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All rights reserved.\r\nLicensed under the Apache License, Version 2.0 (the \"License\"); you may not use\r\nthis file except in compliance with the License. You may obtain a copy of the\r\nLicense at http://www.apache.org/licenses/LICENSE-2.0\r\n\r\nTHIS CODE IS PROVIDED ON AN *AS IS* BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY\r\nKIND, EITHER EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION ANY IMPLIED\r\nWARRANTIES OR CONDITIONS OF TITLE, FITNESS FOR A PARTICULAR PURPOSE,\r\nMERCHANTABLITY OR NON-INFRINGEMENT.\r\n\r\nSee the Apache Version 2.0 License for specific language governing permissions\r\nand limitations under the License.\r\n***************************************************************************** */\n\n/* global Reflect, Promise */\nvar extendStatics = Object.setPrototypeOf || {\n  __proto__: []\n} instanceof Array && function (d, b) {\n  d.__proto__ = b;\n} || function (d, b) {\n  for (var p in b) {\n    if (b.hasOwnProperty(p)) d[p] = b[p];\n  }\n};\n\nfunction __extends(d, b) {\n  extendStatics(d, b);\n\n  function __() {\n    this.constructor = d;\n  }\n\n  d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());\n}\n\nvar __assign = Object.assign || function __assign(t) {\n  for (var s, i = 1, n = arguments.length; i < n; i++) {\n    s = arguments[i];\n\n    for (var p in s) {\n      if (Object.prototype.hasOwnProperty.call(s, p)) t[p] = s[p];\n    }\n  }\n\n  return t;\n};\n\nfunction __values(o) {\n  var m = typeof Symbol === \"function\" && o[Symbol.iterator],\n      i = 0;\n  if (m) return m.call(o);\n  return {\n    next: function next() {\n      if (o && i >= o.length) o = void 0;\n      return {\n        value: o && o[i++],\n        done: !o\n      };\n    }\n  };\n}\n\nfunction __read(o, n) {\n  var m = typeof Symbol === \"function\" && o[Symbol.iterator];\n  if (!m) return o;\n  var i = m.call(o),\n      r,\n      ar = [],\n      e;\n\n  try {\n    while ((n === void 0 || n-- > 0) && !(r = i.next()).done) {\n      ar.push(r.value);\n    }\n  } catch (error) {\n    e = {\n      error: error\n    };\n  } finally {\n    try {\n      if (r && !r.done && (m = i[\"return\"])) m.call(i);\n    } finally {\n      if (e) throw e.error;\n    }\n  }\n\n  return ar;\n}\n\nfunction __spread() {\n  for (var ar = [], i = 0; i < arguments.length; i++) {\n    ar = ar.concat(__read(arguments[i]));\n  }\n\n  return ar;\n}\n\nvar OBFUSCATED_ERROR$$1 = \"An invariant failed, however the error is obfuscated because this is an production build.\";\nvar EMPTY_ARRAY$$1 = [];\nObject.freeze(EMPTY_ARRAY$$1);\nvar EMPTY_OBJECT$$1 = {};\nObject.freeze(EMPTY_OBJECT$$1);\n\nfunction getNextId$$1() {\n  return ++globalState$$1.mobxGuid;\n}\n\nfunction fail$$1(message) {\n  invariant$$1(false, message);\n  throw \"X\"; // unreachable\n}\n\nfunction invariant$$1(check, message) {\n  if (!check) throw new Error(\"[mobx] \" + (message || OBFUSCATED_ERROR$$1));\n}\n/**\n * Prints a deprecation message, but only one time.\n * Returns false if the deprecated message was already printed before\n */\n\n\nvar deprecatedMessages = [];\n\nfunction deprecated$$1(msg, thing) {\n  if (process.env.NODE_ENV === \"production\") return false;\n\n  if (thing) {\n    return deprecated$$1(\"'\" + msg + \"', use '\" + thing + \"' instead.\");\n  }\n\n  if (deprecatedMessages.indexOf(msg) !== -1) return false;\n  deprecatedMessages.push(msg);\n  console.error(\"[mobx] Deprecated: \" + msg);\n  return true;\n}\n/**\n * Makes sure that the provided function is invoked at most once.\n */\n\n\nfunction once$$1(func) {\n  var invoked = false;\n  return function () {\n    if (invoked) return;\n    invoked = true;\n    return func.apply(this, arguments);\n  };\n}\n\nvar noop$$1 = function noop$$1() {};\n\nfunction unique$$1(list) {\n  var res = [];\n  list.forEach(function (item) {\n    if (res.indexOf(item) === -1) res.push(item);\n  });\n  return res;\n}\n\nfunction isObject$$1(value) {\n  return value !== null && typeof value === \"object\";\n}\n\nfunction isPlainObject$$1(value) {\n  if (value === null || typeof value !== \"object\") return false;\n  var proto = Object.getPrototypeOf(value);\n  return proto === Object.prototype || proto === null;\n}\n\nfunction addHiddenProp$$1(object, propName, value) {\n  Object.defineProperty(object, propName, {\n    enumerable: false,\n    writable: true,\n    configurable: true,\n    value: value\n  });\n}\n\nfunction addHiddenFinalProp$$1(object, propName, value) {\n  Object.defineProperty(object, propName, {\n    enumerable: false,\n    writable: false,\n    configurable: true,\n    value: value\n  });\n}\n\nfunction isPropertyConfigurable$$1(object, prop) {\n  var descriptor = Object.getOwnPropertyDescriptor(object, prop);\n  return !descriptor || descriptor.configurable !== false && descriptor.writable !== false;\n}\n\nfunction assertPropertyConfigurable$$1(object, prop) {\n  if (process.env.NODE_ENV !== \"production\" && !isPropertyConfigurable$$1(object, prop)) fail$$1(\"Cannot make property '\" + prop.toString() + \"' observable, it is not configurable and writable in the target object\");\n}\n\nfunction createInstanceofPredicate$$1(name, clazz) {\n  var propName = \"isMobX\" + name;\n  clazz.prototype[propName] = true;\n  return function (x) {\n    return isObject$$1(x) && x[propName] === true;\n  };\n}\n/**\n * Returns whether the argument is an array, disregarding observability.\n */\n\n\nfunction isArrayLike$$1(x) {\n  return Array.isArray(x) || isObservableArray$$1(x);\n}\n\nfunction isES6Map$$1(thing) {\n  return thing instanceof Map;\n}\n\nfunction getMapLikeKeys$$1(map) {\n  if (isPlainObject$$1(map)) return Object.keys(map);\n  if (Array.isArray(map)) return map.map(function (_a) {\n    var _b = __read(_a, 1),\n        key = _b[0];\n\n    return key;\n  });\n  if (isES6Map$$1(map) || isObservableMap$$1(map)) return Array.from(map.keys());\n  return fail$$1(\"Cannot get keys from '\" + map + \"'\");\n}\n\nfunction toPrimitive$$1(value) {\n  return value === null ? null : typeof value === \"object\" ? \"\" + value : value;\n}\n\nvar $mobx$$1 = Symbol(\"mobx administration\");\n\nvar Atom$$1 =\n/** @class */\nfunction () {\n  /**\n   * Create a new atom. For debugging purposes it is recommended to give it a name.\n   * The onBecomeObserved and onBecomeUnobserved callbacks can be used for resource management.\n   */\n  function Atom$$1(name) {\n    if (name === void 0) {\n      name = \"Atom@\" + getNextId$$1();\n    }\n\n    this.name = name;\n    this.isPendingUnobservation = false; // for effective unobserving. BaseAtom has true, for extra optimization, so its onBecomeUnobserved never gets called, because it's not needed\n\n    this.isBeingObserved = false;\n    this.observers = new Set();\n    this.diffValue = 0;\n    this.lastAccessedBy = 0;\n    this.lowestObserverState = IDerivationState.NOT_TRACKING;\n  }\n\n  Atom$$1.prototype.onBecomeObserved = function () {\n    if (this.onBecomeObservedListeners) {\n      this.onBecomeObservedListeners.forEach(function (listener) {\n        return listener();\n      });\n    }\n  };\n\n  Atom$$1.prototype.onBecomeUnobserved = function () {\n    if (this.onBecomeUnobservedListeners) {\n      this.onBecomeUnobservedListeners.forEach(function (listener) {\n        return listener();\n      });\n    }\n  };\n  /**\n   * Invoke this method to notify mobx that your atom has been used somehow.\n   * Returns true if there is currently a reactive context.\n   */\n\n\n  Atom$$1.prototype.reportObserved = function () {\n    return reportObserved$$1(this);\n  };\n  /**\n   * Invoke this method _after_ this method has changed to signal mobx that all its observers should invalidate.\n   */\n\n\n  Atom$$1.prototype.reportChanged = function () {\n    startBatch$$1();\n    propagateChanged$$1(this);\n    endBatch$$1();\n  };\n\n  Atom$$1.prototype.toString = function () {\n    return this.name;\n  };\n\n  return Atom$$1;\n}();\n\nvar isAtom$$1 = createInstanceofPredicate$$1(\"Atom\", Atom$$1);\n\nfunction createAtom$$1(name, onBecomeObservedHandler, onBecomeUnobservedHandler) {\n  if (onBecomeObservedHandler === void 0) {\n    onBecomeObservedHandler = noop$$1;\n  }\n\n  if (onBecomeUnobservedHandler === void 0) {\n    onBecomeUnobservedHandler = noop$$1;\n  }\n\n  var atom = new Atom$$1(name); // default `noop` listener will not initialize the hook Set\n\n  if (onBecomeObservedHandler !== noop$$1) {\n    onBecomeObserved$$1(atom, onBecomeObservedHandler);\n  }\n\n  if (onBecomeUnobservedHandler !== noop$$1) {\n    onBecomeUnobserved$$1(atom, onBecomeUnobservedHandler);\n  }\n\n  return atom;\n}\n\nfunction identityComparer(a, b) {\n  return a === b;\n}\n\nfunction structuralComparer(a, b) {\n  return deepEqual$$1(a, b);\n}\n\nfunction defaultComparer(a, b) {\n  return Object.is(a, b);\n}\n\nvar comparer$$1 = {\n  identity: identityComparer,\n  structural: structuralComparer,\n  default: defaultComparer\n};\nvar mobxDidRunLazyInitializersSymbol$$1 = Symbol(\"mobx did run lazy initializers\");\nvar mobxPendingDecorators$$1 = Symbol(\"mobx pending decorators\");\nvar enumerableDescriptorCache = {};\nvar nonEnumerableDescriptorCache = {};\n\nfunction createPropertyInitializerDescriptor(prop, enumerable) {\n  var cache = enumerable ? enumerableDescriptorCache : nonEnumerableDescriptorCache;\n  return cache[prop] || (cache[prop] = {\n    configurable: true,\n    enumerable: enumerable,\n    get: function get() {\n      initializeInstance$$1(this);\n      return this[prop];\n    },\n    set: function set(value) {\n      initializeInstance$$1(this);\n      this[prop] = value;\n    }\n  });\n}\n\nfunction initializeInstance$$1(target) {\n  if (target[mobxDidRunLazyInitializersSymbol$$1] === true) return;\n  var decorators = target[mobxPendingDecorators$$1];\n\n  if (decorators) {\n    addHiddenProp$$1(target, mobxDidRunLazyInitializersSymbol$$1, true);\n\n    for (var key in decorators) {\n      var d = decorators[key];\n      d.propertyCreator(target, d.prop, d.descriptor, d.decoratorTarget, d.decoratorArguments);\n    }\n  }\n}\n\nfunction createPropDecorator$$1(propertyInitiallyEnumerable, propertyCreator) {\n  return function decoratorFactory() {\n    var decoratorArguments;\n\n    var decorator = function decorate$$1(target, prop, descriptor, applyImmediately // This is a special parameter to signal the direct application of a decorator, allow extendObservable to skip the entire type decoration part,\n    // as the instance to apply the decorator to equals the target\n    ) {\n      if (applyImmediately === true) {\n        propertyCreator(target, prop, descriptor, target, decoratorArguments);\n        return null;\n      }\n\n      if (process.env.NODE_ENV !== \"production\" && !quacksLikeADecorator$$1(arguments)) fail$$1(\"This function is a decorator, but it wasn't invoked like a decorator\");\n\n      if (!Object.prototype.hasOwnProperty.call(target, mobxPendingDecorators$$1)) {\n        var inheritedDecorators = target[mobxPendingDecorators$$1];\n        addHiddenProp$$1(target, mobxPendingDecorators$$1, __assign({}, inheritedDecorators));\n      }\n\n      target[mobxPendingDecorators$$1][prop] = {\n        prop: prop,\n        propertyCreator: propertyCreator,\n        descriptor: descriptor,\n        decoratorTarget: target,\n        decoratorArguments: decoratorArguments\n      };\n      return createPropertyInitializerDescriptor(prop, propertyInitiallyEnumerable);\n    };\n\n    if (quacksLikeADecorator$$1(arguments)) {\n      // @decorator\n      decoratorArguments = EMPTY_ARRAY$$1;\n      return decorator.apply(null, arguments);\n    } else {\n      // @decorator(args)\n      decoratorArguments = Array.prototype.slice.call(arguments);\n      return decorator;\n    }\n  };\n}\n\nfunction quacksLikeADecorator$$1(args) {\n  return (args.length === 2 || args.length === 3) && typeof args[1] === \"string\" || args.length === 4 && args[3] === true;\n}\n\nfunction deepEnhancer$$1(v, _, name) {\n  // it is an observable already, done\n  if (isObservable$$1(v)) return v; // something that can be converted and mutated?\n\n  if (Array.isArray(v)) return observable$$1.array(v, {\n    name: name\n  });\n  if (isPlainObject$$1(v)) return observable$$1.object(v, undefined, {\n    name: name\n  });\n  if (isES6Map$$1(v)) return observable$$1.map(v, {\n    name: name\n  });\n  return v;\n}\n\nfunction shallowEnhancer$$1(v, _, name) {\n  if (v === undefined || v === null) return v;\n  if (isObservableObject$$1(v) || isObservableArray$$1(v) || isObservableMap$$1(v)) return v;\n  if (Array.isArray(v)) return observable$$1.array(v, {\n    name: name,\n    deep: false\n  });\n  if (isPlainObject$$1(v)) return observable$$1.object(v, undefined, {\n    name: name,\n    deep: false\n  });\n  if (isES6Map$$1(v)) return observable$$1.map(v, {\n    name: name,\n    deep: false\n  });\n  return fail$$1(process.env.NODE_ENV !== \"production\" && \"The shallow modifier / decorator can only used in combination with arrays, objects and maps\");\n}\n\nfunction referenceEnhancer$$1(newValue) {\n  // never turn into an observable\n  return newValue;\n}\n\nfunction refStructEnhancer$$1(v, oldValue, name) {\n  if (process.env.NODE_ENV !== \"production\" && isObservable$$1(v)) throw \"observable.struct should not be used with observable values\";\n  if (deepEqual$$1(v, oldValue)) return oldValue;\n  return v;\n}\n\nfunction createDecoratorForEnhancer$$1(enhancer) {\n  invariant$$1(enhancer);\n  var decorator = createPropDecorator$$1(true, function (target, propertyName, descriptor, _decoratorTarget, decoratorArgs) {\n    if (process.env.NODE_ENV !== \"production\") {\n      invariant$$1(!descriptor || !descriptor.get, \"@observable cannot be used on getter (property \\\"\" + propertyName + \"\\\"), use @computed instead.\");\n    }\n\n    var initialValue = descriptor ? descriptor.initializer ? descriptor.initializer.call(target) : descriptor.value : undefined;\n    asObservableObject$$1(target).addObservableProp(propertyName, initialValue, enhancer);\n  });\n  var res = // Extra process checks, as this happens during module initialization\n  typeof process !== \"undefined\" && process.env && process.env.NODE_ENV !== \"production\" ? function observableDecorator() {\n    // This wrapper function is just to detect illegal decorator invocations, deprecate in a next version\n    // and simply return the created prop decorator\n    if (arguments.length < 2) return fail$$1(\"Incorrect decorator invocation. @observable decorator doesn't expect any arguments\");\n    return decorator.apply(null, arguments);\n  } : decorator;\n  res.enhancer = enhancer;\n  return res;\n} // Predefined bags of create observable options, to avoid allocating temporarily option objects\n// in the majority of cases\n\n\nvar defaultCreateObservableOptions$$1 = {\n  deep: true,\n  name: undefined,\n  defaultDecorator: undefined,\n  proxy: true\n};\nObject.freeze(defaultCreateObservableOptions$$1);\n\nfunction assertValidOption(key) {\n  if (!/^(deep|name|defaultDecorator|proxy)$/.test(key)) fail$$1(\"invalid option for (extend)observable: \" + key);\n}\n\nfunction asCreateObservableOptions$$1(thing) {\n  if (thing === null || thing === undefined) return defaultCreateObservableOptions$$1;\n  if (typeof thing === \"string\") return {\n    name: thing,\n    deep: true,\n    proxy: true\n  };\n\n  if (process.env.NODE_ENV !== \"production\") {\n    if (typeof thing !== \"object\") return fail$$1(\"expected options object\");\n    Object.keys(thing).forEach(assertValidOption);\n  }\n\n  return thing;\n}\n\nvar deepDecorator$$1 = createDecoratorForEnhancer$$1(deepEnhancer$$1);\nvar shallowDecorator = createDecoratorForEnhancer$$1(shallowEnhancer$$1);\nvar refDecorator$$1 = createDecoratorForEnhancer$$1(referenceEnhancer$$1);\nvar refStructDecorator = createDecoratorForEnhancer$$1(refStructEnhancer$$1);\n\nfunction getEnhancerFromOptions(options) {\n  return options.defaultDecorator ? options.defaultDecorator.enhancer : options.deep === false ? referenceEnhancer$$1 : deepEnhancer$$1;\n}\n/**\n * Turns an object, array or function into a reactive structure.\n * @param v the value which should become observable.\n */\n\n\nfunction createObservable(v, arg2, arg3) {\n  // @observable someProp;\n  if (typeof arguments[1] === \"string\") {\n    return deepDecorator$$1.apply(null, arguments);\n  } // it is an observable already, done\n\n\n  if (isObservable$$1(v)) return v; // something that can be converted and mutated?\n\n  var res = isPlainObject$$1(v) ? observable$$1.object(v, arg2, arg3) : Array.isArray(v) ? observable$$1.array(v, arg2) : isES6Map$$1(v) ? observable$$1.map(v, arg2) : v; // this value could be converted to a new observable data structure, return it\n\n  if (res !== v) return res; // otherwise, just box it\n\n  fail$$1(process.env.NODE_ENV !== \"production\" && \"The provided value could not be converted into an observable. If you want just create an observable reference to the object use 'observable.box(value)'\");\n}\n\nvar observableFactories = {\n  box: function box(value, options) {\n    if (arguments.length > 2) incorrectlyUsedAsDecorator(\"box\");\n    var o = asCreateObservableOptions$$1(options);\n    return new ObservableValue$$1(value, getEnhancerFromOptions(o), o.name);\n  },\n  array: function array(initialValues, options) {\n    if (arguments.length > 2) incorrectlyUsedAsDecorator(\"array\");\n    var o = asCreateObservableOptions$$1(options);\n    return createObservableArray$$1(initialValues, getEnhancerFromOptions(o), o.name);\n  },\n  map: function map(initialValues, options) {\n    if (arguments.length > 2) incorrectlyUsedAsDecorator(\"map\");\n    var o = asCreateObservableOptions$$1(options);\n    return new ObservableMap$$1(initialValues, getEnhancerFromOptions(o), o.name);\n  },\n  object: function object(props, decorators, options) {\n    if (typeof arguments[1] === \"string\") incorrectlyUsedAsDecorator(\"object\");\n    var o = asCreateObservableOptions$$1(options);\n\n    if (o.proxy === false) {\n      return extendObservable$$1({}, props, decorators, o);\n    } else {\n      var defaultDecorator = getDefaultDecoratorFromObjectOptions$$1(o);\n      var base = extendObservable$$1({}, undefined, undefined, o);\n      var proxy = createDynamicObservableObject$$1(base);\n      extendObservableObjectWithProperties$$1(proxy, props, decorators, defaultDecorator);\n      return proxy;\n    }\n  },\n  ref: refDecorator$$1,\n  shallow: shallowDecorator,\n  deep: deepDecorator$$1,\n  struct: refStructDecorator\n};\nvar observable$$1 = createObservable; // weird trick to keep our typings nicely with our funcs, and still extend the observable function\n\nObject.keys(observableFactories).forEach(function (name) {\n  return observable$$1[name] = observableFactories[name];\n});\n\nfunction incorrectlyUsedAsDecorator(methodName) {\n  fail$$1( // process.env.NODE_ENV !== \"production\" &&\n  \"Expected one or two arguments to observable.\" + methodName + \". Did you accidentally try to use observable.\" + methodName + \" as decorator?\");\n}\n\nvar computedDecorator$$1 = createPropDecorator$$1(false, function (instance, propertyName, descriptor, decoratorTarget, decoratorArgs) {\n  var get$$1 = descriptor.get,\n      set$$1 = descriptor.set; // initialValue is the descriptor for get / set props\n  // Optimization: faster on decorator target or instance? Assuming target\n  // Optimization: find out if declaring on instance isn't just faster. (also makes the property descriptor simpler). But, more memory usage..\n  // Forcing instance now, fixes hot reloadig issues on React Native:\n\n  var options = decoratorArgs[0] || {};\n  asObservableObject$$1(instance).addComputedProp(instance, propertyName, __assign({\n    get: get$$1,\n    set: set$$1,\n    context: instance\n  }, options));\n});\nvar computedStructDecorator = computedDecorator$$1({\n  equals: comparer$$1.structural\n});\n/**\n * Decorator for class properties: @computed get value() { return expr; }.\n * For legacy purposes also invokable as ES5 observable created: `computed(() => expr)`;\n */\n\nvar computed$$1 = function computed$$1(arg1, arg2, arg3) {\n  if (typeof arg2 === \"string\") {\n    // @computed\n    return computedDecorator$$1.apply(null, arguments);\n  }\n\n  if (arg1 !== null && typeof arg1 === \"object\" && arguments.length === 1) {\n    // @computed({ options })\n    return computedDecorator$$1.apply(null, arguments);\n  } // computed(expr, options?)\n\n\n  if (process.env.NODE_ENV !== \"production\") {\n    invariant$$1(typeof arg1 === \"function\", \"First argument to `computed` should be an expression.\");\n    invariant$$1(arguments.length < 3, \"Computed takes one or two arguments if used as function\");\n  }\n\n  var opts = typeof arg2 === \"object\" ? arg2 : {};\n  opts.get = arg1;\n  opts.set = typeof arg2 === \"function\" ? arg2 : opts.set;\n  opts.name = opts.name || arg1.name || \"\";\n  /* for generated name */\n\n  return new ComputedValue$$1(opts);\n};\n\ncomputed$$1.struct = computedStructDecorator;\n\nfunction createAction$$1(actionName, fn) {\n  if (process.env.NODE_ENV !== \"production\") {\n    invariant$$1(typeof fn === \"function\", \"`action` can only be invoked on functions\");\n    if (typeof actionName !== \"string\" || !actionName) fail$$1(\"actions should have valid names, got: '\" + actionName + \"'\");\n  }\n\n  var res = function res() {\n    return executeAction$$1(actionName, fn, this, arguments);\n  };\n\n  res.isMobxAction = true;\n  return res;\n}\n\nfunction executeAction$$1(actionName, fn, scope, args) {\n  var runInfo = startAction(actionName, fn, scope, args);\n\n  try {\n    return fn.apply(scope, args);\n  } finally {\n    endAction(runInfo);\n  }\n}\n\nfunction startAction(actionName, fn, scope, args) {\n  var notifySpy = isSpyEnabled$$1() && !!actionName;\n  var startTime = 0;\n\n  if (notifySpy && process.env.NODE_ENV !== \"production\") {\n    startTime = Date.now();\n    var l = args && args.length || 0;\n    var flattendArgs = new Array(l);\n    if (l > 0) for (var i = 0; i < l; i++) {\n      flattendArgs[i] = args[i];\n    }\n    spyReportStart$$1({\n      type: \"action\",\n      name: actionName,\n      object: scope,\n      arguments: flattendArgs\n    });\n  }\n\n  var prevDerivation = untrackedStart$$1();\n  startBatch$$1();\n  var prevAllowStateChanges = allowStateChangesStart$$1(true);\n  return {\n    prevDerivation: prevDerivation,\n    prevAllowStateChanges: prevAllowStateChanges,\n    notifySpy: notifySpy,\n    startTime: startTime\n  };\n}\n\nfunction endAction(runInfo) {\n  allowStateChangesEnd$$1(runInfo.prevAllowStateChanges);\n  endBatch$$1();\n  untrackedEnd$$1(runInfo.prevDerivation);\n  if (runInfo.notifySpy && process.env.NODE_ENV !== \"production\") spyReportEnd$$1({\n    time: Date.now() - runInfo.startTime\n  });\n}\n\nfunction allowStateChanges$$1(allowStateChanges$$1, func) {\n  var prev = allowStateChangesStart$$1(allowStateChanges$$1);\n  var res;\n\n  try {\n    res = func();\n  } finally {\n    allowStateChangesEnd$$1(prev);\n  }\n\n  return res;\n}\n\nfunction allowStateChangesStart$$1(allowStateChanges$$1) {\n  var prev = globalState$$1.allowStateChanges;\n  globalState$$1.allowStateChanges = allowStateChanges$$1;\n  return prev;\n}\n\nfunction allowStateChangesEnd$$1(prev) {\n  globalState$$1.allowStateChanges = prev;\n}\n\nfunction allowStateChangesInsideComputed$$1(func) {\n  var prev = globalState$$1.computationDepth;\n  globalState$$1.computationDepth = 0;\n  var res;\n\n  try {\n    res = func();\n  } finally {\n    globalState$$1.computationDepth = prev;\n  }\n\n  return res;\n}\n\nvar ObservableValue$$1 =\n/** @class */\nfunction (_super) {\n  __extends(ObservableValue$$1, _super);\n\n  function ObservableValue$$1(value, enhancer, name, notifySpy) {\n    if (name === void 0) {\n      name = \"ObservableValue@\" + getNextId$$1();\n    }\n\n    if (notifySpy === void 0) {\n      notifySpy = true;\n    }\n\n    var _this = _super.call(this, name) || this;\n\n    _this.enhancer = enhancer;\n    _this.hasUnreportedChange = false;\n    _this.value = enhancer(value, undefined, name);\n\n    if (notifySpy && isSpyEnabled$$1() && process.env.NODE_ENV !== \"production\") {\n      // only notify spy if this is a stand-alone observable\n      spyReport$$1({\n        type: \"create\",\n        name: _this.name,\n        newValue: \"\" + _this.value\n      });\n    }\n\n    return _this;\n  }\n\n  ObservableValue$$1.prototype.dehanceValue = function (value) {\n    if (this.dehancer !== undefined) return this.dehancer(value);\n    return value;\n  };\n\n  ObservableValue$$1.prototype.set = function (newValue) {\n    var oldValue = this.value;\n    newValue = this.prepareNewValue(newValue);\n\n    if (newValue !== globalState$$1.UNCHANGED) {\n      var notifySpy = isSpyEnabled$$1();\n\n      if (notifySpy && process.env.NODE_ENV !== \"production\") {\n        spyReportStart$$1({\n          type: \"update\",\n          name: this.name,\n          newValue: newValue,\n          oldValue: oldValue\n        });\n      }\n\n      this.setNewValue(newValue);\n      if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportEnd$$1();\n    }\n  };\n\n  ObservableValue$$1.prototype.prepareNewValue = function (newValue) {\n    checkIfStateModificationsAreAllowed$$1(this);\n\n    if (hasInterceptors$$1(this)) {\n      var change = interceptChange$$1(this, {\n        object: this,\n        type: \"update\",\n        newValue: newValue\n      });\n      if (!change) return globalState$$1.UNCHANGED;\n      newValue = change.newValue;\n    } // apply modifier\n\n\n    newValue = this.enhancer(newValue, this.value, this.name);\n    return this.value !== newValue ? newValue : globalState$$1.UNCHANGED;\n  };\n\n  ObservableValue$$1.prototype.setNewValue = function (newValue) {\n    var oldValue = this.value;\n    this.value = newValue;\n    this.reportChanged();\n\n    if (hasListeners$$1(this)) {\n      notifyListeners$$1(this, {\n        type: \"update\",\n        object: this,\n        newValue: newValue,\n        oldValue: oldValue\n      });\n    }\n  };\n\n  ObservableValue$$1.prototype.get = function () {\n    this.reportObserved();\n    return this.dehanceValue(this.value);\n  };\n\n  ObservableValue$$1.prototype.intercept = function (handler) {\n    return registerInterceptor$$1(this, handler);\n  };\n\n  ObservableValue$$1.prototype.observe = function (listener, fireImmediately) {\n    if (fireImmediately) listener({\n      object: this,\n      type: \"update\",\n      newValue: this.value,\n      oldValue: undefined\n    });\n    return registerListener$$1(this, listener);\n  };\n\n  ObservableValue$$1.prototype.toJSON = function () {\n    return this.get();\n  };\n\n  ObservableValue$$1.prototype.toString = function () {\n    return this.name + \"[\" + this.value + \"]\";\n  };\n\n  ObservableValue$$1.prototype.valueOf = function () {\n    return toPrimitive$$1(this.get());\n  };\n\n  ObservableValue$$1.prototype[Symbol.toPrimitive] = function () {\n    return this.valueOf();\n  };\n\n  return ObservableValue$$1;\n}(Atom$$1);\n\nvar isObservableValue$$1 = createInstanceofPredicate$$1(\"ObservableValue\", ObservableValue$$1);\n/**\n * A node in the state dependency root that observes other nodes, and can be observed itself.\n *\n * ComputedValue will remember the result of the computation for the duration of the batch, or\n * while being observed.\n *\n * During this time it will recompute only when one of its direct dependencies changed,\n * but only when it is being accessed with `ComputedValue.get()`.\n *\n * Implementation description:\n * 1. First time it's being accessed it will compute and remember result\n *    give back remembered result until 2. happens\n * 2. First time any deep dependency change, propagate POSSIBLY_STALE to all observers, wait for 3.\n * 3. When it's being accessed, recompute if any shallow dependency changed.\n *    if result changed: propagate STALE to all observers, that were POSSIBLY_STALE from the last step.\n *    go to step 2. either way\n *\n * If at any point it's outside batch and it isn't observed: reset everything and go to 1.\n */\n\nvar ComputedValue$$1 =\n/** @class */\nfunction () {\n  /**\n   * Create a new computed value based on a function expression.\n   *\n   * The `name` property is for debug purposes only.\n   *\n   * The `equals` property specifies the comparer function to use to determine if a newly produced\n   * value differs from the previous value. Two comparers are provided in the library; `defaultComparer`\n   * compares based on identity comparison (===), and `structualComparer` deeply compares the structure.\n   * Structural comparison can be convenient if you always produce a new aggregated object and\n   * don't want to notify observers if it is structurally the same.\n   * This is useful for working with vectors, mouse coordinates etc.\n   */\n  function ComputedValue$$1(options) {\n    this.dependenciesState = IDerivationState.NOT_TRACKING;\n    this.observing = []; // nodes we are looking at. Our value depends on these nodes\n\n    this.newObserving = null; // during tracking it's an array with new observed observers\n\n    this.isBeingObserved = false;\n    this.isPendingUnobservation = false;\n    this.observers = new Set();\n    this.diffValue = 0;\n    this.runId = 0;\n    this.lastAccessedBy = 0;\n    this.lowestObserverState = IDerivationState.UP_TO_DATE;\n    this.unboundDepsCount = 0;\n    this.__mapid = \"#\" + getNextId$$1();\n    this.value = new CaughtException$$1(null);\n    this.isComputing = false; // to check for cycles\n\n    this.isRunningSetter = false;\n    this.isTracing = TraceMode$$1.NONE;\n    if (process.env.NODE_ENV !== \"production\" && !options.get) throw \"[mobx] missing option for computed: get\";\n    this.derivation = options.get;\n    this.name = options.name || \"ComputedValue@\" + getNextId$$1();\n    if (options.set) this.setter = createAction$$1(this.name + \"-setter\", options.set);\n    this.equals = options.equals || (options.compareStructural || options.struct ? comparer$$1.structural : comparer$$1.default);\n    this.scope = options.context;\n    this.requiresReaction = !!options.requiresReaction;\n    this.keepAlive = !!options.keepAlive;\n  }\n\n  ComputedValue$$1.prototype.onBecomeStale = function () {\n    propagateMaybeChanged$$1(this);\n  };\n\n  ComputedValue$$1.prototype.onBecomeObserved = function () {\n    if (this.onBecomeObservedListeners) {\n      this.onBecomeObservedListeners.forEach(function (listener) {\n        return listener();\n      });\n    }\n  };\n\n  ComputedValue$$1.prototype.onBecomeUnobserved = function () {\n    if (this.onBecomeUnobservedListeners) {\n      this.onBecomeUnobservedListeners.forEach(function (listener) {\n        return listener();\n      });\n    }\n  };\n  /**\n   * Returns the current value of this computed value.\n   * Will evaluate its computation first if needed.\n   */\n\n\n  ComputedValue$$1.prototype.get = function () {\n    if (this.isComputing) fail$$1(\"Cycle detected in computation \" + this.name + \": \" + this.derivation);\n\n    if (globalState$$1.inBatch === 0 && this.observers.size === 0 && !this.keepAlive) {\n      if (shouldCompute$$1(this)) {\n        this.warnAboutUntrackedRead();\n        startBatch$$1(); // See perf test 'computed memoization'\n\n        this.value = this.computeValue(false);\n        endBatch$$1();\n      }\n    } else {\n      reportObserved$$1(this);\n      if (shouldCompute$$1(this)) if (this.trackAndCompute()) propagateChangeConfirmed$$1(this);\n    }\n\n    var result = this.value;\n    if (isCaughtException$$1(result)) throw result.cause;\n    return result;\n  };\n\n  ComputedValue$$1.prototype.peek = function () {\n    var res = this.computeValue(false);\n    if (isCaughtException$$1(res)) throw res.cause;\n    return res;\n  };\n\n  ComputedValue$$1.prototype.set = function (value) {\n    if (this.setter) {\n      invariant$$1(!this.isRunningSetter, \"The setter of computed value '\" + this.name + \"' is trying to update itself. Did you intend to update an _observable_ value, instead of the computed property?\");\n      this.isRunningSetter = true;\n\n      try {\n        this.setter.call(this.scope, value);\n      } finally {\n        this.isRunningSetter = false;\n      }\n    } else invariant$$1(false, process.env.NODE_ENV !== \"production\" && \"[ComputedValue '\" + this.name + \"'] It is not possible to assign a new value to a computed value.\");\n  };\n\n  ComputedValue$$1.prototype.trackAndCompute = function () {\n    if (isSpyEnabled$$1() && process.env.NODE_ENV !== \"production\") {\n      spyReport$$1({\n        object: this.scope,\n        type: \"compute\",\n        name: this.name\n      });\n    }\n\n    var oldValue = this.value;\n    var wasSuspended =\n    /* see #1208 */\n    this.dependenciesState === IDerivationState.NOT_TRACKING;\n    var newValue = this.computeValue(true);\n    var changed = wasSuspended || isCaughtException$$1(oldValue) || isCaughtException$$1(newValue) || !this.equals(oldValue, newValue);\n\n    if (changed) {\n      this.value = newValue;\n    }\n\n    return changed;\n  };\n\n  ComputedValue$$1.prototype.computeValue = function (track) {\n    this.isComputing = true;\n    globalState$$1.computationDepth++;\n    var res;\n\n    if (track) {\n      res = trackDerivedFunction$$1(this, this.derivation, this.scope);\n    } else {\n      if (globalState$$1.disableErrorBoundaries === true) {\n        res = this.derivation.call(this.scope);\n      } else {\n        try {\n          res = this.derivation.call(this.scope);\n        } catch (e) {\n          res = new CaughtException$$1(e);\n        }\n      }\n    }\n\n    globalState$$1.computationDepth--;\n    this.isComputing = false;\n    return res;\n  };\n\n  ComputedValue$$1.prototype.suspend = function () {\n    if (!this.keepAlive) {\n      clearObserving$$1(this);\n      this.value = undefined; // don't hold on to computed value!\n    }\n  };\n\n  ComputedValue$$1.prototype.observe = function (listener, fireImmediately) {\n    var _this = this;\n\n    var firstTime = true;\n    var prevValue = undefined;\n    return autorun$$1(function () {\n      var newValue = _this.get();\n\n      if (!firstTime || fireImmediately) {\n        var prevU = untrackedStart$$1();\n        listener({\n          type: \"update\",\n          object: _this,\n          newValue: newValue,\n          oldValue: prevValue\n        });\n        untrackedEnd$$1(prevU);\n      }\n\n      firstTime = false;\n      prevValue = newValue;\n    });\n  };\n\n  ComputedValue$$1.prototype.warnAboutUntrackedRead = function () {\n    if (process.env.NODE_ENV === \"production\") return;\n\n    if (this.requiresReaction === true) {\n      fail$$1(\"[mobx] Computed value \" + this.name + \" is read outside a reactive context\");\n    }\n\n    if (this.isTracing !== TraceMode$$1.NONE) {\n      console.log(\"[mobx.trace] '\" + this.name + \"' is being read outside a reactive context. Doing a full recompute\");\n    }\n\n    if (globalState$$1.computedRequiresReaction) {\n      console.warn(\"[mobx] Computed value \" + this.name + \" is being read outside a reactive context. Doing a full recompute\");\n    }\n  };\n\n  ComputedValue$$1.prototype.toJSON = function () {\n    return this.get();\n  };\n\n  ComputedValue$$1.prototype.toString = function () {\n    return this.name + \"[\" + this.derivation.toString() + \"]\";\n  };\n\n  ComputedValue$$1.prototype.valueOf = function () {\n    return toPrimitive$$1(this.get());\n  };\n\n  ComputedValue$$1.prototype[Symbol.toPrimitive] = function () {\n    return this.valueOf();\n  };\n\n  return ComputedValue$$1;\n}();\n\nvar isComputedValue$$1 = createInstanceofPredicate$$1(\"ComputedValue\", ComputedValue$$1);\nvar IDerivationState;\n\n(function (IDerivationState$$1) {\n  // before being run or (outside batch and not being observed)\n  // at this point derivation is not holding any data about dependency tree\n  IDerivationState$$1[IDerivationState$$1[\"NOT_TRACKING\"] = -1] = \"NOT_TRACKING\"; // no shallow dependency changed since last computation\n  // won't recalculate derivation\n  // this is what makes mobx fast\n\n  IDerivationState$$1[IDerivationState$$1[\"UP_TO_DATE\"] = 0] = \"UP_TO_DATE\"; // some deep dependency changed, but don't know if shallow dependency changed\n  // will require to check first if UP_TO_DATE or POSSIBLY_STALE\n  // currently only ComputedValue will propagate POSSIBLY_STALE\n  //\n  // having this state is second big optimization:\n  // don't have to recompute on every dependency change, but only when it's needed\n\n  IDerivationState$$1[IDerivationState$$1[\"POSSIBLY_STALE\"] = 1] = \"POSSIBLY_STALE\"; // A shallow dependency has changed since last computation and the derivation\n  // will need to recompute when it's needed next.\n\n  IDerivationState$$1[IDerivationState$$1[\"STALE\"] = 2] = \"STALE\";\n})(IDerivationState || (IDerivationState = {}));\n\nvar TraceMode$$1;\n\n(function (TraceMode$$1) {\n  TraceMode$$1[TraceMode$$1[\"NONE\"] = 0] = \"NONE\";\n  TraceMode$$1[TraceMode$$1[\"LOG\"] = 1] = \"LOG\";\n  TraceMode$$1[TraceMode$$1[\"BREAK\"] = 2] = \"BREAK\";\n})(TraceMode$$1 || (TraceMode$$1 = {}));\n\nvar CaughtException$$1 =\n/** @class */\nfunction () {\n  function CaughtException$$1(cause) {\n    this.cause = cause; // Empty\n  }\n\n  return CaughtException$$1;\n}();\n\nfunction isCaughtException$$1(e) {\n  return e instanceof CaughtException$$1;\n}\n/**\n * Finds out whether any dependency of the derivation has actually changed.\n * If dependenciesState is 1 then it will recalculate dependencies,\n * if any dependency changed it will propagate it by changing dependenciesState to 2.\n *\n * By iterating over the dependencies in the same order that they were reported and\n * stopping on the first change, all the recalculations are only called for ComputedValues\n * that will be tracked by derivation. That is because we assume that if the first x\n * dependencies of the derivation doesn't change then the derivation should run the same way\n * up until accessing x-th dependency.\n */\n\n\nfunction shouldCompute$$1(derivation) {\n  switch (derivation.dependenciesState) {\n    case IDerivationState.UP_TO_DATE:\n      return false;\n\n    case IDerivationState.NOT_TRACKING:\n    case IDerivationState.STALE:\n      return true;\n\n    case IDerivationState.POSSIBLY_STALE:\n      {\n        var prevUntracked = untrackedStart$$1(); // no need for those computeds to be reported, they will be picked up in trackDerivedFunction.\n\n        var obs = derivation.observing,\n            l = obs.length;\n\n        for (var i = 0; i < l; i++) {\n          var obj = obs[i];\n\n          if (isComputedValue$$1(obj)) {\n            if (globalState$$1.disableErrorBoundaries) {\n              obj.get();\n            } else {\n              try {\n                obj.get();\n              } catch (e) {\n                // we are not interested in the value *or* exception at this moment, but if there is one, notify all\n                untrackedEnd$$1(prevUntracked);\n                return true;\n              }\n            } // if ComputedValue `obj` actually changed it will be computed and propagated to its observers.\n            // and `derivation` is an observer of `obj`\n            // invariantShouldCompute(derivation)\n\n\n            if (derivation.dependenciesState === IDerivationState.STALE) {\n              untrackedEnd$$1(prevUntracked);\n              return true;\n            }\n          }\n        }\n\n        changeDependenciesStateTo0$$1(derivation);\n        untrackedEnd$$1(prevUntracked);\n        return false;\n      }\n  }\n} // function invariantShouldCompute(derivation: IDerivation) {\n//     const newDepState = (derivation as any).dependenciesState\n//     if (\n//         process.env.NODE_ENV === \"production\" &&\n//         (newDepState === IDerivationState.POSSIBLY_STALE ||\n//             newDepState === IDerivationState.NOT_TRACKING)\n//     )\n//         fail(\"Illegal dependency state\")\n// }\n\n\nfunction isComputingDerivation$$1() {\n  return globalState$$1.trackingDerivation !== null; // filter out actions inside computations\n}\n\nfunction checkIfStateModificationsAreAllowed$$1(atom) {\n  var hasObservers$$1 = atom.observers.size > 0; // Should never be possible to change an observed observable from inside computed, see #798\n\n  if (globalState$$1.computationDepth > 0 && hasObservers$$1) fail$$1(process.env.NODE_ENV !== \"production\" && \"Computed values are not allowed to cause side effects by changing observables that are already being observed. Tried to modify: \" + atom.name); // Should not be possible to change observed state outside strict mode, except during initialization, see #563\n\n  if (!globalState$$1.allowStateChanges && (hasObservers$$1 || globalState$$1.enforceActions === \"strict\")) fail$$1(process.env.NODE_ENV !== \"production\" && (globalState$$1.enforceActions ? \"Since strict-mode is enabled, changing observed observable values outside actions is not allowed. Please wrap the code in an `action` if this change is intended. Tried to modify: \" : \"Side effects like changing state are not allowed at this point. Are you trying to modify state from, for example, the render function of a React component? Tried to modify: \") + atom.name);\n}\n/**\n * Executes the provided function `f` and tracks which observables are being accessed.\n * The tracking information is stored on the `derivation` object and the derivation is registered\n * as observer of any of the accessed observables.\n */\n\n\nfunction trackDerivedFunction$$1(derivation, f, context) {\n  // pre allocate array allocation + room for variation in deps\n  // array will be trimmed by bindDependencies\n  changeDependenciesStateTo0$$1(derivation);\n  derivation.newObserving = new Array(derivation.observing.length + 100);\n  derivation.unboundDepsCount = 0;\n  derivation.runId = ++globalState$$1.runId;\n  var prevTracking = globalState$$1.trackingDerivation;\n  globalState$$1.trackingDerivation = derivation;\n  var result;\n\n  if (globalState$$1.disableErrorBoundaries === true) {\n    result = f.call(context);\n  } else {\n    try {\n      result = f.call(context);\n    } catch (e) {\n      result = new CaughtException$$1(e);\n    }\n  }\n\n  globalState$$1.trackingDerivation = prevTracking;\n  bindDependencies(derivation);\n  return result;\n}\n/**\n * diffs newObserving with observing.\n * update observing to be newObserving with unique observables\n * notify observers that become observed/unobserved\n */\n\n\nfunction bindDependencies(derivation) {\n  // invariant(derivation.dependenciesState !== IDerivationState.NOT_TRACKING, \"INTERNAL ERROR bindDependencies expects derivation.dependenciesState !== -1\");\n  var prevObserving = derivation.observing;\n  var observing = derivation.observing = derivation.newObserving;\n  var lowestNewObservingDerivationState = IDerivationState.UP_TO_DATE; // Go through all new observables and check diffValue: (this list can contain duplicates):\n  //   0: first occurrence, change to 1 and keep it\n  //   1: extra occurrence, drop it\n\n  var i0 = 0,\n      l = derivation.unboundDepsCount;\n\n  for (var i = 0; i < l; i++) {\n    var dep = observing[i];\n\n    if (dep.diffValue === 0) {\n      dep.diffValue = 1;\n      if (i0 !== i) observing[i0] = dep;\n      i0++;\n    } // Upcast is 'safe' here, because if dep is IObservable, `dependenciesState` will be undefined,\n    // not hitting the condition\n\n\n    if (dep.dependenciesState > lowestNewObservingDerivationState) {\n      lowestNewObservingDerivationState = dep.dependenciesState;\n    }\n  }\n\n  observing.length = i0;\n  derivation.newObserving = null; // newObserving shouldn't be needed outside tracking (statement moved down to work around FF bug, see #614)\n  // Go through all old observables and check diffValue: (it is unique after last bindDependencies)\n  //   0: it's not in new observables, unobserve it\n  //   1: it keeps being observed, don't want to notify it. change to 0\n\n  l = prevObserving.length;\n\n  while (l--) {\n    var dep = prevObserving[l];\n\n    if (dep.diffValue === 0) {\n      removeObserver$$1(dep, derivation);\n    }\n\n    dep.diffValue = 0;\n  } // Go through all new observables and check diffValue: (now it should be unique)\n  //   0: it was set to 0 in last loop. don't need to do anything.\n  //   1: it wasn't observed, let's observe it. set back to 0\n\n\n  while (i0--) {\n    var dep = observing[i0];\n\n    if (dep.diffValue === 1) {\n      dep.diffValue = 0;\n      addObserver$$1(dep, derivation);\n    }\n  } // Some new observed derivations may become stale during this derivation computation\n  // so they have had no chance to propagate staleness (#916)\n\n\n  if (lowestNewObservingDerivationState !== IDerivationState.UP_TO_DATE) {\n    derivation.dependenciesState = lowestNewObservingDerivationState;\n    derivation.onBecomeStale();\n  }\n}\n\nfunction clearObserving$$1(derivation) {\n  // invariant(globalState.inBatch > 0, \"INTERNAL ERROR clearObserving should be called only inside batch\");\n  var obs = derivation.observing;\n  derivation.observing = [];\n  var i = obs.length;\n\n  while (i--) {\n    removeObserver$$1(obs[i], derivation);\n  }\n\n  derivation.dependenciesState = IDerivationState.NOT_TRACKING;\n}\n\nfunction untracked$$1(action$$1) {\n  var prev = untrackedStart$$1();\n\n  try {\n    return action$$1();\n  } finally {\n    untrackedEnd$$1(prev);\n  }\n}\n\nfunction untrackedStart$$1() {\n  var prev = globalState$$1.trackingDerivation;\n  globalState$$1.trackingDerivation = null;\n  return prev;\n}\n\nfunction untrackedEnd$$1(prev) {\n  globalState$$1.trackingDerivation = prev;\n}\n/**\n * needed to keep `lowestObserverState` correct. when changing from (2 or 1) to 0\n *\n */\n\n\nfunction changeDependenciesStateTo0$$1(derivation) {\n  if (derivation.dependenciesState === IDerivationState.UP_TO_DATE) return;\n  derivation.dependenciesState = IDerivationState.UP_TO_DATE;\n  var obs = derivation.observing;\n  var i = obs.length;\n\n  while (i--) {\n    obs[i].lowestObserverState = IDerivationState.UP_TO_DATE;\n  }\n}\n/**\n * These values will persist if global state is reset\n */\n\n\nvar persistentKeys = [\"mobxGuid\", \"spyListeners\", \"enforceActions\", \"computedRequiresReaction\", \"disableErrorBoundaries\", \"runId\", \"UNCHANGED\"];\n\nvar MobXGlobals$$1 =\n/** @class */\nfunction () {\n  function MobXGlobals$$1() {\n    /**\n     * MobXGlobals version.\n     * MobX compatiblity with other versions loaded in memory as long as this version matches.\n     * It indicates that the global state still stores similar information\n     *\n     * N.B: this version is unrelated to the package version of MobX, and is only the version of the\n     * internal state storage of MobX, and can be the same across many different package versions\n     */\n    this.version = 5;\n    /**\n     * globally unique token to signal unchanged\n     */\n\n    this.UNCHANGED = {};\n    /**\n     * Currently running derivation\n     */\n\n    this.trackingDerivation = null;\n    /**\n     * Are we running a computation currently? (not a reaction)\n     */\n\n    this.computationDepth = 0;\n    /**\n     * Each time a derivation is tracked, it is assigned a unique run-id\n     */\n\n    this.runId = 0;\n    /**\n     * 'guid' for general purpose. Will be persisted amongst resets.\n     */\n\n    this.mobxGuid = 0;\n    /**\n     * Are we in a batch block? (and how many of them)\n     */\n\n    this.inBatch = 0;\n    /**\n     * Observables that don't have observers anymore, and are about to be\n     * suspended, unless somebody else accesses it in the same batch\n     *\n     * @type {IObservable[]}\n     */\n\n    this.pendingUnobservations = [];\n    /**\n     * List of scheduled, not yet executed, reactions.\n     */\n\n    this.pendingReactions = [];\n    /**\n     * Are we currently processing reactions?\n     */\n\n    this.isRunningReactions = false;\n    /**\n     * Is it allowed to change observables at this point?\n     * In general, MobX doesn't allow that when running computations and React.render.\n     * To ensure that those functions stay pure.\n     */\n\n    this.allowStateChanges = true;\n    /**\n     * If strict mode is enabled, state changes are by default not allowed\n     */\n\n    this.enforceActions = false;\n    /**\n     * Spy callbacks\n     */\n\n    this.spyListeners = [];\n    /**\n     * Globally attached error handlers that react specifically to errors in reactions\n     */\n\n    this.globalReactionErrorHandlers = [];\n    /**\n     * Warn if computed values are accessed outside a reactive context\n     */\n\n    this.computedRequiresReaction = false;\n    /*\n     * Don't catch and rethrow exceptions. This is useful for inspecting the state of\n     * the stack when an exception occurs while debugging.\n     */\n\n    this.disableErrorBoundaries = false;\n  }\n\n  return MobXGlobals$$1;\n}();\n\nvar canMergeGlobalState = true;\nvar isolateCalled = false;\n\nvar globalState$$1 = function () {\n  var global = getGlobal$$1();\n  if (global.__mobxInstanceCount > 0 && !global.__mobxGlobals) canMergeGlobalState = false;\n  if (global.__mobxGlobals && global.__mobxGlobals.version !== new MobXGlobals$$1().version) canMergeGlobalState = false;\n\n  if (!canMergeGlobalState) {\n    setTimeout(function () {\n      if (!isolateCalled) {\n        fail$$1(\"There are multiple, different versions of MobX active. Make sure MobX is loaded only once or use `configure({ isolateGlobalState: true })`\");\n      }\n    }, 1);\n    return new MobXGlobals$$1();\n  } else if (global.__mobxGlobals) {\n    global.__mobxInstanceCount += 1;\n    if (!global.__mobxGlobals.UNCHANGED) global.__mobxGlobals.UNCHANGED = {}; // make merge backward compatible\n\n    return global.__mobxGlobals;\n  } else {\n    global.__mobxInstanceCount = 1;\n    return global.__mobxGlobals = new MobXGlobals$$1();\n  }\n}();\n\nfunction isolateGlobalState$$1() {\n  if (globalState$$1.pendingReactions.length || globalState$$1.inBatch || globalState$$1.isRunningReactions) fail$$1(\"isolateGlobalState should be called before MobX is running any reactions\");\n  isolateCalled = true;\n\n  if (canMergeGlobalState) {\n    if (--getGlobal$$1().__mobxInstanceCount === 0) getGlobal$$1().__mobxGlobals = undefined;\n    globalState$$1 = new MobXGlobals$$1();\n  }\n}\n\nfunction getGlobalState$$1() {\n  return globalState$$1;\n}\n/**\n * For testing purposes only; this will break the internal state of existing observables,\n * but can be used to get back at a stable state after throwing errors\n */\n\n\nfunction resetGlobalState$$1() {\n  var defaultGlobals = new MobXGlobals$$1();\n\n  for (var key in defaultGlobals) {\n    if (persistentKeys.indexOf(key) === -1) globalState$$1[key] = defaultGlobals[key];\n  }\n\n  globalState$$1.allowStateChanges = !globalState$$1.enforceActions;\n}\n\nfunction getGlobal$$1() {\n  return typeof window !== \"undefined\" ? window : global;\n}\n\nfunction hasObservers$$1(observable$$1) {\n  return observable$$1.observers && observable$$1.observers.size > 0;\n}\n\nfunction getObservers$$1(observable$$1) {\n  return observable$$1.observers;\n} // function invariantObservers(observable: IObservable) {\n//     const list = observable.observers\n//     const map = observable.observersIndexes\n//     const l = list.length\n//     for (let i = 0; i < l; i++) {\n//         const id = list[i].__mapid\n//         if (i) {\n//             invariant(map[id] === i, \"INTERNAL ERROR maps derivation.__mapid to index in list\") // for performance\n//         } else {\n//             invariant(!(id in map), \"INTERNAL ERROR observer on index 0 shouldn't be held in map.\") // for performance\n//         }\n//     }\n//     invariant(\n//         list.length === 0 || Object.keys(map).length === list.length - 1,\n//         \"INTERNAL ERROR there is no junk in map\"\n//     )\n// }\n\n\nfunction addObserver$$1(observable$$1, node) {\n  // invariant(node.dependenciesState !== -1, \"INTERNAL ERROR, can add only dependenciesState !== -1\");\n  // invariant(observable._observers.indexOf(node) === -1, \"INTERNAL ERROR add already added node\");\n  // invariantObservers(observable);\n  observable$$1.observers.add(node);\n  if (observable$$1.lowestObserverState > node.dependenciesState) observable$$1.lowestObserverState = node.dependenciesState; // invariantObservers(observable);\n  // invariant(observable._observers.indexOf(node) !== -1, \"INTERNAL ERROR didn't add node\");\n}\n\nfunction removeObserver$$1(observable$$1, node) {\n  // invariant(globalState.inBatch > 0, \"INTERNAL ERROR, remove should be called only inside batch\");\n  // invariant(observable._observers.indexOf(node) !== -1, \"INTERNAL ERROR remove already removed node\");\n  // invariantObservers(observable);\n  observable$$1.observers.delete(node);\n\n  if (observable$$1.observers.size === 0) {\n    // deleting last observer\n    queueForUnobservation$$1(observable$$1);\n  } // invariantObservers(observable);\n  // invariant(observable._observers.indexOf(node) === -1, \"INTERNAL ERROR remove already removed node2\");\n\n}\n\nfunction queueForUnobservation$$1(observable$$1) {\n  if (observable$$1.isPendingUnobservation === false) {\n    // invariant(observable._observers.length === 0, \"INTERNAL ERROR, should only queue for unobservation unobserved observables\");\n    observable$$1.isPendingUnobservation = true;\n    globalState$$1.pendingUnobservations.push(observable$$1);\n  }\n}\n/**\n * Batch starts a transaction, at least for purposes of memoizing ComputedValues when nothing else does.\n * During a batch `onBecomeUnobserved` will be called at most once per observable.\n * Avoids unnecessary recalculations.\n */\n\n\nfunction startBatch$$1() {\n  globalState$$1.inBatch++;\n}\n\nfunction endBatch$$1() {\n  if (--globalState$$1.inBatch === 0) {\n    runReactions$$1(); // the batch is actually about to finish, all unobserving should happen here.\n\n    var list = globalState$$1.pendingUnobservations;\n\n    for (var i = 0; i < list.length; i++) {\n      var observable$$1 = list[i];\n      observable$$1.isPendingUnobservation = false;\n\n      if (observable$$1.observers.size === 0) {\n        if (observable$$1.isBeingObserved) {\n          // if this observable had reactive observers, trigger the hooks\n          observable$$1.isBeingObserved = false;\n          observable$$1.onBecomeUnobserved();\n        }\n\n        if (observable$$1 instanceof ComputedValue$$1) {\n          // computed values are automatically teared down when the last observer leaves\n          // this process happens recursively, this computed might be the last observabe of another, etc..\n          observable$$1.suspend();\n        }\n      }\n    }\n\n    globalState$$1.pendingUnobservations = [];\n  }\n}\n\nfunction reportObserved$$1(observable$$1) {\n  var derivation = globalState$$1.trackingDerivation;\n\n  if (derivation !== null) {\n    /**\n     * Simple optimization, give each derivation run an unique id (runId)\n     * Check if last time this observable was accessed the same runId is used\n     * if this is the case, the relation is already known\n     */\n    if (derivation.runId !== observable$$1.lastAccessedBy) {\n      observable$$1.lastAccessedBy = derivation.runId; // Tried storing newObserving, or observing, or both as Set, but performance didn't come close...\n\n      derivation.newObserving[derivation.unboundDepsCount++] = observable$$1;\n\n      if (!observable$$1.isBeingObserved) {\n        observable$$1.isBeingObserved = true;\n        observable$$1.onBecomeObserved();\n      }\n    }\n\n    return true;\n  } else if (observable$$1.observers.size === 0 && globalState$$1.inBatch > 0) {\n    queueForUnobservation$$1(observable$$1);\n  }\n\n  return false;\n} // function invariantLOS(observable: IObservable, msg: string) {\n//     // it's expensive so better not run it in produciton. but temporarily helpful for testing\n//     const min = getObservers(observable).reduce((a, b) => Math.min(a, b.dependenciesState), 2)\n//     if (min >= observable.lowestObserverState) return // <- the only assumption about `lowestObserverState`\n//     throw new Error(\n//         \"lowestObserverState is wrong for \" +\n//             msg +\n//             \" because \" +\n//             min +\n//             \" < \" +\n//             observable.lowestObserverState\n//     )\n// }\n\n/**\n * NOTE: current propagation mechanism will in case of self reruning autoruns behave unexpectedly\n * It will propagate changes to observers from previous run\n * It's hard or maybe impossible (with reasonable perf) to get it right with current approach\n * Hopefully self reruning autoruns aren't a feature people should depend on\n * Also most basic use cases should be ok\n */\n// Called by Atom when its value changes\n\n\nfunction propagateChanged$$1(observable$$1) {\n  // invariantLOS(observable, \"changed start\");\n  if (observable$$1.lowestObserverState === IDerivationState.STALE) return;\n  observable$$1.lowestObserverState = IDerivationState.STALE; // Ideally we use for..of here, but the downcompiled version is really slow...\n\n  observable$$1.observers.forEach(function (d) {\n    if (d.dependenciesState === IDerivationState.UP_TO_DATE) {\n      if (d.isTracing !== TraceMode$$1.NONE) {\n        logTraceInfo(d, observable$$1);\n      }\n\n      d.onBecomeStale();\n    }\n\n    d.dependenciesState = IDerivationState.STALE;\n  }); // invariantLOS(observable, \"changed end\");\n} // Called by ComputedValue when it recalculate and its value changed\n\n\nfunction propagateChangeConfirmed$$1(observable$$1) {\n  // invariantLOS(observable, \"confirmed start\");\n  if (observable$$1.lowestObserverState === IDerivationState.STALE) return;\n  observable$$1.lowestObserverState = IDerivationState.STALE;\n  observable$$1.observers.forEach(function (d) {\n    if (d.dependenciesState === IDerivationState.POSSIBLY_STALE) d.dependenciesState = IDerivationState.STALE;else if (d.dependenciesState === IDerivationState.UP_TO_DATE // this happens during computing of `d`, just keep lowestObserverState up to date.\n    ) observable$$1.lowestObserverState = IDerivationState.UP_TO_DATE;\n  }); // invariantLOS(observable, \"confirmed end\");\n} // Used by computed when its dependency changed, but we don't wan't to immediately recompute.\n\n\nfunction propagateMaybeChanged$$1(observable$$1) {\n  // invariantLOS(observable, \"maybe start\");\n  if (observable$$1.lowestObserverState !== IDerivationState.UP_TO_DATE) return;\n  observable$$1.lowestObserverState = IDerivationState.POSSIBLY_STALE;\n  observable$$1.observers.forEach(function (d) {\n    if (d.dependenciesState === IDerivationState.UP_TO_DATE) {\n      d.dependenciesState = IDerivationState.POSSIBLY_STALE;\n\n      if (d.isTracing !== TraceMode$$1.NONE) {\n        logTraceInfo(d, observable$$1);\n      }\n\n      d.onBecomeStale();\n    }\n  }); // invariantLOS(observable, \"maybe end\");\n}\n\nfunction logTraceInfo(derivation, observable$$1) {\n  console.log(\"[mobx.trace] '\" + derivation.name + \"' is invalidated due to a change in: '\" + observable$$1.name + \"'\");\n\n  if (derivation.isTracing === TraceMode$$1.BREAK) {\n    var lines = [];\n    printDepTree(getDependencyTree$$1(derivation), lines, 1); // prettier-ignore\n\n    new Function(\"debugger;\\n/*\\nTracing '\" + derivation.name + \"'\\n\\nYou are entering this break point because derivation '\" + derivation.name + \"' is being traced and '\" + observable$$1.name + \"' is now forcing it to update.\\nJust follow the stacktrace you should now see in the devtools to see precisely what piece of your code is causing this update\\nThe stackframe you are looking for is at least ~6-8 stack-frames up.\\n\\n\" + (derivation instanceof ComputedValue$$1 ? derivation.derivation.toString() : \"\") + \"\\n\\nThe dependencies for this derivation are:\\n\\n\" + lines.join(\"\\n\") + \"\\n*/\\n    \")();\n  }\n}\n\nfunction printDepTree(tree, lines, depth) {\n  if (lines.length >= 1000) {\n    lines.push(\"(and many more)\");\n    return;\n  }\n\n  lines.push(\"\" + new Array(depth).join(\"\\t\") + tree.name); // MWE: not the fastest, but the easiest way :)\n\n  if (tree.dependencies) tree.dependencies.forEach(function (child) {\n    return printDepTree(child, lines, depth + 1);\n  });\n}\n\nvar Reaction$$1 =\n/** @class */\nfunction () {\n  function Reaction$$1(name, onInvalidate, errorHandler) {\n    if (name === void 0) {\n      name = \"Reaction@\" + getNextId$$1();\n    }\n\n    this.name = name;\n    this.onInvalidate = onInvalidate;\n    this.errorHandler = errorHandler;\n    this.observing = []; // nodes we are looking at. Our value depends on these nodes\n\n    this.newObserving = [];\n    this.dependenciesState = IDerivationState.NOT_TRACKING;\n    this.diffValue = 0;\n    this.runId = 0;\n    this.unboundDepsCount = 0;\n    this.__mapid = \"#\" + getNextId$$1();\n    this.isDisposed = false;\n    this._isScheduled = false;\n    this._isTrackPending = false;\n    this._isRunning = false;\n    this.isTracing = TraceMode$$1.NONE;\n  }\n\n  Reaction$$1.prototype.onBecomeStale = function () {\n    this.schedule();\n  };\n\n  Reaction$$1.prototype.schedule = function () {\n    if (!this._isScheduled) {\n      this._isScheduled = true;\n      globalState$$1.pendingReactions.push(this);\n      runReactions$$1();\n    }\n  };\n\n  Reaction$$1.prototype.isScheduled = function () {\n    return this._isScheduled;\n  };\n  /**\n   * internal, use schedule() if you intend to kick off a reaction\n   */\n\n\n  Reaction$$1.prototype.runReaction = function () {\n    if (!this.isDisposed) {\n      startBatch$$1();\n      this._isScheduled = false;\n\n      if (shouldCompute$$1(this)) {\n        this._isTrackPending = true;\n\n        try {\n          this.onInvalidate();\n\n          if (this._isTrackPending && isSpyEnabled$$1() && process.env.NODE_ENV !== \"production\") {\n            // onInvalidate didn't trigger track right away..\n            spyReport$$1({\n              name: this.name,\n              type: \"scheduled-reaction\"\n            });\n          }\n        } catch (e) {\n          this.reportExceptionInDerivation(e);\n        }\n      }\n\n      endBatch$$1();\n    }\n  };\n\n  Reaction$$1.prototype.track = function (fn) {\n    startBatch$$1();\n    var notify = isSpyEnabled$$1();\n    var startTime;\n\n    if (notify && process.env.NODE_ENV !== \"production\") {\n      startTime = Date.now();\n      spyReportStart$$1({\n        name: this.name,\n        type: \"reaction\"\n      });\n    }\n\n    this._isRunning = true;\n    var result = trackDerivedFunction$$1(this, fn, undefined);\n    this._isRunning = false;\n    this._isTrackPending = false;\n\n    if (this.isDisposed) {\n      // disposed during last run. Clean up everything that was bound after the dispose call.\n      clearObserving$$1(this);\n    }\n\n    if (isCaughtException$$1(result)) this.reportExceptionInDerivation(result.cause);\n\n    if (notify && process.env.NODE_ENV !== \"production\") {\n      spyReportEnd$$1({\n        time: Date.now() - startTime\n      });\n    }\n\n    endBatch$$1();\n  };\n\n  Reaction$$1.prototype.reportExceptionInDerivation = function (error) {\n    var _this = this;\n\n    if (this.errorHandler) {\n      this.errorHandler(error, this);\n      return;\n    }\n\n    if (globalState$$1.disableErrorBoundaries) throw error;\n    var message = \"[mobx] Encountered an uncaught exception that was thrown by a reaction or observer component, in: '\" + this;\n    console.error(message, error);\n    /** If debugging brought you here, please, read the above message :-). Tnx! */\n\n    if (isSpyEnabled$$1()) {\n      spyReport$$1({\n        type: \"error\",\n        name: this.name,\n        message: message,\n        error: \"\" + error\n      });\n    }\n\n    globalState$$1.globalReactionErrorHandlers.forEach(function (f) {\n      return f(error, _this);\n    });\n  };\n\n  Reaction$$1.prototype.dispose = function () {\n    if (!this.isDisposed) {\n      this.isDisposed = true;\n\n      if (!this._isRunning) {\n        // if disposed while running, clean up later. Maybe not optimal, but rare case\n        startBatch$$1();\n        clearObserving$$1(this);\n        endBatch$$1();\n      }\n    }\n  };\n\n  Reaction$$1.prototype.getDisposer = function () {\n    var r = this.dispose.bind(this);\n    r[$mobx$$1] = this;\n    return r;\n  };\n\n  Reaction$$1.prototype.toString = function () {\n    return \"Reaction[\" + this.name + \"]\";\n  };\n\n  Reaction$$1.prototype.trace = function (enterBreakPoint) {\n    if (enterBreakPoint === void 0) {\n      enterBreakPoint = false;\n    }\n\n    trace$$1(this, enterBreakPoint);\n  };\n\n  return Reaction$$1;\n}();\n\nfunction onReactionError$$1(handler) {\n  globalState$$1.globalReactionErrorHandlers.push(handler);\n  return function () {\n    var idx = globalState$$1.globalReactionErrorHandlers.indexOf(handler);\n    if (idx >= 0) globalState$$1.globalReactionErrorHandlers.splice(idx, 1);\n  };\n}\n/**\n * Magic number alert!\n * Defines within how many times a reaction is allowed to re-trigger itself\n * until it is assumed that this is gonna be a never ending loop...\n */\n\n\nvar MAX_REACTION_ITERATIONS = 100;\n\nvar reactionScheduler = function reactionScheduler(f) {\n  return f();\n};\n\nfunction runReactions$$1() {\n  // Trampolining, if runReactions are already running, new reactions will be picked up\n  if (globalState$$1.inBatch > 0 || globalState$$1.isRunningReactions) return;\n  reactionScheduler(runReactionsHelper);\n}\n\nfunction runReactionsHelper() {\n  globalState$$1.isRunningReactions = true;\n  var allReactions = globalState$$1.pendingReactions;\n  var iterations = 0; // While running reactions, new reactions might be triggered.\n  // Hence we work with two variables and check whether\n  // we converge to no remaining reactions after a while.\n\n  while (allReactions.length > 0) {\n    if (++iterations === MAX_REACTION_ITERATIONS) {\n      console.error(\"Reaction doesn't converge to a stable state after \" + MAX_REACTION_ITERATIONS + \" iterations.\" + (\" Probably there is a cycle in the reactive function: \" + allReactions[0]));\n      allReactions.splice(0); // clear reactions\n    }\n\n    var remainingReactions = allReactions.splice(0);\n\n    for (var i = 0, l = remainingReactions.length; i < l; i++) {\n      remainingReactions[i].runReaction();\n    }\n  }\n\n  globalState$$1.isRunningReactions = false;\n}\n\nvar isReaction$$1 = createInstanceofPredicate$$1(\"Reaction\", Reaction$$1);\n\nfunction setReactionScheduler$$1(fn) {\n  var baseScheduler = reactionScheduler;\n\n  reactionScheduler = function reactionScheduler(f) {\n    return fn(function () {\n      return baseScheduler(f);\n    });\n  };\n}\n\nfunction isSpyEnabled$$1() {\n  return process.env.NODE_ENV !== \"production\" && !!globalState$$1.spyListeners.length;\n}\n\nfunction spyReport$$1(event) {\n  if (process.env.NODE_ENV === \"production\") return; // dead code elimination can do the rest\n\n  if (!globalState$$1.spyListeners.length) return;\n  var listeners = globalState$$1.spyListeners;\n\n  for (var i = 0, l = listeners.length; i < l; i++) {\n    listeners[i](event);\n  }\n}\n\nfunction spyReportStart$$1(event) {\n  if (process.env.NODE_ENV === \"production\") return;\n\n  var change = __assign({}, event, {\n    spyReportStart: true\n  });\n\n  spyReport$$1(change);\n}\n\nvar END_EVENT = {\n  spyReportEnd: true\n};\n\nfunction spyReportEnd$$1(change) {\n  if (process.env.NODE_ENV === \"production\") return;\n  if (change) spyReport$$1(__assign({}, change, {\n    spyReportEnd: true\n  }));else spyReport$$1(END_EVENT);\n}\n\nfunction spy$$1(listener) {\n  if (process.env.NODE_ENV === \"production\") {\n    console.warn(\"[mobx.spy] Is a no-op in production builds\");\n    return function () {};\n  } else {\n    globalState$$1.spyListeners.push(listener);\n    return once$$1(function () {\n      globalState$$1.spyListeners = globalState$$1.spyListeners.filter(function (l) {\n        return l !== listener;\n      });\n    });\n  }\n}\n\nfunction dontReassignFields() {\n  fail$$1(process.env.NODE_ENV !== \"production\" && \"@action fields are not reassignable\");\n}\n\nfunction namedActionDecorator$$1(name) {\n  return function (target, prop, descriptor) {\n    if (descriptor) {\n      if (process.env.NODE_ENV !== \"production\" && descriptor.get !== undefined) {\n        return fail$$1(\"@action cannot be used with getters\");\n      } // babel / typescript\n      // @action method() { }\n\n\n      if (descriptor.value) {\n        // typescript\n        return {\n          value: createAction$$1(name, descriptor.value),\n          enumerable: false,\n          configurable: true,\n          writable: true // for typescript, this must be writable, otherwise it cannot inherit :/ (see inheritable actions test)\n\n        };\n      } // babel only: @action method = () => {}\n\n\n      var initializer_1 = descriptor.initializer;\n      return {\n        enumerable: false,\n        configurable: true,\n        writable: true,\n        initializer: function initializer() {\n          // N.B: we can't immediately invoke initializer; this would be wrong\n          return createAction$$1(name, initializer_1.call(this));\n        }\n      };\n    } // bound instance methods\n\n\n    return actionFieldDecorator$$1(name).apply(this, arguments);\n  };\n}\n\nfunction actionFieldDecorator$$1(name) {\n  // Simple property that writes on first invocation to the current instance\n  return function (target, prop, descriptor) {\n    Object.defineProperty(target, prop, {\n      configurable: true,\n      enumerable: false,\n      get: function get() {\n        return undefined;\n      },\n      set: function set(value) {\n        addHiddenProp$$1(this, prop, action$$1(name, value));\n      }\n    });\n  };\n}\n\nfunction boundActionDecorator$$1(target, propertyName, descriptor, applyToInstance) {\n  if (applyToInstance === true) {\n    defineBoundAction$$1(target, propertyName, descriptor.value);\n    return null;\n  }\n\n  if (descriptor) {\n    // if (descriptor.value)\n    // Typescript / Babel: @action.bound method() { }\n    // also: babel @action.bound method = () => {}\n    return {\n      configurable: true,\n      enumerable: false,\n      get: function get() {\n        defineBoundAction$$1(this, propertyName, descriptor.value || descriptor.initializer.call(this));\n        return this[propertyName];\n      },\n      set: dontReassignFields\n    };\n  } // field decorator Typescript @action.bound method = () => {}\n\n\n  return {\n    enumerable: false,\n    configurable: true,\n    set: function set(v) {\n      defineBoundAction$$1(this, propertyName, v);\n    },\n    get: function get() {\n      return undefined;\n    }\n  };\n}\n\nvar action$$1 = function action$$1(arg1, arg2, arg3, arg4) {\n  // action(fn() {})\n  if (arguments.length === 1 && typeof arg1 === \"function\") return createAction$$1(arg1.name || \"<unnamed action>\", arg1); // action(\"name\", fn() {})\n\n  if (arguments.length === 2 && typeof arg2 === \"function\") return createAction$$1(arg1, arg2); // @action(\"name\") fn() {}\n\n  if (arguments.length === 1 && typeof arg1 === \"string\") return namedActionDecorator$$1(arg1); // @action fn() {}\n\n  if (arg4 === true) {\n    // apply to instance immediately\n    addHiddenProp$$1(arg1, arg2, createAction$$1(arg1.name || arg2, arg3.value));\n  } else {\n    return namedActionDecorator$$1(arg2).apply(null, arguments);\n  }\n};\n\naction$$1.bound = boundActionDecorator$$1;\n\nfunction runInAction$$1(arg1, arg2) {\n  var actionName = typeof arg1 === \"string\" ? arg1 : arg1.name || \"<unnamed action>\";\n  var fn = typeof arg1 === \"function\" ? arg1 : arg2;\n\n  if (process.env.NODE_ENV !== \"production\") {\n    invariant$$1(typeof fn === \"function\" && fn.length === 0, \"`runInAction` expects a function without arguments\");\n    if (typeof actionName !== \"string\" || !actionName) fail$$1(\"actions should have valid names, got: '\" + actionName + \"'\");\n  }\n\n  return executeAction$$1(actionName, fn, this, undefined);\n}\n\nfunction isAction$$1(thing) {\n  return typeof thing === \"function\" && thing.isMobxAction === true;\n}\n\nfunction defineBoundAction$$1(target, propertyName, fn) {\n  addHiddenProp$$1(target, propertyName, createAction$$1(propertyName, fn.bind(target)));\n}\n/**\n * Creates a named reactive view and keeps it alive, so that the view is always\n * updated if one of the dependencies changes, even when the view is not further used by something else.\n * @param view The reactive view\n * @returns disposer function, which can be used to stop the view from being updated in the future.\n */\n\n\nfunction autorun$$1(view, opts) {\n  if (opts === void 0) {\n    opts = EMPTY_OBJECT$$1;\n  }\n\n  if (process.env.NODE_ENV !== \"production\") {\n    invariant$$1(typeof view === \"function\", \"Autorun expects a function as first argument\");\n    invariant$$1(isAction$$1(view) === false, \"Autorun does not accept actions since actions are untrackable\");\n  }\n\n  var name = opts && opts.name || view.name || \"Autorun@\" + getNextId$$1();\n  var runSync = !opts.scheduler && !opts.delay;\n  var reaction$$1;\n\n  if (runSync) {\n    // normal autorun\n    reaction$$1 = new Reaction$$1(name, function () {\n      this.track(reactionRunner);\n    }, opts.onError);\n  } else {\n    var scheduler_1 = createSchedulerFromOptions(opts); // debounced autorun\n\n    var isScheduled_1 = false;\n    reaction$$1 = new Reaction$$1(name, function () {\n      if (!isScheduled_1) {\n        isScheduled_1 = true;\n        scheduler_1(function () {\n          isScheduled_1 = false;\n          if (!reaction$$1.isDisposed) reaction$$1.track(reactionRunner);\n        });\n      }\n    }, opts.onError);\n  }\n\n  function reactionRunner() {\n    view(reaction$$1);\n  }\n\n  reaction$$1.schedule();\n  return reaction$$1.getDisposer();\n}\n\nvar run = function run(f) {\n  return f();\n};\n\nfunction createSchedulerFromOptions(opts) {\n  return opts.scheduler ? opts.scheduler : opts.delay ? function (f) {\n    return setTimeout(f, opts.delay);\n  } : run;\n}\n\nfunction reaction$$1(expression, effect, opts) {\n  if (opts === void 0) {\n    opts = EMPTY_OBJECT$$1;\n  }\n\n  if (process.env.NODE_ENV !== \"production\") {\n    invariant$$1(typeof expression === \"function\", \"First argument to reaction should be a function\");\n    invariant$$1(typeof opts === \"object\", \"Third argument of reactions should be an object\");\n  }\n\n  var name = opts.name || \"Reaction@\" + getNextId$$1();\n  var effectAction = action$$1(name, opts.onError ? wrapErrorHandler(opts.onError, effect) : effect);\n  var runSync = !opts.scheduler && !opts.delay;\n  var scheduler = createSchedulerFromOptions(opts);\n  var firstTime = true;\n  var isScheduled = false;\n  var value;\n  var equals = opts.compareStructural ? comparer$$1.structural : opts.equals || comparer$$1.default;\n  var r = new Reaction$$1(name, function () {\n    if (firstTime || runSync) {\n      reactionRunner();\n    } else if (!isScheduled) {\n      isScheduled = true;\n      scheduler(reactionRunner);\n    }\n  }, opts.onError);\n\n  function reactionRunner() {\n    isScheduled = false; // Q: move into reaction runner?\n\n    if (r.isDisposed) return;\n    var changed = false;\n    r.track(function () {\n      var nextValue = expression(r);\n      changed = firstTime || !equals(value, nextValue);\n      value = nextValue;\n    });\n    if (firstTime && opts.fireImmediately) effectAction(value, r);\n    if (!firstTime && changed === true) effectAction(value, r);\n    if (firstTime) firstTime = false;\n  }\n\n  r.schedule();\n  return r.getDisposer();\n}\n\nfunction wrapErrorHandler(errorHandler, baseFn) {\n  return function () {\n    try {\n      return baseFn.apply(this, arguments);\n    } catch (e) {\n      errorHandler.call(this, e);\n    }\n  };\n}\n\nfunction onBecomeObserved$$1(thing, arg2, arg3) {\n  return interceptHook(\"onBecomeObserved\", thing, arg2, arg3);\n}\n\nfunction onBecomeUnobserved$$1(thing, arg2, arg3) {\n  return interceptHook(\"onBecomeUnobserved\", thing, arg2, arg3);\n}\n\nfunction interceptHook(hook, thing, arg2, arg3) {\n  var atom = typeof arg2 === \"string\" ? getAtom$$1(thing, arg2) : getAtom$$1(thing);\n  var cb = typeof arg2 === \"string\" ? arg3 : arg2;\n  var listenersKey = hook + \"Listeners\";\n\n  if (atom[listenersKey]) {\n    atom[listenersKey].add(cb);\n  } else {\n    atom[listenersKey] = new Set([cb]);\n  }\n\n  var orig = atom[hook];\n  if (typeof orig !== \"function\") return fail$$1(process.env.NODE_ENV !== \"production\" && \"Not an atom that can be (un)observed\");\n  return function () {\n    var hookListeners = atom[listenersKey];\n\n    if (hookListeners) {\n      hookListeners.delete(cb);\n\n      if (hookListeners.size === 0) {\n        delete atom[listenersKey];\n      }\n    }\n  };\n}\n\nfunction configure$$1(options) {\n  var enforceActions = options.enforceActions,\n      computedRequiresReaction = options.computedRequiresReaction,\n      disableErrorBoundaries = options.disableErrorBoundaries,\n      reactionScheduler = options.reactionScheduler;\n\n  if (enforceActions !== undefined) {\n    if (typeof enforceActions === \"boolean\" || enforceActions === \"strict\") deprecated$$1(\"Deprecated value for 'enforceActions', use 'false' => '\\\"never\\\"', 'true' => '\\\"observed\\\"', '\\\"strict\\\"' => \\\"'always'\\\" instead\");\n    var ea = void 0;\n\n    switch (enforceActions) {\n      case true:\n      case \"observed\":\n        ea = true;\n        break;\n\n      case false:\n      case \"never\":\n        ea = false;\n        break;\n\n      case \"strict\":\n      case \"always\":\n        ea = \"strict\";\n        break;\n\n      default:\n        fail$$1(\"Invalid value for 'enforceActions': '\" + enforceActions + \"', expected 'never', 'always' or 'observed'\");\n    }\n\n    globalState$$1.enforceActions = ea;\n    globalState$$1.allowStateChanges = ea === true || ea === \"strict\" ? false : true;\n  }\n\n  if (computedRequiresReaction !== undefined) {\n    globalState$$1.computedRequiresReaction = !!computedRequiresReaction;\n  }\n\n  if (options.isolateGlobalState === true) {\n    isolateGlobalState$$1();\n  }\n\n  if (disableErrorBoundaries !== undefined) {\n    if (disableErrorBoundaries === true) console.warn(\"WARNING: Debug feature only. MobX will NOT recover from errors when `disableErrorBoundaries` is enabled.\");\n    globalState$$1.disableErrorBoundaries = !!disableErrorBoundaries;\n  }\n\n  if (reactionScheduler) {\n    setReactionScheduler$$1(reactionScheduler);\n  }\n}\n\nfunction decorate$$1(thing, decorators) {\n  process.env.NODE_ENV !== \"production\" && invariant$$1(isPlainObject$$1(decorators), \"Decorators should be a key value map\");\n  var target = typeof thing === \"function\" ? thing.prototype : thing;\n\n  var _loop_1 = function _loop_1(prop) {\n    var propertyDecorators = decorators[prop];\n\n    if (!Array.isArray(propertyDecorators)) {\n      propertyDecorators = [propertyDecorators];\n    }\n\n    process.env.NODE_ENV !== \"production\" && invariant$$1(propertyDecorators.every(function (decorator) {\n      return typeof decorator === \"function\";\n    }), \"Decorate: expected a decorator function or array of decorator functions for '\" + prop + \"'\");\n    var descriptor = Object.getOwnPropertyDescriptor(target, prop);\n    var newDescriptor = propertyDecorators.reduce(function (accDescriptor, decorator) {\n      return decorator(target, prop, accDescriptor);\n    }, descriptor);\n    if (newDescriptor) Object.defineProperty(target, prop, newDescriptor);\n  };\n\n  for (var prop in decorators) {\n    _loop_1(prop);\n  }\n\n  return thing;\n}\n\nfunction extendObservable$$1(target, properties, decorators, options) {\n  if (process.env.NODE_ENV !== \"production\") {\n    invariant$$1(arguments.length >= 2 && arguments.length <= 4, \"'extendObservable' expected 2-4 arguments\");\n    invariant$$1(typeof target === \"object\", \"'extendObservable' expects an object as first argument\");\n    invariant$$1(!isObservableMap$$1(target), \"'extendObservable' should not be used on maps, use map.merge instead\");\n  }\n\n  options = asCreateObservableOptions$$1(options);\n  var defaultDecorator = getDefaultDecoratorFromObjectOptions$$1(options);\n  initializeInstance$$1(target); // Fixes #1740\n\n  asObservableObject$$1(target, options.name, defaultDecorator.enhancer); // make sure object is observable, even without initial props\n\n  if (properties) extendObservableObjectWithProperties$$1(target, properties, decorators, defaultDecorator);\n  return target;\n}\n\nfunction getDefaultDecoratorFromObjectOptions$$1(options) {\n  return options.defaultDecorator || (options.deep === false ? refDecorator$$1 : deepDecorator$$1);\n}\n\nfunction extendObservableObjectWithProperties$$1(target, properties, decorators, defaultDecorator) {\n  if (process.env.NODE_ENV !== \"production\") {\n    invariant$$1(!isObservable$$1(properties), \"Extending an object with another observable (object) is not supported. Please construct an explicit propertymap, using `toJS` if need. See issue #540\");\n    if (decorators) for (var key in decorators) {\n      if (!(key in properties)) fail$$1(\"Trying to declare a decorator for unspecified property '\" + key + \"'\");\n    }\n  }\n\n  startBatch$$1();\n\n  try {\n    for (var key in properties) {\n      var descriptor = Object.getOwnPropertyDescriptor(properties, key);\n\n      if (process.env.NODE_ENV !== \"production\") {\n        if (Object.getOwnPropertyDescriptor(target, key)) fail$$1(\"'extendObservable' can only be used to introduce new properties. Use 'set' or 'decorate' instead. The property '\" + key + \"' already exists on '\" + target + \"'\");\n        if (isComputed$$1(descriptor.value)) fail$$1(\"Passing a 'computed' as initial property value is no longer supported by extendObservable. Use a getter or decorator instead\");\n      }\n\n      var decorator = decorators && key in decorators ? decorators[key] : descriptor.get ? computedDecorator$$1 : defaultDecorator;\n      if (process.env.NODE_ENV !== \"production\" && typeof decorator !== \"function\") fail$$1(\"Not a valid decorator for '\" + key + \"', got: \" + decorator);\n      var resultDescriptor = decorator(target, key, descriptor, true);\n      if (resultDescriptor // otherwise, assume already applied, due to `applyToInstance`\n      ) Object.defineProperty(target, key, resultDescriptor);\n    }\n  } finally {\n    endBatch$$1();\n  }\n}\n\nfunction getDependencyTree$$1(thing, property) {\n  return nodeToDependencyTree(getAtom$$1(thing, property));\n}\n\nfunction nodeToDependencyTree(node) {\n  var result = {\n    name: node.name\n  };\n  if (node.observing && node.observing.length > 0) result.dependencies = unique$$1(node.observing).map(nodeToDependencyTree);\n  return result;\n}\n\nfunction getObserverTree$$1(thing, property) {\n  return nodeToObserverTree(getAtom$$1(thing, property));\n}\n\nfunction nodeToObserverTree(node) {\n  var result = {\n    name: node.name\n  };\n  if (hasObservers$$1(node)) result.observers = Array.from(getObservers$$1(node)).map(nodeToObserverTree);\n  return result;\n}\n\nvar generatorId = 0;\n\nfunction flow$$1(generator) {\n  if (arguments.length !== 1) fail$$1(process.env.NODE_ENV && \"Flow expects one 1 argument and cannot be used as decorator\");\n  var name = generator.name || \"<unnamed flow>\"; // Implementation based on https://github.com/tj/co/blob/master/index.js\n\n  return function () {\n    var ctx = this;\n    var args = arguments;\n    var runId = ++generatorId;\n    var gen = action$$1(name + \" - runid: \" + runId + \" - init\", generator).apply(ctx, args);\n    var rejector;\n    var pendingPromise = undefined;\n    var res = new Promise(function (resolve, reject) {\n      var stepId = 0;\n      rejector = reject;\n\n      function onFulfilled(res) {\n        pendingPromise = undefined;\n        var ret;\n\n        try {\n          ret = action$$1(name + \" - runid: \" + runId + \" - yield \" + stepId++, gen.next).call(gen, res);\n        } catch (e) {\n          return reject(e);\n        }\n\n        next(ret);\n      }\n\n      function onRejected(err) {\n        pendingPromise = undefined;\n        var ret;\n\n        try {\n          ret = action$$1(name + \" - runid: \" + runId + \" - yield \" + stepId++, gen.throw).call(gen, err);\n        } catch (e) {\n          return reject(e);\n        }\n\n        next(ret);\n      }\n\n      function next(ret) {\n        if (ret && typeof ret.then === \"function\") {\n          // an async iterator\n          ret.then(next, reject);\n          return;\n        }\n\n        if (ret.done) return resolve(ret.value);\n        pendingPromise = Promise.resolve(ret.value);\n        return pendingPromise.then(onFulfilled, onRejected);\n      }\n\n      onFulfilled(undefined); // kick off the process\n    });\n    res.cancel = action$$1(name + \" - runid: \" + runId + \" - cancel\", function () {\n      try {\n        if (pendingPromise) cancelPromise(pendingPromise); // Finally block can return (or yield) stuff..\n\n        var res_1 = gen.return(); // eat anything that promise would do, it's cancelled!\n\n        var yieldedPromise = Promise.resolve(res_1.value);\n        yieldedPromise.then(noop$$1, noop$$1);\n        cancelPromise(yieldedPromise); // maybe it can be cancelled :)\n        // reject our original promise\n\n        rejector(new Error(\"FLOW_CANCELLED\"));\n      } catch (e) {\n        rejector(e); // there could be a throwing finally block\n      }\n    });\n    return res;\n  };\n}\n\nfunction cancelPromise(promise) {\n  if (typeof promise.cancel === \"function\") promise.cancel();\n}\n\nfunction interceptReads$$1(thing, propOrHandler, handler) {\n  var target;\n\n  if (isObservableMap$$1(thing) || isObservableArray$$1(thing) || isObservableValue$$1(thing)) {\n    target = getAdministration$$1(thing);\n  } else if (isObservableObject$$1(thing)) {\n    if (typeof propOrHandler !== \"string\") return fail$$1(process.env.NODE_ENV !== \"production\" && \"InterceptReads can only be used with a specific property, not with an object in general\");\n    target = getAdministration$$1(thing, propOrHandler);\n  } else {\n    return fail$$1(process.env.NODE_ENV !== \"production\" && \"Expected observable map, object or array as first array\");\n  }\n\n  if (target.dehancer !== undefined) return fail$$1(process.env.NODE_ENV !== \"production\" && \"An intercept reader was already established\");\n  target.dehancer = typeof propOrHandler === \"function\" ? propOrHandler : handler;\n  return function () {\n    target.dehancer = undefined;\n  };\n}\n\nfunction intercept$$1(thing, propOrHandler, handler) {\n  if (typeof handler === \"function\") return interceptProperty(thing, propOrHandler, handler);else return interceptInterceptable(thing, propOrHandler);\n}\n\nfunction interceptInterceptable(thing, handler) {\n  return getAdministration$$1(thing).intercept(handler);\n}\n\nfunction interceptProperty(thing, property, handler) {\n  return getAdministration$$1(thing, property).intercept(handler);\n}\n\nfunction _isComputed$$1(value, property) {\n  if (value === null || value === undefined) return false;\n\n  if (property !== undefined) {\n    if (isObservableObject$$1(value) === false) return false;\n    if (!value[$mobx$$1].values.has(property)) return false;\n    var atom = getAtom$$1(value, property);\n    return isComputedValue$$1(atom);\n  }\n\n  return isComputedValue$$1(value);\n}\n\nfunction isComputed$$1(value) {\n  if (arguments.length > 1) return fail$$1(process.env.NODE_ENV !== \"production\" && \"isComputed expects only 1 argument. Use isObservableProp to inspect the observability of a property\");\n  return _isComputed$$1(value);\n}\n\nfunction isComputedProp$$1(value, propName) {\n  if (typeof propName !== \"string\") return fail$$1(process.env.NODE_ENV !== \"production\" && \"isComputed expected a property name as second argument\");\n  return _isComputed$$1(value, propName);\n}\n\nfunction _isObservable(value, property) {\n  if (value === null || value === undefined) return false;\n\n  if (property !== undefined) {\n    if (process.env.NODE_ENV !== \"production\" && (isObservableMap$$1(value) || isObservableArray$$1(value))) return fail$$1(\"isObservable(object, propertyName) is not supported for arrays and maps. Use map.has or array.length instead.\");\n\n    if (isObservableObject$$1(value)) {\n      return value[$mobx$$1].values.has(property);\n    }\n\n    return false;\n  } // For first check, see #701\n\n\n  return isObservableObject$$1(value) || !!value[$mobx$$1] || isAtom$$1(value) || isReaction$$1(value) || isComputedValue$$1(value);\n}\n\nfunction isObservable$$1(value) {\n  if (arguments.length !== 1) fail$$1(process.env.NODE_ENV !== \"production\" && \"isObservable expects only 1 argument. Use isObservableProp to inspect the observability of a property\");\n  return _isObservable(value);\n}\n\nfunction isObservableProp$$1(value, propName) {\n  if (typeof propName !== \"string\") return fail$$1(process.env.NODE_ENV !== \"production\" && \"expected a property name as second argument\");\n  return _isObservable(value, propName);\n}\n\nfunction keys$$1(obj) {\n  if (isObservableObject$$1(obj)) {\n    return obj[$mobx$$1].getKeys();\n  }\n\n  if (isObservableMap$$1(obj)) {\n    return Array.from(obj.keys());\n  }\n\n  if (isObservableArray$$1(obj)) {\n    return obj.map(function (_, index) {\n      return index;\n    });\n  }\n\n  return fail$$1(process.env.NODE_ENV !== \"production\" && \"'keys()' can only be used on observable objects, arrays and maps\");\n}\n\nfunction values$$1(obj) {\n  if (isObservableObject$$1(obj)) {\n    return keys$$1(obj).map(function (key) {\n      return obj[key];\n    });\n  }\n\n  if (isObservableMap$$1(obj)) {\n    return keys$$1(obj).map(function (key) {\n      return obj.get(key);\n    });\n  }\n\n  if (isObservableArray$$1(obj)) {\n    return obj.slice();\n  }\n\n  return fail$$1(process.env.NODE_ENV !== \"production\" && \"'values()' can only be used on observable objects, arrays and maps\");\n}\n\nfunction entries$$1(obj) {\n  if (isObservableObject$$1(obj)) {\n    return keys$$1(obj).map(function (key) {\n      return [key, obj[key]];\n    });\n  }\n\n  if (isObservableMap$$1(obj)) {\n    return keys$$1(obj).map(function (key) {\n      return [key, obj.get(key)];\n    });\n  }\n\n  if (isObservableArray$$1(obj)) {\n    return obj.map(function (key, index) {\n      return [index, key];\n    });\n  }\n\n  return fail$$1(process.env.NODE_ENV !== \"production\" && \"'entries()' can only be used on observable objects, arrays and maps\");\n}\n\nfunction set$$1(obj, key, value) {\n  if (arguments.length === 2) {\n    startBatch$$1();\n    var values_1 = key;\n\n    try {\n      for (var key_1 in values_1) {\n        set$$1(obj, key_1, values_1[key_1]);\n      }\n    } finally {\n      endBatch$$1();\n    }\n\n    return;\n  }\n\n  if (isObservableObject$$1(obj)) {\n    var adm = obj[$mobx$$1];\n    var existingObservable = adm.values.get(key);\n\n    if (existingObservable) {\n      adm.write(key, value);\n    } else {\n      adm.addObservableProp(key, value, adm.defaultEnhancer);\n    }\n  } else if (isObservableMap$$1(obj)) {\n    obj.set(key, value);\n  } else if (isObservableArray$$1(obj)) {\n    if (typeof key !== \"number\") key = parseInt(key, 10);\n    invariant$$1(key >= 0, \"Not a valid index: '\" + key + \"'\");\n    startBatch$$1();\n    if (key >= obj.length) obj.length = key + 1;\n    obj[key] = value;\n    endBatch$$1();\n  } else {\n    return fail$$1(process.env.NODE_ENV !== \"production\" && \"'set()' can only be used on observable objects, arrays and maps\");\n  }\n}\n\nfunction remove$$1(obj, key) {\n  if (isObservableObject$$1(obj)) {\n    obj[$mobx$$1].remove(key);\n  } else if (isObservableMap$$1(obj)) {\n    obj.delete(key);\n  } else if (isObservableArray$$1(obj)) {\n    if (typeof key !== \"number\") key = parseInt(key, 10);\n    invariant$$1(key >= 0, \"Not a valid index: '\" + key + \"'\");\n    obj.splice(key, 1);\n  } else {\n    return fail$$1(process.env.NODE_ENV !== \"production\" && \"'remove()' can only be used on observable objects, arrays and maps\");\n  }\n}\n\nfunction has$$1(obj, key) {\n  if (isObservableObject$$1(obj)) {\n    // return keys(obj).indexOf(key) >= 0\n    var adm = getAdministration$$1(obj);\n    return adm.has(key);\n  } else if (isObservableMap$$1(obj)) {\n    return obj.has(key);\n  } else if (isObservableArray$$1(obj)) {\n    return key >= 0 && key < obj.length;\n  } else {\n    return fail$$1(process.env.NODE_ENV !== \"production\" && \"'has()' can only be used on observable objects, arrays and maps\");\n  }\n}\n\nfunction get$$1(obj, key) {\n  if (!has$$1(obj, key)) return undefined;\n\n  if (isObservableObject$$1(obj)) {\n    return obj[key];\n  } else if (isObservableMap$$1(obj)) {\n    return obj.get(key);\n  } else if (isObservableArray$$1(obj)) {\n    return obj[key];\n  } else {\n    return fail$$1(process.env.NODE_ENV !== \"production\" && \"'get()' can only be used on observable objects, arrays and maps\");\n  }\n}\n\nfunction observe$$1(thing, propOrCb, cbOrFire, fireImmediately) {\n  if (typeof cbOrFire === \"function\") return observeObservableProperty(thing, propOrCb, cbOrFire, fireImmediately);else return observeObservable(thing, propOrCb, cbOrFire);\n}\n\nfunction observeObservable(thing, listener, fireImmediately) {\n  return getAdministration$$1(thing).observe(listener, fireImmediately);\n}\n\nfunction observeObservableProperty(thing, property, listener, fireImmediately) {\n  return getAdministration$$1(thing, property).observe(listener, fireImmediately);\n}\n\nvar defaultOptions = {\n  detectCycles: true,\n  exportMapsAsObjects: true,\n  recurseEverything: false\n};\n\nfunction cache(map, key, value, options) {\n  if (options.detectCycles) map.set(key, value);\n  return value;\n}\n\nfunction toJSHelper(source, options, __alreadySeen) {\n  if (!options.recurseEverything && !isObservable$$1(source)) return source;\n  if (typeof source !== \"object\") return source; // Directly return null if source is null\n\n  if (source === null) return null; // Directly return the Date object itself if contained in the observable\n\n  if (source instanceof Date) return source;\n  if (isObservableValue$$1(source)) return toJSHelper(source.get(), options, __alreadySeen); // make sure we track the keys of the object\n\n  if (isObservable$$1(source)) keys$$1(source);\n  var detectCycles = options.detectCycles === true;\n\n  if (detectCycles && source !== null && __alreadySeen.has(source)) {\n    return __alreadySeen.get(source);\n  }\n\n  if (isObservableArray$$1(source) || Array.isArray(source)) {\n    var res_1 = cache(__alreadySeen, source, [], options);\n    var toAdd = source.map(function (value) {\n      return toJSHelper(value, options, __alreadySeen);\n    });\n    res_1.length = toAdd.length;\n\n    for (var i = 0, l = toAdd.length; i < l; i++) {\n      res_1[i] = toAdd[i];\n    }\n\n    return res_1;\n  }\n\n  if (isObservableMap$$1(source) || Object.getPrototypeOf(source) === Map.prototype) {\n    if (options.exportMapsAsObjects === false) {\n      var res_2 = cache(__alreadySeen, source, new Map(), options);\n      source.forEach(function (value, key) {\n        res_2.set(key, toJSHelper(value, options, __alreadySeen));\n      });\n      return res_2;\n    } else {\n      var res_3 = cache(__alreadySeen, source, {}, options);\n      source.forEach(function (value, key) {\n        res_3[key] = toJSHelper(value, options, __alreadySeen);\n      });\n      return res_3;\n    }\n  } // Fallback to the situation that source is an ObservableObject or a plain object\n\n\n  var res = cache(__alreadySeen, source, {}, options);\n\n  for (var key in source) {\n    res[key] = toJSHelper(source[key], options, __alreadySeen);\n  }\n\n  return res;\n}\n\nfunction toJS$$1(source, options) {\n  // backward compatibility\n  if (typeof options === \"boolean\") options = {\n    detectCycles: options\n  };\n  if (!options) options = defaultOptions;\n  options.detectCycles = options.detectCycles === undefined ? options.recurseEverything === true : options.detectCycles === true;\n\n  var __alreadySeen;\n\n  if (options.detectCycles) __alreadySeen = new Map();\n  return toJSHelper(source, options, __alreadySeen);\n}\n\nfunction trace$$1() {\n  var args = [];\n\n  for (var _i = 0; _i < arguments.length; _i++) {\n    args[_i] = arguments[_i];\n  }\n\n  var enterBreakPoint = false;\n  if (typeof args[args.length - 1] === \"boolean\") enterBreakPoint = args.pop();\n  var derivation = getAtomFromArgs(args);\n\n  if (!derivation) {\n    return fail$$1(process.env.NODE_ENV !== \"production\" && \"'trace(break?)' can only be used inside a tracked computed value or a Reaction. Consider passing in the computed value or reaction explicitly\");\n  }\n\n  if (derivation.isTracing === TraceMode$$1.NONE) {\n    console.log(\"[mobx.trace] '\" + derivation.name + \"' tracing enabled\");\n  }\n\n  derivation.isTracing = enterBreakPoint ? TraceMode$$1.BREAK : TraceMode$$1.LOG;\n}\n\nfunction getAtomFromArgs(args) {\n  switch (args.length) {\n    case 0:\n      return globalState$$1.trackingDerivation;\n\n    case 1:\n      return getAtom$$1(args[0]);\n\n    case 2:\n      return getAtom$$1(args[0], args[1]);\n  }\n}\n/**\n * During a transaction no views are updated until the end of the transaction.\n * The transaction will be run synchronously nonetheless.\n *\n * @param action a function that updates some reactive state\n * @returns any value that was returned by the 'action' parameter.\n */\n\n\nfunction transaction$$1(action$$1, thisArg) {\n  if (thisArg === void 0) {\n    thisArg = undefined;\n  }\n\n  startBatch$$1();\n\n  try {\n    return action$$1.apply(thisArg);\n  } finally {\n    endBatch$$1();\n  }\n}\n\nfunction when$$1(predicate, arg1, arg2) {\n  if (arguments.length === 1 || arg1 && typeof arg1 === \"object\") return whenPromise(predicate, arg1);\n  return _when(predicate, arg1, arg2 || {});\n}\n\nfunction _when(predicate, effect, opts) {\n  var timeoutHandle;\n\n  if (typeof opts.timeout === \"number\") {\n    timeoutHandle = setTimeout(function () {\n      if (!disposer[$mobx$$1].isDisposed) {\n        disposer();\n        var error = new Error(\"WHEN_TIMEOUT\");\n        if (opts.onError) opts.onError(error);else throw error;\n      }\n    }, opts.timeout);\n  }\n\n  opts.name = opts.name || \"When@\" + getNextId$$1();\n  var effectAction = createAction$$1(opts.name + \"-effect\", effect);\n  var disposer = autorun$$1(function (r) {\n    if (predicate()) {\n      r.dispose();\n      if (timeoutHandle) clearTimeout(timeoutHandle);\n      effectAction();\n    }\n  }, opts);\n  return disposer;\n}\n\nfunction whenPromise(predicate, opts) {\n  if (process.env.NODE_ENV !== \"production\" && opts && opts.onError) return fail$$1(\"the options 'onError' and 'promise' cannot be combined\");\n  var cancel;\n  var res = new Promise(function (resolve, reject) {\n    var disposer = _when(predicate, resolve, __assign({}, opts, {\n      onError: reject\n    }));\n\n    cancel = function cancel() {\n      disposer();\n      reject(\"WHEN_CANCELLED\");\n    };\n  });\n  res.cancel = cancel;\n  return res;\n}\n\nfunction getAdm(target) {\n  return target[$mobx$$1];\n} // Optimization: we don't need the intermediate objects and could have a completely custom administration for DynamicObjects,\n// and skip either the internal values map, or the base object with its property descriptors!\n\n\nvar objectProxyTraps = {\n  has: function has(target, name) {\n    if (name === $mobx$$1 || name === \"constructor\" || name === mobxDidRunLazyInitializersSymbol$$1) return true;\n    var adm = getAdm(target); // MWE: should `in` operator be reactive? If not, below code path will be faster / more memory efficient\n    // TODO: check performance stats!\n    // if (adm.values.get(name as string)) return true\n\n    if (typeof name === \"string\") return adm.has(name);\n    return name in target;\n  },\n  get: function get(target, name) {\n    if (name === $mobx$$1 || name === \"constructor\" || name === mobxDidRunLazyInitializersSymbol$$1) return target[name];\n    var adm = getAdm(target);\n    var observable$$1 = adm.values.get(name);\n\n    if (observable$$1 instanceof Atom$$1) {\n      var result = observable$$1.get();\n\n      if (result === undefined) {\n        // This fixes #1796, because deleting a prop that has an\n        // undefined value won't retrigger a observer (no visible effect),\n        // the autorun wouldn't subscribe to future key changes (see also next comment)\n        adm.has(name);\n      }\n\n      return result;\n    } // make sure we start listening to future keys\n    // note that we only do this here for optimization\n\n\n    if (typeof name === \"string\") adm.has(name);\n    return target[name];\n  },\n  set: function set(target, name, value) {\n    if (typeof name !== \"string\") return false;\n    set$$1(target, name, value);\n    return true;\n  },\n  deleteProperty: function deleteProperty(target, name) {\n    if (typeof name !== \"string\") return false;\n    var adm = getAdm(target);\n    adm.remove(name);\n    return true;\n  },\n  ownKeys: function ownKeys(target) {\n    var adm = getAdm(target);\n    adm.keysAtom.reportObserved();\n    return Reflect.ownKeys(target);\n  },\n  preventExtensions: function preventExtensions(target) {\n    fail$$1(\"Dynamic observable objects cannot be frozen\");\n    return false;\n  }\n};\n\nfunction createDynamicObservableObject$$1(base) {\n  var proxy = new Proxy(base, objectProxyTraps);\n  base[$mobx$$1].proxy = proxy;\n  return proxy;\n}\n\nfunction hasInterceptors$$1(interceptable) {\n  return interceptable.interceptors !== undefined && interceptable.interceptors.length > 0;\n}\n\nfunction registerInterceptor$$1(interceptable, handler) {\n  var interceptors = interceptable.interceptors || (interceptable.interceptors = []);\n  interceptors.push(handler);\n  return once$$1(function () {\n    var idx = interceptors.indexOf(handler);\n    if (idx !== -1) interceptors.splice(idx, 1);\n  });\n}\n\nfunction interceptChange$$1(interceptable, change) {\n  var prevU = untrackedStart$$1();\n\n  try {\n    var interceptors = interceptable.interceptors;\n    if (interceptors) for (var i = 0, l = interceptors.length; i < l; i++) {\n      change = interceptors[i](change);\n      invariant$$1(!change || change.type, \"Intercept handlers should return nothing or a change object\");\n      if (!change) break;\n    }\n    return change;\n  } finally {\n    untrackedEnd$$1(prevU);\n  }\n}\n\nfunction hasListeners$$1(listenable) {\n  return listenable.changeListeners !== undefined && listenable.changeListeners.length > 0;\n}\n\nfunction registerListener$$1(listenable, handler) {\n  var listeners = listenable.changeListeners || (listenable.changeListeners = []);\n  listeners.push(handler);\n  return once$$1(function () {\n    var idx = listeners.indexOf(handler);\n    if (idx !== -1) listeners.splice(idx, 1);\n  });\n}\n\nfunction notifyListeners$$1(listenable, change) {\n  var prevU = untrackedStart$$1();\n  var listeners = listenable.changeListeners;\n  if (!listeners) return;\n  listeners = listeners.slice();\n\n  for (var i = 0, l = listeners.length; i < l; i++) {\n    listeners[i](change);\n  }\n\n  untrackedEnd$$1(prevU);\n}\n\nvar MAX_SPLICE_SIZE = 10000; // See e.g. https://github.com/mobxjs/mobx/issues/859\n\nvar arrayTraps = {\n  get: function get(target, name) {\n    if (name === $mobx$$1) return target[$mobx$$1];\n    if (name === \"length\") return target[$mobx$$1].getArrayLength();\n\n    if (typeof name === \"number\") {\n      return arrayExtensions.get.call(target, name);\n    }\n\n    if (typeof name === \"string\" && !isNaN(name)) {\n      return arrayExtensions.get.call(target, parseInt(name));\n    }\n\n    if (arrayExtensions.hasOwnProperty(name)) {\n      return arrayExtensions[name];\n    }\n\n    return target[name];\n  },\n  set: function set(target, name, value) {\n    if (name === \"length\") {\n      target[$mobx$$1].setArrayLength(value);\n      return true;\n    }\n\n    if (typeof name === \"number\") {\n      arrayExtensions.set.call(target, name, value);\n      return true;\n    }\n\n    if (!isNaN(name)) {\n      arrayExtensions.set.call(target, parseInt(name), value);\n      return true;\n    }\n\n    return false;\n  },\n  preventExtensions: function preventExtensions(target) {\n    fail$$1(\"Observable arrays cannot be frozen\");\n    return false;\n  }\n};\n\nfunction createObservableArray$$1(initialValues, enhancer, name, owned) {\n  if (name === void 0) {\n    name = \"ObservableArray@\" + getNextId$$1();\n  }\n\n  if (owned === void 0) {\n    owned = false;\n  }\n\n  var adm = new ObservableArrayAdministration(name, enhancer, owned);\n  addHiddenFinalProp$$1(adm.values, $mobx$$1, adm);\n  var proxy = new Proxy(adm.values, arrayTraps);\n  adm.proxy = proxy;\n\n  if (initialValues && initialValues.length) {\n    var prev = allowStateChangesStart$$1(true);\n    adm.spliceWithArray(0, 0, initialValues);\n    allowStateChangesEnd$$1(prev);\n  }\n\n  return proxy;\n}\n\nvar ObservableArrayAdministration =\n/** @class */\nfunction () {\n  function ObservableArrayAdministration(name, enhancer, owned) {\n    this.owned = owned;\n    this.values = [];\n    this.proxy = undefined;\n    this.lastKnownLength = 0;\n    this.atom = new Atom$$1(name || \"ObservableArray@\" + getNextId$$1());\n\n    this.enhancer = function (newV, oldV) {\n      return enhancer(newV, oldV, name + \"[..]\");\n    };\n  }\n\n  ObservableArrayAdministration.prototype.dehanceValue = function (value) {\n    if (this.dehancer !== undefined) return this.dehancer(value);\n    return value;\n  };\n\n  ObservableArrayAdministration.prototype.dehanceValues = function (values$$1) {\n    if (this.dehancer !== undefined && values$$1.length > 0) return values$$1.map(this.dehancer);\n    return values$$1;\n  };\n\n  ObservableArrayAdministration.prototype.intercept = function (handler) {\n    return registerInterceptor$$1(this, handler);\n  };\n\n  ObservableArrayAdministration.prototype.observe = function (listener, fireImmediately) {\n    if (fireImmediately === void 0) {\n      fireImmediately = false;\n    }\n\n    if (fireImmediately) {\n      listener({\n        object: this.proxy,\n        type: \"splice\",\n        index: 0,\n        added: this.values.slice(),\n        addedCount: this.values.length,\n        removed: [],\n        removedCount: 0\n      });\n    }\n\n    return registerListener$$1(this, listener);\n  };\n\n  ObservableArrayAdministration.prototype.getArrayLength = function () {\n    this.atom.reportObserved();\n    return this.values.length;\n  };\n\n  ObservableArrayAdministration.prototype.setArrayLength = function (newLength) {\n    if (typeof newLength !== \"number\" || newLength < 0) throw new Error(\"[mobx.array] Out of range: \" + newLength);\n    var currentLength = this.values.length;\n    if (newLength === currentLength) return;else if (newLength > currentLength) {\n      var newItems = new Array(newLength - currentLength);\n\n      for (var i = 0; i < newLength - currentLength; i++) {\n        newItems[i] = undefined;\n      } // No Array.fill everywhere...\n\n\n      this.spliceWithArray(currentLength, 0, newItems);\n    } else this.spliceWithArray(newLength, currentLength - newLength);\n  };\n\n  ObservableArrayAdministration.prototype.updateArrayLength = function (oldLength, delta) {\n    if (oldLength !== this.lastKnownLength) throw new Error(\"[mobx] Modification exception: the internal structure of an observable array was changed.\");\n    this.lastKnownLength += delta;\n  };\n\n  ObservableArrayAdministration.prototype.spliceWithArray = function (index, deleteCount, newItems) {\n    var _this = this;\n\n    checkIfStateModificationsAreAllowed$$1(this.atom);\n    var length = this.values.length;\n    if (index === undefined) index = 0;else if (index > length) index = length;else if (index < 0) index = Math.max(0, length + index);\n    if (arguments.length === 1) deleteCount = length - index;else if (deleteCount === undefined || deleteCount === null) deleteCount = 0;else deleteCount = Math.max(0, Math.min(deleteCount, length - index));\n    if (newItems === undefined) newItems = EMPTY_ARRAY$$1;\n\n    if (hasInterceptors$$1(this)) {\n      var change = interceptChange$$1(this, {\n        object: this.proxy,\n        type: \"splice\",\n        index: index,\n        removedCount: deleteCount,\n        added: newItems\n      });\n      if (!change) return EMPTY_ARRAY$$1;\n      deleteCount = change.removedCount;\n      newItems = change.added;\n    }\n\n    newItems = newItems.length === 0 ? newItems : newItems.map(function (v) {\n      return _this.enhancer(v, undefined);\n    });\n\n    if (process.env.NODE_ENV !== \"production\") {\n      var lengthDelta = newItems.length - deleteCount;\n      this.updateArrayLength(length, lengthDelta); // checks if internal array wasn't modified\n    }\n\n    var res = this.spliceItemsIntoValues(index, deleteCount, newItems);\n    if (deleteCount !== 0 || newItems.length !== 0) this.notifyArraySplice(index, newItems, res);\n    return this.dehanceValues(res);\n  };\n\n  ObservableArrayAdministration.prototype.spliceItemsIntoValues = function (index, deleteCount, newItems) {\n    var _a;\n\n    if (newItems.length < MAX_SPLICE_SIZE) {\n      return (_a = this.values).splice.apply(_a, __spread([index, deleteCount], newItems));\n    } else {\n      var res = this.values.slice(index, index + deleteCount);\n      this.values = this.values.slice(0, index).concat(newItems, this.values.slice(index + deleteCount));\n      return res;\n    }\n  };\n\n  ObservableArrayAdministration.prototype.notifyArrayChildUpdate = function (index, newValue, oldValue) {\n    var notifySpy = !this.owned && isSpyEnabled$$1();\n    var notify = hasListeners$$1(this);\n    var change = notify || notifySpy ? {\n      object: this.proxy,\n      type: \"update\",\n      index: index,\n      newValue: newValue,\n      oldValue: oldValue\n    } : null; // The reason why this is on right hand side here (and not above), is this way the uglifier will drop it, but it won't\n    // cause any runtime overhead in development mode without NODE_ENV set, unless spying is enabled\n\n    if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportStart$$1(__assign({}, change, {\n      name: this.atom.name\n    }));\n    this.atom.reportChanged();\n    if (notify) notifyListeners$$1(this, change);\n    if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportEnd$$1();\n  };\n\n  ObservableArrayAdministration.prototype.notifyArraySplice = function (index, added, removed) {\n    var notifySpy = !this.owned && isSpyEnabled$$1();\n    var notify = hasListeners$$1(this);\n    var change = notify || notifySpy ? {\n      object: this.proxy,\n      type: \"splice\",\n      index: index,\n      removed: removed,\n      added: added,\n      removedCount: removed.length,\n      addedCount: added.length\n    } : null;\n    if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportStart$$1(__assign({}, change, {\n      name: this.atom.name\n    }));\n    this.atom.reportChanged(); // conform: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/observe\n\n    if (notify) notifyListeners$$1(this, change);\n    if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportEnd$$1();\n  };\n\n  return ObservableArrayAdministration;\n}();\n\nvar arrayExtensions = {\n  intercept: function intercept(handler) {\n    return this[$mobx$$1].intercept(handler);\n  },\n  observe: function observe(listener, fireImmediately) {\n    if (fireImmediately === void 0) {\n      fireImmediately = false;\n    }\n\n    var adm = this[$mobx$$1];\n    return adm.observe(listener, fireImmediately);\n  },\n  clear: function clear() {\n    return this.splice(0);\n  },\n  replace: function replace(newItems) {\n    var adm = this[$mobx$$1];\n    return adm.spliceWithArray(0, adm.values.length, newItems);\n  },\n\n  /**\n   * Converts this array back to a (shallow) javascript structure.\n   * For a deep clone use mobx.toJS\n   */\n  toJS: function toJS() {\n    return this.slice();\n  },\n  toJSON: function toJSON() {\n    // Used by JSON.stringify\n    return this.toJS();\n  },\n\n  /*\n   * functions that do alter the internal structure of the array, (based on lib.es6.d.ts)\n   * since these functions alter the inner structure of the array, the have side effects.\n   * Because the have side effects, they should not be used in computed function,\n   * and for that reason the do not call dependencyState.notifyObserved\n   */\n  splice: function splice(index, deleteCount) {\n    var newItems = [];\n\n    for (var _i = 2; _i < arguments.length; _i++) {\n      newItems[_i - 2] = arguments[_i];\n    }\n\n    var adm = this[$mobx$$1];\n\n    switch (arguments.length) {\n      case 0:\n        return [];\n\n      case 1:\n        return adm.spliceWithArray(index);\n\n      case 2:\n        return adm.spliceWithArray(index, deleteCount);\n    }\n\n    return adm.spliceWithArray(index, deleteCount, newItems);\n  },\n  spliceWithArray: function spliceWithArray(index, deleteCount, newItems) {\n    var adm = this[$mobx$$1];\n    return adm.spliceWithArray(index, deleteCount, newItems);\n  },\n  push: function push() {\n    var items = [];\n\n    for (var _i = 0; _i < arguments.length; _i++) {\n      items[_i] = arguments[_i];\n    }\n\n    var adm = this[$mobx$$1];\n    adm.spliceWithArray(adm.values.length, 0, items);\n    return adm.values.length;\n  },\n  pop: function pop() {\n    return this.splice(Math.max(this[$mobx$$1].values.length - 1, 0), 1)[0];\n  },\n  shift: function shift() {\n    return this.splice(0, 1)[0];\n  },\n  unshift: function unshift() {\n    var items = [];\n\n    for (var _i = 0; _i < arguments.length; _i++) {\n      items[_i] = arguments[_i];\n    }\n\n    var adm = this[$mobx$$1];\n    adm.spliceWithArray(0, 0, items);\n    return adm.values.length;\n  },\n  reverse: function reverse() {\n    // reverse by default mutates in place before returning the result\n    // which makes it both a 'derivation' and a 'mutation'.\n    // so we deviate from the default and just make it an dervitation\n    if (process.env.NODE_ENV !== \"production\") {\n      console.warn(\"[mobx] `observableArray.reverse()` will not update the array in place. Use `observableArray.slice().reverse()` to supress this warning and perform the operation on a copy, or `observableArray.replace(observableArray.slice().reverse())` to reverse & update in place\");\n    }\n\n    var clone = this.slice();\n    return clone.reverse.apply(clone, arguments);\n  },\n  sort: function sort(compareFn) {\n    // sort by default mutates in place before returning the result\n    // which goes against all good practices. Let's not change the array in place!\n    if (process.env.NODE_ENV !== \"production\") {\n      console.warn(\"[mobx] `observableArray.sort()` will not update the array in place. Use `observableArray.slice().sort()` to supress this warning and perform the operation on a copy, or `observableArray.replace(observableArray.slice().sort())` to sort & update in place\");\n    }\n\n    var clone = this.slice();\n    return clone.sort.apply(clone, arguments);\n  },\n  remove: function remove(value) {\n    var adm = this[$mobx$$1];\n    var idx = adm.dehanceValues(adm.values).indexOf(value);\n\n    if (idx > -1) {\n      this.splice(idx, 1);\n      return true;\n    }\n\n    return false;\n  },\n  get: function get(index) {\n    var adm = this[$mobx$$1];\n\n    if (adm) {\n      if (index < adm.values.length) {\n        adm.atom.reportObserved();\n        return adm.dehanceValue(adm.values[index]);\n      }\n\n      console.warn(\"[mobx.array] Attempt to read an array index (\" + index + \") that is out of bounds (\" + adm.values.length + \"). Please check length first. Out of bound indices will not be tracked by MobX\");\n    }\n\n    return undefined;\n  },\n  set: function set(index, newValue) {\n    var adm = this[$mobx$$1];\n    var values$$1 = adm.values;\n\n    if (index < values$$1.length) {\n      // update at index in range\n      checkIfStateModificationsAreAllowed$$1(adm.atom);\n      var oldValue = values$$1[index];\n\n      if (hasInterceptors$$1(adm)) {\n        var change = interceptChange$$1(adm, {\n          type: \"update\",\n          object: this,\n          index: index,\n          newValue: newValue\n        });\n        if (!change) return;\n        newValue = change.newValue;\n      }\n\n      newValue = adm.enhancer(newValue, oldValue);\n      var changed = newValue !== oldValue;\n\n      if (changed) {\n        values$$1[index] = newValue;\n        adm.notifyArrayChildUpdate(index, newValue, oldValue);\n      }\n    } else if (index === values$$1.length) {\n      // add a new item\n      adm.spliceWithArray(index, 0, [newValue]);\n    } else {\n      // out of bounds\n      throw new Error(\"[mobx.array] Index out of bounds, \" + index + \" is larger than \" + values$$1.length);\n    }\n  }\n};\n[\"concat\", \"every\", \"filter\", \"forEach\", \"indexOf\", \"join\", \"lastIndexOf\", \"map\", \"reduce\", \"reduceRight\", \"slice\", \"some\", \"toString\", \"toLocaleString\"].forEach(function (funcName) {\n  arrayExtensions[funcName] = function () {\n    var adm = this[$mobx$$1];\n    adm.atom.reportObserved();\n    var res = adm.dehanceValues(adm.values);\n    return res[funcName].apply(res, arguments);\n  };\n});\nvar isObservableArrayAdministration = createInstanceofPredicate$$1(\"ObservableArrayAdministration\", ObservableArrayAdministration);\n\nfunction isObservableArray$$1(thing) {\n  return isObject$$1(thing) && isObservableArrayAdministration(thing[$mobx$$1]);\n}\n\nvar _a;\n\nvar ObservableMapMarker = {}; // just extend Map? See also https://gist.github.com/nestharus/13b4d74f2ef4a2f4357dbd3fc23c1e54\n// But: https://github.com/mobxjs/mobx/issues/1556\n\nvar ObservableMap$$1 =\n/** @class */\nfunction () {\n  function ObservableMap$$1(initialData, enhancer, name) {\n    if (enhancer === void 0) {\n      enhancer = deepEnhancer$$1;\n    }\n\n    if (name === void 0) {\n      name = \"ObservableMap@\" + getNextId$$1();\n    }\n\n    this.enhancer = enhancer;\n    this.name = name;\n    this[_a] = ObservableMapMarker;\n    this._keysAtom = createAtom$$1(this.name + \".keys()\");\n    this[Symbol.toStringTag] = \"Map\";\n\n    if (typeof Map !== \"function\") {\n      throw new Error(\"mobx.map requires Map polyfill for the current browser. Check babel-polyfill or core-js/es6/map.js\");\n    }\n\n    this._data = new Map();\n    this._hasMap = new Map();\n    this.merge(initialData);\n  }\n\n  ObservableMap$$1.prototype._has = function (key) {\n    return this._data.has(key);\n  };\n\n  ObservableMap$$1.prototype.has = function (key) {\n    if (this._hasMap.has(key)) return this._hasMap.get(key).get();\n    return this._updateHasMapEntry(key, false).get();\n  };\n\n  ObservableMap$$1.prototype.set = function (key, value) {\n    var hasKey = this._has(key);\n\n    if (hasInterceptors$$1(this)) {\n      var change = interceptChange$$1(this, {\n        type: hasKey ? \"update\" : \"add\",\n        object: this,\n        newValue: value,\n        name: key\n      });\n      if (!change) return this;\n      value = change.newValue;\n    }\n\n    if (hasKey) {\n      this._updateValue(key, value);\n    } else {\n      this._addValue(key, value);\n    }\n\n    return this;\n  };\n\n  ObservableMap$$1.prototype.delete = function (key) {\n    var _this = this;\n\n    if (hasInterceptors$$1(this)) {\n      var change = interceptChange$$1(this, {\n        type: \"delete\",\n        object: this,\n        name: key\n      });\n      if (!change) return false;\n    }\n\n    if (this._has(key)) {\n      var notifySpy = isSpyEnabled$$1();\n      var notify = hasListeners$$1(this);\n      var change = notify || notifySpy ? {\n        type: \"delete\",\n        object: this,\n        oldValue: this._data.get(key).value,\n        name: key\n      } : null;\n      if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportStart$$1(__assign({}, change, {\n        name: this.name,\n        key: key\n      }));\n      transaction$$1(function () {\n        _this._keysAtom.reportChanged();\n\n        _this._updateHasMapEntry(key, false);\n\n        var observable$$1 = _this._data.get(key);\n\n        observable$$1.setNewValue(undefined);\n\n        _this._data.delete(key);\n      });\n      if (notify) notifyListeners$$1(this, change);\n      if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportEnd$$1();\n      return true;\n    }\n\n    return false;\n  };\n\n  ObservableMap$$1.prototype._updateHasMapEntry = function (key, value) {\n    // optimization; don't fill the hasMap if we are not observing, or remove entry if there are no observers anymore\n    var entry = this._hasMap.get(key);\n\n    if (entry) {\n      entry.setNewValue(value);\n    } else {\n      entry = new ObservableValue$$1(value, referenceEnhancer$$1, this.name + \".\" + key + \"?\", false);\n\n      this._hasMap.set(key, entry);\n    }\n\n    return entry;\n  };\n\n  ObservableMap$$1.prototype._updateValue = function (key, newValue) {\n    var observable$$1 = this._data.get(key);\n\n    newValue = observable$$1.prepareNewValue(newValue);\n\n    if (newValue !== globalState$$1.UNCHANGED) {\n      var notifySpy = isSpyEnabled$$1();\n      var notify = hasListeners$$1(this);\n      var change = notify || notifySpy ? {\n        type: \"update\",\n        object: this,\n        oldValue: observable$$1.value,\n        name: key,\n        newValue: newValue\n      } : null;\n      if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportStart$$1(__assign({}, change, {\n        name: this.name,\n        key: key\n      }));\n      observable$$1.setNewValue(newValue);\n      if (notify) notifyListeners$$1(this, change);\n      if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportEnd$$1();\n    }\n  };\n\n  ObservableMap$$1.prototype._addValue = function (key, newValue) {\n    var _this = this;\n\n    checkIfStateModificationsAreAllowed$$1(this._keysAtom);\n    transaction$$1(function () {\n      var observable$$1 = new ObservableValue$$1(newValue, _this.enhancer, _this.name + \".\" + key, false);\n\n      _this._data.set(key, observable$$1);\n\n      newValue = observable$$1.value; // value might have been changed\n\n      _this._updateHasMapEntry(key, true);\n\n      _this._keysAtom.reportChanged();\n    });\n    var notifySpy = isSpyEnabled$$1();\n    var notify = hasListeners$$1(this);\n    var change = notify || notifySpy ? {\n      type: \"add\",\n      object: this,\n      name: key,\n      newValue: newValue\n    } : null;\n    if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportStart$$1(__assign({}, change, {\n      name: this.name,\n      key: key\n    }));\n    if (notify) notifyListeners$$1(this, change);\n    if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportEnd$$1();\n  };\n\n  ObservableMap$$1.prototype.get = function (key) {\n    if (this.has(key)) return this.dehanceValue(this._data.get(key).get());\n    return this.dehanceValue(undefined);\n  };\n\n  ObservableMap$$1.prototype.dehanceValue = function (value) {\n    if (this.dehancer !== undefined) {\n      return this.dehancer(value);\n    }\n\n    return value;\n  };\n\n  ObservableMap$$1.prototype.keys = function () {\n    this._keysAtom.reportObserved();\n\n    return this._data.keys();\n  };\n\n  ObservableMap$$1.prototype.values = function () {\n    var self = this;\n    var nextIndex = 0;\n    var keys$$1 = Array.from(this.keys());\n    return makeIterable({\n      next: function next() {\n        return nextIndex < keys$$1.length ? {\n          value: self.get(keys$$1[nextIndex++]),\n          done: false\n        } : {\n          done: true\n        };\n      }\n    });\n  };\n\n  ObservableMap$$1.prototype.entries = function () {\n    var self = this;\n    var nextIndex = 0;\n    var keys$$1 = Array.from(this.keys());\n    return makeIterable({\n      next: function next() {\n        if (nextIndex < keys$$1.length) {\n          var key = keys$$1[nextIndex++];\n          return {\n            value: [key, self.get(key)],\n            done: false\n          };\n        }\n\n        return {\n          done: true\n        };\n      }\n    });\n  };\n\n  ObservableMap$$1.prototype[(_a = $mobx$$1, Symbol.iterator)] = function () {\n    return this.entries();\n  };\n\n  ObservableMap$$1.prototype.forEach = function (callback, thisArg) {\n    var e_1, _a;\n\n    try {\n      for (var _b = __values(this), _c = _b.next(); !_c.done; _c = _b.next()) {\n        var _d = __read(_c.value, 2),\n            key = _d[0],\n            value = _d[1];\n\n        callback.call(thisArg, value, key, this);\n      }\n    } catch (e_1_1) {\n      e_1 = {\n        error: e_1_1\n      };\n    } finally {\n      try {\n        if (_c && !_c.done && (_a = _b.return)) _a.call(_b);\n      } finally {\n        if (e_1) throw e_1.error;\n      }\n    }\n  };\n  /** Merge another object into this object, returns this. */\n\n\n  ObservableMap$$1.prototype.merge = function (other) {\n    var _this = this;\n\n    if (isObservableMap$$1(other)) {\n      other = other.toJS();\n    }\n\n    transaction$$1(function () {\n      if (isPlainObject$$1(other)) Object.keys(other).forEach(function (key) {\n        return _this.set(key, other[key]);\n      });else if (Array.isArray(other)) other.forEach(function (_a) {\n        var _b = __read(_a, 2),\n            key = _b[0],\n            value = _b[1];\n\n        return _this.set(key, value);\n      });else if (isES6Map$$1(other)) other.forEach(function (value, key) {\n        return _this.set(key, value);\n      });else if (other !== null && other !== undefined) fail$$1(\"Cannot initialize map from \" + other);\n    });\n    return this;\n  };\n\n  ObservableMap$$1.prototype.clear = function () {\n    var _this = this;\n\n    transaction$$1(function () {\n      untracked$$1(function () {\n        var e_2, _a;\n\n        try {\n          for (var _b = __values(_this.keys()), _c = _b.next(); !_c.done; _c = _b.next()) {\n            var key = _c.value;\n\n            _this.delete(key);\n          }\n        } catch (e_2_1) {\n          e_2 = {\n            error: e_2_1\n          };\n        } finally {\n          try {\n            if (_c && !_c.done && (_a = _b.return)) _a.call(_b);\n          } finally {\n            if (e_2) throw e_2.error;\n          }\n        }\n      });\n    });\n  };\n\n  ObservableMap$$1.prototype.replace = function (values$$1) {\n    var _this = this;\n\n    transaction$$1(function () {\n      // grab all the keys that are present in the new map but not present in the current map\n      // and delete them from the map, then merge the new map\n      // this will cause reactions only on changed values\n      var newKeys = getMapLikeKeys$$1(values$$1);\n      var oldKeys = Array.from(_this.keys());\n      var missingKeys = oldKeys.filter(function (k) {\n        return newKeys.indexOf(k) === -1;\n      });\n      missingKeys.forEach(function (k) {\n        return _this.delete(k);\n      });\n\n      _this.merge(values$$1);\n    });\n    return this;\n  };\n\n  Object.defineProperty(ObservableMap$$1.prototype, \"size\", {\n    get: function get() {\n      this._keysAtom.reportObserved();\n\n      return this._data.size;\n    },\n    enumerable: true,\n    configurable: true\n  });\n  /**\n   * Returns a plain object that represents this map.\n   * Note that all the keys being stringified.\n   * If there are duplicating keys after converting them to strings, behaviour is undetermined.\n   */\n\n  ObservableMap$$1.prototype.toPOJO = function () {\n    var e_3, _a;\n\n    var res = {};\n\n    try {\n      for (var _b = __values(this), _c = _b.next(); !_c.done; _c = _b.next()) {\n        var _d = __read(_c.value, 2),\n            key = _d[0],\n            value = _d[1];\n\n        res[\"\" + key] = value;\n      }\n    } catch (e_3_1) {\n      e_3 = {\n        error: e_3_1\n      };\n    } finally {\n      try {\n        if (_c && !_c.done && (_a = _b.return)) _a.call(_b);\n      } finally {\n        if (e_3) throw e_3.error;\n      }\n    }\n\n    return res;\n  };\n  /**\n   * Returns a shallow non observable object clone of this map.\n   * Note that the values migth still be observable. For a deep clone use mobx.toJS.\n   */\n\n\n  ObservableMap$$1.prototype.toJS = function () {\n    return new Map(this);\n  };\n\n  ObservableMap$$1.prototype.toJSON = function () {\n    // Used by JSON.stringify\n    return this.toPOJO();\n  };\n\n  ObservableMap$$1.prototype.toString = function () {\n    var _this = this;\n\n    return this.name + \"[{ \" + Array.from(this.keys()).map(function (key) {\n      return key + \": \" + (\"\" + _this.get(key));\n    }).join(\", \") + \" }]\";\n  };\n  /**\n   * Observes this object. Triggers for the events 'add', 'update' and 'delete'.\n   * See: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Object/observe\n   * for callback details\n   */\n\n\n  ObservableMap$$1.prototype.observe = function (listener, fireImmediately) {\n    process.env.NODE_ENV !== \"production\" && invariant$$1(fireImmediately !== true, \"`observe` doesn't support fireImmediately=true in combination with maps.\");\n    return registerListener$$1(this, listener);\n  };\n\n  ObservableMap$$1.prototype.intercept = function (handler) {\n    return registerInterceptor$$1(this, handler);\n  };\n\n  return ObservableMap$$1;\n}();\n/* 'var' fixes small-build issue */\n\n\nvar isObservableMap$$1 = createInstanceofPredicate$$1(\"ObservableMap\", ObservableMap$$1);\n\nvar ObservableObjectAdministration$$1 =\n/** @class */\nfunction () {\n  function ObservableObjectAdministration$$1(target, values$$1, name, defaultEnhancer) {\n    if (values$$1 === void 0) {\n      values$$1 = new Map();\n    }\n\n    this.target = target;\n    this.values = values$$1;\n    this.name = name;\n    this.defaultEnhancer = defaultEnhancer;\n    this.keysAtom = new Atom$$1(name + \".keys\");\n  }\n\n  ObservableObjectAdministration$$1.prototype.read = function (key) {\n    return this.values.get(key).get();\n  };\n\n  ObservableObjectAdministration$$1.prototype.write = function (key, newValue) {\n    var instance = this.target;\n    var observable$$1 = this.values.get(key);\n\n    if (observable$$1 instanceof ComputedValue$$1) {\n      observable$$1.set(newValue);\n      return;\n    } // intercept\n\n\n    if (hasInterceptors$$1(this)) {\n      var change = interceptChange$$1(this, {\n        type: \"update\",\n        object: this.proxy || instance,\n        name: key,\n        newValue: newValue\n      });\n      if (!change) return;\n      newValue = change.newValue;\n    }\n\n    newValue = observable$$1.prepareNewValue(newValue); // notify spy & observers\n\n    if (newValue !== globalState$$1.UNCHANGED) {\n      var notify = hasListeners$$1(this);\n      var notifySpy = isSpyEnabled$$1();\n      var change = notify || notifySpy ? {\n        type: \"update\",\n        object: this.proxy || instance,\n        oldValue: observable$$1.value,\n        name: key,\n        newValue: newValue\n      } : null;\n      if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportStart$$1(__assign({}, change, {\n        name: this.name,\n        key: key\n      }));\n      observable$$1.setNewValue(newValue);\n      if (notify) notifyListeners$$1(this, change);\n      if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportEnd$$1();\n    }\n  };\n\n  ObservableObjectAdministration$$1.prototype.has = function (key) {\n    var map = this.pendingKeys || (this.pendingKeys = new Map());\n    var entry = map.get(key);\n    if (entry) return entry.get();else {\n      var exists = !!this.values.get(key); // Possible optimization: Don't have a separate map for non existing keys,\n      // but store them in the values map instead, using a special symbol to denote \"not existing\"\n\n      entry = new ObservableValue$$1(exists, referenceEnhancer$$1, this.name + \".\" + key.toString() + \"?\", false);\n      map.set(key, entry);\n      return entry.get(); // read to subscribe\n    }\n  };\n\n  ObservableObjectAdministration$$1.prototype.addObservableProp = function (propName, newValue, enhancer) {\n    if (enhancer === void 0) {\n      enhancer = this.defaultEnhancer;\n    }\n\n    var target = this.target;\n    assertPropertyConfigurable$$1(target, propName);\n\n    if (hasInterceptors$$1(this)) {\n      var change = interceptChange$$1(this, {\n        object: this.proxy || target,\n        name: propName,\n        type: \"add\",\n        newValue: newValue\n      });\n      if (!change) return;\n      newValue = change.newValue;\n    }\n\n    var observable$$1 = new ObservableValue$$1(newValue, enhancer, this.name + \".\" + propName, false);\n    this.values.set(propName, observable$$1);\n    newValue = observable$$1.value; // observableValue might have changed it\n\n    Object.defineProperty(target, propName, generateObservablePropConfig$$1(propName));\n    this.notifyPropertyAddition(propName, newValue);\n  };\n\n  ObservableObjectAdministration$$1.prototype.addComputedProp = function (propertyOwner, // where is the property declared?\n  propName, options) {\n    var target = this.target;\n    options.name = options.name || this.name + \".\" + propName;\n    this.values.set(propName, new ComputedValue$$1(options));\n    if (propertyOwner === target || isPropertyConfigurable$$1(propertyOwner, propName)) Object.defineProperty(propertyOwner, propName, generateComputedPropConfig$$1(propName));\n  };\n\n  ObservableObjectAdministration$$1.prototype.remove = function (key) {\n    if (!this.values.has(key)) return;\n    var target = this.target;\n\n    if (hasInterceptors$$1(this)) {\n      var change = interceptChange$$1(this, {\n        object: this.proxy || target,\n        name: key,\n        type: \"remove\"\n      });\n      if (!change) return;\n    }\n\n    try {\n      startBatch$$1();\n      var notify = hasListeners$$1(this);\n      var notifySpy = isSpyEnabled$$1();\n      var oldObservable = this.values.get(key);\n      var oldValue = oldObservable && oldObservable.get();\n      oldObservable && oldObservable.set(undefined); // notify key and keyset listeners\n\n      this.keysAtom.reportChanged();\n      this.values.delete(key);\n\n      if (this.pendingKeys) {\n        var entry = this.pendingKeys.get(key);\n        if (entry) entry.set(false);\n      } // delete the prop\n\n\n      delete this.target[key];\n      var change = notify || notifySpy ? {\n        type: \"remove\",\n        object: this.proxy || target,\n        oldValue: oldValue,\n        name: key\n      } : null;\n      if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportStart$$1(__assign({}, change, {\n        name: this.name,\n        key: key\n      }));\n      if (notify) notifyListeners$$1(this, change);\n      if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportEnd$$1();\n    } finally {\n      endBatch$$1();\n    }\n  };\n\n  ObservableObjectAdministration$$1.prototype.illegalAccess = function (owner, propName) {\n    /**\n     * This happens if a property is accessed through the prototype chain, but the property was\n     * declared directly as own property on the prototype.\n     *\n     * E.g.:\n     * class A {\n     * }\n     * extendObservable(A.prototype, { x: 1 })\n     *\n     * classB extens A {\n     * }\n     * console.log(new B().x)\n     *\n     * It is unclear whether the property should be considered 'static' or inherited.\n     * Either use `console.log(A.x)`\n     * or: decorate(A, { x: observable })\n     *\n     * When using decorate, the property will always be redeclared as own property on the actual instance\n     */\n    console.warn(\"Property '\" + propName + \"' of '\" + owner + \"' was accessed through the prototype chain. Use 'decorate' instead to declare the prop or access it statically through it's owner\");\n  };\n  /**\n   * Observes this object. Triggers for the events 'add', 'update' and 'delete'.\n   * See: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Object/observe\n   * for callback details\n   */\n\n\n  ObservableObjectAdministration$$1.prototype.observe = function (callback, fireImmediately) {\n    process.env.NODE_ENV !== \"production\" && invariant$$1(fireImmediately !== true, \"`observe` doesn't support the fire immediately property for observable objects.\");\n    return registerListener$$1(this, callback);\n  };\n\n  ObservableObjectAdministration$$1.prototype.intercept = function (handler) {\n    return registerInterceptor$$1(this, handler);\n  };\n\n  ObservableObjectAdministration$$1.prototype.notifyPropertyAddition = function (key, newValue) {\n    var notify = hasListeners$$1(this);\n    var notifySpy = isSpyEnabled$$1();\n    var change = notify || notifySpy ? {\n      type: \"add\",\n      object: this.proxy || this.target,\n      name: key,\n      newValue: newValue\n    } : null;\n    if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportStart$$1(__assign({}, change, {\n      name: this.name,\n      key: key\n    }));\n    if (notify) notifyListeners$$1(this, change);\n    if (notifySpy && process.env.NODE_ENV !== \"production\") spyReportEnd$$1();\n\n    if (this.pendingKeys) {\n      var entry = this.pendingKeys.get(key);\n      if (entry) entry.set(true);\n    }\n\n    this.keysAtom.reportChanged();\n  };\n\n  ObservableObjectAdministration$$1.prototype.getKeys = function () {\n    var e_1, _a;\n\n    this.keysAtom.reportObserved(); // return Reflect.ownKeys(this.values) as any\n\n    var res = [];\n\n    try {\n      for (var _b = __values(this.values), _c = _b.next(); !_c.done; _c = _b.next()) {\n        var _d = __read(_c.value, 2),\n            key = _d[0],\n            value = _d[1];\n\n        if (value instanceof ObservableValue$$1) res.push(key);\n      }\n    } catch (e_1_1) {\n      e_1 = {\n        error: e_1_1\n      };\n    } finally {\n      try {\n        if (_c && !_c.done && (_a = _b.return)) _a.call(_b);\n      } finally {\n        if (e_1) throw e_1.error;\n      }\n    }\n\n    return res;\n  };\n\n  return ObservableObjectAdministration$$1;\n}();\n\nfunction asObservableObject$$1(target, name, defaultEnhancer) {\n  if (name === void 0) {\n    name = \"\";\n  }\n\n  if (defaultEnhancer === void 0) {\n    defaultEnhancer = deepEnhancer$$1;\n  }\n\n  if (Object.prototype.hasOwnProperty.call(target, $mobx$$1)) return target[$mobx$$1];\n  process.env.NODE_ENV !== \"production\" && invariant$$1(Object.isExtensible(target), \"Cannot make the designated object observable; it is not extensible\");\n  if (!isPlainObject$$1(target)) name = (target.constructor.name || \"ObservableObject\") + \"@\" + getNextId$$1();\n  if (!name) name = \"ObservableObject@\" + getNextId$$1();\n  var adm = new ObservableObjectAdministration$$1(target, new Map(), name, defaultEnhancer);\n  addHiddenProp$$1(target, $mobx$$1, adm);\n  return adm;\n}\n\nvar observablePropertyConfigs = Object.create(null);\nvar computedPropertyConfigs = Object.create(null);\n\nfunction generateObservablePropConfig$$1(propName) {\n  return observablePropertyConfigs[propName] || (observablePropertyConfigs[propName] = {\n    configurable: true,\n    enumerable: true,\n    get: function get() {\n      return this[$mobx$$1].read(propName);\n    },\n    set: function set(v) {\n      this[$mobx$$1].write(propName, v);\n    }\n  });\n}\n\nfunction getAdministrationForComputedPropOwner(owner) {\n  var adm = owner[$mobx$$1];\n\n  if (!adm) {\n    // because computed props are declared on proty,\n    // the current instance might not have been initialized yet\n    initializeInstance$$1(owner);\n    return owner[$mobx$$1];\n  }\n\n  return adm;\n}\n\nfunction generateComputedPropConfig$$1(propName) {\n  return computedPropertyConfigs[propName] || (computedPropertyConfigs[propName] = {\n    configurable: true,\n    enumerable: false,\n    get: function get() {\n      return getAdministrationForComputedPropOwner(this).read(propName);\n    },\n    set: function set(v) {\n      getAdministrationForComputedPropOwner(this).write(propName, v);\n    }\n  });\n}\n\nvar isObservableObjectAdministration = createInstanceofPredicate$$1(\"ObservableObjectAdministration\", ObservableObjectAdministration$$1);\n\nfunction isObservableObject$$1(thing) {\n  if (isObject$$1(thing)) {\n    // Initializers run lazily when transpiling to babel, so make sure they are run...\n    initializeInstance$$1(thing);\n    return isObservableObjectAdministration(thing[$mobx$$1]);\n  }\n\n  return false;\n}\n\nfunction getAtom$$1(thing, property) {\n  if (typeof thing === \"object\" && thing !== null) {\n    if (isObservableArray$$1(thing)) {\n      if (property !== undefined) fail$$1(process.env.NODE_ENV !== \"production\" && \"It is not possible to get index atoms from arrays\");\n      return thing[$mobx$$1].atom;\n    }\n\n    if (isObservableMap$$1(thing)) {\n      var anyThing = thing;\n      if (property === undefined) return anyThing._keysAtom;\n\n      var observable$$1 = anyThing._data.get(property) || anyThing._hasMap.get(property);\n\n      if (!observable$$1) fail$$1(process.env.NODE_ENV !== \"production\" && \"the entry '\" + property + \"' does not exist in the observable map '\" + getDebugName$$1(thing) + \"'\");\n      return observable$$1;\n    } // Initializers run lazily when transpiling to babel, so make sure they are run...\n\n\n    initializeInstance$$1(thing);\n    if (property && !thing[$mobx$$1]) thing[property]; // See #1072\n\n    if (isObservableObject$$1(thing)) {\n      if (!property) return fail$$1(process.env.NODE_ENV !== \"production\" && \"please specify a property\");\n      var observable$$1 = thing[$mobx$$1].values.get(property);\n      if (!observable$$1) fail$$1(process.env.NODE_ENV !== \"production\" && \"no observable property '\" + property + \"' found on the observable object '\" + getDebugName$$1(thing) + \"'\");\n      return observable$$1;\n    }\n\n    if (isAtom$$1(thing) || isComputedValue$$1(thing) || isReaction$$1(thing)) {\n      return thing;\n    }\n  } else if (typeof thing === \"function\") {\n    if (isReaction$$1(thing[$mobx$$1])) {\n      // disposer function\n      return thing[$mobx$$1];\n    }\n  }\n\n  return fail$$1(process.env.NODE_ENV !== \"production\" && \"Cannot obtain atom from \" + thing);\n}\n\nfunction getAdministration$$1(thing, property) {\n  if (!thing) fail$$1(\"Expecting some object\");\n  if (property !== undefined) return getAdministration$$1(getAtom$$1(thing, property));\n  if (isAtom$$1(thing) || isComputedValue$$1(thing) || isReaction$$1(thing)) return thing;\n  if (isObservableMap$$1(thing)) return thing; // Initializers run lazily when transpiling to babel, so make sure they are run...\n\n  initializeInstance$$1(thing);\n  if (thing[$mobx$$1]) return thing[$mobx$$1];\n  fail$$1(process.env.NODE_ENV !== \"production\" && \"Cannot obtain administration from \" + thing);\n}\n\nfunction getDebugName$$1(thing, property) {\n  var named;\n  if (property !== undefined) named = getAtom$$1(thing, property);else if (isObservableObject$$1(thing) || isObservableMap$$1(thing)) named = getAdministration$$1(thing);else named = getAtom$$1(thing); // valid for arrays as well\n\n  return named.name;\n}\n\nvar toString = Object.prototype.toString;\n\nfunction deepEqual$$1(a, b) {\n  return eq(a, b);\n} // Copied from https://github.com/jashkenas/underscore/blob/5c237a7c682fb68fd5378203f0bf22dce1624854/underscore.js#L1186-L1289\n// Internal recursive comparison function for `isEqual`.\n\n\nfunction eq(a, b, aStack, bStack) {\n  // Identical objects are equal. `0 === -0`, but they aren't identical.\n  // See the [Harmony `egal` proposal](http://wiki.ecmascript.org/doku.php?id=harmony:egal).\n  if (a === b) return a !== 0 || 1 / a === 1 / b; // `null` or `undefined` only equal to itself (strict comparison).\n\n  if (a == null || b == null) return false; // `NaN`s are equivalent, but non-reflexive.\n\n  if (a !== a) return b !== b; // Exhaust primitive checks\n\n  var type = typeof a;\n  if (type !== \"function\" && type !== \"object\" && typeof b != \"object\") return false;\n  return deepEq(a, b, aStack, bStack);\n} // Internal recursive comparison function for `isEqual`.\n\n\nfunction deepEq(a, b, aStack, bStack) {\n  // Unwrap any wrapped objects.\n  a = unwrap(a);\n  b = unwrap(b); // Compare `[[Class]]` names.\n\n  var className = toString.call(a);\n  if (className !== toString.call(b)) return false;\n\n  switch (className) {\n    // Strings, numbers, regular expressions, dates, and booleans are compared by value.\n    case \"[object RegExp]\": // RegExps are coerced to strings for comparison (Note: '' + /a/i === '/a/i')\n\n    case \"[object String]\":\n      // Primitives and their corresponding object wrappers are equivalent; thus, `\"5\"` is\n      // equivalent to `new String(\"5\")`.\n      return \"\" + a === \"\" + b;\n\n    case \"[object Number]\":\n      // `NaN`s are equivalent, but non-reflexive.\n      // Object(NaN) is equivalent to NaN.\n      if (+a !== +a) return +b !== +b; // An `egal` comparison is performed for other numeric values.\n\n      return +a === 0 ? 1 / +a === 1 / b : +a === +b;\n\n    case \"[object Date]\":\n    case \"[object Boolean]\":\n      // Coerce dates and booleans to numeric primitive values. Dates are compared by their\n      // millisecond representations. Note that invalid dates with millisecond representations\n      // of `NaN` are not equivalent.\n      return +a === +b;\n\n    case \"[object Symbol]\":\n      return typeof Symbol !== \"undefined\" && Symbol.valueOf.call(a) === Symbol.valueOf.call(b);\n  }\n\n  var areArrays = className === \"[object Array]\";\n\n  if (!areArrays) {\n    if (typeof a != \"object\" || typeof b != \"object\") return false; // Objects with different constructors are not equivalent, but `Object`s or `Array`s\n    // from different frames are.\n\n    var aCtor = a.constructor,\n        bCtor = b.constructor;\n\n    if (aCtor !== bCtor && !(typeof aCtor === \"function\" && aCtor instanceof aCtor && typeof bCtor === \"function\" && bCtor instanceof bCtor) && \"constructor\" in a && \"constructor\" in b) {\n      return false;\n    }\n  } // Assume equality for cyclic structures. The algorithm for detecting cyclic\n  // structures is adapted from ES 5.1 section 15.12.3, abstract operation `JO`.\n  // Initializing stack of traversed objects.\n  // It's done here since we only need them for objects and arrays comparison.\n\n\n  aStack = aStack || [];\n  bStack = bStack || [];\n  var length = aStack.length;\n\n  while (length--) {\n    // Linear search. Performance is inversely proportional to the number of\n    // unique nested structures.\n    if (aStack[length] === a) return bStack[length] === b;\n  } // Add the first object to the stack of traversed objects.\n\n\n  aStack.push(a);\n  bStack.push(b); // Recursively compare objects and arrays.\n\n  if (areArrays) {\n    // Compare array lengths to determine if a deep comparison is necessary.\n    length = a.length;\n    if (length !== b.length) return false; // Deep compare the contents, ignoring non-numeric properties.\n\n    while (length--) {\n      if (!eq(a[length], b[length], aStack, bStack)) return false;\n    }\n  } else {\n    // Deep compare objects.\n    var keys$$1 = Object.keys(a),\n        key;\n    length = keys$$1.length; // Ensure that both objects contain the same number of properties before comparing deep equality.\n\n    if (Object.keys(b).length !== length) return false;\n\n    while (length--) {\n      // Deep compare each member\n      key = keys$$1[length];\n      if (!(has$1(b, key) && eq(a[key], b[key], aStack, bStack))) return false;\n    }\n  } // Remove the first object from the stack of traversed objects.\n\n\n  aStack.pop();\n  bStack.pop();\n  return true;\n}\n\nfunction unwrap(a) {\n  if (isObservableArray$$1(a)) return a.slice();\n  if (isES6Map$$1(a) || isObservableMap$$1(a)) return Array.from(a.entries());\n  return a;\n}\n\nfunction has$1(a, key) {\n  return Object.prototype.hasOwnProperty.call(a, key);\n}\n\nfunction makeIterable(iterator) {\n  iterator[Symbol.iterator] = self;\n  return iterator;\n}\n\nfunction self() {\n  return this;\n}\n/*\nThe only reason for this file to exist is pure horror:\nWithout it rollup can make the bundling fail at any point in time; when it rolls up the files in the wrong order\nit will cause undefined errors (for example because super classes or local variables not being hosted).\nWith this file that will still happen,\nbut at least in this file we can magically reorder the imports with trial and error until the build succeeds again.\n*/\n\n/**\n * (c) Michel Weststrate 2015 - 2018\n * MIT Licensed\n *\n * Welcome to the mobx sources! To get an global overview of how MobX internally works,\n * this is a good place to start:\n * https://medium.com/@mweststrate/becoming-fully-reactive-an-in-depth-explanation-of-mobservable-55995262a254#.xvbh6qd74\n *\n * Source folders:\n * ===============\n *\n * - api/     Most of the public static methods exposed by the module can be found here.\n * - core/    Implementation of the MobX algorithm; atoms, derivations, reactions, dependency trees, optimizations. Cool stuff can be found here.\n * - types/   All the magic that is need to have observable objects, arrays and values is in this folder. Including the modifiers like `asFlat`.\n * - utils/   Utility stuff.\n *\n */\n\n\nif (typeof Proxy === \"undefined\" || typeof Symbol === \"undefined\") {\n  throw new Error(\"[mobx] MobX 5+ requires Proxy and Symbol objects. If your environment doesn't support Proxy objects, please downgrade to MobX 4. For React Native Android, consider upgrading JSCore.\");\n}\n\ntry {\n  // define process.env if needed\n  // if this is not a production build in the first place\n  // (in which case the expression below would be substituted with 'production')\n  process.env.NODE_ENV;\n} catch (e) {\n  var g = typeof window !== \"undefined\" ? window : global;\n  if (typeof process === \"undefined\") g.process = {};\n  g.process.env = {};\n}\n\n(function () {\n  function testCodeMinification() {}\n\n  if (testCodeMinification.name !== \"testCodeMinification\" && process.env.NODE_ENV !== \"production\" && process.env.IGNORE_MOBX_MINIFY_WARNING !== \"true\") {\n    console.warn( // Template literal(backtick) is used for fix issue with rollup-plugin-commonjs https://github.com/rollup/rollup-plugin-commonjs/issues/344\n    \"[mobx] you are running a minified build, but 'process.env.NODE_ENV' was not set to 'production' in your bundler. This results in an unnecessarily large and slow bundle\");\n  }\n})(); // Devtools support\n\n\nif (typeof __MOBX_DEVTOOLS_GLOBAL_HOOK__ === \"object\") {\n  // See: https://github.com/andykog/mobx-devtools/\n  __MOBX_DEVTOOLS_GLOBAL_HOOK__.injectMobx({\n    spy: spy$$1,\n    extras: {\n      getDebugName: getDebugName$$1\n    },\n    $mobx: $mobx$$1\n  });\n}\n\nexport { Reaction$$1 as Reaction, untracked$$1 as untracked, IDerivationState, createAtom$$1 as createAtom, spy$$1 as spy, comparer$$1 as comparer, isObservableObject$$1 as isObservableObject, isObservableValue$$1 as isBoxedObservable, isObservableArray$$1 as isObservableArray, ObservableMap$$1 as ObservableMap, isObservableMap$$1 as isObservableMap, transaction$$1 as transaction, observable$$1 as observable, computed$$1 as computed, isObservable$$1 as isObservable, isObservableProp$$1 as isObservableProp, isComputed$$1 as isComputed, isComputedProp$$1 as isComputedProp, extendObservable$$1 as extendObservable, observe$$1 as observe, intercept$$1 as intercept, autorun$$1 as autorun, reaction$$1 as reaction, when$$1 as when, action$$1 as action, isAction$$1 as isAction, runInAction$$1 as runInAction, keys$$1 as keys, values$$1 as values, entries$$1 as entries, set$$1 as set, remove$$1 as remove, has$$1 as has, get$$1 as get, decorate$$1 as decorate, configure$$1 as configure, onBecomeObserved$$1 as onBecomeObserved, onBecomeUnobserved$$1 as onBecomeUnobserved, flow$$1 as flow, toJS$$1 as toJS, trace$$1 as trace, getDependencyTree$$1 as getDependencyTree, getObserverTree$$1 as getObserverTree, resetGlobalState$$1 as _resetGlobalState, getGlobalState$$1 as _getGlobalState, getDebugName$$1 as getDebugName, getAtom$$1 as getAtom, getAdministration$$1 as _getAdministration, allowStateChanges$$1 as _allowStateChanges, allowStateChangesInsideComputed$$1 as _allowStateChangesInsideComputed, isArrayLike$$1 as isArrayLike, $mobx$$1 as $mobx, isComputingDerivation$$1 as _isComputingDerivation, onReactionError$$1 as onReactionError, interceptReads$$1 as _interceptReads };","export default function _applyDecoratedDescriptor(target, property, decorators, descriptor, context) {\n  var desc = {};\n  Object['ke' + 'ys'](descriptor).forEach(function (key) {\n    desc[key] = descriptor[key];\n  });\n  desc.enumerable = !!desc.enumerable;\n  desc.configurable = !!desc.configurable;\n\n  if ('value' in desc || desc.initializer) {\n    desc.writable = true;\n  }\n\n  desc = decorators.slice().reverse().reduce(function (desc, decorator) {\n    return decorator(target, property, desc) || desc;\n  }, desc);\n\n  if (context && desc.initializer !== void 0) {\n    desc.value = desc.initializer ? desc.initializer.call(context) : void 0;\n    desc.initializer = undefined;\n  }\n\n  if (desc.initializer === void 0) {\n    Object['define' + 'Property'](target, property, desc);\n    desc = null;\n  }\n\n  return desc;\n}","/**\n * Copyright (c) 2013-present, Facebook, Inc.\n *\n * This source code is licensed under the MIT license found in the\n * LICENSE file in the root directory of this source tree.\n */\nif (process.env.NODE_ENV !== 'production') {\n  var REACT_ELEMENT_TYPE = typeof Symbol === 'function' && Symbol.for && Symbol.for('react.element') || 0xeac7;\n\n  var isValidElement = function isValidElement(object) {\n    return typeof object === 'object' && object !== null && object.$$typeof === REACT_ELEMENT_TYPE;\n  }; // By explicitly using `prop-types` you are opting into new development behavior.\n  // http://fb.me/prop-types-in-prod\n\n\n  var throwOnDirectAccess = true;\n  module.exports = require('./factoryWithTypeCheckers')(isValidElement, throwOnDirectAccess);\n} else {\n  // By explicitly using `prop-types` you are opting into new production behavior.\n  // http://fb.me/prop-types-in-prod\n  module.exports = require('./factoryWithThrowingShims')();\n}","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\n// These values are designed to match the ASP.NET Log Levels since that's the pattern we're emulating here.\n\n/** Indicates the severity of a log message.\r\n *\r\n * Log Levels are ordered in increasing severity. So `Debug` is more severe than `Trace`, etc.\r\n */\nexport var LogLevel;\n\n(function (LogLevel) {\n  /** Log level for very low severity diagnostic messages. */\n  LogLevel[LogLevel[\"Trace\"] = 0] = \"Trace\";\n  /** Log level for low severity diagnostic messages. */\n\n  LogLevel[LogLevel[\"Debug\"] = 1] = \"Debug\";\n  /** Log level for informational diagnostic messages. */\n\n  LogLevel[LogLevel[\"Information\"] = 2] = \"Information\";\n  /** Log level for diagnostic messages that indicate a non-fatal problem. */\n\n  LogLevel[LogLevel[\"Warning\"] = 3] = \"Warning\";\n  /** Log level for diagnostic messages that indicate a failure in the current operation. */\n\n  LogLevel[LogLevel[\"Error\"] = 4] = \"Error\";\n  /** Log level for diagnostic messages that indicate a failure that will terminate the entire application. */\n\n  LogLevel[LogLevel[\"Critical\"] = 5] = \"Critical\";\n  /** The highest possible log level. Used when configuring logging to indicate that no log messages should be emitted. */\n\n  LogLevel[LogLevel[\"None\"] = 6] = \"None\";\n})(LogLevel || (LogLevel = {}));","'use strict';\n/**\n * Execute the callback function element wise for each element in array and any\n * nested array\n * Returns an array with the results\n * @param {Array | Matrix} array\n * @param {Function} callback   The callback is called with two parameters:\n *                              value1 and value2, which contain the current\n *                              element of both arrays.\n * @param {boolean} [skipZeros] Invoke callback function for non-zero values only.\n *\n * @return {Array | Matrix} res\n */\n\nmodule.exports = function deepMap(array, callback, skipZeros) {\n  if (array && typeof array.map === 'function') {\n    // TODO: replace array.map with a for loop to improve performance\n    return array.map(function (x) {\n      return deepMap(x, callback, skipZeros);\n    });\n  } else {\n    return callback(array);\n  }\n};","'use strict';\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create a Matrix. The function creates a new `math.type.Matrix` object from\n   * an `Array`. A Matrix has utility functions to manipulate the data in the\n   * matrix, like getting the size and getting or setting values in the matrix.\n   * Supported storage formats are 'dense' and 'sparse'.\n   *\n   * Syntax:\n   *\n   *    math.matrix()                         // creates an empty matrix using default storage format (dense).\n   *    math.matrix(data)                     // creates a matrix with initial data using default storage format (dense).\n   *    math.matrix('dense')                  // creates an empty matrix using the given storage format.\n   *    math.matrix(data, 'dense')            // creates a matrix with initial data using the given storage format.\n   *    math.matrix(data, 'sparse')           // creates a sparse matrix with initial data.\n   *    math.matrix(data, 'sparse', 'number') // creates a sparse matrix with initial data, number data type.\n   *\n   * Examples:\n   *\n   *    let m = math.matrix([[1, 2], [3, 4]])\n   *    m.size()                        // Array [2, 2]\n   *    m.resize([3, 2], 5)\n   *    m.valueOf()                     // Array [[1, 2], [3, 4], [5, 5]]\n   *    m.get([1, 0])                    // number 3\n   *\n   * See also:\n   *\n   *    bignumber, boolean, complex, index, number, string, unit, sparse\n   *\n   * @param {Array | Matrix} [data]    A multi dimensional array\n   * @param {string} [format]          The Matrix storage format\n   *\n   * @return {Matrix} The created matrix\n   */\n  var matrix = typed('matrix', {\n    '': function _() {\n      return _create([]);\n    },\n    'string': function string(format) {\n      return _create([], format);\n    },\n    'string, string': function stringString(format, datatype) {\n      return _create([], format, datatype);\n    },\n    'Array': function Array(data) {\n      return _create(data);\n    },\n    'Matrix': function Matrix(data) {\n      return _create(data, data.storage());\n    },\n    'Array | Matrix, string': _create,\n    'Array | Matrix, string, string': _create\n  });\n  matrix.toTex = {\n    0: '\\\\begin{bmatrix}\\\\end{bmatrix}',\n    1: \"\\\\left(${args[0]}\\\\right)\",\n    2: \"\\\\left(${args[0]}\\\\right)\"\n  };\n  return matrix;\n  /**\n   * Create a new Matrix with given storage format\n   * @param {Array} data\n   * @param {string} [format]\n   * @param {string} [datatype]\n   * @returns {Matrix} Returns a new Matrix\n   * @private\n   */\n\n  function _create(data, format, datatype) {\n    // get storage format constructor\n    var M = type.Matrix.storage(format || 'default'); // create instance\n\n    return new M(data, datatype);\n  }\n}\n\nexports.name = 'matrix';\nexports.factory = factory;","'use strict';\n\nObject.defineProperty(exports, \"__esModule\", {\n  value: true\n});\nexports.size = size;\nexports.validate = validate;\nexports.validateIndex = validateIndex;\nexports.resize = resize;\nexports.reshape = reshape;\nexports.squeeze = squeeze;\nexports.unsqueeze = unsqueeze;\nexports.flatten = flatten;\nexports.map = map;\nexports.forEach = forEach;\nexports.filter = filter;\nexports.filterRegExp = filterRegExp;\nexports.join = join;\nexports.identify = identify;\nexports.generalize = generalize;\n\nvar _number = _interopRequireDefault(require(\"./number\"));\n\nvar _string = _interopRequireDefault(require(\"./string\"));\n\nvar _DimensionError = _interopRequireDefault(require(\"../error/DimensionError\"));\n\nvar _IndexError = _interopRequireDefault(require(\"../error/IndexError\"));\n\nfunction _interopRequireDefault(obj) {\n  return obj && obj.__esModule ? obj : {\n    default: obj\n  };\n}\n/**\n * Calculate the size of a multi dimensional array.\n * This function checks the size of the first entry, it does not validate\n * whether all dimensions match. (use function `validate` for that)\n * @param {Array} x\n * @Return {Number[]} size\n */\n\n\nfunction size(x) {\n  var s = [];\n\n  while (Array.isArray(x)) {\n    s.push(x.length);\n    x = x[0];\n  }\n\n  return s;\n}\n/**\n * Recursively validate whether each element in a multi dimensional array\n * has a size corresponding to the provided size array.\n * @param {Array} array    Array to be validated\n * @param {number[]} size  Array with the size of each dimension\n * @param {number} dim   Current dimension\n * @throws DimensionError\n * @private\n */\n\n\nfunction _validate(array, size, dim) {\n  var i;\n  var len = array.length;\n\n  if (len !== size[dim]) {\n    throw new _DimensionError.default(len, size[dim]);\n  }\n\n  if (dim < size.length - 1) {\n    // recursively validate each child array\n    var dimNext = dim + 1;\n\n    for (i = 0; i < len; i++) {\n      var child = array[i];\n\n      if (!Array.isArray(child)) {\n        throw new _DimensionError.default(size.length - 1, size.length, '<');\n      }\n\n      _validate(array[i], size, dimNext);\n    }\n  } else {\n    // last dimension. none of the childs may be an array\n    for (i = 0; i < len; i++) {\n      if (Array.isArray(array[i])) {\n        throw new _DimensionError.default(size.length + 1, size.length, '>');\n      }\n    }\n  }\n}\n/**\n * Validate whether each element in a multi dimensional array has\n * a size corresponding to the provided size array.\n * @param {Array} array    Array to be validated\n * @param {number[]} size  Array with the size of each dimension\n * @throws DimensionError\n */\n\n\nfunction validate(array, size) {\n  var isScalar = size.length === 0;\n\n  if (isScalar) {\n    // scalar\n    if (Array.isArray(array)) {\n      throw new _DimensionError.default(array.length, 0);\n    }\n  } else {\n    // array\n    _validate(array, size, 0);\n  }\n}\n/**\n * Test whether index is an integer number with index >= 0 and index < length\n * when length is provided\n * @param {number} index    Zero-based index\n * @param {number} [length] Length of the array\n */\n\n\nfunction validateIndex(index, length) {\n  if (!_number.default.isNumber(index) || !_number.default.isInteger(index)) {\n    throw new TypeError('Index must be an integer (value: ' + index + ')');\n  }\n\n  if (index < 0 || typeof length === 'number' && index >= length) {\n    throw new _IndexError.default(index, length);\n  }\n}\n/**\n * Resize a multi dimensional array. The resized array is returned.\n * @param {Array} array         Array to be resized\n * @param {Array.<number>} size Array with the size of each dimension\n * @param {*} [defaultValue=0]  Value to be filled in in new entries,\n *                              zero by default. Specify for example `null`,\n *                              to clearly see entries that are not explicitly\n *                              set.\n * @return {Array} array         The resized array\n */\n\n\nfunction resize(array, size, defaultValue) {\n  // TODO: add support for scalars, having size=[] ?\n  // check the type of the arguments\n  if (!Array.isArray(array) || !Array.isArray(size)) {\n    throw new TypeError('Array expected');\n  }\n\n  if (size.length === 0) {\n    throw new Error('Resizing to scalar is not supported');\n  } // check whether size contains positive integers\n\n\n  size.forEach(function (value) {\n    if (!_number.default.isNumber(value) || !_number.default.isInteger(value) || value < 0) {\n      throw new TypeError('Invalid size, must contain positive integers ' + '(size: ' + _string.default.format(size) + ')');\n    }\n  }); // recursively resize the array\n\n  var _defaultValue = defaultValue !== undefined ? defaultValue : 0;\n\n  _resize(array, size, 0, _defaultValue);\n\n  return array;\n}\n/**\n * Recursively resize a multi dimensional array\n * @param {Array} array         Array to be resized\n * @param {number[]} size       Array with the size of each dimension\n * @param {number} dim          Current dimension\n * @param {*} [defaultValue]    Value to be filled in in new entries,\n *                              undefined by default.\n * @private\n */\n\n\nfunction _resize(array, size, dim, defaultValue) {\n  var i;\n  var elem;\n  var oldLen = array.length;\n  var newLen = size[dim];\n  var minLen = Math.min(oldLen, newLen); // apply new length\n\n  array.length = newLen;\n\n  if (dim < size.length - 1) {\n    // non-last dimension\n    var dimNext = dim + 1; // resize existing child arrays\n\n    for (i = 0; i < minLen; i++) {\n      // resize child array\n      elem = array[i];\n\n      if (!Array.isArray(elem)) {\n        elem = [elem]; // add a dimension\n\n        array[i] = elem;\n      }\n\n      _resize(elem, size, dimNext, defaultValue);\n    } // create new child arrays\n\n\n    for (i = minLen; i < newLen; i++) {\n      // get child array\n      elem = [];\n      array[i] = elem; // resize new child array\n\n      _resize(elem, size, dimNext, defaultValue);\n    }\n  } else {\n    // last dimension\n    // remove dimensions of existing values\n    for (i = 0; i < minLen; i++) {\n      while (Array.isArray(array[i])) {\n        array[i] = array[i][0];\n      }\n    } // fill new elements with the default value\n\n\n    for (i = minLen; i < newLen; i++) {\n      array[i] = defaultValue;\n    }\n  }\n}\n/**\n * Re-shape a multi dimensional array to fit the specified dimensions\n * @param {Array} array           Array to be reshaped\n * @param {Array.<number>} sizes  List of sizes for each dimension\n * @returns {Array}               Array whose data has been formatted to fit the\n *                                specified dimensions\n *\n * @throws {DimensionError}       If the product of the new dimension sizes does\n *                                not equal that of the old ones\n */\n\n\nfunction reshape(array, sizes) {\n  var flatArray = flatten(array);\n  var newArray;\n\n  function product(arr) {\n    return arr.reduce(function (prev, curr) {\n      return prev * curr;\n    });\n  }\n\n  if (!Array.isArray(array) || !Array.isArray(sizes)) {\n    throw new TypeError('Array expected');\n  }\n\n  if (sizes.length === 0) {\n    throw new _DimensionError.default(0, product(size(array)), '!=');\n  }\n\n  var totalSize = 1;\n\n  for (var sizeIndex = 0; sizeIndex < sizes.length; sizeIndex++) {\n    totalSize *= sizes[sizeIndex];\n  }\n\n  if (flatArray.length !== totalSize) {\n    throw new _DimensionError.default(product(sizes), product(size(array)), '!=');\n  }\n\n  try {\n    newArray = _reshape(flatArray, sizes);\n  } catch (e) {\n    if (e instanceof _DimensionError.default) {\n      throw new _DimensionError.default(product(sizes), product(size(array)), '!=');\n    }\n\n    throw e;\n  }\n\n  return newArray;\n}\n/**\n * Iteratively re-shape a multi dimensional array to fit the specified dimensions\n * @param {Array} array           Array to be reshaped\n * @param {Array.<number>} sizes  List of sizes for each dimension\n * @returns {Array}               Array whose data has been formatted to fit the\n *                                specified dimensions\n */\n\n\nfunction _reshape(array, sizes) {\n  // testing if there are enough elements for the requested shape\n  var tmpArray = array;\n  var tmpArray2; // for each dimensions starting by the last one and ignoring the first one\n\n  for (var sizeIndex = sizes.length - 1; sizeIndex > 0; sizeIndex--) {\n    var size = sizes[sizeIndex];\n    tmpArray2 = []; // aggregate the elements of the current tmpArray in elements of the requested size\n\n    var length = tmpArray.length / size;\n\n    for (var i = 0; i < length; i++) {\n      tmpArray2.push(tmpArray.slice(i * size, (i + 1) * size));\n    } // set it as the new tmpArray for the next loop turn or for return\n\n\n    tmpArray = tmpArray2;\n  }\n\n  return tmpArray;\n}\n/**\n * Squeeze a multi dimensional array\n * @param {Array} array\n * @param {Array} [arraySize]\n * @returns {Array} returns the array itself\n */\n\n\nfunction squeeze(array, arraySize) {\n  var s = arraySize || size(array); // squeeze outer dimensions\n\n  while (Array.isArray(array) && array.length === 1) {\n    array = array[0];\n    s.shift();\n  } // find the first dimension to be squeezed\n\n\n  var dims = s.length;\n\n  while (s[dims - 1] === 1) {\n    dims--;\n  } // squeeze inner dimensions\n\n\n  if (dims < s.length) {\n    array = _squeeze(array, dims, 0);\n    s.length = dims;\n  }\n\n  return array;\n}\n/**\n * Recursively squeeze a multi dimensional array\n * @param {Array} array\n * @param {number} dims Required number of dimensions\n * @param {number} dim  Current dimension\n * @returns {Array | *} Returns the squeezed array\n * @private\n */\n\n\nfunction _squeeze(array, dims, dim) {\n  var i, ii;\n\n  if (dim < dims) {\n    var next = dim + 1;\n\n    for (i = 0, ii = array.length; i < ii; i++) {\n      array[i] = _squeeze(array[i], dims, next);\n    }\n  } else {\n    while (Array.isArray(array)) {\n      array = array[0];\n    }\n  }\n\n  return array;\n}\n/**\n * Unsqueeze a multi dimensional array: add dimensions when missing\n *\n * Paramter `size` will be mutated to match the new, unqueezed matrix size.\n *\n * @param {Array} array\n * @param {number} dims       Desired number of dimensions of the array\n * @param {number} [outer]    Number of outer dimensions to be added\n * @param {Array} [arraySize] Current size of array.\n * @returns {Array} returns the array itself\n * @private\n */\n\n\nfunction unsqueeze(array, dims, outer, arraySize) {\n  var s = arraySize || size(array); // unsqueeze outer dimensions\n\n  if (outer) {\n    for (var i = 0; i < outer; i++) {\n      array = [array];\n      s.unshift(1);\n    }\n  } // unsqueeze inner dimensions\n\n\n  array = _unsqueeze(array, dims, 0);\n\n  while (s.length < dims) {\n    s.push(1);\n  }\n\n  return array;\n}\n/**\n * Recursively unsqueeze a multi dimensional array\n * @param {Array} array\n * @param {number} dims Required number of dimensions\n * @param {number} dim  Current dimension\n * @returns {Array | *} Returns the squeezed array\n * @private\n */\n\n\nfunction _unsqueeze(array, dims, dim) {\n  var i, ii;\n\n  if (Array.isArray(array)) {\n    var next = dim + 1;\n\n    for (i = 0, ii = array.length; i < ii; i++) {\n      array[i] = _unsqueeze(array[i], dims, next);\n    }\n  } else {\n    for (var d = dim; d < dims; d++) {\n      array = [array];\n    }\n  }\n\n  return array;\n}\n/**\n * Flatten a multi dimensional array, put all elements in a one dimensional\n * array\n * @param {Array} array   A multi dimensional array\n * @return {Array}        The flattened array (1 dimensional)\n */\n\n\nfunction flatten(array) {\n  if (!Array.isArray(array)) {\n    // if not an array, return as is\n    return array;\n  }\n\n  var flat = [];\n  array.forEach(function callback(value) {\n    if (Array.isArray(value)) {\n      value.forEach(callback); // traverse through sub-arrays recursively\n    } else {\n      flat.push(value);\n    }\n  });\n  return flat;\n}\n/**\n * A safe map\n * @param {Array} array\n * @param {function} callback\n */\n\n\nfunction map(array, callback) {\n  return Array.prototype.map.call(array, callback);\n}\n/**\n * A safe forEach\n * @param {Array} array\n * @param {function} callback\n */\n\n\nfunction forEach(array, callback) {\n  Array.prototype.forEach.call(array, callback);\n}\n/**\n * A safe filter\n * @param {Array} array\n * @param {function} callback\n */\n\n\nfunction filter(array, callback) {\n  if (size(array).length !== 1) {\n    throw new Error('Only one dimensional matrices supported');\n  }\n\n  return Array.prototype.filter.call(array, callback);\n}\n/**\n * Filter values in a callback given a regular expression\n * @param {Array} array\n * @param {RegExp} regexp\n * @return {Array} Returns the filtered array\n * @private\n */\n\n\nfunction filterRegExp(array, regexp) {\n  if (size(array).length !== 1) {\n    throw new Error('Only one dimensional matrices supported');\n  }\n\n  return Array.prototype.filter.call(array, function (entry) {\n    return regexp.test(entry);\n  });\n}\n/**\n * A safe join\n * @param {Array} array\n * @param {string} separator\n */\n\n\nfunction join(array, separator) {\n  return Array.prototype.join.call(array, separator);\n}\n/**\n * Assign a numeric identifier to every element of a sorted array\n * @param {Array} a  An array\n * @return {Array} An array of objects containing the original value and its identifier\n */\n\n\nfunction identify(a) {\n  if (!Array.isArray(a)) {\n    throw new TypeError('Array input expected');\n  }\n\n  if (a.length === 0) {\n    return a;\n  }\n\n  var b = [];\n  var count = 0;\n  b[0] = {\n    value: a[0],\n    identifier: 0\n  };\n\n  for (var i = 1; i < a.length; i++) {\n    if (a[i] === a[i - 1]) {\n      count++;\n    } else {\n      count = 0;\n    }\n\n    b.push({\n      value: a[i],\n      identifier: count\n    });\n  }\n\n  return b;\n}\n/**\n * Remove the numeric identifier from the elements\n * @param {array} a  An array\n * @return {array} An array of values without identifiers\n */\n\n\nfunction generalize(a) {\n  if (!Array.isArray(a)) {\n    throw new TypeError('Array input expected');\n  }\n\n  if (a.length === 0) {\n    return a;\n  }\n\n  var b = [];\n\n  for (var i = 0; i < a.length; i++) {\n    b.push(a[i].value);\n  }\n\n  return b;\n}","'use strict';\n\nvar objectUtils = require('./object');\n/**\n * @typedef {{sign: '+' | '-' | '', coefficients: number[], exponent: number}} SplitValue\n */\n\n/**\n * Test whether value is a number\n * @param {*} value\n * @return {boolean} isNumber\n */\n\n\nexports.isNumber = function (value) {\n  return typeof value === 'number';\n};\n/**\n * Check if a number is integer\n * @param {number | boolean} value\n * @return {boolean} isInteger\n */\n\n\nexports.isInteger = function (value) {\n  if (typeof value === 'boolean') {\n    return true;\n  }\n\n  return isFinite(value) ? value === Math.round(value) : false; // Note: we use ==, not ===, as we can have Booleans as well\n};\n/**\n * Calculate the sign of a number\n * @param {number} x\n * @returns {*}\n */\n\n\nexports.sign = Math.sign || function (x) {\n  if (x > 0) {\n    return 1;\n  } else if (x < 0) {\n    return -1;\n  } else {\n    return 0;\n  }\n};\n/**\n * Convert a number to a formatted string representation.\n *\n * Syntax:\n *\n *    format(value)\n *    format(value, options)\n *    format(value, precision)\n *    format(value, fn)\n *\n * Where:\n *\n *    {number} value   The value to be formatted\n *    {Object} options An object with formatting options. Available options:\n *                     {string} notation\n *                         Number notation. Choose from:\n *                         'fixed'          Always use regular number notation.\n *                                          For example '123.40' and '14000000'\n *                         'exponential'    Always use exponential notation.\n *                                          For example '1.234e+2' and '1.4e+7'\n *                         'engineering'    Always use engineering notation.\n *                                          For example '123.4e+0' and '14.0e+6'\n *                         'auto' (default) Regular number notation for numbers\n *                                          having an absolute value between\n *                                          `lowerExp` and `upperExp` bounds, and\n *                                          uses exponential notation elsewhere.\n *                                          Lower bound is included, upper bound\n *                                          is excluded.\n *                                          For example '123.4' and '1.4e7'.\n *                     {number} precision   A number between 0 and 16 to round\n *                                          the digits of the number.\n *                                          In case of notations 'exponential',\n *                                          'engineering', and 'auto',\n *                                          `precision` defines the total\n *                                          number of significant digits returned.\n *                                          In case of notation 'fixed',\n *                                          `precision` defines the number of\n *                                          significant digits after the decimal\n *                                          point.\n *                                          `precision` is undefined by default,\n *                                          not rounding any digits.\n *                     {number} lowerExp    Exponent determining the lower boundary\n *                                          for formatting a value with an exponent\n *                                          when `notation='auto`.\n *                                          Default value is `-3`.\n *                     {number} upperExp    Exponent determining the upper boundary\n *                                          for formatting a value with an exponent\n *                                          when `notation='auto`.\n *                                          Default value is `5`.\n *    {Function} fn    A custom formatting function. Can be used to override the\n *                     built-in notations. Function `fn` is called with `value` as\n *                     parameter and must return a string. Is useful for example to\n *                     format all values inside a matrix in a particular way.\n *\n * Examples:\n *\n *    format(6.4)                                        // '6.4'\n *    format(1240000)                                    // '1.24e6'\n *    format(1/3)                                        // '0.3333333333333333'\n *    format(1/3, 3)                                     // '0.333'\n *    format(21385, 2)                                   // '21000'\n *    format(12.071, {notation: 'fixed'})                // '12'\n *    format(2.3,    {notation: 'fixed', precision: 2})  // '2.30'\n *    format(52.8,   {notation: 'exponential'})          // '5.28e+1'\n *    format(12345678, {notation: 'engineering'})        // '12.345678e+6'\n *\n * @param {number} value\n * @param {Object | Function | number} [options]\n * @return {string} str The formatted value\n */\n\n\nexports.format = function (value, options) {\n  if (typeof options === 'function') {\n    // handle format(value, fn)\n    return options(value);\n  } // handle special cases\n\n\n  if (value === Infinity) {\n    return 'Infinity';\n  } else if (value === -Infinity) {\n    return '-Infinity';\n  } else if (isNaN(value)) {\n    return 'NaN';\n  } // default values for options\n\n\n  var notation = 'auto';\n  var precision;\n\n  if (options) {\n    // determine notation from options\n    if (options.notation) {\n      notation = options.notation;\n    } // determine precision from options\n\n\n    if (exports.isNumber(options)) {\n      precision = options;\n    } else if (exports.isNumber(options.precision)) {\n      precision = options.precision;\n    }\n  } // handle the various notations\n\n\n  switch (notation) {\n    case 'fixed':\n      return exports.toFixed(value, precision);\n\n    case 'exponential':\n      return exports.toExponential(value, precision);\n\n    case 'engineering':\n      return exports.toEngineering(value, precision);\n\n    case 'auto':\n      // TODO: clean up some day. Deprecated since: 2018-01-24\n      // @deprecated upper and lower are replaced with upperExp and lowerExp since v4.0.0\n      if (options && options.exponential && (options.exponential.lower !== undefined || options.exponential.upper !== undefined)) {\n        var fixedOptions = objectUtils.map(options, function (x) {\n          return x;\n        });\n        fixedOptions.exponential = undefined;\n\n        if (options.exponential.lower !== undefined) {\n          fixedOptions.lowerExp = Math.round(Math.log(options.exponential.lower) / Math.LN10);\n        }\n\n        if (options.exponential.upper !== undefined) {\n          fixedOptions.upperExp = Math.round(Math.log(options.exponential.upper) / Math.LN10);\n        }\n\n        console.warn('Deprecation warning: Formatting options exponential.lower and exponential.upper ' + '(minimum and maximum value) ' + 'are replaced with exponential.lowerExp and exponential.upperExp ' + '(minimum and maximum exponent) since version 4.0.0. ' + 'Replace ' + JSON.stringify(options) + ' with ' + JSON.stringify(fixedOptions));\n        return exports.toPrecision(value, precision, fixedOptions);\n      }\n\n      return exports.toPrecision(value, precision, options && options) // remove trailing zeros after the decimal point\n      .replace(/((\\.\\d*?)(0+))($|e)/, function () {\n        var digits = arguments[2];\n        var e = arguments[4];\n        return digits !== '.' ? digits + e : e;\n      });\n\n    default:\n      throw new Error('Unknown notation \"' + notation + '\". ' + 'Choose \"auto\", \"exponential\", or \"fixed\".');\n  }\n};\n/**\n * Split a number into sign, coefficients, and exponent\n * @param {number | string} value\n * @return {SplitValue}\n *              Returns an object containing sign, coefficients, and exponent\n */\n\n\nexports.splitNumber = function (value) {\n  // parse the input value\n  var match = String(value).toLowerCase().match(/^0*?(-?)(\\d+\\.?\\d*)(e([+-]?\\d+))?$/);\n\n  if (!match) {\n    throw new SyntaxError('Invalid number ' + value);\n  }\n\n  var sign = match[1];\n  var digits = match[2];\n  var exponent = parseFloat(match[4] || '0');\n  var dot = digits.indexOf('.');\n  exponent += dot !== -1 ? dot - 1 : digits.length - 1;\n  var coefficients = digits.replace('.', '') // remove the dot (must be removed before removing leading zeros)\n  .replace(/^0*/, function (zeros) {\n    // remove leading zeros, add their count to the exponent\n    exponent -= zeros.length;\n    return '';\n  }).replace(/0*$/, '') // remove trailing zeros\n  .split('').map(function (d) {\n    return parseInt(d);\n  });\n\n  if (coefficients.length === 0) {\n    coefficients.push(0);\n    exponent++;\n  }\n\n  return {\n    sign: sign,\n    coefficients: coefficients,\n    exponent: exponent\n  };\n};\n/**\n * Format a number in engineering notation. Like '1.23e+6', '2.3e+0', '3.500e-3'\n * @param {number | string} value\n * @param {number} [precision]        Optional number of significant figures to return.\n */\n\n\nexports.toEngineering = function (value, precision) {\n  if (isNaN(value) || !isFinite(value)) {\n    return String(value);\n  }\n\n  var rounded = exports.roundDigits(exports.splitNumber(value), precision);\n  var e = rounded.exponent;\n  var c = rounded.coefficients; // find nearest lower multiple of 3 for exponent\n\n  var newExp = e % 3 === 0 ? e : e < 0 ? e - 3 - e % 3 : e - e % 3;\n\n  if (exports.isNumber(precision)) {\n    // add zeroes to give correct sig figs\n    if (precision > c.length) c = c.concat(zeros(precision - c.length));\n  } else {\n    // concatenate coefficients with necessary zeros\n    var significandsDiff = e >= 0 ? e : Math.abs(newExp); // add zeros if necessary (for ex: 1e+8)\n\n    if (c.length - 1 < significandsDiff) c = c.concat(zeros(significandsDiff - (c.length - 1)));\n  } // find difference in exponents\n\n\n  var expDiff = Math.abs(e - newExp);\n  var decimalIdx = 1; // push decimal index over by expDiff times\n\n  while (--expDiff >= 0) {\n    decimalIdx++;\n  } // if all coefficient values are zero after the decimal point and precision is unset, don't add a decimal value.\n  // otherwise concat with the rest of the coefficients\n\n\n  var decimals = c.slice(decimalIdx).join('');\n  var decimalVal = exports.isNumber(precision) && decimals.length || decimals.match(/[1-9]/) ? '.' + decimals : '';\n  var str = c.slice(0, decimalIdx).join('') + decimalVal + 'e' + (e >= 0 ? '+' : '') + newExp.toString();\n  return rounded.sign + str;\n};\n/**\n * Format a number with fixed notation.\n * @param {number | string} value\n * @param {number} [precision=undefined]  Optional number of decimals after the\n *                                        decimal point. null by default.\n */\n\n\nexports.toFixed = function (value, precision) {\n  if (isNaN(value) || !isFinite(value)) {\n    return String(value);\n  }\n\n  var splitValue = exports.splitNumber(value);\n  var rounded = typeof precision === 'number' ? exports.roundDigits(splitValue, splitValue.exponent + 1 + precision) : splitValue;\n  var c = rounded.coefficients;\n  var p = rounded.exponent + 1; // exponent may have changed\n  // append zeros if needed\n\n  var pp = p + (precision || 0);\n\n  if (c.length < pp) {\n    c = c.concat(zeros(pp - c.length));\n  } // prepend zeros if needed\n\n\n  if (p < 0) {\n    c = zeros(-p + 1).concat(c);\n    p = 1;\n  } // insert a dot if needed\n\n\n  if (p < c.length) {\n    c.splice(p, 0, p === 0 ? '0.' : '.');\n  }\n\n  return rounded.sign + c.join('');\n};\n/**\n * Format a number in exponential notation. Like '1.23e+5', '2.3e+0', '3.500e-3'\n * @param {number | string} value\n * @param {number} [precision]  Number of digits in formatted output.\n *                              If not provided, the maximum available digits\n *                              is used.\n */\n\n\nexports.toExponential = function (value, precision) {\n  if (isNaN(value) || !isFinite(value)) {\n    return String(value);\n  } // round if needed, else create a clone\n\n\n  var split = exports.splitNumber(value);\n  var rounded = precision ? exports.roundDigits(split, precision) : split;\n  var c = rounded.coefficients;\n  var e = rounded.exponent; // append zeros if needed\n\n  if (c.length < precision) {\n    c = c.concat(zeros(precision - c.length));\n  } // format as `C.CCCe+EEE` or `C.CCCe-EEE`\n\n\n  var first = c.shift();\n  return rounded.sign + first + (c.length > 0 ? '.' + c.join('') : '') + 'e' + (e >= 0 ? '+' : '') + e;\n};\n/**\n * Format a number with a certain precision\n * @param {number | string} value\n * @param {number} [precision=undefined] Optional number of digits.\n * @param {{lowerExp: number | undefined, upperExp: number | undefined}} [options]\n *                                       By default:\n *                                         lowerExp = -3 (incl)\n *                                         upper = +5 (excl)\n * @return {string}\n */\n\n\nexports.toPrecision = function (value, precision, options) {\n  if (isNaN(value) || !isFinite(value)) {\n    return String(value);\n  } // determine lower and upper bound for exponential notation.\n\n\n  var lowerExp = options && options.lowerExp !== undefined ? options.lowerExp : -3;\n  var upperExp = options && options.upperExp !== undefined ? options.upperExp : 5;\n  var split = exports.splitNumber(value);\n\n  if (split.exponent < lowerExp || split.exponent >= upperExp) {\n    // exponential notation\n    return exports.toExponential(value, precision);\n  } else {\n    var rounded = precision ? exports.roundDigits(split, precision) : split;\n    var c = rounded.coefficients;\n    var e = rounded.exponent; // append trailing zeros\n\n    if (c.length < precision) {\n      c = c.concat(zeros(precision - c.length));\n    } // append trailing zeros\n    // TODO: simplify the next statement\n\n\n    c = c.concat(zeros(e - c.length + 1 + (c.length < precision ? precision - c.length : 0))); // prepend zeros\n\n    c = zeros(-e).concat(c);\n    var dot = e > 0 ? e : 0;\n\n    if (dot < c.length - 1) {\n      c.splice(dot + 1, 0, '.');\n    }\n\n    return rounded.sign + c.join('');\n  }\n};\n/**\n * Round the number of digits of a number *\n * @param {SplitValue} split       A value split with .splitNumber(value)\n * @param {number} precision  A positive integer\n * @return {SplitValue}\n *              Returns an object containing sign, coefficients, and exponent\n *              with rounded digits\n */\n\n\nexports.roundDigits = function (split, precision) {\n  // create a clone\n  var rounded = {\n    sign: split.sign,\n    coefficients: split.coefficients,\n    exponent: split.exponent\n  };\n  var c = rounded.coefficients; // prepend zeros if needed\n\n  while (precision <= 0) {\n    c.unshift(0);\n    rounded.exponent++;\n    precision++;\n  }\n\n  if (c.length > precision) {\n    var removed = c.splice(precision, c.length - precision);\n\n    if (removed[0] >= 5) {\n      var i = precision - 1;\n      c[i]++;\n\n      while (c[i] === 10) {\n        c.pop();\n\n        if (i === 0) {\n          c.unshift(0);\n          rounded.exponent++;\n          i++;\n        }\n\n        i--;\n        c[i]++;\n      }\n    }\n  }\n\n  return rounded;\n};\n/**\n * Create an array filled with zeros.\n * @param {number} length\n * @return {Array}\n */\n\n\nfunction zeros(length) {\n  var arr = [];\n\n  for (var i = 0; i < length; i++) {\n    arr.push(0);\n  }\n\n  return arr;\n}\n/**\n * Count the number of significant digits of a number.\n *\n * For example:\n *   2.34 returns 3\n *   0.0034 returns 2\n *   120.5e+30 returns 4\n *\n * @param {number} value\n * @return {number} digits   Number of significant digits\n */\n\n\nexports.digits = function (value) {\n  return value.toExponential().replace(/e.*$/, '') // remove exponential notation\n  .replace(/^0\\.?0*|\\./, '') // remove decimal point and leading zeros\n  .length;\n};\n/**\n * Minimum number added to one that makes the result different than one\n */\n\n\nexports.DBL_EPSILON = Number.EPSILON || 2.2204460492503130808472633361816E-16;\n/**\n * Compares two floating point numbers.\n * @param {number} x          First value to compare\n * @param {number} y          Second value to compare\n * @param {number} [epsilon]  The maximum relative difference between x and y\n *                            If epsilon is undefined or null, the function will\n *                            test whether x and y are exactly equal.\n * @return {boolean} whether the two numbers are nearly equal\n*/\n\nexports.nearlyEqual = function (x, y, epsilon) {\n  // if epsilon is null or undefined, test whether x and y are exactly equal\n  if (epsilon === null || epsilon === undefined) {\n    return x === y;\n  }\n\n  if (x === y) {\n    return true;\n  } // NaN\n\n\n  if (isNaN(x) || isNaN(y)) {\n    return false;\n  } // at this point x and y should be finite\n\n\n  if (isFinite(x) && isFinite(y)) {\n    // check numbers are very close, needed when comparing numbers near zero\n    var diff = Math.abs(x - y);\n\n    if (diff < exports.DBL_EPSILON) {\n      return true;\n    } else {\n      // use relative error\n      return diff <= Math.max(Math.abs(x), Math.abs(y)) * epsilon;\n    }\n  } // Infinite and Number or negative Infinite and positive Infinite cases\n\n\n  return false;\n};","module.exports = require(\"regenerator-runtime\");\n","export default function _initializerDefineProperty(target, property, descriptor, context) {\n  if (!descriptor) return;\n  Object.defineProperty(target, property, {\n    enumerable: descriptor.enumerable,\n    configurable: descriptor.configurable,\n    writable: descriptor.writable,\n    value: descriptor.initializer ? descriptor.initializer.call(context) : void 0\n  });\n}","'use strict';\n\nvar escapeLatex = require('escape-latex');\n\nexports.symbols = {\n  // GREEK LETTERS\n  Alpha: 'A',\n  alpha: '\\\\alpha',\n  Beta: 'B',\n  beta: '\\\\beta',\n  Gamma: '\\\\Gamma',\n  gamma: '\\\\gamma',\n  Delta: '\\\\Delta',\n  delta: '\\\\delta',\n  Epsilon: 'E',\n  epsilon: '\\\\epsilon',\n  varepsilon: '\\\\varepsilon',\n  Zeta: 'Z',\n  zeta: '\\\\zeta',\n  Eta: 'H',\n  eta: '\\\\eta',\n  Theta: '\\\\Theta',\n  theta: '\\\\theta',\n  vartheta: '\\\\vartheta',\n  Iota: 'I',\n  iota: '\\\\iota',\n  Kappa: 'K',\n  kappa: '\\\\kappa',\n  varkappa: '\\\\varkappa',\n  Lambda: '\\\\Lambda',\n  lambda: '\\\\lambda',\n  Mu: 'M',\n  mu: '\\\\mu',\n  Nu: 'N',\n  nu: '\\\\nu',\n  Xi: '\\\\Xi',\n  xi: '\\\\xi',\n  Omicron: 'O',\n  omicron: 'o',\n  Pi: '\\\\Pi',\n  pi: '\\\\pi',\n  varpi: '\\\\varpi',\n  Rho: 'P',\n  rho: '\\\\rho',\n  varrho: '\\\\varrho',\n  Sigma: '\\\\Sigma',\n  sigma: '\\\\sigma',\n  varsigma: '\\\\varsigma',\n  Tau: 'T',\n  tau: '\\\\tau',\n  Upsilon: \"\\\\Upsilon\",\n  upsilon: \"\\\\upsilon\",\n  Phi: '\\\\Phi',\n  phi: '\\\\phi',\n  varphi: '\\\\varphi',\n  Chi: 'X',\n  chi: '\\\\chi',\n  Psi: '\\\\Psi',\n  psi: '\\\\psi',\n  Omega: '\\\\Omega',\n  omega: '\\\\omega',\n  // logic\n  'true': '\\\\mathrm{True}',\n  'false': '\\\\mathrm{False}',\n  // other\n  i: 'i',\n  // TODO use \\i ??\n  inf: '\\\\infty',\n  Inf: '\\\\infty',\n  infinity: '\\\\infty',\n  Infinity: '\\\\infty',\n  oo: '\\\\infty',\n  lim: '\\\\lim',\n  'undefined': '\\\\mathbf{?}'\n};\nexports.operators = {\n  'transpose': '^\\\\top',\n  'ctranspose': '^H',\n  'factorial': '!',\n  'pow': '^',\n  'dotPow': '.^\\\\wedge',\n  // TODO find ideal solution\n  'unaryPlus': '+',\n  'unaryMinus': '-',\n  'bitNot': '\\\\~',\n  // TODO find ideal solution\n  'not': '\\\\neg',\n  'multiply': '\\\\cdot',\n  'divide': '\\\\frac',\n  // TODO how to handle that properly?\n  'dotMultiply': '.\\\\cdot',\n  // TODO find ideal solution\n  'dotDivide': '.:',\n  // TODO find ideal solution\n  'mod': '\\\\mod',\n  'add': '+',\n  'subtract': '-',\n  'to': '\\\\rightarrow',\n  'leftShift': '<<',\n  'rightArithShift': '>>',\n  'rightLogShift': '>>>',\n  'equal': '=',\n  'unequal': '\\\\neq',\n  'smaller': '<',\n  'larger': '>',\n  'smallerEq': '\\\\leq',\n  'largerEq': '\\\\geq',\n  'bitAnd': '\\\\&',\n  'bitXor': \"\\\\underline{|}\",\n  'bitOr': '|',\n  'and': '\\\\wedge',\n  'xor': '\\\\veebar',\n  'or': '\\\\vee'\n};\nexports.defaultTemplate = \"\\\\mathrm{${name}}\\\\left(${args}\\\\right)\";\nvar units = {\n  deg: '^\\\\circ'\n};\n\nexports.escape = function (string) {\n  return escapeLatex(string, {\n    'preserveFormatting': true\n  });\n}; // @param {string} name\n// @param {boolean} isUnit\n\n\nexports.toSymbol = function (name, isUnit) {\n  isUnit = typeof isUnit === 'undefined' ? false : isUnit;\n\n  if (isUnit) {\n    if (units.hasOwnProperty(name)) {\n      return units[name];\n    }\n\n    return '\\\\mathrm{' + exports.escape(name) + '}';\n  }\n\n  if (exports.symbols.hasOwnProperty(name)) {\n    return exports.symbols[name];\n  }\n\n  return exports.escape(name);\n};","function _defineProperties(target, props) {\n  for (var i = 0; i < props.length; i++) {\n    var descriptor = props[i];\n    descriptor.enumerable = descriptor.enumerable || false;\n    descriptor.configurable = true;\n    if (\"value\" in descriptor) descriptor.writable = true;\n    Object.defineProperty(target, descriptor.key, descriptor);\n  }\n}\n\nexport default function _createClass(Constructor, protoProps, staticProps) {\n  if (protoProps) _defineProperties(Constructor.prototype, protoProps);\n  if (staticProps) _defineProperties(Constructor, staticProps);\n  return Constructor;\n}","import isFunction from 'lodash.isfunction';\nimport PropTypes from 'prop-types'; // https://github.com/twbs/bootstrap/blob/v4.0.0-alpha.4/js/src/modal.js#L436-L443\n\nexport function getScrollbarWidth() {\n  var scrollDiv = document.createElement('div'); // .modal-scrollbar-measure styles // https://github.com/twbs/bootstrap/blob/v4.0.0-alpha.4/scss/_modal.scss#L106-L113\n\n  scrollDiv.style.position = 'absolute';\n  scrollDiv.style.top = '-9999px';\n  scrollDiv.style.width = '50px';\n  scrollDiv.style.height = '50px';\n  scrollDiv.style.overflow = 'scroll';\n  document.body.appendChild(scrollDiv);\n  var scrollbarWidth = scrollDiv.offsetWidth - scrollDiv.clientWidth;\n  document.body.removeChild(scrollDiv);\n  return scrollbarWidth;\n}\nexport function setScrollbarWidth(padding) {\n  document.body.style.paddingRight = padding > 0 ? padding + \"px\" : null;\n}\nexport function isBodyOverflowing() {\n  return document.body.clientWidth < window.innerWidth;\n}\nexport function getOriginalBodyPadding() {\n  var style = window.getComputedStyle(document.body, null);\n  return parseInt(style && style.getPropertyValue('padding-right') || 0, 10);\n}\nexport function conditionallyUpdateScrollbar() {\n  var scrollbarWidth = getScrollbarWidth(); // https://github.com/twbs/bootstrap/blob/v4.0.0-alpha.6/js/src/modal.js#L433\n\n  var fixedContent = document.querySelectorAll('.fixed-top, .fixed-bottom, .is-fixed, .sticky-top')[0];\n  var bodyPadding = fixedContent ? parseInt(fixedContent.style.paddingRight || 0, 10) : 0;\n\n  if (isBodyOverflowing()) {\n    setScrollbarWidth(bodyPadding + scrollbarWidth);\n  }\n}\nvar globalCssModule;\nexport function setGlobalCssModule(cssModule) {\n  globalCssModule = cssModule;\n}\nexport function mapToCssModules(className, cssModule) {\n  if (className === void 0) {\n    className = '';\n  }\n\n  if (cssModule === void 0) {\n    cssModule = globalCssModule;\n  }\n\n  if (!cssModule) return className;\n  return className.split(' ').map(function (c) {\n    return cssModule[c] || c;\n  }).join(' ');\n}\n/**\n * Returns a new object with the key/value pairs from `obj` that are not in the array `omitKeys`.\n */\n\nexport function omit(obj, omitKeys) {\n  var result = {};\n  Object.keys(obj).forEach(function (key) {\n    if (omitKeys.indexOf(key) === -1) {\n      result[key] = obj[key];\n    }\n  });\n  return result;\n}\n/**\n * Returns a filtered copy of an object with only the specified keys.\n */\n\nexport function pick(obj, keys) {\n  var pickKeys = Array.isArray(keys) ? keys : [keys];\n  var length = pickKeys.length;\n  var key;\n  var result = {};\n\n  while (length > 0) {\n    length -= 1;\n    key = pickKeys[length];\n    result[key] = obj[key];\n  }\n\n  return result;\n}\nvar warned = {};\nexport function warnOnce(message) {\n  if (!warned[message]) {\n    /* istanbul ignore else */\n    if (typeof console !== 'undefined') {\n      console.error(message); // eslint-disable-line no-console\n    }\n\n    warned[message] = true;\n  }\n}\nexport function deprecated(propType, explanation) {\n  return function validate(props, propName, componentName) {\n    if (props[propName] !== null && typeof props[propName] !== 'undefined') {\n      warnOnce(\"\\\"\" + propName + \"\\\" property of \\\"\" + componentName + \"\\\" has been deprecated.\\n\" + explanation);\n    }\n\n    for (var _len = arguments.length, rest = new Array(_len > 3 ? _len - 3 : 0), _key = 3; _key < _len; _key++) {\n      rest[_key - 3] = arguments[_key];\n    }\n\n    return propType.apply(void 0, [props, propName, componentName].concat(rest));\n  };\n}\nexport function DOMElement(props, propName, componentName) {\n  if (!(props[propName] instanceof Element)) {\n    return new Error('Invalid prop `' + propName + '` supplied to `' + componentName + '`. Expected prop to be an instance of Element. Validation failed.');\n  }\n}\nexport var targetPropType = PropTypes.oneOfType([PropTypes.string, PropTypes.func, DOMElement, PropTypes.shape({\n  current: PropTypes.any\n})]);\nexport var tagPropType = PropTypes.oneOfType([PropTypes.func, PropTypes.string, PropTypes.shape({\n  $$typeof: PropTypes.symbol,\n  render: PropTypes.func\n}), PropTypes.arrayOf(PropTypes.oneOfType([PropTypes.func, PropTypes.string, PropTypes.shape({\n  $$typeof: PropTypes.symbol,\n  render: PropTypes.func\n})]))]);\n/* eslint key-spacing: [\"error\", { afterColon: true, align: \"value\" }] */\n// These are all setup to match what is in the bootstrap _variables.scss\n// https://github.com/twbs/bootstrap/blob/v4-dev/scss/_variables.scss\n\nexport var TransitionTimeouts = {\n  Fade: 150,\n  // $transition-fade\n  Collapse: 350,\n  // $transition-collapse\n  Modal: 300,\n  // $modal-transition\n  Carousel: 600 // $carousel-transition\n\n}; // Duplicated Transition.propType keys to ensure that Reactstrap builds\n// for distribution properly exclude these keys for nested child HTML attributes\n// since `react-transition-group` removes propTypes in production builds.\n\nexport var TransitionPropTypeKeys = ['in', 'mountOnEnter', 'unmountOnExit', 'appear', 'enter', 'exit', 'timeout', 'onEnter', 'onEntering', 'onEntered', 'onExit', 'onExiting', 'onExited'];\nexport var TransitionStatuses = {\n  ENTERING: 'entering',\n  ENTERED: 'entered',\n  EXITING: 'exiting',\n  EXITED: 'exited'\n};\nexport var keyCodes = {\n  esc: 27,\n  space: 32,\n  enter: 13,\n  tab: 9,\n  up: 38,\n  down: 40,\n  home: 36,\n  end: 35,\n  n: 78,\n  p: 80\n};\nexport var PopperPlacements = ['auto-start', 'auto', 'auto-end', 'top-start', 'top', 'top-end', 'right-start', 'right', 'right-end', 'bottom-end', 'bottom', 'bottom-start', 'left-end', 'left', 'left-start'];\nexport var canUseDOM = !!(typeof window !== 'undefined' && window.document && window.document.createElement);\nexport function isReactRefObj(target) {\n  if (target && typeof target === 'object') {\n    return 'current' in target;\n  }\n\n  return false;\n}\nexport function findDOMElements(target) {\n  if (isReactRefObj(target)) {\n    return target.current;\n  }\n\n  if (isFunction(target)) {\n    return target();\n  }\n\n  if (typeof target === 'string' && canUseDOM) {\n    var selection = document.querySelectorAll(target);\n\n    if (!selection.length) {\n      selection = document.querySelectorAll(\"#\" + target);\n    }\n\n    if (!selection.length) {\n      throw new Error(\"The target '\" + target + \"' could not be identified in the dom, tip: check spelling\");\n    }\n\n    return selection;\n  }\n\n  return target;\n}\nexport function isArrayOrNodeList(els) {\n  if (els === null) {\n    return false;\n  }\n\n  return Array.isArray(els) || canUseDOM && typeof els.length === 'number';\n}\nexport function getTarget(target) {\n  var els = findDOMElements(target);\n\n  if (isArrayOrNodeList(els)) {\n    return els[0];\n  }\n\n  return els;\n}\nexport var defaultToggleEvents = ['touchstart', 'click'];\nexport function addMultipleEventListeners(_els, handler, _events, useCapture) {\n  var els = _els;\n\n  if (!isArrayOrNodeList(els)) {\n    els = [els];\n  }\n\n  var events = _events;\n\n  if (typeof events === 'string') {\n    events = events.split(/\\s+/);\n  }\n\n  if (!isArrayOrNodeList(els) || typeof handler !== 'function' || !Array.isArray(events)) {\n    throw new Error(\"\\n      The first argument of this function must be DOM node or an array on DOM nodes or NodeList.\\n      The second must be a function.\\n      The third is a string or an array of strings that represents DOM events\\n    \");\n  }\n\n  Array.prototype.forEach.call(events, function (event) {\n    Array.prototype.forEach.call(els, function (el) {\n      el.addEventListener(event, handler, useCapture);\n    });\n  });\n  return function removeEvents() {\n    Array.prototype.forEach.call(events, function (event) {\n      Array.prototype.forEach.call(els, function (el) {\n        el.removeEventListener(event, handler, useCapture);\n      });\n    });\n  };\n}\nexport var focusableElements = ['a[href]', 'area[href]', 'input:not([disabled]):not([type=hidden])', 'select:not([disabled])', 'textarea:not([disabled])', 'button:not([disabled])', 'object', 'embed', '[tabindex]:not(.modal)', 'audio[controls]', 'video[controls]', '[contenteditable]:not([contenteditable=\"false\"])'];","export default function _classCallCheck(instance, Constructor) {\n  if (!(instance instanceof Constructor)) {\n    throw new TypeError(\"Cannot call a class as a function\");\n  }\n}","/*!\n  Copyright (c) 2017 Jed Watson.\n  Licensed under the MIT License (MIT), see\n  http://jedwatson.github.io/classnames\n*/\n\n/* global define */\n(function () {\n  'use strict';\n\n  var hasOwn = {}.hasOwnProperty;\n\n  function classNames() {\n    var classes = [];\n\n    for (var i = 0; i < arguments.length; i++) {\n      var arg = arguments[i];\n      if (!arg) continue;\n      var argType = typeof arg;\n\n      if (argType === 'string' || argType === 'number') {\n        classes.push(arg);\n      } else if (Array.isArray(arg) && arg.length) {\n        var inner = classNames.apply(null, arg);\n\n        if (inner) {\n          classes.push(inner);\n        }\n      } else if (argType === 'object') {\n        for (var key in arg) {\n          if (hasOwn.call(arg, key) && arg[key]) {\n            classes.push(key);\n          }\n        }\n      }\n    }\n\n    return classes.join(' ');\n  }\n\n  if (typeof module !== 'undefined' && module.exports) {\n    classNames.default = classNames;\n    module.exports = classNames;\n  } else if (typeof define === 'function' && typeof define.amd === 'object' && define.amd) {\n    // register as 'classnames', consistent with npm package name\n    define('classnames', [], function () {\n      return classNames;\n    });\n  } else {\n    window.classNames = classNames;\n  }\n})();","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nvar __awaiter = this && this.__awaiter || function (thisArg, _arguments, P, generator) {\n  return new (P || (P = Promise))(function (resolve, reject) {\n    function fulfilled(value) {\n      try {\n        step(generator.next(value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function rejected(value) {\n      try {\n        step(generator[\"throw\"](value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function step(result) {\n      result.done ? resolve(result.value) : new P(function (resolve) {\n        resolve(result.value);\n      }).then(fulfilled, rejected);\n    }\n\n    step((generator = generator.apply(thisArg, _arguments || [])).next());\n  });\n};\n\nvar __generator = this && this.__generator || function (thisArg, body) {\n  var _ = {\n    label: 0,\n    sent: function sent() {\n      if (t[0] & 1) throw t[1];\n      return t[1];\n    },\n    trys: [],\n    ops: []\n  },\n      f,\n      y,\n      t,\n      g;\n  return g = {\n    next: verb(0),\n    \"throw\": verb(1),\n    \"return\": verb(2)\n  }, typeof Symbol === \"function\" && (g[Symbol.iterator] = function () {\n    return this;\n  }), g;\n\n  function verb(n) {\n    return function (v) {\n      return step([n, v]);\n    };\n  }\n\n  function step(op) {\n    if (f) throw new TypeError(\"Generator is already executing.\");\n\n    while (_) {\n      try {\n        if (f = 1, y && (t = op[0] & 2 ? y[\"return\"] : op[0] ? y[\"throw\"] || ((t = y[\"return\"]) && t.call(y), 0) : y.next) && !(t = t.call(y, op[1])).done) return t;\n        if (y = 0, t) op = [op[0] & 2, t.value];\n\n        switch (op[0]) {\n          case 0:\n          case 1:\n            t = op;\n            break;\n\n          case 4:\n            _.label++;\n            return {\n              value: op[1],\n              done: false\n            };\n\n          case 5:\n            _.label++;\n            y = op[1];\n            op = [0];\n            continue;\n\n          case 7:\n            op = _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n\n          default:\n            if (!(t = _.trys, t = t.length > 0 && t[t.length - 1]) && (op[0] === 6 || op[0] === 2)) {\n              _ = 0;\n              continue;\n            }\n\n            if (op[0] === 3 && (!t || op[1] > t[0] && op[1] < t[3])) {\n              _.label = op[1];\n              break;\n            }\n\n            if (op[0] === 6 && _.label < t[1]) {\n              _.label = t[1];\n              t = op;\n              break;\n            }\n\n            if (t && _.label < t[2]) {\n              _.label = t[2];\n\n              _.ops.push(op);\n\n              break;\n            }\n\n            if (t[2]) _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n        }\n\n        op = body.call(thisArg, _);\n      } catch (e) {\n        op = [6, e];\n        y = 0;\n      } finally {\n        f = t = 0;\n      }\n    }\n\n    if (op[0] & 5) throw op[1];\n    return {\n      value: op[0] ? op[1] : void 0,\n      done: true\n    };\n  }\n};\n\nimport { LogLevel } from \"./ILogger\";\nimport { NullLogger } from \"./Loggers\";\n/** @private */\n\nvar Arg =\n/** @class */\nfunction () {\n  function Arg() {}\n\n  Arg.isRequired = function (val, name) {\n    if (val === null || val === undefined) {\n      throw new Error(\"The '\" + name + \"' argument is required.\");\n    }\n  };\n\n  Arg.isIn = function (val, values, name) {\n    // TypeScript enums have keys for **both** the name and the value of each enum member on the type itself.\n    if (!(val in values)) {\n      throw new Error(\"Unknown \" + name + \" value: \" + val + \".\");\n    }\n  };\n\n  return Arg;\n}();\n\nexport { Arg };\n/** @private */\n\nexport function getDataDetail(data, includeContent) {\n  var detail = \"\";\n\n  if (isArrayBuffer(data)) {\n    detail = \"Binary data of length \" + data.byteLength;\n\n    if (includeContent) {\n      detail += \". Content: '\" + formatArrayBuffer(data) + \"'\";\n    }\n  } else if (typeof data === \"string\") {\n    detail = \"String data of length \" + data.length;\n\n    if (includeContent) {\n      detail += \". Content: '\" + data + \"'\";\n    }\n  }\n\n  return detail;\n}\n/** @private */\n\nexport function formatArrayBuffer(data) {\n  var view = new Uint8Array(data); // Uint8Array.map only supports returning another Uint8Array?\n\n  var str = \"\";\n  view.forEach(function (num) {\n    var pad = num < 16 ? \"0\" : \"\";\n    str += \"0x\" + pad + num.toString(16) + \" \";\n  }); // Trim of trailing space.\n\n  return str.substr(0, str.length - 1);\n} // Also in signalr-protocol-msgpack/Utils.ts\n\n/** @private */\n\nexport function isArrayBuffer(val) {\n  return val && typeof ArrayBuffer !== \"undefined\" && (val instanceof ArrayBuffer || // Sometimes we get an ArrayBuffer that doesn't satisfy instanceof\n  val.constructor && val.constructor.name === \"ArrayBuffer\");\n}\n/** @private */\n\nexport function sendMessage(logger, transportName, httpClient, url, accessTokenFactory, content, logMessageContent) {\n  return __awaiter(this, void 0, void 0, function () {\n    var _a, headers, token, responseType, response;\n\n    return __generator(this, function (_b) {\n      switch (_b.label) {\n        case 0:\n          if (!accessTokenFactory) return [3\n          /*break*/\n          , 2];\n          return [4\n          /*yield*/\n          , accessTokenFactory()];\n\n        case 1:\n          token = _b.sent();\n\n          if (token) {\n            headers = (_a = {}, _a[\"Authorization\"] = \"Bearer \" + token, _a);\n          }\n\n          _b.label = 2;\n\n        case 2:\n          logger.log(LogLevel.Trace, \"(\" + transportName + \" transport) sending data. \" + getDataDetail(content, logMessageContent) + \".\");\n          responseType = isArrayBuffer(content) ? \"arraybuffer\" : \"text\";\n          return [4\n          /*yield*/\n          , httpClient.post(url, {\n            content: content,\n            headers: headers,\n            responseType: responseType\n          })];\n\n        case 3:\n          response = _b.sent();\n          logger.log(LogLevel.Trace, \"(\" + transportName + \" transport) request complete. Response status: \" + response.statusCode + \".\");\n          return [2\n          /*return*/\n          ];\n      }\n    });\n  });\n}\n/** @private */\n\nexport function createLogger(logger) {\n  if (logger === undefined) {\n    return new ConsoleLogger(LogLevel.Information);\n  }\n\n  if (logger === null) {\n    return NullLogger.instance;\n  }\n\n  if (logger.log) {\n    return logger;\n  }\n\n  return new ConsoleLogger(logger);\n}\n/** @private */\n\nvar Subject =\n/** @class */\nfunction () {\n  function Subject(cancelCallback) {\n    this.observers = [];\n    this.cancelCallback = cancelCallback;\n  }\n\n  Subject.prototype.next = function (item) {\n    for (var _i = 0, _a = this.observers; _i < _a.length; _i++) {\n      var observer = _a[_i];\n      observer.next(item);\n    }\n  };\n\n  Subject.prototype.error = function (err) {\n    for (var _i = 0, _a = this.observers; _i < _a.length; _i++) {\n      var observer = _a[_i];\n\n      if (observer.error) {\n        observer.error(err);\n      }\n    }\n  };\n\n  Subject.prototype.complete = function () {\n    for (var _i = 0, _a = this.observers; _i < _a.length; _i++) {\n      var observer = _a[_i];\n\n      if (observer.complete) {\n        observer.complete();\n      }\n    }\n  };\n\n  Subject.prototype.subscribe = function (observer) {\n    this.observers.push(observer);\n    return new SubjectSubscription(this, observer);\n  };\n\n  return Subject;\n}();\n\nexport { Subject };\n/** @private */\n\nvar SubjectSubscription =\n/** @class */\nfunction () {\n  function SubjectSubscription(subject, observer) {\n    this.subject = subject;\n    this.observer = observer;\n  }\n\n  SubjectSubscription.prototype.dispose = function () {\n    var index = this.subject.observers.indexOf(this.observer);\n\n    if (index > -1) {\n      this.subject.observers.splice(index, 1);\n    }\n\n    if (this.subject.observers.length === 0) {\n      this.subject.cancelCallback().catch(function (_) {});\n    }\n  };\n\n  return SubjectSubscription;\n}();\n\nexport { SubjectSubscription };\n/** @private */\n\nvar ConsoleLogger =\n/** @class */\nfunction () {\n  function ConsoleLogger(minimumLogLevel) {\n    this.minimumLogLevel = minimumLogLevel;\n  }\n\n  ConsoleLogger.prototype.log = function (logLevel, message) {\n    if (logLevel >= this.minimumLogLevel) {\n      switch (logLevel) {\n        case LogLevel.Critical:\n        case LogLevel.Error:\n          console.error(\"[\" + new Date().toISOString() + \"] \" + LogLevel[logLevel] + \": \" + message);\n          break;\n\n        case LogLevel.Warning:\n          console.warn(\"[\" + new Date().toISOString() + \"] \" + LogLevel[logLevel] + \": \" + message);\n          break;\n\n        case LogLevel.Information:\n          console.info(\"[\" + new Date().toISOString() + \"] \" + LogLevel[logLevel] + \": \" + message);\n          break;\n\n        default:\n          // console.debug only goes to attached debuggers in Node, so we use console.log for Trace and Debug\n          console.log(\"[\" + new Date().toISOString() + \"] \" + LogLevel[logLevel] + \": \" + message);\n          break;\n      }\n    }\n  };\n\n  return ConsoleLogger;\n}();\n\nexport { ConsoleLogger };","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar isBigNumber = require('./bignumber/isBigNumber');\n/**\n * Clone an object\n *\n *     clone(x)\n *\n * Can clone any primitive type, array, and object.\n * If x has a function clone, this function will be invoked to clone the object.\n *\n * @param {*} x\n * @return {*} clone\n */\n\n\nexports.clone = function clone(x) {\n  var type = _typeof(x); // immutable primitive types\n\n\n  if (type === 'number' || type === 'string' || type === 'boolean' || x === null || x === undefined) {\n    return x;\n  } // use clone function of the object when available\n\n\n  if (typeof x.clone === 'function') {\n    return x.clone();\n  } // array\n\n\n  if (Array.isArray(x)) {\n    return x.map(function (value) {\n      return clone(value);\n    });\n  }\n\n  if (x instanceof Date) return new Date(x.valueOf());\n  if (isBigNumber(x)) return x; // bignumbers are immutable\n\n  if (x instanceof RegExp) throw new TypeError('Cannot clone ' + x); // TODO: clone a RegExp\n  // object\n\n  return exports.map(x, clone);\n};\n/**\n * Apply map to all properties of an object\n * @param {Object} object\n * @param {function} callback\n * @return {Object} Returns a copy of the object with mapped properties\n */\n\n\nexports.map = function (object, callback) {\n  var clone = {};\n\n  for (var key in object) {\n    if (exports.hasOwnProperty(object, key)) {\n      clone[key] = callback(object[key]);\n    }\n  }\n\n  return clone;\n};\n/**\n * Extend object a with the properties of object b\n * @param {Object} a\n * @param {Object} b\n * @return {Object} a\n */\n\n\nexports.extend = function (a, b) {\n  for (var prop in b) {\n    if (exports.hasOwnProperty(b, prop)) {\n      a[prop] = b[prop];\n    }\n  }\n\n  return a;\n};\n/**\n * Deep extend an object a with the properties of object b\n * @param {Object} a\n * @param {Object} b\n * @returns {Object}\n */\n\n\nexports.deepExtend = function deepExtend(a, b) {\n  // TODO: add support for Arrays to deepExtend\n  if (Array.isArray(b)) {\n    throw new TypeError('Arrays are not supported by deepExtend');\n  }\n\n  for (var prop in b) {\n    if (exports.hasOwnProperty(b, prop)) {\n      if (b[prop] && b[prop].constructor === Object) {\n        if (a[prop] === undefined) {\n          a[prop] = {};\n        }\n\n        if (a[prop].constructor === Object) {\n          deepExtend(a[prop], b[prop]);\n        } else {\n          a[prop] = b[prop];\n        }\n      } else if (Array.isArray(b[prop])) {\n        throw new TypeError('Arrays are not supported by deepExtend');\n      } else {\n        a[prop] = b[prop];\n      }\n    }\n  }\n\n  return a;\n};\n/**\n * Deep test equality of all fields in two pairs of arrays or objects.\n * @param {Array | Object} a\n * @param {Array | Object} b\n * @returns {boolean}\n */\n\n\nexports.deepEqual = function deepEqual(a, b) {\n  var prop, i, len;\n\n  if (Array.isArray(a)) {\n    if (!Array.isArray(b)) {\n      return false;\n    }\n\n    if (a.length !== b.length) {\n      return false;\n    }\n\n    for (i = 0, len = a.length; i < len; i++) {\n      if (!exports.deepEqual(a[i], b[i])) {\n        return false;\n      }\n    }\n\n    return true;\n  } else if (a instanceof Object) {\n    if (Array.isArray(b) || !(b instanceof Object)) {\n      return false;\n    }\n\n    for (prop in a) {\n      // noinspection JSUnfilteredForInLoop\n      if (!exports.deepEqual(a[prop], b[prop])) {\n        return false;\n      }\n    }\n\n    for (prop in b) {\n      // noinspection JSUnfilteredForInLoop\n      if (!exports.deepEqual(a[prop], b[prop])) {\n        return false;\n      }\n    }\n\n    return true;\n  } else {\n    return a === b;\n  }\n};\n/**\n * Test whether the current JavaScript engine supports Object.defineProperty\n * @returns {boolean} returns true if supported\n */\n\n\nexports.canDefineProperty = function () {\n  // test needed for broken IE8 implementation\n  try {\n    if (Object.defineProperty) {\n      Object.defineProperty({}, 'x', {\n        get: function get() {}\n      });\n      return true;\n    }\n  } catch (e) {}\n\n  return false;\n};\n/**\n * Attach a lazy loading property to a constant.\n * The given function `fn` is called once when the property is first requested.\n * On older browsers (<IE8), the function will fall back to direct evaluation\n * of the properties value.\n * @param {Object} object   Object where to add the property\n * @param {string} prop     Property name\n * @param {Function} fn     Function returning the property value. Called\n *                          without arguments.\n */\n\n\nexports.lazy = function (object, prop, fn) {\n  if (exports.canDefineProperty()) {\n    var _uninitialized = true;\n\n    var _value;\n\n    Object.defineProperty(object, prop, {\n      get: function get() {\n        if (_uninitialized) {\n          _value = fn();\n          _uninitialized = false;\n        }\n\n        return _value;\n      },\n      set: function set(value) {\n        _value = value;\n        _uninitialized = false;\n      },\n      configurable: true,\n      enumerable: true\n    });\n  } else {\n    // fall back to immediate evaluation\n    object[prop] = fn();\n  }\n};\n/**\n * Traverse a path into an object.\n * When a namespace is missing, it will be created\n * @param {Object} object\n * @param {string} path   A dot separated string like 'name.space'\n * @return {Object} Returns the object at the end of the path\n */\n\n\nexports.traverse = function (object, path) {\n  var obj = object;\n\n  if (path) {\n    var names = path.split('.');\n\n    for (var i = 0; i < names.length; i++) {\n      var name = names[i];\n\n      if (!(name in obj)) {\n        obj[name] = {};\n      }\n\n      obj = obj[name];\n    }\n  }\n\n  return obj;\n};\n/**\n * A safe hasOwnProperty\n * @param {Object} object\n * @param {string} property\n */\n\n\nexports.hasOwnProperty = function (object, property) {\n  return object && Object.hasOwnProperty.call(object, property);\n};\n/**\n * Test whether an object is a factory. a factory has fields:\n *\n * - factory: function (type: Object, config: Object, load: function, typed: function [, math: Object])   (required)\n * - name: string (optional)\n * - path: string    A dot separated path (optional)\n * - math: boolean   If true (false by default), the math namespace is passed\n *                   as fifth argument of the factory function\n *\n * @param {*} object\n * @returns {boolean}\n */\n\n\nexports.isFactory = function (object) {\n  return object && typeof object.factory === 'function';\n};","'use strict';\n\nvar clone = require('../../../utils/object').clone;\n\nfunction factory(type, config, load, typed) {\n  var DenseMatrix = type.DenseMatrix;\n  /**\n   * Iterates over DenseMatrix items and invokes the callback function f(Aij..z, b).\n   * Callback function invoked MxN times.\n   *\n   * C(i,j,...z) = f(Aij..z, b)\n   *\n   * @param {Matrix}   a                 The DenseMatrix instance (A)\n   * @param {Scalar}   b                 The Scalar value\n   * @param {Function} callback          The f(Aij..z,b) operation to invoke\n   * @param {boolean}  inverse           A true value indicates callback should be invoked f(b,Aij..z)\n   *\n   * @return {Matrix}                    DenseMatrix (C)\n   *\n   * https://github.com/josdejong/mathjs/pull/346#issuecomment-97659042\n   */\n\n  var algorithm14 = function algorithm14(a, b, callback, inverse) {\n    // a arrays\n    var adata = a._data;\n    var asize = a._size;\n    var adt = a._datatype; // datatype\n\n    var dt; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string') {\n      // datatype\n      dt = adt; // convert b to the same datatype\n\n      b = typed.convert(b, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // populate cdata, iterate through dimensions\n\n\n    var cdata = asize.length > 0 ? _iterate(cf, 0, asize, asize[0], adata, b, inverse) : []; // c matrix\n\n    return new DenseMatrix({\n      data: cdata,\n      size: clone(asize),\n      datatype: dt\n    });\n  }; // recursive function\n\n\n  function _iterate(f, level, s, n, av, bv, inverse) {\n    // initialize array for this level\n    var cv = []; // check we reach the last level\n\n    if (level === s.length - 1) {\n      // loop arrays in last level\n      for (var i = 0; i < n; i++) {\n        // invoke callback and store value\n        cv[i] = inverse ? f(bv, av[i]) : f(av[i], bv);\n      }\n    } else {\n      // iterate current level\n      for (var j = 0; j < n; j++) {\n        // iterate next level\n        cv[j] = _iterate(f, level + 1, s, s[level + 1], av[j], bv, inverse);\n      }\n    }\n\n    return cv;\n  }\n\n  return algorithm14;\n}\n\nexports.name = 'algorithm14';\nexports.factory = factory;","'use strict';\n\nvar DimensionError = require('../../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var DenseMatrix = type.DenseMatrix;\n  /**\n   * Iterates over DenseMatrix items and invokes the callback function f(Aij..z, Bij..z).\n   * Callback function invoked MxN times.\n   *\n   * C(i,j,...z) = f(Aij..z, Bij..z)\n   *\n   * @param {Matrix}   a                 The DenseMatrix instance (A)\n   * @param {Matrix}   b                 The DenseMatrix instance (B)\n   * @param {Function} callback          The f(Aij..z,Bij..z) operation to invoke\n   *\n   * @return {Matrix}                    DenseMatrix (C)\n   *\n   * https://github.com/josdejong/mathjs/pull/346#issuecomment-97658658\n   */\n\n  var algorithm13 = function algorithm13(a, b, callback) {\n    // a arrays\n    var adata = a._data;\n    var asize = a._size;\n    var adt = a._datatype; // b arrays\n\n    var bdata = b._data;\n    var bsize = b._size;\n    var bdt = b._datatype; // c arrays\n\n    var csize = []; // validate dimensions\n\n    if (asize.length !== bsize.length) {\n      throw new DimensionError(asize.length, bsize.length);\n    } // validate each one of the dimension sizes\n\n\n    for (var s = 0; s < asize.length; s++) {\n      // must match\n      if (asize[s] !== bsize[s]) {\n        throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')');\n      } // update dimension in c\n\n\n      csize[s] = asize[s];\n    } // datatype\n\n\n    var dt; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string' && adt === bdt) {\n      // datatype\n      dt = adt; // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // populate cdata, iterate through dimensions\n\n\n    var cdata = csize.length > 0 ? _iterate(cf, 0, csize, csize[0], adata, bdata) : []; // c matrix\n\n    return new DenseMatrix({\n      data: cdata,\n      size: csize,\n      datatype: dt\n    });\n  }; // recursive function\n\n\n  function _iterate(f, level, s, n, av, bv) {\n    // initialize array for this level\n    var cv = []; // check we reach the last level\n\n    if (level === s.length - 1) {\n      // loop arrays in last level\n      for (var i = 0; i < n; i++) {\n        // invoke callback and store value\n        cv[i] = f(av[i], bv[i]);\n      }\n    } else {\n      // iterate current level\n      for (var j = 0; j < n; j++) {\n        // iterate next level\n        cv[j] = _iterate(f, level + 1, s, s[level + 1], av[j], bv[j]);\n      }\n    }\n\n    return cv;\n  }\n\n  return algorithm13;\n}\n\nexports.name = 'algorithm13';\nexports.factory = factory;","function asyncGeneratorStep(gen, resolve, reject, _next, _throw, key, arg) {\n  try {\n    var info = gen[key](arg);\n    var value = info.value;\n  } catch (error) {\n    reject(error);\n    return;\n  }\n\n  if (info.done) {\n    resolve(value);\n  } else {\n    Promise.resolve(value).then(_next, _throw);\n  }\n}\n\nexport default function _asyncToGenerator(fn) {\n  return function () {\n    var self = this,\n        args = arguments;\n    return new Promise(function (resolve, reject) {\n      var gen = fn.apply(self, args);\n\n      function _next(value) {\n        asyncGeneratorStep(gen, resolve, reject, _next, _throw, \"next\", value);\n      }\n\n      function _throw(err) {\n        asyncGeneratorStep(gen, resolve, reject, _next, _throw, \"throw\", err);\n      }\n\n      _next(undefined);\n    });\n  };\n}","import { isObservableArray, isObservableObject, isObservableMap, untracked, createAtom, Reaction, _allowStateChanges, $mobx, spy, configure, getDebugName } from 'mobx';\nimport React__default, { Component, createElement, PureComponent, forwardRef, Children } from 'react';\nimport { findDOMNode, unstable_batchedUpdates } from 'react-dom';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nfunction _classCallCheck(instance, Constructor) {\n  if (!(instance instanceof Constructor)) {\n    throw new TypeError(\"Cannot call a class as a function\");\n  }\n}\n\nfunction _defineProperties(target, props) {\n  for (var i = 0; i < props.length; i++) {\n    var descriptor = props[i];\n    descriptor.enumerable = descriptor.enumerable || false;\n    descriptor.configurable = true;\n    if (\"value\" in descriptor) descriptor.writable = true;\n    Object.defineProperty(target, descriptor.key, descriptor);\n  }\n}\n\nfunction _createClass(Constructor, protoProps, staticProps) {\n  if (protoProps) _defineProperties(Constructor.prototype, protoProps);\n  if (staticProps) _defineProperties(Constructor, staticProps);\n  return Constructor;\n}\n\nfunction _defineProperty(obj, key, value) {\n  if (key in obj) {\n    Object.defineProperty(obj, key, {\n      value: value,\n      enumerable: true,\n      configurable: true,\n      writable: true\n    });\n  } else {\n    obj[key] = value;\n  }\n\n  return obj;\n}\n\nfunction _inherits(subClass, superClass) {\n  if (typeof superClass !== \"function\" && superClass !== null) {\n    throw new TypeError(\"Super expression must either be null or a function\");\n  }\n\n  subClass.prototype = Object.create(superClass && superClass.prototype, {\n    constructor: {\n      value: subClass,\n      writable: true,\n      configurable: true\n    }\n  });\n  if (superClass) _setPrototypeOf(subClass, superClass);\n}\n\nfunction _getPrototypeOf(o) {\n  _getPrototypeOf = Object.setPrototypeOf ? Object.getPrototypeOf : function _getPrototypeOf(o) {\n    return o.__proto__ || Object.getPrototypeOf(o);\n  };\n  return _getPrototypeOf(o);\n}\n\nfunction _setPrototypeOf(o, p) {\n  _setPrototypeOf = Object.setPrototypeOf || function _setPrototypeOf(o, p) {\n    o.__proto__ = p;\n    return o;\n  };\n\n  return _setPrototypeOf(o, p);\n}\n\nfunction _assertThisInitialized(self) {\n  if (self === void 0) {\n    throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n  }\n\n  return self;\n}\n\nfunction _possibleConstructorReturn(self, call) {\n  if (call && (typeof call === \"object\" || typeof call === \"function\")) {\n    return call;\n  }\n\n  return _assertThisInitialized(self);\n} // These functions can be stubbed out in specific environments\n\n\nfunction unwrapExports(x) {\n  return x && x.__esModule && Object.prototype.hasOwnProperty.call(x, 'default') ? x.default : x;\n}\n\nfunction createCommonjsModule(fn, module) {\n  return module = {\n    exports: {}\n  }, fn(module, module.exports), module.exports;\n}\n\nvar reactIs_production_min = createCommonjsModule(function (module, exports) {\n  Object.defineProperty(exports, \"__esModule\", {\n    value: !0\n  });\n  var b = \"function\" === typeof Symbol && Symbol.for,\n      c = b ? Symbol.for(\"react.element\") : 60103,\n      d = b ? Symbol.for(\"react.portal\") : 60106,\n      e = b ? Symbol.for(\"react.fragment\") : 60107,\n      f = b ? Symbol.for(\"react.strict_mode\") : 60108,\n      g = b ? Symbol.for(\"react.profiler\") : 60114,\n      h = b ? Symbol.for(\"react.provider\") : 60109,\n      k = b ? Symbol.for(\"react.context\") : 60110,\n      l = b ? Symbol.for(\"react.async_mode\") : 60111,\n      m = b ? Symbol.for(\"react.concurrent_mode\") : 60111,\n      n = b ? Symbol.for(\"react.forward_ref\") : 60112,\n      p = b ? Symbol.for(\"react.suspense\") : 60113,\n      r = b ? Symbol.for(\"react.memo\") : 60115,\n      t = b ? Symbol.for(\"react.lazy\") : 60116;\n\n  function u(a) {\n    if (\"object\" === typeof a && null !== a) {\n      var q = a.$$typeof;\n\n      switch (q) {\n        case c:\n          switch (a = a.type, a) {\n            case l:\n            case m:\n            case e:\n            case g:\n            case f:\n              return a;\n\n            default:\n              switch (a = a && a.$$typeof, a) {\n                case k:\n                case n:\n                case h:\n                  return a;\n\n                default:\n                  return q;\n              }\n\n          }\n\n        case d:\n          return q;\n      }\n    }\n  }\n\n  function v(a) {\n    return u(a) === m;\n  }\n\n  exports.typeOf = u;\n  exports.AsyncMode = l;\n  exports.ConcurrentMode = m;\n  exports.ContextConsumer = k;\n  exports.ContextProvider = h;\n  exports.Element = c;\n  exports.ForwardRef = n;\n  exports.Fragment = e;\n  exports.Profiler = g;\n  exports.Portal = d;\n  exports.StrictMode = f;\n\n  exports.isValidElementType = function (a) {\n    return \"string\" === typeof a || \"function\" === typeof a || a === e || a === m || a === g || a === f || a === p || \"object\" === typeof a && null !== a && (a.$$typeof === t || a.$$typeof === r || a.$$typeof === h || a.$$typeof === k || a.$$typeof === n);\n  };\n\n  exports.isAsyncMode = function (a) {\n    return v(a) || u(a) === l;\n  };\n\n  exports.isConcurrentMode = v;\n\n  exports.isContextConsumer = function (a) {\n    return u(a) === k;\n  };\n\n  exports.isContextProvider = function (a) {\n    return u(a) === h;\n  };\n\n  exports.isElement = function (a) {\n    return \"object\" === typeof a && null !== a && a.$$typeof === c;\n  };\n\n  exports.isForwardRef = function (a) {\n    return u(a) === n;\n  };\n\n  exports.isFragment = function (a) {\n    return u(a) === e;\n  };\n\n  exports.isProfiler = function (a) {\n    return u(a) === g;\n  };\n\n  exports.isPortal = function (a) {\n    return u(a) === d;\n  };\n\n  exports.isStrictMode = function (a) {\n    return u(a) === f;\n  };\n});\nunwrapExports(reactIs_production_min);\nvar reactIs_production_min_1 = reactIs_production_min.typeOf;\nvar reactIs_production_min_2 = reactIs_production_min.AsyncMode;\nvar reactIs_production_min_3 = reactIs_production_min.ConcurrentMode;\nvar reactIs_production_min_4 = reactIs_production_min.ContextConsumer;\nvar reactIs_production_min_5 = reactIs_production_min.ContextProvider;\nvar reactIs_production_min_6 = reactIs_production_min.Element;\nvar reactIs_production_min_7 = reactIs_production_min.ForwardRef;\nvar reactIs_production_min_8 = reactIs_production_min.Fragment;\nvar reactIs_production_min_9 = reactIs_production_min.Profiler;\nvar reactIs_production_min_10 = reactIs_production_min.Portal;\nvar reactIs_production_min_11 = reactIs_production_min.StrictMode;\nvar reactIs_production_min_12 = reactIs_production_min.isValidElementType;\nvar reactIs_production_min_13 = reactIs_production_min.isAsyncMode;\nvar reactIs_production_min_14 = reactIs_production_min.isConcurrentMode;\nvar reactIs_production_min_15 = reactIs_production_min.isContextConsumer;\nvar reactIs_production_min_16 = reactIs_production_min.isContextProvider;\nvar reactIs_production_min_17 = reactIs_production_min.isElement;\nvar reactIs_production_min_18 = reactIs_production_min.isForwardRef;\nvar reactIs_production_min_19 = reactIs_production_min.isFragment;\nvar reactIs_production_min_20 = reactIs_production_min.isProfiler;\nvar reactIs_production_min_21 = reactIs_production_min.isPortal;\nvar reactIs_production_min_22 = reactIs_production_min.isStrictMode;\nvar reactIs = createCommonjsModule(function (module) {\n  {\n    module.exports = reactIs_production_min;\n  }\n});\n/**\n * Copyright 2015, Yahoo! Inc.\n * Copyrights licensed under the New BSD License. See the accompanying LICENSE file for terms.\n */\n\nvar REACT_STATICS = {\n  childContextTypes: true,\n  contextType: true,\n  contextTypes: true,\n  defaultProps: true,\n  displayName: true,\n  getDefaultProps: true,\n  getDerivedStateFromError: true,\n  getDerivedStateFromProps: true,\n  mixins: true,\n  propTypes: true,\n  type: true\n};\nvar KNOWN_STATICS = {\n  name: true,\n  length: true,\n  prototype: true,\n  caller: true,\n  callee: true,\n  arguments: true,\n  arity: true\n};\nvar FORWARD_REF_STATICS = {\n  '$$typeof': true,\n  render: true,\n  defaultProps: true,\n  displayName: true,\n  propTypes: true\n};\nvar TYPE_STATICS = {};\nTYPE_STATICS[reactIs.ForwardRef] = FORWARD_REF_STATICS;\nvar defineProperty = Object.defineProperty;\nvar getOwnPropertyNames = Object.getOwnPropertyNames;\nvar getOwnPropertySymbols = Object.getOwnPropertySymbols;\nvar getOwnPropertyDescriptor = Object.getOwnPropertyDescriptor;\nvar getPrototypeOf = Object.getPrototypeOf;\nvar objectPrototype = Object.prototype;\n\nfunction hoistNonReactStatics(targetComponent, sourceComponent, blacklist) {\n  if (typeof sourceComponent !== 'string') {\n    // don't hoist over string (html) components\n    if (objectPrototype) {\n      var inheritedComponent = getPrototypeOf(sourceComponent);\n\n      if (inheritedComponent && inheritedComponent !== objectPrototype) {\n        hoistNonReactStatics(targetComponent, inheritedComponent, blacklist);\n      }\n    }\n\n    var keys = getOwnPropertyNames(sourceComponent);\n\n    if (getOwnPropertySymbols) {\n      keys = keys.concat(getOwnPropertySymbols(sourceComponent));\n    }\n\n    var targetStatics = TYPE_STATICS[targetComponent['$$typeof']] || REACT_STATICS;\n    var sourceStatics = TYPE_STATICS[sourceComponent['$$typeof']] || REACT_STATICS;\n\n    for (var i = 0; i < keys.length; ++i) {\n      var key = keys[i];\n\n      if (!KNOWN_STATICS[key] && !(blacklist && blacklist[key]) && !(sourceStatics && sourceStatics[key]) && !(targetStatics && targetStatics[key])) {\n        var descriptor = getOwnPropertyDescriptor(sourceComponent, key);\n\n        try {\n          // Avoid failures from read-only properties\n          defineProperty(targetComponent, key, descriptor);\n        } catch (e) {}\n      }\n    }\n\n    return targetComponent;\n  }\n\n  return targetComponent;\n}\n\nvar hoistNonReactStatics_cjs = hoistNonReactStatics;\n\nvar EventEmitter =\n/*#__PURE__*/\nfunction () {\n  function EventEmitter() {\n    _classCallCheck(this, EventEmitter);\n\n    this.listeners = [];\n  }\n\n  _createClass(EventEmitter, [{\n    key: \"on\",\n    value: function on(cb) {\n      var _this = this;\n\n      this.listeners.push(cb);\n      return function () {\n        var index = _this.listeners.indexOf(cb);\n\n        if (index !== -1) _this.listeners.splice(index, 1);\n      };\n    }\n  }, {\n    key: \"emit\",\n    value: function emit(data) {\n      this.listeners.forEach(function (fn) {\n        return fn(data);\n      });\n    }\n  }]);\n\n  return EventEmitter;\n}();\n\nfunction createChainableTypeChecker(validate) {\n  function checkType(isRequired, props, propName, componentName, location, propFullName) {\n    for (var _len = arguments.length, rest = new Array(_len > 6 ? _len - 6 : 0), _key = 6; _key < _len; _key++) {\n      rest[_key - 6] = arguments[_key];\n    }\n\n    return untracked(function () {\n      componentName = componentName || \"<<anonymous>>\";\n      propFullName = propFullName || propName;\n\n      if (props[propName] == null) {\n        if (isRequired) {\n          var actual = props[propName] === null ? \"null\" : \"undefined\";\n          return new Error(\"The \" + location + \" `\" + propFullName + \"` is marked as required \" + \"in `\" + componentName + \"`, but its value is `\" + actual + \"`.\");\n        }\n\n        return null;\n      } else {\n        return validate.apply(void 0, [props, propName, componentName, location, propFullName].concat(rest));\n      }\n    });\n  }\n\n  var chainedCheckType = checkType.bind(null, false);\n  chainedCheckType.isRequired = checkType.bind(null, true);\n  return chainedCheckType;\n} // Copied from React.PropTypes\n\n\nfunction isSymbol(propType, propValue) {\n  // Native Symbol.\n  if (propType === \"symbol\") {\n    return true;\n  } // 19.4.3.5 Symbol.prototype[@@toStringTag] === 'Symbol'\n\n\n  if (propValue[\"@@toStringTag\"] === \"Symbol\") {\n    return true;\n  } // Fallback for non-spec compliant Symbols which are polyfilled.\n\n\n  if (typeof Symbol === \"function\" && propValue instanceof Symbol) {\n    return true;\n  }\n\n  return false;\n} // Copied from React.PropTypes\n\n\nfunction getPropType(propValue) {\n  var propType = _typeof(propValue);\n\n  if (Array.isArray(propValue)) {\n    return \"array\";\n  }\n\n  if (propValue instanceof RegExp) {\n    // Old webkits (at least until Android 4.0) return 'function' rather than\n    // 'object' for typeof a RegExp. We'll normalize this here so that /bla/\n    // passes PropTypes.object.\n    return \"object\";\n  }\n\n  if (isSymbol(propType, propValue)) {\n    return \"symbol\";\n  }\n\n  return propType;\n} // This handles more types than `getPropType`. Only used for error messages.\n// Copied from React.PropTypes\n\n\nfunction getPreciseType(propValue) {\n  var propType = getPropType(propValue);\n\n  if (propType === \"object\") {\n    if (propValue instanceof Date) {\n      return \"date\";\n    } else if (propValue instanceof RegExp) {\n      return \"regexp\";\n    }\n  }\n\n  return propType;\n}\n\nfunction createObservableTypeCheckerCreator(allowNativeType, mobxType) {\n  return createChainableTypeChecker(function (props, propName, componentName, location, propFullName) {\n    return untracked(function () {\n      if (allowNativeType) {\n        if (getPropType(props[propName]) === mobxType.toLowerCase()) return null;\n      }\n\n      var mobxChecker;\n\n      switch (mobxType) {\n        case \"Array\":\n          mobxChecker = isObservableArray;\n          break;\n\n        case \"Object\":\n          mobxChecker = isObservableObject;\n          break;\n\n        case \"Map\":\n          mobxChecker = isObservableMap;\n          break;\n\n        default:\n          throw new Error(\"Unexpected mobxType: \".concat(mobxType));\n      }\n\n      var propValue = props[propName];\n\n      if (!mobxChecker(propValue)) {\n        var preciseType = getPreciseType(propValue);\n        var nativeTypeExpectationMessage = allowNativeType ? \" or javascript `\" + mobxType.toLowerCase() + \"`\" : \"\";\n        return new Error(\"Invalid prop `\" + propFullName + \"` of type `\" + preciseType + \"` supplied to\" + \" `\" + componentName + \"`, expected `mobx.Observable\" + mobxType + \"`\" + nativeTypeExpectationMessage + \".\");\n      }\n\n      return null;\n    });\n  });\n}\n\nfunction createObservableArrayOfTypeChecker(allowNativeType, typeChecker) {\n  return createChainableTypeChecker(function (props, propName, componentName, location, propFullName) {\n    for (var _len2 = arguments.length, rest = new Array(_len2 > 5 ? _len2 - 5 : 0), _key2 = 5; _key2 < _len2; _key2++) {\n      rest[_key2 - 5] = arguments[_key2];\n    }\n\n    return untracked(function () {\n      if (typeof typeChecker !== \"function\") {\n        return new Error(\"Property `\" + propFullName + \"` of component `\" + componentName + \"` has \" + \"invalid PropType notation.\");\n      }\n\n      var error = createObservableTypeCheckerCreator(allowNativeType, \"Array\")(props, propName, componentName);\n      if (error instanceof Error) return error;\n      var propValue = props[propName];\n\n      for (var i = 0; i < propValue.length; i++) {\n        error = typeChecker.apply(void 0, [propValue, i, componentName, location, propFullName + \"[\" + i + \"]\"].concat(rest));\n        if (error instanceof Error) return error;\n      }\n\n      return null;\n    });\n  });\n}\n\nvar observableArray = createObservableTypeCheckerCreator(false, \"Array\");\nvar observableArrayOf = createObservableArrayOfTypeChecker.bind(null, false);\nvar observableMap = createObservableTypeCheckerCreator(false, \"Map\");\nvar observableObject = createObservableTypeCheckerCreator(false, \"Object\");\nvar arrayOrObservableArray = createObservableTypeCheckerCreator(true, \"Array\");\nvar arrayOrObservableArrayOf = createObservableArrayOfTypeChecker.bind(null, true);\nvar objectOrObservableObject = createObservableTypeCheckerCreator(true, \"Object\");\nvar propTypes =\n/*#__PURE__*/\nObject.freeze({\n  observableArray: observableArray,\n  observableArrayOf: observableArrayOf,\n  observableMap: observableMap,\n  observableObject: observableObject,\n  arrayOrObservableArray: arrayOrObservableArray,\n  arrayOrObservableArrayOf: arrayOrObservableArrayOf,\n  objectOrObservableObject: objectOrObservableObject\n});\n\nfunction isStateless(component) {\n  // `function() {}` has prototype, but `() => {}` doesn't\n  // `() => {}` via Babel has prototype too.\n  return !(component.prototype && component.prototype.render);\n}\n\nvar symbolId = 0;\n\nfunction newSymbol(name) {\n  if (typeof Symbol === \"function\") {\n    return Symbol(name);\n  }\n\n  var symbol = \"__$mobx-react \".concat(name, \" (\").concat(symbolId, \")\");\n  symbolId++;\n  return symbol;\n}\n\nvar mobxMixins = newSymbol(\"patchMixins\");\nvar mobxPatchedDefinition = newSymbol(\"patchedDefinition\");\n\nfunction getMixins(target, methodName) {\n  var mixins = target[mobxMixins] = target[mobxMixins] || {};\n  var methodMixins = mixins[methodName] = mixins[methodName] || {};\n  methodMixins.locks = methodMixins.locks || 0;\n  methodMixins.methods = methodMixins.methods || [];\n  return methodMixins;\n}\n\nfunction wrapper(realMethod, mixins) {\n  var _this = this;\n\n  for (var _len = arguments.length, args = new Array(_len > 2 ? _len - 2 : 0), _key = 2; _key < _len; _key++) {\n    args[_key - 2] = arguments[_key];\n  } // locks are used to ensure that mixins are invoked only once per invocation, even on recursive calls\n\n\n  mixins.locks++;\n\n  try {\n    var retVal;\n\n    if (realMethod !== undefined && realMethod !== null) {\n      retVal = realMethod.apply(this, args);\n    }\n\n    return retVal;\n  } finally {\n    mixins.locks--;\n\n    if (mixins.locks === 0) {\n      mixins.methods.forEach(function (mx) {\n        mx.apply(_this, args);\n      });\n    }\n  }\n}\n\nfunction wrapFunction(realMethod, mixins) {\n  var fn = function fn() {\n    for (var _len2 = arguments.length, args = new Array(_len2), _key2 = 0; _key2 < _len2; _key2++) {\n      args[_key2] = arguments[_key2];\n    }\n\n    wrapper.call.apply(wrapper, [this, realMethod, mixins].concat(args));\n  };\n\n  return fn;\n}\n\nfunction patch(target, methodName) {\n  var mixins = getMixins(target, methodName);\n\n  for (var _len3 = arguments.length, mixinMethods = new Array(_len3 > 2 ? _len3 - 2 : 0), _key3 = 2; _key3 < _len3; _key3++) {\n    mixinMethods[_key3 - 2] = arguments[_key3];\n  }\n\n  for (var _i = 0; _i < mixinMethods.length; _i++) {\n    var mixinMethod = mixinMethods[_i];\n\n    if (mixins.methods.indexOf(mixinMethod) < 0) {\n      mixins.methods.push(mixinMethod);\n    }\n  }\n\n  var oldDefinition = Object.getOwnPropertyDescriptor(target, methodName);\n\n  if (oldDefinition && oldDefinition[mobxPatchedDefinition]) {\n    // already patched definition, do not repatch\n    return;\n  }\n\n  var originalMethod = target[methodName];\n  var newDefinition = createDefinition(target, methodName, oldDefinition ? oldDefinition.enumerable : undefined, mixins, originalMethod);\n  Object.defineProperty(target, methodName, newDefinition);\n}\n\nfunction createDefinition(target, methodName, enumerable, mixins, originalMethod) {\n  var _ref;\n\n  var wrappedFunc = wrapFunction(originalMethod, mixins);\n  return _ref = {}, _defineProperty(_ref, mobxPatchedDefinition, true), _defineProperty(_ref, \"get\", function get() {\n    return wrappedFunc;\n  }), _defineProperty(_ref, \"set\", function set(value) {\n    if (this === target) {\n      wrappedFunc = wrapFunction(value, mixins);\n    } else {\n      // when it is an instance of the prototype/a child prototype patch that particular case again separately\n      // since we need to store separate values depending on wether it is the actual instance, the prototype, etc\n      // e.g. the method for super might not be the same as the method for the prototype which might be not the same\n      // as the method for the instance\n      var newDefinition = createDefinition(this, methodName, enumerable, mixins, value);\n      Object.defineProperty(this, methodName, newDefinition);\n    }\n  }), _defineProperty(_ref, \"configurable\", true), _defineProperty(_ref, \"enumerable\", enumerable), _ref;\n}\n\nvar injectorContextTypes = {\n  mobxStores: objectOrObservableObject\n};\nObject.seal(injectorContextTypes);\nvar proxiedInjectorProps = {\n  contextTypes: {\n    get: function get() {\n      return injectorContextTypes;\n    },\n    set: function set(_) {\n      console.warn(\"Mobx Injector: you are trying to attach `contextTypes` on an component decorated with `inject` (or `observer`) HOC. Please specify the contextTypes on the wrapped component instead. It is accessible through the `wrappedComponent`\");\n    },\n    configurable: true,\n    enumerable: false\n  },\n  isMobxInjector: {\n    value: true,\n    writable: true,\n    configurable: true,\n    enumerable: true\n    /**\r\n     * Store Injection\r\n     */\n\n  }\n};\n\nfunction createStoreInjector(grabStoresFn, component, injectNames) {\n  var displayName = \"inject-\" + (component.displayName || component.name || component.constructor && component.constructor.name || \"Unknown\");\n  if (injectNames) displayName += \"-with-\" + injectNames;\n\n  var Injector =\n  /*#__PURE__*/\n  function (_Component) {\n    _inherits(Injector, _Component);\n\n    function Injector() {\n      var _getPrototypeOf2;\n\n      var _this;\n\n      _classCallCheck(this, Injector);\n\n      for (var _len = arguments.length, args = new Array(_len), _key = 0; _key < _len; _key++) {\n        args[_key] = arguments[_key];\n      }\n\n      _this = _possibleConstructorReturn(this, (_getPrototypeOf2 = _getPrototypeOf(Injector)).call.apply(_getPrototypeOf2, [this].concat(args)));\n\n      _this.storeRef = function (instance) {\n        _this.wrappedInstance = instance;\n      };\n\n      return _this;\n    }\n\n    _createClass(Injector, [{\n      key: \"render\",\n      value: function render() {\n        // Optimization: it might be more efficient to apply the mapper function *outside* the render method\n        // (if the mapper is a function), that could avoid expensive(?) re-rendering of the injector component\n        // See this test: 'using a custom injector is not too reactive' in inject.js\n        var newProps = {};\n\n        for (var key in this.props) {\n          if (this.props.hasOwnProperty(key)) {\n            newProps[key] = this.props[key];\n          }\n        }\n\n        var additionalProps = grabStoresFn(this.context.mobxStores || {}, newProps, this.context) || {};\n\n        for (var _key2 in additionalProps) {\n          newProps[_key2] = additionalProps[_key2];\n        }\n\n        if (!isStateless(component)) {\n          newProps.ref = this.storeRef;\n        }\n\n        return createElement(component, newProps);\n      }\n    }]);\n\n    return Injector;\n  }(Component); // Static fields from component should be visible on the generated Injector\n\n\n  Injector.displayName = displayName;\n  hoistNonReactStatics_cjs(Injector, component);\n  Injector.wrappedComponent = component;\n  Object.defineProperties(Injector, proxiedInjectorProps);\n  return Injector;\n}\n\nfunction grabStoresByName(storeNames) {\n  return function (baseStores, nextProps) {\n    storeNames.forEach(function (storeName) {\n      if (storeName in nextProps // prefer props over stores\n      ) return;\n      if (!(storeName in baseStores)) throw new Error(\"MobX injector: Store '\" + storeName + \"' is not available! Make sure it is provided by some Provider\");\n      nextProps[storeName] = baseStores[storeName];\n    });\n    return nextProps;\n  };\n}\n/**\r\n * higher order component that injects stores to a child.\r\n * takes either a varargs list of strings, which are stores read from the context,\r\n * or a function that manually maps the available stores from the context to props:\r\n * storesToProps(mobxStores, props, context) => newProps\r\n */\n\n\nfunction inject()\n/* fn(stores, nextProps) or ...storeNames */\n{\n  var grabStoresFn;\n\n  if (typeof arguments[0] === \"function\") {\n    grabStoresFn = arguments[0];\n    return function (componentClass) {\n      var injected = createStoreInjector(grabStoresFn, componentClass);\n      injected.isMobxInjector = false; // supress warning\n      // mark the Injector as observer, to make it react to expressions in `grabStoresFn`,\n      // see #111\n\n      injected = observer(injected);\n      injected.isMobxInjector = true; // restore warning\n\n      return injected;\n    };\n  } else {\n    var storeNames = [];\n\n    for (var i = 0; i < arguments.length; i++) {\n      storeNames[i] = arguments[i];\n    }\n\n    grabStoresFn = grabStoresByName(storeNames);\n    return function (componentClass) {\n      return createStoreInjector(grabStoresFn, componentClass, storeNames.join(\"-\"));\n    };\n  }\n}\n\nvar mobxAdminProperty = $mobx || \"$mobx\";\nvar mobxIsUnmounted = newSymbol(\"isUnmounted\");\n/**\r\n * dev tool support\r\n */\n\nvar isDevtoolsEnabled = false;\nvar isUsingStaticRendering = false;\nvar warnedAboutObserverInjectDeprecation = false; // WeakMap<Node, Object>;\n\nvar componentByNodeRegistry = typeof WeakMap !== \"undefined\" ? new WeakMap() : undefined;\nvar renderReporter = new EventEmitter();\nvar skipRenderKey = newSymbol(\"skipRender\");\nvar isForcingUpdateKey = newSymbol(\"isForcingUpdate\"); // Using react-is had some issues (and operates on elements, not on types), see #608 / #609\n\nvar ReactForwardRefSymbol = typeof forwardRef === \"function\" && forwardRef(function (_props, _ref) {})[\"$$typeof\"];\n/**\r\n * Helper to set `prop` to `this` as non-enumerable (hidden prop)\r\n * @param target\r\n * @param prop\r\n * @param value\r\n */\n\nfunction setHiddenProp(target, prop, value) {\n  if (!Object.hasOwnProperty.call(target, prop)) {\n    Object.defineProperty(target, prop, {\n      enumerable: false,\n      configurable: true,\n      writable: true,\n      value: value\n    });\n  } else {\n    target[prop] = value;\n  }\n}\n\nfunction findDOMNode$2(component) {\n  if (findDOMNode) {\n    try {\n      return findDOMNode(component);\n    } catch (e) {\n      // findDOMNode will throw in react-test-renderer, see:\n      // See https://github.com/mobxjs/mobx-react/issues/216\n      // Is there a better heuristic?\n      return null;\n    }\n  }\n\n  return null;\n}\n\nfunction reportRendering(component) {\n  var node = findDOMNode$2(component);\n  if (node && componentByNodeRegistry) componentByNodeRegistry.set(node, component);\n  renderReporter.emit({\n    event: \"render\",\n    renderTime: component.__$mobRenderEnd - component.__$mobRenderStart,\n    totalTime: Date.now() - component.__$mobRenderStart,\n    component: component,\n    node: node\n  });\n}\n\nfunction trackComponents() {\n  if (typeof WeakMap === \"undefined\") throw new Error(\"[mobx-react] tracking components is not supported in this browser.\");\n  if (!isDevtoolsEnabled) isDevtoolsEnabled = true;\n}\n\nfunction useStaticRendering(useStaticRendering) {\n  isUsingStaticRendering = useStaticRendering;\n}\n/**\r\n * Errors reporter\r\n */\n\n\nvar errorsReporter = new EventEmitter();\n/**\r\n * Utilities\r\n */\n\nfunction patch$1(target, funcName) {\n  patch(target, funcName, reactiveMixin[funcName]);\n}\n\nfunction shallowEqual(objA, objB) {\n  //From: https://github.com/facebook/fbjs/blob/c69904a511b900266935168223063dd8772dfc40/packages/fbjs/src/core/shallowEqual.js\n  if (is(objA, objB)) return true;\n\n  if (_typeof(objA) !== \"object\" || objA === null || _typeof(objB) !== \"object\" || objB === null) {\n    return false;\n  }\n\n  var keysA = Object.keys(objA);\n  var keysB = Object.keys(objB);\n  if (keysA.length !== keysB.length) return false;\n\n  for (var i = 0; i < keysA.length; i++) {\n    if (!hasOwnProperty.call(objB, keysA[i]) || !is(objA[keysA[i]], objB[keysA[i]])) {\n      return false;\n    }\n  }\n\n  return true;\n}\n\nfunction is(x, y) {\n  // From: https://github.com/facebook/fbjs/blob/c69904a511b900266935168223063dd8772dfc40/packages/fbjs/src/core/shallowEqual.js\n  if (x === y) {\n    return x !== 0 || 1 / x === 1 / y;\n  } else {\n    return x !== x && y !== y;\n  }\n}\n\nfunction makeComponentReactive(render) {\n  var _this2 = this;\n\n  if (isUsingStaticRendering === true) return render.call(this);\n\n  function reactiveRender() {\n    var _this = this;\n\n    isRenderingPending = false;\n    var exception = undefined;\n    var rendering = undefined;\n    reaction.track(function () {\n      if (isDevtoolsEnabled) {\n        _this.__$mobRenderStart = Date.now();\n      }\n\n      try {\n        rendering = _allowStateChanges(false, baseRender);\n      } catch (e) {\n        exception = e;\n      }\n\n      if (isDevtoolsEnabled) {\n        _this.__$mobRenderEnd = Date.now();\n      }\n    });\n\n    if (exception) {\n      errorsReporter.emit(exception);\n      throw exception;\n    }\n\n    return rendering;\n  } // Generate friendly name for debugging\n\n\n  var initialName = this.displayName || this.name || this.constructor && (this.constructor.displayName || this.constructor.name) || \"<component>\";\n  var rootNodeID = this._reactInternalInstance && this._reactInternalInstance._rootNodeID || this._reactInternalInstance && this._reactInternalInstance._debugID || this._reactInternalFiber && this._reactInternalFiber._debugID;\n  /**\r\n   * If props are shallowly modified, react will render anyway,\r\n   * so atom.reportChanged() should not result in yet another re-render\r\n   */\n\n  setHiddenProp(this, skipRenderKey, false);\n  /**\r\n   * forceUpdate will re-assign this.props. We don't want that to cause a loop,\r\n   * so detect these changes\r\n   */\n\n  setHiddenProp(this, isForcingUpdateKey, false); // wire up reactive render\n\n  var baseRender = render.bind(this);\n  var isRenderingPending = false;\n  var reaction = new Reaction(\"\".concat(initialName, \"#\").concat(rootNodeID, \".render()\"), function () {\n    if (!isRenderingPending) {\n      // N.B. Getting here *before mounting* means that a component constructor has side effects (see the relevant test in misc.js)\n      // This unidiomatic React usage but React will correctly warn about this so we continue as usual\n      // See #85 / Pull #44\n      isRenderingPending = true;\n      if (typeof _this2.componentWillReact === \"function\") _this2.componentWillReact(); // TODO: wrap in action?\n\n      if (_this2[mobxIsUnmounted] !== true) {\n        // If we are unmounted at this point, componentWillReact() had a side effect causing the component to unmounted\n        // TODO: remove this check? Then react will properly warn about the fact that this should not happen? See #73\n        // However, people also claim this might happen during unit tests..\n        var hasError = true;\n\n        try {\n          setHiddenProp(_this2, isForcingUpdateKey, true);\n          if (!_this2[skipRenderKey]) Component.prototype.forceUpdate.call(_this2);\n          hasError = false;\n        } finally {\n          setHiddenProp(_this2, isForcingUpdateKey, false);\n          if (hasError) reaction.dispose();\n        }\n      }\n    }\n  });\n  reaction.reactComponent = this;\n  reactiveRender[mobxAdminProperty] = reaction;\n  this.render = reactiveRender;\n  return reactiveRender.call(this);\n}\n/**\r\n * ReactiveMixin\r\n */\n\n\nvar reactiveMixin = {\n  componentWillUnmount: function componentWillUnmount() {\n    if (isUsingStaticRendering === true) return;\n    this.render[mobxAdminProperty] && this.render[mobxAdminProperty].dispose();\n    this[mobxIsUnmounted] = true;\n\n    if (isDevtoolsEnabled) {\n      var node = findDOMNode$2(this);\n\n      if (node && componentByNodeRegistry) {\n        componentByNodeRegistry.delete(node);\n      }\n\n      renderReporter.emit({\n        event: \"destroy\",\n        component: this,\n        node: node\n      });\n    }\n  },\n  componentDidMount: function componentDidMount() {\n    if (isDevtoolsEnabled) {\n      reportRendering(this);\n    }\n  },\n  componentDidUpdate: function componentDidUpdate() {\n    if (isDevtoolsEnabled) {\n      reportRendering(this);\n    }\n  },\n  shouldComponentUpdate: function shouldComponentUpdate(nextProps, nextState) {\n    if (isUsingStaticRendering) {\n      console.warn(\"[mobx-react] It seems that a re-rendering of a React component is triggered while in static (server-side) mode. Please make sure components are rendered only once server-side.\");\n    } // update on any state changes (as is the default)\n\n\n    if (this.state !== nextState) {\n      return true;\n    } // update if props are shallowly not equal, inspired by PureRenderMixin\n    // we could return just 'false' here, and avoid the `skipRender` checks etc\n    // however, it is nicer if lifecycle events are triggered like usually,\n    // so we return true here if props are shallowly modified.\n\n\n    return !shallowEqual(this.props, nextProps);\n  }\n};\n\nfunction makeObservableProp(target, propName) {\n  var valueHolderKey = newSymbol(\"reactProp_\".concat(propName, \"_valueHolder\"));\n  var atomHolderKey = newSymbol(\"reactProp_\".concat(propName, \"_atomHolder\"));\n\n  function getAtom() {\n    if (!this[atomHolderKey]) {\n      setHiddenProp(this, atomHolderKey, createAtom(\"reactive \" + propName));\n    }\n\n    return this[atomHolderKey];\n  }\n\n  Object.defineProperty(target, propName, {\n    configurable: true,\n    enumerable: true,\n    get: function get() {\n      getAtom.call(this).reportObserved();\n      return this[valueHolderKey];\n    },\n    set: function set(v) {\n      if (!this[isForcingUpdateKey] && !shallowEqual(this[valueHolderKey], v)) {\n        setHiddenProp(this, valueHolderKey, v);\n        setHiddenProp(this, skipRenderKey, true);\n        getAtom.call(this).reportChanged();\n        setHiddenProp(this, skipRenderKey, false);\n      } else {\n        setHiddenProp(this, valueHolderKey, v);\n      }\n    }\n  });\n}\n/**\r\n * Observer function / decorator\r\n */\n\n\nfunction observer(arg1, arg2) {\n  if (typeof arg1 === \"string\") {\n    throw new Error(\"Store names should be provided as array\");\n  }\n\n  if (Array.isArray(arg1)) {\n    // TODO: remove in next major\n    // component needs stores\n    if (!warnedAboutObserverInjectDeprecation) {\n      warnedAboutObserverInjectDeprecation = true;\n      console.warn('Mobx observer: Using observer to inject stores is deprecated since 4.0. Use `@inject(\"store1\", \"store2\") @observer ComponentClass` or `inject(\"store1\", \"store2\")(observer(componentClass))` instead of `@observer([\"store1\", \"store2\"]) ComponentClass`');\n    }\n\n    if (!arg2) {\n      // invoked as decorator\n      return function (componentClass) {\n        return observer(arg1, componentClass);\n      };\n    } else {\n      return inject.apply(null, arg1)(observer(arg2));\n    }\n  }\n\n  var componentClass = arg1;\n\n  if (componentClass.isMobxInjector === true) {\n    console.warn(\"Mobx observer: You are trying to use 'observer' on a component that already has 'inject'. Please apply 'observer' before applying 'inject'\");\n  }\n\n  if (componentClass.__proto__ === PureComponent) {\n    console.warn(\"Mobx observer: You are using 'observer' on React.PureComponent. These two achieve two opposite goals and should not be used together\");\n  } // Unwrap forward refs into `<Observer>` component\n  // we need to unwrap the render, because it is the inner render that needs to be tracked,\n  // not the ForwardRef HoC\n\n\n  if (ReactForwardRefSymbol && componentClass[\"$$typeof\"] === ReactForwardRefSymbol) {\n    var _baseRender = componentClass.render;\n    if (typeof _baseRender !== \"function\") throw new Error(\"render property of ForwardRef was not a function\"); // TODO: do we need to hoist statics from baseRender to the forward ref?\n\n    return forwardRef(function ObserverForwardRef() {\n      var _arguments = arguments;\n      return React__default.createElement(Observer, null, function () {\n        return _baseRender.apply(undefined, _arguments);\n      });\n    });\n  } // Stateless function component:\n  // If it is function but doesn't seem to be a react class constructor,\n  // wrap it to a react class automatically\n\n\n  if (typeof componentClass === \"function\" && (!componentClass.prototype || !componentClass.prototype.render) && !componentClass.isReactClass && !Component.isPrototypeOf(componentClass)) {\n    var _class, _temp;\n\n    var observerComponent = observer((_temp = _class =\n    /*#__PURE__*/\n    function (_Component) {\n      _inherits(_class, _Component);\n\n      function _class() {\n        _classCallCheck(this, _class);\n\n        return _possibleConstructorReturn(this, _getPrototypeOf(_class).apply(this, arguments));\n      }\n\n      _createClass(_class, [{\n        key: \"render\",\n        value: function render() {\n          return componentClass.call(this, this.props, this.context);\n        }\n      }]);\n\n      return _class;\n    }(Component), _class.displayName = componentClass.displayName || componentClass.name, _class.contextTypes = componentClass.contextTypes, _class.propTypes = componentClass.propTypes, _class.defaultProps = componentClass.defaultProps, _temp));\n    hoistNonReactStatics_cjs(observerComponent, componentClass);\n    return observerComponent;\n  }\n\n  if (!componentClass) {\n    throw new Error(\"Please pass a valid component to 'observer'\");\n  }\n\n  var target = componentClass.prototype || componentClass;\n  mixinLifecycleEvents(target);\n  componentClass.isMobXReactObserver = true;\n  makeObservableProp(target, \"props\");\n  makeObservableProp(target, \"state\");\n  var baseRender = target.render;\n\n  target.render = function () {\n    return makeComponentReactive.call(this, baseRender);\n  };\n\n  return componentClass;\n}\n\nfunction mixinLifecycleEvents(target) {\n  [\"componentDidMount\", \"componentWillUnmount\", \"componentDidUpdate\"].forEach(function (funcName) {\n    patch$1(target, funcName);\n  });\n\n  if (!target.shouldComponentUpdate) {\n    target.shouldComponentUpdate = reactiveMixin.shouldComponentUpdate;\n  } else {\n    if (target.shouldComponentUpdate !== reactiveMixin.shouldComponentUpdate) {\n      // TODO: make throw in next major\n      console.warn(\"Use `shouldComponentUpdate` in an `observer` based component breaks the behavior of `observer` and might lead to unexpected results. Manually implementing `sCU` should not be needed when using mobx-react.\");\n    }\n  }\n}\n\nvar Observer = observer(function (_ref2) {\n  var children = _ref2.children,\n      observerInject = _ref2.inject,\n      render = _ref2.render;\n  var component = children || render;\n\n  if (typeof component === \"undefined\") {\n    return null;\n  }\n\n  if (!observerInject) {\n    return component();\n  } // TODO: remove in next major\n\n\n  console.warn(\"<Observer inject=.../> is no longer supported. Please use inject on the enclosing component instead\");\n  var InjectComponent = inject(observerInject)(component);\n  return React__default.createElement(InjectComponent, null);\n});\nObserver.displayName = \"Observer\";\n\nvar ObserverPropsCheck = function ObserverPropsCheck(props, key, componentName, location, propFullName) {\n  var extraKey = key === \"children\" ? \"render\" : \"children\";\n\n  if (typeof props[key] === \"function\" && typeof props[extraKey] === \"function\") {\n    return new Error(\"Invalid prop,do not use children and render in the same time in`\" + componentName);\n  }\n\n  if (typeof props[key] === \"function\" || typeof props[extraKey] === \"function\") {\n    return;\n  }\n\n  return new Error(\"Invalid prop `\" + propFullName + \"` of type `\" + _typeof(props[key]) + \"` supplied to\" + \" `\" + componentName + \"`, expected `function`.\");\n};\n\nObserver.propTypes = {\n  render: ObserverPropsCheck,\n  children: ObserverPropsCheck\n};\n/**\n * Copyright (c) 2013-present, Facebook, Inc.\n *\n * This source code is licensed under the MIT license found in the\n * LICENSE file in the root directory of this source tree.\n */\n\nfunction componentWillMount() {\n  // Call this.constructor.gDSFP to support sub-classes.\n  var state = this.constructor.getDerivedStateFromProps(this.props, this.state);\n\n  if (state !== null && state !== undefined) {\n    this.setState(state);\n  }\n}\n\nfunction componentWillReceiveProps(nextProps) {\n  // Call this.constructor.gDSFP to support sub-classes.\n  // Use the setState() updater to ensure state isn't stale in certain edge cases.\n  function updater(prevState) {\n    var state = this.constructor.getDerivedStateFromProps(nextProps, prevState);\n    return state !== null && state !== undefined ? state : null;\n  } // Binding \"this\" is important for shallow renderer support.\n\n\n  this.setState(updater.bind(this));\n}\n\nfunction componentWillUpdate(nextProps, nextState) {\n  try {\n    var prevProps = this.props;\n    var prevState = this.state;\n    this.props = nextProps;\n    this.state = nextState;\n    this.__reactInternalSnapshotFlag = true;\n    this.__reactInternalSnapshot = this.getSnapshotBeforeUpdate(prevProps, prevState);\n  } finally {\n    this.props = prevProps;\n    this.state = prevState;\n  }\n} // React may warn about cWM/cWRP/cWU methods being deprecated.\n// Add a flag to suppress these warnings for this special case.\n\n\ncomponentWillMount.__suppressDeprecationWarning = true;\ncomponentWillReceiveProps.__suppressDeprecationWarning = true;\ncomponentWillUpdate.__suppressDeprecationWarning = true;\n\nfunction polyfill(Component$$1) {\n  var prototype = Component$$1.prototype;\n\n  if (!prototype || !prototype.isReactComponent) {\n    throw new Error('Can only polyfill class components');\n  }\n\n  if (typeof Component$$1.getDerivedStateFromProps !== 'function' && typeof prototype.getSnapshotBeforeUpdate !== 'function') {\n    return Component$$1;\n  } // If new component APIs are defined, \"unsafe\" lifecycles won't be called.\n  // Error if any of these lifecycles are present,\n  // Because they would work differently between older and newer (16.3+) versions of React.\n\n\n  var foundWillMountName = null;\n  var foundWillReceivePropsName = null;\n  var foundWillUpdateName = null;\n\n  if (typeof prototype.componentWillMount === 'function') {\n    foundWillMountName = 'componentWillMount';\n  } else if (typeof prototype.UNSAFE_componentWillMount === 'function') {\n    foundWillMountName = 'UNSAFE_componentWillMount';\n  }\n\n  if (typeof prototype.componentWillReceiveProps === 'function') {\n    foundWillReceivePropsName = 'componentWillReceiveProps';\n  } else if (typeof prototype.UNSAFE_componentWillReceiveProps === 'function') {\n    foundWillReceivePropsName = 'UNSAFE_componentWillReceiveProps';\n  }\n\n  if (typeof prototype.componentWillUpdate === 'function') {\n    foundWillUpdateName = 'componentWillUpdate';\n  } else if (typeof prototype.UNSAFE_componentWillUpdate === 'function') {\n    foundWillUpdateName = 'UNSAFE_componentWillUpdate';\n  }\n\n  if (foundWillMountName !== null || foundWillReceivePropsName !== null || foundWillUpdateName !== null) {\n    var componentName = Component$$1.displayName || Component$$1.name;\n    var newApiName = typeof Component$$1.getDerivedStateFromProps === 'function' ? 'getDerivedStateFromProps()' : 'getSnapshotBeforeUpdate()';\n    throw Error('Unsafe legacy lifecycles will not be called for components using new component APIs.\\n\\n' + componentName + ' uses ' + newApiName + ' but also contains the following legacy lifecycles:' + (foundWillMountName !== null ? '\\n  ' + foundWillMountName : '') + (foundWillReceivePropsName !== null ? '\\n  ' + foundWillReceivePropsName : '') + (foundWillUpdateName !== null ? '\\n  ' + foundWillUpdateName : '') + '\\n\\nThe above lifecycles should be removed. Learn more about this warning here:\\n' + 'https://fb.me/react-async-component-lifecycle-hooks');\n  } // React <= 16.2 does not support static getDerivedStateFromProps.\n  // As a workaround, use cWM and cWRP to invoke the new static lifecycle.\n  // Newer versions of React will ignore these lifecycles if gDSFP exists.\n\n\n  if (typeof Component$$1.getDerivedStateFromProps === 'function') {\n    prototype.componentWillMount = componentWillMount;\n    prototype.componentWillReceiveProps = componentWillReceiveProps;\n  } // React <= 16.2 does not support getSnapshotBeforeUpdate.\n  // As a workaround, use cWU to invoke the new lifecycle.\n  // Newer versions of React will ignore that lifecycle if gSBU exists.\n\n\n  if (typeof prototype.getSnapshotBeforeUpdate === 'function') {\n    if (typeof prototype.componentDidUpdate !== 'function') {\n      throw new Error('Cannot polyfill getSnapshotBeforeUpdate() for components that do not define componentDidUpdate() on the prototype');\n    }\n\n    prototype.componentWillUpdate = componentWillUpdate;\n    var componentDidUpdate = prototype.componentDidUpdate;\n\n    prototype.componentDidUpdate = function componentDidUpdatePolyfill(prevProps, prevState, maybeSnapshot) {\n      // 16.3+ will not execute our will-update method;\n      // It will pass a snapshot value to did-update though.\n      // Older versions will require our polyfilled will-update value.\n      // We need to handle both cases, but can't just check for the presence of \"maybeSnapshot\",\n      // Because for <= 15.x versions this might be a \"prevContext\" object.\n      // We also can't just check \"__reactInternalSnapshot\",\n      // Because get-snapshot might return a falsy value.\n      // So check for the explicit __reactInternalSnapshotFlag flag to determine behavior.\n      var snapshot = this.__reactInternalSnapshotFlag ? this.__reactInternalSnapshot : maybeSnapshot;\n      componentDidUpdate.call(this, prevProps, prevState, snapshot);\n    };\n  }\n\n  return Component$$1;\n}\n\nvar specialReactKeys = {\n  children: true,\n  key: true,\n  ref: true\n};\n\nvar Provider =\n/*#__PURE__*/\nfunction (_Component) {\n  _inherits(Provider, _Component);\n\n  function Provider(props, context) {\n    var _this;\n\n    _classCallCheck(this, Provider);\n\n    _this = _possibleConstructorReturn(this, _getPrototypeOf(Provider).call(this, props, context));\n    _this.state = {};\n    copyStores(props, _this.state);\n    return _this;\n  }\n\n  _createClass(Provider, [{\n    key: \"render\",\n    value: function render() {\n      return Children.only(this.props.children);\n    }\n  }, {\n    key: \"getChildContext\",\n    value: function getChildContext() {\n      var stores = {}; // inherit stores\n\n      copyStores(this.context.mobxStores, stores); // add own stores\n\n      copyStores(this.props, stores);\n      return {\n        mobxStores: stores\n      };\n    }\n  }], [{\n    key: \"getDerivedStateFromProps\",\n    value: function getDerivedStateFromProps(nextProps, prevState) {\n      if (!nextProps) return null;\n      if (!prevState) return nextProps; // Maybe this warning is too aggressive?\n\n      if (Object.keys(nextProps).filter(validStoreName).length !== Object.keys(prevState).filter(validStoreName).length) console.warn(\"MobX Provider: The set of provided stores has changed. Please avoid changing stores as the change might not propagate to all children\");\n      if (!nextProps.suppressChangedStoreWarning) for (var key in nextProps) {\n        if (validStoreName(key) && prevState[key] !== nextProps[key]) console.warn(\"MobX Provider: Provided store '\" + key + \"' has changed. Please avoid replacing stores as the change might not propagate to all children\");\n      }\n      return nextProps;\n    }\n  }]);\n\n  return Provider;\n}(Component);\n\nProvider.contextTypes = {\n  mobxStores: objectOrObservableObject\n};\nProvider.childContextTypes = {\n  mobxStores: objectOrObservableObject.isRequired\n};\n\nfunction copyStores(from, to) {\n  if (!from) return;\n\n  for (var key in from) {\n    if (validStoreName(key)) to[key] = from[key];\n  }\n}\n\nfunction validStoreName(key) {\n  return !specialReactKeys[key] && key !== \"suppressChangedStoreWarning\";\n} // TODO: kill in next major\n\n\npolyfill(Provider);\nvar storeKey = newSymbol(\"disposeOnUnmount\");\n\nfunction runDisposersOnWillUnmount() {\n  var _this = this;\n\n  if (!this[storeKey]) {\n    // when disposeOnUnmount is only set to some instances of a component it will still patch the prototype\n    return;\n  }\n\n  this[storeKey].forEach(function (propKeyOrFunction) {\n    var prop = typeof propKeyOrFunction === \"string\" ? _this[propKeyOrFunction] : propKeyOrFunction;\n\n    if (prop !== undefined && prop !== null) {\n      if (typeof prop !== \"function\") {\n        throw new Error(\"[mobx-react] disposeOnUnmount only works on functions such as disposers returned by reactions, autorun, etc.\");\n      }\n\n      prop();\n    }\n  });\n  this[storeKey] = [];\n}\n\nfunction disposeOnUnmount(target, propertyKeyOrFunction) {\n  if (Array.isArray(propertyKeyOrFunction)) {\n    return propertyKeyOrFunction.map(function (fn) {\n      return disposeOnUnmount(target, fn);\n    });\n  }\n\n  if (!target instanceof Component) {\n    throw new Error(\"[mobx-react] disposeOnUnmount only works on class based React components.\");\n  }\n\n  if (typeof propertyKeyOrFunction !== \"string\" && typeof propertyKeyOrFunction !== \"function\") {\n    throw new Error(\"[mobx-react] disposeOnUnmount only works if the parameter is either a property key or a function.\");\n  } // add property key / function we want run (disposed) to the store\n\n\n  var componentWasAlreadyModified = !!target[storeKey];\n  var store = target[storeKey] || (target[storeKey] = []);\n  store.push(propertyKeyOrFunction); // tweak the component class componentWillUnmount if not done already\n\n  if (!componentWasAlreadyModified) {\n    patch(target, \"componentWillUnmount\", runDisposersOnWillUnmount);\n  } // return the disposer as is if invoked as a non decorator\n\n\n  if (typeof propertyKeyOrFunction !== \"string\") {\n    return propertyKeyOrFunction;\n  }\n}\n\nif (!Component) throw new Error(\"mobx-react requires React to be available\");\nif (!spy) throw new Error(\"mobx-react requires mobx to be available\");\nif (typeof unstable_batchedUpdates === \"function\") configure({\n  reactionScheduler: unstable_batchedUpdates\n});\n\nvar onError = function onError(fn) {\n  return errorsReporter.on(fn);\n};\n\nif ((typeof __MOBX_DEVTOOLS_GLOBAL_HOOK__ === \"undefined\" ? \"undefined\" : _typeof(__MOBX_DEVTOOLS_GLOBAL_HOOK__)) === \"object\") {\n  var mobx = {\n    spy: spy,\n    extras: {\n      getDebugName: getDebugName\n    }\n  };\n  var mobxReact = {\n    renderReporter: renderReporter,\n    componentByNodeRegistry: componentByNodeRegistry,\n    componentByNodeRegistery: componentByNodeRegistry,\n    trackComponents: trackComponents\n  };\n\n  __MOBX_DEVTOOLS_GLOBAL_HOOK__.injectMobxReact(mobxReact, mobx);\n}\n\nexport { propTypes, propTypes as PropTypes, onError, observer, Observer, renderReporter, componentByNodeRegistry as componentByNodeRegistery, componentByNodeRegistry, trackComponents, useStaticRendering, Provider, inject, disposeOnUnmount };","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar formatNumber = require('./number').format;\n\nvar formatBigNumber = require('./bignumber/formatter').format;\n\nvar isBigNumber = require('./bignumber/isBigNumber');\n/**\n * Test whether value is a string\n * @param {*} value\n * @return {boolean} isString\n */\n\n\nexports.isString = function (value) {\n  return typeof value === 'string';\n};\n/**\n * Check if a text ends with a certain string.\n * @param {string} text\n * @param {string} search\n */\n\n\nexports.endsWith = function (text, search) {\n  var start = text.length - search.length;\n  var end = text.length;\n  return text.substring(start, end) === search;\n};\n/**\n * Format a value of any type into a string.\n *\n * Usage:\n *     math.format(value)\n *     math.format(value, precision)\n *\n * When value is a function:\n *\n * - When the function has a property `syntax`, it returns this\n *   syntax description.\n * - In other cases, a string `'function'` is returned.\n *\n * When `value` is an Object:\n *\n * - When the object contains a property `format` being a function, this\n *   function is invoked as `value.format(options)` and the result is returned.\n * - When the object has its own `toString` method, this method is invoked\n *   and the result is returned.\n * - In other cases the function will loop over all object properties and\n *   return JSON object notation like '{\"a\": 2, \"b\": 3}'.\n *\n * Example usage:\n *     math.format(2/7)                // '0.2857142857142857'\n *     math.format(math.pi, 3)         // '3.14'\n *     math.format(new Complex(2, 3))  // '2 + 3i'\n *     math.format('hello')            // '\"hello\"'\n *\n * @param {*} value             Value to be stringified\n * @param {Object | number | Function} [options]  Formatting options. See\n *                                                lib/utils/number:format for a\n *                                                description of the available\n *                                                options.\n * @return {string} str\n */\n\n\nexports.format = function (value, options) {\n  if (typeof value === 'number') {\n    return formatNumber(value, options);\n  }\n\n  if (isBigNumber(value)) {\n    return formatBigNumber(value, options);\n  } // note: we use unsafe duck-typing here to check for Fractions, this is\n  // ok here since we're only invoking toString or concatenating its values\n\n\n  if (looksLikeFraction(value)) {\n    if (!options || options.fraction !== 'decimal') {\n      // output as ratio, like '1/3'\n      return value.s * value.n + '/' + value.d;\n    } else {\n      // output as decimal, like '0.(3)'\n      return value.toString();\n    }\n  }\n\n  if (Array.isArray(value)) {\n    return formatArray(value, options);\n  }\n\n  if (exports.isString(value)) {\n    return '\"' + value + '\"';\n  }\n\n  if (typeof value === 'function') {\n    return value.syntax ? String(value.syntax) : 'function';\n  }\n\n  if (value && _typeof(value) === 'object') {\n    if (typeof value.format === 'function') {\n      return value.format(options);\n    } else if (value && value.toString() !== {}.toString()) {\n      // this object has a non-native toString method, use that one\n      return value.toString();\n    } else {\n      var entries = [];\n\n      for (var key in value) {\n        if (value.hasOwnProperty(key)) {\n          entries.push('\"' + key + '\": ' + exports.format(value[key], options));\n        }\n      }\n\n      return '{' + entries.join(', ') + '}';\n    }\n  }\n\n  return String(value);\n};\n/**\n * Stringify a value into a string enclosed in double quotes.\n * Unescaped double quotes and backslashes inside the value are escaped.\n * @param {*} value\n * @return {string}\n */\n\n\nexports.stringify = function (value) {\n  var text = String(value);\n  var escaped = '';\n  var i = 0;\n\n  while (i < text.length) {\n    var c = text.charAt(i);\n\n    if (c === '\\\\') {\n      escaped += c;\n      i++;\n      c = text.charAt(i);\n\n      if (c === '' || '\"\\\\/bfnrtu'.indexOf(c) === -1) {\n        escaped += '\\\\'; // no valid escape character -> escape it\n      }\n\n      escaped += c;\n    } else if (c === '\"') {\n      escaped += '\\\\\"';\n    } else {\n      escaped += c;\n    }\n\n    i++;\n  }\n\n  return '\"' + escaped + '\"';\n};\n/**\n * Escape special HTML characters\n * @param {*} value\n * @return {string}\n */\n\n\nexports.escape = function (value) {\n  var text = String(value);\n  text = text.replace(/&/g, '&amp;').replace(/\"/g, '&quot;').replace(/'/g, '&#39;').replace(/</g, '&lt;').replace(/>/g, '&gt;');\n  return text;\n};\n/**\n * Recursively format an n-dimensional matrix\n * Example output: \"[[1, 2], [3, 4]]\"\n * @param {Array} array\n * @param {Object | number | Function} [options]  Formatting options. See\n *                                                lib/utils/number:format for a\n *                                                description of the available\n *                                                options.\n * @returns {string} str\n */\n\n\nfunction formatArray(array, options) {\n  if (Array.isArray(array)) {\n    var str = '[';\n    var len = array.length;\n\n    for (var i = 0; i < len; i++) {\n      if (i !== 0) {\n        str += ', ';\n      }\n\n      str += formatArray(array[i], options);\n    }\n\n    str += ']';\n    return str;\n  } else {\n    return exports.format(array, options);\n  }\n}\n/**\n * Check whether a value looks like a Fraction (unsafe duck-type check)\n * @param {*} value\n * @return {boolean}\n */\n\n\nfunction looksLikeFraction(value) {\n  return value && _typeof(value) === 'object' && typeof value.s === 'number' && typeof value.n === 'number' && typeof value.d === 'number' || false;\n}","export default function _getPrototypeOf(o) {\n  _getPrototypeOf = Object.setPrototypeOf ? Object.getPrototypeOf : function _getPrototypeOf(o) {\n    return o.__proto__ || Object.getPrototypeOf(o);\n  };\n  return _getPrototypeOf(o);\n}","function _typeof2(obj) { if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") { _typeof2 = function _typeof2(obj) { return typeof obj; }; } else { _typeof2 = function _typeof2(obj) { return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj; }; } return _typeof2(obj); }\n\nexport default function _typeof(obj) {\n  if (typeof Symbol === \"function\" && _typeof2(Symbol.iterator) === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return _typeof2(obj);\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : _typeof2(obj);\n    };\n  }\n\n  return _typeof(obj);\n}","import _typeof from \"../../helpers/esm/typeof\";\nimport assertThisInitialized from \"./assertThisInitialized\";\nexport default function _possibleConstructorReturn(self, call) {\n  if (call && (_typeof(call) === \"object\" || typeof call === \"function\")) {\n    return call;\n  }\n\n  return assertThisInitialized(self);\n}","export default function _assertThisInitialized(self) {\n  if (self === void 0) {\n    throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n  }\n\n  return self;\n}","export default function _setPrototypeOf(o, p) {\n  _setPrototypeOf = Object.setPrototypeOf || function _setPrototypeOf(o, p) {\n    o.__proto__ = p;\n    return o;\n  };\n\n  return _setPrototypeOf(o, p);\n}","import setPrototypeOf from \"./setPrototypeOf\";\nexport default function _inherits(subClass, superClass) {\n  if (typeof superClass !== \"function\" && superClass !== null) {\n    throw new TypeError(\"Super expression must either be null or a function\");\n  }\n\n  subClass.prototype = Object.create(superClass && superClass.prototype, {\n    constructor: {\n      value: subClass,\n      writable: true,\n      configurable: true\n    }\n  });\n  if (superClass) setPrototypeOf(subClass, superClass);\n}","'use strict';\n\nvar extend = require('../../utils/object').extend;\n\nvar array = require('../../utils/array');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var addScalar = load(require('./addScalar'));\n  var multiplyScalar = load(require('./multiplyScalar'));\n  var equalScalar = load(require('../relational/equalScalar'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  var DenseMatrix = type.DenseMatrix;\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Multiply two or more values, `x * y`.\n   * For matrices, the matrix product is calculated.\n   *\n   * Syntax:\n   *\n   *    math.multiply(x, y)\n   *    math.multiply(x, y, z, ...)\n   *\n   * Examples:\n   *\n   *    math.multiply(4, 5.2)        // returns number 20.8\n   *    math.multiply(2, 3, 4)       // returns number 24\n   *\n   *    const a = math.complex(2, 3)\n   *    const b = math.complex(4, 1)\n   *    math.multiply(a, b)          // returns Complex 5 + 14i\n   *\n   *    const c = [[1, 2], [4, 3]]\n   *    const d = [[1, 2, 3], [3, -4, 7]]\n   *    math.multiply(c, d)          // returns Array [[7, -6, 17], [13, -4, 33]]\n   *\n   *    const e = math.unit('2.1 km')\n   *    math.multiply(3, e)          // returns Unit 6.3 km\n   *\n   * See also:\n   *\n   *    divide, prod, cross, dot\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x First value to multiply\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} y Second value to multiply\n   * @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} Multiplication of `x` and `y`\n   */\n\n  var multiply = typed('multiply', extend({\n    // we extend the signatures of multiplyScalar with signatures dealing with matrices\n    'Array, Array': function ArrayArray(x, y) {\n      // check dimensions\n      _validateMatrixDimensions(array.size(x), array.size(y)); // use dense matrix implementation\n\n\n      var m = multiply(matrix(x), matrix(y)); // return array or scalar\n\n      return type.isMatrix(m) ? m.valueOf() : m;\n    },\n    'Matrix, Matrix': function MatrixMatrix(x, y) {\n      // dimensions\n      var xsize = x.size();\n      var ysize = y.size(); // check dimensions\n\n      _validateMatrixDimensions(xsize, ysize); // process dimensions\n\n\n      if (xsize.length === 1) {\n        // process y dimensions\n        if (ysize.length === 1) {\n          // Vector * Vector\n          return _multiplyVectorVector(x, y, xsize[0]);\n        } // Vector * Matrix\n\n\n        return _multiplyVectorMatrix(x, y);\n      } // process y dimensions\n\n\n      if (ysize.length === 1) {\n        // Matrix * Vector\n        return _multiplyMatrixVector(x, y);\n      } // Matrix * Matrix\n\n\n      return _multiplyMatrixMatrix(x, y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use Matrix * Matrix implementation\n      return multiply(x, matrix(y));\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use Matrix * Matrix implementation\n      return multiply(matrix(x, y.storage()), y);\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm11(x, y, multiplyScalar, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, multiplyScalar, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm11(y, x, multiplyScalar, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, multiplyScalar, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, multiplyScalar, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, multiplyScalar, true).valueOf();\n    },\n    'any, any': multiplyScalar,\n    'any, any, ...any': function anyAnyAny(x, y, rest) {\n      var result = multiply(x, y);\n\n      for (var i = 0; i < rest.length; i++) {\n        result = multiply(result, rest[i]);\n      }\n\n      return result;\n    }\n  }, multiplyScalar.signatures));\n\n  function _validateMatrixDimensions(size1, size2) {\n    // check left operand dimensions\n    switch (size1.length) {\n      case 1:\n        // check size2\n        switch (size2.length) {\n          case 1:\n            // Vector x Vector\n            if (size1[0] !== size2[0]) {\n              // throw error\n              throw new RangeError('Dimension mismatch in multiplication. Vectors must have the same length');\n            }\n\n            break;\n\n          case 2:\n            // Vector x Matrix\n            if (size1[0] !== size2[0]) {\n              // throw error\n              throw new RangeError('Dimension mismatch in multiplication. Vector length (' + size1[0] + ') must match Matrix rows (' + size2[0] + ')');\n            }\n\n            break;\n\n          default:\n            throw new Error('Can only multiply a 1 or 2 dimensional matrix (Matrix B has ' + size2.length + ' dimensions)');\n        }\n\n        break;\n\n      case 2:\n        // check size2\n        switch (size2.length) {\n          case 1:\n            // Matrix x Vector\n            if (size1[1] !== size2[0]) {\n              // throw error\n              throw new RangeError('Dimension mismatch in multiplication. Matrix columns (' + size1[1] + ') must match Vector length (' + size2[0] + ')');\n            }\n\n            break;\n\n          case 2:\n            // Matrix x Matrix\n            if (size1[1] !== size2[0]) {\n              // throw error\n              throw new RangeError('Dimension mismatch in multiplication. Matrix A columns (' + size1[1] + ') must match Matrix B rows (' + size2[0] + ')');\n            }\n\n            break;\n\n          default:\n            throw new Error('Can only multiply a 1 or 2 dimensional matrix (Matrix B has ' + size2.length + ' dimensions)');\n        }\n\n        break;\n\n      default:\n        throw new Error('Can only multiply a 1 or 2 dimensional matrix (Matrix A has ' + size1.length + ' dimensions)');\n    }\n  }\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            Dense Vector   (N)\n   * @param {Matrix} b            Dense Vector   (N)\n   *\n   * @return {number}             Scalar value\n   */\n\n\n  function _multiplyVectorVector(a, b, n) {\n    // check empty vector\n    if (n === 0) {\n      throw new Error('Cannot multiply two empty vectors');\n    } // a dense\n\n\n    var adata = a._data;\n    var adt = a._datatype; // b dense\n\n    var bdata = b._data;\n    var bdt = b._datatype; // datatype\n\n    var dt; // addScalar signature to use\n\n    var af = addScalar; // multiplyScalar signature to use\n\n    var mf = multiplyScalar; // process data types\n\n    if (adt && bdt && adt === bdt && typeof adt === 'string') {\n      // datatype\n      dt = adt; // find signatures that matches (dt, dt)\n\n      af = typed.find(addScalar, [dt, dt]);\n      mf = typed.find(multiplyScalar, [dt, dt]);\n    } // result (do not initialize it with zero)\n\n\n    var c = mf(adata[0], bdata[0]); // loop data\n\n    for (var i = 1; i < n; i++) {\n      // multiply and accumulate\n      c = af(c, mf(adata[i], bdata[i]));\n    }\n\n    return c;\n  }\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            Dense Vector   (M)\n   * @param {Matrix} b            Matrix         (MxN)\n   *\n   * @return {Matrix}             Dense Vector   (N)\n   */\n\n\n  function _multiplyVectorMatrix(a, b) {\n    // process storage\n    if (b.storage() !== 'dense') {\n      throw new Error('Support for SparseMatrix not implemented');\n    }\n\n    return _multiplyVectorDenseMatrix(a, b);\n  }\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            Dense Vector   (M)\n   * @param {Matrix} b            Dense Matrix   (MxN)\n   *\n   * @return {Matrix}             Dense Vector   (N)\n   */\n\n\n  function _multiplyVectorDenseMatrix(a, b) {\n    // a dense\n    var adata = a._data;\n    var asize = a._size;\n    var adt = a._datatype; // b dense\n\n    var bdata = b._data;\n    var bsize = b._size;\n    var bdt = b._datatype; // rows & columns\n\n    var alength = asize[0];\n    var bcolumns = bsize[1]; // datatype\n\n    var dt; // addScalar signature to use\n\n    var af = addScalar; // multiplyScalar signature to use\n\n    var mf = multiplyScalar; // process data types\n\n    if (adt && bdt && adt === bdt && typeof adt === 'string') {\n      // datatype\n      dt = adt; // find signatures that matches (dt, dt)\n\n      af = typed.find(addScalar, [dt, dt]);\n      mf = typed.find(multiplyScalar, [dt, dt]);\n    } // result\n\n\n    var c = []; // loop matrix columns\n\n    for (var j = 0; j < bcolumns; j++) {\n      // sum (do not initialize it with zero)\n      var sum = mf(adata[0], bdata[0][j]); // loop vector\n\n      for (var i = 1; i < alength; i++) {\n        // multiply & accumulate\n        sum = af(sum, mf(adata[i], bdata[i][j]));\n      }\n\n      c[j] = sum;\n    } // return matrix\n\n\n    return new DenseMatrix({\n      data: c,\n      size: [bcolumns],\n      datatype: dt\n    });\n  }\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            Matrix         (MxN)\n   * @param {Matrix} b            Dense Vector   (N)\n   *\n   * @return {Matrix}             Dense Vector   (M)\n   */\n\n\n  var _multiplyMatrixVector = typed('_multiplyMatrixVector', {\n    'DenseMatrix, any': _multiplyDenseMatrixVector,\n    'SparseMatrix, any': _multiplySparseMatrixVector\n  });\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            Matrix         (MxN)\n   * @param {Matrix} b            Matrix         (NxC)\n   *\n   * @return {Matrix}             Matrix         (MxC)\n   */\n\n\n  var _multiplyMatrixMatrix = typed('_multiplyMatrixMatrix', {\n    'DenseMatrix, DenseMatrix': _multiplyDenseMatrixDenseMatrix,\n    'DenseMatrix, SparseMatrix': _multiplyDenseMatrixSparseMatrix,\n    'SparseMatrix, DenseMatrix': _multiplySparseMatrixDenseMatrix,\n    'SparseMatrix, SparseMatrix': _multiplySparseMatrixSparseMatrix\n  });\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            DenseMatrix  (MxN)\n   * @param {Matrix} b            Dense Vector (N)\n   *\n   * @return {Matrix}             Dense Vector (M)\n   */\n\n\n  function _multiplyDenseMatrixVector(a, b) {\n    // a dense\n    var adata = a._data;\n    var asize = a._size;\n    var adt = a._datatype; // b dense\n\n    var bdata = b._data;\n    var bdt = b._datatype; // rows & columns\n\n    var arows = asize[0];\n    var acolumns = asize[1]; // datatype\n\n    var dt; // addScalar signature to use\n\n    var af = addScalar; // multiplyScalar signature to use\n\n    var mf = multiplyScalar; // process data types\n\n    if (adt && bdt && adt === bdt && typeof adt === 'string') {\n      // datatype\n      dt = adt; // find signatures that matches (dt, dt)\n\n      af = typed.find(addScalar, [dt, dt]);\n      mf = typed.find(multiplyScalar, [dt, dt]);\n    } // result\n\n\n    var c = []; // loop matrix a rows\n\n    for (var i = 0; i < arows; i++) {\n      // current row\n      var row = adata[i]; // sum (do not initialize it with zero)\n\n      var sum = mf(row[0], bdata[0]); // loop matrix a columns\n\n      for (var j = 1; j < acolumns; j++) {\n        // multiply & accumulate\n        sum = af(sum, mf(row[j], bdata[j]));\n      }\n\n      c[i] = sum;\n    } // return matrix\n\n\n    return new DenseMatrix({\n      data: c,\n      size: [arows],\n      datatype: dt\n    });\n  }\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            DenseMatrix    (MxN)\n   * @param {Matrix} b            DenseMatrix    (NxC)\n   *\n   * @return {Matrix}             DenseMatrix    (MxC)\n   */\n\n\n  function _multiplyDenseMatrixDenseMatrix(a, b) {\n    // a dense\n    var adata = a._data;\n    var asize = a._size;\n    var adt = a._datatype; // b dense\n\n    var bdata = b._data;\n    var bsize = b._size;\n    var bdt = b._datatype; // rows & columns\n\n    var arows = asize[0];\n    var acolumns = asize[1];\n    var bcolumns = bsize[1]; // datatype\n\n    var dt; // addScalar signature to use\n\n    var af = addScalar; // multiplyScalar signature to use\n\n    var mf = multiplyScalar; // process data types\n\n    if (adt && bdt && adt === bdt && typeof adt === 'string') {\n      // datatype\n      dt = adt; // find signatures that matches (dt, dt)\n\n      af = typed.find(addScalar, [dt, dt]);\n      mf = typed.find(multiplyScalar, [dt, dt]);\n    } // result\n\n\n    var c = []; // loop matrix a rows\n\n    for (var i = 0; i < arows; i++) {\n      // current row\n      var row = adata[i]; // initialize row array\n\n      c[i] = []; // loop matrix b columns\n\n      for (var j = 0; j < bcolumns; j++) {\n        // sum (avoid initializing sum to zero)\n        var sum = mf(row[0], bdata[0][j]); // loop matrix a columns\n\n        for (var x = 1; x < acolumns; x++) {\n          // multiply & accumulate\n          sum = af(sum, mf(row[x], bdata[x][j]));\n        }\n\n        c[i][j] = sum;\n      }\n    } // return matrix\n\n\n    return new DenseMatrix({\n      data: c,\n      size: [arows, bcolumns],\n      datatype: dt\n    });\n  }\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            DenseMatrix    (MxN)\n   * @param {Matrix} b            SparseMatrix   (NxC)\n   *\n   * @return {Matrix}             SparseMatrix   (MxC)\n   */\n\n\n  function _multiplyDenseMatrixSparseMatrix(a, b) {\n    // a dense\n    var adata = a._data;\n    var asize = a._size;\n    var adt = a._datatype; // b sparse\n\n    var bvalues = b._values;\n    var bindex = b._index;\n    var bptr = b._ptr;\n    var bsize = b._size;\n    var bdt = b._datatype; // validate b matrix\n\n    if (!bvalues) {\n      throw new Error('Cannot multiply Dense Matrix times Pattern only Matrix');\n    } // rows & columns\n\n\n    var arows = asize[0];\n    var bcolumns = bsize[1]; // datatype\n\n    var dt; // addScalar signature to use\n\n    var af = addScalar; // multiplyScalar signature to use\n\n    var mf = multiplyScalar; // equalScalar signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0; // process data types\n\n    if (adt && bdt && adt === bdt && typeof adt === 'string') {\n      // datatype\n      dt = adt; // find signatures that matches (dt, dt)\n\n      af = typed.find(addScalar, [dt, dt]);\n      mf = typed.find(multiplyScalar, [dt, dt]);\n      eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt);\n    } // result\n\n\n    var cvalues = [];\n    var cindex = [];\n    var cptr = []; // c matrix\n\n    var c = new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [arows, bcolumns],\n      datatype: dt\n    }); // loop b columns\n\n    for (var jb = 0; jb < bcolumns; jb++) {\n      // update ptr\n      cptr[jb] = cindex.length; // indeces in column jb\n\n      var kb0 = bptr[jb];\n      var kb1 = bptr[jb + 1]; // do not process column jb if no data exists\n\n      if (kb1 > kb0) {\n        // last row mark processed\n        var last = 0; // loop a rows\n\n        for (var i = 0; i < arows; i++) {\n          // column mark\n          var mark = i + 1; // C[i, jb]\n\n          var cij = void 0; // values in b column j\n\n          for (var kb = kb0; kb < kb1; kb++) {\n            // row\n            var ib = bindex[kb]; // check value has been initialized\n\n            if (last !== mark) {\n              // first value in column jb\n              cij = mf(adata[i][ib], bvalues[kb]); // update mark\n\n              last = mark;\n            } else {\n              // accumulate value\n              cij = af(cij, mf(adata[i][ib], bvalues[kb]));\n            }\n          } // check column has been processed and value != 0\n\n\n          if (last === mark && !eq(cij, zero)) {\n            // push row & value\n            cindex.push(i);\n            cvalues.push(cij);\n          }\n        }\n      }\n    } // update ptr\n\n\n    cptr[bcolumns] = cindex.length; // return sparse matrix\n\n    return c;\n  }\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            SparseMatrix    (MxN)\n   * @param {Matrix} b            Dense Vector (N)\n   *\n   * @return {Matrix}             SparseMatrix    (M, 1)\n   */\n\n\n  function _multiplySparseMatrixVector(a, b) {\n    // a sparse\n    var avalues = a._values;\n    var aindex = a._index;\n    var aptr = a._ptr;\n    var adt = a._datatype; // validate a matrix\n\n    if (!avalues) {\n      throw new Error('Cannot multiply Pattern only Matrix times Dense Matrix');\n    } // b dense\n\n\n    var bdata = b._data;\n    var bdt = b._datatype; // rows & columns\n\n    var arows = a._size[0];\n    var brows = b._size[0]; // result\n\n    var cvalues = [];\n    var cindex = [];\n    var cptr = []; // datatype\n\n    var dt; // addScalar signature to use\n\n    var af = addScalar; // multiplyScalar signature to use\n\n    var mf = multiplyScalar; // equalScalar signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0; // process data types\n\n    if (adt && bdt && adt === bdt && typeof adt === 'string') {\n      // datatype\n      dt = adt; // find signatures that matches (dt, dt)\n\n      af = typed.find(addScalar, [dt, dt]);\n      mf = typed.find(multiplyScalar, [dt, dt]);\n      eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt);\n    } // workspace\n\n\n    var x = []; // vector with marks indicating a value x[i] exists in a given column\n\n    var w = []; // update ptr\n\n    cptr[0] = 0; // rows in b\n\n    for (var ib = 0; ib < brows; ib++) {\n      // b[ib]\n      var vbi = bdata[ib]; // check b[ib] != 0, avoid loops\n\n      if (!eq(vbi, zero)) {\n        // A values & index in ib column\n        for (var ka0 = aptr[ib], ka1 = aptr[ib + 1], ka = ka0; ka < ka1; ka++) {\n          // a row\n          var ia = aindex[ka]; // check value exists in current j\n\n          if (!w[ia]) {\n            // ia is new entry in j\n            w[ia] = true; // add i to pattern of C\n\n            cindex.push(ia); // x(ia) = A\n\n            x[ia] = mf(vbi, avalues[ka]);\n          } else {\n            // i exists in C already\n            x[ia] = af(x[ia], mf(vbi, avalues[ka]));\n          }\n        }\n      }\n    } // copy values from x to column jb of c\n\n\n    for (var p1 = cindex.length, p = 0; p < p1; p++) {\n      // row\n      var ic = cindex[p]; // copy value\n\n      cvalues[p] = x[ic];\n    } // update ptr\n\n\n    cptr[1] = cindex.length; // return sparse matrix\n\n    return new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [arows, 1],\n      datatype: dt\n    });\n  }\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            SparseMatrix      (MxN)\n   * @param {Matrix} b            DenseMatrix       (NxC)\n   *\n   * @return {Matrix}             SparseMatrix      (MxC)\n   */\n\n\n  function _multiplySparseMatrixDenseMatrix(a, b) {\n    // a sparse\n    var avalues = a._values;\n    var aindex = a._index;\n    var aptr = a._ptr;\n    var adt = a._datatype; // validate a matrix\n\n    if (!avalues) {\n      throw new Error('Cannot multiply Pattern only Matrix times Dense Matrix');\n    } // b dense\n\n\n    var bdata = b._data;\n    var bdt = b._datatype; // rows & columns\n\n    var arows = a._size[0];\n    var brows = b._size[0];\n    var bcolumns = b._size[1]; // datatype\n\n    var dt; // addScalar signature to use\n\n    var af = addScalar; // multiplyScalar signature to use\n\n    var mf = multiplyScalar; // equalScalar signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0; // process data types\n\n    if (adt && bdt && adt === bdt && typeof adt === 'string') {\n      // datatype\n      dt = adt; // find signatures that matches (dt, dt)\n\n      af = typed.find(addScalar, [dt, dt]);\n      mf = typed.find(multiplyScalar, [dt, dt]);\n      eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt);\n    } // result\n\n\n    var cvalues = [];\n    var cindex = [];\n    var cptr = []; // c matrix\n\n    var c = new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [arows, bcolumns],\n      datatype: dt\n    }); // workspace\n\n    var x = []; // vector with marks indicating a value x[i] exists in a given column\n\n    var w = []; // loop b columns\n\n    for (var jb = 0; jb < bcolumns; jb++) {\n      // update ptr\n      cptr[jb] = cindex.length; // mark in workspace for current column\n\n      var mark = jb + 1; // rows in jb\n\n      for (var ib = 0; ib < brows; ib++) {\n        // b[ib, jb]\n        var vbij = bdata[ib][jb]; // check b[ib, jb] != 0, avoid loops\n\n        if (!eq(vbij, zero)) {\n          // A values & index in ib column\n          for (var ka0 = aptr[ib], ka1 = aptr[ib + 1], ka = ka0; ka < ka1; ka++) {\n            // a row\n            var ia = aindex[ka]; // check value exists in current j\n\n            if (w[ia] !== mark) {\n              // ia is new entry in j\n              w[ia] = mark; // add i to pattern of C\n\n              cindex.push(ia); // x(ia) = A\n\n              x[ia] = mf(vbij, avalues[ka]);\n            } else {\n              // i exists in C already\n              x[ia] = af(x[ia], mf(vbij, avalues[ka]));\n            }\n          }\n        }\n      } // copy values from x to column jb of c\n\n\n      for (var p0 = cptr[jb], p1 = cindex.length, p = p0; p < p1; p++) {\n        // row\n        var ic = cindex[p]; // copy value\n\n        cvalues[p] = x[ic];\n      }\n    } // update ptr\n\n\n    cptr[bcolumns] = cindex.length; // return sparse matrix\n\n    return c;\n  }\n  /**\n   * C = A * B\n   *\n   * @param {Matrix} a            SparseMatrix      (MxN)\n   * @param {Matrix} b            SparseMatrix      (NxC)\n   *\n   * @return {Matrix}             SparseMatrix      (MxC)\n   */\n\n\n  function _multiplySparseMatrixSparseMatrix(a, b) {\n    // a sparse\n    var avalues = a._values;\n    var aindex = a._index;\n    var aptr = a._ptr;\n    var adt = a._datatype; // b sparse\n\n    var bvalues = b._values;\n    var bindex = b._index;\n    var bptr = b._ptr;\n    var bdt = b._datatype; // rows & columns\n\n    var arows = a._size[0];\n    var bcolumns = b._size[1]; // flag indicating both matrices (a & b) contain data\n\n    var values = avalues && bvalues; // datatype\n\n    var dt; // addScalar signature to use\n\n    var af = addScalar; // multiplyScalar signature to use\n\n    var mf = multiplyScalar; // process data types\n\n    if (adt && bdt && adt === bdt && typeof adt === 'string') {\n      // datatype\n      dt = adt; // find signatures that matches (dt, dt)\n\n      af = typed.find(addScalar, [dt, dt]);\n      mf = typed.find(multiplyScalar, [dt, dt]);\n    } // result\n\n\n    var cvalues = values ? [] : undefined;\n    var cindex = [];\n    var cptr = []; // c matrix\n\n    var c = new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [arows, bcolumns],\n      datatype: dt\n    }); // workspace\n\n    var x = values ? [] : undefined; // vector with marks indicating a value x[i] exists in a given column\n\n    var w = []; // variables\n\n    var ka, ka0, ka1, kb, kb0, kb1, ia, ib; // loop b columns\n\n    for (var jb = 0; jb < bcolumns; jb++) {\n      // update ptr\n      cptr[jb] = cindex.length; // mark in workspace for current column\n\n      var mark = jb + 1; // B values & index in j\n\n      for (kb0 = bptr[jb], kb1 = bptr[jb + 1], kb = kb0; kb < kb1; kb++) {\n        // b row\n        ib = bindex[kb]; // check we need to process values\n\n        if (values) {\n          // loop values in a[:,ib]\n          for (ka0 = aptr[ib], ka1 = aptr[ib + 1], ka = ka0; ka < ka1; ka++) {\n            // row\n            ia = aindex[ka]; // check value exists in current j\n\n            if (w[ia] !== mark) {\n              // ia is new entry in j\n              w[ia] = mark; // add i to pattern of C\n\n              cindex.push(ia); // x(ia) = A\n\n              x[ia] = mf(bvalues[kb], avalues[ka]);\n            } else {\n              // i exists in C already\n              x[ia] = af(x[ia], mf(bvalues[kb], avalues[ka]));\n            }\n          }\n        } else {\n          // loop values in a[:,ib]\n          for (ka0 = aptr[ib], ka1 = aptr[ib + 1], ka = ka0; ka < ka1; ka++) {\n            // row\n            ia = aindex[ka]; // check value exists in current j\n\n            if (w[ia] !== mark) {\n              // ia is new entry in j\n              w[ia] = mark; // add i to pattern of C\n\n              cindex.push(ia);\n            }\n          }\n        }\n      } // check we need to process matrix values (pattern matrix)\n\n\n      if (values) {\n        // copy values from x to column jb of c\n        for (var p0 = cptr[jb], p1 = cindex.length, p = p0; p < p1; p++) {\n          // row\n          var ic = cindex[p]; // copy value\n\n          cvalues[p] = x[ic];\n        }\n      }\n    } // update ptr\n\n\n    cptr[bcolumns] = cindex.length; // return sparse matrix\n\n    return c;\n  }\n\n  multiply.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['multiply'], \"${args[1]}\\\\right)\")\n  };\n  return multiply;\n}\n\nexports.name = 'multiply';\nexports.factory = factory;","'use strict';\n\nvar nearlyEqual = require('../../utils/number').nearlyEqual;\n\nvar bigNearlyEqual = require('../../utils/bignumber/nearlyEqual');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Test whether two values are equal.\n   *\n   * @param  {number | BigNumber | Fraction | boolean | Complex | Unit} x   First value to compare\n   * @param  {number | BigNumber | Fraction | boolean | Complex} y          Second value to compare\n   * @return {boolean}                                                  Returns true when the compared values are equal, else returns false\n   * @private\n   */\n  var equalScalar = typed('equalScalar', {\n    'boolean, boolean': function booleanBoolean(x, y) {\n      return x === y;\n    },\n    'number, number': function numberNumber(x, y) {\n      return x === y || nearlyEqual(x, y, config.epsilon);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return x.eq(y) || bigNearlyEqual(x, y, config.epsilon);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.equals(y);\n    },\n    'Complex, Complex': function ComplexComplex(x, y) {\n      return x.equals(y);\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      if (!x.equalBase(y)) {\n        throw new Error('Cannot compare units with different base');\n      }\n\n      return equalScalar(x.value, y.value);\n    }\n  });\n  return equalScalar;\n}\n\nexports.factory = factory;","'use strict';\n/**\n * Create a range error with the message:\n *     'Dimension mismatch (<actual size> != <expected size>)'\n * @param {number | number[]} actual        The actual size\n * @param {number | number[]} expected      The expected size\n * @param {string} [relation='!=']          Optional relation between actual\n *                                          and expected size: '!=', '<', etc.\n * @extends RangeError\n */\n\nfunction DimensionError(actual, expected, relation) {\n  if (!(this instanceof DimensionError)) {\n    throw new SyntaxError('Constructor must be called with the new operator');\n  }\n\n  this.actual = actual;\n  this.expected = expected;\n  this.relation = relation;\n  this.message = 'Dimension mismatch (' + (Array.isArray(actual) ? '[' + actual.join(', ') + ']' : actual) + ' ' + (this.relation || '!=') + ' ' + (Array.isArray(expected) ? '[' + expected.join(', ') + ']' : expected) + ')';\n  this.stack = new Error().stack;\n}\n\nDimensionError.prototype = new RangeError();\nDimensionError.prototype.constructor = RangeError;\nDimensionError.prototype.name = 'DimensionError';\nDimensionError.prototype.isDimensionError = true;\nmodule.exports = DimensionError;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var numeric = load(require('../../type/numeric'));\n  var getTypeOf = load(require('../../function/utils/typeof'));\n  /**\n   * Divide two scalar values, `x / y`.\n   * This function is meant for internal use: it is used by the public functions\n   * `divide` and `inv`.\n   *\n   * This function does not support collections (Array or Matrix), and does\n   * not validate the number of of inputs.\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit} x   Numerator\n   * @param  {number | BigNumber | Fraction | Complex} y          Denominator\n   * @return {number | BigNumber | Fraction | Complex | Unit}                      Quotient, `x / y`\n   * @private\n   */\n\n  var divideScalar = typed('divide', {\n    'number, number': function numberNumber(x, y) {\n      return x / y;\n    },\n    'Complex, Complex': function ComplexComplex(x, y) {\n      return x.div(y);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return x.div(y);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.div(y);\n    },\n    'Unit, number | Fraction | BigNumber': function UnitNumberFractionBigNumber(x, y) {\n      var res = x.clone(); // TODO: move the divide function to Unit.js, it uses internals of Unit\n\n      var one = numeric(1, getTypeOf(y));\n      res.value = divideScalar(res.value === null ? res._normalize(one) : res.value, y);\n      return res;\n    },\n    'number | Fraction | BigNumber, Unit': function numberFractionBigNumberUnit(x, y) {\n      var res = y.clone();\n      res = res.pow(-1); // TODO: move the divide function to Unit.js, it uses internals of Unit\n\n      var one = numeric(1, getTypeOf(x));\n      res.value = divideScalar(x, y.value === null ? y._normalize(one) : y.value);\n      return res;\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      return x.divide(y);\n    }\n  });\n  return divideScalar;\n}\n\nexports.factory = factory;","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar hasOwnProperty = require('./object').hasOwnProperty;\n/**\n * Get a property of a plain object\n * Throws an error in case the object is not a plain object or the\n * property is not defined on the object itself\n * @param {Object} object\n * @param {string} prop\n * @return {*} Returns the property value when safe\n */\n\n\nfunction getSafeProperty(object, prop) {\n  // only allow getting safe properties of a plain object\n  if (isPlainObject(object) && isSafeProperty(object, prop)) {\n    return object[prop];\n  }\n\n  if (typeof object[prop] === 'function' && isSafeMethod(object, prop)) {\n    throw new Error('Cannot access method \"' + prop + '\" as a property');\n  }\n\n  throw new Error('No access to property \"' + prop + '\"');\n}\n/**\n * Set a property on a plain object.\n * Throws an error in case the object is not a plain object or the\n * property would override an inherited property like .constructor or .toString\n * @param {Object} object\n * @param {string} prop\n * @param {*} value\n * @return {*} Returns the value\n */\n// TODO: merge this function into access.js?\n\n\nfunction setSafeProperty(object, prop, value) {\n  // only allow setting safe properties of a plain object\n  if (isPlainObject(object) && isSafeProperty(object, prop)) {\n    object[prop] = value;\n    return value;\n  }\n\n  throw new Error('No access to property \"' + prop + '\"');\n}\n/**\n * Test whether a property is safe to use for an object.\n * For example .toString and .constructor are not safe\n * @param {string} prop\n * @return {boolean} Returns true when safe\n */\n\n\nfunction isSafeProperty(object, prop) {\n  if (!object || _typeof(object) !== 'object') {\n    return false;\n  } // SAFE: whitelisted\n  // e.g length\n\n\n  if (hasOwnProperty(safeNativeProperties, prop)) {\n    return true;\n  } // UNSAFE: inherited from Object prototype\n  // e.g constructor\n\n\n  if (prop in Object.prototype) {\n    // 'in' is used instead of hasOwnProperty for nodejs v0.10\n    // which is inconsistent on root prototypes. It is safe\n    // here because Object.prototype is a root object\n    return false;\n  } // UNSAFE: inherited from Function prototype\n  // e.g call, apply\n\n\n  if (prop in Function.prototype) {\n    // 'in' is used instead of hasOwnProperty for nodejs v0.10\n    // which is inconsistent on root prototypes. It is safe\n    // here because Function.prototype is a root object\n    return false;\n  }\n\n  return true;\n}\n/**\n * Validate whether a method is safe.\n * Throws an error when that's not the case.\n * @param {Object} object\n * @param {string} method\n */\n// TODO: merge this function into assign.js?\n\n\nfunction validateSafeMethod(object, method) {\n  if (!isSafeMethod(object, method)) {\n    throw new Error('No access to method \"' + method + '\"');\n  }\n}\n/**\n * Check whether a method is safe.\n * Throws an error when that's not the case (for example for `constructor`).\n * @param {Object} object\n * @param {string} method\n * @return {boolean} Returns true when safe, false otherwise\n */\n\n\nfunction isSafeMethod(object, method) {\n  if (!object || typeof object[method] !== 'function') {\n    return false;\n  } // UNSAFE: ghosted\n  // e.g overridden toString\n  // Note that IE10 doesn't support __proto__ and we can't do this check there.\n\n\n  if (hasOwnProperty(object, method) && Object.getPrototypeOf && method in Object.getPrototypeOf(object)) {\n    return false;\n  } // SAFE: whitelisted\n  // e.g toString\n\n\n  if (hasOwnProperty(safeNativeMethods, method)) {\n    return true;\n  } // UNSAFE: inherited from Object prototype\n  // e.g constructor\n\n\n  if (method in Object.prototype) {\n    // 'in' is used instead of hasOwnProperty for nodejs v0.10\n    // which is inconsistent on root prototypes. It is safe\n    // here because Object.prototype is a root object\n    return false;\n  } // UNSAFE: inherited from Function prototype\n  // e.g call, apply\n\n\n  if (method in Function.prototype) {\n    // 'in' is used instead of hasOwnProperty for nodejs v0.10\n    // which is inconsistent on root prototypes. It is safe\n    // here because Function.prototype is a root object\n    return false;\n  }\n\n  return true;\n}\n\nfunction isPlainObject(object) {\n  return _typeof(object) === 'object' && object && object.constructor === Object;\n}\n\nvar safeNativeProperties = {\n  length: true,\n  name: true\n};\nvar safeNativeMethods = {\n  toString: true,\n  valueOf: true,\n  toLocaleString: true\n};\nexports.getSafeProperty = getSafeProperty;\nexports.setSafeProperty = setSafeProperty;\nexports.isSafeProperty = isSafeProperty;\nexports.validateSafeMethod = validateSafeMethod;\nexports.isSafeMethod = isSafeMethod;\nexports.isPlainObject = isPlainObject;","'use strict';\n\nvar extend = require('../../utils/object').extend;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var addScalar = load(require('./addScalar'));\n\n  var latex = require('../../utils/latex.js');\n\n  var algorithm01 = load(require('../../type/matrix/utils/algorithm01'));\n  var algorithm04 = load(require('../../type/matrix/utils/algorithm04'));\n  var algorithm10 = load(require('../../type/matrix/utils/algorithm10'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Add two or more values, `x + y`.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.add(x, y)\n   *    math.add(x, y, z, ...)\n   *\n   * Examples:\n   *\n   *    math.add(2, 3)               // returns number 5\n   *    math.add(2, 3, 4)            // returns number 9\n   *\n   *    const a = math.complex(2, 3)\n   *    const b = math.complex(-4, 1)\n   *    math.add(a, b)               // returns Complex -2 + 4i\n   *\n   *    math.add([1, 2, 3], 4)       // returns Array [5, 6, 7]\n   *\n   *    const c = math.unit('5 cm')\n   *    const d = math.unit('2.1 mm')\n   *    math.add(c, d)               // returns Unit 52.1 mm\n   *\n   *    math.add(\"2.3\", \"4\")         // returns number 6.3\n   *\n   * See also:\n   *\n   *    subtract, sum\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x First value to add\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} y Second value to add\n   * @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} Sum of `x` and `y`\n   */\n\n  var add = typed('add', extend({\n    // we extend the signatures of addScalar with signatures dealing with matrices\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, addScalar);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm01(x, y, addScalar, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm01(y, x, addScalar, true);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm04(x, y, addScalar);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return add(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return add(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return add(x, matrix(y));\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, addScalar, false);\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm10(x, y, addScalar, false);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, addScalar, true);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm10(y, x, addScalar, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, addScalar, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, addScalar, true).valueOf();\n    },\n    'any, any': addScalar,\n    'any, any, ...any': function anyAnyAny(x, y, rest) {\n      var result = add(x, y);\n\n      for (var i = 0; i < rest.length; i++) {\n        result = add(result, rest[i]);\n      }\n\n      return result;\n    }\n  }, addScalar.signatures));\n  add.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['add'], \"${args[1]}\\\\right)\")\n  };\n  return add;\n}\n\nexports.name = 'add';\nexports.factory = factory;","'use strict';\n\nvar DimensionError = require('../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var addScalar = load(require('./addScalar'));\n  var unaryMinus = load(require('./unaryMinus'));\n  var algorithm01 = load(require('../../type/matrix/utils/algorithm01'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm05 = load(require('../../type/matrix/utils/algorithm05'));\n  var algorithm10 = load(require('../../type/matrix/utils/algorithm10'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14')); // TODO: split function subtract in two: subtract and subtractScalar\n\n  /**\n   * Subtract two values, `x - y`.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.subtract(x, y)\n   *\n   * Examples:\n   *\n   *    math.subtract(5.3, 2)        // returns number 3.3\n   *\n   *    const a = math.complex(2, 3)\n   *    const b = math.complex(4, 1)\n   *    math.subtract(a, b)          // returns Complex -2 + 2i\n   *\n   *    math.subtract([5, 7, 4], 4)  // returns Array [1, 3, 0]\n   *\n   *    const c = math.unit('2.1 km')\n   *    const d = math.unit('500m')\n   *    math.subtract(c, d)          // returns Unit 1.6 km\n   *\n   * See also:\n   *\n   *    add\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x\n   *            Initial value\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} y\n   *            Value to subtract from `x`\n   * @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix}\n   *            Subtraction of `x` and `y`\n   */\n\n  var subtract = typed('subtract', {\n    'number, number': function numberNumber(x, y) {\n      return x - y;\n    },\n    'Complex, Complex': function ComplexComplex(x, y) {\n      return x.sub(y);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return x.minus(y);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.sub(y);\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      if (x.value === null) {\n        throw new Error('Parameter x contains a unit with undefined value');\n      }\n\n      if (y.value === null) {\n        throw new Error('Parameter y contains a unit with undefined value');\n      }\n\n      if (!x.equalBase(y)) {\n        throw new Error('Units do not match');\n      }\n\n      var res = x.clone();\n      res.value = subtract(res.value, y.value);\n      res.fixPrefix = false;\n      return res;\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      checkEqualDimensions(x, y);\n      return algorithm05(x, y, subtract);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      checkEqualDimensions(x, y);\n      return algorithm03(y, x, subtract, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      checkEqualDimensions(x, y);\n      return algorithm01(x, y, subtract, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      checkEqualDimensions(x, y);\n      return algorithm13(x, y, subtract);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return subtract(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return subtract(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return subtract(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm10(x, unaryMinus(y), addScalar);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, subtract);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm10(y, x, subtract, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, subtract, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, subtract, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, subtract, true).valueOf();\n    }\n  });\n  subtract.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['subtract'], \"${args[1]}\\\\right)\")\n  };\n  return subtract;\n}\n/**\n * Check whether matrix x and y have the same number of dimensions.\n * Throws a DimensionError when dimensions are not equal\n * @param {Matrix} x\n * @param {Matrix} y\n */\n\n\nfunction checkEqualDimensions(x, y) {\n  var xsize = x.size();\n  var ysize = y.size();\n\n  if (xsize.length !== ysize.length) {\n    throw new DimensionError(xsize.length, ysize.length);\n  }\n}\n\nexports.name = 'subtract';\nexports.factory = factory;","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar keywords = require('../keywords');\n\nvar deepEqual = require('../../utils/object').deepEqual;\n\nvar hasOwnProperty = require('../../utils/object').hasOwnProperty;\n\nfunction factory(type, config, load, typed, math) {\n  /**\n   * Node\n   */\n  function Node() {\n    if (!(this instanceof Node)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n  }\n  /**\n   * Evaluate the node\n   * @param {Object} [scope]  Scope to read/write variables\n   * @return {*}              Returns the result\n   */\n\n\n  Node.prototype.eval = function (scope) {\n    return this.compile().eval(scope);\n  };\n\n  Node.prototype.type = 'Node';\n  Node.prototype.isNode = true;\n  Node.prototype.comment = '';\n  /**\n   * Compile the node into an optimized, evauatable JavaScript function\n   * @return {{eval: function([Object])}} expr  Returns an object with a function 'eval',\n   *                                  which can be invoked as expr.eval([scope: Object]),\n   *                                  where scope is an optional object with\n   *                                  variables.\n   */\n\n  Node.prototype.compile = function () {\n    var expr = this._compile(math.expression.mathWithTransform, {});\n\n    var args = {};\n    var context = null;\n    return {\n      eval: function evalNode(scope) {\n        var s = scope || {};\n\n        _validateScope(s);\n\n        return expr(s, args, context);\n      }\n    };\n  };\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n\n  Node.prototype._compile = function (math, argNames) {\n    throw new Error('Method _compile should be implemented by type ' + this.type);\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  Node.prototype.forEach = function (callback) {\n    // must be implemented by each of the Node implementations\n    throw new Error('Cannot run forEach on a Node interface');\n  };\n  /**\n   * Create a new Node having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {OperatorNode} Returns a transformed copy of the node\n   */\n\n\n  Node.prototype.map = function (callback) {\n    // must be implemented by each of the Node implementations\n    throw new Error('Cannot run map on a Node interface');\n  };\n  /**\n   * Validate whether an object is a Node, for use with map\n   * @param {Node} node\n   * @returns {Node} Returns the input if it's a node, else throws an Error\n   * @protected\n   */\n\n\n  Node.prototype._ifNode = function (node) {\n    if (!type.isNode(node)) {\n      throw new TypeError('Callback function must return a Node');\n    }\n\n    return node;\n  };\n  /**\n   * Recursively traverse all nodes in a node tree. Executes given callback for\n   * this node and each of its child nodes.\n   * @param {function(node: Node, path: string, parent: Node)} callback\n   *          A callback called for every node in the node tree.\n   */\n\n\n  Node.prototype.traverse = function (callback) {\n    // execute callback for itself\n    callback(this, null, null); // eslint-disable-line standard/no-callback-literal\n    // recursively traverse over all childs of a node\n\n    function _traverse(node, callback) {\n      node.forEach(function (child, path, parent) {\n        callback(child, path, parent);\n\n        _traverse(child, callback);\n      });\n    }\n\n    _traverse(this, callback);\n  };\n  /**\n   * Recursively transform a node tree via a transform function.\n   *\n   * For example, to replace all nodes of type SymbolNode having name 'x' with a\n   * ConstantNode with value 2:\n   *\n   *     const res = Node.transform(function (node, path, parent) {\n   *       if (node && node.isSymbolNode) && (node.name === 'x')) {\n   *         return new ConstantNode(2)\n   *       }\n   *       else {\n   *         return node\n   *       }\n   *     })\n   *\n   * @param {function(node: Node, path: string, parent: Node) : Node} callback\n   *          A mapping function accepting a node, and returning\n   *          a replacement for the node or the original node.\n   *          Signature: callback(node: Node, index: string, parent: Node) : Node\n   * @return {Node} Returns the original node or its replacement\n   */\n\n\n  Node.prototype.transform = function (callback) {\n    // traverse over all childs\n    function _transform(node, callback) {\n      return node.map(function (child, path, parent) {\n        var replacement = callback(child, path, parent);\n        return _transform(replacement, callback);\n      });\n    }\n\n    var replacement = callback(this, null, null); // eslint-disable-line standard/no-callback-literal\n\n    return _transform(replacement, callback);\n  };\n  /**\n   * Find any node in the node tree matching given filter function. For example, to\n   * find all nodes of type SymbolNode having name 'x':\n   *\n   *     const results = Node.filter(function (node) {\n   *       return (node && node.isSymbolNode) && (node.name === 'x')\n   *     })\n   *\n   * @param {function(node: Node, path: string, parent: Node) : Node} callback\n   *            A test function returning true when a node matches, and false\n   *            otherwise. Function signature:\n   *            callback(node: Node, index: string, parent: Node) : boolean\n   * @return {Node[]} nodes       An array with nodes matching given filter criteria\n   */\n\n\n  Node.prototype.filter = function (callback) {\n    var nodes = [];\n    this.traverse(function (node, path, parent) {\n      if (callback(node, path, parent)) {\n        nodes.push(node);\n      }\n    });\n    return nodes;\n  }; // TODO: deprecated since version 1.1.0, remove this some day\n\n\n  Node.prototype.find = function () {\n    throw new Error('Function Node.find is deprecated. Use Node.filter instead.');\n  }; // TODO: deprecated since version 1.1.0, remove this some day\n\n\n  Node.prototype.match = function () {\n    throw new Error('Function Node.match is deprecated. See functions Node.filter, Node.transform, Node.traverse.');\n  };\n  /**\n   * Create a shallow clone of this node\n   * @return {Node}\n   */\n\n\n  Node.prototype.clone = function () {\n    // must be implemented by each of the Node implementations\n    throw new Error('Cannot clone a Node interface');\n  };\n  /**\n   * Create a deep clone of this node\n   * @return {Node}\n   */\n\n\n  Node.prototype.cloneDeep = function () {\n    return this.map(function (node) {\n      return node.cloneDeep();\n    });\n  };\n  /**\n   * Deep compare this node with another node.\n   * @param {Node} other\n   * @return {boolean} Returns true when both nodes are of the same type and\n   *                   contain the same values (as do their childs)\n   */\n\n\n  Node.prototype.equals = function (other) {\n    return other ? deepEqual(this, other) : false;\n  };\n  /**\n   * Get string representation. (wrapper function)\n   *\n   * This function can get an object of the following form:\n   * {\n   *    handler: //This can be a callback function of the form\n   *             // \"function callback(node, options)\"or\n   *             // a map that maps function names (used in FunctionNodes)\n   *             // to callbacks\n   *    parenthesis: \"keep\" //the parenthesis option (This is optional)\n   * }\n   *\n   * @param {Object} [options]\n   * @return {string}\n   */\n\n\n  Node.prototype.toString = function (options) {\n    var customString;\n\n    if (options && _typeof(options) === 'object') {\n      switch (_typeof(options.handler)) {\n        case 'object':\n        case 'undefined':\n          break;\n\n        case 'function':\n          customString = options.handler(this, options);\n          break;\n\n        default:\n          throw new TypeError('Object or function expected as callback');\n      }\n    }\n\n    if (typeof customString !== 'undefined') {\n      return customString;\n    }\n\n    return this._toString(options);\n  };\n  /**\n   * Get a JSON representation of the node\n   * Both .toJSON() and the static .fromJSON(json) should be implemented by all\n   * implementations of Node\n   * @returns {Object}\n   */\n\n\n  Node.prototype.toJSON = function () {\n    throw new Error('Cannot serialize object: toJSON not implemented by ' + this.type);\n  };\n  /**\n   * Get HTML representation. (wrapper function)\n   *\n   * This function can get an object of the following form:\n   * {\n   *    handler: //This can be a callback function of the form\n   *             // \"function callback(node, options)\" or\n   *             // a map that maps function names (used in FunctionNodes)\n   *             // to callbacks\n   *    parenthesis: \"keep\" //the parenthesis option (This is optional)\n   * }\n   *\n   * @param {Object} [options]\n   * @return {string}\n   */\n\n\n  Node.prototype.toHTML = function (options) {\n    var customString;\n\n    if (options && _typeof(options) === 'object') {\n      switch (_typeof(options.handler)) {\n        case 'object':\n        case 'undefined':\n          break;\n\n        case 'function':\n          customString = options.handler(this, options);\n          break;\n\n        default:\n          throw new TypeError('Object or function expected as callback');\n      }\n    }\n\n    if (typeof customString !== 'undefined') {\n      return customString;\n    }\n\n    return this.toHTML(options);\n  };\n  /**\n   * Internal function to generate the string output.\n   * This has to be implemented by every Node\n   *\n   * @throws {Error}\n   */\n\n\n  Node.prototype._toString = function () {\n    // must be implemented by each of the Node implementations\n    throw new Error('_toString not implemented for ' + this.type);\n  };\n  /**\n   * Get LaTeX representation. (wrapper function)\n   *\n   * This function can get an object of the following form:\n   * {\n   *    handler: //This can be a callback function of the form\n   *             // \"function callback(node, options)\"or\n   *             // a map that maps function names (used in FunctionNodes)\n   *             // to callbacks\n   *    parenthesis: \"keep\" //the parenthesis option (This is optional)\n   * }\n   *\n   * @param {Object} [options]\n   * @return {string}\n   */\n\n\n  Node.prototype.toTex = function (options) {\n    var customTex;\n\n    if (options && _typeof(options) === 'object') {\n      switch (_typeof(options.handler)) {\n        case 'object':\n        case 'undefined':\n          break;\n\n        case 'function':\n          customTex = options.handler(this, options);\n          break;\n\n        default:\n          throw new TypeError('Object or function expected as callback');\n      }\n    }\n\n    if (typeof customTex !== 'undefined') {\n      return customTex;\n    }\n\n    return this._toTex(options);\n  };\n  /**\n   * Internal function to generate the LaTeX output.\n   * This has to be implemented by every Node\n   *\n   * @param {Object} [options]\n   * @throws {Error}\n   */\n\n\n  Node.prototype._toTex = function (options) {\n    // must be implemented by each of the Node implementations\n    throw new Error('_toTex not implemented for ' + this.type);\n  };\n  /**\n   * Get identifier.\n   * @return {string}\n   */\n\n\n  Node.prototype.getIdentifier = function () {\n    return this.type;\n  };\n  /**\n   * Get the content of the current Node.\n   * @return {Node} node\n   **/\n\n\n  Node.prototype.getContent = function () {\n    return this;\n  };\n  /**\n   * Validate the symbol names of a scope.\n   * Throws an error when the scope contains an illegal symbol.\n   * @param {Object} scope\n   */\n\n\n  function _validateScope(scope) {\n    for (var symbol in scope) {\n      if (hasOwnProperty(scope, symbol)) {\n        if (symbol in keywords) {\n          throw new Error('Scope contains an illegal symbol, \"' + symbol + '\" is a reserved keyword');\n        }\n      }\n    }\n  }\n\n  return Node;\n}\n\nexports.name = 'Node';\nexports.path = 'expression.node';\nexports.math = true; // request access to the math namespace as 5th argument of the factory function\n\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Add two scalar values, `x + y`.\n   * This function is meant for internal use: it is used by the public function\n   * `add`\n   *\n   * This function does not support collections (Array or Matrix), and does\n   * not validate the number of of inputs.\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit} x   First value to add\n   * @param  {number | BigNumber | Fraction | Complex} y          Second value to add\n   * @return {number | BigNumber | Fraction | Complex | Unit}                      Sum of `x` and `y`\n   * @private\n   */\n  var add = typed('add', {\n    'number, number': function numberNumber(x, y) {\n      return x + y;\n    },\n    'Complex, Complex': function ComplexComplex(x, y) {\n      return x.add(y);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return x.plus(y);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.add(y);\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      if (x.value === null || x.value === undefined) throw new Error('Parameter x contains a unit with undefined value');\n      if (y.value === null || y.value === undefined) throw new Error('Parameter y contains a unit with undefined value');\n      if (!x.equalBase(y)) throw new Error('Units do not match');\n      var res = x.clone();\n      res.value = add(res.value, y.value);\n      res.fixPrefix = false;\n      return res;\n    }\n  });\n  return add;\n}\n\nexports.factory = factory;","'use strict';\n\nvar DimensionError = require('../../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var DenseMatrix = type.DenseMatrix;\n  /**\n   * Iterates over SparseMatrix items and invokes the callback function f(Dij, Sij).\n   * Callback function invoked M*N times.\n   *\n   *\n   *          ┌  f(Dij, Sij)  ; S(i,j) !== 0\n   * C(i,j) = ┤\n   *          └  f(Dij, 0)    ; otherwise\n   *\n   *\n   * @param {Matrix}   denseMatrix       The DenseMatrix instance (D)\n   * @param {Matrix}   sparseMatrix      The SparseMatrix instance (C)\n   * @param {Function} callback          The f(Dij,Sij) operation to invoke, where Dij = DenseMatrix(i,j) and Sij = SparseMatrix(i,j)\n   * @param {boolean}  inverse           A true value indicates callback should be invoked f(Sij,Dij)\n   *\n   * @return {Matrix}                    DenseMatrix (C)\n   *\n   * see https://github.com/josdejong/mathjs/pull/346#issuecomment-97477571\n   */\n\n  var algorithm03 = function algorithm03(denseMatrix, sparseMatrix, callback, inverse) {\n    // dense matrix arrays\n    var adata = denseMatrix._data;\n    var asize = denseMatrix._size;\n    var adt = denseMatrix._datatype; // sparse matrix arrays\n\n    var bvalues = sparseMatrix._values;\n    var bindex = sparseMatrix._index;\n    var bptr = sparseMatrix._ptr;\n    var bsize = sparseMatrix._size;\n    var bdt = sparseMatrix._datatype; // validate dimensions\n\n    if (asize.length !== bsize.length) {\n      throw new DimensionError(asize.length, bsize.length);\n    } // check rows & columns\n\n\n    if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) {\n      throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')');\n    } // sparse matrix cannot be a Pattern matrix\n\n\n    if (!bvalues) {\n      throw new Error('Cannot perform operation on Dense Matrix and Pattern Sparse Matrix');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // zero value\n\n    var zero = 0; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string' && adt === bdt) {\n      // datatype\n      dt = adt; // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // result (DenseMatrix)\n\n\n    var cdata = []; // initialize dense matrix\n\n    for (var z = 0; z < rows; z++) {\n      // initialize row\n      cdata[z] = [];\n    } // workspace\n\n\n    var x = []; // marks indicating we have a value in x for a given column\n\n    var w = []; // loop columns in b\n\n    for (var j = 0; j < columns; j++) {\n      // column mark\n      var mark = j + 1; // values in column j\n\n      for (var k0 = bptr[j], k1 = bptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        var i = bindex[k]; // update workspace\n\n        x[i] = inverse ? cf(bvalues[k], adata[i][j]) : cf(adata[i][j], bvalues[k]);\n        w[i] = mark;\n      } // process workspace\n\n\n      for (var y = 0; y < rows; y++) {\n        // check we have a calculated value for current row\n        if (w[y] === mark) {\n          // use calculated value\n          cdata[y][j] = x[y];\n        } else {\n          // calculate value\n          cdata[y][j] = inverse ? cf(zero, adata[y][j]) : cf(adata[y][j], zero);\n        }\n      }\n    } // return dense matrix\n\n\n    return new DenseMatrix({\n      data: cdata,\n      size: [rows, columns],\n      datatype: dt\n    });\n  };\n\n  return algorithm03;\n}\n\nexports.name = 'algorithm03';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var DenseMatrix = type.DenseMatrix;\n  /**\n   * Iterates over SparseMatrix S nonzero items and invokes the callback function f(Sij, b).\n   * Callback function invoked MxN times.\n   *\n   *\n   *          ┌  f(Sij, b)  ; S(i,j) !== 0\n   * C(i,j) = ┤\n   *          └  f(0, b)    ; otherwise\n   *\n   *\n   * @param {Matrix}   s                 The SparseMatrix instance (S)\n   * @param {Scalar}   b                 The Scalar value\n   * @param {Function} callback          The f(Aij,b) operation to invoke\n   * @param {boolean}  inverse           A true value indicates callback should be invoked f(b,Sij)\n   *\n   * @return {Matrix}                    DenseMatrix (C)\n   *\n   * https://github.com/josdejong/mathjs/pull/346#issuecomment-97626813\n   */\n\n  var algorithm12 = function algorithm12(s, b, callback, inverse) {\n    // sparse matrix arrays\n    var avalues = s._values;\n    var aindex = s._index;\n    var aptr = s._ptr;\n    var asize = s._size;\n    var adt = s._datatype; // sparse matrix cannot be a Pattern matrix\n\n    if (!avalues) {\n      throw new Error('Cannot perform operation on Pattern Sparse Matrix and Scalar value');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string') {\n      // datatype\n      dt = adt; // convert b to the same datatype\n\n      b = typed.convert(b, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // result arrays\n\n\n    var cdata = []; // matrix\n\n    var c = new DenseMatrix({\n      data: cdata,\n      size: [rows, columns],\n      datatype: dt\n    }); // workspaces\n\n    var x = []; // marks indicating we have a value in x for a given column\n\n    var w = []; // loop columns\n\n    for (var j = 0; j < columns; j++) {\n      // columns mark\n      var mark = j + 1; // values in j\n\n      for (var k0 = aptr[j], k1 = aptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        var r = aindex[k]; // update workspace\n\n        x[r] = avalues[k];\n        w[r] = mark;\n      } // loop rows\n\n\n      for (var i = 0; i < rows; i++) {\n        // initialize C on first column\n        if (j === 0) {\n          // create row array\n          cdata[i] = [];\n        } // check sparse matrix has a value @ i,j\n\n\n        if (w[i] === mark) {\n          // invoke callback, update C\n          cdata[i][j] = inverse ? cf(b, x[i]) : cf(x[i], b);\n        } else {\n          // dense matrix value @ i, j\n          cdata[i][j] = inverse ? cf(b, 0) : cf(0, b);\n        }\n      }\n    } // return sparse matrix\n\n\n    return c;\n  };\n\n  return algorithm12;\n}\n\nexports.name = 'algorithm12';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var equalScalar = load(require('../../../function/relational/equalScalar'));\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Iterates over SparseMatrix S nonzero items and invokes the callback function f(Sij, b).\n   * Callback function invoked NZ times (number of nonzero items in S).\n   *\n   *\n   *          ┌  f(Sij, b)  ; S(i,j) !== 0\n   * C(i,j) = ┤\n   *          └  0          ; otherwise\n   *\n   *\n   * @param {Matrix}   s                 The SparseMatrix instance (S)\n   * @param {Scalar}   b                 The Scalar value\n   * @param {Function} callback          The f(Aij,b) operation to invoke\n   * @param {boolean}  inverse           A true value indicates callback should be invoked f(b,Sij)\n   *\n   * @return {Matrix}                    SparseMatrix (C)\n   *\n   * https://github.com/josdejong/mathjs/pull/346#issuecomment-97626813\n   */\n\n  var algorithm11 = function algorithm11(s, b, callback, inverse) {\n    // sparse matrix arrays\n    var avalues = s._values;\n    var aindex = s._index;\n    var aptr = s._ptr;\n    var asize = s._size;\n    var adt = s._datatype; // sparse matrix cannot be a Pattern matrix\n\n    if (!avalues) {\n      throw new Error('Cannot perform operation on Pattern Sparse Matrix and Scalar value');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string') {\n      // datatype\n      dt = adt; // find signature that matches (dt, dt)\n\n      eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt); // convert b to the same datatype\n\n      b = typed.convert(b, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // result arrays\n\n\n    var cvalues = [];\n    var cindex = [];\n    var cptr = []; // matrix\n\n    var c = new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [rows, columns],\n      datatype: dt\n    }); // loop columns\n\n    for (var j = 0; j < columns; j++) {\n      // initialize ptr\n      cptr[j] = cindex.length; // values in j\n\n      for (var k0 = aptr[j], k1 = aptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        var i = aindex[k]; // invoke callback\n\n        var v = inverse ? cf(b, avalues[k]) : cf(avalues[k], b); // check value is zero\n\n        if (!eq(v, zero)) {\n          // push index & value\n          cindex.push(i);\n          cvalues.push(v);\n        }\n      }\n    } // update ptr\n\n\n    cptr[columns] = cindex.length; // return sparse matrix\n\n    return c;\n  };\n\n  return algorithm11;\n}\n\nexports.name = 'algorithm11';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Multiply two scalar values, `x * y`.\n   * This function is meant for internal use: it is used by the public function\n   * `multiply`\n   *\n   * This function does not support collections (Array or Matrix), and does\n   * not validate the number of of inputs.\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit} x   First value to multiply\n   * @param  {number | BigNumber | Fraction | Complex} y          Second value to multiply\n   * @return {number | BigNumber | Fraction | Complex | Unit}                      Multiplication of `x` and `y`\n   * @private\n   */\n  var multiplyScalar = typed('multiplyScalar', {\n    'number, number': function numberNumber(x, y) {\n      return x * y;\n    },\n    'Complex, Complex': function ComplexComplex(x, y) {\n      return x.mul(y);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return x.times(y);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.mul(y);\n    },\n    'number | Fraction | BigNumber | Complex, Unit': function numberFractionBigNumberComplexUnit(x, y) {\n      var res = y.clone();\n      res.value = res.value === null ? res._normalize(x) : multiplyScalar(res.value, x);\n      return res;\n    },\n    'Unit, number | Fraction | BigNumber | Complex': function UnitNumberFractionBigNumberComplex(x, y) {\n      var res = x.clone();\n      res.value = res.value === null ? res._normalize(y) : multiplyScalar(res.value, y);\n      return res;\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      return x.multiply(y);\n    }\n  });\n  return multiplyScalar;\n}\n\nexports.factory = factory;","'use strict';\n\nvar clone = require('../../utils/object').clone;\n\nvar validateIndex = require('../../utils/array').validateIndex;\n\nvar getSafeProperty = require('../../utils/customs').getSafeProperty;\n\nvar setSafeProperty = require('../../utils/customs').setSafeProperty;\n\nvar DimensionError = require('../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Get or set a subset of a matrix or string.\n   *\n   * Syntax:\n   *     math.subset(value, index)                                // retrieve a subset\n   *     math.subset(value, index, replacement [, defaultValue])  // replace a subset\n   *\n   * Examples:\n   *\n   *     // get a subset\n   *     const d = [[1, 2], [3, 4]]\n   *     math.subset(d, math.index(1, 0))        // returns 3\n   *     math.subset(d, math.index([0, 1], 1))   // returns [[2], [4]]\n   *\n   *     // replace a subset\n   *     const e = []\n   *     const f = math.subset(e, math.index(0, [0, 2]), [5, 6])  // f = [[5, 6]]\n   *     const g = math.subset(f, math.index(1, 1), 7, 0)         // g = [[5, 6], [0, 7]]\n   *\n   * See also:\n   *\n   *     size, resize, squeeze, index\n   *\n   * @param {Array | Matrix | string} matrix  An array, matrix, or string\n   * @param {Index} index                     An index containing ranges for each\n   *                                          dimension\n   * @param {*} [replacement]                 An array, matrix, or scalar.\n   *                                          If provided, the subset is replaced with replacement.\n   *                                          If not provided, the subset is returned\n   * @param {*} [defaultValue=undefined]      Default value, filled in on new entries when\n   *                                          the matrix is resized. If not provided,\n   *                                          math.matrix elements will be left undefined.\n   * @return {Array | Matrix | string} Either the retrieved subset or the updated matrix.\n   */\n\n  var subset = typed('subset', {\n    // get subset\n    'Array, Index': function ArrayIndex(value, index) {\n      var m = matrix(value);\n      var subset = m.subset(index); // returns a Matrix\n\n      return index.isScalar() ? subset : subset.valueOf(); // return an Array (like the input)\n    },\n    'Matrix, Index': function MatrixIndex(value, index) {\n      return value.subset(index);\n    },\n    'Object, Index': _getObjectProperty,\n    'string, Index': _getSubstring,\n    // set subset\n    'Array, Index, any': function ArrayIndexAny(value, index, replacement) {\n      return matrix(clone(value)).subset(index, replacement, undefined).valueOf();\n    },\n    'Array, Index, any, any': function ArrayIndexAnyAny(value, index, replacement, defaultValue) {\n      return matrix(clone(value)).subset(index, replacement, defaultValue).valueOf();\n    },\n    'Matrix, Index, any': function MatrixIndexAny(value, index, replacement) {\n      return value.clone().subset(index, replacement);\n    },\n    'Matrix, Index, any, any': function MatrixIndexAnyAny(value, index, replacement, defaultValue) {\n      return value.clone().subset(index, replacement, defaultValue);\n    },\n    'string, Index, string': _setSubstring,\n    'string, Index, string, string': _setSubstring,\n    'Object, Index, any': _setObjectProperty\n  });\n  subset.toTex = undefined; // use default template\n\n  return subset;\n  /**\n   * Retrieve a subset of a string\n   * @param {string} str            string from which to get a substring\n   * @param {Index} index           An index containing ranges for each dimension\n   * @returns {string} substring\n   * @private\n   */\n\n  function _getSubstring(str, index) {\n    if (!type.isIndex(index)) {\n      // TODO: better error message\n      throw new TypeError('Index expected');\n    }\n\n    if (index.size().length !== 1) {\n      throw new DimensionError(index.size().length, 1);\n    } // validate whether the range is out of range\n\n\n    var strLen = str.length;\n    validateIndex(index.min()[0], strLen);\n    validateIndex(index.max()[0], strLen);\n    var range = index.dimension(0);\n    var substr = '';\n    range.forEach(function (v) {\n      substr += str.charAt(v);\n    });\n    return substr;\n  }\n  /**\n   * Replace a substring in a string\n   * @param {string} str            string to be replaced\n   * @param {Index} index           An index containing ranges for each dimension\n   * @param {string} replacement    Replacement string\n   * @param {string} [defaultValue] Default value to be uses when resizing\n   *                                the string. is ' ' by default\n   * @returns {string} result\n   * @private\n   */\n\n\n  function _setSubstring(str, index, replacement, defaultValue) {\n    if (!index || index.isIndex !== true) {\n      // TODO: better error message\n      throw new TypeError('Index expected');\n    }\n\n    if (index.size().length !== 1) {\n      throw new DimensionError(index.size().length, 1);\n    }\n\n    if (defaultValue !== undefined) {\n      if (typeof defaultValue !== 'string' || defaultValue.length !== 1) {\n        throw new TypeError('Single character expected as defaultValue');\n      }\n    } else {\n      defaultValue = ' ';\n    }\n\n    var range = index.dimension(0);\n    var len = range.size()[0];\n\n    if (len !== replacement.length) {\n      throw new DimensionError(range.size()[0], replacement.length);\n    } // validate whether the range is out of range\n\n\n    var strLen = str.length;\n    validateIndex(index.min()[0]);\n    validateIndex(index.max()[0]); // copy the string into an array with characters\n\n    var chars = [];\n\n    for (var i = 0; i < strLen; i++) {\n      chars[i] = str.charAt(i);\n    }\n\n    range.forEach(function (v, i) {\n      chars[v] = replacement.charAt(i[0]);\n    }); // initialize undefined characters with a space\n\n    if (chars.length > strLen) {\n      for (var _i = strLen - 1, _len = chars.length; _i < _len; _i++) {\n        if (!chars[_i]) {\n          chars[_i] = defaultValue;\n        }\n      }\n    }\n\n    return chars.join('');\n  }\n}\n/**\n * Retrieve a property from an object\n * @param {Object} object\n * @param {Index} index\n * @return {*} Returns the value of the property\n * @private\n */\n\n\nfunction _getObjectProperty(object, index) {\n  if (index.size().length !== 1) {\n    throw new DimensionError(index.size(), 1);\n  }\n\n  var key = index.dimension(0);\n\n  if (typeof key !== 'string') {\n    throw new TypeError('String expected as index to retrieve an object property');\n  }\n\n  return getSafeProperty(object, key);\n}\n/**\n * Set a property on an object\n * @param {Object} object\n * @param {Index} index\n * @param {*} replacement\n * @return {*} Returns the updated object\n * @private\n */\n\n\nfunction _setObjectProperty(object, index, replacement) {\n  if (index.size().length !== 1) {\n    throw new DimensionError(index.size(), 1);\n  }\n\n  var key = index.dimension(0);\n\n  if (typeof key !== 'string') {\n    throw new TypeError('String expected as index to retrieve an object property');\n  } // clone the object, and apply the property to the clone\n\n\n  var updated = clone(object);\n  setSafeProperty(updated, key, replacement);\n  return updated;\n}\n\nexports.name = 'subset';\nexports.factory = factory;","'use strict';\n\nfunction checkDCE() {\n  /* global __REACT_DEVTOOLS_GLOBAL_HOOK__ */\n  if (typeof __REACT_DEVTOOLS_GLOBAL_HOOK__ === 'undefined' || typeof __REACT_DEVTOOLS_GLOBAL_HOOK__.checkDCE !== 'function') {\n    return;\n  }\n\n  if (process.env.NODE_ENV !== 'production') {\n    // This branch is unreachable because this function is only called\n    // in production, but the condition is true only in development.\n    // Therefore if the branch is still here, dead code elimination wasn't\n    // properly applied.\n    // Don't change the message. React DevTools relies on it. Also make sure\n    // this message doesn't occur elsewhere in this function, or it will cause\n    // a false positive.\n    throw new Error('^_^');\n  }\n\n  try {\n    // Verify that the code above has been dead code eliminated (DCE'd).\n    __REACT_DEVTOOLS_GLOBAL_HOOK__.checkDCE(checkDCE);\n  } catch (err) {\n    // DevTools shouldn't crash React, no matter what.\n    // We should still report in case we break this code.\n    console.error(err);\n  }\n}\n\nif (process.env.NODE_ENV === 'production') {\n  // DCE check should happen before ReactDOM bundle executes so that\n  // DevTools can report bad minification during injection.\n  checkDCE();\n  module.exports = require('./cjs/react-dom.production.min.js');\n} else {\n  module.exports = require('./cjs/react-dom.development.js');\n}","'use strict';\n\nvar bind = require('./helpers/bind');\n\nvar isBuffer = require('is-buffer');\n/*global toString:true*/\n// utils is a library of generic helper functions non-specific to axios\n\n\nvar toString = Object.prototype.toString;\n/**\n * Determine if a value is an Array\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is an Array, otherwise false\n */\n\nfunction isArray(val) {\n  return toString.call(val) === '[object Array]';\n}\n/**\n * Determine if a value is an ArrayBuffer\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is an ArrayBuffer, otherwise false\n */\n\n\nfunction isArrayBuffer(val) {\n  return toString.call(val) === '[object ArrayBuffer]';\n}\n/**\n * Determine if a value is a FormData\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is an FormData, otherwise false\n */\n\n\nfunction isFormData(val) {\n  return typeof FormData !== 'undefined' && val instanceof FormData;\n}\n/**\n * Determine if a value is a view on an ArrayBuffer\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is a view on an ArrayBuffer, otherwise false\n */\n\n\nfunction isArrayBufferView(val) {\n  var result;\n\n  if (typeof ArrayBuffer !== 'undefined' && ArrayBuffer.isView) {\n    result = ArrayBuffer.isView(val);\n  } else {\n    result = val && val.buffer && val.buffer instanceof ArrayBuffer;\n  }\n\n  return result;\n}\n/**\n * Determine if a value is a String\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is a String, otherwise false\n */\n\n\nfunction isString(val) {\n  return typeof val === 'string';\n}\n/**\n * Determine if a value is a Number\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is a Number, otherwise false\n */\n\n\nfunction isNumber(val) {\n  return typeof val === 'number';\n}\n/**\n * Determine if a value is undefined\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if the value is undefined, otherwise false\n */\n\n\nfunction isUndefined(val) {\n  return typeof val === 'undefined';\n}\n/**\n * Determine if a value is an Object\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is an Object, otherwise false\n */\n\n\nfunction isObject(val) {\n  return val !== null && typeof val === 'object';\n}\n/**\n * Determine if a value is a Date\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is a Date, otherwise false\n */\n\n\nfunction isDate(val) {\n  return toString.call(val) === '[object Date]';\n}\n/**\n * Determine if a value is a File\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is a File, otherwise false\n */\n\n\nfunction isFile(val) {\n  return toString.call(val) === '[object File]';\n}\n/**\n * Determine if a value is a Blob\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is a Blob, otherwise false\n */\n\n\nfunction isBlob(val) {\n  return toString.call(val) === '[object Blob]';\n}\n/**\n * Determine if a value is a Function\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is a Function, otherwise false\n */\n\n\nfunction isFunction(val) {\n  return toString.call(val) === '[object Function]';\n}\n/**\n * Determine if a value is a Stream\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is a Stream, otherwise false\n */\n\n\nfunction isStream(val) {\n  return isObject(val) && isFunction(val.pipe);\n}\n/**\n * Determine if a value is a URLSearchParams object\n *\n * @param {Object} val The value to test\n * @returns {boolean} True if value is a URLSearchParams object, otherwise false\n */\n\n\nfunction isURLSearchParams(val) {\n  return typeof URLSearchParams !== 'undefined' && val instanceof URLSearchParams;\n}\n/**\n * Trim excess whitespace off the beginning and end of a string\n *\n * @param {String} str The String to trim\n * @returns {String} The String freed of excess whitespace\n */\n\n\nfunction trim(str) {\n  return str.replace(/^\\s*/, '').replace(/\\s*$/, '');\n}\n/**\n * Determine if we're running in a standard browser environment\n *\n * This allows axios to run in a web worker, and react-native.\n * Both environments support XMLHttpRequest, but not fully standard globals.\n *\n * web workers:\n *  typeof window -> undefined\n *  typeof document -> undefined\n *\n * react-native:\n *  navigator.product -> 'ReactNative'\n */\n\n\nfunction isStandardBrowserEnv() {\n  if (typeof navigator !== 'undefined' && navigator.product === 'ReactNative') {\n    return false;\n  }\n\n  return typeof window !== 'undefined' && typeof document !== 'undefined';\n}\n/**\n * Iterate over an Array or an Object invoking a function for each item.\n *\n * If `obj` is an Array callback will be called passing\n * the value, index, and complete array for each item.\n *\n * If 'obj' is an Object callback will be called passing\n * the value, key, and complete object for each property.\n *\n * @param {Object|Array} obj The object to iterate\n * @param {Function} fn The callback to invoke for each item\n */\n\n\nfunction forEach(obj, fn) {\n  // Don't bother if no value provided\n  if (obj === null || typeof obj === 'undefined') {\n    return;\n  } // Force an array if not already something iterable\n\n\n  if (typeof obj !== 'object') {\n    /*eslint no-param-reassign:0*/\n    obj = [obj];\n  }\n\n  if (isArray(obj)) {\n    // Iterate over array values\n    for (var i = 0, l = obj.length; i < l; i++) {\n      fn.call(null, obj[i], i, obj);\n    }\n  } else {\n    // Iterate over object keys\n    for (var key in obj) {\n      if (Object.prototype.hasOwnProperty.call(obj, key)) {\n        fn.call(null, obj[key], key, obj);\n      }\n    }\n  }\n}\n/**\n * Accepts varargs expecting each argument to be an object, then\n * immutably merges the properties of each object and returns result.\n *\n * When multiple objects contain the same key the later object in\n * the arguments list will take precedence.\n *\n * Example:\n *\n * ```js\n * var result = merge({foo: 123}, {foo: 456});\n * console.log(result.foo); // outputs 456\n * ```\n *\n * @param {Object} obj1 Object to merge\n * @returns {Object} Result of all merge properties\n */\n\n\nfunction merge()\n/* obj1, obj2, obj3, ... */\n{\n  var result = {};\n\n  function assignValue(val, key) {\n    if (typeof result[key] === 'object' && typeof val === 'object') {\n      result[key] = merge(result[key], val);\n    } else {\n      result[key] = val;\n    }\n  }\n\n  for (var i = 0, l = arguments.length; i < l; i++) {\n    forEach(arguments[i], assignValue);\n  }\n\n  return result;\n}\n/**\n * Extends object a by mutably adding to it the properties of object b.\n *\n * @param {Object} a The object to be extended\n * @param {Object} b The object to copy properties from\n * @param {Object} thisArg The object to bind function to\n * @return {Object} The resulting value of object a\n */\n\n\nfunction extend(a, b, thisArg) {\n  forEach(b, function assignValue(val, key) {\n    if (thisArg && typeof val === 'function') {\n      a[key] = bind(val, thisArg);\n    } else {\n      a[key] = val;\n    }\n  });\n  return a;\n}\n\nmodule.exports = {\n  isArray: isArray,\n  isArrayBuffer: isArrayBuffer,\n  isBuffer: isBuffer,\n  isFormData: isFormData,\n  isArrayBufferView: isArrayBufferView,\n  isString: isString,\n  isNumber: isNumber,\n  isObject: isObject,\n  isUndefined: isUndefined,\n  isDate: isDate,\n  isFile: isFile,\n  isBlob: isBlob,\n  isFunction: isFunction,\n  isStream: isStream,\n  isURLSearchParams: isURLSearchParams,\n  isStandardBrowserEnv: isStandardBrowserEnv,\n  forEach: forEach,\n  merge: merge,\n  extend: extend,\n  trim: trim\n};","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the absolute value of a number. For matrices, the function is\n   * evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.abs(x)\n   *\n   * Examples:\n   *\n   *    math.abs(3.5)                // returns number 3.5\n   *    math.abs(-4.2)               // returns number 4.2\n   *\n   *    math.abs([3, -5, -1, 0, 2])  // returns Array [3, 5, 1, 0, 2]\n   *\n   * See also:\n   *\n   *    sign\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Array | Matrix | Unit} x\n   *            A number or matrix for which to get the absolute value\n   * @return {number | BigNumber | Fraction | Complex | Array | Matrix | Unit}\n   *            Absolute value of `x`\n   */\n  var abs = typed('abs', {\n    'number': Math.abs,\n    'Complex': function Complex(x) {\n      return x.abs();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.abs();\n    },\n    'Fraction': function Fraction(x) {\n      return x.abs();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since abs(0) = 0\n      return deepMap(x, abs, true);\n    },\n    'Unit': function Unit(x) {\n      return x.abs();\n    }\n  });\n  abs.toTex = {\n    1: \"\\\\left|${args[0]}\\\\right|\"\n  };\n  return abs;\n}\n\nexports.name = 'abs';\nexports.factory = factory;","'use strict';\n\nfunction _typeof2(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof2 = function _typeof2(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof2 = function _typeof2(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof2(obj);\n}\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Determine the type of a variable.\n   *\n   * Function `typeof` recognizes the following types of objects:\n   *\n   * Object                 | Returns       | Example\n   * ---------------------- | ------------- | ------------------------------------------\n   * null                   | `'null'`      | `math.typeof(null)`\n   * number                 | `'number'`    | `math.typeof(3.5)`\n   * boolean                | `'boolean'`   | `math.typeof(true)`\n   * string                 | `'string'`    | `math.typeof('hello world')`\n   * Array                  | `'Array'`     | `math.typeof([1, 2, 3])`\n   * Date                   | `'Date'`      | `math.typeof(new Date())`\n   * Function               | `'Function'`  | `math.typeof(function () {})`\n   * Object                 | `'Object'`    | `math.typeof({a: 2, b: 3})`\n   * RegExp                 | `'RegExp'`    | `math.typeof(/a regexp/)`\n   * undefined              | `'undefined'` | `math.typeof(undefined)`\n   * math.type.BigNumber    | `'BigNumber'` | `math.typeof(math.bignumber('2.3e500'))`\n   * math.type.Chain        | `'Chain'`     | `math.typeof(math.chain(2))`\n   * math.type.Complex      | `'Complex'`   | `math.typeof(math.complex(2, 3))`\n   * math.type.Fraction     | `'Fraction'`  | `math.typeof(math.fraction(1, 3))`\n   * math.type.Help         | `'Help'`      | `math.typeof(math.help('sqrt'))`\n   * math.type.Help         | `'Help'`      | `math.typeof(math.help('sqrt'))`\n   * math.type.Index        | `'Index'`     | `math.typeof(math.index(1, 3))`\n   * math.type.Matrix       | `'Matrix'`    | `math.typeof(math.matrix([[1,2], [3, 4]]))`\n   * math.type.Range        | `'Range'`     | `math.typeof(math.range(0, 10))`\n   * math.type.ResultSet    | `'ResultSet'` | `math.typeof(math.eval('a=2\\nb=3'))`\n   * math.type.Unit         | `'Unit'`      | `math.typeof(math.unit('45 deg'))`\n   * math.expression.node&#8203;.AccessorNode            | `'AccessorNode'`            | `math.typeof(math.parse('A[2]'))`\n   * math.expression.node&#8203;.ArrayNode               | `'ArrayNode'`               | `math.typeof(math.parse('[1,2,3]'))`\n   * math.expression.node&#8203;.AssignmentNode          | `'AssignmentNode'`          | `math.typeof(math.parse('x=2'))`\n   * math.expression.node&#8203;.BlockNode               | `'BlockNode'`               | `math.typeof(math.parse('a=2; b=3'))`\n   * math.expression.node&#8203;.ConditionalNode         | `'ConditionalNode'`         | `math.typeof(math.parse('x<0 ? -x : x'))`\n   * math.expression.node&#8203;.ConstantNode            | `'ConstantNode'`            | `math.typeof(math.parse('2.3'))`\n   * math.expression.node&#8203;.FunctionAssignmentNode  | `'FunctionAssignmentNode'`  | `math.typeof(math.parse('f(x)=x^2'))`\n   * math.expression.node&#8203;.FunctionNode            | `'FunctionNode'`            | `math.typeof(math.parse('sqrt(4)'))`\n   * math.expression.node&#8203;.IndexNode               | `'IndexNode'`               | `math.typeof(math.parse('A[2]').index)`\n   * math.expression.node&#8203;.ObjectNode              | `'ObjectNode'`              | `math.typeof(math.parse('{a:2}'))`\n   * math.expression.node&#8203;.ParenthesisNode         | `'ParenthesisNode'`         | `math.typeof(math.parse('(2+3)'))`\n   * math.expression.node&#8203;.RangeNode               | `'RangeNode'`               | `math.typeof(math.parse('1:10'))`\n   * math.expression.node&#8203;.SymbolNode              | `'SymbolNode'`              | `math.typeof(math.parse('x'))`\n   *\n   * Syntax:\n   *\n   *    math.typeof(x)\n   *\n   * Examples:\n   *\n   *    math.typeof(3.5)                     // returns 'number'\n   *    math.typeof(math.complex('2-4i'))    // returns 'Complex'\n   *    math.typeof(math.unit('45 deg'))     // returns 'Unit'\n   *    math.typeof('hello world')           // returns 'string'\n   *\n   * @param {*} x     The variable for which to test the type.\n   * @return {string} Returns the name of the type. Primitive types are lower case,\n   *                  non-primitive types are upper-camel-case.\n   *                  For example 'number', 'string', 'Array', 'Date'.\n   */\n  var _typeof = typed('_typeof', {\n    'any': function any(x) {\n      var t = _typeof2(x);\n\n      if (t === 'object') {\n        // JavaScript types\n        if (x === null) return 'null';\n        if (Array.isArray(x)) return 'Array';\n        if (x instanceof Date) return 'Date';\n        if (x instanceof RegExp) return 'RegExp'; // math.js types\n\n        if (type.isBigNumber(x)) return 'BigNumber';\n        if (type.isComplex(x)) return 'Complex';\n        if (type.isFraction(x)) return 'Fraction';\n        if (type.isMatrix(x)) return 'Matrix';\n        if (type.isUnit(x)) return 'Unit';\n        if (type.isIndex(x)) return 'Index';\n        if (type.isRange(x)) return 'Range';\n        if (type.isResultSet(x)) return 'ResultSet';\n        if (type.isNode(x)) return x.type;\n        if (type.isChain(x)) return 'Chain';\n        if (type.isHelp(x)) return 'Help';\n        return 'Object';\n      }\n\n      if (t === 'function') return 'Function';\n      return t; // can be 'string', 'number', 'boolean', ...\n    }\n  });\n\n  _typeof.toTex = undefined; // use default template\n\n  return _typeof;\n}\n\nexports.name = 'typeof';\nexports.factory = factory;","'use strict';\n\nvar DimensionError = require('../../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var equalScalar = load(require('../../../function/relational/equalScalar'));\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Iterates over SparseMatrix nonzero items and invokes the callback function f(Dij, Sij).\n   * Callback function invoked NNZ times (number of nonzero items in SparseMatrix).\n   *\n   *\n   *          ┌  f(Dij, Sij)  ; S(i,j) !== 0\n   * C(i,j) = ┤\n   *          └  0            ; otherwise\n   *\n   *\n   * @param {Matrix}   denseMatrix       The DenseMatrix instance (D)\n   * @param {Matrix}   sparseMatrix      The SparseMatrix instance (S)\n   * @param {Function} callback          The f(Dij,Sij) operation to invoke, where Dij = DenseMatrix(i,j) and Sij = SparseMatrix(i,j)\n   * @param {boolean}  inverse           A true value indicates callback should be invoked f(Sij,Dij)\n   *\n   * @return {Matrix}                    SparseMatrix (C)\n   *\n   * see https://github.com/josdejong/mathjs/pull/346#issuecomment-97477571\n   */\n\n  var algorithm02 = function algorithm02(denseMatrix, sparseMatrix, callback, inverse) {\n    // dense matrix arrays\n    var adata = denseMatrix._data;\n    var asize = denseMatrix._size;\n    var adt = denseMatrix._datatype; // sparse matrix arrays\n\n    var bvalues = sparseMatrix._values;\n    var bindex = sparseMatrix._index;\n    var bptr = sparseMatrix._ptr;\n    var bsize = sparseMatrix._size;\n    var bdt = sparseMatrix._datatype; // validate dimensions\n\n    if (asize.length !== bsize.length) {\n      throw new DimensionError(asize.length, bsize.length);\n    } // check rows & columns\n\n\n    if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) {\n      throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')');\n    } // sparse matrix cannot be a Pattern matrix\n\n\n    if (!bvalues) {\n      throw new Error('Cannot perform operation on Dense Matrix and Pattern Sparse Matrix');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string' && adt === bdt) {\n      // datatype\n      dt = adt; // find signature that matches (dt, dt)\n\n      eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // result (SparseMatrix)\n\n\n    var cvalues = [];\n    var cindex = [];\n    var cptr = []; // loop columns in b\n\n    for (var j = 0; j < columns; j++) {\n      // update cptr\n      cptr[j] = cindex.length; // values in column j\n\n      for (var k0 = bptr[j], k1 = bptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        var i = bindex[k]; // update C(i,j)\n\n        var cij = inverse ? cf(bvalues[k], adata[i][j]) : cf(adata[i][j], bvalues[k]); // check for nonzero\n\n        if (!eq(cij, zero)) {\n          // push i & v\n          cindex.push(i);\n          cvalues.push(cij);\n        }\n      }\n    } // update cptr\n\n\n    cptr[columns] = cindex.length; // return sparse matrix\n\n    return new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [rows, columns],\n      datatype: dt\n    });\n  };\n\n  return algorithm02;\n}\n\nexports.name = 'algorithm02';\nexports.factory = factory;","'use strict';\n\nvar array = require('../../utils/array');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Calculate the size of a matrix or scalar.\n   *\n   * Syntax:\n   *\n   *     math.size(x)\n   *\n   * Examples:\n   *\n   *     math.size(2.3)                  // returns []\n   *     math.size('hello world')        // returns [11]\n   *\n   *     const A = [[1, 2, 3], [4, 5, 6]]\n   *     math.size(A)                    // returns [2, 3]\n   *     math.size(math.range(1,6))      // returns [5]\n   *\n   * See also:\n   *\n   *     resize, squeeze, subset\n   *\n   * @param {boolean | number | Complex | Unit | string | Array | Matrix} x  A matrix\n   * @return {Array | Matrix} A vector with size of `x`.\n   */\n\n  var size = typed('size', {\n    'Matrix': function Matrix(x) {\n      // TODO: return the same matrix type as the input\n      return matrix(x.size());\n    },\n    'Array': array.size,\n    'string': function string(x) {\n      return config.matrix === 'Array' ? [x.length] : matrix([x.length]);\n    },\n    'number | Complex | BigNumber | Unit | boolean | null': function numberComplexBigNumberUnitBooleanNull(x) {\n      // scalar\n      return config.matrix === 'Array' ? [] : matrix([]);\n    }\n  });\n  size.toTex = undefined; // use default template\n\n  return size;\n}\n\nexports.name = 'size';\nexports.factory = factory;","'use strict';\n\nvar DimensionError = require('../../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var DenseMatrix = type.DenseMatrix;\n  /**\n   * Iterates over SparseMatrix A and SparseMatrix B items (zero and nonzero) and invokes the callback function f(Aij, Bij).\n   * Callback function invoked MxN times.\n   *\n   * C(i,j) = f(Aij, Bij)\n   *\n   * @param {Matrix}   a                 The SparseMatrix instance (A)\n   * @param {Matrix}   b                 The SparseMatrix instance (B)\n   * @param {Function} callback          The f(Aij,Bij) operation to invoke\n   *\n   * @return {Matrix}                    DenseMatrix (C)\n   *\n   * see https://github.com/josdejong/mathjs/pull/346#issuecomment-97620294\n   */\n\n  var algorithm07 = function algorithm07(a, b, callback) {\n    // sparse matrix arrays\n    var asize = a._size;\n    var adt = a._datatype; // sparse matrix arrays\n\n    var bsize = b._size;\n    var bdt = b._datatype; // validate dimensions\n\n    if (asize.length !== bsize.length) {\n      throw new DimensionError(asize.length, bsize.length);\n    } // check rows & columns\n\n\n    if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) {\n      throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // zero value\n\n    var zero = 0; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string' && adt === bdt) {\n      // datatype\n      dt = adt; // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // vars\n\n\n    var i, j; // result arrays\n\n    var cdata = []; // initialize c\n\n    for (i = 0; i < rows; i++) {\n      cdata[i] = [];\n    } // matrix\n\n\n    var c = new DenseMatrix({\n      data: cdata,\n      size: [rows, columns],\n      datatype: dt\n    }); // workspaces\n\n    var xa = [];\n    var xb = []; // marks indicating we have a value in x for a given column\n\n    var wa = [];\n    var wb = []; // loop columns\n\n    for (j = 0; j < columns; j++) {\n      // columns mark\n      var mark = j + 1; // scatter the values of A(:,j) into workspace\n\n      _scatter(a, j, wa, xa, mark); // scatter the values of B(:,j) into workspace\n\n\n      _scatter(b, j, wb, xb, mark); // loop rows\n\n\n      for (i = 0; i < rows; i++) {\n        // matrix values @ i,j\n        var va = wa[i] === mark ? xa[i] : zero;\n        var vb = wb[i] === mark ? xb[i] : zero; // invoke callback\n\n        cdata[i][j] = cf(va, vb);\n      }\n    } // return sparse matrix\n\n\n    return c;\n  };\n\n  function _scatter(m, j, w, x, mark) {\n    // a arrays\n    var values = m._values;\n    var index = m._index;\n    var ptr = m._ptr; // loop values in column j\n\n    for (var k = ptr[j], k1 = ptr[j + 1]; k < k1; k++) {\n      // row\n      var i = index[k]; // update workspace\n\n      w[i] = mark;\n      x[i] = values[k];\n    }\n  }\n\n  return algorithm07;\n}\n\nexports.name = 'algorithm07';\nexports.factory = factory;","'use strict';\n\nvar clone = require('../../utils/object').clone;\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type) {\n  /**\n   * Create an index. An Index can store ranges and sets for multiple dimensions.\n   * Matrix.get, Matrix.set, and math.subset accept an Index as input.\n   *\n   * Usage:\n   *     const index = new Index(range1, range2, matrix1, array1, ...)\n   *\n   * Where each parameter can be any of:\n   *     A number\n   *     A string (containing a name of an object property)\n   *     An instance of Range\n   *     An Array with the Set values\n   *     A Matrix with the Set values\n   *\n   * The parameters start, end, and step must be integer numbers.\n   *\n   * @class Index\n   * @Constructor Index\n   * @param {...*} ranges\n   */\n  function Index(ranges) {\n    if (!(this instanceof Index)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    this._dimensions = [];\n    this._isScalar = true;\n\n    for (var i = 0, ii = arguments.length; i < ii; i++) {\n      var arg = arguments[i];\n\n      if (type.isRange(arg)) {\n        this._dimensions.push(arg);\n\n        this._isScalar = false;\n      } else if (Array.isArray(arg) || type.isMatrix(arg)) {\n        // create matrix\n        var m = _createImmutableMatrix(arg.valueOf());\n\n        this._dimensions.push(m); // size\n\n\n        var size = m.size(); // scalar\n\n        if (size.length !== 1 || size[0] !== 1) {\n          this._isScalar = false;\n        }\n      } else if (typeof arg === 'number') {\n        this._dimensions.push(_createImmutableMatrix([arg]));\n      } else if (typeof arg === 'string') {\n        // object property (arguments.count should be 1)\n        this._dimensions.push(arg);\n      } else {\n        throw new TypeError('Dimension must be an Array, Matrix, number, string, or Range');\n      } // TODO: implement support for wildcard '*'\n\n    }\n  }\n  /**\n   * Attach type information\n   */\n\n\n  Index.prototype.type = 'Index';\n  Index.prototype.isIndex = true;\n\n  function _createImmutableMatrix(arg) {\n    // loop array elements\n    for (var i = 0, l = arg.length; i < l; i++) {\n      if (typeof arg[i] !== 'number' || !isInteger(arg[i])) {\n        throw new TypeError('Index parameters must be positive integer numbers');\n      }\n    } // create matrix\n\n\n    return new type.ImmutableDenseMatrix(arg);\n  }\n  /**\n   * Create a clone of the index\n   * @memberof Index\n   * @return {Index} clone\n   */\n\n\n  Index.prototype.clone = function () {\n    var index = new Index();\n    index._dimensions = clone(this._dimensions);\n    index._isScalar = this._isScalar;\n    return index;\n  };\n  /**\n   * Create an index from an array with ranges/numbers\n   * @memberof Index\n   * @param {Array.<Array | number>} ranges\n   * @return {Index} index\n   * @private\n   */\n\n\n  Index.create = function (ranges) {\n    var index = new Index();\n    Index.apply(index, ranges);\n    return index;\n  };\n  /**\n   * Retrieve the size of the index, the number of elements for each dimension.\n   * @memberof Index\n   * @returns {number[]} size\n   */\n\n\n  Index.prototype.size = function () {\n    var size = [];\n\n    for (var i = 0, ii = this._dimensions.length; i < ii; i++) {\n      var d = this._dimensions[i];\n      size[i] = typeof d === 'string' ? 1 : d.size()[0];\n    }\n\n    return size;\n  };\n  /**\n   * Get the maximum value for each of the indexes ranges.\n   * @memberof Index\n   * @returns {number[]} max\n   */\n\n\n  Index.prototype.max = function () {\n    var values = [];\n\n    for (var i = 0, ii = this._dimensions.length; i < ii; i++) {\n      var range = this._dimensions[i];\n      values[i] = typeof range === 'string' ? range : range.max();\n    }\n\n    return values;\n  };\n  /**\n   * Get the minimum value for each of the indexes ranges.\n   * @memberof Index\n   * @returns {number[]} min\n   */\n\n\n  Index.prototype.min = function () {\n    var values = [];\n\n    for (var i = 0, ii = this._dimensions.length; i < ii; i++) {\n      var range = this._dimensions[i];\n      values[i] = typeof range === 'string' ? range : range.min();\n    }\n\n    return values;\n  };\n  /**\n   * Loop over each of the ranges of the index\n   * @memberof Index\n   * @param {Function} callback   Called for each range with a Range as first\n   *                              argument, the dimension as second, and the\n   *                              index object as third.\n   */\n\n\n  Index.prototype.forEach = function (callback) {\n    for (var i = 0, ii = this._dimensions.length; i < ii; i++) {\n      callback(this._dimensions[i], i, this);\n    }\n  };\n  /**\n   * Retrieve the dimension for the given index\n   * @memberof Index\n   * @param {Number} dim                  Number of the dimension\n   * @returns {Range | null} range\n   */\n\n\n  Index.prototype.dimension = function (dim) {\n    return this._dimensions[dim] || null;\n  };\n  /**\n   * Test whether this index contains an object property\n   * @returns {boolean} Returns true if the index is an object property\n   */\n\n\n  Index.prototype.isObjectProperty = function () {\n    return this._dimensions.length === 1 && typeof this._dimensions[0] === 'string';\n  };\n  /**\n   * Returns the object property name when the Index holds a single object property,\n   * else returns null\n   * @returns {string | null}\n   */\n\n\n  Index.prototype.getObjectProperty = function () {\n    return this.isObjectProperty() ? this._dimensions[0] : null;\n  };\n  /**\n   * Test whether this index contains only a single value.\n   *\n   * This is the case when the index is created with only scalar values as ranges,\n   * not for ranges resolving into a single value.\n   * @memberof Index\n   * @return {boolean} isScalar\n   */\n\n\n  Index.prototype.isScalar = function () {\n    return this._isScalar;\n  };\n  /**\n   * Expand the Index into an array.\n   * For example new Index([0,3], [2,7]) returns [[0,1,2], [2,3,4,5,6]]\n   * @memberof Index\n   * @returns {Array} array\n   */\n\n\n  Index.prototype.toArray = function () {\n    var array = [];\n\n    for (var i = 0, ii = this._dimensions.length; i < ii; i++) {\n      var dimension = this._dimensions[i];\n      array.push(typeof dimension === 'string' ? dimension : dimension.toArray());\n    }\n\n    return array;\n  };\n  /**\n   * Get the primitive value of the Index, a two dimensional array.\n   * Equivalent to Index.toArray().\n   * @memberof Index\n   * @returns {Array} array\n   */\n\n\n  Index.prototype.valueOf = Index.prototype.toArray;\n  /**\n   * Get the string representation of the index, for example '[2:6]' or '[0:2:10, 4:7, [1,2,3]]'\n   * @memberof Index\n   * @returns {String} str\n   */\n\n  Index.prototype.toString = function () {\n    var strings = [];\n\n    for (var i = 0, ii = this._dimensions.length; i < ii; i++) {\n      var dimension = this._dimensions[i];\n\n      if (typeof dimension === 'string') {\n        strings.push(JSON.stringify(dimension));\n      } else {\n        strings.push(dimension.toString());\n      }\n    }\n\n    return '[' + strings.join(', ') + ']';\n  };\n  /**\n   * Get a JSON representation of the Index\n   * @memberof Index\n   * @returns {Object} Returns a JSON object structured as:\n   *                   `{\"mathjs\": \"Index\", \"ranges\": [{\"mathjs\": \"Range\", start: 0, end: 10, step:1}, ...]}`\n   */\n\n\n  Index.prototype.toJSON = function () {\n    return {\n      mathjs: 'Index',\n      dimensions: this._dimensions\n    };\n  };\n  /**\n   * Instantiate an Index from a JSON object\n   * @memberof Index\n   * @param {Object} json A JSON object structured as:\n   *                     `{\"mathjs\": \"Index\", \"dimensions\": [{\"mathjs\": \"Range\", start: 0, end: 10, step:1}, ...]}`\n   * @return {Index}\n   */\n\n\n  Index.fromJSON = function (json) {\n    return Index.create(json.dimensions);\n  };\n\n  return Index;\n}\n\nexports.name = 'Index';\nexports.path = 'type';\nexports.factory = factory;","'use strict';\n\nvar naturalSort = require('javascript-natural-sort');\n\nfunction factory(type, config, load, typed) {\n  var getTypeOf = load(require('../utils/typeof'));\n  var compare = load(require('./compare'));\n  var compareBooleans = compare.signatures['boolean,boolean'];\n  /**\n   * Compare two values of any type in a deterministic, natural way.\n   *\n   * For numeric values, the function works the same as `math.compare`.\n   * For types of values that can't be compared mathematically,\n   * the function compares in a natural way.\n   *\n   * For numeric values, x and y are considered equal when the relative\n   * difference between x and y is smaller than the configured epsilon.\n   * The function cannot be used to compare values smaller than\n   * approximately 2.22e-16.\n   *\n   * For Complex numbers, first the real parts are compared. If equal,\n   * the imaginary parts are compared.\n   *\n   * Strings are compared with a natural sorting algorithm, which\n   * orders strings in a \"logic\" way following some heuristics.\n   * This differs from the function `compare`, which converts the string\n   * into a numeric value and compares that. The function `compareText`\n   * on the other hand compares text lexically.\n   *\n   * Arrays and Matrices are compared value by value until there is an\n   * unequal pair of values encountered. Objects are compared by sorted\n   * keys until the keys or their values are unequal.\n   *\n   * Syntax:\n   *\n   *    math.compareNatural(x, y)\n   *\n   * Examples:\n   *\n   *    math.compareNatural(6, 1)              // returns 1\n   *    math.compareNatural(2, 3)              // returns -1\n   *    math.compareNatural(7, 7)              // returns 0\n   *\n   *    math.compareNatural('10', '2')         // returns 1\n   *    math.compareText('10', '2')            // returns -1\n   *    math.compare('10', '2')                // returns 1\n   *\n   *    math.compareNatural('Answer: 10', 'Answer: 2') // returns 1\n   *    math.compareText('Answer: 10', 'Answer: 2')    // returns -1\n   *    math.compare('Answer: 10', 'Answer: 2')\n   *        // Error: Cannot convert \"Answer: 10\" to a number\n   *\n   *    const a = math.unit('5 cm')\n   *    const b = math.unit('40 mm')\n   *    math.compareNatural(a, b)              // returns 1\n   *\n   *    const c = math.complex('2 + 3i')\n   *    const d = math.complex('2 + 4i')\n   *    math.compareNatural(c, d)              // returns -1\n   *\n   *    math.compareNatural([1, 2, 4], [1, 2, 3]) // returns 1\n   *    math.compareNatural([1, 2, 3], [1, 2])    // returns 1\n   *    math.compareNatural([1, 5], [1, 2, 3])    // returns 1\n   *    math.compareNatural([1, 2], [1, 2])       // returns 0\n   *\n   *    math.compareNatural({a: 2}, {a: 4})       // returns -1\n   *\n   * See also:\n   *\n   *    compare, compareText\n   *\n   * @param  {*} x First value to compare\n   * @param  {*} y Second value to compare\n   * @return {number} Returns the result of the comparison:\n   *                  1 when x > y, -1 when x < y, and 0 when x == y.\n   */\n\n  var compareNatural = typed('compareNatural', {\n    'any, any': function anyAny(x, y) {\n      var typeX = getTypeOf(x);\n      var typeY = getTypeOf(y);\n      var c; // numeric types\n\n      if ((typeX === 'number' || typeX === 'BigNumber' || typeX === 'Fraction') && (typeY === 'number' || typeY === 'BigNumber' || typeY === 'Fraction')) {\n        c = compare(x, y);\n\n        if (c.toString() !== '0') {\n          // c can be number, BigNumber, or Fraction\n          return c > 0 ? 1 : -1; // return a number\n        } else {\n          return naturalSort(typeX, typeY);\n        }\n      } // matrix types\n\n\n      if (typeX === 'Array' || typeX === 'Matrix' || typeY === 'Array' || typeY === 'Matrix') {\n        c = compareMatricesAndArrays(x, y);\n\n        if (c !== 0) {\n          return c;\n        } else {\n          return naturalSort(typeX, typeY);\n        }\n      } // in case of different types, order by name of type, i.e. 'BigNumber' < 'Complex'\n\n\n      if (typeX !== typeY) {\n        return naturalSort(typeX, typeY);\n      }\n\n      if (typeX === 'Complex') {\n        return compareComplexNumbers(x, y);\n      }\n\n      if (typeX === 'Unit') {\n        if (x.equalBase(y)) {\n          return compareNatural(x.value, y.value);\n        } // compare by units\n\n\n        return compareArrays(x.formatUnits(), y.formatUnits());\n      }\n\n      if (typeX === 'boolean') {\n        return compareBooleans(x, y);\n      }\n\n      if (typeX === 'string') {\n        return naturalSort(x, y);\n      }\n\n      if (typeX === 'Object') {\n        return compareObjects(x, y);\n      }\n\n      if (typeX === 'null') {\n        return 0;\n      }\n\n      if (typeX === 'undefined') {\n        return 0;\n      } // this should not occur...\n\n\n      throw new TypeError('Unsupported type of value \"' + typeX + '\"');\n    }\n  });\n  compareNatural.toTex = undefined; // use default template\n\n  /**\n   * Compare mixed matrix/array types, by converting to same-shaped array.\n   * This comparator is non-deterministic regarding input types.\n   * @param {Array | SparseMatrix | DenseMatrix | *} x\n   * @param {Array | SparseMatrix | DenseMatrix | *} y\n   * @returns {number} Returns the comparison result: -1, 0, or 1\n   */\n\n  function compareMatricesAndArrays(x, y) {\n    if (type.isSparseMatrix(x) && type.isSparseMatrix(y)) {\n      return compareArrays(x.toJSON().values, y.toJSON().values);\n    }\n\n    if (type.isSparseMatrix(x)) {\n      // note: convert to array is expensive\n      return compareMatricesAndArrays(x.toArray(), y);\n    }\n\n    if (type.isSparseMatrix(y)) {\n      // note: convert to array is expensive\n      return compareMatricesAndArrays(x, y.toArray());\n    } // convert DenseArray into Array\n\n\n    if (type.isDenseMatrix(x)) {\n      return compareMatricesAndArrays(x.toJSON().data, y);\n    }\n\n    if (type.isDenseMatrix(y)) {\n      return compareMatricesAndArrays(x, y.toJSON().data);\n    } // convert scalars to array\n\n\n    if (!Array.isArray(x)) {\n      return compareMatricesAndArrays([x], y);\n    }\n\n    if (!Array.isArray(y)) {\n      return compareMatricesAndArrays(x, [y]);\n    }\n\n    return compareArrays(x, y);\n  }\n  /**\n   * Compare two Arrays\n   *\n   * - First, compares value by value\n   * - Next, if all corresponding values are equal,\n   *   look at the length: longest array will be considered largest\n   *\n   * @param {Array} x\n   * @param {Array} y\n   * @returns {number} Returns the comparison result: -1, 0, or 1\n   */\n\n\n  function compareArrays(x, y) {\n    // compare each value\n    for (var i = 0, ii = Math.min(x.length, y.length); i < ii; i++) {\n      var v = compareNatural(x[i], y[i]);\n\n      if (v !== 0) {\n        return v;\n      }\n    } // compare the size of the arrays\n\n\n    if (x.length > y.length) {\n      return 1;\n    }\n\n    if (x.length < y.length) {\n      return -1;\n    } // both Arrays have equal size and content\n\n\n    return 0;\n  }\n  /**\n   * Compare two objects\n   *\n   * - First, compare sorted property names\n   * - Next, compare the property values\n   *\n   * @param {Object} x\n   * @param {Object} y\n   * @returns {number} Returns the comparison result: -1, 0, or 1\n   */\n\n\n  function compareObjects(x, y) {\n    var keysX = Object.keys(x);\n    var keysY = Object.keys(y); // compare keys\n\n    keysX.sort(naturalSort);\n    keysY.sort(naturalSort);\n    var c = compareArrays(keysX, keysY);\n\n    if (c !== 0) {\n      return c;\n    } // compare values\n\n\n    for (var i = 0; i < keysX.length; i++) {\n      var v = compareNatural(x[keysX[i]], y[keysY[i]]);\n\n      if (v !== 0) {\n        return v;\n      }\n    }\n\n    return 0;\n  }\n\n  return compareNatural;\n}\n/**\n * Compare two complex numbers, `x` and `y`:\n *\n * - First, compare the real values of `x` and `y`\n * - If equal, compare the imaginary values of `x` and `y`\n *\n * @params {Complex} x\n * @params {Complex} y\n * @returns {number} Returns the comparison result: -1, 0, or 1\n */\n\n\nfunction compareComplexNumbers(x, y) {\n  if (x.re > y.re) {\n    return 1;\n  }\n\n  if (x.re < y.re) {\n    return -1;\n  }\n\n  if (x.im > y.im) {\n    return 1;\n  }\n\n  if (x.im < y.im) {\n    return -1;\n  }\n\n  return 0;\n}\n\nexports.name = 'compareNatural';\nexports.factory = factory;","export default function _extends() {\n  _extends = Object.assign || function (target) {\n    for (var i = 1; i < arguments.length; i++) {\n      var source = arguments[i];\n\n      for (var key in source) {\n        if (Object.prototype.hasOwnProperty.call(source, key)) {\n          target[key] = source[key];\n        }\n      }\n    }\n\n    return target;\n  };\n\n  return _extends.apply(this, arguments);\n}","'use strict';\n\nexports.array = require('./array');\nexports['boolean'] = require('./boolean');\nexports['function'] = require('./function');\nexports.number = require('./number');\nexports.object = require('./object');\nexports.string = require('./string');\nexports.emitter = require('./emitter');","import arrayWithoutHoles from \"./arrayWithoutHoles\";\nimport iterableToArray from \"./iterableToArray\";\nimport nonIterableSpread from \"./nonIterableSpread\";\nexport default function _toConsumableArray(arr) {\n  return arrayWithoutHoles(arr) || iterableToArray(arr) || nonIterableSpread();\n}","export default function _arrayWithoutHoles(arr) {\n  if (Array.isArray(arr)) {\n    for (var i = 0, arr2 = new Array(arr.length); i < arr.length; i++) {\n      arr2[i] = arr[i];\n    }\n\n    return arr2;\n  }\n}","export default function _iterableToArray(iter) {\n  if (Symbol.iterator in Object(iter) || Object.prototype.toString.call(iter) === \"[object Arguments]\") return Array.from(iter);\n}","export default function _nonIterableSpread() {\n  throw new TypeError(\"Invalid attempt to spread non-iterable instance\");\n}","'use strict'; // function utils\n\n/**\n * Memoize a given function by caching the computed result.\n * The cache of a memoized function can be cleared by deleting the `cache`\n * property of the function.\n *\n * @param {function} fn                     The function to be memoized.\n *                                          Must be a pure function.\n * @param {function(args: Array)} [hasher]  A custom hash builder.\n *                                          Is JSON.stringify by default.\n * @return {function}                       Returns the memoized function\n */\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nexports.memoize = function (fn, hasher) {\n  return function memoize() {\n    if (_typeof(memoize.cache) !== 'object') {\n      memoize.cache = {};\n    }\n\n    var args = [];\n\n    for (var i = 0; i < arguments.length; i++) {\n      args[i] = arguments[i];\n    }\n\n    var hash = hasher ? hasher(args) : JSON.stringify(args);\n\n    if (!(hash in memoize.cache)) {\n      memoize.cache[hash] = fn.apply(fn, args);\n    }\n\n    return memoize.cache[hash];\n  };\n};\n/**\n * Find the maximum number of arguments expected by a typed function.\n * @param {function} fn   A typed function\n * @return {number} Returns the maximum number of expected arguments.\n *                  Returns -1 when no signatures where found on the function.\n */\n\n\nexports.maxArgumentCount = function (fn) {\n  return Object.keys(fn.signatures || {}).reduce(function (args, signature) {\n    var count = (signature.match(/,/g) || []).length + 1;\n    return Math.max(args, count);\n  }, -1);\n};\n/**\n * Call a typed function with the\n * @param {function} fn   A function or typed function\n * @return {number} Returns the maximum number of expected arguments.\n *                  Returns -1 when no signatures where found on the function.\n */\n\n\nexports.callWithRightArgumentCount = function (fn, args, argCount) {\n  return Object.keys(fn.signatures || {}).reduce(function (args, signature) {\n    var count = (signature.match(/,/g) || []).length + 1;\n    return Math.max(args, count);\n  }, -1);\n};","'use strict';\n\nvar DimensionError = require('../../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var DenseMatrix = type.DenseMatrix;\n  /**\n   * Iterates over SparseMatrix nonzero items and invokes the callback function f(Dij, Sij).\n   * Callback function invoked NNZ times (number of nonzero items in SparseMatrix).\n   *\n   *\n   *          ┌  f(Dij, Sij)  ; S(i,j) !== 0\n   * C(i,j) = ┤\n   *          └  Dij          ; otherwise\n   *\n   *\n   * @param {Matrix}   denseMatrix       The DenseMatrix instance (D)\n   * @param {Matrix}   sparseMatrix      The SparseMatrix instance (S)\n   * @param {Function} callback          The f(Dij,Sij) operation to invoke, where Dij = DenseMatrix(i,j) and Sij = SparseMatrix(i,j)\n   * @param {boolean}  inverse           A true value indicates callback should be invoked f(Sij,Dij)\n   *\n   * @return {Matrix}                    DenseMatrix (C)\n   *\n   * see https://github.com/josdejong/mathjs/pull/346#issuecomment-97477571\n   */\n\n  var algorithm01 = function algorithm01(denseMatrix, sparseMatrix, callback, inverse) {\n    // dense matrix arrays\n    var adata = denseMatrix._data;\n    var asize = denseMatrix._size;\n    var adt = denseMatrix._datatype; // sparse matrix arrays\n\n    var bvalues = sparseMatrix._values;\n    var bindex = sparseMatrix._index;\n    var bptr = sparseMatrix._ptr;\n    var bsize = sparseMatrix._size;\n    var bdt = sparseMatrix._datatype; // validate dimensions\n\n    if (asize.length !== bsize.length) {\n      throw new DimensionError(asize.length, bsize.length);\n    } // check rows & columns\n\n\n    if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) {\n      throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')');\n    } // sparse matrix cannot be a Pattern matrix\n\n\n    if (!bvalues) {\n      throw new Error('Cannot perform operation on Dense Matrix and Pattern Sparse Matrix');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // process data types\n\n    var dt = typeof adt === 'string' && adt === bdt ? adt : undefined; // callback function\n\n    var cf = dt ? typed.find(callback, [dt, dt]) : callback; // vars\n\n    var i, j; // result (DenseMatrix)\n\n    var cdata = []; // initialize c\n\n    for (i = 0; i < rows; i++) {\n      cdata[i] = [];\n    } // workspace\n\n\n    var x = []; // marks indicating we have a value in x for a given column\n\n    var w = []; // loop columns in b\n\n    for (j = 0; j < columns; j++) {\n      // column mark\n      var mark = j + 1; // values in column j\n\n      for (var k0 = bptr[j], k1 = bptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        i = bindex[k]; // update workspace\n\n        x[i] = inverse ? cf(bvalues[k], adata[i][j]) : cf(adata[i][j], bvalues[k]); // mark i as updated\n\n        w[i] = mark;\n      } // loop rows\n\n\n      for (i = 0; i < rows; i++) {\n        // check row is in workspace\n        if (w[i] === mark) {\n          // c[i][j] was already calculated\n          cdata[i][j] = x[i];\n        } else {\n          // item does not exist in S\n          cdata[i][j] = adata[i][j];\n        }\n      }\n    } // return dense matrix\n\n\n    return new DenseMatrix({\n      data: cdata,\n      size: [rows, columns],\n      datatype: dt\n    });\n  };\n\n  return algorithm01;\n}\n\nexports.name = 'algorithm01';\nexports.factory = factory;","'use strict';\n\nvar nearlyEqual = require('../../utils/number').nearlyEqual;\n\nvar bigNearlyEqual = require('../../utils/bignumber/nearlyEqual');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm07 = load(require('../../type/matrix/utils/algorithm07'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n\n  var latex = require('../../utils/latex');\n  /**\n   * Test whether value x is larger than y.\n   *\n   * The function returns true when x is larger than y and the relative\n   * difference between x and y is larger than the configured epsilon. The\n   * function cannot be used to compare values smaller than approximately 2.22e-16.\n   *\n   * For matrices, the function is evaluated element wise.\n   * Strings are compared by their numerical value.\n   *\n   * Syntax:\n   *\n   *    math.larger(x, y)\n   *\n   * Examples:\n   *\n   *    math.larger(2, 3)             // returns false\n   *    math.larger(5, 2 + 2)         // returns true\n   *\n   *    const a = math.unit('5 cm')\n   *    const b = math.unit('2 inch')\n   *    math.larger(a, b)             // returns false\n   *\n   * See also:\n   *\n   *    equal, unequal, smaller, smallerEq, largerEq, compare\n   *\n   * @param  {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} x First value to compare\n   * @param  {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} y Second value to compare\n   * @return {boolean | Array | Matrix} Returns true when the x is larger than y, else returns false\n   */\n\n\n  var larger = typed('larger', {\n    'boolean, boolean': function booleanBoolean(x, y) {\n      return x > y;\n    },\n    'number, number': function numberNumber(x, y) {\n      return x > y && !nearlyEqual(x, y, config.epsilon);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return x.gt(y) && !bigNearlyEqual(x, y, config.epsilon);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.compare(y) === 1;\n    },\n    'Complex, Complex': function ComplexComplex() {\n      throw new TypeError('No ordering relation is defined for complex numbers');\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      if (!x.equalBase(y)) {\n        throw new Error('Cannot compare units with different base');\n      }\n\n      return larger(x.value, y.value);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm07(x, y, larger);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, larger, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, larger, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, larger);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return larger(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return larger(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return larger(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm12(x, y, larger, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, larger, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, larger, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, larger, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, larger, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, larger, true).valueOf();\n    }\n  });\n  larger.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['larger'], \"${args[1]}\\\\right)\")\n  };\n  return larger;\n}\n\nexports.name = 'larger';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n  /**\n   * Inverse the sign of a value, apply a unary minus operation.\n   *\n   * For matrices, the function is evaluated element wise. Boolean values and\n   * strings will be converted to a number. For complex numbers, both real and\n   * complex value are inverted.\n   *\n   * Syntax:\n   *\n   *    math.unaryMinus(x)\n   *\n   * Examples:\n   *\n   *    math.unaryMinus(3.5)      // returns -3.5\n   *    math.unaryMinus(-4.2)     // returns 4.2\n   *\n   * See also:\n   *\n   *    add, subtract, unaryPlus\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x Number to be inverted.\n   * @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} Returns the value with inverted sign.\n   */\n\n\n  var unaryMinus = typed('unaryMinus', {\n    'number': function number(x) {\n      return -x;\n    },\n    'Complex': function Complex(x) {\n      return x.neg();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.neg();\n    },\n    'Fraction': function Fraction(x) {\n      return x.neg();\n    },\n    'Unit': function Unit(x) {\n      var res = x.clone();\n      res.value = unaryMinus(x.value);\n      return res;\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since unaryMinus(0) = 0\n      return deepMap(x, unaryMinus, true);\n    } // TODO: add support for string\n\n  });\n  unaryMinus.toTex = {\n    1: \"\".concat(latex.operators['unaryMinus'], \"\\\\left(${args[0]}\\\\right)\")\n  };\n  return unaryMinus;\n}\n\nexports.name = 'unaryMinus';\nexports.factory = factory;","'use strict';\n\nvar IndexError = require('../../error/IndexError');\n/**\n * Transform zero-based indices to one-based indices in errors\n * @param {Error} err\n * @returns {Error} Returns the transformed error\n */\n\n\nexports.transform = function (err) {\n  if (err && err.isIndexError) {\n    return new IndexError(err.index + 1, err.min + 1, err.max !== undefined ? err.max + 1 : undefined);\n  }\n\n  return err;\n};","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nvar number = require('../../utils/number');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Test whether a value is an integer number.\n   * The function supports `number`, `BigNumber`, and `Fraction`.\n   *\n   * The function is evaluated element-wise in case of Array or Matrix input.\n   *\n   * Syntax:\n   *\n   *     math.isInteger(x)\n   *\n   * Examples:\n   *\n   *    math.isInteger(2)                     // returns true\n   *    math.isInteger(0)                     // returns true\n   *    math.isInteger(0.5)                   // returns false\n   *    math.isInteger(math.bignumber(500))   // returns true\n   *    math.isInteger(math.fraction(4))      // returns true\n   *    math.isInteger('3')                   // returns true\n   *    math.isInteger([3, 0.5, -2])          // returns [true, false, true]\n   *    math.isInteger(math.complex('2-4i')   // throws an error\n   *\n   * See also:\n   *\n   *    isNumeric, isPositive, isNegative, isZero\n   *\n   * @param {number | BigNumber | Fraction | Array | Matrix} x   Value to be tested\n   * @return {boolean}  Returns true when `x` contains a numeric, integer value.\n   *                    Throws an error in case of an unknown data type.\n   */\n  var isInteger = typed('isInteger', {\n    'number': number.isInteger,\n    // TODO: what to do with isInteger(add(0.1, 0.2))  ?\n    'BigNumber': function BigNumber(x) {\n      return x.isInt();\n    },\n    'Fraction': function Fraction(x) {\n      return x.d === 1 && isFinite(x.n);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, isInteger);\n    }\n  });\n  return isInteger;\n}\n\nexports.name = 'isInteger';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var getType = load(require('../../utils/typeof'));\n  /**\n   * Improve error messages for statistics functions. Errors are typically\n   * thrown in an internally used function like larger, causing the error\n   * not to mention the function (like max) which is actually used by the user.\n   *\n   * @param {Error} err\n   * @param {String} fnName\n   * @param {*} [value]\n   * @return {Error}\n   */\n\n  return function improveErrorMessage(err, fnName, value) {\n    // TODO: add information with the index (also needs transform in expression parser)\n    var details;\n\n    if (String(err).indexOf('Unexpected type') !== -1) {\n      details = arguments.length > 2 ? ' (type: ' + getType(value) + ', value: ' + JSON.stringify(value) + ')' : ' (type: ' + err.data.actual + ')';\n      return new TypeError('Cannot calculate ' + fnName + ', unexpected type of argument' + details);\n    }\n\n    if (String(err).indexOf('complex numbers') !== -1) {\n      details = arguments.length > 2 ? ' (type: ' + getType(value) + ', value: ' + JSON.stringify(value) + ')' : '';\n      return new TypeError('Cannot calculate ' + fnName + ', no ordering relation is defined for complex numbers' + details);\n    }\n\n    return err;\n  };\n}\n\nexports.factory = factory;","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\n\n/** A logger that does nothing when log messages are sent to it. */\nvar NullLogger =\n/** @class */\nfunction () {\n  function NullLogger() {}\n  /** @inheritDoc */\n  // tslint:disable-next-line\n\n\n  NullLogger.prototype.log = function (_logLevel, _message) {};\n  /** The singleton instance of the {@link @aspnet/signalr.NullLogger}. */\n\n\n  NullLogger.instance = new NullLogger();\n  return NullLogger;\n}();\n\nexport { NullLogger };","//     Underscore.js 1.9.1\n//     http://underscorejs.org\n//     (c) 2009-2018 Jeremy Ashkenas, DocumentCloud and Investigative Reporters & Editors\n//     Underscore may be freely distributed under the MIT license.\n(function () {\n  // Baseline setup\n  // --------------\n  // Establish the root object, `window` (`self`) in the browser, `global`\n  // on the server, or `this` in some virtual machines. We use `self`\n  // instead of `window` for `WebWorker` support.\n  var root = typeof self == 'object' && self.self === self && self || typeof global == 'object' && global.global === global && global || this || {}; // Save the previous value of the `_` variable.\n\n  var previousUnderscore = root._; // Save bytes in the minified (but not gzipped) version:\n\n  var ArrayProto = Array.prototype,\n      ObjProto = Object.prototype;\n  var SymbolProto = typeof Symbol !== 'undefined' ? Symbol.prototype : null; // Create quick reference variables for speed access to core prototypes.\n\n  var push = ArrayProto.push,\n      slice = ArrayProto.slice,\n      toString = ObjProto.toString,\n      hasOwnProperty = ObjProto.hasOwnProperty; // All **ECMAScript 5** native function implementations that we hope to use\n  // are declared here.\n\n  var nativeIsArray = Array.isArray,\n      nativeKeys = Object.keys,\n      nativeCreate = Object.create; // Naked function reference for surrogate-prototype-swapping.\n\n  var Ctor = function Ctor() {}; // Create a safe reference to the Underscore object for use below.\n\n\n  var _ = function _(obj) {\n    if (obj instanceof _) return obj;\n    if (!(this instanceof _)) return new _(obj);\n    this._wrapped = obj;\n  }; // Export the Underscore object for **Node.js**, with\n  // backwards-compatibility for their old module API. If we're in\n  // the browser, add `_` as a global object.\n  // (`nodeType` is checked to ensure that `module`\n  // and `exports` are not HTML elements.)\n\n\n  if (typeof exports != 'undefined' && !exports.nodeType) {\n    if (typeof module != 'undefined' && !module.nodeType && module.exports) {\n      exports = module.exports = _;\n    }\n\n    exports._ = _;\n  } else {\n    root._ = _;\n  } // Current version.\n\n\n  _.VERSION = '1.9.1'; // Internal function that returns an efficient (for current engines) version\n  // of the passed-in callback, to be repeatedly applied in other Underscore\n  // functions.\n\n  var optimizeCb = function optimizeCb(func, context, argCount) {\n    if (context === void 0) return func;\n\n    switch (argCount == null ? 3 : argCount) {\n      case 1:\n        return function (value) {\n          return func.call(context, value);\n        };\n      // The 2-argument case is omitted because we’re not using it.\n\n      case 3:\n        return function (value, index, collection) {\n          return func.call(context, value, index, collection);\n        };\n\n      case 4:\n        return function (accumulator, value, index, collection) {\n          return func.call(context, accumulator, value, index, collection);\n        };\n    }\n\n    return function () {\n      return func.apply(context, arguments);\n    };\n  };\n\n  var builtinIteratee; // An internal function to generate callbacks that can be applied to each\n  // element in a collection, returning the desired result — either `identity`,\n  // an arbitrary callback, a property matcher, or a property accessor.\n\n  var cb = function cb(value, context, argCount) {\n    if (_.iteratee !== builtinIteratee) return _.iteratee(value, context);\n    if (value == null) return _.identity;\n    if (_.isFunction(value)) return optimizeCb(value, context, argCount);\n    if (_.isObject(value) && !_.isArray(value)) return _.matcher(value);\n    return _.property(value);\n  }; // External wrapper for our callback generator. Users may customize\n  // `_.iteratee` if they want additional predicate/iteratee shorthand styles.\n  // This abstraction hides the internal-only argCount argument.\n\n\n  _.iteratee = builtinIteratee = function builtinIteratee(value, context) {\n    return cb(value, context, Infinity);\n  }; // Some functions take a variable number of arguments, or a few expected\n  // arguments at the beginning and then a variable number of values to operate\n  // on. This helper accumulates all remaining arguments past the function’s\n  // argument length (or an explicit `startIndex`), into an array that becomes\n  // the last argument. Similar to ES6’s \"rest parameter\".\n\n\n  var restArguments = function restArguments(func, startIndex) {\n    startIndex = startIndex == null ? func.length - 1 : +startIndex;\n    return function () {\n      var length = Math.max(arguments.length - startIndex, 0),\n          rest = Array(length),\n          index = 0;\n\n      for (; index < length; index++) {\n        rest[index] = arguments[index + startIndex];\n      }\n\n      switch (startIndex) {\n        case 0:\n          return func.call(this, rest);\n\n        case 1:\n          return func.call(this, arguments[0], rest);\n\n        case 2:\n          return func.call(this, arguments[0], arguments[1], rest);\n      }\n\n      var args = Array(startIndex + 1);\n\n      for (index = 0; index < startIndex; index++) {\n        args[index] = arguments[index];\n      }\n\n      args[startIndex] = rest;\n      return func.apply(this, args);\n    };\n  }; // An internal function for creating a new object that inherits from another.\n\n\n  var baseCreate = function baseCreate(prototype) {\n    if (!_.isObject(prototype)) return {};\n    if (nativeCreate) return nativeCreate(prototype);\n    Ctor.prototype = prototype;\n    var result = new Ctor();\n    Ctor.prototype = null;\n    return result;\n  };\n\n  var shallowProperty = function shallowProperty(key) {\n    return function (obj) {\n      return obj == null ? void 0 : obj[key];\n    };\n  };\n\n  var has = function has(obj, path) {\n    return obj != null && hasOwnProperty.call(obj, path);\n  };\n\n  var deepGet = function deepGet(obj, path) {\n    var length = path.length;\n\n    for (var i = 0; i < length; i++) {\n      if (obj == null) return void 0;\n      obj = obj[path[i]];\n    }\n\n    return length ? obj : void 0;\n  }; // Helper for collection methods to determine whether a collection\n  // should be iterated as an array or as an object.\n  // Related: http://people.mozilla.org/~jorendorff/es6-draft.html#sec-tolength\n  // Avoids a very nasty iOS 8 JIT bug on ARM-64. #2094\n\n\n  var MAX_ARRAY_INDEX = Math.pow(2, 53) - 1;\n  var getLength = shallowProperty('length');\n\n  var isArrayLike = function isArrayLike(collection) {\n    var length = getLength(collection);\n    return typeof length == 'number' && length >= 0 && length <= MAX_ARRAY_INDEX;\n  }; // Collection Functions\n  // --------------------\n  // The cornerstone, an `each` implementation, aka `forEach`.\n  // Handles raw objects in addition to array-likes. Treats all\n  // sparse array-likes as if they were dense.\n\n\n  _.each = _.forEach = function (obj, iteratee, context) {\n    iteratee = optimizeCb(iteratee, context);\n    var i, length;\n\n    if (isArrayLike(obj)) {\n      for (i = 0, length = obj.length; i < length; i++) {\n        iteratee(obj[i], i, obj);\n      }\n    } else {\n      var keys = _.keys(obj);\n\n      for (i = 0, length = keys.length; i < length; i++) {\n        iteratee(obj[keys[i]], keys[i], obj);\n      }\n    }\n\n    return obj;\n  }; // Return the results of applying the iteratee to each element.\n\n\n  _.map = _.collect = function (obj, iteratee, context) {\n    iteratee = cb(iteratee, context);\n\n    var keys = !isArrayLike(obj) && _.keys(obj),\n        length = (keys || obj).length,\n        results = Array(length);\n\n    for (var index = 0; index < length; index++) {\n      var currentKey = keys ? keys[index] : index;\n      results[index] = iteratee(obj[currentKey], currentKey, obj);\n    }\n\n    return results;\n  }; // Create a reducing function iterating left or right.\n\n\n  var createReduce = function createReduce(dir) {\n    // Wrap code that reassigns argument variables in a separate function than\n    // the one that accesses `arguments.length` to avoid a perf hit. (#1991)\n    var reducer = function reducer(obj, iteratee, memo, initial) {\n      var keys = !isArrayLike(obj) && _.keys(obj),\n          length = (keys || obj).length,\n          index = dir > 0 ? 0 : length - 1;\n\n      if (!initial) {\n        memo = obj[keys ? keys[index] : index];\n        index += dir;\n      }\n\n      for (; index >= 0 && index < length; index += dir) {\n        var currentKey = keys ? keys[index] : index;\n        memo = iteratee(memo, obj[currentKey], currentKey, obj);\n      }\n\n      return memo;\n    };\n\n    return function (obj, iteratee, memo, context) {\n      var initial = arguments.length >= 3;\n      return reducer(obj, optimizeCb(iteratee, context, 4), memo, initial);\n    };\n  }; // **Reduce** builds up a single result from a list of values, aka `inject`,\n  // or `foldl`.\n\n\n  _.reduce = _.foldl = _.inject = createReduce(1); // The right-associative version of reduce, also known as `foldr`.\n\n  _.reduceRight = _.foldr = createReduce(-1); // Return the first value which passes a truth test. Aliased as `detect`.\n\n  _.find = _.detect = function (obj, predicate, context) {\n    var keyFinder = isArrayLike(obj) ? _.findIndex : _.findKey;\n    var key = keyFinder(obj, predicate, context);\n    if (key !== void 0 && key !== -1) return obj[key];\n  }; // Return all the elements that pass a truth test.\n  // Aliased as `select`.\n\n\n  _.filter = _.select = function (obj, predicate, context) {\n    var results = [];\n    predicate = cb(predicate, context);\n\n    _.each(obj, function (value, index, list) {\n      if (predicate(value, index, list)) results.push(value);\n    });\n\n    return results;\n  }; // Return all the elements for which a truth test fails.\n\n\n  _.reject = function (obj, predicate, context) {\n    return _.filter(obj, _.negate(cb(predicate)), context);\n  }; // Determine whether all of the elements match a truth test.\n  // Aliased as `all`.\n\n\n  _.every = _.all = function (obj, predicate, context) {\n    predicate = cb(predicate, context);\n\n    var keys = !isArrayLike(obj) && _.keys(obj),\n        length = (keys || obj).length;\n\n    for (var index = 0; index < length; index++) {\n      var currentKey = keys ? keys[index] : index;\n      if (!predicate(obj[currentKey], currentKey, obj)) return false;\n    }\n\n    return true;\n  }; // Determine if at least one element in the object matches a truth test.\n  // Aliased as `any`.\n\n\n  _.some = _.any = function (obj, predicate, context) {\n    predicate = cb(predicate, context);\n\n    var keys = !isArrayLike(obj) && _.keys(obj),\n        length = (keys || obj).length;\n\n    for (var index = 0; index < length; index++) {\n      var currentKey = keys ? keys[index] : index;\n      if (predicate(obj[currentKey], currentKey, obj)) return true;\n    }\n\n    return false;\n  }; // Determine if the array or object contains a given item (using `===`).\n  // Aliased as `includes` and `include`.\n\n\n  _.contains = _.includes = _.include = function (obj, item, fromIndex, guard) {\n    if (!isArrayLike(obj)) obj = _.values(obj);\n    if (typeof fromIndex != 'number' || guard) fromIndex = 0;\n    return _.indexOf(obj, item, fromIndex) >= 0;\n  }; // Invoke a method (with arguments) on every item in a collection.\n\n\n  _.invoke = restArguments(function (obj, path, args) {\n    var contextPath, func;\n\n    if (_.isFunction(path)) {\n      func = path;\n    } else if (_.isArray(path)) {\n      contextPath = path.slice(0, -1);\n      path = path[path.length - 1];\n    }\n\n    return _.map(obj, function (context) {\n      var method = func;\n\n      if (!method) {\n        if (contextPath && contextPath.length) {\n          context = deepGet(context, contextPath);\n        }\n\n        if (context == null) return void 0;\n        method = context[path];\n      }\n\n      return method == null ? method : method.apply(context, args);\n    });\n  }); // Convenience version of a common use case of `map`: fetching a property.\n\n  _.pluck = function (obj, key) {\n    return _.map(obj, _.property(key));\n  }; // Convenience version of a common use case of `filter`: selecting only objects\n  // containing specific `key:value` pairs.\n\n\n  _.where = function (obj, attrs) {\n    return _.filter(obj, _.matcher(attrs));\n  }; // Convenience version of a common use case of `find`: getting the first object\n  // containing specific `key:value` pairs.\n\n\n  _.findWhere = function (obj, attrs) {\n    return _.find(obj, _.matcher(attrs));\n  }; // Return the maximum element (or element-based computation).\n\n\n  _.max = function (obj, iteratee, context) {\n    var result = -Infinity,\n        lastComputed = -Infinity,\n        value,\n        computed;\n\n    if (iteratee == null || typeof iteratee == 'number' && typeof obj[0] != 'object' && obj != null) {\n      obj = isArrayLike(obj) ? obj : _.values(obj);\n\n      for (var i = 0, length = obj.length; i < length; i++) {\n        value = obj[i];\n\n        if (value != null && value > result) {\n          result = value;\n        }\n      }\n    } else {\n      iteratee = cb(iteratee, context);\n\n      _.each(obj, function (v, index, list) {\n        computed = iteratee(v, index, list);\n\n        if (computed > lastComputed || computed === -Infinity && result === -Infinity) {\n          result = v;\n          lastComputed = computed;\n        }\n      });\n    }\n\n    return result;\n  }; // Return the minimum element (or element-based computation).\n\n\n  _.min = function (obj, iteratee, context) {\n    var result = Infinity,\n        lastComputed = Infinity,\n        value,\n        computed;\n\n    if (iteratee == null || typeof iteratee == 'number' && typeof obj[0] != 'object' && obj != null) {\n      obj = isArrayLike(obj) ? obj : _.values(obj);\n\n      for (var i = 0, length = obj.length; i < length; i++) {\n        value = obj[i];\n\n        if (value != null && value < result) {\n          result = value;\n        }\n      }\n    } else {\n      iteratee = cb(iteratee, context);\n\n      _.each(obj, function (v, index, list) {\n        computed = iteratee(v, index, list);\n\n        if (computed < lastComputed || computed === Infinity && result === Infinity) {\n          result = v;\n          lastComputed = computed;\n        }\n      });\n    }\n\n    return result;\n  }; // Shuffle a collection.\n\n\n  _.shuffle = function (obj) {\n    return _.sample(obj, Infinity);\n  }; // Sample **n** random values from a collection using the modern version of the\n  // [Fisher-Yates shuffle](http://en.wikipedia.org/wiki/Fisher–Yates_shuffle).\n  // If **n** is not specified, returns a single random element.\n  // The internal `guard` argument allows it to work with `map`.\n\n\n  _.sample = function (obj, n, guard) {\n    if (n == null || guard) {\n      if (!isArrayLike(obj)) obj = _.values(obj);\n      return obj[_.random(obj.length - 1)];\n    }\n\n    var sample = isArrayLike(obj) ? _.clone(obj) : _.values(obj);\n    var length = getLength(sample);\n    n = Math.max(Math.min(n, length), 0);\n    var last = length - 1;\n\n    for (var index = 0; index < n; index++) {\n      var rand = _.random(index, last);\n\n      var temp = sample[index];\n      sample[index] = sample[rand];\n      sample[rand] = temp;\n    }\n\n    return sample.slice(0, n);\n  }; // Sort the object's values by a criterion produced by an iteratee.\n\n\n  _.sortBy = function (obj, iteratee, context) {\n    var index = 0;\n    iteratee = cb(iteratee, context);\n    return _.pluck(_.map(obj, function (value, key, list) {\n      return {\n        value: value,\n        index: index++,\n        criteria: iteratee(value, key, list)\n      };\n    }).sort(function (left, right) {\n      var a = left.criteria;\n      var b = right.criteria;\n\n      if (a !== b) {\n        if (a > b || a === void 0) return 1;\n        if (a < b || b === void 0) return -1;\n      }\n\n      return left.index - right.index;\n    }), 'value');\n  }; // An internal function used for aggregate \"group by\" operations.\n\n\n  var group = function group(behavior, partition) {\n    return function (obj, iteratee, context) {\n      var result = partition ? [[], []] : {};\n      iteratee = cb(iteratee, context);\n\n      _.each(obj, function (value, index) {\n        var key = iteratee(value, index, obj);\n        behavior(result, value, key);\n      });\n\n      return result;\n    };\n  }; // Groups the object's values by a criterion. Pass either a string attribute\n  // to group by, or a function that returns the criterion.\n\n\n  _.groupBy = group(function (result, value, key) {\n    if (has(result, key)) result[key].push(value);else result[key] = [value];\n  }); // Indexes the object's values by a criterion, similar to `groupBy`, but for\n  // when you know that your index values will be unique.\n\n  _.indexBy = group(function (result, value, key) {\n    result[key] = value;\n  }); // Counts instances of an object that group by a certain criterion. Pass\n  // either a string attribute to count by, or a function that returns the\n  // criterion.\n\n  _.countBy = group(function (result, value, key) {\n    if (has(result, key)) result[key]++;else result[key] = 1;\n  });\n  var reStrSymbol = /[^\\ud800-\\udfff]|[\\ud800-\\udbff][\\udc00-\\udfff]|[\\ud800-\\udfff]/g; // Safely create a real, live array from anything iterable.\n\n  _.toArray = function (obj) {\n    if (!obj) return [];\n    if (_.isArray(obj)) return slice.call(obj);\n\n    if (_.isString(obj)) {\n      // Keep surrogate pair characters together\n      return obj.match(reStrSymbol);\n    }\n\n    if (isArrayLike(obj)) return _.map(obj, _.identity);\n    return _.values(obj);\n  }; // Return the number of elements in an object.\n\n\n  _.size = function (obj) {\n    if (obj == null) return 0;\n    return isArrayLike(obj) ? obj.length : _.keys(obj).length;\n  }; // Split a collection into two arrays: one whose elements all satisfy the given\n  // predicate, and one whose elements all do not satisfy the predicate.\n\n\n  _.partition = group(function (result, value, pass) {\n    result[pass ? 0 : 1].push(value);\n  }, true); // Array Functions\n  // ---------------\n  // Get the first element of an array. Passing **n** will return the first N\n  // values in the array. Aliased as `head` and `take`. The **guard** check\n  // allows it to work with `_.map`.\n\n  _.first = _.head = _.take = function (array, n, guard) {\n    if (array == null || array.length < 1) return n == null ? void 0 : [];\n    if (n == null || guard) return array[0];\n    return _.initial(array, array.length - n);\n  }; // Returns everything but the last entry of the array. Especially useful on\n  // the arguments object. Passing **n** will return all the values in\n  // the array, excluding the last N.\n\n\n  _.initial = function (array, n, guard) {\n    return slice.call(array, 0, Math.max(0, array.length - (n == null || guard ? 1 : n)));\n  }; // Get the last element of an array. Passing **n** will return the last N\n  // values in the array.\n\n\n  _.last = function (array, n, guard) {\n    if (array == null || array.length < 1) return n == null ? void 0 : [];\n    if (n == null || guard) return array[array.length - 1];\n    return _.rest(array, Math.max(0, array.length - n));\n  }; // Returns everything but the first entry of the array. Aliased as `tail` and `drop`.\n  // Especially useful on the arguments object. Passing an **n** will return\n  // the rest N values in the array.\n\n\n  _.rest = _.tail = _.drop = function (array, n, guard) {\n    return slice.call(array, n == null || guard ? 1 : n);\n  }; // Trim out all falsy values from an array.\n\n\n  _.compact = function (array) {\n    return _.filter(array, Boolean);\n  }; // Internal implementation of a recursive `flatten` function.\n\n\n  var flatten = function flatten(input, shallow, strict, output) {\n    output = output || [];\n    var idx = output.length;\n\n    for (var i = 0, length = getLength(input); i < length; i++) {\n      var value = input[i];\n\n      if (isArrayLike(value) && (_.isArray(value) || _.isArguments(value))) {\n        // Flatten current level of array or arguments object.\n        if (shallow) {\n          var j = 0,\n              len = value.length;\n\n          while (j < len) {\n            output[idx++] = value[j++];\n          }\n        } else {\n          flatten(value, shallow, strict, output);\n          idx = output.length;\n        }\n      } else if (!strict) {\n        output[idx++] = value;\n      }\n    }\n\n    return output;\n  }; // Flatten out an array, either recursively (by default), or just one level.\n\n\n  _.flatten = function (array, shallow) {\n    return flatten(array, shallow, false);\n  }; // Return a version of the array that does not contain the specified value(s).\n\n\n  _.without = restArguments(function (array, otherArrays) {\n    return _.difference(array, otherArrays);\n  }); // Produce a duplicate-free version of the array. If the array has already\n  // been sorted, you have the option of using a faster algorithm.\n  // The faster algorithm will not work with an iteratee if the iteratee\n  // is not a one-to-one function, so providing an iteratee will disable\n  // the faster algorithm.\n  // Aliased as `unique`.\n\n  _.uniq = _.unique = function (array, isSorted, iteratee, context) {\n    if (!_.isBoolean(isSorted)) {\n      context = iteratee;\n      iteratee = isSorted;\n      isSorted = false;\n    }\n\n    if (iteratee != null) iteratee = cb(iteratee, context);\n    var result = [];\n    var seen = [];\n\n    for (var i = 0, length = getLength(array); i < length; i++) {\n      var value = array[i],\n          computed = iteratee ? iteratee(value, i, array) : value;\n\n      if (isSorted && !iteratee) {\n        if (!i || seen !== computed) result.push(value);\n        seen = computed;\n      } else if (iteratee) {\n        if (!_.contains(seen, computed)) {\n          seen.push(computed);\n          result.push(value);\n        }\n      } else if (!_.contains(result, value)) {\n        result.push(value);\n      }\n    }\n\n    return result;\n  }; // Produce an array that contains the union: each distinct element from all of\n  // the passed-in arrays.\n\n\n  _.union = restArguments(function (arrays) {\n    return _.uniq(flatten(arrays, true, true));\n  }); // Produce an array that contains every item shared between all the\n  // passed-in arrays.\n\n  _.intersection = function (array) {\n    var result = [];\n    var argsLength = arguments.length;\n\n    for (var i = 0, length = getLength(array); i < length; i++) {\n      var item = array[i];\n      if (_.contains(result, item)) continue;\n      var j;\n\n      for (j = 1; j < argsLength; j++) {\n        if (!_.contains(arguments[j], item)) break;\n      }\n\n      if (j === argsLength) result.push(item);\n    }\n\n    return result;\n  }; // Take the difference between one array and a number of other arrays.\n  // Only the elements present in just the first array will remain.\n\n\n  _.difference = restArguments(function (array, rest) {\n    rest = flatten(rest, true, true);\n    return _.filter(array, function (value) {\n      return !_.contains(rest, value);\n    });\n  }); // Complement of _.zip. Unzip accepts an array of arrays and groups\n  // each array's elements on shared indices.\n\n  _.unzip = function (array) {\n    var length = array && _.max(array, getLength).length || 0;\n    var result = Array(length);\n\n    for (var index = 0; index < length; index++) {\n      result[index] = _.pluck(array, index);\n    }\n\n    return result;\n  }; // Zip together multiple lists into a single array -- elements that share\n  // an index go together.\n\n\n  _.zip = restArguments(_.unzip); // Converts lists into objects. Pass either a single array of `[key, value]`\n  // pairs, or two parallel arrays of the same length -- one of keys, and one of\n  // the corresponding values. Passing by pairs is the reverse of _.pairs.\n\n  _.object = function (list, values) {\n    var result = {};\n\n    for (var i = 0, length = getLength(list); i < length; i++) {\n      if (values) {\n        result[list[i]] = values[i];\n      } else {\n        result[list[i][0]] = list[i][1];\n      }\n    }\n\n    return result;\n  }; // Generator function to create the findIndex and findLastIndex functions.\n\n\n  var createPredicateIndexFinder = function createPredicateIndexFinder(dir) {\n    return function (array, predicate, context) {\n      predicate = cb(predicate, context);\n      var length = getLength(array);\n      var index = dir > 0 ? 0 : length - 1;\n\n      for (; index >= 0 && index < length; index += dir) {\n        if (predicate(array[index], index, array)) return index;\n      }\n\n      return -1;\n    };\n  }; // Returns the first index on an array-like that passes a predicate test.\n\n\n  _.findIndex = createPredicateIndexFinder(1);\n  _.findLastIndex = createPredicateIndexFinder(-1); // Use a comparator function to figure out the smallest index at which\n  // an object should be inserted so as to maintain order. Uses binary search.\n\n  _.sortedIndex = function (array, obj, iteratee, context) {\n    iteratee = cb(iteratee, context, 1);\n    var value = iteratee(obj);\n    var low = 0,\n        high = getLength(array);\n\n    while (low < high) {\n      var mid = Math.floor((low + high) / 2);\n      if (iteratee(array[mid]) < value) low = mid + 1;else high = mid;\n    }\n\n    return low;\n  }; // Generator function to create the indexOf and lastIndexOf functions.\n\n\n  var createIndexFinder = function createIndexFinder(dir, predicateFind, sortedIndex) {\n    return function (array, item, idx) {\n      var i = 0,\n          length = getLength(array);\n\n      if (typeof idx == 'number') {\n        if (dir > 0) {\n          i = idx >= 0 ? idx : Math.max(idx + length, i);\n        } else {\n          length = idx >= 0 ? Math.min(idx + 1, length) : idx + length + 1;\n        }\n      } else if (sortedIndex && idx && length) {\n        idx = sortedIndex(array, item);\n        return array[idx] === item ? idx : -1;\n      }\n\n      if (item !== item) {\n        idx = predicateFind(slice.call(array, i, length), _.isNaN);\n        return idx >= 0 ? idx + i : -1;\n      }\n\n      for (idx = dir > 0 ? i : length - 1; idx >= 0 && idx < length; idx += dir) {\n        if (array[idx] === item) return idx;\n      }\n\n      return -1;\n    };\n  }; // Return the position of the first occurrence of an item in an array,\n  // or -1 if the item is not included in the array.\n  // If the array is large and already in sort order, pass `true`\n  // for **isSorted** to use binary search.\n\n\n  _.indexOf = createIndexFinder(1, _.findIndex, _.sortedIndex);\n  _.lastIndexOf = createIndexFinder(-1, _.findLastIndex); // Generate an integer Array containing an arithmetic progression. A port of\n  // the native Python `range()` function. See\n  // [the Python documentation](http://docs.python.org/library/functions.html#range).\n\n  _.range = function (start, stop, step) {\n    if (stop == null) {\n      stop = start || 0;\n      start = 0;\n    }\n\n    if (!step) {\n      step = stop < start ? -1 : 1;\n    }\n\n    var length = Math.max(Math.ceil((stop - start) / step), 0);\n    var range = Array(length);\n\n    for (var idx = 0; idx < length; idx++, start += step) {\n      range[idx] = start;\n    }\n\n    return range;\n  }; // Chunk a single array into multiple arrays, each containing `count` or fewer\n  // items.\n\n\n  _.chunk = function (array, count) {\n    if (count == null || count < 1) return [];\n    var result = [];\n    var i = 0,\n        length = array.length;\n\n    while (i < length) {\n      result.push(slice.call(array, i, i += count));\n    }\n\n    return result;\n  }; // Function (ahem) Functions\n  // ------------------\n  // Determines whether to execute a function as a constructor\n  // or a normal function with the provided arguments.\n\n\n  var executeBound = function executeBound(sourceFunc, boundFunc, context, callingContext, args) {\n    if (!(callingContext instanceof boundFunc)) return sourceFunc.apply(context, args);\n    var self = baseCreate(sourceFunc.prototype);\n    var result = sourceFunc.apply(self, args);\n    if (_.isObject(result)) return result;\n    return self;\n  }; // Create a function bound to a given object (assigning `this`, and arguments,\n  // optionally). Delegates to **ECMAScript 5**'s native `Function.bind` if\n  // available.\n\n\n  _.bind = restArguments(function (func, context, args) {\n    if (!_.isFunction(func)) throw new TypeError('Bind must be called on a function');\n    var bound = restArguments(function (callArgs) {\n      return executeBound(func, bound, context, this, args.concat(callArgs));\n    });\n    return bound;\n  }); // Partially apply a function by creating a version that has had some of its\n  // arguments pre-filled, without changing its dynamic `this` context. _ acts\n  // as a placeholder by default, allowing any combination of arguments to be\n  // pre-filled. Set `_.partial.placeholder` for a custom placeholder argument.\n\n  _.partial = restArguments(function (func, boundArgs) {\n    var placeholder = _.partial.placeholder;\n\n    var bound = function bound() {\n      var position = 0,\n          length = boundArgs.length;\n      var args = Array(length);\n\n      for (var i = 0; i < length; i++) {\n        args[i] = boundArgs[i] === placeholder ? arguments[position++] : boundArgs[i];\n      }\n\n      while (position < arguments.length) {\n        args.push(arguments[position++]);\n      }\n\n      return executeBound(func, bound, this, this, args);\n    };\n\n    return bound;\n  });\n  _.partial.placeholder = _; // Bind a number of an object's methods to that object. Remaining arguments\n  // are the method names to be bound. Useful for ensuring that all callbacks\n  // defined on an object belong to it.\n\n  _.bindAll = restArguments(function (obj, keys) {\n    keys = flatten(keys, false, false);\n    var index = keys.length;\n    if (index < 1) throw new Error('bindAll must be passed function names');\n\n    while (index--) {\n      var key = keys[index];\n      obj[key] = _.bind(obj[key], obj);\n    }\n  }); // Memoize an expensive function by storing its results.\n\n  _.memoize = function (func, hasher) {\n    var memoize = function memoize(key) {\n      var cache = memoize.cache;\n      var address = '' + (hasher ? hasher.apply(this, arguments) : key);\n      if (!has(cache, address)) cache[address] = func.apply(this, arguments);\n      return cache[address];\n    };\n\n    memoize.cache = {};\n    return memoize;\n  }; // Delays a function for the given number of milliseconds, and then calls\n  // it with the arguments supplied.\n\n\n  _.delay = restArguments(function (func, wait, args) {\n    return setTimeout(function () {\n      return func.apply(null, args);\n    }, wait);\n  }); // Defers a function, scheduling it to run after the current call stack has\n  // cleared.\n\n  _.defer = _.partial(_.delay, _, 1); // Returns a function, that, when invoked, will only be triggered at most once\n  // during a given window of time. Normally, the throttled function will run\n  // as much as it can, without ever going more than once per `wait` duration;\n  // but if you'd like to disable the execution on the leading edge, pass\n  // `{leading: false}`. To disable execution on the trailing edge, ditto.\n\n  _.throttle = function (func, wait, options) {\n    var timeout, context, args, result;\n    var previous = 0;\n    if (!options) options = {};\n\n    var later = function later() {\n      previous = options.leading === false ? 0 : _.now();\n      timeout = null;\n      result = func.apply(context, args);\n      if (!timeout) context = args = null;\n    };\n\n    var throttled = function throttled() {\n      var now = _.now();\n\n      if (!previous && options.leading === false) previous = now;\n      var remaining = wait - (now - previous);\n      context = this;\n      args = arguments;\n\n      if (remaining <= 0 || remaining > wait) {\n        if (timeout) {\n          clearTimeout(timeout);\n          timeout = null;\n        }\n\n        previous = now;\n        result = func.apply(context, args);\n        if (!timeout) context = args = null;\n      } else if (!timeout && options.trailing !== false) {\n        timeout = setTimeout(later, remaining);\n      }\n\n      return result;\n    };\n\n    throttled.cancel = function () {\n      clearTimeout(timeout);\n      previous = 0;\n      timeout = context = args = null;\n    };\n\n    return throttled;\n  }; // Returns a function, that, as long as it continues to be invoked, will not\n  // be triggered. The function will be called after it stops being called for\n  // N milliseconds. If `immediate` is passed, trigger the function on the\n  // leading edge, instead of the trailing.\n\n\n  _.debounce = function (func, wait, immediate) {\n    var timeout, result;\n\n    var later = function later(context, args) {\n      timeout = null;\n      if (args) result = func.apply(context, args);\n    };\n\n    var debounced = restArguments(function (args) {\n      if (timeout) clearTimeout(timeout);\n\n      if (immediate) {\n        var callNow = !timeout;\n        timeout = setTimeout(later, wait);\n        if (callNow) result = func.apply(this, args);\n      } else {\n        timeout = _.delay(later, wait, this, args);\n      }\n\n      return result;\n    });\n\n    debounced.cancel = function () {\n      clearTimeout(timeout);\n      timeout = null;\n    };\n\n    return debounced;\n  }; // Returns the first function passed as an argument to the second,\n  // allowing you to adjust arguments, run code before and after, and\n  // conditionally execute the original function.\n\n\n  _.wrap = function (func, wrapper) {\n    return _.partial(wrapper, func);\n  }; // Returns a negated version of the passed-in predicate.\n\n\n  _.negate = function (predicate) {\n    return function () {\n      return !predicate.apply(this, arguments);\n    };\n  }; // Returns a function that is the composition of a list of functions, each\n  // consuming the return value of the function that follows.\n\n\n  _.compose = function () {\n    var args = arguments;\n    var start = args.length - 1;\n    return function () {\n      var i = start;\n      var result = args[start].apply(this, arguments);\n\n      while (i--) {\n        result = args[i].call(this, result);\n      }\n\n      return result;\n    };\n  }; // Returns a function that will only be executed on and after the Nth call.\n\n\n  _.after = function (times, func) {\n    return function () {\n      if (--times < 1) {\n        return func.apply(this, arguments);\n      }\n    };\n  }; // Returns a function that will only be executed up to (but not including) the Nth call.\n\n\n  _.before = function (times, func) {\n    var memo;\n    return function () {\n      if (--times > 0) {\n        memo = func.apply(this, arguments);\n      }\n\n      if (times <= 1) func = null;\n      return memo;\n    };\n  }; // Returns a function that will be executed at most one time, no matter how\n  // often you call it. Useful for lazy initialization.\n\n\n  _.once = _.partial(_.before, 2);\n  _.restArguments = restArguments; // Object Functions\n  // ----------------\n  // Keys in IE < 9 that won't be iterated by `for key in ...` and thus missed.\n\n  var hasEnumBug = !{\n    toString: null\n  }.propertyIsEnumerable('toString');\n  var nonEnumerableProps = ['valueOf', 'isPrototypeOf', 'toString', 'propertyIsEnumerable', 'hasOwnProperty', 'toLocaleString'];\n\n  var collectNonEnumProps = function collectNonEnumProps(obj, keys) {\n    var nonEnumIdx = nonEnumerableProps.length;\n    var constructor = obj.constructor;\n    var proto = _.isFunction(constructor) && constructor.prototype || ObjProto; // Constructor is a special case.\n\n    var prop = 'constructor';\n    if (has(obj, prop) && !_.contains(keys, prop)) keys.push(prop);\n\n    while (nonEnumIdx--) {\n      prop = nonEnumerableProps[nonEnumIdx];\n\n      if (prop in obj && obj[prop] !== proto[prop] && !_.contains(keys, prop)) {\n        keys.push(prop);\n      }\n    }\n  }; // Retrieve the names of an object's own properties.\n  // Delegates to **ECMAScript 5**'s native `Object.keys`.\n\n\n  _.keys = function (obj) {\n    if (!_.isObject(obj)) return [];\n    if (nativeKeys) return nativeKeys(obj);\n    var keys = [];\n\n    for (var key in obj) {\n      if (has(obj, key)) keys.push(key);\n    } // Ahem, IE < 9.\n\n\n    if (hasEnumBug) collectNonEnumProps(obj, keys);\n    return keys;\n  }; // Retrieve all the property names of an object.\n\n\n  _.allKeys = function (obj) {\n    if (!_.isObject(obj)) return [];\n    var keys = [];\n\n    for (var key in obj) {\n      keys.push(key);\n    } // Ahem, IE < 9.\n\n\n    if (hasEnumBug) collectNonEnumProps(obj, keys);\n    return keys;\n  }; // Retrieve the values of an object's properties.\n\n\n  _.values = function (obj) {\n    var keys = _.keys(obj);\n\n    var length = keys.length;\n    var values = Array(length);\n\n    for (var i = 0; i < length; i++) {\n      values[i] = obj[keys[i]];\n    }\n\n    return values;\n  }; // Returns the results of applying the iteratee to each element of the object.\n  // In contrast to _.map it returns an object.\n\n\n  _.mapObject = function (obj, iteratee, context) {\n    iteratee = cb(iteratee, context);\n\n    var keys = _.keys(obj),\n        length = keys.length,\n        results = {};\n\n    for (var index = 0; index < length; index++) {\n      var currentKey = keys[index];\n      results[currentKey] = iteratee(obj[currentKey], currentKey, obj);\n    }\n\n    return results;\n  }; // Convert an object into a list of `[key, value]` pairs.\n  // The opposite of _.object.\n\n\n  _.pairs = function (obj) {\n    var keys = _.keys(obj);\n\n    var length = keys.length;\n    var pairs = Array(length);\n\n    for (var i = 0; i < length; i++) {\n      pairs[i] = [keys[i], obj[keys[i]]];\n    }\n\n    return pairs;\n  }; // Invert the keys and values of an object. The values must be serializable.\n\n\n  _.invert = function (obj) {\n    var result = {};\n\n    var keys = _.keys(obj);\n\n    for (var i = 0, length = keys.length; i < length; i++) {\n      result[obj[keys[i]]] = keys[i];\n    }\n\n    return result;\n  }; // Return a sorted list of the function names available on the object.\n  // Aliased as `methods`.\n\n\n  _.functions = _.methods = function (obj) {\n    var names = [];\n\n    for (var key in obj) {\n      if (_.isFunction(obj[key])) names.push(key);\n    }\n\n    return names.sort();\n  }; // An internal function for creating assigner functions.\n\n\n  var createAssigner = function createAssigner(keysFunc, defaults) {\n    return function (obj) {\n      var length = arguments.length;\n      if (defaults) obj = Object(obj);\n      if (length < 2 || obj == null) return obj;\n\n      for (var index = 1; index < length; index++) {\n        var source = arguments[index],\n            keys = keysFunc(source),\n            l = keys.length;\n\n        for (var i = 0; i < l; i++) {\n          var key = keys[i];\n          if (!defaults || obj[key] === void 0) obj[key] = source[key];\n        }\n      }\n\n      return obj;\n    };\n  }; // Extend a given object with all the properties in passed-in object(s).\n\n\n  _.extend = createAssigner(_.allKeys); // Assigns a given object with all the own properties in the passed-in object(s).\n  // (https://developer.mozilla.org/docs/Web/JavaScript/Reference/Global_Objects/Object/assign)\n\n  _.extendOwn = _.assign = createAssigner(_.keys); // Returns the first key on an object that passes a predicate test.\n\n  _.findKey = function (obj, predicate, context) {\n    predicate = cb(predicate, context);\n\n    var keys = _.keys(obj),\n        key;\n\n    for (var i = 0, length = keys.length; i < length; i++) {\n      key = keys[i];\n      if (predicate(obj[key], key, obj)) return key;\n    }\n  }; // Internal pick helper function to determine if `obj` has key `key`.\n\n\n  var keyInObj = function keyInObj(value, key, obj) {\n    return key in obj;\n  }; // Return a copy of the object only containing the whitelisted properties.\n\n\n  _.pick = restArguments(function (obj, keys) {\n    var result = {},\n        iteratee = keys[0];\n    if (obj == null) return result;\n\n    if (_.isFunction(iteratee)) {\n      if (keys.length > 1) iteratee = optimizeCb(iteratee, keys[1]);\n      keys = _.allKeys(obj);\n    } else {\n      iteratee = keyInObj;\n      keys = flatten(keys, false, false);\n      obj = Object(obj);\n    }\n\n    for (var i = 0, length = keys.length; i < length; i++) {\n      var key = keys[i];\n      var value = obj[key];\n      if (iteratee(value, key, obj)) result[key] = value;\n    }\n\n    return result;\n  }); // Return a copy of the object without the blacklisted properties.\n\n  _.omit = restArguments(function (obj, keys) {\n    var iteratee = keys[0],\n        context;\n\n    if (_.isFunction(iteratee)) {\n      iteratee = _.negate(iteratee);\n      if (keys.length > 1) context = keys[1];\n    } else {\n      keys = _.map(flatten(keys, false, false), String);\n\n      iteratee = function iteratee(value, key) {\n        return !_.contains(keys, key);\n      };\n    }\n\n    return _.pick(obj, iteratee, context);\n  }); // Fill in a given object with default properties.\n\n  _.defaults = createAssigner(_.allKeys, true); // Creates an object that inherits from the given prototype object.\n  // If additional properties are provided then they will be added to the\n  // created object.\n\n  _.create = function (prototype, props) {\n    var result = baseCreate(prototype);\n    if (props) _.extendOwn(result, props);\n    return result;\n  }; // Create a (shallow-cloned) duplicate of an object.\n\n\n  _.clone = function (obj) {\n    if (!_.isObject(obj)) return obj;\n    return _.isArray(obj) ? obj.slice() : _.extend({}, obj);\n  }; // Invokes interceptor with the obj, and then returns obj.\n  // The primary purpose of this method is to \"tap into\" a method chain, in\n  // order to perform operations on intermediate results within the chain.\n\n\n  _.tap = function (obj, interceptor) {\n    interceptor(obj);\n    return obj;\n  }; // Returns whether an object has a given set of `key:value` pairs.\n\n\n  _.isMatch = function (object, attrs) {\n    var keys = _.keys(attrs),\n        length = keys.length;\n\n    if (object == null) return !length;\n    var obj = Object(object);\n\n    for (var i = 0; i < length; i++) {\n      var key = keys[i];\n      if (attrs[key] !== obj[key] || !(key in obj)) return false;\n    }\n\n    return true;\n  }; // Internal recursive comparison function for `isEqual`.\n\n\n  var eq, deepEq;\n\n  eq = function eq(a, b, aStack, bStack) {\n    // Identical objects are equal. `0 === -0`, but they aren't identical.\n    // See the [Harmony `egal` proposal](http://wiki.ecmascript.org/doku.php?id=harmony:egal).\n    if (a === b) return a !== 0 || 1 / a === 1 / b; // `null` or `undefined` only equal to itself (strict comparison).\n\n    if (a == null || b == null) return false; // `NaN`s are equivalent, but non-reflexive.\n\n    if (a !== a) return b !== b; // Exhaust primitive checks\n\n    var type = typeof a;\n    if (type !== 'function' && type !== 'object' && typeof b != 'object') return false;\n    return deepEq(a, b, aStack, bStack);\n  }; // Internal recursive comparison function for `isEqual`.\n\n\n  deepEq = function deepEq(a, b, aStack, bStack) {\n    // Unwrap any wrapped objects.\n    if (a instanceof _) a = a._wrapped;\n    if (b instanceof _) b = b._wrapped; // Compare `[[Class]]` names.\n\n    var className = toString.call(a);\n    if (className !== toString.call(b)) return false;\n\n    switch (className) {\n      // Strings, numbers, regular expressions, dates, and booleans are compared by value.\n      case '[object RegExp]': // RegExps are coerced to strings for comparison (Note: '' + /a/i === '/a/i')\n\n      case '[object String]':\n        // Primitives and their corresponding object wrappers are equivalent; thus, `\"5\"` is\n        // equivalent to `new String(\"5\")`.\n        return '' + a === '' + b;\n\n      case '[object Number]':\n        // `NaN`s are equivalent, but non-reflexive.\n        // Object(NaN) is equivalent to NaN.\n        if (+a !== +a) return +b !== +b; // An `egal` comparison is performed for other numeric values.\n\n        return +a === 0 ? 1 / +a === 1 / b : +a === +b;\n\n      case '[object Date]':\n      case '[object Boolean]':\n        // Coerce dates and booleans to numeric primitive values. Dates are compared by their\n        // millisecond representations. Note that invalid dates with millisecond representations\n        // of `NaN` are not equivalent.\n        return +a === +b;\n\n      case '[object Symbol]':\n        return SymbolProto.valueOf.call(a) === SymbolProto.valueOf.call(b);\n    }\n\n    var areArrays = className === '[object Array]';\n\n    if (!areArrays) {\n      if (typeof a != 'object' || typeof b != 'object') return false; // Objects with different constructors are not equivalent, but `Object`s or `Array`s\n      // from different frames are.\n\n      var aCtor = a.constructor,\n          bCtor = b.constructor;\n\n      if (aCtor !== bCtor && !(_.isFunction(aCtor) && aCtor instanceof aCtor && _.isFunction(bCtor) && bCtor instanceof bCtor) && 'constructor' in a && 'constructor' in b) {\n        return false;\n      }\n    } // Assume equality for cyclic structures. The algorithm for detecting cyclic\n    // structures is adapted from ES 5.1 section 15.12.3, abstract operation `JO`.\n    // Initializing stack of traversed objects.\n    // It's done here since we only need them for objects and arrays comparison.\n\n\n    aStack = aStack || [];\n    bStack = bStack || [];\n    var length = aStack.length;\n\n    while (length--) {\n      // Linear search. Performance is inversely proportional to the number of\n      // unique nested structures.\n      if (aStack[length] === a) return bStack[length] === b;\n    } // Add the first object to the stack of traversed objects.\n\n\n    aStack.push(a);\n    bStack.push(b); // Recursively compare objects and arrays.\n\n    if (areArrays) {\n      // Compare array lengths to determine if a deep comparison is necessary.\n      length = a.length;\n      if (length !== b.length) return false; // Deep compare the contents, ignoring non-numeric properties.\n\n      while (length--) {\n        if (!eq(a[length], b[length], aStack, bStack)) return false;\n      }\n    } else {\n      // Deep compare objects.\n      var keys = _.keys(a),\n          key;\n\n      length = keys.length; // Ensure that both objects contain the same number of properties before comparing deep equality.\n\n      if (_.keys(b).length !== length) return false;\n\n      while (length--) {\n        // Deep compare each member\n        key = keys[length];\n        if (!(has(b, key) && eq(a[key], b[key], aStack, bStack))) return false;\n      }\n    } // Remove the first object from the stack of traversed objects.\n\n\n    aStack.pop();\n    bStack.pop();\n    return true;\n  }; // Perform a deep comparison to check if two objects are equal.\n\n\n  _.isEqual = function (a, b) {\n    return eq(a, b);\n  }; // Is a given array, string, or object empty?\n  // An \"empty\" object has no enumerable own-properties.\n\n\n  _.isEmpty = function (obj) {\n    if (obj == null) return true;\n    if (isArrayLike(obj) && (_.isArray(obj) || _.isString(obj) || _.isArguments(obj))) return obj.length === 0;\n    return _.keys(obj).length === 0;\n  }; // Is a given value a DOM element?\n\n\n  _.isElement = function (obj) {\n    return !!(obj && obj.nodeType === 1);\n  }; // Is a given value an array?\n  // Delegates to ECMA5's native Array.isArray\n\n\n  _.isArray = nativeIsArray || function (obj) {\n    return toString.call(obj) === '[object Array]';\n  }; // Is a given variable an object?\n\n\n  _.isObject = function (obj) {\n    var type = typeof obj;\n    return type === 'function' || type === 'object' && !!obj;\n  }; // Add some isType methods: isArguments, isFunction, isString, isNumber, isDate, isRegExp, isError, isMap, isWeakMap, isSet, isWeakSet.\n\n\n  _.each(['Arguments', 'Function', 'String', 'Number', 'Date', 'RegExp', 'Error', 'Symbol', 'Map', 'WeakMap', 'Set', 'WeakSet'], function (name) {\n    _['is' + name] = function (obj) {\n      return toString.call(obj) === '[object ' + name + ']';\n    };\n  }); // Define a fallback version of the method in browsers (ahem, IE < 9), where\n  // there isn't any inspectable \"Arguments\" type.\n\n\n  if (!_.isArguments(arguments)) {\n    _.isArguments = function (obj) {\n      return has(obj, 'callee');\n    };\n  } // Optimize `isFunction` if appropriate. Work around some typeof bugs in old v8,\n  // IE 11 (#1621), Safari 8 (#1929), and PhantomJS (#2236).\n\n\n  var nodelist = root.document && root.document.childNodes;\n\n  if (typeof /./ != 'function' && typeof Int8Array != 'object' && typeof nodelist != 'function') {\n    _.isFunction = function (obj) {\n      return typeof obj == 'function' || false;\n    };\n  } // Is a given object a finite number?\n\n\n  _.isFinite = function (obj) {\n    return !_.isSymbol(obj) && isFinite(obj) && !isNaN(parseFloat(obj));\n  }; // Is the given value `NaN`?\n\n\n  _.isNaN = function (obj) {\n    return _.isNumber(obj) && isNaN(obj);\n  }; // Is a given value a boolean?\n\n\n  _.isBoolean = function (obj) {\n    return obj === true || obj === false || toString.call(obj) === '[object Boolean]';\n  }; // Is a given value equal to null?\n\n\n  _.isNull = function (obj) {\n    return obj === null;\n  }; // Is a given variable undefined?\n\n\n  _.isUndefined = function (obj) {\n    return obj === void 0;\n  }; // Shortcut function for checking if an object has a given property directly\n  // on itself (in other words, not on a prototype).\n\n\n  _.has = function (obj, path) {\n    if (!_.isArray(path)) {\n      return has(obj, path);\n    }\n\n    var length = path.length;\n\n    for (var i = 0; i < length; i++) {\n      var key = path[i];\n\n      if (obj == null || !hasOwnProperty.call(obj, key)) {\n        return false;\n      }\n\n      obj = obj[key];\n    }\n\n    return !!length;\n  }; // Utility Functions\n  // -----------------\n  // Run Underscore.js in *noConflict* mode, returning the `_` variable to its\n  // previous owner. Returns a reference to the Underscore object.\n\n\n  _.noConflict = function () {\n    root._ = previousUnderscore;\n    return this;\n  }; // Keep the identity function around for default iteratees.\n\n\n  _.identity = function (value) {\n    return value;\n  }; // Predicate-generating functions. Often useful outside of Underscore.\n\n\n  _.constant = function (value) {\n    return function () {\n      return value;\n    };\n  };\n\n  _.noop = function () {}; // Creates a function that, when passed an object, will traverse that object’s\n  // properties down the given `path`, specified as an array of keys or indexes.\n\n\n  _.property = function (path) {\n    if (!_.isArray(path)) {\n      return shallowProperty(path);\n    }\n\n    return function (obj) {\n      return deepGet(obj, path);\n    };\n  }; // Generates a function for a given object that returns a given property.\n\n\n  _.propertyOf = function (obj) {\n    if (obj == null) {\n      return function () {};\n    }\n\n    return function (path) {\n      return !_.isArray(path) ? obj[path] : deepGet(obj, path);\n    };\n  }; // Returns a predicate for checking whether an object has a given set of\n  // `key:value` pairs.\n\n\n  _.matcher = _.matches = function (attrs) {\n    attrs = _.extendOwn({}, attrs);\n    return function (obj) {\n      return _.isMatch(obj, attrs);\n    };\n  }; // Run a function **n** times.\n\n\n  _.times = function (n, iteratee, context) {\n    var accum = Array(Math.max(0, n));\n    iteratee = optimizeCb(iteratee, context, 1);\n\n    for (var i = 0; i < n; i++) {\n      accum[i] = iteratee(i);\n    }\n\n    return accum;\n  }; // Return a random integer between min and max (inclusive).\n\n\n  _.random = function (min, max) {\n    if (max == null) {\n      max = min;\n      min = 0;\n    }\n\n    return min + Math.floor(Math.random() * (max - min + 1));\n  }; // A (possibly faster) way to get the current timestamp as an integer.\n\n\n  _.now = Date.now || function () {\n    return new Date().getTime();\n  }; // List of HTML entities for escaping.\n\n\n  var escapeMap = {\n    '&': '&amp;',\n    '<': '&lt;',\n    '>': '&gt;',\n    '\"': '&quot;',\n    \"'\": '&#x27;',\n    '`': '&#x60;'\n  };\n\n  var unescapeMap = _.invert(escapeMap); // Functions for escaping and unescaping strings to/from HTML interpolation.\n\n\n  var createEscaper = function createEscaper(map) {\n    var escaper = function escaper(match) {\n      return map[match];\n    }; // Regexes for identifying a key that needs to be escaped.\n\n\n    var source = '(?:' + _.keys(map).join('|') + ')';\n    var testRegexp = RegExp(source);\n    var replaceRegexp = RegExp(source, 'g');\n    return function (string) {\n      string = string == null ? '' : '' + string;\n      return testRegexp.test(string) ? string.replace(replaceRegexp, escaper) : string;\n    };\n  };\n\n  _.escape = createEscaper(escapeMap);\n  _.unescape = createEscaper(unescapeMap); // Traverses the children of `obj` along `path`. If a child is a function, it\n  // is invoked with its parent as context. Returns the value of the final\n  // child, or `fallback` if any child is undefined.\n\n  _.result = function (obj, path, fallback) {\n    if (!_.isArray(path)) path = [path];\n    var length = path.length;\n\n    if (!length) {\n      return _.isFunction(fallback) ? fallback.call(obj) : fallback;\n    }\n\n    for (var i = 0; i < length; i++) {\n      var prop = obj == null ? void 0 : obj[path[i]];\n\n      if (prop === void 0) {\n        prop = fallback;\n        i = length; // Ensure we don't continue iterating.\n      }\n\n      obj = _.isFunction(prop) ? prop.call(obj) : prop;\n    }\n\n    return obj;\n  }; // Generate a unique integer id (unique within the entire client session).\n  // Useful for temporary DOM ids.\n\n\n  var idCounter = 0;\n\n  _.uniqueId = function (prefix) {\n    var id = ++idCounter + '';\n    return prefix ? prefix + id : id;\n  }; // By default, Underscore uses ERB-style template delimiters, change the\n  // following template settings to use alternative delimiters.\n\n\n  _.templateSettings = {\n    evaluate: /<%([\\s\\S]+?)%>/g,\n    interpolate: /<%=([\\s\\S]+?)%>/g,\n    escape: /<%-([\\s\\S]+?)%>/g\n  }; // When customizing `templateSettings`, if you don't want to define an\n  // interpolation, evaluation or escaping regex, we need one that is\n  // guaranteed not to match.\n\n  var noMatch = /(.)^/; // Certain characters need to be escaped so that they can be put into a\n  // string literal.\n\n  var escapes = {\n    \"'\": \"'\",\n    '\\\\': '\\\\',\n    '\\r': 'r',\n    '\\n': 'n',\n    \"\\u2028\": 'u2028',\n    \"\\u2029\": 'u2029'\n  };\n  var escapeRegExp = /\\\\|'|\\r|\\n|\\u2028|\\u2029/g;\n\n  var escapeChar = function escapeChar(match) {\n    return '\\\\' + escapes[match];\n  }; // JavaScript micro-templating, similar to John Resig's implementation.\n  // Underscore templating handles arbitrary delimiters, preserves whitespace,\n  // and correctly escapes quotes within interpolated code.\n  // NB: `oldSettings` only exists for backwards compatibility.\n\n\n  _.template = function (text, settings, oldSettings) {\n    if (!settings && oldSettings) settings = oldSettings;\n    settings = _.defaults({}, settings, _.templateSettings); // Combine delimiters into one regular expression via alternation.\n\n    var matcher = RegExp([(settings.escape || noMatch).source, (settings.interpolate || noMatch).source, (settings.evaluate || noMatch).source].join('|') + '|$', 'g'); // Compile the template source, escaping string literals appropriately.\n\n    var index = 0;\n    var source = \"__p+='\";\n    text.replace(matcher, function (match, escape, interpolate, evaluate, offset) {\n      source += text.slice(index, offset).replace(escapeRegExp, escapeChar);\n      index = offset + match.length;\n\n      if (escape) {\n        source += \"'+\\n((__t=(\" + escape + \"))==null?'':_.escape(__t))+\\n'\";\n      } else if (interpolate) {\n        source += \"'+\\n((__t=(\" + interpolate + \"))==null?'':__t)+\\n'\";\n      } else if (evaluate) {\n        source += \"';\\n\" + evaluate + \"\\n__p+='\";\n      } // Adobe VMs need the match returned to produce the correct offset.\n\n\n      return match;\n    });\n    source += \"';\\n\"; // If a variable is not specified, place data values in local scope.\n\n    if (!settings.variable) source = 'with(obj||{}){\\n' + source + '}\\n';\n    source = \"var __t,__p='',__j=Array.prototype.join,\" + \"print=function(){__p+=__j.call(arguments,'');};\\n\" + source + 'return __p;\\n';\n    var render;\n\n    try {\n      render = new Function(settings.variable || 'obj', '_', source);\n    } catch (e) {\n      e.source = source;\n      throw e;\n    }\n\n    var template = function template(data) {\n      return render.call(this, data, _);\n    }; // Provide the compiled source as a convenience for precompilation.\n\n\n    var argument = settings.variable || 'obj';\n    template.source = 'function(' + argument + '){\\n' + source + '}';\n    return template;\n  }; // Add a \"chain\" function. Start chaining a wrapped Underscore object.\n\n\n  _.chain = function (obj) {\n    var instance = _(obj);\n\n    instance._chain = true;\n    return instance;\n  }; // OOP\n  // ---------------\n  // If Underscore is called as a function, it returns a wrapped object that\n  // can be used OO-style. This wrapper holds altered versions of all the\n  // underscore functions. Wrapped objects may be chained.\n  // Helper function to continue chaining intermediate results.\n\n\n  var chainResult = function chainResult(instance, obj) {\n    return instance._chain ? _(obj).chain() : obj;\n  }; // Add your own custom functions to the Underscore object.\n\n\n  _.mixin = function (obj) {\n    _.each(_.functions(obj), function (name) {\n      var func = _[name] = obj[name];\n\n      _.prototype[name] = function () {\n        var args = [this._wrapped];\n        push.apply(args, arguments);\n        return chainResult(this, func.apply(_, args));\n      };\n    });\n\n    return _;\n  }; // Add all of the Underscore functions to the wrapper object.\n\n\n  _.mixin(_); // Add all mutator Array functions to the wrapper.\n\n\n  _.each(['pop', 'push', 'reverse', 'shift', 'sort', 'splice', 'unshift'], function (name) {\n    var method = ArrayProto[name];\n\n    _.prototype[name] = function () {\n      var obj = this._wrapped;\n      method.apply(obj, arguments);\n      if ((name === 'shift' || name === 'splice') && obj.length === 0) delete obj[0];\n      return chainResult(this, obj);\n    };\n  }); // Add all accessor Array functions to the wrapper.\n\n\n  _.each(['concat', 'join', 'slice'], function (name) {\n    var method = ArrayProto[name];\n\n    _.prototype[name] = function () {\n      return chainResult(this, method.apply(this._wrapped, arguments));\n    };\n  }); // Extracts the result from a wrapped and chained object.\n\n\n  _.prototype.value = function () {\n    return this._wrapped;\n  }; // Provide unwrapping proxy for some methods used in engine operations\n  // such as arithmetic and JSON stringification.\n\n\n  _.prototype.valueOf = _.prototype.toJSON = _.prototype.value;\n\n  _.prototype.toString = function () {\n    return String(this._wrapped);\n  }; // AMD registration happens at the end for compatibility with AMD loaders\n  // that may not enforce next-turn semantics on modules. Even though general\n  // practice for AMD registration is to be anonymous, underscore registers\n  // as a named module because, like jQuery, it is a base library that is\n  // popular enough to be bundled in a third party lib, but not be part of\n  // an AMD load request. Those cases could generate an error when an\n  // anonymous define() is called outside of a loader request.\n\n\n  if (typeof define == 'function' && define.amd) {\n    define('underscore', [], function () {\n      return _;\n    });\n  }\n})();","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\n// Not exported from index\n\n/** @private */\nvar TextMessageFormat =\n/** @class */\nfunction () {\n  function TextMessageFormat() {}\n\n  TextMessageFormat.write = function (output) {\n    return \"\" + output + TextMessageFormat.RecordSeparator;\n  };\n\n  TextMessageFormat.parse = function (input) {\n    if (input[input.length - 1] !== TextMessageFormat.RecordSeparator) {\n      throw new Error(\"Message is incomplete.\");\n    }\n\n    var messages = input.split(TextMessageFormat.RecordSeparator);\n    messages.pop();\n    return messages;\n  };\n\n  TextMessageFormat.RecordSeparatorCode = 0x1e;\n  TextMessageFormat.RecordSeparator = String.fromCharCode(TextMessageFormat.RecordSeparatorCode);\n  return TextMessageFormat;\n}();\n\nexport { TextMessageFormat };","var g; // This works in non-strict mode\n\ng = function () {\n  return this;\n}();\n\ntry {\n  // This works if eval is allowed (see CSP)\n  g = g || Function(\"return this\")() || (1, eval)(\"this\");\n} catch (e) {\n  // This works if the window reference is available\n  if (typeof window === \"object\") g = window;\n} // g can still be undefined, but nothing to do about it...\n// We return undefined, instead of nothing here, so it's\n// easier to handle this case. if(!global) { ...}\n\n\nmodule.exports = g;","'use strict';\n/**\n * Compares two BigNumbers.\n * @param {BigNumber} x       First value to compare\n * @param {BigNumber} y       Second value to compare\n * @param {number} [epsilon]  The maximum relative difference between x and y\n *                            If epsilon is undefined or null, the function will\n *                            test whether x and y are exactly equal.\n * @return {boolean} whether the two numbers are nearly equal\n */\n\nmodule.exports = function nearlyEqual(x, y, epsilon) {\n  // if epsilon is null or undefined, test whether x and y are exactly equal\n  if (epsilon === null || epsilon === undefined) {\n    return x.eq(y);\n  } // use \"==\" operator, handles infinities\n\n\n  if (x.eq(y)) {\n    return true;\n  } // NaN\n\n\n  if (x.isNaN() || y.isNaN()) {\n    return false;\n  } // at this point x and y should be finite\n\n\n  if (x.isFinite() && y.isFinite()) {\n    // check numbers are very close, needed when comparing numbers near zero\n    var diff = x.minus(y).abs();\n\n    if (diff.isZero()) {\n      return true;\n    } else {\n      // use relative error\n      var max = x.constructor.max(x.abs(), y.abs());\n      return diff.lte(max.times(epsilon));\n    }\n  } // Infinite and Number or negative Infinite and positive Infinite cases\n\n\n  return false;\n};","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var DenseMatrix = type.DenseMatrix;\n  /**\n   * Iterates over SparseMatrix S nonzero items and invokes the callback function f(Sij, b).\n   * Callback function invoked NZ times (number of nonzero items in S).\n   *\n   *\n   *          ┌  f(Sij, b)  ; S(i,j) !== 0\n   * C(i,j) = ┤\n   *          └  b          ; otherwise\n   *\n   *\n   * @param {Matrix}   s                 The SparseMatrix instance (S)\n   * @param {Scalar}   b                 The Scalar value\n   * @param {Function} callback          The f(Aij,b) operation to invoke\n   * @param {boolean}  inverse           A true value indicates callback should be invoked f(b,Sij)\n   *\n   * @return {Matrix}                    DenseMatrix (C)\n   *\n   * https://github.com/josdejong/mathjs/pull/346#issuecomment-97626813\n   */\n\n  var algorithm10 = function algorithm10(s, b, callback, inverse) {\n    // sparse matrix arrays\n    var avalues = s._values;\n    var aindex = s._index;\n    var aptr = s._ptr;\n    var asize = s._size;\n    var adt = s._datatype; // sparse matrix cannot be a Pattern matrix\n\n    if (!avalues) {\n      throw new Error('Cannot perform operation on Pattern Sparse Matrix and Scalar value');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string') {\n      // datatype\n      dt = adt; // convert b to the same datatype\n\n      b = typed.convert(b, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // result arrays\n\n\n    var cdata = []; // matrix\n\n    var c = new DenseMatrix({\n      data: cdata,\n      size: [rows, columns],\n      datatype: dt\n    }); // workspaces\n\n    var x = []; // marks indicating we have a value in x for a given column\n\n    var w = []; // loop columns\n\n    for (var j = 0; j < columns; j++) {\n      // columns mark\n      var mark = j + 1; // values in j\n\n      for (var k0 = aptr[j], k1 = aptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        var r = aindex[k]; // update workspace\n\n        x[r] = avalues[k];\n        w[r] = mark;\n      } // loop rows\n\n\n      for (var i = 0; i < rows; i++) {\n        // initialize C on first column\n        if (j === 0) {\n          // create row array\n          cdata[i] = [];\n        } // check sparse matrix has a value @ i,j\n\n\n        if (w[i] === mark) {\n          // invoke callback, update C\n          cdata[i][j] = inverse ? cf(b, x[i]) : cf(x[i], b);\n        } else {\n          // dense matrix value @ i, j\n          cdata[i][j] = b;\n        }\n      }\n    } // return sparse matrix\n\n\n    return c;\n  };\n\n  return algorithm10;\n}\n\nexports.name = 'algorithm10';\nexports.factory = factory;","'use strict';\n\nvar nearlyEqual = require('../../utils/number').nearlyEqual;\n\nvar bigNearlyEqual = require('../../utils/bignumber/nearlyEqual');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm07 = load(require('../../type/matrix/utils/algorithm07'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n\n  var latex = require('../../utils/latex');\n  /**\n   * Test whether value x is smaller than y.\n   *\n   * The function returns true when x is smaller than y and the relative\n   * difference between x and y is smaller than the configured epsilon. The\n   * function cannot be used to compare values smaller than approximately 2.22e-16.\n   *\n   * For matrices, the function is evaluated element wise.\n   * Strings are compared by their numerical value.\n   *\n   * Syntax:\n   *\n   *    math.smaller(x, y)\n   *\n   * Examples:\n   *\n   *    math.smaller(2, 3)            // returns true\n   *    math.smaller(5, 2 * 2)        // returns false\n   *\n   *    const a = math.unit('5 cm')\n   *    const b = math.unit('2 inch')\n   *    math.smaller(a, b)            // returns true\n   *\n   * See also:\n   *\n   *    equal, unequal, smallerEq, smaller, smallerEq, compare\n   *\n   * @param  {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} x First value to compare\n   * @param  {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} y Second value to compare\n   * @return {boolean | Array | Matrix} Returns true when the x is smaller than y, else returns false\n   */\n\n\n  var smaller = typed('smaller', {\n    'boolean, boolean': function booleanBoolean(x, y) {\n      return x < y;\n    },\n    'number, number': function numberNumber(x, y) {\n      return x < y && !nearlyEqual(x, y, config.epsilon);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return x.lt(y) && !bigNearlyEqual(x, y, config.epsilon);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.compare(y) === -1;\n    },\n    'Complex, Complex': function ComplexComplex(x, y) {\n      throw new TypeError('No ordering relation is defined for complex numbers');\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      if (!x.equalBase(y)) {\n        throw new Error('Cannot compare units with different base');\n      }\n\n      return smaller(x.value, y.value);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm07(x, y, smaller);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, smaller, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, smaller, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, smaller);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return smaller(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return smaller(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return smaller(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm12(x, y, smaller, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, smaller, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, smaller, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, smaller, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, smaller, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, smaller, true).valueOf();\n    }\n  });\n  smaller.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['smaller'], \"${args[1]}\\\\right)\")\n  };\n  return smaller;\n}\n\nexports.name = 'smaller';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar size = require('../../utils/array').size;\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var identity = load(require('../matrix/identity'));\n  var multiply = load(require('./multiply'));\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var fraction = load(require('../../type/fraction/function/fraction'));\n  var number = load(require('../../type/number'));\n  /**\n   * Calculates the power of x to y, `x ^ y`.\n   * Matrix exponentiation is supported for square matrices `x`, and positive\n   * integer exponents `y`.\n   *\n   * For cubic roots of negative numbers, the function returns the principal\n   * root by default. In order to let the function return the real root,\n   * math.js can be configured with `math.config({predictable: true})`.\n   * To retrieve all cubic roots of a value, use `math.cbrt(x, true)`.\n   *\n   * Syntax:\n   *\n   *    math.pow(x, y)\n   *\n   * Examples:\n   *\n   *    math.pow(2, 3)               // returns number 8\n   *\n   *    const a = math.complex(2, 3)\n   *    math.pow(a, 2)                // returns Complex -5 + 12i\n   *\n   *    const b = [[1, 2], [4, 3]]\n   *    math.pow(b, 2)               // returns Array [[9, 8], [16, 17]]\n   *\n   * See also:\n   *\n   *    multiply, sqrt, cbrt, nthRoot\n   *\n   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} x  The base\n   * @param  {number | BigNumber | Complex} y                          The exponent\n   * @return {number | BigNumber | Complex | Array | Matrix} The value of `x` to the power `y`\n   */\n\n  var pow = typed('pow', {\n    'number, number': _pow,\n    'Complex, Complex': function ComplexComplex(x, y) {\n      return x.pow(y);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      if (y.isInteger() || x >= 0 || config.predictable) {\n        return x.pow(y);\n      } else {\n        return new type.Complex(x.toNumber(), 0).pow(y.toNumber(), 0);\n      }\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      if (y.d !== 1) {\n        if (config.predictable) {\n          throw new Error('Function pow does not support non-integer exponents for fractions.');\n        } else {\n          return _pow(x.valueOf(), y.valueOf());\n        }\n      } else {\n        return x.pow(y);\n      }\n    },\n    'Array, number': _powArray,\n    'Array, BigNumber': function ArrayBigNumber(x, y) {\n      return _powArray(x, y.toNumber());\n    },\n    'Matrix, number': _powMatrix,\n    'Matrix, BigNumber': function MatrixBigNumber(x, y) {\n      return _powMatrix(x, y.toNumber());\n    },\n    'Unit, number | BigNumber': function UnitNumberBigNumber(x, y) {\n      return x.pow(y);\n    }\n  });\n  /**\n   * Calculates the power of x to y, x^y, for two numbers.\n   * @param {number} x\n   * @param {number} y\n   * @return {number | Complex} res\n   * @private\n   */\n\n  function _pow(x, y) {\n    // Alternatively could define a 'realmode' config option or something, but\n    // 'predictable' will work for now\n    if (config.predictable && !isInteger(y) && x < 0) {\n      // Check to see if y can be represented as a fraction\n      try {\n        var yFrac = fraction(y);\n        var yNum = number(yFrac);\n\n        if (y === yNum || Math.abs((y - yNum) / y) < 1e-14) {\n          if (yFrac.d % 2 === 1) {\n            return (yFrac.n % 2 === 0 ? 1 : -1) * Math.pow(-x, y);\n          }\n        }\n      } catch (ex) {} // fraction() throws an error if y is Infinity, etc.\n      // Unable to express y as a fraction, so continue on\n\n    } // x^Infinity === 0 if -1 < x < 1\n    // A real number 0 is returned instead of complex(0)\n\n\n    if (x * x < 1 && y === Infinity || x * x > 1 && y === -Infinity) {\n      return 0;\n    } // **for predictable mode** x^Infinity === NaN if x < -1\n    // N.B. this behavour is different from `Math.pow` which gives\n    // (-2)^Infinity === Infinity\n\n\n    if (config.predictable && (x < -1 && y === Infinity || x > -1 && x < 0 && y === -Infinity)) {\n      return NaN;\n    }\n\n    if (isInteger(y) || x >= 0 || config.predictable) {\n      return Math.pow(x, y);\n    } else {\n      return new type.Complex(x, 0).pow(y, 0);\n    }\n  }\n  /**\n   * Calculate the power of a 2d array\n   * @param {Array} x     must be a 2 dimensional, square matrix\n   * @param {number} y    a positive, integer value\n   * @returns {Array}\n   * @private\n   */\n\n\n  function _powArray(x, y) {\n    if (!isInteger(y) || y < 0) {\n      throw new TypeError('For A^b, b must be a positive integer (value is ' + y + ')');\n    } // verify that A is a 2 dimensional square matrix\n\n\n    var s = size(x);\n\n    if (s.length !== 2) {\n      throw new Error('For A^b, A must be 2 dimensional (A has ' + s.length + ' dimensions)');\n    }\n\n    if (s[0] !== s[1]) {\n      throw new Error('For A^b, A must be square (size is ' + s[0] + 'x' + s[1] + ')');\n    }\n\n    var res = identity(s[0]).valueOf();\n    var px = x;\n\n    while (y >= 1) {\n      if ((y & 1) === 1) {\n        res = multiply(px, res);\n      }\n\n      y >>= 1;\n      px = multiply(px, px);\n    }\n\n    return res;\n  }\n  /**\n   * Calculate the power of a 2d matrix\n   * @param {Matrix} x     must be a 2 dimensional, square matrix\n   * @param {number} y    a positive, integer value\n   * @returns {Matrix}\n   * @private\n   */\n\n\n  function _powMatrix(x, y) {\n    return matrix(_powArray(x.valueOf(), y));\n  }\n\n  pow.toTex = {\n    2: \"\\\\left(${args[0]}\\\\right)\".concat(latex.operators['pow'], \"{${args[1]}}\")\n  };\n  return pow;\n}\n\nexports.name = 'pow';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar resize = require('../../utils/array').resize;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Create a matrix filled with zeros. The created matrix can have one or\n   * multiple dimensions.\n   *\n   * Syntax:\n   *\n   *    math.zeros(m)\n   *    math.zeros(m, format)\n   *    math.zeros(m, n)\n   *    math.zeros(m, n, format)\n   *    math.zeros([m, n])\n   *    math.zeros([m, n], format)\n   *\n   * Examples:\n   *\n   *    math.zeros(3)                  // returns [0, 0, 0]\n   *    math.zeros(3, 2)               // returns [[0, 0], [0, 0], [0, 0]]\n   *    math.zeros(3, 'dense')         // returns [0, 0, 0]\n   *\n   *    const A = [[1, 2, 3], [4, 5, 6]]\n   *    math.zeros(math.size(A))       // returns [[0, 0, 0], [0, 0, 0]]\n   *\n   * See also:\n   *\n   *    ones, identity, size, range\n   *\n   * @param {...number | Array} size    The size of each dimension of the matrix\n   * @param {string} [format]           The Matrix storage format\n   *\n   * @return {Array | Matrix}           A matrix filled with zeros\n   */\n\n  var zeros = typed('zeros', {\n    '': function _() {\n      return config.matrix === 'Array' ? _zeros([]) : _zeros([], 'default');\n    },\n    // math.zeros(m, n, p, ..., format)\n    // TODO: more accurate signature '...number | BigNumber, string' as soon as typed-function supports this\n    '...number | BigNumber | string': function numberBigNumberString(size) {\n      var last = size[size.length - 1];\n\n      if (typeof last === 'string') {\n        var format = size.pop();\n        return _zeros(size, format);\n      } else if (config.matrix === 'Array') {\n        return _zeros(size);\n      } else {\n        return _zeros(size, 'default');\n      }\n    },\n    'Array': _zeros,\n    'Matrix': function Matrix(size) {\n      var format = size.storage();\n      return _zeros(size.valueOf(), format);\n    },\n    'Array | Matrix, string': function ArrayMatrixString(size, format) {\n      return _zeros(size.valueOf(), format);\n    }\n  });\n  zeros.toTex = undefined; // use default template\n\n  return zeros;\n  /**\n   * Create an Array or Matrix with zeros\n   * @param {Array} size\n   * @param {string} [format='default']\n   * @return {Array | Matrix}\n   * @private\n   */\n\n  function _zeros(size, format) {\n    var hasBigNumbers = _normalize(size);\n\n    var defaultValue = hasBigNumbers ? new type.BigNumber(0) : 0;\n\n    _validate(size);\n\n    if (format) {\n      // return a matrix\n      var m = matrix(format);\n\n      if (size.length > 0) {\n        return m.resize(size, defaultValue);\n      }\n\n      return m;\n    } else {\n      // return an Array\n      var arr = [];\n\n      if (size.length > 0) {\n        return resize(arr, size, defaultValue);\n      }\n\n      return arr;\n    }\n  } // replace BigNumbers with numbers, returns true if size contained BigNumbers\n\n\n  function _normalize(size) {\n    var hasBigNumbers = false;\n    size.forEach(function (value, index, arr) {\n      if (type.isBigNumber(value)) {\n        hasBigNumbers = true;\n        arr[index] = value.toNumber();\n      }\n    });\n    return hasBigNumbers;\n  } // validate arguments\n\n\n  function _validate(size) {\n    size.forEach(function (value) {\n      if (typeof value !== 'number' || !isInteger(value) || value < 0) {\n        throw new Error('Parameters in function zeros must be positive integers');\n      }\n    });\n  }\n} // TODO: zeros contains almost the same code as ones. Reuse this?\n\n\nexports.name = 'zeros';\nexports.factory = factory;","'use strict';\n\nfunction _extends() {\n  _extends = Object.assign || function (target) {\n    for (var i = 1; i < arguments.length; i++) {\n      var source = arguments[i];\n\n      for (var key in source) {\n        if (Object.prototype.hasOwnProperty.call(source, key)) {\n          target[key] = source[key];\n        }\n      }\n    }\n\n    return target;\n  };\n\n  return _extends.apply(this, arguments);\n}\n\nvar ArgumentsError = require('../error/ArgumentsError');\n\nvar deepMap = require('../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var numeric = load(require('../type/numeric'));\n  var AccessorNode = load(require('./node/AccessorNode'));\n  var ArrayNode = load(require('./node/ArrayNode'));\n  var AssignmentNode = load(require('./node/AssignmentNode'));\n  var BlockNode = load(require('./node/BlockNode'));\n  var ConditionalNode = load(require('./node/ConditionalNode'));\n  var ConstantNode = load(require('./node/ConstantNode'));\n  var FunctionAssignmentNode = load(require('./node/FunctionAssignmentNode'));\n  var IndexNode = load(require('./node/IndexNode'));\n  var ObjectNode = load(require('./node/ObjectNode'));\n  var OperatorNode = load(require('./node/OperatorNode'));\n  var ParenthesisNode = load(require('./node/ParenthesisNode'));\n  var FunctionNode = load(require('./node/FunctionNode'));\n  var RangeNode = load(require('./node/RangeNode'));\n  var RelationalNode = load(require('./node/RelationalNode'));\n  var SymbolNode = load(require('./node/SymbolNode'));\n  /**\n   * Parse an expression. Returns a node tree, which can be evaluated by\n   * invoking node.eval().\n   *\n   * Syntax:\n   *\n   *     parse(expr)\n   *     parse(expr, options)\n   *     parse([expr1, expr2, expr3, ...])\n   *     parse([expr1, expr2, expr3, ...], options)\n   *\n   * Example:\n   *\n   *     const node = parse('sqrt(3^2 + 4^2)')\n   *     node.compile(math).eval() // 5\n   *\n   *     let scope = {a:3, b:4}\n   *     const node = parse('a * b') // 12\n   *     const code = node.compile(math)\n   *     code.eval(scope) // 12\n   *     scope.a = 5\n   *     code.eval(scope) // 20\n   *\n   *     const nodes = math.parse(['a = 3', 'b = 4', 'a * b'])\n   *     nodes[2].compile(math).eval() // 12\n   *\n   * @param {string | string[] | Matrix} expr\n   * @param {{nodes: Object<string, Node>}} [options]  Available options:\n   *                                                   - `nodes` a set of custom nodes\n   * @return {Node | Node[]} node\n   * @throws {Error}\n   */\n\n  function parse(expr, options) {\n    if (arguments.length !== 1 && arguments.length !== 2) {\n      throw new ArgumentsError('parse', arguments.length, 1, 2);\n    } // pass extra nodes\n\n\n    var extraNodes = options && options.nodes ? options.nodes : {};\n\n    if (typeof expr === 'string') {\n      // parse a single expression\n      return parseStart(expr, extraNodes);\n    } else if (Array.isArray(expr) || expr instanceof type.Matrix) {\n      // parse an array or matrix with expressions\n      return deepMap(expr, function (elem) {\n        if (typeof elem !== 'string') throw new TypeError('String expected');\n        return parseStart(elem, extraNodes);\n      });\n    } else {\n      // oops\n      throw new TypeError('String or matrix expected');\n    }\n  } // token types enumeration\n\n\n  var TOKENTYPE = {\n    NULL: 0,\n    DELIMITER: 1,\n    NUMBER: 2,\n    SYMBOL: 3,\n    UNKNOWN: 4 // map with all delimiters\n\n  };\n  var DELIMITERS = {\n    ',': true,\n    '(': true,\n    ')': true,\n    '[': true,\n    ']': true,\n    '{': true,\n    '}': true,\n    '\"': true,\n    '\\'': true,\n    ';': true,\n    '+': true,\n    '-': true,\n    '*': true,\n    '.*': true,\n    '/': true,\n    './': true,\n    '%': true,\n    '^': true,\n    '.^': true,\n    '~': true,\n    '!': true,\n    '&': true,\n    '|': true,\n    '^|': true,\n    '=': true,\n    ':': true,\n    '?': true,\n    '==': true,\n    '!=': true,\n    '<': true,\n    '>': true,\n    '<=': true,\n    '>=': true,\n    '<<': true,\n    '>>': true,\n    '>>>': true // map with all named delimiters\n\n  };\n  var NAMED_DELIMITERS = {\n    'mod': true,\n    'to': true,\n    'in': true,\n    'and': true,\n    'xor': true,\n    'or': true,\n    'not': true\n  };\n  var CONSTANTS = {\n    'true': true,\n    'false': false,\n    'null': null,\n    'undefined': undefined\n  };\n  var NUMERIC_CONSTANTS = ['NaN', 'Infinity'];\n\n  function initialState() {\n    return {\n      extraNodes: {},\n      // current extra nodes, must be careful not to mutate\n      expression: '',\n      // current expression\n      comment: '',\n      // last parsed comment\n      index: 0,\n      // current index in expr\n      token: '',\n      // current token\n      tokenType: TOKENTYPE.NULL,\n      // type of the token\n      nestingLevel: 0,\n      // level of nesting inside parameters, used to ignore newline characters\n      conditionalLevel: null // when a conditional is being parsed, the level of the conditional is stored here\n\n    };\n  }\n  /**\n   * View upto `length` characters of the expression starting at the current character.\n   *\n   * @param {State} state\n   * @param {number} [length=1] Number of characters to view\n   * @returns {string}\n   * @private\n   */\n\n\n  function currentString(state, length) {\n    return state.expression.substr(state.index, length);\n  }\n  /**\n   * View the current character. Returns '' if end of expression is reached.\n   *\n   * @param {State} state\n   * @returns {string}\n   * @private\n   */\n\n\n  function currentCharacter(state) {\n    return currentString(state, 1);\n  }\n  /**\n   * Get the next character from the expression.\n   * The character is stored into the char c. If the end of the expression is\n   * reached, the function puts an empty string in c.\n   * @private\n   */\n\n\n  function next(state) {\n    state.index++;\n  }\n  /**\n   * Preview the previous character from the expression.\n   * @return {string} cNext\n   * @private\n   */\n\n\n  function prevCharacter(state) {\n    return state.expression.charAt(state.index - 1);\n  }\n  /**\n   * Preview the next character from the expression.\n   * @return {string} cNext\n   * @private\n   */\n\n\n  function nextCharacter(state) {\n    return state.expression.charAt(state.index + 1);\n  }\n  /**\n   * Get next token in the current string expr.\n   * The token and token type are available as token and tokenType\n   * @private\n   */\n\n\n  function getToken(state) {\n    state.tokenType = TOKENTYPE.NULL;\n    state.token = '';\n    state.comment = ''; // skip over whitespaces\n    // space, tab, and newline when inside parameters\n\n    while (parse.isWhitespace(currentCharacter(state), state.nestingLevel)) {\n      next(state);\n    } // skip comment\n\n\n    if (currentCharacter(state) === '#') {\n      while (currentCharacter(state) !== '\\n' && currentCharacter(state) !== '') {\n        state.comment += currentCharacter(state);\n        next(state);\n      }\n    } // check for end of expression\n\n\n    if (currentCharacter(state) === '') {\n      // token is still empty\n      state.tokenType = TOKENTYPE.DELIMITER;\n      return;\n    } // check for new line character\n\n\n    if (currentCharacter(state) === '\\n' && !state.nestingLevel) {\n      state.tokenType = TOKENTYPE.DELIMITER;\n      state.token = currentCharacter(state);\n      next(state);\n      return;\n    }\n\n    var c1 = currentCharacter(state);\n    var c2 = currentString(state, 2);\n    var c3 = currentString(state, 3);\n\n    if (c3.length === 3 && DELIMITERS[c3]) {\n      state.tokenType = TOKENTYPE.DELIMITER;\n      state.token = c3;\n      next(state);\n      next(state);\n      next(state);\n      return;\n    } // check for delimiters consisting of 2 characters\n\n\n    if (c2.length === 2 && DELIMITERS[c2]) {\n      state.tokenType = TOKENTYPE.DELIMITER;\n      state.token = c2;\n      next(state);\n      next(state);\n      return;\n    } // check for delimiters consisting of 1 character\n\n\n    if (DELIMITERS[c1]) {\n      state.tokenType = TOKENTYPE.DELIMITER;\n      state.token = c1;\n      next(state);\n      return;\n    } // check for a number\n\n\n    if (parse.isDigitDot(c1)) {\n      state.tokenType = TOKENTYPE.NUMBER; // get number, can have a single dot\n\n      if (currentCharacter(state) === '.') {\n        state.token += currentCharacter(state);\n        next(state);\n\n        if (!parse.isDigit(currentCharacter(state))) {\n          // this is no number, it is just a dot (can be dot notation)\n          state.tokenType = TOKENTYPE.DELIMITER;\n        }\n      } else {\n        while (parse.isDigit(currentCharacter(state))) {\n          state.token += currentCharacter(state);\n          next(state);\n        }\n\n        if (parse.isDecimalMark(currentCharacter(state), nextCharacter(state))) {\n          state.token += currentCharacter(state);\n          next(state);\n        }\n      }\n\n      while (parse.isDigit(currentCharacter(state))) {\n        state.token += currentCharacter(state);\n        next(state);\n      } // check for exponential notation like \"2.3e-4\", \"1.23e50\" or \"2e+4\"\n\n\n      if (currentCharacter(state) === 'E' || currentCharacter(state) === 'e') {\n        if (parse.isDigit(nextCharacter(state)) || nextCharacter(state) === '-' || nextCharacter(state) === '+') {\n          state.token += currentCharacter(state);\n          next(state);\n\n          if (currentCharacter(state) === '+' || currentCharacter(state) === '-') {\n            state.token += currentCharacter(state);\n            next(state);\n          } // Scientific notation MUST be followed by an exponent\n\n\n          if (!parse.isDigit(currentCharacter(state))) {\n            throw createSyntaxError(state, 'Digit expected, got \"' + currentCharacter(state) + '\"');\n          }\n\n          while (parse.isDigit(currentCharacter(state))) {\n            state.token += currentCharacter(state);\n            next(state);\n          }\n\n          if (parse.isDecimalMark(currentCharacter(state), nextCharacter(state))) {\n            throw createSyntaxError(state, 'Digit expected, got \"' + currentCharacter(state) + '\"');\n          }\n        } else if (nextCharacter(state) === '.') {\n          next(state);\n          throw createSyntaxError(state, 'Digit expected, got \"' + currentCharacter(state) + '\"');\n        }\n      }\n\n      return;\n    } // check for variables, functions, named operators\n\n\n    if (parse.isAlpha(currentCharacter(state), prevCharacter(state), nextCharacter(state))) {\n      while (parse.isAlpha(currentCharacter(state), prevCharacter(state), nextCharacter(state)) || parse.isDigit(currentCharacter(state))) {\n        state.token += currentCharacter(state);\n        next(state);\n      }\n\n      if (NAMED_DELIMITERS.hasOwnProperty(state.token)) {\n        state.tokenType = TOKENTYPE.DELIMITER;\n      } else {\n        state.tokenType = TOKENTYPE.SYMBOL;\n      }\n\n      return;\n    } // something unknown is found, wrong characters -> a syntax error\n\n\n    state.tokenType = TOKENTYPE.UNKNOWN;\n\n    while (currentCharacter(state) !== '') {\n      state.token += currentCharacter(state);\n      next(state);\n    }\n\n    throw createSyntaxError(state, 'Syntax error in part \"' + state.token + '\"');\n  }\n  /**\n   * Get next token and skip newline tokens\n   */\n\n\n  function getTokenSkipNewline(state) {\n    do {\n      getToken(state);\n    } while (state.token === '\\n'); // eslint-disable-line no-unmodified-loop-condition\n\n  }\n  /**\n   * Open parameters.\n   * New line characters will be ignored until closeParams(state) is called\n   */\n\n\n  function openParams(state) {\n    state.nestingLevel++;\n  }\n  /**\n   * Close parameters.\n   * New line characters will no longer be ignored\n   */\n\n\n  function closeParams(state) {\n    state.nestingLevel--;\n  }\n  /**\n   * Checks whether the current character `c` is a valid alpha character:\n   *\n   * - A latin letter (upper or lower case) Ascii: a-z, A-Z\n   * - An underscore                        Ascii: _\n   * - A dollar sign                        Ascii: $\n   * - A latin letter with accents          Unicode: \\u00C0 - \\u02AF\n   * - A greek letter                       Unicode: \\u0370 - \\u03FF\n   * - A mathematical alphanumeric symbol   Unicode: \\u{1D400} - \\u{1D7FF} excluding invalid code points\n   *\n   * The previous and next characters are needed to determine whether\n   * this character is part of a unicode surrogate pair.\n   *\n   * @param {string} c      Current character in the expression\n   * @param {string} cPrev  Previous character\n   * @param {string} cNext  Next character\n   * @return {boolean}\n   */\n\n\n  parse.isAlpha = function isAlpha(c, cPrev, cNext) {\n    return parse.isValidLatinOrGreek(c) || parse.isValidMathSymbol(c, cNext) || parse.isValidMathSymbol(cPrev, c);\n  };\n  /**\n   * Test whether a character is a valid latin, greek, or letter-like character\n   * @param {string} c\n   * @return {boolean}\n   */\n\n\n  parse.isValidLatinOrGreek = function isValidLatinOrGreek(c) {\n    return /^[a-zA-Z_$\\u00C0-\\u02AF\\u0370-\\u03FF\\u2100-\\u214F]$/.test(c);\n  };\n  /**\n   * Test whether two given 16 bit characters form a surrogate pair of a\n   * unicode math symbol.\n   *\n   * http://unicode-table.com/en/\n   * http://www.wikiwand.com/en/Mathematical_operators_and_symbols_in_Unicode\n   *\n   * Note: In ES6 will be unicode aware:\n   * http://stackoverflow.com/questions/280712/javascript-unicode-regexes\n   * https://mathiasbynens.be/notes/es6-unicode-regex\n   *\n   * @param {string} high\n   * @param {string} low\n   * @return {boolean}\n   */\n\n\n  parse.isValidMathSymbol = function isValidMathSymbol(high, low) {\n    return /^[\\uD835]$/.test(high) && /^[\\uDC00-\\uDFFF]$/.test(low) && /^[^\\uDC55\\uDC9D\\uDCA0\\uDCA1\\uDCA3\\uDCA4\\uDCA7\\uDCA8\\uDCAD\\uDCBA\\uDCBC\\uDCC4\\uDD06\\uDD0B\\uDD0C\\uDD15\\uDD1D\\uDD3A\\uDD3F\\uDD45\\uDD47-\\uDD49\\uDD51\\uDEA6\\uDEA7\\uDFCC\\uDFCD]$/.test(low);\n  };\n  /**\n   * Check whether given character c is a white space character: space, tab, or enter\n   * @param {string} c\n   * @param {number} nestingLevel\n   * @return {boolean}\n   */\n\n\n  parse.isWhitespace = function isWhitespace(c, nestingLevel) {\n    // TODO: also take '\\r' carriage return as newline? Or does that give problems on mac?\n    return c === ' ' || c === '\\t' || c === '\\n' && nestingLevel > 0;\n  };\n  /**\n   * Test whether the character c is a decimal mark (dot).\n   * This is the case when it's not the start of a delimiter '.*', './', or '.^'\n   * @param {string} c\n   * @param {string} cNext\n   * @return {boolean}\n   */\n\n\n  parse.isDecimalMark = function isDecimalMark(c, cNext) {\n    return c === '.' && cNext !== '/' && cNext !== '*' && cNext !== '^';\n  };\n  /**\n   * checks if the given char c is a digit or dot\n   * @param {string} c   a string with one character\n   * @return {boolean}\n   */\n\n\n  parse.isDigitDot = function isDigitDot(c) {\n    return c >= '0' && c <= '9' || c === '.';\n  };\n  /**\n   * checks if the given char c is a digit\n   * @param {string} c   a string with one character\n   * @return {boolean}\n   */\n\n\n  parse.isDigit = function isDigit(c) {\n    return c >= '0' && c <= '9';\n  };\n  /**\n   * Start of the parse levels below, in order of precedence\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseStart(expression, extraNodes) {\n    var state = initialState();\n\n    _extends(state, {\n      expression: expression,\n      extraNodes: extraNodes\n    });\n\n    getToken(state);\n    var node = parseBlock(state); // check for garbage at the end of the expression\n    // an expression ends with a empty character '' and tokenType DELIMITER\n\n    if (state.token !== '') {\n      if (state.tokenType === TOKENTYPE.DELIMITER) {\n        // user entered a not existing operator like \"//\"\n        // TODO: give hints for aliases, for example with \"<>\" give as hint \" did you mean !== ?\"\n        throw createError(state, 'Unexpected operator ' + state.token);\n      } else {\n        throw createSyntaxError(state, 'Unexpected part \"' + state.token + '\"');\n      }\n    }\n\n    return node;\n  }\n  /**\n   * Parse a block with expressions. Expressions can be separated by a newline\n   * character '\\n', or by a semicolon ';'. In case of a semicolon, no output\n   * of the preceding line is returned.\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseBlock(state) {\n    var node;\n    var blocks = [];\n    var visible;\n\n    if (state.token !== '' && state.token !== '\\n' && state.token !== ';') {\n      node = parseAssignment(state);\n      node.comment = state.comment;\n    } // TODO: simplify this loop\n\n\n    while (state.token === '\\n' || state.token === ';') {\n      // eslint-disable-line no-unmodified-loop-condition\n      if (blocks.length === 0 && node) {\n        visible = state.token !== ';';\n        blocks.push({\n          node: node,\n          visible: visible\n        });\n      }\n\n      getToken(state);\n\n      if (state.token !== '\\n' && state.token !== ';' && state.token !== '') {\n        node = parseAssignment(state);\n        node.comment = state.comment;\n        visible = state.token !== ';';\n        blocks.push({\n          node: node,\n          visible: visible\n        });\n      }\n    }\n\n    if (blocks.length > 0) {\n      return new BlockNode(blocks);\n    } else {\n      if (!node) {\n        node = new ConstantNode(undefined);\n        node.comment = state.comment;\n      }\n\n      return node;\n    }\n  }\n  /**\n   * Assignment of a function or variable,\n   * - can be a variable like 'a=2.3'\n   * - or a updating an existing variable like 'matrix(2,3:5)=[6,7,8]'\n   * - defining a function like 'f(x) = x^2'\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseAssignment(state) {\n    var name, args, value, valid;\n    var node = parseConditional(state);\n\n    if (state.token === '=') {\n      if (type.isSymbolNode(node)) {\n        // parse a variable assignment like 'a = 2/3'\n        name = node.name;\n        getTokenSkipNewline(state);\n        value = parseAssignment(state);\n        return new AssignmentNode(new SymbolNode(name), value);\n      } else if (type.isAccessorNode(node)) {\n        // parse a matrix subset assignment like 'A[1,2] = 4'\n        getTokenSkipNewline(state);\n        value = parseAssignment(state);\n        return new AssignmentNode(node.object, node.index, value);\n      } else if (type.isFunctionNode(node) && type.isSymbolNode(node.fn)) {\n        // parse function assignment like 'f(x) = x^2'\n        valid = true;\n        args = [];\n        name = node.name;\n        node.args.forEach(function (arg, index) {\n          if (type.isSymbolNode(arg)) {\n            args[index] = arg.name;\n          } else {\n            valid = false;\n          }\n        });\n\n        if (valid) {\n          getTokenSkipNewline(state);\n          value = parseAssignment(state);\n          return new FunctionAssignmentNode(name, args, value);\n        }\n      }\n\n      throw createSyntaxError(state, 'Invalid left hand side of assignment operator =');\n    }\n\n    return node;\n  }\n  /**\n   * conditional operation\n   *\n   *     condition ? truePart : falsePart\n   *\n   * Note: conditional operator is right-associative\n   *\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseConditional(state) {\n    var node = parseLogicalOr(state);\n\n    while (state.token === '?') {\n      // eslint-disable-line no-unmodified-loop-condition\n      // set a conditional level, the range operator will be ignored as long\n      // as conditionalLevel === state.nestingLevel.\n      var prev = state.conditionalLevel;\n      state.conditionalLevel = state.nestingLevel;\n      getTokenSkipNewline(state);\n      var condition = node;\n      var trueExpr = parseAssignment(state);\n      if (state.token !== ':') throw createSyntaxError(state, 'False part of conditional expression expected');\n      state.conditionalLevel = null;\n      getTokenSkipNewline(state);\n      var falseExpr = parseAssignment(state); // Note: check for conditional operator again, right associativity\n\n      node = new ConditionalNode(condition, trueExpr, falseExpr); // restore the previous conditional level\n\n      state.conditionalLevel = prev;\n    }\n\n    return node;\n  }\n  /**\n   * logical or, 'x or y'\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseLogicalOr(state) {\n    var node = parseLogicalXor(state);\n\n    while (state.token === 'or') {\n      // eslint-disable-line no-unmodified-loop-condition\n      getTokenSkipNewline(state);\n      node = new OperatorNode('or', 'or', [node, parseLogicalXor(state)]);\n    }\n\n    return node;\n  }\n  /**\n   * logical exclusive or, 'x xor y'\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseLogicalXor(state) {\n    var node = parseLogicalAnd(state);\n\n    while (state.token === 'xor') {\n      // eslint-disable-line no-unmodified-loop-condition\n      getTokenSkipNewline(state);\n      node = new OperatorNode('xor', 'xor', [node, parseLogicalAnd(state)]);\n    }\n\n    return node;\n  }\n  /**\n   * logical and, 'x and y'\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseLogicalAnd(state) {\n    var node = parseBitwiseOr(state);\n\n    while (state.token === 'and') {\n      // eslint-disable-line no-unmodified-loop-condition\n      getTokenSkipNewline(state);\n      node = new OperatorNode('and', 'and', [node, parseBitwiseOr(state)]);\n    }\n\n    return node;\n  }\n  /**\n   * bitwise or, 'x | y'\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseBitwiseOr(state) {\n    var node = parseBitwiseXor(state);\n\n    while (state.token === '|') {\n      // eslint-disable-line no-unmodified-loop-condition\n      getTokenSkipNewline(state);\n      node = new OperatorNode('|', 'bitOr', [node, parseBitwiseXor(state)]);\n    }\n\n    return node;\n  }\n  /**\n   * bitwise exclusive or (xor), 'x ^| y'\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseBitwiseXor(state) {\n    var node = parseBitwiseAnd(state);\n\n    while (state.token === '^|') {\n      // eslint-disable-line no-unmodified-loop-condition\n      getTokenSkipNewline(state);\n      node = new OperatorNode('^|', 'bitXor', [node, parseBitwiseAnd(state)]);\n    }\n\n    return node;\n  }\n  /**\n   * bitwise and, 'x & y'\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseBitwiseAnd(state) {\n    var node = parseRelational(state);\n\n    while (state.token === '&') {\n      // eslint-disable-line no-unmodified-loop-condition\n      getTokenSkipNewline(state);\n      node = new OperatorNode('&', 'bitAnd', [node, parseRelational(state)]);\n    }\n\n    return node;\n  }\n  /**\n   * Parse a chained conditional, like 'a > b >= c'\n   * @return {Node} node\n   */\n\n\n  function parseRelational(state) {\n    var params = [parseShift(state)];\n    var conditionals = [];\n    var operators = {\n      '==': 'equal',\n      '!=': 'unequal',\n      '<': 'smaller',\n      '>': 'larger',\n      '<=': 'smallerEq',\n      '>=': 'largerEq'\n    };\n\n    while (operators.hasOwnProperty(state.token)) {\n      // eslint-disable-line no-unmodified-loop-condition\n      var cond = {\n        name: state.token,\n        fn: operators[state.token]\n      };\n      conditionals.push(cond);\n      getTokenSkipNewline(state);\n      params.push(parseShift(state));\n    }\n\n    if (params.length === 1) {\n      return params[0];\n    } else if (params.length === 2) {\n      return new OperatorNode(conditionals[0].name, conditionals[0].fn, params);\n    } else {\n      return new RelationalNode(conditionals.map(function (c) {\n        return c.fn;\n      }), params);\n    }\n  }\n  /**\n   * Bitwise left shift, bitwise right arithmetic shift, bitwise right logical shift\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseShift(state) {\n    var node, operators, name, fn, params;\n    node = parseConversion(state);\n    operators = {\n      '<<': 'leftShift',\n      '>>': 'rightArithShift',\n      '>>>': 'rightLogShift'\n    };\n\n    while (operators.hasOwnProperty(state.token)) {\n      name = state.token;\n      fn = operators[name];\n      getTokenSkipNewline(state);\n      params = [node, parseConversion(state)];\n      node = new OperatorNode(name, fn, params);\n    }\n\n    return node;\n  }\n  /**\n   * conversion operators 'to' and 'in'\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseConversion(state) {\n    var node, operators, name, fn, params;\n    node = parseRange(state);\n    operators = {\n      'to': 'to',\n      'in': 'to' // alias of 'to'\n\n    };\n\n    while (operators.hasOwnProperty(state.token)) {\n      name = state.token;\n      fn = operators[name];\n      getTokenSkipNewline(state);\n\n      if (name === 'in' && state.token === '') {\n        // end of expression -> this is the unit 'in' ('inch')\n        node = new OperatorNode('*', 'multiply', [node, new SymbolNode('in')], true);\n      } else {\n        // operator 'a to b' or 'a in b'\n        params = [node, parseRange(state)];\n        node = new OperatorNode(name, fn, params);\n      }\n    }\n\n    return node;\n  }\n  /**\n   * parse range, \"start:end\", \"start:step:end\", \":\", \"start:\", \":end\", etc\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseRange(state) {\n    var node;\n    var params = [];\n\n    if (state.token === ':') {\n      // implicit start=1 (one-based)\n      node = new ConstantNode(1);\n    } else {\n      // explicit start\n      node = parseAddSubtract(state);\n    }\n\n    if (state.token === ':' && state.conditionalLevel !== state.nestingLevel) {\n      // we ignore the range operator when a conditional operator is being processed on the same level\n      params.push(node); // parse step and end\n\n      while (state.token === ':' && params.length < 3) {\n        // eslint-disable-line no-unmodified-loop-condition\n        getTokenSkipNewline(state);\n\n        if (state.token === ')' || state.token === ']' || state.token === ',' || state.token === '') {\n          // implicit end\n          params.push(new SymbolNode('end'));\n        } else {\n          // explicit end\n          params.push(parseAddSubtract(state));\n        }\n      }\n\n      if (params.length === 3) {\n        // params = [start, step, end]\n        node = new RangeNode(params[0], params[2], params[1]); // start, end, step\n      } else {\n        // length === 2\n        // params = [start, end]\n        node = new RangeNode(params[0], params[1]); // start, end\n      }\n    }\n\n    return node;\n  }\n  /**\n   * add or subtract\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseAddSubtract(state) {\n    var node, operators, name, fn, params;\n    node = parseMultiplyDivide(state);\n    operators = {\n      '+': 'add',\n      '-': 'subtract'\n    };\n\n    while (operators.hasOwnProperty(state.token)) {\n      name = state.token;\n      fn = operators[name];\n      getTokenSkipNewline(state);\n      params = [node, parseMultiplyDivide(state)];\n      node = new OperatorNode(name, fn, params);\n    }\n\n    return node;\n  }\n  /**\n   * multiply, divide, modulus\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseMultiplyDivide(state) {\n    var node, last, operators, name, fn;\n    node = parseImplicitMultiplication(state);\n    last = node;\n    operators = {\n      '*': 'multiply',\n      '.*': 'dotMultiply',\n      '/': 'divide',\n      './': 'dotDivide',\n      '%': 'mod',\n      'mod': 'mod'\n    };\n\n    while (true) {\n      if (operators.hasOwnProperty(state.token)) {\n        // explicit operators\n        name = state.token;\n        fn = operators[name];\n        getTokenSkipNewline(state);\n        last = parseImplicitMultiplication(state);\n        node = new OperatorNode(name, fn, [node, last]);\n      } else {\n        break;\n      }\n    }\n\n    return node;\n  }\n  /**\n   * implicit multiplication\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseImplicitMultiplication(state) {\n    var node, last;\n    node = parseRule2(state);\n    last = node;\n\n    while (true) {\n      if (state.tokenType === TOKENTYPE.SYMBOL || state.token === 'in' && type.isConstantNode(node) || state.tokenType === TOKENTYPE.NUMBER && !type.isConstantNode(last) && (!type.isOperatorNode(last) || last.op === '!') || state.token === '(') {\n        // parse implicit multiplication\n        //\n        // symbol:      implicit multiplication like '2a', '(2+3)a', 'a b'\n        // number:      implicit multiplication like '(2+3)2'\n        // parenthesis: implicit multiplication like '2(3+4)', '(3+4)(1+2)'\n        last = parseRule2(state);\n        node = new OperatorNode('*', 'multiply', [node, last], true\n        /* implicit */\n        );\n      } else {\n        break;\n      }\n    }\n\n    return node;\n  }\n  /**\n   * Infamous \"rule 2\" as described in https://github.com/josdejong/mathjs/issues/792#issuecomment-361065370\n   * Explicit division gets higher precedence than implicit multiplication\n   * when the division matches this pattern: [number] / [number] [symbol]\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseRule2(state) {\n    var node = parseUnary(state);\n    var last = node;\n    var tokenStates = [];\n\n    while (true) {\n      // Match the \"number /\" part of the pattern \"number / number symbol\"\n      if (state.token === '/' && type.isConstantNode(last)) {\n        // Look ahead to see if the next token is a number\n        tokenStates.push(_extends({}, state));\n        getTokenSkipNewline(state); // Match the \"number / number\" part of the pattern\n\n        if (state.tokenType === TOKENTYPE.NUMBER) {\n          // Look ahead again\n          tokenStates.push(_extends({}, state));\n          getTokenSkipNewline(state); // Match the \"symbol\" part of the pattern, or a left parenthesis\n\n          if (state.tokenType === TOKENTYPE.SYMBOL || state.token === '(') {\n            // We've matched the pattern \"number / number symbol\".\n            // Rewind once and build the \"number / number\" node; the symbol will be consumed later\n            _extends(state, tokenStates.pop());\n\n            tokenStates.pop();\n            last = parseUnary(state);\n            node = new OperatorNode('/', 'divide', [node, last]);\n          } else {\n            // Not a match, so rewind\n            tokenStates.pop();\n\n            _extends(state, tokenStates.pop());\n\n            break;\n          }\n        } else {\n          // Not a match, so rewind\n          _extends(state, tokenStates.pop());\n\n          break;\n        }\n      } else {\n        break;\n      }\n    }\n\n    return node;\n  }\n  /**\n   * Unary plus and minus, and logical and bitwise not\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseUnary(state) {\n    var name, params, fn;\n    var operators = {\n      '-': 'unaryMinus',\n      '+': 'unaryPlus',\n      '~': 'bitNot',\n      'not': 'not'\n    };\n\n    if (operators.hasOwnProperty(state.token)) {\n      fn = operators[state.token];\n      name = state.token;\n      getTokenSkipNewline(state);\n      params = [parseUnary(state)];\n      return new OperatorNode(name, fn, params);\n    }\n\n    return parsePow(state);\n  }\n  /**\n   * power\n   * Note: power operator is right associative\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parsePow(state) {\n    var node, name, fn, params;\n    node = parseLeftHandOperators(state);\n\n    if (state.token === '^' || state.token === '.^') {\n      name = state.token;\n      fn = name === '^' ? 'pow' : 'dotPow';\n      getTokenSkipNewline(state);\n      params = [node, parseUnary(state)]; // Go back to unary, we can have '2^-3'\n\n      node = new OperatorNode(name, fn, params);\n    }\n\n    return node;\n  }\n  /**\n   * Left hand operators: factorial x!, ctranspose x'\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseLeftHandOperators(state) {\n    var node, operators, name, fn, params;\n    node = parseCustomNodes(state);\n    operators = {\n      '!': 'factorial',\n      '\\'': 'ctranspose'\n    };\n\n    while (operators.hasOwnProperty(state.token)) {\n      name = state.token;\n      fn = operators[name];\n      getToken(state);\n      params = [node];\n      node = new OperatorNode(name, fn, params);\n      node = parseAccessors(state, node);\n    }\n\n    return node;\n  }\n  /**\n   * Parse a custom node handler. A node handler can be used to process\n   * nodes in a custom way, for example for handling a plot.\n   *\n   * A handler must be passed as second argument of the parse function.\n   * - must extend math.expression.node.Node\n   * - must contain a function _compile(defs: Object) : string\n   * - must contain a function find(filter: Object) : Node[]\n   * - must contain a function toString() : string\n   * - the constructor is called with a single argument containing all parameters\n   *\n   * For example:\n   *\n   *     nodes = {\n   *       'plot': PlotHandler\n   *     }\n   *\n   * The constructor of the handler is called as:\n   *\n   *     node = new PlotHandler(params)\n   *\n   * The handler will be invoked when evaluating an expression like:\n   *\n   *     node = math.parse('plot(sin(x), x)', nodes)\n   *\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseCustomNodes(state) {\n    var params = [];\n\n    if (state.tokenType === TOKENTYPE.SYMBOL && state.extraNodes.hasOwnProperty(state.token)) {\n      var CustomNode = state.extraNodes[state.token];\n      getToken(state); // parse parameters\n\n      if (state.token === '(') {\n        params = [];\n        openParams(state);\n        getToken(state);\n\n        if (state.token !== ')') {\n          params.push(parseAssignment(state)); // parse a list with parameters\n\n          while (state.token === ',') {\n            // eslint-disable-line no-unmodified-loop-condition\n            getToken(state);\n            params.push(parseAssignment(state));\n          }\n        }\n\n        if (state.token !== ')') {\n          throw createSyntaxError(state, 'Parenthesis ) expected');\n        }\n\n        closeParams(state);\n        getToken(state);\n      } // create a new custom node\n      // noinspection JSValidateTypes\n\n\n      return new CustomNode(params);\n    }\n\n    return parseSymbol(state);\n  }\n  /**\n   * parse symbols: functions, variables, constants, units\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseSymbol(state) {\n    var node, name;\n\n    if (state.tokenType === TOKENTYPE.SYMBOL || state.tokenType === TOKENTYPE.DELIMITER && state.token in NAMED_DELIMITERS) {\n      name = state.token;\n      getToken(state);\n\n      if (CONSTANTS.hasOwnProperty(name)) {\n        // true, false, null, ...\n        node = new ConstantNode(CONSTANTS[name]);\n      } else if (NUMERIC_CONSTANTS.indexOf(name) !== -1) {\n        // NaN, Infinity\n        node = new ConstantNode(numeric(name, 'number'));\n      } else {\n        node = new SymbolNode(name);\n      } // parse function parameters and matrix index\n\n\n      node = parseAccessors(state, node);\n      return node;\n    }\n\n    return parseDoubleQuotesString(state);\n  }\n  /**\n   * parse accessors:\n   * - function invocation in round brackets (...), for example sqrt(2)\n   * - index enclosed in square brackets [...], for example A[2,3]\n   * - dot notation for properties, like foo.bar\n   * @param {Node} node    Node on which to apply the parameters. If there\n   *                       are no parameters in the expression, the node\n   *                       itself is returned\n   * @param {string[]} [types]  Filter the types of notations\n   *                            can be ['(', '[', '.']\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseAccessors(state, node, types) {\n    var params;\n\n    while ((state.token === '(' || state.token === '[' || state.token === '.') && (!types || types.indexOf(state.token) !== -1)) {\n      // eslint-disable-line no-unmodified-loop-condition\n      params = [];\n\n      if (state.token === '(') {\n        if (type.isSymbolNode(node) || type.isAccessorNode(node)) {\n          // function invocation like fn(2, 3) or obj.fn(2, 3)\n          openParams(state);\n          getToken(state);\n\n          if (state.token !== ')') {\n            params.push(parseAssignment(state)); // parse a list with parameters\n\n            while (state.token === ',') {\n              // eslint-disable-line no-unmodified-loop-condition\n              getToken(state);\n              params.push(parseAssignment(state));\n            }\n          }\n\n          if (state.token !== ')') {\n            throw createSyntaxError(state, 'Parenthesis ) expected');\n          }\n\n          closeParams(state);\n          getToken(state);\n          node = new FunctionNode(node, params);\n        } else {\n          // implicit multiplication like (2+3)(4+5) or sqrt(2)(1+2)\n          // don't parse it here but let it be handled by parseImplicitMultiplication\n          // with correct precedence\n          return node;\n        }\n      } else if (state.token === '[') {\n        // index notation like variable[2, 3]\n        openParams(state);\n        getToken(state);\n\n        if (state.token !== ']') {\n          params.push(parseAssignment(state)); // parse a list with parameters\n\n          while (state.token === ',') {\n            // eslint-disable-line no-unmodified-loop-condition\n            getToken(state);\n            params.push(parseAssignment(state));\n          }\n        }\n\n        if (state.token !== ']') {\n          throw createSyntaxError(state, 'Parenthesis ] expected');\n        }\n\n        closeParams(state);\n        getToken(state);\n        node = new AccessorNode(node, new IndexNode(params));\n      } else {\n        // dot notation like variable.prop\n        getToken(state);\n\n        if (state.tokenType !== TOKENTYPE.SYMBOL) {\n          throw createSyntaxError(state, 'Property name expected after dot');\n        }\n\n        params.push(new ConstantNode(state.token));\n        getToken(state);\n        var dotNotation = true;\n        node = new AccessorNode(node, new IndexNode(params, dotNotation));\n      }\n    }\n\n    return node;\n  }\n  /**\n   * Parse a double quotes string.\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseDoubleQuotesString(state) {\n    var node, str;\n\n    if (state.token === '\"') {\n      str = parseDoubleQuotesStringToken(state); // create constant\n\n      node = new ConstantNode(str); // parse index parameters\n\n      node = parseAccessors(state, node);\n      return node;\n    }\n\n    return parseSingleQuotesString(state);\n  }\n  /**\n   * Parse a string surrounded by double quotes \"...\"\n   * @return {string}\n   */\n\n\n  function parseDoubleQuotesStringToken(state) {\n    var str = '';\n\n    while (currentCharacter(state) !== '' && currentCharacter(state) !== '\"') {\n      if (currentCharacter(state) === '\\\\') {\n        // escape character, immediately process the next\n        // character to prevent stopping at a next '\\\"'\n        str += currentCharacter(state);\n        next(state);\n      }\n\n      str += currentCharacter(state);\n      next(state);\n    }\n\n    getToken(state);\n\n    if (state.token !== '\"') {\n      throw createSyntaxError(state, 'End of string \" expected');\n    }\n\n    getToken(state);\n    return JSON.parse('\"' + str + '\"'); // unescape escaped characters\n  }\n  /**\n   * Parse a single quotes string.\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseSingleQuotesString(state) {\n    var node, str;\n\n    if (state.token === '\\'') {\n      str = parseSingleQuotesStringToken(state); // create constant\n\n      node = new ConstantNode(str); // parse index parameters\n\n      node = parseAccessors(state, node);\n      return node;\n    }\n\n    return parseMatrix(state);\n  }\n  /**\n   * Parse a string surrounded by single quotes '...'\n   * @return {string}\n   */\n\n\n  function parseSingleQuotesStringToken(state) {\n    var str = '';\n\n    while (currentCharacter(state) !== '' && currentCharacter(state) !== '\\'') {\n      if (currentCharacter(state) === '\\\\') {\n        // escape character, immediately process the next\n        // character to prevent stopping at a next '\\''\n        str += currentCharacter(state);\n        next(state);\n      }\n\n      str += currentCharacter(state);\n      next(state);\n    }\n\n    getToken(state);\n\n    if (state.token !== '\\'') {\n      throw createSyntaxError(state, 'End of string \\' expected');\n    }\n\n    getToken(state);\n    return JSON.parse('\"' + str + '\"'); // unescape escaped characters\n  }\n  /**\n   * parse the matrix\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseMatrix(state) {\n    var array, params, rows, cols;\n\n    if (state.token === '[') {\n      // matrix [...]\n      openParams(state);\n      getToken(state);\n\n      if (state.token !== ']') {\n        // this is a non-empty matrix\n        var row = parseRow(state);\n\n        if (state.token === ';') {\n          // 2 dimensional array\n          rows = 1;\n          params = [row]; // the rows of the matrix are separated by dot-comma's\n\n          while (state.token === ';') {\n            // eslint-disable-line no-unmodified-loop-condition\n            getToken(state);\n            params[rows] = parseRow(state);\n            rows++;\n          }\n\n          if (state.token !== ']') {\n            throw createSyntaxError(state, 'End of matrix ] expected');\n          }\n\n          closeParams(state);\n          getToken(state); // check if the number of columns matches in all rows\n\n          cols = params[0].items.length;\n\n          for (var r = 1; r < rows; r++) {\n            if (params[r].items.length !== cols) {\n              throw createError(state, 'Column dimensions mismatch ' + '(' + params[r].items.length + ' !== ' + cols + ')');\n            }\n          }\n\n          array = new ArrayNode(params);\n        } else {\n          // 1 dimensional vector\n          if (state.token !== ']') {\n            throw createSyntaxError(state, 'End of matrix ] expected');\n          }\n\n          closeParams(state);\n          getToken(state);\n          array = row;\n        }\n      } else {\n        // this is an empty matrix \"[ ]\"\n        closeParams(state);\n        getToken(state);\n        array = new ArrayNode([]);\n      }\n\n      return parseAccessors(state, array);\n    }\n\n    return parseObject(state);\n  }\n  /**\n   * Parse a single comma-separated row from a matrix, like 'a, b, c'\n   * @return {ArrayNode} node\n   */\n\n\n  function parseRow(state) {\n    var params = [parseAssignment(state)];\n    var len = 1;\n\n    while (state.token === ',') {\n      // eslint-disable-line no-unmodified-loop-condition\n      getToken(state); // parse expression\n\n      params[len] = parseAssignment(state);\n      len++;\n    }\n\n    return new ArrayNode(params);\n  }\n  /**\n   * parse an object, enclosed in angle brackets{...}, for example {value: 2}\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseObject(state) {\n    if (state.token === '{') {\n      openParams(state);\n      var key;\n      var properties = {};\n\n      do {\n        getToken(state);\n\n        if (state.token !== '}') {\n          // parse key\n          if (state.token === '\"') {\n            key = parseDoubleQuotesStringToken(state);\n          } else if (state.token === '\\'') {\n            key = parseSingleQuotesStringToken(state);\n          } else if (state.tokenType === TOKENTYPE.SYMBOL) {\n            key = state.token;\n            getToken(state);\n          } else {\n            throw createSyntaxError(state, 'Symbol or string expected as object key');\n          } // parse key/value separator\n\n\n          if (state.token !== ':') {\n            throw createSyntaxError(state, 'Colon : expected after object key');\n          }\n\n          getToken(state); // parse key\n\n          properties[key] = parseAssignment(state);\n        }\n      } while (state.token === ','); // eslint-disable-line no-unmodified-loop-condition\n\n\n      if (state.token !== '}') {\n        throw createSyntaxError(state, 'Comma , or bracket } expected after object value');\n      }\n\n      closeParams(state);\n      getToken(state);\n      var node = new ObjectNode(properties); // parse index parameters\n\n      node = parseAccessors(state, node);\n      return node;\n    }\n\n    return parseNumber(state);\n  }\n  /**\n   * parse a number\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseNumber(state) {\n    var numberStr;\n\n    if (state.tokenType === TOKENTYPE.NUMBER) {\n      // this is a number\n      numberStr = state.token;\n      getToken(state);\n      return new ConstantNode(numeric(numberStr, config.number));\n    }\n\n    return parseParentheses(state);\n  }\n  /**\n   * parentheses\n   * @return {Node} node\n   * @private\n   */\n\n\n  function parseParentheses(state) {\n    var node; // check if it is a parenthesized expression\n\n    if (state.token === '(') {\n      // parentheses (...)\n      openParams(state);\n      getToken(state);\n      node = parseAssignment(state); // start again\n\n      if (state.token !== ')') {\n        throw createSyntaxError(state, 'Parenthesis ) expected');\n      }\n\n      closeParams(state);\n      getToken(state);\n      node = new ParenthesisNode(node);\n      node = parseAccessors(state, node);\n      return node;\n    }\n\n    return parseEnd(state);\n  }\n  /**\n   * Evaluated when the expression is not yet ended but expected to end\n   * @return {Node} res\n   * @private\n   */\n\n\n  function parseEnd(state) {\n    if (state.token === '') {\n      // syntax error or unexpected end of expression\n      throw createSyntaxError(state, 'Unexpected end of expression');\n    } else {\n      throw createSyntaxError(state, 'Value expected');\n    }\n  }\n  /**\n   * Shortcut for getting the current row value (one based)\n   * Returns the line of the currently handled expression\n   * @private\n   */\n\n  /* TODO: implement keeping track on the row number\n  function row () {\n    return null\n  }\n  */\n\n  /**\n   * Shortcut for getting the current col value (one based)\n   * Returns the column (position) where the last state.token starts\n   * @private\n   */\n\n\n  function col(state) {\n    return state.index - state.token.length + 1;\n  }\n  /**\n   * Create an error\n   * @param {string} message\n   * @return {SyntaxError} instantiated error\n   * @private\n   */\n\n\n  function createSyntaxError(state, message) {\n    var c = col(state);\n    var error = new SyntaxError(message + ' (char ' + c + ')');\n    error['char'] = c;\n    return error;\n  }\n  /**\n   * Create an error\n   * @param {string} message\n   * @return {Error} instantiated error\n   * @private\n   */\n\n\n  function createError(state, message) {\n    var c = col(state);\n    var error = new SyntaxError(message + ' (char ' + c + ')');\n    error['char'] = c;\n    return error;\n  }\n\n  return parse;\n}\n\nexports.name = 'parse';\nexports.path = 'expression';\nexports.factory = factory;","'use strict';\n\nvar extend = require('../../utils/object').extend;\n\nfunction factory(type, config, load, typed) {\n  var divideScalar = load(require('./divideScalar'));\n  var multiply = load(require('./multiply'));\n  var inv = load(require('../matrix/inv'));\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Divide two values, `x / y`.\n   * To divide matrices, `x` is multiplied with the inverse of `y`: `x * inv(y)`.\n   *\n   * Syntax:\n   *\n   *    math.divide(x, y)\n   *\n   * Examples:\n   *\n   *    math.divide(2, 3)            // returns number 0.6666666666666666\n   *\n   *    const a = math.complex(5, 14)\n   *    const b = math.complex(4, 1)\n   *    math.divide(a, b)            // returns Complex 2 + 3i\n   *\n   *    const c = [[7, -6], [13, -4]]\n   *    const d = [[1, 2], [4, 3]]\n   *    math.divide(c, d)            // returns Array [[-9, 4], [-11, 6]]\n   *\n   *    const e = math.unit('18 km')\n   *    math.divide(e, 4.5)          // returns Unit 4 km\n   *\n   * See also:\n   *\n   *    multiply\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x   Numerator\n   * @param  {number | BigNumber | Fraction | Complex | Array | Matrix} y          Denominator\n   * @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix}                      Quotient, `x / y`\n   */\n\n  var divide = typed('divide', extend({\n    // we extend the signatures of divideScalar with signatures dealing with matrices\n    'Array | Matrix, Array | Matrix': function ArrayMatrixArrayMatrix(x, y) {\n      // TODO: implement matrix right division using pseudo inverse\n      // http://www.mathworks.nl/help/matlab/ref/mrdivide.html\n      // http://www.gnu.org/software/octave/doc/interpreter/Arithmetic-Ops.html\n      // http://stackoverflow.com/questions/12263932/how-does-gnu-octave-matrix-division-work-getting-unexpected-behaviour\n      return multiply(x, inv(y));\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, divideScalar, false);\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm11(x, y, divideScalar, false);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, divideScalar, false).valueOf();\n    },\n    'any, Array | Matrix': function anyArrayMatrix(x, y) {\n      return multiply(x, inv(y));\n    }\n  }, divideScalar.signatures));\n  divide.toTex = {\n    2: \"\\\\frac{${args[0]}}{${args[1]}}\"\n  };\n  return divide;\n}\n\nexports.name = 'divide';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the square root of a value.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.sqrt(x)\n   *\n   * Examples:\n   *\n   *    math.sqrt(25)                // returns 5\n   *    math.square(5)               // returns 25\n   *    math.sqrt(-4)                // returns Complex 2i\n   *\n   * See also:\n   *\n   *    square, multiply, cube, cbrt, sqrtm\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix | Unit} x\n   *            Value for which to calculate the square root.\n   * @return {number | BigNumber | Complex | Array | Matrix | Unit}\n   *            Returns the square root of `x`\n   */\n  var sqrt = typed('sqrt', {\n    'number': _sqrtNumber,\n    'Complex': function Complex(x) {\n      return x.sqrt();\n    },\n    'BigNumber': function BigNumber(x) {\n      if (!x.isNegative() || config.predictable) {\n        return x.sqrt();\n      } else {\n        // negative value -> downgrade to number to do complex value computation\n        return _sqrtNumber(x.toNumber());\n      }\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since sqrt(0) = 0\n      return deepMap(x, sqrt, true);\n    },\n    'Unit': function Unit(x) {\n      // Someday will work for complex units when they are implemented\n      return x.pow(0.5);\n    }\n  });\n  /**\n   * Calculate sqrt for a number\n   * @param {number} x\n   * @returns {number | Complex} Returns the square root of x\n   * @private\n   */\n\n  function _sqrtNumber(x) {\n    if (isNaN(x)) {\n      return NaN;\n    } else if (x >= 0 || config.predictable) {\n      return Math.sqrt(x);\n    } else {\n      return new type.Complex(x, 0).sqrt();\n    }\n  }\n\n  sqrt.toTex = {\n    1: \"\\\\sqrt{${args[0]}}\"\n  };\n  return sqrt;\n}\n\nexports.name = 'sqrt';\nexports.factory = factory;","'use strict';\n\nvar isMatrix = require('./isMatrix');\n/**\n * Recursively loop over all elements in a given multi dimensional array\n * and invoke the callback on each of the elements.\n * @param {Array | Matrix} array\n * @param {Function} callback     The callback method is invoked with one\n *                                parameter: the current element in the array\n */\n\n\nmodule.exports = function deepForEach(array, callback) {\n  if (isMatrix(array)) {\n    array = array.valueOf();\n  }\n\n  for (var i = 0, ii = array.length; i < ii; i++) {\n    var value = array[i];\n\n    if (Array.isArray(value)) {\n      deepForEach(value, callback);\n    } else {\n      callback(value);\n    }\n  }\n};","'use strict';\n\nvar isMatrix = require('./isMatrix');\n/**\n * Test whether a value is a collection: an Array or Matrix\n * @param {*} x\n * @returns {boolean} isCollection\n */\n\n\nmodule.exports = function isCollection(x) {\n  return Array.isArray(x) || isMatrix(x);\n};","'use strict';\n\nvar util = require('../../utils/index');\n\nvar DimensionError = require('../../error/DimensionError');\n\nvar string = util.string;\nvar array = util.array;\nvar object = util.object;\nvar number = util.number;\nvar isArray = Array.isArray;\nvar isNumber = number.isNumber;\nvar isInteger = number.isInteger;\nvar isString = string.isString;\nvar validateIndex = array.validateIndex;\n\nfunction factory(type, config, load, typed) {\n  var getArrayDataType = load(require('./utils/getArrayDataType'));\n  var Matrix = load(require('./Matrix')); // force loading Matrix (do not use via type.Matrix)\n\n  /**\n   * Dense Matrix implementation. A regular, dense matrix, supporting multi-dimensional matrices. This is the default matrix type.\n   * @class DenseMatrix\n   */\n\n  function DenseMatrix(data, datatype) {\n    if (!(this instanceof DenseMatrix)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    if (datatype && !isString(datatype)) {\n      throw new Error('Invalid datatype: ' + datatype);\n    }\n\n    if (type.isMatrix(data)) {\n      // check data is a DenseMatrix\n      if (data.type === 'DenseMatrix') {\n        // clone data & size\n        this._data = object.clone(data._data);\n        this._size = object.clone(data._size);\n        this._datatype = datatype || data._datatype;\n      } else {\n        // build data from existing matrix\n        this._data = data.toArray();\n        this._size = data.size();\n        this._datatype = datatype || data._datatype;\n      }\n    } else if (data && isArray(data.data) && isArray(data.size)) {\n      // initialize fields from JSON representation\n      this._data = data.data;\n      this._size = data.size;\n      this._datatype = datatype || data.datatype;\n    } else if (isArray(data)) {\n      // replace nested Matrices with Arrays\n      this._data = preprocess(data); // get the dimensions of the array\n\n      this._size = array.size(this._data); // verify the dimensions of the array, TODO: compute size while processing array\n\n      array.validate(this._data, this._size); // data type unknown\n\n      this._datatype = datatype;\n    } else if (data) {\n      // unsupported type\n      throw new TypeError('Unsupported type of data (' + util.types.type(data) + ')');\n    } else {\n      // nothing provided\n      this._data = [];\n      this._size = [0];\n      this._datatype = datatype;\n    }\n  }\n\n  DenseMatrix.prototype = new Matrix();\n  /**\n   * Attach type information\n   */\n\n  DenseMatrix.prototype.type = 'DenseMatrix';\n  DenseMatrix.prototype.isDenseMatrix = true;\n  /**\n   * Get the matrix type\n   *\n   * Usage:\n   *    const matrixType = matrix.getDataType()  // retrieves the matrix type\n   *\n   * @memberOf DenseMatrix\n   * @return {string}   type information; if multiple types are found from the Matrix, it will return \"mixed\"\n   */\n\n  DenseMatrix.prototype.getDataType = function () {\n    return getArrayDataType(this._data);\n  };\n  /**\n   * Get the storage format used by the matrix.\n   *\n   * Usage:\n   *     const format = matrix.storage()  // retrieve storage format\n   *\n   * @memberof DenseMatrix\n   * @return {string}           The storage format.\n   */\n\n\n  DenseMatrix.prototype.storage = function () {\n    return 'dense';\n  };\n  /**\n   * Get the datatype of the data stored in the matrix.\n   *\n   * Usage:\n   *     const format = matrix.datatype()   // retrieve matrix datatype\n   *\n   * @memberof DenseMatrix\n   * @return {string}           The datatype.\n   */\n\n\n  DenseMatrix.prototype.datatype = function () {\n    return this._datatype;\n  };\n  /**\n   * Create a new DenseMatrix\n   * @memberof DenseMatrix\n   * @param {Array} data\n   * @param {string} [datatype]\n   */\n\n\n  DenseMatrix.prototype.create = function (data, datatype) {\n    return new DenseMatrix(data, datatype);\n  };\n  /**\n   * Get a subset of the matrix, or replace a subset of the matrix.\n   *\n   * Usage:\n   *     const subset = matrix.subset(index)               // retrieve subset\n   *     const value = matrix.subset(index, replacement)   // replace subset\n   *\n   * @memberof DenseMatrix\n   * @param {Index} index\n   * @param {Array | DenseMatrix | *} [replacement]\n   * @param {*} [defaultValue=0]      Default value, filled in on new entries when\n   *                                  the matrix is resized. If not provided,\n   *                                  new matrix elements will be filled with zeros.\n   */\n\n\n  DenseMatrix.prototype.subset = function (index, replacement, defaultValue) {\n    switch (arguments.length) {\n      case 1:\n        return _get(this, index);\n      // intentional fall through\n\n      case 2:\n      case 3:\n        return _set(this, index, replacement, defaultValue);\n\n      default:\n        throw new SyntaxError('Wrong number of arguments');\n    }\n  };\n  /**\n   * Get a single element from the matrix.\n   * @memberof DenseMatrix\n   * @param {number[]} index   Zero-based index\n   * @return {*} value\n   */\n\n\n  DenseMatrix.prototype.get = function (index) {\n    if (!isArray(index)) {\n      throw new TypeError('Array expected');\n    }\n\n    if (index.length !== this._size.length) {\n      throw new DimensionError(index.length, this._size.length);\n    } // check index\n\n\n    for (var x = 0; x < index.length; x++) {\n      validateIndex(index[x], this._size[x]);\n    }\n\n    var data = this._data;\n\n    for (var i = 0, ii = index.length; i < ii; i++) {\n      var indexI = index[i];\n      validateIndex(indexI, data.length);\n      data = data[indexI];\n    }\n\n    return data;\n  };\n  /**\n   * Replace a single element in the matrix.\n   * @memberof DenseMatrix\n   * @param {number[]} index   Zero-based index\n   * @param {*} value\n   * @param {*} [defaultValue]        Default value, filled in on new entries when\n   *                                  the matrix is resized. If not provided,\n   *                                  new matrix elements will be left undefined.\n   * @return {DenseMatrix} self\n   */\n\n\n  DenseMatrix.prototype.set = function (index, value, defaultValue) {\n    if (!isArray(index)) {\n      throw new TypeError('Array expected');\n    }\n\n    if (index.length < this._size.length) {\n      throw new DimensionError(index.length, this._size.length, '<');\n    }\n\n    var i, ii, indexI; // enlarge matrix when needed\n\n    var size = index.map(function (i) {\n      return i + 1;\n    });\n\n    _fit(this, size, defaultValue); // traverse over the dimensions\n\n\n    var data = this._data;\n\n    for (i = 0, ii = index.length - 1; i < ii; i++) {\n      indexI = index[i];\n      validateIndex(indexI, data.length);\n      data = data[indexI];\n    } // set new value\n\n\n    indexI = index[index.length - 1];\n    validateIndex(indexI, data.length);\n    data[indexI] = value;\n    return this;\n  };\n  /**\n   * Get a submatrix of this matrix\n   * @memberof DenseMatrix\n   * @param {DenseMatrix} matrix\n   * @param {Index} index   Zero-based index\n   * @private\n   */\n\n\n  function _get(matrix, index) {\n    if (!type.isIndex(index)) {\n      throw new TypeError('Invalid index');\n    }\n\n    var isScalar = index.isScalar();\n\n    if (isScalar) {\n      // return a scalar\n      return matrix.get(index.min());\n    } else {\n      // validate dimensions\n      var size = index.size();\n\n      if (size.length !== matrix._size.length) {\n        throw new DimensionError(size.length, matrix._size.length);\n      } // validate if any of the ranges in the index is out of range\n\n\n      var min = index.min();\n      var max = index.max();\n\n      for (var i = 0, ii = matrix._size.length; i < ii; i++) {\n        validateIndex(min[i], matrix._size[i]);\n        validateIndex(max[i], matrix._size[i]);\n      } // retrieve submatrix\n      // TODO: more efficient when creating an empty matrix and setting _data and _size manually\n\n\n      return new DenseMatrix(_getSubmatrix(matrix._data, index, size.length, 0), matrix._datatype);\n    }\n  }\n  /**\n   * Recursively get a submatrix of a multi dimensional matrix.\n   * Index is not checked for correct number or length of dimensions.\n   * @memberof DenseMatrix\n   * @param {Array} data\n   * @param {Index} index\n   * @param {number} dims   Total number of dimensions\n   * @param {number} dim    Current dimension\n   * @return {Array} submatrix\n   * @private\n   */\n\n\n  function _getSubmatrix(data, index, dims, dim) {\n    var last = dim === dims - 1;\n    var range = index.dimension(dim);\n\n    if (last) {\n      return range.map(function (i) {\n        validateIndex(i, data.length);\n        return data[i];\n      }).valueOf();\n    } else {\n      return range.map(function (i) {\n        validateIndex(i, data.length);\n        var child = data[i];\n        return _getSubmatrix(child, index, dims, dim + 1);\n      }).valueOf();\n    }\n  }\n  /**\n   * Replace a submatrix in this matrix\n   * Indexes are zero-based.\n   * @memberof DenseMatrix\n   * @param {DenseMatrix} matrix\n   * @param {Index} index\n   * @param {DenseMatrix | Array | *} submatrix\n   * @param {*} defaultValue          Default value, filled in on new entries when\n   *                                  the matrix is resized.\n   * @return {DenseMatrix} matrix\n   * @private\n   */\n\n\n  function _set(matrix, index, submatrix, defaultValue) {\n    if (!index || index.isIndex !== true) {\n      throw new TypeError('Invalid index');\n    } // get index size and check whether the index contains a single value\n\n\n    var iSize = index.size();\n    var isScalar = index.isScalar(); // calculate the size of the submatrix, and convert it into an Array if needed\n\n    var sSize;\n\n    if (type.isMatrix(submatrix)) {\n      sSize = submatrix.size();\n      submatrix = submatrix.valueOf();\n    } else {\n      sSize = array.size(submatrix);\n    }\n\n    if (isScalar) {\n      // set a scalar\n      // check whether submatrix is a scalar\n      if (sSize.length !== 0) {\n        throw new TypeError('Scalar expected');\n      }\n\n      matrix.set(index.min(), submatrix, defaultValue);\n    } else {\n      // set a submatrix\n      // validate dimensions\n      if (iSize.length < matrix._size.length) {\n        throw new DimensionError(iSize.length, matrix._size.length, '<');\n      }\n\n      if (sSize.length < iSize.length) {\n        // calculate number of missing outer dimensions\n        var i = 0;\n        var outer = 0;\n\n        while (iSize[i] === 1 && sSize[i] === 1) {\n          i++;\n        }\n\n        while (iSize[i] === 1) {\n          outer++;\n          i++;\n        } // unsqueeze both outer and inner dimensions\n\n\n        submatrix = array.unsqueeze(submatrix, iSize.length, outer, sSize);\n      } // check whether the size of the submatrix matches the index size\n\n\n      if (!object.deepEqual(iSize, sSize)) {\n        throw new DimensionError(iSize, sSize, '>');\n      } // enlarge matrix when needed\n\n\n      var size = index.max().map(function (i) {\n        return i + 1;\n      });\n\n      _fit(matrix, size, defaultValue); // insert the sub matrix\n\n\n      var dims = iSize.length;\n      var dim = 0;\n\n      _setSubmatrix(matrix._data, index, submatrix, dims, dim);\n    }\n\n    return matrix;\n  }\n  /**\n   * Replace a submatrix of a multi dimensional matrix.\n   * @memberof DenseMatrix\n   * @param {Array} data\n   * @param {Index} index\n   * @param {Array} submatrix\n   * @param {number} dims   Total number of dimensions\n   * @param {number} dim\n   * @private\n   */\n\n\n  function _setSubmatrix(data, index, submatrix, dims, dim) {\n    var last = dim === dims - 1;\n    var range = index.dimension(dim);\n\n    if (last) {\n      range.forEach(function (dataIndex, subIndex) {\n        validateIndex(dataIndex);\n        data[dataIndex] = submatrix[subIndex[0]];\n      });\n    } else {\n      range.forEach(function (dataIndex, subIndex) {\n        validateIndex(dataIndex);\n\n        _setSubmatrix(data[dataIndex], index, submatrix[subIndex[0]], dims, dim + 1);\n      });\n    }\n  }\n  /**\n   * Resize the matrix to the given size. Returns a copy of the matrix when\n   * `copy=true`, otherwise return the matrix itself (resize in place).\n   *\n   * @memberof DenseMatrix\n   * @param {number[]} size           The new size the matrix should have.\n   * @param {*} [defaultValue=0]      Default value, filled in on new entries.\n   *                                  If not provided, the matrix elements will\n   *                                  be filled with zeros.\n   * @param {boolean} [copy]          Return a resized copy of the matrix\n   *\n   * @return {Matrix}                 The resized matrix\n   */\n\n\n  DenseMatrix.prototype.resize = function (size, defaultValue, copy) {\n    // validate arguments\n    if (!isArray(size)) {\n      throw new TypeError('Array expected');\n    } // matrix to resize\n\n\n    var m = copy ? this.clone() : this; // resize matrix\n\n    return _resize(m, size, defaultValue);\n  };\n\n  function _resize(matrix, size, defaultValue) {\n    // check size\n    if (size.length === 0) {\n      // first value in matrix\n      var v = matrix._data; // go deep\n\n      while (isArray(v)) {\n        v = v[0];\n      }\n\n      return v;\n    } // resize matrix\n\n\n    matrix._size = size.slice(0); // copy the array\n\n    matrix._data = array.resize(matrix._data, matrix._size, defaultValue); // return matrix\n\n    return matrix;\n  }\n  /**\n   * Reshape the matrix to the given size. Returns a copy of the matrix when\n   * `copy=true`, otherwise return the matrix itself (reshape in place).\n   *\n   * NOTE: This might be better suited to copy by default, instead of modifying\n   *       in place. For now, it operates in place to remain consistent with\n   *       resize().\n   *\n   * @memberof DenseMatrix\n   * @param {number[]} size           The new size the matrix should have.\n   * @param {boolean} [copy]          Return a reshaped copy of the matrix\n   *\n   * @return {Matrix}                 The reshaped matrix\n   */\n\n\n  DenseMatrix.prototype.reshape = function (size, copy) {\n    var m = copy ? this.clone() : this;\n    m._data = array.reshape(m._data, size);\n    m._size = size.slice(0);\n    return m;\n  };\n  /**\n   * Enlarge the matrix when it is smaller than given size.\n   * If the matrix is larger or equal sized, nothing is done.\n   * @memberof DenseMatrix\n   * @param {DenseMatrix} matrix           The matrix to be resized\n   * @param {number[]} size\n   * @param {*} defaultValue          Default value, filled in on new entries.\n   * @private\n   */\n\n\n  function _fit(matrix, size, defaultValue) {\n    var // copy the array\n    newSize = matrix._size.slice(0);\n\n    var changed = false; // add dimensions when needed\n\n    while (newSize.length < size.length) {\n      newSize.push(0);\n      changed = true;\n    } // enlarge size when needed\n\n\n    for (var i = 0, ii = size.length; i < ii; i++) {\n      if (size[i] > newSize[i]) {\n        newSize[i] = size[i];\n        changed = true;\n      }\n    }\n\n    if (changed) {\n      // resize only when size is changed\n      _resize(matrix, newSize, defaultValue);\n    }\n  }\n  /**\n   * Create a clone of the matrix\n   * @memberof DenseMatrix\n   * @return {DenseMatrix} clone\n   */\n\n\n  DenseMatrix.prototype.clone = function () {\n    var m = new DenseMatrix({\n      data: object.clone(this._data),\n      size: object.clone(this._size),\n      datatype: this._datatype\n    });\n    return m;\n  };\n  /**\n   * Retrieve the size of the matrix.\n   * @memberof DenseMatrix\n   * @returns {number[]} size\n   */\n\n\n  DenseMatrix.prototype.size = function () {\n    return this._size.slice(0); // return a clone of _size\n  };\n  /**\n   * Create a new matrix with the results of the callback function executed on\n   * each entry of the matrix.\n   * @memberof DenseMatrix\n   * @param {Function} callback   The callback function is invoked with three\n   *                              parameters: the value of the element, the index\n   *                              of the element, and the Matrix being traversed.\n   *\n   * @return {DenseMatrix} matrix\n   */\n\n\n  DenseMatrix.prototype.map = function (callback) {\n    // matrix instance\n    var me = this;\n\n    var recurse = function recurse(value, index) {\n      if (isArray(value)) {\n        return value.map(function (child, i) {\n          return recurse(child, index.concat(i));\n        });\n      } else {\n        return callback(value, index, me);\n      }\n    }; // return dense format\n\n\n    return new DenseMatrix({\n      data: recurse(this._data, []),\n      size: object.clone(this._size),\n      datatype: this._datatype\n    });\n  };\n  /**\n   * Execute a callback function on each entry of the matrix.\n   * @memberof DenseMatrix\n   * @param {Function} callback   The callback function is invoked with three\n   *                              parameters: the value of the element, the index\n   *                              of the element, and the Matrix being traversed.\n   */\n\n\n  DenseMatrix.prototype.forEach = function (callback) {\n    // matrix instance\n    var me = this;\n\n    var recurse = function recurse(value, index) {\n      if (isArray(value)) {\n        value.forEach(function (child, i) {\n          recurse(child, index.concat(i));\n        });\n      } else {\n        callback(value, index, me);\n      }\n    };\n\n    recurse(this._data, []);\n  };\n  /**\n   * Create an Array with a copy of the data of the DenseMatrix\n   * @memberof DenseMatrix\n   * @returns {Array} array\n   */\n\n\n  DenseMatrix.prototype.toArray = function () {\n    return object.clone(this._data);\n  };\n  /**\n   * Get the primitive value of the DenseMatrix: a multidimensional array\n   * @memberof DenseMatrix\n   * @returns {Array} array\n   */\n\n\n  DenseMatrix.prototype.valueOf = function () {\n    return this._data;\n  };\n  /**\n   * Get a string representation of the matrix, with optional formatting options.\n   * @memberof DenseMatrix\n   * @param {Object | number | Function} [options]  Formatting options. See\n   *                                                lib/utils/number:format for a\n   *                                                description of the available\n   *                                                options.\n   * @returns {string} str\n   */\n\n\n  DenseMatrix.prototype.format = function (options) {\n    return string.format(this._data, options);\n  };\n  /**\n   * Get a string representation of the matrix\n   * @memberof DenseMatrix\n   * @returns {string} str\n   */\n\n\n  DenseMatrix.prototype.toString = function () {\n    return string.format(this._data);\n  };\n  /**\n   * Get a JSON representation of the matrix\n   * @memberof DenseMatrix\n   * @returns {Object}\n   */\n\n\n  DenseMatrix.prototype.toJSON = function () {\n    return {\n      mathjs: 'DenseMatrix',\n      data: this._data,\n      size: this._size,\n      datatype: this._datatype\n    };\n  };\n  /**\n   * Get the kth Matrix diagonal.\n   *\n   * @memberof DenseMatrix\n   * @param {number | BigNumber} [k=0]     The kth diagonal where the vector will retrieved.\n   *\n   * @returns {Array}                      The array vector with the diagonal values.\n   */\n\n\n  DenseMatrix.prototype.diagonal = function (k) {\n    // validate k if any\n    if (k) {\n      // convert BigNumber to a number\n      if (type.isBigNumber(k)) {\n        k = k.toNumber();\n      } // is must be an integer\n\n\n      if (!isNumber(k) || !isInteger(k)) {\n        throw new TypeError('The parameter k must be an integer number');\n      }\n    } else {\n      // default value\n      k = 0;\n    }\n\n    var kSuper = k > 0 ? k : 0;\n    var kSub = k < 0 ? -k : 0; // rows & columns\n\n    var rows = this._size[0];\n    var columns = this._size[1]; // number diagonal values\n\n    var n = Math.min(rows - kSub, columns - kSuper); // x is a matrix get diagonal from matrix\n\n    var data = []; // loop rows\n\n    for (var i = 0; i < n; i++) {\n      data[i] = this._data[i + kSub][i + kSuper];\n    } // create DenseMatrix\n\n\n    return new DenseMatrix({\n      data: data,\n      size: [n],\n      datatype: this._datatype\n    });\n  };\n  /**\n   * Create a diagonal matrix.\n   *\n   * @memberof DenseMatrix\n   * @param {Array} size                   The matrix size.\n   * @param {number | Array} value          The values for the diagonal.\n   * @param {number | BigNumber} [k=0]     The kth diagonal where the vector will be filled in.\n   * @param {number} [defaultValue]        The default value for non-diagonal\n   *\n   * @returns {DenseMatrix}\n   */\n\n\n  DenseMatrix.diagonal = function (size, value, k, defaultValue, datatype) {\n    if (!isArray(size)) {\n      throw new TypeError('Array expected, size parameter');\n    }\n\n    if (size.length !== 2) {\n      throw new Error('Only two dimensions matrix are supported');\n    } // map size & validate\n\n\n    size = size.map(function (s) {\n      // check it is a big number\n      if (type.isBigNumber(s)) {\n        // convert it\n        s = s.toNumber();\n      } // validate arguments\n\n\n      if (!isNumber(s) || !isInteger(s) || s < 1) {\n        throw new Error('Size values must be positive integers');\n      }\n\n      return s;\n    }); // validate k if any\n\n    if (k) {\n      // convert BigNumber to a number\n      if (type.isBigNumber(k)) {\n        k = k.toNumber();\n      } // is must be an integer\n\n\n      if (!isNumber(k) || !isInteger(k)) {\n        throw new TypeError('The parameter k must be an integer number');\n      }\n    } else {\n      // default value\n      k = 0;\n    }\n\n    if (defaultValue && isString(datatype)) {\n      // convert defaultValue to the same datatype\n      defaultValue = typed.convert(defaultValue, datatype);\n    }\n\n    var kSuper = k > 0 ? k : 0;\n    var kSub = k < 0 ? -k : 0; // rows and columns\n\n    var rows = size[0];\n    var columns = size[1]; // number of non-zero items\n\n    var n = Math.min(rows - kSub, columns - kSuper); // value extraction function\n\n    var _value; // check value\n\n\n    if (isArray(value)) {\n      // validate array\n      if (value.length !== n) {\n        // number of values in array must be n\n        throw new Error('Invalid value array length');\n      } // define function\n\n\n      _value = function _value(i) {\n        // return value @ i\n        return value[i];\n      };\n    } else if (type.isMatrix(value)) {\n      // matrix size\n      var ms = value.size(); // validate matrix\n\n      if (ms.length !== 1 || ms[0] !== n) {\n        // number of values in array must be n\n        throw new Error('Invalid matrix length');\n      } // define function\n\n\n      _value = function _value(i) {\n        // return value @ i\n        return value.get([i]);\n      };\n    } else {\n      // define function\n      _value = function _value() {\n        // return value\n        return value;\n      };\n    } // discover default value if needed\n\n\n    if (!defaultValue) {\n      // check first value in array\n      defaultValue = type.isBigNumber(_value(0)) ? new type.BigNumber(0) : 0;\n    } // empty array\n\n\n    var data = []; // check we need to resize array\n\n    if (size.length > 0) {\n      // resize array\n      data = array.resize(data, size, defaultValue); // fill diagonal\n\n      for (var d = 0; d < n; d++) {\n        data[d + kSub][d + kSuper] = _value(d);\n      }\n    } // create DenseMatrix\n\n\n    return new DenseMatrix({\n      data: data,\n      size: [rows, columns]\n    });\n  };\n  /**\n   * Generate a matrix from a JSON object\n   * @memberof DenseMatrix\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"DenseMatrix\", data: [], size: []}`,\n   *                       where mathjs is optional\n   * @returns {DenseMatrix}\n   */\n\n\n  DenseMatrix.fromJSON = function (json) {\n    return new DenseMatrix(json);\n  };\n  /**\n   * Swap rows i and j in Matrix.\n   *\n   * @memberof DenseMatrix\n   * @param {number} i       Matrix row index 1\n   * @param {number} j       Matrix row index 2\n   *\n   * @return {Matrix}        The matrix reference\n   */\n\n\n  DenseMatrix.prototype.swapRows = function (i, j) {\n    // check index\n    if (!isNumber(i) || !isInteger(i) || !isNumber(j) || !isInteger(j)) {\n      throw new Error('Row index must be positive integers');\n    } // check dimensions\n\n\n    if (this._size.length !== 2) {\n      throw new Error('Only two dimensional matrix is supported');\n    } // validate index\n\n\n    validateIndex(i, this._size[0]);\n    validateIndex(j, this._size[0]); // swap rows\n\n    DenseMatrix._swapRows(i, j, this._data); // return current instance\n\n\n    return this;\n  };\n  /**\n   * Swap rows i and j in Dense Matrix data structure.\n   *\n   * @param {number} i       Matrix row index 1\n   * @param {number} j       Matrix row index 2\n   */\n\n\n  DenseMatrix._swapRows = function (i, j, data) {\n    // swap values i <-> j\n    var vi = data[i];\n    data[i] = data[j];\n    data[j] = vi;\n  };\n  /**\n   * Preprocess data, which can be an Array or DenseMatrix with nested Arrays and\n   * Matrices. Replaces all nested Matrices with Arrays\n   * @memberof DenseMatrix\n   * @param {Array} data\n   * @return {Array} data\n   */\n\n\n  function preprocess(data) {\n    for (var i = 0, ii = data.length; i < ii; i++) {\n      var elem = data[i];\n\n      if (isArray(elem)) {\n        data[i] = preprocess(elem);\n      } else if (elem && elem.isMatrix === true) {\n        data[i] = preprocess(elem.valueOf());\n      }\n    }\n\n    return data;\n  } // register this type in the base class Matrix\n\n\n  type.Matrix._storage.dense = DenseMatrix;\n  type.Matrix._storage['default'] = DenseMatrix; // exports\n\n  return DenseMatrix;\n}\n\nexports.name = 'DenseMatrix';\nexports.path = 'type';\nexports.factory = factory;\nexports.lazy = false; // no lazy loading, as we alter type.Matrix._storage","'use strict';\n\nvar array = require('../../utils/array');\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Create a 2-dimensional identity matrix with size m x n or n x n.\n   * The matrix has ones on the diagonal and zeros elsewhere.\n   *\n   * Syntax:\n   *\n   *    math.identity(n)\n   *    math.identity(n, format)\n   *    math.identity(m, n)\n   *    math.identity(m, n, format)\n   *    math.identity([m, n])\n   *    math.identity([m, n], format)\n   *\n   * Examples:\n   *\n   *    math.identity(3)                    // returns [[1, 0, 0], [0, 1, 0], [0, 0, 1]]\n   *    math.identity(3, 2)                 // returns [[1, 0], [0, 1], [0, 0]]\n   *\n   *    const A = [[1, 2, 3], [4, 5, 6]]\n   *    math.identity(math.size(A))         // returns [[1, 0, 0], [0, 1, 0]]\n   *\n   * See also:\n   *\n   *    diag, ones, zeros, size, range\n   *\n   * @param {...number | Matrix | Array} size   The size for the matrix\n   * @param {string} [format]                   The Matrix storage format\n   *\n   * @return {Matrix | Array | number} A matrix with ones on the diagonal.\n   */\n\n  var identity = typed('identity', {\n    '': function _() {\n      return config.matrix === 'Matrix' ? matrix([]) : [];\n    },\n    'string': function string(format) {\n      return matrix(format);\n    },\n    'number | BigNumber': function numberBigNumber(rows) {\n      return _identity(rows, rows, config.matrix === 'Matrix' ? 'default' : undefined);\n    },\n    'number | BigNumber, string': function numberBigNumberString(rows, format) {\n      return _identity(rows, rows, format);\n    },\n    'number | BigNumber, number | BigNumber': function numberBigNumberNumberBigNumber(rows, cols) {\n      return _identity(rows, cols, config.matrix === 'Matrix' ? 'default' : undefined);\n    },\n    'number | BigNumber, number | BigNumber, string': function numberBigNumberNumberBigNumberString(rows, cols, format) {\n      return _identity(rows, cols, format);\n    },\n    'Array': function Array(size) {\n      return _identityVector(size);\n    },\n    'Array, string': function ArrayString(size, format) {\n      return _identityVector(size, format);\n    },\n    'Matrix': function Matrix(size) {\n      return _identityVector(size.valueOf(), size.storage());\n    },\n    'Matrix, string': function MatrixString(size, format) {\n      return _identityVector(size.valueOf(), format);\n    }\n  });\n  identity.toTex = undefined; // use default template\n\n  return identity;\n\n  function _identityVector(size, format) {\n    switch (size.length) {\n      case 0:\n        return format ? matrix(format) : [];\n\n      case 1:\n        return _identity(size[0], size[0], format);\n\n      case 2:\n        return _identity(size[0], size[1], format);\n\n      default:\n        throw new Error('Vector containing two values expected');\n    }\n  }\n  /**\n   * Create an identity matrix\n   * @param {number | BigNumber} rows\n   * @param {number | BigNumber} cols\n   * @param {string} [format]\n   * @returns {Matrix}\n   * @private\n   */\n\n\n  function _identity(rows, cols, format) {\n    // BigNumber constructor with the right precision\n    var Big = type.isBigNumber(rows) || type.isBigNumber(cols) ? type.BigNumber : null;\n    if (type.isBigNumber(rows)) rows = rows.toNumber();\n    if (type.isBigNumber(cols)) cols = cols.toNumber();\n\n    if (!isInteger(rows) || rows < 1) {\n      throw new Error('Parameters in function identity must be positive integers');\n    }\n\n    if (!isInteger(cols) || cols < 1) {\n      throw new Error('Parameters in function identity must be positive integers');\n    }\n\n    var one = Big ? new type.BigNumber(1) : 1;\n    var defaultValue = Big ? new Big(0) : 0;\n    var size = [rows, cols]; // check we need to return a matrix\n\n    if (format) {\n      // get matrix storage constructor\n      var F = type.Matrix.storage(format); // create diagonal matrix (use optimized implementation for storage format)\n\n      return F.diagonal(size, one, 0, defaultValue);\n    } // create and resize array\n\n\n    var res = array.resize([], size, defaultValue); // fill in ones on the diagonal\n\n    var minimum = rows < cols ? rows : cols; // fill diagonal\n\n    for (var d = 0; d < minimum; d++) {\n      res[d][d] = one;\n    }\n\n    return res;\n  }\n}\n\nexports.name = 'identity';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var equalScalar = load(require('./equalScalar'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm07 = load(require('../../type/matrix/utils/algorithm07'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n\n  var latex = require('../../utils/latex');\n  /**\n   * Test whether two values are equal.\n   *\n   * The function tests whether the relative difference between x and y is\n   * smaller than the configured epsilon. The function cannot be used to\n   * compare values smaller than approximately 2.22e-16.\n   *\n   * For matrices, the function is evaluated element wise.\n   * In case of complex numbers, x.re must equal y.re, and x.im must equal y.im.\n   *\n   * Values `null` and `undefined` are compared strictly, thus `null` is only\n   * equal to `null` and nothing else, and `undefined` is only equal to\n   * `undefined` and nothing else. Strings are compared by their numerical value.\n   *\n   * Syntax:\n   *\n   *    math.equal(x, y)\n   *\n   * Examples:\n   *\n   *    math.equal(2 + 2, 3)         // returns false\n   *    math.equal(2 + 2, 4)         // returns true\n   *\n   *    const a = math.unit('50 cm')\n   *    const b = math.unit('5 m')\n   *    math.equal(a, b)             // returns true\n   *\n   *    const c = [2, 5, 1]\n   *    const d = [2, 7, 1]\n   *\n   *    math.equal(c, d)             // returns [true, false, true]\n   *    math.deepEqual(c, d)         // returns false\n   *\n   *    math.equal(\"1000\", \"1e3\")    // returns true\n   *    math.equal(0, null)          // returns false\n   *\n   * See also:\n   *\n   *    unequal, smaller, smallerEq, larger, largerEq, compare, deepEqual, equalText\n   *\n   * @param  {number | BigNumber | boolean | Complex | Unit | string | Array | Matrix} x First value to compare\n   * @param  {number | BigNumber | boolean | Complex | Unit | string | Array | Matrix} y Second value to compare\n   * @return {boolean | Array | Matrix} Returns true when the compared values are equal, else returns false\n   */\n\n\n  var equal = typed('equal', {\n    'any, any': function anyAny(x, y) {\n      // strict equality for null and undefined?\n      if (x === null) {\n        return y === null;\n      }\n\n      if (y === null) {\n        return x === null;\n      }\n\n      if (x === undefined) {\n        return y === undefined;\n      }\n\n      if (y === undefined) {\n        return x === undefined;\n      }\n\n      return equalScalar(x, y);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm07(x, y, equalScalar);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, equalScalar, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, equalScalar, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, equalScalar);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return equal(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return equal(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return equal(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm12(x, y, equalScalar, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, equalScalar, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, equalScalar, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, equalScalar, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, equalScalar, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, equalScalar, true).valueOf();\n    }\n  });\n  equal.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['equal'], \"${args[1]}\\\\right)\")\n  };\n  return equal;\n}\n\nexports.name = 'equal';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Test whether a value is an numeric value.\n   *\n   * The function is evaluated element-wise in case of Array or Matrix input.\n   *\n   * Syntax:\n   *\n   *     math.isNumeric(x)\n   *\n   * Examples:\n   *\n   *    math.isNumeric(2)                     // returns true\n   *    math.isNumeric(0)                     // returns true\n   *    math.isNumeric(math.bignumber(500))   // returns true\n   *    math.isNumeric(math.fraction(4))      // returns true\n   *    math.isNumeric(math.complex('2-4i')   // returns false\n   *    math.isNumeric('3')                   // returns false\n   *    math.isNumeric([2.3, 'foo', false])   // returns [true, false, true]\n   *\n   * See also:\n   *\n   *    isZero, isPositive, isNegative, isInteger\n   *\n   * @param {*} x       Value to be tested\n   * @return {boolean}  Returns true when `x` is a `number`, `BigNumber`,\n   *                    `Fraction`, or `boolean`. Returns false for other types.\n   *                    Throws an error in case of unknown types.\n   */\n  var isNumeric = typed('isNumeric', {\n    'number | BigNumber | Fraction | boolean': function numberBigNumberFractionBoolean() {\n      return true;\n    },\n    'Complex | Unit | string | null | undefined | Node': function ComplexUnitStringNullUndefinedNode() {\n      return false;\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, isNumeric);\n    }\n  });\n  return isNumeric;\n}\n\nexports.name = 'isNumeric';\nexports.factory = factory;","'use strict'; // list of identifiers of nodes in order of their precedence\n// also contains information about left/right associativity\n// and which other operator the operator is associative with\n// Example:\n// addition is associative with addition and subtraction, because:\n// (a+b)+c=a+(b+c)\n// (a+b)-c=a+(b-c)\n//\n// postfix operators are left associative, prefix operators\n// are right associative\n//\n// It's also possible to set the following properties:\n// latexParens: if set to false, this node doesn't need to be enclosed\n//              in parentheses when using LaTeX\n// latexLeftParens: if set to false, this !OperatorNode's!\n//                  left argument doesn't need to be enclosed\n//                  in parentheses\n// latexRightParens: the same for the right argument\n\nvar properties = [{\n  // assignment\n  'AssignmentNode': {},\n  'FunctionAssignmentNode': {}\n}, {\n  // conditional expression\n  'ConditionalNode': {\n    latexLeftParens: false,\n    latexRightParens: false,\n    latexParens: false // conditionals don't need parentheses in LaTeX because\n    // they are 2 dimensional\n\n  }\n}, {\n  // logical or\n  'OperatorNode:or': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // logical xor\n  'OperatorNode:xor': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // logical and\n  'OperatorNode:and': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // bitwise or\n  'OperatorNode:bitOr': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // bitwise xor\n  'OperatorNode:bitXor': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // bitwise and\n  'OperatorNode:bitAnd': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // relational operators\n  'OperatorNode:equal': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:unequal': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:smaller': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:larger': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:smallerEq': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:largerEq': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'RelationalNode': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // bitshift operators\n  'OperatorNode:leftShift': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:rightArithShift': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:rightLogShift': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // unit conversion\n  'OperatorNode:to': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // range\n  'RangeNode': {}\n}, {\n  // addition, subtraction\n  'OperatorNode:add': {\n    associativity: 'left',\n    associativeWith: ['OperatorNode:add', 'OperatorNode:subtract']\n  },\n  'OperatorNode:subtract': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // multiply, divide, modulus\n  'OperatorNode:multiply': {\n    associativity: 'left',\n    associativeWith: ['OperatorNode:multiply', 'OperatorNode:divide', 'Operator:dotMultiply', 'Operator:dotDivide']\n  },\n  'OperatorNode:divide': {\n    associativity: 'left',\n    associativeWith: [],\n    latexLeftParens: false,\n    latexRightParens: false,\n    latexParens: false // fractions don't require parentheses because\n    // they're 2 dimensional, so parens aren't needed\n    // in LaTeX\n\n  },\n  'OperatorNode:dotMultiply': {\n    associativity: 'left',\n    associativeWith: ['OperatorNode:multiply', 'OperatorNode:divide', 'OperatorNode:dotMultiply', 'OperatorNode:doDivide']\n  },\n  'OperatorNode:dotDivide': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:mod': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // unary prefix operators\n  'OperatorNode:unaryPlus': {\n    associativity: 'right'\n  },\n  'OperatorNode:unaryMinus': {\n    associativity: 'right'\n  },\n  'OperatorNode:bitNot': {\n    associativity: 'right'\n  },\n  'OperatorNode:not': {\n    associativity: 'right'\n  }\n}, {\n  // exponentiation\n  'OperatorNode:pow': {\n    associativity: 'right',\n    associativeWith: [],\n    latexRightParens: false // the exponent doesn't need parentheses in\n    // LaTeX because it's 2 dimensional\n    // (it's on top)\n\n  },\n  'OperatorNode:dotPow': {\n    associativity: 'right',\n    associativeWith: []\n  }\n}, {\n  // factorial\n  'OperatorNode:factorial': {\n    associativity: 'left'\n  }\n}, {\n  // matrix transpose\n  'OperatorNode:transpose': {\n    associativity: 'left'\n  }\n}];\n/**\n * Get the precedence of a Node.\n * Higher number for higher precedence, starting with 0.\n * Returns null if the precedence is undefined.\n *\n * @param {Node}\n * @param {string} parenthesis\n * @return {number|null}\n */\n\nfunction getPrecedence(_node, parenthesis) {\n  var node = _node;\n\n  if (parenthesis !== 'keep') {\n    // ParenthesisNodes are only ignored when not in 'keep' mode\n    node = _node.getContent();\n  }\n\n  var identifier = node.getIdentifier();\n\n  for (var i = 0; i < properties.length; i++) {\n    if (identifier in properties[i]) {\n      return i;\n    }\n  }\n\n  return null;\n}\n/**\n * Get the associativity of an operator (left or right).\n * Returns a string containing 'left' or 'right' or null if\n * the associativity is not defined.\n *\n * @param {Node}\n * @param {string} parenthesis\n * @return {string|null}\n * @throws {Error}\n */\n\n\nfunction getAssociativity(_node, parenthesis) {\n  var node = _node;\n\n  if (parenthesis !== 'keep') {\n    // ParenthesisNodes are only ignored when not in 'keep' mode\n    node = _node.getContent();\n  }\n\n  var identifier = node.getIdentifier();\n  var index = getPrecedence(node, parenthesis);\n\n  if (index === null) {\n    // node isn't in the list\n    return null;\n  }\n\n  var property = properties[index][identifier];\n\n  if (property.hasOwnProperty('associativity')) {\n    if (property.associativity === 'left') {\n      return 'left';\n    }\n\n    if (property.associativity === 'right') {\n      return 'right';\n    } // associativity is invalid\n\n\n    throw Error('\\'' + identifier + '\\' has the invalid associativity \\'' + property.associativity + '\\'.');\n  } // associativity is undefined\n\n\n  return null;\n}\n/**\n * Check if an operator is associative with another operator.\n * Returns either true or false or null if not defined.\n *\n * @param {Node} nodeA\n * @param {Node} nodeB\n * @param {string} parenthesis\n * @return {bool|null}\n */\n\n\nfunction isAssociativeWith(nodeA, nodeB, parenthesis) {\n  // ParenthesisNodes are only ignored when not in 'keep' mode\n  var a = parenthesis !== 'keep' ? nodeA.getContent() : nodeA;\n  var b = parenthesis !== 'keep' ? nodeA.getContent() : nodeB;\n  var identifierA = a.getIdentifier();\n  var identifierB = b.getIdentifier();\n  var index = getPrecedence(a, parenthesis);\n\n  if (index === null) {\n    // node isn't in the list\n    return null;\n  }\n\n  var property = properties[index][identifierA];\n\n  if (property.hasOwnProperty('associativeWith') && property.associativeWith instanceof Array) {\n    for (var i = 0; i < property.associativeWith.length; i++) {\n      if (property.associativeWith[i] === identifierB) {\n        return true;\n      }\n    }\n\n    return false;\n  } // associativeWith is not defined\n\n\n  return null;\n}\n\nmodule.exports.properties = properties;\nmodule.exports.getPrecedence = getPrecedence;\nmodule.exports.getAssociativity = getAssociativity;\nmodule.exports.isAssociativeWith = isAssociativeWith;","'use strict';\n\nvar latex = require('../../utils/latex');\n\nvar escape = require('../../utils/string').escape;\n\nvar hasOwnProperty = require('../../utils/object').hasOwnProperty;\n\nvar getSafeProperty = require('../../utils/customs').getSafeProperty;\n\nfunction factory(type, config, load, typed, math) {\n  var Node = load(require('./Node'));\n  /**\n   * Check whether some name is a valueless unit like \"inch\".\n   * @param {string} name\n   * @return {boolean}\n   */\n\n  function isValuelessUnit(name) {\n    return type.Unit ? type.Unit.isValuelessUnit(name) : false;\n  }\n  /**\n   * @constructor SymbolNode\n   * @extends {Node}\n   * A symbol node can hold and resolve a symbol\n   * @param {string} name\n   * @extends {Node}\n   */\n\n\n  function SymbolNode(name) {\n    if (!(this instanceof SymbolNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    } // validate input\n\n\n    if (typeof name !== 'string') throw new TypeError('String expected for parameter \"name\"');\n    this.name = name;\n  }\n\n  SymbolNode.prototype = new Node();\n  SymbolNode.prototype.type = 'SymbolNode';\n  SymbolNode.prototype.isSymbolNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  SymbolNode.prototype._compile = function (math, argNames) {\n    var name = this.name;\n\n    if (hasOwnProperty(argNames, name)) {\n      // this is a FunctionAssignment argument\n      // (like an x when inside the expression of a function assignment `f(x) = ...`)\n      return function (scope, args, context) {\n        return args[name];\n      };\n    } else if (name in math) {\n      return function (scope, args, context) {\n        return name in scope ? getSafeProperty(scope, name) : getSafeProperty(math, name);\n      };\n    } else {\n      var isUnit = isValuelessUnit(name);\n      return function (scope, args, context) {\n        return name in scope ? getSafeProperty(scope, name) : isUnit ? new type.Unit(null, name) : undef(name);\n      };\n    }\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  SymbolNode.prototype.forEach = function (callback) {} // nothing to do, we don't have childs\n\n  /**\n   * Create a new SymbolNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node) : Node} callback\n   * @returns {SymbolNode} Returns a clone of the node\n   */\n  ;\n\n  SymbolNode.prototype.map = function (callback) {\n    return this.clone();\n  };\n  /**\n   * Throws an error 'Undefined symbol {name}'\n   * @param {string} name\n   */\n\n\n  function undef(name) {\n    throw new Error('Undefined symbol ' + name);\n  }\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {SymbolNode}\n   */\n\n\n  SymbolNode.prototype.clone = function () {\n    return new SymbolNode(this.name);\n  };\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  SymbolNode.prototype._toString = function (options) {\n    return this.name;\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  SymbolNode.prototype.toHTML = function (options) {\n    var name = escape(this.name);\n\n    if (name === 'true' || name === 'false') {\n      return '<span class=\"math-symbol math-boolean\">' + name + '</span>';\n    } else if (name === 'i') {\n      return '<span class=\"math-symbol math-imaginary-symbol\">' + name + '</span>';\n    } else if (name === 'Infinity') {\n      return '<span class=\"math-symbol math-infinity-symbol\">' + name + '</span>';\n    } else if (name === 'NaN') {\n      return '<span class=\"math-symbol math-nan-symbol\">' + name + '</span>';\n    } else if (name === 'null') {\n      return '<span class=\"math-symbol math-null-symbol\">' + name + '</span>';\n    } else if (name === 'undefined') {\n      return '<span class=\"math-symbol math-undefined-symbol\">' + name + '</span>';\n    }\n\n    return '<span class=\"math-symbol\">' + name + '</span>';\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  SymbolNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'SymbolNode',\n      name: this.name\n    };\n  };\n  /**\n   * Instantiate a SymbolNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"SymbolNode\", name: \"x\"}`,\n   *                       where mathjs is optional\n   * @returns {SymbolNode}\n   */\n\n\n  SymbolNode.fromJSON = function (json) {\n    return new SymbolNode(json.name);\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  SymbolNode.prototype._toTex = function (options) {\n    var isUnit = false;\n\n    if (typeof math[this.name] === 'undefined' && isValuelessUnit(this.name)) {\n      isUnit = true;\n    }\n\n    var symbol = latex.toSymbol(this.name, isUnit);\n\n    if (symbol[0] === '\\\\') {\n      // no space needed if the symbol starts with '\\'\n      return symbol;\n    } // the space prevents symbols from breaking stuff like '\\cdot' if it's written right before the symbol\n\n\n    return ' ' + symbol;\n  };\n\n  return SymbolNode;\n}\n\nexports.name = 'SymbolNode';\nexports.path = 'expression.node';\nexports.math = true; // request access to the math namespace as 5th argument of the factory function\n\nexports.factory = factory;","'use strict';\n\nvar nearlyEqual = require('../../utils/number').nearlyEqual;\n\nvar bigNearlyEqual = require('../../utils/bignumber/nearlyEqual');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm05 = load(require('../../type/matrix/utils/algorithm05'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.\n   *\n   * x and y are considered equal when the relative difference between x and y\n   * is smaller than the configured epsilon. The function cannot be used to\n   * compare values smaller than approximately 2.22e-16.\n   *\n   * For matrices, the function is evaluated element wise.\n   * Strings are compared by their numerical value.\n   *\n   * Syntax:\n   *\n   *    math.compare(x, y)\n   *\n   * Examples:\n   *\n   *    math.compare(6, 1)           // returns 1\n   *    math.compare(2, 3)           // returns -1\n   *    math.compare(7, 7)           // returns 0\n   *    math.compare('10', '2')      // returns 1\n   *    math.compare('1000', '1e3')  // returns 0\n   *\n   *    const a = math.unit('5 cm')\n   *    const b = math.unit('40 mm')\n   *    math.compare(a, b)           // returns 1\n   *\n   *    math.compare(2, [1, 2, 3])   // returns [1, 0, -1]\n   *\n   * See also:\n   *\n   *    equal, unequal, smaller, smallerEq, larger, largerEq, compareNatural, compareText\n   *\n   * @param  {number | BigNumber | Fraction | Unit | string | Array | Matrix} x First value to compare\n   * @param  {number | BigNumber | Fraction | Unit | string | Array | Matrix} y Second value to compare\n   * @return {number | BigNumber | Fraction | Array | Matrix} Returns the result of the comparison:\n   *                                                          1 when x > y, -1 when x < y, and 0 when x == y.\n   */\n\n  var compare = typed('compare', {\n    'boolean, boolean': function booleanBoolean(x, y) {\n      return x === y ? 0 : x > y ? 1 : -1;\n    },\n    'number, number': function numberNumber(x, y) {\n      return x === y || nearlyEqual(x, y, config.epsilon) ? 0 : x > y ? 1 : -1;\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return x.eq(y) || bigNearlyEqual(x, y, config.epsilon) ? new type.BigNumber(0) : new type.BigNumber(x.cmp(y));\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return new type.Fraction(x.compare(y));\n    },\n    'Complex, Complex': function ComplexComplex() {\n      throw new TypeError('No ordering relation is defined for complex numbers');\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      if (!x.equalBase(y)) {\n        throw new Error('Cannot compare units with different base');\n      }\n\n      return compare(x.value, y.value);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm05(x, y, compare);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, compare, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, compare, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, compare);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return compare(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return compare(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return compare(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm12(x, y, compare, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, compare, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, compare, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, compare, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, compare, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, compare, true).valueOf();\n    }\n  });\n  compare.toTex = undefined; // use default template\n\n  return compare;\n}\n\nexports.name = 'compare';\nexports.factory = factory;","\"use strict\";\n\nvar __awaiter = this && this.__awaiter || function (thisArg, _arguments, P, generator) {\n  return new (P || (P = Promise))(function (resolve, reject) {\n    function fulfilled(value) {\n      try {\n        step(generator.next(value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function rejected(value) {\n      try {\n        step(generator[\"throw\"](value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function step(result) {\n      result.done ? resolve(result.value) : new P(function (resolve) {\n        resolve(result.value);\n      }).then(fulfilled, rejected);\n    }\n\n    step((generator = generator.apply(thisArg, _arguments || [])).next());\n  });\n};\n\nvar __generator = this && this.__generator || function (thisArg, body) {\n  var _ = {\n    label: 0,\n    sent: function sent() {\n      if (t[0] & 1) throw t[1];\n      return t[1];\n    },\n    trys: [],\n    ops: []\n  },\n      f,\n      y,\n      t,\n      g;\n  return g = {\n    next: verb(0),\n    \"throw\": verb(1),\n    \"return\": verb(2)\n  }, typeof Symbol === \"function\" && (g[Symbol.iterator] = function () {\n    return this;\n  }), g;\n\n  function verb(n) {\n    return function (v) {\n      return step([n, v]);\n    };\n  }\n\n  function step(op) {\n    if (f) throw new TypeError(\"Generator is already executing.\");\n\n    while (_) {\n      try {\n        if (f = 1, y && (t = y[op[0] & 2 ? \"return\" : op[0] ? \"throw\" : \"next\"]) && !(t = t.call(y, op[1])).done) return t;\n        if (y = 0, t) op = [0, t.value];\n\n        switch (op[0]) {\n          case 0:\n          case 1:\n            t = op;\n            break;\n\n          case 4:\n            _.label++;\n            return {\n              value: op[1],\n              done: false\n            };\n\n          case 5:\n            _.label++;\n            y = op[1];\n            op = [0];\n            continue;\n\n          case 7:\n            op = _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n\n          default:\n            if (!(t = _.trys, t = t.length > 0 && t[t.length - 1]) && (op[0] === 6 || op[0] === 2)) {\n              _ = 0;\n              continue;\n            }\n\n            if (op[0] === 3 && (!t || op[1] > t[0] && op[1] < t[3])) {\n              _.label = op[1];\n              break;\n            }\n\n            if (op[0] === 6 && _.label < t[1]) {\n              _.label = t[1];\n              t = op;\n              break;\n            }\n\n            if (t && _.label < t[2]) {\n              _.label = t[2];\n\n              _.ops.push(op);\n\n              break;\n            }\n\n            if (t[2]) _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n        }\n\n        op = body.call(thisArg, _);\n      } catch (e) {\n        op = [6, e];\n        y = 0;\n      } finally {\n        f = t = 0;\n      }\n    }\n\n    if (op[0] & 5) throw op[1];\n    return {\n      value: op[0] ? op[1] : void 0,\n      done: true\n    };\n  }\n};\n\nObject.defineProperty(exports, \"__esModule\", {\n  value: true\n});\n\nvar match_1 = require(\"./match\");\n\nexports.match = match_1.match;\nvar dom;\n\n(function (dom) {\n  /** Serverside safe document.location */\n  var dloc = typeof document !== 'undefined' ? document.location : {\n    hash: ''\n  };\n  dom.html5Base = null;\n\n  function html5ModeEnabled() {\n    return dom.html5Base !== null;\n  }\n\n  dom.html5ModeEnabled = html5ModeEnabled;\n\n  function readLocation() {\n    if (dom.html5Base == null) {\n      var hash = // When url shows '#'\n      // - Non-IE browsers return ''\n      // - IE returns '#'\n      dloc.hash === '' || dloc.hash === '#' ? '/' : dloc.hash.substring(1);\n      return hash;\n    } else {\n      return window.location.pathname.substr(dom.html5Base.length);\n    }\n  }\n\n  dom.readLocation = readLocation;\n  /**\n   * Used to track the last value set.\n   * if it does not change we ignore events\n   */\n\n  var oldLocation = readLocation();\n\n  function setLocation(location, replace) {\n    if (readLocation() === location) return;\n\n    if (typeof history !== 'undefined' && history.pushState) {\n      if (replace) {\n        history.replaceState({}, document.title, location);\n      } else {\n        history.pushState({}, document.title, location);\n      }\n      /**\n       * Just calling history.pushState() or history.replaceState() won't trigger a popstate event\n       */\n\n\n      fire();\n    } else {\n      dloc.hash = location;\n    }\n\n    oldLocation = readLocation();\n  }\n\n  dom.setLocation = setLocation;\n  var listeners = [];\n\n  var fire = function fire() {\n    var newLocation = readLocation();\n    if (oldLocation === newLocation) return;\n    listeners.forEach(function (l) {\n      return l({\n        oldLocation: oldLocation,\n        newLocation: newLocation\n      });\n    });\n    oldLocation = newLocation;\n  };\n\n  if (typeof window !== 'undefined') {\n    window.addEventListener('hashchange', fire, false);\n    window.addEventListener('popstate', fire);\n  }\n\n  function listen(cb) {\n    listeners.push(cb);\n    return function () {\n      listeners = listeners.filter(function (l) {\n        return l !== cb;\n      });\n    };\n  }\n\n  dom.listen = listen;\n})(dom || (dom = {}));\n\nvar Router = function () {\n  function Router(routes) {\n    var _this = this;\n\n    this.routes = routes;\n\n    this.trigger = function (_a) {\n      var oldLocation = _a.oldLocation,\n          newLocation = _a.newLocation;\n      return __awaiter(_this, void 0, void 0, function () {\n        var oldPath, newPath, _i, _a, config, pattern, result, enterMatch, params, result, result;\n\n        return __generator(this, function (_b) {\n          switch (_b.label) {\n            case 0:\n              oldPath = oldLocation;\n              newPath = newLocation;\n              _i = 0, _a = this.routes;\n              _b.label = 1;\n\n            case 1:\n              if (!(_i < _a.length)) return [3\n              /*break*/\n              , 8];\n              config = _a[_i];\n              pattern = config.$;\n              if (!match_1.match({\n                pattern: pattern,\n                path: oldPath\n              })) return [3\n              /*break*/\n              , 3];\n              if (!config.beforeLeave) return [3\n              /*break*/\n              , 3];\n              return [4\n              /*yield*/\n              , config.beforeLeave({\n                oldPath: oldPath,\n                newPath: newPath\n              })];\n\n            case 2:\n              result = _b.sent();\n\n              if (result == null) {\n                /** nothing to do */\n              } else if (typeof result === 'boolean') {\n                if (result === false) {\n                  dom.setLocation(oldLocation, true);\n                  return [2\n                  /*return*/\n                  ];\n                } else {\n                    /** nothing to do */\n                  }\n              } else if (result.redirect) {\n                navigate(result.redirect, result.replace);\n                return [2\n                /*return*/\n                ];\n              }\n\n              _b.label = 3;\n\n            case 3:\n              enterMatch = match_1.match({\n                pattern: pattern,\n                path: newPath\n              });\n              if (!enterMatch) return [3\n              /*break*/\n              , 7];\n\n              if (enterMatch.remainingPath) {\n                return [3\n                /*break*/\n                , 7];\n              }\n\n              params = enterMatch.params;\n              if (!config.beforeEnter) return [3\n              /*break*/\n              , 5];\n              return [4\n              /*yield*/\n              , config.beforeEnter({\n                oldPath: oldPath,\n                newPath: newPath,\n                params: params\n              })];\n\n            case 4:\n              result = _b.sent();\n\n              if (result == null) {\n                /** nothing to do */\n              } else if (result.redirect) {\n                navigate(result.redirect, result.replace);\n                return [2\n                /*return*/\n                ];\n              }\n\n              _b.label = 5;\n\n            case 5:\n              if (!config.enter) return [3\n              /*break*/\n              , 7];\n              return [4\n              /*yield*/\n              , config.enter({\n                oldPath: oldPath,\n                newPath: newPath,\n                params: params\n              })];\n\n            case 6:\n              result = _b.sent();\n              return [2\n              /*return*/\n              ];\n\n            case 7:\n              _i++;\n              return [3\n              /*break*/\n              , 1];\n\n            case 8:\n              return [2\n              /*return*/\n              ];\n          }\n        });\n      });\n    };\n\n    dom.listen(this.trigger);\n  }\n  /**\n   * Runs through the config and triggers an routes that matches the current path\n   */\n\n\n  Router.prototype.init = function () {\n    return this.trigger({\n      oldLocation: '',\n      newLocation: dom.readLocation()\n    });\n  };\n  /**\n   * Enables pure html5 routing.\n   * NOTE:\n   * - Server must support returning the same page on route triggers.\n   * - Your browser targets support pushState: https://caniuse.com/#search=pushstate\n   */\n\n\n  Router.prototype.enableHtml5Routing = function (baseUrl) {\n    if (baseUrl === void 0) {\n      baseUrl = '';\n    }\n\n    dom.html5Base = baseUrl;\n    return this;\n  };\n\n  return Router;\n}();\n\nexports.Router = Router;\n/**\n * Navigates to the given path\n */\n\nfunction navigate(path, replace) {\n  dom.html5ModeEnabled() ? dom.setLocation(\"\" + dom.html5Base + path, !!replace) : dom.setLocation(\"#\" + path, !!replace);\n}\n\nexports.navigate = navigate;\n/**\n * Gives you a link that when triggered, navigates to the given path\n */\n\nfunction link(path) {\n  return dom.html5ModeEnabled() ? \"\" + dom.html5Base + path : \"./#\" + path;\n}\n\nexports.link = link;\n/**\n * Returns true if a modifier key is down.\n */\n\nvar isModifiedEvent = function isModifiedEvent(event) {\n  return Boolean(event.metaKey || event.altKey || event.ctrlKey || event.shiftKey);\n};\n/**\n * Suppresses browser default `click` behaviour on link\n */\n\n\nexports.html5LinkOnClick = function (_a) {\n  var event = _a.event,\n      _b = _a.replace,\n      replace = _b === void 0 ? false : _b;\n  var linkElement = event.target;\n\n  if (!event.defaultPrevented && event.button === 0 && !linkElement.target && !isModifiedEvent(event) // ignore clicks with modifier keys\n  ) {\n      event.preventDefault();\n      var location_1 = linkElement.href;\n      dom.setLocation(location_1, !!replace);\n    }\n};","export default function _objectWithoutPropertiesLoose(source, excluded) {\n  if (source == null) return {};\n  var target = {};\n  var sourceKeys = Object.keys(source);\n  var key, i;\n\n  for (i = 0; i < sourceKeys.length; i++) {\n    key = sourceKeys[i];\n    if (excluded.indexOf(key) >= 0) continue;\n    target[key] = source[key];\n  }\n\n  return target;\n}","'use strict';\n/**\n * Create a syntax error with the message:\n *     'Wrong number of arguments in function <fn> (<count> provided, <min>-<max> expected)'\n * @param {string} fn     Function name\n * @param {number} count  Actual argument count\n * @param {number} min    Minimum required argument count\n * @param {number} [max]  Maximum required argument count\n * @extends Error\n */\n\nfunction ArgumentsError(fn, count, min, max) {\n  if (!(this instanceof ArgumentsError)) {\n    throw new SyntaxError('Constructor must be called with the new operator');\n  }\n\n  this.fn = fn;\n  this.count = count;\n  this.min = min;\n  this.max = max;\n  this.message = 'Wrong number of arguments in function ' + fn + ' (' + count + ' provided, ' + min + (max !== undefined && max !== null ? '-' + max : '') + ' expected)';\n  this.stack = new Error().stack;\n}\n\nArgumentsError.prototype = new Error();\nArgumentsError.prototype.constructor = Error;\nArgumentsError.prototype.name = 'ArgumentsError';\nArgumentsError.prototype.isArgumentsError = true;\nmodule.exports = ArgumentsError;","'use strict';\n/**\n * Create a range error with the message:\n *     'Index out of range (index < min)'\n *     'Index out of range (index < max)'\n *\n * @param {number} index     The actual index\n * @param {number} [min=0]   Minimum index (included)\n * @param {number} [max]     Maximum index (excluded)\n * @extends RangeError\n */\n\nfunction IndexError(index, min, max) {\n  if (!(this instanceof IndexError)) {\n    throw new SyntaxError('Constructor must be called with the new operator');\n  }\n\n  this.index = index;\n\n  if (arguments.length < 3) {\n    this.min = 0;\n    this.max = min;\n  } else {\n    this.min = min;\n    this.max = max;\n  }\n\n  if (this.min !== undefined && this.index < this.min) {\n    this.message = 'Index out of range (' + this.index + ' < ' + this.min + ')';\n  } else if (this.max !== undefined && this.index >= this.max) {\n    this.message = 'Index out of range (' + this.index + ' > ' + (this.max - 1) + ')';\n  } else {\n    this.message = 'Index out of range (' + this.index + ')';\n  }\n\n  this.stack = new Error().stack;\n}\n\nIndexError.prototype = new RangeError();\nIndexError.prototype.constructor = RangeError;\nIndexError.prototype.name = 'IndexError';\nIndexError.prototype.isIndexError = true;\nmodule.exports = IndexError;","'use strict';\n\nvar format = require('../../utils/string').format;\n\nvar escapeLatex = require('../../utils/latex').escape;\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  var getType = load(require('../../function/utils/typeof'));\n  /**\n   * A ConstantNode holds a constant value like a number or string.\n   *\n   * Usage:\n   *\n   *     new ConstantNode(2.3)\n   *     new ConstantNode('hello')\n   *\n   * @param {*} value    Value can be any type (number, BigNumber, string, ...)\n   * @constructor ConstantNode\n   * @extends {Node}\n   */\n\n  function ConstantNode(value) {\n    if (!(this instanceof ConstantNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    if (arguments.length === 2) {\n      // TODO: remove deprecation error some day (created 2018-01-23)\n      throw new SyntaxError('new ConstantNode(valueStr, valueType) is not supported anymore since math v4.0.0. Use new ConstantNode(value) instead, where value is a non-stringified value.');\n    }\n\n    this.value = value;\n  }\n\n  ConstantNode.prototype = new Node();\n  ConstantNode.prototype.type = 'ConstantNode';\n  ConstantNode.prototype.isConstantNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  ConstantNode.prototype._compile = function (math, argNames) {\n    var value = this.value;\n    return function evalConstantNode() {\n      return value;\n    };\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  ConstantNode.prototype.forEach = function (callback) {} // nothing to do, we don't have childs\n\n  /**\n   * Create a new ConstantNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node) : Node} callback\n   * @returns {ConstantNode} Returns a clone of the node\n   */\n  ;\n\n  ConstantNode.prototype.map = function (callback) {\n    return this.clone();\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {ConstantNode}\n   */\n\n\n  ConstantNode.prototype.clone = function () {\n    return new ConstantNode(this.value);\n  };\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  ConstantNode.prototype._toString = function (options) {\n    return format(this.value, options);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  ConstantNode.prototype.toHTML = function (options) {\n    var value = this._toString(options);\n\n    switch (getType(this.value)) {\n      case 'number':\n      case 'BigNumber':\n      case 'Fraction':\n        return '<span class=\"math-number\">' + value + '</span>';\n\n      case 'string':\n        return '<span class=\"math-string\">' + value + '</span>';\n\n      case 'boolean':\n        return '<span class=\"math-boolean\">' + value + '</span>';\n\n      case 'null':\n        return '<span class=\"math-null-symbol\">' + value + '</span>';\n\n      case 'undefined':\n        return '<span class=\"math-undefined\">' + value + '</span>';\n\n      default:\n        return '<span class=\"math-symbol\">' + value + '</span>';\n    }\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  ConstantNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'ConstantNode',\n      value: this.value\n    };\n  };\n  /**\n   * Instantiate a ConstantNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"SymbolNode\", value: 2.3}`,\n   *                       where mathjs is optional\n   * @returns {ConstantNode}\n   */\n\n\n  ConstantNode.fromJSON = function (json) {\n    return new ConstantNode(json.value);\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  ConstantNode.prototype._toTex = function (options) {\n    var value = this._toString(options);\n\n    switch (getType(this.value)) {\n      case 'string':\n        return '\\\\mathtt{' + escapeLatex(value) + '}';\n\n      case 'number':\n      case 'BigNumber':\n        var index = value.toLowerCase().indexOf('e');\n\n        if (index !== -1) {\n          return value.substring(0, index) + '\\\\cdot10^{' + value.substring(index + 1) + '}';\n        }\n\n        return value;\n\n      case 'Fraction':\n        return this.value.toLatex();\n\n      default:\n        return value;\n    }\n  };\n\n  return ConstantNode;\n}\n\nexports.name = 'ConstantNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nvar latex = require('../../utils/latex');\n\nvar map = require('../../utils/array').map;\n\nvar escape = require('../../utils/string').escape;\n\nvar isSafeMethod = require('../../utils/customs').isSafeMethod;\n\nvar getSafeProperty = require('../../utils/customs').getSafeProperty;\n\nvar operators = require('../operators');\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  /**\n   * @constructor OperatorNode\n   * @extends {Node}\n   * An operator with two arguments, like 2+3\n   *\n   * @param {string} op           Operator name, for example '+'\n   * @param {string} fn           Function name, for example 'add'\n   * @param {Node[]} args         Operator arguments\n   * @param {boolean} [implicit]  Is this an implicit multiplication?\n   */\n\n  function OperatorNode(op, fn, args, implicit) {\n    if (!(this instanceof OperatorNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    } // validate input\n\n\n    if (typeof op !== 'string') {\n      throw new TypeError('string expected for parameter \"op\"');\n    }\n\n    if (typeof fn !== 'string') {\n      throw new TypeError('string expected for parameter \"fn\"');\n    }\n\n    if (!Array.isArray(args) || !args.every(type.isNode)) {\n      throw new TypeError('Array containing Nodes expected for parameter \"args\"');\n    }\n\n    this.implicit = implicit === true;\n    this.op = op;\n    this.fn = fn;\n    this.args = args || [];\n  }\n\n  OperatorNode.prototype = new Node();\n  OperatorNode.prototype.type = 'OperatorNode';\n  OperatorNode.prototype.isOperatorNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  OperatorNode.prototype._compile = function (math, argNames) {\n    // validate fn\n    if (typeof this.fn !== 'string' || !isSafeMethod(math, this.fn)) {\n      if (!math[this.fn]) {\n        throw new Error('Function ' + this.fn + ' missing in provided namespace \"math\"');\n      } else {\n        throw new Error('No access to function \"' + this.fn + '\"');\n      }\n    }\n\n    var fn = getSafeProperty(math, this.fn);\n    var evalArgs = map(this.args, function (arg) {\n      return arg._compile(math, argNames);\n    });\n\n    if (evalArgs.length === 1) {\n      var evalArg0 = evalArgs[0];\n      return function evalOperatorNode(scope, args, context) {\n        return fn(evalArg0(scope, args, context));\n      };\n    } else if (evalArgs.length === 2) {\n      var _evalArg = evalArgs[0];\n      var evalArg1 = evalArgs[1];\n      return function evalOperatorNode(scope, args, context) {\n        return fn(_evalArg(scope, args, context), evalArg1(scope, args, context));\n      };\n    } else {\n      return function evalOperatorNode(scope, args, context) {\n        return fn.apply(null, map(evalArgs, function (evalArg) {\n          return evalArg(scope, args, context);\n        }));\n      };\n    }\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  OperatorNode.prototype.forEach = function (callback) {\n    for (var i = 0; i < this.args.length; i++) {\n      callback(this.args[i], 'args[' + i + ']', this);\n    }\n  };\n  /**\n   * Create a new OperatorNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {OperatorNode} Returns a transformed copy of the node\n   */\n\n\n  OperatorNode.prototype.map = function (callback) {\n    var args = [];\n\n    for (var i = 0; i < this.args.length; i++) {\n      args[i] = this._ifNode(callback(this.args[i], 'args[' + i + ']', this));\n    }\n\n    return new OperatorNode(this.op, this.fn, args, this.implicit);\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {OperatorNode}\n   */\n\n\n  OperatorNode.prototype.clone = function () {\n    return new OperatorNode(this.op, this.fn, this.args.slice(0), this.implicit);\n  };\n  /**\n   * Check whether this is an unary OperatorNode:\n   * has exactly one argument, like `-a`.\n   * @return {boolean} Returns true when an unary operator node, false otherwise.\n   */\n\n\n  OperatorNode.prototype.isUnary = function () {\n    return this.args.length === 1;\n  };\n  /**\n   * Check whether this is a binary OperatorNode:\n   * has exactly two arguments, like `a + b`.\n   * @return {boolean} Returns true when a binary operator node, false otherwise.\n   */\n\n\n  OperatorNode.prototype.isBinary = function () {\n    return this.args.length === 2;\n  };\n  /**\n   * Calculate which parentheses are necessary. Gets an OperatorNode\n   * (which is the root of the tree) and an Array of Nodes\n   * (this.args) and returns an array where 'true' means that an argument\n   * has to be enclosed in parentheses whereas 'false' means the opposite.\n   *\n   * @param {OperatorNode} root\n   * @param {string} parenthesis\n   * @param {Node[]} args\n   * @param {boolean} latex\n   * @return {boolean[]}\n   * @private\n   */\n\n\n  function calculateNecessaryParentheses(root, parenthesis, implicit, args, latex) {\n    // precedence of the root OperatorNode\n    var precedence = operators.getPrecedence(root, parenthesis);\n    var associativity = operators.getAssociativity(root, parenthesis);\n\n    if (parenthesis === 'all' || args.length > 2 && root.getIdentifier() !== 'OperatorNode:add' && root.getIdentifier() !== 'OperatorNode:multiply') {\n      var parens = args.map(function (arg) {\n        switch (arg.getContent().type) {\n          // Nodes that don't need extra parentheses\n          case 'ArrayNode':\n          case 'ConstantNode':\n          case 'SymbolNode':\n          case 'ParenthesisNode':\n            return false;\n\n          default:\n            return true;\n        }\n      });\n      return parens;\n    }\n\n    var result;\n\n    switch (args.length) {\n      case 0:\n        result = [];\n        break;\n\n      case 1:\n        // unary operators\n        // precedence of the operand\n        var operandPrecedence = operators.getPrecedence(args[0], parenthesis); // handle special cases for LaTeX, where some of the parentheses aren't needed\n\n        if (latex && operandPrecedence !== null) {\n          var operandIdentifier;\n          var rootIdentifier;\n\n          if (parenthesis === 'keep') {\n            operandIdentifier = args[0].getIdentifier();\n            rootIdentifier = root.getIdentifier();\n          } else {\n            // Ignore Parenthesis Nodes when not in 'keep' mode\n            operandIdentifier = args[0].getContent().getIdentifier();\n            rootIdentifier = root.getContent().getIdentifier();\n          }\n\n          if (operators.properties[precedence][rootIdentifier].latexLeftParens === false) {\n            result = [false];\n            break;\n          }\n\n          if (operators.properties[operandPrecedence][operandIdentifier].latexParens === false) {\n            result = [false];\n            break;\n          }\n        }\n\n        if (operandPrecedence === null) {\n          // if the operand has no defined precedence, no parens are needed\n          result = [false];\n          break;\n        }\n\n        if (operandPrecedence <= precedence) {\n          // if the operands precedence is lower, parens are needed\n          result = [true];\n          break;\n        } // otherwise, no parens needed\n\n\n        result = [false];\n        break;\n\n      case 2:\n        // binary operators\n        var lhsParens; // left hand side needs parenthesis?\n        // precedence of the left hand side\n\n        var lhsPrecedence = operators.getPrecedence(args[0], parenthesis); // is the root node associative with the left hand side\n\n        var assocWithLhs = operators.isAssociativeWith(root, args[0], parenthesis);\n\n        if (lhsPrecedence === null) {\n          // if the left hand side has no defined precedence, no parens are needed\n          // FunctionNode for example\n          lhsParens = false;\n        } else if (lhsPrecedence === precedence && associativity === 'right' && !assocWithLhs) {\n          // In case of equal precedence, if the root node is left associative\n          // parens are **never** necessary for the left hand side.\n          // If it is right associative however, parens are necessary\n          // if the root node isn't associative with the left hand side\n          lhsParens = true;\n        } else if (lhsPrecedence < precedence) {\n          lhsParens = true;\n        } else {\n          lhsParens = false;\n        }\n\n        var rhsParens; // right hand side needs parenthesis?\n        // precedence of the right hand side\n\n        var rhsPrecedence = operators.getPrecedence(args[1], parenthesis); // is the root node associative with the right hand side?\n\n        var assocWithRhs = operators.isAssociativeWith(root, args[1], parenthesis);\n\n        if (rhsPrecedence === null) {\n          // if the right hand side has no defined precedence, no parens are needed\n          // FunctionNode for example\n          rhsParens = false;\n        } else if (rhsPrecedence === precedence && associativity === 'left' && !assocWithRhs) {\n          // In case of equal precedence, if the root node is right associative\n          // parens are **never** necessary for the right hand side.\n          // If it is left associative however, parens are necessary\n          // if the root node isn't associative with the right hand side\n          rhsParens = true;\n        } else if (rhsPrecedence < precedence) {\n          rhsParens = true;\n        } else {\n          rhsParens = false;\n        } // handle special cases for LaTeX, where some of the parentheses aren't needed\n\n\n        if (latex) {\n          var _rootIdentifier;\n\n          var lhsIdentifier;\n          var rhsIdentifier;\n\n          if (parenthesis === 'keep') {\n            _rootIdentifier = root.getIdentifier();\n            lhsIdentifier = root.args[0].getIdentifier();\n            rhsIdentifier = root.args[1].getIdentifier();\n          } else {\n            // Ignore ParenthesisNodes when not in 'keep' mode\n            _rootIdentifier = root.getContent().getIdentifier();\n            lhsIdentifier = root.args[0].getContent().getIdentifier();\n            rhsIdentifier = root.args[1].getContent().getIdentifier();\n          }\n\n          if (lhsPrecedence !== null) {\n            if (operators.properties[precedence][_rootIdentifier].latexLeftParens === false) {\n              lhsParens = false;\n            }\n\n            if (operators.properties[lhsPrecedence][lhsIdentifier].latexParens === false) {\n              lhsParens = false;\n            }\n          }\n\n          if (rhsPrecedence !== null) {\n            if (operators.properties[precedence][_rootIdentifier].latexRightParens === false) {\n              rhsParens = false;\n            }\n\n            if (operators.properties[rhsPrecedence][rhsIdentifier].latexParens === false) {\n              rhsParens = false;\n            }\n          }\n        }\n\n        result = [lhsParens, rhsParens];\n        break;\n\n      default:\n        if (root.getIdentifier() === 'OperatorNode:add' || root.getIdentifier() === 'OperatorNode:multiply') {\n          result = args.map(function (arg) {\n            var argPrecedence = operators.getPrecedence(arg, parenthesis);\n            var assocWithArg = operators.isAssociativeWith(root, arg, parenthesis);\n            var argAssociativity = operators.getAssociativity(arg, parenthesis);\n\n            if (argPrecedence === null) {\n              // if the argument has no defined precedence, no parens are needed\n              return false;\n            } else if (precedence === argPrecedence && associativity === argAssociativity && !assocWithArg) {\n              return true;\n            } else if (argPrecedence < precedence) {\n              return true;\n            }\n\n            return false;\n          });\n        }\n\n        break;\n    } // handles an edge case of 'auto' parentheses with implicit multiplication of ConstantNode\n    // In that case print parentheses for ParenthesisNodes even though they normally wouldn't be\n    // printed.\n\n\n    if (args.length >= 2 && root.getIdentifier() === 'OperatorNode:multiply' && root.implicit && parenthesis === 'auto' && implicit === 'hide') {\n      result = args.map(function (arg, index) {\n        var isParenthesisNode = arg.getIdentifier() === 'ParenthesisNode';\n\n        if (result[index] || isParenthesisNode) {\n          // put in parenthesis?\n          return true;\n        }\n\n        return false;\n      });\n    }\n\n    return result;\n  }\n  /**\n   * Get string representation.\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  OperatorNode.prototype._toString = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var implicit = options && options.implicit ? options.implicit : 'hide';\n    var args = this.args;\n    var parens = calculateNecessaryParentheses(this, parenthesis, implicit, args, false);\n\n    if (args.length === 1) {\n      // unary operators\n      var assoc = operators.getAssociativity(this, parenthesis);\n      var operand = args[0].toString(options);\n\n      if (parens[0]) {\n        operand = '(' + operand + ')';\n      }\n\n      if (assoc === 'right') {\n        // prefix operator\n        return this.op + operand;\n      } else if (assoc === 'left') {\n        // postfix\n        return operand + this.op;\n      } // fall back to postfix\n\n\n      return operand + this.op;\n    } else if (args.length === 2) {\n      var lhs = args[0].toString(options); // left hand side\n\n      var rhs = args[1].toString(options); // right hand side\n\n      if (parens[0]) {\n        // left hand side in parenthesis?\n        lhs = '(' + lhs + ')';\n      }\n\n      if (parens[1]) {\n        // right hand side in parenthesis?\n        rhs = '(' + rhs + ')';\n      }\n\n      if (this.implicit && this.getIdentifier() === 'OperatorNode:multiply' && implicit === 'hide') {\n        return lhs + ' ' + rhs;\n      }\n\n      return lhs + ' ' + this.op + ' ' + rhs;\n    } else if (args.length > 2 && (this.getIdentifier() === 'OperatorNode:add' || this.getIdentifier() === 'OperatorNode:multiply')) {\n      var stringifiedArgs = args.map(function (arg, index) {\n        arg = arg.toString(options);\n\n        if (parens[index]) {\n          // put in parenthesis?\n          arg = '(' + arg + ')';\n        }\n\n        return arg;\n      });\n\n      if (this.implicit && this.getIdentifier() === 'OperatorNode:multiply' && implicit === 'hide') {\n        return stringifiedArgs.join(' ');\n      }\n\n      return stringifiedArgs.join(' ' + this.op + ' ');\n    } else {\n      // fallback to formatting as a function call\n      return this.fn + '(' + this.args.join(', ') + ')';\n    }\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  OperatorNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'OperatorNode',\n      op: this.op,\n      fn: this.fn,\n      args: this.args,\n      implicit: this.implicit\n    };\n  };\n  /**\n   * Instantiate an OperatorNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"OperatorNode\", \"op\": \"+\", \"fn\": \"add\", \"args\": [...], \"implicit\": false}`,\n   *                       where mathjs is optional\n   * @returns {OperatorNode}\n   */\n\n\n  OperatorNode.fromJSON = function (json) {\n    return new OperatorNode(json.op, json.fn, json.args, json.implicit);\n  };\n  /**\n   * Get HTML representation.\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  OperatorNode.prototype.toHTML = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var implicit = options && options.implicit ? options.implicit : 'hide';\n    var args = this.args;\n    var parens = calculateNecessaryParentheses(this, parenthesis, implicit, args, false);\n\n    if (args.length === 1) {\n      // unary operators\n      var assoc = operators.getAssociativity(this, parenthesis);\n      var operand = args[0].toHTML(options);\n\n      if (parens[0]) {\n        operand = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + operand + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n      }\n\n      if (assoc === 'right') {\n        // prefix operator\n        return '<span class=\"math-operator math-unary-operator math-lefthand-unary-operator\">' + escape(this.op) + '</span>' + operand;\n      } else if (assoc === 'left') {\n        // postfix\n        return '<span class=\"math-operator math-unary-operator math-righthand-unary-operator\">' + escape(this.op) + '</span>' + operand;\n      } // fall back to postfix\n\n\n      return '<span class=\"math-operator math-unary-operator math-righthand-unary-operator\">' + escape(this.op) + '</span>' + operand;\n    } else if (args.length === 2) {\n      // binary operatoes\n      var lhs = args[0].toHTML(options); // left hand side\n\n      var rhs = args[1].toHTML(options); // right hand side\n\n      if (parens[0]) {\n        // left hand side in parenthesis?\n        lhs = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + lhs + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n      }\n\n      if (parens[1]) {\n        // right hand side in parenthesis?\n        rhs = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + rhs + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n      }\n\n      if (this.implicit && this.getIdentifier() === 'OperatorNode:multiply' && implicit === 'hide') {\n        return lhs + '<span class=\"math-operator math-binary-operator math-implicit-binary-operator\"></span>' + rhs;\n      }\n\n      return lhs + '<span class=\"math-operator math-binary-operator math-explicit-binary-operator\">' + escape(this.op) + '</span>' + rhs;\n    } else {\n      var stringifiedArgs = args.map(function (arg, index) {\n        arg = arg.toHTML(options);\n\n        if (parens[index]) {\n          // put in parenthesis?\n          arg = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + arg + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n        }\n\n        return arg;\n      });\n\n      if (args.length > 2 && (this.getIdentifier() === 'OperatorNode:add' || this.getIdentifier() === 'OperatorNode:multiply')) {\n        if (this.implicit && this.getIdentifier() === 'OperatorNode:multiply' && implicit === 'hide') {\n          return stringifiedArgs.join('<span class=\"math-operator math-binary-operator math-implicit-binary-operator\"></span>');\n        }\n\n        return stringifiedArgs.join('<span class=\"math-operator math-binary-operator math-explicit-binary-operator\">' + escape(this.op) + '</span>');\n      } else {\n        // fallback to formatting as a function call\n        return '<span class=\"math-function\">' + escape(this.fn) + '</span><span class=\"math-paranthesis math-round-parenthesis\">(</span>' + stringifiedArgs.join('<span class=\"math-separator\">,</span>') + '<span class=\"math-paranthesis math-round-parenthesis\">)</span>';\n      }\n    }\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  OperatorNode.prototype._toTex = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var implicit = options && options.implicit ? options.implicit : 'hide';\n    var args = this.args;\n    var parens = calculateNecessaryParentheses(this, parenthesis, implicit, args, true);\n    var op = latex.operators[this.fn];\n    op = typeof op === 'undefined' ? this.op : op; // fall back to using this.op\n\n    if (args.length === 1) {\n      // unary operators\n      var assoc = operators.getAssociativity(this, parenthesis);\n      var operand = args[0].toTex(options);\n\n      if (parens[0]) {\n        operand = \"\\\\left(\".concat(operand, \"\\\\right)\");\n      }\n\n      if (assoc === 'right') {\n        // prefix operator\n        return op + operand;\n      } else if (assoc === 'left') {\n        // postfix operator\n        return operand + op;\n      } // fall back to postfix\n\n\n      return operand + op;\n    } else if (args.length === 2) {\n      // binary operators\n      var lhs = args[0]; // left hand side\n\n      var lhsTex = lhs.toTex(options);\n\n      if (parens[0]) {\n        lhsTex = \"\\\\left(\".concat(lhsTex, \"\\\\right)\");\n      }\n\n      var rhs = args[1]; // right hand side\n\n      var rhsTex = rhs.toTex(options);\n\n      if (parens[1]) {\n        rhsTex = \"\\\\left(\".concat(rhsTex, \"\\\\right)\");\n      } // handle some exceptions (due to the way LaTeX works)\n\n\n      var lhsIdentifier;\n\n      if (parenthesis === 'keep') {\n        lhsIdentifier = lhs.getIdentifier();\n      } else {\n        // Ignore ParenthesisNodes if in 'keep' mode\n        lhsIdentifier = lhs.getContent().getIdentifier();\n      }\n\n      switch (this.getIdentifier()) {\n        case 'OperatorNode:divide':\n          // op contains '\\\\frac' at this point\n          return op + '{' + lhsTex + '}' + '{' + rhsTex + '}';\n\n        case 'OperatorNode:pow':\n          lhsTex = '{' + lhsTex + '}';\n          rhsTex = '{' + rhsTex + '}';\n\n          switch (lhsIdentifier) {\n            case 'ConditionalNode': //\n\n            case 'OperatorNode:divide':\n              lhsTex = \"\\\\left(\".concat(lhsTex, \"\\\\right)\");\n          }\n\n          break;\n\n        case 'OperatorNode:multiply':\n          if (this.implicit && implicit === 'hide') {\n            return lhsTex + '~' + rhsTex;\n          }\n\n      }\n\n      return lhsTex + op + rhsTex;\n    } else if (args.length > 2 && (this.getIdentifier() === 'OperatorNode:add' || this.getIdentifier() === 'OperatorNode:multiply')) {\n      var texifiedArgs = args.map(function (arg, index) {\n        arg = arg.toTex(options);\n\n        if (parens[index]) {\n          arg = \"\\\\left(\".concat(arg, \"\\\\right)\");\n        }\n\n        return arg;\n      });\n\n      if (this.getIdentifier() === 'OperatorNode:multiply' && this.implicit) {\n        return texifiedArgs.join('~');\n      }\n\n      return texifiedArgs.join(op);\n    } else {\n      // fall back to formatting as a function call\n      // as this is a fallback, it doesn't use\n      // fancy function names\n      return '\\\\mathrm{' + this.fn + '}\\\\left(' + args.map(function (arg) {\n        return arg.toTex(options);\n      }).join(',') + '\\\\right)';\n    }\n  };\n  /**\n   * Get identifier.\n   * @return {string}\n   */\n\n\n  OperatorNode.prototype.getIdentifier = function () {\n    return this.type + ':' + this.fn;\n  };\n\n  return OperatorNode;\n}\n\nexports.name = 'OperatorNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Test whether a value is zero.\n   * The function can check for zero for types `number`, `BigNumber`, `Fraction`,\n   * `Complex`, and `Unit`.\n   *\n   * The function is evaluated element-wise in case of Array or Matrix input.\n   *\n   * Syntax:\n   *\n   *     math.isZero(x)\n   *\n   * Examples:\n   *\n   *    math.isZero(0)                     // returns true\n   *    math.isZero(2)                     // returns false\n   *    math.isZero(0.5)                   // returns false\n   *    math.isZero(math.bignumber(0))     // returns true\n   *    math.isZero(math.fraction(0))      // returns true\n   *    math.isZero(math.fraction(1,3))    // returns false\n   *    math.isZero(math.complex('2 - 4i') // returns false\n   *    math.isZero(math.complex('0i')     // returns true\n   *    math.isZero('0')                   // returns true\n   *    math.isZero('2')                   // returns false\n   *    math.isZero([2, 0, -3]')           // returns [false, true, false]\n   *\n   * See also:\n   *\n   *    isNumeric, isPositive, isNegative, isInteger\n   *\n   * @param {number | BigNumber | Complex | Fraction | Unit | Array | Matrix} x       Value to be tested\n   * @return {boolean}  Returns true when `x` is zero.\n   *                    Throws an error in case of an unknown data type.\n   */\n  var isZero = typed('isZero', {\n    'number': function number(x) {\n      return x === 0;\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.isZero();\n    },\n    'Complex': function Complex(x) {\n      return x.re === 0 && x.im === 0;\n    },\n    'Fraction': function Fraction(x) {\n      return x.d === 1 && x.n === 0;\n    },\n    'Unit': function Unit(x) {\n      return isZero(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, isZero);\n    }\n  });\n  return isZero;\n}\n\nexports.name = 'isZero';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Test whether a value is negative: smaller than zero.\n   * The function supports types `number`, `BigNumber`, `Fraction`, and `Unit`.\n   *\n   * The function is evaluated element-wise in case of Array or Matrix input.\n   *\n   * Syntax:\n   *\n   *     math.isNegative(x)\n   *\n   * Examples:\n   *\n   *    math.isNegative(3)                     // returns false\n   *    math.isNegative(-2)                    // returns true\n   *    math.isNegative(0)                     // returns false\n   *    math.isNegative(-0)                    // returns false\n   *    math.isNegative(math.bignumber(2))     // returns false\n   *    math.isNegative(math.fraction(-2, 5))  // returns true\n   *    math.isNegative('-2')                  // returns true\n   *    math.isNegative([2, 0, -3]')           // returns [false, false, true]\n   *\n   * See also:\n   *\n   *    isNumeric, isPositive, isZero, isInteger\n   *\n   * @param {number | BigNumber | Fraction | Unit | Array | Matrix} x  Value to be tested\n   * @return {boolean}  Returns true when `x` is larger than zero.\n   *                    Throws an error in case of an unknown data type.\n   */\n  var isNegative = typed('isNegative', {\n    'number': function number(x) {\n      return x < 0;\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.isNeg() && !x.isZero() && !x.isNaN();\n    },\n    'Fraction': function Fraction(x) {\n      return x.s < 0; // It's enough to decide on the sign\n    },\n    'Unit': function Unit(x) {\n      return isNegative(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, isNegative);\n    }\n  });\n  return isNegative;\n}\n\nexports.name = 'isNegative';\nexports.factory = factory;","'use strict';\n\nvar isCollection = require('./isCollection');\n/**\n * Test whether an array contains collections\n * @param {Array} array\n * @returns {boolean} Returns true when the array contains one or multiple\n *                    collections (Arrays or Matrices). Returns false otherwise.\n */\n\n\nmodule.exports = function containsCollections(array) {\n  for (var i = 0; i < array.length; i++) {\n    if (isCollection(array[i])) {\n      return true;\n    }\n  }\n\n  return false;\n};","(function (global, factory) {\n  if (typeof define === \"function\" && define.amd) {\n    define([\"exports\", \"prop-types\"], factory);\n  } else if (typeof exports !== \"undefined\") {\n    factory(exports, require(\"prop-types\"));\n  } else {\n    var mod = {\n      exports: {}\n    };\n    factory(mod.exports, global.propTypes);\n    global.ReactIf = mod.exports;\n  }\n})(this, function (_exports, _propTypes) {\n  \"use strict\";\n\n  Object.defineProperty(_exports, \"__esModule\", {\n    value: true\n  });\n  _exports.Then = Then;\n  _exports.Else = Else;\n  _exports.If = If;\n  _exports.Unless = Unless;\n  _exports.When = When;\n  _exports.default = void 0;\n  _propTypes = _interopRequireDefault(_propTypes);\n\n  function _interopRequireDefault(obj) {\n    return obj && obj.__esModule ? obj : {\n      default: obj\n    };\n  }\n\n  function render(props) {\n    if (typeof props.children === 'function') {\n      return props.children();\n    }\n\n    return props.children || null;\n  }\n\n  function Then(props) {\n    return render(props);\n  }\n\n  function Else(props) {\n    return render(props);\n  }\n\n  Then.propTypes = Else.propTypes = {\n    children: _propTypes.default.oneOfType([_propTypes.default.func, _propTypes.default.node])\n  };\n\n  function If(_ref) {\n    var condition = _ref.condition,\n        children = _ref.children;\n\n    if (children == null) {\n      return null;\n    }\n\n    return [].concat(children).find(function (c) {\n      return c.type !== Else ^ !condition;\n    }) || null;\n  }\n\n  var ThenOrElse = _propTypes.default.oneOfType([_propTypes.default.instanceOf(Then), _propTypes.default.instanceOf(Else), _propTypes.default.node]);\n\n  If.propTypes = {\n    condition: _propTypes.default.bool.isRequired,\n    children: _propTypes.default.oneOfType([_propTypes.default.arrayOf(ThenOrElse), ThenOrElse])\n  };\n\n  function Unless(_ref2) {\n    var condition = _ref2.condition,\n        children = _ref2.children;\n    return !condition && children ? render({\n      condition: condition,\n      children: children\n    }) : null;\n  }\n\n  Unless.propTypes = {\n    condition: _propTypes.default.bool.isRequired,\n    children: _propTypes.default.oneOfType([_propTypes.default.func, _propTypes.default.node])\n  };\n  Unless.defaultProps = {\n    children: null\n  };\n\n  function When(_ref3) {\n    var condition = _ref3.condition,\n        children = _ref3.children;\n    return condition && children ? render({\n      condition: condition,\n      children: children\n    }) : null;\n  }\n\n  When.propTypes = {\n    condition: _propTypes.default.bool.isRequired,\n    children: _propTypes.default.oneOfType([_propTypes.default.func, _propTypes.default.node])\n  };\n  When.defaultProps = {\n    children: null\n  };\n  If.Then = Then;\n  If.Else = Else;\n  If.When = When;\n  If.Unless = Unless;\n  var _default = If;\n  _exports.default = _default;\n});","'use strict';\n/**\n * Test whether a value is a Matrix\n * @param {*} x\n * @returns {boolean} returns true with input is a Matrix\n *                    (like a DenseMatrix or SparseMatrix)\n */\n\nmodule.exports = function isMatrix(x) {\n  return x && x.constructor.prototype.isMatrix || false;\n};","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var _typeof = load(require('../../../function/utils/typeof'));\n\n  function getArrayDataType(array) {\n    var _type; // to hold type info\n\n\n    var _length = 0; // to hold length value to ensure it has consistent sizes\n\n    for (var i = 0; i < array.length; i++) {\n      var item = array[i];\n      var isArray = Array.isArray(item); // Saving the target matrix row size\n\n      if (i === 0 && isArray) {\n        _length = item.length;\n      } // If the current item is an array but the length does not equal the targetVectorSize\n\n\n      if (isArray && item.length !== _length) {\n        return undefined;\n      }\n\n      var itemType = isArray ? getArrayDataType(item) // recurse into a nested array\n      : _typeof(item);\n\n      if (_type === undefined) {\n        _type = itemType; // first item\n      } else if (_type !== itemType) {\n        return 'mixed';\n      } else {// we're good, everything has the same type so far\n      }\n    }\n\n    return _type;\n  }\n\n  return getArrayDataType;\n}\n/**\n * Check the datatype of a given object\n * This is a low level implementation that should only be used by\n * parent Matrix classes such as SparseMatrix or DenseMatrix\n * This method does not validate Array Matrix shape\n * @param array\n * @return string\n */\n\n\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('./../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create a number or convert a string, boolean, or unit to a number.\n   * When value is a matrix, all elements will be converted to number.\n   *\n   * Syntax:\n   *\n   *    math.number(value)\n   *    math.number(unit, valuelessUnit)\n   *\n   * Examples:\n   *\n   *    math.number(2)                         // returns number 2\n   *    math.number('7.2')                     // returns number 7.2\n   *    math.number(true)                      // returns number 1\n   *    math.number([true, false, true, true]) // returns [1, 0, 1, 1]\n   *    math.number(math.unit('52cm'), 'm')    // returns 0.52\n   *\n   * See also:\n   *\n   *    bignumber, boolean, complex, index, matrix, string, unit\n   *\n   * @param {string | number | BigNumber | Fraction | boolean | Array | Matrix | Unit | null} [value]  Value to be converted\n   * @param {Unit | string} [valuelessUnit] A valueless unit, used to convert a unit to a number\n   * @return {number | Array | Matrix} The created number\n   */\n  var number = typed('number', {\n    '': function _() {\n      return 0;\n    },\n    'number': function number(x) {\n      return x;\n    },\n    'string': function string(x) {\n      if (x === 'NaN') return NaN;\n      var num = Number(x);\n\n      if (isNaN(num)) {\n        throw new SyntaxError('String \"' + x + '\" is no valid number');\n      }\n\n      return num;\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.toNumber();\n    },\n    'Fraction': function Fraction(x) {\n      return x.valueOf();\n    },\n    'Unit': function Unit(x) {\n      throw new Error('Second argument with valueless unit expected');\n    },\n    'null': function _null(x) {\n      return 0;\n    },\n    'Unit, string | Unit': function UnitStringUnit(unit, valuelessUnit) {\n      return unit.toNumber(valuelessUnit);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, number);\n    }\n  });\n  number.toTex = {\n    0: \"0\",\n    1: \"\\\\left(${args[0]}\\\\right)\",\n    2: \"\\\\left(\\\\left(${args[0]}\\\\right)${args[1]}\\\\right)\"\n  };\n  return number;\n}\n\nexports.name = 'number';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var getTypeOf = load(require('../function/utils/typeof'));\n  var validInputTypes = {\n    'string': true,\n    'number': true,\n    'BigNumber': true,\n    'Fraction': true // Load the conversion functions for each output type\n\n  };\n  var validOutputTypes = {\n    'number': load(require('./number')),\n    'BigNumber': load(require('./bignumber/function/bignumber')),\n    'Fraction': load(require('./fraction/function/fraction'))\n    /**\n     * Convert a numeric value to a specific type: number, BigNumber, or Fraction\n     *\n     * @param {string | number | BigNumber | Fraction } value\n     * @param {'number' | 'BigNumber' | 'Fraction'} outputType\n     * @return {number | BigNumber | Fraction} Returns an instance of the\n     *                                         numeric in the requested type\n     */\n\n  };\n\n  var numeric = function numeric(value, outputType) {\n    var inputType = getTypeOf(value);\n\n    if (!(inputType in validInputTypes)) {\n      throw new TypeError('Cannot convert ' + value + ' of type \"' + inputType + '\"; valid input types are ' + Object.keys(validInputTypes).join(', '));\n    }\n\n    if (!(outputType in validOutputTypes)) {\n      throw new TypeError('Cannot convert ' + value + ' to type \"' + outputType + '\"; valid output types are ' + Object.keys(validOutputTypes).join(', '));\n    }\n\n    if (outputType === inputType) {\n      return value;\n    } else {\n      return validOutputTypes[outputType](value);\n    }\n  };\n\n  numeric.toTex = function (node, options) {\n    // Not sure if this is strictly right but should work correctly for the vast majority of use cases.\n    return node.args[0].toTex();\n  };\n\n  return numeric;\n} // FIXME: expose numeric in the math namespace after we've decided on a name and have written proper docs for this function. See https://github.com/josdejong/mathjs/pull/1270\n// exports.name = 'type._numeric'\n\n\nexports.path = 'type';\nexports.name = '_numeric';\nexports.factory = factory;","'use strict';\n\nvar DimensionError = require('../../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var equalScalar = load(require('../../../function/relational/equalScalar'));\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Iterates over SparseMatrix A and SparseMatrix B nonzero items and invokes the callback function f(Aij, Bij).\n   * Callback function invoked MAX(NNZA, NNZB) times\n   *\n   *\n   *          ┌  f(Aij, Bij)  ; A(i,j) !== 0 || B(i,j) !== 0\n   * C(i,j) = ┤\n   *          └  0            ; otherwise\n   *\n   *\n   * @param {Matrix}   a                 The SparseMatrix instance (A)\n   * @param {Matrix}   b                 The SparseMatrix instance (B)\n   * @param {Function} callback          The f(Aij,Bij) operation to invoke\n   *\n   * @return {Matrix}                    SparseMatrix (C)\n   *\n   * see https://github.com/josdejong/mathjs/pull/346#issuecomment-97620294\n   */\n\n  var algorithm05 = function algorithm05(a, b, callback) {\n    // sparse matrix arrays\n    var avalues = a._values;\n    var aindex = a._index;\n    var aptr = a._ptr;\n    var asize = a._size;\n    var adt = a._datatype; // sparse matrix arrays\n\n    var bvalues = b._values;\n    var bindex = b._index;\n    var bptr = b._ptr;\n    var bsize = b._size;\n    var bdt = b._datatype; // validate dimensions\n\n    if (asize.length !== bsize.length) {\n      throw new DimensionError(asize.length, bsize.length);\n    } // check rows & columns\n\n\n    if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) {\n      throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string' && adt === bdt) {\n      // datatype\n      dt = adt; // find signature that matches (dt, dt)\n\n      eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // result arrays\n\n\n    var cvalues = avalues && bvalues ? [] : undefined;\n    var cindex = [];\n    var cptr = []; // matrix\n\n    var c = new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [rows, columns],\n      datatype: dt\n    }); // workspaces\n\n    var xa = cvalues ? [] : undefined;\n    var xb = cvalues ? [] : undefined; // marks indicating we have a value in x for a given column\n\n    var wa = [];\n    var wb = []; // vars\n\n    var i, j, k, k1; // loop columns\n\n    for (j = 0; j < columns; j++) {\n      // update cptr\n      cptr[j] = cindex.length; // columns mark\n\n      var mark = j + 1; // loop values A(:,j)\n\n      for (k = aptr[j], k1 = aptr[j + 1]; k < k1; k++) {\n        // row\n        i = aindex[k]; // push index\n\n        cindex.push(i); // update workspace\n\n        wa[i] = mark; // check we need to process values\n\n        if (xa) {\n          xa[i] = avalues[k];\n        }\n      } // loop values B(:,j)\n\n\n      for (k = bptr[j], k1 = bptr[j + 1]; k < k1; k++) {\n        // row\n        i = bindex[k]; // check row existed in A\n\n        if (wa[i] !== mark) {\n          // push index\n          cindex.push(i);\n        } // update workspace\n\n\n        wb[i] = mark; // check we need to process values\n\n        if (xb) {\n          xb[i] = bvalues[k];\n        }\n      } // check we need to process values (non pattern matrix)\n\n\n      if (cvalues) {\n        // initialize first index in j\n        k = cptr[j]; // loop index in j\n\n        while (k < cindex.length) {\n          // row\n          i = cindex[k]; // marks\n\n          var wai = wa[i];\n          var wbi = wb[i]; // check Aij or Bij are nonzero\n\n          if (wai === mark || wbi === mark) {\n            // matrix values @ i,j\n            var va = wai === mark ? xa[i] : zero;\n            var vb = wbi === mark ? xb[i] : zero; // Cij\n\n            var vc = cf(va, vb); // check for zero\n\n            if (!eq(vc, zero)) {\n              // push value\n              cvalues.push(vc); // increment pointer\n\n              k++;\n            } else {\n              // remove value @ i, do not increment pointer\n              cindex.splice(k, 1);\n            }\n          }\n        }\n      }\n    } // update cptr\n\n\n    cptr[columns] = cindex.length; // return sparse matrix\n\n    return c;\n  };\n\n  return algorithm05;\n}\n\nexports.name = 'algorithm05';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  /**\n   * @constructor ParenthesisNode\n   * @extends {Node}\n   * A parenthesis node describes manual parenthesis from the user input\n   * @param {Node} content\n   * @extends {Node}\n   */\n\n  function ParenthesisNode(content) {\n    if (!(this instanceof ParenthesisNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    } // validate input\n\n\n    if (!type.isNode(content)) {\n      throw new TypeError('Node expected for parameter \"content\"');\n    }\n\n    this.content = content;\n  }\n\n  ParenthesisNode.prototype = new Node();\n  ParenthesisNode.prototype.type = 'ParenthesisNode';\n  ParenthesisNode.prototype.isParenthesisNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  ParenthesisNode.prototype._compile = function (math, argNames) {\n    return this.content._compile(math, argNames);\n  };\n  /**\n   * Get the content of the current Node.\n   * @return {Node} content\n   * @override\n   **/\n\n\n  ParenthesisNode.prototype.getContent = function () {\n    return this.content.getContent();\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  ParenthesisNode.prototype.forEach = function (callback) {\n    callback(this.content, 'content', this);\n  };\n  /**\n   * Create a new ParenthesisNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node) : Node} callback\n   * @returns {ParenthesisNode} Returns a clone of the node\n   */\n\n\n  ParenthesisNode.prototype.map = function (callback) {\n    var content = callback(this.content, 'content', this);\n    return new ParenthesisNode(content);\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {ParenthesisNode}\n   */\n\n\n  ParenthesisNode.prototype.clone = function () {\n    return new ParenthesisNode(this.content);\n  };\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  ParenthesisNode.prototype._toString = function (options) {\n    if (!options || options && !options.parenthesis || options && options.parenthesis === 'keep') {\n      return '(' + this.content.toString(options) + ')';\n    }\n\n    return this.content.toString(options);\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  ParenthesisNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'ParenthesisNode',\n      content: this.content\n    };\n  };\n  /**\n   * Instantiate an ParenthesisNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"ParenthesisNode\", \"content\": ...}`,\n   *                       where mathjs is optional\n   * @returns {ParenthesisNode}\n   */\n\n\n  ParenthesisNode.fromJSON = function (json) {\n    return new ParenthesisNode(json.content);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  ParenthesisNode.prototype.toHTML = function (options) {\n    if (!options || options && !options.parenthesis || options && options.parenthesis === 'keep') {\n      return '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + this.content.toHTML(options) + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n    }\n\n    return this.content.toHTML(options);\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  ParenthesisNode.prototype._toTex = function (options) {\n    if (!options || options && !options.parenthesis || options && options.parenthesis === 'keep') {\n      return \"\\\\left(\".concat(this.content.toTex(options), \"\\\\right)\");\n    }\n\n    return this.content.toTex(options);\n  };\n\n  return ParenthesisNode;\n}\n\nexports.name = 'ParenthesisNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nfunction _extends() {\n  _extends = Object.assign || function (target) {\n    for (var i = 1; i < arguments.length; i++) {\n      var source = arguments[i];\n\n      for (var key in source) {\n        if (Object.prototype.hasOwnProperty.call(source, key)) {\n          target[key] = source[key];\n        }\n      }\n    }\n\n    return target;\n  };\n\n  return _extends.apply(this, arguments);\n}\n\nvar latex = require('../../utils/latex');\n\nvar escape = require('../../utils/string').escape;\n\nvar hasOwnProperty = require('../../utils/object').hasOwnProperty;\n\nvar map = require('../../utils/array').map;\n\nvar validateSafeMethod = require('../../utils/customs').validateSafeMethod;\n\nvar getSafeProperty = require('../../utils/customs').getSafeProperty;\n\nfunction factory(type, config, load, typed, math) {\n  var Node = load(require('./Node'));\n  var SymbolNode = load(require('./SymbolNode'));\n  /**\n   * @constructor FunctionNode\n   * @extends {./Node}\n   * invoke a list with arguments on a node\n   * @param {./Node | string} fn Node resolving with a function on which to invoke\n   *                             the arguments, typically a SymboNode or AccessorNode\n   * @param {./Node[]} args\n   */\n\n  function FunctionNode(fn, args) {\n    if (!(this instanceof FunctionNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    if (typeof fn === 'string') {\n      fn = new SymbolNode(fn);\n    } // validate input\n\n\n    if (!type.isNode(fn)) throw new TypeError('Node expected as parameter \"fn\"');\n\n    if (!Array.isArray(args) || !args.every(type.isNode)) {\n      throw new TypeError('Array containing Nodes expected for parameter \"args\"');\n    }\n\n    this.fn = fn;\n    this.args = args || []; // readonly property name\n\n    Object.defineProperty(this, 'name', {\n      get: function () {\n        return this.fn.name || '';\n      }.bind(this),\n      set: function set() {\n        throw new Error('Cannot assign a new name, name is read-only');\n      }\n    }); // TODO: deprecated since v3, remove some day\n\n    var deprecated = function deprecated() {\n      throw new Error('Property `FunctionNode.object` is deprecated, use `FunctionNode.fn` instead');\n    };\n\n    Object.defineProperty(this, 'object', {\n      get: deprecated,\n      set: deprecated\n    });\n  }\n\n  FunctionNode.prototype = new Node();\n  FunctionNode.prototype.type = 'FunctionNode';\n  FunctionNode.prototype.isFunctionNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  FunctionNode.prototype._compile = function (math, argNames) {\n    if (!(this instanceof FunctionNode)) {\n      throw new TypeError('No valid FunctionNode');\n    } // compile arguments\n\n\n    var evalArgs = map(this.args, function (arg) {\n      return arg._compile(math, argNames);\n    });\n\n    if (type.isSymbolNode(this.fn)) {\n      // we can statically determine whether the function has an rawArgs property\n      var name = this.fn.name;\n      var fn = name in math ? getSafeProperty(math, name) : undefined;\n      var isRaw = typeof fn === 'function' && fn.rawArgs === true;\n\n      if (isRaw) {\n        // pass unevaluated parameters (nodes) to the function\n        // \"raw\" evaluation\n        var rawArgs = this.args;\n        return function evalFunctionNode(scope, args, context) {\n          return (name in scope ? getSafeProperty(scope, name) : fn)(rawArgs, math, _extends({}, scope, args));\n        };\n      } else {\n        // \"regular\" evaluation\n        if (evalArgs.length === 1) {\n          var evalArg0 = evalArgs[0];\n          return function evalFunctionNode(scope, args, context) {\n            return (name in scope ? getSafeProperty(scope, name) : fn)(evalArg0(scope, args, context));\n          };\n        } else if (evalArgs.length === 2) {\n          var _evalArg = evalArgs[0];\n          var evalArg1 = evalArgs[1];\n          return function evalFunctionNode(scope, args, context) {\n            return (name in scope ? getSafeProperty(scope, name) : fn)(_evalArg(scope, args, context), evalArg1(scope, args, context));\n          };\n        } else {\n          return function evalFunctionNode(scope, args, context) {\n            return (name in scope ? getSafeProperty(scope, name) : fn).apply(null, map(evalArgs, function (evalArg) {\n              return evalArg(scope, args, context);\n            }));\n          };\n        }\n      }\n    } else if (type.isAccessorNode(this.fn) && type.isIndexNode(this.fn.index) && this.fn.index.isObjectProperty()) {\n      // execute the function with the right context: the object of the AccessorNode\n      var evalObject = this.fn.object._compile(math, argNames);\n\n      var prop = this.fn.index.getObjectProperty();\n      var _rawArgs = this.args;\n      return function evalFunctionNode(scope, args, context) {\n        var object = evalObject(scope, args, context);\n        validateSafeMethod(object, prop);\n        var isRaw = object[prop] && object[prop].rawArgs;\n        return isRaw ? object[prop](_rawArgs, math, _extends({}, scope, args)) // \"raw\" evaluation\n        : object[prop].apply(object, map(evalArgs, function (evalArg) {\n          // \"regular\" evaluation\n          return evalArg(scope, args, context);\n        }));\n      };\n    } else {\n      // node.fn.isAccessorNode && !node.fn.index.isObjectProperty()\n      // we have to dynamically determine whether the function has a rawArgs property\n      var evalFn = this.fn._compile(math, argNames);\n\n      var _rawArgs2 = this.args;\n      return function evalFunctionNode(scope, args, context) {\n        var fn = evalFn(scope, args, context);\n        var isRaw = fn && fn.rawArgs;\n        return isRaw ? fn(_rawArgs2, math, _extends({}, scope, args)) // \"raw\" evaluation\n        : fn.apply(fn, map(evalArgs, function (evalArg) {\n          // \"regular\" evaluation\n          return evalArg(scope, args, context);\n        }));\n      };\n    }\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  FunctionNode.prototype.forEach = function (callback) {\n    for (var i = 0; i < this.args.length; i++) {\n      callback(this.args[i], 'args[' + i + ']', this);\n    }\n  };\n  /**\n   * Create a new FunctionNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {FunctionNode} Returns a transformed copy of the node\n   */\n\n\n  FunctionNode.prototype.map = function (callback) {\n    var fn = this.fn.map(callback);\n    var args = [];\n\n    for (var i = 0; i < this.args.length; i++) {\n      args[i] = this._ifNode(callback(this.args[i], 'args[' + i + ']', this));\n    }\n\n    return new FunctionNode(fn, args);\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {FunctionNode}\n   */\n\n\n  FunctionNode.prototype.clone = function () {\n    return new FunctionNode(this.fn, this.args.slice(0));\n  }; // backup Node's toString function\n  // @private\n\n\n  var nodeToString = FunctionNode.prototype.toString;\n  /**\n   * Get string representation. (wrapper function)\n   * This overrides parts of Node's toString function.\n   * If callback is an object containing callbacks, it\n   * calls the correct callback for the current node,\n   * otherwise it falls back to calling Node's toString\n   * function.\n   *\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n  FunctionNode.prototype.toString = function (options) {\n    var customString;\n    var name = this.fn.toString(options);\n\n    if (options && _typeof(options.handler) === 'object' && hasOwnProperty(options.handler, name)) {\n      // callback is a map of callback functions\n      customString = options.handler[name](this, options);\n    }\n\n    if (typeof customString !== 'undefined') {\n      return customString;\n    } // fall back to Node's toString\n\n\n    return nodeToString.call(this, options);\n  };\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  FunctionNode.prototype._toString = function (options) {\n    var args = this.args.map(function (arg) {\n      return arg.toString(options);\n    });\n    var fn = type.isFunctionAssignmentNode(this.fn) ? '(' + this.fn.toString(options) + ')' : this.fn.toString(options); // format the arguments like \"add(2, 4.2)\"\n\n    return fn + '(' + args.join(', ') + ')';\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  FunctionNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'FunctionNode',\n      fn: this.fn,\n      args: this.args\n    };\n  };\n  /**\n   * Instantiate an AssignmentNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"FunctionNode\", fn: ..., args: ...}`,\n   *                       where mathjs is optional\n   * @returns {FunctionNode}\n   */\n\n\n  FunctionNode.fromJSON = function (json) {\n    return new FunctionNode(json.fn, json.args);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  FunctionNode.prototype.toHTML = function (options) {\n    var args = this.args.map(function (arg) {\n      return arg.toHTML(options);\n    }); // format the arguments like \"add(2, 4.2)\"\n\n    return '<span class=\"math-function\">' + escape(this.fn) + '</span><span class=\"math-paranthesis math-round-parenthesis\">(</span>' + args.join('<span class=\"math-separator\">,</span>') + '<span class=\"math-paranthesis math-round-parenthesis\">)</span>';\n  };\n  /*\n   * Expand a LaTeX template\n   *\n   * @param {string} template\n   * @param {Node} node\n   * @param {Object} options\n   * @private\n   **/\n\n\n  function expandTemplate(template, node, options) {\n    var latex = ''; // Match everything of the form ${identifier} or ${identifier[2]} or $$\n    // while submatching identifier and 2 (in the second case)\n\n    var regex = new RegExp('\\\\$(?:\\\\{([a-z_][a-z_0-9]*)(?:\\\\[([0-9]+)\\\\])?\\\\}|\\\\$)', 'ig');\n    var inputPos = 0; // position in the input string\n\n    var match;\n\n    while ((match = regex.exec(template)) !== null) {\n      // go through all matches\n      // add everything in front of the match to the LaTeX string\n      latex += template.substring(inputPos, match.index);\n      inputPos = match.index;\n\n      if (match[0] === '$$') {\n        // escaped dollar sign\n        latex += '$';\n        inputPos++;\n      } else {\n        // template parameter\n        inputPos += match[0].length;\n        var property = node[match[1]];\n\n        if (!property) {\n          throw new ReferenceError('Template: Property ' + match[1] + ' does not exist.');\n        }\n\n        if (match[2] === undefined) {\n          // no square brackets\n          switch (_typeof(property)) {\n            case 'string':\n              latex += property;\n              break;\n\n            case 'object':\n              if (type.isNode(property)) {\n                latex += property.toTex(options);\n              } else if (Array.isArray(property)) {\n                // make array of Nodes into comma separated list\n                latex += property.map(function (arg, index) {\n                  if (type.isNode(arg)) {\n                    return arg.toTex(options);\n                  }\n\n                  throw new TypeError('Template: ' + match[1] + '[' + index + '] is not a Node.');\n                }).join(',');\n              } else {\n                throw new TypeError('Template: ' + match[1] + ' has to be a Node, String or array of Nodes');\n              }\n\n              break;\n\n            default:\n              throw new TypeError('Template: ' + match[1] + ' has to be a Node, String or array of Nodes');\n          }\n        } else {\n          // with square brackets\n          if (type.isNode(property[match[2]] && property[match[2]])) {\n            latex += property[match[2]].toTex(options);\n          } else {\n            throw new TypeError('Template: ' + match[1] + '[' + match[2] + '] is not a Node.');\n          }\n        }\n      }\n    }\n\n    latex += template.slice(inputPos); // append rest of the template\n\n    return latex;\n  } // backup Node's toTex function\n  // @private\n\n\n  var nodeToTex = FunctionNode.prototype.toTex;\n  /**\n   * Get LaTeX representation. (wrapper function)\n   * This overrides parts of Node's toTex function.\n   * If callback is an object containing callbacks, it\n   * calls the correct callback for the current node,\n   * otherwise it falls back to calling Node's toTex\n   * function.\n   *\n   * @param {Object} options\n   * @return {string}\n   */\n\n  FunctionNode.prototype.toTex = function (options) {\n    var customTex;\n\n    if (options && _typeof(options.handler) === 'object' && hasOwnProperty(options.handler, this.name)) {\n      // callback is a map of callback functions\n      customTex = options.handler[this.name](this, options);\n    }\n\n    if (typeof customTex !== 'undefined') {\n      return customTex;\n    } // fall back to Node's toTex\n\n\n    return nodeToTex.call(this, options);\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  FunctionNode.prototype._toTex = function (options) {\n    var args = this.args.map(function (arg) {\n      // get LaTeX of the arguments\n      return arg.toTex(options);\n    });\n    var latexConverter;\n\n    if (math[this.name] && (typeof math[this.name].toTex === 'function' || _typeof(math[this.name].toTex) === 'object' || typeof math[this.name].toTex === 'string')) {\n      // .toTex is a callback function\n      latexConverter = math[this.name].toTex;\n    }\n\n    var customToTex;\n\n    switch (_typeof(latexConverter)) {\n      case 'function':\n        // a callback function\n        customToTex = latexConverter(this, options);\n        break;\n\n      case 'string':\n        // a template string\n        customToTex = expandTemplate(latexConverter, this, options);\n        break;\n\n      case 'object':\n        // an object with different \"converters\" for different numbers of arguments\n        switch (_typeof(latexConverter[args.length])) {\n          case 'function':\n            customToTex = latexConverter[args.length](this, options);\n            break;\n\n          case 'string':\n            customToTex = expandTemplate(latexConverter[args.length], this, options);\n            break;\n        }\n\n    }\n\n    if (typeof customToTex !== 'undefined') {\n      return customToTex;\n    }\n\n    return expandTemplate(latex.defaultTemplate, this, options);\n  };\n  /**\n   * Get identifier.\n   * @return {string}\n   */\n\n\n  FunctionNode.prototype.getIdentifier = function () {\n    return this.type + ':' + this.name;\n  };\n\n  return FunctionNode;\n}\n\nexports.name = 'FunctionNode';\nexports.path = 'expression.node';\nexports.math = true; // request access to the math namespace as 5th argument of the factory function\n\nexports.factory = factory;","'use strict';\n\nvar util = require('../../utils/index');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var divideScalar = load(require('../arithmetic/divideScalar'));\n  var addScalar = load(require('../arithmetic/addScalar'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var unaryMinus = load(require('../arithmetic/unaryMinus'));\n  var det = load(require('../matrix/det'));\n  var identity = load(require('./identity'));\n  var abs = load(require('../arithmetic/abs'));\n  /**\n   * Calculate the inverse of a square matrix.\n   *\n   * Syntax:\n   *\n   *     math.inv(x)\n   *\n   * Examples:\n   *\n   *     math.inv([[1, 2], [3, 4]])  // returns [[-2, 1], [1.5, -0.5]]\n   *     math.inv(4)                 // returns 0.25\n   *     1 / 4                       // returns 0.25\n   *\n   * See also:\n   *\n   *     det, transpose\n   *\n   * @param {number | Complex | Array | Matrix} x     Matrix to be inversed\n   * @return {number | Complex | Array | Matrix} The inverse of `x`.\n   */\n\n  var inv = typed('inv', {\n    'Array | Matrix': function ArrayMatrix(x) {\n      var size = type.isMatrix(x) ? x.size() : util.array.size(x);\n\n      switch (size.length) {\n        case 1:\n          // vector\n          if (size[0] === 1) {\n            if (type.isMatrix(x)) {\n              return matrix([divideScalar(1, x.valueOf()[0])]);\n            } else {\n              return [divideScalar(1, x[0])];\n            }\n          } else {\n            throw new RangeError('Matrix must be square ' + '(size: ' + util.string.format(size) + ')');\n          }\n\n        case 2:\n          // two dimensional array\n          var rows = size[0];\n          var cols = size[1];\n\n          if (rows === cols) {\n            if (type.isMatrix(x)) {\n              return matrix(_inv(x.valueOf(), rows, cols), x.storage());\n            } else {\n              // return an Array\n              return _inv(x, rows, cols);\n            }\n          } else {\n            throw new RangeError('Matrix must be square ' + '(size: ' + util.string.format(size) + ')');\n          }\n\n        default:\n          // multi dimensional array\n          throw new RangeError('Matrix must be two dimensional ' + '(size: ' + util.string.format(size) + ')');\n      }\n    },\n    'any': function any(x) {\n      // scalar\n      return divideScalar(1, x); // FIXME: create a BigNumber one when configured for bignumbers\n    }\n  });\n  /**\n   * Calculate the inverse of a square matrix\n   * @param {Array[]} mat     A square matrix\n   * @param {number} rows     Number of rows\n   * @param {number} cols     Number of columns, must equal rows\n   * @return {Array[]} inv    Inverse matrix\n   * @private\n   */\n\n  function _inv(mat, rows, cols) {\n    var r, s, f, value, temp;\n\n    if (rows === 1) {\n      // this is a 1 x 1 matrix\n      value = mat[0][0];\n\n      if (value === 0) {\n        throw Error('Cannot calculate inverse, determinant is zero');\n      }\n\n      return [[divideScalar(1, value)]];\n    } else if (rows === 2) {\n      // this is a 2 x 2 matrix\n      var d = det(mat);\n\n      if (d === 0) {\n        throw Error('Cannot calculate inverse, determinant is zero');\n      }\n\n      return [[divideScalar(mat[1][1], d), divideScalar(unaryMinus(mat[0][1]), d)], [divideScalar(unaryMinus(mat[1][0]), d), divideScalar(mat[0][0], d)]];\n    } else {\n      // this is a matrix of 3 x 3 or larger\n      // calculate inverse using gauss-jordan elimination\n      //      http://en.wikipedia.org/wiki/Gaussian_elimination\n      //      http://mathworld.wolfram.com/MatrixInverse.html\n      //      http://math.uww.edu/~mcfarlat/inverse.htm\n      // make a copy of the matrix (only the arrays, not of the elements)\n      var A = mat.concat();\n\n      for (r = 0; r < rows; r++) {\n        A[r] = A[r].concat();\n      } // create an identity matrix which in the end will contain the\n      // matrix inverse\n\n\n      var B = identity(rows).valueOf(); // loop over all columns, and perform row reductions\n\n      for (var c = 0; c < cols; c++) {\n        // Pivoting: Swap row c with row r, where row r contains the largest element A[r][c]\n        var ABig = abs(A[c][c]);\n        var rBig = c;\n        r = c + 1;\n\n        while (r < rows) {\n          if (abs(A[r][c]) > ABig) {\n            ABig = abs(A[r][c]);\n            rBig = r;\n          }\n\n          r++;\n        }\n\n        if (ABig === 0) {\n          throw Error('Cannot calculate inverse, determinant is zero');\n        }\n\n        r = rBig;\n\n        if (r !== c) {\n          temp = A[c];\n          A[c] = A[r];\n          A[r] = temp;\n          temp = B[c];\n          B[c] = B[r];\n          B[r] = temp;\n        } // eliminate non-zero values on the other rows at column c\n\n\n        var Ac = A[c];\n        var Bc = B[c];\n\n        for (r = 0; r < rows; r++) {\n          var Ar = A[r];\n          var Br = B[r];\n\n          if (r !== c) {\n            // eliminate value at column c and row r\n            if (Ar[c] !== 0) {\n              f = divideScalar(unaryMinus(Ar[c]), Ac[c]); // add (f * row c) to row r to eliminate the value\n              // at column c\n\n              for (s = c; s < cols; s++) {\n                Ar[s] = addScalar(Ar[s], multiply(f, Ac[s]));\n              }\n\n              for (s = 0; s < cols; s++) {\n                Br[s] = addScalar(Br[s], multiply(f, Bc[s]));\n              }\n            }\n          } else {\n            // normalize value at Acc to 1,\n            // divide each value on row r with the value at Acc\n            f = Ac[c];\n\n            for (s = c; s < cols; s++) {\n              Ar[s] = divideScalar(Ar[s], f);\n            }\n\n            for (s = 0; s < cols; s++) {\n              Br[s] = divideScalar(Br[s], f);\n            }\n          }\n        }\n      }\n\n      return B;\n    }\n  }\n\n  inv.toTex = {\n    1: \"\\\\left(${args[0]}\\\\right)^{-1}\"\n  };\n  return inv;\n}\n\nexports.name = 'inv';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Compute the complex conjugate of a complex value.\n   * If `x = a+bi`, the complex conjugate of `x` is `a - bi`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.conj(x)\n   *\n   * Examples:\n   *\n   *    math.conj(math.complex('2 + 3i'))  // returns Complex 2 - 3i\n   *    math.conj(math.complex('2 - 3i'))  // returns Complex 2 + 3i\n   *    math.conj(math.complex('-5.2i'))  // returns Complex 5.2i\n   *\n   * See also:\n   *\n   *    re, im, arg, abs\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x\n   *            A complex number or array with complex numbers\n   * @return {number | BigNumber | Complex | Array | Matrix}\n   *            The complex conjugate of x\n   */\n  var conj = typed('conj', {\n    'number': function number(x) {\n      return x;\n    },\n    'BigNumber': function BigNumber(x) {\n      return x;\n    },\n    'Complex': function Complex(x) {\n      return x.conjugate();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, conj);\n    }\n  });\n  conj.toTex = {\n    1: \"\\\\left(${args[0]}\\\\right)^*\"\n  };\n  return conj;\n}\n\nexports.name = 'conj';\nexports.factory = factory;","'use strict';\n\nvar clone = require('../../utils/object').clone;\n\nvar format = require('../../utils/string').format;\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var DenseMatrix = type.DenseMatrix;\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Transpose a matrix. All values of the matrix are reflected over its\n   * main diagonal. Only applicable to two dimensional matrices containing\n   * a vector (i.e. having size `[1,n]` or `[n,1]`). One dimensional\n   * vectors and scalars return the input unchanged.\n   *\n   * Syntax:\n   *\n   *     math.transpose(x)\n   *\n   * Examples:\n   *\n   *     const A = [[1, 2, 3], [4, 5, 6]]\n   *     math.transpose(A)               // returns [[1, 4], [2, 5], [3, 6]]\n   *\n   * See also:\n   *\n   *     diag, inv, subset, squeeze\n   *\n   * @param {Array | Matrix} x  Matrix to be transposed\n   * @return {Array | Matrix}   The transposed matrix\n   */\n\n  var transpose = typed('transpose', {\n    'Array': function Array(x) {\n      // use dense matrix implementation\n      return transpose(matrix(x)).valueOf();\n    },\n    'Matrix': function Matrix(x) {\n      // matrix size\n      var size = x.size(); // result\n\n      var c; // process dimensions\n\n      switch (size.length) {\n        case 1:\n          // vector\n          c = x.clone();\n          break;\n\n        case 2:\n          // rows and columns\n          var rows = size[0];\n          var columns = size[1]; // check columns\n\n          if (columns === 0) {\n            // throw exception\n            throw new RangeError('Cannot transpose a 2D matrix with no columns (size: ' + format(size) + ')');\n          } // process storage format\n\n\n          switch (x.storage()) {\n            case 'dense':\n              c = _denseTranspose(x, rows, columns);\n              break;\n\n            case 'sparse':\n              c = _sparseTranspose(x, rows, columns);\n              break;\n          }\n\n          break;\n\n        default:\n          // multi dimensional\n          throw new RangeError('Matrix must be a vector or two dimensional (size: ' + format(this._size) + ')');\n      }\n\n      return c;\n    },\n    // scalars\n    'any': function any(x) {\n      return clone(x);\n    }\n  });\n\n  function _denseTranspose(m, rows, columns) {\n    // matrix array\n    var data = m._data; // transposed matrix data\n\n    var transposed = [];\n    var transposedRow; // loop columns\n\n    for (var j = 0; j < columns; j++) {\n      // initialize row\n      transposedRow = transposed[j] = []; // loop rows\n\n      for (var i = 0; i < rows; i++) {\n        // set data\n        transposedRow[i] = clone(data[i][j]);\n      }\n    } // return matrix\n\n\n    return new DenseMatrix({\n      data: transposed,\n      size: [columns, rows],\n      datatype: m._datatype\n    });\n  }\n\n  function _sparseTranspose(m, rows, columns) {\n    // matrix arrays\n    var values = m._values;\n    var index = m._index;\n    var ptr = m._ptr; // result matrices\n\n    var cvalues = values ? [] : undefined;\n    var cindex = [];\n    var cptr = []; // row counts\n\n    var w = [];\n\n    for (var x = 0; x < rows; x++) {\n      w[x] = 0;\n    } // vars\n\n\n    var p, l, j; // loop values in matrix\n\n    for (p = 0, l = index.length; p < l; p++) {\n      // number of values in row\n      w[index[p]]++;\n    } // cumulative sum\n\n\n    var sum = 0; // initialize cptr with the cummulative sum of row counts\n\n    for (var i = 0; i < rows; i++) {\n      // update cptr\n      cptr.push(sum); // update sum\n\n      sum += w[i]; // update w\n\n      w[i] = cptr[i];\n    } // update cptr\n\n\n    cptr.push(sum); // loop columns\n\n    for (j = 0; j < columns; j++) {\n      // values & index in column\n      for (var k0 = ptr[j], k1 = ptr[j + 1], k = k0; k < k1; k++) {\n        // C values & index\n        var q = w[index[k]]++; // C[j, i] = A[i, j]\n\n        cindex[q] = j; // check we need to process values (pattern matrix)\n\n        if (values) {\n          cvalues[q] = clone(values[k]);\n        }\n      }\n    } // return matrix\n\n\n    return new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [columns, rows],\n      datatype: m._datatype\n    });\n  }\n\n  transpose.toTex = {\n    1: \"\\\\left(${args[0]}\\\\right)\".concat(latex.operators['transpose'])\n  };\n  return transpose;\n}\n\nexports.name = 'transpose';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Test whether a value is positive: larger than zero.\n   * The function supports types `number`, `BigNumber`, `Fraction`, and `Unit`.\n   *\n   * The function is evaluated element-wise in case of Array or Matrix input.\n   *\n   * Syntax:\n   *\n   *     math.isPositive(x)\n   *\n   * Examples:\n   *\n   *    math.isPositive(3)                     // returns true\n   *    math.isPositive(-2)                    // returns false\n   *    math.isPositive(0)                     // returns false\n   *    math.isPositive(-0)                    // returns false\n   *    math.isPositive(0.5)                   // returns true\n   *    math.isPositive(math.bignumber(2))     // returns true\n   *    math.isPositive(math.fraction(-2, 5))  // returns false\n   *    math.isPositive(math.fraction(1,3))    // returns false\n   *    math.isPositive('2')                   // returns true\n   *    math.isPositive([2, 0, -3])            // returns [true, false, false]\n   *\n   * See also:\n   *\n   *    isNumeric, isZero, isNegative, isInteger\n   *\n   * @param {number | BigNumber | Fraction | Unit | Array | Matrix} x  Value to be tested\n   * @return {boolean}  Returns true when `x` is larger than zero.\n   *                    Throws an error in case of an unknown data type.\n   */\n  var isPositive = typed('isPositive', {\n    'number': function number(x) {\n      return x > 0;\n    },\n    'BigNumber': function BigNumber(x) {\n      return !x.isNeg() && !x.isZero() && !x.isNaN();\n    },\n    'Fraction': function Fraction(x) {\n      return x.s > 0 && x.n > 0;\n    },\n    'Unit': function Unit(x) {\n      return isPositive(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, isPositive);\n    }\n  });\n  return isPositive;\n}\n\nexports.name = 'isPositive';\nexports.factory = factory;","'use strict';\n\nvar scatter = require('./../../../utils/collection/scatter');\n\nvar DimensionError = require('../../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var equalScalar = load(require('../../../function/relational/equalScalar'));\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Iterates over SparseMatrix A and SparseMatrix B nonzero items and invokes the callback function f(Aij, Bij).\n   * Callback function invoked (Anz U Bnz) times, where Anz and Bnz are the nonzero elements in both matrices.\n   *\n   *\n   *          ┌  f(Aij, Bij)  ; A(i,j) !== 0 && B(i,j) !== 0\n   * C(i,j) = ┤\n   *          └  0            ; otherwise\n   *\n   *\n   * @param {Matrix}   a                 The SparseMatrix instance (A)\n   * @param {Matrix}   b                 The SparseMatrix instance (B)\n   * @param {Function} callback          The f(Aij,Bij) operation to invoke\n   *\n   * @return {Matrix}                    SparseMatrix (C)\n   *\n   * see https://github.com/josdejong/mathjs/pull/346#issuecomment-97620294\n   */\n\n  var algorithm06 = function algorithm06(a, b, callback) {\n    // sparse matrix arrays\n    var avalues = a._values;\n    var asize = a._size;\n    var adt = a._datatype; // sparse matrix arrays\n\n    var bvalues = b._values;\n    var bsize = b._size;\n    var bdt = b._datatype; // validate dimensions\n\n    if (asize.length !== bsize.length) {\n      throw new DimensionError(asize.length, bsize.length);\n    } // check rows & columns\n\n\n    if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) {\n      throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string' && adt === bdt) {\n      // datatype\n      dt = adt; // find signature that matches (dt, dt)\n\n      eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // result arrays\n\n\n    var cvalues = avalues && bvalues ? [] : undefined;\n    var cindex = [];\n    var cptr = []; // matrix\n\n    var c = new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [rows, columns],\n      datatype: dt\n    }); // workspaces\n\n    var x = cvalues ? [] : undefined; // marks indicating we have a value in x for a given column\n\n    var w = []; // marks indicating value in a given row has been updated\n\n    var u = []; // loop columns\n\n    for (var j = 0; j < columns; j++) {\n      // update cptr\n      cptr[j] = cindex.length; // columns mark\n\n      var mark = j + 1; // scatter the values of A(:,j) into workspace\n\n      scatter(a, j, w, x, u, mark, c, cf); // scatter the values of B(:,j) into workspace\n\n      scatter(b, j, w, x, u, mark, c, cf); // check we need to process values (non pattern matrix)\n\n      if (x) {\n        // initialize first index in j\n        var k = cptr[j]; // loop index in j\n\n        while (k < cindex.length) {\n          // row\n          var i = cindex[k]; // check function was invoked on current row (Aij !=0 && Bij != 0)\n\n          if (u[i] === mark) {\n            // value @ i\n            var v = x[i]; // check for zero value\n\n            if (!eq(v, zero)) {\n              // push value\n              cvalues.push(v); // increment pointer\n\n              k++;\n            } else {\n              // remove value @ i, do not increment pointer\n              cindex.splice(k, 1);\n            }\n          } else {\n            // remove value @ i, do not increment pointer\n            cindex.splice(k, 1);\n          }\n        }\n      } else {\n        // initialize first index in j\n        var p = cptr[j]; // loop index in j\n\n        while (p < cindex.length) {\n          // row\n          var r = cindex[p]; // check function was invoked on current row (Aij !=0 && Bij != 0)\n\n          if (u[r] !== mark) {\n            // remove value @ i, do not increment pointer\n            cindex.splice(p, 1);\n          } else {\n            // increment pointer\n            p++;\n          }\n        }\n      }\n    } // update cptr\n\n\n    cptr[columns] = cindex.length; // return sparse matrix\n\n    return c;\n  };\n\n  return algorithm06;\n}\n\nexports.name = 'algorithm06';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var gamma = load(require('./gamma'));\n\n  var latex = require('../../utils/latex');\n  /**\n   * Compute the factorial of a value\n   *\n   * Factorial only supports an integer value as argument.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.factorial(n)\n   *\n   * Examples:\n   *\n   *    math.factorial(5)    // returns 120\n   *    math.factorial(3)    // returns 6\n   *\n   * See also:\n   *\n   *    combinations, gamma, permutations\n   *\n   * @param {number | BigNumber | Array | Matrix} n   An integer number\n   * @return {number | BigNumber | Array | Matrix}    The factorial of `n`\n   */\n\n\n  var factorial = typed('factorial', {\n    'number': function number(n) {\n      if (n < 0) {\n        throw new Error('Value must be non-negative');\n      }\n\n      return gamma(n + 1);\n    },\n    'BigNumber': function BigNumber(n) {\n      if (n.isNegative()) {\n        throw new Error('Value must be non-negative');\n      }\n\n      return gamma(n.plus(1));\n    },\n    'Array | Matrix': function ArrayMatrix(n) {\n      return deepMap(n, factorial);\n    }\n  });\n  factorial.toTex = {\n    1: \"\\\\left(${args[0]}\\\\right)\".concat(latex.operators['factorial'])\n  };\n  return factorial;\n}\n\nexports.name = 'factorial';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar product = require('./product');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Compute the number of ways of picking `k` unordered outcomes from `n`\n   * possibilities.\n   *\n   * Combinations only takes integer arguments.\n   * The following condition must be enforced: k <= n.\n   *\n   * Syntax:\n   *\n   *     math.combinations(n, k)\n   *\n   * Examples:\n   *\n   *    math.combinations(7, 5) // returns 21\n   *\n   * See also:\n   *\n   *    permutations, factorial\n   *\n   * @param {number | BigNumber} n    Total number of objects in the set\n   * @param {number | BigNumber} k    Number of objects in the subset\n   * @return {number | BigNumber}     Number of possible combinations.\n   */\n  var combinations = typed('combinations', {\n    'number, number': function numberNumber(n, k) {\n      var prodrange, nMinusk;\n\n      if (!isInteger(n) || n < 0) {\n        throw new TypeError('Positive integer value expected in function combinations');\n      }\n\n      if (!isInteger(k) || k < 0) {\n        throw new TypeError('Positive integer value expected in function combinations');\n      }\n\n      if (k > n) {\n        throw new TypeError('k must be less than or equal to n');\n      }\n\n      nMinusk = n - k;\n\n      if (k < nMinusk) {\n        prodrange = product(nMinusk + 1, n);\n        return prodrange / product(1, k);\n      }\n\n      prodrange = product(k + 1, n);\n      return prodrange / product(1, nMinusk);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(n, k) {\n      var max, result, i, ii;\n      var one = new type.BigNumber(1);\n\n      if (!isPositiveInteger(n) || !isPositiveInteger(k)) {\n        throw new TypeError('Positive integer value expected in function combinations');\n      }\n\n      if (k.gt(n)) {\n        throw new TypeError('k must be less than n in function combinations');\n      }\n\n      max = n.minus(k);\n      if (k.lt(max)) max = k;\n      result = one;\n\n      for (i = one, ii = n.minus(max); i.lte(ii); i = i.plus(1)) {\n        result = result.times(max.plus(i)).dividedBy(i);\n      }\n\n      return result;\n    } // TODO: implement support for collection in combinations\n\n  });\n  combinations.toTex = {\n    2: \"\\\\binom{${args[0]}}{${args[1]}}\"\n  };\n  return combinations;\n}\n/**\n * Test whether BigNumber n is a positive integer\n * @param {BigNumber} n\n * @returns {boolean} isPositiveInteger\n */\n\n\nfunction isPositiveInteger(n) {\n  return n.isInteger() && n.gte(0);\n}\n\nexports.name = 'combinations';\nexports.factory = factory;","'use strict';\n\nvar clone = require('../../utils/object').clone;\n\nvar array = require('../../utils/array');\n\nvar IndexError = require('../../error/IndexError');\n\nvar DimensionError = require('../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var isInteger = load(require('../utils/isInteger'));\n  /**\n   * Concatenate two or more matrices.\n   *\n   * Syntax:\n   *\n   *     math.concat(A, B, C, ...)\n   *     math.concat(A, B, C, ..., dim)\n   *\n   * Where:\n   *\n   * - `dim: number` is a zero-based dimension over which to concatenate the matrices.\n   *   By default the last dimension of the matrices.\n   *\n   * Examples:\n   *\n   *    const A = [[1, 2], [5, 6]]\n   *    const B = [[3, 4], [7, 8]]\n   *\n   *    math.concat(A, B)                  // returns [[1, 2, 3, 4], [5, 6, 7, 8]]\n   *    math.concat(A, B, 0)               // returns [[1, 2], [5, 6], [3, 4], [7, 8]]\n   *    math.concat('hello', ' ', 'world') // returns 'hello world'\n   *\n   * See also:\n   *\n   *    size, squeeze, subset, transpose\n   *\n   * @param {... Array | Matrix} args     Two or more matrices\n   * @return {Array | Matrix} Concatenated matrix\n   */\n\n  var concat = typed('concat', {\n    // TODO: change signature to '...Array | Matrix, dim?' when supported\n    '...Array | Matrix | number | BigNumber': function ArrayMatrixNumberBigNumber(args) {\n      var i;\n      var len = args.length;\n      var dim = -1; // zero-based dimension\n\n      var prevDim;\n      var asMatrix = false;\n      var matrices = []; // contains multi dimensional arrays\n\n      for (i = 0; i < len; i++) {\n        var arg = args[i]; // test whether we need to return a Matrix (if not we return an Array)\n\n        if (type.isMatrix(arg)) {\n          asMatrix = true;\n        }\n\n        if (type.isNumber(arg) || type.isBigNumber(arg)) {\n          if (i !== len - 1) {\n            throw new Error('Dimension must be specified as last argument');\n          } // last argument contains the dimension on which to concatenate\n\n\n          prevDim = dim;\n          dim = arg.valueOf(); // change BigNumber to number\n\n          if (!isInteger(dim)) {\n            throw new TypeError('Integer number expected for dimension');\n          }\n\n          if (dim < 0 || i > 0 && dim > prevDim) {\n            // TODO: would be more clear when throwing a DimensionError here\n            throw new IndexError(dim, prevDim + 1);\n          }\n        } else {\n          // this is a matrix or array\n          var m = clone(arg).valueOf();\n          var size = array.size(m);\n          matrices[i] = m;\n          prevDim = dim;\n          dim = size.length - 1; // verify whether each of the matrices has the same number of dimensions\n\n          if (i > 0 && dim !== prevDim) {\n            throw new DimensionError(prevDim + 1, dim + 1);\n          }\n        }\n      }\n\n      if (matrices.length === 0) {\n        throw new SyntaxError('At least one matrix expected');\n      }\n\n      var res = matrices.shift();\n\n      while (matrices.length) {\n        res = _concat(res, matrices.shift(), dim, 0);\n      }\n\n      return asMatrix ? matrix(res) : res;\n    },\n    '...string': function string(args) {\n      return args.join('');\n    }\n  });\n  concat.toTex = undefined; // use default template\n\n  return concat;\n}\n/**\n * Recursively concatenate two matrices.\n * The contents of the matrices is not cloned.\n * @param {Array} a             Multi dimensional array\n * @param {Array} b             Multi dimensional array\n * @param {number} concatDim    The dimension on which to concatenate (zero-based)\n * @param {number} dim          The current dim (zero-based)\n * @return {Array} c            The concatenated matrix\n * @private\n */\n\n\nfunction _concat(a, b, concatDim, dim) {\n  if (dim < concatDim) {\n    // recurse into next dimension\n    if (a.length !== b.length) {\n      throw new DimensionError(a.length, b.length);\n    }\n\n    var c = [];\n\n    for (var i = 0; i < a.length; i++) {\n      c[i] = _concat(a[i], b[i], concatDim, dim + 1);\n    }\n\n    return c;\n  } else {\n    // concatenate this dimension\n    return a.concat(b);\n  }\n}\n\nexports.name = 'concat';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Test whether a value is NaN (not a number).\n   * The function supports types `number`, `BigNumber`, `Fraction`, `Unit` and `Complex`.\n   *\n   * The function is evaluated element-wise in case of Array or Matrix input.\n   *\n   * Syntax:\n   *\n   *     math.isNaN(x)\n   *\n   * Examples:\n   *\n   *    math.isNaN(3)                     // returns false\n   *    math.isNaN(NaN)                   // returns true\n   *    math.isNaN(0)                     // returns false\n   *    math.isNaN(math.bignumber(NaN))   // returns true\n   *    math.isNaN(math.bignumber(0))     // returns false\n   *    math.isNaN(math.fraction(-2, 5))  // returns false\n   *    math.isNaN('-2')                  // returns false\n   *    math.isNaN([2, 0, -3, NaN]')      // returns [false, false, false, true]\n   *\n   * See also:\n   *\n   *    isNumeric, isNegative, isPositive, isZero, isInteger\n   *\n   * @param {number | BigNumber | Fraction | Unit | Array | Matrix} x  Value to be tested\n   * @return {boolean}  Returns true when `x` is NaN.\n   *                    Throws an error in case of an unknown data type.\n   */\n  var isNaN = typed('isNaN', {\n    'number': function number(x) {\n      return Number.isNaN(x);\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.isNaN();\n    },\n    'Fraction': function Fraction(x) {\n      return false;\n    },\n    'Complex': function Complex(x) {\n      return x.isNaN();\n    },\n    'Unit': function Unit(x) {\n      return Number.isNaN(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, Number.isNaN);\n    }\n  });\n  return isNaN;\n}\n\nexports.name = 'isNaN';\nexports.factory = factory;","'use strict';\n\nvar arraySize = require('../array').size;\n\nvar isMatrix = require('../collection/isMatrix');\n\nvar IndexError = require('../../error/IndexError');\n/**\n * Reduce a given matrix or array to a new matrix or\n * array with one less dimension, applying the given\n * callback in the selected dimension.\n * @param {Array | Matrix} mat\n * @param {number} dim\n * @param {Function} callback\n * @return {Array | Matrix} res\n */\n\n\nmodule.exports = function (mat, dim, callback) {\n  var size = Array.isArray(mat) ? arraySize(mat) : mat.size();\n\n  if (dim < 0 || dim >= size.length) {\n    // TODO: would be more clear when throwing a DimensionError here\n    throw new IndexError(dim, size.length);\n  }\n\n  if (isMatrix(mat)) {\n    return mat.create(_reduce(mat.valueOf(), dim, callback));\n  } else {\n    return _reduce(mat, dim, callback);\n  }\n};\n/**\n * Recursively reduce a matrix\n * @param {Array} mat\n * @param {number} dim\n * @param {Function} callback\n * @returns {Array} ret\n * @private\n */\n\n\nfunction _reduce(mat, dim, callback) {\n  var i, ret, val, tran;\n\n  if (dim <= 0) {\n    if (!Array.isArray(mat[0])) {\n      val = mat[0];\n\n      for (i = 1; i < mat.length; i++) {\n        val = callback(val, mat[i]);\n      }\n\n      return val;\n    } else {\n      tran = _switch(mat);\n      ret = [];\n\n      for (i = 0; i < tran.length; i++) {\n        ret[i] = _reduce(tran[i], dim - 1, callback);\n      }\n\n      return ret;\n    }\n  } else {\n    ret = [];\n\n    for (i = 0; i < mat.length; i++) {\n      ret[i] = _reduce(mat[i], dim - 1, callback);\n    }\n\n    return ret;\n  }\n}\n/**\n * Transpose a matrix\n * @param {Array} mat\n * @returns {Array} ret\n * @private\n */\n\n\nfunction _switch(mat) {\n  var I = mat.length;\n  var J = mat[0].length;\n  var i, j;\n  var ret = [];\n\n  for (j = 0; j < J; j++) {\n    var tmp = [];\n\n    for (i = 0; i < I; i++) {\n      tmp.push(mat[i][j]);\n    }\n\n    ret.push(tmp);\n  }\n\n  return ret;\n}","export default function _defineProperty(obj, key, value) {\n  if (key in obj) {\n    Object.defineProperty(obj, key, {\n      value: value,\n      enumerable: true,\n      configurable: true,\n      writable: true\n    });\n  } else {\n    obj[key] = value;\n  }\n\n  return obj;\n}","\"use strict\";\n\nvar _CSSTransition = _interopRequireDefault(require(\"./CSSTransition\"));\n\nvar _ReplaceTransition = _interopRequireDefault(require(\"./ReplaceTransition\"));\n\nvar _TransitionGroup = _interopRequireDefault(require(\"./TransitionGroup\"));\n\nvar _Transition = _interopRequireDefault(require(\"./Transition\"));\n\nfunction _interopRequireDefault(obj) {\n  return obj && obj.__esModule ? obj : {\n    default: obj\n  };\n}\n\nmodule.exports = {\n  Transition: _Transition.default,\n  TransitionGroup: _TransitionGroup.default,\n  ReplaceTransition: _ReplaceTransition.default,\n  CSSTransition: _CSSTransition.default\n};","'use strict';\n\nvar utils = require('./utils');\n\nvar normalizeHeaderName = require('./helpers/normalizeHeaderName');\n\nvar DEFAULT_CONTENT_TYPE = {\n  'Content-Type': 'application/x-www-form-urlencoded'\n};\n\nfunction setContentTypeIfUnset(headers, value) {\n  if (!utils.isUndefined(headers) && utils.isUndefined(headers['Content-Type'])) {\n    headers['Content-Type'] = value;\n  }\n}\n\nfunction getDefaultAdapter() {\n  var adapter;\n\n  if (typeof XMLHttpRequest !== 'undefined') {\n    // For browsers use XHR adapter\n    adapter = require('./adapters/xhr');\n  } else if (typeof process !== 'undefined') {\n    // For node use HTTP adapter\n    adapter = require('./adapters/http');\n  }\n\n  return adapter;\n}\n\nvar defaults = {\n  adapter: getDefaultAdapter(),\n  transformRequest: [function transformRequest(data, headers) {\n    normalizeHeaderName(headers, 'Content-Type');\n\n    if (utils.isFormData(data) || utils.isArrayBuffer(data) || utils.isBuffer(data) || utils.isStream(data) || utils.isFile(data) || utils.isBlob(data)) {\n      return data;\n    }\n\n    if (utils.isArrayBufferView(data)) {\n      return data.buffer;\n    }\n\n    if (utils.isURLSearchParams(data)) {\n      setContentTypeIfUnset(headers, 'application/x-www-form-urlencoded;charset=utf-8');\n      return data.toString();\n    }\n\n    if (utils.isObject(data)) {\n      setContentTypeIfUnset(headers, 'application/json;charset=utf-8');\n      return JSON.stringify(data);\n    }\n\n    return data;\n  }],\n  transformResponse: [function transformResponse(data) {\n    /*eslint no-param-reassign:0*/\n    if (typeof data === 'string') {\n      try {\n        data = JSON.parse(data);\n      } catch (e) {\n        /* Ignore */\n      }\n    }\n\n    return data;\n  }],\n\n  /**\n   * A timeout in milliseconds to abort a request. If set to 0 (default) a\n   * timeout is not created.\n   */\n  timeout: 0,\n  xsrfCookieName: 'XSRF-TOKEN',\n  xsrfHeaderName: 'X-XSRF-TOKEN',\n  maxContentLength: -1,\n  validateStatus: function validateStatus(status) {\n    return status >= 200 && status < 300;\n  }\n};\ndefaults.headers = {\n  common: {\n    'Accept': 'application/json, text/plain, */*'\n  }\n};\nutils.forEach(['delete', 'get', 'head'], function forEachMethodNoData(method) {\n  defaults.headers[method] = {};\n});\nutils.forEach(['post', 'put', 'patch'], function forEachMethodWithData(method) {\n  defaults.headers[method] = utils.merge(DEFAULT_CONTENT_TYPE);\n});\nmodule.exports = defaults;","'use strict';\n/**\n * Test whether a value is a BigNumber\n * @param {*} x\n * @return {boolean}\n */\n\nmodule.exports = function isBigNumber(x) {\n  return x && x.constructor.prototype.isBigNumber || false;\n};","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar Complex = require('complex.js');\n\nvar format = require('../../utils/number').format;\n\nvar isNumber = require('../../utils/number').isNumber;\n\nfunction factory(type, config, load, typed, math) {\n  /**\n   * Attach type information\n   */\n  Complex.prototype.type = 'Complex';\n  Complex.prototype.isComplex = true;\n  /**\n   * Get a JSON representation of the complex number\n   * @returns {Object} Returns a JSON object structured as:\n   *                   `{\"mathjs\": \"Complex\", \"re\": 2, \"im\": 3}`\n   */\n\n  Complex.prototype.toJSON = function () {\n    return {\n      mathjs: 'Complex',\n      re: this.re,\n      im: this.im\n    };\n  };\n  /*\n   * Return the value of the complex number in polar notation\n   * The angle phi will be set in the interval of [-pi, pi].\n   * @return {{r: number, phi: number}} Returns and object with properties r and phi.\n   */\n\n\n  Complex.prototype.toPolar = function () {\n    return {\n      r: this.abs(),\n      phi: this.arg()\n    };\n  };\n  /**\n   * Get a string representation of the complex number,\n   * with optional formatting options.\n   * @param {Object | number | Function} [options]  Formatting options. See\n   *                                                lib/utils/number:format for a\n   *                                                description of the available\n   *                                                options.\n   * @return {string} str\n   */\n\n\n  Complex.prototype.format = function (options) {\n    var str = '';\n    var im = this.im;\n    var re = this.re;\n    var strRe = format(this.re, options);\n    var strIm = format(this.im, options); // round either re or im when smaller than the configured precision\n\n    var precision = isNumber(options) ? options : options ? options.precision : null;\n\n    if (precision !== null) {\n      var epsilon = Math.pow(10, -precision);\n\n      if (Math.abs(re / im) < epsilon) {\n        re = 0;\n      }\n\n      if (Math.abs(im / re) < epsilon) {\n        im = 0;\n      }\n    }\n\n    if (im === 0) {\n      // real value\n      str = strRe;\n    } else if (re === 0) {\n      // purely complex value\n      if (im === 1) {\n        str = 'i';\n      } else if (im === -1) {\n        str = '-i';\n      } else {\n        str = strIm + 'i';\n      }\n    } else {\n      // complex value\n      if (im < 0) {\n        if (im === -1) {\n          str = strRe + ' - i';\n        } else {\n          str = strRe + ' - ' + strIm.substring(1) + 'i';\n        }\n      } else {\n        if (im === 1) {\n          str = strRe + ' + i';\n        } else {\n          str = strRe + ' + ' + strIm + 'i';\n        }\n      }\n    }\n\n    return str;\n  };\n  /**\n   * Create a complex number from polar coordinates\n   *\n   * Usage:\n   *\n   *     Complex.fromPolar(r: number, phi: number) : Complex\n   *     Complex.fromPolar({r: number, phi: number}) : Complex\n   *\n   * @param {*} args...\n   * @return {Complex}\n   */\n\n\n  Complex.fromPolar = function (args) {\n    switch (arguments.length) {\n      case 1:\n        var arg = arguments[0];\n\n        if (_typeof(arg) === 'object') {\n          return Complex(arg);\n        }\n\n        throw new TypeError('Input has to be an object with r and phi keys.');\n\n      case 2:\n        var r = arguments[0];\n        var phi = arguments[1];\n\n        if (isNumber(r)) {\n          if (type.isUnit(phi) && phi.hasBase('ANGLE')) {\n            // convert unit to a number in radians\n            phi = phi.toNumber('rad');\n          }\n\n          if (isNumber(phi)) {\n            return new Complex({\n              r: r,\n              phi: phi\n            });\n          }\n\n          throw new TypeError('Phi is not a number nor an angle unit.');\n        } else {\n          throw new TypeError('Radius r is not a number.');\n        }\n\n      default:\n        throw new SyntaxError('Wrong number of arguments in function fromPolar');\n    }\n  };\n\n  Complex.prototype.valueOf = Complex.prototype.toString;\n  /**\n   * Create a Complex number from a JSON object\n   * @param {Object} json  A JSON Object structured as\n   *                       {\"mathjs\": \"Complex\", \"re\": 2, \"im\": 3}\n   *                       All properties are optional, default values\n   *                       for `re` and `im` are 0.\n   * @return {Complex} Returns a new Complex number\n   */\n\n  Complex.fromJSON = function (json) {\n    return new Complex(json);\n  }; // apply the current epsilon\n\n\n  Complex.EPSILON = config.epsilon; // listen for changed in the configuration, automatically apply changed epsilon\n\n  math.on('config', function (curr, prev) {\n    if (curr.epsilon !== prev.epsilon) {\n      Complex.EPSILON = curr.epsilon;\n    }\n  });\n  /**\n   * Compare two complex numbers, `a` and `b`:\n   *\n   * - Returns 1 when the real part of `a` is larger than the real part of `b`\n   * - Returns -1 when the real part of `a` is smaller than the real part of `b`\n   * - Returns 1 when the real parts are equal\n   *   and the imaginary part of `a` is larger than the imaginary part of `b`\n   * - Returns -1 when the real parts are equal\n   *   and the imaginary part of `a` is smaller than the imaginary part of `b`\n   * - Returns 0 when both real and imaginary parts are equal.\n   *\n   * @params {Complex} a\n   * @params {Complex} b\n   * @returns {number} Returns the comparison result: -1, 0, or 1\n   */\n\n  Complex.compare = function (a, b) {\n    if (a.re > b.re) {\n      return 1;\n    }\n\n    if (a.re < b.re) {\n      return -1;\n    }\n\n    if (a.im > b.im) {\n      return 1;\n    }\n\n    if (a.im < b.im) {\n      return -1;\n    }\n\n    return 0;\n  };\n\n  return Complex;\n}\n\nexports.name = 'Complex';\nexports.path = 'type';\nexports.factory = factory;\nexports.math = true; // request access to the math namespace","'use strict';\n\nvar deepMap = require('../../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create a fraction convert a value to a fraction.\n   *\n   * Syntax:\n   *     math.fraction(numerator, denominator)\n   *     math.fraction({n: numerator, d: denominator})\n   *     math.fraction(matrix: Array | Matrix)         Turn all matrix entries\n   *                                                   into fractions\n   *\n   * Examples:\n   *\n   *     math.fraction(1, 3)\n   *     math.fraction('2/3')\n   *     math.fraction({n: 2, d: 3})\n   *     math.fraction([0.2, 0.25, 1.25])\n   *\n   * See also:\n   *\n   *    bignumber, number, string, unit\n   *\n   * @param {number | string | Fraction | BigNumber | Array | Matrix} [args]\n   *            Arguments specifying the numerator and denominator of\n   *            the fraction\n   * @return {Fraction | Array | Matrix} Returns a fraction\n   */\n  var fraction = typed('fraction', {\n    'number': function number(x) {\n      if (!isFinite(x) || isNaN(x)) {\n        throw new Error(x + ' cannot be represented as a fraction');\n      }\n\n      return new type.Fraction(x);\n    },\n    'string': function string(x) {\n      return new type.Fraction(x);\n    },\n    'number, number': function numberNumber(numerator, denominator) {\n      return new type.Fraction(numerator, denominator);\n    },\n    'null': function _null(x) {\n      return new type.Fraction(0);\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.Fraction(x.toString());\n    },\n    'Fraction': function Fraction(x) {\n      return x; // fractions are immutable\n    },\n    'Object': function Object(x) {\n      return new type.Fraction(x);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, fraction);\n    }\n  });\n  return fraction;\n}\n\nexports.name = 'fraction';\nexports.factory = factory;","'use strict';\n\nvar util = require('../../utils/index');\n\nvar string = util.string;\nvar isString = string.isString;\n\nfunction factory(type, config, load, typed) {\n  /**\n   * @constructor Matrix\n   *\n   * A Matrix is a wrapper around an Array. A matrix can hold a multi dimensional\n   * array. A matrix can be constructed as:\n   *\n   *     let matrix = math.matrix(data)\n   *\n   * Matrix contains the functions to resize, get and set values, get the size,\n   * clone the matrix and to convert the matrix to a vector, array, or scalar.\n   * Furthermore, one can iterate over the matrix using map and forEach.\n   * The internal Array of the Matrix can be accessed using the function valueOf.\n   *\n   * Example usage:\n   *\n   *     let matrix = math.matrix([[1, 2], [3, 4]])\n   *     matix.size()              // [2, 2]\n   *     matrix.resize([3, 2], 5)\n   *     matrix.valueOf()          // [[1, 2], [3, 4], [5, 5]]\n   *     matrix.subset([1,2])       // 3 (indexes are zero-based)\n   *\n   */\n  function Matrix() {\n    if (!(this instanceof Matrix)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n  }\n  /**\n   * Attach type information\n   */\n\n\n  Matrix.prototype.type = 'Matrix';\n  Matrix.prototype.isMatrix = true;\n  /**\n   * Get the Matrix storage constructor for the given format.\n   *\n   * @param {string} format       The Matrix storage format.\n   *\n   * @return {Function}           The Matrix storage constructor.\n   */\n\n  Matrix.storage = function (format) {\n    // check storage format is a string\n    if (!isString(format)) {\n      throw new TypeError('format must be a string value');\n    } // get storage format constructor\n\n\n    var constructor = Matrix._storage[format];\n\n    if (!constructor) {\n      throw new SyntaxError('Unsupported matrix storage format: ' + format);\n    } // return storage constructor\n\n\n    return constructor;\n  }; // a map with all constructors for all storage types\n\n\n  Matrix._storage = {};\n  /**\n   * Get the storage format used by the matrix.\n   *\n   * Usage:\n   *     const format = matrix.storage()   // retrieve storage format\n   *\n   * @return {string}           The storage format.\n   */\n\n  Matrix.prototype.storage = function () {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke storage on a Matrix interface');\n  };\n  /**\n   * Get the datatype of the data stored in the matrix.\n   *\n   * Usage:\n   *     const format = matrix.datatype()    // retrieve matrix datatype\n   *\n   * @return {string}           The datatype.\n   */\n\n\n  Matrix.prototype.datatype = function () {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke datatype on a Matrix interface');\n  };\n  /**\n   * Create a new Matrix With the type of the current matrix instance\n   * @param {Array | Object} data\n   * @param {string} [datatype]\n   */\n\n\n  Matrix.prototype.create = function (data, datatype) {\n    throw new Error('Cannot invoke create on a Matrix interface');\n  };\n  /**\n   * Get a subset of the matrix, or replace a subset of the matrix.\n   *\n   * Usage:\n   *     const subset = matrix.subset(index)               // retrieve subset\n   *     const value = matrix.subset(index, replacement)   // replace subset\n   *\n   * @param {Index} index\n   * @param {Array | Matrix | *} [replacement]\n   * @param {*} [defaultValue=0]      Default value, filled in on new entries when\n   *                                  the matrix is resized. If not provided,\n   *                                  new matrix elements will be filled with zeros.\n   */\n\n\n  Matrix.prototype.subset = function (index, replacement, defaultValue) {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke subset on a Matrix interface');\n  };\n  /**\n   * Get a single element from the matrix.\n   * @param {number[]} index   Zero-based index\n   * @return {*} value\n   */\n\n\n  Matrix.prototype.get = function (index) {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke get on a Matrix interface');\n  };\n  /**\n   * Replace a single element in the matrix.\n   * @param {number[]} index   Zero-based index\n   * @param {*} value\n   * @param {*} [defaultValue]        Default value, filled in on new entries when\n   *                                  the matrix is resized. If not provided,\n   *                                  new matrix elements will be left undefined.\n   * @return {Matrix} self\n   */\n\n\n  Matrix.prototype.set = function (index, value, defaultValue) {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke set on a Matrix interface');\n  };\n  /**\n   * Resize the matrix to the given size. Returns a copy of the matrix when\n   * `copy=true`, otherwise return the matrix itself (resize in place).\n   *\n   * @param {number[]} size           The new size the matrix should have.\n   * @param {*} [defaultValue=0]      Default value, filled in on new entries.\n   *                                  If not provided, the matrix elements will\n   *                                  be filled with zeros.\n   * @param {boolean} [copy]          Return a resized copy of the matrix\n   *\n   * @return {Matrix}                 The resized matrix\n   */\n\n\n  Matrix.prototype.resize = function (size, defaultValue) {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke resize on a Matrix interface');\n  };\n  /**\n   * Reshape the matrix to the given size. Returns a copy of the matrix when\n   * `copy=true`, otherwise return the matrix itself (reshape in place).\n   *\n   * @param {number[]} size           The new size the matrix should have.\n   * @param {boolean} [copy]          Return a reshaped copy of the matrix\n   *\n   * @return {Matrix}                 The reshaped matrix\n   */\n\n\n  Matrix.prototype.reshape = function (size, defaultValue) {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke reshape on a Matrix interface');\n  };\n  /**\n   * Create a clone of the matrix\n   * @return {Matrix} clone\n   */\n\n\n  Matrix.prototype.clone = function () {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke clone on a Matrix interface');\n  };\n  /**\n   * Retrieve the size of the matrix.\n   * @returns {number[]} size\n   */\n\n\n  Matrix.prototype.size = function () {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke size on a Matrix interface');\n  };\n  /**\n   * Create a new matrix with the results of the callback function executed on\n   * each entry of the matrix.\n   * @param {Function} callback   The callback function is invoked with three\n   *                              parameters: the value of the element, the index\n   *                              of the element, and the Matrix being traversed.\n   * @param {boolean} [skipZeros] Invoke callback function for non-zero values only.\n   *\n   * @return {Matrix} matrix\n   */\n\n\n  Matrix.prototype.map = function (callback, skipZeros) {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke map on a Matrix interface');\n  };\n  /**\n   * Execute a callback function on each entry of the matrix.\n   * @param {Function} callback   The callback function is invoked with three\n   *                              parameters: the value of the element, the index\n   *                              of the element, and the Matrix being traversed.\n   */\n\n\n  Matrix.prototype.forEach = function (callback) {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke forEach on a Matrix interface');\n  };\n  /**\n   * Create an Array with a copy of the data of the Matrix\n   * @returns {Array} array\n   */\n\n\n  Matrix.prototype.toArray = function () {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke toArray on a Matrix interface');\n  };\n  /**\n   * Get the primitive value of the Matrix: a multidimensional array\n   * @returns {Array} array\n   */\n\n\n  Matrix.prototype.valueOf = function () {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke valueOf on a Matrix interface');\n  };\n  /**\n   * Get a string representation of the matrix, with optional formatting options.\n   * @param {Object | number | Function} [options]  Formatting options. See\n   *                                                lib/utils/number:format for a\n   *                                                description of the available\n   *                                                options.\n   * @returns {string} str\n   */\n\n\n  Matrix.prototype.format = function (options) {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke format on a Matrix interface');\n  };\n  /**\n   * Get a string representation of the matrix\n   * @returns {string} str\n   */\n\n\n  Matrix.prototype.toString = function () {\n    // must be implemented by each of the Matrix implementations\n    throw new Error('Cannot invoke toString on a Matrix interface');\n  }; // exports\n\n\n  return Matrix;\n}\n\nexports.name = 'Matrix';\nexports.path = 'type';\nexports.factory = factory;","'use strict';\n\nvar DimensionError = require('../../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var equalScalar = load(require('../../../function/relational/equalScalar'));\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Iterates over SparseMatrix A and SparseMatrix B nonzero items and invokes the callback function f(Aij, Bij).\n   * Callback function invoked MAX(NNZA, NNZB) times\n   *\n   *\n   *          ┌  f(Aij, Bij)  ; A(i,j) !== 0 && B(i,j) !== 0\n   * C(i,j) = ┤  A(i,j)       ; A(i,j) !== 0\n   *          └  B(i,j)       ; B(i,j) !== 0\n   *\n   *\n   * @param {Matrix}   a                 The SparseMatrix instance (A)\n   * @param {Matrix}   b                 The SparseMatrix instance (B)\n   * @param {Function} callback          The f(Aij,Bij) operation to invoke\n   *\n   * @return {Matrix}                    SparseMatrix (C)\n   *\n   * see https://github.com/josdejong/mathjs/pull/346#issuecomment-97620294\n   */\n\n  var algorithm04 = function algorithm04(a, b, callback) {\n    // sparse matrix arrays\n    var avalues = a._values;\n    var aindex = a._index;\n    var aptr = a._ptr;\n    var asize = a._size;\n    var adt = a._datatype; // sparse matrix arrays\n\n    var bvalues = b._values;\n    var bindex = b._index;\n    var bptr = b._ptr;\n    var bsize = b._size;\n    var bdt = b._datatype; // validate dimensions\n\n    if (asize.length !== bsize.length) {\n      throw new DimensionError(asize.length, bsize.length);\n    } // check rows & columns\n\n\n    if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) {\n      throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string' && adt === bdt) {\n      // datatype\n      dt = adt; // find signature that matches (dt, dt)\n\n      eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // result arrays\n\n\n    var cvalues = avalues && bvalues ? [] : undefined;\n    var cindex = [];\n    var cptr = []; // matrix\n\n    var c = new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [rows, columns],\n      datatype: dt\n    }); // workspace\n\n    var xa = avalues && bvalues ? [] : undefined;\n    var xb = avalues && bvalues ? [] : undefined; // marks indicating we have a value in x for a given column\n\n    var wa = [];\n    var wb = []; // vars\n\n    var i, j, k, k0, k1; // loop columns\n\n    for (j = 0; j < columns; j++) {\n      // update cptr\n      cptr[j] = cindex.length; // columns mark\n\n      var mark = j + 1; // loop A(:,j)\n\n      for (k0 = aptr[j], k1 = aptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        i = aindex[k]; // update c\n\n        cindex.push(i); // update workspace\n\n        wa[i] = mark; // check we need to process values\n\n        if (xa) {\n          xa[i] = avalues[k];\n        }\n      } // loop B(:,j)\n\n\n      for (k0 = bptr[j], k1 = bptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        i = bindex[k]; // check row exists in A\n\n        if (wa[i] === mark) {\n          // update record in xa @ i\n          if (xa) {\n            // invoke callback\n            var v = cf(xa[i], bvalues[k]); // check for zero\n\n            if (!eq(v, zero)) {\n              // update workspace\n              xa[i] = v;\n            } else {\n              // remove mark (index will be removed later)\n              wa[i] = null;\n            }\n          }\n        } else {\n          // update c\n          cindex.push(i); // update workspace\n\n          wb[i] = mark; // check we need to process values\n\n          if (xb) {\n            xb[i] = bvalues[k];\n          }\n        }\n      } // check we need to process values (non pattern matrix)\n\n\n      if (xa && xb) {\n        // initialize first index in j\n        k = cptr[j]; // loop index in j\n\n        while (k < cindex.length) {\n          // row\n          i = cindex[k]; // check workspace has value @ i\n\n          if (wa[i] === mark) {\n            // push value (Aij != 0 || (Aij != 0 && Bij != 0))\n            cvalues[k] = xa[i]; // increment pointer\n\n            k++;\n          } else if (wb[i] === mark) {\n            // push value (bij != 0)\n            cvalues[k] = xb[i]; // increment pointer\n\n            k++;\n          } else {\n            // remove index @ k\n            cindex.splice(k, 1);\n          }\n        }\n      }\n    } // update cptr\n\n\n    cptr[columns] = cindex.length; // return sparse matrix\n\n    return c;\n  };\n\n  return algorithm04;\n}\n\nexports.name = 'algorithm04';\nexports.factory = factory;","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nfunction factory(type, config, load, typed, math) {\n  var parse = load(require('../../expression/parse'));\n  var equal = load(require('../relational/equal'));\n  var ConstantNode = load(require('../../expression/node/ConstantNode'));\n  var FunctionNode = load(require('../../expression/node/FunctionNode'));\n  var OperatorNode = load(require('../../expression/node/OperatorNode'));\n  var ParenthesisNode = load(require('../../expression/node/ParenthesisNode'));\n  var SymbolNode = load(require('../../expression/node/SymbolNode'));\n  var simplifyConstant = load(require('./simplify/simplifyConstant'));\n  var simplifyCore = load(require('./simplify/simplifyCore'));\n  var resolve = load(require('./simplify/resolve'));\n  var util = load(require('./simplify/util'));\n  var isCommutative = util.isCommutative;\n  var isAssociative = util.isAssociative;\n  var flatten = util.flatten;\n  var unflattenr = util.unflattenr;\n  var unflattenl = util.unflattenl;\n  var createMakeNodeFunction = util.createMakeNodeFunction;\n  /**\n   * Simplify an expression tree.\n   *\n   * A list of rules are applied to an expression, repeating over the list until\n   * no further changes are made.\n   * It's possible to pass a custom set of rules to the function as second\n   * argument. A rule can be specified as an object, string, or function:\n   *\n   *     const rules = [\n   *       { l: 'n1*n3 + n2*n3', r: '(n1+n2)*n3' },\n   *       'n1*n3 + n2*n3 -> (n1+n2)*n3',\n   *       function (node) {\n   *         // ... return a new node or return the node unchanged\n   *         return node\n   *       }\n   *     ]\n   *\n   * String and object rules consist of a left and right pattern. The left is\n   * used to match against the expression and the right determines what matches\n   * are replaced with. The main difference between a pattern and a normal\n   * expression is that variables starting with the following characters are\n   * interpreted as wildcards:\n   *\n   * - 'n' - matches any Node\n   * - 'c' - matches any ConstantNode\n   * - 'v' - matches any Node that is not a ConstantNode\n   *\n   * The default list of rules is exposed on the function as `simplify.rules`\n   * and can be used as a basis to built a set of custom rules.\n   *\n   * For more details on the theory, see:\n   *\n   * - [Strategies for simplifying math expressions (Stackoverflow)](http://stackoverflow.com/questions/7540227/strategies-for-simplifying-math-expressions)\n   * - [Symbolic computation - Simplification (Wikipedia)](https://en.wikipedia.org/wiki/Symbolic_computation#Simplification)\n   *\n   *  An optional `options` argument can be passed as last argument of `simplify`.\n   *  There is currently one option available: `exactFractions`, a boolean which\n   *  is `true` by default.\n   *\n   * Syntax:\n   *\n   *     simplify(expr)\n   *     simplify(expr, rules)\n   *     simplify(expr, rules)\n   *     simplify(expr, rules, scope)\n   *     simplify(expr, rules, scope, options)\n   *     simplify(expr, scope)\n   *     simplify(expr, scope, options)\n   *\n   * Examples:\n   *\n   *     math.simplify('2 * 1 * x ^ (2 - 1)')      // Node \"2 * x\"\n   *     math.simplify('2 * 3 * x', {x: 4})        // Node \"24\"\n   *     const f = math.parse('2 * 1 * x ^ (2 - 1)')\n   *     math.simplify(f)                          // Node \"2 * x\"\n   *     math.simplify('0.4 * x', {}, {exactFractions: true})  // Node \"x * 2 / 5\"\n   *     math.simplify('0.4 * x', {}, {exactFractions: false}) // Node \"0.4 * x\"\n   *\n   * See also:\n   *\n   *     derivative, parse, eval, rationalize\n   *\n   * @param {Node | string} expr\n   *            The expression to be simplified\n   * @param {Array<{l:string, r: string} | string | function>} [rules]\n   *            Optional list with custom rules\n   * @return {Node} Returns the simplified form of `expr`\n   */\n\n  var simplify = typed('simplify', {\n    'string': function string(expr) {\n      return simplify(parse(expr), simplify.rules, {}, {});\n    },\n    'string, Object': function stringObject(expr, scope) {\n      return simplify(parse(expr), simplify.rules, scope, {});\n    },\n    'string, Object, Object': function stringObjectObject(expr, scope, options) {\n      return simplify(parse(expr), simplify.rules, scope, options);\n    },\n    'string, Array': function stringArray(expr, rules) {\n      return simplify(parse(expr), rules, {}, {});\n    },\n    'string, Array, Object': function stringArrayObject(expr, rules, scope) {\n      return simplify(parse(expr), rules, scope, {});\n    },\n    'string, Array, Object, Object': function stringArrayObjectObject(expr, rules, scope, options) {\n      return simplify(parse(expr), rules, scope, options);\n    },\n    'Node, Object': function NodeObject(expr, scope) {\n      return simplify(expr, simplify.rules, scope, {});\n    },\n    'Node, Object, Object': function NodeObjectObject(expr, scope, options) {\n      return simplify(expr, simplify.rules, scope, options);\n    },\n    'Node': function Node(expr) {\n      return simplify(expr, simplify.rules, {}, {});\n    },\n    'Node, Array': function NodeArray(expr, rules) {\n      return simplify(expr, rules, {}, {});\n    },\n    'Node, Array, Object': function NodeArrayObject(expr, rules, scope) {\n      return simplify(expr, rules, scope, {});\n    },\n    'Node, Array, Object, Object': function NodeArrayObjectObject(expr, rules, scope, options) {\n      rules = _buildRules(rules);\n      var res = resolve(expr, scope);\n      res = removeParens(res);\n      var visited = {};\n      var str = res.toString({\n        parenthesis: 'all'\n      });\n\n      while (!visited[str]) {\n        visited[str] = true;\n        _lastsym = 0; // counter for placeholder symbols\n\n        for (var i = 0; i < rules.length; i++) {\n          if (typeof rules[i] === 'function') {\n            res = rules[i](res, options);\n          } else {\n            flatten(res);\n            res = applyRule(res, rules[i]);\n          }\n\n          unflattenl(res); // using left-heavy binary tree here since custom rule functions may expect it\n        }\n\n        str = res.toString({\n          parenthesis: 'all'\n        });\n      }\n\n      return res;\n    }\n  });\n  simplify.simplifyCore = simplifyCore;\n  simplify.resolve = resolve;\n\n  function removeParens(node) {\n    return node.transform(function (node, path, parent) {\n      return type.isParenthesisNode(node) ? node.content : node;\n    });\n  } // All constants that are allowed in rules\n\n\n  var SUPPORTED_CONSTANTS = {\n    true: true,\n    false: true,\n    e: true,\n    i: true,\n    Infinity: true,\n    LN2: true,\n    LN10: true,\n    LOG2E: true,\n    LOG10E: true,\n    NaN: true,\n    phi: true,\n    pi: true,\n    SQRT1_2: true,\n    SQRT2: true,\n    tau: true // null: false,\n    // undefined: false,\n    // version: false,\n    // Array of strings, used to build the ruleSet.\n    // Each l (left side) and r (right side) are parsed by\n    // the expression parser into a node tree.\n    // Left hand sides are matched to subtrees within the\n    // expression to be parsed and replaced with the right\n    // hand side.\n    // TODO: Add support for constraints on constants (either in the form of a '=' expression or a callback [callback allows things like comparing symbols alphabetically])\n    // To evaluate lhs constants for rhs constants, use: { l: 'c1+c2', r: 'c3', evaluate: 'c3 = c1 + c2' }. Multiple assignments are separated by ';' in block format.\n    // It is possible to get into an infinite loop with conflicting rules\n\n  };\n  simplify.rules = [simplifyCore, // { l: 'n+0', r: 'n' },     // simplifyCore\n  // { l: 'n^0', r: '1' },     // simplifyCore\n  // { l: '0*n', r: '0' },     // simplifyCore\n  // { l: 'n/n', r: '1'},      // simplifyCore\n  // { l: 'n^1', r: 'n' },     // simplifyCore\n  // { l: '+n1', r:'n1' },     // simplifyCore\n  // { l: 'n--n1', r:'n+n1' }, // simplifyCore\n  {\n    l: 'log(e)',\n    r: '1'\n  }, // temporary rules\n  {\n    l: 'n-n1',\n    r: 'n+-n1'\n  }, // temporarily replace 'subtract' so we can further flatten the 'add' operator\n  {\n    l: '-(c*v)',\n    r: '(-c) * v'\n  }, // make non-constant terms positive\n  {\n    l: '-v',\n    r: '(-1) * v'\n  }, {\n    l: 'n/n1^n2',\n    r: 'n*n1^-n2'\n  }, // temporarily replace 'divide' so we can further flatten the 'multiply' operator\n  {\n    l: 'n/n1',\n    r: 'n*n1^-1'\n  }, // expand nested exponentiation\n  {\n    l: '(n ^ n1) ^ n2',\n    r: 'n ^ (n1 * n2)'\n  }, // collect like factors\n  {\n    l: 'n*n',\n    r: 'n^2'\n  }, {\n    l: 'n * n^n1',\n    r: 'n^(n1+1)'\n  }, {\n    l: 'n^n1 * n^n2',\n    r: 'n^(n1+n2)'\n  }, // collect like terms\n  {\n    l: 'n+n',\n    r: '2*n'\n  }, {\n    l: 'n+-n',\n    r: '0'\n  }, {\n    l: 'n1*n2 + n2',\n    r: '(n1+1)*n2'\n  }, {\n    l: 'n1*n3 + n2*n3',\n    r: '(n1+n2)*n3'\n  }, // remove parenthesis in the case of negating a quantitiy\n  {\n    l: 'n1 + -1 * (n2 + n3)',\n    r: 'n1 + -1 * n2 + -1 * n3'\n  }, simplifyConstant, {\n    l: '(-n)*n1',\n    r: '-(n*n1)'\n  }, // make factors positive (and undo 'make non-constant terms positive')\n  // ordering of constants\n  {\n    l: 'c+v',\n    r: 'v+c',\n    context: {\n      'add': {\n        commutative: false\n      }\n    }\n  }, {\n    l: 'v*c',\n    r: 'c*v',\n    context: {\n      'multiply': {\n        commutative: false\n      }\n    }\n  }, // undo temporary rules\n  // { l: '(-1) * n', r: '-n' }, // #811 added test which proved this is redundant\n  {\n    l: 'n+-n1',\n    r: 'n-n1'\n  }, // undo replace 'subtract'\n  {\n    l: 'n*(n1^-1)',\n    r: 'n/n1'\n  }, // undo replace 'divide'\n  {\n    l: 'n*n1^-n2',\n    r: 'n/n1^n2'\n  }, {\n    l: 'n1^-1',\n    r: '1/n1'\n  }, {\n    l: 'n*(n1/n2)',\n    r: '(n*n1)/n2'\n  }, // '*' before '/'\n  {\n    l: 'n-(n1+n2)',\n    r: 'n-n1-n2'\n  }, // '-' before '+'\n  // { l: '(n1/n2)/n3', r: 'n1/(n2*n3)' },\n  // { l: '(n*n1)/(n*n2)', r: 'n1/n2' },\n  {\n    l: '1*n',\n    r: 'n' // this pattern can be produced by simplifyConstant\n\n  }];\n  /**\n   * Parse the string array of rules into nodes\n   *\n   * Example syntax for rules:\n   *\n   * Position constants to the left in a product:\n   * { l: 'n1 * c1', r: 'c1 * n1' }\n   * n1 is any Node, and c1 is a ConstantNode.\n   *\n   * Apply difference of squares formula:\n   * { l: '(n1 - n2) * (n1 + n2)', r: 'n1^2 - n2^2' }\n   * n1, n2 mean any Node.\n   *\n   * Short hand notation:\n   * 'n1 * c1 -> c1 * n1'\n   */\n\n  function _buildRules(rules) {\n    // Array of rules to be used to simplify expressions\n    var ruleSet = [];\n\n    for (var i = 0; i < rules.length; i++) {\n      var rule = rules[i];\n      var newRule = void 0;\n\n      var ruleType = _typeof(rule);\n\n      switch (ruleType) {\n        case 'string':\n          var lr = rule.split('->');\n\n          if (lr.length === 2) {\n            rule = {\n              l: lr[0],\n              r: lr[1]\n            };\n          } else {\n            throw SyntaxError('Could not parse rule: ' + rule);\n          }\n\n        /* falls through */\n\n        case 'object':\n          newRule = {\n            l: removeParens(parse(rule.l)),\n            r: removeParens(parse(rule.r))\n          };\n\n          if (rule.context) {\n            newRule.evaluate = rule.context;\n          }\n\n          if (rule.evaluate) {\n            newRule.evaluate = parse(rule.evaluate);\n          }\n\n          if (isAssociative(newRule.l)) {\n            var makeNode = createMakeNodeFunction(newRule.l);\n\n            var expandsym = _getExpandPlaceholderSymbol();\n\n            newRule.expanded = {};\n            newRule.expanded.l = makeNode([newRule.l.clone(), expandsym]); // Push the expandsym into the deepest possible branch.\n            // This helps to match the newRule against nodes returned from getSplits() later on.\n\n            flatten(newRule.expanded.l);\n            unflattenr(newRule.expanded.l);\n            newRule.expanded.r = makeNode([newRule.r, expandsym]);\n          }\n\n          break;\n\n        case 'function':\n          newRule = rule;\n          break;\n\n        default:\n          throw TypeError('Unsupported type of rule: ' + ruleType);\n      } // console.log('Adding rule: ' + rules[i])\n      // console.log(newRule)\n\n\n      ruleSet.push(newRule);\n    }\n\n    return ruleSet;\n  }\n\n  var _lastsym = 0;\n\n  function _getExpandPlaceholderSymbol() {\n    return new SymbolNode('_p' + _lastsym++);\n  }\n  /**\n   * Returns a simplfied form of node, or the original node if no simplification was possible.\n   *\n   * @param  {ConstantNode | SymbolNode | ParenthesisNode | FunctionNode | OperatorNode} node\n   * @return {ConstantNode | SymbolNode | ParenthesisNode | FunctionNode | OperatorNode} The simplified form of `expr`, or the original node if no simplification was possible.\n   */\n\n\n  var applyRule = typed('applyRule', {\n    'Node, Object': function NodeObject(node, rule) {\n      // console.log('Entering applyRule(' + node.toString() + ')')\n      // Do not clone node unless we find a match\n      var res = node; // First replace our child nodes with their simplified versions\n      // If a child could not be simplified, the assignments will have\n      // no effect since the node is returned unchanged\n\n      if (res instanceof OperatorNode || res instanceof FunctionNode) {\n        if (res.args) {\n          for (var i = 0; i < res.args.length; i++) {\n            res.args[i] = applyRule(res.args[i], rule);\n          }\n        }\n      } else if (res instanceof ParenthesisNode) {\n        if (res.content) {\n          res.content = applyRule(res.content, rule);\n        }\n      } // Try to match a rule against this node\n\n\n      var repl = rule.r;\n\n      var matches = _ruleMatch(rule.l, res)[0]; // If the rule is associative operator, we can try matching it while allowing additional terms.\n      // This allows us to match rules like 'n+n' to the expression '(1+x)+x' or even 'x+1+x' if the operator is commutative.\n\n\n      if (!matches && rule.expanded) {\n        repl = rule.expanded.r;\n        matches = _ruleMatch(rule.expanded.l, res)[0];\n      }\n\n      if (matches) {\n        // const before = res.toString({parenthesis: 'all'})\n        // Create a new node by cloning the rhs of the matched rule\n        // we keep any implicit multiplication state if relevant\n        var implicit = res.implicit;\n        res = repl.clone();\n\n        if (implicit && 'implicit' in repl) {\n          res.implicit = true;\n        } // Replace placeholders with their respective nodes without traversing deeper into the replaced nodes\n\n\n        var _transform = function _transform(node) {\n          if (node.isSymbolNode && matches.placeholders.hasOwnProperty(node.name)) {\n            return matches.placeholders[node.name].clone();\n          } else {\n            return node.map(_transform);\n          }\n        };\n\n        res = _transform(res); // const after = res.toString({parenthesis: 'all'})\n        // console.log('Simplified ' + before + ' to ' + after)\n      }\n\n      return res;\n    }\n  });\n  /**\n   * Get (binary) combinations of a flattened binary node\n   * e.g. +(node1, node2, node3) -> [\n   *        +(node1,  +(node2, node3)),\n   *        +(node2,  +(node1, node3)),\n   *        +(node3,  +(node1, node2))]\n   *\n   */\n\n  function getSplits(node, context) {\n    var res = [];\n    var right, rightArgs;\n    var makeNode = createMakeNodeFunction(node);\n\n    if (isCommutative(node, context)) {\n      for (var i = 0; i < node.args.length; i++) {\n        rightArgs = node.args.slice(0);\n        rightArgs.splice(i, 1);\n        right = rightArgs.length === 1 ? rightArgs[0] : makeNode(rightArgs);\n        res.push(makeNode([node.args[i], right]));\n      }\n    } else {\n      rightArgs = node.args.slice(1);\n      right = rightArgs.length === 1 ? rightArgs[0] : makeNode(rightArgs);\n      res.push(makeNode([node.args[0], right]));\n    }\n\n    return res;\n  }\n  /**\n   * Returns the set union of two match-placeholders or null if there is a conflict.\n   */\n\n\n  function mergeMatch(match1, match2) {\n    var res = {\n      placeholders: {} // Some matches may not have placeholders; this is OK\n\n    };\n\n    if (!match1.placeholders && !match2.placeholders) {\n      return res;\n    } else if (!match1.placeholders) {\n      return match2;\n    } else if (!match2.placeholders) {\n      return match1;\n    } // Placeholders with the same key must match exactly\n\n\n    for (var key in match1.placeholders) {\n      res.placeholders[key] = match1.placeholders[key];\n\n      if (match2.placeholders.hasOwnProperty(key)) {\n        if (!_exactMatch(match1.placeholders[key], match2.placeholders[key])) {\n          return null;\n        }\n      }\n    }\n\n    for (var _key in match2.placeholders) {\n      res.placeholders[_key] = match2.placeholders[_key];\n    }\n\n    return res;\n  }\n  /**\n   * Combine two lists of matches by applying mergeMatch to the cartesian product of two lists of matches.\n   * Each list represents matches found in one child of a node.\n   */\n\n\n  function combineChildMatches(list1, list2) {\n    var res = [];\n\n    if (list1.length === 0 || list2.length === 0) {\n      return res;\n    }\n\n    var merged;\n\n    for (var i1 = 0; i1 < list1.length; i1++) {\n      for (var i2 = 0; i2 < list2.length; i2++) {\n        merged = mergeMatch(list1[i1], list2[i2]);\n\n        if (merged) {\n          res.push(merged);\n        }\n      }\n    }\n\n    return res;\n  }\n  /**\n   * Combine multiple lists of matches by applying mergeMatch to the cartesian product of two lists of matches.\n   * Each list represents matches found in one child of a node.\n   * Returns a list of unique matches.\n   */\n\n\n  function mergeChildMatches(childMatches) {\n    if (childMatches.length === 0) {\n      return childMatches;\n    }\n\n    var sets = childMatches.reduce(combineChildMatches);\n    var uniqueSets = [];\n    var unique = {};\n\n    for (var i = 0; i < sets.length; i++) {\n      var s = JSON.stringify(sets[i]);\n\n      if (!unique[s]) {\n        unique[s] = true;\n        uniqueSets.push(sets[i]);\n      }\n    }\n\n    return uniqueSets;\n  }\n  /**\n   * Determines whether node matches rule.\n   *\n   * @param {ConstantNode | SymbolNode | ParenthesisNode | FunctionNode | OperatorNode} rule\n   * @param {ConstantNode | SymbolNode | ParenthesisNode | FunctionNode | OperatorNode} node\n   * @return {Object} Information about the match, if it exists.\n   */\n\n\n  function _ruleMatch(rule, node, isSplit) {\n    //    console.log('Entering _ruleMatch(' + JSON.stringify(rule) + ', ' + JSON.stringify(node) + ')')\n    //    console.log('rule = ' + rule)\n    //    console.log('node = ' + node)\n    //    console.log('Entering _ruleMatch(' + rule.toString() + ', ' + node.toString() + ')')\n    var res = [{\n      placeholders: {}\n    }];\n\n    if (rule instanceof OperatorNode && node instanceof OperatorNode || rule instanceof FunctionNode && node instanceof FunctionNode) {\n      // If the rule is an OperatorNode or a FunctionNode, then node must match exactly\n      if (rule instanceof OperatorNode) {\n        if (rule.op !== node.op || rule.fn !== node.fn) {\n          return [];\n        }\n      } else if (rule instanceof FunctionNode) {\n        if (rule.name !== node.name) {\n          return [];\n        }\n      } // rule and node match. Search the children of rule and node.\n\n\n      if (node.args.length === 1 && rule.args.length === 1 || !isAssociative(node) || isSplit) {\n        // Expect non-associative operators to match exactly\n        var childMatches = [];\n\n        for (var i = 0; i < rule.args.length; i++) {\n          var childMatch = _ruleMatch(rule.args[i], node.args[i]);\n\n          if (childMatch.length === 0) {\n            // Child did not match, so stop searching immediately\n            return [];\n          } // The child matched, so add the information returned from the child to our result\n\n\n          childMatches.push(childMatch);\n        }\n\n        res = mergeChildMatches(childMatches);\n      } else if (node.args.length >= 2 && rule.args.length === 2) {\n        // node is flattened, rule is not\n        // Associative operators/functions can be split in different ways so we check if the rule matches each\n        // them and return their union.\n        var splits = getSplits(node, rule.context);\n        var splitMatches = [];\n\n        for (var _i = 0; _i < splits.length; _i++) {\n          var matchSet = _ruleMatch(rule, splits[_i], true); // recursing at the same tree depth here\n\n\n          splitMatches = splitMatches.concat(matchSet);\n        }\n\n        return splitMatches;\n      } else if (rule.args.length > 2) {\n        throw Error('Unexpected non-binary associative function: ' + rule.toString());\n      } else {\n        // Incorrect number of arguments in rule and node, so no match\n        return [];\n      }\n    } else if (rule instanceof SymbolNode) {\n      // If the rule is a SymbolNode, then it carries a special meaning\n      // according to the first character of the symbol node name.\n      // c.* matches a ConstantNode\n      // n.* matches any node\n      if (rule.name.length === 0) {\n        throw new Error('Symbol in rule has 0 length...!?');\n      }\n\n      if (math.hasOwnProperty(rule.name)) {\n        if (!SUPPORTED_CONSTANTS[rule.name]) {\n          throw new Error('Built in constant: ' + rule.name + ' is not supported by simplify.');\n        } // built-in constant must match exactly\n\n\n        if (rule.name !== node.name) {\n          return [];\n        }\n      } else if (rule.name[0] === 'n' || rule.name.substring(0, 2) === '_p') {\n        // rule matches _anything_, so assign this node to the rule.name placeholder\n        // Assign node to the rule.name placeholder.\n        // Our parent will check for matches among placeholders.\n        res[0].placeholders[rule.name] = node;\n      } else if (rule.name[0] === 'v') {\n        // rule matches any variable thing (not a ConstantNode)\n        if (!type.isConstantNode(node)) {\n          res[0].placeholders[rule.name] = node;\n        } else {\n          // Mis-match: rule was expecting something other than a ConstantNode\n          return [];\n        }\n      } else if (rule.name[0] === 'c') {\n        // rule matches any ConstantNode\n        if (node instanceof ConstantNode) {\n          res[0].placeholders[rule.name] = node;\n        } else {\n          // Mis-match: rule was expecting a ConstantNode\n          return [];\n        }\n      } else {\n        throw new Error('Invalid symbol in rule: ' + rule.name);\n      }\n    } else if (rule instanceof ConstantNode) {\n      // Literal constant must match exactly\n      if (!equal(rule.value, node.value)) {\n        return [];\n      }\n    } else {\n      // Some other node was encountered which we aren't prepared for, so no match\n      return [];\n    } // It's a match!\n    // console.log('_ruleMatch(' + rule.toString() + ', ' + node.toString() + ') found a match')\n\n\n    return res;\n  }\n  /**\n   * Determines whether p and q (and all their children nodes) are identical.\n   *\n   * @param {ConstantNode | SymbolNode | ParenthesisNode | FunctionNode | OperatorNode} p\n   * @param {ConstantNode | SymbolNode | ParenthesisNode | FunctionNode | OperatorNode} q\n   * @return {Object} Information about the match, if it exists.\n   */\n\n\n  function _exactMatch(p, q) {\n    if (p instanceof ConstantNode && q instanceof ConstantNode) {\n      if (!equal(p.value, q.value)) {\n        return false;\n      }\n    } else if (p instanceof SymbolNode && q instanceof SymbolNode) {\n      if (p.name !== q.name) {\n        return false;\n      }\n    } else if (p instanceof OperatorNode && q instanceof OperatorNode || p instanceof FunctionNode && q instanceof FunctionNode) {\n      if (p instanceof OperatorNode) {\n        if (p.op !== q.op || p.fn !== q.fn) {\n          return false;\n        }\n      } else if (p instanceof FunctionNode) {\n        if (p.name !== q.name) {\n          return false;\n        }\n      }\n\n      if (p.args.length !== q.args.length) {\n        return false;\n      }\n\n      for (var i = 0; i < p.args.length; i++) {\n        if (!_exactMatch(p.args[i], q.args[i])) {\n          return false;\n        }\n      }\n    } else {\n      return false;\n    }\n\n    return true;\n  }\n\n  return simplify;\n}\n\nexports.math = true;\nexports.name = 'simplify';\nexports.factory = factory;","'use strict';\n\nvar util = require('../../../utils/index');\n\nvar object = util.object;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../../type/matrix/function/matrix'));\n  var abs = load(require('../../arithmetic/abs'));\n  var addScalar = load(require('../../arithmetic/addScalar'));\n  var divideScalar = load(require('../../arithmetic/divideScalar'));\n  var multiplyScalar = load(require('../../arithmetic/multiplyScalar'));\n  var subtract = load(require('../../arithmetic/subtract'));\n  var larger = load(require('../../relational/larger'));\n  var equalScalar = load(require('../../relational/equalScalar'));\n  var unaryMinus = load(require('../../arithmetic/unaryMinus'));\n  var SparseMatrix = type.SparseMatrix;\n  var DenseMatrix = type.DenseMatrix;\n  var Spa = type.Spa;\n  /**\n   * Calculate the Matrix LU decomposition with partial pivoting. Matrix `A` is decomposed in two matrices (`L`, `U`) and a\n   * row permutation vector `p` where `A[p,:] = L * U`\n   *\n   * Syntax:\n   *\n   *    math.lup(A)\n   *\n   * Example:\n   *\n   *    const m = [[2, 1], [1, 4]]\n   *    const r = math.lup(m)\n   *    // r = {\n   *    //   L: [[1, 0], [0.5, 1]],\n   *    //   U: [[2, 1], [0, 3.5]],\n   *    //   P: [0, 1]\n   *    // }\n   *\n   * See also:\n   *\n   *    slu, lsolve, lusolve, usolve\n   *\n   * @param {Matrix | Array} A    A two dimensional matrix or array for which to get the LUP decomposition.\n   *\n   * @return {{L: Array | Matrix, U: Array | Matrix, P: Array.<number>}} The lower triangular matrix, the upper triangular matrix and the permutation matrix.\n   */\n\n  var lup = typed('lup', {\n    'DenseMatrix': function DenseMatrix(m) {\n      return _denseLUP(m);\n    },\n    'SparseMatrix': function SparseMatrix(m) {\n      return _sparseLUP(m);\n    },\n    'Array': function Array(a) {\n      // create dense matrix from array\n      var m = matrix(a); // lup, use matrix implementation\n\n      var r = _denseLUP(m); // result\n\n\n      return {\n        L: r.L.valueOf(),\n        U: r.U.valueOf(),\n        p: r.p\n      };\n    }\n  });\n\n  function _denseLUP(m) {\n    // rows & columns\n    var rows = m._size[0];\n    var columns = m._size[1]; // minimum rows and columns\n\n    var n = Math.min(rows, columns); // matrix array, clone original data\n\n    var data = object.clone(m._data); // l matrix arrays\n\n    var ldata = [];\n    var lsize = [rows, n]; // u matrix arrays\n\n    var udata = [];\n    var usize = [n, columns]; // vars\n\n    var i, j, k; // permutation vector\n\n    var p = [];\n\n    for (i = 0; i < rows; i++) {\n      p[i] = i;\n    } // loop columns\n\n\n    for (j = 0; j < columns; j++) {\n      // skip first column in upper triangular matrix\n      if (j > 0) {\n        // loop rows\n        for (i = 0; i < rows; i++) {\n          // min i,j\n          var min = Math.min(i, j); // v[i, j]\n\n          var s = 0; // loop up to min\n\n          for (k = 0; k < min; k++) {\n            // s = l[i, k] - data[k, j]\n            s = addScalar(s, multiplyScalar(data[i][k], data[k][j]));\n          }\n\n          data[i][j] = subtract(data[i][j], s);\n        }\n      } // row with larger value in cvector, row >= j\n\n\n      var pi = j;\n      var pabsv = 0;\n      var vjj = 0; // loop rows\n\n      for (i = j; i < rows; i++) {\n        // data @ i, j\n        var v = data[i][j]; // absolute value\n\n        var absv = abs(v); // value is greater than pivote value\n\n        if (larger(absv, pabsv)) {\n          // store row\n          pi = i; // update max value\n\n          pabsv = absv; // value @ [j, j]\n\n          vjj = v;\n        }\n      } // swap rows (j <-> pi)\n\n\n      if (j !== pi) {\n        // swap values j <-> pi in p\n        p[j] = [p[pi], p[pi] = p[j]][0]; // swap j <-> pi in data\n\n        DenseMatrix._swapRows(j, pi, data);\n      } // check column is in lower triangular matrix\n\n\n      if (j < rows) {\n        // loop rows (lower triangular matrix)\n        for (i = j + 1; i < rows; i++) {\n          // value @ i, j\n          var vij = data[i][j];\n\n          if (!equalScalar(vij, 0)) {\n            // update data\n            data[i][j] = divideScalar(data[i][j], vjj);\n          }\n        }\n      }\n    } // loop columns\n\n\n    for (j = 0; j < columns; j++) {\n      // loop rows\n      for (i = 0; i < rows; i++) {\n        // initialize row in arrays\n        if (j === 0) {\n          // check row exists in upper triangular matrix\n          if (i < columns) {\n            // U\n            udata[i] = [];\n          } // L\n\n\n          ldata[i] = [];\n        } // check we are in the upper triangular matrix\n\n\n        if (i < j) {\n          // check row exists in upper triangular matrix\n          if (i < columns) {\n            // U\n            udata[i][j] = data[i][j];\n          } // check column exists in lower triangular matrix\n\n\n          if (j < rows) {\n            // L\n            ldata[i][j] = 0;\n          }\n\n          continue;\n        } // diagonal value\n\n\n        if (i === j) {\n          // check row exists in upper triangular matrix\n          if (i < columns) {\n            // U\n            udata[i][j] = data[i][j];\n          } // check column exists in lower triangular matrix\n\n\n          if (j < rows) {\n            // L\n            ldata[i][j] = 1;\n          }\n\n          continue;\n        } // check row exists in upper triangular matrix\n\n\n        if (i < columns) {\n          // U\n          udata[i][j] = 0;\n        } // check column exists in lower triangular matrix\n\n\n        if (j < rows) {\n          // L\n          ldata[i][j] = data[i][j];\n        }\n      }\n    } // l matrix\n\n\n    var l = new DenseMatrix({\n      data: ldata,\n      size: lsize\n    }); // u matrix\n\n    var u = new DenseMatrix({\n      data: udata,\n      size: usize\n    }); // p vector\n\n    var pv = [];\n\n    for (i = 0, n = p.length; i < n; i++) {\n      pv[p[i]] = i;\n    } // return matrices\n\n\n    return {\n      L: l,\n      U: u,\n      p: pv,\n      toString: function toString() {\n        return 'L: ' + this.L.toString() + '\\nU: ' + this.U.toString() + '\\nP: ' + this.p;\n      }\n    };\n  }\n\n  function _sparseLUP(m) {\n    // rows & columns\n    var rows = m._size[0];\n    var columns = m._size[1]; // minimum rows and columns\n\n    var n = Math.min(rows, columns); // matrix arrays (will not be modified, thanks to permutation vector)\n\n    var values = m._values;\n    var index = m._index;\n    var ptr = m._ptr; // l matrix arrays\n\n    var lvalues = [];\n    var lindex = [];\n    var lptr = [];\n    var lsize = [rows, n]; // u matrix arrays\n\n    var uvalues = [];\n    var uindex = [];\n    var uptr = [];\n    var usize = [n, columns]; // vars\n\n    var i, j, k; // permutation vectors, (current index -> original index) and (original index -> current index)\n\n    var pvCo = [];\n    var pvOc = [];\n\n    for (i = 0; i < rows; i++) {\n      pvCo[i] = i;\n      pvOc[i] = i;\n    } // swap indices in permutation vectors (condition x < y)!\n\n\n    var swapIndeces = function swapIndeces(x, y) {\n      // find pv indeces getting data from x and y\n      var kx = pvOc[x];\n      var ky = pvOc[y]; // update permutation vector current -> original\n\n      pvCo[kx] = y;\n      pvCo[ky] = x; // update permutation vector original -> current\n\n      pvOc[x] = ky;\n      pvOc[y] = kx;\n    }; // loop columns\n\n\n    var _loop = function _loop() {\n      // sparse accumulator\n      var spa = new Spa(); // check lower triangular matrix has a value @ column j\n\n      if (j < rows) {\n        // update ptr\n        lptr.push(lvalues.length); // first value in j column for lower triangular matrix\n\n        lvalues.push(1);\n        lindex.push(j);\n      } // update ptr\n\n\n      uptr.push(uvalues.length); // k0 <= k < k1 where k0 = _ptr[j] && k1 = _ptr[j+1]\n\n      var k0 = ptr[j];\n      var k1 = ptr[j + 1]; // copy column j into sparse accumulator\n\n      for (k = k0; k < k1; k++) {\n        // row\n        i = index[k]; // copy column values into sparse accumulator (use permutation vector)\n\n        spa.set(pvCo[i], values[k]);\n      } // skip first column in upper triangular matrix\n\n\n      if (j > 0) {\n        // loop rows in column j (above diagonal)\n        spa.forEach(0, j - 1, function (k, vkj) {\n          // loop rows in column k (L)\n          SparseMatrix._forEachRow(k, lvalues, lindex, lptr, function (i, vik) {\n            // check row is below k\n            if (i > k) {\n              // update spa value\n              spa.accumulate(i, unaryMinus(multiplyScalar(vik, vkj)));\n            }\n          });\n        });\n      } // row with larger value in spa, row >= j\n\n\n      var pi = j;\n      var vjj = spa.get(j);\n      var pabsv = abs(vjj); // loop values in spa (order by row, below diagonal)\n\n      spa.forEach(j + 1, rows - 1, function (x, v) {\n        // absolute value\n        var absv = abs(v); // value is greater than pivote value\n\n        if (larger(absv, pabsv)) {\n          // store row\n          pi = x; // update max value\n\n          pabsv = absv; // value @ [j, j]\n\n          vjj = v;\n        }\n      }); // swap rows (j <-> pi)\n\n      if (j !== pi) {\n        // swap values j <-> pi in L\n        SparseMatrix._swapRows(j, pi, lsize[1], lvalues, lindex, lptr); // swap values j <-> pi in U\n\n\n        SparseMatrix._swapRows(j, pi, usize[1], uvalues, uindex, uptr); // swap values in spa\n\n\n        spa.swap(j, pi); // update permutation vector (swap values @ j, pi)\n\n        swapIndeces(j, pi);\n      } // loop values in spa (order by row)\n\n\n      spa.forEach(0, rows - 1, function (x, v) {\n        // check we are above diagonal\n        if (x <= j) {\n          // update upper triangular matrix\n          uvalues.push(v);\n          uindex.push(x);\n        } else {\n          // update value\n          v = divideScalar(v, vjj); // check value is non zero\n\n          if (!equalScalar(v, 0)) {\n            // update lower triangular matrix\n            lvalues.push(v);\n            lindex.push(x);\n          }\n        }\n      });\n    };\n\n    for (j = 0; j < columns; j++) {\n      _loop();\n    } // update ptrs\n\n\n    uptr.push(uvalues.length);\n    lptr.push(lvalues.length); // return matrices\n\n    return {\n      L: new SparseMatrix({\n        values: lvalues,\n        index: lindex,\n        ptr: lptr,\n        size: lsize\n      }),\n      U: new SparseMatrix({\n        values: uvalues,\n        index: uindex,\n        ptr: uptr,\n        size: usize\n      }),\n      p: pvCo,\n      toString: function toString() {\n        return 'L: ' + this.L.toString() + '\\nU: ' + this.U.toString() + '\\nP: ' + this.p;\n      }\n    };\n  }\n\n  return lup;\n}\n\nexports.name = 'lup';\nexports.factory = factory;","'use strict';\n\nfunction factory() {\n  /**\n   * This function \"flips\" its input about the integer -1.\n   *\n   * @param {Number}  i               The value to flip\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n  var csFlip = function csFlip(i) {\n    // flip the value\n    return -i - 2;\n  };\n\n  return csFlip;\n}\n\nexports.name = 'csFlip';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nvar util = require('../../../../utils/index');\n\nvar string = util.string;\nvar array = util.array;\nvar isArray = Array.isArray;\n\nfunction factory(type) {\n  var DenseMatrix = type.DenseMatrix;\n  /**\n   * Validates matrix and column vector b for backward/forward substitution algorithms.\n   *\n   * @param {Matrix} m            An N x N matrix\n   * @param {Array | Matrix} b    A column vector\n   * @param {Boolean} copy        Return a copy of vector b\n   *\n   * @return {DenseMatrix}        Dense column vector b\n   */\n\n  var solveValidation = function solveValidation(m, b, copy) {\n    // matrix size\n    var size = m.size(); // validate matrix dimensions\n\n    if (size.length !== 2) {\n      throw new RangeError('Matrix must be two dimensional (size: ' + string.format(size) + ')');\n    } // rows & columns\n\n\n    var rows = size[0];\n    var columns = size[1]; // validate rows & columns\n\n    if (rows !== columns) {\n      throw new RangeError('Matrix must be square (size: ' + string.format(size) + ')');\n    } // vars\n\n\n    var data, i, bdata; // check b is matrix\n\n    if (type.isMatrix(b)) {\n      // matrix size\n      var msize = b.size(); // vector\n\n      if (msize.length === 1) {\n        // check vector length\n        if (msize[0] !== rows) {\n          throw new RangeError('Dimension mismatch. Matrix columns must match vector length.');\n        } // create data array\n\n\n        data = []; // matrix data (DenseMatrix)\n\n        bdata = b._data; // loop b data\n\n        for (i = 0; i < rows; i++) {\n          // row array\n          data[i] = [bdata[i]];\n        } // return Dense Matrix\n\n\n        return new DenseMatrix({\n          data: data,\n          size: [rows, 1],\n          datatype: b._datatype\n        });\n      } // two dimensions\n\n\n      if (msize.length === 2) {\n        // array must be a column vector\n        if (msize[0] !== rows || msize[1] !== 1) {\n          throw new RangeError('Dimension mismatch. Matrix columns must match vector length.');\n        } // check matrix type\n\n\n        if (type.isDenseMatrix(b)) {\n          // check a copy is needed\n          if (copy) {\n            // create data array\n            data = []; // matrix data (DenseMatrix)\n\n            bdata = b._data; // loop b data\n\n            for (i = 0; i < rows; i++) {\n              // row array\n              data[i] = [bdata[i][0]];\n            } // return Dense Matrix\n\n\n            return new DenseMatrix({\n              data: data,\n              size: [rows, 1],\n              datatype: b._datatype\n            });\n          } // b is already a column vector\n\n\n          return b;\n        } // create data array\n\n\n        data = [];\n\n        for (i = 0; i < rows; i++) {\n          data[i] = [0];\n        } // sparse matrix arrays\n\n\n        var values = b._values;\n        var index = b._index;\n        var ptr = b._ptr; // loop values in column 0\n\n        for (var k1 = ptr[1], k = ptr[0]; k < k1; k++) {\n          // row\n          i = index[k]; // add to data\n\n          data[i][0] = values[k];\n        } // return Dense Matrix\n\n\n        return new DenseMatrix({\n          data: data,\n          size: [rows, 1],\n          datatype: b._datatype\n        });\n      } // throw error\n\n\n      throw new RangeError('Dimension mismatch. Matrix columns must match vector length.');\n    } // check b is array\n\n\n    if (isArray(b)) {\n      // size\n      var asize = array.size(b); // check matrix dimensions, vector\n\n      if (asize.length === 1) {\n        // check vector length\n        if (asize[0] !== rows) {\n          throw new RangeError('Dimension mismatch. Matrix columns must match vector length.');\n        } // create data array\n\n\n        data = []; // loop b\n\n        for (i = 0; i < rows; i++) {\n          // row array\n          data[i] = [b[i]];\n        } // return Dense Matrix\n\n\n        return new DenseMatrix({\n          data: data,\n          size: [rows, 1]\n        });\n      }\n\n      if (asize.length === 2) {\n        // array must be a column vector\n        if (asize[0] !== rows || asize[1] !== 1) {\n          throw new RangeError('Dimension mismatch. Matrix columns must match vector length.');\n        } // create data array\n\n\n        data = []; // loop b data\n\n        for (i = 0; i < rows; i++) {\n          // row array\n          data[i] = [b[i][0]];\n        } // return Dense Matrix\n\n\n        return new DenseMatrix({\n          data: data,\n          size: [rows, 1]\n        });\n      } // throw error\n\n\n      throw new RangeError('Dimension mismatch. Matrix columns must match vector length.');\n    }\n  };\n\n  return solveValidation;\n}\n\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var divideScalar = load(require('./divideScalar'));\n  /**\n   * Calculate the logarithm of a value.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.log(x)\n   *    math.log(x, base)\n   *\n   * Examples:\n   *\n   *    math.log(3.5)                  // returns 1.252762968495368\n   *    math.exp(math.log(2.4))        // returns 2.4\n   *\n   *    math.pow(10, 4)                // returns 10000\n   *    math.log(10000, 10)            // returns 4\n   *    math.log(10000) / math.log(10) // returns 4\n   *\n   *    math.log(1024, 2)              // returns 10\n   *    math.pow(2, 10)                // returns 1024\n   *\n   * See also:\n   *\n   *    exp, log2, log10, log1p\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x\n   *            Value for which to calculate the logarithm.\n   * @param {number | BigNumber | Complex} [base=e]\n   *            Optional base for the logarithm. If not provided, the natural\n   *            logarithm of `x` is calculated.\n   * @return {number | BigNumber | Complex | Array | Matrix}\n   *            Returns the logarithm of `x`\n   */\n\n  var log = typed('log', {\n    'number': function number(x) {\n      if (x >= 0 || config.predictable) {\n        return Math.log(x);\n      } else {\n        // negative value -> complex value computation\n        return new type.Complex(x, 0).log();\n      }\n    },\n    'Complex': function Complex(x) {\n      return x.log();\n    },\n    'BigNumber': function BigNumber(x) {\n      if (!x.isNegative() || config.predictable) {\n        return x.ln();\n      } else {\n        // downgrade to number, return Complex valued result\n        return new type.Complex(x.toNumber(), 0).log();\n      }\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, log);\n    },\n    'any, any': function anyAny(x, base) {\n      // calculate logarithm for a specified base, log(x, base)\n      return divideScalar(log(x), log(base));\n    }\n  });\n  log.toTex = {\n    1: \"\\\\ln\\\\left(${args[0]}\\\\right)\",\n    2: \"\\\\log_{${args[1]}}\\\\left(${args[0]}\\\\right)\"\n  };\n  return log;\n}\n\nexports.name = 'log';\nexports.factory = factory;","'use strict';\n\nvar bitNot = require('./bitNot');\n/**\n * Applies bitwise function to numbers\n * @param {BigNumber} x\n * @param {BigNumber} y\n * @param {function (a, b)} func\n * @return {BigNumber}\n */\n\n\nmodule.exports = function bitwise(x, y, func) {\n  var BigNumber = x.constructor;\n  var xBits, yBits;\n  var xSign = +(x.s < 0);\n  var ySign = +(y.s < 0);\n\n  if (xSign) {\n    xBits = decCoefficientToBinaryString(bitNot(x));\n\n    for (var i = 0; i < xBits.length; ++i) {\n      xBits[i] ^= 1;\n    }\n  } else {\n    xBits = decCoefficientToBinaryString(x);\n  }\n\n  if (ySign) {\n    yBits = decCoefficientToBinaryString(bitNot(y));\n\n    for (var _i = 0; _i < yBits.length; ++_i) {\n      yBits[_i] ^= 1;\n    }\n  } else {\n    yBits = decCoefficientToBinaryString(y);\n  }\n\n  var minBits, maxBits, minSign;\n\n  if (xBits.length <= yBits.length) {\n    minBits = xBits;\n    maxBits = yBits;\n    minSign = xSign;\n  } else {\n    minBits = yBits;\n    maxBits = xBits;\n    minSign = ySign;\n  }\n\n  var shortLen = minBits.length;\n  var longLen = maxBits.length;\n  var expFuncVal = func(xSign, ySign) ^ 1;\n  var outVal = new BigNumber(expFuncVal ^ 1);\n  var twoPower = new BigNumber(1);\n  var two = new BigNumber(2);\n  var prevPrec = BigNumber.precision;\n  BigNumber.config({\n    precision: 1E9\n  });\n\n  while (shortLen > 0) {\n    if (func(minBits[--shortLen], maxBits[--longLen]) === expFuncVal) {\n      outVal = outVal.plus(twoPower);\n    }\n\n    twoPower = twoPower.times(two);\n  }\n\n  while (longLen > 0) {\n    if (func(minSign, maxBits[--longLen]) === expFuncVal) {\n      outVal = outVal.plus(twoPower);\n    }\n\n    twoPower = twoPower.times(two);\n  }\n\n  BigNumber.config({\n    precision: prevPrec\n  });\n\n  if (expFuncVal === 0) {\n    outVal.s = -outVal.s;\n  }\n\n  return outVal;\n};\n/* Extracted from decimal.js, and edited to specialize. */\n\n\nfunction decCoefficientToBinaryString(x) {\n  // Convert to string\n  var a = x.d; // array with digits\n\n  var r = a[0] + '';\n\n  for (var i = 1; i < a.length; ++i) {\n    var s = a[i] + '';\n\n    for (var z = 7 - s.length; z--;) {\n      s = '0' + s;\n    }\n\n    r += s;\n  }\n\n  var j = r.length;\n\n  while (r.charAt(j) === '0') {\n    j--;\n  }\n\n  var xe = x.e;\n  var str = r.slice(0, j + 1 || 1);\n  var strL = str.length;\n\n  if (xe > 0) {\n    if (++xe > strL) {\n      // Append zeros.\n      xe -= strL;\n\n      while (xe--) {\n        str += '0';\n      }\n    } else if (xe < strL) {\n      str = str.slice(0, xe) + '.' + str.slice(xe);\n    }\n  } // Convert from base 10 (decimal) to base 2\n\n\n  var arr = [0];\n\n  for (var _i2 = 0; _i2 < str.length;) {\n    var arrL = arr.length;\n\n    while (arrL--) {\n      arr[arrL] *= 10;\n    }\n\n    arr[0] += parseInt(str.charAt(_i2++)); // convert to int\n\n    for (var _j = 0; _j < arr.length; ++_j) {\n      if (arr[_j] > 1) {\n        if (arr[_j + 1] === null || arr[_j + 1] === undefined) {\n          arr[_j + 1] = 0;\n        }\n\n        arr[_j + 1] += arr[_j] >> 1;\n        arr[_j] &= 1;\n      }\n    }\n  }\n\n  return arr.reverse();\n}","'use strict';\n/**\n * Bitwise not\n * @param {BigNumber} x\n * @return {BigNumber} Result of ~`x`, fully precise\n *\n */\n\nmodule.exports = function bitNot(x) {\n  if (x.isFinite() && !x.isInteger()) {\n    throw new Error('Integer expected in function bitNot');\n  }\n\n  var BigNumber = x.constructor;\n  var prevPrec = BigNumber.precision;\n  BigNumber.config({\n    precision: 1E9\n  });\n  var result = x.plus(new BigNumber(1));\n  result.s = -result.s || null;\n  BigNumber.config({\n    precision: prevPrec\n  });\n  return result;\n};","'use strict';\n\nvar DimensionError = require('../../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var equalScalar = load(require('../../../function/relational/equalScalar'));\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Iterates over SparseMatrix A and SparseMatrix B nonzero items and invokes the callback function f(Aij, Bij).\n   * Callback function invoked MAX(NNZA, NNZB) times\n   *\n   *\n   *          ┌  f(Aij, Bij)  ; A(i,j) !== 0 && B(i,j) !== 0\n   * C(i,j) = ┤  A(i,j)       ; A(i,j) !== 0\n   *          └  0            ; otherwise\n   *\n   *\n   * @param {Matrix}   a                 The SparseMatrix instance (A)\n   * @param {Matrix}   b                 The SparseMatrix instance (B)\n   * @param {Function} callback          The f(Aij,Bij) operation to invoke\n   *\n   * @return {Matrix}                    SparseMatrix (C)\n   *\n   * see https://github.com/josdejong/mathjs/pull/346#issuecomment-97620294\n   */\n\n  var algorithm08 = function algorithm08(a, b, callback) {\n    // sparse matrix arrays\n    var avalues = a._values;\n    var aindex = a._index;\n    var aptr = a._ptr;\n    var asize = a._size;\n    var adt = a._datatype; // sparse matrix arrays\n\n    var bvalues = b._values;\n    var bindex = b._index;\n    var bptr = b._ptr;\n    var bsize = b._size;\n    var bdt = b._datatype; // validate dimensions\n\n    if (asize.length !== bsize.length) {\n      throw new DimensionError(asize.length, bsize.length);\n    } // check rows & columns\n\n\n    if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) {\n      throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')');\n    } // sparse matrix cannot be a Pattern matrix\n\n\n    if (!avalues || !bvalues) {\n      throw new Error('Cannot perform operation on Pattern Sparse Matrices');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string' && adt === bdt) {\n      // datatype\n      dt = adt; // find signature that matches (dt, dt)\n\n      eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // result arrays\n\n\n    var cvalues = [];\n    var cindex = [];\n    var cptr = []; // matrix\n\n    var c = new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [rows, columns],\n      datatype: dt\n    }); // workspace\n\n    var x = []; // marks indicating we have a value in x for a given column\n\n    var w = []; // vars\n\n    var k, k0, k1, i; // loop columns\n\n    for (var j = 0; j < columns; j++) {\n      // update cptr\n      cptr[j] = cindex.length; // columns mark\n\n      var mark = j + 1; // loop values in a\n\n      for (k0 = aptr[j], k1 = aptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        i = aindex[k]; // mark workspace\n\n        w[i] = mark; // set value\n\n        x[i] = avalues[k]; // add index\n\n        cindex.push(i);\n      } // loop values in b\n\n\n      for (k0 = bptr[j], k1 = bptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        i = bindex[k]; // check value exists in workspace\n\n        if (w[i] === mark) {\n          // evaluate callback\n          x[i] = cf(x[i], bvalues[k]);\n        }\n      } // initialize first index in j\n\n\n      k = cptr[j]; // loop index in j\n\n      while (k < cindex.length) {\n        // row\n        i = cindex[k]; // value @ i\n\n        var v = x[i]; // check for zero value\n\n        if (!eq(v, zero)) {\n          // push value\n          cvalues.push(v); // increment pointer\n\n          k++;\n        } else {\n          // remove value @ i, do not increment pointer\n          cindex.splice(k, 1);\n        }\n      }\n    } // update cptr\n\n\n    cptr[columns] = cindex.length; // return sparse matrix\n\n    return c;\n  };\n\n  return algorithm08;\n}\n\nexports.name = 'algorithm08';\nexports.factory = factory;","\"use strict\";\n/** @param {integer} i\n *  @param {integer} n\n *  @returns : product of i to n\n */\n\nfunction product(i, n) {\n  var half;\n\n  if (n < i) {\n    return 1;\n  }\n\n  if (n === i) {\n    return n;\n  }\n\n  half = n + i >> 1; // divide (n + i) by 2 and truncate to integer\n\n  return product(i, half) * product(half + 1, n);\n}\n\nmodule.exports = product;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type, config, load, typed) {\n  var isNumeric = load(require('../utils/isNumeric'));\n  var isNaN = load(require('../utils/isNaN'));\n  var asc = load(require('../relational/compare'));\n\n  function desc(a, b) {\n    return -asc(a, b);\n  }\n  /**\n   * Partition-based selection of an array or 1D matrix.\n   * Will find the kth smallest value, and mutates the input array.\n   * Uses Quickselect.\n   *\n   * Syntax:\n   *\n   *    math.partitionSelect(x, k)\n   *    math.partitionSelect(x, k, compare)\n   *\n   * Examples:\n   *\n   *    math.partitionSelect([5, 10, 1], 2)           // returns 10\n   *    math.partitionSelect(['C', 'B', 'A', 'D'], 1) // returns 'B'\n   *\n   *    function sortByLength (a, b) {\n   *      return a.length - b.length\n   *    }\n   *    math.partitionSelect(['Langdon', 'Tom', 'Sara'], 2, sortByLength) // returns 'Langdon'\n   *\n   * See also:\n   *\n   *    sort\n   *\n   * @param {Matrix | Array} x    A one dimensional matrix or array to sort\n   * @param {Number} k            The kth smallest value to be retrieved zero-based index\n   * @param {Function | 'asc' | 'desc'} [compare='asc']\n   *        An optional comparator function. The function is called as\n   *        `compare(a, b)`, and must return 1 when a > b, -1 when a < b,\n   *        and 0 when a == b.\n   * @return {*} Returns the kth lowest value.\n   */\n\n\n  return typed('partitionSelect', {\n    'Array | Matrix, number': function ArrayMatrixNumber(x, k) {\n      return _partitionSelect(x, k, asc);\n    },\n    'Array | Matrix, number, string': function ArrayMatrixNumberString(x, k, compare) {\n      if (compare === 'asc') {\n        return _partitionSelect(x, k, asc);\n      } else if (compare === 'desc') {\n        return _partitionSelect(x, k, desc);\n      } else {\n        throw new Error('Compare string must be \"asc\" or \"desc\"');\n      }\n    },\n    'Array | Matrix, number, function': _partitionSelect\n  });\n\n  function _partitionSelect(x, k, compare) {\n    if (!isInteger(k) || k < 0) {\n      throw new Error('k must be a non-negative integer');\n    }\n\n    if (type.isMatrix(x)) {\n      var size = x.size();\n\n      if (size.length > 1) {\n        throw new Error('Only one dimensional matrices supported');\n      }\n\n      return quickSelect(x.valueOf(), k, compare);\n    }\n\n    if (Array.isArray(x)) {\n      return quickSelect(x, k, compare);\n    }\n  }\n  /**\n   * Quickselect algorithm.\n   * Code adapted from:\n   * http://blog.teamleadnet.com/2012/07/quick-select-algorithm-find-kth-element.html\n   *\n   * @param {Array} arr\n   * @param {Number} k\n   * @param {Function} compare\n   * @private\n   */\n\n\n  function quickSelect(arr, k, compare) {\n    if (k >= arr.length) {\n      throw new Error('k out of bounds');\n    } // check for NaN values since these can cause an infinite while loop\n\n\n    for (var i = 0; i < arr.length; i++) {\n      if (isNumeric(arr[i]) && isNaN(arr[i])) {\n        return arr[i]; // return NaN\n      }\n    }\n\n    var from = 0;\n    var to = arr.length - 1; // if from == to we reached the kth element\n\n    while (from < to) {\n      var r = from;\n      var w = to;\n      var pivot = arr[Math.floor(Math.random() * (to - from + 1)) + from]; // stop if the reader and writer meets\n\n      while (r < w) {\n        // arr[r] >= pivot\n        if (compare(arr[r], pivot) >= 0) {\n          // put the large values at the end\n          var tmp = arr[w];\n          arr[w] = arr[r];\n          arr[r] = tmp;\n          --w;\n        } else {\n          // the value is smaller than the pivot, skip\n          ++r;\n        }\n      } // if we stepped up (r++) we need to step one down (arr[r] > pivot)\n\n\n      if (compare(arr[r], pivot) > 0) {\n        --r;\n      } // the r pointer is on the end of the first k elements\n\n\n      if (k <= r) {\n        to = r;\n      } else {\n        from = r + 1;\n      }\n    }\n\n    return arr[k];\n  }\n}\n\nexports.name = 'partitionSelect';\nexports.factory = factory;","'use strict';\n\nvar deepForEach = require('../../utils/collection/deepForEach');\n\nvar reduce = require('../../utils/collection/reduce');\n\nvar containsCollections = require('../../utils/collection/containsCollections');\n\nfunction factory(type, config, load, typed) {\n  var larger = load(require('../relational/larger'));\n  var improveErrorMessage = load(require('./utils/improveErrorMessage'));\n  /**\n   * Compute the maximum value of a matrix or a  list with values.\n   * In case of a multi dimensional array, the maximum of the flattened array\n   * will be calculated. When `dim` is provided, the maximum over the selected\n   * dimension will be calculated. Parameter `dim` is zero-based.\n   *\n   * Syntax:\n   *\n   *     math.max(a, b, c, ...)\n   *     math.max(A)\n   *     math.max(A, dim)\n   *\n   * Examples:\n   *\n   *     math.max(2, 1, 4, 3)                  // returns 4\n   *     math.max([2, 1, 4, 3])                // returns 4\n   *\n   *     // maximum over a specified dimension (zero-based)\n   *     math.max([[2, 5], [4, 3], [1, 7]], 0) // returns [4, 7]\n   *     math.max([[2, 5], [4, 3]], [1, 7], 1) // returns [5, 4, 7]\n   *\n   *     math.max(2.7, 7.1, -4.5, 2.0, 4.1)    // returns 7.1\n   *     math.min(2.7, 7.1, -4.5, 2.0, 4.1)    // returns -4.5\n   *\n   * See also:\n   *\n   *    mean, median, min, prod, std, sum, var\n   *\n   * @param {... *} args  A single matrix or or multiple scalar values\n   * @return {*} The maximum value\n   */\n\n  var max = typed('max', {\n    // max([a, b, c, d, ...])\n    'Array | Matrix': _max,\n    // max([a, b, c, d, ...], dim)\n    'Array | Matrix, number | BigNumber': function ArrayMatrixNumberBigNumber(array, dim) {\n      return reduce(array, dim.valueOf(), _largest);\n    },\n    // max(a, b, c, d, ...)\n    '...': function _(args) {\n      if (containsCollections(args)) {\n        throw new TypeError('Scalar values expected in function max');\n      }\n\n      return _max(args);\n    }\n  });\n  max.toTex = \"\\\\max\\\\left(${args}\\\\right)\";\n  return max;\n  /**\n   * Return the largest of two values\n   * @param {*} x\n   * @param {*} y\n   * @returns {*} Returns x when x is largest, or y when y is largest\n   * @private\n   */\n\n  function _largest(x, y) {\n    try {\n      return larger(x, y) ? x : y;\n    } catch (err) {\n      throw improveErrorMessage(err, 'max', y);\n    }\n  }\n  /**\n   * Recursively calculate the maximum value in an n-dimensional array\n   * @param {Array} array\n   * @return {number} max\n   * @private\n   */\n\n\n  function _max(array) {\n    var max;\n    deepForEach(array, function (value) {\n      try {\n        if (isNaN(value) && typeof value === 'number') {\n          max = NaN;\n        } else if (max === undefined || larger(value, max)) {\n          max = value;\n        }\n      } catch (err) {\n        throw improveErrorMessage(err, 'max', value);\n      }\n    });\n\n    if (max === undefined) {\n      throw new Error('Cannot calculate max of an empty array');\n    }\n\n    return max;\n  }\n}\n\nexports.name = 'max';\nexports.factory = factory;","'use strict';\n\nvar deepForEach = require('../../utils/collection/deepForEach');\n\nvar reduce = require('../../utils/collection/reduce');\n\nvar containsCollections = require('../../utils/collection/containsCollections');\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/addScalar'));\n  var improveErrorMessage = load(require('./utils/improveErrorMessage'));\n  /**\n   * Compute the sum of a matrix or a list with values.\n   * In case of a (multi dimensional) array or matrix, the sum of all\n   * elements will be calculated.\n   *\n   * Syntax:\n   *\n   *     math.sum(a, b, c, ...)\n   *     math.sum(A)\n   *\n   * Examples:\n   *\n   *     math.sum(2, 1, 4, 3)               // returns 10\n   *     math.sum([2, 1, 4, 3])             // returns 10\n   *     math.sum([[2, 5], [4, 3], [1, 7]]) // returns 22\n   *\n   * See also:\n   *\n   *    mean, median, min, max, prod, std, var\n   *\n   * @param {... *} args  A single matrix or or multiple scalar values\n   * @return {*} The sum of all values\n   */\n\n  var sum = typed('sum', {\n    // sum([a, b, c, d, ...])\n    'Array | Matrix': _sum,\n    // sum([a, b, c, d, ...], dim)\n    'Array | Matrix, number | BigNumber': _nsumDim,\n    // sum(a, b, c, d, ...)\n    '...': function _(args) {\n      if (containsCollections(args)) {\n        throw new TypeError('Scalar values expected in function sum');\n      }\n\n      return _sum(args);\n    }\n  });\n  sum.toTex = undefined; // use default template\n\n  return sum;\n  /**\n   * Recursively calculate the sum of an n-dimensional array\n   * @param {Array} array\n   * @return {number} sum\n   * @private\n   */\n\n  function _sum(array) {\n    var sum;\n    deepForEach(array, function (value) {\n      try {\n        sum = sum === undefined ? value : add(sum, value);\n      } catch (err) {\n        throw improveErrorMessage(err, 'sum', value);\n      }\n    });\n\n    if (sum === undefined) {\n      switch (config.number) {\n        case 'number':\n          return 0;\n\n        case 'BigNumber':\n          return new type.BigNumber(0);\n\n        case 'Fraction':\n          return new type.Fraction(0);\n\n        default:\n          return 0;\n      }\n    }\n\n    return sum;\n  }\n\n  function _nsumDim(array, dim) {\n    try {\n      var _sum2 = reduce(array, dim, add);\n\n      return _sum2;\n    } catch (err) {\n      throw improveErrorMessage(err, 'sum');\n    }\n  }\n}\n\nexports.name = 'sum';\nexports.factory = factory;","'use strict';\n\nvar ArgumentsError = require('../../error/ArgumentsError');\n\nvar isCollection = require('../../utils/collection/isCollection');\n\nvar isNumber = require('../../utils/number').isNumber; // TODO: rethink math.distribution\n// TODO: rework to a typed function\n\n\nfunction factory(type, config, load, typed, math) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n\n  var array = require('../../utils/array'); // seeded pseudo random number generator\n\n\n  var rng = load(require('./seededRNG'));\n  /**\n   * Create a distribution object with a set of random functions for given\n   * random distribution.\n   *\n   * Syntax:\n   *\n   *     math.distribution(name)\n   *\n   * Examples:\n   *\n   *     const normalDist = math.distribution('normal') // create a normal distribution\n   *     normalDist.random(0, 10)                     // get a random value between 0 and 10\n   *\n   * See also:\n   *\n   *     random, randomInt, pickRandom\n   *\n   * @param {string} name   Name of a distribution. Choose from 'uniform', 'normal'.\n   * @return {Object}       Returns a distribution object containing functions:\n   *                        `random([size] [, min] [, max])`,\n   *                        `randomInt([min] [, max])`,\n   *                        `pickRandom(array)`\n   */\n\n  function distribution(name) {\n    if (!distributions.hasOwnProperty(name)) {\n      throw new Error('Unknown distribution ' + name);\n    }\n\n    var args = Array.prototype.slice.call(arguments, 1);\n    var distribution = distributions[name].apply(this, args);\n    return function (distribution) {\n      // This is the public API for all distributions\n      var randFunctions = {\n        random: function random(arg1, arg2, arg3) {\n          var size, min, max;\n\n          if (arguments.length > 3) {\n            throw new ArgumentsError('random', arguments.length, 0, 3);\n          } else if (arguments.length === 1) {\n            // `random(max)` or `random(size)`\n            if (isCollection(arg1)) {\n              size = arg1;\n            } else {\n              max = arg1;\n            }\n          } else if (arguments.length === 2) {\n            // `random(min, max)` or `random(size, max)`\n            if (isCollection(arg1)) {\n              size = arg1;\n              max = arg2;\n            } else {\n              min = arg1;\n              max = arg2;\n            }\n          } else {\n            // `random(size, min, max)`\n            size = arg1;\n            min = arg2;\n            max = arg3;\n          } // TODO: validate type of size\n\n\n          if (min !== undefined && !isNumber(min) || max !== undefined && !isNumber(max)) {\n            throw new TypeError('Invalid argument in function random');\n          }\n\n          if (max === undefined) max = 1;\n          if (min === undefined) min = 0;\n\n          if (size !== undefined) {\n            var res = _randomDataForMatrix(size.valueOf(), min, max, _random);\n\n            return type.isMatrix(size) ? matrix(res) : res;\n          }\n\n          return _random(min, max);\n        },\n        randomInt: typed({\n          'number | Array': function numberArray(arg) {\n            var min = 0;\n\n            if (isCollection(arg)) {\n              var size = arg;\n              var max = 1;\n\n              var res = _randomDataForMatrix(size.valueOf(), min, max, _randomInt);\n\n              return type.isMatrix(size) ? matrix(res) : res;\n            } else {\n              var _max = arg;\n              return _randomInt(min, _max);\n            }\n          },\n          'number | Array, number': function numberArrayNumber(arg1, arg2) {\n            if (isCollection(arg1)) {\n              var size = arg1;\n              var max = arg2;\n              var min = 0;\n\n              var res = _randomDataForMatrix(size.valueOf(), min, max, _randomInt);\n\n              return type.isMatrix(size) ? matrix(res) : res;\n            } else {\n              var _min = arg1;\n              var _max2 = arg2;\n              return _randomInt(_min, _max2);\n            }\n          },\n          'Array, number, number': function ArrayNumberNumber(size, min, max) {\n            var res = _randomDataForMatrix(size.valueOf(), min, max, _randomInt);\n\n            return size && size.isMatrix === true ? matrix(res) : res;\n          }\n        }),\n        pickRandom: typed({\n          'Array': function Array(possibles) {\n            return _pickRandom(possibles);\n          },\n          'Array, number | Array': function ArrayNumberArray(possibles, arg2) {\n            var number, weights;\n\n            if (Array.isArray(arg2)) {\n              weights = arg2;\n            } else if (isNumber(arg2)) {\n              number = arg2;\n            } else {\n              throw new TypeError('Invalid argument in function pickRandom');\n            }\n\n            return _pickRandom(possibles, number, weights);\n          },\n          'Array, number | Array, Array | number': function ArrayNumberArrayArrayNumber(possibles, arg2, arg3) {\n            var number, weights;\n\n            if (Array.isArray(arg2)) {\n              weights = arg2;\n              number = arg3;\n            } else {\n              weights = arg3;\n              number = arg2;\n            }\n\n            if (!Array.isArray(weights) || !isNumber(number)) {\n              throw new TypeError('Invalid argument in function pickRandom');\n            }\n\n            return _pickRandom(possibles, number, weights);\n          }\n        })\n      };\n\n      function _pickRandom(possibles, number, weights) {\n        var single = typeof number === 'undefined';\n\n        if (single) {\n          number = 1;\n        }\n\n        if (type.isMatrix(possibles)) {\n          possibles = possibles.valueOf(); // get Array\n        } else if (!Array.isArray(possibles)) {\n          throw new TypeError('Unsupported type of value in function pickRandom');\n        }\n\n        if (array.size(possibles).length > 1) {\n          throw new Error('Only one dimensional vectors supported');\n        }\n\n        var totalWeights = 0;\n\n        if (typeof weights !== 'undefined') {\n          if (weights.length !== possibles.length) {\n            throw new Error('Weights must have the same length as possibles');\n          }\n\n          for (var i = 0, len = weights.length; i < len; i++) {\n            if (!isNumber(weights[i]) || weights[i] < 0) {\n              throw new Error('Weights must be an array of positive numbers');\n            }\n\n            totalWeights += weights[i];\n          }\n        }\n\n        var length = possibles.length;\n\n        if (length === 0) {\n          return [];\n        } else if (number >= length) {\n          return number > 1 ? possibles : possibles[0];\n        }\n\n        var result = [];\n        var pick;\n\n        while (result.length < number) {\n          if (typeof weights === 'undefined') {\n            pick = possibles[Math.floor(rng() * length)];\n          } else {\n            var randKey = rng() * totalWeights;\n\n            for (var _i = 0, _len = possibles.length; _i < _len; _i++) {\n              randKey -= weights[_i];\n\n              if (randKey < 0) {\n                pick = possibles[_i];\n                break;\n              }\n            }\n          }\n\n          if (result.indexOf(pick) === -1) {\n            result.push(pick);\n          }\n        }\n\n        return single ? result[0] : result; // TODO: add support for multi dimensional matrices\n      }\n\n      function _random(min, max) {\n        return min + distribution() * (max - min);\n      }\n\n      function _randomInt(min, max) {\n        return Math.floor(min + distribution() * (max - min));\n      } // This is a function for generating a random matrix recursively.\n\n\n      function _randomDataForMatrix(size, min, max, randFunc) {\n        var data = [];\n        size = size.slice(0);\n\n        if (size.length > 1) {\n          for (var i = 0, length = size.shift(); i < length; i++) {\n            data.push(_randomDataForMatrix(size, min, max, randFunc));\n          }\n        } else {\n          for (var _i2 = 0, _length = size.shift(); _i2 < _length; _i2++) {\n            data.push(randFunc(min, max));\n          }\n        }\n\n        return data;\n      }\n\n      return randFunctions;\n    }(distribution);\n  } // Each distribution is a function that takes no argument and when called returns\n  // a number between 0 and 1.\n\n\n  var distributions = {\n    uniform: function uniform() {\n      return rng;\n    },\n    // Implementation of normal distribution using Box-Muller transform\n    // ref : http://en.wikipedia.org/wiki/Box%E2%80%93Muller_transform\n    // We take : mean = 0.5, standard deviation = 1/6\n    // so that 99.7% values are in [0, 1].\n    normal: function normal() {\n      return function () {\n        var u1;\n        var u2;\n        var picked = -1; // We reject values outside of the interval [0, 1]\n        // TODO: check if it is ok to do that?\n\n        while (picked < 0 || picked > 1) {\n          u1 = rng();\n          u2 = rng();\n          picked = 1 / 6 * Math.pow(-2 * Math.log(u1), 0.5) * Math.cos(2 * Math.PI * u2) + 0.5;\n        }\n\n        return picked;\n      };\n    }\n  };\n  distribution.toTex = undefined; // use default template\n\n  return distribution;\n}\n\nexports.name = 'distribution';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Compile an inline expression like \"x > 0\"\n   * @param {Node} expression\n   * @param {Object} math\n   * @param {Object} scope\n   * @return {function} Returns a function with one argument which fills in the\n   *                    undefined variable (like \"x\") and evaluates the expression\n   */\n  return function compileInlineExpression(expression, math, scope) {\n    // find an undefined symbol\n    var symbol = expression.filter(function (node) {\n      return type.isSymbolNode(node) && !(node.name in math) && !(node.name in scope);\n    })[0];\n\n    if (!symbol) {\n      throw new Error('No undefined variable found in inline expression \"' + expression + '\"');\n    } // create a test function for this equation\n\n\n    var name = symbol.name; // variable name\n\n    var subScope = Object.create(scope);\n    var eq = expression.compile();\n    return function inlineExpression(x) {\n      subScope[name] = x;\n      return eq.eval(subScope);\n    };\n  };\n}\n\nexports.factory = factory;","import defineProperty from \"./defineProperty\";\nexport default function _objectSpread(target) {\n  for (var i = 1; i < arguments.length; i++) {\n    var source = arguments[i] != null ? arguments[i] : {};\n    var ownKeys = Object.keys(source);\n\n    if (typeof Object.getOwnPropertySymbols === 'function') {\n      ownKeys = ownKeys.concat(Object.getOwnPropertySymbols(source).filter(function (sym) {\n        return Object.getOwnPropertyDescriptor(source, sym).enumerable;\n      }));\n    }\n\n    ownKeys.forEach(function (key) {\n      defineProperty(target, key, source[key]);\n    });\n  }\n\n  return target;\n}","\"use strict\";\n\nvar __extends = this && this.__extends || function () {\n  var extendStatics = Object.setPrototypeOf || {\n    __proto__: []\n  } instanceof Array && function (d, b) {\n    d.__proto__ = b;\n  } || function (d, b) {\n    for (var p in b) {\n      if (b.hasOwnProperty(p)) d[p] = b[p];\n    }\n  };\n\n  return function (d, b) {\n    extendStatics(d, b);\n\n    function __() {\n      this.constructor = d;\n    }\n\n    d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());\n  };\n}();\n\nObject.defineProperty(exports, \"__esModule\", {\n  value: true\n});\n\nvar mobx_1 = require(\"mobx\");\n\nvar reactive_localstorage_1 = require(\"reactive-localstorage\");\n\nvar referenceEnhancer = mobx_1.observable.map({}, {\n  deep: false\n}).enhancer;\n\nvar LocalStorage =\n/** @class */\nfunction (_super) {\n  __extends(LocalStorage, _super);\n\n  function LocalStorage() {\n    var _this = _super.call(this, undefined, referenceEnhancer, 'LocalStorage') || this;\n\n    var len = reactive_localstorage_1.default.length;\n\n    for (var i = 0; i < len; i++) {\n      var key = reactive_localstorage_1.default.key(i);\n      var value = parseValue(reactive_localstorage_1.default.getItem(key));\n\n      _super.prototype.set.call(_this, key, value);\n    }\n\n    reactive_localstorage_1.default.on('change', function (key, value) {\n      if (typeof value === 'string') {\n        _super.prototype.set.call(_this, key, parseValue(value));\n      } else {\n        _super.prototype.delete.call(_this, key);\n      }\n    });\n    return _this;\n  }\n\n  Object.defineProperty(LocalStorage.prototype, \"length\", {\n    get: function get() {\n      return this.size;\n    },\n    enumerable: true,\n    configurable: true\n  });\n\n  LocalStorage.prototype.key = function (index) {\n    return reactive_localstorage_1.default.key(index);\n  };\n\n  LocalStorage.prototype.getItem = function (key) {\n    return _super.prototype.has.call(this, key) ? _super.prototype.get.call(this, key) : null;\n  };\n\n  LocalStorage.prototype.setItem = function (key, value) {\n    this.set(key, value);\n  };\n\n  LocalStorage.prototype.removeItem = function (key) {\n    return _super.prototype.delete.call(this, key);\n  };\n\n  LocalStorage.prototype.clear = function () {\n    reactive_localstorage_1.default.clear();\n\n    _super.prototype.clear.call(this);\n  };\n\n  LocalStorage.prototype.set = function (key, value) {\n    reactive_localstorage_1.default.setItem(key, JSON.stringify(mobx_1.toJS(value)));\n    return this;\n  };\n\n  LocalStorage.prototype.delete = function (key) {\n    var has = _super.prototype.has.call(this, key);\n\n    reactive_localstorage_1.default.removeItem(key);\n    return has;\n  };\n\n  return LocalStorage;\n}(mobx_1.ObservableMap);\n\nexports.LocalStorage = LocalStorage;\n\nfunction parseValue(value) {\n  try {\n    return JSON.parse(value);\n  } catch (e) {// ignore if cannot parse as JSON\n  }\n\n  return value;\n}\n\nexports.parseValue = parseValue;\nexports.default = new LocalStorage();","module.exports = require('./lib/main');","/*\nobject-assign\n(c) Sindre Sorhus\n@license MIT\n*/\n'use strict';\n/* eslint-disable no-unused-vars */\n\nvar getOwnPropertySymbols = Object.getOwnPropertySymbols;\nvar hasOwnProperty = Object.prototype.hasOwnProperty;\nvar propIsEnumerable = Object.prototype.propertyIsEnumerable;\n\nfunction toObject(val) {\n  if (val === null || val === undefined) {\n    throw new TypeError('Object.assign cannot be called with null or undefined');\n  }\n\n  return Object(val);\n}\n\nfunction shouldUseNative() {\n  try {\n    if (!Object.assign) {\n      return false;\n    } // Detect buggy property enumeration order in older V8 versions.\n    // https://bugs.chromium.org/p/v8/issues/detail?id=4118\n\n\n    var test1 = new String('abc'); // eslint-disable-line no-new-wrappers\n\n    test1[5] = 'de';\n\n    if (Object.getOwnPropertyNames(test1)[0] === '5') {\n      return false;\n    } // https://bugs.chromium.org/p/v8/issues/detail?id=3056\n\n\n    var test2 = {};\n\n    for (var i = 0; i < 10; i++) {\n      test2['_' + String.fromCharCode(i)] = i;\n    }\n\n    var order2 = Object.getOwnPropertyNames(test2).map(function (n) {\n      return test2[n];\n    });\n\n    if (order2.join('') !== '0123456789') {\n      return false;\n    } // https://bugs.chromium.org/p/v8/issues/detail?id=3056\n\n\n    var test3 = {};\n    'abcdefghijklmnopqrst'.split('').forEach(function (letter) {\n      test3[letter] = letter;\n    });\n\n    if (Object.keys(Object.assign({}, test3)).join('') !== 'abcdefghijklmnopqrst') {\n      return false;\n    }\n\n    return true;\n  } catch (err) {\n    // We don't expect any of the above to throw, but better to be safe.\n    return false;\n  }\n}\n\nmodule.exports = shouldUseNative() ? Object.assign : function (target, source) {\n  var from;\n  var to = toObject(target);\n  var symbols;\n\n  for (var s = 1; s < arguments.length; s++) {\n    from = Object(arguments[s]);\n\n    for (var key in from) {\n      if (hasOwnProperty.call(from, key)) {\n        to[key] = from[key];\n      }\n    }\n\n    if (getOwnPropertySymbols) {\n      symbols = getOwnPropertySymbols(from);\n\n      for (var i = 0; i < symbols.length; i++) {\n        if (propIsEnumerable.call(from, symbols[i])) {\n          to[symbols[i]] = from[symbols[i]];\n        }\n      }\n    }\n  }\n\n  return to;\n};","// shim for using process in browser\nvar process = module.exports = {}; // cached from whatever global is present so that test runners that stub it\n// don't break things.  But we need to wrap it in a try catch in case it is\n// wrapped in strict mode code which doesn't define any globals.  It's inside a\n// function because try/catches deoptimize in certain engines.\n\nvar cachedSetTimeout;\nvar cachedClearTimeout;\n\nfunction defaultSetTimout() {\n  throw new Error('setTimeout has not been defined');\n}\n\nfunction defaultClearTimeout() {\n  throw new Error('clearTimeout has not been defined');\n}\n\n(function () {\n  try {\n    if (typeof setTimeout === 'function') {\n      cachedSetTimeout = setTimeout;\n    } else {\n      cachedSetTimeout = defaultSetTimout;\n    }\n  } catch (e) {\n    cachedSetTimeout = defaultSetTimout;\n  }\n\n  try {\n    if (typeof clearTimeout === 'function') {\n      cachedClearTimeout = clearTimeout;\n    } else {\n      cachedClearTimeout = defaultClearTimeout;\n    }\n  } catch (e) {\n    cachedClearTimeout = defaultClearTimeout;\n  }\n})();\n\nfunction runTimeout(fun) {\n  if (cachedSetTimeout === setTimeout) {\n    //normal enviroments in sane situations\n    return setTimeout(fun, 0);\n  } // if setTimeout wasn't available but was latter defined\n\n\n  if ((cachedSetTimeout === defaultSetTimout || !cachedSetTimeout) && setTimeout) {\n    cachedSetTimeout = setTimeout;\n    return setTimeout(fun, 0);\n  }\n\n  try {\n    // when when somebody has screwed with setTimeout but no I.E. maddness\n    return cachedSetTimeout(fun, 0);\n  } catch (e) {\n    try {\n      // When we are in I.E. but the script has been evaled so I.E. doesn't trust the global object when called normally\n      return cachedSetTimeout.call(null, fun, 0);\n    } catch (e) {\n      // same as above but when it's a version of I.E. that must have the global object for 'this', hopfully our context correct otherwise it will throw a global error\n      return cachedSetTimeout.call(this, fun, 0);\n    }\n  }\n}\n\nfunction runClearTimeout(marker) {\n  if (cachedClearTimeout === clearTimeout) {\n    //normal enviroments in sane situations\n    return clearTimeout(marker);\n  } // if clearTimeout wasn't available but was latter defined\n\n\n  if ((cachedClearTimeout === defaultClearTimeout || !cachedClearTimeout) && clearTimeout) {\n    cachedClearTimeout = clearTimeout;\n    return clearTimeout(marker);\n  }\n\n  try {\n    // when when somebody has screwed with setTimeout but no I.E. maddness\n    return cachedClearTimeout(marker);\n  } catch (e) {\n    try {\n      // When we are in I.E. but the script has been evaled so I.E. doesn't  trust the global object when called normally\n      return cachedClearTimeout.call(null, marker);\n    } catch (e) {\n      // same as above but when it's a version of I.E. that must have the global object for 'this', hopfully our context correct otherwise it will throw a global error.\n      // Some versions of I.E. have different rules for clearTimeout vs setTimeout\n      return cachedClearTimeout.call(this, marker);\n    }\n  }\n}\n\nvar queue = [];\nvar draining = false;\nvar currentQueue;\nvar queueIndex = -1;\n\nfunction cleanUpNextTick() {\n  if (!draining || !currentQueue) {\n    return;\n  }\n\n  draining = false;\n\n  if (currentQueue.length) {\n    queue = currentQueue.concat(queue);\n  } else {\n    queueIndex = -1;\n  }\n\n  if (queue.length) {\n    drainQueue();\n  }\n}\n\nfunction drainQueue() {\n  if (draining) {\n    return;\n  }\n\n  var timeout = runTimeout(cleanUpNextTick);\n  draining = true;\n  var len = queue.length;\n\n  while (len) {\n    currentQueue = queue;\n    queue = [];\n\n    while (++queueIndex < len) {\n      if (currentQueue) {\n        currentQueue[queueIndex].run();\n      }\n    }\n\n    queueIndex = -1;\n    len = queue.length;\n  }\n\n  currentQueue = null;\n  draining = false;\n  runClearTimeout(timeout);\n}\n\nprocess.nextTick = function (fun) {\n  var args = new Array(arguments.length - 1);\n\n  if (arguments.length > 1) {\n    for (var i = 1; i < arguments.length; i++) {\n      args[i - 1] = arguments[i];\n    }\n  }\n\n  queue.push(new Item(fun, args));\n\n  if (queue.length === 1 && !draining) {\n    runTimeout(drainQueue);\n  }\n}; // v8 likes predictible objects\n\n\nfunction Item(fun, array) {\n  this.fun = fun;\n  this.array = array;\n}\n\nItem.prototype.run = function () {\n  this.fun.apply(null, this.array);\n};\n\nprocess.title = 'browser';\nprocess.browser = true;\nprocess.env = {};\nprocess.argv = [];\nprocess.version = ''; // empty string to avoid regexp issues\n\nprocess.versions = {};\n\nfunction noop() {}\n\nprocess.on = noop;\nprocess.addListener = noop;\nprocess.once = noop;\nprocess.off = noop;\nprocess.removeListener = noop;\nprocess.removeAllListeners = noop;\nprocess.emit = noop;\nprocess.prependListener = noop;\nprocess.prependOnceListener = noop;\n\nprocess.listeners = function (name) {\n  return [];\n};\n\nprocess.binding = function (name) {\n  throw new Error('process.binding is not supported');\n};\n\nprocess.cwd = function () {\n  return '/';\n};\n\nprocess.chdir = function (dir) {\n  throw new Error('process.chdir is not supported');\n};\n\nprocess.umask = function () {\n  return 0;\n};","module.exports = function (module) {\n  if (!module.webpackPolyfill) {\n    module.deprecate = function () {};\n\n    module.paths = []; // module.parent = undefined by default\n\n    if (!module.children) module.children = [];\n    Object.defineProperty(module, \"loaded\", {\n      enumerable: true,\n      get: function get() {\n        return module.l;\n      }\n    });\n    Object.defineProperty(module, \"id\", {\n      enumerable: true,\n      get: function get() {\n        return module.i;\n      }\n    });\n    module.webpackPolyfill = 1;\n  }\n\n  return module;\n};","'use strict';\n\nmodule.exports = function bind(fn, thisArg) {\n  return function wrap() {\n    var args = new Array(arguments.length);\n\n    for (var i = 0; i < args.length; i++) {\n      args[i] = arguments[i];\n    }\n\n    return fn.apply(thisArg, args);\n  };\n};","'use strict';\n\nvar utils = require('./../utils');\n\nvar settle = require('./../core/settle');\n\nvar buildURL = require('./../helpers/buildURL');\n\nvar parseHeaders = require('./../helpers/parseHeaders');\n\nvar isURLSameOrigin = require('./../helpers/isURLSameOrigin');\n\nvar createError = require('../core/createError');\n\nvar btoa = typeof window !== 'undefined' && window.btoa && window.btoa.bind(window) || require('./../helpers/btoa');\n\nmodule.exports = function xhrAdapter(config) {\n  return new Promise(function dispatchXhrRequest(resolve, reject) {\n    var requestData = config.data;\n    var requestHeaders = config.headers;\n\n    if (utils.isFormData(requestData)) {\n      delete requestHeaders['Content-Type']; // Let the browser set it\n    }\n\n    var request = new XMLHttpRequest();\n    var loadEvent = 'onreadystatechange';\n    var xDomain = false; // For IE 8/9 CORS support\n    // Only supports POST and GET calls and doesn't returns the response headers.\n    // DON'T do this for testing b/c XMLHttpRequest is mocked, not XDomainRequest.\n\n    if (process.env.NODE_ENV !== 'test' && typeof window !== 'undefined' && window.XDomainRequest && !('withCredentials' in request) && !isURLSameOrigin(config.url)) {\n      request = new window.XDomainRequest();\n      loadEvent = 'onload';\n      xDomain = true;\n\n      request.onprogress = function handleProgress() {};\n\n      request.ontimeout = function handleTimeout() {};\n    } // HTTP basic authentication\n\n\n    if (config.auth) {\n      var username = config.auth.username || '';\n      var password = config.auth.password || '';\n      requestHeaders.Authorization = 'Basic ' + btoa(username + ':' + password);\n    }\n\n    request.open(config.method.toUpperCase(), buildURL(config.url, config.params, config.paramsSerializer), true); // Set the request timeout in MS\n\n    request.timeout = config.timeout; // Listen for ready state\n\n    request[loadEvent] = function handleLoad() {\n      if (!request || request.readyState !== 4 && !xDomain) {\n        return;\n      } // The request errored out and we didn't get a response, this will be\n      // handled by onerror instead\n      // With one exception: request that using file: protocol, most browsers\n      // will return status as 0 even though it's a successful request\n\n\n      if (request.status === 0 && !(request.responseURL && request.responseURL.indexOf('file:') === 0)) {\n        return;\n      } // Prepare the response\n\n\n      var responseHeaders = 'getAllResponseHeaders' in request ? parseHeaders(request.getAllResponseHeaders()) : null;\n      var responseData = !config.responseType || config.responseType === 'text' ? request.responseText : request.response;\n      var response = {\n        data: responseData,\n        // IE sends 1223 instead of 204 (https://github.com/axios/axios/issues/201)\n        status: request.status === 1223 ? 204 : request.status,\n        statusText: request.status === 1223 ? 'No Content' : request.statusText,\n        headers: responseHeaders,\n        config: config,\n        request: request\n      };\n      settle(resolve, reject, response); // Clean up request\n\n      request = null;\n    }; // Handle low level network errors\n\n\n    request.onerror = function handleError() {\n      // Real errors are hidden from us by the browser\n      // onerror should only fire if it's a network error\n      reject(createError('Network Error', config, null, request)); // Clean up request\n\n      request = null;\n    }; // Handle timeout\n\n\n    request.ontimeout = function handleTimeout() {\n      reject(createError('timeout of ' + config.timeout + 'ms exceeded', config, 'ECONNABORTED', request)); // Clean up request\n\n      request = null;\n    }; // Add xsrf header\n    // This is only done if running in a standard browser environment.\n    // Specifically not if we're in a web worker, or react-native.\n\n\n    if (utils.isStandardBrowserEnv()) {\n      var cookies = require('./../helpers/cookies'); // Add xsrf header\n\n\n      var xsrfValue = (config.withCredentials || isURLSameOrigin(config.url)) && config.xsrfCookieName ? cookies.read(config.xsrfCookieName) : undefined;\n\n      if (xsrfValue) {\n        requestHeaders[config.xsrfHeaderName] = xsrfValue;\n      }\n    } // Add headers to the request\n\n\n    if ('setRequestHeader' in request) {\n      utils.forEach(requestHeaders, function setRequestHeader(val, key) {\n        if (typeof requestData === 'undefined' && key.toLowerCase() === 'content-type') {\n          // Remove Content-Type if data is undefined\n          delete requestHeaders[key];\n        } else {\n          // Otherwise add header to the request\n          request.setRequestHeader(key, val);\n        }\n      });\n    } // Add withCredentials to request if needed\n\n\n    if (config.withCredentials) {\n      request.withCredentials = true;\n    } // Add responseType to request if needed\n\n\n    if (config.responseType) {\n      try {\n        request.responseType = config.responseType;\n      } catch (e) {\n        // Expected DOMException thrown by browsers not compatible XMLHttpRequest Level 2.\n        // But, this can be suppressed for 'json' type as it can be parsed by default 'transformResponse' function.\n        if (config.responseType !== 'json') {\n          throw e;\n        }\n      }\n    } // Handle progress if needed\n\n\n    if (typeof config.onDownloadProgress === 'function') {\n      request.addEventListener('progress', config.onDownloadProgress);\n    } // Not all browsers support upload events\n\n\n    if (typeof config.onUploadProgress === 'function' && request.upload) {\n      request.upload.addEventListener('progress', config.onUploadProgress);\n    }\n\n    if (config.cancelToken) {\n      // Handle cancellation\n      config.cancelToken.promise.then(function onCanceled(cancel) {\n        if (!request) {\n          return;\n        }\n\n        request.abort();\n        reject(cancel); // Clean up request\n\n        request = null;\n      });\n    }\n\n    if (requestData === undefined) {\n      requestData = null;\n    } // Send the request\n\n\n    request.send(requestData);\n  });\n};","'use strict';\n\nvar enhanceError = require('./enhanceError');\n/**\n * Create an Error with the specified message, config, error code, request and response.\n *\n * @param {string} message The error message.\n * @param {Object} config The config.\n * @param {string} [code] The error code (for example, 'ECONNABORTED').\n * @param {Object} [request] The request.\n * @param {Object} [response] The response.\n * @returns {Error} The created error.\n */\n\n\nmodule.exports = function createError(message, config, code, request, response) {\n  var error = new Error(message);\n  return enhanceError(error, config, code, request, response);\n};","'use strict';\n\nmodule.exports = function isCancel(value) {\n  return !!(value && value.__CANCEL__);\n};","'use strict';\n/**\n * A `Cancel` is an object that is thrown when an operation is canceled.\n *\n * @class\n * @param {string=} message The message.\n */\n\nfunction Cancel(message) {\n  this.message = message;\n}\n\nCancel.prototype.toString = function toString() {\n  return 'Cancel' + (this.message ? ': ' + this.message : '');\n};\n\nCancel.prototype.__CANCEL__ = true;\nmodule.exports = Cancel;","\"use strict\";\n\nexports.__esModule = true;\nexports.default = exports.EXITING = exports.ENTERED = exports.ENTERING = exports.EXITED = exports.UNMOUNTED = void 0;\n\nvar PropTypes = _interopRequireWildcard(require(\"prop-types\"));\n\nvar _react = _interopRequireDefault(require(\"react\"));\n\nvar _reactDom = _interopRequireDefault(require(\"react-dom\"));\n\nvar _reactLifecyclesCompat = require(\"react-lifecycles-compat\");\n\nvar _PropTypes = require(\"./utils/PropTypes\");\n\nfunction _interopRequireDefault(obj) {\n  return obj && obj.__esModule ? obj : {\n    default: obj\n  };\n}\n\nfunction _interopRequireWildcard(obj) {\n  if (obj && obj.__esModule) {\n    return obj;\n  } else {\n    var newObj = {};\n\n    if (obj != null) {\n      for (var key in obj) {\n        if (Object.prototype.hasOwnProperty.call(obj, key)) {\n          var desc = Object.defineProperty && Object.getOwnPropertyDescriptor ? Object.getOwnPropertyDescriptor(obj, key) : {};\n\n          if (desc.get || desc.set) {\n            Object.defineProperty(newObj, key, desc);\n          } else {\n            newObj[key] = obj[key];\n          }\n        }\n      }\n    }\n\n    newObj.default = obj;\n    return newObj;\n  }\n}\n\nfunction _objectWithoutPropertiesLoose(source, excluded) {\n  if (source == null) return {};\n  var target = {};\n  var sourceKeys = Object.keys(source);\n  var key, i;\n\n  for (i = 0; i < sourceKeys.length; i++) {\n    key = sourceKeys[i];\n    if (excluded.indexOf(key) >= 0) continue;\n    target[key] = source[key];\n  }\n\n  return target;\n}\n\nfunction _inheritsLoose(subClass, superClass) {\n  subClass.prototype = Object.create(superClass.prototype);\n  subClass.prototype.constructor = subClass;\n  subClass.__proto__ = superClass;\n}\n\nvar UNMOUNTED = 'unmounted';\nexports.UNMOUNTED = UNMOUNTED;\nvar EXITED = 'exited';\nexports.EXITED = EXITED;\nvar ENTERING = 'entering';\nexports.ENTERING = ENTERING;\nvar ENTERED = 'entered';\nexports.ENTERED = ENTERED;\nvar EXITING = 'exiting';\n/**\n * The Transition component lets you describe a transition from one component\n * state to another _over time_ with a simple declarative API. Most commonly\n * it's used to animate the mounting and unmounting of a component, but can also\n * be used to describe in-place transition states as well.\n *\n * By default the `Transition` component does not alter the behavior of the\n * component it renders, it only tracks \"enter\" and \"exit\" states for the components.\n * It's up to you to give meaning and effect to those states. For example we can\n * add styles to a component when it enters or exits:\n *\n * ```jsx\n * import Transition from 'react-transition-group/Transition';\n *\n * const duration = 300;\n *\n * const defaultStyle = {\n *   transition: `opacity ${duration}ms ease-in-out`,\n *   opacity: 0,\n * }\n *\n * const transitionStyles = {\n *   entering: { opacity: 0 },\n *   entered:  { opacity: 1 },\n * };\n *\n * const Fade = ({ in: inProp }) => (\n *   <Transition in={inProp} timeout={duration}>\n *     {(state) => (\n *       <div style={{\n *         ...defaultStyle,\n *         ...transitionStyles[state]\n *       }}>\n *         I'm a fade Transition!\n *       </div>\n *     )}\n *   </Transition>\n * );\n * ```\n *\n * As noted the `Transition` component doesn't _do_ anything by itself to its child component.\n * What it does do is track transition states over time so you can update the\n * component (such as by adding styles or classes) when it changes states.\n *\n * There are 4 main states a Transition can be in:\n *  - `'entering'`\n *  - `'entered'`\n *  - `'exiting'`\n *  - `'exited'`\n *\n * Transition state is toggled via the `in` prop. When `true` the component begins the\n * \"Enter\" stage. During this stage, the component will shift from its current transition state,\n * to `'entering'` for the duration of the transition and then to the `'entered'` stage once\n * it's complete. Let's take the following example:\n *\n * ```jsx\n * state = { in: false };\n *\n * toggleEnterState = () => {\n *   this.setState({ in: true });\n * }\n *\n * render() {\n *   return (\n *     <div>\n *       <Transition in={this.state.in} timeout={500} />\n *       <button onClick={this.toggleEnterState}>Click to Enter</button>\n *     </div>\n *   );\n * }\n * ```\n *\n * When the button is clicked the component will shift to the `'entering'` state and\n * stay there for 500ms (the value of `timeout`) before it finally switches to `'entered'`.\n *\n * When `in` is `false` the same thing happens except the state moves from `'exiting'` to `'exited'`.\n *\n * ## Timing\n *\n * Timing is often the trickiest part of animation, mistakes can result in slight delays\n * that are hard to pin down. A common example is when you want to add an exit transition,\n * you should set the desired final styles when the state is `'exiting'`. That's when the\n * transition to those styles will start and, if you matched the `timeout` prop with the\n * CSS Transition duration, it will end exactly when the state changes to `'exited'`.\n *\n * > **Note**: For simpler transitions the `Transition` component might be enough, but\n * > take into account that it's platform-agnostic, while the `CSSTransition` component\n * > [forces reflows](https://github.com/reactjs/react-transition-group/blob/5007303e729a74be66a21c3e2205e4916821524b/src/CSSTransition.js#L208-L215)\n * > in order to make more complex transitions more predictable. For example, even though\n * > classes `example-enter` and `example-enter-active` are applied immediately one after\n * > another, you can still transition from one to the other because of the forced reflow\n * > (read [this issue](https://github.com/reactjs/react-transition-group/issues/159#issuecomment-322761171)\n * > for more info). Take this into account when choosing between `Transition` and\n * > `CSSTransition`.\n */\n\nexports.EXITING = EXITING;\n\nvar Transition =\n/*#__PURE__*/\nfunction (_React$Component) {\n  _inheritsLoose(Transition, _React$Component);\n\n  function Transition(props, context) {\n    var _this;\n\n    _this = _React$Component.call(this, props, context) || this;\n    var parentGroup = context.transitionGroup; // In the context of a TransitionGroup all enters are really appears\n\n    var appear = parentGroup && !parentGroup.isMounting ? props.enter : props.appear;\n    var initialStatus;\n    _this.appearStatus = null;\n\n    if (props.in) {\n      if (appear) {\n        initialStatus = EXITED;\n        _this.appearStatus = ENTERING;\n      } else {\n        initialStatus = ENTERED;\n      }\n    } else {\n      if (props.unmountOnExit || props.mountOnEnter) {\n        initialStatus = UNMOUNTED;\n      } else {\n        initialStatus = EXITED;\n      }\n    }\n\n    _this.state = {\n      status: initialStatus\n    };\n    _this.nextCallback = null;\n    return _this;\n  }\n\n  var _proto = Transition.prototype;\n\n  _proto.getChildContext = function getChildContext() {\n    return {\n      transitionGroup: null // allows for nested Transitions\n\n    };\n  };\n\n  Transition.getDerivedStateFromProps = function getDerivedStateFromProps(_ref, prevState) {\n    var nextIn = _ref.in;\n\n    if (nextIn && prevState.status === UNMOUNTED) {\n      return {\n        status: EXITED\n      };\n    }\n\n    return null;\n  }; // getSnapshotBeforeUpdate(prevProps) {\n  //   let nextStatus = null\n  //   if (prevProps !== this.props) {\n  //     const { status } = this.state\n  //     if (this.props.in) {\n  //       if (status !== ENTERING && status !== ENTERED) {\n  //         nextStatus = ENTERING\n  //       }\n  //     } else {\n  //       if (status === ENTERING || status === ENTERED) {\n  //         nextStatus = EXITING\n  //       }\n  //     }\n  //   }\n  //   return { nextStatus }\n  // }\n\n\n  _proto.componentDidMount = function componentDidMount() {\n    this.updateStatus(true, this.appearStatus);\n  };\n\n  _proto.componentDidUpdate = function componentDidUpdate(prevProps) {\n    var nextStatus = null;\n\n    if (prevProps !== this.props) {\n      var status = this.state.status;\n\n      if (this.props.in) {\n        if (status !== ENTERING && status !== ENTERED) {\n          nextStatus = ENTERING;\n        }\n      } else {\n        if (status === ENTERING || status === ENTERED) {\n          nextStatus = EXITING;\n        }\n      }\n    }\n\n    this.updateStatus(false, nextStatus);\n  };\n\n  _proto.componentWillUnmount = function componentWillUnmount() {\n    this.cancelNextCallback();\n  };\n\n  _proto.getTimeouts = function getTimeouts() {\n    var timeout = this.props.timeout;\n    var exit, enter, appear;\n    exit = enter = appear = timeout;\n\n    if (timeout != null && typeof timeout !== 'number') {\n      exit = timeout.exit;\n      enter = timeout.enter;\n      appear = timeout.appear;\n    }\n\n    return {\n      exit: exit,\n      enter: enter,\n      appear: appear\n    };\n  };\n\n  _proto.updateStatus = function updateStatus(mounting, nextStatus) {\n    if (mounting === void 0) {\n      mounting = false;\n    }\n\n    if (nextStatus !== null) {\n      // nextStatus will always be ENTERING or EXITING.\n      this.cancelNextCallback();\n\n      var node = _reactDom.default.findDOMNode(this);\n\n      if (nextStatus === ENTERING) {\n        this.performEnter(node, mounting);\n      } else {\n        this.performExit(node);\n      }\n    } else if (this.props.unmountOnExit && this.state.status === EXITED) {\n      this.setState({\n        status: UNMOUNTED\n      });\n    }\n  };\n\n  _proto.performEnter = function performEnter(node, mounting) {\n    var _this2 = this;\n\n    var enter = this.props.enter;\n    var appearing = this.context.transitionGroup ? this.context.transitionGroup.isMounting : mounting;\n    var timeouts = this.getTimeouts(); // no enter animation skip right to ENTERED\n    // if we are mounting and running this it means appear _must_ be set\n\n    if (!mounting && !enter) {\n      this.safeSetState({\n        status: ENTERED\n      }, function () {\n        _this2.props.onEntered(node);\n      });\n      return;\n    }\n\n    this.props.onEnter(node, appearing);\n    this.safeSetState({\n      status: ENTERING\n    }, function () {\n      _this2.props.onEntering(node, appearing); // FIXME: appear timeout?\n\n\n      _this2.onTransitionEnd(node, timeouts.enter, function () {\n        _this2.safeSetState({\n          status: ENTERED\n        }, function () {\n          _this2.props.onEntered(node, appearing);\n        });\n      });\n    });\n  };\n\n  _proto.performExit = function performExit(node) {\n    var _this3 = this;\n\n    var exit = this.props.exit;\n    var timeouts = this.getTimeouts(); // no exit animation skip right to EXITED\n\n    if (!exit) {\n      this.safeSetState({\n        status: EXITED\n      }, function () {\n        _this3.props.onExited(node);\n      });\n      return;\n    }\n\n    this.props.onExit(node);\n    this.safeSetState({\n      status: EXITING\n    }, function () {\n      _this3.props.onExiting(node);\n\n      _this3.onTransitionEnd(node, timeouts.exit, function () {\n        _this3.safeSetState({\n          status: EXITED\n        }, function () {\n          _this3.props.onExited(node);\n        });\n      });\n    });\n  };\n\n  _proto.cancelNextCallback = function cancelNextCallback() {\n    if (this.nextCallback !== null) {\n      this.nextCallback.cancel();\n      this.nextCallback = null;\n    }\n  };\n\n  _proto.safeSetState = function safeSetState(nextState, callback) {\n    // This shouldn't be necessary, but there are weird race conditions with\n    // setState callbacks and unmounting in testing, so always make sure that\n    // we can cancel any pending setState callbacks after we unmount.\n    callback = this.setNextCallback(callback);\n    this.setState(nextState, callback);\n  };\n\n  _proto.setNextCallback = function setNextCallback(callback) {\n    var _this4 = this;\n\n    var active = true;\n\n    this.nextCallback = function (event) {\n      if (active) {\n        active = false;\n        _this4.nextCallback = null;\n        callback(event);\n      }\n    };\n\n    this.nextCallback.cancel = function () {\n      active = false;\n    };\n\n    return this.nextCallback;\n  };\n\n  _proto.onTransitionEnd = function onTransitionEnd(node, timeout, handler) {\n    this.setNextCallback(handler);\n\n    if (node) {\n      if (this.props.addEndListener) {\n        this.props.addEndListener(node, this.nextCallback);\n      }\n\n      if (timeout != null) {\n        setTimeout(this.nextCallback, timeout);\n      }\n    } else {\n      setTimeout(this.nextCallback, 0);\n    }\n  };\n\n  _proto.render = function render() {\n    var status = this.state.status;\n\n    if (status === UNMOUNTED) {\n      return null;\n    }\n\n    var _this$props = this.props,\n        children = _this$props.children,\n        childProps = _objectWithoutPropertiesLoose(_this$props, [\"children\"]); // filter props for Transtition\n\n\n    delete childProps.in;\n    delete childProps.mountOnEnter;\n    delete childProps.unmountOnExit;\n    delete childProps.appear;\n    delete childProps.enter;\n    delete childProps.exit;\n    delete childProps.timeout;\n    delete childProps.addEndListener;\n    delete childProps.onEnter;\n    delete childProps.onEntering;\n    delete childProps.onEntered;\n    delete childProps.onExit;\n    delete childProps.onExiting;\n    delete childProps.onExited;\n\n    if (typeof children === 'function') {\n      return children(status, childProps);\n    }\n\n    var child = _react.default.Children.only(children);\n\n    return _react.default.cloneElement(child, childProps);\n  };\n\n  return Transition;\n}(_react.default.Component);\n\nTransition.contextTypes = {\n  transitionGroup: PropTypes.object\n};\nTransition.childContextTypes = {\n  transitionGroup: function transitionGroup() {}\n};\nTransition.propTypes = process.env.NODE_ENV !== \"production\" ? {\n  /**\n   * A `function` child can be used instead of a React element.\n   * This function is called with the current transition status\n   * ('entering', 'entered', 'exiting', 'exited', 'unmounted'), which can be used\n   * to apply context specific props to a component.\n   *\n   * ```jsx\n   * <Transition timeout={150}>\n   *   {(status) => (\n   *     <MyComponent className={`fade fade-${status}`} />\n   *   )}\n   * </Transition>\n   * ```\n   */\n  children: PropTypes.oneOfType([PropTypes.func.isRequired, PropTypes.element.isRequired]).isRequired,\n\n  /**\n   * Show the component; triggers the enter or exit states\n   */\n  in: PropTypes.bool,\n\n  /**\n   * By default the child component is mounted immediately along with\n   * the parent `Transition` component. If you want to \"lazy mount\" the component on the\n   * first `in={true}` you can set `mountOnEnter`. After the first enter transition the component will stay\n   * mounted, even on \"exited\", unless you also specify `unmountOnExit`.\n   */\n  mountOnEnter: PropTypes.bool,\n\n  /**\n   * By default the child component stays mounted after it reaches the `'exited'` state.\n   * Set `unmountOnExit` if you'd prefer to unmount the component after it finishes exiting.\n   */\n  unmountOnExit: PropTypes.bool,\n\n  /**\n   * Normally a component is not transitioned if it is shown when the `<Transition>` component mounts.\n   * If you want to transition on the first mount set `appear` to `true`, and the\n   * component will transition in as soon as the `<Transition>` mounts.\n   *\n   * > Note: there are no specific \"appear\" states. `appear` only adds an additional `enter` transition.\n   */\n  appear: PropTypes.bool,\n\n  /**\n   * Enable or disable enter transitions.\n   */\n  enter: PropTypes.bool,\n\n  /**\n   * Enable or disable exit transitions.\n   */\n  exit: PropTypes.bool,\n\n  /**\n   * The duration of the transition, in milliseconds.\n   * Required unless `addEndListener` is provided\n   *\n   * You may specify a single timeout for all transitions like: `timeout={500}`,\n   * or individually like:\n   *\n   * ```jsx\n   * timeout={{\n   *  enter: 300,\n   *  exit: 500,\n   * }}\n   * ```\n   *\n   * @type {number | { enter?: number, exit?: number }}\n   */\n  timeout: function timeout(props) {\n    var pt = process.env.NODE_ENV !== \"production\" ? _PropTypes.timeoutsShape : {};\n    ;\n    if (!props.addEndListener) pt = pt.isRequired;\n\n    for (var _len = arguments.length, args = new Array(_len > 1 ? _len - 1 : 0), _key = 1; _key < _len; _key++) {\n      args[_key - 1] = arguments[_key];\n    }\n\n    return pt.apply(void 0, [props].concat(args));\n  },\n\n  /**\n   * Add a custom transition end trigger. Called with the transitioning\n   * DOM node and a `done` callback. Allows for more fine grained transition end\n   * logic. **Note:** Timeouts are still used as a fallback if provided.\n   *\n   * ```jsx\n   * addEndListener={(node, done) => {\n   *   // use the css transitionend event to mark the finish of a transition\n   *   node.addEventListener('transitionend', done, false);\n   * }}\n   * ```\n   */\n  addEndListener: PropTypes.func,\n\n  /**\n   * Callback fired before the \"entering\" status is applied. An extra parameter\n   * `isAppearing` is supplied to indicate if the enter stage is occurring on the initial mount\n   *\n   * @type Function(node: HtmlElement, isAppearing: bool) -> void\n   */\n  onEnter: PropTypes.func,\n\n  /**\n   * Callback fired after the \"entering\" status is applied. An extra parameter\n   * `isAppearing` is supplied to indicate if the enter stage is occurring on the initial mount\n   *\n   * @type Function(node: HtmlElement, isAppearing: bool)\n   */\n  onEntering: PropTypes.func,\n\n  /**\n   * Callback fired after the \"entered\" status is applied. An extra parameter\n   * `isAppearing` is supplied to indicate if the enter stage is occurring on the initial mount\n   *\n   * @type Function(node: HtmlElement, isAppearing: bool) -> void\n   */\n  onEntered: PropTypes.func,\n\n  /**\n   * Callback fired before the \"exiting\" status is applied.\n   *\n   * @type Function(node: HtmlElement) -> void\n   */\n  onExit: PropTypes.func,\n\n  /**\n   * Callback fired after the \"exiting\" status is applied.\n   *\n   * @type Function(node: HtmlElement) -> void\n   */\n  onExiting: PropTypes.func,\n\n  /**\n   * Callback fired after the \"exited\" status is applied.\n   *\n   * @type Function(node: HtmlElement) -> void\n   */\n  onExited: PropTypes.func // Name the function so it is clearer in the documentation\n\n} : {};\n\nfunction noop() {}\n\nTransition.defaultProps = {\n  in: false,\n  mountOnEnter: false,\n  unmountOnExit: false,\n  appear: false,\n  enter: true,\n  exit: true,\n  onEnter: noop,\n  onEntering: noop,\n  onEntered: noop,\n  onExit: noop,\n  onExiting: noop,\n  onExited: noop\n};\nTransition.UNMOUNTED = 0;\nTransition.EXITED = 1;\nTransition.ENTERING = 2;\nTransition.ENTERED = 3;\nTransition.EXITING = 4;\n\nvar _default = (0, _reactLifecyclesCompat.polyfill)(Transition);\n\nexports.default = _default;","/**\n * Copyright (c) 2013-present, Facebook, Inc.\n *\n * This source code is licensed under the MIT license found in the\n * LICENSE file in the root directory of this source tree.\n */\nfunction componentWillMount() {\n  // Call this.constructor.gDSFP to support sub-classes.\n  var state = this.constructor.getDerivedStateFromProps(this.props, this.state);\n\n  if (state !== null && state !== undefined) {\n    this.setState(state);\n  }\n}\n\nfunction componentWillReceiveProps(nextProps) {\n  // Call this.constructor.gDSFP to support sub-classes.\n  // Use the setState() updater to ensure state isn't stale in certain edge cases.\n  function updater(prevState) {\n    var state = this.constructor.getDerivedStateFromProps(nextProps, prevState);\n    return state !== null && state !== undefined ? state : null;\n  } // Binding \"this\" is important for shallow renderer support.\n\n\n  this.setState(updater.bind(this));\n}\n\nfunction componentWillUpdate(nextProps, nextState) {\n  try {\n    var prevProps = this.props;\n    var prevState = this.state;\n    this.props = nextProps;\n    this.state = nextState;\n    this.__reactInternalSnapshotFlag = true;\n    this.__reactInternalSnapshot = this.getSnapshotBeforeUpdate(prevProps, prevState);\n  } finally {\n    this.props = prevProps;\n    this.state = prevState;\n  }\n} // React may warn about cWM/cWRP/cWU methods being deprecated.\n// Add a flag to suppress these warnings for this special case.\n\n\ncomponentWillMount.__suppressDeprecationWarning = true;\ncomponentWillReceiveProps.__suppressDeprecationWarning = true;\ncomponentWillUpdate.__suppressDeprecationWarning = true;\n\nfunction polyfill(Component) {\n  var prototype = Component.prototype;\n\n  if (!prototype || !prototype.isReactComponent) {\n    throw new Error('Can only polyfill class components');\n  }\n\n  if (typeof Component.getDerivedStateFromProps !== 'function' && typeof prototype.getSnapshotBeforeUpdate !== 'function') {\n    return Component;\n  } // If new component APIs are defined, \"unsafe\" lifecycles won't be called.\n  // Error if any of these lifecycles are present,\n  // Because they would work differently between older and newer (16.3+) versions of React.\n\n\n  var foundWillMountName = null;\n  var foundWillReceivePropsName = null;\n  var foundWillUpdateName = null;\n\n  if (typeof prototype.componentWillMount === 'function') {\n    foundWillMountName = 'componentWillMount';\n  } else if (typeof prototype.UNSAFE_componentWillMount === 'function') {\n    foundWillMountName = 'UNSAFE_componentWillMount';\n  }\n\n  if (typeof prototype.componentWillReceiveProps === 'function') {\n    foundWillReceivePropsName = 'componentWillReceiveProps';\n  } else if (typeof prototype.UNSAFE_componentWillReceiveProps === 'function') {\n    foundWillReceivePropsName = 'UNSAFE_componentWillReceiveProps';\n  }\n\n  if (typeof prototype.componentWillUpdate === 'function') {\n    foundWillUpdateName = 'componentWillUpdate';\n  } else if (typeof prototype.UNSAFE_componentWillUpdate === 'function') {\n    foundWillUpdateName = 'UNSAFE_componentWillUpdate';\n  }\n\n  if (foundWillMountName !== null || foundWillReceivePropsName !== null || foundWillUpdateName !== null) {\n    var componentName = Component.displayName || Component.name;\n    var newApiName = typeof Component.getDerivedStateFromProps === 'function' ? 'getDerivedStateFromProps()' : 'getSnapshotBeforeUpdate()';\n    throw Error('Unsafe legacy lifecycles will not be called for components using new component APIs.\\n\\n' + componentName + ' uses ' + newApiName + ' but also contains the following legacy lifecycles:' + (foundWillMountName !== null ? '\\n  ' + foundWillMountName : '') + (foundWillReceivePropsName !== null ? '\\n  ' + foundWillReceivePropsName : '') + (foundWillUpdateName !== null ? '\\n  ' + foundWillUpdateName : '') + '\\n\\nThe above lifecycles should be removed. Learn more about this warning here:\\n' + 'https://fb.me/react-async-component-lifecycle-hooks');\n  } // React <= 16.2 does not support static getDerivedStateFromProps.\n  // As a workaround, use cWM and cWRP to invoke the new static lifecycle.\n  // Newer versions of React will ignore these lifecycles if gDSFP exists.\n\n\n  if (typeof Component.getDerivedStateFromProps === 'function') {\n    prototype.componentWillMount = componentWillMount;\n    prototype.componentWillReceiveProps = componentWillReceiveProps;\n  } // React <= 16.2 does not support getSnapshotBeforeUpdate.\n  // As a workaround, use cWU to invoke the new lifecycle.\n  // Newer versions of React will ignore that lifecycle if gSBU exists.\n\n\n  if (typeof prototype.getSnapshotBeforeUpdate === 'function') {\n    if (typeof prototype.componentDidUpdate !== 'function') {\n      throw new Error('Cannot polyfill getSnapshotBeforeUpdate() for components that do not define componentDidUpdate() on the prototype');\n    }\n\n    prototype.componentWillUpdate = componentWillUpdate;\n    var componentDidUpdate = prototype.componentDidUpdate;\n\n    prototype.componentDidUpdate = function componentDidUpdatePolyfill(prevProps, prevState, maybeSnapshot) {\n      // 16.3+ will not execute our will-update method;\n      // It will pass a snapshot value to did-update though.\n      // Older versions will require our polyfilled will-update value.\n      // We need to handle both cases, but can't just check for the presence of \"maybeSnapshot\",\n      // Because for <= 15.x versions this might be a \"prevContext\" object.\n      // We also can't just check \"__reactInternalSnapshot\",\n      // Because get-snapshot might return a falsy value.\n      // So check for the explicit __reactInternalSnapshotFlag flag to determine behavior.\n      var snapshot = this.__reactInternalSnapshotFlag ? this.__reactInternalSnapshot : maybeSnapshot;\n      componentDidUpdate.call(this, prevProps, prevState, snapshot);\n    };\n  }\n\n  return Component;\n}\n\nexport { polyfill };","\"use strict\";\n\nexports.__esModule = true;\nexports.classNamesShape = exports.timeoutsShape = void 0;\n\nvar _propTypes = _interopRequireDefault(require(\"prop-types\"));\n\nfunction _interopRequireDefault(obj) {\n  return obj && obj.__esModule ? obj : {\n    default: obj\n  };\n}\n\nvar timeoutsShape = process.env.NODE_ENV !== 'production' ? _propTypes.default.oneOfType([_propTypes.default.number, _propTypes.default.shape({\n  enter: _propTypes.default.number,\n  exit: _propTypes.default.number\n}).isRequired]) : null;\nexports.timeoutsShape = timeoutsShape;\nvar classNamesShape = process.env.NODE_ENV !== 'production' ? _propTypes.default.oneOfType([_propTypes.default.string, _propTypes.default.shape({\n  enter: _propTypes.default.string,\n  exit: _propTypes.default.string,\n  active: _propTypes.default.string\n}), _propTypes.default.shape({\n  enter: _propTypes.default.string,\n  enterDone: _propTypes.default.string,\n  enterActive: _propTypes.default.string,\n  exit: _propTypes.default.string,\n  exitDone: _propTypes.default.string,\n  exitActive: _propTypes.default.string\n})]) : null;\nexports.classNamesShape = classNamesShape;","\"use strict\";\n\nexports.__esModule = true;\nexports.default = void 0;\n\nvar _propTypes = _interopRequireDefault(require(\"prop-types\"));\n\nvar _react = _interopRequireDefault(require(\"react\"));\n\nvar _reactLifecyclesCompat = require(\"react-lifecycles-compat\");\n\nvar _ChildMapping = require(\"./utils/ChildMapping\");\n\nfunction _interopRequireDefault(obj) {\n  return obj && obj.__esModule ? obj : {\n    default: obj\n  };\n}\n\nfunction _objectWithoutPropertiesLoose(source, excluded) {\n  if (source == null) return {};\n  var target = {};\n  var sourceKeys = Object.keys(source);\n  var key, i;\n\n  for (i = 0; i < sourceKeys.length; i++) {\n    key = sourceKeys[i];\n    if (excluded.indexOf(key) >= 0) continue;\n    target[key] = source[key];\n  }\n\n  return target;\n}\n\nfunction _extends() {\n  _extends = Object.assign || function (target) {\n    for (var i = 1; i < arguments.length; i++) {\n      var source = arguments[i];\n\n      for (var key in source) {\n        if (Object.prototype.hasOwnProperty.call(source, key)) {\n          target[key] = source[key];\n        }\n      }\n    }\n\n    return target;\n  };\n\n  return _extends.apply(this, arguments);\n}\n\nfunction _inheritsLoose(subClass, superClass) {\n  subClass.prototype = Object.create(superClass.prototype);\n  subClass.prototype.constructor = subClass;\n  subClass.__proto__ = superClass;\n}\n\nfunction _assertThisInitialized(self) {\n  if (self === void 0) {\n    throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n  }\n\n  return self;\n}\n\nvar values = Object.values || function (obj) {\n  return Object.keys(obj).map(function (k) {\n    return obj[k];\n  });\n};\n\nvar defaultProps = {\n  component: 'div',\n  childFactory: function childFactory(child) {\n    return child;\n  }\n  /**\n   * The `<TransitionGroup>` component manages a set of transition components\n   * (`<Transition>` and `<CSSTransition>`) in a list. Like with the transition\n   * components, `<TransitionGroup>` is a state machine for managing the mounting\n   * and unmounting of components over time.\n   *\n   * Consider the example below. As items are removed or added to the TodoList the\n   * `in` prop is toggled automatically by the `<TransitionGroup>`.\n   *\n   * Note that `<TransitionGroup>`  does not define any animation behavior!\n   * Exactly _how_ a list item animates is up to the individual transition\n   * component. This means you can mix and match animations across different list\n   * items.\n   */\n\n};\n\nvar TransitionGroup =\n/*#__PURE__*/\nfunction (_React$Component) {\n  _inheritsLoose(TransitionGroup, _React$Component);\n\n  function TransitionGroup(props, context) {\n    var _this;\n\n    _this = _React$Component.call(this, props, context) || this;\n\n    var handleExited = _this.handleExited.bind(_assertThisInitialized(_assertThisInitialized(_this))); // Initial children should all be entering, dependent on appear\n\n\n    _this.state = {\n      handleExited: handleExited,\n      firstRender: true\n    };\n    return _this;\n  }\n\n  var _proto = TransitionGroup.prototype;\n\n  _proto.getChildContext = function getChildContext() {\n    return {\n      transitionGroup: {\n        isMounting: !this.appeared\n      }\n    };\n  };\n\n  _proto.componentDidMount = function componentDidMount() {\n    this.appeared = true;\n    this.mounted = true;\n  };\n\n  _proto.componentWillUnmount = function componentWillUnmount() {\n    this.mounted = false;\n  };\n\n  TransitionGroup.getDerivedStateFromProps = function getDerivedStateFromProps(nextProps, _ref) {\n    var prevChildMapping = _ref.children,\n        handleExited = _ref.handleExited,\n        firstRender = _ref.firstRender;\n    return {\n      children: firstRender ? (0, _ChildMapping.getInitialChildMapping)(nextProps, handleExited) : (0, _ChildMapping.getNextChildMapping)(nextProps, prevChildMapping, handleExited),\n      firstRender: false\n    };\n  };\n\n  _proto.handleExited = function handleExited(child, node) {\n    var currentChildMapping = (0, _ChildMapping.getChildMapping)(this.props.children);\n    if (child.key in currentChildMapping) return;\n\n    if (child.props.onExited) {\n      child.props.onExited(node);\n    }\n\n    if (this.mounted) {\n      this.setState(function (state) {\n        var children = _extends({}, state.children);\n\n        delete children[child.key];\n        return {\n          children: children\n        };\n      });\n    }\n  };\n\n  _proto.render = function render() {\n    var _this$props = this.props,\n        Component = _this$props.component,\n        childFactory = _this$props.childFactory,\n        props = _objectWithoutPropertiesLoose(_this$props, [\"component\", \"childFactory\"]);\n\n    var children = values(this.state.children).map(childFactory);\n    delete props.appear;\n    delete props.enter;\n    delete props.exit;\n\n    if (Component === null) {\n      return children;\n    }\n\n    return _react.default.createElement(Component, props, children);\n  };\n\n  return TransitionGroup;\n}(_react.default.Component);\n\nTransitionGroup.childContextTypes = {\n  transitionGroup: _propTypes.default.object.isRequired\n};\nTransitionGroup.propTypes = process.env.NODE_ENV !== \"production\" ? {\n  /**\n   * `<TransitionGroup>` renders a `<div>` by default. You can change this\n   * behavior by providing a `component` prop.\n   * If you use React v16+ and would like to avoid a wrapping `<div>` element\n   * you can pass in `component={null}`. This is useful if the wrapping div\n   * borks your css styles.\n   */\n  component: _propTypes.default.any,\n\n  /**\n   * A set of `<Transition>` components, that are toggled `in` and out as they\n   * leave. the `<TransitionGroup>` will inject specific transition props, so\n   * remember to spread them through if you are wrapping the `<Transition>` as\n   * with our `<Fade>` example.\n   */\n  children: _propTypes.default.node,\n\n  /**\n   * A convenience prop that enables or disables appear animations\n   * for all children. Note that specifying this will override any defaults set\n   * on individual children Transitions.\n   */\n  appear: _propTypes.default.bool,\n\n  /**\n   * A convenience prop that enables or disables enter animations\n   * for all children. Note that specifying this will override any defaults set\n   * on individual children Transitions.\n   */\n  enter: _propTypes.default.bool,\n\n  /**\n   * A convenience prop that enables or disables exit animations\n   * for all children. Note that specifying this will override any defaults set\n   * on individual children Transitions.\n   */\n  exit: _propTypes.default.bool,\n\n  /**\n   * You may need to apply reactive updates to a child as it is exiting.\n   * This is generally done by using `cloneElement` however in the case of an exiting\n   * child the element has already been removed and not accessible to the consumer.\n   *\n   * If you do need to update a child as it leaves you can provide a `childFactory`\n   * to wrap every child, even the ones that are leaving.\n   *\n   * @type Function(child: ReactElement) -> ReactElement\n   */\n  childFactory: _propTypes.default.func\n} : {};\nTransitionGroup.defaultProps = defaultProps;\n\nvar _default = (0, _reactLifecyclesCompat.polyfill)(TransitionGroup);\n\nexports.default = _default;\nmodule.exports = exports[\"default\"];","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar typedFunction = require('typed-function');\n\nvar digits = require('./../utils/number').digits;\n\nvar isBigNumber = require('./../utils/bignumber/isBigNumber');\n\nvar isMatrix = require('./../utils/collection/isMatrix'); // returns a new instance of typed-function\n\n\nvar _createTyped = function createTyped() {\n  // initially, return the original instance of typed-function\n  // consecutively, return a new instance from typed.create.\n  _createTyped = typedFunction.create;\n  return typedFunction;\n};\n/**\n * Factory function for creating a new typed instance\n * @param {Object} type   Object with data types like Complex and BigNumber\n * @returns {Function}\n */\n\n\nexports.create = function create(type) {\n  // TODO: typed-function must be able to silently ignore signatures with unknown data types\n  // type checks for all known types\n  //\n  // note that:\n  //\n  // - check by duck-typing on a property like `isUnit`, instead of checking instanceof.\n  //   instanceof cannot be used because that would not allow to pass data from\n  //   one instance of math.js to another since each has it's own instance of Unit.\n  // - check the `isUnit` property via the constructor, so there will be no\n  //   matches for \"fake\" instances like plain objects with a property `isUnit`.\n  //   That is important for security reasons.\n  // - It must not be possible to override the type checks used internally,\n  //   for security reasons, so these functions are not exposed in the expression\n  //   parser.\n  type.isNumber = function (x) {\n    return typeof x === 'number';\n  };\n\n  type.isComplex = function (x) {\n    return type.Complex && x instanceof type.Complex || false;\n  };\n\n  type.isBigNumber = isBigNumber;\n\n  type.isFraction = function (x) {\n    return type.Fraction && x instanceof type.Fraction || false;\n  };\n\n  type.isUnit = function (x) {\n    return x && x.constructor.prototype.isUnit || false;\n  };\n\n  type.isString = function (x) {\n    return typeof x === 'string';\n  };\n\n  type.isArray = Array.isArray;\n  type.isMatrix = isMatrix;\n\n  type.isDenseMatrix = function (x) {\n    return x && x.isDenseMatrix && x.constructor.prototype.isMatrix || false;\n  };\n\n  type.isSparseMatrix = function (x) {\n    return x && x.isSparseMatrix && x.constructor.prototype.isMatrix || false;\n  };\n\n  type.isRange = function (x) {\n    return x && x.constructor.prototype.isRange || false;\n  };\n\n  type.isIndex = function (x) {\n    return x && x.constructor.prototype.isIndex || false;\n  };\n\n  type.isBoolean = function (x) {\n    return typeof x === 'boolean';\n  };\n\n  type.isResultSet = function (x) {\n    return x && x.constructor.prototype.isResultSet || false;\n  };\n\n  type.isHelp = function (x) {\n    return x && x.constructor.prototype.isHelp || false;\n  };\n\n  type.isFunction = function (x) {\n    return typeof x === 'function';\n  };\n\n  type.isDate = function (x) {\n    return x instanceof Date;\n  };\n\n  type.isRegExp = function (x) {\n    return x instanceof RegExp;\n  };\n\n  type.isObject = function (x) {\n    return _typeof(x) === 'object' && x.constructor === Object && !type.isComplex(x) && !type.isFraction(x);\n  };\n\n  type.isNull = function (x) {\n    return x === null;\n  };\n\n  type.isUndefined = function (x) {\n    return x === undefined;\n  };\n\n  type.isAccessorNode = function (x) {\n    return x && x.isAccessorNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isArrayNode = function (x) {\n    return x && x.isArrayNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isAssignmentNode = function (x) {\n    return x && x.isAssignmentNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isBlockNode = function (x) {\n    return x && x.isBlockNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isConditionalNode = function (x) {\n    return x && x.isConditionalNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isConstantNode = function (x) {\n    return x && x.isConstantNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isFunctionAssignmentNode = function (x) {\n    return x && x.isFunctionAssignmentNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isFunctionNode = function (x) {\n    return x && x.isFunctionNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isIndexNode = function (x) {\n    return x && x.isIndexNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isNode = function (x) {\n    return x && x.isNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isObjectNode = function (x) {\n    return x && x.isObjectNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isOperatorNode = function (x) {\n    return x && x.isOperatorNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isParenthesisNode = function (x) {\n    return x && x.isParenthesisNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isRangeNode = function (x) {\n    return x && x.isRangeNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isSymbolNode = function (x) {\n    return x && x.isSymbolNode && x.constructor.prototype.isNode || false;\n  };\n\n  type.isChain = function (x) {\n    return x && x.constructor.prototype.isChain || false;\n  }; // get a new instance of typed-function\n\n\n  var typed = _createTyped(); // define all types. The order of the types determines in which order function\n  // arguments are type-checked (so for performance it's important to put the\n  // most used types first).\n\n\n  typed.types = [{\n    name: 'number',\n    test: type.isNumber\n  }, {\n    name: 'Complex',\n    test: type.isComplex\n  }, {\n    name: 'BigNumber',\n    test: type.isBigNumber\n  }, {\n    name: 'Fraction',\n    test: type.isFraction\n  }, {\n    name: 'Unit',\n    test: type.isUnit\n  }, {\n    name: 'string',\n    test: type.isString\n  }, {\n    name: 'Array',\n    test: type.isArray\n  }, {\n    name: 'Matrix',\n    test: type.isMatrix\n  }, {\n    name: 'DenseMatrix',\n    test: type.isDenseMatrix\n  }, {\n    name: 'SparseMatrix',\n    test: type.isSparseMatrix\n  }, {\n    name: 'Range',\n    test: type.isRange\n  }, {\n    name: 'Index',\n    test: type.isIndex\n  }, {\n    name: 'boolean',\n    test: type.isBoolean\n  }, {\n    name: 'ResultSet',\n    test: type.isResultSet\n  }, {\n    name: 'Help',\n    test: type.isHelp\n  }, {\n    name: 'function',\n    test: type.isFunction\n  }, {\n    name: 'Date',\n    test: type.isDate\n  }, {\n    name: 'RegExp',\n    test: type.isRegExp\n  }, {\n    name: 'null',\n    test: type.isNull\n  }, {\n    name: 'undefined',\n    test: type.isUndefined\n  }, {\n    name: 'OperatorNode',\n    test: type.isOperatorNode\n  }, {\n    name: 'ConstantNode',\n    test: type.isConstantNode\n  }, {\n    name: 'SymbolNode',\n    test: type.isSymbolNode\n  }, {\n    name: 'ParenthesisNode',\n    test: type.isParenthesisNode\n  }, {\n    name: 'FunctionNode',\n    test: type.isFunctionNode\n  }, {\n    name: 'FunctionAssignmentNode',\n    test: type.isFunctionAssignmentNode\n  }, {\n    name: 'ArrayNode',\n    test: type.isArrayNode\n  }, {\n    name: 'AssignmentNode',\n    test: type.isAssignmentNode\n  }, {\n    name: 'BlockNode',\n    test: type.isBlockNode\n  }, {\n    name: 'ConditionalNode',\n    test: type.isConditionalNode\n  }, {\n    name: 'IndexNode',\n    test: type.isIndexNode\n  }, {\n    name: 'RangeNode',\n    test: type.isRangeNode\n  }, {\n    name: 'Node',\n    test: type.isNode\n  }, {\n    name: 'Object',\n    test: type.isObject // order 'Object' last, it matches on other classes too\n\n  }]; // TODO: add conversion from BigNumber to number?\n\n  typed.conversions = [{\n    from: 'number',\n    to: 'BigNumber',\n    convert: function convert(x) {\n      // note: conversion from number to BigNumber can fail if x has >15 digits\n      if (digits(x) > 15) {\n        throw new TypeError('Cannot implicitly convert a number with >15 significant digits to BigNumber ' + '(value: ' + x + '). ' + 'Use function bignumber(x) to convert to BigNumber.');\n      }\n\n      return new type.BigNumber(x);\n    }\n  }, {\n    from: 'number',\n    to: 'Complex',\n    convert: function convert(x) {\n      return new type.Complex(x, 0);\n    }\n  }, {\n    from: 'number',\n    to: 'string',\n    convert: function convert(x) {\n      return x + '';\n    }\n  }, {\n    from: 'BigNumber',\n    to: 'Complex',\n    convert: function convert(x) {\n      return new type.Complex(x.toNumber(), 0);\n    }\n  }, {\n    from: 'Fraction',\n    to: 'BigNumber',\n    convert: function convert(x) {\n      throw new TypeError('Cannot implicitly convert a Fraction to BigNumber or vice versa. ' + 'Use function bignumber(x) to convert to BigNumber or fraction(x) to convert to Fraction.');\n    }\n  }, {\n    from: 'Fraction',\n    to: 'Complex',\n    convert: function convert(x) {\n      return new type.Complex(x.valueOf(), 0);\n    }\n  }, {\n    from: 'number',\n    to: 'Fraction',\n    convert: function convert(x) {\n      var f = new type.Fraction(x);\n\n      if (f.valueOf() !== x) {\n        throw new TypeError('Cannot implicitly convert a number to a Fraction when there will be a loss of precision ' + '(value: ' + x + '). ' + 'Use function fraction(x) to convert to Fraction.');\n      }\n\n      return new type.Fraction(x);\n    }\n  }, {\n    // FIXME: add conversion from Fraction to number, for example for `sqrt(fraction(1,3))`\n    //  from: 'Fraction',\n    //  to: 'number',\n    //  convert: function (x) {\n    //    return x.valueOf()\n    //  }\n    // }, {\n    from: 'string',\n    to: 'number',\n    convert: function convert(x) {\n      var n = Number(x);\n\n      if (isNaN(n)) {\n        throw new Error('Cannot convert \"' + x + '\" to a number');\n      }\n\n      return n;\n    }\n  }, {\n    from: 'string',\n    to: 'BigNumber',\n    convert: function convert(x) {\n      try {\n        return new type.BigNumber(x);\n      } catch (err) {\n        throw new Error('Cannot convert \"' + x + '\" to BigNumber');\n      }\n    }\n  }, {\n    from: 'string',\n    to: 'Fraction',\n    convert: function convert(x) {\n      try {\n        return new type.Fraction(x);\n      } catch (err) {\n        throw new Error('Cannot convert \"' + x + '\" to Fraction');\n      }\n    }\n  }, {\n    from: 'string',\n    to: 'Complex',\n    convert: function convert(x) {\n      try {\n        return new type.Complex(x);\n      } catch (err) {\n        throw new Error('Cannot convert \"' + x + '\" to Complex');\n      }\n    }\n  }, {\n    from: 'boolean',\n    to: 'number',\n    convert: function convert(x) {\n      return +x;\n    }\n  }, {\n    from: 'boolean',\n    to: 'BigNumber',\n    convert: function convert(x) {\n      return new type.BigNumber(+x);\n    }\n  }, {\n    from: 'boolean',\n    to: 'Fraction',\n    convert: function convert(x) {\n      return new type.Fraction(+x);\n    }\n  }, {\n    from: 'boolean',\n    to: 'string',\n    convert: function convert(x) {\n      return +x;\n    }\n  }, {\n    from: 'Array',\n    to: 'Matrix',\n    convert: function convert(array) {\n      return new type.DenseMatrix(array);\n    }\n  }, {\n    from: 'Matrix',\n    to: 'Array',\n    convert: function convert(matrix) {\n      return matrix.valueOf();\n    }\n  }];\n  return typed;\n};","'use strict';\n\nvar Emitter = require('tiny-emitter');\n/**\n * Extend given object with emitter functions `on`, `off`, `once`, `emit`\n * @param {Object} obj\n * @return {Object} obj\n */\n\n\nexports.mixin = function (obj) {\n  // create event emitter\n  var emitter = new Emitter(); // bind methods to obj (we don't want to expose the emitter.e Array...)\n\n  obj.on = emitter.on.bind(emitter);\n  obj.off = emitter.off.bind(emitter);\n  obj.once = emitter.once.bind(emitter);\n  obj.emit = emitter.emit.bind(emitter);\n  return obj;\n};","'use strict';\n\nvar deepMap = require('../../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create a BigNumber, which can store numbers with arbitrary precision.\n   * When a matrix is provided, all elements will be converted to BigNumber.\n   *\n   * Syntax:\n   *\n   *    math.bignumber(x)\n   *\n   * Examples:\n   *\n   *    0.1 + 0.2                                  // returns number 0.30000000000000004\n   *    math.bignumber(0.1) + math.bignumber(0.2)  // returns BigNumber 0.3\n   *\n   *\n   *    7.2e500                                    // returns number Infinity\n   *    math.bignumber('7.2e500')                  // returns BigNumber 7.2e500\n   *\n   * See also:\n   *\n   *    boolean, complex, index, matrix, string, unit\n   *\n   * @param {number | string | Fraction | BigNumber | Array | Matrix | boolean | null} [value]  Value for the big number,\n   *                                                    0 by default.\n   * @returns {BigNumber} The created bignumber\n   */\n  var bignumber = typed('bignumber', {\n    '': function _() {\n      return new type.BigNumber(0);\n    },\n    'number': function number(x) {\n      // convert to string to prevent errors in case of >15 digits\n      return new type.BigNumber(x + '');\n    },\n    'string': function string(x) {\n      return new type.BigNumber(x);\n    },\n    'BigNumber': function BigNumber(x) {\n      // we assume a BigNumber is immutable\n      return x;\n    },\n    'Fraction': function Fraction(x) {\n      return new type.BigNumber(x.n).div(x.d).times(x.s);\n    },\n    'null': function _null(x) {\n      return new type.BigNumber(0);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, bignumber);\n    }\n  });\n  bignumber.toTex = {\n    0: '0',\n    1: \"\\\\left(${args[0]}\\\\right)\"\n  };\n  return bignumber;\n}\n\nexports.name = 'bignumber';\nexports.factory = factory;","'use strict';\n\nvar number = require('../../utils/number');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create a range. A range has a start, step, and end, and contains functions\n   * to iterate over the range.\n   *\n   * A range can be constructed as:\n   *\n   *     const range = new Range(start, end)\n   *     const range = new Range(start, end, step)\n   *\n   * To get the result of the range:\n   *     range.forEach(function (x) {\n   *         console.log(x)\n   *     })\n   *     range.map(function (x) {\n   *         return math.sin(x)\n   *     })\n   *     range.toArray()\n   *\n   * Example usage:\n   *\n   *     const c = new Range(2, 6)       // 2:1:5\n   *     c.toArray()                     // [2, 3, 4, 5]\n   *     const d = new Range(2, -3, -1)  // 2:-1:-2\n   *     d.toArray()                     // [2, 1, 0, -1, -2]\n   *\n   * @class Range\n   * @constructor Range\n   * @param {number} start  included lower bound\n   * @param {number} end    excluded upper bound\n   * @param {number} [step] step size, default value is 1\n   */\n  function Range(start, end, step) {\n    if (!(this instanceof Range)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    var hasStart = start !== null && start !== undefined;\n    var hasEnd = end !== null && end !== undefined;\n    var hasStep = step !== null && step !== undefined;\n\n    if (hasStart) {\n      if (type.isBigNumber(start)) {\n        start = start.toNumber();\n      } else if (typeof start !== 'number') {\n        throw new TypeError('Parameter start must be a number');\n      }\n    }\n\n    if (hasEnd) {\n      if (type.isBigNumber(end)) {\n        end = end.toNumber();\n      } else if (typeof end !== 'number') {\n        throw new TypeError('Parameter end must be a number');\n      }\n    }\n\n    if (hasStep) {\n      if (type.isBigNumber(step)) {\n        step = step.toNumber();\n      } else if (typeof step !== 'number') {\n        throw new TypeError('Parameter step must be a number');\n      }\n    }\n\n    this.start = hasStart ? parseFloat(start) : 0;\n    this.end = hasEnd ? parseFloat(end) : 0;\n    this.step = hasStep ? parseFloat(step) : 1;\n  }\n  /**\n   * Attach type information\n   */\n\n\n  Range.prototype.type = 'Range';\n  Range.prototype.isRange = true;\n  /**\n   * Parse a string into a range,\n   * The string contains the start, optional step, and end, separated by a colon.\n   * If the string does not contain a valid range, null is returned.\n   * For example str='0:2:11'.\n   * @memberof Range\n   * @param {string} str\n   * @return {Range | null} range\n   */\n\n  Range.parse = function (str) {\n    if (typeof str !== 'string') {\n      return null;\n    }\n\n    var args = str.split(':');\n    var nums = args.map(function (arg) {\n      return parseFloat(arg);\n    });\n    var invalid = nums.some(function (num) {\n      return isNaN(num);\n    });\n\n    if (invalid) {\n      return null;\n    }\n\n    switch (nums.length) {\n      case 2:\n        return new Range(nums[0], nums[1]);\n\n      case 3:\n        return new Range(nums[0], nums[2], nums[1]);\n\n      default:\n        return null;\n    }\n  };\n  /**\n   * Create a clone of the range\n   * @return {Range} clone\n   */\n\n\n  Range.prototype.clone = function () {\n    return new Range(this.start, this.end, this.step);\n  };\n  /**\n   * Retrieve the size of the range.\n   * Returns an array containing one number, the number of elements in the range.\n   * @memberof Range\n   * @returns {number[]} size\n   */\n\n\n  Range.prototype.size = function () {\n    var len = 0;\n    var start = this.start;\n    var step = this.step;\n    var end = this.end;\n    var diff = end - start;\n\n    if (number.sign(step) === number.sign(diff)) {\n      len = Math.ceil(diff / step);\n    } else if (diff === 0) {\n      len = 0;\n    }\n\n    if (isNaN(len)) {\n      len = 0;\n    }\n\n    return [len];\n  };\n  /**\n   * Calculate the minimum value in the range\n   * @memberof Range\n   * @return {number | undefined} min\n   */\n\n\n  Range.prototype.min = function () {\n    var size = this.size()[0];\n\n    if (size > 0) {\n      if (this.step > 0) {\n        // positive step\n        return this.start;\n      } else {\n        // negative step\n        return this.start + (size - 1) * this.step;\n      }\n    } else {\n      return undefined;\n    }\n  };\n  /**\n   * Calculate the maximum value in the range\n   * @memberof Range\n   * @return {number | undefined} max\n   */\n\n\n  Range.prototype.max = function () {\n    var size = this.size()[0];\n\n    if (size > 0) {\n      if (this.step > 0) {\n        // positive step\n        return this.start + (size - 1) * this.step;\n      } else {\n        // negative step\n        return this.start;\n      }\n    } else {\n      return undefined;\n    }\n  };\n  /**\n   * Execute a callback function for each value in the range.\n   * @memberof Range\n   * @param {function} callback   The callback method is invoked with three\n   *                              parameters: the value of the element, the index\n   *                              of the element, and the Range being traversed.\n   */\n\n\n  Range.prototype.forEach = function (callback) {\n    var x = this.start;\n    var step = this.step;\n    var end = this.end;\n    var i = 0;\n\n    if (step > 0) {\n      while (x < end) {\n        callback(x, [i], this);\n        x += step;\n        i++;\n      }\n    } else if (step < 0) {\n      while (x > end) {\n        callback(x, [i], this);\n        x += step;\n        i++;\n      }\n    }\n  };\n  /**\n   * Execute a callback function for each value in the Range, and return the\n   * results as an array\n   * @memberof Range\n   * @param {function} callback   The callback method is invoked with three\n   *                              parameters: the value of the element, the index\n   *                              of the element, and the Matrix being traversed.\n   * @returns {Array} array\n   */\n\n\n  Range.prototype.map = function (callback) {\n    var array = [];\n    this.forEach(function (value, index, obj) {\n      array[index[0]] = callback(value, index, obj);\n    });\n    return array;\n  };\n  /**\n   * Create an Array with a copy of the Ranges data\n   * @memberof Range\n   * @returns {Array} array\n   */\n\n\n  Range.prototype.toArray = function () {\n    var array = [];\n    this.forEach(function (value, index) {\n      array[index[0]] = value;\n    });\n    return array;\n  };\n  /**\n   * Get the primitive value of the Range, a one dimensional array\n   * @memberof Range\n   * @returns {Array} array\n   */\n\n\n  Range.prototype.valueOf = function () {\n    // TODO: implement a caching mechanism for range.valueOf()\n    return this.toArray();\n  };\n  /**\n   * Get a string representation of the range, with optional formatting options.\n   * Output is formatted as 'start:step:end', for example '2:6' or '0:0.2:11'\n   * @memberof Range\n   * @param {Object | number | function} [options]  Formatting options. See\n   *                                                lib/utils/number:format for a\n   *                                                description of the available\n   *                                                options.\n   * @returns {string} str\n   */\n\n\n  Range.prototype.format = function (options) {\n    var str = number.format(this.start, options);\n\n    if (this.step !== 1) {\n      str += ':' + number.format(this.step, options);\n    }\n\n    str += ':' + number.format(this.end, options);\n    return str;\n  };\n  /**\n   * Get a string representation of the range.\n   * @memberof Range\n   * @returns {string}\n   */\n\n\n  Range.prototype.toString = function () {\n    return this.format();\n  };\n  /**\n   * Get a JSON representation of the range\n   * @memberof Range\n   * @returns {Object} Returns a JSON object structured as:\n   *                   `{\"mathjs\": \"Range\", \"start\": 2, \"end\": 4, \"step\": 1}`\n   */\n\n\n  Range.prototype.toJSON = function () {\n    return {\n      mathjs: 'Range',\n      start: this.start,\n      end: this.end,\n      step: this.step\n    };\n  };\n  /**\n   * Instantiate a Range from a JSON object\n   * @memberof Range\n   * @param {Object} json A JSON object structured as:\n   *                      `{\"mathjs\": \"Range\", \"start\": 2, \"end\": 4, \"step\": 1}`\n   * @return {Range}\n   */\n\n\n  Range.fromJSON = function (json) {\n    return new Range(json.start, json.end, json.step);\n  };\n\n  return Range;\n}\n\nexports.name = 'Range';\nexports.path = 'type';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  /**\n   * A ResultSet contains a list or results\n   * @class ResultSet\n   * @param {Array} entries\n   * @constructor ResultSet\n   */\n  function ResultSet(entries) {\n    if (!(this instanceof ResultSet)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    this.entries = entries || [];\n  }\n  /**\n   * Attach type information\n   */\n\n\n  ResultSet.prototype.type = 'ResultSet';\n  ResultSet.prototype.isResultSet = true;\n  /**\n   * Returns the array with results hold by this ResultSet\n   * @memberof ResultSet\n   * @returns {Array} entries\n   */\n\n  ResultSet.prototype.valueOf = function () {\n    return this.entries;\n  };\n  /**\n   * Returns the stringified results of the ResultSet\n   * @memberof ResultSet\n   * @returns {string} string\n   */\n\n\n  ResultSet.prototype.toString = function () {\n    return '[' + this.entries.join(', ') + ']';\n  };\n  /**\n   * Get a JSON representation of the ResultSet\n   * @memberof ResultSet\n   * @returns {Object} Returns a JSON object structured as:\n   *                   `{\"mathjs\": \"ResultSet\", \"entries\": [...]}`\n   */\n\n\n  ResultSet.prototype.toJSON = function () {\n    return {\n      mathjs: 'ResultSet',\n      entries: this.entries\n    };\n  };\n  /**\n   * Instantiate a ResultSet from a JSON object\n   * @memberof ResultSet\n   * @param {Object} json  A JSON object structured as:\n   *                       `{\"mathjs\": \"ResultSet\", \"entries\": [...]}`\n   * @return {ResultSet}\n   */\n\n\n  ResultSet.fromJSON = function (json) {\n    return new ResultSet(json.entries);\n  };\n\n  return ResultSet;\n}\n\nexports.name = 'ResultSet';\nexports.path = 'type';\nexports.factory = factory;","'use strict';\n\nvar memoize = require('../function').memoize;\n/**\n * Calculate BigNumber e\n * @param {function} BigNumber   BigNumber constructor\n * @returns {BigNumber} Returns e\n */\n\n\nexports.e = memoize(function (BigNumber) {\n  return new BigNumber(1).exp();\n}, hasher);\n/**\n * Calculate BigNumber golden ratio, phi = (1+sqrt(5))/2\n * @param {function} BigNumber   BigNumber constructor\n * @returns {BigNumber} Returns phi\n */\n\nexports.phi = memoize(function (BigNumber) {\n  return new BigNumber(1).plus(new BigNumber(5).sqrt()).div(2);\n}, hasher);\n/**\n * Calculate BigNumber pi.\n * @param {function} BigNumber   BigNumber constructor\n * @returns {BigNumber} Returns pi\n */\n\nexports.pi = memoize(function (BigNumber) {\n  return BigNumber.acos(-1);\n}, hasher);\n/**\n * Calculate BigNumber tau, tau = 2 * pi\n * @param {function} BigNumber   BigNumber constructor\n * @returns {BigNumber} Returns tau\n */\n\nexports.tau = memoize(function (BigNumber) {\n  return exports.pi(BigNumber).times(2);\n}, hasher);\n/**\n * Create a hash for a BigNumber constructor function. The created has is\n * the configured precision\n * @param {Array} args         Supposed to contain a single entry with\n *                             a BigNumber constructor\n * @return {number} precision\n * @private\n */\n\nfunction hasher(args) {\n  return args[0].precision;\n}","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Round a value towards zero.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.fix(x)\n   *\n   * Examples:\n   *\n   *    math.fix(3.2)                // returns number 3\n   *    math.fix(3.8)                // returns number 3\n   *    math.fix(-4.2)               // returns number -4\n   *    math.fix(-4.7)               // returns number -4\n   *\n   *    const c = math.complex(3.2, -2.7)\n   *    math.fix(c)                  // returns Complex 3 - 2i\n   *\n   *    math.fix([3.2, 3.8, -4.7])   // returns Array [3, 3, -4]\n   *\n   * See also:\n   *\n   *    ceil, floor, round\n   *\n   * @param {number | BigNumber | Fraction | Complex | Array | Matrix} x Number to be rounded\n   * @return {number | BigNumber | Fraction | Complex | Array | Matrix}            Rounded value\n   */\n  var fix = typed('fix', {\n    'number': function number(x) {\n      return x > 0 ? Math.floor(x) : Math.ceil(x);\n    },\n    'Complex': function Complex(x) {\n      return new type.Complex(x.re > 0 ? Math.floor(x.re) : Math.ceil(x.re), x.im > 0 ? Math.floor(x.im) : Math.ceil(x.im));\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.isNegative() ? x.ceil() : x.floor();\n    },\n    'Fraction': function Fraction(x) {\n      return x.s < 0 ? x.ceil() : x.floor();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since fix(0) = 0\n      return deepMap(x, fix, true);\n    }\n  });\n  fix.toTex = {\n    1: \"\\\\mathrm{${name}}\\\\left(${args[0]}\\\\right)\"\n  };\n  return fix;\n}\n\nexports.name = 'fix';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar toFixed = require('../../utils/number').toFixed;\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nvar NO_INT = 'Number of decimals in function round must be an integer';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var equalScalar = load(require('../relational/equalScalar'));\n  var zeros = load(require('../matrix/zeros'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Round a value towards the nearest integer.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.round(x)\n   *    math.round(x, n)\n   *\n   * Examples:\n   *\n   *    math.round(3.2)              // returns number 3\n   *    math.round(3.8)              // returns number 4\n   *    math.round(-4.2)             // returns number -4\n   *    math.round(-4.7)             // returns number -5\n   *    math.round(math.pi, 3)       // returns number 3.142\n   *    math.round(123.45678, 2)     // returns number 123.46\n   *\n   *    const c = math.complex(3.2, -2.7)\n   *    math.round(c)                // returns Complex 3 - 3i\n   *\n   *    math.round([3.2, 3.8, -4.7]) // returns Array [3, 4, -5]\n   *\n   * See also:\n   *\n   *    ceil, fix, floor\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Array | Matrix} x  Number to be rounded\n   * @param  {number | BigNumber | Array} [n=0]                            Number of decimals\n   * @return {number | BigNumber | Fraction | Complex | Array | Matrix} Rounded value\n   */\n\n  var round = typed('round', {\n    'number': Math.round,\n    'number, number': function numberNumber(x, n) {\n      if (!isInteger(n)) {\n        throw new TypeError(NO_INT);\n      }\n\n      if (n < 0 || n > 15) {\n        throw new Error('Number of decimals in function round must be in te range of 0-15');\n      }\n\n      return _round(x, n);\n    },\n    'Complex': function Complex(x) {\n      return x.round();\n    },\n    'Complex, number': function ComplexNumber(x, n) {\n      if (n % 1) {\n        throw new TypeError(NO_INT);\n      }\n\n      return x.round(n);\n    },\n    'Complex, BigNumber': function ComplexBigNumber(x, n) {\n      if (!n.isInteger()) {\n        throw new TypeError(NO_INT);\n      }\n\n      var _n = n.toNumber();\n\n      return x.round(_n);\n    },\n    'number, BigNumber': function numberBigNumber(x, n) {\n      if (!n.isInteger()) {\n        throw new TypeError(NO_INT);\n      }\n\n      return new type.BigNumber(x).toDecimalPlaces(n.toNumber());\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.toDecimalPlaces(0);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, n) {\n      if (!n.isInteger()) {\n        throw new TypeError(NO_INT);\n      }\n\n      return x.toDecimalPlaces(n.toNumber());\n    },\n    'Fraction': function Fraction(x) {\n      return x.round();\n    },\n    'Fraction, number': function FractionNumber(x, n) {\n      if (n % 1) {\n        throw new TypeError(NO_INT);\n      }\n\n      return x.round(n);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since round(0) = 0\n      return deepMap(x, round, true);\n    },\n    'SparseMatrix, number | BigNumber': function SparseMatrixNumberBigNumber(x, y) {\n      return algorithm11(x, y, round, false);\n    },\n    'DenseMatrix, number | BigNumber': function DenseMatrixNumberBigNumber(x, y) {\n      return algorithm14(x, y, round, false);\n    },\n    'number | Complex | BigNumber, SparseMatrix': function numberComplexBigNumberSparseMatrix(x, y) {\n      // check scalar is zero\n      if (equalScalar(x, 0)) {\n        // do not execute algorithm, result will be a zero matrix\n        return zeros(y.size(), y.storage());\n      }\n\n      return algorithm12(y, x, round, true);\n    },\n    'number | Complex | BigNumber, DenseMatrix': function numberComplexBigNumberDenseMatrix(x, y) {\n      // check scalar is zero\n      if (equalScalar(x, 0)) {\n        // do not execute algorithm, result will be a zero matrix\n        return zeros(y.size(), y.storage());\n      }\n\n      return algorithm14(y, x, round, true);\n    },\n    'Array, number | BigNumber': function ArrayNumberBigNumber(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, round, false).valueOf();\n    },\n    'number | Complex | BigNumber, Array': function numberComplexBigNumberArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, round, true).valueOf();\n    }\n  });\n  round.toTex = {\n    1: \"\\\\left\\\\lfloor${args[0]}\\\\right\\\\rceil\",\n    2: undefined // use default template\n\n  };\n  return round;\n}\n/**\n * round a number to the given number of decimals, or to zero if decimals is\n * not provided\n * @param {number} value\n * @param {number} decimals       number of decimals, between 0 and 15 (0 by default)\n * @return {number} roundedValue\n * @private\n */\n\n\nfunction _round(value, decimals) {\n  return parseFloat(toFixed(value, decimals));\n}\n\nexports.name = 'round';\nexports.factory = factory;","'use strict';\n\nvar string = require('../../utils/string');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Format a value of any type into a string.\n   *\n   * Syntax:\n   *\n   *    math.format(value)\n   *    math.format(value, options)\n   *    math.format(value, precision)\n   *    math.format(value, callback)\n   *\n   * Where:\n   *\n   *  - `value: *`\n   *    The value to be formatted\n   *  - `options: Object`\n   *    An object with formatting options. Available options:\n   *    - `notation: string`\n   *      Number notation. Choose from:\n   *      - 'fixed'\n   *        Always use regular number notation.\n   *        For example '123.40' and '14000000'\n   *      - 'exponential'\n   *        Always use exponential notation.\n   *        For example '1.234e+2' and '1.4e+7'\n   *      - 'engineering'\n   *        Always use engineering notation.\n   *        For example '123.4e+0' and '14.0e+6'\n   *      - 'auto' (default)\n   *        Regular number notation for numbers having an absolute value between\n   *        `lower` and `upper` bounds, and uses exponential notation elsewhere.\n   *        Lower bound is included, upper bound is excluded.\n   *        For example '123.4' and '1.4e7'.\n   *    - `precision: number`\n   *      A number between 0 and 16 to round the digits of the number. In case\n   *      of notations 'exponential', 'engineering', and 'auto', `precision`\n   *      defines the total number of significant digits returned.\n   *      In case of notation 'fixed', `precision` defines the number of\n   *      significant digits after the decimal point.\n   *      `precision` is undefined by default.\n   *    - `lowerExp: number`\n   *      Exponent determining the lower boundary for formatting a value with\n   *      an exponent when `notation='auto`. Default value is `-3`.\n   *    - `upperExp: number`\n   *      Exponent determining the upper boundary for formatting a value with\n   *      an exponent when `notation='auto`. Default value is `5`.\n   *    - `fraction: string`. Available values: 'ratio' (default) or 'decimal'.\n   *      For example `format(fraction(1, 3))` will output '1/3' when 'ratio' is\n   *      configured, and will output `0.(3)` when 'decimal' is configured.\n   * - `callback: function`\n   *   A custom formatting function, invoked for all numeric elements in `value`,\n   *   for example all elements of a matrix, or the real and imaginary\n   *   parts of a complex number. This callback can be used to override the\n   *   built-in numeric notation with any type of formatting. Function `callback`\n   *   is called with `value` as parameter and must return a string.\n   *\n   * When `value` is an Object:\n   *\n   * - When the object contains a property `format` being a function, this function\n   *   is invoked as `value.format(options)` and the result is returned.\n   * - When the object has its own `toString` method, this method is invoked\n   *   and the result is returned.\n   * - In other cases the function will loop over all object properties and\n   *   return JSON object notation like '{\"a\": 2, \"b\": 3}'.\n   *\n   * When value is a function:\n   *\n   * - When the function has a property `syntax`, it returns this\n   *   syntax description.\n   * - In other cases, a string `'function'` is returned.\n   *\n   * Examples:\n   *\n   *    math.format(6.4)                                        // returns '6.4'\n   *    math.format(1240000)                                    // returns '1.24e6'\n   *    math.format(1/3)                                        // returns '0.3333333333333333'\n   *    math.format(1/3, 3)                                     // returns '0.333'\n   *    math.format(21385, 2)                                   // returns '21000'\n   *    math.format(12e8, {notation: 'fixed'})                  // returns '1200000000'\n   *    math.format(2.3,  {notation: 'fixed', precision: 4})    // returns '2.3000'\n   *    math.format(52.8, {notation: 'exponential'})            // returns '5.28e+1'\n   *    math.format(12400,{notation: 'engineering'})            // returns '12.400e+3'\n   *    math.format(2000, {lowerExp: -2, upperExp: 2})          // returns '2e+3'\n   *\n   *    function formatCurrency(value) {\n   *      // return currency notation with two digits:\n   *      return '$' + value.toFixed(2)\n   *\n   *      // you could also use math.format inside the callback:\n   *      // return '$' + math.format(value, {notation: 'fixed', precision: 2})\n   *    }\n   *    math.format([2.1, 3, 0.016], formatCurrency}            // returns '[$2.10, $3.00, $0.02]'\n   *\n   * See also:\n   *\n   *    print\n   *\n   * @param {*} value                               Value to be stringified\n   * @param {Object | Function | number} [options]  Formatting options\n   * @return {string} The formatted value\n   */\n  var format = typed('format', {\n    'any': string.format,\n    'any, Object | function | number': string.format\n  });\n  format.toTex = undefined; // use default template\n\n  return format;\n}\n\nexports.name = 'format';\nexports.factory = factory;","'use strict';\n\nvar getSafeProperty = require('../../utils/customs').getSafeProperty;\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  var access = load(require('./utils/access'));\n  /**\n   * @constructor AccessorNode\n   * @extends {Node}\n   * Access an object property or get a matrix subset\n   *\n   * @param {Node} object                 The object from which to retrieve\n   *                                      a property or subset.\n   * @param {IndexNode} index             IndexNode containing ranges\n   */\n\n  function AccessorNode(object, index) {\n    if (!(this instanceof AccessorNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    if (!type.isNode(object)) {\n      throw new TypeError('Node expected for parameter \"object\"');\n    }\n\n    if (!type.isIndexNode(index)) {\n      throw new TypeError('IndexNode expected for parameter \"index\"');\n    }\n\n    this.object = object || null;\n    this.index = index; // readonly property name\n\n    Object.defineProperty(this, 'name', {\n      get: function () {\n        if (this.index) {\n          return this.index.isObjectProperty() ? this.index.getObjectProperty() : '';\n        } else {\n          return this.object.name || '';\n        }\n      }.bind(this),\n      set: function set() {\n        throw new Error('Cannot assign a new name, name is read-only');\n      }\n    });\n  }\n\n  AccessorNode.prototype = new Node();\n  AccessorNode.prototype.type = 'AccessorNode';\n  AccessorNode.prototype.isAccessorNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  AccessorNode.prototype._compile = function (math, argNames) {\n    var evalObject = this.object._compile(math, argNames);\n\n    var evalIndex = this.index._compile(math, argNames);\n\n    if (this.index.isObjectProperty()) {\n      var prop = this.index.getObjectProperty();\n      return function evalAccessorNode(scope, args, context) {\n        return getSafeProperty(evalObject(scope, args, context), prop);\n      };\n    } else {\n      return function evalAccessorNode(scope, args, context) {\n        var object = evalObject(scope, args, context);\n        var index = evalIndex(scope, args, object); // we pass object here instead of context\n\n        return access(object, index);\n      };\n    }\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  AccessorNode.prototype.forEach = function (callback) {\n    callback(this.object, 'object', this);\n    callback(this.index, 'index', this);\n  };\n  /**\n   * Create a new AccessorNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {AccessorNode} Returns a transformed copy of the node\n   */\n\n\n  AccessorNode.prototype.map = function (callback) {\n    return new AccessorNode(this._ifNode(callback(this.object, 'object', this)), this._ifNode(callback(this.index, 'index', this)));\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {AccessorNode}\n   */\n\n\n  AccessorNode.prototype.clone = function () {\n    return new AccessorNode(this.object, this.index);\n  };\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string}\n   */\n\n\n  AccessorNode.prototype._toString = function (options) {\n    var object = this.object.toString(options);\n\n    if (needParenthesis(this.object)) {\n      object = '(' + object + ')';\n    }\n\n    return object + this.index.toString(options);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string}\n   */\n\n\n  AccessorNode.prototype.toHTML = function (options) {\n    var object = this.object.toHTML(options);\n\n    if (needParenthesis(this.object)) {\n      object = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + object + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n    }\n\n    return object + this.index.toHTML(options);\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string}\n   */\n\n\n  AccessorNode.prototype._toTex = function (options) {\n    var object = this.object.toTex(options);\n\n    if (needParenthesis(this.object)) {\n      object = \"\\\\left(' + object + '\\\\right)\";\n    }\n\n    return object + this.index.toTex(options);\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  AccessorNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'AccessorNode',\n      object: this.object,\n      index: this.index\n    };\n  };\n  /**\n   * Instantiate an AccessorNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"AccessorNode\", object: ..., index: ...}`,\n   *                       where mathjs is optional\n   * @returns {AccessorNode}\n   */\n\n\n  AccessorNode.fromJSON = function (json) {\n    return new AccessorNode(json.object, json.index);\n  };\n  /**\n   * Are parenthesis needed?\n   * @private\n   */\n\n\n  function needParenthesis(node) {\n    // TODO: maybe make a method on the nodes which tells whether they need parenthesis?\n    return !(type.isAccessorNode(node) || type.isArrayNode(node) || type.isConstantNode(node) || type.isFunctionNode(node) || type.isObjectNode(node) || type.isParenthesisNode(node) || type.isSymbolNode(node));\n  }\n\n  return AccessorNode;\n}\n\nexports.name = 'AccessorNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict'; // Reserved keywords not allowed to use in the parser\n\nmodule.exports = {\n  end: true\n};","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar errorTransform = require('../../transform/error.transform').transform;\n\nvar getSafeProperty = require('../../../utils/customs').getSafeProperty;\n\nfunction factory(type, config, load, typed) {\n  var subset = load(require('../../../function/matrix/subset'));\n  /**\n   * Retrieve part of an object:\n   *\n   * - Retrieve a property from an object\n   * - Retrieve a part of a string\n   * - Retrieve a matrix subset\n   *\n   * @param {Object | Array | Matrix | string} object\n   * @param {Index} index\n   * @return {Object | Array | Matrix | string} Returns the subset\n   */\n\n  return function access(object, index) {\n    try {\n      if (Array.isArray(object)) {\n        return subset(object, index);\n      } else if (object && typeof object.subset === 'function') {\n        // Matrix\n        return object.subset(index);\n      } else if (typeof object === 'string') {\n        // TODO: move getStringSubset into a separate util file, use that\n        return subset(object, index);\n      } else if (_typeof(object) === 'object') {\n        if (!index.isObjectProperty()) {\n          throw new TypeError('Cannot apply a numeric index as object property');\n        }\n\n        return getSafeProperty(object, index.getObjectProperty());\n      } else {\n        throw new TypeError('Cannot apply index: unsupported type of object');\n      }\n    } catch (err) {\n      throw errorTransform(err);\n    }\n  };\n}\n\nexports.factory = factory;","'use strict';\n\nvar map = require('../../utils/array').map;\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  /**\n   * @constructor ArrayNode\n   * @extends {Node}\n   * Holds an 1-dimensional array with items\n   * @param {Node[]} [items]   1 dimensional array with items\n   */\n\n  function ArrayNode(items) {\n    if (!(this instanceof ArrayNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    this.items = items || []; // validate input\n\n    if (!Array.isArray(this.items) || !this.items.every(type.isNode)) {\n      throw new TypeError('Array containing Nodes expected');\n    } // TODO: deprecated since v3, remove some day\n\n\n    var deprecated = function deprecated() {\n      throw new Error('Property `ArrayNode.nodes` is deprecated, use `ArrayNode.items` instead');\n    };\n\n    Object.defineProperty(this, 'nodes', {\n      get: deprecated,\n      set: deprecated\n    });\n  }\n\n  ArrayNode.prototype = new Node();\n  ArrayNode.prototype.type = 'ArrayNode';\n  ArrayNode.prototype.isArrayNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  ArrayNode.prototype._compile = function (math, argNames) {\n    var evalItems = map(this.items, function (item) {\n      return item._compile(math, argNames);\n    });\n    var asMatrix = math.config().matrix !== 'Array';\n\n    if (asMatrix) {\n      var matrix = math.matrix;\n      return function evalArrayNode(scope, args, context) {\n        return matrix(map(evalItems, function (evalItem) {\n          return evalItem(scope, args, context);\n        }));\n      };\n    } else {\n      return function evalArrayNode(scope, args, context) {\n        return map(evalItems, function (evalItem) {\n          return evalItem(scope, args, context);\n        });\n      };\n    }\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  ArrayNode.prototype.forEach = function (callback) {\n    for (var i = 0; i < this.items.length; i++) {\n      var node = this.items[i];\n      callback(node, 'items[' + i + ']', this);\n    }\n  };\n  /**\n   * Create a new ArrayNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {ArrayNode} Returns a transformed copy of the node\n   */\n\n\n  ArrayNode.prototype.map = function (callback) {\n    var items = [];\n\n    for (var i = 0; i < this.items.length; i++) {\n      items[i] = this._ifNode(callback(this.items[i], 'items[' + i + ']', this));\n    }\n\n    return new ArrayNode(items);\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {ArrayNode}\n   */\n\n\n  ArrayNode.prototype.clone = function () {\n    return new ArrayNode(this.items.slice(0));\n  };\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  ArrayNode.prototype._toString = function (options) {\n    var items = this.items.map(function (node) {\n      return node.toString(options);\n    });\n    return '[' + items.join(', ') + ']';\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  ArrayNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'ArrayNode',\n      items: this.items\n    };\n  };\n  /**\n   * Instantiate an ArrayNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"ArrayNode\", items: [...]}`,\n   *                       where mathjs is optional\n   * @returns {ArrayNode}\n   */\n\n\n  ArrayNode.fromJSON = function (json) {\n    return new ArrayNode(json.items);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  ArrayNode.prototype.toHTML = function (options) {\n    var items = this.items.map(function (node) {\n      return node.toHTML(options);\n    });\n    return '<span class=\"math-parenthesis math-square-parenthesis\">[</span>' + items.join('<span class=\"math-separator\">,</span>') + '<span class=\"math-parenthesis math-square-parenthesis\">]</span>';\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  ArrayNode.prototype._toTex = function (options) {\n    var s = '\\\\begin{bmatrix}';\n    this.items.forEach(function (node) {\n      if (node.items) {\n        s += node.items.map(function (childNode) {\n          return childNode.toTex(options);\n        }).join('&');\n      } else {\n        s += node.toTex(options);\n      } // new line\n\n\n      s += '\\\\\\\\';\n    });\n    s += '\\\\end{bmatrix}';\n    return s;\n  };\n\n  return ArrayNode;\n}\n\nexports.name = 'ArrayNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nvar getSafeProperty = require('../../utils/customs').getSafeProperty;\n\nvar setSafeProperty = require('../../utils/customs').setSafeProperty;\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  var assign = load(require('./utils/assign'));\n  var access = load(require('./utils/access'));\n\n  var operators = require('../operators');\n  /**\n   * @constructor AssignmentNode\n   * @extends {Node}\n   *\n   * Define a symbol, like `a=3.2`, update a property like `a.b=3.2`, or\n   * replace a subset of a matrix like `A[2,2]=42`.\n   *\n   * Syntax:\n   *\n   *     new AssignmentNode(symbol, value)\n   *     new AssignmentNode(object, index, value)\n   *\n   * Usage:\n   *\n   *    new AssignmentNode(new SymbolNode('a'), new ConstantNode(2))                       // a=2\n   *    new AssignmentNode(new SymbolNode('a'), new IndexNode('b'), new ConstantNode(2))   // a.b=2\n   *    new AssignmentNode(new SymbolNode('a'), new IndexNode(1, 2), new ConstantNode(3))  // a[1,2]=3\n   *\n   * @param {SymbolNode | AccessorNode} object  Object on which to assign a value\n   * @param {IndexNode} [index=null]            Index, property name or matrix\n   *                                            index. Optional. If not provided\n   *                                            and `object` is a SymbolNode,\n   *                                            the property is assigned to the\n   *                                            global scope.\n   * @param {Node} value                        The value to be assigned\n   */\n\n\n  function AssignmentNode(object, index, value) {\n    if (!(this instanceof AssignmentNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    this.object = object;\n    this.index = value ? index : null;\n    this.value = value || index; // validate input\n\n    if (!type.isSymbolNode(object) && !type.isAccessorNode(object)) {\n      throw new TypeError('SymbolNode or AccessorNode expected as \"object\"');\n    }\n\n    if (type.isSymbolNode(object) && object.name === 'end') {\n      throw new Error('Cannot assign to symbol \"end\"');\n    }\n\n    if (this.index && !type.isIndexNode(this.index)) {\n      // index is optional\n      throw new TypeError('IndexNode expected as \"index\"');\n    }\n\n    if (!type.isNode(this.value)) {\n      throw new TypeError('Node expected as \"value\"');\n    } // readonly property name\n\n\n    Object.defineProperty(this, 'name', {\n      get: function () {\n        if (this.index) {\n          return this.index.isObjectProperty() ? this.index.getObjectProperty() : '';\n        } else {\n          return this.object.name || '';\n        }\n      }.bind(this),\n      set: function set() {\n        throw new Error('Cannot assign a new name, name is read-only');\n      }\n    });\n  }\n\n  AssignmentNode.prototype = new Node();\n  AssignmentNode.prototype.type = 'AssignmentNode';\n  AssignmentNode.prototype.isAssignmentNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  AssignmentNode.prototype._compile = function (math, argNames) {\n    var evalObject = this.object._compile(math, argNames);\n\n    var evalIndex = this.index ? this.index._compile(math, argNames) : null;\n\n    var evalValue = this.value._compile(math, argNames);\n\n    var name = this.object.name;\n\n    if (!this.index) {\n      // apply a variable to the scope, for example `a=2`\n      if (!type.isSymbolNode(this.object)) {\n        throw new TypeError('SymbolNode expected as object');\n      }\n\n      return function evalAssignmentNode(scope, args, context) {\n        return setSafeProperty(scope, name, evalValue(scope, args, context));\n      };\n    } else if (this.index.isObjectProperty()) {\n      // apply an object property for example `a.b=2`\n      var prop = this.index.getObjectProperty();\n      return function evalAssignmentNode(scope, args, context) {\n        var object = evalObject(scope, args, context);\n        var value = evalValue(scope, args, context);\n        return setSafeProperty(object, prop, value);\n      };\n    } else if (type.isSymbolNode(this.object)) {\n      // update a matrix subset, for example `a[2]=3`\n      return function evalAssignmentNode(scope, args, context) {\n        var childObject = evalObject(scope, args, context);\n        var value = evalValue(scope, args, context);\n        var index = evalIndex(scope, args, childObject); // Important:  we pass childObject instead of context\n\n        setSafeProperty(scope, name, assign(childObject, index, value));\n        return value;\n      };\n    } else {\n      // type.isAccessorNode(node.object) === true\n      // update a matrix subset, for example `a.b[2]=3`\n      // we will not use the compile function of the AccessorNode, but compile it\n      // ourselves here as we need the parent object of the AccessorNode:\n      // wee need to apply the updated object to parent object\n      var evalParentObject = this.object.object._compile(math, argNames);\n\n      if (this.object.index.isObjectProperty()) {\n        var parentProp = this.object.index.getObjectProperty();\n        return function evalAssignmentNode(scope, args, context) {\n          var parent = evalParentObject(scope, args, context);\n          var childObject = getSafeProperty(parent, parentProp);\n          var index = evalIndex(scope, args, childObject); // Important: we pass childObject instead of context\n\n          var value = evalValue(scope, args, context);\n          setSafeProperty(parent, parentProp, assign(childObject, index, value));\n          return value;\n        };\n      } else {\n        // if some parameters use the 'end' parameter, we need to calculate the size\n        var evalParentIndex = this.object.index._compile(math, argNames);\n\n        return function evalAssignmentNode(scope, args, context) {\n          var parent = evalParentObject(scope, args, context);\n          var parentIndex = evalParentIndex(scope, args, parent); // Important: we pass parent instead of context\n\n          var childObject = access(parent, parentIndex);\n          var index = evalIndex(scope, args, childObject); // Important:  we pass childObject instead of context\n\n          var value = evalValue(scope, args, context);\n          assign(parent, parentIndex, assign(childObject, index, value));\n          return value;\n        };\n      }\n    }\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  AssignmentNode.prototype.forEach = function (callback) {\n    callback(this.object, 'object', this);\n\n    if (this.index) {\n      callback(this.index, 'index', this);\n    }\n\n    callback(this.value, 'value', this);\n  };\n  /**\n   * Create a new AssignmentNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {AssignmentNode} Returns a transformed copy of the node\n   */\n\n\n  AssignmentNode.prototype.map = function (callback) {\n    var object = this._ifNode(callback(this.object, 'object', this));\n\n    var index = this.index ? this._ifNode(callback(this.index, 'index', this)) : null;\n\n    var value = this._ifNode(callback(this.value, 'value', this));\n\n    return new AssignmentNode(object, index, value);\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {AssignmentNode}\n   */\n\n\n  AssignmentNode.prototype.clone = function () {\n    return new AssignmentNode(this.object, this.index, this.value);\n  };\n  /*\n   * Is parenthesis needed?\n   * @param {node} node\n   * @param {string} [parenthesis='keep']\n   * @private\n   */\n\n\n  function needParenthesis(node, parenthesis) {\n    if (!parenthesis) {\n      parenthesis = 'keep';\n    }\n\n    var precedence = operators.getPrecedence(node, parenthesis);\n    var exprPrecedence = operators.getPrecedence(node.value, parenthesis);\n    return parenthesis === 'all' || exprPrecedence !== null && exprPrecedence <= precedence;\n  }\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string}\n   */\n\n\n  AssignmentNode.prototype._toString = function (options) {\n    var object = this.object.toString(options);\n    var index = this.index ? this.index.toString(options) : '';\n    var value = this.value.toString(options);\n\n    if (needParenthesis(this, options && options.parenthesis)) {\n      value = '(' + value + ')';\n    }\n\n    return object + index + ' = ' + value;\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  AssignmentNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'AssignmentNode',\n      object: this.object,\n      index: this.index,\n      value: this.value\n    };\n  };\n  /**\n   * Instantiate an AssignmentNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"AssignmentNode\", object: ..., index: ..., value: ...}`,\n   *                       where mathjs is optional\n   * @returns {AssignmentNode}\n   */\n\n\n  AssignmentNode.fromJSON = function (json) {\n    return new AssignmentNode(json.object, json.index, json.value);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string}\n   */\n\n\n  AssignmentNode.prototype.toHTML = function (options) {\n    var object = this.object.toHTML(options);\n    var index = this.index ? this.index.toHTML(options) : '';\n    var value = this.value.toHTML(options);\n\n    if (needParenthesis(this, options && options.parenthesis)) {\n      value = '<span class=\"math-paranthesis math-round-parenthesis\">(</span>' + value + '<span class=\"math-paranthesis math-round-parenthesis\">)</span>';\n    }\n\n    return object + index + '<span class=\"math-operator math-assignment-operator math-variable-assignment-operator math-binary-operator\">=</span>' + value;\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string}\n   */\n\n\n  AssignmentNode.prototype._toTex = function (options) {\n    var object = this.object.toTex(options);\n    var index = this.index ? this.index.toTex(options) : '';\n    var value = this.value.toTex(options);\n\n    if (needParenthesis(this, options && options.parenthesis)) {\n      value = \"\\\\left(\".concat(value, \"\\\\right)\");\n    }\n\n    return object + index + ':=' + value;\n  };\n\n  return AssignmentNode;\n}\n\nexports.name = 'AssignmentNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nvar forEach = require('../../utils/array').forEach;\n\nvar map = require('../../utils/array').map;\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  var ResultSet = load(require('../../type/resultset/ResultSet'));\n  /**\n   * @constructor BlockNode\n   * @extends {Node}\n   * Holds a set with blocks\n   * @param {Array.<{node: Node} | {node: Node, visible: boolean}>} blocks\n   *            An array with blocks, where a block is constructed as an Object\n   *            with properties block, which is a Node, and visible, which is\n   *            a boolean. The property visible is optional and is true by default\n   */\n\n  function BlockNode(blocks) {\n    if (!(this instanceof BlockNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    } // validate input, copy blocks\n\n\n    if (!Array.isArray(blocks)) throw new Error('Array expected');\n    this.blocks = blocks.map(function (block) {\n      var node = block && block.node;\n      var visible = block && block.visible !== undefined ? block.visible : true;\n      if (!type.isNode(node)) throw new TypeError('Property \"node\" must be a Node');\n      if (typeof visible !== 'boolean') throw new TypeError('Property \"visible\" must be a boolean');\n      return {\n        node: node,\n        visible: visible\n      };\n    });\n  }\n\n  BlockNode.prototype = new Node();\n  BlockNode.prototype.type = 'BlockNode';\n  BlockNode.prototype.isBlockNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  BlockNode.prototype._compile = function (math, argNames) {\n    var evalBlocks = map(this.blocks, function (block) {\n      return {\n        eval: block.node._compile(math, argNames),\n        visible: block.visible\n      };\n    });\n    return function evalBlockNodes(scope, args, context) {\n      var results = [];\n      forEach(evalBlocks, function evalBlockNode(block) {\n        var result = block.eval(scope, args, context);\n\n        if (block.visible) {\n          results.push(result);\n        }\n      });\n      return new ResultSet(results);\n    };\n  };\n  /**\n   * Execute a callback for each of the child blocks of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  BlockNode.prototype.forEach = function (callback) {\n    for (var i = 0; i < this.blocks.length; i++) {\n      callback(this.blocks[i].node, 'blocks[' + i + '].node', this);\n    }\n  };\n  /**\n   * Create a new BlockNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {BlockNode} Returns a transformed copy of the node\n   */\n\n\n  BlockNode.prototype.map = function (callback) {\n    var blocks = [];\n\n    for (var i = 0; i < this.blocks.length; i++) {\n      var block = this.blocks[i];\n\n      var node = this._ifNode(callback(block.node, 'blocks[' + i + '].node', this));\n\n      blocks[i] = {\n        node: node,\n        visible: block.visible\n      };\n    }\n\n    return new BlockNode(blocks);\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {BlockNode}\n   */\n\n\n  BlockNode.prototype.clone = function () {\n    var blocks = this.blocks.map(function (block) {\n      return {\n        node: block.node,\n        visible: block.visible\n      };\n    });\n    return new BlockNode(blocks);\n  };\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  BlockNode.prototype._toString = function (options) {\n    return this.blocks.map(function (param) {\n      return param.node.toString(options) + (param.visible ? '' : ';');\n    }).join('\\n');\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  BlockNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'BlockNode',\n      blocks: this.blocks\n    };\n  };\n  /**\n   * Instantiate an BlockNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"BlockNode\", blocks: [{node: ..., visible: false}, ...]}`,\n   *                       where mathjs is optional\n   * @returns {BlockNode}\n   */\n\n\n  BlockNode.fromJSON = function (json) {\n    return new BlockNode(json.blocks);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  BlockNode.prototype.toHTML = function (options) {\n    return this.blocks.map(function (param) {\n      return param.node.toHTML(options) + (param.visible ? '' : '<span class=\"math-separator\">;</span>');\n    }).join('<span class=\"math-separator\"><br /></span>');\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  BlockNode.prototype._toTex = function (options) {\n    return this.blocks.map(function (param) {\n      return param.node.toTex(options) + (param.visible ? '' : ';');\n    }).join('\\\\;\\\\;\\n');\n  };\n\n  return BlockNode;\n}\n\nexports.name = 'BlockNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nvar operators = require('../operators');\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  var mathTypeOf = load(require('../../function/utils/typeof'));\n  /**\n   * A lazy evaluating conditional operator: 'condition ? trueExpr : falseExpr'\n   *\n   * @param {Node} condition   Condition, must result in a boolean\n   * @param {Node} trueExpr    Expression evaluated when condition is true\n   * @param {Node} falseExpr   Expression evaluated when condition is true\n   *\n   * @constructor ConditionalNode\n   * @extends {Node}\n   */\n\n  function ConditionalNode(condition, trueExpr, falseExpr) {\n    if (!(this instanceof ConditionalNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    if (!type.isNode(condition)) throw new TypeError('Parameter condition must be a Node');\n    if (!type.isNode(trueExpr)) throw new TypeError('Parameter trueExpr must be a Node');\n    if (!type.isNode(falseExpr)) throw new TypeError('Parameter falseExpr must be a Node');\n    this.condition = condition;\n    this.trueExpr = trueExpr;\n    this.falseExpr = falseExpr;\n  }\n\n  ConditionalNode.prototype = new Node();\n  ConditionalNode.prototype.type = 'ConditionalNode';\n  ConditionalNode.prototype.isConditionalNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  ConditionalNode.prototype._compile = function (math, argNames) {\n    var evalCondition = this.condition._compile(math, argNames);\n\n    var evalTrueExpr = this.trueExpr._compile(math, argNames);\n\n    var evalFalseExpr = this.falseExpr._compile(math, argNames);\n\n    return function evalConditionalNode(scope, args, context) {\n      return testCondition(evalCondition(scope, args, context)) ? evalTrueExpr(scope, args, context) : evalFalseExpr(scope, args, context);\n    };\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  ConditionalNode.prototype.forEach = function (callback) {\n    callback(this.condition, 'condition', this);\n    callback(this.trueExpr, 'trueExpr', this);\n    callback(this.falseExpr, 'falseExpr', this);\n  };\n  /**\n   * Create a new ConditionalNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {ConditionalNode} Returns a transformed copy of the node\n   */\n\n\n  ConditionalNode.prototype.map = function (callback) {\n    return new ConditionalNode(this._ifNode(callback(this.condition, 'condition', this)), this._ifNode(callback(this.trueExpr, 'trueExpr', this)), this._ifNode(callback(this.falseExpr, 'falseExpr', this)));\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {ConditionalNode}\n   */\n\n\n  ConditionalNode.prototype.clone = function () {\n    return new ConditionalNode(this.condition, this.trueExpr, this.falseExpr);\n  };\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  ConditionalNode.prototype._toString = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var precedence = operators.getPrecedence(this, parenthesis); // Enclose Arguments in parentheses if they are an OperatorNode\n    // or have lower or equal precedence\n    // NOTE: enclosing all OperatorNodes in parentheses is a decision\n    // purely based on aesthetics and readability\n\n    var condition = this.condition.toString(options);\n    var conditionPrecedence = operators.getPrecedence(this.condition, parenthesis);\n\n    if (parenthesis === 'all' || this.condition.type === 'OperatorNode' || conditionPrecedence !== null && conditionPrecedence <= precedence) {\n      condition = '(' + condition + ')';\n    }\n\n    var trueExpr = this.trueExpr.toString(options);\n    var truePrecedence = operators.getPrecedence(this.trueExpr, parenthesis);\n\n    if (parenthesis === 'all' || this.trueExpr.type === 'OperatorNode' || truePrecedence !== null && truePrecedence <= precedence) {\n      trueExpr = '(' + trueExpr + ')';\n    }\n\n    var falseExpr = this.falseExpr.toString(options);\n    var falsePrecedence = operators.getPrecedence(this.falseExpr, parenthesis);\n\n    if (parenthesis === 'all' || this.falseExpr.type === 'OperatorNode' || falsePrecedence !== null && falsePrecedence <= precedence) {\n      falseExpr = '(' + falseExpr + ')';\n    }\n\n    return condition + ' ? ' + trueExpr + ' : ' + falseExpr;\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  ConditionalNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'ConditionalNode',\n      condition: this.condition,\n      trueExpr: this.trueExpr,\n      falseExpr: this.falseExpr\n    };\n  };\n  /**\n   * Instantiate an ConditionalNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"ConditionalNode\", \"condition\": ..., \"trueExpr\": ..., \"falseExpr\": ...}`,\n   *                       where mathjs is optional\n   * @returns {ConditionalNode}\n   */\n\n\n  ConditionalNode.fromJSON = function (json) {\n    return new ConditionalNode(json.condition, json.trueExpr, json.falseExpr);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  ConditionalNode.prototype.toHTML = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var precedence = operators.getPrecedence(this, parenthesis); // Enclose Arguments in parentheses if they are an OperatorNode\n    // or have lower or equal precedence\n    // NOTE: enclosing all OperatorNodes in parentheses is a decision\n    // purely based on aesthetics and readability\n\n    var condition = this.condition.toHTML(options);\n    var conditionPrecedence = operators.getPrecedence(this.condition, parenthesis);\n\n    if (parenthesis === 'all' || this.condition.type === 'OperatorNode' || conditionPrecedence !== null && conditionPrecedence <= precedence) {\n      condition = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + condition + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n    }\n\n    var trueExpr = this.trueExpr.toHTML(options);\n    var truePrecedence = operators.getPrecedence(this.trueExpr, parenthesis);\n\n    if (parenthesis === 'all' || this.trueExpr.type === 'OperatorNode' || truePrecedence !== null && truePrecedence <= precedence) {\n      trueExpr = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + trueExpr + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n    }\n\n    var falseExpr = this.falseExpr.toHTML(options);\n    var falsePrecedence = operators.getPrecedence(this.falseExpr, parenthesis);\n\n    if (parenthesis === 'all' || this.falseExpr.type === 'OperatorNode' || falsePrecedence !== null && falsePrecedence <= precedence) {\n      falseExpr = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + falseExpr + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n    }\n\n    return condition + '<span class=\"math-operator math-conditional-operator\">?</span>' + trueExpr + '<span class=\"math-operator math-conditional-operator\">:</span>' + falseExpr;\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  ConditionalNode.prototype._toTex = function (options) {\n    return '\\\\begin{cases} {' + this.trueExpr.toTex(options) + '}, &\\\\quad{\\\\text{if }\\\\;' + this.condition.toTex(options) + '}\\\\\\\\{' + this.falseExpr.toTex(options) + '}, &\\\\quad{\\\\text{otherwise}}\\\\end{cases}';\n  };\n  /**\n   * Test whether a condition is met\n   * @param {*} condition\n   * @returns {boolean} true if condition is true or non-zero, else false\n   */\n\n\n  function testCondition(condition) {\n    if (typeof condition === 'number' || typeof condition === 'boolean' || typeof condition === 'string') {\n      return !!condition;\n    }\n\n    if (condition) {\n      if (type.isBigNumber(condition)) {\n        return !condition.isZero();\n      }\n\n      if (type.isComplex(condition)) {\n        return !!(condition.re || condition.im);\n      }\n\n      if (type.isUnit(condition)) {\n        return !!condition.value;\n      }\n    }\n\n    if (condition === null || condition === undefined) {\n      return false;\n    }\n\n    throw new TypeError('Unsupported type of condition \"' + mathTypeOf(condition) + '\"');\n  }\n\n  return ConditionalNode;\n}\n\nexports.name = 'ConditionalNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nvar keywords = require('../keywords');\n\nvar escape = require('../../utils/string').escape;\n\nvar forEach = require('../../utils/array').forEach;\n\nvar join = require('../../utils/array').join;\n\nvar latex = require('../../utils/latex');\n\nvar operators = require('../operators');\n\nvar setSafeProperty = require('../../utils/customs').setSafeProperty;\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  /**\n   * @constructor FunctionAssignmentNode\n   * @extends {Node}\n   * Function assignment\n   *\n   * @param {string} name           Function name\n   * @param {string[] | Array.<{name: string, type: string}>} params\n   *                                Array with function parameter names, or an\n   *                                array with objects containing the name\n   *                                and type of the parameter\n   * @param {Node} expr             The function expression\n   */\n\n  function FunctionAssignmentNode(name, params, expr) {\n    if (!(this instanceof FunctionAssignmentNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    } // validate input\n\n\n    if (typeof name !== 'string') throw new TypeError('String expected for parameter \"name\"');\n    if (!Array.isArray(params)) throw new TypeError('Array containing strings or objects expected for parameter \"params\"');\n    if (!type.isNode(expr)) throw new TypeError('Node expected for parameter \"expr\"');\n    if (name in keywords) throw new Error('Illegal function name, \"' + name + '\" is a reserved keyword');\n    this.name = name;\n    this.params = params.map(function (param) {\n      return param && param.name || param;\n    });\n    this.types = params.map(function (param) {\n      return param && param.type || 'any';\n    });\n    this.expr = expr;\n  }\n\n  FunctionAssignmentNode.prototype = new Node();\n  FunctionAssignmentNode.prototype.type = 'FunctionAssignmentNode';\n  FunctionAssignmentNode.prototype.isFunctionAssignmentNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  FunctionAssignmentNode.prototype._compile = function (math, argNames) {\n    var childArgNames = Object.create(argNames);\n    forEach(this.params, function (param) {\n      childArgNames[param] = true;\n    }); // compile the function expression with the child args\n\n    var evalExpr = this.expr._compile(math, childArgNames);\n\n    var name = this.name;\n    var params = this.params;\n    var signature = join(this.types, ',');\n    var syntax = name + '(' + join(this.params, ', ') + ')';\n    return function evalFunctionAssignmentNode(scope, args, context) {\n      var signatures = {};\n\n      signatures[signature] = function () {\n        var childArgs = Object.create(args);\n\n        for (var i = 0; i < params.length; i++) {\n          childArgs[params[i]] = arguments[i];\n        }\n\n        return evalExpr(scope, childArgs, context);\n      };\n\n      var fn = typed(name, signatures);\n      fn.syntax = syntax;\n      setSafeProperty(scope, name, fn);\n      return fn;\n    };\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  FunctionAssignmentNode.prototype.forEach = function (callback) {\n    callback(this.expr, 'expr', this);\n  };\n  /**\n   * Create a new FunctionAssignmentNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {FunctionAssignmentNode} Returns a transformed copy of the node\n   */\n\n\n  FunctionAssignmentNode.prototype.map = function (callback) {\n    var expr = this._ifNode(callback(this.expr, 'expr', this));\n\n    return new FunctionAssignmentNode(this.name, this.params.slice(0), expr);\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {FunctionAssignmentNode}\n   */\n\n\n  FunctionAssignmentNode.prototype.clone = function () {\n    return new FunctionAssignmentNode(this.name, this.params.slice(0), this.expr);\n  };\n  /**\n   * Is parenthesis needed?\n   * @param {Node} node\n   * @param {Object} parenthesis\n   * @private\n   */\n\n\n  function needParenthesis(node, parenthesis) {\n    var precedence = operators.getPrecedence(node, parenthesis);\n    var exprPrecedence = operators.getPrecedence(node.expr, parenthesis);\n    return parenthesis === 'all' || exprPrecedence !== null && exprPrecedence <= precedence;\n  }\n  /**\n   * get string representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  FunctionAssignmentNode.prototype._toString = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var expr = this.expr.toString(options);\n\n    if (needParenthesis(this, parenthesis)) {\n      expr = '(' + expr + ')';\n    }\n\n    return this.name + '(' + this.params.join(', ') + ') = ' + expr;\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  FunctionAssignmentNode.prototype.toJSON = function () {\n    var types = this.types;\n    return {\n      mathjs: 'FunctionAssignmentNode',\n      name: this.name,\n      params: this.params.map(function (param, index) {\n        return {\n          name: param,\n          type: types[index]\n        };\n      }),\n      expr: this.expr\n    };\n  };\n  /**\n   * Instantiate an FunctionAssignmentNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"FunctionAssignmentNode\", name: ..., params: ..., expr: ...}`,\n   *                       where mathjs is optional\n   * @returns {FunctionAssignmentNode}\n   */\n\n\n  FunctionAssignmentNode.fromJSON = function (json) {\n    return new FunctionAssignmentNode(json.name, json.params, json.expr);\n  };\n  /**\n   * get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  FunctionAssignmentNode.prototype.toHTML = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var params = [];\n\n    for (var i = 0; i < this.params.length; i++) {\n      params.push('<span class=\"math-symbol math-parameter\">' + escape(this.params[i]) + '</span>');\n    }\n\n    var expr = this.expr.toHTML(options);\n\n    if (needParenthesis(this, parenthesis)) {\n      expr = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + expr + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n    }\n\n    return '<span class=\"math-function\">' + escape(this.name) + '</span>' + '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + params.join('<span class=\"math-separator\">,</span>') + '<span class=\"math-parenthesis math-round-parenthesis\">)</span><span class=\"math-operator math-assignment-operator math-variable-assignment-operator math-binary-operator\">=</span>' + expr;\n  };\n  /**\n   * get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  FunctionAssignmentNode.prototype._toTex = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var expr = this.expr.toTex(options);\n\n    if (needParenthesis(this, parenthesis)) {\n      expr = \"\\\\left(\".concat(expr, \"\\\\right)\");\n    }\n\n    return '\\\\mathrm{' + this.name + '}\\\\left(' + this.params.map(latex.toSymbol).join(',') + '\\\\right):=' + expr;\n  };\n\n  return FunctionAssignmentNode;\n}\n\nexports.name = 'FunctionAssignmentNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nvar map = require('../../utils/array').map;\n\nvar escape = require('../../utils/string').escape;\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  var Range = load(require('../../type/matrix/Range'));\n  var isArray = Array.isArray;\n  /**\n   * @constructor IndexNode\n   * @extends Node\n   *\n   * Describes a subset of a matrix or an object property.\n   * Cannot be used on its own, needs to be used within an AccessorNode or\n   * AssignmentNode.\n   *\n   * @param {Node[]} dimensions\n   * @param {boolean} [dotNotation=false]  Optional property describing whether\n   *                                       this index was written using dot\n   *                                       notation like `a.b`, or using bracket\n   *                                       notation like `a[\"b\"]` (default).\n   *                                       Used to stringify an IndexNode.\n   */\n\n  function IndexNode(dimensions, dotNotation) {\n    if (!(this instanceof IndexNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    this.dimensions = dimensions;\n    this.dotNotation = dotNotation || false; // validate input\n\n    if (!isArray(dimensions) || !dimensions.every(type.isNode)) {\n      throw new TypeError('Array containing Nodes expected for parameter \"dimensions\"');\n    }\n\n    if (this.dotNotation && !this.isObjectProperty()) {\n      throw new Error('dotNotation only applicable for object properties');\n    } // TODO: deprecated since v3, remove some day\n\n\n    var deprecated = function deprecated() {\n      throw new Error('Property `IndexNode.object` is deprecated, use `IndexNode.fn` instead');\n    };\n\n    Object.defineProperty(this, 'object', {\n      get: deprecated,\n      set: deprecated\n    });\n  }\n\n  IndexNode.prototype = new Node();\n  IndexNode.prototype.type = 'IndexNode';\n  IndexNode.prototype.isIndexNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  IndexNode.prototype._compile = function (math, argNames) {\n    // TODO: implement support for bignumber (currently bignumbers are silently\n    //       reduced to numbers when changing the value to zero-based)\n    // TODO: Optimization: when the range values are ConstantNodes,\n    //       we can beforehand resolve the zero-based value\n    // optimization for a simple object property\n    var evalDimensions = map(this.dimensions, function (range, i) {\n      if (type.isRangeNode(range)) {\n        if (range.needsEnd()) {\n          // create a range containing end (like '4:end')\n          var childArgNames = Object.create(argNames);\n          childArgNames['end'] = true;\n\n          var evalStart = range.start._compile(math, childArgNames);\n\n          var evalEnd = range.end._compile(math, childArgNames);\n\n          var evalStep = range.step ? range.step._compile(math, childArgNames) : function () {\n            return 1;\n          };\n          return function evalDimension(scope, args, context) {\n            var size = math.size(context).valueOf();\n            var childArgs = Object.create(args);\n            childArgs['end'] = size[i];\n            return createRange(evalStart(scope, childArgs, context), evalEnd(scope, childArgs, context), evalStep(scope, childArgs, context));\n          };\n        } else {\n          // create range\n          var _evalStart = range.start._compile(math, argNames);\n\n          var _evalEnd = range.end._compile(math, argNames);\n\n          var _evalStep = range.step ? range.step._compile(math, argNames) : function () {\n            return 1;\n          };\n\n          return function evalDimension(scope, args, context) {\n            return createRange(_evalStart(scope, args, context), _evalEnd(scope, args, context), _evalStep(scope, args, context));\n          };\n        }\n      } else if (type.isSymbolNode(range) && range.name === 'end') {\n        // SymbolNode 'end'\n        var _childArgNames = Object.create(argNames);\n\n        _childArgNames['end'] = true;\n\n        var evalRange = range._compile(math, _childArgNames);\n\n        return function evalDimension(scope, args, context) {\n          var size = math.size(context).valueOf();\n          var childArgs = Object.create(args);\n          childArgs['end'] = size[i];\n          return evalRange(scope, childArgs, context);\n        };\n      } else {\n        // ConstantNode\n        var _evalRange = range._compile(math, argNames);\n\n        return function evalDimension(scope, args, context) {\n          return _evalRange(scope, args, context);\n        };\n      }\n    });\n    return function evalIndexNode(scope, args, context) {\n      var dimensions = map(evalDimensions, function (evalDimension) {\n        return evalDimension(scope, args, context);\n      });\n      return math.index.apply(math, dimensions);\n    };\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  IndexNode.prototype.forEach = function (callback) {\n    for (var i = 0; i < this.dimensions.length; i++) {\n      callback(this.dimensions[i], 'dimensions[' + i + ']', this);\n    }\n  };\n  /**\n   * Create a new IndexNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {IndexNode} Returns a transformed copy of the node\n   */\n\n\n  IndexNode.prototype.map = function (callback) {\n    var dimensions = [];\n\n    for (var i = 0; i < this.dimensions.length; i++) {\n      dimensions[i] = this._ifNode(callback(this.dimensions[i], 'dimensions[' + i + ']', this));\n    }\n\n    return new IndexNode(dimensions);\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {IndexNode}\n   */\n\n\n  IndexNode.prototype.clone = function () {\n    return new IndexNode(this.dimensions.slice(0));\n  };\n  /**\n   * Test whether this IndexNode contains a single property name\n   * @return {boolean}\n   */\n\n\n  IndexNode.prototype.isObjectProperty = function () {\n    return this.dimensions.length === 1 && type.isConstantNode(this.dimensions[0]) && typeof this.dimensions[0].value === 'string';\n  };\n  /**\n   * Returns the property name if IndexNode contains a property.\n   * If not, returns null.\n   * @return {string | null}\n   */\n\n\n  IndexNode.prototype.getObjectProperty = function () {\n    return this.isObjectProperty() ? this.dimensions[0].value : null;\n  };\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  IndexNode.prototype._toString = function (options) {\n    // format the parameters like \"[1, 0:5]\"\n    return this.dotNotation ? '.' + this.getObjectProperty() : '[' + this.dimensions.join(', ') + ']';\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  IndexNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'IndexNode',\n      dimensions: this.dimensions,\n      dotNotation: this.dotNotation\n    };\n  };\n  /**\n   * Instantiate an IndexNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"IndexNode\", dimensions: [...], dotNotation: false}`,\n   *                       where mathjs is optional\n   * @returns {IndexNode}\n   */\n\n\n  IndexNode.fromJSON = function (json) {\n    return new IndexNode(json.dimensions, json.dotNotation);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  IndexNode.prototype.toHTML = function (options) {\n    // format the parameters like \"[1, 0:5]\"\n    var dimensions = [];\n\n    for (var i = 0; i < this.dimensions.length; i++) {\n      dimensions[i] = this.dimensions[i].toHTML();\n    }\n\n    if (this.dotNotation) {\n      return '<span class=\"math-operator math-accessor-operator\">.</span>' + '<span class=\"math-symbol math-property\">' + escape(this.getObjectProperty()) + '</span>';\n    } else {\n      return '<span class=\"math-parenthesis math-square-parenthesis\">[</span>' + dimensions.join('<span class=\"math-separator\">,</span>') + '<span class=\"math-parenthesis math-square-parenthesis\">]</span>';\n    }\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  IndexNode.prototype._toTex = function (options) {\n    var dimensions = this.dimensions.map(function (range) {\n      return range.toTex(options);\n    });\n    return this.dotNotation ? '.' + this.getObjectProperty() + '' : '_{' + dimensions.join(',') + '}';\n  }; // helper function to create a Range from start, step and end\n\n\n  function createRange(start, end, step) {\n    return new Range(type.isBigNumber(start) ? start.toNumber() : start, type.isBigNumber(end) ? end.toNumber() : end, type.isBigNumber(step) ? step.toNumber() : step);\n  }\n\n  return IndexNode;\n}\n\nexports.name = 'IndexNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar stringify = require('../../utils/string').stringify;\n\nvar escape = require('../../utils/string').escape;\n\nvar isSafeProperty = require('../../utils/customs').isSafeProperty;\n\nvar hasOwnProperty = require('../../utils/object').hasOwnProperty;\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  /**\n   * @constructor ObjectNode\n   * @extends {Node}\n   * Holds an object with keys/values\n   * @param {Object.<string, Node>} [properties]   object with key/value pairs\n   */\n\n  function ObjectNode(properties) {\n    if (!(this instanceof ObjectNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    this.properties = properties || {}; // validate input\n\n    if (properties) {\n      if (!(_typeof(properties) === 'object') || !Object.keys(properties).every(function (key) {\n        return type.isNode(properties[key]);\n      })) {\n        throw new TypeError('Object containing Nodes expected');\n      }\n    }\n  }\n\n  ObjectNode.prototype = new Node();\n  ObjectNode.prototype.type = 'ObjectNode';\n  ObjectNode.prototype.isObjectNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  ObjectNode.prototype._compile = function (math, argNames) {\n    var evalEntries = {};\n\n    for (var key in this.properties) {\n      if (hasOwnProperty(this.properties, key)) {\n        // we stringify/parse the key here to resolve unicode characters,\n        // so you cannot create a key like {\"co\\\\u006Estructor\": null}\n        var stringifiedKey = stringify(key);\n        var parsedKey = JSON.parse(stringifiedKey);\n\n        if (!isSafeProperty(this.properties, parsedKey)) {\n          throw new Error('No access to property \"' + parsedKey + '\"');\n        }\n\n        evalEntries[parsedKey] = this.properties[key]._compile(math, argNames);\n      }\n    }\n\n    return function evalObjectNode(scope, args, context) {\n      var obj = {};\n\n      for (var _key in evalEntries) {\n        if (hasOwnProperty(evalEntries, _key)) {\n          obj[_key] = evalEntries[_key](scope, args, context);\n        }\n      }\n\n      return obj;\n    };\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  ObjectNode.prototype.forEach = function (callback) {\n    for (var key in this.properties) {\n      if (this.properties.hasOwnProperty(key)) {\n        callback(this.properties[key], 'properties[' + stringify(key) + ']', this);\n      }\n    }\n  };\n  /**\n   * Create a new ObjectNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {ObjectNode} Returns a transformed copy of the node\n   */\n\n\n  ObjectNode.prototype.map = function (callback) {\n    var properties = {};\n\n    for (var key in this.properties) {\n      if (this.properties.hasOwnProperty(key)) {\n        properties[key] = this._ifNode(callback(this.properties[key], 'properties[' + stringify(key) + ']', this));\n      }\n    }\n\n    return new ObjectNode(properties);\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {ObjectNode}\n   */\n\n\n  ObjectNode.prototype.clone = function () {\n    var properties = {};\n\n    for (var key in this.properties) {\n      if (this.properties.hasOwnProperty(key)) {\n        properties[key] = this.properties[key];\n      }\n    }\n\n    return new ObjectNode(properties);\n  };\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  ObjectNode.prototype._toString = function (options) {\n    var entries = [];\n\n    for (var key in this.properties) {\n      if (this.properties.hasOwnProperty(key)) {\n        entries.push(stringify(key) + ': ' + this.properties[key].toString(options));\n      }\n    }\n\n    return '{' + entries.join(', ') + '}';\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  ObjectNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'ObjectNode',\n      properties: this.properties\n    };\n  };\n  /**\n   * Instantiate an OperatorNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"ObjectNode\", \"properties\": {...}}`,\n   *                       where mathjs is optional\n   * @returns {ObjectNode}\n   */\n\n\n  ObjectNode.fromJSON = function (json) {\n    return new ObjectNode(json.properties);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   * @override\n   */\n\n\n  ObjectNode.prototype.toHTML = function (options) {\n    var entries = [];\n\n    for (var key in this.properties) {\n      if (this.properties.hasOwnProperty(key)) {\n        entries.push('<span class=\"math-symbol math-property\">' + escape(key) + '</span>' + '<span class=\"math-operator math-assignment-operator math-property-assignment-operator math-binary-operator\">:</span>' + this.properties[key].toHTML(options));\n      }\n    }\n\n    return '<span class=\"math-parenthesis math-curly-parenthesis\">{</span>' + entries.join('<span class=\"math-separator\">,</span>') + '<span class=\"math-parenthesis math-curly-parenthesis\">}</span>';\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  ObjectNode.prototype._toTex = function (options) {\n    var entries = [];\n\n    for (var key in this.properties) {\n      if (this.properties.hasOwnProperty(key)) {\n        entries.push('\\\\mathbf{' + key + ':} & ' + this.properties[key].toTex(options) + '\\\\\\\\');\n      }\n    }\n\n    return \"\\\\left\\\\{\\\\begin{array}{ll}\".concat(entries.join('\\n'), \"\\\\end{array}\\\\right\\\\}\");\n  };\n\n  return ObjectNode;\n}\n\nexports.name = 'ObjectNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nvar operators = require('../operators');\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n  /**\n   * @constructor RangeNode\n   * @extends {Node}\n   * create a range\n   * @param {Node} start  included lower-bound\n   * @param {Node} end    included upper-bound\n   * @param {Node} [step] optional step\n   */\n\n  function RangeNode(start, end, step) {\n    if (!(this instanceof RangeNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    } // validate inputs\n\n\n    if (!type.isNode(start)) throw new TypeError('Node expected');\n    if (!type.isNode(end)) throw new TypeError('Node expected');\n    if (step && !type.isNode(step)) throw new TypeError('Node expected');\n    if (arguments.length > 3) throw new Error('Too many arguments');\n    this.start = start; // included lower-bound\n\n    this.end = end; // included upper-bound\n\n    this.step = step || null; // optional step\n  }\n\n  RangeNode.prototype = new Node();\n  RangeNode.prototype.type = 'RangeNode';\n  RangeNode.prototype.isRangeNode = true;\n  /**\n   * Check whether the RangeNode needs the `end` symbol to be defined.\n   * This end is the size of the Matrix in current dimension.\n   * @return {boolean}\n   */\n\n  RangeNode.prototype.needsEnd = function () {\n    // find all `end` symbols in this RangeNode\n    var endSymbols = this.filter(function (node) {\n      return type.isSymbolNode(node) && node.name === 'end';\n    });\n    return endSymbols.length > 0;\n  };\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n\n  RangeNode.prototype._compile = function (math, argNames) {\n    var range = math.range;\n\n    var evalStart = this.start._compile(math, argNames);\n\n    var evalEnd = this.end._compile(math, argNames);\n\n    if (this.step) {\n      var evalStep = this.step._compile(math, argNames);\n\n      return function evalRangeNode(scope, args, context) {\n        return range(evalStart(scope, args, context), evalEnd(scope, args, context), evalStep(scope, args, context));\n      };\n    } else {\n      return function evalRangeNode(scope, args, context) {\n        return range(evalStart(scope, args, context), evalEnd(scope, args, context));\n      };\n    }\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  RangeNode.prototype.forEach = function (callback) {\n    callback(this.start, 'start', this);\n    callback(this.end, 'end', this);\n\n    if (this.step) {\n      callback(this.step, 'step', this);\n    }\n  };\n  /**\n   * Create a new RangeNode having it's childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {RangeNode} Returns a transformed copy of the node\n   */\n\n\n  RangeNode.prototype.map = function (callback) {\n    return new RangeNode(this._ifNode(callback(this.start, 'start', this)), this._ifNode(callback(this.end, 'end', this)), this.step && this._ifNode(callback(this.step, 'step', this)));\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {RangeNode}\n   */\n\n\n  RangeNode.prototype.clone = function () {\n    return new RangeNode(this.start, this.end, this.step && this.step);\n  };\n  /**\n   * Calculate the necessary parentheses\n   * @param {Node} node\n   * @param {string} parenthesis\n   * @return {Object} parentheses\n   * @private\n   */\n\n\n  function calculateNecessaryParentheses(node, parenthesis) {\n    var precedence = operators.getPrecedence(node, parenthesis);\n    var parens = {};\n    var startPrecedence = operators.getPrecedence(node.start, parenthesis);\n    parens.start = startPrecedence !== null && startPrecedence <= precedence || parenthesis === 'all';\n\n    if (node.step) {\n      var stepPrecedence = operators.getPrecedence(node.step, parenthesis);\n      parens.step = stepPrecedence !== null && stepPrecedence <= precedence || parenthesis === 'all';\n    }\n\n    var endPrecedence = operators.getPrecedence(node.end, parenthesis);\n    parens.end = endPrecedence !== null && endPrecedence <= precedence || parenthesis === 'all';\n    return parens;\n  }\n  /**\n   * Get string representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  RangeNode.prototype._toString = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var parens = calculateNecessaryParentheses(this, parenthesis); // format string as start:step:stop\n\n    var str;\n    var start = this.start.toString(options);\n\n    if (parens.start) {\n      start = '(' + start + ')';\n    }\n\n    str = start;\n\n    if (this.step) {\n      var step = this.step.toString(options);\n\n      if (parens.step) {\n        step = '(' + step + ')';\n      }\n\n      str += ':' + step;\n    }\n\n    var end = this.end.toString(options);\n\n    if (parens.end) {\n      end = '(' + end + ')';\n    }\n\n    str += ':' + end;\n    return str;\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  RangeNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'RangeNode',\n      start: this.start,\n      end: this.end,\n      step: this.step\n    };\n  };\n  /**\n   * Instantiate an RangeNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"RangeNode\", \"start\": ..., \"end\": ..., \"step\": ...}`,\n   *                       where mathjs is optional\n   * @returns {RangeNode}\n   */\n\n\n  RangeNode.fromJSON = function (json) {\n    return new RangeNode(json.start, json.end, json.step);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  RangeNode.prototype.toHTML = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var parens = calculateNecessaryParentheses(this, parenthesis); // format string as start:step:stop\n\n    var str;\n    var start = this.start.toHTML(options);\n\n    if (parens.start) {\n      start = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + start + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n    }\n\n    str = start;\n\n    if (this.step) {\n      var step = this.step.toHTML(options);\n\n      if (parens.step) {\n        step = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + step + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n      }\n\n      str += '<span class=\"math-operator math-range-operator\">:</span>' + step;\n    }\n\n    var end = this.end.toHTML(options);\n\n    if (parens.end) {\n      end = '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + end + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>';\n    }\n\n    str += '<span class=\"math-operator math-range-operator\">:</span>' + end;\n    return str;\n  };\n  /**\n   * Get LaTeX representation\n   * @params {Object} options\n   * @return {string} str\n   */\n\n\n  RangeNode.prototype._toTex = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var parens = calculateNecessaryParentheses(this, parenthesis);\n    var str = this.start.toTex(options);\n\n    if (parens.start) {\n      str = \"\\\\left(\".concat(str, \"\\\\right)\");\n    }\n\n    if (this.step) {\n      var step = this.step.toTex(options);\n\n      if (parens.step) {\n        step = \"\\\\left(\".concat(step, \"\\\\right)\");\n      }\n\n      str += ':' + step;\n    }\n\n    var end = this.end.toTex(options);\n\n    if (parens.end) {\n      end = \"\\\\left(\".concat(end, \"\\\\right)\");\n    }\n\n    str += ':' + end;\n    return str;\n  };\n\n  return RangeNode;\n}\n\nexports.name = 'RangeNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nvar operators = require('../operators');\n\nvar latex = require('../../utils/latex');\n\nvar escape = require('../../utils/string').escape;\n\nfunction factory(type, config, load, typed) {\n  var Node = load(require('./Node'));\n\n  var getSafeProperty = require('../../utils/customs').getSafeProperty;\n  /**\n   * A node representing a chained conditional expression, such as 'x > y > z'\n   *\n   * @param {String[]} conditionals   An array of conditional operators used to compare the parameters\n   * @param {Node[]} params   The parameters that will be compared\n   *\n   * @constructor RelationalNode\n   * @extends {Node}\n   */\n\n\n  function RelationalNode(conditionals, params) {\n    if (!(this instanceof RelationalNode)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    if (!Array.isArray(conditionals)) throw new TypeError('Parameter conditionals must be an array');\n    if (!Array.isArray(params)) throw new TypeError('Parameter params must be an array');\n    if (conditionals.length !== params.length - 1) throw new TypeError('Parameter params must contain exactly one more element than parameter conditionals');\n    this.conditionals = conditionals;\n    this.params = params;\n  }\n\n  RelationalNode.prototype = new Node();\n  RelationalNode.prototype.type = 'RelationalNode';\n  RelationalNode.prototype.isRelationalNode = true;\n  /**\n   * Compile a node into a JavaScript function.\n   * This basically pre-calculates as much as possible and only leaves open\n   * calculations which depend on a dynamic scope with variables.\n   * @param {Object} math     Math.js namespace with functions and constants.\n   * @param {Object} argNames An object with argument names as key and `true`\n   *                          as value. Used in the SymbolNode to optimize\n   *                          for arguments from user assigned functions\n   *                          (see FunctionAssignmentNode) or special symbols\n   *                          like `end` (see IndexNode).\n   * @return {function} Returns a function which can be called like:\n   *                        evalNode(scope: Object, args: Object, context: *)\n   */\n\n  RelationalNode.prototype._compile = function (math, argNames) {\n    var self = this;\n    var compiled = this.params.map(function (p) {\n      return p._compile(math, argNames);\n    });\n    return function evalRelationalNode(scope, args, context) {\n      var evalLhs;\n      var evalRhs = compiled[0](scope, args, context);\n\n      for (var i = 0; i < self.conditionals.length; i++) {\n        evalLhs = evalRhs;\n        evalRhs = compiled[i + 1](scope, args, context);\n        var condFn = getSafeProperty(math, self.conditionals[i]);\n\n        if (!condFn(evalLhs, evalRhs)) {\n          return false;\n        }\n      }\n\n      return true;\n    };\n  };\n  /**\n   * Execute a callback for each of the child nodes of this node\n   * @param {function(child: Node, path: string, parent: Node)} callback\n   */\n\n\n  RelationalNode.prototype.forEach = function (callback) {\n    var _this = this;\n\n    this.params.forEach(function (n, i) {\n      return callback(n, 'params[' + i + ']', _this);\n    }, this);\n  };\n  /**\n   * Create a new RelationalNode having its childs be the results of calling\n   * the provided callback function for each of the childs of the original node.\n   * @param {function(child: Node, path: string, parent: Node): Node} callback\n   * @returns {RelationalNode} Returns a transformed copy of the node\n   */\n\n\n  RelationalNode.prototype.map = function (callback) {\n    var _this2 = this;\n\n    return new RelationalNode(this.conditionals.slice(), this.params.map(function (n, i) {\n      return _this2._ifNode(callback(n, 'params[' + i + ']', _this2));\n    }, this));\n  };\n  /**\n   * Create a clone of this node, a shallow copy\n   * @return {RelationalNode}\n   */\n\n\n  RelationalNode.prototype.clone = function () {\n    return new RelationalNode(this.conditionals, this.params);\n  };\n  /**\n   * Get string representation.\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  RelationalNode.prototype._toString = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var precedence = operators.getPrecedence(this, parenthesis);\n    var paramStrings = this.params.map(function (p, index) {\n      var paramPrecedence = operators.getPrecedence(p, parenthesis);\n      return parenthesis === 'all' || paramPrecedence !== null && paramPrecedence <= precedence ? '(' + p.toString(options) + ')' : p.toString(options);\n    });\n    var operatorMap = {\n      'equal': '==',\n      'unequal': '!=',\n      'smaller': '<',\n      'larger': '>',\n      'smallerEq': '<=',\n      'largerEq': '>='\n    };\n    var ret = paramStrings[0];\n\n    for (var i = 0; i < this.conditionals.length; i++) {\n      ret += ' ' + operatorMap[this.conditionals[i]] + ' ' + paramStrings[i + 1];\n    }\n\n    return ret;\n  };\n  /**\n   * Get a JSON representation of the node\n   * @returns {Object}\n   */\n\n\n  RelationalNode.prototype.toJSON = function () {\n    return {\n      mathjs: 'RelationalNode',\n      conditionals: this.conditionals,\n      params: this.params\n    };\n  };\n  /**\n   * Instantiate a RelationalNode from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"RelationalNode\", \"condition\": ..., \"trueExpr\": ..., \"falseExpr\": ...}`,\n   *                       where mathjs is optional\n   * @returns {RelationalNode}\n   */\n\n\n  RelationalNode.fromJSON = function (json) {\n    return new RelationalNode(json.conditionals, json.params);\n  };\n  /**\n   * Get HTML representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  RelationalNode.prototype.toHTML = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var precedence = operators.getPrecedence(this, parenthesis);\n    var paramStrings = this.params.map(function (p, index) {\n      var paramPrecedence = operators.getPrecedence(p, parenthesis);\n      return parenthesis === 'all' || paramPrecedence !== null && paramPrecedence <= precedence ? '<span class=\"math-parenthesis math-round-parenthesis\">(</span>' + p.toHTML(options) + '<span class=\"math-parenthesis math-round-parenthesis\">)</span>' : p.toHTML(options);\n    });\n    var operatorMap = {\n      'equal': '==',\n      'unequal': '!=',\n      'smaller': '<',\n      'larger': '>',\n      'smallerEq': '<=',\n      'largerEq': '>='\n    };\n    var ret = paramStrings[0];\n\n    for (var i = 0; i < this.conditionals.length; i++) {\n      ret += '<span class=\"math-operator math-binary-operator math-explicit-binary-operator\">' + escape(operatorMap[this.conditionals[i]]) + '</span>' + paramStrings[i + 1];\n    }\n\n    return ret;\n  };\n  /**\n   * Get LaTeX representation\n   * @param {Object} options\n   * @return {string} str\n   */\n\n\n  RelationalNode.prototype._toTex = function (options) {\n    var parenthesis = options && options.parenthesis ? options.parenthesis : 'keep';\n    var precedence = operators.getPrecedence(this, parenthesis);\n    var paramStrings = this.params.map(function (p, index) {\n      var paramPrecedence = operators.getPrecedence(p, parenthesis);\n      return parenthesis === 'all' || paramPrecedence !== null && paramPrecedence <= precedence ? '\\\\left(' + p.toString(options) + '\\right)' : p.toString(options);\n    });\n    var ret = paramStrings[0];\n\n    for (var i = 0; i < this.conditionals.length; i++) {\n      ret += latex.operators[this.conditionals[i]] + paramStrings[i + 1];\n    }\n\n    return ret;\n  };\n\n  return RelationalNode;\n}\n\nexports.name = 'RelationalNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict'; // TODO this could be improved by simplifying seperated constants under associative and commutative operators\n\nfunction factory(type, config, load, typed, math) {\n  var util = load(require('./util'));\n  var isCommutative = util.isCommutative;\n  var isAssociative = util.isAssociative;\n  var allChildren = util.allChildren;\n  var createMakeNodeFunction = util.createMakeNodeFunction;\n  var ConstantNode = math.expression.node.ConstantNode;\n  var OperatorNode = math.expression.node.OperatorNode;\n  var FunctionNode = math.expression.node.FunctionNode;\n\n  function simplifyConstant(expr, options) {\n    var res = foldFraction(expr, options);\n    return type.isNode(res) ? res : _toNode(res);\n  }\n\n  function _eval(fnname, args, options) {\n    try {\n      return _toNumber(math[fnname].apply(null, args), options);\n    } catch (ignore) {\n      // sometimes the implicit type conversion causes the evaluation to fail, so we'll try again after removing Fractions\n      args = args.map(function (x) {\n        if (type.isFraction(x)) {\n          return x.valueOf();\n        }\n\n        return x;\n      });\n      return _toNumber(math[fnname].apply(null, args), options);\n    }\n  }\n\n  var _toNode = typed({\n    'Fraction': _fractionToNode,\n    'number': function number(n) {\n      if (n < 0) {\n        return unaryMinusNode(new ConstantNode(-n));\n      }\n\n      return new ConstantNode(n);\n    },\n    'BigNumber': function BigNumber(n) {\n      if (n < 0) {\n        return unaryMinusNode(new ConstantNode(-n));\n      }\n\n      return new ConstantNode(n); // old parameters: (n.toString(), 'number')\n    },\n    'Complex': function Complex(s) {\n      throw new Error('Cannot convert Complex number to Node');\n    }\n  }); // convert a number to a fraction only if it can be expressed exactly\n\n\n  function _exactFraction(n, options) {\n    var exactFractions = options && options.exactFractions !== false;\n\n    if (exactFractions && isFinite(n)) {\n      var f = math.fraction(n);\n\n      if (f.valueOf() === n) {\n        return f;\n      }\n    }\n\n    return n;\n  } // Convert numbers to a preferred number type in preference order: Fraction, number, Complex\n  // BigNumbers are left alone\n\n\n  var _toNumber = typed({\n    'string, Object': function stringObject(s, options) {\n      if (config.number === 'BigNumber') {\n        return math.bignumber(s);\n      } else if (config.number === 'Fraction') {\n        return math.fraction(s);\n      } else {\n        var n = parseFloat(s);\n        return _exactFraction(n, options);\n      }\n    },\n    'Fraction, Object': function FractionObject(s, options) {\n      return s;\n    },\n    // we don't need options here\n    'BigNumber, Object': function BigNumberObject(s, options) {\n      return s;\n    },\n    // we don't need options here\n    'number, Object': function numberObject(s, options) {\n      return _exactFraction(s, options);\n    },\n    'Complex, Object': function ComplexObject(s, options) {\n      if (s.im !== 0) {\n        return s;\n      }\n\n      return _exactFraction(s.re, options);\n    }\n  });\n\n  function unaryMinusNode(n) {\n    return new OperatorNode('-', 'unaryMinus', [n]);\n  }\n\n  function _fractionToNode(f) {\n    var n;\n    var vn = f.s * f.n;\n\n    if (vn < 0) {\n      n = new OperatorNode('-', 'unaryMinus', [new ConstantNode(-vn)]);\n    } else {\n      n = new ConstantNode(vn);\n    }\n\n    if (f.d === 1) {\n      return n;\n    }\n\n    return new OperatorNode('/', 'divide', [n, new ConstantNode(f.d)]);\n  }\n  /*\n   * Create a binary tree from a list of Fractions and Nodes.\n   * Tries to fold Fractions by evaluating them until the first Node in the list is hit, so\n   * `args` should be sorted to have the Fractions at the start (if the operator is commutative).\n   * @param args - list of Fractions and Nodes\n   * @param fn - evaluator for the binary operation evaluator that accepts two Fractions\n   * @param makeNode - creates a binary OperatorNode/FunctionNode from a list of child Nodes\n   * if args.length is 1, returns args[0]\n   * @return - Either a Node representing a binary expression or Fraction\n   */\n\n\n  function foldOp(fn, args, makeNode, options) {\n    return args.reduce(function (a, b) {\n      if (!type.isNode(a) && !type.isNode(b)) {\n        try {\n          return _eval(fn, [a, b], options);\n        } catch (ignoreandcontinue) {}\n\n        a = _toNode(a);\n        b = _toNode(b);\n      } else if (!type.isNode(a)) {\n        a = _toNode(a);\n      } else if (!type.isNode(b)) {\n        b = _toNode(b);\n      }\n\n      return makeNode([a, b]);\n    });\n  } // destroys the original node and returns a folded one\n\n\n  function foldFraction(node, options) {\n    switch (node.type) {\n      case 'SymbolNode':\n        return node;\n\n      case 'ConstantNode':\n        if (typeof node.value === 'number' || !isNaN(node.value)) {\n          return _toNumber(node.value, options);\n        }\n\n        return node;\n\n      case 'FunctionNode':\n        if (math[node.name] && math[node.name].rawArgs) {\n          return node;\n        } // Process operators as OperatorNode\n\n\n        var operatorFunctions = ['add', 'multiply'];\n\n        if (operatorFunctions.indexOf(node.name) === -1) {\n          var _args = node.args.map(function (arg) {\n            return foldFraction(arg, options);\n          }); // If all args are numbers\n\n\n          if (!_args.some(type.isNode)) {\n            try {\n              return _eval(node.name, _args, options);\n            } catch (ignoreandcontine) {}\n          } // Convert all args to nodes and construct a symbolic function call\n\n\n          _args = _args.map(function (arg) {\n            return type.isNode(arg) ? arg : _toNode(arg);\n          });\n          return new FunctionNode(node.name, _args);\n        } else {}\n\n      // treat as operator\n\n      /* falls through */\n\n      case 'OperatorNode':\n        var fn = node.fn.toString();\n        var args;\n        var res;\n        var makeNode = createMakeNodeFunction(node);\n\n        if (node.isUnary()) {\n          args = [foldFraction(node.args[0], options)];\n\n          if (!type.isNode(args[0])) {\n            res = _eval(fn, args, options);\n          } else {\n            res = makeNode(args);\n          }\n        } else if (isAssociative(node)) {\n          args = allChildren(node);\n          args = args.map(function (arg) {\n            return foldFraction(arg, options);\n          });\n\n          if (isCommutative(fn)) {\n            // commutative binary operator\n            var consts = [];\n            var vars = [];\n\n            for (var i = 0; i < args.length; i++) {\n              if (!type.isNode(args[i])) {\n                consts.push(args[i]);\n              } else {\n                vars.push(args[i]);\n              }\n            }\n\n            if (consts.length > 1) {\n              res = foldOp(fn, consts, makeNode, options);\n              vars.unshift(res);\n              res = foldOp(fn, vars, makeNode, options);\n            } else {\n              // we won't change the children order since it's not neccessary\n              res = foldOp(fn, args, makeNode, options);\n            }\n          } else {\n            // non-commutative binary operator\n            res = foldOp(fn, args, makeNode, options);\n          }\n        } else {\n          // non-associative binary operator\n          args = node.args.map(function (arg) {\n            return foldFraction(arg, options);\n          });\n          res = foldOp(fn, args, makeNode, options);\n        }\n\n        return res;\n\n      case 'ParenthesisNode':\n        // remove the uneccessary parenthesis\n        return foldFraction(node.content, options);\n\n      case 'AccessorNode':\n      /* falls through */\n\n      case 'ArrayNode':\n      /* falls through */\n\n      case 'AssignmentNode':\n      /* falls through */\n\n      case 'BlockNode':\n      /* falls through */\n\n      case 'FunctionAssignmentNode':\n      /* falls through */\n\n      case 'IndexNode':\n      /* falls through */\n\n      case 'ObjectNode':\n      /* falls through */\n\n      case 'RangeNode':\n      /* falls through */\n\n      case 'UpdateNode':\n      /* falls through */\n\n      case 'ConditionalNode':\n      /* falls through */\n\n      default:\n        throw new Error(\"Unimplemented node type in simplifyConstant: \".concat(node.type));\n    }\n  }\n\n  return simplifyConstant;\n}\n\nexports.math = true;\nexports.name = 'simplifyConstant';\nexports.path = 'algebra.simplify';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed, math) {\n  var FunctionNode = math.expression.node.FunctionNode;\n  var OperatorNode = math.expression.node.OperatorNode;\n  var SymbolNode = math.expression.node.SymbolNode; // TODO commutative/associative properties rely on the arguments\n  // e.g. multiply is not commutative for matrices\n  // The properties should be calculated from an argument to simplify, or possibly something in math.config\n  // the other option is for typed() to specify a return type so that we can evaluate the type of arguments\n\n  var commutative = {\n    'add': true,\n    'multiply': true\n  };\n  var associative = {\n    'add': true,\n    'multiply': true\n  };\n\n  function isCommutative(node, context) {\n    if (!type.isOperatorNode(node)) {\n      return true;\n    }\n\n    var name = node.fn.toString();\n\n    if (context && context.hasOwnProperty(name) && context[name].hasOwnProperty('commutative')) {\n      return context[name].commutative;\n    }\n\n    return commutative[name] || false;\n  }\n\n  function isAssociative(node, context) {\n    if (!type.isOperatorNode(node)) {\n      return false;\n    }\n\n    var name = node.fn.toString();\n\n    if (context && context.hasOwnProperty(name) && context[name].hasOwnProperty('associative')) {\n      return context[name].associative;\n    }\n\n    return associative[name] || false;\n  }\n  /**\n   * Flatten all associative operators in an expression tree.\n   * Assumes parentheses have already been removed.\n   */\n\n\n  function flatten(node) {\n    if (!node.args || node.args.length === 0) {\n      return node;\n    }\n\n    node.args = allChildren(node);\n\n    for (var i = 0; i < node.args.length; i++) {\n      flatten(node.args[i]);\n    }\n  }\n  /**\n   * Get the children of a node as if it has been flattened.\n   * TODO implement for FunctionNodes\n   */\n\n\n  function allChildren(node) {\n    var op;\n    var children = [];\n\n    var findChildren = function findChildren(node) {\n      for (var i = 0; i < node.args.length; i++) {\n        var child = node.args[i];\n\n        if (type.isOperatorNode(child) && op === child.op) {\n          findChildren(child);\n        } else {\n          children.push(child);\n        }\n      }\n    };\n\n    if (isAssociative(node)) {\n      op = node.op;\n      findChildren(node);\n      return children;\n    } else {\n      return node.args;\n    }\n  }\n  /**\n   *  Unflatten all flattened operators to a right-heavy binary tree.\n   */\n\n\n  function unflattenr(node) {\n    if (!node.args || node.args.length === 0) {\n      return;\n    }\n\n    var makeNode = createMakeNodeFunction(node);\n    var l = node.args.length;\n\n    for (var i = 0; i < l; i++) {\n      unflattenr(node.args[i]);\n    }\n\n    if (l > 2 && isAssociative(node)) {\n      var curnode = node.args.pop();\n\n      while (node.args.length > 0) {\n        curnode = makeNode([node.args.pop(), curnode]);\n      }\n\n      node.args = curnode.args;\n    }\n  }\n  /**\n   *  Unflatten all flattened operators to a left-heavy binary tree.\n   */\n\n\n  function unflattenl(node) {\n    if (!node.args || node.args.length === 0) {\n      return;\n    }\n\n    var makeNode = createMakeNodeFunction(node);\n    var l = node.args.length;\n\n    for (var i = 0; i < l; i++) {\n      unflattenl(node.args[i]);\n    }\n\n    if (l > 2 && isAssociative(node)) {\n      var curnode = node.args.shift();\n\n      while (node.args.length > 0) {\n        curnode = makeNode([curnode, node.args.shift()]);\n      }\n\n      node.args = curnode.args;\n    }\n  }\n\n  function createMakeNodeFunction(node) {\n    if (type.isOperatorNode(node)) {\n      return function (args) {\n        try {\n          return new OperatorNode(node.op, node.fn, args, node.implicit);\n        } catch (err) {\n          console.error(err);\n          return [];\n        }\n      };\n    } else {\n      return function (args) {\n        return new FunctionNode(new SymbolNode(node.name), args);\n      };\n    }\n  }\n\n  return {\n    createMakeNodeFunction: createMakeNodeFunction,\n    isCommutative: isCommutative,\n    isAssociative: isAssociative,\n    flatten: flatten,\n    allChildren: allChildren,\n    unflattenr: unflattenr,\n    unflattenl: unflattenl\n  };\n}\n\nexports.factory = factory;\nexports.math = true;","'use strict';\n\nfunction factory(type, config, load, typed, math) {\n  var equal = load(require('../../relational/equal'));\n  var isZero = load(require('../../utils/isZero'));\n  var add = load(require('../../arithmetic/add'));\n  var subtract = load(require('../../arithmetic/subtract'));\n  var multiply = load(require('../../arithmetic/multiply'));\n  var divide = load(require('../../arithmetic/divide'));\n  var pow = load(require('../../arithmetic/pow'));\n  var ConstantNode = math.expression.node.ConstantNode;\n  var OperatorNode = math.expression.node.OperatorNode;\n  var FunctionNode = math.expression.node.FunctionNode;\n  var ParenthesisNode = math.expression.node.ParenthesisNode;\n  var node0 = new ConstantNode(0);\n  var node1 = new ConstantNode(1);\n  /**\n   * simplifyCore() performs single pass simplification suitable for\n   * applications requiring ultimate performance. In contrast, simplify()\n   * extends simplifyCore() with additional passes to provide deeper\n   * simplification.\n   *\n   * Syntax:\n   *\n   *     simplify.simplifyCore(expr)\n   *\n   * Examples:\n   *\n   *     const f = math.parse('2 * 1 * x ^ (2 - 1)')\n   *     math.simplify.simpifyCore(f)                          // Node {2 * x}\n   *     math.simplify('2 * 1 * x ^ (2 - 1)', [math.simplify.simpifyCore]) // Node {2 * x}\n   *\n   * See also:\n   *\n   *     derivative\n   *\n   * @param {Node} node\n   *     The expression to be simplified\n   */\n\n  function simplifyCore(node) {\n    if (type.isOperatorNode(node) && node.isUnary()) {\n      var a0 = simplifyCore(node.args[0]);\n\n      if (node.op === '+') {\n        // unary plus\n        return a0;\n      }\n\n      if (node.op === '-') {\n        // unary minus\n        if (type.isOperatorNode(a0)) {\n          if (a0.isUnary() && a0.op === '-') {\n            return a0.args[0];\n          } else if (a0.isBinary() && a0.fn === 'subtract') {\n            return new OperatorNode('-', 'subtract', [a0.args[1], a0.args[0]]);\n          }\n        }\n\n        return new OperatorNode(node.op, node.fn, [a0]);\n      }\n    } else if (type.isOperatorNode(node) && node.isBinary()) {\n      var _a = simplifyCore(node.args[0]);\n\n      var a1 = simplifyCore(node.args[1]);\n\n      if (node.op === '+') {\n        if (type.isConstantNode(_a)) {\n          if (isZero(_a.value)) {\n            return a1;\n          } else if (type.isConstantNode(a1)) {\n            return new ConstantNode(add(_a.value, a1.value));\n          }\n        }\n\n        if (type.isConstantNode(a1) && isZero(a1.value)) {\n          return _a;\n        }\n\n        if (type.isOperatorNode(a1) && a1.isUnary() && a1.op === '-') {\n          return new OperatorNode('-', 'subtract', [_a, a1.args[0]]);\n        }\n\n        return new OperatorNode(node.op, node.fn, a1 ? [_a, a1] : [_a]);\n      } else if (node.op === '-') {\n        if (type.isConstantNode(_a) && a1) {\n          if (type.isConstantNode(a1)) {\n            return new ConstantNode(subtract(_a.value, a1.value));\n          } else if (isZero(_a.value)) {\n            return new OperatorNode('-', 'unaryMinus', [a1]);\n          }\n        } // if (node.fn === \"subtract\" && node.args.length === 2) {\n\n\n        if (node.fn === 'subtract') {\n          if (type.isConstantNode(a1) && isZero(a1.value)) {\n            return _a;\n          }\n\n          if (type.isOperatorNode(a1) && a1.isUnary() && a1.op === '-') {\n            return simplifyCore(new OperatorNode('+', 'add', [_a, a1.args[0]]));\n          }\n\n          return new OperatorNode(node.op, node.fn, [_a, a1]);\n        }\n      } else if (node.op === '*') {\n        if (type.isConstantNode(_a)) {\n          if (isZero(_a.value)) {\n            return node0;\n          } else if (equal(_a.value, 1)) {\n            return a1;\n          } else if (type.isConstantNode(a1)) {\n            return new ConstantNode(multiply(_a.value, a1.value));\n          }\n        }\n\n        if (type.isConstantNode(a1)) {\n          if (isZero(a1.value)) {\n            return node0;\n          } else if (equal(a1.value, 1)) {\n            return _a;\n          } else if (type.isOperatorNode(_a) && _a.isBinary() && _a.op === node.op) {\n            var a00 = _a.args[0];\n\n            if (type.isConstantNode(a00)) {\n              var a00a1 = new ConstantNode(multiply(a00.value, a1.value));\n              return new OperatorNode(node.op, node.fn, [a00a1, _a.args[1]], node.implicit); // constants on left\n            }\n          }\n\n          return new OperatorNode(node.op, node.fn, [a1, _a], node.implicit); // constants on left\n        }\n\n        return new OperatorNode(node.op, node.fn, [_a, a1], node.implicit);\n      } else if (node.op === '/') {\n        if (type.isConstantNode(_a)) {\n          if (isZero(_a.value)) {\n            return node0;\n          } else if (type.isConstantNode(a1) && (equal(a1.value, 1) || equal(a1.value, 2) || equal(a1.value, 4))) {\n            return new ConstantNode(divide(_a.value, a1.value));\n          }\n        }\n\n        return new OperatorNode(node.op, node.fn, [_a, a1]);\n      } else if (node.op === '^') {\n        if (type.isConstantNode(a1)) {\n          if (isZero(a1.value)) {\n            return node1;\n          } else if (equal(a1.value, 1)) {\n            return _a;\n          } else {\n            if (type.isConstantNode(_a)) {\n              // fold constant\n              return new ConstantNode(pow(_a.value, a1.value));\n            } else if (type.isOperatorNode(_a) && _a.isBinary() && _a.op === '^') {\n              var a01 = _a.args[1];\n\n              if (type.isConstantNode(a01)) {\n                return new OperatorNode(node.op, node.fn, [_a.args[0], new ConstantNode(multiply(a01.value, a1.value))]);\n              }\n            }\n          }\n        }\n\n        return new OperatorNode(node.op, node.fn, [_a, a1]);\n      }\n    } else if (type.isParenthesisNode(node)) {\n      var c = simplifyCore(node.content);\n\n      if (type.isParenthesisNode(c) || type.isSymbolNode(c) || type.isConstantNode(c)) {\n        return c;\n      }\n\n      return new ParenthesisNode(c);\n    } else if (type.isFunctionNode(node)) {\n      var args = node.args.map(simplifyCore).map(function (arg) {\n        return type.isParenthesisNode(arg) ? arg.content : arg;\n      });\n      return new FunctionNode(simplifyCore(node.fn), args);\n    } else {// cannot simplify\n    }\n\n    return node;\n  }\n\n  return simplifyCore;\n}\n\nexports.math = true;\nexports.name = 'simplifyCore';\nexports.path = 'algebra.simplify';\nexports.factory = factory;","'use strict';\n\nvar util = require('../../utils/index');\n\nvar object = util.object;\nvar string = util.string;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var subtract = load(require('../arithmetic/subtract'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var unaryMinus = load(require('../arithmetic/unaryMinus'));\n  var lup = load(require('../algebra/decomposition/lup'));\n  /**\n   * Calculate the determinant of a matrix.\n   *\n   * Syntax:\n   *\n   *    math.det(x)\n   *\n   * Examples:\n   *\n   *    math.det([[1, 2], [3, 4]]) // returns -2\n   *\n   *    const A = [\n   *      [-2, 2, 3],\n   *      [-1, 1, 3],\n   *      [2, 0, -1]\n   *    ]\n   *    math.det(A) // returns 6\n   *\n   * See also:\n   *\n   *    inv\n   *\n   * @param {Array | Matrix} x  A matrix\n   * @return {number} The determinant of `x`\n   */\n\n  var det = typed('det', {\n    'any': function any(x) {\n      return object.clone(x);\n    },\n    'Array | Matrix': function det(x) {\n      var size;\n\n      if (type.isMatrix(x)) {\n        size = x.size();\n      } else if (Array.isArray(x)) {\n        x = matrix(x);\n        size = x.size();\n      } else {\n        // a scalar\n        size = [];\n      }\n\n      switch (size.length) {\n        case 0:\n          // scalar\n          return object.clone(x);\n\n        case 1:\n          // vector\n          if (size[0] === 1) {\n            return object.clone(x.valueOf()[0]);\n          } else {\n            throw new RangeError('Matrix must be square ' + '(size: ' + string.format(size) + ')');\n          }\n\n        case 2:\n          // two dimensional array\n          var rows = size[0];\n          var cols = size[1];\n\n          if (rows === cols) {\n            return _det(x.clone().valueOf(), rows, cols);\n          } else {\n            throw new RangeError('Matrix must be square ' + '(size: ' + string.format(size) + ')');\n          }\n\n        default:\n          // multi dimensional array\n          throw new RangeError('Matrix must be two dimensional ' + '(size: ' + string.format(size) + ')');\n      }\n    }\n  });\n  det.toTex = {\n    1: \"\\\\det\\\\left(${args[0]}\\\\right)\"\n  };\n  return det;\n  /**\n   * Calculate the determinant of a matrix\n   * @param {Array[]} matrix  A square, two dimensional matrix\n   * @param {number} rows     Number of rows of the matrix (zero-based)\n   * @param {number} cols     Number of columns of the matrix (zero-based)\n   * @returns {number} det\n   * @private\n   */\n\n  function _det(matrix, rows, cols) {\n    if (rows === 1) {\n      // this is a 1 x 1 matrix\n      return object.clone(matrix[0][0]);\n    } else if (rows === 2) {\n      // this is a 2 x 2 matrix\n      // the determinant of [a11,a12;a21,a22] is det = a11*a22-a21*a12\n      return subtract(multiply(matrix[0][0], matrix[1][1]), multiply(matrix[1][0], matrix[0][1]));\n    } else {\n      // Compute the LU decomposition\n      var decomp = lup(matrix); // The determinant is the product of the diagonal entries of U (and those of L, but they are all 1)\n\n      var _det2 = decomp.U[0][0];\n\n      for (var _i = 1; _i < rows; _i++) {\n        _det2 = multiply(_det2, decomp.U[_i][_i]);\n      } // The determinant will be multiplied by 1 or -1 depending on the parity of the permutation matrix.\n      // This can be determined by counting the cycles. This is roughly a linear time algorithm.\n\n\n      var evenCycles = 0;\n      var i = 0;\n      var visited = [];\n\n      while (true) {\n        while (visited[i]) {\n          i++;\n        }\n\n        if (i >= rows) break;\n        var j = i;\n        var cycleLen = 0;\n\n        while (!visited[decomp.p[j]]) {\n          visited[decomp.p[j]] = true;\n          j = decomp.p[j];\n          cycleLen++;\n        }\n\n        if (cycleLen % 2 === 0) {\n          evenCycles++;\n        }\n      }\n\n      return evenCycles % 2 === 0 ? _det2 : unaryMinus(_det2);\n    }\n  }\n}\n\nexports.name = 'det';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var parse = load(require('../parse'));\n  /**\n   * Parse an expression. Returns a node tree, which can be evaluated by\n   * invoking node.eval().\n   *\n   * Note the evaluating arbitrary expressions may involve security risks,\n   * see [http://mathjs.org/docs/expressions/security.html](http://mathjs.org/docs/expressions/security.html) for more information.\n   *\n   * Syntax:\n   *\n   *     math.parse(expr)\n   *     math.parse(expr, options)\n   *     math.parse([expr1, expr2, expr3, ...])\n   *     math.parse([expr1, expr2, expr3, ...], options)\n   *\n   * Example:\n   *\n   *     const node1 = math.parse('sqrt(3^2 + 4^2)')\n   *     node1.compile().eval() // 5\n   *\n   *     let scope = {a:3, b:4}\n   *     const node2 = math.parse('a * b') // 12\n   *     const code2 = node2.compile()\n   *     code2.eval(scope) // 12\n   *     scope.a = 5\n   *     code2.eval(scope) // 20\n   *\n   *     const nodes = math.parse(['a = 3', 'b = 4', 'a * b'])\n   *     nodes[2].compile().eval() // 12\n   *\n   * See also:\n   *\n   *     eval, compile\n   *\n   * @param {string | string[] | Matrix} expr          Expression to be parsed\n   * @param {{nodes: Object<string, Node>}} [options]  Available options:\n   *                                                   - `nodes` a set of custom nodes\n   * @return {Node | Node[]} node\n   * @throws {Error}\n   */\n\n  return typed('parse', {\n    'string | Array | Matrix': parse,\n    'string | Array | Matrix, Object': parse\n  });\n}\n\nexports.name = 'parse';\nexports.factory = factory;","'use strict';\n\nvar nearlyEqual = require('../../utils/number').nearlyEqual;\n\nvar bigNearlyEqual = require('../../utils/bignumber/nearlyEqual');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm07 = load(require('../../type/matrix/utils/algorithm07'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n\n  var latex = require('../../utils/latex');\n  /**\n   * Test whether two values are unequal.\n   *\n   * The function tests whether the relative difference between x and y is\n   * larger than the configured epsilon. The function cannot be used to compare\n   * values smaller than approximately 2.22e-16.\n   *\n   * For matrices, the function is evaluated element wise.\n   * In case of complex numbers, x.re must unequal y.re, or x.im must unequal y.im.\n   * Strings are compared by their numerical value.\n   *\n   * Values `null` and `undefined` are compared strictly, thus `null` is unequal\n   * with everything except `null`, and `undefined` is unequal with everything\n   * except `undefined`.\n   *\n   * Syntax:\n   *\n   *    math.unequal(x, y)\n   *\n   * Examples:\n   *\n   *    math.unequal(2 + 2, 3)       // returns true\n   *    math.unequal(2 + 2, 4)       // returns false\n   *\n   *    const a = math.unit('50 cm')\n   *    const b = math.unit('5 m')\n   *    math.unequal(a, b)           // returns false\n   *\n   *    const c = [2, 5, 1]\n   *    const d = [2, 7, 1]\n   *\n   *    math.unequal(c, d)           // returns [false, true, false]\n   *    math.deepEqual(c, d)         // returns false\n   *\n   *    math.unequal(0, null)        // returns true\n   * See also:\n   *\n   *    equal, deepEqual, smaller, smallerEq, larger, largerEq, compare\n   *\n   * @param  {number | BigNumber | Fraction | boolean | Complex | Unit | string | Array | Matrix | undefined} x First value to compare\n   * @param  {number | BigNumber | Fraction | boolean | Complex | Unit | string | Array | Matrix | undefined} y Second value to compare\n   * @return {boolean | Array | Matrix} Returns true when the compared values are unequal, else returns false\n   */\n\n\n  var unequal = typed('unequal', {\n    'any, any': function anyAny(x, y) {\n      // strict equality for null and undefined?\n      if (x === null) {\n        return y !== null;\n      }\n\n      if (y === null) {\n        return x !== null;\n      }\n\n      if (x === undefined) {\n        return y !== undefined;\n      }\n\n      if (y === undefined) {\n        return x !== undefined;\n      }\n\n      return _unequal(x, y);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm07(x, y, _unequal);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, _unequal, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, _unequal, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, _unequal);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return unequal(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return unequal(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return unequal(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm12(x, y, _unequal, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, _unequal, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, _unequal, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, _unequal, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, _unequal, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, _unequal, true).valueOf();\n    }\n  });\n\n  var _unequal = typed('_unequal', {\n    'boolean, boolean': function booleanBoolean(x, y) {\n      return x !== y;\n    },\n    'number, number': function numberNumber(x, y) {\n      return !nearlyEqual(x, y, config.epsilon);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return !bigNearlyEqual(x, y, config.epsilon);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return !x.equals(y);\n    },\n    'Complex, Complex': function ComplexComplex(x, y) {\n      return !x.equals(y);\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      if (!x.equalBase(y)) {\n        throw new Error('Cannot compare units with different base');\n      }\n\n      return unequal(x.value, y.value);\n    }\n  });\n\n  unequal.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['unequal'], \"${args[1]}\\\\right)\")\n  };\n  return unequal;\n}\n\nexports.name = 'unequal';\nexports.factory = factory;","'use strict';\n\nvar number = require('../../utils/number');\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Compute the sign of a value. The sign of a value x is:\n   *\n   * -  1 when x > 0\n   * - -1 when x < 0\n   * -  0 when x == 0\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.sign(x)\n   *\n   * Examples:\n   *\n   *    math.sign(3.5)               // returns 1\n   *    math.sign(-4.2)              // returns -1\n   *    math.sign(0)                 // returns 0\n   *\n   *    math.sign([3, 5, -2, 0, 2])  // returns [1, 1, -1, 0, 1]\n   *\n   * See also:\n   *\n   *    abs\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Array | Matrix | Unit} x\n   *            The number for which to determine the sign\n   * @return {number | BigNumber | Fraction | Complex | Array | Matrix | Unit}e\n   *            The sign of `x`\n   */\n  var sign = typed('sign', {\n    'number': number.sign,\n    'Complex': function Complex(x) {\n      return x.sign();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(x.cmp(0));\n    },\n    'Fraction': function Fraction(x) {\n      return new type.Fraction(x.s, 1);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since sign(0) = 0\n      return deepMap(x, sign, true);\n    },\n    'Unit': function Unit(x) {\n      return sign(x.value);\n    }\n  });\n  sign.toTex = {\n    1: \"\\\\mathrm{${name}}\\\\left(${args[0]}\\\\right)\"\n  };\n  return sign;\n}\n\nexports.name = 'sign';\nexports.factory = factory;","'use strict';\n\nvar util = require('../../../utils/index');\n\nvar number = util.number;\nvar isInteger = number.isInteger;\n\nfunction factory(type, config, load, typed) {\n  var csSqr = load(require('../../algebra/sparse/csSqr'));\n  var csLu = load(require('../../algebra/sparse/csLu'));\n  /**\n   * Calculate the Sparse Matrix LU decomposition with full pivoting. Sparse Matrix `A` is decomposed in two matrices (`L`, `U`) and two permutation vectors (`pinv`, `q`) where\n   *\n   * `P * A * Q = L * U`\n   *\n   * Syntax:\n   *\n   *    math.slu(A, order, threshold)\n   *\n   * Examples:\n   *\n   *    const A = math.sparse([[4,3], [6, 3]])\n   *    math.slu(A, 1, 0.001)\n   *    // returns:\n   *    // {\n   *    //   L: [[1, 0], [1.5, 1]]\n   *    //   U: [[4, 3], [0, -1.5]]\n   *    //   p: [0, 1]\n   *    //   q: [0, 1]\n   *    // }\n   *\n   * See also:\n   *\n   *    lup, lsolve, usolve, lusolve\n   *\n   * @param {SparseMatrix} A              A two dimensional sparse matrix for which to get the LU decomposition.\n   * @param {Number}       order          The Symbolic Ordering and Analysis order:\n   *                                       0 - Natural ordering, no permutation vector q is returned\n   *                                       1 - Matrix must be square, symbolic ordering and analisis is performed on M = A + A'\n   *                                       2 - Symbolic ordering and analisis is performed on M = A' * A. Dense columns from A' are dropped, A recreated from A'.\n   *                                           This is appropriatefor LU factorization of unsymmetric matrices.\n   *                                       3 - Symbolic ordering and analisis is performed on M = A' * A. This is best used for LU factorization is matrix M has no dense rows.\n   *                                           A dense row is a row with more than 10*sqr(columns) entries.\n   * @param {Number}       threshold       Partial pivoting threshold (1 for partial pivoting)\n   *\n   * @return {Object} The lower triangular matrix, the upper triangular matrix and the permutation vectors.\n   */\n\n  var slu = typed('slu', {\n    'SparseMatrix, number, number': function SparseMatrixNumberNumber(a, order, threshold) {\n      // verify order\n      if (!isInteger(order) || order < 0 || order > 3) {\n        throw new Error('Symbolic Ordering and Analysis order must be an integer number in the interval [0, 3]');\n      } // verify threshold\n\n\n      if (threshold < 0 || threshold > 1) {\n        throw new Error('Partial pivoting threshold must be a number from 0 to 1');\n      } // perform symbolic ordering and analysis\n\n\n      var s = csSqr(order, a, false); // perform lu decomposition\n\n      var f = csLu(a, s, threshold); // return decomposition\n\n      return {\n        L: f.L,\n        U: f.U,\n        p: f.pinv,\n        q: s.q,\n        toString: function toString() {\n          return 'L: ' + this.L.toString() + '\\nU: ' + this.U.toString() + '\\np: ' + this.p.toString() + (this.q ? '\\nq: ' + this.q.toString() : '') + '\\n';\n        }\n      };\n    }\n  });\n  return slu;\n}\n\nexports.name = 'slu';\nexports.factory = factory;","'use strict';\n\nfunction factory() {\n  /**\n   * Depth-first search and postorder of a tree rooted at node j\n   *\n   * @param {Number}  j               The tree node\n   * @param {Number}  k\n   * @param {Array}   w               The workspace array\n   * @param {Number}  head            The index offset within the workspace for the head array\n   * @param {Number}  next            The index offset within the workspace for the next array\n   * @param {Array}   post            The post ordering array\n   * @param {Number}  stack           The index offset within the workspace for the stack array\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n  var csTdfs = function csTdfs(j, k, w, head, next, post, stack) {\n    // variables\n    var top = 0; // place j on the stack\n\n    w[stack] = j; // while (stack is not empty)\n\n    while (top >= 0) {\n      // p = top of stack\n      var p = w[stack + top]; // i = youngest child of p\n\n      var i = w[head + p];\n\n      if (i === -1) {\n        // p has no unordered children left\n        top--; // node p is the kth postordered node\n\n        post[k++] = p;\n      } else {\n        // remove i from children of p\n        w[head + p] = w[next + i]; // increment top\n\n        ++top; // start dfs on child node i\n\n        w[stack + top] = i;\n      }\n    }\n\n    return k;\n  };\n\n  return csTdfs;\n}\n\nexports.name = 'csTdfs';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nvar nearlyEqual = require('../../utils/number').nearlyEqual;\n\nvar bigNearlyEqual = require('../../utils/bignumber/nearlyEqual');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm07 = load(require('../../type/matrix/utils/algorithm07'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n\n  var latex = require('../../utils/latex');\n  /**\n   * Test whether value x is larger or equal to y.\n   *\n   * The function returns true when x is larger than y or the relative\n   * difference between x and y is smaller than the configured epsilon. The\n   * function cannot be used to compare values smaller than approximately 2.22e-16.\n   *\n   * For matrices, the function is evaluated element wise.\n   * Strings are compared by their numerical value.\n   *\n   * Syntax:\n   *\n   *    math.largerEq(x, y)\n   *\n   * Examples:\n   *\n   *    math.larger(2, 1 + 1)         // returns false\n   *    math.largerEq(2, 1 + 1)       // returns true\n   *\n   * See also:\n   *\n   *    equal, unequal, smaller, smallerEq, larger, compare\n   *\n   * @param  {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} x First value to compare\n   * @param  {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} y Second value to compare\n   * @return {boolean | Array | Matrix} Returns true when the x is larger or equal to y, else returns false\n   */\n\n\n  var largerEq = typed('largerEq', {\n    'boolean, boolean': function booleanBoolean(x, y) {\n      return x >= y;\n    },\n    'number, number': function numberNumber(x, y) {\n      return x >= y || nearlyEqual(x, y, config.epsilon);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return x.gte(y) || bigNearlyEqual(x, y, config.epsilon);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.compare(y) !== -1;\n    },\n    'Complex, Complex': function ComplexComplex() {\n      throw new TypeError('No ordering relation is defined for complex numbers');\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      if (!x.equalBase(y)) {\n        throw new Error('Cannot compare units with different base');\n      }\n\n      return largerEq(x.value, y.value);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm07(x, y, largerEq);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, largerEq, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, largerEq, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, largerEq);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return largerEq(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return largerEq(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return largerEq(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm12(x, y, largerEq, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, largerEq, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, largerEq, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, largerEq, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, largerEq, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, largerEq, true).valueOf();\n    }\n  });\n  largerEq.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['largerEq'], \"${args[1]}\\\\right)\")\n  };\n  return largerEq;\n}\n\nexports.name = 'largerEq';\nexports.factory = factory;","'use strict';\n\nfunction factory() {\n  /**\n   * Checks if the node at w[j] is marked\n   *\n   * @param {Array}   w               The array\n   * @param {Number}  j               The array index\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n  var csMarked = function csMarked(w, j) {\n    // check node is marked\n    return w[j] < 0;\n  };\n\n  return csMarked;\n}\n\nexports.name = 'csMarked';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load) {\n  var csFlip = load(require('./csFlip'));\n  /**\n   * Marks the node at w[j]\n   *\n   * @param {Array}   w               The array\n   * @param {Number}  j               The array index\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csMark = function csMark(w, j) {\n    // mark w[j]\n    w[j] = csFlip(w[j]);\n  };\n\n  return csMark;\n}\n\nexports.name = 'csMark';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../../type/matrix/function/matrix'));\n  var divideScalar = load(require('../../arithmetic/divideScalar'));\n  var multiplyScalar = load(require('../../arithmetic/multiplyScalar'));\n  var subtract = load(require('../../arithmetic/subtract'));\n  var equalScalar = load(require('../../relational/equalScalar'));\n  var solveValidation = load(require('./utils/solveValidation'));\n  var DenseMatrix = type.DenseMatrix;\n  /**\n   * Solves the linear equation system by forwards substitution. Matrix must be a lower triangular matrix.\n   *\n   * `L * x = b`\n   *\n   * Syntax:\n   *\n   *    math.lsolve(L, b)\n   *\n   * Examples:\n   *\n   *    const a = [[-2, 3], [2, 1]]\n   *    const b = [11, 9]\n   *    const x = lsolve(a, b)  // [[-5.5], [20]]\n   *\n   * See also:\n   *\n   *    lup, slu, usolve, lusolve\n   *\n   * @param {Matrix, Array} L       A N x N matrix or array (L)\n   * @param {Matrix, Array} b       A column vector with the b values\n   *\n   * @return {DenseMatrix | Array}  A column vector with the linear system solution (x)\n   */\n\n  var lsolve = typed('lsolve', {\n    'SparseMatrix, Array | Matrix': function SparseMatrixArrayMatrix(m, b) {\n      // process matrix\n      return _sparseForwardSubstitution(m, b);\n    },\n    'DenseMatrix, Array | Matrix': function DenseMatrixArrayMatrix(m, b) {\n      // process matrix\n      return _denseForwardSubstitution(m, b);\n    },\n    'Array, Array | Matrix': function ArrayArrayMatrix(a, b) {\n      // create dense matrix from array\n      var m = matrix(a); // use matrix implementation\n\n      var r = _denseForwardSubstitution(m, b); // result\n\n\n      return r.valueOf();\n    }\n  });\n\n  function _denseForwardSubstitution(m, b) {\n    // validate matrix and vector, return copy of column vector b\n    b = solveValidation(m, b, true); // column vector data\n\n    var bdata = b._data; // rows & columns\n\n    var rows = m._size[0];\n    var columns = m._size[1]; // result\n\n    var x = []; // data\n\n    var data = m._data; // forward solve m * x = b, loop columns\n\n    for (var j = 0; j < columns; j++) {\n      // b[j]\n      var bj = bdata[j][0] || 0; // x[j]\n\n      var xj = void 0; // forward substitution (outer product) avoids inner looping when bj === 0\n\n      if (!equalScalar(bj, 0)) {\n        // value @ [j, j]\n        var vjj = data[j][j]; // check vjj\n\n        if (equalScalar(vjj, 0)) {\n          // system cannot be solved\n          throw new Error('Linear system cannot be solved since matrix is singular');\n        } // calculate xj\n\n\n        xj = divideScalar(bj, vjj); // loop rows\n\n        for (var i = j + 1; i < rows; i++) {\n          // update copy of b\n          bdata[i] = [subtract(bdata[i][0] || 0, multiplyScalar(xj, data[i][j]))];\n        }\n      } else {\n        // zero @ j\n        xj = 0;\n      } // update x\n\n\n      x[j] = [xj];\n    } // return vector\n\n\n    return new DenseMatrix({\n      data: x,\n      size: [rows, 1]\n    });\n  }\n\n  function _sparseForwardSubstitution(m, b) {\n    // validate matrix and vector, return copy of column vector b\n    b = solveValidation(m, b, true); // column vector data\n\n    var bdata = b._data; // rows & columns\n\n    var rows = m._size[0];\n    var columns = m._size[1]; // matrix arrays\n\n    var values = m._values;\n    var index = m._index;\n    var ptr = m._ptr; // vars\n\n    var i, k; // result\n\n    var x = []; // forward solve m * x = b, loop columns\n\n    for (var j = 0; j < columns; j++) {\n      // b[j]\n      var bj = bdata[j][0] || 0; // forward substitution (outer product) avoids inner looping when bj === 0\n\n      if (!equalScalar(bj, 0)) {\n        // value @ [j, j]\n        var vjj = 0; // lower triangular matrix values & index (column j)\n\n        var jvalues = [];\n        var jindex = []; // last index in column\n\n        var l = ptr[j + 1]; // values in column, find value @ [j, j]\n\n        for (k = ptr[j]; k < l; k++) {\n          // row\n          i = index[k]; // check row (rows are not sorted!)\n\n          if (i === j) {\n            // update vjj\n            vjj = values[k];\n          } else if (i > j) {\n            // store lower triangular\n            jvalues.push(values[k]);\n            jindex.push(i);\n          }\n        } // at this point we must have a value @ [j, j]\n\n\n        if (equalScalar(vjj, 0)) {\n          // system cannot be solved, there is no value @ [j, j]\n          throw new Error('Linear system cannot be solved since matrix is singular');\n        } // calculate xj\n\n\n        var xj = divideScalar(bj, vjj); // loop lower triangular\n\n        for (k = 0, l = jindex.length; k < l; k++) {\n          // row\n          i = jindex[k]; // update copy of b\n\n          bdata[i] = [subtract(bdata[i][0] || 0, multiplyScalar(xj, jvalues[k]))];\n        } // update x\n\n\n        x[j] = [xj];\n      } else {\n        // update x\n        x[j] = [0];\n      }\n    } // return vector\n\n\n    return new DenseMatrix({\n      data: x,\n      size: [rows, 1]\n    });\n  }\n\n  return lsolve;\n}\n\nexports.name = 'lsolve';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../../type/matrix/function/matrix'));\n  var divideScalar = load(require('../../arithmetic/divideScalar'));\n  var multiplyScalar = load(require('../../arithmetic/multiplyScalar'));\n  var subtract = load(require('../../arithmetic/subtract'));\n  var equalScalar = load(require('../../relational/equalScalar'));\n  var solveValidation = load(require('./utils/solveValidation'));\n  var DenseMatrix = type.DenseMatrix;\n  /**\n   * Solves the linear equation system by backward substitution. Matrix must be an upper triangular matrix.\n   *\n   * `U * x = b`\n   *\n   * Syntax:\n   *\n   *    math.usolve(U, b)\n   *\n   * Examples:\n   *\n   *    const a = [[-2, 3], [2, 1]]\n   *    const b = [11, 9]\n   *    const x = usolve(a, b)  // [[8], [9]]\n   *\n   * See also:\n   *\n   *    lup, slu, usolve, lusolve\n   *\n   * @param {Matrix, Array} U       A N x N matrix or array (U)\n   * @param {Matrix, Array} b       A column vector with the b values\n   *\n   * @return {DenseMatrix | Array}  A column vector with the linear system solution (x)\n   */\n\n  var usolve = typed('usolve', {\n    'SparseMatrix, Array | Matrix': function SparseMatrixArrayMatrix(m, b) {\n      // process matrix\n      return _sparseBackwardSubstitution(m, b);\n    },\n    'DenseMatrix, Array | Matrix': function DenseMatrixArrayMatrix(m, b) {\n      // process matrix\n      return _denseBackwardSubstitution(m, b);\n    },\n    'Array, Array | Matrix': function ArrayArrayMatrix(a, b) {\n      // create dense matrix from array\n      var m = matrix(a); // use matrix implementation\n\n      var r = _denseBackwardSubstitution(m, b); // result\n\n\n      return r.valueOf();\n    }\n  });\n\n  function _denseBackwardSubstitution(m, b) {\n    // validate matrix and vector, return copy of column vector b\n    b = solveValidation(m, b, true); // column vector data\n\n    var bdata = b._data; // rows & columns\n\n    var rows = m._size[0];\n    var columns = m._size[1]; // result\n\n    var x = []; // arrays\n\n    var data = m._data; // backward solve m * x = b, loop columns (backwards)\n\n    for (var j = columns - 1; j >= 0; j--) {\n      // b[j]\n      var bj = bdata[j][0] || 0; // x[j]\n\n      var xj = void 0; // backward substitution (outer product) avoids inner looping when bj === 0\n\n      if (!equalScalar(bj, 0)) {\n        // value @ [j, j]\n        var vjj = data[j][j]; // check vjj\n\n        if (equalScalar(vjj, 0)) {\n          // system cannot be solved\n          throw new Error('Linear system cannot be solved since matrix is singular');\n        } // calculate xj\n\n\n        xj = divideScalar(bj, vjj); // loop rows\n\n        for (var i = j - 1; i >= 0; i--) {\n          // update copy of b\n          bdata[i] = [subtract(bdata[i][0] || 0, multiplyScalar(xj, data[i][j]))];\n        }\n      } else {\n        // zero value @ j\n        xj = 0;\n      } // update x\n\n\n      x[j] = [xj];\n    } // return column vector\n\n\n    return new DenseMatrix({\n      data: x,\n      size: [rows, 1]\n    });\n  }\n\n  function _sparseBackwardSubstitution(m, b) {\n    // validate matrix and vector, return copy of column vector b\n    b = solveValidation(m, b, true); // column vector data\n\n    var bdata = b._data; // rows & columns\n\n    var rows = m._size[0];\n    var columns = m._size[1]; // matrix arrays\n\n    var values = m._values;\n    var index = m._index;\n    var ptr = m._ptr; // vars\n\n    var i, k; // result\n\n    var x = []; // backward solve m * x = b, loop columns (backwards)\n\n    for (var j = columns - 1; j >= 0; j--) {\n      // b[j]\n      var bj = bdata[j][0] || 0; // backward substitution (outer product) avoids inner looping when bj === 0\n\n      if (!equalScalar(bj, 0)) {\n        // value @ [j, j]\n        var vjj = 0; // upper triangular matrix values & index (column j)\n\n        var jvalues = [];\n        var jindex = []; // first & last indeces in column\n\n        var f = ptr[j];\n        var l = ptr[j + 1]; // values in column, find value @ [j, j], loop backwards\n\n        for (k = l - 1; k >= f; k--) {\n          // row\n          i = index[k]; // check row\n\n          if (i === j) {\n            // update vjj\n            vjj = values[k];\n          } else if (i < j) {\n            // store upper triangular\n            jvalues.push(values[k]);\n            jindex.push(i);\n          }\n        } // at this point we must have a value @ [j, j]\n\n\n        if (equalScalar(vjj, 0)) {\n          // system cannot be solved, there is no value @ [j, j]\n          throw new Error('Linear system cannot be solved since matrix is singular');\n        } // calculate xj\n\n\n        var xj = divideScalar(bj, vjj); // loop upper triangular\n\n        for (k = 0, l = jindex.length; k < l; k++) {\n          // row\n          i = jindex[k]; // update copy of b\n\n          bdata[i] = [subtract(bdata[i][0], multiplyScalar(xj, jvalues[k]))];\n        } // update x\n\n\n        x[j] = [xj];\n      } else {\n        // update x\n        x[j] = [0];\n      }\n    } // return vector\n\n\n    return new DenseMatrix({\n      data: x,\n      size: [rows, 1]\n    });\n  }\n\n  return usolve;\n}\n\nexports.name = 'usolve';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var divideScalar = load(require('./divideScalar'));\n\n  var latex = require('../../utils/latex');\n\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm07 = load(require('../../type/matrix/utils/algorithm07'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Divide two matrices element wise. The function accepts both matrices and\n   * scalar values.\n   *\n   * Syntax:\n   *\n   *    math.dotDivide(x, y)\n   *\n   * Examples:\n   *\n   *    math.dotDivide(2, 4)   // returns 0.5\n   *\n   *    a = [[9, 5], [6, 1]]\n   *    b = [[3, 2], [5, 2]]\n   *\n   *    math.dotDivide(a, b)   // returns [[3, 2.5], [1.2, 0.5]]\n   *    math.divide(a, b)      // returns [[1.75, 0.75], [-1.75, 2.25]]\n   *\n   * See also:\n   *\n   *    divide, multiply, dotMultiply\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x Numerator\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} y Denominator\n   * @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix}                    Quotient, `x ./ y`\n   */\n\n  var dotDivide = typed('dotDivide', {\n    'any, any': divideScalar,\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm07(x, y, divideScalar, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm02(y, x, divideScalar, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, divideScalar, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, divideScalar);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return dotDivide(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return dotDivide(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return dotDivide(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm11(x, y, divideScalar, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, divideScalar, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, divideScalar, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, divideScalar, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, divideScalar, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, divideScalar, true).valueOf();\n    }\n  });\n  dotDivide.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['dotDivide'], \"${args[1]}\\\\right)\")\n  };\n  return dotDivide;\n}\n\nexports.name = 'dotDivide';\nexports.factory = factory;","'use strict';\n\nvar DimensionError = require('../../../error/DimensionError');\n\nfunction factory(type, config, load, typed) {\n  var equalScalar = load(require('../../../function/relational/equalScalar'));\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Iterates over SparseMatrix A and invokes the callback function f(Aij, Bij).\n   * Callback function invoked NZA times, number of nonzero elements in A.\n   *\n   *\n   *          ┌  f(Aij, Bij)  ; A(i,j) !== 0\n   * C(i,j) = ┤\n   *          └  0            ; otherwise\n   *\n   *\n   * @param {Matrix}   a                 The SparseMatrix instance (A)\n   * @param {Matrix}   b                 The SparseMatrix instance (B)\n   * @param {Function} callback          The f(Aij,Bij) operation to invoke\n   *\n   * @return {Matrix}                    SparseMatrix (C)\n   *\n   * see https://github.com/josdejong/mathjs/pull/346#issuecomment-97620294\n   */\n\n  var algorithm09 = function algorithm09(a, b, callback) {\n    // sparse matrix arrays\n    var avalues = a._values;\n    var aindex = a._index;\n    var aptr = a._ptr;\n    var asize = a._size;\n    var adt = a._datatype; // sparse matrix arrays\n\n    var bvalues = b._values;\n    var bindex = b._index;\n    var bptr = b._ptr;\n    var bsize = b._size;\n    var bdt = b._datatype; // validate dimensions\n\n    if (asize.length !== bsize.length) {\n      throw new DimensionError(asize.length, bsize.length);\n    } // check rows & columns\n\n\n    if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) {\n      throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')');\n    } // rows & columns\n\n\n    var rows = asize[0];\n    var columns = asize[1]; // datatype\n\n    var dt; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0; // callback signature to use\n\n    var cf = callback; // process data types\n\n    if (typeof adt === 'string' && adt === bdt) {\n      // datatype\n      dt = adt; // find signature that matches (dt, dt)\n\n      eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype\n\n      zero = typed.convert(0, dt); // callback\n\n      cf = typed.find(callback, [dt, dt]);\n    } // result arrays\n\n\n    var cvalues = avalues && bvalues ? [] : undefined;\n    var cindex = [];\n    var cptr = []; // matrix\n\n    var c = new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [rows, columns],\n      datatype: dt\n    }); // workspaces\n\n    var x = cvalues ? [] : undefined; // marks indicating we have a value in x for a given column\n\n    var w = []; // vars\n\n    var i, j, k, k0, k1; // loop columns\n\n    for (j = 0; j < columns; j++) {\n      // update cptr\n      cptr[j] = cindex.length; // column mark\n\n      var mark = j + 1; // check we need to process values\n\n      if (x) {\n        // loop B(:,j)\n        for (k0 = bptr[j], k1 = bptr[j + 1], k = k0; k < k1; k++) {\n          // row\n          i = bindex[k]; // update workspace\n\n          w[i] = mark;\n          x[i] = bvalues[k];\n        }\n      } // loop A(:,j)\n\n\n      for (k0 = aptr[j], k1 = aptr[j + 1], k = k0; k < k1; k++) {\n        // row\n        i = aindex[k]; // check we need to process values\n\n        if (x) {\n          // b value @ i,j\n          var vb = w[i] === mark ? x[i] : zero; // invoke f\n\n          var vc = cf(avalues[k], vb); // check zero value\n\n          if (!eq(vc, zero)) {\n            // push index\n            cindex.push(i); // push value\n\n            cvalues.push(vc);\n          }\n        } else {\n          // push index\n          cindex.push(i);\n        }\n      }\n    } // update cptr\n\n\n    cptr[columns] = cindex.length; // return sparse matrix\n\n    return c;\n  };\n\n  return algorithm09;\n}\n\nexports.name = 'algorithm09';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/add'));\n  var subtract = load(require('../arithmetic/subtract'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var divide = load(require('../arithmetic/divide'));\n  var pow = load(require('../arithmetic/pow'));\n  var factorial = load(require('../probability/factorial'));\n  var combinations = load(require('../probability/combinations'));\n  var isNegative = load(require('../utils/isNegative'));\n  var isInteger = load(require('../utils/isInteger'));\n  var larger = load(require('../relational/larger'));\n  /**\n   * The Stirling numbers of the second kind, counts the number of ways to partition\n   * a set of n labelled objects into k nonempty unlabelled subsets.\n   * stirlingS2 only takes integer arguments.\n   * The following condition must be enforced: k <= n.\n   *\n   *  If n = k or k = 1, then s(n,k) = 1\n   *\n   * Syntax:\n   *\n   *   math.stirlingS2(n, k)\n   *\n   * Examples:\n   *\n   *    math.stirlingS2(5, 3) //returns 25\n   *\n   * See also:\n   *\n   *    bellNumbers\n   *\n   * @param {Number | BigNumber} n    Total number of objects in the set\n   * @param {Number | BigNumber} k    Number of objects in the subset\n   * @return {Number | BigNumber}     S(n,k)\n   */\n\n  var stirlingS2 = typed('stirlingS2', {\n    'number | BigNumber, number | BigNumber': function numberBigNumberNumberBigNumber(n, k) {\n      if (!isInteger(n) || isNegative(n) || !isInteger(k) || isNegative(k)) {\n        throw new TypeError('Non-negative integer value expected in function stirlingS2');\n      } else if (larger(k, n)) {\n        throw new TypeError('k must be less than or equal to n in function stirlingS2');\n      } // 1/k! Sum(i=0 -> k) [(-1)^(k-i)*C(k,j)* i^n]\n\n\n      var kFactorial = factorial(k);\n      var result = 0;\n\n      for (var i = 0; i <= k; i++) {\n        var negativeOne = pow(-1, subtract(k, i));\n        var kChooseI = combinations(k, i);\n        var iPower = pow(i, n);\n        result = add(result, multiply(multiply(kChooseI, iPower), negativeOne));\n      }\n\n      return divide(result, kFactorial);\n    }\n  });\n  stirlingS2.toTex = {\n    2: \"\\\\mathrm{S}\\\\left(${args}\\\\right)\"\n  };\n  return stirlingS2;\n}\n\nexports.name = 'stirlingS2';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type, config, load, typed) {\n  var multiply = load(require('../arithmetic/multiply'));\n  var pow = load(require('../arithmetic/pow'));\n\n  var product = require('./product');\n  /**\n   * Compute the gamma function of a value using Lanczos approximation for\n   * small values, and an extended Stirling approximation for large values.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.gamma(n)\n   *\n   * Examples:\n   *\n   *    math.gamma(5)       // returns 24\n   *    math.gamma(-0.5)    // returns -3.5449077018110335\n   *    math.gamma(math.i)  // returns -0.15494982830180973 - 0.49801566811835596i\n   *\n   * See also:\n   *\n   *    combinations, factorial, permutations\n   *\n   * @param {number | Array | Matrix} n   A real or complex number\n   * @return {number | Array | Matrix}    The gamma of `n`\n   */\n\n\n  var gamma = typed('gamma', {\n    'number': function number(n) {\n      var t, x;\n\n      if (isInteger(n)) {\n        if (n <= 0) {\n          return isFinite(n) ? Infinity : NaN;\n        }\n\n        if (n > 171) {\n          return Infinity; // Will overflow\n        }\n\n        return product(1, n - 1);\n      }\n\n      if (n < 0.5) {\n        return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n));\n      }\n\n      if (n >= 171.35) {\n        return Infinity; // will overflow\n      }\n\n      if (n > 85.0) {\n        // Extended Stirling Approx\n        var twoN = n * n;\n        var threeN = twoN * n;\n        var fourN = threeN * n;\n        var fiveN = fourN * n;\n        return Math.sqrt(2 * Math.PI / n) * Math.pow(n / Math.E, n) * (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) - 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) + 5246819 / (75246796800 * fiveN * n));\n      }\n\n      --n;\n      x = p[0];\n\n      for (var i = 1; i < p.length; ++i) {\n        x += p[i] / (n + i);\n      }\n\n      t = n + g + 0.5;\n      return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x;\n    },\n    'Complex': function Complex(n) {\n      var t, x;\n\n      if (n.im === 0) {\n        return gamma(n.re);\n      }\n\n      n = new type.Complex(n.re - 1, n.im);\n      x = new type.Complex(p[0], 0);\n\n      for (var i = 1; i < p.length; ++i) {\n        var real = n.re + i; // x += p[i]/(n+i)\n\n        var den = real * real + n.im * n.im;\n\n        if (den !== 0) {\n          x.re += p[i] * real / den;\n          x.im += -(p[i] * n.im) / den;\n        } else {\n          x.re = p[i] < 0 ? -Infinity : Infinity;\n        }\n      }\n\n      t = new type.Complex(n.re + g + 0.5, n.im);\n      var twoPiSqrt = Math.sqrt(2 * Math.PI);\n      n.re += 0.5;\n      var result = pow(t, n);\n\n      if (result.im === 0) {\n        // sqrt(2*PI)*result\n        result.re *= twoPiSqrt;\n      } else if (result.re === 0) {\n        result.im *= twoPiSqrt;\n      } else {\n        result.re *= twoPiSqrt;\n        result.im *= twoPiSqrt;\n      }\n\n      var r = Math.exp(-t.re); // exp(-t)\n\n      t.re = r * Math.cos(-t.im);\n      t.im = r * Math.sin(-t.im);\n      return multiply(multiply(result, t), x);\n    },\n    'BigNumber': function BigNumber(n) {\n      if (n.isInteger()) {\n        return n.isNegative() || n.isZero() ? new type.BigNumber(Infinity) : bigFactorial(n.minus(1));\n      }\n\n      if (!n.isFinite()) {\n        return new type.BigNumber(n.isNegative() ? NaN : Infinity);\n      }\n\n      throw new Error('Integer BigNumber expected');\n    },\n    'Array | Matrix': function ArrayMatrix(n) {\n      return deepMap(n, gamma);\n    }\n  });\n  /**\n   * Calculate factorial for a BigNumber\n   * @param {BigNumber} n\n   * @returns {BigNumber} Returns the factorial of n\n   */\n\n  function bigFactorial(n) {\n    if (n.isZero()) {\n      return new type.BigNumber(1); // 0! is per definition 1\n    }\n\n    var precision = config.precision + (Math.log(n.toNumber()) | 0);\n    var Big = type.BigNumber.clone({\n      precision: precision\n    });\n    var res = new Big(n);\n    var value = n.toNumber() - 1; // number\n\n    while (value > 1) {\n      res = res.times(value);\n      value--;\n    }\n\n    return new type.BigNumber(res.toPrecision(type.BigNumber.precision));\n  }\n\n  gamma.toTex = {\n    1: \"\\\\Gamma\\\\left(${args[0]}\\\\right)\"\n  };\n  return gamma;\n} // TODO: comment on the variables g and p\n\n\nvar g = 4.7421875;\nvar p = [0.99999999999999709182, 57.156235665862923517, -59.597960355475491248, 14.136097974741747174, -0.49191381609762019978, 0.33994649984811888699e-4, 0.46523628927048575665e-4, -0.98374475304879564677e-4, 0.15808870322491248884e-3, -0.21026444172410488319e-3, 0.21743961811521264320e-3, -0.16431810653676389022e-3, 0.84418223983852743293e-4, -0.26190838401581408670e-4, 0.36899182659531622704e-5];\nexports.name = 'gamma';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n  /**\n   * Logical `not`. Flips boolean value of a given parameter.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.not(x)\n   *\n   * Examples:\n   *\n   *    math.not(2)      // returns false\n   *    math.not(0)      // returns true\n   *    math.not(true)   // returns false\n   *\n   *    a = [2, -7, 0]\n   *    math.not(a)      // returns [false, false, true]\n   *\n   * See also:\n   *\n   *    and, or, xor\n   *\n   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} x First value to check\n   * @return {boolean | Array | Matrix}\n   *            Returns true when input is a zero or empty value.\n   */\n\n\n  var not = typed('not', {\n    'number': function number(x) {\n      return !x;\n    },\n    'Complex': function Complex(x) {\n      return x.re === 0 && x.im === 0;\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.isZero() || x.isNaN();\n    },\n    'Unit': function Unit(x) {\n      return x.value !== null ? not(x.value) : true;\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, not);\n    }\n  });\n  not.toTex = {\n    1: latex.operators['not'] + \"\\\\left(${args[0]}\\\\right)\"\n  };\n  return not;\n}\n\nexports.name = 'not';\nexports.factory = factory;","'use strict';\n\nvar maxArgumentCount = require('../../utils/function').maxArgumentCount;\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create a new matrix or array with the results of the callback function executed on\n   * each entry of the matrix/array.\n   *\n   * Syntax:\n   *\n   *    math.map(x, callback)\n   *\n   * Examples:\n   *\n   *    math.map([1, 2, 3], function(value) {\n   *      return value * value\n   *    })  // returns [1, 4, 9]\n   *\n   * See also:\n   *\n   *    filter, forEach, sort\n   *\n   * @param {Matrix | Array} x    The matrix to iterate on.\n   * @param {Function} callback   The callback method is invoked with three\n   *                              parameters: the value of the element, the index\n   *                              of the element, and the matrix being traversed.\n   * @return {Matrix | array}     Transformed map of x\n   */\n  var map = typed('map', {\n    'Array, function': _map,\n    'Matrix, function': function MatrixFunction(x, callback) {\n      return x.map(callback);\n    }\n  });\n  map.toTex = undefined; // use default template\n\n  return map;\n}\n/**\n * Map for a multi dimensional array\n * @param {Array} array\n * @param {Function} callback\n * @return {Array}\n * @private\n */\n\n\nfunction _map(array, callback) {\n  // figure out what number of arguments the callback function expects\n  var args = maxArgumentCount(callback);\n\n  var recurse = function recurse(value, index) {\n    if (Array.isArray(value)) {\n      return value.map(function (child, i) {\n        // we create a copy of the index array and append the new index value\n        return recurse(child, index.concat(i));\n      });\n    } else {\n      // invoke the callback function with the right number of arguments\n      if (args === 1) {\n        return callback(value);\n      } else if (args === 2) {\n        return callback(value, index);\n      } else {\n        // 3 or -1\n        return callback(value, index, array);\n      }\n    }\n  };\n\n  return recurse(array, []);\n}\n\nexports.name = 'map';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var ZERO = new type.BigNumber(0);\n  var ONE = new type.BigNumber(1);\n  /**\n   * Create an array from a range.\n   * By default, the range end is excluded. This can be customized by providing\n   * an extra parameter `includeEnd`.\n   *\n   * Syntax:\n   *\n   *     math.range(str [, includeEnd])               // Create a range from a string,\n   *                                                  // where the string contains the\n   *                                                  // start, optional step, and end,\n   *                                                  // separated by a colon.\n   *     math.range(start, end [, includeEnd])        // Create a range with start and\n   *                                                  // end and a step size of 1.\n   *     math.range(start, end, step [, includeEnd])  // Create a range with start, step,\n   *                                                  // and end.\n   *\n   * Where:\n   *\n   * - `str: string`\n   *   A string 'start:end' or 'start:step:end'\n   * - `start: {number | BigNumber}`\n   *   Start of the range\n   * - `end: number | BigNumber`\n   *   End of the range, excluded by default, included when parameter includeEnd=true\n   * - `step: number | BigNumber`\n   *   Step size. Default value is 1.\n   * - `includeEnd: boolean`\n   *   Option to specify whether to include the end or not. False by default.\n   *\n   * Examples:\n   *\n   *     math.range(2, 6)        // [2, 3, 4, 5]\n   *     math.range(2, -3, -1)   // [2, 1, 0, -1, -2]\n   *     math.range('2:1:6')     // [2, 3, 4, 5]\n   *     math.range(2, 6, true)  // [2, 3, 4, 5, 6]\n   *\n   * See also:\n   *\n   *     ones, zeros, size, subset\n   *\n   * @param {*} args   Parameters describing the ranges `start`, `end`, and optional `step`.\n   * @return {Array | Matrix} range\n   */\n\n  var range = typed('range', {\n    // TODO: simplify signatures when typed-function supports default values and optional arguments\n    // TODO: a number or boolean should not be converted to string here\n    'string': _strRange,\n    'string, boolean': _strRange,\n    'number, number': function numberNumber(start, end) {\n      return _out(_rangeEx(start, end, 1));\n    },\n    'number, number, number': function numberNumberNumber(start, end, step) {\n      return _out(_rangeEx(start, end, step));\n    },\n    'number, number, boolean': function numberNumberBoolean(start, end, includeEnd) {\n      return includeEnd ? _out(_rangeInc(start, end, 1)) : _out(_rangeEx(start, end, 1));\n    },\n    'number, number, number, boolean': function numberNumberNumberBoolean(start, end, step, includeEnd) {\n      return includeEnd ? _out(_rangeInc(start, end, step)) : _out(_rangeEx(start, end, step));\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(start, end) {\n      return _out(_bigRangeEx(start, end, ONE));\n    },\n    'BigNumber, BigNumber, BigNumber': function BigNumberBigNumberBigNumber(start, end, step) {\n      return _out(_bigRangeEx(start, end, step));\n    },\n    'BigNumber, BigNumber, boolean': function BigNumberBigNumberBoolean(start, end, includeEnd) {\n      return includeEnd ? _out(_bigRangeInc(start, end, ONE)) : _out(_bigRangeEx(start, end, ONE));\n    },\n    'BigNumber, BigNumber, BigNumber, boolean': function BigNumberBigNumberBigNumberBoolean(start, end, step, includeEnd) {\n      return includeEnd ? _out(_bigRangeInc(start, end, step)) : _out(_bigRangeEx(start, end, step));\n    }\n  });\n  range.toTex = undefined; // use default template\n\n  return range;\n\n  function _out(arr) {\n    return config.matrix === 'Array' ? arr : matrix(arr);\n  }\n\n  function _strRange(str, includeEnd) {\n    var r = _parse(str);\n\n    if (!r) {\n      throw new SyntaxError('String \"' + str + '\" is no valid range');\n    }\n\n    var fn;\n\n    if (config.number === 'BigNumber') {\n      fn = includeEnd ? _bigRangeInc : _bigRangeEx;\n      return _out(fn(new type.BigNumber(r.start), new type.BigNumber(r.end), new type.BigNumber(r.step)));\n    } else {\n      fn = includeEnd ? _rangeInc : _rangeEx;\n      return _out(fn(r.start, r.end, r.step));\n    }\n  }\n  /**\n   * Create a range with numbers. End is excluded\n   * @param {number} start\n   * @param {number} end\n   * @param {number} step\n   * @returns {Array} range\n   * @private\n   */\n\n\n  function _rangeEx(start, end, step) {\n    var array = [];\n    var x = start;\n\n    if (step > 0) {\n      while (x < end) {\n        array.push(x);\n        x += step;\n      }\n    } else if (step < 0) {\n      while (x > end) {\n        array.push(x);\n        x += step;\n      }\n    }\n\n    return array;\n  }\n  /**\n   * Create a range with numbers. End is included\n   * @param {number} start\n   * @param {number} end\n   * @param {number} step\n   * @returns {Array} range\n   * @private\n   */\n\n\n  function _rangeInc(start, end, step) {\n    var array = [];\n    var x = start;\n\n    if (step > 0) {\n      while (x <= end) {\n        array.push(x);\n        x += step;\n      }\n    } else if (step < 0) {\n      while (x >= end) {\n        array.push(x);\n        x += step;\n      }\n    }\n\n    return array;\n  }\n  /**\n   * Create a range with big numbers. End is excluded\n   * @param {BigNumber} start\n   * @param {BigNumber} end\n   * @param {BigNumber} step\n   * @returns {Array} range\n   * @private\n   */\n\n\n  function _bigRangeEx(start, end, step) {\n    var array = [];\n    var x = start;\n\n    if (step.gt(ZERO)) {\n      while (x.lt(end)) {\n        array.push(x);\n        x = x.plus(step);\n      }\n    } else if (step.lt(ZERO)) {\n      while (x.gt(end)) {\n        array.push(x);\n        x = x.plus(step);\n      }\n    }\n\n    return array;\n  }\n  /**\n   * Create a range with big numbers. End is included\n   * @param {BigNumber} start\n   * @param {BigNumber} end\n   * @param {BigNumber} step\n   * @returns {Array} range\n   * @private\n   */\n\n\n  function _bigRangeInc(start, end, step) {\n    var array = [];\n    var x = start;\n\n    if (step.gt(ZERO)) {\n      while (x.lte(end)) {\n        array.push(x);\n        x = x.plus(step);\n      }\n    } else if (step.lt(ZERO)) {\n      while (x.gte(end)) {\n        array.push(x);\n        x = x.plus(step);\n      }\n    }\n\n    return array;\n  }\n  /**\n   * Parse a string into a range,\n   * The string contains the start, optional step, and end, separated by a colon.\n   * If the string does not contain a valid range, null is returned.\n   * For example str='0:2:11'.\n   * @param {string} str\n   * @return {{start: number, end: number, step: number} | null} range Object containing properties start, end, step\n   * @private\n   */\n\n\n  function _parse(str) {\n    var args = str.split(':'); // number\n\n    var nums = args.map(function (arg) {\n      // use Number and not parseFloat as Number returns NaN on invalid garbage in the string\n      return Number(arg);\n    });\n    var invalid = nums.some(function (num) {\n      return isNaN(num);\n    });\n\n    if (invalid) {\n      return null;\n    }\n\n    switch (nums.length) {\n      case 2:\n        return {\n          start: nums[0],\n          end: nums[1],\n          step: 1\n        };\n\n      case 3:\n        return {\n          start: nums[0],\n          end: nums[2],\n          step: nums[1]\n        };\n\n      default:\n        return null;\n    }\n  }\n}\n\nexports.name = 'range';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n\n  var _typeof = load(require('../utils/typeof'));\n\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Compare two strings lexically. Comparison is case sensitive.\n   * Returns 1 when x > y, -1 when x < y, and 0 when x == y.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.compareText(x, y)\n   *\n   * Examples:\n   *\n   *    math.compareText('B', 'A')     // returns 1\n   *    math.compareText('2', '10')    // returns 1\n   *    math.compare('2', '10')        // returns -1\n   *    math.compareNatural('2', '10') // returns -1\n   *\n   *    math.compareText('B', ['A', 'B', 'C']) // returns [1, 0, -1]\n   *\n   * See also:\n   *\n   *    equal, equalText, compare, compareNatural\n   *\n   * @param  {string | Array | DenseMatrix} x First string to compare\n   * @param  {string | Array | DenseMatrix} y Second string to compare\n   * @return {number | Array | DenseMatrix} Returns the result of the comparison:\n   *                                        1 when x > y, -1 when x < y, and 0 when x == y.\n   */\n\n  var compareText = typed('compareText', {\n    'any, any': _compareText,\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, _compareText);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return compareText(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return compareText(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return compareText(x, matrix(y));\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, _compareText, false);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, _compareText, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, _compareText, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, _compareText, true).valueOf();\n    }\n  });\n  /**\n   * Compare two strings\n   * @param {string} x\n   * @param {string} y\n   * @returns {number}\n   * @private\n   */\n\n  function _compareText(x, y) {\n    // we don't want to convert numbers to string, only accept string input\n    if (!type.isString(x)) {\n      throw new TypeError('Unexpected type of argument in function compareText ' + '(expected: string or Array or Matrix, actual: ' + _typeof(x) + ', index: 0)');\n    }\n\n    if (!type.isString(y)) {\n      throw new TypeError('Unexpected type of argument in function compareText ' + '(expected: string or Array or Matrix, actual: ' + _typeof(y) + ', index: 1)');\n    }\n\n    return x === y ? 0 : x > y ? 1 : -1;\n  }\n\n  compareText.toTex = undefined; // use default template\n\n  return compareText;\n}\n\nexports.name = 'compareText';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nvar identify = require('../../utils/array').identify;\n\nvar generalize = require('../../utils/array').generalize;\n\nfunction factory(type, config, load, typed) {\n  var MatrixIndex = load(require('../../type/matrix/MatrixIndex'));\n  var DenseMatrix = load(require('../../type/matrix/DenseMatrix'));\n  var size = load(require('../matrix/size'));\n  var subset = load(require('../matrix/subset'));\n  var compareNatural = load(require('../relational/compareNatural'));\n  /**\n   * Create the difference of two (multi)sets: every element of set1, that is not the element of set2.\n   * Multi-dimension arrays will be converted to single-dimension arrays before the operation.\n   *\n   * Syntax:\n   *\n   *    math.setDifference(set1, set2)\n   *\n   * Examples:\n   *\n   *    math.setDifference([1, 2, 3, 4], [3, 4, 5, 6])            // returns [1, 2]\n   *    math.setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])    // returns [1, 2]\n   *\n   * See also:\n   *\n   *    setUnion, setIntersect, setSymDifference\n   *\n   * @param {Array | Matrix}    a1  A (multi)set\n   * @param {Array | Matrix}    a2  A (multi)set\n   * @return {Array | Matrix}    The difference of two (multi)sets\n   */\n\n  var setDifference = typed('setDifference', {\n    'Array | Matrix, Array | Matrix': function ArrayMatrixArrayMatrix(a1, a2) {\n      var result;\n\n      if (subset(size(a1), new MatrixIndex(0)) === 0) {\n        // empty-anything=empty\n        result = [];\n      } else if (subset(size(a2), new MatrixIndex(0)) === 0) {\n        // anything-empty=anything\n        return flatten(a1.toArray());\n      } else {\n        var b1 = identify(flatten(Array.isArray(a1) ? a1 : a1.toArray()).sort(compareNatural));\n        var b2 = identify(flatten(Array.isArray(a2) ? a2 : a2.toArray()).sort(compareNatural));\n        result = [];\n        var inb2;\n\n        for (var i = 0; i < b1.length; i++) {\n          inb2 = false;\n\n          for (var j = 0; j < b2.length; j++) {\n            if (compareNatural(b1[i].value, b2[j].value) === 0 && b1[i].identifier === b2[j].identifier) {\n              // the identifier is always a decimal int\n              inb2 = true;\n              break;\n            }\n          }\n\n          if (!inb2) {\n            result.push(b1[i]);\n          }\n        }\n      } // return an array, if both inputs were arrays\n\n\n      if (Array.isArray(a1) && Array.isArray(a2)) {\n        return generalize(result);\n      } // return a matrix otherwise\n\n\n      return new DenseMatrix(generalize(result));\n    }\n  });\n  return setDifference;\n}\n\nexports.name = 'setDifference';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nvar identify = require('../../utils/array').identify;\n\nvar generalize = require('../../utils/array').generalize;\n\nfunction factory(type, config, load, typed) {\n  var MatrixIndex = load(require('../../type/matrix/MatrixIndex'));\n  var DenseMatrix = load(require('../../type/matrix/DenseMatrix'));\n  var size = load(require('../matrix/size'));\n  var subset = load(require('../matrix/subset'));\n  var compareNatural = load(require('../relational/compareNatural'));\n  /**\n   * Create the intersection of two (multi)sets.\n   * Multi-dimension arrays will be converted to single-dimension arrays before the operation.\n   *\n   * Syntax:\n   *\n   *    math.setIntersect(set1, set2)\n   *\n   * Examples:\n   *\n   *    math.setIntersect([1, 2, 3, 4], [3, 4, 5, 6])            // returns [3, 4]\n   *    math.setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])    // returns [3, 4]\n   *\n   * See also:\n   *\n   *    setUnion, setDifference\n   *\n   * @param {Array | Matrix}    a1  A (multi)set\n   * @param {Array | Matrix}    a2  A (multi)set\n   * @return {Array | Matrix}    The intersection of two (multi)sets\n   */\n\n  var setIntersect = typed('setIntersect', {\n    'Array | Matrix, Array | Matrix': function ArrayMatrixArrayMatrix(a1, a2) {\n      var result;\n\n      if (subset(size(a1), new MatrixIndex(0)) === 0 || subset(size(a2), new MatrixIndex(0)) === 0) {\n        // of any of them is empty, return empty\n        result = [];\n      } else {\n        var b1 = identify(flatten(Array.isArray(a1) ? a1 : a1.toArray()).sort(compareNatural));\n        var b2 = identify(flatten(Array.isArray(a2) ? a2 : a2.toArray()).sort(compareNatural));\n        result = [];\n\n        for (var i = 0; i < b1.length; i++) {\n          for (var j = 0; j < b2.length; j++) {\n            if (compareNatural(b1[i].value, b2[j].value) === 0 && b1[i].identifier === b2[j].identifier) {\n              // the identifier is always a decimal int\n              result.push(b1[i]);\n              break;\n            }\n          }\n        }\n      } // return an array, if both inputs were arrays\n\n\n      if (Array.isArray(a1) && Array.isArray(a2)) {\n        return generalize(result);\n      } // return a matrix otherwise\n\n\n      return new DenseMatrix(generalize(result));\n    }\n  });\n  return setIntersect;\n}\n\nexports.name = 'setIntersect';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var MatrixIndex = load(require('../../type/matrix/MatrixIndex'));\n  var concat = load(require('../matrix/concat'));\n  var size = load(require('../matrix/size'));\n  var subset = load(require('../matrix/subset'));\n  var setDifference = load(require('../set/setDifference'));\n  /**\n   * Create the symmetric difference of two (multi)sets.\n   * Multi-dimension arrays will be converted to single-dimension arrays before the operation.\n   *\n   * Syntax:\n   *\n   *    math.setSymDifference(set1, set2)\n   *\n   * Examples:\n   *\n   *    math.setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])            // returns [1, 2, 5, 6]\n   *    math.setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])    // returns [1, 2, 5, 6]\n   *\n   * See also:\n   *\n   *    setUnion, setIntersect, setDifference\n   *\n   * @param {Array | Matrix}    a1  A (multi)set\n   * @param {Array | Matrix}    a2  A (multi)set\n   * @return {Array | Matrix}    The symmetric difference of two (multi)sets\n   */\n\n  var setSymDifference = typed('setSymDifference', {\n    'Array | Matrix, Array | Matrix': function ArrayMatrixArrayMatrix(a1, a2) {\n      if (subset(size(a1), new MatrixIndex(0)) === 0) {\n        // if any of them is empty, return the other one\n        return flatten(a2);\n      } else if (subset(size(a2), new MatrixIndex(0)) === 0) {\n        return flatten(a1);\n      }\n\n      var b1 = flatten(a1);\n      var b2 = flatten(a2);\n      return concat(setDifference(b1, b2), setDifference(b2, b1));\n    }\n  });\n  return setSymDifference;\n}\n\nexports.name = 'setSymDifference';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nvar containsCollections = require('../../utils/collection/containsCollections');\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/addScalar'));\n  var divide = load(require('../arithmetic/divideScalar'));\n  var compare = load(require('../relational/compare'));\n  var partitionSelect = load(require('../matrix/partitionSelect'));\n  var improveErrorMessage = load(require('./utils/improveErrorMessage'));\n  /**\n   * Compute the median of a matrix or a list with values. The values are\n   * sorted and the middle value is returned. In case of an even number of\n   * values, the average of the two middle values is returned.\n   * Supported types of values are: Number, BigNumber, Unit\n   *\n   * In case of a (multi dimensional) array or matrix, the median of all\n   * elements will be calculated.\n   *\n   * Syntax:\n   *\n   *     math.median(a, b, c, ...)\n   *     math.median(A)\n   *\n   * Examples:\n   *\n   *     math.median(5, 2, 7)        // returns 5\n   *     math.median([3, -1, 5, 7])  // returns 4\n   *\n   * See also:\n   *\n   *     mean, min, max, sum, prod, std, var, quantileSeq\n   *\n   * @param {... *} args  A single matrix or or multiple scalar values\n   * @return {*} The median\n   */\n\n  var median = typed('median', {\n    // median([a, b, c, d, ...])\n    'Array | Matrix': _median,\n    // median([a, b, c, d, ...], dim)\n    'Array | Matrix, number | BigNumber': function ArrayMatrixNumberBigNumber(array, dim) {\n      // TODO: implement median(A, dim)\n      throw new Error('median(A, dim) is not yet supported'); // return reduce(arguments[0], arguments[1], ...)\n    },\n    // median(a, b, c, d, ...)\n    '...': function _(args) {\n      if (containsCollections(args)) {\n        throw new TypeError('Scalar values expected in function median');\n      }\n\n      return _median(args);\n    }\n  });\n  /**\n   * Recursively calculate the median of an n-dimensional array\n   * @param {Array} array\n   * @return {Number} median\n   * @private\n   */\n\n  function _median(array) {\n    try {\n      array = flatten(array.valueOf());\n      var num = array.length;\n\n      if (num === 0) {\n        throw new Error('Cannot calculate median of an empty array');\n      }\n\n      if (num % 2 === 0) {\n        // even: return the average of the two middle values\n        var mid = num / 2 - 1;\n        var right = partitionSelect(array, mid + 1); // array now partitioned at mid + 1, take max of left part\n\n        var left = array[mid];\n\n        for (var i = 0; i < mid; ++i) {\n          if (compare(array[i], left) > 0) {\n            left = array[i];\n          }\n        }\n\n        return middle2(left, right);\n      } else {\n        // odd: return the middle value\n        var m = partitionSelect(array, (num - 1) / 2);\n        return middle(m);\n      }\n    } catch (err) {\n      throw improveErrorMessage(err, 'median');\n    }\n  } // helper function to type check the middle value of the array\n\n\n  var middle = typed({\n    'number | BigNumber | Complex | Unit': function numberBigNumberComplexUnit(value) {\n      return value;\n    }\n  }); // helper function to type check the two middle value of the array\n\n  var middle2 = typed({\n    'number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit': function numberBigNumberComplexUnitNumberBigNumberComplexUnit(left, right) {\n      return divide(add(left, right), 2);\n    }\n  });\n  median.toTex = undefined; // use default template\n\n  return median;\n}\n\nexports.name = 'median';\nexports.factory = factory;","'use strict';\n\nvar size = require('../../utils/array').size;\n\nvar deepForEach = require('../../utils/collection/deepForEach');\n\nvar reduce = require('../../utils/collection/reduce');\n\nvar containsCollections = require('../../utils/collection/containsCollections');\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/add'));\n  var divide = load(require('../arithmetic/divide'));\n  var improveErrorMessage = load(require('./utils/improveErrorMessage'));\n  /**\n   * Compute the mean value of matrix or a list with values.\n   * In case of a multi dimensional array, the mean of the flattened array\n   * will be calculated. When `dim` is provided, the maximum over the selected\n   * dimension will be calculated. Parameter `dim` is zero-based.\n   *\n   * Syntax:\n   *\n   *     math.mean(a, b, c, ...)\n   *     math.mean(A)\n   *     math.mean(A, dim)\n   *\n   * Examples:\n   *\n   *     math.mean(2, 1, 4, 3)                     // returns 2.5\n   *     math.mean([1, 2.7, 3.2, 4])               // returns 2.725\n   *\n   *     math.mean([[2, 5], [6, 3], [1, 7]], 0)    // returns [3, 5]\n   *     math.mean([[2, 5], [6, 3], [1, 7]], 1)    // returns [3.5, 4.5, 4]\n   *\n   * See also:\n   *\n   *     median, min, max, sum, prod, std, var\n   *\n   * @param {... *} args  A single matrix or or multiple scalar values\n   * @return {*} The mean of all values\n   */\n\n  var mean = typed('mean', {\n    // mean([a, b, c, d, ...])\n    'Array | Matrix': _mean,\n    // mean([a, b, c, d, ...], dim)\n    'Array | Matrix, number | BigNumber': _nmeanDim,\n    // mean(a, b, c, d, ...)\n    '...': function _(args) {\n      if (containsCollections(args)) {\n        throw new TypeError('Scalar values expected in function mean');\n      }\n\n      return _mean(args);\n    }\n  });\n  mean.toTex = undefined; // use default template\n\n  return mean;\n  /**\n   * Calculate the mean value in an n-dimensional array, returning a\n   * n-1 dimensional array\n   * @param {Array} array\n   * @param {number} dim\n   * @return {number} mean\n   * @private\n   */\n\n  function _nmeanDim(array, dim) {\n    try {\n      var sum = reduce(array, dim, add);\n      var s = Array.isArray(array) ? size(array) : array.size();\n      return divide(sum, s[dim]);\n    } catch (err) {\n      throw improveErrorMessage(err, 'mean');\n    }\n  }\n  /**\n   * Recursively calculate the mean value in an n-dimensional array\n   * @param {Array} array\n   * @return {number} mean\n   * @private\n   */\n\n\n  function _mean(array) {\n    var sum = 0;\n    var num = 0;\n    deepForEach(array, function (value) {\n      try {\n        sum = add(sum, value);\n        num++;\n      } catch (err) {\n        throw improveErrorMessage(err, 'mean', value);\n      }\n    });\n\n    if (num === 0) {\n      throw new Error('Cannot calculate mean of an empty array');\n    }\n\n    return divide(sum, num);\n  }\n}\n\nexports.name = 'mean';\nexports.factory = factory;","'use strict';\n\nvar deepForEach = require('../../utils/collection/deepForEach');\n\nvar reduce = require('../../utils/collection/reduce');\n\nvar containsCollections = require('../../utils/collection/containsCollections');\n\nfunction factory(type, config, load, typed) {\n  var smaller = load(require('../relational/smaller'));\n  var improveErrorMessage = load(require('./utils/improveErrorMessage'));\n  /**\n   * Compute the maximum value of a matrix or a  list of values.\n   * In case of a multi dimensional array, the maximum of the flattened array\n   * will be calculated. When `dim` is provided, the maximum over the selected\n   * dimension will be calculated. Parameter `dim` is zero-based.\n   *\n   * Syntax:\n   *\n   *     math.min(a, b, c, ...)\n   *     math.min(A)\n   *     math.min(A, dim)\n   *\n   * Examples:\n   *\n   *     math.min(2, 1, 4, 3)                  // returns 1\n   *     math.min([2, 1, 4, 3])                // returns 1\n   *\n   *     // maximum over a specified dimension (zero-based)\n   *     math.min([[2, 5], [4, 3], [1, 7]], 0) // returns [1, 3]\n   *     math.min([[2, 5], [4, 3], [1, 7]], 1) // returns [2, 3, 1]\n   *\n   *     math.max(2.7, 7.1, -4.5, 2.0, 4.1)    // returns 7.1\n   *     math.min(2.7, 7.1, -4.5, 2.0, 4.1)    // returns -4.5\n   *\n   * See also:\n   *\n   *    mean, median, max, prod, std, sum, var\n   *\n   * @param {... *} args  A single matrix or or multiple scalar values\n   * @return {*} The minimum value\n   */\n\n  var min = typed('min', {\n    // min([a, b, c, d, ...])\n    'Array | Matrix': _min,\n    // min([a, b, c, d, ...], dim)\n    'Array | Matrix, number | BigNumber': function ArrayMatrixNumberBigNumber(array, dim) {\n      return reduce(array, dim.valueOf(), _smallest);\n    },\n    // min(a, b, c, d, ...)\n    '...': function _(args) {\n      if (containsCollections(args)) {\n        throw new TypeError('Scalar values expected in function min');\n      }\n\n      return _min(args);\n    }\n  });\n  min.toTex = \"\\\\min\\\\left(${args}\\\\right)\";\n  return min;\n  /**\n   * Return the smallest of two values\n   * @param {*} x\n   * @param {*} y\n   * @returns {*} Returns x when x is smallest, or y when y is smallest\n   * @private\n   */\n\n  function _smallest(x, y) {\n    try {\n      return smaller(x, y) ? x : y;\n    } catch (err) {\n      throw improveErrorMessage(err, 'min', y);\n    }\n  }\n  /**\n   * Recursively calculate the minimum value in an n-dimensional array\n   * @param {Array} array\n   * @return {number} min\n   * @private\n   */\n\n\n  function _min(array) {\n    var min;\n    deepForEach(array, function (value) {\n      try {\n        if (isNaN(value) && typeof value === 'number') {\n          min = NaN;\n        } else if (min === undefined || smaller(value, min)) {\n          min = value;\n        }\n      } catch (err) {\n        throw improveErrorMessage(err, 'min', value);\n      }\n    });\n\n    if (min === undefined) {\n      throw new Error('Cannot calculate min of an empty array');\n    }\n\n    return min;\n  }\n}\n\nexports.name = 'min';\nexports.factory = factory;","'use strict';\n\nvar DEFAULT_NORMALIZATION = 'unbiased';\n\nvar deepForEach = require('../../utils/collection/deepForEach');\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/addScalar'));\n  var subtract = load(require('../arithmetic/subtract'));\n  var multiply = load(require('../arithmetic/multiplyScalar'));\n  var divide = load(require('../arithmetic/divideScalar'));\n  var isNaN = load(require('../utils/isNaN'));\n  var improveErrorMessage = load(require('./utils/improveErrorMessage'));\n  /**\n   * Compute the variance of a matrix or a  list with values.\n   * In case of a (multi dimensional) array or matrix, the variance over all\n   * elements will be calculated.\n   *\n   * Optionally, the type of normalization can be specified as second\n   * parameter. The parameter `normalization` can be one of the following values:\n   *\n   * - 'unbiased' (default) The sum of squared errors is divided by (n - 1)\n   * - 'uncorrected'        The sum of squared errors is divided by n\n   * - 'biased'             The sum of squared errors is divided by (n + 1)\n   *\n   * Note that older browser may not like the variable name `var`. In that\n   * case, the function can be called as `math['var'](...)` instead of\n   * `math.var(...)`.\n   *\n   * Syntax:\n   *\n   *     math.var(a, b, c, ...)\n   *     math.var(A)\n   *     math.var(A, normalization)\n   *\n   * Examples:\n   *\n   *     math.var(2, 4, 6)                     // returns 4\n   *     math.var([2, 4, 6, 8])                // returns 6.666666666666667\n   *     math.var([2, 4, 6, 8], 'uncorrected') // returns 5\n   *     math.var([2, 4, 6, 8], 'biased')      // returns 4\n   *\n   *     math.var([[1, 2, 3], [4, 5, 6]])      // returns 3.5\n   *\n   * See also:\n   *\n   *    mean, median, max, min, prod, std, sum\n   *\n   * @param {Array | Matrix} array\n   *                        A single matrix or or multiple scalar values\n   * @param {string} [normalization='unbiased']\n   *                        Determines how to normalize the variance.\n   *                        Choose 'unbiased' (default), 'uncorrected', or 'biased'.\n   * @return {*} The variance\n   */\n\n  var variance = typed('variance', {\n    // var([a, b, c, d, ...])\n    'Array | Matrix': function ArrayMatrix(array) {\n      return _var(array, DEFAULT_NORMALIZATION);\n    },\n    // var([a, b, c, d, ...], normalization)\n    'Array | Matrix, string': _var,\n    // var(a, b, c, d, ...)\n    '...': function _(args) {\n      return _var(args, DEFAULT_NORMALIZATION);\n    }\n  });\n  variance.toTex = \"\\\\mathrm{Var}\\\\left(${args}\\\\right)\";\n  return variance;\n  /**\n   * Recursively calculate the variance of an n-dimensional array\n   * @param {Array} array\n   * @param {string} normalization\n   *                        Determines how to normalize the variance:\n   *                        - 'unbiased'    The sum of squared errors is divided by (n - 1)\n   *                        - 'uncorrected' The sum of squared errors is divided by n\n   *                        - 'biased'      The sum of squared errors is divided by (n + 1)\n   * @return {number | BigNumber} variance\n   * @private\n   */\n\n  function _var(array, normalization) {\n    var sum = 0;\n    var num = 0;\n\n    if (array.length === 0) {\n      throw new SyntaxError('Function var requires one or more parameters (0 provided)');\n    } // calculate the mean and number of elements\n\n\n    deepForEach(array, function (value) {\n      try {\n        sum = add(sum, value);\n        num++;\n      } catch (err) {\n        throw improveErrorMessage(err, 'var', value);\n      }\n    });\n    if (num === 0) throw new Error('Cannot calculate var of an empty array');\n    var mean = divide(sum, num); // calculate the variance\n\n    sum = 0;\n    deepForEach(array, function (value) {\n      var diff = subtract(value, mean);\n      sum = add(sum, multiply(diff, diff));\n    });\n\n    if (isNaN(sum)) {\n      return sum;\n    }\n\n    switch (normalization) {\n      case 'uncorrected':\n        return divide(sum, num);\n\n      case 'biased':\n        return divide(sum, num + 1);\n\n      case 'unbiased':\n        var zero = type.isBigNumber(sum) ? new type.BigNumber(0) : 0;\n        return num === 1 ? zero : divide(sum, num - 1);\n\n      default:\n        throw new Error('Unknown normalization \"' + normalization + '\". ' + 'Choose \"unbiased\" (default), \"uncorrected\", or \"biased\".');\n    }\n  }\n}\n\nexports.name = 'var';\nexports.factory = factory;","\"use strict\";\n\nfunction factory(construction, config, load, typed) {\n  var docs = {}; // construction functions\n\n  docs.bignumber = require('./construction/bignumber');\n  docs['boolean'] = require('./construction/boolean');\n  docs.complex = require('./construction/complex');\n  docs.createUnit = require('./construction/createUnit');\n  docs.fraction = require('./construction/fraction');\n  docs.index = require('./construction/index');\n  docs.matrix = require('./construction/matrix');\n  docs.number = require('./construction/number');\n  docs.sparse = require('./construction/sparse');\n  docs.splitUnit = require('./construction/splitUnit');\n  docs.string = require('./construction/string');\n  docs.unit = require('./construction/unit'); // constants\n\n  docs.e = require('./constants/e');\n  docs.E = require('./constants/e');\n  docs['false'] = require('./constants/false');\n  docs.i = require('./constants/i');\n  docs['Infinity'] = require('./constants/Infinity');\n  docs.LN2 = require('./constants/LN2');\n  docs.LN10 = require('./constants/LN10');\n  docs.LOG2E = require('./constants/LOG2E');\n  docs.LOG10E = require('./constants/LOG10E');\n  docs.NaN = require('./constants/NaN');\n  docs['null'] = require('./constants/null');\n  docs.pi = require('./constants/pi');\n  docs.PI = require('./constants/pi');\n  docs.phi = require('./constants/phi');\n  docs.SQRT1_2 = require('./constants/SQRT1_2');\n  docs.SQRT2 = require('./constants/SQRT2');\n  docs.tau = require('./constants/tau');\n  docs['true'] = require('./constants/true');\n  docs.version = require('./constants/version'); // physical constants\n  // TODO: more detailed docs for physical constants\n\n  docs.speedOfLight = {\n    description: 'Speed of light in vacuum',\n    examples: ['speedOfLight']\n  };\n  docs.gravitationConstant = {\n    description: 'Newtonian constant of gravitation',\n    examples: ['gravitationConstant']\n  };\n  docs.planckConstant = {\n    description: 'Planck constant',\n    examples: ['planckConstant']\n  };\n  docs.reducedPlanckConstant = {\n    description: 'Reduced Planck constant',\n    examples: ['reducedPlanckConstant']\n  };\n  docs.magneticConstant = {\n    description: 'Magnetic constant (vacuum permeability)',\n    examples: ['magneticConstant']\n  };\n  docs.electricConstant = {\n    description: 'Electric constant (vacuum permeability)',\n    examples: ['electricConstant']\n  };\n  docs.vacuumImpedance = {\n    description: 'Characteristic impedance of vacuum',\n    examples: ['vacuumImpedance']\n  };\n  docs.coulomb = {\n    description: 'Coulomb\\'s constant',\n    examples: ['coulomb']\n  };\n  docs.elementaryCharge = {\n    description: 'Elementary charge',\n    examples: ['elementaryCharge']\n  };\n  docs.bohrMagneton = {\n    description: 'Borh magneton',\n    examples: ['bohrMagneton']\n  };\n  docs.conductanceQuantum = {\n    description: 'Conductance quantum',\n    examples: ['conductanceQuantum']\n  };\n  docs.inverseConductanceQuantum = {\n    description: 'Inverse conductance quantum',\n    examples: ['inverseConductanceQuantum'] // docs.josephson = {description: 'Josephson constant', examples: ['josephson']}\n\n  };\n  docs.magneticFluxQuantum = {\n    description: 'Magnetic flux quantum',\n    examples: ['magneticFluxQuantum']\n  };\n  docs.nuclearMagneton = {\n    description: 'Nuclear magneton',\n    examples: ['nuclearMagneton']\n  };\n  docs.klitzing = {\n    description: 'Von Klitzing constant',\n    examples: ['klitzing']\n  };\n  docs.bohrRadius = {\n    description: 'Borh radius',\n    examples: ['bohrRadius']\n  };\n  docs.classicalElectronRadius = {\n    description: 'Classical electron radius',\n    examples: ['classicalElectronRadius']\n  };\n  docs.electronMass = {\n    description: 'Electron mass',\n    examples: ['electronMass']\n  };\n  docs.fermiCoupling = {\n    description: 'Fermi coupling constant',\n    examples: ['fermiCoupling']\n  };\n  docs.fineStructure = {\n    description: 'Fine-structure constant',\n    examples: ['fineStructure']\n  };\n  docs.hartreeEnergy = {\n    description: 'Hartree energy',\n    examples: ['hartreeEnergy']\n  };\n  docs.protonMass = {\n    description: 'Proton mass',\n    examples: ['protonMass']\n  };\n  docs.deuteronMass = {\n    description: 'Deuteron Mass',\n    examples: ['deuteronMass']\n  };\n  docs.neutronMass = {\n    description: 'Neutron mass',\n    examples: ['neutronMass']\n  };\n  docs.quantumOfCirculation = {\n    description: 'Quantum of circulation',\n    examples: ['quantumOfCirculation']\n  };\n  docs.rydberg = {\n    description: 'Rydberg constant',\n    examples: ['rydberg']\n  };\n  docs.thomsonCrossSection = {\n    description: 'Thomson cross section',\n    examples: ['thomsonCrossSection']\n  };\n  docs.weakMixingAngle = {\n    description: 'Weak mixing angle',\n    examples: ['weakMixingAngle']\n  };\n  docs.efimovFactor = {\n    description: 'Efimov factor',\n    examples: ['efimovFactor']\n  };\n  docs.atomicMass = {\n    description: 'Atomic mass constant',\n    examples: ['atomicMass']\n  };\n  docs.avogadro = {\n    description: 'Avogadro\\'s number',\n    examples: ['avogadro']\n  };\n  docs.boltzmann = {\n    description: 'Boltzmann constant',\n    examples: ['boltzmann']\n  };\n  docs.faraday = {\n    description: 'Faraday constant',\n    examples: ['faraday']\n  };\n  docs.firstRadiation = {\n    description: 'First radiation constant',\n    examples: ['firstRadiation']\n  };\n  docs.loschmidt = {\n    description: 'Loschmidt constant at T=273.15 K and p=101.325 kPa',\n    examples: ['loschmidt']\n  };\n  docs.gasConstant = {\n    description: 'Gas constant',\n    examples: ['gasConstant']\n  };\n  docs.molarPlanckConstant = {\n    description: 'Molar Planck constant',\n    examples: ['molarPlanckConstant']\n  };\n  docs.molarVolume = {\n    description: 'Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa',\n    examples: ['molarVolume']\n  };\n  docs.sackurTetrode = {\n    description: 'Sackur-Tetrode constant at T=1 K and p=101.325 kPa',\n    examples: ['sackurTetrode']\n  };\n  docs.secondRadiation = {\n    description: 'Second radiation constant',\n    examples: ['secondRadiation']\n  };\n  docs.stefanBoltzmann = {\n    description: 'Stefan-Boltzmann constant',\n    examples: ['stefanBoltzmann']\n  };\n  docs.wienDisplacement = {\n    description: 'Wien displacement law constant',\n    examples: ['wienDisplacement'] // docs.spectralRadiance = {description: 'First radiation constant for spectral radiance', examples: ['spectralRadiance']}\n\n  };\n  docs.molarMass = {\n    description: 'Molar mass constant',\n    examples: ['molarMass']\n  };\n  docs.molarMassC12 = {\n    description: 'Molar mass constant of carbon-12',\n    examples: ['molarMassC12']\n  };\n  docs.gravity = {\n    description: 'Standard acceleration of gravity (standard acceleration of free-fall on Earth)',\n    examples: ['gravity']\n  };\n  docs.planckLength = {\n    description: 'Planck length',\n    examples: ['planckLength']\n  };\n  docs.planckMass = {\n    description: 'Planck mass',\n    examples: ['planckMass']\n  };\n  docs.planckTime = {\n    description: 'Planck time',\n    examples: ['planckTime']\n  };\n  docs.planckCharge = {\n    description: 'Planck charge',\n    examples: ['planckCharge']\n  };\n  docs.planckTemperature = {\n    description: 'Planck temperature',\n    examples: ['planckTemperature'] // functions - algebra\n\n  };\n  docs.derivative = require('./function/algebra/derivative');\n  docs.lsolve = require('./function/algebra/lsolve');\n  docs.lup = require('./function/algebra/lup');\n  docs.lusolve = require('./function/algebra/lusolve');\n  docs.simplify = require('./function/algebra/simplify');\n  docs.rationalize = require('./function/algebra/rationalize');\n  docs.slu = require('./function/algebra/slu');\n  docs.usolve = require('./function/algebra/usolve');\n  docs.qr = require('./function/algebra/qr'); // functions - arithmetic\n\n  docs.abs = require('./function/arithmetic/abs');\n  docs.add = require('./function/arithmetic/add');\n  docs.cbrt = require('./function/arithmetic/cbrt');\n  docs.ceil = require('./function/arithmetic/ceil');\n  docs.cube = require('./function/arithmetic/cube');\n  docs.divide = require('./function/arithmetic/divide');\n  docs.dotDivide = require('./function/arithmetic/dotDivide');\n  docs.dotMultiply = require('./function/arithmetic/dotMultiply');\n  docs.dotPow = require('./function/arithmetic/dotPow');\n  docs.exp = require('./function/arithmetic/exp');\n  docs.expm = require('./function/arithmetic/expm');\n  docs.expm1 = require('./function/arithmetic/expm1');\n  docs.fix = require('./function/arithmetic/fix');\n  docs.floor = require('./function/arithmetic/floor');\n  docs.gcd = require('./function/arithmetic/gcd');\n  docs.hypot = require('./function/arithmetic/hypot');\n  docs.lcm = require('./function/arithmetic/lcm');\n  docs.log = require('./function/arithmetic/log');\n  docs.log2 = require('./function/arithmetic/log2');\n  docs.log1p = require('./function/arithmetic/log1p');\n  docs.log10 = require('./function/arithmetic/log10');\n  docs.mod = require('./function/arithmetic/mod');\n  docs.multiply = require('./function/arithmetic/multiply');\n  docs.norm = require('./function/arithmetic/norm');\n  docs.nthRoot = require('./function/arithmetic/nthRoot');\n  docs.nthRoots = require('./function/arithmetic/nthRoots');\n  docs.pow = require('./function/arithmetic/pow');\n  docs.round = require('./function/arithmetic/round');\n  docs.sign = require('./function/arithmetic/sign');\n  docs.sqrt = require('./function/arithmetic/sqrt');\n  docs.sqrtm = require('./function/arithmetic/sqrtm');\n  docs.square = require('./function/arithmetic/square');\n  docs.subtract = require('./function/arithmetic/subtract');\n  docs.unaryMinus = require('./function/arithmetic/unaryMinus');\n  docs.unaryPlus = require('./function/arithmetic/unaryPlus');\n  docs.xgcd = require('./function/arithmetic/xgcd'); // functions - bitwise\n\n  docs.bitAnd = require('./function/bitwise/bitAnd');\n  docs.bitNot = require('./function/bitwise/bitNot');\n  docs.bitOr = require('./function/bitwise/bitOr');\n  docs.bitXor = require('./function/bitwise/bitXor');\n  docs.leftShift = require('./function/bitwise/leftShift');\n  docs.rightArithShift = require('./function/bitwise/rightArithShift');\n  docs.rightLogShift = require('./function/bitwise/rightLogShift'); // functions - combinatorics\n\n  docs.bellNumbers = require('./function/combinatorics/bellNumbers');\n  docs.catalan = require('./function/combinatorics/catalan');\n  docs.composition = require('./function/combinatorics/composition');\n  docs.stirlingS2 = require('./function/combinatorics/stirlingS2'); // functions - core\n\n  docs['config'] = require('./core/config');\n  docs['import'] = require('./core/import');\n  docs['typed'] = require('./core/typed'); // functions - complex\n\n  docs.arg = require('./function/complex/arg');\n  docs.conj = require('./function/complex/conj');\n  docs.re = require('./function/complex/re');\n  docs.im = require('./function/complex/im'); // functions - expression\n\n  docs['eval'] = require('./function/expression/eval');\n  docs.help = require('./function/expression/help'); // functions - geometry\n\n  docs.distance = require('./function/geometry/distance');\n  docs.intersect = require('./function/geometry/intersect'); // functions - logical\n\n  docs['and'] = require('./function/logical/and');\n  docs['not'] = require('./function/logical/not');\n  docs['or'] = require('./function/logical/or');\n  docs['xor'] = require('./function/logical/xor'); // functions - matrix\n\n  docs['concat'] = require('./function/matrix/concat');\n  docs.cross = require('./function/matrix/cross');\n  docs.ctranspose = require('./function/matrix/ctranspose');\n  docs.det = require('./function/matrix/det');\n  docs.diag = require('./function/matrix/diag');\n  docs.dot = require('./function/matrix/dot');\n  docs.getMatrixDataType = require('./function/matrix/getMatrixDataType');\n  docs.identity = require('./function/matrix/identity');\n  docs.filter = require('./function/matrix/filter');\n  docs.flatten = require('./function/matrix/flatten');\n  docs.forEach = require('./function/matrix/forEach');\n  docs.inv = require('./function/matrix/inv');\n  docs.kron = require('./function/matrix/kron');\n  docs.map = require('./function/matrix/map');\n  docs.ones = require('./function/matrix/ones');\n  docs.partitionSelect = require('./function/matrix/partitionSelect');\n  docs.range = require('./function/matrix/range');\n  docs.resize = require('./function/matrix/resize');\n  docs.reshape = require('./function/matrix/reshape');\n  docs.size = require('./function/matrix/size');\n  docs.sort = require('./function/matrix/sort');\n  docs.squeeze = require('./function/matrix/squeeze');\n  docs.subset = require('./function/matrix/subset');\n  docs.trace = require('./function/matrix/trace');\n  docs.transpose = require('./function/matrix/transpose');\n  docs.zeros = require('./function/matrix/zeros'); // functions - probability\n\n  docs.combinations = require('./function/probability/combinations'); // docs.distribution = require('./function/probability/distribution')\n\n  docs.factorial = require('./function/probability/factorial');\n  docs.gamma = require('./function/probability/gamma');\n  docs.kldivergence = require('./function/probability/kldivergence');\n  docs.multinomial = require('./function/probability/multinomial');\n  docs.permutations = require('./function/probability/permutations');\n  docs.pickRandom = require('./function/probability/pickRandom');\n  docs.random = require('./function/probability/random');\n  docs.randomInt = require('./function/probability/randomInt'); // functions - relational\n\n  docs.compare = require('./function/relational/compare');\n  docs.compareNatural = require('./function/relational/compareNatural');\n  docs.compareText = require('./function/relational/compareText');\n  docs.deepEqual = require('./function/relational/deepEqual');\n  docs['equal'] = require('./function/relational/equal');\n  docs.equalText = require('./function/relational/equalText');\n  docs.larger = require('./function/relational/larger');\n  docs.largerEq = require('./function/relational/largerEq');\n  docs.smaller = require('./function/relational/smaller');\n  docs.smallerEq = require('./function/relational/smallerEq');\n  docs.unequal = require('./function/relational/unequal'); // functions - set\n\n  docs.setCartesian = require('./function/set/setCartesian');\n  docs.setDifference = require('./function/set/setDifference');\n  docs.setDistinct = require('./function/set/setDistinct');\n  docs.setIntersect = require('./function/set/setIntersect');\n  docs.setIsSubset = require('./function/set/setIsSubset');\n  docs.setMultiplicity = require('./function/set/setMultiplicity');\n  docs.setPowerset = require('./function/set/setPowerset');\n  docs.setSize = require('./function/set/setSize');\n  docs.setSymDifference = require('./function/set/setSymDifference');\n  docs.setUnion = require('./function/set/setUnion'); // functions - special\n\n  docs.erf = require('./function/special/erf'); // functions - statistics\n\n  docs.mad = require('./function/statistics/mad');\n  docs.max = require('./function/statistics/max');\n  docs.mean = require('./function/statistics/mean');\n  docs.median = require('./function/statistics/median');\n  docs.min = require('./function/statistics/min');\n  docs.mode = require('./function/statistics/mode');\n  docs.prod = require('./function/statistics/prod');\n  docs.quantileSeq = require('./function/statistics/quantileSeq');\n  docs.std = require('./function/statistics/std');\n  docs.sum = require('./function/statistics/sum');\n  docs['var'] = require('./function/statistics/var'); // functions - trigonometry\n\n  docs.acos = require('./function/trigonometry/acos');\n  docs.acosh = require('./function/trigonometry/acosh');\n  docs.acot = require('./function/trigonometry/acot');\n  docs.acoth = require('./function/trigonometry/acoth');\n  docs.acsc = require('./function/trigonometry/acsc');\n  docs.acsch = require('./function/trigonometry/acsch');\n  docs.asec = require('./function/trigonometry/asec');\n  docs.asech = require('./function/trigonometry/asech');\n  docs.asin = require('./function/trigonometry/asin');\n  docs.asinh = require('./function/trigonometry/asinh');\n  docs.atan = require('./function/trigonometry/atan');\n  docs.atanh = require('./function/trigonometry/atanh');\n  docs.atan2 = require('./function/trigonometry/atan2');\n  docs.cos = require('./function/trigonometry/cos');\n  docs.cosh = require('./function/trigonometry/cosh');\n  docs.cot = require('./function/trigonometry/cot');\n  docs.coth = require('./function/trigonometry/coth');\n  docs.csc = require('./function/trigonometry/csc');\n  docs.csch = require('./function/trigonometry/csch');\n  docs.sec = require('./function/trigonometry/sec');\n  docs.sech = require('./function/trigonometry/sech');\n  docs.sin = require('./function/trigonometry/sin');\n  docs.sinh = require('./function/trigonometry/sinh');\n  docs.tan = require('./function/trigonometry/tan');\n  docs.tanh = require('./function/trigonometry/tanh'); // functions - units\n\n  docs.to = require('./function/units/to'); // functions - utils\n\n  docs.clone = require('./function/utils/clone');\n  docs.format = require('./function/utils/format');\n  docs.isNaN = require('./function/utils/isNaN');\n  docs.isInteger = require('./function/utils/isInteger');\n  docs.isNegative = require('./function/utils/isNegative');\n  docs.isNumeric = require('./function/utils/isNumeric');\n  docs.isPositive = require('./function/utils/isPositive');\n  docs.isPrime = require('./function/utils/isPrime');\n  docs.isZero = require('./function/utils/isZero'); // docs.print = require('./function/utils/print') // TODO: add documentation for print as soon as the parser supports objects.\n\n  docs['typeof'] = require('./function/utils/typeof');\n  return docs;\n}\n\nexports.name = 'docs';\nexports.path = 'expression';\nexports.factory = factory;","\"use strict\";\n\nmodule.exports = {\n  'name': 'e',\n  'category': 'Constants',\n  'syntax': ['e'],\n  'description': 'Euler\\'s number, the base of the natural logarithm. Approximately equal to 2.71828',\n  'examples': ['e', 'e ^ 2', 'exp(2)', 'log(e)'],\n  'seealso': ['exp']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'pi',\n  'category': 'Constants',\n  'syntax': ['pi'],\n  'description': 'The number pi is a mathematical constant that is the ratio of a circle\\'s circumference to its diameter, and is approximately equal to 3.14159',\n  'examples': ['pi', 'sin(pi/2)'],\n  'seealso': ['tau']\n};","'use strict';\n\nfunction factory(type, config, load, typed, math) {\n  var Parser = load(require('../Parser'));\n  /**\n   * Create a parser. The function creates a new `math.expression.Parser` object.\n   *\n   * Syntax:\n   *\n   *    math.parser()\n   *\n   * Examples:\n   *\n   *     const parser = new math.parser()\n   *\n   *     // evaluate expressions\n   *     const a = parser.eval('sqrt(3^2 + 4^2)') // 5\n   *     const b = parser.eval('sqrt(-4)')        // 2i\n   *     const c = parser.eval('2 inch in cm')    // 5.08 cm\n   *     const d = parser.eval('cos(45 deg)')     // 0.7071067811865476\n   *\n   *     // define variables and functions\n   *     parser.eval('x = 7 / 2')                 // 3.5\n   *     parser.eval('x + 3')                     // 6.5\n   *     parser.eval('function f(x, y) = x^y')    // f(x, y)\n   *     parser.eval('f(2, 3)')                   // 8\n   *\n   *     // get and set variables and functions\n   *     const x = parser.get('x')                // 7\n   *     const f = parser.get('f')                // function\n   *     const g = f(3, 2)                        // 9\n   *     parser.set('h', 500)\n   *     const i = parser.eval('h / 2')           // 250\n   *     parser.set('hello', function (name) {\n   *       return 'hello, ' + name + '!'\n   *     })\n   *     parser.eval('hello(\"user\")')           // \"hello, user!\"\n   *\n   *     // clear defined functions and variables\n   *     parser.clear()\n   *\n   * See also:\n   *\n   *    eval, compile, parse\n   *\n   * @return {Parser} Parser\n   */\n\n  return typed('parser', {\n    '': function _() {\n      return new Parser(math);\n    }\n  });\n}\n\nexports.name = 'parser';\nexports.factory = factory;\nexports.math = true; // requires the math namespace as 5th argument","'use strict';\n\nvar extend = require('../utils/object').extend;\n\nvar customs = require('../utils/customs');\n\nfunction factory(type, config, load, typed, math) {\n  var _parse = load(require('./parse'));\n  /**\n   * @constructor Parser\n   * Parser contains methods to evaluate or parse expressions, and has a number\n   * of convenience methods to get, set, and remove variables from memory. Parser\n   * keeps a scope containing variables in memory, which is used for all\n   * evaluations.\n   *\n   * Methods:\n   *    const result = parser.eval(expr)  // evaluate an expression\n   *    const value = parser.get(name)    // retrieve a variable from the parser\n   *    const values = parser.getAll()    // retrieve all defined variables\n   *    parser.set(name, value)           // set a variable in the parser\n   *    parser.remove(name)               // clear a variable from the\n   *                                      // parsers scope\n   *    parser.clear()                    // clear the parsers scope\n   *\n   * Example usage:\n   *    const parser = new Parser()\n   *    // Note: there is a convenience method which can be used instead:\n   *    // const parser = new math.parser()\n   *\n   *    // evaluate expressions\n   *    parser.eval('sqrt(3^2 + 4^2)')         // 5\n   *    parser.eval('sqrt(-4)')                // 2i\n   *    parser.eval('2 inch in cm')            // 5.08 cm\n   *    parser.eval('cos(45 deg)')             // 0.7071067811865476\n   *\n   *    // define variables and functions\n   *    parser.eval('x = 7 / 2')               // 3.5\n   *    parser.eval('x + 3')                   // 6.5\n   *    parser.eval('function f(x, y) = x^y')  // f(x, y)\n   *    parser.eval('f(2, 3)')                 // 8\n   *\n   *    // get and set variables and functions\n   *    const x = parser.get('x')              // 7\n   *    const f = parser.get('f')              // function\n   *    const g = f(3, 2)                      // 9\n   *    parser.set('h', 500)\n   *    const i = parser.eval('h / 2')         // 250\n   *    parser.set('hello', function (name) {\n   *        return 'hello, ' + name + '!'\n   *    })\n   *    parser.eval('hello(\"user\")')           // \"hello, user!\"\n   *\n   *    // clear defined functions and variables\n   *    parser.clear()\n   *\n   */\n\n\n  function Parser() {\n    if (!(this instanceof Parser)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    this.scope = {};\n  }\n  /**\n   * Attach type information\n   */\n\n\n  Parser.prototype.type = 'Parser';\n  Parser.prototype.isParser = true;\n  /**\n   * Parse an expression and return the parsed function node.\n   * The node tree can be compiled via `code = node.compile(math)`,\n   * and the compiled code can be executed as `code.eval([scope])`\n   * @param {string} expr\n   * @return {Node} node\n   * @throws {Error}\n   */\n\n  Parser.prototype.parse = function (expr) {\n    throw new Error('Parser.parse is deprecated. Use math.parse instead.');\n  };\n  /**\n   * Parse and compile an expression, return the compiled javascript code.\n   * The node can be evaluated via code.eval([scope])\n   * @param {string} expr\n   * @return {{eval: function}} code\n   * @throws {Error}\n   */\n\n\n  Parser.prototype.compile = function (expr) {\n    throw new Error('Parser.compile is deprecated. Use math.compile instead.');\n  };\n  /**\n   * Parse and evaluate the given expression\n   * @param {string} expr   A string containing an expression, for example \"2+3\"\n   * @return {*} result     The result, or undefined when the expression was empty\n   * @throws {Error}\n   */\n\n\n  Parser.prototype.eval = function (expr) {\n    // TODO: validate arguments\n    return _parse(expr).compile().eval(this.scope);\n  };\n  /**\n   * Get a variable (a function or variable) by name from the parsers scope.\n   * Returns undefined when not found\n   * @param {string} name\n   * @return {* | undefined} value\n   */\n\n\n  Parser.prototype.get = function (name) {\n    // TODO: validate arguments\n    return name in this.scope ? customs.getSafeProperty(this.scope, name) : undefined;\n  };\n  /**\n   * Get a map with all defined variables\n   * @return {Object} values\n   */\n\n\n  Parser.prototype.getAll = function () {\n    return extend({}, this.scope);\n  };\n  /**\n   * Set a symbol (a function or variable) by name from the parsers scope.\n   * @param {string} name\n   * @param {* | undefined} value\n   */\n\n\n  Parser.prototype.set = function (name, value) {\n    // TODO: validate arguments\n    return customs.setSafeProperty(this.scope, name, value);\n  };\n  /**\n   * Remove a variable from the parsers scope\n   * @param {string} name\n   */\n\n\n  Parser.prototype.remove = function (name) {\n    // TODO: validate arguments\n    delete this.scope[name];\n  };\n  /**\n   * Clear the scope with variables and functions\n   */\n\n\n  Parser.prototype.clear = function () {\n    for (var name in this.scope) {\n      if (this.scope.hasOwnProperty(name)) {\n        delete this.scope[name];\n      }\n    }\n  };\n\n  return Parser;\n}\n\nexports.name = 'Parser';\nexports.path = 'expression';\nexports.factory = factory;\nexports.math = true; // requires the math namespace as 5th argument","//! moment.js\n;\n\n(function (global, factory) {\n  typeof exports === 'object' && typeof module !== 'undefined' ? module.exports = factory() : typeof define === 'function' && define.amd ? define(factory) : global.moment = factory();\n})(this, function () {\n  'use strict';\n\n  var hookCallback;\n\n  function hooks() {\n    return hookCallback.apply(null, arguments);\n  } // This is done to register the method called with moment()\n  // without creating circular dependencies.\n\n\n  function setHookCallback(callback) {\n    hookCallback = callback;\n  }\n\n  function isArray(input) {\n    return input instanceof Array || Object.prototype.toString.call(input) === '[object Array]';\n  }\n\n  function isObject(input) {\n    // IE8 will treat undefined and null as object if it wasn't for\n    // input != null\n    return input != null && Object.prototype.toString.call(input) === '[object Object]';\n  }\n\n  function isObjectEmpty(obj) {\n    if (Object.getOwnPropertyNames) {\n      return Object.getOwnPropertyNames(obj).length === 0;\n    } else {\n      var k;\n\n      for (k in obj) {\n        if (obj.hasOwnProperty(k)) {\n          return false;\n        }\n      }\n\n      return true;\n    }\n  }\n\n  function isUndefined(input) {\n    return input === void 0;\n  }\n\n  function isNumber(input) {\n    return typeof input === 'number' || Object.prototype.toString.call(input) === '[object Number]';\n  }\n\n  function isDate(input) {\n    return input instanceof Date || Object.prototype.toString.call(input) === '[object Date]';\n  }\n\n  function map(arr, fn) {\n    var res = [],\n        i;\n\n    for (i = 0; i < arr.length; ++i) {\n      res.push(fn(arr[i], i));\n    }\n\n    return res;\n  }\n\n  function hasOwnProp(a, b) {\n    return Object.prototype.hasOwnProperty.call(a, b);\n  }\n\n  function extend(a, b) {\n    for (var i in b) {\n      if (hasOwnProp(b, i)) {\n        a[i] = b[i];\n      }\n    }\n\n    if (hasOwnProp(b, 'toString')) {\n      a.toString = b.toString;\n    }\n\n    if (hasOwnProp(b, 'valueOf')) {\n      a.valueOf = b.valueOf;\n    }\n\n    return a;\n  }\n\n  function createUTC(input, format, locale, strict) {\n    return createLocalOrUTC(input, format, locale, strict, true).utc();\n  }\n\n  function defaultParsingFlags() {\n    // We need to deep clone this object.\n    return {\n      empty: false,\n      unusedTokens: [],\n      unusedInput: [],\n      overflow: -2,\n      charsLeftOver: 0,\n      nullInput: false,\n      invalidMonth: null,\n      invalidFormat: false,\n      userInvalidated: false,\n      iso: false,\n      parsedDateParts: [],\n      meridiem: null,\n      rfc2822: false,\n      weekdayMismatch: false\n    };\n  }\n\n  function getParsingFlags(m) {\n    if (m._pf == null) {\n      m._pf = defaultParsingFlags();\n    }\n\n    return m._pf;\n  }\n\n  var some;\n\n  if (Array.prototype.some) {\n    some = Array.prototype.some;\n  } else {\n    some = function some(fun) {\n      var t = Object(this);\n      var len = t.length >>> 0;\n\n      for (var i = 0; i < len; i++) {\n        if (i in t && fun.call(this, t[i], i, t)) {\n          return true;\n        }\n      }\n\n      return false;\n    };\n  }\n\n  function isValid(m) {\n    if (m._isValid == null) {\n      var flags = getParsingFlags(m);\n      var parsedParts = some.call(flags.parsedDateParts, function (i) {\n        return i != null;\n      });\n      var isNowValid = !isNaN(m._d.getTime()) && flags.overflow < 0 && !flags.empty && !flags.invalidMonth && !flags.invalidWeekday && !flags.weekdayMismatch && !flags.nullInput && !flags.invalidFormat && !flags.userInvalidated && (!flags.meridiem || flags.meridiem && parsedParts);\n\n      if (m._strict) {\n        isNowValid = isNowValid && flags.charsLeftOver === 0 && flags.unusedTokens.length === 0 && flags.bigHour === undefined;\n      }\n\n      if (Object.isFrozen == null || !Object.isFrozen(m)) {\n        m._isValid = isNowValid;\n      } else {\n        return isNowValid;\n      }\n    }\n\n    return m._isValid;\n  }\n\n  function createInvalid(flags) {\n    var m = createUTC(NaN);\n\n    if (flags != null) {\n      extend(getParsingFlags(m), flags);\n    } else {\n      getParsingFlags(m).userInvalidated = true;\n    }\n\n    return m;\n  } // Plugins that add properties should also add the key here (null value),\n  // so we can properly clone ourselves.\n\n\n  var momentProperties = hooks.momentProperties = [];\n\n  function copyConfig(to, from) {\n    var i, prop, val;\n\n    if (!isUndefined(from._isAMomentObject)) {\n      to._isAMomentObject = from._isAMomentObject;\n    }\n\n    if (!isUndefined(from._i)) {\n      to._i = from._i;\n    }\n\n    if (!isUndefined(from._f)) {\n      to._f = from._f;\n    }\n\n    if (!isUndefined(from._l)) {\n      to._l = from._l;\n    }\n\n    if (!isUndefined(from._strict)) {\n      to._strict = from._strict;\n    }\n\n    if (!isUndefined(from._tzm)) {\n      to._tzm = from._tzm;\n    }\n\n    if (!isUndefined(from._isUTC)) {\n      to._isUTC = from._isUTC;\n    }\n\n    if (!isUndefined(from._offset)) {\n      to._offset = from._offset;\n    }\n\n    if (!isUndefined(from._pf)) {\n      to._pf = getParsingFlags(from);\n    }\n\n    if (!isUndefined(from._locale)) {\n      to._locale = from._locale;\n    }\n\n    if (momentProperties.length > 0) {\n      for (i = 0; i < momentProperties.length; i++) {\n        prop = momentProperties[i];\n        val = from[prop];\n\n        if (!isUndefined(val)) {\n          to[prop] = val;\n        }\n      }\n    }\n\n    return to;\n  }\n\n  var updateInProgress = false; // Moment prototype object\n\n  function Moment(config) {\n    copyConfig(this, config);\n    this._d = new Date(config._d != null ? config._d.getTime() : NaN);\n\n    if (!this.isValid()) {\n      this._d = new Date(NaN);\n    } // Prevent infinite loop in case updateOffset creates new moment\n    // objects.\n\n\n    if (updateInProgress === false) {\n      updateInProgress = true;\n      hooks.updateOffset(this);\n      updateInProgress = false;\n    }\n  }\n\n  function isMoment(obj) {\n    return obj instanceof Moment || obj != null && obj._isAMomentObject != null;\n  }\n\n  function absFloor(number) {\n    if (number < 0) {\n      // -0 -> 0\n      return Math.ceil(number) || 0;\n    } else {\n      return Math.floor(number);\n    }\n  }\n\n  function toInt(argumentForCoercion) {\n    var coercedNumber = +argumentForCoercion,\n        value = 0;\n\n    if (coercedNumber !== 0 && isFinite(coercedNumber)) {\n      value = absFloor(coercedNumber);\n    }\n\n    return value;\n  } // compare two arrays, return the number of differences\n\n\n  function compareArrays(array1, array2, dontConvert) {\n    var len = Math.min(array1.length, array2.length),\n        lengthDiff = Math.abs(array1.length - array2.length),\n        diffs = 0,\n        i;\n\n    for (i = 0; i < len; i++) {\n      if (dontConvert && array1[i] !== array2[i] || !dontConvert && toInt(array1[i]) !== toInt(array2[i])) {\n        diffs++;\n      }\n    }\n\n    return diffs + lengthDiff;\n  }\n\n  function warn(msg) {\n    if (hooks.suppressDeprecationWarnings === false && typeof console !== 'undefined' && console.warn) {\n      console.warn('Deprecation warning: ' + msg);\n    }\n  }\n\n  function deprecate(msg, fn) {\n    var firstTime = true;\n    return extend(function () {\n      if (hooks.deprecationHandler != null) {\n        hooks.deprecationHandler(null, msg);\n      }\n\n      if (firstTime) {\n        var args = [];\n        var arg;\n\n        for (var i = 0; i < arguments.length; i++) {\n          arg = '';\n\n          if (typeof arguments[i] === 'object') {\n            arg += '\\n[' + i + '] ';\n\n            for (var key in arguments[0]) {\n              arg += key + ': ' + arguments[0][key] + ', ';\n            }\n\n            arg = arg.slice(0, -2); // Remove trailing comma and space\n          } else {\n            arg = arguments[i];\n          }\n\n          args.push(arg);\n        }\n\n        warn(msg + '\\nArguments: ' + Array.prototype.slice.call(args).join('') + '\\n' + new Error().stack);\n        firstTime = false;\n      }\n\n      return fn.apply(this, arguments);\n    }, fn);\n  }\n\n  var deprecations = {};\n\n  function deprecateSimple(name, msg) {\n    if (hooks.deprecationHandler != null) {\n      hooks.deprecationHandler(name, msg);\n    }\n\n    if (!deprecations[name]) {\n      warn(msg);\n      deprecations[name] = true;\n    }\n  }\n\n  hooks.suppressDeprecationWarnings = false;\n  hooks.deprecationHandler = null;\n\n  function isFunction(input) {\n    return input instanceof Function || Object.prototype.toString.call(input) === '[object Function]';\n  }\n\n  function set(config) {\n    var prop, i;\n\n    for (i in config) {\n      prop = config[i];\n\n      if (isFunction(prop)) {\n        this[i] = prop;\n      } else {\n        this['_' + i] = prop;\n      }\n    }\n\n    this._config = config; // Lenient ordinal parsing accepts just a number in addition to\n    // number + (possibly) stuff coming from _dayOfMonthOrdinalParse.\n    // TODO: Remove \"ordinalParse\" fallback in next major release.\n\n    this._dayOfMonthOrdinalParseLenient = new RegExp((this._dayOfMonthOrdinalParse.source || this._ordinalParse.source) + '|' + /\\d{1,2}/.source);\n  }\n\n  function mergeConfigs(parentConfig, childConfig) {\n    var res = extend({}, parentConfig),\n        prop;\n\n    for (prop in childConfig) {\n      if (hasOwnProp(childConfig, prop)) {\n        if (isObject(parentConfig[prop]) && isObject(childConfig[prop])) {\n          res[prop] = {};\n          extend(res[prop], parentConfig[prop]);\n          extend(res[prop], childConfig[prop]);\n        } else if (childConfig[prop] != null) {\n          res[prop] = childConfig[prop];\n        } else {\n          delete res[prop];\n        }\n      }\n    }\n\n    for (prop in parentConfig) {\n      if (hasOwnProp(parentConfig, prop) && !hasOwnProp(childConfig, prop) && isObject(parentConfig[prop])) {\n        // make sure changes to properties don't modify parent config\n        res[prop] = extend({}, res[prop]);\n      }\n    }\n\n    return res;\n  }\n\n  function Locale(config) {\n    if (config != null) {\n      this.set(config);\n    }\n  }\n\n  var keys;\n\n  if (Object.keys) {\n    keys = Object.keys;\n  } else {\n    keys = function keys(obj) {\n      var i,\n          res = [];\n\n      for (i in obj) {\n        if (hasOwnProp(obj, i)) {\n          res.push(i);\n        }\n      }\n\n      return res;\n    };\n  }\n\n  var defaultCalendar = {\n    sameDay: '[Today at] LT',\n    nextDay: '[Tomorrow at] LT',\n    nextWeek: 'dddd [at] LT',\n    lastDay: '[Yesterday at] LT',\n    lastWeek: '[Last] dddd [at] LT',\n    sameElse: 'L'\n  };\n\n  function calendar(key, mom, now) {\n    var output = this._calendar[key] || this._calendar['sameElse'];\n    return isFunction(output) ? output.call(mom, now) : output;\n  }\n\n  var defaultLongDateFormat = {\n    LTS: 'h:mm:ss A',\n    LT: 'h:mm A',\n    L: 'MM/DD/YYYY',\n    LL: 'MMMM D, YYYY',\n    LLL: 'MMMM D, YYYY h:mm A',\n    LLLL: 'dddd, MMMM D, YYYY h:mm A'\n  };\n\n  function longDateFormat(key) {\n    var format = this._longDateFormat[key],\n        formatUpper = this._longDateFormat[key.toUpperCase()];\n\n    if (format || !formatUpper) {\n      return format;\n    }\n\n    this._longDateFormat[key] = formatUpper.replace(/MMMM|MM|DD|dddd/g, function (val) {\n      return val.slice(1);\n    });\n    return this._longDateFormat[key];\n  }\n\n  var defaultInvalidDate = 'Invalid date';\n\n  function invalidDate() {\n    return this._invalidDate;\n  }\n\n  var defaultOrdinal = '%d';\n  var defaultDayOfMonthOrdinalParse = /\\d{1,2}/;\n\n  function ordinal(number) {\n    return this._ordinal.replace('%d', number);\n  }\n\n  var defaultRelativeTime = {\n    future: 'in %s',\n    past: '%s ago',\n    s: 'a few seconds',\n    ss: '%d seconds',\n    m: 'a minute',\n    mm: '%d minutes',\n    h: 'an hour',\n    hh: '%d hours',\n    d: 'a day',\n    dd: '%d days',\n    M: 'a month',\n    MM: '%d months',\n    y: 'a year',\n    yy: '%d years'\n  };\n\n  function relativeTime(number, withoutSuffix, string, isFuture) {\n    var output = this._relativeTime[string];\n    return isFunction(output) ? output(number, withoutSuffix, string, isFuture) : output.replace(/%d/i, number);\n  }\n\n  function pastFuture(diff, output) {\n    var format = this._relativeTime[diff > 0 ? 'future' : 'past'];\n    return isFunction(format) ? format(output) : format.replace(/%s/i, output);\n  }\n\n  var aliases = {};\n\n  function addUnitAlias(unit, shorthand) {\n    var lowerCase = unit.toLowerCase();\n    aliases[lowerCase] = aliases[lowerCase + 's'] = aliases[shorthand] = unit;\n  }\n\n  function normalizeUnits(units) {\n    return typeof units === 'string' ? aliases[units] || aliases[units.toLowerCase()] : undefined;\n  }\n\n  function normalizeObjectUnits(inputObject) {\n    var normalizedInput = {},\n        normalizedProp,\n        prop;\n\n    for (prop in inputObject) {\n      if (hasOwnProp(inputObject, prop)) {\n        normalizedProp = normalizeUnits(prop);\n\n        if (normalizedProp) {\n          normalizedInput[normalizedProp] = inputObject[prop];\n        }\n      }\n    }\n\n    return normalizedInput;\n  }\n\n  var priorities = {};\n\n  function addUnitPriority(unit, priority) {\n    priorities[unit] = priority;\n  }\n\n  function getPrioritizedUnits(unitsObj) {\n    var units = [];\n\n    for (var u in unitsObj) {\n      units.push({\n        unit: u,\n        priority: priorities[u]\n      });\n    }\n\n    units.sort(function (a, b) {\n      return a.priority - b.priority;\n    });\n    return units;\n  }\n\n  function zeroFill(number, targetLength, forceSign) {\n    var absNumber = '' + Math.abs(number),\n        zerosToFill = targetLength - absNumber.length,\n        sign = number >= 0;\n    return (sign ? forceSign ? '+' : '' : '-') + Math.pow(10, Math.max(0, zerosToFill)).toString().substr(1) + absNumber;\n  }\n\n  var formattingTokens = /(\\[[^\\[]*\\])|(\\\\)?([Hh]mm(ss)?|Mo|MM?M?M?|Do|DDDo|DD?D?D?|ddd?d?|do?|w[o|w]?|W[o|W]?|Qo?|YYYYYY|YYYYY|YYYY|YY|gg(ggg?)?|GG(GGG?)?|e|E|a|A|hh?|HH?|kk?|mm?|ss?|S{1,9}|x|X|zz?|ZZ?|.)/g;\n  var localFormattingTokens = /(\\[[^\\[]*\\])|(\\\\)?(LTS|LT|LL?L?L?|l{1,4})/g;\n  var formatFunctions = {};\n  var formatTokenFunctions = {}; // token:    'M'\n  // padded:   ['MM', 2]\n  // ordinal:  'Mo'\n  // callback: function () { this.month() + 1 }\n\n  function addFormatToken(token, padded, ordinal, callback) {\n    var func = callback;\n\n    if (typeof callback === 'string') {\n      func = function func() {\n        return this[callback]();\n      };\n    }\n\n    if (token) {\n      formatTokenFunctions[token] = func;\n    }\n\n    if (padded) {\n      formatTokenFunctions[padded[0]] = function () {\n        return zeroFill(func.apply(this, arguments), padded[1], padded[2]);\n      };\n    }\n\n    if (ordinal) {\n      formatTokenFunctions[ordinal] = function () {\n        return this.localeData().ordinal(func.apply(this, arguments), token);\n      };\n    }\n  }\n\n  function removeFormattingTokens(input) {\n    if (input.match(/\\[[\\s\\S]/)) {\n      return input.replace(/^\\[|\\]$/g, '');\n    }\n\n    return input.replace(/\\\\/g, '');\n  }\n\n  function makeFormatFunction(format) {\n    var array = format.match(formattingTokens),\n        i,\n        length;\n\n    for (i = 0, length = array.length; i < length; i++) {\n      if (formatTokenFunctions[array[i]]) {\n        array[i] = formatTokenFunctions[array[i]];\n      } else {\n        array[i] = removeFormattingTokens(array[i]);\n      }\n    }\n\n    return function (mom) {\n      var output = '',\n          i;\n\n      for (i = 0; i < length; i++) {\n        output += isFunction(array[i]) ? array[i].call(mom, format) : array[i];\n      }\n\n      return output;\n    };\n  } // format date using native date object\n\n\n  function formatMoment(m, format) {\n    if (!m.isValid()) {\n      return m.localeData().invalidDate();\n    }\n\n    format = expandFormat(format, m.localeData());\n    formatFunctions[format] = formatFunctions[format] || makeFormatFunction(format);\n    return formatFunctions[format](m);\n  }\n\n  function expandFormat(format, locale) {\n    var i = 5;\n\n    function replaceLongDateFormatTokens(input) {\n      return locale.longDateFormat(input) || input;\n    }\n\n    localFormattingTokens.lastIndex = 0;\n\n    while (i >= 0 && localFormattingTokens.test(format)) {\n      format = format.replace(localFormattingTokens, replaceLongDateFormatTokens);\n      localFormattingTokens.lastIndex = 0;\n      i -= 1;\n    }\n\n    return format;\n  }\n\n  var match1 = /\\d/; //       0 - 9\n\n  var match2 = /\\d\\d/; //      00 - 99\n\n  var match3 = /\\d{3}/; //     000 - 999\n\n  var match4 = /\\d{4}/; //    0000 - 9999\n\n  var match6 = /[+-]?\\d{6}/; // -999999 - 999999\n\n  var match1to2 = /\\d\\d?/; //       0 - 99\n\n  var match3to4 = /\\d\\d\\d\\d?/; //     999 - 9999\n\n  var match5to6 = /\\d\\d\\d\\d\\d\\d?/; //   99999 - 999999\n\n  var match1to3 = /\\d{1,3}/; //       0 - 999\n\n  var match1to4 = /\\d{1,4}/; //       0 - 9999\n\n  var match1to6 = /[+-]?\\d{1,6}/; // -999999 - 999999\n\n  var matchUnsigned = /\\d+/; //       0 - inf\n\n  var matchSigned = /[+-]?\\d+/; //    -inf - inf\n\n  var matchOffset = /Z|[+-]\\d\\d:?\\d\\d/gi; // +00:00 -00:00 +0000 -0000 or Z\n\n  var matchShortOffset = /Z|[+-]\\d\\d(?::?\\d\\d)?/gi; // +00 -00 +00:00 -00:00 +0000 -0000 or Z\n\n  var matchTimestamp = /[+-]?\\d+(\\.\\d{1,3})?/; // 123456789 123456789.123\n  // any word (or two) characters or numbers including two/three word month in arabic.\n  // includes scottish gaelic two word and hyphenated months\n\n  var matchWord = /[0-9]{0,256}['a-z\\u00A0-\\u05FF\\u0700-\\uD7FF\\uF900-\\uFDCF\\uFDF0-\\uFF07\\uFF10-\\uFFEF]{1,256}|[\\u0600-\\u06FF\\/]{1,256}(\\s*?[\\u0600-\\u06FF]{1,256}){1,2}/i;\n  var regexes = {};\n\n  function addRegexToken(token, regex, strictRegex) {\n    regexes[token] = isFunction(regex) ? regex : function (isStrict, localeData) {\n      return isStrict && strictRegex ? strictRegex : regex;\n    };\n  }\n\n  function getParseRegexForToken(token, config) {\n    if (!hasOwnProp(regexes, token)) {\n      return new RegExp(unescapeFormat(token));\n    }\n\n    return regexes[token](config._strict, config._locale);\n  } // Code from http://stackoverflow.com/questions/3561493/is-there-a-regexp-escape-function-in-javascript\n\n\n  function unescapeFormat(s) {\n    return regexEscape(s.replace('\\\\', '').replace(/\\\\(\\[)|\\\\(\\])|\\[([^\\]\\[]*)\\]|\\\\(.)/g, function (matched, p1, p2, p3, p4) {\n      return p1 || p2 || p3 || p4;\n    }));\n  }\n\n  function regexEscape(s) {\n    return s.replace(/[-\\/\\\\^$*+?.()|[\\]{}]/g, '\\\\$&');\n  }\n\n  var tokens = {};\n\n  function addParseToken(token, callback) {\n    var i,\n        func = callback;\n\n    if (typeof token === 'string') {\n      token = [token];\n    }\n\n    if (isNumber(callback)) {\n      func = function func(input, array) {\n        array[callback] = toInt(input);\n      };\n    }\n\n    for (i = 0; i < token.length; i++) {\n      tokens[token[i]] = func;\n    }\n  }\n\n  function addWeekParseToken(token, callback) {\n    addParseToken(token, function (input, array, config, token) {\n      config._w = config._w || {};\n      callback(input, config._w, config, token);\n    });\n  }\n\n  function addTimeToArrayFromToken(token, input, config) {\n    if (input != null && hasOwnProp(tokens, token)) {\n      tokens[token](input, config._a, config, token);\n    }\n  }\n\n  var YEAR = 0;\n  var MONTH = 1;\n  var DATE = 2;\n  var HOUR = 3;\n  var MINUTE = 4;\n  var SECOND = 5;\n  var MILLISECOND = 6;\n  var WEEK = 7;\n  var WEEKDAY = 8; // FORMATTING\n\n  addFormatToken('Y', 0, 0, function () {\n    var y = this.year();\n    return y <= 9999 ? '' + y : '+' + y;\n  });\n  addFormatToken(0, ['YY', 2], 0, function () {\n    return this.year() % 100;\n  });\n  addFormatToken(0, ['YYYY', 4], 0, 'year');\n  addFormatToken(0, ['YYYYY', 5], 0, 'year');\n  addFormatToken(0, ['YYYYYY', 6, true], 0, 'year'); // ALIASES\n\n  addUnitAlias('year', 'y'); // PRIORITIES\n\n  addUnitPriority('year', 1); // PARSING\n\n  addRegexToken('Y', matchSigned);\n  addRegexToken('YY', match1to2, match2);\n  addRegexToken('YYYY', match1to4, match4);\n  addRegexToken('YYYYY', match1to6, match6);\n  addRegexToken('YYYYYY', match1to6, match6);\n  addParseToken(['YYYYY', 'YYYYYY'], YEAR);\n  addParseToken('YYYY', function (input, array) {\n    array[YEAR] = input.length === 2 ? hooks.parseTwoDigitYear(input) : toInt(input);\n  });\n  addParseToken('YY', function (input, array) {\n    array[YEAR] = hooks.parseTwoDigitYear(input);\n  });\n  addParseToken('Y', function (input, array) {\n    array[YEAR] = parseInt(input, 10);\n  }); // HELPERS\n\n  function daysInYear(year) {\n    return isLeapYear(year) ? 366 : 365;\n  }\n\n  function isLeapYear(year) {\n    return year % 4 === 0 && year % 100 !== 0 || year % 400 === 0;\n  } // HOOKS\n\n\n  hooks.parseTwoDigitYear = function (input) {\n    return toInt(input) + (toInt(input) > 68 ? 1900 : 2000);\n  }; // MOMENTS\n\n\n  var getSetYear = makeGetSet('FullYear', true);\n\n  function getIsLeapYear() {\n    return isLeapYear(this.year());\n  }\n\n  function makeGetSet(unit, keepTime) {\n    return function (value) {\n      if (value != null) {\n        set$1(this, unit, value);\n        hooks.updateOffset(this, keepTime);\n        return this;\n      } else {\n        return get(this, unit);\n      }\n    };\n  }\n\n  function get(mom, unit) {\n    return mom.isValid() ? mom._d['get' + (mom._isUTC ? 'UTC' : '') + unit]() : NaN;\n  }\n\n  function set$1(mom, unit, value) {\n    if (mom.isValid() && !isNaN(value)) {\n      if (unit === 'FullYear' && isLeapYear(mom.year()) && mom.month() === 1 && mom.date() === 29) {\n        mom._d['set' + (mom._isUTC ? 'UTC' : '') + unit](value, mom.month(), daysInMonth(value, mom.month()));\n      } else {\n        mom._d['set' + (mom._isUTC ? 'UTC' : '') + unit](value);\n      }\n    }\n  } // MOMENTS\n\n\n  function stringGet(units) {\n    units = normalizeUnits(units);\n\n    if (isFunction(this[units])) {\n      return this[units]();\n    }\n\n    return this;\n  }\n\n  function stringSet(units, value) {\n    if (typeof units === 'object') {\n      units = normalizeObjectUnits(units);\n      var prioritized = getPrioritizedUnits(units);\n\n      for (var i = 0; i < prioritized.length; i++) {\n        this[prioritized[i].unit](units[prioritized[i].unit]);\n      }\n    } else {\n      units = normalizeUnits(units);\n\n      if (isFunction(this[units])) {\n        return this[units](value);\n      }\n    }\n\n    return this;\n  }\n\n  function mod(n, x) {\n    return (n % x + x) % x;\n  }\n\n  var indexOf;\n\n  if (Array.prototype.indexOf) {\n    indexOf = Array.prototype.indexOf;\n  } else {\n    indexOf = function indexOf(o) {\n      // I know\n      var i;\n\n      for (i = 0; i < this.length; ++i) {\n        if (this[i] === o) {\n          return i;\n        }\n      }\n\n      return -1;\n    };\n  }\n\n  function daysInMonth(year, month) {\n    if (isNaN(year) || isNaN(month)) {\n      return NaN;\n    }\n\n    var modMonth = mod(month, 12);\n    year += (month - modMonth) / 12;\n    return modMonth === 1 ? isLeapYear(year) ? 29 : 28 : 31 - modMonth % 7 % 2;\n  } // FORMATTING\n\n\n  addFormatToken('M', ['MM', 2], 'Mo', function () {\n    return this.month() + 1;\n  });\n  addFormatToken('MMM', 0, 0, function (format) {\n    return this.localeData().monthsShort(this, format);\n  });\n  addFormatToken('MMMM', 0, 0, function (format) {\n    return this.localeData().months(this, format);\n  }); // ALIASES\n\n  addUnitAlias('month', 'M'); // PRIORITY\n\n  addUnitPriority('month', 8); // PARSING\n\n  addRegexToken('M', match1to2);\n  addRegexToken('MM', match1to2, match2);\n  addRegexToken('MMM', function (isStrict, locale) {\n    return locale.monthsShortRegex(isStrict);\n  });\n  addRegexToken('MMMM', function (isStrict, locale) {\n    return locale.monthsRegex(isStrict);\n  });\n  addParseToken(['M', 'MM'], function (input, array) {\n    array[MONTH] = toInt(input) - 1;\n  });\n  addParseToken(['MMM', 'MMMM'], function (input, array, config, token) {\n    var month = config._locale.monthsParse(input, token, config._strict); // if we didn't find a month name, mark the date as invalid.\n\n\n    if (month != null) {\n      array[MONTH] = month;\n    } else {\n      getParsingFlags(config).invalidMonth = input;\n    }\n  }); // LOCALES\n\n  var MONTHS_IN_FORMAT = /D[oD]?(\\[[^\\[\\]]*\\]|\\s)+MMMM?/;\n  var defaultLocaleMonths = 'January_February_March_April_May_June_July_August_September_October_November_December'.split('_');\n\n  function localeMonths(m, format) {\n    if (!m) {\n      return isArray(this._months) ? this._months : this._months['standalone'];\n    }\n\n    return isArray(this._months) ? this._months[m.month()] : this._months[(this._months.isFormat || MONTHS_IN_FORMAT).test(format) ? 'format' : 'standalone'][m.month()];\n  }\n\n  var defaultLocaleMonthsShort = 'Jan_Feb_Mar_Apr_May_Jun_Jul_Aug_Sep_Oct_Nov_Dec'.split('_');\n\n  function localeMonthsShort(m, format) {\n    if (!m) {\n      return isArray(this._monthsShort) ? this._monthsShort : this._monthsShort['standalone'];\n    }\n\n    return isArray(this._monthsShort) ? this._monthsShort[m.month()] : this._monthsShort[MONTHS_IN_FORMAT.test(format) ? 'format' : 'standalone'][m.month()];\n  }\n\n  function handleStrictParse(monthName, format, strict) {\n    var i,\n        ii,\n        mom,\n        llc = monthName.toLocaleLowerCase();\n\n    if (!this._monthsParse) {\n      // this is not used\n      this._monthsParse = [];\n      this._longMonthsParse = [];\n      this._shortMonthsParse = [];\n\n      for (i = 0; i < 12; ++i) {\n        mom = createUTC([2000, i]);\n        this._shortMonthsParse[i] = this.monthsShort(mom, '').toLocaleLowerCase();\n        this._longMonthsParse[i] = this.months(mom, '').toLocaleLowerCase();\n      }\n    }\n\n    if (strict) {\n      if (format === 'MMM') {\n        ii = indexOf.call(this._shortMonthsParse, llc);\n        return ii !== -1 ? ii : null;\n      } else {\n        ii = indexOf.call(this._longMonthsParse, llc);\n        return ii !== -1 ? ii : null;\n      }\n    } else {\n      if (format === 'MMM') {\n        ii = indexOf.call(this._shortMonthsParse, llc);\n\n        if (ii !== -1) {\n          return ii;\n        }\n\n        ii = indexOf.call(this._longMonthsParse, llc);\n        return ii !== -1 ? ii : null;\n      } else {\n        ii = indexOf.call(this._longMonthsParse, llc);\n\n        if (ii !== -1) {\n          return ii;\n        }\n\n        ii = indexOf.call(this._shortMonthsParse, llc);\n        return ii !== -1 ? ii : null;\n      }\n    }\n  }\n\n  function localeMonthsParse(monthName, format, strict) {\n    var i, mom, regex;\n\n    if (this._monthsParseExact) {\n      return handleStrictParse.call(this, monthName, format, strict);\n    }\n\n    if (!this._monthsParse) {\n      this._monthsParse = [];\n      this._longMonthsParse = [];\n      this._shortMonthsParse = [];\n    } // TODO: add sorting\n    // Sorting makes sure if one month (or abbr) is a prefix of another\n    // see sorting in computeMonthsParse\n\n\n    for (i = 0; i < 12; i++) {\n      // make the regex if we don't have it already\n      mom = createUTC([2000, i]);\n\n      if (strict && !this._longMonthsParse[i]) {\n        this._longMonthsParse[i] = new RegExp('^' + this.months(mom, '').replace('.', '') + '$', 'i');\n        this._shortMonthsParse[i] = new RegExp('^' + this.monthsShort(mom, '').replace('.', '') + '$', 'i');\n      }\n\n      if (!strict && !this._monthsParse[i]) {\n        regex = '^' + this.months(mom, '') + '|^' + this.monthsShort(mom, '');\n        this._monthsParse[i] = new RegExp(regex.replace('.', ''), 'i');\n      } // test the regex\n\n\n      if (strict && format === 'MMMM' && this._longMonthsParse[i].test(monthName)) {\n        return i;\n      } else if (strict && format === 'MMM' && this._shortMonthsParse[i].test(monthName)) {\n        return i;\n      } else if (!strict && this._monthsParse[i].test(monthName)) {\n        return i;\n      }\n    }\n  } // MOMENTS\n\n\n  function setMonth(mom, value) {\n    var dayOfMonth;\n\n    if (!mom.isValid()) {\n      // No op\n      return mom;\n    }\n\n    if (typeof value === 'string') {\n      if (/^\\d+$/.test(value)) {\n        value = toInt(value);\n      } else {\n        value = mom.localeData().monthsParse(value); // TODO: Another silent failure?\n\n        if (!isNumber(value)) {\n          return mom;\n        }\n      }\n    }\n\n    dayOfMonth = Math.min(mom.date(), daysInMonth(mom.year(), value));\n\n    mom._d['set' + (mom._isUTC ? 'UTC' : '') + 'Month'](value, dayOfMonth);\n\n    return mom;\n  }\n\n  function getSetMonth(value) {\n    if (value != null) {\n      setMonth(this, value);\n      hooks.updateOffset(this, true);\n      return this;\n    } else {\n      return get(this, 'Month');\n    }\n  }\n\n  function getDaysInMonth() {\n    return daysInMonth(this.year(), this.month());\n  }\n\n  var defaultMonthsShortRegex = matchWord;\n\n  function monthsShortRegex(isStrict) {\n    if (this._monthsParseExact) {\n      if (!hasOwnProp(this, '_monthsRegex')) {\n        computeMonthsParse.call(this);\n      }\n\n      if (isStrict) {\n        return this._monthsShortStrictRegex;\n      } else {\n        return this._monthsShortRegex;\n      }\n    } else {\n      if (!hasOwnProp(this, '_monthsShortRegex')) {\n        this._monthsShortRegex = defaultMonthsShortRegex;\n      }\n\n      return this._monthsShortStrictRegex && isStrict ? this._monthsShortStrictRegex : this._monthsShortRegex;\n    }\n  }\n\n  var defaultMonthsRegex = matchWord;\n\n  function monthsRegex(isStrict) {\n    if (this._monthsParseExact) {\n      if (!hasOwnProp(this, '_monthsRegex')) {\n        computeMonthsParse.call(this);\n      }\n\n      if (isStrict) {\n        return this._monthsStrictRegex;\n      } else {\n        return this._monthsRegex;\n      }\n    } else {\n      if (!hasOwnProp(this, '_monthsRegex')) {\n        this._monthsRegex = defaultMonthsRegex;\n      }\n\n      return this._monthsStrictRegex && isStrict ? this._monthsStrictRegex : this._monthsRegex;\n    }\n  }\n\n  function computeMonthsParse() {\n    function cmpLenRev(a, b) {\n      return b.length - a.length;\n    }\n\n    var shortPieces = [],\n        longPieces = [],\n        mixedPieces = [],\n        i,\n        mom;\n\n    for (i = 0; i < 12; i++) {\n      // make the regex if we don't have it already\n      mom = createUTC([2000, i]);\n      shortPieces.push(this.monthsShort(mom, ''));\n      longPieces.push(this.months(mom, ''));\n      mixedPieces.push(this.months(mom, ''));\n      mixedPieces.push(this.monthsShort(mom, ''));\n    } // Sorting makes sure if one month (or abbr) is a prefix of another it\n    // will match the longer piece.\n\n\n    shortPieces.sort(cmpLenRev);\n    longPieces.sort(cmpLenRev);\n    mixedPieces.sort(cmpLenRev);\n\n    for (i = 0; i < 12; i++) {\n      shortPieces[i] = regexEscape(shortPieces[i]);\n      longPieces[i] = regexEscape(longPieces[i]);\n    }\n\n    for (i = 0; i < 24; i++) {\n      mixedPieces[i] = regexEscape(mixedPieces[i]);\n    }\n\n    this._monthsRegex = new RegExp('^(' + mixedPieces.join('|') + ')', 'i');\n    this._monthsShortRegex = this._monthsRegex;\n    this._monthsStrictRegex = new RegExp('^(' + longPieces.join('|') + ')', 'i');\n    this._monthsShortStrictRegex = new RegExp('^(' + shortPieces.join('|') + ')', 'i');\n  }\n\n  function createDate(y, m, d, h, M, s, ms) {\n    // can't just apply() to create a date:\n    // https://stackoverflow.com/q/181348\n    var date = new Date(y, m, d, h, M, s, ms); // the date constructor remaps years 0-99 to 1900-1999\n\n    if (y < 100 && y >= 0 && isFinite(date.getFullYear())) {\n      date.setFullYear(y);\n    }\n\n    return date;\n  }\n\n  function createUTCDate(y) {\n    var date = new Date(Date.UTC.apply(null, arguments)); // the Date.UTC function remaps years 0-99 to 1900-1999\n\n    if (y < 100 && y >= 0 && isFinite(date.getUTCFullYear())) {\n      date.setUTCFullYear(y);\n    }\n\n    return date;\n  } // start-of-first-week - start-of-year\n\n\n  function firstWeekOffset(year, dow, doy) {\n    var // first-week day -- which january is always in the first week (4 for iso, 1 for other)\n    fwd = 7 + dow - doy,\n        // first-week day local weekday -- which local weekday is fwd\n    fwdlw = (7 + createUTCDate(year, 0, fwd).getUTCDay() - dow) % 7;\n    return -fwdlw + fwd - 1;\n  } // https://en.wikipedia.org/wiki/ISO_week_date#Calculating_a_date_given_the_year.2C_week_number_and_weekday\n\n\n  function dayOfYearFromWeeks(year, week, weekday, dow, doy) {\n    var localWeekday = (7 + weekday - dow) % 7,\n        weekOffset = firstWeekOffset(year, dow, doy),\n        dayOfYear = 1 + 7 * (week - 1) + localWeekday + weekOffset,\n        resYear,\n        resDayOfYear;\n\n    if (dayOfYear <= 0) {\n      resYear = year - 1;\n      resDayOfYear = daysInYear(resYear) + dayOfYear;\n    } else if (dayOfYear > daysInYear(year)) {\n      resYear = year + 1;\n      resDayOfYear = dayOfYear - daysInYear(year);\n    } else {\n      resYear = year;\n      resDayOfYear = dayOfYear;\n    }\n\n    return {\n      year: resYear,\n      dayOfYear: resDayOfYear\n    };\n  }\n\n  function weekOfYear(mom, dow, doy) {\n    var weekOffset = firstWeekOffset(mom.year(), dow, doy),\n        week = Math.floor((mom.dayOfYear() - weekOffset - 1) / 7) + 1,\n        resWeek,\n        resYear;\n\n    if (week < 1) {\n      resYear = mom.year() - 1;\n      resWeek = week + weeksInYear(resYear, dow, doy);\n    } else if (week > weeksInYear(mom.year(), dow, doy)) {\n      resWeek = week - weeksInYear(mom.year(), dow, doy);\n      resYear = mom.year() + 1;\n    } else {\n      resYear = mom.year();\n      resWeek = week;\n    }\n\n    return {\n      week: resWeek,\n      year: resYear\n    };\n  }\n\n  function weeksInYear(year, dow, doy) {\n    var weekOffset = firstWeekOffset(year, dow, doy),\n        weekOffsetNext = firstWeekOffset(year + 1, dow, doy);\n    return (daysInYear(year) - weekOffset + weekOffsetNext) / 7;\n  } // FORMATTING\n\n\n  addFormatToken('w', ['ww', 2], 'wo', 'week');\n  addFormatToken('W', ['WW', 2], 'Wo', 'isoWeek'); // ALIASES\n\n  addUnitAlias('week', 'w');\n  addUnitAlias('isoWeek', 'W'); // PRIORITIES\n\n  addUnitPriority('week', 5);\n  addUnitPriority('isoWeek', 5); // PARSING\n\n  addRegexToken('w', match1to2);\n  addRegexToken('ww', match1to2, match2);\n  addRegexToken('W', match1to2);\n  addRegexToken('WW', match1to2, match2);\n  addWeekParseToken(['w', 'ww', 'W', 'WW'], function (input, week, config, token) {\n    week[token.substr(0, 1)] = toInt(input);\n  }); // HELPERS\n  // LOCALES\n\n  function localeWeek(mom) {\n    return weekOfYear(mom, this._week.dow, this._week.doy).week;\n  }\n\n  var defaultLocaleWeek = {\n    dow: 0,\n    // Sunday is the first day of the week.\n    doy: 6 // The week that contains Jan 1st is the first week of the year.\n\n  };\n\n  function localeFirstDayOfWeek() {\n    return this._week.dow;\n  }\n\n  function localeFirstDayOfYear() {\n    return this._week.doy;\n  } // MOMENTS\n\n\n  function getSetWeek(input) {\n    var week = this.localeData().week(this);\n    return input == null ? week : this.add((input - week) * 7, 'd');\n  }\n\n  function getSetISOWeek(input) {\n    var week = weekOfYear(this, 1, 4).week;\n    return input == null ? week : this.add((input - week) * 7, 'd');\n  } // FORMATTING\n\n\n  addFormatToken('d', 0, 'do', 'day');\n  addFormatToken('dd', 0, 0, function (format) {\n    return this.localeData().weekdaysMin(this, format);\n  });\n  addFormatToken('ddd', 0, 0, function (format) {\n    return this.localeData().weekdaysShort(this, format);\n  });\n  addFormatToken('dddd', 0, 0, function (format) {\n    return this.localeData().weekdays(this, format);\n  });\n  addFormatToken('e', 0, 0, 'weekday');\n  addFormatToken('E', 0, 0, 'isoWeekday'); // ALIASES\n\n  addUnitAlias('day', 'd');\n  addUnitAlias('weekday', 'e');\n  addUnitAlias('isoWeekday', 'E'); // PRIORITY\n\n  addUnitPriority('day', 11);\n  addUnitPriority('weekday', 11);\n  addUnitPriority('isoWeekday', 11); // PARSING\n\n  addRegexToken('d', match1to2);\n  addRegexToken('e', match1to2);\n  addRegexToken('E', match1to2);\n  addRegexToken('dd', function (isStrict, locale) {\n    return locale.weekdaysMinRegex(isStrict);\n  });\n  addRegexToken('ddd', function (isStrict, locale) {\n    return locale.weekdaysShortRegex(isStrict);\n  });\n  addRegexToken('dddd', function (isStrict, locale) {\n    return locale.weekdaysRegex(isStrict);\n  });\n  addWeekParseToken(['dd', 'ddd', 'dddd'], function (input, week, config, token) {\n    var weekday = config._locale.weekdaysParse(input, token, config._strict); // if we didn't get a weekday name, mark the date as invalid\n\n\n    if (weekday != null) {\n      week.d = weekday;\n    } else {\n      getParsingFlags(config).invalidWeekday = input;\n    }\n  });\n  addWeekParseToken(['d', 'e', 'E'], function (input, week, config, token) {\n    week[token] = toInt(input);\n  }); // HELPERS\n\n  function parseWeekday(input, locale) {\n    if (typeof input !== 'string') {\n      return input;\n    }\n\n    if (!isNaN(input)) {\n      return parseInt(input, 10);\n    }\n\n    input = locale.weekdaysParse(input);\n\n    if (typeof input === 'number') {\n      return input;\n    }\n\n    return null;\n  }\n\n  function parseIsoWeekday(input, locale) {\n    if (typeof input === 'string') {\n      return locale.weekdaysParse(input) % 7 || 7;\n    }\n\n    return isNaN(input) ? null : input;\n  } // LOCALES\n\n\n  var defaultLocaleWeekdays = 'Sunday_Monday_Tuesday_Wednesday_Thursday_Friday_Saturday'.split('_');\n\n  function localeWeekdays(m, format) {\n    if (!m) {\n      return isArray(this._weekdays) ? this._weekdays : this._weekdays['standalone'];\n    }\n\n    return isArray(this._weekdays) ? this._weekdays[m.day()] : this._weekdays[this._weekdays.isFormat.test(format) ? 'format' : 'standalone'][m.day()];\n  }\n\n  var defaultLocaleWeekdaysShort = 'Sun_Mon_Tue_Wed_Thu_Fri_Sat'.split('_');\n\n  function localeWeekdaysShort(m) {\n    return m ? this._weekdaysShort[m.day()] : this._weekdaysShort;\n  }\n\n  var defaultLocaleWeekdaysMin = 'Su_Mo_Tu_We_Th_Fr_Sa'.split('_');\n\n  function localeWeekdaysMin(m) {\n    return m ? this._weekdaysMin[m.day()] : this._weekdaysMin;\n  }\n\n  function handleStrictParse$1(weekdayName, format, strict) {\n    var i,\n        ii,\n        mom,\n        llc = weekdayName.toLocaleLowerCase();\n\n    if (!this._weekdaysParse) {\n      this._weekdaysParse = [];\n      this._shortWeekdaysParse = [];\n      this._minWeekdaysParse = [];\n\n      for (i = 0; i < 7; ++i) {\n        mom = createUTC([2000, 1]).day(i);\n        this._minWeekdaysParse[i] = this.weekdaysMin(mom, '').toLocaleLowerCase();\n        this._shortWeekdaysParse[i] = this.weekdaysShort(mom, '').toLocaleLowerCase();\n        this._weekdaysParse[i] = this.weekdays(mom, '').toLocaleLowerCase();\n      }\n    }\n\n    if (strict) {\n      if (format === 'dddd') {\n        ii = indexOf.call(this._weekdaysParse, llc);\n        return ii !== -1 ? ii : null;\n      } else if (format === 'ddd') {\n        ii = indexOf.call(this._shortWeekdaysParse, llc);\n        return ii !== -1 ? ii : null;\n      } else {\n        ii = indexOf.call(this._minWeekdaysParse, llc);\n        return ii !== -1 ? ii : null;\n      }\n    } else {\n      if (format === 'dddd') {\n        ii = indexOf.call(this._weekdaysParse, llc);\n\n        if (ii !== -1) {\n          return ii;\n        }\n\n        ii = indexOf.call(this._shortWeekdaysParse, llc);\n\n        if (ii !== -1) {\n          return ii;\n        }\n\n        ii = indexOf.call(this._minWeekdaysParse, llc);\n        return ii !== -1 ? ii : null;\n      } else if (format === 'ddd') {\n        ii = indexOf.call(this._shortWeekdaysParse, llc);\n\n        if (ii !== -1) {\n          return ii;\n        }\n\n        ii = indexOf.call(this._weekdaysParse, llc);\n\n        if (ii !== -1) {\n          return ii;\n        }\n\n        ii = indexOf.call(this._minWeekdaysParse, llc);\n        return ii !== -1 ? ii : null;\n      } else {\n        ii = indexOf.call(this._minWeekdaysParse, llc);\n\n        if (ii !== -1) {\n          return ii;\n        }\n\n        ii = indexOf.call(this._weekdaysParse, llc);\n\n        if (ii !== -1) {\n          return ii;\n        }\n\n        ii = indexOf.call(this._shortWeekdaysParse, llc);\n        return ii !== -1 ? ii : null;\n      }\n    }\n  }\n\n  function localeWeekdaysParse(weekdayName, format, strict) {\n    var i, mom, regex;\n\n    if (this._weekdaysParseExact) {\n      return handleStrictParse$1.call(this, weekdayName, format, strict);\n    }\n\n    if (!this._weekdaysParse) {\n      this._weekdaysParse = [];\n      this._minWeekdaysParse = [];\n      this._shortWeekdaysParse = [];\n      this._fullWeekdaysParse = [];\n    }\n\n    for (i = 0; i < 7; i++) {\n      // make the regex if we don't have it already\n      mom = createUTC([2000, 1]).day(i);\n\n      if (strict && !this._fullWeekdaysParse[i]) {\n        this._fullWeekdaysParse[i] = new RegExp('^' + this.weekdays(mom, '').replace('.', '\\\\.?') + '$', 'i');\n        this._shortWeekdaysParse[i] = new RegExp('^' + this.weekdaysShort(mom, '').replace('.', '\\\\.?') + '$', 'i');\n        this._minWeekdaysParse[i] = new RegExp('^' + this.weekdaysMin(mom, '').replace('.', '\\\\.?') + '$', 'i');\n      }\n\n      if (!this._weekdaysParse[i]) {\n        regex = '^' + this.weekdays(mom, '') + '|^' + this.weekdaysShort(mom, '') + '|^' + this.weekdaysMin(mom, '');\n        this._weekdaysParse[i] = new RegExp(regex.replace('.', ''), 'i');\n      } // test the regex\n\n\n      if (strict && format === 'dddd' && this._fullWeekdaysParse[i].test(weekdayName)) {\n        return i;\n      } else if (strict && format === 'ddd' && this._shortWeekdaysParse[i].test(weekdayName)) {\n        return i;\n      } else if (strict && format === 'dd' && this._minWeekdaysParse[i].test(weekdayName)) {\n        return i;\n      } else if (!strict && this._weekdaysParse[i].test(weekdayName)) {\n        return i;\n      }\n    }\n  } // MOMENTS\n\n\n  function getSetDayOfWeek(input) {\n    if (!this.isValid()) {\n      return input != null ? this : NaN;\n    }\n\n    var day = this._isUTC ? this._d.getUTCDay() : this._d.getDay();\n\n    if (input != null) {\n      input = parseWeekday(input, this.localeData());\n      return this.add(input - day, 'd');\n    } else {\n      return day;\n    }\n  }\n\n  function getSetLocaleDayOfWeek(input) {\n    if (!this.isValid()) {\n      return input != null ? this : NaN;\n    }\n\n    var weekday = (this.day() + 7 - this.localeData()._week.dow) % 7;\n    return input == null ? weekday : this.add(input - weekday, 'd');\n  }\n\n  function getSetISODayOfWeek(input) {\n    if (!this.isValid()) {\n      return input != null ? this : NaN;\n    } // behaves the same as moment#day except\n    // as a getter, returns 7 instead of 0 (1-7 range instead of 0-6)\n    // as a setter, sunday should belong to the previous week.\n\n\n    if (input != null) {\n      var weekday = parseIsoWeekday(input, this.localeData());\n      return this.day(this.day() % 7 ? weekday : weekday - 7);\n    } else {\n      return this.day() || 7;\n    }\n  }\n\n  var defaultWeekdaysRegex = matchWord;\n\n  function weekdaysRegex(isStrict) {\n    if (this._weekdaysParseExact) {\n      if (!hasOwnProp(this, '_weekdaysRegex')) {\n        computeWeekdaysParse.call(this);\n      }\n\n      if (isStrict) {\n        return this._weekdaysStrictRegex;\n      } else {\n        return this._weekdaysRegex;\n      }\n    } else {\n      if (!hasOwnProp(this, '_weekdaysRegex')) {\n        this._weekdaysRegex = defaultWeekdaysRegex;\n      }\n\n      return this._weekdaysStrictRegex && isStrict ? this._weekdaysStrictRegex : this._weekdaysRegex;\n    }\n  }\n\n  var defaultWeekdaysShortRegex = matchWord;\n\n  function weekdaysShortRegex(isStrict) {\n    if (this._weekdaysParseExact) {\n      if (!hasOwnProp(this, '_weekdaysRegex')) {\n        computeWeekdaysParse.call(this);\n      }\n\n      if (isStrict) {\n        return this._weekdaysShortStrictRegex;\n      } else {\n        return this._weekdaysShortRegex;\n      }\n    } else {\n      if (!hasOwnProp(this, '_weekdaysShortRegex')) {\n        this._weekdaysShortRegex = defaultWeekdaysShortRegex;\n      }\n\n      return this._weekdaysShortStrictRegex && isStrict ? this._weekdaysShortStrictRegex : this._weekdaysShortRegex;\n    }\n  }\n\n  var defaultWeekdaysMinRegex = matchWord;\n\n  function weekdaysMinRegex(isStrict) {\n    if (this._weekdaysParseExact) {\n      if (!hasOwnProp(this, '_weekdaysRegex')) {\n        computeWeekdaysParse.call(this);\n      }\n\n      if (isStrict) {\n        return this._weekdaysMinStrictRegex;\n      } else {\n        return this._weekdaysMinRegex;\n      }\n    } else {\n      if (!hasOwnProp(this, '_weekdaysMinRegex')) {\n        this._weekdaysMinRegex = defaultWeekdaysMinRegex;\n      }\n\n      return this._weekdaysMinStrictRegex && isStrict ? this._weekdaysMinStrictRegex : this._weekdaysMinRegex;\n    }\n  }\n\n  function computeWeekdaysParse() {\n    function cmpLenRev(a, b) {\n      return b.length - a.length;\n    }\n\n    var minPieces = [],\n        shortPieces = [],\n        longPieces = [],\n        mixedPieces = [],\n        i,\n        mom,\n        minp,\n        shortp,\n        longp;\n\n    for (i = 0; i < 7; i++) {\n      // make the regex if we don't have it already\n      mom = createUTC([2000, 1]).day(i);\n      minp = this.weekdaysMin(mom, '');\n      shortp = this.weekdaysShort(mom, '');\n      longp = this.weekdays(mom, '');\n      minPieces.push(minp);\n      shortPieces.push(shortp);\n      longPieces.push(longp);\n      mixedPieces.push(minp);\n      mixedPieces.push(shortp);\n      mixedPieces.push(longp);\n    } // Sorting makes sure if one weekday (or abbr) is a prefix of another it\n    // will match the longer piece.\n\n\n    minPieces.sort(cmpLenRev);\n    shortPieces.sort(cmpLenRev);\n    longPieces.sort(cmpLenRev);\n    mixedPieces.sort(cmpLenRev);\n\n    for (i = 0; i < 7; i++) {\n      shortPieces[i] = regexEscape(shortPieces[i]);\n      longPieces[i] = regexEscape(longPieces[i]);\n      mixedPieces[i] = regexEscape(mixedPieces[i]);\n    }\n\n    this._weekdaysRegex = new RegExp('^(' + mixedPieces.join('|') + ')', 'i');\n    this._weekdaysShortRegex = this._weekdaysRegex;\n    this._weekdaysMinRegex = this._weekdaysRegex;\n    this._weekdaysStrictRegex = new RegExp('^(' + longPieces.join('|') + ')', 'i');\n    this._weekdaysShortStrictRegex = new RegExp('^(' + shortPieces.join('|') + ')', 'i');\n    this._weekdaysMinStrictRegex = new RegExp('^(' + minPieces.join('|') + ')', 'i');\n  } // FORMATTING\n\n\n  function hFormat() {\n    return this.hours() % 12 || 12;\n  }\n\n  function kFormat() {\n    return this.hours() || 24;\n  }\n\n  addFormatToken('H', ['HH', 2], 0, 'hour');\n  addFormatToken('h', ['hh', 2], 0, hFormat);\n  addFormatToken('k', ['kk', 2], 0, kFormat);\n  addFormatToken('hmm', 0, 0, function () {\n    return '' + hFormat.apply(this) + zeroFill(this.minutes(), 2);\n  });\n  addFormatToken('hmmss', 0, 0, function () {\n    return '' + hFormat.apply(this) + zeroFill(this.minutes(), 2) + zeroFill(this.seconds(), 2);\n  });\n  addFormatToken('Hmm', 0, 0, function () {\n    return '' + this.hours() + zeroFill(this.minutes(), 2);\n  });\n  addFormatToken('Hmmss', 0, 0, function () {\n    return '' + this.hours() + zeroFill(this.minutes(), 2) + zeroFill(this.seconds(), 2);\n  });\n\n  function meridiem(token, lowercase) {\n    addFormatToken(token, 0, 0, function () {\n      return this.localeData().meridiem(this.hours(), this.minutes(), lowercase);\n    });\n  }\n\n  meridiem('a', true);\n  meridiem('A', false); // ALIASES\n\n  addUnitAlias('hour', 'h'); // PRIORITY\n\n  addUnitPriority('hour', 13); // PARSING\n\n  function matchMeridiem(isStrict, locale) {\n    return locale._meridiemParse;\n  }\n\n  addRegexToken('a', matchMeridiem);\n  addRegexToken('A', matchMeridiem);\n  addRegexToken('H', match1to2);\n  addRegexToken('h', match1to2);\n  addRegexToken('k', match1to2);\n  addRegexToken('HH', match1to2, match2);\n  addRegexToken('hh', match1to2, match2);\n  addRegexToken('kk', match1to2, match2);\n  addRegexToken('hmm', match3to4);\n  addRegexToken('hmmss', match5to6);\n  addRegexToken('Hmm', match3to4);\n  addRegexToken('Hmmss', match5to6);\n  addParseToken(['H', 'HH'], HOUR);\n  addParseToken(['k', 'kk'], function (input, array, config) {\n    var kInput = toInt(input);\n    array[HOUR] = kInput === 24 ? 0 : kInput;\n  });\n  addParseToken(['a', 'A'], function (input, array, config) {\n    config._isPm = config._locale.isPM(input);\n    config._meridiem = input;\n  });\n  addParseToken(['h', 'hh'], function (input, array, config) {\n    array[HOUR] = toInt(input);\n    getParsingFlags(config).bigHour = true;\n  });\n  addParseToken('hmm', function (input, array, config) {\n    var pos = input.length - 2;\n    array[HOUR] = toInt(input.substr(0, pos));\n    array[MINUTE] = toInt(input.substr(pos));\n    getParsingFlags(config).bigHour = true;\n  });\n  addParseToken('hmmss', function (input, array, config) {\n    var pos1 = input.length - 4;\n    var pos2 = input.length - 2;\n    array[HOUR] = toInt(input.substr(0, pos1));\n    array[MINUTE] = toInt(input.substr(pos1, 2));\n    array[SECOND] = toInt(input.substr(pos2));\n    getParsingFlags(config).bigHour = true;\n  });\n  addParseToken('Hmm', function (input, array, config) {\n    var pos = input.length - 2;\n    array[HOUR] = toInt(input.substr(0, pos));\n    array[MINUTE] = toInt(input.substr(pos));\n  });\n  addParseToken('Hmmss', function (input, array, config) {\n    var pos1 = input.length - 4;\n    var pos2 = input.length - 2;\n    array[HOUR] = toInt(input.substr(0, pos1));\n    array[MINUTE] = toInt(input.substr(pos1, 2));\n    array[SECOND] = toInt(input.substr(pos2));\n  }); // LOCALES\n\n  function localeIsPM(input) {\n    // IE8 Quirks Mode & IE7 Standards Mode do not allow accessing strings like arrays\n    // Using charAt should be more compatible.\n    return (input + '').toLowerCase().charAt(0) === 'p';\n  }\n\n  var defaultLocaleMeridiemParse = /[ap]\\.?m?\\.?/i;\n\n  function localeMeridiem(hours, minutes, isLower) {\n    if (hours > 11) {\n      return isLower ? 'pm' : 'PM';\n    } else {\n      return isLower ? 'am' : 'AM';\n    }\n  } // MOMENTS\n  // Setting the hour should keep the time, because the user explicitly\n  // specified which hour they want. So trying to maintain the same hour (in\n  // a new timezone) makes sense. Adding/subtracting hours does not follow\n  // this rule.\n\n\n  var getSetHour = makeGetSet('Hours', true);\n  var baseConfig = {\n    calendar: defaultCalendar,\n    longDateFormat: defaultLongDateFormat,\n    invalidDate: defaultInvalidDate,\n    ordinal: defaultOrdinal,\n    dayOfMonthOrdinalParse: defaultDayOfMonthOrdinalParse,\n    relativeTime: defaultRelativeTime,\n    months: defaultLocaleMonths,\n    monthsShort: defaultLocaleMonthsShort,\n    week: defaultLocaleWeek,\n    weekdays: defaultLocaleWeekdays,\n    weekdaysMin: defaultLocaleWeekdaysMin,\n    weekdaysShort: defaultLocaleWeekdaysShort,\n    meridiemParse: defaultLocaleMeridiemParse\n  }; // internal storage for locale config files\n\n  var locales = {};\n  var localeFamilies = {};\n  var globalLocale;\n\n  function normalizeLocale(key) {\n    return key ? key.toLowerCase().replace('_', '-') : key;\n  } // pick the locale from the array\n  // try ['en-au', 'en-gb'] as 'en-au', 'en-gb', 'en', as in move through the list trying each\n  // substring from most specific to least, but move to the next array item if it's a more specific variant than the current root\n\n\n  function chooseLocale(names) {\n    var i = 0,\n        j,\n        next,\n        locale,\n        split;\n\n    while (i < names.length) {\n      split = normalizeLocale(names[i]).split('-');\n      j = split.length;\n      next = normalizeLocale(names[i + 1]);\n      next = next ? next.split('-') : null;\n\n      while (j > 0) {\n        locale = loadLocale(split.slice(0, j).join('-'));\n\n        if (locale) {\n          return locale;\n        }\n\n        if (next && next.length >= j && compareArrays(split, next, true) >= j - 1) {\n          //the next array item is better than a shallower substring of this one\n          break;\n        }\n\n        j--;\n      }\n\n      i++;\n    }\n\n    return globalLocale;\n  }\n\n  function loadLocale(name) {\n    var oldLocale = null; // TODO: Find a better way to register and load all the locales in Node\n\n    if (!locales[name] && typeof module !== 'undefined' && module && module.exports) {\n      try {\n        oldLocale = globalLocale._abbr;\n        var aliasedRequire = require;\n        aliasedRequire('./locale/' + name);\n        getSetGlobalLocale(oldLocale);\n      } catch (e) {}\n    }\n\n    return locales[name];\n  } // This function will load locale and then set the global locale.  If\n  // no arguments are passed in, it will simply return the current global\n  // locale key.\n\n\n  function getSetGlobalLocale(key, values) {\n    var data;\n\n    if (key) {\n      if (isUndefined(values)) {\n        data = getLocale(key);\n      } else {\n        data = defineLocale(key, values);\n      }\n\n      if (data) {\n        // moment.duration._locale = moment._locale = data;\n        globalLocale = data;\n      } else {\n        if (typeof console !== 'undefined' && console.warn) {\n          //warn user if arguments are passed but the locale could not be set\n          console.warn('Locale ' + key + ' not found. Did you forget to load it?');\n        }\n      }\n    }\n\n    return globalLocale._abbr;\n  }\n\n  function defineLocale(name, config) {\n    if (config !== null) {\n      var locale,\n          parentConfig = baseConfig;\n      config.abbr = name;\n\n      if (locales[name] != null) {\n        deprecateSimple('defineLocaleOverride', 'use moment.updateLocale(localeName, config) to change ' + 'an existing locale. moment.defineLocale(localeName, ' + 'config) should only be used for creating a new locale ' + 'See http://momentjs.com/guides/#/warnings/define-locale/ for more info.');\n        parentConfig = locales[name]._config;\n      } else if (config.parentLocale != null) {\n        if (locales[config.parentLocale] != null) {\n          parentConfig = locales[config.parentLocale]._config;\n        } else {\n          locale = loadLocale(config.parentLocale);\n\n          if (locale != null) {\n            parentConfig = locale._config;\n          } else {\n            if (!localeFamilies[config.parentLocale]) {\n              localeFamilies[config.parentLocale] = [];\n            }\n\n            localeFamilies[config.parentLocale].push({\n              name: name,\n              config: config\n            });\n            return null;\n          }\n        }\n      }\n\n      locales[name] = new Locale(mergeConfigs(parentConfig, config));\n\n      if (localeFamilies[name]) {\n        localeFamilies[name].forEach(function (x) {\n          defineLocale(x.name, x.config);\n        });\n      } // backwards compat for now: also set the locale\n      // make sure we set the locale AFTER all child locales have been\n      // created, so we won't end up with the child locale set.\n\n\n      getSetGlobalLocale(name);\n      return locales[name];\n    } else {\n      // useful for testing\n      delete locales[name];\n      return null;\n    }\n  }\n\n  function updateLocale(name, config) {\n    if (config != null) {\n      var locale,\n          tmpLocale,\n          parentConfig = baseConfig; // MERGE\n\n      tmpLocale = loadLocale(name);\n\n      if (tmpLocale != null) {\n        parentConfig = tmpLocale._config;\n      }\n\n      config = mergeConfigs(parentConfig, config);\n      locale = new Locale(config);\n      locale.parentLocale = locales[name];\n      locales[name] = locale; // backwards compat for now: also set the locale\n\n      getSetGlobalLocale(name);\n    } else {\n      // pass null for config to unupdate, useful for tests\n      if (locales[name] != null) {\n        if (locales[name].parentLocale != null) {\n          locales[name] = locales[name].parentLocale;\n        } else if (locales[name] != null) {\n          delete locales[name];\n        }\n      }\n    }\n\n    return locales[name];\n  } // returns locale data\n\n\n  function getLocale(key) {\n    var locale;\n\n    if (key && key._locale && key._locale._abbr) {\n      key = key._locale._abbr;\n    }\n\n    if (!key) {\n      return globalLocale;\n    }\n\n    if (!isArray(key)) {\n      //short-circuit everything else\n      locale = loadLocale(key);\n\n      if (locale) {\n        return locale;\n      }\n\n      key = [key];\n    }\n\n    return chooseLocale(key);\n  }\n\n  function listLocales() {\n    return keys(locales);\n  }\n\n  function checkOverflow(m) {\n    var overflow;\n    var a = m._a;\n\n    if (a && getParsingFlags(m).overflow === -2) {\n      overflow = a[MONTH] < 0 || a[MONTH] > 11 ? MONTH : a[DATE] < 1 || a[DATE] > daysInMonth(a[YEAR], a[MONTH]) ? DATE : a[HOUR] < 0 || a[HOUR] > 24 || a[HOUR] === 24 && (a[MINUTE] !== 0 || a[SECOND] !== 0 || a[MILLISECOND] !== 0) ? HOUR : a[MINUTE] < 0 || a[MINUTE] > 59 ? MINUTE : a[SECOND] < 0 || a[SECOND] > 59 ? SECOND : a[MILLISECOND] < 0 || a[MILLISECOND] > 999 ? MILLISECOND : -1;\n\n      if (getParsingFlags(m)._overflowDayOfYear && (overflow < YEAR || overflow > DATE)) {\n        overflow = DATE;\n      }\n\n      if (getParsingFlags(m)._overflowWeeks && overflow === -1) {\n        overflow = WEEK;\n      }\n\n      if (getParsingFlags(m)._overflowWeekday && overflow === -1) {\n        overflow = WEEKDAY;\n      }\n\n      getParsingFlags(m).overflow = overflow;\n    }\n\n    return m;\n  } // Pick the first defined of two or three arguments.\n\n\n  function defaults(a, b, c) {\n    if (a != null) {\n      return a;\n    }\n\n    if (b != null) {\n      return b;\n    }\n\n    return c;\n  }\n\n  function currentDateArray(config) {\n    // hooks is actually the exported moment object\n    var nowValue = new Date(hooks.now());\n\n    if (config._useUTC) {\n      return [nowValue.getUTCFullYear(), nowValue.getUTCMonth(), nowValue.getUTCDate()];\n    }\n\n    return [nowValue.getFullYear(), nowValue.getMonth(), nowValue.getDate()];\n  } // convert an array to a date.\n  // the array should mirror the parameters below\n  // note: all values past the year are optional and will default to the lowest possible value.\n  // [year, month, day , hour, minute, second, millisecond]\n\n\n  function configFromArray(config) {\n    var i,\n        date,\n        input = [],\n        currentDate,\n        expectedWeekday,\n        yearToUse;\n\n    if (config._d) {\n      return;\n    }\n\n    currentDate = currentDateArray(config); //compute day of the year from weeks and weekdays\n\n    if (config._w && config._a[DATE] == null && config._a[MONTH] == null) {\n      dayOfYearFromWeekInfo(config);\n    } //if the day of the year is set, figure out what it is\n\n\n    if (config._dayOfYear != null) {\n      yearToUse = defaults(config._a[YEAR], currentDate[YEAR]);\n\n      if (config._dayOfYear > daysInYear(yearToUse) || config._dayOfYear === 0) {\n        getParsingFlags(config)._overflowDayOfYear = true;\n      }\n\n      date = createUTCDate(yearToUse, 0, config._dayOfYear);\n      config._a[MONTH] = date.getUTCMonth();\n      config._a[DATE] = date.getUTCDate();\n    } // Default to current date.\n    // * if no year, month, day of month are given, default to today\n    // * if day of month is given, default month and year\n    // * if month is given, default only year\n    // * if year is given, don't default anything\n\n\n    for (i = 0; i < 3 && config._a[i] == null; ++i) {\n      config._a[i] = input[i] = currentDate[i];\n    } // Zero out whatever was not defaulted, including time\n\n\n    for (; i < 7; i++) {\n      config._a[i] = input[i] = config._a[i] == null ? i === 2 ? 1 : 0 : config._a[i];\n    } // Check for 24:00:00.000\n\n\n    if (config._a[HOUR] === 24 && config._a[MINUTE] === 0 && config._a[SECOND] === 0 && config._a[MILLISECOND] === 0) {\n      config._nextDay = true;\n      config._a[HOUR] = 0;\n    }\n\n    config._d = (config._useUTC ? createUTCDate : createDate).apply(null, input);\n    expectedWeekday = config._useUTC ? config._d.getUTCDay() : config._d.getDay(); // Apply timezone offset from input. The actual utcOffset can be changed\n    // with parseZone.\n\n    if (config._tzm != null) {\n      config._d.setUTCMinutes(config._d.getUTCMinutes() - config._tzm);\n    }\n\n    if (config._nextDay) {\n      config._a[HOUR] = 24;\n    } // check for mismatching day of week\n\n\n    if (config._w && typeof config._w.d !== 'undefined' && config._w.d !== expectedWeekday) {\n      getParsingFlags(config).weekdayMismatch = true;\n    }\n  }\n\n  function dayOfYearFromWeekInfo(config) {\n    var w, weekYear, week, weekday, dow, doy, temp, weekdayOverflow;\n    w = config._w;\n\n    if (w.GG != null || w.W != null || w.E != null) {\n      dow = 1;\n      doy = 4; // TODO: We need to take the current isoWeekYear, but that depends on\n      // how we interpret now (local, utc, fixed offset). So create\n      // a now version of current config (take local/utc/offset flags, and\n      // create now).\n\n      weekYear = defaults(w.GG, config._a[YEAR], weekOfYear(createLocal(), 1, 4).year);\n      week = defaults(w.W, 1);\n      weekday = defaults(w.E, 1);\n\n      if (weekday < 1 || weekday > 7) {\n        weekdayOverflow = true;\n      }\n    } else {\n      dow = config._locale._week.dow;\n      doy = config._locale._week.doy;\n      var curWeek = weekOfYear(createLocal(), dow, doy);\n      weekYear = defaults(w.gg, config._a[YEAR], curWeek.year); // Default to current week.\n\n      week = defaults(w.w, curWeek.week);\n\n      if (w.d != null) {\n        // weekday -- low day numbers are considered next week\n        weekday = w.d;\n\n        if (weekday < 0 || weekday > 6) {\n          weekdayOverflow = true;\n        }\n      } else if (w.e != null) {\n        // local weekday -- counting starts from begining of week\n        weekday = w.e + dow;\n\n        if (w.e < 0 || w.e > 6) {\n          weekdayOverflow = true;\n        }\n      } else {\n        // default to begining of week\n        weekday = dow;\n      }\n    }\n\n    if (week < 1 || week > weeksInYear(weekYear, dow, doy)) {\n      getParsingFlags(config)._overflowWeeks = true;\n    } else if (weekdayOverflow != null) {\n      getParsingFlags(config)._overflowWeekday = true;\n    } else {\n      temp = dayOfYearFromWeeks(weekYear, week, weekday, dow, doy);\n      config._a[YEAR] = temp.year;\n      config._dayOfYear = temp.dayOfYear;\n    }\n  } // iso 8601 regex\n  // 0000-00-00 0000-W00 or 0000-W00-0 + T + 00 or 00:00 or 00:00:00 or 00:00:00.000 + +00:00 or +0000 or +00)\n\n\n  var extendedIsoRegex = /^\\s*((?:[+-]\\d{6}|\\d{4})-(?:\\d\\d-\\d\\d|W\\d\\d-\\d|W\\d\\d|\\d\\d\\d|\\d\\d))(?:(T| )(\\d\\d(?::\\d\\d(?::\\d\\d(?:[.,]\\d+)?)?)?)([\\+\\-]\\d\\d(?::?\\d\\d)?|\\s*Z)?)?$/;\n  var basicIsoRegex = /^\\s*((?:[+-]\\d{6}|\\d{4})(?:\\d\\d\\d\\d|W\\d\\d\\d|W\\d\\d|\\d\\d\\d|\\d\\d))(?:(T| )(\\d\\d(?:\\d\\d(?:\\d\\d(?:[.,]\\d+)?)?)?)([\\+\\-]\\d\\d(?::?\\d\\d)?|\\s*Z)?)?$/;\n  var tzRegex = /Z|[+-]\\d\\d(?::?\\d\\d)?/;\n  var isoDates = [['YYYYYY-MM-DD', /[+-]\\d{6}-\\d\\d-\\d\\d/], ['YYYY-MM-DD', /\\d{4}-\\d\\d-\\d\\d/], ['GGGG-[W]WW-E', /\\d{4}-W\\d\\d-\\d/], ['GGGG-[W]WW', /\\d{4}-W\\d\\d/, false], ['YYYY-DDD', /\\d{4}-\\d{3}/], ['YYYY-MM', /\\d{4}-\\d\\d/, false], ['YYYYYYMMDD', /[+-]\\d{10}/], ['YYYYMMDD', /\\d{8}/], // YYYYMM is NOT allowed by the standard\n  ['GGGG[W]WWE', /\\d{4}W\\d{3}/], ['GGGG[W]WW', /\\d{4}W\\d{2}/, false], ['YYYYDDD', /\\d{7}/]]; // iso time formats and regexes\n\n  var isoTimes = [['HH:mm:ss.SSSS', /\\d\\d:\\d\\d:\\d\\d\\.\\d+/], ['HH:mm:ss,SSSS', /\\d\\d:\\d\\d:\\d\\d,\\d+/], ['HH:mm:ss', /\\d\\d:\\d\\d:\\d\\d/], ['HH:mm', /\\d\\d:\\d\\d/], ['HHmmss.SSSS', /\\d\\d\\d\\d\\d\\d\\.\\d+/], ['HHmmss,SSSS', /\\d\\d\\d\\d\\d\\d,\\d+/], ['HHmmss', /\\d\\d\\d\\d\\d\\d/], ['HHmm', /\\d\\d\\d\\d/], ['HH', /\\d\\d/]];\n  var aspNetJsonRegex = /^\\/?Date\\((\\-?\\d+)/i; // date from iso format\n\n  function configFromISO(config) {\n    var i,\n        l,\n        string = config._i,\n        match = extendedIsoRegex.exec(string) || basicIsoRegex.exec(string),\n        allowTime,\n        dateFormat,\n        timeFormat,\n        tzFormat;\n\n    if (match) {\n      getParsingFlags(config).iso = true;\n\n      for (i = 0, l = isoDates.length; i < l; i++) {\n        if (isoDates[i][1].exec(match[1])) {\n          dateFormat = isoDates[i][0];\n          allowTime = isoDates[i][2] !== false;\n          break;\n        }\n      }\n\n      if (dateFormat == null) {\n        config._isValid = false;\n        return;\n      }\n\n      if (match[3]) {\n        for (i = 0, l = isoTimes.length; i < l; i++) {\n          if (isoTimes[i][1].exec(match[3])) {\n            // match[2] should be 'T' or space\n            timeFormat = (match[2] || ' ') + isoTimes[i][0];\n            break;\n          }\n        }\n\n        if (timeFormat == null) {\n          config._isValid = false;\n          return;\n        }\n      }\n\n      if (!allowTime && timeFormat != null) {\n        config._isValid = false;\n        return;\n      }\n\n      if (match[4]) {\n        if (tzRegex.exec(match[4])) {\n          tzFormat = 'Z';\n        } else {\n          config._isValid = false;\n          return;\n        }\n      }\n\n      config._f = dateFormat + (timeFormat || '') + (tzFormat || '');\n      configFromStringAndFormat(config);\n    } else {\n      config._isValid = false;\n    }\n  } // RFC 2822 regex: For details see https://tools.ietf.org/html/rfc2822#section-3.3\n\n\n  var rfc2822 = /^(?:(Mon|Tue|Wed|Thu|Fri|Sat|Sun),?\\s)?(\\d{1,2})\\s(Jan|Feb|Mar|Apr|May|Jun|Jul|Aug|Sep|Oct|Nov|Dec)\\s(\\d{2,4})\\s(\\d\\d):(\\d\\d)(?::(\\d\\d))?\\s(?:(UT|GMT|[ECMP][SD]T)|([Zz])|([+-]\\d{4}))$/;\n\n  function extractFromRFC2822Strings(yearStr, monthStr, dayStr, hourStr, minuteStr, secondStr) {\n    var result = [untruncateYear(yearStr), defaultLocaleMonthsShort.indexOf(monthStr), parseInt(dayStr, 10), parseInt(hourStr, 10), parseInt(minuteStr, 10)];\n\n    if (secondStr) {\n      result.push(parseInt(secondStr, 10));\n    }\n\n    return result;\n  }\n\n  function untruncateYear(yearStr) {\n    var year = parseInt(yearStr, 10);\n\n    if (year <= 49) {\n      return 2000 + year;\n    } else if (year <= 999) {\n      return 1900 + year;\n    }\n\n    return year;\n  }\n\n  function preprocessRFC2822(s) {\n    // Remove comments and folding whitespace and replace multiple-spaces with a single space\n    return s.replace(/\\([^)]*\\)|[\\n\\t]/g, ' ').replace(/(\\s\\s+)/g, ' ').replace(/^\\s\\s*/, '').replace(/\\s\\s*$/, '');\n  }\n\n  function checkWeekday(weekdayStr, parsedInput, config) {\n    if (weekdayStr) {\n      // TODO: Replace the vanilla JS Date object with an indepentent day-of-week check.\n      var weekdayProvided = defaultLocaleWeekdaysShort.indexOf(weekdayStr),\n          weekdayActual = new Date(parsedInput[0], parsedInput[1], parsedInput[2]).getDay();\n\n      if (weekdayProvided !== weekdayActual) {\n        getParsingFlags(config).weekdayMismatch = true;\n        config._isValid = false;\n        return false;\n      }\n    }\n\n    return true;\n  }\n\n  var obsOffsets = {\n    UT: 0,\n    GMT: 0,\n    EDT: -4 * 60,\n    EST: -5 * 60,\n    CDT: -5 * 60,\n    CST: -6 * 60,\n    MDT: -6 * 60,\n    MST: -7 * 60,\n    PDT: -7 * 60,\n    PST: -8 * 60\n  };\n\n  function calculateOffset(obsOffset, militaryOffset, numOffset) {\n    if (obsOffset) {\n      return obsOffsets[obsOffset];\n    } else if (militaryOffset) {\n      // the only allowed military tz is Z\n      return 0;\n    } else {\n      var hm = parseInt(numOffset, 10);\n      var m = hm % 100,\n          h = (hm - m) / 100;\n      return h * 60 + m;\n    }\n  } // date and time from ref 2822 format\n\n\n  function configFromRFC2822(config) {\n    var match = rfc2822.exec(preprocessRFC2822(config._i));\n\n    if (match) {\n      var parsedArray = extractFromRFC2822Strings(match[4], match[3], match[2], match[5], match[6], match[7]);\n\n      if (!checkWeekday(match[1], parsedArray, config)) {\n        return;\n      }\n\n      config._a = parsedArray;\n      config._tzm = calculateOffset(match[8], match[9], match[10]);\n      config._d = createUTCDate.apply(null, config._a);\n\n      config._d.setUTCMinutes(config._d.getUTCMinutes() - config._tzm);\n\n      getParsingFlags(config).rfc2822 = true;\n    } else {\n      config._isValid = false;\n    }\n  } // date from iso format or fallback\n\n\n  function configFromString(config) {\n    var matched = aspNetJsonRegex.exec(config._i);\n\n    if (matched !== null) {\n      config._d = new Date(+matched[1]);\n      return;\n    }\n\n    configFromISO(config);\n\n    if (config._isValid === false) {\n      delete config._isValid;\n    } else {\n      return;\n    }\n\n    configFromRFC2822(config);\n\n    if (config._isValid === false) {\n      delete config._isValid;\n    } else {\n      return;\n    } // Final attempt, use Input Fallback\n\n\n    hooks.createFromInputFallback(config);\n  }\n\n  hooks.createFromInputFallback = deprecate('value provided is not in a recognized RFC2822 or ISO format. moment construction falls back to js Date(), ' + 'which is not reliable across all browsers and versions. Non RFC2822/ISO date formats are ' + 'discouraged and will be removed in an upcoming major release. Please refer to ' + 'http://momentjs.com/guides/#/warnings/js-date/ for more info.', function (config) {\n    config._d = new Date(config._i + (config._useUTC ? ' UTC' : ''));\n  }); // constant that refers to the ISO standard\n\n  hooks.ISO_8601 = function () {}; // constant that refers to the RFC 2822 form\n\n\n  hooks.RFC_2822 = function () {}; // date from string and format string\n\n\n  function configFromStringAndFormat(config) {\n    // TODO: Move this to another part of the creation flow to prevent circular deps\n    if (config._f === hooks.ISO_8601) {\n      configFromISO(config);\n      return;\n    }\n\n    if (config._f === hooks.RFC_2822) {\n      configFromRFC2822(config);\n      return;\n    }\n\n    config._a = [];\n    getParsingFlags(config).empty = true; // This array is used to make a Date, either with `new Date` or `Date.UTC`\n\n    var string = '' + config._i,\n        i,\n        parsedInput,\n        tokens,\n        token,\n        skipped,\n        stringLength = string.length,\n        totalParsedInputLength = 0;\n    tokens = expandFormat(config._f, config._locale).match(formattingTokens) || [];\n\n    for (i = 0; i < tokens.length; i++) {\n      token = tokens[i];\n      parsedInput = (string.match(getParseRegexForToken(token, config)) || [])[0]; // console.log('token', token, 'parsedInput', parsedInput,\n      //         'regex', getParseRegexForToken(token, config));\n\n      if (parsedInput) {\n        skipped = string.substr(0, string.indexOf(parsedInput));\n\n        if (skipped.length > 0) {\n          getParsingFlags(config).unusedInput.push(skipped);\n        }\n\n        string = string.slice(string.indexOf(parsedInput) + parsedInput.length);\n        totalParsedInputLength += parsedInput.length;\n      } // don't parse if it's not a known token\n\n\n      if (formatTokenFunctions[token]) {\n        if (parsedInput) {\n          getParsingFlags(config).empty = false;\n        } else {\n          getParsingFlags(config).unusedTokens.push(token);\n        }\n\n        addTimeToArrayFromToken(token, parsedInput, config);\n      } else if (config._strict && !parsedInput) {\n        getParsingFlags(config).unusedTokens.push(token);\n      }\n    } // add remaining unparsed input length to the string\n\n\n    getParsingFlags(config).charsLeftOver = stringLength - totalParsedInputLength;\n\n    if (string.length > 0) {\n      getParsingFlags(config).unusedInput.push(string);\n    } // clear _12h flag if hour is <= 12\n\n\n    if (config._a[HOUR] <= 12 && getParsingFlags(config).bigHour === true && config._a[HOUR] > 0) {\n      getParsingFlags(config).bigHour = undefined;\n    }\n\n    getParsingFlags(config).parsedDateParts = config._a.slice(0);\n    getParsingFlags(config).meridiem = config._meridiem; // handle meridiem\n\n    config._a[HOUR] = meridiemFixWrap(config._locale, config._a[HOUR], config._meridiem);\n    configFromArray(config);\n    checkOverflow(config);\n  }\n\n  function meridiemFixWrap(locale, hour, meridiem) {\n    var isPm;\n\n    if (meridiem == null) {\n      // nothing to do\n      return hour;\n    }\n\n    if (locale.meridiemHour != null) {\n      return locale.meridiemHour(hour, meridiem);\n    } else if (locale.isPM != null) {\n      // Fallback\n      isPm = locale.isPM(meridiem);\n\n      if (isPm && hour < 12) {\n        hour += 12;\n      }\n\n      if (!isPm && hour === 12) {\n        hour = 0;\n      }\n\n      return hour;\n    } else {\n      // this is not supposed to happen\n      return hour;\n    }\n  } // date from string and array of format strings\n\n\n  function configFromStringAndArray(config) {\n    var tempConfig, bestMoment, scoreToBeat, i, currentScore;\n\n    if (config._f.length === 0) {\n      getParsingFlags(config).invalidFormat = true;\n      config._d = new Date(NaN);\n      return;\n    }\n\n    for (i = 0; i < config._f.length; i++) {\n      currentScore = 0;\n      tempConfig = copyConfig({}, config);\n\n      if (config._useUTC != null) {\n        tempConfig._useUTC = config._useUTC;\n      }\n\n      tempConfig._f = config._f[i];\n      configFromStringAndFormat(tempConfig);\n\n      if (!isValid(tempConfig)) {\n        continue;\n      } // if there is any input that was not parsed add a penalty for that format\n\n\n      currentScore += getParsingFlags(tempConfig).charsLeftOver; //or tokens\n\n      currentScore += getParsingFlags(tempConfig).unusedTokens.length * 10;\n      getParsingFlags(tempConfig).score = currentScore;\n\n      if (scoreToBeat == null || currentScore < scoreToBeat) {\n        scoreToBeat = currentScore;\n        bestMoment = tempConfig;\n      }\n    }\n\n    extend(config, bestMoment || tempConfig);\n  }\n\n  function configFromObject(config) {\n    if (config._d) {\n      return;\n    }\n\n    var i = normalizeObjectUnits(config._i);\n    config._a = map([i.year, i.month, i.day || i.date, i.hour, i.minute, i.second, i.millisecond], function (obj) {\n      return obj && parseInt(obj, 10);\n    });\n    configFromArray(config);\n  }\n\n  function createFromConfig(config) {\n    var res = new Moment(checkOverflow(prepareConfig(config)));\n\n    if (res._nextDay) {\n      // Adding is smart enough around DST\n      res.add(1, 'd');\n      res._nextDay = undefined;\n    }\n\n    return res;\n  }\n\n  function prepareConfig(config) {\n    var input = config._i,\n        format = config._f;\n    config._locale = config._locale || getLocale(config._l);\n\n    if (input === null || format === undefined && input === '') {\n      return createInvalid({\n        nullInput: true\n      });\n    }\n\n    if (typeof input === 'string') {\n      config._i = input = config._locale.preparse(input);\n    }\n\n    if (isMoment(input)) {\n      return new Moment(checkOverflow(input));\n    } else if (isDate(input)) {\n      config._d = input;\n    } else if (isArray(format)) {\n      configFromStringAndArray(config);\n    } else if (format) {\n      configFromStringAndFormat(config);\n    } else {\n      configFromInput(config);\n    }\n\n    if (!isValid(config)) {\n      config._d = null;\n    }\n\n    return config;\n  }\n\n  function configFromInput(config) {\n    var input = config._i;\n\n    if (isUndefined(input)) {\n      config._d = new Date(hooks.now());\n    } else if (isDate(input)) {\n      config._d = new Date(input.valueOf());\n    } else if (typeof input === 'string') {\n      configFromString(config);\n    } else if (isArray(input)) {\n      config._a = map(input.slice(0), function (obj) {\n        return parseInt(obj, 10);\n      });\n      configFromArray(config);\n    } else if (isObject(input)) {\n      configFromObject(config);\n    } else if (isNumber(input)) {\n      // from milliseconds\n      config._d = new Date(input);\n    } else {\n      hooks.createFromInputFallback(config);\n    }\n  }\n\n  function createLocalOrUTC(input, format, locale, strict, isUTC) {\n    var c = {};\n\n    if (locale === true || locale === false) {\n      strict = locale;\n      locale = undefined;\n    }\n\n    if (isObject(input) && isObjectEmpty(input) || isArray(input) && input.length === 0) {\n      input = undefined;\n    } // object construction must be done this way.\n    // https://github.com/moment/moment/issues/1423\n\n\n    c._isAMomentObject = true;\n    c._useUTC = c._isUTC = isUTC;\n    c._l = locale;\n    c._i = input;\n    c._f = format;\n    c._strict = strict;\n    return createFromConfig(c);\n  }\n\n  function createLocal(input, format, locale, strict) {\n    return createLocalOrUTC(input, format, locale, strict, false);\n  }\n\n  var prototypeMin = deprecate('moment().min is deprecated, use moment.max instead. http://momentjs.com/guides/#/warnings/min-max/', function () {\n    var other = createLocal.apply(null, arguments);\n\n    if (this.isValid() && other.isValid()) {\n      return other < this ? this : other;\n    } else {\n      return createInvalid();\n    }\n  });\n  var prototypeMax = deprecate('moment().max is deprecated, use moment.min instead. http://momentjs.com/guides/#/warnings/min-max/', function () {\n    var other = createLocal.apply(null, arguments);\n\n    if (this.isValid() && other.isValid()) {\n      return other > this ? this : other;\n    } else {\n      return createInvalid();\n    }\n  }); // Pick a moment m from moments so that m[fn](other) is true for all\n  // other. This relies on the function fn to be transitive.\n  //\n  // moments should either be an array of moment objects or an array, whose\n  // first element is an array of moment objects.\n\n  function pickBy(fn, moments) {\n    var res, i;\n\n    if (moments.length === 1 && isArray(moments[0])) {\n      moments = moments[0];\n    }\n\n    if (!moments.length) {\n      return createLocal();\n    }\n\n    res = moments[0];\n\n    for (i = 1; i < moments.length; ++i) {\n      if (!moments[i].isValid() || moments[i][fn](res)) {\n        res = moments[i];\n      }\n    }\n\n    return res;\n  } // TODO: Use [].sort instead?\n\n\n  function min() {\n    var args = [].slice.call(arguments, 0);\n    return pickBy('isBefore', args);\n  }\n\n  function max() {\n    var args = [].slice.call(arguments, 0);\n    return pickBy('isAfter', args);\n  }\n\n  var now = function now() {\n    return Date.now ? Date.now() : +new Date();\n  };\n\n  var ordering = ['year', 'quarter', 'month', 'week', 'day', 'hour', 'minute', 'second', 'millisecond'];\n\n  function isDurationValid(m) {\n    for (var key in m) {\n      if (!(indexOf.call(ordering, key) !== -1 && (m[key] == null || !isNaN(m[key])))) {\n        return false;\n      }\n    }\n\n    var unitHasDecimal = false;\n\n    for (var i = 0; i < ordering.length; ++i) {\n      if (m[ordering[i]]) {\n        if (unitHasDecimal) {\n          return false; // only allow non-integers for smallest unit\n        }\n\n        if (parseFloat(m[ordering[i]]) !== toInt(m[ordering[i]])) {\n          unitHasDecimal = true;\n        }\n      }\n    }\n\n    return true;\n  }\n\n  function isValid$1() {\n    return this._isValid;\n  }\n\n  function createInvalid$1() {\n    return createDuration(NaN);\n  }\n\n  function Duration(duration) {\n    var normalizedInput = normalizeObjectUnits(duration),\n        years = normalizedInput.year || 0,\n        quarters = normalizedInput.quarter || 0,\n        months = normalizedInput.month || 0,\n        weeks = normalizedInput.week || 0,\n        days = normalizedInput.day || 0,\n        hours = normalizedInput.hour || 0,\n        minutes = normalizedInput.minute || 0,\n        seconds = normalizedInput.second || 0,\n        milliseconds = normalizedInput.millisecond || 0;\n    this._isValid = isDurationValid(normalizedInput); // representation for dateAddRemove\n\n    this._milliseconds = +milliseconds + seconds * 1e3 + // 1000\n    minutes * 6e4 + // 1000 * 60\n    hours * 1000 * 60 * 60; //using 1000 * 60 * 60 instead of 36e5 to avoid floating point rounding errors https://github.com/moment/moment/issues/2978\n    // Because of dateAddRemove treats 24 hours as different from a\n    // day when working around DST, we need to store them separately\n\n    this._days = +days + weeks * 7; // It is impossible to translate months into days without knowing\n    // which months you are are talking about, so we have to store\n    // it separately.\n\n    this._months = +months + quarters * 3 + years * 12;\n    this._data = {};\n    this._locale = getLocale();\n\n    this._bubble();\n  }\n\n  function isDuration(obj) {\n    return obj instanceof Duration;\n  }\n\n  function absRound(number) {\n    if (number < 0) {\n      return Math.round(-1 * number) * -1;\n    } else {\n      return Math.round(number);\n    }\n  } // FORMATTING\n\n\n  function offset(token, separator) {\n    addFormatToken(token, 0, 0, function () {\n      var offset = this.utcOffset();\n      var sign = '+';\n\n      if (offset < 0) {\n        offset = -offset;\n        sign = '-';\n      }\n\n      return sign + zeroFill(~~(offset / 60), 2) + separator + zeroFill(~~offset % 60, 2);\n    });\n  }\n\n  offset('Z', ':');\n  offset('ZZ', ''); // PARSING\n\n  addRegexToken('Z', matchShortOffset);\n  addRegexToken('ZZ', matchShortOffset);\n  addParseToken(['Z', 'ZZ'], function (input, array, config) {\n    config._useUTC = true;\n    config._tzm = offsetFromString(matchShortOffset, input);\n  }); // HELPERS\n  // timezone chunker\n  // '+10:00' > ['10',  '00']\n  // '-1530'  > ['-15', '30']\n\n  var chunkOffset = /([\\+\\-]|\\d\\d)/gi;\n\n  function offsetFromString(matcher, string) {\n    var matches = (string || '').match(matcher);\n\n    if (matches === null) {\n      return null;\n    }\n\n    var chunk = matches[matches.length - 1] || [];\n    var parts = (chunk + '').match(chunkOffset) || ['-', 0, 0];\n    var minutes = +(parts[1] * 60) + toInt(parts[2]);\n    return minutes === 0 ? 0 : parts[0] === '+' ? minutes : -minutes;\n  } // Return a moment from input, that is local/utc/zone equivalent to model.\n\n\n  function cloneWithOffset(input, model) {\n    var res, diff;\n\n    if (model._isUTC) {\n      res = model.clone();\n      diff = (isMoment(input) || isDate(input) ? input.valueOf() : createLocal(input).valueOf()) - res.valueOf(); // Use low-level api, because this fn is low-level api.\n\n      res._d.setTime(res._d.valueOf() + diff);\n\n      hooks.updateOffset(res, false);\n      return res;\n    } else {\n      return createLocal(input).local();\n    }\n  }\n\n  function getDateOffset(m) {\n    // On Firefox.24 Date#getTimezoneOffset returns a floating point.\n    // https://github.com/moment/moment/pull/1871\n    return -Math.round(m._d.getTimezoneOffset() / 15) * 15;\n  } // HOOKS\n  // This function will be called whenever a moment is mutated.\n  // It is intended to keep the offset in sync with the timezone.\n\n\n  hooks.updateOffset = function () {}; // MOMENTS\n  // keepLocalTime = true means only change the timezone, without\n  // affecting the local hour. So 5:31:26 +0300 --[utcOffset(2, true)]-->\n  // 5:31:26 +0200 It is possible that 5:31:26 doesn't exist with offset\n  // +0200, so we adjust the time as needed, to be valid.\n  //\n  // Keeping the time actually adds/subtracts (one hour)\n  // from the actual represented time. That is why we call updateOffset\n  // a second time. In case it wants us to change the offset again\n  // _changeInProgress == true case, then we have to adjust, because\n  // there is no such time in the given timezone.\n\n\n  function getSetOffset(input, keepLocalTime, keepMinutes) {\n    var offset = this._offset || 0,\n        localAdjust;\n\n    if (!this.isValid()) {\n      return input != null ? this : NaN;\n    }\n\n    if (input != null) {\n      if (typeof input === 'string') {\n        input = offsetFromString(matchShortOffset, input);\n\n        if (input === null) {\n          return this;\n        }\n      } else if (Math.abs(input) < 16 && !keepMinutes) {\n        input = input * 60;\n      }\n\n      if (!this._isUTC && keepLocalTime) {\n        localAdjust = getDateOffset(this);\n      }\n\n      this._offset = input;\n      this._isUTC = true;\n\n      if (localAdjust != null) {\n        this.add(localAdjust, 'm');\n      }\n\n      if (offset !== input) {\n        if (!keepLocalTime || this._changeInProgress) {\n          addSubtract(this, createDuration(input - offset, 'm'), 1, false);\n        } else if (!this._changeInProgress) {\n          this._changeInProgress = true;\n          hooks.updateOffset(this, true);\n          this._changeInProgress = null;\n        }\n      }\n\n      return this;\n    } else {\n      return this._isUTC ? offset : getDateOffset(this);\n    }\n  }\n\n  function getSetZone(input, keepLocalTime) {\n    if (input != null) {\n      if (typeof input !== 'string') {\n        input = -input;\n      }\n\n      this.utcOffset(input, keepLocalTime);\n      return this;\n    } else {\n      return -this.utcOffset();\n    }\n  }\n\n  function setOffsetToUTC(keepLocalTime) {\n    return this.utcOffset(0, keepLocalTime);\n  }\n\n  function setOffsetToLocal(keepLocalTime) {\n    if (this._isUTC) {\n      this.utcOffset(0, keepLocalTime);\n      this._isUTC = false;\n\n      if (keepLocalTime) {\n        this.subtract(getDateOffset(this), 'm');\n      }\n    }\n\n    return this;\n  }\n\n  function setOffsetToParsedOffset() {\n    if (this._tzm != null) {\n      this.utcOffset(this._tzm, false, true);\n    } else if (typeof this._i === 'string') {\n      var tZone = offsetFromString(matchOffset, this._i);\n\n      if (tZone != null) {\n        this.utcOffset(tZone);\n      } else {\n        this.utcOffset(0, true);\n      }\n    }\n\n    return this;\n  }\n\n  function hasAlignedHourOffset(input) {\n    if (!this.isValid()) {\n      return false;\n    }\n\n    input = input ? createLocal(input).utcOffset() : 0;\n    return (this.utcOffset() - input) % 60 === 0;\n  }\n\n  function isDaylightSavingTime() {\n    return this.utcOffset() > this.clone().month(0).utcOffset() || this.utcOffset() > this.clone().month(5).utcOffset();\n  }\n\n  function isDaylightSavingTimeShifted() {\n    if (!isUndefined(this._isDSTShifted)) {\n      return this._isDSTShifted;\n    }\n\n    var c = {};\n    copyConfig(c, this);\n    c = prepareConfig(c);\n\n    if (c._a) {\n      var other = c._isUTC ? createUTC(c._a) : createLocal(c._a);\n      this._isDSTShifted = this.isValid() && compareArrays(c._a, other.toArray()) > 0;\n    } else {\n      this._isDSTShifted = false;\n    }\n\n    return this._isDSTShifted;\n  }\n\n  function isLocal() {\n    return this.isValid() ? !this._isUTC : false;\n  }\n\n  function isUtcOffset() {\n    return this.isValid() ? this._isUTC : false;\n  }\n\n  function isUtc() {\n    return this.isValid() ? this._isUTC && this._offset === 0 : false;\n  } // ASP.NET json date format regex\n\n\n  var aspNetRegex = /^(\\-|\\+)?(?:(\\d*)[. ])?(\\d+)\\:(\\d+)(?:\\:(\\d+)(\\.\\d*)?)?$/; // from http://docs.closure-library.googlecode.com/git/closure_goog_date_date.js.source.html\n  // somewhat more in line with 4.4.3.2 2004 spec, but allows decimal anywhere\n  // and further modified to allow for strings containing both week and day\n\n  var isoRegex = /^(-|\\+)?P(?:([-+]?[0-9,.]*)Y)?(?:([-+]?[0-9,.]*)M)?(?:([-+]?[0-9,.]*)W)?(?:([-+]?[0-9,.]*)D)?(?:T(?:([-+]?[0-9,.]*)H)?(?:([-+]?[0-9,.]*)M)?(?:([-+]?[0-9,.]*)S)?)?$/;\n\n  function createDuration(input, key) {\n    var duration = input,\n        // matching against regexp is expensive, do it on demand\n    match = null,\n        sign,\n        ret,\n        diffRes;\n\n    if (isDuration(input)) {\n      duration = {\n        ms: input._milliseconds,\n        d: input._days,\n        M: input._months\n      };\n    } else if (isNumber(input)) {\n      duration = {};\n\n      if (key) {\n        duration[key] = input;\n      } else {\n        duration.milliseconds = input;\n      }\n    } else if (!!(match = aspNetRegex.exec(input))) {\n      sign = match[1] === '-' ? -1 : 1;\n      duration = {\n        y: 0,\n        d: toInt(match[DATE]) * sign,\n        h: toInt(match[HOUR]) * sign,\n        m: toInt(match[MINUTE]) * sign,\n        s: toInt(match[SECOND]) * sign,\n        ms: toInt(absRound(match[MILLISECOND] * 1000)) * sign // the millisecond decimal point is included in the match\n\n      };\n    } else if (!!(match = isoRegex.exec(input))) {\n      sign = match[1] === '-' ? -1 : match[1] === '+' ? 1 : 1;\n      duration = {\n        y: parseIso(match[2], sign),\n        M: parseIso(match[3], sign),\n        w: parseIso(match[4], sign),\n        d: parseIso(match[5], sign),\n        h: parseIso(match[6], sign),\n        m: parseIso(match[7], sign),\n        s: parseIso(match[8], sign)\n      };\n    } else if (duration == null) {\n      // checks for null or undefined\n      duration = {};\n    } else if (typeof duration === 'object' && ('from' in duration || 'to' in duration)) {\n      diffRes = momentsDifference(createLocal(duration.from), createLocal(duration.to));\n      duration = {};\n      duration.ms = diffRes.milliseconds;\n      duration.M = diffRes.months;\n    }\n\n    ret = new Duration(duration);\n\n    if (isDuration(input) && hasOwnProp(input, '_locale')) {\n      ret._locale = input._locale;\n    }\n\n    return ret;\n  }\n\n  createDuration.fn = Duration.prototype;\n  createDuration.invalid = createInvalid$1;\n\n  function parseIso(inp, sign) {\n    // We'd normally use ~~inp for this, but unfortunately it also\n    // converts floats to ints.\n    // inp may be undefined, so careful calling replace on it.\n    var res = inp && parseFloat(inp.replace(',', '.')); // apply sign while we're at it\n\n    return (isNaN(res) ? 0 : res) * sign;\n  }\n\n  function positiveMomentsDifference(base, other) {\n    var res = {\n      milliseconds: 0,\n      months: 0\n    };\n    res.months = other.month() - base.month() + (other.year() - base.year()) * 12;\n\n    if (base.clone().add(res.months, 'M').isAfter(other)) {\n      --res.months;\n    }\n\n    res.milliseconds = +other - +base.clone().add(res.months, 'M');\n    return res;\n  }\n\n  function momentsDifference(base, other) {\n    var res;\n\n    if (!(base.isValid() && other.isValid())) {\n      return {\n        milliseconds: 0,\n        months: 0\n      };\n    }\n\n    other = cloneWithOffset(other, base);\n\n    if (base.isBefore(other)) {\n      res = positiveMomentsDifference(base, other);\n    } else {\n      res = positiveMomentsDifference(other, base);\n      res.milliseconds = -res.milliseconds;\n      res.months = -res.months;\n    }\n\n    return res;\n  } // TODO: remove 'name' arg after deprecation is removed\n\n\n  function createAdder(direction, name) {\n    return function (val, period) {\n      var dur, tmp; //invert the arguments, but complain about it\n\n      if (period !== null && !isNaN(+period)) {\n        deprecateSimple(name, 'moment().' + name + '(period, number) is deprecated. Please use moment().' + name + '(number, period). ' + 'See http://momentjs.com/guides/#/warnings/add-inverted-param/ for more info.');\n        tmp = val;\n        val = period;\n        period = tmp;\n      }\n\n      val = typeof val === 'string' ? +val : val;\n      dur = createDuration(val, period);\n      addSubtract(this, dur, direction);\n      return this;\n    };\n  }\n\n  function addSubtract(mom, duration, isAdding, updateOffset) {\n    var milliseconds = duration._milliseconds,\n        days = absRound(duration._days),\n        months = absRound(duration._months);\n\n    if (!mom.isValid()) {\n      // No op\n      return;\n    }\n\n    updateOffset = updateOffset == null ? true : updateOffset;\n\n    if (months) {\n      setMonth(mom, get(mom, 'Month') + months * isAdding);\n    }\n\n    if (days) {\n      set$1(mom, 'Date', get(mom, 'Date') + days * isAdding);\n    }\n\n    if (milliseconds) {\n      mom._d.setTime(mom._d.valueOf() + milliseconds * isAdding);\n    }\n\n    if (updateOffset) {\n      hooks.updateOffset(mom, days || months);\n    }\n  }\n\n  var add = createAdder(1, 'add');\n  var subtract = createAdder(-1, 'subtract');\n\n  function getCalendarFormat(myMoment, now) {\n    var diff = myMoment.diff(now, 'days', true);\n    return diff < -6 ? 'sameElse' : diff < -1 ? 'lastWeek' : diff < 0 ? 'lastDay' : diff < 1 ? 'sameDay' : diff < 2 ? 'nextDay' : diff < 7 ? 'nextWeek' : 'sameElse';\n  }\n\n  function calendar$1(time, formats) {\n    // We want to compare the start of today, vs this.\n    // Getting start-of-today depends on whether we're local/utc/offset or not.\n    var now = time || createLocal(),\n        sod = cloneWithOffset(now, this).startOf('day'),\n        format = hooks.calendarFormat(this, sod) || 'sameElse';\n    var output = formats && (isFunction(formats[format]) ? formats[format].call(this, now) : formats[format]);\n    return this.format(output || this.localeData().calendar(format, this, createLocal(now)));\n  }\n\n  function clone() {\n    return new Moment(this);\n  }\n\n  function isAfter(input, units) {\n    var localInput = isMoment(input) ? input : createLocal(input);\n\n    if (!(this.isValid() && localInput.isValid())) {\n      return false;\n    }\n\n    units = normalizeUnits(!isUndefined(units) ? units : 'millisecond');\n\n    if (units === 'millisecond') {\n      return this.valueOf() > localInput.valueOf();\n    } else {\n      return localInput.valueOf() < this.clone().startOf(units).valueOf();\n    }\n  }\n\n  function isBefore(input, units) {\n    var localInput = isMoment(input) ? input : createLocal(input);\n\n    if (!(this.isValid() && localInput.isValid())) {\n      return false;\n    }\n\n    units = normalizeUnits(!isUndefined(units) ? units : 'millisecond');\n\n    if (units === 'millisecond') {\n      return this.valueOf() < localInput.valueOf();\n    } else {\n      return this.clone().endOf(units).valueOf() < localInput.valueOf();\n    }\n  }\n\n  function isBetween(from, to, units, inclusivity) {\n    inclusivity = inclusivity || '()';\n    return (inclusivity[0] === '(' ? this.isAfter(from, units) : !this.isBefore(from, units)) && (inclusivity[1] === ')' ? this.isBefore(to, units) : !this.isAfter(to, units));\n  }\n\n  function isSame(input, units) {\n    var localInput = isMoment(input) ? input : createLocal(input),\n        inputMs;\n\n    if (!(this.isValid() && localInput.isValid())) {\n      return false;\n    }\n\n    units = normalizeUnits(units || 'millisecond');\n\n    if (units === 'millisecond') {\n      return this.valueOf() === localInput.valueOf();\n    } else {\n      inputMs = localInput.valueOf();\n      return this.clone().startOf(units).valueOf() <= inputMs && inputMs <= this.clone().endOf(units).valueOf();\n    }\n  }\n\n  function isSameOrAfter(input, units) {\n    return this.isSame(input, units) || this.isAfter(input, units);\n  }\n\n  function isSameOrBefore(input, units) {\n    return this.isSame(input, units) || this.isBefore(input, units);\n  }\n\n  function diff(input, units, asFloat) {\n    var that, zoneDelta, output;\n\n    if (!this.isValid()) {\n      return NaN;\n    }\n\n    that = cloneWithOffset(input, this);\n\n    if (!that.isValid()) {\n      return NaN;\n    }\n\n    zoneDelta = (that.utcOffset() - this.utcOffset()) * 6e4;\n    units = normalizeUnits(units);\n\n    switch (units) {\n      case 'year':\n        output = monthDiff(this, that) / 12;\n        break;\n\n      case 'month':\n        output = monthDiff(this, that);\n        break;\n\n      case 'quarter':\n        output = monthDiff(this, that) / 3;\n        break;\n\n      case 'second':\n        output = (this - that) / 1e3;\n        break;\n      // 1000\n\n      case 'minute':\n        output = (this - that) / 6e4;\n        break;\n      // 1000 * 60\n\n      case 'hour':\n        output = (this - that) / 36e5;\n        break;\n      // 1000 * 60 * 60\n\n      case 'day':\n        output = (this - that - zoneDelta) / 864e5;\n        break;\n      // 1000 * 60 * 60 * 24, negate dst\n\n      case 'week':\n        output = (this - that - zoneDelta) / 6048e5;\n        break;\n      // 1000 * 60 * 60 * 24 * 7, negate dst\n\n      default:\n        output = this - that;\n    }\n\n    return asFloat ? output : absFloor(output);\n  }\n\n  function monthDiff(a, b) {\n    // difference in months\n    var wholeMonthDiff = (b.year() - a.year()) * 12 + (b.month() - a.month()),\n        // b is in (anchor - 1 month, anchor + 1 month)\n    anchor = a.clone().add(wholeMonthDiff, 'months'),\n        anchor2,\n        adjust;\n\n    if (b - anchor < 0) {\n      anchor2 = a.clone().add(wholeMonthDiff - 1, 'months'); // linear across the month\n\n      adjust = (b - anchor) / (anchor - anchor2);\n    } else {\n      anchor2 = a.clone().add(wholeMonthDiff + 1, 'months'); // linear across the month\n\n      adjust = (b - anchor) / (anchor2 - anchor);\n    } //check for negative zero, return zero if negative zero\n\n\n    return -(wholeMonthDiff + adjust) || 0;\n  }\n\n  hooks.defaultFormat = 'YYYY-MM-DDTHH:mm:ssZ';\n  hooks.defaultFormatUtc = 'YYYY-MM-DDTHH:mm:ss[Z]';\n\n  function toString() {\n    return this.clone().locale('en').format('ddd MMM DD YYYY HH:mm:ss [GMT]ZZ');\n  }\n\n  function toISOString(keepOffset) {\n    if (!this.isValid()) {\n      return null;\n    }\n\n    var utc = keepOffset !== true;\n    var m = utc ? this.clone().utc() : this;\n\n    if (m.year() < 0 || m.year() > 9999) {\n      return formatMoment(m, utc ? 'YYYYYY-MM-DD[T]HH:mm:ss.SSS[Z]' : 'YYYYYY-MM-DD[T]HH:mm:ss.SSSZ');\n    }\n\n    if (isFunction(Date.prototype.toISOString)) {\n      // native implementation is ~50x faster, use it when we can\n      if (utc) {\n        return this.toDate().toISOString();\n      } else {\n        return new Date(this.valueOf() + this.utcOffset() * 60 * 1000).toISOString().replace('Z', formatMoment(m, 'Z'));\n      }\n    }\n\n    return formatMoment(m, utc ? 'YYYY-MM-DD[T]HH:mm:ss.SSS[Z]' : 'YYYY-MM-DD[T]HH:mm:ss.SSSZ');\n  }\n  /**\n   * Return a human readable representation of a moment that can\n   * also be evaluated to get a new moment which is the same\n   *\n   * @link https://nodejs.org/dist/latest/docs/api/util.html#util_custom_inspect_function_on_objects\n   */\n\n\n  function inspect() {\n    if (!this.isValid()) {\n      return 'moment.invalid(/* ' + this._i + ' */)';\n    }\n\n    var func = 'moment';\n    var zone = '';\n\n    if (!this.isLocal()) {\n      func = this.utcOffset() === 0 ? 'moment.utc' : 'moment.parseZone';\n      zone = 'Z';\n    }\n\n    var prefix = '[' + func + '(\"]';\n    var year = 0 <= this.year() && this.year() <= 9999 ? 'YYYY' : 'YYYYYY';\n    var datetime = '-MM-DD[T]HH:mm:ss.SSS';\n    var suffix = zone + '[\")]';\n    return this.format(prefix + year + datetime + suffix);\n  }\n\n  function format(inputString) {\n    if (!inputString) {\n      inputString = this.isUtc() ? hooks.defaultFormatUtc : hooks.defaultFormat;\n    }\n\n    var output = formatMoment(this, inputString);\n    return this.localeData().postformat(output);\n  }\n\n  function from(time, withoutSuffix) {\n    if (this.isValid() && (isMoment(time) && time.isValid() || createLocal(time).isValid())) {\n      return createDuration({\n        to: this,\n        from: time\n      }).locale(this.locale()).humanize(!withoutSuffix);\n    } else {\n      return this.localeData().invalidDate();\n    }\n  }\n\n  function fromNow(withoutSuffix) {\n    return this.from(createLocal(), withoutSuffix);\n  }\n\n  function to(time, withoutSuffix) {\n    if (this.isValid() && (isMoment(time) && time.isValid() || createLocal(time).isValid())) {\n      return createDuration({\n        from: this,\n        to: time\n      }).locale(this.locale()).humanize(!withoutSuffix);\n    } else {\n      return this.localeData().invalidDate();\n    }\n  }\n\n  function toNow(withoutSuffix) {\n    return this.to(createLocal(), withoutSuffix);\n  } // If passed a locale key, it will set the locale for this\n  // instance.  Otherwise, it will return the locale configuration\n  // variables for this instance.\n\n\n  function locale(key) {\n    var newLocaleData;\n\n    if (key === undefined) {\n      return this._locale._abbr;\n    } else {\n      newLocaleData = getLocale(key);\n\n      if (newLocaleData != null) {\n        this._locale = newLocaleData;\n      }\n\n      return this;\n    }\n  }\n\n  var lang = deprecate('moment().lang() is deprecated. Instead, use moment().localeData() to get the language configuration. Use moment().locale() to change languages.', function (key) {\n    if (key === undefined) {\n      return this.localeData();\n    } else {\n      return this.locale(key);\n    }\n  });\n\n  function localeData() {\n    return this._locale;\n  }\n\n  function startOf(units) {\n    units = normalizeUnits(units); // the following switch intentionally omits break keywords\n    // to utilize falling through the cases.\n\n    switch (units) {\n      case 'year':\n        this.month(0);\n\n      /* falls through */\n\n      case 'quarter':\n      case 'month':\n        this.date(1);\n\n      /* falls through */\n\n      case 'week':\n      case 'isoWeek':\n      case 'day':\n      case 'date':\n        this.hours(0);\n\n      /* falls through */\n\n      case 'hour':\n        this.minutes(0);\n\n      /* falls through */\n\n      case 'minute':\n        this.seconds(0);\n\n      /* falls through */\n\n      case 'second':\n        this.milliseconds(0);\n    } // weeks are a special case\n\n\n    if (units === 'week') {\n      this.weekday(0);\n    }\n\n    if (units === 'isoWeek') {\n      this.isoWeekday(1);\n    } // quarters are also special\n\n\n    if (units === 'quarter') {\n      this.month(Math.floor(this.month() / 3) * 3);\n    }\n\n    return this;\n  }\n\n  function endOf(units) {\n    units = normalizeUnits(units);\n\n    if (units === undefined || units === 'millisecond') {\n      return this;\n    } // 'date' is an alias for 'day', so it should be considered as such.\n\n\n    if (units === 'date') {\n      units = 'day';\n    }\n\n    return this.startOf(units).add(1, units === 'isoWeek' ? 'week' : units).subtract(1, 'ms');\n  }\n\n  function valueOf() {\n    return this._d.valueOf() - (this._offset || 0) * 60000;\n  }\n\n  function unix() {\n    return Math.floor(this.valueOf() / 1000);\n  }\n\n  function toDate() {\n    return new Date(this.valueOf());\n  }\n\n  function toArray() {\n    var m = this;\n    return [m.year(), m.month(), m.date(), m.hour(), m.minute(), m.second(), m.millisecond()];\n  }\n\n  function toObject() {\n    var m = this;\n    return {\n      years: m.year(),\n      months: m.month(),\n      date: m.date(),\n      hours: m.hours(),\n      minutes: m.minutes(),\n      seconds: m.seconds(),\n      milliseconds: m.milliseconds()\n    };\n  }\n\n  function toJSON() {\n    // new Date(NaN).toJSON() === null\n    return this.isValid() ? this.toISOString() : null;\n  }\n\n  function isValid$2() {\n    return isValid(this);\n  }\n\n  function parsingFlags() {\n    return extend({}, getParsingFlags(this));\n  }\n\n  function invalidAt() {\n    return getParsingFlags(this).overflow;\n  }\n\n  function creationData() {\n    return {\n      input: this._i,\n      format: this._f,\n      locale: this._locale,\n      isUTC: this._isUTC,\n      strict: this._strict\n    };\n  } // FORMATTING\n\n\n  addFormatToken(0, ['gg', 2], 0, function () {\n    return this.weekYear() % 100;\n  });\n  addFormatToken(0, ['GG', 2], 0, function () {\n    return this.isoWeekYear() % 100;\n  });\n\n  function addWeekYearFormatToken(token, getter) {\n    addFormatToken(0, [token, token.length], 0, getter);\n  }\n\n  addWeekYearFormatToken('gggg', 'weekYear');\n  addWeekYearFormatToken('ggggg', 'weekYear');\n  addWeekYearFormatToken('GGGG', 'isoWeekYear');\n  addWeekYearFormatToken('GGGGG', 'isoWeekYear'); // ALIASES\n\n  addUnitAlias('weekYear', 'gg');\n  addUnitAlias('isoWeekYear', 'GG'); // PRIORITY\n\n  addUnitPriority('weekYear', 1);\n  addUnitPriority('isoWeekYear', 1); // PARSING\n\n  addRegexToken('G', matchSigned);\n  addRegexToken('g', matchSigned);\n  addRegexToken('GG', match1to2, match2);\n  addRegexToken('gg', match1to2, match2);\n  addRegexToken('GGGG', match1to4, match4);\n  addRegexToken('gggg', match1to4, match4);\n  addRegexToken('GGGGG', match1to6, match6);\n  addRegexToken('ggggg', match1to6, match6);\n  addWeekParseToken(['gggg', 'ggggg', 'GGGG', 'GGGGG'], function (input, week, config, token) {\n    week[token.substr(0, 2)] = toInt(input);\n  });\n  addWeekParseToken(['gg', 'GG'], function (input, week, config, token) {\n    week[token] = hooks.parseTwoDigitYear(input);\n  }); // MOMENTS\n\n  function getSetWeekYear(input) {\n    return getSetWeekYearHelper.call(this, input, this.week(), this.weekday(), this.localeData()._week.dow, this.localeData()._week.doy);\n  }\n\n  function getSetISOWeekYear(input) {\n    return getSetWeekYearHelper.call(this, input, this.isoWeek(), this.isoWeekday(), 1, 4);\n  }\n\n  function getISOWeeksInYear() {\n    return weeksInYear(this.year(), 1, 4);\n  }\n\n  function getWeeksInYear() {\n    var weekInfo = this.localeData()._week;\n\n    return weeksInYear(this.year(), weekInfo.dow, weekInfo.doy);\n  }\n\n  function getSetWeekYearHelper(input, week, weekday, dow, doy) {\n    var weeksTarget;\n\n    if (input == null) {\n      return weekOfYear(this, dow, doy).year;\n    } else {\n      weeksTarget = weeksInYear(input, dow, doy);\n\n      if (week > weeksTarget) {\n        week = weeksTarget;\n      }\n\n      return setWeekAll.call(this, input, week, weekday, dow, doy);\n    }\n  }\n\n  function setWeekAll(weekYear, week, weekday, dow, doy) {\n    var dayOfYearData = dayOfYearFromWeeks(weekYear, week, weekday, dow, doy),\n        date = createUTCDate(dayOfYearData.year, 0, dayOfYearData.dayOfYear);\n    this.year(date.getUTCFullYear());\n    this.month(date.getUTCMonth());\n    this.date(date.getUTCDate());\n    return this;\n  } // FORMATTING\n\n\n  addFormatToken('Q', 0, 'Qo', 'quarter'); // ALIASES\n\n  addUnitAlias('quarter', 'Q'); // PRIORITY\n\n  addUnitPriority('quarter', 7); // PARSING\n\n  addRegexToken('Q', match1);\n  addParseToken('Q', function (input, array) {\n    array[MONTH] = (toInt(input) - 1) * 3;\n  }); // MOMENTS\n\n  function getSetQuarter(input) {\n    return input == null ? Math.ceil((this.month() + 1) / 3) : this.month((input - 1) * 3 + this.month() % 3);\n  } // FORMATTING\n\n\n  addFormatToken('D', ['DD', 2], 'Do', 'date'); // ALIASES\n\n  addUnitAlias('date', 'D'); // PRIORITY\n\n  addUnitPriority('date', 9); // PARSING\n\n  addRegexToken('D', match1to2);\n  addRegexToken('DD', match1to2, match2);\n  addRegexToken('Do', function (isStrict, locale) {\n    // TODO: Remove \"ordinalParse\" fallback in next major release.\n    return isStrict ? locale._dayOfMonthOrdinalParse || locale._ordinalParse : locale._dayOfMonthOrdinalParseLenient;\n  });\n  addParseToken(['D', 'DD'], DATE);\n  addParseToken('Do', function (input, array) {\n    array[DATE] = toInt(input.match(match1to2)[0]);\n  }); // MOMENTS\n\n  var getSetDayOfMonth = makeGetSet('Date', true); // FORMATTING\n\n  addFormatToken('DDD', ['DDDD', 3], 'DDDo', 'dayOfYear'); // ALIASES\n\n  addUnitAlias('dayOfYear', 'DDD'); // PRIORITY\n\n  addUnitPriority('dayOfYear', 4); // PARSING\n\n  addRegexToken('DDD', match1to3);\n  addRegexToken('DDDD', match3);\n  addParseToken(['DDD', 'DDDD'], function (input, array, config) {\n    config._dayOfYear = toInt(input);\n  }); // HELPERS\n  // MOMENTS\n\n  function getSetDayOfYear(input) {\n    var dayOfYear = Math.round((this.clone().startOf('day') - this.clone().startOf('year')) / 864e5) + 1;\n    return input == null ? dayOfYear : this.add(input - dayOfYear, 'd');\n  } // FORMATTING\n\n\n  addFormatToken('m', ['mm', 2], 0, 'minute'); // ALIASES\n\n  addUnitAlias('minute', 'm'); // PRIORITY\n\n  addUnitPriority('minute', 14); // PARSING\n\n  addRegexToken('m', match1to2);\n  addRegexToken('mm', match1to2, match2);\n  addParseToken(['m', 'mm'], MINUTE); // MOMENTS\n\n  var getSetMinute = makeGetSet('Minutes', false); // FORMATTING\n\n  addFormatToken('s', ['ss', 2], 0, 'second'); // ALIASES\n\n  addUnitAlias('second', 's'); // PRIORITY\n\n  addUnitPriority('second', 15); // PARSING\n\n  addRegexToken('s', match1to2);\n  addRegexToken('ss', match1to2, match2);\n  addParseToken(['s', 'ss'], SECOND); // MOMENTS\n\n  var getSetSecond = makeGetSet('Seconds', false); // FORMATTING\n\n  addFormatToken('S', 0, 0, function () {\n    return ~~(this.millisecond() / 100);\n  });\n  addFormatToken(0, ['SS', 2], 0, function () {\n    return ~~(this.millisecond() / 10);\n  });\n  addFormatToken(0, ['SSS', 3], 0, 'millisecond');\n  addFormatToken(0, ['SSSS', 4], 0, function () {\n    return this.millisecond() * 10;\n  });\n  addFormatToken(0, ['SSSSS', 5], 0, function () {\n    return this.millisecond() * 100;\n  });\n  addFormatToken(0, ['SSSSSS', 6], 0, function () {\n    return this.millisecond() * 1000;\n  });\n  addFormatToken(0, ['SSSSSSS', 7], 0, function () {\n    return this.millisecond() * 10000;\n  });\n  addFormatToken(0, ['SSSSSSSS', 8], 0, function () {\n    return this.millisecond() * 100000;\n  });\n  addFormatToken(0, ['SSSSSSSSS', 9], 0, function () {\n    return this.millisecond() * 1000000;\n  }); // ALIASES\n\n  addUnitAlias('millisecond', 'ms'); // PRIORITY\n\n  addUnitPriority('millisecond', 16); // PARSING\n\n  addRegexToken('S', match1to3, match1);\n  addRegexToken('SS', match1to3, match2);\n  addRegexToken('SSS', match1to3, match3);\n  var token;\n\n  for (token = 'SSSS'; token.length <= 9; token += 'S') {\n    addRegexToken(token, matchUnsigned);\n  }\n\n  function parseMs(input, array) {\n    array[MILLISECOND] = toInt(('0.' + input) * 1000);\n  }\n\n  for (token = 'S'; token.length <= 9; token += 'S') {\n    addParseToken(token, parseMs);\n  } // MOMENTS\n\n\n  var getSetMillisecond = makeGetSet('Milliseconds', false); // FORMATTING\n\n  addFormatToken('z', 0, 0, 'zoneAbbr');\n  addFormatToken('zz', 0, 0, 'zoneName'); // MOMENTS\n\n  function getZoneAbbr() {\n    return this._isUTC ? 'UTC' : '';\n  }\n\n  function getZoneName() {\n    return this._isUTC ? 'Coordinated Universal Time' : '';\n  }\n\n  var proto = Moment.prototype;\n  proto.add = add;\n  proto.calendar = calendar$1;\n  proto.clone = clone;\n  proto.diff = diff;\n  proto.endOf = endOf;\n  proto.format = format;\n  proto.from = from;\n  proto.fromNow = fromNow;\n  proto.to = to;\n  proto.toNow = toNow;\n  proto.get = stringGet;\n  proto.invalidAt = invalidAt;\n  proto.isAfter = isAfter;\n  proto.isBefore = isBefore;\n  proto.isBetween = isBetween;\n  proto.isSame = isSame;\n  proto.isSameOrAfter = isSameOrAfter;\n  proto.isSameOrBefore = isSameOrBefore;\n  proto.isValid = isValid$2;\n  proto.lang = lang;\n  proto.locale = locale;\n  proto.localeData = localeData;\n  proto.max = prototypeMax;\n  proto.min = prototypeMin;\n  proto.parsingFlags = parsingFlags;\n  proto.set = stringSet;\n  proto.startOf = startOf;\n  proto.subtract = subtract;\n  proto.toArray = toArray;\n  proto.toObject = toObject;\n  proto.toDate = toDate;\n  proto.toISOString = toISOString;\n  proto.inspect = inspect;\n  proto.toJSON = toJSON;\n  proto.toString = toString;\n  proto.unix = unix;\n  proto.valueOf = valueOf;\n  proto.creationData = creationData;\n  proto.year = getSetYear;\n  proto.isLeapYear = getIsLeapYear;\n  proto.weekYear = getSetWeekYear;\n  proto.isoWeekYear = getSetISOWeekYear;\n  proto.quarter = proto.quarters = getSetQuarter;\n  proto.month = getSetMonth;\n  proto.daysInMonth = getDaysInMonth;\n  proto.week = proto.weeks = getSetWeek;\n  proto.isoWeek = proto.isoWeeks = getSetISOWeek;\n  proto.weeksInYear = getWeeksInYear;\n  proto.isoWeeksInYear = getISOWeeksInYear;\n  proto.date = getSetDayOfMonth;\n  proto.day = proto.days = getSetDayOfWeek;\n  proto.weekday = getSetLocaleDayOfWeek;\n  proto.isoWeekday = getSetISODayOfWeek;\n  proto.dayOfYear = getSetDayOfYear;\n  proto.hour = proto.hours = getSetHour;\n  proto.minute = proto.minutes = getSetMinute;\n  proto.second = proto.seconds = getSetSecond;\n  proto.millisecond = proto.milliseconds = getSetMillisecond;\n  proto.utcOffset = getSetOffset;\n  proto.utc = setOffsetToUTC;\n  proto.local = setOffsetToLocal;\n  proto.parseZone = setOffsetToParsedOffset;\n  proto.hasAlignedHourOffset = hasAlignedHourOffset;\n  proto.isDST = isDaylightSavingTime;\n  proto.isLocal = isLocal;\n  proto.isUtcOffset = isUtcOffset;\n  proto.isUtc = isUtc;\n  proto.isUTC = isUtc;\n  proto.zoneAbbr = getZoneAbbr;\n  proto.zoneName = getZoneName;\n  proto.dates = deprecate('dates accessor is deprecated. Use date instead.', getSetDayOfMonth);\n  proto.months = deprecate('months accessor is deprecated. Use month instead', getSetMonth);\n  proto.years = deprecate('years accessor is deprecated. Use year instead', getSetYear);\n  proto.zone = deprecate('moment().zone is deprecated, use moment().utcOffset instead. http://momentjs.com/guides/#/warnings/zone/', getSetZone);\n  proto.isDSTShifted = deprecate('isDSTShifted is deprecated. See http://momentjs.com/guides/#/warnings/dst-shifted/ for more information', isDaylightSavingTimeShifted);\n\n  function createUnix(input) {\n    return createLocal(input * 1000);\n  }\n\n  function createInZone() {\n    return createLocal.apply(null, arguments).parseZone();\n  }\n\n  function preParsePostFormat(string) {\n    return string;\n  }\n\n  var proto$1 = Locale.prototype;\n  proto$1.calendar = calendar;\n  proto$1.longDateFormat = longDateFormat;\n  proto$1.invalidDate = invalidDate;\n  proto$1.ordinal = ordinal;\n  proto$1.preparse = preParsePostFormat;\n  proto$1.postformat = preParsePostFormat;\n  proto$1.relativeTime = relativeTime;\n  proto$1.pastFuture = pastFuture;\n  proto$1.set = set;\n  proto$1.months = localeMonths;\n  proto$1.monthsShort = localeMonthsShort;\n  proto$1.monthsParse = localeMonthsParse;\n  proto$1.monthsRegex = monthsRegex;\n  proto$1.monthsShortRegex = monthsShortRegex;\n  proto$1.week = localeWeek;\n  proto$1.firstDayOfYear = localeFirstDayOfYear;\n  proto$1.firstDayOfWeek = localeFirstDayOfWeek;\n  proto$1.weekdays = localeWeekdays;\n  proto$1.weekdaysMin = localeWeekdaysMin;\n  proto$1.weekdaysShort = localeWeekdaysShort;\n  proto$1.weekdaysParse = localeWeekdaysParse;\n  proto$1.weekdaysRegex = weekdaysRegex;\n  proto$1.weekdaysShortRegex = weekdaysShortRegex;\n  proto$1.weekdaysMinRegex = weekdaysMinRegex;\n  proto$1.isPM = localeIsPM;\n  proto$1.meridiem = localeMeridiem;\n\n  function get$1(format, index, field, setter) {\n    var locale = getLocale();\n    var utc = createUTC().set(setter, index);\n    return locale[field](utc, format);\n  }\n\n  function listMonthsImpl(format, index, field) {\n    if (isNumber(format)) {\n      index = format;\n      format = undefined;\n    }\n\n    format = format || '';\n\n    if (index != null) {\n      return get$1(format, index, field, 'month');\n    }\n\n    var i;\n    var out = [];\n\n    for (i = 0; i < 12; i++) {\n      out[i] = get$1(format, i, field, 'month');\n    }\n\n    return out;\n  } // ()\n  // (5)\n  // (fmt, 5)\n  // (fmt)\n  // (true)\n  // (true, 5)\n  // (true, fmt, 5)\n  // (true, fmt)\n\n\n  function listWeekdaysImpl(localeSorted, format, index, field) {\n    if (typeof localeSorted === 'boolean') {\n      if (isNumber(format)) {\n        index = format;\n        format = undefined;\n      }\n\n      format = format || '';\n    } else {\n      format = localeSorted;\n      index = format;\n      localeSorted = false;\n\n      if (isNumber(format)) {\n        index = format;\n        format = undefined;\n      }\n\n      format = format || '';\n    }\n\n    var locale = getLocale(),\n        shift = localeSorted ? locale._week.dow : 0;\n\n    if (index != null) {\n      return get$1(format, (index + shift) % 7, field, 'day');\n    }\n\n    var i;\n    var out = [];\n\n    for (i = 0; i < 7; i++) {\n      out[i] = get$1(format, (i + shift) % 7, field, 'day');\n    }\n\n    return out;\n  }\n\n  function listMonths(format, index) {\n    return listMonthsImpl(format, index, 'months');\n  }\n\n  function listMonthsShort(format, index) {\n    return listMonthsImpl(format, index, 'monthsShort');\n  }\n\n  function listWeekdays(localeSorted, format, index) {\n    return listWeekdaysImpl(localeSorted, format, index, 'weekdays');\n  }\n\n  function listWeekdaysShort(localeSorted, format, index) {\n    return listWeekdaysImpl(localeSorted, format, index, 'weekdaysShort');\n  }\n\n  function listWeekdaysMin(localeSorted, format, index) {\n    return listWeekdaysImpl(localeSorted, format, index, 'weekdaysMin');\n  }\n\n  getSetGlobalLocale('en', {\n    dayOfMonthOrdinalParse: /\\d{1,2}(th|st|nd|rd)/,\n    ordinal: function ordinal(number) {\n      var b = number % 10,\n          output = toInt(number % 100 / 10) === 1 ? 'th' : b === 1 ? 'st' : b === 2 ? 'nd' : b === 3 ? 'rd' : 'th';\n      return number + output;\n    }\n  }); // Side effect imports\n\n  hooks.lang = deprecate('moment.lang is deprecated. Use moment.locale instead.', getSetGlobalLocale);\n  hooks.langData = deprecate('moment.langData is deprecated. Use moment.localeData instead.', getLocale);\n  var mathAbs = Math.abs;\n\n  function abs() {\n    var data = this._data;\n    this._milliseconds = mathAbs(this._milliseconds);\n    this._days = mathAbs(this._days);\n    this._months = mathAbs(this._months);\n    data.milliseconds = mathAbs(data.milliseconds);\n    data.seconds = mathAbs(data.seconds);\n    data.minutes = mathAbs(data.minutes);\n    data.hours = mathAbs(data.hours);\n    data.months = mathAbs(data.months);\n    data.years = mathAbs(data.years);\n    return this;\n  }\n\n  function addSubtract$1(duration, input, value, direction) {\n    var other = createDuration(input, value);\n    duration._milliseconds += direction * other._milliseconds;\n    duration._days += direction * other._days;\n    duration._months += direction * other._months;\n    return duration._bubble();\n  } // supports only 2.0-style add(1, 's') or add(duration)\n\n\n  function add$1(input, value) {\n    return addSubtract$1(this, input, value, 1);\n  } // supports only 2.0-style subtract(1, 's') or subtract(duration)\n\n\n  function subtract$1(input, value) {\n    return addSubtract$1(this, input, value, -1);\n  }\n\n  function absCeil(number) {\n    if (number < 0) {\n      return Math.floor(number);\n    } else {\n      return Math.ceil(number);\n    }\n  }\n\n  function bubble() {\n    var milliseconds = this._milliseconds;\n    var days = this._days;\n    var months = this._months;\n    var data = this._data;\n    var seconds, minutes, hours, years, monthsFromDays; // if we have a mix of positive and negative values, bubble down first\n    // check: https://github.com/moment/moment/issues/2166\n\n    if (!(milliseconds >= 0 && days >= 0 && months >= 0 || milliseconds <= 0 && days <= 0 && months <= 0)) {\n      milliseconds += absCeil(monthsToDays(months) + days) * 864e5;\n      days = 0;\n      months = 0;\n    } // The following code bubbles up values, see the tests for\n    // examples of what that means.\n\n\n    data.milliseconds = milliseconds % 1000;\n    seconds = absFloor(milliseconds / 1000);\n    data.seconds = seconds % 60;\n    minutes = absFloor(seconds / 60);\n    data.minutes = minutes % 60;\n    hours = absFloor(minutes / 60);\n    data.hours = hours % 24;\n    days += absFloor(hours / 24); // convert days to months\n\n    monthsFromDays = absFloor(daysToMonths(days));\n    months += monthsFromDays;\n    days -= absCeil(monthsToDays(monthsFromDays)); // 12 months -> 1 year\n\n    years = absFloor(months / 12);\n    months %= 12;\n    data.days = days;\n    data.months = months;\n    data.years = years;\n    return this;\n  }\n\n  function daysToMonths(days) {\n    // 400 years have 146097 days (taking into account leap year rules)\n    // 400 years have 12 months === 4800\n    return days * 4800 / 146097;\n  }\n\n  function monthsToDays(months) {\n    // the reverse of daysToMonths\n    return months * 146097 / 4800;\n  }\n\n  function as(units) {\n    if (!this.isValid()) {\n      return NaN;\n    }\n\n    var days;\n    var months;\n    var milliseconds = this._milliseconds;\n    units = normalizeUnits(units);\n\n    if (units === 'month' || units === 'year') {\n      days = this._days + milliseconds / 864e5;\n      months = this._months + daysToMonths(days);\n      return units === 'month' ? months : months / 12;\n    } else {\n      // handle milliseconds separately because of floating point math errors (issue #1867)\n      days = this._days + Math.round(monthsToDays(this._months));\n\n      switch (units) {\n        case 'week':\n          return days / 7 + milliseconds / 6048e5;\n\n        case 'day':\n          return days + milliseconds / 864e5;\n\n        case 'hour':\n          return days * 24 + milliseconds / 36e5;\n\n        case 'minute':\n          return days * 1440 + milliseconds / 6e4;\n\n        case 'second':\n          return days * 86400 + milliseconds / 1000;\n        // Math.floor prevents floating point math errors here\n\n        case 'millisecond':\n          return Math.floor(days * 864e5) + milliseconds;\n\n        default:\n          throw new Error('Unknown unit ' + units);\n      }\n    }\n  } // TODO: Use this.as('ms')?\n\n\n  function valueOf$1() {\n    if (!this.isValid()) {\n      return NaN;\n    }\n\n    return this._milliseconds + this._days * 864e5 + this._months % 12 * 2592e6 + toInt(this._months / 12) * 31536e6;\n  }\n\n  function makeAs(alias) {\n    return function () {\n      return this.as(alias);\n    };\n  }\n\n  var asMilliseconds = makeAs('ms');\n  var asSeconds = makeAs('s');\n  var asMinutes = makeAs('m');\n  var asHours = makeAs('h');\n  var asDays = makeAs('d');\n  var asWeeks = makeAs('w');\n  var asMonths = makeAs('M');\n  var asYears = makeAs('y');\n\n  function clone$1() {\n    return createDuration(this);\n  }\n\n  function get$2(units) {\n    units = normalizeUnits(units);\n    return this.isValid() ? this[units + 's']() : NaN;\n  }\n\n  function makeGetter(name) {\n    return function () {\n      return this.isValid() ? this._data[name] : NaN;\n    };\n  }\n\n  var milliseconds = makeGetter('milliseconds');\n  var seconds = makeGetter('seconds');\n  var minutes = makeGetter('minutes');\n  var hours = makeGetter('hours');\n  var days = makeGetter('days');\n  var months = makeGetter('months');\n  var years = makeGetter('years');\n\n  function weeks() {\n    return absFloor(this.days() / 7);\n  }\n\n  var round = Math.round;\n  var thresholds = {\n    ss: 44,\n    // a few seconds to seconds\n    s: 45,\n    // seconds to minute\n    m: 45,\n    // minutes to hour\n    h: 22,\n    // hours to day\n    d: 26,\n    // days to month\n    M: 11 // months to year\n\n  }; // helper function for moment.fn.from, moment.fn.fromNow, and moment.duration.fn.humanize\n\n  function substituteTimeAgo(string, number, withoutSuffix, isFuture, locale) {\n    return locale.relativeTime(number || 1, !!withoutSuffix, string, isFuture);\n  }\n\n  function relativeTime$1(posNegDuration, withoutSuffix, locale) {\n    var duration = createDuration(posNegDuration).abs();\n    var seconds = round(duration.as('s'));\n    var minutes = round(duration.as('m'));\n    var hours = round(duration.as('h'));\n    var days = round(duration.as('d'));\n    var months = round(duration.as('M'));\n    var years = round(duration.as('y'));\n    var a = seconds <= thresholds.ss && ['s', seconds] || seconds < thresholds.s && ['ss', seconds] || minutes <= 1 && ['m'] || minutes < thresholds.m && ['mm', minutes] || hours <= 1 && ['h'] || hours < thresholds.h && ['hh', hours] || days <= 1 && ['d'] || days < thresholds.d && ['dd', days] || months <= 1 && ['M'] || months < thresholds.M && ['MM', months] || years <= 1 && ['y'] || ['yy', years];\n    a[2] = withoutSuffix;\n    a[3] = +posNegDuration > 0;\n    a[4] = locale;\n    return substituteTimeAgo.apply(null, a);\n  } // This function allows you to set the rounding function for relative time strings\n\n\n  function getSetRelativeTimeRounding(roundingFunction) {\n    if (roundingFunction === undefined) {\n      return round;\n    }\n\n    if (typeof roundingFunction === 'function') {\n      round = roundingFunction;\n      return true;\n    }\n\n    return false;\n  } // This function allows you to set a threshold for relative time strings\n\n\n  function getSetRelativeTimeThreshold(threshold, limit) {\n    if (thresholds[threshold] === undefined) {\n      return false;\n    }\n\n    if (limit === undefined) {\n      return thresholds[threshold];\n    }\n\n    thresholds[threshold] = limit;\n\n    if (threshold === 's') {\n      thresholds.ss = limit - 1;\n    }\n\n    return true;\n  }\n\n  function humanize(withSuffix) {\n    if (!this.isValid()) {\n      return this.localeData().invalidDate();\n    }\n\n    var locale = this.localeData();\n    var output = relativeTime$1(this, !withSuffix, locale);\n\n    if (withSuffix) {\n      output = locale.pastFuture(+this, output);\n    }\n\n    return locale.postformat(output);\n  }\n\n  var abs$1 = Math.abs;\n\n  function sign(x) {\n    return (x > 0) - (x < 0) || +x;\n  }\n\n  function toISOString$1() {\n    // for ISO strings we do not use the normal bubbling rules:\n    //  * milliseconds bubble up until they become hours\n    //  * days do not bubble at all\n    //  * months bubble up until they become years\n    // This is because there is no context-free conversion between hours and days\n    // (think of clock changes)\n    // and also not between days and months (28-31 days per month)\n    if (!this.isValid()) {\n      return this.localeData().invalidDate();\n    }\n\n    var seconds = abs$1(this._milliseconds) / 1000;\n    var days = abs$1(this._days);\n    var months = abs$1(this._months);\n    var minutes, hours, years; // 3600 seconds -> 60 minutes -> 1 hour\n\n    minutes = absFloor(seconds / 60);\n    hours = absFloor(minutes / 60);\n    seconds %= 60;\n    minutes %= 60; // 12 months -> 1 year\n\n    years = absFloor(months / 12);\n    months %= 12; // inspired by https://github.com/dordille/moment-isoduration/blob/master/moment.isoduration.js\n\n    var Y = years;\n    var M = months;\n    var D = days;\n    var h = hours;\n    var m = minutes;\n    var s = seconds ? seconds.toFixed(3).replace(/\\.?0+$/, '') : '';\n    var total = this.asSeconds();\n\n    if (!total) {\n      // this is the same as C#'s (Noda) and python (isodate)...\n      // but not other JS (goog.date)\n      return 'P0D';\n    }\n\n    var totalSign = total < 0 ? '-' : '';\n    var ymSign = sign(this._months) !== sign(total) ? '-' : '';\n    var daysSign = sign(this._days) !== sign(total) ? '-' : '';\n    var hmsSign = sign(this._milliseconds) !== sign(total) ? '-' : '';\n    return totalSign + 'P' + (Y ? ymSign + Y + 'Y' : '') + (M ? ymSign + M + 'M' : '') + (D ? daysSign + D + 'D' : '') + (h || m || s ? 'T' : '') + (h ? hmsSign + h + 'H' : '') + (m ? hmsSign + m + 'M' : '') + (s ? hmsSign + s + 'S' : '');\n  }\n\n  var proto$2 = Duration.prototype;\n  proto$2.isValid = isValid$1;\n  proto$2.abs = abs;\n  proto$2.add = add$1;\n  proto$2.subtract = subtract$1;\n  proto$2.as = as;\n  proto$2.asMilliseconds = asMilliseconds;\n  proto$2.asSeconds = asSeconds;\n  proto$2.asMinutes = asMinutes;\n  proto$2.asHours = asHours;\n  proto$2.asDays = asDays;\n  proto$2.asWeeks = asWeeks;\n  proto$2.asMonths = asMonths;\n  proto$2.asYears = asYears;\n  proto$2.valueOf = valueOf$1;\n  proto$2._bubble = bubble;\n  proto$2.clone = clone$1;\n  proto$2.get = get$2;\n  proto$2.milliseconds = milliseconds;\n  proto$2.seconds = seconds;\n  proto$2.minutes = minutes;\n  proto$2.hours = hours;\n  proto$2.days = days;\n  proto$2.weeks = weeks;\n  proto$2.months = months;\n  proto$2.years = years;\n  proto$2.humanize = humanize;\n  proto$2.toISOString = toISOString$1;\n  proto$2.toString = toISOString$1;\n  proto$2.toJSON = toISOString$1;\n  proto$2.locale = locale;\n  proto$2.localeData = localeData;\n  proto$2.toIsoString = deprecate('toIsoString() is deprecated. Please use toISOString() instead (notice the capitals)', toISOString$1);\n  proto$2.lang = lang; // Side effect imports\n  // FORMATTING\n\n  addFormatToken('X', 0, 0, 'unix');\n  addFormatToken('x', 0, 0, 'valueOf'); // PARSING\n\n  addRegexToken('x', matchSigned);\n  addRegexToken('X', matchTimestamp);\n  addParseToken('X', function (input, array, config) {\n    config._d = new Date(parseFloat(input, 10) * 1000);\n  });\n  addParseToken('x', function (input, array, config) {\n    config._d = new Date(toInt(input));\n  }); // Side effect imports\n\n  hooks.version = '2.22.2';\n  setHookCallback(createLocal);\n  hooks.fn = proto;\n  hooks.min = min;\n  hooks.max = max;\n  hooks.now = now;\n  hooks.utc = createUTC;\n  hooks.unix = createUnix;\n  hooks.months = listMonths;\n  hooks.isDate = isDate;\n  hooks.locale = getSetGlobalLocale;\n  hooks.invalid = createInvalid;\n  hooks.duration = createDuration;\n  hooks.isMoment = isMoment;\n  hooks.weekdays = listWeekdays;\n  hooks.parseZone = createInZone;\n  hooks.localeData = getLocale;\n  hooks.isDuration = isDuration;\n  hooks.monthsShort = listMonthsShort;\n  hooks.weekdaysMin = listWeekdaysMin;\n  hooks.defineLocale = defineLocale;\n  hooks.updateLocale = updateLocale;\n  hooks.locales = listLocales;\n  hooks.weekdaysShort = listWeekdaysShort;\n  hooks.normalizeUnits = normalizeUnits;\n  hooks.relativeTimeRounding = getSetRelativeTimeRounding;\n  hooks.relativeTimeThreshold = getSetRelativeTimeThreshold;\n  hooks.calendarFormat = getCalendarFormat;\n  hooks.prototype = proto; // currently HTML5 input type only supports 24-hour formats\n\n  hooks.HTML5_FMT = {\n    DATETIME_LOCAL: 'YYYY-MM-DDTHH:mm',\n    // <input type=\"datetime-local\" />\n    DATETIME_LOCAL_SECONDS: 'YYYY-MM-DDTHH:mm:ss',\n    // <input type=\"datetime-local\" step=\"1\" />\n    DATETIME_LOCAL_MS: 'YYYY-MM-DDTHH:mm:ss.SSS',\n    // <input type=\"datetime-local\" step=\"0.001\" />\n    DATE: 'YYYY-MM-DD',\n    // <input type=\"date\" />\n    TIME: 'HH:mm',\n    // <input type=\"time\" />\n    TIME_SECONDS: 'HH:mm:ss',\n    // <input type=\"time\" step=\"1\" />\n    TIME_MS: 'HH:mm:ss.SSS',\n    // <input type=\"time\" step=\"0.001\" />\n    WEEK: 'YYYY-[W]WW',\n    // <input type=\"week\" />\n    MONTH: 'YYYY-MM' // <input type=\"month\" />\n\n  };\n  return hooks;\n});","module.exports = require('./lib/axios');","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nimport { TextMessageFormat } from \"./TextMessageFormat\";\nimport { isArrayBuffer } from \"./Utils\";\n/** @private */\n\nvar HandshakeProtocol =\n/** @class */\nfunction () {\n  function HandshakeProtocol() {} // Handshake request is always JSON\n\n\n  HandshakeProtocol.prototype.writeHandshakeRequest = function (handshakeRequest) {\n    return TextMessageFormat.write(JSON.stringify(handshakeRequest));\n  };\n\n  HandshakeProtocol.prototype.parseHandshakeResponse = function (data) {\n    var responseMessage;\n    var messageData;\n    var remainingData;\n\n    if (isArrayBuffer(data) || typeof Buffer !== \"undefined\" && data instanceof Buffer) {\n      // Format is binary but still need to read JSON text from handshake response\n      var binaryData = new Uint8Array(data);\n      var separatorIndex = binaryData.indexOf(TextMessageFormat.RecordSeparatorCode);\n\n      if (separatorIndex === -1) {\n        throw new Error(\"Message is incomplete.\");\n      } // content before separator is handshake response\n      // optional content after is additional messages\n\n\n      var responseLength = separatorIndex + 1;\n      messageData = String.fromCharCode.apply(null, binaryData.slice(0, responseLength));\n      remainingData = binaryData.byteLength > responseLength ? binaryData.slice(responseLength).buffer : null;\n    } else {\n      var textData = data;\n      var separatorIndex = textData.indexOf(TextMessageFormat.RecordSeparator);\n\n      if (separatorIndex === -1) {\n        throw new Error(\"Message is incomplete.\");\n      } // content before separator is handshake response\n      // optional content after is additional messages\n\n\n      var responseLength = separatorIndex + 1;\n      messageData = textData.substring(0, responseLength);\n      remainingData = textData.length > responseLength ? textData.substring(responseLength) : null;\n    } // At this point we should have just the single handshake message\n\n\n    var messages = TextMessageFormat.parse(messageData);\n    var response = JSON.parse(messages[0]);\n\n    if (response.type) {\n      throw new Error(\"Expected a handshake response from the server.\");\n    }\n\n    responseMessage = response; // multiple messages could have arrived with handshake\n    // return additional data to be parsed as usual, or null if all parsed\n\n    return [remainingData, responseMessage];\n  };\n\n  return HandshakeProtocol;\n}();\n\nexport { HandshakeProtocol };","/**\n * Lodash (Custom Build) <https://lodash.com/>\n * Build: `lodash modularize exports=\"npm\" -o ./`\n * Copyright JS Foundation and other contributors <https://js.foundation/>\n * Released under MIT license <https://lodash.com/license>\n * Based on Underscore.js 1.8.3 <http://underscorejs.org/LICENSE>\n * Copyright Jeremy Ashkenas, DocumentCloud and Investigative Reporters & Editors\n */\n\n/** `Object#toString` result references. */\nvar asyncTag = '[object AsyncFunction]',\n    funcTag = '[object Function]',\n    genTag = '[object GeneratorFunction]',\n    nullTag = '[object Null]',\n    proxyTag = '[object Proxy]',\n    undefinedTag = '[object Undefined]';\n/** Detect free variable `global` from Node.js. */\n\nvar freeGlobal = typeof global == 'object' && global && global.Object === Object && global;\n/** Detect free variable `self`. */\n\nvar freeSelf = typeof self == 'object' && self && self.Object === Object && self;\n/** Used as a reference to the global object. */\n\nvar root = freeGlobal || freeSelf || Function('return this')();\n/** Used for built-in method references. */\n\nvar objectProto = Object.prototype;\n/** Used to check objects for own properties. */\n\nvar hasOwnProperty = objectProto.hasOwnProperty;\n/**\n * Used to resolve the\n * [`toStringTag`](http://ecma-international.org/ecma-262/7.0/#sec-object.prototype.tostring)\n * of values.\n */\n\nvar nativeObjectToString = objectProto.toString;\n/** Built-in value references. */\n\nvar Symbol = root.Symbol,\n    symToStringTag = Symbol ? Symbol.toStringTag : undefined;\n/**\n * The base implementation of `getTag` without fallbacks for buggy environments.\n *\n * @private\n * @param {*} value The value to query.\n * @returns {string} Returns the `toStringTag`.\n */\n\nfunction baseGetTag(value) {\n  if (value == null) {\n    return value === undefined ? undefinedTag : nullTag;\n  }\n\n  return symToStringTag && symToStringTag in Object(value) ? getRawTag(value) : objectToString(value);\n}\n/**\n * A specialized version of `baseGetTag` which ignores `Symbol.toStringTag` values.\n *\n * @private\n * @param {*} value The value to query.\n * @returns {string} Returns the raw `toStringTag`.\n */\n\n\nfunction getRawTag(value) {\n  var isOwn = hasOwnProperty.call(value, symToStringTag),\n      tag = value[symToStringTag];\n\n  try {\n    value[symToStringTag] = undefined;\n    var unmasked = true;\n  } catch (e) {}\n\n  var result = nativeObjectToString.call(value);\n\n  if (unmasked) {\n    if (isOwn) {\n      value[symToStringTag] = tag;\n    } else {\n      delete value[symToStringTag];\n    }\n  }\n\n  return result;\n}\n/**\n * Converts `value` to a string using `Object.prototype.toString`.\n *\n * @private\n * @param {*} value The value to convert.\n * @returns {string} Returns the converted string.\n */\n\n\nfunction objectToString(value) {\n  return nativeObjectToString.call(value);\n}\n/**\n * Checks if `value` is classified as a `Function` object.\n *\n * @static\n * @memberOf _\n * @since 0.1.0\n * @category Lang\n * @param {*} value The value to check.\n * @returns {boolean} Returns `true` if `value` is a function, else `false`.\n * @example\n *\n * _.isFunction(_);\n * // => true\n *\n * _.isFunction(/abc/);\n * // => false\n */\n\n\nfunction isFunction(value) {\n  if (!isObject(value)) {\n    return false;\n  } // The use of `Object#toString` avoids issues with the `typeof` operator\n  // in Safari 9 which returns 'object' for typed arrays and other constructors.\n\n\n  var tag = baseGetTag(value);\n  return tag == funcTag || tag == genTag || tag == asyncTag || tag == proxyTag;\n}\n/**\n * Checks if `value` is the\n * [language type](http://www.ecma-international.org/ecma-262/7.0/#sec-ecmascript-language-types)\n * of `Object`. (e.g. arrays, functions, objects, regexes, `new Number(0)`, and `new String('')`)\n *\n * @static\n * @memberOf _\n * @since 0.1.0\n * @category Lang\n * @param {*} value The value to check.\n * @returns {boolean} Returns `true` if `value` is an object, else `false`.\n * @example\n *\n * _.isObject({});\n * // => true\n *\n * _.isObject([1, 2, 3]);\n * // => true\n *\n * _.isObject(_.noop);\n * // => true\n *\n * _.isObject(null);\n * // => false\n */\n\n\nfunction isObject(value) {\n  var type = typeof value;\n  return value != null && (type == 'object' || type == 'function');\n}\n\nmodule.exports = isFunction;","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nvar __extends = this && this.__extends || function () {\n  var extendStatics = Object.setPrototypeOf || {\n    __proto__: []\n  } instanceof Array && function (d, b) {\n    d.__proto__ = b;\n  } || function (d, b) {\n    for (var p in b) {\n      if (b.hasOwnProperty(p)) d[p] = b[p];\n    }\n  };\n\n  return function (d, b) {\n    extendStatics(d, b);\n\n    function __() {\n      this.constructor = d;\n    }\n\n    d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());\n  };\n}();\n/** Error thrown when an HTTP request fails. */\n\n\nvar HttpError =\n/** @class */\nfunction (_super) {\n  __extends(HttpError, _super);\n  /** Constructs a new instance of {@link @aspnet/signalr.HttpError}.\r\n   *\r\n   * @param {string} errorMessage A descriptive error message.\r\n   * @param {number} statusCode The HTTP status code represented by this error.\r\n   */\n\n\n  function HttpError(errorMessage, statusCode) {\n    var _newTarget = this.constructor;\n\n    var _this = this;\n\n    var trueProto = _newTarget.prototype;\n    _this = _super.call(this, errorMessage) || this;\n    _this.statusCode = statusCode; // Workaround issue in Typescript compiler\n    // https://github.com/Microsoft/TypeScript/issues/13965#issuecomment-278570200\n\n    _this.__proto__ = trueProto;\n    return _this;\n  }\n\n  return HttpError;\n}(Error);\n\nexport { HttpError };\n/** Error thrown when a timeout elapses. */\n\nvar TimeoutError =\n/** @class */\nfunction (_super) {\n  __extends(TimeoutError, _super);\n  /** Constructs a new instance of {@link @aspnet/signalr.TimeoutError}.\r\n   *\r\n   * @param {string} errorMessage A descriptive error message.\r\n   */\n\n\n  function TimeoutError(errorMessage) {\n    var _newTarget = this.constructor;\n\n    if (errorMessage === void 0) {\n      errorMessage = \"A timeout occurred.\";\n    }\n\n    var _this = this;\n\n    var trueProto = _newTarget.prototype;\n    _this = _super.call(this, errorMessage) || this; // Workaround issue in Typescript compiler\n    // https://github.com/Microsoft/TypeScript/issues/13965#issuecomment-278570200\n\n    _this.__proto__ = trueProto;\n    return _this;\n  }\n\n  return TimeoutError;\n}(Error);\n\nexport { TimeoutError };\n/** Error thrown when an action is aborted. */\n\nvar AbortError =\n/** @class */\nfunction (_super) {\n  __extends(AbortError, _super);\n  /** Constructs a new instance of {@link AbortError}.\r\n   *\r\n   * @param {string} errorMessage A descriptive error message.\r\n   */\n\n\n  function AbortError(errorMessage) {\n    var _newTarget = this.constructor;\n\n    if (errorMessage === void 0) {\n      errorMessage = \"An abort occurred.\";\n    }\n\n    var _this = this;\n\n    var trueProto = _newTarget.prototype;\n    _this = _super.call(this, errorMessage) || this; // Workaround issue in Typescript compiler\n    // https://github.com/Microsoft/TypeScript/issues/13965#issuecomment-278570200\n\n    _this.__proto__ = trueProto;\n    return _this;\n  }\n\n  return AbortError;\n}(Error);\n\nexport { AbortError };","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nvar __extends = this && this.__extends || function () {\n  var extendStatics = Object.setPrototypeOf || {\n    __proto__: []\n  } instanceof Array && function (d, b) {\n    d.__proto__ = b;\n  } || function (d, b) {\n    for (var p in b) {\n      if (b.hasOwnProperty(p)) d[p] = b[p];\n    }\n  };\n\n  return function (d, b) {\n    extendStatics(d, b);\n\n    function __() {\n      this.constructor = d;\n    }\n\n    d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());\n  };\n}();\n\nimport { AbortError } from \"./Errors\";\nimport { HttpClient } from \"./HttpClient\";\nimport { XhrHttpClient } from \"./XhrHttpClient\";\nvar nodeHttpClientModule;\n\nif (typeof XMLHttpRequest === \"undefined\") {\n  // In order to ignore the dynamic require in webpack builds we need to do this magic\n  // @ts-ignore: TS doesn't know about these names\n  var requireFunc = typeof __webpack_require__ === \"function\" ? __non_webpack_require__ : require;\n  nodeHttpClientModule = requireFunc(\"./NodeHttpClient\");\n}\n/** Default implementation of {@link @aspnet/signalr.HttpClient}. */\n\n\nvar DefaultHttpClient =\n/** @class */\nfunction (_super) {\n  __extends(DefaultHttpClient, _super);\n  /** Creates a new instance of the {@link @aspnet/signalr.DefaultHttpClient}, using the provided {@link @aspnet/signalr.ILogger} to log messages. */\n\n\n  function DefaultHttpClient(logger) {\n    var _this = _super.call(this) || this;\n\n    if (typeof XMLHttpRequest !== \"undefined\") {\n      _this.httpClient = new XhrHttpClient(logger);\n    } else if (typeof nodeHttpClientModule !== \"undefined\") {\n      _this.httpClient = new nodeHttpClientModule.NodeHttpClient(logger);\n    } else {\n      throw new Error(\"No HttpClient could be created.\");\n    }\n\n    return _this;\n  }\n  /** @inheritDoc */\n\n\n  DefaultHttpClient.prototype.send = function (request) {\n    // Check that abort was not signaled before calling send\n    if (request.abortSignal && request.abortSignal.aborted) {\n      return Promise.reject(new AbortError());\n    }\n\n    if (!request.method) {\n      return Promise.reject(new Error(\"No method defined.\"));\n    }\n\n    if (!request.url) {\n      return Promise.reject(new Error(\"No url defined.\"));\n    }\n\n    return this.httpClient.send(request);\n  };\n\n  DefaultHttpClient.prototype.getCookieString = function (url) {\n    return this.httpClient.getCookieString(url);\n  };\n\n  return DefaultHttpClient;\n}(HttpClient);\n\nexport { DefaultHttpClient };","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nvar __assign = this && this.__assign || Object.assign || function (t) {\n  for (var s, i = 1, n = arguments.length; i < n; i++) {\n    s = arguments[i];\n\n    for (var p in s) {\n      if (Object.prototype.hasOwnProperty.call(s, p)) t[p] = s[p];\n    }\n  }\n\n  return t;\n};\n/** Represents an HTTP response. */\n\n\nvar HttpResponse =\n/** @class */\nfunction () {\n  function HttpResponse(statusCode, statusText, content) {\n    this.statusCode = statusCode;\n    this.statusText = statusText;\n    this.content = content;\n  }\n\n  return HttpResponse;\n}();\n\nexport { HttpResponse };\n/** Abstraction over an HTTP client.\r\n *\r\n * This class provides an abstraction over an HTTP client so that a different implementation can be provided on different platforms.\r\n */\n\nvar HttpClient =\n/** @class */\nfunction () {\n  function HttpClient() {}\n\n  HttpClient.prototype.get = function (url, options) {\n    return this.send(__assign({}, options, {\n      method: \"GET\",\n      url: url\n    }));\n  };\n\n  HttpClient.prototype.post = function (url, options) {\n    return this.send(__assign({}, options, {\n      method: \"POST\",\n      url: url\n    }));\n  };\n\n  HttpClient.prototype.delete = function (url, options) {\n    return this.send(__assign({}, options, {\n      method: \"DELETE\",\n      url: url\n    }));\n  };\n  /** Gets all cookies that apply to the specified URL.\r\n   *\r\n   * @param url The URL that the cookies are valid for.\r\n   * @returns {string} A string containing all the key-value cookie pairs for the specified URL.\r\n   */\n  // @ts-ignore\n\n\n  HttpClient.prototype.getCookieString = function (url) {\n    return \"\";\n  };\n\n  return HttpClient;\n}();\n\nexport { HttpClient };","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nvar __extends = this && this.__extends || function () {\n  var extendStatics = Object.setPrototypeOf || {\n    __proto__: []\n  } instanceof Array && function (d, b) {\n    d.__proto__ = b;\n  } || function (d, b) {\n    for (var p in b) {\n      if (b.hasOwnProperty(p)) d[p] = b[p];\n    }\n  };\n\n  return function (d, b) {\n    extendStatics(d, b);\n\n    function __() {\n      this.constructor = d;\n    }\n\n    d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());\n  };\n}();\n\nimport { AbortError, HttpError, TimeoutError } from \"./Errors\";\nimport { HttpClient, HttpResponse } from \"./HttpClient\";\nimport { LogLevel } from \"./ILogger\";\n\nvar XhrHttpClient =\n/** @class */\nfunction (_super) {\n  __extends(XhrHttpClient, _super);\n\n  function XhrHttpClient(logger) {\n    var _this = _super.call(this) || this;\n\n    _this.logger = logger;\n    return _this;\n  }\n  /** @inheritDoc */\n\n\n  XhrHttpClient.prototype.send = function (request) {\n    var _this = this; // Check that abort was not signaled before calling send\n\n\n    if (request.abortSignal && request.abortSignal.aborted) {\n      return Promise.reject(new AbortError());\n    }\n\n    if (!request.method) {\n      return Promise.reject(new Error(\"No method defined.\"));\n    }\n\n    if (!request.url) {\n      return Promise.reject(new Error(\"No url defined.\"));\n    }\n\n    return new Promise(function (resolve, reject) {\n      var xhr = new XMLHttpRequest();\n      xhr.open(request.method, request.url, true);\n      xhr.withCredentials = true;\n      xhr.setRequestHeader(\"X-Requested-With\", \"XMLHttpRequest\"); // Explicitly setting the Content-Type header for React Native on Android platform.\n\n      xhr.setRequestHeader(\"Content-Type\", \"text/plain;charset=UTF-8\");\n      var headers = request.headers;\n\n      if (headers) {\n        Object.keys(headers).forEach(function (header) {\n          xhr.setRequestHeader(header, headers[header]);\n        });\n      }\n\n      if (request.responseType) {\n        xhr.responseType = request.responseType;\n      }\n\n      if (request.abortSignal) {\n        request.abortSignal.onabort = function () {\n          xhr.abort();\n          reject(new AbortError());\n        };\n      }\n\n      if (request.timeout) {\n        xhr.timeout = request.timeout;\n      }\n\n      xhr.onload = function () {\n        if (request.abortSignal) {\n          request.abortSignal.onabort = null;\n        }\n\n        if (xhr.status >= 200 && xhr.status < 300) {\n          resolve(new HttpResponse(xhr.status, xhr.statusText, xhr.response || xhr.responseText));\n        } else {\n          reject(new HttpError(xhr.statusText, xhr.status));\n        }\n      };\n\n      xhr.onerror = function () {\n        _this.logger.log(LogLevel.Warning, \"Error from HTTP request. \" + xhr.status + \": \" + xhr.statusText + \".\");\n\n        reject(new HttpError(xhr.statusText, xhr.status));\n      };\n\n      xhr.ontimeout = function () {\n        _this.logger.log(LogLevel.Warning, \"Timeout from HTTP request.\");\n\n        reject(new TimeoutError());\n      };\n\n      xhr.send(request.content || \"\");\n    });\n  };\n\n  return XhrHttpClient;\n}(HttpClient);\n\nexport { XhrHttpClient };","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\n\n/** Defines the type of a Hub Message. */\nexport var MessageType;\n\n(function (MessageType) {\n  /** Indicates the message is an Invocation message and implements the {@link @aspnet/signalr.InvocationMessage} interface. */\n  MessageType[MessageType[\"Invocation\"] = 1] = \"Invocation\";\n  /** Indicates the message is a StreamItem message and implements the {@link @aspnet/signalr.StreamItemMessage} interface. */\n\n  MessageType[MessageType[\"StreamItem\"] = 2] = \"StreamItem\";\n  /** Indicates the message is a Completion message and implements the {@link @aspnet/signalr.CompletionMessage} interface. */\n\n  MessageType[MessageType[\"Completion\"] = 3] = \"Completion\";\n  /** Indicates the message is a Stream Invocation message and implements the {@link @aspnet/signalr.StreamInvocationMessage} interface. */\n\n  MessageType[MessageType[\"StreamInvocation\"] = 4] = \"StreamInvocation\";\n  /** Indicates the message is a Cancel Invocation message and implements the {@link @aspnet/signalr.CancelInvocationMessage} interface. */\n\n  MessageType[MessageType[\"CancelInvocation\"] = 5] = \"CancelInvocation\";\n  /** Indicates the message is a Ping message and implements the {@link @aspnet/signalr.PingMessage} interface. */\n\n  MessageType[MessageType[\"Ping\"] = 6] = \"Ping\";\n  /** Indicates the message is a Close message and implements the {@link @aspnet/signalr.CloseMessage} interface. */\n\n  MessageType[MessageType[\"Close\"] = 7] = \"Close\";\n})(MessageType || (MessageType = {}));","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nvar __awaiter = this && this.__awaiter || function (thisArg, _arguments, P, generator) {\n  return new (P || (P = Promise))(function (resolve, reject) {\n    function fulfilled(value) {\n      try {\n        step(generator.next(value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function rejected(value) {\n      try {\n        step(generator[\"throw\"](value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function step(result) {\n      result.done ? resolve(result.value) : new P(function (resolve) {\n        resolve(result.value);\n      }).then(fulfilled, rejected);\n    }\n\n    step((generator = generator.apply(thisArg, _arguments || [])).next());\n  });\n};\n\nvar __generator = this && this.__generator || function (thisArg, body) {\n  var _ = {\n    label: 0,\n    sent: function sent() {\n      if (t[0] & 1) throw t[1];\n      return t[1];\n    },\n    trys: [],\n    ops: []\n  },\n      f,\n      y,\n      t,\n      g;\n  return g = {\n    next: verb(0),\n    \"throw\": verb(1),\n    \"return\": verb(2)\n  }, typeof Symbol === \"function\" && (g[Symbol.iterator] = function () {\n    return this;\n  }), g;\n\n  function verb(n) {\n    return function (v) {\n      return step([n, v]);\n    };\n  }\n\n  function step(op) {\n    if (f) throw new TypeError(\"Generator is already executing.\");\n\n    while (_) {\n      try {\n        if (f = 1, y && (t = op[0] & 2 ? y[\"return\"] : op[0] ? y[\"throw\"] || ((t = y[\"return\"]) && t.call(y), 0) : y.next) && !(t = t.call(y, op[1])).done) return t;\n        if (y = 0, t) op = [op[0] & 2, t.value];\n\n        switch (op[0]) {\n          case 0:\n          case 1:\n            t = op;\n            break;\n\n          case 4:\n            _.label++;\n            return {\n              value: op[1],\n              done: false\n            };\n\n          case 5:\n            _.label++;\n            y = op[1];\n            op = [0];\n            continue;\n\n          case 7:\n            op = _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n\n          default:\n            if (!(t = _.trys, t = t.length > 0 && t[t.length - 1]) && (op[0] === 6 || op[0] === 2)) {\n              _ = 0;\n              continue;\n            }\n\n            if (op[0] === 3 && (!t || op[1] > t[0] && op[1] < t[3])) {\n              _.label = op[1];\n              break;\n            }\n\n            if (op[0] === 6 && _.label < t[1]) {\n              _.label = t[1];\n              t = op;\n              break;\n            }\n\n            if (t && _.label < t[2]) {\n              _.label = t[2];\n\n              _.ops.push(op);\n\n              break;\n            }\n\n            if (t[2]) _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n        }\n\n        op = body.call(thisArg, _);\n      } catch (e) {\n        op = [6, e];\n        y = 0;\n      } finally {\n        f = t = 0;\n      }\n    }\n\n    if (op[0] & 5) throw op[1];\n    return {\n      value: op[0] ? op[1] : void 0,\n      done: true\n    };\n  }\n};\n\nimport { HandshakeProtocol } from \"./HandshakeProtocol\";\nimport { MessageType } from \"./IHubProtocol\";\nimport { LogLevel } from \"./ILogger\";\nimport { Arg, Subject } from \"./Utils\";\nvar DEFAULT_TIMEOUT_IN_MS = 30 * 1000;\nvar DEFAULT_PING_INTERVAL_IN_MS = 15 * 1000;\n/** Describes the current state of the {@link HubConnection} to the server. */\n\nexport var HubConnectionState;\n\n(function (HubConnectionState) {\n  /** The hub connection is disconnected. */\n  HubConnectionState[HubConnectionState[\"Disconnected\"] = 0] = \"Disconnected\";\n  /** The hub connection is connected. */\n\n  HubConnectionState[HubConnectionState[\"Connected\"] = 1] = \"Connected\";\n})(HubConnectionState || (HubConnectionState = {}));\n/** Represents a connection to a SignalR Hub. */\n\n\nvar HubConnection =\n/** @class */\nfunction () {\n  function HubConnection(connection, logger, protocol) {\n    var _this = this;\n\n    Arg.isRequired(connection, \"connection\");\n    Arg.isRequired(logger, \"logger\");\n    Arg.isRequired(protocol, \"protocol\");\n    this.serverTimeoutInMilliseconds = DEFAULT_TIMEOUT_IN_MS;\n    this.keepAliveIntervalInMilliseconds = DEFAULT_PING_INTERVAL_IN_MS;\n    this.logger = logger;\n    this.protocol = protocol;\n    this.connection = connection;\n    this.handshakeProtocol = new HandshakeProtocol();\n\n    this.connection.onreceive = function (data) {\n      return _this.processIncomingData(data);\n    };\n\n    this.connection.onclose = function (error) {\n      return _this.connectionClosed(error);\n    };\n\n    this.callbacks = {};\n    this.methods = {};\n    this.closedCallbacks = [];\n    this.id = 0;\n    this.receivedHandshakeResponse = false;\n    this.connectionState = HubConnectionState.Disconnected;\n    this.cachedPingMessage = this.protocol.writeMessage({\n      type: MessageType.Ping\n    });\n  }\n  /** @internal */\n  // Using a public static factory method means we can have a private constructor and an _internal_\n  // create method that can be used by HubConnectionBuilder. An \"internal\" constructor would just\n  // be stripped away and the '.d.ts' file would have no constructor, which is interpreted as a\n  // public parameter-less constructor.\n\n\n  HubConnection.create = function (connection, logger, protocol) {\n    return new HubConnection(connection, logger, protocol);\n  };\n\n  Object.defineProperty(HubConnection.prototype, \"state\", {\n    /** Indicates the state of the {@link HubConnection} to the server. */\n    get: function get() {\n      return this.connectionState;\n    },\n    enumerable: true,\n    configurable: true\n  });\n  /** Starts the connection.\r\n   *\r\n   * @returns {Promise<void>} A Promise that resolves when the connection has been successfully established, or rejects with an error.\r\n   */\n\n  HubConnection.prototype.start = function () {\n    return __awaiter(this, void 0, void 0, function () {\n      var handshakeRequest, handshakePromise;\n\n      var _this = this;\n\n      return __generator(this, function (_a) {\n        switch (_a.label) {\n          case 0:\n            handshakeRequest = {\n              protocol: this.protocol.name,\n              version: this.protocol.version\n            };\n            this.logger.log(LogLevel.Debug, \"Starting HubConnection.\");\n            this.receivedHandshakeResponse = false;\n            handshakePromise = new Promise(function (resolve, reject) {\n              _this.handshakeResolver = resolve;\n              _this.handshakeRejecter = reject;\n            });\n            return [4\n            /*yield*/\n            , this.connection.start(this.protocol.transferFormat)];\n\n          case 1:\n            _a.sent();\n\n            this.logger.log(LogLevel.Debug, \"Sending handshake request.\");\n            return [4\n            /*yield*/\n            , this.sendMessage(this.handshakeProtocol.writeHandshakeRequest(handshakeRequest))];\n\n          case 2:\n            _a.sent();\n\n            this.logger.log(LogLevel.Information, \"Using HubProtocol '\" + this.protocol.name + \"'.\"); // defensively cleanup timeout in case we receive a message from the server before we finish start\n\n            this.cleanupTimeout();\n            this.resetTimeoutPeriod();\n            this.resetKeepAliveInterval(); // Wait for the handshake to complete before marking connection as connected\n\n            return [4\n            /*yield*/\n            , handshakePromise];\n\n          case 3:\n            // Wait for the handshake to complete before marking connection as connected\n            _a.sent();\n\n            this.connectionState = HubConnectionState.Connected;\n            return [2\n            /*return*/\n            ];\n        }\n      });\n    });\n  };\n  /** Stops the connection.\r\n   *\r\n   * @returns {Promise<void>} A Promise that resolves when the connection has been successfully terminated, or rejects with an error.\r\n   */\n\n\n  HubConnection.prototype.stop = function () {\n    this.logger.log(LogLevel.Debug, \"Stopping HubConnection.\");\n    this.cleanupTimeout();\n    this.cleanupPingTimer();\n    return this.connection.stop();\n  };\n  /** Invokes a streaming hub method on the server using the specified name and arguments.\r\n   *\r\n   * @typeparam T The type of the items returned by the server.\r\n   * @param {string} methodName The name of the server method to invoke.\r\n   * @param {any[]} args The arguments used to invoke the server method.\r\n   * @returns {IStreamResult<T>} An object that yields results from the server as they are received.\r\n   */\n\n\n  HubConnection.prototype.stream = function (methodName) {\n    var _this = this;\n\n    var args = [];\n\n    for (var _i = 1; _i < arguments.length; _i++) {\n      args[_i - 1] = arguments[_i];\n    }\n\n    var invocationDescriptor = this.createStreamInvocation(methodName, args);\n    var subject = new Subject(function () {\n      var cancelInvocation = _this.createCancelInvocation(invocationDescriptor.invocationId);\n\n      var cancelMessage = _this.protocol.writeMessage(cancelInvocation);\n\n      delete _this.callbacks[invocationDescriptor.invocationId];\n      return _this.sendMessage(cancelMessage);\n    });\n\n    this.callbacks[invocationDescriptor.invocationId] = function (invocationEvent, error) {\n      if (error) {\n        subject.error(error);\n        return;\n      } else if (invocationEvent) {\n        // invocationEvent will not be null when an error is not passed to the callback\n        if (invocationEvent.type === MessageType.Completion) {\n          if (invocationEvent.error) {\n            subject.error(new Error(invocationEvent.error));\n          } else {\n            subject.complete();\n          }\n        } else {\n          subject.next(invocationEvent.item);\n        }\n      }\n    };\n\n    var message = this.protocol.writeMessage(invocationDescriptor);\n    this.sendMessage(message).catch(function (e) {\n      subject.error(e);\n      delete _this.callbacks[invocationDescriptor.invocationId];\n    });\n    return subject;\n  };\n\n  HubConnection.prototype.sendMessage = function (message) {\n    this.resetKeepAliveInterval();\n    return this.connection.send(message);\n  };\n  /** Invokes a hub method on the server using the specified name and arguments. Does not wait for a response from the receiver.\r\n   *\r\n   * The Promise returned by this method resolves when the client has sent the invocation to the server. The server may still\r\n   * be processing the invocation.\r\n   *\r\n   * @param {string} methodName The name of the server method to invoke.\r\n   * @param {any[]} args The arguments used to invoke the server method.\r\n   * @returns {Promise<void>} A Promise that resolves when the invocation has been successfully sent, or rejects with an error.\r\n   */\n\n\n  HubConnection.prototype.send = function (methodName) {\n    var args = [];\n\n    for (var _i = 1; _i < arguments.length; _i++) {\n      args[_i - 1] = arguments[_i];\n    }\n\n    var invocationDescriptor = this.createInvocation(methodName, args, true);\n    var message = this.protocol.writeMessage(invocationDescriptor);\n    return this.sendMessage(message);\n  };\n  /** Invokes a hub method on the server using the specified name and arguments.\r\n   *\r\n   * The Promise returned by this method resolves when the server indicates it has finished invoking the method. When the promise\r\n   * resolves, the server has finished invoking the method. If the server method returns a result, it is produced as the result of\r\n   * resolving the Promise.\r\n   *\r\n   * @typeparam T The expected return type.\r\n   * @param {string} methodName The name of the server method to invoke.\r\n   * @param {any[]} args The arguments used to invoke the server method.\r\n   * @returns {Promise<T>} A Promise that resolves with the result of the server method (if any), or rejects with an error.\r\n   */\n\n\n  HubConnection.prototype.invoke = function (methodName) {\n    var _this = this;\n\n    var args = [];\n\n    for (var _i = 1; _i < arguments.length; _i++) {\n      args[_i - 1] = arguments[_i];\n    }\n\n    var invocationDescriptor = this.createInvocation(methodName, args, false);\n    var p = new Promise(function (resolve, reject) {\n      // invocationId will always have a value for a non-blocking invocation\n      _this.callbacks[invocationDescriptor.invocationId] = function (invocationEvent, error) {\n        if (error) {\n          reject(error);\n          return;\n        } else if (invocationEvent) {\n          // invocationEvent will not be null when an error is not passed to the callback\n          if (invocationEvent.type === MessageType.Completion) {\n            if (invocationEvent.error) {\n              reject(new Error(invocationEvent.error));\n            } else {\n              resolve(invocationEvent.result);\n            }\n          } else {\n            reject(new Error(\"Unexpected message type: \" + invocationEvent.type));\n          }\n        }\n      };\n\n      var message = _this.protocol.writeMessage(invocationDescriptor);\n\n      _this.sendMessage(message).catch(function (e) {\n        reject(e); // invocationId will always have a value for a non-blocking invocation\n\n        delete _this.callbacks[invocationDescriptor.invocationId];\n      });\n    });\n    return p;\n  };\n  /** Registers a handler that will be invoked when the hub method with the specified method name is invoked.\r\n   *\r\n   * @param {string} methodName The name of the hub method to define.\r\n   * @param {Function} newMethod The handler that will be raised when the hub method is invoked.\r\n   */\n\n\n  HubConnection.prototype.on = function (methodName, newMethod) {\n    if (!methodName || !newMethod) {\n      return;\n    }\n\n    methodName = methodName.toLowerCase();\n\n    if (!this.methods[methodName]) {\n      this.methods[methodName] = [];\n    } // Preventing adding the same handler multiple times.\n\n\n    if (this.methods[methodName].indexOf(newMethod) !== -1) {\n      return;\n    }\n\n    this.methods[methodName].push(newMethod);\n  };\n\n  HubConnection.prototype.off = function (methodName, method) {\n    if (!methodName) {\n      return;\n    }\n\n    methodName = methodName.toLowerCase();\n    var handlers = this.methods[methodName];\n\n    if (!handlers) {\n      return;\n    }\n\n    if (method) {\n      var removeIdx = handlers.indexOf(method);\n\n      if (removeIdx !== -1) {\n        handlers.splice(removeIdx, 1);\n\n        if (handlers.length === 0) {\n          delete this.methods[methodName];\n        }\n      }\n    } else {\n      delete this.methods[methodName];\n    }\n  };\n  /** Registers a handler that will be invoked when the connection is closed.\r\n   *\r\n   * @param {Function} callback The handler that will be invoked when the connection is closed. Optionally receives a single argument containing the error that caused the connection to close (if any).\r\n   */\n\n\n  HubConnection.prototype.onclose = function (callback) {\n    if (callback) {\n      this.closedCallbacks.push(callback);\n    }\n  };\n\n  HubConnection.prototype.processIncomingData = function (data) {\n    this.cleanupTimeout();\n\n    if (!this.receivedHandshakeResponse) {\n      data = this.processHandshakeResponse(data);\n      this.receivedHandshakeResponse = true;\n    } // Data may have all been read when processing handshake response\n\n\n    if (data) {\n      // Parse the messages\n      var messages = this.protocol.parseMessages(data, this.logger);\n\n      for (var _i = 0, messages_1 = messages; _i < messages_1.length; _i++) {\n        var message = messages_1[_i];\n\n        switch (message.type) {\n          case MessageType.Invocation:\n            this.invokeClientMethod(message);\n            break;\n\n          case MessageType.StreamItem:\n          case MessageType.Completion:\n            var callback = this.callbacks[message.invocationId];\n\n            if (callback != null) {\n              if (message.type === MessageType.Completion) {\n                delete this.callbacks[message.invocationId];\n              }\n\n              callback(message);\n            }\n\n            break;\n\n          case MessageType.Ping:\n            // Don't care about pings\n            break;\n\n          case MessageType.Close:\n            this.logger.log(LogLevel.Information, \"Close message received from server.\"); // We don't want to wait on the stop itself.\n            // tslint:disable-next-line:no-floating-promises\n\n            this.connection.stop(message.error ? new Error(\"Server returned an error on close: \" + message.error) : undefined);\n            break;\n\n          default:\n            this.logger.log(LogLevel.Warning, \"Invalid message type: \" + message.type + \".\");\n            break;\n        }\n      }\n    }\n\n    this.resetTimeoutPeriod();\n  };\n\n  HubConnection.prototype.processHandshakeResponse = function (data) {\n    var _a;\n\n    var responseMessage;\n    var remainingData;\n\n    try {\n      _a = this.handshakeProtocol.parseHandshakeResponse(data), remainingData = _a[0], responseMessage = _a[1];\n    } catch (e) {\n      var message = \"Error parsing handshake response: \" + e;\n      this.logger.log(LogLevel.Error, message);\n      var error = new Error(message); // We don't want to wait on the stop itself.\n      // tslint:disable-next-line:no-floating-promises\n\n      this.connection.stop(error);\n      this.handshakeRejecter(error);\n      throw error;\n    }\n\n    if (responseMessage.error) {\n      var message = \"Server returned handshake error: \" + responseMessage.error;\n      this.logger.log(LogLevel.Error, message);\n      this.handshakeRejecter(message); // We don't want to wait on the stop itself.\n      // tslint:disable-next-line:no-floating-promises\n\n      this.connection.stop(new Error(message));\n      throw new Error(message);\n    } else {\n      this.logger.log(LogLevel.Debug, \"Server handshake complete.\");\n    }\n\n    this.handshakeResolver();\n    return remainingData;\n  };\n\n  HubConnection.prototype.resetKeepAliveInterval = function () {\n    var _this = this;\n\n    this.cleanupPingTimer();\n    this.pingServerHandle = setTimeout(function () {\n      return __awaiter(_this, void 0, void 0, function () {\n        var _a;\n\n        return __generator(this, function (_b) {\n          switch (_b.label) {\n            case 0:\n              if (!(this.connectionState === HubConnectionState.Connected)) return [3\n              /*break*/\n              , 4];\n              _b.label = 1;\n\n            case 1:\n              _b.trys.push([1, 3,, 4]);\n\n              return [4\n              /*yield*/\n              , this.sendMessage(this.cachedPingMessage)];\n\n            case 2:\n              _b.sent();\n\n              return [3\n              /*break*/\n              , 4];\n\n            case 3:\n              _a = _b.sent(); // We don't care about the error. It should be seen elsewhere in the client.\n              // The connection is probably in a bad or closed state now, cleanup the timer so it stops triggering\n\n              this.cleanupPingTimer();\n              return [3\n              /*break*/\n              , 4];\n\n            case 4:\n              return [2\n              /*return*/\n              ];\n          }\n        });\n      });\n    }, this.keepAliveIntervalInMilliseconds);\n  };\n\n  HubConnection.prototype.resetTimeoutPeriod = function () {\n    var _this = this;\n\n    if (!this.connection.features || !this.connection.features.inherentKeepAlive) {\n      // Set the timeout timer\n      this.timeoutHandle = setTimeout(function () {\n        return _this.serverTimeout();\n      }, this.serverTimeoutInMilliseconds);\n    }\n  };\n\n  HubConnection.prototype.serverTimeout = function () {\n    // The server hasn't talked to us in a while. It doesn't like us anymore ... :(\n    // Terminate the connection, but we don't need to wait on the promise.\n    // tslint:disable-next-line:no-floating-promises\n    this.connection.stop(new Error(\"Server timeout elapsed without receiving a message from the server.\"));\n  };\n\n  HubConnection.prototype.invokeClientMethod = function (invocationMessage) {\n    var _this = this;\n\n    var methods = this.methods[invocationMessage.target.toLowerCase()];\n\n    if (methods) {\n      methods.forEach(function (m) {\n        return m.apply(_this, invocationMessage.arguments);\n      });\n\n      if (invocationMessage.invocationId) {\n        // This is not supported in v1. So we return an error to avoid blocking the server waiting for the response.\n        var message = \"Server requested a response, which is not supported in this version of the client.\";\n        this.logger.log(LogLevel.Error, message); // We don't need to wait on this Promise.\n        // tslint:disable-next-line:no-floating-promises\n\n        this.connection.stop(new Error(message));\n      }\n    } else {\n      this.logger.log(LogLevel.Warning, \"No client method with the name '\" + invocationMessage.target + \"' found.\");\n    }\n  };\n\n  HubConnection.prototype.connectionClosed = function (error) {\n    var _this = this;\n\n    var callbacks = this.callbacks;\n    this.callbacks = {};\n    this.connectionState = HubConnectionState.Disconnected; // if handshake is in progress start will be waiting for the handshake promise, so we complete it\n    // if it has already completed this should just noop\n\n    if (this.handshakeRejecter) {\n      this.handshakeRejecter(error);\n    }\n\n    Object.keys(callbacks).forEach(function (key) {\n      var callback = callbacks[key];\n      callback(null, error ? error : new Error(\"Invocation canceled due to connection being closed.\"));\n    });\n    this.cleanupTimeout();\n    this.cleanupPingTimer();\n    this.closedCallbacks.forEach(function (c) {\n      return c.apply(_this, [error]);\n    });\n  };\n\n  HubConnection.prototype.cleanupPingTimer = function () {\n    if (this.pingServerHandle) {\n      clearTimeout(this.pingServerHandle);\n    }\n  };\n\n  HubConnection.prototype.cleanupTimeout = function () {\n    if (this.timeoutHandle) {\n      clearTimeout(this.timeoutHandle);\n    }\n  };\n\n  HubConnection.prototype.createInvocation = function (methodName, args, nonblocking) {\n    if (nonblocking) {\n      return {\n        arguments: args,\n        target: methodName,\n        type: MessageType.Invocation\n      };\n    } else {\n      var id = this.id;\n      this.id++;\n      return {\n        arguments: args,\n        invocationId: id.toString(),\n        target: methodName,\n        type: MessageType.Invocation\n      };\n    }\n  };\n\n  HubConnection.prototype.createStreamInvocation = function (methodName, args) {\n    var id = this.id;\n    this.id++;\n    return {\n      arguments: args,\n      invocationId: id.toString(),\n      target: methodName,\n      type: MessageType.StreamInvocation\n    };\n  };\n\n  HubConnection.prototype.createCancelInvocation = function (id) {\n    return {\n      invocationId: id,\n      type: MessageType.CancelInvocation\n    };\n  };\n\n  return HubConnection;\n}();\n\nexport { HubConnection };","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\n// This will be treated as a bit flag in the future, so we keep it using power-of-two values.\n\n/** Specifies a specific HTTP transport type. */\nexport var HttpTransportType;\n\n(function (HttpTransportType) {\n  /** Specifies no transport preference. */\n  HttpTransportType[HttpTransportType[\"None\"] = 0] = \"None\";\n  /** Specifies the WebSockets transport. */\n\n  HttpTransportType[HttpTransportType[\"WebSockets\"] = 1] = \"WebSockets\";\n  /** Specifies the Server-Sent Events transport. */\n\n  HttpTransportType[HttpTransportType[\"ServerSentEvents\"] = 2] = \"ServerSentEvents\";\n  /** Specifies the Long Polling transport. */\n\n  HttpTransportType[HttpTransportType[\"LongPolling\"] = 4] = \"LongPolling\";\n})(HttpTransportType || (HttpTransportType = {}));\n/** Specifies the transfer format for a connection. */\n\n\nexport var TransferFormat;\n\n(function (TransferFormat) {\n  /** Specifies that only text data will be transmitted over the connection. */\n  TransferFormat[TransferFormat[\"Text\"] = 1] = \"Text\";\n  /** Specifies that binary data will be transmitted over the connection. */\n\n  TransferFormat[TransferFormat[\"Binary\"] = 2] = \"Binary\";\n})(TransferFormat || (TransferFormat = {}));","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\n// Rough polyfill of https://developer.mozilla.org/en-US/docs/Web/API/AbortController\n// We don't actually ever use the API being polyfilled, we always use the polyfill because\n// it's a very new API right now.\n// Not exported from index.\n\n/** @private */\nvar AbortController =\n/** @class */\nfunction () {\n  function AbortController() {\n    this.isAborted = false;\n    this.onabort = null;\n  }\n\n  AbortController.prototype.abort = function () {\n    if (!this.isAborted) {\n      this.isAborted = true;\n\n      if (this.onabort) {\n        this.onabort();\n      }\n    }\n  };\n\n  Object.defineProperty(AbortController.prototype, \"signal\", {\n    get: function get() {\n      return this;\n    },\n    enumerable: true,\n    configurable: true\n  });\n  Object.defineProperty(AbortController.prototype, \"aborted\", {\n    get: function get() {\n      return this.isAborted;\n    },\n    enumerable: true,\n    configurable: true\n  });\n  return AbortController;\n}();\n\nexport { AbortController };","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nvar __awaiter = this && this.__awaiter || function (thisArg, _arguments, P, generator) {\n  return new (P || (P = Promise))(function (resolve, reject) {\n    function fulfilled(value) {\n      try {\n        step(generator.next(value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function rejected(value) {\n      try {\n        step(generator[\"throw\"](value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function step(result) {\n      result.done ? resolve(result.value) : new P(function (resolve) {\n        resolve(result.value);\n      }).then(fulfilled, rejected);\n    }\n\n    step((generator = generator.apply(thisArg, _arguments || [])).next());\n  });\n};\n\nvar __generator = this && this.__generator || function (thisArg, body) {\n  var _ = {\n    label: 0,\n    sent: function sent() {\n      if (t[0] & 1) throw t[1];\n      return t[1];\n    },\n    trys: [],\n    ops: []\n  },\n      f,\n      y,\n      t,\n      g;\n  return g = {\n    next: verb(0),\n    \"throw\": verb(1),\n    \"return\": verb(2)\n  }, typeof Symbol === \"function\" && (g[Symbol.iterator] = function () {\n    return this;\n  }), g;\n\n  function verb(n) {\n    return function (v) {\n      return step([n, v]);\n    };\n  }\n\n  function step(op) {\n    if (f) throw new TypeError(\"Generator is already executing.\");\n\n    while (_) {\n      try {\n        if (f = 1, y && (t = op[0] & 2 ? y[\"return\"] : op[0] ? y[\"throw\"] || ((t = y[\"return\"]) && t.call(y), 0) : y.next) && !(t = t.call(y, op[1])).done) return t;\n        if (y = 0, t) op = [op[0] & 2, t.value];\n\n        switch (op[0]) {\n          case 0:\n          case 1:\n            t = op;\n            break;\n\n          case 4:\n            _.label++;\n            return {\n              value: op[1],\n              done: false\n            };\n\n          case 5:\n            _.label++;\n            y = op[1];\n            op = [0];\n            continue;\n\n          case 7:\n            op = _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n\n          default:\n            if (!(t = _.trys, t = t.length > 0 && t[t.length - 1]) && (op[0] === 6 || op[0] === 2)) {\n              _ = 0;\n              continue;\n            }\n\n            if (op[0] === 3 && (!t || op[1] > t[0] && op[1] < t[3])) {\n              _.label = op[1];\n              break;\n            }\n\n            if (op[0] === 6 && _.label < t[1]) {\n              _.label = t[1];\n              t = op;\n              break;\n            }\n\n            if (t && _.label < t[2]) {\n              _.label = t[2];\n\n              _.ops.push(op);\n\n              break;\n            }\n\n            if (t[2]) _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n        }\n\n        op = body.call(thisArg, _);\n      } catch (e) {\n        op = [6, e];\n        y = 0;\n      } finally {\n        f = t = 0;\n      }\n    }\n\n    if (op[0] & 5) throw op[1];\n    return {\n      value: op[0] ? op[1] : void 0,\n      done: true\n    };\n  }\n};\n\nimport { AbortController } from \"./AbortController\";\nimport { HttpError, TimeoutError } from \"./Errors\";\nimport { LogLevel } from \"./ILogger\";\nimport { TransferFormat } from \"./ITransport\";\nimport { Arg, getDataDetail, sendMessage } from \"./Utils\"; // Not exported from 'index', this type is internal.\n\n/** @private */\n\nvar LongPollingTransport =\n/** @class */\nfunction () {\n  function LongPollingTransport(httpClient, accessTokenFactory, logger, logMessageContent) {\n    this.httpClient = httpClient;\n    this.accessTokenFactory = accessTokenFactory;\n    this.logger = logger;\n    this.pollAbort = new AbortController();\n    this.logMessageContent = logMessageContent;\n    this.running = false;\n    this.onreceive = null;\n    this.onclose = null;\n  }\n\n  Object.defineProperty(LongPollingTransport.prototype, \"pollAborted\", {\n    // This is an internal type, not exported from 'index' so this is really just internal.\n    get: function get() {\n      return this.pollAbort.aborted;\n    },\n    enumerable: true,\n    configurable: true\n  });\n\n  LongPollingTransport.prototype.connect = function (url, transferFormat) {\n    return __awaiter(this, void 0, void 0, function () {\n      var pollOptions, token, pollUrl, response;\n      return __generator(this, function (_a) {\n        switch (_a.label) {\n          case 0:\n            Arg.isRequired(url, \"url\");\n            Arg.isRequired(transferFormat, \"transferFormat\");\n            Arg.isIn(transferFormat, TransferFormat, \"transferFormat\");\n            this.url = url;\n            this.logger.log(LogLevel.Trace, \"(LongPolling transport) Connecting.\"); // Allow binary format on Node and Browsers that support binary content (indicated by the presence of responseType property)\n\n            if (transferFormat === TransferFormat.Binary && typeof XMLHttpRequest !== \"undefined\" && typeof new XMLHttpRequest().responseType !== \"string\") {\n              throw new Error(\"Binary protocols over XmlHttpRequest not implementing advanced features are not supported.\");\n            }\n\n            pollOptions = {\n              abortSignal: this.pollAbort.signal,\n              headers: {},\n              timeout: 100000\n            };\n\n            if (transferFormat === TransferFormat.Binary) {\n              pollOptions.responseType = \"arraybuffer\";\n            }\n\n            return [4\n            /*yield*/\n            , this.getAccessToken()];\n\n          case 1:\n            token = _a.sent();\n            this.updateHeaderToken(pollOptions, token);\n            pollUrl = url + \"&_=\" + Date.now();\n            this.logger.log(LogLevel.Trace, \"(LongPolling transport) polling: \" + pollUrl + \".\");\n            return [4\n            /*yield*/\n            , this.httpClient.get(pollUrl, pollOptions)];\n\n          case 2:\n            response = _a.sent();\n\n            if (response.statusCode !== 200) {\n              this.logger.log(LogLevel.Error, \"(LongPolling transport) Unexpected response code: \" + response.statusCode + \".\"); // Mark running as false so that the poll immediately ends and runs the close logic\n\n              this.closeError = new HttpError(response.statusText || \"\", response.statusCode);\n              this.running = false;\n            } else {\n              this.running = true;\n            }\n\n            this.receiving = this.poll(this.url, pollOptions);\n            return [2\n            /*return*/\n            ];\n        }\n      });\n    });\n  };\n\n  LongPollingTransport.prototype.getAccessToken = function () {\n    return __awaiter(this, void 0, void 0, function () {\n      return __generator(this, function (_a) {\n        switch (_a.label) {\n          case 0:\n            if (!this.accessTokenFactory) return [3\n            /*break*/\n            , 2];\n            return [4\n            /*yield*/\n            , this.accessTokenFactory()];\n\n          case 1:\n            return [2\n            /*return*/\n            , _a.sent()];\n\n          case 2:\n            return [2\n            /*return*/\n            , null];\n        }\n      });\n    });\n  };\n\n  LongPollingTransport.prototype.updateHeaderToken = function (request, token) {\n    if (!request.headers) {\n      request.headers = {};\n    }\n\n    if (token) {\n      // tslint:disable-next-line:no-string-literal\n      request.headers[\"Authorization\"] = \"Bearer \" + token;\n      return;\n    } // tslint:disable-next-line:no-string-literal\n\n\n    if (request.headers[\"Authorization\"]) {\n      // tslint:disable-next-line:no-string-literal\n      delete request.headers[\"Authorization\"];\n    }\n  };\n\n  LongPollingTransport.prototype.poll = function (url, pollOptions) {\n    return __awaiter(this, void 0, void 0, function () {\n      var token, pollUrl, response, e_1;\n      return __generator(this, function (_a) {\n        switch (_a.label) {\n          case 0:\n            _a.trys.push([0,, 8, 9]);\n\n            _a.label = 1;\n\n          case 1:\n            if (!this.running) return [3\n            /*break*/\n            , 7];\n            return [4\n            /*yield*/\n            , this.getAccessToken()];\n\n          case 2:\n            token = _a.sent();\n            this.updateHeaderToken(pollOptions, token);\n            _a.label = 3;\n\n          case 3:\n            _a.trys.push([3, 5,, 6]);\n\n            pollUrl = url + \"&_=\" + Date.now();\n            this.logger.log(LogLevel.Trace, \"(LongPolling transport) polling: \" + pollUrl + \".\");\n            return [4\n            /*yield*/\n            , this.httpClient.get(pollUrl, pollOptions)];\n\n          case 4:\n            response = _a.sent();\n\n            if (response.statusCode === 204) {\n              this.logger.log(LogLevel.Information, \"(LongPolling transport) Poll terminated by server.\");\n              this.running = false;\n            } else if (response.statusCode !== 200) {\n              this.logger.log(LogLevel.Error, \"(LongPolling transport) Unexpected response code: \" + response.statusCode + \".\"); // Unexpected status code\n\n              this.closeError = new HttpError(response.statusText || \"\", response.statusCode);\n              this.running = false;\n            } else {\n              // Process the response\n              if (response.content) {\n                this.logger.log(LogLevel.Trace, \"(LongPolling transport) data received. \" + getDataDetail(response.content, this.logMessageContent) + \".\");\n\n                if (this.onreceive) {\n                  this.onreceive(response.content);\n                }\n              } else {\n                // This is another way timeout manifest.\n                this.logger.log(LogLevel.Trace, \"(LongPolling transport) Poll timed out, reissuing.\");\n              }\n            }\n\n            return [3\n            /*break*/\n            , 6];\n\n          case 5:\n            e_1 = _a.sent();\n\n            if (!this.running) {\n              // Log but disregard errors that occur after stopping\n              this.logger.log(LogLevel.Trace, \"(LongPolling transport) Poll errored after shutdown: \" + e_1.message);\n            } else {\n              if (e_1 instanceof TimeoutError) {\n                // Ignore timeouts and reissue the poll.\n                this.logger.log(LogLevel.Trace, \"(LongPolling transport) Poll timed out, reissuing.\");\n              } else {\n                // Close the connection with the error as the result.\n                this.closeError = e_1;\n                this.running = false;\n              }\n            }\n\n            return [3\n            /*break*/\n            , 6];\n\n          case 6:\n            return [3\n            /*break*/\n            , 1];\n\n          case 7:\n            return [3\n            /*break*/\n            , 9];\n\n          case 8:\n            this.logger.log(LogLevel.Trace, \"(LongPolling transport) Polling complete.\"); // We will reach here with pollAborted==false when the server returned a response causing the transport to stop.\n            // If pollAborted==true then client initiated the stop and the stop method will raise the close event after DELETE is sent.\n\n            if (!this.pollAborted) {\n              this.raiseOnClose();\n            }\n\n            return [7\n            /*endfinally*/\n            ];\n\n          case 9:\n            return [2\n            /*return*/\n            ];\n        }\n      });\n    });\n  };\n\n  LongPollingTransport.prototype.send = function (data) {\n    return __awaiter(this, void 0, void 0, function () {\n      return __generator(this, function (_a) {\n        if (!this.running) {\n          return [2\n          /*return*/\n          , Promise.reject(new Error(\"Cannot send until the transport is connected\"))];\n        }\n\n        return [2\n        /*return*/\n        , sendMessage(this.logger, \"LongPolling\", this.httpClient, this.url, this.accessTokenFactory, data, this.logMessageContent)];\n      });\n    });\n  };\n\n  LongPollingTransport.prototype.stop = function () {\n    return __awaiter(this, void 0, void 0, function () {\n      var deleteOptions, token;\n      return __generator(this, function (_a) {\n        switch (_a.label) {\n          case 0:\n            this.logger.log(LogLevel.Trace, \"(LongPolling transport) Stopping polling.\"); // Tell receiving loop to stop, abort any current request, and then wait for it to finish\n\n            this.running = false;\n            this.pollAbort.abort();\n            _a.label = 1;\n\n          case 1:\n            _a.trys.push([1,, 5, 6]);\n\n            return [4\n            /*yield*/\n            , this.receiving];\n\n          case 2:\n            _a.sent(); // Send DELETE to clean up long polling on the server\n\n\n            this.logger.log(LogLevel.Trace, \"(LongPolling transport) sending DELETE request to \" + this.url + \".\");\n            deleteOptions = {\n              headers: {}\n            };\n            return [4\n            /*yield*/\n            , this.getAccessToken()];\n\n          case 3:\n            token = _a.sent();\n            this.updateHeaderToken(deleteOptions, token);\n            return [4\n            /*yield*/\n            , this.httpClient.delete(this.url, deleteOptions)];\n\n          case 4:\n            _a.sent();\n\n            this.logger.log(LogLevel.Trace, \"(LongPolling transport) DELETE request sent.\");\n            return [3\n            /*break*/\n            , 6];\n\n          case 5:\n            this.logger.log(LogLevel.Trace, \"(LongPolling transport) Stop finished.\"); // Raise close event here instead of in polling\n            // It needs to happen after the DELETE request is sent\n\n            this.raiseOnClose();\n            return [7\n            /*endfinally*/\n            ];\n\n          case 6:\n            return [2\n            /*return*/\n            ];\n        }\n      });\n    });\n  };\n\n  LongPollingTransport.prototype.raiseOnClose = function () {\n    if (this.onclose) {\n      var logMessage = \"(LongPolling transport) Firing onclose event.\";\n\n      if (this.closeError) {\n        logMessage += \" Error: \" + this.closeError;\n      }\n\n      this.logger.log(LogLevel.Trace, logMessage);\n      this.onclose(this.closeError);\n    }\n  };\n\n  return LongPollingTransport;\n}();\n\nexport { LongPollingTransport };","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nvar __awaiter = this && this.__awaiter || function (thisArg, _arguments, P, generator) {\n  return new (P || (P = Promise))(function (resolve, reject) {\n    function fulfilled(value) {\n      try {\n        step(generator.next(value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function rejected(value) {\n      try {\n        step(generator[\"throw\"](value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function step(result) {\n      result.done ? resolve(result.value) : new P(function (resolve) {\n        resolve(result.value);\n      }).then(fulfilled, rejected);\n    }\n\n    step((generator = generator.apply(thisArg, _arguments || [])).next());\n  });\n};\n\nvar __generator = this && this.__generator || function (thisArg, body) {\n  var _ = {\n    label: 0,\n    sent: function sent() {\n      if (t[0] & 1) throw t[1];\n      return t[1];\n    },\n    trys: [],\n    ops: []\n  },\n      f,\n      y,\n      t,\n      g;\n  return g = {\n    next: verb(0),\n    \"throw\": verb(1),\n    \"return\": verb(2)\n  }, typeof Symbol === \"function\" && (g[Symbol.iterator] = function () {\n    return this;\n  }), g;\n\n  function verb(n) {\n    return function (v) {\n      return step([n, v]);\n    };\n  }\n\n  function step(op) {\n    if (f) throw new TypeError(\"Generator is already executing.\");\n\n    while (_) {\n      try {\n        if (f = 1, y && (t = op[0] & 2 ? y[\"return\"] : op[0] ? y[\"throw\"] || ((t = y[\"return\"]) && t.call(y), 0) : y.next) && !(t = t.call(y, op[1])).done) return t;\n        if (y = 0, t) op = [op[0] & 2, t.value];\n\n        switch (op[0]) {\n          case 0:\n          case 1:\n            t = op;\n            break;\n\n          case 4:\n            _.label++;\n            return {\n              value: op[1],\n              done: false\n            };\n\n          case 5:\n            _.label++;\n            y = op[1];\n            op = [0];\n            continue;\n\n          case 7:\n            op = _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n\n          default:\n            if (!(t = _.trys, t = t.length > 0 && t[t.length - 1]) && (op[0] === 6 || op[0] === 2)) {\n              _ = 0;\n              continue;\n            }\n\n            if (op[0] === 3 && (!t || op[1] > t[0] && op[1] < t[3])) {\n              _.label = op[1];\n              break;\n            }\n\n            if (op[0] === 6 && _.label < t[1]) {\n              _.label = t[1];\n              t = op;\n              break;\n            }\n\n            if (t && _.label < t[2]) {\n              _.label = t[2];\n\n              _.ops.push(op);\n\n              break;\n            }\n\n            if (t[2]) _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n        }\n\n        op = body.call(thisArg, _);\n      } catch (e) {\n        op = [6, e];\n        y = 0;\n      } finally {\n        f = t = 0;\n      }\n    }\n\n    if (op[0] & 5) throw op[1];\n    return {\n      value: op[0] ? op[1] : void 0,\n      done: true\n    };\n  }\n};\n\nimport { LogLevel } from \"./ILogger\";\nimport { TransferFormat } from \"./ITransport\";\nimport { Arg, getDataDetail, sendMessage } from \"./Utils\";\n/** @private */\n\nvar ServerSentEventsTransport =\n/** @class */\nfunction () {\n  function ServerSentEventsTransport(httpClient, accessTokenFactory, logger, logMessageContent, eventSourceConstructor) {\n    this.httpClient = httpClient;\n    this.accessTokenFactory = accessTokenFactory;\n    this.logger = logger;\n    this.logMessageContent = logMessageContent;\n    this.eventSourceConstructor = eventSourceConstructor;\n    this.onreceive = null;\n    this.onclose = null;\n  }\n\n  ServerSentEventsTransport.prototype.connect = function (url, transferFormat) {\n    return __awaiter(this, void 0, void 0, function () {\n      var token;\n\n      var _this = this;\n\n      return __generator(this, function (_a) {\n        switch (_a.label) {\n          case 0:\n            Arg.isRequired(url, \"url\");\n            Arg.isRequired(transferFormat, \"transferFormat\");\n            Arg.isIn(transferFormat, TransferFormat, \"transferFormat\");\n            this.logger.log(LogLevel.Trace, \"(SSE transport) Connecting.\"); // set url before accessTokenFactory because this.url is only for send and we set the auth header instead of the query string for send\n\n            this.url = url;\n            if (!this.accessTokenFactory) return [3\n            /*break*/\n            , 2];\n            return [4\n            /*yield*/\n            , this.accessTokenFactory()];\n\n          case 1:\n            token = _a.sent();\n\n            if (token) {\n              url += (url.indexOf(\"?\") < 0 ? \"?\" : \"&\") + (\"access_token=\" + encodeURIComponent(token));\n            }\n\n            _a.label = 2;\n\n          case 2:\n            return [2\n            /*return*/\n            , new Promise(function (resolve, reject) {\n              var opened = false;\n\n              if (transferFormat !== TransferFormat.Text) {\n                reject(new Error(\"The Server-Sent Events transport only supports the 'Text' transfer format\"));\n                return;\n              }\n\n              var eventSource;\n\n              if (typeof window !== \"undefined\") {\n                eventSource = new _this.eventSourceConstructor(url, {\n                  withCredentials: true\n                });\n              } else {\n                // Non-browser passes cookies via the dictionary\n                var cookies = _this.httpClient.getCookieString(url);\n\n                eventSource = new _this.eventSourceConstructor(url, {\n                  withCredentials: true,\n                  headers: {\n                    Cookie: cookies\n                  }\n                });\n              }\n\n              try {\n                eventSource.onmessage = function (e) {\n                  if (_this.onreceive) {\n                    try {\n                      _this.logger.log(LogLevel.Trace, \"(SSE transport) data received. \" + getDataDetail(e.data, _this.logMessageContent) + \".\");\n\n                      _this.onreceive(e.data);\n                    } catch (error) {\n                      _this.close(error);\n\n                      return;\n                    }\n                  }\n                };\n\n                eventSource.onerror = function (e) {\n                  var error = new Error(e.data || \"Error occurred\");\n\n                  if (opened) {\n                    _this.close(error);\n                  } else {\n                    reject(error);\n                  }\n                };\n\n                eventSource.onopen = function () {\n                  _this.logger.log(LogLevel.Information, \"SSE connected to \" + _this.url);\n\n                  _this.eventSource = eventSource;\n                  opened = true;\n                  resolve();\n                };\n              } catch (e) {\n                reject(e);\n                return;\n              }\n            })];\n        }\n      });\n    });\n  };\n\n  ServerSentEventsTransport.prototype.send = function (data) {\n    return __awaiter(this, void 0, void 0, function () {\n      return __generator(this, function (_a) {\n        if (!this.eventSource) {\n          return [2\n          /*return*/\n          , Promise.reject(new Error(\"Cannot send until the transport is connected\"))];\n        }\n\n        return [2\n        /*return*/\n        , sendMessage(this.logger, \"SSE\", this.httpClient, this.url, this.accessTokenFactory, data, this.logMessageContent)];\n      });\n    });\n  };\n\n  ServerSentEventsTransport.prototype.stop = function () {\n    this.close();\n    return Promise.resolve();\n  };\n\n  ServerSentEventsTransport.prototype.close = function (e) {\n    if (this.eventSource) {\n      this.eventSource.close();\n      this.eventSource = undefined;\n\n      if (this.onclose) {\n        this.onclose(e);\n      }\n    }\n  };\n\n  return ServerSentEventsTransport;\n}();\n\nexport { ServerSentEventsTransport };","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nvar __awaiter = this && this.__awaiter || function (thisArg, _arguments, P, generator) {\n  return new (P || (P = Promise))(function (resolve, reject) {\n    function fulfilled(value) {\n      try {\n        step(generator.next(value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function rejected(value) {\n      try {\n        step(generator[\"throw\"](value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function step(result) {\n      result.done ? resolve(result.value) : new P(function (resolve) {\n        resolve(result.value);\n      }).then(fulfilled, rejected);\n    }\n\n    step((generator = generator.apply(thisArg, _arguments || [])).next());\n  });\n};\n\nvar __generator = this && this.__generator || function (thisArg, body) {\n  var _ = {\n    label: 0,\n    sent: function sent() {\n      if (t[0] & 1) throw t[1];\n      return t[1];\n    },\n    trys: [],\n    ops: []\n  },\n      f,\n      y,\n      t,\n      g;\n  return g = {\n    next: verb(0),\n    \"throw\": verb(1),\n    \"return\": verb(2)\n  }, typeof Symbol === \"function\" && (g[Symbol.iterator] = function () {\n    return this;\n  }), g;\n\n  function verb(n) {\n    return function (v) {\n      return step([n, v]);\n    };\n  }\n\n  function step(op) {\n    if (f) throw new TypeError(\"Generator is already executing.\");\n\n    while (_) {\n      try {\n        if (f = 1, y && (t = op[0] & 2 ? y[\"return\"] : op[0] ? y[\"throw\"] || ((t = y[\"return\"]) && t.call(y), 0) : y.next) && !(t = t.call(y, op[1])).done) return t;\n        if (y = 0, t) op = [op[0] & 2, t.value];\n\n        switch (op[0]) {\n          case 0:\n          case 1:\n            t = op;\n            break;\n\n          case 4:\n            _.label++;\n            return {\n              value: op[1],\n              done: false\n            };\n\n          case 5:\n            _.label++;\n            y = op[1];\n            op = [0];\n            continue;\n\n          case 7:\n            op = _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n\n          default:\n            if (!(t = _.trys, t = t.length > 0 && t[t.length - 1]) && (op[0] === 6 || op[0] === 2)) {\n              _ = 0;\n              continue;\n            }\n\n            if (op[0] === 3 && (!t || op[1] > t[0] && op[1] < t[3])) {\n              _.label = op[1];\n              break;\n            }\n\n            if (op[0] === 6 && _.label < t[1]) {\n              _.label = t[1];\n              t = op;\n              break;\n            }\n\n            if (t && _.label < t[2]) {\n              _.label = t[2];\n\n              _.ops.push(op);\n\n              break;\n            }\n\n            if (t[2]) _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n        }\n\n        op = body.call(thisArg, _);\n      } catch (e) {\n        op = [6, e];\n        y = 0;\n      } finally {\n        f = t = 0;\n      }\n    }\n\n    if (op[0] & 5) throw op[1];\n    return {\n      value: op[0] ? op[1] : void 0,\n      done: true\n    };\n  }\n};\n\nimport { LogLevel } from \"./ILogger\";\nimport { TransferFormat } from \"./ITransport\";\nimport { Arg, getDataDetail } from \"./Utils\";\n/** @private */\n\nvar WebSocketTransport =\n/** @class */\nfunction () {\n  function WebSocketTransport(httpClient, accessTokenFactory, logger, logMessageContent, webSocketConstructor) {\n    this.logger = logger;\n    this.accessTokenFactory = accessTokenFactory;\n    this.logMessageContent = logMessageContent;\n    this.webSocketConstructor = webSocketConstructor;\n    this.httpClient = httpClient;\n    this.onreceive = null;\n    this.onclose = null;\n  }\n\n  WebSocketTransport.prototype.connect = function (url, transferFormat) {\n    return __awaiter(this, void 0, void 0, function () {\n      var token;\n\n      var _this = this;\n\n      return __generator(this, function (_a) {\n        switch (_a.label) {\n          case 0:\n            Arg.isRequired(url, \"url\");\n            Arg.isRequired(transferFormat, \"transferFormat\");\n            Arg.isIn(transferFormat, TransferFormat, \"transferFormat\");\n            this.logger.log(LogLevel.Trace, \"(WebSockets transport) Connecting.\");\n            if (!this.accessTokenFactory) return [3\n            /*break*/\n            , 2];\n            return [4\n            /*yield*/\n            , this.accessTokenFactory()];\n\n          case 1:\n            token = _a.sent();\n\n            if (token) {\n              url += (url.indexOf(\"?\") < 0 ? \"?\" : \"&\") + (\"access_token=\" + encodeURIComponent(token));\n            }\n\n            _a.label = 2;\n\n          case 2:\n            return [2\n            /*return*/\n            , new Promise(function (resolve, reject) {\n              url = url.replace(/^http/, \"ws\");\n              var webSocket;\n\n              var cookies = _this.httpClient.getCookieString(url);\n\n              if (typeof window === \"undefined\" && cookies) {\n                // Only pass cookies when in non-browser environments\n                webSocket = new _this.webSocketConstructor(url, undefined, {\n                  headers: {\n                    Cookie: \"\" + cookies\n                  }\n                });\n              }\n\n              if (!webSocket) {\n                // Chrome is not happy with passing 'undefined' as protocol\n                webSocket = new _this.webSocketConstructor(url);\n              }\n\n              if (transferFormat === TransferFormat.Binary) {\n                webSocket.binaryType = \"arraybuffer\";\n              } // tslint:disable-next-line:variable-name\n\n\n              webSocket.onopen = function (_event) {\n                _this.logger.log(LogLevel.Information, \"WebSocket connected to \" + url + \".\");\n\n                _this.webSocket = webSocket;\n                resolve();\n              };\n\n              webSocket.onerror = function (event) {\n                var error = null; // ErrorEvent is a browser only type we need to check if the type exists before using it\n\n                if (typeof ErrorEvent !== \"undefined\" && event instanceof ErrorEvent) {\n                  error = event.error;\n                }\n\n                reject(error);\n              };\n\n              webSocket.onmessage = function (message) {\n                _this.logger.log(LogLevel.Trace, \"(WebSockets transport) data received. \" + getDataDetail(message.data, _this.logMessageContent) + \".\");\n\n                if (_this.onreceive) {\n                  _this.onreceive(message.data);\n                }\n              };\n\n              webSocket.onclose = function (event) {\n                return _this.close(event);\n              };\n            })];\n        }\n      });\n    });\n  };\n\n  WebSocketTransport.prototype.send = function (data) {\n    if (this.webSocket && this.webSocket.readyState === this.webSocketConstructor.OPEN) {\n      this.logger.log(LogLevel.Trace, \"(WebSockets transport) sending data. \" + getDataDetail(data, this.logMessageContent) + \".\");\n      this.webSocket.send(data);\n      return Promise.resolve();\n    }\n\n    return Promise.reject(\"WebSocket is not in the OPEN state\");\n  };\n\n  WebSocketTransport.prototype.stop = function () {\n    if (this.webSocket) {\n      // Clear websocket handlers because we are considering the socket closed now\n      this.webSocket.onclose = function () {};\n\n      this.webSocket.onmessage = function () {};\n\n      this.webSocket.onerror = function () {};\n\n      this.webSocket.close();\n      this.webSocket = undefined; // Manually invoke onclose callback inline so we know the HttpConnection was closed properly before returning\n      // This also solves an issue where websocket.onclose could take 18+ seconds to trigger during network disconnects\n\n      this.close(undefined);\n    }\n\n    return Promise.resolve();\n  };\n\n  WebSocketTransport.prototype.close = function (event) {\n    // webSocket will be null if the transport did not start successfully\n    this.logger.log(LogLevel.Trace, \"(WebSockets transport) socket closed.\");\n\n    if (this.onclose) {\n      if (event && (event.wasClean === false || event.code !== 1000)) {\n        this.onclose(new Error(\"WebSocket closed with status code: \" + event.code + \" (\" + event.reason + \").\"));\n      } else {\n        this.onclose();\n      }\n    }\n  };\n\n  return WebSocketTransport;\n}();\n\nexport { WebSocketTransport };","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nvar __awaiter = this && this.__awaiter || function (thisArg, _arguments, P, generator) {\n  return new (P || (P = Promise))(function (resolve, reject) {\n    function fulfilled(value) {\n      try {\n        step(generator.next(value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function rejected(value) {\n      try {\n        step(generator[\"throw\"](value));\n      } catch (e) {\n        reject(e);\n      }\n    }\n\n    function step(result) {\n      result.done ? resolve(result.value) : new P(function (resolve) {\n        resolve(result.value);\n      }).then(fulfilled, rejected);\n    }\n\n    step((generator = generator.apply(thisArg, _arguments || [])).next());\n  });\n};\n\nvar __generator = this && this.__generator || function (thisArg, body) {\n  var _ = {\n    label: 0,\n    sent: function sent() {\n      if (t[0] & 1) throw t[1];\n      return t[1];\n    },\n    trys: [],\n    ops: []\n  },\n      f,\n      y,\n      t,\n      g;\n  return g = {\n    next: verb(0),\n    \"throw\": verb(1),\n    \"return\": verb(2)\n  }, typeof Symbol === \"function\" && (g[Symbol.iterator] = function () {\n    return this;\n  }), g;\n\n  function verb(n) {\n    return function (v) {\n      return step([n, v]);\n    };\n  }\n\n  function step(op) {\n    if (f) throw new TypeError(\"Generator is already executing.\");\n\n    while (_) {\n      try {\n        if (f = 1, y && (t = op[0] & 2 ? y[\"return\"] : op[0] ? y[\"throw\"] || ((t = y[\"return\"]) && t.call(y), 0) : y.next) && !(t = t.call(y, op[1])).done) return t;\n        if (y = 0, t) op = [op[0] & 2, t.value];\n\n        switch (op[0]) {\n          case 0:\n          case 1:\n            t = op;\n            break;\n\n          case 4:\n            _.label++;\n            return {\n              value: op[1],\n              done: false\n            };\n\n          case 5:\n            _.label++;\n            y = op[1];\n            op = [0];\n            continue;\n\n          case 7:\n            op = _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n\n          default:\n            if (!(t = _.trys, t = t.length > 0 && t[t.length - 1]) && (op[0] === 6 || op[0] === 2)) {\n              _ = 0;\n              continue;\n            }\n\n            if (op[0] === 3 && (!t || op[1] > t[0] && op[1] < t[3])) {\n              _.label = op[1];\n              break;\n            }\n\n            if (op[0] === 6 && _.label < t[1]) {\n              _.label = t[1];\n              t = op;\n              break;\n            }\n\n            if (t && _.label < t[2]) {\n              _.label = t[2];\n\n              _.ops.push(op);\n\n              break;\n            }\n\n            if (t[2]) _.ops.pop();\n\n            _.trys.pop();\n\n            continue;\n        }\n\n        op = body.call(thisArg, _);\n      } catch (e) {\n        op = [6, e];\n        y = 0;\n      } finally {\n        f = t = 0;\n      }\n    }\n\n    if (op[0] & 5) throw op[1];\n    return {\n      value: op[0] ? op[1] : void 0,\n      done: true\n    };\n  }\n};\n\nimport { DefaultHttpClient } from \"./DefaultHttpClient\";\nimport { LogLevel } from \"./ILogger\";\nimport { HttpTransportType, TransferFormat } from \"./ITransport\";\nimport { LongPollingTransport } from \"./LongPollingTransport\";\nimport { ServerSentEventsTransport } from \"./ServerSentEventsTransport\";\nimport { Arg, createLogger } from \"./Utils\";\nimport { WebSocketTransport } from \"./WebSocketTransport\";\nvar MAX_REDIRECTS = 100;\nvar WebSocketModule = null;\nvar EventSourceModule = null;\n\nif (typeof window === \"undefined\" && typeof require !== \"undefined\") {\n  // In order to ignore the dynamic require in webpack builds we need to do this magic\n  // @ts-ignore: TS doesn't know about these names\n  var requireFunc = typeof __webpack_require__ === \"function\" ? __non_webpack_require__ : require;\n  WebSocketModule = requireFunc(\"ws\");\n  EventSourceModule = requireFunc(\"eventsource\");\n}\n/** @private */\n\n\nvar HttpConnection =\n/** @class */\nfunction () {\n  function HttpConnection(url, options) {\n    if (options === void 0) {\n      options = {};\n    }\n\n    this.features = {};\n    Arg.isRequired(url, \"url\");\n    this.logger = createLogger(options.logger);\n    this.baseUrl = this.resolveUrl(url);\n    options = options || {};\n    options.logMessageContent = options.logMessageContent || false;\n    var isNode = typeof window === \"undefined\";\n\n    if (!isNode && typeof WebSocket !== \"undefined\" && !options.WebSocket) {\n      options.WebSocket = WebSocket;\n    } else if (isNode && !options.WebSocket) {\n      if (WebSocketModule) {\n        options.WebSocket = WebSocketModule;\n      }\n    }\n\n    if (!isNode && typeof EventSource !== \"undefined\" && !options.EventSource) {\n      options.EventSource = EventSource;\n    } else if (isNode && !options.EventSource) {\n      if (typeof EventSourceModule !== \"undefined\") {\n        options.EventSource = EventSourceModule;\n      }\n    }\n\n    this.httpClient = options.httpClient || new DefaultHttpClient(this.logger);\n    this.connectionState = 2\n    /* Disconnected */\n    ;\n    this.options = options;\n    this.onreceive = null;\n    this.onclose = null;\n  }\n\n  HttpConnection.prototype.start = function (transferFormat) {\n    transferFormat = transferFormat || TransferFormat.Binary;\n    Arg.isIn(transferFormat, TransferFormat, \"transferFormat\");\n    this.logger.log(LogLevel.Debug, \"Starting connection with transfer format '\" + TransferFormat[transferFormat] + \"'.\");\n\n    if (this.connectionState !== 2\n    /* Disconnected */\n    ) {\n        return Promise.reject(new Error(\"Cannot start a connection that is not in the 'Disconnected' state.\"));\n      }\n\n    this.connectionState = 0\n    /* Connecting */\n    ;\n    this.startPromise = this.startInternal(transferFormat);\n    return this.startPromise;\n  };\n\n  HttpConnection.prototype.send = function (data) {\n    if (this.connectionState !== 1\n    /* Connected */\n    ) {\n        throw new Error(\"Cannot send data if the connection is not in the 'Connected' State.\");\n      } // Transport will not be null if state is connected\n\n\n    return this.transport.send(data);\n  };\n\n  HttpConnection.prototype.stop = function (error) {\n    return __awaiter(this, void 0, void 0, function () {\n      var e_1;\n      return __generator(this, function (_a) {\n        switch (_a.label) {\n          case 0:\n            this.connectionState = 2\n            /* Disconnected */\n            ; // Set error as soon as possible otherwise there is a race between\n            // the transport closing and providing an error and the error from a close message\n            // We would prefer the close message error.\n\n            this.stopError = error;\n            _a.label = 1;\n\n          case 1:\n            _a.trys.push([1, 3,, 4]);\n\n            return [4\n            /*yield*/\n            , this.startPromise];\n\n          case 2:\n            _a.sent();\n\n            return [3\n            /*break*/\n            , 4];\n\n          case 3:\n            e_1 = _a.sent();\n            return [3\n            /*break*/\n            , 4];\n\n          case 4:\n            if (!this.transport) return [3\n            /*break*/\n            , 6];\n            return [4\n            /*yield*/\n            , this.transport.stop()];\n\n          case 5:\n            _a.sent();\n\n            this.transport = undefined;\n            _a.label = 6;\n\n          case 6:\n            return [2\n            /*return*/\n            ];\n        }\n      });\n    });\n  };\n\n  HttpConnection.prototype.startInternal = function (transferFormat) {\n    return __awaiter(this, void 0, void 0, function () {\n      var url, negotiateResponse, redirects, _loop_1, this_1, state_1, e_2;\n\n      var _this = this;\n\n      return __generator(this, function (_a) {\n        switch (_a.label) {\n          case 0:\n            url = this.baseUrl;\n            this.accessTokenFactory = this.options.accessTokenFactory;\n            _a.label = 1;\n\n          case 1:\n            _a.trys.push([1, 12,, 13]);\n\n            if (!this.options.skipNegotiation) return [3\n            /*break*/\n            , 5];\n            if (!(this.options.transport === HttpTransportType.WebSockets)) return [3\n            /*break*/\n            , 3]; // No need to add a connection ID in this case\n\n            this.transport = this.constructTransport(HttpTransportType.WebSockets); // We should just call connect directly in this case.\n            // No fallback or negotiate in this case.\n\n            return [4\n            /*yield*/\n            , this.transport.connect(url, transferFormat)];\n\n          case 2:\n            // We should just call connect directly in this case.\n            // No fallback or negotiate in this case.\n            _a.sent();\n\n            return [3\n            /*break*/\n            , 4];\n\n          case 3:\n            throw Error(\"Negotiation can only be skipped when using the WebSocket transport directly.\");\n\n          case 4:\n            return [3\n            /*break*/\n            , 11];\n\n          case 5:\n            negotiateResponse = null;\n            redirects = 0;\n\n            _loop_1 = function _loop_1() {\n              var accessToken_1;\n              return __generator(this, function (_a) {\n                switch (_a.label) {\n                  case 0:\n                    return [4\n                    /*yield*/\n                    , this_1.getNegotiationResponse(url)];\n\n                  case 1:\n                    negotiateResponse = _a.sent(); // the user tries to stop the connection when it is being started\n\n                    if (this_1.connectionState === 2\n                    /* Disconnected */\n                    ) {\n                        return [2\n                        /*return*/\n                        , {\n                          value: void 0\n                        }];\n                      }\n\n                    if (negotiateResponse.error) {\n                      throw Error(negotiateResponse.error);\n                    }\n\n                    if (negotiateResponse.ProtocolVersion) {\n                      throw Error(\"Detected a connection attempt to an ASP.NET SignalR Server. This client only supports connecting to an ASP.NET Core SignalR Server. See https://aka.ms/signalr-core-differences for details.\");\n                    }\n\n                    if (negotiateResponse.url) {\n                      url = negotiateResponse.url;\n                    }\n\n                    if (negotiateResponse.accessToken) {\n                      accessToken_1 = negotiateResponse.accessToken;\n\n                      this_1.accessTokenFactory = function () {\n                        return accessToken_1;\n                      };\n                    }\n\n                    redirects++;\n                    return [2\n                    /*return*/\n                    ];\n                }\n              });\n            };\n\n            this_1 = this;\n            _a.label = 6;\n\n          case 6:\n            return [5\n            /*yield**/\n            , _loop_1()];\n\n          case 7:\n            state_1 = _a.sent();\n            if (typeof state_1 === \"object\") return [2\n            /*return*/\n            , state_1.value];\n            _a.label = 8;\n\n          case 8:\n            if (negotiateResponse.url && redirects < MAX_REDIRECTS) return [3\n            /*break*/\n            , 6];\n            _a.label = 9;\n\n          case 9:\n            if (redirects === MAX_REDIRECTS && negotiateResponse.url) {\n              throw Error(\"Negotiate redirection limit exceeded.\");\n            }\n\n            return [4\n            /*yield*/\n            , this.createTransport(url, this.options.transport, negotiateResponse, transferFormat)];\n\n          case 10:\n            _a.sent();\n\n            _a.label = 11;\n\n          case 11:\n            if (this.transport instanceof LongPollingTransport) {\n              this.features.inherentKeepAlive = true;\n            }\n\n            this.transport.onreceive = this.onreceive;\n\n            this.transport.onclose = function (e) {\n              return _this.stopConnection(e);\n            }; // only change the state if we were connecting to not overwrite\n            // the state if the connection is already marked as Disconnected\n\n\n            this.changeState(0\n            /* Connecting */\n            , 1\n            /* Connected */\n            );\n            return [3\n            /*break*/\n            , 13];\n\n          case 12:\n            e_2 = _a.sent();\n            this.logger.log(LogLevel.Error, \"Failed to start the connection: \" + e_2);\n            this.connectionState = 2\n            /* Disconnected */\n            ;\n            this.transport = undefined;\n            throw e_2;\n\n          case 13:\n            return [2\n            /*return*/\n            ];\n        }\n      });\n    });\n  };\n\n  HttpConnection.prototype.getNegotiationResponse = function (url) {\n    return __awaiter(this, void 0, void 0, function () {\n      var _a, headers, token, negotiateUrl, response, e_3;\n\n      return __generator(this, function (_b) {\n        switch (_b.label) {\n          case 0:\n            if (!this.accessTokenFactory) return [3\n            /*break*/\n            , 2];\n            return [4\n            /*yield*/\n            , this.accessTokenFactory()];\n\n          case 1:\n            token = _b.sent();\n\n            if (token) {\n              headers = (_a = {}, _a[\"Authorization\"] = \"Bearer \" + token, _a);\n            }\n\n            _b.label = 2;\n\n          case 2:\n            negotiateUrl = this.resolveNegotiateUrl(url);\n            this.logger.log(LogLevel.Debug, \"Sending negotiation request: \" + negotiateUrl + \".\");\n            _b.label = 3;\n\n          case 3:\n            _b.trys.push([3, 5,, 6]);\n\n            return [4\n            /*yield*/\n            , this.httpClient.post(negotiateUrl, {\n              content: \"\",\n              headers: headers\n            })];\n\n          case 4:\n            response = _b.sent();\n\n            if (response.statusCode !== 200) {\n              throw Error(\"Unexpected status code returned from negotiate \" + response.statusCode);\n            }\n\n            return [2\n            /*return*/\n            , JSON.parse(response.content)];\n\n          case 5:\n            e_3 = _b.sent();\n            this.logger.log(LogLevel.Error, \"Failed to complete negotiation with the server: \" + e_3);\n            throw e_3;\n\n          case 6:\n            return [2\n            /*return*/\n            ];\n        }\n      });\n    });\n  };\n\n  HttpConnection.prototype.createConnectUrl = function (url, connectionId) {\n    if (!connectionId) {\n      return url;\n    }\n\n    return url + (url.indexOf(\"?\") === -1 ? \"?\" : \"&\") + (\"id=\" + connectionId);\n  };\n\n  HttpConnection.prototype.createTransport = function (url, requestedTransport, negotiateResponse, requestedTransferFormat) {\n    return __awaiter(this, void 0, void 0, function () {\n      var connectUrl, transports, _i, transports_1, endpoint, transport, ex_1;\n\n      return __generator(this, function (_a) {\n        switch (_a.label) {\n          case 0:\n            connectUrl = this.createConnectUrl(url, negotiateResponse.connectionId);\n            if (!this.isITransport(requestedTransport)) return [3\n            /*break*/\n            , 2];\n            this.logger.log(LogLevel.Debug, \"Connection was provided an instance of ITransport, using that directly.\");\n            this.transport = requestedTransport;\n            return [4\n            /*yield*/\n            , this.transport.connect(connectUrl, requestedTransferFormat)];\n\n          case 1:\n            _a.sent(); // only change the state if we were connecting to not overwrite\n            // the state if the connection is already marked as Disconnected\n\n\n            this.changeState(0\n            /* Connecting */\n            , 1\n            /* Connected */\n            );\n            return [2\n            /*return*/\n            ];\n\n          case 2:\n            transports = negotiateResponse.availableTransports || [];\n            _i = 0, transports_1 = transports;\n            _a.label = 3;\n\n          case 3:\n            if (!(_i < transports_1.length)) return [3\n            /*break*/\n            , 9];\n            endpoint = transports_1[_i];\n            this.connectionState = 0\n            /* Connecting */\n            ;\n            transport = this.resolveTransport(endpoint, requestedTransport, requestedTransferFormat);\n            if (!(typeof transport === \"number\")) return [3\n            /*break*/\n            , 8];\n            this.transport = this.constructTransport(transport);\n            if (!!negotiateResponse.connectionId) return [3\n            /*break*/\n            , 5];\n            return [4\n            /*yield*/\n            , this.getNegotiationResponse(url)];\n\n          case 4:\n            negotiateResponse = _a.sent();\n            connectUrl = this.createConnectUrl(url, negotiateResponse.connectionId);\n            _a.label = 5;\n\n          case 5:\n            _a.trys.push([5, 7,, 8]);\n\n            return [4\n            /*yield*/\n            , this.transport.connect(connectUrl, requestedTransferFormat)];\n\n          case 6:\n            _a.sent();\n\n            this.changeState(0\n            /* Connecting */\n            , 1\n            /* Connected */\n            );\n            return [2\n            /*return*/\n            ];\n\n          case 7:\n            ex_1 = _a.sent();\n            this.logger.log(LogLevel.Error, \"Failed to start the transport '\" + HttpTransportType[transport] + \"': \" + ex_1);\n            this.connectionState = 2\n            /* Disconnected */\n            ;\n            negotiateResponse.connectionId = undefined;\n            return [3\n            /*break*/\n            , 8];\n\n          case 8:\n            _i++;\n            return [3\n            /*break*/\n            , 3];\n\n          case 9:\n            throw new Error(\"Unable to initialize any of the available transports.\");\n        }\n      });\n    });\n  };\n\n  HttpConnection.prototype.constructTransport = function (transport) {\n    switch (transport) {\n      case HttpTransportType.WebSockets:\n        if (!this.options.WebSocket) {\n          throw new Error(\"'WebSocket' is not supported in your environment.\");\n        }\n\n        return new WebSocketTransport(this.httpClient, this.accessTokenFactory, this.logger, this.options.logMessageContent || false, this.options.WebSocket);\n\n      case HttpTransportType.ServerSentEvents:\n        if (!this.options.EventSource) {\n          throw new Error(\"'EventSource' is not supported in your environment.\");\n        }\n\n        return new ServerSentEventsTransport(this.httpClient, this.accessTokenFactory, this.logger, this.options.logMessageContent || false, this.options.EventSource);\n\n      case HttpTransportType.LongPolling:\n        return new LongPollingTransport(this.httpClient, this.accessTokenFactory, 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this.logger.log(LogLevel.Debug, \"Skipping transport '\" + HttpTransportType[transport] + \"' because it is not supported in your environment.'\");\n          } else {\n            this.logger.log(LogLevel.Debug, \"Selecting transport '\" + HttpTransportType[transport] + \"'.\");\n            return transport;\n          }\n        } else {\n          this.logger.log(LogLevel.Debug, \"Skipping transport '\" + HttpTransportType[transport] + \"' because it does not support the requested transfer format '\" + TransferFormat[requestedTransferFormat] + \"'.\");\n        }\n      } else {\n        this.logger.log(LogLevel.Debug, \"Skipping transport '\" + HttpTransportType[transport] + \"' because it was disabled by the client.\");\n      }\n    }\n\n    return null;\n  };\n\n  HttpConnection.prototype.isITransport = function (transport) {\n    return transport && typeof transport === \"object\" && \"connect\" in transport;\n  };\n\n  HttpConnection.prototype.changeState = function (from, 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All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nimport { MessageType } from \"./IHubProtocol\";\nimport { LogLevel } from \"./ILogger\";\nimport { TransferFormat } from \"./ITransport\";\nimport { NullLogger } from \"./Loggers\";\nimport { TextMessageFormat } from \"./TextMessageFormat\";\nvar JSON_HUB_PROTOCOL_NAME = \"json\";\n/** Implements the JSON Hub Protocol. */\n\nvar JsonHubProtocol =\n/** @class */\nfunction () {\n  function JsonHubProtocol() {\n    /** @inheritDoc */\n    this.name = JSON_HUB_PROTOCOL_NAME;\n    /** @inheritDoc */\n\n    this.version = 1;\n    /** @inheritDoc */\n\n    this.transferFormat = TransferFormat.Text;\n  }\n  /** Creates an array of {@link @aspnet/signalr.HubMessage} objects from the specified serialized representation.\r\n   *\r\n   * @param {string} input A string containing the serialized representation.\r\n   * @param {ILogger} logger A logger that will be used to log messages that occur during parsing.\r\n   */\n\n\n  JsonHubProtocol.prototype.parseMessages = function (input, logger) {\n    // The interface does allow \"ArrayBuffer\" to be passed in, but this implementation does not. So let's throw a useful error.\n    if (typeof input !== \"string\") {\n      throw new Error(\"Invalid input for JSON hub protocol. Expected a string.\");\n    }\n\n    if (!input) {\n      return [];\n    }\n\n    if (logger === null) {\n      logger = NullLogger.instance;\n    } // Parse the messages\n\n\n    var messages = TextMessageFormat.parse(input);\n    var hubMessages = [];\n\n    for (var _i = 0, messages_1 = messages; _i < messages_1.length; _i++) {\n      var message = messages_1[_i];\n      var parsedMessage = JSON.parse(message);\n\n      if (typeof parsedMessage.type !== \"number\") {\n        throw new Error(\"Invalid payload.\");\n      }\n\n      switch (parsedMessage.type) {\n        case MessageType.Invocation:\n          this.isInvocationMessage(parsedMessage);\n          break;\n\n        case MessageType.StreamItem:\n          this.isStreamItemMessage(parsedMessage);\n          break;\n\n        case MessageType.Completion:\n          this.isCompletionMessage(parsedMessage);\n          break;\n\n        case MessageType.Ping:\n          // Single value, no need to validate\n          break;\n\n        case MessageType.Close:\n          // All optional values, no need to validate\n          break;\n\n        default:\n          // Future protocol changes can add message types, old clients can ignore them\n          logger.log(LogLevel.Information, \"Unknown message type '\" + parsedMessage.type + \"' ignored.\");\n          continue;\n      }\n\n      hubMessages.push(parsedMessage);\n    }\n\n    return hubMessages;\n  };\n  /** Writes the specified {@link @aspnet/signalr.HubMessage} to a string and returns it.\r\n   *\r\n   * @param {HubMessage} message The message to write.\r\n   * @returns {string} A string containing the serialized representation of the message.\r\n   */\n\n\n  JsonHubProtocol.prototype.writeMessage = function (message) {\n    return TextMessageFormat.write(JSON.stringify(message));\n  };\n\n  JsonHubProtocol.prototype.isInvocationMessage = function (message) {\n    this.assertNotEmptyString(message.target, \"Invalid payload for Invocation message.\");\n\n    if (message.invocationId !== undefined) {\n      this.assertNotEmptyString(message.invocationId, \"Invalid payload for Invocation message.\");\n    }\n  };\n\n  JsonHubProtocol.prototype.isStreamItemMessage = function (message) {\n    this.assertNotEmptyString(message.invocationId, \"Invalid payload for StreamItem message.\");\n\n    if (message.item === undefined) {\n      throw new Error(\"Invalid payload for StreamItem message.\");\n    }\n  };\n\n  JsonHubProtocol.prototype.isCompletionMessage = function (message) {\n    if (message.result && message.error) {\n      throw new Error(\"Invalid payload for Completion message.\");\n    }\n\n    if (!message.result && message.error) {\n      this.assertNotEmptyString(message.error, \"Invalid payload for Completion message.\");\n    }\n\n    this.assertNotEmptyString(message.invocationId, \"Invalid payload for Completion message.\");\n  };\n\n  JsonHubProtocol.prototype.assertNotEmptyString = function (value, errorMessage) {\n    if (typeof value !== \"string\" || value === \"\") {\n      throw new Error(errorMessage);\n    }\n  };\n\n  return JsonHubProtocol;\n}();\n\nexport { JsonHubProtocol };","// Copyright (c) .NET Foundation. All rights reserved.\n// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.\nimport { HttpConnection } from \"./HttpConnection\";\nimport { HubConnection } from \"./HubConnection\";\nimport { JsonHubProtocol } from \"./JsonHubProtocol\";\nimport { NullLogger } from \"./Loggers\";\nimport { Arg, ConsoleLogger } from \"./Utils\";\n/** A builder for configuring {@link @aspnet/signalr.HubConnection} instances. */\n\nvar HubConnectionBuilder =\n/** @class */\nfunction () {\n  function HubConnectionBuilder() {}\n\n  HubConnectionBuilder.prototype.configureLogging = function (logging) {\n    Arg.isRequired(logging, \"logging\");\n\n    if (isLogger(logging)) {\n      this.logger = logging;\n    } else {\n      this.logger = new ConsoleLogger(logging);\n    }\n\n    return this;\n  };\n\n  HubConnectionBuilder.prototype.withUrl = function (url, transportTypeOrOptions) {\n    Arg.isRequired(url, \"url\");\n    this.url = url; // Flow-typing knows where it's at. Since HttpTransportType is a number and IHttpConnectionOptions is guaranteed\n    // to be an object, we know (as does TypeScript) this comparison is all we need to figure out which overload was called.\n\n    if (typeof transportTypeOrOptions === \"object\") {\n      this.httpConnectionOptions = transportTypeOrOptions;\n    } else {\n      this.httpConnectionOptions = {\n        transport: transportTypeOrOptions\n      };\n    }\n\n    return this;\n  };\n  /** Configures the {@link @aspnet/signalr.HubConnection} to use the specified Hub Protocol.\r\n   *\r\n   * @param {IHubProtocol} protocol The {@link @aspnet/signalr.IHubProtocol} implementation to use.\r\n   */\n\n\n  HubConnectionBuilder.prototype.withHubProtocol = function (protocol) {\n    Arg.isRequired(protocol, \"protocol\");\n    this.protocol = protocol;\n    return this;\n  };\n  /** Creates a {@link @aspnet/signalr.HubConnection} from the configuration options specified in this builder.\r\n   *\r\n   * @returns {HubConnection} The configured {@link @aspnet/signalr.HubConnection}.\r\n   */\n\n\n  HubConnectionBuilder.prototype.build = function () {\n    // If httpConnectionOptions has a logger, use it. 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(Jc(), Dc = b, Ec = c, Dc.attachEvent(\"onpropertychange\", Kc)) : \"blur\" === a && Jc();\n}\n\nfunction Mc(a) {\n  if (\"selectionchange\" === a || \"keyup\" === a || \"keydown\" === a) return Gc(Ec);\n}\n\nfunction Nc(a, b) {\n  if (\"click\" === a) return Gc(b);\n}\n\nfunction Oc(a, b) {\n  if (\"input\" === a || \"change\" === a) return Gc(b);\n}\n\nvar Pc = {\n  eventTypes: Bc,\n  _isInputEventSupported: Ic,\n  extractEvents: function extractEvents(a, b, c, d) {\n    var e = b ? Ja(b) : window,\n        f = void 0,\n        g = void 0,\n        h = e.nodeName && e.nodeName.toLowerCase();\n    \"select\" === h || \"input\" === h && \"file\" === e.type ? f = Hc : Mb(e) ? Ic ? f = Oc : (f = Mc, g = Lc) : (h = e.nodeName) && \"input\" === h.toLowerCase() && (\"checkbox\" === e.type || \"radio\" === e.type) && (f = Nc);\n    if (f && (f = f(a, b))) return Cc(f, c, d);\n    g && g(a, e, b);\n    \"blur\" === a && (a = e._wrapperState) && a.controlled && \"number\" === e.type && zc(e, \"number\", e.value);\n  }\n},\n    Qc = y.extend({\n  view: null,\n  detail: null\n}),\n    Rc = {\n  Alt: \"altKey\",\n  Control: \"ctrlKey\",\n  Meta: \"metaKey\",\n  Shift: \"shiftKey\"\n};\n\nfunction Sc(a) {\n  var b = this.nativeEvent;\n  return b.getModifierState ? b.getModifierState(a) : (a = Rc[a]) ? !!b[a] : !1;\n}\n\nfunction Tc() {\n  return Sc;\n}\n\nvar Uc = 0,\n    Vc = 0,\n    Wc = !1,\n    Xc = !1,\n    Yc = Qc.extend({\n  screenX: null,\n  screenY: null,\n  clientX: null,\n  clientY: null,\n  pageX: null,\n  pageY: null,\n  ctrlKey: null,\n  shiftKey: null,\n  altKey: null,\n  metaKey: null,\n  getModifierState: Tc,\n  button: null,\n  buttons: null,\n  relatedTarget: function relatedTarget(a) {\n    return a.relatedTarget || (a.fromElement === a.srcElement ? a.toElement : a.fromElement);\n  },\n  movementX: function movementX(a) {\n    if (\"movementX\" in a) return a.movementX;\n    var b = Uc;\n    Uc = a.screenX;\n    return Wc ? \"mousemove\" === a.type ? a.screenX - b : 0 : (Wc = !0, 0);\n  },\n  movementY: function movementY(a) {\n    if (\"movementY\" in a) return a.movementY;\n    var b = Vc;\n    Vc = a.screenY;\n    return Xc ? \"mousemove\" === a.type ? a.screenY - b : 0 : (Xc = !0, 0);\n  }\n}),\n    Zc = Yc.extend({\n  pointerId: null,\n  width: null,\n  height: null,\n  pressure: null,\n  tangentialPressure: null,\n  tiltX: null,\n  tiltY: null,\n  twist: null,\n  pointerType: null,\n  isPrimary: null\n}),\n    $c = {\n  mouseEnter: {\n    registrationName: \"onMouseEnter\",\n    dependencies: [\"mouseout\", \"mouseover\"]\n  },\n  mouseLeave: {\n    registrationName: \"onMouseLeave\",\n    dependencies: [\"mouseout\", \"mouseover\"]\n  },\n  pointerEnter: {\n    registrationName: \"onPointerEnter\",\n    dependencies: [\"pointerout\", \"pointerover\"]\n  },\n  pointerLeave: {\n    registrationName: \"onPointerLeave\",\n    dependencies: [\"pointerout\", \"pointerover\"]\n  }\n},\n    ad = {\n  eventTypes: $c,\n  extractEvents: function extractEvents(a, b, c, d) {\n    var e = \"mouseover\" === a || \"pointerover\" === a,\n        f = \"mouseout\" === a || \"pointerout\" === a;\n    if (e && (c.relatedTarget || c.fromElement) || !f && !e) return null;\n    e = d.window === d ? d : (e = d.ownerDocument) ? e.defaultView || e.parentWindow : window;\n    f ? (f = b, b = (b = c.relatedTarget || c.toElement) ? Ha(b) : null) : f = null;\n    if (f === b) return null;\n    var g = void 0,\n        h = void 0,\n        l = void 0,\n        k = void 0;\n    if (\"mouseout\" === a || \"mouseover\" === a) g = Yc, h = $c.mouseLeave, l = $c.mouseEnter, k = \"mouse\";else if (\"pointerout\" === a || \"pointerover\" === a) g = Zc, h = $c.pointerLeave, l = $c.pointerEnter, k = \"pointer\";\n    var m = null == f ? e : Ja(f);\n    e = null == b ? e : Ja(b);\n    a = g.getPooled(h, f, c, d);\n    a.type = k + \"leave\";\n    a.target = m;\n    a.relatedTarget = e;\n    c = g.getPooled(l, b, c, d);\n    c.type = k + \"enter\";\n    c.target = e;\n    c.relatedTarget = m;\n    d = b;\n    if (f && d) a: {\n      b = f;\n      e = d;\n      k = 0;\n\n      for (g = b; g; g = La(g)) {\n        k++;\n      }\n\n      g = 0;\n\n      for (l = e; l; l = La(l)) {\n        g++;\n      }\n\n      for (; 0 < k - g;) {\n        b = La(b), k--;\n      }\n\n      for (; 0 < g - k;) {\n        e = La(e), g--;\n      }\n\n      for (; k--;) {\n        if (b === e || b === e.alternate) break a;\n        b = La(b);\n        e = La(e);\n      }\n\n      b = null;\n    } else b = null;\n    e = b;\n\n    for (b = []; f && f !== e;) {\n      k = f.alternate;\n      if (null !== k && k === e) break;\n      b.push(f);\n      f = La(f);\n    }\n\n    for (f = []; d && d !== e;) {\n      k = d.alternate;\n      if (null !== k && k === e) break;\n      f.push(d);\n      d = La(d);\n    }\n\n    for (d = 0; d < b.length; d++) {\n      Oa(b[d], \"bubbled\", a);\n    }\n\n    for (d = f.length; 0 < d--;) {\n      Oa(f[d], \"captured\", c);\n    }\n\n    return [a, c];\n  }\n};\n\nfunction bd(a, b) {\n  return a === b && (0 !== a || 1 / a === 1 / b) || a !== a && b !== b;\n}\n\nvar cd = Object.prototype.hasOwnProperty;\n\nfunction dd(a, b) {\n  if (bd(a, b)) return !0;\n  if (\"object\" !== typeof a || null === a || \"object\" !== typeof b || null === b) return !1;\n  var c = Object.keys(a),\n      d = Object.keys(b);\n  if (c.length !== d.length) return !1;\n\n  for (d = 0; d < c.length; d++) {\n    if (!cd.call(b, c[d]) || !bd(a[c[d]], b[c[d]])) return !1;\n  }\n\n  return !0;\n}\n\nfunction ed(a) {\n  var b = a;\n  if (a.alternate) for (; b.return;) {\n    b = b.return;\n  } else {\n    if (0 !== (b.effectTag & 2)) return 1;\n\n    for (; b.return;) {\n      if (b = b.return, 0 !== (b.effectTag & 2)) return 1;\n    }\n  }\n  return 3 === b.tag ? 2 : 3;\n}\n\nfunction fd(a) {\n  2 !== ed(a) ? x(\"188\") : void 0;\n}\n\nfunction gd(a) {\n  var b = a.alternate;\n  if (!b) return b = ed(a), 3 === b ? x(\"188\") : void 0, 1 === b ? null : a;\n\n  for (var c = a, d = b;;) {\n    var e = c.return,\n        f = e ? e.alternate : null;\n    if (!e || !f) break;\n\n    if (e.child === f.child) {\n      for (var g = e.child; g;) {\n        if (g === c) return fd(e), a;\n        if (g === d) return fd(e), b;\n        g = g.sibling;\n      }\n\n      x(\"188\");\n    }\n\n    if (c.return !== d.return) c = e, d = f;else {\n      g = !1;\n\n      for (var h = e.child; h;) {\n        if (h === c) {\n          g = !0;\n          c = e;\n          d = f;\n          break;\n        }\n\n        if (h === d) {\n          g = !0;\n          d = e;\n          c = f;\n          break;\n        }\n\n        h = h.sibling;\n      }\n\n      if (!g) {\n        for (h = f.child; h;) {\n          if (h === c) {\n            g = !0;\n            c = f;\n            d = e;\n            break;\n          }\n\n          if (h === d) {\n            g = !0;\n            d = f;\n            c = e;\n            break;\n          }\n\n          h = h.sibling;\n        }\n\n        g ? void 0 : x(\"189\");\n      }\n    }\n    c.alternate !== d ? x(\"190\") : void 0;\n  }\n\n  3 !== c.tag ? x(\"188\") : void 0;\n  return c.stateNode.current === c ? a : b;\n}\n\nfunction hd(a) {\n  a = gd(a);\n  if (!a) return null;\n\n  for (var b = a;;) {\n    if (5 === b.tag || 6 === b.tag) return b;\n    if (b.child) b.child.return = b, b = b.child;else {\n      if (b === a) break;\n\n      for (; !b.sibling;) {\n        if (!b.return || b.return === a) return null;\n        b = b.return;\n      }\n\n      b.sibling.return = b.return;\n      b = b.sibling;\n    }\n  }\n\n  return null;\n}\n\nvar id = y.extend({\n  animationName: null,\n  elapsedTime: null,\n  pseudoElement: null\n}),\n    jd = y.extend({\n  clipboardData: function clipboardData(a) {\n    return \"clipboardData\" in a ? a.clipboardData : window.clipboardData;\n  }\n}),\n    kd = Qc.extend({\n  relatedTarget: null\n});\n\nfunction ld(a) {\n  var b = a.keyCode;\n  \"charCode\" in a ? (a = a.charCode, 0 === a && 13 === b && (a = 13)) : a = b;\n  10 === a && (a = 13);\n  return 32 <= a || 13 === a ? a : 0;\n}\n\nvar md = {\n  Esc: \"Escape\",\n  Spacebar: \" \",\n  Left: \"ArrowLeft\",\n  Up: \"ArrowUp\",\n  Right: \"ArrowRight\",\n  Down: \"ArrowDown\",\n  Del: \"Delete\",\n  Win: \"OS\",\n  Menu: \"ContextMenu\",\n  Apps: \"ContextMenu\",\n  Scroll: \"ScrollLock\",\n  MozPrintableKey: \"Unidentified\"\n},\n    nd = {\n  8: \"Backspace\",\n  9: \"Tab\",\n  12: \"Clear\",\n  13: \"Enter\",\n  16: \"Shift\",\n  17: \"Control\",\n  18: \"Alt\",\n  19: \"Pause\",\n  20: \"CapsLock\",\n  27: \"Escape\",\n  32: \" \",\n  33: \"PageUp\",\n  34: \"PageDown\",\n  35: \"End\",\n  36: \"Home\",\n  37: \"ArrowLeft\",\n  38: \"ArrowUp\",\n  39: \"ArrowRight\",\n  40: \"ArrowDown\",\n  45: \"Insert\",\n  46: \"Delete\",\n  112: \"F1\",\n  113: \"F2\",\n  114: \"F3\",\n  115: \"F4\",\n  116: \"F5\",\n  117: \"F6\",\n  118: \"F7\",\n  119: \"F8\",\n  120: \"F9\",\n  121: \"F10\",\n  122: \"F11\",\n  123: \"F12\",\n  144: \"NumLock\",\n  145: \"ScrollLock\",\n  224: \"Meta\"\n},\n    od = Qc.extend({\n  key: function key(a) {\n    if (a.key) {\n      var b = md[a.key] || a.key;\n      if (\"Unidentified\" !== b) return b;\n    }\n\n    return \"keypress\" === a.type ? (a = ld(a), 13 === a ? \"Enter\" : String.fromCharCode(a)) : \"keydown\" === a.type || \"keyup\" === a.type ? nd[a.keyCode] || \"Unidentified\" : \"\";\n  },\n  location: null,\n  ctrlKey: null,\n  shiftKey: null,\n  altKey: null,\n  metaKey: null,\n  repeat: null,\n  locale: null,\n  getModifierState: Tc,\n  charCode: function charCode(a) {\n    return \"keypress\" === a.type ? ld(a) : 0;\n  },\n  keyCode: function keyCode(a) {\n    return \"keydown\" === a.type || \"keyup\" === a.type ? a.keyCode : 0;\n  },\n  which: function which(a) {\n    return \"keypress\" === a.type ? ld(a) : \"keydown\" === a.type || \"keyup\" === a.type ? a.keyCode : 0;\n  }\n}),\n    pd = Yc.extend({\n  dataTransfer: null\n}),\n    qd = Qc.extend({\n  touches: null,\n  targetTouches: null,\n  changedTouches: null,\n  altKey: null,\n  metaKey: null,\n  ctrlKey: null,\n  shiftKey: null,\n  getModifierState: Tc\n}),\n    rd = y.extend({\n  propertyName: null,\n  elapsedTime: null,\n  pseudoElement: null\n}),\n    sd = Yc.extend({\n  deltaX: function deltaX(a) {\n    return \"deltaX\" in a ? a.deltaX : \"wheelDeltaX\" in a ? -a.wheelDeltaX : 0;\n  },\n  deltaY: function deltaY(a) {\n    return \"deltaY\" in a ? a.deltaY : \"wheelDeltaY\" in a ? -a.wheelDeltaY : \"wheelDelta\" in a ? -a.wheelDelta : 0;\n  },\n  deltaZ: null,\n  deltaMode: null\n}),\n    td = [[\"abort\", \"abort\"], [Xa, \"animationEnd\"], [Ya, \"animationIteration\"], [Za, \"animationStart\"], [\"canplay\", \"canPlay\"], [\"canplaythrough\", \"canPlayThrough\"], [\"drag\", \"drag\"], [\"dragenter\", \"dragEnter\"], [\"dragexit\", \"dragExit\"], [\"dragleave\", \"dragLeave\"], [\"dragover\", \"dragOver\"], [\"durationchange\", \"durationChange\"], [\"emptied\", \"emptied\"], [\"encrypted\", \"encrypted\"], [\"ended\", \"ended\"], [\"error\", \"error\"], [\"gotpointercapture\", \"gotPointerCapture\"], [\"load\", \"load\"], [\"loadeddata\", \"loadedData\"], [\"loadedmetadata\", \"loadedMetadata\"], [\"loadstart\", \"loadStart\"], [\"lostpointercapture\", \"lostPointerCapture\"], [\"mousemove\", \"mouseMove\"], [\"mouseout\", \"mouseOut\"], [\"mouseover\", \"mouseOver\"], [\"playing\", \"playing\"], [\"pointermove\", \"pointerMove\"], [\"pointerout\", \"pointerOut\"], [\"pointerover\", \"pointerOver\"], [\"progress\", \"progress\"], [\"scroll\", \"scroll\"], [\"seeking\", \"seeking\"], [\"stalled\", \"stalled\"], [\"suspend\", \"suspend\"], [\"timeupdate\", \"timeUpdate\"], [\"toggle\", \"toggle\"], [\"touchmove\", \"touchMove\"], [$a, \"transitionEnd\"], [\"waiting\", \"waiting\"], [\"wheel\", \"wheel\"]],\n    ud = {},\n    vd = {};\n\nfunction wd(a, b) {\n  var c = a[0];\n  a = a[1];\n  var d = \"on\" + (a[0].toUpperCase() + a.slice(1));\n  b = {\n    phasedRegistrationNames: {\n      bubbled: d,\n      captured: d + \"Capture\"\n    },\n    dependencies: [c],\n    isInteractive: b\n  };\n  ud[a] = b;\n  vd[c] = b;\n}\n\n[[\"blur\", \"blur\"], [\"cancel\", \"cancel\"], [\"click\", \"click\"], [\"close\", \"close\"], [\"contextmenu\", \"contextMenu\"], [\"copy\", \"copy\"], [\"cut\", \"cut\"], [\"auxclick\", \"auxClick\"], [\"dblclick\", \"doubleClick\"], [\"dragend\", \"dragEnd\"], [\"dragstart\", \"dragStart\"], [\"drop\", \"drop\"], [\"focus\", \"focus\"], [\"input\", \"input\"], [\"invalid\", \"invalid\"], [\"keydown\", \"keyDown\"], [\"keypress\", \"keyPress\"], [\"keyup\", \"keyUp\"], [\"mousedown\", \"mouseDown\"], [\"mouseup\", \"mouseUp\"], [\"paste\", \"paste\"], [\"pause\", \"pause\"], [\"play\", \"play\"], [\"pointercancel\", \"pointerCancel\"], [\"pointerdown\", \"pointerDown\"], [\"pointerup\", \"pointerUp\"], [\"ratechange\", \"rateChange\"], [\"reset\", \"reset\"], [\"seeked\", \"seeked\"], [\"submit\", \"submit\"], [\"touchcancel\", \"touchCancel\"], [\"touchend\", \"touchEnd\"], [\"touchstart\", \"touchStart\"], [\"volumechange\", \"volumeChange\"]].forEach(function (a) {\n  wd(a, !0);\n});\ntd.forEach(function (a) {\n  wd(a, !1);\n});\nvar xd = {\n  eventTypes: ud,\n  isInteractiveTopLevelEventType: function isInteractiveTopLevelEventType(a) {\n    a = vd[a];\n    return void 0 !== a && !0 === a.isInteractive;\n  },\n  extractEvents: function extractEvents(a, b, c, d) {\n    var e = vd[a];\n    if (!e) return null;\n\n    switch (a) {\n      case \"keypress\":\n        if (0 === ld(c)) return null;\n\n      case \"keydown\":\n      case \"keyup\":\n        a = od;\n        break;\n\n      case \"blur\":\n      case \"focus\":\n        a = kd;\n        break;\n\n      case \"click\":\n        if (2 === c.button) return null;\n\n      case \"auxclick\":\n      case \"dblclick\":\n      case \"mousedown\":\n      case \"mousemove\":\n      case \"mouseup\":\n      case \"mouseout\":\n      case \"mouseover\":\n      case \"contextmenu\":\n        a = Yc;\n        break;\n\n      case \"drag\":\n      case \"dragend\":\n      case \"dragenter\":\n      case \"dragexit\":\n      case \"dragleave\":\n      case \"dragover\":\n      case \"dragstart\":\n      case \"drop\":\n        a = pd;\n        break;\n\n      case \"touchcancel\":\n      case \"touchend\":\n      case \"touchmove\":\n      case \"touchstart\":\n        a = qd;\n        break;\n\n      case Xa:\n      case Ya:\n      case Za:\n        a = id;\n        break;\n\n      case $a:\n        a = rd;\n        break;\n\n      case \"scroll\":\n        a = Qc;\n        break;\n\n      case \"wheel\":\n        a = sd;\n        break;\n\n      case \"copy\":\n      case \"cut\":\n      case \"paste\":\n        a = jd;\n        break;\n\n      case \"gotpointercapture\":\n      case \"lostpointercapture\":\n      case \"pointercancel\":\n      case \"pointerdown\":\n      case \"pointermove\":\n      case \"pointerout\":\n      case \"pointerover\":\n      case \"pointerup\":\n        a = Zc;\n        break;\n\n      default:\n        a = y;\n    }\n\n    b = a.getPooled(e, b, c, d);\n    Qa(b);\n    return b;\n  }\n},\n    yd = xd.isInteractiveTopLevelEventType,\n    zd = [];\n\nfunction Ad(a) {\n  var b = a.targetInst,\n      c = b;\n\n  do {\n    if (!c) {\n      a.ancestors.push(c);\n      break;\n    }\n\n    var d;\n\n    for (d = c; d.return;) {\n      d = d.return;\n    }\n\n    d = 3 !== d.tag ? null : d.stateNode.containerInfo;\n    if (!d) break;\n    a.ancestors.push(c);\n    c = Ha(d);\n  } while (c);\n\n  for (c = 0; c < a.ancestors.length; c++) {\n    b = a.ancestors[c];\n    var e = Nb(a.nativeEvent);\n    d = a.topLevelType;\n\n    for (var f = a.nativeEvent, g = null, h = 0; h < oa.length; h++) {\n      var l = oa[h];\n      l && (l = l.extractEvents(d, b, f, e)) && (g = xa(g, l));\n    }\n\n    Da(g);\n  }\n}\n\nvar Bd = !0;\n\nfunction E(a, b) {\n  if (!b) return null;\n  var c = (yd(a) ? Cd : Dd).bind(null, a);\n  b.addEventListener(a, c, !1);\n}\n\nfunction Ed(a, b) {\n  if (!b) return null;\n  var c = (yd(a) ? Cd : Dd).bind(null, a);\n  b.addEventListener(a, c, !0);\n}\n\nfunction Cd(a, b) {\n  Hb(Dd, a, b);\n}\n\nfunction Dd(a, b) {\n  if (Bd) {\n    var c = Nb(b);\n    c = Ha(c);\n    null === c || \"number\" !== typeof c.tag || 2 === ed(c) || (c = null);\n\n    if (zd.length) {\n      var d = zd.pop();\n      d.topLevelType = a;\n      d.nativeEvent = b;\n      d.targetInst = c;\n      a = d;\n    } else a = {\n      topLevelType: a,\n      nativeEvent: b,\n      targetInst: c,\n      ancestors: []\n    };\n\n    try {\n      Kb(Ad, a);\n    } finally {\n      a.topLevelType = null, a.nativeEvent = null, a.targetInst = null, a.ancestors.length = 0, 10 > zd.length && zd.push(a);\n    }\n  }\n}\n\nvar Fd = {},\n    Gd = 0,\n    Hd = \"_reactListenersID\" + (\"\" + Math.random()).slice(2);\n\nfunction Id(a) {\n  Object.prototype.hasOwnProperty.call(a, Hd) || (a[Hd] = Gd++, Fd[a[Hd]] = {});\n  return Fd[a[Hd]];\n}\n\nfunction Jd(a) {\n  a = a || (\"undefined\" !== typeof document ? document : void 0);\n  if (\"undefined\" === typeof a) return null;\n\n  try {\n    return a.activeElement || a.body;\n  } catch (b) {\n    return a.body;\n  }\n}\n\nfunction Kd(a) {\n  for (; a && a.firstChild;) {\n    a = a.firstChild;\n  }\n\n  return a;\n}\n\nfunction Ld(a, b) {\n  var c = Kd(a);\n  a = 0;\n\n  for (var d; c;) {\n    if (3 === c.nodeType) {\n      d = a + c.textContent.length;\n      if (a <= b && d >= b) return {\n        node: c,\n        offset: b - a\n      };\n      a = d;\n    }\n\n    a: {\n      for (; c;) {\n        if (c.nextSibling) {\n          c = c.nextSibling;\n          break a;\n        }\n\n        c = c.parentNode;\n      }\n\n      c = void 0;\n    }\n\n    c = Kd(c);\n  }\n}\n\nfunction Md(a, b) {\n  return a && b ? a === b ? !0 : a && 3 === a.nodeType ? !1 : b && 3 === b.nodeType ? Md(a, b.parentNode) : \"contains\" in a ? a.contains(b) : a.compareDocumentPosition ? !!(a.compareDocumentPosition(b) & 16) : !1 : !1;\n}\n\nfunction Nd() {\n  for (var a = window, b = Jd(); b instanceof a.HTMLIFrameElement;) {\n    try {\n      a = b.contentDocument.defaultView;\n    } catch (c) {\n      break;\n    }\n\n    b = Jd(a.document);\n  }\n\n  return b;\n}\n\nfunction Od(a) {\n  var b = a && a.nodeName && a.nodeName.toLowerCase();\n  return b && (\"input\" === b && (\"text\" === a.type || \"search\" === a.type || \"tel\" === a.type || \"url\" === a.type || \"password\" === a.type) || \"textarea\" === b || \"true\" === a.contentEditable);\n}\n\nfunction Pd() {\n  var a = Nd();\n\n  if (Od(a)) {\n    if (\"selectionStart\" in a) var b = {\n      start: a.selectionStart,\n      end: a.selectionEnd\n    };else a: {\n      b = (b = a.ownerDocument) && b.defaultView || window;\n      var c = b.getSelection && b.getSelection();\n\n      if (c && 0 !== c.rangeCount) {\n        b = c.anchorNode;\n        var d = c.anchorOffset,\n            e = c.focusNode;\n        c = c.focusOffset;\n\n        try {\n          b.nodeType, e.nodeType;\n        } catch (A) {\n          b = null;\n          break a;\n        }\n\n        var f = 0,\n            g = -1,\n            h = -1,\n            l = 0,\n            k = 0,\n            m = a,\n            p = null;\n\n        b: for (;;) {\n          for (var t;;) {\n            m !== b || 0 !== d && 3 !== m.nodeType || (g = f + d);\n            m !== e || 0 !== c && 3 !== m.nodeType || (h = f + c);\n            3 === m.nodeType && (f += m.nodeValue.length);\n            if (null === (t = m.firstChild)) break;\n            p = m;\n            m = t;\n          }\n\n          for (;;) {\n            if (m === a) break b;\n            p === b && ++l === d && (g = f);\n            p === e && ++k === c && (h = f);\n            if (null !== (t = m.nextSibling)) break;\n            m = p;\n            p = m.parentNode;\n          }\n\n          m = t;\n        }\n\n        b = -1 === g || -1 === h ? null : {\n          start: g,\n          end: h\n        };\n      } else b = null;\n    }\n    b = b || {\n      start: 0,\n      end: 0\n    };\n  } else b = null;\n\n  return {\n    focusedElem: a,\n    selectionRange: b\n  };\n}\n\nfunction Qd(a) {\n  var b = Nd(),\n      c = a.focusedElem,\n      d = a.selectionRange;\n\n  if (b !== c && c && c.ownerDocument && Md(c.ownerDocument.documentElement, c)) {\n    if (null !== d && Od(c)) if (b = d.start, a = d.end, void 0 === a && (a = b), \"selectionStart\" in c) c.selectionStart = b, c.selectionEnd = Math.min(a, c.value.length);else if (a = (b = c.ownerDocument || document) && b.defaultView || window, a.getSelection) {\n      a = a.getSelection();\n      var e = c.textContent.length,\n          f = Math.min(d.start, e);\n      d = void 0 === d.end ? f : Math.min(d.end, e);\n      !a.extend && f > d && (e = d, d = f, f = e);\n      e = Ld(c, f);\n      var g = Ld(c, d);\n      e && g && (1 !== a.rangeCount || a.anchorNode !== e.node || a.anchorOffset !== e.offset || a.focusNode !== g.node || a.focusOffset !== g.offset) && (b = b.createRange(), b.setStart(e.node, e.offset), a.removeAllRanges(), f > d ? 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(d = Ze(f.props.children, a.mode, h, f.key), d.return = a, a = d) : (h = Ye(f.type, f.key, f.props, null, a.mode, h), h.ref = Af(a, d, f), h.return = a, a = h);\n        }\n\n        return g(a);\n\n      case Wb:\n        a: {\n          for (k = f.key; null !== d;) {\n            if (d.key === k) {\n              if (4 === d.tag && d.stateNode.containerInfo === f.containerInfo && d.stateNode.implementation === f.implementation) {\n                c(a, d.sibling);\n                d = e(d, f.children || [], h);\n                d.return = a;\n                a = d;\n                break a;\n              } else {\n                c(a, d);\n                break;\n              }\n            } else b(a, d);\n            d = d.sibling;\n          }\n\n          d = bf(f, a.mode, h);\n          d.return = a;\n          a = d;\n        }\n\n        return g(a);\n    }\n    if (\"string\" === typeof f || \"number\" === typeof f) return f = \"\" + f, null !== d && 6 === d.tag ? (c(a, d.sibling), d = e(d, f, h), d.return = a, a = d) : (c(a, d), d = af(f, a.mode, h), d.return = a, a = d), g(a);\n    if (zf(f)) return v(a, d, f, h);\n    if (hc(f)) return R(a, d, f, h);\n    l && Bf(a, f);\n    if (\"undefined\" === typeof f && !k) switch (a.tag) {\n      case 1:\n      case 0:\n        h = a.type, x(\"152\", h.displayName || h.name || \"Component\");\n    }\n    return c(a, d);\n  };\n}\n\nvar Df = Cf(!0),\n    Ef = Cf(!1),\n    Ff = {},\n    N = {\n  current: Ff\n},\n    Gf = {\n  current: Ff\n},\n    Hf = {\n  current: Ff\n};\n\nfunction If(a) {\n  a === Ff ? x(\"174\") : void 0;\n  return a;\n}\n\nfunction Jf(a, b) {\n  G(Hf, b, a);\n  G(Gf, a, a);\n  G(N, Ff, a);\n  var c = b.nodeType;\n\n  switch (c) {\n    case 9:\n    case 11:\n      b = (b = b.documentElement) ? b.namespaceURI : he(null, \"\");\n      break;\n\n    default:\n      c = 8 === c ? b.parentNode : b, b = c.namespaceURI || null, c = c.tagName, b = he(b, c);\n  }\n\n  F(N, a);\n  G(N, b, a);\n}\n\nfunction Kf(a) {\n  F(N, a);\n  F(Gf, a);\n  F(Hf, a);\n}\n\nfunction Lf(a) {\n  If(Hf.current);\n  var b = If(N.current);\n  var c = he(b, a.type);\n  b !== c && (G(Gf, a, a), G(N, c, a));\n}\n\nfunction Mf(a) {\n  Gf.current === a && (F(N, a), F(Gf, a));\n}\n\nvar Nf = 0,\n    Of = 2,\n    Pf = 4,\n    Qf = 8,\n    Rf = 16,\n    Sf = 32,\n    Tf = 64,\n    Uf = 128,\n    Vf = Tb.ReactCurrentDispatcher,\n    Wf = 0,\n    Xf = null,\n    O = null,\n    P = null,\n    Yf = null,\n    Q = null,\n    Zf = null,\n    $f = 0,\n    ag = null,\n    bg = 0,\n    cg = !1,\n    dg = null,\n    eg = 0;\n\nfunction fg() {\n  x(\"307\");\n}\n\nfunction gg(a, b) {\n  if (null === b) return !1;\n\n  for (var c = 0; c < b.length && c < a.length; c++) {\n    if (!bd(a[c], b[c])) return !1;\n  }\n\n  return !0;\n}\n\nfunction hg(a, b, c, d, e, f) {\n  Wf = f;\n  Xf = b;\n  P = null !== a ? a.memoizedState : null;\n  Vf.current = null === P ? ig : jg;\n  b = c(d, e);\n\n  if (cg) {\n    do {\n      cg = !1, eg += 1, P = null !== a ? a.memoizedState : null, Zf = Yf, ag = Q = O = null, Vf.current = jg, b = c(d, e);\n    } while (cg);\n\n    dg = null;\n    eg = 0;\n  }\n\n  Vf.current = kg;\n  a = Xf;\n  a.memoizedState = Yf;\n  a.expirationTime = $f;\n  a.updateQueue = ag;\n  a.effectTag |= bg;\n  a = null !== O && null !== O.next;\n  Wf = 0;\n  Zf = Q = Yf = P = O = Xf = null;\n  $f = 0;\n  ag = null;\n  bg = 0;\n  a ? x(\"300\") : void 0;\n  return b;\n}\n\nfunction lg() {\n  Vf.current = kg;\n  Wf = 0;\n  Zf = Q = Yf = P = O = Xf = null;\n  $f = 0;\n  ag = null;\n  bg = 0;\n  cg = !1;\n  dg = null;\n  eg = 0;\n}\n\nfunction mg() {\n  var a = {\n    memoizedState: null,\n    baseState: null,\n    queue: null,\n    baseUpdate: null,\n    next: null\n  };\n  null === Q ? Yf = Q = a : Q = Q.next = a;\n  return Q;\n}\n\nfunction ng() {\n  if (null !== Zf) Q = Zf, Zf = Q.next, O = P, P = null !== O ? O.next : null;else {\n    null === P ? x(\"310\") : void 0;\n    O = P;\n    var a = {\n      memoizedState: O.memoizedState,\n      baseState: O.baseState,\n      queue: O.queue,\n      baseUpdate: O.baseUpdate,\n      next: null\n    };\n    Q = null === Q ? Yf = a : Q.next = a;\n    P = O.next;\n  }\n  return Q;\n}\n\nfunction og(a, b) {\n  return \"function\" === typeof b ? b(a) : b;\n}\n\nfunction pg(a) {\n  var b = ng(),\n      c = b.queue;\n  null === c ? x(\"311\") : void 0;\n\n  if (0 < eg) {\n    var d = c.dispatch;\n\n    if (null !== dg) {\n      var e = dg.get(c);\n\n      if (void 0 !== e) {\n        dg.delete(c);\n        var f = b.memoizedState;\n\n        do {\n          f = a(f, e.action), e = e.next;\n        } while (null !== e);\n\n        bd(f, b.memoizedState) || (qg = !0);\n        b.memoizedState = f;\n        b.baseUpdate === c.last && (b.baseState = f);\n        c.eagerReducer = a;\n        c.eagerState = f;\n        return [f, d];\n      }\n    }\n\n    return [b.memoizedState, d];\n  }\n\n  d = c.last;\n  var g = b.baseUpdate;\n  f = b.baseState;\n  null !== g ? (null !== d && (d.next = null), d = g.next) : d = null !== d ? d.next : null;\n\n  if (null !== d) {\n    var h = e = null,\n        l = d,\n        k = !1;\n\n    do {\n      var m = l.expirationTime;\n      m < Wf ? (k || (k = !0, h = g, e = f), m > $f && ($f = m)) : f = l.eagerReducer === a ? l.eagerState : a(f, l.action);\n      g = l;\n      l = l.next;\n    } while (null !== l && l !== d);\n\n    k || (h = g, e = f);\n    bd(f, b.memoizedState) || (qg = !0);\n    b.memoizedState = f;\n    b.baseUpdate = h;\n    b.baseState = e;\n    c.eagerReducer = a;\n    c.eagerState = f;\n  }\n\n  return [b.memoizedState, c.dispatch];\n}\n\nfunction rg(a, b, c, d) {\n  a = {\n    tag: a,\n    create: b,\n    destroy: c,\n    deps: d,\n    next: null\n  };\n  null === ag ? (ag = {\n    lastEffect: null\n  }, ag.lastEffect = a.next = a) : (b = ag.lastEffect, null === b ? ag.lastEffect = a.next = a : (c = b.next, b.next = a, a.next = c, ag.lastEffect = a));\n  return a;\n}\n\nfunction sg(a, b, c, d) {\n  var e = mg();\n  bg |= a;\n  e.memoizedState = rg(b, c, void 0, void 0 === d ? null : d);\n}\n\nfunction tg(a, b, c, d) {\n  var e = ng();\n  d = void 0 === d ? null : d;\n  var f = void 0;\n\n  if (null !== O) {\n    var g = O.memoizedState;\n    f = g.destroy;\n\n    if (null !== d && gg(d, g.deps)) {\n      rg(Nf, c, f, d);\n      return;\n    }\n  }\n\n  bg |= a;\n  e.memoizedState = rg(b, c, f, d);\n}\n\nfunction ug(a, b) {\n  if (\"function\" === typeof b) return a = a(), b(a), function () {\n    b(null);\n  };\n  if (null !== b && void 0 !== b) return a = a(), b.current = a, function () {\n    b.current = null;\n  };\n}\n\nfunction vg() {}\n\nfunction wg(a, b, c) {\n  25 > eg ? void 0 : x(\"301\");\n  var d = a.alternate;\n  if (a === Xf || null !== d && d === Xf) {\n    if (cg = !0, a = {\n      expirationTime: Wf,\n      action: c,\n      eagerReducer: null,\n      eagerState: null,\n      next: null\n    }, null === dg && (dg = new Map()), c = dg.get(b), void 0 === c) dg.set(b, a);else {\n      for (b = c; null !== b.next;) {\n        b = b.next;\n      }\n\n      b.next = a;\n    }\n  } else {\n    of();\n    var e = lf();\n    e = mf(e, a);\n    var f = {\n      expirationTime: e,\n      action: c,\n      eagerReducer: null,\n      eagerState: null,\n      next: null\n    },\n        g = b.last;\n    if (null === g) f.next = f;else {\n      var h = g.next;\n      null !== h && (f.next = h);\n      g.next = f;\n    }\n    b.last = f;\n    if (0 === a.expirationTime && (null === d || 0 === d.expirationTime) && (d = b.eagerReducer, null !== d)) try {\n      var l = b.eagerState,\n          k = d(l, c);\n      f.eagerReducer = d;\n      f.eagerState = k;\n      if (bd(k, l)) return;\n    } catch (m) {} finally {}\n    qf(a, e);\n  }\n}\n\nvar kg = {\n  readContext: M,\n  useCallback: fg,\n  useContext: fg,\n  useEffect: fg,\n  useImperativeHandle: fg,\n  useLayoutEffect: fg,\n  useMemo: fg,\n  useReducer: fg,\n  useRef: fg,\n  useState: fg,\n  useDebugValue: fg\n},\n    ig = {\n  readContext: M,\n  useCallback: function useCallback(a, b) {\n    mg().memoizedState = [a, void 0 === b ? null : b];\n    return a;\n  },\n  useContext: M,\n  useEffect: function useEffect(a, b) {\n    return sg(516, Uf | Tf, a, b);\n  },\n  useImperativeHandle: function useImperativeHandle(a, b, c) {\n    c = null !== c && void 0 !== c ? c.concat([a]) : null;\n    return sg(4, Pf | Sf, ug.bind(null, b, a), c);\n  },\n  useLayoutEffect: function useLayoutEffect(a, b) {\n    return sg(4, Pf | Sf, a, b);\n  },\n  useMemo: function useMemo(a, b) {\n    var c = mg();\n    b = void 0 === b ? null : b;\n    a = a();\n    c.memoizedState = [a, b];\n    return a;\n  },\n  useReducer: function useReducer(a, b, c) {\n    var d = mg();\n    b = void 0 !== c ? c(b) : b;\n    d.memoizedState = d.baseState = b;\n    a = d.queue = {\n      last: null,\n      dispatch: null,\n      eagerReducer: a,\n      eagerState: b\n    };\n    a = a.dispatch = wg.bind(null, Xf, a);\n    return [d.memoizedState, a];\n  },\n  useRef: function useRef(a) {\n    var b = mg();\n    a = {\n      current: a\n    };\n    return b.memoizedState = a;\n  },\n  useState: function useState(a) {\n    var b = mg();\n    \"function\" === typeof a && (a = a());\n    b.memoizedState = b.baseState = a;\n    a = b.queue = {\n      last: null,\n      dispatch: null,\n      eagerReducer: og,\n      eagerState: a\n    };\n    a = a.dispatch = wg.bind(null, Xf, a);\n    return [b.memoizedState, a];\n  },\n  useDebugValue: vg\n},\n    jg = {\n  readContext: M,\n  useCallback: function useCallback(a, b) {\n    var c = ng();\n    b = void 0 === b ? null : b;\n    var d = c.memoizedState;\n    if (null !== d && null !== b && gg(b, d[1])) return d[0];\n    c.memoizedState = [a, b];\n    return a;\n  },\n  useContext: M,\n  useEffect: function useEffect(a, b) {\n    return tg(516, Uf | Tf, a, b);\n  },\n  useImperativeHandle: function useImperativeHandle(a, b, c) {\n    c = null !== c && void 0 !== c ? c.concat([a]) : null;\n    return tg(4, Pf | Sf, ug.bind(null, b, a), c);\n  },\n  useLayoutEffect: function useLayoutEffect(a, b) {\n    return tg(4, Pf | Sf, a, b);\n  },\n  useMemo: function useMemo(a, b) {\n    var c = ng();\n    b = void 0 === b ? null : b;\n    var d = c.memoizedState;\n    if (null !== d && null !== b && gg(b, d[1])) return d[0];\n    a = a();\n    c.memoizedState = [a, b];\n    return a;\n  },\n  useReducer: pg,\n  useRef: function useRef() {\n    return ng().memoizedState;\n  },\n  useState: function useState(a) {\n    return pg(og, a);\n  },\n  useDebugValue: vg\n},\n    xg = null,\n    yg = null,\n    zg = !1;\n\nfunction Ag(a, b) {\n  var c = K(5, null, null, 0);\n  c.elementType = \"DELETED\";\n  c.type = \"DELETED\";\n  c.stateNode = b;\n  c.return = a;\n  c.effectTag = 8;\n  null !== a.lastEffect ? (a.lastEffect.nextEffect = c, a.lastEffect = c) : a.firstEffect = a.lastEffect = c;\n}\n\nfunction Bg(a, b) {\n  switch (a.tag) {\n    case 5:\n      var c = a.type;\n      b = 1 !== b.nodeType || c.toLowerCase() !== b.nodeName.toLowerCase() ? null : b;\n      return null !== b ? (a.stateNode = b, !0) : !1;\n\n    case 6:\n      return b = \"\" === a.pendingProps || 3 !== b.nodeType ? null : b, null !== b ? (a.stateNode = b, !0) : !1;\n\n    case 13:\n      return !1;\n\n    default:\n      return !1;\n  }\n}\n\nfunction Cg(a) {\n  if (zg) {\n    var b = yg;\n\n    if (b) {\n      var c = b;\n\n      if (!Bg(a, b)) {\n        b = De(c);\n\n        if (!b || !Bg(a, b)) {\n          a.effectTag |= 2;\n          zg = !1;\n          xg = a;\n          return;\n        }\n\n        Ag(xg, c);\n      }\n\n      xg = a;\n      yg = Ee(b);\n    } else a.effectTag |= 2, zg = !1, xg = a;\n  }\n}\n\nfunction Dg(a) {\n  for (a = a.return; null !== a && 5 !== a.tag && 3 !== a.tag && 18 !== a.tag;) {\n    a = a.return;\n  }\n\n  xg = a;\n}\n\nfunction Eg(a) {\n  if (a !== xg) return !1;\n  if (!zg) return Dg(a), zg = !0, !1;\n  var b = a.type;\n  if (5 !== a.tag || \"head\" !== b && \"body\" !== b && !xe(b, a.memoizedProps)) for (b = yg; b;) {\n    Ag(a, b), b = De(b);\n  }\n  Dg(a);\n  yg = xg ? De(a.stateNode) : null;\n  return !0;\n}\n\nfunction Fg() {\n  yg = xg = null;\n  zg = !1;\n}\n\nvar Gg = Tb.ReactCurrentOwner,\n    qg = !1;\n\nfunction S(a, b, c, d) {\n  b.child = null === a ? Ef(b, null, c, d) : Df(b, a.child, c, d);\n}\n\nfunction Hg(a, b, c, d, e) {\n  c = c.render;\n  var f = b.ref;\n  Ig(b, e);\n  d = hg(a, b, c, d, f, e);\n  if (null !== a && !qg) return b.updateQueue = a.updateQueue, b.effectTag &= -517, a.expirationTime <= e && (a.expirationTime = 0), Jg(a, b, e);\n  b.effectTag |= 1;\n  S(a, b, d, e);\n  return b.child;\n}\n\nfunction Kg(a, b, c, d, e, f) {\n  if (null === a) {\n    var g = c.type;\n    if (\"function\" === typeof g && !Ve(g) && void 0 === g.defaultProps && null === c.compare && void 0 === c.defaultProps) return b.tag = 15, b.type = g, Lg(a, b, g, d, e, f);\n    a = Ye(c.type, null, d, null, b.mode, f);\n    a.ref = b.ref;\n    a.return = b;\n    return b.child = a;\n  }\n\n  g = a.child;\n  if (e < f && (e = g.memoizedProps, c = c.compare, c = null !== c ? c : dd, c(e, d) && a.ref === b.ref)) return Jg(a, b, f);\n  b.effectTag |= 1;\n  a = Xe(g, d, f);\n  a.ref = b.ref;\n  a.return = b;\n  return b.child = a;\n}\n\nfunction Lg(a, b, c, d, e, f) {\n  return null !== a && dd(a.memoizedProps, d) && a.ref === b.ref && (qg = !1, e < f) ? Jg(a, b, f) : Mg(a, b, c, d, f);\n}\n\nfunction Ng(a, b) {\n  var c = b.ref;\n  if (null === a && null !== c || null !== a && a.ref !== c) b.effectTag |= 128;\n}\n\nfunction Mg(a, b, c, d, e) {\n  var f = J(c) ? Ie : H.current;\n  f = Je(b, f);\n  Ig(b, e);\n  c = hg(a, b, c, d, f, e);\n  if (null !== a && !qg) return b.updateQueue = a.updateQueue, b.effectTag &= -517, a.expirationTime <= e && (a.expirationTime = 0), Jg(a, b, e);\n  b.effectTag |= 1;\n  S(a, b, c, e);\n  return b.child;\n}\n\nfunction Og(a, b, c, d, e) {\n  if (J(c)) {\n    var f = !0;\n    Oe(b);\n  } else f = !1;\n\n  Ig(b, e);\n  if (null === b.stateNode) null !== a && (a.alternate = null, b.alternate = null, b.effectTag |= 2), vf(b, c, d, e), xf(b, c, d, e), d = !0;else if (null === a) {\n    var g = b.stateNode,\n        h = b.memoizedProps;\n    g.props = h;\n    var l = g.context,\n        k = c.contextType;\n    \"object\" === typeof k && null !== k ? k = M(k) : (k = J(c) ? Ie : H.current, k = Je(b, k));\n    var m = c.getDerivedStateFromProps,\n        p = \"function\" === typeof m || \"function\" === typeof g.getSnapshotBeforeUpdate;\n    p || \"function\" !== typeof g.UNSAFE_componentWillReceiveProps && \"function\" !== typeof g.componentWillReceiveProps || (h !== d || l !== k) && wf(b, g, d, k);\n    Pg = !1;\n    var t = b.memoizedState;\n    l = g.state = t;\n    var A = b.updateQueue;\n    null !== A && (yf(b, A, d, g, e), l = b.memoizedState);\n    h !== d || t !== l || I.current || Pg ? (\"function\" === typeof m && (kf(b, c, m, d), l = b.memoizedState), (h = Pg || uf(b, c, h, d, t, l, k)) ? (p || \"function\" !== typeof g.UNSAFE_componentWillMount && \"function\" !== typeof g.componentWillMount || (\"function\" === typeof g.componentWillMount && g.componentWillMount(), \"function\" === typeof g.UNSAFE_componentWillMount && g.UNSAFE_componentWillMount()), \"function\" === typeof g.componentDidMount && (b.effectTag |= 4)) : (\"function\" === typeof g.componentDidMount && (b.effectTag |= 4), b.memoizedProps = d, b.memoizedState = l), g.props = d, g.state = l, g.context = k, d = h) : (\"function\" === typeof g.componentDidMount && (b.effectTag |= 4), d = !1);\n  } else g = b.stateNode, h = b.memoizedProps, g.props = b.type === b.elementType ? h : L(b.type, h), l = g.context, k = c.contextType, \"object\" === typeof k && null !== k ? k = M(k) : (k = J(c) ? Ie : H.current, k = Je(b, k)), m = c.getDerivedStateFromProps, (p = \"function\" === typeof m || \"function\" === typeof g.getSnapshotBeforeUpdate) || \"function\" !== typeof g.UNSAFE_componentWillReceiveProps && \"function\" !== typeof g.componentWillReceiveProps || (h !== d || l !== k) && wf(b, g, d, k), Pg = !1, l = b.memoizedState, t = g.state = l, A = b.updateQueue, null !== A && (yf(b, A, d, g, e), t = b.memoizedState), h !== d || l !== t || I.current || Pg ? (\"function\" === typeof m && (kf(b, c, m, d), t = b.memoizedState), (m = Pg || uf(b, c, h, d, l, t, k)) ? (p || \"function\" !== typeof g.UNSAFE_componentWillUpdate && \"function\" !== typeof g.componentWillUpdate || (\"function\" === typeof g.componentWillUpdate && g.componentWillUpdate(d, t, k), \"function\" === typeof g.UNSAFE_componentWillUpdate && g.UNSAFE_componentWillUpdate(d, t, k)), \"function\" === typeof g.componentDidUpdate && (b.effectTag |= 4), \"function\" === typeof g.getSnapshotBeforeUpdate && (b.effectTag |= 256)) : (\"function\" !== typeof g.componentDidUpdate || h === a.memoizedProps && l === a.memoizedState || (b.effectTag |= 4), \"function\" !== typeof g.getSnapshotBeforeUpdate || h === a.memoizedProps && l === a.memoizedState || (b.effectTag |= 256), b.memoizedProps = d, b.memoizedState = t), g.props = d, g.state = t, g.context = k, d = m) : (\"function\" !== typeof g.componentDidUpdate || h === a.memoizedProps && l === a.memoizedState || (b.effectTag |= 4), \"function\" !== typeof g.getSnapshotBeforeUpdate || h === a.memoizedProps && l === a.memoizedState || (b.effectTag |= 256), d = !1);\n  return Qg(a, b, c, d, f, e);\n}\n\nfunction Qg(a, b, c, d, e, f) {\n  Ng(a, b);\n  var g = 0 !== (b.effectTag & 64);\n  if (!d && !g) return e && Pe(b, c, !1), Jg(a, b, f);\n  d = b.stateNode;\n  Gg.current = b;\n  var h = g && \"function\" !== typeof c.getDerivedStateFromError ? null : d.render();\n  b.effectTag |= 1;\n  null !== a && g ? (b.child = Df(b, a.child, null, f), b.child = Df(b, null, h, f)) : S(a, b, h, f);\n  b.memoizedState = d.state;\n  e && Pe(b, c, !0);\n  return b.child;\n}\n\nfunction Rg(a) {\n  var b = a.stateNode;\n  b.pendingContext ? Me(a, b.pendingContext, b.pendingContext !== b.context) : b.context && Me(a, b.context, !1);\n  Jf(a, b.containerInfo);\n}\n\nfunction Sg(a, b, c) {\n  var d = b.mode,\n      e = b.pendingProps,\n      f = b.memoizedState;\n\n  if (0 === (b.effectTag & 64)) {\n    f = null;\n    var g = !1;\n  } else f = {\n    timedOutAt: null !== f ? f.timedOutAt : 0\n  }, g = !0, b.effectTag &= -65;\n\n  if (null === a) {\n    if (g) {\n      var h = e.fallback;\n      a = Ze(null, d, 0, null);\n      0 === (b.mode & 1) && (a.child = null !== b.memoizedState ? b.child.child : b.child);\n      d = Ze(h, d, c, null);\n      a.sibling = d;\n      c = a;\n      c.return = d.return = b;\n    } else c = d = Ef(b, null, e.children, c);\n  } else null !== a.memoizedState ? (d = a.child, h = d.sibling, g ? (c = e.fallback, e = Xe(d, d.pendingProps, 0), 0 === (b.mode & 1) && (g = null !== b.memoizedState ? b.child.child : b.child, g !== d.child && (e.child = g)), d = e.sibling = Xe(h, c, h.expirationTime), c = e, e.childExpirationTime = 0, c.return = d.return = b) : c = d = Df(b, d.child, e.children, c)) : (h = a.child, g ? (g = e.fallback, e = Ze(null, d, 0, null), e.child = h, 0 === (b.mode & 1) && (e.child = null !== b.memoizedState ? b.child.child : b.child), d = e.sibling = Ze(g, d, c, null), d.effectTag |= 2, c = e, e.childExpirationTime = 0, c.return = d.return = b) : d = c = Df(b, h, e.children, c)), b.stateNode = a.stateNode;\n  b.memoizedState = f;\n  b.child = c;\n  return d;\n}\n\nfunction Jg(a, b, c) {\n  null !== a && (b.contextDependencies = a.contextDependencies);\n  if (b.childExpirationTime < c) return null;\n  null !== a && b.child !== a.child ? x(\"153\") : void 0;\n\n  if (null !== b.child) {\n    a = b.child;\n    c = Xe(a, a.pendingProps, a.expirationTime);\n    b.child = c;\n\n    for (c.return = b; null !== a.sibling;) {\n      a = a.sibling, c = c.sibling = Xe(a, a.pendingProps, a.expirationTime), c.return = b;\n    }\n\n    c.sibling = null;\n  }\n\n  return b.child;\n}\n\nfunction Tg(a, b, c) {\n  var d = b.expirationTime;\n  if (null !== a) {\n    if (a.memoizedProps !== b.pendingProps || I.current) qg = !0;else {\n      if (d < c) {\n        qg = !1;\n\n        switch (b.tag) {\n          case 3:\n            Rg(b);\n            Fg();\n            break;\n\n          case 5:\n            Lf(b);\n            break;\n\n          case 1:\n            J(b.type) && Oe(b);\n            break;\n\n          case 4:\n            Jf(b, b.stateNode.containerInfo);\n            break;\n\n          case 10:\n            Ug(b, b.memoizedProps.value);\n            break;\n\n          case 13:\n            if (null !== b.memoizedState) {\n              d = b.child.childExpirationTime;\n              if (0 !== d && d >= c) return Sg(a, b, c);\n              b = Jg(a, b, c);\n              return null !== b ? b.sibling : null;\n            }\n\n        }\n\n        return Jg(a, b, c);\n      }\n    }\n  } else qg = !1;\n  b.expirationTime = 0;\n\n  switch (b.tag) {\n    case 2:\n      d = b.elementType;\n      null !== a && (a.alternate = null, b.alternate = null, b.effectTag |= 2);\n      a = b.pendingProps;\n      var e = Je(b, H.current);\n      Ig(b, c);\n      e = hg(null, b, d, a, e, c);\n      b.effectTag |= 1;\n\n      if (\"object\" === typeof e && null !== e && \"function\" === typeof e.render && void 0 === e.$$typeof) {\n        b.tag = 1;\n        lg();\n\n        if (J(d)) {\n          var f = !0;\n          Oe(b);\n        } else f = !1;\n\n        b.memoizedState = null !== e.state && void 0 !== e.state ? e.state : null;\n        var g = d.getDerivedStateFromProps;\n        \"function\" === typeof g && kf(b, d, g, a);\n        e.updater = tf;\n        b.stateNode = e;\n        e._reactInternalFiber = b;\n        xf(b, d, a, c);\n        b = Qg(null, b, d, !0, f, c);\n      } else b.tag = 0, S(null, b, e, c), b = b.child;\n\n      return b;\n\n    case 16:\n      e = b.elementType;\n      null !== a && (a.alternate = null, b.alternate = null, b.effectTag |= 2);\n      f = b.pendingProps;\n      a = hf(e);\n      b.type = a;\n      e = b.tag = We(a);\n      f = L(a, f);\n      g = void 0;\n\n      switch (e) {\n        case 0:\n          g = Mg(null, b, a, f, c);\n          break;\n\n        case 1:\n          g = Og(null, b, a, f, c);\n          break;\n\n        case 11:\n          g = Hg(null, b, a, f, c);\n          break;\n\n        case 14:\n          g = Kg(null, b, a, L(a.type, f), d, c);\n          break;\n\n        default:\n          x(\"306\", a, \"\");\n      }\n\n      return g;\n\n    case 0:\n      return d = b.type, e = b.pendingProps, e = b.elementType === d ? e : L(d, e), Mg(a, b, d, e, c);\n\n    case 1:\n      return d = b.type, e = b.pendingProps, e = b.elementType === d ? e : L(d, e), Og(a, b, d, e, c);\n\n    case 3:\n      Rg(b);\n      d = b.updateQueue;\n      null === d ? x(\"282\") : void 0;\n      e = b.memoizedState;\n      e = null !== e ? e.element : null;\n      yf(b, d, b.pendingProps, null, c);\n      d = b.memoizedState.element;\n      if (d === e) Fg(), b = Jg(a, b, c);else {\n        e = b.stateNode;\n        if (e = (null === a || null === a.child) && e.hydrate) yg = Ee(b.stateNode.containerInfo), xg = b, e = zg = !0;\n        e ? (b.effectTag |= 2, b.child = Ef(b, null, d, c)) : (S(a, b, d, c), Fg());\n        b = b.child;\n      }\n      return b;\n\n    case 5:\n      return Lf(b), null === a && Cg(b), d = b.type, e = b.pendingProps, f = null !== a ? a.memoizedProps : null, g = e.children, xe(d, e) ? g = null : null !== f && xe(d, f) && (b.effectTag |= 16), Ng(a, b), 1 !== c && b.mode & 1 && e.hidden ? (b.expirationTime = b.childExpirationTime = 1, b = null) : (S(a, b, g, c), b = b.child), b;\n\n    case 6:\n      return null === a && Cg(b), null;\n\n    case 13:\n      return Sg(a, b, c);\n\n    case 4:\n      return Jf(b, b.stateNode.containerInfo), d = b.pendingProps, null === a ? b.child = Df(b, null, d, c) : S(a, b, d, c), b.child;\n\n    case 11:\n      return d = b.type, e = b.pendingProps, e = b.elementType === d ? e : L(d, e), Hg(a, b, d, e, c);\n\n    case 7:\n      return S(a, b, b.pendingProps, c), b.child;\n\n    case 8:\n      return S(a, b, b.pendingProps.children, c), b.child;\n\n    case 12:\n      return S(a, b, b.pendingProps.children, c), b.child;\n\n    case 10:\n      a: {\n        d = b.type._context;\n        e = b.pendingProps;\n        g = b.memoizedProps;\n        f = e.value;\n        Ug(b, f);\n\n        if (null !== g) {\n          var h = g.value;\n          f = bd(h, f) ? 0 : (\"function\" === typeof d._calculateChangedBits ? d._calculateChangedBits(h, f) : 1073741823) | 0;\n\n          if (0 === f) {\n            if (g.children === e.children && !I.current) {\n              b = Jg(a, b, c);\n              break a;\n            }\n          } else for (h = b.child, null !== h && (h.return = b); null !== h;) {\n            var l = h.contextDependencies;\n\n            if (null !== l) {\n              g = h.child;\n\n              for (var k = l.first; null !== k;) {\n                if (k.context === d && 0 !== (k.observedBits & f)) {\n                  1 === h.tag && (k = nf(c), k.tag = sf, pf(h, k));\n                  h.expirationTime < c && (h.expirationTime = c);\n                  k = h.alternate;\n                  null !== k && k.expirationTime < c && (k.expirationTime = c);\n                  k = c;\n\n                  for (var m = h.return; null !== m;) {\n                    var p = m.alternate;\n                    if (m.childExpirationTime < k) m.childExpirationTime = k, null !== p && p.childExpirationTime < k && (p.childExpirationTime = k);else if (null !== p && p.childExpirationTime < k) p.childExpirationTime = k;else break;\n                    m = m.return;\n                  }\n\n                  l.expirationTime < c && (l.expirationTime = c);\n                  break;\n                }\n\n                k = k.next;\n              }\n            } else g = 10 === h.tag ? h.type === b.type ? null : h.child : h.child;\n\n            if (null !== g) g.return = h;else for (g = h; null !== g;) {\n              if (g === b) {\n                g = null;\n                break;\n              }\n\n              h = g.sibling;\n\n              if (null !== h) {\n                h.return = g.return;\n                g = h;\n                break;\n              }\n\n              g = g.return;\n            }\n            h = g;\n          }\n        }\n\n        S(a, b, e.children, c);\n        b = b.child;\n      }\n\n      return b;\n\n    case 9:\n      return e = b.type, f = b.pendingProps, d = f.children, Ig(b, c), e = M(e, f.unstable_observedBits), d = d(e), b.effectTag |= 1, S(a, b, d, c), b.child;\n\n    case 14:\n      return e = b.type, f = L(e, b.pendingProps), f = L(e.type, f), Kg(a, b, e, f, d, c);\n\n    case 15:\n      return Lg(a, b, b.type, b.pendingProps, d, c);\n\n    case 17:\n      return d = b.type, e = b.pendingProps, e = b.elementType === d ? e : L(d, e), null !== a && (a.alternate = null, b.alternate = null, b.effectTag |= 2), b.tag = 1, J(d) ? (a = !0, Oe(b)) : a = !1, Ig(b, c), vf(b, d, e, c), xf(b, d, e, c), Qg(null, b, d, !0, a, c);\n  }\n\n  x(\"156\");\n}\n\nvar Vg = {\n  current: null\n},\n    Wg = null,\n    Xg = null,\n    Yg = null;\n\nfunction Ug(a, b) {\n  var c = a.type._context;\n  G(Vg, c._currentValue, a);\n  c._currentValue = b;\n}\n\nfunction Zg(a) {\n  var b = Vg.current;\n  F(Vg, a);\n  a.type._context._currentValue = b;\n}\n\nfunction Ig(a, b) {\n  Wg = a;\n  Yg = Xg = null;\n  var c = a.contextDependencies;\n  null !== c && c.expirationTime >= b && (qg = !0);\n  a.contextDependencies = null;\n}\n\nfunction M(a, b) {\n  if (Yg !== a && !1 !== b && 0 !== b) {\n    if (\"number\" !== typeof b || 1073741823 === b) Yg = a, b = 1073741823;\n    b = {\n      context: a,\n      observedBits: b,\n      next: null\n    };\n    null === Xg ? (null === Wg ? x(\"308\") : void 0, Xg = b, Wg.contextDependencies = {\n      first: b,\n      expirationTime: 0\n    }) : Xg = Xg.next = b;\n  }\n\n  return a._currentValue;\n}\n\nvar $g = 0,\n    rf = 1,\n    sf = 2,\n    ah = 3,\n    Pg = !1;\n\nfunction bh(a) {\n  return {\n    baseState: a,\n    firstUpdate: null,\n    lastUpdate: null,\n    firstCapturedUpdate: null,\n    lastCapturedUpdate: null,\n    firstEffect: null,\n    lastEffect: null,\n    firstCapturedEffect: null,\n    lastCapturedEffect: null\n  };\n}\n\nfunction ch(a) {\n  return {\n    baseState: a.baseState,\n    firstUpdate: a.firstUpdate,\n    lastUpdate: a.lastUpdate,\n    firstCapturedUpdate: null,\n    lastCapturedUpdate: null,\n    firstEffect: null,\n    lastEffect: null,\n    firstCapturedEffect: null,\n    lastCapturedEffect: null\n  };\n}\n\nfunction nf(a) {\n  return {\n    expirationTime: a,\n    tag: $g,\n    payload: null,\n    callback: null,\n    next: null,\n    nextEffect: null\n  };\n}\n\nfunction dh(a, b) {\n  null === a.lastUpdate ? a.firstUpdate = a.lastUpdate = b : (a.lastUpdate.next = b, a.lastUpdate = b);\n}\n\nfunction pf(a, b) {\n  var c = a.alternate;\n\n  if (null === c) {\n    var d = a.updateQueue;\n    var e = null;\n    null === d && (d = a.updateQueue = bh(a.memoizedState));\n  } else d = a.updateQueue, e = c.updateQueue, null === d ? null === e ? (d = a.updateQueue = bh(a.memoizedState), e = c.updateQueue = bh(c.memoizedState)) : d = a.updateQueue = ch(e) : null === e && (e = c.updateQueue = ch(d));\n\n  null === e || d === e ? dh(d, b) : null === d.lastUpdate || null === e.lastUpdate ? (dh(d, b), dh(e, b)) : (dh(d, b), e.lastUpdate = b);\n}\n\nfunction eh(a, b) {\n  var c = a.updateQueue;\n  c = null === c ? a.updateQueue = bh(a.memoizedState) : fh(a, c);\n  null === c.lastCapturedUpdate ? c.firstCapturedUpdate = c.lastCapturedUpdate = b : (c.lastCapturedUpdate.next = b, c.lastCapturedUpdate = b);\n}\n\nfunction fh(a, b) {\n  var c = a.alternate;\n  null !== c && b === c.updateQueue && (b = a.updateQueue = ch(b));\n  return b;\n}\n\nfunction gh(a, b, c, d, e, f) {\n  switch (c.tag) {\n    case rf:\n      return a = c.payload, \"function\" === typeof a ? a.call(f, d, e) : a;\n\n    case ah:\n      a.effectTag = a.effectTag & -2049 | 64;\n\n    case $g:\n      a = c.payload;\n      e = \"function\" === typeof a ? a.call(f, d, e) : a;\n      if (null === e || void 0 === e) break;\n      return n({}, d, e);\n\n    case sf:\n      Pg = !0;\n  }\n\n  return d;\n}\n\nfunction yf(a, b, c, d, e) {\n  Pg = !1;\n  b = fh(a, b);\n\n  for (var f = b.baseState, g = null, h = 0, l = b.firstUpdate, k = f; null !== l;) {\n    var m = l.expirationTime;\n    m < e ? (null === g && (g = l, f = k), h < m && (h = m)) : (k = gh(a, b, l, k, c, d), null !== l.callback && (a.effectTag |= 32, l.nextEffect = null, null === b.lastEffect ? b.firstEffect = b.lastEffect = l : (b.lastEffect.nextEffect = l, b.lastEffect = l)));\n    l = l.next;\n  }\n\n  m = null;\n\n  for (l = b.firstCapturedUpdate; null !== l;) {\n    var p = l.expirationTime;\n    p < e ? 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b : c;\n  0 === b && (Fh = null);\n  $h(a, b);\n}\n\nfunction ai(a) {\n  for (;;) {\n    var b = a.alternate,\n        c = a.return,\n        d = a.sibling;\n\n    if (0 === (a.effectTag & 1024)) {\n      T = a;\n\n      a: {\n        var e = b;\n        b = a;\n        var f = U;\n        var g = b.pendingProps;\n\n        switch (b.tag) {\n          case 2:\n            break;\n\n          case 16:\n            break;\n\n          case 15:\n          case 0:\n            break;\n\n          case 1:\n            J(b.type) && Ke(b);\n            break;\n\n          case 3:\n            Kf(b);\n            Le(b);\n            g = b.stateNode;\n            g.pendingContext && (g.context = g.pendingContext, g.pendingContext = null);\n            if (null === e || null === e.child) Eg(b), b.effectTag &= -3;\n            mh(b);\n            break;\n\n          case 5:\n            Mf(b);\n            var h = If(Hf.current);\n            f = b.type;\n            if (null !== e && null != b.stateNode) nh(e, b, f, g, h), e.ref !== b.ref && (b.effectTag |= 128);else if (g) {\n              var l = If(N.current);\n\n              if (Eg(b)) {\n                g = b;\n                e = g.stateNode;\n                var k = g.type,\n                    m = g.memoizedProps,\n                    p = h;\n                e[Fa] = g;\n                e[Ga] = m;\n                f = void 0;\n                h = k;\n\n                switch (h) {\n                  case \"iframe\":\n                  case \"object\":\n                    E(\"load\", e);\n                    break;\n\n                  case \"video\":\n                  case \"audio\":\n                    for (k = 0; k < ab.length; k++) {\n                      E(ab[k], e);\n                    }\n\n                    break;\n\n                  case \"source\":\n                    E(\"error\", e);\n                    break;\n\n                  case \"img\":\n                  case \"image\":\n                  case \"link\":\n                    E(\"error\", e);\n                    E(\"load\", e);\n                    break;\n\n                  case \"form\":\n                    E(\"reset\", e);\n                    E(\"submit\", e);\n                    break;\n\n                  case \"details\":\n                    E(\"toggle\", e);\n                    break;\n\n                  case \"input\":\n                    wc(e, m);\n                    E(\"invalid\", e);\n                    se(p, \"onChange\");\n                    break;\n\n                  case \"select\":\n                    e._wrapperState = {\n                      wasMultiple: !!m.multiple\n                    };\n                    E(\"invalid\", e);\n                    se(p, \"onChange\");\n                    break;\n\n                  case \"textarea\":\n                    ce(e, m), E(\"invalid\", e), se(p, \"onChange\");\n                }\n\n                qe(h, m);\n                k = null;\n\n                for (f in m) {\n                  m.hasOwnProperty(f) && (l = m[f], \"children\" === f ? \"string\" === typeof l ? e.textContent !== l && (k = [\"children\", l]) : \"number\" === typeof l && e.textContent !== \"\" + l && (k = [\"children\", \"\" + l]) : ra.hasOwnProperty(f) && null != l && se(p, f));\n                }\n\n                switch (h) {\n                  case \"input\":\n                    Rb(e);\n                    Ac(e, m, !0);\n                    break;\n\n                  case \"textarea\":\n                    Rb(e);\n                    ee(e, m);\n                    break;\n\n                  case \"select\":\n                  case \"option\":\n                    break;\n\n                  default:\n                    \"function\" === typeof m.onClick && (e.onclick = te);\n                }\n\n                f = k;\n                g.updateQueue = f;\n                g = null !== f ? !0 : !1;\n                g && kh(b);\n              } else {\n                m = b;\n                e = f;\n                p = g;\n                k = 9 === h.nodeType ? h : h.ownerDocument;\n                l === fe.html && (l = ge(e));\n                l === fe.html ? \"script\" === e ? (e = k.createElement(\"div\"), e.innerHTML = \"<script>\\x3c/script>\", k = e.removeChild(e.firstChild)) : \"string\" === typeof p.is ? k = k.createElement(e, {\n                  is: p.is\n                }) : (k = k.createElement(e), \"select\" === e && p.multiple && (k.multiple = !0)) : k = k.createElementNS(l, e);\n                e = k;\n                e[Fa] = m;\n                e[Ga] = g;\n                lh(e, b, !1, !1);\n                p = e;\n                k = f;\n                m = g;\n                var t = h,\n                    A = re(k, m);\n\n                switch (k) {\n                  case \"iframe\":\n                  case \"object\":\n                    E(\"load\", p);\n                    h = m;\n                    break;\n\n                  case \"video\":\n                  case \"audio\":\n                    for (h = 0; h < ab.length; h++) {\n                      E(ab[h], p);\n                    }\n\n                    h = m;\n                    break;\n\n                  case \"source\":\n                    E(\"error\", p);\n                    h = m;\n                    break;\n\n                  case \"img\":\n                  case \"image\":\n                  case \"link\":\n                    E(\"error\", p);\n                    E(\"load\", p);\n                    h = m;\n                    break;\n\n                  case \"form\":\n                    E(\"reset\", p);\n                    E(\"submit\", p);\n                    h = m;\n                    break;\n\n                  case \"details\":\n                    E(\"toggle\", p);\n                    h = m;\n                    break;\n\n                  case \"input\":\n                    wc(p, m);\n                    h = vc(p, m);\n                    E(\"invalid\", p);\n                    se(t, \"onChange\");\n                    break;\n\n                  case \"option\":\n                    h = $d(p, m);\n                    break;\n\n                  case \"select\":\n                    p._wrapperState = {\n                      wasMultiple: !!m.multiple\n                    };\n                    h = n({}, m, {\n                      value: void 0\n                    });\n                    E(\"invalid\", p);\n                    se(t, \"onChange\");\n                    break;\n\n                  case \"textarea\":\n                    ce(p, m);\n                    h = be(p, m);\n                    E(\"invalid\", p);\n                    se(t, \"onChange\");\n                    break;\n\n                  default:\n                    h = m;\n                }\n\n                qe(k, h);\n                l = void 0;\n                var v = k,\n                    R = p,\n                    u = h;\n\n                for (l in u) {\n                  if (u.hasOwnProperty(l)) {\n                    var q = u[l];\n                    \"style\" === l ? oe(R, q) : \"dangerouslySetInnerHTML\" === l ? (q = q ? q.__html : void 0, null != q && je(R, q)) : \"children\" === l ? \"string\" === typeof q ? (\"textarea\" !== v || \"\" !== q) && ke(R, q) : \"number\" === typeof q && ke(R, \"\" + q) : \"suppressContentEditableWarning\" !== l && \"suppressHydrationWarning\" !== l && \"autoFocus\" !== l && (ra.hasOwnProperty(l) ? null != q && se(t, l) : null != q && tc(R, l, q, A));\n                  }\n                }\n\n                switch (k) {\n                  case \"input\":\n                    Rb(p);\n                    Ac(p, m, !1);\n                    break;\n\n                  case \"textarea\":\n                    Rb(p);\n                    ee(p, m);\n                    break;\n\n                  case \"option\":\n                    null != m.value && p.setAttribute(\"value\", \"\" + uc(m.value));\n                    break;\n\n                  case \"select\":\n                    h = p;\n                    h.multiple = !!m.multiple;\n                    p = m.value;\n                    null != p ? ae(h, !!m.multiple, p, !1) : null != m.defaultValue && ae(h, !!m.multiple, m.defaultValue, !0);\n                    break;\n\n                  default:\n                    \"function\" === typeof h.onClick && (p.onclick = te);\n                }\n\n                (g = we(f, g)) && kh(b);\n                b.stateNode = e;\n              }\n\n              null !== b.ref && (b.effectTag |= 128);\n            } else null === b.stateNode ? x(\"166\") : void 0;\n            break;\n\n          case 6:\n            e && null != b.stateNode ? oh(e, b, e.memoizedProps, g) : (\"string\" !== typeof g && (null === b.stateNode ? x(\"166\") : void 0), e = If(Hf.current), If(N.current), Eg(b) ? (g = b, f = g.stateNode, e = g.memoizedProps, f[Fa] = g, (g = f.nodeValue !== e) && kh(b)) : (f = b, g = (9 === e.nodeType ? e : e.ownerDocument).createTextNode(g), g[Fa] = b, f.stateNode = g));\n            break;\n\n          case 11:\n            break;\n\n          case 13:\n            g = b.memoizedState;\n\n            if (0 !== (b.effectTag & 64)) {\n              b.expirationTime = f;\n              T = b;\n              break a;\n            }\n\n            g = null !== g;\n            f = null !== e && null !== e.memoizedState;\n            null !== e && !g && f && (e = e.child.sibling, null !== e && (h = b.firstEffect, null !== h ? (b.firstEffect = e, e.nextEffect = h) : (b.firstEffect = b.lastEffect = e, e.nextEffect = null), e.effectTag = 8));\n            if (g || f) b.effectTag |= 4;\n            break;\n\n          case 7:\n            break;\n\n          case 8:\n            break;\n\n          case 12:\n            break;\n\n          case 4:\n            Kf(b);\n            mh(b);\n            break;\n\n          case 10:\n            Zg(b);\n            break;\n\n          case 9:\n            break;\n\n          case 14:\n            break;\n\n          case 17:\n            J(b.type) && Ke(b);\n            break;\n\n          case 18:\n            break;\n\n          default:\n            x(\"156\");\n        }\n\n        T = null;\n      }\n\n      b = a;\n\n      if (1 === U || 1 !== b.childExpirationTime) {\n        g = 0;\n\n        for (f = b.child; null !== f;) {\n          e = f.expirationTime, h = f.childExpirationTime, e > g && (g = e), h > g && (g = h), f = f.sibling;\n        }\n\n        b.childExpirationTime = g;\n      }\n\n      if (null !== T) return T;\n      null !== c && 0 === (c.effectTag & 1024) && (null === c.firstEffect && (c.firstEffect = a.firstEffect), null !== a.lastEffect && (null !== c.lastEffect && (c.lastEffect.nextEffect = a.firstEffect), c.lastEffect = a.lastEffect), 1 < a.effectTag && (null !== c.lastEffect ? c.lastEffect.nextEffect = a : c.firstEffect = a, c.lastEffect = a));\n    } else {\n      a = Gh(a, U);\n      if (null !== a) return a.effectTag &= 1023, a;\n      null !== c && (c.firstEffect = c.lastEffect = null, c.effectTag |= 1024);\n    }\n\n    if (null !== d) return d;\n    if (null !== c) a = c;else break;\n  }\n\n  return null;\n}\n\nfunction bi(a) {\n  var b = Tg(a.alternate, a, U);\n  a.memoizedProps = a.pendingProps;\n  null === b && (b = ai(a));\n  Ih.current = null;\n  return b;\n}\n\nfunction ci(a, b) {\n  Kh ? x(\"243\") : void 0;\n  of();\n  Kh = !0;\n  var c = Hh.current;\n  Hh.current = kg;\n  var d = a.nextExpirationTimeToWorkOn;\n  if (d !== U || a !== Lh || null === T) Sh(), Lh = a, U = d, T = Xe(Lh.current, null, U), a.pendingCommitExpirationTime = 0;\n  var e = !1;\n\n  do {\n    try {\n      if (b) for (; null !== T && !di();) {\n        T = bi(T);\n      } else for (; null !== T;) {\n        T = bi(T);\n      }\n    } catch (u) {\n      if (Yg = Xg = Wg = null, lg(), null === T) e = !0, Dh(u);else {\n        null === T ? x(\"271\") : void 0;\n        var f = T,\n            g = f.return;\n        if (null === g) e = !0, Dh(u);else {\n          a: {\n            var h = a,\n                l = g,\n                k = f,\n                m = u;\n            g = U;\n            k.effectTag |= 1024;\n            k.firstEffect = k.lastEffect = null;\n\n            if (null !== m && \"object\" === typeof m && \"function\" === typeof m.then) {\n              var p = m;\n              m = l;\n              var t = -1,\n                  A = -1;\n\n              do {\n                if (13 === m.tag) {\n                  var v = m.alternate;\n\n                  if (null !== v && (v = v.memoizedState, null !== v)) {\n                    A = 10 * (1073741822 - v.timedOutAt);\n                    break;\n                  }\n\n                  v = m.pendingProps.maxDuration;\n                  if (\"number\" === typeof v) if (0 >= v) t = 0;else if (-1 === t || v < t) t = v;\n                }\n\n                m = m.return;\n              } while (null !== m);\n\n              m = l;\n\n              do {\n                if (v = 13 === m.tag) v = void 0 === m.memoizedProps.fallback ? !1 : null === m.memoizedState;\n\n                if (v) {\n                  l = m.updateQueue;\n                  null === l ? (l = new Set(), l.add(p), m.updateQueue = l) : l.add(p);\n\n                  if (0 === (m.mode & 1)) {\n                    m.effectTag |= 64;\n                    k.effectTag &= -1957;\n                    1 === k.tag && (null === k.alternate ? k.tag = 17 : (g = nf(1073741823), g.tag = sf, pf(k, g)));\n                    k.expirationTime = 1073741823;\n                    break a;\n                  }\n\n                  k = h;\n                  l = g;\n                  var R = k.pingCache;\n                  null === R ? (R = k.pingCache = new Bh(), v = new Set(), R.set(p, v)) : (v = R.get(p), void 0 === v && (v = new Set(), R.set(p, v)));\n                  v.has(l) || (v.add(l), k = ei.bind(null, k, p, l), p.then(k, k));\n                  -1 === t ? h = 1073741823 : (-1 === A && (A = 10 * (1073741822 - gf(h, g)) - 5E3), h = A + t);\n                  0 <= h && Mh < h && (Mh = h);\n                  m.effectTag |= 2048;\n                  m.expirationTime = g;\n                  break a;\n                }\n\n                m = m.return;\n              } while (null !== m);\n\n              m = Error((ic(k.type) || \"A React component\") + \" suspended while rendering, but no fallback UI was specified.\\n\\nAdd a <Suspense fallback=...> component higher in the tree to provide a loading indicator or placeholder to display.\" + jc(k));\n            }\n\n            Nh = !0;\n            m = jh(m, k);\n            h = l;\n\n            do {\n              switch (h.tag) {\n                case 3:\n                  h.effectTag |= 2048;\n                  h.expirationTime = g;\n                  g = Ch(h, m, g);\n                  eh(h, g);\n                  break a;\n\n                case 1:\n                  if (t = m, A = h.type, k = h.stateNode, 0 === (h.effectTag & 64) && (\"function\" === typeof A.getDerivedStateFromError || null !== k && \"function\" === typeof k.componentDidCatch && (null === Fh || !Fh.has(k)))) {\n                    h.effectTag |= 2048;\n                    h.expirationTime = g;\n                    g = Eh(h, t, g);\n                    eh(h, g);\n                    break a;\n                  }\n\n              }\n\n              h = h.return;\n            } while (null !== h);\n          }\n\n          T = ai(f);\n          continue;\n        }\n      }\n    }\n\n    break;\n  } while (1);\n\n  Kh = !1;\n  Hh.current = c;\n  Yg = Xg = Wg = null;\n  lg();\n  if (e) Lh = null, a.finishedWork = null;else if (null !== T) a.finishedWork = null;else {\n    c = a.current.alternate;\n    null === c ? x(\"281\") : void 0;\n    Lh = null;\n\n    if (Nh) {\n      e = a.latestPendingTime;\n      f = a.latestSuspendedTime;\n      g = a.latestPingedTime;\n\n      if (0 !== e && e < d || 0 !== f && f < d || 0 !== g && g < d) {\n        ff(a, d);\n        fi(a, c, d, a.expirationTime, -1);\n        return;\n      }\n\n      if (!a.didError && b) {\n        a.didError = !0;\n        d = a.nextExpirationTimeToWorkOn = d;\n        b = a.expirationTime = 1073741823;\n        fi(a, c, d, b, -1);\n        return;\n      }\n    }\n\n    b && -1 !== Mh ? 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Returns a completion\n  // record like context.tryEntries[i].completion. This interface could\n  // have been (and was previously) designed to take a closure to be\n  // invoked without arguments, but in all the cases we care about we\n  // already have an existing method we want to call, so there's no need\n  // to create a new function object. We can even get away with assuming\n  // the method takes exactly one argument, since that happens to be true\n  // in every case, so we don't have to touch the arguments object. The\n  // only additional allocation required is the completion record, which\n  // has a stable shape and so hopefully should be cheap to allocate.\n\n  function tryCatch(fn, obj, arg) {\n    try {\n      return {\n        type: \"normal\",\n        arg: fn.call(obj, arg)\n      };\n    } catch (err) {\n      return {\n        type: \"throw\",\n        arg: err\n      };\n    }\n  }\n\n  var GenStateSuspendedStart = \"suspendedStart\";\n  var GenStateSuspendedYield = \"suspendedYield\";\n  var GenStateExecuting = \"executing\";\n  var GenStateCompleted = \"completed\"; // Returning this object from the innerFn has the same effect as\n  // breaking out of the dispatch switch statement.\n\n  var ContinueSentinel = {}; // Dummy constructor functions that we use as the .constructor and\n  // .constructor.prototype properties for functions that return Generator\n  // objects. For full spec compliance, you may wish to configure your\n  // minifier not to mangle the names of these two functions.\n\n  function Generator() {}\n\n  function GeneratorFunction() {}\n\n  function GeneratorFunctionPrototype() {} // This is a polyfill for %IteratorPrototype% for environments that\n  // don't natively support it.\n\n\n  var IteratorPrototype = {};\n\n  IteratorPrototype[iteratorSymbol] = function () {\n    return this;\n  };\n\n  var getProto = Object.getPrototypeOf;\n  var NativeIteratorPrototype = getProto && getProto(getProto(values([])));\n\n  if (NativeIteratorPrototype && NativeIteratorPrototype !== Op && hasOwn.call(NativeIteratorPrototype, iteratorSymbol)) {\n    // This environment has a native %IteratorPrototype%; use it instead\n    // of the polyfill.\n    IteratorPrototype = NativeIteratorPrototype;\n  }\n\n  var Gp = GeneratorFunctionPrototype.prototype = Generator.prototype = Object.create(IteratorPrototype);\n  GeneratorFunction.prototype = Gp.constructor = GeneratorFunctionPrototype;\n  GeneratorFunctionPrototype.constructor = GeneratorFunction;\n  GeneratorFunctionPrototype[toStringTagSymbol] = GeneratorFunction.displayName = \"GeneratorFunction\"; // Helper for defining the .next, .throw, and .return methods of the\n  // Iterator interface in terms of a single ._invoke method.\n\n  function defineIteratorMethods(prototype) {\n    [\"next\", \"throw\", \"return\"].forEach(function (method) {\n      prototype[method] = function (arg) {\n        return this._invoke(method, arg);\n      };\n    });\n  }\n\n  runtime.isGeneratorFunction = function (genFun) {\n    var ctor = typeof genFun === \"function\" && genFun.constructor;\n    return ctor ? ctor === GeneratorFunction || // For the native GeneratorFunction constructor, the best we can\n    // do is to check its .name property.\n    (ctor.displayName || ctor.name) === \"GeneratorFunction\" : false;\n  };\n\n  runtime.mark = function (genFun) {\n    if (Object.setPrototypeOf) {\n      Object.setPrototypeOf(genFun, GeneratorFunctionPrototype);\n    } else {\n      genFun.__proto__ = GeneratorFunctionPrototype;\n\n      if (!(toStringTagSymbol in genFun)) {\n        genFun[toStringTagSymbol] = \"GeneratorFunction\";\n      }\n    }\n\n    genFun.prototype = Object.create(Gp);\n    return genFun;\n  }; // Within the body of any async function, `await x` is transformed to\n  // `yield regeneratorRuntime.awrap(x)`, so that the runtime can test\n  // `hasOwn.call(value, \"__await\")` to determine if the yielded value is\n  // meant to be awaited.\n\n\n  runtime.awrap = function (arg) {\n    return {\n      __await: arg\n    };\n  };\n\n  function AsyncIterator(generator) {\n    function invoke(method, arg, resolve, reject) {\n      var record = tryCatch(generator[method], generator, arg);\n\n      if (record.type === \"throw\") {\n        reject(record.arg);\n      } else {\n        var result = record.arg;\n        var value = result.value;\n\n        if (value && typeof value === \"object\" && hasOwn.call(value, \"__await\")) {\n          return Promise.resolve(value.__await).then(function (value) {\n            invoke(\"next\", value, resolve, reject);\n          }, function (err) {\n            invoke(\"throw\", err, resolve, reject);\n          });\n        }\n\n        return Promise.resolve(value).then(function (unwrapped) {\n          // When a yielded Promise is resolved, its final value becomes\n          // the .value of the Promise<{value,done}> result for the\n          // current iteration.\n          result.value = unwrapped;\n          resolve(result);\n        }, function (error) {\n          // If a rejected Promise was yielded, throw the rejection back\n          // into the async generator function so it can be handled there.\n          return invoke(\"throw\", error, resolve, reject);\n        });\n      }\n    }\n\n    var previousPromise;\n\n    function enqueue(method, arg) {\n      function callInvokeWithMethodAndArg() {\n        return new Promise(function (resolve, reject) {\n          invoke(method, arg, resolve, reject);\n        });\n      }\n\n      return previousPromise = // If enqueue has been called before, then we want to wait until\n      // all previous Promises have been resolved before calling invoke,\n      // so that results are always delivered in the correct order. If\n      // enqueue has not been called before, then it is important to\n      // call invoke immediately, without waiting on a callback to fire,\n      // so that the async generator function has the opportunity to do\n      // any necessary setup in a predictable way. This predictability\n      // is why the Promise constructor synchronously invokes its\n      // executor callback, and why async functions synchronously\n      // execute code before the first await. Since we implement simple\n      // async functions in terms of async generators, it is especially\n      // important to get this right, even though it requires care.\n      previousPromise ? previousPromise.then(callInvokeWithMethodAndArg, // Avoid propagating failures to Promises returned by later\n      // invocations of the iterator.\n      callInvokeWithMethodAndArg) : callInvokeWithMethodAndArg();\n    } // Define the unified helper method that is used to implement .next,\n    // .throw, and .return (see defineIteratorMethods).\n\n\n    this._invoke = enqueue;\n  }\n\n  defineIteratorMethods(AsyncIterator.prototype);\n\n  AsyncIterator.prototype[asyncIteratorSymbol] = function () {\n    return this;\n  };\n\n  runtime.AsyncIterator = AsyncIterator; // Note that simple async functions are implemented on top of\n  // AsyncIterator objects; they just return a Promise for the value of\n  // the final result produced by the iterator.\n\n  runtime.async = function (innerFn, outerFn, self, tryLocsList) {\n    var iter = new AsyncIterator(wrap(innerFn, outerFn, self, tryLocsList));\n    return runtime.isGeneratorFunction(outerFn) ? iter // If outerFn is a generator, return the full iterator.\n    : iter.next().then(function (result) {\n      return result.done ? result.value : iter.next();\n    });\n  };\n\n  function makeInvokeMethod(innerFn, self, context) {\n    var state = GenStateSuspendedStart;\n    return function invoke(method, arg) {\n      if (state === GenStateExecuting) {\n        throw new Error(\"Generator is already running\");\n      }\n\n      if (state === GenStateCompleted) {\n        if (method === \"throw\") {\n          throw arg;\n        } // Be forgiving, per 25.3.3.3.3 of the spec:\n        // https://people.mozilla.org/~jorendorff/es6-draft.html#sec-generatorresume\n\n\n        return doneResult();\n      }\n\n      context.method = method;\n      context.arg = arg;\n\n      while (true) {\n        var delegate = context.delegate;\n\n        if (delegate) {\n          var delegateResult = maybeInvokeDelegate(delegate, context);\n\n          if (delegateResult) {\n            if (delegateResult === ContinueSentinel) continue;\n            return delegateResult;\n          }\n        }\n\n        if (context.method === \"next\") {\n          // Setting context._sent for legacy support of Babel's\n          // function.sent implementation.\n          context.sent = context._sent = context.arg;\n        } else if (context.method === \"throw\") {\n          if (state === GenStateSuspendedStart) {\n            state = GenStateCompleted;\n            throw context.arg;\n          }\n\n          context.dispatchException(context.arg);\n        } else if (context.method === \"return\") {\n          context.abrupt(\"return\", context.arg);\n        }\n\n        state = GenStateExecuting;\n        var record = tryCatch(innerFn, self, context);\n\n        if (record.type === \"normal\") {\n          // If an exception is thrown from innerFn, we leave state ===\n          // GenStateExecuting and loop back for another invocation.\n          state = context.done ? GenStateCompleted : GenStateSuspendedYield;\n\n          if (record.arg === ContinueSentinel) {\n            continue;\n          }\n\n          return {\n            value: record.arg,\n            done: context.done\n          };\n        } else if (record.type === \"throw\") {\n          state = GenStateCompleted; // Dispatch the exception by looping back around to the\n          // context.dispatchException(context.arg) call above.\n\n          context.method = \"throw\";\n          context.arg = record.arg;\n        }\n      }\n    };\n  } // Call delegate.iterator[context.method](context.arg) and handle the\n  // result, either by returning a { value, done } result from the\n  // delegate iterator, or by modifying context.method and context.arg,\n  // setting context.delegate to null, and returning the ContinueSentinel.\n\n\n  function maybeInvokeDelegate(delegate, context) {\n    var method = delegate.iterator[context.method];\n\n    if (method === undefined) {\n      // A .throw or .return when the delegate iterator has no .throw\n      // method always terminates the yield* loop.\n      context.delegate = null;\n\n      if (context.method === \"throw\") {\n        if (delegate.iterator.return) {\n          // If the delegate iterator has a return method, give it a\n          // chance to clean up.\n          context.method = \"return\";\n          context.arg = undefined;\n          maybeInvokeDelegate(delegate, context);\n\n          if (context.method === \"throw\") {\n            // If maybeInvokeDelegate(context) changed context.method from\n            // \"return\" to \"throw\", let that override the TypeError below.\n            return ContinueSentinel;\n          }\n        }\n\n        context.method = \"throw\";\n        context.arg = new TypeError(\"The iterator does not provide a 'throw' method\");\n      }\n\n      return ContinueSentinel;\n    }\n\n    var record = tryCatch(method, delegate.iterator, context.arg);\n\n    if (record.type === \"throw\") {\n      context.method = \"throw\";\n      context.arg = record.arg;\n      context.delegate = null;\n      return ContinueSentinel;\n    }\n\n    var info = record.arg;\n\n    if (!info) {\n      context.method = \"throw\";\n      context.arg = new TypeError(\"iterator result is not an object\");\n      context.delegate = null;\n      return ContinueSentinel;\n    }\n\n    if (info.done) {\n      // Assign the result of the finished delegate to the temporary\n      // variable specified by delegate.resultName (see delegateYield).\n      context[delegate.resultName] = info.value; // Resume execution at the desired location (see delegateYield).\n\n      context.next = delegate.nextLoc; // If context.method was \"throw\" but the delegate handled the\n      // exception, let the outer generator proceed normally. If\n      // context.method was \"next\", forget context.arg since it has been\n      // \"consumed\" by the delegate iterator. If context.method was\n      // \"return\", allow the original .return call to continue in the\n      // outer generator.\n\n      if (context.method !== \"return\") {\n        context.method = \"next\";\n        context.arg = undefined;\n      }\n    } else {\n      // Re-yield the result returned by the delegate method.\n      return info;\n    } // The delegate iterator is finished, so forget it and continue with\n    // the outer generator.\n\n\n    context.delegate = null;\n    return ContinueSentinel;\n  } // Define Generator.prototype.{next,throw,return} in terms of the\n  // unified ._invoke helper method.\n\n\n  defineIteratorMethods(Gp);\n  Gp[toStringTagSymbol] = \"Generator\"; // A Generator should always return itself as the iterator object when the\n  // @@iterator function is called on it. Some browsers' implementations of the\n  // iterator prototype chain incorrectly implement this, causing the Generator\n  // object to not be returned from this call. This ensures that doesn't happen.\n  // See https://github.com/facebook/regenerator/issues/274 for more details.\n\n  Gp[iteratorSymbol] = function () {\n    return this;\n  };\n\n  Gp.toString = function () {\n    return \"[object Generator]\";\n  };\n\n  function pushTryEntry(locs) {\n    var entry = {\n      tryLoc: locs[0]\n    };\n\n    if (1 in locs) {\n      entry.catchLoc = locs[1];\n    }\n\n    if (2 in locs) {\n      entry.finallyLoc = locs[2];\n      entry.afterLoc = locs[3];\n    }\n\n    this.tryEntries.push(entry);\n  }\n\n  function resetTryEntry(entry) {\n    var record = entry.completion || {};\n    record.type = \"normal\";\n    delete record.arg;\n    entry.completion = record;\n  }\n\n  function Context(tryLocsList) {\n    // The root entry object (effectively a try statement without a catch\n    // or a finally block) gives us a place to store values thrown from\n    // locations where there is no enclosing try statement.\n    this.tryEntries = [{\n      tryLoc: \"root\"\n    }];\n    tryLocsList.forEach(pushTryEntry, this);\n    this.reset(true);\n  }\n\n  runtime.keys = function (object) {\n    var keys = [];\n\n    for (var key in object) {\n      keys.push(key);\n    }\n\n    keys.reverse(); // Rather than returning an object with a next method, we keep\n    // things simple and return the next function itself.\n\n    return function next() {\n      while (keys.length) {\n        var key = keys.pop();\n\n        if (key in object) {\n          next.value = key;\n          next.done = false;\n          return next;\n        }\n      } // To avoid creating an additional object, we just hang the .value\n      // and .done properties off the next function object itself. This\n      // also ensures that the minifier will not anonymize the function.\n\n\n      next.done = true;\n      return next;\n    };\n  };\n\n  function values(iterable) {\n    if (iterable) {\n      var iteratorMethod = iterable[iteratorSymbol];\n\n      if (iteratorMethod) {\n        return iteratorMethod.call(iterable);\n      }\n\n      if (typeof iterable.next === \"function\") {\n        return iterable;\n      }\n\n      if (!isNaN(iterable.length)) {\n        var i = -1,\n            next = function next() {\n          while (++i < iterable.length) {\n            if (hasOwn.call(iterable, i)) {\n              next.value = iterable[i];\n              next.done = false;\n              return next;\n            }\n          }\n\n          next.value = undefined;\n          next.done = true;\n          return next;\n        };\n\n        return next.next = next;\n      }\n    } // Return an iterator with no values.\n\n\n    return {\n      next: doneResult\n    };\n  }\n\n  runtime.values = values;\n\n  function doneResult() {\n    return {\n      value: undefined,\n      done: true\n    };\n  }\n\n  Context.prototype = {\n    constructor: Context,\n    reset: function reset(skipTempReset) {\n      this.prev = 0;\n      this.next = 0; // Resetting context._sent for legacy support of Babel's\n      // function.sent implementation.\n\n      this.sent = this._sent = undefined;\n      this.done = false;\n      this.delegate = null;\n      this.method = \"next\";\n      this.arg = undefined;\n      this.tryEntries.forEach(resetTryEntry);\n\n      if (!skipTempReset) {\n        for (var name in this) {\n          // Not sure about the optimal order of these conditions:\n          if (name.charAt(0) === \"t\" && hasOwn.call(this, name) && !isNaN(+name.slice(1))) {\n            this[name] = undefined;\n          }\n        }\n      }\n    },\n    stop: function stop() {\n      this.done = true;\n      var rootEntry = this.tryEntries[0];\n      var rootRecord = rootEntry.completion;\n\n      if (rootRecord.type === \"throw\") {\n        throw rootRecord.arg;\n      }\n\n      return this.rval;\n    },\n    dispatchException: function dispatchException(exception) {\n      if (this.done) {\n        throw exception;\n      }\n\n      var context = this;\n\n      function handle(loc, caught) {\n        record.type = \"throw\";\n        record.arg = exception;\n        context.next = loc;\n\n        if (caught) {\n          // If the dispatched exception was caught by a catch block,\n          // then let that catch block handle the exception normally.\n          context.method = \"next\";\n          context.arg = undefined;\n        }\n\n        return !!caught;\n      }\n\n      for (var i = this.tryEntries.length - 1; i >= 0; --i) {\n        var entry = this.tryEntries[i];\n        var record = entry.completion;\n\n        if (entry.tryLoc === \"root\") {\n          // Exception thrown outside of any try block that could handle\n          // it, so set the completion value of the entire function to\n          // throw the exception.\n          return handle(\"end\");\n        }\n\n        if (entry.tryLoc <= this.prev) {\n          var hasCatch = hasOwn.call(entry, \"catchLoc\");\n          var hasFinally = hasOwn.call(entry, \"finallyLoc\");\n\n          if (hasCatch && hasFinally) {\n            if (this.prev < entry.catchLoc) {\n              return handle(entry.catchLoc, true);\n            } else if (this.prev < entry.finallyLoc) {\n              return handle(entry.finallyLoc);\n            }\n          } else if (hasCatch) {\n            if (this.prev < entry.catchLoc) {\n              return handle(entry.catchLoc, true);\n            }\n          } else if (hasFinally) {\n            if (this.prev < entry.finallyLoc) {\n              return handle(entry.finallyLoc);\n            }\n          } else {\n            throw new Error(\"try statement without catch or finally\");\n          }\n        }\n      }\n    },\n    abrupt: function abrupt(type, arg) {\n      for (var i = this.tryEntries.length - 1; i >= 0; --i) {\n        var entry = this.tryEntries[i];\n\n        if (entry.tryLoc <= this.prev && hasOwn.call(entry, \"finallyLoc\") && this.prev < entry.finallyLoc) {\n          var finallyEntry = entry;\n          break;\n        }\n      }\n\n      if (finallyEntry && (type === \"break\" || type === \"continue\") && finallyEntry.tryLoc <= arg && arg <= finallyEntry.finallyLoc) {\n        // Ignore the finally entry if control is not jumping to a\n        // location outside the try/catch block.\n        finallyEntry = null;\n      }\n\n      var record = finallyEntry ? finallyEntry.completion : {};\n      record.type = type;\n      record.arg = arg;\n\n      if (finallyEntry) {\n        this.method = \"next\";\n        this.next = finallyEntry.finallyLoc;\n        return ContinueSentinel;\n      }\n\n      return this.complete(record);\n    },\n    complete: function complete(record, afterLoc) {\n      if (record.type === \"throw\") {\n        throw record.arg;\n      }\n\n      if (record.type === \"break\" || record.type === \"continue\") {\n        this.next = record.arg;\n      } else if (record.type === \"return\") {\n        this.rval = this.arg = record.arg;\n        this.method = \"return\";\n        this.next = \"end\";\n      } else if (record.type === \"normal\" && afterLoc) {\n        this.next = afterLoc;\n      }\n\n      return ContinueSentinel;\n    },\n    finish: function finish(finallyLoc) {\n      for (var i = this.tryEntries.length - 1; i >= 0; --i) {\n        var entry = this.tryEntries[i];\n\n        if (entry.finallyLoc === finallyLoc) {\n          this.complete(entry.completion, entry.afterLoc);\n          resetTryEntry(entry);\n          return ContinueSentinel;\n        }\n      }\n    },\n    \"catch\": function _catch(tryLoc) {\n      for (var i = this.tryEntries.length - 1; i >= 0; --i) {\n        var entry = this.tryEntries[i];\n\n        if (entry.tryLoc === tryLoc) {\n          var record = entry.completion;\n\n          if (record.type === \"throw\") {\n            var thrown = record.arg;\n            resetTryEntry(entry);\n          }\n\n          return thrown;\n        }\n      } // The context.catch method must only be called with a location\n      // argument that corresponds to a known catch block.\n\n\n      throw new Error(\"illegal catch attempt\");\n    },\n    delegateYield: function delegateYield(iterable, resultName, nextLoc) {\n      this.delegate = {\n        iterator: values(iterable),\n        resultName: resultName,\n        nextLoc: nextLoc\n      };\n\n      if (this.method === \"next\") {\n        // Deliberately forget the last sent value so that we don't\n        // accidentally pass it on to the delegate.\n        this.arg = undefined;\n      }\n\n      return ContinueSentinel;\n    }\n  };\n}( // In sloppy mode, unbound `this` refers to the global object, fallback to\n// Function constructor if we're in global strict mode. That is sadly a form\n// of indirect eval which violates Content Security Policy.\nfunction () {\n  return this || typeof self === \"object\" && self;\n}() || Function(\"return this\")());","'use strict';\n\nvar utils = require('./utils');\n\nvar bind = require('./helpers/bind');\n\nvar Axios = require('./core/Axios');\n\nvar defaults = require('./defaults');\n/**\n * Create an instance of Axios\n *\n * @param {Object} defaultConfig The default config for the instance\n * @return {Axios} A new instance of Axios\n */\n\n\nfunction createInstance(defaultConfig) {\n  var context = new Axios(defaultConfig);\n  var instance = bind(Axios.prototype.request, context); // Copy axios.prototype to instance\n\n  utils.extend(instance, Axios.prototype, context); // Copy context to instance\n\n  utils.extend(instance, context);\n  return instance;\n} // Create the default instance to be exported\n\n\nvar axios = createInstance(defaults); // Expose Axios class to allow class inheritance\n\naxios.Axios = Axios; // Factory for creating new instances\n\naxios.create = function create(instanceConfig) {\n  return createInstance(utils.merge(defaults, instanceConfig));\n}; // Expose Cancel & CancelToken\n\n\naxios.Cancel = require('./cancel/Cancel');\naxios.CancelToken = require('./cancel/CancelToken');\naxios.isCancel = require('./cancel/isCancel'); // Expose all/spread\n\naxios.all = function all(promises) {\n  return Promise.all(promises);\n};\n\naxios.spread = require('./helpers/spread');\nmodule.exports = axios; // Allow use of default import syntax in TypeScript\n\nmodule.exports.default = axios;","/*!\n * Determine if an object is a Buffer\n *\n * @author   Feross Aboukhadijeh <https://feross.org>\n * @license  MIT\n */\n// The _isBuffer check is for Safari 5-7 support, because it's missing\n// Object.prototype.constructor. Remove this eventually\nmodule.exports = function (obj) {\n  return obj != null && (isBuffer(obj) || isSlowBuffer(obj) || !!obj._isBuffer);\n};\n\nfunction isBuffer(obj) {\n  return !!obj.constructor && typeof obj.constructor.isBuffer === 'function' && obj.constructor.isBuffer(obj);\n} // For Node v0.10 support. Remove this eventually.\n\n\nfunction isSlowBuffer(obj) {\n  return typeof obj.readFloatLE === 'function' && typeof obj.slice === 'function' && isBuffer(obj.slice(0, 0));\n}","'use strict';\n\nvar defaults = require('./../defaults');\n\nvar utils = require('./../utils');\n\nvar InterceptorManager = require('./InterceptorManager');\n\nvar dispatchRequest = require('./dispatchRequest');\n/**\n * Create a new instance of Axios\n *\n * @param {Object} instanceConfig The default config for the instance\n */\n\n\nfunction Axios(instanceConfig) {\n  this.defaults = instanceConfig;\n  this.interceptors = {\n    request: new InterceptorManager(),\n    response: new InterceptorManager()\n  };\n}\n/**\n * Dispatch a request\n *\n * @param {Object} config The config specific for this request (merged with this.defaults)\n */\n\n\nAxios.prototype.request = function request(config) {\n  /*eslint no-param-reassign:0*/\n  // Allow for axios('example/url'[, config]) a la fetch API\n  if (typeof config === 'string') {\n    config = utils.merge({\n      url: arguments[0]\n    }, arguments[1]);\n  }\n\n  config = utils.merge(defaults, {\n    method: 'get'\n  }, this.defaults, config);\n  config.method = config.method.toLowerCase(); // Hook up interceptors middleware\n\n  var chain = [dispatchRequest, undefined];\n  var promise = Promise.resolve(config);\n  this.interceptors.request.forEach(function unshiftRequestInterceptors(interceptor) {\n    chain.unshift(interceptor.fulfilled, interceptor.rejected);\n  });\n  this.interceptors.response.forEach(function pushResponseInterceptors(interceptor) {\n    chain.push(interceptor.fulfilled, interceptor.rejected);\n  });\n\n  while (chain.length) {\n    promise = promise.then(chain.shift(), chain.shift());\n  }\n\n  return promise;\n}; // Provide aliases for supported request methods\n\n\nutils.forEach(['delete', 'get', 'head', 'options'], function forEachMethodNoData(method) {\n  /*eslint func-names:0*/\n  Axios.prototype[method] = function (url, config) {\n    return this.request(utils.merge(config || {}, {\n      method: method,\n      url: url\n    }));\n  };\n});\nutils.forEach(['post', 'put', 'patch'], function forEachMethodWithData(method) {\n  /*eslint func-names:0*/\n  Axios.prototype[method] = function (url, data, config) {\n    return this.request(utils.merge(config || {}, {\n      method: method,\n      url: url,\n      data: data\n    }));\n  };\n});\nmodule.exports = Axios;","'use strict';\n\nvar utils = require('../utils');\n\nmodule.exports = function normalizeHeaderName(headers, normalizedName) {\n  utils.forEach(headers, function processHeader(value, name) {\n    if (name !== normalizedName && name.toUpperCase() === normalizedName.toUpperCase()) {\n      headers[normalizedName] = value;\n      delete headers[name];\n    }\n  });\n};","'use strict';\n\nvar createError = require('./createError');\n/**\n * Resolve or reject a Promise based on response status.\n *\n * @param {Function} resolve A function that resolves the promise.\n * @param {Function} reject A function that rejects the promise.\n * @param {object} response The response.\n */\n\n\nmodule.exports = function settle(resolve, reject, response) {\n  var validateStatus = response.config.validateStatus; // Note: status is not exposed by XDomainRequest\n\n  if (!response.status || !validateStatus || validateStatus(response.status)) {\n    resolve(response);\n  } else {\n    reject(createError('Request failed with status code ' + response.status, response.config, null, response.request, response));\n  }\n};","'use strict';\n/**\n * Update an Error with the specified config, error code, and response.\n *\n * @param {Error} error The error to update.\n * @param {Object} config The config.\n * @param {string} [code] The error code (for example, 'ECONNABORTED').\n * @param {Object} [request] The request.\n * @param {Object} [response] The response.\n * @returns {Error} The error.\n */\n\nmodule.exports = function enhanceError(error, config, code, request, response) {\n  error.config = config;\n\n  if (code) {\n    error.code = code;\n  }\n\n  error.request = request;\n  error.response = response;\n  return error;\n};","'use strict';\n\nvar utils = require('./../utils');\n\nfunction encode(val) {\n  return encodeURIComponent(val).replace(/%40/gi, '@').replace(/%3A/gi, ':').replace(/%24/g, '$').replace(/%2C/gi, ',').replace(/%20/g, '+').replace(/%5B/gi, '[').replace(/%5D/gi, ']');\n}\n/**\n * Build a URL by appending params to the end\n *\n * @param {string} url The base of the url (e.g., http://www.google.com)\n * @param {object} [params] The params to be appended\n * @returns {string} The formatted url\n */\n\n\nmodule.exports = function buildURL(url, params, paramsSerializer) {\n  /*eslint no-param-reassign:0*/\n  if (!params) {\n    return url;\n  }\n\n  var serializedParams;\n\n  if (paramsSerializer) {\n    serializedParams = paramsSerializer(params);\n  } else if (utils.isURLSearchParams(params)) {\n    serializedParams = params.toString();\n  } else {\n    var parts = [];\n    utils.forEach(params, function serialize(val, key) {\n      if (val === null || typeof val === 'undefined') {\n        return;\n      }\n\n      if (utils.isArray(val)) {\n        key = key + '[]';\n      } else {\n        val = [val];\n      }\n\n      utils.forEach(val, function parseValue(v) {\n        if (utils.isDate(v)) {\n          v = v.toISOString();\n        } else if (utils.isObject(v)) {\n          v = JSON.stringify(v);\n        }\n\n        parts.push(encode(key) + '=' + encode(v));\n      });\n    });\n    serializedParams = parts.join('&');\n  }\n\n  if (serializedParams) {\n    url += (url.indexOf('?') === -1 ? '?' : '&') + serializedParams;\n  }\n\n  return url;\n};","'use strict';\n\nvar utils = require('./../utils'); // Headers whose duplicates are ignored by node\n// c.f. https://nodejs.org/api/http.html#http_message_headers\n\n\nvar ignoreDuplicateOf = ['age', 'authorization', 'content-length', 'content-type', 'etag', 'expires', 'from', 'host', 'if-modified-since', 'if-unmodified-since', 'last-modified', 'location', 'max-forwards', 'proxy-authorization', 'referer', 'retry-after', 'user-agent'];\n/**\n * Parse headers into an object\n *\n * ```\n * Date: Wed, 27 Aug 2014 08:58:49 GMT\n * Content-Type: application/json\n * Connection: keep-alive\n * Transfer-Encoding: chunked\n * ```\n *\n * @param {String} headers Headers needing to be parsed\n * @returns {Object} Headers parsed into an object\n */\n\nmodule.exports = function parseHeaders(headers) {\n  var parsed = {};\n  var key;\n  var val;\n  var i;\n\n  if (!headers) {\n    return parsed;\n  }\n\n  utils.forEach(headers.split('\\n'), function parser(line) {\n    i = line.indexOf(':');\n    key = utils.trim(line.substr(0, i)).toLowerCase();\n    val = utils.trim(line.substr(i + 1));\n\n    if (key) {\n      if (parsed[key] && ignoreDuplicateOf.indexOf(key) >= 0) {\n        return;\n      }\n\n      if (key === 'set-cookie') {\n        parsed[key] = (parsed[key] ? parsed[key] : []).concat([val]);\n      } else {\n        parsed[key] = parsed[key] ? parsed[key] + ', ' + val : val;\n      }\n    }\n  });\n  return parsed;\n};","'use strict';\n\nvar utils = require('./../utils');\n\nmodule.exports = utils.isStandardBrowserEnv() ? // Standard browser envs have full support of the APIs needed to test\n// whether the request URL is of the same origin as current location.\nfunction standardBrowserEnv() {\n  var msie = /(msie|trident)/i.test(navigator.userAgent);\n  var urlParsingNode = document.createElement('a');\n  var originURL;\n  /**\n  * Parse a URL to discover it's components\n  *\n  * @param {String} url The URL to be parsed\n  * @returns {Object}\n  */\n\n  function resolveURL(url) {\n    var href = url;\n\n    if (msie) {\n      // IE needs attribute set twice to normalize properties\n      urlParsingNode.setAttribute('href', href);\n      href = urlParsingNode.href;\n    }\n\n    urlParsingNode.setAttribute('href', href); // urlParsingNode provides the UrlUtils interface - http://url.spec.whatwg.org/#urlutils\n\n    return {\n      href: urlParsingNode.href,\n      protocol: urlParsingNode.protocol ? urlParsingNode.protocol.replace(/:$/, '') : '',\n      host: urlParsingNode.host,\n      search: urlParsingNode.search ? urlParsingNode.search.replace(/^\\?/, '') : '',\n      hash: urlParsingNode.hash ? urlParsingNode.hash.replace(/^#/, '') : '',\n      hostname: urlParsingNode.hostname,\n      port: urlParsingNode.port,\n      pathname: urlParsingNode.pathname.charAt(0) === '/' ? urlParsingNode.pathname : '/' + urlParsingNode.pathname\n    };\n  }\n\n  originURL = resolveURL(window.location.href);\n  /**\n  * Determine if a URL shares the same origin as the current location\n  *\n  * @param {String} requestURL The URL to test\n  * @returns {boolean} True if URL shares the same origin, otherwise false\n  */\n\n  return function isURLSameOrigin(requestURL) {\n    var parsed = utils.isString(requestURL) ? resolveURL(requestURL) : requestURL;\n    return parsed.protocol === originURL.protocol && parsed.host === originURL.host;\n  };\n}() : // Non standard browser envs (web workers, react-native) lack needed support.\nfunction nonStandardBrowserEnv() {\n  return function isURLSameOrigin() {\n    return true;\n  };\n}();","'use strict'; // btoa polyfill for IE<10 courtesy https://github.com/davidchambers/Base64.js\n\nvar chars = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/=';\n\nfunction E() {\n  this.message = 'String contains an invalid character';\n}\n\nE.prototype = new Error();\nE.prototype.code = 5;\nE.prototype.name = 'InvalidCharacterError';\n\nfunction btoa(input) {\n  var str = String(input);\n  var output = '';\n\n  for ( // initialize result and counter\n  var block, charCode, idx = 0, map = chars; // if the next str index does not exist:\n  //   change the mapping table to \"=\"\n  //   check if d has no fractional digits\n  str.charAt(idx | 0) || (map = '=', idx % 1); // \"8 - idx % 1 * 8\" generates the sequence 2, 4, 6, 8\n  output += map.charAt(63 & block >> 8 - idx % 1 * 8)) {\n    charCode = str.charCodeAt(idx += 3 / 4);\n\n    if (charCode > 0xFF) {\n      throw new E();\n    }\n\n    block = block << 8 | charCode;\n  }\n\n  return output;\n}\n\nmodule.exports = btoa;","'use strict';\n\nvar utils = require('./../utils');\n\nmodule.exports = utils.isStandardBrowserEnv() ? // Standard browser envs support document.cookie\nfunction standardBrowserEnv() {\n  return {\n    write: function write(name, value, expires, path, domain, secure) {\n      var cookie = [];\n      cookie.push(name + '=' + encodeURIComponent(value));\n\n      if (utils.isNumber(expires)) {\n        cookie.push('expires=' + new Date(expires).toGMTString());\n      }\n\n      if (utils.isString(path)) {\n        cookie.push('path=' + path);\n      }\n\n      if (utils.isString(domain)) {\n        cookie.push('domain=' + domain);\n      }\n\n      if (secure === true) {\n        cookie.push('secure');\n      }\n\n      document.cookie = cookie.join('; ');\n    },\n    read: function read(name) {\n      var match = document.cookie.match(new RegExp('(^|;\\\\s*)(' + name + ')=([^;]*)'));\n      return match ? decodeURIComponent(match[3]) : null;\n    },\n    remove: function remove(name) {\n      this.write(name, '', Date.now() - 86400000);\n    }\n  };\n}() : // Non standard browser env (web workers, react-native) lack needed support.\nfunction nonStandardBrowserEnv() {\n  return {\n    write: function write() {},\n    read: function read() {\n      return null;\n    },\n    remove: function remove() {}\n  };\n}();","'use strict';\n\nvar utils = require('./../utils');\n\nfunction InterceptorManager() {\n  this.handlers = [];\n}\n/**\n * Add a new interceptor to the stack\n *\n * @param {Function} fulfilled The function to handle `then` for a `Promise`\n * @param {Function} rejected The function to handle `reject` for a `Promise`\n *\n * @return {Number} An ID used to remove interceptor later\n */\n\n\nInterceptorManager.prototype.use = function use(fulfilled, rejected) {\n  this.handlers.push({\n    fulfilled: fulfilled,\n    rejected: rejected\n  });\n  return this.handlers.length - 1;\n};\n/**\n * Remove an interceptor from the stack\n *\n * @param {Number} id The ID that was returned by `use`\n */\n\n\nInterceptorManager.prototype.eject = function eject(id) {\n  if (this.handlers[id]) {\n    this.handlers[id] = null;\n  }\n};\n/**\n * Iterate over all the registered interceptors\n *\n * This method is particularly useful for skipping over any\n * interceptors that may have become `null` calling `eject`.\n *\n * @param {Function} fn The function to call for each interceptor\n */\n\n\nInterceptorManager.prototype.forEach = function forEach(fn) {\n  utils.forEach(this.handlers, function forEachHandler(h) {\n    if (h !== null) {\n      fn(h);\n    }\n  });\n};\n\nmodule.exports = InterceptorManager;","'use strict';\n\nvar utils = require('./../utils');\n\nvar transformData = require('./transformData');\n\nvar isCancel = require('../cancel/isCancel');\n\nvar defaults = require('../defaults');\n\nvar isAbsoluteURL = require('./../helpers/isAbsoluteURL');\n\nvar combineURLs = require('./../helpers/combineURLs');\n/**\n * Throws a `Cancel` if cancellation has been requested.\n */\n\n\nfunction throwIfCancellationRequested(config) {\n  if (config.cancelToken) {\n    config.cancelToken.throwIfRequested();\n  }\n}\n/**\n * Dispatch a request to the server using the configured adapter.\n *\n * @param {object} config The config that is to be used for the request\n * @returns {Promise} The Promise to be fulfilled\n */\n\n\nmodule.exports = function dispatchRequest(config) {\n  throwIfCancellationRequested(config); // Support baseURL config\n\n  if (config.baseURL && !isAbsoluteURL(config.url)) {\n    config.url = combineURLs(config.baseURL, config.url);\n  } // Ensure headers exist\n\n\n  config.headers = config.headers || {}; // Transform request data\n\n  config.data = transformData(config.data, config.headers, config.transformRequest); // Flatten headers\n\n  config.headers = utils.merge(config.headers.common || {}, config.headers[config.method] || {}, config.headers || {});\n  utils.forEach(['delete', 'get', 'head', 'post', 'put', 'patch', 'common'], function cleanHeaderConfig(method) {\n    delete config.headers[method];\n  });\n  var adapter = config.adapter || defaults.adapter;\n  return adapter(config).then(function onAdapterResolution(response) {\n    throwIfCancellationRequested(config); // Transform response data\n\n    response.data = transformData(response.data, response.headers, config.transformResponse);\n    return response;\n  }, function onAdapterRejection(reason) {\n    if (!isCancel(reason)) {\n      throwIfCancellationRequested(config); // Transform response data\n\n      if (reason && reason.response) {\n        reason.response.data = transformData(reason.response.data, reason.response.headers, config.transformResponse);\n      }\n    }\n\n    return Promise.reject(reason);\n  });\n};","'use strict';\n\nvar utils = require('./../utils');\n/**\n * Transform the data for a request or a response\n *\n * @param {Object|String} data The data to be transformed\n * @param {Array} headers The headers for the request or response\n * @param {Array|Function} fns A single function or Array of functions\n * @returns {*} The resulting transformed data\n */\n\n\nmodule.exports = function transformData(data, headers, fns) {\n  /*eslint no-param-reassign:0*/\n  utils.forEach(fns, function transform(fn) {\n    data = fn(data, headers);\n  });\n  return data;\n};","'use strict';\n/**\n * Determines whether the specified URL is absolute\n *\n * @param {string} url The URL to test\n * @returns {boolean} True if the specified URL is absolute, otherwise false\n */\n\nmodule.exports = function isAbsoluteURL(url) {\n  // A URL is considered absolute if it begins with \"<scheme>://\" or \"//\" (protocol-relative URL).\n  // RFC 3986 defines scheme name as a sequence of characters beginning with a letter and followed\n  // by any combination of letters, digits, plus, period, or hyphen.\n  return /^([a-z][a-z\\d\\+\\-\\.]*:)?\\/\\//i.test(url);\n};","'use strict';\n/**\n * Creates a new URL by combining the specified URLs\n *\n * @param {string} baseURL The base URL\n * @param {string} relativeURL The relative URL\n * @returns {string} The combined URL\n */\n\nmodule.exports = function combineURLs(baseURL, relativeURL) {\n  return relativeURL ? baseURL.replace(/\\/+$/, '') + '/' + relativeURL.replace(/^\\/+/, '') : baseURL;\n};","'use strict';\n\nvar Cancel = require('./Cancel');\n/**\n * A `CancelToken` is an object that can be used to request cancellation of an operation.\n *\n * @class\n * @param {Function} executor The executor function.\n */\n\n\nfunction CancelToken(executor) {\n  if (typeof executor !== 'function') {\n    throw new TypeError('executor must be a function.');\n  }\n\n  var resolvePromise;\n  this.promise = new Promise(function promiseExecutor(resolve) {\n    resolvePromise = resolve;\n  });\n  var token = this;\n  executor(function cancel(message) {\n    if (token.reason) {\n      // Cancellation has already been requested\n      return;\n    }\n\n    token.reason = new Cancel(message);\n    resolvePromise(token.reason);\n  });\n}\n/**\n * Throws a `Cancel` if cancellation has been requested.\n */\n\n\nCancelToken.prototype.throwIfRequested = function throwIfRequested() {\n  if (this.reason) {\n    throw this.reason;\n  }\n};\n/**\n * Returns an object that contains a new `CancelToken` and a function that, when called,\n * cancels the `CancelToken`.\n */\n\n\nCancelToken.source = function source() {\n  var cancel;\n  var token = new CancelToken(function executor(c) {\n    cancel = c;\n  });\n  return {\n    token: token,\n    cancel: cancel\n  };\n};\n\nmodule.exports = CancelToken;","'use strict';\n/**\n * Syntactic sugar for invoking a function and expanding an array for arguments.\n *\n * Common use case would be to use `Function.prototype.apply`.\n *\n *  ```js\n *  function f(x, y, z) {}\n *  var args = [1, 2, 3];\n *  f.apply(null, args);\n *  ```\n *\n * With `spread` this example can be re-written.\n *\n *  ```js\n *  spread(function(x, y, z) {})([1, 2, 3]);\n *  ```\n *\n * @param {Function} callback\n * @returns {Function}\n */\n\nmodule.exports = function spread(callback) {\n  return function wrap(arr) {\n    return callback.apply(null, arr);\n  };\n};","\"use strict\";\n\nObject.defineProperty(exports, \"__esModule\", {\n  value: true\n});\n\nvar localstorage_1 = require(\"./localstorage\");\n\nvar ENV = typeof window !== 'undefined' ? window : typeof global !== 'undefined' ? global : undefined;\nvar localstorage = new localstorage_1.LocalStorage(ENV);\n\nif (process.env.NODE_ENV !== 'production') {\n  if (!localstorage.supported) {\n    console.warn(\"You environment doesn't support localStorage\");\n  }\n}\n\nexports.default = localstorage;","\"use strict\";\n\nvar __values = this && this.__values || function (o) {\n  var m = typeof Symbol === \"function\" && o[Symbol.iterator],\n      i = 0;\n  if (m) return m.call(o);\n  return {\n    next: function next() {\n      if (o && i >= o.length) o = void 0;\n      return {\n        value: o && o[i++],\n        done: !o\n      };\n    }\n  };\n};\n\nObject.defineProperty(exports, \"__esModule\", {\n  value: true\n});\n\nvar LocalStorage =\n/** @class */\nfunction () {\n  function LocalStorage(window, storage) {\n    var _this = this;\n\n    this._events = {};\n\n    if (window) {\n      this.supported = true;\n    } else {\n      this.supported = false;\n      window = new Window();\n    }\n\n    this.storage = storage || window.localStorage;\n    listen(window, function (_a) {\n      var key = _a.key,\n          newValue = _a.newValue;\n      if (!key) return;\n\n      _this.feed(key, newValue);\n    });\n  }\n\n  Object.defineProperty(LocalStorage.prototype, \"length\", {\n    get: function get() {\n      return this.storage.length;\n    },\n    enumerable: true,\n    configurable: true\n  });\n\n  LocalStorage.prototype.key = function (index) {\n    return this.storage.key(index);\n  };\n\n  LocalStorage.prototype.getItem = function (key) {\n    return this.storage.getItem(key);\n  };\n\n  LocalStorage.prototype.setItem = function (key, value) {\n    this.storage.setItem(key, value);\n    this.emit('change', key, value);\n  };\n\n  LocalStorage.prototype.removeItem = function (key) {\n    this.storage.removeItem(key);\n    this.emit('change', key, null);\n  };\n\n  LocalStorage.prototype.clear = function () {\n    this.storage.clear();\n  };\n\n  LocalStorage.prototype.on = function (name, fn) {\n    var set = this._events[name];\n\n    if (!set) {\n      this._events[name] = set = new Set();\n    }\n\n    set.add(fn);\n  };\n\n  LocalStorage.prototype.off = function (name, fn) {\n    var set = this._events[name];\n\n    if (set) {\n      set.delete(fn);\n    }\n  };\n\n  LocalStorage.prototype.feed = function (key, newValue) {\n    this.emit('change', key, newValue);\n  };\n\n  LocalStorage.prototype.emit = function (name) {\n    var args = [];\n\n    for (var _i = 1; _i < arguments.length; _i++) {\n      args[_i - 1] = arguments[_i];\n    }\n\n    var e_1, _a;\n\n    var set = this._events[name];\n\n    if (set) {\n      try {\n        for (var _b = __values(set.values()), _c = _b.next(); !_c.done; _c = _b.next()) {\n          var fn = _c.value;\n          fn.apply(null, args);\n        }\n      } catch (e_1_1) {\n        e_1 = {\n          error: e_1_1\n        };\n      } finally {\n        try {\n          if (_c && !_c.done && (_a = _b.return)) _a.call(_b);\n        } finally {\n          if (e_1) throw e_1.error;\n        }\n      }\n    }\n  };\n\n  return LocalStorage;\n}();\n\nexports.LocalStorage = LocalStorage;\n\nfunction listen(target, cb) {\n  if (target.addEventListener) {\n    target.addEventListener('storage', cb, true);\n  } else if (target.attachEvent) {\n    target.attachEvent('storage', cb);\n  } else {\n    return false;\n  }\n\n  return true;\n}\n\nexports.listen = listen;","/**\n * Copyright (c) 2013-present, Facebook, Inc.\n *\n * This source code is licensed under the MIT license found in the\n * LICENSE file in the root directory of this source tree.\n */\n'use strict';\n\nvar ReactPropTypesSecret = require('./lib/ReactPropTypesSecret');\n\nfunction emptyFunction() {}\n\nmodule.exports = function () {\n  function shim(props, propName, componentName, location, propFullName, secret) {\n    if (secret === ReactPropTypesSecret) {\n      // It is still safe when called from React.\n      return;\n    }\n\n    var err = new Error('Calling PropTypes validators directly is not supported by the `prop-types` package. ' + 'Use PropTypes.checkPropTypes() to call them. ' + 'Read more at http://fb.me/use-check-prop-types');\n    err.name = 'Invariant Violation';\n    throw err;\n  }\n\n  ;\n  shim.isRequired = shim;\n\n  function getShim() {\n    return shim;\n  }\n\n  ; // Important!\n  // Keep this list in sync with production version in `./factoryWithTypeCheckers.js`.\n\n  var ReactPropTypes = {\n    array: shim,\n    bool: shim,\n    func: shim,\n    number: shim,\n    object: shim,\n    string: shim,\n    symbol: shim,\n    any: shim,\n    arrayOf: getShim,\n    element: shim,\n    instanceOf: getShim,\n    node: shim,\n    objectOf: getShim,\n    oneOf: getShim,\n    oneOfType: getShim,\n    shape: getShim,\n    exact: getShim\n  };\n  ReactPropTypes.checkPropTypes = emptyFunction;\n  ReactPropTypes.PropTypes = ReactPropTypes;\n  return ReactPropTypes;\n};","/**\n * Copyright (c) 2013-present, Facebook, Inc.\n *\n * This source code is licensed under the MIT license found in the\n * LICENSE file in the root directory of this source tree.\n */\n'use strict';\n\nvar ReactPropTypesSecret = 'SECRET_DO_NOT_PASS_THIS_OR_YOU_WILL_BE_FIRED';\nmodule.exports = ReactPropTypesSecret;","/*!\n * The buffer module from node.js, for the browser.\n *\n * @author   Feross Aboukhadijeh <feross@feross.org> <http://feross.org>\n * @license  MIT\n */\n\n/* eslint-disable no-proto */\n'use strict';\n\nvar base64 = require('base64-js');\n\nvar ieee754 = require('ieee754');\n\nvar isArray = require('isarray');\n\nexports.Buffer = Buffer;\nexports.SlowBuffer = SlowBuffer;\nexports.INSPECT_MAX_BYTES = 50;\n/**\n * If `Buffer.TYPED_ARRAY_SUPPORT`:\n *   === true    Use Uint8Array implementation (fastest)\n *   === false   Use Object implementation (most compatible, even IE6)\n *\n * Browsers that support typed arrays are IE 10+, Firefox 4+, Chrome 7+, Safari 5.1+,\n * Opera 11.6+, iOS 4.2+.\n *\n * Due to various browser bugs, sometimes the Object implementation will be used even\n * when the browser supports typed arrays.\n *\n * Note:\n *\n *   - Firefox 4-29 lacks support for adding new properties to `Uint8Array` instances,\n *     See: https://bugzilla.mozilla.org/show_bug.cgi?id=695438.\n *\n *   - Chrome 9-10 is missing the `TypedArray.prototype.subarray` function.\n *\n *   - IE10 has a broken `TypedArray.prototype.subarray` function which returns arrays of\n *     incorrect length in some situations.\n\n * We detect these buggy browsers and set `Buffer.TYPED_ARRAY_SUPPORT` to `false` so they\n * get the Object implementation, which is slower but behaves correctly.\n */\n\nBuffer.TYPED_ARRAY_SUPPORT = global.TYPED_ARRAY_SUPPORT !== undefined ? global.TYPED_ARRAY_SUPPORT : typedArraySupport();\n/*\n * Export kMaxLength after typed array support is determined.\n */\n\nexports.kMaxLength = kMaxLength();\n\nfunction typedArraySupport() {\n  try {\n    var arr = new Uint8Array(1);\n    arr.__proto__ = {\n      __proto__: Uint8Array.prototype,\n      foo: function foo() {\n        return 42;\n      }\n    };\n    return arr.foo() === 42 && // typed array instances can be augmented\n    typeof arr.subarray === 'function' && // chrome 9-10 lack `subarray`\n    arr.subarray(1, 1).byteLength === 0; // ie10 has broken `subarray`\n  } catch (e) {\n    return false;\n  }\n}\n\nfunction kMaxLength() {\n  return Buffer.TYPED_ARRAY_SUPPORT ? 0x7fffffff : 0x3fffffff;\n}\n\nfunction createBuffer(that, length) {\n  if (kMaxLength() < length) {\n    throw new RangeError('Invalid typed array length');\n  }\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    // Return an augmented `Uint8Array` instance, for best performance\n    that = new Uint8Array(length);\n    that.__proto__ = Buffer.prototype;\n  } else {\n    // Fallback: Return an object instance of the Buffer class\n    if (that === null) {\n      that = new Buffer(length);\n    }\n\n    that.length = length;\n  }\n\n  return that;\n}\n/**\n * The Buffer constructor returns instances of `Uint8Array` that have their\n * prototype changed to `Buffer.prototype`. Furthermore, `Buffer` is a subclass of\n * `Uint8Array`, so the returned instances will have all the node `Buffer` methods\n * and the `Uint8Array` methods. Square bracket notation works as expected -- it\n * returns a single octet.\n *\n * The `Uint8Array` prototype remains unmodified.\n */\n\n\nfunction Buffer(arg, encodingOrOffset, length) {\n  if (!Buffer.TYPED_ARRAY_SUPPORT && !(this instanceof Buffer)) {\n    return new Buffer(arg, encodingOrOffset, length);\n  } // Common case.\n\n\n  if (typeof arg === 'number') {\n    if (typeof encodingOrOffset === 'string') {\n      throw new Error('If encoding is specified then the first argument must be a string');\n    }\n\n    return allocUnsafe(this, arg);\n  }\n\n  return from(this, arg, encodingOrOffset, length);\n}\n\nBuffer.poolSize = 8192; // not used by this implementation\n// TODO: Legacy, not needed anymore. Remove in next major version.\n\nBuffer._augment = function (arr) {\n  arr.__proto__ = Buffer.prototype;\n  return arr;\n};\n\nfunction from(that, value, encodingOrOffset, length) {\n  if (typeof value === 'number') {\n    throw new TypeError('\"value\" argument must not be a number');\n  }\n\n  if (typeof ArrayBuffer !== 'undefined' && value instanceof ArrayBuffer) {\n    return fromArrayBuffer(that, value, encodingOrOffset, length);\n  }\n\n  if (typeof value === 'string') {\n    return fromString(that, value, encodingOrOffset);\n  }\n\n  return fromObject(that, value);\n}\n/**\n * Functionally equivalent to Buffer(arg, encoding) but throws a TypeError\n * if value is a number.\n * Buffer.from(str[, encoding])\n * Buffer.from(array)\n * Buffer.from(buffer)\n * Buffer.from(arrayBuffer[, byteOffset[, length]])\n **/\n\n\nBuffer.from = function (value, encodingOrOffset, length) {\n  return from(null, value, encodingOrOffset, length);\n};\n\nif (Buffer.TYPED_ARRAY_SUPPORT) {\n  Buffer.prototype.__proto__ = Uint8Array.prototype;\n  Buffer.__proto__ = Uint8Array;\n\n  if (typeof Symbol !== 'undefined' && Symbol.species && Buffer[Symbol.species] === Buffer) {\n    // Fix subarray() in ES2016. See: https://github.com/feross/buffer/pull/97\n    Object.defineProperty(Buffer, Symbol.species, {\n      value: null,\n      configurable: true\n    });\n  }\n}\n\nfunction assertSize(size) {\n  if (typeof size !== 'number') {\n    throw new TypeError('\"size\" argument must be a number');\n  } else if (size < 0) {\n    throw new RangeError('\"size\" argument must not be negative');\n  }\n}\n\nfunction alloc(that, size, fill, encoding) {\n  assertSize(size);\n\n  if (size <= 0) {\n    return createBuffer(that, size);\n  }\n\n  if (fill !== undefined) {\n    // Only pay attention to encoding if it's a string. This\n    // prevents accidentally sending in a number that would\n    // be interpretted as a start offset.\n    return typeof encoding === 'string' ? createBuffer(that, size).fill(fill, encoding) : createBuffer(that, size).fill(fill);\n  }\n\n  return createBuffer(that, size);\n}\n/**\n * Creates a new filled Buffer instance.\n * alloc(size[, fill[, encoding]])\n **/\n\n\nBuffer.alloc = function (size, fill, encoding) {\n  return alloc(null, size, fill, encoding);\n};\n\nfunction allocUnsafe(that, size) {\n  assertSize(size);\n  that = createBuffer(that, size < 0 ? 0 : checked(size) | 0);\n\n  if (!Buffer.TYPED_ARRAY_SUPPORT) {\n    for (var i = 0; i < size; ++i) {\n      that[i] = 0;\n    }\n  }\n\n  return that;\n}\n/**\n * Equivalent to Buffer(num), by default creates a non-zero-filled Buffer instance.\n * */\n\n\nBuffer.allocUnsafe = function (size) {\n  return allocUnsafe(null, size);\n};\n/**\n * Equivalent to SlowBuffer(num), by default creates a non-zero-filled Buffer instance.\n */\n\n\nBuffer.allocUnsafeSlow = function (size) {\n  return allocUnsafe(null, size);\n};\n\nfunction fromString(that, string, encoding) {\n  if (typeof encoding !== 'string' || encoding === '') {\n    encoding = 'utf8';\n  }\n\n  if (!Buffer.isEncoding(encoding)) {\n    throw new TypeError('\"encoding\" must be a valid string encoding');\n  }\n\n  var length = byteLength(string, encoding) | 0;\n  that = createBuffer(that, length);\n  var actual = that.write(string, encoding);\n\n  if (actual !== length) {\n    // Writing a hex string, for example, that contains invalid characters will\n    // cause everything after the first invalid character to be ignored. (e.g.\n    // 'abxxcd' will be treated as 'ab')\n    that = that.slice(0, actual);\n  }\n\n  return that;\n}\n\nfunction fromArrayLike(that, array) {\n  var length = array.length < 0 ? 0 : checked(array.length) | 0;\n  that = createBuffer(that, length);\n\n  for (var i = 0; i < length; i += 1) {\n    that[i] = array[i] & 255;\n  }\n\n  return that;\n}\n\nfunction fromArrayBuffer(that, array, byteOffset, length) {\n  array.byteLength; // this throws if `array` is not a valid ArrayBuffer\n\n  if (byteOffset < 0 || array.byteLength < byteOffset) {\n    throw new RangeError('\\'offset\\' is out of bounds');\n  }\n\n  if (array.byteLength < byteOffset + (length || 0)) {\n    throw new RangeError('\\'length\\' is out of bounds');\n  }\n\n  if (byteOffset === undefined && length === undefined) {\n    array = new Uint8Array(array);\n  } else if (length === undefined) {\n    array = new Uint8Array(array, byteOffset);\n  } else {\n    array = new Uint8Array(array, byteOffset, length);\n  }\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    // Return an augmented `Uint8Array` instance, for best performance\n    that = array;\n    that.__proto__ = Buffer.prototype;\n  } else {\n    // Fallback: Return an object instance of the Buffer class\n    that = fromArrayLike(that, array);\n  }\n\n  return that;\n}\n\nfunction fromObject(that, obj) {\n  if (Buffer.isBuffer(obj)) {\n    var len = checked(obj.length) | 0;\n    that = createBuffer(that, len);\n\n    if (that.length === 0) {\n      return that;\n    }\n\n    obj.copy(that, 0, 0, len);\n    return that;\n  }\n\n  if (obj) {\n    if (typeof ArrayBuffer !== 'undefined' && obj.buffer instanceof ArrayBuffer || 'length' in obj) {\n      if (typeof obj.length !== 'number' || isnan(obj.length)) {\n        return createBuffer(that, 0);\n      }\n\n      return fromArrayLike(that, obj);\n    }\n\n    if (obj.type === 'Buffer' && isArray(obj.data)) {\n      return fromArrayLike(that, obj.data);\n    }\n  }\n\n  throw new TypeError('First argument must be a string, Buffer, ArrayBuffer, Array, or array-like object.');\n}\n\nfunction checked(length) {\n  // Note: cannot use `length < kMaxLength()` here because that fails when\n  // length is NaN (which is otherwise coerced to zero.)\n  if (length >= kMaxLength()) {\n    throw new RangeError('Attempt to allocate Buffer larger than maximum ' + 'size: 0x' + kMaxLength().toString(16) + ' bytes');\n  }\n\n  return length | 0;\n}\n\nfunction SlowBuffer(length) {\n  if (+length != length) {\n    // eslint-disable-line eqeqeq\n    length = 0;\n  }\n\n  return Buffer.alloc(+length);\n}\n\nBuffer.isBuffer = function isBuffer(b) {\n  return !!(b != null && b._isBuffer);\n};\n\nBuffer.compare = function compare(a, b) {\n  if (!Buffer.isBuffer(a) || !Buffer.isBuffer(b)) {\n    throw new TypeError('Arguments must be Buffers');\n  }\n\n  if (a === b) return 0;\n  var x = a.length;\n  var y = b.length;\n\n  for (var i = 0, len = Math.min(x, y); i < len; ++i) {\n    if (a[i] !== b[i]) {\n      x = a[i];\n      y = b[i];\n      break;\n    }\n  }\n\n  if (x < y) return -1;\n  if (y < x) return 1;\n  return 0;\n};\n\nBuffer.isEncoding = function isEncoding(encoding) {\n  switch (String(encoding).toLowerCase()) {\n    case 'hex':\n    case 'utf8':\n    case 'utf-8':\n    case 'ascii':\n    case 'latin1':\n    case 'binary':\n    case 'base64':\n    case 'ucs2':\n    case 'ucs-2':\n    case 'utf16le':\n    case 'utf-16le':\n      return true;\n\n    default:\n      return false;\n  }\n};\n\nBuffer.concat = function concat(list, length) {\n  if (!isArray(list)) {\n    throw new TypeError('\"list\" argument must be an Array of Buffers');\n  }\n\n  if (list.length === 0) {\n    return Buffer.alloc(0);\n  }\n\n  var i;\n\n  if (length === undefined) {\n    length = 0;\n\n    for (i = 0; i < list.length; ++i) {\n      length += list[i].length;\n    }\n  }\n\n  var buffer = Buffer.allocUnsafe(length);\n  var pos = 0;\n\n  for (i = 0; i < list.length; ++i) {\n    var buf = list[i];\n\n    if (!Buffer.isBuffer(buf)) {\n      throw new TypeError('\"list\" argument must be an Array of Buffers');\n    }\n\n    buf.copy(buffer, pos);\n    pos += buf.length;\n  }\n\n  return buffer;\n};\n\nfunction byteLength(string, encoding) {\n  if (Buffer.isBuffer(string)) {\n    return string.length;\n  }\n\n  if (typeof ArrayBuffer !== 'undefined' && typeof ArrayBuffer.isView === 'function' && (ArrayBuffer.isView(string) || string instanceof ArrayBuffer)) {\n    return string.byteLength;\n  }\n\n  if (typeof string !== 'string') {\n    string = '' + string;\n  }\n\n  var len = string.length;\n  if (len === 0) return 0; // Use a for loop to avoid recursion\n\n  var loweredCase = false;\n\n  for (;;) {\n    switch (encoding) {\n      case 'ascii':\n      case 'latin1':\n      case 'binary':\n        return len;\n\n      case 'utf8':\n      case 'utf-8':\n      case undefined:\n        return utf8ToBytes(string).length;\n\n      case 'ucs2':\n      case 'ucs-2':\n      case 'utf16le':\n      case 'utf-16le':\n        return len * 2;\n\n      case 'hex':\n        return len >>> 1;\n\n      case 'base64':\n        return base64ToBytes(string).length;\n\n      default:\n        if (loweredCase) return utf8ToBytes(string).length; // assume utf8\n\n        encoding = ('' + encoding).toLowerCase();\n        loweredCase = true;\n    }\n  }\n}\n\nBuffer.byteLength = byteLength;\n\nfunction slowToString(encoding, start, end) {\n  var loweredCase = false; // No need to verify that \"this.length <= MAX_UINT32\" since it's a read-only\n  // property of a typed array.\n  // This behaves neither like String nor Uint8Array in that we set start/end\n  // to their upper/lower bounds if the value passed is out of range.\n  // undefined is handled specially as per ECMA-262 6th Edition,\n  // Section 13.3.3.7 Runtime Semantics: KeyedBindingInitialization.\n\n  if (start === undefined || start < 0) {\n    start = 0;\n  } // Return early if start > this.length. Done here to prevent potential uint32\n  // coercion fail below.\n\n\n  if (start > this.length) {\n    return '';\n  }\n\n  if (end === undefined || end > this.length) {\n    end = this.length;\n  }\n\n  if (end <= 0) {\n    return '';\n  } // Force coersion to uint32. This will also coerce falsey/NaN values to 0.\n\n\n  end >>>= 0;\n  start >>>= 0;\n\n  if (end <= start) {\n    return '';\n  }\n\n  if (!encoding) encoding = 'utf8';\n\n  while (true) {\n    switch (encoding) {\n      case 'hex':\n        return hexSlice(this, start, end);\n\n      case 'utf8':\n      case 'utf-8':\n        return utf8Slice(this, start, end);\n\n      case 'ascii':\n        return asciiSlice(this, start, end);\n\n      case 'latin1':\n      case 'binary':\n        return latin1Slice(this, start, end);\n\n      case 'base64':\n        return base64Slice(this, start, end);\n\n      case 'ucs2':\n      case 'ucs-2':\n      case 'utf16le':\n      case 'utf-16le':\n        return utf16leSlice(this, start, end);\n\n      default:\n        if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding);\n        encoding = (encoding + '').toLowerCase();\n        loweredCase = true;\n    }\n  }\n} // The property is used by `Buffer.isBuffer` and `is-buffer` (in Safari 5-7) to detect\n// Buffer instances.\n\n\nBuffer.prototype._isBuffer = true;\n\nfunction swap(b, n, m) {\n  var i = b[n];\n  b[n] = b[m];\n  b[m] = i;\n}\n\nBuffer.prototype.swap16 = function swap16() {\n  var len = this.length;\n\n  if (len % 2 !== 0) {\n    throw new RangeError('Buffer size must be a multiple of 16-bits');\n  }\n\n  for (var i = 0; i < len; i += 2) {\n    swap(this, i, i + 1);\n  }\n\n  return this;\n};\n\nBuffer.prototype.swap32 = function swap32() {\n  var len = this.length;\n\n  if (len % 4 !== 0) {\n    throw new RangeError('Buffer size must be a multiple of 32-bits');\n  }\n\n  for (var i = 0; i < len; i += 4) {\n    swap(this, i, i + 3);\n    swap(this, i + 1, i + 2);\n  }\n\n  return this;\n};\n\nBuffer.prototype.swap64 = function swap64() {\n  var len = this.length;\n\n  if (len % 8 !== 0) {\n    throw new RangeError('Buffer size must be a multiple of 64-bits');\n  }\n\n  for (var i = 0; i < len; i += 8) {\n    swap(this, i, i + 7);\n    swap(this, i + 1, i + 6);\n    swap(this, i + 2, i + 5);\n    swap(this, i + 3, i + 4);\n  }\n\n  return this;\n};\n\nBuffer.prototype.toString = function toString() {\n  var length = this.length | 0;\n  if (length === 0) return '';\n  if (arguments.length === 0) return utf8Slice(this, 0, length);\n  return slowToString.apply(this, arguments);\n};\n\nBuffer.prototype.equals = function equals(b) {\n  if (!Buffer.isBuffer(b)) throw new TypeError('Argument must be a Buffer');\n  if (this === b) return true;\n  return Buffer.compare(this, b) === 0;\n};\n\nBuffer.prototype.inspect = function inspect() {\n  var str = '';\n  var max = exports.INSPECT_MAX_BYTES;\n\n  if (this.length > 0) {\n    str = this.toString('hex', 0, max).match(/.{2}/g).join(' ');\n    if (this.length > max) str += ' ... ';\n  }\n\n  return '<Buffer ' + str + '>';\n};\n\nBuffer.prototype.compare = function compare(target, start, end, thisStart, thisEnd) {\n  if (!Buffer.isBuffer(target)) {\n    throw new TypeError('Argument must be a Buffer');\n  }\n\n  if (start === undefined) {\n    start = 0;\n  }\n\n  if (end === undefined) {\n    end = target ? target.length : 0;\n  }\n\n  if (thisStart === undefined) {\n    thisStart = 0;\n  }\n\n  if (thisEnd === undefined) {\n    thisEnd = this.length;\n  }\n\n  if (start < 0 || end > target.length || thisStart < 0 || thisEnd > this.length) {\n    throw new RangeError('out of range index');\n  }\n\n  if (thisStart >= thisEnd && start >= end) {\n    return 0;\n  }\n\n  if (thisStart >= thisEnd) {\n    return -1;\n  }\n\n  if (start >= end) {\n    return 1;\n  }\n\n  start >>>= 0;\n  end >>>= 0;\n  thisStart >>>= 0;\n  thisEnd >>>= 0;\n  if (this === target) return 0;\n  var x = thisEnd - thisStart;\n  var y = end - start;\n  var len = Math.min(x, y);\n  var thisCopy = this.slice(thisStart, thisEnd);\n  var targetCopy = target.slice(start, end);\n\n  for (var i = 0; i < len; ++i) {\n    if (thisCopy[i] !== targetCopy[i]) {\n      x = thisCopy[i];\n      y = targetCopy[i];\n      break;\n    }\n  }\n\n  if (x < y) return -1;\n  if (y < x) return 1;\n  return 0;\n}; // Finds either the first index of `val` in `buffer` at offset >= `byteOffset`,\n// OR the last index of `val` in `buffer` at offset <= `byteOffset`.\n//\n// Arguments:\n// - buffer - a Buffer to search\n// - val - a string, Buffer, or number\n// - byteOffset - an index into `buffer`; will be clamped to an int32\n// - encoding - an optional encoding, relevant is val is a string\n// - dir - true for indexOf, false for lastIndexOf\n\n\nfunction bidirectionalIndexOf(buffer, val, byteOffset, encoding, dir) {\n  // Empty buffer means no match\n  if (buffer.length === 0) return -1; // Normalize byteOffset\n\n  if (typeof byteOffset === 'string') {\n    encoding = byteOffset;\n    byteOffset = 0;\n  } else if (byteOffset > 0x7fffffff) {\n    byteOffset = 0x7fffffff;\n  } else if (byteOffset < -0x80000000) {\n    byteOffset = -0x80000000;\n  }\n\n  byteOffset = +byteOffset; // Coerce to Number.\n\n  if (isNaN(byteOffset)) {\n    // byteOffset: it it's undefined, null, NaN, \"foo\", etc, search whole buffer\n    byteOffset = dir ? 0 : buffer.length - 1;\n  } // Normalize byteOffset: negative offsets start from the end of the buffer\n\n\n  if (byteOffset < 0) byteOffset = buffer.length + byteOffset;\n\n  if (byteOffset >= buffer.length) {\n    if (dir) return -1;else byteOffset = buffer.length - 1;\n  } else if (byteOffset < 0) {\n    if (dir) byteOffset = 0;else return -1;\n  } // Normalize val\n\n\n  if (typeof val === 'string') {\n    val = Buffer.from(val, encoding);\n  } // Finally, search either indexOf (if dir is true) or lastIndexOf\n\n\n  if (Buffer.isBuffer(val)) {\n    // Special case: looking for empty string/buffer always fails\n    if (val.length === 0) {\n      return -1;\n    }\n\n    return arrayIndexOf(buffer, val, byteOffset, encoding, dir);\n  } else if (typeof val === 'number') {\n    val = val & 0xFF; // Search for a byte value [0-255]\n\n    if (Buffer.TYPED_ARRAY_SUPPORT && typeof Uint8Array.prototype.indexOf === 'function') {\n      if (dir) {\n        return Uint8Array.prototype.indexOf.call(buffer, val, byteOffset);\n      } else {\n        return Uint8Array.prototype.lastIndexOf.call(buffer, val, byteOffset);\n      }\n    }\n\n    return arrayIndexOf(buffer, [val], byteOffset, encoding, dir);\n  }\n\n  throw new TypeError('val must be string, number or Buffer');\n}\n\nfunction arrayIndexOf(arr, val, byteOffset, encoding, dir) {\n  var indexSize = 1;\n  var arrLength = arr.length;\n  var valLength = val.length;\n\n  if (encoding !== undefined) {\n    encoding = String(encoding).toLowerCase();\n\n    if (encoding === 'ucs2' || encoding === 'ucs-2' || encoding === 'utf16le' || encoding === 'utf-16le') {\n      if (arr.length < 2 || val.length < 2) {\n        return -1;\n      }\n\n      indexSize = 2;\n      arrLength /= 2;\n      valLength /= 2;\n      byteOffset /= 2;\n    }\n  }\n\n  function read(buf, i) {\n    if (indexSize === 1) {\n      return buf[i];\n    } else {\n      return buf.readUInt16BE(i * indexSize);\n    }\n  }\n\n  var i;\n\n  if (dir) {\n    var foundIndex = -1;\n\n    for (i = byteOffset; i < arrLength; i++) {\n      if (read(arr, i) === read(val, foundIndex === -1 ? 0 : i - foundIndex)) {\n        if (foundIndex === -1) foundIndex = i;\n        if (i - foundIndex + 1 === valLength) return foundIndex * indexSize;\n      } else {\n        if (foundIndex !== -1) i -= i - foundIndex;\n        foundIndex = -1;\n      }\n    }\n  } else {\n    if (byteOffset + valLength > arrLength) byteOffset = arrLength - valLength;\n\n    for (i = byteOffset; i >= 0; i--) {\n      var found = true;\n\n      for (var j = 0; j < valLength; j++) {\n        if (read(arr, i + j) !== read(val, j)) {\n          found = false;\n          break;\n        }\n      }\n\n      if (found) return i;\n    }\n  }\n\n  return -1;\n}\n\nBuffer.prototype.includes = function includes(val, byteOffset, encoding) {\n  return this.indexOf(val, byteOffset, encoding) !== -1;\n};\n\nBuffer.prototype.indexOf = function indexOf(val, byteOffset, encoding) {\n  return bidirectionalIndexOf(this, val, byteOffset, encoding, true);\n};\n\nBuffer.prototype.lastIndexOf = function lastIndexOf(val, byteOffset, encoding) {\n  return bidirectionalIndexOf(this, val, byteOffset, encoding, false);\n};\n\nfunction hexWrite(buf, string, offset, length) {\n  offset = Number(offset) || 0;\n  var remaining = buf.length - offset;\n\n  if (!length) {\n    length = remaining;\n  } else {\n    length = Number(length);\n\n    if (length > remaining) {\n      length = remaining;\n    }\n  } // must be an even number of digits\n\n\n  var strLen = string.length;\n  if (strLen % 2 !== 0) throw new TypeError('Invalid hex string');\n\n  if (length > strLen / 2) {\n    length = strLen / 2;\n  }\n\n  for (var i = 0; i < length; ++i) {\n    var parsed = parseInt(string.substr(i * 2, 2), 16);\n    if (isNaN(parsed)) return i;\n    buf[offset + i] = parsed;\n  }\n\n  return i;\n}\n\nfunction utf8Write(buf, string, offset, length) {\n  return blitBuffer(utf8ToBytes(string, buf.length - offset), buf, offset, length);\n}\n\nfunction asciiWrite(buf, string, offset, length) {\n  return blitBuffer(asciiToBytes(string), buf, offset, length);\n}\n\nfunction latin1Write(buf, string, offset, length) {\n  return asciiWrite(buf, string, offset, length);\n}\n\nfunction base64Write(buf, string, offset, length) {\n  return blitBuffer(base64ToBytes(string), buf, offset, length);\n}\n\nfunction ucs2Write(buf, string, offset, length) {\n  return blitBuffer(utf16leToBytes(string, buf.length - offset), buf, offset, length);\n}\n\nBuffer.prototype.write = function write(string, offset, length, encoding) {\n  // Buffer#write(string)\n  if (offset === undefined) {\n    encoding = 'utf8';\n    length = this.length;\n    offset = 0; // Buffer#write(string, encoding)\n  } else if (length === undefined && typeof offset === 'string') {\n    encoding = offset;\n    length = this.length;\n    offset = 0; // Buffer#write(string, offset[, length][, encoding])\n  } else if (isFinite(offset)) {\n    offset = offset | 0;\n\n    if (isFinite(length)) {\n      length = length | 0;\n      if (encoding === undefined) encoding = 'utf8';\n    } else {\n      encoding = length;\n      length = undefined;\n    } // legacy write(string, encoding, offset, length) - remove in v0.13\n\n  } else {\n    throw new Error('Buffer.write(string, encoding, offset[, length]) is no longer supported');\n  }\n\n  var remaining = this.length - offset;\n  if (length === undefined || length > remaining) length = remaining;\n\n  if (string.length > 0 && (length < 0 || offset < 0) || offset > this.length) {\n    throw new RangeError('Attempt to write outside buffer bounds');\n  }\n\n  if (!encoding) encoding = 'utf8';\n  var loweredCase = false;\n\n  for (;;) {\n    switch (encoding) {\n      case 'hex':\n        return hexWrite(this, string, offset, length);\n\n      case 'utf8':\n      case 'utf-8':\n        return utf8Write(this, string, offset, length);\n\n      case 'ascii':\n        return asciiWrite(this, string, offset, length);\n\n      case 'latin1':\n      case 'binary':\n        return latin1Write(this, string, offset, length);\n\n      case 'base64':\n        // Warning: maxLength not taken into account in base64Write\n        return base64Write(this, string, offset, length);\n\n      case 'ucs2':\n      case 'ucs-2':\n      case 'utf16le':\n      case 'utf-16le':\n        return ucs2Write(this, string, offset, length);\n\n      default:\n        if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding);\n        encoding = ('' + encoding).toLowerCase();\n        loweredCase = true;\n    }\n  }\n};\n\nBuffer.prototype.toJSON = function toJSON() {\n  return {\n    type: 'Buffer',\n    data: Array.prototype.slice.call(this._arr || this, 0)\n  };\n};\n\nfunction base64Slice(buf, start, end) {\n  if (start === 0 && end === buf.length) {\n    return base64.fromByteArray(buf);\n  } else {\n    return base64.fromByteArray(buf.slice(start, end));\n  }\n}\n\nfunction utf8Slice(buf, start, end) {\n  end = Math.min(buf.length, end);\n  var res = [];\n  var i = start;\n\n  while (i < end) {\n    var firstByte = buf[i];\n    var codePoint = null;\n    var bytesPerSequence = firstByte > 0xEF ? 4 : firstByte > 0xDF ? 3 : firstByte > 0xBF ? 2 : 1;\n\n    if (i + bytesPerSequence <= end) {\n      var secondByte, thirdByte, fourthByte, tempCodePoint;\n\n      switch (bytesPerSequence) {\n        case 1:\n          if (firstByte < 0x80) {\n            codePoint = firstByte;\n          }\n\n          break;\n\n        case 2:\n          secondByte = buf[i + 1];\n\n          if ((secondByte & 0xC0) === 0x80) {\n            tempCodePoint = (firstByte & 0x1F) << 0x6 | secondByte & 0x3F;\n\n            if (tempCodePoint > 0x7F) {\n              codePoint = tempCodePoint;\n            }\n          }\n\n          break;\n\n        case 3:\n          secondByte = buf[i + 1];\n          thirdByte = buf[i + 2];\n\n          if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80) {\n            tempCodePoint = (firstByte & 0xF) << 0xC | (secondByte & 0x3F) << 0x6 | thirdByte & 0x3F;\n\n            if (tempCodePoint > 0x7FF && (tempCodePoint < 0xD800 || tempCodePoint > 0xDFFF)) {\n              codePoint = tempCodePoint;\n            }\n          }\n\n          break;\n\n        case 4:\n          secondByte = buf[i + 1];\n          thirdByte = buf[i + 2];\n          fourthByte = buf[i + 3];\n\n          if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80 && (fourthByte & 0xC0) === 0x80) {\n            tempCodePoint = (firstByte & 0xF) << 0x12 | (secondByte & 0x3F) << 0xC | (thirdByte & 0x3F) << 0x6 | fourthByte & 0x3F;\n\n            if (tempCodePoint > 0xFFFF && tempCodePoint < 0x110000) {\n              codePoint = tempCodePoint;\n            }\n          }\n\n      }\n    }\n\n    if (codePoint === null) {\n      // we did not generate a valid codePoint so insert a\n      // replacement char (U+FFFD) and advance only 1 byte\n      codePoint = 0xFFFD;\n      bytesPerSequence = 1;\n    } else if (codePoint > 0xFFFF) {\n      // encode to utf16 (surrogate pair dance)\n      codePoint -= 0x10000;\n      res.push(codePoint >>> 10 & 0x3FF | 0xD800);\n      codePoint = 0xDC00 | codePoint & 0x3FF;\n    }\n\n    res.push(codePoint);\n    i += bytesPerSequence;\n  }\n\n  return decodeCodePointsArray(res);\n} // Based on http://stackoverflow.com/a/22747272/680742, the browser with\n// the lowest limit is Chrome, with 0x10000 args.\n// We go 1 magnitude less, for safety\n\n\nvar MAX_ARGUMENTS_LENGTH = 0x1000;\n\nfunction decodeCodePointsArray(codePoints) {\n  var len = codePoints.length;\n\n  if (len <= MAX_ARGUMENTS_LENGTH) {\n    return String.fromCharCode.apply(String, codePoints); // avoid extra slice()\n  } // Decode in chunks to avoid \"call stack size exceeded\".\n\n\n  var res = '';\n  var i = 0;\n\n  while (i < len) {\n    res += String.fromCharCode.apply(String, codePoints.slice(i, i += MAX_ARGUMENTS_LENGTH));\n  }\n\n  return res;\n}\n\nfunction asciiSlice(buf, start, end) {\n  var ret = '';\n  end = Math.min(buf.length, end);\n\n  for (var i = start; i < end; ++i) {\n    ret += String.fromCharCode(buf[i] & 0x7F);\n  }\n\n  return ret;\n}\n\nfunction latin1Slice(buf, start, end) {\n  var ret = '';\n  end = Math.min(buf.length, end);\n\n  for (var i = start; i < end; ++i) {\n    ret += String.fromCharCode(buf[i]);\n  }\n\n  return ret;\n}\n\nfunction hexSlice(buf, start, end) {\n  var len = buf.length;\n  if (!start || start < 0) start = 0;\n  if (!end || end < 0 || end > len) end = len;\n  var out = '';\n\n  for (var i = start; i < end; ++i) {\n    out += toHex(buf[i]);\n  }\n\n  return out;\n}\n\nfunction utf16leSlice(buf, start, end) {\n  var bytes = buf.slice(start, end);\n  var res = '';\n\n  for (var i = 0; i < bytes.length; i += 2) {\n    res += String.fromCharCode(bytes[i] + bytes[i + 1] * 256);\n  }\n\n  return res;\n}\n\nBuffer.prototype.slice = function slice(start, end) {\n  var len = this.length;\n  start = ~~start;\n  end = end === undefined ? len : ~~end;\n\n  if (start < 0) {\n    start += len;\n    if (start < 0) start = 0;\n  } else if (start > len) {\n    start = len;\n  }\n\n  if (end < 0) {\n    end += len;\n    if (end < 0) end = 0;\n  } else if (end > len) {\n    end = len;\n  }\n\n  if (end < start) end = start;\n  var newBuf;\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    newBuf = this.subarray(start, end);\n    newBuf.__proto__ = Buffer.prototype;\n  } else {\n    var sliceLen = end - start;\n    newBuf = new Buffer(sliceLen, undefined);\n\n    for (var i = 0; i < sliceLen; ++i) {\n      newBuf[i] = this[i + start];\n    }\n  }\n\n  return newBuf;\n};\n/*\n * Need to make sure that buffer isn't trying to write out of bounds.\n */\n\n\nfunction checkOffset(offset, ext, length) {\n  if (offset % 1 !== 0 || offset < 0) throw new RangeError('offset is not uint');\n  if (offset + ext > length) throw new RangeError('Trying to access beyond buffer length');\n}\n\nBuffer.prototype.readUIntLE = function readUIntLE(offset, byteLength, noAssert) {\n  offset = offset | 0;\n  byteLength = byteLength | 0;\n  if (!noAssert) checkOffset(offset, byteLength, this.length);\n  var val = this[offset];\n  var mul = 1;\n  var i = 0;\n\n  while (++i < byteLength && (mul *= 0x100)) {\n    val += this[offset + i] * mul;\n  }\n\n  return val;\n};\n\nBuffer.prototype.readUIntBE = function readUIntBE(offset, byteLength, noAssert) {\n  offset = offset | 0;\n  byteLength = byteLength | 0;\n\n  if (!noAssert) {\n    checkOffset(offset, byteLength, this.length);\n  }\n\n  var val = this[offset + --byteLength];\n  var mul = 1;\n\n  while (byteLength > 0 && (mul *= 0x100)) {\n    val += this[offset + --byteLength] * mul;\n  }\n\n  return val;\n};\n\nBuffer.prototype.readUInt8 = function readUInt8(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 1, this.length);\n  return this[offset];\n};\n\nBuffer.prototype.readUInt16LE = function readUInt16LE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 2, this.length);\n  return this[offset] | this[offset + 1] << 8;\n};\n\nBuffer.prototype.readUInt16BE = function readUInt16BE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 2, this.length);\n  return this[offset] << 8 | this[offset + 1];\n};\n\nBuffer.prototype.readUInt32LE = function readUInt32LE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 4, this.length);\n  return (this[offset] | this[offset + 1] << 8 | this[offset + 2] << 16) + this[offset + 3] * 0x1000000;\n};\n\nBuffer.prototype.readUInt32BE = function readUInt32BE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 4, this.length);\n  return this[offset] * 0x1000000 + (this[offset + 1] << 16 | this[offset + 2] << 8 | this[offset + 3]);\n};\n\nBuffer.prototype.readIntLE = function readIntLE(offset, byteLength, noAssert) {\n  offset = offset | 0;\n  byteLength = byteLength | 0;\n  if (!noAssert) checkOffset(offset, byteLength, this.length);\n  var val = this[offset];\n  var mul = 1;\n  var i = 0;\n\n  while (++i < byteLength && (mul *= 0x100)) {\n    val += this[offset + i] * mul;\n  }\n\n  mul *= 0x80;\n  if (val >= mul) val -= Math.pow(2, 8 * byteLength);\n  return val;\n};\n\nBuffer.prototype.readIntBE = function readIntBE(offset, byteLength, noAssert) {\n  offset = offset | 0;\n  byteLength = byteLength | 0;\n  if (!noAssert) checkOffset(offset, byteLength, this.length);\n  var i = byteLength;\n  var mul = 1;\n  var val = this[offset + --i];\n\n  while (i > 0 && (mul *= 0x100)) {\n    val += this[offset + --i] * mul;\n  }\n\n  mul *= 0x80;\n  if (val >= mul) val -= Math.pow(2, 8 * byteLength);\n  return val;\n};\n\nBuffer.prototype.readInt8 = function readInt8(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 1, this.length);\n  if (!(this[offset] & 0x80)) return this[offset];\n  return (0xff - this[offset] + 1) * -1;\n};\n\nBuffer.prototype.readInt16LE = function readInt16LE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 2, this.length);\n  var val = this[offset] | this[offset + 1] << 8;\n  return val & 0x8000 ? val | 0xFFFF0000 : val;\n};\n\nBuffer.prototype.readInt16BE = function readInt16BE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 2, this.length);\n  var val = this[offset + 1] | this[offset] << 8;\n  return val & 0x8000 ? val | 0xFFFF0000 : val;\n};\n\nBuffer.prototype.readInt32LE = function readInt32LE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 4, this.length);\n  return this[offset] | this[offset + 1] << 8 | this[offset + 2] << 16 | this[offset + 3] << 24;\n};\n\nBuffer.prototype.readInt32BE = function readInt32BE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 4, this.length);\n  return this[offset] << 24 | this[offset + 1] << 16 | this[offset + 2] << 8 | this[offset + 3];\n};\n\nBuffer.prototype.readFloatLE = function readFloatLE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 4, this.length);\n  return ieee754.read(this, offset, true, 23, 4);\n};\n\nBuffer.prototype.readFloatBE = function readFloatBE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 4, this.length);\n  return ieee754.read(this, offset, false, 23, 4);\n};\n\nBuffer.prototype.readDoubleLE = function readDoubleLE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 8, this.length);\n  return ieee754.read(this, offset, true, 52, 8);\n};\n\nBuffer.prototype.readDoubleBE = function readDoubleBE(offset, noAssert) {\n  if (!noAssert) checkOffset(offset, 8, this.length);\n  return ieee754.read(this, offset, false, 52, 8);\n};\n\nfunction checkInt(buf, value, offset, ext, max, min) {\n  if (!Buffer.isBuffer(buf)) throw new TypeError('\"buffer\" argument must be a Buffer instance');\n  if (value > max || value < min) throw new RangeError('\"value\" argument is out of bounds');\n  if (offset + ext > buf.length) throw new RangeError('Index out of range');\n}\n\nBuffer.prototype.writeUIntLE = function writeUIntLE(value, offset, byteLength, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  byteLength = byteLength | 0;\n\n  if (!noAssert) {\n    var maxBytes = Math.pow(2, 8 * byteLength) - 1;\n    checkInt(this, value, offset, byteLength, maxBytes, 0);\n  }\n\n  var mul = 1;\n  var i = 0;\n  this[offset] = value & 0xFF;\n\n  while (++i < byteLength && (mul *= 0x100)) {\n    this[offset + i] = value / mul & 0xFF;\n  }\n\n  return offset + byteLength;\n};\n\nBuffer.prototype.writeUIntBE = function writeUIntBE(value, offset, byteLength, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  byteLength = byteLength | 0;\n\n  if (!noAssert) {\n    var maxBytes = Math.pow(2, 8 * byteLength) - 1;\n    checkInt(this, value, offset, byteLength, maxBytes, 0);\n  }\n\n  var i = byteLength - 1;\n  var mul = 1;\n  this[offset + i] = value & 0xFF;\n\n  while (--i >= 0 && (mul *= 0x100)) {\n    this[offset + i] = value / mul & 0xFF;\n  }\n\n  return offset + byteLength;\n};\n\nBuffer.prototype.writeUInt8 = function writeUInt8(value, offset, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  if (!noAssert) checkInt(this, value, offset, 1, 0xff, 0);\n  if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value);\n  this[offset] = value & 0xff;\n  return offset + 1;\n};\n\nfunction objectWriteUInt16(buf, value, offset, littleEndian) {\n  if (value < 0) value = 0xffff + value + 1;\n\n  for (var i = 0, j = Math.min(buf.length - offset, 2); i < j; ++i) {\n    buf[offset + i] = (value & 0xff << 8 * (littleEndian ? i : 1 - i)) >>> (littleEndian ? i : 1 - i) * 8;\n  }\n}\n\nBuffer.prototype.writeUInt16LE = function writeUInt16LE(value, offset, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0);\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    this[offset] = value & 0xff;\n    this[offset + 1] = value >>> 8;\n  } else {\n    objectWriteUInt16(this, value, offset, true);\n  }\n\n  return offset + 2;\n};\n\nBuffer.prototype.writeUInt16BE = function writeUInt16BE(value, offset, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0);\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    this[offset] = value >>> 8;\n    this[offset + 1] = value & 0xff;\n  } else {\n    objectWriteUInt16(this, value, offset, false);\n  }\n\n  return offset + 2;\n};\n\nfunction objectWriteUInt32(buf, value, offset, littleEndian) {\n  if (value < 0) value = 0xffffffff + value + 1;\n\n  for (var i = 0, j = Math.min(buf.length - offset, 4); i < j; ++i) {\n    buf[offset + i] = value >>> (littleEndian ? i : 3 - i) * 8 & 0xff;\n  }\n}\n\nBuffer.prototype.writeUInt32LE = function writeUInt32LE(value, offset, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0);\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    this[offset + 3] = value >>> 24;\n    this[offset + 2] = value >>> 16;\n    this[offset + 1] = value >>> 8;\n    this[offset] = value & 0xff;\n  } else {\n    objectWriteUInt32(this, value, offset, true);\n  }\n\n  return offset + 4;\n};\n\nBuffer.prototype.writeUInt32BE = function writeUInt32BE(value, offset, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0);\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    this[offset] = value >>> 24;\n    this[offset + 1] = value >>> 16;\n    this[offset + 2] = value >>> 8;\n    this[offset + 3] = value & 0xff;\n  } else {\n    objectWriteUInt32(this, value, offset, false);\n  }\n\n  return offset + 4;\n};\n\nBuffer.prototype.writeIntLE = function writeIntLE(value, offset, byteLength, noAssert) {\n  value = +value;\n  offset = offset | 0;\n\n  if (!noAssert) {\n    var limit = Math.pow(2, 8 * byteLength - 1);\n    checkInt(this, value, offset, byteLength, limit - 1, -limit);\n  }\n\n  var i = 0;\n  var mul = 1;\n  var sub = 0;\n  this[offset] = value & 0xFF;\n\n  while (++i < byteLength && (mul *= 0x100)) {\n    if (value < 0 && sub === 0 && this[offset + i - 1] !== 0) {\n      sub = 1;\n    }\n\n    this[offset + i] = (value / mul >> 0) - sub & 0xFF;\n  }\n\n  return offset + byteLength;\n};\n\nBuffer.prototype.writeIntBE = function writeIntBE(value, offset, byteLength, noAssert) {\n  value = +value;\n  offset = offset | 0;\n\n  if (!noAssert) {\n    var limit = Math.pow(2, 8 * byteLength - 1);\n    checkInt(this, value, offset, byteLength, limit - 1, -limit);\n  }\n\n  var i = byteLength - 1;\n  var mul = 1;\n  var sub = 0;\n  this[offset + i] = value & 0xFF;\n\n  while (--i >= 0 && (mul *= 0x100)) {\n    if (value < 0 && sub === 0 && this[offset + i + 1] !== 0) {\n      sub = 1;\n    }\n\n    this[offset + i] = (value / mul >> 0) - sub & 0xFF;\n  }\n\n  return offset + byteLength;\n};\n\nBuffer.prototype.writeInt8 = function writeInt8(value, offset, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  if (!noAssert) checkInt(this, value, offset, 1, 0x7f, -0x80);\n  if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value);\n  if (value < 0) value = 0xff + value + 1;\n  this[offset] = value & 0xff;\n  return offset + 1;\n};\n\nBuffer.prototype.writeInt16LE = function writeInt16LE(value, offset, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000);\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    this[offset] = value & 0xff;\n    this[offset + 1] = value >>> 8;\n  } else {\n    objectWriteUInt16(this, value, offset, true);\n  }\n\n  return offset + 2;\n};\n\nBuffer.prototype.writeInt16BE = function writeInt16BE(value, offset, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000);\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    this[offset] = value >>> 8;\n    this[offset + 1] = value & 0xff;\n  } else {\n    objectWriteUInt16(this, value, offset, false);\n  }\n\n  return offset + 2;\n};\n\nBuffer.prototype.writeInt32LE = function writeInt32LE(value, offset, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000);\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    this[offset] = value & 0xff;\n    this[offset + 1] = value >>> 8;\n    this[offset + 2] = value >>> 16;\n    this[offset + 3] = value >>> 24;\n  } else {\n    objectWriteUInt32(this, value, offset, true);\n  }\n\n  return offset + 4;\n};\n\nBuffer.prototype.writeInt32BE = function writeInt32BE(value, offset, noAssert) {\n  value = +value;\n  offset = offset | 0;\n  if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000);\n  if (value < 0) value = 0xffffffff + value + 1;\n\n  if (Buffer.TYPED_ARRAY_SUPPORT) {\n    this[offset] = value >>> 24;\n    this[offset + 1] = value >>> 16;\n    this[offset + 2] = value >>> 8;\n    this[offset + 3] = value & 0xff;\n  } else {\n    objectWriteUInt32(this, value, offset, false);\n  }\n\n  return offset + 4;\n};\n\nfunction checkIEEE754(buf, value, offset, ext, max, min) {\n  if (offset + ext > buf.length) throw new RangeError('Index out of range');\n  if (offset < 0) throw new RangeError('Index out of range');\n}\n\nfunction writeFloat(buf, value, offset, littleEndian, noAssert) {\n  if (!noAssert) {\n    checkIEEE754(buf, value, offset, 4, 3.4028234663852886e+38, -3.4028234663852886e+38);\n  }\n\n  ieee754.write(buf, value, offset, littleEndian, 23, 4);\n  return offset + 4;\n}\n\nBuffer.prototype.writeFloatLE = function writeFloatLE(value, offset, noAssert) {\n  return writeFloat(this, value, offset, true, noAssert);\n};\n\nBuffer.prototype.writeFloatBE = function writeFloatBE(value, offset, noAssert) {\n  return writeFloat(this, value, offset, false, noAssert);\n};\n\nfunction writeDouble(buf, value, offset, littleEndian, noAssert) {\n  if (!noAssert) {\n    checkIEEE754(buf, value, offset, 8, 1.7976931348623157E+308, -1.7976931348623157E+308);\n  }\n\n  ieee754.write(buf, value, offset, littleEndian, 52, 8);\n  return offset + 8;\n}\n\nBuffer.prototype.writeDoubleLE = function writeDoubleLE(value, offset, noAssert) {\n  return writeDouble(this, value, offset, true, noAssert);\n};\n\nBuffer.prototype.writeDoubleBE = function writeDoubleBE(value, offset, noAssert) {\n  return writeDouble(this, value, offset, false, noAssert);\n}; // copy(targetBuffer, targetStart=0, sourceStart=0, sourceEnd=buffer.length)\n\n\nBuffer.prototype.copy = function copy(target, targetStart, start, end) {\n  if (!start) start = 0;\n  if (!end && end !== 0) end = this.length;\n  if (targetStart >= target.length) targetStart = target.length;\n  if (!targetStart) targetStart = 0;\n  if (end > 0 && end < start) end = start; // Copy 0 bytes; we're done\n\n  if (end === start) return 0;\n  if (target.length === 0 || this.length === 0) return 0; // Fatal error conditions\n\n  if (targetStart < 0) {\n    throw new RangeError('targetStart out of bounds');\n  }\n\n  if (start < 0 || start >= this.length) throw new RangeError('sourceStart out of bounds');\n  if (end < 0) throw new RangeError('sourceEnd out of bounds'); // Are we oob?\n\n  if (end > this.length) end = this.length;\n\n  if (target.length - targetStart < end - start) {\n    end = target.length - targetStart + start;\n  }\n\n  var len = end - start;\n  var i;\n\n  if (this === target && start < targetStart && targetStart < end) {\n    // descending copy from end\n    for (i = len - 1; i >= 0; --i) {\n      target[i + targetStart] = this[i + start];\n    }\n  } else if (len < 1000 || !Buffer.TYPED_ARRAY_SUPPORT) {\n    // ascending copy from start\n    for (i = 0; i < len; ++i) {\n      target[i + targetStart] = this[i + start];\n    }\n  } else {\n    Uint8Array.prototype.set.call(target, this.subarray(start, start + len), targetStart);\n  }\n\n  return len;\n}; // Usage:\n//    buffer.fill(number[, offset[, end]])\n//    buffer.fill(buffer[, offset[, end]])\n//    buffer.fill(string[, offset[, end]][, encoding])\n\n\nBuffer.prototype.fill = function fill(val, start, end, encoding) {\n  // Handle string cases:\n  if (typeof val === 'string') {\n    if (typeof start === 'string') {\n      encoding = start;\n      start = 0;\n      end = this.length;\n    } else if (typeof end === 'string') {\n      encoding = end;\n      end = this.length;\n    }\n\n    if (val.length === 1) {\n      var code = val.charCodeAt(0);\n\n      if (code < 256) {\n        val = code;\n      }\n    }\n\n    if (encoding !== undefined && typeof encoding !== 'string') {\n      throw new TypeError('encoding must be a string');\n    }\n\n    if (typeof encoding === 'string' && !Buffer.isEncoding(encoding)) {\n      throw new TypeError('Unknown encoding: ' + encoding);\n    }\n  } else if (typeof val === 'number') {\n    val = val & 255;\n  } // Invalid ranges are not set to a default, so can range check early.\n\n\n  if (start < 0 || this.length < start || this.length < end) {\n    throw new RangeError('Out of range index');\n  }\n\n  if (end <= start) {\n    return this;\n  }\n\n  start = start >>> 0;\n  end = end === undefined ? this.length : end >>> 0;\n  if (!val) val = 0;\n  var i;\n\n  if (typeof val === 'number') {\n    for (i = start; i < end; ++i) {\n      this[i] = val;\n    }\n  } else {\n    var bytes = Buffer.isBuffer(val) ? val : utf8ToBytes(new Buffer(val, encoding).toString());\n    var len = bytes.length;\n\n    for (i = 0; i < end - start; ++i) {\n      this[i + start] = bytes[i % len];\n    }\n  }\n\n  return this;\n}; // HELPER FUNCTIONS\n// ================\n\n\nvar INVALID_BASE64_RE = /[^+\\/0-9A-Za-z-_]/g;\n\nfunction base64clean(str) {\n  // Node strips out invalid characters like \\n and \\t from the string, base64-js does not\n  str = stringtrim(str).replace(INVALID_BASE64_RE, ''); // Node converts strings with length < 2 to ''\n\n  if (str.length < 2) return ''; // Node allows for non-padded base64 strings (missing trailing ===), base64-js does not\n\n  while (str.length % 4 !== 0) {\n    str = str + '=';\n  }\n\n  return str;\n}\n\nfunction stringtrim(str) {\n  if (str.trim) return str.trim();\n  return str.replace(/^\\s+|\\s+$/g, '');\n}\n\nfunction toHex(n) {\n  if (n < 16) return '0' + n.toString(16);\n  return n.toString(16);\n}\n\nfunction utf8ToBytes(string, units) {\n  units = units || Infinity;\n  var codePoint;\n  var length = string.length;\n  var leadSurrogate = null;\n  var bytes = [];\n\n  for (var i = 0; i < length; ++i) {\n    codePoint = string.charCodeAt(i); // is surrogate component\n\n    if (codePoint > 0xD7FF && codePoint < 0xE000) {\n      // last char was a lead\n      if (!leadSurrogate) {\n        // no lead yet\n        if (codePoint > 0xDBFF) {\n          // unexpected trail\n          if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD);\n          continue;\n        } else if (i + 1 === length) {\n          // unpaired lead\n          if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD);\n          continue;\n        } // valid lead\n\n\n        leadSurrogate = codePoint;\n        continue;\n      } // 2 leads in a row\n\n\n      if (codePoint < 0xDC00) {\n        if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD);\n        leadSurrogate = codePoint;\n        continue;\n      } // valid surrogate pair\n\n\n      codePoint = (leadSurrogate - 0xD800 << 10 | codePoint - 0xDC00) + 0x10000;\n    } else if (leadSurrogate) {\n      // valid bmp char, but last char was a lead\n      if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD);\n    }\n\n    leadSurrogate = null; // encode utf8\n\n    if (codePoint < 0x80) {\n      if ((units -= 1) < 0) break;\n      bytes.push(codePoint);\n    } else if (codePoint < 0x800) {\n      if ((units -= 2) < 0) break;\n      bytes.push(codePoint >> 0x6 | 0xC0, codePoint & 0x3F | 0x80);\n    } else if (codePoint < 0x10000) {\n      if ((units -= 3) < 0) break;\n      bytes.push(codePoint >> 0xC | 0xE0, codePoint >> 0x6 & 0x3F | 0x80, codePoint & 0x3F | 0x80);\n    } else if (codePoint < 0x110000) {\n      if ((units -= 4) < 0) break;\n      bytes.push(codePoint >> 0x12 | 0xF0, codePoint >> 0xC & 0x3F | 0x80, codePoint >> 0x6 & 0x3F | 0x80, codePoint & 0x3F | 0x80);\n    } else {\n      throw new Error('Invalid code point');\n    }\n  }\n\n  return bytes;\n}\n\nfunction asciiToBytes(str) {\n  var byteArray = [];\n\n  for (var i = 0; i < str.length; ++i) {\n    // Node's code seems to be doing this and not & 0x7F..\n    byteArray.push(str.charCodeAt(i) & 0xFF);\n  }\n\n  return byteArray;\n}\n\nfunction utf16leToBytes(str, units) {\n  var c, hi, lo;\n  var byteArray = [];\n\n  for (var i = 0; i < str.length; ++i) {\n    if ((units -= 2) < 0) break;\n    c = str.charCodeAt(i);\n    hi = c >> 8;\n    lo = c % 256;\n    byteArray.push(lo);\n    byteArray.push(hi);\n  }\n\n  return byteArray;\n}\n\nfunction base64ToBytes(str) {\n  return base64.toByteArray(base64clean(str));\n}\n\nfunction blitBuffer(src, dst, offset, length) {\n  for (var i = 0; i < length; ++i) {\n    if (i + offset >= dst.length || i >= src.length) break;\n    dst[i + offset] = src[i];\n  }\n\n  return i;\n}\n\nfunction isnan(val) {\n  return val !== val; // eslint-disable-line no-self-compare\n}","'use strict';\n\nexports.byteLength = byteLength;\nexports.toByteArray = toByteArray;\nexports.fromByteArray = fromByteArray;\nvar lookup = [];\nvar revLookup = [];\nvar Arr = typeof Uint8Array !== 'undefined' ? Uint8Array : Array;\nvar code = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/';\n\nfor (var i = 0, len = code.length; i < len; ++i) {\n  lookup[i] = code[i];\n  revLookup[code.charCodeAt(i)] = i;\n} // Support decoding URL-safe base64 strings, as Node.js does.\n// See: https://en.wikipedia.org/wiki/Base64#URL_applications\n\n\nrevLookup['-'.charCodeAt(0)] = 62;\nrevLookup['_'.charCodeAt(0)] = 63;\n\nfunction getLens(b64) {\n  var len = b64.length;\n\n  if (len % 4 > 0) {\n    throw new Error('Invalid string. Length must be a multiple of 4');\n  } // Trim off extra bytes after placeholder bytes are found\n  // See: https://github.com/beatgammit/base64-js/issues/42\n\n\n  var validLen = b64.indexOf('=');\n  if (validLen === -1) validLen = len;\n  var placeHoldersLen = validLen === len ? 0 : 4 - validLen % 4;\n  return [validLen, placeHoldersLen];\n} // base64 is 4/3 + up to two characters of the original data\n\n\nfunction byteLength(b64) {\n  var lens = getLens(b64);\n  var validLen = lens[0];\n  var placeHoldersLen = lens[1];\n  return (validLen + placeHoldersLen) * 3 / 4 - placeHoldersLen;\n}\n\nfunction _byteLength(b64, validLen, placeHoldersLen) {\n  return (validLen + placeHoldersLen) * 3 / 4 - placeHoldersLen;\n}\n\nfunction toByteArray(b64) {\n  var tmp;\n  var lens = getLens(b64);\n  var validLen = lens[0];\n  var placeHoldersLen = lens[1];\n  var arr = new Arr(_byteLength(b64, validLen, placeHoldersLen));\n  var curByte = 0; // if there are placeholders, only get up to the last complete 4 chars\n\n  var len = placeHoldersLen > 0 ? validLen - 4 : validLen;\n\n  for (var i = 0; i < len; i += 4) {\n    tmp = revLookup[b64.charCodeAt(i)] << 18 | revLookup[b64.charCodeAt(i + 1)] << 12 | revLookup[b64.charCodeAt(i + 2)] << 6 | revLookup[b64.charCodeAt(i + 3)];\n    arr[curByte++] = tmp >> 16 & 0xFF;\n    arr[curByte++] = tmp >> 8 & 0xFF;\n    arr[curByte++] = tmp & 0xFF;\n  }\n\n  if (placeHoldersLen === 2) {\n    tmp = revLookup[b64.charCodeAt(i)] << 2 | revLookup[b64.charCodeAt(i + 1)] >> 4;\n    arr[curByte++] = tmp & 0xFF;\n  }\n\n  if (placeHoldersLen === 1) {\n    tmp = revLookup[b64.charCodeAt(i)] << 10 | revLookup[b64.charCodeAt(i + 1)] << 4 | revLookup[b64.charCodeAt(i + 2)] >> 2;\n    arr[curByte++] = tmp >> 8 & 0xFF;\n    arr[curByte++] = tmp & 0xFF;\n  }\n\n  return arr;\n}\n\nfunction tripletToBase64(num) {\n  return lookup[num >> 18 & 0x3F] + lookup[num >> 12 & 0x3F] + lookup[num >> 6 & 0x3F] + lookup[num & 0x3F];\n}\n\nfunction encodeChunk(uint8, start, end) {\n  var tmp;\n  var output = [];\n\n  for (var i = start; i < end; i += 3) {\n    tmp = (uint8[i] << 16 & 0xFF0000) + (uint8[i + 1] << 8 & 0xFF00) + (uint8[i + 2] & 0xFF);\n    output.push(tripletToBase64(tmp));\n  }\n\n  return output.join('');\n}\n\nfunction fromByteArray(uint8) {\n  var tmp;\n  var len = uint8.length;\n  var extraBytes = len % 3; // if we have 1 byte left, pad 2 bytes\n\n  var parts = [];\n  var maxChunkLength = 16383; // must be multiple of 3\n  // go through the array every three bytes, we'll deal with trailing stuff later\n\n  for (var i = 0, len2 = len - extraBytes; i < len2; i += maxChunkLength) {\n    parts.push(encodeChunk(uint8, i, i + maxChunkLength > len2 ? len2 : i + maxChunkLength));\n  } // pad the end with zeros, but make sure to not forget the extra bytes\n\n\n  if (extraBytes === 1) {\n    tmp = uint8[len - 1];\n    parts.push(lookup[tmp >> 2] + lookup[tmp << 4 & 0x3F] + '==');\n  } else if (extraBytes === 2) {\n    tmp = (uint8[len - 2] << 8) + uint8[len - 1];\n    parts.push(lookup[tmp >> 10] + lookup[tmp >> 4 & 0x3F] + lookup[tmp << 2 & 0x3F] + '=');\n  }\n\n  return parts.join('');\n}","exports.read = function (buffer, offset, isLE, mLen, nBytes) {\n  var e, m;\n  var eLen = nBytes * 8 - mLen - 1;\n  var eMax = (1 << eLen) - 1;\n  var eBias = eMax >> 1;\n  var nBits = -7;\n  var i = isLE ? nBytes - 1 : 0;\n  var d = isLE ? -1 : 1;\n  var s = buffer[offset + i];\n  i += d;\n  e = s & (1 << -nBits) - 1;\n  s >>= -nBits;\n  nBits += eLen;\n\n  for (; nBits > 0; e = e * 256 + buffer[offset + i], i += d, nBits -= 8) {}\n\n  m = e & (1 << -nBits) - 1;\n  e >>= -nBits;\n  nBits += mLen;\n\n  for (; nBits > 0; m = m * 256 + buffer[offset + i], i += d, nBits -= 8) {}\n\n  if (e === 0) {\n    e = 1 - eBias;\n  } else if (e === eMax) {\n    return m ? NaN : (s ? -1 : 1) * Infinity;\n  } else {\n    m = m + Math.pow(2, mLen);\n    e = e - eBias;\n  }\n\n  return (s ? -1 : 1) * m * Math.pow(2, e - mLen);\n};\n\nexports.write = function (buffer, value, offset, isLE, mLen, nBytes) {\n  var e, m, c;\n  var eLen = nBytes * 8 - mLen - 1;\n  var eMax = (1 << eLen) - 1;\n  var eBias = eMax >> 1;\n  var rt = mLen === 23 ? Math.pow(2, -24) - Math.pow(2, -77) : 0;\n  var i = isLE ? 0 : nBytes - 1;\n  var d = isLE ? 1 : -1;\n  var s = value < 0 || value === 0 && 1 / value < 0 ? 1 : 0;\n  value = Math.abs(value);\n\n  if (isNaN(value) || value === Infinity) {\n    m = isNaN(value) ? 1 : 0;\n    e = eMax;\n  } else {\n    e = Math.floor(Math.log(value) / Math.LN2);\n\n    if (value * (c = Math.pow(2, -e)) < 1) {\n      e--;\n      c *= 2;\n    }\n\n    if (e + eBias >= 1) {\n      value += rt / c;\n    } else {\n      value += rt * Math.pow(2, 1 - eBias);\n    }\n\n    if (value * c >= 2) {\n      e++;\n      c /= 2;\n    }\n\n    if (e + eBias >= eMax) {\n      m = 0;\n      e = eMax;\n    } else if (e + eBias >= 1) {\n      m = (value * c - 1) * Math.pow(2, mLen);\n      e = e + eBias;\n    } else {\n      m = value * Math.pow(2, eBias - 1) * Math.pow(2, mLen);\n      e = 0;\n    }\n  }\n\n  for (; mLen >= 8; buffer[offset + i] = m & 0xff, i += d, m /= 256, mLen -= 8) {}\n\n  e = e << mLen | m;\n  eLen += mLen;\n\n  for (; eLen > 0; buffer[offset + i] = e & 0xff, i += d, e /= 256, eLen -= 8) {}\n\n  buffer[offset + i - d] |= s * 128;\n};","var toString = {}.toString;\n\nmodule.exports = Array.isArray || function (arr) {\n  return toString.call(arr) == '[object Array]';\n};","\"use strict\";\n\nexports.__esModule = true;\nexports.default = void 0;\n\nvar PropTypes = _interopRequireWildcard(require(\"prop-types\"));\n\nvar _addClass = _interopRequireDefault(require(\"dom-helpers/class/addClass\"));\n\nvar _removeClass = _interopRequireDefault(require(\"dom-helpers/class/removeClass\"));\n\nvar _react = _interopRequireDefault(require(\"react\"));\n\nvar _Transition = _interopRequireDefault(require(\"./Transition\"));\n\nvar _PropTypes = require(\"./utils/PropTypes\");\n\nfunction _interopRequireDefault(obj) {\n  return obj && obj.__esModule ? obj : {\n    default: obj\n  };\n}\n\nfunction _interopRequireWildcard(obj) {\n  if (obj && obj.__esModule) {\n    return obj;\n  } else {\n    var newObj = {};\n\n    if (obj != null) {\n      for (var key in obj) {\n        if (Object.prototype.hasOwnProperty.call(obj, key)) {\n          var desc = Object.defineProperty && Object.getOwnPropertyDescriptor ? Object.getOwnPropertyDescriptor(obj, key) : {};\n\n          if (desc.get || desc.set) {\n            Object.defineProperty(newObj, key, desc);\n          } else {\n            newObj[key] = obj[key];\n          }\n        }\n      }\n    }\n\n    newObj.default = obj;\n    return newObj;\n  }\n}\n\nfunction _extends() {\n  _extends = Object.assign || function (target) {\n    for (var i = 1; i < arguments.length; i++) {\n      var source = arguments[i];\n\n      for (var key in source) {\n        if (Object.prototype.hasOwnProperty.call(source, key)) {\n          target[key] = source[key];\n        }\n      }\n    }\n\n    return target;\n  };\n\n  return _extends.apply(this, arguments);\n}\n\nfunction _inheritsLoose(subClass, superClass) {\n  subClass.prototype = Object.create(superClass.prototype);\n  subClass.prototype.constructor = subClass;\n  subClass.__proto__ = superClass;\n}\n\nvar addClass = function addClass(node, classes) {\n  return node && classes && classes.split(' ').forEach(function (c) {\n    return (0, _addClass.default)(node, c);\n  });\n};\n\nvar removeClass = function removeClass(node, classes) {\n  return node && classes && classes.split(' ').forEach(function (c) {\n    return (0, _removeClass.default)(node, c);\n  });\n};\n/**\n * A `Transition` component using CSS transitions and animations.\n * It's inspired by the excellent [ng-animate](http://www.nganimate.org/) library.\n *\n * `CSSTransition` applies a pair of class names during the `appear`, `enter`,\n * and `exit` stages of the transition. The first class is applied and then a\n * second \"active\" class in order to activate the css animation. After the animation,\n * matching `done` class names are applied to persist the animation state.\n *\n * When the `in` prop is toggled to `true` the Component will get\n * the `example-enter` CSS class and the `example-enter-active` CSS class\n * added in the next tick. This is a convention based on the `classNames` prop.\n */\n\n\nvar CSSTransition =\n/*#__PURE__*/\nfunction (_React$Component) {\n  _inheritsLoose(CSSTransition, _React$Component);\n\n  function CSSTransition() {\n    var _this;\n\n    for (var _len = arguments.length, args = new Array(_len), _key = 0; _key < _len; _key++) {\n      args[_key] = arguments[_key];\n    }\n\n    _this = _React$Component.call.apply(_React$Component, [this].concat(args)) || this;\n\n    _this.onEnter = function (node, appearing) {\n      var _this$getClassNames = _this.getClassNames(appearing ? 'appear' : 'enter'),\n          className = _this$getClassNames.className;\n\n      _this.removeClasses(node, 'exit');\n\n      addClass(node, className);\n\n      if (_this.props.onEnter) {\n        _this.props.onEnter(node, appearing);\n      }\n    };\n\n    _this.onEntering = function (node, appearing) {\n      var _this$getClassNames2 = _this.getClassNames(appearing ? 'appear' : 'enter'),\n          activeClassName = _this$getClassNames2.activeClassName;\n\n      _this.reflowAndAddClass(node, activeClassName);\n\n      if (_this.props.onEntering) {\n        _this.props.onEntering(node, appearing);\n      }\n    };\n\n    _this.onEntered = function (node, appearing) {\n      var _this$getClassNames3 = _this.getClassNames('enter'),\n          doneClassName = _this$getClassNames3.doneClassName;\n\n      _this.removeClasses(node, appearing ? 'appear' : 'enter');\n\n      addClass(node, doneClassName);\n\n      if (_this.props.onEntered) {\n        _this.props.onEntered(node, appearing);\n      }\n    };\n\n    _this.onExit = function (node) {\n      var _this$getClassNames4 = _this.getClassNames('exit'),\n          className = _this$getClassNames4.className;\n\n      _this.removeClasses(node, 'appear');\n\n      _this.removeClasses(node, 'enter');\n\n      addClass(node, className);\n\n      if (_this.props.onExit) {\n        _this.props.onExit(node);\n      }\n    };\n\n    _this.onExiting = function (node) {\n      var _this$getClassNames5 = _this.getClassNames('exit'),\n          activeClassName = _this$getClassNames5.activeClassName;\n\n      _this.reflowAndAddClass(node, activeClassName);\n\n      if (_this.props.onExiting) {\n        _this.props.onExiting(node);\n      }\n    };\n\n    _this.onExited = function (node) {\n      var _this$getClassNames6 = _this.getClassNames('exit'),\n          doneClassName = _this$getClassNames6.doneClassName;\n\n      _this.removeClasses(node, 'exit');\n\n      addClass(node, doneClassName);\n\n      if (_this.props.onExited) {\n        _this.props.onExited(node);\n      }\n    };\n\n    _this.getClassNames = function (type) {\n      var classNames = _this.props.classNames;\n      var className = typeof classNames !== 'string' ? classNames[type] : classNames + '-' + type;\n      var activeClassName = typeof classNames !== 'string' ? classNames[type + 'Active'] : className + '-active';\n      var doneClassName = typeof classNames !== 'string' ? classNames[type + 'Done'] : className + '-done';\n      return {\n        className: className,\n        activeClassName: activeClassName,\n        doneClassName: doneClassName\n      };\n    };\n\n    return _this;\n  }\n\n  var _proto = CSSTransition.prototype;\n\n  _proto.removeClasses = function removeClasses(node, type) {\n    var _this$getClassNames7 = this.getClassNames(type),\n        className = _this$getClassNames7.className,\n        activeClassName = _this$getClassNames7.activeClassName,\n        doneClassName = _this$getClassNames7.doneClassName;\n\n    className && removeClass(node, className);\n    activeClassName && removeClass(node, activeClassName);\n    doneClassName && removeClass(node, doneClassName);\n  };\n\n  _proto.reflowAndAddClass = function reflowAndAddClass(node, className) {\n    // This is for to force a repaint,\n    // which is necessary in order to transition styles when adding a class name.\n    if (className) {\n      /* eslint-disable no-unused-expressions */\n      node && node.scrollTop;\n      /* eslint-enable no-unused-expressions */\n\n      addClass(node, className);\n    }\n  };\n\n  _proto.render = function render() {\n    var props = _extends({}, this.props);\n\n    delete props.classNames;\n    return _react.default.createElement(_Transition.default, _extends({}, props, {\n      onEnter: this.onEnter,\n      onEntered: this.onEntered,\n      onEntering: this.onEntering,\n      onExit: this.onExit,\n      onExiting: this.onExiting,\n      onExited: this.onExited\n    }));\n  };\n\n  return CSSTransition;\n}(_react.default.Component);\n\nCSSTransition.propTypes = process.env.NODE_ENV !== \"production\" ? _extends({}, _Transition.default.propTypes, {\n  /**\n   * The animation classNames applied to the component as it enters, exits or has finished the transition.\n   * A single name can be provided and it will be suffixed for each stage: e.g.\n   *\n   * `classNames=\"fade\"` applies `fade-enter`, `fade-enter-active`, `fade-enter-done`,\n   * `fade-exit`, `fade-exit-active`, `fade-exit-done`, `fade-appear`, and `fade-appear-active`.\n   * Each individual classNames can also be specified independently like:\n   *\n   * ```js\n   * classNames={{\n   *  appear: 'my-appear',\n   *  appearActive: 'my-active-appear',\n   *  enter: 'my-enter',\n   *  enterActive: 'my-active-enter',\n   *  enterDone: 'my-done-enter',\n   *  exit: 'my-exit',\n   *  exitActive: 'my-active-exit',\n   *  exitDone: 'my-done-exit',\n   * }}\n   * ```\n   *\n   * If you want to set these classes using CSS Modules:\n   *\n   * ```js\n   * import styles from './styles.css';\n   * ```\n   *\n   * you might want to use camelCase in your CSS file, that way could simply spread\n   * them instead of listing them one by one:\n   *\n   * ```js\n   * classNames={{ ...styles }}\n   * ```\n   *\n   * @type {string | {\n   *  appear?: string,\n   *  appearActive?: string,\n   *  enter?: string,\n   *  enterActive?: string,\n   *  enterDone?: string,\n   *  exit?: string,\n   *  exitActive?: string,\n   *  exitDone?: string,\n   * }}\n   */\n  classNames: _PropTypes.classNamesShape,\n\n  /**\n   * A `<Transition>` callback fired immediately after the 'enter' or 'appear' class is\n   * applied.\n   *\n   * @type Function(node: HtmlElement, isAppearing: bool)\n   */\n  onEnter: PropTypes.func,\n\n  /**\n   * A `<Transition>` callback fired immediately after the 'enter-active' or\n   * 'appear-active' class is applied.\n   *\n   * @type Function(node: HtmlElement, isAppearing: bool)\n   */\n  onEntering: PropTypes.func,\n\n  /**\n   * A `<Transition>` callback fired immediately after the 'enter' or\n   * 'appear' classes are **removed** and the `done` class is added to the DOM node.\n   *\n   * @type Function(node: HtmlElement, isAppearing: bool)\n   */\n  onEntered: PropTypes.func,\n\n  /**\n   * A `<Transition>` callback fired immediately after the 'exit' class is\n   * applied.\n   *\n   * @type Function(node: HtmlElement)\n   */\n  onExit: PropTypes.func,\n\n  /**\n   * A `<Transition>` callback fired immediately after the 'exit-active' is applied.\n   *\n   * @type Function(node: HtmlElement)\n   */\n  onExiting: PropTypes.func,\n\n  /**\n   * A `<Transition>` callback fired immediately after the 'exit' classes\n   * are **removed** and the `exit-done` class is added to the DOM node.\n   *\n   * @type Function(node: HtmlElement)\n   */\n  onExited: PropTypes.func\n}) : {};\nvar _default = CSSTransition;\nexports.default = _default;\nmodule.exports = exports[\"default\"];","\"use strict\";\n\nvar _interopRequireDefault = require(\"@babel/runtime/helpers/interopRequireDefault\");\n\nexports.__esModule = true;\nexports.default = addClass;\n\nvar _hasClass = _interopRequireDefault(require(\"./hasClass\"));\n\nfunction addClass(element, className) {\n  if (element.classList) element.classList.add(className);else if (!(0, _hasClass.default)(element, className)) if (typeof element.className === 'string') element.className = element.className + ' ' + className;else element.setAttribute('class', (element.className && element.className.baseVal || '') + ' ' + className);\n}\n\nmodule.exports = exports[\"default\"];","function _interopRequireDefault(obj) {\n  return obj && obj.__esModule ? obj : {\n    default: obj\n  };\n}\n\nmodule.exports = _interopRequireDefault;","\"use strict\";\n\nexports.__esModule = true;\nexports.default = hasClass;\n\nfunction hasClass(element, className) {\n  if (element.classList) return !!className && element.classList.contains(className);else return (\" \" + (element.className.baseVal || element.className) + \" \").indexOf(\" \" + className + \" \") !== -1;\n}\n\nmodule.exports = exports[\"default\"];","'use strict';\n\nfunction replaceClassName(origClass, classToRemove) {\n  return origClass.replace(new RegExp('(^|\\\\s)' + classToRemove + '(?:\\\\s|$)', 'g'), '$1').replace(/\\s+/g, ' ').replace(/^\\s*|\\s*$/g, '');\n}\n\nmodule.exports = function removeClass(element, className) {\n  if (element.classList) element.classList.remove(className);else if (typeof element.className === 'string') element.className = replaceClassName(element.className, className);else element.setAttribute('class', replaceClassName(element.className && element.className.baseVal || '', className));\n};","\"use strict\";\n\nexports.__esModule = true;\nexports.default = void 0;\n\nvar _propTypes = _interopRequireDefault(require(\"prop-types\"));\n\nvar _react = _interopRequireDefault(require(\"react\"));\n\nvar _reactDom = require(\"react-dom\");\n\nvar _TransitionGroup = _interopRequireDefault(require(\"./TransitionGroup\"));\n\nfunction _interopRequireDefault(obj) {\n  return obj && obj.__esModule ? obj : {\n    default: obj\n  };\n}\n\nfunction _objectWithoutPropertiesLoose(source, excluded) {\n  if (source == null) return {};\n  var target = {};\n  var sourceKeys = Object.keys(source);\n  var key, i;\n\n  for (i = 0; i < sourceKeys.length; i++) {\n    key = sourceKeys[i];\n    if (excluded.indexOf(key) >= 0) continue;\n    target[key] = source[key];\n  }\n\n  return target;\n}\n\nfunction _inheritsLoose(subClass, superClass) {\n  subClass.prototype = Object.create(superClass.prototype);\n  subClass.prototype.constructor = subClass;\n  subClass.__proto__ = superClass;\n}\n/**\n * The `<ReplaceTransition>` component is a specialized `Transition` component\n * that animates between two children.\n *\n * ```jsx\n * <ReplaceTransition in>\n *   <Fade><div>I appear first</div></Fade>\n *   <Fade><div>I replace the above</div></Fade>\n * </ReplaceTransition>\n * ```\n */\n\n\nvar ReplaceTransition =\n/*#__PURE__*/\nfunction (_React$Component) {\n  _inheritsLoose(ReplaceTransition, _React$Component);\n\n  function ReplaceTransition() {\n    var _this;\n\n    for (var _len = arguments.length, _args = new Array(_len), _key = 0; _key < _len; _key++) {\n      _args[_key] = arguments[_key];\n    }\n\n    _this = _React$Component.call.apply(_React$Component, [this].concat(_args)) || this;\n\n    _this.handleEnter = function () {\n      for (var _len2 = arguments.length, args = new Array(_len2), _key2 = 0; _key2 < _len2; _key2++) {\n        args[_key2] = arguments[_key2];\n      }\n\n      return _this.handleLifecycle('onEnter', 0, args);\n    };\n\n    _this.handleEntering = function () {\n      for (var _len3 = arguments.length, args = new Array(_len3), _key3 = 0; _key3 < _len3; _key3++) {\n        args[_key3] = arguments[_key3];\n      }\n\n      return _this.handleLifecycle('onEntering', 0, args);\n    };\n\n    _this.handleEntered = function () {\n      for (var _len4 = arguments.length, args = new Array(_len4), _key4 = 0; _key4 < _len4; _key4++) {\n        args[_key4] = arguments[_key4];\n      }\n\n      return _this.handleLifecycle('onEntered', 0, args);\n    };\n\n    _this.handleExit = function () {\n      for (var _len5 = arguments.length, args = new Array(_len5), _key5 = 0; _key5 < _len5; _key5++) {\n        args[_key5] = arguments[_key5];\n      }\n\n      return _this.handleLifecycle('onExit', 1, args);\n    };\n\n    _this.handleExiting = function () {\n      for (var _len6 = arguments.length, args = new Array(_len6), _key6 = 0; _key6 < _len6; _key6++) {\n        args[_key6] = arguments[_key6];\n      }\n\n      return _this.handleLifecycle('onExiting', 1, args);\n    };\n\n    _this.handleExited = function () {\n      for (var _len7 = arguments.length, args = new Array(_len7), _key7 = 0; _key7 < _len7; _key7++) {\n        args[_key7] = arguments[_key7];\n      }\n\n      return _this.handleLifecycle('onExited', 1, args);\n    };\n\n    return _this;\n  }\n\n  var _proto = ReplaceTransition.prototype;\n\n  _proto.handleLifecycle = function handleLifecycle(handler, idx, originalArgs) {\n    var _child$props;\n\n    var children = this.props.children;\n\n    var child = _react.default.Children.toArray(children)[idx];\n\n    if (child.props[handler]) (_child$props = child.props)[handler].apply(_child$props, originalArgs);\n    if (this.props[handler]) this.props[handler]((0, _reactDom.findDOMNode)(this));\n  };\n\n  _proto.render = function render() {\n    var _this$props = this.props,\n        children = _this$props.children,\n        inProp = _this$props.in,\n        props = _objectWithoutPropertiesLoose(_this$props, [\"children\", \"in\"]);\n\n    var _React$Children$toArr = _react.default.Children.toArray(children),\n        first = _React$Children$toArr[0],\n        second = _React$Children$toArr[1];\n\n    delete props.onEnter;\n    delete props.onEntering;\n    delete props.onEntered;\n    delete props.onExit;\n    delete props.onExiting;\n    delete props.onExited;\n    return _react.default.createElement(_TransitionGroup.default, props, inProp ? _react.default.cloneElement(first, {\n      key: 'first',\n      onEnter: this.handleEnter,\n      onEntering: this.handleEntering,\n      onEntered: this.handleEntered\n    }) : _react.default.cloneElement(second, {\n      key: 'second',\n      onEnter: this.handleExit,\n      onEntering: this.handleExiting,\n      onEntered: this.handleExited\n    }));\n  };\n\n  return ReplaceTransition;\n}(_react.default.Component);\n\nReplaceTransition.propTypes = process.env.NODE_ENV !== \"production\" ? {\n  in: _propTypes.default.bool.isRequired,\n  children: function children(props, propName) {\n    if (_react.default.Children.count(props[propName]) !== 2) return new Error(\"\\\"\" + propName + \"\\\" must be exactly two transition components.\");\n    return null;\n  }\n} : {};\nvar _default = ReplaceTransition;\nexports.default = _default;\nmodule.exports = exports[\"default\"];","\"use strict\";\n\nexports.__esModule = true;\nexports.getChildMapping = getChildMapping;\nexports.mergeChildMappings = mergeChildMappings;\nexports.getInitialChildMapping = getInitialChildMapping;\nexports.getNextChildMapping = getNextChildMapping;\n\nvar _react = require(\"react\");\n/**\n * Given `this.props.children`, return an object mapping key to child.\n *\n * @param {*} children `this.props.children`\n * @return {object} Mapping of key to child\n */\n\n\nfunction getChildMapping(children, mapFn) {\n  var mapper = function mapper(child) {\n    return mapFn && (0, _react.isValidElement)(child) ? mapFn(child) : child;\n  };\n\n  var result = Object.create(null);\n  if (children) _react.Children.map(children, function (c) {\n    return c;\n  }).forEach(function (child) {\n    // run the map function here instead so that the key is the computed one\n    result[child.key] = mapper(child);\n  });\n  return result;\n}\n/**\n * When you're adding or removing children some may be added or removed in the\n * same render pass. We want to show *both* since we want to simultaneously\n * animate elements in and out. This function takes a previous set of keys\n * and a new set of keys and merges them with its best guess of the correct\n * ordering. In the future we may expose some of the utilities in\n * ReactMultiChild to make this easy, but for now React itself does not\n * directly have this concept of the union of prevChildren and nextChildren\n * so we implement it here.\n *\n * @param {object} prev prev children as returned from\n * `ReactTransitionChildMapping.getChildMapping()`.\n * @param {object} next next children as returned from\n * `ReactTransitionChildMapping.getChildMapping()`.\n * @return {object} a key set that contains all keys in `prev` and all keys\n * in `next` in a reasonable order.\n */\n\n\nfunction mergeChildMappings(prev, next) {\n  prev = prev || {};\n  next = next || {};\n\n  function getValueForKey(key) {\n    return key in next ? next[key] : prev[key];\n  } // For each key of `next`, the list of keys to insert before that key in\n  // the combined list\n\n\n  var nextKeysPending = Object.create(null);\n  var pendingKeys = [];\n\n  for (var prevKey in prev) {\n    if (prevKey in next) {\n      if (pendingKeys.length) {\n        nextKeysPending[prevKey] = pendingKeys;\n        pendingKeys = [];\n      }\n    } else {\n      pendingKeys.push(prevKey);\n    }\n  }\n\n  var i;\n  var childMapping = {};\n\n  for (var nextKey in next) {\n    if (nextKeysPending[nextKey]) {\n      for (i = 0; i < nextKeysPending[nextKey].length; i++) {\n        var pendingNextKey = nextKeysPending[nextKey][i];\n        childMapping[nextKeysPending[nextKey][i]] = getValueForKey(pendingNextKey);\n      }\n    }\n\n    childMapping[nextKey] = getValueForKey(nextKey);\n  } // Finally, add the keys which didn't appear before any key in `next`\n\n\n  for (i = 0; i < pendingKeys.length; i++) {\n    childMapping[pendingKeys[i]] = getValueForKey(pendingKeys[i]);\n  }\n\n  return childMapping;\n}\n\nfunction getProp(child, prop, props) {\n  return props[prop] != null ? props[prop] : child.props[prop];\n}\n\nfunction getInitialChildMapping(props, onExited) {\n  return getChildMapping(props.children, function (child) {\n    return (0, _react.cloneElement)(child, {\n      onExited: onExited.bind(null, child),\n      in: true,\n      appear: getProp(child, 'appear', props),\n      enter: getProp(child, 'enter', props),\n      exit: getProp(child, 'exit', props)\n    });\n  });\n}\n\nfunction getNextChildMapping(nextProps, prevChildMapping, onExited) {\n  var nextChildMapping = getChildMapping(nextProps.children);\n  var children = mergeChildMappings(prevChildMapping, nextChildMapping);\n  Object.keys(children).forEach(function (key) {\n    var child = children[key];\n    if (!(0, _react.isValidElement)(child)) return;\n    var hasPrev = key in prevChildMapping;\n    var hasNext = key in nextChildMapping;\n    var prevChild = prevChildMapping[key];\n    var isLeaving = (0, _react.isValidElement)(prevChild) && !prevChild.props.in; // item is new (entering)\n\n    if (hasNext && (!hasPrev || isLeaving)) {\n      // console.log('entering', key)\n      children[key] = (0, _react.cloneElement)(child, {\n        onExited: onExited.bind(null, child),\n        in: true,\n        exit: getProp(child, 'exit', nextProps),\n        enter: getProp(child, 'enter', nextProps)\n      });\n    } else if (!hasNext && hasPrev && !isLeaving) {\n      // item is old (exiting)\n      // console.log('leaving', key)\n      children[key] = (0, _react.cloneElement)(child, {\n        in: false\n      });\n    } else if (hasNext && hasPrev && (0, _react.isValidElement)(prevChild)) {\n      // item hasn't changed transition states\n      // copy over the last transition props;\n      // console.log('unchanged', key)\n      children[key] = (0, _react.cloneElement)(child, {\n        onExited: onExited.bind(null, child),\n        in: prevChild.props.in,\n        exit: getProp(child, 'exit', nextProps),\n        enter: getProp(child, 'enter', nextProps)\n      });\n    }\n  });\n  return children;\n}","'use strict';\n\nvar core = require('./core/core');\n/**\n * math.js factory function. Creates a new instance of math.js\n *\n * @param {Object} [config] Available configuration options:\n *                            {number} epsilon\n *                              Minimum relative difference between two\n *                              compared values, used by all comparison functions.\n *                            {string} matrix\n *                              A string 'matrix' (default) or 'array'.\n *                            {string} number\n *                              A string 'number' (default), 'bignumber', or\n *                              'fraction'\n *                            {number} precision\n *                              The number of significant digits for BigNumbers.\n *                              Not applicable for Numbers.\n *                            {boolean} predictable\n *                              Predictable output type of functions. When true,\n *                              output type depends only on the input types. When\n *                              false (default), output type can vary depending\n *                              on input values. For example `math.sqrt(-4)`\n *                              returns `complex('2i')` when predictable is false, and\n *                              returns `NaN` when true.\n */\n\n\nfunction create(config) {\n  // create a new math.js instance\n  var math = core.create(config);\n  math.create = create; // import data types, functions, constants, expression parser, etc.\n\n  math['import'](require('./index'));\n  return math;\n} // return a new instance of math.js\n\n\nmodule.exports = create();","'use strict';\n\nrequire('./../utils/polyfills');\n\nvar isFactory = require('./../utils/object').isFactory;\n\nvar typedFactory = require('./typed');\n\nvar emitter = require('./../utils/emitter');\n\nvar importFactory = require('./function/import');\n\nvar configFactory = require('./function/config');\n/**\n * Math.js core. Creates a new, empty math.js instance\n * @param {Object} [options] Available options:\n *                            {number} epsilon\n *                              Minimum relative difference between two\n *                              compared values, used by all comparison functions.\n *                            {string} matrix\n *                              A string 'Matrix' (default) or 'Array'.\n *                            {string} number\n *                              A string 'number' (default), 'BigNumber', or 'Fraction'\n *                            {number} precision\n *                              The number of significant digits for BigNumbers.\n *                              Not applicable for Numbers.\n *                            {boolean} predictable\n *                              Predictable output type of functions. When true,\n *                              output type depends only on the input types. When\n *                              false (default), output type can vary depending\n *                              on input values. For example `math.sqrt(-4)`\n *                              returns `complex('2i')` when predictable is false, and\n *                              returns `NaN` when true.\n *                            {string} randomSeed\n *                              Random seed for seeded pseudo random number generator.\n *                              Set to null to randomly seed.\n * @returns {Object} Returns a bare-bone math.js instance containing\n *                   functions:\n *                   - `import` to add new functions\n *                   - `config` to change configuration\n *                   - `on`, `off`, `once`, `emit` for events\n */\n\n\nexports.create = function create(options) {\n  // simple test for ES5 support\n  if (typeof Object.create !== 'function') {\n    throw new Error('ES5 not supported by this JavaScript engine. ' + 'Please load the es5-shim and es5-sham library for compatibility.');\n  } // cached factories and instances\n\n\n  var factories = [];\n  var instances = []; // create a namespace for the mathjs instance, and attach emitter functions\n\n  var math = emitter.mixin({});\n  math.type = {};\n  math.expression = {\n    transform: {},\n    mathWithTransform: {} // create a new typed instance\n\n  };\n  math.typed = typedFactory.create(math.type); // create configuration options. These are private\n\n  var _config = {\n    // minimum relative difference between two compared values,\n    // used by all comparison functions\n    epsilon: 1e-12,\n    // type of default matrix output. Choose 'matrix' (default) or 'array'\n    matrix: 'Matrix',\n    // type of default number output. Choose 'number' (default) 'BigNumber', or 'Fraction\n    number: 'number',\n    // number of significant digits in BigNumbers\n    precision: 64,\n    // predictable output type of functions. When true, output type depends only\n    // on the input types. When false (default), output type can vary depending\n    // on input values. For example `math.sqrt(-4)` returns `complex('2i')` when\n    // predictable is false, and returns `NaN` when true.\n    predictable: false,\n    // random seed for seeded pseudo random number generation\n    // null = randomly seed\n    randomSeed: null\n    /**\n     * Load a function or data type from a factory.\n     * If the function or data type already exists, the existing instance is\n     * returned.\n     * @param {{type: string, name: string, factory: Function}} factory\n     * @returns {*}\n     */\n\n  };\n\n  function load(factory) {\n    if (!isFactory(factory)) {\n      throw new Error('Factory object with properties `type`, `name`, and `factory` expected');\n    }\n\n    var index = factories.indexOf(factory);\n    var instance;\n\n    if (index === -1) {\n      // doesn't yet exist\n      if (factory.math === true) {\n        // pass with math namespace\n        instance = factory.factory(math.type, _config, load, math.typed, math);\n      } else {\n        instance = factory.factory(math.type, _config, load, math.typed);\n      } // append to the cache\n\n\n      factories.push(factory);\n      instances.push(instance);\n    } else {\n      // already existing function, return the cached instance\n      instance = instances[index];\n    }\n\n    return instance;\n  } // load the import and config functions\n\n\n  math['import'] = load(importFactory);\n  math['config'] = load(configFactory);\n  math.expression.mathWithTransform['config'] = math['config']; // apply options\n\n  if (options) {\n    math.config(options);\n  }\n\n  return math;\n};","\"use strict\"; // TODO: remove these polyfills as soon as we have a build process that transpiles the code to ES5\n// Polyfill for IE 11 (Number.isFinite is used in `complex.js`)\n// source: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Number/isFinite\n\nNumber.isFinite = Number.isFinite || function (value) {\n  return typeof value === 'number' && isFinite(value);\n}; // Polyfill for IE 11\n// source: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Number/isNaN\n\n\nNumber.isNaN = Number.isNaN || function (value) {\n  return value !== value; // eslint-disable-line no-self-compare\n};","/**\n * typed-function\n *\n * Type checking for JavaScript functions\n *\n * https://github.com/josdejong/typed-function\n */\n'use strict';\n\n(function (root, factory) {\n  if (typeof define === 'function' && define.amd) {\n    // AMD. Register as an anonymous module.\n    define([], factory);\n  } else if (typeof exports === 'object') {\n    // OldNode. Does not work with strict CommonJS, but\n    // only CommonJS-like environments that support module.exports,\n    // like OldNode.\n    module.exports = factory();\n  } else {\n    // Browser globals (root is window)\n    root.typed = factory();\n  }\n})(this, function () {\n  function ok() {\n    return true;\n  }\n\n  function notOk() {\n    return false;\n  }\n\n  function undef() {\n    return undefined;\n  }\n  /**\n   * @typedef {{\n   *   params: Param[],\n   *   fn: function\n   * }} Signature\n   *\n   * @typedef {{\n   *   types: Type[],\n   *   restParam: boolean\n   * }} Param\n   *\n   * @typedef {{\n   *   name: string,\n   *   typeIndex: number,\n   *   test: function,\n   *   conversion?: ConversionDef,\n   *   conversionIndex: number,\n   * }} Type\n   *\n   * @typedef {{\n   *   from: string,\n   *   to: string,\n   *   convert: function (*) : *\n   * }} ConversionDef\n   *\n   * @typedef {{\n   *   name: string,\n   *   test: function(*) : boolean\n   * }} TypeDef\n   */\n  // create a new instance of typed-function\n\n\n  function create() {\n    // data type tests\n    var _types = [{\n      name: 'number',\n      test: function test(x) {\n        return typeof x === 'number';\n      }\n    }, {\n      name: 'string',\n      test: function test(x) {\n        return typeof x === 'string';\n      }\n    }, {\n      name: 'boolean',\n      test: function test(x) {\n        return typeof x === 'boolean';\n      }\n    }, {\n      name: 'Function',\n      test: function test(x) {\n        return typeof x === 'function';\n      }\n    }, {\n      name: 'Array',\n      test: Array.isArray\n    }, {\n      name: 'Date',\n      test: function test(x) {\n        return x instanceof Date;\n      }\n    }, {\n      name: 'RegExp',\n      test: function test(x) {\n        return x instanceof RegExp;\n      }\n    }, {\n      name: 'Object',\n      test: function test(x) {\n        return typeof x === 'object' && x.constructor === Object;\n      }\n    }, {\n      name: 'null',\n      test: function test(x) {\n        return x === null;\n      }\n    }, {\n      name: 'undefined',\n      test: function test(x) {\n        return x === undefined;\n      }\n    }];\n    var anyType = {\n      name: 'any',\n      test: ok // types which need to be ignored\n\n    };\n    var _ignore = []; // type conversions\n\n    var _conversions = []; // This is a temporary object, will be replaced with a typed function at the end\n\n    var typed = {\n      types: _types,\n      conversions: _conversions,\n      ignore: _ignore\n    };\n    /**\n     * Find the test function for a type\n     * @param {String} typeName\n     * @return {TypeDef} Returns the type definition when found,\n     *                    Throws a TypeError otherwise\n     */\n\n    function findTypeByName(typeName) {\n      var entry = findInArray(typed.types, function (entry) {\n        return entry.name === typeName;\n      });\n\n      if (entry) {\n        return entry;\n      }\n\n      if (typeName === 'any') {\n        // special baked-in case 'any'\n        return anyType;\n      }\n\n      var hint = findInArray(typed.types, function (entry) {\n        return entry.name.toLowerCase() === typeName.toLowerCase();\n      });\n      throw new TypeError('Unknown type \"' + typeName + '\"' + (hint ? '. Did you mean \"' + hint.name + '\"?' : ''));\n    }\n    /**\n     * Find the index of a type definition. Handles special case 'any'\n     * @param {TypeDef} type\n     * @return {number}\n     */\n\n\n    function findTypeIndex(type) {\n      if (type === anyType) {\n        return 999;\n      }\n\n      return typed.types.indexOf(type);\n    }\n    /**\n     * Find a type that matches a value.\n     * @param {*} value\n     * @return {string} Returns the name of the first type for which\n     *                  the type test matches the value.\n     */\n\n\n    function findTypeName(value) {\n      var entry = findInArray(typed.types, function (entry) {\n        return entry.test(value);\n      });\n\n      if (entry) {\n        return entry.name;\n      }\n\n      throw new TypeError('Value has unknown type. Value: ' + value);\n    }\n    /**\n     * Find a specific signature from a (composed) typed function, for example:\n     *\n     *   typed.find(fn, ['number', 'string'])\n     *   typed.find(fn, 'number, string')\n     *\n     * Function find only only works for exact matches.\n     *\n     * @param {Function} fn                   A typed-function\n     * @param {string | string[]} signature   Signature to be found, can be\n     *                                        an array or a comma separated string.\n     * @return {Function}                     Returns the matching signature, or\n     *                                        throws an error when no signature\n     *                                        is found.\n     */\n\n\n    function find(fn, signature) {\n      if (!fn.signatures) {\n        throw new TypeError('Function is no typed-function');\n      } // normalize input\n\n\n      var arr;\n\n      if (typeof signature === 'string') {\n        arr = signature.split(',');\n\n        for (var i = 0; i < arr.length; i++) {\n          arr[i] = arr[i].trim();\n        }\n      } else if (Array.isArray(signature)) {\n        arr = signature;\n      } else {\n        throw new TypeError('String array or a comma separated string expected');\n      }\n\n      var str = arr.join(','); // find an exact match\n\n      var match = fn.signatures[str];\n\n      if (match) {\n        return match;\n      } // TODO: extend find to match non-exact signatures\n\n\n      throw new TypeError('Signature not found (signature: ' + (fn.name || 'unnamed') + '(' + arr.join(', ') + '))');\n    }\n    /**\n     * Convert a given value to another data type.\n     * @param {*} value\n     * @param {string} type\n     */\n\n\n    function convert(value, type) {\n      var from = findTypeName(value); // check conversion is needed\n\n      if (type === from) {\n        return value;\n      }\n\n      for (var i = 0; i < typed.conversions.length; i++) {\n        var conversion = typed.conversions[i];\n\n        if (conversion.from === from && conversion.to === type) {\n          return conversion.convert(value);\n        }\n      }\n\n      throw new Error('Cannot convert from ' + from + ' to ' + type);\n    }\n    /**\n     * Stringify parameters in a normalized way\n     * @param {Param[]} params\n     * @return {string}\n     */\n\n\n    function stringifyParams(params) {\n      return params.map(function (param) {\n        var typeNames = param.types.map(getTypeName);\n        return (param.restParam ? '...' : '') + typeNames.join('|');\n      }).join(',');\n    }\n    /**\n     * Parse a parameter, like \"...number | boolean\"\n     * @param {string} param\n     * @param {ConversionDef[]} conversions\n     * @return {Param} param\n     */\n\n\n    function parseParam(param, conversions) {\n      var restParam = param.indexOf('...') === 0;\n      var types = !restParam ? param : param.length > 3 ? param.slice(3) : 'any';\n      var typeNames = types.split('|').map(trim).filter(notEmpty).filter(notIgnore);\n      var matchingConversions = filterConversions(conversions, typeNames);\n      var exactTypes = typeNames.map(function (typeName) {\n        var type = findTypeByName(typeName);\n        return {\n          name: typeName,\n          typeIndex: findTypeIndex(type),\n          test: type.test,\n          conversion: null,\n          conversionIndex: -1\n        };\n      });\n      var convertibleTypes = matchingConversions.map(function (conversion) {\n        var type = findTypeByName(conversion.from);\n        return {\n          name: conversion.from,\n          typeIndex: findTypeIndex(type),\n          test: type.test,\n          conversion: conversion,\n          conversionIndex: conversions.indexOf(conversion)\n        };\n      });\n      return {\n        types: exactTypes.concat(convertibleTypes),\n        restParam: restParam\n      };\n    }\n    /**\n     * Parse a signature with comma separated parameters,\n     * like \"number | boolean, ...string\"\n     * @param {string} signature\n     * @param {function} fn\n     * @param {ConversionDef[]} conversions\n     * @return {Signature | null} signature\n     */\n\n\n    function parseSignature(signature, fn, conversions) {\n      var params = [];\n\n      if (signature.trim() !== '') {\n        params = signature.split(',').map(trim).map(function (param, index, array) {\n          var parsedParam = parseParam(param, conversions);\n\n          if (parsedParam.restParam && index !== array.length - 1) {\n            throw new SyntaxError('Unexpected rest parameter \"' + param + '\": ' + 'only allowed for the last parameter');\n          }\n\n          return parsedParam;\n        });\n      }\n\n      if (params.some(isInvalidParam)) {\n        // invalid signature: at least one parameter has no types\n        // (they may have been filtered)\n        return null;\n      }\n\n      return {\n        params: params,\n        fn: fn\n      };\n    }\n    /**\n     * Test whether a set of params contains a restParam\n     * @param {Param[]} params\n     * @return {boolean} Returns true when the last parameter is a restParam\n     */\n\n\n    function hasRestParam(params) {\n      var param = last(params);\n      return param ? param.restParam : false;\n    }\n    /**\n     * Test whether a parameter contains conversions\n     * @param {Param} param\n     * @return {boolean} Returns true when at least one of the parameters\n     *                   contains a conversion.\n     */\n\n\n    function hasConversions(param) {\n      return param.types.some(function (type) {\n        return type.conversion != null;\n      });\n    }\n    /**\n     * Create a type test for a single parameter, which can have one or multiple\n     * types.\n     * @param {Param} param\n     * @return {function(x: *) : boolean} Returns a test function\n     */\n\n\n    function compileTest(param) {\n      if (!param || param.types.length === 0) {\n        // nothing to do\n        return ok;\n      } else if (param.types.length === 1) {\n        return findTypeByName(param.types[0].name).test;\n      } else if (param.types.length === 2) {\n        var test0 = findTypeByName(param.types[0].name).test;\n        var test1 = findTypeByName(param.types[1].name).test;\n        return function or(x) {\n          return test0(x) || test1(x);\n        };\n      } else {\n        // param.types.length > 2\n        var tests = param.types.map(function (type) {\n          return findTypeByName(type.name).test;\n        });\n        return function or(x) {\n          for (var i = 0; i < tests.length; i++) {\n            if (tests[i](x)) {\n              return true;\n            }\n          }\n\n          return false;\n        };\n      }\n    }\n    /**\n     * Create a test for all parameters of a signature\n     * @param {Param[]} params\n     * @return {function(args: Array<*>) : boolean}\n     */\n\n\n    function compileTests(params) {\n      var tests, test0, test1;\n\n      if (hasRestParam(params)) {\n        // variable arguments like '...number'\n        tests = initial(params).map(compileTest);\n        var varIndex = tests.length;\n        var lastTest = compileTest(last(params));\n\n        var testRestParam = function testRestParam(args) {\n          for (var i = varIndex; i < args.length; i++) {\n            if (!lastTest(args[i])) {\n              return false;\n            }\n          }\n\n          return true;\n        };\n\n        return function testArgs(args) {\n          for (var i = 0; i < tests.length; i++) {\n            if (!tests[i](args[i])) {\n              return false;\n            }\n          }\n\n          return testRestParam(args) && args.length >= varIndex + 1;\n        };\n      } else {\n        // no variable arguments\n        if (params.length === 0) {\n          return function testArgs(args) {\n            return args.length === 0;\n          };\n        } else if (params.length === 1) {\n          test0 = compileTest(params[0]);\n          return function testArgs(args) {\n            return test0(args[0]) && args.length === 1;\n          };\n        } else if (params.length === 2) {\n          test0 = compileTest(params[0]);\n          test1 = compileTest(params[1]);\n          return function testArgs(args) {\n            return test0(args[0]) && test1(args[1]) && args.length === 2;\n          };\n        } else {\n          // arguments.length > 2\n          tests = params.map(compileTest);\n          return function testArgs(args) {\n            for (var i = 0; i < tests.length; i++) {\n              if (!tests[i](args[i])) {\n                return false;\n              }\n            }\n\n            return args.length === tests.length;\n          };\n        }\n      }\n    }\n    /**\n     * Find the parameter at a specific index of a signature.\n     * Handles rest parameters.\n     * @param {Signature} signature\n     * @param {number} index\n     * @return {Param | null} Returns the matching parameter when found,\n     *                        null otherwise.\n     */\n\n\n    function getParamAtIndex(signature, index) {\n      return index < signature.params.length ? signature.params[index] : hasRestParam(signature.params) ? last(signature.params) : null;\n    }\n    /**\n     * Get all type names of a parameter\n     * @param {Signature} signature\n     * @param {number} index\n     * @param {boolean} excludeConversions\n     * @return {string[]} Returns an array with type names\n     */\n\n\n    function getExpectedTypeNames(signature, index, excludeConversions) {\n      var param = getParamAtIndex(signature, index);\n      var types = param ? excludeConversions ? param.types.filter(isExactType) : param.types : [];\n      return types.map(getTypeName);\n    }\n    /**\n     * Returns the name of a type\n     * @param {Type} type\n     * @return {string} Returns the type name\n     */\n\n\n    function getTypeName(type) {\n      return type.name;\n    }\n    /**\n     * Test whether a type is an exact type or conversion\n     * @param {Type} type\n     * @return {boolean} Returns true when\n     */\n\n\n    function isExactType(type) {\n      return type.conversion === null || type.conversion === undefined;\n    }\n    /**\n     * Helper function for creating error messages: create an array with\n     * all available types on a specific argument index.\n     * @param {Signature[]} signatures\n     * @param {number} index\n     * @return {string[]} Returns an array with available types\n     */\n\n\n    function mergeExpectedParams(signatures, index) {\n      var typeNames = uniq(flatMap(signatures, function (signature) {\n        return getExpectedTypeNames(signature, index, false);\n      }));\n      return typeNames.indexOf('any') !== -1 ? ['any'] : typeNames;\n    }\n    /**\n     * Create\n     * @param {string} name             The name of the function\n     * @param {array.<*>} args          The actual arguments passed to the function\n     * @param {Signature[]} signatures  A list with available signatures\n     * @return {TypeError} Returns a type error with additional data\n     *                     attached to it in the property `data`\n     */\n\n\n    function createError(name, args, signatures) {\n      var err, expected;\n\n      var _name = name || 'unnamed'; // test for wrong type at some index\n\n\n      var matchingSignatures = signatures;\n      var index;\n\n      for (index = 0; index < args.length; index++) {\n        var nextMatchingDefs = matchingSignatures.filter(function (signature) {\n          var test = compileTest(getParamAtIndex(signature, index));\n          return (index < signature.params.length || hasRestParam(signature.params)) && test(args[index]);\n        });\n\n        if (nextMatchingDefs.length === 0) {\n          // no matching signatures anymore, throw error \"wrong type\"\n          expected = mergeExpectedParams(matchingSignatures, index);\n\n          if (expected.length > 0) {\n            var actualType = findTypeName(args[index]);\n            err = new TypeError('Unexpected type of argument in function ' + _name + ' (expected: ' + expected.join(' or ') + ', actual: ' + actualType + ', index: ' + index + ')');\n            err.data = {\n              category: 'wrongType',\n              fn: _name,\n              index: index,\n              actual: actualType,\n              expected: expected\n            };\n            return err;\n          }\n        } else {\n          matchingSignatures = nextMatchingDefs;\n        }\n      } // test for too few arguments\n\n\n      var lengths = matchingSignatures.map(function (signature) {\n        return hasRestParam(signature.params) ? Infinity : signature.params.length;\n      });\n\n      if (args.length < Math.min.apply(null, lengths)) {\n        expected = mergeExpectedParams(matchingSignatures, index);\n        err = new TypeError('Too few arguments in function ' + _name + ' (expected: ' + expected.join(' or ') + ', index: ' + args.length + ')');\n        err.data = {\n          category: 'tooFewArgs',\n          fn: _name,\n          index: args.length,\n          expected: expected\n        };\n        return err;\n      } // test for too many arguments\n\n\n      var maxLength = Math.max.apply(null, lengths);\n\n      if (args.length > maxLength) {\n        err = new TypeError('Too many arguments in function ' + _name + ' (expected: ' + maxLength + ', actual: ' + args.length + ')');\n        err.data = {\n          category: 'tooManyArgs',\n          fn: _name,\n          index: args.length,\n          expectedLength: maxLength\n        };\n        return err;\n      }\n\n      err = new TypeError('Arguments of type \"' + args.join(', ') + '\" do not match any of the defined signatures of function ' + _name + '.');\n      err.data = {\n        category: 'mismatch',\n        actual: args.map(findTypeName)\n      };\n      return err;\n    }\n    /**\n     * Find the lowest index of all exact types of a parameter (no conversions)\n     * @param {Param} param\n     * @return {number} Returns the index of the lowest type in typed.types\n     */\n\n\n    function getLowestTypeIndex(param) {\n      var min = 999;\n\n      for (var i = 0; i < param.types.length; i++) {\n        if (isExactType(param.types[i])) {\n          min = Math.min(min, param.types[i].typeIndex);\n        }\n      }\n\n      return min;\n    }\n    /**\n     * Find the lowest index of the conversion of all types of the parameter\n     * having a conversion\n     * @param {Param} param\n     * @return {number} Returns the lowest index of the conversions of this type\n     */\n\n\n    function getLowestConversionIndex(param) {\n      var min = 999;\n\n      for (var i = 0; i < param.types.length; i++) {\n        if (!isExactType(param.types[i])) {\n          min = Math.min(min, param.types[i].conversionIndex);\n        }\n      }\n\n      return min;\n    }\n    /**\n     * Compare two params\n     * @param {Param} param1\n     * @param {Param} param2\n     * @return {number} returns a negative number when param1 must get a lower\n     *                  index than param2, a positive number when the opposite,\n     *                  or zero when both are equal\n     */\n\n\n    function compareParams(param1, param2) {\n      var c; // compare having a rest parameter or not\n\n      c = param1.restParam - param2.restParam;\n\n      if (c !== 0) {\n        return c;\n      } // compare having conversions or not\n\n\n      c = hasConversions(param1) - hasConversions(param2);\n\n      if (c !== 0) {\n        return c;\n      } // compare the index of the types\n\n\n      c = getLowestTypeIndex(param1) - getLowestTypeIndex(param2);\n\n      if (c !== 0) {\n        return c;\n      } // compare the index of any conversion\n\n\n      return getLowestConversionIndex(param1) - getLowestConversionIndex(param2);\n    }\n    /**\n     * Compare two signatures\n     * @param {Signature} signature1\n     * @param {Signature} signature2\n     * @return {number} returns a negative number when param1 must get a lower\n     *                  index than param2, a positive number when the opposite,\n     *                  or zero when both are equal\n     */\n\n\n    function compareSignatures(signature1, signature2) {\n      var len = Math.min(signature1.params.length, signature2.params.length);\n      var i;\n      var c; // compare whether the params have conversions at all or not\n\n      c = signature1.params.some(hasConversions) - signature2.params.some(hasConversions);\n\n      if (c !== 0) {\n        return c;\n      } // next compare whether the params have conversions one by one\n\n\n      for (i = 0; i < len; i++) {\n        c = hasConversions(signature1.params[i]) - hasConversions(signature2.params[i]);\n\n        if (c !== 0) {\n          return c;\n        }\n      } // compare the types of the params one by one\n\n\n      for (i = 0; i < len; i++) {\n        c = compareParams(signature1.params[i], signature2.params[i]);\n\n        if (c !== 0) {\n          return c;\n        }\n      } // compare the number of params\n\n\n      return signature1.params.length - signature2.params.length;\n    }\n    /**\n     * Get params containing all types that can be converted to the defined types.\n     *\n     * @param {ConversionDef[]} conversions\n     * @param {string[]} typeNames\n     * @return {ConversionDef[]} Returns the conversions that are available\n     *                        for every type (if any)\n     */\n\n\n    function filterConversions(conversions, typeNames) {\n      var matches = {};\n      conversions.forEach(function (conversion) {\n        if (typeNames.indexOf(conversion.from) === -1 && typeNames.indexOf(conversion.to) !== -1 && !matches[conversion.from]) {\n          matches[conversion.from] = conversion;\n        }\n      });\n      return Object.keys(matches).map(function (from) {\n        return matches[from];\n      });\n    }\n    /**\n     * Preprocess arguments before calling the original function:\n     * - if needed convert the parameters\n     * - in case of rest parameters, move the rest parameters into an Array\n     * @param {Param[]} params\n     * @param {function} fn\n     * @return {function} Returns a wrapped function\n     */\n\n\n    function compileArgsPreprocessing(params, fn) {\n      var fnConvert = fn; // TODO: can we make this wrapper function smarter/simpler?\n\n      if (params.some(hasConversions)) {\n        var restParam = hasRestParam(params);\n        var compiledConversions = params.map(compileArgConversion);\n\n        fnConvert = function convertArgs() {\n          var args = [];\n          var last = restParam ? arguments.length - 1 : arguments.length;\n\n          for (var i = 0; i < last; i++) {\n            args[i] = compiledConversions[i](arguments[i]);\n          }\n\n          if (restParam) {\n            args[last] = arguments[last].map(compiledConversions[last]);\n          }\n\n          return fn.apply(null, args);\n        };\n      }\n\n      var fnPreprocess = fnConvert;\n\n      if (hasRestParam(params)) {\n        var offset = params.length - 1;\n\n        fnPreprocess = function preprocessRestParams() {\n          return fnConvert.apply(null, slice(arguments, 0, offset).concat([slice(arguments, offset)]));\n        };\n      }\n\n      return fnPreprocess;\n    }\n    /**\n     * Compile conversion for a parameter to the right type\n     * @param {Param} param\n     * @return {function} Returns the wrapped function that will convert arguments\n     *\n     */\n\n\n    function compileArgConversion(param) {\n      var test0, test1, conversion0, conversion1;\n      var tests = [];\n      var conversions = [];\n      param.types.forEach(function (type) {\n        if (type.conversion) {\n          tests.push(findTypeByName(type.conversion.from).test);\n          conversions.push(type.conversion.convert);\n        }\n      }); // create optimized conversion functions depending on the number of conversions\n\n      switch (conversions.length) {\n        case 0:\n          return function convertArg(arg) {\n            return arg;\n          };\n\n        case 1:\n          test0 = tests[0];\n          conversion0 = conversions[0];\n          return function convertArg(arg) {\n            if (test0(arg)) {\n              return conversion0(arg);\n            }\n\n            return arg;\n          };\n\n        case 2:\n          test0 = tests[0];\n          test1 = tests[1];\n          conversion0 = conversions[0];\n          conversion1 = conversions[1];\n          return function convertArg(arg) {\n            if (test0(arg)) {\n              return conversion0(arg);\n            }\n\n            if (test1(arg)) {\n              return conversion1(arg);\n            }\n\n            return arg;\n          };\n\n        default:\n          return function convertArg(arg) {\n            for (var i = 0; i < conversions.length; i++) {\n              if (tests[i](arg)) {\n                return conversions[i](arg);\n              }\n            }\n\n            return arg;\n          };\n      }\n    }\n    /**\n     * Convert an array with signatures into a map with signatures,\n     * where signatures with union types are split into separate signatures\n     *\n     * Throws an error when there are conflicting types\n     *\n     * @param {Signature[]} signatures\n     * @return {Object.<string, function>}  Returns a map with signatures\n     *                                      as key and the original function\n     *                                      of this signature as value.\n     */\n\n\n    function createSignaturesMap(signatures) {\n      var signaturesMap = {};\n      signatures.forEach(function (signature) {\n        if (!signature.params.some(hasConversions)) {\n          splitParams(signature.params, true).forEach(function (params) {\n            signaturesMap[stringifyParams(params)] = signature.fn;\n          });\n        }\n      });\n      return signaturesMap;\n    }\n    /**\n     * Split params with union types in to separate params.\n     *\n     * For example:\n     *\n     *     splitParams([['Array', 'Object'], ['string', 'RegExp'])\n     *     // returns:\n     *     // [\n     *     //   ['Array', 'string'],\n     *     //   ['Array', 'RegExp'],\n     *     //   ['Object', 'string'],\n     *     //   ['Object', 'RegExp']\n     *     // ]\n     *\n     * @param {Param[]} params\n     * @param {boolean} ignoreConversionTypes\n     * @return {Param[]}\n     */\n\n\n    function splitParams(params, ignoreConversionTypes) {\n      function _splitParams(params, index, types) {\n        if (index < params.length) {\n          var param = params[index];\n          var filteredTypes = ignoreConversionTypes ? param.types.filter(isExactType) : param.types;\n          var typeGroups;\n\n          if (param.restParam) {\n            // split the types of a rest parameter in two:\n            // one with only exact types, and one with exact types and conversions\n            var exactTypes = filteredTypes.filter(isExactType);\n            typeGroups = exactTypes.length < filteredTypes.length ? [exactTypes, filteredTypes] : [filteredTypes];\n          } else {\n            // split all the types of a regular parameter into one type per group\n            typeGroups = filteredTypes.map(function (type) {\n              return [type];\n            });\n          } // recurse over the groups with types\n\n\n          return flatMap(typeGroups, function (typeGroup) {\n            return _splitParams(params, index + 1, types.concat([typeGroup]));\n          });\n        } else {\n          // we've reached the end of the parameters. Now build a new Param\n          var splittedParams = types.map(function (type, typeIndex) {\n            return {\n              types: type,\n              restParam: typeIndex === params.length - 1 && hasRestParam(params)\n            };\n          });\n          return [splittedParams];\n        }\n      }\n\n      return _splitParams(params, 0, []);\n    }\n    /**\n     * Test whether two signatures have a conflicting signature\n     * @param {Signature} signature1\n     * @param {Signature} signature2\n     * @return {boolean} Returns true when the signatures conflict, false otherwise.\n     */\n\n\n    function hasConflictingParams(signature1, signature2) {\n      var ii = Math.max(signature1.params.length, signature2.params.length);\n\n      for (var i = 0; i < ii; i++) {\n        var typesNames1 = getExpectedTypeNames(signature1, i, true);\n        var typesNames2 = getExpectedTypeNames(signature2, i, true);\n\n        if (!hasOverlap(typesNames1, typesNames2)) {\n          return false;\n        }\n      }\n\n      var len1 = signature1.params.length;\n      var len2 = signature2.params.length;\n      var restParam1 = hasRestParam(signature1.params);\n      var restParam2 = hasRestParam(signature2.params);\n      return restParam1 ? restParam2 ? len1 === len2 : len2 >= len1 : restParam2 ? len1 >= len2 : len1 === len2;\n    }\n    /**\n     * Create a typed function\n     * @param {String} name               The name for the typed function\n     * @param {Object.<string, function>} signaturesMap\n     *                                    An object with one or\n     *                                    multiple signatures as key, and the\n     *                                    function corresponding to the\n     *                                    signature as value.\n     * @return {function}  Returns the created typed function.\n     */\n\n\n    function createTypedFunction(name, signaturesMap) {\n      if (Object.keys(signaturesMap).length === 0) {\n        throw new SyntaxError('No signatures provided');\n      } // parse the signatures, and check for conflicts\n\n\n      var parsedSignatures = [];\n      Object.keys(signaturesMap).map(function (signature) {\n        return parseSignature(signature, signaturesMap[signature], typed.conversions);\n      }).filter(notNull).forEach(function (parsedSignature) {\n        // check whether this parameter conflicts with already parsed signatures\n        var conflictingSignature = findInArray(parsedSignatures, function (s) {\n          return hasConflictingParams(s, parsedSignature);\n        });\n\n        if (conflictingSignature) {\n          throw new TypeError('Conflicting signatures \"' + stringifyParams(conflictingSignature.params) + '\" and \"' + stringifyParams(parsedSignature.params) + '\".');\n        }\n\n        parsedSignatures.push(parsedSignature);\n      }); // split and filter the types of the signatures, and then order them\n\n      var signatures = flatMap(parsedSignatures, function (parsedSignature) {\n        var params = parsedSignature ? splitParams(parsedSignature.params, false) : [];\n        return params.map(function (params) {\n          return {\n            params: params,\n            fn: parsedSignature.fn\n          };\n        });\n      }).filter(notNull);\n      signatures.sort(compareSignatures); // we create a highly optimized checks for the first couple of signatures with max 2 arguments\n\n      var ok0 = signatures[0] && signatures[0].params.length <= 2 && !hasRestParam(signatures[0].params);\n      var ok1 = signatures[1] && signatures[1].params.length <= 2 && !hasRestParam(signatures[1].params);\n      var ok2 = signatures[2] && signatures[2].params.length <= 2 && !hasRestParam(signatures[2].params);\n      var ok3 = signatures[3] && signatures[3].params.length <= 2 && !hasRestParam(signatures[3].params);\n      var ok4 = signatures[4] && signatures[4].params.length <= 2 && !hasRestParam(signatures[4].params);\n      var ok5 = signatures[5] && signatures[5].params.length <= 2 && !hasRestParam(signatures[5].params);\n      var allOk = ok0 && ok1 && ok2 && ok3 && ok4 && ok5; // compile the tests\n\n      var tests = signatures.map(function (signature) {\n        return compileTests(signature.params);\n      });\n      var test00 = ok0 ? compileTest(signatures[0].params[0]) : notOk;\n      var test10 = ok1 ? compileTest(signatures[1].params[0]) : notOk;\n      var test20 = ok2 ? compileTest(signatures[2].params[0]) : notOk;\n      var test30 = ok3 ? compileTest(signatures[3].params[0]) : notOk;\n      var test40 = ok4 ? compileTest(signatures[4].params[0]) : notOk;\n      var test50 = ok5 ? compileTest(signatures[5].params[0]) : notOk;\n      var test01 = ok0 ? compileTest(signatures[0].params[1]) : notOk;\n      var test11 = ok1 ? compileTest(signatures[1].params[1]) : notOk;\n      var test21 = ok2 ? compileTest(signatures[2].params[1]) : notOk;\n      var test31 = ok3 ? compileTest(signatures[3].params[1]) : notOk;\n      var test41 = ok4 ? compileTest(signatures[4].params[1]) : notOk;\n      var test51 = ok5 ? compileTest(signatures[5].params[1]) : notOk; // compile the functions\n\n      var fns = signatures.map(function (signature) {\n        return compileArgsPreprocessing(signature.params, signature.fn);\n      });\n      var fn0 = ok0 ? fns[0] : undef;\n      var fn1 = ok1 ? fns[1] : undef;\n      var fn2 = ok2 ? fns[2] : undef;\n      var fn3 = ok3 ? fns[3] : undef;\n      var fn4 = ok4 ? fns[4] : undef;\n      var fn5 = ok5 ? fns[5] : undef;\n      var len0 = ok0 ? signatures[0].params.length : -1;\n      var len1 = ok1 ? signatures[1].params.length : -1;\n      var len2 = ok2 ? signatures[2].params.length : -1;\n      var len3 = ok3 ? signatures[3].params.length : -1;\n      var len4 = ok4 ? signatures[4].params.length : -1;\n      var len5 = ok5 ? signatures[5].params.length : -1; // simple and generic, but also slow\n\n      var iStart = allOk ? 6 : 0;\n      var iEnd = signatures.length;\n\n      var generic = function generic() {\n        'use strict';\n\n        for (var i = iStart; i < iEnd; i++) {\n          if (tests[i](arguments)) {\n            return fns[i].apply(null, arguments);\n          }\n        }\n\n        throw createError(name, arguments, signatures);\n      }; // create the typed function\n      // fast, specialized version. Falls back to the slower, generic one if needed\n\n\n      var fn = function fn(arg0, arg1) {\n        'use strict';\n\n        if (arguments.length === len0 && test00(arg0) && test01(arg1)) {\n          return fn0.apply(null, arguments);\n        }\n\n        if (arguments.length === len1 && test10(arg0) && test11(arg1)) {\n          return fn1.apply(null, arguments);\n        }\n\n        if (arguments.length === len2 && test20(arg0) && test21(arg1)) {\n          return fn2.apply(null, arguments);\n        }\n\n        if (arguments.length === len3 && test30(arg0) && test31(arg1)) {\n          return fn3.apply(null, arguments);\n        }\n\n        if (arguments.length === len4 && test40(arg0) && test41(arg1)) {\n          return fn4.apply(null, arguments);\n        }\n\n        if (arguments.length === len5 && test50(arg0) && test51(arg1)) {\n          return fn5.apply(null, arguments);\n        }\n\n        return generic.apply(null, arguments);\n      }; // attach name the typed function\n\n\n      try {\n        Object.defineProperty(fn, 'name', {\n          value: name\n        });\n      } catch (err) {} // old browsers do not support Object.defineProperty and some don't support setting the name property\n      // the function name is not essential for the functioning, it's mostly useful for debugging,\n      // so it's fine to have unnamed functions.\n      // attach signatures to the function\n\n\n      fn.signatures = createSignaturesMap(signatures);\n      return fn;\n    }\n    /**\n     * Test whether a type should be NOT be ignored\n     * @param {string} typeName\n     * @return {boolean}\n     */\n\n\n    function notIgnore(typeName) {\n      return typed.ignore.indexOf(typeName) === -1;\n    }\n    /**\n     * trim a string\n     * @param {string} str\n     * @return {string}\n     */\n\n\n    function trim(str) {\n      return str.trim();\n    }\n    /**\n     * Test whether a string is not empty\n     * @param {string} str\n     * @return {boolean}\n     */\n\n\n    function notEmpty(str) {\n      return !!str;\n    }\n    /**\n     * test whether a value is not strict equal to null\n     * @param {*} value\n     * @return {boolean}\n     */\n\n\n    function notNull(value) {\n      return value !== null;\n    }\n    /**\n     * Test whether a parameter has no types defined\n     * @param {Param} param\n     * @return {boolean}\n     */\n\n\n    function isInvalidParam(param) {\n      return param.types.length === 0;\n    }\n    /**\n     * Return all but the last items of an array\n     * @param {Array} arr\n     * @return {Array}\n     */\n\n\n    function initial(arr) {\n      return arr.slice(0, arr.length - 1);\n    }\n    /**\n     * return the last item of an array\n     * @param {Array} arr\n     * @return {*}\n     */\n\n\n    function last(arr) {\n      return arr[arr.length - 1];\n    }\n    /**\n     * Slice an array or function Arguments\n     * @param {Array | Arguments | IArguments} arr\n     * @param {number} start\n     * @param {number} [end]\n     * @return {Array}\n     */\n\n\n    function slice(arr, start, end) {\n      return Array.prototype.slice.call(arr, start, end);\n    }\n    /**\n     * Test whether an array contains some item\n     * @param {Array} array\n     * @param {*} item\n     * @return {boolean} Returns true if array contains item, false if not.\n     */\n\n\n    function contains(array, item) {\n      return array.indexOf(item) !== -1;\n    }\n    /**\n     * Test whether two arrays have overlapping items\n     * @param {Array} array1\n     * @param {Array} array2\n     * @return {boolean} Returns true when at least one item exists in both arrays\n     */\n\n\n    function hasOverlap(array1, array2) {\n      for (var i = 0; i < array1.length; i++) {\n        if (contains(array2, array1[i])) {\n          return true;\n        }\n      }\n\n      return false;\n    }\n    /**\n     * Return the first item from an array for which test(arr[i]) returns true\n     * @param {Array} arr\n     * @param {function} test\n     * @return {* | undefined} Returns the first matching item\n     *                         or undefined when there is no match\n     */\n\n\n    function findInArray(arr, test) {\n      for (var i = 0; i < arr.length; i++) {\n        if (test(arr[i])) {\n          return arr[i];\n        }\n      }\n\n      return undefined;\n    }\n    /**\n     * Filter unique items of an array with strings\n     * @param {string[]} arr\n     * @return {string[]}\n     */\n\n\n    function uniq(arr) {\n      var entries = {};\n\n      for (var i = 0; i < arr.length; i++) {\n        entries[arr[i]] = true;\n      }\n\n      return Object.keys(entries);\n    }\n    /**\n     * Flat map the result invoking a callback for every item in an array.\n     * https://gist.github.com/samgiles/762ee337dff48623e729\n     * @param {Array} arr\n     * @param {function} callback\n     * @return {Array}\n     */\n\n\n    function flatMap(arr, callback) {\n      return Array.prototype.concat.apply([], arr.map(callback));\n    }\n    /**\n     * Retrieve the function name from a set of typed functions,\n     * and check whether the name of all functions match (if given)\n     * @param {function[]} fns\n     */\n\n\n    function getName(fns) {\n      var name = '';\n\n      for (var i = 0; i < fns.length; i++) {\n        var fn = fns[i]; // check whether the names are the same when defined\n\n        if ((typeof fn.signatures === 'object' || typeof fn.signature === 'string') && fn.name !== '') {\n          if (name === '') {\n            name = fn.name;\n          } else if (name !== fn.name) {\n            var err = new Error('Function names do not match (expected: ' + name + ', actual: ' + fn.name + ')');\n            err.data = {\n              actual: fn.name,\n              expected: name\n            };\n            throw err;\n          }\n        }\n      }\n\n      return name;\n    } // extract and merge all signatures of a list with typed functions\n\n\n    function extractSignatures(fns) {\n      var err;\n      var signaturesMap = {};\n\n      function validateUnique(_signature, _fn) {\n        if (signaturesMap.hasOwnProperty(_signature) && _fn !== signaturesMap[_signature]) {\n          err = new Error('Signature \"' + _signature + '\" is defined twice');\n          err.data = {\n            signature: _signature\n          };\n          throw err; // else: both signatures point to the same function, that's fine\n        }\n      }\n\n      for (var i = 0; i < fns.length; i++) {\n        var fn = fns[i]; // test whether this is a typed-function\n\n        if (typeof fn.signatures === 'object') {\n          // merge the signatures\n          for (var signature in fn.signatures) {\n            if (fn.signatures.hasOwnProperty(signature)) {\n              validateUnique(signature, fn.signatures[signature]);\n              signaturesMap[signature] = fn.signatures[signature];\n            }\n          }\n        } else if (typeof fn.signature === 'string') {\n          validateUnique(fn.signature, fn);\n          signaturesMap[fn.signature] = fn;\n        } else {\n          err = new TypeError('Function is no typed-function (index: ' + i + ')');\n          err.data = {\n            index: i\n          };\n          throw err;\n        }\n      }\n\n      return signaturesMap;\n    }\n\n    typed = createTypedFunction('typed', {\n      'string, Object': createTypedFunction,\n      'Object': function Object(signaturesMap) {\n        // find existing name\n        var fns = [];\n\n        for (var signature in signaturesMap) {\n          if (signaturesMap.hasOwnProperty(signature)) {\n            fns.push(signaturesMap[signature]);\n          }\n        }\n\n        var name = getName(fns);\n        return createTypedFunction(name, signaturesMap);\n      },\n      '...Function': function Function(fns) {\n        return createTypedFunction(getName(fns), extractSignatures(fns));\n      },\n      'string, ...Function': function stringFunction(name, fns) {\n        return createTypedFunction(name, extractSignatures(fns));\n      }\n    });\n    typed.create = create;\n    typed.types = _types;\n    typed.conversions = _conversions;\n    typed.ignore = _ignore;\n    typed.convert = convert;\n    typed.find = find;\n    /**\n     * add a type\n     * @param {{name: string, test: function}} type\n     * @param {boolean} [beforeObjectTest=true]\n     *                          If true, the new test will be inserted before\n     *                          the test with name 'Object' (if any), since\n     *                          tests for Object match Array and classes too.\n     */\n\n    typed.addType = function (type, beforeObjectTest) {\n      if (!type || typeof type.name !== 'string' || typeof type.test !== 'function') {\n        throw new TypeError('Object with properties {name: string, test: function} expected');\n      }\n\n      if (beforeObjectTest !== false) {\n        for (var i = 0; i < typed.types.length; i++) {\n          if (typed.types[i].name === 'Object') {\n            typed.types.splice(i, 0, type);\n            return;\n          }\n        }\n      }\n\n      typed.types.push(type);\n    }; // add a conversion\n\n\n    typed.addConversion = function (conversion) {\n      if (!conversion || typeof conversion.from !== 'string' || typeof conversion.to !== 'string' || typeof conversion.convert !== 'function') {\n        throw new TypeError('Object with properties {from: string, to: string, convert: function} expected');\n      }\n\n      typed.conversions.push(conversion);\n    };\n\n    return typed;\n  }\n\n  return create();\n});","function E() {// Keep this empty so it's easier to inherit from\n  // (via https://github.com/lipsmack from https://github.com/scottcorgan/tiny-emitter/issues/3)\n}\n\nE.prototype = {\n  on: function on(name, callback, ctx) {\n    var e = this.e || (this.e = {});\n    (e[name] || (e[name] = [])).push({\n      fn: callback,\n      ctx: ctx\n    });\n    return this;\n  },\n  once: function once(name, callback, ctx) {\n    var self = this;\n\n    function listener() {\n      self.off(name, listener);\n      callback.apply(ctx, arguments);\n    }\n\n    ;\n    listener._ = callback;\n    return this.on(name, listener, ctx);\n  },\n  emit: function emit(name) {\n    var data = [].slice.call(arguments, 1);\n    var evtArr = ((this.e || (this.e = {}))[name] || []).slice();\n    var i = 0;\n    var len = evtArr.length;\n\n    for (i; i < len; i++) {\n      evtArr[i].fn.apply(evtArr[i].ctx, data);\n    }\n\n    return this;\n  },\n  off: function off(name, callback) {\n    var e = this.e || (this.e = {});\n    var evts = e[name];\n    var liveEvents = [];\n\n    if (evts && callback) {\n      for (var i = 0, len = evts.length; i < len; i++) {\n        if (evts[i].fn !== callback && evts[i].fn._ !== callback) liveEvents.push(evts[i]);\n      }\n    } // Remove event from queue to prevent memory leak\n    // Suggested by https://github.com/lazd\n    // Ref: https://github.com/scottcorgan/tiny-emitter/commit/c6ebfaa9bc973b33d110a84a307742b7cf94c953#commitcomment-5024910\n\n\n    liveEvents.length ? e[name] = liveEvents : delete e[name];\n    return this;\n  }\n};\nmodule.exports = E;","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar lazy = require('../../utils/object').lazy;\n\nvar isFactory = require('../../utils/object').isFactory;\n\nvar traverse = require('../../utils/object').traverse;\n\nvar ArgumentsError = require('../../error/ArgumentsError');\n\nfunction factory(type, config, load, typed, math) {\n  /**\n   * Import functions from an object or a module\n   *\n   * Syntax:\n   *\n   *    math.import(object)\n   *    math.import(object, options)\n   *\n   * Where:\n   *\n   * - `object: Object`\n   *   An object with functions to be imported.\n   * - `options: Object` An object with import options. Available options:\n   *   - `override: boolean`\n   *     If true, existing functions will be overwritten. False by default.\n   *   - `silent: boolean`\n   *     If true, the function will not throw errors on duplicates or invalid\n   *     types. False by default.\n   *   - `wrap: boolean`\n   *     If true, the functions will be wrapped in a wrapper function\n   *     which converts data types like Matrix to primitive data types like Array.\n   *     The wrapper is needed when extending math.js with libraries which do not\n   *     support these data type. False by default.\n   *\n   * Examples:\n   *\n   *    // define new functions and variables\n   *    math.import({\n   *      myvalue: 42,\n   *      hello: function (name) {\n   *        return 'hello, ' + name + '!'\n   *      }\n   *    })\n   *\n   *    // use the imported function and variable\n   *    math.myvalue * 2               // 84\n   *    math.hello('user')             // 'hello, user!'\n   *\n   *    // import the npm module 'numbers'\n   *    // (must be installed first with `npm install numbers`)\n   *    math.import(require('numbers'), {wrap: true})\n   *\n   *    math.fibonacci(7) // returns 13\n   *\n   * @param {Object | Array} object   Object with functions to be imported.\n   * @param {Object} [options]        Import options.\n   */\n  function mathImport(object, options) {\n    var num = arguments.length;\n\n    if (num !== 1 && num !== 2) {\n      throw new ArgumentsError('import', num, 1, 2);\n    }\n\n    if (!options) {\n      options = {};\n    } // TODO: allow a typed-function with name too\n\n\n    if (isFactory(object)) {\n      _importFactory(object, options);\n    } else if (Array.isArray(object)) {\n      object.forEach(function (entry) {\n        mathImport(entry, options);\n      });\n    } else if (_typeof(object) === 'object') {\n      // a map with functions\n      for (var name in object) {\n        if (object.hasOwnProperty(name)) {\n          var value = object[name];\n\n          if (isSupportedType(value)) {\n            _import(name, value, options);\n          } else if (isFactory(object)) {\n            _importFactory(object, options);\n          } else {\n            mathImport(value, options);\n          }\n        }\n      }\n    } else {\n      if (!options.silent) {\n        throw new TypeError('Factory, Object, or Array expected');\n      }\n    }\n  }\n  /**\n   * Add a property to the math namespace and create a chain proxy for it.\n   * @param {string} name\n   * @param {*} value\n   * @param {Object} options  See import for a description of the options\n   * @private\n   */\n\n\n  function _import(name, value, options) {\n    // TODO: refactor this function, it's to complicated and contains duplicate code\n    if (options.wrap && typeof value === 'function') {\n      // create a wrapper around the function\n      value = _wrap(value);\n    }\n\n    if (isTypedFunction(math[name]) && isTypedFunction(value)) {\n      if (options.override) {\n        // give the typed function the right name\n        value = typed(name, value.signatures);\n      } else {\n        // merge the existing and typed function\n        value = typed(math[name], value);\n      }\n\n      math[name] = value;\n\n      _importTransform(name, value);\n\n      math.emit('import', name, function resolver() {\n        return value;\n      });\n      return;\n    }\n\n    if (math[name] === undefined || options.override) {\n      math[name] = value;\n\n      _importTransform(name, value);\n\n      math.emit('import', name, function resolver() {\n        return value;\n      });\n      return;\n    }\n\n    if (!options.silent) {\n      throw new Error('Cannot import \"' + name + '\": already exists');\n    }\n  }\n\n  function _importTransform(name, value) {\n    if (value && typeof value.transform === 'function') {\n      math.expression.transform[name] = value.transform;\n\n      if (allowedInExpressions(name)) {\n        math.expression.mathWithTransform[name] = value.transform;\n      }\n    } else {\n      // remove existing transform\n      delete math.expression.transform[name];\n\n      if (allowedInExpressions(name)) {\n        math.expression.mathWithTransform[name] = value;\n      }\n    }\n  }\n\n  function _deleteTransform(name) {\n    delete math.expression.transform[name];\n\n    if (allowedInExpressions(name)) {\n      math.expression.mathWithTransform[name] = math[name];\n    } else {\n      delete math.expression.mathWithTransform[name];\n    }\n  }\n  /**\n   * Create a wrapper a round an function which converts the arguments\n   * to their primitive values (like convert a Matrix to Array)\n   * @param {Function} fn\n   * @return {Function} Returns the wrapped function\n   * @private\n   */\n\n\n  function _wrap(fn) {\n    var wrapper = function wrapper() {\n      var args = [];\n\n      for (var i = 0, len = arguments.length; i < len; i++) {\n        var arg = arguments[i];\n        args[i] = arg && arg.valueOf();\n      }\n\n      return fn.apply(math, args);\n    };\n\n    if (fn.transform) {\n      wrapper.transform = fn.transform;\n    }\n\n    return wrapper;\n  }\n  /**\n   * Import an instance of a factory into math.js\n   * @param {{factory: Function, name: string, path: string, math: boolean}} factory\n   * @param {Object} options  See import for a description of the options\n   * @private\n   */\n\n\n  function _importFactory(factory, options) {\n    if (typeof factory.name === 'string') {\n      var name = factory.name;\n      var existingTransform = name in math.expression.transform;\n      var namespace = factory.path ? traverse(math, factory.path) : math;\n      var existing = namespace.hasOwnProperty(name) ? namespace[name] : undefined;\n\n      var resolver = function resolver() {\n        var instance = load(factory);\n\n        if (instance && typeof instance.transform === 'function') {\n          throw new Error('Transforms cannot be attached to factory functions. ' + 'Please create a separate function for it with exports.path=\"expression.transform\"');\n        }\n\n        if (isTypedFunction(existing) && isTypedFunction(instance)) {\n          if (options.override) {// replace the existing typed function (nothing to do)\n          } else {\n            // merge the existing and new typed function\n            instance = typed(existing, instance);\n          }\n\n          return instance;\n        }\n\n        if (existing === undefined || options.override) {\n          return instance;\n        }\n\n        if (!options.silent) {\n          throw new Error('Cannot import \"' + name + '\": already exists');\n        }\n      };\n\n      if (factory.lazy !== false) {\n        lazy(namespace, name, resolver);\n\n        if (existingTransform) {\n          _deleteTransform(name);\n        } else {\n          if (factory.path === 'expression.transform' || factoryAllowedInExpressions(factory)) {\n            lazy(math.expression.mathWithTransform, name, resolver);\n          }\n        }\n      } else {\n        namespace[name] = resolver();\n\n        if (existingTransform) {\n          _deleteTransform(name);\n        } else {\n          if (factory.path === 'expression.transform' || factoryAllowedInExpressions(factory)) {\n            math.expression.mathWithTransform[name] = resolver();\n          }\n        }\n      }\n\n      math.emit('import', name, resolver, factory.path);\n    } else {\n      // unnamed factory.\n      // no lazy loading\n      load(factory);\n    }\n  }\n  /**\n   * Check whether given object is a type which can be imported\n   * @param {Function | number | string | boolean | null | Unit | Complex} object\n   * @return {boolean}\n   * @private\n   */\n\n\n  function isSupportedType(object) {\n    return typeof object === 'function' || typeof object === 'number' || typeof object === 'string' || typeof object === 'boolean' || object === null || object && type.isUnit(object) || object && type.isComplex(object) || object && type.isBigNumber(object) || object && type.isFraction(object) || object && type.isMatrix(object) || object && Array.isArray(object);\n  }\n  /**\n   * Test whether a given thing is a typed-function\n   * @param {*} fn\n   * @return {boolean} Returns true when `fn` is a typed-function\n   */\n\n\n  function isTypedFunction(fn) {\n    return typeof fn === 'function' && _typeof(fn.signatures) === 'object';\n  }\n\n  function allowedInExpressions(name) {\n    return !unsafe.hasOwnProperty(name);\n  }\n\n  function factoryAllowedInExpressions(factory) {\n    return factory.path === undefined && !unsafe.hasOwnProperty(factory.name);\n  } // namespaces and functions not available in the parser for safety reasons\n\n\n  var unsafe = {\n    'expression': true,\n    'type': true,\n    'docs': true,\n    'error': true,\n    'json': true,\n    'chain': true // chain method not supported. Note that there is a unit chain too.\n\n  };\n  return mathImport;\n}\n\nexports.math = true; // request access to the math namespace as 5th argument of the factory function\n\nexports.name = 'import';\nexports.factory = factory;\nexports.lazy = true;","'use strict';\n\nvar object = require('../../utils/object');\n\nfunction factory(type, config, load, typed, math) {\n  var MATRIX = ['Matrix', 'Array']; // valid values for option matrix\n\n  var NUMBER = ['number', 'BigNumber', 'Fraction']; // valid values for option number\n\n  /**\n   * Set configuration options for math.js, and get current options.\n   * Will emit a 'config' event, with arguments (curr, prev, changes).\n   *\n   * Syntax:\n   *\n   *     math.config(config: Object): Object\n   *\n   * Examples:\n   *\n   *     math.config().number                // outputs 'number'\n   *     math.eval('0.4')                    // outputs number 0.4\n   *     math.config({number: 'Fraction'})\n   *     math.eval('0.4')                    // outputs Fraction 2/5\n   *\n   * @param {Object} [options] Available options:\n   *                            {number} epsilon\n   *                              Minimum relative difference between two\n   *                              compared values, used by all comparison functions.\n   *                            {string} matrix\n   *                              A string 'Matrix' (default) or 'Array'.\n   *                            {string} number\n   *                              A string 'number' (default), 'BigNumber', or 'Fraction'\n   *                            {number} precision\n   *                              The number of significant digits for BigNumbers.\n   *                              Not applicable for Numbers.\n   *                            {string} parenthesis\n   *                              How to display parentheses in LaTeX and string\n   *                              output.\n   *                            {string} randomSeed\n   *                              Random seed for seeded pseudo random number generator.\n   *                              Set to null to randomly seed.\n   * @return {Object} Returns the current configuration\n   */\n\n  function _config(options) {\n    if (options) {\n      var prev = object.map(config, object.clone); // validate some of the options\n\n      validateOption(options, 'matrix', MATRIX);\n      validateOption(options, 'number', NUMBER); // merge options\n\n      object.deepExtend(config, options);\n      var curr = object.map(config, object.clone);\n      var changes = object.map(options, object.clone); // emit 'config' event\n\n      math.emit('config', curr, prev, changes);\n      return curr;\n    } else {\n      return object.map(config, object.clone);\n    }\n  } // attach the valid options to the function so they can be extended\n\n\n  _config.MATRIX = MATRIX;\n  _config.NUMBER = NUMBER;\n  return _config;\n}\n/**\n * Test whether an Array contains a specific item.\n * @param {Array.<string>} array\n * @param {string} item\n * @return {boolean}\n */\n\n\nfunction contains(array, item) {\n  return array.indexOf(item) !== -1;\n}\n/**\n * Find a string in an array. Case insensitive search\n * @param {Array.<string>} array\n * @param {string} item\n * @return {number} Returns the index when found. Returns -1 when not found\n */\n\n\nfunction findIndex(array, item) {\n  return array.map(function (i) {\n    return i.toLowerCase();\n  }).indexOf(item.toLowerCase());\n}\n/**\n * Validate an option\n * @param {Object} options         Object with options\n * @param {string} name            Name of the option to validate\n * @param {Array.<string>} values  Array with valid values for this option\n */\n\n\nfunction validateOption(options, name, values) {\n  if (options[name] !== undefined && !contains(values, options[name])) {\n    var index = findIndex(values, options[name]);\n\n    if (index !== -1) {\n      // right value, wrong casing\n      // TODO: lower case values are deprecated since v3, remove this warning some day.\n      console.warn('Warning: Wrong casing for configuration option \"' + name + '\", should be \"' + values[index] + '\" instead of \"' + options[name] + '\".');\n      options[name] = values[index]; // change the option to the right casing\n    } else {\n      // unknown value\n      console.warn('Warning: Unknown value \"' + options[name] + '\" for configuration option \"' + name + '\". Available options: ' + values.map(JSON.stringify).join(', ') + '.');\n    }\n  }\n}\n\nexports.name = 'config';\nexports.math = true; // request the math namespace as fifth argument\n\nexports.factory = factory;","\"use strict\"; // This file contains all factory functions of math.js\n\nmodule.exports = [require('./type'), // data types (Matrix, Complex, Unit, ...)\nrequire('./constants'), // constants\nrequire('./function'), // functions\n// load ./expression *after* ./function since we need to\n// attach transforms to functions that are imported there\nrequire('./expression'), // expression parsing\nrequire('./json'), // serialization utility (math.json.reviver)\nrequire('./error') // errors\n];","'use strict';\n\nmodule.exports = [require('./bignumber'), require('./boolean'), require('./chain'), require('./complex'), require('./fraction'), require('./matrix'), require('./number'), require('./numeric'), require('./resultset'), require('./string'), require('./unit')];","'use strict';\n\nmodule.exports = [// type\nrequire('./BigNumber'), // construction function\nrequire('./function/bignumber')];","'use strict';\n\nObject.defineProperty(exports, \"__esModule\", {\n  value: true\n});\nexports.factory = factory;\nexports.math = exports.path = exports.name = void 0;\n\nvar _decimal = _interopRequireDefault(require(\"decimal.js\"));\n\nfunction _interopRequireDefault(obj) {\n  return obj && obj.__esModule ? obj : {\n    default: obj\n  };\n}\n\nfunction factory(type, config, load, typed, math) {\n  var BigNumber = _decimal.default.clone({\n    precision: config.precision\n  });\n  /**\n   * Attach type information\n   */\n\n\n  BigNumber.prototype.type = 'BigNumber';\n  BigNumber.prototype.isBigNumber = true;\n  /**\n   * Get a JSON representation of a BigNumber containing\n   * type information\n   * @returns {Object} Returns a JSON object structured as:\n   *                   `{\"mathjs\": \"BigNumber\", \"value\": \"0.2\"}`\n   */\n\n  BigNumber.prototype.toJSON = function () {\n    return {\n      mathjs: 'BigNumber',\n      value: this.toString()\n    };\n  };\n  /**\n   * Instantiate a BigNumber from a JSON object\n   * @param {Object} json  a JSON object structured as:\n   *                       `{\"mathjs\": \"BigNumber\", \"value\": \"0.2\"}`\n   * @return {BigNumber}\n   */\n\n\n  BigNumber.fromJSON = function (json) {\n    return new BigNumber(json.value);\n  }; // listen for changed in the configuration, automatically apply changed precision\n\n\n  math.on('config', function (curr, prev) {\n    if (curr.precision !== prev.precision) {\n      BigNumber.config({\n        precision: curr.precision\n      });\n    }\n  });\n  return BigNumber;\n}\n\nvar name = 'BigNumber';\nexports.name = name;\nvar path = 'type';\nexports.path = path;\nvar math = true; // request access to the math namespace\n\nexports.math = math;","/*! decimal.js v10.0.1 https://github.com/MikeMcl/decimal.js/LICENCE */\n;\n\n(function (globalScope) {\n  'use strict';\n  /*\r\n   *  decimal.js v10.0.1\r\n   *  An arbitrary-precision Decimal type for JavaScript.\r\n   *  https://github.com/MikeMcl/decimal.js\r\n   *  Copyright (c) 2017 Michael Mclaughlin <M8ch88l@gmail.com>\r\n   *  MIT Licence\r\n   */\n  // -----------------------------------  EDITABLE DEFAULTS  ------------------------------------ //\n  // The maximum exponent magnitude.\n  // The limit on the value of `toExpNeg`, `toExpPos`, `minE` and `maxE`.\n\n  var EXP_LIMIT = 9e15,\n      // 0 to 9e15\n  // The limit on the value of `precision`, and on the value of the first argument to\n  // `toDecimalPlaces`, `toExponential`, `toFixed`, `toPrecision` and `toSignificantDigits`.\n  MAX_DIGITS = 1e9,\n      // 0 to 1e9\n  // Base conversion alphabet.\n  NUMERALS = '0123456789abcdef',\n      // The natural logarithm of 10 (1025 digits).\n  LN10 = '2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058',\n      // Pi (1025 digits).\n  PI = '3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789',\n      // The initial configuration properties of the Decimal constructor.\n  DEFAULTS = {\n    // These values must be integers within the stated ranges (inclusive).\n    // Most of these values can be changed at run-time using the `Decimal.config` method.\n    // The maximum number of significant digits of the result of a calculation or base conversion.\n    // E.g. `Decimal.config({ precision: 20 });`\n    precision: 20,\n    // 1 to MAX_DIGITS\n    // The rounding mode used when rounding to `precision`.\n    //\n    // ROUND_UP         0 Away from zero.\n    // ROUND_DOWN       1 Towards zero.\n    // ROUND_CEIL       2 Towards +Infinity.\n    // ROUND_FLOOR      3 Towards -Infinity.\n    // ROUND_HALF_UP    4 Towards nearest neighbour. If equidistant, up.\n    // ROUND_HALF_DOWN  5 Towards nearest neighbour. If equidistant, down.\n    // ROUND_HALF_EVEN  6 Towards nearest neighbour. If equidistant, towards even neighbour.\n    // ROUND_HALF_CEIL  7 Towards nearest neighbour. If equidistant, towards +Infinity.\n    // ROUND_HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.\n    //\n    // E.g.\n    // `Decimal.rounding = 4;`\n    // `Decimal.rounding = Decimal.ROUND_HALF_UP;`\n    rounding: 4,\n    // 0 to 8\n    // The modulo mode used when calculating the modulus: a mod n.\n    // The quotient (q = a / n) is calculated according to the corresponding rounding mode.\n    // The remainder (r) is calculated as: r = a - n * q.\n    //\n    // UP         0 The remainder is positive if the dividend is negative, else is negative.\n    // DOWN       1 The remainder has the same sign as the dividend (JavaScript %).\n    // FLOOR      3 The remainder has the same sign as the divisor (Python %).\n    // HALF_EVEN  6 The IEEE 754 remainder function.\n    // EUCLID     9 Euclidian division. q = sign(n) * floor(a / abs(n)). Always positive.\n    //\n    // Truncated division (1), floored division (3), the IEEE 754 remainder (6), and Euclidian\n    // division (9) are commonly used for the modulus operation. The other rounding modes can also\n    // be used, but they may not give useful results.\n    modulo: 1,\n    // 0 to 9\n    // The exponent value at and beneath which `toString` returns exponential notation.\n    // JavaScript numbers: -7\n    toExpNeg: -7,\n    // 0 to -EXP_LIMIT\n    // The exponent value at and above which `toString` returns exponential notation.\n    // JavaScript numbers: 21\n    toExpPos: 21,\n    // 0 to EXP_LIMIT\n    // The minimum exponent value, beneath which underflow to zero occurs.\n    // JavaScript numbers: -324  (5e-324)\n    minE: -EXP_LIMIT,\n    // -1 to -EXP_LIMIT\n    // The maximum exponent value, above which overflow to Infinity occurs.\n    // JavaScript numbers: 308  (1.7976931348623157e+308)\n    maxE: EXP_LIMIT,\n    // 1 to EXP_LIMIT\n    // Whether to use cryptographically-secure random number generation, if available.\n    crypto: false // true/false\n\n  },\n      // ----------------------------------- END OF EDITABLE DEFAULTS ------------------------------- //\n  Decimal,\n      inexact,\n      noConflict,\n      quadrant,\n      external = true,\n      decimalError = '[DecimalError] ',\n      invalidArgument = decimalError + 'Invalid argument: ',\n      precisionLimitExceeded = decimalError + 'Precision limit exceeded',\n      cryptoUnavailable = decimalError + 'crypto unavailable',\n      mathfloor = Math.floor,\n      mathpow = Math.pow,\n      isBinary = /^0b([01]+(\\.[01]*)?|\\.[01]+)(p[+-]?\\d+)?$/i,\n      isHex = /^0x([0-9a-f]+(\\.[0-9a-f]*)?|\\.[0-9a-f]+)(p[+-]?\\d+)?$/i,\n      isOctal = /^0o([0-7]+(\\.[0-7]*)?|\\.[0-7]+)(p[+-]?\\d+)?$/i,\n      isDecimal = /^(\\d+(\\.\\d*)?|\\.\\d+)(e[+-]?\\d+)?$/i,\n      BASE = 1e7,\n      LOG_BASE = 7,\n      MAX_SAFE_INTEGER = 9007199254740991,\n      LN10_PRECISION = LN10.length - 1,\n      PI_PRECISION = PI.length - 1,\n      // Decimal.prototype object\n  P = {\n    name: '[object Decimal]'\n  }; // Decimal prototype methods\n\n  /*\r\n   *  absoluteValue             abs\r\n   *  ceil\r\n   *  comparedTo                cmp\r\n   *  cosine                    cos\r\n   *  cubeRoot                  cbrt\r\n   *  decimalPlaces             dp\r\n   *  dividedBy                 div\r\n   *  dividedToIntegerBy        divToInt\r\n   *  equals                    eq\r\n   *  floor\r\n   *  greaterThan               gt\r\n   *  greaterThanOrEqualTo      gte\r\n   *  hyperbolicCosine          cosh\r\n   *  hyperbolicSine            sinh\r\n   *  hyperbolicTangent         tanh\r\n   *  inverseCosine             acos\r\n   *  inverseHyperbolicCosine   acosh\r\n   *  inverseHyperbolicSine     asinh\r\n   *  inverseHyperbolicTangent  atanh\r\n   *  inverseSine               asin\r\n   *  inverseTangent            atan\r\n   *  isFinite\r\n   *  isInteger                 isInt\r\n   *  isNaN\r\n   *  isNegative                isNeg\r\n   *  isPositive                isPos\r\n   *  isZero\r\n   *  lessThan                  lt\r\n   *  lessThanOrEqualTo         lte\r\n   *  logarithm                 log\r\n   *  [maximum]                 [max]\r\n   *  [minimum]                 [min]\r\n   *  minus                     sub\r\n   *  modulo                    mod\r\n   *  naturalExponential        exp\r\n   *  naturalLogarithm          ln\r\n   *  negated                   neg\r\n   *  plus                      add\r\n   *  precision                 sd\r\n   *  round\r\n   *  sine                      sin\r\n   *  squareRoot                sqrt\r\n   *  tangent                   tan\r\n   *  times                     mul\r\n   *  toBinary\r\n   *  toDecimalPlaces           toDP\r\n   *  toExponential\r\n   *  toFixed\r\n   *  toFraction\r\n   *  toHexadecimal             toHex\r\n   *  toNearest\r\n   *  toNumber\r\n   *  toOctal\r\n   *  toPower                   pow\r\n   *  toPrecision\r\n   *  toSignificantDigits       toSD\r\n   *  toString\r\n   *  truncated                 trunc\r\n   *  valueOf                   toJSON\r\n   */\n\n  /*\r\n   * Return a new Decimal whose value is the absolute value of this Decimal.\r\n   *\r\n   */\n\n  P.absoluteValue = P.abs = function () {\n    var x = new this.constructor(this);\n    if (x.s < 0) x.s = 1;\n    return finalise(x);\n  };\n  /*\r\n   * Return a new Decimal whose value is the value of this Decimal rounded to a whole number in the\r\n   * direction of positive Infinity.\r\n   *\r\n   */\n\n\n  P.ceil = function () {\n    return finalise(new this.constructor(this), this.e + 1, 2);\n  };\n  /*\r\n   * Return\r\n   *   1    if the value of this Decimal is greater than the value of `y`,\r\n   *  -1    if the value of this Decimal is less than the value of `y`,\r\n   *   0    if they have the same value,\r\n   *   NaN  if the value of either Decimal is NaN.\r\n   *\r\n   */\n\n\n  P.comparedTo = P.cmp = function (y) {\n    var i,\n        j,\n        xdL,\n        ydL,\n        x = this,\n        xd = x.d,\n        yd = (y = new x.constructor(y)).d,\n        xs = x.s,\n        ys = y.s; // Either NaN or ±Infinity?\n\n    if (!xd || !yd) {\n      return !xs || !ys ? NaN : xs !== ys ? xs : xd === yd ? 0 : !xd ^ xs < 0 ? 1 : -1;\n    } // Either zero?\n\n\n    if (!xd[0] || !yd[0]) return xd[0] ? xs : yd[0] ? -ys : 0; // Signs differ?\n\n    if (xs !== ys) return xs; // Compare exponents.\n\n    if (x.e !== y.e) return x.e > y.e ^ xs < 0 ? 1 : -1;\n    xdL = xd.length;\n    ydL = yd.length; // Compare digit by digit.\n\n    for (i = 0, j = xdL < ydL ? xdL : ydL; i < j; ++i) {\n      if (xd[i] !== yd[i]) return xd[i] > yd[i] ^ xs < 0 ? 1 : -1;\n    } // Compare lengths.\n\n\n    return xdL === ydL ? 0 : xdL > ydL ^ xs < 0 ? 1 : -1;\n  };\n  /*\r\n   * Return a new Decimal whose value is the cosine of the value in radians of this Decimal.\r\n   *\r\n   * Domain: [-Infinity, Infinity]\r\n   * Range: [-1, 1]\r\n   *\r\n   * cos(0)         = 1\r\n   * cos(-0)        = 1\r\n   * cos(Infinity)  = NaN\r\n   * cos(-Infinity) = NaN\r\n   * cos(NaN)       = NaN\r\n   *\r\n   */\n\n\n  P.cosine = P.cos = function () {\n    var pr,\n        rm,\n        x = this,\n        Ctor = x.constructor;\n    if (!x.d) return new Ctor(NaN); // cos(0) = cos(-0) = 1\n\n    if (!x.d[0]) return new Ctor(1);\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n    Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE;\n    Ctor.rounding = 1;\n    x = cosine(Ctor, toLessThanHalfPi(Ctor, x));\n    Ctor.precision = pr;\n    Ctor.rounding = rm;\n    return finalise(quadrant == 2 || quadrant == 3 ? x.neg() : x, pr, rm, true);\n  };\n  /*\r\n   *\r\n   * Return a new Decimal whose value is the cube root of the value of this Decimal, rounded to\r\n   * `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   *  cbrt(0)  =  0\r\n   *  cbrt(-0) = -0\r\n   *  cbrt(1)  =  1\r\n   *  cbrt(-1) = -1\r\n   *  cbrt(N)  =  N\r\n   *  cbrt(-I) = -I\r\n   *  cbrt(I)  =  I\r\n   *\r\n   * Math.cbrt(x) = (x < 0 ? -Math.pow(-x, 1/3) : Math.pow(x, 1/3))\r\n   *\r\n   */\n\n\n  P.cubeRoot = P.cbrt = function () {\n    var e,\n        m,\n        n,\n        r,\n        rep,\n        s,\n        sd,\n        t,\n        t3,\n        t3plusx,\n        x = this,\n        Ctor = x.constructor;\n    if (!x.isFinite() || x.isZero()) return new Ctor(x);\n    external = false; // Initial estimate.\n\n    s = x.s * Math.pow(x.s * x, 1 / 3); // Math.cbrt underflow/overflow?\n    // Pass x to Math.pow as integer, then adjust the exponent of the result.\n\n    if (!s || Math.abs(s) == 1 / 0) {\n      n = digitsToString(x.d);\n      e = x.e; // Adjust n exponent so it is a multiple of 3 away from x exponent.\n\n      if (s = (e - n.length + 1) % 3) n += s == 1 || s == -2 ? '0' : '00';\n      s = Math.pow(n, 1 / 3); // Rarely, e may be one less than the result exponent value.\n\n      e = mathfloor((e + 1) / 3) - (e % 3 == (e < 0 ? -1 : 2));\n\n      if (s == 1 / 0) {\n        n = '5e' + e;\n      } else {\n        n = s.toExponential();\n        n = n.slice(0, n.indexOf('e') + 1) + e;\n      }\n\n      r = new Ctor(n);\n      r.s = x.s;\n    } else {\n      r = new Ctor(s.toString());\n    }\n\n    sd = (e = Ctor.precision) + 3; // Halley's method.\n    // TODO? Compare Newton's method.\n\n    for (;;) {\n      t = r;\n      t3 = t.times(t).times(t);\n      t3plusx = t3.plus(x);\n      r = divide(t3plusx.plus(x).times(t), t3plusx.plus(t3), sd + 2, 1); // TODO? Replace with for-loop and checkRoundingDigits.\n\n      if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) {\n        n = n.slice(sd - 3, sd + 1); // The 4th rounding digit may be in error by -1 so if the 4 rounding digits are 9999 or 4999\n        // , i.e. approaching a rounding boundary, continue the iteration.\n\n        if (n == '9999' || !rep && n == '4999') {\n          // On the first iteration only, check to see if rounding up gives the exact result as the\n          // nines may infinitely repeat.\n          if (!rep) {\n            finalise(t, e + 1, 0);\n\n            if (t.times(t).times(t).eq(x)) {\n              r = t;\n              break;\n            }\n          }\n\n          sd += 4;\n          rep = 1;\n        } else {\n          // If the rounding digits are null, 0{0,4} or 50{0,3}, check for an exact result.\n          // If not, then there are further digits and m will be truthy.\n          if (!+n || !+n.slice(1) && n.charAt(0) == '5') {\n            // Truncate to the first rounding digit.\n            finalise(r, e + 1, 1);\n            m = !r.times(r).times(r).eq(x);\n          }\n\n          break;\n        }\n      }\n    }\n\n    external = true;\n    return finalise(r, e, Ctor.rounding, m);\n  };\n  /*\r\n   * Return the number of decimal places of the value of this Decimal.\r\n   *\r\n   */\n\n\n  P.decimalPlaces = P.dp = function () {\n    var w,\n        d = this.d,\n        n = NaN;\n\n    if (d) {\n      w = d.length - 1;\n      n = (w - mathfloor(this.e / LOG_BASE)) * LOG_BASE; // Subtract the number of trailing zeros of the last word.\n\n      w = d[w];\n      if (w) for (; w % 10 == 0; w /= 10) {\n        n--;\n      }\n      if (n < 0) n = 0;\n    }\n\n    return n;\n  };\n  /*\r\n   *  n / 0 = I\r\n   *  n / N = N\r\n   *  n / I = 0\r\n   *  0 / n = 0\r\n   *  0 / 0 = N\r\n   *  0 / N = N\r\n   *  0 / I = 0\r\n   *  N / n = N\r\n   *  N / 0 = N\r\n   *  N / N = N\r\n   *  N / I = N\r\n   *  I / n = I\r\n   *  I / 0 = I\r\n   *  I / N = N\r\n   *  I / I = N\r\n   *\r\n   * Return a new Decimal whose value is the value of this Decimal divided by `y`, rounded to\r\n   * `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   */\n\n\n  P.dividedBy = P.div = function (y) {\n    return divide(this, new this.constructor(y));\n  };\n  /*\r\n   * Return a new Decimal whose value is the integer part of dividing the value of this Decimal\r\n   * by the value of `y`, rounded to `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   */\n\n\n  P.dividedToIntegerBy = P.divToInt = function (y) {\n    var x = this,\n        Ctor = x.constructor;\n    return finalise(divide(x, new Ctor(y), 0, 1, 1), Ctor.precision, Ctor.rounding);\n  };\n  /*\r\n   * Return true if the value of this Decimal is equal to the value of `y`, otherwise return false.\r\n   *\r\n   */\n\n\n  P.equals = P.eq = function (y) {\n    return this.cmp(y) === 0;\n  };\n  /*\r\n   * Return a new Decimal whose value is the value of this Decimal rounded to a whole number in the\r\n   * direction of negative Infinity.\r\n   *\r\n   */\n\n\n  P.floor = function () {\n    return finalise(new this.constructor(this), this.e + 1, 3);\n  };\n  /*\r\n   * Return true if the value of this Decimal is greater than the value of `y`, otherwise return\r\n   * false.\r\n   *\r\n   */\n\n\n  P.greaterThan = P.gt = function (y) {\n    return this.cmp(y) > 0;\n  };\n  /*\r\n   * Return true if the value of this Decimal is greater than or equal to the value of `y`,\r\n   * otherwise return false.\r\n   *\r\n   */\n\n\n  P.greaterThanOrEqualTo = P.gte = function (y) {\n    var k = this.cmp(y);\n    return k == 1 || k === 0;\n  };\n  /*\r\n   * Return a new Decimal whose value is the hyperbolic cosine of the value in radians of this\r\n   * Decimal.\r\n   *\r\n   * Domain: [-Infinity, Infinity]\r\n   * Range: [1, Infinity]\r\n   *\r\n   * cosh(x) = 1 + x^2/2! + x^4/4! + x^6/6! + ...\r\n   *\r\n   * cosh(0)         = 1\r\n   * cosh(-0)        = 1\r\n   * cosh(Infinity)  = Infinity\r\n   * cosh(-Infinity) = Infinity\r\n   * cosh(NaN)       = NaN\r\n   *\r\n   *  x        time taken (ms)   result\r\n   * 1000      9                 9.8503555700852349694e+433\r\n   * 10000     25                4.4034091128314607936e+4342\r\n   * 100000    171               1.4033316802130615897e+43429\r\n   * 1000000   3817              1.5166076984010437725e+434294\r\n   * 10000000  abandoned after 2 minute wait\r\n   *\r\n   * TODO? Compare performance of cosh(x) = 0.5 * (exp(x) + exp(-x))\r\n   *\r\n   */\n\n\n  P.hyperbolicCosine = P.cosh = function () {\n    var k,\n        n,\n        pr,\n        rm,\n        len,\n        x = this,\n        Ctor = x.constructor,\n        one = new Ctor(1);\n    if (!x.isFinite()) return new Ctor(x.s ? 1 / 0 : NaN);\n    if (x.isZero()) return one;\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n    Ctor.precision = pr + Math.max(x.e, x.sd()) + 4;\n    Ctor.rounding = 1;\n    len = x.d.length; // Argument reduction: cos(4x) = 1 - 8cos^2(x) + 8cos^4(x) + 1\n    // i.e. cos(x) = 1 - cos^2(x/4)(8 - 8cos^2(x/4))\n    // Estimate the optimum number of times to use the argument reduction.\n    // TODO? Estimation reused from cosine() and may not be optimal here.\n\n    if (len < 32) {\n      k = Math.ceil(len / 3);\n      n = Math.pow(4, -k).toString();\n    } else {\n      k = 16;\n      n = '2.3283064365386962890625e-10';\n    }\n\n    x = taylorSeries(Ctor, 1, x.times(n), new Ctor(1), true); // Reverse argument reduction\n\n    var cosh2_x,\n        i = k,\n        d8 = new Ctor(8);\n\n    for (; i--;) {\n      cosh2_x = x.times(x);\n      x = one.minus(cosh2_x.times(d8.minus(cosh2_x.times(d8))));\n    }\n\n    return finalise(x, Ctor.precision = pr, Ctor.rounding = rm, true);\n  };\n  /*\r\n   * Return a new Decimal whose value is the hyperbolic sine of the value in radians of this\r\n   * Decimal.\r\n   *\r\n   * Domain: [-Infinity, Infinity]\r\n   * Range: [-Infinity, Infinity]\r\n   *\r\n   * sinh(x) = x + x^3/3! + x^5/5! + x^7/7! + ...\r\n   *\r\n   * sinh(0)         = 0\r\n   * sinh(-0)        = -0\r\n   * sinh(Infinity)  = Infinity\r\n   * sinh(-Infinity) = -Infinity\r\n   * sinh(NaN)       = NaN\r\n   *\r\n   * x        time taken (ms)\r\n   * 10       2 ms\r\n   * 100      5 ms\r\n   * 1000     14 ms\r\n   * 10000    82 ms\r\n   * 100000   886 ms            1.4033316802130615897e+43429\r\n   * 200000   2613 ms\r\n   * 300000   5407 ms\r\n   * 400000   8824 ms\r\n   * 500000   13026 ms          8.7080643612718084129e+217146\r\n   * 1000000  48543 ms\r\n   *\r\n   * TODO? Compare performance of sinh(x) = 0.5 * (exp(x) - exp(-x))\r\n   *\r\n   */\n\n\n  P.hyperbolicSine = P.sinh = function () {\n    var k,\n        pr,\n        rm,\n        len,\n        x = this,\n        Ctor = x.constructor;\n    if (!x.isFinite() || x.isZero()) return new Ctor(x);\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n    Ctor.precision = pr + Math.max(x.e, x.sd()) + 4;\n    Ctor.rounding = 1;\n    len = x.d.length;\n\n    if (len < 3) {\n      x = taylorSeries(Ctor, 2, x, x, true);\n    } else {\n      // Alternative argument reduction: sinh(3x) = sinh(x)(3 + 4sinh^2(x))\n      // i.e. sinh(x) = sinh(x/3)(3 + 4sinh^2(x/3))\n      // 3 multiplications and 1 addition\n      // Argument reduction: sinh(5x) = sinh(x)(5 + sinh^2(x)(20 + 16sinh^2(x)))\n      // i.e. sinh(x) = sinh(x/5)(5 + sinh^2(x/5)(20 + 16sinh^2(x/5)))\n      // 4 multiplications and 2 additions\n      // Estimate the optimum number of times to use the argument reduction.\n      k = 1.4 * Math.sqrt(len);\n      k = k > 16 ? 16 : k | 0;\n      x = x.times(Math.pow(5, -k));\n      x = taylorSeries(Ctor, 2, x, x, true); // Reverse argument reduction\n\n      var sinh2_x,\n          d5 = new Ctor(5),\n          d16 = new Ctor(16),\n          d20 = new Ctor(20);\n\n      for (; k--;) {\n        sinh2_x = x.times(x);\n        x = x.times(d5.plus(sinh2_x.times(d16.times(sinh2_x).plus(d20))));\n      }\n    }\n\n    Ctor.precision = pr;\n    Ctor.rounding = rm;\n    return finalise(x, pr, rm, true);\n  };\n  /*\r\n   * Return a new Decimal whose value is the hyperbolic tangent of the value in radians of this\r\n   * Decimal.\r\n   *\r\n   * Domain: [-Infinity, Infinity]\r\n   * Range: [-1, 1]\r\n   *\r\n   * tanh(x) = sinh(x) / cosh(x)\r\n   *\r\n   * tanh(0)         = 0\r\n   * tanh(-0)        = -0\r\n   * tanh(Infinity)  = 1\r\n   * tanh(-Infinity) = -1\r\n   * tanh(NaN)       = NaN\r\n   *\r\n   */\n\n\n  P.hyperbolicTangent = P.tanh = function () {\n    var pr,\n        rm,\n        x = this,\n        Ctor = x.constructor;\n    if (!x.isFinite()) return new Ctor(x.s);\n    if (x.isZero()) return new Ctor(x);\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n    Ctor.precision = pr + 7;\n    Ctor.rounding = 1;\n    return divide(x.sinh(), x.cosh(), Ctor.precision = pr, Ctor.rounding = rm);\n  };\n  /*\r\n   * Return a new Decimal whose value is the arccosine (inverse cosine) in radians of the value of\r\n   * this Decimal.\r\n   *\r\n   * Domain: [-1, 1]\r\n   * Range: [0, pi]\r\n   *\r\n   * acos(x) = pi/2 - asin(x)\r\n   *\r\n   * acos(0)       = pi/2\r\n   * acos(-0)      = pi/2\r\n   * acos(1)       = 0\r\n   * acos(-1)      = pi\r\n   * acos(1/2)     = pi/3\r\n   * acos(-1/2)    = 2*pi/3\r\n   * acos(|x| > 1) = NaN\r\n   * acos(NaN)     = NaN\r\n   *\r\n   */\n\n\n  P.inverseCosine = P.acos = function () {\n    var halfPi,\n        x = this,\n        Ctor = x.constructor,\n        k = x.abs().cmp(1),\n        pr = Ctor.precision,\n        rm = Ctor.rounding;\n\n    if (k !== -1) {\n      return k === 0 // |x| is 1\n      ? x.isNeg() ? getPi(Ctor, pr, rm) : new Ctor(0) // |x| > 1 or x is NaN\n      : new Ctor(NaN);\n    }\n\n    if (x.isZero()) return getPi(Ctor, pr + 4, rm).times(0.5); // TODO? Special case acos(0.5) = pi/3 and acos(-0.5) = 2*pi/3\n\n    Ctor.precision = pr + 6;\n    Ctor.rounding = 1;\n    x = x.asin();\n    halfPi = getPi(Ctor, pr + 4, rm).times(0.5);\n    Ctor.precision = pr;\n    Ctor.rounding = rm;\n    return halfPi.minus(x);\n  };\n  /*\r\n   * Return a new Decimal whose value is the inverse of the hyperbolic cosine in radians of the\r\n   * value of this Decimal.\r\n   *\r\n   * Domain: [1, Infinity]\r\n   * Range: [0, Infinity]\r\n   *\r\n   * acosh(x) = ln(x + sqrt(x^2 - 1))\r\n   *\r\n   * acosh(x < 1)     = NaN\r\n   * acosh(NaN)       = NaN\r\n   * acosh(Infinity)  = Infinity\r\n   * acosh(-Infinity) = NaN\r\n   * acosh(0)         = NaN\r\n   * acosh(-0)        = NaN\r\n   * acosh(1)         = 0\r\n   * acosh(-1)        = NaN\r\n   *\r\n   */\n\n\n  P.inverseHyperbolicCosine = P.acosh = function () {\n    var pr,\n        rm,\n        x = this,\n        Ctor = x.constructor;\n    if (x.lte(1)) return new Ctor(x.eq(1) ? 0 : NaN);\n    if (!x.isFinite()) return new Ctor(x);\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n    Ctor.precision = pr + Math.max(Math.abs(x.e), x.sd()) + 4;\n    Ctor.rounding = 1;\n    external = false;\n    x = x.times(x).minus(1).sqrt().plus(x);\n    external = true;\n    Ctor.precision = pr;\n    Ctor.rounding = rm;\n    return x.ln();\n  };\n  /*\r\n   * Return a new Decimal whose value is the inverse of the hyperbolic sine in radians of the value\r\n   * of this Decimal.\r\n   *\r\n   * Domain: [-Infinity, Infinity]\r\n   * Range: [-Infinity, Infinity]\r\n   *\r\n   * asinh(x) = ln(x + sqrt(x^2 + 1))\r\n   *\r\n   * asinh(NaN)       = NaN\r\n   * asinh(Infinity)  = Infinity\r\n   * asinh(-Infinity) = -Infinity\r\n   * asinh(0)         = 0\r\n   * asinh(-0)        = -0\r\n   *\r\n   */\n\n\n  P.inverseHyperbolicSine = P.asinh = function () {\n    var pr,\n        rm,\n        x = this,\n        Ctor = x.constructor;\n    if (!x.isFinite() || x.isZero()) return new Ctor(x);\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n    Ctor.precision = pr + 2 * Math.max(Math.abs(x.e), x.sd()) + 6;\n    Ctor.rounding = 1;\n    external = false;\n    x = x.times(x).plus(1).sqrt().plus(x);\n    external = true;\n    Ctor.precision = pr;\n    Ctor.rounding = rm;\n    return x.ln();\n  };\n  /*\r\n   * Return a new Decimal whose value is the inverse of the hyperbolic tangent in radians of the\r\n   * value of this Decimal.\r\n   *\r\n   * Domain: [-1, 1]\r\n   * Range: [-Infinity, Infinity]\r\n   *\r\n   * atanh(x) = 0.5 * ln((1 + x) / (1 - x))\r\n   *\r\n   * atanh(|x| > 1)   = NaN\r\n   * atanh(NaN)       = NaN\r\n   * atanh(Infinity)  = NaN\r\n   * atanh(-Infinity) = NaN\r\n   * atanh(0)         = 0\r\n   * atanh(-0)        = -0\r\n   * atanh(1)         = Infinity\r\n   * atanh(-1)        = -Infinity\r\n   *\r\n   */\n\n\n  P.inverseHyperbolicTangent = P.atanh = function () {\n    var pr,\n        rm,\n        wpr,\n        xsd,\n        x = this,\n        Ctor = x.constructor;\n    if (!x.isFinite()) return new Ctor(NaN);\n    if (x.e >= 0) return new Ctor(x.abs().eq(1) ? x.s / 0 : x.isZero() ? x : NaN);\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n    xsd = x.sd();\n    if (Math.max(xsd, pr) < 2 * -x.e - 1) return finalise(new Ctor(x), pr, rm, true);\n    Ctor.precision = wpr = xsd - x.e;\n    x = divide(x.plus(1), new Ctor(1).minus(x), wpr + pr, 1);\n    Ctor.precision = pr + 4;\n    Ctor.rounding = 1;\n    x = x.ln();\n    Ctor.precision = pr;\n    Ctor.rounding = rm;\n    return x.times(0.5);\n  };\n  /*\r\n   * Return a new Decimal whose value is the arcsine (inverse sine) in radians of the value of this\r\n   * Decimal.\r\n   *\r\n   * Domain: [-Infinity, Infinity]\r\n   * Range: [-pi/2, pi/2]\r\n   *\r\n   * asin(x) = 2*atan(x/(1 + sqrt(1 - x^2)))\r\n   *\r\n   * asin(0)       = 0\r\n   * asin(-0)      = -0\r\n   * asin(1/2)     = pi/6\r\n   * asin(-1/2)    = -pi/6\r\n   * asin(1)       = pi/2\r\n   * asin(-1)      = -pi/2\r\n   * asin(|x| > 1) = NaN\r\n   * asin(NaN)     = NaN\r\n   *\r\n   * TODO? Compare performance of Taylor series.\r\n   *\r\n   */\n\n\n  P.inverseSine = P.asin = function () {\n    var halfPi,\n        k,\n        pr,\n        rm,\n        x = this,\n        Ctor = x.constructor;\n    if (x.isZero()) return new Ctor(x);\n    k = x.abs().cmp(1);\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n\n    if (k !== -1) {\n      // |x| is 1\n      if (k === 0) {\n        halfPi = getPi(Ctor, pr + 4, rm).times(0.5);\n        halfPi.s = x.s;\n        return halfPi;\n      } // |x| > 1 or x is NaN\n\n\n      return new Ctor(NaN);\n    } // TODO? Special case asin(1/2) = pi/6 and asin(-1/2) = -pi/6\n\n\n    Ctor.precision = pr + 6;\n    Ctor.rounding = 1;\n    x = x.div(new Ctor(1).minus(x.times(x)).sqrt().plus(1)).atan();\n    Ctor.precision = pr;\n    Ctor.rounding = rm;\n    return x.times(2);\n  };\n  /*\r\n   * Return a new Decimal whose value is the arctangent (inverse tangent) in radians of the value\r\n   * of this Decimal.\r\n   *\r\n   * Domain: [-Infinity, Infinity]\r\n   * Range: [-pi/2, pi/2]\r\n   *\r\n   * atan(x) = x - x^3/3 + x^5/5 - x^7/7 + ...\r\n   *\r\n   * atan(0)         = 0\r\n   * atan(-0)        = -0\r\n   * atan(1)         = pi/4\r\n   * atan(-1)        = -pi/4\r\n   * atan(Infinity)  = pi/2\r\n   * atan(-Infinity) = -pi/2\r\n   * atan(NaN)       = NaN\r\n   *\r\n   */\n\n\n  P.inverseTangent = P.atan = function () {\n    var i,\n        j,\n        k,\n        n,\n        px,\n        t,\n        r,\n        wpr,\n        x2,\n        x = this,\n        Ctor = x.constructor,\n        pr = Ctor.precision,\n        rm = Ctor.rounding;\n\n    if (!x.isFinite()) {\n      if (!x.s) return new Ctor(NaN);\n\n      if (pr + 4 <= PI_PRECISION) {\n        r = getPi(Ctor, pr + 4, rm).times(0.5);\n        r.s = x.s;\n        return r;\n      }\n    } else if (x.isZero()) {\n      return new Ctor(x);\n    } else if (x.abs().eq(1) && pr + 4 <= PI_PRECISION) {\n      r = getPi(Ctor, pr + 4, rm).times(0.25);\n      r.s = x.s;\n      return r;\n    }\n\n    Ctor.precision = wpr = pr + 10;\n    Ctor.rounding = 1; // TODO? if (x >= 1 && pr <= PI_PRECISION) atan(x) = halfPi * x.s - atan(1 / x);\n    // Argument reduction\n    // Ensure |x| < 0.42\n    // atan(x) = 2 * atan(x / (1 + sqrt(1 + x^2)))\n\n    k = Math.min(28, wpr / LOG_BASE + 2 | 0);\n\n    for (i = k; i; --i) {\n      x = x.div(x.times(x).plus(1).sqrt().plus(1));\n    }\n\n    external = false;\n    j = Math.ceil(wpr / LOG_BASE);\n    n = 1;\n    x2 = x.times(x);\n    r = new Ctor(x);\n    px = x; // atan(x) = x - x^3/3 + x^5/5 - x^7/7 + ...\n\n    for (; i !== -1;) {\n      px = px.times(x2);\n      t = r.minus(px.div(n += 2));\n      px = px.times(x2);\n      r = t.plus(px.div(n += 2));\n      if (r.d[j] !== void 0) for (i = j; r.d[i] === t.d[i] && i--;) {\n        ;\n      }\n    }\n\n    if (k) r = r.times(2 << k - 1);\n    external = true;\n    return finalise(r, Ctor.precision = pr, Ctor.rounding = rm, true);\n  };\n  /*\r\n   * Return true if the value of this Decimal is a finite number, otherwise return false.\r\n   *\r\n   */\n\n\n  P.isFinite = function () {\n    return !!this.d;\n  };\n  /*\r\n   * Return true if the value of this Decimal is an integer, otherwise return false.\r\n   *\r\n   */\n\n\n  P.isInteger = P.isInt = function () {\n    return !!this.d && mathfloor(this.e / LOG_BASE) > this.d.length - 2;\n  };\n  /*\r\n   * Return true if the value of this Decimal is NaN, otherwise return false.\r\n   *\r\n   */\n\n\n  P.isNaN = function () {\n    return !this.s;\n  };\n  /*\r\n   * Return true if the value of this Decimal is negative, otherwise return false.\r\n   *\r\n   */\n\n\n  P.isNegative = P.isNeg = function () {\n    return this.s < 0;\n  };\n  /*\r\n   * Return true if the value of this Decimal is positive, otherwise return false.\r\n   *\r\n   */\n\n\n  P.isPositive = P.isPos = function () {\n    return this.s > 0;\n  };\n  /*\r\n   * Return true if the value of this Decimal is 0 or -0, otherwise return false.\r\n   *\r\n   */\n\n\n  P.isZero = function () {\n    return !!this.d && this.d[0] === 0;\n  };\n  /*\r\n   * Return true if the value of this Decimal is less than `y`, otherwise return false.\r\n   *\r\n   */\n\n\n  P.lessThan = P.lt = function (y) {\n    return this.cmp(y) < 0;\n  };\n  /*\r\n   * Return true if the value of this Decimal is less than or equal to `y`, otherwise return false.\r\n   *\r\n   */\n\n\n  P.lessThanOrEqualTo = P.lte = function (y) {\n    return this.cmp(y) < 1;\n  };\n  /*\r\n   * Return the logarithm of the value of this Decimal to the specified base, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * If no base is specified, return log[10](arg).\r\n   *\r\n   * log[base](arg) = ln(arg) / ln(base)\r\n   *\r\n   * The result will always be correctly rounded if the base of the log is 10, and 'almost always'\r\n   * otherwise:\r\n   *\r\n   * Depending on the rounding mode, the result may be incorrectly rounded if the first fifteen\r\n   * rounding digits are [49]99999999999999 or [50]00000000000000. In that case, the maximum error\r\n   * between the result and the correctly rounded result will be one ulp (unit in the last place).\r\n   *\r\n   * log[-b](a)       = NaN\r\n   * log[0](a)        = NaN\r\n   * log[1](a)        = NaN\r\n   * log[NaN](a)      = NaN\r\n   * log[Infinity](a) = NaN\r\n   * log[b](0)        = -Infinity\r\n   * log[b](-0)       = -Infinity\r\n   * log[b](-a)       = NaN\r\n   * log[b](1)        = 0\r\n   * log[b](Infinity) = Infinity\r\n   * log[b](NaN)      = NaN\r\n   *\r\n   * [base] {number|string|Decimal} The base of the logarithm.\r\n   *\r\n   */\n\n\n  P.logarithm = P.log = function (base) {\n    var isBase10,\n        d,\n        denominator,\n        k,\n        inf,\n        num,\n        sd,\n        r,\n        arg = this,\n        Ctor = arg.constructor,\n        pr = Ctor.precision,\n        rm = Ctor.rounding,\n        guard = 5; // Default base is 10.\n\n    if (base == null) {\n      base = new Ctor(10);\n      isBase10 = true;\n    } else {\n      base = new Ctor(base);\n      d = base.d; // Return NaN if base is negative, or non-finite, or is 0 or 1.\n\n      if (base.s < 0 || !d || !d[0] || base.eq(1)) return new Ctor(NaN);\n      isBase10 = base.eq(10);\n    }\n\n    d = arg.d; // Is arg negative, non-finite, 0 or 1?\n\n    if (arg.s < 0 || !d || !d[0] || arg.eq(1)) {\n      return new Ctor(d && !d[0] ? -1 / 0 : arg.s != 1 ? NaN : d ? 0 : 1 / 0);\n    } // The result will have a non-terminating decimal expansion if base is 10 and arg is not an\n    // integer power of 10.\n\n\n    if (isBase10) {\n      if (d.length > 1) {\n        inf = true;\n      } else {\n        for (k = d[0]; k % 10 === 0;) {\n          k /= 10;\n        }\n\n        inf = k !== 1;\n      }\n    }\n\n    external = false;\n    sd = pr + guard;\n    num = naturalLogarithm(arg, sd);\n    denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd); // The result will have 5 rounding digits.\n\n    r = divide(num, denominator, sd, 1); // If at a rounding boundary, i.e. the result's rounding digits are [49]9999 or [50]0000,\n    // calculate 10 further digits.\n    //\n    // If the result is known to have an infinite decimal expansion, repeat this until it is clear\n    // that the result is above or below the boundary. Otherwise, if after calculating the 10\n    // further digits, the last 14 are nines, round up and assume the result is exact.\n    // Also assume the result is exact if the last 14 are zero.\n    //\n    // Example of a result that will be incorrectly rounded:\n    // log[1048576](4503599627370502) = 2.60000000000000009610279511444746...\n    // The above result correctly rounded using ROUND_CEIL to 1 decimal place should be 2.7, but it\n    // will be given as 2.6 as there are 15 zeros immediately after the requested decimal place, so\n    // the exact result would be assumed to be 2.6, which rounded using ROUND_CEIL to 1 decimal\n    // place is still 2.6.\n\n    if (checkRoundingDigits(r.d, k = pr, rm)) {\n      do {\n        sd += 10;\n        num = naturalLogarithm(arg, sd);\n        denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd);\n        r = divide(num, denominator, sd, 1);\n\n        if (!inf) {\n          // Check for 14 nines from the 2nd rounding digit, as the first may be 4.\n          if (+digitsToString(r.d).slice(k + 1, k + 15) + 1 == 1e14) {\n            r = finalise(r, pr + 1, 0);\n          }\n\n          break;\n        }\n      } while (checkRoundingDigits(r.d, k += 10, rm));\n    }\n\n    external = true;\n    return finalise(r, pr, rm);\n  };\n  /*\r\n   * Return a new Decimal whose value is the maximum of the arguments and the value of this Decimal.\r\n   *\r\n   * arguments {number|string|Decimal}\r\n   *\r\n  P.max = function () {\r\n    Array.prototype.push.call(arguments, this);\r\n    return maxOrMin(this.constructor, arguments, 'lt');\r\n  };\r\n   */\n\n  /*\r\n   * Return a new Decimal whose value is the minimum of the arguments and the value of this Decimal.\r\n   *\r\n   * arguments {number|string|Decimal}\r\n   *\r\n  P.min = function () {\r\n    Array.prototype.push.call(arguments, this);\r\n    return maxOrMin(this.constructor, arguments, 'gt');\r\n  };\r\n   */\n\n  /*\r\n   *  n - 0 = n\r\n   *  n - N = N\r\n   *  n - I = -I\r\n   *  0 - n = -n\r\n   *  0 - 0 = 0\r\n   *  0 - N = N\r\n   *  0 - I = -I\r\n   *  N - n = N\r\n   *  N - 0 = N\r\n   *  N - N = N\r\n   *  N - I = N\r\n   *  I - n = I\r\n   *  I - 0 = I\r\n   *  I - N = N\r\n   *  I - I = N\r\n   *\r\n   * Return a new Decimal whose value is the value of this Decimal minus `y`, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   */\n\n\n  P.minus = P.sub = function (y) {\n    var d,\n        e,\n        i,\n        j,\n        k,\n        len,\n        pr,\n        rm,\n        xd,\n        xe,\n        xLTy,\n        yd,\n        x = this,\n        Ctor = x.constructor;\n    y = new Ctor(y); // If either is not finite...\n\n    if (!x.d || !y.d) {\n      // Return NaN if either is NaN.\n      if (!x.s || !y.s) y = new Ctor(NaN); // Return y negated if x is finite and y is ±Infinity.\n      else if (x.d) y.s = -y.s; // Return x if y is finite and x is ±Infinity.\n        // Return x if both are ±Infinity with different signs.\n        // Return NaN if both are ±Infinity with the same sign.\n        else y = new Ctor(y.d || x.s !== y.s ? x : NaN);\n      return y;\n    } // If signs differ...\n\n\n    if (x.s != y.s) {\n      y.s = -y.s;\n      return x.plus(y);\n    }\n\n    xd = x.d;\n    yd = y.d;\n    pr = Ctor.precision;\n    rm = Ctor.rounding; // If either is zero...\n\n    if (!xd[0] || !yd[0]) {\n      // Return y negated if x is zero and y is non-zero.\n      if (yd[0]) y.s = -y.s; // Return x if y is zero and x is non-zero.\n      else if (xd[0]) y = new Ctor(x); // Return zero if both are zero.\n        // From IEEE 754 (2008) 6.3: 0 - 0 = -0 - -0 = -0 when rounding to -Infinity.\n        else return new Ctor(rm === 3 ? -0 : 0);\n      return external ? finalise(y, pr, rm) : y;\n    } // x and y are finite, non-zero numbers with the same sign.\n    // Calculate base 1e7 exponents.\n\n\n    e = mathfloor(y.e / LOG_BASE);\n    xe = mathfloor(x.e / LOG_BASE);\n    xd = xd.slice();\n    k = xe - e; // If base 1e7 exponents differ...\n\n    if (k) {\n      xLTy = k < 0;\n\n      if (xLTy) {\n        d = xd;\n        k = -k;\n        len = yd.length;\n      } else {\n        d = yd;\n        e = xe;\n        len = xd.length;\n      } // Numbers with massively different exponents would result in a very high number of\n      // zeros needing to be prepended, but this can be avoided while still ensuring correct\n      // rounding by limiting the number of zeros to `Math.ceil(pr / LOG_BASE) + 2`.\n\n\n      i = Math.max(Math.ceil(pr / LOG_BASE), len) + 2;\n\n      if (k > i) {\n        k = i;\n        d.length = 1;\n      } // Prepend zeros to equalise exponents.\n\n\n      d.reverse();\n\n      for (i = k; i--;) {\n        d.push(0);\n      }\n\n      d.reverse(); // Base 1e7 exponents equal.\n    } else {\n      // Check digits to determine which is the bigger number.\n      i = xd.length;\n      len = yd.length;\n      xLTy = i < len;\n      if (xLTy) len = i;\n\n      for (i = 0; i < len; i++) {\n        if (xd[i] != yd[i]) {\n          xLTy = xd[i] < yd[i];\n          break;\n        }\n      }\n\n      k = 0;\n    }\n\n    if (xLTy) {\n      d = xd;\n      xd = yd;\n      yd = d;\n      y.s = -y.s;\n    }\n\n    len = xd.length; // Append zeros to `xd` if shorter.\n    // Don't add zeros to `yd` if shorter as subtraction only needs to start at `yd` length.\n\n    for (i = yd.length - len; i > 0; --i) {\n      xd[len++] = 0;\n    } // Subtract yd from xd.\n\n\n    for (i = yd.length; i > k;) {\n      if (xd[--i] < yd[i]) {\n        for (j = i; j && xd[--j] === 0;) {\n          xd[j] = BASE - 1;\n        }\n\n        --xd[j];\n        xd[i] += BASE;\n      }\n\n      xd[i] -= yd[i];\n    } // Remove trailing zeros.\n\n\n    for (; xd[--len] === 0;) {\n      xd.pop();\n    } // Remove leading zeros and adjust exponent accordingly.\n\n\n    for (; xd[0] === 0; xd.shift()) {\n      --e;\n    } // Zero?\n\n\n    if (!xd[0]) return new Ctor(rm === 3 ? -0 : 0);\n    y.d = xd;\n    y.e = getBase10Exponent(xd, e);\n    return external ? finalise(y, pr, rm) : y;\n  };\n  /*\r\n   *   n % 0 =  N\r\n   *   n % N =  N\r\n   *   n % I =  n\r\n   *   0 % n =  0\r\n   *  -0 % n = -0\r\n   *   0 % 0 =  N\r\n   *   0 % N =  N\r\n   *   0 % I =  0\r\n   *   N % n =  N\r\n   *   N % 0 =  N\r\n   *   N % N =  N\r\n   *   N % I =  N\r\n   *   I % n =  N\r\n   *   I % 0 =  N\r\n   *   I % N =  N\r\n   *   I % I =  N\r\n   *\r\n   * Return a new Decimal whose value is the value of this Decimal modulo `y`, rounded to\r\n   * `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   * The result depends on the modulo mode.\r\n   *\r\n   */\n\n\n  P.modulo = P.mod = function (y) {\n    var q,\n        x = this,\n        Ctor = x.constructor;\n    y = new Ctor(y); // Return NaN if x is ±Infinity or NaN, or y is NaN or ±0.\n\n    if (!x.d || !y.s || y.d && !y.d[0]) return new Ctor(NaN); // Return x if y is ±Infinity or x is ±0.\n\n    if (!y.d || x.d && !x.d[0]) {\n      return finalise(new Ctor(x), Ctor.precision, Ctor.rounding);\n    } // Prevent rounding of intermediate calculations.\n\n\n    external = false;\n\n    if (Ctor.modulo == 9) {\n      // Euclidian division: q = sign(y) * floor(x / abs(y))\n      // result = x - q * y    where  0 <= result < abs(y)\n      q = divide(x, y.abs(), 0, 3, 1);\n      q.s *= y.s;\n    } else {\n      q = divide(x, y, 0, Ctor.modulo, 1);\n    }\n\n    q = q.times(y);\n    external = true;\n    return x.minus(q);\n  };\n  /*\r\n   * Return a new Decimal whose value is the natural exponential of the value of this Decimal,\r\n   * i.e. the base e raised to the power the value of this Decimal, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   */\n\n\n  P.naturalExponential = P.exp = function () {\n    return naturalExponential(this);\n  };\n  /*\r\n   * Return a new Decimal whose value is the natural logarithm of the value of this Decimal,\r\n   * rounded to `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   */\n\n\n  P.naturalLogarithm = P.ln = function () {\n    return naturalLogarithm(this);\n  };\n  /*\r\n   * Return a new Decimal whose value is the value of this Decimal negated, i.e. as if multiplied by\r\n   * -1.\r\n   *\r\n   */\n\n\n  P.negated = P.neg = function () {\n    var x = new this.constructor(this);\n    x.s = -x.s;\n    return finalise(x);\n  };\n  /*\r\n   *  n + 0 = n\r\n   *  n + N = N\r\n   *  n + I = I\r\n   *  0 + n = n\r\n   *  0 + 0 = 0\r\n   *  0 + N = N\r\n   *  0 + I = I\r\n   *  N + n = N\r\n   *  N + 0 = N\r\n   *  N + N = N\r\n   *  N + I = N\r\n   *  I + n = I\r\n   *  I + 0 = I\r\n   *  I + N = N\r\n   *  I + I = I\r\n   *\r\n   * Return a new Decimal whose value is the value of this Decimal plus `y`, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   */\n\n\n  P.plus = P.add = function (y) {\n    var carry,\n        d,\n        e,\n        i,\n        k,\n        len,\n        pr,\n        rm,\n        xd,\n        yd,\n        x = this,\n        Ctor = x.constructor;\n    y = new Ctor(y); // If either is not finite...\n\n    if (!x.d || !y.d) {\n      // Return NaN if either is NaN.\n      if (!x.s || !y.s) y = new Ctor(NaN); // Return x if y is finite and x is ±Infinity.\n      // Return x if both are ±Infinity with the same sign.\n      // Return NaN if both are ±Infinity with different signs.\n      // Return y if x is finite and y is ±Infinity.\n      else if (!x.d) y = new Ctor(y.d || x.s === y.s ? x : NaN);\n      return y;\n    } // If signs differ...\n\n\n    if (x.s != y.s) {\n      y.s = -y.s;\n      return x.minus(y);\n    }\n\n    xd = x.d;\n    yd = y.d;\n    pr = Ctor.precision;\n    rm = Ctor.rounding; // If either is zero...\n\n    if (!xd[0] || !yd[0]) {\n      // Return x if y is zero.\n      // Return y if y is non-zero.\n      if (!yd[0]) y = new Ctor(x);\n      return external ? finalise(y, pr, rm) : y;\n    } // x and y are finite, non-zero numbers with the same sign.\n    // Calculate base 1e7 exponents.\n\n\n    k = mathfloor(x.e / LOG_BASE);\n    e = mathfloor(y.e / LOG_BASE);\n    xd = xd.slice();\n    i = k - e; // If base 1e7 exponents differ...\n\n    if (i) {\n      if (i < 0) {\n        d = xd;\n        i = -i;\n        len = yd.length;\n      } else {\n        d = yd;\n        e = k;\n        len = xd.length;\n      } // Limit number of zeros prepended to max(ceil(pr / LOG_BASE), len) + 1.\n\n\n      k = Math.ceil(pr / LOG_BASE);\n      len = k > len ? k + 1 : len + 1;\n\n      if (i > len) {\n        i = len;\n        d.length = 1;\n      } // Prepend zeros to equalise exponents. Note: Faster to use reverse then do unshifts.\n\n\n      d.reverse();\n\n      for (; i--;) {\n        d.push(0);\n      }\n\n      d.reverse();\n    }\n\n    len = xd.length;\n    i = yd.length; // If yd is longer than xd, swap xd and yd so xd points to the longer array.\n\n    if (len - i < 0) {\n      i = len;\n      d = yd;\n      yd = xd;\n      xd = d;\n    } // Only start adding at yd.length - 1 as the further digits of xd can be left as they are.\n\n\n    for (carry = 0; i;) {\n      carry = (xd[--i] = xd[i] + yd[i] + carry) / BASE | 0;\n      xd[i] %= BASE;\n    }\n\n    if (carry) {\n      xd.unshift(carry);\n      ++e;\n    } // Remove trailing zeros.\n    // No need to check for zero, as +x + +y != 0 && -x + -y != 0\n\n\n    for (len = xd.length; xd[--len] == 0;) {\n      xd.pop();\n    }\n\n    y.d = xd;\n    y.e = getBase10Exponent(xd, e);\n    return external ? finalise(y, pr, rm) : y;\n  };\n  /*\r\n   * Return the number of significant digits of the value of this Decimal.\r\n   *\r\n   * [z] {boolean|number} Whether to count integer-part trailing zeros: true, false, 1 or 0.\r\n   *\r\n   */\n\n\n  P.precision = P.sd = function (z) {\n    var k,\n        x = this;\n    if (z !== void 0 && z !== !!z && z !== 1 && z !== 0) throw Error(invalidArgument + z);\n\n    if (x.d) {\n      k = getPrecision(x.d);\n      if (z && x.e + 1 > k) k = x.e + 1;\n    } else {\n      k = NaN;\n    }\n\n    return k;\n  };\n  /*\r\n   * Return a new Decimal whose value is the value of this Decimal rounded to a whole number using\r\n   * rounding mode `rounding`.\r\n   *\r\n   */\n\n\n  P.round = function () {\n    var x = this,\n        Ctor = x.constructor;\n    return finalise(new Ctor(x), x.e + 1, Ctor.rounding);\n  };\n  /*\r\n   * Return a new Decimal whose value is the sine of the value in radians of this Decimal.\r\n   *\r\n   * Domain: [-Infinity, Infinity]\r\n   * Range: [-1, 1]\r\n   *\r\n   * sin(x) = x - x^3/3! + x^5/5! - ...\r\n   *\r\n   * sin(0)         = 0\r\n   * sin(-0)        = -0\r\n   * sin(Infinity)  = NaN\r\n   * sin(-Infinity) = NaN\r\n   * sin(NaN)       = NaN\r\n   *\r\n   */\n\n\n  P.sine = P.sin = function () {\n    var pr,\n        rm,\n        x = this,\n        Ctor = x.constructor;\n    if (!x.isFinite()) return new Ctor(NaN);\n    if (x.isZero()) return new Ctor(x);\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n    Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE;\n    Ctor.rounding = 1;\n    x = sine(Ctor, toLessThanHalfPi(Ctor, x));\n    Ctor.precision = pr;\n    Ctor.rounding = rm;\n    return finalise(quadrant > 2 ? x.neg() : x, pr, rm, true);\n  };\n  /*\r\n   * Return a new Decimal whose value is the square root of this Decimal, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   *  sqrt(-n) =  N\r\n   *  sqrt(N)  =  N\r\n   *  sqrt(-I) =  N\r\n   *  sqrt(I)  =  I\r\n   *  sqrt(0)  =  0\r\n   *  sqrt(-0) = -0\r\n   *\r\n   */\n\n\n  P.squareRoot = P.sqrt = function () {\n    var m,\n        n,\n        sd,\n        r,\n        rep,\n        t,\n        x = this,\n        d = x.d,\n        e = x.e,\n        s = x.s,\n        Ctor = x.constructor; // Negative/NaN/Infinity/zero?\n\n    if (s !== 1 || !d || !d[0]) {\n      return new Ctor(!s || s < 0 && (!d || d[0]) ? NaN : d ? x : 1 / 0);\n    }\n\n    external = false; // Initial estimate.\n\n    s = Math.sqrt(+x); // Math.sqrt underflow/overflow?\n    // Pass x to Math.sqrt as integer, then adjust the exponent of the result.\n\n    if (s == 0 || s == 1 / 0) {\n      n = digitsToString(d);\n      if ((n.length + e) % 2 == 0) n += '0';\n      s = Math.sqrt(n);\n      e = mathfloor((e + 1) / 2) - (e < 0 || e % 2);\n\n      if (s == 1 / 0) {\n        n = '1e' + e;\n      } else {\n        n = s.toExponential();\n        n = n.slice(0, n.indexOf('e') + 1) + e;\n      }\n\n      r = new Ctor(n);\n    } else {\n      r = new Ctor(s.toString());\n    }\n\n    sd = (e = Ctor.precision) + 3; // Newton-Raphson iteration.\n\n    for (;;) {\n      t = r;\n      r = t.plus(divide(x, t, sd + 2, 1)).times(0.5); // TODO? Replace with for-loop and checkRoundingDigits.\n\n      if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) {\n        n = n.slice(sd - 3, sd + 1); // The 4th rounding digit may be in error by -1 so if the 4 rounding digits are 9999 or\n        // 4999, i.e. approaching a rounding boundary, continue the iteration.\n\n        if (n == '9999' || !rep && n == '4999') {\n          // On the first iteration only, check to see if rounding up gives the exact result as the\n          // nines may infinitely repeat.\n          if (!rep) {\n            finalise(t, e + 1, 0);\n\n            if (t.times(t).eq(x)) {\n              r = t;\n              break;\n            }\n          }\n\n          sd += 4;\n          rep = 1;\n        } else {\n          // If the rounding digits are null, 0{0,4} or 50{0,3}, check for an exact result.\n          // If not, then there are further digits and m will be truthy.\n          if (!+n || !+n.slice(1) && n.charAt(0) == '5') {\n            // Truncate to the first rounding digit.\n            finalise(r, e + 1, 1);\n            m = !r.times(r).eq(x);\n          }\n\n          break;\n        }\n      }\n    }\n\n    external = true;\n    return finalise(r, e, Ctor.rounding, m);\n  };\n  /*\r\n   * Return a new Decimal whose value is the tangent of the value in radians of this Decimal.\r\n   *\r\n   * Domain: [-Infinity, Infinity]\r\n   * Range: [-Infinity, Infinity]\r\n   *\r\n   * tan(0)         = 0\r\n   * tan(-0)        = -0\r\n   * tan(Infinity)  = NaN\r\n   * tan(-Infinity) = NaN\r\n   * tan(NaN)       = NaN\r\n   *\r\n   */\n\n\n  P.tangent = P.tan = function () {\n    var pr,\n        rm,\n        x = this,\n        Ctor = x.constructor;\n    if (!x.isFinite()) return new Ctor(NaN);\n    if (x.isZero()) return new Ctor(x);\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n    Ctor.precision = pr + 10;\n    Ctor.rounding = 1;\n    x = x.sin();\n    x.s = 1;\n    x = divide(x, new Ctor(1).minus(x.times(x)).sqrt(), pr + 10, 0);\n    Ctor.precision = pr;\n    Ctor.rounding = rm;\n    return finalise(quadrant == 2 || quadrant == 4 ? x.neg() : x, pr, rm, true);\n  };\n  /*\r\n   *  n * 0 = 0\r\n   *  n * N = N\r\n   *  n * I = I\r\n   *  0 * n = 0\r\n   *  0 * 0 = 0\r\n   *  0 * N = N\r\n   *  0 * I = N\r\n   *  N * n = N\r\n   *  N * 0 = N\r\n   *  N * N = N\r\n   *  N * I = N\r\n   *  I * n = I\r\n   *  I * 0 = N\r\n   *  I * N = N\r\n   *  I * I = I\r\n   *\r\n   * Return a new Decimal whose value is this Decimal times `y`, rounded to `precision` significant\r\n   * digits using rounding mode `rounding`.\r\n   *\r\n   */\n\n\n  P.times = P.mul = function (y) {\n    var carry,\n        e,\n        i,\n        k,\n        r,\n        rL,\n        t,\n        xdL,\n        ydL,\n        x = this,\n        Ctor = x.constructor,\n        xd = x.d,\n        yd = (y = new Ctor(y)).d;\n    y.s *= x.s; // If either is NaN, ±Infinity or ±0...\n\n    if (!xd || !xd[0] || !yd || !yd[0]) {\n      return new Ctor(!y.s || xd && !xd[0] && !yd || yd && !yd[0] && !xd // Return NaN if either is NaN.\n      // Return NaN if x is ±0 and y is ±Infinity, or y is ±0 and x is ±Infinity.\n      ? NaN // Return ±Infinity if either is ±Infinity.\n      // Return ±0 if either is ±0.\n      : !xd || !yd ? y.s / 0 : y.s * 0);\n    }\n\n    e = mathfloor(x.e / LOG_BASE) + mathfloor(y.e / LOG_BASE);\n    xdL = xd.length;\n    ydL = yd.length; // Ensure xd points to the longer array.\n\n    if (xdL < ydL) {\n      r = xd;\n      xd = yd;\n      yd = r;\n      rL = xdL;\n      xdL = ydL;\n      ydL = rL;\n    } // Initialise the result array with zeros.\n\n\n    r = [];\n    rL = xdL + ydL;\n\n    for (i = rL; i--;) {\n      r.push(0);\n    } // Multiply!\n\n\n    for (i = ydL; --i >= 0;) {\n      carry = 0;\n\n      for (k = xdL + i; k > i;) {\n        t = r[k] + yd[i] * xd[k - i - 1] + carry;\n        r[k--] = t % BASE | 0;\n        carry = t / BASE | 0;\n      }\n\n      r[k] = (r[k] + carry) % BASE | 0;\n    } // Remove trailing zeros.\n\n\n    for (; !r[--rL];) {\n      r.pop();\n    }\n\n    if (carry) ++e;else r.shift();\n    y.d = r;\n    y.e = getBase10Exponent(r, e);\n    return external ? finalise(y, Ctor.precision, Ctor.rounding) : y;\n  };\n  /*\r\n   * Return a string representing the value of this Decimal in base 2, round to `sd` significant\r\n   * digits using rounding mode `rm`.\r\n   *\r\n   * If the optional `sd` argument is present then return binary exponential notation.\r\n   *\r\n   * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n   * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n   *\r\n   */\n\n\n  P.toBinary = function (sd, rm) {\n    return toStringBinary(this, 2, sd, rm);\n  };\n  /*\r\n   * Return a new Decimal whose value is the value of this Decimal rounded to a maximum of `dp`\r\n   * decimal places using rounding mode `rm` or `rounding` if `rm` is omitted.\r\n   *\r\n   * If `dp` is omitted, return a new Decimal whose value is the value of this Decimal.\r\n   *\r\n   * [dp] {number} Decimal places. Integer, 0 to MAX_DIGITS inclusive.\r\n   * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n   *\r\n   */\n\n\n  P.toDecimalPlaces = P.toDP = function (dp, rm) {\n    var x = this,\n        Ctor = x.constructor;\n    x = new Ctor(x);\n    if (dp === void 0) return x;\n    checkInt32(dp, 0, MAX_DIGITS);\n    if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n    return finalise(x, dp + x.e + 1, rm);\n  };\n  /*\r\n   * Return a string representing the value of this Decimal in exponential notation rounded to\r\n   * `dp` fixed decimal places using rounding mode `rounding`.\r\n   *\r\n   * [dp] {number} Decimal places. Integer, 0 to MAX_DIGITS inclusive.\r\n   * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n   *\r\n   */\n\n\n  P.toExponential = function (dp, rm) {\n    var str,\n        x = this,\n        Ctor = x.constructor;\n\n    if (dp === void 0) {\n      str = finiteToString(x, true);\n    } else {\n      checkInt32(dp, 0, MAX_DIGITS);\n      if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n      x = finalise(new Ctor(x), dp + 1, rm);\n      str = finiteToString(x, true, dp + 1);\n    }\n\n    return x.isNeg() && !x.isZero() ? '-' + str : str;\n  };\n  /*\r\n   * Return a string representing the value of this Decimal in normal (fixed-point) notation to\r\n   * `dp` fixed decimal places and rounded using rounding mode `rm` or `rounding` if `rm` is\r\n   * omitted.\r\n   *\r\n   * As with JavaScript numbers, (-0).toFixed(0) is '0', but e.g. (-0.00001).toFixed(0) is '-0'.\r\n   *\r\n   * [dp] {number} Decimal places. Integer, 0 to MAX_DIGITS inclusive.\r\n   * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n   *\r\n   * (-0).toFixed(0) is '0', but (-0.1).toFixed(0) is '-0'.\r\n   * (-0).toFixed(1) is '0.0', but (-0.01).toFixed(1) is '-0.0'.\r\n   * (-0).toFixed(3) is '0.000'.\r\n   * (-0.5).toFixed(0) is '-0'.\r\n   *\r\n   */\n\n\n  P.toFixed = function (dp, rm) {\n    var str,\n        y,\n        x = this,\n        Ctor = x.constructor;\n\n    if (dp === void 0) {\n      str = finiteToString(x);\n    } else {\n      checkInt32(dp, 0, MAX_DIGITS);\n      if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n      y = finalise(new Ctor(x), dp + x.e + 1, rm);\n      str = finiteToString(y, false, dp + y.e + 1);\n    } // To determine whether to add the minus sign look at the value before it was rounded,\n    // i.e. look at `x` rather than `y`.\n\n\n    return x.isNeg() && !x.isZero() ? '-' + str : str;\n  };\n  /*\r\n   * Return an array representing the value of this Decimal as a simple fraction with an integer\r\n   * numerator and an integer denominator.\r\n   *\r\n   * The denominator will be a positive non-zero value less than or equal to the specified maximum\r\n   * denominator. If a maximum denominator is not specified, the denominator will be the lowest\r\n   * value necessary to represent the number exactly.\r\n   *\r\n   * [maxD] {number|string|Decimal} Maximum denominator. Integer >= 1 and < Infinity.\r\n   *\r\n   */\n\n\n  P.toFraction = function (maxD) {\n    var d,\n        d0,\n        d1,\n        d2,\n        e,\n        k,\n        n,\n        n0,\n        n1,\n        pr,\n        q,\n        r,\n        x = this,\n        xd = x.d,\n        Ctor = x.constructor;\n    if (!xd) return new Ctor(x);\n    n1 = d0 = new Ctor(1);\n    d1 = n0 = new Ctor(0);\n    d = new Ctor(d1);\n    e = d.e = getPrecision(xd) - x.e - 1;\n    k = e % LOG_BASE;\n    d.d[0] = mathpow(10, k < 0 ? LOG_BASE + k : k);\n\n    if (maxD == null) {\n      // d is 10**e, the minimum max-denominator needed.\n      maxD = e > 0 ? d : n1;\n    } else {\n      n = new Ctor(maxD);\n      if (!n.isInt() || n.lt(n1)) throw Error(invalidArgument + n);\n      maxD = n.gt(d) ? e > 0 ? d : n1 : n;\n    }\n\n    external = false;\n    n = new Ctor(digitsToString(xd));\n    pr = Ctor.precision;\n    Ctor.precision = e = xd.length * LOG_BASE * 2;\n\n    for (;;) {\n      q = divide(n, d, 0, 1, 1);\n      d2 = d0.plus(q.times(d1));\n      if (d2.cmp(maxD) == 1) break;\n      d0 = d1;\n      d1 = d2;\n      d2 = n1;\n      n1 = n0.plus(q.times(d2));\n      n0 = d2;\n      d2 = d;\n      d = n.minus(q.times(d2));\n      n = d2;\n    }\n\n    d2 = divide(maxD.minus(d0), d1, 0, 1, 1);\n    n0 = n0.plus(d2.times(n1));\n    d0 = d0.plus(d2.times(d1));\n    n0.s = n1.s = x.s; // Determine which fraction is closer to x, n0/d0 or n1/d1?\n\n    r = divide(n1, d1, e, 1).minus(x).abs().cmp(divide(n0, d0, e, 1).minus(x).abs()) < 1 ? [n1, d1] : [n0, d0];\n    Ctor.precision = pr;\n    external = true;\n    return r;\n  };\n  /*\r\n   * Return a string representing the value of this Decimal in base 16, round to `sd` significant\r\n   * digits using rounding mode `rm`.\r\n   *\r\n   * If the optional `sd` argument is present then return binary exponential notation.\r\n   *\r\n   * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n   * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n   *\r\n   */\n\n\n  P.toHexadecimal = P.toHex = function (sd, rm) {\n    return toStringBinary(this, 16, sd, rm);\n  };\n  /*\r\n   * Returns a new Decimal whose value is the nearest multiple of `y` in the direction of rounding\r\n   * mode `rm`, or `Decimal.rounding` if `rm` is omitted, to the value of this Decimal.\r\n   *\r\n   * The return value will always have the same sign as this Decimal, unless either this Decimal\r\n   * or `y` is NaN, in which case the return value will be also be NaN.\r\n   *\r\n   * The return value is not affected by the value of `precision`.\r\n   *\r\n   * y {number|string|Decimal} The magnitude to round to a multiple of.\r\n   * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n   *\r\n   * 'toNearest() rounding mode not an integer: {rm}'\r\n   * 'toNearest() rounding mode out of range: {rm}'\r\n   *\r\n   */\n\n\n  P.toNearest = function (y, rm) {\n    var x = this,\n        Ctor = x.constructor;\n    x = new Ctor(x);\n\n    if (y == null) {\n      // If x is not finite, return x.\n      if (!x.d) return x;\n      y = new Ctor(1);\n      rm = Ctor.rounding;\n    } else {\n      y = new Ctor(y);\n\n      if (rm === void 0) {\n        rm = Ctor.rounding;\n      } else {\n        checkInt32(rm, 0, 8);\n      } // If x is not finite, return x if y is not NaN, else NaN.\n\n\n      if (!x.d) return y.s ? x : y; // If y is not finite, return Infinity with the sign of x if y is Infinity, else NaN.\n\n      if (!y.d) {\n        if (y.s) y.s = x.s;\n        return y;\n      }\n    } // If y is not zero, calculate the nearest multiple of y to x.\n\n\n    if (y.d[0]) {\n      external = false;\n      x = divide(x, y, 0, rm, 1).times(y);\n      external = true;\n      finalise(x); // If y is zero, return zero with the sign of x.\n    } else {\n      y.s = x.s;\n      x = y;\n    }\n\n    return x;\n  };\n  /*\r\n   * Return the value of this Decimal converted to a number primitive.\r\n   * Zero keeps its sign.\r\n   *\r\n   */\n\n\n  P.toNumber = function () {\n    return +this;\n  };\n  /*\r\n   * Return a string representing the value of this Decimal in base 8, round to `sd` significant\r\n   * digits using rounding mode `rm`.\r\n   *\r\n   * If the optional `sd` argument is present then return binary exponential notation.\r\n   *\r\n   * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n   * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n   *\r\n   */\n\n\n  P.toOctal = function (sd, rm) {\n    return toStringBinary(this, 8, sd, rm);\n  };\n  /*\r\n   * Return a new Decimal whose value is the value of this Decimal raised to the power `y`, rounded\r\n   * to `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   * ECMAScript compliant.\r\n   *\r\n   *   pow(x, NaN)                           = NaN\r\n   *   pow(x, ±0)                            = 1\r\n     *   pow(NaN, non-zero)                    = NaN\r\n   *   pow(abs(x) > 1, +Infinity)            = +Infinity\r\n   *   pow(abs(x) > 1, -Infinity)            = +0\r\n   *   pow(abs(x) == 1, ±Infinity)           = NaN\r\n   *   pow(abs(x) < 1, +Infinity)            = +0\r\n   *   pow(abs(x) < 1, -Infinity)            = +Infinity\r\n   *   pow(+Infinity, y > 0)                 = +Infinity\r\n   *   pow(+Infinity, y < 0)                 = +0\r\n   *   pow(-Infinity, odd integer > 0)       = -Infinity\r\n   *   pow(-Infinity, even integer > 0)      = +Infinity\r\n   *   pow(-Infinity, odd integer < 0)       = -0\r\n   *   pow(-Infinity, even integer < 0)      = +0\r\n   *   pow(+0, y > 0)                        = +0\r\n   *   pow(+0, y < 0)                        = +Infinity\r\n   *   pow(-0, odd integer > 0)              = -0\r\n   *   pow(-0, even integer > 0)             = +0\r\n   *   pow(-0, odd integer < 0)              = -Infinity\r\n   *   pow(-0, even integer < 0)             = +Infinity\r\n   *   pow(finite x < 0, finite non-integer) = NaN\r\n   *\r\n   * For non-integer or very large exponents pow(x, y) is calculated using\r\n   *\r\n   *   x^y = exp(y*ln(x))\r\n   *\r\n   * Assuming the first 15 rounding digits are each equally likely to be any digit 0-9, the\r\n   * probability of an incorrectly rounded result\r\n   * P([49]9{14} | [50]0{14}) = 2 * 0.2 * 10^-14 = 4e-15 = 1/2.5e+14\r\n   * i.e. 1 in 250,000,000,000,000\r\n   *\r\n   * If a result is incorrectly rounded the maximum error will be 1 ulp (unit in last place).\r\n   *\r\n   * y {number|string|Decimal} The power to which to raise this Decimal.\r\n   *\r\n   */\n\n\n  P.toPower = P.pow = function (y) {\n    var e,\n        k,\n        pr,\n        r,\n        rm,\n        s,\n        x = this,\n        Ctor = x.constructor,\n        yn = +(y = new Ctor(y)); // Either ±Infinity, NaN or ±0?\n\n    if (!x.d || !y.d || !x.d[0] || !y.d[0]) return new Ctor(mathpow(+x, yn));\n    x = new Ctor(x);\n    if (x.eq(1)) return x;\n    pr = Ctor.precision;\n    rm = Ctor.rounding;\n    if (y.eq(1)) return finalise(x, pr, rm); // y exponent\n\n    e = mathfloor(y.e / LOG_BASE); // If y is a small integer use the 'exponentiation by squaring' algorithm.\n\n    if (e >= y.d.length - 1 && (k = yn < 0 ? -yn : yn) <= MAX_SAFE_INTEGER) {\n      r = intPow(Ctor, x, k, pr);\n      return y.s < 0 ? new Ctor(1).div(r) : finalise(r, pr, rm);\n    }\n\n    s = x.s; // if x is negative\n\n    if (s < 0) {\n      // if y is not an integer\n      if (e < y.d.length - 1) return new Ctor(NaN); // Result is positive if x is negative and the last digit of integer y is even.\n\n      if ((y.d[e] & 1) == 0) s = 1; // if x.eq(-1)\n\n      if (x.e == 0 && x.d[0] == 1 && x.d.length == 1) {\n        x.s = s;\n        return x;\n      }\n    } // Estimate result exponent.\n    // x^y = 10^e,  where e = y * log10(x)\n    // log10(x) = log10(x_significand) + x_exponent\n    // log10(x_significand) = ln(x_significand) / ln(10)\n\n\n    k = mathpow(+x, yn);\n    e = k == 0 || !isFinite(k) ? mathfloor(yn * (Math.log('0.' + digitsToString(x.d)) / Math.LN10 + x.e + 1)) : new Ctor(k + '').e; // Exponent estimate may be incorrect e.g. x: 0.999999999999999999, y: 2.29, e: 0, r.e: -1.\n    // Overflow/underflow?\n\n    if (e > Ctor.maxE + 1 || e < Ctor.minE - 1) return new Ctor(e > 0 ? s / 0 : 0);\n    external = false;\n    Ctor.rounding = x.s = 1; // Estimate the extra guard digits needed to ensure five correct rounding digits from\n    // naturalLogarithm(x). Example of failure without these extra digits (precision: 10):\n    // new Decimal(2.32456).pow('2087987436534566.46411')\n    // should be 1.162377823e+764914905173815, but is 1.162355823e+764914905173815\n\n    k = Math.min(12, (e + '').length); // r = x^y = exp(y*ln(x))\n\n    r = naturalExponential(y.times(naturalLogarithm(x, pr + k)), pr); // r may be Infinity, e.g. (0.9999999999999999).pow(-1e+40)\n\n    if (r.d) {\n      // Truncate to the required precision plus five rounding digits.\n      r = finalise(r, pr + 5, 1); // If the rounding digits are [49]9999 or [50]0000 increase the precision by 10 and recalculate\n      // the result.\n\n      if (checkRoundingDigits(r.d, pr, rm)) {\n        e = pr + 10; // Truncate to the increased precision plus five rounding digits.\n\n        r = finalise(naturalExponential(y.times(naturalLogarithm(x, e + k)), e), e + 5, 1); // Check for 14 nines from the 2nd rounding digit (the first rounding digit may be 4 or 9).\n\n        if (+digitsToString(r.d).slice(pr + 1, pr + 15) + 1 == 1e14) {\n          r = finalise(r, pr + 1, 0);\n        }\n      }\n    }\n\n    r.s = s;\n    external = true;\n    Ctor.rounding = rm;\n    return finalise(r, pr, rm);\n  };\n  /*\r\n   * Return a string representing the value of this Decimal rounded to `sd` significant digits\r\n   * using rounding mode `rounding`.\r\n   *\r\n   * Return exponential notation if `sd` is less than the number of digits necessary to represent\r\n   * the integer part of the value in normal notation.\r\n   *\r\n   * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n   * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n   *\r\n   */\n\n\n  P.toPrecision = function (sd, rm) {\n    var str,\n        x = this,\n        Ctor = x.constructor;\n\n    if (sd === void 0) {\n      str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\n    } else {\n      checkInt32(sd, 1, MAX_DIGITS);\n      if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n      x = finalise(new Ctor(x), sd, rm);\n      str = finiteToString(x, sd <= x.e || x.e <= Ctor.toExpNeg, sd);\n    }\n\n    return x.isNeg() && !x.isZero() ? '-' + str : str;\n  };\n  /*\r\n   * Return a new Decimal whose value is the value of this Decimal rounded to a maximum of `sd`\r\n   * significant digits using rounding mode `rm`, or to `precision` and `rounding` respectively if\r\n   * omitted.\r\n   *\r\n   * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n   * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n   *\r\n   * 'toSD() digits out of range: {sd}'\r\n   * 'toSD() digits not an integer: {sd}'\r\n   * 'toSD() rounding mode not an integer: {rm}'\r\n   * 'toSD() rounding mode out of range: {rm}'\r\n   *\r\n   */\n\n\n  P.toSignificantDigits = P.toSD = function (sd, rm) {\n    var x = this,\n        Ctor = x.constructor;\n\n    if (sd === void 0) {\n      sd = Ctor.precision;\n      rm = Ctor.rounding;\n    } else {\n      checkInt32(sd, 1, MAX_DIGITS);\n      if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n    }\n\n    return finalise(new Ctor(x), sd, rm);\n  };\n  /*\r\n   * Return a string representing the value of this Decimal.\r\n   *\r\n   * Return exponential notation if this Decimal has a positive exponent equal to or greater than\r\n   * `toExpPos`, or a negative exponent equal to or less than `toExpNeg`.\r\n   *\r\n   */\n\n\n  P.toString = function () {\n    var x = this,\n        Ctor = x.constructor,\n        str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\n    return x.isNeg() && !x.isZero() ? '-' + str : str;\n  };\n  /*\r\n   * Return a new Decimal whose value is the value of this Decimal truncated to a whole number.\r\n   *\r\n   */\n\n\n  P.truncated = P.trunc = function () {\n    return finalise(new this.constructor(this), this.e + 1, 1);\n  };\n  /*\r\n   * Return a string representing the value of this Decimal.\r\n   * Unlike `toString`, negative zero will include the minus sign.\r\n   *\r\n   */\n\n\n  P.valueOf = P.toJSON = function () {\n    var x = this,\n        Ctor = x.constructor,\n        str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\n    return x.isNeg() ? '-' + str : str;\n  };\n  /*\r\n  // Add aliases to match BigDecimal method names.\r\n  // P.add = P.plus;\r\n  P.subtract = P.minus;\r\n  P.multiply = P.times;\r\n  P.divide = P.div;\r\n  P.remainder = P.mod;\r\n  P.compareTo = P.cmp;\r\n  P.negate = P.neg;\r\n   */\n  // Helper functions for Decimal.prototype (P) and/or Decimal methods, and their callers.\n\n  /*\r\n   *  digitsToString           P.cubeRoot, P.logarithm, P.squareRoot, P.toFraction, P.toPower,\r\n   *                           finiteToString, naturalExponential, naturalLogarithm\r\n   *  checkInt32               P.toDecimalPlaces, P.toExponential, P.toFixed, P.toNearest,\r\n   *                           P.toPrecision, P.toSignificantDigits, toStringBinary, random\r\n   *  checkRoundingDigits      P.logarithm, P.toPower, naturalExponential, naturalLogarithm\r\n   *  convertBase              toStringBinary, parseOther\r\n   *  cos                      P.cos\r\n   *  divide                   P.atanh, P.cubeRoot, P.dividedBy, P.dividedToIntegerBy,\r\n   *                           P.logarithm, P.modulo, P.squareRoot, P.tan, P.tanh, P.toFraction,\r\n   *                           P.toNearest, toStringBinary, naturalExponential, naturalLogarithm,\r\n   *                           taylorSeries, atan2, parseOther\r\n   *  finalise                 P.absoluteValue, P.atan, P.atanh, P.ceil, P.cos, P.cosh,\r\n   *                           P.cubeRoot, P.dividedToIntegerBy, P.floor, P.logarithm, P.minus,\r\n   *                           P.modulo, P.negated, P.plus, P.round, P.sin, P.sinh, P.squareRoot,\r\n   *                           P.tan, P.times, P.toDecimalPlaces, P.toExponential, P.toFixed,\r\n   *                           P.toNearest, P.toPower, P.toPrecision, P.toSignificantDigits,\r\n   *                           P.truncated, divide, getLn10, getPi, naturalExponential,\r\n   *                           naturalLogarithm, ceil, floor, round, trunc\r\n   *  finiteToString           P.toExponential, P.toFixed, P.toPrecision, P.toString, P.valueOf,\r\n   *                           toStringBinary\r\n   *  getBase10Exponent        P.minus, P.plus, P.times, parseOther\r\n   *  getLn10                  P.logarithm, naturalLogarithm\r\n   *  getPi                    P.acos, P.asin, P.atan, toLessThanHalfPi, atan2\r\n   *  getPrecision             P.precision, P.toFraction\r\n   *  getZeroString            digitsToString, finiteToString\r\n   *  intPow                   P.toPower, parseOther\r\n   *  isOdd                    toLessThanHalfPi\r\n   *  maxOrMin                 max, min\r\n   *  naturalExponential       P.naturalExponential, P.toPower\r\n   *  naturalLogarithm         P.acosh, P.asinh, P.atanh, P.logarithm, P.naturalLogarithm,\r\n   *                           P.toPower, naturalExponential\r\n   *  nonFiniteToString        finiteToString, toStringBinary\r\n   *  parseDecimal             Decimal\r\n   *  parseOther               Decimal\r\n   *  sin                      P.sin\r\n   *  taylorSeries             P.cosh, P.sinh, cos, sin\r\n   *  toLessThanHalfPi         P.cos, P.sin\r\n   *  toStringBinary           P.toBinary, P.toHexadecimal, P.toOctal\r\n   *  truncate                 intPow\r\n   *\r\n   *  Throws:                  P.logarithm, P.precision, P.toFraction, checkInt32, getLn10, getPi,\r\n   *                           naturalLogarithm, config, parseOther, random, Decimal\r\n   */\n\n\n  function digitsToString(d) {\n    var i,\n        k,\n        ws,\n        indexOfLastWord = d.length - 1,\n        str = '',\n        w = d[0];\n\n    if (indexOfLastWord > 0) {\n      str += w;\n\n      for (i = 1; i < indexOfLastWord; i++) {\n        ws = d[i] + '';\n        k = LOG_BASE - ws.length;\n        if (k) str += getZeroString(k);\n        str += ws;\n      }\n\n      w = d[i];\n      ws = w + '';\n      k = LOG_BASE - ws.length;\n      if (k) str += getZeroString(k);\n    } else if (w === 0) {\n      return '0';\n    } // Remove trailing zeros of last w.\n\n\n    for (; w % 10 === 0;) {\n      w /= 10;\n    }\n\n    return str + w;\n  }\n\n  function checkInt32(i, min, max) {\n    if (i !== ~~i || i < min || i > max) {\n      throw Error(invalidArgument + i);\n    }\n  }\n  /*\r\n   * Check 5 rounding digits if `repeating` is null, 4 otherwise.\r\n   * `repeating == null` if caller is `log` or `pow`,\r\n   * `repeating != null` if caller is `naturalLogarithm` or `naturalExponential`.\r\n   */\n\n\n  function checkRoundingDigits(d, i, rm, repeating) {\n    var di, k, r, rd; // Get the length of the first word of the array d.\n\n    for (k = d[0]; k >= 10; k /= 10) {\n      --i;\n    } // Is the rounding digit in the first word of d?\n\n\n    if (--i < 0) {\n      i += LOG_BASE;\n      di = 0;\n    } else {\n      di = Math.ceil((i + 1) / LOG_BASE);\n      i %= LOG_BASE;\n    } // i is the index (0 - 6) of the rounding digit.\n    // E.g. if within the word 3487563 the first rounding digit is 5,\n    // then i = 4, k = 1000, rd = 3487563 % 1000 = 563\n\n\n    k = mathpow(10, LOG_BASE - i);\n    rd = d[di] % k | 0;\n\n    if (repeating == null) {\n      if (i < 3) {\n        if (i == 0) rd = rd / 100 | 0;else if (i == 1) rd = rd / 10 | 0;\n        r = rm < 4 && rd == 99999 || rm > 3 && rd == 49999 || rd == 50000 || rd == 0;\n      } else {\n        r = (rm < 4 && rd + 1 == k || rm > 3 && rd + 1 == k / 2) && (d[di + 1] / k / 100 | 0) == mathpow(10, i - 2) - 1 || (rd == k / 2 || rd == 0) && (d[di + 1] / k / 100 | 0) == 0;\n      }\n    } else {\n      if (i < 4) {\n        if (i == 0) rd = rd / 1000 | 0;else if (i == 1) rd = rd / 100 | 0;else if (i == 2) rd = rd / 10 | 0;\n        r = (repeating || rm < 4) && rd == 9999 || !repeating && rm > 3 && rd == 4999;\n      } else {\n        r = ((repeating || rm < 4) && rd + 1 == k || !repeating && rm > 3 && rd + 1 == k / 2) && (d[di + 1] / k / 1000 | 0) == mathpow(10, i - 3) - 1;\n      }\n    }\n\n    return r;\n  } // Convert string of `baseIn` to an array of numbers of `baseOut`.\n  // Eg. convertBase('255', 10, 16) returns [15, 15].\n  // Eg. convertBase('ff', 16, 10) returns [2, 5, 5].\n\n\n  function convertBase(str, baseIn, baseOut) {\n    var j,\n        arr = [0],\n        arrL,\n        i = 0,\n        strL = str.length;\n\n    for (; i < strL;) {\n      for (arrL = arr.length; arrL--;) {\n        arr[arrL] *= baseIn;\n      }\n\n      arr[0] += NUMERALS.indexOf(str.charAt(i++));\n\n      for (j = 0; j < arr.length; j++) {\n        if (arr[j] > baseOut - 1) {\n          if (arr[j + 1] === void 0) arr[j + 1] = 0;\n          arr[j + 1] += arr[j] / baseOut | 0;\n          arr[j] %= baseOut;\n        }\n      }\n    }\n\n    return arr.reverse();\n  }\n  /*\r\n   * cos(x) = 1 - x^2/2! + x^4/4! - ...\r\n   * |x| < pi/2\r\n   *\r\n   */\n\n\n  function cosine(Ctor, x) {\n    var k,\n        y,\n        len = x.d.length; // Argument reduction: cos(4x) = 8*(cos^4(x) - cos^2(x)) + 1\n    // i.e. cos(x) = 8*(cos^4(x/4) - cos^2(x/4)) + 1\n    // Estimate the optimum number of times to use the argument reduction.\n\n    if (len < 32) {\n      k = Math.ceil(len / 3);\n      y = Math.pow(4, -k).toString();\n    } else {\n      k = 16;\n      y = '2.3283064365386962890625e-10';\n    }\n\n    Ctor.precision += k;\n    x = taylorSeries(Ctor, 1, x.times(y), new Ctor(1)); // Reverse argument reduction\n\n    for (var i = k; i--;) {\n      var cos2x = x.times(x);\n      x = cos2x.times(cos2x).minus(cos2x).times(8).plus(1);\n    }\n\n    Ctor.precision -= k;\n    return x;\n  }\n  /*\r\n   * Perform division in the specified base.\r\n   */\n\n\n  var divide = function () {\n    // Assumes non-zero x and k, and hence non-zero result.\n    function multiplyInteger(x, k, base) {\n      var temp,\n          carry = 0,\n          i = x.length;\n\n      for (x = x.slice(); i--;) {\n        temp = x[i] * k + carry;\n        x[i] = temp % base | 0;\n        carry = temp / base | 0;\n      }\n\n      if (carry) x.unshift(carry);\n      return x;\n    }\n\n    function compare(a, b, aL, bL) {\n      var i, r;\n\n      if (aL != bL) {\n        r = aL > bL ? 1 : -1;\n      } else {\n        for (i = r = 0; i < aL; i++) {\n          if (a[i] != b[i]) {\n            r = a[i] > b[i] ? 1 : -1;\n            break;\n          }\n        }\n      }\n\n      return r;\n    }\n\n    function subtract(a, b, aL, base) {\n      var i = 0; // Subtract b from a.\n\n      for (; aL--;) {\n        a[aL] -= i;\n        i = a[aL] < b[aL] ? 1 : 0;\n        a[aL] = i * base + a[aL] - b[aL];\n      } // Remove leading zeros.\n\n\n      for (; !a[0] && a.length > 1;) {\n        a.shift();\n      }\n    }\n\n    return function (x, y, pr, rm, dp, base) {\n      var cmp,\n          e,\n          i,\n          k,\n          logBase,\n          more,\n          prod,\n          prodL,\n          q,\n          qd,\n          rem,\n          remL,\n          rem0,\n          sd,\n          t,\n          xi,\n          xL,\n          yd0,\n          yL,\n          yz,\n          Ctor = x.constructor,\n          sign = x.s == y.s ? 1 : -1,\n          xd = x.d,\n          yd = y.d; // Either NaN, Infinity or 0?\n\n      if (!xd || !xd[0] || !yd || !yd[0]) {\n        return new Ctor( // Return NaN if either NaN, or both Infinity or 0.\n        !x.s || !y.s || (xd ? yd && xd[0] == yd[0] : !yd) ? NaN : // Return ±0 if x is 0 or y is ±Infinity, or return ±Infinity as y is 0.\n        xd && xd[0] == 0 || !yd ? sign * 0 : sign / 0);\n      }\n\n      if (base) {\n        logBase = 1;\n        e = x.e - y.e;\n      } else {\n        base = BASE;\n        logBase = LOG_BASE;\n        e = mathfloor(x.e / logBase) - mathfloor(y.e / logBase);\n      }\n\n      yL = yd.length;\n      xL = xd.length;\n      q = new Ctor(sign);\n      qd = q.d = []; // Result exponent may be one less than e.\n      // The digit array of a Decimal from toStringBinary may have trailing zeros.\n\n      for (i = 0; yd[i] == (xd[i] || 0); i++) {\n        ;\n      }\n\n      if (yd[i] > (xd[i] || 0)) e--;\n\n      if (pr == null) {\n        sd = pr = Ctor.precision;\n        rm = Ctor.rounding;\n      } else if (dp) {\n        sd = pr + (x.e - y.e) + 1;\n      } else {\n        sd = pr;\n      }\n\n      if (sd < 0) {\n        qd.push(1);\n        more = true;\n      } else {\n        // Convert precision in number of base 10 digits to base 1e7 digits.\n        sd = sd / logBase + 2 | 0;\n        i = 0; // divisor < 1e7\n\n        if (yL == 1) {\n          k = 0;\n          yd = yd[0];\n          sd++; // k is the carry.\n\n          for (; (i < xL || k) && sd--; i++) {\n            t = k * base + (xd[i] || 0);\n            qd[i] = t / yd | 0;\n            k = t % yd | 0;\n          }\n\n          more = k || i < xL; // divisor >= 1e7\n        } else {\n          // Normalise xd and yd so highest order digit of yd is >= base/2\n          k = base / (yd[0] + 1) | 0;\n\n          if (k > 1) {\n            yd = multiplyInteger(yd, k, base);\n            xd = multiplyInteger(xd, k, base);\n            yL = yd.length;\n            xL = xd.length;\n          }\n\n          xi = yL;\n          rem = xd.slice(0, yL);\n          remL = rem.length; // Add zeros to make remainder as long as divisor.\n\n          for (; remL < yL;) {\n            rem[remL++] = 0;\n          }\n\n          yz = yd.slice();\n          yz.unshift(0);\n          yd0 = yd[0];\n          if (yd[1] >= base / 2) ++yd0;\n\n          do {\n            k = 0; // Compare divisor and remainder.\n\n            cmp = compare(yd, rem, yL, remL); // If divisor < remainder.\n\n            if (cmp < 0) {\n              // Calculate trial digit, k.\n              rem0 = rem[0];\n              if (yL != remL) rem0 = rem0 * base + (rem[1] || 0); // k will be how many times the divisor goes into the current remainder.\n\n              k = rem0 / yd0 | 0; //  Algorithm:\n              //  1. product = divisor * trial digit (k)\n              //  2. if product > remainder: product -= divisor, k--\n              //  3. remainder -= product\n              //  4. if product was < remainder at 2:\n              //    5. compare new remainder and divisor\n              //    6. If remainder > divisor: remainder -= divisor, k++\n\n              if (k > 1) {\n                if (k >= base) k = base - 1; // product = divisor * trial digit.\n\n                prod = multiplyInteger(yd, k, base);\n                prodL = prod.length;\n                remL = rem.length; // Compare product and remainder.\n\n                cmp = compare(prod, rem, prodL, remL); // product > remainder.\n\n                if (cmp == 1) {\n                  k--; // Subtract divisor from product.\n\n                  subtract(prod, yL < prodL ? yz : yd, prodL, base);\n                }\n              } else {\n                // cmp is -1.\n                // If k is 0, there is no need to compare yd and rem again below, so change cmp to 1\n                // to avoid it. If k is 1 there is a need to compare yd and rem again below.\n                if (k == 0) cmp = k = 1;\n                prod = yd.slice();\n              }\n\n              prodL = prod.length;\n              if (prodL < remL) prod.unshift(0); // Subtract product from remainder.\n\n              subtract(rem, prod, remL, base); // If product was < previous remainder.\n\n              if (cmp == -1) {\n                remL = rem.length; // Compare divisor and new remainder.\n\n                cmp = compare(yd, rem, yL, remL); // If divisor < new remainder, subtract divisor from remainder.\n\n                if (cmp < 1) {\n                  k++; // Subtract divisor from remainder.\n\n                  subtract(rem, yL < remL ? yz : yd, remL, base);\n                }\n              }\n\n              remL = rem.length;\n            } else if (cmp === 0) {\n              k++;\n              rem = [0];\n            } // if cmp === 1, k will be 0\n            // Add the next digit, k, to the result array.\n\n\n            qd[i++] = k; // Update the remainder.\n\n            if (cmp && rem[0]) {\n              rem[remL++] = xd[xi] || 0;\n            } else {\n              rem = [xd[xi]];\n              remL = 1;\n            }\n          } while ((xi++ < xL || rem[0] !== void 0) && sd--);\n\n          more = rem[0] !== void 0;\n        } // Leading zero?\n\n\n        if (!qd[0]) qd.shift();\n      } // logBase is 1 when divide is being used for base conversion.\n\n\n      if (logBase == 1) {\n        q.e = e;\n        inexact = more;\n      } else {\n        // To calculate q.e, first get the number of digits of qd[0].\n        for (i = 1, k = qd[0]; k >= 10; k /= 10) {\n          i++;\n        }\n\n        q.e = i + e * logBase - 1;\n        finalise(q, dp ? pr + q.e + 1 : pr, rm, more);\n      }\n\n      return q;\n    };\n  }();\n  /*\r\n   * Round `x` to `sd` significant digits using rounding mode `rm`.\r\n   * Check for over/under-flow.\r\n   */\n\n\n  function finalise(x, sd, rm, isTruncated) {\n    var digits,\n        i,\n        j,\n        k,\n        rd,\n        roundUp,\n        w,\n        xd,\n        xdi,\n        Ctor = x.constructor; // Don't round if sd is null or undefined.\n\n    out: if (sd != null) {\n      xd = x.d; // Infinity/NaN.\n\n      if (!xd) return x; // rd: the rounding digit, i.e. the digit after the digit that may be rounded up.\n      // w: the word of xd containing rd, a base 1e7 number.\n      // xdi: the index of w within xd.\n      // digits: the number of digits of w.\n      // i: what would be the index of rd within w if all the numbers were 7 digits long (i.e. if\n      // they had leading zeros)\n      // j: if > 0, the actual index of rd within w (if < 0, rd is a leading zero).\n      // Get the length of the first word of the digits array xd.\n\n      for (digits = 1, k = xd[0]; k >= 10; k /= 10) {\n        digits++;\n      }\n\n      i = sd - digits; // Is the rounding digit in the first word of xd?\n\n      if (i < 0) {\n        i += LOG_BASE;\n        j = sd;\n        w = xd[xdi = 0]; // Get the rounding digit at index j of w.\n\n        rd = w / mathpow(10, digits - j - 1) % 10 | 0;\n      } else {\n        xdi = Math.ceil((i + 1) / LOG_BASE);\n        k = xd.length;\n\n        if (xdi >= k) {\n          if (isTruncated) {\n            // Needed by `naturalExponential`, `naturalLogarithm` and `squareRoot`.\n            for (; k++ <= xdi;) {\n              xd.push(0);\n            }\n\n            w = rd = 0;\n            digits = 1;\n            i %= LOG_BASE;\n            j = i - LOG_BASE + 1;\n          } else {\n            break out;\n          }\n        } else {\n          w = k = xd[xdi]; // Get the number of digits of w.\n\n          for (digits = 1; k >= 10; k /= 10) {\n            digits++;\n          } // Get the index of rd within w.\n\n\n          i %= LOG_BASE; // Get the index of rd within w, adjusted for leading zeros.\n          // The number of leading zeros of w is given by LOG_BASE - digits.\n\n          j = i - LOG_BASE + digits; // Get the rounding digit at index j of w.\n\n          rd = j < 0 ? 0 : w / mathpow(10, digits - j - 1) % 10 | 0;\n        }\n      } // Are there any non-zero digits after the rounding digit?\n\n\n      isTruncated = isTruncated || sd < 0 || xd[xdi + 1] !== void 0 || (j < 0 ? w : w % mathpow(10, digits - j - 1)); // The expression `w % mathpow(10, digits - j - 1)` returns all the digits of w to the right\n      // of the digit at (left-to-right) index j, e.g. if w is 908714 and j is 2, the expression\n      // will give 714.\n\n      roundUp = rm < 4 ? (rd || isTruncated) && (rm == 0 || rm == (x.s < 0 ? 3 : 2)) : rd > 5 || rd == 5 && (rm == 4 || isTruncated || rm == 6 && // Check whether the digit to the left of the rounding digit is odd.\n      (i > 0 ? j > 0 ? w / mathpow(10, digits - j) : 0 : xd[xdi - 1]) % 10 & 1 || rm == (x.s < 0 ? 8 : 7));\n\n      if (sd < 1 || !xd[0]) {\n        xd.length = 0;\n\n        if (roundUp) {\n          // Convert sd to decimal places.\n          sd -= x.e + 1; // 1, 0.1, 0.01, 0.001, 0.0001 etc.\n\n          xd[0] = mathpow(10, (LOG_BASE - sd % LOG_BASE) % LOG_BASE);\n          x.e = -sd || 0;\n        } else {\n          // Zero.\n          xd[0] = x.e = 0;\n        }\n\n        return x;\n      } // Remove excess digits.\n\n\n      if (i == 0) {\n        xd.length = xdi;\n        k = 1;\n        xdi--;\n      } else {\n        xd.length = xdi + 1;\n        k = mathpow(10, LOG_BASE - i); // E.g. 56700 becomes 56000 if 7 is the rounding digit.\n        // j > 0 means i > number of leading zeros of w.\n\n        xd[xdi] = j > 0 ? (w / mathpow(10, digits - j) % mathpow(10, j) | 0) * k : 0;\n      }\n\n      if (roundUp) {\n        for (;;) {\n          // Is the digit to be rounded up in the first word of xd?\n          if (xdi == 0) {\n            // i will be the length of xd[0] before k is added.\n            for (i = 1, j = xd[0]; j >= 10; j /= 10) {\n              i++;\n            }\n\n            j = xd[0] += k;\n\n            for (k = 1; j >= 10; j /= 10) {\n              k++;\n            } // if i != k the length has increased.\n\n\n            if (i != k) {\n              x.e++;\n              if (xd[0] == BASE) xd[0] = 1;\n            }\n\n            break;\n          } else {\n            xd[xdi] += k;\n            if (xd[xdi] != BASE) break;\n            xd[xdi--] = 0;\n            k = 1;\n          }\n        }\n      } // Remove trailing zeros.\n\n\n      for (i = xd.length; xd[--i] === 0;) {\n        xd.pop();\n      }\n    }\n\n    if (external) {\n      // Overflow?\n      if (x.e > Ctor.maxE) {\n        // Infinity.\n        x.d = null;\n        x.e = NaN; // Underflow?\n      } else if (x.e < Ctor.minE) {\n        // Zero.\n        x.e = 0;\n        x.d = [0]; // Ctor.underflow = true;\n      } // else Ctor.underflow = false;\n\n    }\n\n    return x;\n  }\n\n  function finiteToString(x, isExp, sd) {\n    if (!x.isFinite()) return nonFiniteToString(x);\n    var k,\n        e = x.e,\n        str = digitsToString(x.d),\n        len = str.length;\n\n    if (isExp) {\n      if (sd && (k = sd - len) > 0) {\n        str = str.charAt(0) + '.' + str.slice(1) + getZeroString(k);\n      } else if (len > 1) {\n        str = str.charAt(0) + '.' + str.slice(1);\n      }\n\n      str = str + (x.e < 0 ? 'e' : 'e+') + x.e;\n    } else if (e < 0) {\n      str = '0.' + getZeroString(-e - 1) + str;\n      if (sd && (k = sd - len) > 0) str += getZeroString(k);\n    } else if (e >= len) {\n      str += getZeroString(e + 1 - len);\n      if (sd && (k = sd - e - 1) > 0) str = str + '.' + getZeroString(k);\n    } else {\n      if ((k = e + 1) < len) str = str.slice(0, k) + '.' + str.slice(k);\n\n      if (sd && (k = sd - len) > 0) {\n        if (e + 1 === len) str += '.';\n        str += getZeroString(k);\n      }\n    }\n\n    return str;\n  } // Calculate the base 10 exponent from the base 1e7 exponent.\n\n\n  function getBase10Exponent(digits, e) {\n    var w = digits[0]; // Add the number of digits of the first word of the digits array.\n\n    for (e *= LOG_BASE; w >= 10; w /= 10) {\n      e++;\n    }\n\n    return e;\n  }\n\n  function getLn10(Ctor, sd, pr) {\n    if (sd > LN10_PRECISION) {\n      // Reset global state in case the exception is caught.\n      external = true;\n      if (pr) Ctor.precision = pr;\n      throw Error(precisionLimitExceeded);\n    }\n\n    return finalise(new Ctor(LN10), sd, 1, true);\n  }\n\n  function getPi(Ctor, sd, rm) {\n    if (sd > PI_PRECISION) throw Error(precisionLimitExceeded);\n    return finalise(new Ctor(PI), sd, rm, true);\n  }\n\n  function getPrecision(digits) {\n    var w = digits.length - 1,\n        len = w * LOG_BASE + 1;\n    w = digits[w]; // If non-zero...\n\n    if (w) {\n      // Subtract the number of trailing zeros of the last word.\n      for (; w % 10 == 0; w /= 10) {\n        len--;\n      } // Add the number of digits of the first word.\n\n\n      for (w = digits[0]; w >= 10; w /= 10) {\n        len++;\n      }\n    }\n\n    return len;\n  }\n\n  function getZeroString(k) {\n    var zs = '';\n\n    for (; k--;) {\n      zs += '0';\n    }\n\n    return zs;\n  }\n  /*\r\n   * Return a new Decimal whose value is the value of Decimal `x` to the power `n`, where `n` is an\r\n   * integer of type number.\r\n   *\r\n   * Implements 'exponentiation by squaring'. Called by `pow` and `parseOther`.\r\n   *\r\n   */\n\n\n  function intPow(Ctor, x, n, pr) {\n    var isTruncated,\n        r = new Ctor(1),\n        // Max n of 9007199254740991 takes 53 loop iterations.\n    // Maximum digits array length; leaves [28, 34] guard digits.\n    k = Math.ceil(pr / LOG_BASE + 4);\n    external = false;\n\n    for (;;) {\n      if (n % 2) {\n        r = r.times(x);\n        if (truncate(r.d, k)) isTruncated = true;\n      }\n\n      n = mathfloor(n / 2);\n\n      if (n === 0) {\n        // To ensure correct rounding when r.d is truncated, increment the last word if it is zero.\n        n = r.d.length - 1;\n        if (isTruncated && r.d[n] === 0) ++r.d[n];\n        break;\n      }\n\n      x = x.times(x);\n      truncate(x.d, k);\n    }\n\n    external = true;\n    return r;\n  }\n\n  function isOdd(n) {\n    return n.d[n.d.length - 1] & 1;\n  }\n  /*\r\n   * Handle `max` and `min`. `ltgt` is 'lt' or 'gt'.\r\n   */\n\n\n  function maxOrMin(Ctor, args, ltgt) {\n    var y,\n        x = new Ctor(args[0]),\n        i = 0;\n\n    for (; ++i < args.length;) {\n      y = new Ctor(args[i]);\n\n      if (!y.s) {\n        x = y;\n        break;\n      } else if (x[ltgt](y)) {\n        x = y;\n      }\n    }\n\n    return x;\n  }\n  /*\r\n   * Return a new Decimal whose value is the natural exponential of `x` rounded to `sd` significant\r\n   * digits.\r\n   *\r\n   * Taylor/Maclaurin series.\r\n   *\r\n   * exp(x) = x^0/0! + x^1/1! + x^2/2! + x^3/3! + ...\r\n   *\r\n   * Argument reduction:\r\n   *   Repeat x = x / 32, k += 5, until |x| < 0.1\r\n   *   exp(x) = exp(x / 2^k)^(2^k)\r\n   *\r\n   * Previously, the argument was initially reduced by\r\n   * exp(x) = exp(r) * 10^k  where r = x - k * ln10, k = floor(x / ln10)\r\n   * to first put r in the range [0, ln10], before dividing by 32 until |x| < 0.1, but this was\r\n   * found to be slower than just dividing repeatedly by 32 as above.\r\n   *\r\n   * Max integer argument: exp('20723265836946413') = 6.3e+9000000000000000\r\n   * Min integer argument: exp('-20723265836946411') = 1.2e-9000000000000000\r\n   * (Math object integer min/max: Math.exp(709) = 8.2e+307, Math.exp(-745) = 5e-324)\r\n   *\r\n   *  exp(Infinity)  = Infinity\r\n   *  exp(-Infinity) = 0\r\n   *  exp(NaN)       = NaN\r\n   *  exp(±0)        = 1\r\n   *\r\n   *  exp(x) is non-terminating for any finite, non-zero x.\r\n   *\r\n   *  The result will always be correctly rounded.\r\n   *\r\n   */\n\n\n  function naturalExponential(x, sd) {\n    var denominator,\n        guard,\n        j,\n        pow,\n        sum,\n        t,\n        wpr,\n        rep = 0,\n        i = 0,\n        k = 0,\n        Ctor = x.constructor,\n        rm = Ctor.rounding,\n        pr = Ctor.precision; // 0/NaN/Infinity?\n\n    if (!x.d || !x.d[0] || x.e > 17) {\n      return new Ctor(x.d ? !x.d[0] ? 1 : x.s < 0 ? 0 : 1 / 0 : x.s ? x.s < 0 ? 0 : x : 0 / 0);\n    }\n\n    if (sd == null) {\n      external = false;\n      wpr = pr;\n    } else {\n      wpr = sd;\n    }\n\n    t = new Ctor(0.03125); // while abs(x) >= 0.1\n\n    while (x.e > -2) {\n      // x = x / 2^5\n      x = x.times(t);\n      k += 5;\n    } // Use 2 * log10(2^k) + 5 (empirically derived) to estimate the increase in precision\n    // necessary to ensure the first 4 rounding digits are correct.\n\n\n    guard = Math.log(mathpow(2, k)) / Math.LN10 * 2 + 5 | 0;\n    wpr += guard;\n    denominator = pow = sum = new Ctor(1);\n    Ctor.precision = wpr;\n\n    for (;;) {\n      pow = finalise(pow.times(x), wpr, 1);\n      denominator = denominator.times(++i);\n      t = sum.plus(divide(pow, denominator, wpr, 1));\n\n      if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum.d).slice(0, wpr)) {\n        j = k;\n\n        while (j--) {\n          sum = finalise(sum.times(sum), wpr, 1);\n        } // Check to see if the first 4 rounding digits are [49]999.\n        // If so, repeat the summation with a higher precision, otherwise\n        // e.g. with precision: 18, rounding: 1\n        // exp(18.404272462595034083567793919843761) = 98372560.1229999999 (should be 98372560.123)\n        // `wpr - guard` is the index of first rounding digit.\n\n\n        if (sd == null) {\n          if (rep < 3 && checkRoundingDigits(sum.d, wpr - guard, rm, rep)) {\n            Ctor.precision = wpr += 10;\n            denominator = pow = t = new Ctor(1);\n            i = 0;\n            rep++;\n          } else {\n            return finalise(sum, Ctor.precision = pr, rm, external = true);\n          }\n        } else {\n          Ctor.precision = pr;\n          return sum;\n        }\n      }\n\n      sum = t;\n    }\n  }\n  /*\r\n   * Return a new Decimal whose value is the natural logarithm of `x` rounded to `sd` significant\r\n   * digits.\r\n   *\r\n   *  ln(-n)        = NaN\r\n   *  ln(0)         = -Infinity\r\n   *  ln(-0)        = -Infinity\r\n   *  ln(1)         = 0\r\n   *  ln(Infinity)  = Infinity\r\n   *  ln(-Infinity) = NaN\r\n   *  ln(NaN)       = NaN\r\n   *\r\n   *  ln(n) (n != 1) is non-terminating.\r\n   *\r\n   */\n\n\n  function naturalLogarithm(y, sd) {\n    var c,\n        c0,\n        denominator,\n        e,\n        numerator,\n        rep,\n        sum,\n        t,\n        wpr,\n        x1,\n        x2,\n        n = 1,\n        guard = 10,\n        x = y,\n        xd = x.d,\n        Ctor = x.constructor,\n        rm = Ctor.rounding,\n        pr = Ctor.precision; // Is x negative or Infinity, NaN, 0 or 1?\n\n    if (x.s < 0 || !xd || !xd[0] || !x.e && xd[0] == 1 && xd.length == 1) {\n      return new Ctor(xd && !xd[0] ? -1 / 0 : x.s != 1 ? NaN : xd ? 0 : x);\n    }\n\n    if (sd == null) {\n      external = false;\n      wpr = pr;\n    } else {\n      wpr = sd;\n    }\n\n    Ctor.precision = wpr += guard;\n    c = digitsToString(xd);\n    c0 = c.charAt(0);\n\n    if (Math.abs(e = x.e) < 1.5e15) {\n      // Argument reduction.\n      // The series converges faster the closer the argument is to 1, so using\n      // ln(a^b) = b * ln(a),   ln(a) = ln(a^b) / b\n      // multiply the argument by itself until the leading digits of the significand are 7, 8, 9,\n      // 10, 11, 12 or 13, recording the number of multiplications so the sum of the series can\n      // later be divided by this number, then separate out the power of 10 using\n      // ln(a*10^b) = ln(a) + b*ln(10).\n      // max n is 21 (gives 0.9, 1.0 or 1.1) (9e15 / 21 = 4.2e14).\n      //while (c0 < 9 && c0 != 1 || c0 == 1 && c.charAt(1) > 1) {\n      // max n is 6 (gives 0.7 - 1.3)\n      while (c0 < 7 && c0 != 1 || c0 == 1 && c.charAt(1) > 3) {\n        x = x.times(y);\n        c = digitsToString(x.d);\n        c0 = c.charAt(0);\n        n++;\n      }\n\n      e = x.e;\n\n      if (c0 > 1) {\n        x = new Ctor('0.' + c);\n        e++;\n      } else {\n        x = new Ctor(c0 + '.' + c.slice(1));\n      }\n    } else {\n      // The argument reduction method above may result in overflow if the argument y is a massive\n      // number with exponent >= 1500000000000000 (9e15 / 6 = 1.5e15), so instead recall this\n      // function using ln(x*10^e) = ln(x) + e*ln(10).\n      t = getLn10(Ctor, wpr + 2, pr).times(e + '');\n      x = naturalLogarithm(new Ctor(c0 + '.' + c.slice(1)), wpr - guard).plus(t);\n      Ctor.precision = pr;\n      return sd == null ? finalise(x, pr, rm, external = true) : x;\n    } // x1 is x reduced to a value near 1.\n\n\n    x1 = x; // Taylor series.\n    // ln(y) = ln((1 + x)/(1 - x)) = 2(x + x^3/3 + x^5/5 + x^7/7 + ...)\n    // where x = (y - 1)/(y + 1)    (|x| < 1)\n\n    sum = numerator = x = divide(x.minus(1), x.plus(1), wpr, 1);\n    x2 = finalise(x.times(x), wpr, 1);\n    denominator = 3;\n\n    for (;;) {\n      numerator = finalise(numerator.times(x2), wpr, 1);\n      t = sum.plus(divide(numerator, new Ctor(denominator), wpr, 1));\n\n      if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum.d).slice(0, wpr)) {\n        sum = sum.times(2); // Reverse the argument reduction. Check that e is not 0 because, besides preventing an\n        // unnecessary calculation, -0 + 0 = +0 and to ensure correct rounding -0 needs to stay -0.\n\n        if (e !== 0) sum = sum.plus(getLn10(Ctor, wpr + 2, pr).times(e + ''));\n        sum = divide(sum, new Ctor(n), wpr, 1); // Is rm > 3 and the first 4 rounding digits 4999, or rm < 4 (or the summation has\n        // been repeated previously) and the first 4 rounding digits 9999?\n        // If so, restart the summation with a higher precision, otherwise\n        // e.g. with precision: 12, rounding: 1\n        // ln(135520028.6126091714265381533) = 18.7246299999 when it should be 18.72463.\n        // `wpr - guard` is the index of first rounding digit.\n\n        if (sd == null) {\n          if (checkRoundingDigits(sum.d, wpr - guard, rm, rep)) {\n            Ctor.precision = wpr += guard;\n            t = numerator = x = divide(x1.minus(1), x1.plus(1), wpr, 1);\n            x2 = finalise(x.times(x), wpr, 1);\n            denominator = rep = 1;\n          } else {\n            return finalise(sum, Ctor.precision = pr, rm, external = true);\n          }\n        } else {\n          Ctor.precision = pr;\n          return sum;\n        }\n      }\n\n      sum = t;\n      denominator += 2;\n    }\n  } // ±Infinity, NaN.\n\n\n  function nonFiniteToString(x) {\n    // Unsigned.\n    return String(x.s * x.s / 0);\n  }\n  /*\r\n   * Parse the value of a new Decimal `x` from string `str`.\r\n   */\n\n\n  function parseDecimal(x, str) {\n    var e, i, len; // Decimal point?\n\n    if ((e = str.indexOf('.')) > -1) str = str.replace('.', ''); // Exponential form?\n\n    if ((i = str.search(/e/i)) > 0) {\n      // Determine exponent.\n      if (e < 0) e = i;\n      e += +str.slice(i + 1);\n      str = str.substring(0, i);\n    } else if (e < 0) {\n      // Integer.\n      e = str.length;\n    } // Determine leading zeros.\n\n\n    for (i = 0; str.charCodeAt(i) === 48; i++) {\n      ;\n    } // Determine trailing zeros.\n\n\n    for (len = str.length; str.charCodeAt(len - 1) === 48; --len) {\n      ;\n    }\n\n    str = str.slice(i, len);\n\n    if (str) {\n      len -= i;\n      x.e = e = e - i - 1;\n      x.d = []; // Transform base\n      // e is the base 10 exponent.\n      // i is where to slice str to get the first word of the digits array.\n\n      i = (e + 1) % LOG_BASE;\n      if (e < 0) i += LOG_BASE;\n\n      if (i < len) {\n        if (i) x.d.push(+str.slice(0, i));\n\n        for (len -= LOG_BASE; i < len;) {\n          x.d.push(+str.slice(i, i += LOG_BASE));\n        }\n\n        str = str.slice(i);\n        i = LOG_BASE - str.length;\n      } else {\n        i -= len;\n      }\n\n      for (; i--;) {\n        str += '0';\n      }\n\n      x.d.push(+str);\n\n      if (external) {\n        // Overflow?\n        if (x.e > x.constructor.maxE) {\n          // Infinity.\n          x.d = null;\n          x.e = NaN; // Underflow?\n        } else if (x.e < x.constructor.minE) {\n          // Zero.\n          x.e = 0;\n          x.d = [0]; // x.constructor.underflow = true;\n        } // else x.constructor.underflow = false;\n\n      }\n    } else {\n      // Zero.\n      x.e = 0;\n      x.d = [0];\n    }\n\n    return x;\n  }\n  /*\r\n   * Parse the value of a new Decimal `x` from a string `str`, which is not a decimal value.\r\n   */\n\n\n  function parseOther(x, str) {\n    var base, Ctor, divisor, i, isFloat, len, p, xd, xe;\n\n    if (str === 'Infinity' || str === 'NaN') {\n      if (!+str) x.s = NaN;\n      x.e = NaN;\n      x.d = null;\n      return x;\n    }\n\n    if (isHex.test(str)) {\n      base = 16;\n      str = str.toLowerCase();\n    } else if (isBinary.test(str)) {\n      base = 2;\n    } else if (isOctal.test(str)) {\n      base = 8;\n    } else {\n      throw Error(invalidArgument + str);\n    } // Is there a binary exponent part?\n\n\n    i = str.search(/p/i);\n\n    if (i > 0) {\n      p = +str.slice(i + 1);\n      str = str.substring(2, i);\n    } else {\n      str = str.slice(2);\n    } // Convert `str` as an integer then divide the result by `base` raised to a power such that the\n    // fraction part will be restored.\n\n\n    i = str.indexOf('.');\n    isFloat = i >= 0;\n    Ctor = x.constructor;\n\n    if (isFloat) {\n      str = str.replace('.', '');\n      len = str.length;\n      i = len - i; // log[10](16) = 1.2041... , log[10](88) = 1.9444....\n\n      divisor = intPow(Ctor, new Ctor(base), i, i * 2);\n    }\n\n    xd = convertBase(str, base, BASE);\n    xe = xd.length - 1; // Remove trailing zeros.\n\n    for (i = xe; xd[i] === 0; --i) {\n      xd.pop();\n    }\n\n    if (i < 0) return new Ctor(x.s * 0);\n    x.e = getBase10Exponent(xd, xe);\n    x.d = xd;\n    external = false; // At what precision to perform the division to ensure exact conversion?\n    // maxDecimalIntegerPartDigitCount = ceil(log[10](b) * otherBaseIntegerPartDigitCount)\n    // log[10](2) = 0.30103, log[10](8) = 0.90309, log[10](16) = 1.20412\n    // E.g. ceil(1.2 * 3) = 4, so up to 4 decimal digits are needed to represent 3 hex int digits.\n    // maxDecimalFractionPartDigitCount = {Hex:4|Oct:3|Bin:1} * otherBaseFractionPartDigitCount\n    // Therefore using 4 * the number of digits of str will always be enough.\n\n    if (isFloat) x = divide(x, divisor, len * 4); // Multiply by the binary exponent part if present.\n\n    if (p) x = x.times(Math.abs(p) < 54 ? Math.pow(2, p) : Decimal.pow(2, p));\n    external = true;\n    return x;\n  }\n  /*\r\n   * sin(x) = x - x^3/3! + x^5/5! - ...\r\n   * |x| < pi/2\r\n   *\r\n   */\n\n\n  function sine(Ctor, x) {\n    var k,\n        len = x.d.length;\n    if (len < 3) return taylorSeries(Ctor, 2, x, x); // Argument reduction: sin(5x) = 16*sin^5(x) - 20*sin^3(x) + 5*sin(x)\n    // i.e. sin(x) = 16*sin^5(x/5) - 20*sin^3(x/5) + 5*sin(x/5)\n    // and  sin(x) = sin(x/5)(5 + sin^2(x/5)(16sin^2(x/5) - 20))\n    // Estimate the optimum number of times to use the argument reduction.\n\n    k = 1.4 * Math.sqrt(len);\n    k = k > 16 ? 16 : k | 0; // Max k before Math.pow precision loss is 22\n\n    x = x.times(Math.pow(5, -k));\n    x = taylorSeries(Ctor, 2, x, x); // Reverse argument reduction\n\n    var sin2_x,\n        d5 = new Ctor(5),\n        d16 = new Ctor(16),\n        d20 = new Ctor(20);\n\n    for (; k--;) {\n      sin2_x = x.times(x);\n      x = x.times(d5.plus(sin2_x.times(d16.times(sin2_x).minus(d20))));\n    }\n\n    return x;\n  } // Calculate Taylor series for `cos`, `cosh`, `sin` and `sinh`.\n\n\n  function taylorSeries(Ctor, n, x, y, isHyperbolic) {\n    var j,\n        t,\n        u,\n        x2,\n        i = 1,\n        pr = Ctor.precision,\n        k = Math.ceil(pr / LOG_BASE);\n    external = false;\n    x2 = x.times(x);\n    u = new Ctor(y);\n\n    for (;;) {\n      t = divide(u.times(x2), new Ctor(n++ * n++), pr, 1);\n      u = isHyperbolic ? y.plus(t) : y.minus(t);\n      y = divide(t.times(x2), new Ctor(n++ * n++), pr, 1);\n      t = u.plus(y);\n\n      if (t.d[k] !== void 0) {\n        for (j = k; t.d[j] === u.d[j] && j--;) {\n          ;\n        }\n\n        if (j == -1) break;\n      }\n\n      j = u;\n      u = y;\n      y = t;\n      t = j;\n      i++;\n    }\n\n    external = true;\n    t.d.length = k + 1;\n    return t;\n  } // Return the absolute value of `x` reduced to less than or equal to half pi.\n\n\n  function toLessThanHalfPi(Ctor, x) {\n    var t,\n        isNeg = x.s < 0,\n        pi = getPi(Ctor, Ctor.precision, 1),\n        halfPi = pi.times(0.5);\n    x = x.abs();\n\n    if (x.lte(halfPi)) {\n      quadrant = isNeg ? 4 : 1;\n      return x;\n    }\n\n    t = x.divToInt(pi);\n\n    if (t.isZero()) {\n      quadrant = isNeg ? 3 : 2;\n    } else {\n      x = x.minus(t.times(pi)); // 0 <= x < pi\n\n      if (x.lte(halfPi)) {\n        quadrant = isOdd(t) ? isNeg ? 2 : 3 : isNeg ? 4 : 1;\n        return x;\n      }\n\n      quadrant = isOdd(t) ? isNeg ? 1 : 4 : isNeg ? 3 : 2;\n    }\n\n    return x.minus(pi).abs();\n  }\n  /*\r\n   * Return the value of Decimal `x` as a string in base `baseOut`.\r\n   *\r\n   * If the optional `sd` argument is present include a binary exponent suffix.\r\n   */\n\n\n  function toStringBinary(x, baseOut, sd, rm) {\n    var base,\n        e,\n        i,\n        k,\n        len,\n        roundUp,\n        str,\n        xd,\n        y,\n        Ctor = x.constructor,\n        isExp = sd !== void 0;\n\n    if (isExp) {\n      checkInt32(sd, 1, MAX_DIGITS);\n      if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n    } else {\n      sd = Ctor.precision;\n      rm = Ctor.rounding;\n    }\n\n    if (!x.isFinite()) {\n      str = nonFiniteToString(x);\n    } else {\n      str = finiteToString(x);\n      i = str.indexOf('.'); // Use exponential notation according to `toExpPos` and `toExpNeg`? No, but if required:\n      // maxBinaryExponent = floor((decimalExponent + 1) * log[2](10))\n      // minBinaryExponent = floor(decimalExponent * log[2](10))\n      // log[2](10) = 3.321928094887362347870319429489390175864\n\n      if (isExp) {\n        base = 2;\n\n        if (baseOut == 16) {\n          sd = sd * 4 - 3;\n        } else if (baseOut == 8) {\n          sd = sd * 3 - 2;\n        }\n      } else {\n        base = baseOut;\n      } // Convert the number as an integer then divide the result by its base raised to a power such\n      // that the fraction part will be restored.\n      // Non-integer.\n\n\n      if (i >= 0) {\n        str = str.replace('.', '');\n        y = new Ctor(1);\n        y.e = str.length - i;\n        y.d = convertBase(finiteToString(y), 10, base);\n        y.e = y.d.length;\n      }\n\n      xd = convertBase(str, 10, base);\n      e = len = xd.length; // Remove trailing zeros.\n\n      for (; xd[--len] == 0;) {\n        xd.pop();\n      }\n\n      if (!xd[0]) {\n        str = isExp ? '0p+0' : '0';\n      } else {\n        if (i < 0) {\n          e--;\n        } else {\n          x = new Ctor(x);\n          x.d = xd;\n          x.e = e;\n          x = divide(x, y, sd, rm, 0, base);\n          xd = x.d;\n          e = x.e;\n          roundUp = inexact;\n        } // The rounding digit, i.e. the digit after the digit that may be rounded up.\n\n\n        i = xd[sd];\n        k = base / 2;\n        roundUp = roundUp || xd[sd + 1] !== void 0;\n        roundUp = rm < 4 ? (i !== void 0 || roundUp) && (rm === 0 || rm === (x.s < 0 ? 3 : 2)) : i > k || i === k && (rm === 4 || roundUp || rm === 6 && xd[sd - 1] & 1 || rm === (x.s < 0 ? 8 : 7));\n        xd.length = sd;\n\n        if (roundUp) {\n          // Rounding up may mean the previous digit has to be rounded up and so on.\n          for (; ++xd[--sd] > base - 1;) {\n            xd[sd] = 0;\n\n            if (!sd) {\n              ++e;\n              xd.unshift(1);\n            }\n          }\n        } // Determine trailing zeros.\n\n\n        for (len = xd.length; !xd[len - 1]; --len) {\n          ;\n        } // E.g. [4, 11, 15] becomes 4bf.\n\n\n        for (i = 0, str = ''; i < len; i++) {\n          str += NUMERALS.charAt(xd[i]);\n        } // Add binary exponent suffix?\n\n\n        if (isExp) {\n          if (len > 1) {\n            if (baseOut == 16 || baseOut == 8) {\n              i = baseOut == 16 ? 4 : 3;\n\n              for (--len; len % i; len++) {\n                str += '0';\n              }\n\n              xd = convertBase(str, base, baseOut);\n\n              for (len = xd.length; !xd[len - 1]; --len) {\n                ;\n              } // xd[0] will always be be 1\n\n\n              for (i = 1, str = '1.'; i < len; i++) {\n                str += NUMERALS.charAt(xd[i]);\n              }\n            } else {\n              str = str.charAt(0) + '.' + str.slice(1);\n            }\n          }\n\n          str = str + (e < 0 ? 'p' : 'p+') + e;\n        } else if (e < 0) {\n          for (; ++e;) {\n            str = '0' + str;\n          }\n\n          str = '0.' + str;\n        } else {\n          if (++e > len) for (e -= len; e--;) {\n            str += '0';\n          } else if (e < len) str = str.slice(0, e) + '.' + str.slice(e);\n        }\n      }\n\n      str = (baseOut == 16 ? '0x' : baseOut == 2 ? '0b' : baseOut == 8 ? '0o' : '') + str;\n    }\n\n    return x.s < 0 ? '-' + str : str;\n  } // Does not strip trailing zeros.\n\n\n  function truncate(arr, len) {\n    if (arr.length > len) {\n      arr.length = len;\n      return true;\n    }\n  } // Decimal methods\n\n  /*\r\n   *  abs\r\n   *  acos\r\n   *  acosh\r\n   *  add\r\n   *  asin\r\n   *  asinh\r\n   *  atan\r\n   *  atanh\r\n   *  atan2\r\n   *  cbrt\r\n   *  ceil\r\n   *  clone\r\n   *  config\r\n   *  cos\r\n   *  cosh\r\n   *  div\r\n   *  exp\r\n   *  floor\r\n   *  hypot\r\n   *  ln\r\n   *  log\r\n   *  log2\r\n   *  log10\r\n   *  max\r\n   *  min\r\n   *  mod\r\n   *  mul\r\n   *  pow\r\n   *  random\r\n   *  round\r\n   *  set\r\n   *  sign\r\n   *  sin\r\n   *  sinh\r\n   *  sqrt\r\n   *  sub\r\n   *  tan\r\n   *  tanh\r\n   *  trunc\r\n   */\n\n  /*\r\n   * Return a new Decimal whose value is the absolute value of `x`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function abs(x) {\n    return new this(x).abs();\n  }\n  /*\r\n   * Return a new Decimal whose value is the arccosine in radians of `x`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function acos(x) {\n    return new this(x).acos();\n  }\n  /*\r\n   * Return a new Decimal whose value is the inverse of the hyperbolic cosine of `x`, rounded to\r\n   * `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} A value in radians.\r\n   *\r\n   */\n\n\n  function acosh(x) {\n    return new this(x).acosh();\n  }\n  /*\r\n   * Return a new Decimal whose value is the sum of `x` and `y`, rounded to `precision` significant\r\n   * digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   * y {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function add(x, y) {\n    return new this(x).plus(y);\n  }\n  /*\r\n   * Return a new Decimal whose value is the arcsine in radians of `x`, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function asin(x) {\n    return new this(x).asin();\n  }\n  /*\r\n   * Return a new Decimal whose value is the inverse of the hyperbolic sine of `x`, rounded to\r\n   * `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} A value in radians.\r\n   *\r\n   */\n\n\n  function asinh(x) {\n    return new this(x).asinh();\n  }\n  /*\r\n   * Return a new Decimal whose value is the arctangent in radians of `x`, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function atan(x) {\n    return new this(x).atan();\n  }\n  /*\r\n   * Return a new Decimal whose value is the inverse of the hyperbolic tangent of `x`, rounded to\r\n   * `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} A value in radians.\r\n   *\r\n   */\n\n\n  function atanh(x) {\n    return new this(x).atanh();\n  }\n  /*\r\n   * Return a new Decimal whose value is the arctangent in radians of `y/x` in the range -pi to pi\r\n   * (inclusive), rounded to `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   * Domain: [-Infinity, Infinity]\r\n   * Range: [-pi, pi]\r\n   *\r\n   * y {number|string|Decimal} The y-coordinate.\r\n   * x {number|string|Decimal} The x-coordinate.\r\n   *\r\n   * atan2(±0, -0)               = ±pi\r\n   * atan2(±0, +0)               = ±0\r\n   * atan2(±0, -x)               = ±pi for x > 0\r\n   * atan2(±0, x)                = ±0 for x > 0\r\n   * atan2(-y, ±0)               = -pi/2 for y > 0\r\n   * atan2(y, ±0)                = pi/2 for y > 0\r\n   * atan2(±y, -Infinity)        = ±pi for finite y > 0\r\n   * atan2(±y, +Infinity)        = ±0 for finite y > 0\r\n   * atan2(±Infinity, x)         = ±pi/2 for finite x\r\n   * atan2(±Infinity, -Infinity) = ±3*pi/4\r\n   * atan2(±Infinity, +Infinity) = ±pi/4\r\n   * atan2(NaN, x) = NaN\r\n   * atan2(y, NaN) = NaN\r\n   *\r\n   */\n\n\n  function atan2(y, x) {\n    y = new this(y);\n    x = new this(x);\n    var r,\n        pr = this.precision,\n        rm = this.rounding,\n        wpr = pr + 4; // Either NaN\n\n    if (!y.s || !x.s) {\n      r = new this(NaN); // Both ±Infinity\n    } else if (!y.d && !x.d) {\n      r = getPi(this, wpr, 1).times(x.s > 0 ? 0.25 : 0.75);\n      r.s = y.s; // x is ±Infinity or y is ±0\n    } else if (!x.d || y.isZero()) {\n      r = x.s < 0 ? getPi(this, pr, rm) : new this(0);\n      r.s = y.s; // y is ±Infinity or x is ±0\n    } else if (!y.d || x.isZero()) {\n      r = getPi(this, wpr, 1).times(0.5);\n      r.s = y.s; // Both non-zero and finite\n    } else if (x.s < 0) {\n      this.precision = wpr;\n      this.rounding = 1;\n      r = this.atan(divide(y, x, wpr, 1));\n      x = getPi(this, wpr, 1);\n      this.precision = pr;\n      this.rounding = rm;\n      r = y.s < 0 ? r.minus(x) : r.plus(x);\n    } else {\n      r = this.atan(divide(y, x, wpr, 1));\n    }\n\n    return r;\n  }\n  /*\r\n   * Return a new Decimal whose value is the cube root of `x`, rounded to `precision` significant\r\n   * digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function cbrt(x) {\n    return new this(x).cbrt();\n  }\n  /*\r\n   * Return a new Decimal whose value is `x` rounded to an integer using `ROUND_CEIL`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function ceil(x) {\n    return finalise(x = new this(x), x.e + 1, 2);\n  }\n  /*\r\n   * Configure global settings for a Decimal constructor.\r\n   *\r\n   * `obj` is an object with one or more of the following properties,\r\n   *\r\n   *   precision  {number}\r\n   *   rounding   {number}\r\n   *   toExpNeg   {number}\r\n   *   toExpPos   {number}\r\n   *   maxE       {number}\r\n   *   minE       {number}\r\n   *   modulo     {number}\r\n   *   crypto     {boolean|number}\r\n   *   defaults   {true}\r\n   *\r\n   * E.g. Decimal.config({ precision: 20, rounding: 4 })\r\n   *\r\n   */\n\n\n  function config(obj) {\n    if (!obj || typeof obj !== 'object') throw Error(decimalError + 'Object expected');\n    var i,\n        p,\n        v,\n        useDefaults = obj.defaults === true,\n        ps = ['precision', 1, MAX_DIGITS, 'rounding', 0, 8, 'toExpNeg', -EXP_LIMIT, 0, 'toExpPos', 0, EXP_LIMIT, 'maxE', 0, EXP_LIMIT, 'minE', -EXP_LIMIT, 0, 'modulo', 0, 9];\n\n    for (i = 0; i < ps.length; i += 3) {\n      if (p = ps[i], useDefaults) this[p] = DEFAULTS[p];\n\n      if ((v = obj[p]) !== void 0) {\n        if (mathfloor(v) === v && v >= ps[i + 1] && v <= ps[i + 2]) this[p] = v;else throw Error(invalidArgument + p + ': ' + v);\n      }\n    }\n\n    if (p = 'crypto', useDefaults) this[p] = DEFAULTS[p];\n\n    if ((v = obj[p]) !== void 0) {\n      if (v === true || v === false || v === 0 || v === 1) {\n        if (v) {\n          if (typeof crypto != 'undefined' && crypto && (crypto.getRandomValues || crypto.randomBytes)) {\n            this[p] = true;\n          } else {\n            throw Error(cryptoUnavailable);\n          }\n        } else {\n          this[p] = false;\n        }\n      } else {\n        throw Error(invalidArgument + p + ': ' + v);\n      }\n    }\n\n    return this;\n  }\n  /*\r\n   * Return a new Decimal whose value is the cosine of `x`, rounded to `precision` significant\r\n   * digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} A value in radians.\r\n   *\r\n   */\n\n\n  function cos(x) {\n    return new this(x).cos();\n  }\n  /*\r\n   * Return a new Decimal whose value is the hyperbolic cosine of `x`, rounded to precision\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} A value in radians.\r\n   *\r\n   */\n\n\n  function cosh(x) {\n    return new this(x).cosh();\n  }\n  /*\r\n   * Create and return a Decimal constructor with the same configuration properties as this Decimal\r\n   * constructor.\r\n   *\r\n   */\n\n\n  function clone(obj) {\n    var i, p, ps;\n    /*\r\n     * The Decimal constructor and exported function.\r\n     * Return a new Decimal instance.\r\n     *\r\n     * v {number|string|Decimal} A numeric value.\r\n     *\r\n     */\n\n    function Decimal(v) {\n      var e,\n          i,\n          t,\n          x = this; // Decimal called without new.\n\n      if (!(x instanceof Decimal)) return new Decimal(v); // Retain a reference to this Decimal constructor, and shadow Decimal.prototype.constructor\n      // which points to Object.\n\n      x.constructor = Decimal; // Duplicate.\n\n      if (v instanceof Decimal) {\n        x.s = v.s;\n        x.e = v.e;\n        x.d = (v = v.d) ? v.slice() : v;\n        return;\n      }\n\n      t = typeof v;\n\n      if (t === 'number') {\n        if (v === 0) {\n          x.s = 1 / v < 0 ? -1 : 1;\n          x.e = 0;\n          x.d = [0];\n          return;\n        }\n\n        if (v < 0) {\n          v = -v;\n          x.s = -1;\n        } else {\n          x.s = 1;\n        } // Fast path for small integers.\n\n\n        if (v === ~~v && v < 1e7) {\n          for (e = 0, i = v; i >= 10; i /= 10) {\n            e++;\n          }\n\n          x.e = e;\n          x.d = [v];\n          return; // Infinity, NaN.\n        } else if (v * 0 !== 0) {\n          if (!v) x.s = NaN;\n          x.e = NaN;\n          x.d = null;\n          return;\n        }\n\n        return parseDecimal(x, v.toString());\n      } else if (t !== 'string') {\n        throw Error(invalidArgument + v);\n      } // Minus sign?\n\n\n      if (v.charCodeAt(0) === 45) {\n        v = v.slice(1);\n        x.s = -1;\n      } else {\n        x.s = 1;\n      }\n\n      return isDecimal.test(v) ? parseDecimal(x, v) : parseOther(x, v);\n    }\n\n    Decimal.prototype = P;\n    Decimal.ROUND_UP = 0;\n    Decimal.ROUND_DOWN = 1;\n    Decimal.ROUND_CEIL = 2;\n    Decimal.ROUND_FLOOR = 3;\n    Decimal.ROUND_HALF_UP = 4;\n    Decimal.ROUND_HALF_DOWN = 5;\n    Decimal.ROUND_HALF_EVEN = 6;\n    Decimal.ROUND_HALF_CEIL = 7;\n    Decimal.ROUND_HALF_FLOOR = 8;\n    Decimal.EUCLID = 9;\n    Decimal.config = Decimal.set = config;\n    Decimal.clone = clone;\n    Decimal.isDecimal = isDecimalInstance;\n    Decimal.abs = abs;\n    Decimal.acos = acos;\n    Decimal.acosh = acosh; // ES6\n\n    Decimal.add = add;\n    Decimal.asin = asin;\n    Decimal.asinh = asinh; // ES6\n\n    Decimal.atan = atan;\n    Decimal.atanh = atanh; // ES6\n\n    Decimal.atan2 = atan2;\n    Decimal.cbrt = cbrt; // ES6\n\n    Decimal.ceil = ceil;\n    Decimal.cos = cos;\n    Decimal.cosh = cosh; // ES6\n\n    Decimal.div = div;\n    Decimal.exp = exp;\n    Decimal.floor = floor;\n    Decimal.hypot = hypot; // ES6\n\n    Decimal.ln = ln;\n    Decimal.log = log;\n    Decimal.log10 = log10; // ES6\n\n    Decimal.log2 = log2; // ES6\n\n    Decimal.max = max;\n    Decimal.min = min;\n    Decimal.mod = mod;\n    Decimal.mul = mul;\n    Decimal.pow = pow;\n    Decimal.random = random;\n    Decimal.round = round;\n    Decimal.sign = sign; // ES6\n\n    Decimal.sin = sin;\n    Decimal.sinh = sinh; // ES6\n\n    Decimal.sqrt = sqrt;\n    Decimal.sub = sub;\n    Decimal.tan = tan;\n    Decimal.tanh = tanh; // ES6\n\n    Decimal.trunc = trunc; // ES6\n\n    if (obj === void 0) obj = {};\n\n    if (obj) {\n      if (obj.defaults !== true) {\n        ps = ['precision', 'rounding', 'toExpNeg', 'toExpPos', 'maxE', 'minE', 'modulo', 'crypto'];\n\n        for (i = 0; i < ps.length;) {\n          if (!obj.hasOwnProperty(p = ps[i++])) obj[p] = this[p];\n        }\n      }\n    }\n\n    Decimal.config(obj);\n    return Decimal;\n  }\n  /*\r\n   * Return a new Decimal whose value is `x` divided by `y`, rounded to `precision` significant\r\n   * digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   * y {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function div(x, y) {\n    return new this(x).div(y);\n  }\n  /*\r\n   * Return a new Decimal whose value is the natural exponential of `x`, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} The power to which to raise the base of the natural log.\r\n   *\r\n   */\n\n\n  function exp(x) {\n    return new this(x).exp();\n  }\n  /*\r\n   * Return a new Decimal whose value is `x` round to an integer using `ROUND_FLOOR`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function floor(x) {\n    return finalise(x = new this(x), x.e + 1, 3);\n  }\n  /*\r\n   * Return a new Decimal whose value is the square root of the sum of the squares of the arguments,\r\n   * rounded to `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   * hypot(a, b, ...) = sqrt(a^2 + b^2 + ...)\r\n   *\r\n   */\n\n\n  function hypot() {\n    var i,\n        n,\n        t = new this(0);\n    external = false;\n\n    for (i = 0; i < arguments.length;) {\n      n = new this(arguments[i++]);\n\n      if (!n.d) {\n        if (n.s) {\n          external = true;\n          return new this(1 / 0);\n        }\n\n        t = n;\n      } else if (t.d) {\n        t = t.plus(n.times(n));\n      }\n    }\n\n    external = true;\n    return t.sqrt();\n  }\n  /*\r\n   * Return true if object is a Decimal instance (where Decimal is any Decimal constructor),\r\n   * otherwise return false.\r\n   *\r\n   */\n\n\n  function isDecimalInstance(obj) {\n    return obj instanceof Decimal || obj && obj.name === '[object Decimal]' || false;\n  }\n  /*\r\n   * Return a new Decimal whose value is the natural logarithm of `x`, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function ln(x) {\n    return new this(x).ln();\n  }\n  /*\r\n   * Return a new Decimal whose value is the log of `x` to the base `y`, or to base 10 if no base\r\n   * is specified, rounded to `precision` significant digits using rounding mode `rounding`.\r\n   *\r\n   * log[y](x)\r\n   *\r\n   * x {number|string|Decimal} The argument of the logarithm.\r\n   * y {number|string|Decimal} The base of the logarithm.\r\n   *\r\n   */\n\n\n  function log(x, y) {\n    return new this(x).log(y);\n  }\n  /*\r\n   * Return a new Decimal whose value is the base 2 logarithm of `x`, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function log2(x) {\n    return new this(x).log(2);\n  }\n  /*\r\n   * Return a new Decimal whose value is the base 10 logarithm of `x`, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function log10(x) {\n    return new this(x).log(10);\n  }\n  /*\r\n   * Return a new Decimal whose value is the maximum of the arguments.\r\n   *\r\n   * arguments {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function max() {\n    return maxOrMin(this, arguments, 'lt');\n  }\n  /*\r\n   * Return a new Decimal whose value is the minimum of the arguments.\r\n   *\r\n   * arguments {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function min() {\n    return maxOrMin(this, arguments, 'gt');\n  }\n  /*\r\n   * Return a new Decimal whose value is `x` modulo `y`, rounded to `precision` significant digits\r\n   * using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   * y {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function mod(x, y) {\n    return new this(x).mod(y);\n  }\n  /*\r\n   * Return a new Decimal whose value is `x` multiplied by `y`, rounded to `precision` significant\r\n   * digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   * y {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function mul(x, y) {\n    return new this(x).mul(y);\n  }\n  /*\r\n   * Return a new Decimal whose value is `x` raised to the power `y`, rounded to precision\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} The base.\r\n   * y {number|string|Decimal} The exponent.\r\n   *\r\n   */\n\n\n  function pow(x, y) {\n    return new this(x).pow(y);\n  }\n  /*\r\n   * Returns a new Decimal with a random value equal to or greater than 0 and less than 1, and with\r\n   * `sd`, or `Decimal.precision` if `sd` is omitted, significant digits (or less if trailing zeros\r\n   * are produced).\r\n   *\r\n   * [sd] {number} Significant digits. Integer, 0 to MAX_DIGITS inclusive.\r\n   *\r\n   */\n\n\n  function random(sd) {\n    var d,\n        e,\n        k,\n        n,\n        i = 0,\n        r = new this(1),\n        rd = [];\n    if (sd === void 0) sd = this.precision;else checkInt32(sd, 1, MAX_DIGITS);\n    k = Math.ceil(sd / LOG_BASE);\n\n    if (!this.crypto) {\n      for (; i < k;) {\n        rd[i++] = Math.random() * 1e7 | 0;\n      } // Browsers supporting crypto.getRandomValues.\n\n    } else if (crypto.getRandomValues) {\n      d = crypto.getRandomValues(new Uint32Array(k));\n\n      for (; i < k;) {\n        n = d[i]; // 0 <= n < 4294967296\n        // Probability n >= 4.29e9, is 4967296 / 4294967296 = 0.00116 (1 in 865).\n\n        if (n >= 4.29e9) {\n          d[i] = crypto.getRandomValues(new Uint32Array(1))[0];\n        } else {\n          // 0 <= n <= 4289999999\n          // 0 <= (n % 1e7) <= 9999999\n          rd[i++] = n % 1e7;\n        }\n      } // Node.js supporting crypto.randomBytes.\n\n    } else if (crypto.randomBytes) {\n      // buffer\n      d = crypto.randomBytes(k *= 4);\n\n      for (; i < k;) {\n        // 0 <= n < 2147483648\n        n = d[i] + (d[i + 1] << 8) + (d[i + 2] << 16) + ((d[i + 3] & 0x7f) << 24); // Probability n >= 2.14e9, is 7483648 / 2147483648 = 0.0035 (1 in 286).\n\n        if (n >= 2.14e9) {\n          crypto.randomBytes(4).copy(d, i);\n        } else {\n          // 0 <= n <= 2139999999\n          // 0 <= (n % 1e7) <= 9999999\n          rd.push(n % 1e7);\n          i += 4;\n        }\n      }\n\n      i = k / 4;\n    } else {\n      throw Error(cryptoUnavailable);\n    }\n\n    k = rd[--i];\n    sd %= LOG_BASE; // Convert trailing digits to zeros according to sd.\n\n    if (k && sd) {\n      n = mathpow(10, LOG_BASE - sd);\n      rd[i] = (k / n | 0) * n;\n    } // Remove trailing words which are zero.\n\n\n    for (; rd[i] === 0; i--) {\n      rd.pop();\n    } // Zero?\n\n\n    if (i < 0) {\n      e = 0;\n      rd = [0];\n    } else {\n      e = -1; // Remove leading words which are zero and adjust exponent accordingly.\n\n      for (; rd[0] === 0; e -= LOG_BASE) {\n        rd.shift();\n      } // Count the digits of the first word of rd to determine leading zeros.\n\n\n      for (k = 1, n = rd[0]; n >= 10; n /= 10) {\n        k++;\n      } // Adjust the exponent for leading zeros of the first word of rd.\n\n\n      if (k < LOG_BASE) e -= LOG_BASE - k;\n    }\n\n    r.e = e;\n    r.d = rd;\n    return r;\n  }\n  /*\r\n   * Return a new Decimal whose value is `x` rounded to an integer using rounding mode `rounding`.\r\n   *\r\n   * To emulate `Math.round`, set rounding to 7 (ROUND_HALF_CEIL).\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function round(x) {\n    return finalise(x = new this(x), x.e + 1, this.rounding);\n  }\n  /*\r\n   * Return\r\n   *   1    if x > 0,\r\n   *  -1    if x < 0,\r\n   *   0    if x is 0,\r\n   *  -0    if x is -0,\r\n   *   NaN  otherwise\r\n   *\r\n   */\n\n\n  function sign(x) {\n    x = new this(x);\n    return x.d ? x.d[0] ? x.s : 0 * x.s : x.s || NaN;\n  }\n  /*\r\n   * Return a new Decimal whose value is the sine of `x`, rounded to `precision` significant digits\r\n   * using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} A value in radians.\r\n   *\r\n   */\n\n\n  function sin(x) {\n    return new this(x).sin();\n  }\n  /*\r\n   * Return a new Decimal whose value is the hyperbolic sine of `x`, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} A value in radians.\r\n   *\r\n   */\n\n\n  function sinh(x) {\n    return new this(x).sinh();\n  }\n  /*\r\n   * Return a new Decimal whose value is the square root of `x`, rounded to `precision` significant\r\n   * digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function sqrt(x) {\n    return new this(x).sqrt();\n  }\n  /*\r\n   * Return a new Decimal whose value is `x` minus `y`, rounded to `precision` significant digits\r\n   * using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal}\r\n   * y {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function sub(x, y) {\n    return new this(x).sub(y);\n  }\n  /*\r\n   * Return a new Decimal whose value is the tangent of `x`, rounded to `precision` significant\r\n   * digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} A value in radians.\r\n   *\r\n   */\n\n\n  function tan(x) {\n    return new this(x).tan();\n  }\n  /*\r\n   * Return a new Decimal whose value is the hyperbolic tangent of `x`, rounded to `precision`\r\n   * significant digits using rounding mode `rounding`.\r\n   *\r\n   * x {number|string|Decimal} A value in radians.\r\n   *\r\n   */\n\n\n  function tanh(x) {\n    return new this(x).tanh();\n  }\n  /*\r\n   * Return a new Decimal whose value is `x` truncated to an integer.\r\n   *\r\n   * x {number|string|Decimal}\r\n   *\r\n   */\n\n\n  function trunc(x) {\n    return finalise(x = new this(x), x.e + 1, 1);\n  } // Create and configure initial Decimal constructor.\n\n\n  Decimal = clone(DEFAULTS);\n  Decimal['default'] = Decimal.Decimal = Decimal; // Create the internal constants from their string values.\n\n  LN10 = new Decimal(LN10);\n  PI = new Decimal(PI); // Export.\n  // AMD.\n\n  if (typeof define == 'function' && define.amd) {\n    define(function () {\n      return Decimal;\n    }); // Node and other environments that support module.exports.\n  } else if (typeof module != 'undefined' && module.exports) {\n    module.exports = Decimal; // Browser.\n  } else {\n    if (!globalScope) {\n      globalScope = typeof self != 'undefined' && self && self.self == self ? self : window;\n    }\n\n    noConflict = globalScope.Decimal;\n\n    Decimal.noConflict = function () {\n      globalScope.Decimal = noConflict;\n      return Decimal;\n    };\n\n    globalScope.Decimal = Decimal;\n  }\n})(this);","'use strict';\n\nvar deepMap = require('./../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create a boolean or convert a string or number to a boolean.\n   * In case of a number, `true` is returned for non-zero numbers, and `false` in\n   * case of zero.\n   * Strings can be `'true'` or `'false'`, or can contain a number.\n   * When value is a matrix, all elements will be converted to boolean.\n   *\n   * Syntax:\n   *\n   *    math.boolean(x)\n   *\n   * Examples:\n   *\n   *    math.boolean(0)     // returns false\n   *    math.boolean(1)     // returns true\n   *    math.boolean(-3)     // returns true\n   *    math.boolean('true')     // returns true\n   *    math.boolean('false')     // returns false\n   *    math.boolean([1, 0, 1, 1])     // returns [true, false, true, true]\n   *\n   * See also:\n   *\n   *    bignumber, complex, index, matrix, string, unit\n   *\n   * @param {string | number | boolean | Array | Matrix | null} value  A value of any type\n   * @return {boolean | Array | Matrix} The boolean value\n   */\n  var bool = typed('bool', {\n    '': function _() {\n      return false;\n    },\n    'boolean': function boolean(x) {\n      return x;\n    },\n    'number': function number(x) {\n      return !!x;\n    },\n    'null': function _null(x) {\n      return false;\n    },\n    'BigNumber': function BigNumber(x) {\n      return !x.isZero();\n    },\n    'string': function string(x) {\n      // try case insensitive\n      var lcase = x.toLowerCase();\n\n      if (lcase === 'true') {\n        return true;\n      } else if (lcase === 'false') {\n        return false;\n      } // test whether value is a valid number\n\n\n      var num = Number(x);\n\n      if (x !== '' && !isNaN(num)) {\n        return !!num;\n      }\n\n      throw new Error('Cannot convert \"' + x + '\" to a boolean');\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, bool);\n    }\n  });\n  return bool;\n}\n\nexports.name = 'boolean';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [// type\nrequire('./Chain'), // construction function\nrequire('./function/chain')];","'use strict';\n\nvar format = require('../../utils/string').format;\n\nvar lazy = require('../../utils/object').lazy;\n\nfunction factory(type, config, load, typed, math) {\n  /**\n   * @constructor Chain\n   * Wrap any value in a chain, allowing to perform chained operations on\n   * the value.\n   *\n   * All methods available in the math.js library can be called upon the chain,\n   * and then will be evaluated with the value itself as first argument.\n   * The chain can be closed by executing chain.done(), which will return\n   * the final value.\n   *\n   * The Chain has a number of special functions:\n   * - done()             Finalize the chained operation and return the\n   *                      chain's value.\n   * - valueOf()          The same as done()\n   * - toString()         Returns a string representation of the chain's value.\n   *\n   * @param {*} [value]\n   */\n  function Chain(value) {\n    if (!(this instanceof Chain)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    if (type.isChain(value)) {\n      this.value = value.value;\n    } else {\n      this.value = value;\n    }\n  }\n  /**\n   * Attach type information\n   */\n\n\n  Chain.prototype.type = 'Chain';\n  Chain.prototype.isChain = true;\n  /**\n   * Close the chain. Returns the final value.\n   * Does the same as method valueOf()\n   * @returns {*} value\n   */\n\n  Chain.prototype.done = function () {\n    return this.value;\n  };\n  /**\n   * Close the chain. Returns the final value.\n   * Does the same as method done()\n   * @returns {*} value\n   */\n\n\n  Chain.prototype.valueOf = function () {\n    return this.value;\n  };\n  /**\n   * Get a string representation of the value in the chain\n   * @returns {string}\n   */\n\n\n  Chain.prototype.toString = function () {\n    return format(this.value);\n  };\n  /**\n   * Get a JSON representation of the chain\n   * @returns {Object}\n   */\n\n\n  Chain.prototype.toJSON = function () {\n    return {\n      mathjs: 'Chain',\n      value: this.value\n    };\n  };\n  /**\n   * Instantiate a Chain from its JSON representation\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"Chain\", value: ...}`,\n   *                       where mathjs is optional\n   * @returns {Chain}\n   */\n\n\n  Chain.fromJSON = function (json) {\n    return new Chain(json.value);\n  };\n  /**\n   * Create a proxy method for the chain\n   * @param {string} name\n   * @param {Function} fn      The function to be proxied\n   *                           If fn is no function, it is silently ignored.\n   * @private\n   */\n\n\n  function createProxy(name, fn) {\n    if (typeof fn === 'function') {\n      Chain.prototype[name] = chainify(fn);\n    }\n  }\n  /**\n   * Create a proxy method for the chain\n   * @param {string} name\n   * @param {function} resolver   The function resolving with the\n   *                              function to be proxied\n   * @private\n   */\n\n\n  function createLazyProxy(name, resolver) {\n    lazy(Chain.prototype, name, function outerResolver() {\n      var fn = resolver();\n\n      if (typeof fn === 'function') {\n        return chainify(fn);\n      }\n\n      return undefined; // if not a function, ignore\n    });\n  }\n  /**\n   * Make a function chainable\n   * @param {function} fn\n   * @return {Function} chain function\n   * @private\n   */\n\n\n  function chainify(fn) {\n    return function () {\n      var args = [this.value]; // `this` will be the context of a Chain instance\n\n      for (var i = 0; i < arguments.length; i++) {\n        args[i + 1] = arguments[i];\n      }\n\n      return new Chain(fn.apply(fn, args));\n    };\n  }\n  /**\n   * Create a proxy for a single method, or an object with multiple methods.\n   * Example usage:\n   *\n   *   Chain.createProxy('add', function add (x, y) {...})\n   *   Chain.createProxy({\n   *     add:      function add (x, y) {...},\n   *     subtract: function subtract (x, y) {...}\n   *   }\n   *\n   * @param {string | Object} arg0   A name (string), or an object with\n   *                                 functions\n   * @param {*} [arg1]               A function, when arg0 is a name\n   */\n\n\n  Chain.createProxy = function (arg0, arg1) {\n    if (typeof arg0 === 'string') {\n      // createProxy(name, value)\n      createProxy(arg0, arg1);\n    } else {\n      // createProxy(values)\n      for (var prop in arg0) {\n        if (arg0.hasOwnProperty(prop)) {\n          createProxy(prop, arg0[prop]);\n        }\n      }\n    }\n  }; // create proxy for everything that is in math.js\n\n\n  Chain.createProxy(math); // register on the import event, automatically add a proxy for every imported function.\n\n  math.on('import', function (name, resolver, path) {\n    if (path === undefined) {\n      // an imported function (not a data type or something special)\n      createLazyProxy(name, resolver);\n    }\n  });\n  return Chain;\n}\n\nexports.name = 'Chain';\nexports.path = 'type';\nexports.factory = factory;\nexports.math = true; // require providing the math namespace as 5th argument\n\nexports.lazy = false; // we need to register a listener on the import events, so no lazy loading","'use strict';\n\nvar objectUtils = require('../object');\n/**\n * Convert a BigNumber to a formatted string representation.\n *\n * Syntax:\n *\n *    format(value)\n *    format(value, options)\n *    format(value, precision)\n *    format(value, fn)\n *\n * Where:\n *\n *    {number} value   The value to be formatted\n *    {Object} options An object with formatting options. Available options:\n *                     {string} notation\n *                         Number notation. Choose from:\n *                         'fixed'          Always use regular number notation.\n *                                          For example '123.40' and '14000000'\n *                         'exponential'    Always use exponential notation.\n *                                          For example '1.234e+2' and '1.4e+7'\n *                         'auto' (default) Regular number notation for numbers\n *                                          having an absolute value between\n *                                          `lower` and `upper` bounds, and uses\n *                                          exponential notation elsewhere.\n *                                          Lower bound is included, upper bound\n *                                          is excluded.\n *                                          For example '123.4' and '1.4e7'.\n *                     {number} precision   A number between 0 and 16 to round\n *                                          the digits of the number.\n *                                          In case of notations 'exponential',\n *                                          'engineering', and 'auto',\n *                                          `precision` defines the total\n *                                          number of significant digits returned.\n *                                          In case of notation 'fixed',\n *                                          `precision` defines the number of\n *                                          significant digits after the decimal\n *                                          point.\n *                                          `precision` is undefined by default.\n *                     {number} lowerExp    Exponent determining the lower boundary\n *                                          for formatting a value with an exponent\n *                                          when `notation='auto`.\n *                                          Default value is `-3`.\n *                     {number} upperExp    Exponent determining the upper boundary\n *                                          for formatting a value with an exponent\n *                                          when `notation='auto`.\n *                                          Default value is `5`.\n *    {Function} fn    A custom formatting function. Can be used to override the\n *                     built-in notations. Function `fn` is called with `value` as\n *                     parameter and must return a string. Is useful for example to\n *                     format all values inside a matrix in a particular way.\n *\n * Examples:\n *\n *    format(6.4)                                        // '6.4'\n *    format(1240000)                                    // '1.24e6'\n *    format(1/3)                                        // '0.3333333333333333'\n *    format(1/3, 3)                                     // '0.333'\n *    format(21385, 2)                                   // '21000'\n *    format(12e8, {notation: 'fixed'})                  // returns '1200000000'\n *    format(2.3,    {notation: 'fixed', precision: 4})  // returns '2.3000'\n *    format(52.8,   {notation: 'exponential'})          // returns '5.28e+1'\n *    format(12400,  {notation: 'engineering'})          // returns '12.400e+3'\n *\n * @param {BigNumber} value\n * @param {Object | Function | number} [options]\n * @return {string} str The formatted value\n */\n\n\nexports.format = function (value, options) {\n  if (typeof options === 'function') {\n    // handle format(value, fn)\n    return options(value);\n  } // handle special cases\n\n\n  if (!value.isFinite()) {\n    return value.isNaN() ? 'NaN' : value.gt(0) ? 'Infinity' : '-Infinity';\n  } // default values for options\n\n\n  var notation = 'auto';\n  var precision;\n\n  if (options !== undefined) {\n    // determine notation from options\n    if (options.notation) {\n      notation = options.notation;\n    } // determine precision from options\n\n\n    if (typeof options === 'number') {\n      precision = options;\n    } else if (options.precision) {\n      precision = options.precision;\n    }\n  } // handle the various notations\n\n\n  switch (notation) {\n    case 'fixed':\n      return exports.toFixed(value, precision);\n\n    case 'exponential':\n      return exports.toExponential(value, precision);\n\n    case 'auto':\n      // TODO: clean up some day. Deprecated since: 2018-01-24\n      // @deprecated upper and lower are replaced with upperExp and lowerExp since v4.0.0\n      if (options && options.exponential && (options.exponential.lower !== undefined || options.exponential.upper !== undefined)) {\n        var fixedOptions = objectUtils.map(options, function (x) {\n          return x;\n        });\n        fixedOptions.exponential = undefined;\n\n        if (options.exponential.lower !== undefined) {\n          fixedOptions.lowerExp = Math.round(Math.log(options.exponential.lower) / Math.LN10);\n        }\n\n        if (options.exponential.upper !== undefined) {\n          fixedOptions.upperExp = Math.round(Math.log(options.exponential.upper) / Math.LN10);\n        }\n\n        console.warn('Deprecation warning: Formatting options exponential.lower and exponential.upper ' + '(minimum and maximum value) ' + 'are replaced with exponential.lowerExp and exponential.upperExp ' + '(minimum and maximum exponent) since version 4.0.0. ' + 'Replace ' + JSON.stringify(options) + ' with ' + JSON.stringify(fixedOptions));\n        return exports.format(value, fixedOptions);\n      } // determine lower and upper bound for exponential notation.\n      // TODO: implement support for upper and lower to be BigNumbers themselves\n\n\n      var lowerExp = options && options.lowerExp !== undefined ? options.lowerExp : -3;\n      var upperExp = options && options.upperExp !== undefined ? options.upperExp : 5; // handle special case zero\n\n      if (value.isZero()) return '0'; // determine whether or not to output exponential notation\n\n      var str;\n      var exp = value.logarithm();\n\n      if (exp.gte(lowerExp) && exp.lt(upperExp)) {\n        // normal number notation\n        str = value.toSignificantDigits(precision).toFixed();\n      } else {\n        // exponential notation\n        str = exports.toExponential(value, precision);\n      } // remove trailing zeros after the decimal point\n\n\n      return str.replace(/((\\.\\d*?)(0+))($|e)/, function () {\n        var digits = arguments[2];\n        var e = arguments[4];\n        return digits !== '.' ? digits + e : e;\n      });\n\n    default:\n      throw new Error('Unknown notation \"' + notation + '\". ' + 'Choose \"auto\", \"exponential\", or \"fixed\".');\n  }\n};\n/**\n * Format a number in exponential notation. Like '1.23e+5', '2.3e+0', '3.500e-3'\n * @param {BigNumber} value\n * @param {number} [precision]  Number of digits in formatted output.\n *                              If not provided, the maximum available digits\n *                              is used.\n * @returns {string} str\n */\n\n\nexports.toExponential = function (value, precision) {\n  if (precision !== undefined) {\n    return value.toExponential(precision - 1); // Note the offset of one\n  } else {\n    return value.toExponential();\n  }\n};\n/**\n * Format a number with fixed notation.\n * @param {BigNumber} value\n * @param {number} [precision=undefined] Optional number of decimals after the\n *                                       decimal point. Undefined by default.\n */\n\n\nexports.toFixed = function (value, precision) {\n  return value.toFixed(precision);\n};","'use strict';\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Wrap any value in a chain, allowing to perform chained operations on\n   * the value.\n   *\n   * All methods available in the math.js library can be called upon the chain,\n   * and then will be evaluated with the value itself as first argument.\n   * The chain can be closed by executing `chain.done()`, which returns\n   * the final value.\n   *\n   * The chain has a number of special functions:\n   *\n   * - `done()`     Finalize the chain and return the chain's value.\n   * - `valueOf()`  The same as `done()`\n   * - `toString()` Executes `math.format()` onto the chain's value, returning\n   *                a string representation of the value.\n   *\n   * Syntax:\n   *\n   *    math.chain(value)\n   *\n   * Examples:\n   *\n   *     math.chain(3)\n   *         .add(4)\n   *         .subtract(2)\n   *         .done()     // 5\n   *\n   *     math.chain( [[1, 2], [3, 4]] )\n   *         .subset(math.index(0, 0), 8)\n   *         .multiply(3)\n   *         .done()     // [[24, 6], [9, 12]]\n   *\n   * @param {*} [value]   A value of any type on which to start a chained operation.\n   * @return {math.type.Chain} The created chain\n   */\n  return typed('chain', {\n    '': function _() {\n      return new type.Chain();\n    },\n    'any': function any(value) {\n      return new type.Chain(value);\n    }\n  });\n}\n\nexports.name = 'chain';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [// type\nrequire('./Complex'), // construction function\nrequire('./function/complex')];","/**\n * @license Complex.js v2.0.11 11/02/2016\n *\n * Copyright (c) 2016, Robert Eisele (robert@xarg.org)\n * Dual licensed under the MIT or GPL Version 2 licenses.\n **/\n\n/**\n *\n * This class allows the manipulation of complex numbers.\n * You can pass a complex number in different formats. Either as object, double, string or two integer parameters.\n *\n * Object form\n * { re: <real>, im: <imaginary> }\n * { arg: <angle>, abs: <radius> }\n * { phi: <angle>, r: <radius> }\n *\n * Array / Vector form\n * [ real, imaginary ]\n *\n * Double form\n * 99.3 - Single double value\n *\n * String form\n * '23.1337' - Simple real number\n * '15+3i' - a simple complex number\n * '3-i' - a simple complex number\n *\n * Example:\n *\n * var c = new Complex('99.3+8i');\n * c.mul({r: 3, i: 9}).div(4.9).sub(3, 2);\n *\n */\n(function (root) {\n  'use strict';\n\n  var _cosh = function cosh(x) {\n    return (Math.exp(x) + Math.exp(-x)) * 0.5;\n  };\n\n  var _sinh = function sinh(x) {\n    return (Math.exp(x) - Math.exp(-x)) * 0.5;\n  };\n  /**\n   * Calculates cos(x) - 1 using Taylor series if x is small.\n   *\n   * @param {number} x\n   * @returns {number} cos(x) - 1\n   */\n\n\n  var cosm1 = function cosm1(x) {\n    var limit = Math.PI / 4;\n\n    if (x < -limit || x > limit) {\n      return Math.cos(x) - 1.0;\n    }\n\n    var xx = x * x;\n    return xx * (-0.5 + xx * (1 / 24 + xx * (-1 / 720 + xx * (1 / 40320 + xx * (-1 / 3628800 + xx * (1 / 4790014600 + xx * (-1 / 87178291200 + xx * (1 / 20922789888000))))))));\n  };\n\n  var hypot = function hypot(x, y) {\n    var a = Math.abs(x);\n    var b = Math.abs(y);\n\n    if (a < 3000 && b < 3000) {\n      return Math.sqrt(a * a + b * b);\n    }\n\n    if (a < b) {\n      a = b;\n      b = x / y;\n    } else {\n      b = y / x;\n    }\n\n    return a * Math.sqrt(1 + b * b);\n  };\n\n  var parser_exit = function parser_exit() {\n    throw SyntaxError('Invalid Param');\n  };\n  /**\n   * Calculates log(sqrt(a^2+b^2)) in a way to avoid overflows\n   *\n   * @param {number} a\n   * @param {number} b\n   * @returns {number}\n   */\n\n\n  function logHypot(a, b) {\n    var _a = Math.abs(a);\n\n    var _b = Math.abs(b);\n\n    if (a === 0) {\n      return Math.log(_b);\n    }\n\n    if (b === 0) {\n      return Math.log(_a);\n    }\n\n    if (_a < 3000 && _b < 3000) {\n      return Math.log(a * a + b * b) * 0.5;\n    }\n    /* I got 4 ideas to compute this property without overflow:\n     *\n     * Testing 1000000 times with random samples for a,b ∈ [1, 1000000000] against a big decimal library to get an error estimate\n     *\n     * 1. Only eliminate the square root: (OVERALL ERROR: 3.9122483030951116e-11)\n      Math.log(a * a + b * b) / 2\n      *\n     *\n     * 2. Try to use the non-overflowing pythagoras: (OVERALL ERROR: 8.889760039210159e-10)\n      var fn = function(a, b) {\n     a = Math.abs(a);\n     b = Math.abs(b);\n     var t = Math.min(a, b);\n     a = Math.max(a, b);\n     t = t / a;\n      return Math.log(a) + Math.log(1 + t * t) / 2;\n     };\n      * 3. Abuse the identity cos(atan(y/x) = x / sqrt(x^2+y^2): (OVERALL ERROR: 3.4780178737037204e-10)\n      Math.log(a / Math.cos(Math.atan2(b, a)))\n      * 4. Use 3. and apply log rules: (OVERALL ERROR: 1.2014087502620896e-9)\n      Math.log(a) - Math.log(Math.cos(Math.atan2(b, a)))\n      */\n\n\n    return Math.log(a / Math.cos(Math.atan2(b, a)));\n  }\n\n  var parse = function parse(a, b) {\n    var z = {\n      're': 0,\n      'im': 0\n    };\n\n    if (a === undefined || a === null) {\n      z['re'] = z['im'] = 0;\n    } else if (b !== undefined) {\n      z['re'] = a;\n      z['im'] = b;\n    } else switch (typeof a) {\n      case 'object':\n        if ('im' in a && 're' in a) {\n          z['re'] = a['re'];\n          z['im'] = a['im'];\n        } else if ('abs' in a && 'arg' in a) {\n          if (!Number.isFinite(a['abs']) && Number.isFinite(a['arg'])) {\n            return Complex['INFINITY'];\n          }\n\n          z['re'] = a['abs'] * Math.cos(a['arg']);\n          z['im'] = a['abs'] * Math.sin(a['arg']);\n        } else if ('r' in a && 'phi' in a) {\n          if (!Number.isFinite(a['r']) && Number.isFinite(a['phi'])) {\n            return Complex['INFINITY'];\n          }\n\n          z['re'] = a['r'] * Math.cos(a['phi']);\n          z['im'] = a['r'] * Math.sin(a['phi']);\n        } else if (a.length === 2) {\n          // Quick array check\n          z['re'] = a[0];\n          z['im'] = a[1];\n        } else {\n          parser_exit();\n        }\n\n        break;\n\n      case 'string':\n        z['im'] =\n        /* void */\n        z['re'] = 0;\n        var tokens = a.match(/\\d+\\.?\\d*e[+-]?\\d+|\\d+\\.?\\d*|\\.\\d+|./g);\n        var plus = 1;\n        var minus = 0;\n\n        if (tokens === null) {\n          parser_exit();\n        }\n\n        for (var i = 0; i < tokens.length; i++) {\n          var c = tokens[i];\n\n          if (c === ' ' || c === '\\t' || c === '\\n') {\n            /* void */\n          } else if (c === '+') {\n            plus++;\n          } else if (c === '-') {\n            minus++;\n          } else if (c === 'i' || c === 'I') {\n            if (plus + minus === 0) {\n              parser_exit();\n            }\n\n            if (tokens[i + 1] !== ' ' && !isNaN(tokens[i + 1])) {\n              z['im'] += parseFloat((minus % 2 ? '-' : '') + tokens[i + 1]);\n              i++;\n            } else {\n              z['im'] += parseFloat((minus % 2 ? '-' : '') + '1');\n            }\n\n            plus = minus = 0;\n          } else {\n            if (plus + minus === 0 || isNaN(c)) {\n              parser_exit();\n            }\n\n            if (tokens[i + 1] === 'i' || tokens[i + 1] === 'I') {\n              z['im'] += parseFloat((minus % 2 ? '-' : '') + c);\n              i++;\n            } else {\n              z['re'] += parseFloat((minus % 2 ? '-' : '') + c);\n            }\n\n            plus = minus = 0;\n          }\n        } // Still something on the stack\n\n\n        if (plus + minus > 0) {\n          parser_exit();\n        }\n\n        break;\n\n      case 'number':\n        z['im'] = 0;\n        z['re'] = a;\n        break;\n\n      default:\n        parser_exit();\n    }\n\n    if (isNaN(z['re']) || isNaN(z['im'])) {// If a calculation is NaN, we treat it as NaN and don't throw\n      //parser_exit();\n    }\n\n    return z;\n  };\n  /**\n   * @constructor\n   * @returns {Complex}\n   */\n\n\n  function Complex(a, b) {\n    if (!(this instanceof Complex)) {\n      return new Complex(a, b);\n    }\n\n    var z = parse(a, b);\n    this['re'] = z['re'];\n    this['im'] = z['im'];\n  }\n\n  Complex.prototype = {\n    're': 0,\n    'im': 0,\n\n    /**\n     * Calculates the sign of a complex number, which is a normalized complex\n     *\n     * @returns {Complex}\n     */\n    'sign': function sign() {\n      var abs = this['abs']();\n      return new Complex(this['re'] / abs, this['im'] / abs);\n    },\n\n    /**\n     * Adds two complex numbers\n     *\n     * @returns {Complex}\n     */\n    'add': function add(a, b) {\n      var z = new Complex(a, b); // Infinity + Infinity = NaN\n\n      if (this['isInfinite']() && z['isInfinite']()) {\n        return Complex['NAN'];\n      } // Infinity + z = Infinity { where z != Infinity }\n\n\n      if (this['isInfinite']() || z['isInfinite']()) {\n        return Complex['INFINITY'];\n      }\n\n      return new Complex(this['re'] + z['re'], this['im'] + z['im']);\n    },\n\n    /**\n     * Subtracts two complex numbers\n     *\n     * @returns {Complex}\n     */\n    'sub': function sub(a, b) {\n      var z = new Complex(a, b); // Infinity - Infinity = NaN\n\n      if (this['isInfinite']() && z['isInfinite']()) {\n        return Complex['NAN'];\n      } // Infinity - z = Infinity { where z != Infinity }\n\n\n      if (this['isInfinite']() || z['isInfinite']()) {\n        return Complex['INFINITY'];\n      }\n\n      return new Complex(this['re'] - z['re'], this['im'] - z['im']);\n    },\n\n    /**\n     * Multiplies two complex numbers\n     *\n     * @returns {Complex}\n     */\n    'mul': function mul(a, b) {\n      var z = new Complex(a, b); // Infinity * 0 = NaN\n\n      if (this['isInfinite']() && z['isZero']() || this['isZero']() && z['isInfinite']()) {\n        return Complex['NAN'];\n      } // Infinity * z = Infinity { where z != 0 }\n\n\n      if (this['isInfinite']() || z['isInfinite']()) {\n        return Complex['INFINITY'];\n      } // Short circuit for real values\n\n\n      if (z['im'] === 0 && this['im'] === 0) {\n        return new Complex(this['re'] * z['re'], 0);\n      }\n\n      return new Complex(this['re'] * z['re'] - this['im'] * z['im'], this['re'] * z['im'] + this['im'] * z['re']);\n    },\n\n    /**\n     * Divides two complex numbers\n     *\n     * @returns {Complex}\n     */\n    'div': function div(a, b) {\n      var z = new Complex(a, b); // 0 / 0 = NaN and Infinity / Infinity = NaN\n\n      if (this['isZero']() && z['isZero']() || this['isInfinite']() && z['isInfinite']()) {\n        return Complex['NAN'];\n      } // Infinity / 0 = Infinity\n\n\n      if (this['isInfinite']() || z['isZero']()) {\n        return Complex['INFINITY'];\n      } // 0 / Infinity = 0\n\n\n      if (this['isZero']() || z['isInfinite']()) {\n        return Complex['ZERO'];\n      }\n\n      a = this['re'];\n      b = this['im'];\n      var c = z['re'];\n      var d = z['im'];\n      var t, x;\n\n      if (0 === d) {\n        // Divisor is real\n        return new Complex(a / c, b / c);\n      }\n\n      if (Math.abs(c) < Math.abs(d)) {\n        x = c / d;\n        t = c * x + d;\n        return new Complex((a * x + b) / t, (b * x - a) / t);\n      } else {\n        x = d / c;\n        t = d * x + c;\n        return new Complex((a + b * x) / t, (b - a * x) / t);\n      }\n    },\n\n    /**\n     * Calculate the power of two complex numbers\n     *\n     * @returns {Complex}\n     */\n    'pow': function pow(a, b) {\n      var z = new Complex(a, b);\n      a = this['re'];\n      b = this['im'];\n\n      if (z['isZero']()) {\n        return Complex['ONE'];\n      } // If the exponent is real\n\n\n      if (z['im'] === 0) {\n        if (b === 0 && a >= 0) {\n          return new Complex(Math.pow(a, z['re']), 0);\n        } else if (a === 0) {\n          // If base is fully imaginary\n          switch ((z['re'] % 4 + 4) % 4) {\n            case 0:\n              return new Complex(Math.pow(b, z['re']), 0);\n\n            case 1:\n              return new Complex(0, Math.pow(b, z['re']));\n\n            case 2:\n              return new Complex(-Math.pow(b, z['re']), 0);\n\n            case 3:\n              return new Complex(0, -Math.pow(b, z['re']));\n          }\n        }\n      }\n      /* I couldn't find a good formula, so here is a derivation and optimization\n       *\n       * z_1^z_2 = (a + bi)^(c + di)\n       *         = exp((c + di) * log(a + bi)\n       *         = pow(a^2 + b^2, (c + di) / 2) * exp(i(c + di)atan2(b, a))\n       * =>...\n       * Re = (pow(a^2 + b^2, c / 2) * exp(-d * atan2(b, a))) * cos(d * log(a^2 + b^2) / 2 + c * atan2(b, a))\n       * Im = (pow(a^2 + b^2, c / 2) * exp(-d * atan2(b, a))) * sin(d * log(a^2 + b^2) / 2 + c * atan2(b, a))\n       *\n       * =>...\n       * Re = exp(c * log(sqrt(a^2 + b^2)) - d * atan2(b, a)) * cos(d * log(sqrt(a^2 + b^2)) + c * atan2(b, a))\n       * Im = exp(c * log(sqrt(a^2 + b^2)) - d * atan2(b, a)) * sin(d * log(sqrt(a^2 + b^2)) + c * atan2(b, a))\n       *\n       * =>\n       * Re = exp(c * logsq2 - d * arg(z_1)) * cos(d * logsq2 + c * arg(z_1))\n       * Im = exp(c * logsq2 - d * arg(z_1)) * sin(d * logsq2 + c * arg(z_1))\n       *\n       */\n\n\n      if (a === 0 && b === 0 && z['re'] > 0 && z['im'] >= 0) {\n        return Complex['ZERO'];\n      }\n\n      var arg = Math.atan2(b, a);\n      var loh = logHypot(a, b);\n      a = Math.exp(z['re'] * loh - z['im'] * arg);\n      b = z['im'] * loh + z['re'] * arg;\n      return new Complex(a * Math.cos(b), a * Math.sin(b));\n    },\n\n    /**\n     * Calculate the complex square root\n     *\n     * @returns {Complex}\n     */\n    'sqrt': function sqrt() {\n      var a = this['re'];\n      var b = this['im'];\n      var r = this['abs']();\n      var re, im;\n\n      if (a >= 0) {\n        if (b === 0) {\n          return new Complex(Math.sqrt(a), 0);\n        }\n\n        re = 0.5 * Math.sqrt(2.0 * (r + a));\n      } else {\n        re = Math.abs(b) / Math.sqrt(2 * (r - a));\n      }\n\n      if (a <= 0) {\n        im = 0.5 * Math.sqrt(2.0 * (r - a));\n      } else {\n        im = Math.abs(b) / Math.sqrt(2 * (r + a));\n      }\n\n      return new Complex(re, b < 0 ? -im : im);\n    },\n\n    /**\n     * Calculate the complex exponent\n     *\n     * @returns {Complex}\n     */\n    'exp': function exp() {\n      var tmp = Math.exp(this['re']);\n\n      if (this['im'] === 0) {//return new Complex(tmp, 0);\n      }\n\n      return new Complex(tmp * Math.cos(this['im']), tmp * Math.sin(this['im']));\n    },\n\n    /**\n     * Calculate the complex exponent and subtracts one.\n     *\n     * This may be more accurate than `Complex(x).exp().sub(1)` if\n     * `x` is small.\n     *\n     * @returns {Complex}\n     */\n    'expm1': function expm1() {\n      /**\n       * exp(a + i*b) - 1\n       = exp(a) * (cos(b) + j*sin(b)) - 1\n       = expm1(a)*cos(b) + cosm1(b) + j*exp(a)*sin(b)\n       */\n      var a = this['re'];\n      var b = this['im'];\n      return new Complex(Math.expm1(a) * Math.cos(b) + cosm1(b), Math.exp(a) * Math.sin(b));\n    },\n\n    /**\n     * Calculate the natural log\n     *\n     * @returns {Complex}\n     */\n    'log': function log() {\n      var a = this['re'];\n      var b = this['im'];\n\n      if (b === 0 && a > 0) {//return new Complex(Math.log(a), 0);\n      }\n\n      return new Complex(logHypot(a, b), Math.atan2(b, a));\n    },\n\n    /**\n     * Calculate the magnitude of the complex number\n     *\n     * @returns {number}\n     */\n    'abs': function abs() {\n      return hypot(this['re'], this['im']);\n    },\n\n    /**\n     * Calculate the angle of the complex number\n     *\n     * @returns {number}\n     */\n    'arg': function arg() {\n      return Math.atan2(this['im'], this['re']);\n    },\n\n    /**\n     * Calculate the sine of the complex number\n     *\n     * @returns {Complex}\n     */\n    'sin': function sin() {\n      // sin(c) = (e^b - e^(-b)) / (2i)\n      var a = this['re'];\n      var b = this['im'];\n      return new Complex(Math.sin(a) * _cosh(b), Math.cos(a) * _sinh(b));\n    },\n\n    /**\n     * Calculate the cosine\n     *\n     * @returns {Complex}\n     */\n    'cos': function cos() {\n      // cos(z) = (e^b + e^(-b)) / 2\n      var a = this['re'];\n      var b = this['im'];\n      return new Complex(Math.cos(a) * _cosh(b), -Math.sin(a) * _sinh(b));\n    },\n\n    /**\n     * Calculate the tangent\n     *\n     * @returns {Complex}\n     */\n    'tan': function tan() {\n      // tan(c) = (e^(ci) - e^(-ci)) / (i(e^(ci) + e^(-ci)))\n      var a = 2 * this['re'];\n      var b = 2 * this['im'];\n\n      var d = Math.cos(a) + _cosh(b);\n\n      return new Complex(Math.sin(a) / d, _sinh(b) / d);\n    },\n\n    /**\n     * Calculate the cotangent\n     *\n     * @returns {Complex}\n     */\n    'cot': function cot() {\n      // cot(c) = i(e^(ci) + e^(-ci)) / (e^(ci) - e^(-ci))\n      var a = 2 * this['re'];\n      var b = 2 * this['im'];\n\n      var d = Math.cos(a) - _cosh(b);\n\n      return new Complex(-Math.sin(a) / d, _sinh(b) / d);\n    },\n\n    /**\n     * Calculate the secant\n     *\n     * @returns {Complex}\n     */\n    'sec': function sec() {\n      // sec(c) = 2 / (e^(ci) + e^(-ci))\n      var a = this['re'];\n      var b = this['im'];\n      var d = 0.5 * _cosh(2 * b) + 0.5 * Math.cos(2 * a);\n      return new Complex(Math.cos(a) * _cosh(b) / d, Math.sin(a) * _sinh(b) / d);\n    },\n\n    /**\n     * Calculate the cosecans\n     *\n     * @returns {Complex}\n     */\n    'csc': function csc() {\n      // csc(c) = 2i / (e^(ci) - e^(-ci))\n      var a = this['re'];\n      var b = this['im'];\n      var d = 0.5 * _cosh(2 * b) - 0.5 * Math.cos(2 * a);\n      return new Complex(Math.sin(a) * _cosh(b) / d, -Math.cos(a) * _sinh(b) / d);\n    },\n\n    /**\n     * Calculate the complex arcus sinus\n     *\n     * @returns {Complex}\n     */\n    'asin': function asin() {\n      // asin(c) = -i * log(ci + sqrt(1 - c^2))\n      var a = this['re'];\n      var b = this['im'];\n      var t1 = new Complex(b * b - a * a + 1, -2 * a * b)['sqrt']();\n      var t2 = new Complex(t1['re'] - b, t1['im'] + a)['log']();\n      return new Complex(t2['im'], -t2['re']);\n    },\n\n    /**\n     * Calculate the complex arcus cosinus\n     *\n     * @returns {Complex}\n     */\n    'acos': function acos() {\n      // acos(c) = i * log(c - i * sqrt(1 - c^2))\n      var a = this['re'];\n      var b = this['im'];\n      var t1 = new Complex(b * b - a * a + 1, -2 * a * b)['sqrt']();\n      var t2 = new Complex(t1['re'] - b, t1['im'] + a)['log']();\n      return new Complex(Math.PI / 2 - t2['im'], t2['re']);\n    },\n\n    /**\n     * Calculate the complex arcus tangent\n     *\n     * @returns {Complex}\n     */\n    'atan': function atan() {\n      // atan(c) = i / 2 log((i + x) / (i - x))\n      var a = this['re'];\n      var b = this['im'];\n\n      if (a === 0) {\n        if (b === 1) {\n          return new Complex(0, Infinity);\n        }\n\n        if (b === -1) {\n          return new Complex(0, -Infinity);\n        }\n      }\n\n      var d = a * a + (1.0 - b) * (1.0 - b);\n      var t1 = new Complex((1 - b * b - a * a) / d, -2 * a / d).log();\n      return new Complex(-0.5 * t1['im'], 0.5 * t1['re']);\n    },\n\n    /**\n     * Calculate the complex arcus cotangent\n     *\n     * @returns {Complex}\n     */\n    'acot': function acot() {\n      // acot(c) = i / 2 log((c - i) / (c + i))\n      var a = this['re'];\n      var b = this['im'];\n\n      if (b === 0) {\n        return new Complex(Math.atan2(1, a), 0);\n      }\n\n      var d = a * a + b * b;\n      return d !== 0 ? new Complex(a / d, -b / d).atan() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).atan();\n    },\n\n    /**\n     * Calculate the complex arcus secant\n     *\n     * @returns {Complex}\n     */\n    'asec': function asec() {\n      // asec(c) = -i * log(1 / c + sqrt(1 - i / c^2))\n      var a = this['re'];\n      var b = this['im'];\n\n      if (a === 0 && b === 0) {\n        return new Complex(0, Infinity);\n      }\n\n      var d = a * a + b * b;\n      return d !== 0 ? new Complex(a / d, -b / d).acos() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).acos();\n    },\n\n    /**\n     * Calculate the complex arcus cosecans\n     *\n     * @returns {Complex}\n     */\n    'acsc': function acsc() {\n      // acsc(c) = -i * log(i / c + sqrt(1 - 1 / c^2))\n      var a = this['re'];\n      var b = this['im'];\n\n      if (a === 0 && b === 0) {\n        return new Complex(Math.PI / 2, Infinity);\n      }\n\n      var d = a * a + b * b;\n      return d !== 0 ? new Complex(a / d, -b / d).asin() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).asin();\n    },\n\n    /**\n     * Calculate the complex sinh\n     *\n     * @returns {Complex}\n     */\n    'sinh': function sinh() {\n      // sinh(c) = (e^c - e^-c) / 2\n      var a = this['re'];\n      var b = this['im'];\n      return new Complex(_sinh(a) * Math.cos(b), _cosh(a) * Math.sin(b));\n    },\n\n    /**\n     * Calculate the complex cosh\n     *\n     * @returns {Complex}\n     */\n    'cosh': function cosh() {\n      // cosh(c) = (e^c + e^-c) / 2\n      var a = this['re'];\n      var b = this['im'];\n      return new Complex(_cosh(a) * Math.cos(b), _sinh(a) * Math.sin(b));\n    },\n\n    /**\n     * Calculate the complex tanh\n     *\n     * @returns {Complex}\n     */\n    'tanh': function tanh() {\n      // tanh(c) = (e^c - e^-c) / (e^c + e^-c)\n      var a = 2 * this['re'];\n      var b = 2 * this['im'];\n      var d = _cosh(a) + Math.cos(b);\n      return new Complex(_sinh(a) / d, Math.sin(b) / d);\n    },\n\n    /**\n     * Calculate the complex coth\n     *\n     * @returns {Complex}\n     */\n    'coth': function coth() {\n      // coth(c) = (e^c + e^-c) / (e^c - e^-c)\n      var a = 2 * this['re'];\n      var b = 2 * this['im'];\n      var d = _cosh(a) - Math.cos(b);\n      return new Complex(_sinh(a) / d, -Math.sin(b) / d);\n    },\n\n    /**\n     * Calculate the complex coth\n     *\n     * @returns {Complex}\n     */\n    'csch': function csch() {\n      // csch(c) = 2 / (e^c - e^-c)\n      var a = this['re'];\n      var b = this['im'];\n\n      var d = Math.cos(2 * b) - _cosh(2 * a);\n\n      return new Complex(-2 * _sinh(a) * Math.cos(b) / d, 2 * _cosh(a) * Math.sin(b) / d);\n    },\n\n    /**\n     * Calculate the complex sech\n     *\n     * @returns {Complex}\n     */\n    'sech': function sech() {\n      // sech(c) = 2 / (e^c + e^-c)\n      var a = this['re'];\n      var b = this['im'];\n\n      var d = Math.cos(2 * b) + _cosh(2 * a);\n\n      return new Complex(2 * _cosh(a) * Math.cos(b) / d, -2 * _sinh(a) * Math.sin(b) / d);\n    },\n\n    /**\n     * Calculate the complex asinh\n     *\n     * @returns {Complex}\n     */\n    'asinh': function asinh() {\n      // asinh(c) = log(c + sqrt(c^2 + 1))\n      var tmp = this['im'];\n      this['im'] = -this['re'];\n      this['re'] = tmp;\n      var res = this['asin']();\n      this['re'] = -this['im'];\n      this['im'] = tmp;\n      tmp = res['re'];\n      res['re'] = -res['im'];\n      res['im'] = tmp;\n      return res;\n    },\n\n    /**\n     * Calculate the complex asinh\n     *\n     * @returns {Complex}\n     */\n    'acosh': function acosh() {\n      // acosh(c) = log(c + sqrt(c^2 - 1))\n      var res = this['acos']();\n\n      if (res['im'] <= 0) {\n        var tmp = res['re'];\n        res['re'] = -res['im'];\n        res['im'] = tmp;\n      } else {\n        var tmp = res['im'];\n        res['im'] = -res['re'];\n        res['re'] = tmp;\n      }\n\n      return res;\n    },\n\n    /**\n     * Calculate the complex atanh\n     *\n     * @returns {Complex}\n     */\n    'atanh': function atanh() {\n      // atanh(c) = log((1+c) / (1-c)) / 2\n      var a = this['re'];\n      var b = this['im'];\n      var noIM = a > 1 && b === 0;\n      var oneMinus = 1 - a;\n      var onePlus = 1 + a;\n      var d = oneMinus * oneMinus + b * b;\n      var x = d !== 0 ? new Complex((onePlus * oneMinus - b * b) / d, (b * oneMinus + onePlus * b) / d) : new Complex(a !== -1 ? a / 0 : 0, b !== 0 ? b / 0 : 0);\n      var temp = x['re'];\n      x['re'] = logHypot(x['re'], x['im']) / 2;\n      x['im'] = Math.atan2(x['im'], temp) / 2;\n\n      if (noIM) {\n        x['im'] = -x['im'];\n      }\n\n      return x;\n    },\n\n    /**\n     * Calculate the complex acoth\n     *\n     * @returns {Complex}\n     */\n    'acoth': function acoth() {\n      // acoth(c) = log((c+1) / (c-1)) / 2\n      var a = this['re'];\n      var b = this['im'];\n\n      if (a === 0 && b === 0) {\n        return new Complex(0, Math.PI / 2);\n      }\n\n      var d = a * a + b * b;\n      return d !== 0 ? new Complex(a / d, -b / d).atanh() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).atanh();\n    },\n\n    /**\n     * Calculate the complex acsch\n     *\n     * @returns {Complex}\n     */\n    'acsch': function acsch() {\n      // acsch(c) = log((1+sqrt(1+c^2))/c)\n      var a = this['re'];\n      var b = this['im'];\n\n      if (b === 0) {\n        return new Complex(a !== 0 ? Math.log(a + Math.sqrt(a * a + 1)) : Infinity, 0);\n      }\n\n      var d = a * a + b * b;\n      return d !== 0 ? new Complex(a / d, -b / d).asinh() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).asinh();\n    },\n\n    /**\n     * Calculate the complex asech\n     *\n     * @returns {Complex}\n     */\n    'asech': function asech() {\n      // asech(c) = log((1+sqrt(1-c^2))/c)\n      var a = this['re'];\n      var b = this['im'];\n\n      if (this['isZero']()) {\n        return Complex['INFINITY'];\n      }\n\n      var d = a * a + b * b;\n      return d !== 0 ? new Complex(a / d, -b / d).acosh() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).acosh();\n    },\n\n    /**\n     * Calculate the complex inverse 1/z\n     *\n     * @returns {Complex}\n     */\n    'inverse': function inverse() {\n      // 1 / 0 = Infinity and 1 / Infinity = 0\n      if (this['isZero']()) {\n        return Complex['INFINITY'];\n      }\n\n      if (this['isInfinite']()) {\n        return Complex['ZERO'];\n      }\n\n      var a = this['re'];\n      var b = this['im'];\n      var d = a * a + b * b;\n      return new Complex(a / d, -b / d);\n    },\n\n    /**\n     * Returns the complex conjugate\n     *\n     * @returns {Complex}\n     */\n    'conjugate': function conjugate() {\n      return new Complex(this['re'], -this['im']);\n    },\n\n    /**\n     * Gets the negated complex number\n     *\n     * @returns {Complex}\n     */\n    'neg': function neg() {\n      return new Complex(-this['re'], -this['im']);\n    },\n\n    /**\n     * Ceils the actual complex number\n     *\n     * @returns {Complex}\n     */\n    'ceil': function ceil(places) {\n      places = Math.pow(10, places || 0);\n      return new Complex(Math.ceil(this['re'] * places) / places, Math.ceil(this['im'] * places) / places);\n    },\n\n    /**\n     * Floors the actual complex number\n     *\n     * @returns {Complex}\n     */\n    'floor': function floor(places) {\n      places = Math.pow(10, places || 0);\n      return new Complex(Math.floor(this['re'] * places) / places, Math.floor(this['im'] * places) / places);\n    },\n\n    /**\n     * Ceils the actual complex number\n     *\n     * @returns {Complex}\n     */\n    'round': function round(places) {\n      places = Math.pow(10, places || 0);\n      return new Complex(Math.round(this['re'] * places) / places, Math.round(this['im'] * places) / places);\n    },\n\n    /**\n     * Compares two complex numbers\n     *\n     * **Note:** new Complex(Infinity).equals(Infinity) === false\n     *\n     * @returns {boolean}\n     */\n    'equals': function equals(a, b) {\n      var z = new Complex(a, b);\n      return Math.abs(z['re'] - this['re']) <= Complex['EPSILON'] && Math.abs(z['im'] - this['im']) <= Complex['EPSILON'];\n    },\n\n    /**\n     * Clones the actual object\n     *\n     * @returns {Complex}\n     */\n    'clone': function clone() {\n      return new Complex(this['re'], this['im']);\n    },\n\n    /**\n     * Gets a string of the actual complex number\n     *\n     * @returns {string}\n     */\n    'toString': function toString() {\n      var a = this['re'];\n      var b = this['im'];\n      var ret = '';\n\n      if (this['isNaN']()) {\n        return 'NaN';\n      }\n\n      if (this['isZero']()) {\n        return '0';\n      }\n\n      if (this['isInfinite']()) {\n        return 'Infinity';\n      }\n\n      if (a !== 0) {\n        ret += a;\n      }\n\n      if (b !== 0) {\n        if (a !== 0) {\n          ret += b < 0 ? ' - ' : ' + ';\n        } else if (b < 0) {\n          ret += '-';\n        }\n\n        b = Math.abs(b);\n\n        if (1 !== b) {\n          ret += b;\n        }\n\n        ret += 'i';\n      }\n\n      if (!ret) return '0';\n      return ret;\n    },\n\n    /**\n     * Returns the actual number as a vector\n     *\n     * @returns {Array}\n     */\n    'toVector': function toVector() {\n      return [this['re'], this['im']];\n    },\n\n    /**\n     * Returns the actual real value of the current object\n     *\n     * @returns {number|null}\n     */\n    'valueOf': function valueOf() {\n      if (this['im'] === 0) {\n        return this['re'];\n      }\n\n      return null;\n    },\n\n    /**\n     * Determines whether a complex number is not on the Riemann sphere.\n     *\n     * @returns {boolean}\n     */\n    'isNaN': function (_isNaN) {\n      function isNaN() {\n        return _isNaN.apply(this, arguments);\n      }\n\n      isNaN.toString = function () {\n        return _isNaN.toString();\n      };\n\n      return isNaN;\n    }(function () {\n      return isNaN(this['re']) || isNaN(this['im']);\n    }),\n\n    /**\n     * Determines whether or not a complex number is at the zero pole of the\n     * Riemann sphere.\n     *\n     * @returns {boolean}\n     */\n    'isZero': function isZero() {\n      return (this['re'] === 0 || this['re'] === -0) && (this['im'] === 0 || this['im'] === -0);\n    },\n\n    /**\n     * Determines whether a complex number is not at the infinity pole of the\n     * Riemann sphere.\n     *\n     * @returns {boolean}\n     */\n    'isFinite': function (_isFinite) {\n      function isFinite() {\n        return _isFinite.apply(this, arguments);\n      }\n\n      isFinite.toString = function () {\n        return _isFinite.toString();\n      };\n\n      return isFinite;\n    }(function () {\n      return isFinite(this['re']) && isFinite(this['im']);\n    }),\n\n    /**\n     * Determines whether or not a complex number is at the infinity pole of the\n     * Riemann sphere.\n     *\n     * @returns {boolean}\n     */\n    'isInfinite': function isInfinite() {\n      return !(this['isNaN']() || this['isFinite']());\n    }\n  };\n  Complex['ZERO'] = new Complex(0, 0);\n  Complex['ONE'] = new Complex(1, 0);\n  Complex['I'] = new Complex(0, 1);\n  Complex['PI'] = new Complex(Math.PI, 0);\n  Complex['E'] = new Complex(Math.E, 0);\n  Complex['INFINITY'] = new Complex(Infinity, Infinity);\n  Complex['NAN'] = new Complex(NaN, NaN);\n  Complex['EPSILON'] = 1e-16;\n\n  if (typeof define === 'function' && define['amd']) {\n    define([], function () {\n      return Complex;\n    });\n  } else if (typeof exports === 'object') {\n    Object.defineProperty(exports, \"__esModule\", {\n      'value': true\n    });\n    Complex['default'] = Complex;\n    Complex['Complex'] = Complex;\n    module['exports'] = Complex;\n  } else {\n    root['Complex'] = Complex;\n  }\n})(this);","'use strict';\n\nvar deepMap = require('../../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../../utils/latex');\n  /**\n   * Create a complex value or convert a value to a complex value.\n   *\n   * Syntax:\n   *\n   *     math.complex()                           // creates a complex value with zero\n   *                                              // as real and imaginary part.\n   *     math.complex(re : number, im : string)   // creates a complex value with provided\n   *                                              // values for real and imaginary part.\n   *     math.complex(re : number)                // creates a complex value with provided\n   *                                              // real value and zero imaginary part.\n   *     math.complex(complex : Complex)          // clones the provided complex value.\n   *     math.complex(arg : string)               // parses a string into a complex value.\n   *     math.complex(array : Array)              // converts the elements of the array\n   *                                              // or matrix element wise into a\n   *                                              // complex value.\n   *     math.complex({re: number, im: number})   // creates a complex value with provided\n   *                                              // values for real an imaginary part.\n   *     math.complex({r: number, phi: number})   // creates a complex value with provided\n   *                                              // polar coordinates\n   *\n   * Examples:\n   *\n   *    const a = math.complex(3, -4)     // a = Complex 3 - 4i\n   *    a.re = 5                          // a = Complex 5 - 4i\n   *    const i = a.im                    // Number -4\n   *    const b = math.complex('2 + 6i')  // Complex 2 + 6i\n   *    const c = math.complex()          // Complex 0 + 0i\n   *    const d = math.add(a, b)          // Complex 5 + 2i\n   *\n   * See also:\n   *\n   *    bignumber, boolean, index, matrix, number, string, unit\n   *\n   * @param {* | Array | Matrix} [args]\n   *            Arguments specifying the real and imaginary part of the complex number\n   * @return {Complex | Array | Matrix} Returns a complex value\n   */\n\n\n  var complex = typed('complex', {\n    '': function _() {\n      return type.Complex.ZERO;\n    },\n    'number': function number(x) {\n      return new type.Complex(x, 0);\n    },\n    'number, number': function numberNumber(re, im) {\n      return new type.Complex(re, im);\n    },\n    // TODO: this signature should be redundant\n    'BigNumber, BigNumber': function BigNumberBigNumber(re, im) {\n      return new type.Complex(re.toNumber(), im.toNumber());\n    },\n    'Complex': function Complex(x) {\n      return x.clone();\n    },\n    'string': function string(x) {\n      return type.Complex(x); // for example '2 + 3i'\n    },\n    'null': function _null(x) {\n      return type.Complex(0);\n    },\n    'Object': function Object(x) {\n      if ('re' in x && 'im' in x) {\n        return new type.Complex(x.re, x.im);\n      }\n\n      if ('r' in x && 'phi' in x || 'abs' in x && 'arg' in x) {\n        return new type.Complex(x);\n      }\n\n      throw new Error('Expected object with properties (re and im) or (r and phi) or (abs and arg)');\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, complex);\n    }\n  });\n  complex.toTex = {\n    0: '0',\n    1: \"\\\\left(${args[0]}\\\\right)\",\n    2: \"\\\\left(\\\\left(${args[0]}\\\\right)+\".concat(latex.symbols['i'], \"\\\\cdot\\\\left(${args[1]}\\\\right)\\\\right)\")\n  };\n  return complex;\n}\n\nexports.name = 'complex';\nexports.factory = factory;","\"use strict\"; // Map the characters to escape to their escaped values. The list is derived\n// from http://www.cespedes.org/blog/85/how-to-escape-latex-special-characters\n\nvar _extends = Object.assign || function (target) {\n  for (var i = 1; i < arguments.length; i++) {\n    var source = arguments[i];\n\n    for (var key in source) {\n      if (Object.prototype.hasOwnProperty.call(source, key)) {\n        target[key] = source[key];\n      }\n    }\n  }\n\n  return target;\n};\n\nvar defaultEscapes = {\n  \"{\": \"\\\\{\",\n  \"}\": \"\\\\}\",\n  \"\\\\\": \"\\\\textbackslash{}\",\n  \"#\": \"\\\\#\",\n  $: \"\\\\$\",\n  \"%\": \"\\\\%\",\n  \"&\": \"\\\\&\",\n  \"^\": \"\\\\textasciicircum{}\",\n  _: \"\\\\_\",\n  \"~\": \"\\\\textasciitilde{}\"\n};\nvar formatEscapes = {\n  \"\\u2013\": \"\\\\--\",\n  \"\\u2014\": \"\\\\---\",\n  \" \": \"~\",\n  \"\\t\": \"\\\\qquad{}\",\n  \"\\r\\n\": \"\\\\newline{}\",\n  \"\\n\": \"\\\\newline{}\"\n};\n\nvar defaultEscapeMapFn = function defaultEscapeMapFn(defaultEscapes, formatEscapes) {\n  return _extends({}, defaultEscapes, formatEscapes);\n};\n/**\n * Escape a string to be used in LaTeX documents.\n * @param {string} str the string to be escaped.\n * @param {boolean} params.preserveFormatting whether formatting escapes should\n *  be performed (default: false).\n * @param {function} params.escapeMapFn the function to modify the escape maps.\n * @return {string} the escaped string, ready to be used in LaTeX.\n */\n\n\nmodule.exports = function (str) {\n  var _ref = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {},\n      _ref$preserveFormatti = _ref.preserveFormatting,\n      preserveFormatting = _ref$preserveFormatti === undefined ? false : _ref$preserveFormatti,\n      _ref$escapeMapFn = _ref.escapeMapFn,\n      escapeMapFn = _ref$escapeMapFn === undefined ? defaultEscapeMapFn : _ref$escapeMapFn;\n\n  var runningStr = String(str);\n  var result = \"\";\n  var escapes = escapeMapFn(_extends({}, defaultEscapes), preserveFormatting ? _extends({}, formatEscapes) : {});\n  var escapeKeys = Object.keys(escapes); // as it is reused later on\n  // Algorithm: Go through the string character by character, if it matches\n  // with one of the special characters then we'll replace it with the escaped\n  // version.\n\n  var _loop = function _loop() {\n    var specialCharFound = false;\n    escapeKeys.forEach(function (key, index) {\n      if (specialCharFound) {\n        return;\n      }\n\n      if (runningStr.length >= key.length && runningStr.slice(0, key.length) === key) {\n        result += escapes[escapeKeys[index]];\n        runningStr = runningStr.slice(key.length, runningStr.length);\n        specialCharFound = true;\n      }\n    });\n\n    if (!specialCharFound) {\n      result += runningStr.slice(0, 1);\n      runningStr = runningStr.slice(1, runningStr.length);\n    }\n  };\n\n  while (runningStr) {\n    _loop();\n  }\n\n  return result;\n};","'use strict';\n\nmodule.exports = [// type\nrequire('./Fraction'), // construction function\nrequire('./function/fraction')];","'use strict';\n\nvar Fraction = require('fraction.js');\n/**\n * Attach type information\n */\n\n\nFraction.prototype.type = 'Fraction';\nFraction.prototype.isFraction = true;\n/**\n * Get a JSON representation of a Fraction containing type information\n * @returns {Object} Returns a JSON object structured as:\n *                   `{\"mathjs\": \"Fraction\", \"n\": 3, \"d\": 8}`\n */\n\nFraction.prototype.toJSON = function () {\n  return {\n    mathjs: 'Fraction',\n    n: this.s * this.n,\n    d: this.d\n  };\n};\n/**\n * Instantiate a Fraction from a JSON object\n * @param {Object} json  a JSON object structured as:\n *                       `{\"mathjs\": \"Fraction\", \"n\": 3, \"d\": 8}`\n * @return {BigNumber}\n */\n\n\nFraction.fromJSON = function (json) {\n  return new Fraction(json);\n};\n\nfunction factory(type, config, load, typed) {\n  return Fraction;\n}\n\nexports.name = 'Fraction';\nexports.path = 'type';\nexports.factory = factory;","/**\n * @license Fraction.js v4.0.11 09/09/2015\n * http://www.xarg.org/2014/03/rational-numbers-in-javascript/\n *\n * Copyright (c) 2015, Robert Eisele (robert@xarg.org)\n * Dual licensed under the MIT or GPL Version 2 licenses.\n **/\n\n/**\n *\n * This class offers the possibility to calculate fractions.\n * You can pass a fraction in different formats. Either as array, as double, as string or as an integer.\n *\n * Array/Object form\n * [ 0 => <nominator>, 1 => <denominator> ]\n * [ n => <nominator>, d => <denominator> ]\n *\n * Integer form\n * - Single integer value\n *\n * Double form\n * - Single double value\n *\n * String form\n * 123.456 - a simple double\n * 123/456 - a string fraction\n * 123.'456' - a double with repeating decimal places\n * 123.(456) - synonym\n * 123.45'6' - a double with repeating last place\n * 123.45(6) - synonym\n *\n * Example:\n *\n * var f = new Fraction(\"9.4'31'\");\n * f.mul([-4, 3]).div(4.9);\n *\n */\n(function (root) {\n  \"use strict\"; // Maximum search depth for cyclic rational numbers. 2000 should be more than enough.\n  // Example: 1/7 = 0.(142857) has 6 repeating decimal places.\n  // If MAX_CYCLE_LEN gets reduced, long cycles will not be detected and toString() only gets the first 10 digits\n\n  var MAX_CYCLE_LEN = 2000; // Parsed data to avoid calling \"new\" all the time\n\n  var P = {\n    \"s\": 1,\n    \"n\": 0,\n    \"d\": 1\n  };\n\n  function createError(name) {\n    function errorConstructor() {\n      var temp = Error.apply(this, arguments);\n      temp['name'] = this['name'] = name;\n      this['stack'] = temp['stack'];\n      this['message'] = temp['message'];\n    }\n    /**\n     * Error constructor\n     *\n     * @constructor\n     */\n\n\n    function IntermediateInheritor() {}\n\n    IntermediateInheritor.prototype = Error.prototype;\n    errorConstructor.prototype = new IntermediateInheritor();\n    return errorConstructor;\n  }\n\n  var DivisionByZero = Fraction['DivisionByZero'] = createError('DivisionByZero');\n  var InvalidParameter = Fraction['InvalidParameter'] = createError('InvalidParameter');\n\n  function assign(n, s) {\n    if (isNaN(n = parseInt(n, 10))) {\n      throwInvalidParam();\n    }\n\n    return n * s;\n  }\n\n  function throwInvalidParam() {\n    throw new InvalidParameter();\n  }\n\n  var parse = function parse(p1, p2) {\n    var n = 0,\n        d = 1,\n        s = 1;\n    var v = 0,\n        w = 0,\n        x = 0,\n        y = 1,\n        z = 1;\n    var A = 0,\n        B = 1;\n    var C = 1,\n        D = 1;\n    var N = 10000000;\n    var M;\n\n    if (p1 === undefined || p1 === null) {\n      /* void */\n    } else if (p2 !== undefined) {\n      n = p1;\n      d = p2;\n      s = n * d;\n    } else switch (typeof p1) {\n      case \"object\":\n        {\n          if (\"d\" in p1 && \"n\" in p1) {\n            n = p1[\"n\"];\n            d = p1[\"d\"];\n            if (\"s\" in p1) n *= p1[\"s\"];\n          } else if (0 in p1) {\n            n = p1[0];\n            if (1 in p1) d = p1[1];\n          } else {\n            throwInvalidParam();\n          }\n\n          s = n * d;\n          break;\n        }\n\n      case \"number\":\n        {\n          if (p1 < 0) {\n            s = p1;\n            p1 = -p1;\n          }\n\n          if (p1 % 1 === 0) {\n            n = p1;\n          } else if (p1 > 0) {\n            // check for != 0, scale would become NaN (log(0)), which converges really slow\n            if (p1 >= 1) {\n              z = Math.pow(10, Math.floor(1 + Math.log(p1) / Math.LN10));\n              p1 /= z;\n            } // Using Farey Sequences\n            // http://www.johndcook.com/blog/2010/10/20/best-rational-approximation/\n\n\n            while (B <= N && D <= N) {\n              M = (A + C) / (B + D);\n\n              if (p1 === M) {\n                if (B + D <= N) {\n                  n = A + C;\n                  d = B + D;\n                } else if (D > B) {\n                  n = C;\n                  d = D;\n                } else {\n                  n = A;\n                  d = B;\n                }\n\n                break;\n              } else {\n                if (p1 > M) {\n                  A += C;\n                  B += D;\n                } else {\n                  C += A;\n                  D += B;\n                }\n\n                if (B > N) {\n                  n = C;\n                  d = D;\n                } else {\n                  n = A;\n                  d = B;\n                }\n              }\n            }\n\n            n *= z;\n          } else if (isNaN(p1) || isNaN(p2)) {\n            d = n = NaN;\n          }\n\n          break;\n        }\n\n      case \"string\":\n        {\n          B = p1.match(/\\d+|./g);\n          if (B === null) throwInvalidParam();\n\n          if (B[A] === '-') {\n            // Check for minus sign at the beginning\n            s = -1;\n            A++;\n          } else if (B[A] === '+') {\n            // Check for plus sign at the beginning\n            A++;\n          }\n\n          if (B.length === A + 1) {\n            // Check if it's just a simple number \"1234\"\n            w = assign(B[A++], s);\n          } else if (B[A + 1] === '.' || B[A] === '.') {\n            // Check if it's a decimal number\n            if (B[A] !== '.') {\n              // Handle 0.5 and .5\n              v = assign(B[A++], s);\n            }\n\n            A++; // Check for decimal places\n\n            if (A + 1 === B.length || B[A + 1] === '(' && B[A + 3] === ')' || B[A + 1] === \"'\" && B[A + 3] === \"'\") {\n              w = assign(B[A], s);\n              y = Math.pow(10, B[A].length);\n              A++;\n            } // Check for repeating places\n\n\n            if (B[A] === '(' && B[A + 2] === ')' || B[A] === \"'\" && B[A + 2] === \"'\") {\n              x = assign(B[A + 1], s);\n              z = Math.pow(10, B[A + 1].length) - 1;\n              A += 3;\n            }\n          } else if (B[A + 1] === '/' || B[A + 1] === ':') {\n            // Check for a simple fraction \"123/456\" or \"123:456\"\n            w = assign(B[A], s);\n            y = assign(B[A + 2], 1);\n            A += 3;\n          } else if (B[A + 3] === '/' && B[A + 1] === ' ') {\n            // Check for a complex fraction \"123 1/2\"\n            v = assign(B[A], s);\n            w = assign(B[A + 2], s);\n            y = assign(B[A + 4], 1);\n            A += 5;\n          }\n\n          if (B.length <= A) {\n            // Check for more tokens on the stack\n            d = y * z;\n            s =\n            /* void */\n            n = x + d * v + z * w;\n            break;\n          }\n          /* Fall through on error */\n\n        }\n\n      default:\n        throwInvalidParam();\n    }\n\n    if (d === 0) {\n      throw new DivisionByZero();\n    }\n\n    P[\"s\"] = s < 0 ? -1 : 1;\n    P[\"n\"] = Math.abs(n);\n    P[\"d\"] = Math.abs(d);\n  };\n\n  function modpow(b, e, m) {\n    var r = 1;\n\n    for (; e > 0; b = b * b % m, e >>= 1) {\n      if (e & 1) {\n        r = r * b % m;\n      }\n    }\n\n    return r;\n  }\n\n  function cycleLen(n, d) {\n    for (; d % 2 === 0; d /= 2) {}\n\n    for (; d % 5 === 0; d /= 5) {}\n\n    if (d === 1) // Catch non-cyclic numbers\n      return 0; // If we would like to compute really large numbers quicker, we could make use of Fermat's little theorem:\n    // 10^(d-1) % d == 1\n    // However, we don't need such large numbers and MAX_CYCLE_LEN should be the capstone,\n    // as we want to translate the numbers to strings.\n\n    var rem = 10 % d;\n    var t = 1;\n\n    for (; rem !== 1; t++) {\n      rem = rem * 10 % d;\n      if (t > MAX_CYCLE_LEN) return 0; // Returning 0 here means that we don't print it as a cyclic number. It's likely that the answer is `d-1`\n    }\n\n    return t;\n  }\n\n  function cycleStart(n, d, len) {\n    var rem1 = 1;\n    var rem2 = modpow(10, len, d);\n\n    for (var t = 0; t < 300; t++) {\n      // s < ~log10(Number.MAX_VALUE)\n      // Solve 10^s == 10^(s+t) (mod d)\n      if (rem1 === rem2) return t;\n      rem1 = rem1 * 10 % d;\n      rem2 = rem2 * 10 % d;\n    }\n\n    return 0;\n  }\n\n  function _gcd(a, b) {\n    if (!a) return b;\n    if (!b) return a;\n\n    while (1) {\n      a %= b;\n      if (!a) return b;\n      b %= a;\n      if (!b) return a;\n    }\n  }\n\n  ;\n  /**\n   * Module constructor\n   *\n   * @constructor\n   * @param {number|Fraction=} a\n   * @param {number=} b\n   */\n\n  function Fraction(a, b) {\n    if (!(this instanceof Fraction)) {\n      return new Fraction(a, b);\n    }\n\n    parse(a, b);\n\n    if (Fraction['REDUCE']) {\n      a = _gcd(P[\"d\"], P[\"n\"]); // Abuse a\n    } else {\n      a = 1;\n    }\n\n    this[\"s\"] = P[\"s\"];\n    this[\"n\"] = P[\"n\"] / a;\n    this[\"d\"] = P[\"d\"] / a;\n  }\n  /**\n   * Boolean global variable to be able to disable automatic reduction of the fraction\n   *\n   */\n\n\n  Fraction['REDUCE'] = 1;\n  Fraction.prototype = {\n    \"s\": 1,\n    \"n\": 0,\n    \"d\": 1,\n\n    /**\n     * Calculates the absolute value\n     *\n     * Ex: new Fraction(-4).abs() => 4\n     **/\n    \"abs\": function abs() {\n      return new Fraction(this[\"n\"], this[\"d\"]);\n    },\n\n    /**\n     * Inverts the sign of the current fraction\n     *\n     * Ex: new Fraction(-4).neg() => 4\n     **/\n    \"neg\": function neg() {\n      return new Fraction(-this[\"s\"] * this[\"n\"], this[\"d\"]);\n    },\n\n    /**\n     * Adds two rational numbers\n     *\n     * Ex: new Fraction({n: 2, d: 3}).add(\"14.9\") => 467 / 30\n     **/\n    \"add\": function add(a, b) {\n      parse(a, b);\n      return new Fraction(this[\"s\"] * this[\"n\"] * P[\"d\"] + P[\"s\"] * this[\"d\"] * P[\"n\"], this[\"d\"] * P[\"d\"]);\n    },\n\n    /**\n     * Subtracts two rational numbers\n     *\n     * Ex: new Fraction({n: 2, d: 3}).add(\"14.9\") => -427 / 30\n     **/\n    \"sub\": function sub(a, b) {\n      parse(a, b);\n      return new Fraction(this[\"s\"] * this[\"n\"] * P[\"d\"] - P[\"s\"] * this[\"d\"] * P[\"n\"], this[\"d\"] * P[\"d\"]);\n    },\n\n    /**\n     * Multiplies two rational numbers\n     *\n     * Ex: new Fraction(\"-17.(345)\").mul(3) => 5776 / 111\n     **/\n    \"mul\": function mul(a, b) {\n      parse(a, b);\n      return new Fraction(this[\"s\"] * P[\"s\"] * this[\"n\"] * P[\"n\"], this[\"d\"] * P[\"d\"]);\n    },\n\n    /**\n     * Divides two rational numbers\n     *\n     * Ex: new Fraction(\"-17.(345)\").inverse().div(3)\n     **/\n    \"div\": function div(a, b) {\n      parse(a, b);\n      return new Fraction(this[\"s\"] * P[\"s\"] * this[\"n\"] * P[\"d\"], this[\"d\"] * P[\"n\"]);\n    },\n\n    /**\n     * Clones the actual object\n     *\n     * Ex: new Fraction(\"-17.(345)\").clone()\n     **/\n    \"clone\": function clone() {\n      return new Fraction(this);\n    },\n\n    /**\n     * Calculates the modulo of two rational numbers - a more precise fmod\n     *\n     * Ex: new Fraction('4.(3)').mod([7, 8]) => (13/3) % (7/8) = (5/6)\n     **/\n    \"mod\": function mod(a, b) {\n      if (isNaN(this['n']) || isNaN(this['d'])) {\n        return new Fraction(NaN);\n      }\n\n      if (a === undefined) {\n        return new Fraction(this[\"s\"] * this[\"n\"] % this[\"d\"], 1);\n      }\n\n      parse(a, b);\n\n      if (0 === P[\"n\"] && 0 === this[\"d\"]) {\n        Fraction(0, 0); // Throw DivisionByZero\n      }\n      /*\n       * First silly attempt, kinda slow\n       *\n       return that[\"sub\"]({\n       \"n\": num[\"n\"] * Math.floor((this.n / this.d) / (num.n / num.d)),\n       \"d\": num[\"d\"],\n       \"s\": this[\"s\"]\n       });*/\n\n      /*\n       * New attempt: a1 / b1 = a2 / b2 * q + r\n       * => b2 * a1 = a2 * b1 * q + b1 * b2 * r\n       * => (b2 * a1 % a2 * b1) / (b1 * b2)\n       */\n\n\n      return new Fraction(this[\"s\"] * (P[\"d\"] * this[\"n\"]) % (P[\"n\"] * this[\"d\"]), P[\"d\"] * this[\"d\"]);\n    },\n\n    /**\n     * Calculates the fractional gcd of two rational numbers\n     *\n     * Ex: new Fraction(5,8).gcd(3,7) => 1/56\n     */\n    \"gcd\": function gcd(a, b) {\n      parse(a, b); // gcd(a / b, c / d) = gcd(a, c) / lcm(b, d)\n\n      return new Fraction(_gcd(P[\"n\"], this[\"n\"]) * _gcd(P[\"d\"], this[\"d\"]), P[\"d\"] * this[\"d\"]);\n    },\n\n    /**\n     * Calculates the fractional lcm of two rational numbers\n     *\n     * Ex: new Fraction(5,8).lcm(3,7) => 15\n     */\n    \"lcm\": function lcm(a, b) {\n      parse(a, b); // lcm(a / b, c / d) = lcm(a, c) / gcd(b, d)\n\n      if (P[\"n\"] === 0 && this[\"n\"] === 0) {\n        return new Fraction();\n      }\n\n      return new Fraction(P[\"n\"] * this[\"n\"], _gcd(P[\"n\"], this[\"n\"]) * _gcd(P[\"d\"], this[\"d\"]));\n    },\n\n    /**\n     * Calculates the ceil of a rational number\n     *\n     * Ex: new Fraction('4.(3)').ceil() => (5 / 1)\n     **/\n    \"ceil\": function ceil(places) {\n      places = Math.pow(10, places || 0);\n\n      if (isNaN(this[\"n\"]) || isNaN(this[\"d\"])) {\n        return new Fraction(NaN);\n      }\n\n      return new Fraction(Math.ceil(places * this[\"s\"] * this[\"n\"] / this[\"d\"]), places);\n    },\n\n    /**\n     * Calculates the floor of a rational number\n     *\n     * Ex: new Fraction('4.(3)').floor() => (4 / 1)\n     **/\n    \"floor\": function floor(places) {\n      places = Math.pow(10, places || 0);\n\n      if (isNaN(this[\"n\"]) || isNaN(this[\"d\"])) {\n        return new Fraction(NaN);\n      }\n\n      return new Fraction(Math.floor(places * this[\"s\"] * this[\"n\"] / this[\"d\"]), places);\n    },\n\n    /**\n     * Rounds a rational numbers\n     *\n     * Ex: new Fraction('4.(3)').round() => (4 / 1)\n     **/\n    \"round\": function round(places) {\n      places = Math.pow(10, places || 0);\n\n      if (isNaN(this[\"n\"]) || isNaN(this[\"d\"])) {\n        return new Fraction(NaN);\n      }\n\n      return new Fraction(Math.round(places * this[\"s\"] * this[\"n\"] / this[\"d\"]), places);\n    },\n\n    /**\n     * Gets the inverse of the fraction, means numerator and denumerator are exchanged\n     *\n     * Ex: new Fraction([-3, 4]).inverse() => -4 / 3\n     **/\n    \"inverse\": function inverse() {\n      return new Fraction(this[\"s\"] * this[\"d\"], this[\"n\"]);\n    },\n\n    /**\n     * Calculates the fraction to some integer exponent\n     *\n     * Ex: new Fraction(-1,2).pow(-3) => -8\n     */\n    \"pow\": function pow(m) {\n      if (m < 0) {\n        return new Fraction(Math.pow(this['s'] * this[\"d\"], -m), Math.pow(this[\"n\"], -m));\n      } else {\n        return new Fraction(Math.pow(this['s'] * this[\"n\"], m), Math.pow(this[\"d\"], m));\n      }\n    },\n\n    /**\n     * Check if two rational numbers are the same\n     *\n     * Ex: new Fraction(19.6).equals([98, 5]);\n     **/\n    \"equals\": function equals(a, b) {\n      parse(a, b);\n      return this[\"s\"] * this[\"n\"] * P[\"d\"] === P[\"s\"] * P[\"n\"] * this[\"d\"]; // Same as compare() === 0\n    },\n\n    /**\n     * Check if two rational numbers are the same\n     *\n     * Ex: new Fraction(19.6).equals([98, 5]);\n     **/\n    \"compare\": function compare(a, b) {\n      parse(a, b);\n      var t = this[\"s\"] * this[\"n\"] * P[\"d\"] - P[\"s\"] * P[\"n\"] * this[\"d\"];\n      return (0 < t) - (t < 0);\n    },\n    \"simplify\": function simplify(eps) {\n      // First naive implementation, needs improvement\n      if (isNaN(this['n']) || isNaN(this['d'])) {\n        return this;\n      }\n\n      var cont = this['abs']()['toContinued']();\n      eps = eps || 0.001;\n\n      function rec(a) {\n        if (a.length === 1) return new Fraction(a[0]);\n        return rec(a.slice(1))['inverse']()['add'](a[0]);\n      }\n\n      for (var i = 0; i < cont.length; i++) {\n        var tmp = rec(cont.slice(0, i + 1));\n\n        if (tmp['sub'](this['abs']())['abs']().valueOf() < eps) {\n          return tmp['mul'](this['s']);\n        }\n      }\n\n      return this;\n    },\n\n    /**\n     * Check if two rational numbers are divisible\n     *\n     * Ex: new Fraction(19.6).divisible(1.5);\n     */\n    \"divisible\": function divisible(a, b) {\n      parse(a, b);\n      return !(!(P[\"n\"] * this[\"d\"]) || this[\"n\"] * P[\"d\"] % (P[\"n\"] * this[\"d\"]));\n    },\n\n    /**\n     * Returns a decimal representation of the fraction\n     *\n     * Ex: new Fraction(\"100.'91823'\").valueOf() => 100.91823918239183\n     **/\n    'valueOf': function valueOf() {\n      return this[\"s\"] * this[\"n\"] / this[\"d\"];\n    },\n\n    /**\n     * Returns a string-fraction representation of a Fraction object\n     *\n     * Ex: new Fraction(\"1.'3'\").toFraction() => \"4 1/3\"\n     **/\n    'toFraction': function toFraction(excludeWhole) {\n      var whole,\n          str = \"\";\n      var n = this[\"n\"];\n      var d = this[\"d\"];\n\n      if (this[\"s\"] < 0) {\n        str += '-';\n      }\n\n      if (d === 1) {\n        str += n;\n      } else {\n        if (excludeWhole && (whole = Math.floor(n / d)) > 0) {\n          str += whole;\n          str += \" \";\n          n %= d;\n        }\n\n        str += n;\n        str += '/';\n        str += d;\n      }\n\n      return str;\n    },\n\n    /**\n     * Returns a latex representation of a Fraction object\n     *\n     * Ex: new Fraction(\"1.'3'\").toLatex() => \"\\frac{4}{3}\"\n     **/\n    'toLatex': function toLatex(excludeWhole) {\n      var whole,\n          str = \"\";\n      var n = this[\"n\"];\n      var d = this[\"d\"];\n\n      if (this[\"s\"] < 0) {\n        str += '-';\n      }\n\n      if (d === 1) {\n        str += n;\n      } else {\n        if (excludeWhole && (whole = Math.floor(n / d)) > 0) {\n          str += whole;\n          n %= d;\n        }\n\n        str += \"\\\\frac{\";\n        str += n;\n        str += '}{';\n        str += d;\n        str += '}';\n      }\n\n      return str;\n    },\n\n    /**\n     * Returns an array of continued fraction elements\n     *\n     * Ex: new Fraction(\"7/8\").toContinued() => [0,1,7]\n     */\n    'toContinued': function toContinued() {\n      var t;\n      var a = this['n'];\n      var b = this['d'];\n      var res = [];\n\n      if (isNaN(this['n']) || isNaN(this['d'])) {\n        return res;\n      }\n\n      do {\n        res.push(Math.floor(a / b));\n        t = a % b;\n        a = b;\n        b = t;\n      } while (a !== 1);\n\n      return res;\n    },\n\n    /**\n     * Creates a string representation of a fraction with all digits\n     *\n     * Ex: new Fraction(\"100.'91823'\").toString() => \"100.(91823)\"\n     **/\n    'toString': function toString(dec) {\n      var g;\n      var N = this[\"n\"];\n      var D = this[\"d\"];\n\n      if (isNaN(N) || isNaN(D)) {\n        return \"NaN\";\n      }\n\n      if (!Fraction['REDUCE']) {\n        g = _gcd(N, D);\n        N /= g;\n        D /= g;\n      }\n\n      dec = dec || 15; // 15 = decimal places when no repitation\n\n      var cycLen = cycleLen(N, D); // Cycle length\n\n      var cycOff = cycleStart(N, D, cycLen); // Cycle start\n\n      var str = this['s'] === -1 ? \"-\" : \"\";\n      str += N / D | 0;\n      N %= D;\n      N *= 10;\n      if (N) str += \".\";\n\n      if (cycLen) {\n        for (var i = cycOff; i--;) {\n          str += N / D | 0;\n          N %= D;\n          N *= 10;\n        }\n\n        str += \"(\";\n\n        for (var i = cycLen; i--;) {\n          str += N / D | 0;\n          N %= D;\n          N *= 10;\n        }\n\n        str += \")\";\n      } else {\n        for (var i = dec; N && i--;) {\n          str += N / D | 0;\n          N %= D;\n          N *= 10;\n        }\n      }\n\n      return str;\n    }\n  };\n\n  if (typeof define === \"function\" && define[\"amd\"]) {\n    define([], function () {\n      return Fraction;\n    });\n  } else if (typeof exports === \"object\") {\n    Object.defineProperty(exports, \"__esModule\", {\n      'value': true\n    });\n    Fraction['default'] = Fraction;\n    Fraction['Fraction'] = Fraction;\n    module['exports'] = Fraction;\n  } else {\n    root['Fraction'] = Fraction;\n  }\n})(this);","'use strict';\n\nmodule.exports = [// types\nrequire('./Matrix'), require('./DenseMatrix'), require('./SparseMatrix'), require('./Spa'), require('./FibonacciHeap'), require('./ImmutableDenseMatrix'), require('./MatrixIndex'), require('./Range'), // construction functions\nrequire('./function/index'), require('./function/matrix'), require('./function/sparse'), // util functions\nrequire('./utils/getArrayDataType')];","'use strict';\n/**\n * Test whether value is a boolean\n * @param {*} value\n * @return {boolean} isBoolean\n */\n\nexports.isBoolean = function (value) {\n  return typeof value === 'boolean';\n};","'use strict';\n\nvar util = require('../../utils/index');\n\nvar DimensionError = require('../../error/DimensionError');\n\nvar array = util.array;\nvar object = util.object;\nvar string = util.string;\nvar number = util.number;\nvar isArray = Array.isArray;\nvar isNumber = number.isNumber;\nvar isInteger = number.isInteger;\nvar isString = string.isString;\nvar validateIndex = array.validateIndex;\n\nfunction factory(type, config, load, typed) {\n  var Matrix = load(require('./Matrix')); // force loading Matrix (do not use via type.Matrix)\n\n  var equalScalar = load(require('../../function/relational/equalScalar'));\n  var getArrayDataType = load(require('./utils/getArrayDataType'));\n  /**\n   * Sparse Matrix implementation. This type implements a Compressed Column Storage format\n   * for sparse matrices.\n   * @class SparseMatrix\n   */\n\n  function SparseMatrix(data, datatype) {\n    if (!(this instanceof SparseMatrix)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    if (datatype && !isString(datatype)) {\n      throw new Error('Invalid datatype: ' + datatype);\n    }\n\n    if (type.isMatrix(data)) {\n      // create from matrix\n      _createFromMatrix(this, data, datatype);\n    } else if (data && isArray(data.index) && isArray(data.ptr) && isArray(data.size)) {\n      // initialize fields\n      this._values = data.values;\n      this._index = data.index;\n      this._ptr = data.ptr;\n      this._size = data.size;\n      this._datatype = datatype || data.datatype;\n    } else if (isArray(data)) {\n      // create from array\n      _createFromArray(this, data, datatype);\n    } else if (data) {\n      // unsupported type\n      throw new TypeError('Unsupported type of data (' + util.types.type(data) + ')');\n    } else {\n      // nothing provided\n      this._values = [];\n      this._index = [];\n      this._ptr = [0];\n      this._size = [0, 0];\n      this._datatype = datatype;\n    }\n  }\n\n  function _createFromMatrix(matrix, source, datatype) {\n    // check matrix type\n    if (source.type === 'SparseMatrix') {\n      // clone arrays\n      matrix._values = source._values ? object.clone(source._values) : undefined;\n      matrix._index = object.clone(source._index);\n      matrix._ptr = object.clone(source._ptr);\n      matrix._size = object.clone(source._size);\n      matrix._datatype = datatype || source._datatype;\n    } else {\n      // build from matrix data\n      _createFromArray(matrix, source.valueOf(), datatype || source._datatype);\n    }\n  }\n\n  function _createFromArray(matrix, data, datatype) {\n    // initialize fields\n    matrix._values = [];\n    matrix._index = [];\n    matrix._ptr = [];\n    matrix._datatype = datatype; // discover rows & columns, do not use math.size() to avoid looping array twice\n\n    var rows = data.length;\n    var columns = 0; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0;\n\n    if (isString(datatype)) {\n      // find signature that matches (datatype, datatype)\n      eq = typed.find(equalScalar, [datatype, datatype]) || equalScalar; // convert 0 to the same datatype\n\n      zero = typed.convert(0, datatype);\n    } // check we have rows (empty array)\n\n\n    if (rows > 0) {\n      // column index\n      var j = 0;\n\n      do {\n        // store pointer to values index\n        matrix._ptr.push(matrix._index.length); // loop rows\n\n\n        for (var i = 0; i < rows; i++) {\n          // current row\n          var row = data[i]; // check row is an array\n\n          if (isArray(row)) {\n            // update columns if needed (only on first column)\n            if (j === 0 && columns < row.length) {\n              columns = row.length;\n            } // check row has column\n\n\n            if (j < row.length) {\n              // value\n              var v = row[j]; // check value != 0\n\n              if (!eq(v, zero)) {\n                // store value\n                matrix._values.push(v); // index\n\n\n                matrix._index.push(i);\n              }\n            }\n          } else {\n            // update columns if needed (only on first column)\n            if (j === 0 && columns < 1) {\n              columns = 1;\n            } // check value != 0 (row is a scalar)\n\n\n            if (!eq(row, zero)) {\n              // store value\n              matrix._values.push(row); // index\n\n\n              matrix._index.push(i);\n            }\n          }\n        } // increment index\n\n\n        j++;\n      } while (j < columns);\n    } // store number of values in ptr\n\n\n    matrix._ptr.push(matrix._index.length); // size\n\n\n    matrix._size = [rows, columns];\n  }\n\n  SparseMatrix.prototype = new Matrix();\n  /**\n   * Attach type information\n   */\n\n  SparseMatrix.prototype.type = 'SparseMatrix';\n  SparseMatrix.prototype.isSparseMatrix = true;\n  /**\n   * Get the matrix type\n   *\n   * Usage:\n   *    const matrixType = matrix.getDataType()  // retrieves the matrix type\n   *\n   * @memberOf SparseMatrix\n   * @return {string}   type information; if multiple types are found from the Matrix, it will return \"mixed\"\n   */\n\n  SparseMatrix.prototype.getDataType = function () {\n    return getArrayDataType(this._values);\n  };\n  /**\n   * Get the storage format used by the matrix.\n   *\n   * Usage:\n   *     const format = matrix.storage()   // retrieve storage format\n   *\n   * @memberof SparseMatrix\n   * @return {string}           The storage format.\n   */\n\n\n  SparseMatrix.prototype.storage = function () {\n    return 'sparse';\n  };\n  /**\n   * Get the datatype of the data stored in the matrix.\n   *\n   * Usage:\n   *     const format = matrix.datatype()    // retrieve matrix datatype\n   *\n   * @memberof SparseMatrix\n   * @return {string}           The datatype.\n   */\n\n\n  SparseMatrix.prototype.datatype = function () {\n    return this._datatype;\n  };\n  /**\n   * Create a new SparseMatrix\n   * @memberof SparseMatrix\n   * @param {Array} data\n   * @param {string} [datatype]\n   */\n\n\n  SparseMatrix.prototype.create = function (data, datatype) {\n    return new SparseMatrix(data, datatype);\n  };\n  /**\n   * Get the matrix density.\n   *\n   * Usage:\n   *     const density = matrix.density()                   // retrieve matrix density\n   *\n   * @memberof SparseMatrix\n   * @return {number}           The matrix density.\n   */\n\n\n  SparseMatrix.prototype.density = function () {\n    // rows & columns\n    var rows = this._size[0];\n    var columns = this._size[1]; // calculate density\n\n    return rows !== 0 && columns !== 0 ? this._index.length / (rows * columns) : 0;\n  };\n  /**\n   * Get a subset of the matrix, or replace a subset of the matrix.\n   *\n   * Usage:\n   *     const subset = matrix.subset(index)               // retrieve subset\n   *     const value = matrix.subset(index, replacement)   // replace subset\n   *\n   * @memberof SparseMatrix\n   * @param {Index} index\n   * @param {Array | Maytrix | *} [replacement]\n   * @param {*} [defaultValue=0]      Default value, filled in on new entries when\n   *                                  the matrix is resized. If not provided,\n   *                                  new matrix elements will be filled with zeros.\n   */\n\n\n  SparseMatrix.prototype.subset = function (index, replacement, defaultValue) {\n    // check it is a pattern matrix\n    if (!this._values) {\n      throw new Error('Cannot invoke subset on a Pattern only matrix');\n    } // check arguments\n\n\n    switch (arguments.length) {\n      case 1:\n        return _getsubset(this, index);\n      // intentional fall through\n\n      case 2:\n      case 3:\n        return _setsubset(this, index, replacement, defaultValue);\n\n      default:\n        throw new SyntaxError('Wrong number of arguments');\n    }\n  };\n\n  function _getsubset(matrix, idx) {\n    // check idx\n    if (!type.isIndex(idx)) {\n      throw new TypeError('Invalid index');\n    }\n\n    var isScalar = idx.isScalar();\n\n    if (isScalar) {\n      // return a scalar\n      return matrix.get(idx.min());\n    } // validate dimensions\n\n\n    var size = idx.size();\n\n    if (size.length !== matrix._size.length) {\n      throw new DimensionError(size.length, matrix._size.length);\n    } // vars\n\n\n    var i, ii, k, kk; // validate if any of the ranges in the index is out of range\n\n    var min = idx.min();\n    var max = idx.max();\n\n    for (i = 0, ii = matrix._size.length; i < ii; i++) {\n      validateIndex(min[i], matrix._size[i]);\n      validateIndex(max[i], matrix._size[i]);\n    } // matrix arrays\n\n\n    var mvalues = matrix._values;\n    var mindex = matrix._index;\n    var mptr = matrix._ptr; // rows & columns dimensions for result matrix\n\n    var rows = idx.dimension(0);\n    var columns = idx.dimension(1); // workspace & permutation vector\n\n    var w = [];\n    var pv = []; // loop rows in resulting matrix\n\n    rows.forEach(function (i, r) {\n      // update permutation vector\n      pv[i] = r[0]; // mark i in workspace\n\n      w[i] = true;\n    }); // result matrix arrays\n\n    var values = mvalues ? [] : undefined;\n    var index = [];\n    var ptr = []; // loop columns in result matrix\n\n    columns.forEach(function (j) {\n      // update ptr\n      ptr.push(index.length); // loop values in column j\n\n      for (k = mptr[j], kk = mptr[j + 1]; k < kk; k++) {\n        // row\n        i = mindex[k]; // check row is in result matrix\n\n        if (w[i] === true) {\n          // push index\n          index.push(pv[i]); // check we need to process values\n\n          if (values) {\n            values.push(mvalues[k]);\n          }\n        }\n      }\n    }); // update ptr\n\n    ptr.push(index.length); // return matrix\n\n    return new SparseMatrix({\n      values: values,\n      index: index,\n      ptr: ptr,\n      size: size,\n      datatype: matrix._datatype\n    });\n  }\n\n  function _setsubset(matrix, index, submatrix, defaultValue) {\n    // check index\n    if (!index || index.isIndex !== true) {\n      throw new TypeError('Invalid index');\n    } // get index size and check whether the index contains a single value\n\n\n    var iSize = index.size();\n    var isScalar = index.isScalar(); // calculate the size of the submatrix, and convert it into an Array if needed\n\n    var sSize;\n\n    if (type.isMatrix(submatrix)) {\n      // submatrix size\n      sSize = submatrix.size(); // use array representation\n\n      submatrix = submatrix.toArray();\n    } else {\n      // get submatrix size (array, scalar)\n      sSize = array.size(submatrix);\n    } // check index is a scalar\n\n\n    if (isScalar) {\n      // verify submatrix is a scalar\n      if (sSize.length !== 0) {\n        throw new TypeError('Scalar expected');\n      } // set value\n\n\n      matrix.set(index.min(), submatrix, defaultValue);\n    } else {\n      // validate dimensions, index size must be one or two dimensions\n      if (iSize.length !== 1 && iSize.length !== 2) {\n        throw new DimensionError(iSize.length, matrix._size.length, '<');\n      } // check submatrix and index have the same dimensions\n\n\n      if (sSize.length < iSize.length) {\n        // calculate number of missing outer dimensions\n        var i = 0;\n        var outer = 0;\n\n        while (iSize[i] === 1 && sSize[i] === 1) {\n          i++;\n        }\n\n        while (iSize[i] === 1) {\n          outer++;\n          i++;\n        } // unsqueeze both outer and inner dimensions\n\n\n        submatrix = array.unsqueeze(submatrix, iSize.length, outer, sSize);\n      } // check whether the size of the submatrix matches the index size\n\n\n      if (!object.deepEqual(iSize, sSize)) {\n        throw new DimensionError(iSize, sSize, '>');\n      } // offsets\n\n\n      var x0 = index.min()[0];\n      var y0 = index.min()[1]; // submatrix rows and columns\n\n      var m = sSize[0];\n      var n = sSize[1]; // loop submatrix\n\n      for (var x = 0; x < m; x++) {\n        // loop columns\n        for (var y = 0; y < n; y++) {\n          // value at i, j\n          var v = submatrix[x][y]; // invoke set (zero value will remove entry from matrix)\n\n          matrix.set([x + x0, y + y0], v, defaultValue);\n        }\n      }\n    }\n\n    return matrix;\n  }\n  /**\n   * Get a single element from the matrix.\n   * @memberof SparseMatrix\n   * @param {number[]} index   Zero-based index\n   * @return {*} value\n   */\n\n\n  SparseMatrix.prototype.get = function (index) {\n    if (!isArray(index)) {\n      throw new TypeError('Array expected');\n    }\n\n    if (index.length !== this._size.length) {\n      throw new DimensionError(index.length, this._size.length);\n    } // check it is a pattern matrix\n\n\n    if (!this._values) {\n      throw new Error('Cannot invoke get on a Pattern only matrix');\n    } // row and column\n\n\n    var i = index[0];\n    var j = index[1]; // check i, j are valid\n\n    validateIndex(i, this._size[0]);\n    validateIndex(j, this._size[1]); // find value index\n\n    var k = _getValueIndex(i, this._ptr[j], this._ptr[j + 1], this._index); // check k is prior to next column k and it is in the correct row\n\n\n    if (k < this._ptr[j + 1] && this._index[k] === i) {\n      return this._values[k];\n    }\n\n    return 0;\n  };\n  /**\n   * Replace a single element in the matrix.\n   * @memberof SparseMatrix\n   * @param {number[]} index   Zero-based index\n   * @param {*} value\n   * @param {*} [defaultValue]        Default value, filled in on new entries when\n   *                                  the matrix is resized. If not provided,\n   *                                  new matrix elements will be set to zero.\n   * @return {SparseMatrix} self\n   */\n\n\n  SparseMatrix.prototype.set = function (index, v, defaultValue) {\n    if (!isArray(index)) {\n      throw new TypeError('Array expected');\n    }\n\n    if (index.length !== this._size.length) {\n      throw new DimensionError(index.length, this._size.length);\n    } // check it is a pattern matrix\n\n\n    if (!this._values) {\n      throw new Error('Cannot invoke set on a Pattern only matrix');\n    } // row and column\n\n\n    var i = index[0];\n    var j = index[1]; // rows & columns\n\n    var rows = this._size[0];\n    var columns = this._size[1]; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0;\n\n    if (isString(this._datatype)) {\n      // find signature that matches (datatype, datatype)\n      eq = typed.find(equalScalar, [this._datatype, this._datatype]) || equalScalar; // convert 0 to the same datatype\n\n      zero = typed.convert(0, this._datatype);\n    } // check we need to resize matrix\n\n\n    if (i > rows - 1 || j > columns - 1) {\n      // resize matrix\n      _resize(this, Math.max(i + 1, rows), Math.max(j + 1, columns), defaultValue); // update rows & columns\n\n\n      rows = this._size[0];\n      columns = this._size[1];\n    } // check i, j are valid\n\n\n    validateIndex(i, rows);\n    validateIndex(j, columns); // find value index\n\n    var k = _getValueIndex(i, this._ptr[j], this._ptr[j + 1], this._index); // check k is prior to next column k and it is in the correct row\n\n\n    if (k < this._ptr[j + 1] && this._index[k] === i) {\n      // check value != 0\n      if (!eq(v, zero)) {\n        // update value\n        this._values[k] = v;\n      } else {\n        // remove value from matrix\n        _remove(k, j, this._values, this._index, this._ptr);\n      }\n    } else {\n      // insert value @ (i, j)\n      _insert(k, i, j, v, this._values, this._index, this._ptr);\n    }\n\n    return this;\n  };\n\n  function _getValueIndex(i, top, bottom, index) {\n    // check row is on the bottom side\n    if (bottom - top === 0) {\n      return bottom;\n    } // loop rows [top, bottom[\n\n\n    for (var r = top; r < bottom; r++) {\n      // check we found value index\n      if (index[r] === i) {\n        return r;\n      }\n    } // we did not find row\n\n\n    return top;\n  }\n\n  function _remove(k, j, values, index, ptr) {\n    // remove value @ k\n    values.splice(k, 1);\n    index.splice(k, 1); // update pointers\n\n    for (var x = j + 1; x < ptr.length; x++) {\n      ptr[x]--;\n    }\n  }\n\n  function _insert(k, i, j, v, values, index, ptr) {\n    // insert value\n    values.splice(k, 0, v); // update row for k\n\n    index.splice(k, 0, i); // update column pointers\n\n    for (var x = j + 1; x < ptr.length; x++) {\n      ptr[x]++;\n    }\n  }\n  /**\n   * Resize the matrix to the given size. Returns a copy of the matrix when\n   * `copy=true`, otherwise return the matrix itself (resize in place).\n   *\n   * @memberof SparseMatrix\n   * @param {number[]} size           The new size the matrix should have.\n   * @param {*} [defaultValue=0]      Default value, filled in on new entries.\n   *                                  If not provided, the matrix elements will\n   *                                  be filled with zeros.\n   * @param {boolean} [copy]          Return a resized copy of the matrix\n   *\n   * @return {Matrix}                 The resized matrix\n   */\n\n\n  SparseMatrix.prototype.resize = function (size, defaultValue, copy) {\n    // validate arguments\n    if (!isArray(size)) {\n      throw new TypeError('Array expected');\n    }\n\n    if (size.length !== 2) {\n      throw new Error('Only two dimensions matrix are supported');\n    } // check sizes\n\n\n    size.forEach(function (value) {\n      if (!number.isNumber(value) || !number.isInteger(value) || value < 0) {\n        throw new TypeError('Invalid size, must contain positive integers ' + '(size: ' + string.format(size) + ')');\n      }\n    }); // matrix to resize\n\n    var m = copy ? this.clone() : this; // resize matrix\n\n    return _resize(m, size[0], size[1], defaultValue);\n  };\n\n  function _resize(matrix, rows, columns, defaultValue) {\n    // value to insert at the time of growing matrix\n    var value = defaultValue || 0; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0;\n\n    if (isString(matrix._datatype)) {\n      // find signature that matches (datatype, datatype)\n      eq = typed.find(equalScalar, [matrix._datatype, matrix._datatype]) || equalScalar; // convert 0 to the same datatype\n\n      zero = typed.convert(0, matrix._datatype); // convert value to the same datatype\n\n      value = typed.convert(value, matrix._datatype);\n    } // should we insert the value?\n\n\n    var ins = !eq(value, zero); // old columns and rows\n\n    var r = matrix._size[0];\n    var c = matrix._size[1];\n    var i, j, k; // check we need to increase columns\n\n    if (columns > c) {\n      // loop new columns\n      for (j = c; j < columns; j++) {\n        // update matrix._ptr for current column\n        matrix._ptr[j] = matrix._values.length; // check we need to insert matrix._values\n\n        if (ins) {\n          // loop rows\n          for (i = 0; i < r; i++) {\n            // add new matrix._values\n            matrix._values.push(value); // update matrix._index\n\n\n            matrix._index.push(i);\n          }\n        }\n      } // store number of matrix._values in matrix._ptr\n\n\n      matrix._ptr[columns] = matrix._values.length;\n    } else if (columns < c) {\n      // truncate matrix._ptr\n      matrix._ptr.splice(columns + 1, c - columns); // truncate matrix._values and matrix._index\n\n\n      matrix._values.splice(matrix._ptr[columns], matrix._values.length);\n\n      matrix._index.splice(matrix._ptr[columns], matrix._index.length);\n    } // update columns\n\n\n    c = columns; // check we need to increase rows\n\n    if (rows > r) {\n      // check we have to insert values\n      if (ins) {\n        // inserts\n        var n = 0; // loop columns\n\n        for (j = 0; j < c; j++) {\n          // update matrix._ptr for current column\n          matrix._ptr[j] = matrix._ptr[j] + n; // where to insert matrix._values\n\n          k = matrix._ptr[j + 1] + n; // pointer\n\n          var p = 0; // loop new rows, initialize pointer\n\n          for (i = r; i < rows; i++, p++) {\n            // add value\n            matrix._values.splice(k + p, 0, value); // update matrix._index\n\n\n            matrix._index.splice(k + p, 0, i); // increment inserts\n\n\n            n++;\n          }\n        } // store number of matrix._values in matrix._ptr\n\n\n        matrix._ptr[c] = matrix._values.length;\n      }\n    } else if (rows < r) {\n      // deletes\n      var d = 0; // loop columns\n\n      for (j = 0; j < c; j++) {\n        // update matrix._ptr for current column\n        matrix._ptr[j] = matrix._ptr[j] - d; // where matrix._values start for next column\n\n        var k0 = matrix._ptr[j];\n        var k1 = matrix._ptr[j + 1] - d; // loop matrix._index\n\n        for (k = k0; k < k1; k++) {\n          // row\n          i = matrix._index[k]; // check we need to delete value and matrix._index\n\n          if (i > rows - 1) {\n            // remove value\n            matrix._values.splice(k, 1); // remove item from matrix._index\n\n\n            matrix._index.splice(k, 1); // increase deletes\n\n\n            d++;\n          }\n        }\n      } // update matrix._ptr for current column\n\n\n      matrix._ptr[j] = matrix._values.length;\n    } // update matrix._size\n\n\n    matrix._size[0] = rows;\n    matrix._size[1] = columns; // return matrix\n\n    return matrix;\n  }\n  /**\n   * Reshape the matrix to the given size. Returns a copy of the matrix when\n   * `copy=true`, otherwise return the matrix itself (reshape in place).\n   *\n   * NOTE: This might be better suited to copy by default, instead of modifying\n   *       in place. For now, it operates in place to remain consistent with\n   *       resize().\n   *\n   * @memberof SparseMatrix\n   * @param {number[]} size           The new size the matrix should have.\n   * @param {boolean} [copy]          Return a reshaped copy of the matrix\n   *\n   * @return {Matrix}                 The reshaped matrix\n   */\n\n\n  SparseMatrix.prototype.reshape = function (size, copy) {\n    // validate arguments\n    if (!isArray(size)) {\n      throw new TypeError('Array expected');\n    }\n\n    if (size.length !== 2) {\n      throw new Error('Sparse matrices can only be reshaped in two dimensions');\n    } // check sizes\n\n\n    size.forEach(function (value) {\n      if (!number.isNumber(value) || !number.isInteger(value) || value < 0) {\n        throw new TypeError('Invalid size, must contain positive integers ' + '(size: ' + string.format(size) + ')');\n      }\n    }); // m * n must not change\n\n    if (this._size[0] * this._size[1] !== size[0] * size[1]) {\n      throw new Error('Reshaping sparse matrix will result in the wrong number of elements');\n    } // matrix to reshape\n\n\n    var m = copy ? this.clone() : this; // return unchanged if the same shape\n\n    if (this._size[0] === size[0] && this._size[1] === size[1]) {\n      return m;\n    } // Convert to COO format (generate a column index)\n\n\n    var colIndex = [];\n\n    for (var i = 0; i < m._ptr.length; i++) {\n      for (var j = 0; j < m._ptr[i + 1] - m._ptr[i]; j++) {\n        colIndex.push(i);\n      }\n    } // Clone the values array\n\n\n    var values = m._values.slice(); // Clone the row index array\n\n\n    var rowIndex = m._index.slice(); // Transform the (row, column) indices\n\n\n    for (var _i = 0; _i < m._index.length; _i++) {\n      var r1 = rowIndex[_i];\n      var c1 = colIndex[_i];\n      var flat = r1 * m._size[1] + c1;\n      colIndex[_i] = flat % size[1];\n      rowIndex[_i] = Math.floor(flat / size[1]);\n    } // Now reshaping is supposed to preserve the row-major order, BUT these sparse matrices are stored\n    // in column-major order, so we have to reorder the value array now. One option is to use a multisort,\n    // sorting several arrays based on some other array.\n    // OR, we could easily just:\n    // 1. Remove all values from the matrix\n\n\n    m._values.length = 0;\n    m._index.length = 0;\n    m._ptr.length = size[1] + 1;\n    m._size = size.slice();\n\n    for (var _i2 = 0; _i2 < m._ptr.length; _i2++) {\n      m._ptr[_i2] = 0;\n    } // 2. Re-insert all elements in the proper order (simplified code from SparseMatrix.prototype.set)\n    // This step is probably the most time-consuming\n\n\n    for (var h = 0; h < values.length; h++) {\n      var _i3 = rowIndex[h];\n      var _j = colIndex[h];\n      var v = values[h];\n\n      var k = _getValueIndex(_i3, m._ptr[_j], m._ptr[_j + 1], m._index);\n\n      _insert(k, _i3, _j, v, m._values, m._index, m._ptr);\n    } // The value indices are inserted out of order, but apparently that's... still OK?\n\n\n    return m;\n  };\n  /**\n   * Create a clone of the matrix\n   * @memberof SparseMatrix\n   * @return {SparseMatrix} clone\n   */\n\n\n  SparseMatrix.prototype.clone = function () {\n    var m = new SparseMatrix({\n      values: this._values ? object.clone(this._values) : undefined,\n      index: object.clone(this._index),\n      ptr: object.clone(this._ptr),\n      size: object.clone(this._size),\n      datatype: this._datatype\n    });\n    return m;\n  };\n  /**\n   * Retrieve the size of the matrix.\n   * @memberof SparseMatrix\n   * @returns {number[]} size\n   */\n\n\n  SparseMatrix.prototype.size = function () {\n    return this._size.slice(0); // copy the Array\n  };\n  /**\n   * Create a new matrix with the results of the callback function executed on\n   * each entry of the matrix.\n   * @memberof SparseMatrix\n   * @param {Function} callback   The callback function is invoked with three\n   *                              parameters: the value of the element, the index\n   *                              of the element, and the Matrix being traversed.\n   * @param {boolean} [skipZeros] Invoke callback function for non-zero values only.\n   *\n   * @return {SparseMatrix} matrix\n   */\n\n\n  SparseMatrix.prototype.map = function (callback, skipZeros) {\n    // check it is a pattern matrix\n    if (!this._values) {\n      throw new Error('Cannot invoke map on a Pattern only matrix');\n    } // matrix instance\n\n\n    var me = this; // rows and columns\n\n    var rows = this._size[0];\n    var columns = this._size[1]; // invoke callback\n\n    var invoke = function invoke(v, i, j) {\n      // invoke callback\n      return callback(v, [i, j], me);\n    }; // invoke _map\n\n\n    return _map(this, 0, rows - 1, 0, columns - 1, invoke, skipZeros);\n  };\n  /**\n   * Create a new matrix with the results of the callback function executed on the interval\n   * [minRow..maxRow, minColumn..maxColumn].\n   */\n\n\n  function _map(matrix, minRow, maxRow, minColumn, maxColumn, callback, skipZeros) {\n    // result arrays\n    var values = [];\n    var index = [];\n    var ptr = []; // equal signature to use\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0;\n\n    if (isString(matrix._datatype)) {\n      // find signature that matches (datatype, datatype)\n      eq = typed.find(equalScalar, [matrix._datatype, matrix._datatype]) || equalScalar; // convert 0 to the same datatype\n\n      zero = typed.convert(0, matrix._datatype);\n    } // invoke callback\n\n\n    var invoke = function invoke(v, x, y) {\n      // invoke callback\n      v = callback(v, x, y); // check value != 0\n\n      if (!eq(v, zero)) {\n        // store value\n        values.push(v); // index\n\n        index.push(x);\n      }\n    }; // loop columns\n\n\n    for (var j = minColumn; j <= maxColumn; j++) {\n      // store pointer to values index\n      ptr.push(values.length); // k0 <= k < k1 where k0 = _ptr[j] && k1 = _ptr[j+1]\n\n      var k0 = matrix._ptr[j];\n      var k1 = matrix._ptr[j + 1]; // row pointer\n\n      var p = minRow; // loop k within [k0, k1[\n\n      for (var k = k0; k < k1; k++) {\n        // row index\n        var i = matrix._index[k]; // check i is in range\n\n        if (i >= minRow && i <= maxRow) {\n          // zero values\n          if (!skipZeros) {\n            for (var x = p; x < i; x++) {\n              invoke(0, x - minRow, j - minColumn);\n            }\n          } // value @ k\n\n\n          invoke(matrix._values[k], i - minRow, j - minColumn);\n        } // update pointer\n\n\n        p = i + 1;\n      } // zero values\n\n\n      if (!skipZeros) {\n        for (var y = p; y <= maxRow; y++) {\n          invoke(0, y - minRow, j - minColumn);\n        }\n      }\n    } // store number of values in ptr\n\n\n    ptr.push(values.length); // return sparse matrix\n\n    return new SparseMatrix({\n      values: values,\n      index: index,\n      ptr: ptr,\n      size: [maxRow - minRow + 1, maxColumn - minColumn + 1]\n    });\n  }\n  /**\n   * Execute a callback function on each entry of the matrix.\n   * @memberof SparseMatrix\n   * @param {Function} callback   The callback function is invoked with three\n   *                              parameters: the value of the element, the index\n   *                              of the element, and the Matrix being traversed.\n   * @param {boolean} [skipZeros] Invoke callback function for non-zero values only.\n   */\n\n\n  SparseMatrix.prototype.forEach = function (callback, skipZeros) {\n    // check it is a pattern matrix\n    if (!this._values) {\n      throw new Error('Cannot invoke forEach on a Pattern only matrix');\n    } // matrix instance\n\n\n    var me = this; // rows and columns\n\n    var rows = this._size[0];\n    var columns = this._size[1]; // loop columns\n\n    for (var j = 0; j < columns; j++) {\n      // k0 <= k < k1 where k0 = _ptr[j] && k1 = _ptr[j+1]\n      var k0 = this._ptr[j];\n      var k1 = this._ptr[j + 1]; // column pointer\n\n      var p = 0; // loop k within [k0, k1[\n\n      for (var k = k0; k < k1; k++) {\n        // row index\n        var i = this._index[k]; // check we need to process zeros\n\n        if (!skipZeros) {\n          // zero values\n          for (var x = p; x < i; x++) {\n            callback(0, [x, j], me);\n          } // eslint-disable-line standard/no-callback-literal\n\n        } // value @ k\n\n\n        callback(this._values[k], [i, j], me); // update pointer\n\n        p = i + 1;\n      } // check we need to process zeros\n\n\n      if (!skipZeros) {\n        // zero values\n        for (var y = p; y < rows; y++) {\n          callback(0, [y, j], me);\n        } // eslint-disable-line standard/no-callback-literal\n\n      }\n    }\n  };\n  /**\n   * Create an Array with a copy of the data of the SparseMatrix\n   * @memberof SparseMatrix\n   * @returns {Array} array\n   */\n\n\n  SparseMatrix.prototype.toArray = function () {\n    return _toArray(this._values, this._index, this._ptr, this._size, true);\n  };\n  /**\n   * Get the primitive value of the SparseMatrix: a two dimensions array\n   * @memberof SparseMatrix\n   * @returns {Array} array\n   */\n\n\n  SparseMatrix.prototype.valueOf = function () {\n    return _toArray(this._values, this._index, this._ptr, this._size, false);\n  };\n\n  function _toArray(values, index, ptr, size, copy) {\n    // rows and columns\n    var rows = size[0];\n    var columns = size[1]; // result\n\n    var a = []; // vars\n\n    var i, j; // initialize array\n\n    for (i = 0; i < rows; i++) {\n      a[i] = [];\n\n      for (j = 0; j < columns; j++) {\n        a[i][j] = 0;\n      }\n    } // loop columns\n\n\n    for (j = 0; j < columns; j++) {\n      // k0 <= k < k1 where k0 = _ptr[j] && k1 = _ptr[j+1]\n      var k0 = ptr[j];\n      var k1 = ptr[j + 1]; // loop k within [k0, k1[\n\n      for (var k = k0; k < k1; k++) {\n        // row index\n        i = index[k]; // set value (use one for pattern matrix)\n\n        a[i][j] = values ? copy ? object.clone(values[k]) : values[k] : 1;\n      }\n    }\n\n    return a;\n  }\n  /**\n   * Get a string representation of the matrix, with optional formatting options.\n   * @memberof SparseMatrix\n   * @param {Object | number | Function} [options]  Formatting options. See\n   *                                                lib/utils/number:format for a\n   *                                                description of the available\n   *                                                options.\n   * @returns {string} str\n   */\n\n\n  SparseMatrix.prototype.format = function (options) {\n    // rows and columns\n    var rows = this._size[0];\n    var columns = this._size[1]; // density\n\n    var density = this.density(); // rows & columns\n\n    var str = 'Sparse Matrix [' + string.format(rows, options) + ' x ' + string.format(columns, options) + '] density: ' + string.format(density, options) + '\\n'; // loop columns\n\n    for (var j = 0; j < columns; j++) {\n      // k0 <= k < k1 where k0 = _ptr[j] && k1 = _ptr[j+1]\n      var k0 = this._ptr[j];\n      var k1 = this._ptr[j + 1]; // loop k within [k0, k1[\n\n      for (var k = k0; k < k1; k++) {\n        // row index\n        var i = this._index[k]; // append value\n\n        str += '\\n    (' + string.format(i, options) + ', ' + string.format(j, options) + ') ==> ' + (this._values ? string.format(this._values[k], options) : 'X');\n      }\n    }\n\n    return str;\n  };\n  /**\n   * Get a string representation of the matrix\n   * @memberof SparseMatrix\n   * @returns {string} str\n   */\n\n\n  SparseMatrix.prototype.toString = function () {\n    return string.format(this.toArray());\n  };\n  /**\n   * Get a JSON representation of the matrix\n   * @memberof SparseMatrix\n   * @returns {Object}\n   */\n\n\n  SparseMatrix.prototype.toJSON = function () {\n    return {\n      mathjs: 'SparseMatrix',\n      values: this._values,\n      index: this._index,\n      ptr: this._ptr,\n      size: this._size,\n      datatype: this._datatype\n    };\n  };\n  /**\n   * Get the kth Matrix diagonal.\n   *\n   * @memberof SparseMatrix\n   * @param {number | BigNumber} [k=0]     The kth diagonal where the vector will retrieved.\n   *\n   * @returns {Matrix}                     The matrix vector with the diagonal values.\n   */\n\n\n  SparseMatrix.prototype.diagonal = function (k) {\n    // validate k if any\n    if (k) {\n      // convert BigNumber to a number\n      if (type.isBigNumber(k)) {\n        k = k.toNumber();\n      } // is must be an integer\n\n\n      if (!isNumber(k) || !isInteger(k)) {\n        throw new TypeError('The parameter k must be an integer number');\n      }\n    } else {\n      // default value\n      k = 0;\n    }\n\n    var kSuper = k > 0 ? k : 0;\n    var kSub = k < 0 ? -k : 0; // rows & columns\n\n    var rows = this._size[0];\n    var columns = this._size[1]; // number diagonal values\n\n    var n = Math.min(rows - kSub, columns - kSuper); // diagonal arrays\n\n    var values = [];\n    var index = [];\n    var ptr = []; // initial ptr value\n\n    ptr[0] = 0; // loop columns\n\n    for (var j = kSuper; j < columns && values.length < n; j++) {\n      // k0 <= k < k1 where k0 = _ptr[j] && k1 = _ptr[j+1]\n      var k0 = this._ptr[j];\n      var k1 = this._ptr[j + 1]; // loop x within [k0, k1[\n\n      for (var x = k0; x < k1; x++) {\n        // row index\n        var i = this._index[x]; // check row\n\n        if (i === j - kSuper + kSub) {\n          // value on this column\n          values.push(this._values[x]); // store row\n\n          index[values.length - 1] = i - kSub; // exit loop\n\n          break;\n        }\n      }\n    } // close ptr\n\n\n    ptr.push(values.length); // return matrix\n\n    return new SparseMatrix({\n      values: values,\n      index: index,\n      ptr: ptr,\n      size: [n, 1]\n    });\n  };\n  /**\n   * Generate a matrix from a JSON object\n   * @memberof SparseMatrix\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"SparseMatrix\", \"values\": [], \"index\": [], \"ptr\": [], \"size\": []}`,\n   *                       where mathjs is optional\n   * @returns {SparseMatrix}\n   */\n\n\n  SparseMatrix.fromJSON = function (json) {\n    return new SparseMatrix(json);\n  };\n  /**\n   * Create a diagonal matrix.\n   *\n   * @memberof SparseMatrix\n   * @param {Array} size                       The matrix size.\n   * @param {number | Array | Matrix } value   The values for the diagonal.\n   * @param {number | BigNumber} [k=0]         The kth diagonal where the vector will be filled in.\n   * @param {string} [datatype]                The Matrix datatype, values must be of this datatype.\n   *\n   * @returns {SparseMatrix}\n   */\n\n\n  SparseMatrix.diagonal = function (size, value, k, defaultValue, datatype) {\n    if (!isArray(size)) {\n      throw new TypeError('Array expected, size parameter');\n    }\n\n    if (size.length !== 2) {\n      throw new Error('Only two dimensions matrix are supported');\n    } // map size & validate\n\n\n    size = size.map(function (s) {\n      // check it is a big number\n      if (type.isBigNumber(s)) {\n        // convert it\n        s = s.toNumber();\n      } // validate arguments\n\n\n      if (!isNumber(s) || !isInteger(s) || s < 1) {\n        throw new Error('Size values must be positive integers');\n      }\n\n      return s;\n    }); // validate k if any\n\n    if (k) {\n      // convert BigNumber to a number\n      if (type.isBigNumber(k)) {\n        k = k.toNumber();\n      } // is must be an integer\n\n\n      if (!isNumber(k) || !isInteger(k)) {\n        throw new TypeError('The parameter k must be an integer number');\n      }\n    } else {\n      // default value\n      k = 0;\n    } // equal signature to use\n\n\n    var eq = equalScalar; // zero value\n\n    var zero = 0;\n\n    if (isString(datatype)) {\n      // find signature that matches (datatype, datatype)\n      eq = typed.find(equalScalar, [datatype, datatype]) || equalScalar; // convert 0 to the same datatype\n\n      zero = typed.convert(0, datatype);\n    }\n\n    var kSuper = k > 0 ? k : 0;\n    var kSub = k < 0 ? -k : 0; // rows and columns\n\n    var rows = size[0];\n    var columns = size[1]; // number of non-zero items\n\n    var n = Math.min(rows - kSub, columns - kSuper); // value extraction function\n\n    var _value; // check value\n\n\n    if (isArray(value)) {\n      // validate array\n      if (value.length !== n) {\n        // number of values in array must be n\n        throw new Error('Invalid value array length');\n      } // define function\n\n\n      _value = function _value(i) {\n        // return value @ i\n        return value[i];\n      };\n    } else if (type.isMatrix(value)) {\n      // matrix size\n      var ms = value.size(); // validate matrix\n\n      if (ms.length !== 1 || ms[0] !== n) {\n        // number of values in array must be n\n        throw new Error('Invalid matrix length');\n      } // define function\n\n\n      _value = function _value(i) {\n        // return value @ i\n        return value.get([i]);\n      };\n    } else {\n      // define function\n      _value = function _value() {\n        // return value\n        return value;\n      };\n    } // create arrays\n\n\n    var values = [];\n    var index = [];\n    var ptr = []; // loop items\n\n    for (var j = 0; j < columns; j++) {\n      // number of rows with value\n      ptr.push(values.length); // diagonal index\n\n      var i = j - kSuper; // check we need to set diagonal value\n\n      if (i >= 0 && i < n) {\n        // get value @ i\n        var v = _value(i); // check for zero\n\n\n        if (!eq(v, zero)) {\n          // column\n          index.push(i + kSub); // add value\n\n          values.push(v);\n        }\n      }\n    } // last value should be number of values\n\n\n    ptr.push(values.length); // create SparseMatrix\n\n    return new SparseMatrix({\n      values: values,\n      index: index,\n      ptr: ptr,\n      size: [rows, columns]\n    });\n  };\n  /**\n   * Swap rows i and j in Matrix.\n   *\n   * @memberof SparseMatrix\n   * @param {number} i       Matrix row index 1\n   * @param {number} j       Matrix row index 2\n   *\n   * @return {Matrix}        The matrix reference\n   */\n\n\n  SparseMatrix.prototype.swapRows = function (i, j) {\n    // check index\n    if (!isNumber(i) || !isInteger(i) || !isNumber(j) || !isInteger(j)) {\n      throw new Error('Row index must be positive integers');\n    } // check dimensions\n\n\n    if (this._size.length !== 2) {\n      throw new Error('Only two dimensional matrix is supported');\n    } // validate index\n\n\n    validateIndex(i, this._size[0]);\n    validateIndex(j, this._size[0]); // swap rows\n\n    SparseMatrix._swapRows(i, j, this._size[1], this._values, this._index, this._ptr); // return current instance\n\n\n    return this;\n  };\n  /**\n   * Loop rows with data in column j.\n   *\n   * @param {number} j            Column\n   * @param {Array} values        Matrix values\n   * @param {Array} index         Matrix row indeces\n   * @param {Array} ptr           Matrix column pointers\n   * @param {Function} callback   Callback function invoked for every row in column j\n   */\n\n\n  SparseMatrix._forEachRow = function (j, values, index, ptr, callback) {\n    // indeces for column j\n    var k0 = ptr[j];\n    var k1 = ptr[j + 1]; // loop\n\n    for (var k = k0; k < k1; k++) {\n      // invoke callback\n      callback(index[k], values[k]);\n    }\n  };\n  /**\n   * Swap rows x and y in Sparse Matrix data structures.\n   *\n   * @param {number} x         Matrix row index 1\n   * @param {number} y         Matrix row index 2\n   * @param {number} columns   Number of columns in matrix\n   * @param {Array} values     Matrix values\n   * @param {Array} index      Matrix row indeces\n   * @param {Array} ptr        Matrix column pointers\n   */\n\n\n  SparseMatrix._swapRows = function (x, y, columns, values, index, ptr) {\n    // loop columns\n    for (var j = 0; j < columns; j++) {\n      // k0 <= k < k1 where k0 = _ptr[j] && k1 = _ptr[j+1]\n      var k0 = ptr[j];\n      var k1 = ptr[j + 1]; // find value index @ x\n\n      var kx = _getValueIndex(x, k0, k1, index); // find value index @ x\n\n\n      var ky = _getValueIndex(y, k0, k1, index); // check both rows exist in matrix\n\n\n      if (kx < k1 && ky < k1 && index[kx] === x && index[ky] === y) {\n        // swap values (check for pattern matrix)\n        if (values) {\n          var v = values[kx];\n          values[kx] = values[ky];\n          values[ky] = v;\n        } // next column\n\n\n        continue;\n      } // check x row exist & no y row\n\n\n      if (kx < k1 && index[kx] === x && (ky >= k1 || index[ky] !== y)) {\n        // value @ x (check for pattern matrix)\n        var vx = values ? values[kx] : undefined; // insert value @ y\n\n        index.splice(ky, 0, y);\n\n        if (values) {\n          values.splice(ky, 0, vx);\n        } // remove value @ x (adjust array index if needed)\n\n\n        index.splice(ky <= kx ? kx + 1 : kx, 1);\n\n        if (values) {\n          values.splice(ky <= kx ? kx + 1 : kx, 1);\n        } // next column\n\n\n        continue;\n      } // check y row exist & no x row\n\n\n      if (ky < k1 && index[ky] === y && (kx >= k1 || index[kx] !== x)) {\n        // value @ y (check for pattern matrix)\n        var vy = values ? values[ky] : undefined; // insert value @ x\n\n        index.splice(kx, 0, x);\n\n        if (values) {\n          values.splice(kx, 0, vy);\n        } // remove value @ y (adjust array index if needed)\n\n\n        index.splice(kx <= ky ? ky + 1 : ky, 1);\n\n        if (values) {\n          values.splice(kx <= ky ? ky + 1 : ky, 1);\n        }\n      }\n    }\n  }; // register this type in the base class Matrix\n\n\n  type.Matrix._storage.sparse = SparseMatrix;\n  return SparseMatrix;\n}\n\nexports.name = 'SparseMatrix';\nexports.path = 'type';\nexports.factory = factory;\nexports.lazy = false; // no lazy loading, as we alter type.Matrix._storage","'use strict';\n\nfunction factory(type, config, load) {\n  var add = load(require('../../function/arithmetic/add'));\n  var equalScalar = load(require('../../function/relational/equalScalar'));\n  /**\n   * An ordered Sparse Accumulator is a representation for a sparse vector that includes a dense array\n   * of the vector elements and an ordered list of non-zero elements.\n   */\n\n  function Spa() {\n    if (!(this instanceof Spa)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    } // allocate vector, TODO use typed arrays\n\n\n    this._values = [];\n    this._heap = new type.FibonacciHeap();\n  }\n  /**\n   * Attach type information\n   */\n\n\n  Spa.prototype.type = 'Spa';\n  Spa.prototype.isSpa = true;\n  /**\n   * Set the value for index i.\n   *\n   * @param {number} i                       The index\n   * @param {number | BigNumber | Complex}   The value at index i\n   */\n\n  Spa.prototype.set = function (i, v) {\n    // check we have a value @ i\n    if (!this._values[i]) {\n      // insert in heap\n      var node = this._heap.insert(i, v); // set the value @ i\n\n\n      this._values[i] = node;\n    } else {\n      // update the value @ i\n      this._values[i].value = v;\n    }\n  };\n\n  Spa.prototype.get = function (i) {\n    var node = this._values[i];\n\n    if (node) {\n      return node.value;\n    }\n\n    return 0;\n  };\n\n  Spa.prototype.accumulate = function (i, v) {\n    // node @ i\n    var node = this._values[i];\n\n    if (!node) {\n      // insert in heap\n      node = this._heap.insert(i, v); // initialize value\n\n      this._values[i] = node;\n    } else {\n      // accumulate value\n      node.value = add(node.value, v);\n    }\n  };\n\n  Spa.prototype.forEach = function (from, to, callback) {\n    // references\n    var heap = this._heap;\n    var values = this._values; // nodes\n\n    var nodes = []; // node with minimum key, save it\n\n    var node = heap.extractMinimum();\n\n    if (node) {\n      nodes.push(node);\n    } // extract nodes from heap (ordered)\n\n\n    while (node && node.key <= to) {\n      // check it is in range\n      if (node.key >= from) {\n        // check value is not zero\n        if (!equalScalar(node.value, 0)) {\n          // invoke callback\n          callback(node.key, node.value, this);\n        }\n      } // extract next node, save it\n\n\n      node = heap.extractMinimum();\n\n      if (node) {\n        nodes.push(node);\n      }\n    } // reinsert all nodes in heap\n\n\n    for (var i = 0; i < nodes.length; i++) {\n      // current node\n      var n = nodes[i]; // insert node in heap\n\n      node = heap.insert(n.key, n.value); // update values\n\n      values[node.key] = node;\n    }\n  };\n\n  Spa.prototype.swap = function (i, j) {\n    // node @ i and j\n    var nodei = this._values[i];\n    var nodej = this._values[j]; // check we need to insert indeces\n\n    if (!nodei && nodej) {\n      // insert in heap\n      nodei = this._heap.insert(i, nodej.value); // remove from heap\n\n      this._heap.remove(nodej); // set values\n\n\n      this._values[i] = nodei;\n      this._values[j] = undefined;\n    } else if (nodei && !nodej) {\n      // insert in heap\n      nodej = this._heap.insert(j, nodei.value); // remove from heap\n\n      this._heap.remove(nodei); // set values\n\n\n      this._values[j] = nodej;\n      this._values[i] = undefined;\n    } else if (nodei && nodej) {\n      // swap values\n      var v = nodei.value;\n      nodei.value = nodej.value;\n      nodej.value = v;\n    }\n  };\n\n  return Spa;\n}\n\nexports.name = 'Spa';\nexports.path = 'type';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var smaller = load(require('../../function/relational/smaller'));\n  var larger = load(require('../../function/relational/larger'));\n  var oneOverLogPhi = 1.0 / Math.log((1.0 + Math.sqrt(5.0)) / 2.0);\n  /**\n   * Fibonacci Heap implementation, used interally for Matrix math.\n   * @class FibonacciHeap\n   * @constructor FibonacciHeap\n   */\n\n  function FibonacciHeap() {\n    if (!(this instanceof FibonacciHeap)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    } // initialize fields\n\n\n    this._minimum = null;\n    this._size = 0;\n  }\n  /**\n   * Attach type information\n   */\n\n\n  FibonacciHeap.prototype.type = 'FibonacciHeap';\n  FibonacciHeap.prototype.isFibonacciHeap = true;\n  /**\n   * Inserts a new data element into the heap. No heap consolidation is\n   * performed at this time, the new node is simply inserted into the root\n   * list of this heap. Running time: O(1) actual.\n   * @memberof FibonacciHeap\n   */\n\n  FibonacciHeap.prototype.insert = function (key, value) {\n    // create node\n    var node = {\n      key: key,\n      value: value,\n      degree: 0 // check we have a node in the minimum\n\n    };\n\n    if (this._minimum) {\n      // minimum node\n      var minimum = this._minimum; // update left & right of node\n\n      node.left = minimum;\n      node.right = minimum.right;\n      minimum.right = node;\n      node.right.left = node; // update minimum node in heap if needed\n\n      if (smaller(key, minimum.key)) {\n        // node has a smaller key, use it as minimum\n        this._minimum = node;\n      }\n    } else {\n      // set left & right\n      node.left = node;\n      node.right = node; // this is the first node\n\n      this._minimum = node;\n    } // increment number of nodes in heap\n\n\n    this._size++; // return node\n\n    return node;\n  };\n  /**\n   * Returns the number of nodes in heap. Running time: O(1) actual.\n   * @memberof FibonacciHeap\n   */\n\n\n  FibonacciHeap.prototype.size = function () {\n    return this._size;\n  };\n  /**\n   * Removes all elements from this heap.\n   * @memberof FibonacciHeap\n   */\n\n\n  FibonacciHeap.prototype.clear = function () {\n    this._minimum = null;\n    this._size = 0;\n  };\n  /**\n   * Returns true if the heap is empty, otherwise false.\n   * @memberof FibonacciHeap\n   */\n\n\n  FibonacciHeap.prototype.isEmpty = function () {\n    return this._size === 0;\n  };\n  /**\n   * Extracts the node with minimum key from heap. Amortized running\n   * time: O(log n).\n   * @memberof FibonacciHeap\n   */\n\n\n  FibonacciHeap.prototype.extractMinimum = function () {\n    // node to remove\n    var node = this._minimum; // check we have a minimum\n\n    if (node === null) {\n      return node;\n    } // current minimum\n\n\n    var minimum = this._minimum; // get number of children\n\n    var numberOfChildren = node.degree; // pointer to the first child\n\n    var x = node.child; // for each child of node do...\n\n    while (numberOfChildren > 0) {\n      // store node in right side\n      var tempRight = x.right; // remove x from child list\n\n      x.left.right = x.right;\n      x.right.left = x.left; // add x to root list of heap\n\n      x.left = minimum;\n      x.right = minimum.right;\n      minimum.right = x;\n      x.right.left = x; // set Parent[x] to null\n\n      x.parent = null;\n      x = tempRight;\n      numberOfChildren--;\n    } // remove node from root list of heap\n\n\n    node.left.right = node.right;\n    node.right.left = node.left; // update minimum\n\n    if (node === node.right) {\n      // empty\n      minimum = null;\n    } else {\n      // update minimum\n      minimum = node.right; // we need to update the pointer to the root with minimum key\n\n      minimum = _findMinimumNode(minimum, this._size);\n    } // decrement size of heap\n\n\n    this._size--; // update minimum\n\n    this._minimum = minimum; // return node\n\n    return node;\n  };\n  /**\n   * Removes a node from the heap given the reference to the node. The trees\n   * in the heap will be consolidated, if necessary. This operation may fail\n   * to remove the correct element if there are nodes with key value -Infinity.\n   * Running time: O(log n) amortized.\n   * @memberof FibonacciHeap\n   */\n\n\n  FibonacciHeap.prototype.remove = function (node) {\n    // decrease key value\n    this._minimum = _decreaseKey(this._minimum, node, -1); // remove the smallest\n\n    this.extractMinimum();\n  };\n  /**\n   * Decreases the key value for a heap node, given the new value to take on.\n   * The structure of the heap may be changed and will not be consolidated.\n   * Running time: O(1) amortized.\n   * @memberof FibonacciHeap\n   */\n\n\n  function _decreaseKey(minimum, node, key) {\n    // set node key\n    node.key = key; // get parent node\n\n    var parent = node.parent;\n\n    if (parent && smaller(node.key, parent.key)) {\n      // remove node from parent\n      _cut(minimum, node, parent); // remove all nodes from parent to the root parent\n\n\n      _cascadingCut(minimum, parent);\n    } // update minimum node if needed\n\n\n    if (smaller(node.key, minimum.key)) {\n      minimum = node;\n    } // return minimum\n\n\n    return minimum;\n  }\n  /**\n   * The reverse of the link operation: removes node from the child list of parent.\n   * This method assumes that min is non-null. Running time: O(1).\n   * @memberof FibonacciHeap\n   */\n\n\n  function _cut(minimum, node, parent) {\n    // remove node from parent children and decrement Degree[parent]\n    node.left.right = node.right;\n    node.right.left = node.left;\n    parent.degree--; // reset y.child if necessary\n\n    if (parent.child === node) {\n      parent.child = node.right;\n    } // remove child if degree is 0\n\n\n    if (parent.degree === 0) {\n      parent.child = null;\n    } // add node to root list of heap\n\n\n    node.left = minimum;\n    node.right = minimum.right;\n    minimum.right = node;\n    node.right.left = node; // set parent[node] to null\n\n    node.parent = null; // set mark[node] to false\n\n    node.mark = false;\n  }\n  /**\n   * Performs a cascading cut operation. This cuts node from its parent and then\n   * does the same for its parent, and so on up the tree.\n   * Running time: O(log n); O(1) excluding the recursion.\n   * @memberof FibonacciHeap\n   */\n\n\n  function _cascadingCut(minimum, node) {\n    // store parent node\n    var parent = node.parent; // if there's a parent...\n\n    if (!parent) {\n      return;\n    } // if node is unmarked, set it marked\n\n\n    if (!node.mark) {\n      node.mark = true;\n    } else {\n      // it's marked, cut it from parent\n      _cut(minimum, node, parent); // cut its parent as well\n\n\n      _cascadingCut(parent);\n    }\n  }\n  /**\n   * Make the first node a child of the second one. Running time: O(1) actual.\n   * @memberof FibonacciHeap\n   */\n\n\n  var _linkNodes = function _linkNodes(node, parent) {\n    // remove node from root list of heap\n    node.left.right = node.right;\n    node.right.left = node.left; // make node a Child of parent\n\n    node.parent = parent;\n\n    if (!parent.child) {\n      parent.child = node;\n      node.right = node;\n      node.left = node;\n    } else {\n      node.left = parent.child;\n      node.right = parent.child.right;\n      parent.child.right = node;\n      node.right.left = node;\n    } // increase degree[parent]\n\n\n    parent.degree++; // set mark[node] false\n\n    node.mark = false;\n  };\n\n  function _findMinimumNode(minimum, size) {\n    // to find trees of the same degree efficiently we use an array of length O(log n) in which we keep a pointer to one root of each degree\n    var arraySize = Math.floor(Math.log(size) * oneOverLogPhi) + 1; // create list with initial capacity\n\n    var array = new Array(arraySize); // find the number of root nodes.\n\n    var numRoots = 0;\n    var x = minimum;\n\n    if (x) {\n      numRoots++;\n      x = x.right;\n\n      while (x !== minimum) {\n        numRoots++;\n        x = x.right;\n      }\n    } // vars\n\n\n    var y; // For each node in root list do...\n\n    while (numRoots > 0) {\n      // access this node's degree..\n      var d = x.degree; // get next node\n\n      var next = x.right; // check if there is a node already in array with the same degree\n\n      while (true) {\n        // get node with the same degree is any\n        y = array[d];\n\n        if (!y) {\n          break;\n        } // make one node with the same degree a child of the other, do this based on the key value.\n\n\n        if (larger(x.key, y.key)) {\n          var temp = y;\n          y = x;\n          x = temp;\n        } // make y a child of x\n\n\n        _linkNodes(y, x); // we have handled this degree, go to next one.\n\n\n        array[d] = null;\n        d++;\n      } // save this node for later when we might encounter another of the same degree.\n\n\n      array[d] = x; // move forward through list.\n\n      x = next;\n      numRoots--;\n    } // Set min to null (effectively losing the root list) and reconstruct the root list from the array entries in array[].\n\n\n    minimum = null; // loop nodes in array\n\n    for (var i = 0; i < arraySize; i++) {\n      // get current node\n      y = array[i];\n\n      if (!y) {\n        continue;\n      } // check if we have a linked list\n\n\n      if (minimum) {\n        // First remove node from root list.\n        y.left.right = y.right;\n        y.right.left = y.left; // now add to root list, again.\n\n        y.left = minimum;\n        y.right = minimum.right;\n        minimum.right = y;\n        y.right.left = y; // check if this is a new min.\n\n        if (smaller(y.key, minimum.key)) {\n          minimum = y;\n        }\n      } else {\n        minimum = y;\n      }\n    }\n\n    return minimum;\n  }\n\n  return FibonacciHeap;\n}\n\nexports.name = 'FibonacciHeap';\nexports.path = 'type';\nexports.factory = factory;","'use strict';\n\nvar util = require('../../utils/index');\n\nvar string = util.string;\nvar object = util.object;\nvar isArray = Array.isArray;\nvar isString = string.isString;\n\nfunction factory(type, config, load) {\n  var DenseMatrix = load(require('./DenseMatrix'));\n  var smaller = load(require('../../function/relational/smaller'));\n\n  function ImmutableDenseMatrix(data, datatype) {\n    if (!(this instanceof ImmutableDenseMatrix)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    if (datatype && !isString(datatype)) {\n      throw new Error('Invalid datatype: ' + datatype);\n    }\n\n    if (type.isMatrix(data) || isArray(data)) {\n      // use DenseMatrix implementation\n      var matrix = new DenseMatrix(data, datatype); // internal structures\n\n      this._data = matrix._data;\n      this._size = matrix._size;\n      this._datatype = matrix._datatype;\n      this._min = null;\n      this._max = null;\n    } else if (data && isArray(data.data) && isArray(data.size)) {\n      // initialize fields from JSON representation\n      this._data = data.data;\n      this._size = data.size;\n      this._datatype = data.datatype;\n      this._min = typeof data.min !== 'undefined' ? data.min : null;\n      this._max = typeof data.max !== 'undefined' ? data.max : null;\n    } else if (data) {\n      // unsupported type\n      throw new TypeError('Unsupported type of data (' + util.types.type(data) + ')');\n    } else {\n      // nothing provided\n      this._data = [];\n      this._size = [0];\n      this._datatype = datatype;\n      this._min = null;\n      this._max = null;\n    }\n  }\n\n  ImmutableDenseMatrix.prototype = new DenseMatrix();\n  /**\n   * Attach type information\n   */\n\n  ImmutableDenseMatrix.prototype.type = 'ImmutableDenseMatrix';\n  ImmutableDenseMatrix.prototype.isImmutableDenseMatrix = true;\n  /**\n   * Get a subset of the matrix, or replace a subset of the matrix.\n   *\n   * Usage:\n   *     const subset = matrix.subset(index)               // retrieve subset\n   *     const value = matrix.subset(index, replacement)   // replace subset\n   *\n   * @param {Index} index\n   * @param {Array | ImmutableDenseMatrix | *} [replacement]\n   * @param {*} [defaultValue=0]      Default value, filled in on new entries when\n   *                                  the matrix is resized. If not provided,\n   *                                  new matrix elements will be filled with zeros.\n   */\n\n  ImmutableDenseMatrix.prototype.subset = function (index) {\n    switch (arguments.length) {\n      case 1:\n        // use base implementation\n        var m = DenseMatrix.prototype.subset.call(this, index); // check result is a matrix\n\n        if (type.isMatrix(m)) {\n          // return immutable matrix\n          return new ImmutableDenseMatrix({\n            data: m._data,\n            size: m._size,\n            datatype: m._datatype\n          });\n        }\n\n        return m;\n      // intentional fall through\n\n      case 2:\n      case 3:\n        throw new Error('Cannot invoke set subset on an Immutable Matrix instance');\n\n      default:\n        throw new SyntaxError('Wrong number of arguments');\n    }\n  };\n  /**\n   * Replace a single element in the matrix.\n   * @param {Number[]} index   Zero-based index\n   * @param {*} value\n   * @param {*} [defaultValue]        Default value, filled in on new entries when\n   *                                  the matrix is resized. If not provided,\n   *                                  new matrix elements will be left undefined.\n   * @return {ImmutableDenseMatrix} self\n   */\n\n\n  ImmutableDenseMatrix.prototype.set = function () {\n    throw new Error('Cannot invoke set on an Immutable Matrix instance');\n  };\n  /**\n   * Resize the matrix to the given size. Returns a copy of the matrix when\n   * `copy=true`, otherwise return the matrix itself (resize in place).\n   *\n   * @param {Number[]} size           The new size the matrix should have.\n   * @param {*} [defaultValue=0]      Default value, filled in on new entries.\n   *                                  If not provided, the matrix elements will\n   *                                  be filled with zeros.\n   * @param {boolean} [copy]          Return a resized copy of the matrix\n   *\n   * @return {Matrix}                 The resized matrix\n   */\n\n\n  ImmutableDenseMatrix.prototype.resize = function () {\n    throw new Error('Cannot invoke resize on an Immutable Matrix instance');\n  };\n  /**\n   * Disallows reshaping in favor of immutability.\n   *\n   * @throws {Error} Operation not allowed\n   */\n\n\n  ImmutableDenseMatrix.prototype.reshape = function () {\n    throw new Error('Cannot invoke reshape on an Immutable Matrix instance');\n  };\n  /**\n   * Create a clone of the matrix\n   * @return {ImmutableDenseMatrix} clone\n   */\n\n\n  ImmutableDenseMatrix.prototype.clone = function () {\n    var m = new ImmutableDenseMatrix({\n      data: object.clone(this._data),\n      size: object.clone(this._size),\n      datatype: this._datatype\n    });\n    return m;\n  };\n  /**\n   * Get a JSON representation of the matrix\n   * @returns {Object}\n   */\n\n\n  ImmutableDenseMatrix.prototype.toJSON = function () {\n    return {\n      mathjs: 'ImmutableDenseMatrix',\n      data: this._data,\n      size: this._size,\n      datatype: this._datatype\n    };\n  };\n  /**\n   * Generate a matrix from a JSON object\n   * @param {Object} json  An object structured like\n   *                       `{\"mathjs\": \"ImmutableDenseMatrix\", data: [], size: []}`,\n   *                       where mathjs is optional\n   * @returns {ImmutableDenseMatrix}\n   */\n\n\n  ImmutableDenseMatrix.fromJSON = function (json) {\n    return new ImmutableDenseMatrix(json);\n  };\n  /**\n   * Swap rows i and j in Matrix.\n   *\n   * @param {Number} i       Matrix row index 1\n   * @param {Number} j       Matrix row index 2\n   *\n   * @return {Matrix}        The matrix reference\n   */\n\n\n  ImmutableDenseMatrix.prototype.swapRows = function () {\n    throw new Error('Cannot invoke swapRows on an Immutable Matrix instance');\n  };\n  /**\n   * Calculate the minimum value in the set\n   * @return {Number | undefined} min\n   */\n\n\n  ImmutableDenseMatrix.prototype.min = function () {\n    // check min has been calculated before\n    if (this._min === null) {\n      // minimum\n      var m = null; // compute min\n\n      this.forEach(function (v) {\n        if (m === null || smaller(v, m)) {\n          m = v;\n        }\n      });\n      this._min = m !== null ? m : undefined;\n    }\n\n    return this._min;\n  };\n  /**\n   * Calculate the maximum value in the set\n   * @return {Number | undefined} max\n   */\n\n\n  ImmutableDenseMatrix.prototype.max = function () {\n    // check max has been calculated before\n    if (this._max === null) {\n      // maximum\n      var m = null; // compute max\n\n      this.forEach(function (v) {\n        if (m === null || smaller(m, v)) {\n          m = v;\n        }\n      });\n      this._max = m !== null ? m : undefined;\n    }\n\n    return this._max;\n  }; // exports\n\n\n  return ImmutableDenseMatrix;\n}\n\nexports.name = 'ImmutableDenseMatrix';\nexports.path = 'type';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create an index. An Index can store ranges having start, step, and end\n   * for multiple dimensions.\n   * Matrix.get, Matrix.set, and math.subset accept an Index as input.\n   *\n   * Syntax:\n   *\n   *     math.index(range1, range2, ...)\n   *\n   * Where each range can be any of:\n   *\n   * - A number\n   * - A string for getting/setting an object property\n   * - An instance of `Range`\n   * - A one-dimensional Array or a Matrix with numbers\n   *\n   * Indexes must be zero-based, integer numbers.\n   *\n   * Examples:\n   *\n   *    const math = require('mathjs')\n   *\n   *    const b = [1, 2, 3, 4, 5]\n   *    math.subset(b, math.index([1, 2, 3]))     // returns [2, 3, 4]\n   *\n   *    const a = math.matrix([[1, 2], [3, 4]])\n   *    a.subset(math.index(0, 1))             // returns 2\n   *\n   * See also:\n   *\n   *    bignumber, boolean, complex, matrix, number, string, unit\n   *\n   * @param {...*} ranges   Zero or more ranges or numbers.\n   * @return {Index}        Returns the created index\n   */\n  return typed('index', {\n    '...number | string | BigNumber | Range | Array | Matrix': function numberStringBigNumberRangeArrayMatrix(args) {\n      var ranges = args.map(function (arg) {\n        if (type.isBigNumber(arg)) {\n          return arg.toNumber(); // convert BigNumber to Number\n        } else if (Array.isArray(arg) || type.isMatrix(arg)) {\n          return arg.map(function (elem) {\n            // convert BigNumber to Number\n            return type.isBigNumber(elem) ? elem.toNumber() : elem;\n          });\n        } else {\n          return arg;\n        }\n      });\n      var res = new type.Index();\n      type.Index.apply(res, ranges);\n      return res;\n    }\n  });\n}\n\nexports.name = 'index';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Create a Sparse Matrix. The function creates a new `math.type.Matrix` object from\n   * an `Array`. A Matrix has utility functions to manipulate the data in the\n   * matrix, like getting the size and getting or setting values in the matrix.\n   *\n   * Syntax:\n   *\n   *    math.sparse()               // creates an empty sparse matrix.\n   *    math.sparse(data)           // creates a sparse matrix with initial data.\n   *    math.sparse(data, 'number') // creates a sparse matrix with initial data, number datatype.\n   *\n   * Examples:\n   *\n   *    let m = math.sparse([[1, 2], [3, 4]])\n   *    m.size()                        // Array [2, 2]\n   *    m.resize([3, 2], 5)\n   *    m.valueOf()                     // Array [[1, 2], [3, 4], [5, 5]]\n   *    m.get([1, 0])                    // number 3\n   *\n   * See also:\n   *\n   *    bignumber, boolean, complex, index, number, string, unit, matrix\n   *\n   * @param {Array | Matrix} [data]    A two dimensional array\n   *\n   * @return {Matrix} The created matrix\n   */\n\n  var sparse = typed('sparse', {\n    '': function _() {\n      return new SparseMatrix([]);\n    },\n    'string': function string(datatype) {\n      return new SparseMatrix([], datatype);\n    },\n    'Array | Matrix': function ArrayMatrix(data) {\n      return new SparseMatrix(data);\n    },\n    'Array | Matrix, string': function ArrayMatrixString(data, datatype) {\n      return new SparseMatrix(data, datatype);\n    }\n  });\n  sparse.toTex = {\n    0: '\\\\begin{bsparse}\\\\end{bsparse}',\n    1: \"\\\\left(${args[0]}\\\\right)\"\n  };\n  return sparse;\n}\n\nexports.name = 'sparse';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [// type\nrequire('./ResultSet')];","'use strict';\n\nvar deepMap = require('./../utils/collection/deepMap');\n\nvar number = require('../utils/number');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create a string or convert any object into a string.\n   * Elements of Arrays and Matrices are processed element wise.\n   *\n   * Syntax:\n   *\n   *    math.string(value)\n   *\n   * Examples:\n   *\n   *    math.string(4.2)               // returns string '4.2'\n   *    math.string(math.complex(3, 2) // returns string '3 + 2i'\n   *\n   *    const u = math.unit(5, 'km')\n   *    math.string(u.to('m'))         // returns string '5000 m'\n   *\n   *    math.string([true, false])     // returns ['true', 'false']\n   *\n   * See also:\n   *\n   *    bignumber, boolean, complex, index, matrix, number, unit\n   *\n   * @param {* | Array | Matrix | null} [value]  A value to convert to a string\n   * @return {string | Array | Matrix} The created string\n   */\n  var string = typed('string', {\n    '': function _() {\n      return '';\n    },\n    'number': number.format,\n    'null': function _null(x) {\n      return 'null';\n    },\n    'boolean': function boolean(x) {\n      return x + '';\n    },\n    'string': function string(x) {\n      return x;\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, string);\n    },\n    'any': function any(x) {\n      return String(x);\n    }\n  });\n  string.toTex = {\n    0: '\\\\mathtt{\"\"}',\n    1: \"\\\\mathrm{string}\\\\left(${args[0]}\\\\right)\"\n  };\n  return string;\n}\n\nexports.name = 'string';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [// type\nrequire('./Unit'), // construction function\nrequire('./function/unit'), // create new units\nrequire('./function/createUnit'), // split units\nrequire('./function/splitUnit'), // physical constants\nrequire('./physicalConstants')];","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar endsWith = require('../../utils/string').endsWith;\n\nvar clone = require('../../utils/object').clone;\n\nvar constants = require('../../utils/bignumber/constants');\n\nfunction factory(type, config, load, typed, math) {\n  var add = load(require('../../function/arithmetic/addScalar'));\n  var subtract = load(require('../../function/arithmetic/subtract'));\n  var multiply = load(require('../../function/arithmetic/multiplyScalar'));\n  var divide = load(require('../../function/arithmetic/divideScalar'));\n  var pow = load(require('../../function/arithmetic/pow'));\n  var abs = load(require('../../function/arithmetic/abs'));\n  var fix = load(require('../../function/arithmetic/fix'));\n  var round = load(require('../../function/arithmetic/round'));\n  var equal = load(require('../../function/relational/equal'));\n  var isNumeric = load(require('../../function/utils/isNumeric'));\n  var format = load(require('../../function/string/format'));\n  var getTypeOf = load(require('../../function/utils/typeof'));\n  var toNumber = load(require('../../type/number'));\n  var Complex = load(require('../../type/complex/Complex'));\n  /**\n   * A unit can be constructed in the following ways:\n   *\n   *     const a = new Unit(value, name)\n   *     const b = new Unit(null, name)\n   *     const c = Unit.parse(str)\n   *\n   * Example usage:\n   *\n   *     const a = new Unit(5, 'cm')               // 50 mm\n   *     const b = Unit.parse('23 kg')             // 23 kg\n   *     const c = math.in(a, new Unit(null, 'm')  // 0.05 m\n   *     const d = new Unit(9.81, \"m/s^2\")         // 9.81 m/s^2\n   *\n   * @class Unit\n   * @constructor Unit\n   * @param {number | BigNumber | Fraction | Complex | boolean} [value]  A value like 5.2\n   * @param {string} [name]   A unit name like \"cm\" or \"inch\", or a derived unit of the form: \"u1[^ex1] [u2[^ex2] ...] [/ u3[^ex3] [u4[^ex4]]]\", such as \"kg m^2/s^2\", where each unit appearing after the forward slash is taken to be in the denominator. \"kg m^2 s^-2\" is a synonym and is also acceptable. Any of the units can include a prefix.\n   */\n\n  function Unit(value, name) {\n    if (!(this instanceof Unit)) {\n      throw new Error('Constructor must be called with the new operator');\n    }\n\n    if (!(value === null || value === undefined || isNumeric(value) || type.isComplex(value))) {\n      throw new TypeError('First parameter in Unit constructor must be number, BigNumber, Fraction, Complex, or undefined');\n    }\n\n    if (name !== undefined && (typeof name !== 'string' || name === '')) {\n      throw new TypeError('Second parameter in Unit constructor must be a string');\n    }\n\n    if (name !== undefined) {\n      var u = Unit.parse(name);\n      this.units = u.units;\n      this.dimensions = u.dimensions;\n    } else {\n      this.units = [{\n        unit: UNIT_NONE,\n        prefix: PREFIXES.NONE,\n        // link to a list with supported prefixes\n        power: 0\n      }];\n      this.dimensions = [];\n\n      for (var i = 0; i < BASE_DIMENSIONS.length; i++) {\n        this.dimensions[i] = 0;\n      }\n    }\n\n    this.value = value !== undefined && value !== null ? this._normalize(value) : null;\n    this.fixPrefix = false; // if true, function format will not search for the\n    // best prefix but leave it as initially provided.\n    // fixPrefix is set true by the method Unit.to\n    // The justification behind this is that if the constructor is explicitly called,\n    // the caller wishes the units to be returned exactly as he supplied.\n\n    this.skipAutomaticSimplification = true;\n  }\n  /**\n   * Attach type information\n   */\n\n\n  Unit.prototype.type = 'Unit';\n  Unit.prototype.isUnit = true; // private variables and functions for the Unit parser\n\n  var text, index, c;\n\n  function skipWhitespace() {\n    while (c === ' ' || c === '\\t') {\n      next();\n    }\n  }\n\n  function isDigitDot(c) {\n    return c >= '0' && c <= '9' || c === '.';\n  }\n\n  function isDigit(c) {\n    return c >= '0' && c <= '9';\n  }\n\n  function next() {\n    index++;\n    c = text.charAt(index);\n  }\n\n  function revert(oldIndex) {\n    index = oldIndex;\n    c = text.charAt(index);\n  }\n\n  function parseNumber() {\n    var number = '';\n    var oldIndex;\n    oldIndex = index;\n\n    if (c === '+') {\n      next();\n    } else if (c === '-') {\n      number += c;\n      next();\n    }\n\n    if (!isDigitDot(c)) {\n      // a + or - must be followed by a digit\n      revert(oldIndex);\n      return null;\n    } // get number, can have a single dot\n\n\n    if (c === '.') {\n      number += c;\n      next();\n\n      if (!isDigit(c)) {\n        // this is no legal number, it is just a dot\n        revert(oldIndex);\n        return null;\n      }\n    } else {\n      while (isDigit(c)) {\n        number += c;\n        next();\n      }\n\n      if (c === '.') {\n        number += c;\n        next();\n      }\n    }\n\n    while (isDigit(c)) {\n      number += c;\n      next();\n    } // check for exponential notation like \"2.3e-4\" or \"1.23e50\"\n\n\n    if (c === 'E' || c === 'e') {\n      // The grammar branches here. This could either be part of an exponent or the start of a unit that begins with the letter e, such as \"4exabytes\"\n      var tentativeNumber = '';\n      var tentativeIndex = index;\n      tentativeNumber += c;\n      next();\n\n      if (c === '+' || c === '-') {\n        tentativeNumber += c;\n        next();\n      } // Scientific notation MUST be followed by an exponent (otherwise we assume it is not scientific notation)\n\n\n      if (!isDigit(c)) {\n        // The e or E must belong to something else, so return the number without the e or E.\n        revert(tentativeIndex);\n        return number;\n      } // We can now safely say that this is scientific notation.\n\n\n      number = number + tentativeNumber;\n\n      while (isDigit(c)) {\n        number += c;\n        next();\n      }\n    }\n\n    return number;\n  }\n\n  function parseUnit() {\n    var unitName = ''; // Alphanumeric characters only; matches [a-zA-Z0-9]\n\n    var code = text.charCodeAt(index);\n\n    while (code >= 48 && code <= 57 || code >= 65 && code <= 90 || code >= 97 && code <= 122) {\n      unitName += c;\n      next();\n      code = text.charCodeAt(index);\n    } // Must begin with [a-zA-Z]\n\n\n    code = unitName.charCodeAt(0);\n\n    if (code >= 65 && code <= 90 || code >= 97 && code <= 122) {\n      return unitName || null;\n    } else {\n      return null;\n    }\n  }\n\n  function parseCharacter(toFind) {\n    if (c === toFind) {\n      next();\n      return toFind;\n    } else {\n      return null;\n    }\n  }\n  /**\n   * Parse a string into a unit. The value of the unit is parsed as number,\n   * BigNumber, or Fraction depending on the math.js config setting `number`.\n   *\n   * Throws an exception if the provided string does not contain a valid unit or\n   * cannot be parsed.\n   * @memberof Unit\n   * @param {string} str        A string like \"5.2 inch\", \"4e2 cm/s^2\"\n   * @return {Unit} unit\n   */\n\n\n  Unit.parse = function (str, options) {\n    options = options || {};\n    text = str;\n    index = -1;\n    c = '';\n\n    if (typeof text !== 'string') {\n      throw new TypeError('Invalid argument in Unit.parse, string expected');\n    }\n\n    var unit = new Unit();\n    unit.units = [];\n    var powerMultiplierCurrent = 1;\n    var expectingUnit = false; // A unit should follow this pattern:\n    // [number] ...[ [*/] unit[^number] ]\n    // unit[^number] ... [ [*/] unit[^number] ]\n    // Rules:\n    // number is any floating point number.\n    // unit is any alphanumeric string beginning with an alpha. Units with names like e3 should be avoided because they look like the exponent of a floating point number!\n    // The string may optionally begin with a number.\n    // Each unit may optionally be followed by ^number.\n    // Whitespace or a forward slash is recommended between consecutive units, although the following technically is parseable:\n    //   2m^2kg/s^2\n    // it is not good form. If a unit starts with e, then it could be confused as a floating point number:\n    //   4erg\n\n    next();\n    skipWhitespace(); // Optional number at the start of the string\n\n    var valueStr = parseNumber();\n    var value = null;\n\n    if (valueStr) {\n      if (config.number === 'BigNumber') {\n        value = new type.BigNumber(valueStr);\n      } else if (config.number === 'Fraction') {\n        value = new type.Fraction(valueStr);\n      } else {\n        // number\n        value = parseFloat(valueStr);\n      }\n\n      skipWhitespace(); // Whitespace is not required here\n      // handle multiplication or division right after the value, like '1/s'\n\n      if (parseCharacter('*')) {\n        powerMultiplierCurrent = 1;\n        expectingUnit = true;\n      } else if (parseCharacter('/')) {\n        powerMultiplierCurrent = -1;\n        expectingUnit = true;\n      }\n    } // Stack to keep track of powerMultipliers applied to each parentheses group\n\n\n    var powerMultiplierStack = []; // Running product of all elements in powerMultiplierStack\n\n    var powerMultiplierStackProduct = 1;\n\n    while (true) {\n      skipWhitespace(); // Check for and consume opening parentheses, pushing powerMultiplierCurrent to the stack\n      // A '(' will always appear directly before a unit.\n\n      while (c === '(') {\n        powerMultiplierStack.push(powerMultiplierCurrent);\n        powerMultiplierStackProduct *= powerMultiplierCurrent;\n        powerMultiplierCurrent = 1;\n        next();\n        skipWhitespace();\n      } // Is there something here?\n\n\n      var uStr = void 0;\n\n      if (c) {\n        var oldC = c;\n        uStr = parseUnit();\n\n        if (uStr === null) {\n          throw new SyntaxError('Unexpected \"' + oldC + '\" in \"' + text + '\" at index ' + index.toString());\n        }\n      } else {\n        // End of input.\n        break;\n      } // Verify the unit exists and get the prefix (if any)\n\n\n      var res = _findUnit(uStr);\n\n      if (res === null) {\n        // Unit not found.\n        throw new SyntaxError('Unit \"' + uStr + '\" not found.');\n      }\n\n      var power = powerMultiplierCurrent * powerMultiplierStackProduct; // Is there a \"^ number\"?\n\n      skipWhitespace();\n\n      if (parseCharacter('^')) {\n        skipWhitespace();\n        var p = parseNumber();\n\n        if (p === null) {\n          // No valid number found for the power!\n          throw new SyntaxError('In \"' + str + '\", \"^\" must be followed by a floating-point number');\n        }\n\n        power *= p;\n      } // Add the unit to the list\n\n\n      unit.units.push({\n        unit: res.unit,\n        prefix: res.prefix,\n        power: power\n      });\n\n      for (var i = 0; i < BASE_DIMENSIONS.length; i++) {\n        unit.dimensions[i] += (res.unit.dimensions[i] || 0) * power;\n      } // Check for and consume closing parentheses, popping from the stack.\n      // A ')' will always follow a unit.\n\n\n      skipWhitespace();\n\n      while (c === ')') {\n        if (powerMultiplierStack.length === 0) {\n          throw new SyntaxError('Unmatched \")\" in \"' + text + '\" at index ' + index.toString());\n        }\n\n        powerMultiplierStackProduct /= powerMultiplierStack.pop();\n        next();\n        skipWhitespace();\n      } // \"*\" and \"/\" should mean we are expecting something to come next.\n      // Is there a forward slash? If so, negate powerMultiplierCurrent. The next unit or paren group is in the denominator.\n\n\n      expectingUnit = false;\n\n      if (parseCharacter('*')) {\n        // explicit multiplication\n        powerMultiplierCurrent = 1;\n        expectingUnit = true;\n      } else if (parseCharacter('/')) {\n        // division\n        powerMultiplierCurrent = -1;\n        expectingUnit = true;\n      } else {\n        // implicit multiplication\n        powerMultiplierCurrent = 1;\n      } // Replace the unit into the auto unit system\n\n\n      if (res.unit.base) {\n        var baseDim = res.unit.base.key;\n        UNIT_SYSTEMS.auto[baseDim] = {\n          unit: res.unit,\n          prefix: res.prefix\n        };\n      }\n    } // Has the string been entirely consumed?\n\n\n    skipWhitespace();\n\n    if (c) {\n      throw new SyntaxError('Could not parse: \"' + str + '\"');\n    } // Is there a trailing slash?\n\n\n    if (expectingUnit) {\n      throw new SyntaxError('Trailing characters: \"' + str + '\"');\n    } // Is the parentheses stack empty?\n\n\n    if (powerMultiplierStack.length !== 0) {\n      throw new SyntaxError('Unmatched \"(\" in \"' + text + '\"');\n    } // Are there any units at all?\n\n\n    if (unit.units.length === 0 && !options.allowNoUnits) {\n      throw new SyntaxError('\"' + str + '\" contains no units');\n    }\n\n    unit.value = value !== undefined ? unit._normalize(value) : null;\n    return unit;\n  };\n  /**\n   * create a copy of this unit\n   * @memberof Unit\n   * @return {Unit} Returns a cloned version of the unit\n   */\n\n\n  Unit.prototype.clone = function () {\n    var unit = new Unit();\n    unit.fixPrefix = this.fixPrefix;\n    unit.skipAutomaticSimplification = this.skipAutomaticSimplification;\n    unit.value = clone(this.value);\n    unit.dimensions = this.dimensions.slice(0);\n    unit.units = [];\n\n    for (var i = 0; i < this.units.length; i++) {\n      unit.units[i] = {};\n\n      for (var p in this.units[i]) {\n        if (this.units[i].hasOwnProperty(p)) {\n          unit.units[i][p] = this.units[i][p];\n        }\n      }\n    }\n\n    return unit;\n  };\n  /**\n   * Return whether the unit is derived (such as m/s, or cm^2, but not N)\n   * @memberof Unit\n   * @return {boolean} True if the unit is derived\n   */\n\n\n  Unit.prototype._isDerived = function () {\n    if (this.units.length === 0) {\n      return false;\n    }\n\n    return this.units.length > 1 || Math.abs(this.units[0].power - 1.0) > 1e-15;\n  };\n  /**\n   * Normalize a value, based on its currently set unit(s)\n   * @memberof Unit\n   * @param {number | BigNumber | Fraction | boolean} value\n   * @return {number | BigNumber | Fraction | boolean} normalized value\n   * @private\n   */\n\n\n  Unit.prototype._normalize = function (value) {\n    var unitValue, unitOffset, unitPower, unitPrefixValue;\n    var convert;\n\n    if (value === null || value === undefined || this.units.length === 0) {\n      return value;\n    } else if (this._isDerived()) {\n      // This is a derived unit, so do not apply offsets.\n      // For example, with J kg^-1 degC^-1 you would NOT want to apply the offset.\n      var res = value;\n      convert = Unit._getNumberConverter(getTypeOf(value)); // convert to Fraction or BigNumber if needed\n\n      for (var i = 0; i < this.units.length; i++) {\n        unitValue = convert(this.units[i].unit.value);\n        unitPrefixValue = convert(this.units[i].prefix.value);\n        unitPower = convert(this.units[i].power);\n        res = multiply(res, pow(multiply(unitValue, unitPrefixValue), unitPower));\n      }\n\n      return res;\n    } else {\n      // This is a single unit of power 1, like kg or degC\n      convert = Unit._getNumberConverter(getTypeOf(value)); // convert to Fraction or BigNumber if needed\n\n      unitValue = convert(this.units[0].unit.value);\n      unitOffset = convert(this.units[0].unit.offset);\n      unitPrefixValue = convert(this.units[0].prefix.value);\n      return multiply(add(value, unitOffset), multiply(unitValue, unitPrefixValue));\n    }\n  };\n  /**\n   * Denormalize a value, based on its currently set unit(s)\n   * @memberof Unit\n   * @param {number} value\n   * @param {number} [prefixValue]    Optional prefix value to be used (ignored if this is a derived unit)\n   * @return {number} denormalized value\n   * @private\n   */\n\n\n  Unit.prototype._denormalize = function (value, prefixValue) {\n    var unitValue, unitOffset, unitPower, unitPrefixValue;\n    var convert;\n\n    if (value === null || value === undefined || this.units.length === 0) {\n      return value;\n    } else if (this._isDerived()) {\n      // This is a derived unit, so do not apply offsets.\n      // For example, with J kg^-1 degC^-1 you would NOT want to apply the offset.\n      // Also, prefixValue is ignored--but we will still use the prefix value stored in each unit, since kg is usually preferable to g unless the user decides otherwise.\n      var res = value;\n      convert = Unit._getNumberConverter(getTypeOf(value)); // convert to Fraction or BigNumber if needed\n\n      for (var i = 0; i < this.units.length; i++) {\n        unitValue = convert(this.units[i].unit.value);\n        unitPrefixValue = convert(this.units[i].prefix.value);\n        unitPower = convert(this.units[i].power);\n        res = divide(res, pow(multiply(unitValue, unitPrefixValue), unitPower));\n      }\n\n      return res;\n    } else {\n      // This is a single unit of power 1, like kg or degC\n      convert = Unit._getNumberConverter(getTypeOf(value)); // convert to Fraction or BigNumber if needed\n\n      unitValue = convert(this.units[0].unit.value);\n      unitPrefixValue = convert(this.units[0].prefix.value);\n      unitOffset = convert(this.units[0].unit.offset);\n\n      if (prefixValue === undefined || prefixValue === null) {\n        return subtract(divide(divide(value, unitValue), unitPrefixValue), unitOffset);\n      } else {\n        return subtract(divide(divide(value, unitValue), prefixValue), unitOffset);\n      }\n    }\n  };\n  /**\n   * Find a unit from a string\n   * @memberof Unit\n   * @param {string} str              A string like 'cm' or 'inch'\n   * @returns {Object | null} result  When found, an object with fields unit and\n   *                                  prefix is returned. Else, null is returned.\n   * @private\n   */\n\n\n  function _findUnit(str) {\n    // First, match units names exactly. For example, a user could define 'mm' as 10^-4 m, which is silly, but then we would want 'mm' to match the user-defined unit.\n    if (UNITS.hasOwnProperty(str)) {\n      var unit = UNITS[str];\n      var prefix = unit.prefixes[''];\n      return {\n        unit: unit,\n        prefix: prefix\n      };\n    }\n\n    for (var name in UNITS) {\n      if (UNITS.hasOwnProperty(name)) {\n        if (endsWith(str, name)) {\n          var _unit = UNITS[name];\n          var prefixLen = str.length - name.length;\n          var prefixName = str.substring(0, prefixLen);\n\n          var _prefix = _unit.prefixes.hasOwnProperty(prefixName) ? _unit.prefixes[prefixName] : undefined;\n\n          if (_prefix !== undefined) {\n            // store unit, prefix, and value\n            return {\n              unit: _unit,\n              prefix: _prefix\n            };\n          }\n        }\n      }\n    }\n\n    return null;\n  }\n  /**\n   * Test if the given expression is a unit.\n   * The unit can have a prefix but cannot have a value.\n   * @memberof Unit\n   * @param {string} name   A string to be tested whether it is a value less unit.\n   *                        The unit can have prefix, like \"cm\"\n   * @return {boolean}      true if the given string is a unit\n   */\n\n\n  Unit.isValuelessUnit = function (name) {\n    return _findUnit(name) !== null;\n  };\n  /**\n   * check if this unit has given base unit\n   * If this unit is a derived unit, this will ALWAYS return false, since by definition base units are not derived.\n   * @memberof Unit\n   * @param {BASE_UNITS | string | undefined} base\n   */\n\n\n  Unit.prototype.hasBase = function (base) {\n    if (typeof base === 'string') {\n      base = BASE_UNITS[base];\n    }\n\n    if (!base) {\n      return false;\n    } // All dimensions must be the same\n\n\n    for (var i = 0; i < BASE_DIMENSIONS.length; i++) {\n      if (Math.abs((this.dimensions[i] || 0) - (base.dimensions[i] || 0)) > 1e-12) {\n        return false;\n      }\n    }\n\n    return true;\n  };\n  /**\n   * Check if this unit has a base or bases equal to another base or bases\n   * For derived units, the exponent on each base also must match\n   * @memberof Unit\n   * @param {Unit} other\n   * @return {boolean} true if equal base\n   */\n\n\n  Unit.prototype.equalBase = function (other) {\n    // All dimensions must be the same\n    for (var i = 0; i < BASE_DIMENSIONS.length; i++) {\n      if (Math.abs((this.dimensions[i] || 0) - (other.dimensions[i] || 0)) > 1e-12) {\n        return false;\n      }\n    }\n\n    return true;\n  };\n  /**\n   * Check if this unit equals another unit\n   * @memberof Unit\n   * @param {Unit} other\n   * @return {boolean} true if both units are equal\n   */\n\n\n  Unit.prototype.equals = function (other) {\n    return this.equalBase(other) && equal(this.value, other.value);\n  };\n  /**\n   * Multiply this unit with another one\n   * @memberof Unit\n   * @param {Unit} other\n   * @return {Unit} product of this unit and the other unit\n   */\n\n\n  Unit.prototype.multiply = function (other) {\n    var res = this.clone();\n\n    for (var i = 0; i < BASE_DIMENSIONS.length; i++) {\n      // Dimensions arrays may be of different lengths. Default to 0.\n      res.dimensions[i] = (this.dimensions[i] || 0) + (other.dimensions[i] || 0);\n    } // Append other's units list onto res\n\n\n    for (var _i = 0; _i < other.units.length; _i++) {\n      // Make a deep copy\n      var inverted = {};\n\n      for (var key in other.units[_i]) {\n        inverted[key] = other.units[_i][key];\n      }\n\n      res.units.push(inverted);\n    } // If at least one operand has a value, then the result should also have a value\n\n\n    if (this.value !== null || other.value !== null) {\n      var valThis = this.value === null ? this._normalize(1) : this.value;\n      var valOther = other.value === null ? other._normalize(1) : other.value;\n      res.value = multiply(valThis, valOther);\n    } else {\n      res.value = null;\n    }\n\n    res.skipAutomaticSimplification = false;\n    return getNumericIfUnitless(res);\n  };\n  /**\n   * Divide this unit by another one\n   * @memberof Unit\n   * @param {Unit} other\n   * @return {Unit} result of dividing this unit by the other unit\n   */\n\n\n  Unit.prototype.divide = function (other) {\n    var res = this.clone();\n\n    for (var i = 0; i < BASE_DIMENSIONS.length; i++) {\n      // Dimensions arrays may be of different lengths. Default to 0.\n      res.dimensions[i] = (this.dimensions[i] || 0) - (other.dimensions[i] || 0);\n    } // Invert and append other's units list onto res\n\n\n    for (var _i2 = 0; _i2 < other.units.length; _i2++) {\n      // Make a deep copy\n      var inverted = {};\n\n      for (var key in other.units[_i2]) {\n        inverted[key] = other.units[_i2][key];\n      }\n\n      inverted.power = -inverted.power;\n      res.units.push(inverted);\n    } // If at least one operand has a value, the result should have a value\n\n\n    if (this.value !== null || other.value !== null) {\n      var valThis = this.value === null ? this._normalize(1) : this.value;\n      var valOther = other.value === null ? other._normalize(1) : other.value;\n      res.value = divide(valThis, valOther);\n    } else {\n      res.value = null;\n    }\n\n    res.skipAutomaticSimplification = false;\n    return getNumericIfUnitless(res);\n  };\n  /**\n   * Calculate the power of a unit\n   * @memberof Unit\n   * @param {number | Fraction | BigNumber} p\n   * @returns {Unit}      The result: this^p\n   */\n\n\n  Unit.prototype.pow = function (p) {\n    var res = this.clone();\n\n    for (var i = 0; i < BASE_DIMENSIONS.length; i++) {\n      // Dimensions arrays may be of different lengths. Default to 0.\n      res.dimensions[i] = (this.dimensions[i] || 0) * p;\n    } // Adjust the power of each unit in the list\n\n\n    for (var _i3 = 0; _i3 < res.units.length; _i3++) {\n      res.units[_i3].power *= p;\n    }\n\n    if (res.value !== null) {\n      res.value = pow(res.value, p); // only allow numeric output, we don't want to return a Complex number\n      // if (!isNumeric(res.value)) {\n      //  res.value = NaN\n      // }\n      // Update: Complex supported now\n    } else {\n      res.value = null;\n    }\n\n    res.skipAutomaticSimplification = false;\n    return getNumericIfUnitless(res);\n  };\n  /**\n   * Return the numeric value of this unit if it is dimensionless, has a value, and config.predictable == false; or the original unit otherwise\n   * @param {Unit} unit\n   * @returns {number | Fraction | BigNumber | Unit}  The numeric value of the unit if conditions are met, or the original unit otherwise\n   */\n\n\n  function getNumericIfUnitless(unit) {\n    if (unit.equalBase(BASE_UNITS.NONE) && unit.value !== null && !config.predictable) {\n      return unit.value;\n    } else {\n      return unit;\n    }\n  }\n  /**\n   * Calculate the absolute value of a unit\n   * @memberof Unit\n   * @param {number | Fraction | BigNumber} x\n   * @returns {Unit}      The result: |x|, absolute value of x\n   */\n\n\n  Unit.prototype.abs = function () {\n    // This gives correct, but unexpected, results for units with an offset.\n    // For example, abs(-283.15 degC) = -263.15 degC !!!\n    var ret = this.clone();\n    ret.value = ret.value !== null ? abs(ret.value) : null;\n\n    for (var i in ret.units) {\n      if (ret.units[i].unit.name === 'VA' || ret.units[i].unit.name === 'VAR') {\n        ret.units[i].unit = UNITS['W'];\n      }\n    }\n\n    return ret;\n  };\n  /**\n   * Convert the unit to a specific unit name.\n   * @memberof Unit\n   * @param {string | Unit} valuelessUnit   A unit without value. Can have prefix, like \"cm\"\n   * @returns {Unit} Returns a clone of the unit with a fixed prefix and unit.\n   */\n\n\n  Unit.prototype.to = function (valuelessUnit) {\n    var other;\n    var value = this.value === null ? this._normalize(1) : this.value;\n\n    if (typeof valuelessUnit === 'string') {\n      // other = new Unit(null, valuelessUnit)\n      other = Unit.parse(valuelessUnit);\n\n      if (!this.equalBase(other)) {\n        throw new Error(\"Units do not match ('\".concat(other.toString(), \"' != '\").concat(this.toString(), \"')\"));\n      }\n\n      if (other.value !== null) {\n        throw new Error('Cannot convert to a unit with a value');\n      }\n\n      other.value = clone(value);\n      other.fixPrefix = true;\n      other.skipAutomaticSimplification = true;\n      return other;\n    } else if (type.isUnit(valuelessUnit)) {\n      if (!this.equalBase(valuelessUnit)) {\n        throw new Error(\"Units do not match ('\".concat(valuelessUnit.toString(), \"' != '\").concat(this.toString(), \"')\"));\n      }\n\n      if (valuelessUnit.value !== null) {\n        throw new Error('Cannot convert to a unit with a value');\n      }\n\n      other = valuelessUnit.clone();\n      other.value = clone(value);\n      other.fixPrefix = true;\n      other.skipAutomaticSimplification = true;\n      return other;\n    } else {\n      throw new Error('String or Unit expected as parameter');\n    }\n  };\n  /**\n   * Return the value of the unit when represented with given valueless unit\n   * @memberof Unit\n   * @param {string | Unit} valuelessUnit    For example 'cm' or 'inch'\n   * @return {number} Returns the unit value as number.\n   */\n  // TODO: deprecate Unit.toNumber? It's always better to use toNumeric\n\n\n  Unit.prototype.toNumber = function (valuelessUnit) {\n    return toNumber(this.toNumeric(valuelessUnit));\n  };\n  /**\n   * Return the value of the unit in the original numeric type\n   * @memberof Unit\n   * @param {string | Unit} valuelessUnit    For example 'cm' or 'inch'\n   * @return {number | BigNumber | Fraction} Returns the unit value\n   */\n\n\n  Unit.prototype.toNumeric = function (valuelessUnit) {\n    var other;\n\n    if (valuelessUnit) {\n      // Allow getting the numeric value without converting to a different unit\n      other = this.to(valuelessUnit);\n    } else {\n      other = this.clone();\n    }\n\n    if (other._isDerived()) {\n      return other._denormalize(other.value);\n    } else {\n      return other._denormalize(other.value, other.units[0].prefix.value);\n    }\n  };\n  /**\n   * Get a string representation of the unit.\n   * @memberof Unit\n   * @return {string}\n   */\n\n\n  Unit.prototype.toString = function () {\n    return this.format();\n  };\n  /**\n   * Get a JSON representation of the unit\n   * @memberof Unit\n   * @returns {Object} Returns a JSON object structured as:\n   *                   `{\"mathjs\": \"Unit\", \"value\": 2, \"unit\": \"cm\", \"fixPrefix\": false}`\n   */\n\n\n  Unit.prototype.toJSON = function () {\n    return {\n      mathjs: 'Unit',\n      value: this._denormalize(this.value),\n      unit: this.formatUnits(),\n      fixPrefix: this.fixPrefix\n    };\n  };\n  /**\n   * Instantiate a Unit from a JSON object\n   * @memberof Unit\n   * @param {Object} json  A JSON object structured as:\n   *                       `{\"mathjs\": \"Unit\", \"value\": 2, \"unit\": \"cm\", \"fixPrefix\": false}`\n   * @return {Unit}\n   */\n\n\n  Unit.fromJSON = function (json) {\n    var unit = new Unit(json.value, json.unit);\n    unit.fixPrefix = json.fixPrefix || false;\n    return unit;\n  };\n  /**\n   * Returns the string representation of the unit.\n   * @memberof Unit\n   * @return {string}\n   */\n\n\n  Unit.prototype.valueOf = Unit.prototype.toString;\n  /**\n   * Simplify this Unit's unit list and return a new Unit with the simplified list.\n   * The returned Unit will contain a list of the \"best\" units for formatting.\n   */\n\n  Unit.prototype.simplify = function () {\n    var ret = this.clone();\n    var proposedUnitList = []; // Search for a matching base\n\n    var matchingBase;\n\n    for (var key in currentUnitSystem) {\n      if (ret.hasBase(BASE_UNITS[key])) {\n        matchingBase = key;\n        break;\n      }\n    }\n\n    if (matchingBase === 'NONE') {\n      ret.units = [];\n    } else {\n      var matchingUnit;\n\n      if (matchingBase) {\n        // Does the unit system have a matching unit?\n        if (currentUnitSystem.hasOwnProperty(matchingBase)) {\n          matchingUnit = currentUnitSystem[matchingBase];\n        }\n      }\n\n      if (matchingUnit) {\n        ret.units = [{\n          unit: matchingUnit.unit,\n          prefix: matchingUnit.prefix,\n          power: 1.0\n        }];\n      } else {\n        // Multiple units or units with powers are formatted like this:\n        // 5 (kg m^2) / (s^3 mol)\n        // Build an representation from the base units of the current unit system\n        var missingBaseDim = false;\n\n        for (var i = 0; i < BASE_DIMENSIONS.length; i++) {\n          var baseDim = BASE_DIMENSIONS[i];\n\n          if (Math.abs(ret.dimensions[i] || 0) > 1e-12) {\n            if (currentUnitSystem.hasOwnProperty(baseDim)) {\n              proposedUnitList.push({\n                unit: currentUnitSystem[baseDim].unit,\n                prefix: currentUnitSystem[baseDim].prefix,\n                power: ret.dimensions[i] || 0\n              });\n            } else {\n              missingBaseDim = true;\n            }\n          }\n        } // Is the proposed unit list \"simpler\" than the existing one?\n\n\n        if (proposedUnitList.length < ret.units.length && !missingBaseDim) {\n          // Replace this unit list with the proposed list\n          ret.units = proposedUnitList;\n        }\n      }\n    }\n\n    return ret;\n  };\n  /**\n   * Returns a new Unit in the SI system with the same value as this one\n   */\n\n\n  Unit.prototype.toSI = function () {\n    var ret = this.clone();\n    var proposedUnitList = []; // Multiple units or units with powers are formatted like this:\n    // 5 (kg m^2) / (s^3 mol)\n    // Build an representation from the base units of the SI unit system\n\n    for (var i = 0; i < BASE_DIMENSIONS.length; i++) {\n      var baseDim = BASE_DIMENSIONS[i];\n\n      if (Math.abs(ret.dimensions[i] || 0) > 1e-12) {\n        if (UNIT_SYSTEMS['si'].hasOwnProperty(baseDim)) {\n          proposedUnitList.push({\n            unit: UNIT_SYSTEMS['si'][baseDim].unit,\n            prefix: UNIT_SYSTEMS['si'][baseDim].prefix,\n            power: ret.dimensions[i] || 0\n          });\n        } else {\n          throw new Error('Cannot express custom unit ' + baseDim + ' in SI units');\n        }\n      }\n    } // Replace this unit list with the proposed list\n\n\n    ret.units = proposedUnitList;\n    ret.fixPrefix = true;\n    ret.skipAutomaticSimplification = true;\n    return ret;\n  };\n  /**\n   * Get a string representation of the units of this Unit, without the value. The unit list is formatted as-is without first being simplified.\n   * @memberof Unit\n   * @return {string}\n   */\n\n\n  Unit.prototype.formatUnits = function () {\n    var strNum = '';\n    var strDen = '';\n    var nNum = 0;\n    var nDen = 0;\n\n    for (var i = 0; i < this.units.length; i++) {\n      if (this.units[i].power > 0) {\n        nNum++;\n        strNum += ' ' + this.units[i].prefix.name + this.units[i].unit.name;\n\n        if (Math.abs(this.units[i].power - 1.0) > 1e-15) {\n          strNum += '^' + this.units[i].power;\n        }\n      } else if (this.units[i].power < 0) {\n        nDen++;\n      }\n    }\n\n    if (nDen > 0) {\n      for (var _i4 = 0; _i4 < this.units.length; _i4++) {\n        if (this.units[_i4].power < 0) {\n          if (nNum > 0) {\n            strDen += ' ' + this.units[_i4].prefix.name + this.units[_i4].unit.name;\n\n            if (Math.abs(this.units[_i4].power + 1.0) > 1e-15) {\n              strDen += '^' + -this.units[_i4].power;\n            }\n          } else {\n            strDen += ' ' + this.units[_i4].prefix.name + this.units[_i4].unit.name;\n            strDen += '^' + this.units[_i4].power;\n          }\n        }\n      }\n    } // Remove leading \" \"\n\n\n    strNum = strNum.substr(1);\n    strDen = strDen.substr(1); // Add parans for better copy/paste back into the eval, for example, or for better pretty print formatting\n\n    if (nNum > 1 && nDen > 0) {\n      strNum = '(' + strNum + ')';\n    }\n\n    if (nDen > 1 && nNum > 0) {\n      strDen = '(' + strDen + ')';\n    }\n\n    var str = strNum;\n\n    if (nNum > 0 && nDen > 0) {\n      str += ' / ';\n    }\n\n    str += strDen;\n    return str;\n  };\n  /**\n   * Get a string representation of the Unit, with optional formatting options.\n   * @memberof Unit\n   * @param {Object | number | Function} [options]  Formatting options. See\n   *                                                lib/utils/number:format for a\n   *                                                description of the available\n   *                                                options.\n   * @return {string}\n   */\n\n\n  Unit.prototype.format = function (options) {\n    // Simplfy the unit list, unless it is valueless or was created directly in the\n    // constructor or as the result of to or toSI\n    var simp = this.skipAutomaticSimplification || this.value === null ? this.clone() : this.simplify(); // Apply some custom logic for handling VA and VAR. The goal is to express the value of the unit as a real value, if possible. Otherwise, use a real-valued unit instead of a complex-valued one.\n\n    var isImaginary = false;\n\n    if (typeof simp.value !== 'undefined' && simp.value !== null && type.isComplex(simp.value)) {\n      // TODO: Make this better, for example, use relative magnitude of re and im rather than absolute\n      isImaginary = Math.abs(simp.value.re) < 1e-14;\n    }\n\n    for (var i in simp.units) {\n      if (simp.units[i].unit) {\n        if (simp.units[i].unit.name === 'VA' && isImaginary) {\n          simp.units[i].unit = UNITS['VAR'];\n        } else if (simp.units[i].unit.name === 'VAR' && !isImaginary) {\n          simp.units[i].unit = UNITS['VA'];\n        }\n      }\n    } // Now apply the best prefix\n    // Units must have only one unit and not have the fixPrefix flag set\n\n\n    if (simp.units.length === 1 && !simp.fixPrefix) {\n      // Units must have integer powers, otherwise the prefix will change the\n      // outputted value by not-an-integer-power-of-ten\n      if (Math.abs(simp.units[0].power - Math.round(simp.units[0].power)) < 1e-14) {\n        // Apply the best prefix\n        simp.units[0].prefix = simp._bestPrefix();\n      }\n    }\n\n    var value = simp._denormalize(simp.value);\n\n    var str = simp.value !== null ? format(value, options || {}) : '';\n    var unitStr = simp.formatUnits();\n\n    if (simp.value && type.isComplex(simp.value)) {\n      str = '(' + str + ')'; // Surround complex values with ( ) to enable better parsing\n    }\n\n    if (unitStr.length > 0 && str.length > 0) {\n      str += ' ';\n    }\n\n    str += unitStr;\n    return str;\n  };\n  /**\n   * Calculate the best prefix using current value.\n   * @memberof Unit\n   * @returns {Object} prefix\n   * @private\n   */\n\n\n  Unit.prototype._bestPrefix = function () {\n    if (this.units.length !== 1) {\n      throw new Error('Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!');\n    }\n\n    if (Math.abs(this.units[0].power - Math.round(this.units[0].power)) >= 1e-14) {\n      throw new Error('Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!');\n    } // find the best prefix value (resulting in the value of which\n    // the absolute value of the log10 is closest to zero,\n    // though with a little offset of 1.2 for nicer values: you get a\n    // sequence 1mm 100mm 500mm 0.6m 1m 10m 100m 500m 0.6km 1km ...\n    // Note: the units value can be any numeric type, but to find the best\n    // prefix it's enough to work with limited precision of a regular number\n    // Update: using mathjs abs since we also allow complex numbers\n\n\n    var absValue = this.value !== null ? abs(this.value) : 0;\n    var absUnitValue = abs(this.units[0].unit.value);\n    var bestPrefix = this.units[0].prefix;\n\n    if (absValue === 0) {\n      return bestPrefix;\n    }\n\n    var power = this.units[0].power;\n    var bestDiff = Math.log(absValue / Math.pow(bestPrefix.value * absUnitValue, power)) / Math.LN10 - 1.2;\n    if (bestDiff > -2.200001 && bestDiff < 1.800001) return bestPrefix; // Allow the original prefix\n\n    bestDiff = Math.abs(bestDiff);\n    var prefixes = this.units[0].unit.prefixes;\n\n    for (var p in prefixes) {\n      if (prefixes.hasOwnProperty(p)) {\n        var prefix = prefixes[p];\n\n        if (prefix.scientific) {\n          var diff = Math.abs(Math.log(absValue / Math.pow(prefix.value * absUnitValue, power)) / Math.LN10 - 1.2);\n\n          if (diff < bestDiff || diff === bestDiff && prefix.name.length < bestPrefix.name.length) {\n            // choose the prefix with the smallest diff, or if equal, choose the one\n            // with the shortest name (can happen with SHORTLONG for example)\n            bestPrefix = prefix;\n            bestDiff = diff;\n          }\n        }\n      }\n    }\n\n    return bestPrefix;\n  };\n  /**\n   * Returns an array of units whose sum is equal to this unit\n   * @memberof Unit\n   * @param {Array} [parts] An array of strings or valueless units.\n   *\n   *   Example:\n   *\n   *   const u = new Unit(1, 'm')\n   *   u.splitUnit(['feet', 'inch'])\n   *     [ 3 feet, 3.3700787401575 inch ]\n   *\n   * @return {Array} An array of units.\n   */\n\n\n  Unit.prototype.splitUnit = function (parts) {\n    var x = this.clone();\n    var ret = [];\n\n    for (var i = 0; i < parts.length; i++) {\n      // Convert x to the requested unit\n      x = x.to(parts[i]);\n      if (i === parts.length - 1) break; // Get the numeric value of this unit\n\n      var xNumeric = x.toNumeric(); // Check to see if xNumeric is nearly equal to an integer,\n      // since fix can incorrectly round down if there is round-off error\n\n      var xRounded = round(xNumeric);\n      var xFixed = void 0;\n      var isNearlyEqual = equal(xRounded, xNumeric);\n\n      if (isNearlyEqual) {\n        xFixed = xRounded;\n      } else {\n        xFixed = fix(x.toNumeric());\n      }\n\n      var y = new Unit(xFixed, parts[i].toString());\n      ret.push(y);\n      x = subtract(x, y);\n    } // This little bit fixes a bug where the remainder should be 0 but is a little bit off.\n    // But instead of comparing x, the remainder, with zero--we will compare the sum of\n    // all the parts so far with the original value. If they are nearly equal,\n    // we set the remainder to 0.\n\n\n    var testSum = 0;\n\n    for (var _i5 = 0; _i5 < ret.length; _i5++) {\n      testSum = add(testSum, ret[_i5].value);\n    }\n\n    if (equal(testSum, this.value)) {\n      x.value = 0;\n    }\n\n    ret.push(x);\n    return ret;\n  };\n\n  var PREFIXES = {\n    NONE: {\n      '': {\n        name: '',\n        value: 1,\n        scientific: true\n      }\n    },\n    SHORT: {\n      '': {\n        name: '',\n        value: 1,\n        scientific: true\n      },\n      'da': {\n        name: 'da',\n        value: 1e1,\n        scientific: false\n      },\n      'h': {\n        name: 'h',\n        value: 1e2,\n        scientific: false\n      },\n      'k': {\n        name: 'k',\n        value: 1e3,\n        scientific: true\n      },\n      'M': {\n        name: 'M',\n        value: 1e6,\n        scientific: true\n      },\n      'G': {\n        name: 'G',\n        value: 1e9,\n        scientific: true\n      },\n      'T': {\n        name: 'T',\n        value: 1e12,\n        scientific: true\n      },\n      'P': {\n        name: 'P',\n        value: 1e15,\n        scientific: true\n      },\n      'E': {\n        name: 'E',\n        value: 1e18,\n        scientific: true\n      },\n      'Z': {\n        name: 'Z',\n        value: 1e21,\n        scientific: true\n      },\n      'Y': {\n        name: 'Y',\n        value: 1e24,\n        scientific: true\n      },\n      'd': {\n        name: 'd',\n        value: 1e-1,\n        scientific: false\n      },\n      'c': {\n        name: 'c',\n        value: 1e-2,\n        scientific: false\n      },\n      'm': {\n        name: 'm',\n        value: 1e-3,\n        scientific: true\n      },\n      'u': {\n        name: 'u',\n        value: 1e-6,\n        scientific: true\n      },\n      'n': {\n        name: 'n',\n        value: 1e-9,\n        scientific: true\n      },\n      'p': {\n        name: 'p',\n        value: 1e-12,\n        scientific: true\n      },\n      'f': {\n        name: 'f',\n        value: 1e-15,\n        scientific: true\n      },\n      'a': {\n        name: 'a',\n        value: 1e-18,\n        scientific: true\n      },\n      'z': {\n        name: 'z',\n        value: 1e-21,\n        scientific: true\n      },\n      'y': {\n        name: 'y',\n        value: 1e-24,\n        scientific: true\n      }\n    },\n    LONG: {\n      '': {\n        name: '',\n        value: 1,\n        scientific: true\n      },\n      'deca': {\n        name: 'deca',\n        value: 1e1,\n        scientific: false\n      },\n      'hecto': {\n        name: 'hecto',\n        value: 1e2,\n        scientific: false\n      },\n      'kilo': {\n        name: 'kilo',\n        value: 1e3,\n        scientific: true\n      },\n      'mega': {\n        name: 'mega',\n        value: 1e6,\n        scientific: true\n      },\n      'giga': {\n        name: 'giga',\n        value: 1e9,\n        scientific: true\n      },\n      'tera': {\n        name: 'tera',\n        value: 1e12,\n        scientific: true\n      },\n      'peta': {\n        name: 'peta',\n        value: 1e15,\n        scientific: true\n      },\n      'exa': {\n        name: 'exa',\n        value: 1e18,\n        scientific: true\n      },\n      'zetta': {\n        name: 'zetta',\n        value: 1e21,\n        scientific: true\n      },\n      'yotta': {\n        name: 'yotta',\n        value: 1e24,\n        scientific: true\n      },\n      'deci': {\n        name: 'deci',\n        value: 1e-1,\n        scientific: false\n      },\n      'centi': {\n        name: 'centi',\n        value: 1e-2,\n        scientific: false\n      },\n      'milli': {\n        name: 'milli',\n        value: 1e-3,\n        scientific: true\n      },\n      'micro': {\n        name: 'micro',\n        value: 1e-6,\n        scientific: true\n      },\n      'nano': {\n        name: 'nano',\n        value: 1e-9,\n        scientific: true\n      },\n      'pico': {\n        name: 'pico',\n        value: 1e-12,\n        scientific: true\n      },\n      'femto': {\n        name: 'femto',\n        value: 1e-15,\n        scientific: true\n      },\n      'atto': {\n        name: 'atto',\n        value: 1e-18,\n        scientific: true\n      },\n      'zepto': {\n        name: 'zepto',\n        value: 1e-21,\n        scientific: true\n      },\n      'yocto': {\n        name: 'yocto',\n        value: 1e-24,\n        scientific: true\n      }\n    },\n    SQUARED: {\n      '': {\n        name: '',\n        value: 1,\n        scientific: true\n      },\n      'da': {\n        name: 'da',\n        value: 1e2,\n        scientific: false\n      },\n      'h': {\n        name: 'h',\n        value: 1e4,\n        scientific: false\n      },\n      'k': {\n        name: 'k',\n        value: 1e6,\n        scientific: true\n      },\n      'M': {\n        name: 'M',\n        value: 1e12,\n        scientific: true\n      },\n      'G': {\n        name: 'G',\n        value: 1e18,\n        scientific: true\n      },\n      'T': {\n        name: 'T',\n        value: 1e24,\n        scientific: true\n      },\n      'P': {\n        name: 'P',\n        value: 1e30,\n        scientific: true\n      },\n      'E': {\n        name: 'E',\n        value: 1e36,\n        scientific: true\n      },\n      'Z': {\n        name: 'Z',\n        value: 1e42,\n        scientific: true\n      },\n      'Y': {\n        name: 'Y',\n        value: 1e48,\n        scientific: true\n      },\n      'd': {\n        name: 'd',\n        value: 1e-2,\n        scientific: false\n      },\n      'c': {\n        name: 'c',\n        value: 1e-4,\n        scientific: false\n      },\n      'm': {\n        name: 'm',\n        value: 1e-6,\n        scientific: true\n      },\n      'u': {\n        name: 'u',\n        value: 1e-12,\n        scientific: true\n      },\n      'n': {\n        name: 'n',\n        value: 1e-18,\n        scientific: true\n      },\n      'p': {\n        name: 'p',\n        value: 1e-24,\n        scientific: true\n      },\n      'f': {\n        name: 'f',\n        value: 1e-30,\n        scientific: true\n      },\n      'a': {\n        name: 'a',\n        value: 1e-36,\n        scientific: true\n      },\n      'z': {\n        name: 'z',\n        value: 1e-42,\n        scientific: true\n      },\n      'y': {\n        name: 'y',\n        value: 1e-48,\n        scientific: true\n      }\n    },\n    CUBIC: {\n      '': {\n        name: '',\n        value: 1,\n        scientific: true\n      },\n      'da': {\n        name: 'da',\n        value: 1e3,\n        scientific: false\n      },\n      'h': {\n        name: 'h',\n        value: 1e6,\n        scientific: false\n      },\n      'k': {\n        name: 'k',\n        value: 1e9,\n        scientific: true\n      },\n      'M': {\n        name: 'M',\n        value: 1e18,\n        scientific: true\n      },\n      'G': {\n        name: 'G',\n        value: 1e27,\n        scientific: true\n      },\n      'T': {\n        name: 'T',\n        value: 1e36,\n        scientific: true\n      },\n      'P': {\n        name: 'P',\n        value: 1e45,\n        scientific: true\n      },\n      'E': {\n        name: 'E',\n        value: 1e54,\n        scientific: true\n      },\n      'Z': {\n        name: 'Z',\n        value: 1e63,\n        scientific: true\n      },\n      'Y': {\n        name: 'Y',\n        value: 1e72,\n        scientific: true\n      },\n      'd': {\n        name: 'd',\n        value: 1e-3,\n        scientific: false\n      },\n      'c': {\n        name: 'c',\n        value: 1e-6,\n        scientific: false\n      },\n      'm': {\n        name: 'm',\n        value: 1e-9,\n        scientific: true\n      },\n      'u': {\n        name: 'u',\n        value: 1e-18,\n        scientific: true\n      },\n      'n': {\n        name: 'n',\n        value: 1e-27,\n        scientific: true\n      },\n      'p': {\n        name: 'p',\n        value: 1e-36,\n        scientific: true\n      },\n      'f': {\n        name: 'f',\n        value: 1e-45,\n        scientific: true\n      },\n      'a': {\n        name: 'a',\n        value: 1e-54,\n        scientific: true\n      },\n      'z': {\n        name: 'z',\n        value: 1e-63,\n        scientific: true\n      },\n      'y': {\n        name: 'y',\n        value: 1e-72,\n        scientific: true\n      }\n    },\n    BINARY_SHORT: {\n      '': {\n        name: '',\n        value: 1,\n        scientific: true\n      },\n      'k': {\n        name: 'k',\n        value: 1e3,\n        scientific: true\n      },\n      'M': {\n        name: 'M',\n        value: 1e6,\n        scientific: true\n      },\n      'G': {\n        name: 'G',\n        value: 1e9,\n        scientific: true\n      },\n      'T': {\n        name: 'T',\n        value: 1e12,\n        scientific: true\n      },\n      'P': {\n        name: 'P',\n        value: 1e15,\n        scientific: true\n      },\n      'E': {\n        name: 'E',\n        value: 1e18,\n        scientific: true\n      },\n      'Z': {\n        name: 'Z',\n        value: 1e21,\n        scientific: true\n      },\n      'Y': {\n        name: 'Y',\n        value: 1e24,\n        scientific: true\n      },\n      'Ki': {\n        name: 'Ki',\n        value: 1024,\n        scientific: true\n      },\n      'Mi': {\n        name: 'Mi',\n        value: Math.pow(1024, 2),\n        scientific: true\n      },\n      'Gi': {\n        name: 'Gi',\n        value: Math.pow(1024, 3),\n        scientific: true\n      },\n      'Ti': {\n        name: 'Ti',\n        value: Math.pow(1024, 4),\n        scientific: true\n      },\n      'Pi': {\n        name: 'Pi',\n        value: Math.pow(1024, 5),\n        scientific: true\n      },\n      'Ei': {\n        name: 'Ei',\n        value: Math.pow(1024, 6),\n        scientific: true\n      },\n      'Zi': {\n        name: 'Zi',\n        value: Math.pow(1024, 7),\n        scientific: true\n      },\n      'Yi': {\n        name: 'Yi',\n        value: Math.pow(1024, 8),\n        scientific: true\n      }\n    },\n    BINARY_LONG: {\n      '': {\n        name: '',\n        value: 1,\n        scientific: true\n      },\n      'kilo': {\n        name: 'kilo',\n        value: 1e3,\n        scientific: true\n      },\n      'mega': {\n        name: 'mega',\n        value: 1e6,\n        scientific: true\n      },\n      'giga': {\n        name: 'giga',\n        value: 1e9,\n        scientific: true\n      },\n      'tera': {\n        name: 'tera',\n        value: 1e12,\n        scientific: true\n      },\n      'peta': {\n        name: 'peta',\n        value: 1e15,\n        scientific: true\n      },\n      'exa': {\n        name: 'exa',\n        value: 1e18,\n        scientific: true\n      },\n      'zetta': {\n        name: 'zetta',\n        value: 1e21,\n        scientific: true\n      },\n      'yotta': {\n        name: 'yotta',\n        value: 1e24,\n        scientific: true\n      },\n      'kibi': {\n        name: 'kibi',\n        value: 1024,\n        scientific: true\n      },\n      'mebi': {\n        name: 'mebi',\n        value: Math.pow(1024, 2),\n        scientific: true\n      },\n      'gibi': {\n        name: 'gibi',\n        value: Math.pow(1024, 3),\n        scientific: true\n      },\n      'tebi': {\n        name: 'tebi',\n        value: Math.pow(1024, 4),\n        scientific: true\n      },\n      'pebi': {\n        name: 'pebi',\n        value: Math.pow(1024, 5),\n        scientific: true\n      },\n      'exi': {\n        name: 'exi',\n        value: Math.pow(1024, 6),\n        scientific: true\n      },\n      'zebi': {\n        name: 'zebi',\n        value: Math.pow(1024, 7),\n        scientific: true\n      },\n      'yobi': {\n        name: 'yobi',\n        value: Math.pow(1024, 8),\n        scientific: true\n      }\n    },\n    BTU: {\n      '': {\n        name: '',\n        value: 1,\n        scientific: true\n      },\n      'MM': {\n        name: 'MM',\n        value: 1e6,\n        scientific: true\n      } // Add a prefix list for both short and long prefixes (for example for ohm and bar which support both Mohm and megaohm, mbar and millibar):\n\n    }\n  };\n  PREFIXES.SHORTLONG = {};\n\n  for (var key in PREFIXES.SHORT) {\n    if (PREFIXES.SHORT.hasOwnProperty(key)) {\n      PREFIXES.SHORTLONG[key] = PREFIXES.SHORT[key];\n    }\n  }\n\n  for (var _key in PREFIXES.LONG) {\n    if (PREFIXES.LONG.hasOwnProperty(_key)) {\n      PREFIXES.SHORTLONG[_key] = PREFIXES.LONG[_key];\n    }\n  }\n  /* Internally, each unit is represented by a value and a dimension array. The elements of the dimensions array have the following meaning:\n   * Index  Dimension\n   * -----  ---------\n   *   0    Length\n   *   1    Mass\n   *   2    Time\n   *   3    Current\n   *   4    Temperature\n   *   5    Luminous intensity\n   *   6    Amount of substance\n   *   7    Angle\n   *   8    Bit (digital)\n   * For example, the unit \"298.15 K\" is a pure temperature and would have a value of 298.15 and a dimension array of [0, 0, 0, 0, 1, 0, 0, 0, 0]. The unit \"1 cal / (gm °C)\" can be written in terms of the 9 fundamental dimensions as [length^2] / ([time^2] * [temperature]), and would a value of (after conversion to SI) 4184.0 and a dimensions array of [2, 0, -2, 0, -1, 0, 0, 0, 0].\n   *\n   */\n\n\n  var BASE_DIMENSIONS = ['MASS', 'LENGTH', 'TIME', 'CURRENT', 'TEMPERATURE', 'LUMINOUS_INTENSITY', 'AMOUNT_OF_SUBSTANCE', 'ANGLE', 'BIT'];\n  var BASE_UNITS = {\n    NONE: {\n      dimensions: [0, 0, 0, 0, 0, 0, 0, 0, 0]\n    },\n    MASS: {\n      dimensions: [1, 0, 0, 0, 0, 0, 0, 0, 0]\n    },\n    LENGTH: {\n      dimensions: [0, 1, 0, 0, 0, 0, 0, 0, 0]\n    },\n    TIME: {\n      dimensions: [0, 0, 1, 0, 0, 0, 0, 0, 0]\n    },\n    CURRENT: {\n      dimensions: [0, 0, 0, 1, 0, 0, 0, 0, 0]\n    },\n    TEMPERATURE: {\n      dimensions: [0, 0, 0, 0, 1, 0, 0, 0, 0]\n    },\n    LUMINOUS_INTENSITY: {\n      dimensions: [0, 0, 0, 0, 0, 1, 0, 0, 0]\n    },\n    AMOUNT_OF_SUBSTANCE: {\n      dimensions: [0, 0, 0, 0, 0, 0, 1, 0, 0]\n    },\n    FORCE: {\n      dimensions: [1, 1, -2, 0, 0, 0, 0, 0, 0]\n    },\n    SURFACE: {\n      dimensions: [0, 2, 0, 0, 0, 0, 0, 0, 0]\n    },\n    VOLUME: {\n      dimensions: [0, 3, 0, 0, 0, 0, 0, 0, 0]\n    },\n    ENERGY: {\n      dimensions: [1, 2, -2, 0, 0, 0, 0, 0, 0]\n    },\n    POWER: {\n      dimensions: [1, 2, -3, 0, 0, 0, 0, 0, 0]\n    },\n    PRESSURE: {\n      dimensions: [1, -1, -2, 0, 0, 0, 0, 0, 0]\n    },\n    ELECTRIC_CHARGE: {\n      dimensions: [0, 0, 1, 1, 0, 0, 0, 0, 0]\n    },\n    ELECTRIC_CAPACITANCE: {\n      dimensions: [-1, -2, 4, 2, 0, 0, 0, 0, 0]\n    },\n    ELECTRIC_POTENTIAL: {\n      dimensions: [1, 2, -3, -1, 0, 0, 0, 0, 0]\n    },\n    ELECTRIC_RESISTANCE: {\n      dimensions: [1, 2, -3, -2, 0, 0, 0, 0, 0]\n    },\n    ELECTRIC_INDUCTANCE: {\n      dimensions: [1, 2, -2, -2, 0, 0, 0, 0, 0]\n    },\n    ELECTRIC_CONDUCTANCE: {\n      dimensions: [-1, -2, 3, 2, 0, 0, 0, 0, 0]\n    },\n    MAGNETIC_FLUX: {\n      dimensions: [1, 2, -2, -1, 0, 0, 0, 0, 0]\n    },\n    MAGNETIC_FLUX_DENSITY: {\n      dimensions: [1, 0, -2, -1, 0, 0, 0, 0, 0]\n    },\n    FREQUENCY: {\n      dimensions: [0, 0, -1, 0, 0, 0, 0, 0, 0]\n    },\n    ANGLE: {\n      dimensions: [0, 0, 0, 0, 0, 0, 0, 1, 0]\n    },\n    BIT: {\n      dimensions: [0, 0, 0, 0, 0, 0, 0, 0, 1]\n    }\n  };\n\n  for (var _key2 in BASE_UNITS) {\n    BASE_UNITS[_key2].key = _key2;\n  }\n\n  var BASE_UNIT_NONE = {};\n  var UNIT_NONE = {\n    name: '',\n    base: BASE_UNIT_NONE,\n    value: 1,\n    offset: 0,\n    dimensions: BASE_DIMENSIONS.map(function (x) {\n      return 0;\n    })\n  };\n  var UNITS = {\n    // length\n    meter: {\n      name: 'meter',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    inch: {\n      name: 'inch',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 0.0254,\n      offset: 0\n    },\n    foot: {\n      name: 'foot',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 0.3048,\n      offset: 0\n    },\n    yard: {\n      name: 'yard',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 0.9144,\n      offset: 0\n    },\n    mile: {\n      name: 'mile',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 1609.344,\n      offset: 0\n    },\n    link: {\n      name: 'link',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 0.201168,\n      offset: 0\n    },\n    rod: {\n      name: 'rod',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 5.0292,\n      offset: 0\n    },\n    chain: {\n      name: 'chain',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 20.1168,\n      offset: 0\n    },\n    angstrom: {\n      name: 'angstrom',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 1e-10,\n      offset: 0\n    },\n    m: {\n      name: 'm',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    'in': {\n      name: 'in',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 0.0254,\n      offset: 0\n    },\n    ft: {\n      name: 'ft',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 0.3048,\n      offset: 0\n    },\n    yd: {\n      name: 'yd',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 0.9144,\n      offset: 0\n    },\n    mi: {\n      name: 'mi',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 1609.344,\n      offset: 0\n    },\n    li: {\n      name: 'li',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 0.201168,\n      offset: 0\n    },\n    rd: {\n      name: 'rd',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 5.029210,\n      offset: 0\n    },\n    ch: {\n      name: 'ch',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 20.1168,\n      offset: 0\n    },\n    mil: {\n      name: 'mil',\n      base: BASE_UNITS.LENGTH,\n      prefixes: PREFIXES.NONE,\n      value: 0.0000254,\n      offset: 0\n    },\n    // 1/1000 inch\n    // Surface\n    m2: {\n      name: 'm2',\n      base: BASE_UNITS.SURFACE,\n      prefixes: PREFIXES.SQUARED,\n      value: 1,\n      offset: 0\n    },\n    sqin: {\n      name: 'sqin',\n      base: BASE_UNITS.SURFACE,\n      prefixes: PREFIXES.NONE,\n      value: 0.00064516,\n      offset: 0\n    },\n    // 645.16 mm2\n    sqft: {\n      name: 'sqft',\n      base: BASE_UNITS.SURFACE,\n      prefixes: PREFIXES.NONE,\n      value: 0.09290304,\n      offset: 0\n    },\n    // 0.09290304 m2\n    sqyd: {\n      name: 'sqyd',\n      base: BASE_UNITS.SURFACE,\n      prefixes: PREFIXES.NONE,\n      value: 0.83612736,\n      offset: 0\n    },\n    // 0.83612736 m2\n    sqmi: {\n      name: 'sqmi',\n      base: BASE_UNITS.SURFACE,\n      prefixes: PREFIXES.NONE,\n      value: 2589988.110336,\n      offset: 0\n    },\n    // 2.589988110336 km2\n    sqrd: {\n      name: 'sqrd',\n      base: BASE_UNITS.SURFACE,\n      prefixes: PREFIXES.NONE,\n      value: 25.29295,\n      offset: 0\n    },\n    // 25.29295 m2\n    sqch: {\n      name: 'sqch',\n      base: BASE_UNITS.SURFACE,\n      prefixes: PREFIXES.NONE,\n      value: 404.6873,\n      offset: 0\n    },\n    // 404.6873 m2\n    sqmil: {\n      name: 'sqmil',\n      base: BASE_UNITS.SURFACE,\n      prefixes: PREFIXES.NONE,\n      value: 6.4516e-10,\n      offset: 0\n    },\n    // 6.4516 * 10^-10 m2\n    acre: {\n      name: 'acre',\n      base: BASE_UNITS.SURFACE,\n      prefixes: PREFIXES.NONE,\n      value: 4046.86,\n      offset: 0\n    },\n    // 4046.86 m2\n    hectare: {\n      name: 'hectare',\n      base: BASE_UNITS.SURFACE,\n      prefixes: PREFIXES.NONE,\n      value: 10000,\n      offset: 0\n    },\n    // 10000 m2\n    // Volume\n    m3: {\n      name: 'm3',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.CUBIC,\n      value: 1,\n      offset: 0\n    },\n    L: {\n      name: 'L',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.SHORT,\n      value: 0.001,\n      offset: 0\n    },\n    // litre\n    l: {\n      name: 'l',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.SHORT,\n      value: 0.001,\n      offset: 0\n    },\n    // litre\n    litre: {\n      name: 'litre',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.LONG,\n      value: 0.001,\n      offset: 0\n    },\n    cuin: {\n      name: 'cuin',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 1.6387064e-5,\n      offset: 0\n    },\n    // 1.6387064e-5 m3\n    cuft: {\n      name: 'cuft',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.028316846592,\n      offset: 0\n    },\n    // 28.316 846 592 L\n    cuyd: {\n      name: 'cuyd',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.764554857984,\n      offset: 0\n    },\n    // 764.554 857 984 L\n    teaspoon: {\n      name: 'teaspoon',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.000005,\n      offset: 0\n    },\n    // 5 mL\n    tablespoon: {\n      name: 'tablespoon',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.000015,\n      offset: 0\n    },\n    // 15 mL\n    // {name: 'cup', base: BASE_UNITS.VOLUME, prefixes: PREFIXES.NONE, value: 0.000240, offset: 0}, // 240 mL  // not possible, we have already another cup\n    drop: {\n      name: 'drop',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 5e-8,\n      offset: 0\n    },\n    // 0.05 mL = 5e-8 m3\n    gtt: {\n      name: 'gtt',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 5e-8,\n      offset: 0\n    },\n    // 0.05 mL = 5e-8 m3\n    // Liquid volume\n    minim: {\n      name: 'minim',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.00000006161152,\n      offset: 0\n    },\n    // 0.06161152 mL\n    fluiddram: {\n      name: 'fluiddram',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.0000036966911,\n      offset: 0\n    },\n    // 3.696691 mL\n    fluidounce: {\n      name: 'fluidounce',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.00002957353,\n      offset: 0\n    },\n    // 29.57353 mL\n    gill: {\n      name: 'gill',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.0001182941,\n      offset: 0\n    },\n    // 118.2941 mL\n    cc: {\n      name: 'cc',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 1e-6,\n      offset: 0\n    },\n    // 1e-6 L\n    cup: {\n      name: 'cup',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.0002365882,\n      offset: 0\n    },\n    // 236.5882 mL\n    pint: {\n      name: 'pint',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.0004731765,\n      offset: 0\n    },\n    // 473.1765 mL\n    quart: {\n      name: 'quart',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.0009463529,\n      offset: 0\n    },\n    // 946.3529 mL\n    gallon: {\n      name: 'gallon',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.003785412,\n      offset: 0\n    },\n    // 3.785412 L\n    beerbarrel: {\n      name: 'beerbarrel',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.1173478,\n      offset: 0\n    },\n    // 117.3478 L\n    oilbarrel: {\n      name: 'oilbarrel',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.1589873,\n      offset: 0\n    },\n    // 158.9873 L\n    hogshead: {\n      name: 'hogshead',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.2384810,\n      offset: 0\n    },\n    // 238.4810 L\n    // {name: 'min', base: BASE_UNITS.VOLUME, prefixes: PREFIXES.NONE, value: 0.00000006161152, offset: 0}, // 0.06161152 mL // min is already in use as minute\n    fldr: {\n      name: 'fldr',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.0000036966911,\n      offset: 0\n    },\n    // 3.696691 mL\n    floz: {\n      name: 'floz',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.00002957353,\n      offset: 0\n    },\n    // 29.57353 mL\n    gi: {\n      name: 'gi',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.0001182941,\n      offset: 0\n    },\n    // 118.2941 mL\n    cp: {\n      name: 'cp',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.0002365882,\n      offset: 0\n    },\n    // 236.5882 mL\n    pt: {\n      name: 'pt',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.0004731765,\n      offset: 0\n    },\n    // 473.1765 mL\n    qt: {\n      name: 'qt',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.0009463529,\n      offset: 0\n    },\n    // 946.3529 mL\n    gal: {\n      name: 'gal',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.003785412,\n      offset: 0\n    },\n    // 3.785412 L\n    bbl: {\n      name: 'bbl',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.1173478,\n      offset: 0\n    },\n    // 117.3478 L\n    obl: {\n      name: 'obl',\n      base: BASE_UNITS.VOLUME,\n      prefixes: PREFIXES.NONE,\n      value: 0.1589873,\n      offset: 0\n    },\n    // 158.9873 L\n    // {name: 'hogshead', base: BASE_UNITS.VOLUME, prefixes: PREFIXES.NONE, value: 0.2384810, offset: 0}, // 238.4810 L // TODO: hh?\n    // Mass\n    g: {\n      name: 'g',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.SHORT,\n      value: 0.001,\n      offset: 0\n    },\n    gram: {\n      name: 'gram',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.LONG,\n      value: 0.001,\n      offset: 0\n    },\n    ton: {\n      name: 'ton',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.SHORT,\n      value: 907.18474,\n      offset: 0\n    },\n    tonne: {\n      name: 'tonne',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.SHORT,\n      value: 1000,\n      offset: 0\n    },\n    grain: {\n      name: 'grain',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 64.79891e-6,\n      offset: 0\n    },\n    dram: {\n      name: 'dram',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 1.7718451953125e-3,\n      offset: 0\n    },\n    ounce: {\n      name: 'ounce',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 28.349523125e-3,\n      offset: 0\n    },\n    poundmass: {\n      name: 'poundmass',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 453.59237e-3,\n      offset: 0\n    },\n    hundredweight: {\n      name: 'hundredweight',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 45.359237,\n      offset: 0\n    },\n    stick: {\n      name: 'stick',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 115e-3,\n      offset: 0\n    },\n    stone: {\n      name: 'stone',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 6.35029318,\n      offset: 0\n    },\n    gr: {\n      name: 'gr',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 64.79891e-6,\n      offset: 0\n    },\n    dr: {\n      name: 'dr',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 1.7718451953125e-3,\n      offset: 0\n    },\n    oz: {\n      name: 'oz',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 28.349523125e-3,\n      offset: 0\n    },\n    lbm: {\n      name: 'lbm',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 453.59237e-3,\n      offset: 0\n    },\n    cwt: {\n      name: 'cwt',\n      base: BASE_UNITS.MASS,\n      prefixes: PREFIXES.NONE,\n      value: 45.359237,\n      offset: 0\n    },\n    // Time\n    s: {\n      name: 's',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    min: {\n      name: 'min',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 60,\n      offset: 0\n    },\n    h: {\n      name: 'h',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 3600,\n      offset: 0\n    },\n    second: {\n      name: 'second',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    sec: {\n      name: 'sec',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    minute: {\n      name: 'minute',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 60,\n      offset: 0\n    },\n    hour: {\n      name: 'hour',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 3600,\n      offset: 0\n    },\n    day: {\n      name: 'day',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 86400,\n      offset: 0\n    },\n    week: {\n      name: 'week',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 7 * 86400,\n      offset: 0\n    },\n    month: {\n      name: 'month',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 2629800,\n      // 1/12th of Julian year\n      offset: 0\n    },\n    year: {\n      name: 'year',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 31557600,\n      // Julian year\n      offset: 0\n    },\n    decade: {\n      name: 'decade',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 315576000,\n      // Julian decade\n      offset: 0\n    },\n    century: {\n      name: 'century',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 3155760000,\n      // Julian century\n      offset: 0\n    },\n    millennium: {\n      name: 'millennium',\n      base: BASE_UNITS.TIME,\n      prefixes: PREFIXES.NONE,\n      value: 31557600000,\n      // Julian millennium\n      offset: 0\n    },\n    // Frequency\n    hertz: {\n      name: 'Hertz',\n      base: BASE_UNITS.FREQUENCY,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0,\n      reciprocal: true\n    },\n    Hz: {\n      name: 'Hz',\n      base: BASE_UNITS.FREQUENCY,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0,\n      reciprocal: true\n    },\n    // Angle\n    rad: {\n      name: 'rad',\n      base: BASE_UNITS.ANGLE,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    radian: {\n      name: 'radian',\n      base: BASE_UNITS.ANGLE,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    // deg = rad / (2*pi) * 360 = rad / 0.017453292519943295769236907684888\n    deg: {\n      name: 'deg',\n      base: BASE_UNITS.ANGLE,\n      prefixes: PREFIXES.SHORT,\n      value: null,\n      // will be filled in by calculateAngleValues()\n      offset: 0\n    },\n    degree: {\n      name: 'degree',\n      base: BASE_UNITS.ANGLE,\n      prefixes: PREFIXES.LONG,\n      value: null,\n      // will be filled in by calculateAngleValues()\n      offset: 0\n    },\n    // grad = rad / (2*pi) * 400  = rad / 0.015707963267948966192313216916399\n    grad: {\n      name: 'grad',\n      base: BASE_UNITS.ANGLE,\n      prefixes: PREFIXES.SHORT,\n      value: null,\n      // will be filled in by calculateAngleValues()\n      offset: 0\n    },\n    gradian: {\n      name: 'gradian',\n      base: BASE_UNITS.ANGLE,\n      prefixes: PREFIXES.LONG,\n      value: null,\n      // will be filled in by calculateAngleValues()\n      offset: 0\n    },\n    // cycle = rad / (2*pi) = rad / 6.2831853071795864769252867665793\n    cycle: {\n      name: 'cycle',\n      base: BASE_UNITS.ANGLE,\n      prefixes: PREFIXES.NONE,\n      value: null,\n      // will be filled in by calculateAngleValues()\n      offset: 0\n    },\n    // arcsec = rad / (3600 * (360 / 2 * pi)) = rad / 0.0000048481368110953599358991410235795\n    arcsec: {\n      name: 'arcsec',\n      base: BASE_UNITS.ANGLE,\n      prefixes: PREFIXES.NONE,\n      value: null,\n      // will be filled in by calculateAngleValues()\n      offset: 0\n    },\n    // arcmin = rad / (60 * (360 / 2 * pi)) = rad / 0.00029088820866572159615394846141477\n    arcmin: {\n      name: 'arcmin',\n      base: BASE_UNITS.ANGLE,\n      prefixes: PREFIXES.NONE,\n      value: null,\n      // will be filled in by calculateAngleValues()\n      offset: 0\n    },\n    // Electric current\n    A: {\n      name: 'A',\n      base: BASE_UNITS.CURRENT,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    ampere: {\n      name: 'ampere',\n      base: BASE_UNITS.CURRENT,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    // Temperature\n    // K(C) = °C + 273.15\n    // K(F) = (°F + 459.67) / 1.8\n    // K(R) = °R / 1.8\n    K: {\n      name: 'K',\n      base: BASE_UNITS.TEMPERATURE,\n      prefixes: PREFIXES.NONE,\n      value: 1,\n      offset: 0\n    },\n    degC: {\n      name: 'degC',\n      base: BASE_UNITS.TEMPERATURE,\n      prefixes: PREFIXES.NONE,\n      value: 1,\n      offset: 273.15\n    },\n    degF: {\n      name: 'degF',\n      base: BASE_UNITS.TEMPERATURE,\n      prefixes: PREFIXES.NONE,\n      value: 1 / 1.8,\n      offset: 459.67\n    },\n    degR: {\n      name: 'degR',\n      base: BASE_UNITS.TEMPERATURE,\n      prefixes: PREFIXES.NONE,\n      value: 1 / 1.8,\n      offset: 0\n    },\n    kelvin: {\n      name: 'kelvin',\n      base: BASE_UNITS.TEMPERATURE,\n      prefixes: PREFIXES.NONE,\n      value: 1,\n      offset: 0\n    },\n    celsius: {\n      name: 'celsius',\n      base: BASE_UNITS.TEMPERATURE,\n      prefixes: PREFIXES.NONE,\n      value: 1,\n      offset: 273.15\n    },\n    fahrenheit: {\n      name: 'fahrenheit',\n      base: BASE_UNITS.TEMPERATURE,\n      prefixes: PREFIXES.NONE,\n      value: 1 / 1.8,\n      offset: 459.67\n    },\n    rankine: {\n      name: 'rankine',\n      base: BASE_UNITS.TEMPERATURE,\n      prefixes: PREFIXES.NONE,\n      value: 1 / 1.8,\n      offset: 0\n    },\n    // amount of substance\n    mol: {\n      name: 'mol',\n      base: BASE_UNITS.AMOUNT_OF_SUBSTANCE,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    mole: {\n      name: 'mole',\n      base: BASE_UNITS.AMOUNT_OF_SUBSTANCE,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    // luminous intensity\n    cd: {\n      name: 'cd',\n      base: BASE_UNITS.LUMINOUS_INTENSITY,\n      prefixes: PREFIXES.NONE,\n      value: 1,\n      offset: 0\n    },\n    candela: {\n      name: 'candela',\n      base: BASE_UNITS.LUMINOUS_INTENSITY,\n      prefixes: PREFIXES.NONE,\n      value: 1,\n      offset: 0\n    },\n    // TODO: units STERADIAN\n    // {name: 'sr', base: BASE_UNITS.STERADIAN, prefixes: PREFIXES.NONE, value: 1, offset: 0},\n    // {name: 'steradian', base: BASE_UNITS.STERADIAN, prefixes: PREFIXES.NONE, value: 1, offset: 0},\n    // Force\n    N: {\n      name: 'N',\n      base: BASE_UNITS.FORCE,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    newton: {\n      name: 'newton',\n      base: BASE_UNITS.FORCE,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    dyn: {\n      name: 'dyn',\n      base: BASE_UNITS.FORCE,\n      prefixes: PREFIXES.SHORT,\n      value: 0.00001,\n      offset: 0\n    },\n    dyne: {\n      name: 'dyne',\n      base: BASE_UNITS.FORCE,\n      prefixes: PREFIXES.LONG,\n      value: 0.00001,\n      offset: 0\n    },\n    lbf: {\n      name: 'lbf',\n      base: BASE_UNITS.FORCE,\n      prefixes: PREFIXES.NONE,\n      value: 4.4482216152605,\n      offset: 0\n    },\n    poundforce: {\n      name: 'poundforce',\n      base: BASE_UNITS.FORCE,\n      prefixes: PREFIXES.NONE,\n      value: 4.4482216152605,\n      offset: 0\n    },\n    kip: {\n      name: 'kip',\n      base: BASE_UNITS.FORCE,\n      prefixes: PREFIXES.LONG,\n      value: 4448.2216,\n      offset: 0\n    },\n    // Energy\n    J: {\n      name: 'J',\n      base: BASE_UNITS.ENERGY,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    joule: {\n      name: 'joule',\n      base: BASE_UNITS.ENERGY,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    erg: {\n      name: 'erg',\n      base: BASE_UNITS.ENERGY,\n      prefixes: PREFIXES.NONE,\n      value: 1e-7,\n      offset: 0\n    },\n    Wh: {\n      name: 'Wh',\n      base: BASE_UNITS.ENERGY,\n      prefixes: PREFIXES.SHORT,\n      value: 3600,\n      offset: 0\n    },\n    BTU: {\n      name: 'BTU',\n      base: BASE_UNITS.ENERGY,\n      prefixes: PREFIXES.BTU,\n      value: 1055.05585262,\n      offset: 0\n    },\n    eV: {\n      name: 'eV',\n      base: BASE_UNITS.ENERGY,\n      prefixes: PREFIXES.SHORT,\n      value: 1.602176565e-19,\n      offset: 0\n    },\n    electronvolt: {\n      name: 'electronvolt',\n      base: BASE_UNITS.ENERGY,\n      prefixes: PREFIXES.LONG,\n      value: 1.602176565e-19,\n      offset: 0\n    },\n    // Power\n    W: {\n      name: 'W',\n      base: BASE_UNITS.POWER,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    watt: {\n      name: 'watt',\n      base: BASE_UNITS.POWER,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    hp: {\n      name: 'hp',\n      base: BASE_UNITS.POWER,\n      prefixes: PREFIXES.NONE,\n      value: 745.6998715386,\n      offset: 0\n    },\n    // Electrical power units\n    VAR: {\n      name: 'VAR',\n      base: BASE_UNITS.POWER,\n      prefixes: PREFIXES.SHORT,\n      value: Complex.I,\n      offset: 0\n    },\n    VA: {\n      name: 'VA',\n      base: BASE_UNITS.POWER,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    // Pressure\n    Pa: {\n      name: 'Pa',\n      base: BASE_UNITS.PRESSURE,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    psi: {\n      name: 'psi',\n      base: BASE_UNITS.PRESSURE,\n      prefixes: PREFIXES.NONE,\n      value: 6894.75729276459,\n      offset: 0\n    },\n    atm: {\n      name: 'atm',\n      base: BASE_UNITS.PRESSURE,\n      prefixes: PREFIXES.NONE,\n      value: 101325,\n      offset: 0\n    },\n    bar: {\n      name: 'bar',\n      base: BASE_UNITS.PRESSURE,\n      prefixes: PREFIXES.SHORTLONG,\n      value: 100000,\n      offset: 0\n    },\n    torr: {\n      name: 'torr',\n      base: BASE_UNITS.PRESSURE,\n      prefixes: PREFIXES.NONE,\n      value: 133.322,\n      offset: 0\n    },\n    mmHg: {\n      name: 'mmHg',\n      base: BASE_UNITS.PRESSURE,\n      prefixes: PREFIXES.NONE,\n      value: 133.322,\n      offset: 0\n    },\n    mmH2O: {\n      name: 'mmH2O',\n      base: BASE_UNITS.PRESSURE,\n      prefixes: PREFIXES.NONE,\n      value: 9.80665,\n      offset: 0\n    },\n    cmH2O: {\n      name: 'cmH2O',\n      base: BASE_UNITS.PRESSURE,\n      prefixes: PREFIXES.NONE,\n      value: 98.0665,\n      offset: 0\n    },\n    // Electric charge\n    coulomb: {\n      name: 'coulomb',\n      base: BASE_UNITS.ELECTRIC_CHARGE,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    C: {\n      name: 'C',\n      base: BASE_UNITS.ELECTRIC_CHARGE,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    // Electric capacitance\n    farad: {\n      name: 'farad',\n      base: BASE_UNITS.ELECTRIC_CAPACITANCE,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    F: {\n      name: 'F',\n      base: BASE_UNITS.ELECTRIC_CAPACITANCE,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    // Electric potential\n    volt: {\n      name: 'volt',\n      base: BASE_UNITS.ELECTRIC_POTENTIAL,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    V: {\n      name: 'V',\n      base: BASE_UNITS.ELECTRIC_POTENTIAL,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    // Electric resistance\n    ohm: {\n      name: 'ohm',\n      base: BASE_UNITS.ELECTRIC_RESISTANCE,\n      prefixes: PREFIXES.SHORTLONG,\n      // Both Mohm and megaohm are acceptable\n      value: 1,\n      offset: 0\n    },\n\n    /*\n     * Unicode breaks in browsers if charset is not specified\n    Ω: {\n      name: 'Ω',\n      base: BASE_UNITS.ELECTRIC_RESISTANCE,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    */\n    // Electric inductance\n    henry: {\n      name: 'henry',\n      base: BASE_UNITS.ELECTRIC_INDUCTANCE,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    H: {\n      name: 'H',\n      base: BASE_UNITS.ELECTRIC_INDUCTANCE,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    // Electric conductance\n    siemens: {\n      name: 'siemens',\n      base: BASE_UNITS.ELECTRIC_CONDUCTANCE,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    S: {\n      name: 'S',\n      base: BASE_UNITS.ELECTRIC_CONDUCTANCE,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    // Magnetic flux\n    weber: {\n      name: 'weber',\n      base: BASE_UNITS.MAGNETIC_FLUX,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    Wb: {\n      name: 'Wb',\n      base: BASE_UNITS.MAGNETIC_FLUX,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    // Magnetic flux density\n    tesla: {\n      name: 'tesla',\n      base: BASE_UNITS.MAGNETIC_FLUX_DENSITY,\n      prefixes: PREFIXES.LONG,\n      value: 1,\n      offset: 0\n    },\n    T: {\n      name: 'T',\n      base: BASE_UNITS.MAGNETIC_FLUX_DENSITY,\n      prefixes: PREFIXES.SHORT,\n      value: 1,\n      offset: 0\n    },\n    // Binary\n    b: {\n      name: 'b',\n      base: BASE_UNITS.BIT,\n      prefixes: PREFIXES.BINARY_SHORT,\n      value: 1,\n      offset: 0\n    },\n    bits: {\n      name: 'bits',\n      base: BASE_UNITS.BIT,\n      prefixes: PREFIXES.BINARY_LONG,\n      value: 1,\n      offset: 0\n    },\n    B: {\n      name: 'B',\n      base: BASE_UNITS.BIT,\n      prefixes: PREFIXES.BINARY_SHORT,\n      value: 8,\n      offset: 0\n    },\n    bytes: {\n      name: 'bytes',\n      base: BASE_UNITS.BIT,\n      prefixes: PREFIXES.BINARY_LONG,\n      value: 8,\n      offset: 0 // aliases (formerly plurals)\n\n    }\n  };\n  var ALIASES = {\n    meters: 'meter',\n    inches: 'inch',\n    feet: 'foot',\n    yards: 'yard',\n    miles: 'mile',\n    links: 'link',\n    rods: 'rod',\n    chains: 'chain',\n    angstroms: 'angstrom',\n    lt: 'l',\n    litres: 'litre',\n    liter: 'litre',\n    liters: 'litre',\n    teaspoons: 'teaspoon',\n    tablespoons: 'tablespoon',\n    minims: 'minim',\n    fluiddrams: 'fluiddram',\n    fluidounces: 'fluidounce',\n    gills: 'gill',\n    cups: 'cup',\n    pints: 'pint',\n    quarts: 'quart',\n    gallons: 'gallon',\n    beerbarrels: 'beerbarrel',\n    oilbarrels: 'oilbarrel',\n    hogsheads: 'hogshead',\n    gtts: 'gtt',\n    grams: 'gram',\n    tons: 'ton',\n    tonnes: 'tonne',\n    grains: 'grain',\n    drams: 'dram',\n    ounces: 'ounce',\n    poundmasses: 'poundmass',\n    hundredweights: 'hundredweight',\n    sticks: 'stick',\n    lb: 'lbm',\n    lbs: 'lbm',\n    kips: 'kip',\n    acres: 'acre',\n    hectares: 'hectare',\n    sqfeet: 'sqft',\n    sqyard: 'sqyd',\n    sqmile: 'sqmi',\n    sqmiles: 'sqmi',\n    mmhg: 'mmHg',\n    mmh2o: 'mmH2O',\n    cmh2o: 'cmH2O',\n    seconds: 'second',\n    secs: 'second',\n    minutes: 'minute',\n    mins: 'minute',\n    hours: 'hour',\n    hr: 'hour',\n    hrs: 'hour',\n    days: 'day',\n    weeks: 'week',\n    months: 'month',\n    years: 'year',\n    decades: 'decade',\n    centuries: 'century',\n    millennia: 'millennium',\n    hertz: 'hertz',\n    radians: 'radian',\n    degrees: 'degree',\n    gradians: 'gradian',\n    cycles: 'cycle',\n    arcsecond: 'arcsec',\n    arcseconds: 'arcsec',\n    arcminute: 'arcmin',\n    arcminutes: 'arcmin',\n    BTUs: 'BTU',\n    watts: 'watt',\n    joules: 'joule',\n    amperes: 'ampere',\n    coulombs: 'coulomb',\n    volts: 'volt',\n    ohms: 'ohm',\n    farads: 'farad',\n    webers: 'weber',\n    teslas: 'tesla',\n    electronvolts: 'electronvolt',\n    moles: 'mole'\n    /**\n     * Calculate the values for the angle units.\n     * Value is calculated as number or BigNumber depending on the configuration\n     * @param {{number: 'number' | 'BigNumber'}} config\n     */\n\n  };\n\n  function calculateAngleValues(config) {\n    if (config.number === 'BigNumber') {\n      var pi = constants.pi(type.BigNumber);\n      UNITS.rad.value = new type.BigNumber(1);\n      UNITS.deg.value = pi.div(180); // 2 * pi / 360\n\n      UNITS.grad.value = pi.div(200); // 2 * pi / 400\n\n      UNITS.cycle.value = pi.times(2); // 2 * pi\n\n      UNITS.arcsec.value = pi.div(648000); // 2 * pi / 360 / 3600\n\n      UNITS.arcmin.value = pi.div(10800); // 2 * pi / 360 / 60\n    } else {\n      // number\n      UNITS.rad.value = 1;\n      UNITS.deg.value = Math.PI / 180; // 2 * pi / 360\n\n      UNITS.grad.value = Math.PI / 200; // 2 * pi / 400\n\n      UNITS.cycle.value = Math.PI * 2; // 2 * pi\n\n      UNITS.arcsec.value = Math.PI / 648000; // 2 * pi / 360 / 3600\n\n      UNITS.arcmin.value = Math.PI / 10800; // 2 * pi / 360 / 60\n    } // copy to the full names of the angles\n\n\n    UNITS.radian.value = UNITS.rad.value;\n    UNITS.degree.value = UNITS.deg.value;\n    UNITS.gradian.value = UNITS.grad.value;\n  } // apply the angle values now\n\n\n  calculateAngleValues(config); // recalculate the values on change of configuration\n\n  math.on('config', function (curr, prev) {\n    if (curr.number !== prev.number) {\n      calculateAngleValues(curr);\n    }\n  });\n  /**\n   * A unit system is a set of dimensionally independent base units plus a set of derived units, formed by multiplication and division of the base units, that are by convention used with the unit system.\n   * A user perhaps could issue a command to select a preferred unit system, or use the default (see below).\n   * Auto unit system: The default unit system is updated on the fly anytime a unit is parsed. The corresponding unit in the default unit system is updated, so that answers are given in the same units the user supplies.\n   */\n\n  var UNIT_SYSTEMS = {\n    si: {\n      // Base units\n      NONE: {\n        unit: UNIT_NONE,\n        prefix: PREFIXES.NONE['']\n      },\n      LENGTH: {\n        unit: UNITS.m,\n        prefix: PREFIXES.SHORT['']\n      },\n      MASS: {\n        unit: UNITS.g,\n        prefix: PREFIXES.SHORT['k']\n      },\n      TIME: {\n        unit: UNITS.s,\n        prefix: PREFIXES.SHORT['']\n      },\n      CURRENT: {\n        unit: UNITS.A,\n        prefix: PREFIXES.SHORT['']\n      },\n      TEMPERATURE: {\n        unit: UNITS.K,\n        prefix: PREFIXES.SHORT['']\n      },\n      LUMINOUS_INTENSITY: {\n        unit: UNITS.cd,\n        prefix: PREFIXES.SHORT['']\n      },\n      AMOUNT_OF_SUBSTANCE: {\n        unit: UNITS.mol,\n        prefix: PREFIXES.SHORT['']\n      },\n      ANGLE: {\n        unit: UNITS.rad,\n        prefix: PREFIXES.SHORT['']\n      },\n      BIT: {\n        unit: UNITS.bit,\n        prefix: PREFIXES.SHORT['']\n      },\n      // Derived units\n      FORCE: {\n        unit: UNITS.N,\n        prefix: PREFIXES.SHORT['']\n      },\n      ENERGY: {\n        unit: UNITS.J,\n        prefix: PREFIXES.SHORT['']\n      },\n      POWER: {\n        unit: UNITS.W,\n        prefix: PREFIXES.SHORT['']\n      },\n      PRESSURE: {\n        unit: UNITS.Pa,\n        prefix: PREFIXES.SHORT['']\n      },\n      ELECTRIC_CHARGE: {\n        unit: UNITS.C,\n        prefix: PREFIXES.SHORT['']\n      },\n      ELECTRIC_CAPACITANCE: {\n        unit: UNITS.F,\n        prefix: PREFIXES.SHORT['']\n      },\n      ELECTRIC_POTENTIAL: {\n        unit: UNITS.V,\n        prefix: PREFIXES.SHORT['']\n      },\n      ELECTRIC_RESISTANCE: {\n        unit: UNITS.ohm,\n        prefix: PREFIXES.SHORT['']\n      },\n      ELECTRIC_INDUCTANCE: {\n        unit: UNITS.H,\n        prefix: PREFIXES.SHORT['']\n      },\n      ELECTRIC_CONDUCTANCE: {\n        unit: UNITS.S,\n        prefix: PREFIXES.SHORT['']\n      },\n      MAGNETIC_FLUX: {\n        unit: UNITS.Wb,\n        prefix: PREFIXES.SHORT['']\n      },\n      MAGNETIC_FLUX_DENSITY: {\n        unit: UNITS.T,\n        prefix: PREFIXES.SHORT['']\n      },\n      FREQUENCY: {\n        unit: UNITS.Hz,\n        prefix: PREFIXES.SHORT['']\n      } // Clone to create the other unit systems\n\n    }\n  };\n  UNIT_SYSTEMS.cgs = JSON.parse(JSON.stringify(UNIT_SYSTEMS.si));\n  UNIT_SYSTEMS.cgs.LENGTH = {\n    unit: UNITS.m,\n    prefix: PREFIXES.SHORT['c']\n  };\n  UNIT_SYSTEMS.cgs.MASS = {\n    unit: UNITS.g,\n    prefix: PREFIXES.SHORT['']\n  };\n  UNIT_SYSTEMS.cgs.FORCE = {\n    unit: UNITS.dyn,\n    prefix: PREFIXES.SHORT['']\n  };\n  UNIT_SYSTEMS.cgs.ENERGY = {\n    unit: UNITS.erg,\n    prefix: PREFIXES.NONE[''] // there are wholly 4 unique cgs systems for electricity and magnetism,\n    // so let's not worry about it unless somebody complains\n\n  };\n  UNIT_SYSTEMS.us = JSON.parse(JSON.stringify(UNIT_SYSTEMS.si));\n  UNIT_SYSTEMS.us.LENGTH = {\n    unit: UNITS.ft,\n    prefix: PREFIXES.NONE['']\n  };\n  UNIT_SYSTEMS.us.MASS = {\n    unit: UNITS.lbm,\n    prefix: PREFIXES.NONE['']\n  };\n  UNIT_SYSTEMS.us.TEMPERATURE = {\n    unit: UNITS.degF,\n    prefix: PREFIXES.NONE['']\n  };\n  UNIT_SYSTEMS.us.FORCE = {\n    unit: UNITS.lbf,\n    prefix: PREFIXES.NONE['']\n  };\n  UNIT_SYSTEMS.us.ENERGY = {\n    unit: UNITS.BTU,\n    prefix: PREFIXES.BTU['']\n  };\n  UNIT_SYSTEMS.us.POWER = {\n    unit: UNITS.hp,\n    prefix: PREFIXES.NONE['']\n  };\n  UNIT_SYSTEMS.us.PRESSURE = {\n    unit: UNITS.psi,\n    prefix: PREFIXES.NONE[''] // Add additional unit systems here.\n    // Choose a unit system to seed the auto unit system.\n\n  };\n  UNIT_SYSTEMS.auto = JSON.parse(JSON.stringify(UNIT_SYSTEMS.si)); // Set the current unit system\n\n  var currentUnitSystem = UNIT_SYSTEMS.auto;\n  /**\n   * Set a unit system for formatting derived units.\n   * @param {string} [name] The name of the unit system.\n   */\n\n  Unit.setUnitSystem = function (name) {\n    if (UNIT_SYSTEMS.hasOwnProperty(name)) {\n      currentUnitSystem = UNIT_SYSTEMS[name];\n    } else {\n      throw new Error('Unit system ' + name + ' does not exist. Choices are: ' + Object.keys(UNIT_SYSTEMS).join(', '));\n    }\n  };\n  /**\n   * Return the current unit system.\n   * @return {string} The current unit system.\n   */\n\n\n  Unit.getUnitSystem = function () {\n    for (var _key3 in UNIT_SYSTEMS) {\n      if (UNIT_SYSTEMS[_key3] === currentUnitSystem) {\n        return _key3;\n      }\n    }\n  };\n  /**\n   * Converters to convert from number to an other numeric type like BigNumber\n   * or Fraction\n   */\n\n\n  Unit.typeConverters = {\n    BigNumber: function BigNumber(x) {\n      return new type.BigNumber(x + ''); // stringify to prevent constructor error\n    },\n    Fraction: function Fraction(x) {\n      return new type.Fraction(x);\n    },\n    Complex: function Complex(x) {\n      return x;\n    },\n    number: function number(x) {\n      return x;\n    }\n    /**\n     * Retrieve the right convertor function corresponding with the type\n     * of provided exampleValue.\n     *\n     * @param {string} type   A string 'number', 'BigNumber', or 'Fraction'\n     *                        In case of an unknown type,\n     * @return {Function}\n     */\n\n  };\n\n  Unit._getNumberConverter = function (type) {\n    if (!Unit.typeConverters[type]) {\n      throw new TypeError('Unsupported type \"' + type + '\"');\n    }\n\n    return Unit.typeConverters[type];\n  }; // Add dimensions to each built-in unit\n\n\n  for (var _key4 in UNITS) {\n    var unit = UNITS[_key4];\n    unit.dimensions = unit.base.dimensions;\n  } // Create aliases\n\n\n  for (var name in ALIASES) {\n    if (ALIASES.hasOwnProperty(name)) {\n      var _unit2 = UNITS[ALIASES[name]];\n      var alias = {};\n\n      for (var _key5 in _unit2) {\n        if (_unit2.hasOwnProperty(_key5)) {\n          alias[_key5] = _unit2[_key5];\n        }\n      }\n\n      alias.name = name;\n      UNITS[name] = alias;\n    }\n  }\n\n  function assertUnitNameIsValid(name) {\n    for (var i = 0; i < name.length; i++) {\n      var _c = name.charAt(i);\n\n      var isValidAlpha = function isValidAlpha(p) {\n        return /^[a-zA-Z]$/.test(p);\n      };\n\n      var _isDigit = function _isDigit(c) {\n        return c >= '0' && c <= '9';\n      };\n\n      if (i === 0 && !isValidAlpha(_c)) {\n        throw new Error('Invalid unit name (must begin with alpha character): \"' + name + '\"');\n      }\n\n      if (i > 0 && !(isValidAlpha(_c) || _isDigit(_c))) {\n        throw new Error('Invalid unit name (only alphanumeric characters are allowed): \"' + name + '\"');\n      }\n    }\n  }\n  /**\n   * Wrapper around createUnitSingle.\n   * Example:\n   *  createUnit({\n   *    foo: { },\n   *    bar: {\n   *      definition: 'kg/foo',\n   *      aliases: ['ba', 'barr', 'bars'],\n   *      offset: 200\n   *    },\n   *    baz: '4 bar'\n   *  },\n   *  {\n   *    override: true\n   *  })\n   * @param {object} obj      Object map. Each key becomes a unit which is defined by its value.\n   * @param {object} options\n   */\n\n\n  Unit.createUnit = function (obj, options) {\n    if (_typeof(obj) !== 'object') {\n      throw new TypeError(\"createUnit expects first parameter to be of type 'Object'\");\n    } // Remove all units and aliases we are overriding\n\n\n    if (options && options.override) {\n      for (var _key6 in obj) {\n        if (obj.hasOwnProperty(_key6)) {\n          Unit.deleteUnit(_key6);\n        }\n\n        if (obj[_key6].aliases) {\n          for (var i = 0; i < obj[_key6].aliases.length; i++) {\n            Unit.deleteUnit(obj[_key6].aliases[i]);\n          }\n        }\n      }\n    } // TODO: traverse multiple times until all units have been added\n\n\n    var lastUnit;\n\n    for (var _key7 in obj) {\n      if (obj.hasOwnProperty(_key7)) {\n        lastUnit = Unit.createUnitSingle(_key7, obj[_key7]);\n      }\n    }\n\n    return lastUnit;\n  };\n  /**\n   * Create a user-defined unit and register it with the Unit type.\n   * Example:\n   *  createUnitSingle('knot', '0.514444444 m/s')\n   *  createUnitSingle('acre', new Unit(43560, 'ft^2'))\n   *\n   * @param {string} name      The name of the new unit. Must be unique. Example: 'knot'\n   * @param {string, Unit} definition      Definition of the unit in terms of existing units. For example, '0.514444444 m / s'.\n   * @param {Object} options   (optional) An object containing any of the following properties:\n   *     prefixes {string} \"none\", \"short\", \"long\", \"binary_short\", or \"binary_long\". The default is \"none\".\n   *     aliases {Array} Array of strings. Example: ['knots', 'kt', 'kts']\n   *     offset {Numeric} An offset to apply when converting from the unit. For example, the offset for celsius is 273.15 and the offset for farhenheit is 459.67. Default is 0.\n   *\n   * @return {Unit}\n   */\n\n\n  Unit.createUnitSingle = function (name, obj, options) {\n    if (typeof obj === 'undefined' || obj === null) {\n      obj = {};\n    }\n\n    if (typeof name !== 'string') {\n      throw new TypeError(\"createUnitSingle expects first parameter to be of type 'string'\");\n    } // Check collisions with existing units\n\n\n    if (UNITS.hasOwnProperty(name)) {\n      throw new Error('Cannot create unit \"' + name + '\": a unit with that name already exists');\n    } // TODO: Validate name for collisions with other built-in functions (like abs or cos, for example), and for acceptable variable names. For example, '42' is probably not a valid unit. Nor is '%', since it is also an operator.\n\n\n    assertUnitNameIsValid(name);\n    var defUnit = null; // The Unit from which the new unit will be created.\n\n    var aliases = [];\n    var offset = 0;\n    var definition;\n    var prefixes;\n\n    if (obj && obj.type === 'Unit') {\n      defUnit = obj.clone();\n    } else if (typeof obj === 'string') {\n      if (obj !== '') {\n        definition = obj;\n      }\n    } else if (_typeof(obj) === 'object') {\n      definition = obj.definition;\n      prefixes = obj.prefixes;\n      offset = obj.offset;\n\n      if (obj.aliases) {\n        aliases = obj.aliases.valueOf(); // aliases could be a Matrix, so convert to Array\n      }\n    } else {\n      throw new TypeError('Cannot create unit \"' + name + '\" from \"' + obj.toString() + '\": expecting \"string\" or \"Unit\" or \"Object\"');\n    }\n\n    if (aliases) {\n      for (var i = 0; i < aliases.length; i++) {\n        if (UNITS.hasOwnProperty(aliases[i])) {\n          throw new Error('Cannot create alias \"' + aliases[i] + '\": a unit with that name already exists');\n        }\n      }\n    }\n\n    if (definition && typeof definition === 'string' && !defUnit) {\n      try {\n        defUnit = Unit.parse(definition, {\n          allowNoUnits: true\n        });\n      } catch (ex) {\n        ex.message = 'Could not create unit \"' + name + '\" from \"' + definition + '\": ' + ex.message;\n        throw ex;\n      }\n    } else if (definition && definition.type === 'Unit') {\n      defUnit = definition.clone();\n    }\n\n    aliases = aliases || [];\n    offset = offset || 0;\n\n    if (prefixes && prefixes.toUpperCase) {\n      prefixes = PREFIXES[prefixes.toUpperCase()] || PREFIXES.NONE;\n    } else {\n      prefixes = PREFIXES.NONE;\n    } // If defUnit is null, it is because the user did not\n    // specify a defintion. So create a new base dimension.\n\n\n    var newUnit = {};\n\n    if (!defUnit) {\n      // Add a new base dimension\n      var baseName = name + '_STUFF'; // foo --> foo_STUFF, or the essence of foo\n\n      if (BASE_DIMENSIONS.indexOf(baseName) >= 0) {\n        throw new Error('Cannot create new base unit \"' + name + '\": a base unit with that name already exists (and cannot be overridden)');\n      }\n\n      BASE_DIMENSIONS.push(baseName); // Push 0 onto existing base units\n\n      for (var b in BASE_UNITS) {\n        if (BASE_UNITS.hasOwnProperty(b)) {\n          BASE_UNITS[b].dimensions[BASE_DIMENSIONS.length - 1] = 0;\n        }\n      } // Add the new base unit\n\n\n      var newBaseUnit = {\n        dimensions: []\n      };\n\n      for (var _i6 = 0; _i6 < BASE_DIMENSIONS.length; _i6++) {\n        newBaseUnit.dimensions[_i6] = 0;\n      }\n\n      newBaseUnit.dimensions[BASE_DIMENSIONS.length - 1] = 1;\n      newBaseUnit.key = baseName;\n      BASE_UNITS[baseName] = newBaseUnit;\n      newUnit = {\n        name: name,\n        value: 1,\n        dimensions: BASE_UNITS[baseName].dimensions.slice(0),\n        prefixes: prefixes,\n        offset: offset,\n        base: BASE_UNITS[baseName]\n      };\n      currentUnitSystem[baseName] = {\n        unit: newUnit,\n        prefix: PREFIXES.NONE['']\n      };\n    } else {\n      newUnit = {\n        name: name,\n        value: defUnit.value,\n        dimensions: defUnit.dimensions.slice(0),\n        prefixes: prefixes,\n        offset: offset // Create a new base if no matching base exists\n\n      };\n      var anyMatch = false;\n\n      for (var _i7 in BASE_UNITS) {\n        if (BASE_UNITS.hasOwnProperty(_i7)) {\n          var match = true;\n\n          for (var j = 0; j < BASE_DIMENSIONS.length; j++) {\n            if (Math.abs((newUnit.dimensions[j] || 0) - (BASE_UNITS[_i7].dimensions[j] || 0)) > 1e-12) {\n              match = false;\n              break;\n            }\n          }\n\n          if (match) {\n            anyMatch = true;\n            newUnit.base = BASE_UNITS[_i7];\n            break;\n          }\n        }\n      }\n\n      if (!anyMatch) {\n        var _baseName = name + '_STUFF'; // foo --> foo_STUFF, or the essence of foo\n        // Add the new base unit\n\n\n        var _newBaseUnit = {\n          dimensions: defUnit.dimensions.slice(0)\n        };\n        _newBaseUnit.key = _baseName;\n        BASE_UNITS[_baseName] = _newBaseUnit;\n        currentUnitSystem[_baseName] = {\n          unit: newUnit,\n          prefix: PREFIXES.NONE['']\n        };\n        newUnit.base = BASE_UNITS[_baseName];\n      }\n    }\n\n    Unit.UNITS[name] = newUnit;\n\n    for (var _i8 = 0; _i8 < aliases.length; _i8++) {\n      var aliasName = aliases[_i8];\n      var _alias = {};\n\n      for (var _key8 in newUnit) {\n        if (newUnit.hasOwnProperty(_key8)) {\n          _alias[_key8] = newUnit[_key8];\n        }\n      }\n\n      _alias.name = aliasName;\n      Unit.UNITS[aliasName] = _alias;\n    }\n\n    return new Unit(null, name);\n  };\n\n  Unit.deleteUnit = function (name) {\n    delete Unit.UNITS[name];\n  }; // expose arrays with prefixes, dimensions, units, systems\n\n\n  Unit.PREFIXES = PREFIXES;\n  Unit.BASE_DIMENSIONS = BASE_DIMENSIONS;\n  Unit.BASE_UNITS = BASE_UNITS;\n  Unit.UNIT_SYSTEMS = UNIT_SYSTEMS;\n  Unit.UNITS = UNITS;\n  return Unit;\n}\n\nexports.name = 'Unit';\nexports.path = 'type';\nexports.factory = factory;\nexports.math = true; // request access to the math namespace","'use strict';\n\nvar deepMap = require('../../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create a unit. Depending on the passed arguments, the function\n   * will create and return a new math.type.Unit object.\n   * When a matrix is provided, all elements will be converted to units.\n   *\n   * Syntax:\n   *\n   *     math.unit(unit : string)\n   *     math.unit(value : number, unit : string)\n   *\n   * Examples:\n   *\n   *    const a = math.unit(5, 'cm')    // returns Unit 50 mm\n   *    const b = math.unit('23 kg')    // returns Unit 23 kg\n   *    a.to('m')                       // returns Unit 0.05 m\n   *\n   * See also:\n   *\n   *    bignumber, boolean, complex, index, matrix, number, string, createUnit\n   *\n   * @param {* | Array | Matrix} args   A number and unit.\n   * @return {Unit | Array | Matrix}    The created unit\n   */\n  var unit = typed('unit', {\n    'Unit': function Unit(x) {\n      return x.clone();\n    },\n    'string': function string(x) {\n      if (type.Unit.isValuelessUnit(x)) {\n        return new type.Unit(null, x); // a pure unit\n      }\n\n      return type.Unit.parse(x, {\n        allowNoUnits: true\n      }); // a unit with value, like '5cm'\n    },\n    'number | BigNumber | Fraction | Complex, string': function numberBigNumberFractionComplexString(value, unit) {\n      return new type.Unit(value, unit);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, unit);\n    }\n  });\n  unit.toTex = {\n    1: \"\\\\left(${args[0]}\\\\right)\",\n    2: \"\\\\left(\\\\left(${args[0]}\\\\right)${args[1]}\\\\right)\"\n  };\n  return unit;\n}\n\nexports.name = 'unit';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Create a user-defined unit and register it with the Unit type.\n   *\n   * Syntax:\n   *\n   *     math.createUnit({\n   *       baseUnit1: {\n   *         aliases: [string, ...]\n   *         prefixes: object\n   *       },\n   *       unit2: {\n   *         definition: string,\n   *         aliases: [string, ...]\n   *         prefixes: object,\n   *         offset: number\n   *       },\n   *       unit3: string    // Shortcut\n   *     })\n   *\n   *     // Another shortcut:\n   *     math.createUnit(string, unit : string, [object])\n   *\n   * Examples:\n   *\n   *     math.createUnit('foo')\n   *     math.createUnit('knot', {definition: '0.514444444 m/s', aliases: ['knots', 'kt', 'kts']})\n   *     math.createUnit('mph', '1 mile/hour')\n   *\n   * @param {string} name      The name of the new unit. Must be unique. Example: 'knot'\n   * @param {string, Unit} definition      Definition of the unit in terms of existing units. For example, '0.514444444 m / s'.\n   * @param {Object} options   (optional) An object containing any of the following properties:\n   *     - `prefixes {string}` \"none\", \"short\", \"long\", \"binary_short\", or \"binary_long\". The default is \"none\".\n   *     - `aliases {Array}` Array of strings. Example: ['knots', 'kt', 'kts']\n   *     - `offset {Numeric}` An offset to apply when converting from the unit. For example, the offset for celsius is 273.15. Default is 0.\n   *\n   * See also:\n   *\n   *     unit\n   *\n   * @return {Unit} The new unit\n   */\n  var createUnit = typed('createUnit', {\n    // General function signature. First parameter is an object where each property is the definition of a new unit. The object keys are the unit names and the values are the definitions. The values can be objects, strings, or Units. If a property is an empty object or an empty string, a new base unit is created. The second parameter is the options.\n    'Object, Object': function ObjectObject(obj, options) {\n      return type.Unit.createUnit(obj, options);\n    },\n    // Same as above but without the options.\n    'Object': function Object(obj) {\n      return type.Unit.createUnit(obj, {});\n    },\n    // Shortcut method for creating one unit.\n    'string, Unit | string | Object, Object': function stringUnitStringObjectObject(name, def, options) {\n      var obj = {};\n      obj[name] = def;\n      return type.Unit.createUnit(obj, options);\n    },\n    // Same as above but without the options.\n    'string, Unit | string | Object': function stringUnitStringObject(name, def) {\n      var obj = {};\n      obj[name] = def;\n      return type.Unit.createUnit(obj, {});\n    },\n    // Without a definition, creates a base unit.\n    'string': function string(name) {\n      var obj = {};\n      obj[name] = {};\n      return type.Unit.createUnit(obj, {});\n    }\n  });\n  return createUnit;\n}\n\nexports.name = 'createUnit';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Split a unit in an array of units whose sum is equal to the original unit.\n   *\n   * Syntax:\n   *\n   *     splitUnit(unit: Unit, parts: Array.<Unit>)\n   *\n   * Example:\n   *\n   *     math.splitUnit(new Unit(1, 'm'), ['feet', 'inch'])\n   *     // [ 3 feet, 3.3700787401575 inch ]\n   *\n   * See also:\n   *\n   *     unit\n   *\n   * @param {Array} [parts] An array of strings or valueless units.\n   * @return {Array} An array of units.\n   */\n  var splitUnit = typed('splitUnit', {\n    'Unit, Array': function UnitArray(unit, parts) {\n      return unit.splitUnit(parts);\n    }\n  });\n  return splitUnit;\n}\n\nexports.name = 'splitUnit';\nexports.factory = factory;","'use strict';\n\nvar lazy = require('../../utils/object').lazy;\n\nfunction factory(type, config, load, typed, math) {\n  // helper function to create a unit with a fixed prefix\n  function fixedUnit(str) {\n    var unit = type.Unit.parse(str);\n    unit.fixPrefix = true;\n    return unit;\n  } // Source: http://www.wikiwand.com/en/Physical_constant\n  // Universal constants\n\n\n  setLazyConstant(math, 'speedOfLight', function () {\n    return fixedUnit('299792458 m s^-1');\n  });\n  setLazyConstant(math, 'gravitationConstant', function () {\n    return fixedUnit('6.6738480e-11 m^3 kg^-1 s^-2');\n  });\n  setLazyConstant(math, 'planckConstant', function () {\n    return fixedUnit('6.626069311e-34 J s');\n  });\n  setLazyConstant(math, 'reducedPlanckConstant', function () {\n    return fixedUnit('1.05457172647e-34 J s');\n  }); // Electromagnetic constants\n\n  setLazyConstant(math, 'magneticConstant', function () {\n    return fixedUnit('1.2566370614e-6 N A^-2');\n  });\n  setLazyConstant(math, 'electricConstant', function () {\n    return fixedUnit('8.854187817e-12 F m^-1');\n  });\n  setLazyConstant(math, 'vacuumImpedance', function () {\n    return fixedUnit('376.730313461 ohm');\n  });\n  setLazyConstant(math, 'coulomb', function () {\n    return fixedUnit('8.9875517873681764e9 N m^2 C^-2');\n  });\n  setLazyConstant(math, 'elementaryCharge', function () {\n    return fixedUnit('1.60217656535e-19 C');\n  });\n  setLazyConstant(math, 'bohrMagneton', function () {\n    return fixedUnit('9.2740096820e-24 J T^-1');\n  });\n  setLazyConstant(math, 'conductanceQuantum', function () {\n    return fixedUnit('7.748091734625e-5 S');\n  });\n  setLazyConstant(math, 'inverseConductanceQuantum', function () {\n    return fixedUnit('12906.403721742 ohm');\n  });\n  setLazyConstant(math, 'magneticFluxQuantum', function () {\n    return fixedUnit('2.06783375846e-15 Wb');\n  });\n  setLazyConstant(math, 'nuclearMagneton', function () {\n    return fixedUnit('5.0507835311e-27 J T^-1');\n  });\n  setLazyConstant(math, 'klitzing', function () {\n    return fixedUnit('25812.807443484 ohm');\n  }); // setLazyConstant(math, 'josephson',                 function () {return fixedUnit('4.8359787011e-14 Hz V^-1')})  // TODO: support for Hz needed\n  // Atomic and nuclear constants\n\n  setLazyConstant(math, 'bohrRadius', function () {\n    return fixedUnit('5.291772109217e-11 m');\n  });\n  setLazyConstant(math, 'classicalElectronRadius', function () {\n    return fixedUnit('2.817940326727e-15 m');\n  });\n  setLazyConstant(math, 'electronMass', function () {\n    return fixedUnit('9.1093829140e-31 kg');\n  });\n  setLazyConstant(math, 'fermiCoupling', function () {\n    return fixedUnit('1.1663645e-5 GeV^-2');\n  });\n  setLazyConstant(math, 'fineStructure', function () {\n    return 7.297352569824e-3;\n  });\n  setLazyConstant(math, 'hartreeEnergy', function () {\n    return fixedUnit('4.3597443419e-18 J');\n  });\n  setLazyConstant(math, 'protonMass', function () {\n    return fixedUnit('1.67262177774e-27 kg');\n  });\n  setLazyConstant(math, 'deuteronMass', function () {\n    return fixedUnit('3.3435830926e-27 kg');\n  });\n  setLazyConstant(math, 'neutronMass', function () {\n    return fixedUnit('1.6749271613e-27 kg');\n  });\n  setLazyConstant(math, 'quantumOfCirculation', function () {\n    return fixedUnit('3.636947552024e-4 m^2 s^-1');\n  });\n  setLazyConstant(math, 'rydberg', function () {\n    return fixedUnit('10973731.56853955 m^-1');\n  });\n  setLazyConstant(math, 'thomsonCrossSection', function () {\n    return fixedUnit('6.65245873413e-29 m^2');\n  });\n  setLazyConstant(math, 'weakMixingAngle', function () {\n    return 0.222321;\n  });\n  setLazyConstant(math, 'efimovFactor', function () {\n    return 22.7;\n  }); // Physico-chemical constants\n\n  setLazyConstant(math, 'atomicMass', function () {\n    return fixedUnit('1.66053892173e-27 kg');\n  });\n  setLazyConstant(math, 'avogadro', function () {\n    return fixedUnit('6.0221412927e23 mol^-1');\n  });\n  setLazyConstant(math, 'boltzmann', function () {\n    return fixedUnit('1.380648813e-23 J K^-1');\n  });\n  setLazyConstant(math, 'faraday', function () {\n    return fixedUnit('96485.336521 C mol^-1');\n  });\n  setLazyConstant(math, 'firstRadiation', function () {\n    return fixedUnit('3.7417715317e-16 W m^2');\n  }); // setLazyConstant(math, 'spectralRadiance',   function () {return fixedUnit('1.19104286953e-16 W m^2 sr^-1')}) // TODO spectralRadiance\n\n  setLazyConstant(math, 'loschmidt', function () {\n    return fixedUnit('2.686780524e25 m^-3');\n  });\n  setLazyConstant(math, 'gasConstant', function () {\n    return fixedUnit('8.314462175 J K^-1 mol^-1');\n  });\n  setLazyConstant(math, 'molarPlanckConstant', function () {\n    return fixedUnit('3.990312717628e-10 J s mol^-1');\n  });\n  setLazyConstant(math, 'molarVolume', function () {\n    return fixedUnit('2.241396820e-10 m^3 mol^-1');\n  });\n  setLazyConstant(math, 'sackurTetrode', function () {\n    return -1.164870823;\n  });\n  setLazyConstant(math, 'secondRadiation', function () {\n    return fixedUnit('1.438777013e-2 m K');\n  });\n  setLazyConstant(math, 'stefanBoltzmann', function () {\n    return fixedUnit('5.67037321e-8 W m^-2 K^-4');\n  });\n  setLazyConstant(math, 'wienDisplacement', function () {\n    return fixedUnit('2.897772126e-3 m K');\n  }); // Adopted values\n\n  setLazyConstant(math, 'molarMass', function () {\n    return fixedUnit('1e-3 kg mol^-1');\n  });\n  setLazyConstant(math, 'molarMassC12', function () {\n    return fixedUnit('1.2e-2 kg mol^-1');\n  });\n  setLazyConstant(math, 'gravity', function () {\n    return fixedUnit('9.80665 m s^-2');\n  }); // atm is defined in Unit.js\n  // Natural units\n\n  setLazyConstant(math, 'planckLength', function () {\n    return fixedUnit('1.61619997e-35 m');\n  });\n  setLazyConstant(math, 'planckMass', function () {\n    return fixedUnit('2.1765113e-8 kg');\n  });\n  setLazyConstant(math, 'planckTime', function () {\n    return fixedUnit('5.3910632e-44 s');\n  });\n  setLazyConstant(math, 'planckCharge', function () {\n    return fixedUnit('1.87554595641e-18 C');\n  });\n  setLazyConstant(math, 'planckTemperature', function () {\n    return fixedUnit('1.41683385e+32 K');\n  });\n} // create a lazy constant in both math and mathWithTransform\n\n\nfunction setLazyConstant(math, name, resolver) {\n  lazy(math, name, resolver);\n  lazy(math.expression.mathWithTransform, name, resolver);\n}\n\nexports.factory = factory;\nexports.lazy = false; // no lazy loading of constants, the constants themselves are lazy when needed\n\nexports.math = true; // request access to the math namespace","'use strict';\n\nvar object = require('./utils/object');\n\nvar bigConstants = require('./utils/bignumber/constants');\n\nfunction factory(type, config, load, typed, math) {\n  // listen for changed in the configuration, automatically reload\n  // constants when needed\n  math.on('config', function (curr, prev) {\n    if (curr.number !== prev.number) {\n      factory(type, config, load, typed, math);\n    }\n  });\n  setConstant(math, 'true', true);\n  setConstant(math, 'false', false);\n  setConstant(math, 'null', null);\n  setConstant(math, 'uninitialized', 'Error: Constant uninitialized is removed since v4.0.0. Use null instead');\n\n  if (config.number === 'BigNumber') {\n    setConstant(math, 'Infinity', new type.BigNumber(Infinity));\n    setConstant(math, 'NaN', new type.BigNumber(NaN));\n    setLazyConstant(math, 'pi', function () {\n      return bigConstants.pi(type.BigNumber);\n    });\n    setLazyConstant(math, 'tau', function () {\n      return bigConstants.tau(type.BigNumber);\n    });\n    setLazyConstant(math, 'e', function () {\n      return bigConstants.e(type.BigNumber);\n    });\n    setLazyConstant(math, 'phi', function () {\n      return bigConstants.phi(type.BigNumber);\n    }); // golden ratio, (1+sqrt(5))/2\n    // uppercase constants (for compatibility with built-in Math)\n\n    setLazyConstant(math, 'E', function () {\n      return math.e;\n    });\n    setLazyConstant(math, 'LN2', function () {\n      return new type.BigNumber(2).ln();\n    });\n    setLazyConstant(math, 'LN10', function () {\n      return new type.BigNumber(10).ln();\n    });\n    setLazyConstant(math, 'LOG2E', function () {\n      return new type.BigNumber(1).div(new type.BigNumber(2).ln());\n    });\n    setLazyConstant(math, 'LOG10E', function () {\n      return new type.BigNumber(1).div(new type.BigNumber(10).ln());\n    });\n    setLazyConstant(math, 'PI', function () {\n      return math.pi;\n    });\n    setLazyConstant(math, 'SQRT1_2', function () {\n      return new type.BigNumber('0.5').sqrt();\n    });\n    setLazyConstant(math, 'SQRT2', function () {\n      return new type.BigNumber(2).sqrt();\n    });\n  } else {\n    setConstant(math, 'Infinity', Infinity);\n    setConstant(math, 'NaN', NaN);\n    setConstant(math, 'pi', Math.PI);\n    setConstant(math, 'tau', Math.PI * 2);\n    setConstant(math, 'e', Math.E);\n    setConstant(math, 'phi', 1.61803398874989484820458683436563811772030917980576286213545); // golden ratio, (1+sqrt(5))/2\n    // uppercase constants (for compatibility with built-in Math)\n\n    setConstant(math, 'E', math.e);\n    setConstant(math, 'LN2', Math.LN2);\n    setConstant(math, 'LN10', Math.LN10);\n    setConstant(math, 'LOG2E', Math.LOG2E);\n    setConstant(math, 'LOG10E', Math.LOG10E);\n    setConstant(math, 'PI', math.pi);\n    setConstant(math, 'SQRT1_2', Math.SQRT1_2);\n    setConstant(math, 'SQRT2', Math.SQRT2);\n  } // complex i\n\n\n  if (type.Complex) {\n    setConstant(math, 'i', type.Complex.I);\n  } // meta information\n\n\n  setConstant(math, 'version', require('./version'));\n} // create a constant in both math and mathWithTransform\n\n\nfunction setConstant(math, name, value) {\n  math[name] = value;\n  math.expression.mathWithTransform[name] = value;\n} // create a lazy constant in both math and mathWithTransform\n\n\nfunction setLazyConstant(math, name, resolver) {\n  object.lazy(math, name, resolver);\n  object.lazy(math.expression.mathWithTransform, name, resolver);\n}\n\nexports.factory = factory;\nexports.lazy = false; // no lazy loading of constants, the constants themselves are lazy when needed\n\nexports.math = true; // request access to the math namespace","\"use strict\";\n\nmodule.exports = '5.4.0'; // Note: This file is automatically generated when building math.js.\n// Changes made in this file will be overwritten.","'use strict';\n\nmodule.exports = [require('./algebra'), require('./arithmetic'), require('./bitwise'), require('./combinatorics'), require('./complex'), require('./geometry'), require('./logical'), require('./matrix'), require('./probability'), require('./relational'), require('./set'), require('./special'), require('./statistics'), require('./string'), require('./trigonometry'), require('./unit'), require('./utils')];","'use strict';\n\nmodule.exports = [require('./derivative'), // simplify\nrequire('./simplify'), // polynomial\nrequire('./rationalize'), // decomposition\nrequire('./decomposition/qr'), require('./decomposition/lup'), require('./decomposition/slu'), // solver\nrequire('./solver/lsolve'), require('./solver/lusolve'), require('./solver/usolve')];","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var parse = load(require('../../expression/parse'));\n  var simplify = load(require('./simplify'));\n  var equal = load(require('../relational/equal'));\n  var isZero = load(require('../utils/isZero'));\n  var getType = load(require('../utils/typeof'));\n  var numeric = load(require('../../type/numeric'));\n  var ConstantNode = load(require('../../expression/node/ConstantNode'));\n  var FunctionNode = load(require('../../expression/node/FunctionNode'));\n  var OperatorNode = load(require('../../expression/node/OperatorNode'));\n  var ParenthesisNode = load(require('../../expression/node/ParenthesisNode'));\n  var SymbolNode = load(require('../../expression/node/SymbolNode'));\n  /**\n   * Takes the derivative of an expression expressed in parser Nodes.\n   * The derivative will be taken over the supplied variable in the\n   * second parameter. If there are multiple variables in the expression,\n   * it will return a partial derivative.\n   *\n   * This uses rules of differentiation which can be found here:\n   *\n   * - [Differentiation rules (Wikipedia)](http://en.wikipedia.org/wiki/Differentiation_rules)\n   *\n   * Syntax:\n   *\n   *     derivative(expr, variable)\n   *     derivative(expr, variable, options)\n   *\n   * Examples:\n   *\n   *     math.derivative('x^2', 'x')                     // Node {2 * x}\n   *     math.derivative('x^2', 'x', {simplify: false})  // Node {2 * 1 * x ^ (2 - 1)\n   *     math.derivative('sin(2x)', 'x'))                // Node {2 * cos(2 * x)}\n   *     math.derivative('2*x', 'x').eval()              // number 2\n   *     math.derivative('x^2', 'x').eval({x: 4})        // number 8\n   *     const f = math.parse('x^2')\n   *     const x = math.parse('x')\n   *     math.derivative(f, x)                           // Node {2 * x}\n   *\n   * See also:\n   *\n   *     simplify, parse, eval\n   *\n   * @param  {Node | string} expr           The expression to differentiate\n   * @param  {SymbolNode | string} variable The variable over which to differentiate\n   * @param  {{simplify: boolean}} [options]\n   *                         There is one option available, `simplify`, which\n   *                         is true by default. When false, output will not\n   *                         be simplified.\n   * @return {ConstantNode | SymbolNode | ParenthesisNode | FunctionNode | OperatorNode}    The derivative of `expr`\n   */\n\n  var derivative = typed('derivative', {\n    'Node, SymbolNode, Object': function NodeSymbolNodeObject(expr, variable, options) {\n      var constNodes = {};\n      constTag(constNodes, expr, variable.name);\n\n      var res = _derivative(expr, constNodes);\n\n      return options.simplify ? simplify(res) : res;\n    },\n    'Node, SymbolNode': function NodeSymbolNode(expr, variable) {\n      return derivative(expr, variable, {\n        simplify: true\n      });\n    },\n    'string, SymbolNode': function stringSymbolNode(expr, variable) {\n      return derivative(parse(expr), variable);\n    },\n    'string, SymbolNode, Object': function stringSymbolNodeObject(expr, variable, options) {\n      return derivative(parse(expr), variable, options);\n    },\n    'string, string': function stringString(expr, variable) {\n      return derivative(parse(expr), parse(variable));\n    },\n    'string, string, Object': function stringStringObject(expr, variable, options) {\n      return derivative(parse(expr), parse(variable), options);\n    },\n    'Node, string': function NodeString(expr, variable) {\n      return derivative(expr, parse(variable));\n    },\n    'Node, string, Object': function NodeStringObject(expr, variable, options) {\n      return derivative(expr, parse(variable), options);\n    } // TODO: replace the 8 signatures above with 4 as soon as typed-function supports optional arguments\n\n    /* TODO: implement and test syntax with order of derivatives -> implement as an option {order: number}\n    'Node, SymbolNode, ConstantNode': function (expr, variable, {order}) {\n      let res = expr\n      for (let i = 0; i < order; i++) {\n        let constNodes = {}\n        constTag(constNodes, expr, variable.name)\n        res = _derivative(res, constNodes)\n      }\n      return res\n    }\n    */\n\n  });\n  derivative._simplify = true;\n\n  derivative.toTex = function (deriv) {\n    return _derivTex.apply(null, deriv.args);\n  }; // NOTE: the optional \"order\" parameter here is currently unused\n\n\n  var _derivTex = typed('_derivTex', {\n    'Node, SymbolNode': function NodeSymbolNode(expr, x) {\n      if (type.isConstantNode(expr) && getType(expr.value) === 'string') {\n        return _derivTex(parse(expr.value).toString(), x.toString(), 1);\n      } else {\n        return _derivTex(expr.toString(), x.toString(), 1);\n      }\n    },\n    'Node, ConstantNode': function NodeConstantNode(expr, x) {\n      if (getType(x.value) === 'string') {\n        return _derivTex(expr, parse(x.value));\n      } else {\n        throw new Error(\"The second parameter to 'derivative' is a non-string constant\");\n      }\n    },\n    'Node, SymbolNode, ConstantNode': function NodeSymbolNodeConstantNode(expr, x, order) {\n      return _derivTex(expr.toString(), x.name, order.value);\n    },\n    'string, string, number': function stringStringNumber(expr, x, order) {\n      var d;\n\n      if (order === 1) {\n        d = '{d\\\\over d' + x + '}';\n      } else {\n        d = '{d^{' + order + '}\\\\over d' + x + '^{' + order + '}}';\n      }\n\n      return d + \"\\\\left[\".concat(expr, \"\\\\right]\");\n    }\n  });\n  /**\n   * Does a depth-first search on the expression tree to identify what Nodes\n   * are constants (e.g. 2 + 2), and stores the ones that are constants in\n   * constNodes. Classification is done as follows:\n   *\n   *   1. ConstantNodes are constants.\n   *   2. If there exists a SymbolNode, of which we are differentiating over,\n   *      in the subtree it is not constant.\n   *\n   * @param  {Object} constNodes  Holds the nodes that are constant\n   * @param  {ConstantNode | SymbolNode | ParenthesisNode | FunctionNode | OperatorNode} node\n   * @param  {string} varName     Variable that we are differentiating\n   * @return {boolean}  if node is constant\n   */\n  // TODO: can we rewrite constTag into a pure function?\n\n\n  var constTag = typed('constTag', {\n    'Object, ConstantNode, string': function ObjectConstantNodeString(constNodes, node) {\n      constNodes[node] = true;\n      return true;\n    },\n    'Object, SymbolNode, string': function ObjectSymbolNodeString(constNodes, node, varName) {\n      // Treat other variables like constants. For reasoning, see:\n      //   https://en.wikipedia.org/wiki/Partial_derivative\n      if (node.name !== varName) {\n        constNodes[node] = true;\n        return true;\n      }\n\n      return false;\n    },\n    'Object, ParenthesisNode, string': function ObjectParenthesisNodeString(constNodes, node, varName) {\n      return constTag(constNodes, node.content, varName);\n    },\n    'Object, FunctionAssignmentNode, string': function ObjectFunctionAssignmentNodeString(constNodes, node, varName) {\n      if (node.params.indexOf(varName) === -1) {\n        constNodes[node] = true;\n        return true;\n      }\n\n      return constTag(constNodes, node.expr, varName);\n    },\n    'Object, FunctionNode | OperatorNode, string': function ObjectFunctionNodeOperatorNodeString(constNodes, node, varName) {\n      if (node.args.length > 0) {\n        var isConst = constTag(constNodes, node.args[0], varName);\n\n        for (var i = 1; i < node.args.length; ++i) {\n          isConst = constTag(constNodes, node.args[i], varName) && isConst;\n        }\n\n        if (isConst) {\n          constNodes[node] = true;\n          return true;\n        }\n      }\n\n      return false;\n    }\n  });\n  /**\n   * Applies differentiation rules.\n   *\n   * @param  {ConstantNode | SymbolNode | ParenthesisNode | FunctionNode | OperatorNode} node\n   * @param  {Object} constNodes  Holds the nodes that are constant\n   * @return {ConstantNode | SymbolNode | ParenthesisNode | FunctionNode | OperatorNode}    The derivative of `expr`\n   */\n\n  var _derivative = typed('_derivative', {\n    'ConstantNode, Object': function ConstantNodeObject(node) {\n      return createConstantNode(0);\n    },\n    'SymbolNode, Object': function SymbolNodeObject(node, constNodes) {\n      if (constNodes[node] !== undefined) {\n        return createConstantNode(0);\n      }\n\n      return createConstantNode(1);\n    },\n    'ParenthesisNode, Object': function ParenthesisNodeObject(node, constNodes) {\n      return new ParenthesisNode(_derivative(node.content, constNodes));\n    },\n    'FunctionAssignmentNode, Object': function FunctionAssignmentNodeObject(node, constNodes) {\n      if (constNodes[node] !== undefined) {\n        return createConstantNode(0);\n      }\n\n      return _derivative(node.expr, constNodes);\n    },\n    'FunctionNode, Object': function FunctionNodeObject(node, constNodes) {\n      if (node.args.length !== 1) {\n        funcArgsCheck(node);\n      }\n\n      if (constNodes[node] !== undefined) {\n        return createConstantNode(0);\n      }\n\n      var arg0 = node.args[0];\n      var arg1;\n      var div = false; // is output a fraction?\n\n      var negative = false; // is output negative?\n\n      var funcDerivative;\n\n      switch (node.name) {\n        case 'cbrt':\n          // d/dx(cbrt(x)) = 1 / (3x^(2/3))\n          div = true;\n          funcDerivative = new OperatorNode('*', 'multiply', [createConstantNode(3), new OperatorNode('^', 'pow', [arg0, new OperatorNode('/', 'divide', [createConstantNode(2), createConstantNode(3)])])]);\n          break;\n\n        case 'sqrt':\n        case 'nthRoot':\n          // d/dx(sqrt(x)) = 1 / (2*sqrt(x))\n          if (node.args.length === 1) {\n            div = true;\n            funcDerivative = new OperatorNode('*', 'multiply', [createConstantNode(2), new FunctionNode('sqrt', [arg0])]);\n          } else if (node.args.length === 2) {\n            // Rearrange from nthRoot(x, a) -> x^(1/a)\n            arg1 = new OperatorNode('/', 'divide', [createConstantNode(1), node.args[1]]); // Is a variable?\n\n            constNodes[arg1] = constNodes[node.args[1]];\n            return _derivative(new OperatorNode('^', 'pow', [arg0, arg1]), constNodes);\n          }\n\n          break;\n\n        case 'log10':\n          arg1 = createConstantNode(10);\n\n        /* fall through! */\n\n        case 'log':\n          if (!arg1 && node.args.length === 1) {\n            // d/dx(log(x)) = 1 / x\n            funcDerivative = arg0.clone();\n            div = true;\n          } else if (node.args.length === 1 && arg1 || node.args.length === 2 && constNodes[node.args[1]] !== undefined) {\n            // d/dx(log(x, c)) = 1 / (x*ln(c))\n            funcDerivative = new OperatorNode('*', 'multiply', [arg0.clone(), new FunctionNode('log', [arg1 || node.args[1]])]);\n            div = true;\n          } else if (node.args.length === 2) {\n            // d/dx(log(f(x), g(x))) = d/dx(log(f(x)) / log(g(x)))\n            return _derivative(new OperatorNode('/', 'divide', [new FunctionNode('log', [arg0]), new FunctionNode('log', [node.args[1]])]), constNodes);\n          }\n\n          break;\n\n        case 'exp':\n          // d/dx(e^x) = e^x\n          funcDerivative = new FunctionNode('exp', [arg0.clone()]);\n          break;\n\n        case 'sin':\n          // d/dx(sin(x)) = cos(x)\n          funcDerivative = new FunctionNode('cos', [arg0.clone()]);\n          break;\n\n        case 'cos':\n          // d/dx(cos(x)) = -sin(x)\n          funcDerivative = new OperatorNode('-', 'unaryMinus', [new FunctionNode('sin', [arg0.clone()])]);\n          break;\n\n        case 'tan':\n          // d/dx(tan(x)) = sec(x)^2\n          funcDerivative = new OperatorNode('^', 'pow', [new FunctionNode('sec', [arg0.clone()]), createConstantNode(2)]);\n          break;\n\n        case 'sec':\n          // d/dx(sec(x)) = sec(x)tan(x)\n          funcDerivative = new OperatorNode('*', 'multiply', [node, new FunctionNode('tan', [arg0.clone()])]);\n          break;\n\n        case 'csc':\n          // d/dx(csc(x)) = -csc(x)cot(x)\n          negative = true;\n          funcDerivative = new OperatorNode('*', 'multiply', [node, new FunctionNode('cot', [arg0.clone()])]);\n          break;\n\n        case 'cot':\n          // d/dx(cot(x)) = -csc(x)^2\n          negative = true;\n          funcDerivative = new OperatorNode('^', 'pow', [new FunctionNode('csc', [arg0.clone()]), createConstantNode(2)]);\n          break;\n\n        case 'asin':\n          // d/dx(asin(x)) = 1 / sqrt(1 - x^2)\n          div = true;\n          funcDerivative = new FunctionNode('sqrt', [new OperatorNode('-', 'subtract', [createConstantNode(1), new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)])])]);\n          break;\n\n        case 'acos':\n          // d/dx(acos(x)) = -1 / sqrt(1 - x^2)\n          div = true;\n          negative = true;\n          funcDerivative = new FunctionNode('sqrt', [new OperatorNode('-', 'subtract', [createConstantNode(1), new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)])])]);\n          break;\n\n        case 'atan':\n          // d/dx(atan(x)) = 1 / (x^2 + 1)\n          div = true;\n          funcDerivative = new OperatorNode('+', 'add', [new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)]), createConstantNode(1)]);\n          break;\n\n        case 'asec':\n          // d/dx(asec(x)) = 1 / (|x|*sqrt(x^2 - 1))\n          div = true;\n          funcDerivative = new OperatorNode('*', 'multiply', [new FunctionNode('abs', [arg0.clone()]), new FunctionNode('sqrt', [new OperatorNode('-', 'subtract', [new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)]), createConstantNode(1)])])]);\n          break;\n\n        case 'acsc':\n          // d/dx(acsc(x)) = -1 / (|x|*sqrt(x^2 - 1))\n          div = true;\n          negative = true;\n          funcDerivative = new OperatorNode('*', 'multiply', [new FunctionNode('abs', [arg0.clone()]), new FunctionNode('sqrt', [new OperatorNode('-', 'subtract', [new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)]), createConstantNode(1)])])]);\n          break;\n\n        case 'acot':\n          // d/dx(acot(x)) = -1 / (x^2 + 1)\n          div = true;\n          negative = true;\n          funcDerivative = new OperatorNode('+', 'add', [new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)]), createConstantNode(1)]);\n          break;\n\n        case 'sinh':\n          // d/dx(sinh(x)) = cosh(x)\n          funcDerivative = new FunctionNode('cosh', [arg0.clone()]);\n          break;\n\n        case 'cosh':\n          // d/dx(cosh(x)) = sinh(x)\n          funcDerivative = new FunctionNode('sinh', [arg0.clone()]);\n          break;\n\n        case 'tanh':\n          // d/dx(tanh(x)) = sech(x)^2\n          funcDerivative = new OperatorNode('^', 'pow', [new FunctionNode('sech', [arg0.clone()]), createConstantNode(2)]);\n          break;\n\n        case 'sech':\n          // d/dx(sech(x)) = -sech(x)tanh(x)\n          negative = true;\n          funcDerivative = new OperatorNode('*', 'multiply', [node, new FunctionNode('tanh', [arg0.clone()])]);\n          break;\n\n        case 'csch':\n          // d/dx(csch(x)) = -csch(x)coth(x)\n          negative = true;\n          funcDerivative = new OperatorNode('*', 'multiply', [node, new FunctionNode('coth', [arg0.clone()])]);\n          break;\n\n        case 'coth':\n          // d/dx(coth(x)) = -csch(x)^2\n          negative = true;\n          funcDerivative = new OperatorNode('^', 'pow', [new FunctionNode('csch', [arg0.clone()]), createConstantNode(2)]);\n          break;\n\n        case 'asinh':\n          // d/dx(asinh(x)) = 1 / sqrt(x^2 + 1)\n          div = true;\n          funcDerivative = new FunctionNode('sqrt', [new OperatorNode('+', 'add', [new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)]), createConstantNode(1)])]);\n          break;\n\n        case 'acosh':\n          // d/dx(acosh(x)) = 1 / sqrt(x^2 - 1); XXX potentially only for x >= 1 (the real spectrum)\n          div = true;\n          funcDerivative = new FunctionNode('sqrt', [new OperatorNode('-', 'subtract', [new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)]), createConstantNode(1)])]);\n          break;\n\n        case 'atanh':\n          // d/dx(atanh(x)) = 1 / (1 - x^2)\n          div = true;\n          funcDerivative = new OperatorNode('-', 'subtract', [createConstantNode(1), new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)])]);\n          break;\n\n        case 'asech':\n          // d/dx(asech(x)) = -1 / (x*sqrt(1 - x^2))\n          div = true;\n          negative = true;\n          funcDerivative = new OperatorNode('*', 'multiply', [arg0.clone(), new FunctionNode('sqrt', [new OperatorNode('-', 'subtract', [createConstantNode(1), new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)])])])]);\n          break;\n\n        case 'acsch':\n          // d/dx(acsch(x)) = -1 / (|x|*sqrt(x^2 + 1))\n          div = true;\n          negative = true;\n          funcDerivative = new OperatorNode('*', 'multiply', [new FunctionNode('abs', [arg0.clone()]), new FunctionNode('sqrt', [new OperatorNode('+', 'add', [new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)]), createConstantNode(1)])])]);\n          break;\n\n        case 'acoth':\n          // d/dx(acoth(x)) = -1 / (1 - x^2)\n          div = true;\n          negative = true;\n          funcDerivative = new OperatorNode('-', 'subtract', [createConstantNode(1), new OperatorNode('^', 'pow', [arg0.clone(), createConstantNode(2)])]);\n          break;\n\n        case 'abs':\n          // d/dx(abs(x)) = abs(x)/x\n          funcDerivative = new OperatorNode('/', 'divide', [new FunctionNode(new SymbolNode('abs'), [arg0.clone()]), arg0.clone()]);\n          break;\n\n        case 'gamma': // Needs digamma function, d/dx(gamma(x)) = gamma(x)digamma(x)\n\n        default:\n          throw new Error('Function \"' + node.name + '\" is not supported by derivative, or a wrong number of arguments is passed');\n      }\n\n      var op, func;\n\n      if (div) {\n        op = '/';\n        func = 'divide';\n      } else {\n        op = '*';\n        func = 'multiply';\n      }\n      /* Apply chain rule to all functions:\n         F(x)  = f(g(x))\n         F'(x) = g'(x)*f'(g(x)) */\n\n\n      var chainDerivative = _derivative(arg0, constNodes);\n\n      if (negative) {\n        chainDerivative = new OperatorNode('-', 'unaryMinus', [chainDerivative]);\n      }\n\n      return new OperatorNode(op, func, [chainDerivative, funcDerivative]);\n    },\n    'OperatorNode, Object': function OperatorNodeObject(node, constNodes) {\n      if (constNodes[node] !== undefined) {\n        return createConstantNode(0);\n      }\n\n      if (node.op === '+') {\n        // d/dx(sum(f(x)) = sum(f'(x))\n        return new OperatorNode(node.op, node.fn, node.args.map(function (arg) {\n          return _derivative(arg, constNodes);\n        }));\n      }\n\n      if (node.op === '-') {\n        // d/dx(+/-f(x)) = +/-f'(x)\n        if (node.isUnary()) {\n          return new OperatorNode(node.op, node.fn, [_derivative(node.args[0], constNodes)]);\n        } // Linearity of differentiation, d/dx(f(x) +/- g(x)) = f'(x) +/- g'(x)\n\n\n        if (node.isBinary()) {\n          return new OperatorNode(node.op, node.fn, [_derivative(node.args[0], constNodes), _derivative(node.args[1], constNodes)]);\n        }\n      }\n\n      if (node.op === '*') {\n        // d/dx(c*f(x)) = c*f'(x)\n        var constantTerms = node.args.filter(function (arg) {\n          return constNodes[arg] !== undefined;\n        });\n\n        if (constantTerms.length > 0) {\n          var nonConstantTerms = node.args.filter(function (arg) {\n            return constNodes[arg] === undefined;\n          });\n          var nonConstantNode = nonConstantTerms.length === 1 ? nonConstantTerms[0] : new OperatorNode('*', 'multiply', nonConstantTerms);\n          var newArgs = constantTerms.concat(_derivative(nonConstantNode, constNodes));\n          return new OperatorNode('*', 'multiply', newArgs);\n        } // Product Rule, d/dx(f(x)*g(x)) = f'(x)*g(x) + f(x)*g'(x)\n\n\n        return new OperatorNode('+', 'add', node.args.map(function (argOuter) {\n          return new OperatorNode('*', 'multiply', node.args.map(function (argInner) {\n            return argInner === argOuter ? _derivative(argInner, constNodes) : argInner.clone();\n          }));\n        }));\n      }\n\n      if (node.op === '/' && node.isBinary()) {\n        var arg0 = node.args[0];\n        var arg1 = node.args[1]; // d/dx(f(x) / c) = f'(x) / c\n\n        if (constNodes[arg1] !== undefined) {\n          return new OperatorNode('/', 'divide', [_derivative(arg0, constNodes), arg1]);\n        } // Reciprocal Rule, d/dx(c / f(x)) = -c(f'(x)/f(x)^2)\n\n\n        if (constNodes[arg0] !== undefined) {\n          return new OperatorNode('*', 'multiply', [new OperatorNode('-', 'unaryMinus', [arg0]), new OperatorNode('/', 'divide', [_derivative(arg1, constNodes), new OperatorNode('^', 'pow', [arg1.clone(), createConstantNode(2)])])]);\n        } // Quotient rule, d/dx(f(x) / g(x)) = (f'(x)g(x) - f(x)g'(x)) / g(x)^2\n\n\n        return new OperatorNode('/', 'divide', [new OperatorNode('-', 'subtract', [new OperatorNode('*', 'multiply', [_derivative(arg0, constNodes), arg1.clone()]), new OperatorNode('*', 'multiply', [arg0.clone(), _derivative(arg1, constNodes)])]), new OperatorNode('^', 'pow', [arg1.clone(), createConstantNode(2)])]);\n      }\n\n      if (node.op === '^' && node.isBinary()) {\n        var _arg = node.args[0];\n        var _arg2 = node.args[1];\n\n        if (constNodes[_arg] !== undefined) {\n          // If is secretly constant; 0^f(x) = 1 (in JS), 1^f(x) = 1\n          if (type.isConstantNode(_arg) && (isZero(_arg.value) || equal(_arg.value, 1))) {\n            return createConstantNode(0);\n          } // d/dx(c^f(x)) = c^f(x)*ln(c)*f'(x)\n\n\n          return new OperatorNode('*', 'multiply', [node, new OperatorNode('*', 'multiply', [new FunctionNode('log', [_arg.clone()]), _derivative(_arg2.clone(), constNodes)])]);\n        }\n\n        if (constNodes[_arg2] !== undefined) {\n          if (type.isConstantNode(_arg2)) {\n            // If is secretly constant; f(x)^0 = 1 -> d/dx(1) = 0\n            if (isZero(_arg2.value)) {\n              return createConstantNode(0);\n            } // Ignore exponent; f(x)^1 = f(x)\n\n\n            if (equal(_arg2.value, 1)) {\n              return _derivative(_arg, constNodes);\n            }\n          } // Elementary Power Rule, d/dx(f(x)^c) = c*f'(x)*f(x)^(c-1)\n\n\n          var powMinusOne = new OperatorNode('^', 'pow', [_arg.clone(), new OperatorNode('-', 'subtract', [_arg2, createConstantNode(1)])]);\n          return new OperatorNode('*', 'multiply', [_arg2.clone(), new OperatorNode('*', 'multiply', [_derivative(_arg, constNodes), powMinusOne])]);\n        } // Functional Power Rule, d/dx(f^g) = f^g*[f'*(g/f) + g'ln(f)]\n\n\n        return new OperatorNode('*', 'multiply', [new OperatorNode('^', 'pow', [_arg.clone(), _arg2.clone()]), new OperatorNode('+', 'add', [new OperatorNode('*', 'multiply', [_derivative(_arg, constNodes), new OperatorNode('/', 'divide', [_arg2.clone(), _arg.clone()])]), new OperatorNode('*', 'multiply', [_derivative(_arg2, constNodes), new FunctionNode('log', [_arg.clone()])])])]);\n      }\n\n      throw new Error('Operator \"' + node.op + '\" is not supported by derivative, or a wrong number of arguments is passed');\n    }\n  });\n  /**\n   * Ensures the number of arguments for a function are correct,\n   * and will throw an error otherwise.\n   *\n   * @param {FunctionNode} node\n   */\n\n\n  function funcArgsCheck(node) {\n    // TODO add min, max etc\n    if ((node.name === 'log' || node.name === 'nthRoot') && node.args.length === 2) {\n      return;\n    } // There should be an incorrect number of arguments if we reach here\n    // Change all args to constants to avoid unidentified\n    // symbol error when compiling function\n\n\n    for (var i = 0; i < node.args.length; ++i) {\n      node.args[i] = createConstantNode(0);\n    }\n\n    node.compile().eval();\n    throw new Error('Expected TypeError, but none found');\n  }\n  /**\n   * Helper function to create a constant node with a specific type\n   * (number, BigNumber, Fraction)\n   * @param {number} value\n   * @param {string} [valueType]\n   * @return {ConstantNode}\n   */\n\n\n  function createConstantNode(value, valueType) {\n    return new ConstantNode(numeric(value, valueType || config.number));\n  }\n\n  return derivative;\n}\n\nexports.name = 'derivative';\nexports.factory = factory;","'use strict';\n\nfunction _typeof(obj) {\n  if (typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\") {\n    _typeof = function _typeof(obj) {\n      return typeof obj;\n    };\n  } else {\n    _typeof = function _typeof(obj) {\n      return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n    };\n  }\n\n  return _typeof(obj);\n}\n\nvar errorTransform = require('../../transform/error.transform').transform;\n\nvar setSafeProperty = require('../../../utils/customs').setSafeProperty;\n\nfunction factory(type, config, load, typed) {\n  var subset = load(require('../../../function/matrix/subset'));\n  var matrix = load(require('../../../type/matrix/function/matrix'));\n  /**\n   * Replace part of an object:\n   *\n   * - Assign a property to an object\n   * - Replace a part of a string\n   * - Replace a matrix subset\n   *\n   * @param {Object | Array | Matrix | string} object\n   * @param {Index} index\n   * @param {*} value\n   * @return {Object | Array | Matrix | string} Returns the original object\n   *                                            except in case of a string\n   */\n  // TODO: change assign to return the value instead of the object\n\n  return function assign(object, index, value) {\n    try {\n      if (Array.isArray(object)) {\n        return matrix(object).subset(index, value).valueOf();\n      } else if (object && typeof object.subset === 'function') {\n        // Matrix\n        return object.subset(index, value);\n      } else if (typeof object === 'string') {\n        // TODO: move setStringSubset into a separate util file, use that\n        return subset(object, index, value);\n      } else if (_typeof(object) === 'object') {\n        if (!index.isObjectProperty()) {\n          throw TypeError('Cannot apply a numeric index as object property');\n        }\n\n        setSafeProperty(object, index.getObjectProperty(), value);\n        return object;\n      } else {\n        throw new TypeError('Cannot apply index: unsupported type of object');\n      }\n    } catch (err) {\n      throw errorTransform(err);\n    }\n  };\n}\n\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed, math) {\n  var Node = math.expression.node.Node;\n  var OperatorNode = math.expression.node.OperatorNode;\n  var FunctionNode = math.expression.node.FunctionNode;\n  var ParenthesisNode = math.expression.node.ParenthesisNode;\n  /**\n   * resolve(expr, scope) replaces variable nodes with their scoped values\n   *\n   * Syntax:\n   *\n   *     simplify.resolve(expr, scope)\n   *\n   * Examples:\n   *\n   *     math.simplify.resolve('x + y', {x:1, y:2})           // Node {1 + 2}\n   *     math.simplify.resolve(math.parse('x+y'), {x:1, y:2}) // Node {1 + 2}\n   *     math.simplify('x+y', {x:2, y:'x+x'}).toString()      // \"6\"\n   *\n   * @param {Node} node\n   *     The expression tree to be simplified\n   * @param {Object} scope with variables to be resolved\n   */\n\n  function resolve(node, scope) {\n    if (!scope) {\n      return node;\n    }\n\n    if (type.isSymbolNode(node)) {\n      var value = scope[node.name];\n\n      if (value instanceof Node) {\n        return resolve(value, scope);\n      } else if (typeof value === 'number') {\n        return math.parse(String(value));\n      }\n    } else if (type.isOperatorNode(node)) {\n      var args = node.args.map(function (arg) {\n        return resolve(arg, scope);\n      });\n      return new OperatorNode(node.op, node.fn, args, node.implicit);\n    } else if (type.isParenthesisNode(node)) {\n      return new ParenthesisNode(resolve(node.content, scope));\n    } else if (type.isFunctionNode(node)) {\n      var _args = node.args.map(function (arg) {\n        return resolve(arg, scope);\n      });\n\n      return new FunctionNode(node.name, _args);\n    }\n\n    return node;\n  }\n\n  return resolve;\n}\n\nexports.math = true;\nexports.name = 'resolve';\nexports.path = 'algebra.simplify';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var simplify = load(require('./simplify'));\n  var simplifyCore = load(require('./simplify/simplifyCore'));\n  var simplifyConstant = load(require('./simplify/simplifyConstant'));\n  var parse = load(require('../../expression/function/parse'));\n\n  var number = require('../../utils/number');\n\n  var ConstantNode = load(require('../../expression/node/ConstantNode'));\n  var OperatorNode = load(require('../../expression/node/OperatorNode'));\n  var SymbolNode = load(require('../../expression/node/SymbolNode'));\n  /**\n   * Transform a rationalizable expression in a rational fraction.\n   * If rational fraction is one variable polynomial then converts\n   * the numerator and denominator in canonical form, with decreasing\n   * exponents, returning the coefficients of numerator.\n   *\n   * Syntax:\n   *\n   *     rationalize(expr)\n   *     rationalize(expr, detailed)\n   *     rationalize(expr, scope)\n   *     rationalize(expr, scope, detailed)\n   *\n   * Examples:\n   *\n   *     math.rationalize('sin(x)+y')\n   *                   //  Error: There is an unsolved function call\n   *     math.rationalize('2x/y - y/(x+1)')\n   *                   // (2*x^2-y^2+2*x)/(x*y+y)\n   *     math.rationalize('(2x+1)^6')\n   *                   // 64*x^6+192*x^5+240*x^4+160*x^3+60*x^2+12*x+1\n   *     math.rationalize('2x/( (2x-1) / (3x+2) ) - 5x/ ( (3x+4) / (2x^2-5) ) + 3')\n   *                   // -20*x^4+28*x^3+104*x^2+6*x-12)/(6*x^2+5*x-4)\n   *     math.rationalize('x/(1-x)/(x-2)/(x-3)/(x-4) + 2x/ ( (1-2x)/(2-3x) )/ ((3-4x)/(4-5x) )') =\n   *                   // (-30*x^7+344*x^6-1506*x^5+3200*x^4-3472*x^3+1846*x^2-381*x)/\n   *                   //     (-8*x^6+90*x^5-383*x^4+780*x^3-797*x^2+390*x-72)\n   *\n   *     math.rationalize('x+x+x+y',{y:1}) // 3*x+1\n   *     math.rationalize('x+x+x+y',{})    // 3*x+y\n   *\n   *     const ret = math.rationalize('x+x+x+y',{},true)\n   *                   // ret.expression=3*x+y, ret.variables = [\"x\",\"y\"]\n   *     const ret = math.rationalize('-2+5x^2',{},true)\n   *                   // ret.expression=5*x^2-2, ret.variables = [\"x\"], ret.coefficients=[-2,0,5]\n   *\n   * See also:\n   *\n   *     simplify\n   *\n   * @param  {Node|string} expr    The expression to check if is a polynomial expression\n   * @param  {Object|boolean}      optional scope of expression or true for already evaluated rational expression at input\n   * @param  {Boolean}  detailed   optional True if return an object, false if return expression node (default)\n   *\n   * @return {Object | Expression Node}    The rational polynomial of `expr` or na object\n   *            {Object}\n   *              {Expression Node} expression: node simplified expression\n   *              {Expression Node} numerator: simplified numerator of expression\n   *              {Expression Node | boolean} denominator: simplified denominator or false (if there is no denominator)\n   *              {Array}           variables:  variable names\n   *              {Array}           coefficients: coefficients of numerator sorted by increased exponent\n   *           {Expression Node}  node simplified expression\n   *\n   */\n\n  var rationalize = typed('rationalize', {\n    'string': function string(expr) {\n      return rationalize(parse(expr), {}, false);\n    },\n    'string, boolean': function stringBoolean(expr, detailed) {\n      return rationalize(parse(expr), {}, detailed);\n    },\n    'string, Object': function stringObject(expr, scope) {\n      return rationalize(parse(expr), scope, false);\n    },\n    'string, Object, boolean': function stringObjectBoolean(expr, scope, detailed) {\n      return rationalize(parse(expr), scope, detailed);\n    },\n    'Node': function Node(expr) {\n      return rationalize(expr, {}, false);\n    },\n    'Node, boolean': function NodeBoolean(expr, detailed) {\n      return rationalize(expr, {}, detailed);\n    },\n    'Node, Object': function NodeObject(expr, scope) {\n      return rationalize(expr, scope, false);\n    },\n    'Node, Object, boolean': function NodeObjectBoolean(expr, scope, detailed) {\n      var setRules = rulesRationalize(); // Rules for change polynomial in near canonical form\n\n      var polyRet = polynomial(expr, scope, true, setRules.firstRules); // Check if expression is a rationalizable polynomial\n\n      var nVars = polyRet.variables.length;\n      expr = polyRet.expression;\n\n      if (nVars >= 1) {\n        // If expression in not a constant\n        expr = expandPower(expr); // First expand power of polynomials (cannot be made from rules!)\n\n        var sBefore; // Previous expression\n\n        var rules;\n        var eDistrDiv = true;\n        var redoInic = false;\n        expr = simplify(expr, setRules.firstRules, {}, {\n          exactFractions: false\n        }); // Apply the initial rules, including succ div rules\n\n        var s;\n\n        while (true) {\n          // Apply alternately  successive division rules and distr.div.rules\n          rules = eDistrDiv ? setRules.distrDivRules : setRules.sucDivRules;\n          expr = simplify(expr, rules); // until no more changes\n\n          eDistrDiv = !eDistrDiv; // Swap between Distr.Div and Succ. Div. Rules\n\n          s = expr.toString();\n\n          if (s === sBefore) {\n            break; // No changes : end of the loop\n          }\n\n          redoInic = true;\n          sBefore = s;\n        }\n\n        if (redoInic) {\n          // Apply first rules again without succ div rules (if there are changes)\n          expr = simplify(expr, setRules.firstRulesAgain, {}, {\n            exactFractions: false\n          });\n        }\n\n        expr = simplify(expr, setRules.finalRules, {}, {\n          exactFractions: false\n        }); // Apply final rules\n      } // NVars >= 1\n\n\n      var coefficients = [];\n      var retRationalize = {};\n\n      if (expr.type === 'OperatorNode' && expr.isBinary() && expr.op === '/') {\n        // Separate numerator from denominator\n        if (nVars === 1) {\n          expr.args[0] = polyToCanonical(expr.args[0], coefficients);\n          expr.args[1] = polyToCanonical(expr.args[1]);\n        }\n\n        if (detailed) {\n          retRationalize.numerator = expr.args[0];\n          retRationalize.denominator = expr.args[1];\n        }\n      } else {\n        if (nVars === 1) {\n          expr = polyToCanonical(expr, coefficients);\n        }\n\n        if (detailed) {\n          retRationalize.numerator = expr;\n          retRationalize.denominator = null;\n        }\n      } // nVars\n\n\n      if (!detailed) return expr;\n      retRationalize.coefficients = coefficients;\n      retRationalize.variables = polyRet.variables;\n      retRationalize.expression = expr;\n      return retRationalize;\n    } // ^^^^^^^ end of rationalize ^^^^^^^^\n\n  }); // end of typed rationalize\n\n  /**\n   *  Function to simplify an expression using an optional scope and\n   *  return it if the expression is a polynomial expression, i.e.\n   *  an expression with one or more variables and the operators\n   *  +, -, *, and ^, where the exponent can only be a positive integer.\n   *\n   * Syntax:\n   *\n   *     polynomial(expr,scope,extended, rules)\n   *\n   * @param  {Node | string} expr     The expression to simplify and check if is polynomial expression\n   * @param  {object} scope           Optional scope for expression simplification\n   * @param  {boolean} extended       Optional. Default is false. When true allows divide operator.\n   * @param  {array}  rules           Optional. Default is no rule.\n   *\n   *\n   * @return {Object}\n   *            {Object} node:   node simplified expression\n   *            {Array}  variables:  variable names\n   */\n\n  function polynomial(expr, scope, extended, rules) {\n    var variables = [];\n    var node = simplify(expr, rules, scope, {\n      exactFractions: false\n    }); // Resolves any variables and functions with all defined parameters\n\n    extended = !!extended;\n    var oper = '+-*' + (extended ? '/' : '');\n    recPoly(node);\n    var retFunc = {};\n    retFunc.expression = node;\n    retFunc.variables = variables;\n    return retFunc; // -------------------------------------------------------------------------------------------------------\n\n    /**\n     *  Function to simplify an expression using an optional scope and\n     *  return it if the expression is a polynomial expression, i.e.\n     *  an expression with one or more variables and the operators\n     *  +, -, *, and ^, where the exponent can only be a positive integer.\n     *\n     * Syntax:\n     *\n     *     recPoly(node)\n     *\n     *\n     * @param  {Node} node               The current sub tree expression in recursion\n     *\n     * @return                           nothing, throw an exception if error\n     */\n\n    function recPoly(node) {\n      var tp = node.type; // node type\n\n      if (tp === 'FunctionNode') {\n        // No function call in polynomial expression\n        throw new Error('There is an unsolved function call');\n      } else if (tp === 'OperatorNode') {\n        if (node.op === '^') {\n          if (node.args[1].fn === 'unaryMinus') {\n            node = node.args[0];\n          }\n\n          if (node.args[1].type !== 'ConstantNode' || !number.isInteger(parseFloat(node.args[1].value))) {\n            throw new Error('There is a non-integer exponent');\n          } else {\n            recPoly(node.args[0]);\n          }\n        } else {\n          if (oper.indexOf(node.op) === -1) {\n            throw new Error('Operator ' + node.op + ' invalid in polynomial expression');\n          }\n\n          for (var i = 0; i < node.args.length; i++) {\n            recPoly(node.args[i]);\n          }\n        } // type of operator\n\n      } else if (tp === 'SymbolNode') {\n        var name = node.name; // variable name\n\n        var pos = variables.indexOf(name);\n\n        if (pos === -1) {\n          // new variable in expression\n          variables.push(name);\n        }\n      } else if (tp === 'ParenthesisNode') {\n        recPoly(node.content);\n      } else if (tp !== 'ConstantNode') {\n        throw new Error('type ' + tp + ' is not allowed in polynomial expression');\n      }\n    } // end of recPoly\n\n  } // end of polynomial\n  // ---------------------------------------------------------------------------------------\n\n  /**\n   * Return a rule set to rationalize an polynomial expression in rationalize\n   *\n   * Syntax:\n   *\n   *     rulesRationalize()\n   *\n   * @return {array}        rule set to rationalize an polynomial expression\n   */\n\n\n  function rulesRationalize() {\n    var oldRules = [simplifyCore, // sCore\n    {\n      l: 'n+n',\n      r: '2*n'\n    }, {\n      l: 'n+-n',\n      r: '0'\n    }, simplifyConstant, // sConstant\n    {\n      l: 'n*(n1^-1)',\n      r: 'n/n1'\n    }, {\n      l: 'n*n1^-n2',\n      r: 'n/n1^n2'\n    }, {\n      l: 'n1^-1',\n      r: '1/n1'\n    }, {\n      l: 'n*(n1/n2)',\n      r: '(n*n1)/n2'\n    }, {\n      l: '1*n',\n      r: 'n'\n    }];\n    var rulesFirst = [{\n      l: '(-n1)/(-n2)',\n      r: 'n1/n2'\n    }, // Unary division\n    {\n      l: '(-n1)*(-n2)',\n      r: 'n1*n2'\n    }, // Unary multiplication\n    {\n      l: 'n1--n2',\n      r: 'n1+n2'\n    }, // '--' elimination\n    {\n      l: 'n1-n2',\n      r: 'n1+(-n2)'\n    }, // Subtraction turn into add with un�ry minus\n    {\n      l: '(n1+n2)*n3',\n      r: '(n1*n3 + n2*n3)'\n    }, // Distributive 1\n    {\n      l: 'n1*(n2+n3)',\n      r: '(n1*n2+n1*n3)'\n    }, // Distributive 2\n    {\n      l: 'c1*n + c2*n',\n      r: '(c1+c2)*n'\n    }, // Joining constants\n    {\n      l: 'c1*n + n',\n      r: '(c1+1)*n'\n    }, // Joining constants\n    {\n      l: 'c1*n - c2*n',\n      r: '(c1-c2)*n'\n    }, // Joining constants\n    {\n      l: 'c1*n - n',\n      r: '(c1-1)*n'\n    }, // Joining constants\n    {\n      l: 'v/c',\n      r: '(1/c)*v'\n    }, // variable/constant (new!)\n    {\n      l: 'v/-c',\n      r: '-(1/c)*v'\n    }, // variable/constant (new!)\n    {\n      l: '-v*-c',\n      r: 'c*v'\n    }, // Inversion constant and variable 1\n    {\n      l: '-v*c',\n      r: '-c*v'\n    }, // Inversion constant and variable 2\n    {\n      l: 'v*-c',\n      r: '-c*v'\n    }, // Inversion constant and variable 3\n    {\n      l: 'v*c',\n      r: 'c*v'\n    }, // Inversion constant and variable 4\n    {\n      l: '-(-n1*n2)',\n      r: '(n1*n2)'\n    }, // Unary propagation\n    {\n      l: '-(n1*n2)',\n      r: '(-n1*n2)'\n    }, // Unary propagation\n    {\n      l: '-(-n1+n2)',\n      r: '(n1-n2)'\n    }, // Unary propagation\n    {\n      l: '-(n1+n2)',\n      r: '(-n1-n2)'\n    }, // Unary propagation\n    {\n      l: '(n1^n2)^n3',\n      r: '(n1^(n2*n3))'\n    }, // Power to Power\n    {\n      l: '-(-n1/n2)',\n      r: '(n1/n2)'\n    }, // Division and Unary\n    {\n      l: '-(n1/n2)',\n      r: '(-n1/n2)'\n    }]; // Divisao and Unary\n\n    var rulesDistrDiv = [{\n      l: '(n1/n2 + n3/n4)',\n      r: '((n1*n4 + n3*n2)/(n2*n4))'\n    }, // Sum of fractions\n    {\n      l: '(n1/n2 + n3)',\n      r: '((n1 + n3*n2)/n2)'\n    }, // Sum fraction with number 1\n    {\n      l: '(n1 + n2/n3)',\n      r: '((n1*n3 + n2)/n3)'\n    }]; // Sum fraction with number 1\n\n    var rulesSucDiv = [{\n      l: '(n1/(n2/n3))',\n      r: '((n1*n3)/n2)'\n    }, // Division simplification\n    {\n      l: '(n1/n2/n3)',\n      r: '(n1/(n2*n3))'\n    }];\n    var setRules = {}; // rules set in 4 steps.\n    // All rules => infinite loop\n    // setRules.allRules =oldRules.concat(rulesFirst,rulesDistrDiv,rulesSucDiv)\n\n    setRules.firstRules = oldRules.concat(rulesFirst, rulesSucDiv); // First rule set\n\n    setRules.distrDivRules = rulesDistrDiv; // Just distr. div. rules\n\n    setRules.sucDivRules = rulesSucDiv; // Jus succ. div. rules\n\n    setRules.firstRulesAgain = oldRules.concat(rulesFirst); // Last rules set without succ. div.\n    // Division simplification\n    // Second rule set.\n    // There is no aggregate expression with parentesis, but the only variable can be scattered.\n\n    setRules.finalRules = [simplifyCore, // simplify.rules[0]\n    {\n      l: 'n*-n',\n      r: '-n^2'\n    }, // Joining multiply with power 1\n    {\n      l: 'n*n',\n      r: 'n^2'\n    }, // Joining multiply with power 2\n    simplifyConstant, // simplify.rules[14] old 3rd index in oldRules\n    {\n      l: 'n*-n^n1',\n      r: '-n^(n1+1)'\n    }, // Joining multiply with power 3\n    {\n      l: 'n*n^n1',\n      r: 'n^(n1+1)'\n    }, // Joining multiply with power 4\n    {\n      l: 'n^n1*-n^n2',\n      r: '-n^(n1+n2)'\n    }, // Joining multiply with power 5\n    {\n      l: 'n^n1*n^n2',\n      r: 'n^(n1+n2)'\n    }, // Joining multiply with power 6\n    {\n      l: 'n^n1*-n',\n      r: '-n^(n1+1)'\n    }, // Joining multiply with power 7\n    {\n      l: 'n^n1*n',\n      r: 'n^(n1+1)'\n    }, // Joining multiply with power 8\n    {\n      l: 'n^n1/-n',\n      r: '-n^(n1-1)'\n    }, // Joining multiply with power 8\n    {\n      l: 'n^n1/n',\n      r: 'n^(n1-1)'\n    }, // Joining division with power 1\n    {\n      l: 'n/-n^n1',\n      r: '-n^(1-n1)'\n    }, // Joining division with power 2\n    {\n      l: 'n/n^n1',\n      r: 'n^(1-n1)'\n    }, // Joining division with power 3\n    {\n      l: 'n^n1/-n^n2',\n      r: 'n^(n1-n2)'\n    }, // Joining division with power 4\n    {\n      l: 'n^n1/n^n2',\n      r: 'n^(n1-n2)'\n    }, // Joining division with power 5\n    {\n      l: 'n1+(-n2*n3)',\n      r: 'n1-n2*n3'\n    }, // Solving useless parenthesis 1\n    {\n      l: 'v*(-c)',\n      r: '-c*v'\n    }, // Solving useless unary 2\n    {\n      l: 'n1+-n2',\n      r: 'n1-n2'\n    }, // Solving +- together (new!)\n    {\n      l: 'v*c',\n      r: 'c*v'\n    }, // inversion constant with variable\n    {\n      l: '(n1^n2)^n3',\n      r: '(n1^(n2*n3))' // Power to Power\n\n    }];\n    return setRules;\n  } // End rulesRationalize\n  // ---------------------------------------------------------------------------------------\n\n  /**\n   *  Expand recursively a tree node for handling with expressions with exponents\n   *  (it's not for constants, symbols or functions with exponents)\n   *  PS: The other parameters are internal for recursion\n   *\n   * Syntax:\n   *\n   *     expandPower(node)\n   *\n   * @param  {Node} node         Current expression node\n   * @param  {node} parent       Parent current node inside the recursion\n   * @param  (int}               Parent number of chid inside the rercursion\n   *\n   * @return {node}        node expression with all powers expanded.\n   */\n\n\n  function expandPower(node, parent, indParent) {\n    var tp = node.type;\n    var internal = arguments.length > 1; // TRUE in internal calls\n\n    if (tp === 'OperatorNode' && node.isBinary()) {\n      var does = false;\n      var val;\n\n      if (node.op === '^') {\n        // First operator: Parenthesis or UnaryMinus\n        if ((node.args[0].type === 'ParenthesisNode' || node.args[0].type === 'OperatorNode') && node.args[1].type === 'ConstantNode') {\n          // Second operator: Constant\n          val = parseFloat(node.args[1].value);\n          does = val >= 2 && number.isInteger(val);\n        }\n      }\n\n      if (does) {\n        // Exponent >= 2\n        // Before:\n        //            operator A --> Subtree\n        // parent pow\n        //            constant\n        //\n        if (val > 2) {\n          // Exponent > 2,\n          // AFTER:  (exponent > 2)\n          //             operator A --> Subtree\n          // parent  *\n          //                 deep clone (operator A --> Subtree\n          //             pow\n          //                 constant - 1\n          //\n          var nEsqTopo = node.args[0];\n          var nDirTopo = new OperatorNode('^', 'pow', [node.args[0].cloneDeep(), new ConstantNode(val - 1)]);\n          node = new OperatorNode('*', 'multiply', [nEsqTopo, nDirTopo]);\n        } else {\n          // Expo = 2 - no power\n          // AFTER:  (exponent =  2)\n          //             operator A --> Subtree\n          // parent   oper\n          //            deep clone (operator A --> Subtree)\n          //\n          node = new OperatorNode('*', 'multiply', [node.args[0], node.args[0].cloneDeep()]);\n        }\n\n        if (internal) {\n          // Change parent references in internal recursive calls\n          if (indParent === 'content') {\n            parent.content = node;\n          } else {\n            parent.args[indParent] = node;\n          }\n        }\n      } // does\n\n    } // binary OperatorNode\n\n\n    if (tp === 'ParenthesisNode') {\n      // Recursion\n      expandPower(node.content, node, 'content');\n    } else if (tp !== 'ConstantNode' && tp !== 'SymbolNode') {\n      for (var i = 0; i < node.args.length; i++) {\n        expandPower(node.args[i], node, i);\n      }\n    }\n\n    if (!internal) {\n      // return the root node\n      return node;\n    }\n  } // End expandPower\n  // ---------------------------------------------------------------------------------------\n\n  /**\n   * Auxilary function for rationalize\n   * Convert near canonical polynomial in one variable in a canonical polynomial\n   * with one term for each exponent in decreasing order\n   *\n   * Syntax:\n   *\n   *     polyToCanonical(node [, coefficients])\n   *\n   * @param  {Node | string} expr       The near canonical polynomial expression to convert in a a canonical polynomial expression\n   *\n   *        The string or tree expression needs to be at below syntax, with free spaces:\n   *         (  (^(-)? | [+-]? )cte (*)? var (^expo)?  | cte )+\n   *       Where 'var' is one variable with any valid name\n   *             'cte' are real numeric constants with any value. It can be omitted if equal than 1\n   *             'expo' are integers greater than 0. It can be omitted if equal than 1.\n   *\n   * @param  {array}   coefficients             Optional returns coefficients sorted by increased exponent\n   *\n   *\n   * @return {node}        new node tree with one variable polynomial or string error.\n   */\n\n\n  function polyToCanonical(node, coefficients) {\n    if (coefficients === undefined) {\n      coefficients = [];\n    } // coefficients.\n\n\n    coefficients[0] = 0; // index is the exponent\n\n    var o = {};\n    o.cte = 1;\n    o.oper = '+'; // fire: mark with * or ^ when finds * or ^ down tree, reset to \"\" with + and -.\n    //       It is used to deduce the exponent: 1 for *, 0 for \"\".\n\n    o.fire = '';\n    var maxExpo = 0; // maximum exponent\n\n    var varname = ''; // variable name\n\n    recurPol(node, null, o);\n    maxExpo = coefficients.length - 1;\n    var first = true;\n    var no;\n\n    for (var i = maxExpo; i >= 0; i--) {\n      if (coefficients[i] === 0) continue;\n      var n1 = new ConstantNode(first ? coefficients[i] : Math.abs(coefficients[i]));\n      var op = coefficients[i] < 0 ? '-' : '+';\n\n      if (i > 0) {\n        // Is not a constant without variable\n        var n2 = new SymbolNode(varname);\n\n        if (i > 1) {\n          var n3 = new ConstantNode(i);\n          n2 = new OperatorNode('^', 'pow', [n2, n3]);\n        }\n\n        if (coefficients[i] === -1 && first) {\n          n1 = new OperatorNode('-', 'unaryMinus', [n2]);\n        } else if (Math.abs(coefficients[i]) === 1) {\n          n1 = n2;\n        } else {\n          n1 = new OperatorNode('*', 'multiply', [n1, n2]);\n        }\n      }\n\n      if (first) {\n        no = n1;\n      } else if (op === '+') {\n        no = new OperatorNode('+', 'add', [no, n1]);\n      } else {\n        no = new OperatorNode('-', 'subtract', [no, n1]);\n      }\n\n      first = false;\n    } // for\n\n\n    if (first) {\n      return new ConstantNode(0);\n    } else {\n      return no;\n    }\n    /**\n     * Recursive auxilary function inside polyToCanonical for\n     * converting expression in canonical form\n     *\n     * Syntax:\n     *\n     *     recurPol(node, noPai, obj)\n     *\n     * @param  {Node} node        The current subpolynomial expression\n     * @param  {Node | Null}  noPai   The current parent node\n     * @param  {object}    obj        Object with many internal flags\n     *\n     * @return {}                    No return. If error, throws an exception\n     */\n\n\n    function recurPol(node, noPai, o) {\n      var tp = node.type;\n\n      if (tp === 'FunctionNode') {\n        // ***** FunctionName *****\n        // No function call in polynomial expression\n        throw new Error('There is an unsolved function call');\n      } else if (tp === 'OperatorNode') {\n        // ***** OperatorName *****\n        if ('+-*^'.indexOf(node.op) === -1) throw new Error('Operator ' + node.op + ' invalid');\n\n        if (noPai !== null) {\n          // -(unary),^  : children of *,+,-\n          if ((node.fn === 'unaryMinus' || node.fn === 'pow') && noPai.fn !== 'add' && noPai.fn !== 'subtract' && noPai.fn !== 'multiply') {\n            throw new Error('Invalid ' + node.op + ' placing');\n          } // -,+,* : children of +,-\n\n\n          if ((node.fn === 'subtract' || node.fn === 'add' || node.fn === 'multiply') && noPai.fn !== 'add' && noPai.fn !== 'subtract') {\n            throw new Error('Invalid ' + node.op + ' placing');\n          } // -,+ : first child\n\n\n          if ((node.fn === 'subtract' || node.fn === 'add' || node.fn === 'unaryMinus') && o.noFil !== 0) {\n            throw new Error('Invalid ' + node.op + ' placing');\n          }\n        } // Has parent\n        // Firers: ^,*       Old:   ^,&,-(unary): firers\n\n\n        if (node.op === '^' || node.op === '*') {\n          o.fire = node.op;\n        }\n\n        for (var _i = 0; _i < node.args.length; _i++) {\n          // +,-: reset fire\n          if (node.fn === 'unaryMinus') o.oper = '-';\n\n          if (node.op === '+' || node.fn === 'subtract') {\n            o.fire = '';\n            o.cte = 1; // default if there is no constant\n\n            o.oper = _i === 0 ? '+' : node.op;\n          }\n\n          o.noFil = _i; // number of son\n\n          recurPol(node.args[_i], node, o);\n        } // for in children\n\n      } else if (tp === 'SymbolNode') {\n        // ***** SymbolName *****\n        if (node.name !== varname && varname !== '') {\n          throw new Error('There is more than one variable');\n        }\n\n        varname = node.name;\n\n        if (noPai === null) {\n          coefficients[1] = 1;\n          return;\n        } // ^: Symbol is First child\n\n\n        if (noPai.op === '^' && o.noFil !== 0) {\n          throw new Error('In power the variable should be the first parameter');\n        } // *: Symbol is Second child\n\n\n        if (noPai.op === '*' && o.noFil !== 1) {\n          throw new Error('In multiply the variable should be the second parameter');\n        } // Symbol: firers '',* => it means there is no exponent above, so it's 1 (cte * var)\n\n\n        if (o.fire === '' || o.fire === '*') {\n          if (maxExpo < 1) coefficients[1] = 0;\n          coefficients[1] += o.cte * (o.oper === '+' ? 1 : -1);\n          maxExpo = Math.max(1, maxExpo);\n        }\n      } else if (tp === 'ConstantNode') {\n        var valor = parseFloat(node.value);\n\n        if (noPai === null) {\n          coefficients[0] = valor;\n          return;\n        }\n\n        if (noPai.op === '^') {\n          // cte: second  child of power\n          if (o.noFil !== 1) throw new Error('Constant cannot be powered');\n\n          if (!number.isInteger(valor) || valor <= 0) {\n            throw new Error('Non-integer exponent is not allowed');\n          }\n\n          for (var _i2 = maxExpo + 1; _i2 < valor; _i2++) {\n            coefficients[_i2] = 0;\n          }\n\n          if (valor > maxExpo) coefficients[valor] = 0;\n          coefficients[valor] += o.cte * (o.oper === '+' ? 1 : -1);\n          maxExpo = Math.max(valor, maxExpo);\n          return;\n        }\n\n        o.cte = valor; // Cte: firer '' => There is no exponent and no multiplication, so the exponent is 0.\n\n        if (o.fire === '') {\n          coefficients[0] += o.cte * (o.oper === '+' ? 1 : -1);\n        }\n      } else {\n        throw new Error('Type ' + tp + ' is not allowed');\n      }\n    } // End of recurPol\n\n  } // End of polyToCanonical\n\n\n  return rationalize;\n} // end of factory\n\n\nexports.name = 'rationalize';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../../type/matrix/function/matrix'));\n  var zeros = load(require('../../matrix/zeros'));\n  var identity = load(require('../../matrix/identity'));\n  var isZero = load(require('../../utils/isZero'));\n  var unequal = load(require('../../relational/unequal'));\n  var sign = load(require('../../arithmetic/sign'));\n  var sqrt = load(require('../../arithmetic/sqrt'));\n  var conj = load(require('../../complex/conj'));\n  var unaryMinus = load(require('../../arithmetic/unaryMinus'));\n  var addScalar = load(require('../../arithmetic/addScalar'));\n  var divideScalar = load(require('../../arithmetic/divideScalar'));\n  var multiplyScalar = load(require('../../arithmetic/multiplyScalar'));\n  var subtract = load(require('../../arithmetic/subtract'));\n  /**\n   * Calculate the Matrix QR decomposition. Matrix `A` is decomposed in\n   * two matrices (`Q`, `R`) where `Q` is an\n   * orthogonal matrix and `R` is an upper triangular matrix.\n   *\n   * Syntax:\n   *\n   *    math.qr(A)\n   *\n   * Example:\n   *\n   *    const m = [\n   *      [1, -1,  4],\n   *      [1,  4, -2],\n   *      [1,  4,  2],\n   *      [1,  -1, 0]\n   *    ]\n   *    const result = math.qr(m)\n   *    // r = {\n   *    //   Q: [\n   *    //     [0.5, -0.5,   0.5],\n   *    //     [0.5,  0.5,  -0.5],\n   *    //     [0.5,  0.5,   0.5],\n   *    //     [0.5, -0.5,  -0.5],\n   *    //   ],\n   *    //   R: [\n   *    //     [2, 3,  2],\n   *    //     [0, 5, -2],\n   *    //     [0, 0,  4],\n   *    //     [0, 0,  0]\n   *    //   ]\n   *    // }\n   *\n   * See also:\n   *\n   *    lup, lusolve\n   *\n   * @param {Matrix | Array} A    A two dimensional matrix or array\n   * for which to get the QR decomposition.\n   *\n   * @return {{Q: Array | Matrix, R: Array | Matrix}} Q: the orthogonal\n   * matrix and R: the upper triangular matrix\n   */\n\n  var qr = typed('qr', {\n    'DenseMatrix': function DenseMatrix(m) {\n      return _denseQR(m);\n    },\n    'SparseMatrix': function SparseMatrix(m) {\n      return _sparseQR(m);\n    },\n    'Array': function Array(a) {\n      // create dense matrix from array\n      var m = matrix(a); // lup, use matrix implementation\n\n      var r = _denseQR(m); // result\n\n\n      return {\n        Q: r.Q.valueOf(),\n        R: r.R.valueOf()\n      };\n    }\n  });\n\n  function _denseQR(m) {\n    // rows & columns (m x n)\n    var rows = m._size[0]; // m\n\n    var cols = m._size[1]; // n\n\n    var Q = identity([rows], 'dense');\n    var Qdata = Q._data;\n    var R = m.clone();\n    var Rdata = R._data; // vars\n\n    var i, j, k;\n    var w = zeros([rows], '');\n\n    for (k = 0; k < Math.min(cols, rows); ++k) {\n      /*\n       * **k-th Household matrix**\n       *\n       * The matrix I - 2*v*transpose(v)\n       * x     = first column of A\n       * x1    = first element of x\n       * alpha = x1 / |x1| * |x|\n       * e1    = tranpose([1, 0, 0, ...])\n       * u     = x - alpha * e1\n       * v     = u / |u|\n       *\n       * Household matrix = I - 2 * v * tranpose(v)\n       *\n       *  * Initially Q = I and R = A.\n       *  * Household matrix is a reflection in a plane normal to v which\n       *    will zero out all but the top right element in R.\n       *  * Appplying reflection to both Q and R will not change product.\n       *  * Repeat this process on the (1,1) minor to get R as an upper\n       *    triangular matrix.\n       *  * Reflections leave the magnitude of the columns of Q unchanged\n       *    so Q remains othoganal.\n       *\n       */\n      var pivot = Rdata[k][k];\n      var sgn = unaryMinus(sign(pivot));\n      var conjSgn = conj(sgn);\n      var alphaSquared = 0;\n\n      for (i = k; i < rows; i++) {\n        alphaSquared = addScalar(alphaSquared, multiplyScalar(Rdata[i][k], conj(Rdata[i][k])));\n      }\n\n      var alpha = multiplyScalar(sgn, sqrt(alphaSquared));\n\n      if (!isZero(alpha)) {\n        // first element in vector u\n        var u1 = subtract(pivot, alpha); // w = v * u1 / |u|    (only elements k to (rows-1) are used)\n\n        w[k] = 1;\n\n        for (i = k + 1; i < rows; i++) {\n          w[i] = divideScalar(Rdata[i][k], u1);\n        } // tau = - conj(u1 / alpha)\n\n\n        var tau = unaryMinus(conj(divideScalar(u1, alpha)));\n        var s = void 0;\n        /*\n         * tau and w have been choosen so that\n         *\n         * 2 * v * tranpose(v) = tau * w * tranpose(w)\n         */\n\n        /*\n         * -- calculate R = R - tau * w * tranpose(w) * R --\n         * Only do calculation with rows k to (rows-1)\n         * Additionally columns 0 to (k-1) will not be changed by this\n         *   multiplication so do not bother recalculating them\n         */\n\n        for (j = k; j < cols; j++) {\n          s = 0.0; // calculate jth element of [tranpose(w) * R]\n\n          for (i = k; i < rows; i++) {\n            s = addScalar(s, multiplyScalar(conj(w[i]), Rdata[i][j]));\n          } // calculate the jth element of [tau * transpose(w) * R]\n\n\n          s = multiplyScalar(s, tau);\n\n          for (i = k; i < rows; i++) {\n            Rdata[i][j] = multiplyScalar(subtract(Rdata[i][j], multiplyScalar(w[i], s)), conjSgn);\n          }\n        }\n        /*\n         * -- calculate Q = Q - tau * Q * w * transpose(w) --\n         * Q is a square matrix (rows x rows)\n         * Only do calculation with columns k to (rows-1)\n         * Additionally rows 0 to (k-1) will not be changed by this\n         *   multiplication so do not bother recalculating them\n         */\n\n\n        for (i = 0; i < rows; i++) {\n          s = 0.0; // calculate ith element of [Q * w]\n\n          for (j = k; j < rows; j++) {\n            s = addScalar(s, multiplyScalar(Qdata[i][j], w[j]));\n          } // calculate the ith element of [tau * Q * w]\n\n\n          s = multiplyScalar(s, tau);\n\n          for (j = k; j < rows; ++j) {\n            Qdata[i][j] = divideScalar(subtract(Qdata[i][j], multiplyScalar(s, conj(w[j]))), conjSgn);\n          }\n        }\n      }\n    } // coerse almost zero elements to zero\n    // TODO I feel uneasy just zeroing these values\n\n\n    for (i = 0; i < rows; ++i) {\n      for (j = 0; j < i && j < cols; ++j) {\n        if (unequal(0, divideScalar(Rdata[i][j], 1e5))) {\n          throw new Error('math.qr(): unknown error - ' + 'R is not lower triangular (element (' + i + ', ' + j + ')  = ' + Rdata[i][j] + ')');\n        }\n\n        Rdata[i][j] = multiplyScalar(Rdata[i][j], 0);\n      }\n    } // return matrices\n\n\n    return {\n      Q: Q,\n      R: R,\n      toString: function toString() {\n        return 'Q: ' + this.Q.toString() + '\\nR: ' + this.R.toString();\n      }\n    };\n  }\n\n  function _sparseQR(m) {\n    throw new Error('qr not implemented for sparse matrices yet');\n  }\n\n  return qr;\n}\n\nexports.name = 'qr';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load) {\n  var csAmd = load(require('./csAmd'));\n  var csPermute = load(require('./csPermute'));\n  var csEtree = load(require('./csEtree'));\n  var csPost = load(require('./csPost'));\n  var csCounts = load(require('./csCounts'));\n  /**\n   * Symbolic ordering and analysis for QR and LU decompositions.\n   *\n   * @param {Number}  order           The ordering strategy (see csAmd for more details)\n   * @param {Matrix}  a               The A matrix\n   * @param {boolean} qr              Symbolic ordering and analysis for QR decomposition (true) or\n   *                                  symbolic ordering and analysis for LU decomposition (false)\n   *\n   * @return {Object}                 The Symbolic ordering and analysis for matrix A\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csSqr = function csSqr(order, a, qr) {\n    // a arrays\n    var aptr = a._ptr;\n    var asize = a._size; // columns\n\n    var n = asize[1]; // vars\n\n    var k; // symbolic analysis result\n\n    var s = {}; // fill-reducing ordering\n\n    s.q = csAmd(order, a); // validate results\n\n    if (order && !s.q) {\n      return null;\n    } // QR symbolic analysis\n\n\n    if (qr) {\n      // apply permutations if needed\n      var c = order ? csPermute(a, null, s.q, 0) : a; // etree of C'*C, where C=A(:,q)\n\n      s.parent = csEtree(c, 1); // post order elimination tree\n\n      var post = csPost(s.parent, n); // col counts chol(C'*C)\n\n      s.cp = csCounts(c, s.parent, post, 1); // check we have everything needed to calculate number of nonzero elements\n\n      if (c && s.parent && s.cp && _vcount(c, s)) {\n        // calculate number of nonzero elements\n        for (s.unz = 0, k = 0; k < n; k++) {\n          s.unz += s.cp[k];\n        }\n      }\n    } else {\n      // for LU factorization only, guess nnz(L) and nnz(U)\n      s.unz = 4 * aptr[n] + n;\n      s.lnz = s.unz;\n    } // return result S\n\n\n    return s;\n  };\n  /**\n   * Compute nnz(V) = s.lnz, s.pinv, s.leftmost, s.m2 from A and s.parent\n   */\n\n\n  function _vcount(a, s) {\n    // a arrays\n    var aptr = a._ptr;\n    var aindex = a._index;\n    var asize = a._size; // rows & columns\n\n    var m = asize[0];\n    var n = asize[1]; // initialize s arrays\n\n    s.pinv = []; // (m + n)\n\n    s.leftmost = []; // (m)\n    // vars\n\n    var parent = s.parent;\n    var pinv = s.pinv;\n    var leftmost = s.leftmost; // workspace, next: first m entries, head: next n entries, tail: next n entries, nque: next n entries\n\n    var w = []; // (m + 3 * n)\n\n    var next = 0;\n    var head = m;\n    var tail = m + n;\n    var nque = m + 2 * n; // vars\n\n    var i, k, p, p0, p1; // initialize w\n\n    for (k = 0; k < n; k++) {\n      // queue k is empty\n      w[head + k] = -1;\n      w[tail + k] = -1;\n      w[nque + k] = 0;\n    } // initialize row arrays\n\n\n    for (i = 0; i < m; i++) {\n      leftmost[i] = -1;\n    } // loop columns backwards\n\n\n    for (k = n - 1; k >= 0; k--) {\n      // values & index for column k\n      for (p0 = aptr[k], p1 = aptr[k + 1], p = p0; p < p1; p++) {\n        // leftmost[i] = min(find(A(i,:)))\n        leftmost[aindex[p]] = k;\n      }\n    } // scan rows in reverse order\n\n\n    for (i = m - 1; i >= 0; i--) {\n      // row i is not yet ordered\n      pinv[i] = -1;\n      k = leftmost[i]; // check row i is empty\n\n      if (k === -1) {\n        continue;\n      } // first row in queue k\n\n\n      if (w[nque + k]++ === 0) {\n        w[tail + k] = i;\n      } // put i at head of queue k\n\n\n      w[next + i] = w[head + k];\n      w[head + k] = i;\n    }\n\n    s.lnz = 0;\n    s.m2 = m; // find row permutation and nnz(V)\n\n    for (k = 0; k < n; k++) {\n      // remove row i from queue k\n      i = w[head + k]; // count V(k,k) as nonzero\n\n      s.lnz++; // add a fictitious row\n\n      if (i < 0) {\n        i = s.m2++;\n      } // associate row i with V(:,k)\n\n\n      pinv[i] = k; // skip if V(k+1:m,k) is empty\n\n      if (--nque[k] <= 0) {\n        continue;\n      } // nque[k] is nnz (V(k+1:m,k))\n\n\n      s.lnz += w[nque + k]; // move all rows to parent of k\n\n      var pa = parent[k];\n\n      if (pa !== -1) {\n        if (w[nque + pa] === 0) {\n          w[tail + pa] = w[tail + k];\n        }\n\n        w[next + w[tail + k]] = w[head + pa];\n        w[head + pa] = w[next + i];\n        w[nque + pa] += w[nque + k];\n      }\n    }\n\n    for (i = 0; i < m; i++) {\n      if (pinv[i] < 0) {\n        pinv[i] = k++;\n      }\n    }\n\n    return true;\n  }\n\n  return csSqr;\n}\n\nexports.name = 'csSqr';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load) {\n  var csFlip = load(require('./csFlip'));\n  var csFkeep = load(require('./csFkeep'));\n  var csTdfs = load(require('./csTdfs'));\n  var add = load(require('../../arithmetic/add'));\n  var multiply = load(require('../../arithmetic/multiply'));\n  var transpose = load(require('../../matrix/transpose'));\n  /**\n   * Approximate minimum degree ordering. The minimum degree algorithm is a widely used\n   * heuristic for finding a permutation P so that P*A*P' has fewer nonzeros in its factorization\n   * than A. It is a gready method that selects the sparsest pivot row and column during the course\n   * of a right looking sparse Cholesky factorization.\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   *\n   * @param {Number} order    0: Natural, 1: Cholesky, 2: LU, 3: QR\n   * @param {Matrix} m        Sparse Matrix\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csAmd = function csAmd(order, a) {\n    // check input parameters\n    if (!a || order <= 0 || order > 3) {\n      return null;\n    } // a matrix arrays\n\n\n    var asize = a._size; // rows and columns\n\n    var m = asize[0];\n    var n = asize[1]; // initialize vars\n\n    var lemax = 0; // dense threshold\n\n    var dense = Math.max(16, 10 * Math.sqrt(n));\n    dense = Math.min(n - 2, dense); // create target matrix C\n\n    var cm = _createTargetMatrix(order, a, m, n, dense); // drop diagonal entries\n\n\n    csFkeep(cm, _diag, null); // C matrix arrays\n\n    var cindex = cm._index;\n    var cptr = cm._ptr; // number of nonzero elements in C\n\n    var cnz = cptr[n]; // allocate result (n+1)\n\n    var P = []; // create workspace (8 * (n + 1))\n\n    var W = [];\n    var len = 0; // first n + 1 entries\n\n    var nv = n + 1; // next n + 1 entries\n\n    var next = 2 * (n + 1); // next n + 1 entries\n\n    var head = 3 * (n + 1); // next n + 1 entries\n\n    var elen = 4 * (n + 1); // next n + 1 entries\n\n    var degree = 5 * (n + 1); // next n + 1 entries\n\n    var w = 6 * (n + 1); // next n + 1 entries\n\n    var hhead = 7 * (n + 1); // last n + 1 entries\n    // use P as workspace for last\n\n    var last = P; // initialize quotient graph\n\n    var mark = _initializeQuotientGraph(n, cptr, W, len, head, last, next, hhead, nv, w, elen, degree); // initialize degree lists\n\n\n    var nel = _initializeDegreeLists(n, cptr, W, degree, elen, w, dense, nv, head, last, next); // minimum degree node\n\n\n    var mindeg = 0; // vars\n\n    var i, j, k, k1, k2, e, pj, ln, nvi, pk, eln, p1, p2, pn, h, d; // while (selecting pivots) do\n\n    while (nel < n) {\n      // select node of minimum approximate degree. amd() is now ready to start eliminating the graph. It first\n      // finds a node k of minimum degree and removes it from its degree list. The variable nel keeps track of thow\n      // many nodes have been eliminated.\n      for (k = -1; mindeg < n && (k = W[head + mindeg]) === -1; mindeg++) {\n        ;\n      }\n\n      if (W[next + k] !== -1) {\n        last[W[next + k]] = -1;\n      } // remove k from degree list\n\n\n      W[head + mindeg] = W[next + k]; // elenk = |Ek|\n\n      var elenk = W[elen + k]; // # of nodes k represents\n\n      var nvk = W[nv + k]; // W[nv + k] nodes of A eliminated\n\n      nel += nvk; // Construct a new element. The new element Lk is constructed in place if |Ek| = 0. nv[i] is\n      // negated for all nodes i in Lk to flag them as members of this set. Each node i is removed from the\n      // degree lists. All elements e in Ek are absorved into element k.\n\n      var dk = 0; // flag k as in Lk\n\n      W[nv + k] = -nvk;\n      var p = cptr[k]; // do in place if W[elen + k] === 0\n\n      var pk1 = elenk === 0 ? p : cnz;\n      var pk2 = pk1;\n\n      for (k1 = 1; k1 <= elenk + 1; k1++) {\n        if (k1 > elenk) {\n          // search the nodes in k\n          e = k; // list of nodes starts at cindex[pj]\n\n          pj = p; // length of list of nodes in k\n\n          ln = W[len + k] - elenk;\n        } else {\n          // search the nodes in e\n          e = cindex[p++];\n          pj = cptr[e]; // length of list of nodes in e\n\n          ln = W[len + e];\n        }\n\n        for (k2 = 1; k2 <= ln; k2++) {\n          i = cindex[pj++]; // check  node i dead, or seen\n\n          if ((nvi = W[nv + i]) <= 0) {\n            continue;\n          } // W[degree + Lk] += size of node i\n\n\n          dk += nvi; // negate W[nv + i] to denote i in Lk\n\n          W[nv + i] = -nvi; // place i in Lk\n\n          cindex[pk2++] = i;\n\n          if (W[next + i] !== -1) {\n            last[W[next + i]] = last[i];\n          } // check we need to remove i from degree list\n\n\n          if (last[i] !== -1) {\n            W[next + last[i]] = W[next + i];\n          } else {\n            W[head + W[degree + i]] = W[next + i];\n          }\n        }\n\n        if (e !== k) {\n          // absorb e into k\n          cptr[e] = csFlip(k); // e is now a dead element\n\n          W[w + e] = 0;\n        }\n      } // cindex[cnz...nzmax] is free\n\n\n      if (elenk !== 0) {\n        cnz = pk2;\n      } // external degree of k - |Lk\\i|\n\n\n      W[degree + k] = dk; // element k is in cindex[pk1..pk2-1]\n\n      cptr[k] = pk1;\n      W[len + k] = pk2 - pk1; // k is now an element\n\n      W[elen + k] = -2; // Find set differences. The scan1 function now computes the set differences |Le \\ Lk| for all elements e. At the start of the\n      // scan, no entry in the w array is greater than or equal to mark.\n      // clear w if necessary\n\n      mark = _wclear(mark, lemax, W, w, n); // scan 1: find |Le\\Lk|\n\n      for (pk = pk1; pk < pk2; pk++) {\n        i = cindex[pk]; // check if W[elen + i] empty, skip it\n\n        if ((eln = W[elen + i]) <= 0) {\n          continue;\n        } // W[nv + i] was negated\n\n\n        nvi = -W[nv + i];\n        var wnvi = mark - nvi; // scan Ei\n\n        for (p = cptr[i], p1 = cptr[i] + eln - 1; p <= p1; p++) {\n          e = cindex[p];\n\n          if (W[w + e] >= mark) {\n            // decrement |Le\\Lk|\n            W[w + e] -= nvi;\n          } else if (W[w + e] !== 0) {\n            // ensure e is a live element, 1st time e seen in scan 1\n            W[w + e] = W[degree + e] + wnvi;\n          }\n        }\n      } // degree update\n      // The second pass computes the approximate degree di, prunes the sets Ei and Ai, and computes a hash\n      // function h(i) for all nodes in Lk.\n      // scan2: degree update\n\n\n      for (pk = pk1; pk < pk2; pk++) {\n        // consider node i in Lk\n        i = cindex[pk];\n        p1 = cptr[i];\n        p2 = p1 + W[elen + i] - 1;\n        pn = p1; // scan Ei\n\n        for (h = 0, d = 0, p = p1; p <= p2; p++) {\n          e = cindex[p]; // check e is an unabsorbed element\n\n          if (W[w + e] !== 0) {\n            // dext = |Le\\Lk|\n            var dext = W[w + e] - mark;\n\n            if (dext > 0) {\n              // sum up the set differences\n              d += dext; // keep e in Ei\n\n              cindex[pn++] = e; // compute the hash of node i\n\n              h += e;\n            } else {\n              // aggressive absorb. e->k\n              cptr[e] = csFlip(k); // e is a dead element\n\n              W[w + e] = 0;\n            }\n          }\n        } // W[elen + i] = |Ei|\n\n\n        W[elen + i] = pn - p1 + 1;\n        var p3 = pn;\n        var p4 = p1 + W[len + i]; // prune edges in Ai\n\n        for (p = p2 + 1; p < p4; p++) {\n          j = cindex[p]; // check node j dead or in Lk\n\n          var nvj = W[nv + j];\n\n          if (nvj <= 0) {\n            continue;\n          } // degree(i) += |j|\n\n\n          d += nvj; // place j in node list of i\n\n          cindex[pn++] = j; // compute hash for node i\n\n          h += j;\n        } // check for mass elimination\n\n\n        if (d === 0) {\n          // absorb i into k\n          cptr[i] = csFlip(k);\n          nvi = -W[nv + i]; // |Lk| -= |i|\n\n          dk -= nvi; // |k| += W[nv + i]\n\n          nvk += nvi;\n          nel += nvi;\n          W[nv + i] = 0; // node i is dead\n\n          W[elen + i] = -1;\n        } else {\n          // update degree(i)\n          W[degree + i] = Math.min(W[degree + i], d); // move first node to end\n\n          cindex[pn] = cindex[p3]; // move 1st el. to end of Ei\n\n          cindex[p3] = cindex[p1]; // add k as 1st element in of Ei\n\n          cindex[p1] = k; // new len of adj. list of node i\n\n          W[len + i] = pn - p1 + 1; // finalize hash of i\n\n          h = (h < 0 ? -h : h) % n; // place i in hash bucket\n\n          W[next + i] = W[hhead + h];\n          W[hhead + h] = i; // save hash of i in last[i]\n\n          last[i] = h;\n        }\n      } // finalize |Lk|\n\n\n      W[degree + k] = dk;\n      lemax = Math.max(lemax, dk); // clear w\n\n      mark = _wclear(mark + lemax, lemax, W, w, n); // Supernode detection. Supernode detection relies on the hash function h(i) computed for each node i.\n      // If two nodes have identical adjacency lists, their hash functions wil be identical.\n\n      for (pk = pk1; pk < pk2; pk++) {\n        i = cindex[pk]; // check i is dead, skip it\n\n        if (W[nv + i] >= 0) {\n          continue;\n        } // scan hash bucket of node i\n\n\n        h = last[i];\n        i = W[hhead + h]; // hash bucket will be empty\n\n        W[hhead + h] = -1;\n\n        for (; i !== -1 && W[next + i] !== -1; i = W[next + i], mark++) {\n          ln = W[len + i];\n          eln = W[elen + i];\n\n          for (p = cptr[i] + 1; p <= cptr[i] + ln - 1; p++) {\n            W[w + cindex[p]] = mark;\n          }\n\n          var jlast = i; // compare i with all j\n\n          for (j = W[next + i]; j !== -1;) {\n            var ok = W[len + j] === ln && W[elen + j] === eln;\n\n            for (p = cptr[j] + 1; ok && p <= cptr[j] + ln - 1; p++) {\n              // compare i and j\n              if (W[w + cindex[p]] !== mark) {\n                ok = 0;\n              }\n            } // check i and j are identical\n\n\n            if (ok) {\n              // absorb j into i\n              cptr[j] = csFlip(i);\n              W[nv + i] += W[nv + j];\n              W[nv + j] = 0; // node j is dead\n\n              W[elen + j] = -1; // delete j from hash bucket\n\n              j = W[next + j];\n              W[next + jlast] = j;\n            } else {\n              // j and i are different\n              jlast = j;\n              j = W[next + j];\n            }\n          }\n        }\n      } // Finalize new element. The elimination of node k is nearly complete. All nodes i in Lk are scanned one last time.\n      // Node i is removed from Lk if it is dead. The flagged status of nv[i] is cleared.\n\n\n      for (p = pk1, pk = pk1; pk < pk2; pk++) {\n        i = cindex[pk]; // check  i is dead, skip it\n\n        if ((nvi = -W[nv + i]) <= 0) {\n          continue;\n        } // restore W[nv + i]\n\n\n        W[nv + i] = nvi; // compute external degree(i)\n\n        d = W[degree + i] + dk - nvi;\n        d = Math.min(d, n - nel - nvi);\n\n        if (W[head + d] !== -1) {\n          last[W[head + d]] = i;\n        } // put i back in degree list\n\n\n        W[next + i] = W[head + d];\n        last[i] = -1;\n        W[head + d] = i; // find new minimum degree\n\n        mindeg = Math.min(mindeg, d);\n        W[degree + i] = d; // place i in Lk\n\n        cindex[p++] = i;\n      } // # nodes absorbed into k\n\n\n      W[nv + k] = nvk; // length of adj list of element k\n\n      if ((W[len + k] = p - pk1) === 0) {\n        // k is a root of the tree\n        cptr[k] = -1; // k is now a dead element\n\n        W[w + k] = 0;\n      }\n\n      if (elenk !== 0) {\n        // free unused space in Lk\n        cnz = p;\n      }\n    } // Postordering. The elimination is complete, but no permutation has been computed. All that is left\n    // of the graph is the assembly tree (ptr) and a set of dead nodes and elements (i is a dead node if\n    // nv[i] is zero and a dead element if nv[i] > 0). It is from this information only that the final permutation\n    // is computed. The tree is restored by unflipping all of ptr.\n    // fix assembly tree\n\n\n    for (i = 0; i < n; i++) {\n      cptr[i] = csFlip(cptr[i]);\n    }\n\n    for (j = 0; j <= n; j++) {\n      W[head + j] = -1;\n    } // place unordered nodes in lists\n\n\n    for (j = n; j >= 0; j--) {\n      // skip if j is an element\n      if (W[nv + j] > 0) {\n        continue;\n      } // place j in list of its parent\n\n\n      W[next + j] = W[head + cptr[j]];\n      W[head + cptr[j]] = j;\n    } // place elements in lists\n\n\n    for (e = n; e >= 0; e--) {\n      // skip unless e is an element\n      if (W[nv + e] <= 0) {\n        continue;\n      }\n\n      if (cptr[e] !== -1) {\n        // place e in list of its parent\n        W[next + e] = W[head + cptr[e]];\n        W[head + cptr[e]] = e;\n      }\n    } // postorder the assembly tree\n\n\n    for (k = 0, i = 0; i <= n; i++) {\n      if (cptr[i] === -1) {\n        k = csTdfs(i, k, W, head, next, P, w);\n      }\n    } // remove last item in array\n\n\n    P.splice(P.length - 1, 1); // return P\n\n    return P;\n  };\n  /**\n   * Creates the matrix that will be used by the approximate minimum degree ordering algorithm. The function accepts the matrix M as input and returns a permutation\n   * vector P. The amd algorithm operates on a symmetrix matrix, so one of three symmetric matrices is formed.\n   *\n   * Order: 0\n   *   A natural ordering P=null matrix is returned.\n   *\n   * Order: 1\n   *   Matrix must be square. This is appropriate for a Cholesky or LU factorization.\n   *   P = M + M'\n   *\n   * Order: 2\n   *   Dense columns from M' are dropped, M recreated from M'. This is appropriatefor LU factorization of unsymmetric matrices.\n   *   P = M' * M\n   *\n   * Order: 3\n   *   This is best used for QR factorization or LU factorization is matrix M has no dense rows. A dense row is a row with more than 10*sqr(columns) entries.\n   *   P = M' * M\n   */\n\n\n  function _createTargetMatrix(order, a, m, n, dense) {\n    // compute A'\n    var at = transpose(a); // check order = 1, matrix must be square\n\n    if (order === 1 && n === m) {\n      // C = A + A'\n      return add(a, at);\n    } // check order = 2, drop dense columns from M'\n\n\n    if (order === 2) {\n      // transpose arrays\n      var tindex = at._index;\n      var tptr = at._ptr; // new column index\n\n      var p2 = 0; // loop A' columns (rows)\n\n      for (var j = 0; j < m; j++) {\n        // column j of AT starts here\n        var p = tptr[j]; // new column j starts here\n\n        tptr[j] = p2; // skip dense col j\n\n        if (tptr[j + 1] - p > dense) {\n          continue;\n        } // map rows in column j of A\n\n\n        for (var p1 = tptr[j + 1]; p < p1; p++) {\n          tindex[p2++] = tindex[p];\n        }\n      } // finalize AT\n\n\n      tptr[m] = p2; // recreate A from new transpose matrix\n\n      a = transpose(at); // use A' * A\n\n      return multiply(at, a);\n    } // use A' * A, square or rectangular matrix\n\n\n    return multiply(at, a);\n  }\n  /**\n   * Initialize quotient graph. There are four kind of nodes and elements that must be represented:\n   *\n   *  - A live node is a node i (or a supernode) that has not been selected as a pivot nad has not been merged into another supernode.\n   *  - A dead node i is one that has been removed from the graph, having been absorved into r = flip(ptr[i]).\n   *  - A live element e is one that is in the graph, having been formed when node e was selected as the pivot.\n   *  - A dead element e is one that has benn absorved into a subsequent element s = flip(ptr[e]).\n   */\n\n\n  function _initializeQuotientGraph(n, cptr, W, len, head, last, next, hhead, nv, w, elen, degree) {\n    // Initialize quotient graph\n    for (var k = 0; k < n; k++) {\n      W[len + k] = cptr[k + 1] - cptr[k];\n    }\n\n    W[len + n] = 0; // initialize workspace\n\n    for (var i = 0; i <= n; i++) {\n      // degree list i is empty\n      W[head + i] = -1;\n      last[i] = -1;\n      W[next + i] = -1; // hash list i is empty\n\n      W[hhead + i] = -1; // node i is just one node\n\n      W[nv + i] = 1; // node i is alive\n\n      W[w + i] = 1; // Ek of node i is empty\n\n      W[elen + i] = 0; // degree of node i\n\n      W[degree + i] = W[len + i];\n    } // clear w\n\n\n    var mark = _wclear(0, 0, W, w, n); // n is a dead element\n\n\n    W[elen + n] = -2; // n is a root of assembly tree\n\n    cptr[n] = -1; // n is a dead element\n\n    W[w + n] = 0; // return mark\n\n    return mark;\n  }\n  /**\n   * Initialize degree lists. Each node is placed in its degree lists. Nodes of zero degree are eliminated immediately. Nodes with\n   * degree >= dense are alsol eliminated and merged into a placeholder node n, a dead element. Thes nodes will appera last in the\n   * output permutation p.\n   */\n\n\n  function _initializeDegreeLists(n, cptr, W, degree, elen, w, dense, nv, head, last, next) {\n    // result\n    var nel = 0; // loop columns\n\n    for (var i = 0; i < n; i++) {\n      // degree @ i\n      var d = W[degree + i]; // check node i is empty\n\n      if (d === 0) {\n        // element i is dead\n        W[elen + i] = -2;\n        nel++; // i is a root of assembly tree\n\n        cptr[i] = -1;\n        W[w + i] = 0;\n      } else if (d > dense) {\n        // absorb i into element n\n        W[nv + i] = 0; // node i is dead\n\n        W[elen + i] = -1;\n        nel++;\n        cptr[i] = csFlip(n);\n        W[nv + n]++;\n      } else {\n        var h = W[head + d];\n\n        if (h !== -1) {\n          last[h] = i;\n        } // put node i in degree list d\n\n\n        W[next + i] = W[head + d];\n        W[head + d] = i;\n      }\n    }\n\n    return nel;\n  }\n\n  function _wclear(mark, lemax, W, w, n) {\n    if (mark < 2 || mark + lemax < 0) {\n      for (var k = 0; k < n; k++) {\n        if (W[w + k] !== 0) {\n          W[w + k] = 1;\n        }\n      }\n\n      mark = 2;\n    } // at this point, W [0..n-1] < mark holds\n\n\n    return mark;\n  }\n\n  function _diag(i, j) {\n    return i !== j;\n  }\n\n  return csAmd;\n}\n\nexports.name = 'csAmd';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory() {\n  /**\n   * Keeps entries in the matrix when the callback function returns true, removes the entry otherwise\n   *\n   * @param {Matrix}   a              The sparse matrix\n   * @param {function} callback       The callback function, function will be invoked with the following args:\n   *                                    - The entry row\n   *                                    - The entry column\n   *                                    - The entry value\n   *                                    - The state parameter\n   * @param {any}      other          The state\n   *\n   * @return                          The number of nonzero elements in the matrix\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n  var csFkeep = function csFkeep(a, callback, other) {\n    // a arrays\n    var avalues = a._values;\n    var aindex = a._index;\n    var aptr = a._ptr;\n    var asize = a._size; // columns\n\n    var n = asize[1]; // nonzero items\n\n    var nz = 0; // loop columns\n\n    for (var j = 0; j < n; j++) {\n      // get current location of col j\n      var p = aptr[j]; // record new location of col j\n\n      aptr[j] = nz;\n\n      for (; p < aptr[j + 1]; p++) {\n        // check we need to keep this item\n        if (callback(aindex[p], j, avalues ? avalues[p] : 1, other)) {\n          // keep A(i,j)\n          aindex[nz] = aindex[p]; // check we need to process values (pattern only)\n\n          if (avalues) {\n            avalues[nz] = avalues[p];\n          } // increment nonzero items\n\n\n          nz++;\n        }\n      }\n    } // finalize A\n\n\n    aptr[n] = nz; // trim arrays\n\n    aindex.splice(nz, aindex.length - nz); // check we need to process values (pattern only)\n\n    if (avalues) {\n      avalues.splice(nz, avalues.length - nz);\n    } // return number of nonzero items\n\n\n    return nz;\n  };\n\n  return csFkeep;\n}\n\nexports.name = 'csFkeep';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type) {\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Permutes a sparse matrix C = P * A * Q\n   *\n   * @param {Matrix}  a               The Matrix A\n   * @param {Array}   pinv            The row permutation vector\n   * @param {Array}   q               The column permutation vector\n   * @param {boolean} values          Create a pattern matrix (false), values and pattern otherwise\n   *\n   * @return {Matrix}                 C = P * A * Q, null on error\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csPermute = function csPermute(a, pinv, q, values) {\n    // a arrays\n    var avalues = a._values;\n    var aindex = a._index;\n    var aptr = a._ptr;\n    var asize = a._size;\n    var adt = a._datatype; // rows & columns\n\n    var m = asize[0];\n    var n = asize[1]; // c arrays\n\n    var cvalues = values && a._values ? [] : null;\n    var cindex = []; // (aptr[n])\n\n    var cptr = []; // (n + 1)\n    // initialize vars\n\n    var nz = 0; // loop columns\n\n    for (var k = 0; k < n; k++) {\n      // column k of C is column q[k] of A\n      cptr[k] = nz; // apply column permutation\n\n      var j = q ? q[k] : k; // loop values in column j of A\n\n      for (var t0 = aptr[j], t1 = aptr[j + 1], t = t0; t < t1; t++) {\n        // row i of A is row pinv[i] of C\n        var r = pinv ? pinv[aindex[t]] : aindex[t]; // index\n\n        cindex[nz] = r; // check we need to populate values\n\n        if (cvalues) {\n          cvalues[nz] = avalues[t];\n        } // increment number of nonzero elements\n\n\n        nz++;\n      }\n    } // finalize the last column of C\n\n\n    cptr[n] = nz; // return C matrix\n\n    return new SparseMatrix({\n      values: cvalues,\n      index: cindex,\n      ptr: cptr,\n      size: [m, n],\n      datatype: adt\n    });\n  };\n\n  return csPermute;\n}\n\nexports.name = 'csPermute';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory() {\n  /**\n   * Computes the elimination tree of Matrix A (using triu(A)) or the\n   * elimination tree of A'A without forming A'A.\n   *\n   * @param {Matrix}  a               The A Matrix\n   * @param {boolean} ata             A value of true the function computes the etree of A'A\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n  var csEtree = function csEtree(a, ata) {\n    // check inputs\n    if (!a) {\n      return null;\n    } // a arrays\n\n\n    var aindex = a._index;\n    var aptr = a._ptr;\n    var asize = a._size; // rows & columns\n\n    var m = asize[0];\n    var n = asize[1]; // allocate result\n\n    var parent = []; // (n)\n    // allocate workspace\n\n    var w = []; // (n + (ata ? m : 0))\n\n    var ancestor = 0; // first n entries in w\n\n    var prev = n; // last m entries (ata = true)\n\n    var i, inext; // check we are calculating A'A\n\n    if (ata) {\n      // initialize workspace\n      for (i = 0; i < m; i++) {\n        w[prev + i] = -1;\n      }\n    } // loop columns\n\n\n    for (var k = 0; k < n; k++) {\n      // node k has no parent yet\n      parent[k] = -1; // nor does k have an ancestor\n\n      w[ancestor + k] = -1; // values in column k\n\n      for (var p0 = aptr[k], p1 = aptr[k + 1], p = p0; p < p1; p++) {\n        // row\n        var r = aindex[p]; // node\n\n        i = ata ? w[prev + r] : r; // traverse from i to k\n\n        for (; i !== -1 && i < k; i = inext) {\n          // inext = ancestor of i\n          inext = w[ancestor + i]; // path compression\n\n          w[ancestor + i] = k; // check no anc., parent is k\n\n          if (inext === -1) {\n            parent[i] = k;\n          }\n        }\n\n        if (ata) {\n          w[prev + r] = k;\n        }\n      }\n    }\n\n    return parent;\n  };\n\n  return csEtree;\n}\n\nexports.name = 'csEtree';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load) {\n  var csTdfs = load(require('./csTdfs'));\n  /**\n   * Post order a tree of forest\n   *\n   * @param {Array}   parent          The tree or forest\n   * @param {Number}  n               Number of columns\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csPost = function csPost(parent, n) {\n    // check inputs\n    if (!parent) {\n      return null;\n    } // vars\n\n\n    var k = 0;\n    var j; // allocate result\n\n    var post = []; // (n)\n    // workspace, head: first n entries, next: next n entries, stack: last n entries\n\n    var w = []; // (3 * n)\n\n    var head = 0;\n    var next = n;\n    var stack = 2 * n; // initialize workspace\n\n    for (j = 0; j < n; j++) {\n      // empty linked lists\n      w[head + j] = -1;\n    } // traverse nodes in reverse order\n\n\n    for (j = n - 1; j >= 0; j--) {\n      // check j is a root\n      if (parent[j] === -1) {\n        continue;\n      } // add j to list of its parent\n\n\n      w[next + j] = w[head + parent[j]];\n      w[head + parent[j]] = j;\n    } // loop nodes\n\n\n    for (j = 0; j < n; j++) {\n      // skip j if it is not a root\n      if (parent[j] !== -1) {\n        continue;\n      } // depth-first search\n\n\n      k = csTdfs(j, k, w, head, next, post, stack);\n    }\n\n    return post;\n  };\n\n  return csPost;\n}\n\nexports.name = 'csPost';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load) {\n  var transpose = load(require('../../matrix/transpose'));\n  var csLeaf = load(require('./csLeaf'));\n  /**\n   * Computes the column counts using the upper triangular part of A.\n   * It transposes A internally, none of the input parameters are modified.\n   *\n   * @param {Matrix} a           The sparse matrix A\n   *\n   * @param {Matrix} ata         Count the columns of A'A instead\n   *\n   * @return                     An array of size n of the column counts or null on error\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csCounts = function csCounts(a, parent, post, ata) {\n    // check inputs\n    if (!a || !parent || !post) {\n      return null;\n    } // a matrix arrays\n\n\n    var asize = a._size; // rows and columns\n\n    var m = asize[0];\n    var n = asize[1]; // variables\n\n    var i, j, k, J, p, p0, p1; // workspace size\n\n    var s = 4 * n + (ata ? n + m + 1 : 0); // allocate workspace\n\n    var w = []; // (s)\n\n    var ancestor = 0; // first n entries\n\n    var maxfirst = n; // next n entries\n\n    var prevleaf = 2 * n; // next n entries\n\n    var first = 3 * n; // next n entries\n\n    var head = 4 * n; // next n + 1 entries (used when ata is true)\n\n    var next = 5 * n + 1; // last entries in workspace\n    // clear workspace w[0..s-1]\n\n    for (k = 0; k < s; k++) {\n      w[k] = -1;\n    } // allocate result\n\n\n    var colcount = []; // (n)\n    // AT = A'\n\n    var at = transpose(a); // at arrays\n\n    var tindex = at._index;\n    var tptr = at._ptr; // find w[first + j]\n\n    for (k = 0; k < n; k++) {\n      j = post[k]; // colcount[j]=1 if j is a leaf\n\n      colcount[j] = w[first + j] === -1 ? 1 : 0;\n\n      for (; j !== -1 && w[first + j] === -1; j = parent[j]) {\n        w[first + j] = k;\n      }\n    } // initialize ata if needed\n\n\n    if (ata) {\n      // invert post\n      for (k = 0; k < n; k++) {\n        w[post[k]] = k;\n      } // loop rows (columns in AT)\n\n\n      for (i = 0; i < m; i++) {\n        // values in column i of AT\n        for (k = n, p0 = tptr[i], p1 = tptr[i + 1], p = p0; p < p1; p++) {\n          k = Math.min(k, w[tindex[p]]);\n        } // place row i in linked list k\n\n\n        w[next + i] = w[head + k];\n        w[head + k] = i;\n      }\n    } // each node in its own set\n\n\n    for (i = 0; i < n; i++) {\n      w[ancestor + i] = i;\n    }\n\n    for (k = 0; k < n; k++) {\n      // j is the kth node in postordered etree\n      j = post[k]; // check j is not a root\n\n      if (parent[j] !== -1) {\n        colcount[parent[j]]--;\n      } // J=j for LL'=A case\n\n\n      for (J = ata ? w[head + k] : j; J !== -1; J = ata ? w[next + J] : -1) {\n        for (p = tptr[J]; p < tptr[J + 1]; p++) {\n          i = tindex[p];\n          var r = csLeaf(i, j, w, first, maxfirst, prevleaf, ancestor); // check A(i,j) is in skeleton\n\n          if (r.jleaf >= 1) {\n            colcount[j]++;\n          } // check account for overlap in q\n\n\n          if (r.jleaf === 2) {\n            colcount[r.q]--;\n          }\n        }\n      }\n\n      if (parent[j] !== -1) {\n        w[ancestor + j] = parent[j];\n      }\n    } // sum up colcount's of each child\n\n\n    for (j = 0; j < n; j++) {\n      if (parent[j] !== -1) {\n        colcount[parent[j]] += colcount[j];\n      }\n    }\n\n    return colcount;\n  };\n\n  return csCounts;\n}\n\nexports.name = 'csCounts';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory() {\n  /**\n   * This function determines if j is a leaf of the ith row subtree.\n   * Consider A(i,j), node j in ith row subtree and return lca(jprev,j)\n   *\n   * @param {Number}  i               The ith row subtree\n   * @param {Number}  j               The node to test\n   * @param {Array}   w               The workspace array\n   * @param {Number}  first           The index offset within the workspace for the first array\n   * @param {Number}  maxfirst        The index offset within the workspace for the maxfirst array\n   * @param {Number}  prevleaf        The index offset within the workspace for the prevleaf array\n   * @param {Number}  ancestor        The index offset within the workspace for the ancestor array\n   *\n   * @return {Object}\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n  var csLeaf = function csLeaf(i, j, w, first, maxfirst, prevleaf, ancestor) {\n    var s, sparent, jprev; // our result\n\n    var jleaf = 0;\n    var q; // check j is a leaf\n\n    if (i <= j || w[first + j] <= w[maxfirst + i]) {\n      return -1;\n    } // update max first[j] seen so far\n\n\n    w[maxfirst + i] = w[first + j]; // jprev = previous leaf of ith subtree\n\n    jprev = w[prevleaf + i];\n    w[prevleaf + i] = j; // check j is first or subsequent leaf\n\n    if (jprev === -1) {\n      // 1st leaf, q = root of ith subtree\n      jleaf = 1;\n      q = i;\n    } else {\n      // update jleaf\n      jleaf = 2; // q = least common ancester (jprev,j)\n\n      for (q = jprev; q !== w[ancestor + q]; q = w[ancestor + q]) {\n        ;\n      }\n\n      for (s = jprev; s !== q; s = sparent) {\n        // path compression\n        sparent = w[ancestor + s];\n        w[ancestor + s] = q;\n      }\n    }\n\n    return {\n      jleaf: jleaf,\n      q: q\n    };\n  };\n\n  return csLeaf;\n}\n\nexports.name = 'csLeaf';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load) {\n  var abs = load(require('../../arithmetic/abs'));\n  var divideScalar = load(require('../../arithmetic/divideScalar'));\n  var multiply = load(require('../../arithmetic/multiply'));\n  var larger = load(require('../../relational/larger'));\n  var largerEq = load(require('../../relational/largerEq'));\n  var csSpsolve = load(require('./csSpsolve'));\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Computes the numeric LU factorization of the sparse matrix A. Implements a Left-looking LU factorization\n   * algorithm that computes L and U one column at a tume. At the kth step, it access columns 1 to k-1 of L\n   * and column k of A. Given the fill-reducing column ordering q (see parameter s) computes L, U and pinv so\n   * L * U = A(p, q), where p is the inverse of pinv.\n   *\n   * @param {Matrix}  m               The A Matrix to factorize\n   * @param {Object}  s               The symbolic analysis from csSqr(). Provides the fill-reducing\n   *                                  column ordering q\n   * @param {Number}  tol             Partial pivoting threshold (1 for partial pivoting)\n   *\n   * @return {Number}                 The numeric LU factorization of A or null\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csLu = function csLu(m, s, tol) {\n    // validate input\n    if (!m) {\n      return null;\n    } // m arrays\n\n\n    var size = m._size; // columns\n\n    var n = size[1]; // symbolic analysis result\n\n    var q;\n    var lnz = 100;\n    var unz = 100; // update symbolic analysis parameters\n\n    if (s) {\n      q = s.q;\n      lnz = s.lnz || lnz;\n      unz = s.unz || unz;\n    } // L arrays\n\n\n    var lvalues = []; // (lnz)\n\n    var lindex = []; // (lnz)\n\n    var lptr = []; // (n + 1)\n    // L\n\n    var L = new SparseMatrix({\n      values: lvalues,\n      index: lindex,\n      ptr: lptr,\n      size: [n, n]\n    }); // U arrays\n\n    var uvalues = []; // (unz)\n\n    var uindex = []; // (unz)\n\n    var uptr = []; // (n + 1)\n    // U\n\n    var U = new SparseMatrix({\n      values: uvalues,\n      index: uindex,\n      ptr: uptr,\n      size: [n, n]\n    }); // inverse of permutation vector\n\n    var pinv = []; // (n)\n    // vars\n\n    var i, p; // allocate arrays\n\n    var x = []; // (n)\n\n    var xi = []; // (2 * n)\n    // initialize variables\n\n    for (i = 0; i < n; i++) {\n      // clear workspace\n      x[i] = 0; // no rows pivotal yet\n\n      pinv[i] = -1; // no cols of L yet\n\n      lptr[i + 1] = 0;\n    } // reset number of nonzero elements in L and U\n\n\n    lnz = 0;\n    unz = 0; // compute L(:,k) and U(:,k)\n\n    for (var k = 0; k < n; k++) {\n      // update ptr\n      lptr[k] = lnz;\n      uptr[k] = unz; // apply column permutations if needed\n\n      var col = q ? q[k] : k; // solve triangular system, x = L\\A(:,col)\n\n      var top = csSpsolve(L, m, col, xi, x, pinv, 1); // find pivot\n\n      var ipiv = -1;\n      var a = -1; // loop xi[] from top -> n\n\n      for (p = top; p < n; p++) {\n        // x[i] is nonzero\n        i = xi[p]; // check row i is not yet pivotal\n\n        if (pinv[i] < 0) {\n          // absolute value of x[i]\n          var xabs = abs(x[i]); // check absoulte value is greater than pivot value\n\n          if (larger(xabs, a)) {\n            // largest pivot candidate so far\n            a = xabs;\n            ipiv = i;\n          }\n        } else {\n          // x(i) is the entry U(pinv[i],k)\n          uindex[unz] = pinv[i];\n          uvalues[unz++] = x[i];\n        }\n      } // validate we found a valid pivot\n\n\n      if (ipiv === -1 || a <= 0) {\n        return null;\n      } // update actual pivot column, give preference to diagonal value\n\n\n      if (pinv[col] < 0 && largerEq(abs(x[col]), multiply(a, tol))) {\n        ipiv = col;\n      } // the chosen pivot\n\n\n      var pivot = x[ipiv]; // last entry in U(:,k) is U(k,k)\n\n      uindex[unz] = k;\n      uvalues[unz++] = pivot; // ipiv is the kth pivot row\n\n      pinv[ipiv] = k; // first entry in L(:,k) is L(k,k) = 1\n\n      lindex[lnz] = ipiv;\n      lvalues[lnz++] = 1; // L(k+1:n,k) = x / pivot\n\n      for (p = top; p < n; p++) {\n        // row\n        i = xi[p]; // check x(i) is an entry in L(:,k)\n\n        if (pinv[i] < 0) {\n          // save unpermuted row in L\n          lindex[lnz] = i; // scale pivot column\n\n          lvalues[lnz++] = divideScalar(x[i], pivot);\n        } // x[0..n-1] = 0 for next k\n\n\n        x[i] = 0;\n      }\n    } // update ptr\n\n\n    lptr[n] = lnz;\n    uptr[n] = unz; // fix row indices of L for final pinv\n\n    for (p = 0; p < lnz; p++) {\n      lindex[p] = pinv[lindex[p]];\n    } // trim arrays\n\n\n    lvalues.splice(lnz, lvalues.length - lnz);\n    lindex.splice(lnz, lindex.length - lnz);\n    uvalues.splice(unz, uvalues.length - unz);\n    uindex.splice(unz, uindex.length - unz); // return LU factor\n\n    return {\n      L: L,\n      U: U,\n      pinv: pinv\n    };\n  };\n\n  return csLu;\n}\n\nexports.name = 'csLu';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load) {\n  var divideScalar = load(require('../../arithmetic/divideScalar'));\n  var multiply = load(require('../../arithmetic/multiply'));\n  var subtract = load(require('../../arithmetic/subtract'));\n  var csReach = load(require('./csReach'));\n  /**\n   * The function csSpsolve() computes the solution to G * x = bk, where bk is the\n   * kth column of B. When lo is true, the function assumes G = L is lower triangular with the\n   * diagonal entry as the first entry in each column. When lo is true, the function assumes G = U\n   * is upper triangular with the diagonal entry as the last entry in each column.\n   *\n   * @param {Matrix}  g               The G matrix\n   * @param {Matrix}  b               The B matrix\n   * @param {Number}  k               The kth column in B\n   * @param {Array}   xi              The nonzero pattern xi[top] .. xi[n - 1], an array of size = 2 * n\n   *                                  The first n entries is the nonzero pattern, the last n entries is the stack\n   * @param {Array}   x               The soluton to the linear system G * x = b\n   * @param {Array}   pinv            The inverse row permutation vector, must be null for L * x = b\n   * @param {boolean} lo              The lower (true) upper triangular (false) flag\n   *\n   * @return {Number}                 The index for the nonzero pattern\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csSpsolve = function csSpsolve(g, b, k, xi, x, pinv, lo) {\n    // g arrays\n    var gvalues = g._values;\n    var gindex = g._index;\n    var gptr = g._ptr;\n    var gsize = g._size; // columns\n\n    var n = gsize[1]; // b arrays\n\n    var bvalues = b._values;\n    var bindex = b._index;\n    var bptr = b._ptr; // vars\n\n    var p, p0, p1, q; // xi[top..n-1] = csReach(B(:,k))\n\n    var top = csReach(g, b, k, xi, pinv); // clear x\n\n    for (p = top; p < n; p++) {\n      x[xi[p]] = 0;\n    } // scatter b\n\n\n    for (p0 = bptr[k], p1 = bptr[k + 1], p = p0; p < p1; p++) {\n      x[bindex[p]] = bvalues[p];\n    } // loop columns\n\n\n    for (var px = top; px < n; px++) {\n      // x array index for px\n      var j = xi[px]; // apply permutation vector (U x = b), j maps to column J of G\n\n      var J = pinv ? pinv[j] : j; // check column J is empty\n\n      if (J < 0) {\n        continue;\n      } // column value indeces in G, p0 <= p < p1\n\n\n      p0 = gptr[J];\n      p1 = gptr[J + 1]; // x(j) /= G(j,j)\n\n      x[j] = divideScalar(x[j], gvalues[lo ? p0 : p1 - 1]); // first entry L(j,j)\n\n      p = lo ? p0 + 1 : p0;\n      q = lo ? p1 : p1 - 1; // loop\n\n      for (; p < q; p++) {\n        // row\n        var i = gindex[p]; // x(i) -= G(i,j) * x(j)\n\n        x[i] = subtract(x[i], multiply(gvalues[p], x[j]));\n      }\n    } // return top of stack\n\n\n    return top;\n  };\n\n  return csSpsolve;\n}\n\nexports.name = 'csSpsolve';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load) {\n  var csDfs = load(require('./csDfs'));\n  var csMarked = load(require('./csMarked'));\n  var csMark = load(require('./csMark'));\n  /**\n   * The csReach function computes X = Reach(B), where B is the nonzero pattern of the n-by-1\n   * sparse column of vector b. The function returns the set of nodes reachable from any node in B. The\n   * nonzero pattern xi of the solution x to the sparse linear system Lx=b is given by X=Reach(B).\n   *\n   * @param {Matrix}  g               The G matrix\n   * @param {Matrix}  b               The B matrix\n   * @param {Number}  k               The kth column in B\n   * @param {Array}   xi              The nonzero pattern xi[top] .. xi[n - 1], an array of size = 2 * n\n   *                                  The first n entries is the nonzero pattern, the last n entries is the stack\n   * @param {Array}   pinv            The inverse row permutation vector\n   *\n   * @return {Number}                 The index for the nonzero pattern\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csReach = function csReach(g, b, k, xi, pinv) {\n    // g arrays\n    var gptr = g._ptr;\n    var gsize = g._size; // b arrays\n\n    var bindex = b._index;\n    var bptr = b._ptr; // columns\n\n    var n = gsize[1]; // vars\n\n    var p, p0, p1; // initialize top\n\n    var top = n; // loop column indeces in B\n\n    for (p0 = bptr[k], p1 = bptr[k + 1], p = p0; p < p1; p++) {\n      // node i\n      var i = bindex[p]; // check node i is marked\n\n      if (!csMarked(gptr, i)) {\n        // start a dfs at unmarked node i\n        top = csDfs(i, g, top, xi, pinv);\n      }\n    } // loop columns from top -> n - 1\n\n\n    for (p = top; p < n; p++) {\n      // restore G\n      csMark(gptr, xi[p]);\n    }\n\n    return top;\n  };\n\n  return csReach;\n}\n\nexports.name = 'csReach';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load) {\n  var csMarked = load(require('./csMarked'));\n  var csMark = load(require('./csMark'));\n  var csUnflip = load(require('./csUnflip'));\n  /**\n   * Depth-first search computes the nonzero pattern xi of the directed graph G (Matrix) starting\n   * at nodes in B (see csReach()).\n   *\n   * @param {Number}  j               The starting node for the DFS algorithm\n   * @param {Matrix}  g               The G matrix to search, ptr array modified, then restored\n   * @param {Number}  top             Start index in stack xi[top..n-1]\n   * @param {Number}  k               The kth column in B\n   * @param {Array}   xi              The nonzero pattern xi[top] .. xi[n - 1], an array of size = 2 * n\n   *                                  The first n entries is the nonzero pattern, the last n entries is the stack\n   * @param {Array}   pinv            The inverse row permutation vector, must be null for L * x = b\n   *\n   * @return {Number}                 New value of top\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csDfs = function csDfs(j, g, top, xi, pinv) {\n    // g arrays\n    var index = g._index;\n    var ptr = g._ptr;\n    var size = g._size; // columns\n\n    var n = size[1]; // vars\n\n    var i, p, p2; // initialize head\n\n    var head = 0; // initialize the recursion stack\n\n    xi[0] = j; // loop\n\n    while (head >= 0) {\n      // get j from the top of the recursion stack\n      j = xi[head]; // apply permutation vector\n\n      var jnew = pinv ? pinv[j] : j; // check node j is marked\n\n      if (!csMarked(ptr, j)) {\n        // mark node j as visited\n        csMark(ptr, j); // update stack (last n entries in xi)\n\n        xi[n + head] = jnew < 0 ? 0 : csUnflip(ptr[jnew]);\n      } // node j done if no unvisited neighbors\n\n\n      var done = 1; // examine all neighbors of j, stack (last n entries in xi)\n\n      for (p = xi[n + head], p2 = jnew < 0 ? 0 : csUnflip(ptr[jnew + 1]); p < p2; p++) {\n        // consider neighbor node i\n        i = index[p]; // check we have visited node i, skip it\n\n        if (csMarked(ptr, i)) {\n          continue;\n        } // pause depth-first search of node j, update stack (last n entries in xi)\n\n\n        xi[n + head] = p; // start dfs at node i\n\n        xi[++head] = i; // node j is not done\n\n        done = 0; // break, to start dfs(i)\n\n        break;\n      } // check depth-first search at node j is done\n\n\n      if (done) {\n        // remove j from the recursion stack\n        head--; // and place in the output stack\n\n        xi[--top] = j;\n      }\n    }\n\n    return top;\n  };\n\n  return csDfs;\n}\n\nexports.name = 'csDfs';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load) {\n  var csFlip = load(require('./csFlip'));\n  /**\n   * Flips the value if it is negative of returns the same value otherwise.\n   *\n   * @param {Number}  i               The value to flip\n   *\n   * Reference: http://faculty.cse.tamu.edu/davis/publications.html\n   */\n\n  var csUnflip = function csUnflip(i) {\n    // flip the value if it is negative\n    return i < 0 ? csFlip(i) : i;\n  };\n\n  return csUnflip;\n}\n\nexports.name = 'csUnflip';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nvar isArray = Array.isArray;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../../type/matrix/function/matrix'));\n  var lup = load(require('../decomposition/lup'));\n  var slu = load(require('../decomposition/slu'));\n  var csIpvec = load(require('../sparse/csIpvec'));\n  var solveValidation = load(require('./utils/solveValidation'));\n  var usolve = load(require('./usolve'));\n  var lsolve = load(require('./lsolve'));\n  /**\n   * Solves the linear system `A * x = b` where `A` is an [n x n] matrix and `b` is a [n] column vector.\n   *\n   * Syntax:\n   *\n   *    math.lusolve(A, b)     // returns column vector with the solution to the linear system A * x = b\n   *    math.lusolve(lup, b)   // returns column vector with the solution to the linear system A * x = b, lup = math.lup(A)\n   *\n   * Examples:\n   *\n   *    const m = [[1, 0, 0, 0], [0, 2, 0, 0], [0, 0, 3, 0], [0, 0, 0, 4]]\n   *\n   *    const x = math.lusolve(m, [-1, -1, -1, -1])        // x = [[-1], [-0.5], [-1/3], [-0.25]]\n   *\n   *    const f = math.lup(m)\n   *    const x1 = math.lusolve(f, [-1, -1, -1, -1])       // x1 = [[-1], [-0.5], [-1/3], [-0.25]]\n   *    const x2 = math.lusolve(f, [1, 2, 1, -1])          // x2 = [[1], [1], [1/3], [-0.25]]\n   *\n   *    const a = [[-2, 3], [2, 1]]\n   *    const b = [11, 9]\n   *    const x = math.lusolve(a, b)  // [[2], [5]]\n   *\n   * See also:\n   *\n   *    lup, slu, lsolve, usolve\n   *\n   * @param {Matrix | Array | Object} A      Invertible Matrix or the Matrix LU decomposition\n   * @param {Matrix | Array} b               Column Vector\n   * @param {number} [order]                 The Symbolic Ordering and Analysis order, see slu for details. Matrix must be a SparseMatrix\n   * @param {Number} [threshold]             Partial pivoting threshold (1 for partial pivoting), see slu for details. Matrix must be a SparseMatrix.\n   *\n   * @return {DenseMatrix | Array}           Column vector with the solution to the linear system A * x = b\n   */\n\n  var lusolve = typed('lusolve', {\n    'Array, Array | Matrix': function ArrayArrayMatrix(a, b) {\n      // convert a to matrix\n      a = matrix(a); // matrix lup decomposition\n\n      var d = lup(a); // solve\n\n      var x = _lusolve(d.L, d.U, d.p, null, b); // convert result to array\n\n\n      return x.valueOf();\n    },\n    'DenseMatrix, Array | Matrix': function DenseMatrixArrayMatrix(a, b) {\n      // matrix lup decomposition\n      var d = lup(a); // solve\n\n      return _lusolve(d.L, d.U, d.p, null, b);\n    },\n    'SparseMatrix, Array | Matrix': function SparseMatrixArrayMatrix(a, b) {\n      // matrix lup decomposition\n      var d = lup(a); // solve\n\n      return _lusolve(d.L, d.U, d.p, null, b);\n    },\n    'SparseMatrix, Array | Matrix, number, number': function SparseMatrixArrayMatrixNumberNumber(a, b, order, threshold) {\n      // matrix lu decomposition\n      var d = slu(a, order, threshold); // solve\n\n      return _lusolve(d.L, d.U, d.p, d.q, b);\n    },\n    'Object, Array | Matrix': function ObjectArrayMatrix(d, b) {\n      // solve\n      return _lusolve(d.L, d.U, d.p, d.q, b);\n    }\n  });\n\n  var _toMatrix = function _toMatrix(a) {\n    // check it is a matrix\n    if (type.isMatrix(a)) {\n      return a;\n    } // check array\n\n\n    if (isArray(a)) {\n      return matrix(a);\n    } // throw\n\n\n    throw new TypeError('Invalid Matrix LU decomposition');\n  };\n\n  function _lusolve(l, u, p, q, b) {\n    // verify L, U, P\n    l = _toMatrix(l);\n    u = _toMatrix(u); // validate matrix and vector\n\n    b = solveValidation(l, b, false); // apply row permutations if needed (b is a DenseMatrix)\n\n    if (p) {\n      b._data = csIpvec(p, b._data);\n    } // use forward substitution to resolve L * y = b\n\n\n    var y = lsolve(l, b); // use backward substitution to resolve U * x = y\n\n    var x = usolve(u, y); // apply column permutations if needed (x is a DenseMatrix)\n\n    if (q) {\n      x._data = csIpvec(q, x._data);\n    } // return solution\n\n\n    return x;\n  }\n\n  return lusolve;\n}\n\nexports.name = 'lusolve';\nexports.factory = factory;","'use strict';\n\nfunction factory() {\n  /**\n   * Permutes a vector; x = P'b. In MATLAB notation, x(p)=b.\n   *\n   * @param {Array} p           The permutation vector of length n. null value denotes identity\n   * @param {Array} b           The input vector\n   *\n   * @return {Array}            The output vector x = P'b\n   */\n  function csIpvec(p, b) {\n    // vars\n    var k;\n    var n = b.length;\n    var x = []; // check permutation vector was provided, p = null denotes identity\n\n    if (p) {\n      // loop vector\n      for (k = 0; k < n; k++) {\n        // apply permutation\n        x[p[k]] = b[k];\n      }\n    } else {\n      // loop vector\n      for (k = 0; k < n; k++) {\n        // x[i] = b[i]\n        x[k] = b[k];\n      }\n    }\n\n    return x;\n  }\n\n  return csIpvec;\n}\n\nexports.name = 'csIpvec';\nexports.path = 'algebra.sparse';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./abs'), require('./add'), require('./addScalar'), require('./cbrt'), require('./ceil'), require('./cube'), require('./divide'), require('./dotDivide'), require('./dotMultiply'), require('./dotPow'), require('./exp'), require('./expm1'), require('./fix'), require('./floor'), require('./gcd'), require('./hypot'), require('./lcm'), require('./log'), require('./log10'), require('./log1p'), require('./log2'), require('./mod'), require('./multiply'), require('./norm'), require('./nthRoot'), require('./nthRoots'), require('./pow'), require('./round'), require('./sign'), require('./sqrt'), require('./square'), require('./subtract'), require('./unaryMinus'), require('./unaryPlus'), require('./xgcd')];","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var unaryMinus = load(require('./unaryMinus'));\n  var isNegative = load(require('../utils/isNegative'));\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Calculate the cubic root of a value.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.cbrt(x)\n   *    math.cbrt(x, allRoots)\n   *\n   * Examples:\n   *\n   *    math.cbrt(27)                  // returns 3\n   *    math.cube(3)                   // returns 27\n   *    math.cbrt(-64)                 // returns -4\n   *    math.cbrt(math.unit('27 m^3')) // returns Unit 3 m\n   *    math.cbrt([27, 64, 125])       // returns [3, 4, 5]\n   *\n   *    const x = math.complex('8i')\n   *    math.cbrt(x)                   // returns Complex 1.7320508075689 + i\n   *    math.cbrt(x, true)             // returns Matrix [\n   *                                    //    1.7320508075689 + i\n   *                                    //   -1.7320508075689 + i\n   *                                    //   -2i\n   *                                    // ]\n   *\n   * See also:\n   *\n   *    square, sqrt, cube\n   *\n   * @param {number | BigNumber | Complex | Unit | Array | Matrix} x\n   *            Value for which to calculate the cubic root.\n   * @param {boolean} [allRoots]  Optional, false by default. Only applicable\n   *            when `x` is a number or complex number. If true, all complex\n   *            roots are returned, if false (default) the principal root is\n   *            returned.\n   * @return {number | BigNumber | Complex | Unit | Array | Matrix}\n   *            Returns the cubic root of `x`\n   */\n\n  var cbrt = typed('cbrt', {\n    'number': _cbrtNumber,\n    // note: signature 'number, boolean' is also supported,\n    //       created by typed as it knows how to convert number to Complex\n    'Complex': _cbrtComplex,\n    'Complex, boolean': _cbrtComplex,\n    'BigNumber': function BigNumber(x) {\n      return x.cbrt();\n    },\n    'Unit': _cbrtUnit,\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since cbrt(0) = 0\n      return deepMap(x, cbrt, true);\n    }\n  });\n  /**\n   * Calculate the cubic root for a complex number\n   * @param {Complex} x\n   * @param {boolean} [allRoots]   If true, the function will return an array\n   *                               with all three roots. If false or undefined,\n   *                               the principal root is returned.\n   * @returns {Complex | Array.<Complex> | Matrix.<Complex>} Returns the cubic root(s) of x\n   * @private\n   */\n\n  function _cbrtComplex(x, allRoots) {\n    // https://www.wikiwand.com/en/Cube_root#/Complex_numbers\n    var arg3 = x.arg() / 3;\n    var abs = x.abs(); // principal root:\n\n    var principal = new type.Complex(_cbrtNumber(abs), 0).mul(new type.Complex(0, arg3).exp());\n\n    if (allRoots) {\n      var all = [principal, new type.Complex(_cbrtNumber(abs), 0).mul(new type.Complex(0, arg3 + Math.PI * 2 / 3).exp()), new type.Complex(_cbrtNumber(abs), 0).mul(new type.Complex(0, arg3 - Math.PI * 2 / 3).exp())];\n      return config.matrix === 'Array' ? all : matrix(all);\n    } else {\n      return principal;\n    }\n  }\n  /**\n   * Calculate the cubic root for a Unit\n   * @param {Unit} x\n   * @return {Unit} Returns the cubic root of x\n   * @private\n   */\n\n\n  function _cbrtUnit(x) {\n    if (x.value && type.isComplex(x.value)) {\n      var result = x.clone();\n      result.value = 1.0;\n      result = result.pow(1.0 / 3); // Compute the units\n\n      result.value = _cbrtComplex(x.value); // Compute the value\n\n      return result;\n    } else {\n      var negate = isNegative(x.value);\n\n      if (negate) {\n        x.value = unaryMinus(x.value);\n      } // TODO: create a helper function for this\n\n\n      var third;\n\n      if (type.isBigNumber(x.value)) {\n        third = new type.BigNumber(1).div(3);\n      } else if (type.isFraction(x.value)) {\n        third = new type.Fraction(1, 3);\n      } else {\n        third = 1 / 3;\n      }\n\n      var _result = x.pow(third);\n\n      if (negate) {\n        _result.value = unaryMinus(_result.value);\n      }\n\n      return _result;\n    }\n  }\n\n  cbrt.toTex = {\n    1: \"\\\\sqrt[3]{${args[0]}}\"\n  };\n  return cbrt;\n}\n/**\n * Calculate cbrt for a number\n *\n * Code from es6-shim.js:\n *   https://github.com/paulmillr/es6-shim/blob/master/es6-shim.js#L1564-L1577\n *\n * @param {number} x\n * @returns {number | Complex} Returns the cubic root of x\n * @private\n */\n\n\nvar _cbrtNumber = Math.cbrt || function (x) {\n  if (x === 0) {\n    return x;\n  }\n\n  var negate = x < 0;\n  var result;\n\n  if (negate) {\n    x = -x;\n  }\n\n  if (isFinite(x)) {\n    result = Math.exp(Math.log(x) / 3); // from http://en.wikipedia.org/wiki/Cube_root#Numerical_methods\n\n    result = (x / (result * result) + 2 * result) / 3;\n  } else {\n    result = x;\n  }\n\n  return negate ? -result : result;\n};\n\nexports.name = 'cbrt';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Round a value towards plus infinity\n   * If `x` is complex, both real and imaginary part are rounded towards plus infinity.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.ceil(x)\n   *\n   * Examples:\n   *\n   *    math.ceil(3.2)               // returns number 4\n   *    math.ceil(3.8)               // returns number 4\n   *    math.ceil(-4.2)              // returns number -4\n   *    math.ceil(-4.7)              // returns number -4\n   *\n   *    const c = math.complex(3.2, -2.7)\n   *    math.ceil(c)                 // returns Complex 4 - 2i\n   *\n   *    math.ceil([3.2, 3.8, -4.7])  // returns Array [4, 4, -4]\n   *\n   * See also:\n   *\n   *    floor, fix, round\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Array | Matrix} x  Number to be rounded\n   * @return {number | BigNumber | Fraction | Complex | Array | Matrix} Rounded value\n   */\n  var ceil = typed('ceil', {\n    'number': Math.ceil,\n    'Complex': function Complex(x) {\n      return x.ceil();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.ceil();\n    },\n    'Fraction': function Fraction(x) {\n      return x.ceil();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since ceil(0) = 0\n      return deepMap(x, ceil, true);\n    }\n  });\n  ceil.toTex = {\n    1: \"\\\\left\\\\lceil${args[0]}\\\\right\\\\rceil\"\n  };\n  return ceil;\n}\n\nexports.name = 'ceil';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Compute the cube of a value, `x * x * x`.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.cube(x)\n   *\n   * Examples:\n   *\n   *    math.cube(2)            // returns number 8\n   *    math.pow(2, 3)          // returns number 8\n   *    math.cube(4)            // returns number 64\n   *    4 * 4 * 4               // returns number 64\n   *\n   *    math.cube([1, 2, 3, 4]) // returns Array [1, 8, 27, 64]\n   *\n   * See also:\n   *\n   *    multiply, square, pow, cbrt\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Array | Matrix | Unit} x  Number for which to calculate the cube\n   * @return {number | BigNumber | Fraction | Complex | Array | Matrix | Unit} Cube of x\n   */\n  var cube = typed('cube', {\n    'number': function number(x) {\n      return x * x * x;\n    },\n    'Complex': function Complex(x) {\n      return x.mul(x).mul(x); // Is faster than pow(x, 3)\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.times(x).times(x);\n    },\n    'Fraction': function Fraction(x) {\n      return x.pow(3); // Is faster than mul()mul()mul()\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since cube(0) = 0\n      return deepMap(x, cube, true);\n    },\n    'Unit': function Unit(x) {\n      return x.pow(3);\n    }\n  });\n  cube.toTex = {\n    1: \"\\\\left(${args[0]}\\\\right)^3\"\n  };\n  return cube;\n}\n\nexports.name = 'cube';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var multiplyScalar = load(require('./multiplyScalar'));\n\n  var latex = require('../../utils/latex');\n\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm09 = load(require('../../type/matrix/utils/algorithm09'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Multiply two matrices element wise. The function accepts both matrices and\n   * scalar values.\n   *\n   * Syntax:\n   *\n   *    math.dotMultiply(x, y)\n   *\n   * Examples:\n   *\n   *    math.dotMultiply(2, 4) // returns 8\n   *\n   *    a = [[9, 5], [6, 1]]\n   *    b = [[3, 2], [5, 2]]\n   *\n   *    math.dotMultiply(a, b) // returns [[27, 10], [30, 2]]\n   *    math.multiply(a, b)    // returns [[52, 28], [23, 14]]\n   *\n   * See also:\n   *\n   *    multiply, divide, dotDivide\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x Left hand value\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} y Right hand value\n   * @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix}                    Multiplication of `x` and `y`\n   */\n\n  var dotMultiply = typed('dotMultiply', {\n    'any, any': multiplyScalar,\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm09(x, y, multiplyScalar, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm02(y, x, multiplyScalar, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm02(x, y, multiplyScalar, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, multiplyScalar);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return dotMultiply(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return dotMultiply(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return dotMultiply(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm11(x, y, multiplyScalar, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, multiplyScalar, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm11(y, x, multiplyScalar, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, multiplyScalar, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, multiplyScalar, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, multiplyScalar, true).valueOf();\n    }\n  });\n  dotMultiply.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['dotMultiply'], \"${args[1]}\\\\right)\")\n  };\n  return dotMultiply;\n}\n\nexports.name = 'dotMultiply';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var pow = load(require('./pow'));\n\n  var latex = require('../../utils/latex');\n\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm07 = load(require('../../type/matrix/utils/algorithm07'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Calculates the power of x to y element wise.\n   *\n   * Syntax:\n   *\n   *    math.dotPow(x, y)\n   *\n   * Examples:\n   *\n   *    math.dotPow(2, 3)            // returns number 8\n   *\n   *    const a = [[1, 2], [4, 3]]\n   *    math.dotPow(a, 2)            // returns Array [[1, 4], [16, 9]]\n   *    math.pow(a, 2)               // returns Array [[9, 8], [16, 17]]\n   *\n   * See also:\n   *\n   *    pow, sqrt, multiply\n   *\n   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} x  The base\n   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} y  The exponent\n   * @return {number | BigNumber | Complex | Unit | Array | Matrix}                     The value of `x` to the power `y`\n   */\n\n  var dotPow = typed('dotPow', {\n    'any, any': pow,\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm07(x, y, pow, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, pow, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, pow, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, pow);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return dotPow(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return dotPow(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return dotPow(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm11(x, y, dotPow, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, dotPow, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, dotPow, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, dotPow, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, dotPow, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, dotPow, true).valueOf();\n    }\n  });\n  dotPow.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['dotPow'], \"${args[1]}\\\\right)\")\n  };\n  return dotPow;\n}\n\nexports.name = 'dotPow';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the exponent of a value.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.exp(x)\n   *\n   * Examples:\n   *\n   *    math.exp(2)                  // returns number 7.3890560989306495\n   *    math.pow(math.e, 2)          // returns number 7.3890560989306495\n   *    math.log(math.exp(2))        // returns number 2\n   *\n   *    math.exp([1, 2, 3])\n   *    // returns Array [\n   *    //   2.718281828459045,\n   *    //   7.3890560989306495,\n   *    //   20.085536923187668\n   *    // ]\n   *\n   * See also:\n   *\n   *    expm1, log, pow\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x  A number or matrix to exponentiate\n   * @return {number | BigNumber | Complex | Array | Matrix} Exponent of `x`\n   */\n  var exp = typed('exp', {\n    'number': Math.exp,\n    'Complex': function Complex(x) {\n      return x.exp();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.exp();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // TODO: exp(sparse) should return a dense matrix since exp(0)==1\n      return deepMap(x, exp);\n    }\n  });\n  exp.toTex = {\n    1: \"\\\\exp\\\\left(${args[0]}\\\\right)\"\n  };\n  return exp;\n}\n\nexports.name = 'exp';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n  /**\n   * Calculate the value of subtracting 1 from the exponential value.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.expm1(x)\n   *\n   * Examples:\n   *\n   *    math.expm1(2)                      // returns number 6.38905609893065\n   *    math.pow(math.e, 2) - 1            // returns number 6.3890560989306495\n   *    math.log(math.expm1(2) + 1)        // returns number 2\n   *\n   *    math.expm1([1, 2, 3])\n   *    // returns Array [\n   *    //   1.718281828459045,\n   *    //   6.3890560989306495,\n   *    //   19.085536923187668\n   *    // ]\n   *\n   * See also:\n   *\n   *    exp, log, pow\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x  A number or matrix to apply expm1\n   * @return {number | BigNumber | Complex | Array | Matrix} Exponent of `x`\n   */\n\n\n  var expm1 = typed('expm1', {\n    'number': Math.expm1 || _expm1,\n    'Complex': function Complex(x) {\n      var r = Math.exp(x.re);\n      return new type.Complex(r * Math.cos(x.im) - 1, r * Math.sin(x.im));\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.exp().minus(1);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, expm1);\n    }\n  });\n  /**\n   * Calculates exponentiation minus 1.\n   * @param {number} x\n   * @return {number} res\n   * @private\n   */\n\n  function _expm1(x) {\n    return x >= 2e-4 || x <= -2e-4 ? Math.exp(x) - 1 : x + x * x / 2 + x * x * x / 6;\n  }\n\n  expm1.toTex = \"\\\\left(e\".concat(latex.operators['pow'], \"{${args[0]}}-1\\\\right)\");\n  return expm1;\n}\n\nexports.name = 'expm1';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Round a value towards minus infinity.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.floor(x)\n   *\n   * Examples:\n   *\n   *    math.floor(3.2)              // returns number 3\n   *    math.floor(3.8)              // returns number 3\n   *    math.floor(-4.2)             // returns number -5\n   *    math.floor(-4.7)             // returns number -5\n   *\n   *    const c = math.complex(3.2, -2.7)\n   *    math.floor(c)                // returns Complex 3 - 3i\n   *\n   *    math.floor([3.2, 3.8, -4.7]) // returns Array [3, 3, -5]\n   *\n   * See also:\n   *\n   *    ceil, fix, round\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Array | Matrix} x  Number to be rounded\n   * @return {number | BigNumber | Fraction | Complex | Array | Matrix} Rounded value\n   */\n  var floor = typed('floor', {\n    'number': Math.floor,\n    'Complex': function Complex(x) {\n      return x.floor();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.floor();\n    },\n    'Fraction': function Fraction(x) {\n      return x.floor();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since floor(0) = 0\n      return deepMap(x, floor, true);\n    }\n  });\n  floor.toTex = {\n    1: \"\\\\left\\\\lfloor${args[0]}\\\\right\\\\rfloor\"\n  };\n  return floor;\n}\n\nexports.name = 'floor';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm01 = load(require('../../type/matrix/utils/algorithm01'));\n  var algorithm04 = load(require('../../type/matrix/utils/algorithm04'));\n  var algorithm10 = load(require('../../type/matrix/utils/algorithm10'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Calculate the greatest common divisor for two or more values or arrays.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.gcd(a, b)\n   *    math.gcd(a, b, c, ...)\n   *\n   * Examples:\n   *\n   *    math.gcd(8, 12)              // returns 4\n   *    math.gcd(-4, 6)              // returns 2\n   *    math.gcd(25, 15, -10)        // returns 5\n   *\n   *    math.gcd([8, -4], [12, 6])   // returns [4, 2]\n   *\n   * See also:\n   *\n   *    lcm, xgcd\n   *\n   * @param {... number | BigNumber | Fraction | Array | Matrix} args  Two or more integer numbers\n   * @return {number | BigNumber | Fraction | Array | Matrix}                           The greatest common divisor\n   */\n\n  var gcd = typed('gcd', {\n    'number, number': _gcd,\n    'BigNumber, BigNumber': _gcdBigNumber,\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.gcd(y);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm04(x, y, gcd);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm01(y, x, gcd, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm01(x, y, gcd, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, gcd);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return gcd(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return gcd(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return gcd(x, matrix(y));\n    },\n    'SparseMatrix, number | BigNumber': function SparseMatrixNumberBigNumber(x, y) {\n      return algorithm10(x, y, gcd, false);\n    },\n    'DenseMatrix, number | BigNumber': function DenseMatrixNumberBigNumber(x, y) {\n      return algorithm14(x, y, gcd, false);\n    },\n    'number | BigNumber, SparseMatrix': function numberBigNumberSparseMatrix(x, y) {\n      return algorithm10(y, x, gcd, true);\n    },\n    'number | BigNumber, DenseMatrix': function numberBigNumberDenseMatrix(x, y) {\n      return algorithm14(y, x, gcd, true);\n    },\n    'Array, number | BigNumber': function ArrayNumberBigNumber(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, gcd, false).valueOf();\n    },\n    'number | BigNumber, Array': function numberBigNumberArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, gcd, true).valueOf();\n    },\n    // TODO: need a smarter notation here\n    'Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber': function ArrayMatrixNumberBigNumberArrayMatrixNumberBigNumberArrayMatrixNumberBigNumber(a, b, args) {\n      var res = gcd(a, b);\n\n      for (var i = 0; i < args.length; i++) {\n        res = gcd(res, args[i]);\n      }\n\n      return res;\n    }\n  });\n  gcd.toTex = \"\\\\gcd\\\\left(${args}\\\\right)\";\n  return gcd;\n  /**\n   * Calculate gcd for BigNumbers\n   * @param {BigNumber} a\n   * @param {BigNumber} b\n   * @returns {BigNumber} Returns greatest common denominator of a and b\n   * @private\n   */\n\n  function _gcdBigNumber(a, b) {\n    if (!a.isInt() || !b.isInt()) {\n      throw new Error('Parameters in function gcd must be integer numbers');\n    } // http://en.wikipedia.org/wiki/Euclidean_algorithm\n\n\n    var zero = new type.BigNumber(0);\n\n    while (!b.isZero()) {\n      var r = a.mod(b);\n      a = b;\n      b = r;\n    }\n\n    return a.lt(zero) ? a.neg() : a;\n  }\n}\n/**\n * Calculate gcd for numbers\n * @param {number} a\n * @param {number} b\n * @returns {number} Returns the greatest common denominator of a and b\n * @private\n */\n\n\nfunction _gcd(a, b) {\n  if (!isInteger(a) || !isInteger(b)) {\n    throw new Error('Parameters in function gcd must be integer numbers');\n  } // http://en.wikipedia.org/wiki/Euclidean_algorithm\n\n\n  var r;\n\n  while (b !== 0) {\n    r = a % b;\n    a = b;\n    b = r;\n  }\n\n  return a < 0 ? -a : a;\n}\n\nexports.name = 'gcd';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var abs = load(require('./abs'));\n  var add = load(require('./addScalar'));\n  var divide = load(require('./divideScalar'));\n  var multiply = load(require('./multiplyScalar'));\n  var sqrt = load(require('./sqrt'));\n  var smaller = load(require('../relational/smaller'));\n  var isPositive = load(require('../utils/isPositive'));\n  /**\n   * Calculate the hypotenusa of a list with values. The hypotenusa is defined as:\n   *\n   *     hypot(a, b, c, ...) = sqrt(a^2 + b^2 + c^2 + ...)\n   *\n   * For matrix input, the hypotenusa is calculated for all values in the matrix.\n   *\n   * Syntax:\n   *\n   *     math.hypot(a, b, ...)\n   *     math.hypot([a, b, c, ...])\n   *\n   * Examples:\n   *\n   *     math.hypot(3, 4)      // 5\n   *     math.hypot(3, 4, 5)   // 7.0710678118654755\n   *     math.hypot([3, 4, 5]) // 7.0710678118654755\n   *     math.hypot(-2)        // 2\n   *\n   * See also:\n   *\n   *     abs, norm\n   *\n   * @param {... number | BigNumber | Array | Matrix} args    A list with numeric values or an Array or Matrix.\n   *                                                          Matrix and Array input is flattened and returns a\n   *                                                          single number for the whole matrix.\n   * @return {number | BigNumber} Returns the hypothenusa of the input values.\n   */\n\n  var hypot = typed('hypot', {\n    '... number | BigNumber': _hypot,\n    'Array': function Array(x) {\n      return hypot.apply(hypot, flatten(x));\n    },\n    'Matrix': function Matrix(x) {\n      return hypot.apply(hypot, flatten(x.toArray()));\n    }\n  });\n  /**\n   * Calculate the hypotenusa for an Array with values\n   * @param {Array.<number | BigNumber>} args\n   * @return {number | BigNumber} Returns the result\n   * @private\n   */\n\n  function _hypot(args) {\n    // code based on `hypot` from es6-shim:\n    // https://github.com/paulmillr/es6-shim/blob/master/es6-shim.js#L1619-L1633\n    var result = 0;\n    var largest = 0;\n\n    for (var i = 0; i < args.length; i++) {\n      var value = abs(args[i]);\n\n      if (smaller(largest, value)) {\n        result = multiply(result, multiply(divide(largest, value), divide(largest, value)));\n        result = add(result, 1);\n        largest = value;\n      } else {\n        result = add(result, isPositive(value) ? multiply(divide(value, largest), divide(value, largest)) : value);\n      }\n    }\n\n    return multiply(largest, sqrt(result));\n  }\n\n  hypot.toTex = \"\\\\hypot\\\\left(${args}\\\\right)\";\n  return hypot;\n}\n\nexports.name = 'hypot';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm06 = load(require('../../type/matrix/utils/algorithm06'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Calculate the least common multiple for two or more values or arrays.\n   *\n   * lcm is defined as:\n   *\n   *     lcm(a, b) = abs(a * b) / gcd(a, b)\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.lcm(a, b)\n   *    math.lcm(a, b, c, ...)\n   *\n   * Examples:\n   *\n   *    math.lcm(4, 6)               // returns 12\n   *    math.lcm(6, 21)              // returns 42\n   *    math.lcm(6, 21, 5)           // returns 210\n   *\n   *    math.lcm([4, 6], [6, 21])    // returns [12, 42]\n   *\n   * See also:\n   *\n   *    gcd, xgcd\n   *\n   * @param {... number | BigNumber | Array | Matrix} args  Two or more integer numbers\n   * @return {number | BigNumber | Array | Matrix}                           The least common multiple\n   */\n\n  var lcm = typed('lcm', {\n    'number, number': _lcm,\n    'BigNumber, BigNumber': _lcmBigNumber,\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.lcm(y);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm06(x, y, lcm);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm02(y, x, lcm, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm02(x, y, lcm, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, lcm);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return lcm(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return lcm(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return lcm(x, matrix(y));\n    },\n    'SparseMatrix, number | BigNumber': function SparseMatrixNumberBigNumber(x, y) {\n      return algorithm11(x, y, lcm, false);\n    },\n    'DenseMatrix, number | BigNumber': function DenseMatrixNumberBigNumber(x, y) {\n      return algorithm14(x, y, lcm, false);\n    },\n    'number | BigNumber, SparseMatrix': function numberBigNumberSparseMatrix(x, y) {\n      return algorithm11(y, x, lcm, true);\n    },\n    'number | BigNumber, DenseMatrix': function numberBigNumberDenseMatrix(x, y) {\n      return algorithm14(y, x, lcm, true);\n    },\n    'Array, number | BigNumber': function ArrayNumberBigNumber(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, lcm, false).valueOf();\n    },\n    'number | BigNumber, Array': function numberBigNumberArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, lcm, true).valueOf();\n    },\n    // TODO: need a smarter notation here\n    'Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber': function ArrayMatrixNumberBigNumberArrayMatrixNumberBigNumberArrayMatrixNumberBigNumber(a, b, args) {\n      var res = lcm(a, b);\n\n      for (var i = 0; i < args.length; i++) {\n        res = lcm(res, args[i]);\n      }\n\n      return res;\n    }\n  });\n  lcm.toTex = undefined; // use default template\n\n  return lcm;\n  /**\n   * Calculate lcm for two BigNumbers\n   * @param {BigNumber} a\n   * @param {BigNumber} b\n   * @returns {BigNumber} Returns the least common multiple of a and b\n   * @private\n   */\n\n  function _lcmBigNumber(a, b) {\n    if (!a.isInt() || !b.isInt()) {\n      throw new Error('Parameters in function lcm must be integer numbers');\n    }\n\n    if (a.isZero() || b.isZero()) {\n      return new type.BigNumber(0);\n    } // http://en.wikipedia.org/wiki/Euclidean_algorithm\n    // evaluate lcm here inline to reduce overhead\n\n\n    var prod = a.times(b);\n\n    while (!b.isZero()) {\n      var t = b;\n      b = a.mod(t);\n      a = t;\n    }\n\n    return prod.div(a).abs();\n  }\n}\n/**\n * Calculate lcm for two numbers\n * @param {number} a\n * @param {number} b\n * @returns {number} Returns the least common multiple of a and b\n * @private\n */\n\n\nfunction _lcm(a, b) {\n  if (!isInteger(a) || !isInteger(b)) {\n    throw new Error('Parameters in function lcm must be integer numbers');\n  }\n\n  if (a === 0 || b === 0) {\n    return 0;\n  } // http://en.wikipedia.org/wiki/Euclidean_algorithm\n  // evaluate lcm here inline to reduce overhead\n\n\n  var t;\n  var prod = a * b;\n\n  while (b !== 0) {\n    t = b;\n    b = a % t;\n    a = t;\n  }\n\n  return Math.abs(prod / a);\n}\n\nexports.name = 'lcm';\nexports.factory = factory;","'use strict';\n\nmodule.exports = function scatter(a, j, w, x, u, mark, c, f, inverse, update, value) {\n  // a arrays\n  var avalues = a._values;\n  var aindex = a._index;\n  var aptr = a._ptr; // c arrays\n\n  var cindex = c._index; // vars\n\n  var k, k0, k1, i; // check we need to process values (pattern matrix)\n\n  if (x) {\n    // values in j\n    for (k0 = aptr[j], k1 = aptr[j + 1], k = k0; k < k1; k++) {\n      // row\n      i = aindex[k]; // check value exists in current j\n\n      if (w[i] !== mark) {\n        // i is new entry in j\n        w[i] = mark; // add i to pattern of C\n\n        cindex.push(i); // x(i) = A, check we need to call function this time\n\n        if (update) {\n          // copy value to workspace calling callback function\n          x[i] = inverse ? f(avalues[k], value) : f(value, avalues[k]); // function was called on current row\n\n          u[i] = mark;\n        } else {\n          // copy value to workspace\n          x[i] = avalues[k];\n        }\n      } else {\n        // i exists in C already\n        x[i] = inverse ? f(avalues[k], x[i]) : f(x[i], avalues[k]); // function was called on current row\n\n        u[i] = mark;\n      }\n    }\n  } else {\n    // values in j\n    for (k0 = aptr[j], k1 = aptr[j + 1], k = k0; k < k1; k++) {\n      // row\n      i = aindex[k]; // check value exists in current j\n\n      if (w[i] !== mark) {\n        // i is new entry in j\n        w[i] = mark; // add i to pattern of C\n\n        cindex.push(i);\n      } else {\n        // indicate function was called on current row\n        u[i] = mark;\n      }\n    }\n  }\n};","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the 10-base logarithm of a value. This is the same as calculating `log(x, 10)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.log10(x)\n   *\n   * Examples:\n   *\n   *    math.log10(0.00001)            // returns -5\n   *    math.log10(10000)              // returns 4\n   *    math.log(10000) / math.log(10) // returns 4\n   *    math.pow(10, 4)                // returns 10000\n   *\n   * See also:\n   *\n   *    exp, log, log1p, log2\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x\n   *            Value for which to calculate the logarithm.\n   * @return {number | BigNumber | Complex | Array | Matrix}\n   *            Returns the 10-base logarithm of `x`\n   */\n  var log10 = typed('log10', {\n    'number': function number(x) {\n      if (x >= 0 || config.predictable) {\n        return _log10(x);\n      } else {\n        // negative value -> complex value computation\n        return new type.Complex(x, 0).log().div(Math.LN10);\n      }\n    },\n    'Complex': function Complex(x) {\n      return new type.Complex(x).log().div(Math.LN10);\n    },\n    'BigNumber': function BigNumber(x) {\n      if (!x.isNegative() || config.predictable) {\n        return x.log();\n      } else {\n        // downgrade to number, return Complex valued result\n        return new type.Complex(x.toNumber(), 0).log().div(Math.LN10);\n      }\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, log10);\n    }\n  });\n  log10.toTex = {\n    1: \"\\\\log_{10}\\\\left(${args[0]}\\\\right)\"\n  };\n  return log10;\n}\n/**\n * Calculate the 10-base logarithm of a number\n * @param {number} x\n * @return {number}\n * @private\n */\n\n\nvar _log10 = Math.log10 || function (x) {\n  return Math.log(x) / Math.LN10;\n};\n\nexports.name = 'log10';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var divideScalar = load(require('./divideScalar'));\n  var log = load(require('./log'));\n  /**\n   * Calculate the logarithm of a `value+1`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.log1p(x)\n   *    math.log1p(x, base)\n   *\n   * Examples:\n   *\n   *    math.log1p(2.5)                 // returns 1.252762968495368\n   *    math.exp(math.log1p(1.4))       // returns 2.4\n   *\n   *    math.pow(10, 4)                 // returns 10000\n   *    math.log1p(9999, 10)            // returns 4\n   *    math.log1p(9999) / math.log(10) // returns 4\n   *\n   * See also:\n   *\n   *    exp, log, log2, log10\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x\n   *            Value for which to calculate the logarithm of `x+1`.\n   * @param {number | BigNumber | Complex} [base=e]\n   *            Optional base for the logarithm. If not provided, the natural\n   *            logarithm of `x+1` is calculated.\n   * @return {number | BigNumber | Complex | Array | Matrix}\n   *            Returns the logarithm of `x+1`\n   */\n\n  var log1p = typed('log1p', {\n    'number': _log1pNumber,\n    'Complex': _log1pComplex,\n    'BigNumber': function BigNumber(x) {\n      var y = x.plus(1);\n\n      if (!y.isNegative() || config.predictable) {\n        return y.ln();\n      } else {\n        // downgrade to number, return Complex valued result\n        return _log1pComplex(new type.Complex(x.toNumber(), 0));\n      }\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, log1p);\n    },\n    'any, any': function anyAny(x, base) {\n      // calculate logarithm for a specified base, log1p(x, base)\n      return divideScalar(log1p(x), log(base));\n    }\n  });\n  /**\n   * Calculate the natural logarithm of a `number+1`\n   * @param {number} x\n   * @returns {number | Complex}\n   * @private\n   */\n\n  function _log1pNumber(x) {\n    if (x >= -1 || config.predictable) {\n      return Math.log1p ? Math.log1p(x) : Math.log(x + 1);\n    } else {\n      // negative value -> complex value computation\n      return _log1pComplex(new type.Complex(x, 0));\n    }\n  }\n  /**\n   * Calculate the natural logarithm of a complex number + 1\n   * @param {Complex} x\n   * @returns {Complex}\n   * @private\n   */\n\n\n  function _log1pComplex(x) {\n    var xRe1p = x.re + 1;\n    return new type.Complex(Math.log(Math.sqrt(xRe1p * xRe1p + x.im * x.im)), Math.atan2(x.im, xRe1p));\n  }\n\n  log1p.toTex = {\n    1: \"\\\\ln\\\\left(${args[0]}+1\\\\right)\",\n    2: \"\\\\log_{${args[1]}}\\\\left(${args[0]}+1\\\\right)\"\n  };\n  return log1p;\n}\n\nexports.name = 'log1p';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.log2(x)\n   *\n   * Examples:\n   *\n   *    math.log2(0.03125)           // returns -5\n   *    math.log2(16)                // returns 4\n   *    math.log2(16) / math.log2(2) // returns 4\n   *    math.pow(2, 4)               // returns 16\n   *\n   * See also:\n   *\n   *    exp, log, log1p, log10\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x\n   *            Value for which to calculate the logarithm.\n   * @return {number | BigNumber | Complex | Array | Matrix}\n   *            Returns the 2-base logarithm of `x`\n   */\n  var log2 = typed('log2', {\n    'number': function number(x) {\n      if (x >= 0 || config.predictable) {\n        return Math.log2 ? Math.log2(x) : Math.log(x) / Math.LN2;\n      } else {\n        // negative value -> complex value computation\n        return _log2Complex(new type.Complex(x, 0));\n      }\n    },\n    'Complex': _log2Complex,\n    'BigNumber': function BigNumber(x) {\n      if (!x.isNegative() || config.predictable) {\n        return x.log(2);\n      } else {\n        // downgrade to number, return Complex valued result\n        return _log2Complex(new type.Complex(x.toNumber(), 0));\n      }\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, log2);\n    }\n  });\n  /**\n   * Calculate log2 for a complex value\n   * @param {Complex} x\n   * @returns {Complex}\n   * @private\n   */\n\n  function _log2Complex(x) {\n    var newX = Math.sqrt(x.re * x.re + x.im * x.im);\n    return new type.Complex(Math.log2 ? Math.log2(newX) : Math.log(newX) / Math.LN2, Math.atan2(x.im, x.re) / Math.LN2);\n  }\n\n  log2.toTex = \"\\\\log_{2}\\\\left(${args[0]}\\\\right)\";\n  return log2;\n}\n\nexports.name = 'log2';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n\n  var latex = require('../../utils/latex');\n\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm05 = load(require('../../type/matrix/utils/algorithm05'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Calculates the modulus, the remainder of an integer division.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * The modulus is defined as:\n   *\n   *     x - y * floor(x / y)\n   *\n   * See http://en.wikipedia.org/wiki/Modulo_operation.\n   *\n   * Syntax:\n   *\n   *    math.mod(x, y)\n   *\n   * Examples:\n   *\n   *    math.mod(8, 3)                // returns 2\n   *    math.mod(11, 2)               // returns 1\n   *\n   *    function isOdd(x) {\n   *      return math.mod(x, 2) != 0\n   *    }\n   *\n   *    isOdd(2)                      // returns false\n   *    isOdd(3)                      // returns true\n   *\n   * See also:\n   *\n   *    divide\n   *\n   * @param  {number | BigNumber | Fraction | Array | Matrix} x Dividend\n   * @param  {number | BigNumber | Fraction | Array | Matrix} y Divisor\n   * @return {number | BigNumber | Fraction | Array | Matrix} Returns the remainder of `x` divided by `y`.\n   */\n\n  var mod = typed('mod', {\n    'number, number': _mod,\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return y.isZero() ? x : x.mod(y);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.mod(y);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm05(x, y, mod, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm02(y, x, mod, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, mod, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, mod);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return mod(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return mod(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return mod(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm11(x, y, mod, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, mod, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, mod, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, mod, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, mod, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, mod, true).valueOf();\n    }\n  });\n  mod.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['mod'], \"${args[1]}\\\\right)\")\n  };\n  return mod;\n  /**\n   * Calculate the modulus of two numbers\n   * @param {number} x\n   * @param {number} y\n   * @returns {number} res\n   * @private\n   */\n\n  function _mod(x, y) {\n    if (y > 0) {\n      // We don't use JavaScript's % operator here as this doesn't work\n      // correctly for x < 0 and x === 0\n      // see http://en.wikipedia.org/wiki/Modulo_operation\n      return x - y * Math.floor(x / y);\n    } else if (y === 0) {\n      return x;\n    } else {\n      // y < 0\n      // TODO: implement mod for a negative divisor\n      throw new Error('Cannot calculate mod for a negative divisor');\n    }\n  }\n}\n\nexports.name = 'mod';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var abs = load(require('../arithmetic/abs'));\n  var add = load(require('../arithmetic/add'));\n  var pow = load(require('../arithmetic/pow'));\n  var conj = load(require('../complex/conj'));\n  var sqrt = load(require('../arithmetic/sqrt'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var equalScalar = load(require('../relational/equalScalar'));\n  var larger = load(require('../relational/larger'));\n  var smaller = load(require('../relational/smaller'));\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Calculate the norm of a number, vector or matrix.\n   *\n   * The second parameter p is optional. If not provided, it defaults to 2.\n   *\n   * Syntax:\n   *\n   *    math.norm(x)\n   *    math.norm(x, p)\n   *\n   * Examples:\n   *\n   *    math.abs(-3.5)                         // returns 3.5\n   *    math.norm(-3.5)                        // returns 3.5\n   *\n   *    math.norm(math.complex(3, -4))         // returns 5\n   *\n   *    math.norm([1, 2, -3], Infinity)        // returns 3\n   *    math.norm([1, 2, -3], -Infinity)       // returns 1\n   *\n   *    math.norm([3, 4], 2)                   // returns 5\n   *\n   *    math.norm([[1, 2], [3, 4]], 1)          // returns 6\n   *    math.norm([[1, 2], [3, 4]], 'inf')     // returns 7\n   *    math.norm([[1, 2], [3, 4]], 'fro')     // returns 5.477225575051661\n   *\n   * See also:\n   *\n   *    abs, hypot\n   *\n   * @param  {number | BigNumber | Complex | Array | Matrix} x\n   *            Value for which to calculate the norm\n   * @param  {number | BigNumber | string} [p=2]\n   *            Vector space.\n   *            Supported numbers include Infinity and -Infinity.\n   *            Supported strings are: 'inf', '-inf', and 'fro' (The Frobenius norm)\n   * @return {number | BigNumber} the p-norm\n   */\n\n  var norm = typed('norm', {\n    'number': Math.abs,\n    'Complex': function Complex(x) {\n      return x.abs();\n    },\n    'BigNumber': function BigNumber(x) {\n      // norm(x) = abs(x)\n      return x.abs();\n    },\n    'boolean': function boolean(x) {\n      // norm(x) = abs(x)\n      return Math.abs(x);\n    },\n    'Array': function Array(x) {\n      return _norm(matrix(x), 2);\n    },\n    'Matrix': function Matrix(x) {\n      return _norm(x, 2);\n    },\n    'number | Complex | BigNumber | boolean, number | BigNumber | string': function numberComplexBigNumberBooleanNumberBigNumberString(x) {\n      // ignore second parameter, TODO: remove the option of second parameter for these types\n      return norm(x);\n    },\n    'Array, number | BigNumber | string': function ArrayNumberBigNumberString(x, p) {\n      return _norm(matrix(x), p);\n    },\n    'Matrix, number | BigNumber | string': function MatrixNumberBigNumberString(x, p) {\n      return _norm(x, p);\n    }\n  });\n  /**\n   * Calculate the norm for an array\n   * @param {Matrix} x\n   * @param {number | string} p\n   * @returns {number} Returns the norm\n   * @private\n   */\n\n  function _norm(x, p) {\n    // size\n    var sizeX = x.size(); // check if it is a vector\n\n    if (sizeX.length === 1) {\n      // check p\n      if (p === Number.POSITIVE_INFINITY || p === 'inf') {\n        // norm(x, Infinity) = max(abs(x))\n        var pinf = 0; // skip zeros since abs(0) === 0\n\n        x.forEach(function (value) {\n          var v = abs(value);\n\n          if (larger(v, pinf)) {\n            pinf = v;\n          }\n        }, true);\n        return pinf;\n      }\n\n      if (p === Number.NEGATIVE_INFINITY || p === '-inf') {\n        // norm(x, -Infinity) = min(abs(x))\n        var ninf; // skip zeros since abs(0) === 0\n\n        x.forEach(function (value) {\n          var v = abs(value);\n\n          if (!ninf || smaller(v, ninf)) {\n            ninf = v;\n          }\n        }, true);\n        return ninf || 0;\n      }\n\n      if (p === 'fro') {\n        return _norm(x, 2);\n      }\n\n      if (typeof p === 'number' && !isNaN(p)) {\n        // check p != 0\n        if (!equalScalar(p, 0)) {\n          // norm(x, p) = sum(abs(xi) ^ p) ^ 1/p\n          var n = 0; // skip zeros since abs(0) === 0\n\n          x.forEach(function (value) {\n            n = add(pow(abs(value), p), n);\n          }, true);\n          return pow(n, 1 / p);\n        }\n\n        return Number.POSITIVE_INFINITY;\n      } // invalid parameter value\n\n\n      throw new Error('Unsupported parameter value');\n    } // MxN matrix\n\n\n    if (sizeX.length === 2) {\n      // check p\n      if (p === 1) {\n        // norm(x) = the largest column sum\n        var c = []; // result\n\n        var maxc = 0; // skip zeros since abs(0) == 0\n\n        x.forEach(function (value, index) {\n          var j = index[1];\n          var cj = add(c[j] || 0, abs(value));\n\n          if (larger(cj, maxc)) {\n            maxc = cj;\n          }\n\n          c[j] = cj;\n        }, true);\n        return maxc;\n      }\n\n      if (p === Number.POSITIVE_INFINITY || p === 'inf') {\n        // norm(x) = the largest row sum\n        var r = []; // result\n\n        var maxr = 0; // skip zeros since abs(0) == 0\n\n        x.forEach(function (value, index) {\n          var i = index[0];\n          var ri = add(r[i] || 0, abs(value));\n\n          if (larger(ri, maxr)) {\n            maxr = ri;\n          }\n\n          r[i] = ri;\n        }, true);\n        return maxr;\n      }\n\n      if (p === 'fro') {\n        // norm(x) = sqrt(sum(diag(x'x)))\n        var fro = 0;\n        x.forEach(function (value, index) {\n          fro = add(fro, multiply(value, conj(value)));\n        });\n        return abs(sqrt(fro));\n      }\n\n      if (p === 2) {\n        // not implemented\n        throw new Error('Unsupported parameter value, missing implementation of matrix singular value decomposition');\n      } // invalid parameter value\n\n\n      throw new Error('Unsupported parameter value');\n    }\n  }\n\n  norm.toTex = {\n    1: \"\\\\left\\\\|${args[0]}\\\\right\\\\|\",\n    2: undefined // use default template\n\n  };\n  return norm;\n}\n\nexports.name = 'norm';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm01 = load(require('../../type/matrix/utils/algorithm01'));\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm06 = load(require('../../type/matrix/utils/algorithm06'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Calculate the nth root of a value.\n   * The principal nth root of a positive real number A, is the positive real\n   * solution of the equation\n   *\n   *     x^root = A\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *     math.nthRoot(a)\n   *     math.nthRoot(a, root)\n   *\n   * Examples:\n   *\n   *     math.nthRoot(9, 2)    // returns 3, as 3^2 == 9\n   *     math.sqrt(9)          // returns 3, as 3^2 == 9\n   *     math.nthRoot(64, 3)   // returns 4, as 4^3 == 64\n   *\n   * See also:\n   *\n   *     sqrt, pow\n   *\n   * @param {number | BigNumber | Array | Matrix | Complex} a\n   *              Value for which to calculate the nth root\n   * @param {number | BigNumber} [root=2]    The root.\n   * @return {number | Complex | Array | Matrix} Returns the nth root of `a`\n   */\n\n  var complexErr = '' + 'Complex number not supported in function nthRoot. ' + 'Use nthRoots instead.';\n  var nthRoot = typed('nthRoot', {\n    'number': function number(x) {\n      return _nthRoot(x, 2);\n    },\n    'number, number': _nthRoot,\n    'BigNumber': function BigNumber(x) {\n      return _bigNthRoot(x, new type.BigNumber(2));\n    },\n    'Complex': function Complex(x) {\n      throw new Error(complexErr);\n    },\n    'Complex, number': function ComplexNumber(x, y) {\n      throw new Error(complexErr);\n    },\n    'BigNumber, BigNumber': _bigNthRoot,\n    'Array | Matrix': function ArrayMatrix(x) {\n      return nthRoot(x, 2);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      // density must be one (no zeros in matrix)\n      if (y.density() === 1) {\n        // sparse + sparse\n        return algorithm06(x, y, nthRoot);\n      } else {\n        // throw exception\n        throw new Error('Root must be non-zero');\n      }\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm02(y, x, nthRoot, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      // density must be one (no zeros in matrix)\n      if (y.density() === 1) {\n        // dense + sparse\n        return algorithm01(x, y, nthRoot, false);\n      } else {\n        // throw exception\n        throw new Error('Root must be non-zero');\n      }\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, nthRoot);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return nthRoot(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return nthRoot(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return nthRoot(x, matrix(y));\n    },\n    'SparseMatrix, number | BigNumber': function SparseMatrixNumberBigNumber(x, y) {\n      return algorithm11(x, y, nthRoot, false);\n    },\n    'DenseMatrix, number | BigNumber': function DenseMatrixNumberBigNumber(x, y) {\n      return algorithm14(x, y, nthRoot, false);\n    },\n    'number | BigNumber, SparseMatrix': function numberBigNumberSparseMatrix(x, y) {\n      // density must be one (no zeros in matrix)\n      if (y.density() === 1) {\n        // sparse - scalar\n        return algorithm11(y, x, nthRoot, true);\n      } else {\n        // throw exception\n        throw new Error('Root must be non-zero');\n      }\n    },\n    'number | BigNumber, DenseMatrix': function numberBigNumberDenseMatrix(x, y) {\n      return algorithm14(y, x, nthRoot, true);\n    },\n    'Array, number | BigNumber': function ArrayNumberBigNumber(x, y) {\n      // use matrix implementation\n      return nthRoot(matrix(x), y).valueOf();\n    },\n    'number | BigNumber, Array': function numberBigNumberArray(x, y) {\n      // use matrix implementation\n      return nthRoot(x, matrix(y)).valueOf();\n    }\n  });\n  nthRoot.toTex = {\n    2: \"\\\\sqrt[${args[1]}]{${args[0]}}\"\n  };\n  return nthRoot;\n  /**\n   * Calculate the nth root of a for BigNumbers, solve x^root == a\n   * http://rosettacode.org/wiki/Nth_root#JavaScript\n   * @param {BigNumber} a\n   * @param {BigNumber} root\n   * @private\n   */\n\n  function _bigNthRoot(a, root) {\n    var precision = type.BigNumber.precision;\n    var Big = type.BigNumber.clone({\n      precision: precision + 2\n    });\n    var zero = new type.BigNumber(0);\n    var one = new Big(1);\n    var inv = root.isNegative();\n\n    if (inv) {\n      root = root.neg();\n    }\n\n    if (root.isZero()) {\n      throw new Error('Root must be non-zero');\n    }\n\n    if (a.isNegative() && !root.abs().mod(2).equals(1)) {\n      throw new Error('Root must be odd when a is negative.');\n    } // edge cases zero and infinity\n\n\n    if (a.isZero()) {\n      return inv ? new Big(Infinity) : 0;\n    }\n\n    if (!a.isFinite()) {\n      return inv ? zero : a;\n    }\n\n    var x = a.abs().pow(one.div(root)); // If a < 0, we require that root is an odd integer,\n    // so (-1) ^ (1/root) = -1\n\n    x = a.isNeg() ? x.neg() : x;\n    return new type.BigNumber((inv ? one.div(x) : x).toPrecision(precision));\n  }\n}\n/**\n * Calculate the nth root of a, solve x^root == a\n * http://rosettacode.org/wiki/Nth_root#JavaScript\n * @param {number} a\n * @param {number} root\n * @private\n */\n\n\nfunction _nthRoot(a, root) {\n  var inv = root < 0;\n\n  if (inv) {\n    root = -root;\n  }\n\n  if (root === 0) {\n    throw new Error('Root must be non-zero');\n  }\n\n  if (a < 0 && Math.abs(root) % 2 !== 1) {\n    throw new Error('Root must be odd when a is negative.');\n  } // edge cases zero and infinity\n\n\n  if (a === 0) {\n    return inv ? Infinity : 0;\n  }\n\n  if (!isFinite(a)) {\n    return inv ? 0 : a;\n  }\n\n  var x = Math.pow(Math.abs(a), 1 / root); // If a < 0, we require that root is an odd integer,\n  // so (-1) ^ (1/root) = -1\n\n  x = a < 0 ? -x : x;\n  return inv ? 1 / x : x; // Very nice algorithm, but fails with nthRoot(-2, 3).\n  // Newton's method has some well-known problems at times:\n  // https://en.wikipedia.org/wiki/Newton%27s_method#Failure_analysis\n\n  /*\n  let x = 1 // Initial guess\n  let xPrev = 1\n  let i = 0\n  const iMax = 10000\n  do {\n    const delta = (a / Math.pow(x, root - 1) - x) / root\n    xPrev = x\n    x = x + delta\n    i++\n  }\n  while (xPrev !== x && i < iMax)\n   if (xPrev !== x) {\n    throw new Error('Function nthRoot failed to converge')\n  }\n   return inv ? 1 / x : x\n  */\n}\n\nexports.name = 'nthRoot';\nexports.factory = factory;","'use strict';\n\nvar Complex = require('../../type/complex/Complex');\n\nvar typed = require('../../core/typed');\n\nvar complex = Complex.factory('Complex', {}, '', typed, {\n  on: function on(x, y) {}\n});\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the nth roots of a value.\n   * An nth root of a positive real number A,\n   * is a positive real solution of the equation \"x^root = A\".\n   * This function returns an array of complex values.\n   *\n   * Syntax:\n   *\n   *    math.nthRoots(x)\n   *    math.nthRoots(x, root)\n   *\n   * Examples:\n   *\n   *    math.nthRoots(1)\n   *    // returns [\n   *    //   {re: 1, im: 0},\n   *    //   {re: -1, im: 0}\n   *    // ]\n   *    nthRoots(1, 3)\n   *    // returns [\n   *    //   { re: 1, im: 0 },\n   *    //   { re: -0.4999999999999998, im: 0.8660254037844387 },\n   *    //   { re: -0.5000000000000004, im: -0.8660254037844385 }\n   *    ]\n   *\n   * See also:\n   *\n   *    nthRoot, pow, sqrt\n   *\n   * @param {number | BigNumber | Fraction | Complex | Array | Matrix} x Number to be rounded\n   * @return {number | BigNumber | Fraction | Complex | Array | Matrix}            Rounded value\n   */\n  var nthRoots = typed('nthRoots', {\n    'Complex': function Complex(x) {\n      return _nthComplexRoots(x, 2);\n    },\n    'Complex, number': _nthComplexRoots\n  });\n  nthRoots.toTex = {\n    2: \"\\\\{y : $y^{args[1]} = {${args[0]}}\\\\}\"\n  };\n  return nthRoots;\n}\n/**\n * Each function here returns a real multiple of i as a Complex value.\n * @param  {number} val\n * @return {Complex} val, i*val, -val or -i*val for index 0, 1, 2, 3\n */\n// This is used to fix float artifacts for zero-valued components.\n\n\nvar _calculateExactResult = [function realPos(val) {\n  return complex(val);\n}, function imagPos(val) {\n  return complex(0, val);\n}, function realNeg(val) {\n  return complex(-val);\n}, function imagNeg(val) {\n  return complex(0, -val);\n}];\n/**\n * Calculate the nth root of a Complex Number a using De Movire's Theorem.\n * @param  {Complex} a\n * @param  {number} root\n * @return {Array} array of n Complex Roots\n */\n\nfunction _nthComplexRoots(a, root) {\n  if (root < 0) throw new Error('Root must be greater than zero');\n  if (root === 0) throw new Error('Root must be non-zero');\n  if (root % 1 !== 0) throw new Error('Root must be an integer');\n  if (a === 0 || a.abs() === 0) return [complex(0)];\n  var aIsNumeric = typeof a === 'number';\n  var offset; // determine the offset (argument of a)/(pi/2)\n\n  if (aIsNumeric || a.re === 0 || a.im === 0) {\n    if (aIsNumeric) {\n      offset = 2 * +(a < 0); // numeric value on the real axis\n    } else if (a.im === 0) {\n      offset = 2 * +(a.re < 0); // complex value on the real axis\n    } else {\n      offset = 2 * +(a.im < 0) + 1; // complex value on the imaginary axis\n    }\n  }\n\n  var arg = a.arg();\n  var abs = a.abs();\n  var roots = [];\n  var r = Math.pow(abs, 1 / root);\n\n  for (var k = 0; k < root; k++) {\n    var halfPiFactor = (offset + 4 * k) / root;\n    /**\n     * If (offset + 4*k)/root is an integral multiple of pi/2\n     * then we can produce a more exact result.\n     */\n\n    if (halfPiFactor === Math.round(halfPiFactor)) {\n      roots.push(_calculateExactResult[halfPiFactor % 4](r));\n      continue;\n    }\n\n    roots.push(complex({\n      r: r,\n      phi: (arg + 2 * Math.PI * k) / root\n    }));\n  }\n\n  return roots;\n}\n\nexports.name = 'nthRoots';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Compute the square of a value, `x * x`.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.square(x)\n   *\n   * Examples:\n   *\n   *    math.square(2)           // returns number 4\n   *    math.square(3)           // returns number 9\n   *    math.pow(3, 2)           // returns number 9\n   *    math.multiply(3, 3)      // returns number 9\n   *\n   *    math.square([1, 2, 3, 4])  // returns Array [1, 4, 9, 16]\n   *\n   * See also:\n   *\n   *    multiply, cube, sqrt, pow\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Array | Matrix | Unit} x\n   *            Number for which to calculate the square\n   * @return {number | BigNumber | Fraction | Complex | Array | Matrix | Unit}\n   *            Squared value\n   */\n  var square = typed('square', {\n    'number': function number(x) {\n      return x * x;\n    },\n    'Complex': function Complex(x) {\n      return x.mul(x);\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.times(x);\n    },\n    'Fraction': function Fraction(x) {\n      return x.mul(x);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since square(0) = 0\n      return deepMap(x, square, true);\n    },\n    'Unit': function Unit(x) {\n      return x.pow(2);\n    }\n  });\n  square.toTex = {\n    1: \"\\\\left(${args[0]}\\\\right)^2\"\n  };\n  return square;\n}\n\nexports.name = 'square';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n  /**\n   * Unary plus operation.\n   * Boolean values and strings will be converted to a number, numeric values will be returned as is.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.unaryPlus(x)\n   *\n   * Examples:\n   *\n   *    math.unaryPlus(3.5)      // returns 3.5\n   *    math.unaryPlus(1)     // returns 1\n   *\n   * See also:\n   *\n   *    unaryMinus, add, subtract\n   *\n   * @param  {number | BigNumber | Fraction | string | Complex | Unit | Array | Matrix} x\n   *            Input value\n   * @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix}\n   *            Returns the input value when numeric, converts to a number when input is non-numeric.\n   */\n\n\n  var unaryPlus = typed('unaryPlus', {\n    'number': function number(x) {\n      return x;\n    },\n    'Complex': function Complex(x) {\n      return x; // complex numbers are immutable\n    },\n    'BigNumber': function BigNumber(x) {\n      return x; // bignumbers are immutable\n    },\n    'Fraction': function Fraction(x) {\n      return x; // fractions are immutable\n    },\n    'Unit': function Unit(x) {\n      return x.clone();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since unaryPlus(0) = 0\n      return deepMap(x, unaryPlus, true);\n    },\n    'boolean | string': function booleanString(x) {\n      // convert to a number or bignumber\n      return config.number === 'BigNumber' ? new type.BigNumber(+x) : +x;\n    }\n  });\n  unaryPlus.toTex = {\n    1: \"\".concat(latex.operators['unaryPlus'], \"\\\\left(${args[0]}\\\\right)\")\n  };\n  return unaryPlus;\n}\n\nexports.name = 'unaryPlus';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Calculate the extended greatest common divisor for two values.\n   * See http://en.wikipedia.org/wiki/Extended_Euclidean_algorithm.\n   *\n   * Syntax:\n   *\n   *    math.xgcd(a, b)\n   *\n   * Examples:\n   *\n   *    math.xgcd(8, 12)             // returns [4, -1, 1]\n   *    math.gcd(8, 12)              // returns 4\n   *    math.xgcd(36163, 21199)      // returns [1247, -7, 12]\n   *\n   * See also:\n   *\n   *    gcd, lcm\n   *\n   * @param {number | BigNumber} a  An integer number\n   * @param {number | BigNumber} b  An integer number\n   * @return {Array}              Returns an array containing 3 integers `[div, m, n]`\n   *                              where `div = gcd(a, b)` and `a*m + b*n = div`\n   */\n\n  var xgcd = typed('xgcd', {\n    'number, number': _xgcd,\n    'BigNumber, BigNumber': _xgcdBigNumber // TODO: implement support for Fraction\n\n  });\n  xgcd.toTex = undefined; // use default template\n\n  return xgcd;\n  /**\n   * Calculate xgcd for two numbers\n   * @param {number} a\n   * @param {number} b\n   * @return {number} result\n   * @private\n   */\n\n  function _xgcd(a, b) {\n    // source: http://en.wikipedia.org/wiki/Extended_Euclidean_algorithm\n    var t; // used to swap two variables\n\n    var q; // quotient\n\n    var r; // remainder\n\n    var x = 0;\n    var lastx = 1;\n    var y = 1;\n    var lasty = 0;\n\n    if (!isInteger(a) || !isInteger(b)) {\n      throw new Error('Parameters in function xgcd must be integer numbers');\n    }\n\n    while (b) {\n      q = Math.floor(a / b);\n      r = a - q * b;\n      t = x;\n      x = lastx - q * x;\n      lastx = t;\n      t = y;\n      y = lasty - q * y;\n      lasty = t;\n      a = b;\n      b = r;\n    }\n\n    var res;\n\n    if (a < 0) {\n      res = [-a, -lastx, -lasty];\n    } else {\n      res = [a, a ? lastx : 0, lasty];\n    }\n\n    return config.matrix === 'Array' ? res : matrix(res);\n  }\n  /**\n   * Calculate xgcd for two BigNumbers\n   * @param {BigNumber} a\n   * @param {BigNumber} b\n   * @return {BigNumber[]} result\n   * @private\n   */\n\n\n  function _xgcdBigNumber(a, b) {\n    // source: http://en.wikipedia.org/wiki/Extended_Euclidean_algorithm\n    var // used to swap two variables\n    t;\n    var // quotient\n    q;\n    var // remainder\n    r;\n    var zero = new type.BigNumber(0);\n    var one = new type.BigNumber(1);\n    var x = zero;\n    var lastx = one;\n    var y = one;\n    var lasty = zero;\n\n    if (!a.isInt() || !b.isInt()) {\n      throw new Error('Parameters in function xgcd must be integer numbers');\n    }\n\n    while (!b.isZero()) {\n      q = a.div(b).floor();\n      r = a.mod(b);\n      t = x;\n      x = lastx.minus(q.times(x));\n      lastx = t;\n      t = y;\n      y = lasty.minus(q.times(y));\n      lasty = t;\n      a = b;\n      b = r;\n    }\n\n    var res;\n\n    if (a.lt(zero)) {\n      res = [a.neg(), lastx.neg(), lasty.neg()];\n    } else {\n      res = [a, !a.isZero() ? lastx : 0, lasty];\n    }\n\n    return config.matrix === 'Array' ? res : matrix(res);\n  }\n}\n\nexports.name = 'xgcd';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./bitAnd'), require('./bitNot'), require('./bitOr'), require('./bitXor'), require('./leftShift'), require('./rightArithShift'), require('./rightLogShift')];","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar bigBitAnd = require('../../utils/bignumber/bitAnd');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm06 = load(require('../../type/matrix/utils/algorithm06'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Bitwise AND two values, `x & y`.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.bitAnd(x, y)\n   *\n   * Examples:\n   *\n   *    math.bitAnd(53, 131)               // returns number 1\n   *\n   *    math.bitAnd([1, 12, 31], 42)       // returns Array [0, 8, 10]\n   *\n   * See also:\n   *\n   *    bitNot, bitOr, bitXor, leftShift, rightArithShift, rightLogShift\n   *\n   * @param  {number | BigNumber | Array | Matrix} x First value to and\n   * @param  {number | BigNumber | Array | Matrix} y Second value to and\n   * @return {number | BigNumber | Array | Matrix} AND of `x` and `y`\n   */\n\n  var bitAnd = typed('bitAnd', {\n    'number, number': function numberNumber(x, y) {\n      if (!isInteger(x) || !isInteger(y)) {\n        throw new Error('Integers expected in function bitAnd');\n      }\n\n      return x & y;\n    },\n    'BigNumber, BigNumber': bigBitAnd,\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm06(x, y, bitAnd, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm02(y, x, bitAnd, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm02(x, y, bitAnd, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, bitAnd);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return bitAnd(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return bitAnd(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return bitAnd(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm11(x, y, bitAnd, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, bitAnd, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm11(y, x, bitAnd, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, bitAnd, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, bitAnd, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, bitAnd, true).valueOf();\n    }\n  });\n  bitAnd.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['bitAnd'], \"${args[1]}\\\\right)\")\n  };\n  return bitAnd;\n}\n\nexports.name = 'bitAnd';\nexports.factory = factory;","'use strict';\n\nvar bitwise = require('./bitwise');\n/**\n * Bitwise and for Bignumbers\n *\n * Special Cases:\n *   N &  n =  N\n *   n &  0 =  0\n *   n & -1 =  n\n *   n &  n =  n\n *   I &  I =  I\n *  -I & -I = -I\n *   I & -I =  0\n *   I &  n =  n\n *   I & -n =  I\n *  -I &  n =  0\n *  -I & -n = -I\n *\n * @param {BigNumber} x\n * @param {BigNumber} y\n * @return {BigNumber} Result of `x` & `y`, is fully precise\n * @private\n */\n\n\nmodule.exports = function bitAnd(x, y) {\n  if (x.isFinite() && !x.isInteger() || y.isFinite() && !y.isInteger()) {\n    throw new Error('Integers expected in function bitAnd');\n  }\n\n  var BigNumber = x.constructor;\n\n  if (x.isNaN() || y.isNaN()) {\n    return new BigNumber(NaN);\n  }\n\n  if (x.isZero() || y.eq(-1) || x.eq(y)) {\n    return x;\n  }\n\n  if (y.isZero() || x.eq(-1)) {\n    return y;\n  }\n\n  if (!x.isFinite() || !y.isFinite()) {\n    if (!x.isFinite() && !y.isFinite()) {\n      if (x.isNegative() === y.isNegative()) {\n        return x;\n      }\n\n      return new BigNumber(0);\n    }\n\n    if (!x.isFinite()) {\n      if (y.isNegative()) {\n        return x;\n      }\n\n      if (x.isNegative()) {\n        return new BigNumber(0);\n      }\n\n      return y;\n    }\n\n    if (!y.isFinite()) {\n      if (x.isNegative()) {\n        return y;\n      }\n\n      if (y.isNegative()) {\n        return new BigNumber(0);\n      }\n\n      return x;\n    }\n  }\n\n  return bitwise(x, y, function (a, b) {\n    return a & b;\n  });\n};","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nvar bigBitNot = require('../../utils/bignumber/bitNot');\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n  /**\n   * Bitwise NOT value, `~x`.\n   * For matrices, the function is evaluated element wise.\n   * For units, the function is evaluated on the best prefix base.\n   *\n   * Syntax:\n   *\n   *    math.bitNot(x)\n   *\n   * Examples:\n   *\n   *    math.bitNot(1)               // returns number -2\n   *\n   *    math.bitNot([2, -3, 4])      // returns Array [-3, 2, 5]\n   *\n   * See also:\n   *\n   *    bitAnd, bitOr, bitXor, leftShift, rightArithShift, rightLogShift\n   *\n   * @param  {number | BigNumber | Array | Matrix} x Value to not\n   * @return {number | BigNumber | Array | Matrix} NOT of `x`\n   */\n\n\n  var bitNot = typed('bitNot', {\n    'number': function number(x) {\n      if (!isInteger(x)) {\n        throw new Error('Integer expected in function bitNot');\n      }\n\n      return ~x;\n    },\n    'BigNumber': bigBitNot,\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, bitNot);\n    }\n  });\n  bitNot.toTex = {\n    1: latex.operators['bitNot'] + \"\\\\left(${args[0]}\\\\right)\"\n  };\n  return bitNot;\n}\n\nexports.name = 'bitNot';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar bigBitOr = require('../../utils/bignumber/bitOr');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm01 = load(require('../../type/matrix/utils/algorithm01'));\n  var algorithm04 = load(require('../../type/matrix/utils/algorithm04'));\n  var algorithm10 = load(require('../../type/matrix/utils/algorithm10'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Bitwise OR two values, `x | y`.\n   * For matrices, the function is evaluated element wise.\n   * For units, the function is evaluated on the lowest print base.\n   *\n   * Syntax:\n   *\n   *    math.bitOr(x, y)\n   *\n   * Examples:\n   *\n   *    math.bitOr(1, 2)               // returns number 3\n   *\n   *    math.bitOr([1, 2, 3], 4)       // returns Array [5, 6, 7]\n   *\n   * See also:\n   *\n   *    bitAnd, bitNot, bitXor, leftShift, rightArithShift, rightLogShift\n   *\n   * @param  {number | BigNumber | Array | Matrix} x First value to or\n   * @param  {number | BigNumber | Array | Matrix} y Second value to or\n   * @return {number | BigNumber | Array | Matrix} OR of `x` and `y`\n   */\n\n  var bitOr = typed('bitOr', {\n    'number, number': function numberNumber(x, y) {\n      if (!isInteger(x) || !isInteger(y)) {\n        throw new Error('Integers expected in function bitOr');\n      }\n\n      return x | y;\n    },\n    'BigNumber, BigNumber': bigBitOr,\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm04(x, y, bitOr);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm01(y, x, bitOr, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm01(x, y, bitOr, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, bitOr);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return bitOr(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return bitOr(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return bitOr(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm10(x, y, bitOr, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, bitOr, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm10(y, x, bitOr, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, bitOr, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, bitOr, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, bitOr, true).valueOf();\n    }\n  });\n  bitOr.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['bitOr'], \"${args[1]}\\\\right)\")\n  };\n  return bitOr;\n}\n\nexports.name = 'bitOr';\nexports.factory = factory;","'use strict';\n\nvar bitwise = require('./bitwise');\n/**\n * Bitwise OR for BigNumbers\n *\n * Special Cases:\n *   N |  n =  N\n *   n |  0 =  n\n *   n | -1 = -1\n *   n |  n =  n\n *   I |  I =  I\n *  -I | -I = -I\n *   I | -n = -1\n *   I | -I = -1\n *   I |  n =  I\n *  -I |  n = -I\n *  -I | -n = -n\n *\n * @param {BigNumber} x\n * @param {BigNumber} y\n * @return {BigNumber} Result of `x` | `y`, fully precise\n */\n\n\nmodule.exports = function bitOr(x, y) {\n  if (x.isFinite() && !x.isInteger() || y.isFinite() && !y.isInteger()) {\n    throw new Error('Integers expected in function bitOr');\n  }\n\n  var BigNumber = x.constructor;\n\n  if (x.isNaN() || y.isNaN()) {\n    return new BigNumber(NaN);\n  }\n\n  var negOne = new BigNumber(-1);\n\n  if (x.isZero() || y.eq(negOne) || x.eq(y)) {\n    return y;\n  }\n\n  if (y.isZero() || x.eq(negOne)) {\n    return x;\n  }\n\n  if (!x.isFinite() || !y.isFinite()) {\n    if (!x.isFinite() && !x.isNegative() && y.isNegative() || x.isNegative() && !y.isNegative() && !y.isFinite()) {\n      return negOne;\n    }\n\n    if (x.isNegative() && y.isNegative()) {\n      return x.isFinite() ? x : y;\n    }\n\n    return x.isFinite() ? y : x;\n  }\n\n  return bitwise(x, y, function (a, b) {\n    return a | b;\n  });\n};","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar bigBitXor = require('../../utils/bignumber/bitXor');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm07 = load(require('../../type/matrix/utils/algorithm07'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Bitwise XOR two values, `x ^ y`.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.bitXor(x, y)\n   *\n   * Examples:\n   *\n   *    math.bitXor(1, 2)               // returns number 3\n   *\n   *    math.bitXor([2, 3, 4], 4)       // returns Array [6, 7, 0]\n   *\n   * See also:\n   *\n   *    bitAnd, bitNot, bitOr, leftShift, rightArithShift, rightLogShift\n   *\n   * @param  {number | BigNumber | Array | Matrix} x First value to xor\n   * @param  {number | BigNumber | Array | Matrix} y Second value to xor\n   * @return {number | BigNumber | Array | Matrix} XOR of `x` and `y`\n   */\n\n  var bitXor = typed('bitXor', {\n    'number, number': function numberNumber(x, y) {\n      if (!isInteger(x) || !isInteger(y)) {\n        throw new Error('Integers expected in function bitXor');\n      }\n\n      return x ^ y;\n    },\n    'BigNumber, BigNumber': bigBitXor,\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm07(x, y, bitXor);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, bitXor, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, bitXor, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, bitXor);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return bitXor(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return bitXor(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return bitXor(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm12(x, y, bitXor, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, bitXor, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, bitXor, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, bitXor, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, bitXor, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, bitXor, true).valueOf();\n    }\n  });\n  bitXor.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['bitXor'], \"${args[1]}\\\\right)\")\n  };\n  return bitXor;\n}\n\nexports.name = 'bitXor';\nexports.factory = factory;","'use strict';\n\nvar bitwise = require('./bitwise');\n\nvar bitNot = require('./bitNot');\n/**\n * Bitwise XOR for BigNumbers\n *\n * Special Cases:\n *   N ^  n =  N\n *   n ^  0 =  n\n *   n ^  n =  0\n *   n ^ -1 = ~n\n *   I ^  n =  I\n *   I ^ -n = -I\n *   I ^ -I = -1\n *  -I ^  n = -I\n *  -I ^ -n =  I\n *\n * @param {BigNumber} x\n * @param {BigNumber} y\n * @return {BigNumber} Result of `x` ^ `y`, fully precise\n *\n */\n\n\nmodule.exports = function bitXor(x, y) {\n  if (x.isFinite() && !x.isInteger() || y.isFinite() && !y.isInteger()) {\n    throw new Error('Integers expected in function bitXor');\n  }\n\n  var BigNumber = x.constructor;\n\n  if (x.isNaN() || y.isNaN()) {\n    return new BigNumber(NaN);\n  }\n\n  if (x.isZero()) {\n    return y;\n  }\n\n  if (y.isZero()) {\n    return x;\n  }\n\n  if (x.eq(y)) {\n    return new BigNumber(0);\n  }\n\n  var negOne = new BigNumber(-1);\n\n  if (x.eq(negOne)) {\n    return bitNot(y);\n  }\n\n  if (y.eq(negOne)) {\n    return bitNot(x);\n  }\n\n  if (!x.isFinite() || !y.isFinite()) {\n    if (!x.isFinite() && !y.isFinite()) {\n      return negOne;\n    }\n\n    return new BigNumber(x.isNegative() === y.isNegative() ? Infinity : -Infinity);\n  }\n\n  return bitwise(x, y, function (a, b) {\n    return a ^ b;\n  });\n};","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar bigLeftShift = require('../../utils/bignumber/leftShift');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var equalScalar = load(require('../relational/equalScalar'));\n  var zeros = load(require('../matrix/zeros'));\n  var algorithm01 = load(require('../../type/matrix/utils/algorithm01'));\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm08 = load(require('../../type/matrix/utils/algorithm08'));\n  var algorithm10 = load(require('../../type/matrix/utils/algorithm10'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Bitwise left logical shift of a value x by y number of bits, `x << y`.\n   * For matrices, the function is evaluated element wise.\n   * For units, the function is evaluated on the best prefix base.\n   *\n   * Syntax:\n   *\n   *    math.leftShift(x, y)\n   *\n   * Examples:\n   *\n   *    math.leftShift(1, 2)               // returns number 4\n   *\n   *    math.leftShift([1, 2, 3], 4)       // returns Array [16, 32, 64]\n   *\n   * See also:\n   *\n   *    leftShift, bitNot, bitOr, bitXor, rightArithShift, rightLogShift\n   *\n   * @param  {number | BigNumber | Array | Matrix} x Value to be shifted\n   * @param  {number | BigNumber} y Amount of shifts\n   * @return {number | BigNumber | Array | Matrix} `x` shifted left `y` times\n   */\n\n  var leftShift = typed('leftShift', {\n    'number, number': function numberNumber(x, y) {\n      if (!isInteger(x) || !isInteger(y)) {\n        throw new Error('Integers expected in function leftShift');\n      }\n\n      return x << y;\n    },\n    'BigNumber, BigNumber': bigLeftShift,\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm08(x, y, leftShift, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm02(y, x, leftShift, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm01(x, y, leftShift, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, leftShift);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return leftShift(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return leftShift(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return leftShift(x, matrix(y));\n    },\n    'SparseMatrix, number | BigNumber': function SparseMatrixNumberBigNumber(x, y) {\n      // check scalar\n      if (equalScalar(y, 0)) {\n        return x.clone();\n      }\n\n      return algorithm11(x, y, leftShift, false);\n    },\n    'DenseMatrix, number | BigNumber': function DenseMatrixNumberBigNumber(x, y) {\n      // check scalar\n      if (equalScalar(y, 0)) {\n        return x.clone();\n      }\n\n      return algorithm14(x, y, leftShift, false);\n    },\n    'number | BigNumber, SparseMatrix': function numberBigNumberSparseMatrix(x, y) {\n      // check scalar\n      if (equalScalar(x, 0)) {\n        return zeros(y.size(), y.storage());\n      }\n\n      return algorithm10(y, x, leftShift, true);\n    },\n    'number | BigNumber, DenseMatrix': function numberBigNumberDenseMatrix(x, y) {\n      // check scalar\n      if (equalScalar(x, 0)) {\n        return zeros(y.size(), y.storage());\n      }\n\n      return algorithm14(y, x, leftShift, true);\n    },\n    'Array, number | BigNumber': function ArrayNumberBigNumber(x, y) {\n      // use matrix implementation\n      return leftShift(matrix(x), y).valueOf();\n    },\n    'number | BigNumber, Array': function numberBigNumberArray(x, y) {\n      // use matrix implementation\n      return leftShift(x, matrix(y)).valueOf();\n    }\n  });\n  leftShift.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['leftShift'], \"${args[1]}\\\\right)\")\n  };\n  return leftShift;\n}\n\nexports.name = 'leftShift';\nexports.factory = factory;","'use strict';\n/**\n * Bitwise left shift\n *\n * Special Cases:\n *  n << -n = N\n *  n <<  N = N\n *  N <<  n = N\n *  n <<  0 = n\n *  0 <<  n = 0\n *  I <<  I = N\n *  I <<  n = I\n *  n <<  I = I\n *\n * @param {BigNumber} x\n * @param {BigNumber} y\n * @return {BigNumber} Result of `x` << `y`\n *\n */\n\nmodule.exports = function leftShift(x, y) {\n  if (x.isFinite() && !x.isInteger() || y.isFinite() && !y.isInteger()) {\n    throw new Error('Integers expected in function leftShift');\n  }\n\n  var BigNumber = x.constructor;\n\n  if (x.isNaN() || y.isNaN() || y.isNegative() && !y.isZero()) {\n    return new BigNumber(NaN);\n  }\n\n  if (x.isZero() || y.isZero()) {\n    return x;\n  }\n\n  if (!x.isFinite() && !y.isFinite()) {\n    return new BigNumber(NaN);\n  } // Math.pow(2, y) is fully precise for y < 55, and fast\n\n\n  if (y.lt(55)) {\n    return x.times(Math.pow(2, y.toNumber()) + '');\n  }\n\n  return x.times(new BigNumber(2).pow(y));\n};","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar bigRightArithShift = require('../../utils/bignumber/rightArithShift');\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var equalScalar = load(require('../relational/equalScalar'));\n  var zeros = load(require('../matrix/zeros'));\n  var algorithm01 = load(require('../../type/matrix/utils/algorithm01'));\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm08 = load(require('../../type/matrix/utils/algorithm08'));\n  var algorithm10 = load(require('../../type/matrix/utils/algorithm10'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Bitwise right arithmetic shift of a value x by y number of bits, `x >> y`.\n   * For matrices, the function is evaluated element wise.\n   * For units, the function is evaluated on the best prefix base.\n   *\n   * Syntax:\n   *\n   *    math.rightArithShift(x, y)\n   *\n   * Examples:\n   *\n   *    math.rightArithShift(4, 2)               // returns number 1\n   *\n   *    math.rightArithShift([16, -32, 64], 4)   // returns Array [1, -2, 3]\n   *\n   * See also:\n   *\n   *    bitAnd, bitNot, bitOr, bitXor, rightArithShift, rightLogShift\n   *\n   * @param  {number | BigNumber | Array | Matrix} x Value to be shifted\n   * @param  {number | BigNumber} y Amount of shifts\n   * @return {number | BigNumber | Array | Matrix} `x` sign-filled shifted right `y` times\n   */\n\n  var rightArithShift = typed('rightArithShift', {\n    'number, number': function numberNumber(x, y) {\n      if (!isInteger(x) || !isInteger(y)) {\n        throw new Error('Integers expected in function rightArithShift');\n      }\n\n      return x >> y;\n    },\n    'BigNumber, BigNumber': bigRightArithShift,\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm08(x, y, rightArithShift, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm02(y, x, rightArithShift, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm01(x, y, rightArithShift, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, rightArithShift);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return rightArithShift(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return rightArithShift(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return rightArithShift(x, matrix(y));\n    },\n    'SparseMatrix, number | BigNumber': function SparseMatrixNumberBigNumber(x, y) {\n      // check scalar\n      if (equalScalar(y, 0)) {\n        return x.clone();\n      }\n\n      return algorithm11(x, y, rightArithShift, false);\n    },\n    'DenseMatrix, number | BigNumber': function DenseMatrixNumberBigNumber(x, y) {\n      // check scalar\n      if (equalScalar(y, 0)) {\n        return x.clone();\n      }\n\n      return algorithm14(x, y, rightArithShift, false);\n    },\n    'number | BigNumber, SparseMatrix': function numberBigNumberSparseMatrix(x, y) {\n      // check scalar\n      if (equalScalar(x, 0)) {\n        return zeros(y.size(), y.storage());\n      }\n\n      return algorithm10(y, x, rightArithShift, true);\n    },\n    'number | BigNumber, DenseMatrix': function numberBigNumberDenseMatrix(x, y) {\n      // check scalar\n      if (equalScalar(x, 0)) {\n        return zeros(y.size(), y.storage());\n      }\n\n      return algorithm14(y, x, rightArithShift, true);\n    },\n    'Array, number | BigNumber': function ArrayNumberBigNumber(x, y) {\n      // use matrix implementation\n      return rightArithShift(matrix(x), y).valueOf();\n    },\n    'number | BigNumber, Array': function numberBigNumberArray(x, y) {\n      // use matrix implementation\n      return rightArithShift(x, matrix(y)).valueOf();\n    }\n  });\n  rightArithShift.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['rightArithShift'], \"${args[1]}\\\\right)\")\n  };\n  return rightArithShift;\n}\n\nexports.name = 'rightArithShift';\nexports.factory = factory;","'use strict';\n/*\n * Special Cases:\n *   n >> -n =  N\n *   n >>  N =  N\n *   N >>  n =  N\n *   I >>  I =  N\n *   n >>  0 =  n\n *   I >>  n =  I\n *  -I >>  n = -I\n *  -I >>  I = -I\n *   n >>  I =  I\n *  -n >>  I = -1\n *   0 >>  n =  0\n *\n * @param {BigNumber} value\n * @param {BigNumber} value\n * @return {BigNumber} Result of `x` >> `y`\n *\n */\n\nmodule.exports = function rightArithShift(x, y) {\n  if (x.isFinite() && !x.isInteger() || y.isFinite() && !y.isInteger()) {\n    throw new Error('Integers expected in function rightArithShift');\n  }\n\n  var BigNumber = x.constructor;\n\n  if (x.isNaN() || y.isNaN() || y.isNegative() && !y.isZero()) {\n    return new BigNumber(NaN);\n  }\n\n  if (x.isZero() || y.isZero()) {\n    return x;\n  }\n\n  if (!y.isFinite()) {\n    if (x.isNegative()) {\n      return new BigNumber(-1);\n    }\n\n    if (!x.isFinite()) {\n      return new BigNumber(NaN);\n    }\n\n    return new BigNumber(0);\n  } // Math.pow(2, y) is fully precise for y < 55, and fast\n\n\n  if (y.lt(55)) {\n    return x.div(Math.pow(2, y.toNumber()) + '').floor();\n  }\n\n  return x.div(new BigNumber(2).pow(y)).floor();\n};","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var equalScalar = load(require('../relational/equalScalar'));\n  var zeros = load(require('../matrix/zeros'));\n  var algorithm01 = load(require('../../type/matrix/utils/algorithm01'));\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm08 = load(require('../../type/matrix/utils/algorithm08'));\n  var algorithm10 = load(require('../../type/matrix/utils/algorithm10'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Bitwise right logical shift of value x by y number of bits, `x >>> y`.\n   * For matrices, the function is evaluated element wise.\n   * For units, the function is evaluated on the best prefix base.\n   *\n   * Syntax:\n   *\n   *    math.rightLogShift(x, y)\n   *\n   * Examples:\n   *\n   *    math.rightLogShift(4, 2)               // returns number 1\n   *\n   *    math.rightLogShift([16, -32, 64], 4)   // returns Array [1, 2, 3]\n   *\n   * See also:\n   *\n   *    bitAnd, bitNot, bitOr, bitXor, leftShift, rightLogShift\n   *\n   * @param  {number | Array | Matrix} x Value to be shifted\n   * @param  {number} y Amount of shifts\n   * @return {number | Array | Matrix} `x` zero-filled shifted right `y` times\n   */\n\n  var rightLogShift = typed('rightLogShift', {\n    'number, number': function numberNumber(x, y) {\n      if (!isInteger(x) || !isInteger(y)) {\n        throw new Error('Integers expected in function rightLogShift');\n      }\n\n      return x >>> y;\n    },\n    // 'BigNumber, BigNumber': ..., // TODO: implement BigNumber support for rightLogShift\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm08(x, y, rightLogShift, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm02(y, x, rightLogShift, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm01(x, y, rightLogShift, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, rightLogShift);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return rightLogShift(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return rightLogShift(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return rightLogShift(x, matrix(y));\n    },\n    'SparseMatrix, number | BigNumber': function SparseMatrixNumberBigNumber(x, y) {\n      // check scalar\n      if (equalScalar(y, 0)) {\n        return x.clone();\n      }\n\n      return algorithm11(x, y, rightLogShift, false);\n    },\n    'DenseMatrix, number | BigNumber': function DenseMatrixNumberBigNumber(x, y) {\n      // check scalar\n      if (equalScalar(y, 0)) {\n        return x.clone();\n      }\n\n      return algorithm14(x, y, rightLogShift, false);\n    },\n    'number | BigNumber, SparseMatrix': function numberBigNumberSparseMatrix(x, y) {\n      // check scalar\n      if (equalScalar(x, 0)) {\n        return zeros(y.size(), y.storage());\n      }\n\n      return algorithm10(y, x, rightLogShift, true);\n    },\n    'number | BigNumber, DenseMatrix': function numberBigNumberDenseMatrix(x, y) {\n      // check scalar\n      if (equalScalar(x, 0)) {\n        return zeros(y.size(), y.storage());\n      }\n\n      return algorithm14(y, x, rightLogShift, true);\n    },\n    'Array, number | BigNumber': function ArrayNumberBigNumber(x, y) {\n      // use matrix implementation\n      return rightLogShift(matrix(x), y).valueOf();\n    },\n    'number | BigNumber, Array': function numberBigNumberArray(x, y) {\n      // use matrix implementation\n      return rightLogShift(x, matrix(y)).valueOf();\n    }\n  });\n  rightLogShift.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['rightLogShift'], \"${args[1]}\\\\right)\")\n  };\n  return rightLogShift;\n}\n\nexports.name = 'rightLogShift';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./bellNumbers'), require('./composition'), require('./stirlingS2'), require('./catalan')];","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/add'));\n  var stirlingS2 = load(require('./stirlingS2'));\n  var isNegative = load(require('../utils/isNegative'));\n  var isInteger = load(require('../utils/isInteger'));\n  /**\n   * The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S.\n   * bellNumbers only takes integer arguments.\n   * The following condition must be enforced: n >= 0\n   *\n   * Syntax:\n   *\n   *   math.bellNumbers(n)\n   *\n   * Examples:\n   *\n   *    math.bellNumbers(3) // returns 5\n   *    math.bellNumbers(8) // returns 4140\n   *\n   * See also:\n   *\n   *    stirlingS2\n   *\n   * @param {Number | BigNumber} n    Total number of objects in the set\n   * @return {Number | BigNumber}     B(n)\n   */\n\n  var bellNumbers = typed('bellNumbers', {\n    'number | BigNumber': function numberBigNumber(n) {\n      if (!isInteger(n) || isNegative(n)) {\n        throw new TypeError('Non-negative integer value expected in function bellNumbers');\n      } // Sum (k=0, n) S(n,k).\n\n\n      var result = 0;\n\n      for (var i = 0; i <= n; i++) {\n        result = add(result, stirlingS2(n, i));\n      }\n\n      return result;\n    }\n  });\n  bellNumbers.toTex = {\n    1: \"\\\\mathrm{B}_{${args[0]}}\"\n  };\n  return bellNumbers;\n}\n\nexports.name = 'bellNumbers';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var combinations = load(require('../probability/combinations'));\n  var add = load(require('../arithmetic/addScalar'));\n  var isPositive = load(require('../utils/isPositive'));\n  var isInteger = load(require('../utils/isInteger'));\n  var larger = load(require('../relational/larger'));\n  /**\n   * The composition counts of n into k parts.\n   *\n   * composition only takes integer arguments.\n   * The following condition must be enforced: k <= n.\n   *\n   * Syntax:\n   *\n   *   math.composition(n, k)\n   *\n   * Examples:\n   *\n   *    math.composition(5, 3) // returns 6\n   *\n   * See also:\n   *\n   *    combinations\n   *\n   * @param {Number | BigNumber} n    Total number of objects in the set\n   * @param {Number | BigNumber} k    Number of objects in the subset\n   * @return {Number | BigNumber}     Returns the composition counts of n into k parts.\n   */\n\n  var composition = typed('composition', {\n    'number | BigNumber, number | BigNumber': function numberBigNumberNumberBigNumber(n, k) {\n      if (!isInteger(n) || !isPositive(n) || !isInteger(k) || !isPositive(k)) {\n        throw new TypeError('Positive integer value expected in function composition');\n      } else if (larger(k, n)) {\n        throw new TypeError('k must be less than or equal to n in function composition');\n      }\n\n      return combinations(add(n, -1), add(k, -1));\n    }\n  });\n  composition.toTex = undefined; // use default template\n\n  return composition;\n}\n\nexports.name = 'composition';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/add'));\n  var divide = load(require('../arithmetic/divide'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var combinations = load(require('../probability/combinations'));\n  var isNegative = load(require('../utils/isNegative'));\n  var isInteger = load(require('../utils/isInteger'));\n  /**\n   * The Catalan Numbers enumerate combinatorial structures of many different types.\n   * catalan only takes integer arguments.\n   * The following condition must be enforced: n >= 0\n   *\n   * Syntax:\n   *\n   *   math.catalan(n)\n   *\n   * Examples:\n   *\n   *    math.catalan(3) // returns 5\n   *    math.catalan(8) // returns 1430\n   *\n   * See also:\n   *\n   *    bellNumbers\n   *\n   * @param {Number | BigNumber} n    nth Catalan number\n   * @return {Number | BigNumber}     Cn(n)\n   */\n\n  var catalan = typed('catalan', {\n    'number | BigNumber': function numberBigNumber(n) {\n      if (!isInteger(n) || isNegative(n)) {\n        throw new TypeError('Non-negative integer value expected in function catalan');\n      }\n\n      return divide(combinations(multiply(n, 2), n), add(n, 1));\n    }\n  });\n  catalan.toTex = {\n    1: \"\\\\mathrm{C}_{${args[0]}}\"\n  };\n  return catalan;\n}\n\nexports.name = 'catalan';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./arg'), require('./conj'), require('./im'), require('./re')];","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Compute the argument of a complex value.\n   * For a complex number `a + bi`, the argument is computed as `atan2(b, a)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.arg(x)\n   *\n   * Examples:\n   *\n   *    const a = math.complex(2, 2)\n   *    math.arg(a) / math.pi          // returns number 0.25\n   *\n   *    const b = math.complex('2 + 3i')\n   *    math.arg(b)                    // returns number 0.982793723247329\n   *    math.atan2(3, 2)               // returns number 0.982793723247329\n   *\n   * See also:\n   *\n   *    re, im, conj, abs\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x\n   *            A complex number or array with complex numbers\n   * @return {number | BigNumber | Array | Matrix} The argument of x\n   */\n  var arg = typed('arg', {\n    'number': function number(x) {\n      return Math.atan2(0, x);\n    },\n    'BigNumber': function BigNumber(x) {\n      return type.BigNumber.atan2(0, x);\n    },\n    'Complex': function Complex(x) {\n      return x.arg();\n    },\n    // TODO: implement BigNumber support for function arg\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, arg);\n    }\n  });\n  arg.toTex = {\n    1: \"\\\\arg\\\\left(${args[0]}\\\\right)\"\n  };\n  return arg;\n}\n\nexports.name = 'arg';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Get the imaginary part of a complex number.\n   * For a complex number `a + bi`, the function returns `b`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.im(x)\n   *\n   * Examples:\n   *\n   *    const a = math.complex(2, 3)\n   *    math.re(a)                     // returns number 2\n   *    math.im(a)                     // returns number 3\n   *\n   *    math.re(math.complex('-5.2i')) // returns number -5.2\n   *    math.re(math.complex(2.4))     // returns number 0\n   *\n   * See also:\n   *\n   *    re, conj, abs, arg\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x\n   *            A complex number or array with complex numbers\n   * @return {number | BigNumber | Array | Matrix} The imaginary part of x\n   */\n  var im = typed('im', {\n    'number': function number(x) {\n      return 0;\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(0);\n    },\n    'Complex': function Complex(x) {\n      return x.im;\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, im);\n    }\n  });\n  im.toTex = {\n    1: \"\\\\Im\\\\left\\\\lbrace${args[0]}\\\\right\\\\rbrace\"\n  };\n  return im;\n}\n\nexports.name = 'im';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Get the real part of a complex number.\n   * For a complex number `a + bi`, the function returns `a`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.re(x)\n   *\n   * Examples:\n   *\n   *    const a = math.complex(2, 3)\n   *    math.re(a)                     // returns number 2\n   *    math.im(a)                     // returns number 3\n   *\n   *    math.re(math.complex('-5.2i')) // returns number 0\n   *    math.re(math.complex(2.4))     // returns number 2.4\n   *\n   * See also:\n   *\n   *    im, conj, abs, arg\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x\n   *            A complex number or array with complex numbers\n   * @return {number | BigNumber | Array | Matrix} The real part of x\n   */\n  var re = typed('re', {\n    'number': function number(x) {\n      return x;\n    },\n    'BigNumber': function BigNumber(x) {\n      return x;\n    },\n    'Complex': function Complex(x) {\n      return x.re;\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, re);\n    }\n  });\n  re.toTex = {\n    1: \"\\\\Re\\\\left\\\\lbrace${args[0]}\\\\right\\\\rbrace\"\n  };\n  return re;\n}\n\nexports.name = 're';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./intersect'), require('./distance')];","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var abs = load(require('../arithmetic/abs'));\n  var add = load(require('../arithmetic/add'));\n  var addScalar = load(require('../arithmetic/addScalar'));\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var multiplyScalar = load(require('../arithmetic/multiplyScalar'));\n  var divideScalar = load(require('../arithmetic/divideScalar'));\n  var subtract = load(require('../arithmetic/subtract'));\n  var smaller = load(require('../relational/smaller'));\n  var equalScalar = load(require('../relational/equalScalar'));\n  /**\n   * Calculates the point of intersection of two lines in two or three dimensions\n   * and of a line and a plane in three dimensions. The inputs are in the form of\n   * arrays or 1 dimensional matrices. The line intersection functions return null\n   * if the lines do not meet.\n   *\n   * Note: Fill the plane coefficients as `x + y + z = c` and not as `x + y + z + c = 0`.\n   *\n   * Syntax:\n   *\n   *    math.intersect(endPoint1Line1, endPoint2Line1, endPoint1Line2, endPoint2Line2)\n   *    math.intersect(endPoint1, endPoint2, planeCoefficients)\n   *\n   * Examples:\n   *\n   *    math.intersect([0, 0], [10, 10], [10, 0], [0, 10])              // Returns [5, 5]\n   *    math.intersect([0, 0, 0], [10, 10, 0], [10, 0, 0], [0, 10, 0])  // Returns [5, 5, 0]\n   *    math.intersect([1, 0, 1],  [4, -2, 2], [1, 1, 1, 6])            // Returns [7, -4, 3]\n   *\n   * @param  {Array | Matrix} w   Co-ordinates of first end-point of first line\n   * @param  {Array | Matrix} x   Co-ordinates of second end-point of first line\n   * @param  {Array | Matrix} y   Co-ordinates of first end-point of second line\n   *                              OR Co-efficients of the plane's equation\n   * @param  {Array | Matrix} z   Co-ordinates of second end-point of second line\n   *                              OR null if the calculation is for line and plane\n   * @return {Array}              Returns the point of intersection of lines/lines-planes\n   */\n\n  var intersect = typed('intersect', {\n    'Array, Array, Array': function ArrayArrayArray(x, y, plane) {\n      if (!_3d(x)) {\n        throw new TypeError('Array with 3 numbers or BigNumbers expected for first argument');\n      }\n\n      if (!_3d(y)) {\n        throw new TypeError('Array with 3 numbers or BigNumbers expected for second argument');\n      }\n\n      if (!_4d(plane)) {\n        throw new TypeError('Array with 4 numbers expected as third argument');\n      }\n\n      return _intersectLinePlane(x[0], x[1], x[2], y[0], y[1], y[2], plane[0], plane[1], plane[2], plane[3]);\n    },\n    'Array, Array, Array, Array': function ArrayArrayArrayArray(w, x, y, z) {\n      if (w.length === 2) {\n        if (!_2d(w)) {\n          throw new TypeError('Array with 2 numbers or BigNumbers expected for first argument');\n        }\n\n        if (!_2d(x)) {\n          throw new TypeError('Array with 2 numbers or BigNumbers expected for second argument');\n        }\n\n        if (!_2d(y)) {\n          throw new TypeError('Array with 2 numbers or BigNumbers expected for third argument');\n        }\n\n        if (!_2d(z)) {\n          throw new TypeError('Array with 2 numbers or BigNumbers expected for fourth argument');\n        }\n\n        return _intersect2d(w, x, y, z);\n      } else if (w.length === 3) {\n        if (!_3d(w)) {\n          throw new TypeError('Array with 3 numbers or BigNumbers expected for first argument');\n        }\n\n        if (!_3d(x)) {\n          throw new TypeError('Array with 3 numbers or BigNumbers expected for second argument');\n        }\n\n        if (!_3d(y)) {\n          throw new TypeError('Array with 3 numbers or BigNumbers expected for third argument');\n        }\n\n        if (!_3d(z)) {\n          throw new TypeError('Array with 3 numbers or BigNumbers expected for fourth argument');\n        }\n\n        return _intersect3d(w[0], w[1], w[2], x[0], x[1], x[2], y[0], y[1], y[2], z[0], z[1], z[2]);\n      } else {\n        throw new TypeError('Arrays with two or thee dimensional points expected');\n      }\n    },\n    'Matrix, Matrix, Matrix': function MatrixMatrixMatrix(x, y, plane) {\n      return matrix(intersect(x.valueOf(), y.valueOf(), plane.valueOf()));\n    },\n    'Matrix, Matrix, Matrix, Matrix': function MatrixMatrixMatrixMatrix(w, x, y, z) {\n      // TODO: output matrix type should match input matrix type\n      return matrix(intersect(w.valueOf(), x.valueOf(), y.valueOf(), z.valueOf()));\n    }\n  });\n\n  function _isNumber(a) {\n    // intersect supports numbers and bignumbers\n    return typeof a === 'number' || type.isBigNumber(a);\n  }\n\n  function _2d(x) {\n    return x.length === 2 && _isNumber(x[0]) && _isNumber(x[1]);\n  }\n\n  function _3d(x) {\n    return x.length === 3 && _isNumber(x[0]) && _isNumber(x[1]) && _isNumber(x[2]);\n  }\n\n  function _4d(x) {\n    return x.length === 4 && _isNumber(x[0]) && _isNumber(x[1]) && _isNumber(x[2]) && _isNumber(x[3]);\n  }\n\n  function _intersect2d(p1a, p1b, p2a, p2b) {\n    var o1 = p1a;\n    var o2 = p2a;\n    var d1 = subtract(o1, p1b);\n    var d2 = subtract(o2, p2b);\n    var det = subtract(multiplyScalar(d1[0], d2[1]), multiplyScalar(d2[0], d1[1]));\n\n    if (smaller(abs(det), config.epsilon)) {\n      return null;\n    }\n\n    var d20o11 = multiplyScalar(d2[0], o1[1]);\n    var d21o10 = multiplyScalar(d2[1], o1[0]);\n    var d20o21 = multiplyScalar(d2[0], o2[1]);\n    var d21o20 = multiplyScalar(d2[1], o2[0]);\n    var t = divideScalar(addScalar(subtract(subtract(d20o11, d21o10), d20o21), d21o20), det);\n    return add(multiply(d1, t), o1);\n  }\n\n  function _intersect3dHelper(a, b, c, d, e, f, g, h, i, j, k, l) {\n    // (a - b)*(c - d) + (e - f)*(g - h) + (i - j)*(k - l)\n    var add1 = multiplyScalar(subtract(a, b), subtract(c, d));\n    var add2 = multiplyScalar(subtract(e, f), subtract(g, h));\n    var add3 = multiplyScalar(subtract(i, j), subtract(k, l));\n    return addScalar(addScalar(add1, add2), add3);\n  }\n\n  function _intersect3d(x1, y1, z1, x2, y2, z2, x3, y3, z3, x4, y4, z4) {\n    var d1343 = _intersect3dHelper(x1, x3, x4, x3, y1, y3, y4, y3, z1, z3, z4, z3);\n\n    var d4321 = _intersect3dHelper(x4, x3, x2, x1, y4, y3, y2, y1, z4, z3, z2, z1);\n\n    var d1321 = _intersect3dHelper(x1, x3, x2, x1, y1, y3, y2, y1, z1, z3, z2, z1);\n\n    var d4343 = _intersect3dHelper(x4, x3, x4, x3, y4, y3, y4, y3, z4, z3, z4, z3);\n\n    var d2121 = _intersect3dHelper(x2, x1, x2, x1, y2, y1, y2, y1, z2, z1, z2, z1);\n\n    var ta = divideScalar(subtract(multiplyScalar(d1343, d4321), multiplyScalar(d1321, d4343)), subtract(multiplyScalar(d2121, d4343), multiplyScalar(d4321, d4321)));\n    var tb = divideScalar(addScalar(d1343, multiplyScalar(ta, d4321)), d4343);\n    var pax = addScalar(x1, multiplyScalar(ta, subtract(x2, x1)));\n    var pay = addScalar(y1, multiplyScalar(ta, subtract(y2, y1)));\n    var paz = addScalar(z1, multiplyScalar(ta, subtract(z2, z1)));\n    var pbx = addScalar(x3, multiplyScalar(tb, subtract(x4, x3)));\n    var pby = addScalar(y3, multiplyScalar(tb, subtract(y4, y3)));\n    var pbz = addScalar(z3, multiplyScalar(tb, subtract(z4, z3)));\n\n    if (equalScalar(pax, pbx) && equalScalar(pay, pby) && equalScalar(paz, pbz)) {\n      return [pax, pay, paz];\n    } else {\n      return null;\n    }\n  }\n\n  function _intersectLinePlane(x1, y1, z1, x2, y2, z2, x, y, z, c) {\n    var x1x = multiplyScalar(x1, x);\n    var x2x = multiplyScalar(x2, x);\n    var y1y = multiplyScalar(y1, y);\n    var y2y = multiplyScalar(y2, y);\n    var z1z = multiplyScalar(z1, z);\n    var z2z = multiplyScalar(z2, z);\n    var t = divideScalar(subtract(subtract(subtract(c, x1x), y1y), z1z), subtract(subtract(subtract(addScalar(addScalar(x2x, y2y), z2z), x1x), y1y), z1z));\n    var px = addScalar(x1, multiplyScalar(t, subtract(x2, x1)));\n    var py = addScalar(y1, multiplyScalar(t, subtract(y2, y1)));\n    var pz = addScalar(z1, multiplyScalar(t, subtract(z2, z1)));\n    return [px, py, pz]; // TODO: Add cases when line is parallel to the plane:\n    //       (a) no intersection,\n    //       (b) line contained in plane\n  }\n\n  return intersect;\n}\n\nexports.name = 'intersect';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/addScalar'));\n  var subtract = load(require('../arithmetic/subtract'));\n  var multiply = load(require('../arithmetic/multiplyScalar'));\n  var divide = load(require('../arithmetic/divideScalar'));\n  var negate = load(require('../arithmetic/unaryMinus'));\n  var sqrt = load(require('../arithmetic/sqrt'));\n  var abs = load(require('../arithmetic/abs'));\n  /**\n    * Calculates:\n    *    The eucledian distance between two points in 2 and 3 dimensional spaces.\n    *    Distance between point and a line in 2 and 3 dimensional spaces.\n    *    Pairwise distance between a set of 2D or 3D points\n    * NOTE:\n    *    When substituting coefficients of a line(a, b and c), use ax + by + c = 0 instead of ax + by = c\n    *    For parametric equation of a 3D line, x0, y0, z0, a, b, c are from: (x−x0, y−y0, z−z0) = t(a, b, c)\n    *\n    * Syntax:\n    *    math.distance([x1, y1], [x2, y2])\n    *-   math.distance({pointOneX: 4, pointOneY: 5}, {pointTwoX: 2, pointTwoY: 7})\n    *    math.distance([x1, y1, z1], [x2, y2, z2])\n    *    math.distance({pointOneX: 4, pointOneY: 5, pointOneZ: 8}, {pointTwoX: 2, pointTwoY: 7, pointTwoZ: 9})\n    *    math.distance([[A], [B], [C]...])\n    *    math.distance([x1, y1], [LinePtX1, LinePtY1], [LinePtX2, LinePtY2])\n    *    math.distance({pointX: 1, pointY: 4}, {lineOnePtX: 6, lineOnePtY: 3}, {lineTwoPtX: 2, lineTwoPtY: 8})\n    *    math.distance([x1, y1, z1], [LinePtX1, LinePtY1, LinePtZ1], [LinePtX2, LinePtY2, LinePtZ2])\n    *    math.distance({pointX: 1, pointY: 4, pointZ: 7}, {lineOnePtX: 6, lineOnePtY: 3, lineOnePtZ: 4}, {lineTwoPtX: 2, lineTwoPtY: 8, lineTwoPtZ: 5})\n    *    math.distance([x1, y1], [xCoeffLine, yCoeffLine, constant])\n    *    math.distance({pointX: 10, pointY: 10}, {xCoeffLine: 8, yCoeffLine: 1, constant: 3})\n    *    math.distance([x1, y1, z1], [x0, y0, z0, a-tCoeff, b-tCoeff, c-tCoeff]) point and parametric equation of 3D line\n    *    math.distance([x, y, z], [x0, y0, z0, a, b, c])\n    *    math.distance({pointX: 2, pointY: 5, pointZ: 9}, {x0: 4, y0: 6, z0: 3, a: 4, b: 2, c: 0})\n    *\n    * Examples:\n    *    math.distance([0,0], [4,4])                     // Returns 5.6569\n    *    math.distance(\n    *     {pointOneX: 0, pointOneY: 0},\n    *     {pointTwoX: 10, pointTwoY: 10})                // Returns 14.142135623730951\n    *    math.distance([1, 0, 1], [4, -2, 2])            // Returns 3.74166\n    *    math.distance(\n    *     {pointOneX: 4, pointOneY: 5, pointOneZ: 8},\n    *     {pointTwoX: 2, pointTwoY: 7, pointTwoZ: 9})    // Returns 3\n    *    math.distance([[1, 2], [1, 2], [1, 3]])         // Returns [0, 1, 1]\n    *    math.distance([[1,2,4], [1,2,6], [8,1,3]])      // Returns [2, 7.14142842854285, 7.681145747868608]\n    *    math.distance([10, 10], [8, 1, 3])              // Returns 11.535230316796387\n    *    math.distance([10, 10], [2, 3], [-8, 0])        // Returns 8.759953130362847\n    *    math.distance(\n    *     {pointX: 1, pointY: 4},\n    *     {lineOnePtX: 6, lineOnePtY: 3},\n    *     {lineTwoPtX: 2, lineTwoPtY: 8})                // Returns 2.720549372624744\n    *    math.distance([2, 3, 1], [1, 1, 2, 5, 0, 1])    // Returns 2.3204774044612857\n    *    math.distance(\n    *     {pointX: 2, pointY: 3, pointZ: 1},\n    *     {x0: 1, y0: 1, z0: 2, a: 5, b: 0, c: 1}        // Returns 2.3204774044612857\n    *\n    * @param {Array | Matrix | Object} x    Co-ordinates of first point\n    * @param {Array | Matrix | Object} y    Co-ordinates of second point\n    * @return {Number | BigNumber} Returns the distance from two/three points\n  */\n\n  var distance = typed('distance', {\n    'Array, Array, Array': function ArrayArrayArray(x, y, z) {\n      // Point to Line 2D (x=Point, y=LinePoint1, z=LinePoint2)\n      if (x.length === 2 && y.length === 2 && z.length === 2) {\n        if (!_2d(x)) {\n          throw new TypeError('Array with 2 numbers or BigNumbers expected for first argument');\n        }\n\n        if (!_2d(y)) {\n          throw new TypeError('Array with 2 numbers or BigNumbers expected for second argument');\n        }\n\n        if (!_2d(z)) {\n          throw new TypeError('Array with 2 numbers or BigNumbers expected for third argument');\n        }\n\n        var m = divide(subtract(z[1], z[0]), subtract(y[1], y[0]));\n        var xCoeff = multiply(multiply(m, m), y[0]);\n        var yCoeff = negate(multiply(m, y[0]));\n        var constant = x[1];\n        return _distancePointLine2D(x[0], x[1], xCoeff, yCoeff, constant);\n      } else {\n        throw new TypeError('Invalid Arguments: Try again');\n      }\n    },\n    'Object, Object, Object': function ObjectObjectObject(x, y, z) {\n      if (Object.keys(x).length === 2 && Object.keys(y).length === 2 && Object.keys(z).length === 2) {\n        if (!_2d(x)) {\n          throw new TypeError('Values of pointX and pointY should be numbers or BigNumbers');\n        }\n\n        if (!_2d(y)) {\n          throw new TypeError('Values of lineOnePtX and lineOnePtY should be numbers or BigNumbers');\n        }\n\n        if (!_2d(z)) {\n          throw new TypeError('Values of lineTwoPtX and lineTwoPtY should be numbers or BigNumbers');\n        }\n\n        if (x.hasOwnProperty('pointX') && x.hasOwnProperty('pointY') && y.hasOwnProperty('lineOnePtX') && y.hasOwnProperty('lineOnePtY') && z.hasOwnProperty('lineTwoPtX') && z.hasOwnProperty('lineTwoPtY')) {\n          var m = divide(subtract(z.lineTwoPtY, z.lineTwoPtX), subtract(y.lineOnePtY, y.lineOnePtX));\n          var xCoeff = multiply(multiply(m, m), y.lineOnePtX);\n          var yCoeff = negate(multiply(m, y.lineOnePtX));\n          var constant = x.pointX;\n          return _distancePointLine2D(x.pointX, x.pointY, xCoeff, yCoeff, constant);\n        } else {\n          throw new TypeError('Key names do not match');\n        }\n      } else {\n        throw new TypeError('Invalid Arguments: Try again');\n      }\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // Point to Line 2D (x=[pointX, pointY], y=[x-coeff, y-coeff, const])\n      if (x.length === 2 && y.length === 3) {\n        if (!_2d(x)) {\n          throw new TypeError('Array with 2 numbers or BigNumbers expected for first argument');\n        }\n\n        if (!_3d(y)) {\n          throw new TypeError('Array with 3 numbers or BigNumbers expected for second argument');\n        }\n\n        return _distancePointLine2D(x[0], x[1], y[0], y[1], y[2]);\n      } else if (x.length === 3 && y.length === 6) {\n        // Point to Line 3D\n        if (!_3d(x)) {\n          throw new TypeError('Array with 3 numbers or BigNumbers expected for first argument');\n        }\n\n        if (!_parametricLine(y)) {\n          throw new TypeError('Array with 6 numbers or BigNumbers expected for second argument');\n        }\n\n        return _distancePointLine3D(x[0], x[1], x[2], y[0], y[1], y[2], y[3], y[4], y[5]);\n      } else if (x.length === 2 && y.length === 2) {\n        // Point to Point 2D\n        if (!_2d(x)) {\n          throw new TypeError('Array with 2 numbers or BigNumbers expected for first argument');\n        }\n\n        if (!_2d(y)) {\n          throw new TypeError('Array with 2 numbers or BigNumbers expected for second argument');\n        }\n\n        return _distance2d(x[0], x[1], y[0], y[1]);\n      } else if (x.length === 3 && y.length === 3) {\n        // Point to Point 3D\n        if (!_3d(x)) {\n          throw new TypeError('Array with 3 numbers or BigNumbers expected for first argument');\n        }\n\n        if (!_3d(y)) {\n          throw new TypeError('Array with 3 numbers or BigNumbers expected for second argument');\n        }\n\n        return _distance3d(x[0], x[1], x[2], y[0], y[1], y[2]);\n      } else {\n        throw new TypeError('Invalid Arguments: Try again');\n      }\n    },\n    'Object, Object': function ObjectObject(x, y) {\n      if (Object.keys(x).length === 2 && Object.keys(y).length === 3) {\n        if (!_2d(x)) {\n          throw new TypeError('Values of pointX and pointY should be numbers or BigNumbers');\n        }\n\n        if (!_3d(y)) {\n          throw new TypeError('Values of xCoeffLine, yCoeffLine and constant should be numbers or BigNumbers');\n        }\n\n        if (x.hasOwnProperty('pointX') && x.hasOwnProperty('pointY') && y.hasOwnProperty('xCoeffLine') && y.hasOwnProperty('yCoeffLine') && y.hasOwnProperty('constant')) {\n          return _distancePointLine2D(x.pointX, x.pointY, y.xCoeffLine, y.yCoeffLine, y.constant);\n        } else {\n          throw new TypeError('Key names do not match');\n        }\n      } else if (Object.keys(x).length === 3 && Object.keys(y).length === 6) {\n        // Point to Line 3D\n        if (!_3d(x)) {\n          throw new TypeError('Values of pointX, pointY and pointZ should be numbers or BigNumbers');\n        }\n\n        if (!_parametricLine(y)) {\n          throw new TypeError('Values of x0, y0, z0, a, b and c should be numbers or BigNumbers');\n        }\n\n        if (x.hasOwnProperty('pointX') && x.hasOwnProperty('pointY') && y.hasOwnProperty('x0') && y.hasOwnProperty('y0') && y.hasOwnProperty('z0') && y.hasOwnProperty('a') && y.hasOwnProperty('b') && y.hasOwnProperty('c')) {\n          return _distancePointLine3D(x.pointX, x.pointY, x.pointZ, y.x0, y.y0, y.z0, y.a, y.b, y.c);\n        } else {\n          throw new TypeError('Key names do not match');\n        }\n      } else if (Object.keys(x).length === 2 && Object.keys(y).length === 2) {\n        // Point to Point 2D\n        if (!_2d(x)) {\n          throw new TypeError('Values of pointOneX and pointOneY should be numbers or BigNumbers');\n        }\n\n        if (!_2d(y)) {\n          throw new TypeError('Values of pointTwoX and pointTwoY should be numbers or BigNumbers');\n        }\n\n        if (x.hasOwnProperty('pointOneX') && x.hasOwnProperty('pointOneY') && y.hasOwnProperty('pointTwoX') && y.hasOwnProperty('pointTwoY')) {\n          return _distance2d(x.pointOneX, x.pointOneY, y.pointTwoX, y.pointTwoY);\n        } else {\n          throw new TypeError('Key names do not match');\n        }\n      } else if (Object.keys(x).length === 3 && Object.keys(y).length === 3) {\n        // Point to Point 3D\n        if (!_3d(x)) {\n          throw new TypeError('Values of pointOneX, pointOneY and pointOneZ should be numbers or BigNumbers');\n        }\n\n        if (!_3d(y)) {\n          throw new TypeError('Values of pointTwoX, pointTwoY and pointTwoZ should be numbers or BigNumbers');\n        }\n\n        if (x.hasOwnProperty('pointOneX') && x.hasOwnProperty('pointOneY') && x.hasOwnProperty('pointOneZ') && y.hasOwnProperty('pointTwoX') && y.hasOwnProperty('pointTwoY') && y.hasOwnProperty('pointTwoZ')) {\n          return _distance3d(x.pointOneX, x.pointOneY, x.pointOneZ, y.pointTwoX, y.pointTwoY, y.pointTwoZ);\n        } else {\n          throw new TypeError('Key names do not match');\n        }\n      } else {\n        throw new TypeError('Invalid Arguments: Try again');\n      }\n    },\n    'Array': function Array(arr) {\n      if (!_pairwise(arr)) {\n        throw new TypeError('Incorrect array format entered for pairwise distance calculation');\n      }\n\n      return _distancePairwise(arr);\n    }\n  });\n\n  function _isNumber(a) {\n    // distance supports numbers and bignumbers\n    return typeof a === 'number' || type.isBigNumber(a);\n  }\n\n  function _2d(a) {\n    // checks if the number of arguments are correct in count and are valid (should be numbers)\n    if (a.constructor !== Array) {\n      a = _objectToArray(a);\n    }\n\n    return _isNumber(a[0]) && _isNumber(a[1]);\n  }\n\n  function _3d(a) {\n    // checks if the number of arguments are correct in count and are valid (should be numbers)\n    if (a.constructor !== Array) {\n      a = _objectToArray(a);\n    }\n\n    return _isNumber(a[0]) && _isNumber(a[1]) && _isNumber(a[2]);\n  }\n\n  function _parametricLine(a) {\n    if (a.constructor !== Array) {\n      a = _objectToArray(a);\n    }\n\n    return _isNumber(a[0]) && _isNumber(a[1]) && _isNumber(a[2]) && _isNumber(a[3]) && _isNumber(a[4]) && _isNumber(a[5]);\n  }\n\n  function _objectToArray(o) {\n    var keys = Object.keys(o);\n    var a = [];\n\n    for (var i = 0; i < keys.length; i++) {\n      a.push(o[keys[i]]);\n    }\n\n    return a;\n  }\n\n  function _pairwise(a) {\n    // checks for valid arguments passed to _distancePairwise(Array)\n    if (a[0].length === 2 && _isNumber(a[0][0]) && _isNumber(a[0][1])) {\n      for (var i in a) {\n        if (a[i].length !== 2 || !_isNumber(a[i][0]) || !_isNumber(a[i][1])) {\n          return false;\n        }\n      }\n    } else if (a[0].length === 3 && _isNumber(a[0][0]) && _isNumber(a[0][1]) && _isNumber(a[0][2])) {\n      for (var _i in a) {\n        if (a[_i].length !== 3 || !_isNumber(a[_i][0]) || !_isNumber(a[_i][1]) || !_isNumber(a[_i][2])) {\n          return false;\n        }\n      }\n    } else {\n      return false;\n    }\n\n    return true;\n  }\n\n  function _distancePointLine2D(x, y, a, b, c) {\n    var num = abs(add(add(multiply(a, x), multiply(b, y)), c));\n    var den = sqrt(add(multiply(a, a), multiply(b, b)));\n    var result = divide(num, den);\n    return result;\n  }\n\n  function _distancePointLine3D(x, y, z, x0, y0, z0, a, b, c) {\n    var num = [subtract(multiply(subtract(y0, y), c), multiply(subtract(z0, z), b)), subtract(multiply(subtract(z0, z), a), multiply(subtract(x0, x), c)), subtract(multiply(subtract(x0, x), b), multiply(subtract(y0, y), a))];\n    num = sqrt(add(add(multiply(num[0], num[0]), multiply(num[1], num[1])), multiply(num[2], num[2])));\n    var den = sqrt(add(add(multiply(a, a), multiply(b, b)), multiply(c, c)));\n    var result = divide(num, den);\n    return result;\n  }\n\n  function _distance2d(x1, y1, x2, y2) {\n    var yDiff = subtract(y2, y1);\n    var xDiff = subtract(x2, x1);\n    var radicant = add(multiply(yDiff, yDiff), multiply(xDiff, xDiff));\n    var result = sqrt(radicant);\n    return result;\n  }\n\n  function _distance3d(x1, y1, z1, x2, y2, z2) {\n    var zDiff = subtract(z2, z1);\n    var yDiff = subtract(y2, y1);\n    var xDiff = subtract(x2, x1);\n    var radicant = add(add(multiply(zDiff, zDiff), multiply(yDiff, yDiff)), multiply(xDiff, xDiff));\n    var result = sqrt(radicant);\n    return result;\n  }\n\n  function _distancePairwise(a) {\n    var result = [];\n\n    for (var i = 0; i < a.length - 1; i++) {\n      for (var j = i + 1; j < a.length; j++) {\n        if (a[0].length === 2) {\n          result.push(_distance2d(a[i][0], a[i][1], a[j][0], a[j][1]));\n        } else if (a[0].length === 3) {\n          result.push(_distance3d(a[i][0], a[i][1], a[i][2], a[j][0], a[j][1], a[j][2]));\n        }\n      }\n    }\n\n    return result;\n  }\n\n  return distance;\n}\n\nexports.name = 'distance';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./and'), require('./not'), require('./or'), require('./xor')];","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var zeros = load(require('../matrix/zeros'));\n  var not = load(require('./not'));\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm06 = load(require('../../type/matrix/utils/algorithm06'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Logical `and`. Test whether two values are both defined with a nonzero/nonempty value.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.and(x, y)\n   *\n   * Examples:\n   *\n   *    math.and(2, 4)   // returns true\n   *\n   *    a = [2, 0, 0]\n   *    b = [3, 7, 0]\n   *    c = 0\n   *\n   *    math.and(a, b)   // returns [true, false, false]\n   *    math.and(a, c)   // returns [false, false, false]\n   *\n   * See also:\n   *\n   *    not, or, xor\n   *\n   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} x First value to check\n   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} y Second value to check\n   * @return {boolean | Array | Matrix}\n   *            Returns true when both inputs are defined with a nonzero/nonempty value.\n   */\n\n  var and = typed('and', {\n    'number, number': function numberNumber(x, y) {\n      return !!(x && y);\n    },\n    'Complex, Complex': function ComplexComplex(x, y) {\n      return (x.re !== 0 || x.im !== 0) && (y.re !== 0 || y.im !== 0);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return !x.isZero() && !y.isZero() && !x.isNaN() && !y.isNaN();\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      return and(x.value || 0, y.value || 0);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm06(x, y, and, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm02(y, x, and, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm02(x, y, and, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, and);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return and(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return and(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return and(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      // check scalar\n      if (not(y)) {\n        // return zero matrix\n        return zeros(x.size(), x.storage());\n      }\n\n      return algorithm11(x, y, and, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      // check scalar\n      if (not(y)) {\n        // return zero matrix\n        return zeros(x.size(), x.storage());\n      }\n\n      return algorithm14(x, y, and, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      // check scalar\n      if (not(x)) {\n        // return zero matrix\n        return zeros(x.size(), x.storage());\n      }\n\n      return algorithm11(y, x, and, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      // check scalar\n      if (not(x)) {\n        // return zero matrix\n        return zeros(x.size(), x.storage());\n      }\n\n      return algorithm14(y, x, and, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return and(matrix(x), y).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return and(x, matrix(y)).valueOf();\n    }\n  });\n  and.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['and'], \"${args[1]}\\\\right)\")\n  };\n  return and;\n}\n\nexports.name = 'and';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm05 = load(require('../../type/matrix/utils/algorithm05'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Logical `or`. Test if at least one value is defined with a nonzero/nonempty value.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.or(x, y)\n   *\n   * Examples:\n   *\n   *    math.or(2, 4)   // returns true\n   *\n   *    a = [2, 5, 0]\n   *    b = [0, 22, 0]\n   *    c = 0\n   *\n   *    math.or(a, b)   // returns [true, true, false]\n   *    math.or(b, c)   // returns [false, true, false]\n   *\n   * See also:\n   *\n   *    and, not, xor\n   *\n   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} x First value to check\n   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} y Second value to check\n   * @return {boolean | Array | Matrix}\n   *            Returns true when one of the inputs is defined with a nonzero/nonempty value.\n   */\n\n  var or = typed('or', {\n    'number, number': function numberNumber(x, y) {\n      return !!(x || y);\n    },\n    'Complex, Complex': function ComplexComplex(x, y) {\n      return x.re !== 0 || x.im !== 0 || y.re !== 0 || y.im !== 0;\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return !x.isZero() && !x.isNaN() || !y.isZero() && !y.isNaN();\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      return or(x.value || 0, y.value || 0);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm05(x, y, or);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, or, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, or, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, or);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return or(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return or(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return or(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm12(x, y, or, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, or, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, or, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, or, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, or, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, or, true).valueOf();\n    }\n  });\n  or.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['or'], \"${args[1]}\\\\right)\")\n  };\n  return or;\n}\n\nexports.name = 'or';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm07 = load(require('../../type/matrix/utils/algorithm07'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Logical `xor`. Test whether one and only one value is defined with a nonzero/nonempty value.\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.xor(x, y)\n   *\n   * Examples:\n   *\n   *    math.xor(2, 4)   // returns false\n   *\n   *    a = [2, 0, 0]\n   *    b = [2, 7, 0]\n   *    c = 0\n   *\n   *    math.xor(a, b)   // returns [false, true, false]\n   *    math.xor(a, c)   // returns [true, false, false]\n   *\n   * See also:\n   *\n   *    and, not, or\n   *\n   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} x First value to check\n   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} y Second value to check\n   * @return {boolean | Array | Matrix}\n   *            Returns true when one and only one input is defined with a nonzero/nonempty value.\n   */\n\n  var xor = typed('xor', {\n    'number, number': function numberNumber(x, y) {\n      return !!x !== !!y;\n    },\n    'Complex, Complex': function ComplexComplex(x, y) {\n      return (x.re !== 0 || x.im !== 0) !== (y.re !== 0 || y.im !== 0);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return (!x.isZero() && !x.isNaN()) !== (!y.isZero() && !y.isNaN());\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      return xor(x.value || 0, y.value || 0);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm07(x, y, xor);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, xor, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, xor, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, xor);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return xor(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return xor(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return xor(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm12(x, y, xor, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, xor, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, xor, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, xor, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, xor, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, xor, true).valueOf();\n    }\n  });\n  xor.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['xor'], \"${args[1]}\\\\right)\")\n  };\n  return xor;\n}\n\nexports.name = 'xor';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./concat'), require('./cross'), require('./ctranspose'), require('./det'), require('./diag'), require('./dot'), require('./eye'), require('./expm'), require('./filter'), require('./flatten'), require('./forEach'), require('./identity'), require('./inv'), require('./kron'), require('./map'), require('./ones'), require('./partitionSelect'), require('./range'), require('./reshape'), require('./resize'), require('./size'), require('./sort'), require('./sqrtm'), require('./squeeze'), require('./subset'), require('./trace'), require('./transpose'), require('./zeros'), require('./getMatrixDataType')];","'use strict';\n\nvar array = require('../../utils/array');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var subtract = load(require('../arithmetic/subtract'));\n  var multiply = load(require('../arithmetic/multiply'));\n  /**\n   * Calculate the cross product for two vectors in three dimensional space.\n   * The cross product of `A = [a1, a2, a3]` and `B = [b1, b2, b3]` is defined\n   * as:\n   *\n   *    cross(A, B) = [\n   *      a2 * b3 - a3 * b2,\n   *      a3 * b1 - a1 * b3,\n   *      a1 * b2 - a2 * b1\n   *    ]\n   *\n   * If one of the input vectors has a dimension greater than 1, the output\n   * vector will be a 1x3 (2-dimensional) matrix.\n   *\n   * Syntax:\n   *\n   *    math.cross(x, y)\n   *\n   * Examples:\n   *\n   *    math.cross([1, 1, 0],   [0, 1, 1])       // Returns [1, -1, 1]\n   *    math.cross([3, -3, 1],  [4, 9, 2])       // Returns [-15, -2, 39]\n   *    math.cross([2, 3, 4],   [5, 6, 7])       // Returns [-3, 6, -3]\n   *    math.cross([[1, 2, 3]], [[4], [5], [6]]) // Returns [[-3, 6, -3]]\n   *\n   * See also:\n   *\n   *    dot, multiply\n   *\n   * @param  {Array | Matrix} x   First vector\n   * @param  {Array | Matrix} y   Second vector\n   * @return {Array | Matrix}     Returns the cross product of `x` and `y`\n   */\n\n  var cross = typed('cross', {\n    'Matrix, Matrix': function MatrixMatrix(x, y) {\n      return matrix(_cross(x.toArray(), y.toArray()));\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      return matrix(_cross(x.toArray(), y));\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      return matrix(_cross(x, y.toArray()));\n    },\n    'Array, Array': _cross\n  });\n  cross.toTex = {\n    2: \"\\\\left(${args[0]}\\\\right)\\\\times\\\\left(${args[1]}\\\\right)\"\n  };\n  return cross;\n  /**\n   * Calculate the cross product for two arrays\n   * @param {Array} x  First vector\n   * @param {Array} y  Second vector\n   * @returns {Array} Returns the cross product of x and y\n   * @private\n   */\n\n  function _cross(x, y) {\n    var highestDimension = Math.max(array.size(x).length, array.size(y).length);\n    x = array.squeeze(x);\n    y = array.squeeze(y);\n    var xSize = array.size(x);\n    var ySize = array.size(y);\n\n    if (xSize.length !== 1 || ySize.length !== 1 || xSize[0] !== 3 || ySize[0] !== 3) {\n      throw new RangeError('Vectors with length 3 expected ' + '(Size A = [' + xSize.join(', ') + '], B = [' + ySize.join(', ') + '])');\n    }\n\n    var product = [subtract(multiply(x[1], y[2]), multiply(x[2], y[1])), subtract(multiply(x[2], y[0]), multiply(x[0], y[2])), subtract(multiply(x[0], y[1]), multiply(x[1], y[0]))];\n\n    if (highestDimension > 1) {\n      return [product];\n    } else {\n      return product;\n    }\n  }\n}\n\nexports.name = 'cross';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var transpose = load(require('./transpose'));\n  var conj = load(require('../complex/conj'));\n\n  var latex = require('../../utils/latex');\n  /**\n   * Transpose and complex conjugate a matrix. All values of the matrix are\n   * reflected over its main diagonal and then the complex conjugate is\n   * taken. This is equivalent to complex conjugation for scalars and\n   * vectors.\n   *\n   * Syntax:\n   *\n   *     math.ctranspose(x)\n   *\n   * Examples:\n   *\n   *     const A = [[1, 2, 3], [4, 5, math.complex(6,7)]]\n   *     math.ctranspose(A)               // returns [[1, 4], [2, 5], [3, {re:6,im:7}]]\n   *\n   * See also:\n   *\n   *     transpose, diag, inv, subset, squeeze\n   *\n   * @param {Array | Matrix} x  Matrix to be ctransposed\n   * @return {Array | Matrix}   The ctransposed matrix\n   */\n\n\n  var ctranspose = typed('ctranspose', {\n    'any': function any(x) {\n      return conj(transpose(x));\n    }\n  });\n  ctranspose.toTex = {\n    1: \"\\\\left(${args[0]}\\\\right)\".concat(latex.operators['ctranspose'])\n  };\n  return ctranspose;\n}\n\nexports.name = 'ctranspose';\nexports.factory = factory;","'use strict';\n\nvar array = require('../../utils/array');\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Create a diagonal matrix or retrieve the diagonal of a matrix\n   *\n   * When `x` is a vector, a matrix with vector `x` on the diagonal will be returned.\n   * When `x` is a two dimensional matrix, the matrixes `k`th diagonal will be returned as vector.\n   * When k is positive, the values are placed on the super diagonal.\n   * When k is negative, the values are placed on the sub diagonal.\n   *\n   * Syntax:\n   *\n   *     math.diag(X)\n   *     math.diag(X, format)\n   *     math.diag(X, k)\n   *     math.diag(X, k, format)\n   *\n   * Examples:\n   *\n   *     // create a diagonal matrix\n   *     math.diag([1, 2, 3])      // returns [[1, 0, 0], [0, 2, 0], [0, 0, 3]]\n   *     math.diag([1, 2, 3], 1)   // returns [[0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 3]]\n   *     math.diag([1, 2, 3], -1)  // returns [[0, 0, 0], [1, 0, 0], [0, 2, 0], [0, 0, 3]]\n   *\n   *    // retrieve the diagonal from a matrix\n   *    const a = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]\n   *    math.diag(a)   // returns [1, 5, 9]\n   *\n   * See also:\n   *\n   *     ones, zeros, identity\n   *\n   * @param {Matrix | Array} x          A two dimensional matrix or a vector\n   * @param {number | BigNumber} [k=0]  The diagonal where the vector will be filled\n   *                                    in or retrieved.\n   * @param {string} [format='dense']   The matrix storage format.\n   *\n   * @returns {Matrix | Array} Diagonal matrix from input vector, or diagonal from input matrix.\n   */\n\n  var diag = typed('diag', {\n    // FIXME: simplify this huge amount of signatures as soon as typed-function supports optional arguments\n    'Array': function Array(x) {\n      return _diag(x, 0, array.size(x), null);\n    },\n    'Array, number': function ArrayNumber(x, k) {\n      return _diag(x, k, array.size(x), null);\n    },\n    'Array, BigNumber': function ArrayBigNumber(x, k) {\n      return _diag(x, k.toNumber(), array.size(x), null);\n    },\n    'Array, string': function ArrayString(x, format) {\n      return _diag(x, 0, array.size(x), format);\n    },\n    'Array, number, string': function ArrayNumberString(x, k, format) {\n      return _diag(x, k, array.size(x), format);\n    },\n    'Array, BigNumber, string': function ArrayBigNumberString(x, k, format) {\n      return _diag(x, k.toNumber(), array.size(x), format);\n    },\n    'Matrix': function Matrix(x) {\n      return _diag(x, 0, x.size(), x.storage());\n    },\n    'Matrix, number': function MatrixNumber(x, k) {\n      return _diag(x, k, x.size(), x.storage());\n    },\n    'Matrix, BigNumber': function MatrixBigNumber(x, k) {\n      return _diag(x, k.toNumber(), x.size(), x.storage());\n    },\n    'Matrix, string': function MatrixString(x, format) {\n      return _diag(x, 0, x.size(), format);\n    },\n    'Matrix, number, string': function MatrixNumberString(x, k, format) {\n      return _diag(x, k, x.size(), format);\n    },\n    'Matrix, BigNumber, string': function MatrixBigNumberString(x, k, format) {\n      return _diag(x, k.toNumber(), x.size(), format);\n    }\n  });\n  diag.toTex = undefined; // use default template\n\n  return diag;\n  /**\n   * Creeate diagonal matrix from a vector or vice versa\n   * @param {Array | Matrix} x\n   * @param {number} k\n   * @param {string} format Storage format for matrix. If null,\n   *                          an Array is returned\n   * @returns {Array | Matrix}\n   * @private\n   */\n\n  function _diag(x, k, size, format) {\n    if (!isInteger(k)) {\n      throw new TypeError('Second parameter in function diag must be an integer');\n    }\n\n    var kSuper = k > 0 ? k : 0;\n    var kSub = k < 0 ? -k : 0; // check dimensions\n\n    switch (size.length) {\n      case 1:\n        return _createDiagonalMatrix(x, k, format, size[0], kSub, kSuper);\n\n      case 2:\n        return _getDiagonal(x, k, format, size, kSub, kSuper);\n    }\n\n    throw new RangeError('Matrix for function diag must be 2 dimensional');\n  }\n\n  function _createDiagonalMatrix(x, k, format, l, kSub, kSuper) {\n    // matrix size\n    var ms = [l + kSub, l + kSuper]; // get matrix constructor\n\n    var F = type.Matrix.storage(format || 'dense'); // create diagonal matrix\n\n    var m = F.diagonal(ms, x, k); // check we need to return a matrix\n\n    return format !== null ? m : m.valueOf();\n  }\n\n  function _getDiagonal(x, k, format, s, kSub, kSuper) {\n    // check x is a Matrix\n    if (type.isMatrix(x)) {\n      // get diagonal matrix\n      var dm = x.diagonal(k); // check we need to return a matrix\n\n      if (format !== null) {\n        // check we need to change matrix format\n        if (format !== dm.storage()) {\n          return matrix(dm, format);\n        }\n\n        return dm;\n      }\n\n      return dm.valueOf();\n    } // vector size\n\n\n    var n = Math.min(s[0] - kSub, s[1] - kSuper); // diagonal values\n\n    var vector = []; // loop diagonal\n\n    for (var i = 0; i < n; i++) {\n      vector[i] = x[i + kSub][i + kSuper];\n    } // check we need to return a matrix\n\n\n    return format !== null ? matrix(vector) : vector;\n  }\n}\n\nexports.name = 'diag';\nexports.factory = factory;","'use strict';\n\nvar size = require('../../utils/array').size;\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/add'));\n  var multiply = load(require('../arithmetic/multiply'));\n  /**\n   * Calculate the dot product of two vectors. The dot product of\n   * `A = [a1, a2, a3, ..., an]` and `B = [b1, b2, b3, ..., bn]` is defined as:\n   *\n   *    dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn\n   *\n   * Syntax:\n   *\n   *    math.dot(x, y)\n   *\n   * Examples:\n   *\n   *    math.dot([2, 4, 1], [2, 2, 3])       // returns number 15\n   *    math.multiply([2, 4, 1], [2, 2, 3])  // returns number 15\n   *\n   * See also:\n   *\n   *    multiply, cross\n   *\n   * @param  {Array | Matrix} x     First vector\n   * @param  {Array | Matrix} y     Second vector\n   * @return {number}               Returns the dot product of `x` and `y`\n   */\n\n  var dot = typed('dot', {\n    'Matrix, Matrix': function MatrixMatrix(x, y) {\n      return _dot(x.toArray(), y.toArray());\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      return _dot(x.toArray(), y);\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      return _dot(x, y.toArray());\n    },\n    'Array, Array': _dot\n  });\n  dot.toTex = {\n    2: \"\\\\left(${args[0]}\\\\cdot${args[1]}\\\\right)\"\n  };\n  return dot;\n  /**\n   * Calculate the dot product for two arrays\n   * @param {Array} x  First vector\n   * @param {Array} y  Second vector\n   * @returns {number} Returns the dot product of x and y\n   * @private\n   */\n  // TODO: double code with math.multiply\n\n  function _dot(x, y) {\n    var xSize = size(x);\n    var ySize = size(y);\n    var len = xSize[0];\n    if (xSize.length !== 1 || ySize.length !== 1) throw new RangeError('Vector expected'); // TODO: better error message\n\n    if (xSize[0] !== ySize[0]) throw new RangeError('Vectors must have equal length (' + xSize[0] + ' != ' + ySize[0] + ')');\n    if (len === 0) throw new RangeError('Cannot calculate the dot product of empty vectors');\n    var prod = 0;\n\n    for (var i = 0; i < len; i++) {\n      prod = add(prod, multiply(x[i], y[i]));\n    }\n\n    return prod;\n  }\n}\n\nexports.name = 'dot';\nexports.factory = factory;","'use strict'; // TODO: function eye is removed since v5.0.0 (June 2018). Remove it some day.\n\nfunction factory(type, config, load, typed) {\n  return function eye() {\n    throw new Error('Function \"eye\" is renamed to \"identity\" since mathjs version 5.0.0. ' + 'To keep eye working, create an alias for it using \"math.import({eye: math.identity}, {override: true})\"');\n  };\n}\n\nexports.name = 'eye';\nexports.factory = factory;","'use strict';\n\nvar format = require('../../utils/string').format;\n\nfunction factory(type, config, load, typed) {\n  var abs = load(require('../arithmetic/abs'));\n  var add = load(require('../arithmetic/add'));\n  var identity = load(require('./identity'));\n  var inv = load(require('./inv'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var SparseMatrix = type.SparseMatrix;\n  /**\n   * Compute the matrix exponential, expm(A) = e^A. The matrix must be square.\n   * Not to be confused with exp(a), which performs element-wise\n   * exponentiation.\n   *\n   * The exponential is calculated using the Padé approximant with scaling and\n   * squaring; see \"Nineteen Dubious Ways to Compute the Exponential of a\n   * Matrix,\" by Moler and Van Loan.\n   *\n   * Syntax:\n   *\n   *     math.expm(x)\n   *\n   * Examples:\n   *\n   *     const A = [[0,2],[0,0]]\n   *     math.expm(A)        // returns [[1,2],[0,1]]\n   *\n   * See also:\n   *\n   *     exp\n   *\n   * @param {Matrix} x  A square Matrix\n   * @return {Matrix}   The exponential of x\n   */\n\n  var expm = typed('expm', {\n    'Matrix': function Matrix(A) {\n      // Check matrix size\n      var size = A.size();\n\n      if (size.length !== 2 || size[0] !== size[1]) {\n        throw new RangeError('Matrix must be square ' + '(size: ' + format(size) + ')');\n      }\n\n      var n = size[0]; // Desired accuracy of the approximant (The actual accuracy\n      // will be affected by round-off error)\n\n      var eps = 1e-15; // The Padé approximant is not so accurate when the values of A\n      // are \"large\", so scale A by powers of two. Then compute the\n      // exponential, and square the result repeatedly according to\n      // the identity e^A = (e^(A/m))^m\n      // Compute infinity-norm of A, ||A||, to see how \"big\" it is\n\n      var infNorm = infinityNorm(A); // Find the optimal scaling factor and number of terms in the\n      // Padé approximant to reach the desired accuracy\n\n      var params = findParams(infNorm, eps);\n      var q = params.q;\n      var j = params.j; // The Pade approximation to e^A is:\n      // Rqq(A) = Dqq(A) ^ -1 * Nqq(A)\n      // where\n      // Nqq(A) = sum(i=0, q, (2q-i)!p! / [ (2q)!i!(q-i)! ] A^i\n      // Dqq(A) = sum(i=0, q, (2q-i)!q! / [ (2q)!i!(q-i)! ] (-A)^i\n      // Scale A by 1 / 2^j\n\n      var Apos = multiply(A, Math.pow(2, -j)); // The i=0 term is just the identity matrix\n\n      var N = identity(n);\n      var D = identity(n); // Initialization (i=0)\n\n      var factor = 1; // Initialization (i=1)\n\n      var AposToI = Apos; // Cloning not necessary\n\n      var alternate = -1;\n\n      for (var i = 1; i <= q; i++) {\n        if (i > 1) {\n          AposToI = multiply(AposToI, Apos);\n          alternate = -alternate;\n        }\n\n        factor = factor * (q - i + 1) / ((2 * q - i + 1) * i);\n        N = add(N, multiply(factor, AposToI));\n        D = add(D, multiply(factor * alternate, AposToI));\n      }\n\n      var R = multiply(inv(D), N); // Square j times\n\n      for (var _i = 0; _i < j; _i++) {\n        R = multiply(R, R);\n      }\n\n      return type.isSparseMatrix(A) ? new SparseMatrix(R) : R;\n    }\n  });\n\n  function infinityNorm(A) {\n    var n = A.size()[0];\n    var infNorm = 0;\n\n    for (var i = 0; i < n; i++) {\n      var rowSum = 0;\n\n      for (var j = 0; j < n; j++) {\n        rowSum += abs(A.get([i, j]));\n      }\n\n      infNorm = Math.max(rowSum, infNorm);\n    }\n\n    return infNorm;\n  }\n  /**\n   * Find the best parameters for the Pade approximant given\n   * the matrix norm and desired accuracy. Returns the first acceptable\n   * combination in order of increasing computational load.\n   */\n\n\n  function findParams(infNorm, eps) {\n    var maxSearchSize = 30;\n\n    for (var k = 0; k < maxSearchSize; k++) {\n      for (var q = 0; q <= k; q++) {\n        var j = k - q;\n\n        if (errorEstimate(infNorm, q, j) < eps) {\n          return {\n            q: q,\n            j: j\n          };\n        }\n      }\n    }\n\n    throw new Error('Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)');\n  }\n  /**\n   * Returns the estimated error of the Pade approximant for the given\n   * parameters.\n   */\n\n\n  function errorEstimate(infNorm, q, j) {\n    var qfac = 1;\n\n    for (var i = 2; i <= q; i++) {\n      qfac *= i;\n    }\n\n    var twoqfac = qfac;\n\n    for (var _i2 = q + 1; _i2 <= 2 * q; _i2++) {\n      twoqfac *= _i2;\n    }\n\n    var twoqp1fac = twoqfac * (2 * q + 1);\n    return 8.0 * Math.pow(infNorm / Math.pow(2, j), 2 * q) * qfac * qfac / (twoqfac * twoqp1fac);\n  }\n\n  expm.toTex = {\n    1: \"\\\\exp\\\\left(${args[0]}\\\\right)\"\n  };\n  return expm;\n}\n\nexports.name = 'expm';\nexports.factory = factory;","'use strict';\n\nvar filter = require('../../utils/array').filter;\n\nvar filterRegExp = require('../../utils/array').filterRegExp;\n\nvar maxArgumentCount = require('../../utils/function').maxArgumentCount;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Filter the items in an array or one dimensional matrix.\n   *\n   * Syntax:\n   *\n   *    math.filter(x, test)\n   *\n   * Examples:\n   *\n   *    function isPositive (x) {\n   *      return x > 0\n   *    }\n   *    math.filter([6, -2, -1, 4, 3], isPositive) // returns [6, 4, 3]\n   *\n   *    math.filter([\"23\", \"foo\", \"100\", \"55\", \"bar\"], /[0-9]+/) // returns [\"23\", \"100\", \"55\"]\n   *\n   * See also:\n   *\n   *    forEach, map, sort\n   *\n   * @param {Matrix | Array} x    A one dimensional matrix or array to filter\n   * @param {Function | RegExp} test\n   *        A function or regular expression to test items.\n   *        All entries for which `test` returns true are returned.\n   *        When `test` is a function, it is invoked with three parameters:\n   *        the value of the element, the index of the element, and the\n   *        matrix/array being traversed. The function must return a boolean.\n   * @return {Matrix | Array} Returns the filtered matrix.\n   */\n\n  var filter = typed('filter', {\n    'Array, function': _filterCallback,\n    'Matrix, function': function MatrixFunction(x, test) {\n      return matrix(_filterCallback(x.toArray(), test));\n    },\n    'Array, RegExp': filterRegExp,\n    'Matrix, RegExp': function MatrixRegExp(x, test) {\n      return matrix(filterRegExp(x.toArray(), test));\n    }\n  });\n  filter.toTex = undefined; // use default template\n\n  return filter;\n}\n/**\n * Filter values in a callback given a callback function\n * @param {Array} x\n * @param {Function} callback\n * @return {Array} Returns the filtered array\n * @private\n */\n\n\nfunction _filterCallback(x, callback) {\n  // figure out what number of arguments the callback function expects\n  var args = maxArgumentCount(callback);\n  return filter(x, function (value, index, array) {\n    // invoke the callback function with the right number of arguments\n    if (args === 1) {\n      return callback(value);\n    } else if (args === 2) {\n      return callback(value, [index]);\n    } else {\n      // 3 or -1\n      return callback(value, [index], array);\n    }\n  });\n}\n\nexports.name = 'filter';\nexports.factory = factory;","'use strict';\n\nvar clone = require('../../utils/object').clone;\n\nvar _flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Flatten a multi dimensional matrix into a single dimensional matrix.\n   *\n   * Syntax:\n   *\n   *    math.flatten(x)\n   *\n   * Examples:\n   *\n   *    math.flatten([[1,2], [3,4]])   // returns [1, 2, 3, 4]\n   *\n   * See also:\n   *\n   *    concat, resize, size, squeeze\n   *\n   * @param {Matrix | Array} x   Matrix to be flattened\n   * @return {Matrix | Array} Returns the flattened matrix\n   */\n\n  var flatten = typed('flatten', {\n    'Array': function Array(x) {\n      return _flatten(clone(x));\n    },\n    'Matrix': function Matrix(x) {\n      var flat = _flatten(clone(x.toArray())); // TODO: return the same matrix type as x\n\n\n      return matrix(flat);\n    }\n  });\n  flatten.toTex = undefined; // use default template\n\n  return flatten;\n}\n\nexports.name = 'flatten';\nexports.factory = factory;","'use strict';\n\nvar maxArgumentCount = require('../../utils/function').maxArgumentCount;\n\nvar forEach = require('../../utils/array').forEach;\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Iterate over all elements of a matrix/array, and executes the given callback function.\n   *\n   * Syntax:\n   *\n   *    math.forEach(x, callback)\n   *\n   * Examples:\n   *\n   *    math.forEach([1, 2, 3], function(value) {\n   *      console.log(value)\n   *    })\n   *    // outputs 1, 2, 3\n   *\n   * See also:\n   *\n   *    filter, map, sort\n   *\n   * @param {Matrix | Array} x    The matrix to iterate on.\n   * @param {Function} callback   The callback function is invoked with three\n   *                              parameters: the value of the element, the index\n   *                              of the element, and the Matrix/array being traversed.\n   */\n  var forEach = typed('forEach', {\n    'Array, function': _forEach,\n    'Matrix, function': function MatrixFunction(x, callback) {\n      return x.forEach(callback);\n    }\n  });\n  forEach.toTex = undefined; // use default template\n\n  return forEach;\n}\n/**\n * forEach for a multi dimensional array\n * @param {Array} array\n * @param {Function} callback\n * @private\n */\n\n\nfunction _forEach(array, callback) {\n  // figure out what number of arguments the callback function expects\n  var args = maxArgumentCount(callback);\n\n  var recurse = function recurse(value, index) {\n    if (Array.isArray(value)) {\n      forEach(value, function (child, i) {\n        // we create a copy of the index array and append the new index value\n        recurse(child, index.concat(i));\n      });\n    } else {\n      // invoke the callback function with the right number of arguments\n      if (args === 1) {\n        callback(value);\n      } else if (args === 2) {\n        callback(value, index);\n      } else {\n        // 3 or -1\n        callback(value, index, array);\n      }\n    }\n  };\n\n  recurse(array, []);\n}\n\nexports.name = 'forEach';\nexports.factory = factory;","'use strict';\n\nvar size = require('../../utils/array').size;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var multiplyScalar = load(require('../arithmetic/multiplyScalar'));\n  /**\n     * Calculates the kronecker product of 2 matrices or vectors.\n     *\n     * NOTE: If a one dimensional vector / matrix is given, it will be\n     * wrapped so its two dimensions.\n     * See the examples.\n     *\n     * Syntax:\n     *\n     *    math.kron(x, y)\n     *\n     * Examples:\n     *\n     *    math.kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])\n     *    // returns [ [ 1, 2, 0, 0 ], [ 3, 4, 0, 0 ], [ 0, 0, 1, 2 ], [ 0, 0, 3, 4 ] ]\n     *\n     *    math.kron([1,1], [2,3,4])\n     *    // returns [ [ 2, 3, 4, 2, 3, 4 ] ]\n     *\n     * See also:\n     *\n     *    multiply, dot, cross\n     *\n     * @param  {Array | Matrix} x     First vector\n     * @param  {Array | Matrix} y     Second vector\n     * @return {Array | Matrix}       Returns the kronecker product of `x` and `y`\n     */\n\n  var kron = typed('kron', {\n    'Matrix, Matrix': function MatrixMatrix(x, y) {\n      return matrix(_kron(x.toArray(), y.toArray()));\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      return matrix(_kron(x.toArray(), y));\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      return matrix(_kron(x, y.toArray()));\n    },\n    'Array, Array': _kron\n  });\n  return kron;\n  /**\n     * Calculate the kronecker product of two matrices / vectors\n     * @param {Array} a  First vector\n     * @param {Array} b  Second vector\n     * @returns {Array} Returns the kronecker product of x and y\n     * @private\n     */\n\n  function _kron(a, b) {\n    // Deal with the dimensions of the matricies.\n    if (size(a).length === 1) {\n      // Wrap it in a 2D Matrix\n      a = [a];\n    }\n\n    if (size(b).length === 1) {\n      // Wrap it in a 2D Matrix\n      b = [b];\n    }\n\n    if (size(a).length > 2 || size(b).length > 2) {\n      throw new RangeError('Vectors with dimensions greater then 2 are not supported expected ' + '(Size x = ' + JSON.stringify(a.length) + ', y = ' + JSON.stringify(b.length) + ')');\n    }\n\n    var t = [];\n    var r = [];\n    return a.map(function (a) {\n      return b.map(function (b) {\n        r = [];\n        t.push(r);\n        return a.map(function (y) {\n          return b.map(function (x) {\n            return r.push(multiplyScalar(y, x));\n          });\n        });\n      });\n    }) && t;\n  }\n}\n\nexports.name = 'kron';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar resize = require('../../utils/array').resize;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Create a matrix filled with ones. The created matrix can have one or\n   * multiple dimensions.\n   *\n   * Syntax:\n   *\n   *    math.ones(m)\n   *    math.ones(m, format)\n   *    math.ones(m, n)\n   *    math.ones(m, n, format)\n   *    math.ones([m, n])\n   *    math.ones([m, n], format)\n   *    math.ones([m, n, p, ...])\n   *    math.ones([m, n, p, ...], format)\n   *\n   * Examples:\n   *\n   *    math.ones(3)                   // returns [1, 1, 1]\n   *    math.ones(3, 2)                // returns [[1, 1], [1, 1], [1, 1]]\n   *    math.ones(3, 2, 'dense')       // returns Dense Matrix [[1, 1], [1, 1], [1, 1]]\n   *\n   *    const A = [[1, 2, 3], [4, 5, 6]]\n   *    math.ones(math.size(A))       // returns [[1, 1, 1], [1, 1, 1]]\n   *\n   * See also:\n   *\n   *    zeros, identity, size, range\n   *\n   * @param {...number | Array} size    The size of each dimension of the matrix\n   * @param {string} [format]           The Matrix storage format\n   *\n   * @return {Array | Matrix | number}  A matrix filled with ones\n   */\n\n  var ones = typed('ones', {\n    '': function _() {\n      return config.matrix === 'Array' ? _ones([]) : _ones([], 'default');\n    },\n    // math.ones(m, n, p, ..., format)\n    // TODO: more accurate signature '...number | BigNumber, string' as soon as typed-function supports this\n    '...number | BigNumber | string': function numberBigNumberString(size) {\n      var last = size[size.length - 1];\n\n      if (typeof last === 'string') {\n        var format = size.pop();\n        return _ones(size, format);\n      } else if (config.matrix === 'Array') {\n        return _ones(size);\n      } else {\n        return _ones(size, 'default');\n      }\n    },\n    'Array': _ones,\n    'Matrix': function Matrix(size) {\n      var format = size.storage();\n      return _ones(size.valueOf(), format);\n    },\n    'Array | Matrix, string': function ArrayMatrixString(size, format) {\n      return _ones(size.valueOf(), format);\n    }\n  });\n  ones.toTex = undefined; // use default template\n\n  return ones;\n  /**\n   * Create an Array or Matrix with ones\n   * @param {Array} size\n   * @param {string} [format='default']\n   * @return {Array | Matrix}\n   * @private\n   */\n\n  function _ones(size, format) {\n    var hasBigNumbers = _normalize(size);\n\n    var defaultValue = hasBigNumbers ? new type.BigNumber(1) : 1;\n\n    _validate(size);\n\n    if (format) {\n      // return a matrix\n      var m = matrix(format);\n\n      if (size.length > 0) {\n        return m.resize(size, defaultValue);\n      }\n\n      return m;\n    } else {\n      // return an Array\n      var arr = [];\n\n      if (size.length > 0) {\n        return resize(arr, size, defaultValue);\n      }\n\n      return arr;\n    }\n  } // replace BigNumbers with numbers, returns true if size contained BigNumbers\n\n\n  function _normalize(size) {\n    var hasBigNumbers = false;\n    size.forEach(function (value, index, arr) {\n      if (type.isBigNumber(value)) {\n        hasBigNumbers = true;\n        arr[index] = value.toNumber();\n      }\n    });\n    return hasBigNumbers;\n  } // validate arguments\n\n\n  function _validate(size) {\n    size.forEach(function (value) {\n      if (typeof value !== 'number' || !isInteger(value) || value < 0) {\n        throw new Error('Parameters in function ones must be positive integers');\n      }\n    });\n  }\n}\n\nexports.name = 'ones';\nexports.factory = factory;","'use strict';\n\nvar array = require('../../utils/array');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var isInteger = load(require('../utils/isInteger'));\n  /**\n   * Reshape a multi dimensional array to fit the specified dimensions\n   *\n   * Syntax:\n   *\n   *     math.reshape(x, sizes)\n   *\n   * Examples:\n   *\n   *     math.reshape([1, 2, 3, 4, 5, 6], [2, 3])\n   *     // returns Array  [[1, 2, 3], [4, 5, 6]]\n   *\n   *     math.reshape([[1, 2], [3, 4]], [1, 4])\n   *     // returns Array  [[1, 2, 3, 4]]\n   *\n   *     math.reshape([[1, 2], [3, 4]], [4])\n   *     // returns Array [1, 2, 3, 4]\n   *\n   *     const x = math.matrix([1, 2, 3, 4, 5, 6, 7, 8])\n   *     math.reshape(x, [2, 2, 2])\n   *     // returns Matrix [[[1, 2], [3, 4]], [[5, 6], [7, 8]]]\n   *\n   * See also:\n   *\n   *     size, squeeze, resize\n   *\n   * @param {Array | Matrix | *} x  Matrix to be reshaped\n   * @param {number[]} sizes        One dimensional array with integral sizes for\n   *                                each dimension\n   *\n   * @return {* | Array | Matrix}   A reshaped clone of matrix `x`\n   *\n   * @throws {TypeError}            If `sizes` does not contain solely integers\n   * @throws {DimensionError}       If the product of the new dimension sizes does\n   *                                not equal that of the old ones\n   */\n\n  var reshape = typed('reshape', {\n    'Matrix, Array': function MatrixArray(x, sizes) {\n      if (x.reshape) {\n        return x.reshape(sizes);\n      } else {\n        return matrix(array.reshape(x.valueOf(), sizes));\n      }\n    },\n    'Array, Array': function ArrayArray(x, sizes) {\n      sizes.forEach(function (size) {\n        if (!isInteger(size)) {\n          throw new TypeError('Invalid size for dimension: ' + size);\n        }\n      });\n      return array.reshape(x, sizes);\n    }\n  });\n  reshape.toTex = undefined; // use default template\n\n  return reshape;\n}\n\nexports.name = 'reshape';\nexports.factory = factory;","'use strict';\n\nvar DimensionError = require('../../error/DimensionError');\n\nvar ArgumentsError = require('../../error/ArgumentsError');\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar format = require('../../utils/string').format;\n\nvar clone = require('../../utils/object').clone;\n\nvar array = require('../../utils/array');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Resize a matrix\n   *\n   * Syntax:\n   *\n   *     math.resize(x, size)\n   *     math.resize(x, size, defaultValue)\n   *\n   * Examples:\n   *\n   *     math.resize([1, 2, 3, 4, 5], [3]) // returns Array  [1, 2, 3]\n   *     math.resize([1, 2, 3], [5], 0)    // returns Array  [1, 2, 3, 0, 0]\n   *     math.resize(2, [2, 3], 0)         // returns Matrix [[2, 0, 0], [0, 0, 0]]\n   *     math.resize(\"hello\", [8], \"!\")    // returns string 'hello!!!'\n   *\n   * See also:\n   *\n   *     size, squeeze, subset, reshape\n   *\n   * @param {Array | Matrix | *} x             Matrix to be resized\n   * @param {Array | Matrix} size              One dimensional array with numbers\n   * @param {number | string} [defaultValue=0] Zero by default, except in\n   *                                           case of a string, in that case\n   *                                           defaultValue = ' '\n   * @return {* | Array | Matrix} A resized clone of matrix `x`\n   */\n  // TODO: rework resize to a typed-function\n\n  var resize = function resize(x, size, defaultValue) {\n    if (arguments.length !== 2 && arguments.length !== 3) {\n      throw new ArgumentsError('resize', arguments.length, 2, 3);\n    }\n\n    if (type.isMatrix(size)) {\n      size = size.valueOf(); // get Array\n    }\n\n    if (type.isBigNumber(size[0])) {\n      // convert bignumbers to numbers\n      size = size.map(function (value) {\n        return type.isBigNumber(value) ? value.toNumber() : value;\n      });\n    } // check x is a Matrix\n\n\n    if (type.isMatrix(x)) {\n      // use optimized matrix implementation, return copy\n      return x.resize(size, defaultValue, true);\n    }\n\n    if (typeof x === 'string') {\n      // resize string\n      return _resizeString(x, size, defaultValue);\n    } // check result should be a matrix\n\n\n    var asMatrix = Array.isArray(x) ? false : config.matrix !== 'Array';\n\n    if (size.length === 0) {\n      // output a scalar\n      while (Array.isArray(x)) {\n        x = x[0];\n      }\n\n      return clone(x);\n    } else {\n      // output an array/matrix\n      if (!Array.isArray(x)) {\n        x = [x];\n      }\n\n      x = clone(x);\n      var res = array.resize(x, size, defaultValue);\n      return asMatrix ? matrix(res) : res;\n    }\n  };\n\n  resize.toTex = undefined; // use default template\n\n  return resize;\n  /**\n   * Resize a string\n   * @param {string} str\n   * @param {number[]} size\n   * @param {string} [defaultChar=' ']\n   * @private\n   */\n\n  function _resizeString(str, size, defaultChar) {\n    if (defaultChar !== undefined) {\n      if (typeof defaultChar !== 'string' || defaultChar.length !== 1) {\n        throw new TypeError('Single character expected as defaultValue');\n      }\n    } else {\n      defaultChar = ' ';\n    }\n\n    if (size.length !== 1) {\n      throw new DimensionError(size.length, 1);\n    }\n\n    var len = size[0];\n\n    if (typeof len !== 'number' || !isInteger(len)) {\n      throw new TypeError('Invalid size, must contain positive integers ' + '(size: ' + format(size) + ')');\n    }\n\n    if (str.length > len) {\n      return str.substring(0, len);\n    } else if (str.length < len) {\n      var res = str;\n\n      for (var i = 0, ii = len - str.length; i < ii; i++) {\n        res += defaultChar;\n      }\n\n      return res;\n    } else {\n      return str;\n    }\n  }\n}\n\nexports.name = 'resize';\nexports.factory = factory;","'use strict';\n\nvar size = require('../../utils/array').size;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var compareAsc = load(require('../relational/compare'));\n\n  var compareDesc = function compareDesc(a, b) {\n    return -compareAsc(a, b);\n  };\n\n  var compareNatural = load(require('../relational/compareNatural'));\n  /**\n   * Sort the items in a matrix.\n   *\n   * Syntax:\n   *\n   *    math.sort(x)\n   *    math.sort(x, compare)\n   *\n   * Examples:\n   *\n   *    math.sort([5, 10, 1]) // returns [1, 5, 10]\n   *    math.sort(['C', 'B', 'A', 'D'], math.compareNatural)\n   *    // returns ['A', 'B', 'C', 'D']\n   *\n   *    function sortByLength (a, b) {\n   *      return a.length - b.length\n   *    }\n   *    math.sort(['Langdon', 'Tom', 'Sara'], sortByLength)\n   *    // returns ['Tom', 'Sara', 'Langdon']\n   *\n   * See also:\n   *\n   *    filter, forEach, map, compare, compareNatural\n   *\n   * @param {Matrix | Array} x    A one dimensional matrix or array to sort\n   * @param {Function | 'asc' | 'desc' | 'natural'} [compare='asc']\n   *        An optional _comparator function or name. The function is called as\n   *        `compare(a, b)`, and must return 1 when a > b, -1 when a < b,\n   *        and 0 when a == b.\n   * @return {Matrix | Array} Returns the sorted matrix.\n   */\n\n  var sort = typed('sort', {\n    'Array': function Array(x) {\n      _arrayIsVector(x);\n\n      return x.sort(compareAsc);\n    },\n    'Matrix': function Matrix(x) {\n      _matrixIsVector(x);\n\n      return matrix(x.toArray().sort(compareAsc), x.storage());\n    },\n    'Array, function': function ArrayFunction(x, _comparator) {\n      _arrayIsVector(x);\n\n      return x.sort(_comparator);\n    },\n    'Matrix, function': function MatrixFunction(x, _comparator) {\n      _matrixIsVector(x);\n\n      return matrix(x.toArray().sort(_comparator), x.storage());\n    },\n    'Array, string': function ArrayString(x, order) {\n      _arrayIsVector(x);\n\n      return x.sort(_comparator(order));\n    },\n    'Matrix, string': function MatrixString(x, order) {\n      _matrixIsVector(x);\n\n      return matrix(x.toArray().sort(_comparator(order)), x.storage());\n    }\n  });\n  sort.toTex = undefined; // use default template\n\n  /**\n   * Get the comparator for given order ('asc', 'desc', 'natural')\n   * @param {'asc' | 'desc' | 'natural'} order\n   * @return {Function} Returns a _comparator function\n   */\n\n  function _comparator(order) {\n    if (order === 'asc') {\n      return compareAsc;\n    } else if (order === 'desc') {\n      return compareDesc;\n    } else if (order === 'natural') {\n      return compareNatural;\n    } else {\n      throw new Error('String \"asc\", \"desc\", or \"natural\" expected');\n    }\n  }\n  /**\n   * Validate whether an array is one dimensional\n   * Throws an error when this is not the case\n   * @param {Array} array\n   * @private\n   */\n\n\n  function _arrayIsVector(array) {\n    if (size(array).length !== 1) {\n      throw new Error('One dimensional array expected');\n    }\n  }\n  /**\n   * Validate whether a matrix is one dimensional\n   * Throws an error when this is not the case\n   * @param {Matrix} matrix\n   * @private\n   */\n\n\n  function _matrixIsVector(matrix) {\n    if (matrix.size().length !== 1) {\n      throw new Error('One dimensional matrix expected');\n    }\n  }\n\n  return sort;\n}\n\nexports.name = 'sort';\nexports.factory = factory;","/*\r\n * Natural Sort algorithm for Javascript - Version 0.7 - Released under MIT license\r\n * Author: Jim Palmer (based on chunking idea from Dave Koelle)\r\n */\n\n/*jshint unused:false */\nmodule.exports = function naturalSort(a, b) {\n  \"use strict\";\n\n  var re = /(^([+\\-]?(?:0|[1-9]\\d*)(?:\\.\\d*)?(?:[eE][+\\-]?\\d+)?)?$|^0x[0-9a-f]+$|\\d+)/gi,\n      sre = /(^[ ]*|[ ]*$)/g,\n      dre = /(^([\\w ]+,?[\\w ]+)?[\\w ]+,?[\\w ]+\\d+:\\d+(:\\d+)?[\\w ]?|^\\d{1,4}[\\/\\-]\\d{1,4}[\\/\\-]\\d{1,4}|^\\w+, \\w+ \\d+, \\d{4})/,\n      hre = /^0x[0-9a-f]+$/i,\n      ore = /^0/,\n      i = function i(s) {\n    return naturalSort.insensitive && ('' + s).toLowerCase() || '' + s;\n  },\n      // convert all to strings strip whitespace\n  x = i(a).replace(sre, '') || '',\n      y = i(b).replace(sre, '') || '',\n      // chunk/tokenize\n  xN = x.replace(re, '\\0$1\\0').replace(/\\0$/, '').replace(/^\\0/, '').split('\\0'),\n      yN = y.replace(re, '\\0$1\\0').replace(/\\0$/, '').replace(/^\\0/, '').split('\\0'),\n      // numeric, hex or date detection\n  xD = parseInt(x.match(hre), 16) || xN.length !== 1 && x.match(dre) && Date.parse(x),\n      yD = parseInt(y.match(hre), 16) || xD && y.match(dre) && Date.parse(y) || null,\n      oFxNcL,\n      oFyNcL; // first try and sort Hex codes or Dates\n\n\n  if (yD) {\n    if (xD < yD) {\n      return -1;\n    } else if (xD > yD) {\n      return 1;\n    }\n  } // natural sorting through split numeric strings and default strings\n\n\n  for (var cLoc = 0, numS = Math.max(xN.length, yN.length); cLoc < numS; cLoc++) {\n    // find floats not starting with '0', string or 0 if not defined (Clint Priest)\n    oFxNcL = !(xN[cLoc] || '').match(ore) && parseFloat(xN[cLoc]) || xN[cLoc] || 0;\n    oFyNcL = !(yN[cLoc] || '').match(ore) && parseFloat(yN[cLoc]) || yN[cLoc] || 0; // handle numeric vs string comparison - number < string - (Kyle Adams)\n\n    if (isNaN(oFxNcL) !== isNaN(oFyNcL)) {\n      return isNaN(oFxNcL) ? 1 : -1;\n    } // rely on string comparison if different types - i.e. '02' < 2 != '02' < '2'\n    else if (typeof oFxNcL !== typeof oFyNcL) {\n        oFxNcL += '';\n        oFyNcL += '';\n      }\n\n    if (oFxNcL < oFyNcL) {\n      return -1;\n    }\n\n    if (oFxNcL > oFyNcL) {\n      return 1;\n    }\n  }\n\n  return 0;\n};","'use strict';\n\nvar array = require('../../utils/array');\n\nvar latex = require('../../utils/latex');\n\nvar string = require('../../utils/string');\n\nfunction factory(type, config, load, typed) {\n  var abs = load(require('../arithmetic/abs'));\n  var add = load(require('../arithmetic/add'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var sqrt = load(require('../arithmetic/sqrt'));\n  var subtract = load(require('../arithmetic/subtract'));\n  var inv = load(require('../matrix/inv'));\n  var size = load(require('../matrix/size'));\n  var max = load(require('../statistics/max'));\n  var identity = load(require('./identity'));\n  /**\n   * Calculate the principal square root of a square matrix.\n   * The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.\n   *\n   * https://en.wikipedia.org/wiki/Square_root_of_a_matrix\n   *\n   * Syntax:\n   *\n   *     X = math.sqrtm(A)\n   *\n   * Examples:\n   *\n   *     math.sqrtm([[1, 2], [3, 4]]) // returns [[-2, 1], [1.5, -0.5]]\n   *\n   * See also:\n   *\n   *     sqrt, pow\n   *\n   * @param  {Array | Matrix} A   The square matrix `A`\n   * @return {Array | Matrix}     The principal square root of matrix `A`\n   */\n\n  var sqrtm = typed('sqrtm', {\n    'Array | Matrix': function ArrayMatrix(A) {\n      var size = type.isMatrix(A) ? A.size() : array.size(A);\n\n      switch (size.length) {\n        case 1:\n          // Single element Array | Matrix\n          if (size[0] === 1) {\n            return sqrt(A);\n          } else {\n            throw new RangeError('Matrix must be square ' + '(size: ' + string.format(size) + ')');\n          }\n\n        case 2:\n          // Two-dimensional Array | Matrix\n          var rows = size[0];\n          var cols = size[1];\n\n          if (rows === cols) {\n            return _denmanBeavers(A);\n          } else {\n            throw new RangeError('Matrix must be square ' + '(size: ' + string.format(size) + ')');\n          }\n\n      }\n    }\n  });\n  var _maxIterations = 1e3;\n  var _tolerance = 1e-6;\n  /**\n   * Calculate the principal square root matrix using the Denman–Beavers iterative method\n   *\n   * https://en.wikipedia.org/wiki/Square_root_of_a_matrix#By_Denman–Beavers_iteration\n   *\n   * @param  {Array | Matrix} A   The square matrix `A`\n   * @return {Array | Matrix}     The principal square root of matrix `A`\n   * @private\n   */\n\n  function _denmanBeavers(A) {\n    var error;\n    var iterations = 0;\n    var Y = A;\n    var Z = identity(size(A));\n\n    do {\n      var Yk = Y;\n      Y = multiply(0.5, add(Yk, inv(Z)));\n      Z = multiply(0.5, add(Z, inv(Yk)));\n      error = max(abs(subtract(Y, Yk)));\n\n      if (error > _tolerance && ++iterations > _maxIterations) {\n        throw new Error('computing square root of matrix: iterative method could not converge');\n      }\n    } while (error > _tolerance);\n\n    return Y;\n  }\n\n  sqrtm.toTex = {\n    1: \"{${args[0]}}\".concat(latex.operators['pow'], \"{\\\\frac{1}{2}}\")\n  };\n  return sqrtm;\n}\n\nexports.name = 'sqrtm';\nexports.factory = factory;","'use strict';\n\nvar object = require('../../utils/object');\n\nvar array = require('../../utils/array');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  /**\n   * Squeeze a matrix, remove inner and outer singleton dimensions from a matrix.\n   *\n   * Syntax:\n   *\n   *     math.squeeze(x)\n   *\n   * Examples:\n   *\n   *     math.squeeze([3])           // returns 3\n   *     math.squeeze([[3]])         // returns 3\n   *\n   *     const A = math.zeros(3, 1)    // returns [[0], [0], [0]] (size 3x1)\n   *     math.squeeze(A)             // returns [0, 0, 0] (size 3)\n   *\n   *     const B = math.zeros(1, 3)    // returns [[0, 0, 0]] (size 1x3)\n   *     math.squeeze(B)             // returns [0, 0, 0] (size 3)\n   *\n   *     // only inner and outer dimensions are removed\n   *     const C = math.zeros(2, 1, 3) // returns [[[0, 0, 0]], [[0, 0, 0]]] (size 2x1x3)\n   *     math.squeeze(C)             // returns [[[0, 0, 0]], [[0, 0, 0]]] (size 2x1x3)\n   *\n   * See also:\n   *\n   *     subset\n   *\n   * @param {Matrix | Array} x      Matrix to be squeezed\n   * @return {Matrix | Array} Squeezed matrix\n   */\n\n  var squeeze = typed('squeeze', {\n    'Array': function Array(x) {\n      return array.squeeze(object.clone(x));\n    },\n    'Matrix': function Matrix(x) {\n      var res = array.squeeze(x.toArray()); // FIXME: return the same type of matrix as the input\n\n      return Array.isArray(res) ? matrix(res) : res;\n    },\n    'any': function any(x) {\n      // scalar\n      return object.clone(x);\n    }\n  });\n  squeeze.toTex = undefined; // use default template\n\n  return squeeze;\n}\n\nexports.name = 'squeeze';\nexports.factory = factory;","'use strict';\n\nvar clone = require('../../utils/object').clone;\n\nvar format = require('../../utils/string').format;\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var add = load(require('../arithmetic/add'));\n  /**\n   * Calculate the trace of a matrix: the sum of the elements on the main\n   * diagonal of a square matrix.\n   *\n   * Syntax:\n   *\n   *    math.trace(x)\n   *\n   * Examples:\n   *\n   *    math.trace([[1, 2], [3, 4]]) // returns 5\n   *\n   *    const A = [\n   *      [1, 2, 3],\n   *      [-1, 2, 3],\n   *      [2, 0, 3]\n   *    ]\n   *    math.trace(A) // returns 6\n   *\n   * See also:\n   *\n   *    diag\n   *\n   * @param {Array | Matrix} x  A matrix\n   *\n   * @return {number} The trace of `x`\n   */\n\n  var trace = typed('trace', {\n    'Array': function _arrayTrace(x) {\n      // use dense matrix implementation\n      return _denseTrace(matrix(x));\n    },\n    'SparseMatrix': _sparseTrace,\n    'DenseMatrix': _denseTrace,\n    'any': clone\n  });\n\n  function _denseTrace(m) {\n    // matrix size & data\n    var size = m._size;\n    var data = m._data; // process dimensions\n\n    switch (size.length) {\n      case 1:\n        // vector\n        if (size[0] === 1) {\n          // return data[0]\n          return clone(data[0]);\n        }\n\n        throw new RangeError('Matrix must be square (size: ' + format(size) + ')');\n\n      case 2:\n        // two dimensional\n        var rows = size[0];\n        var cols = size[1];\n\n        if (rows === cols) {\n          // calulate sum\n          var sum = 0; // loop diagonal\n\n          for (var i = 0; i < rows; i++) {\n            sum = add(sum, data[i][i]);\n          } // return trace\n\n\n          return sum;\n        }\n\n        throw new RangeError('Matrix must be square (size: ' + format(size) + ')');\n\n      default:\n        // multi dimensional\n        throw new RangeError('Matrix must be two dimensional (size: ' + format(size) + ')');\n    }\n  }\n\n  function _sparseTrace(m) {\n    // matrix arrays\n    var values = m._values;\n    var index = m._index;\n    var ptr = m._ptr;\n    var size = m._size; // check dimensions\n\n    var rows = size[0];\n    var columns = size[1]; // matrix must be square\n\n    if (rows === columns) {\n      // calulate sum\n      var sum = 0; // check we have data (avoid looping columns)\n\n      if (values.length > 0) {\n        // loop columns\n        for (var j = 0; j < columns; j++) {\n          // k0 <= k < k1 where k0 = _ptr[j] && k1 = _ptr[j+1]\n          var k0 = ptr[j];\n          var k1 = ptr[j + 1]; // loop k within [k0, k1[\n\n          for (var k = k0; k < k1; k++) {\n            // row index\n            var i = index[k]; // check row\n\n            if (i === j) {\n              // accumulate value\n              sum = add(sum, values[k]); // exit loop\n\n              break;\n            }\n\n            if (i > j) {\n              // exit loop, no value on the diagonal for column j\n              break;\n            }\n          }\n        }\n      } // return trace\n\n\n      return sum;\n    }\n\n    throw new RangeError('Matrix must be square (size: ' + format(size) + ')');\n  }\n\n  trace.toTex = {\n    1: \"\\\\mathrm{tr}\\\\left(${args[0]}\\\\right)\"\n  };\n  return trace;\n}\n\nexports.name = 'trace';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var getArrayDataType = load(require('../../type/matrix/utils/getArrayDataType'));\n  /**\n   * Find the data type of all elements in a matrix or array,\n   * for example 'number' if all items are a number and 'Complex' if all values\n   * are complex numbers.\n   * If a matrix contains more than one data type, it will return 'mixed'.\n   *\n   * Syntax:\n   *\n   *    math.getMatrixDataType(x)\n   *\n   * Examples:\n   *\n   *    const x = [ [1, 2, 3], [4, 5, 6] ]\n   *    const mixedX = [ [1, true], [2, 3] ]\n   *    const fractionX = [ [math.fraction(1, 3)], [math.fraction(1, 3] ]\n   *    const unitX = [ [math.unit('5cm')], [math.unit('5cm')] ]\n   *    const bigNumberX = [ [math.bignumber(1)], [math.bignumber(0)] ]\n   *    const sparse = math.sparse(x)\n   *    const dense = math.matrix(x)\n   *    math.getMatrixDataType(x)   // returns 'number'\n   *    math.getMatrixDataType(sparse)   // returns 'number'\n   *    math.getMatrixDataType(dense)   // returns 'number'\n   *    math.getMatrixDataType(mixedX) // returns 'mixed'\n   *    math.getMatrixDataType(fractionX) // returns 'Fraction'\n   *    math.getMatrixDataType(unitX) // returns 'Unit'\n   *    math.getMatrixDataType(bigNumberX) // return 'BigNumber'\n   *\n   * See also:\n   *  SparseMatrix, DenseMatrix\n   *\n   * @param {...Matrix | Array} x   The Matrix with values.\n   *\n   * @return {string} A string representation of the matrix type\n   */\n\n  var getMatrixDataType = typed('getMatrixDataType', {\n    'Array': function Array(x) {\n      return getArrayDataType(x);\n    },\n    'Matrix': function Matrix(x) {\n      return x.getDataType();\n    }\n  });\n  return getMatrixDataType;\n}\n\nexports.name = 'getMatrixDataType';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [// require('./distribution'), // TODO: rethink math.distribution\nrequire('./combinations'), require('./factorial'), require('./gamma'), require('./kldivergence'), require('./multinomial'), require('./permutations'), require('./pickRandom'), require('./random'), require('./randomInt')];","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var divide = load(require('../arithmetic/divide'));\n  var sum = load(require('../statistics/sum'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var dotDivide = load(require('../arithmetic/dotDivide'));\n  var log = load(require('../arithmetic/log'));\n  var isNumeric = load(require('../utils/isNumeric'));\n  /**\n     * Calculate the Kullback-Leibler (KL) divergence  between two distributions\n     *\n     * Syntax:\n     *\n     *     math.kldivergence(x, y)\n     *\n     * Examples:\n     *\n     *     math.kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])   //returns 0.24376698773121153\n     *\n     *\n     * @param  {Array | Matrix} q    First vector\n     * @param  {Array | Matrix} p    Second vector\n     * @return {number}              Returns distance between q and p\n     */\n\n  var kldivergence = typed('kldivergence', {\n    'Array, Array': function ArrayArray(q, p) {\n      return _kldiv(matrix(q), matrix(p));\n    },\n    'Matrix, Array': function MatrixArray(q, p) {\n      return _kldiv(q, matrix(p));\n    },\n    'Array, Matrix': function ArrayMatrix(q, p) {\n      return _kldiv(matrix(q), p);\n    },\n    'Matrix, Matrix': function MatrixMatrix(q, p) {\n      return _kldiv(q, p);\n    }\n  });\n\n  function _kldiv(q, p) {\n    var plength = p.size().length;\n    var qlength = q.size().length;\n\n    if (plength > 1) {\n      throw new Error('first object must be one dimensional');\n    }\n\n    if (qlength > 1) {\n      throw new Error('second object must be one dimensional');\n    }\n\n    if (plength !== qlength) {\n      throw new Error('Length of two vectors must be equal');\n    } // Before calculation, apply normalization\n\n\n    var sumq = sum(q);\n\n    if (sumq === 0) {\n      throw new Error('Sum of elements in first object must be non zero');\n    }\n\n    var sump = sum(p);\n\n    if (sump === 0) {\n      throw new Error('Sum of elements in second object must be non zero');\n    }\n\n    var qnorm = divide(q, sum(q));\n    var pnorm = divide(p, sum(p));\n    var result = sum(multiply(qnorm, log(dotDivide(qnorm, pnorm))));\n\n    if (isNumeric(result)) {\n      return result;\n    } else {\n      return Number.NaN;\n    }\n  }\n\n  return kldivergence;\n}\n\nexports.name = 'kldivergence';\nexports.factory = factory;","'use strict';\n\nvar deepForEach = require('../../utils/collection/deepForEach');\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/add'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var divide = load(require('../arithmetic/divide'));\n  var factorial = load(require('../probability/factorial'));\n  var isInteger = load(require('../utils/isInteger'));\n  var isPositive = load(require('../utils/isPositive'));\n  /**\n   * Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities.\n   *\n   * multinomial takes one array of integers as an argument.\n   * The following condition must be enforced: every ai <= 0\n   *\n   * Syntax:\n   *\n   *     math.multinomial(a) // a is an array type\n   *\n   * Examples:\n   *\n   *    math.multinomial([1,2,1]) // returns 12\n   *\n   * See also:\n   *\n   *    combinations, factorial\n   *\n   * @param {number[] | BigNumber[]} a    Integer numbers of objects in the subset\n   * @return {Number | BigNumber}         Multinomial coefficient.\n   */\n\n  return typed('multinomial', {\n    'Array | Matrix': function ArrayMatrix(a) {\n      var sum = 0;\n      var denom = 1;\n      deepForEach(a, function (ai) {\n        if (!isInteger(ai) || !isPositive(ai)) {\n          throw new TypeError('Positive integer value expected in function multinomial');\n        }\n\n        sum = add(sum, ai);\n        denom = multiply(denom, factorial(ai));\n      });\n      return divide(factorial(sum), denom);\n    }\n  });\n}\n\nexports.name = 'multinomial';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nfunction factory(type, config, load, typed) {\n  var factorial = load(require('./factorial'));\n\n  var product = require('./product');\n  /**\n   * Compute the number of ways of obtaining an ordered subset of `k` elements\n   * from a set of `n` elements.\n   *\n   * Permutations only takes integer arguments.\n   * The following condition must be enforced: k <= n.\n   *\n   * Syntax:\n   *\n   *     math.permutations(n)\n   *     math.permutations(n, k)\n   *\n   * Examples:\n   *\n   *    math.permutations(5)     // 120\n   *    math.permutations(5, 3)  // 60\n   *\n   * See also:\n   *\n   *    combinations, factorial\n   *\n   * @param {number | BigNumber} n   The number of objects in total\n   * @param {number | BigNumber} [k] The number of objects in the subset\n   * @return {number | BigNumber}    The number of permutations\n   */\n\n\n  var permutations = typed('permutations', {\n    'number | BigNumber': factorial,\n    'number, number': function numberNumber(n, k) {\n      if (!isInteger(n) || n < 0) {\n        throw new TypeError('Positive integer value expected in function permutations');\n      }\n\n      if (!isInteger(k) || k < 0) {\n        throw new TypeError('Positive integer value expected in function permutations');\n      }\n\n      if (k > n) {\n        throw new TypeError('second argument k must be less than or equal to first argument n');\n      } // Permute n objects, k at a time\n\n\n      return product(n - k + 1, n);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(n, k) {\n      var result, i;\n\n      if (!isPositiveInteger(n) || !isPositiveInteger(k)) {\n        throw new TypeError('Positive integer value expected in function permutations');\n      }\n\n      if (k.gt(n)) {\n        throw new TypeError('second argument k must be less than or equal to first argument n');\n      }\n\n      result = new type.BigNumber(1);\n\n      for (i = n.minus(k).plus(1); i.lte(n); i = i.plus(1)) {\n        result = result.times(i);\n      }\n\n      return result;\n    } // TODO: implement support for collection in permutations\n\n  });\n  permutations.toTex = undefined; // use default template\n\n  return permutations;\n}\n/**\n * Test whether BigNumber n is a positive integer\n * @param {BigNumber} n\n * @returns {boolean} isPositiveInteger\n */\n\n\nfunction isPositiveInteger(n) {\n  return n.isInteger() && n.gte(0);\n}\n\nexports.name = 'permutations';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var distribution = load(require('./distribution'));\n  /**\n   * Random pick one or more values from a one dimensional array.\n   * Array elements are picked using a random function with uniform or weighted distribution.\n   *\n   * Syntax:\n   *\n   *     math.pickRandom(array)\n   *     math.pickRandom(array, number)\n   *     math.pickRandom(array, weights)\n   *     math.pickRandom(array, number, weights)\n   *     math.pickRandom(array, weights, number)\n   *\n   * Examples:\n   *\n   *     math.pickRandom([3, 6, 12, 2])                  // returns one of the values in the array\n   *     math.pickRandom([3, 6, 12, 2], 2)               // returns an array of two of the values in the array\n   *     math.pickRandom([3, 6, 12, 2], [1, 3, 2, 1])    // returns one of the values in the array with weighted distribution\n   *     math.pickRandom([3, 6, 12, 2], 2, [1, 3, 2, 1]) // returns an array of two of the values in the array with weighted distribution\n   *     math.pickRandom([3, 6, 12, 2], [1, 3, 2, 1], 2) // returns an array of two of the values in the array with weighted distribution\n   *\n   * See also:\n   *\n   *     random, randomInt\n   *\n   * @param {Array} array     A one dimensional array\n   * @param {Int} number      An int or float\n   * @param {Array} weights   An array of ints or floats\n   * @return {number | Array} Returns a single random value from array when number is 1 or undefined.\n   *                          Returns an array with the configured number of elements when number is > 1.\n   */\n  // TODO: rework pickRandom to a typed-function\n\n  var pickRandom = distribution('uniform').pickRandom;\n  pickRandom.toTex = undefined; // use default template\n\n  return pickRandom;\n}\n\nexports.name = 'pickRandom';\nexports.factory = factory;","'use strict';\n\nvar seedrandom = require('seed-random'); // create a random seed here to prevent an infinite loop from seed-random\n// inside the factory. Reason is that math.random is defined as a getter/setter\n// and seed-random generates a seed from the local entropy by reading every\n// defined object including `math` itself. That means that whilst getting\n// math.random, it tries to get math.random, etc... an infinite loop.\n// See https://github.com/ForbesLindesay/seed-random/issues/6\n\n\nvar singletonRandom = seedrandom();\n\nfunction factory(type, config, load, typed, math) {\n  var random; // create a new random generator with given seed\n\n  function setSeed(seed) {\n    random = seed === null ? singletonRandom : seedrandom(String(seed));\n  } // initialize a seeded pseudo random number generator with config's random seed\n\n\n  setSeed(config.randomSeed); // wrapper function so the rng can be updated via generator\n\n  function rng() {\n    return random();\n  } // updates generator with a new instance of a seeded pseudo random number generator\n\n\n  math.on('config', function (curr, prev, changes) {\n    // if the user specified a randomSeed\n    if (changes.randomSeed !== undefined) {\n      // update generator with a new instance of a seeded pseudo random number generator\n      setSeed(curr.randomSeed);\n    }\n  });\n  return rng;\n}\n\nexports.factory = factory;\nexports.math = true;","'use strict';\n\nvar width = 256; // each RC4 output is 0 <= x < 256\n\nvar chunks = 6; // at least six RC4 outputs for each double\n\nvar digits = 52; // there are 52 significant digits in a double\n\nvar pool = []; // pool: entropy pool starts empty\n\nvar GLOBAL = typeof global === 'undefined' ? window : global; //\n// The following constants are related to IEEE 754 limits.\n//\n\nvar startdenom = Math.pow(width, chunks),\n    significance = Math.pow(2, digits),\n    overflow = significance * 2,\n    mask = width - 1;\nvar oldRandom = Math.random; //\n// seedrandom()\n// This is the seedrandom function described above.\n//\n\nmodule.exports = function (seed, options) {\n  if (options && options.global === true) {\n    options.global = false;\n    Math.random = module.exports(seed, options);\n    options.global = true;\n    return Math.random;\n  }\n\n  var use_entropy = options && options.entropy || false;\n  var key = []; // Flatten the seed string or build one from local entropy if needed.\n\n  var shortseed = mixkey(flatten(use_entropy ? [seed, tostring(pool)] : 0 in arguments ? seed : autoseed(), 3), key); // Use the seed to initialize an ARC4 generator.\n\n  var arc4 = new ARC4(key); // Mix the randomness into accumulated entropy.\n\n  mixkey(tostring(arc4.S), pool); // Override Math.random\n  // This function returns a random double in [0, 1) that contains\n  // randomness in every bit of the mantissa of the IEEE 754 value.\n\n  return function () {\n    // Closure to return a random double:\n    var n = arc4.g(chunks),\n        // Start with a numerator n < 2 ^ 48\n    d = startdenom,\n        //   and denominator d = 2 ^ 48.\n    x = 0; //   and no 'extra last byte'.\n\n    while (n < significance) {\n      // Fill up all significant digits by\n      n = (n + x) * width; //   shifting numerator and\n\n      d *= width; //   denominator and generating a\n\n      x = arc4.g(1); //   new least-significant-byte.\n    }\n\n    while (n >= overflow) {\n      // To avoid rounding up, before adding\n      n /= 2; //   last byte, shift everything\n\n      d /= 2; //   right using integer Math until\n\n      x >>>= 1; //   we have exactly the desired bits.\n    }\n\n    return (n + x) / d; // Form the number within [0, 1).\n  };\n};\n\nmodule.exports.resetGlobal = function () {\n  Math.random = oldRandom;\n}; //\n// ARC4\n//\n// An ARC4 implementation.  The constructor takes a key in the form of\n// an array of at most (width) integers that should be 0 <= x < (width).\n//\n// The g(count) method returns a pseudorandom integer that concatenates\n// the next (count) outputs from ARC4.  Its return value is a number x\n// that is in the range 0 <= x < (width ^ count).\n//\n\n/** @constructor */\n\n\nfunction ARC4(key) {\n  var t,\n      keylen = key.length,\n      me = this,\n      i = 0,\n      j = me.i = me.j = 0,\n      s = me.S = []; // The empty key [] is treated as [0].\n\n  if (!keylen) {\n    key = [keylen++];\n  } // Set up S using the standard key scheduling algorithm.\n\n\n  while (i < width) {\n    s[i] = i++;\n  }\n\n  for (i = 0; i < width; i++) {\n    s[i] = s[j = mask & j + key[i % keylen] + (t = s[i])];\n    s[j] = t;\n  } // The \"g\" method returns the next (count) outputs as one number.\n\n\n  (me.g = function (count) {\n    // Using instance members instead of closure state nearly doubles speed.\n    var t,\n        r = 0,\n        i = me.i,\n        j = me.j,\n        s = me.S;\n\n    while (count--) {\n      t = s[i = mask & i + 1];\n      r = r * width + s[mask & (s[i] = s[j = mask & j + t]) + (s[j] = t)];\n    }\n\n    me.i = i;\n    me.j = j;\n    return r; // For robust unpredictability discard an initial batch of values.\n    // See http://www.rsa.com/rsalabs/node.asp?id=2009\n  })(width);\n} //\n// flatten()\n// Converts an object tree to nested arrays of strings.\n//\n\n\nfunction flatten(obj, depth) {\n  var result = [],\n      typ = (typeof obj)[0],\n      prop;\n\n  if (depth && typ == 'o') {\n    for (prop in obj) {\n      try {\n        result.push(flatten(obj[prop], depth - 1));\n      } catch (e) {}\n    }\n  }\n\n  return result.length ? result : typ == 's' ? obj : obj + '\\0';\n} //\n// mixkey()\n// Mixes a string seed into a key that is an array of integers, and\n// returns a shortened string seed that is equivalent to the result key.\n//\n\n\nfunction mixkey(seed, key) {\n  var stringseed = seed + '',\n      smear,\n      j = 0;\n\n  while (j < stringseed.length) {\n    key[mask & j] = mask & (smear ^= key[mask & j] * 19) + stringseed.charCodeAt(j++);\n  }\n\n  return tostring(key);\n} //\n// autoseed()\n// Returns an object for autoseeding, using window.crypto if available.\n//\n\n/** @param {Uint8Array=} seed */\n\n\nfunction autoseed(seed) {\n  try {\n    GLOBAL.crypto.getRandomValues(seed = new Uint8Array(width));\n    return tostring(seed);\n  } catch (e) {\n    return [+new Date(), GLOBAL, GLOBAL.navigator && GLOBAL.navigator.plugins, GLOBAL.screen, tostring(pool)];\n  }\n} //\n// tostring()\n// Converts an array of charcodes to a string\n//\n\n\nfunction tostring(a) {\n  return String.fromCharCode.apply(0, a);\n} //\n// When seedrandom.js is loaded, we immediately mix a few bits\n// from the built-in RNG into the entropy pool.  Because we do\n// not want to intefere with determinstic PRNG state later,\n// seedrandom will not call Math.random on its own again after\n// initialization.\n//\n\n\nmixkey(Math.random(), pool);","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var distribution = load(require('./distribution'));\n  /**\n   * Return a random number larger or equal to `min` and smaller than `max`\n   * using a uniform distribution.\n   *\n   * Syntax:\n   *\n   *     math.random()                // generate a random number between 0 and 1\n   *     math.random(max)             // generate a random number between 0 and max\n   *     math.random(min, max)        // generate a random number between min and max\n   *     math.random(size)            // generate a matrix with random numbers between 0 and 1\n   *     math.random(size, max)       // generate a matrix with random numbers between 0 and max\n   *     math.random(size, min, max)  // generate a matrix with random numbers between min and max\n   *\n   * Examples:\n   *\n   *     math.random()       // returns a random number between 0 and 1\n   *     math.random(100)    // returns a random number between 0 and 100\n   *     math.random(30, 40) // returns a random number between 30 and 40\n   *     math.random([2, 3]) // returns a 2x3 matrix with random numbers between 0 and 1\n   *\n   * See also:\n   *\n   *     randomInt, pickRandom\n   *\n   * @param {Array | Matrix} [size] If provided, an array or matrix with given\n   *                                size and filled with random values is returned\n   * @param {number} [min]  Minimum boundary for the random value, included\n   * @param {number} [max]  Maximum boundary for the random value, excluded\n   * @return {number | Array | Matrix} A random number\n   */\n  // TODO: rework random to a typed-function\n\n  var random = distribution('uniform').random;\n  random.toTex = undefined; // use default template\n\n  return random;\n}\n\nexports.name = 'random';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var distribution = load(require('./distribution'));\n  /**\n   * Return a random integer number larger or equal to `min` and smaller than `max`\n   * using a uniform distribution.\n   *\n   * Syntax:\n   *\n   *     math.randomInt(max)             // generate a random integer between 0 and max\n   *     math.randomInt(min, max)        // generate a random integer between min and max\n   *     math.randomInt(size)            // generate a matrix with random integer between 0 and 1\n   *     math.randomInt(size, max)       // generate a matrix with random integer between 0 and max\n   *     math.randomInt(size, min, max)  // generate a matrix with random integer between min and max\n   *\n   * Examples:\n   *\n   *     math.randomInt(100)    // returns a random integer between 0 and 100\n   *     math.randomInt(30, 40) // returns a random integer between 30 and 40\n   *     math.randomInt([2, 3]) // returns a 2x3 matrix with random integers between 0 and 1\n   *\n   * See also:\n   *\n   *     random, pickRandom\n   *\n   * @param {Array | Matrix} [size] If provided, an array or matrix with given\n   *                                size and filled with random values is returned\n   * @param {number} [min]  Minimum boundary for the random value, included\n   * @param {number} [max]  Maximum boundary for the random value, excluded\n   * @return {number | Array | Matrix} A random integer value\n   */\n  // TODO: rework randomInt to a typed-function\n\n  var randomInt = distribution('uniform').randomInt;\n  randomInt.toTex = undefined; // use default template\n\n  return randomInt;\n}\n\nexports.name = 'randomInt';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./compare'), require('./compareNatural'), require('./compareText'), require('./deepEqual'), require('./equal'), require('./equalText'), require('./larger'), require('./largerEq'), require('./smaller'), require('./smallerEq'), require('./unequal')];","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var equal = load(require('./equal'));\n  /**\n   * Test element wise whether two matrices are equal.\n   * The function accepts both matrices and scalar values.\n   *\n   * Strings are compared by their numerical value.\n   *\n   * Syntax:\n   *\n   *    math.deepEqual(x, y)\n   *\n   * Examples:\n   *\n   *    math.deepEqual(2, 4)   // returns false\n   *\n   *    a = [2, 5, 1]\n   *    b = [2, 7, 1]\n   *\n   *    math.deepEqual(a, b)   // returns false\n   *    math.equal(a, b)       // returns [true, false, true]\n   *\n   * See also:\n   *\n   *    equal, unequal\n   *\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x First matrix to compare\n   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} y Second matrix to compare\n   * @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix}\n   *            Returns true when the input matrices have the same size and each of their elements is equal.\n   */\n\n  var deepEqual = typed('deepEqual', {\n    'any, any': function anyAny(x, y) {\n      return _deepEqual(x.valueOf(), y.valueOf());\n    }\n  });\n  deepEqual.toTex = undefined; // use default template\n\n  return deepEqual;\n  /**\n   * Test whether two arrays have the same size and all elements are equal\n   * @param {Array | *} x\n   * @param {Array | *} y\n   * @return {boolean} Returns true if both arrays are deep equal\n   */\n\n  function _deepEqual(x, y) {\n    if (Array.isArray(x)) {\n      if (Array.isArray(y)) {\n        var len = x.length;\n\n        if (len !== y.length) {\n          return false;\n        }\n\n        for (var i = 0; i < len; i++) {\n          if (!_deepEqual(x[i], y[i])) {\n            return false;\n          }\n        }\n\n        return true;\n      } else {\n        return false;\n      }\n    } else {\n      if (Array.isArray(y)) {\n        return false;\n      } else {\n        return equal(x, y);\n      }\n    }\n  }\n}\n\nexports.name = 'deepEqual';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var compareText = load(require('./compareText'));\n  var isZero = load(require('../utils/isZero'));\n  /**\n   * Check equality of two strings. Comparison is case sensitive.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.equalText(x, y)\n   *\n   * Examples:\n   *\n   *    math.equalText('Hello', 'Hello')     // returns true\n   *    math.equalText('a', 'A')             // returns false\n   *    math.equal('2e3', '2000')            // returns true\n   *    math.equalText('2e3', '2000')        // returns false\n   *\n   *    math.equalText('B', ['A', 'B', 'C']) // returns [false, true, false]\n   *\n   * See also:\n   *\n   *    equal, compareText, compare, compareNatural\n   *\n   * @param  {string | Array | DenseMatrix} x First string to compare\n   * @param  {string | Array | DenseMatrix} y Second string to compare\n   * @return {number | Array | DenseMatrix} Returns true if the values are equal, and false if not.\n   */\n\n  var equalText = typed('equalText', {\n    'any, any': function anyAny(x, y) {\n      return isZero(compareText(x, y));\n    }\n  });\n  equalText.toTex = undefined; // use default template\n\n  return equalText;\n}\n\nexports.name = 'equalText';\nexports.factory = factory;","'use strict';\n\nvar nearlyEqual = require('../../utils/number').nearlyEqual;\n\nvar bigNearlyEqual = require('../../utils/bignumber/nearlyEqual');\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm07 = load(require('../../type/matrix/utils/algorithm07'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n\n  var latex = require('../../utils/latex');\n  /**\n   * Test whether value x is smaller or equal to y.\n   *\n   * The function returns true when x is smaller than y or the relative\n   * difference between x and y is smaller than the configured epsilon. The\n   * function cannot be used to compare values smaller than approximately 2.22e-16.\n   *\n   * For matrices, the function is evaluated element wise.\n   * Strings are compared by their numerical value.\n   *\n   * Syntax:\n   *\n   *    math.smallerEq(x, y)\n   *\n   * Examples:\n   *\n   *    math.smaller(1 + 2, 3)        // returns false\n   *    math.smallerEq(1 + 2, 3)      // returns true\n   *\n   * See also:\n   *\n   *    equal, unequal, smaller, larger, largerEq, compare\n   *\n   * @param  {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} x First value to compare\n   * @param  {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} y Second value to compare\n   * @return {boolean | Array | Matrix} Returns true when the x is smaller than y, else returns false\n   */\n\n\n  var smallerEq = typed('smallerEq', {\n    'boolean, boolean': function booleanBoolean(x, y) {\n      return x <= y;\n    },\n    'number, number': function numberNumber(x, y) {\n      return x <= y || nearlyEqual(x, y, config.epsilon);\n    },\n    'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {\n      return x.lte(y) || bigNearlyEqual(x, y, config.epsilon);\n    },\n    'Fraction, Fraction': function FractionFraction(x, y) {\n      return x.compare(y) !== 1;\n    },\n    'Complex, Complex': function ComplexComplex() {\n      throw new TypeError('No ordering relation is defined for complex numbers');\n    },\n    'Unit, Unit': function UnitUnit(x, y) {\n      if (!x.equalBase(y)) {\n        throw new Error('Cannot compare units with different base');\n      }\n\n      return smallerEq(x.value, y.value);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm07(x, y, smallerEq);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      return algorithm03(y, x, smallerEq, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, smallerEq, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, smallerEq);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return smallerEq(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return smallerEq(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return smallerEq(x, matrix(y));\n    },\n    'SparseMatrix, any': function SparseMatrixAny(x, y) {\n      return algorithm12(x, y, smallerEq, false);\n    },\n    'DenseMatrix, any': function DenseMatrixAny(x, y) {\n      return algorithm14(x, y, smallerEq, false);\n    },\n    'any, SparseMatrix': function anySparseMatrix(x, y) {\n      return algorithm12(y, x, smallerEq, true);\n    },\n    'any, DenseMatrix': function anyDenseMatrix(x, y) {\n      return algorithm14(y, x, smallerEq, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, smallerEq, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, smallerEq, true).valueOf();\n    }\n  });\n  smallerEq.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['smallerEq'], \"${args[1]}\\\\right)\")\n  };\n  return smallerEq;\n}\n\nexports.name = 'smallerEq';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./setCartesian'), require('./setDifference'), require('./setDistinct'), require('./setIntersect'), require('./setIsSubset'), require('./setMultiplicity'), require('./setPowerset'), require('./setSize'), require('./setSymDifference'), require('./setUnion')];","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var MatrixIndex = load(require('../../type/matrix/MatrixIndex'));\n  var DenseMatrix = load(require('../../type/matrix/DenseMatrix'));\n  var size = load(require('../matrix/size'));\n  var subset = load(require('../matrix/subset'));\n  var compareNatural = load(require('../relational/compareNatural'));\n  /**\n   * Create the cartesian product of two (multi)sets.\n   * Multi-dimension arrays will be converted to single-dimension arrays before the operation.\n   *\n   * Syntax:\n   *\n   *    math.setCartesian(set1, set2)\n   *\n   * Examples:\n   *\n   *    math.setCartesian([1, 2], [3, 4])        // returns [[1, 3], [1, 4], [2, 3], [2, 4]]\n   *\n   * See also:\n   *\n   *    setUnion, setIntersect, setDifference, setPowerset\n   *\n   * @param {Array | Matrix}    a1  A (multi)set\n   * @param {Array | Matrix}    a2  A (multi)set\n   * @return {Array | Matrix}    The cartesian product of two (multi)sets\n   */\n\n  var setCartesian = typed('setCartesian', {\n    'Array | Matrix, Array | Matrix': function ArrayMatrixArrayMatrix(a1, a2) {\n      var result = [];\n\n      if (subset(size(a1), new MatrixIndex(0)) !== 0 && subset(size(a2), new MatrixIndex(0)) !== 0) {\n        // if any of them is empty, return empty\n        var b1 = flatten(Array.isArray(a1) ? a1 : a1.toArray()).sort(compareNatural);\n        var b2 = flatten(Array.isArray(a2) ? a2 : a2.toArray()).sort(compareNatural);\n        result = [];\n\n        for (var i = 0; i < b1.length; i++) {\n          for (var j = 0; j < b2.length; j++) {\n            result.push([b1[i], b2[j]]);\n          }\n        }\n      } // return an array, if both inputs were arrays\n\n\n      if (Array.isArray(a1) && Array.isArray(a2)) {\n        return result;\n      } // return a matrix otherwise\n\n\n      return new DenseMatrix(result);\n    }\n  });\n  return setCartesian;\n}\n\nexports.name = 'setCartesian';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var MatrixIndex = load(require('../../type/matrix/MatrixIndex'));\n  var DenseMatrix = load(require('../../type/matrix/DenseMatrix'));\n  var size = load(require('../matrix/size'));\n  var subset = load(require('../matrix/subset'));\n  var compareNatural = load(require('../relational/compareNatural'));\n  /**\n   * Collect the distinct elements of a multiset.\n   * A multi-dimension array will be converted to a single-dimension array before the operation.\n   *\n   * Syntax:\n   *\n   *    math.setDistinct(set)\n   *\n   * Examples:\n   *\n   *    math.setDistinct([1, 1, 1, 2, 2, 3])        // returns [1, 2, 3]\n   *\n   * See also:\n   *\n   *    setMultiplicity\n   *\n   * @param {Array | Matrix}    a  A multiset\n   * @return {Array | Matrix}    A set containing the distinc elements of the multiset\n   */\n\n  var setDistinct = typed('setDistinct', {\n    'Array | Matrix': function ArrayMatrix(a) {\n      var result;\n\n      if (subset(size(a), new MatrixIndex(0)) === 0) {\n        // if empty, return empty\n        result = [];\n      } else {\n        var b = flatten(Array.isArray(a) ? a : a.toArray()).sort(compareNatural);\n        result = [];\n        result.push(b[0]);\n\n        for (var i = 1; i < b.length; i++) {\n          if (compareNatural(b[i], b[i - 1]) !== 0) {\n            result.push(b[i]);\n          }\n        }\n      } // return an array, if the input was an array\n\n\n      if (Array.isArray(a)) {\n        return result;\n      } // return a matrix otherwise\n\n\n      return new DenseMatrix(result);\n    }\n  });\n  return setDistinct;\n}\n\nexports.name = 'setDistinct';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nvar identify = require('../../utils/array').identify;\n\nfunction factory(type, config, load, typed) {\n  var MatrixIndex = load(require('../../type/matrix/MatrixIndex'));\n  var size = load(require('../matrix/size'));\n  var subset = load(require('../matrix/subset'));\n  var compareNatural = load(require('../relational/compareNatural'));\n  /**\n   * Check whether a (multi)set is a subset of another (multi)set. (Every element of set1 is the element of set2.)\n   * Multi-dimension arrays will be converted to single-dimension arrays before the operation.\n   *\n   * Syntax:\n   *\n   *    math.setIsSubset(set1, set2)\n   *\n   * Examples:\n   *\n   *    math.setIsSubset([1, 2], [3, 4, 5, 6])        // returns false\n   *    math.setIsSubset([3, 4], [3, 4, 5, 6])        // returns true\n   *\n   * See also:\n   *\n   *    setUnion, setIntersect, setDifference\n   *\n   * @param {Array | Matrix}    a1  A (multi)set\n   * @param {Array | Matrix}    a2  A (multi)set\n   * @return {boolean}            true | false\n   */\n\n  var setIsSubset = typed('setIsSubset', {\n    'Array | Matrix, Array | Matrix': function ArrayMatrixArrayMatrix(a1, a2) {\n      if (subset(size(a1), new MatrixIndex(0)) === 0) {\n        // empty is a subset of anything\n        return true;\n      } else if (subset(size(a2), new MatrixIndex(0)) === 0) {\n        // anything is not a subset of empty\n        return false;\n      }\n\n      var b1 = identify(flatten(Array.isArray(a1) ? a1 : a1.toArray()).sort(compareNatural));\n      var b2 = identify(flatten(Array.isArray(a2) ? a2 : a2.toArray()).sort(compareNatural));\n      var inb2;\n\n      for (var i = 0; i < b1.length; i++) {\n        inb2 = false;\n\n        for (var j = 0; j < b2.length; j++) {\n          if (compareNatural(b1[i].value, b2[j].value) === 0 && b1[i].identifier === b2[j].identifier) {\n            // the identifier is always a decimal int\n            inb2 = true;\n            break;\n          }\n        }\n\n        if (inb2 === false) {\n          return false;\n        }\n      }\n\n      return true;\n    }\n  });\n  return setIsSubset;\n}\n\nexports.name = 'setIsSubset';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var compareNatural = load(require('../relational/compareNatural'));\n  var MatrixIndex = load(require('../../type/matrix/MatrixIndex'));\n  var size = load(require('../matrix/size'));\n  var subset = load(require('../matrix/subset'));\n  /**\n   * Count the multiplicity of an element in a multiset.\n   * A multi-dimension array will be converted to a single-dimension array before the operation.\n   *\n   * Syntax:\n   *\n   *    math.setMultiplicity(element, set)\n   *\n   * Examples:\n   *\n   *    math.setMultiplicity(1, [1, 2, 2, 4])    // returns 1\n   *    math.setMultiplicity(2, [1, 2, 2, 4])    // returns 2\n   *\n   * See also:\n   *\n   *    setDistinct, setSize\n   *\n   * @param {number | BigNumber | Fraction | Complex} e  An element in the multiset\n   * @param {Array | Matrix}     a  A multiset\n   * @return {number}            The number of how many times the multiset contains the element\n   */\n\n  var setMultiplicity = typed('setMultiplicity', {\n    'number | BigNumber | Fraction | Complex, Array | Matrix': function numberBigNumberFractionComplexArrayMatrix(e, a) {\n      if (subset(size(a), new MatrixIndex(0)) === 0) {\n        // if empty, return 0\n        return 0;\n      }\n\n      var b = flatten(Array.isArray(a) ? a : a.toArray());\n      var count = 0;\n\n      for (var i = 0; i < b.length; i++) {\n        if (compareNatural(b[i], e) === 0) {\n          count++;\n        }\n      }\n\n      return count;\n    }\n  });\n  return setMultiplicity;\n}\n\nexports.name = 'setMultiplicity';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var MatrixIndex = load(require('../../type/matrix/MatrixIndex'));\n  var size = load(require('../matrix/size'));\n  var subset = load(require('../matrix/subset'));\n  var compareNatural = load(require('../relational/compareNatural'));\n  /**\n   * Create the powerset of a (multi)set. (The powerset contains very possible subsets of a (multi)set.)\n   * A multi-dimension array will be converted to a single-dimension array before the operation.\n   *\n   * Syntax:\n   *\n   *    math.setPowerset(set)\n   *\n   * Examples:\n   *\n   *    math.setPowerset([1, 2, 3])        // returns [[], [1], [2], [3], [1, 2], [1, 3], [2, 3], [1, 2, 3]]\n   *\n   * See also:\n   *\n   *    setCartesian\n   *\n   * @param {Array | Matrix}    a  A (multi)set\n   * @return {Array}    The powerset of the (multi)set\n   */\n\n  var setPowerset = typed('setPowerset', {\n    'Array | Matrix': function ArrayMatrix(a) {\n      if (subset(size(a), new MatrixIndex(0)) === 0) {\n        // if empty, return empty\n        return [];\n      }\n\n      var b = flatten(Array.isArray(a) ? a : a.toArray()).sort(compareNatural);\n      var result = [];\n      var number = 0;\n\n      while (number.toString(2).length <= b.length) {\n        result.push(_subset(b, number.toString(2).split('').reverse()));\n        number++;\n      } // can not return a matrix, because of the different size of the subarrays\n\n\n      return _sort(result);\n    }\n  });\n  return setPowerset; // create subset\n\n  function _subset(array, bitarray) {\n    var result = [];\n\n    for (var i = 0; i < bitarray.length; i++) {\n      if (bitarray[i] === '1') {\n        result.push(array[i]);\n      }\n    }\n\n    return result;\n  } // sort subsests by length\n\n\n  function _sort(array) {\n    var temp = [];\n\n    for (var i = array.length - 1; i > 0; i--) {\n      for (var j = 0; j < i; j++) {\n        if (array[j].length > array[j + 1].length) {\n          temp = array[j];\n          array[j] = array[j + 1];\n          array[j + 1] = temp;\n        }\n      }\n    }\n\n    return array;\n  }\n}\n\nexports.name = 'setPowerset';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var compareNatural = load(require('../relational/compareNatural'));\n  /**\n   * Count the number of elements of a (multi)set. When a second parameter is 'true', count only the unique values.\n   * A multi-dimension array will be converted to a single-dimension array before the operation.\n   *\n   * Syntax:\n   *\n   *    math.setSize(set)\n   *    math.setSize(set, unique)\n   *\n   * Examples:\n   *\n   *    math.setSize([1, 2, 2, 4])          // returns 4\n   *    math.setSize([1, 2, 2, 4], true)    // returns 3\n   *\n   * See also:\n   *\n   *    setUnion, setIntersect, setDifference\n   *\n   * @param {Array | Matrix}    a  A multiset\n   * @return {number}            The number of elements of the (multi)set\n   */\n\n  var setSize = typed('setSize', {\n    'Array | Matrix': function ArrayMatrix(a) {\n      return Array.isArray(a) ? flatten(a).length : flatten(a.toArray()).length;\n    },\n    'Array | Matrix, boolean': function ArrayMatrixBoolean(a, unique) {\n      if (unique === false || a.length === 0) {\n        return Array.isArray(a) ? flatten(a).length : flatten(a.toArray()).length;\n      } else {\n        var b = flatten(Array.isArray(a) ? a : a.toArray()).sort(compareNatural);\n        var count = 1;\n\n        for (var i = 1; i < b.length; i++) {\n          if (compareNatural(b[i], b[i - 1]) !== 0) {\n            count++;\n          }\n        }\n\n        return count;\n      }\n    }\n  });\n  return setSize;\n}\n\nexports.name = 'setSize';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var MatrixIndex = load(require('../../type/matrix/MatrixIndex'));\n  var concat = load(require('../matrix/concat'));\n  var size = load(require('../matrix/size'));\n  var subset = load(require('../matrix/subset'));\n  var setIntersect = load(require('../set/setIntersect'));\n  var setSymDifference = load(require('../set/setSymDifference'));\n  /**\n   * Create the union of two (multi)sets.\n   * Multi-dimension arrays will be converted to single-dimension arrays before the operation.\n   *\n   * Syntax:\n   *\n   *    math.setUnion(set1, set2)\n   *\n   * Examples:\n   *\n   *    math.setUnion([1, 2, 3, 4], [3, 4, 5, 6])            // returns [1, 2, 3, 4, 5, 6]\n   *    math.setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])    // returns [1, 2, 3, 4, 5, 6]\n   *\n   * See also:\n   *\n   *    setIntersect, setDifference\n   *\n   * @param {Array | Matrix}    a1  A (multi)set\n   * @param {Array | Matrix}    a2  A (multi)set\n   * @return {Array | Matrix}    The union of two (multi)sets\n   */\n\n  var setUnion = typed('setUnion', {\n    'Array | Matrix, Array | Matrix': function ArrayMatrixArrayMatrix(a1, a2) {\n      if (subset(size(a1), new MatrixIndex(0)) === 0) {\n        // if any of them is empty, return the other one\n        return flatten(a2);\n      } else if (subset(size(a2), new MatrixIndex(0)) === 0) {\n        return flatten(a1);\n      }\n\n      var b1 = flatten(a1);\n      var b2 = flatten(a2);\n      return concat(setSymDifference(b1, b2), setIntersect(b1, b2));\n    }\n  });\n  return setUnion;\n}\n\nexports.name = 'setUnion';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./erf')];","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nvar sign = require('../../utils/number').sign;\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Compute the erf function of a value using a rational Chebyshev\n   * approximations for different intervals of x.\n   *\n   * This is a translation of W. J. Cody's Fortran implementation from 1987\n   * ( http://www.netlib.org/specfun/erf ). See the AMS publication\n   * \"Rational Chebyshev Approximations for the Error Function\" by W. J. Cody\n   * for an explanation of this process.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.erf(x)\n   *\n   * Examples:\n   *\n   *    math.erf(0.2)    // returns 0.22270258921047847\n   *    math.erf(-0.5)   // returns -0.5204998778130465\n   *    math.erf(4)      // returns 0.9999999845827421\n   *\n   * @param {number | Array | Matrix} x   A real number\n   * @return {number | Array | Matrix}    The erf of `x`\n   */\n  var erf = typed('erf', {\n    'number': function number(x) {\n      var y = Math.abs(x);\n\n      if (y >= MAX_NUM) {\n        return sign(x);\n      }\n\n      if (y <= THRESH) {\n        return sign(x) * erf1(y);\n      }\n\n      if (y <= 4.0) {\n        return sign(x) * (1 - erfc2(y));\n      }\n\n      return sign(x) * (1 - erfc3(y));\n    },\n    // TODO: Not sure if there's a way to guarantee some degree of accuracy here.\n    //  Perhaps it would be best to set the precision of the number to that which\n    //  is guaranteed by erf()\n    'BigNumber': function BigNumber(n) {\n      return new type.BigNumber(erf(n.toNumber()));\n    },\n    'Array | Matrix': function ArrayMatrix(n) {\n      return deepMap(n, erf);\n    } // TODO: For complex numbers, use the approximation for the Faddeeva function\n    //  from \"More Efficient Computation of the Complex Error Function\" (AMS)\n\n  });\n  /**\n   * Approximates the error function erf() for x <= 0.46875 using this function:\n   *               n\n   * erf(x) = x * sum (p_j * x^(2j)) / (q_j * x^(2j))\n   *              j=0\n   */\n\n  function erf1(y) {\n    var ysq = y * y;\n    var xnum = P[0][4] * ysq;\n    var xden = ysq;\n    var i;\n\n    for (i = 0; i < 3; i += 1) {\n      xnum = (xnum + P[0][i]) * ysq;\n      xden = (xden + Q[0][i]) * ysq;\n    }\n\n    return y * (xnum + P[0][3]) / (xden + Q[0][3]);\n  }\n  /**\n   * Approximates the complement of the error function erfc() for\n   * 0.46875 <= x <= 4.0 using this function:\n   *                       n\n   * erfc(x) = e^(-x^2) * sum (p_j * x^j) / (q_j * x^j)\n   *                      j=0\n   */\n\n\n  function erfc2(y) {\n    var xnum = P[1][8] * y;\n    var xden = y;\n    var i;\n\n    for (i = 0; i < 7; i += 1) {\n      xnum = (xnum + P[1][i]) * y;\n      xden = (xden + Q[1][i]) * y;\n    }\n\n    var result = (xnum + P[1][7]) / (xden + Q[1][7]);\n    var ysq = parseInt(y * 16) / 16;\n    var del = (y - ysq) * (y + ysq);\n    return Math.exp(-ysq * ysq) * Math.exp(-del) * result;\n  }\n  /**\n   * Approximates the complement of the error function erfc() for x > 4.0 using\n   * this function:\n   *\n   * erfc(x) = (e^(-x^2) / x) * [ 1/sqrt(pi) +\n   *               n\n   *    1/(x^2) * sum (p_j * x^(-2j)) / (q_j * x^(-2j)) ]\n   *              j=0\n   */\n\n\n  function erfc3(y) {\n    var ysq = 1 / (y * y);\n    var xnum = P[2][5] * ysq;\n    var xden = ysq;\n    var i;\n\n    for (i = 0; i < 4; i += 1) {\n      xnum = (xnum + P[2][i]) * ysq;\n      xden = (xden + Q[2][i]) * ysq;\n    }\n\n    var result = ysq * (xnum + P[2][4]) / (xden + Q[2][4]);\n    result = (SQRPI - result) / y;\n    ysq = parseInt(y * 16) / 16;\n    var del = (y - ysq) * (y + ysq);\n    return Math.exp(-ysq * ysq) * Math.exp(-del) * result;\n  }\n\n  erf.toTex = {\n    1: \"erf\\\\left(${args[0]}\\\\right)\"\n  };\n  return erf;\n}\n/**\n * Upper bound for the first approximation interval, 0 <= x <= THRESH\n * @constant\n */\n\n\nvar THRESH = 0.46875;\n/**\n * Constant used by W. J. Cody's Fortran77 implementation to denote sqrt(pi)\n * @constant\n */\n\nvar SQRPI = 5.6418958354775628695e-1;\n/**\n * Coefficients for each term of the numerator sum (p_j) for each approximation\n * interval (see W. J. Cody's paper for more details)\n * @constant\n */\n\nvar P = [[3.16112374387056560e00, 1.13864154151050156e02, 3.77485237685302021e02, 3.20937758913846947e03, 1.85777706184603153e-1], [5.64188496988670089e-1, 8.88314979438837594e00, 6.61191906371416295e01, 2.98635138197400131e02, 8.81952221241769090e02, 1.71204761263407058e03, 2.05107837782607147e03, 1.23033935479799725e03, 2.15311535474403846e-8], [3.05326634961232344e-1, 3.60344899949804439e-1, 1.25781726111229246e-1, 1.60837851487422766e-2, 6.58749161529837803e-4, 1.63153871373020978e-2]];\n/**\n * Coefficients for each term of the denominator sum (q_j) for each approximation\n * interval (see W. J. Cody's paper for more details)\n * @constant\n */\n\nvar Q = [[2.36012909523441209e01, 2.44024637934444173e02, 1.28261652607737228e03, 2.84423683343917062e03], [1.57449261107098347e01, 1.17693950891312499e02, 5.37181101862009858e02, 1.62138957456669019e03, 3.29079923573345963e03, 4.36261909014324716e03, 3.43936767414372164e03, 1.23033935480374942e03], [2.56852019228982242e00, 1.87295284992346047e00, 5.27905102951428412e-1, 6.05183413124413191e-2, 2.33520497626869185e-3]];\n/**\n * Maximum/minimum safe numbers to input to erf() (in ES6+, this number is\n * Number.[MAX|MIN]_SAFE_INTEGER). erf() for all numbers beyond this limit will\n * return 1\n */\n\nvar MAX_NUM = Math.pow(2, 53);\nexports.name = 'erf';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./mad'), require('./max'), require('./mean'), require('./median'), require('./min'), require('./mode'), require('./prod'), require('./quantileSeq'), require('./std'), require('./sum'), require('./var')];","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var abs = load(require('../arithmetic/abs'));\n  var map = load(require('../matrix/map'));\n  var median = load(require('../statistics/median'));\n  var subtract = load(require('../arithmetic/subtract'));\n  var improveErrorMessage = load(require('./utils/improveErrorMessage'));\n  /**\n   * Compute the median absolute deviation of a matrix or a list with values.\n   * The median absolute deviation is defined as the median of the absolute\n   * deviations from the median.\n   *\n   * Syntax:\n   *\n   *     math.mad(a, b, c, ...)\n   *     math.mad(A)\n   *\n   * Examples:\n   *\n   *     math.mad(10, 20, 30)             // returns 10\n   *     math.mad([1, 2, 3])              // returns 1\n   *     math.mad([[1, 2, 3], [4, 5, 6]]) // returns 1.5\n   *\n   * See also:\n   *\n   *     median, mean, std, abs\n   *\n   * @param {Array | Matrix} array\n   *                        A single matrix or multiple scalar values.\n   * @return {*} The median absolute deviation.\n   */\n\n  var mad = typed('mad', {\n    // mad([a, b, c, d, ...])\n    'Array | Matrix': _mad,\n    // mad(a, b, c, d, ...)\n    '...': function _(args) {\n      return _mad(args);\n    }\n  });\n  mad.toTex = undefined; // use default template\n\n  return mad;\n\n  function _mad(array) {\n    array = flatten(array.valueOf());\n\n    if (array.length === 0) {\n      throw new Error('Cannot calculate median absolute deviation (mad) of an empty array');\n    }\n\n    try {\n      var med = median(array);\n      return median(map(array, function (value) {\n        return abs(subtract(value, med));\n      }));\n    } catch (err) {\n      if (err instanceof TypeError && err.message.indexOf('median') !== -1) {\n        throw new TypeError(err.message.replace('median', 'mad'));\n      } else {\n        throw improveErrorMessage(err, 'mad');\n      }\n    }\n  }\n}\n\nexports.name = 'mad';\nexports.factory = factory;","'use strict';\n\nvar flatten = require('../../utils/array').flatten;\n\nfunction factory(type, config, load, typed) {\n  var isNaN = load(require('../utils/isNaN'));\n  var isNumeric = load(require('../utils/isNumeric'));\n  /**\n  * Computes the mode of a set of numbers or a list with values(numbers or characters).\n  * If there are more than one modes, it returns a list of those values.\n  *\n  * Syntax:\n  *\n  *     math.mode(a, b, c, ...)\n  *     math.mode(A)\n  *\n  * Examples:\n  *\n  *     math.mode(2, 1, 4, 3, 1)                            // returns [1]\n  *     math.mode([1, 2.7, 3.2, 4, 2.7])                    // returns [2.7]\n  *     math.mode(1, 4, 6, 1, 6)                             // returns [1, 6]\n  *     math.mode('a','a','b','c')                           // returns [\"a\"]\n  *     math.mode(1, 1.5, 'abc')                             // returns [1, 1.5, \"abc\"]\n  *\n  * See also:\n  *\n  *     median,\n  *     mean\n  *\n  * @param {... *} args  A single matrix\n  * @return {*} The mode of all values\n  */\n\n  var mode = typed('mode', {\n    'Array | Matrix': _mode,\n    '...': function _(args) {\n      return _mode(args);\n    }\n  });\n  return mode;\n  /**\n   * Calculates the mode in an 1-dimensional array\n   * @param {Array} values\n   * @return {Array} mode\n   * @private\n   */\n\n  function _mode(values) {\n    values = flatten(values.valueOf());\n    var num = values.length;\n\n    if (num === 0) {\n      throw new Error('Cannot calculate mode of an empty array');\n    }\n\n    var count = {};\n    var mode = [];\n    var max = 0;\n\n    for (var i = 0; i < values.length; i++) {\n      var value = values[i];\n\n      if (isNumeric(value) && isNaN(value)) {\n        throw new Error('Cannot calculate mode of an array containing NaN values');\n      }\n\n      if (!(value in count)) {\n        count[value] = 0;\n      }\n\n      count[value]++;\n\n      if (count[value] === max) {\n        mode.push(value);\n      } else if (count[value] > max) {\n        max = count[value];\n        mode = [value];\n      }\n    }\n\n    return mode;\n  }\n}\n\nexports.name = 'mode';\nexports.factory = factory;","'use strict';\n\nvar deepForEach = require('../../utils/collection/deepForEach');\n\nfunction factory(type, config, load, typed) {\n  var multiply = load(require('../arithmetic/multiplyScalar'));\n  var improveErrorMessage = load(require('./utils/improveErrorMessage'));\n  /**\n   * Compute the product of a matrix or a list with values.\n   * In case of a (multi dimensional) array or matrix, the sum of all\n   * elements will be calculated.\n   *\n   * Syntax:\n   *\n   *     math.prod(a, b, c, ...)\n   *     math.prod(A)\n   *\n   * Examples:\n   *\n   *     math.multiply(2, 3)           // returns 6\n   *     math.prod(2, 3)               // returns 6\n   *     math.prod(2, 3, 4)            // returns 24\n   *     math.prod([2, 3, 4])          // returns 24\n   *     math.prod([[2, 5], [4, 3]])   // returns 120\n   *\n   * See also:\n   *\n   *    mean, median, min, max, sum, std, var\n   *\n   * @param {... *} args  A single matrix or or multiple scalar values\n   * @return {*} The product of all values\n   */\n\n  var prod = typed('prod', {\n    // prod([a, b, c, d, ...])\n    'Array | Matrix': _prod,\n    // prod([a, b, c, d, ...], dim)\n    'Array | Matrix, number | BigNumber': function ArrayMatrixNumberBigNumber(array, dim) {\n      // TODO: implement prod(A, dim)\n      throw new Error('prod(A, dim) is not yet supported'); // return reduce(arguments[0], arguments[1], math.prod)\n    },\n    // prod(a, b, c, d, ...)\n    '...': function _(args) {\n      return _prod(args);\n    }\n  });\n  prod.toTex = undefined; // use default template\n\n  return prod;\n  /**\n   * Recursively calculate the product of an n-dimensional array\n   * @param {Array} array\n   * @return {number} prod\n   * @private\n   */\n\n  function _prod(array) {\n    var prod;\n    deepForEach(array, function (value) {\n      try {\n        prod = prod === undefined ? value : multiply(prod, value);\n      } catch (err) {\n        throw improveErrorMessage(err, 'prod', value);\n      }\n    });\n\n    if (prod === undefined) {\n      throw new Error('Cannot calculate prod of an empty array');\n    }\n\n    return prod;\n  }\n}\n\nexports.name = 'prod';\nexports.factory = factory;","'use strict';\n\nvar isInteger = require('../../utils/number').isInteger;\n\nvar isNumber = require('../../utils/number').isNumber;\n\nvar flatten = require('../../utils/array').flatten;\n\nvar isCollection = require('../../utils/collection/isCollection');\n\nfunction factory(type, config, load, typed) {\n  var add = load(require('../arithmetic/add'));\n  var multiply = load(require('../arithmetic/multiply'));\n  var partitionSelect = load(require('../matrix/partitionSelect'));\n  var compare = load(require('../relational/compare'));\n  /**\n   * Compute the prob order quantile of a matrix or a list with values.\n   * The sequence is sorted and the middle value is returned.\n   * Supported types of sequence values are: Number, BigNumber, Unit\n   * Supported types of probability are: Number, BigNumber\n   *\n   * In case of a (multi dimensional) array or matrix, the prob order quantile\n   * of all elements will be calculated.\n   *\n   * Syntax:\n   *\n   *     math.quantileSeq(A, prob[, sorted])\n   *     math.quantileSeq(A, [prob1, prob2, ...][, sorted])\n   *     math.quantileSeq(A, N[, sorted])\n   *\n   * Examples:\n   *\n   *     math.quantileSeq([3, -1, 5, 7], 0.5)         // returns 4\n   *     math.quantileSeq([3, -1, 5, 7], [1/3, 2/3])  // returns [3, 5]\n   *     math.quantileSeq([3, -1, 5, 7], 2)           // returns [3, 5]\n   *     math.quantileSeq([-1, 3, 5, 7], 0.5, true)   // returns 4\n   *\n   * See also:\n   *\n   *     median, mean, min, max, sum, prod, std, var\n   *\n   * @param {Array, Matrix} data                A single matrix or Array\n   * @param {Number, BigNumber, Array} probOrN  prob is the order of the quantile, while N is\n   *                                            the amount of evenly distributed steps of\n   *                                            probabilities; only one of these options can\n   *                                            be provided\n   * @param {Boolean} sorted=false              is data sorted in ascending order\n   * @return {Number, BigNumber, Unit, Array}   Quantile(s)\n   */\n\n  function quantileSeq(data, probOrN, sorted) {\n    var probArr, dataArr, one;\n\n    if (arguments.length < 2 || arguments.length > 3) {\n      throw new SyntaxError('Function quantileSeq requires two or three parameters');\n    }\n\n    if (isCollection(data)) {\n      sorted = sorted || false;\n\n      if (typeof sorted === 'boolean') {\n        dataArr = data.valueOf();\n\n        if (isNumber(probOrN)) {\n          if (probOrN < 0) {\n            throw new Error('N/prob must be non-negative');\n          }\n\n          if (probOrN <= 1) {\n            // quantileSeq([a, b, c, d, ...], prob[,sorted])\n            return _quantileSeq(dataArr, probOrN, sorted);\n          }\n\n          if (probOrN > 1) {\n            // quantileSeq([a, b, c, d, ...], N[,sorted])\n            if (!isInteger(probOrN)) {\n              throw new Error('N must be a positive integer');\n            }\n\n            var nPlusOne = probOrN + 1;\n            probArr = new Array(probOrN);\n\n            for (var i = 0; i < probOrN;) {\n              probArr[i] = _quantileSeq(dataArr, ++i / nPlusOne, sorted);\n            }\n\n            return probArr;\n          }\n        }\n\n        if (type.isBigNumber(probOrN)) {\n          if (probOrN.isNegative()) {\n            throw new Error('N/prob must be non-negative');\n          }\n\n          one = new probOrN.constructor(1);\n\n          if (probOrN.lte(one)) {\n            // quantileSeq([a, b, c, d, ...], prob[,sorted])\n            return new type.BigNumber(_quantileSeq(dataArr, probOrN, sorted));\n          }\n\n          if (probOrN.gt(one)) {\n            // quantileSeq([a, b, c, d, ...], N[,sorted])\n            if (!probOrN.isInteger()) {\n              throw new Error('N must be a positive integer');\n            } // largest possible Array length is 2^32-1\n            // 2^32 < 10^15, thus safe conversion guaranteed\n\n\n            var intN = probOrN.toNumber();\n\n            if (intN > 4294967295) {\n              throw new Error('N must be less than or equal to 2^32-1, as that is the maximum length of an Array');\n            }\n\n            var _nPlusOne = new type.BigNumber(intN + 1);\n\n            probArr = new Array(intN);\n\n            for (var _i = 0; _i < intN;) {\n              probArr[_i] = new type.BigNumber(_quantileSeq(dataArr, new type.BigNumber(++_i).div(_nPlusOne), sorted));\n            }\n\n            return probArr;\n          }\n        }\n\n        if (Array.isArray(probOrN)) {\n          // quantileSeq([a, b, c, d, ...], [prob1, prob2, ...][,sorted])\n          probArr = new Array(probOrN.length);\n\n          for (var _i2 = 0; _i2 < probArr.length; ++_i2) {\n            var currProb = probOrN[_i2];\n\n            if (isNumber(currProb)) {\n              if (currProb < 0 || currProb > 1) {\n                throw new Error('Probability must be between 0 and 1, inclusive');\n              }\n            } else if (type.isBigNumber(currProb)) {\n              one = new currProb.constructor(1);\n\n              if (currProb.isNegative() || currProb.gt(one)) {\n                throw new Error('Probability must be between 0 and 1, inclusive');\n              }\n            } else {\n              throw new TypeError('Unexpected type of argument in function quantileSeq'); // FIXME: becomes redundant when converted to typed-function\n            }\n\n            probArr[_i2] = _quantileSeq(dataArr, currProb, sorted);\n          }\n\n          return probArr;\n        }\n\n        throw new TypeError('Unexpected type of argument in function quantileSeq'); // FIXME: becomes redundant when converted to typed-function\n      }\n\n      throw new TypeError('Unexpected type of argument in function quantileSeq'); // FIXME: becomes redundant when converted to typed-function\n    }\n\n    throw new TypeError('Unexpected type of argument in function quantileSeq'); // FIXME: becomes redundant when converted to typed-function\n  }\n  /**\n   * Calculate the prob order quantile of an n-dimensional array.\n   *\n   * @param {Array} array\n   * @param {Number, BigNumber} prob\n   * @param {Boolean} sorted\n   * @return {Number, BigNumber, Unit} prob order quantile\n   * @private\n   */\n\n\n  function _quantileSeq(array, prob, sorted) {\n    var flat = flatten(array);\n    var len = flat.length;\n\n    if (len === 0) {\n      throw new Error('Cannot calculate quantile of an empty sequence');\n    }\n\n    if (isNumber(prob)) {\n      var _index = prob * (len - 1);\n\n      var _fracPart = _index % 1;\n\n      if (_fracPart === 0) {\n        var value = sorted ? flat[_index] : partitionSelect(flat, _index);\n        validate(value);\n        return value;\n      }\n\n      var _integerPart = Math.floor(_index);\n\n      var _left;\n\n      var _right;\n\n      if (sorted) {\n        _left = flat[_integerPart];\n        _right = flat[_integerPart + 1];\n      } else {\n        _right = partitionSelect(flat, _integerPart + 1); // max of partition is kth largest\n\n        _left = flat[_integerPart];\n\n        for (var i = 0; i < _integerPart; ++i) {\n          if (compare(flat[i], _left) > 0) {\n            _left = flat[i];\n          }\n        }\n      }\n\n      validate(_left);\n      validate(_right); // Q(prob) = (1-f)*A[floor(index)] + f*A[floor(index)+1]\n\n      return add(multiply(_left, 1 - _fracPart), multiply(_right, _fracPart));\n    } // If prob is a BigNumber\n\n\n    var index = prob.times(len - 1);\n\n    if (index.isInteger()) {\n      index = index.toNumber();\n\n      var _value = sorted ? flat[index] : partitionSelect(flat, index);\n\n      validate(_value);\n      return _value;\n    }\n\n    var integerPart = index.floor();\n    var fracPart = index.minus(integerPart);\n    var integerPartNumber = integerPart.toNumber();\n    var left;\n    var right;\n\n    if (sorted) {\n      left = flat[integerPartNumber];\n      right = flat[integerPartNumber + 1];\n    } else {\n      right = partitionSelect(flat, integerPartNumber + 1); // max of partition is kth largest\n\n      left = flat[integerPartNumber];\n\n      for (var _i3 = 0; _i3 < integerPartNumber; ++_i3) {\n        if (compare(flat[_i3], left) > 0) {\n          left = flat[_i3];\n        }\n      }\n    }\n\n    validate(left);\n    validate(right); // Q(prob) = (1-f)*A[floor(index)] + f*A[floor(index)+1]\n\n    var one = new fracPart.constructor(1);\n    return add(multiply(left, one.minus(fracPart)), multiply(right, fracPart));\n  }\n  /**\n   * Check if array value types are valid, throw error otherwise.\n   * @param {number | BigNumber | Unit} x\n   * @param {number | BigNumber | Unit} x\n   * @private\n   */\n\n\n  var validate = typed({\n    'number | BigNumber | Unit': function numberBigNumberUnit(x) {\n      return x;\n    }\n  });\n  return quantileSeq;\n}\n\nexports.name = 'quantileSeq';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var sqrt = load(require('../arithmetic/sqrt'));\n  var variance = load(require('../statistics/var'));\n  /**\n   * Compute the standard deviation of a matrix or a  list with values.\n   * The standard deviations is defined as the square root of the variance:\n   * `std(A) = sqrt(var(A))`.\n   * In case of a (multi dimensional) array or matrix, the standard deviation\n   * over all elements will be calculated.\n   *\n   * Optionally, the type of normalization can be specified as second\n   * parameter. The parameter `normalization` can be one of the following values:\n   *\n   * - 'unbiased' (default) The sum of squared errors is divided by (n - 1)\n   * - 'uncorrected'        The sum of squared errors is divided by n\n   * - 'biased'             The sum of squared errors is divided by (n + 1)\n   *\n   * Syntax:\n   *\n   *     math.std(a, b, c, ...)\n   *     math.std(A)\n   *     math.std(A, normalization)\n   *\n   * Examples:\n   *\n   *     math.std(2, 4, 6)                     // returns 2\n   *     math.std([2, 4, 6, 8])                // returns 2.581988897471611\n   *     math.std([2, 4, 6, 8], 'uncorrected') // returns 2.23606797749979\n   *     math.std([2, 4, 6, 8], 'biased')      // returns 2\n   *\n   *     math.std([[1, 2, 3], [4, 5, 6]])      // returns 1.8708286933869707\n   *\n   * See also:\n   *\n   *    mean, median, max, min, prod, sum, var\n   *\n   * @param {Array | Matrix} array\n   *                        A single matrix or or multiple scalar values\n   * @param {string} [normalization='unbiased']\n   *                        Determines how to normalize the variance.\n   *                        Choose 'unbiased' (default), 'uncorrected', or 'biased'.\n   * @return {*} The standard deviation\n   */\n\n  var std = typed('std', {\n    // std([a, b, c, d, ...])\n    'Array | Matrix': _std,\n    // std([a, b, c, d, ...], normalization)\n    'Array | Matrix, string': _std,\n    // std(a, b, c, d, ...)\n    '...': function _(args) {\n      return _std(args);\n    }\n  });\n  std.toTex = undefined; // use default template\n\n  return std;\n\n  function _std(array, normalization) {\n    if (array.length === 0) {\n      throw new SyntaxError('Function std requires one or more parameters (0 provided)');\n    }\n\n    try {\n      return sqrt(variance.apply(null, arguments));\n    } catch (err) {\n      if (err instanceof TypeError && err.message.indexOf(' var') !== -1) {\n        throw new TypeError(err.message.replace(' var', ' std'));\n      } else {\n        throw err;\n      }\n    }\n  }\n}\n\nexports.name = 'std';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./format'), require('./print')];","'use strict';\n\nvar isString = require('../../utils/string').isString;\n\nvar format = require('../../utils/string').format;\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Interpolate values into a string template.\n   *\n   * Syntax:\n   *\n   *     math.print(template, values)\n   *     math.print(template, values, precision)\n   *     math.print(template, values, options)\n   *\n   * Example usage:\n   *\n   *     // the following outputs: 'Lucy is 5 years old'\n   *     math.print('Lucy is $age years old', {age: 5})\n   *\n   *     // the following outputs: 'The value of pi is 3.141592654'\n   *     math.print('The value of pi is $pi', {pi: math.pi}, 10)\n   *\n   *     // the following outputs: 'hello Mary! The date is 2013-03-23'\n   *     math.print('Hello $user.name! The date is $date', {\n   *       user: {\n   *         name: 'Mary',\n   *       },\n   *       date: new Date(2013, 2, 23).toISOString().substring(0, 10)\n   *     })\n   *\n   *     // the following outputs: 'My favorite fruits are apples and bananas !'\n   *     math.print('My favorite fruits are $0 and $1 !', [\n   *       'apples',\n   *       'bananas'\n   *     ])\n   *\n   * See also:\n   *\n   *     format\n   *\n   * @param {string} template           A string containing variable placeholders.\n   * @param {Object | Array | Matrix}   values An object or array containing variables\n   *                                    which will be filled in in the template.\n   * @param {number | Object} [options] Formatting options,\n   *                                    or the number of digits to format numbers.\n   *                                    See function math.format for a description\n   *                                    of all options.\n   * @return {string} Interpolated string\n   */\n  var print = typed('print', {\n    // note: Matrix will be converted automatically to an Array\n    'string, Object | Array': _print,\n    'string, Object | Array, number | Object': _print\n  });\n  print.toTex = undefined; // use default template\n\n  return print;\n}\n/**\n * Interpolate values into a string template.\n * @param {string} template\n * @param {Object} values\n * @param {number | Object} [options]\n * @returns {string} Interpolated string\n * @private\n */\n\n\nfunction _print(template, values, options) {\n  return template.replace(/\\$([\\w.]+)/g, function (original, key) {\n    var keys = key.split('.');\n    var value = values[keys.shift()];\n\n    while (keys.length && value !== undefined) {\n      var k = keys.shift();\n      value = k ? value[k] : value + '.';\n    }\n\n    if (value !== undefined) {\n      if (!isString(value)) {\n        return format(value, options);\n      } else {\n        return value;\n      }\n    }\n\n    return original;\n  });\n}\n\nexports.name = 'print';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./acos'), require('./acosh'), require('./acot'), require('./acoth'), require('./acsc'), require('./acsch'), require('./asec'), require('./asech'), require('./asin'), require('./asinh'), require('./atan'), require('./atan2'), require('./atanh'), require('./cos'), require('./cosh'), require('./cot'), require('./coth'), require('./csc'), require('./csch'), require('./sec'), require('./sech'), require('./sin'), require('./sinh'), require('./tan'), require('./tanh')];","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the inverse cosine of a value.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.acos(x)\n   *\n   * Examples:\n   *\n   *    math.acos(0.5)           // returns number 1.0471975511965979\n   *    math.acos(math.cos(1.5)) // returns number 1.5\n   *\n   *    math.acos(2)             // returns Complex 0 + 1.3169578969248166 i\n   *\n   * See also:\n   *\n   *    cos, atan, asin\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x  Function input\n   * @return {number | BigNumber | Complex | Array | Matrix} The arc cosine of x\n   */\n  var acos = typed('acos', {\n    'number': function number(x) {\n      if (x >= -1 && x <= 1 || config.predictable) {\n        return Math.acos(x);\n      } else {\n        return new type.Complex(x, 0).acos();\n      }\n    },\n    'Complex': function Complex(x) {\n      return x.acos();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.acos();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, acos);\n    }\n  });\n  acos.toTex = {\n    1: \"\\\\cos^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return acos;\n}\n\nexports.name = 'acos';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic arccos of a value,\n   * defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.acosh(x)\n   *\n   * Examples:\n   *\n   *    math.acosh(1.5)       // returns 0.9624236501192069\n   *\n   * See also:\n   *\n   *    cosh, asinh, atanh\n   *\n   * @param {number | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Hyperbolic arccosine of x\n   */\n  var acosh = typed('acosh', {\n    'number': function number(x) {\n      if (x >= 1 || config.predictable) {\n        return _acosh(x);\n      }\n\n      if (x <= -1) {\n        return new type.Complex(Math.log(Math.sqrt(x * x - 1) - x), Math.PI);\n      }\n\n      return new type.Complex(x, 0).acosh();\n    },\n    'Complex': function Complex(x) {\n      return x.acosh();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.acosh();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, acosh);\n    }\n  });\n  acosh.toTex = {\n    1: \"\\\\cosh^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return acosh;\n}\n/**\n * Calculate the hyperbolic arccos of a number\n * @param {number} x\n * @return {number}\n * @private\n */\n\n\nvar _acosh = Math.acosh || function (x) {\n  return Math.log(Math.sqrt(x * x - 1) + x);\n};\n\nexports.name = 'acosh';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the inverse cotangent of a value, defined as `acot(x) = atan(1/x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.acot(x)\n   *\n   * Examples:\n   *\n   *    math.acot(0.5)           // returns number 0.4636476090008061\n   *    math.acot(math.cot(1.5)) // returns number 1.5\n   *\n   *    math.acot(2)             // returns Complex 1.5707963267948966 -1.3169578969248166 i\n   *\n   * See also:\n   *\n   *    cot, atan\n   *\n   * @param {number | Complex | Array | Matrix} x   Function input\n   * @return {number | Complex | Array | Matrix} The arc cotangent of x\n   */\n  var acot = typed('acot', {\n    'number': function number(x) {\n      return Math.atan(1 / x);\n    },\n    'Complex': function Complex(x) {\n      return x.acot();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x).atan();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, acot);\n    }\n  });\n  acot.toTex = {\n    1: \"\\\\cot^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return acot;\n}\n\nexports.name = 'acot';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic arccotangent of a value,\n   * defined as `acoth(x) = atanh(1/x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.acoth(x)\n   *\n   * Examples:\n   *\n   *    math.acoth(0.5)       // returns 0.8047189562170503\n   *\n   * See also:\n   *\n   *    acsch, asech\n   *\n   * @param {number | Complex | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Hyperbolic arccotangent of x\n   */\n  var acoth = typed('acoth', {\n    'number': function number(x) {\n      if (x >= 1 || x <= -1 || config.predictable) {\n        return isFinite(x) ? (Math.log((x + 1) / x) + Math.log(x / (x - 1))) / 2 : 0;\n      }\n\n      return new type.Complex(x, 0).acoth();\n    },\n    'Complex': function Complex(x) {\n      return x.acoth();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x).atanh();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, acoth);\n    }\n  });\n  acoth.toTex = {\n    1: \"\\\\coth^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return acoth;\n}\n\nexports.name = 'acoth';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the inverse cosecant of a value, defined as `acsc(x) = asin(1/x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.acsc(x)\n   *\n   * Examples:\n   *\n   *    math.acsc(0.5)           // returns number 0.5235987755982989\n   *    math.acsc(math.csc(1.5)) // returns number ~1.5\n   *\n   *    math.acsc(2)             // returns Complex 1.5707963267948966 -1.3169578969248166 i\n   *\n   * See also:\n   *\n   *    csc, asin, asec\n   *\n   * @param {number | Complex | Array | Matrix} x   Function input\n   * @return {number | Complex | Array | Matrix} The arc cosecant of x\n   */\n  var acsc = typed('acsc', {\n    'number': function number(x) {\n      if (x <= -1 || x >= 1 || config.predictable) {\n        return Math.asin(1 / x);\n      }\n\n      return new type.Complex(x, 0).acsc();\n    },\n    'Complex': function Complex(x) {\n      return x.acsc();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x).asin();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, acsc);\n    }\n  });\n  acsc.toTex = {\n    1: \"\\\\csc^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return acsc;\n}\n\nexports.name = 'acsc';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic arccosecant of a value,\n   * defined as `acsch(x) = asinh(1/x) = ln(1/x + sqrt(1/x^2 + 1))`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.acsch(x)\n   *\n   * Examples:\n   *\n   *    math.acsch(0.5)       // returns 1.4436354751788103\n   *\n   * See also:\n   *\n   *    asech, acoth\n   *\n   * @param {number | Complex | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Hyperbolic arccosecant of x\n   */\n  var acsch = typed('acsch', {\n    'number': function number(x) {\n      x = 1 / x;\n      return Math.log(x + Math.sqrt(x * x + 1));\n    },\n    'Complex': function Complex(x) {\n      return x.acsch();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x).asinh();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, acsch);\n    }\n  });\n  acsch.toTex = {\n    1: \"\\\\mathrm{csch}^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return acsch;\n}\n\nexports.name = 'acsch';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the inverse secant of a value. Defined as `asec(x) = acos(1/x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.asec(x)\n   *\n   * Examples:\n   *\n   *    math.asec(0.5)           // returns 1.0471975511965979\n   *    math.asec(math.sec(1.5)) // returns 1.5\n   *\n   *    math.asec(2)             // returns 0 + 1.3169578969248166 i\n   *\n   * See also:\n   *\n   *    acos, acot, acsc\n   *\n   * @param {number | Complex | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} The arc secant of x\n   */\n  var asec = typed('asec', {\n    'number': function number(x) {\n      if (x <= -1 || x >= 1 || config.predictable) {\n        return Math.acos(1 / x);\n      }\n\n      return new type.Complex(x, 0).asec();\n    },\n    'Complex': function Complex(x) {\n      return x.asec();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x).acos();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, asec);\n    }\n  });\n  asec.toTex = {\n    1: \"\\\\sec^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return asec;\n}\n\nexports.name = 'asec';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic arcsecant of a value,\n   * defined as `asech(x) = acosh(1/x) = ln(sqrt(1/x^2 - 1) + 1/x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.asech(x)\n   *\n   * Examples:\n   *\n   *    math.asech(0.5)       // returns 1.3169578969248166\n   *\n   * See also:\n   *\n   *    acsch, acoth\n   *\n   * @param {number | Complex | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Hyperbolic arcsecant of x\n   */\n  var asech = typed('asech', {\n    'number': function number(x) {\n      if (x <= 1 && x >= -1 || config.predictable) {\n        x = 1 / x;\n        var ret = Math.sqrt(x * x - 1);\n\n        if (x > 0 || config.predictable) {\n          return Math.log(ret + x);\n        }\n\n        return new type.Complex(Math.log(ret - x), Math.PI);\n      }\n\n      return new type.Complex(x, 0).asech();\n    },\n    'Complex': function Complex(x) {\n      return x.asech();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x).acosh();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, asech);\n    }\n  });\n  asech.toTex = {\n    1: \"\\\\mathrm{sech}^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return asech;\n}\n\nexports.name = 'asech';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the inverse sine of a value.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.asin(x)\n   *\n   * Examples:\n   *\n   *    math.asin(0.5)           // returns number 0.5235987755982989\n   *    math.asin(math.sin(1.5)) // returns number ~1.5\n   *\n   *    math.asin(2)             // returns Complex 1.5707963267948966 -1.3169578969248166 i\n   *\n   * See also:\n   *\n   *    sin, atan, acos\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x   Function input\n   * @return {number | BigNumber | Complex | Array | Matrix} The arc sine of x\n   */\n  var asin = typed('asin', {\n    'number': function number(x) {\n      if (x >= -1 && x <= 1 || config.predictable) {\n        return Math.asin(x);\n      } else {\n        return new type.Complex(x, 0).asin();\n      }\n    },\n    'Complex': function Complex(x) {\n      return x.asin();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.asin();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since asin(0) = 0\n      return deepMap(x, asin, true);\n    }\n  });\n  asin.toTex = {\n    1: \"\\\\sin^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return asin;\n}\n\nexports.name = 'asin';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic arcsine of a value,\n   * defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.asinh(x)\n   *\n   * Examples:\n   *\n   *    math.asinh(0.5)       // returns 0.48121182505960347\n   *\n   * See also:\n   *\n   *    acosh, atanh\n   *\n   * @param {number | Complex | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Hyperbolic arcsine of x\n   */\n  var asinh = typed('asinh', {\n    'number': Math.asinh || function (x) {\n      return Math.log(Math.sqrt(x * x + 1) + x);\n    },\n    'Complex': function Complex(x) {\n      return x.asinh();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.asinh();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since asinh(0) = 0\n      return deepMap(x, asinh, true);\n    }\n  });\n  asinh.toTex = {\n    1: \"\\\\sinh^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return asinh;\n}\n\nexports.name = 'asinh';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the inverse tangent of a value.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.atan(x)\n   *\n   * Examples:\n   *\n   *    math.atan(0.5)           // returns number 0.4636476090008061\n   *    math.atan(math.tan(1.5)) // returns number 1.5\n   *\n   *    math.atan(2)             // returns Complex 1.5707963267948966 -1.3169578969248166 i\n   *\n   * See also:\n   *\n   *    tan, asin, acos\n   *\n   * @param {number | BigNumber | Complex | Array | Matrix} x   Function input\n   * @return {number | BigNumber | Complex | Array | Matrix} The arc tangent of x\n   */\n  var atan = typed('atan', {\n    'number': function number(x) {\n      return Math.atan(x);\n    },\n    'Complex': function Complex(x) {\n      return x.atan();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.atan();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since atan(0) = 0\n      return deepMap(x, atan, true);\n    }\n  });\n  atan.toTex = {\n    1: \"\\\\tan^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return atan;\n}\n\nexports.name = 'atan';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm02 = load(require('../../type/matrix/utils/algorithm02'));\n  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));\n  var algorithm09 = load(require('../../type/matrix/utils/algorithm09'));\n  var algorithm11 = load(require('../../type/matrix/utils/algorithm11'));\n  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Calculate the inverse tangent function with two arguments, y/x.\n   * By providing two arguments, the right quadrant of the computed angle can be\n   * determined.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.atan2(y, x)\n   *\n   * Examples:\n   *\n   *    math.atan2(2, 2) / math.pi       // returns number 0.25\n   *\n   *    const angle = math.unit(60, 'deg') // returns Unit 60 deg\n   *    const x = math.cos(angle)\n   *    const y = math.sin(angle)\n   *\n   *    math.atan(2)             // returns Complex 1.5707963267948966 -1.3169578969248166 i\n   *\n   * See also:\n   *\n   *    tan, atan, sin, cos\n   *\n   * @param {number | Array | Matrix} y  Second dimension\n   * @param {number | Array | Matrix} x  First dimension\n   * @return {number | Array | Matrix} Four-quadrant inverse tangent\n   */\n\n  var atan2 = typed('atan2', {\n    'number, number': Math.atan2,\n    // Complex numbers doesn't seem to have a reasonable implementation of\n    // atan2(). Even Matlab removed the support, after they only calculated\n    // the atan only on base of the real part of the numbers and ignored the imaginary.\n    'BigNumber, BigNumber': function BigNumberBigNumber(y, x) {\n      return type.BigNumber.atan2(y, x);\n    },\n    'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {\n      return algorithm09(x, y, atan2, false);\n    },\n    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {\n      // mind the order of y and x!\n      return algorithm02(y, x, atan2, true);\n    },\n    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {\n      return algorithm03(x, y, atan2, false);\n    },\n    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {\n      return algorithm13(x, y, atan2);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      return atan2(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      return atan2(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      return atan2(x, matrix(y));\n    },\n    'SparseMatrix, number | BigNumber': function SparseMatrixNumberBigNumber(x, y) {\n      return algorithm11(x, y, atan2, false);\n    },\n    'DenseMatrix, number | BigNumber': function DenseMatrixNumberBigNumber(x, y) {\n      return algorithm14(x, y, atan2, false);\n    },\n    'number | BigNumber, SparseMatrix': function numberBigNumberSparseMatrix(x, y) {\n      // mind the order of y and x\n      return algorithm12(y, x, atan2, true);\n    },\n    'number | BigNumber, DenseMatrix': function numberBigNumberDenseMatrix(x, y) {\n      // mind the order of y and x\n      return algorithm14(y, x, atan2, true);\n    },\n    'Array, number | BigNumber': function ArrayNumberBigNumber(x, y) {\n      return algorithm14(matrix(x), y, atan2, false).valueOf();\n    },\n    'number | BigNumber, Array': function numberBigNumberArray(x, y) {\n      return algorithm14(matrix(y), x, atan2, true).valueOf();\n    }\n  });\n  atan2.toTex = {\n    2: \"\\\\mathrm{atan2}\\\\left(${args}\\\\right)\"\n  };\n  return atan2;\n}\n\nexports.name = 'atan2';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic arctangent of a value,\n   * defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.atanh(x)\n   *\n   * Examples:\n   *\n   *    math.atanh(0.5)       // returns 0.5493061443340549\n   *\n   * See also:\n   *\n   *    acosh, asinh\n   *\n   * @param {number | Complex | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Hyperbolic arctangent of x\n   */\n  var atanh = typed('atanh', {\n    'number': function number(x) {\n      if (x <= 1 && x >= -1 || config.predictable) {\n        return _atanh(x);\n      }\n\n      return new type.Complex(x, 0).atanh();\n    },\n    'Complex': function Complex(x) {\n      return x.atanh();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.atanh();\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since atanh(0) = 0\n      return deepMap(x, atanh, true);\n    }\n  });\n  atanh.toTex = {\n    1: \"\\\\tanh^{-1}\\\\left(${args[0]}\\\\right)\"\n  };\n  return atanh;\n}\n/**\n * Calculate the hyperbolic arctangent of a number\n * @param {number} x\n * @return {number}\n * @private\n */\n\n\nvar _atanh = Math.atanh || function (x) {\n  return Math.log((1 + x) / (1 - x)) / 2;\n};\n\nexports.name = 'atanh';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the cosine of a value.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.cos(x)\n   *\n   * Examples:\n   *\n   *    math.cos(2)                      // returns number -0.4161468365471422\n   *    math.cos(math.pi / 4)            // returns number  0.7071067811865475\n   *    math.cos(math.unit(180, 'deg'))  // returns number -1\n   *    math.cos(math.unit(60, 'deg'))   // returns number  0.5\n   *\n   *    const angle = 0.2\n   *    math.pow(math.sin(angle), 2) + math.pow(math.cos(angle), 2) // returns number ~1\n   *\n   * See also:\n   *\n   *    cos, tan\n   *\n   * @param {number | BigNumber | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | BigNumber | Complex | Array | Matrix} Cosine of x\n   */\n  var cos = typed('cos', {\n    'number': Math.cos,\n    'Complex': function Complex(x) {\n      return x.cos();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.cos();\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function cos is no angle');\n      }\n\n      return cos(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, cos);\n    }\n  });\n  cos.toTex = {\n    1: \"\\\\cos\\\\left(${args[0]}\\\\right)\"\n  };\n  return cos;\n}\n\nexports.name = 'cos';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic cosine of a value,\n   * defined as `cosh(x) = 1/2 * (exp(x) + exp(-x))`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.cosh(x)\n   *\n   * Examples:\n   *\n   *    math.cosh(0.5)       // returns number 1.1276259652063807\n   *\n   * See also:\n   *\n   *    sinh, tanh\n   *\n   * @param {number | BigNumber | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | BigNumber | Complex | Array | Matrix} Hyperbolic cosine of x\n   */\n  var cosh = typed('cosh', {\n    'number': _cosh,\n    'Complex': function Complex(x) {\n      return x.cosh();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.cosh();\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function cosh is no angle');\n      }\n\n      return cosh(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, cosh);\n    }\n  });\n  cosh.toTex = {\n    1: \"\\\\cosh\\\\left(${args[0]}\\\\right)\"\n  };\n  return cosh;\n}\n/**\n * Calculate the hyperbolic cosine of a number\n * @param {number} x\n * @returns {number}\n * @private\n */\n\n\nvar _cosh = Math.cosh || function (x) {\n  return (Math.exp(x) + Math.exp(-x)) / 2;\n};\n\nexports.name = 'cosh';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the cotangent of a value. Defined as `cot(x) = 1 / tan(x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.cot(x)\n   *\n   * Examples:\n   *\n   *    math.cot(2)      // returns number -0.45765755436028577\n   *    1 / math.tan(2)  // returns number -0.45765755436028577\n   *\n   * See also:\n   *\n   *    tan, sec, csc\n   *\n   * @param {number | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Cotangent of x\n   */\n  var cot = typed('cot', {\n    'number': function number(x) {\n      return 1 / Math.tan(x);\n    },\n    'Complex': function Complex(x) {\n      return x.cot();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x.tan());\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function cot is no angle');\n      }\n\n      return cot(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, cot);\n    }\n  });\n  cot.toTex = {\n    1: \"\\\\cot\\\\left(${args[0]}\\\\right)\"\n  };\n  return cot;\n}\n\nexports.name = 'cot';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic cotangent of a value,\n   * defined as `coth(x) = 1 / tanh(x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.coth(x)\n   *\n   * Examples:\n   *\n   *    // coth(x) = 1 / tanh(x)\n   *    math.coth(2)         // returns 1.0373147207275482\n   *    1 / math.tanh(2)     // returns 1.0373147207275482\n   *\n   * See also:\n   *\n   *    sinh, tanh, cosh\n   *\n   * @param {number | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Hyperbolic cotangent of x\n   */\n  var coth = typed('coth', {\n    'number': _coth,\n    'Complex': function Complex(x) {\n      return x.coth();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x.tanh());\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function coth is no angle');\n      }\n\n      return coth(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, coth);\n    }\n  });\n  coth.toTex = {\n    1: \"\\\\coth\\\\left(${args[0]}\\\\right)\"\n  };\n  return coth;\n}\n/**\n * Calculate the hyperbolic cosine of a number\n * @param {number} x\n * @returns {number}\n * @private\n */\n\n\nfunction _coth(x) {\n  var e = Math.exp(2 * x);\n  return (e + 1) / (e - 1);\n}\n\nexports.name = 'coth';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the cosecant of a value, defined as `csc(x) = 1/sin(x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.csc(x)\n   *\n   * Examples:\n   *\n   *    math.csc(2)      // returns number 1.099750170294617\n   *    1 / math.sin(2)  // returns number 1.099750170294617\n   *\n   * See also:\n   *\n   *    sin, sec, cot\n   *\n   * @param {number | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Cosecant of x\n   */\n  var csc = typed('csc', {\n    'number': function number(x) {\n      return 1 / Math.sin(x);\n    },\n    'Complex': function Complex(x) {\n      return x.csc();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x.sin());\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function csc is no angle');\n      }\n\n      return csc(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, csc);\n    }\n  });\n  csc.toTex = {\n    1: \"\\\\csc\\\\left(${args[0]}\\\\right)\"\n  };\n  return csc;\n}\n\nexports.name = 'csc';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nvar sign = require('../../utils/number').sign;\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic cosecant of a value,\n   * defined as `csch(x) = 1 / sinh(x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.csch(x)\n   *\n   * Examples:\n   *\n   *    // csch(x) = 1/ sinh(x)\n   *    math.csch(0.5)       // returns 1.9190347513349437\n   *    1 / math.sinh(0.5)   // returns 1.9190347513349437\n   *\n   * See also:\n   *\n   *    sinh, sech, coth\n   *\n   * @param {number | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Hyperbolic cosecant of x\n   */\n  var csch = typed('csch', {\n    'number': _csch,\n    'Complex': function Complex(x) {\n      return x.csch();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x.sinh());\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function csch is no angle');\n      }\n\n      return csch(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, csch);\n    }\n  });\n  csch.toTex = {\n    1: \"\\\\mathrm{csch}\\\\left(${args[0]}\\\\right)\"\n  };\n  return csch;\n}\n/**\n * Calculate the hyperbolic cosecant of a number\n * @param {number} x\n * @returns {number}\n * @private\n */\n\n\nfunction _csch(x) {\n  // consider values close to zero (+/-)\n  if (x === 0) {\n    return Number.POSITIVE_INFINITY;\n  } else {\n    return Math.abs(2 / (Math.exp(x) - Math.exp(-x))) * sign(x);\n  }\n}\n\nexports.name = 'csch';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the secant of a value, defined as `sec(x) = 1/cos(x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.sec(x)\n   *\n   * Examples:\n   *\n   *    math.sec(2)      // returns number -2.4029979617223822\n   *    1 / math.cos(2)  // returns number -2.4029979617223822\n   *\n   * See also:\n   *\n   *    cos, csc, cot\n   *\n   * @param {number | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Secant of x\n   */\n  var sec = typed('sec', {\n    'number': function number(x) {\n      return 1 / Math.cos(x);\n    },\n    'Complex': function Complex(x) {\n      return x.sec();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x.cos());\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function sec is no angle');\n      }\n\n      return sec(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, sec);\n    }\n  });\n  sec.toTex = {\n    1: \"\\\\sec\\\\left(${args[0]}\\\\right)\"\n  };\n  return sec;\n}\n\nexports.name = 'sec';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic secant of a value,\n   * defined as `sech(x) = 1 / cosh(x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.sech(x)\n   *\n   * Examples:\n   *\n   *    // sech(x) = 1/ cosh(x)\n   *    math.sech(0.5)       // returns 0.886818883970074\n   *    1 / math.cosh(0.5)   // returns 0.886818883970074\n   *\n   * See also:\n   *\n   *    cosh, csch, coth\n   *\n   * @param {number | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | Complex | Array | Matrix} Hyperbolic secant of x\n   */\n  var sech = typed('sech', {\n    'number': _sech,\n    'Complex': function Complex(x) {\n      return x.sech();\n    },\n    'BigNumber': function BigNumber(x) {\n      return new type.BigNumber(1).div(x.cosh());\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function sech is no angle');\n      }\n\n      return sech(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, sech);\n    }\n  });\n  sech.toTex = {\n    1: \"\\\\mathrm{sech}\\\\left(${args[0]}\\\\right)\"\n  };\n  return sech;\n}\n/**\n * Calculate the hyperbolic secant of a number\n * @param {number} x\n * @returns {number}\n * @private\n */\n\n\nfunction _sech(x) {\n  return 2 / (Math.exp(x) + Math.exp(-x));\n}\n\nexports.name = 'sech';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the sine of a value.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.sin(x)\n   *\n   * Examples:\n   *\n   *    math.sin(2)                      // returns number 0.9092974268256813\n   *    math.sin(math.pi / 4)            // returns number 0.7071067811865475\n   *    math.sin(math.unit(90, 'deg'))   // returns number 1\n   *    math.sin(math.unit(30, 'deg'))   // returns number 0.5\n   *\n   *    const angle = 0.2\n   *    math.pow(math.sin(angle), 2) + math.pow(math.cos(angle), 2) // returns number ~1\n   *\n   * See also:\n   *\n   *    cos, tan\n   *\n   * @param {number | BigNumber | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | BigNumber | Complex | Array | Matrix} Sine of x\n   */\n  var sin = typed('sin', {\n    'number': Math.sin,\n    'Complex': function Complex(x) {\n      return x.sin();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.sin();\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function sin is no angle');\n      }\n\n      return sin(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since sin(0) = 0\n      return deepMap(x, sin, true);\n    }\n  });\n  sin.toTex = {\n    1: \"\\\\sin\\\\left(${args[0]}\\\\right)\"\n  };\n  return sin;\n}\n\nexports.name = 'sin';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic sine of a value,\n   * defined as `sinh(x) = 1/2 * (exp(x) - exp(-x))`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.sinh(x)\n   *\n   * Examples:\n   *\n   *    math.sinh(0.5)       // returns number 0.5210953054937474\n   *\n   * See also:\n   *\n   *    cosh, tanh\n   *\n   * @param {number | BigNumber | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | BigNumber | Complex | Array | Matrix} Hyperbolic sine of x\n   */\n  var sinh = typed('sinh', {\n    'number': _sinh,\n    'Complex': function Complex(x) {\n      return x.sinh();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.sinh();\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function sinh is no angle');\n      }\n\n      return sinh(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since sinh(0) = 0\n      return deepMap(x, sinh, true);\n    }\n  });\n  sinh.toTex = {\n    1: \"\\\\sinh\\\\left(${args[0]}\\\\right)\"\n  };\n  return sinh;\n}\n/**\n * Calculate the hyperbolic sine of a number\n * @param {number} x\n * @returns {number}\n * @private\n */\n\n\nvar _sinh = Math.sinh || function (x) {\n  return (Math.exp(x) - Math.exp(-x)) / 2;\n};\n\nexports.name = 'sinh';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the tangent of a value. `tan(x)` is equal to `sin(x) / cos(x)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.tan(x)\n   *\n   * Examples:\n   *\n   *    math.tan(0.5)                    // returns number 0.5463024898437905\n   *    math.sin(0.5) / math.cos(0.5)    // returns number 0.5463024898437905\n   *    math.tan(math.pi / 4)            // returns number 1\n   *    math.tan(math.unit(45, 'deg'))   // returns number 1\n   *\n   * See also:\n   *\n   *    atan, sin, cos\n   *\n   * @param {number | BigNumber | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | BigNumber | Complex | Array | Matrix} Tangent of x\n   */\n  var tan = typed('tan', {\n    'number': Math.tan,\n    'Complex': function Complex(x) {\n      return x.tan();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.tan();\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function tan is no angle');\n      }\n\n      return tan(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since tan(0) = 0\n      return deepMap(x, tan, true);\n    }\n  });\n  tan.toTex = {\n    1: \"\\\\tan\\\\left(${args[0]}\\\\right)\"\n  };\n  return tan;\n}\n\nexports.name = 'tan';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Calculate the hyperbolic tangent of a value,\n   * defined as `tanh(x) = (exp(2 * x) - 1) / (exp(2 * x) + 1)`.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.tanh(x)\n   *\n   * Examples:\n   *\n   *    // tanh(x) = sinh(x) / cosh(x) = 1 / coth(x)\n   *    math.tanh(0.5)                   // returns 0.46211715726000974\n   *    math.sinh(0.5) / math.cosh(0.5)  // returns 0.46211715726000974\n   *    1 / math.coth(0.5)               // returns 0.46211715726000974\n   *\n   * See also:\n   *\n   *    sinh, cosh, coth\n   *\n   * @param {number | BigNumber | Complex | Unit | Array | Matrix} x  Function input\n   * @return {number | BigNumber | Complex | Array | Matrix} Hyperbolic tangent of x\n   */\n  var tanh = typed('tanh', {\n    'number': _tanh,\n    'Complex': function Complex(x) {\n      return x.tanh();\n    },\n    'BigNumber': function BigNumber(x) {\n      return x.tanh();\n    },\n    'Unit': function Unit(x) {\n      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {\n        throw new TypeError('Unit in function tanh is no angle');\n      }\n\n      return tanh(x.value);\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      // deep map collection, skip zeros since tanh(0) = 0\n      return deepMap(x, tanh, true);\n    }\n  });\n  tanh.toTex = {\n    1: \"\\\\tanh\\\\left(${args[0]}\\\\right)\"\n  };\n  return tanh;\n}\n/**\n * Calculate the hyperbolic tangent of a number\n * @param {number} x\n * @returns {number}\n * @private\n */\n\n\nvar _tanh = Math.tanh || function (x) {\n  var e = Math.exp(2 * x);\n  return (e - 1) / (e + 1);\n};\n\nexports.name = 'tanh';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./to')];","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var latex = require('../../utils/latex');\n\n  var matrix = load(require('../../type/matrix/function/matrix'));\n  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));\n  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));\n  /**\n   * Change the unit of a value.\n   *\n   * For matrices, the function is evaluated element wise.\n   *\n   * Syntax:\n   *\n   *    math.to(x, unit)\n   *\n   * Examples:\n   *\n   *    math.to(math.unit('2 inch'), 'cm')                   // returns Unit 5.08 cm\n   *    math.to(math.unit('2 inch'), math.unit(null, 'cm'))  // returns Unit 5.08 cm\n   *    math.to(math.unit(16, 'bytes'), 'bits')              // returns Unit 128 bits\n   *\n   * See also:\n   *\n   *    unit\n   *\n   * @param {Unit | Array | Matrix} x     The unit to be converted.\n   * @param {Unit | Array | Matrix} unit  New unit. Can be a string like \"cm\"\n   *                                      or a unit without value.\n   * @return {Unit | Array | Matrix} value with changed, fixed unit.\n   */\n\n  var to = typed('to', {\n    'Unit, Unit | string': function UnitUnitString(x, unit) {\n      return x.to(unit);\n    },\n    'Matrix, Matrix': function MatrixMatrix(x, y) {\n      // SparseMatrix does not support Units\n      return algorithm13(x, y, to);\n    },\n    'Array, Array': function ArrayArray(x, y) {\n      // use matrix implementation\n      return to(matrix(x), matrix(y)).valueOf();\n    },\n    'Array, Matrix': function ArrayMatrix(x, y) {\n      // use matrix implementation\n      return to(matrix(x), y);\n    },\n    'Matrix, Array': function MatrixArray(x, y) {\n      // use matrix implementation\n      return to(x, matrix(y));\n    },\n    'Matrix, any': function MatrixAny(x, y) {\n      // SparseMatrix does not support Units\n      return algorithm14(x, y, to, false);\n    },\n    'any, Matrix': function anyMatrix(x, y) {\n      // SparseMatrix does not support Units\n      return algorithm14(y, x, to, true);\n    },\n    'Array, any': function ArrayAny(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(x), y, to, false).valueOf();\n    },\n    'any, Array': function anyArray(x, y) {\n      // use matrix implementation\n      return algorithm14(matrix(y), x, to, true).valueOf();\n    }\n  });\n  to.toTex = {\n    2: \"\\\\left(${args[0]}\".concat(latex.operators['to'], \"${args[1]}\\\\right)\")\n  };\n  return to;\n}\n\nexports.name = 'to';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./clone'), require('./isInteger'), require('./isNegative'), require('./isNumeric'), require('./hasNumericValue'), require('./isPositive'), require('./isPrime'), require('./isZero'), require('./isNaN'), require('./typeof')];","'use strict';\n\nvar object = require('../../utils/object');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Clone an object.\n   *\n   * Syntax:\n   *\n   *     math.clone(x)\n   *\n   * Examples:\n   *\n   *    math.clone(3.5)                   // returns number 3.5\n   *    math.clone(math.complex('2-4i') // returns Complex 2 - 4i\n   *    math.clone(math.unit(45, 'deg'))  // returns Unit 45 deg\n   *    math.clone([[1, 2], [3, 4]])      // returns Array [[1, 2], [3, 4]]\n   *    math.clone(\"hello world\")         // returns string \"hello world\"\n   *\n   * @param {*} x   Object to be cloned\n   * @return {*} A clone of object x\n   */\n  var clone = typed('clone', {\n    'any': object.clone\n  });\n  clone.toTex = undefined; // use default template\n\n  return clone;\n}\n\nexports.name = 'clone';\nexports.factory = factory;","'use strict';\n\nfunction factory(type, config, load, typed) {\n  var isNumeric = load(require('./isNumeric'));\n  /**\n   * Test whether a value is an numeric value.\n   *\n   * Syntax:\n   *\n   *     math.hasNumericValue(x)\n   *\n   * Examples:\n   *\n   *    math.hasNumericValue(2)                     // returns true\n   *    math.hasNumericValue(0)                     // returns true\n   *    math.hasNumericValue(math.bignumber(500))   // returns true\n   *    math.hasNumericValue(math.fraction(4))      // returns true\n   *    math.hasNumericValue(math.complex('2-4i')   // returns false\n   *    math.hasNumericValue('3')                   // returns true\n   *    math.hasNumericValue([2.3, 'foo', false])   // returns [true, false, true]\n   *\n   * See also:\n   *\n   *    isZero, isPositive, isNegative, isInteger\n   *\n   * @param {*} x       Value to be tested\n   * @return {boolean}  Returns true when `x` is a `number`, `BigNumber`,\n   *                    `Fraction`, `Boolean`, or a `String` containing number. Returns false for other types.\n   *                    Throws an error in case of unknown types.\n   */\n\n  var hasNumericValue = typed('hasNumericValue', {\n    'string': function string(x) {\n      return x.trim().length > 0 && !isNaN(Number(x));\n    },\n    'any': function any(x) {\n      return isNumeric(x);\n    }\n  });\n  return hasNumericValue;\n}\n\nexports.name = 'hasNumericValue';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  /**\n   * Test whether a value is prime: has no divisors other than itself and one.\n   * The function supports type `number`, `bignumber`.\n   *\n   * The function is evaluated element-wise in case of Array or Matrix input.\n   *\n   * Syntax:\n   *\n   *     math.isPrime(x)\n   *\n   * Examples:\n   *\n   *    math.isPrime(3)                     // returns true\n   *    math.isPrime(-2)                    // returns false\n   *    math.isPrime(0)                     // returns false\n   *    math.isPrime(-0)                    // returns false\n   *    math.isPrime(0.5)                   // returns false\n   *    math.isPrime('2')                   // returns true\n   *    math.isPrime([2, 17, 100])           // returns [true, true, false]\n   *\n   * See also:\n   *\n   *    isNumeric, isZero, isNegative, isInteger\n   *\n   * @param {number | BigNumber | Array | Matrix} x  Value to be tested\n   * @return {boolean}  Returns true when `x` is larger than zero.\n   *                    Throws an error in case of an unknown data type.\n   */\n  var isPrime = typed('isPrime', {\n    'number': function number(x) {\n      if (x < 2) {\n        return false;\n      }\n\n      if (x === 2) {\n        return true;\n      }\n\n      if (x % 2 === 0) {\n        return false;\n      }\n\n      for (var i = 3; i * i <= x; i += 2) {\n        if (x % i === 0) {\n          return false;\n        }\n      }\n\n      return true;\n    },\n    'BigNumber': function BigNumber(x) {\n      if (x.lt(2)) {\n        return false;\n      }\n\n      if (x.equals(2)) {\n        return true;\n      }\n\n      if (x.mod(2).isZero()) {\n        return false;\n      }\n\n      for (var i = type.BigNumber(3); i.times(i).lte(x); i = i.plus(1)) {\n        if (x.mod(i).isZero()) {\n          return false;\n        }\n      }\n\n      return true;\n    },\n    'Array | Matrix': function ArrayMatrix(x) {\n      return deepMap(x, isPrime);\n    }\n  });\n  return isPrime;\n}\n\nexports.name = 'isPrime';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [// Note that the docs folder is called \"embeddedDocs\" and not \"docs\" to prevent issues\n// with yarn autoclean. See https://github.com/josdejong/mathjs/issues/969\nrequire('./embeddedDocs'), require('./function'), require('./node'), require('./transform'), require('./Help'), require('./parse'), require('./Parser')];","\"use strict\";\n\nmodule.exports = {\n  'name': 'bignumber',\n  'category': 'Construction',\n  'syntax': ['bignumber(x)'],\n  'description': 'Create a big number from a number or string.',\n  'examples': ['0.1 + 0.2', 'bignumber(0.1) + bignumber(0.2)', 'bignumber(\"7.2\")', 'bignumber(\"7.2e500\")', 'bignumber([0.1, 0.2, 0.3])'],\n  'seealso': ['boolean', 'complex', 'fraction', 'index', 'matrix', 'string', 'unit']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'boolean',\n  'category': 'Construction',\n  'syntax': ['x', 'boolean(x)'],\n  'description': 'Convert a string or number into a boolean.',\n  'examples': ['boolean(0)', 'boolean(1)', 'boolean(3)', 'boolean(\"true\")', 'boolean(\"false\")', 'boolean([1, 0, 1, 1])'],\n  'seealso': ['bignumber', 'complex', 'index', 'matrix', 'number', 'string', 'unit']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'complex',\n  'category': 'Construction',\n  'syntax': ['complex()', 'complex(re, im)', 'complex(string)'],\n  'description': 'Create a complex number.',\n  'examples': ['complex()', 'complex(2, 3)', 'complex(\"7 - 2i\")'],\n  'seealso': ['bignumber', 'boolean', 'index', 'matrix', 'number', 'string', 'unit']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'createUnit',\n  'category': 'Construction',\n  'syntax': ['createUnit(definitions)', 'createUnit(name, definition)'],\n  'description': 'Create a user-defined unit and register it with the Unit type.',\n  'examples': ['createUnit(\"foo\")', 'createUnit(\"knot\", {definition: \"0.514444444 m/s\", aliases: [\"knots\", \"kt\", \"kts\"]})', 'createUnit(\"mph\", \"1 mile/hour\")'],\n  'seealso': ['unit', 'splitUnit']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'fraction',\n  'category': 'Construction',\n  'syntax': ['fraction(num)', 'fraction(num,den)'],\n  'description': 'Create a fraction from a number or from a numerator and denominator.',\n  'examples': ['fraction(0.125)', 'fraction(1, 3) + fraction(2, 5)'],\n  'seealso': ['bignumber', 'boolean', 'complex', 'index', 'matrix', 'string', 'unit']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'index',\n  'category': 'Construction',\n  'syntax': ['[start]', '[start:end]', '[start:step:end]', '[start1, start 2, ...]', '[start1:end1, start2:end2, ...]', '[start1:step1:end1, start2:step2:end2, ...]'],\n  'description': 'Create an index to get or replace a subset of a matrix',\n  'examples': ['[]', '[1, 2, 3]', 'A = [1, 2, 3; 4, 5, 6]', 'A[1, :]', 'A[1, 2] = 50', 'A[0:2, 0:2] = ones(2, 2)'],\n  'seealso': ['bignumber', 'boolean', 'complex', 'matrix,', 'number', 'range', 'string', 'unit']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'matrix',\n  'category': 'Construction',\n  'syntax': ['[]', '[a1, b1, ...; a2, b2, ...]', 'matrix()', 'matrix(\"dense\")', 'matrix([...])'],\n  'description': 'Create a matrix.',\n  'examples': ['[]', '[1, 2, 3]', '[1, 2, 3; 4, 5, 6]', 'matrix()', 'matrix([3, 4])', 'matrix([3, 4; 5, 6], \"sparse\")', 'matrix([3, 4; 5, 6], \"sparse\", \"number\")'],\n  'seealso': ['bignumber', 'boolean', 'complex', 'index', 'number', 'string', 'unit', 'sparse']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'number',\n  'category': 'Construction',\n  'syntax': ['x', 'number(x)', 'number(unit, valuelessUnit)'],\n  'description': 'Create a number or convert a string or boolean into a number.',\n  'examples': ['2', '2e3', '4.05', 'number(2)', 'number(\"7.2\")', 'number(true)', 'number([true, false, true, true])', 'number(unit(\"52cm\"), \"m\")'],\n  'seealso': ['bignumber', 'boolean', 'complex', 'fraction', 'index', 'matrix', 'string', 'unit']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'sparse',\n  'category': 'Construction',\n  'syntax': ['sparse()', 'sparse([a1, b1, ...; a1, b2, ...])', 'sparse([a1, b1, ...; a1, b2, ...], \"number\")'],\n  'description': 'Create a sparse matrix.',\n  'examples': ['sparse()', 'sparse([3, 4; 5, 6])', 'sparse([3, 0; 5, 0], \"number\")'],\n  'seealso': ['bignumber', 'boolean', 'complex', 'index', 'number', 'string', 'unit', 'matrix']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'splitUnit',\n  'category': 'Construction',\n  'syntax': ['splitUnit(unit: Unit, parts: Unit[])'],\n  'description': 'Split a unit in an array of units whose sum is equal to the original unit.',\n  'examples': ['splitUnit(1 m, [\"feet\", \"inch\"])'],\n  'seealso': ['unit', 'createUnit']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'string',\n  'category': 'Construction',\n  'syntax': ['\"text\"', 'string(x)'],\n  'description': 'Create a string or convert a value to a string',\n  'examples': ['\"Hello World!\"', 'string(4.2)', 'string(3 + 2i)'],\n  'seealso': ['bignumber', 'boolean', 'complex', 'index', 'matrix', 'number', 'unit']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'unit',\n  'category': 'Construction',\n  'syntax': ['value unit', 'unit(value, unit)', 'unit(string)'],\n  'description': 'Create a unit.',\n  'examples': ['5.5 mm', '3 inch', 'unit(7.1, \"kilogram\")', 'unit(\"23 deg\")'],\n  'seealso': ['bignumber', 'boolean', 'complex', 'index', 'matrix', 'number', 'string']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'false',\n  'category': 'Constants',\n  'syntax': ['false'],\n  'description': 'Boolean value false',\n  'examples': ['false'],\n  'seealso': ['true']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'i',\n  'category': 'Constants',\n  'syntax': ['i'],\n  'description': 'Imaginary unit, defined as i*i=-1. A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.',\n  'examples': ['i', 'i * i', 'sqrt(-1)'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'Infinity',\n  'category': 'Constants',\n  'syntax': ['Infinity'],\n  'description': 'Infinity, a number which is larger than the maximum number that can be handled by a floating point number.',\n  'examples': ['Infinity', '1 / 0'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'LN2',\n  'category': 'Constants',\n  'syntax': ['LN2'],\n  'description': 'Returns the natural logarithm of 2, approximately equal to 0.693',\n  'examples': ['LN2', 'log(2)'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'LN10',\n  'category': 'Constants',\n  'syntax': ['LN10'],\n  'description': 'Returns the natural logarithm of 10, approximately equal to 2.302',\n  'examples': ['LN10', 'log(10)'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'LOG2E',\n  'category': 'Constants',\n  'syntax': ['LOG2E'],\n  'description': 'Returns the base-2 logarithm of E, approximately equal to 1.442',\n  'examples': ['LOG2E', 'log(e, 2)'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'LOG10E',\n  'category': 'Constants',\n  'syntax': ['LOG10E'],\n  'description': 'Returns the base-10 logarithm of E, approximately equal to 0.434',\n  'examples': ['LOG10E', 'log(e, 10)'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'NaN',\n  'category': 'Constants',\n  'syntax': ['NaN'],\n  'description': 'Not a number',\n  'examples': ['NaN', '0 / 0'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'null',\n  'category': 'Constants',\n  'syntax': ['null'],\n  'description': 'Value null',\n  'examples': ['null'],\n  'seealso': ['true', 'false']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'phi',\n  'category': 'Constants',\n  'syntax': ['phi'],\n  'description': 'Phi is the golden ratio. Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Phi is defined as `(1 + sqrt(5)) / 2` and is approximately 1.618034...',\n  'examples': ['phi'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'SQRT1_2',\n  'category': 'Constants',\n  'syntax': ['SQRT1_2'],\n  'description': 'Returns the square root of 1/2, approximately equal to 0.707',\n  'examples': ['SQRT1_2', 'sqrt(1/2)'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'SQRT2',\n  'category': 'Constants',\n  'syntax': ['SQRT2'],\n  'description': 'Returns the square root of 2, approximately equal to 1.414',\n  'examples': ['SQRT2', 'sqrt(2)'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'tau',\n  'category': 'Constants',\n  'syntax': ['tau'],\n  'description': 'Tau is the ratio constant of a circle\\'s circumference to radius, equal to 2 * pi, approximately 6.2832.',\n  'examples': ['tau', '2 * pi'],\n  'seealso': ['pi']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'true',\n  'category': 'Constants',\n  'syntax': ['true'],\n  'description': 'Boolean value true',\n  'examples': ['true'],\n  'seealso': ['false']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'version',\n  'category': 'Constants',\n  'syntax': ['version'],\n  'description': 'A string with the version number of math.js',\n  'examples': ['version'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'derivative',\n  'category': 'Algebra',\n  'syntax': ['derivative(expr, variable)', 'derivative(expr, variable, {simplify: boolean})'],\n  'description': 'Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.',\n  'examples': ['derivative(\"2x^3\", \"x\")', 'derivative(\"2x^3\", \"x\", {simplify: false})', 'derivative(\"2x^2 + 3x + 4\", \"x\")', 'derivative(\"sin(2x)\", \"x\")', 'f = parse(\"x^2 + x\")', 'x = parse(\"x\")', 'df = derivative(f, x)', 'df.eval({x: 3})'],\n  'seealso': ['simplify', 'parse', 'eval']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'lsolve',\n  'category': 'Algebra',\n  'syntax': ['x=lsolve(L, b)'],\n  'description': 'Solves the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.',\n  'examples': ['a = [-2, 3; 2, 1]', 'b = [11, 9]', 'x = lsolve(a, b)'],\n  'seealso': ['lup', 'lusolve', 'usolve', 'matrix', 'sparse']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'lup',\n  'category': 'Algebra',\n  'syntax': ['lup(m)'],\n  'description': 'Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U',\n  'examples': ['lup([[2, 1], [1, 4]])', 'lup(matrix([[2, 1], [1, 4]]))', 'lup(sparse([[2, 1], [1, 4]]))'],\n  'seealso': ['lusolve', 'lsolve', 'usolve', 'matrix', 'sparse', 'slu', 'qr']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'lusolve',\n  'category': 'Algebra',\n  'syntax': ['x=lusolve(A, b)', 'x=lusolve(lu, b)'],\n  'description': 'Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.',\n  'examples': ['a = [-2, 3; 2, 1]', 'b = [11, 9]', 'x = lusolve(a, b)'],\n  'seealso': ['lup', 'slu', 'lsolve', 'usolve', 'matrix', 'sparse']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'simplify',\n  'category': 'Algebra',\n  'syntax': ['simplify(expr)', 'simplify(expr, rules)'],\n  'description': 'Simplify an expression tree.',\n  'examples': ['simplify(\"3 + 2 / 4\")', 'simplify(\"2x + x\")', 'f = parse(\"x * (x + 2 + x)\")', 'simplified = simplify(f)', 'simplified.eval({x: 2})'],\n  'seealso': ['derivative', 'parse', 'eval']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'rationalize',\n  'category': 'Algebra',\n  'syntax': ['rationalize(expr)', 'rationalize(expr, scope)', 'rationalize(expr, scope, detailed)'],\n  'description': 'Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.',\n  'examples': ['rationalize(\"2x/y - y/(x+1)\")', 'rationalize(\"2x/y - y/(x+1)\", true)'],\n  'seealso': ['simplify']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'slu',\n  'category': 'Algebra',\n  'syntax': ['slu(A, order, threshold)'],\n  'description': 'Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U',\n  'examples': ['slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)'],\n  'seealso': ['lusolve', 'lsolve', 'usolve', 'matrix', 'sparse', 'lup', 'qr']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'usolve',\n  'category': 'Algebra',\n  'syntax': ['x=usolve(U, b)'],\n  'description': 'Solves the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.',\n  'examples': ['x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])'],\n  'seealso': ['lup', 'lusolve', 'lsolve', 'matrix', 'sparse']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'qr',\n  'category': 'Algebra',\n  'syntax': ['qr(A)'],\n  'description': 'Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.',\n  'examples': ['qr([[1, -1,  4], [1,  4, -2], [1,  4,  2], [1,  -1, 0]])'],\n  'seealso': ['lup', 'slu', 'matrix']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'abs',\n  'category': 'Arithmetic',\n  'syntax': ['abs(x)'],\n  'description': 'Compute the absolute value.',\n  'examples': ['abs(3.5)', 'abs(-4.2)'],\n  'seealso': ['sign']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'add',\n  'category': 'Operators',\n  'syntax': ['x + y', 'add(x, y)'],\n  'description': 'Add two values.',\n  'examples': ['a = 2.1 + 3.6', 'a - 3.6', '3 + 2i', '3 cm + 2 inch', '\"2.3\" + \"4\"'],\n  'seealso': ['subtract']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'cbrt',\n  'category': 'Arithmetic',\n  'syntax': ['cbrt(x)', 'cbrt(x, allRoots)'],\n  'description': 'Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned',\n  'examples': ['cbrt(64)', 'cube(4)', 'cbrt(-8)', 'cbrt(2 + 3i)', 'cbrt(8i)', 'cbrt(8i, true)', 'cbrt(27 m^3)'],\n  'seealso': ['square', 'sqrt', 'cube', 'multiply']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'ceil',\n  'category': 'Arithmetic',\n  'syntax': ['ceil(x)'],\n  'description': 'Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.',\n  'examples': ['ceil(3.2)', 'ceil(3.8)', 'ceil(-4.2)'],\n  'seealso': ['floor', 'fix', 'round']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'cube',\n  'category': 'Arithmetic',\n  'syntax': ['cube(x)'],\n  'description': 'Compute the cube of a value. The cube of x is x * x * x.',\n  'examples': ['cube(2)', '2^3', '2 * 2 * 2'],\n  'seealso': ['multiply', 'square', 'pow']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'divide',\n  'category': 'Operators',\n  'syntax': ['x / y', 'divide(x, y)'],\n  'description': 'Divide two values.',\n  'examples': ['a = 2 / 3', 'a * 3', '4.5 / 2', '3 + 4 / 2', '(3 + 4) / 2', '18 km / 4.5'],\n  'seealso': ['multiply']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'dotDivide',\n  'category': 'Operators',\n  'syntax': ['x ./ y', 'dotDivide(x, y)'],\n  'description': 'Divide two values element wise.',\n  'examples': ['a = [1, 2, 3; 4, 5, 6]', 'b = [2, 1, 1; 3, 2, 5]', 'a ./ b'],\n  'seealso': ['multiply', 'dotMultiply', 'divide']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'dotMultiply',\n  'category': 'Operators',\n  'syntax': ['x .* y', 'dotMultiply(x, y)'],\n  'description': 'Multiply two values element wise.',\n  'examples': ['a = [1, 2, 3; 4, 5, 6]', 'b = [2, 1, 1; 3, 2, 5]', 'a .* b'],\n  'seealso': ['multiply', 'divide', 'dotDivide']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'dotpow',\n  'category': 'Operators',\n  'syntax': ['x .^ y', 'dotpow(x, y)'],\n  'description': 'Calculates the power of x to y element wise.',\n  'examples': ['a = [1, 2, 3; 4, 5, 6]', 'a .^ 2'],\n  'seealso': ['pow']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'exp',\n  'category': 'Arithmetic',\n  'syntax': ['exp(x)'],\n  'description': 'Calculate the exponent of a value.',\n  'examples': ['exp(1.3)', 'e ^ 1.3', 'log(exp(1.3))', 'x = 2.4', '(exp(i*x) == cos(x) + i*sin(x))   # Euler\\'s formula'],\n  'seealso': ['expm', 'expm1', 'pow', 'log']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'expm',\n  'category': 'Arithmetic',\n  'syntax': ['exp(x)'],\n  'description': 'Compute the matrix exponential, expm(A) = e^A. ' + 'The matrix must be square. ' + 'Not to be confused with exp(a), which performs element-wise exponentiation.',\n  'examples': ['expm([[0,2],[0,0]])'],\n  'seealso': ['exp']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'expm1',\n  'category': 'Arithmetic',\n  'syntax': ['expm1(x)'],\n  'description': 'Calculate the value of subtracting 1 from the exponential value.',\n  'examples': ['expm1(2)', 'pow(e, 2) - 1', 'log(expm1(2) + 1)'],\n  'seealso': ['exp', 'pow', 'log']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'fix',\n  'category': 'Arithmetic',\n  'syntax': ['fix(x)'],\n  'description': 'Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.',\n  'examples': ['fix(3.2)', 'fix(3.8)', 'fix(-4.2)', 'fix(-4.8)'],\n  'seealso': ['ceil', 'floor', 'round']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'floor',\n  'category': 'Arithmetic',\n  'syntax': ['floor(x)'],\n  'description': 'Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.',\n  'examples': ['floor(3.2)', 'floor(3.8)', 'floor(-4.2)'],\n  'seealso': ['ceil', 'fix', 'round']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'gcd',\n  'category': 'Arithmetic',\n  'syntax': ['gcd(a, b)', 'gcd(a, b, c, ...)'],\n  'description': 'Compute the greatest common divisor.',\n  'examples': ['gcd(8, 12)', 'gcd(-4, 6)', 'gcd(25, 15, -10)'],\n  'seealso': ['lcm', 'xgcd']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'hypot',\n  'category': 'Arithmetic',\n  'syntax': ['hypot(a, b, c, ...)', 'hypot([a, b, c, ...])'],\n  'description': 'Calculate the hypotenusa of a list with values. ',\n  'examples': ['hypot(3, 4)', 'sqrt(3^2 + 4^2)', 'hypot(-2)', 'hypot([3, 4, 5])'],\n  'seealso': ['abs', 'norm']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'lcm',\n  'category': 'Arithmetic',\n  'syntax': ['lcm(x, y)'],\n  'description': 'Compute the least common multiple.',\n  'examples': ['lcm(4, 6)', 'lcm(6, 21)', 'lcm(6, 21, 5)'],\n  'seealso': ['gcd']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'log',\n  'category': 'Arithmetic',\n  'syntax': ['log(x)', 'log(x, base)'],\n  'description': 'Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).',\n  'examples': ['log(3.5)', 'a = log(2.4)', 'exp(a)', '10 ^ 4', 'log(10000, 10)', 'log(10000) / log(10)', 'b = log(1024, 2)', '2 ^ b'],\n  'seealso': ['exp', 'log1p', 'log2', 'log10']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'log2',\n  'category': 'Arithmetic',\n  'syntax': ['log2(x)'],\n  'description': 'Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.',\n  'examples': ['log2(0.03125)', 'log2(16)', 'log2(16) / log2(2)', 'pow(2, 4)'],\n  'seealso': ['exp', 'log1p', 'log', 'log10']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'log1p',\n  'category': 'Arithmetic',\n  'syntax': ['log1p(x)', 'log1p(x, base)'],\n  'description': 'Calculate the logarithm of a `value+1`',\n  'examples': ['log1p(2.5)', 'exp(log1p(1.4))', 'pow(10, 4)', 'log1p(9999, 10)', 'log1p(9999) / log(10)'],\n  'seealso': ['exp', 'log', 'log2', 'log10']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'log10',\n  'category': 'Arithmetic',\n  'syntax': ['log10(x)'],\n  'description': 'Compute the 10-base logarithm of a value.',\n  'examples': ['log10(0.00001)', 'log10(10000)', '10 ^ 4', 'log(10000) / log(10)', 'log(10000, 10)'],\n  'seealso': ['exp', 'log']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'mod',\n  'category': 'Operators',\n  'syntax': ['x % y', 'x mod y', 'mod(x, y)'],\n  'description': 'Calculates the modulus, the remainder of an integer division.',\n  'examples': ['7 % 3', '11 % 2', '10 mod 4', 'isOdd(x) = x % 2', 'isOdd(2)', 'isOdd(3)'],\n  'seealso': ['divide']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'multiply',\n  'category': 'Operators',\n  'syntax': ['x * y', 'multiply(x, y)'],\n  'description': 'multiply two values.',\n  'examples': ['a = 2.1 * 3.4', 'a / 3.4', '2 * 3 + 4', '2 * (3 + 4)', '3 * 2.1 km'],\n  'seealso': ['divide']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'norm',\n  'category': 'Arithmetic',\n  'syntax': ['norm(x)', 'norm(x, p)'],\n  'description': 'Calculate the norm of a number, vector or matrix.',\n  'examples': ['abs(-3.5)', 'norm(-3.5)', 'norm(3 - 4i)', 'norm([1, 2, -3], Infinity)', 'norm([1, 2, -3], -Infinity)', 'norm([3, 4], 2)', 'norm([[1, 2], [3, 4]], 1)', 'norm([[1, 2], [3, 4]], \"inf\")', 'norm([[1, 2], [3, 4]], \"fro\")']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'nthRoot',\n  'category': 'Arithmetic',\n  'syntax': ['nthRoot(a)', 'nthRoot(a, root)'],\n  'description': 'Calculate the nth root of a value. ' + 'The principal nth root of a positive real number A, ' + 'is the positive real solution of the equation \"x^root = A\".',\n  'examples': ['4 ^ 3', 'nthRoot(64, 3)', 'nthRoot(9, 2)', 'sqrt(9)'],\n  'seealso': ['nthRoots', 'pow', 'sqrt']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'nthRoots',\n  'category': 'Arithmetic',\n  'syntax': ['nthRoots(A)', 'nthRoots(A, root)'],\n  'description': '' + 'Calculate the nth roots of a value. ' + 'An nth root of a positive real number A, ' + 'is a positive real solution of the equation \"x^root = A\". ' + 'This function returns an array of complex values.',\n  'examples': ['nthRoots(1)', 'nthRoots(1, 3)'],\n  'seealso': ['sqrt', 'pow', 'nthRoot']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'pow',\n  'category': 'Operators',\n  'syntax': ['x ^ y', 'pow(x, y)'],\n  'description': 'Calculates the power of x to y, x^y.',\n  'examples': ['2^3', '2*2*2', '1 + e ^ (pi * i)'],\n  'seealso': ['multiply', 'nthRoot', 'nthRoots', 'sqrt']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'round',\n  'category': 'Arithmetic',\n  'syntax': ['round(x)', 'round(x, n)'],\n  'description': 'round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.',\n  'examples': ['round(3.2)', 'round(3.8)', 'round(-4.2)', 'round(-4.8)', 'round(pi, 3)', 'round(123.45678, 2)'],\n  'seealso': ['ceil', 'floor', 'fix']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'sign',\n  'category': 'Arithmetic',\n  'syntax': ['sign(x)'],\n  'description': 'Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.',\n  'examples': ['sign(3.5)', 'sign(-4.2)', 'sign(0)'],\n  'seealso': ['abs']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'sqrt',\n  'category': 'Arithmetic',\n  'syntax': ['sqrt(x)'],\n  'description': 'Compute the square root value. If x = y * y, then y is the square root of x.',\n  'examples': ['sqrt(25)', '5 * 5', 'sqrt(-1)'],\n  'seealso': ['square', 'sqrtm', 'multiply', 'nthRoot', 'nthRoots', 'pow']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'sqrtm',\n  'category': 'Arithmetic',\n  'syntax': ['sqrtm(x)'],\n  'description': 'Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.',\n  'examples': ['sqrtm([[1, 2], [3, 4]])'],\n  'seealso': ['sqrt', 'abs', 'square', 'multiply']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'square',\n  'category': 'Arithmetic',\n  'syntax': ['square(x)'],\n  'description': 'Compute the square of a value. The square of x is x * x.',\n  'examples': ['square(3)', 'sqrt(9)', '3^2', '3 * 3'],\n  'seealso': ['multiply', 'pow', 'sqrt', 'cube']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'subtract',\n  'category': 'Operators',\n  'syntax': ['x - y', 'subtract(x, y)'],\n  'description': 'subtract two values.',\n  'examples': ['a = 5.3 - 2', 'a + 2', '2/3 - 1/6', '2 * 3 - 3', '2.1 km - 500m'],\n  'seealso': ['add']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'unaryMinus',\n  'category': 'Operators',\n  'syntax': ['-x', 'unaryMinus(x)'],\n  'description': 'Inverse the sign of a value. Converts booleans and strings to numbers.',\n  'examples': ['-4.5', '-(-5.6)', '-\"22\"'],\n  'seealso': ['add', 'subtract', 'unaryPlus']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'unaryPlus',\n  'category': 'Operators',\n  'syntax': ['+x', 'unaryPlus(x)'],\n  'description': 'Converts booleans and strings to numbers.',\n  'examples': ['+true', '+\"2\"'],\n  'seealso': ['add', 'subtract', 'unaryMinus']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'xgcd',\n  'category': 'Arithmetic',\n  'syntax': ['xgcd(a, b)'],\n  'description': 'Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.',\n  'examples': ['xgcd(8, 12)', 'gcd(8, 12)', 'xgcd(36163, 21199)'],\n  'seealso': ['gcd', 'lcm']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'bitAnd',\n  'category': 'Bitwise',\n  'syntax': ['x & y', 'bitAnd(x, y)'],\n  'description': 'Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0',\n  'examples': ['5 & 3', 'bitAnd(53, 131)', '[1, 12, 31] & 42'],\n  'seealso': ['bitNot', 'bitOr', 'bitXor', 'leftShift', 'rightArithShift', 'rightLogShift']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'bitNot',\n  'category': 'Bitwise',\n  'syntax': ['~x', 'bitNot(x)'],\n  'description': 'Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.',\n  'examples': ['~1', '~2', 'bitNot([2, -3, 4])'],\n  'seealso': ['bitAnd', 'bitOr', 'bitXor', 'leftShift', 'rightArithShift', 'rightLogShift']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'bitOr',\n  'category': 'Bitwise',\n  'syntax': ['x | y', 'bitOr(x, y)'],\n  'description': 'Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.',\n  'examples': ['5 | 3', 'bitOr([1, 2, 3], 4)'],\n  'seealso': ['bitAnd', 'bitNot', 'bitXor', 'leftShift', 'rightArithShift', 'rightLogShift']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'bitXor',\n  'category': 'Bitwise',\n  'syntax': ['bitXor(x, y)'],\n  'description': 'Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.',\n  'examples': ['bitOr(1, 2)', 'bitXor([2, 3, 4], 4)'],\n  'seealso': ['bitAnd', 'bitNot', 'bitOr', 'leftShift', 'rightArithShift', 'rightLogShift']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'leftShift',\n  'category': 'Bitwise',\n  'syntax': ['x << y', 'leftShift(x, y)'],\n  'description': 'Bitwise left logical shift of a value x by y number of bits.',\n  'examples': ['4 << 1', '8 >> 1'],\n  'seealso': ['bitAnd', 'bitNot', 'bitOr', 'bitXor', 'rightArithShift', 'rightLogShift']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'rightArithShift',\n  'category': 'Bitwise',\n  'syntax': ['x >> y', 'rightArithShift(x, y)'],\n  'description': 'Bitwise right arithmetic shift of a value x by y number of bits.',\n  'examples': ['8 >> 1', '4 << 1', '-12 >> 2'],\n  'seealso': ['bitAnd', 'bitNot', 'bitOr', 'bitXor', 'leftShift', 'rightLogShift']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'rightLogShift',\n  'category': 'Bitwise',\n  'syntax': ['x >>> y', 'rightLogShift(x, y)'],\n  'description': 'Bitwise right logical shift of a value x by y number of bits.',\n  'examples': ['8 >>> 1', '4 << 1', '-12 >>> 2'],\n  'seealso': ['bitAnd', 'bitNot', 'bitOr', 'bitXor', 'leftShift', 'rightArithShift']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'bellNumbers',\n  'category': 'Combinatorics',\n  'syntax': ['bellNumbers(n)'],\n  'description': 'The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.',\n  'examples': ['bellNumbers(3)', 'bellNumbers(8)'],\n  'seealso': ['stirlingS2']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'catalan',\n  'category': 'Combinatorics',\n  'syntax': ['catalan(n)'],\n  'description': 'The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.',\n  'examples': ['catalan(3)', 'catalan(8)'],\n  'seealso': ['bellNumbers']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'composition',\n  'category': 'Combinatorics',\n  'syntax': ['composition(n, k)'],\n  'description': 'The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.',\n  'examples': ['composition(5, 3)'],\n  'seealso': ['combinations']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'stirlingS2',\n  'category': 'Combinatorics',\n  'syntax': ['stirlingS2(n, k)'],\n  'description': 'he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.',\n  'examples': ['stirlingS2(5, 3)'],\n  'seealso': ['bellNumbers']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'config',\n  'category': 'Core',\n  'syntax': ['config()', 'config(options)'],\n  'description': 'Get configuration or change configuration.',\n  'examples': ['config()', '1/3 + 1/4', 'config({number: \"Fraction\"})', '1/3 + 1/4'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'import',\n  'category': 'Core',\n  'syntax': ['import(functions)', 'import(functions, options)'],\n  'description': 'Import functions or constants from an object.',\n  'examples': ['import({myFn: f(x)=x^2, myConstant: 32 })', 'myFn(2)', 'myConstant'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'typed',\n  'category': 'Core',\n  'syntax': ['typed(signatures)', 'typed(name, signatures)'],\n  'description': 'Create a typed function.',\n  'examples': ['double = typed({ \"number, number\": f(x)=x+x })', 'double(2)', 'double(\"hello\")'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'arg',\n  'category': 'Complex',\n  'syntax': ['arg(x)'],\n  'description': 'Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).',\n  'examples': ['arg(2 + 2i)', 'atan2(3, 2)', 'arg(2 + 3i)'],\n  'seealso': ['re', 'im', 'conj', 'abs']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'conj',\n  'category': 'Complex',\n  'syntax': ['conj(x)'],\n  'description': 'Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.',\n  'examples': ['conj(2 + 3i)', 'conj(2 - 3i)', 'conj(-5.2i)'],\n  'seealso': ['re', 'im', 'abs', 'arg']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 're',\n  'category': 'Complex',\n  'syntax': ['re(x)'],\n  'description': 'Get the real part of a complex number.',\n  'examples': ['re(2 + 3i)', 'im(2 + 3i)', 're(-5.2i)', 're(2.4)'],\n  'seealso': ['im', 'conj', 'abs', 'arg']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'im',\n  'category': 'Complex',\n  'syntax': ['im(x)'],\n  'description': 'Get the imaginary part of a complex number.',\n  'examples': ['im(2 + 3i)', 're(2 + 3i)', 'im(-5.2i)', 'im(2.4)'],\n  'seealso': ['re', 'conj', 'abs', 'arg']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'eval',\n  'category': 'Expression',\n  'syntax': ['eval(expression)', 'eval([expr1, expr2, expr3, ...])'],\n  'description': 'Evaluate an expression or an array with expressions.',\n  'examples': ['eval(\"2 + 3\")', 'eval(\"sqrt(\" + 4 + \")\")'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'help',\n  'category': 'Expression',\n  'syntax': ['help(object)', 'help(string)'],\n  'description': 'Display documentation on a function or data type.',\n  'examples': ['help(sqrt)', 'help(\"complex\")'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'distance',\n  'category': 'Geometry',\n  'syntax': ['distance([x1, y1], [x2, y2])', 'distance([[x1, y1], [x2, y2])'],\n  'description': 'Calculates the Euclidean distance between two points.',\n  'examples': ['distance([0,0], [4,4])', 'distance([[0,0], [4,4]])'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'intersect',\n  'category': 'Geometry',\n  'syntax': ['intersect(expr1, expr2, expr3, expr4)', 'intersect(expr1, expr2, expr3)'],\n  'description': 'Computes the intersection point of lines and/or planes.',\n  'examples': ['intersect([0, 0], [10, 10], [10, 0], [0, 10])', 'intersect([1, 0, 1],  [4, -2, 2], [1, 1, 1, 6])'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'and',\n  'category': 'Logical',\n  'syntax': ['x and y', 'and(x, y)'],\n  'description': 'Logical and. Test whether two values are both defined with a nonzero/nonempty value.',\n  'examples': ['true and false', 'true and true', '2 and 4'],\n  'seealso': ['not', 'or', 'xor']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'not',\n  'category': 'Logical',\n  'syntax': ['not x', 'not(x)'],\n  'description': 'Logical not. Flips the boolean value of given argument.',\n  'examples': ['not true', 'not false', 'not 2', 'not 0'],\n  'seealso': ['and', 'or', 'xor']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'or',\n  'category': 'Logical',\n  'syntax': ['x or y', 'or(x, y)'],\n  'description': 'Logical or. Test if at least one value is defined with a nonzero/nonempty value.',\n  'examples': ['true or false', 'false or false', '0 or 4'],\n  'seealso': ['not', 'and', 'xor']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'xor',\n  'category': 'Logical',\n  'syntax': ['x xor y', 'xor(x, y)'],\n  'description': 'Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.',\n  'examples': ['true xor false', 'false xor false', 'true xor true', '0 xor 4'],\n  'seealso': ['not', 'and', 'or']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'concat',\n  'category': 'Matrix',\n  'syntax': ['concat(A, B, C, ...)', 'concat(A, B, C, ..., dim)'],\n  'description': 'Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.',\n  'examples': ['A = [1, 2; 5, 6]', 'B = [3, 4; 7, 8]', 'concat(A, B)', 'concat(A, B, 1)', 'concat(A, B, 2)'],\n  'seealso': ['det', 'diag', 'identity', 'inv', 'ones', 'range', 'size', 'squeeze', 'subset', 'trace', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'cross',\n  'category': 'Matrix',\n  'syntax': ['cross(A, B)'],\n  'description': 'Calculate the cross product for two vectors in three dimensional space.',\n  'examples': ['cross([1, 1, 0],  [0, 1, 1])', 'cross([3, -3, 1], [4, 9, 2])', 'cross([2, 3, 4],  [5, 6, 7])'],\n  'seealso': ['multiply', 'dot']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'transpose',\n  'category': 'Matrix',\n  'syntax': ['x\\'', 'ctranspose(x)'],\n  'description': 'Complex Conjugate and Transpose a matrix',\n  'examples': ['a = [1, 2, 3; 4, 5, 6]', 'a\\'', 'ctranspose(a)'],\n  'seealso': ['concat', 'det', 'diag', 'identity', 'inv', 'ones', 'range', 'size', 'squeeze', 'subset', 'trace', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'det',\n  'category': 'Matrix',\n  'syntax': ['det(x)'],\n  'description': 'Calculate the determinant of a matrix',\n  'examples': ['det([1, 2; 3, 4])', 'det([-2, 2, 3; -1, 1, 3; 2, 0, -1])'],\n  'seealso': ['concat', 'diag', 'identity', 'inv', 'ones', 'range', 'size', 'squeeze', 'subset', 'trace', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'diag',\n  'category': 'Matrix',\n  'syntax': ['diag(x)', 'diag(x, k)'],\n  'description': 'Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.',\n  'examples': ['diag(1:3)', 'diag(1:3, 1)', 'a = [1, 2, 3; 4, 5, 6; 7, 8, 9]', 'diag(a)'],\n  'seealso': ['concat', 'det', 'identity', 'inv', 'ones', 'range', 'size', 'squeeze', 'subset', 'trace', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'dot',\n  'category': 'Matrix',\n  'syntax': ['dot(A, B)', 'A * B'],\n  'description': 'Calculate the dot product of two vectors. ' + 'The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] ' + 'is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn',\n  'examples': ['dot([2, 4, 1], [2, 2, 3])', '[2, 4, 1] * [2, 2, 3]'],\n  'seealso': ['multiply', 'cross']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'getMatrixDataType',\n  'category': 'Matrix',\n  'syntax': ['getMatrixDataType(x)'],\n  'description': 'Find the data type of all elements in a matrix or array, ' + 'for example \"number\" if all items are a number ' + 'and \"Complex\" if all values are complex numbers. ' + 'If a matrix contains more than one data type, it will return \"mixed\".',\n  'examples': ['getMatrixDataType([1, 2, 3])', 'getMatrixDataType([[5 cm], [2 inch]])', 'getMatrixDataType([1, \"text\"])', 'getMatrixDataType([1, bignumber(4)])'],\n  'seealso': ['matrix', 'sparse', 'typeof']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'identity',\n  'category': 'Matrix',\n  'syntax': ['identity(n)', 'identity(m, n)', 'identity([m, n])'],\n  'description': 'Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.',\n  'examples': ['identity(3)', 'identity(3, 5)', 'a = [1, 2, 3; 4, 5, 6]', 'identity(size(a))'],\n  'seealso': ['concat', 'det', 'diag', 'inv', 'ones', 'range', 'size', 'squeeze', 'subset', 'trace', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'filter',\n  'category': 'Matrix',\n  'syntax': ['filter(x, test)'],\n  'description': 'Filter items in a matrix.',\n  'examples': ['isPositive(x) = x > 0', 'filter([6, -2, -1, 4, 3], isPositive)', 'filter([6, -2, 0, 1, 0], x != 0)'],\n  'seealso': ['sort', 'map', 'forEach']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'flatten',\n  'category': 'Matrix',\n  'syntax': ['flatten(x)'],\n  'description': 'Flatten a multi dimensional matrix into a single dimensional matrix.',\n  'examples': ['a = [1, 2, 3; 4, 5, 6]', 'size(a)', 'b = flatten(a)', 'size(b)'],\n  'seealso': ['concat', 'resize', 'size', 'squeeze']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'forEach',\n  'category': 'Matrix',\n  'syntax': ['forEach(x, callback)'],\n  'description': 'Iterates over all elements of a matrix/array, and executes the given callback function.',\n  'examples': ['forEach([1, 2, 3], function(val) { console.log(val) })'],\n  'seealso': ['map', 'sort', 'filter']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'inv',\n  'category': 'Matrix',\n  'syntax': ['inv(x)'],\n  'description': 'Calculate the inverse of a matrix',\n  'examples': ['inv([1, 2; 3, 4])', 'inv(4)', '1 / 4'],\n  'seealso': ['concat', 'det', 'diag', 'identity', 'ones', 'range', 'size', 'squeeze', 'subset', 'trace', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'kron',\n  'category': 'Matrix',\n  'syntax': ['kron(x, y)'],\n  'description': 'Calculates the kronecker product of 2 matrices or vectors.',\n  'examples': ['kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])', 'kron([1,1], [2,3,4])'],\n  'seealso': ['multiply', 'dot', 'cross']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'map',\n  'category': 'Matrix',\n  'syntax': ['map(x, callback)'],\n  'description': 'Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.',\n  'examples': ['map([1, 2, 3], square)'],\n  'seealso': ['filter', 'forEach']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'ones',\n  'category': 'Matrix',\n  'syntax': ['ones(m)', 'ones(m, n)', 'ones(m, n, p, ...)', 'ones([m])', 'ones([m, n])', 'ones([m, n, p, ...])'],\n  'description': 'Create a matrix containing ones.',\n  'examples': ['ones(3)', 'ones(3, 5)', 'ones([2,3]) * 4.5', 'a = [1, 2, 3; 4, 5, 6]', 'ones(size(a))'],\n  'seealso': ['concat', 'det', 'diag', 'identity', 'inv', 'range', 'size', 'squeeze', 'subset', 'trace', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'partitionSelect',\n  'category': 'Matrix',\n  'syntax': ['partitionSelect(x, k)', 'partitionSelect(x, k, compare)'],\n  'description': 'Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.',\n  'examples': ['partitionSelect([5, 10, 1], 2)', 'partitionSelect([\"C\", \"B\", \"A\", \"D\"], 1)'],\n  'seealso': ['sort']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'range',\n  'category': 'Type',\n  'syntax': ['start:end', 'start:step:end', 'range(start, end)', 'range(start, end, step)', 'range(string)'],\n  'description': 'Create a range. Lower bound of the range is included, upper bound is excluded.',\n  'examples': ['1:5', '3:-1:-3', 'range(3, 7)', 'range(0, 12, 2)', 'range(\"4:10\")', 'a = [1, 2, 3, 4; 5, 6, 7, 8]', 'a[1:2, 1:2]'],\n  'seealso': ['concat', 'det', 'diag', 'identity', 'inv', 'ones', 'size', 'squeeze', 'subset', 'trace', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'resize',\n  'category': 'Matrix',\n  'syntax': ['resize(x, size)', 'resize(x, size, defaultValue)'],\n  'description': 'Resize a matrix.',\n  'examples': ['resize([1,2,3,4,5], [3])', 'resize([1,2,3], [5])', 'resize([1,2,3], [5], -1)', 'resize(2, [2, 3])', 'resize(\"hello\", [8], \"!\")'],\n  'seealso': ['size', 'subset', 'squeeze', 'reshape']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'reshape',\n  'category': 'Matrix',\n  'syntax': ['reshape(x, sizes)'],\n  'description': 'Reshape a multi dimensional array to fit the specified dimensions.',\n  'examples': ['reshape([1, 2, 3, 4, 5, 6], [2, 3])', 'reshape([[1, 2], [3, 4]], [1, 4])', 'reshape([[1, 2], [3, 4]], [4])'],\n  'seealso': ['size', 'squeeze', 'resize']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'size',\n  'category': 'Matrix',\n  'syntax': ['size(x)'],\n  'description': 'Calculate the size of a matrix.',\n  'examples': ['size(2.3)', 'size(\"hello world\")', 'a = [1, 2; 3, 4; 5, 6]', 'size(a)', 'size(1:6)'],\n  'seealso': ['concat', 'det', 'diag', 'identity', 'inv', 'ones', 'range', 'squeeze', 'subset', 'trace', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'sort',\n  'category': 'Matrix',\n  'syntax': ['sort(x)', 'sort(x, compare)'],\n  'description': 'Sort the items in a matrix. Compare can be a string \"asc\", \"desc\", \"natural\", or a custom sort function.',\n  'examples': ['sort([5, 10, 1])', 'sort([\"C\", \"B\", \"A\", \"D\"])', 'sortByLength(a, b) = size(a)[1] - size(b)[1]', 'sort([\"Langdon\", \"Tom\", \"Sara\"], sortByLength)', 'sort([\"10\", \"1\", \"2\"], \"natural\")'],\n  'seealso': ['map', 'filter', 'forEach']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'squeeze',\n  'category': 'Matrix',\n  'syntax': ['squeeze(x)'],\n  'description': 'Remove inner and outer singleton dimensions from a matrix.',\n  'examples': ['a = zeros(3,2,1)', 'size(squeeze(a))', 'b = zeros(1,1,3)', 'size(squeeze(b))'],\n  'seealso': ['concat', 'det', 'diag', 'identity', 'inv', 'ones', 'range', 'size', 'subset', 'trace', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'subset',\n  'category': 'Matrix',\n  'syntax': ['value(index)', 'value(index) = replacement', 'subset(value, [index])', 'subset(value, [index], replacement)'],\n  'description': 'Get or set a subset of a matrix or string. ' + 'Indexes are one-based. ' + 'Both the ranges lower-bound and upper-bound are included.',\n  'examples': ['d = [1, 2; 3, 4]', 'e = []', 'e[1, 1:2] = [5, 6]', 'e[2, :] = [7, 8]', 'f = d * e', 'f[2, 1]', 'f[:, 1]'],\n  'seealso': ['concat', 'det', 'diag', 'identity', 'inv', 'ones', 'range', 'size', 'squeeze', 'trace', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'trace',\n  'category': 'Matrix',\n  'syntax': ['trace(A)'],\n  'description': 'Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.',\n  'examples': ['A = [1, 2, 3; -1, 2, 3; 2, 0, 3]', 'trace(A)'],\n  'seealso': ['concat', 'det', 'diag', 'identity', 'inv', 'ones', 'range', 'size', 'squeeze', 'subset', 'transpose', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'transpose',\n  'category': 'Matrix',\n  'syntax': ['x\\'', 'transpose(x)'],\n  'description': 'Transpose a matrix',\n  'examples': ['a = [1, 2, 3; 4, 5, 6]', 'a\\'', 'transpose(a)'],\n  'seealso': ['concat', 'det', 'diag', 'identity', 'inv', 'ones', 'range', 'size', 'squeeze', 'subset', 'trace', 'zeros']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'zeros',\n  'category': 'Matrix',\n  'syntax': ['zeros(m)', 'zeros(m, n)', 'zeros(m, n, p, ...)', 'zeros([m])', 'zeros([m, n])', 'zeros([m, n, p, ...])'],\n  'description': 'Create a matrix containing zeros.',\n  'examples': ['zeros(3)', 'zeros(3, 5)', 'a = [1, 2, 3; 4, 5, 6]', 'zeros(size(a))'],\n  'seealso': ['concat', 'det', 'diag', 'identity', 'inv', 'ones', 'range', 'size', 'squeeze', 'subset', 'trace', 'transpose']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'combinations',\n  'category': 'Probability',\n  'syntax': ['combinations(n, k)'],\n  'description': 'Compute the number of combinations of n items taken k at a time',\n  'examples': ['combinations(7, 5)'],\n  'seealso': ['permutations', 'factorial']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'factorial',\n  'category': 'Probability',\n  'syntax': ['n!', 'factorial(n)'],\n  'description': 'Compute the factorial of a value',\n  'examples': ['5!', '5 * 4 * 3 * 2 * 1', '3!'],\n  'seealso': ['combinations', 'permutations', 'gamma']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'gamma',\n  'category': 'Probability',\n  'syntax': ['gamma(n)'],\n  'description': 'Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.',\n  'examples': ['gamma(4)', '3!', 'gamma(1/2)', 'sqrt(pi)'],\n  'seealso': ['factorial']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'kldivergence',\n  'category': 'Probability',\n  'syntax': ['kldivergence(x, y)'],\n  'description': 'Calculate the Kullback-Leibler (KL) divergence  between two distributions.',\n  'examples': ['kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'multinomial',\n  'category': 'Probability',\n  'syntax': ['multinomial(A)'],\n  'description': 'Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.',\n  'examples': ['multinomial([1, 2, 1])'],\n  'seealso': ['combinations', 'factorial']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'permutations',\n  'category': 'Probability',\n  'syntax': ['permutations(n)', 'permutations(n, k)'],\n  'description': 'Compute the number of permutations of n items taken k at a time',\n  'examples': ['permutations(5)', 'permutations(5, 3)'],\n  'seealso': ['combinations', 'factorial']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'pickRandom',\n  'category': 'Probability',\n  'syntax': ['pickRandom(array)', 'pickRandom(array, number)', 'pickRandom(array, weights)', 'pickRandom(array, number, weights)', 'pickRandom(array, weights, number)'],\n  'description': 'Pick a random entry from a given array.',\n  'examples': ['pickRandom(0:10)', 'pickRandom([1, 3, 1, 6])', 'pickRandom([1, 3, 1, 6], 2)', 'pickRandom([1, 3, 1, 6], [2, 3, 2, 1])', 'pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])', 'pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)'],\n  'seealso': ['random', 'randomInt']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'random',\n  'category': 'Probability',\n  'syntax': ['random()', 'random(max)', 'random(min, max)', 'random(size)', 'random(size, max)', 'random(size, min, max)'],\n  'description': 'Return a random number.',\n  'examples': ['random()', 'random(10, 20)', 'random([2, 3])'],\n  'seealso': ['pickRandom', 'randomInt']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'randomInt',\n  'category': 'Probability',\n  'syntax': ['randomInt(max)', 'randomInt(min, max)', 'randomInt(size)', 'randomInt(size, max)', 'randomInt(size, min, max)'],\n  'description': 'Return a random integer number',\n  'examples': ['randomInt(10, 20)', 'randomInt([2, 3], 10)'],\n  'seealso': ['pickRandom', 'random']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'compare',\n  'category': 'Relational',\n  'syntax': ['compare(x, y)'],\n  'description': 'Compare two values. ' + 'Returns 1 when x > y, -1 when x < y, and 0 when x == y.',\n  'examples': ['compare(2, 3)', 'compare(3, 2)', 'compare(2, 2)', 'compare(5cm, 40mm)', 'compare(2, [1, 2, 3])'],\n  'seealso': ['equal', 'unequal', 'smaller', 'smallerEq', 'largerEq', 'compareNatural', 'compareText']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'compareNatural',\n  'category': 'Relational',\n  'syntax': ['compareNatural(x, y)'],\n  'description': 'Compare two values of any type in a deterministic, natural way. ' + 'Returns 1 when x > y, -1 when x < y, and 0 when x == y.',\n  'examples': ['compareNatural(2, 3)', 'compareNatural(3, 2)', 'compareNatural(2, 2)', 'compareNatural(5cm, 40mm)', 'compareNatural(\"2\", \"10\")', 'compareNatural(2 + 3i, 2 + 4i)', 'compareNatural([1, 2, 4], [1, 2, 3])', 'compareNatural([1, 5], [1, 2, 3])', 'compareNatural([1, 2], [1, 2])', 'compareNatural({a: 2}, {a: 4})'],\n  'seealso': ['equal', 'unequal', 'smaller', 'smallerEq', 'largerEq', 'compare', 'compareText']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'compareText',\n  'category': 'Relational',\n  'syntax': ['compareText(x, y)'],\n  'description': 'Compare two strings lexically. Comparison is case sensitive. ' + 'Returns 1 when x > y, -1 when x < y, and 0 when x == y.',\n  'examples': ['compareText(\"B\", \"A\")', 'compareText(\"A\", \"B\")', 'compareText(\"A\", \"A\")', 'compareText(\"2\", \"10\")', 'compare(\"2\", \"10\")', 'compare(2, 10)', 'compareNatural(\"2\", \"10\")', 'compareText(\"B\", [\"A\", \"B\", \"C\"])'],\n  'seealso': ['compare', 'compareNatural']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'deepEqual',\n  'category': 'Relational',\n  'syntax': ['deepEqual(x, y)'],\n  'description': 'Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.',\n  'examples': ['deepEqual([1,3,4], [1,3,4])', 'deepEqual([1,3,4], [1,3])'],\n  'seealso': ['equal', 'unequal', 'smaller', 'larger', 'smallerEq', 'largerEq', 'compare']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'equal',\n  'category': 'Relational',\n  'syntax': ['x == y', 'equal(x, y)'],\n  'description': 'Check equality of two values. Returns true if the values are equal, and false if not.',\n  'examples': ['2+2 == 3', '2+2 == 4', 'a = 3.2', 'b = 6-2.8', 'a == b', '50cm == 0.5m'],\n  'seealso': ['unequal', 'smaller', 'larger', 'smallerEq', 'largerEq', 'compare', 'deepEqual', 'equalText']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'equalText',\n  'category': 'Relational',\n  'syntax': ['equalText(x, y)'],\n  'description': 'Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.',\n  'examples': ['equalText(\"Hello\", \"Hello\")', 'equalText(\"a\", \"A\")', 'equal(\"2e3\", \"2000\")', 'equalText(\"2e3\", \"2000\")', 'equalText(\"B\", [\"A\", \"B\", \"C\"])'],\n  'seealso': ['compare', 'compareNatural', 'compareText', 'equal']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'larger',\n  'category': 'Relational',\n  'syntax': ['x > y', 'larger(x, y)'],\n  'description': 'Check if value x is larger than y. Returns true if x is larger than y, and false if not.',\n  'examples': ['2 > 3', '5 > 2*2', 'a = 3.3', 'b = 6-2.8', '(a > b)', '(b < a)', '5 cm > 2 inch'],\n  'seealso': ['equal', 'unequal', 'smaller', 'smallerEq', 'largerEq', 'compare']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'largerEq',\n  'category': 'Relational',\n  'syntax': ['x >= y', 'largerEq(x, y)'],\n  'description': 'Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.',\n  'examples': ['2 >= 1+1', '2 > 1+1', 'a = 3.2', 'b = 6-2.8', '(a >= b)'],\n  'seealso': ['equal', 'unequal', 'smallerEq', 'smaller', 'compare']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'smaller',\n  'category': 'Relational',\n  'syntax': ['x < y', 'smaller(x, y)'],\n  'description': 'Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.',\n  'examples': ['2 < 3', '5 < 2*2', 'a = 3.3', 'b = 6-2.8', '(a < b)', '5 cm < 2 inch'],\n  'seealso': ['equal', 'unequal', 'larger', 'smallerEq', 'largerEq', 'compare']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'smallerEq',\n  'category': 'Relational',\n  'syntax': ['x <= y', 'smallerEq(x, y)'],\n  'description': 'Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.',\n  'examples': ['2 <= 1+1', '2 < 1+1', 'a = 3.2', 'b = 6-2.8', '(a <= b)'],\n  'seealso': ['equal', 'unequal', 'larger', 'smaller', 'largerEq', 'compare']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'unequal',\n  'category': 'Relational',\n  'syntax': ['x != y', 'unequal(x, y)'],\n  'description': 'Check unequality of two values. Returns true if the values are unequal, and false if they are equal.',\n  'examples': ['2+2 != 3', '2+2 != 4', 'a = 3.2', 'b = 6-2.8', 'a != b', '50cm != 0.5m', '5 cm != 2 inch'],\n  'seealso': ['equal', 'smaller', 'larger', 'smallerEq', 'largerEq', 'compare', 'deepEqual']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'setCartesian',\n  'category': 'Set',\n  'syntax': ['setCartesian(set1, set2)'],\n  'description': 'Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.',\n  'examples': ['setCartesian([1, 2], [3, 4])'],\n  'seealso': ['setUnion', 'setIntersect', 'setDifference', 'setPowerset']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'setDifference',\n  'category': 'Set',\n  'syntax': ['setDifference(set1, set2)'],\n  'description': 'Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.',\n  'examples': ['setDifference([1, 2, 3, 4], [3, 4, 5, 6])', 'setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])'],\n  'seealso': ['setUnion', 'setIntersect', 'setSymDifference']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'setDistinct',\n  'category': 'Set',\n  'syntax': ['setDistinct(set)'],\n  'description': 'Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.',\n  'examples': ['setDistinct([1, 1, 1, 2, 2, 3])'],\n  'seealso': ['setMultiplicity']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'setIntersect',\n  'category': 'Set',\n  'syntax': ['setIntersect(set1, set2)'],\n  'description': 'Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.',\n  'examples': ['setIntersect([1, 2, 3, 4], [3, 4, 5, 6])', 'setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])'],\n  'seealso': ['setUnion', 'setDifference']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'setIsSubset',\n  'category': 'Set',\n  'syntax': ['setIsSubset(set1, set2)'],\n  'description': 'Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.',\n  'examples': ['setIsSubset([1, 2], [3, 4, 5, 6])', 'setIsSubset([3, 4], [3, 4, 5, 6])'],\n  'seealso': ['setUnion', 'setIntersect', 'setDifference']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'setMultiplicity',\n  'category': 'Set',\n  'syntax': ['setMultiplicity(element, set)'],\n  'description': 'Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.',\n  'examples': ['setMultiplicity(1, [1, 2, 2, 4])', 'setMultiplicity(2, [1, 2, 2, 4])'],\n  'seealso': ['setDistinct', 'setSize']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'setPowerset',\n  'category': 'Set',\n  'syntax': ['setPowerset(set)'],\n  'description': 'Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.',\n  'examples': ['setPowerset([1, 2, 3])'],\n  'seealso': ['setCartesian']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'setSize',\n  'category': 'Set',\n  'syntax': ['setSize(set)', 'setSize(set, unique)'],\n  'description': 'Count the number of elements of a (multi)set. When the second parameter \"unique\" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.',\n  'examples': ['setSize([1, 2, 2, 4])', 'setSize([1, 2, 2, 4], true)'],\n  'seealso': ['setUnion', 'setIntersect', 'setDifference']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'setSymDifference',\n  'category': 'Set',\n  'syntax': ['setSymDifference(set1, set2)'],\n  'description': 'Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.',\n  'examples': ['setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])', 'setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])'],\n  'seealso': ['setUnion', 'setIntersect', 'setDifference']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'setUnion',\n  'category': 'Set',\n  'syntax': ['setUnion(set1, set2)'],\n  'description': 'Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.',\n  'examples': ['setUnion([1, 2, 3, 4], [3, 4, 5, 6])', 'setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])'],\n  'seealso': ['setIntersect', 'setDifference']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'erf',\n  'category': 'Special',\n  'syntax': ['erf(x)'],\n  'description': 'Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x',\n  'examples': ['erf(0.2)', 'erf(-0.5)', 'erf(4)'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'mad',\n  'category': 'Statistics',\n  'syntax': ['mad(a, b, c, ...)', 'mad(A)'],\n  'description': 'Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.',\n  'examples': ['mad(10, 20, 30)', 'mad([1, 2, 3])'],\n  'seealso': ['mean', 'median', 'std', 'abs']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'max',\n  'category': 'Statistics',\n  'syntax': ['max(a, b, c, ...)', 'max(A)', 'max(A, dim)'],\n  'description': 'Compute the maximum value of a list of values.',\n  'examples': ['max(2, 3, 4, 1)', 'max([2, 3, 4, 1])', 'max([2, 5; 4, 3])', 'max([2, 5; 4, 3], 1)', 'max([2, 5; 4, 3], 2)', 'max(2.7, 7.1, -4.5, 2.0, 4.1)', 'min(2.7, 7.1, -4.5, 2.0, 4.1)'],\n  'seealso': ['mean', 'median', 'min', 'prod', 'std', 'sum', 'var']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'mean',\n  'category': 'Statistics',\n  'syntax': ['mean(a, b, c, ...)', 'mean(A)', 'mean(A, dim)'],\n  'description': 'Compute the arithmetic mean of a list of values.',\n  'examples': ['mean(2, 3, 4, 1)', 'mean([2, 3, 4, 1])', 'mean([2, 5; 4, 3])', 'mean([2, 5; 4, 3], 1)', 'mean([2, 5; 4, 3], 2)', 'mean([1.0, 2.7, 3.2, 4.0])'],\n  'seealso': ['max', 'median', 'min', 'prod', 'std', 'sum', 'var']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'median',\n  'category': 'Statistics',\n  'syntax': ['median(a, b, c, ...)', 'median(A)'],\n  'description': 'Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.',\n  'examples': ['median(5, 2, 7)', 'median([3, -1, 5, 7])'],\n  'seealso': ['max', 'mean', 'min', 'prod', 'std', 'sum', 'var', 'quantileSeq']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'min',\n  'category': 'Statistics',\n  'syntax': ['min(a, b, c, ...)', 'min(A)', 'min(A, dim)'],\n  'description': 'Compute the minimum value of a list of values.',\n  'examples': ['min(2, 3, 4, 1)', 'min([2, 3, 4, 1])', 'min([2, 5; 4, 3])', 'min([2, 5; 4, 3], 1)', 'min([2, 5; 4, 3], 2)', 'min(2.7, 7.1, -4.5, 2.0, 4.1)', 'max(2.7, 7.1, -4.5, 2.0, 4.1)'],\n  'seealso': ['max', 'mean', 'median', 'prod', 'std', 'sum', 'var']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'mode',\n  'category': 'Statistics',\n  'syntax': ['mode(a, b, c, ...)', 'mode(A)', 'mode(A, a, b, B, c, ...)'],\n  'description': 'Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.',\n  'examples': ['mode(2, 1, 4, 3, 1)', 'mode([1, 2.7, 3.2, 4, 2.7])', 'mode(1, 4, 6, 1, 6)'],\n  'seealso': ['max', 'mean', 'min', 'median', 'prod', 'std', 'sum', 'var']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'prod',\n  'category': 'Statistics',\n  'syntax': ['prod(a, b, c, ...)', 'prod(A)'],\n  'description': 'Compute the product of all values.',\n  'examples': ['prod(2, 3, 4)', 'prod([2, 3, 4])', 'prod([2, 5; 4, 3])'],\n  'seealso': ['max', 'mean', 'min', 'median', 'min', 'std', 'sum', 'var']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'quantileSeq',\n  'category': 'Statistics',\n  'syntax': ['quantileSeq(A, prob[, sorted])', 'quantileSeq(A, [prob1, prob2, ...][, sorted])', 'quantileSeq(A, N[, sorted])'],\n  'description': 'Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. \\n\\nIn case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.',\n  'examples': ['quantileSeq([3, -1, 5, 7], 0.5)', 'quantileSeq([3, -1, 5, 7], [1/3, 2/3])', 'quantileSeq([3, -1, 5, 7], 2)', 'quantileSeq([-1, 3, 5, 7], 0.5, true)'],\n  'seealso': ['mean', 'median', 'min', 'max', 'prod', 'std', 'sum', 'var']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'std',\n  'category': 'Statistics',\n  'syntax': ['std(a, b, c, ...)', 'std(A)', 'std(A, normalization)'],\n  'description': 'Compute the standard deviation of all values, defined as std(A) = sqrt(var(A)). Optional parameter normalization can be \"unbiased\" (default), \"uncorrected\", or \"biased\".',\n  'examples': ['std(2, 4, 6)', 'std([2, 4, 6, 8])', 'std([2, 4, 6, 8], \"uncorrected\")', 'std([2, 4, 6, 8], \"biased\")', 'std([1, 2, 3; 4, 5, 6])'],\n  'seealso': ['max', 'mean', 'min', 'median', 'min', 'prod', 'sum', 'var']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'sum',\n  'category': 'Statistics',\n  'syntax': ['sum(a, b, c, ...)', 'sum(A)'],\n  'description': 'Compute the sum of all values.',\n  'examples': ['sum(2, 3, 4, 1)', 'sum([2, 3, 4, 1])', 'sum([2, 5; 4, 3])'],\n  'seealso': ['max', 'mean', 'median', 'min', 'prod', 'std', 'sum', 'var']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'var',\n  'category': 'Statistics',\n  'syntax': ['var(a, b, c, ...)', 'var(A)', 'var(A, normalization)'],\n  'description': 'Compute the variance of all values. Optional parameter normalization can be \"unbiased\" (default), \"uncorrected\", or \"biased\".',\n  'examples': ['var(2, 4, 6)', 'var([2, 4, 6, 8])', 'var([2, 4, 6, 8], \"uncorrected\")', 'var([2, 4, 6, 8], \"biased\")', 'var([1, 2, 3; 4, 5, 6])'],\n  'seealso': ['max', 'mean', 'min', 'median', 'min', 'prod', 'std', 'sum']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'acos',\n  'category': 'Trigonometry',\n  'syntax': ['acos(x)'],\n  'description': 'Compute the inverse cosine of a value in radians.',\n  'examples': ['acos(0.5)', 'acos(cos(2.3))'],\n  'seealso': ['cos', 'atan', 'asin']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'acosh',\n  'category': 'Trigonometry',\n  'syntax': ['acosh(x)'],\n  'description': 'Calculate the hyperbolic arccos of a value, defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.',\n  'examples': ['acosh(1.5)'],\n  'seealso': ['cosh', 'asinh', 'atanh']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'acot',\n  'category': 'Trigonometry',\n  'syntax': ['acot(x)'],\n  'description': 'Calculate the inverse cotangent of a value.',\n  'examples': ['acot(0.5)', 'acot(cot(0.5))', 'acot(2)'],\n  'seealso': ['cot', 'atan']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'acoth',\n  'category': 'Trigonometry',\n  'syntax': ['acoth(x)'],\n  'description': 'Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.',\n  'examples': ['acoth(2)', 'acoth(0.5)'],\n  'seealso': ['acsch', 'asech']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'acsc',\n  'category': 'Trigonometry',\n  'syntax': ['acsc(x)'],\n  'description': 'Calculate the inverse cotangent of a value.',\n  'examples': ['acsc(2)', 'acsc(csc(0.5))', 'acsc(0.5)'],\n  'seealso': ['csc', 'asin', 'asec']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'acsch',\n  'category': 'Trigonometry',\n  'syntax': ['acsch(x)'],\n  'description': 'Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.',\n  'examples': ['acsch(0.5)'],\n  'seealso': ['asech', 'acoth']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'asec',\n  'category': 'Trigonometry',\n  'syntax': ['asec(x)'],\n  'description': 'Calculate the inverse secant of a value.',\n  'examples': ['asec(0.5)', 'asec(sec(0.5))', 'asec(2)'],\n  'seealso': ['acos', 'acot', 'acsc']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'asech',\n  'category': 'Trigonometry',\n  'syntax': ['asech(x)'],\n  'description': 'Calculate the inverse secant of a value.',\n  'examples': ['asech(0.5)'],\n  'seealso': ['acsch', 'acoth']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'asin',\n  'category': 'Trigonometry',\n  'syntax': ['asin(x)'],\n  'description': 'Compute the inverse sine of a value in radians.',\n  'examples': ['asin(0.5)', 'asin(sin(0.5))'],\n  'seealso': ['sin', 'acos', 'atan']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'asinh',\n  'category': 'Trigonometry',\n  'syntax': ['asinh(x)'],\n  'description': 'Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.',\n  'examples': ['asinh(0.5)'],\n  'seealso': ['acosh', 'atanh']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'atan',\n  'category': 'Trigonometry',\n  'syntax': ['atan(x)'],\n  'description': 'Compute the inverse tangent of a value in radians.',\n  'examples': ['atan(0.5)', 'atan(tan(0.5))'],\n  'seealso': ['tan', 'acos', 'asin']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'atanh',\n  'category': 'Trigonometry',\n  'syntax': ['atanh(x)'],\n  'description': 'Calculate the hyperbolic arctangent of a value, defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.',\n  'examples': ['atanh(0.5)'],\n  'seealso': ['acosh', 'asinh']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'atan2',\n  'category': 'Trigonometry',\n  'syntax': ['atan2(y, x)'],\n  'description': 'Computes the principal value of the arc tangent of y/x in radians.',\n  'examples': ['atan2(2, 2) / pi', 'angle = 60 deg in rad', 'x = cos(angle)', 'y = sin(angle)', 'atan2(y, x)'],\n  'seealso': ['sin', 'cos', 'tan']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'cos',\n  'category': 'Trigonometry',\n  'syntax': ['cos(x)'],\n  'description': 'Compute the cosine of x in radians.',\n  'examples': ['cos(2)', 'cos(pi / 4) ^ 2', 'cos(180 deg)', 'cos(60 deg)', 'sin(0.2)^2 + cos(0.2)^2'],\n  'seealso': ['acos', 'sin', 'tan']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'cosh',\n  'category': 'Trigonometry',\n  'syntax': ['cosh(x)'],\n  'description': 'Compute the hyperbolic cosine of x in radians.',\n  'examples': ['cosh(0.5)'],\n  'seealso': ['sinh', 'tanh', 'coth']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'cot',\n  'category': 'Trigonometry',\n  'syntax': ['cot(x)'],\n  'description': 'Compute the cotangent of x in radians. Defined as 1/tan(x)',\n  'examples': ['cot(2)', '1 / tan(2)'],\n  'seealso': ['sec', 'csc', 'tan']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'coth',\n  'category': 'Trigonometry',\n  'syntax': ['coth(x)'],\n  'description': 'Compute the hyperbolic cotangent of x in radians.',\n  'examples': ['coth(2)', '1 / tanh(2)'],\n  'seealso': ['sech', 'csch', 'tanh']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'csc',\n  'category': 'Trigonometry',\n  'syntax': ['csc(x)'],\n  'description': 'Compute the cosecant of x in radians. Defined as 1/sin(x)',\n  'examples': ['csc(2)', '1 / sin(2)'],\n  'seealso': ['sec', 'cot', 'sin']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'csch',\n  'category': 'Trigonometry',\n  'syntax': ['csch(x)'],\n  'description': 'Compute the hyperbolic cosecant of x in radians. Defined as 1/sinh(x)',\n  'examples': ['csch(2)', '1 / sinh(2)'],\n  'seealso': ['sech', 'coth', 'sinh']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'sec',\n  'category': 'Trigonometry',\n  'syntax': ['sec(x)'],\n  'description': 'Compute the secant of x in radians. Defined as 1/cos(x)',\n  'examples': ['sec(2)', '1 / cos(2)'],\n  'seealso': ['cot', 'csc', 'cos']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'sech',\n  'category': 'Trigonometry',\n  'syntax': ['sech(x)'],\n  'description': 'Compute the hyperbolic secant of x in radians. Defined as 1/cosh(x)',\n  'examples': ['sech(2)', '1 / cosh(2)'],\n  'seealso': ['coth', 'csch', 'cosh']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'sin',\n  'category': 'Trigonometry',\n  'syntax': ['sin(x)'],\n  'description': 'Compute the sine of x in radians.',\n  'examples': ['sin(2)', 'sin(pi / 4) ^ 2', 'sin(90 deg)', 'sin(30 deg)', 'sin(0.2)^2 + cos(0.2)^2'],\n  'seealso': ['asin', 'cos', 'tan']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'sinh',\n  'category': 'Trigonometry',\n  'syntax': ['sinh(x)'],\n  'description': 'Compute the hyperbolic sine of x in radians.',\n  'examples': ['sinh(0.5)'],\n  'seealso': ['cosh', 'tanh']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'tan',\n  'category': 'Trigonometry',\n  'syntax': ['tan(x)'],\n  'description': 'Compute the tangent of x in radians.',\n  'examples': ['tan(0.5)', 'sin(0.5) / cos(0.5)', 'tan(pi / 4)', 'tan(45 deg)'],\n  'seealso': ['atan', 'sin', 'cos']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'tanh',\n  'category': 'Trigonometry',\n  'syntax': ['tanh(x)'],\n  'description': 'Compute the hyperbolic tangent of x in radians.',\n  'examples': ['tanh(0.5)', 'sinh(0.5) / cosh(0.5)'],\n  'seealso': ['sinh', 'cosh']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'to',\n  'category': 'Units',\n  'syntax': ['x to unit', 'to(x, unit)'],\n  'description': 'Change the unit of a value.',\n  'examples': ['5 inch to cm', '3.2kg to g', '16 bytes in bits'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'clone',\n  'category': 'Utils',\n  'syntax': ['clone(x)'],\n  'description': 'Clone a variable. Creates a copy of primitive variables,and a deep copy of matrices',\n  'examples': ['clone(3.5)', 'clone(2 - 4i)', 'clone(45 deg)', 'clone([1, 2; 3, 4])', 'clone(\"hello world\")'],\n  'seealso': []\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'format',\n  'category': 'Utils',\n  'syntax': ['format(value)', 'format(value, precision)'],\n  'description': 'Format a value of any type as string.',\n  'examples': ['format(2.3)', 'format(3 - 4i)', 'format([])', 'format(pi, 3)'],\n  'seealso': ['print']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'isNaN',\n  'category': 'Utils',\n  'syntax': ['isNaN(x)'],\n  'description': 'Test whether a value is NaN (not a number)',\n  'examples': ['isNaN(2)', 'isNaN(0 / 0)', 'isNaN(NaN)', 'isNaN(Infinity)'],\n  'seealso': ['isNegative', 'isNumeric', 'isPositive', 'isZero']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'isInteger',\n  'category': 'Utils',\n  'syntax': ['isInteger(x)'],\n  'description': 'Test whether a value is an integer number.',\n  'examples': ['isInteger(2)', 'isInteger(3.5)', 'isInteger([3, 0.5, -2])'],\n  'seealso': ['isNegative', 'isNumeric', 'isPositive', 'isZero']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'isNegative',\n  'category': 'Utils',\n  'syntax': ['isNegative(x)'],\n  'description': 'Test whether a value is negative: smaller than zero.',\n  'examples': ['isNegative(2)', 'isNegative(0)', 'isNegative(-4)', 'isNegative([3, 0.5, -2])'],\n  'seealso': ['isInteger', 'isNumeric', 'isPositive', 'isZero']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'isNumeric',\n  'category': 'Utils',\n  'syntax': ['isNumeric(x)'],\n  'description': 'Test whether a value is a numeric value. ' + 'Returns true when the input is a number, BigNumber, Fraction, or boolean.',\n  'examples': ['isNumeric(2)', 'isNumeric(0)', 'isNumeric(bignumber(500))', 'isNumeric(fraction(0.125))', 'isNumeric(\"3\")', 'isNumeric(2 + 3i)', 'isNumeric([2.3, \"foo\", false])'],\n  'seealso': ['isInteger', 'isZero', 'isNegative', 'isPositive', 'isNaN']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'isPositive',\n  'category': 'Utils',\n  'syntax': ['isPositive(x)'],\n  'description': 'Test whether a value is positive: larger than zero.',\n  'examples': ['isPositive(2)', 'isPositive(0)', 'isPositive(-4)', 'isPositive([3, 0.5, -2])'],\n  'seealso': ['isInteger', 'isNumeric', 'isNegative', 'isZero']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'isPrime',\n  'category': 'Utils',\n  'syntax': ['isPrime(x)'],\n  'description': 'Test whether a value is prime: has no divisors other than itself and one.',\n  'examples': ['isPrime(3)', 'isPrime(-2)', 'isPrime([2, 17, 100])'],\n  'seealso': ['isInteger', 'isNumeric', 'isNegative', 'isZero']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'isZero',\n  'category': 'Utils',\n  'syntax': ['isZero(x)'],\n  'description': 'Test whether a value is zero.',\n  'examples': ['isZero(2)', 'isZero(0)', 'isZero(-4)', 'isZero([3, 0, -2, 0])'],\n  'seealso': ['isInteger', 'isNumeric', 'isNegative', 'isPositive']\n};","\"use strict\";\n\nmodule.exports = {\n  'name': 'typeof',\n  'category': 'Utils',\n  'syntax': ['typeof(x)'],\n  'description': 'Get the type of a variable.',\n  'examples': ['typeof(3.5)', 'typeof(2 - 4i)', 'typeof(45 deg)', 'typeof(\"hello world\")'],\n  'seealso': ['getMatrixDataType']\n};","'use strict';\n\nmodule.exports = [require('./compile'), require('./eval'), require('./help'), require('./parse'), require('./parser')];","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var parse = load(require('../parse'));\n  /**\n   * Parse and compile an expression.\n   * Returns a an object with a function `eval([scope])` to evaluate the\n   * compiled expression.\n   *\n   * Syntax:\n   *\n   *     math.compile(expr)                       // returns one node\n   *     math.compile([expr1, expr2, expr3, ...]) // returns an array with nodes\n   *\n   * Examples:\n   *\n   *     const code1 = math.compile('sqrt(3^2 + 4^2)')\n   *     code1.eval() // 5\n   *\n   *     let scope = {a: 3, b: 4}\n   *     const code2 = math.compile('a * b') // 12\n   *     code2.eval(scope) // 12\n   *     scope.a = 5\n   *     code2.eval(scope) // 20\n   *\n   *     const nodes = math.compile(['a = 3', 'b = 4', 'a * b'])\n   *     nodes[2].eval() // 12\n   *\n   * See also:\n   *\n   *    parse, eval\n   *\n   * @param {string | string[] | Array | Matrix} expr\n   *            The expression to be compiled\n   * @return {{eval: Function} | Array.<{eval: Function}>} code\n   *            An object with the compiled expression\n   * @throws {Error}\n   */\n\n  return typed('compile', {\n    'string': function string(expr) {\n      return parse(expr).compile();\n    },\n    'Array | Matrix': function ArrayMatrix(expr) {\n      return deepMap(expr, function (entry) {\n        return parse(entry).compile();\n      });\n    }\n  });\n}\n\nexports.name = 'compile';\nexports.factory = factory;","'use strict';\n\nvar deepMap = require('../../utils/collection/deepMap');\n\nfunction factory(type, config, load, typed) {\n  var parse = load(require('../parse'));\n  /**\n   * Evaluate an expression.\n   *\n   * Note the evaluating arbitrary expressions may involve security risks,\n   * see [http://mathjs.org/docs/expressions/security.html](http://mathjs.org/docs/expressions/security.html) for more information.\n   *\n   * Syntax:\n   *\n   *     math.eval(expr)\n   *     math.eval(expr, scope)\n   *     math.eval([expr1, expr2, expr3, ...])\n   *     math.eval([expr1, expr2, expr3, ...], scope)\n   *\n   * Example:\n   *\n   *     math.eval('(2+3)/4')                // 1.25\n   *     math.eval('sqrt(3^2 + 4^2)')        // 5\n   *     math.eval('sqrt(-4)')               // 2i\n   *     math.eval(['a=3', 'b=4', 'a*b'])    // [3, 4, 12]\n   *\n   *     let scope = {a:3, b:4}\n   *     math.eval('a * b', scope)           // 12\n   *\n   * See also:\n   *\n   *    parse, compile\n   *\n   * @param {string | string[] | Matrix} expr   The expression to be evaluated\n   * @param {Object} [scope]                    Scope to read/write variables\n   * @return {*} The result of the expression\n   * @throws {Error}\n   */\n\n  return typed('compile', {\n    'string': function string(expr) {\n      var scope = {};\n      return parse(expr).compile().eval(scope);\n    },\n    'string, Object': function stringObject(expr, scope) {\n      return parse(expr).compile().eval(scope);\n    },\n    'Array | Matrix': function ArrayMatrix(expr) {\n      var scope = {};\n      return deepMap(expr, function (entry) {\n        return parse(entry).compile().eval(scope);\n      });\n    },\n    'Array | Matrix, Object': function ArrayMatrixObject(expr, scope) {\n      return deepMap(expr, function (entry) {\n        return parse(entry).compile().eval(scope);\n      });\n    }\n  });\n}\n\nexports.name = 'eval';\nexports.factory = factory;","'use strict';\n\nvar getSafeProperty = require('../../utils/customs').getSafeProperty;\n\nfunction factory(type, config, load, typed, math) {\n  var docs = load(require('../embeddedDocs'));\n  /**\n   * Retrieve help on a function or data type.\n   * Help files are retrieved from the documentation in math.expression.docs.\n   *\n   * Syntax:\n   *\n   *    math.help(search)\n   *\n   * Examples:\n   *\n   *    console.log(math.help('sin').toString())\n   *    console.log(math.help(math.add).toString())\n   *    console.log(math.help(math.add).toJSON())\n   *\n   * @param {Function | string | Object} search   A function or function name\n   *                                              for which to get help\n   * @return {Help} A help object\n   */\n\n  return typed('help', {\n    'any': function any(search) {\n      var prop;\n      var name = search;\n\n      if (typeof search !== 'string') {\n        for (prop in math) {\n          // search in functions and constants\n          if (math.hasOwnProperty(prop) && search === math[prop]) {\n            name = prop;\n            break;\n          }\n        }\n        /* TODO: implement help for data types\n         if (!text) {\n         // search data type\n         for (prop in math.type) {\n         if (math.type.hasOwnProperty(prop)) {\n         if (search === math.type[prop]) {\n         text = prop\n         break\n         }\n         }\n         }\n         }\n         */\n\n      }\n\n      var doc = getSafeProperty(docs, name);\n\n      if (!doc) {\n        throw new Error('No documentation found on \"' + name + '\"');\n      }\n\n      return new type.Help(doc);\n    }\n  });\n}\n\nexports.math = true; // request access to the math namespace as 5th argument of the factory function\n\nexports.name = 'help';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./AccessorNode'), require('./ArrayNode'), require('./AssignmentNode'), require('./BlockNode'), require('./ConditionalNode'), require('./ConstantNode'), require('./IndexNode'), require('./FunctionAssignmentNode'), require('./FunctionNode'), require('./Node'), require('./ObjectNode'), require('./OperatorNode'), require('./ParenthesisNode'), require('./RangeNode'), require('./RelationalNode'), require('./SymbolNode'), require('./UpdateNode')];","'use strict';\n\nfunction factory(type, config, load, typed) {\n  /**\n   * @constructor UpdateNode\n   */\n  function UpdateNode() {\n    // TODO: deprecated since v3. Cleanup some day\n    throw new Error('UpdateNode is deprecated. Use AssignmentNode instead.');\n  }\n\n  return UpdateNode;\n}\n\nexports.name = 'UpdateNode';\nexports.path = 'expression.node';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./concat.transform'), require('./filter.transform'), require('./forEach.transform'), require('./index.transform'), require('./map.transform'), require('./max.transform'), require('./mean.transform'), require('./min.transform'), require('./range.transform'), require('./subset.transform'), require('./sum.transform')];","'use strict';\n\nvar errorTransform = require('./error.transform').transform;\n/**\n * Attach a transform function to math.range\n * Adds a property transform containing the transform function.\n *\n * This transform changed the last `dim` parameter of function concat\n * from one-based to zero based\n */\n\n\nfunction factory(type, config, load, typed) {\n  var concat = load(require('../../function/matrix/concat')); // @see: comment of concat itself\n\n  return typed('concat', {\n    '...any': function any(args) {\n      // change last argument from one-based to zero-based\n      var lastIndex = args.length - 1;\n      var last = args[lastIndex];\n\n      if (type.isNumber(last)) {\n        args[lastIndex] = last - 1;\n      } else if (type.isBigNumber(last)) {\n        args[lastIndex] = last.minus(1);\n      }\n\n      try {\n        return concat.apply(null, args);\n      } catch (err) {\n        throw errorTransform(err);\n      }\n    }\n  });\n}\n\nexports.name = 'concat';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n\nvar filter = require('../../utils/array').filter;\n\nvar filterRegExp = require('../../utils/array').filterRegExp;\n\nvar maxArgumentCount = require('../../utils/function').maxArgumentCount;\n/**\n * Attach a transform function to math.filter\n * Adds a property transform containing the transform function.\n *\n * This transform adds support for equations as test function for math.filter,\n * so you can do something like 'filter([3, -2, 5], x > 0)'.\n */\n\n\nfunction factory(type, config, load, typed) {\n  var compileInlineExpression = load(require('./utils/compileInlineExpression'));\n  var matrix = load(require('../../type/matrix/function/matrix'));\n\n  function filterTransform(args, math, scope) {\n    var x, callback;\n\n    if (args[0]) {\n      x = args[0].compile().eval(scope);\n    }\n\n    if (args[1]) {\n      if (type.isSymbolNode(args[1]) || type.isFunctionAssignmentNode(args[1])) {\n        // a function pointer, like filter([3, -2, 5], myTestFunction)\n        callback = args[1].compile().eval(scope);\n      } else {\n        // an expression like filter([3, -2, 5], x > 0)\n        callback = compileInlineExpression(args[1], math, scope);\n      }\n    }\n\n    return filter(x, callback);\n  }\n\n  filterTransform.rawArgs = true; // one based version of function filter\n\n  var filter = typed('filter', {\n    'Array, function': _filter,\n    'Matrix, function': function MatrixFunction(x, test) {\n      return matrix(_filter(x.toArray(), test));\n    },\n    'Array, RegExp': filterRegExp,\n    'Matrix, RegExp': function MatrixRegExp(x, test) {\n      return matrix(filterRegExp(x.toArray(), test));\n    }\n  });\n  filter.toTex = undefined; // use default template\n\n  return filterTransform;\n}\n/**\n * Filter values in a callback given a callback function\n *\n * !!! Passes a one-based index !!!\n *\n * @param {Array} x\n * @param {Function} callback\n * @return {Array} Returns the filtered array\n * @private\n */\n\n\nfunction _filter(x, callback) {\n  // figure out what number of arguments the callback function expects\n  var args = maxArgumentCount(callback);\n  return filter(x, function (value, index, array) {\n    // invoke the callback function with the right number of arguments\n    if (args === 1) {\n      return callback(value);\n    } else if (args === 2) {\n      return callback(value, [index + 1]);\n    } else {\n      // 3 or -1\n      return callback(value, [index + 1], array);\n    }\n  });\n}\n\nexports.name = 'filter';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n\nvar maxArgumentCount = require('../../utils/function').maxArgumentCount;\n\nvar forEach = require('../../utils/array').forEach;\n/**\n * Attach a transform function to math.forEach\n * Adds a property transform containing the transform function.\n *\n * This transform creates a one-based index instead of a zero-based index\n */\n\n\nfunction factory(type, config, load, typed) {\n  var compileInlineExpression = load(require('./utils/compileInlineExpression'));\n\n  function forEachTransform(args, math, scope) {\n    var x, callback;\n\n    if (args[0]) {\n      x = args[0].compile().eval(scope);\n    }\n\n    if (args[1]) {\n      if (type.isSymbolNode(args[1]) || type.isFunctionAssignmentNode(args[1])) {\n        // a function pointer, like forEach([3, -2, 5], myTestFunction)\n        callback = args[1].compile().eval(scope);\n      } else {\n        // an expression like forEach([3, -2, 5], x > 0 ? callback1(x) : callback2(x) )\n        callback = compileInlineExpression(args[1], math, scope);\n      }\n    }\n\n    return _forEach(x, callback);\n  }\n\n  forEachTransform.rawArgs = true; // one-based version of forEach\n\n  var _forEach = typed('forEach', {\n    'Array | Matrix, function': function ArrayMatrixFunction(array, callback) {\n      // figure out what number of arguments the callback function expects\n      var args = maxArgumentCount(callback);\n\n      var recurse = function recurse(value, index) {\n        if (Array.isArray(value)) {\n          forEach(value, function (child, i) {\n            // we create a copy of the index array and append the new index value\n            recurse(child, index.concat(i + 1)); // one based index, hence i+1\n          });\n        } else {\n          // invoke the callback function with the right number of arguments\n          if (args === 1) {\n            callback(value);\n          } else if (args === 2) {\n            callback(value, index);\n          } else {\n            // 3 or -1\n            callback(value, index, array);\n          }\n        }\n      };\n\n      recurse(array.valueOf(), []); // pass Array\n    }\n  });\n\n  return forEachTransform;\n}\n\nexports.name = 'forEach';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n/**\n * Attach a transform function to math.index\n * Adds a property transform containing the transform function.\n *\n * This transform creates a one-based index instead of a zero-based index\n */\n\nfunction factory(type, config, load) {\n  return function indexTransform() {\n    var args = [];\n\n    for (var i = 0, ii = arguments.length; i < ii; i++) {\n      var arg = arguments[i]; // change from one-based to zero based, and convert BigNumber to number\n\n      if (type.isRange(arg)) {\n        arg.start--;\n        arg.end -= arg.step > 0 ? 0 : 2;\n      } else if (arg && arg.isSet === true) {\n        arg = arg.map(function (v) {\n          return v - 1;\n        });\n      } else if (type.isArray(arg) || type.isMatrix(arg)) {\n        arg = arg.map(function (v) {\n          return v - 1;\n        });\n      } else if (type.isNumber(arg)) {\n        arg--;\n      } else if (type.isBigNumber(arg)) {\n        arg = arg.toNumber() - 1;\n      } else if (typeof arg === 'string') {// leave as is\n      } else {\n        throw new TypeError('Dimension must be an Array, Matrix, number, string, or Range');\n      }\n\n      args[i] = arg;\n    }\n\n    var res = new type.Index();\n    type.Index.apply(res, args);\n    return res;\n  };\n}\n\nexports.name = 'index';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n\nvar maxArgumentCount = require('../../utils/function').maxArgumentCount;\n\nvar map = require('../../utils/array').map;\n/**\n * Attach a transform function to math.map\n * Adds a property transform containing the transform function.\n *\n * This transform creates a one-based index instead of a zero-based index\n */\n\n\nfunction factory(type, config, load, typed) {\n  var compileInlineExpression = load(require('./utils/compileInlineExpression'));\n  var matrix = load(require('../../type/matrix/function/matrix'));\n\n  function mapTransform(args, math, scope) {\n    var x, callback;\n\n    if (args[0]) {\n      x = args[0].compile().eval(scope);\n    }\n\n    if (args[1]) {\n      if (type.isSymbolNode(args[1]) || type.isFunctionAssignmentNode(args[1])) {\n        // a function pointer, like filter([3, -2, 5], myTestFunction)\n        callback = args[1].compile().eval(scope);\n      } else {\n        // an expression like filter([3, -2, 5], x > 0)\n        callback = compileInlineExpression(args[1], math, scope);\n      }\n    }\n\n    return map(x, callback);\n  }\n\n  mapTransform.rawArgs = true; // one-based version of map function\n\n  var map = typed('map', {\n    'Array, function': function ArrayFunction(x, callback) {\n      return _map(x, callback, x);\n    },\n    'Matrix, function': function MatrixFunction(x, callback) {\n      return matrix(_map(x.valueOf(), callback, x));\n    }\n  });\n  return mapTransform;\n}\n/**\n * Map for a multi dimensional array. One-based indexes\n * @param {Array} array\n * @param {function} callback\n * @param {Array} orig\n * @return {Array}\n * @private\n */\n\n\nfunction _map(array, callback, orig) {\n  // figure out what number of arguments the callback function expects\n  var argsCount = maxArgumentCount(callback);\n\n  function recurse(value, index) {\n    if (Array.isArray(value)) {\n      return map(value, function (child, i) {\n        // we create a copy of the index array and append the new index value\n        return recurse(child, index.concat(i + 1)); // one based index, hence i + 1\n      });\n    } else {\n      // invoke the (typed) callback function with the right number of arguments\n      if (argsCount === 1) {\n        return callback(value);\n      } else if (argsCount === 2) {\n        return callback(value, index);\n      } else {\n        // 3 or -1\n        return callback(value, index, orig);\n      }\n    }\n  }\n\n  return recurse(array, []);\n}\n\nexports.name = 'map';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n\nvar errorTransform = require('./error.transform').transform;\n\nvar isCollection = require('../../utils/collection/isCollection');\n/**\n * Attach a transform function to math.max\n * Adds a property transform containing the transform function.\n *\n * This transform changed the last `dim` parameter of function max\n * from one-based to zero based\n */\n\n\nfunction factory(type, config, load, typed) {\n  var max = load(require('../../function/statistics/max'));\n  return typed('max', {\n    '...any': function any(args) {\n      // change last argument dim from one-based to zero-based\n      if (args.length === 2 && isCollection(args[0])) {\n        var dim = args[1];\n\n        if (type.isNumber(dim)) {\n          args[1] = dim - 1;\n        } else if (type.isBigNumber(dim)) {\n          args[1] = dim.minus(1);\n        }\n      }\n\n      try {\n        return max.apply(null, args);\n      } catch (err) {\n        throw errorTransform(err);\n      }\n    }\n  });\n}\n\nexports.name = 'max';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n\nvar errorTransform = require('./error.transform').transform;\n\nvar isCollection = require('../../utils/collection/isCollection');\n/**\n * Attach a transform function to math.mean\n * Adds a property transform containing the transform function.\n *\n * This transform changed the last `dim` parameter of function mean\n * from one-based to zero based\n */\n\n\nfunction factory(type, config, load, typed) {\n  var mean = load(require('../../function/statistics/mean'));\n  return typed('mean', {\n    '...any': function any(args) {\n      // change last argument dim from one-based to zero-based\n      if (args.length === 2 && isCollection(args[0])) {\n        var dim = args[1];\n\n        if (type.isNumber(dim)) {\n          args[1] = dim - 1;\n        } else if (type.isBigNumber(dim)) {\n          args[1] = dim.minus(1);\n        }\n      }\n\n      try {\n        return mean.apply(null, args);\n      } catch (err) {\n        throw errorTransform(err);\n      }\n    }\n  });\n}\n\nexports.name = 'mean';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n\nvar errorTransform = require('./error.transform').transform;\n\nvar isCollection = require('../../utils/collection/isCollection');\n/**\n * Attach a transform function to math.min\n * Adds a property transform containing the transform function.\n *\n * This transform changed the last `dim` parameter of function min\n * from one-based to zero based\n */\n\n\nfunction factory(type, config, load, typed) {\n  var min = load(require('../../function/statistics/min'));\n  return typed('min', {\n    '...any': function any(args) {\n      // change last argument dim from one-based to zero-based\n      if (args.length === 2 && isCollection(args[0])) {\n        var dim = args[1];\n\n        if (type.isNumber(dim)) {\n          args[1] = dim - 1;\n        } else if (type.isBigNumber(dim)) {\n          args[1] = dim.minus(1);\n        }\n      }\n\n      try {\n        return min.apply(null, args);\n      } catch (err) {\n        throw errorTransform(err);\n      }\n    }\n  });\n}\n\nexports.name = 'min';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n/**\n * Attach a transform function to math.range\n * Adds a property transform containing the transform function.\n *\n * This transform creates a range which includes the end value\n */\n\nfunction factory(type, config, load, typed) {\n  var range = load(require('../../function/matrix/range'));\n  return typed('range', {\n    '...any': function any(args) {\n      var lastIndex = args.length - 1;\n      var last = args[lastIndex];\n\n      if (typeof last !== 'boolean') {\n        // append a parameter includeEnd=true\n        args.push(true);\n      }\n\n      return range.apply(null, args);\n    }\n  });\n}\n\nexports.name = 'range';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n\nvar errorTransform = require('./error.transform').transform;\n/**\n * Attach a transform function to math.subset\n * Adds a property transform containing the transform function.\n *\n * This transform creates a range which includes the end value\n */\n\n\nfunction factory(type, config, load, typed) {\n  var subset = load(require('../../function/matrix/subset'));\n  return typed('subset', {\n    '...any': function any(args) {\n      try {\n        return subset.apply(null, args);\n      } catch (err) {\n        throw errorTransform(err);\n      }\n    }\n  });\n}\n\nexports.name = 'subset';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n\nvar errorTransform = require('./error.transform').transform;\n\nvar isCollection = require('../../utils/collection/isCollection');\n/**\n * Attach a transform function to math.sum\n * Adds a property transform containing the transform function.\n *\n * This transform changed the last `dim` parameter of function mean\n * from one-based to zero based\n */\n\n\nfunction factory(type, config, load, typed) {\n  var sum = load(require('../../function/statistics/sum'));\n  return typed('sum', {\n    '...any': function any(args) {\n      // change last argument dim from one-based to zero-based\n      if (args.length === 2 && isCollection(args[0])) {\n        var dim = args[1];\n\n        if (type.isNumber(dim)) {\n          args[1] = dim - 1;\n        } else if (type.isBigNumber(dim)) {\n          args[1] = dim.minus(1);\n        }\n      }\n\n      try {\n        return sum.apply(null, args);\n      } catch (err) {\n        throw errorTransform(err);\n      }\n    }\n  });\n}\n\nexports.name = 'sum';\nexports.path = 'expression.transform';\nexports.factory = factory;","'use strict';\n\nvar object = require('../utils/object');\n\nvar string = require('../utils/string');\n\nfunction factory(type, config, load, typed) {\n  var parser = load(require('./function/parser'))();\n  /**\n   * Documentation object\n   * @param {Object} doc  Object containing properties:\n   *                      {string} name\n   *                      {string} category\n   *                      {string} description\n   *                      {string[]} syntax\n   *                      {string[]} examples\n   *                      {string[]} seealso\n   * @constructor\n   */\n\n  function Help(doc) {\n    if (!(this instanceof Help)) {\n      throw new SyntaxError('Constructor must be called with the new operator');\n    }\n\n    if (!doc) throw new Error('Argument \"doc\" missing');\n    this.doc = doc;\n  }\n  /**\n   * Attach type information\n   */\n\n\n  Help.prototype.type = 'Help';\n  Help.prototype.isHelp = true;\n  /**\n   * Generate a string representation of the Help object\n   * @return {string} Returns a string\n   * @private\n   */\n\n  Help.prototype.toString = function () {\n    var doc = this.doc || {};\n    var desc = '\\n';\n\n    if (doc.name) {\n      desc += 'Name: ' + doc.name + '\\n\\n';\n    }\n\n    if (doc.category) {\n      desc += 'Category: ' + doc.category + '\\n\\n';\n    }\n\n    if (doc.description) {\n      desc += 'Description:\\n    ' + doc.description + '\\n\\n';\n    }\n\n    if (doc.syntax) {\n      desc += 'Syntax:\\n    ' + doc.syntax.join('\\n    ') + '\\n\\n';\n    }\n\n    if (doc.examples) {\n      desc += 'Examples:\\n';\n\n      for (var i = 0; i < doc.examples.length; i++) {\n        var expr = doc.examples[i];\n        desc += '    ' + expr + '\\n';\n        var res = void 0;\n\n        try {\n          // note: res can be undefined when `expr` is an empty string\n          res = parser.eval(expr);\n        } catch (e) {\n          res = e;\n        }\n\n        if (res !== undefined && !type.isHelp(res)) {\n          desc += '        ' + string.format(res, {\n            precision: 14\n          }) + '\\n';\n        }\n      }\n\n      desc += '\\n';\n    }\n\n    if (doc.seealso && doc.seealso.length) {\n      desc += 'See also: ' + doc.seealso.join(', ') + '\\n';\n    }\n\n    return desc;\n  };\n  /**\n   * Export the help object to JSON\n   */\n\n\n  Help.prototype.toJSON = function () {\n    var obj = object.clone(this.doc);\n    obj.mathjs = 'Help';\n    return obj;\n  };\n  /**\n   * Instantiate a Help object from a JSON object\n   * @param {Object} json\n   * @returns {Help} Returns a new Help object\n   */\n\n\n  Help.fromJSON = function (json) {\n    var doc = {};\n\n    for (var prop in json) {\n      if (prop !== 'mathjs') {\n        // ignore mathjs field\n        doc[prop] = json[prop];\n      }\n    }\n\n    return new Help(doc);\n  };\n  /**\n   * Returns a string representation of the Help object\n   */\n\n\n  Help.prototype.valueOf = Help.prototype.toString;\n  return Help;\n}\n\nexports.name = 'Help';\nexports.path = 'type';\nexports.factory = factory;","'use strict';\n\nmodule.exports = [require('./reviver')];","'use strict';\n\nfunction factory(type, config, load, typed, math) {\n  /**\n   * Instantiate mathjs data types from their JSON representation\n   * @param {string} key\n   * @param {*} value\n   * @returns {*} Returns the revived object\n   */\n  return function reviver(key, value) {\n    var constructor = type[value && value.mathjs] || math.expression && math.expression.node[value && value.mathjs]; // TODO: instead of checking math.expression.node, expose all Node classes on math.type too\n\n    if (constructor && typeof constructor.fromJSON === 'function') {\n      return constructor.fromJSON(value);\n    }\n\n    return value;\n  };\n}\n\nexports.name = 'reviver';\nexports.path = 'json';\nexports.factory = factory;\nexports.math = true; // request the math namespace as fifth argument","'use strict';\n\nvar ArgumentsError = require('./ArgumentsError');\n\nvar DimensionError = require('./DimensionError');\n\nvar IndexError = require('./IndexError');\n\nmodule.exports = [{\n  name: 'ArgumentsError',\n  path: 'error',\n  factory: function factory() {\n    return ArgumentsError;\n  }\n}, {\n  name: 'DimensionError',\n  path: 'error',\n  factory: function factory() {\n    return DimensionError;\n  }\n}, {\n  name: 'IndexError',\n  path: 'error',\n  factory: function factory() {\n    return IndexError;\n  }\n}]; // TODO: implement an InvalidValueError?","import _extends from \"@babel/runtime/helpers/esm/extends\";\nimport _objectWithoutPropertiesLoose from \"@babel/runtime/helpers/esm/objectWithoutPropertiesLoose\";\nimport React from 'react';\nimport PropTypes from 'prop-types';\nimport classNames from 'classnames';\nimport { mapToCssModules, tagPropType } from './utils';\nvar propTypes = {\n  tag: tagPropType,\n  wrapTag: tagPropType,\n  toggle: PropTypes.func,\n  className: PropTypes.string,\n  cssModule: PropTypes.object,\n  children: PropTypes.node,\n  closeAriaLabel: PropTypes.string,\n  charCode: PropTypes.oneOfType([PropTypes.string, PropTypes.number]),\n  close: PropTypes.object\n};\nvar defaultProps = {\n  tag: 'h5',\n  wrapTag: 'div',\n  closeAriaLabel: 'Close',\n  charCode: 215\n};\n\nvar ModalHeader = function ModalHeader(props) {\n  var closeButton;\n\n  var className = props.className,\n      cssModule = props.cssModule,\n      children = props.children,\n      toggle = props.toggle,\n      Tag = props.tag,\n      WrapTag = props.wrapTag,\n      closeAriaLabel = props.closeAriaLabel,\n      charCode = props.charCode,\n      close = props.close,\n      attributes = _objectWithoutPropertiesLoose(props, [\"className\", \"cssModule\", \"children\", \"toggle\", \"tag\", \"wrapTag\", \"closeAriaLabel\", \"charCode\", \"close\"]);\n\n  var classes = mapToCssModules(classNames(className, 'modal-header'), cssModule);\n\n  if (!close && toggle) {\n    var closeIcon = typeof charCode === 'number' ? String.fromCharCode(charCode) : charCode;\n    closeButton = React.createElement(\"button\", {\n      type: \"button\",\n      onClick: toggle,\n      className: mapToCssModules('close', cssModule),\n      \"aria-label\": closeAriaLabel\n    }, React.createElement(\"span\", {\n      \"aria-hidden\": \"true\"\n    }, closeIcon));\n  }\n\n  return React.createElement(WrapTag, _extends({}, attributes, {\n    className: classes\n  }), React.createElement(Tag, {\n    className: mapToCssModules('modal-title', cssModule)\n  }, children), close || closeButton);\n};\n\nModalHeader.propTypes = propTypes;\nModalHeader.defaultProps = defaultProps;\nexport default ModalHeader;","import _extends from \"@babel/runtime/helpers/esm/extends\";\nimport _objectWithoutPropertiesLoose from \"@babel/runtime/helpers/esm/objectWithoutPropertiesLoose\";\nimport React from 'react';\nimport PropTypes from 'prop-types';\nimport classNames from 'classnames';\nimport { mapToCssModules, tagPropType } from './utils';\nvar propTypes = {\n  tag: tagPropType,\n  className: PropTypes.string,\n  cssModule: PropTypes.object\n};\nvar defaultProps = {\n  tag: 'div'\n};\n\nvar ModalBody = function ModalBody(props) {\n  var className = props.className,\n      cssModule = props.cssModule,\n      Tag = props.tag,\n      attributes = _objectWithoutPropertiesLoose(props, [\"className\", \"cssModule\", \"tag\"]);\n\n  var classes = mapToCssModules(classNames(className, 'modal-body'), cssModule);\n  return React.createElement(Tag, _extends({}, attributes, {\n    className: classes\n  }));\n};\n\nModalBody.propTypes = propTypes;\nModalBody.defaultProps = defaultProps;\nexport default ModalBody;","export default function _defineProperty(obj, key, value) {\n  if (key in obj) {\n    Object.defineProperty(obj, key, {\n      value: value,\n      enumerable: true,\n      configurable: true,\n      writable: true\n    });\n  } else {\n    obj[key] = value;\n  }\n\n  return obj;\n}","import defineProperty from \"./defineProperty\";\nexport default function _objectSpread(target) {\n  for (var i = 1; i < arguments.length; i++) {\n    var source = arguments[i] != null ? arguments[i] : {};\n    var ownKeys = Object.keys(source);\n\n    if (typeof Object.getOwnPropertySymbols === 'function') {\n      ownKeys = ownKeys.concat(Object.getOwnPropertySymbols(source).filter(function (sym) {\n        return Object.getOwnPropertyDescriptor(source, sym).enumerable;\n      }));\n    }\n\n    ownKeys.forEach(function (key) {\n      defineProperty(target, key, source[key]);\n    });\n  }\n\n  return target;\n}","export default function _inheritsLoose(subClass, superClass) {\n  subClass.prototype = Object.create(superClass.prototype);\n  subClass.prototype.constructor = subClass;\n  subClass.__proto__ = superClass;\n}","export default function _assertThisInitialized(self) {\n  if (self === void 0) {\n    throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n  }\n\n  return self;\n}","import _inheritsLoose from \"@babel/runtime/helpers/esm/inheritsLoose\";\nimport React from 'react';\nimport ReactDOM from 'react-dom';\nimport PropTypes from 'prop-types';\nimport { canUseDOM } from './utils';\nvar propTypes = {\n  children: PropTypes.node.isRequired,\n  node: PropTypes.any\n};\n\nvar Portal =\n/*#__PURE__*/\nfunction (_React$Component) {\n  _inheritsLoose(Portal, _React$Component);\n\n  function Portal() {\n    return _React$Component.apply(this, arguments) || this;\n  }\n\n  var _proto = Portal.prototype;\n\n  _proto.componentWillUnmount = function componentWillUnmount() {\n    if (this.defaultNode) {\n      document.body.removeChild(this.defaultNode);\n    }\n\n    this.defaultNode = null;\n  };\n\n  _proto.render = function render() {\n    if (!canUseDOM) {\n      return null;\n    }\n\n    if (!this.props.node && !this.defaultNode) {\n      this.defaultNode = document.createElement('div');\n      document.body.appendChild(this.defaultNode);\n    }\n\n    return ReactDOM.createPortal(this.props.children, this.props.node || this.defaultNode);\n  };\n\n  return Portal;\n}(React.Component);\n\nPortal.propTypes = propTypes;\nexport default Portal;","import _extends from \"@babel/runtime/helpers/esm/extends\";\nimport _objectWithoutPropertiesLoose from \"@babel/runtime/helpers/esm/objectWithoutPropertiesLoose\";\nimport _objectSpread from \"@babel/runtime/helpers/esm/objectSpread\";\nimport React from 'react';\nimport PropTypes from 'prop-types';\nimport classNames from 'classnames';\nimport { Transition } from 'react-transition-group';\nimport { mapToCssModules, omit, pick, TransitionPropTypeKeys, TransitionTimeouts, tagPropType } from './utils';\n\nvar propTypes = _objectSpread({}, Transition.propTypes, {\n  children: PropTypes.oneOfType([PropTypes.arrayOf(PropTypes.node), PropTypes.node]),\n  tag: tagPropType,\n  baseClass: PropTypes.string,\n  baseClassActive: PropTypes.string,\n  className: PropTypes.string,\n  cssModule: PropTypes.object,\n  innerRef: PropTypes.oneOfType([PropTypes.object, PropTypes.string, PropTypes.func])\n});\n\nvar defaultProps = _objectSpread({}, Transition.defaultProps, {\n  tag: 'div',\n  baseClass: 'fade',\n  baseClassActive: 'show',\n  timeout: TransitionTimeouts.Fade,\n  appear: true,\n  enter: true,\n  exit: true,\n  in: true\n});\n\nfunction Fade(props) {\n  var Tag = props.tag,\n      baseClass = props.baseClass,\n      baseClassActive = props.baseClassActive,\n      className = props.className,\n      cssModule = props.cssModule,\n      children = props.children,\n      innerRef = props.innerRef,\n      otherProps = _objectWithoutPropertiesLoose(props, [\"tag\", \"baseClass\", \"baseClassActive\", \"className\", \"cssModule\", \"children\", \"innerRef\"]);\n\n  var transitionProps = pick(otherProps, TransitionPropTypeKeys);\n  var childProps = omit(otherProps, TransitionPropTypeKeys);\n  return React.createElement(Transition, transitionProps, function (status) {\n    var isActive = status === 'entered';\n    var classes = mapToCssModules(classNames(className, baseClass, isActive && baseClassActive), cssModule);\n    return React.createElement(Tag, _extends({\n      className: classes\n    }, childProps, {\n      ref: innerRef\n    }), children);\n  });\n}\n\nFade.propTypes = propTypes;\nFade.defaultProps = defaultProps;\nexport default Fade;","import _objectSpread from \"@babel/runtime/helpers/esm/objectSpread\";\nimport _extends from \"@babel/runtime/helpers/esm/extends\";\nimport _inheritsLoose from \"@babel/runtime/helpers/esm/inheritsLoose\";\nimport _assertThisInitialized from \"@babel/runtime/helpers/esm/assertThisInitialized\";\nimport React from 'react';\nimport PropTypes from 'prop-types';\nimport classNames from 'classnames';\nimport Portal from './Portal';\nimport Fade from './Fade';\nimport { getOriginalBodyPadding, conditionallyUpdateScrollbar, setScrollbarWidth, mapToCssModules, omit, focusableElements, TransitionTimeouts } from './utils';\n\nfunction noop() {}\n\nvar FadePropTypes = PropTypes.shape(Fade.propTypes);\nvar propTypes = {\n  isOpen: PropTypes.bool,\n  autoFocus: PropTypes.bool,\n  centered: PropTypes.bool,\n  size: PropTypes.string,\n  toggle: PropTypes.func,\n  keyboard: PropTypes.bool,\n  role: PropTypes.string,\n  labelledBy: PropTypes.string,\n  backdrop: PropTypes.oneOfType([PropTypes.bool, PropTypes.oneOf(['static'])]),\n  onEnter: PropTypes.func,\n  onExit: PropTypes.func,\n  onOpened: PropTypes.func,\n  onClosed: PropTypes.func,\n  children: PropTypes.node,\n  className: PropTypes.string,\n  wrapClassName: PropTypes.string,\n  modalClassName: PropTypes.string,\n  backdropClassName: PropTypes.string,\n  contentClassName: PropTypes.string,\n  external: PropTypes.node,\n  fade: PropTypes.bool,\n  cssModule: PropTypes.object,\n  zIndex: PropTypes.oneOfType([PropTypes.number, PropTypes.string]),\n  backdropTransition: FadePropTypes,\n  modalTransition: FadePropTypes,\n  innerRef: PropTypes.oneOfType([PropTypes.object, PropTypes.string, PropTypes.func])\n};\nvar propsToOmit = Object.keys(propTypes);\nvar defaultProps = {\n  isOpen: false,\n  autoFocus: true,\n  centered: false,\n  role: 'dialog',\n  backdrop: true,\n  keyboard: true,\n  zIndex: 1050,\n  fade: true,\n  onOpened: noop,\n  onClosed: noop,\n  modalTransition: {\n    timeout: TransitionTimeouts.Modal\n  },\n  backdropTransition: {\n    mountOnEnter: true,\n    timeout: TransitionTimeouts.Fade // uses standard fade transition\n\n  }\n};\n\nvar Modal =\n/*#__PURE__*/\nfunction (_React$Component) {\n  _inheritsLoose(Modal, _React$Component);\n\n  function Modal(props) {\n    var _this;\n\n    _this = _React$Component.call(this, props) || this;\n    _this._element = null;\n    _this._originalBodyPadding = null;\n    _this.getFocusableChildren = _this.getFocusableChildren.bind(_assertThisInitialized(_assertThisInitialized(_this)));\n    _this.handleBackdropClick = _this.handleBackdropClick.bind(_assertThisInitialized(_assertThisInitialized(_this)));\n    _this.handleBackdropMouseDown = _this.handleBackdropMouseDown.bind(_assertThisInitialized(_assertThisInitialized(_this)));\n    _this.handleEscape = _this.handleEscape.bind(_assertThisInitialized(_assertThisInitialized(_this)));\n    _this.handleTab = _this.handleTab.bind(_assertThisInitialized(_assertThisInitialized(_this)));\n    _this.onOpened = _this.onOpened.bind(_assertThisInitialized(_assertThisInitialized(_this)));\n    _this.onClosed = _this.onClosed.bind(_assertThisInitialized(_assertThisInitialized(_this)));\n    _this.state = {\n      isOpen: props.isOpen\n    };\n\n    if (props.isOpen) {\n      _this.init();\n    }\n\n    return _this;\n  }\n\n  var _proto = Modal.prototype;\n\n  _proto.componentDidMount = function componentDidMount() {\n    if (this.props.onEnter) {\n      this.props.onEnter();\n    }\n\n    if (this.state.isOpen && this.props.autoFocus) {\n      this.setFocus();\n    }\n\n    this._isMounted = true;\n  };\n\n  _proto.componentWillReceiveProps = function componentWillReceiveProps(nextProps) {\n    if (nextProps.isOpen && !this.props.isOpen) {\n      this.setState({\n        isOpen: nextProps.isOpen\n      });\n    }\n  };\n\n  _proto.componentWillUpdate = function componentWillUpdate(nextProps, nextState) {\n    if (nextState.isOpen && !this.state.isOpen) {\n      this.init();\n    }\n  };\n\n  _proto.componentDidUpdate = function componentDidUpdate(prevProps, prevState) {\n    if (this.props.autoFocus && this.state.isOpen && !prevState.isOpen) {\n      this.setFocus();\n    }\n\n    if (this._element && prevProps.zIndex !== this.props.zIndex) {\n      this._element.style.zIndex = this.props.zIndex;\n    }\n  };\n\n  _proto.componentWillUnmount = function componentWillUnmount() {\n    if (this.props.onExit) {\n      this.props.onExit();\n    }\n\n    if (this.state.isOpen) {\n      this.destroy();\n    }\n\n    this._isMounted = false;\n  };\n\n  _proto.onOpened = function onOpened(node, isAppearing) {\n    this.props.onOpened();\n    (this.props.modalTransition.onEntered || noop)(node, isAppearing);\n  };\n\n  _proto.onClosed = function onClosed(node) {\n    // so all methods get called before it is unmounted\n    this.props.onClosed();\n    (this.props.modalTransition.onExited || noop)(node);\n    this.destroy();\n\n    if (this._isMounted) {\n      this.setState({\n        isOpen: false\n      });\n    }\n  };\n\n  _proto.setFocus = function setFocus() {\n    if (this._dialog && this._dialog.parentNode && typeof this._dialog.parentNode.focus === 'function') {\n      this._dialog.parentNode.focus();\n    }\n  };\n\n  _proto.getFocusableChildren = function getFocusableChildren() {\n    return this._element.querySelectorAll(focusableElements.join(', '));\n  };\n\n  _proto.getFocusedChild = function getFocusedChild() {\n    var currentFocus;\n    var focusableChildren = this.getFocusableChildren();\n\n    try {\n      currentFocus = document.activeElement;\n    } catch (err) {\n      currentFocus = focusableChildren[0];\n    }\n\n    return currentFocus;\n  } // not mouseUp because scrollbar fires it, shouldn't close when user scrolls\n  ;\n\n  _proto.handleBackdropClick = function handleBackdropClick(e) {\n    if (e.target === this._mouseDownElement) {\n      e.stopPropagation();\n      if (!this.props.isOpen || this.props.backdrop !== true) return;\n      var backdrop = this._dialog ? this._dialog.parentNode : null;\n\n      if (backdrop && e.target === backdrop && this.props.toggle) {\n        this.props.toggle(e);\n      }\n    }\n  };\n\n  _proto.handleTab = function handleTab(e) {\n    if (e.which !== 9) return;\n    var focusableChildren = this.getFocusableChildren();\n    var totalFocusable = focusableChildren.length;\n    var currentFocus = this.getFocusedChild();\n    var focusedIndex = 0;\n\n    for (var i = 0; i < totalFocusable; i += 1) {\n      if (focusableChildren[i] === currentFocus) {\n        focusedIndex = i;\n        break;\n      }\n    }\n\n    if (e.shiftKey && focusedIndex === 0) {\n      e.preventDefault();\n      focusableChildren[totalFocusable - 1].focus();\n    } else if (!e.shiftKey && focusedIndex === totalFocusable - 1) {\n      e.preventDefault();\n      focusableChildren[0].focus();\n    }\n  };\n\n  _proto.handleBackdropMouseDown = function handleBackdropMouseDown(e) {\n    this._mouseDownElement = e.target;\n  };\n\n  _proto.handleEscape = function handleEscape(e) {\n    if (this.props.isOpen && this.props.keyboard && e.keyCode === 27 && this.props.toggle) {\n      e.preventDefault();\n      e.stopPropagation();\n      this.props.toggle(e);\n    }\n  };\n\n  _proto.init = function init() {\n    try {\n      this._triggeringElement = document.activeElement;\n    } catch (err) {\n      this._triggeringElement = null;\n    }\n\n    this._element = document.createElement('div');\n\n    this._element.setAttribute('tabindex', '-1');\n\n    this._element.style.position = 'relative';\n    this._element.style.zIndex = this.props.zIndex;\n    this._originalBodyPadding = getOriginalBodyPadding();\n    conditionallyUpdateScrollbar();\n    document.body.appendChild(this._element);\n\n    if (Modal.openCount === 0) {\n      document.body.className = classNames(document.body.className, mapToCssModules('modal-open', this.props.cssModule));\n    }\n\n    Modal.openCount += 1;\n  };\n\n  _proto.destroy = function destroy() {\n    if (this._element) {\n      document.body.removeChild(this._element);\n      this._element = null;\n    }\n\n    if (this._triggeringElement) {\n      if (this._triggeringElement.focus) this._triggeringElement.focus();\n      this._triggeringElement = null;\n    }\n\n    if (Modal.openCount <= 1) {\n      var modalOpenClassName = mapToCssModules('modal-open', this.props.cssModule); // Use regex to prevent matching `modal-open` as part of a different class, e.g. `my-modal-opened`\n\n      var modalOpenClassNameRegex = new RegExp(\"(^| )\" + modalOpenClassName + \"( |$)\");\n      document.body.className = document.body.className.replace(modalOpenClassNameRegex, ' ').trim();\n    }\n\n    Modal.openCount -= 1;\n    setScrollbarWidth(this._originalBodyPadding);\n  };\n\n  _proto.renderModalDialog = function renderModalDialog() {\n    var _classNames,\n        _this2 = this;\n\n    var attributes = omit(this.props, propsToOmit);\n    var dialogBaseClass = 'modal-dialog';\n    return React.createElement(\"div\", _extends({}, attributes, {\n      className: mapToCssModules(classNames(dialogBaseClass, this.props.className, (_classNames = {}, _classNames[\"modal-\" + this.props.size] = this.props.size, _classNames[dialogBaseClass + \"-centered\"] = this.props.centered, _classNames)), this.props.cssModule),\n      role: \"document\",\n      ref: function ref(c) {\n        _this2._dialog = c;\n      }\n    }), React.createElement(\"div\", {\n      className: mapToCssModules(classNames('modal-content', this.props.contentClassName), this.props.cssModule)\n    }, this.props.children));\n  };\n\n  _proto.render = function render() {\n    if (this.state.isOpen) {\n      var _this$props = this.props,\n          wrapClassName = _this$props.wrapClassName,\n          modalClassName = _this$props.modalClassName,\n          backdropClassName = _this$props.backdropClassName,\n          cssModule = _this$props.cssModule,\n          isOpen = _this$props.isOpen,\n          backdrop = _this$props.backdrop,\n          role = _this$props.role,\n          labelledBy = _this$props.labelledBy,\n          external = _this$props.external,\n          innerRef = _this$props.innerRef;\n      var modalAttributes = {\n        onClick: this.handleBackdropClick,\n        onMouseDown: this.handleBackdropMouseDown,\n        onKeyUp: this.handleEscape,\n        onKeyDown: this.handleTab,\n        style: {\n          display: 'block'\n        },\n        'aria-labelledby': labelledBy,\n        role: role,\n        tabIndex: '-1'\n      };\n      var hasTransition = this.props.fade;\n\n      var modalTransition = _objectSpread({}, Fade.defaultProps, this.props.modalTransition, {\n        baseClass: hasTransition ? this.props.modalTransition.baseClass : '',\n        timeout: hasTransition ? this.props.modalTransition.timeout : 0\n      });\n\n      var backdropTransition = _objectSpread({}, Fade.defaultProps, this.props.backdropTransition, {\n        baseClass: hasTransition ? this.props.backdropTransition.baseClass : '',\n        timeout: hasTransition ? this.props.backdropTransition.timeout : 0\n      });\n\n      var Backdrop = backdrop && (hasTransition ? React.createElement(Fade, _extends({}, backdropTransition, {\n        in: isOpen && !!backdrop,\n        cssModule: cssModule,\n        className: mapToCssModules(classNames('modal-backdrop', backdropClassName), cssModule)\n      })) : React.createElement(\"div\", {\n        className: mapToCssModules(classNames('modal-backdrop', 'show', backdropClassName), cssModule)\n      }));\n      return React.createElement(Portal, {\n        node: this._element\n      }, React.createElement(\"div\", {\n        className: mapToCssModules(wrapClassName)\n      }, React.createElement(Fade, _extends({}, modalAttributes, modalTransition, {\n        in: isOpen,\n        onEntered: this.onOpened,\n        onExited: this.onClosed,\n        cssModule: cssModule,\n        className: mapToCssModules(classNames('modal', modalClassName), cssModule),\n        innerRef: innerRef\n      }), external, this.renderModalDialog()), Backdrop));\n    }\n\n    return null;\n  };\n\n  return Modal;\n}(React.Component);\n\nModal.propTypes = propTypes;\nModal.defaultProps = defaultProps;\nModal.openCount = 0;\nexport default Modal;"],"sourceRoot":""}