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this.$el.querySelectorAll('.alert.alert-danger .error_notification').forEach((e) => {\n e.parentElement.remove();\n });\n },\n}));\n","import { getIn, setIn } from '../../modules/lang.js';\nimport bp from './select2/basic_plan.js';\nimport multiBp from './select2/multi_basic_plan.js';\nimport producer from './select2/producer.js';\nimport client from './select2/client.js';\n\n$.fn.select2.defaults.allowClear = true;\n\nconst optionsMap = {\n BasicPlan: bp,\n MultiBasicPlan: multiBp,\n Producer: producer,\n Client: client,\n}\n\nAlpine.data('select2', ({optionSet, xModelKey, options = {}} = {}) => {\n let opts = optionsMap[optionSet] || {};\n let s2Opts = {...opts, ...options};\n\n return {\n init() {\n let isMultiple = s2Opts.multiple;\n let isObject = typeof(getIn(this, xModelKey)) === 'object';\n\n if (xModelKey && s2Opts.initSelection) {\n let initSelection = s2Opts.initSelection;\n s2Opts.initSelection = (el, callback) => {\n initSelection(el, (data) => {\n callback(data);\n if (isObject) {\n setIn(this, xModelKey, data);\n } else {\n setIn(this, xModelKey, isMultiple ? data.map(v => v.id).join(',') : data.id);\n }\n })\n };\n }\n\n let el = $(this.$el).select2(s2Opts);\n\n if (xModelKey) {\n el.on('change', (evt) => {\n if (evt.hasOwnProperty('val')) {\n if (isObject) {\n setIn(this, xModelKey, el.select2('data'));\n } else {\n setIn(this, xModelKey, isMultiple ? evt.val.join(',') : evt.val);\n }\n this.$el.dispatchEvent(new Event('change', {bubbles: true, cancelable: true}));\n }\n });\n\n this.$watch(xModelKey, (newVal) => {\n let newKey = newVal\n\n if (isObject) {\n newKey = isMultiple ? (newVal || []).map(v => v.id) : (newVal || {}).id;\n }\n\n if (newKey != this.$el.value) {\n if (isObject) {\n el.data(newVal).trigger('change');\n } else {\n el.val(isMultiple ? newVal.split(/\\s*,\\s*/) : newVal).trigger('change');\n }\n this.$el.dispatchEvent(new Event('change', {bubbles: true, cancelable: true}));\n }\n });\n } else {\n\tel.on('change', (evt) => {\n if (evt.hasOwnProperty('val')) {\n this.$el.dispatchEvent(new Event('change', {bubbles: true, cancelable: true}));\n }\n })\n }\n },\n\n destroy() {\n $(this.$el).select2('destroy');\n },\n }\n});\n","export default {\n placeholder: 'Select a plan',\n ajax: {\n url: `${window.app.relative_url}/basic_plans.json?state=-pending`,\n dataType: 'json',\n data: (term) => ({search: {keyword: term}}),\n results: (resp) => ({results: resp.data}),\n },\n initSelection: (el, callback) => {\n let s2Val = $(el).select2('val');\n if (s2Val) {\n $.ajax({\n url: `${window.app.relative_url}/basic_plans/${s2Val}.json?select2_format=true`,\n dataType: 'json',\n }).done((resp) => callback(resp.data));\n }\n },\n}\n","export default {\n placeholder: 'Select a client',\n minimumInputLength: 1,\n ajax: {\n url: `${window.app.relative_url}/clients.json`,\n dataType: 'json',\n data: (term) => ({search: {keyword: term}}),\n results: (resp) => ({results: resp}),\n },\n initSelection: (el, callback) => {\n let s2Val = $(el).select2('val');\n if (s2Val) {\n $.ajax({\n url: `${window.app.relative_url}/clients/${s2Val}.json`,\n dataType: 'json',\n }).done((resp) => callback(resp));\n }\n },\n}\n","import qs from 'qs';\n\nexport default {\n placeholder: 'Select a plan',\n multiple: true,\n ajax: {\n url: `${window.app.relative_url}/basic_plans.json?${qs.stringify({return_plan_no: true, state: '-pending'})}`,\n dataType: 'json',\n data: (term) => ({search: {keyword: term}}),\n results: (resp) => ({results: resp.data}),\n },\n initSelection: (el, callback) => {\n let s2Val = $(el).select2('val').join();\n if (s2Val) {\n $.ajax({\n url: `${window.app.relative_url}/basic_plans.json?return_plan_no=true`,\n dataType: 'json',\n data: {search: {plan_nos: s2Val}},\n }).done((resp) => callback(resp.data));\n }\n },\n}\n","export default {\n placeholder: 'Select a producer',\n minimumInputLength: 1,\n ajax: {\n url: `${window.app.relative_url}/producers/search.json`,\n dataType: 'json',\n data: (term) => ({q: term, status: 'A'}),\n results: (resp) => ({results: resp}),\n },\n initSelection: (el, callback) => {\n let s2Val = $(el).select2('val');\n if (s2Val) {\n $.ajax({\n url: `${window.app.relative_url}/producers/${s2Val}.json`,\n dataType: 'json',\n }).done((resp) => callback(resp));\n }\n },\n}\n","import { fromJson } from '../../modules/utils.js';\n\nAlpine.data('toggleItems', (itemMap) => ({\n itemMap: fromJson(itemMap), // object that map key to checked (boolean), e.g. {'a': false, 'b': true}\n\n get checkedKeys() {\n return Object.keys(this.itemMap).filter(key => this.itemMap[key]);\n },\n\n get checkedCount() {\n return this.checkedKeys.length;\n },\n\n get isAllChecked() {\n let len = Object.keys(this.itemMap).length;\n return len > 0 && this.checkedCount === len;\n },\n\n toggle(key) {\n this.itemMap[key] = !this.itemMap[key];\n },\n\n toggleAll(checked) {\n Object.keys(this.itemMap).forEach(key => this.itemMap[key] = checked);\n },\n\n remove(key) {\n delete this.itemMap[key];\n },\n}));\n","import { decodeCGIEscape } from '../../modules/utils.js';\n\nAlpine.data('xEdit', ({origText, inputElm, onBeforeSave}) => {\n let text = decodeCGIEscape(origText);\n\n return {\n origText: text,\n newText: text,\n isEditing: false,\n errMessage: null,\n\n get displayText() {\n return this.origText || 'click to edit';\n },\n\n edit() {\n this.isEditing = true;\n this.$nextTick(() => {\n inputElm.focus();\n inputElm.select();\n });\n },\n\n enter(evt) {\n if (evt.ctrlKey) {\n this.save();\n }\n },\n\n async save() {\n let [ok, msg] = [true, null];\n\n if (onBeforeSave) {\n [ok, msg] = await onBeforeSave(this.newText);\n }\n\n if (ok) {\n this.origText = this.newText;\n this.isEditing = false;\n this.errMessage = null;\n } else {\n this.errMessage = msg;\n };\n },\n\n cancel() {\n this.newText = this.origText;\n this.isEditing = false;\n },\n }\n});\n","Alpine.directive('tooltip', (el, { modifiers, expression }, { evaluateLater, effect }) => {\n let opts = {placement: 'bottom'};\n\n if (modifiers.includes('top')) {\n opts.placement = 'top';\n } else if (modifiers.includes('bottom')) {\n opts.placement = 'bottom';\n } else if (modifiers.includes('left')) {\n opts.placement = 'left';\n } else if (modifiers.includes('right')) {\n opts.placement = 'right';\n } else if (modifiers.includes('auto')) {\n opts.placement = 'auto';\n }\n\n if (modifiers.includes('raw')) {\n $(el).tooltip({...{title: expression}, ...opts});\n } else {\n let evaluate = evaluateLater(expression);\n\n $(el).tooltip(opts);\n\n effect(() => {\n evaluate(val => {\n Alpine.mutateDom(() => { $(el).attr('title', val).tooltip('fixTitle'); })\n })\n })\n }\n});\n","import { getIn, setIn } from '../modules/lang.js';\nimport { toCurrency, angularApply, dateDiffInMonth } from '../modules/utils.js';\n\nAlpine.magic('getIn', (el, { Alpine: { $data } }) => {\n return (path) => { return getIn($data(el), path); }\n});\n\nAlpine.magic('setIn', (el, { Alpine: { $data } }) => {\n return (path, val) => { setIn($data(el), path, val); }\n});\n\nAlpine.magic('toCurrency', () => toCurrency);\n\nAlpine.magic('angularApply', (el, { Alpine: { $data } }) => {\n return () => { $data(el).$nextTick(angularApply); }\n});\n\nAlpine.magic('dateDiffInMonth', () => dateDiffInMonth);\n\nAlpine.magic('n2d', () => (val) => {\n return (val === undefined || val === null || val === '') ? '-' : val;\n});\n","var map = {\n\t\"./components/datepicker.js\": 4385,\n\t\"./components/form_handler.js\": 4597,\n\t\"./components/select2.js\": 3796,\n\t\"./components/select2/basic_plan.js\": 5204,\n\t\"./components/select2/client.js\": 1730,\n\t\"./components/select2/multi_basic_plan.js\": 5405,\n\t\"./components/select2/producer.js\": 6532,\n\t\"./components/toggle_items.js\": 4614,\n\t\"./components/xedit.js\": 2142,\n\t\"./directives/tooltip.js\": 3152,\n\t\"./magics.js\": 1786\n};\n\n\nfunction webpackContext(req) {\n\tvar id = webpackContextResolve(req);\n\treturn __webpack_require__(id);\n}\nfunction webpackContextResolve(req) {\n\tif(!__webpack_require__.o(map, req)) {\n\t\tvar e = new Error(\"Cannot find module '\" + req + \"'\");\n\t\te.code = 'MODULE_NOT_FOUND';\n\t\tthrow e;\n\t}\n\treturn map[req];\n}\nwebpackContext.keys = function webpackContextKeys() {\n\treturn Object.keys(map);\n};\nwebpackContext.resolve = webpackContextResolve;\nmodule.exports = webpackContext;\nwebpackContext.id = 6184;","// ref: https://youmightnotneed.com/lodash#get\n//\n// const simpleObject = { a: { b: 2 } }\n// const complexObject = { a: [{ bar: { c: 3 } }] }\n// const falsyObject = { a: null, b: undefined, c: 0 }\n//\n// get(simpleObject, 'a.b') => 2\n// get(complexObject, 'a[0].bar.c') => 3\n// get(complexObject, ['a', '0', 'bar', 'c']) => 2\n// get(simpleObject, 'a.bar.c', 'default') => 'default'\n// get(complexObject, 'a.bar.c', 'default') => 'default\n// get(complexObject, null) => undefined\n// get(falsyObject, 'a', 'default') => null\n// get(falsyObject, 'b', 'default') => undefined\n// get(falsyObject, 'c', 'default') => zero\n//\nexport const getIn = (obj, path, defValue) => {\n if (!path) return undefined\n\n // Regex explained: https://regexr.com/58j0k\n const pathArray = Array.isArray(path) ? path : path.match(/([^[.\\]])+/g);\n\n const result = pathArray.reduce(\n (prevObj, key) => prevObj && prevObj[key],\n obj\n );\n\n return result === undefined ? defValue : result;\n}\n\n// ref: https://youmightnotneed.com/lodash#set\n//\n// const object = { a: [{ bar: { c: 3 } }] }\n//\n// set(object, 'a[0].bar.c', 4)\n// object.a[0].bar.c => 4\n//\n// set(object, ['x', '0', 'y', 'z'], 5)\n// object.x[0].y.z => 5\n//\nexport const setIn = (obj, path, value) => {\n // Regex explained: https://regexr.com/58j0k\n const pathArray = Array.isArray(path) ? path : path.match(/([^[.\\]])+/g);\n\n pathArray.reduce((acc, key, i) => {\n if (acc[key] === undefined) { acc[key] = {} };\n if (i === pathArray.length - 1) { acc[key] = value };\n return acc[key];\n }, obj)\n}\n","function _extends() {\n return _extends = Object.assign ? Object.assign.bind() : function (n) {\n for (var e = 1; e < arguments.length; e++) {\n var t = arguments[e];\n for (var r in t) ({}).hasOwnProperty.call(t, r) && (n[r] = t[r]);\n }\n return n;\n }, _extends.apply(null, arguments);\n}\nexport { _extends as default };","export var DEFAULT_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};","import _extends from \"@babel/runtime/helpers/extends\";\nimport { DEFAULT_CONFIG } from '../core/config.js';\nimport { MATRIX_OPTIONS, NUMBER_OPTIONS } from '../core/function/config.js'; // create a read-only version of config\n\nexport var config = /* #__PURE__ */function config(options) {\n if (options) {\n throw new Error('The global config is readonly. \\n' + 'Please create a mathjs instance if you want to change the default configuration. \\n' + 'Example:\\n' + '\\n' + ' import { create, all } from \\'mathjs\\';\\n' + ' const mathjs = create(all);\\n' + ' mathjs.config({ number: \\'BigNumber\\' });\\n');\n }\n\n return Object.freeze(DEFAULT_CONFIG);\n};\n\n_extends(config, DEFAULT_CONFIG, {\n MATRIX_OPTIONS,\n NUMBER_OPTIONS\n});","import { clone, mapObject, deepExtend } from '../../utils/object.js';\nimport { DEFAULT_CONFIG } from '../config.js';\nexport var MATRIX_OPTIONS = ['Matrix', 'Array']; // valid values for option matrix\n\nexport var NUMBER_OPTIONS = ['number', 'BigNumber', 'Fraction']; // valid values for option number\n\nexport function configFactory(config, emit) {\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 * This function is only available on a mathjs instance created using `create`.\n *\n * Syntax:\n *\n * math.config(config: Object): Object\n *\n * Examples:\n *\n *\n * import { create, all } from 'mathjs'\n *\n * // create a mathjs instance\n * const math = create(all)\n *\n * math.config().number // outputs 'number'\n * math.evaluate('0.4') // outputs number 0.4\n * math.config({number: 'Fraction'})\n * math.evaluate('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 function _config(options) {\n if (options) {\n var prev = mapObject(config, clone); // validate some of the options\n\n validateOption(options, 'matrix', MATRIX_OPTIONS);\n validateOption(options, 'number', NUMBER_OPTIONS); // merge options\n\n deepExtend(config, options);\n var curr = mapObject(config, clone);\n var changes = mapObject(options, clone); // emit 'config' event\n\n emit('config', curr, prev, changes);\n return curr;\n } else {\n return mapObject(config, clone);\n }\n } // attach the valid options to the function so they can be extended\n\n\n _config.MATRIX_OPTIONS = MATRIX_OPTIONS;\n _config.NUMBER_OPTIONS = NUMBER_OPTIONS; // attach the config properties as readonly properties to the config function\n\n Object.keys(DEFAULT_CONFIG).forEach(key => {\n Object.defineProperty(_config, key, {\n get: () => config[key],\n enumerable: true,\n configurable: true\n });\n });\n return _config;\n}\n/**\n * Test whether an Array contains a specific item.\n * @param {Array.} array\n * @param {string} item\n * @return {boolean}\n */\n\nfunction contains(array, item) {\n return array.indexOf(item) !== -1;\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.} 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 // unknown value\n console.warn('Warning: Unknown value \"' + options[name] + '\" for configuration option \"' + name + '\". ' + 'Available options: ' + values.map(value => JSON.stringify(value)).join(', ') + '.');\n }\n}","/*!\r\n * decimal.js v10.4.3\r\n * An arbitrary-precision Decimal type for JavaScript.\r\n * https://github.com/MikeMcl/decimal.js\r\n * Copyright (c) 2022 Michael Mclaughlin \r\n * MIT Licence\r\n */\r\n\r\n\r\n// ----------------------------------- EDITABLE DEFAULTS ------------------------------------ //\r\n\r\n\r\n // The maximum exponent magnitude.\r\n // The limit on the value of `toExpNeg`, `toExpPos`, `minE` and `maxE`.\r\nvar EXP_LIMIT = 9e15, // 0 to 9e15\r\n\r\n // The limit on the value of `precision`, and on the value of the first argument to\r\n // `toDecimalPlaces`, `toExponential`, `toFixed`, `toPrecision` and `toSignificantDigits`.\r\n MAX_DIGITS = 1e9, // 0 to 1e9\r\n\r\n // Base conversion alphabet.\r\n NUMERALS = '0123456789abcdef',\r\n\r\n // The natural logarithm of 10 (1025 digits).\r\n LN10 = '2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058',\r\n\r\n // Pi (1025 digits).\r\n PI = '3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789',\r\n\r\n\r\n // The initial configuration properties of the Decimal constructor.\r\n DEFAULTS = {\r\n\r\n // These values must be integers within the stated ranges (inclusive).\r\n // Most of these values can be changed at run-time using the `Decimal.config` method.\r\n\r\n // The maximum number of significant digits of the result of a calculation or base conversion.\r\n // E.g. `Decimal.config({ precision: 20 });`\r\n precision: 20, // 1 to MAX_DIGITS\r\n\r\n // The rounding mode used when rounding to `precision`.\r\n //\r\n // ROUND_UP 0 Away from zero.\r\n // ROUND_DOWN 1 Towards zero.\r\n // ROUND_CEIL 2 Towards +Infinity.\r\n // ROUND_FLOOR 3 Towards -Infinity.\r\n // ROUND_HALF_UP 4 Towards nearest neighbour. If equidistant, up.\r\n // ROUND_HALF_DOWN 5 Towards nearest neighbour. If equidistant, down.\r\n // ROUND_HALF_EVEN 6 Towards nearest neighbour. If equidistant, towards even neighbour.\r\n // ROUND_HALF_CEIL 7 Towards nearest neighbour. If equidistant, towards +Infinity.\r\n // ROUND_HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.\r\n //\r\n // E.g.\r\n // `Decimal.rounding = 4;`\r\n // `Decimal.rounding = Decimal.ROUND_HALF_UP;`\r\n rounding: 4, // 0 to 8\r\n\r\n // The modulo mode used when calculating the modulus: a mod n.\r\n // The quotient (q = a / n) is calculated according to the corresponding rounding mode.\r\n // The remainder (r) is calculated as: r = a - n * q.\r\n //\r\n // UP 0 The remainder is positive if the dividend is negative, else is negative.\r\n // DOWN 1 The remainder has the same sign as the dividend (JavaScript %).\r\n // FLOOR 3 The remainder has the same sign as the divisor (Python %).\r\n // HALF_EVEN 6 The IEEE 754 remainder function.\r\n // EUCLID 9 Euclidian division. q = sign(n) * floor(a / abs(n)). Always positive.\r\n //\r\n // Truncated division (1), floored division (3), the IEEE 754 remainder (6), and Euclidian\r\n // division (9) are commonly used for the modulus operation. The other rounding modes can also\r\n // be used, but they may not give useful results.\r\n modulo: 1, // 0 to 9\r\n\r\n // The exponent value at and beneath which `toString` returns exponential notation.\r\n // JavaScript numbers: -7\r\n toExpNeg: -7, // 0 to -EXP_LIMIT\r\n\r\n // The exponent value at and above which `toString` returns exponential notation.\r\n // JavaScript numbers: 21\r\n toExpPos: 21, // 0 to EXP_LIMIT\r\n\r\n // The minimum exponent value, beneath which underflow to zero occurs.\r\n // JavaScript numbers: -324 (5e-324)\r\n minE: -EXP_LIMIT, // -1 to -EXP_LIMIT\r\n\r\n // The maximum exponent value, above which overflow to Infinity occurs.\r\n // JavaScript numbers: 308 (1.7976931348623157e+308)\r\n maxE: EXP_LIMIT, // 1 to EXP_LIMIT\r\n\r\n // Whether to use cryptographically-secure random number generation, if available.\r\n crypto: false // true/false\r\n },\r\n\r\n\r\n// ----------------------------------- END OF EDITABLE DEFAULTS ------------------------------- //\r\n\r\n\r\n inexact, quadrant,\r\n external = true,\r\n\r\n decimalError = '[DecimalError] ',\r\n invalidArgument = decimalError + 'Invalid argument: ',\r\n precisionLimitExceeded = decimalError + 'Precision limit exceeded',\r\n cryptoUnavailable = decimalError + 'crypto unavailable',\r\n tag = '[object Decimal]',\r\n\r\n mathfloor = Math.floor,\r\n mathpow = Math.pow,\r\n\r\n isBinary = /^0b([01]+(\\.[01]*)?|\\.[01]+)(p[+-]?\\d+)?$/i,\r\n isHex = /^0x([0-9a-f]+(\\.[0-9a-f]*)?|\\.[0-9a-f]+)(p[+-]?\\d+)?$/i,\r\n isOctal = /^0o([0-7]+(\\.[0-7]*)?|\\.[0-7]+)(p[+-]?\\d+)?$/i,\r\n isDecimal = /^(\\d+(\\.\\d*)?|\\.\\d+)(e[+-]?\\d+)?$/i,\r\n\r\n BASE = 1e7,\r\n LOG_BASE = 7,\r\n MAX_SAFE_INTEGER = 9007199254740991,\r\n\r\n LN10_PRECISION = LN10.length - 1,\r\n PI_PRECISION = PI.length - 1,\r\n\r\n // Decimal.prototype object\r\n P = { toStringTag: tag };\r\n\r\n\r\n// Decimal prototype methods\r\n\r\n\r\n/*\r\n * absoluteValue abs\r\n * ceil\r\n * clampedTo clamp\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 */\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the absolute value of this Decimal.\r\n *\r\n */\r\nP.absoluteValue = P.abs = function () {\r\n var x = new this.constructor(this);\r\n if (x.s < 0) x.s = 1;\r\n return finalise(x);\r\n};\r\n\r\n\r\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 */\r\nP.ceil = function () {\r\n return finalise(new this.constructor(this), this.e + 1, 2);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal clamped to the range\r\n * delineated by `min` and `max`.\r\n *\r\n * min {number|string|Decimal}\r\n * max {number|string|Decimal}\r\n *\r\n */\r\nP.clampedTo = P.clamp = function (min, max) {\r\n var k,\r\n x = this,\r\n Ctor = x.constructor;\r\n min = new Ctor(min);\r\n max = new Ctor(max);\r\n if (!min.s || !max.s) return new Ctor(NaN);\r\n if (min.gt(max)) throw Error(invalidArgument + max);\r\n k = x.cmp(min);\r\n return k < 0 ? min : x.cmp(max) > 0 ? max : new Ctor(x);\r\n};\r\n\r\n\r\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 */\r\nP.comparedTo = P.cmp = function (y) {\r\n var i, j, xdL, ydL,\r\n x = this,\r\n xd = x.d,\r\n yd = (y = new x.constructor(y)).d,\r\n xs = x.s,\r\n ys = y.s;\r\n\r\n // Either NaN or ±Infinity?\r\n if (!xd || !yd) {\r\n return !xs || !ys ? NaN : xs !== ys ? xs : xd === yd ? 0 : !xd ^ xs < 0 ? 1 : -1;\r\n }\r\n\r\n // Either zero?\r\n if (!xd[0] || !yd[0]) return xd[0] ? xs : yd[0] ? -ys : 0;\r\n\r\n // Signs differ?\r\n if (xs !== ys) return xs;\r\n\r\n // Compare exponents.\r\n if (x.e !== y.e) return x.e > y.e ^ xs < 0 ? 1 : -1;\r\n\r\n xdL = xd.length;\r\n ydL = yd.length;\r\n\r\n // Compare digit by digit.\r\n for (i = 0, j = xdL < ydL ? xdL : ydL; i < j; ++i) {\r\n if (xd[i] !== yd[i]) return xd[i] > yd[i] ^ xs < 0 ? 1 : -1;\r\n }\r\n\r\n // Compare lengths.\r\n return xdL === ydL ? 0 : xdL > ydL ^ xs < 0 ? 1 : -1;\r\n};\r\n\r\n\r\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 */\r\nP.cosine = P.cos = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.d) return new Ctor(NaN);\r\n\r\n // cos(0) = cos(-0) = 1\r\n if (!x.d[0]) return new Ctor(1);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE;\r\n Ctor.rounding = 1;\r\n\r\n x = cosine(Ctor, toLessThanHalfPi(Ctor, x));\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return finalise(quadrant == 2 || quadrant == 3 ? x.neg() : x, pr, rm, true);\r\n};\r\n\r\n\r\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 */\r\nP.cubeRoot = P.cbrt = function () {\r\n var e, m, n, r, rep, s, sd, t, t3, t3plusx,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite() || x.isZero()) return new Ctor(x);\r\n external = false;\r\n\r\n // Initial estimate.\r\n s = x.s * mathpow(x.s * x, 1 / 3);\r\n\r\n // Math.cbrt underflow/overflow?\r\n // Pass x to Math.pow as integer, then adjust the exponent of the result.\r\n if (!s || Math.abs(s) == 1 / 0) {\r\n n = digitsToString(x.d);\r\n e = x.e;\r\n\r\n // Adjust n exponent so it is a multiple of 3 away from x exponent.\r\n if (s = (e - n.length + 1) % 3) n += (s == 1 || s == -2 ? '0' : '00');\r\n s = mathpow(n, 1 / 3);\r\n\r\n // Rarely, e may be one less than the result exponent value.\r\n e = mathfloor((e + 1) / 3) - (e % 3 == (e < 0 ? -1 : 2));\r\n\r\n if (s == 1 / 0) {\r\n n = '5e' + e;\r\n } else {\r\n n = s.toExponential();\r\n n = n.slice(0, n.indexOf('e') + 1) + e;\r\n }\r\n\r\n r = new Ctor(n);\r\n r.s = x.s;\r\n } else {\r\n r = new Ctor(s.toString());\r\n }\r\n\r\n sd = (e = Ctor.precision) + 3;\r\n\r\n // Halley's method.\r\n // TODO? Compare Newton's method.\r\n for (;;) {\r\n t = r;\r\n t3 = t.times(t).times(t);\r\n t3plusx = t3.plus(x);\r\n r = divide(t3plusx.plus(x).times(t), t3plusx.plus(t3), sd + 2, 1);\r\n\r\n // TODO? Replace with for-loop and checkRoundingDigits.\r\n if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) {\r\n n = n.slice(sd - 3, sd + 1);\r\n\r\n // The 4th rounding digit may be in error by -1 so if the 4 rounding digits are 9999 or 4999\r\n // , i.e. approaching a rounding boundary, continue the iteration.\r\n if (n == '9999' || !rep && n == '4999') {\r\n\r\n // On the first iteration only, check to see if rounding up gives the exact result as the\r\n // nines may infinitely repeat.\r\n if (!rep) {\r\n finalise(t, e + 1, 0);\r\n\r\n if (t.times(t).times(t).eq(x)) {\r\n r = t;\r\n break;\r\n }\r\n }\r\n\r\n sd += 4;\r\n rep = 1;\r\n } else {\r\n\r\n // If the rounding digits are null, 0{0,4} or 50{0,3}, check for an exact result.\r\n // If not, then there are further digits and m will be truthy.\r\n if (!+n || !+n.slice(1) && n.charAt(0) == '5') {\r\n\r\n // Truncate to the first rounding digit.\r\n finalise(r, e + 1, 1);\r\n m = !r.times(r).times(r).eq(x);\r\n }\r\n\r\n break;\r\n }\r\n }\r\n }\r\n\r\n external = true;\r\n\r\n return finalise(r, e, Ctor.rounding, m);\r\n};\r\n\r\n\r\n/*\r\n * Return the number of decimal places of the value of this Decimal.\r\n *\r\n */\r\nP.decimalPlaces = P.dp = function () {\r\n var w,\r\n d = this.d,\r\n n = NaN;\r\n\r\n if (d) {\r\n w = d.length - 1;\r\n n = (w - mathfloor(this.e / LOG_BASE)) * LOG_BASE;\r\n\r\n // Subtract the number of trailing zeros of the last word.\r\n w = d[w];\r\n if (w) for (; w % 10 == 0; w /= 10) n--;\r\n if (n < 0) n = 0;\r\n }\r\n\r\n return n;\r\n};\r\n\r\n\r\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 */\r\nP.dividedBy = P.div = function (y) {\r\n return divide(this, new this.constructor(y));\r\n};\r\n\r\n\r\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 */\r\nP.dividedToIntegerBy = P.divToInt = function (y) {\r\n var x = this,\r\n Ctor = x.constructor;\r\n return finalise(divide(x, new Ctor(y), 0, 1, 1), Ctor.precision, Ctor.rounding);\r\n};\r\n\r\n\r\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 */\r\nP.equals = P.eq = function (y) {\r\n return this.cmp(y) === 0;\r\n};\r\n\r\n\r\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 */\r\nP.floor = function () {\r\n return finalise(new this.constructor(this), this.e + 1, 3);\r\n};\r\n\r\n\r\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 */\r\nP.greaterThan = P.gt = function (y) {\r\n return this.cmp(y) > 0;\r\n};\r\n\r\n\r\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 */\r\nP.greaterThanOrEqualTo = P.gte = function (y) {\r\n var k = this.cmp(y);\r\n return k == 1 || k === 0;\r\n};\r\n\r\n\r\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 */\r\nP.hyperbolicCosine = P.cosh = function () {\r\n var k, n, pr, rm, len,\r\n x = this,\r\n Ctor = x.constructor,\r\n one = new Ctor(1);\r\n\r\n if (!x.isFinite()) return new Ctor(x.s ? 1 / 0 : NaN);\r\n if (x.isZero()) return one;\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + Math.max(x.e, x.sd()) + 4;\r\n Ctor.rounding = 1;\r\n len = x.d.length;\r\n\r\n // Argument reduction: cos(4x) = 1 - 8cos^2(x) + 8cos^4(x) + 1\r\n // i.e. cos(x) = 1 - cos^2(x/4)(8 - 8cos^2(x/4))\r\n\r\n // Estimate the optimum number of times to use the argument reduction.\r\n // TODO? Estimation reused from cosine() and may not be optimal here.\r\n if (len < 32) {\r\n k = Math.ceil(len / 3);\r\n n = (1 / tinyPow(4, k)).toString();\r\n } else {\r\n k = 16;\r\n n = '2.3283064365386962890625e-10';\r\n }\r\n\r\n x = taylorSeries(Ctor, 1, x.times(n), new Ctor(1), true);\r\n\r\n // Reverse argument reduction\r\n var cosh2_x,\r\n i = k,\r\n d8 = new Ctor(8);\r\n for (; i--;) {\r\n cosh2_x = x.times(x);\r\n x = one.minus(cosh2_x.times(d8.minus(cosh2_x.times(d8))));\r\n }\r\n\r\n return finalise(x, Ctor.precision = pr, Ctor.rounding = rm, true);\r\n};\r\n\r\n\r\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 */\r\nP.hyperbolicSine = P.sinh = function () {\r\n var k, pr, rm, len,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite() || x.isZero()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + Math.max(x.e, x.sd()) + 4;\r\n Ctor.rounding = 1;\r\n len = x.d.length;\r\n\r\n if (len < 3) {\r\n x = taylorSeries(Ctor, 2, x, x, true);\r\n } else {\r\n\r\n // Alternative argument reduction: sinh(3x) = sinh(x)(3 + 4sinh^2(x))\r\n // i.e. sinh(x) = sinh(x/3)(3 + 4sinh^2(x/3))\r\n // 3 multiplications and 1 addition\r\n\r\n // Argument reduction: sinh(5x) = sinh(x)(5 + sinh^2(x)(20 + 16sinh^2(x)))\r\n // i.e. sinh(x) = sinh(x/5)(5 + sinh^2(x/5)(20 + 16sinh^2(x/5)))\r\n // 4 multiplications and 2 additions\r\n\r\n // Estimate the optimum number of times to use the argument reduction.\r\n k = 1.4 * Math.sqrt(len);\r\n k = k > 16 ? 16 : k | 0;\r\n\r\n x = x.times(1 / tinyPow(5, k));\r\n x = taylorSeries(Ctor, 2, x, x, true);\r\n\r\n // Reverse argument reduction\r\n var sinh2_x,\r\n d5 = new Ctor(5),\r\n d16 = new Ctor(16),\r\n d20 = new Ctor(20);\r\n for (; k--;) {\r\n sinh2_x = x.times(x);\r\n x = x.times(d5.plus(sinh2_x.times(d16.times(sinh2_x).plus(d20))));\r\n }\r\n }\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return finalise(x, pr, rm, true);\r\n};\r\n\r\n\r\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 */\r\nP.hyperbolicTangent = P.tanh = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite()) return new Ctor(x.s);\r\n if (x.isZero()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + 7;\r\n Ctor.rounding = 1;\r\n\r\n return divide(x.sinh(), x.cosh(), Ctor.precision = pr, Ctor.rounding = rm);\r\n};\r\n\r\n\r\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 */\r\nP.inverseCosine = P.acos = function () {\r\n var halfPi,\r\n x = this,\r\n Ctor = x.constructor,\r\n k = x.abs().cmp(1),\r\n pr = Ctor.precision,\r\n rm = Ctor.rounding;\r\n\r\n if (k !== -1) {\r\n return k === 0\r\n // |x| is 1\r\n ? x.isNeg() ? getPi(Ctor, pr, rm) : new Ctor(0)\r\n // |x| > 1 or x is NaN\r\n : new Ctor(NaN);\r\n }\r\n\r\n if (x.isZero()) return getPi(Ctor, pr + 4, rm).times(0.5);\r\n\r\n // TODO? Special case acos(0.5) = pi/3 and acos(-0.5) = 2*pi/3\r\n\r\n Ctor.precision = pr + 6;\r\n Ctor.rounding = 1;\r\n\r\n x = x.asin();\r\n halfPi = getPi(Ctor, pr + 4, rm).times(0.5);\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return halfPi.minus(x);\r\n};\r\n\r\n\r\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 */\r\nP.inverseHyperbolicCosine = P.acosh = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (x.lte(1)) return new Ctor(x.eq(1) ? 0 : NaN);\r\n if (!x.isFinite()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + Math.max(Math.abs(x.e), x.sd()) + 4;\r\n Ctor.rounding = 1;\r\n external = false;\r\n\r\n x = x.times(x).minus(1).sqrt().plus(x);\r\n\r\n external = true;\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return x.ln();\r\n};\r\n\r\n\r\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 */\r\nP.inverseHyperbolicSine = P.asinh = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite() || x.isZero()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + 2 * Math.max(Math.abs(x.e), x.sd()) + 6;\r\n Ctor.rounding = 1;\r\n external = false;\r\n\r\n x = x.times(x).plus(1).sqrt().plus(x);\r\n\r\n external = true;\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return x.ln();\r\n};\r\n\r\n\r\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 */\r\nP.inverseHyperbolicTangent = P.atanh = function () {\r\n var pr, rm, wpr, xsd,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite()) return new Ctor(NaN);\r\n if (x.e >= 0) return new Ctor(x.abs().eq(1) ? x.s / 0 : x.isZero() ? x : NaN);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n xsd = x.sd();\r\n\r\n if (Math.max(xsd, pr) < 2 * -x.e - 1) return finalise(new Ctor(x), pr, rm, true);\r\n\r\n Ctor.precision = wpr = xsd - x.e;\r\n\r\n x = divide(x.plus(1), new Ctor(1).minus(x), wpr + pr, 1);\r\n\r\n Ctor.precision = pr + 4;\r\n Ctor.rounding = 1;\r\n\r\n x = x.ln();\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return x.times(0.5);\r\n};\r\n\r\n\r\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 */\r\nP.inverseSine = P.asin = function () {\r\n var halfPi, k,\r\n pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (x.isZero()) return new Ctor(x);\r\n\r\n k = x.abs().cmp(1);\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n\r\n if (k !== -1) {\r\n\r\n // |x| is 1\r\n if (k === 0) {\r\n halfPi = getPi(Ctor, pr + 4, rm).times(0.5);\r\n halfPi.s = x.s;\r\n return halfPi;\r\n }\r\n\r\n // |x| > 1 or x is NaN\r\n return new Ctor(NaN);\r\n }\r\n\r\n // TODO? Special case asin(1/2) = pi/6 and asin(-1/2) = -pi/6\r\n\r\n Ctor.precision = pr + 6;\r\n Ctor.rounding = 1;\r\n\r\n x = x.div(new Ctor(1).minus(x.times(x)).sqrt().plus(1)).atan();\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return x.times(2);\r\n};\r\n\r\n\r\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 */\r\nP.inverseTangent = P.atan = function () {\r\n var i, j, k, n, px, t, r, wpr, x2,\r\n x = this,\r\n Ctor = x.constructor,\r\n pr = Ctor.precision,\r\n rm = Ctor.rounding;\r\n\r\n if (!x.isFinite()) {\r\n if (!x.s) return new Ctor(NaN);\r\n if (pr + 4 <= PI_PRECISION) {\r\n r = getPi(Ctor, pr + 4, rm).times(0.5);\r\n r.s = x.s;\r\n return r;\r\n }\r\n } else if (x.isZero()) {\r\n return new Ctor(x);\r\n } else if (x.abs().eq(1) && pr + 4 <= PI_PRECISION) {\r\n r = getPi(Ctor, pr + 4, rm).times(0.25);\r\n r.s = x.s;\r\n return r;\r\n }\r\n\r\n Ctor.precision = wpr = pr + 10;\r\n Ctor.rounding = 1;\r\n\r\n // TODO? if (x >= 1 && pr <= PI_PRECISION) atan(x) = halfPi * x.s - atan(1 / x);\r\n\r\n // Argument reduction\r\n // Ensure |x| < 0.42\r\n // atan(x) = 2 * atan(x / (1 + sqrt(1 + x^2)))\r\n\r\n k = Math.min(28, wpr / LOG_BASE + 2 | 0);\r\n\r\n for (i = k; i; --i) x = x.div(x.times(x).plus(1).sqrt().plus(1));\r\n\r\n external = false;\r\n\r\n j = Math.ceil(wpr / LOG_BASE);\r\n n = 1;\r\n x2 = x.times(x);\r\n r = new Ctor(x);\r\n px = x;\r\n\r\n // atan(x) = x - x^3/3 + x^5/5 - x^7/7 + ...\r\n for (; i !== -1;) {\r\n px = px.times(x2);\r\n t = r.minus(px.div(n += 2));\r\n\r\n px = px.times(x2);\r\n r = t.plus(px.div(n += 2));\r\n\r\n if (r.d[j] !== void 0) for (i = j; r.d[i] === t.d[i] && i--;);\r\n }\r\n\r\n if (k) r = r.times(2 << (k - 1));\r\n\r\n external = true;\r\n\r\n return finalise(r, Ctor.precision = pr, Ctor.rounding = rm, true);\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is a finite number, otherwise return false.\r\n *\r\n */\r\nP.isFinite = function () {\r\n return !!this.d;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is an integer, otherwise return false.\r\n *\r\n */\r\nP.isInteger = P.isInt = function () {\r\n return !!this.d && mathfloor(this.e / LOG_BASE) > this.d.length - 2;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is NaN, otherwise return false.\r\n *\r\n */\r\nP.isNaN = function () {\r\n return !this.s;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is negative, otherwise return false.\r\n *\r\n */\r\nP.isNegative = P.isNeg = function () {\r\n return this.s < 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is positive, otherwise return false.\r\n *\r\n */\r\nP.isPositive = P.isPos = function () {\r\n return this.s > 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is 0 or -0, otherwise return false.\r\n *\r\n */\r\nP.isZero = function () {\r\n return !!this.d && this.d[0] === 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is less than `y`, otherwise return false.\r\n *\r\n */\r\nP.lessThan = P.lt = function (y) {\r\n return this.cmp(y) < 0;\r\n};\r\n\r\n\r\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 */\r\nP.lessThanOrEqualTo = P.lte = function (y) {\r\n return this.cmp(y) < 1;\r\n};\r\n\r\n\r\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 */\r\nP.logarithm = P.log = function (base) {\r\n var isBase10, d, denominator, k, inf, num, sd, r,\r\n arg = this,\r\n Ctor = arg.constructor,\r\n pr = Ctor.precision,\r\n rm = Ctor.rounding,\r\n guard = 5;\r\n\r\n // Default base is 10.\r\n if (base == null) {\r\n base = new Ctor(10);\r\n isBase10 = true;\r\n } else {\r\n base = new Ctor(base);\r\n d = base.d;\r\n\r\n // Return NaN if base is negative, or non-finite, or is 0 or 1.\r\n if (base.s < 0 || !d || !d[0] || base.eq(1)) return new Ctor(NaN);\r\n\r\n isBase10 = base.eq(10);\r\n }\r\n\r\n d = arg.d;\r\n\r\n // Is arg negative, non-finite, 0 or 1?\r\n if (arg.s < 0 || !d || !d[0] || arg.eq(1)) {\r\n return new Ctor(d && !d[0] ? -1 / 0 : arg.s != 1 ? NaN : d ? 0 : 1 / 0);\r\n }\r\n\r\n // The result will have a non-terminating decimal expansion if base is 10 and arg is not an\r\n // integer power of 10.\r\n if (isBase10) {\r\n if (d.length > 1) {\r\n inf = true;\r\n } else {\r\n for (k = d[0]; k % 10 === 0;) k /= 10;\r\n inf = k !== 1;\r\n }\r\n }\r\n\r\n external = false;\r\n sd = pr + guard;\r\n num = naturalLogarithm(arg, sd);\r\n denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd);\r\n\r\n // The result will have 5 rounding digits.\r\n r = divide(num, denominator, sd, 1);\r\n\r\n // If at a rounding boundary, i.e. the result's rounding digits are [49]9999 or [50]0000,\r\n // calculate 10 further digits.\r\n //\r\n // If the result is known to have an infinite decimal expansion, repeat this until it is clear\r\n // that the result is above or below the boundary. Otherwise, if after calculating the 10\r\n // further digits, the last 14 are nines, round up and assume the result is exact.\r\n // Also assume the result is exact if the last 14 are zero.\r\n //\r\n // Example of a result that will be incorrectly rounded:\r\n // log[1048576](4503599627370502) = 2.60000000000000009610279511444746...\r\n // The above result correctly rounded using ROUND_CEIL to 1 decimal place should be 2.7, but it\r\n // will be given as 2.6 as there are 15 zeros immediately after the requested decimal place, so\r\n // the exact result would be assumed to be 2.6, which rounded using ROUND_CEIL to 1 decimal\r\n // place is still 2.6.\r\n if (checkRoundingDigits(r.d, k = pr, rm)) {\r\n\r\n do {\r\n sd += 10;\r\n num = naturalLogarithm(arg, sd);\r\n denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd);\r\n r = divide(num, denominator, sd, 1);\r\n\r\n if (!inf) {\r\n\r\n // Check for 14 nines from the 2nd rounding digit, as the first may be 4.\r\n if (+digitsToString(r.d).slice(k + 1, k + 15) + 1 == 1e14) {\r\n r = finalise(r, pr + 1, 0);\r\n }\r\n\r\n break;\r\n }\r\n } while (checkRoundingDigits(r.d, k += 10, rm));\r\n }\r\n\r\n external = true;\r\n\r\n return finalise(r, pr, rm);\r\n};\r\n\r\n\r\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\nP.max = function () {\r\n Array.prototype.push.call(arguments, this);\r\n return maxOrMin(this.constructor, arguments, 'lt');\r\n};\r\n */\r\n\r\n\r\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\nP.min = function () {\r\n Array.prototype.push.call(arguments, this);\r\n return maxOrMin(this.constructor, arguments, 'gt');\r\n};\r\n */\r\n\r\n\r\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 */\r\nP.minus = P.sub = function (y) {\r\n var d, e, i, j, k, len, pr, rm, xd, xe, xLTy, yd,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n y = new Ctor(y);\r\n\r\n // If either is not finite...\r\n if (!x.d || !y.d) {\r\n\r\n // Return NaN if either is NaN.\r\n if (!x.s || !y.s) y = new Ctor(NaN);\r\n\r\n // Return y negated if x is finite and y is ±Infinity.\r\n else if (x.d) y.s = -y.s;\r\n\r\n // Return x if y is finite and x is ±Infinity.\r\n // Return x if both are ±Infinity with different signs.\r\n // Return NaN if both are ±Infinity with the same sign.\r\n else y = new Ctor(y.d || x.s !== y.s ? x : NaN);\r\n\r\n return y;\r\n }\r\n\r\n // If signs differ...\r\n if (x.s != y.s) {\r\n y.s = -y.s;\r\n return x.plus(y);\r\n }\r\n\r\n xd = x.d;\r\n yd = y.d;\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n\r\n // If either is zero...\r\n if (!xd[0] || !yd[0]) {\r\n\r\n // Return y negated if x is zero and y is non-zero.\r\n if (yd[0]) y.s = -y.s;\r\n\r\n // Return x if y is zero and x is non-zero.\r\n else if (xd[0]) y = new Ctor(x);\r\n\r\n // Return zero if both are zero.\r\n // From IEEE 754 (2008) 6.3: 0 - 0 = -0 - -0 = -0 when rounding to -Infinity.\r\n else return new Ctor(rm === 3 ? -0 : 0);\r\n\r\n return external ? finalise(y, pr, rm) : y;\r\n }\r\n\r\n // x and y are finite, non-zero numbers with the same sign.\r\n\r\n // Calculate base 1e7 exponents.\r\n e = mathfloor(y.e / LOG_BASE);\r\n xe = mathfloor(x.e / LOG_BASE);\r\n\r\n xd = xd.slice();\r\n k = xe - e;\r\n\r\n // If base 1e7 exponents differ...\r\n if (k) {\r\n xLTy = k < 0;\r\n\r\n if (xLTy) {\r\n d = xd;\r\n k = -k;\r\n len = yd.length;\r\n } else {\r\n d = yd;\r\n e = xe;\r\n len = xd.length;\r\n }\r\n\r\n // Numbers with massively different exponents would result in a very high number of\r\n // zeros needing to be prepended, but this can be avoided while still ensuring correct\r\n // rounding by limiting the number of zeros to `Math.ceil(pr / LOG_BASE) + 2`.\r\n i = Math.max(Math.ceil(pr / LOG_BASE), len) + 2;\r\n\r\n if (k > i) {\r\n k = i;\r\n d.length = 1;\r\n }\r\n\r\n // Prepend zeros to equalise exponents.\r\n d.reverse();\r\n for (i = k; i--;) d.push(0);\r\n d.reverse();\r\n\r\n // Base 1e7 exponents equal.\r\n } else {\r\n\r\n // Check digits to determine which is the bigger number.\r\n\r\n i = xd.length;\r\n len = yd.length;\r\n xLTy = i < len;\r\n if (xLTy) len = i;\r\n\r\n for (i = 0; i < len; i++) {\r\n if (xd[i] != yd[i]) {\r\n xLTy = xd[i] < yd[i];\r\n break;\r\n }\r\n }\r\n\r\n k = 0;\r\n }\r\n\r\n if (xLTy) {\r\n d = xd;\r\n xd = yd;\r\n yd = d;\r\n y.s = -y.s;\r\n }\r\n\r\n len = xd.length;\r\n\r\n // Append zeros to `xd` if shorter.\r\n // Don't add zeros to `yd` if shorter as subtraction only needs to start at `yd` length.\r\n for (i = yd.length - len; i > 0; --i) xd[len++] = 0;\r\n\r\n // Subtract yd from xd.\r\n for (i = yd.length; i > k;) {\r\n\r\n if (xd[--i] < yd[i]) {\r\n for (j = i; j && xd[--j] === 0;) xd[j] = BASE - 1;\r\n --xd[j];\r\n xd[i] += BASE;\r\n }\r\n\r\n xd[i] -= yd[i];\r\n }\r\n\r\n // Remove trailing zeros.\r\n for (; xd[--len] === 0;) xd.pop();\r\n\r\n // Remove leading zeros and adjust exponent accordingly.\r\n for (; xd[0] === 0; xd.shift()) --e;\r\n\r\n // Zero?\r\n if (!xd[0]) return new Ctor(rm === 3 ? -0 : 0);\r\n\r\n y.d = xd;\r\n y.e = getBase10Exponent(xd, e);\r\n\r\n return external ? finalise(y, pr, rm) : y;\r\n};\r\n\r\n\r\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 */\r\nP.modulo = P.mod = function (y) {\r\n var q,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n y = new Ctor(y);\r\n\r\n // Return NaN if x is ±Infinity or NaN, or y is NaN or ±0.\r\n if (!x.d || !y.s || y.d && !y.d[0]) return new Ctor(NaN);\r\n\r\n // Return x if y is ±Infinity or x is ±0.\r\n if (!y.d || x.d && !x.d[0]) {\r\n return finalise(new Ctor(x), Ctor.precision, Ctor.rounding);\r\n }\r\n\r\n // Prevent rounding of intermediate calculations.\r\n external = false;\r\n\r\n if (Ctor.modulo == 9) {\r\n\r\n // Euclidian division: q = sign(y) * floor(x / abs(y))\r\n // result = x - q * y where 0 <= result < abs(y)\r\n q = divide(x, y.abs(), 0, 3, 1);\r\n q.s *= y.s;\r\n } else {\r\n q = divide(x, y, 0, Ctor.modulo, 1);\r\n }\r\n\r\n q = q.times(y);\r\n\r\n external = true;\r\n\r\n return x.minus(q);\r\n};\r\n\r\n\r\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 */\r\nP.naturalExponential = P.exp = function () {\r\n return naturalExponential(this);\r\n};\r\n\r\n\r\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 */\r\nP.naturalLogarithm = P.ln = function () {\r\n return naturalLogarithm(this);\r\n};\r\n\r\n\r\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 */\r\nP.negated = P.neg = function () {\r\n var x = new this.constructor(this);\r\n x.s = -x.s;\r\n return finalise(x);\r\n};\r\n\r\n\r\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 */\r\nP.plus = P.add = function (y) {\r\n var carry, d, e, i, k, len, pr, rm, xd, yd,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n y = new Ctor(y);\r\n\r\n // If either is not finite...\r\n if (!x.d || !y.d) {\r\n\r\n // Return NaN if either is NaN.\r\n if (!x.s || !y.s) y = new Ctor(NaN);\r\n\r\n // Return x if y is finite and x is ±Infinity.\r\n // Return x if both are ±Infinity with the same sign.\r\n // Return NaN if both are ±Infinity with different signs.\r\n // Return y if x is finite and y is ±Infinity.\r\n else if (!x.d) y = new Ctor(y.d || x.s === y.s ? x : NaN);\r\n\r\n return y;\r\n }\r\n\r\n // If signs differ...\r\n if (x.s != y.s) {\r\n y.s = -y.s;\r\n return x.minus(y);\r\n }\r\n\r\n xd = x.d;\r\n yd = y.d;\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n\r\n // If either is zero...\r\n if (!xd[0] || !yd[0]) {\r\n\r\n // Return x if y is zero.\r\n // Return y if y is non-zero.\r\n if (!yd[0]) y = new Ctor(x);\r\n\r\n return external ? finalise(y, pr, rm) : y;\r\n }\r\n\r\n // x and y are finite, non-zero numbers with the same sign.\r\n\r\n // Calculate base 1e7 exponents.\r\n k = mathfloor(x.e / LOG_BASE);\r\n e = mathfloor(y.e / LOG_BASE);\r\n\r\n xd = xd.slice();\r\n i = k - e;\r\n\r\n // If base 1e7 exponents differ...\r\n if (i) {\r\n\r\n if (i < 0) {\r\n d = xd;\r\n i = -i;\r\n len = yd.length;\r\n } else {\r\n d = yd;\r\n e = k;\r\n len = xd.length;\r\n }\r\n\r\n // Limit number of zeros prepended to max(ceil(pr / LOG_BASE), len) + 1.\r\n k = Math.ceil(pr / LOG_BASE);\r\n len = k > len ? k + 1 : len + 1;\r\n\r\n if (i > len) {\r\n i = len;\r\n d.length = 1;\r\n }\r\n\r\n // Prepend zeros to equalise exponents. Note: Faster to use reverse then do unshifts.\r\n d.reverse();\r\n for (; i--;) d.push(0);\r\n d.reverse();\r\n }\r\n\r\n len = xd.length;\r\n i = yd.length;\r\n\r\n // If yd is longer than xd, swap xd and yd so xd points to the longer array.\r\n if (len - i < 0) {\r\n i = len;\r\n d = yd;\r\n yd = xd;\r\n xd = d;\r\n }\r\n\r\n // Only start adding at yd.length - 1 as the further digits of xd can be left as they are.\r\n for (carry = 0; i;) {\r\n carry = (xd[--i] = xd[i] + yd[i] + carry) / BASE | 0;\r\n xd[i] %= BASE;\r\n }\r\n\r\n if (carry) {\r\n xd.unshift(carry);\r\n ++e;\r\n }\r\n\r\n // Remove trailing zeros.\r\n // No need to check for zero, as +x + +y != 0 && -x + -y != 0\r\n for (len = xd.length; xd[--len] == 0;) xd.pop();\r\n\r\n y.d = xd;\r\n y.e = getBase10Exponent(xd, e);\r\n\r\n return external ? finalise(y, pr, rm) : y;\r\n};\r\n\r\n\r\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 */\r\nP.precision = P.sd = function (z) {\r\n var k,\r\n x = this;\r\n\r\n if (z !== void 0 && z !== !!z && z !== 1 && z !== 0) throw Error(invalidArgument + z);\r\n\r\n if (x.d) {\r\n k = getPrecision(x.d);\r\n if (z && x.e + 1 > k) k = x.e + 1;\r\n } else {\r\n k = NaN;\r\n }\r\n\r\n return k;\r\n};\r\n\r\n\r\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 */\r\nP.round = function () {\r\n var x = this,\r\n Ctor = x.constructor;\r\n\r\n return finalise(new Ctor(x), x.e + 1, Ctor.rounding);\r\n};\r\n\r\n\r\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 */\r\nP.sine = P.sin = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite()) return new Ctor(NaN);\r\n if (x.isZero()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE;\r\n Ctor.rounding = 1;\r\n\r\n x = sine(Ctor, toLessThanHalfPi(Ctor, x));\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return finalise(quadrant > 2 ? x.neg() : x, pr, rm, true);\r\n};\r\n\r\n\r\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 */\r\nP.squareRoot = P.sqrt = function () {\r\n var m, n, sd, r, rep, t,\r\n x = this,\r\n d = x.d,\r\n e = x.e,\r\n s = x.s,\r\n Ctor = x.constructor;\r\n\r\n // Negative/NaN/Infinity/zero?\r\n if (s !== 1 || !d || !d[0]) {\r\n return new Ctor(!s || s < 0 && (!d || d[0]) ? NaN : d ? x : 1 / 0);\r\n }\r\n\r\n external = false;\r\n\r\n // Initial estimate.\r\n s = Math.sqrt(+x);\r\n\r\n // Math.sqrt underflow/overflow?\r\n // Pass x to Math.sqrt as integer, then adjust the exponent of the result.\r\n if (s == 0 || s == 1 / 0) {\r\n n = digitsToString(d);\r\n\r\n if ((n.length + e) % 2 == 0) n += '0';\r\n s = Math.sqrt(n);\r\n e = mathfloor((e + 1) / 2) - (e < 0 || e % 2);\r\n\r\n if (s == 1 / 0) {\r\n n = '5e' + e;\r\n } else {\r\n n = s.toExponential();\r\n n = n.slice(0, n.indexOf('e') + 1) + e;\r\n }\r\n\r\n r = new Ctor(n);\r\n } else {\r\n r = new Ctor(s.toString());\r\n }\r\n\r\n sd = (e = Ctor.precision) + 3;\r\n\r\n // Newton-Raphson iteration.\r\n for (;;) {\r\n t = r;\r\n r = t.plus(divide(x, t, sd + 2, 1)).times(0.5);\r\n\r\n // TODO? Replace with for-loop and checkRoundingDigits.\r\n if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) {\r\n n = n.slice(sd - 3, sd + 1);\r\n\r\n // The 4th rounding digit may be in error by -1 so if the 4 rounding digits are 9999 or\r\n // 4999, i.e. approaching a rounding boundary, continue the iteration.\r\n if (n == '9999' || !rep && n == '4999') {\r\n\r\n // On the first iteration only, check to see if rounding up gives the exact result as the\r\n // nines may infinitely repeat.\r\n if (!rep) {\r\n finalise(t, e + 1, 0);\r\n\r\n if (t.times(t).eq(x)) {\r\n r = t;\r\n break;\r\n }\r\n }\r\n\r\n sd += 4;\r\n rep = 1;\r\n } else {\r\n\r\n // If the rounding digits are null, 0{0,4} or 50{0,3}, check for an exact result.\r\n // If not, then there are further digits and m will be truthy.\r\n if (!+n || !+n.slice(1) && n.charAt(0) == '5') {\r\n\r\n // Truncate to the first rounding digit.\r\n finalise(r, e + 1, 1);\r\n m = !r.times(r).eq(x);\r\n }\r\n\r\n break;\r\n }\r\n }\r\n }\r\n\r\n external = true;\r\n\r\n return finalise(r, e, Ctor.rounding, m);\r\n};\r\n\r\n\r\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 */\r\nP.tangent = P.tan = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite()) return new Ctor(NaN);\r\n if (x.isZero()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + 10;\r\n Ctor.rounding = 1;\r\n\r\n x = x.sin();\r\n x.s = 1;\r\n x = divide(x, new Ctor(1).minus(x.times(x)).sqrt(), pr + 10, 0);\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return finalise(quadrant == 2 || quadrant == 4 ? x.neg() : x, pr, rm, true);\r\n};\r\n\r\n\r\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 */\r\nP.times = P.mul = function (y) {\r\n var carry, e, i, k, r, rL, t, xdL, ydL,\r\n x = this,\r\n Ctor = x.constructor,\r\n xd = x.d,\r\n yd = (y = new Ctor(y)).d;\r\n\r\n y.s *= x.s;\r\n\r\n // If either is NaN, ±Infinity or ±0...\r\n if (!xd || !xd[0] || !yd || !yd[0]) {\r\n\r\n return new Ctor(!y.s || xd && !xd[0] && !yd || yd && !yd[0] && !xd\r\n\r\n // Return NaN if either is NaN.\r\n // Return NaN if x is ±0 and y is ±Infinity, or y is ±0 and x is ±Infinity.\r\n ? NaN\r\n\r\n // Return ±Infinity if either is ±Infinity.\r\n // Return ±0 if either is ±0.\r\n : !xd || !yd ? y.s / 0 : y.s * 0);\r\n }\r\n\r\n e = mathfloor(x.e / LOG_BASE) + mathfloor(y.e / LOG_BASE);\r\n xdL = xd.length;\r\n ydL = yd.length;\r\n\r\n // Ensure xd points to the longer array.\r\n if (xdL < ydL) {\r\n r = xd;\r\n xd = yd;\r\n yd = r;\r\n rL = xdL;\r\n xdL = ydL;\r\n ydL = rL;\r\n }\r\n\r\n // Initialise the result array with zeros.\r\n r = [];\r\n rL = xdL + ydL;\r\n for (i = rL; i--;) r.push(0);\r\n\r\n // Multiply!\r\n for (i = ydL; --i >= 0;) {\r\n carry = 0;\r\n for (k = xdL + i; k > i;) {\r\n t = r[k] + yd[i] * xd[k - i - 1] + carry;\r\n r[k--] = t % BASE | 0;\r\n carry = t / BASE | 0;\r\n }\r\n\r\n r[k] = (r[k] + carry) % BASE | 0;\r\n }\r\n\r\n // Remove trailing zeros.\r\n for (; !r[--rL];) r.pop();\r\n\r\n if (carry) ++e;\r\n else r.shift();\r\n\r\n y.d = r;\r\n y.e = getBase10Exponent(r, e);\r\n\r\n return external ? finalise(y, Ctor.precision, Ctor.rounding) : y;\r\n};\r\n\r\n\r\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 */\r\nP.toBinary = function (sd, rm) {\r\n return toStringBinary(this, 2, sd, rm);\r\n};\r\n\r\n\r\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 */\r\nP.toDecimalPlaces = P.toDP = function (dp, rm) {\r\n var x = this,\r\n Ctor = x.constructor;\r\n\r\n x = new Ctor(x);\r\n if (dp === void 0) return x;\r\n\r\n checkInt32(dp, 0, MAX_DIGITS);\r\n\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n\r\n return finalise(x, dp + x.e + 1, rm);\r\n};\r\n\r\n\r\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 */\r\nP.toExponential = function (dp, rm) {\r\n var str,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (dp === void 0) {\r\n str = finiteToString(x, true);\r\n } else {\r\n checkInt32(dp, 0, MAX_DIGITS);\r\n\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n\r\n x = finalise(new Ctor(x), dp + 1, rm);\r\n str = finiteToString(x, true, dp + 1);\r\n }\r\n\r\n return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\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 */\r\nP.toFixed = function (dp, rm) {\r\n var str, y,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (dp === void 0) {\r\n str = finiteToString(x);\r\n } else {\r\n checkInt32(dp, 0, MAX_DIGITS);\r\n\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n\r\n y = finalise(new Ctor(x), dp + x.e + 1, rm);\r\n str = finiteToString(y, false, dp + y.e + 1);\r\n }\r\n\r\n // To determine whether to add the minus sign look at the value before it was rounded,\r\n // i.e. look at `x` rather than `y`.\r\n return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\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 */\r\nP.toFraction = function (maxD) {\r\n var d, d0, d1, d2, e, k, n, n0, n1, pr, q, r,\r\n x = this,\r\n xd = x.d,\r\n Ctor = x.constructor;\r\n\r\n if (!xd) return new Ctor(x);\r\n\r\n n1 = d0 = new Ctor(1);\r\n d1 = n0 = new Ctor(0);\r\n\r\n d = new Ctor(d1);\r\n e = d.e = getPrecision(xd) - x.e - 1;\r\n k = e % LOG_BASE;\r\n d.d[0] = mathpow(10, k < 0 ? LOG_BASE + k : k);\r\n\r\n if (maxD == null) {\r\n\r\n // d is 10**e, the minimum max-denominator needed.\r\n maxD = e > 0 ? d : n1;\r\n } else {\r\n n = new Ctor(maxD);\r\n if (!n.isInt() || n.lt(n1)) throw Error(invalidArgument + n);\r\n maxD = n.gt(d) ? (e > 0 ? d : n1) : n;\r\n }\r\n\r\n external = false;\r\n n = new Ctor(digitsToString(xd));\r\n pr = Ctor.precision;\r\n Ctor.precision = e = xd.length * LOG_BASE * 2;\r\n\r\n for (;;) {\r\n q = divide(n, d, 0, 1, 1);\r\n d2 = d0.plus(q.times(d1));\r\n if (d2.cmp(maxD) == 1) break;\r\n d0 = d1;\r\n d1 = d2;\r\n d2 = n1;\r\n n1 = n0.plus(q.times(d2));\r\n n0 = d2;\r\n d2 = d;\r\n d = n.minus(q.times(d2));\r\n n = d2;\r\n }\r\n\r\n d2 = divide(maxD.minus(d0), d1, 0, 1, 1);\r\n n0 = n0.plus(d2.times(n1));\r\n d0 = d0.plus(d2.times(d1));\r\n n0.s = n1.s = x.s;\r\n\r\n // Determine which fraction is closer to x, n0/d0 or n1/d1?\r\n r = divide(n1, d1, e, 1).minus(x).abs().cmp(divide(n0, d0, e, 1).minus(x).abs()) < 1\r\n ? [n1, d1] : [n0, d0];\r\n\r\n Ctor.precision = pr;\r\n external = true;\r\n\r\n return r;\r\n};\r\n\r\n\r\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 */\r\nP.toHexadecimal = P.toHex = function (sd, rm) {\r\n return toStringBinary(this, 16, sd, rm);\r\n};\r\n\r\n\r\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 */\r\nP.toNearest = function (y, rm) {\r\n var x = this,\r\n Ctor = x.constructor;\r\n\r\n x = new Ctor(x);\r\n\r\n if (y == null) {\r\n\r\n // If x is not finite, return x.\r\n if (!x.d) return x;\r\n\r\n y = new Ctor(1);\r\n rm = Ctor.rounding;\r\n } else {\r\n y = new Ctor(y);\r\n if (rm === void 0) {\r\n rm = Ctor.rounding;\r\n } else {\r\n checkInt32(rm, 0, 8);\r\n }\r\n\r\n // If x is not finite, return x if y is not NaN, else NaN.\r\n if (!x.d) return y.s ? x : y;\r\n\r\n // If y is not finite, return Infinity with the sign of x if y is Infinity, else NaN.\r\n if (!y.d) {\r\n if (y.s) y.s = x.s;\r\n return y;\r\n }\r\n }\r\n\r\n // If y is not zero, calculate the nearest multiple of y to x.\r\n if (y.d[0]) {\r\n external = false;\r\n x = divide(x, y, 0, rm, 1).times(y);\r\n external = true;\r\n finalise(x);\r\n\r\n // If y is zero, return zero with the sign of x.\r\n } else {\r\n y.s = x.s;\r\n x = y;\r\n }\r\n\r\n return x;\r\n};\r\n\r\n\r\n/*\r\n * Return the value of this Decimal converted to a number primitive.\r\n * Zero keeps its sign.\r\n *\r\n */\r\nP.toNumber = function () {\r\n return +this;\r\n};\r\n\r\n\r\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 */\r\nP.toOctal = function (sd, rm) {\r\n return toStringBinary(this, 8, sd, rm);\r\n};\r\n\r\n\r\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\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 */\r\nP.toPower = P.pow = function (y) {\r\n var e, k, pr, r, rm, s,\r\n x = this,\r\n Ctor = x.constructor,\r\n yn = +(y = new Ctor(y));\r\n\r\n // Either ±Infinity, NaN or ±0?\r\n if (!x.d || !y.d || !x.d[0] || !y.d[0]) return new Ctor(mathpow(+x, yn));\r\n\r\n x = new Ctor(x);\r\n\r\n if (x.eq(1)) return x;\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n\r\n if (y.eq(1)) return finalise(x, pr, rm);\r\n\r\n // y exponent\r\n e = mathfloor(y.e / LOG_BASE);\r\n\r\n // If y is a small integer use the 'exponentiation by squaring' algorithm.\r\n if (e >= y.d.length - 1 && (k = yn < 0 ? -yn : yn) <= MAX_SAFE_INTEGER) {\r\n r = intPow(Ctor, x, k, pr);\r\n return y.s < 0 ? new Ctor(1).div(r) : finalise(r, pr, rm);\r\n }\r\n\r\n s = x.s;\r\n\r\n // if x is negative\r\n if (s < 0) {\r\n\r\n // if y is not an integer\r\n if (e < y.d.length - 1) return new Ctor(NaN);\r\n\r\n // Result is positive if x is negative and the last digit of integer y is even.\r\n if ((y.d[e] & 1) == 0) s = 1;\r\n\r\n // if x.eq(-1)\r\n if (x.e == 0 && x.d[0] == 1 && x.d.length == 1) {\r\n x.s = s;\r\n return x;\r\n }\r\n }\r\n\r\n // Estimate result exponent.\r\n // x^y = 10^e, where e = y * log10(x)\r\n // log10(x) = log10(x_significand) + x_exponent\r\n // log10(x_significand) = ln(x_significand) / ln(10)\r\n k = mathpow(+x, yn);\r\n e = k == 0 || !isFinite(k)\r\n ? mathfloor(yn * (Math.log('0.' + digitsToString(x.d)) / Math.LN10 + x.e + 1))\r\n : new Ctor(k + '').e;\r\n\r\n // Exponent estimate may be incorrect e.g. x: 0.999999999999999999, y: 2.29, e: 0, r.e: -1.\r\n\r\n // Overflow/underflow?\r\n if (e > Ctor.maxE + 1 || e < Ctor.minE - 1) return new Ctor(e > 0 ? s / 0 : 0);\r\n\r\n external = false;\r\n Ctor.rounding = x.s = 1;\r\n\r\n // Estimate the extra guard digits needed to ensure five correct rounding digits from\r\n // naturalLogarithm(x). Example of failure without these extra digits (precision: 10):\r\n // new Decimal(2.32456).pow('2087987436534566.46411')\r\n // should be 1.162377823e+764914905173815, but is 1.162355823e+764914905173815\r\n k = Math.min(12, (e + '').length);\r\n\r\n // r = x^y = exp(y*ln(x))\r\n r = naturalExponential(y.times(naturalLogarithm(x, pr + k)), pr);\r\n\r\n // r may be Infinity, e.g. (0.9999999999999999).pow(-1e+40)\r\n if (r.d) {\r\n\r\n // Truncate to the required precision plus five rounding digits.\r\n r = finalise(r, pr + 5, 1);\r\n\r\n // If the rounding digits are [49]9999 or [50]0000 increase the precision by 10 and recalculate\r\n // the result.\r\n if (checkRoundingDigits(r.d, pr, rm)) {\r\n e = pr + 10;\r\n\r\n // Truncate to the increased precision plus five rounding digits.\r\n r = finalise(naturalExponential(y.times(naturalLogarithm(x, e + k)), e), e + 5, 1);\r\n\r\n // Check for 14 nines from the 2nd rounding digit (the first rounding digit may be 4 or 9).\r\n if (+digitsToString(r.d).slice(pr + 1, pr + 15) + 1 == 1e14) {\r\n r = finalise(r, pr + 1, 0);\r\n }\r\n }\r\n }\r\n\r\n r.s = s;\r\n external = true;\r\n Ctor.rounding = rm;\r\n\r\n return finalise(r, pr, rm);\r\n};\r\n\r\n\r\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 */\r\nP.toPrecision = function (sd, rm) {\r\n var str,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (sd === void 0) {\r\n str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\r\n } else {\r\n checkInt32(sd, 1, MAX_DIGITS);\r\n\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n\r\n x = finalise(new Ctor(x), sd, rm);\r\n str = finiteToString(x, sd <= x.e || x.e <= Ctor.toExpNeg, sd);\r\n }\r\n\r\n return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\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 */\r\nP.toSignificantDigits = P.toSD = function (sd, rm) {\r\n var x = this,\r\n Ctor = x.constructor;\r\n\r\n if (sd === void 0) {\r\n sd = Ctor.precision;\r\n rm = Ctor.rounding;\r\n } else {\r\n checkInt32(sd, 1, MAX_DIGITS);\r\n\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n }\r\n\r\n return finalise(new Ctor(x), sd, rm);\r\n};\r\n\r\n\r\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 */\r\nP.toString = function () {\r\n var x = this,\r\n Ctor = x.constructor,\r\n str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\r\n\r\n return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal truncated to a whole number.\r\n *\r\n */\r\nP.truncated = P.trunc = function () {\r\n return finalise(new this.constructor(this), this.e + 1, 1);\r\n};\r\n\r\n\r\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 */\r\nP.valueOf = P.toJSON = function () {\r\n var x = this,\r\n Ctor = x.constructor,\r\n str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\r\n\r\n return x.isNeg() ? '-' + str : str;\r\n};\r\n\r\n\r\n// Helper functions for Decimal.prototype (P) and/or Decimal methods, and their callers.\r\n\r\n\r\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 */\r\n\r\n\r\nfunction digitsToString(d) {\r\n var i, k, ws,\r\n indexOfLastWord = d.length - 1,\r\n str = '',\r\n w = d[0];\r\n\r\n if (indexOfLastWord > 0) {\r\n str += w;\r\n for (i = 1; i < indexOfLastWord; i++) {\r\n ws = d[i] + '';\r\n k = LOG_BASE - ws.length;\r\n if (k) str += getZeroString(k);\r\n str += ws;\r\n }\r\n\r\n w = d[i];\r\n ws = w + '';\r\n k = LOG_BASE - ws.length;\r\n if (k) str += getZeroString(k);\r\n } else if (w === 0) {\r\n return '0';\r\n }\r\n\r\n // Remove trailing zeros of last w.\r\n for (; w % 10 === 0;) w /= 10;\r\n\r\n return str + w;\r\n}\r\n\r\n\r\nfunction checkInt32(i, min, max) {\r\n if (i !== ~~i || i < min || i > max) {\r\n throw Error(invalidArgument + i);\r\n }\r\n}\r\n\r\n\r\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 */\r\nfunction checkRoundingDigits(d, i, rm, repeating) {\r\n var di, k, r, rd;\r\n\r\n // Get the length of the first word of the array d.\r\n for (k = d[0]; k >= 10; k /= 10) --i;\r\n\r\n // Is the rounding digit in the first word of d?\r\n if (--i < 0) {\r\n i += LOG_BASE;\r\n di = 0;\r\n } else {\r\n di = Math.ceil((i + 1) / LOG_BASE);\r\n i %= LOG_BASE;\r\n }\r\n\r\n // i is the index (0 - 6) of the rounding digit.\r\n // E.g. if within the word 3487563 the first rounding digit is 5,\r\n // then i = 4, k = 1000, rd = 3487563 % 1000 = 563\r\n k = mathpow(10, LOG_BASE - i);\r\n rd = d[di] % k | 0;\r\n\r\n if (repeating == null) {\r\n if (i < 3) {\r\n if (i == 0) rd = rd / 100 | 0;\r\n else if (i == 1) rd = rd / 10 | 0;\r\n r = rm < 4 && rd == 99999 || rm > 3 && rd == 49999 || rd == 50000 || rd == 0;\r\n } else {\r\n r = (rm < 4 && rd + 1 == k || rm > 3 && rd + 1 == k / 2) &&\r\n (d[di + 1] / k / 100 | 0) == mathpow(10, i - 2) - 1 ||\r\n (rd == k / 2 || rd == 0) && (d[di + 1] / k / 100 | 0) == 0;\r\n }\r\n } else {\r\n if (i < 4) {\r\n if (i == 0) rd = rd / 1000 | 0;\r\n else if (i == 1) rd = rd / 100 | 0;\r\n else if (i == 2) rd = rd / 10 | 0;\r\n r = (repeating || rm < 4) && rd == 9999 || !repeating && rm > 3 && rd == 4999;\r\n } else {\r\n r = ((repeating || rm < 4) && rd + 1 == k ||\r\n (!repeating && rm > 3) && rd + 1 == k / 2) &&\r\n (d[di + 1] / k / 1000 | 0) == mathpow(10, i - 3) - 1;\r\n }\r\n }\r\n\r\n return r;\r\n}\r\n\r\n\r\n// Convert string of `baseIn` to an array of numbers of `baseOut`.\r\n// Eg. convertBase('255', 10, 16) returns [15, 15].\r\n// Eg. convertBase('ff', 16, 10) returns [2, 5, 5].\r\nfunction convertBase(str, baseIn, baseOut) {\r\n var j,\r\n arr = [0],\r\n arrL,\r\n i = 0,\r\n strL = str.length;\r\n\r\n for (; i < strL;) {\r\n for (arrL = arr.length; arrL--;) arr[arrL] *= baseIn;\r\n arr[0] += NUMERALS.indexOf(str.charAt(i++));\r\n for (j = 0; j < arr.length; j++) {\r\n if (arr[j] > baseOut - 1) {\r\n if (arr[j + 1] === void 0) arr[j + 1] = 0;\r\n arr[j + 1] += arr[j] / baseOut | 0;\r\n arr[j] %= baseOut;\r\n }\r\n }\r\n }\r\n\r\n return arr.reverse();\r\n}\r\n\r\n\r\n/*\r\n * cos(x) = 1 - x^2/2! + x^4/4! - ...\r\n * |x| < pi/2\r\n *\r\n */\r\nfunction cosine(Ctor, x) {\r\n var k, len, y;\r\n\r\n if (x.isZero()) return x;\r\n\r\n // Argument reduction: cos(4x) = 8*(cos^4(x) - cos^2(x)) + 1\r\n // i.e. cos(x) = 8*(cos^4(x/4) - cos^2(x/4)) + 1\r\n\r\n // Estimate the optimum number of times to use the argument reduction.\r\n len = x.d.length;\r\n if (len < 32) {\r\n k = Math.ceil(len / 3);\r\n y = (1 / tinyPow(4, k)).toString();\r\n } else {\r\n k = 16;\r\n y = '2.3283064365386962890625e-10';\r\n }\r\n\r\n Ctor.precision += k;\r\n\r\n x = taylorSeries(Ctor, 1, x.times(y), new Ctor(1));\r\n\r\n // Reverse argument reduction\r\n for (var i = k; i--;) {\r\n var cos2x = x.times(x);\r\n x = cos2x.times(cos2x).minus(cos2x).times(8).plus(1);\r\n }\r\n\r\n Ctor.precision -= k;\r\n\r\n return x;\r\n}\r\n\r\n\r\n/*\r\n * Perform division in the specified base.\r\n */\r\nvar divide = (function () {\r\n\r\n // Assumes non-zero x and k, and hence non-zero result.\r\n function multiplyInteger(x, k, base) {\r\n var temp,\r\n carry = 0,\r\n i = x.length;\r\n\r\n for (x = x.slice(); i--;) {\r\n temp = x[i] * k + carry;\r\n x[i] = temp % base | 0;\r\n carry = temp / base | 0;\r\n }\r\n\r\n if (carry) x.unshift(carry);\r\n\r\n return x;\r\n }\r\n\r\n function compare(a, b, aL, bL) {\r\n var i, r;\r\n\r\n if (aL != bL) {\r\n r = aL > bL ? 1 : -1;\r\n } else {\r\n for (i = r = 0; i < aL; i++) {\r\n if (a[i] != b[i]) {\r\n r = a[i] > b[i] ? 1 : -1;\r\n break;\r\n }\r\n }\r\n }\r\n\r\n return r;\r\n }\r\n\r\n function subtract(a, b, aL, base) {\r\n var i = 0;\r\n\r\n // Subtract b from a.\r\n for (; aL--;) {\r\n a[aL] -= i;\r\n i = a[aL] < b[aL] ? 1 : 0;\r\n a[aL] = i * base + a[aL] - b[aL];\r\n }\r\n\r\n // Remove leading zeros.\r\n for (; !a[0] && a.length > 1;) a.shift();\r\n }\r\n\r\n return function (x, y, pr, rm, dp, base) {\r\n var cmp, e, i, k, logBase, more, prod, prodL, q, qd, rem, remL, rem0, sd, t, xi, xL, yd0,\r\n yL, yz,\r\n Ctor = x.constructor,\r\n sign = x.s == y.s ? 1 : -1,\r\n xd = x.d,\r\n yd = y.d;\r\n\r\n // Either NaN, Infinity or 0?\r\n if (!xd || !xd[0] || !yd || !yd[0]) {\r\n\r\n return new Ctor(// Return NaN if either NaN, or both Infinity or 0.\r\n !x.s || !y.s || (xd ? yd && xd[0] == yd[0] : !yd) ? NaN :\r\n\r\n // Return ±0 if x is 0 or y is ±Infinity, or return ±Infinity as y is 0.\r\n xd && xd[0] == 0 || !yd ? sign * 0 : sign / 0);\r\n }\r\n\r\n if (base) {\r\n logBase = 1;\r\n e = x.e - y.e;\r\n } else {\r\n base = BASE;\r\n logBase = LOG_BASE;\r\n e = mathfloor(x.e / logBase) - mathfloor(y.e / logBase);\r\n }\r\n\r\n yL = yd.length;\r\n xL = xd.length;\r\n q = new Ctor(sign);\r\n qd = q.d = [];\r\n\r\n // Result exponent may be one less than e.\r\n // The digit array of a Decimal from toStringBinary may have trailing zeros.\r\n for (i = 0; yd[i] == (xd[i] || 0); i++);\r\n\r\n if (yd[i] > (xd[i] || 0)) e--;\r\n\r\n if (pr == null) {\r\n sd = pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n } else if (dp) {\r\n sd = pr + (x.e - y.e) + 1;\r\n } else {\r\n sd = pr;\r\n }\r\n\r\n if (sd < 0) {\r\n qd.push(1);\r\n more = true;\r\n } else {\r\n\r\n // Convert precision in number of base 10 digits to base 1e7 digits.\r\n sd = sd / logBase + 2 | 0;\r\n i = 0;\r\n\r\n // divisor < 1e7\r\n if (yL == 1) {\r\n k = 0;\r\n yd = yd[0];\r\n sd++;\r\n\r\n // k is the carry.\r\n for (; (i < xL || k) && sd--; i++) {\r\n t = k * base + (xd[i] || 0);\r\n qd[i] = t / yd | 0;\r\n k = t % yd | 0;\r\n }\r\n\r\n more = k || i < xL;\r\n\r\n // divisor >= 1e7\r\n } else {\r\n\r\n // Normalise xd and yd so highest order digit of yd is >= base/2\r\n k = base / (yd[0] + 1) | 0;\r\n\r\n if (k > 1) {\r\n yd = multiplyInteger(yd, k, base);\r\n xd = multiplyInteger(xd, k, base);\r\n yL = yd.length;\r\n xL = xd.length;\r\n }\r\n\r\n xi = yL;\r\n rem = xd.slice(0, yL);\r\n remL = rem.length;\r\n\r\n // Add zeros to make remainder as long as divisor.\r\n for (; remL < yL;) rem[remL++] = 0;\r\n\r\n yz = yd.slice();\r\n yz.unshift(0);\r\n yd0 = yd[0];\r\n\r\n if (yd[1] >= base / 2) ++yd0;\r\n\r\n do {\r\n k = 0;\r\n\r\n // Compare divisor and remainder.\r\n cmp = compare(yd, rem, yL, remL);\r\n\r\n // If divisor < remainder.\r\n if (cmp < 0) {\r\n\r\n // Calculate trial digit, k.\r\n rem0 = rem[0];\r\n if (yL != remL) rem0 = rem0 * base + (rem[1] || 0);\r\n\r\n // k will be how many times the divisor goes into the current remainder.\r\n k = rem0 / yd0 | 0;\r\n\r\n // Algorithm:\r\n // 1. product = divisor * trial digit (k)\r\n // 2. if product > remainder: product -= divisor, k--\r\n // 3. remainder -= product\r\n // 4. if product was < remainder at 2:\r\n // 5. compare new remainder and divisor\r\n // 6. If remainder > divisor: remainder -= divisor, k++\r\n\r\n if (k > 1) {\r\n if (k >= base) k = base - 1;\r\n\r\n // product = divisor * trial digit.\r\n prod = multiplyInteger(yd, k, base);\r\n prodL = prod.length;\r\n remL = rem.length;\r\n\r\n // Compare product and remainder.\r\n cmp = compare(prod, rem, prodL, remL);\r\n\r\n // product > remainder.\r\n if (cmp == 1) {\r\n k--;\r\n\r\n // Subtract divisor from product.\r\n subtract(prod, yL < prodL ? yz : yd, prodL, base);\r\n }\r\n } else {\r\n\r\n // cmp is -1.\r\n // If k is 0, there is no need to compare yd and rem again below, so change cmp to 1\r\n // to avoid it. If k is 1 there is a need to compare yd and rem again below.\r\n if (k == 0) cmp = k = 1;\r\n prod = yd.slice();\r\n }\r\n\r\n prodL = prod.length;\r\n if (prodL < remL) prod.unshift(0);\r\n\r\n // Subtract product from remainder.\r\n subtract(rem, prod, remL, base);\r\n\r\n // If product was < previous remainder.\r\n if (cmp == -1) {\r\n remL = rem.length;\r\n\r\n // Compare divisor and new remainder.\r\n cmp = compare(yd, rem, yL, remL);\r\n\r\n // If divisor < new remainder, subtract divisor from remainder.\r\n if (cmp < 1) {\r\n k++;\r\n\r\n // Subtract divisor from remainder.\r\n subtract(rem, yL < remL ? yz : yd, remL, base);\r\n }\r\n }\r\n\r\n remL = rem.length;\r\n } else if (cmp === 0) {\r\n k++;\r\n rem = [0];\r\n } // if cmp === 1, k will be 0\r\n\r\n // Add the next digit, k, to the result array.\r\n qd[i++] = k;\r\n\r\n // Update the remainder.\r\n if (cmp && rem[0]) {\r\n rem[remL++] = xd[xi] || 0;\r\n } else {\r\n rem = [xd[xi]];\r\n remL = 1;\r\n }\r\n\r\n } while ((xi++ < xL || rem[0] !== void 0) && sd--);\r\n\r\n more = rem[0] !== void 0;\r\n }\r\n\r\n // Leading zero?\r\n if (!qd[0]) qd.shift();\r\n }\r\n\r\n // logBase is 1 when divide is being used for base conversion.\r\n if (logBase == 1) {\r\n q.e = e;\r\n inexact = more;\r\n } else {\r\n\r\n // To calculate q.e, first get the number of digits of qd[0].\r\n for (i = 1, k = qd[0]; k >= 10; k /= 10) i++;\r\n q.e = i + e * logBase - 1;\r\n\r\n finalise(q, dp ? pr + q.e + 1 : pr, rm, more);\r\n }\r\n\r\n return q;\r\n };\r\n})();\r\n\r\n\r\n/*\r\n * Round `x` to `sd` significant digits using rounding mode `rm`.\r\n * Check for over/under-flow.\r\n */\r\n function finalise(x, sd, rm, isTruncated) {\r\n var digits, i, j, k, rd, roundUp, w, xd, xdi,\r\n Ctor = x.constructor;\r\n\r\n // Don't round if sd is null or undefined.\r\n out: if (sd != null) {\r\n xd = x.d;\r\n\r\n // Infinity/NaN.\r\n if (!xd) return x;\r\n\r\n // rd: the rounding digit, i.e. the digit after the digit that may be rounded up.\r\n // w: the word of xd containing rd, a base 1e7 number.\r\n // xdi: the index of w within xd.\r\n // digits: the number of digits of w.\r\n // i: what would be the index of rd within w if all the numbers were 7 digits long (i.e. if\r\n // they had leading zeros)\r\n // j: if > 0, the actual index of rd within w (if < 0, rd is a leading zero).\r\n\r\n // Get the length of the first word of the digits array xd.\r\n for (digits = 1, k = xd[0]; k >= 10; k /= 10) digits++;\r\n i = sd - digits;\r\n\r\n // Is the rounding digit in the first word of xd?\r\n if (i < 0) {\r\n i += LOG_BASE;\r\n j = sd;\r\n w = xd[xdi = 0];\r\n\r\n // Get the rounding digit at index j of w.\r\n rd = w / mathpow(10, digits - j - 1) % 10 | 0;\r\n } else {\r\n xdi = Math.ceil((i + 1) / LOG_BASE);\r\n k = xd.length;\r\n if (xdi >= k) {\r\n if (isTruncated) {\r\n\r\n // Needed by `naturalExponential`, `naturalLogarithm` and `squareRoot`.\r\n for (; k++ <= xdi;) xd.push(0);\r\n w = rd = 0;\r\n digits = 1;\r\n i %= LOG_BASE;\r\n j = i - LOG_BASE + 1;\r\n } else {\r\n break out;\r\n }\r\n } else {\r\n w = k = xd[xdi];\r\n\r\n // Get the number of digits of w.\r\n for (digits = 1; k >= 10; k /= 10) digits++;\r\n\r\n // Get the index of rd within w.\r\n i %= LOG_BASE;\r\n\r\n // Get the index of rd within w, adjusted for leading zeros.\r\n // The number of leading zeros of w is given by LOG_BASE - digits.\r\n j = i - LOG_BASE + digits;\r\n\r\n // Get the rounding digit at index j of w.\r\n rd = j < 0 ? 0 : w / mathpow(10, digits - j - 1) % 10 | 0;\r\n }\r\n }\r\n\r\n // Are there any non-zero digits after the rounding digit?\r\n isTruncated = isTruncated || sd < 0 ||\r\n xd[xdi + 1] !== void 0 || (j < 0 ? w : w % mathpow(10, digits - j - 1));\r\n\r\n // The expression `w % mathpow(10, digits - j - 1)` returns all the digits of w to the right\r\n // of the digit at (left-to-right) index j, e.g. if w is 908714 and j is 2, the expression\r\n // will give 714.\r\n\r\n roundUp = rm < 4\r\n ? (rd || isTruncated) && (rm == 0 || rm == (x.s < 0 ? 3 : 2))\r\n : rd > 5 || rd == 5 && (rm == 4 || isTruncated || rm == 6 &&\r\n\r\n // Check whether the digit to the left of the rounding digit is odd.\r\n ((i > 0 ? j > 0 ? w / mathpow(10, digits - j) : 0 : xd[xdi - 1]) % 10) & 1 ||\r\n rm == (x.s < 0 ? 8 : 7));\r\n\r\n if (sd < 1 || !xd[0]) {\r\n xd.length = 0;\r\n if (roundUp) {\r\n\r\n // Convert sd to decimal places.\r\n sd -= x.e + 1;\r\n\r\n // 1, 0.1, 0.01, 0.001, 0.0001 etc.\r\n xd[0] = mathpow(10, (LOG_BASE - sd % LOG_BASE) % LOG_BASE);\r\n x.e = -sd || 0;\r\n } else {\r\n\r\n // Zero.\r\n xd[0] = x.e = 0;\r\n }\r\n\r\n return x;\r\n }\r\n\r\n // Remove excess digits.\r\n if (i == 0) {\r\n xd.length = xdi;\r\n k = 1;\r\n xdi--;\r\n } else {\r\n xd.length = xdi + 1;\r\n k = mathpow(10, LOG_BASE - i);\r\n\r\n // E.g. 56700 becomes 56000 if 7 is the rounding digit.\r\n // j > 0 means i > number of leading zeros of w.\r\n xd[xdi] = j > 0 ? (w / mathpow(10, digits - j) % mathpow(10, j) | 0) * k : 0;\r\n }\r\n\r\n if (roundUp) {\r\n for (;;) {\r\n\r\n // Is the digit to be rounded up in the first word of xd?\r\n if (xdi == 0) {\r\n\r\n // i will be the length of xd[0] before k is added.\r\n for (i = 1, j = xd[0]; j >= 10; j /= 10) i++;\r\n j = xd[0] += k;\r\n for (k = 1; j >= 10; j /= 10) k++;\r\n\r\n // if i != k the length has increased.\r\n if (i != k) {\r\n x.e++;\r\n if (xd[0] == BASE) xd[0] = 1;\r\n }\r\n\r\n break;\r\n } else {\r\n xd[xdi] += k;\r\n if (xd[xdi] != BASE) break;\r\n xd[xdi--] = 0;\r\n k = 1;\r\n }\r\n }\r\n }\r\n\r\n // Remove trailing zeros.\r\n for (i = xd.length; xd[--i] === 0;) xd.pop();\r\n }\r\n\r\n if (external) {\r\n\r\n // Overflow?\r\n if (x.e > Ctor.maxE) {\r\n\r\n // Infinity.\r\n x.d = null;\r\n x.e = NaN;\r\n\r\n // Underflow?\r\n } else if (x.e < Ctor.minE) {\r\n\r\n // Zero.\r\n x.e = 0;\r\n x.d = [0];\r\n // Ctor.underflow = true;\r\n } // else Ctor.underflow = false;\r\n }\r\n\r\n return x;\r\n}\r\n\r\n\r\nfunction finiteToString(x, isExp, sd) {\r\n if (!x.isFinite()) return nonFiniteToString(x);\r\n var k,\r\n e = x.e,\r\n str = digitsToString(x.d),\r\n len = str.length;\r\n\r\n if (isExp) {\r\n if (sd && (k = sd - len) > 0) {\r\n str = str.charAt(0) + '.' + str.slice(1) + getZeroString(k);\r\n } else if (len > 1) {\r\n str = str.charAt(0) + '.' + str.slice(1);\r\n }\r\n\r\n str = str + (x.e < 0 ? 'e' : 'e+') + x.e;\r\n } else if (e < 0) {\r\n str = '0.' + getZeroString(-e - 1) + str;\r\n if (sd && (k = sd - len) > 0) str += getZeroString(k);\r\n } else if (e >= len) {\r\n str += getZeroString(e + 1 - len);\r\n if (sd && (k = sd - e - 1) > 0) str = str + '.' + getZeroString(k);\r\n } else {\r\n if ((k = e + 1) < len) str = str.slice(0, k) + '.' + str.slice(k);\r\n if (sd && (k = sd - len) > 0) {\r\n if (e + 1 === len) str += '.';\r\n str += getZeroString(k);\r\n }\r\n }\r\n\r\n return str;\r\n}\r\n\r\n\r\n// Calculate the base 10 exponent from the base 1e7 exponent.\r\nfunction getBase10Exponent(digits, e) {\r\n var w = digits[0];\r\n\r\n // Add the number of digits of the first word of the digits array.\r\n for ( e *= LOG_BASE; w >= 10; w /= 10) e++;\r\n return e;\r\n}\r\n\r\n\r\nfunction getLn10(Ctor, sd, pr) {\r\n if (sd > LN10_PRECISION) {\r\n\r\n // Reset global state in case the exception is caught.\r\n external = true;\r\n if (pr) Ctor.precision = pr;\r\n throw Error(precisionLimitExceeded);\r\n }\r\n return finalise(new Ctor(LN10), sd, 1, true);\r\n}\r\n\r\n\r\nfunction getPi(Ctor, sd, rm) {\r\n if (sd > PI_PRECISION) throw Error(precisionLimitExceeded);\r\n return finalise(new Ctor(PI), sd, rm, true);\r\n}\r\n\r\n\r\nfunction getPrecision(digits) {\r\n var w = digits.length - 1,\r\n len = w * LOG_BASE + 1;\r\n\r\n w = digits[w];\r\n\r\n // If non-zero...\r\n if (w) {\r\n\r\n // Subtract the number of trailing zeros of the last word.\r\n for (; w % 10 == 0; w /= 10) len--;\r\n\r\n // Add the number of digits of the first word.\r\n for (w = digits[0]; w >= 10; w /= 10) len++;\r\n }\r\n\r\n return len;\r\n}\r\n\r\n\r\nfunction getZeroString(k) {\r\n var zs = '';\r\n for (; k--;) zs += '0';\r\n return zs;\r\n}\r\n\r\n\r\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 */\r\nfunction intPow(Ctor, x, n, pr) {\r\n var isTruncated,\r\n r = new Ctor(1),\r\n\r\n // Max n of 9007199254740991 takes 53 loop iterations.\r\n // Maximum digits array length; leaves [28, 34] guard digits.\r\n k = Math.ceil(pr / LOG_BASE + 4);\r\n\r\n external = false;\r\n\r\n for (;;) {\r\n if (n % 2) {\r\n r = r.times(x);\r\n if (truncate(r.d, k)) isTruncated = true;\r\n }\r\n\r\n n = mathfloor(n / 2);\r\n if (n === 0) {\r\n\r\n // To ensure correct rounding when r.d is truncated, increment the last word if it is zero.\r\n n = r.d.length - 1;\r\n if (isTruncated && r.d[n] === 0) ++r.d[n];\r\n break;\r\n }\r\n\r\n x = x.times(x);\r\n truncate(x.d, k);\r\n }\r\n\r\n external = true;\r\n\r\n return r;\r\n}\r\n\r\n\r\nfunction isOdd(n) {\r\n return n.d[n.d.length - 1] & 1;\r\n}\r\n\r\n\r\n/*\r\n * Handle `max` and `min`. `ltgt` is 'lt' or 'gt'.\r\n */\r\nfunction maxOrMin(Ctor, args, ltgt) {\r\n var y,\r\n x = new Ctor(args[0]),\r\n i = 0;\r\n\r\n for (; ++i < args.length;) {\r\n y = new Ctor(args[i]);\r\n if (!y.s) {\r\n x = y;\r\n break;\r\n } else if (x[ltgt](y)) {\r\n x = y;\r\n }\r\n }\r\n\r\n return x;\r\n}\r\n\r\n\r\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 */\r\nfunction naturalExponential(x, sd) {\r\n var denominator, guard, j, pow, sum, t, wpr,\r\n rep = 0,\r\n i = 0,\r\n k = 0,\r\n Ctor = x.constructor,\r\n rm = Ctor.rounding,\r\n pr = Ctor.precision;\r\n\r\n // 0/NaN/Infinity?\r\n if (!x.d || !x.d[0] || x.e > 17) {\r\n\r\n return new Ctor(x.d\r\n ? !x.d[0] ? 1 : x.s < 0 ? 0 : 1 / 0\r\n : x.s ? x.s < 0 ? 0 : x : 0 / 0);\r\n }\r\n\r\n if (sd == null) {\r\n external = false;\r\n wpr = pr;\r\n } else {\r\n wpr = sd;\r\n }\r\n\r\n t = new Ctor(0.03125);\r\n\r\n // while abs(x) >= 0.1\r\n while (x.e > -2) {\r\n\r\n // x = x / 2^5\r\n x = x.times(t);\r\n k += 5;\r\n }\r\n\r\n // Use 2 * log10(2^k) + 5 (empirically derived) to estimate the increase in precision\r\n // necessary to ensure the first 4 rounding digits are correct.\r\n guard = Math.log(mathpow(2, k)) / Math.LN10 * 2 + 5 | 0;\r\n wpr += guard;\r\n denominator = pow = sum = new Ctor(1);\r\n Ctor.precision = wpr;\r\n\r\n for (;;) {\r\n pow = finalise(pow.times(x), wpr, 1);\r\n denominator = denominator.times(++i);\r\n t = sum.plus(divide(pow, denominator, wpr, 1));\r\n\r\n if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum.d).slice(0, wpr)) {\r\n j = k;\r\n while (j--) sum = finalise(sum.times(sum), wpr, 1);\r\n\r\n // Check to see if the first 4 rounding digits are [49]999.\r\n // If so, repeat the summation with a higher precision, otherwise\r\n // e.g. with precision: 18, rounding: 1\r\n // exp(18.404272462595034083567793919843761) = 98372560.1229999999 (should be 98372560.123)\r\n // `wpr - guard` is the index of first rounding digit.\r\n if (sd == null) {\r\n\r\n if (rep < 3 && checkRoundingDigits(sum.d, wpr - guard, rm, rep)) {\r\n Ctor.precision = wpr += 10;\r\n denominator = pow = t = new Ctor(1);\r\n i = 0;\r\n rep++;\r\n } else {\r\n return finalise(sum, Ctor.precision = pr, rm, external = true);\r\n }\r\n } else {\r\n Ctor.precision = pr;\r\n return sum;\r\n }\r\n }\r\n\r\n sum = t;\r\n }\r\n}\r\n\r\n\r\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 */\r\nfunction naturalLogarithm(y, sd) {\r\n var c, c0, denominator, e, numerator, rep, sum, t, wpr, x1, x2,\r\n n = 1,\r\n guard = 10,\r\n x = y,\r\n xd = x.d,\r\n Ctor = x.constructor,\r\n rm = Ctor.rounding,\r\n pr = Ctor.precision;\r\n\r\n // Is x negative or Infinity, NaN, 0 or 1?\r\n if (x.s < 0 || !xd || !xd[0] || !x.e && xd[0] == 1 && xd.length == 1) {\r\n return new Ctor(xd && !xd[0] ? -1 / 0 : x.s != 1 ? NaN : xd ? 0 : x);\r\n }\r\n\r\n if (sd == null) {\r\n external = false;\r\n wpr = pr;\r\n } else {\r\n wpr = sd;\r\n }\r\n\r\n Ctor.precision = wpr += guard;\r\n c = digitsToString(xd);\r\n c0 = c.charAt(0);\r\n\r\n if (Math.abs(e = x.e) < 1.5e15) {\r\n\r\n // Argument reduction.\r\n // The series converges faster the closer the argument is to 1, so using\r\n // ln(a^b) = b * ln(a), ln(a) = ln(a^b) / b\r\n // multiply the argument by itself until the leading digits of the significand are 7, 8, 9,\r\n // 10, 11, 12 or 13, recording the number of multiplications so the sum of the series can\r\n // later be divided by this number, then separate out the power of 10 using\r\n // ln(a*10^b) = ln(a) + b*ln(10).\r\n\r\n // max n is 21 (gives 0.9, 1.0 or 1.1) (9e15 / 21 = 4.2e14).\r\n //while (c0 < 9 && c0 != 1 || c0 == 1 && c.charAt(1) > 1) {\r\n // max n is 6 (gives 0.7 - 1.3)\r\n while (c0 < 7 && c0 != 1 || c0 == 1 && c.charAt(1) > 3) {\r\n x = x.times(y);\r\n c = digitsToString(x.d);\r\n c0 = c.charAt(0);\r\n n++;\r\n }\r\n\r\n e = x.e;\r\n\r\n if (c0 > 1) {\r\n x = new Ctor('0.' + c);\r\n e++;\r\n } else {\r\n x = new Ctor(c0 + '.' + c.slice(1));\r\n }\r\n } else {\r\n\r\n // The argument reduction method above may result in overflow if the argument y is a massive\r\n // number with exponent >= 1500000000000000 (9e15 / 6 = 1.5e15), so instead recall this\r\n // function using ln(x*10^e) = ln(x) + e*ln(10).\r\n t = getLn10(Ctor, wpr + 2, pr).times(e + '');\r\n x = naturalLogarithm(new Ctor(c0 + '.' + c.slice(1)), wpr - guard).plus(t);\r\n Ctor.precision = pr;\r\n\r\n return sd == null ? finalise(x, pr, rm, external = true) : x;\r\n }\r\n\r\n // x1 is x reduced to a value near 1.\r\n x1 = x;\r\n\r\n // Taylor series.\r\n // ln(y) = ln((1 + x)/(1 - x)) = 2(x + x^3/3 + x^5/5 + x^7/7 + ...)\r\n // where x = (y - 1)/(y + 1) (|x| < 1)\r\n sum = numerator = x = divide(x.minus(1), x.plus(1), wpr, 1);\r\n x2 = finalise(x.times(x), wpr, 1);\r\n denominator = 3;\r\n\r\n for (;;) {\r\n numerator = finalise(numerator.times(x2), wpr, 1);\r\n t = sum.plus(divide(numerator, new Ctor(denominator), wpr, 1));\r\n\r\n if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum.d).slice(0, wpr)) {\r\n sum = sum.times(2);\r\n\r\n // Reverse the argument reduction. Check that e is not 0 because, besides preventing an\r\n // unnecessary calculation, -0 + 0 = +0 and to ensure correct rounding -0 needs to stay -0.\r\n if (e !== 0) sum = sum.plus(getLn10(Ctor, wpr + 2, pr).times(e + ''));\r\n sum = divide(sum, new Ctor(n), wpr, 1);\r\n\r\n // Is rm > 3 and the first 4 rounding digits 4999, or rm < 4 (or the summation has\r\n // been repeated previously) and the first 4 rounding digits 9999?\r\n // If so, restart the summation with a higher precision, otherwise\r\n // e.g. with precision: 12, rounding: 1\r\n // ln(135520028.6126091714265381533) = 18.7246299999 when it should be 18.72463.\r\n // `wpr - guard` is the index of first rounding digit.\r\n if (sd == null) {\r\n if (checkRoundingDigits(sum.d, wpr - guard, rm, rep)) {\r\n Ctor.precision = wpr += guard;\r\n t = numerator = x = divide(x1.minus(1), x1.plus(1), wpr, 1);\r\n x2 = finalise(x.times(x), wpr, 1);\r\n denominator = rep = 1;\r\n } else {\r\n return finalise(sum, Ctor.precision = pr, rm, external = true);\r\n }\r\n } else {\r\n Ctor.precision = pr;\r\n return sum;\r\n }\r\n }\r\n\r\n sum = t;\r\n denominator += 2;\r\n }\r\n}\r\n\r\n\r\n// ±Infinity, NaN.\r\nfunction nonFiniteToString(x) {\r\n // Unsigned.\r\n return String(x.s * x.s / 0);\r\n}\r\n\r\n\r\n/*\r\n * Parse the value of a new Decimal `x` from string `str`.\r\n */\r\nfunction parseDecimal(x, str) {\r\n var e, i, len;\r\n\r\n // Decimal point?\r\n if ((e = str.indexOf('.')) > -1) str = str.replace('.', '');\r\n\r\n // Exponential form?\r\n if ((i = str.search(/e/i)) > 0) {\r\n\r\n // Determine exponent.\r\n if (e < 0) e = i;\r\n e += +str.slice(i + 1);\r\n str = str.substring(0, i);\r\n } else if (e < 0) {\r\n\r\n // Integer.\r\n e = str.length;\r\n }\r\n\r\n // Determine leading zeros.\r\n for (i = 0; str.charCodeAt(i) === 48; i++);\r\n\r\n // Determine trailing zeros.\r\n for (len = str.length; str.charCodeAt(len - 1) === 48; --len);\r\n str = str.slice(i, len);\r\n\r\n if (str) {\r\n len -= i;\r\n x.e = e = e - i - 1;\r\n x.d = [];\r\n\r\n // Transform base\r\n\r\n // e is the base 10 exponent.\r\n // i is where to slice str to get the first word of the digits array.\r\n i = (e + 1) % LOG_BASE;\r\n if (e < 0) i += LOG_BASE;\r\n\r\n if (i < len) {\r\n if (i) x.d.push(+str.slice(0, i));\r\n for (len -= LOG_BASE; i < len;) x.d.push(+str.slice(i, i += LOG_BASE));\r\n str = str.slice(i);\r\n i = LOG_BASE - str.length;\r\n } else {\r\n i -= len;\r\n }\r\n\r\n for (; i--;) str += '0';\r\n x.d.push(+str);\r\n\r\n if (external) {\r\n\r\n // Overflow?\r\n if (x.e > x.constructor.maxE) {\r\n\r\n // Infinity.\r\n x.d = null;\r\n x.e = NaN;\r\n\r\n // Underflow?\r\n } else if (x.e < x.constructor.minE) {\r\n\r\n // Zero.\r\n x.e = 0;\r\n x.d = [0];\r\n // x.constructor.underflow = true;\r\n } // else x.constructor.underflow = false;\r\n }\r\n } else {\r\n\r\n // Zero.\r\n x.e = 0;\r\n x.d = [0];\r\n }\r\n\r\n return x;\r\n}\r\n\r\n\r\n/*\r\n * Parse the value of a new Decimal `x` from a string `str`, which is not a decimal value.\r\n */\r\nfunction parseOther(x, str) {\r\n var base, Ctor, divisor, i, isFloat, len, p, xd, xe;\r\n\r\n if (str.indexOf('_') > -1) {\r\n str = str.replace(/(\\d)_(?=\\d)/g, '$1');\r\n if (isDecimal.test(str)) return parseDecimal(x, str);\r\n } else if (str === 'Infinity' || str === 'NaN') {\r\n if (!+str) x.s = NaN;\r\n x.e = NaN;\r\n x.d = null;\r\n return x;\r\n }\r\n\r\n if (isHex.test(str)) {\r\n base = 16;\r\n str = str.toLowerCase();\r\n } else if (isBinary.test(str)) {\r\n base = 2;\r\n } else if (isOctal.test(str)) {\r\n base = 8;\r\n } else {\r\n throw Error(invalidArgument + str);\r\n }\r\n\r\n // Is there a binary exponent part?\r\n i = str.search(/p/i);\r\n\r\n if (i > 0) {\r\n p = +str.slice(i + 1);\r\n str = str.substring(2, i);\r\n } else {\r\n str = str.slice(2);\r\n }\r\n\r\n // Convert `str` as an integer then divide the result by `base` raised to a power such that the\r\n // fraction part will be restored.\r\n i = str.indexOf('.');\r\n isFloat = i >= 0;\r\n Ctor = x.constructor;\r\n\r\n if (isFloat) {\r\n str = str.replace('.', '');\r\n len = str.length;\r\n i = len - i;\r\n\r\n // log[10](16) = 1.2041... , log[10](88) = 1.9444....\r\n divisor = intPow(Ctor, new Ctor(base), i, i * 2);\r\n }\r\n\r\n xd = convertBase(str, base, BASE);\r\n xe = xd.length - 1;\r\n\r\n // Remove trailing zeros.\r\n for (i = xe; xd[i] === 0; --i) xd.pop();\r\n if (i < 0) return new Ctor(x.s * 0);\r\n x.e = getBase10Exponent(xd, xe);\r\n x.d = xd;\r\n external = false;\r\n\r\n // At what precision to perform the division to ensure exact conversion?\r\n // maxDecimalIntegerPartDigitCount = ceil(log[10](b) * otherBaseIntegerPartDigitCount)\r\n // log[10](2) = 0.30103, log[10](8) = 0.90309, log[10](16) = 1.20412\r\n // E.g. ceil(1.2 * 3) = 4, so up to 4 decimal digits are needed to represent 3 hex int digits.\r\n // maxDecimalFractionPartDigitCount = {Hex:4|Oct:3|Bin:1} * otherBaseFractionPartDigitCount\r\n // Therefore using 4 * the number of digits of str will always be enough.\r\n if (isFloat) x = divide(x, divisor, len * 4);\r\n\r\n // Multiply by the binary exponent part if present.\r\n if (p) x = x.times(Math.abs(p) < 54 ? mathpow(2, p) : Decimal.pow(2, p));\r\n external = true;\r\n\r\n return x;\r\n}\r\n\r\n\r\n/*\r\n * sin(x) = x - x^3/3! + x^5/5! - ...\r\n * |x| < pi/2\r\n *\r\n */\r\nfunction sine(Ctor, x) {\r\n var k,\r\n len = x.d.length;\r\n\r\n if (len < 3) {\r\n return x.isZero() ? x : taylorSeries(Ctor, 2, x, x);\r\n }\r\n\r\n // Argument reduction: sin(5x) = 16*sin^5(x) - 20*sin^3(x) + 5*sin(x)\r\n // i.e. sin(x) = 16*sin^5(x/5) - 20*sin^3(x/5) + 5*sin(x/5)\r\n // and sin(x) = sin(x/5)(5 + sin^2(x/5)(16sin^2(x/5) - 20))\r\n\r\n // Estimate the optimum number of times to use the argument reduction.\r\n k = 1.4 * Math.sqrt(len);\r\n k = k > 16 ? 16 : k | 0;\r\n\r\n x = x.times(1 / tinyPow(5, k));\r\n x = taylorSeries(Ctor, 2, x, x);\r\n\r\n // Reverse argument reduction\r\n var sin2_x,\r\n d5 = new Ctor(5),\r\n d16 = new Ctor(16),\r\n d20 = new Ctor(20);\r\n for (; k--;) {\r\n sin2_x = x.times(x);\r\n x = x.times(d5.plus(sin2_x.times(d16.times(sin2_x).minus(d20))));\r\n }\r\n\r\n return x;\r\n}\r\n\r\n\r\n// Calculate Taylor series for `cos`, `cosh`, `sin` and `sinh`.\r\nfunction taylorSeries(Ctor, n, x, y, isHyperbolic) {\r\n var j, t, u, x2,\r\n i = 1,\r\n pr = Ctor.precision,\r\n k = Math.ceil(pr / LOG_BASE);\r\n\r\n external = false;\r\n x2 = x.times(x);\r\n u = new Ctor(y);\r\n\r\n for (;;) {\r\n t = divide(u.times(x2), new Ctor(n++ * n++), pr, 1);\r\n u = isHyperbolic ? y.plus(t) : y.minus(t);\r\n y = divide(t.times(x2), new Ctor(n++ * n++), pr, 1);\r\n t = u.plus(y);\r\n\r\n if (t.d[k] !== void 0) {\r\n for (j = k; t.d[j] === u.d[j] && j--;);\r\n if (j == -1) break;\r\n }\r\n\r\n j = u;\r\n u = y;\r\n y = t;\r\n t = j;\r\n i++;\r\n }\r\n\r\n external = true;\r\n t.d.length = k + 1;\r\n\r\n return t;\r\n}\r\n\r\n\r\n// Exponent e must be positive and non-zero.\r\nfunction tinyPow(b, e) {\r\n var n = b;\r\n while (--e) n *= b;\r\n return n;\r\n}\r\n\r\n\r\n// Return the absolute value of `x` reduced to less than or equal to half pi.\r\nfunction toLessThanHalfPi(Ctor, x) {\r\n var t,\r\n isNeg = x.s < 0,\r\n pi = getPi(Ctor, Ctor.precision, 1),\r\n halfPi = pi.times(0.5);\r\n\r\n x = x.abs();\r\n\r\n if (x.lte(halfPi)) {\r\n quadrant = isNeg ? 4 : 1;\r\n return x;\r\n }\r\n\r\n t = x.divToInt(pi);\r\n\r\n if (t.isZero()) {\r\n quadrant = isNeg ? 3 : 2;\r\n } else {\r\n x = x.minus(t.times(pi));\r\n\r\n // 0 <= x < pi\r\n if (x.lte(halfPi)) {\r\n quadrant = isOdd(t) ? (isNeg ? 2 : 3) : (isNeg ? 4 : 1);\r\n return x;\r\n }\r\n\r\n quadrant = isOdd(t) ? (isNeg ? 1 : 4) : (isNeg ? 3 : 2);\r\n }\r\n\r\n return x.minus(pi).abs();\r\n}\r\n\r\n\r\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 */\r\nfunction toStringBinary(x, baseOut, sd, rm) {\r\n var base, e, i, k, len, roundUp, str, xd, y,\r\n Ctor = x.constructor,\r\n isExp = sd !== void 0;\r\n\r\n if (isExp) {\r\n checkInt32(sd, 1, MAX_DIGITS);\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n } else {\r\n sd = Ctor.precision;\r\n rm = Ctor.rounding;\r\n }\r\n\r\n if (!x.isFinite()) {\r\n str = nonFiniteToString(x);\r\n } else {\r\n str = finiteToString(x);\r\n i = str.indexOf('.');\r\n\r\n // Use exponential notation according to `toExpPos` and `toExpNeg`? No, but if required:\r\n // maxBinaryExponent = floor((decimalExponent + 1) * log[2](10))\r\n // minBinaryExponent = floor(decimalExponent * log[2](10))\r\n // log[2](10) = 3.321928094887362347870319429489390175864\r\n\r\n if (isExp) {\r\n base = 2;\r\n if (baseOut == 16) {\r\n sd = sd * 4 - 3;\r\n } else if (baseOut == 8) {\r\n sd = sd * 3 - 2;\r\n }\r\n } else {\r\n base = baseOut;\r\n }\r\n\r\n // Convert the number as an integer then divide the result by its base raised to a power such\r\n // that the fraction part will be restored.\r\n\r\n // Non-integer.\r\n if (i >= 0) {\r\n str = str.replace('.', '');\r\n y = new Ctor(1);\r\n y.e = str.length - i;\r\n y.d = convertBase(finiteToString(y), 10, base);\r\n y.e = y.d.length;\r\n }\r\n\r\n xd = convertBase(str, 10, base);\r\n e = len = xd.length;\r\n\r\n // Remove trailing zeros.\r\n for (; xd[--len] == 0;) xd.pop();\r\n\r\n if (!xd[0]) {\r\n str = isExp ? '0p+0' : '0';\r\n } else {\r\n if (i < 0) {\r\n e--;\r\n } else {\r\n x = new Ctor(x);\r\n x.d = xd;\r\n x.e = e;\r\n x = divide(x, y, sd, rm, 0, base);\r\n xd = x.d;\r\n e = x.e;\r\n roundUp = inexact;\r\n }\r\n\r\n // The rounding digit, i.e. the digit after the digit that may be rounded up.\r\n i = xd[sd];\r\n k = base / 2;\r\n roundUp = roundUp || xd[sd + 1] !== void 0;\r\n\r\n roundUp = rm < 4\r\n ? (i !== void 0 || roundUp) && (rm === 0 || rm === (x.s < 0 ? 3 : 2))\r\n : i > k || i === k && (rm === 4 || roundUp || rm === 6 && xd[sd - 1] & 1 ||\r\n rm === (x.s < 0 ? 8 : 7));\r\n\r\n xd.length = sd;\r\n\r\n if (roundUp) {\r\n\r\n // Rounding up may mean the previous digit has to be rounded up and so on.\r\n for (; ++xd[--sd] > base - 1;) {\r\n xd[sd] = 0;\r\n if (!sd) {\r\n ++e;\r\n xd.unshift(1);\r\n }\r\n }\r\n }\r\n\r\n // Determine trailing zeros.\r\n for (len = xd.length; !xd[len - 1]; --len);\r\n\r\n // E.g. [4, 11, 15] becomes 4bf.\r\n for (i = 0, str = ''; i < len; i++) str += NUMERALS.charAt(xd[i]);\r\n\r\n // Add binary exponent suffix?\r\n if (isExp) {\r\n if (len > 1) {\r\n if (baseOut == 16 || baseOut == 8) {\r\n i = baseOut == 16 ? 4 : 3;\r\n for (--len; len % i; len++) str += '0';\r\n xd = convertBase(str, base, baseOut);\r\n for (len = xd.length; !xd[len - 1]; --len);\r\n\r\n // xd[0] will always be be 1\r\n for (i = 1, str = '1.'; i < len; i++) str += NUMERALS.charAt(xd[i]);\r\n } else {\r\n str = str.charAt(0) + '.' + str.slice(1);\r\n }\r\n }\r\n\r\n str = str + (e < 0 ? 'p' : 'p+') + e;\r\n } else if (e < 0) {\r\n for (; ++e;) str = '0' + str;\r\n str = '0.' + str;\r\n } else {\r\n if (++e > len) for (e -= len; e-- ;) str += '0';\r\n else if (e < len) str = str.slice(0, e) + '.' + str.slice(e);\r\n }\r\n }\r\n\r\n str = (baseOut == 16 ? '0x' : baseOut == 2 ? '0b' : baseOut == 8 ? '0o' : '') + str;\r\n }\r\n\r\n return x.s < 0 ? '-' + str : str;\r\n}\r\n\r\n\r\n// Does not strip trailing zeros.\r\nfunction truncate(arr, len) {\r\n if (arr.length > len) {\r\n arr.length = len;\r\n return true;\r\n }\r\n}\r\n\r\n\r\n// Decimal methods\r\n\r\n\r\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 * clamp\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 * sum\r\n * tan\r\n * tanh\r\n * trunc\r\n */\r\n\r\n\r\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 */\r\nfunction abs(x) {\r\n return new this(x).abs();\r\n}\r\n\r\n\r\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 */\r\nfunction acos(x) {\r\n return new this(x).acos();\r\n}\r\n\r\n\r\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 */\r\nfunction acosh(x) {\r\n return new this(x).acosh();\r\n}\r\n\r\n\r\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 */\r\nfunction add(x, y) {\r\n return new this(x).plus(y);\r\n}\r\n\r\n\r\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 */\r\nfunction asin(x) {\r\n return new this(x).asin();\r\n}\r\n\r\n\r\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 */\r\nfunction asinh(x) {\r\n return new this(x).asinh();\r\n}\r\n\r\n\r\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 */\r\nfunction atan(x) {\r\n return new this(x).atan();\r\n}\r\n\r\n\r\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 */\r\nfunction atanh(x) {\r\n return new this(x).atanh();\r\n}\r\n\r\n\r\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 */\r\nfunction atan2(y, x) {\r\n y = new this(y);\r\n x = new this(x);\r\n var r,\r\n pr = this.precision,\r\n rm = this.rounding,\r\n wpr = pr + 4;\r\n\r\n // Either NaN\r\n if (!y.s || !x.s) {\r\n r = new this(NaN);\r\n\r\n // Both ±Infinity\r\n } else if (!y.d && !x.d) {\r\n r = getPi(this, wpr, 1).times(x.s > 0 ? 0.25 : 0.75);\r\n r.s = y.s;\r\n\r\n // x is ±Infinity or y is ±0\r\n } else if (!x.d || y.isZero()) {\r\n r = x.s < 0 ? getPi(this, pr, rm) : new this(0);\r\n r.s = y.s;\r\n\r\n // y is ±Infinity or x is ±0\r\n } else if (!y.d || x.isZero()) {\r\n r = getPi(this, wpr, 1).times(0.5);\r\n r.s = y.s;\r\n\r\n // Both non-zero and finite\r\n } else if (x.s < 0) {\r\n this.precision = wpr;\r\n this.rounding = 1;\r\n r = this.atan(divide(y, x, wpr, 1));\r\n x = getPi(this, wpr, 1);\r\n this.precision = pr;\r\n this.rounding = rm;\r\n r = y.s < 0 ? r.minus(x) : r.plus(x);\r\n } else {\r\n r = this.atan(divide(y, x, wpr, 1));\r\n }\r\n\r\n return r;\r\n}\r\n\r\n\r\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 */\r\nfunction cbrt(x) {\r\n return new this(x).cbrt();\r\n}\r\n\r\n\r\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 */\r\nfunction ceil(x) {\r\n return finalise(x = new this(x), x.e + 1, 2);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` clamped to the range delineated by `min` and `max`.\r\n *\r\n * x {number|string|Decimal}\r\n * min {number|string|Decimal}\r\n * max {number|string|Decimal}\r\n *\r\n */\r\nfunction clamp(x, min, max) {\r\n return new this(x).clamp(min, max);\r\n}\r\n\r\n\r\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 */\r\nfunction config(obj) {\r\n if (!obj || typeof obj !== 'object') throw Error(decimalError + 'Object expected');\r\n var i, p, v,\r\n useDefaults = obj.defaults === true,\r\n ps = [\r\n 'precision', 1, MAX_DIGITS,\r\n 'rounding', 0, 8,\r\n 'toExpNeg', -EXP_LIMIT, 0,\r\n 'toExpPos', 0, EXP_LIMIT,\r\n 'maxE', 0, EXP_LIMIT,\r\n 'minE', -EXP_LIMIT, 0,\r\n 'modulo', 0, 9\r\n ];\r\n\r\n for (i = 0; i < ps.length; i += 3) {\r\n if (p = ps[i], useDefaults) this[p] = DEFAULTS[p];\r\n if ((v = obj[p]) !== void 0) {\r\n if (mathfloor(v) === v && v >= ps[i + 1] && v <= ps[i + 2]) this[p] = v;\r\n else throw Error(invalidArgument + p + ': ' + v);\r\n }\r\n }\r\n\r\n if (p = 'crypto', useDefaults) this[p] = DEFAULTS[p];\r\n if ((v = obj[p]) !== void 0) {\r\n if (v === true || v === false || v === 0 || v === 1) {\r\n if (v) {\r\n if (typeof crypto != 'undefined' && crypto &&\r\n (crypto.getRandomValues || crypto.randomBytes)) {\r\n this[p] = true;\r\n } else {\r\n throw Error(cryptoUnavailable);\r\n }\r\n } else {\r\n this[p] = false;\r\n }\r\n } else {\r\n throw Error(invalidArgument + p + ': ' + v);\r\n }\r\n }\r\n\r\n return this;\r\n}\r\n\r\n\r\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 */\r\nfunction cos(x) {\r\n return new this(x).cos();\r\n}\r\n\r\n\r\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 */\r\nfunction cosh(x) {\r\n return new this(x).cosh();\r\n}\r\n\r\n\r\n/*\r\n * Create and return a Decimal constructor with the same configuration properties as this Decimal\r\n * constructor.\r\n *\r\n */\r\nfunction clone(obj) {\r\n var i, p, ps;\r\n\r\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 */\r\n function Decimal(v) {\r\n var e, i, t,\r\n x = this;\r\n\r\n // Decimal called without new.\r\n if (!(x instanceof Decimal)) return new Decimal(v);\r\n\r\n // Retain a reference to this Decimal constructor, and shadow Decimal.prototype.constructor\r\n // which points to Object.\r\n x.constructor = Decimal;\r\n\r\n // Duplicate.\r\n if (isDecimalInstance(v)) {\r\n x.s = v.s;\r\n\r\n if (external) {\r\n if (!v.d || v.e > Decimal.maxE) {\r\n\r\n // Infinity.\r\n x.e = NaN;\r\n x.d = null;\r\n } else if (v.e < Decimal.minE) {\r\n\r\n // Zero.\r\n x.e = 0;\r\n x.d = [0];\r\n } else {\r\n x.e = v.e;\r\n x.d = v.d.slice();\r\n }\r\n } else {\r\n x.e = v.e;\r\n x.d = v.d ? v.d.slice() : v.d;\r\n }\r\n\r\n return;\r\n }\r\n\r\n t = typeof v;\r\n\r\n if (t === 'number') {\r\n if (v === 0) {\r\n x.s = 1 / v < 0 ? -1 : 1;\r\n x.e = 0;\r\n x.d = [0];\r\n return;\r\n }\r\n\r\n if (v < 0) {\r\n v = -v;\r\n x.s = -1;\r\n } else {\r\n x.s = 1;\r\n }\r\n\r\n // Fast path for small integers.\r\n if (v === ~~v && v < 1e7) {\r\n for (e = 0, i = v; i >= 10; i /= 10) e++;\r\n\r\n if (external) {\r\n if (e > Decimal.maxE) {\r\n x.e = NaN;\r\n x.d = null;\r\n } else if (e < Decimal.minE) {\r\n x.e = 0;\r\n x.d = [0];\r\n } else {\r\n x.e = e;\r\n x.d = [v];\r\n }\r\n } else {\r\n x.e = e;\r\n x.d = [v];\r\n }\r\n\r\n return;\r\n\r\n // Infinity, NaN.\r\n } else if (v * 0 !== 0) {\r\n if (!v) x.s = NaN;\r\n x.e = NaN;\r\n x.d = null;\r\n return;\r\n }\r\n\r\n return parseDecimal(x, v.toString());\r\n\r\n } else if (t !== 'string') {\r\n throw Error(invalidArgument + v);\r\n }\r\n\r\n // Minus sign?\r\n if ((i = v.charCodeAt(0)) === 45) {\r\n v = v.slice(1);\r\n x.s = -1;\r\n } else {\r\n // Plus sign?\r\n if (i === 43) v = v.slice(1);\r\n x.s = 1;\r\n }\r\n\r\n return isDecimal.test(v) ? parseDecimal(x, v) : parseOther(x, v);\r\n }\r\n\r\n Decimal.prototype = P;\r\n\r\n Decimal.ROUND_UP = 0;\r\n Decimal.ROUND_DOWN = 1;\r\n Decimal.ROUND_CEIL = 2;\r\n Decimal.ROUND_FLOOR = 3;\r\n Decimal.ROUND_HALF_UP = 4;\r\n Decimal.ROUND_HALF_DOWN = 5;\r\n Decimal.ROUND_HALF_EVEN = 6;\r\n Decimal.ROUND_HALF_CEIL = 7;\r\n Decimal.ROUND_HALF_FLOOR = 8;\r\n Decimal.EUCLID = 9;\r\n\r\n Decimal.config = Decimal.set = config;\r\n Decimal.clone = clone;\r\n Decimal.isDecimal = isDecimalInstance;\r\n\r\n Decimal.abs = abs;\r\n Decimal.acos = acos;\r\n Decimal.acosh = acosh; // ES6\r\n Decimal.add = add;\r\n Decimal.asin = asin;\r\n Decimal.asinh = asinh; // ES6\r\n Decimal.atan = atan;\r\n Decimal.atanh = atanh; // ES6\r\n Decimal.atan2 = atan2;\r\n Decimal.cbrt = cbrt; // ES6\r\n Decimal.ceil = ceil;\r\n Decimal.clamp = clamp;\r\n Decimal.cos = cos;\r\n Decimal.cosh = cosh; // ES6\r\n Decimal.div = div;\r\n Decimal.exp = exp;\r\n Decimal.floor = floor;\r\n Decimal.hypot = hypot; // ES6\r\n Decimal.ln = ln;\r\n Decimal.log = log;\r\n Decimal.log10 = log10; // ES6\r\n Decimal.log2 = log2; // ES6\r\n Decimal.max = max;\r\n Decimal.min = min;\r\n Decimal.mod = mod;\r\n Decimal.mul = mul;\r\n Decimal.pow = pow;\r\n Decimal.random = random;\r\n Decimal.round = round;\r\n Decimal.sign = sign; // ES6\r\n Decimal.sin = sin;\r\n Decimal.sinh = sinh; // ES6\r\n Decimal.sqrt = sqrt;\r\n Decimal.sub = sub;\r\n Decimal.sum = sum;\r\n Decimal.tan = tan;\r\n Decimal.tanh = tanh; // ES6\r\n Decimal.trunc = trunc; // ES6\r\n\r\n if (obj === void 0) obj = {};\r\n if (obj) {\r\n if (obj.defaults !== true) {\r\n ps = ['precision', 'rounding', 'toExpNeg', 'toExpPos', 'maxE', 'minE', 'modulo', 'crypto'];\r\n for (i = 0; i < ps.length;) if (!obj.hasOwnProperty(p = ps[i++])) obj[p] = this[p];\r\n }\r\n }\r\n\r\n Decimal.config(obj);\r\n\r\n return Decimal;\r\n}\r\n\r\n\r\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 */\r\nfunction div(x, y) {\r\n return new this(x).div(y);\r\n}\r\n\r\n\r\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 */\r\nfunction exp(x) {\r\n return new this(x).exp();\r\n}\r\n\r\n\r\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 */\r\nfunction floor(x) {\r\n return finalise(x = new this(x), x.e + 1, 3);\r\n}\r\n\r\n\r\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 * arguments {number|string|Decimal}\r\n *\r\n */\r\nfunction hypot() {\r\n var i, n,\r\n t = new this(0);\r\n\r\n external = false;\r\n\r\n for (i = 0; i < arguments.length;) {\r\n n = new this(arguments[i++]);\r\n if (!n.d) {\r\n if (n.s) {\r\n external = true;\r\n return new this(1 / 0);\r\n }\r\n t = n;\r\n } else if (t.d) {\r\n t = t.plus(n.times(n));\r\n }\r\n }\r\n\r\n external = true;\r\n\r\n return t.sqrt();\r\n}\r\n\r\n\r\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 */\r\nfunction isDecimalInstance(obj) {\r\n return obj instanceof Decimal || obj && obj.toStringTag === tag || false;\r\n}\r\n\r\n\r\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 */\r\nfunction ln(x) {\r\n return new this(x).ln();\r\n}\r\n\r\n\r\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 */\r\nfunction log(x, y) {\r\n return new this(x).log(y);\r\n}\r\n\r\n\r\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 */\r\nfunction log2(x) {\r\n return new this(x).log(2);\r\n}\r\n\r\n\r\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 */\r\nfunction log10(x) {\r\n return new this(x).log(10);\r\n}\r\n\r\n\r\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 */\r\nfunction max() {\r\n return maxOrMin(this, arguments, 'lt');\r\n}\r\n\r\n\r\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 */\r\nfunction min() {\r\n return maxOrMin(this, arguments, 'gt');\r\n}\r\n\r\n\r\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 */\r\nfunction mod(x, y) {\r\n return new this(x).mod(y);\r\n}\r\n\r\n\r\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 */\r\nfunction mul(x, y) {\r\n return new this(x).mul(y);\r\n}\r\n\r\n\r\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 */\r\nfunction pow(x, y) {\r\n return new this(x).pow(y);\r\n}\r\n\r\n\r\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 */\r\nfunction random(sd) {\r\n var d, e, k, n,\r\n i = 0,\r\n r = new this(1),\r\n rd = [];\r\n\r\n if (sd === void 0) sd = this.precision;\r\n else checkInt32(sd, 1, MAX_DIGITS);\r\n\r\n k = Math.ceil(sd / LOG_BASE);\r\n\r\n if (!this.crypto) {\r\n for (; i < k;) rd[i++] = Math.random() * 1e7 | 0;\r\n\r\n // Browsers supporting crypto.getRandomValues.\r\n } else if (crypto.getRandomValues) {\r\n d = crypto.getRandomValues(new Uint32Array(k));\r\n\r\n for (; i < k;) {\r\n n = d[i];\r\n\r\n // 0 <= n < 4294967296\r\n // Probability n >= 4.29e9, is 4967296 / 4294967296 = 0.00116 (1 in 865).\r\n if (n >= 4.29e9) {\r\n d[i] = crypto.getRandomValues(new Uint32Array(1))[0];\r\n } else {\r\n\r\n // 0 <= n <= 4289999999\r\n // 0 <= (n % 1e7) <= 9999999\r\n rd[i++] = n % 1e7;\r\n }\r\n }\r\n\r\n // Node.js supporting crypto.randomBytes.\r\n } else if (crypto.randomBytes) {\r\n\r\n // buffer\r\n d = crypto.randomBytes(k *= 4);\r\n\r\n for (; i < k;) {\r\n\r\n // 0 <= n < 2147483648\r\n n = d[i] + (d[i + 1] << 8) + (d[i + 2] << 16) + ((d[i + 3] & 0x7f) << 24);\r\n\r\n // Probability n >= 2.14e9, is 7483648 / 2147483648 = 0.0035 (1 in 286).\r\n if (n >= 2.14e9) {\r\n crypto.randomBytes(4).copy(d, i);\r\n } else {\r\n\r\n // 0 <= n <= 2139999999\r\n // 0 <= (n % 1e7) <= 9999999\r\n rd.push(n % 1e7);\r\n i += 4;\r\n }\r\n }\r\n\r\n i = k / 4;\r\n } else {\r\n throw Error(cryptoUnavailable);\r\n }\r\n\r\n k = rd[--i];\r\n sd %= LOG_BASE;\r\n\r\n // Convert trailing digits to zeros according to sd.\r\n if (k && sd) {\r\n n = mathpow(10, LOG_BASE - sd);\r\n rd[i] = (k / n | 0) * n;\r\n }\r\n\r\n // Remove trailing words which are zero.\r\n for (; rd[i] === 0; i--) rd.pop();\r\n\r\n // Zero?\r\n if (i < 0) {\r\n e = 0;\r\n rd = [0];\r\n } else {\r\n e = -1;\r\n\r\n // Remove leading words which are zero and adjust exponent accordingly.\r\n for (; rd[0] === 0; e -= LOG_BASE) rd.shift();\r\n\r\n // Count the digits of the first word of rd to determine leading zeros.\r\n for (k = 1, n = rd[0]; n >= 10; n /= 10) k++;\r\n\r\n // Adjust the exponent for leading zeros of the first word of rd.\r\n if (k < LOG_BASE) e -= LOG_BASE - k;\r\n }\r\n\r\n r.e = e;\r\n r.d = rd;\r\n\r\n return r;\r\n}\r\n\r\n\r\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 */\r\nfunction round(x) {\r\n return finalise(x = new this(x), x.e + 1, this.rounding);\r\n}\r\n\r\n\r\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 * x {number|string|Decimal}\r\n *\r\n */\r\nfunction sign(x) {\r\n x = new this(x);\r\n return x.d ? (x.d[0] ? x.s : 0 * x.s) : x.s || NaN;\r\n}\r\n\r\n\r\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 */\r\nfunction sin(x) {\r\n return new this(x).sin();\r\n}\r\n\r\n\r\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 */\r\nfunction sinh(x) {\r\n return new this(x).sinh();\r\n}\r\n\r\n\r\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 */\r\nfunction sqrt(x) {\r\n return new this(x).sqrt();\r\n}\r\n\r\n\r\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 */\r\nfunction sub(x, y) {\r\n return new this(x).sub(y);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the sum of the arguments, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * Only the result is rounded, not the intermediate calculations.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n */\r\nfunction sum() {\r\n var i = 0,\r\n args = arguments,\r\n x = new this(args[i]);\r\n\r\n external = false;\r\n for (; x.s && ++i < args.length;) x = x.plus(args[i]);\r\n external = true;\r\n\r\n return finalise(x, this.precision, this.rounding);\r\n}\r\n\r\n\r\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 */\r\nfunction tan(x) {\r\n return new this(x).tan();\r\n}\r\n\r\n\r\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 */\r\nfunction tanh(x) {\r\n return new this(x).tanh();\r\n}\r\n\r\n\r\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 */\r\nfunction trunc(x) {\r\n return finalise(x = new this(x), x.e + 1, 1);\r\n}\r\n\r\n\r\nP[Symbol.for('nodejs.util.inspect.custom')] = P.toString;\r\nP[Symbol.toStringTag] = 'Decimal';\r\n\r\n// Create and configure initial Decimal constructor.\r\nexport var Decimal = P.constructor = clone(DEFAULTS);\r\n\r\n// Create the internal constants from their string values.\r\nLN10 = new Decimal(LN10);\r\nPI = new Decimal(PI);\r\n\r\nexport default Decimal;\r\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.\nexport function isNumber(x) {\n return typeof x === 'number';\n}\nexport function isBigNumber(x) {\n if (!x || typeof x !== 'object' || typeof x.constructor !== 'function') {\n return false;\n }\n\n if (x.isBigNumber === true && typeof x.constructor.prototype === 'object' && x.constructor.prototype.isBigNumber === true) {\n return true;\n }\n\n if (typeof x.constructor.isDecimal === 'function' && x.constructor.isDecimal(x) === true) {\n return true;\n }\n\n return false;\n}\nexport function isComplex(x) {\n return x && typeof x === 'object' && Object.getPrototypeOf(x).isComplex === true || false;\n}\nexport function isFraction(x) {\n return x && typeof x === 'object' && Object.getPrototypeOf(x).isFraction === true || false;\n}\nexport function isUnit(x) {\n return x && x.constructor.prototype.isUnit === true || false;\n}\nexport function isString(x) {\n return typeof x === 'string';\n}\nexport var isArray = Array.isArray;\nexport function isMatrix(x) {\n return x && x.constructor.prototype.isMatrix === true || false;\n}\n/**\n * Test whether a value is a collection: an Array or Matrix\n * @param {*} x\n * @returns {boolean} isCollection\n */\n\nexport function isCollection(x) {\n return Array.isArray(x) || isMatrix(x);\n}\nexport function isDenseMatrix(x) {\n return x && x.isDenseMatrix && x.constructor.prototype.isMatrix === true || false;\n}\nexport function isSparseMatrix(x) {\n return x && x.isSparseMatrix && x.constructor.prototype.isMatrix === true || false;\n}\nexport function isRange(x) {\n return x && x.constructor.prototype.isRange === true || false;\n}\nexport function isIndex(x) {\n return x && x.constructor.prototype.isIndex === true || false;\n}\nexport function isBoolean(x) {\n return typeof x === 'boolean';\n}\nexport function isResultSet(x) {\n return x && x.constructor.prototype.isResultSet === true || false;\n}\nexport function isHelp(x) {\n return x && x.constructor.prototype.isHelp === true || false;\n}\nexport function isFunction(x) {\n return typeof x === 'function';\n}\nexport function isDate(x) {\n return x instanceof Date;\n}\nexport function isRegExp(x) {\n return x instanceof RegExp;\n}\nexport function isObject(x) {\n return !!(x && typeof x === 'object' && x.constructor === Object && !isComplex(x) && !isFraction(x));\n}\nexport function isNull(x) {\n return x === null;\n}\nexport function isUndefined(x) {\n return x === undefined;\n}\nexport function isAccessorNode(x) {\n return x && x.isAccessorNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isArrayNode(x) {\n return x && x.isArrayNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isAssignmentNode(x) {\n return x && x.isAssignmentNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isBlockNode(x) {\n return x && x.isBlockNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isConditionalNode(x) {\n return x && x.isConditionalNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isConstantNode(x) {\n return x && x.isConstantNode === true && x.constructor.prototype.isNode === true || false;\n}\n/* Very specialized: returns true for those nodes which in the numerator of\n a fraction means that the division in that fraction has precedence over implicit\n multiplication, e.g. -2/3 x parses as (-2/3) x and 3/4 x parses as (3/4) x but\n 6!/8 x parses as 6! / (8x). It is located here because it is shared between\n parse.js and OperatorNode.js (for parsing and printing, respectively).\n\n This should *not* be exported from mathjs, unlike most of the tests here.\n Its name does not start with 'is' to prevent utils/snapshot.js from thinking\n it should be exported.\n*/\n\nexport function rule2Node(node) {\n return isConstantNode(node) || isOperatorNode(node) && node.args.length === 1 && isConstantNode(node.args[0]) && '-+~'.includes(node.op);\n}\nexport function isFunctionAssignmentNode(x) {\n return x && x.isFunctionAssignmentNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isFunctionNode(x) {\n return x && x.isFunctionNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isIndexNode(x) {\n return x && x.isIndexNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isNode(x) {\n return x && x.isNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isObjectNode(x) {\n return x && x.isObjectNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isOperatorNode(x) {\n return x && x.isOperatorNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isParenthesisNode(x) {\n return x && x.isParenthesisNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isRangeNode(x) {\n return x && x.isRangeNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isSymbolNode(x) {\n return x && x.isSymbolNode === true && x.constructor.prototype.isNode === true || false;\n}\nexport function isChain(x) {\n return x && x.constructor.prototype.isChain === true || false;\n}\nexport function typeOf(x) {\n var t = typeof x;\n\n if (t === 'object') {\n if (x === null) return 'null';\n if (isBigNumber(x)) return 'BigNumber'; // Special: weird mashup with Decimal\n\n if (x.constructor && x.constructor.name) return x.constructor.name;\n return 'Object'; // just in case\n }\n\n return t; // can be 'string', 'number', 'boolean', 'function', 'bigint', ...\n}","import { isBigNumber } from './is.js';\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\nexport function clone(x) {\n var type = typeof x; // immutable primitive types\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 mapObject(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\nexport function mapObject(object, callback) {\n var clone = {};\n\n for (var key in object) {\n if (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\nexport function extend(a, b) {\n for (var prop in b) {\n if (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\nexport 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 // We check against prop not being in Object.prototype or Function.prototype\n // to prevent polluting for example Object.__proto__.\n if (hasOwnProperty(b, prop) && !(prop in Object.prototype) && !(prop in Function.prototype)) {\n if (b[prop] && b[prop].constructor === Object) {\n if (a[prop] === undefined) {\n a[prop] = {};\n }\n\n if (a[prop] && 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 * Compares values and functions strictly (ie. 2 is not the same as '2').\n * @param {Array | Object} a\n * @param {Array | Object} b\n * @returns {boolean}\n */\n\nexport function deepStrictEqual(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 (!deepStrictEqual(a[i], b[i])) {\n return false;\n }\n }\n\n return true;\n } else if (typeof a === 'function') {\n return a === b;\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 (!(prop in b) || !deepStrictEqual(a[prop], b[prop])) {\n return false;\n }\n }\n\n for (prop in b) {\n // noinspection JSUnfilteredForInLoop\n if (!(prop in a)) {\n return false;\n }\n }\n\n return true;\n } else {\n return a === b;\n }\n}\n/**\n * Recursively flatten a nested object.\n * @param {Object} nestedObject\n * @return {Object} Returns the flattened object\n */\n\nexport function deepFlatten(nestedObject) {\n var flattenedObject = {};\n\n _deepFlatten(nestedObject, flattenedObject);\n\n return flattenedObject;\n} // helper function used by deepFlatten\n\nfunction _deepFlatten(nestedObject, flattenedObject) {\n for (var prop in nestedObject) {\n if (hasOwnProperty(nestedObject, prop)) {\n var value = nestedObject[prop];\n\n if (typeof value === 'object' && value !== null) {\n _deepFlatten(value, flattenedObject);\n } else {\n flattenedObject[prop] = value;\n }\n }\n }\n}\n/**\n * Test whether the current JavaScript engine supports Object.defineProperty\n * @returns {boolean} returns true if supported\n */\n\n\nexport function canDefineProperty() {\n // test needed for broken IE8 implementation\n try {\n if (Object.defineProperty) {\n Object.defineProperty({}, 'x', {\n get: function get() {\n return null;\n }\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 *\n * @param {Object} object Object where to add the property\n * @param {string} prop Property name\n * @param {Function} valueResolver Function returning the property value. Called\n * without arguments.\n */\n\nexport function lazy(object, prop, valueResolver) {\n var _uninitialized = true;\n\n var _value;\n\n Object.defineProperty(object, prop, {\n get: function get() {\n if (_uninitialized) {\n _value = valueResolver();\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}\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 | string[]} path A dot separated string like 'name.space'\n * @return {Object} Returns the object at the end of the path\n */\n\nexport function traverse(object, path) {\n if (path && typeof path === 'string') {\n return traverse(object, path.split('.'));\n }\n\n var obj = object;\n\n if (path) {\n for (var i = 0; i < path.length; i++) {\n var key = path[i];\n\n if (!(key in obj)) {\n obj[key] = {};\n }\n\n obj = obj[key];\n }\n }\n\n return obj;\n}\n/**\n * A safe hasOwnProperty\n * @param {Object} object\n * @param {string} property\n */\n\nexport function hasOwnProperty(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\nexport function isLegacyFactory(object) {\n return object && typeof object.factory === 'function';\n}\n/**\n * Get a nested property from an object\n * @param {Object} object\n * @param {string | string[]} path\n * @returns {Object}\n */\n\nexport function get(object, path) {\n if (typeof path === 'string') {\n if (isPath(path)) {\n return get(object, path.split('.'));\n } else {\n return object[path];\n }\n }\n\n var child = object;\n\n for (var i = 0; i < path.length; i++) {\n var key = path[i];\n child = child ? child[key] : undefined;\n }\n\n return child;\n}\n/**\n * Set a nested property in an object\n * Mutates the object itself\n * If the path doesn't exist, it will be created\n * @param {Object} object\n * @param {string | string[]} path\n * @param {*} value\n * @returns {Object}\n */\n\nexport function set(object, path, value) {\n if (typeof path === 'string') {\n if (isPath(path)) {\n return set(object, path.split('.'), value);\n } else {\n object[path] = value;\n return object;\n }\n }\n\n var child = object;\n\n for (var i = 0; i < path.length - 1; i++) {\n var key = path[i];\n\n if (child[key] === undefined) {\n child[key] = {};\n }\n\n child = child[key];\n }\n\n if (path.length > 0) {\n var lastKey = path[path.length - 1];\n child[lastKey] = value;\n }\n\n return object;\n}\n/**\n * Create an object composed of the picked object properties\n * @param {Object} object\n * @param {string[]} properties\n * @param {function} [transform] Optional value to transform a value when picking it\n * @return {Object}\n */\n\nexport function pick(object, properties, transform) {\n var copy = {};\n\n for (var i = 0; i < properties.length; i++) {\n var key = properties[i];\n var value = get(object, key);\n\n if (value !== undefined) {\n set(copy, key, transform ? transform(value, key) : value);\n }\n }\n\n return copy;\n}\n/**\n * Shallow version of pick, creating an object composed of the picked object properties\n * but not for nested properties\n * @param {Object} object\n * @param {string[]} properties\n * @return {Object}\n */\n\nexport function pickShallow(object, properties) {\n var copy = {};\n\n for (var i = 0; i < properties.length; i++) {\n var key = properties[i];\n var value = object[key];\n\n if (value !== undefined) {\n copy[key] = value;\n }\n }\n\n return copy;\n}\nexport function values(object) {\n return Object.keys(object).map(key => object[key]);\n} // helper function to test whether a string contains a path like 'user.name'\n\nfunction isPath(str) {\n return str.indexOf('.') !== -1;\n}","import { contains } from './array.js';\nimport { pickShallow } from './object.js';\n/**\n * Create a factory function, which can be used to inject dependencies.\n *\n * The created functions are memoized, a consecutive call of the factory\n * with the exact same inputs will return the same function instance.\n * The memoized cache is exposed on `factory.cache` and can be cleared\n * if needed.\n *\n * Example:\n *\n * const name = 'log'\n * const dependencies = ['config', 'typed', 'divideScalar', 'Complex']\n *\n * export const createLog = factory(name, dependencies, ({ typed, config, divideScalar, Complex }) => {\n * // ... create the function log here and return it\n * }\n *\n * @param {string} name Name of the function to be created\n * @param {string[]} dependencies The names of all required dependencies\n * @param {function} create Callback function called with an object with all dependencies\n * @param {Object} [meta] Optional object with meta information that will be attached\n * to the created factory function as property `meta`.\n * @returns {function}\n */\n\nexport function factory(name, dependencies, create, meta) {\n function assertAndCreate(scope) {\n // we only pass the requested dependencies to the factory function\n // to prevent functions to rely on dependencies that are not explicitly\n // requested.\n var deps = pickShallow(scope, dependencies.map(stripOptionalNotation));\n assertDependencies(name, dependencies, scope);\n return create(deps);\n }\n\n assertAndCreate.isFactory = true;\n assertAndCreate.fn = name;\n assertAndCreate.dependencies = dependencies.slice().sort();\n\n if (meta) {\n assertAndCreate.meta = meta;\n }\n\n return assertAndCreate;\n}\n/**\n * Sort all factories such that when loading in order, the dependencies are resolved.\n *\n * @param {Array} factories\n * @returns {Array} Returns a new array with the sorted factories.\n */\n\nexport function sortFactories(factories) {\n var factoriesByName = {};\n factories.forEach(factory => {\n factoriesByName[factory.fn] = factory;\n });\n\n function containsDependency(factory, dependency) {\n // TODO: detect circular references\n if (isFactory(factory)) {\n if (contains(factory.dependencies, dependency.fn || dependency.name)) {\n return true;\n }\n\n if (factory.dependencies.some(d => containsDependency(factoriesByName[d], dependency))) {\n return true;\n }\n }\n\n return false;\n }\n\n var sorted = [];\n\n function addFactory(factory) {\n var index = 0;\n\n while (index < sorted.length && !containsDependency(sorted[index], factory)) {\n index++;\n }\n\n sorted.splice(index, 0, factory);\n } // sort regular factory functions\n\n\n factories.filter(isFactory).forEach(addFactory); // sort legacy factory functions AFTER the regular factory functions\n\n factories.filter(factory => !isFactory(factory)).forEach(addFactory);\n return sorted;\n} // TODO: comment or cleanup if unused in the end\n\nexport function create(factories) {\n var scope = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {};\n sortFactories(factories).forEach(factory => factory(scope));\n return scope;\n}\n/**\n * Test whether an object is a factory. This is the case when it has\n * properties name, dependencies, and a function create.\n * @param {*} obj\n * @returns {boolean}\n */\n\nexport function isFactory(obj) {\n return typeof obj === 'function' && typeof obj.fn === 'string' && Array.isArray(obj.dependencies);\n}\n/**\n * Assert that all dependencies of a list with dependencies are available in the provided scope.\n *\n * Will throw an exception when there are dependencies missing.\n *\n * @param {string} name Name for the function to be created. Used to generate a useful error message\n * @param {string[]} dependencies\n * @param {Object} scope\n */\n\nexport function assertDependencies(name, dependencies, scope) {\n var allDefined = dependencies.filter(dependency => !isOptionalDependency(dependency)) // filter optionals\n .every(dependency => scope[dependency] !== undefined);\n\n if (!allDefined) {\n var missingDependencies = dependencies.filter(dependency => scope[dependency] === undefined); // TODO: create a custom error class for this, a MathjsError or something like that\n\n throw new Error(\"Cannot create function \\\"\".concat(name, \"\\\", \") + \"some dependencies are missing: \".concat(missingDependencies.map(d => \"\\\"\".concat(d, \"\\\"\")).join(', '), \".\"));\n }\n}\nexport function isOptionalDependency(dependency) {\n return dependency && dependency[0] === '?';\n}\nexport function stripOptionalNotation(dependency) {\n return dependency && dependency[0] === '?' ? dependency.slice(1) : dependency;\n}","import Decimal from 'decimal.js';\nimport { factory } from '../../utils/factory.js';\nvar name = 'BigNumber';\nvar dependencies = ['?on', 'config'];\nexport var createBigNumberClass = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n on,\n config\n } = _ref;\n var BigNumber = Decimal.clone({\n precision: config.precision,\n modulo: Decimal.EUCLID\n });\n BigNumber.prototype = Object.create(BigNumber.prototype);\n /**\n * Attach type information\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 };\n\n if (on) {\n // listen for changed in the configuration, automatically apply changed precision\n on('config', function (curr, prev) {\n if (curr.precision !== prev.precision) {\n BigNumber.config({\n precision: curr.precision\n });\n }\n });\n }\n\n return BigNumber;\n}, {\n isClass: true\n});","'use strict';\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: , im: }\n * { arg: , abs: }\n * { phi: , r: }\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 * const c = new Complex('99.3+8i');\n * c.mul({r: 3, i: 9}).div(4.9).sub(3, 2);\n *\n */\n\n\nconst cosh = Math.cosh || function (x) {\n return Math.abs(x) < 1e-9 ? 1 - x : (Math.exp(x) + Math.exp(-x)) * 0.5;\n};\n\nconst sinh = Math.sinh || function (x) {\n return Math.abs(x) < 1e-9 ? x : (Math.exp(x) - Math.exp(-x)) * 0.5;\n};\n\n/**\n * Calculates cos(x) - 1 using Taylor series if x is small (-¼π ≤ x ≤ ¼π).\n *\n * @param {number} x\n * @returns {number} cos(x) - 1\n */\nconst cosm1 = function (x) {\n\n const b = Math.PI / 4;\n if (-b > x || x > b) {\n return Math.cos(x) - 1.0;\n }\n\n /* Calculate horner form of polynomial of taylor series in Q\n let fac = 1, alt = 1, pol = {};\n for (let i = 0; i <= 16; i++) {\n fac*= i || 1;\n if (i % 2 == 0) {\n pol[i] = new Fraction(1, alt * fac);\n alt = -alt;\n }\n }\n console.log(new Polynomial(pol).toHorner()); // (((((((1/20922789888000x^2-1/87178291200)x^2+1/479001600)x^2-1/3628800)x^2+1/40320)x^2-1/720)x^2+1/24)x^2-1/2)x^2+1\n */\n\n const xx = x * x;\n return xx * (\n xx * (\n xx * (\n xx * (\n xx * (\n xx * (\n xx * (\n xx / 20922789888000\n - 1 / 87178291200)\n + 1 / 479001600)\n - 1 / 3628800)\n + 1 / 40320)\n - 1 / 720)\n + 1 / 24)\n - 1 / 2);\n};\n\nconst hypot = function (x, y) {\n\n x = Math.abs(x);\n y = Math.abs(y);\n\n // Ensure `x` is the larger value\n if (x < y) [x, y] = [y, x];\n\n // If both are below the threshold, use straightforward Pythagoras\n if (x < 1e8) return Math.sqrt(x * x + y * y);\n\n // For larger values, scale to avoid overflow\n y /= x;\n return x * Math.sqrt(1 + y * y);\n};\n\nconst parser_exit = function () {\n throw SyntaxError('Invalid Param');\n};\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 */\nfunction logHypot(a, b) {\n\n const _a = Math.abs(a);\n const _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\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\n Math.log(a * a + b * b) / 2\n\n *\n *\n * 2. Try to use the non-overflowing pythagoras: (OVERALL ERROR: 8.889760039210159e-10)\n\n const fn = function(a, b) {\n a = Math.abs(a);\n b = Math.abs(b);\n let t = Math.min(a, b);\n a = Math.max(a, b);\n t = t / a;\n\n return Math.log(a) + Math.log(1 + t * t) / 2;\n };\n\n * 3. Abuse the identity cos(atan(y/x) = x / sqrt(x^2+y^2): (OVERALL ERROR: 3.4780178737037204e-10)\n\n Math.log(a / Math.cos(Math.atan2(b, a)))\n\n * 4. Use 3. and apply log rules: (OVERALL ERROR: 1.2014087502620896e-9)\n\n Math.log(a) - Math.log(Math.cos(Math.atan2(b, a)))\n\n */\n\n a = a * 0.5;\n b = b * 0.5;\n\n return 0.5 * Math.log(a * a + b * b) + Math.LN2;\n}\n\nconst P = { 're': 0, 'im': 0 };\nconst parse = function (a, b) {\n\n const z = P;\n\n if (a === undefined || a === null) {\n z['re'] =\n z['im'] = 0;\n } else if (b !== undefined) {\n z['re'] = a;\n z['im'] = b;\n } else\n switch (typeof a) {\n\n case 'object':\n\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 (!isFinite(a['abs']) && isFinite(a['arg'])) {\n return Complex['INFINITY'];\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 (!isFinite(a['r']) && isFinite(a['phi'])) {\n return Complex['INFINITY'];\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) { // Quick array check\n z['re'] = a[0];\n z['im'] = a[1];\n } else {\n parser_exit();\n }\n break;\n\n case 'string':\n\n z['im'] = /* void */\n z['re'] = 0;\n\n const tokens = a.replace(/_/g, '')\n .match(/\\d+\\.?\\d*e[+-]?\\d+|\\d+\\.?\\d*|\\.\\d+|./g);\n let plus = 1;\n let minus = 0;\n\n if (tokens === null) {\n parser_exit();\n }\n\n for (let i = 0; i < tokens.length; i++) {\n\n const 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\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 plus = minus = 0;\n\n } else {\n\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 plus = minus = 0;\n }\n }\n\n // Still something on the stack\n if (plus + minus > 0) {\n parser_exit();\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'])) {\n // 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/**\n * @constructor\n * @returns {Complex}\n */\nfunction Complex(a, b) {\n\n if (!(this instanceof Complex)) {\n return new Complex(a, b);\n }\n\n const z = parse(a, b);\n\n this['re'] = z['re'];\n this['im'] = z['im'];\n}\n\nComplex.prototype = {\n\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 () {\n\n const abs = hypot(this['re'], this['im']);\n\n return new Complex(\n this['re'] / abs,\n this['im'] / abs);\n },\n\n /**\n * Adds two complex numbers\n *\n * @returns {Complex}\n */\n 'add': function (a, b) {\n\n const z = parse(a, b);\n\n const tInfin = this['isInfinite']();\n const zInfin = !(isFinite(z['re']) && isFinite(z['im']));\n\n if (tInfin || zInfin) {\n\n if (tInfin && zInfin) {\n // Infinity + Infinity = NaN\n return Complex['NAN'];\n }\n // Infinity + z = Infinity { where z != Infinity }\n return Complex['INFINITY'];\n }\n\n return new Complex(\n this['re'] + z['re'],\n this['im'] + z['im']);\n },\n\n /**\n * Subtracts two complex numbers\n *\n * @returns {Complex}\n */\n 'sub': function (a, b) {\n\n const z = parse(a, b);\n\n const tInfin = this['isInfinite']();\n const zInfin = !(isFinite(z['re']) && isFinite(z['im']));\n\n if (tInfin || zInfin) {\n\n if (tInfin && zInfin) {\n // Infinity - Infinity = NaN\n return Complex['NAN'];\n }\n // Infinity - z = Infinity { where z != Infinity }\n return Complex['INFINITY'];\n }\n\n return new Complex(\n this['re'] - z['re'],\n this['im'] - z['im']);\n },\n\n /**\n * Multiplies two complex numbers\n *\n * @returns {Complex}\n */\n 'mul': function (a, b) {\n\n const z = parse(a, b);\n\n const tInfin = this['isInfinite']();\n const zInfin = !(isFinite(z['re']) && isFinite(z['im']));\n const tIsZero = this['re'] === 0 && this['im'] === 0;\n const zIsZero = z['re'] === 0 && z['im'] === 0;\n\n // Infinity * 0 = NaN\n if (tInfin && zIsZero || zInfin && tIsZero) {\n return Complex['NAN'];\n }\n\n // Infinity * z = Infinity { where z != 0 }\n if (tInfin || zInfin) {\n return Complex['INFINITY'];\n }\n\n // Shortcut for real values\n if (z['im'] === 0 && this['im'] === 0) {\n return new Complex(this['re'] * z['re'], 0);\n }\n\n return new Complex(\n this['re'] * z['re'] - this['im'] * z['im'],\n this['re'] * z['im'] + this['im'] * z['re']);\n },\n\n /**\n * Divides two complex numbers\n *\n * @returns {Complex}\n */\n 'div': function (a, b) {\n\n const z = parse(a, b);\n\n const tInfin = this['isInfinite']();\n const zInfin = !(isFinite(z['re']) && isFinite(z['im']));\n const tIsZero = this['re'] === 0 && this['im'] === 0;\n const zIsZero = z['re'] === 0 && z['im'] === 0;\n\n // 0 / 0 = NaN and Infinity / Infinity = NaN\n if (tIsZero && zIsZero || tInfin && zInfin) {\n return Complex['NAN'];\n }\n\n // Infinity / 0 = Infinity\n if (zIsZero || tInfin) {\n return Complex['INFINITY'];\n }\n\n // 0 / Infinity = 0\n if (tIsZero || zInfin) {\n return Complex['ZERO'];\n }\n\n if (0 === z['im']) {\n // Divisor is real\n return new Complex(this['re'] / z['re'], this['im'] / z['re']);\n }\n\n if (Math.abs(z['re']) < Math.abs(z['im'])) {\n\n const x = z['re'] / z['im'];\n const t = z['re'] * x + z['im'];\n\n return new Complex(\n (this['re'] * x + this['im']) / t,\n (this['im'] * x - this['re']) / t);\n\n } else {\n\n const x = z['im'] / z['re'];\n const t = z['im'] * x + z['re'];\n\n return new Complex(\n (this['re'] + this['im'] * x) / t,\n (this['im'] - this['re'] * x) / t);\n }\n },\n\n /**\n * Calculate the power of two complex numbers\n *\n * @returns {Complex}\n */\n 'pow': function (a, b) {\n\n const z = parse(a, b);\n\n const tIsZero = this['re'] === 0 && this['im'] === 0;\n const zIsZero = z['re'] === 0 && z['im'] === 0;\n\n if (zIsZero) {\n return Complex['ONE'];\n }\n\n // If the exponent is real\n if (z['im'] === 0) {\n\n if (this['im'] === 0 && this['re'] > 0) {\n\n return new Complex(Math.pow(this['re'], z['re']), 0);\n\n } else if (this['re'] === 0) { // If base is fully imaginary\n\n switch ((z['re'] % 4 + 4) % 4) {\n case 0:\n return new Complex(Math.pow(this['im'], z['re']), 0);\n case 1:\n return new Complex(0, Math.pow(this['im'], z['re']));\n case 2:\n return new Complex(-Math.pow(this['im'], z['re']), 0);\n case 3:\n return new Complex(0, -Math.pow(this['im'], z['re']));\n }\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 if (tIsZero && z['re'] > 0) { // Same behavior as Wolframalpha, Zero if real part is zero\n return Complex['ZERO'];\n }\n\n const arg = Math.atan2(this['im'], this['re']);\n const loh = logHypot(this['re'], this['im']);\n\n let re = Math.exp(z['re'] * loh - z['im'] * arg);\n let im = z['im'] * loh + z['re'] * arg;\n return new Complex(\n re * Math.cos(im),\n re * Math.sin(im));\n },\n\n /**\n * Calculate the complex square root\n *\n * @returns {Complex}\n */\n 'sqrt': function () {\n\n const a = this['re'];\n const b = this['im'];\n\n if (b === 0) {\n // Real number case\n if (a >= 0) {\n return new Complex(Math.sqrt(a), 0);\n } else {\n return new Complex(0, Math.sqrt(-a));\n }\n }\n\n const r = hypot(a, b);\n\n let re = Math.sqrt(0.5 * (r + Math.abs(a))); // sqrt(2x) / 2 = sqrt(x / 2)\n let im = Math.abs(b) / (2 * re);\n\n if (a >= 0) {\n return new Complex(re, b < 0 ? -im : im);\n } else {\n return new Complex(im, b < 0 ? -re : re);\n }\n },\n\n /**\n * Calculate the complex exponent\n *\n * @returns {Complex}\n */\n 'exp': function () {\n\n const er = Math.exp(this['re']);\n\n if (this['im'] === 0) {\n return new Complex(er, 0);\n }\n return new Complex(\n er * Math.cos(this['im']),\n er * 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 () {\n\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\n const a = this['re'];\n const b = this['im'];\n\n return new Complex(\n Math.expm1(a) * Math.cos(b) + cosm1(b),\n Math.exp(a) * Math.sin(b));\n },\n\n /**\n * Calculate the natural log\n *\n * @returns {Complex}\n */\n 'log': function () {\n\n const a = this['re'];\n const b = this['im'];\n\n if (b === 0 && a > 0) {\n return new Complex(Math.log(a), 0);\n }\n\n return new Complex(\n logHypot(a, b),\n Math.atan2(b, a));\n },\n\n /**\n * Calculate the magnitude of the complex number\n *\n * @returns {number}\n */\n 'abs': function () {\n\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 () {\n\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 () {\n\n // sin(z) = ( e^iz - e^-iz ) / 2i \n // = sin(a)cosh(b) + i cos(a)sinh(b)\n\n const a = this['re'];\n const b = this['im'];\n\n return new Complex(\n Math.sin(a) * cosh(b),\n Math.cos(a) * sinh(b));\n },\n\n /**\n * Calculate the cosine\n *\n * @returns {Complex}\n */\n 'cos': function () {\n\n // cos(z) = ( e^iz + e^-iz ) / 2 \n // = cos(a)cosh(b) - i sin(a)sinh(b)\n\n const a = this['re'];\n const b = this['im'];\n\n return new Complex(\n Math.cos(a) * cosh(b),\n -Math.sin(a) * sinh(b));\n },\n\n /**\n * Calculate the tangent\n *\n * @returns {Complex}\n */\n 'tan': function () {\n\n // tan(z) = sin(z) / cos(z) \n // = ( e^iz - e^-iz ) / ( i( e^iz + e^-iz ) )\n // = ( e^2iz - 1 ) / i( e^2iz + 1 )\n // = ( sin(2a) + i sinh(2b) ) / ( cos(2a) + cosh(2b) )\n\n const a = 2 * this['re'];\n const b = 2 * this['im'];\n const d = Math.cos(a) + cosh(b);\n\n return new Complex(\n Math.sin(a) / d,\n sinh(b) / d);\n },\n\n /**\n * Calculate the cotangent\n *\n * @returns {Complex}\n */\n 'cot': function () {\n\n // cot(c) = i(e^(ci) + e^(-ci)) / (e^(ci) - e^(-ci))\n\n const a = 2 * this['re'];\n const b = 2 * this['im'];\n const d = Math.cos(a) - cosh(b);\n\n return new Complex(\n -Math.sin(a) / d,\n sinh(b) / d);\n },\n\n /**\n * Calculate the secant\n *\n * @returns {Complex}\n */\n 'sec': function () {\n\n // sec(c) = 2 / (e^(ci) + e^(-ci))\n\n const a = this['re'];\n const b = this['im'];\n const d = 0.5 * cosh(2 * b) + 0.5 * Math.cos(2 * a);\n\n return new Complex(\n Math.cos(a) * cosh(b) / d,\n Math.sin(a) * sinh(b) / d);\n },\n\n /**\n * Calculate the cosecans\n *\n * @returns {Complex}\n */\n 'csc': function () {\n\n // csc(c) = 2i / (e^(ci) - e^(-ci))\n\n const a = this['re'];\n const b = this['im'];\n const d = 0.5 * cosh(2 * b) - 0.5 * Math.cos(2 * a);\n\n return new Complex(\n Math.sin(a) * cosh(b) / d,\n -Math.cos(a) * sinh(b) / d);\n },\n\n /**\n * Calculate the complex arcus sinus\n *\n * @returns {Complex}\n */\n 'asin': function () {\n\n // asin(c) = -i * log(ci + sqrt(1 - c^2))\n\n const a = this['re'];\n const b = this['im'];\n\n const t1 = new Complex(\n b * b - a * a + 1,\n -2 * a * b)['sqrt']();\n\n const t2 = new Complex(\n t1['re'] - b,\n t1['im'] + a)['log']();\n\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 () {\n\n // acos(c) = i * log(c - i * sqrt(1 - c^2))\n\n const a = this['re'];\n const b = this['im'];\n\n const t1 = new Complex(\n b * b - a * a + 1,\n -2 * a * b)['sqrt']();\n\n const t2 = new Complex(\n t1['re'] - b,\n t1['im'] + a)['log']();\n\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 () {\n\n // atan(c) = i / 2 log((i + x) / (i - x))\n\n const a = this['re'];\n const b = this['im'];\n\n if (a === 0) {\n\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 const d = a * a + (1.0 - b) * (1.0 - b);\n\n const t1 = new Complex(\n (1 - b * b - a * a) / d,\n -2 * a / d).log();\n\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 () {\n\n // acot(c) = i / 2 log((c - i) / (c + i))\n\n const a = this['re'];\n const b = this['im'];\n\n if (b === 0) {\n return new Complex(Math.atan2(1, a), 0);\n }\n\n const d = a * a + b * b;\n return (d !== 0)\n ? new Complex(\n a / d,\n -b / d).atan()\n : new Complex(\n (a !== 0) ? a / 0 : 0,\n (b !== 0) ? -b / 0 : 0).atan();\n },\n\n /**\n * Calculate the complex arcus secant\n *\n * @returns {Complex}\n */\n 'asec': function () {\n\n // asec(c) = -i * log(1 / c + sqrt(1 - i / c^2))\n\n const a = this['re'];\n const b = this['im'];\n\n if (a === 0 && b === 0) {\n return new Complex(0, Infinity);\n }\n\n const d = a * a + b * b;\n return (d !== 0)\n ? new Complex(\n a / d,\n -b / d).acos()\n : new Complex(\n (a !== 0) ? a / 0 : 0,\n (b !== 0) ? -b / 0 : 0).acos();\n },\n\n /**\n * Calculate the complex arcus cosecans\n *\n * @returns {Complex}\n */\n 'acsc': function () {\n\n // acsc(c) = -i * log(i / c + sqrt(1 - 1 / c^2))\n\n const a = this['re'];\n const b = this['im'];\n\n if (a === 0 && b === 0) {\n return new Complex(Math.PI / 2, Infinity);\n }\n\n const d = a * a + b * b;\n return (d !== 0)\n ? new Complex(\n a / d,\n -b / d).asin()\n : new Complex(\n (a !== 0) ? a / 0 : 0,\n (b !== 0) ? -b / 0 : 0).asin();\n },\n\n /**\n * Calculate the complex sinh\n *\n * @returns {Complex}\n */\n 'sinh': function () {\n\n // sinh(c) = (e^c - e^-c) / 2\n\n const a = this['re'];\n const b = this['im'];\n\n return new Complex(\n sinh(a) * Math.cos(b),\n cosh(a) * Math.sin(b));\n },\n\n /**\n * Calculate the complex cosh\n *\n * @returns {Complex}\n */\n 'cosh': function () {\n\n // cosh(c) = (e^c + e^-c) / 2\n\n const a = this['re'];\n const b = this['im'];\n\n return new Complex(\n cosh(a) * Math.cos(b),\n sinh(a) * Math.sin(b));\n },\n\n /**\n * Calculate the complex tanh\n *\n * @returns {Complex}\n */\n 'tanh': function () {\n\n // tanh(c) = (e^c - e^-c) / (e^c + e^-c)\n\n const a = 2 * this['re'];\n const b = 2 * this['im'];\n const d = cosh(a) + Math.cos(b);\n\n return new Complex(\n sinh(a) / d,\n Math.sin(b) / d);\n },\n\n /**\n * Calculate the complex coth\n *\n * @returns {Complex}\n */\n 'coth': function () {\n\n // coth(c) = (e^c + e^-c) / (e^c - e^-c)\n\n const a = 2 * this['re'];\n const b = 2 * this['im'];\n const d = cosh(a) - Math.cos(b);\n\n return new Complex(\n sinh(a) / d,\n -Math.sin(b) / d);\n },\n\n /**\n * Calculate the complex coth\n *\n * @returns {Complex}\n */\n 'csch': function () {\n\n // csch(c) = 2 / (e^c - e^-c)\n\n const a = this['re'];\n const b = this['im'];\n const d = Math.cos(2 * b) - cosh(2 * a);\n\n return new Complex(\n -2 * sinh(a) * Math.cos(b) / d,\n 2 * cosh(a) * Math.sin(b) / d);\n },\n\n /**\n * Calculate the complex sech\n *\n * @returns {Complex}\n */\n 'sech': function () {\n\n // sech(c) = 2 / (e^c + e^-c)\n\n const a = this['re'];\n const b = this['im'];\n const d = Math.cos(2 * b) + cosh(2 * a);\n\n return new Complex(\n 2 * cosh(a) * Math.cos(b) / d,\n -2 * sinh(a) * Math.sin(b) / d);\n },\n\n /**\n * Calculate the complex asinh\n *\n * @returns {Complex}\n */\n 'asinh': function () {\n\n // asinh(c) = log(c + sqrt(c^2 + 1))\n\n let tmp = this['im'];\n this['im'] = -this['re'];\n this['re'] = tmp;\n const res = this['asin']();\n\n this['re'] = -this['im'];\n this['im'] = tmp;\n tmp = res['re'];\n\n res['re'] = -res['im'];\n res['im'] = tmp;\n return res;\n },\n\n /**\n * Calculate the complex acosh\n *\n * @returns {Complex}\n */\n 'acosh': function () {\n\n // acosh(c) = log(c + sqrt(c^2 - 1))\n\n const res = this['acos']();\n if (res['im'] <= 0) {\n const tmp = res['re'];\n res['re'] = -res['im'];\n res['im'] = tmp;\n } else {\n const tmp = res['im'];\n res['im'] = -res['re'];\n res['re'] = tmp;\n }\n return res;\n },\n\n /**\n * Calculate the complex atanh\n *\n * @returns {Complex}\n */\n 'atanh': function () {\n\n // atanh(c) = log((1+c) / (1-c)) / 2\n\n const a = this['re'];\n const b = this['im'];\n\n const noIM = a > 1 && b === 0;\n const oneMinus = 1 - a;\n const onePlus = 1 + a;\n const d = oneMinus * oneMinus + b * b;\n\n const x = (d !== 0)\n ? new Complex(\n (onePlus * oneMinus - b * b) / d,\n (b * oneMinus + onePlus * b) / d)\n : new Complex(\n (a !== -1) ? (a / 0) : 0,\n (b !== 0) ? (b / 0) : 0);\n\n const temp = x['re'];\n x['re'] = logHypot(x['re'], x['im']) / 2;\n x['im'] = Math.atan2(x['im'], temp) / 2;\n if (noIM) {\n x['im'] = -x['im'];\n }\n return x;\n },\n\n /**\n * Calculate the complex acoth\n *\n * @returns {Complex}\n */\n 'acoth': function () {\n\n // acoth(c) = log((c+1) / (c-1)) / 2\n\n const a = this['re'];\n const b = this['im'];\n\n if (a === 0 && b === 0) {\n return new Complex(0, Math.PI / 2);\n }\n\n const d = a * a + b * b;\n return (d !== 0)\n ? new Complex(\n a / d,\n -b / d).atanh()\n : new Complex(\n (a !== 0) ? a / 0 : 0,\n (b !== 0) ? -b / 0 : 0).atanh();\n },\n\n /**\n * Calculate the complex acsch\n *\n * @returns {Complex}\n */\n 'acsch': function () {\n\n // acsch(c) = log((1+sqrt(1+c^2))/c)\n\n const a = this['re'];\n const b = this['im'];\n\n if (b === 0) {\n\n return new Complex(\n (a !== 0)\n ? Math.log(a + Math.sqrt(a * a + 1))\n : Infinity, 0);\n }\n\n const d = a * a + b * b;\n return (d !== 0)\n ? new Complex(\n a / d,\n -b / d).asinh()\n : new Complex(\n (a !== 0) ? a / 0 : 0,\n (b !== 0) ? -b / 0 : 0).asinh();\n },\n\n /**\n * Calculate the complex asech\n *\n * @returns {Complex}\n */\n 'asech': function () {\n\n // asech(c) = log((1+sqrt(1-c^2))/c)\n\n const a = this['re'];\n const b = this['im'];\n\n if (this['isZero']()) {\n return Complex['INFINITY'];\n }\n\n const d = a * a + b * b;\n return (d !== 0)\n ? new Complex(\n a / d,\n -b / d).acosh()\n : new Complex(\n (a !== 0) ? a / 0 : 0,\n (b !== 0) ? -b / 0 : 0).acosh();\n },\n\n /**\n * Calculate the complex inverse 1/z\n *\n * @returns {Complex}\n */\n 'inverse': function () {\n\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 const a = this['re'];\n const b = this['im'];\n\n const d = a * a + b * b;\n\n return new Complex(a / d, -b / d);\n },\n\n /**\n * Returns the complex conjugate\n *\n * @returns {Complex}\n */\n 'conjugate': function () {\n\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 () {\n\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 (places) {\n\n places = Math.pow(10, places || 0);\n\n return new Complex(\n Math.ceil(this['re'] * places) / places,\n Math.ceil(this['im'] * places) / places);\n },\n\n /**\n * Floors the actual complex number\n *\n * @returns {Complex}\n */\n 'floor': function (places) {\n\n places = Math.pow(10, places || 0);\n\n return new Complex(\n Math.floor(this['re'] * places) / places,\n Math.floor(this['im'] * places) / places);\n },\n\n /**\n * Ceils the actual complex number\n *\n * @returns {Complex}\n */\n 'round': function (places) {\n\n places = Math.pow(10, places || 0);\n\n return new Complex(\n Math.round(this['re'] * places) / places,\n 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 (a, b) {\n\n const z = parse(a, b);\n\n return Math.abs(z['re'] - this['re']) <= Complex['EPSILON'] &&\n Math.abs(z['im'] - this['im']) <= Complex['EPSILON'];\n },\n\n /**\n * Clones the actual object\n *\n * @returns {Complex}\n */\n 'clone': function () {\n\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 () {\n\n let a = this['re'];\n let b = this['im'];\n let ret = \"\";\n\n if (this['isNaN']()) {\n return 'NaN';\n }\n\n if (this['isInfinite']()) {\n return 'Infinity';\n }\n\n if (Math.abs(a) < Complex['EPSILON']) {\n a = 0;\n }\n\n if (Math.abs(b) < Complex['EPSILON']) {\n b = 0;\n }\n\n // If is real number\n if (b === 0) {\n return ret + a;\n }\n\n if (a !== 0) {\n ret += a;\n ret += \" \";\n if (b < 0) {\n b = -b;\n ret += \"-\";\n } else {\n ret += \"+\";\n }\n ret += \" \";\n } else if (b < 0) {\n b = -b;\n ret += \"-\";\n }\n\n if (1 !== b) { // b is the absolute imaginary part\n ret += b;\n }\n return ret + \"i\";\n },\n\n /**\n * Returns the actual number as a vector\n *\n * @returns {Array}\n */\n 'toVector': function () {\n\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 () {\n\n if (this['im'] === 0) {\n return this['re'];\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 () {\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 () {\n return this['im'] === 0 && this['re'] === 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 () {\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 () {\n return !this['isFinite']();\n }\n};\n\nComplex['ZERO'] = new Complex(0, 0);\nComplex['ONE'] = new Complex(1, 0);\nComplex['I'] = new Complex(0, 1);\nComplex['PI'] = new Complex(Math.PI, 0);\nComplex['E'] = new Complex(Math.E, 0);\nComplex['INFINITY'] = new Complex(Infinity, Infinity);\nComplex['NAN'] = new Complex(NaN, NaN);\nComplex['EPSILON'] = 1e-15;\nexport {\n Complex as default, Complex\n};\n","import { isNumber } from './is.js';\n/**\n * @typedef {{sign: '+' | '-' | '', coefficients: number[], exponent: number}} SplitValue\n */\n\n/**\n * Check if a number is integer\n * @param {number | boolean} value\n * @return {boolean} isInteger\n */\n\nexport function isInteger(value) {\n if (typeof value === 'boolean') {\n return true;\n }\n\n return isFinite(value) ? value === Math.round(value) : false;\n}\n/**\n * Calculate the sign of a number\n * @param {number} x\n * @returns {number}\n */\n\nexport var sign = /* #__PURE__ */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 * Calculate the base-2 logarithm of a number\n * @param {number} x\n * @returns {number}\n */\n\nexport var log2 = /* #__PURE__ */Math.log2 || function log2(x) {\n return Math.log(x) / Math.LN2;\n};\n/**\n * Calculate the base-10 logarithm of a number\n * @param {number} x\n * @returns {number}\n */\n\nexport var log10 = /* #__PURE__ */Math.log10 || function log10(x) {\n return Math.log(x) / Math.LN10;\n};\n/**\n * Calculate the natural logarithm of a number + 1\n * @param {number} x\n * @returns {number}\n */\n\nexport var log1p = /* #__PURE__ */Math.log1p || function (x) {\n return Math.log(x + 1);\n};\n/**\n * Calculate cubic root 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} Returns the cubic root of x\n */\n\nexport var cbrt = /* #__PURE__ */Math.cbrt || function cbrt(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 https://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/**\n * Calculates exponentiation minus 1\n * @param {number} x\n * @return {number} res\n */\n\nexport var expm1 = /* #__PURE__ */Math.expm1 || 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 * Formats a number in a given base\n * @param {number} n\n * @param {number} base\n * @param {number} size\n * @returns {string}\n */\n\nfunction formatNumberToBase(n, base, size) {\n var prefixes = {\n 2: '0b',\n 8: '0o',\n 16: '0x'\n };\n var prefix = prefixes[base];\n var suffix = '';\n\n if (size) {\n if (size < 1) {\n throw new Error('size must be in greater than 0');\n }\n\n if (!isInteger(size)) {\n throw new Error('size must be an integer');\n }\n\n if (n > 2 ** (size - 1) - 1 || n < -(2 ** (size - 1))) {\n throw new Error(\"Value must be in range [-2^\".concat(size - 1, \", 2^\").concat(size - 1, \"-1]\"));\n }\n\n if (!isInteger(n)) {\n throw new Error('Value must be an integer');\n }\n\n if (n < 0) {\n n = n + 2 ** size;\n }\n\n suffix = \"i\".concat(size);\n }\n\n var sign = '';\n\n if (n < 0) {\n n = -n;\n sign = '-';\n }\n\n return \"\".concat(sign).concat(prefix).concat(n.toString(base)).concat(suffix);\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 * 'bin', 'oct, or\n * 'hex' Format the number using binary, octal,\n * or hexadecimal notation.\n * For example '0b1101' and '0x10fe'.\n * {number} wordSize The word size in bits to use for formatting\n * in binary, octal, or hexadecimal notation.\n * To be used only with 'bin', 'oct', or 'hex'\n * values for 'notation' option. When this option\n * is defined the value is formatted as a signed\n * twos complement integer of the given word size\n * and the size suffix is appended to the output.\n * For example\n * format(-1, {notation: 'hex', wordSize: 8}) === '0xffi8'.\n * Default value is undefined.\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\nexport function format(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 var wordSize;\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 (isNumber(options)) {\n precision = options;\n } else if (isNumber(options.precision)) {\n precision = options.precision;\n }\n\n if (options.wordSize) {\n wordSize = options.wordSize;\n\n if (typeof wordSize !== 'number') {\n throw new Error('Option \"wordSize\" must be a number');\n }\n }\n } // handle the various notations\n\n\n switch (notation) {\n case 'fixed':\n return toFixed(value, precision);\n\n case 'exponential':\n return toExponential(value, precision);\n\n case 'engineering':\n return toEngineering(value, precision);\n\n case 'bin':\n return formatNumberToBase(value, 2, wordSize);\n\n case 'oct':\n return formatNumberToBase(value, 8, wordSize);\n\n case 'hex':\n return formatNumberToBase(value, 16, wordSize);\n\n case 'auto':\n // remove trailing zeros after the decimal point\n return toPrecision(value, precision, options && options).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\", \"fixed\", \"bin\", \"oct\", or \"hex.');\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\nexport function splitNumber(value) {\n // parse the input value\n var match = String(value).toLowerCase().match(/^(-?)(\\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,\n coefficients,\n 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\nexport function toEngineering(value, precision) {\n if (isNaN(value) || !isFinite(value)) {\n return String(value);\n }\n\n var split = splitNumber(value);\n var rounded = roundDigits(split, 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 (isNumber(precision)) {\n // add zeroes to give correct sig figs\n while (precision > c.length || e - newExp + 1 > c.length) {\n c.push(0);\n }\n } else {\n // concatenate coefficients with necessary zeros\n // add zeros if necessary (for example: 1e+8 -> 100e+6)\n var missingZeros = Math.abs(e - newExp) - (c.length - 1);\n\n for (var i = 0; i < missingZeros; i++) {\n c.push(0);\n }\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 expDiff--;\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 = 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\nexport function toFixed(value, precision) {\n if (isNaN(value) || !isFinite(value)) {\n return String(value);\n }\n\n var splitValue = splitNumber(value);\n var rounded = typeof precision === 'number' ? 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\nexport function toExponential(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 = splitNumber(value);\n var rounded = precision ? 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\nexport function toPrecision(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 = splitNumber(value);\n var rounded = precision ? roundDigits(split, precision) : split;\n\n if (rounded.exponent < lowerExp || rounded.exponent >= upperExp) {\n // exponential notation\n return toExponential(value, precision);\n } else {\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\nexport function roundDigits(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\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\nexport function digits(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\nexport var 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\nexport 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 === 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 < 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}\n/**\n * Calculate the hyperbolic arccos of a number\n * @param {number} x\n * @return {number}\n */\n\nexport var acosh = Math.acosh || function (x) {\n return Math.log(Math.sqrt(x * x - 1) + x);\n};\nexport var asinh = Math.asinh || function (x) {\n return Math.log(Math.sqrt(x * x + 1) + x);\n};\n/**\n * Calculate the hyperbolic arctangent of a number\n * @param {number} x\n * @return {number}\n */\n\nexport var atanh = Math.atanh || function (x) {\n return Math.log((1 + x) / (1 - x)) / 2;\n};\n/**\n * Calculate the hyperbolic cosine of a number\n * @param {number} x\n * @returns {number}\n */\n\nexport var cosh = Math.cosh || function (x) {\n return (Math.exp(x) + Math.exp(-x)) / 2;\n};\n/**\n * Calculate the hyperbolic sine of a number\n * @param {number} x\n * @returns {number}\n */\n\nexport var sinh = Math.sinh || function (x) {\n return (Math.exp(x) - Math.exp(-x)) / 2;\n};\n/**\n * Calculate the hyperbolic tangent of a number\n * @param {number} x\n * @returns {number}\n */\n\nexport var tanh = Math.tanh || function (x) {\n var e = Math.exp(2 * x);\n return (e - 1) / (e + 1);\n};\n/**\n * Returns a value with the magnitude of x and the sign of y.\n * @param {number} x\n * @param {number} y\n * @returns {number}\n */\n\nexport function copysign(x, y) {\n var signx = x > 0 ? true : x < 0 ? false : 1 / x === Infinity;\n var signy = y > 0 ? true : y < 0 ? false : 1 / y === Infinity;\n return signx ^ signy ? -x : x;\n}","import Complex from 'complex.js';\nimport { format } from '../../utils/number.js';\nimport { isNumber, isUnit } from '../../utils/is.js';\nimport { factory } from '../../utils/factory.js';\nvar name = 'Complex';\nvar dependencies = [];\nexport var createComplexClass = /* #__PURE__ */factory(name, dependencies, () => {\n /**\n * Attach type information\n */\n Object.defineProperty(Complex, 'name', {\n value: 'Complex'\n });\n Complex.prototype.constructor = Complex;\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 {\n var arg = arguments[0];\n\n if (typeof arg === 'object') {\n return Complex(arg);\n } else {\n throw new TypeError('Input has to be an object with r and phi keys.');\n }\n }\n\n case 2:\n {\n var r = arguments[0];\n var phi = arguments[1];\n\n if (isNumber(r)) {\n if (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,\n 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\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 };\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\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 isClass: true\n});","// (c) 2018, Mariusz Nowak\n// SPDX-License-Identifier: ISC\n// Derived from https://github.com/medikoo/lru-queue\nexport function lruQueue(limit) {\n var size = 0;\n var base = 1;\n var queue = Object.create(null);\n var map = Object.create(null);\n var index = 0;\n\n var del = function del(id) {\n var oldIndex = map[id];\n if (!oldIndex) return;\n delete queue[oldIndex];\n delete map[id];\n --size;\n if (base !== oldIndex) return;\n\n if (!size) {\n index = 0;\n base = 1;\n return;\n }\n\n while (!hasOwnProperty.call(queue, ++base)) {\n continue;\n }\n };\n\n limit = Math.abs(limit);\n return {\n hit: function hit(id) {\n var oldIndex = map[id];\n var nuIndex = ++index;\n queue[nuIndex] = id;\n map[id] = nuIndex;\n\n if (!oldIndex) {\n ++size;\n if (size <= limit) return undefined;\n id = queue[base];\n del(id);\n return id;\n }\n\n delete queue[oldIndex];\n if (base !== oldIndex) return undefined;\n\n while (!hasOwnProperty.call(queue, ++base)) {\n continue;\n }\n\n return undefined;\n },\n delete: del,\n clear: function clear() {\n size = index = 0;\n base = 1;\n queue = Object.create(null);\n map = Object.create(null);\n }\n };\n}","// function utils\nimport { lruQueue } from './lruQueue.js';\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 {Object} [options]\n * @param {function(args: Array): string} [options.hasher]\n * A custom hash builder. Is JSON.stringify by default.\n * @param {number | undefined} [options.limit]\n * Maximum number of values that may be cached. Undefined indicates\n * unlimited (default)\n * @return {function} Returns the memoized function\n */\n\nexport function memoize(fn) {\n var {\n hasher,\n limit\n } = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {};\n limit = limit == null ? Number.POSITIVE_INFINITY : limit;\n hasher = hasher == null ? JSON.stringify : hasher;\n return function memoize() {\n if (typeof memoize.cache !== 'object') {\n memoize.cache = {\n values: new Map(),\n lru: lruQueue(limit || Number.POSITIVE_INFINITY)\n };\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(args);\n\n if (memoize.cache.values.has(hash)) {\n memoize.cache.lru.hit(hash);\n return memoize.cache.values.get(hash);\n }\n\n var newVal = fn.apply(fn, args);\n memoize.cache.values.set(hash, newVal);\n memoize.cache.values.delete(memoize.cache.lru.hit(hash));\n return newVal;\n };\n}\n/**\n * Memoize a given function by caching all results and the arguments,\n * and comparing against the arguments of previous results before\n * executing again.\n * This is less performant than `memoize` which calculates a hash,\n * which is very fast to compare. Use `memoizeCompare` only when it is\n * not possible to create a unique serializable hash from the function\n * arguments.\n * The isEqual function must compare two sets of arguments\n * and return true when equal (can be a deep equality check for example).\n * @param {function} fn\n * @param {function(a: *, b: *) : boolean} isEqual\n * @returns {function}\n */\n\nexport function memoizeCompare(fn, isEqual) {\n var memoize = function memoize() {\n var args = [];\n\n for (var i = 0; i < arguments.length; i++) {\n args[i] = arguments[i];\n }\n\n for (var c = 0; c < memoize.cache.length; c++) {\n var cached = memoize.cache[c];\n\n if (isEqual(args, cached.args)) {\n // TODO: move this cache entry to the top so recently used entries move up?\n return cached.res;\n }\n }\n\n var res = fn.apply(fn, args);\n memoize.cache.unshift({\n args,\n res\n });\n return res;\n };\n\n memoize.cache = [];\n return memoize;\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\nexport function maxArgumentCount(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}","import { memoize } from '../function.js';\n/**\n * Calculate BigNumber e\n * @param {function} BigNumber BigNumber constructor\n * @returns {BigNumber} Returns e\n */\n\nexport var createBigNumberE = memoize(function (BigNumber) {\n return new BigNumber(1).exp();\n}, {\n hasher\n});\n/**\n * Calculate BigNumber golden ratio, phi = (1+sqrt(5))/2\n * @param {function} BigNumber BigNumber constructor\n * @returns {BigNumber} Returns phi\n */\n\nexport var createBigNumberPhi = memoize(function (BigNumber) {\n return new BigNumber(1).plus(new BigNumber(5).sqrt()).div(2);\n}, {\n hasher\n});\n/**\n * Calculate BigNumber pi.\n * @param {function} BigNumber BigNumber constructor\n * @returns {BigNumber} Returns pi\n */\n\nexport var createBigNumberPi = memoize(function (BigNumber) {\n return BigNumber.acos(-1);\n}, {\n hasher\n});\n/**\n * Calculate BigNumber tau, tau = 2 * pi\n * @param {function} BigNumber BigNumber constructor\n * @returns {BigNumber} Returns tau\n */\n\nexport var createBigNumberTau = memoize(function (BigNumber) {\n return createBigNumberPi(BigNumber).times(2);\n}, {\n hasher\n});\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}","import { factory } from '../../utils/factory.js'; // Source: https://en.wikipedia.org/wiki/Physical_constant\n// Universal constants\n\nexport var createSpeedOfLight = /* #__PURE__ */unitFactory('speedOfLight', '299792458', 'm s^-1');\nexport var createGravitationConstant = /* #__PURE__ */unitFactory('gravitationConstant', '6.67430e-11', 'm^3 kg^-1 s^-2');\nexport var createPlanckConstant = /* #__PURE__ */unitFactory('planckConstant', '6.62607015e-34', 'J s');\nexport var createReducedPlanckConstant = /* #__PURE__ */unitFactory('reducedPlanckConstant', '1.0545718176461565e-34', 'J s'); // Electromagnetic constants\n\nexport var createMagneticConstant = /* #__PURE__ */unitFactory('magneticConstant', '1.25663706212e-6', 'N A^-2');\nexport var createElectricConstant = /* #__PURE__ */unitFactory('electricConstant', '8.8541878128e-12', 'F m^-1');\nexport var createVacuumImpedance = /* #__PURE__ */unitFactory('vacuumImpedance', '376.730313667', 'ohm');\nexport var createCoulomb = /* #__PURE__ */unitFactory('coulomb', '8.987551792261171e9', 'N m^2 C^-2');\nexport var createElementaryCharge = /* #__PURE__ */unitFactory('elementaryCharge', '1.602176634e-19', 'C');\nexport var createBohrMagneton = /* #__PURE__ */unitFactory('bohrMagneton', '9.2740100783e-24', 'J T^-1');\nexport var createConductanceQuantum = /* #__PURE__ */unitFactory('conductanceQuantum', '7.748091729863649e-5', 'S');\nexport var createInverseConductanceQuantum = /* #__PURE__ */unitFactory('inverseConductanceQuantum', '12906.403729652257', 'ohm');\nexport var createMagneticFluxQuantum = /* #__PURE__ */unitFactory('magneticFluxQuantum', '2.0678338484619295e-15', 'Wb');\nexport var createNuclearMagneton = /* #__PURE__ */unitFactory('nuclearMagneton', '5.0507837461e-27', 'J T^-1');\nexport var createKlitzing = /* #__PURE__ */unitFactory('klitzing', '25812.807459304513', 'ohm');\nexport var createJosephson = /* #__PURE__ */unitFactory('josephson', '4.835978484169836e14 Hz V', 'Hz V^-1'); // TODO: support for Hz needed\n// Atomic and nuclear constants\n\nexport var createBohrRadius = /* #__PURE__ */unitFactory('bohrRadius', '5.29177210903e-11', 'm');\nexport var createClassicalElectronRadius = /* #__PURE__ */unitFactory('classicalElectronRadius', '2.8179403262e-15', 'm');\nexport var createElectronMass = /* #__PURE__ */unitFactory('electronMass', '9.1093837015e-31', 'kg');\nexport var createFermiCoupling = /* #__PURE__ */unitFactory('fermiCoupling', '1.1663787e-5', 'GeV^-2');\nexport var createFineStructure = numberFactory('fineStructure', 7.2973525693e-3);\nexport var createHartreeEnergy = /* #__PURE__ */unitFactory('hartreeEnergy', '4.3597447222071e-18', 'J');\nexport var createProtonMass = /* #__PURE__ */unitFactory('protonMass', '1.67262192369e-27', 'kg');\nexport var createDeuteronMass = /* #__PURE__ */unitFactory('deuteronMass', '3.3435830926e-27', 'kg');\nexport var createNeutronMass = /* #__PURE__ */unitFactory('neutronMass', '1.6749271613e-27', 'kg');\nexport var createQuantumOfCirculation = /* #__PURE__ */unitFactory('quantumOfCirculation', '3.6369475516e-4', 'm^2 s^-1');\nexport var createRydberg = /* #__PURE__ */unitFactory('rydberg', '10973731.568160', 'm^-1');\nexport var createThomsonCrossSection = /* #__PURE__ */unitFactory('thomsonCrossSection', '6.6524587321e-29', 'm^2');\nexport var createWeakMixingAngle = numberFactory('weakMixingAngle', 0.22290);\nexport var createEfimovFactor = numberFactory('efimovFactor', 22.7); // Physico-chemical constants\n\nexport var createAtomicMass = /* #__PURE__ */unitFactory('atomicMass', '1.66053906660e-27', 'kg');\nexport var createAvogadro = /* #__PURE__ */unitFactory('avogadro', '6.02214076e23', 'mol^-1');\nexport var createBoltzmann = /* #__PURE__ */unitFactory('boltzmann', '1.380649e-23', 'J K^-1');\nexport var createFaraday = /* #__PURE__ */unitFactory('faraday', '96485.33212331001', 'C mol^-1');\nexport var createFirstRadiation = /* #__PURE__ */unitFactory('firstRadiation', '3.7417718521927573e-16', 'W m^2'); // export const createSpectralRadiance = /* #__PURE__ */ unitFactory('spectralRadiance', '1.1910429723971881e-16', 'W m^2 sr^-1') // TODO spectralRadiance\n\nexport var createLoschmidt = /* #__PURE__ */unitFactory('loschmidt', '2.686780111798444e25', 'm^-3');\nexport var createGasConstant = /* #__PURE__ */unitFactory('gasConstant', '8.31446261815324', 'J K^-1 mol^-1');\nexport var createMolarPlanckConstant = /* #__PURE__ */unitFactory('molarPlanckConstant', '3.990312712893431e-10', 'J s mol^-1');\nexport var createMolarVolume = /* #__PURE__ */unitFactory('molarVolume', '0.022413969545014137', 'm^3 mol^-1');\nexport var createSackurTetrode = numberFactory('sackurTetrode', -1.16487052358);\nexport var createSecondRadiation = /* #__PURE__ */unitFactory('secondRadiation', '0.014387768775039337', 'm K');\nexport var createStefanBoltzmann = /* #__PURE__ */unitFactory('stefanBoltzmann', '5.67037441918443e-8', 'W m^-2 K^-4');\nexport var createWienDisplacement = /* #__PURE__ */unitFactory('wienDisplacement', '2.897771955e-3', 'm K'); // Adopted values\n\nexport var createMolarMass = /* #__PURE__ */unitFactory('molarMass', '0.99999999965e-3', 'kg mol^-1');\nexport var createMolarMassC12 = /* #__PURE__ */unitFactory('molarMassC12', '11.9999999958e-3', 'kg mol^-1');\nexport var createGravity = /* #__PURE__ */unitFactory('gravity', '9.80665', 'm s^-2'); // atm is defined in Unit.js\n// Natural units\n\nexport var createPlanckLength = /* #__PURE__ */unitFactory('planckLength', '1.616255e-35', 'm');\nexport var createPlanckMass = /* #__PURE__ */unitFactory('planckMass', '2.176435e-8', 'kg');\nexport var createPlanckTime = /* #__PURE__ */unitFactory('planckTime', '5.391245e-44', 's');\nexport var createPlanckCharge = /* #__PURE__ */unitFactory('planckCharge', '1.87554603778e-18', 'C');\nexport var createPlanckTemperature = /* #__PURE__ */unitFactory('planckTemperature', '1.416785e+32', 'K'); // helper function to create a factory function which creates a physical constant,\n// a Unit with either a number value or a BigNumber value depending on the configuration\n\nfunction unitFactory(name, valueStr, unitStr) {\n var dependencies = ['config', 'Unit', 'BigNumber'];\n return factory(name, dependencies, _ref => {\n var {\n config,\n Unit,\n BigNumber\n } = _ref;\n // Note that we can parse into number or BigNumber.\n // We do not parse into Fractions as that doesn't make sense: we would lose precision of the values\n // Therefore we dont use Unit.parse()\n var value = config.number === 'BigNumber' ? new BigNumber(valueStr) : parseFloat(valueStr);\n var unit = new Unit(value, unitStr);\n unit.fixPrefix = true;\n return unit;\n });\n} // helper function to create a factory function which creates a numeric constant,\n// either a number or BigNumber depending on the configuration\n\n\nfunction numberFactory(name, value) {\n var dependencies = ['config', 'BigNumber'];\n return factory(name, dependencies, _ref2 => {\n var {\n config,\n BigNumber\n } = _ref2;\n return config.number === 'BigNumber' ? new BigNumber(value) : value;\n });\n}","export var pi = Math.PI;\nexport var tau = 2 * Math.PI;\nexport var e = Math.E;\nexport var phi = 1.6180339887498948; // eslint-disable-line no-loss-of-precision","/**\n * @license Fraction.js v4.3.7 31/08/2023\n * https://www.xarg.org/2014/03/rational-numbers-in-javascript/\n *\n * Copyright (c) 2023, Robert Eisele (robert@raw.org)\n * Dual licensed under the MIT or GPL Version 2 licenses.\n **/\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 => , 1 => ]\n * [ n => , d => ]\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\n\n// 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\nvar MAX_CYCLE_LEN = 2000;\n\n// Parsed data to avoid calling \"new\" all the time\nvar P = {\n \"s\": 1,\n \"n\": 0,\n \"d\": 1\n};\n\nfunction assign(n, s) {\n\n if (isNaN(n = parseInt(n, 10))) {\n throw InvalidParameter();\n }\n return n * s;\n}\n\n// Creates a new Fraction internally without the need of the bulky constructor\nfunction newFraction(n, d) {\n\n if (d === 0) {\n throw DivisionByZero();\n }\n\n var f = Object.create(Fraction.prototype);\n f[\"s\"] = n < 0 ? -1 : 1;\n\n n = n < 0 ? -n : n;\n\n var a = gcd(n, d);\n\n f[\"n\"] = n / a;\n f[\"d\"] = d / a;\n return f;\n}\n\nfunction factorize(num) {\n\n var factors = {};\n\n var n = num;\n var i = 2;\n var s = 4;\n\n while (s <= n) {\n\n while (n % i === 0) {\n n/= i;\n factors[i] = (factors[i] || 0) + 1;\n }\n s+= 1 + 2 * i++;\n }\n\n if (n !== num) {\n if (n > 1)\n factors[n] = (factors[n] || 0) + 1;\n } else {\n factors[num] = (factors[num] || 0) + 1;\n }\n return factors;\n}\n\nvar parse = function(p1, p2) {\n\n var n = 0, d = 1, s = 1;\n var v = 0, w = 0, x = 0, y = 1, z = 1;\n\n var A = 0, B = 1;\n var C = 1, D = 1;\n\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\n if (n % 1 !== 0 || d % 1 !== 0) {\n throw NonIntegerParameter();\n }\n\n } else\n switch (typeof p1) {\n\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 n*= p1[\"s\"];\n } else if (0 in p1) {\n n = p1[0];\n if (1 in p1)\n d = p1[1];\n } else {\n throw InvalidParameter();\n }\n s = n * d;\n break;\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) { // check for != 0, scale would become NaN (log(0)), which converges really slow\n\n if (p1 >= 1) {\n z = Math.pow(10, Math.floor(1 + Math.log(p1) / Math.LN10));\n p1/= z;\n }\n\n // Using Farey Sequences\n // http://www.johndcook.com/blog/2010/10/20/best-rational-approximation/\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 break;\n\n } else {\n\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*= z;\n } else if (isNaN(p1) || isNaN(p2)) {\n d = n = NaN;\n }\n break;\n }\n case \"string\":\n {\n B = p1.match(/\\d+|./g);\n\n if (B === null)\n throw InvalidParameter();\n\n if (B[A] === '-') {// Check for minus sign at the beginning\n s = -1;\n A++;\n } else if (B[A] === '+') {// Check for plus sign at the beginning\n A++;\n }\n\n if (B.length === A + 1) { // Check if it's just a simple number \"1234\"\n w = assign(B[A++], s);\n } else if (B[A + 1] === '.' || B[A] === '.') { // Check if it's a decimal number\n\n if (B[A] !== '.') { // Handle 0.5 and .5\n v = assign(B[A++], s);\n }\n A++;\n\n // Check for decimal places\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 }\n\n // Check for repeating places\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\n } else if (B[A + 1] === '/' || B[A + 1] === ':') { // 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] === ' ') { // 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) { // Check for more tokens on the stack\n d = y * z;\n s = /* void */\n n = x + d * v + z * w;\n break;\n }\n\n /* Fall through on error */\n }\n default:\n throw InvalidParameter();\n }\n\n if (d === 0) {\n throw DivisionByZero();\n }\n\n P[\"s\"] = s < 0 ? -1 : 1;\n P[\"n\"] = Math.abs(n);\n P[\"d\"] = Math.abs(d);\n};\n\nfunction modpow(b, e, m) {\n\n var r = 1;\n for (; e > 0; b = (b * b) % m, e >>= 1) {\n\n if (e & 1) {\n r = (r * b) % m;\n }\n }\n return r;\n}\n\n\nfunction cycleLen(n, d) {\n\n for (; d % 2 === 0;\n d/= 2) {\n }\n\n for (; d % 5 === 0;\n d/= 5) {\n }\n\n if (d === 1) // Catch non-cyclic numbers\n return 0;\n\n // 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\n if (t > MAX_CYCLE_LEN)\n 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 return t;\n}\n\n\nfunction cycleStart(n, d, len) {\n\n var rem1 = 1;\n var rem2 = modpow(10, len, d);\n\n for (var t = 0; t < 300; t++) { // s < ~log10(Number.MAX_VALUE)\n // Solve 10^s == 10^(s+t) (mod d)\n\n if (rem1 === rem2)\n return t;\n\n rem1 = rem1 * 10 % d;\n rem2 = rem2 * 10 % d;\n }\n return 0;\n}\n\nfunction gcd(a, b) {\n\n if (!a)\n return b;\n if (!b)\n return a;\n\n while (1) {\n a%= b;\n if (!a)\n return b;\n b%= a;\n if (!b)\n return a;\n }\n};\n\n/**\n * Module constructor\n *\n * @constructor\n * @param {number|Fraction=} a\n * @param {number=} b\n */\nexport default function Fraction(a, b) {\n\n parse(a, b);\n\n if (this instanceof Fraction) {\n a = gcd(P[\"d\"], P[\"n\"]); // Abuse variable a\n this[\"s\"] = P[\"s\"];\n this[\"n\"] = P[\"n\"] / a;\n this[\"d\"] = P[\"d\"] / a;\n } else {\n return newFraction(P['s'] * P['n'], P['d']);\n }\n}\n\nvar DivisionByZero = function() { return new Error(\"Division by Zero\"); };\nvar InvalidParameter = function() { return new Error(\"Invalid argument\"); };\nvar NonIntegerParameter = function() { return new Error(\"Parameters must be integer\"); };\n\nFraction.prototype = {\n\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() {\n\n return newFraction(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() {\n\n return newFraction(-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(a, b) {\n\n parse(a, b);\n return newFraction(\n this[\"s\"] * this[\"n\"] * P[\"d\"] + P[\"s\"] * this[\"d\"] * P[\"n\"],\n this[\"d\"] * P[\"d\"]\n );\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(a, b) {\n\n parse(a, b);\n return newFraction(\n this[\"s\"] * this[\"n\"] * P[\"d\"] - P[\"s\"] * this[\"d\"] * P[\"n\"],\n this[\"d\"] * P[\"d\"]\n );\n },\n\n /**\n * Multiplies two rational numbers\n *\n * Ex: new Fraction(\"-17.(345)\").mul(3) => 5776 / 111\n **/\n \"mul\": function(a, b) {\n\n parse(a, b);\n return newFraction(\n this[\"s\"] * P[\"s\"] * this[\"n\"] * P[\"n\"],\n this[\"d\"] * P[\"d\"]\n );\n },\n\n /**\n * Divides two rational numbers\n *\n * Ex: new Fraction(\"-17.(345)\").inverse().div(3)\n **/\n \"div\": function(a, b) {\n\n parse(a, b);\n return newFraction(\n this[\"s\"] * P[\"s\"] * this[\"n\"] * P[\"d\"],\n this[\"d\"] * P[\"n\"]\n );\n },\n\n /**\n * Clones the actual object\n *\n * Ex: new Fraction(\"-17.(345)\").clone()\n **/\n \"clone\": function() {\n return newFraction(this['s'] * this['n'], this['d']);\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(a, b) {\n\n if (isNaN(this['n']) || isNaN(this['d'])) {\n return new Fraction(NaN);\n }\n\n if (a === undefined) {\n return newFraction(this[\"s\"] * this[\"n\"] % this[\"d\"], 1);\n }\n\n parse(a, b);\n if (0 === P[\"n\"] && 0 === this[\"d\"]) {\n throw DivisionByZero();\n }\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 return newFraction(\n this[\"s\"] * (P[\"d\"] * this[\"n\"]) % (P[\"n\"] * this[\"d\"]),\n P[\"d\"] * this[\"d\"]\n );\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(a, b) {\n\n parse(a, b);\n\n // gcd(a / b, c / d) = gcd(a, c) / lcm(b, d)\n\n return newFraction(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(a, b) {\n\n parse(a, b);\n\n // lcm(a / b, c / d) = lcm(a, c) / gcd(b, d)\n\n if (P[\"n\"] === 0 && this[\"n\"] === 0) {\n return newFraction(0, 1);\n }\n return newFraction(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(places) {\n\n places = Math.pow(10, places || 0);\n\n if (isNaN(this[\"n\"]) || isNaN(this[\"d\"])) {\n return new Fraction(NaN);\n }\n return newFraction(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(places) {\n\n places = Math.pow(10, places || 0);\n\n if (isNaN(this[\"n\"]) || isNaN(this[\"d\"])) {\n return new Fraction(NaN);\n }\n return newFraction(Math.floor(places * this[\"s\"] * this[\"n\"] / this[\"d\"]), places);\n },\n\n /**\n * Rounds a rational number\n *\n * Ex: new Fraction('4.(3)').round() => (4 / 1)\n **/\n \"round\": function(places) {\n\n places = Math.pow(10, places || 0);\n\n if (isNaN(this[\"n\"]) || isNaN(this[\"d\"])) {\n return new Fraction(NaN);\n }\n return newFraction(Math.round(places * this[\"s\"] * this[\"n\"] / this[\"d\"]), places);\n },\n\n /**\n * Rounds a rational number to a multiple of another rational number\n *\n * Ex: new Fraction('0.9').roundTo(\"1/8\") => 7 / 8\n **/\n \"roundTo\": function(a, b) {\n\n /*\n k * x/y ≤ a/b < (k+1) * x/y\n ⇔ k ≤ a/b / (x/y) < (k+1)\n ⇔ k = floor(a/b * y/x)\n */\n\n parse(a, b);\n\n return newFraction(this['s'] * Math.round(this['n'] * P['d'] / (this['d'] * P['n'])) * P['n'], P['d']);\n },\n\n /**\n * Gets the inverse of the fraction, means numerator and denominator are exchanged\n *\n * Ex: new Fraction([-3, 4]).inverse() => -4 / 3\n **/\n \"inverse\": function() {\n\n return newFraction(this[\"s\"] * this[\"d\"], this[\"n\"]);\n },\n\n /**\n * Calculates the fraction to some rational exponent, if possible\n *\n * Ex: new Fraction(-1,2).pow(-3) => -8\n */\n \"pow\": function(a, b) {\n\n parse(a, b);\n\n // Trivial case when exp is an integer\n\n if (P['d'] === 1) {\n\n if (P['s'] < 0) {\n return newFraction(Math.pow(this['s'] * this[\"d\"], P['n']), Math.pow(this[\"n\"], P['n']));\n } else {\n return newFraction(Math.pow(this['s'] * this[\"n\"], P['n']), Math.pow(this[\"d\"], P['n']));\n }\n }\n\n // Negative roots become complex\n // (-a/b)^(c/d) = x\n // <=> (-1)^(c/d) * (a/b)^(c/d) = x\n // <=> (cos(pi) + i*sin(pi))^(c/d) * (a/b)^(c/d) = x # rotate 1 by 180°\n // <=> (cos(c*pi/d) + i*sin(c*pi/d)) * (a/b)^(c/d) = x # DeMoivre's formula in Q ( https://proofwiki.org/wiki/De_Moivre%27s_Formula/Rational_Index )\n // From which follows that only for c=0 the root is non-complex. c/d is a reduced fraction, so that sin(c/dpi)=0 occurs for d=1, which is handled by our trivial case.\n if (this['s'] < 0) return null;\n\n // Now prime factor n and d\n var N = factorize(this['n']);\n var D = factorize(this['d']);\n\n // Exponentiate and take root for n and d individually\n var n = 1;\n var d = 1;\n for (var k in N) {\n if (k === '1') continue;\n if (k === '0') {\n n = 0;\n break;\n }\n N[k]*= P['n'];\n\n if (N[k] % P['d'] === 0) {\n N[k]/= P['d'];\n } else return null;\n n*= Math.pow(k, N[k]);\n }\n\n for (var k in D) {\n if (k === '1') continue;\n D[k]*= P['n'];\n\n if (D[k] % P['d'] === 0) {\n D[k]/= P['d'];\n } else return null;\n d*= Math.pow(k, D[k]);\n }\n\n if (P['s'] < 0) {\n return newFraction(d, n);\n }\n return newFraction(n, d);\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(a, b) {\n\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(a, b) {\n\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\n \"simplify\": function(eps) {\n\n if (isNaN(this['n']) || isNaN(this['d'])) {\n return this;\n }\n\n eps = eps || 0.001;\n\n var thisABS = this['abs']();\n var cont = thisABS['toContinued']();\n\n for (var i = 1; i < cont.length; i++) {\n\n var s = newFraction(cont[i - 1], 1);\n for (var k = i - 2; k >= 0; k--) {\n s = s['inverse']()['add'](cont[k]);\n }\n\n if (Math.abs(s['sub'](thisABS).valueOf()) < eps) {\n return s['mul'](this['s']);\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(a, b) {\n\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() {\n\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(true) => \"4 1/3\"\n **/\n 'toFraction': function(excludeWhole) {\n\n var whole, str = \"\";\n var n = this[\"n\"];\n var d = this[\"d\"];\n if (this[\"s\"] < 0) {\n str+= '-';\n }\n\n if (d === 1) {\n str+= n;\n } else {\n\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 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(excludeWhole) {\n\n var whole, str = \"\";\n var n = this[\"n\"];\n var d = this[\"d\"];\n if (this[\"s\"] < 0) {\n str+= '-';\n }\n\n if (d === 1) {\n str+= n;\n } else {\n\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 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() {\n\n var t;\n var a = this['n'];\n var b = this['d'];\n var res = [];\n\n if (isNaN(a) || isNaN(b)) {\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(dec) {\n\n var N = this[\"n\"];\n var D = this[\"d\"];\n\n if (isNaN(N) || isNaN(D)) {\n return \"NaN\";\n }\n\n dec = dec || 15; // 15 = decimal places when no repetation\n\n var cycLen = cycleLen(N, D); // Cycle length\n var cycOff = cycleStart(N, D, cycLen); // Cycle start\n\n var str = this['s'] < 0 ? \"-\" : \"\";\n\n str+= N / D | 0;\n\n N%= D;\n N*= 10;\n\n if (N)\n str+= \".\";\n\n if (cycLen) {\n\n for (var i = cycOff; i--;) {\n str+= N / D | 0;\n N%= D;\n N*= 10;\n }\n str+= \"(\";\n for (var i = cycLen; i--;) {\n str+= N / D | 0;\n N%= D;\n N*= 10;\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 return str;\n }\n};\n","import Fraction from 'fraction.js';\nimport { factory } from '../../utils/factory.js';\nvar name = 'Fraction';\nvar dependencies = [];\nexport var createFractionClass = /* #__PURE__ */factory(name, dependencies, () => {\n /**\n * Attach type information\n */\n Object.defineProperty(Fraction, 'name', {\n value: 'Fraction'\n });\n Fraction.prototype.constructor = Fraction;\n Fraction.prototype.type = 'Fraction';\n Fraction.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\n Fraction.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\n Fraction.fromJSON = function (json) {\n return new Fraction(json);\n };\n\n return Fraction;\n}, {\n isClass: true\n});","import { factory } from '../../utils/factory.js';\nvar name = 'Matrix';\nvar dependencies = [];\nexport var createMatrixClass = /* #__PURE__ */factory(name, dependencies, () => {\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 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 * Iterate over the matrix elements\n * @return {Iterable<{ value, index: number[] }>}\n */\n\n\n Matrix.prototype[Symbol.iterator] = function () {\n // must be implemented by each of the Matrix implementations\n throw new Error('Cannot iterate 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 };\n\n return Matrix;\n}, {\n isClass: true\n});","import { isInteger } from '../number.js';\n/**\n * Formats a BigNumber in a given base\n * @param {BigNumber} n\n * @param {number} base\n * @param {number} size\n * @returns {string}\n */\n\nfunction formatBigNumberToBase(n, base, size) {\n var BigNumberCtor = n.constructor;\n var big2 = new BigNumberCtor(2);\n var suffix = '';\n\n if (size) {\n if (size < 1) {\n throw new Error('size must be in greater than 0');\n }\n\n if (!isInteger(size)) {\n throw new Error('size must be an integer');\n }\n\n if (n.greaterThan(big2.pow(size - 1).sub(1)) || n.lessThan(big2.pow(size - 1).mul(-1))) {\n throw new Error(\"Value must be in range [-2^\".concat(size - 1, \", 2^\").concat(size - 1, \"-1]\"));\n }\n\n if (!n.isInteger()) {\n throw new Error('Value must be an integer');\n }\n\n if (n.lessThan(0)) {\n n = n.add(big2.pow(size));\n }\n\n suffix = \"i\".concat(size);\n }\n\n switch (base) {\n case 2:\n return \"\".concat(n.toBinary()).concat(suffix);\n\n case 8:\n return \"\".concat(n.toOctal()).concat(suffix);\n\n case 16:\n return \"\".concat(n.toHexadecimal()).concat(suffix);\n\n default:\n throw new Error(\"Base \".concat(base, \" not supported \"));\n }\n}\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 * 'bin', 'oct, or\n * 'hex' Format the number using binary, octal,\n * or hexadecimal notation.\n * For example '0b1101' and '0x10fe'.\n * {number} wordSize The word size in bits to use for formatting\n * in binary, octal, or hexadecimal notation.\n * To be used only with 'bin', 'oct', or 'hex'\n * values for 'notation' option. When this option\n * is defined the value is formatted as a signed\n * twos complement integer of the given word size\n * and the size suffix is appended to the output.\n * For example\n * format(-1, {notation: 'hex', wordSize: 8}) === '0xffi8'.\n * Default value is undefined.\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\nexport function format(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 var wordSize;\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\n if (options.wordSize) {\n wordSize = options.wordSize;\n\n if (typeof wordSize !== 'number') {\n throw new Error('Option \"wordSize\" must be a number');\n }\n }\n } // handle the various notations\n\n\n switch (notation) {\n case 'fixed':\n return toFixed(value, precision);\n\n case 'exponential':\n return toExponential(value, precision);\n\n case 'engineering':\n return toEngineering(value, precision);\n\n case 'bin':\n return formatBigNumberToBase(value, 2, wordSize);\n\n case 'oct':\n return formatBigNumberToBase(value, 8, wordSize);\n\n case 'hex':\n return formatBigNumberToBase(value, 16, wordSize);\n\n case 'auto':\n {\n // determine lower and upper bound for exponential notation.\n // TODO: implement support for upper and lower to be BigNumbers themselves\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 rounded = value.toSignificantDigits(precision);\n var exp = rounded.e;\n\n if (exp >= lowerExp && exp < upperExp) {\n // normal number notation\n str = rounded.toFixed();\n } else {\n // exponential notation\n str = 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\n default:\n throw new Error('Unknown notation \"' + notation + '\". ' + 'Choose \"auto\", \"exponential\", \"fixed\", \"bin\", \"oct\", or \"hex.');\n }\n}\n/**\n * Format a BigNumber in engineering notation. Like '1.23e+6', '2.3e+0', '3.500e-3'\n * @param {BigNumber | string} value\n * @param {number} [precision] Optional number of significant figures to return.\n */\n\nexport function toEngineering(value, precision) {\n // find nearest lower multiple of 3 for exponent\n var e = value.e;\n var newExp = e % 3 === 0 ? e : e < 0 ? e - 3 - e % 3 : e - e % 3; // find difference in exponents, and calculate the value without exponent\n\n var valueWithoutExp = value.mul(Math.pow(10, -newExp));\n var valueStr = valueWithoutExp.toPrecision(precision);\n\n if (valueStr.indexOf('e') !== -1) {\n valueStr = valueWithoutExp.toString();\n }\n\n return valueStr + 'e' + (e >= 0 ? '+' : '') + newExp.toString();\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\nexport function toExponential(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\nexport function toFixed(value, precision) {\n return value.toFixed(precision);\n}","import { isBigNumber, isString, typeOf } from './is.js';\nimport { format as formatNumber } from './number.js';\nimport { format as formatBigNumber } from './bignumber/formatter.js';\n/**\n * Check if a text ends with a certain string.\n * @param {string} text\n * @param {string} search\n */\n\nexport function endsWith(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 * math.format(value, options)\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]\n * Formatting options. See src/utils/number.js:format for a\n * description of the available options controlling number output.\n * This generic \"format\" also supports the option property `truncate: NN`\n * giving the maximum number NN of characters to return (if there would\n * have been more, they are deleted and replaced by an ellipsis).\n * @return {string} str\n */\n\nexport function format(value, options) {\n var result = _format(value, options);\n\n if (options && typeof options === 'object' && 'truncate' in options && result.length > options.truncate) {\n return result.substring(0, options.truncate - 3) + '...';\n }\n\n return result;\n}\n\nfunction _format(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 (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(options) !== {}.toString()) {\n // this object has a non-native toString method, use that one\n return value.toString(options);\n } else {\n var entries = Object.keys(value).map(key => {\n return '\"' + key + '\": ' + format(value[key], options);\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\nexport function stringify(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\nexport function escape(value) {\n var text = String(value);\n text = text.replace(/&/g, '&').replace(/\"/g, '"').replace(/'/g, ''').replace(//g, '>');\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\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 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}\n/**\n * Compare two strings\n * @param {string} x\n * @param {string} y\n * @returns {number}\n */\n\n\nexport function compareText(x, y) {\n // we don't want to convert numbers to string, only accept string input\n if (!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 (!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 * Create a range error with the message:\n * 'Dimension mismatch ( != )'\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 */\nexport function 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}\nDimensionError.prototype = new RangeError();\nDimensionError.prototype.constructor = RangeError;\nDimensionError.prototype.name = 'DimensionError';\nDimensionError.prototype.isDimensionError = true;","/**\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 */\nexport function 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}\nIndexError.prototype = new RangeError();\nIndexError.prototype.constructor = RangeError;\nIndexError.prototype.name = 'IndexError';\nIndexError.prototype.isIndexError = true;","import { isInteger } from './number.js';\nimport { isNumber } from './is.js';\nimport { format } from './string.js';\nimport { DimensionError } from '../error/DimensionError.js';\nimport { IndexError } from '../error/IndexError.js';\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\nexport function arraySize(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\nfunction _validate(array, size, dim) {\n var i;\n var len = array.length;\n\n if (len !== size[dim]) {\n throw new DimensionError(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(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(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\nexport function validate(array, size) {\n var isScalar = size.length === 0;\n\n if (isScalar) {\n // scalar\n if (Array.isArray(array)) {\n throw new DimensionError(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\nexport function validateIndex(index, length) {\n if (!isNumber(index) || !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(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.} 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\nexport function 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 (!isNumber(value) || !isInteger(value) || value < 0) {\n throw new TypeError('Invalid size, must contain positive integers ' + '(size: ' + 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\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.} 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\nexport function reshape(array, sizes) {\n var flatArray = flatten(array);\n var currentLength = flatArray.length;\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(0, currentLength, '!=');\n }\n\n sizes = processSizesWildcard(sizes, currentLength);\n var newLength = product(sizes);\n\n if (currentLength !== newLength) {\n throw new DimensionError(newLength, currentLength, '!=');\n }\n\n try {\n return _reshape(flatArray, sizes);\n } catch (e) {\n if (e instanceof DimensionError) {\n throw new DimensionError(newLength, currentLength, '!=');\n }\n\n throw e;\n }\n}\n/**\n * Replaces the wildcard -1 in the sizes array.\n * @param {Array.} sizes List of sizes for each dimension. At most on wildcard.\n * @param {number} currentLength Number of elements in the array.\n * @throws {Error} If more than one wildcard or unable to replace it.\n * @returns {Array.} The sizes array with wildcard replaced.\n */\n\nexport function processSizesWildcard(sizes, currentLength) {\n var newLength = product(sizes);\n var processedSizes = sizes.slice();\n var WILDCARD = -1;\n var wildCardIndex = sizes.indexOf(WILDCARD);\n var isMoreThanOneWildcard = sizes.indexOf(WILDCARD, wildCardIndex + 1) >= 0;\n\n if (isMoreThanOneWildcard) {\n throw new Error('More than one wildcard in sizes');\n }\n\n var hasWildcard = wildCardIndex >= 0;\n var canReplaceWildcard = currentLength % newLength === 0;\n\n if (hasWildcard) {\n if (canReplaceWildcard) {\n processedSizes[wildCardIndex] = -currentLength / newLength;\n } else {\n throw new Error('Could not replace wildcard, since ' + currentLength + ' is no multiple of ' + -newLength);\n }\n }\n\n return processedSizes;\n}\n/**\n * Computes the product of all array elements.\n * @param {Array} array Array of factors\n * @returns {number} Product of all elements\n */\n\nfunction product(array) {\n return array.reduce((prev, curr) => prev * curr, 1);\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.} 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} [size]\n * @returns {Array} returns the array itself\n */\n\n\nexport function squeeze(array, size) {\n var s = size || arraySize(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\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} [size] Current size of array.\n * @returns {Array} returns the array itself\n * @private\n */\n\n\nexport function unsqueeze(array, dims, outer, size) {\n var s = size || arraySize(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\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\nexport function 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\nexport function 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\nexport function 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\nexport function filter(array, callback) {\n if (arraySize(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\nexport function filterRegExp(array, regexp) {\n if (arraySize(array).length !== 1) {\n throw new Error('Only one dimensional matrices supported');\n }\n\n return Array.prototype.filter.call(array, entry => regexp.test(entry));\n}\n/**\n * A safe join\n * @param {Array} array\n * @param {string} separator\n */\n\nexport function 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\nexport function 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\nexport function 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}\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} array\n * @param {function} typeOf Callback function to use to determine the type of a value\n * @return {string}\n */\n\nexport function getArrayDataType(array, typeOf) {\n var type; // to hold type info\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, typeOf) // 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 the last item from an array\n * @param array\n * @returns {*}\n */\n\nexport function last(array) {\n return array[array.length - 1];\n}\n/**\n * Get all but the last element of array.\n */\n\nexport function initial(array) {\n return array.slice(0, array.length - 1);\n}\n/**\n * Test whether an array or string contains an item\n * @param {Array | string} array\n * @param {*} item\n * @return {boolean}\n */\n\nexport function contains(array, item) {\n return array.indexOf(item) !== -1;\n}","import { isArray, isBigNumber, isCollection, isIndex, isMatrix, isNumber, isString, typeOf } from '../../utils/is.js';\nimport { arraySize, getArrayDataType, processSizesWildcard, reshape, resize, unsqueeze, validate, validateIndex } from '../../utils/array.js';\nimport { format } from '../../utils/string.js';\nimport { isInteger } from '../../utils/number.js';\nimport { clone, deepStrictEqual } from '../../utils/object.js';\nimport { DimensionError } from '../../error/DimensionError.js';\nimport { factory } from '../../utils/factory.js';\nimport { maxArgumentCount } from '../../utils/function.js';\nvar name = 'DenseMatrix';\nvar dependencies = ['Matrix'];\nexport var createDenseMatrixClass = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n Matrix\n } = _ref;\n\n /**\n * Dense Matrix implementation. A regular, dense matrix, supporting multi-dimensional matrices. This is the default matrix type.\n * @class DenseMatrix\n * @enum {{ value, index: number[] }}\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 (isMatrix(data)) {\n // check data is a DenseMatrix\n if (data.type === 'DenseMatrix') {\n // clone data & size\n this._data = clone(data._data);\n this._size = 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; // verify the dimensions of the array\n\n validate(this._data, this._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 = arraySize(this._data); // verify the dimensions of the array, TODO: compute size while processing array\n\n 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 (' + typeOf(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 * Create a new DenseMatrix\n */\n\n DenseMatrix.prototype.createDenseMatrix = function (data, datatype) {\n return new DenseMatrix(data, datatype);\n };\n /**\n * Attach type information\n */\n\n\n Object.defineProperty(DenseMatrix, 'name', {\n value: 'DenseMatrix'\n });\n DenseMatrix.prototype.constructor = DenseMatrix;\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, typeOf);\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 | 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 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 (!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 (isMatrix(submatrix)) {\n sSize = submatrix.size();\n submatrix = submatrix.valueOf();\n } else {\n sSize = arraySize(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 = unsqueeze(submatrix, iSize.length, outer, sSize);\n } // check whether the size of the submatrix matches the index size\n\n\n if (!deepStrictEqual(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[] || Matrix} 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 (!isCollection(size)) {\n throw new TypeError('Array or Matrix expected');\n } // SparseMatrix input is always 2d, flatten this into 1d if it's indeed a vector\n\n\n var sizeArray = size.valueOf().map(value => {\n return Array.isArray(value) && value.length === 1 ? value[0] : value;\n }); // matrix to resize\n\n var m = copy ? this.clone() : this; // resize matrix\n\n return _resize(m, sizeArray, 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 = 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 = reshape(m._data, size);\n\n var currentLength = m._size.reduce((length, size) => length * size);\n\n m._size = processSizesWildcard(size, currentLength);\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: clone(this._data),\n size: 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 var args = maxArgumentCount(callback);\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 // 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, me);\n }\n }\n }; // determine the new datatype when the original matrix has datatype defined\n // TODO: should be done in matrix constructor instead\n\n\n var data = recurse(this._data, []);\n var datatype = this._datatype !== undefined ? getArrayDataType(data, typeOf) : undefined;\n return new DenseMatrix(data, datatype);\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 * Iterate over the matrix elements\n * @return {Iterable<{ value, index: number[] }>}\n */\n\n\n DenseMatrix.prototype[Symbol.iterator] = function* () {\n var recurse = function* recurse(value, index) {\n if (isArray(value)) {\n for (var i = 0; i < value.length; i++) {\n yield* recurse(value[i], index.concat(i));\n }\n } else {\n yield {\n value,\n index\n };\n }\n };\n\n yield* recurse(this._data, []);\n };\n /**\n * Returns an array containing the rows of a 2D matrix\n * @returns {Array}\n */\n\n\n DenseMatrix.prototype.rows = function () {\n var result = [];\n var s = this.size();\n\n if (s.length !== 2) {\n throw new TypeError('Rows can only be returned for a 2D matrix.');\n }\n\n var data = this._data;\n\n for (var row of data) {\n result.push(new DenseMatrix([row], this._datatype));\n }\n\n return result;\n };\n /**\n * Returns an array containing the columns of a 2D matrix\n * @returns {Array}\n */\n\n\n DenseMatrix.prototype.columns = function () {\n var _this = this;\n\n var result = [];\n var s = this.size();\n\n if (s.length !== 2) {\n throw new TypeError('Rows can only be returned for a 2D matrix.');\n }\n\n var data = this._data;\n\n var _loop = function _loop(i) {\n var col = data.map(row => [row[i]]);\n result.push(new DenseMatrix(col, _this._datatype));\n };\n\n for (var i = 0; i < s[1]; i++) {\n _loop(i);\n }\n\n return result;\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 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 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 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 {Matrix} The matrix 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 (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,\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 | Matrix | 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 * @param {string} [datatype] The datatype for the diagonal\n *\n * @returns {DenseMatrix}\n */\n\n\n DenseMatrix.diagonal = function (size, value, k, defaultValue) {\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 (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 (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 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 (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 = isBigNumber(_value(0)) ? _value(0).mul(0) // trick to create a BigNumber with value zero\n : 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 = 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,\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 * @param {Array} data Matrix data\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 }\n\n return DenseMatrix;\n}, {\n isClass: true\n});","import { hasOwnProperty } from './object.js';\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\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\nfunction getSafeProperties(object) {\n return Object.keys(object).filter(prop => hasOwnProperty(object, prop));\n}\n\nfunction hasSafeProperty(object, prop) {\n return prop in object;\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 === null || object === undefined || 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};\nexport { getSafeProperty };\nexport { setSafeProperty };\nexport { isSafeProperty };\nexport { hasSafeProperty };\nexport { getSafeProperties };\nexport { validateSafeMethod };\nexport { isSafeMethod };\nexport { isPlainObject };","import { setSafeProperty, hasSafeProperty, getSafeProperty } from './customs.js';\nimport { isObject } from './is.js';\n/**\n * A map facade on a bare object.\n *\n * The small number of methods needed to implement a scope,\n * forwarding on to the SafeProperty functions. Over time, the codebase\n * will stop using this method, as all objects will be Maps, rather than\n * more security prone objects.\n */\n\nexport class ObjectWrappingMap {\n constructor(object) {\n this.wrappedObject = object;\n }\n\n keys() {\n return Object.keys(this.wrappedObject);\n }\n\n get(key) {\n return getSafeProperty(this.wrappedObject, key);\n }\n\n set(key, value) {\n setSafeProperty(this.wrappedObject, key, value);\n return this;\n }\n\n has(key) {\n return hasSafeProperty(this.wrappedObject, key);\n }\n\n}\n/**\n * Creates an empty map, or whatever your platform's polyfill is.\n *\n * @returns an empty Map or Map like object.\n */\n\nexport function createEmptyMap() {\n return new Map();\n}\n/**\n * Creates a Map from the given object.\n *\n * @param { Map | { [key: string]: unknown } | undefined } mapOrObject\n * @returns\n */\n\nexport function createMap(mapOrObject) {\n if (!mapOrObject) {\n return createEmptyMap();\n }\n\n if (isMap(mapOrObject)) {\n return mapOrObject;\n }\n\n if (isObject(mapOrObject)) {\n return new ObjectWrappingMap(mapOrObject);\n }\n\n throw new Error('createMap can create maps from objects or Maps');\n}\n/**\n * Unwraps a map into an object.\n *\n * @param {Map} map\n * @returns { [key: string]: unknown }\n */\n\nexport function toObject(map) {\n if (map instanceof ObjectWrappingMap) {\n return map.wrappedObject;\n }\n\n var object = {};\n\n for (var key of map.keys()) {\n var value = map.get(key);\n setSafeProperty(object, key, value);\n }\n\n return object;\n}\n/**\n * Returns `true` if the passed object appears to be a Map (i.e. duck typing).\n *\n * Methods looked for are `get`, `set`, `keys` and `has`.\n *\n * @param {Map | object} object\n * @returns\n */\n\nexport function isMap(object) {\n // We can use the fast instanceof, or a slower duck typing check.\n // The duck typing method needs to cover enough methods to not be confused with DenseMatrix.\n if (!object) {\n return false;\n }\n\n return object instanceof Map || object instanceof ObjectWrappingMap || typeof object.set === 'function' && typeof object.get === 'function' && typeof object.keys === 'function' && typeof object.has === 'function';\n}\n/**\n * Copies the contents of key-value pairs from each `objects` in to `map`.\n *\n * Object is `objects` can be a `Map` or object.\n *\n * This is the `Map` analog to `Object.assign`.\n */\n\nexport function assign(map) {\n for (var _len = arguments.length, objects = new Array(_len > 1 ? _len - 1 : 0), _key = 1; _key < _len; _key++) {\n objects[_key - 1] = arguments[_key];\n }\n\n for (var args of objects) {\n if (!args) {\n continue;\n }\n\n if (isMap(args)) {\n for (var key of args.keys()) {\n map.set(key, args.get(key));\n }\n } else if (isObject(args)) {\n for (var _key2 of Object.keys(args)) {\n map.set(_key2, args[_key2]);\n }\n }\n }\n\n return map;\n}","/**\n * Create a typed-function which checks the types of the arguments and\n * can match them against multiple provided signatures. The typed-function\n * automatically converts inputs in order to find a matching signature.\n * Typed functions throw informative errors in case of wrong input arguments.\n *\n * See the library [typed-function](https://github.com/josdejong/typed-function)\n * for detailed documentation.\n *\n * Syntax:\n *\n * math.typed(name, signatures) : function\n * math.typed(signatures) : function\n *\n * Examples:\n *\n * // create a typed function with multiple types per argument (type union)\n * const fn2 = typed({\n * 'number | boolean': function (b) {\n * return 'b is a number or boolean'\n * },\n * 'string, number | boolean': function (a, b) {\n * return 'a is a string, b is a number or boolean'\n * }\n * })\n *\n * // create a typed function with an any type argument\n * const log = typed({\n * 'string, any': function (event, data) {\n * console.log('event: ' + event + ', data: ' + JSON.stringify(data))\n * }\n * })\n *\n * @param {string} [name] Optional name for the typed-function\n * @param {Object} signatures Object with one or multiple function signatures\n * @returns {function} The created typed-function.\n */\nimport { isAccessorNode, isArray, isArrayNode, isAssignmentNode, isBigNumber, isBlockNode, isBoolean, isChain, isCollection, isComplex, isConditionalNode, isConstantNode, isDate, isDenseMatrix, isFraction, isFunction, isFunctionAssignmentNode, isFunctionNode, isHelp, isIndex, isIndexNode, isMatrix, isNode, isNull, isNumber, isObject, isObjectNode, isOperatorNode, isParenthesisNode, isRange, isRangeNode, isRegExp, isResultSet, isSparseMatrix, isString, isSymbolNode, isUndefined, isUnit } from '../../utils/is.js';\nimport typedFunction from 'typed-function';\nimport { digits } from '../../utils/number.js';\nimport { factory } from '../../utils/factory.js';\nimport { isMap } from '../../utils/map.js'; // returns a new instance of typed-function\n\nvar _createTyped2 = function _createTyped() {\n // initially, return the original instance of typed-function\n // consecutively, return a new instance from typed.create.\n _createTyped2 = typedFunction.create;\n return typedFunction;\n};\n\nvar dependencies = ['?BigNumber', '?Complex', '?DenseMatrix', '?Fraction'];\n/**\n * Factory function for creating a new typed instance\n * @param {Object} dependencies Object with data types like Complex and BigNumber\n * @returns {Function}\n */\n\nexport var createTyped = /* #__PURE__ */factory('typed', dependencies, function createTyped(_ref) {\n var {\n BigNumber,\n Complex,\n DenseMatrix,\n Fraction\n } = _ref;\n\n // TODO: typed-function must be able to silently ignore signatures with unknown data types\n // get a new instance of typed-function\n var typed = _createTyped2(); // 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.clear();\n typed.addTypes([{\n name: 'number',\n test: isNumber\n }, {\n name: 'Complex',\n test: isComplex\n }, {\n name: 'BigNumber',\n test: isBigNumber\n }, {\n name: 'Fraction',\n test: isFraction\n }, {\n name: 'Unit',\n test: isUnit\n }, // The following type matches a valid variable name, i.e., an alphanumeric\n // string starting with an alphabetic character. It is used (at least)\n // in the definition of the derivative() function, as the argument telling\n // what to differentiate over must (currently) be a variable.\n {\n name: 'identifier',\n test: s => isString && 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}, {\n name: 'string',\n test: isString\n }, {\n name: 'Chain',\n test: isChain\n }, {\n name: 'Array',\n test: isArray\n }, {\n name: 'Matrix',\n test: isMatrix\n }, {\n name: 'DenseMatrix',\n test: isDenseMatrix\n }, {\n name: 'SparseMatrix',\n test: isSparseMatrix\n }, {\n name: 'Range',\n test: isRange\n }, {\n name: 'Index',\n test: isIndex\n }, {\n name: 'boolean',\n test: isBoolean\n }, {\n name: 'ResultSet',\n test: isResultSet\n }, {\n name: 'Help',\n test: isHelp\n }, {\n name: 'function',\n test: isFunction\n }, {\n name: 'Date',\n test: isDate\n }, {\n name: 'RegExp',\n test: isRegExp\n }, {\n name: 'null',\n test: isNull\n }, {\n name: 'undefined',\n test: isUndefined\n }, {\n name: 'AccessorNode',\n test: isAccessorNode\n }, {\n name: 'ArrayNode',\n test: isArrayNode\n }, {\n name: 'AssignmentNode',\n test: isAssignmentNode\n }, {\n name: 'BlockNode',\n test: isBlockNode\n }, {\n name: 'ConditionalNode',\n test: isConditionalNode\n }, {\n name: 'ConstantNode',\n test: isConstantNode\n }, {\n name: 'FunctionNode',\n test: isFunctionNode\n }, {\n name: 'FunctionAssignmentNode',\n test: isFunctionAssignmentNode\n }, {\n name: 'IndexNode',\n test: isIndexNode\n }, {\n name: 'Node',\n test: isNode\n }, {\n name: 'ObjectNode',\n test: isObjectNode\n }, {\n name: 'OperatorNode',\n test: isOperatorNode\n }, {\n name: 'ParenthesisNode',\n test: isParenthesisNode\n }, {\n name: 'RangeNode',\n test: isRangeNode\n }, {\n name: 'SymbolNode',\n test: isSymbolNode\n }, {\n name: 'Map',\n test: isMap\n }, {\n name: 'Object',\n test: isObject\n } // order 'Object' last, it matches on other classes too\n ]);\n typed.addConversions([{\n from: 'number',\n to: 'BigNumber',\n convert: function convert(x) {\n if (!BigNumber) {\n throwNoBignumber(x);\n } // note: conversion from number to BigNumber can fail if x has >15 digits\n\n\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 BigNumber(x);\n }\n }, {\n from: 'number',\n to: 'Complex',\n convert: function convert(x) {\n if (!Complex) {\n throwNoComplex(x);\n }\n\n return new Complex(x, 0);\n }\n }, {\n from: 'BigNumber',\n to: 'Complex',\n convert: function convert(x) {\n if (!Complex) {\n throwNoComplex(x);\n }\n\n return new 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 if (!Complex) {\n throwNoComplex(x);\n }\n\n return new Complex(x.valueOf(), 0);\n }\n }, {\n from: 'number',\n to: 'Fraction',\n convert: function convert(x) {\n if (!Fraction) {\n throwNoFraction(x);\n }\n\n var f = new 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 f;\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 if (!BigNumber) {\n throwNoBignumber(x);\n }\n\n try {\n return new 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 if (!Fraction) {\n throwNoFraction(x);\n }\n\n try {\n return new 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 if (!Complex) {\n throwNoComplex(x);\n }\n\n try {\n return new 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 if (!BigNumber) {\n throwNoBignumber(x);\n }\n\n return new BigNumber(+x);\n }\n }, {\n from: 'boolean',\n to: 'Fraction',\n convert: function convert(x) {\n if (!Fraction) {\n throwNoFraction(x);\n }\n\n return new Fraction(+x);\n }\n }, {\n from: 'boolean',\n to: 'string',\n convert: function convert(x) {\n return String(x);\n }\n }, {\n from: 'Array',\n to: 'Matrix',\n convert: function convert(array) {\n if (!DenseMatrix) {\n throwNoMatrix();\n }\n\n return new DenseMatrix(array);\n }\n }, {\n from: 'Matrix',\n to: 'Array',\n convert: function convert(matrix) {\n return matrix.valueOf();\n }\n }]); // Provide a suggestion on how to call a function elementwise\n // This was added primarily as guidance for the v10 -> v11 transition,\n // and could potentially be removed in the future if it no longer seems\n // to be helpful.\n\n typed.onMismatch = (name, args, signatures) => {\n var usualError = typed.createError(name, args, signatures);\n\n if (['wrongType', 'mismatch'].includes(usualError.data.category) && args.length === 1 && isCollection(args[0]) && // check if the function can be unary:\n signatures.some(sig => !sig.params.includes(','))) {\n var err = new TypeError(\"Function '\".concat(name, \"' doesn't apply to matrices. To call it \") + \"elementwise on a matrix 'M', try 'map(M, \".concat(name, \")'.\"));\n err.data = usualError.data;\n throw err;\n }\n\n throw usualError;\n }; // Provide a suggestion on how to call a function elementwise\n // This was added primarily as guidance for the v10 -> v11 transition,\n // and could potentially be removed in the future if it no longer seems\n // to be helpful.\n\n\n typed.onMismatch = (name, args, signatures) => {\n var usualError = typed.createError(name, args, signatures);\n\n if (['wrongType', 'mismatch'].includes(usualError.data.category) && args.length === 1 && isCollection(args[0]) && // check if the function can be unary:\n signatures.some(sig => !sig.params.includes(','))) {\n var err = new TypeError(\"Function '\".concat(name, \"' doesn't apply to matrices. To call it \") + \"elementwise on a matrix 'M', try 'map(M, \".concat(name, \")'.\"));\n err.data = usualError.data;\n throw err;\n }\n\n throw usualError;\n };\n\n return typed;\n});\n\nfunction throwNoBignumber(x) {\n throw new Error(\"Cannot convert value \".concat(x, \" into a BigNumber: no class 'BigNumber' provided\"));\n}\n\nfunction throwNoComplex(x) {\n throw new Error(\"Cannot convert value \".concat(x, \" into a Complex number: no class 'Complex' provided\"));\n}\n\nfunction throwNoMatrix() {\n throw new Error('Cannot convert array into a Matrix: no class \\'DenseMatrix\\' provided');\n}\n\nfunction throwNoFraction(x) {\n throw new Error(\"Cannot convert value \".concat(x, \" into a Fraction, no class 'Fraction' provided.\"));\n}","import { isCollection, isMatrix } from './is.js';\nimport { IndexError } from '../error/IndexError.js';\nimport { arraySize } from './array.js';\nimport { _switch } from './switch.js';\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\nexport 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}\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\nexport 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}\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\nexport 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}\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\nexport function reduce(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\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} // TODO: document function scatter\n\n\nexport function scatter(a, j, w, x, u, mark, cindex, f, inverse, update, value) {\n // a arrays\n var avalues = a._values;\n var aindex = a._index;\n var aptr = a._ptr; // 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}","import { cbrt, expm1, isInteger, log10, log1p, log2, sign, toFixed } from '../../utils/number.js';\nvar n1 = 'number';\nvar n2 = 'number, number';\nexport function absNumber(a) {\n return Math.abs(a);\n}\nabsNumber.signature = n1;\nexport function addNumber(a, b) {\n return a + b;\n}\naddNumber.signature = n2;\nexport function subtractNumber(a, b) {\n return a - b;\n}\nsubtractNumber.signature = n2;\nexport function multiplyNumber(a, b) {\n return a * b;\n}\nmultiplyNumber.signature = n2;\nexport function divideNumber(a, b) {\n return a / b;\n}\ndivideNumber.signature = n2;\nexport function unaryMinusNumber(x) {\n return -x;\n}\nunaryMinusNumber.signature = n1;\nexport function unaryPlusNumber(x) {\n return x;\n}\nunaryPlusNumber.signature = n1;\nexport function cbrtNumber(x) {\n return cbrt(x);\n}\ncbrtNumber.signature = n1;\nexport function cubeNumber(x) {\n return x * x * x;\n}\ncubeNumber.signature = n1;\nexport function expNumber(x) {\n return Math.exp(x);\n}\nexpNumber.signature = n1;\nexport function expm1Number(x) {\n return expm1(x);\n}\nexpm1Number.signature = n1;\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 */\n\nexport function gcdNumber(a, b) {\n if (!isInteger(a) || !isInteger(b)) {\n throw new Error('Parameters in function gcd must be integer numbers');\n } // https://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}\ngcdNumber.signature = n2;\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 */\n\nexport function lcmNumber(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 } // https://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}\nlcmNumber.signature = n2;\n/**\n * Calculate the logarithm of a value, optionally to a given base.\n * @param {number} x\n * @param {number | null | undefined} base\n * @return {number}\n */\n\nexport function logNumber(x, y) {\n if (y) {\n return Math.log(x) / Math.log(y);\n }\n\n return Math.log(x);\n}\n/**\n * Calculate the 10-base logarithm of a number\n * @param {number} x\n * @return {number}\n */\n\nexport function log10Number(x) {\n return log10(x);\n}\nlog10Number.signature = n1;\n/**\n * Calculate the 2-base logarithm of a number\n * @param {number} x\n * @return {number}\n */\n\nexport function log2Number(x) {\n return log2(x);\n}\nlog2Number.signature = n1;\n/**\n * Calculate the natural logarithm of a `number+1`\n * @param {number} x\n * @returns {number}\n */\n\nexport function log1pNumber(x) {\n return log1p(x);\n}\nlog1pNumber.signature = n1;\n/**\n * Calculate the modulus of two numbers\n * @param {number} x\n * @param {number} y\n * @returns {number} res\n * @private\n */\n\nexport function modNumber(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 https://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}\nmodNumber.signature = n2;\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} [2] root\n * @private\n */\n\nexport function nthRootNumber(a) {\n var root = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : 2;\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}\nexport function signNumber(x) {\n return sign(x);\n}\nsignNumber.signature = n1;\nexport function sqrtNumber(x) {\n return Math.sqrt(x);\n}\nsqrtNumber.signature = n1;\nexport function squareNumber(x) {\n return x * x;\n}\nsquareNumber.signature = n1;\n/**\n * Calculate xgcd for two numbers\n * @param {number} a\n * @param {number} b\n * @return {number} result\n * @private\n */\n\nexport function xgcdNumber(a, b) {\n // source: https://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 res;\n}\nxgcdNumber.signature = n2;\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} res\n */\n\nexport function powNumber(x, y) {\n // x^Infinity === 0 if -1 < x < 1\n // A real number 0 is returned instead of complex(0)\n if (x * x < 1 && y === Infinity || x * x > 1 && y === -Infinity) {\n return 0;\n }\n\n return Math.pow(x, y);\n}\npowNumber.signature = n2;\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 */\n\nexport function roundNumber(value) {\n var decimals = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : 0;\n\n if (!isInteger(decimals) || decimals < 0 || decimals > 15) {\n throw new Error('Number of decimals in function round must be an integer from 0 to 15 inclusive');\n }\n\n return parseFloat(toFixed(value, decimals));\n}\n/**\n * Calculate the norm of a number, the absolute value.\n * @param {number} x\n * @return {number}\n */\n\nexport function normNumber(x) {\n return Math.abs(x);\n}\nnormNumber.signature = n1;","import { factory } from '../../utils/factory.js';\nexport var createCompareUnits = /* #__PURE__ */factory('compareUnits', ['typed'], _ref => {\n var {\n typed\n } = _ref;\n return {\n 'Unit, Unit': typed.referToSelf(self => (x, y) => {\n if (!x.equalBase(y)) {\n throw new Error('Cannot compare units with different base');\n }\n\n return typed.find(self, [x.valueType(), y.valueType()])(x.value, y.value);\n })\n };\n});","import { nearlyEqual as bigNearlyEqual } from '../../utils/bignumber/nearlyEqual.js';\nimport { nearlyEqual } from '../../utils/number.js';\nimport { factory } from '../../utils/factory.js';\nimport { complexEquals } from '../../utils/complex.js';\nimport { createCompareUnits } from './compareUnits.js';\nvar name = 'equalScalar';\nvar dependencies = ['typed', 'config'];\nexport var createEqualScalar = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n config\n } = _ref;\n var compareUnits = createCompareUnits({\n typed\n });\n /**\n * Test whether two scalar values are nearly 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\n return typed(name, {\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 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 complexEquals(x, y, config.epsilon);\n }\n }, compareUnits);\n});\nexport var createEqualScalarNumber = factory(name, ['typed', 'config'], _ref2 => {\n var {\n typed,\n config\n } = _ref2;\n return typed(name, {\n 'number, number': function numberNumber(x, y) {\n return nearlyEqual(x, y, config.epsilon);\n }\n });\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 */\nexport 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}","import { nearlyEqual } from './number.js';\n/**\n * Test whether two complex values are equal provided a given epsilon.\n * Does not use or change the global Complex.EPSILON setting\n * @param {Complex} x\n * @param {Complex} y\n * @param {number} epsilon\n * @returns {boolean}\n */\n\nexport function complexEquals(x, y, epsilon) {\n return nearlyEqual(x.re, y.re, epsilon) && nearlyEqual(x.im, y.im, epsilon);\n}","/* eslint-disable no-loss-of-precision */\nimport { deepMap } from '../../utils/collection.js';\nimport { sign } from '../../utils/number.js';\nimport { factory } from '../../utils/factory.js';\nvar name = 'erf';\nvar dependencies = ['typed'];\nexport var createErf = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed\n } = _ref;\n\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 * ( https://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 return typed('name', {\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 'Array | Matrix': typed.referToSelf(self => n => deepMap(n, self)) // 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/**\n * Upper bound for the first approximation interval, 0 <= x <= THRESH\n * @constant\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);","import { factory } from '../../utils/factory.js';\nvar name = 'hex';\nvar dependencies = ['typed', 'format'];\n/**\n * Format a number as hexadecimal.\n *\n * Syntax:\n *\n * math.hex(value)\n *\n * Examples:\n *\n * math.hex(240) // returns \"0xF0\"\n *\n * See also:\n *\n * oct\n * bin\n *\n * @param {number} value Value to be stringified\n * @param {number} wordSize Optional word size (see `format`)\n * @return {string} The formatted value\n */\n\nexport var createHex = factory(name, dependencies, _ref => {\n var {\n typed,\n format\n } = _ref;\n return typed(name, {\n 'number | BigNumber': function numberBigNumber(n) {\n return format(n, {\n notation: 'hex'\n });\n },\n 'number | BigNumber, number': function numberBigNumberNumber(n, wordSize) {\n return format(n, {\n notation: 'hex',\n wordSize\n });\n }\n });\n});","import { factory } from '../../utils/factory.js';\nvar name = 'oct';\nvar dependencies = ['typed', 'format'];\n/**\n * Format a number as octal.\n *\n * Syntax:\n *\n * math.oct(value)\n *\n * Examples:\n *\n * //the following outputs \"0o70\"\n * math.oct(56)\n *\n * See also:\n *\n * bin\n * hex\n *\n * @param {number} value Value to be stringified\n * @param {number} wordSize Optional word size (see `format`)\n * @return {string} The formatted value\n */\n\nexport var createOct = factory(name, dependencies, _ref => {\n var {\n typed,\n format\n } = _ref;\n return typed(name, {\n 'number | BigNumber': function numberBigNumber(n) {\n return format(n, {\n notation: 'oct'\n });\n },\n 'number | BigNumber, number': function numberBigNumberNumber(n, wordSize) {\n return format(n, {\n notation: 'oct',\n wordSize\n });\n }\n });\n});","import seedrandom from 'seedrandom';\nvar singletonRandom = /* #__PURE__ */seedrandom(Date.now());\nexport function createRng(randomSeed) {\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(randomSeed); // wrapper function so the rng can be updated via generator\n\n function rng() {\n return random();\n }\n\n return rng;\n}","import { factory } from '../../utils/factory.js';\nimport { isMatrix } from '../../utils/is.js';\nimport { createRng } from './util/seededRNG.js';\nimport { randomMatrix } from './util/randomMatrix.js';\nvar name = 'random';\nvar dependencies = ['typed', 'config', '?on'];\nexport var createRandom = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n config,\n on\n } = _ref;\n // seeded pseudo random number generator\n var rng = createRng(config.randomSeed);\n\n if (on) {\n on('config', function (curr, prev) {\n if (curr.randomSeed !== prev.randomSeed) {\n rng = createRng(curr.randomSeed);\n }\n });\n }\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\n\n return typed(name, {\n '': () => _random(0, 1),\n number: max => _random(0, max),\n 'number, number': (min, max) => _random(min, max),\n 'Array | Matrix': size => _randomMatrix(size, 0, 1),\n 'Array | Matrix, number': (size, max) => _randomMatrix(size, 0, max),\n 'Array | Matrix, number, number': (size, min, max) => _randomMatrix(size, min, max)\n });\n\n function _randomMatrix(size, min, max) {\n var res = randomMatrix(size.valueOf(), () => _random(min, max));\n return isMatrix(size) ? size.create(res) : res;\n }\n\n function _random(min, max) {\n return min + rng() * (max - min);\n }\n}); // number only implementation of random, no matrix support\n// TODO: there is quite some duplicate code in both createRandom and createRandomNumber, can we improve that?\n\nexport var createRandomNumber = /* #__PURE__ */factory(name, ['typed', 'config', '?on'], _ref2 => {\n var {\n typed,\n config,\n on,\n matrix\n } = _ref2;\n // seeded pseudo random number generator1\n var rng = createRng(config.randomSeed);\n\n if (on) {\n on('config', function (curr, prev) {\n if (curr.randomSeed !== prev.randomSeed) {\n rng = createRng(curr.randomSeed);\n }\n });\n }\n\n return typed(name, {\n '': () => _random(0, 1),\n number: max => _random(0, max),\n 'number, number': (min, max) => _random(min, max)\n });\n\n function _random(min, max) {\n return min + rng() * (max - min);\n }\n});","import { isArray, isBigNumber, isCollection, isIndex, isMatrix, isNumber, isString, typeOf } from '../../utils/is.js';\nimport { isInteger } from '../../utils/number.js';\nimport { format } from '../../utils/string.js';\nimport { clone, deepStrictEqual } from '../../utils/object.js';\nimport { arraySize, getArrayDataType, processSizesWildcard, unsqueeze, validateIndex } from '../../utils/array.js';\nimport { factory } from '../../utils/factory.js';\nimport { DimensionError } from '../../error/DimensionError.js';\nimport { maxArgumentCount } from '../../utils/function.js';\nvar name = 'SparseMatrix';\nvar dependencies = ['typed', 'equalScalar', 'Matrix'];\nexport var createSparseMatrixClass = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n equalScalar,\n Matrix\n } = _ref;\n\n /**\n * Sparse Matrix implementation. This type implements\n * a [Compressed Column Storage](https://en.wikipedia.org/wiki/Sparse_matrix#Compressed_sparse_column_(CSC_or_CCS))\n * format for two-dimensional sparse matrices.\n * @class SparseMatrix\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 (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 (' + typeOf(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 ? clone(source._values) : undefined;\n matrix._index = clone(source._index);\n matrix._ptr = clone(source._ptr);\n matrix._size = 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 * Create a new SparseMatrix\n */\n\n SparseMatrix.prototype.createSparseMatrix = function (data, datatype) {\n return new SparseMatrix(data, datatype);\n };\n /**\n * Attach type information\n */\n\n\n Object.defineProperty(SparseMatrix, 'name', {\n value: 'SparseMatrix'\n });\n SparseMatrix.prototype.constructor = SparseMatrix;\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, typeOf);\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 | 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 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 (!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,\n index,\n ptr,\n 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 (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 = arraySize(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 = unsqueeze(submatrix, iSize.length, outer, sSize);\n } // check whether the size of the submatrix matches the index size\n\n\n if (!deepStrictEqual(iSize, sSize)) {\n throw new DimensionError(iSize, sSize, '>');\n } // insert the sub matrix\n\n\n if (iSize.length === 1) {\n // if the replacement index only has 1 dimension, go trough each one and set its value\n var range = index.dimension(0);\n range.forEach(function (dataIndex, subIndex) {\n validateIndex(dataIndex);\n matrix.set([dataIndex, 0], submatrix[subIndex[0]], defaultValue);\n });\n } else {\n // if the replacement index has 2 dimensions, go through each one and set the value in the correct index\n var firstDimensionRange = index.dimension(0);\n var secondDimensionRange = index.dimension(1);\n firstDimensionRange.forEach(function (firstDataIndex, firstSubIndex) {\n validateIndex(firstDataIndex);\n secondDimensionRange.forEach(function (secondDataIndex, secondSubIndex) {\n validateIndex(secondDataIndex);\n matrix.set([firstDataIndex, secondDataIndex], submatrix[firstSubIndex[0]][secondSubIndex[0]], defaultValue);\n });\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 {*} v\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[] | Matrix} size The new size the matrix should have.\n * Since sparse matrices are always two-dimensional,\n * size must be two numbers in either an array or a matrix\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 (!isCollection(size)) {\n throw new TypeError('Array or Matrix expected');\n } // SparseMatrix input is always 2d, flatten this into 1d if it's indeed a vector\n\n\n var sizeArray = size.valueOf().map(value => {\n return Array.isArray(value) && value.length === 1 ? value[0] : value;\n });\n\n if (sizeArray.length !== 2) {\n throw new Error('Only two dimensions matrix are supported');\n } // check sizes\n\n\n sizeArray.forEach(function (value) {\n if (!isNumber(value) || !isInteger(value) || value < 0) {\n throw new TypeError('Invalid size, must contain positive integers ' + '(size: ' + format(sizeArray) + ')');\n }\n }); // matrix to resize\n\n var m = copy ? this.clone() : this; // resize matrix\n\n return _resize(m, sizeArray[0], sizeArray[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[]} sizes The new size the matrix should have.\n * Since sparse matrices are always two-dimensional,\n * size must be two numbers in either an array or a matrix\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 (sizes, copy) {\n // validate arguments\n if (!isArray(sizes)) {\n throw new TypeError('Array expected');\n }\n\n if (sizes.length !== 2) {\n throw new Error('Sparse matrices can only be reshaped in two dimensions');\n } // check sizes\n\n\n sizes.forEach(function (value) {\n if (!isNumber(value) || !isInteger(value) || value <= -2 || value === 0) {\n throw new TypeError('Invalid size, must contain positive integers or -1 ' + '(size: ' + format(sizes) + ')');\n }\n });\n var currentLength = this._size[0] * this._size[1];\n sizes = processSizesWildcard(sizes, currentLength);\n var newLength = sizes[0] * sizes[1]; // m * n must not change\n\n if (currentLength !== newLength) {\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] === sizes[0] && this._size[1] === sizes[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 % sizes[1];\n rowIndex[_i] = Math.floor(flat / sizes[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 = sizes[1] + 1;\n m._size = sizes.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 ? clone(this._values) : undefined,\n index: clone(this._index),\n ptr: clone(this._ptr),\n size: 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 args = maxArgumentCount(callback);\n\n var invoke = function invoke(v, i, j) {\n // invoke callback\n if (args === 1) return callback(v);\n if (args === 2) return callback(v, [i, j]);\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];\n\n if (skipZeros) {\n // loop k within [k0, k1[\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 // value @ k\n invoke(matrix._values[k], i - minRow, j - minColumn);\n }\n }\n } else {\n // create a cache holding all defined values\n var _values = {};\n\n for (var _k = k0; _k < k1; _k++) {\n var _i4 = matrix._index[_k];\n _values[_i4] = matrix._values[_k];\n } // loop over all rows (indexes can be unordered so we can't use that),\n // and either read the value or zero\n\n\n for (var _i5 = minRow; _i5 <= maxRow; _i5++) {\n var value = _i5 in _values ? _values[_i5] : 0;\n invoke(value, _i5 - 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,\n index,\n 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 * If false, the indices are guaranteed to be in order,\n * if true, the indices can be unordered.\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];\n\n if (skipZeros) {\n // loop k within [k0, k1[\n for (var k = k0; k < k1; k++) {\n // row index\n var i = this._index[k]; // value @ k\n\n callback(this._values[k], [i, j], me);\n }\n } else {\n // create a cache holding all defined values\n var values = {};\n\n for (var _k2 = k0; _k2 < k1; _k2++) {\n var _i6 = this._index[_k2];\n values[_i6] = this._values[_k2];\n } // loop over all rows (indexes can be unordered so we can't use that),\n // and either read the value or zero\n\n\n for (var _i7 = 0; _i7 < rows; _i7++) {\n var value = _i7 in values ? values[_i7] : 0;\n callback(value, [_i7, j], me);\n }\n }\n }\n };\n /**\n * Iterate over the matrix elements, skipping zeros\n * @return {Iterable<{ value, index: number[] }>}\n */\n\n\n SparseMatrix.prototype[Symbol.iterator] = function* () {\n if (!this._values) {\n throw new Error('Cannot iterate a Pattern only matrix');\n }\n\n var columns = this._size[1];\n\n for (var j = 0; j < columns; j++) {\n var k0 = this._ptr[j];\n var k1 = this._ptr[j + 1];\n\n for (var k = k0; k < k1; k++) {\n // row index\n var i = this._index[k];\n yield {\n value: this._values[k],\n index: [i, j]\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 ? 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 [' + format(rows, options) + ' x ' + format(columns, options) + '] density: ' + 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 (' + format(i, options) + ', ' + format(j, options) + ') ==> ' + (this._values ? 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 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 (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,\n index,\n 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 {number} [defaultValue] The default value for non-diagonal\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 (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 (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 (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,\n index,\n 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 };\n\n return SparseMatrix;\n}, {\n isClass: true\n});","import { factory } from '../../utils/factory.js';\nvar name = 'bin';\nvar dependencies = ['typed', 'format'];\n/**\n * Format a number as binary.\n *\n * Syntax:\n *\n * math.bin(value)\n *\n * Examples:\n *\n * //the following outputs \"0b10\"\n * math.bin(2)\n *\n * See also:\n *\n * oct\n * hex\n *\n * @param {number} value Value to be stringified\n * @param {number} wordSize Optional word size (see `format`)\n * @return {string} The formatted value\n */\n\nexport var createBin = factory(name, dependencies, _ref => {\n var {\n typed,\n format\n } = _ref;\n return typed(name, {\n 'number | BigNumber': function numberBigNumber(n) {\n return format(n, {\n notation: 'bin'\n });\n },\n 'number | BigNumber, number': function numberBigNumberNumber(n, wordSize) {\n return format(n, {\n notation: 'bin',\n wordSize\n });\n }\n });\n});","import { factory } from '../../utils/factory.js';\nimport { createTrigUnit } from './trigUnit.js';\nvar name = 'cos';\nvar dependencies = ['typed'];\nexport var createCos = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed\n } = _ref;\n var trigUnit = createTrigUnit({\n typed\n });\n /**\n * Calculate the cosine of a value.\n *\n * To avoid confusion with the matrix cosine, this function does not\n * apply to matrices.\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} x Function input\n * @return {number | BigNumber | Complex} Cosine of x\n */\n\n return typed(name, {\n number: Math.cos,\n 'Complex | BigNumber': x => x.cos()\n }, trigUnit);\n});","import { factory } from '../../../utils/factory.js';\nvar name = 'matrix';\nvar dependencies = ['typed', 'Matrix', 'DenseMatrix', 'SparseMatrix'];\nexport var createMatrix = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n Matrix,\n DenseMatrix,\n SparseMatrix\n } = _ref;\n\n /**\n * Create a Matrix. The function creates a new `math.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, either `'dense'` or `'sparse'`\n * @param {string} [datatype] Type of the values\n *\n * @return {Matrix} The created matrix\n */\n return typed(name, {\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 /**\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 if (format === 'dense' || format === 'default' || format === undefined) {\n return new DenseMatrix(data, datatype);\n }\n\n if (format === 'sparse') {\n return new SparseMatrix(data, datatype);\n }\n\n throw new TypeError('Unknown matrix type ' + JSON.stringify(format) + '.');\n }\n});","import { factory } from '../../../utils/factory.js';\nvar name = 'matAlgo11xS0s';\nvar dependencies = ['typed', 'equalScalar'];\nexport var createMatAlgo11xS0s = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n equalScalar\n } = _ref;\n\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 return function matAlgo11xS0s(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 = []; // 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 s.createSparseMatrix({\n values: cvalues,\n index: cindex,\n ptr: cptr,\n size: [rows, columns],\n datatype: dt\n });\n };\n});","import { factory } from '../../../utils/factory.js';\nvar name = 'matAlgo12xSfs';\nvar dependencies = ['typed', 'DenseMatrix'];\nexport var createMatAlgo12xSfs = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n DenseMatrix\n } = _ref;\n\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 return function matAlgo12xSfs(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 = []; // 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 dense matrix\n\n\n return new DenseMatrix({\n data: cdata,\n size: [rows, columns],\n datatype: dt\n });\n };\n});","import { factory } from '../../../utils/factory.js';\nimport { clone } from '../../../utils/object.js';\nvar name = 'matAlgo14xDs';\nvar dependencies = ['typed'];\nexport var createMatAlgo14xDs = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed\n } = _ref;\n\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 return function matAlgo14xDs(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 a.createDenseMatrix({\n data: cdata,\n size: clone(asize),\n datatype: dt\n });\n }; // recursive function\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});","import { isBigNumber } from '../../utils/is.js';\nimport { isInteger } from '../../utils/number.js';\nimport { resize } from '../../utils/array.js';\nimport { factory } from '../../utils/factory.js';\nvar name = 'zeros';\nvar dependencies = ['typed', 'config', 'matrix', 'BigNumber'];\nexport var createZeros = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n config,\n matrix,\n BigNumber\n } = _ref;\n\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() // returns []\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|BigNumber) | 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 return typed(name, {\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 /**\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 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 (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?","import { factory } from '../../utils/factory.js';\nimport { createMatAlgo03xDSf } from '../../type/matrix/utils/matAlgo03xDSf.js';\nimport { createMatAlgo07xSSf } from '../../type/matrix/utils/matAlgo07xSSf.js';\nimport { createMatAlgo12xSfs } from '../../type/matrix/utils/matAlgo12xSfs.js';\nimport { createMatrixAlgorithmSuite } from '../../type/matrix/utils/matrixAlgorithmSuite.js';\nvar name = 'equal';\nvar dependencies = ['typed', 'matrix', 'equalScalar', 'DenseMatrix'];\nexport var createEqual = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n matrix,\n equalScalar,\n DenseMatrix\n } = _ref;\n var matAlgo03xDSf = createMatAlgo03xDSf({\n typed\n });\n var matAlgo07xSSf = createMatAlgo07xSSf({\n typed,\n DenseMatrix\n });\n var matAlgo12xSfs = createMatAlgo12xSfs({\n typed,\n DenseMatrix\n });\n var matrixAlgorithmSuite = createMatrixAlgorithmSuite({\n typed,\n matrix\n });\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 return typed(name, createEqualNumber({\n typed,\n equalScalar\n }), matrixAlgorithmSuite({\n elop: equalScalar,\n SS: matAlgo07xSSf,\n DS: matAlgo03xDSf,\n Ss: matAlgo12xSfs\n }));\n});\nexport var createEqualNumber = factory(name, ['typed', 'equalScalar'], _ref2 => {\n var {\n typed,\n equalScalar\n } = _ref2;\n return typed(name, {\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 });\n});","/**\n * Create a syntax error with the message:\n * 'Wrong number of arguments in function ( provided, - 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 */\nexport function 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}\nArgumentsError.prototype = new Error();\nArgumentsError.prototype.constructor = Error;\nArgumentsError.prototype.name = 'ArgumentsError';\nArgumentsError.prototype.isArgumentsError = true;","import { isBigNumber, isMatrix } from '../../utils/is.js';\nimport { DimensionError } from '../../error/DimensionError.js';\nimport { ArgumentsError } from '../../error/ArgumentsError.js';\nimport { isInteger } from '../../utils/number.js';\nimport { format } from '../../utils/string.js';\nimport { clone } from '../../utils/object.js';\nimport { resize as arrayResize } from '../../utils/array.js';\nimport { factory } from '../../utils/factory.js';\nvar name = 'resize';\nvar dependencies = ['config', 'matrix'];\nexport var createResize = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n config,\n matrix\n } = _ref;\n\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 return 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 (isMatrix(size)) {\n size = size.valueOf(); // get Array\n }\n\n if (isBigNumber(size[0])) {\n // convert bignumbers to numbers\n size = size.map(function (value) {\n return !isBigNumber(value) ? value : value.toNumber();\n });\n } // check x is a Matrix\n\n\n if (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 = arrayResize(x, size, defaultValue);\n return asMatrix ? matrix(res) : res;\n }\n };\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});","import { factory } from '../../utils/factory.js';\nimport { deepMap } from '../../utils/collection.js';\nimport { createMatAlgo11xS0s } from '../../type/matrix/utils/matAlgo11xS0s.js';\nimport { createMatAlgo12xSfs } from '../../type/matrix/utils/matAlgo12xSfs.js';\nimport { createMatAlgo14xDs } from '../../type/matrix/utils/matAlgo14xDs.js';\nimport { roundNumber } from '../../plain/number/index.js';\nvar NO_INT = 'Number of decimals in function round must be an integer';\nvar name = 'round';\nvar dependencies = ['typed', 'matrix', 'equalScalar', 'zeros', 'BigNumber', 'DenseMatrix'];\nexport var createRound = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n matrix,\n equalScalar,\n zeros,\n BigNumber,\n DenseMatrix\n } = _ref;\n var matAlgo11xS0s = createMatAlgo11xS0s({\n typed,\n equalScalar\n });\n var matAlgo12xSfs = createMatAlgo12xSfs({\n typed,\n DenseMatrix\n });\n var matAlgo14xDs = createMatAlgo14xDs({\n typed\n });\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(3.22) // returns number 3\n * math.round(3.82) // returns number 4\n * math.round(-4.2) // returns number -4\n * math.round(-4.7) // returns number -5\n * math.round(3.22, 1) // returns number 3.2\n * math.round(3.88, 1) // returns number 3.9\n * math.round(-4.21, 1) // returns number -4.2\n * math.round(-4.71, 1) // returns number -4.7\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 return typed(name, {\n number: roundNumber,\n 'number, number': roundNumber,\n 'number, BigNumber': function numberBigNumber(x, n) {\n if (!n.isInteger()) {\n throw new TypeError(NO_INT);\n }\n\n return new BigNumber(x).toDecimalPlaces(n.toNumber());\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 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 'Fraction, BigNumber': function FractionBigNumber(x, n) {\n if (!n.isInteger()) {\n throw new TypeError(NO_INT);\n }\n\n return x.round(n.toNumber());\n },\n // deep map collection, skip zeros since round(0) = 0\n 'Array | Matrix': typed.referToSelf(self => x => deepMap(x, self, true)),\n 'SparseMatrix, number | BigNumber': typed.referToSelf(self => (x, y) => {\n return matAlgo11xS0s(x, y, self, false);\n }),\n 'DenseMatrix, number | BigNumber': typed.referToSelf(self => (x, y) => {\n return matAlgo14xDs(x, y, self, false);\n }),\n 'Array, number | BigNumber': typed.referToSelf(self => (x, y) => {\n // use matrix implementation\n return matAlgo14xDs(matrix(x), y, self, false).valueOf();\n }),\n 'number | Complex | BigNumber | Fraction, SparseMatrix': typed.referToSelf(self => (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 matAlgo12xSfs(y, x, self, true);\n }),\n 'number | Complex | BigNumber | Fraction, DenseMatrix': typed.referToSelf(self => (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 matAlgo14xDs(y, x, self, true);\n }),\n 'number | Complex | BigNumber | Fraction, Array': typed.referToSelf(self => (x, y) => {\n // use matrix implementation\n return matAlgo14xDs(matrix(y), x, self, true).valueOf();\n })\n });\n});","import { factory } from '../../utils/factory.js';\nimport { createMatAlgo03xDSf } from '../../type/matrix/utils/matAlgo03xDSf.js';\nimport { createMatAlgo07xSSf } from '../../type/matrix/utils/matAlgo07xSSf.js';\nimport { createMatAlgo12xSfs } from '../../type/matrix/utils/matAlgo12xSfs.js';\nimport { createMatrixAlgorithmSuite } from '../../type/matrix/utils/matrixAlgorithmSuite.js';\nvar name = 'unequal';\nvar dependencies = ['typed', 'config', 'equalScalar', 'matrix', 'DenseMatrix'];\nexport var createUnequal = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n config,\n equalScalar,\n matrix,\n DenseMatrix\n } = _ref;\n var matAlgo03xDSf = createMatAlgo03xDSf({\n typed\n });\n var matAlgo07xSSf = createMatAlgo07xSSf({\n typed,\n DenseMatrix\n });\n var matAlgo12xSfs = createMatAlgo12xSfs({\n typed,\n DenseMatrix\n });\n var matrixAlgorithmSuite = createMatrixAlgorithmSuite({\n typed,\n matrix\n });\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 return typed(name, createUnequalNumber({\n typed,\n equalScalar\n }), matrixAlgorithmSuite({\n elop: _unequal,\n SS: matAlgo07xSSf,\n DS: matAlgo03xDSf,\n Ss: matAlgo12xSfs\n }));\n\n function _unequal(x, y) {\n return !equalScalar(x, y);\n }\n});\nexport var createUnequalNumber = factory(name, ['typed', 'equalScalar'], _ref2 => {\n var {\n typed,\n equalScalar\n } = _ref2;\n return typed(name, {\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 });\n});","import { isArray, isMatrix } from '../../../utils/is.js';\nimport { factory } from '../../../utils/factory.js';\nimport { createSolveValidation } from './utils/solveValidation.js';\nimport { csIpvec } from '../sparse/csIpvec.js';\nvar name = 'lusolve';\nvar dependencies = ['typed', 'matrix', 'lup', 'slu', 'usolve', 'lsolve', 'DenseMatrix'];\nexport var createLusolve = /* #__PURE__ */factory(name, dependencies, _ref => {\n var {\n typed,\n matrix,\n lup,\n slu,\n usolve,\n lsolve,\n DenseMatrix\n } = _ref;\n var solveValidation = createSolveValidation({\n DenseMatrix\n });\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 return typed(name, {\n 'Array, Array | Matrix': function ArrayArrayMatrix(a, b) {\n a = matrix(a);\n var d = lup(a);\n\n var x = _lusolve(d.L, d.U, d.p, null, b);\n\n return x.valueOf();\n },\n 'DenseMatrix, Array | Matrix': function DenseMatrixArrayMatrix(a, b) {\n var d = lup(a);\n return _lusolve(d.L, d.U, d.p, null, b);\n },\n 'SparseMatrix, Array | Matrix': function SparseMatrixArrayMatrix(a, b) {\n var d = lup(a);\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 var d = slu(a, order, threshold);\n return _lusolve(d.L, d.U, d.p, d.q, b);\n },\n 'Object, Array | Matrix': function ObjectArrayMatrix(d, b) {\n return _lusolve(d.L, d.U, d.p, d.q, b);\n }\n });\n\n function _toMatrix(a) {\n if (isMatrix(a)) {\n return a;\n }\n\n if (isArray(a)) {\n return matrix(a);\n }\n\n throw new TypeError('Invalid Matrix LU decomposition');\n }\n\n function _lusolve(l, u, p, q, b) {\n // verify decomposition\n l = _toMatrix(l);\n u = _toMatrix(u); // apply row permutations if needed (b is a DenseMatrix)\n\n if (p) {\n b = solveValidation(l, b, true);\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 }\n\n return x;\n }\n});","/**\n * THIS FILE IS AUTO-GENERATED\n * DON'T MAKE CHANGES HERE\n */\nimport { config } from './configReadonly.js';\nimport { createBigNumberClass, createComplexClass, createE, createFalse, createFineStructure, createFractionClass, createI, createInfinity, createLN10, createLOG10E, createMatrixClass, createNaN, createNull, createPhi, createRangeClass, createResultSet, createSQRT1_2, // eslint-disable-line camelcase\ncreateSackurTetrode, createTau, createTrue, createVersion, createDenseMatrixClass, createEfimovFactor, createLN2, createPi, createReplacer, createSQRT2, createTyped, createUnaryPlus, createWeakMixingAngle, createAbs, createAcos, createAcot, createAcsc, createAddScalar, createArg, createAsech, createAsinh, createAtan, createAtanh, createBignumber, createBitNot, createBoolean, createClone, createCombinations, createComplex, createConj, createCosh, createCoth, createCsc, createCube, createEqualScalar, createErf, createExp, createExpm1, createFilter, createForEach, createFormat, createGetMatrixDataType, createHex, createIm, createIsInteger, createIsNegative, createIsPositive, createIsZero, createLOG2E, createLgamma, createLog10, createLog2, createMap, createMultiplyScalar, createNot, createNumber, createOct, createPickRandom, createPrint, createRandom, createRe, createSec, createSign, createSin, createSparseMatrixClass, createSplitUnit, createSquare, createString, createTan, createTypeOf, createAcosh, createAcsch, createApply, createAsec, createBin, createCombinationsWithRep, createCos, createCsch, createIsNaN, createIsPrime, createRandomInt, createSech, createSinh, createSparse, createSqrt, createTanh, createUnaryMinus, createAcoth, createCot, createFraction, createIsNumeric, createMatrix, createMatrixFromFunction, createMod, createNthRoot, createNumeric, createOr, createProd, createReshape, createSize, createSmaller, createSqueeze, createSubset, createSubtract, createTo, createTranspose, createXgcd, createZeros, createAnd, createBitAnd, createBitXor, createCbrt, createCompare, createCompareText, createConcat, createCount, createCtranspose, createDiag, createDivideScalar, createDotDivide, createEqual, createFft, createFlatten, createGcd, createHasNumericValue, createHypot, createIfft, createKron, createLargerEq, createLeftShift, createLsolve, createMatrixFromColumns, createMin, createMode, createNthRoots, createOnes, createPartitionSelect, createResize, createRightArithShift, createRound, createSmallerEq, createUnequal, createUsolve, createXor, createAdd, createAtan2, createBitOr, createCatalan, createCompareNatural, createCumSum, createDeepEqual, createDiff, createDot, createEqualText, createFloor, createIdentity, createInvmod, createLarger, createLog, createLsolveAll, createMatrixFromRows, createMultiply, createQr, createRange, createRightLogShift, createSetSize, createSlu, createSum, createTrace, createUsolveAll, createAsin, createCeil, createComposition, createCross, createDet, createDistance, createDotMultiply, createFibonacciHeapClass, createFix, createImmutableDenseMatrixClass, createIndexClass, createIntersect, createLcm, createLog1p, createMax, createQuantileSeq, createRow, createSetCartesian, createSetDistinct, createSetIsSubset, createSetPowerset, createSort, createColumn, createIndex, createInv, createPinv, createPow, createSetDifference, createSetMultiplicity, createSpaClass, createSqrtm, createUnitClass, createVacuumImpedance, createWienDisplacement, createAtomicMass, createBohrMagneton, createBoltzmann, createConductanceQuantum, createCreateUnit, createDeuteronMass, createDotPow, createElectricConstant, createElementaryCharge, createExpm, createFaraday, createFirstRadiation, createGamma, createGravitationConstant, createHartreeEnergy, createKlitzing, createLoschmidt, createMagneticConstant, createMolarMass, createMolarPlanckConstant, createNeutronMass, createNuclearMagneton, createPlanckCharge, createPlanckLength, createPlanckTemperature, createProtonMass, createReducedPlanckConstant, createRydberg, createSetIntersect, createSpeedOfLight, createStefanBoltzmann, createThomsonCrossSection, createAvogadro, createBohrRadius, createCoulomb, createDivide, createElectronMass, createFactorial, createGravity, createInverseConductanceQuantum, createLup, createMagneticFluxQuantum, createMolarMassC12, createMultinomial, createPermutations, createPlanckMass, createQuantumOfCirculation, createSecondRadiation, createStirlingS2, createUnitFunction, createBellNumbers, createEigs, createFermiCoupling, createMean, createMolarVolume, createPlanckConstant, createSetSymDifference, createVariance, createClassicalElectronRadius, createLusolve, createMedian, createSetUnion, createStd, createGasConstant, createMad, createNorm, createRotationMatrix, createKldivergence, createRotate, createPlanckTime } from '../factoriesAny.js';\nexport var BigNumber = /* #__PURE__ */createBigNumberClass({\n config\n});\nexport var Complex = /* #__PURE__ */createComplexClass({});\nexport var e = /* #__PURE__ */createE({\n BigNumber,\n config\n});\nexport var _false = /* #__PURE__ */createFalse({});\nexport var fineStructure = /* #__PURE__ */createFineStructure({\n BigNumber,\n config\n});\nexport var Fraction = /* #__PURE__ */createFractionClass({});\nexport var i = /* #__PURE__ */createI({\n Complex\n});\nexport var _Infinity = /* #__PURE__ */createInfinity({\n BigNumber,\n config\n});\nexport var LN10 = /* #__PURE__ */createLN10({\n BigNumber,\n config\n});\nexport var LOG10E = /* #__PURE__ */createLOG10E({\n BigNumber,\n config\n});\nexport var Matrix = /* #__PURE__ */createMatrixClass({});\nexport var _NaN = /* #__PURE__ */createNaN({\n BigNumber,\n config\n});\nexport var _null = /* #__PURE__ */createNull({});\nexport var phi = /* #__PURE__ */createPhi({\n BigNumber,\n config\n});\nexport var Range = /* #__PURE__ */createRangeClass({});\nexport var ResultSet = /* #__PURE__ */createResultSet({});\nexport var SQRT1_2 = /* #__PURE__ */createSQRT1_2({\n BigNumber,\n config\n});\nexport var sackurTetrode = /* #__PURE__ */createSackurTetrode({\n BigNumber,\n config\n});\nexport var tau = /* #__PURE__ */createTau({\n BigNumber,\n config\n});\nexport var _true = /* #__PURE__ */createTrue({});\nexport var version = /* #__PURE__ */createVersion({});\nexport var DenseMatrix = /* #__PURE__ */createDenseMatrixClass({\n Matrix\n});\nexport var efimovFactor = /* #__PURE__ */createEfimovFactor({\n BigNumber,\n config\n});\nexport var LN2 = /* #__PURE__ */createLN2({\n BigNumber,\n config\n});\nexport var pi = /* #__PURE__ */createPi({\n BigNumber,\n config\n});\nexport var replacer = /* #__PURE__ */createReplacer({});\nexport var SQRT2 = /* #__PURE__ */createSQRT2({\n BigNumber,\n config\n});\nexport var typed = /* #__PURE__ */createTyped({\n BigNumber,\n Complex,\n DenseMatrix,\n Fraction\n});\nexport var unaryPlus = /* #__PURE__ */createUnaryPlus({\n BigNumber,\n config,\n typed\n});\nexport var weakMixingAngle = /* #__PURE__ */createWeakMixingAngle({\n BigNumber,\n config\n});\nexport var abs = /* #__PURE__ */createAbs({\n typed\n});\nexport var acos = /* #__PURE__ */createAcos({\n Complex,\n config,\n typed\n});\nexport var acot = /* #__PURE__ */createAcot({\n BigNumber,\n typed\n});\nexport var acsc = /* #__PURE__ */createAcsc({\n BigNumber,\n Complex,\n config,\n typed\n});\nexport var addScalar = /* #__PURE__ */createAddScalar({\n typed\n});\nexport var arg = /* #__PURE__ */createArg({\n typed\n});\nexport var asech = /* #__PURE__ */createAsech({\n BigNumber,\n Complex,\n config,\n typed\n});\nexport var asinh = /* #__PURE__ */createAsinh({\n typed\n});\nexport var atan = /* #__PURE__ */createAtan({\n typed\n});\nexport var atanh = /* #__PURE__ */createAtanh({\n Complex,\n config,\n typed\n});\nexport var bignumber = /* #__PURE__ */createBignumber({\n BigNumber,\n typed\n});\nexport var bitNot = /* #__PURE__ */createBitNot({\n typed\n});\nexport var boolean = /* #__PURE__ */createBoolean({\n typed\n});\nexport var clone = /* #__PURE__ */createClone({\n typed\n});\nexport var combinations = /* #__PURE__ */createCombinations({\n typed\n});\nexport var complex = /* #__PURE__ */createComplex({\n Complex,\n typed\n});\nexport var conj = /* #__PURE__ */createConj({\n typed\n});\nexport var cosh = /* #__PURE__ */createCosh({\n typed\n});\nexport var coth = /* #__PURE__ */createCoth({\n BigNumber,\n typed\n});\nexport var csc = /* #__PURE__ */createCsc({\n BigNumber,\n typed\n});\nexport var cube = /* #__PURE__ */createCube({\n typed\n});\nexport var equalScalar = /* #__PURE__ */createEqualScalar({\n config,\n typed\n});\nexport var erf = /* #__PURE__ */createErf({\n typed\n});\nexport var exp = /* #__PURE__ */createExp({\n typed\n});\nexport var expm1 = /* #__PURE__ */createExpm1({\n Complex,\n typed\n});\nexport var filter = /* #__PURE__ */createFilter({\n typed\n});\nexport var forEach = /* #__PURE__ */createForEach({\n typed\n});\nexport var format = /* #__PURE__ */createFormat({\n typed\n});\nexport var getMatrixDataType = /* #__PURE__ */createGetMatrixDataType({\n typed\n});\nexport var hex = /* #__PURE__ */createHex({\n format,\n typed\n});\nexport var im = /* #__PURE__ */createIm({\n typed\n});\nexport var isInteger = /* #__PURE__ */createIsInteger({\n typed\n});\nexport var isNegative = /* #__PURE__ */createIsNegative({\n typed\n});\nexport var isPositive = /* #__PURE__ */createIsPositive({\n typed\n});\nexport var isZero = /* #__PURE__ */createIsZero({\n typed\n});\nexport var LOG2E = /* #__PURE__ */createLOG2E({\n BigNumber,\n config\n});\nexport var lgamma = /* #__PURE__ */createLgamma({\n Complex,\n typed\n});\nexport var log10 = /* #__PURE__ */createLog10({\n Complex,\n config,\n typed\n});\nexport var log2 = /* #__PURE__ */createLog2({\n Complex,\n config,\n typed\n});\nexport var map = /* #__PURE__ */createMap({\n typed\n});\nexport var multiplyScalar = /* #__PURE__ */createMultiplyScalar({\n typed\n});\nexport var not = /* #__PURE__ */createNot({\n typed\n});\nexport var number = /* #__PURE__ */createNumber({\n typed\n});\nexport var oct = /* #__PURE__ */createOct({\n format,\n typed\n});\nexport var pickRandom = /* #__PURE__ */createPickRandom({\n config,\n typed\n});\nexport var print = /* #__PURE__ */createPrint({\n typed\n});\nexport var random = /* #__PURE__ */createRandom({\n config,\n typed\n});\nexport var re = /* #__PURE__ */createRe({\n typed\n});\nexport var sec = /* #__PURE__ */createSec({\n BigNumber,\n typed\n});\nexport var sign = /* #__PURE__ */createSign({\n BigNumber,\n Fraction,\n complex,\n typed\n});\nexport var sin = /* #__PURE__ */createSin({\n typed\n});\nexport var SparseMatrix = /* #__PURE__ */createSparseMatrixClass({\n Matrix,\n equalScalar,\n typed\n});\nexport var splitUnit = /* #__PURE__ */createSplitUnit({\n typed\n});\nexport var square = /* #__PURE__ */createSquare({\n typed\n});\nexport var string = /* #__PURE__ */createString({\n typed\n});\nexport var tan = /* #__PURE__ */createTan({\n typed\n});\nexport var typeOf = /* #__PURE__ */createTypeOf({\n typed\n});\nexport var acosh = /* #__PURE__ */createAcosh({\n Complex,\n config,\n typed\n});\nexport var acsch = /* #__PURE__ */createAcsch({\n BigNumber,\n typed\n});\nexport var apply = /* #__PURE__ */createApply({\n isInteger,\n typed\n});\nexport var asec = /* #__PURE__ */createAsec({\n BigNumber,\n Complex,\n config,\n typed\n});\nexport var bin = /* #__PURE__ */createBin({\n format,\n typed\n});\nexport var combinationsWithRep = /* #__PURE__ */createCombinationsWithRep({\n typed\n});\nexport var cos = /* #__PURE__ */createCos({\n typed\n});\nexport var csch = /* #__PURE__ */createCsch({\n BigNumber,\n typed\n});\nexport var isNaN = /* #__PURE__ */createIsNaN({\n typed\n});\nexport var isPrime = /* #__PURE__ */createIsPrime({\n typed\n});\nexport var randomInt = /* #__PURE__ */createRandomInt({\n config,\n typed\n});\nexport var sech = /* #__PURE__ */createSech({\n BigNumber,\n typed\n});\nexport var sinh = /* #__PURE__ */createSinh({\n typed\n});\nexport var sparse = /* #__PURE__ */createSparse({\n SparseMatrix,\n typed\n});\nexport var sqrt = /* #__PURE__ */createSqrt({\n Complex,\n config,\n typed\n});\nexport var tanh = /* #__PURE__ */createTanh({\n typed\n});\nexport var unaryMinus = /* #__PURE__ */createUnaryMinus({\n typed\n});\nexport var acoth = /* #__PURE__ */createAcoth({\n BigNumber,\n Complex,\n config,\n typed\n});\nexport var cot = /* #__PURE__ */createCot({\n BigNumber,\n typed\n});\nexport var fraction = /* #__PURE__ */createFraction({\n Fraction,\n typed\n});\nexport var isNumeric = /* #__PURE__ */createIsNumeric({\n typed\n});\nexport var matrix = /* #__PURE__ */createMatrix({\n DenseMatrix,\n Matrix,\n SparseMatrix,\n typed\n});\nexport var matrixFromFunction = /* #__PURE__ */createMatrixFromFunction({\n isZero,\n matrix,\n typed\n});\nexport var mod = /* #__PURE__ */createMod({\n DenseMatrix,\n equalScalar,\n matrix,\n typed\n});\nexport var nthRoot = /* #__PURE__ */createNthRoot({\n BigNumber,\n equalScalar,\n matrix,\n typed\n});\nexport var numeric = /* #__PURE__ */createNumeric({\n bignumber,\n fraction,\n number\n});\nexport var or = /* #__PURE__ */createOr({\n DenseMatrix,\n equalScalar,\n matrix,\n typed\n});\nexport var prod = /* #__PURE__ */createProd({\n config,\n multiplyScalar,\n numeric,\n typed\n});\nexport var reshape = /* #__PURE__ */createReshape({\n isInteger,\n matrix,\n typed\n});\nexport var size = /* #__PURE__ */createSize({\n matrix,\n config,\n typed\n});\nexport var smaller = /* #__PURE__ */createSmaller({\n DenseMatrix,\n config,\n matrix,\n typed\n});\nexport var squeeze = /* #__PURE__ */createSqueeze({\n matrix,\n typed\n});\nexport var subset = /* #__PURE__ */createSubset({\n matrix,\n typed\n});\nexport var subtract = /* #__PURE__ */createSubtract({\n DenseMatrix,\n addScalar,\n equalScalar,\n matrix,\n typed,\n unaryMinus\n});\nexport var to = /* #__PURE__ */createTo({\n matrix,\n typed\n});\nexport var transpose = /* #__PURE__ */createTranspose({\n matrix,\n typed\n});\nexport var xgcd = /* #__PURE__ */createXgcd({\n BigNumber,\n config,\n matrix,\n typed\n});\nexport var zeros = /* #__PURE__ */createZeros({\n BigNumber,\n config,\n matrix,\n typed\n});\nexport var and = /* #__PURE__ */createAnd({\n equalScalar,\n matrix,\n not,\n typed,\n zeros\n});\nexport var bitAnd = /* #__PURE__ */createBitAnd({\n equalScalar,\n matrix,\n typed\n});\nexport var bitXor = /* #__PURE__ */createBitXor({\n DenseMatrix,\n matrix,\n typed\n});\nexport var cbrt = /* #__PURE__ */createCbrt({\n BigNumber,\n Complex,\n Fraction,\n config,\n isNegative,\n matrix,\n typed,\n unaryMinus\n});\nexport var compare = /* #__PURE__ */createCompare({\n BigNumber,\n DenseMatrix,\n Fraction,\n config,\n equalScalar,\n matrix,\n typed\n});\nexport var compareText = /* #__PURE__ */createCompareText({\n matrix,\n typed\n});\nexport var concat = /* #__PURE__ */createConcat({\n isInteger,\n matrix,\n typed\n});\nexport var count = /* #__PURE__ */createCount({\n prod,\n size,\n typed\n});\nexport var ctranspose = /* #__PURE__ */createCtranspose({\n conj,\n transpose,\n typed\n});\nexport var diag = /* #__PURE__ */createDiag({\n DenseMatrix,\n SparseMatrix,\n matrix,\n typed\n});\nexport var divideScalar = /* #__PURE__ */createDivideScalar({\n numeric,\n typed\n});\nexport var dotDivide = /* #__PURE__ */createDotDivide({\n DenseMatrix,\n divideScalar,\n equalScalar,\n matrix,\n typed\n});\nexport var equal = /* #__PURE__ */createEqual({\n DenseMatrix,\n equalScalar,\n matrix,\n typed\n});\nexport var fft = /* #__PURE__ */createFft({\n addScalar,\n divideScalar,\n exp,\n i,\n matrix,\n multiplyScalar,\n tau,\n typed\n});\nexport var flatten = /* #__PURE__ */createFlatten({\n matrix,\n typed\n});\nexport var gcd = /* #__PURE__ */createGcd({\n BigNumber,\n DenseMatrix,\n equalScalar,\n matrix,\n typed\n});\nexport var hasNumericValue = /* #__PURE__ */createHasNumericValue({\n isNumeric,\n typed\n});\nexport var hypot = /* #__PURE__ */createHypot({\n abs,\n addScalar,\n divideScalar,\n isPositive,\n multiplyScalar,\n smaller,\n sqrt,\n typed\n});\nexport var ifft = /* #__PURE__ */createIfft({\n conj,\n dotDivide,\n fft,\n typed\n});\nexport var kron = /* #__PURE__ */createKron({\n matrix,\n multiplyScalar,\n typed\n});\nexport var largerEq = /* #__PURE__ */createLargerEq({\n DenseMatrix,\n config,\n matrix,\n typed\n});\nexport var leftShift = /* #__PURE__ */createLeftShift({\n DenseMatrix,\n equalScalar,\n matrix,\n typed,\n zeros\n});\nexport var lsolve = /* #__PURE__ */createLsolve({\n DenseMatrix,\n divideScalar,\n equalScalar,\n matrix,\n multiplyScalar,\n subtract,\n typed\n});\nexport var matrixFromColumns = /* #__PURE__ */createMatrixFromColumns({\n flatten,\n matrix,\n size,\n typed\n});\nexport var min = /* #__PURE__ */createMin({\n config,\n numeric,\n smaller,\n typed\n});\nexport var mode = /* #__PURE__ */createMode({\n isNaN,\n isNumeric,\n typed\n});\nexport var nthRoots = /* #__PURE__ */createNthRoots({\n Complex,\n config,\n divideScalar,\n typed\n});\nexport var ones = /* #__PURE__ */createOnes({\n BigNumber,\n config,\n matrix,\n typed\n});\nexport var partitionSelect = /* #__PURE__ */createPartitionSelect({\n compare,\n isNaN,\n isNumeric,\n typed\n});\nexport var resize = /* #__PURE__ */createResize({\n config,\n matrix\n});\nexport var rightArithShift = /* #__PURE__ */createRightArithShift({\n DenseMatrix,\n equalScalar,\n matrix,\n typed,\n zeros\n});\nexport var round = /* #__PURE__ */createRound({\n BigNumber,\n DenseMatrix,\n equalScalar,\n matrix,\n typed,\n zeros\n});\nexport var smallerEq = /* #__PURE__ */createSmallerEq({\n DenseMatrix,\n config,\n matrix,\n typed\n});\nexport var unequal = /* #__PURE__ */createUnequal({\n DenseMatrix,\n config,\n equalScalar,\n matrix,\n typed\n});\nexport var usolve = /* #__PURE__ */createUsolve({\n DenseMatrix,\n divideScalar,\n equalScalar,\n matrix,\n multiplyScalar,\n subtract,\n typed\n});\nexport var xor = /* #__PURE__ */createXor({\n DenseMatrix,\n matrix,\n typed\n});\nexport var add = /* #__PURE__ */createAdd({\n DenseMatrix,\n SparseMatrix,\n addScalar,\n equalScalar,\n matrix,\n typed\n});\nexport var atan2 = /* #__PURE__ */createAtan2({\n BigNumber,\n DenseMatrix,\n equalScalar,\n matrix,\n typed\n});\nexport var bitOr = /* #__PURE__ */createBitOr({\n DenseMatrix,\n equalScalar,\n matrix,\n typed\n});\nexport var catalan = /* #__PURE__ */createCatalan({\n addScalar,\n combinations,\n divideScalar,\n isInteger,\n isNegative,\n multiplyScalar,\n typed\n});\nexport var compareNatural = /* #__PURE__ */createCompareNatural({\n compare,\n typed\n});\nexport var cumsum = /* #__PURE__ */createCumSum({\n add,\n typed,\n unaryPlus\n});\nexport var deepEqual = /* #__PURE__ */createDeepEqual({\n equal,\n typed\n});\nexport var diff = /* #__PURE__ */createDiff({\n matrix,\n number,\n subtract,\n typed\n});\nexport var dot = /* #__PURE__ */createDot({\n addScalar,\n conj,\n multiplyScalar,\n size,\n typed\n});\nexport var equalText = /* #__PURE__ */createEqualText({\n compareText,\n isZero,\n typed\n});\nexport var floor = /* #__PURE__ */createFloor({\n DenseMatrix,\n config,\n equalScalar,\n matrix,\n round,\n typed,\n zeros\n});\nexport var identity = /* #__PURE__ */createIdentity({\n BigNumber,\n DenseMatrix,\n SparseMatrix,\n config,\n matrix,\n typed\n});\nexport var invmod = /* #__PURE__ */createInvmod({\n BigNumber,\n add,\n config,\n equal,\n isInteger,\n mod,\n smaller,\n typed,\n xgcd\n});\nexport var larger = /* #__PURE__ */createLarger({\n DenseMatrix,\n config,\n matrix,\n typed\n});\nexport var log = /* #__PURE__ */createLog({\n Complex,\n config,\n divideScalar,\n typed\n});\nexport var lsolveAll = /* #__PURE__ */createLsolveAll({\n DenseMatrix,\n divideScalar,\n equalScalar,\n matrix,\n multiplyScalar,\n subtract,\n typed\n});\nexport var matrixFromRows = /* #__PURE__ */createMatrixFromRows({\n flatten,\n matrix,\n size,\n typed\n});\nexport var multiply = /* #__PURE__ */createMultiply({\n addScalar,\n dot,\n equalScalar,\n matrix,\n multiplyScalar,\n typed\n});\nexport var qr = /* #__PURE__ */createQr({\n addScalar,\n complex,\n conj,\n divideScalar,\n equal,\n identity,\n isZero,\n matrix,\n multiplyScalar,\n sign,\n sqrt,\n subtract,\n typed,\n unaryMinus,\n zeros\n});\nexport var range = /* #__PURE__ */createRange({\n bignumber,\n matrix,\n config,\n larger,\n largerEq,\n smaller,\n smallerEq,\n typed\n});\nexport var rightLogShift = /* #__PURE__ */createRightLogShift({\n DenseMatrix,\n equalScalar,\n matrix,\n typed,\n zeros\n});\nexport var setSize = /* #__PURE__ */createSetSize({\n compareNatural,\n typed\n});\nexport var slu = /* #__PURE__ */createSlu({\n SparseMatrix,\n abs,\n add,\n divideScalar,\n larger,\n largerEq,\n multiply,\n subtract,\n transpose,\n typed\n});\nexport var sum = /* #__PURE__ */createSum({\n add,\n config,\n numeric,\n typed\n});\nexport var trace = /* #__PURE__ */createTrace({\n add,\n matrix,\n typed\n});\nexport var usolveAll = /* #__PURE__ */createUsolveAll({\n DenseMatrix,\n divideScalar,\n equalScalar,\n matrix,\n multiplyScalar,\n subtract,\n typed\n});\nexport var asin = /* #__PURE__ */createAsin({\n Complex,\n config,\n typed\n});\nexport var ceil = /* #__PURE__ */createCeil({\n DenseMatrix,\n config,\n equalScalar,\n matrix,\n round,\n typed,\n zeros\n});\nexport var composition = /* #__PURE__ */createComposition({\n addScalar,\n combinations,\n isInteger,\n isNegative,\n isPositive,\n larger,\n typed\n});\nexport var cross = /* #__PURE__ */createCross({\n matrix,\n multiply,\n subtract,\n typed\n});\nexport var det = /* #__PURE__ */createDet({\n divideScalar,\n isZero,\n matrix,\n multiply,\n subtract,\n typed,\n unaryMinus\n});\nexport var distance = /* #__PURE__ */createDistance({\n abs,\n addScalar,\n divideScalar,\n multiplyScalar,\n sqrt,\n subtract,\n typed,\n unaryMinus\n});\nexport var dotMultiply = /* #__PURE__ */createDotMultiply({\n equalScalar,\n matrix,\n multiplyScalar,\n typed\n});\nexport var FibonacciHeap = /* #__PURE__ */createFibonacciHeapClass({\n larger,\n smaller\n});\nexport var fix = /* #__PURE__ */createFix({\n Complex,\n DenseMatrix,\n ceil,\n equalScalar,\n floor,\n matrix,\n typed,\n zeros\n});\nexport var ImmutableDenseMatrix = /* #__PURE__ */createImmutableDenseMatrixClass({\n DenseMatrix,\n smaller\n});\nexport var Index = /* #__PURE__ */createIndexClass({\n ImmutableDenseMatrix\n});\nexport var intersect = /* #__PURE__ */createIntersect({\n abs,\n add,\n addScalar,\n config,\n divideScalar,\n equalScalar,\n flatten,\n isNumeric,\n isZero,\n matrix,\n multiply,\n multiplyScalar,\n smaller,\n subtract,\n typed\n});\nexport var lcm = /* #__PURE__ */createLcm({\n equalScalar,\n matrix,\n typed\n});\nexport var log1p = /* #__PURE__ */createLog1p({\n Complex,\n config,\n divideScalar,\n log,\n typed\n});\nexport var max = /* #__PURE__ */createMax({\n config,\n larger,\n numeric,\n typed\n});\nexport var quantileSeq = /* #__PURE__ */createQuantileSeq({\n add,\n compare,\n multiply,\n partitionSelect,\n typed\n});\nexport var row = /* #__PURE__ */createRow({\n Index,\n matrix,\n range,\n typed\n});\nexport var setCartesian = /* #__PURE__ */createSetCartesian({\n DenseMatrix,\n Index,\n compareNatural,\n size,\n subset,\n typed\n});\nexport var setDistinct = /* #__PURE__ */createSetDistinct({\n DenseMatrix,\n Index,\n compareNatural,\n size,\n subset,\n typed\n});\nexport var setIsSubset = /* #__PURE__ */createSetIsSubset({\n Index,\n compareNatural,\n size,\n subset,\n typed\n});\nexport var setPowerset = /* #__PURE__ */createSetPowerset({\n Index,\n compareNatural,\n size,\n subset,\n typed\n});\nexport var sort = /* #__PURE__ */createSort({\n compare,\n compareNatural,\n matrix,\n typed\n});\nexport var column = /* #__PURE__ */createColumn({\n Index,\n matrix,\n range,\n typed\n});\nexport var index = /* #__PURE__ */createIndex({\n Index,\n typed\n});\nexport var inv = /* #__PURE__ */createInv({\n abs,\n addScalar,\n det,\n divideScalar,\n identity,\n matrix,\n multiply,\n typed,\n unaryMinus\n});\nexport var pinv = /* #__PURE__ */createPinv({\n Complex,\n add,\n ctranspose,\n deepEqual,\n divideScalar,\n dot,\n dotDivide,\n equal,\n inv,\n matrix,\n multiply,\n typed\n});\nexport var pow = /* #__PURE__ */createPow({\n Complex,\n config,\n fraction,\n identity,\n inv,\n matrix,\n multiply,\n number,\n typed\n});\nexport var setDifference = /* #__PURE__ */createSetDifference({\n DenseMatrix,\n Index,\n compareNatural,\n size,\n subset,\n typed\n});\nexport var setMultiplicity = /* #__PURE__ */createSetMultiplicity({\n Index,\n compareNatural,\n size,\n subset,\n typed\n});\nexport var Spa = /* #__PURE__ */createSpaClass({\n FibonacciHeap,\n addScalar,\n equalScalar\n});\nexport var sqrtm = /* #__PURE__ */createSqrtm({\n abs,\n add,\n identity,\n inv,\n map,\n max,\n multiply,\n size,\n sqrt,\n subtract,\n typed\n});\nexport var Unit = /* #__PURE__ */createUnitClass({\n BigNumber,\n Complex,\n Fraction,\n abs,\n addScalar,\n config,\n divideScalar,\n equal,\n fix,\n format,\n isNumeric,\n multiplyScalar,\n number,\n pow,\n round,\n subtract\n});\nexport var vacuumImpedance = /* #__PURE__ */createVacuumImpedance({\n BigNumber,\n Unit,\n config\n});\nexport var wienDisplacement = /* #__PURE__ */createWienDisplacement({\n BigNumber,\n Unit,\n config\n});\nexport var atomicMass = /* #__PURE__ */createAtomicMass({\n BigNumber,\n Unit,\n config\n});\nexport var bohrMagneton = /* #__PURE__ */createBohrMagneton({\n BigNumber,\n Unit,\n config\n});\nexport var boltzmann = /* #__PURE__ */createBoltzmann({\n BigNumber,\n Unit,\n config\n});\nexport var conductanceQuantum = /* #__PURE__ */createConductanceQuantum({\n BigNumber,\n Unit,\n config\n});\nexport var createUnit = /* #__PURE__ */createCreateUnit({\n Unit,\n typed\n});\nexport var deuteronMass = /* #__PURE__ */createDeuteronMass({\n BigNumber,\n Unit,\n config\n});\nexport var dotPow = /* #__PURE__ */createDotPow({\n DenseMatrix,\n equalScalar,\n matrix,\n pow,\n typed\n});\nexport var electricConstant = /* #__PURE__ */createElectricConstant({\n BigNumber,\n Unit,\n config\n});\nexport var elementaryCharge = /* #__PURE__ */createElementaryCharge({\n BigNumber,\n Unit,\n config\n});\nexport var expm = /* #__PURE__ */createExpm({\n abs,\n add,\n identity,\n inv,\n multiply,\n typed\n});\nexport var faraday = /* #__PURE__ */createFaraday({\n BigNumber,\n Unit,\n config\n});\nexport var firstRadiation = /* #__PURE__ */createFirstRadiation({\n BigNumber,\n Unit,\n config\n});\nexport var gamma = /* #__PURE__ */createGamma({\n BigNumber,\n Complex,\n config,\n multiplyScalar,\n pow,\n typed\n});\nexport var gravitationConstant = /* #__PURE__ */createGravitationConstant({\n BigNumber,\n Unit,\n config\n});\nexport var hartreeEnergy = /* #__PURE__ */createHartreeEnergy({\n BigNumber,\n Unit,\n config\n});\nexport var klitzing = /* #__PURE__ */createKlitzing({\n BigNumber,\n Unit,\n config\n});\nexport var loschmidt = /* #__PURE__ */createLoschmidt({\n BigNumber,\n Unit,\n config\n});\nexport var magneticConstant = /* #__PURE__ */createMagneticConstant({\n BigNumber,\n Unit,\n config\n});\nexport var molarMass = /* #__PURE__ */createMolarMass({\n BigNumber,\n Unit,\n config\n});\nexport var molarPlanckConstant = /* #__PURE__ */createMolarPlanckConstant({\n BigNumber,\n Unit,\n config\n});\nexport var neutronMass = /* #__PURE__ */createNeutronMass({\n BigNumber,\n Unit,\n config\n});\nexport var nuclearMagneton = /* #__PURE__ */createNuclearMagneton({\n BigNumber,\n Unit,\n config\n});\nexport var planckCharge = /* #__PURE__ */createPlanckCharge({\n BigNumber,\n Unit,\n config\n});\nexport var planckLength = /* #__PURE__ */createPlanckLength({\n BigNumber,\n Unit,\n config\n});\nexport var planckTemperature = /* #__PURE__ */createPlanckTemperature({\n BigNumber,\n Unit,\n config\n});\nexport var protonMass = /* #__PURE__ */createProtonMass({\n BigNumber,\n Unit,\n config\n});\nexport var reducedPlanckConstant = /* #__PURE__ */createReducedPlanckConstant({\n BigNumber,\n Unit,\n config\n});\nexport var rydberg = /* #__PURE__ */createRydberg({\n BigNumber,\n Unit,\n config\n});\nexport var setIntersect = /* #__PURE__ */createSetIntersect({\n DenseMatrix,\n Index,\n compareNatural,\n size,\n subset,\n typed\n});\nexport var speedOfLight = /* #__PURE__ */createSpeedOfLight({\n BigNumber,\n Unit,\n config\n});\nexport var stefanBoltzmann = /* #__PURE__ */createStefanBoltzmann({\n BigNumber,\n Unit,\n config\n});\nexport var thomsonCrossSection = /* #__PURE__ */createThomsonCrossSection({\n BigNumber,\n Unit,\n config\n});\nexport var avogadro = /* #__PURE__ */createAvogadro({\n BigNumber,\n Unit,\n config\n});\nexport var bohrRadius = /* #__PURE__ */createBohrRadius({\n BigNumber,\n Unit,\n config\n});\nexport var coulomb = /* #__PURE__ */createCoulomb({\n BigNumber,\n Unit,\n config\n});\nexport var divide = /* #__PURE__ */createDivide({\n divideScalar,\n equalScalar,\n inv,\n matrix,\n multiply,\n typed\n});\nexport var electronMass = /* #__PURE__ */createElectronMass({\n BigNumber,\n Unit,\n config\n});\nexport var factorial = /* #__PURE__ */createFactorial({\n gamma,\n typed\n});\nexport var gravity = /* #__PURE__ */createGravity({\n BigNumber,\n Unit,\n config\n});\nexport var inverseConductanceQuantum = /* #__PURE__ */createInverseConductanceQuantum({\n BigNumber,\n Unit,\n config\n});\nexport var lup = /* #__PURE__ */createLup({\n DenseMatrix,\n Spa,\n SparseMatrix,\n abs,\n addScalar,\n divideScalar,\n equalScalar,\n larger,\n matrix,\n multiplyScalar,\n subtract,\n typed,\n unaryMinus\n});\nexport var magneticFluxQuantum = /* #__PURE__ */createMagneticFluxQuantum({\n BigNumber,\n Unit,\n config\n});\nexport var molarMassC12 = /* #__PURE__ */createMolarMassC12({\n BigNumber,\n Unit,\n config\n});\nexport var multinomial = /* #__PURE__ */createMultinomial({\n add,\n divide,\n factorial,\n isInteger,\n isPositive,\n multiply,\n typed\n});\nexport var permutations = /* #__PURE__ */createPermutations({\n factorial,\n typed\n});\nexport var planckMass = /* #__PURE__ */createPlanckMass({\n BigNumber,\n Unit,\n config\n});\nexport var quantumOfCirculation = /* #__PURE__ */createQuantumOfCirculation({\n BigNumber,\n Unit,\n config\n});\nexport var secondRadiation = /* #__PURE__ */createSecondRadiation({\n BigNumber,\n Unit,\n config\n});\nexport var stirlingS2 = /* #__PURE__ */createStirlingS2({\n bignumber,\n addScalar,\n combinations,\n divideScalar,\n factorial,\n isInteger,\n isNegative,\n larger,\n multiplyScalar,\n number,\n pow,\n subtract,\n typed\n});\nexport var unit = /* #__PURE__ */createUnitFunction({\n Unit,\n typed\n});\nexport var bellNumbers = /* #__PURE__ */createBellNumbers({\n addScalar,\n isInteger,\n isNegative,\n stirlingS2,\n typed\n});\nexport var eigs = /* #__PURE__ */createEigs({\n abs,\n add,\n addScalar,\n atan,\n bignumber,\n column,\n complex,\n config,\n cos,\n diag,\n divideScalar,\n dot,\n equal,\n flatten,\n im,\n inv,\n larger,\n matrix,\n matrixFromColumns,\n multiply,\n multiplyScalar,\n number,\n qr,\n re,\n sin,\n smaller,\n sqrt,\n subtract,\n typed,\n usolve,\n usolveAll\n});\nexport var fermiCoupling = /* #__PURE__ */createFermiCoupling({\n BigNumber,\n Unit,\n config\n});\nexport var mean = /* #__PURE__ */createMean({\n add,\n divide,\n typed\n});\nexport var molarVolume = /* #__PURE__ */createMolarVolume({\n BigNumber,\n Unit,\n config\n});\nexport var planckConstant = /* #__PURE__ */createPlanckConstant({\n BigNumber,\n Unit,\n config\n});\nexport var setSymDifference = /* #__PURE__ */createSetSymDifference({\n Index,\n concat,\n setDifference,\n size,\n subset,\n typed\n});\nexport var variance = /* #__PURE__ */createVariance({\n add,\n apply,\n divide,\n isNaN,\n multiply,\n subtract,\n typed\n});\nexport var classicalElectronRadius = /* #__PURE__ */createClassicalElectronRadius({\n BigNumber,\n Unit,\n config\n});\nexport var lusolve = /* #__PURE__ */createLusolve({\n DenseMatrix,\n lsolve,\n lup,\n matrix,\n slu,\n typed,\n usolve\n});\nexport var median = /* #__PURE__ */createMedian({\n add,\n compare,\n divide,\n partitionSelect,\n typed\n});\nexport var setUnion = /* #__PURE__ */createSetUnion({\n Index,\n concat,\n setIntersect,\n setSymDifference,\n size,\n subset,\n typed\n});\nexport var std = /* #__PURE__ */createStd({\n map,\n sqrt,\n typed,\n variance\n});\nexport var gasConstant = /* #__PURE__ */createGasConstant({\n BigNumber,\n Unit,\n config\n});\nexport var mad = /* #__PURE__ */createMad({\n abs,\n map,\n median,\n subtract,\n typed\n});\nexport var norm = /* #__PURE__ */createNorm({\n abs,\n add,\n conj,\n ctranspose,\n eigs,\n equalScalar,\n larger,\n matrix,\n multiply,\n pow,\n smaller,\n sqrt,\n typed\n});\nexport var rotationMatrix = /* #__PURE__ */createRotationMatrix({\n BigNumber,\n DenseMatrix,\n SparseMatrix,\n addScalar,\n config,\n cos,\n matrix,\n multiplyScalar,\n norm,\n sin,\n typed,\n unaryMinus\n});\nexport var kldivergence = /* #__PURE__ */createKldivergence({\n divide,\n dotDivide,\n isNumeric,\n log,\n map,\n matrix,\n multiply,\n sum,\n typed\n});\nexport var rotate = /* #__PURE__ */createRotate({\n multiply,\n rotationMatrix,\n typed\n});\nexport var planckTime = /* #__PURE__ */createPlanckTime({\n BigNumber,\n Unit,\n config\n});","import { round } from 'mathjs';\n\nexport const decodeCGIEscape = (str) => decodeURIComponent(str.replace(/\\+/g, \" \"));\n\nexport const fromJson = (str) => JSON.parse(decodeCGIEscape(str));\n\nexport const fetchHelper = (url, data = {}, options = {}) => {\n let csrfToken = document.querySelector('meta[name=csrf-token]').getAttribute('content');\n let defaultOptions = {\n method: 'POST',\n headers: {'Content-Type': 'application/json;charset=UTF-8', 'X-CSRF-Token': csrfToken, 'X-Requested-With': 'XMLHttpRequest', 'Accept': 'application/json'},\n };\n\n return fetch(url, {...defaultOptions, ...options, ...{body: JSON.stringify(data)}});\n};\n\nexport const scrollToTop = () => {\n document.body.scrollTop = 0; // For Chrome, Safari and Opera\n document.documentElement.scrollTop = 0; // For IE and Firefox\n}\n\nexport const toCurrency = (amount, {currency, decimal} = {currency: 'USD', decimal: 2}) => `${currency} ${amount.toLocaleString('en-US', {maximumFractionDigits: decimal})}`\n\nexport const angularApply = () => {\n let el = angular.element('body');\n let scope = el.scope();\n\n if (scope) {\n let $compile = el.injector().get('$compile');\n $compile(el)(scope);\n scope.$digest();\n } else {\n angular.bootstrap(el, ['nerv']);\n }\n}\n\nexport const dateDiffInMonth = (dateFrom, dateTo) => {\n const from = new Date(dateFrom);\n const to = new Date(dateTo);\n return (to.getFullYear() - from.getFullYear()) * 12 + to.getMonth() - from.getMonth();\n}\n\nexport const isAsukaPath = () => window.location.pathname.includes('nerv/eva');\n\nexport const fixedRound = (num, unitPrecision) => {;\n return round(num, unitPrecision).toFixed(unitPrecision);\n}\n","var map = {\n\t\"./lang.js\": 7369,\n\t\"./utils.js\": 9841\n};\n\n\nfunction webpackContext(req) {\n\tvar id = webpackContextResolve(req);\n\treturn __webpack_require__(id);\n}\nfunction webpackContextResolve(req) {\n\tif(!__webpack_require__.o(map, req)) {\n\t\tvar e = new Error(\"Cannot find module '\" + req + \"'\");\n\t\te.code = 'MODULE_NOT_FOUND';\n\t\tthrow e;\n\t}\n\treturn map[req];\n}\nwebpackContext.keys = function webpackContextKeys() {\n\treturn Object.keys(map);\n};\nwebpackContext.resolve = webpackContextResolve;\nmodule.exports = webpackContext;\nwebpackContext.id = 7713;","'use strict';\n\nvar GetIntrinsic = require('get-intrinsic');\n\nvar callBind = require('./');\n\nvar $indexOf = callBind(GetIntrinsic('String.prototype.indexOf'));\n\nmodule.exports = function callBoundIntrinsic(name, allowMissing) {\n\tvar intrinsic = GetIntrinsic(name, !!allowMissing);\n\tif (typeof intrinsic === 'function' && $indexOf(name, '.prototype.') > -1) {\n\t\treturn callBind(intrinsic);\n\t}\n\treturn intrinsic;\n};\n","'use strict';\n\nvar bind = require('function-bind');\nvar GetIntrinsic = require('get-intrinsic');\nvar setFunctionLength = require('set-function-length');\n\nvar $TypeError = GetIntrinsic('%TypeError%');\nvar $apply = GetIntrinsic('%Function.prototype.apply%');\nvar $call = GetIntrinsic('%Function.prototype.call%');\nvar $reflectApply = GetIntrinsic('%Reflect.apply%', true) || bind.call($call, $apply);\n\nvar $defineProperty = GetIntrinsic('%Object.defineProperty%', true);\nvar $max = GetIntrinsic('%Math.max%');\n\nif ($defineProperty) {\n\ttry {\n\t\t$defineProperty({}, 'a', { value: 1 });\n\t} catch (e) {\n\t\t// IE 8 has a broken defineProperty\n\t\t$defineProperty = null;\n\t}\n}\n\nmodule.exports = function callBind(originalFunction) {\n\tif (typeof originalFunction !== 'function') {\n\t\tthrow new $TypeError('a function is required');\n\t}\n\tvar func = $reflectApply(bind, $call, arguments);\n\treturn setFunctionLength(\n\t\tfunc,\n\t\t1 + $max(0, originalFunction.length - (arguments.length - 1)),\n\t\ttrue\n\t);\n};\n\nvar applyBind = function applyBind() {\n\treturn $reflectApply(bind, $apply, arguments);\n};\n\nif ($defineProperty) {\n\t$defineProperty(module.exports, 'apply', { value: applyBind });\n} else {\n\tmodule.exports.apply = applyBind;\n}\n","'use strict';\n\nvar hasPropertyDescriptors = require('has-property-descriptors')();\n\nvar GetIntrinsic = require('get-intrinsic');\n\nvar $defineProperty = hasPropertyDescriptors && GetIntrinsic('%Object.defineProperty%', true);\nif ($defineProperty) {\n\ttry {\n\t\t$defineProperty({}, 'a', { value: 1 });\n\t} catch (e) {\n\t\t// IE 8 has a broken defineProperty\n\t\t$defineProperty = false;\n\t}\n}\n\nvar $SyntaxError = GetIntrinsic('%SyntaxError%');\nvar $TypeError = GetIntrinsic('%TypeError%');\n\nvar gopd = require('gopd');\n\n/** @type {(obj: Record, property: PropertyKey, value: unknown, nonEnumerable?: boolean | null, nonWritable?: boolean | null, nonConfigurable?: boolean | null, loose?: boolean) => void} */\nmodule.exports = function defineDataProperty(\n\tobj,\n\tproperty,\n\tvalue\n) {\n\tif (!obj || (typeof obj !== 'object' && typeof obj !== 'function')) {\n\t\tthrow new $TypeError('`obj` must be an object or a function`');\n\t}\n\tif (typeof property !== 'string' && typeof property !== 'symbol') {\n\t\tthrow new $TypeError('`property` must be a string or a symbol`');\n\t}\n\tif (arguments.length > 3 && typeof arguments[3] !== 'boolean' && arguments[3] !== null) {\n\t\tthrow new $TypeError('`nonEnumerable`, if provided, must be a boolean or null');\n\t}\n\tif (arguments.length > 4 && typeof arguments[4] !== 'boolean' && arguments[4] !== null) {\n\t\tthrow new $TypeError('`nonWritable`, if provided, must be a boolean or null');\n\t}\n\tif (arguments.length > 5 && typeof arguments[5] !== 'boolean' && arguments[5] !== null) {\n\t\tthrow new $TypeError('`nonConfigurable`, if provided, must be a boolean or null');\n\t}\n\tif (arguments.length > 6 && typeof arguments[6] !== 'boolean') {\n\t\tthrow new $TypeError('`loose`, if provided, must be a boolean');\n\t}\n\n\tvar nonEnumerable = arguments.length > 3 ? arguments[3] : null;\n\tvar nonWritable = arguments.length > 4 ? arguments[4] : null;\n\tvar nonConfigurable = arguments.length > 5 ? arguments[5] : null;\n\tvar loose = arguments.length > 6 ? arguments[6] : false;\n\n\t/* @type {false | TypedPropertyDescriptor} */\n\tvar desc = !!gopd && gopd(obj, property);\n\n\tif ($defineProperty) {\n\t\t$defineProperty(obj, property, {\n\t\t\tconfigurable: nonConfigurable === null && desc ? desc.configurable : !nonConfigurable,\n\t\t\tenumerable: nonEnumerable === null && desc ? desc.enumerable : !nonEnumerable,\n\t\t\tvalue: value,\n\t\t\twritable: nonWritable === null && desc ? desc.writable : !nonWritable\n\t\t});\n\t} else if (loose || (!nonEnumerable && !nonWritable && !nonConfigurable)) {\n\t\t// must fall back to [[Set]], and was not explicitly asked to make non-enumerable, non-writable, or non-configurable\n\t\tobj[property] = value; // eslint-disable-line no-param-reassign\n\t} else {\n\t\tthrow new $SyntaxError('This environment does not support defining a property as non-configurable, non-writable, or non-enumerable.');\n\t}\n};\n","'use strict';\n\n/* eslint no-invalid-this: 1 */\n\nvar ERROR_MESSAGE = 'Function.prototype.bind called on incompatible ';\nvar toStr = Object.prototype.toString;\nvar max = Math.max;\nvar funcType = '[object Function]';\n\nvar concatty = function concatty(a, b) {\n var arr = [];\n\n for (var i = 0; i < a.length; i += 1) {\n arr[i] = a[i];\n }\n for (var j = 0; j < b.length; j += 1) {\n arr[j + a.length] = b[j];\n }\n\n return arr;\n};\n\nvar slicy = function slicy(arrLike, offset) {\n var arr = [];\n for (var i = offset || 0, j = 0; i < arrLike.length; i += 1, j += 1) {\n arr[j] = arrLike[i];\n }\n return arr;\n};\n\nvar joiny = function (arr, joiner) {\n var str = '';\n for (var i = 0; i < arr.length; i += 1) {\n str += arr[i];\n if (i + 1 < arr.length) {\n str += joiner;\n }\n }\n return str;\n};\n\nmodule.exports = function bind(that) {\n var target = this;\n if (typeof target !== 'function' || toStr.apply(target) !== funcType) {\n throw new TypeError(ERROR_MESSAGE + target);\n }\n var args = slicy(arguments, 1);\n\n var bound;\n var binder = function () {\n if (this instanceof bound) {\n var result = target.apply(\n this,\n concatty(args, arguments)\n );\n if (Object(result) === result) {\n return result;\n }\n return this;\n }\n return target.apply(\n that,\n concatty(args, arguments)\n );\n\n };\n\n var boundLength = max(0, target.length - args.length);\n var boundArgs = [];\n for (var i = 0; i < boundLength; i++) {\n boundArgs[i] = '$' + i;\n }\n\n bound = Function('binder', 'return function (' + joiny(boundArgs, ',') + '){ return binder.apply(this,arguments); }')(binder);\n\n if (target.prototype) {\n var Empty = function Empty() {};\n Empty.prototype = target.prototype;\n bound.prototype = new Empty();\n Empty.prototype = null;\n }\n\n return bound;\n};\n","'use strict';\n\nvar implementation = require('./implementation');\n\nmodule.exports = Function.prototype.bind || implementation;\n","'use strict';\n\nvar undefined;\n\nvar $SyntaxError = SyntaxError;\nvar $Function = Function;\nvar $TypeError = TypeError;\n\n// eslint-disable-next-line consistent-return\nvar getEvalledConstructor = function (expressionSyntax) {\n\ttry {\n\t\treturn $Function('\"use strict\"; return (' + expressionSyntax + ').constructor;')();\n\t} catch (e) {}\n};\n\nvar $gOPD = Object.getOwnPropertyDescriptor;\nif ($gOPD) {\n\ttry {\n\t\t$gOPD({}, '');\n\t} catch (e) {\n\t\t$gOPD = null; // this is IE 8, which has a broken gOPD\n\t}\n}\n\nvar throwTypeError = function () {\n\tthrow new $TypeError();\n};\nvar ThrowTypeError = $gOPD\n\t? (function () {\n\t\ttry {\n\t\t\t// eslint-disable-next-line no-unused-expressions, no-caller, no-restricted-properties\n\t\t\targuments.callee; // IE 8 does not throw here\n\t\t\treturn throwTypeError;\n\t\t} catch (calleeThrows) {\n\t\t\ttry {\n\t\t\t\t// IE 8 throws on Object.getOwnPropertyDescriptor(arguments, '')\n\t\t\t\treturn $gOPD(arguments, 'callee').get;\n\t\t\t} catch (gOPDthrows) {\n\t\t\t\treturn throwTypeError;\n\t\t\t}\n\t\t}\n\t}())\n\t: throwTypeError;\n\nvar hasSymbols = require('has-symbols')();\nvar hasProto = require('has-proto')();\n\nvar getProto = Object.getPrototypeOf || (\n\thasProto\n\t\t? function (x) { return x.__proto__; } // eslint-disable-line no-proto\n\t\t: null\n);\n\nvar needsEval = {};\n\nvar TypedArray = typeof Uint8Array === 'undefined' || !getProto ? undefined : getProto(Uint8Array);\n\nvar INTRINSICS = {\n\t'%AggregateError%': typeof AggregateError === 'undefined' ? undefined : AggregateError,\n\t'%Array%': Array,\n\t'%ArrayBuffer%': typeof ArrayBuffer === 'undefined' ? undefined : ArrayBuffer,\n\t'%ArrayIteratorPrototype%': hasSymbols && getProto ? getProto([][Symbol.iterator]()) : undefined,\n\t'%AsyncFromSyncIteratorPrototype%': undefined,\n\t'%AsyncFunction%': needsEval,\n\t'%AsyncGenerator%': needsEval,\n\t'%AsyncGeneratorFunction%': needsEval,\n\t'%AsyncIteratorPrototype%': needsEval,\n\t'%Atomics%': typeof Atomics === 'undefined' ? undefined : Atomics,\n\t'%BigInt%': typeof BigInt === 'undefined' ? undefined : BigInt,\n\t'%BigInt64Array%': typeof BigInt64Array === 'undefined' ? undefined : BigInt64Array,\n\t'%BigUint64Array%': typeof BigUint64Array === 'undefined' ? undefined : BigUint64Array,\n\t'%Boolean%': Boolean,\n\t'%DataView%': typeof DataView === 'undefined' ? undefined : DataView,\n\t'%Date%': Date,\n\t'%decodeURI%': decodeURI,\n\t'%decodeURIComponent%': decodeURIComponent,\n\t'%encodeURI%': encodeURI,\n\t'%encodeURIComponent%': encodeURIComponent,\n\t'%Error%': Error,\n\t'%eval%': eval, // eslint-disable-line no-eval\n\t'%EvalError%': EvalError,\n\t'%Float32Array%': typeof Float32Array === 'undefined' ? undefined : Float32Array,\n\t'%Float64Array%': typeof Float64Array === 'undefined' ? undefined : Float64Array,\n\t'%FinalizationRegistry%': typeof FinalizationRegistry === 'undefined' ? undefined : FinalizationRegistry,\n\t'%Function%': $Function,\n\t'%GeneratorFunction%': needsEval,\n\t'%Int8Array%': typeof Int8Array === 'undefined' ? undefined : Int8Array,\n\t'%Int16Array%': typeof Int16Array === 'undefined' ? undefined : Int16Array,\n\t'%Int32Array%': typeof Int32Array === 'undefined' ? undefined : Int32Array,\n\t'%isFinite%': isFinite,\n\t'%isNaN%': isNaN,\n\t'%IteratorPrototype%': hasSymbols && getProto ? getProto(getProto([][Symbol.iterator]())) : undefined,\n\t'%JSON%': typeof JSON === 'object' ? JSON : undefined,\n\t'%Map%': typeof Map === 'undefined' ? undefined : Map,\n\t'%MapIteratorPrototype%': typeof Map === 'undefined' || !hasSymbols || !getProto ? undefined : getProto(new Map()[Symbol.iterator]()),\n\t'%Math%': Math,\n\t'%Number%': Number,\n\t'%Object%': Object,\n\t'%parseFloat%': parseFloat,\n\t'%parseInt%': parseInt,\n\t'%Promise%': typeof Promise === 'undefined' ? undefined : Promise,\n\t'%Proxy%': typeof Proxy === 'undefined' ? undefined : Proxy,\n\t'%RangeError%': RangeError,\n\t'%ReferenceError%': ReferenceError,\n\t'%Reflect%': typeof Reflect === 'undefined' ? undefined : Reflect,\n\t'%RegExp%': RegExp,\n\t'%Set%': typeof Set === 'undefined' ? undefined : Set,\n\t'%SetIteratorPrototype%': typeof Set === 'undefined' || !hasSymbols || !getProto ? undefined : getProto(new Set()[Symbol.iterator]()),\n\t'%SharedArrayBuffer%': typeof SharedArrayBuffer === 'undefined' ? undefined : SharedArrayBuffer,\n\t'%String%': String,\n\t'%StringIteratorPrototype%': hasSymbols && getProto ? getProto(''[Symbol.iterator]()) : undefined,\n\t'%Symbol%': hasSymbols ? Symbol : undefined,\n\t'%SyntaxError%': $SyntaxError,\n\t'%ThrowTypeError%': ThrowTypeError,\n\t'%TypedArray%': TypedArray,\n\t'%TypeError%': $TypeError,\n\t'%Uint8Array%': typeof Uint8Array === 'undefined' ? undefined : Uint8Array,\n\t'%Uint8ClampedArray%': typeof Uint8ClampedArray === 'undefined' ? undefined : Uint8ClampedArray,\n\t'%Uint16Array%': typeof Uint16Array === 'undefined' ? undefined : Uint16Array,\n\t'%Uint32Array%': typeof Uint32Array === 'undefined' ? undefined : Uint32Array,\n\t'%URIError%': URIError,\n\t'%WeakMap%': typeof WeakMap === 'undefined' ? undefined : WeakMap,\n\t'%WeakRef%': typeof WeakRef === 'undefined' ? undefined : WeakRef,\n\t'%WeakSet%': typeof WeakSet === 'undefined' ? undefined : WeakSet\n};\n\nif (getProto) {\n\ttry {\n\t\tnull.error; // eslint-disable-line no-unused-expressions\n\t} catch (e) {\n\t\t// https://github.com/tc39/proposal-shadowrealm/pull/384#issuecomment-1364264229\n\t\tvar errorProto = getProto(getProto(e));\n\t\tINTRINSICS['%Error.prototype%'] = errorProto;\n\t}\n}\n\nvar doEval = function doEval(name) {\n\tvar value;\n\tif (name === '%AsyncFunction%') {\n\t\tvalue = getEvalledConstructor('async function () {}');\n\t} else if (name === '%GeneratorFunction%') {\n\t\tvalue = getEvalledConstructor('function* () {}');\n\t} else if (name === '%AsyncGeneratorFunction%') {\n\t\tvalue = getEvalledConstructor('async function* () {}');\n\t} else if (name === '%AsyncGenerator%') {\n\t\tvar fn = doEval('%AsyncGeneratorFunction%');\n\t\tif (fn) {\n\t\t\tvalue = fn.prototype;\n\t\t}\n\t} else if (name === '%AsyncIteratorPrototype%') {\n\t\tvar gen = doEval('%AsyncGenerator%');\n\t\tif (gen && getProto) {\n\t\t\tvalue = getProto(gen.prototype);\n\t\t}\n\t}\n\n\tINTRINSICS[name] = value;\n\n\treturn value;\n};\n\nvar LEGACY_ALIASES = {\n\t'%ArrayBufferPrototype%': ['ArrayBuffer', 'prototype'],\n\t'%ArrayPrototype%': ['Array', 'prototype'],\n\t'%ArrayProto_entries%': ['Array', 'prototype', 'entries'],\n\t'%ArrayProto_forEach%': ['Array', 'prototype', 'forEach'],\n\t'%ArrayProto_keys%': ['Array', 'prototype', 'keys'],\n\t'%ArrayProto_values%': ['Array', 'prototype', 'values'],\n\t'%AsyncFunctionPrototype%': ['AsyncFunction', 'prototype'],\n\t'%AsyncGenerator%': ['AsyncGeneratorFunction', 'prototype'],\n\t'%AsyncGeneratorPrototype%': ['AsyncGeneratorFunction', 'prototype', 'prototype'],\n\t'%BooleanPrototype%': ['Boolean', 'prototype'],\n\t'%DataViewPrototype%': ['DataView', 'prototype'],\n\t'%DatePrototype%': ['Date', 'prototype'],\n\t'%ErrorPrototype%': ['Error', 'prototype'],\n\t'%EvalErrorPrototype%': ['EvalError', 'prototype'],\n\t'%Float32ArrayPrototype%': ['Float32Array', 'prototype'],\n\t'%Float64ArrayPrototype%': ['Float64Array', 'prototype'],\n\t'%FunctionPrototype%': ['Function', 'prototype'],\n\t'%Generator%': ['GeneratorFunction', 'prototype'],\n\t'%GeneratorPrototype%': ['GeneratorFunction', 'prototype', 'prototype'],\n\t'%Int8ArrayPrototype%': ['Int8Array', 'prototype'],\n\t'%Int16ArrayPrototype%': ['Int16Array', 'prototype'],\n\t'%Int32ArrayPrototype%': ['Int32Array', 'prototype'],\n\t'%JSONParse%': ['JSON', 'parse'],\n\t'%JSONStringify%': ['JSON', 'stringify'],\n\t'%MapPrototype%': ['Map', 'prototype'],\n\t'%NumberPrototype%': ['Number', 'prototype'],\n\t'%ObjectPrototype%': ['Object', 'prototype'],\n\t'%ObjProto_toString%': ['Object', 'prototype', 'toString'],\n\t'%ObjProto_valueOf%': ['Object', 'prototype', 'valueOf'],\n\t'%PromisePrototype%': ['Promise', 'prototype'],\n\t'%PromiseProto_then%': ['Promise', 'prototype', 'then'],\n\t'%Promise_all%': ['Promise', 'all'],\n\t'%Promise_reject%': ['Promise', 'reject'],\n\t'%Promise_resolve%': ['Promise', 'resolve'],\n\t'%RangeErrorPrototype%': ['RangeError', 'prototype'],\n\t'%ReferenceErrorPrototype%': ['ReferenceError', 'prototype'],\n\t'%RegExpPrototype%': ['RegExp', 'prototype'],\n\t'%SetPrototype%': ['Set', 'prototype'],\n\t'%SharedArrayBufferPrototype%': ['SharedArrayBuffer', 'prototype'],\n\t'%StringPrototype%': ['String', 'prototype'],\n\t'%SymbolPrototype%': ['Symbol', 'prototype'],\n\t'%SyntaxErrorPrototype%': ['SyntaxError', 'prototype'],\n\t'%TypedArrayPrototype%': ['TypedArray', 'prototype'],\n\t'%TypeErrorPrototype%': ['TypeError', 'prototype'],\n\t'%Uint8ArrayPrototype%': ['Uint8Array', 'prototype'],\n\t'%Uint8ClampedArrayPrototype%': ['Uint8ClampedArray', 'prototype'],\n\t'%Uint16ArrayPrototype%': ['Uint16Array', 'prototype'],\n\t'%Uint32ArrayPrototype%': ['Uint32Array', 'prototype'],\n\t'%URIErrorPrototype%': ['URIError', 'prototype'],\n\t'%WeakMapPrototype%': ['WeakMap', 'prototype'],\n\t'%WeakSetPrototype%': ['WeakSet', 'prototype']\n};\n\nvar bind = require('function-bind');\nvar hasOwn = require('hasown');\nvar $concat = bind.call(Function.call, Array.prototype.concat);\nvar $spliceApply = bind.call(Function.apply, Array.prototype.splice);\nvar $replace = bind.call(Function.call, String.prototype.replace);\nvar $strSlice 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jr(e){if(Vr||re().readyState===\"complete\"){e()}else{re().addEventListener(\"DOMContentLoaded\",e)}}function _r(){if(Q.config.includeIndicatorStyles!==false){re().head.insertAdjacentHTML(\"beforeend\",\"\")}}function zr(){var e=re().querySelector('meta[name=\"htmx-config\"]');if(e){return E(e.content)}else{return null}}function $r(){var e=zr();if(e){Q.config=le(Q.config,e)}}jr(function(){$r();_r();var e=re().body;zt(e);var t=re().querySelectorAll(\"[hx-trigger='restored'],[data-hx-trigger='restored']\");e.addEventListener(\"htmx:abort\",function(e){var t=e.target;var r=ae(t);if(r&&r.xhr){r.xhr.abort()}});const r=window.onpopstate?window.onpopstate.bind(window):null;window.onpopstate=function(e){if(e.state&&e.state.htmx){ar();oe(t,function(e){ce(e,\"htmx:restored\",{document:re(),triggerEvent:ce})})}else{if(r){r(e)}}};setTimeout(function(){ce(e,\"htmx:load\",{});e=null},0)});return Q}()});","/*\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 */\r\n/*jshint unused:false */\r\nmodule.exports = function naturalSort (a, b) {\r\n\t\"use strict\";\r\n\tvar re = /(^([+\\-]?(?:0|[1-9]\\d*)(?:\\.\\d*)?(?:[eE][+\\-]?\\d+)?)?$|^0x[0-9a-f]+$|\\d+)/gi,\r\n\t\tsre = /(^[ ]*|[ ]*$)/g,\r\n\t\tdre = /(^([\\w ]+,?[\\w ]+)?[\\w ]+,?[\\w ]+\\d+:\\d+(:\\d+)?[\\w ]?|^\\d{1,4}[\\/\\-]\\d{1,4}[\\/\\-]\\d{1,4}|^\\w+, \\w+ \\d+, \\d{4})/,\r\n\t\thre = /^0x[0-9a-f]+$/i,\r\n\t\tore = /^0/,\r\n\t\ti = function(s) { return naturalSort.insensitive && ('' + s).toLowerCase() || '' + s; },\r\n\t\t// convert all to strings strip whitespace\r\n\t\tx = i(a).replace(sre, '') || '',\r\n\t\ty = i(b).replace(sre, '') || '',\r\n\t\t// chunk/tokenize\r\n\t\txN = x.replace(re, '\\0$1\\0').replace(/\\0$/,'').replace(/^\\0/,'').split('\\0'),\r\n\t\tyN = y.replace(re, '\\0$1\\0').replace(/\\0$/,'').replace(/^\\0/,'').split('\\0'),\r\n\t\t// numeric, hex or date detection\r\n\t\txD = parseInt(x.match(hre), 16) || (xN.length !== 1 && x.match(dre) && Date.parse(x)),\r\n\t\tyD = parseInt(y.match(hre), 16) || xD && y.match(dre) && Date.parse(y) || null,\r\n\t\toFxNcL, oFyNcL;\r\n\t// first try and sort Hex codes or Dates\r\n\tif (yD) {\r\n\t\tif ( xD < yD ) { return -1; }\r\n\t\telse if ( xD > yD ) { return 1; }\r\n\t}\r\n\t// natural sorting through split numeric strings and default strings\r\n\tfor(var cLoc=0, numS=Math.max(xN.length, yN.length); cLoc < numS; cLoc++) {\r\n\t\t// find floats not starting with '0', string or 0 if not defined (Clint Priest)\r\n\t\toFxNcL = !(xN[cLoc] || '').match(ore) && parseFloat(xN[cLoc]) || xN[cLoc] || 0;\r\n\t\toFyNcL = !(yN[cLoc] || '').match(ore) && parseFloat(yN[cLoc]) || yN[cLoc] || 0;\r\n\t\t// handle numeric vs string comparison - number < string - (Kyle Adams)\r\n\t\tif (isNaN(oFxNcL) !== isNaN(oFyNcL)) { return (isNaN(oFxNcL)) ? 1 : -1; }\r\n\t\t// rely on string comparison if different types - i.e. '02' < 2 != '02' < '2'\r\n\t\telse if (typeof oFxNcL !== typeof oFyNcL) {\r\n\t\t\toFxNcL += '';\r\n\t\t\toFyNcL += '';\r\n\t\t}\r\n\t\tif (oFxNcL < oFyNcL) { return -1; }\r\n\t\tif (oFxNcL > oFyNcL) { return 1; }\r\n\t}\r\n\treturn 0;\r\n};\r\n","var hasMap = typeof Map === 'function' && Map.prototype;\nvar mapSizeDescriptor = Object.getOwnPropertyDescriptor && hasMap ? Object.getOwnPropertyDescriptor(Map.prototype, 'size') : null;\nvar mapSize = hasMap && mapSizeDescriptor && typeof mapSizeDescriptor.get === 'function' ? mapSizeDescriptor.get : null;\nvar mapForEach = hasMap && Map.prototype.forEach;\nvar hasSet = typeof Set === 'function' && Set.prototype;\nvar setSizeDescriptor = Object.getOwnPropertyDescriptor && hasSet ? Object.getOwnPropertyDescriptor(Set.prototype, 'size') : null;\nvar setSize = hasSet && setSizeDescriptor && typeof setSizeDescriptor.get === 'function' ? setSizeDescriptor.get : null;\nvar setForEach = hasSet && Set.prototype.forEach;\nvar hasWeakMap = typeof WeakMap === 'function' && WeakMap.prototype;\nvar weakMapHas = hasWeakMap ? WeakMap.prototype.has : null;\nvar hasWeakSet = typeof WeakSet === 'function' && WeakSet.prototype;\nvar weakSetHas = hasWeakSet ? WeakSet.prototype.has : null;\nvar hasWeakRef = typeof WeakRef === 'function' && WeakRef.prototype;\nvar weakRefDeref = hasWeakRef ? WeakRef.prototype.deref : null;\nvar booleanValueOf = Boolean.prototype.valueOf;\nvar objectToString = Object.prototype.toString;\nvar functionToString = Function.prototype.toString;\nvar $match = String.prototype.match;\nvar $slice = String.prototype.slice;\nvar $replace = String.prototype.replace;\nvar $toUpperCase = String.prototype.toUpperCase;\nvar $toLowerCase = String.prototype.toLowerCase;\nvar $test = RegExp.prototype.test;\nvar $concat = Array.prototype.concat;\nvar $join = Array.prototype.join;\nvar $arrSlice = Array.prototype.slice;\nvar $floor = Math.floor;\nvar bigIntValueOf = typeof BigInt === 'function' ? BigInt.prototype.valueOf : null;\nvar gOPS = Object.getOwnPropertySymbols;\nvar symToString = typeof Symbol === 'function' && typeof Symbol.iterator === 'symbol' ? Symbol.prototype.toString : null;\nvar hasShammedSymbols = typeof Symbol === 'function' && typeof Symbol.iterator === 'object';\n// ie, `has-tostringtag/shams\nvar toStringTag = typeof Symbol === 'function' && Symbol.toStringTag && (typeof Symbol.toStringTag === hasShammedSymbols ? 'object' : 'symbol')\n ? Symbol.toStringTag\n : null;\nvar isEnumerable = Object.prototype.propertyIsEnumerable;\n\nvar gPO = (typeof Reflect === 'function' ? Reflect.getPrototypeOf : Object.getPrototypeOf) || (\n [].__proto__ === Array.prototype // eslint-disable-line no-proto\n ? function (O) {\n return O.__proto__; // eslint-disable-line no-proto\n }\n : null\n);\n\nfunction addNumericSeparator(num, str) {\n if (\n num === Infinity\n || num === -Infinity\n || num !== num\n || (num && num > -1000 && num < 1000)\n || $test.call(/e/, str)\n ) {\n return str;\n }\n var sepRegex = /[0-9](?=(?:[0-9]{3})+(?![0-9]))/g;\n if (typeof num === 'number') {\n var int = num < 0 ? -$floor(-num) : $floor(num); // trunc(num)\n if (int !== num) {\n var intStr = String(int);\n var dec = $slice.call(str, intStr.length + 1);\n return $replace.call(intStr, sepRegex, '$&_') + '.' + $replace.call($replace.call(dec, /([0-9]{3})/g, '$&_'), /_$/, '');\n }\n }\n return $replace.call(str, sepRegex, '$&_');\n}\n\nvar utilInspect = require('./util.inspect');\nvar inspectCustom = utilInspect.custom;\nvar inspectSymbol = isSymbol(inspectCustom) ? inspectCustom : null;\n\nmodule.exports = function inspect_(obj, options, depth, seen) {\n var opts = options || {};\n\n if (has(opts, 'quoteStyle') && (opts.quoteStyle !== 'single' && opts.quoteStyle !== 'double')) {\n throw new TypeError('option \"quoteStyle\" must be \"single\" or \"double\"');\n }\n if (\n has(opts, 'maxStringLength') && (typeof opts.maxStringLength === 'number'\n ? opts.maxStringLength < 0 && opts.maxStringLength !== Infinity\n : opts.maxStringLength !== null\n )\n ) {\n throw new TypeError('option \"maxStringLength\", if provided, must be a positive integer, Infinity, or `null`');\n }\n var customInspect = has(opts, 'customInspect') ? opts.customInspect : true;\n if (typeof customInspect !== 'boolean' && customInspect !== 'symbol') {\n throw new TypeError('option \"customInspect\", if provided, must be `true`, `false`, or `\\'symbol\\'`');\n }\n\n if (\n has(opts, 'indent')\n && opts.indent !== null\n && opts.indent !== '\\t'\n && !(parseInt(opts.indent, 10) === opts.indent && opts.indent > 0)\n ) {\n throw new TypeError('option \"indent\" must be \"\\\\t\", an integer > 0, or `null`');\n }\n if (has(opts, 'numericSeparator') && typeof opts.numericSeparator !== 'boolean') {\n throw new TypeError('option \"numericSeparator\", if provided, must be `true` or `false`');\n }\n var numericSeparator = opts.numericSeparator;\n\n if (typeof obj === 'undefined') {\n return 'undefined';\n }\n if (obj === null) {\n return 'null';\n }\n if (typeof obj === 'boolean') {\n return obj ? 'true' : 'false';\n }\n\n if (typeof obj === 'string') {\n return inspectString(obj, opts);\n }\n if (typeof obj === 'number') {\n if (obj === 0) {\n return Infinity / obj > 0 ? '0' : '-0';\n }\n var str = String(obj);\n return numericSeparator ? addNumericSeparator(obj, str) : str;\n }\n if (typeof obj === 'bigint') {\n var bigIntStr = String(obj) + 'n';\n return numericSeparator ? addNumericSeparator(obj, bigIntStr) : bigIntStr;\n }\n\n var maxDepth = typeof opts.depth === 'undefined' ? 5 : opts.depth;\n if (typeof depth === 'undefined') { depth = 0; }\n if (depth >= maxDepth && maxDepth > 0 && typeof obj === 'object') {\n return isArray(obj) ? '[Array]' : '[Object]';\n }\n\n var indent = getIndent(opts, depth);\n\n if (typeof seen === 'undefined') {\n seen = [];\n } else if (indexOf(seen, obj) >= 0) {\n return '[Circular]';\n }\n\n function inspect(value, from, noIndent) {\n if (from) {\n seen = $arrSlice.call(seen);\n seen.push(from);\n }\n if (noIndent) {\n var newOpts = {\n depth: opts.depth\n };\n if (has(opts, 'quoteStyle')) {\n newOpts.quoteStyle = opts.quoteStyle;\n }\n return inspect_(value, newOpts, depth + 1, seen);\n }\n return inspect_(value, opts, depth + 1, seen);\n }\n\n if (typeof obj === 'function' && !isRegExp(obj)) { // in older engines, regexes are callable\n var name = nameOf(obj);\n var keys = arrObjKeys(obj, inspect);\n return '[Function' + (name ? ': ' + name : ' (anonymous)') + ']' + (keys.length > 0 ? ' { ' + $join.call(keys, ', ') + ' }' : '');\n }\n if (isSymbol(obj)) {\n var symString = hasShammedSymbols ? $replace.call(String(obj), /^(Symbol\\(.*\\))_[^)]*$/, '$1') : symToString.call(obj);\n return typeof obj === 'object' && !hasShammedSymbols ? markBoxed(symString) : symString;\n }\n if (isElement(obj)) {\n var s = '<' + $toLowerCase.call(String(obj.nodeName));\n var attrs = obj.attributes || [];\n for (var i = 0; i < attrs.length; i++) {\n s += ' ' + attrs[i].name + '=' + wrapQuotes(quote(attrs[i].value), 'double', opts);\n }\n s += '>';\n if (obj.childNodes && obj.childNodes.length) { s += '...'; }\n s += '';\n return s;\n }\n if (isArray(obj)) {\n if (obj.length === 0) { return '[]'; }\n var xs = arrObjKeys(obj, inspect);\n if (indent && !singleLineValues(xs)) {\n return '[' + indentedJoin(xs, indent) + ']';\n }\n return '[ ' + $join.call(xs, ', ') + ' ]';\n }\n if (isError(obj)) {\n var parts = arrObjKeys(obj, inspect);\n if (!('cause' in Error.prototype) && 'cause' in obj && !isEnumerable.call(obj, 'cause')) {\n return '{ [' + String(obj) + '] ' + $join.call($concat.call('[cause]: ' + inspect(obj.cause), parts), ', ') + ' }';\n }\n if (parts.length === 0) { return '[' + String(obj) + ']'; }\n return '{ [' + String(obj) + '] ' + $join.call(parts, ', ') + ' }';\n }\n if (typeof obj === 'object' && customInspect) {\n if (inspectSymbol && typeof obj[inspectSymbol] === 'function' && utilInspect) {\n return utilInspect(obj, { depth: maxDepth - depth });\n } else if (customInspect !== 'symbol' && typeof obj.inspect === 'function') {\n return obj.inspect();\n }\n }\n if (isMap(obj)) {\n var mapParts = [];\n if (mapForEach) {\n mapForEach.call(obj, function (value, key) {\n mapParts.push(inspect(key, obj, true) + ' => ' + inspect(value, obj));\n });\n }\n return collectionOf('Map', mapSize.call(obj), mapParts, indent);\n }\n if (isSet(obj)) {\n var setParts = [];\n if (setForEach) {\n setForEach.call(obj, function (value) {\n setParts.push(inspect(value, obj));\n });\n }\n return collectionOf('Set', setSize.call(obj), setParts, indent);\n }\n if (isWeakMap(obj)) {\n return weakCollectionOf('WeakMap');\n }\n if (isWeakSet(obj)) {\n return weakCollectionOf('WeakSet');\n }\n if (isWeakRef(obj)) {\n return weakCollectionOf('WeakRef');\n }\n if (isNumber(obj)) {\n return markBoxed(inspect(Number(obj)));\n }\n if (isBigInt(obj)) {\n return markBoxed(inspect(bigIntValueOf.call(obj)));\n }\n if (isBoolean(obj)) {\n return markBoxed(booleanValueOf.call(obj));\n }\n if (isString(obj)) {\n return markBoxed(inspect(String(obj)));\n }\n // note: in IE 8, sometimes `global !== window` but both are the prototypes of each other\n /* eslint-env browser */\n if (typeof window !== 'undefined' && obj === window) {\n return '{ [object Window] }';\n }\n if (obj === global) {\n return '{ [object globalThis] }';\n }\n if (!isDate(obj) && !isRegExp(obj)) {\n var ys = arrObjKeys(obj, inspect);\n var isPlainObject = gPO ? gPO(obj) === Object.prototype : obj instanceof Object || obj.constructor === Object;\n var protoTag = obj instanceof Object ? '' : 'null prototype';\n var stringTag = !isPlainObject && toStringTag && Object(obj) === obj && toStringTag in obj ? $slice.call(toStr(obj), 8, -1) : protoTag ? 'Object' : '';\n var constructorTag = isPlainObject || typeof obj.constructor !== 'function' ? '' : obj.constructor.name ? obj.constructor.name + ' ' : '';\n var tag = constructorTag + (stringTag || protoTag ? '[' + $join.call($concat.call([], stringTag || [], protoTag || []), ': ') + '] ' : '');\n if (ys.length === 0) { return tag + '{}'; }\n if (indent) {\n return tag + '{' + indentedJoin(ys, indent) + '}';\n }\n return tag + '{ ' + $join.call(ys, ', ') + ' }';\n }\n return String(obj);\n};\n\nfunction wrapQuotes(s, defaultStyle, opts) {\n var quoteChar = (opts.quoteStyle || defaultStyle) === 'double' ? '\"' : \"'\";\n return quoteChar + s + quoteChar;\n}\n\nfunction quote(s) {\n return $replace.call(String(s), /\"/g, '"');\n}\n\nfunction isArray(obj) { return toStr(obj) === '[object Array]' && (!toStringTag || !(typeof obj === 'object' && toStringTag in obj)); }\nfunction isDate(obj) { return toStr(obj) === '[object Date]' && (!toStringTag || !(typeof obj === 'object' && toStringTag in obj)); }\nfunction isRegExp(obj) { return toStr(obj) === '[object RegExp]' && (!toStringTag || !(typeof obj === 'object' && toStringTag in obj)); }\nfunction isError(obj) { return toStr(obj) === '[object Error]' && (!toStringTag || !(typeof obj === 'object' && toStringTag in obj)); }\nfunction isString(obj) { return toStr(obj) === '[object String]' && (!toStringTag || !(typeof obj === 'object' && toStringTag in obj)); }\nfunction isNumber(obj) { return toStr(obj) === '[object Number]' && (!toStringTag || !(typeof obj === 'object' && toStringTag in obj)); }\nfunction isBoolean(obj) { return toStr(obj) === '[object Boolean]' && (!toStringTag || !(typeof obj === 'object' && toStringTag in obj)); }\n\n// Symbol and BigInt do have Symbol.toStringTag by spec, so that can't be used to eliminate false positives\nfunction isSymbol(obj) {\n if (hasShammedSymbols) {\n return obj && typeof obj === 'object' && obj instanceof Symbol;\n }\n if (typeof obj === 'symbol') {\n return true;\n }\n if (!obj || typeof obj !== 'object' || !symToString) {\n return false;\n }\n try {\n symToString.call(obj);\n return true;\n } catch (e) {}\n return false;\n}\n\nfunction isBigInt(obj) {\n if (!obj || typeof obj !== 'object' || !bigIntValueOf) {\n return false;\n }\n try {\n bigIntValueOf.call(obj);\n return true;\n } catch (e) {}\n return false;\n}\n\nvar hasOwn = Object.prototype.hasOwnProperty || function (key) { return key in this; };\nfunction has(obj, key) {\n return hasOwn.call(obj, key);\n}\n\nfunction toStr(obj) {\n return objectToString.call(obj);\n}\n\nfunction nameOf(f) {\n if (f.name) { return f.name; }\n var m = $match.call(functionToString.call(f), /^function\\s*([\\w$]+)/);\n if (m) { return m[1]; }\n return null;\n}\n\nfunction indexOf(xs, x) {\n if (xs.indexOf) { return xs.indexOf(x); }\n for (var i = 0, l = xs.length; i < l; i++) {\n if (xs[i] === x) { return i; }\n }\n return -1;\n}\n\nfunction isMap(x) {\n if (!mapSize || !x || typeof x !== 'object') {\n return false;\n }\n try {\n mapSize.call(x);\n try {\n setSize.call(x);\n } catch (s) {\n return true;\n }\n return x instanceof Map; // core-js workaround, pre-v2.5.0\n } catch (e) {}\n return false;\n}\n\nfunction isWeakMap(x) {\n if (!weakMapHas || !x || typeof x !== 'object') {\n return false;\n }\n try {\n weakMapHas.call(x, weakMapHas);\n try {\n weakSetHas.call(x, weakSetHas);\n } catch (s) {\n return true;\n }\n return x instanceof WeakMap; // core-js workaround, pre-v2.5.0\n } catch (e) {}\n return false;\n}\n\nfunction isWeakRef(x) {\n if (!weakRefDeref || !x || typeof x !== 'object') {\n return false;\n }\n try {\n weakRefDeref.call(x);\n return true;\n } catch (e) {}\n return false;\n}\n\nfunction isSet(x) {\n if (!setSize || !x || typeof x !== 'object') {\n return false;\n }\n try {\n setSize.call(x);\n try {\n mapSize.call(x);\n } catch (m) {\n return true;\n }\n return x instanceof Set; // core-js workaround, pre-v2.5.0\n } catch (e) {}\n return false;\n}\n\nfunction isWeakSet(x) {\n if (!weakSetHas || !x || typeof x !== 'object') {\n return false;\n }\n try {\n weakSetHas.call(x, weakSetHas);\n try {\n weakMapHas.call(x, weakMapHas);\n } catch (s) {\n return true;\n }\n return x instanceof WeakSet; // core-js workaround, pre-v2.5.0\n } catch (e) {}\n return false;\n}\n\nfunction isElement(x) {\n if (!x || typeof x !== 'object') { return false; }\n if (typeof HTMLElement !== 'undefined' && x instanceof HTMLElement) {\n return true;\n }\n return typeof x.nodeName === 'string' && typeof x.getAttribute === 'function';\n}\n\nfunction inspectString(str, opts) {\n if (str.length > opts.maxStringLength) {\n var remaining = str.length - opts.maxStringLength;\n var trailer = '... ' + remaining + ' more character' + (remaining > 1 ? 's' : '');\n return inspectString($slice.call(str, 0, opts.maxStringLength), opts) + trailer;\n }\n // eslint-disable-next-line no-control-regex\n var s = $replace.call($replace.call(str, /(['\\\\])/g, '\\\\$1'), /[\\x00-\\x1f]/g, lowbyte);\n return wrapQuotes(s, 'single', opts);\n}\n\nfunction lowbyte(c) {\n var n = c.charCodeAt(0);\n var x = {\n 8: 'b',\n 9: 't',\n 10: 'n',\n 12: 'f',\n 13: 'r'\n }[n];\n if (x) { return '\\\\' + x; }\n return '\\\\x' + (n < 0x10 ? '0' : '') + $toUpperCase.call(n.toString(16));\n}\n\nfunction markBoxed(str) {\n return 'Object(' + str + ')';\n}\n\nfunction weakCollectionOf(type) {\n return type + ' { ? }';\n}\n\nfunction collectionOf(type, size, entries, indent) {\n var joinedEntries = indent ? indentedJoin(entries, indent) : $join.call(entries, ', ');\n return type + ' (' + size + ') {' + joinedEntries + '}';\n}\n\nfunction singleLineValues(xs) {\n for (var i = 0; i < xs.length; i++) {\n if (indexOf(xs[i], '\\n') >= 0) {\n return false;\n }\n }\n return true;\n}\n\nfunction getIndent(opts, depth) {\n var baseIndent;\n if (opts.indent === '\\t') {\n baseIndent = '\\t';\n } else if (typeof opts.indent === 'number' && opts.indent > 0) {\n baseIndent = $join.call(Array(opts.indent + 1), ' ');\n } else {\n return null;\n }\n return {\n base: baseIndent,\n prev: $join.call(Array(depth + 1), baseIndent)\n };\n}\n\nfunction indentedJoin(xs, indent) {\n if (xs.length === 0) { return ''; }\n var lineJoiner = '\\n' + indent.prev + indent.base;\n return lineJoiner + $join.call(xs, ',' + lineJoiner) + '\\n' + indent.prev;\n}\n\nfunction arrObjKeys(obj, inspect) {\n var isArr = isArray(obj);\n var xs = [];\n if (isArr) {\n xs.length = obj.length;\n for (var i = 0; i < obj.length; i++) {\n xs[i] = has(obj, i) ? inspect(obj[i], obj) : '';\n }\n }\n var syms = typeof gOPS === 'function' ? gOPS(obj) : [];\n var symMap;\n if (hasShammedSymbols) {\n symMap = {};\n for (var k = 0; k < syms.length; k++) {\n symMap['$' + syms[k]] = syms[k];\n }\n }\n\n for (var key in obj) { // eslint-disable-line no-restricted-syntax\n if (!has(obj, key)) { continue; } // eslint-disable-line no-restricted-syntax, no-continue\n if (isArr && String(Number(key)) === key && key < obj.length) { continue; } // eslint-disable-line no-restricted-syntax, no-continue\n if (hasShammedSymbols && symMap['$' + key] instanceof Symbol) {\n // this is to prevent shammed Symbols, which are stored as strings, from being included in the string key section\n continue; // eslint-disable-line no-restricted-syntax, no-continue\n } else if ($test.call(/[^\\w$]/, key)) {\n xs.push(inspect(key, obj) + ': ' + inspect(obj[key], obj));\n } else {\n xs.push(key + ': ' + inspect(obj[key], obj));\n }\n }\n if (typeof gOPS === 'function') {\n for (var j = 0; j < syms.length; j++) {\n if (isEnumerable.call(obj, syms[j])) {\n xs.push('[' + inspect(syms[j]) + ']: ' + inspect(obj[syms[j]], obj));\n }\n }\n }\n return xs;\n}\n","/* global define */\nvoid (function (root, factory) {\n if (typeof define === 'function' && define.amd) define(factory)\n else if (typeof exports === 'object') module.exports = factory()\n else {\n if (window.jQuery) window.jQuery.onmount = factory()\n else root.onmount = factory()\n }\n}(this, function ($) {\n /*\n * Internal: Registry.\n */\n\n var handlers, behaviors, selectors, log\n\n /*\n * Internal: IDs for auto-incrementing.\n */\n\n var bid = 0 /* behavior ID */\n var cid = 0 /* component ID */\n\n /**\n * (Module) Adds a behavior, or triggers behaviors.\n *\n * When no parameters are passed, it triggers all behaviors. When one\n * parameter is passed, it triggers the given behavior. Otherwise, it adds a\n * behavior.\n *\n * // define a behavior\n * $.onmount('.select-box', function () {\n * $(this).on('...')\n * })\n *\n * // define a behavior with exit\n * $.onmount('.select-box', function () {\n * $(document).on('...')\n * }, function () {\n * $(document).off('...')\n * })\n *\n * // retrigger a onmount\n * $.onmount('.select-box')\n *\n * // retriggers all behaviors\n * $.onmount()\n */\n\n function onmount (selector, init, exit, options) {\n if (typeof exit === 'object') {\n options = exit\n exit = undefined\n }\n\n if (arguments.length === 0 || isjQuery(selector) || isEvent(selector)) {\n // onmount() - trigger all behaviors. Also account for cases such as\n // $($.onmount), where it's triggered with a jQuery event object.\n onmount.poll()\n } else if (arguments.length === 1) {\n // onmount(selector) - trigger for a given selector.\n onmount.poll(selector)\n } else {\n // onmount(sel, fn, [fn]) - register a new behavior.\n var be = new Behavior(selector, init, exit, options)\n behaviors.push(be)\n be.register()\n }\n\n return this\n }\n\n /*\n * Use jQuery (or a jQuery-like) when available. This will allow\n * the use of jQuery selectors.\n */\n\n onmount.$ = window.jQuery || window.Zepto || window.Ender\n\n /*\n * Detect MutationObserver support for `onmount.observe()`.\n * You may even add a polyfill here via\n * `onmount.MutationObserver = require('mutation-observer')`.\n */\n\n onmount.MutationObserver =\n window.MutationObserver ||\n window.WebKitMutationObserver ||\n window.MozMutationObserver\n\n /**\n * Set this to true if you want to see debug messages.\n */\n\n onmount.debug = false\n\n /**\n * Internal: triggers behaviors for a selector or for all.\n *\n * onmount.poll()\n * onmount.poll('.js-button')\n */\n\n onmount.poll = function poll (selector) {\n if (selector) selector = onmount.selectify(selector)\n var functions = (selector ? selectors[selector] : handlers) || []\n each(functions, function (fn) { fn() })\n }\n\n /**\n * Observes automatically using MutationObserver events.\n *\n * onmount.observe()\n */\n\n onmount.observe = function observe () {\n var MutationObserver = onmount.MutationObserver\n if (typeof MutationObserver === 'undefined') return\n\n var obs = new MutationObserver(function (mutations) {\n each(behaviors, function (be) {\n each(mutations, function (mutation) {\n each(mutation.addedNodes, function (el) {\n if (matches(el, be.selector)) be.visitEnter(el)\n })\n\n each(mutation.removedNodes, function (el) {\n if (matches(el, be.selector)) be.doExit(el)\n })\n })\n })\n })\n\n obs.observe(document, { subtree: true, childList: true })\n onmount.observer = obs\n\n // trigger everything before going\n onmount()\n return true\n }\n\n /**\n * Turns off observation first issued by `onmount.observe()`.\n */\n\n onmount.unobserve = function unobserve () {\n if (!this.observer) return\n this.observer.disconnect()\n delete this.observer\n }\n\n /**\n * Forces teardown of all behaviors currently applied.\n */\n\n onmount.teardown = function teardown () {\n each(behaviors, function (be) {\n each(be.loaded, function (el, i) {\n if (el) be.doExit(el, i)\n })\n })\n }\n\n /**\n * Clears all behaviors. Useful for tests.\n * This will NOT call exit handlers.\n */\n\n onmount.reset = function reset () {\n handlers = onmount.handlers = []\n selectors = onmount.selectors = {}\n behaviors = onmount.behaviors = []\n }\n\n /**\n * Internal: Converts `@role` to `[role~=\"role\"]` if needed. You can override\n * this by reimplementing `onmount.selectify`.\n *\n * selectify('@hi') //=> '[role=\"hi\"]'\n * selectify('.btn') //=> '.btn'\n */\n\n onmount.selectify = function selectify (selector) {\n if (selector[0] === '@') {\n return '[role~=\"' + selector.substr(1).replace(/\"/g, '\\\\\"') + '\"]'\n }\n return selector\n }\n\n /**\n * Internal: behavior class\n */\n\n function Behavior (selector, init, exit, options) {\n this.id = 'b' + bid++\n this.init = init\n this.exit = exit\n this.selector = onmount.selectify(selector)\n this.loaded = [] // keep track of dom elements loaded for this behavior\n this.key = '__onmount:' + bid // leave the state in el['__onmount:12']\n this.detectMutate = options && options.detectMutate\n }\n\n /**\n * Internal: initialize this behavior by registering itself to the internal\n * `selectors` map. This allows you to call `onmount(selector)` later on.\n */\n\n Behavior.prototype.register = function () {\n var be = this\n var loaded = this.loaded\n var selector = this.selector\n\n register(selector, function () {\n var list = query(selector)\n\n // This is the function invoked on `onmount(selector)`.\n // Clean up old ones (if they're not in the DOM anymore).\n each(loaded, function (element, i) {\n be.visitExit(element, i, list)\n })\n\n // Clean up new ones (if they're not loaded yet).\n eachOf(list, function (element) {\n be.visitEnter(element)\n })\n })\n }\n\n /**\n * Internal: visits the element `el` and turns it on if applicable.\n */\n\n Behavior.prototype.visitEnter = function (el) {\n if (el[this.key]) return\n var options = { id: 'c' + cid, selector: this.selector }\n if (this.init.call(el, options) !== false) {\n if (onmount.debug) log('enter', this.selector, el)\n el[this.key] = options\n this.loaded.push(el)\n cid++\n }\n }\n\n /**\n * Internal: visits the element `el` and sees if it needs its exit handler\n * called.\n */\n\n Behavior.prototype.visitExit = function (el, i, list) {\n if (!el) return\n if (this.detectMutate) {\n if (!has(list, el)) return this.doExit(el, i)\n } else {\n if (!isAttached(el)) return this.doExit(el, i)\n }\n }\n\n /**\n * Internal: calls the exit handler for the behavior for element `el` (if\n * available), and marks the behavior/element as uninitialized.\n */\n\n Behavior.prototype.doExit = function (el, i) {\n if (typeof i === 'undefined') i = this.loaded.indexOf(el)\n this.loaded[i] = undefined\n if (this.exit && this.exit.call(el, el[this.key]) !== false) {\n if (onmount.debug) log('exit', this.selector, el)\n delete el[this.key]\n }\n }\n\n /**\n * Internal: check if an element is still attached to its document.\n */\n\n function isAttached (el) {\n while (el) {\n if (el === document.documentElement) return true\n el = el.parentElement\n }\n }\n\n /**\n * Internal: reimplementation of `$('...')`. If jQuery is available,\n * use it (I guess to preserve IE compatibility and to enable special jQuery\n * attribute selectors). Use with `eachOf()` or `has()`.\n */\n\n function query (selector, fn) {\n if (onmount.$) return onmount.$(selector)\n return document.querySelectorAll(selector)\n }\n\n /**\n * Internal: iterates through a `query()` result.\n */\n\n function eachOf (list, fn) {\n if (onmount.$) return list.each(function (i) { fn(this, i) })\n return each(list, fn)\n }\n\n /**\n * Interanl: checks if given element `el` is in the query result `list`.\n */\n\n function has (list, el) {\n if (onmount.$) return list.index(el) > -1\n return list.indexOf(el) > -1\n }\n\n /**\n * Internal: registers a behavior handler for a selector.\n */\n\n function register (selector, fn) {\n if (!selectors[selector]) selectors[selector] = []\n selectors[selector].push(fn)\n handlers.push(fn)\n }\n\n /**\n * Checks if a given element `el` matches `selector`.\n * Compare with [$.fn.is](http://api.jquery.com/is/).\n *\n * var matches = require('dom101/matches');\n *\n * matches(button, ':focus');\n */\n\n function matches (el, selector) {\n var _matches = el.matches ||\n el.matchesSelector ||\n el.msMatchesSelector ||\n el.mozMatchesSelector ||\n el.webkitMatchesSelector ||\n el.oMatchesSelector\n\n if (onmount.$) {\n return onmount.$(el).is(selector)\n } else if (_matches) {\n return _matches.call(el, selector)\n } else if (el.parentNode) {\n // IE8 and below\n var nodes = el.parentNode.querySelectorAll(selector)\n for (var i = nodes.length; i--; 0) {\n if (nodes[i] === el) return true\n }\n return false\n }\n }\n\n /**\n * Iterates through `list` (an array or an object). This is useful when dealing\n * with NodeLists like `document.querySelectorAll`.\n *\n * var each = require('dom101/each');\n * var qa = require('dom101/query-selector-all');\n *\n * each(qa('.button'), function (el) {\n * addClass('el', 'selected');\n * });\n */\n\n function each (list, fn) {\n var i\n var len = list.length\n\n if (len === +len) {\n for (i = 0; i < len; i++) { fn(list[i], i) }\n } else {\n for (i in list) {\n if (list.hasOwnProperty(i)) fn(list[i], i)\n }\n }\n\n return list\n }\n\n /**\n * Internal: Check if a given object is jQuery\n */\n\n function isjQuery ($) {\n return typeof $ === 'function' && $.fn && $.noConflict\n }\n\n function isEvent (e) {\n return typeof e === 'object' && e.target\n }\n\n /**\n * Internal: logging\n */\n\n var styles = {\n enter: 'background-color:#dfd;font-weight:bold;color:#141',\n exit: 'background-color:#fdd;font-weight:bold;color:#411'\n }\n\n if (~navigator.userAgent.indexOf('Mozilla')) {\n log = function (type, selector, el) {\n console.log('%c %s ', styles[type], selector, el)\n }\n } else {\n log = function (type, selector, el) {\n console.log('(onmount)', type, selector)\n }\n }\n\n /*\n * Export\n */\n\n onmount.reset()\n return onmount\n}))\n","!function(t,e){if(\"object\"==typeof exports&&\"object\"==typeof module)module.exports=e();else if(\"function\"==typeof define&&define.amd)define([],e);else{var n=e();for(var o in n)(\"object\"==typeof exports?exports:t)[o]=n[o]}}(self,(()=>(()=>{\"use strict\";var 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Array.from(t.querySelectorAll(\"[data-hs-combo-box-search-text]\")).some((function(t){return n.includes(t.getAttribute(\"data-hs-combo-box-search-text\").toLowerCase())}))},e.prototype.isTextExistsAny=function(t,e){return Array.from(t.querySelectorAll(\"[data-hs-combo-box-search-text]\")).some((function(t){return t.getAttribute(\"data-hs-combo-box-search-text\").toLowerCase().includes(e.toLowerCase())}))},e.prototype.valuesBySelector=function(t){return Array.from(t.querySelectorAll(\"[data-hs-combo-box-search-text]\")).reduce((function(t,e){return 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l(this,(function(s){switch(s.label){case 0:this.buildOutputLoader(),s.label=1;case 1:return s.trys.push([1,4,,5]),t=\"\".concat(this.apiQuery),e=\"\".concat(this.apiSearchQuery,\"=\").concat(this.value.toLowerCase()),n=this.apiUrl,this.apiQuery&&this.apiSearchQuery?n+=\"?\".concat(e,\"&\").concat(t):this.apiQuery?n+=\"?\".concat(t):this.apiSearchQuery&&(n+=\"?\".concat(e)),[4,fetch(n,this.apiHeaders)];case 2:return[4,s.sent().json()];case 3:return o=s.sent(),this.apiDataPart&&(o=o[this.apiDataPart]),this.apiSearchQuery&&(this.items=[]),this.itemsWrapper?this.itemsWrapper.innerHTML=\"\":this.output.innerHTML=\"\",\"tabs\"===this.groupingType?(this.setApiGroups(o),this.groupTabsRender(),this.jsonItemsRender(o)):\"default\"===this.groupingType?(this.setApiGroups(o),this.groups.forEach((function(t){var e=(0,u.htmlToElement)(r.groupingTitleTemplate);e.setAttribute(\"data-hs-combo-box-group-title\",t.name),e.classList.add(\"--exclude-accessibility\"),e.innerText=t.title;var n=o.filter((function(e){return e[r.apiGroupField]===t.name}));r.itemsWrapper?r.itemsWrapper.append(e):r.output.append(e),r.jsonItemsRender(n)}))):this.jsonItemsRender(o),this.setResults(this.input.value),[3,5];case 4:return i=s.sent(),console.error(i),[3,5];case 5:return this.destroyOutputLoader(),[2]}}))}))},e.prototype.jsonItemsRender=function(t){var e=this;t.forEach((function(t,n){if(e.isItemExists(t))return!1;var o=(0,u.htmlToElement)(e.outputItemTemplate);o.querySelectorAll(\"[data-hs-combo-box-search-text]\").forEach((function(e){var n,o;e.textContent=null!==(n=t[e.getAttribute(\"data-hs-combo-box-output-item-field\")])&&void 0!==n?n:\"\",e.setAttribute(\"data-hs-combo-box-search-text\",null!==(o=t[e.getAttribute(\"data-hs-combo-box-output-item-field\")])&&void 0!==o?o:\"\")})),o.querySelectorAll(\"[data-hs-combo-box-output-item-attr]\").forEach((function(e){JSON.parse(e.getAttribute(\"data-hs-combo-box-output-item-attr\")).forEach((function(n){e.setAttribute(n.attr,t[n.valueFrom])}))})),o.setAttribute(\"tabIndex\",\"\".concat(n)),\"tabs\"!==e.groupingType&&\"default\"!==e.groupingType||o.setAttribute(\"data-hs-combo-box-output-item\",'{\"group\": {\"name\": \"'.concat(t[e.apiGroupField],'\", \"title\": \"').concat(t[e.apiGroupField],'\"}}')),e.items=a(a([],e.items,!0),[o],!1),e.preventSelection||o.addEventListener(\"click\",(function(){e.close(o.querySelector(\"[data-hs-combo-box-value]\").getAttribute(\"data-hs-combo-box-search-text\")),e.setSelectedByValue(e.valuesBySelector(o))})),e.appendItemsToWrapper(o)}))},e.prototype.setGroups=function(){var t=[];this.items.forEach((function(e){var n=JSON.parse(e.getAttribute(\"data-hs-combo-box-output-item\")).group;t.some((function(t){return(null==t?void 0:t.name)===n.name}))||t.push(n)})),this.groups=t},e.prototype.setCurrent=function(){window.$hsComboBoxCollection.length&&(window.$hsComboBoxCollection.map((function(t){return t.element.isCurrent=!1})),this.isCurrent=!0)},e.prototype.setApiGroups=function(t){var e=this,n=[];t.forEach((function(t){var o=t[e.apiGroupField];n.some((function(t){return t.name===o}))||n.push({name:o,title:o})})),this.groups=n},e.prototype.sortItems=function(){return this.items.sort((function(t,e){var n=t.querySelector(\"[data-hs-combo-box-value]\").getAttribute(\"data-hs-combo-box-search-text\"),o=e.querySelector(\"[data-hs-combo-box-value]\").getAttribute(\"data-hs-combo-box-search-text\");return no?1:0}))},e.prototype.itemRender=function(t){var e=this,n=t.querySelector(\"[data-hs-combo-box-value]\").getAttribute(\"data-hs-combo-box-search-text\");this.itemsWrapper?this.itemsWrapper.append(t):this.output.append(t),this.preventSelection||t.addEventListener(\"click\",(function(){e.close(n),e.setSelectedByValue(e.valuesBySelector(t))}))},e.prototype.plainRender=function(t){var e=this;t.forEach((function(t){e.itemRender(t)}))},e.prototype.groupTabsRender=function(){var t=this,e=(0,u.htmlToElement)(this.tabsWrapperTemplate),n=(0,u.htmlToElement)('
');e.append(n),this.output.insertBefore(e,this.output.firstChild);var o=(0,u.htmlToElement)(this.groupingTitleTemplate);o.setAttribute(\"data-hs-combo-box-group-title\",\"all\"),o.classList.add(\"--exclude-accessibility\",\"active\"),o.innerText=\"All\",this.tabs=a(a([],this.tabs,!0),[o],!1),n.append(o),o.addEventListener(\"click\",(function(){t.selectedGroup=\"all\";var e=t.tabs.find((function(e){return e.getAttribute(\"data-hs-combo-box-group-title\")===t.selectedGroup}));t.tabs.forEach((function(t){return t.classList.remove(\"active\")})),e.classList.add(\"active\"),t.setItemsVisibility()})),this.groups.forEach((function(e){var o=(0,u.htmlToElement)(t.groupingTitleTemplate);o.setAttribute(\"data-hs-combo-box-group-title\",e.name),o.classList.add(\"--exclude-accessibility\"),o.innerText=e.title,t.tabs=a(a([],t.tabs,!0),[o],!1),n.append(o),o.addEventListener(\"click\",(function(){t.selectedGroup=e.name;var n=t.tabs.find((function(e){return e.getAttribute(\"data-hs-combo-box-group-title\")===t.selectedGroup}));t.tabs.forEach((function(t){return t.classList.remove(\"active\")})),n.classList.add(\"active\"),t.setItemsVisibility()}))}))},e.prototype.groupDefaultRender=function(){var t=this;this.groups.forEach((function(e){var n=(0,u.htmlToElement)(t.groupingTitleTemplate);n.setAttribute(\"data-hs-combo-box-group-title\",e.name),n.classList.add(\"--exclude-accessibility\"),n.innerText=e.title,t.itemsWrapper?t.itemsWrapper.append(n):t.output.append(n);var o=t.sortItems().filter((function(t){return JSON.parse(t.getAttribute(\"data-hs-combo-box-output-item\")).group.name===e.name}));t.plainRender(o)}))},e.prototype.itemsFromHtml=function(){if(\"default\"===this.groupingType)this.groupDefaultRender();else if(\"tabs\"===this.groupingType){var t=this.sortItems();this.groupTabsRender(),this.plainRender(t)}else{t=this.sortItems();this.plainRender(t)}this.setResults(this.input.value)},e.prototype.buildToggle=function(){var t=this;this.toggle.addEventListener(\"click\",(function(){t.isOpened?t.close():t.open(t.toggle.getAttribute(\"data-hs-combo-box-toggle\"))}))},e.prototype.buildToggleClose=function(){var t=this;this.toggleClose.addEventListener(\"click\",(function(){return t.close()}))},e.prototype.buildToggleOpen=function(){var t=this;this.toggleOpen.addEventListener(\"click\",(function(){return t.open()}))},e.prototype.setSelectedByValue=function(t){var e=this;this.items.forEach((function(n){e.isTextExists(n,t)?n.classList.add(\"selected\"):n.classList.remove(\"selected\")}))},e.prototype.setValue=function(t){this.selected=t,this.value=t,this.input.value=t,this.fireEvent(\"select\",this.el),(0,u.dispatch)(\"select.hs.combobox\",this.el,this.value)},e.prototype.setItemsVisibility=function(){var t=this;\"tabs\"===this.groupingType&&\"all\"!==this.selectedGroup&&this.items.forEach((function(t){t.style.display=\"none\"}));var e=\"tabs\"===this.groupingType?\"all\"===this.selectedGroup?this.items:this.items.filter((function(e){return JSON.parse(e.getAttribute(\"data-hs-combo-box-output-item\")).group.name===t.selectedGroup})):this.items;\"tabs\"===this.groupingType&&\"all\"!==this.selectedGroup&&e.forEach((function(t){t.style.display=\"block\"})),e.forEach((function(e){t.isTextExistsAny(e,t.value)?e.style.display=\"block\":e.style.display=\"none\"})),\"default\"===this.groupingType&&this.output.querySelectorAll(\"[data-hs-combo-box-group-title]\").forEach((function(e){var n=e.getAttribute(\"data-hs-combo-box-group-title\");t.items.filter((function(t){return JSON.parse(t.getAttribute(\"data-hs-combo-box-output-item\")).group.name===n&&\"block\"===t.style.display})).length?e.style.display=\"block\":e.style.display=\"none\"}))},e.prototype.hasVisibleItems=function(){return!!this.items.length&&this.items.some((function(t){return\"block\"===t.style.display}))},e.prototype.appendItemsToWrapper=function(t){this.itemsWrapper?this.itemsWrapper.append(t):this.output.append(t)},e.prototype.buildOutputPlaceholder=function(){this.outputPlaceholder||(this.outputPlaceholder=(0,u.htmlToElement)(this.outputEmptyTemplate)),this.appendItemsToWrapper(this.outputPlaceholder)},e.prototype.destroyOutputPlaceholder=function(){this.outputPlaceholder&&this.outputPlaceholder.remove(),this.outputPlaceholder=null},e.prototype.resultItems=function(){if(!this.items.length)return!1;this.setItemsVisibility(),this.setSelectedByValue([this.selected])},e.prototype.setValueAndOpen=function(t){this.value=t,this.items.length&&this.setItemsVisibility()},e.prototype.open=function(t){var e=this;return!this.animationInProcess&&(void 0!==t&&this.setValueAndOpen(t),!this.preventVisibility&&(this.animationInProcess=!0,this.output.style.display=\"block\",this.preventAutoPosition||this.recalculateDirection(),setTimeout((function(){e.el.classList.add(\"active\"),e.animationInProcess=!1})),void(this.isOpened=!0)))},e.prototype.setValueAndClear=function(t){t?this.setValue(t):this.setValue(this.selected),this.outputPlaceholder&&this.destroyOutputPlaceholder()},e.prototype.close=function(t){var e=this;return!this.animationInProcess&&(this.preventVisibility?(this.setValueAndClear(t),!1):(this.animationInProcess=!0,this.el.classList.remove(\"active\"),this.preventAutoPosition||(this.output.classList.remove(\"bottom-full\",\"top-full\"),this.output.style.marginTop=\"\",this.output.style.marginBottom=\"\"),(0,u.afterTransition)(this.output,(function(){e.output.style.display=\"none\",e.setValueAndClear(t),e.animationInProcess=!1})),void(this.isOpened=!1)))},e.prototype.recalculateDirection=function(){(0,u.isEnoughSpace)(this.output,this.input,\"bottom\",this.gap,this.viewport)?(this.output.classList.remove(\"bottom-full\"),this.output.style.marginBottom=\"\",this.output.classList.add(\"top-full\"),this.output.style.marginTop=\"\".concat(this.gap,\"px\")):(this.output.classList.remove(\"top-full\"),this.output.style.marginTop=\"\",this.output.classList.add(\"bottom-full\"),this.output.style.marginBottom=\"\".concat(this.gap,\"px\"))},e.getInstance=function(t,e){var n=window.$hsComboBoxCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));return n?e?n:n.element:null},e.autoInit=function(){window.$hsComboBoxCollection||(window.$hsComboBoxCollection=[]),document.querySelectorAll(\"[data-hs-combo-box]:not(.--prevent-on-load-init)\").forEach((function(t){if(!window.$hsComboBoxCollection.find((function(e){var n;return(null===(n=null==e?void 0:e.element)||void 0===n?void 0:n.el)===t}))){var n=t.getAttribute(\"data-hs-combo-box\"),o=n?JSON.parse(n):{};new e(t,o)}})),window.$hsComboBoxCollection&&(window.addEventListener(\"click\",(function(t){var n=t.target;e.closeCurrentlyOpened(n)})),document.addEventListener(\"keydown\",(function(t){return e.accessibility(t)})))},e.close=function(t){var e=window.$hsComboBoxCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));e&&e.element.isOpened&&e.element.close()},e.closeCurrentlyOpened=function(t){if(void 0===t&&(t=null),!t.closest(\"[data-hs-combo-box].active\")){var e=window.$hsComboBoxCollection.filter((function(t){return t.element.isOpened}))||null;e&&e.forEach((function(t){t.element.close()}))}},e.getPreparedItems=function(t,e){return void 0===t&&(t=!1),e?(t?Array.from(e.querySelectorAll(\":scope > *:not(.--exclude-accessibility)\")).filter((function(t){return\"none\"!==t.style.display})).reverse():Array.from(e.querySelectorAll(\":scope > *:not(.--exclude-accessibility)\")).filter((function(t){return\"none\"!==t.style.display}))).filter((function(t){return!t.classList.contains(\"disabled\")})):null},e.setHighlighted=function(t,e,n){e.focus(),n.value=e.querySelector(\"[data-hs-combo-box-value]\").getAttribute(\"data-hs-combo-box-search-text\"),t&&t.classList.remove(\"hs-combo-box-output-item-highlighted\"),e.classList.add(\"hs-combo-box-output-item-highlighted\")},e.accessibility=function(t){if(window.$hsComboBoxCollection.find((function(t){return t.element.isOpened}))&&p.COMBO_BOX_ACCESSIBILITY_KEY_SET.includes(t.code)&&!t.metaKey)switch(t.code){case\"Escape\":t.preventDefault(),this.onEscape();break;case\"ArrowUp\":t.preventDefault(),this.onArrow();break;case\"ArrowDown\":t.preventDefault(),this.onArrow(!1);break;case\"Home\":t.preventDefault(),this.onStartEnd();break;case\"End\":t.preventDefault(),this.onStartEnd(!1);break;case\"Enter\":t.preventDefault(),this.onEnter(t)}},e.onEscape=function(){var t=window.$hsComboBoxCollection.find((function(t){return!t.element.preventVisibility&&t.element.isOpened}));t&&(t.element.close(),t.element.input.blur())},e.onArrow=function(t){var n;void 0===t&&(t=!0);var o=window.$hsComboBoxCollection.find((function(t){return t.element.preventVisibility?t.element.isCurrent:t.element.isOpened}));if(o){var i=null!==(n=o.element.itemsWrapper)&&void 0!==n?n:o.element.output;if(!i)return!1;var r,s=e.getPreparedItems(t,i),l=i.querySelector(\".hs-combo-box-output-item-highlighted\");l||s[0].classList.add(\"hs-combo-box-output-item-highlighted\");var a=s.findIndex((function(t){return t===l}));a+1=this.limit)return!1;this.el.hasAttribute(\"disabled\")&&this.el.setAttribute(\"disabled\",\"\");var t=this.target.cloneNode(!0);this.addToItems(t),this.limit&&this.items.length>=this.limit&&this.el.setAttribute(\"disabled\",\"disabled\"),this.fireEvent(\"copy\",t),(0,l.dispatch)(\"copy.hs.copyMarkup\",t,t)},e.prototype.addPredefinedItems=function(){var t=this;Array.from(this.wrapper.children).filter((function(t){return!t.classList.contains(\"[--ignore-for-count]\")})).forEach((function(e){t.addToItems(e)}))},e.prototype.setTarget=function(){var t=\"string\"==typeof this.targetSelector?document.querySelector(this.targetSelector).cloneNode(!0):this.targetSelector.cloneNode(!0);t.removeAttribute(\"id\"),this.target=t},e.prototype.setWrapper=function(){this.wrapper=\"string\"==typeof this.wrapperSelector?document.querySelector(this.wrapperSelector):this.wrapperSelector},e.prototype.addToItems=function(t){var e=this,n=t.querySelector(\"[data-hs-copy-markup-delete-item]\");this.wrapper?this.wrapper.append(t):this.el.before(t),n&&n.addEventListener(\"click\",(function(){return e.delete(t)})),this.items.push(t)},e.prototype.delete=function(t){var e=this.items.indexOf(t);-1!==e&&this.items.splice(e,1),t.remove(),this.fireEvent(\"delete\",t),(0,l.dispatch)(\"delete.hs.copyMarkup\",t,t)},e.getInstance=function(t,e){var n=window.$hsCopyMarkupCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));return n?e?n:n.element:null},e.autoInit=function(){window.$hsCopyMarkupCollection||(window.$hsCopyMarkupCollection=[]),document.querySelectorAll(\"[data-hs-copy-markup]:not(.--prevent-on-load-init)\").forEach((function(t){if(!window.$hsCopyMarkupCollection.find((function(e){var n;return(null===(n=null==e?void 0:e.element)||void 0===n?void 0:n.el)===t}))){var n=t.getAttribute(\"data-hs-copy-markup\"),o=n?JSON.parse(n):{};new e(t,o)}}))},e}(s(n(737)).default);window.addEventListener(\"load\",(function(){a.autoInit()})),\"undefined\"!=typeof window&&(window.HSCopyMarkup=a),e.default=a},610:function(t,e,n){\n/*\n * HSDropdown\n * @version: 2.1.0\n * @author: HTMLStream\n * @license: Licensed under MIT (https://preline.co/docs/license.html)\n * Copyright 2023 HTMLStream\n */\nvar o,i=this&&this.__extends||(o=function(t,e){return o=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n])},o(t,e)},function(t,e){if(\"function\"!=typeof e&&null!==e)throw new TypeError(\"Class extends value \"+String(e)+\" is not a constructor or null\");function n(){this.constructor=t}o(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)}),r=this&&this.__spreadArray||function(t,e,n){if(n||2===arguments.length)for(var o,i=0,r=e.length;i .hs-dropdown-toggle\")||i.el.querySelector(\":scope > .hs-dropdown-toggle-wrapper > .hs-dropdown-toggle\")||i.el.children[0],i.closers=Array.from(i.el.querySelectorAll(\":scope .hs-dropdown-close\"))||null,i.menu=i.el.querySelector(\":scope > .hs-dropdown-menu\"),i.eventMode=(0,l.getClassProperty)(i.el,\"--trigger\",\"click\"),i.closeMode=(0,l.getClassProperty)(i.el,\"--auto-close\",\"true\"),i.animationInProcess=!1,i.toggle&&i.menu&&i.init(),i}return i(e,t),e.prototype.init=function(){var t=this;if(this.createCollection(window.$hsDropdownCollection,this),this.toggle.disabled)return!1;this.toggle.addEventListener(\"click\",(function(e){return t.onClickHandler(e)})),this.closers&&this.buildClosers(),(0,l.isIOS)()||(0,l.isIpadOS)()||(this.el.addEventListener(\"mouseenter\",(function(){return t.onMouseEnterHandler()})),this.el.addEventListener(\"mouseleave\",(function(){return t.onMouseLeaveHandler()})))},e.prototype.resizeHandler=function(){this.eventMode=(0,l.getClassProperty)(this.el,\"--trigger\",\"click\")},e.prototype.buildClosers=function(){var t=this;this.closers.forEach((function(e){e.addEventListener(\"click\",(function(){return t.close()}))}))},e.prototype.onClickHandler=function(t){this.el.classList.contains(\"open\")&&!this.menu.classList.contains(\"hidden\")?this.close():this.open()},e.prototype.onMouseEnterHandler=function(){if(\"hover\"!==this.eventMode)return!1;this.el._popper&&this.forceClearState(),!this.el.classList.contains(\"open\")&&this.menu.classList.contains(\"hidden\")&&this.open()},e.prototype.onMouseLeaveHandler=function(){if(\"hover\"!==this.eventMode)return!1;this.el.classList.contains(\"open\")&&!this.menu.classList.contains(\"hidden\")&&this.close()},e.prototype.destroyPopper=function(){this.menu.classList.remove(\"block\"),this.menu.classList.add(\"hidden\"),this.menu.style.inset=null,this.menu.style.position=null,this.el&&this.el._popper&&this.el._popper.destroy(),this.animationInProcess=!1},e.prototype.absoluteStrategyModifiers=function(){var t=this;return[{name:\"applyStyles\",fn:function(e){var n=(window.getComputedStyle(t.el).getPropertyValue(\"--strategy\")||\"absolute\").replace(\" \",\"\"),o=(window.getComputedStyle(t.el).getPropertyValue(\"--adaptive\")||\"adaptive\").replace(\" \",\"\");e.state.elements.popper.style.position=n,e.state.elements.popper.style.transform=\"adaptive\"===o?e.state.styles.popper.transform:null,e.state.elements.popper.style.top=null,e.state.elements.popper.style.bottom=null,e.state.elements.popper.style.left=null,e.state.elements.popper.style.right=null,e.state.elements.popper.style.margin=0}},{name:\"computeStyles\",options:{adaptive:!1}}]},e.prototype.open=function(){var t=this;if(this.el.classList.contains(\"open\"))return!1;if(this.animationInProcess)return!1;this.animationInProcess=!0;var e=(window.getComputedStyle(this.el).getPropertyValue(\"--placement\")||\"\").replace(\" \",\"\"),n=(window.getComputedStyle(this.el).getPropertyValue(\"--flip\")||\"true\").replace(\" \",\"\"),o=(window.getComputedStyle(this.el).getPropertyValue(\"--strategy\")||\"fixed\").replace(\" \",\"\"),i=parseInt((window.getComputedStyle(this.el).getPropertyValue(\"--offset\")||\"10\").replace(\" \",\"\"));\"static\"!==o&&(this.el._popper=(0,a.createPopper)(this.el,this.menu,{placement:u.POSITIONS[e]||\"bottom-start\",strategy:o,modifiers:r(r([],\"fixed\"!==o?this.absoluteStrategyModifiers():[],!0),[{name:\"flip\",enabled:\"true\"===n},{name:\"offset\",options:{offset:[0,i]}}],!1)})),this.menu.style.margin=null,this.menu.classList.remove(\"hidden\"),this.menu.classList.add(\"block\"),setTimeout((function(){t.el.classList.add(\"open\"),t.animationInProcess=!1})),this.fireEvent(\"open\",this.el),(0,l.dispatch)(\"open.hs.dropdown\",this.el,this.el)},e.prototype.close=function(t){var e=this;if(void 0===t&&(t=!0),this.animationInProcess||!this.el.classList.contains(\"open\"))return!1;if(this.animationInProcess=!0,t){var n=this.el.querySelector(\"[data-hs-dropdown-transition]\")||this.menu;(0,l.afterTransition)(n,(function(){return e.destroyPopper()}))}else this.destroyPopper();this.menu.style.margin=null,this.el.classList.remove(\"open\"),this.fireEvent(\"close\",this.el),(0,l.dispatch)(\"close.hs.dropdown\",this.el,this.el)},e.prototype.forceClearState=function(){this.destroyPopper(),this.menu.style.margin=null,this.el.classList.remove(\"open\")},e.getInstance=function(t,e){var n=window.$hsDropdownCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));return n?e?n:n.element.el:null},e.autoInit=function(){if(window.$hsDropdownCollection||(window.$hsDropdownCollection=[]),document.querySelectorAll(\".hs-dropdown:not(.--prevent-on-load-init)\").forEach((function(t){window.$hsDropdownCollection.find((function(e){var n;return(null===(n=null==e?void 0:e.element)||void 0===n?void 0:n.el)===t}))||new e(t)})),window.$hsDropdownCollection){document.addEventListener(\"keydown\",(function(t){return e.accessibility(t)})),window.addEventListener(\"click\",(function(t){var n=t.target;e.closeCurrentlyOpened(n)}));var t=window.innerWidth;window.addEventListener(\"resize\",(function(){window.innerWidth!==t&&(t=innerWidth,e.closeCurrentlyOpened(null,!1))}))}},e.open=function(t){var e=window.$hsDropdownCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));e&&e.element.menu.classList.contains(\"hidden\")&&e.element.open()},e.close=function(t){var e=window.$hsDropdownCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));e&&!e.element.menu.classList.contains(\"hidden\")&&e.element.close()},e.accessibility=function(t){this.history=l.menuSearchHistory;var e=window.$hsDropdownCollection.find((function(t){return t.element.el.classList.contains(\"open\")}));if(e&&(u.DROPDOWN_ACCESSIBILITY_KEY_SET.includes(t.code)||4===t.code.length&&t.code[t.code.length-1].match(/^[A-Z]*$/))&&!t.metaKey&&!e.element.menu.querySelector(\"input:focus\")&&!e.element.menu.querySelector(\"textarea:focus\"))switch(t.code){case\"Escape\":e.element.menu.querySelector(\".hs-select.active\")||(t.preventDefault(),this.onEscape(t));break;case\"Enter\":e.element.menu.querySelector(\".hs-select button:focus\")||e.element.menu.querySelector(\".hs-collapse-toggle:focus\")||this.onEnter(t);break;case\"ArrowUp\":t.preventDefault(),this.onArrow();break;case\"ArrowDown\":t.preventDefault(),this.onArrow(!1);break;case\"Home\":t.preventDefault(),this.onStartEnd();break;case\"End\":t.preventDefault(),this.onStartEnd(!1);break;default:t.preventDefault(),this.onFirstLetter(t.key)}},e.onEscape=function(t){var e=t.target.closest(\".hs-dropdown.open\");if(window.$hsDropdownCollection.find((function(t){return t.element.el===e}))){var n=window.$hsDropdownCollection.find((function(t){return t.element.el===e}));n&&(n.element.close(),n.element.toggle.focus())}else this.closeCurrentlyOpened()},e.onEnter=function(t){var e=t.target.parentElement;if(window.$hsDropdownCollection.find((function(t){return t.element.el===e}))){t.preventDefault();var n=window.$hsDropdownCollection.find((function(t){return t.element.el===e}));n&&n.element.open()}},e.onArrow=function(t){void 0===t&&(t=!0);var e=window.$hsDropdownCollection.find((function(t){return t.element.el.classList.contains(\"open\")}));if(e){var n=e.element.menu;if(!n)return!1;var o=(t?Array.from(n.querySelectorAll(\"a:not([hidden]), .hs-dropdown > button:not([hidden])\")).reverse():Array.from(n.querySelectorAll(\"a:not([hidden]), .hs-dropdown > button:not([hidden])\"))).filter((function(t){return!t.classList.contains(\"disabled\")})),i=n.querySelector(\"a:focus, button:focus\"),r=o.findIndex((function(t){return t===i}));r+10?l.step:1,o.init(),o}return i(e,t),e.prototype.init=function(){this.createCollection(window.$hsInputNumberCollection,this),this.input&&this.increment&&this.build()},e.prototype.build=function(){this.input&&this.buildInput(),this.increment&&this.buildIncrement(),this.decrement&&this.buildDecrement(),this.inputValue<=0&&0===this.minInputValue&&(this.inputValue=0,this.input.value=\"0\"),(this.inputValue<=0||this.minInputValue<0)&&this.changeValue(),this.input.hasAttribute(\"disabled\")&&this.disableButtons()},e.prototype.buildInput=function(){var t=this;this.input.addEventListener(\"input\",(function(){return t.changeValue()}))},e.prototype.buildIncrement=function(){var t=this;this.increment.addEventListener(\"click\",(function(){t.changeValue(\"increment\")}))},e.prototype.buildDecrement=function(){var t=this;this.decrement.addEventListener(\"click\",(function(){t.changeValue(\"decrement\")}))},e.prototype.changeValue=function(t){var e,n;void 0===t&&(t=\"none\");var o={inputValue:this.inputValue},i=null!==(e=this.minInputValue)&&void 0!==e?e:Number.MIN_SAFE_INTEGER,r=null!==(n=this.maxInputValue)&&void 0!==n?n:Number.MAX_SAFE_INTEGER;switch(this.inputValue=isNaN(this.inputValue)?0:this.inputValue,t){case\"increment\":var s=this.inputValue+this.step;this.inputValue=s>=i&&s<=r?s:r,this.input.value=this.inputValue.toString();break;case\"decrement\":var a=this.inputValue-this.step;this.inputValue=a>=i&&a<=r?a:i,this.input.value=this.inputValue.toString();break;default:var c=isNaN(parseInt(this.input.value))?0:parseInt(this.input.value);this.inputValue=c>=r?r:c<=i?i:c,this.inputValue<=i&&(this.input.value=this.inputValue.toString())}o.inputValue=this.inputValue,this.inputValue===i?(this.el.classList.add(\"disabled\"),this.decrement&&this.disableButtons(\"decrement\")):(this.el.classList.remove(\"disabled\"),this.decrement&&this.enableButtons(\"decrement\")),this.inputValue===r?(this.el.classList.add(\"disabled\"),this.increment&&this.disableButtons(\"increment\")):(this.el.classList.remove(\"disabled\"),this.increment&&this.enableButtons(\"increment\")),this.fireEvent(\"change\",o),(0,l.dispatch)(\"change.hs.inputNumber\",this.el,o)},e.prototype.disableButtons=function(t){void 0===t&&(t=\"all\"),\"all\"===t?(\"BUTTON\"!==this.increment.tagName&&\"INPUT\"!==this.increment.tagName||this.increment.setAttribute(\"disabled\",\"disabled\"),\"BUTTON\"!==this.decrement.tagName&&\"INPUT\"!==this.decrement.tagName||this.decrement.setAttribute(\"disabled\",\"disabled\")):\"increment\"===t?\"BUTTON\"!==this.increment.tagName&&\"INPUT\"!==this.increment.tagName||this.increment.setAttribute(\"disabled\",\"disabled\"):\"decrement\"===t&&(\"BUTTON\"!==this.decrement.tagName&&\"INPUT\"!==this.decrement.tagName||this.decrement.setAttribute(\"disabled\",\"disabled\"))},e.prototype.enableButtons=function(t){void 0===t&&(t=\"all\"),\"all\"===t?(\"BUTTON\"!==this.increment.tagName&&\"INPUT\"!==this.increment.tagName||this.increment.removeAttribute(\"disabled\"),\"BUTTON\"!==this.decrement.tagName&&\"INPUT\"!==this.decrement.tagName||this.decrement.removeAttribute(\"disabled\")):\"increment\"===t?\"BUTTON\"!==this.increment.tagName&&\"INPUT\"!==this.increment.tagName||this.increment.removeAttribute(\"disabled\"):\"decrement\"===t&&(\"BUTTON\"!==this.decrement.tagName&&\"INPUT\"!==this.decrement.tagName||this.decrement.removeAttribute(\"disabled\"))},e.getInstance=function(t,e){var n=window.$hsInputNumberCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));return n?e?n:n.element:null},e.autoInit=function(){window.$hsInputNumberCollection||(window.$hsInputNumberCollection=[]),document.querySelectorAll(\"[data-hs-input-number]:not(.--prevent-on-load-init)\").forEach((function(t){window.$hsInputNumberCollection.find((function(e){var n;return(null===(n=null==e?void 0:e.element)||void 0===n?void 0:n.el)===t}))||new e(t)}))},e}(s(n(737)).default);window.addEventListener(\"load\",(function(){a.autoInit()})),\"undefined\"!=typeof window&&(window.HSInputNumber=a),e.default=a},770:function(t,e,n){\n/*\n * HSOverlay\n * @version: 2.1.0\n * @author: HTMLStream\n * @license: Licensed under MIT (https://preline.co/docs/license.html)\n * Copyright 2023 HTMLStream\n */\nvar o,i=this&&this.__extends||(o=function(t,e){return o=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n])},o(t,e)},function(t,e){if(\"function\"!=typeof e&&null!==e)throw new TypeError(\"Class extends value \"+String(e)+\" is not a constructor or null\");function n(){this.constructor=t}o(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)}),r=this&&this.__assign||function(){return r=Object.assign||function(t){for(var e,n=1,o=arguments.length;n=t?(document.body.classList.add(\"hs-overlay-body-open\"),e.element.overlay.classList.add(\"opened\")):e.element.close(!0)},e.accessibility=function(t){var e,n,o=window.$hsOverlayCollection.filter((function(t){return t.element.overlay.classList.contains(\"open\")})),i=o[o.length-1],r=null===(n=null===(e=null==i?void 0:i.element)||void 0===e?void 0:e.overlay)||void 0===n?void 0:n.querySelectorAll('button, [href], input, select, textarea, [tabindex]:not([tabindex=\"-1\"])'),s=[];(null==r?void 0:r.length)&&r.forEach((function(t){(0,l.isParentOrElementHidden)(t)||s.push(t)}));var a=i&&!t.metaKey;if(a&&!i.element.isTabAccessibilityLimited&&\"Tab\"===t.code)return!1;a&&s.length&&\"Tab\"===t.code&&(t.preventDefault(),this.onTab(i,s)),a&&\"Escape\"===t.code&&(t.preventDefault(),this.onEscape(i))},e.onEscape=function(t){t&&t.element.hasAbilityToCloseOnBackdropClick&&t.element.close()},e.onTab=function(t,e){if(!e.length)return!1;var n=t.element.overlay.querySelector(\":focus\"),o=Array.from(e).indexOf(n);o>-1?e[(o+1)%e.length].focus():e[0].focus()},e.on=function(t,e,n){var o=window.$hsOverlayCollection.find((function(t){return t.element.el===(\"string\"==typeof e?document.querySelector(e):e)||t.element.overlay===(\"string\"==typeof e?document.querySelector(e):e)}));o&&(o.element.events[t]=n)},e}(s(n(737)).default);window.addEventListener(\"load\",(function(){c.autoInit()})),window.addEventListener(\"resize\",(function(){!function(){if(!window.$hsOverlayCollection.length||!window.$hsOverlayCollection.find((function(t){return t.element.autoClose})))return!1;window.$hsOverlayCollection.filter((function(t){return t.element.autoClose})).forEach((function(t){document.body.clientWidth>=t.element.autoClose&&t.element.close(!0)}))}(),function(){if(!window.$hsOverlayCollection.length||!window.$hsOverlayCollection.find((function(t){return t.element.openedBreakpoint})))return!1;window.$hsOverlayCollection.filter((function(t){return t.element.openedBreakpoint})).forEach((function(t){c.setOpened(t.element.openedBreakpoint,t)}))}()})),\"undefined\"!=typeof window&&(window.HSOverlay=c),e.default=c},659:function(t,e,n){\n/*\n * HSPinInput\n * @version: 2.1.0\n * @author: HTMLStream\n * @license: Licensed under MIT (https://preline.co/docs/license.html)\n * Copyright 2023 HTMLStream\n */\nvar o,i=this&&this.__extends||(o=function(t,e){return o=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n])},o(t,e)},function(t,e){if(\"function\"!=typeof e&&null!==e)throw new TypeError(\"Class extends value \"+String(e)+\" is not a constructor or null\");function n(){this.constructor=t}o(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)}),r=this&&this.__assign||function(){return r=Object.assign||function(t){for(var e,n=1,o=arguments.length;n0&&this.items[e-1].focus()},e.prototype.onKeydown=function(t,e){\"Backspace\"===t.key&&e>0&&(\"\"===this.items[e].value?(this.items[e-1].value=\"\",this.items[e-1].focus()):this.items[e].value=\"\"),this.setCurrentValue(),this.toggleCompleted()},e.prototype.onFocusIn=function(t){this.items[t].setAttribute(\"placeholder\",\"\")},e.prototype.onFocusOut=function(t){this.items[t].setAttribute(\"placeholder\",this.placeholders[t])},e.prototype.onPaste=function(t){var e=this;t.preventDefault(),this.items.forEach((function(n){document.activeElement===n&&e.autoFillAll(t.clipboardData.getData(\"text\"))}))},e.getInstance=function(t,e){var n=window.$hsPinInputCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));return n?e?n:n.element:null},e.autoInit=function(){window.$hsPinInputCollection||(window.$hsPinInputCollection=[]),document.querySelectorAll(\"[data-hs-pin-input]:not(.--prevent-on-load-init)\").forEach((function(t){window.$hsPinInputCollection.find((function(e){var n;return(null===(n=null==e?void 0:e.element)||void 0===n?void 0:n.el)===t}))||new e(t)}))},e}(s(n(737)).default);window.addEventListener(\"load\",(function(){a.autoInit()})),\"undefined\"!=typeof window&&(window.HSPinInput=a),e.default=a},139:function(t,e,n){\n/*\n * HSRemoveElement\n * @version: 2.1.0\n * @author: HTMLStream\n * @license: Licensed under MIT (https://preline.co/docs/license.html)\n * Copyright 2023 HTMLStream\n */\nvar o,i=this&&this.__extends||(o=function(t,e){return o=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n])},o(t,e)},function(t,e){if(\"function\"!=typeof e&&null!==e)throw new TypeError(\"Class extends value \"+String(e)+\" is not a constructor or null\");function n(){this.constructor=t}o(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)}),r=this&&this.__assign||function(){return r=Object.assign||function(t){for(var e,n=1,o=arguments.length;n0){if(this.activeSection===e)return!1;this.links.forEach((function(t){t.classList.remove(\"active\")}));var a=this.el.querySelector('[href=\"#'.concat(e.getAttribute(\"id\"),'\"]'));if(a){a.classList.add(\"active\");var c=a.closest(\"[data-hs-scrollspy-group]\");if(c){var u=c.querySelector(\"[href]\");u&&u.classList.add(\"active\")}}this.activeSection=e}},e.prototype.scrollTo=function(t){var e=t.getAttribute(\"href\"),n=document.querySelector(e),o=parseInt((0,s.getClassProperty)(this.el,\"--scrollspy-offset\",\"0\")),i=parseInt((0,s.getClassProperty)(n,\"--scrollspy-offset\"))||o,r=this.scrollable===document?0:this.scrollable.offsetTop,l=n.offsetTop-i-r,a=this.scrollable===document?window:this.scrollable,c=function(){window.history.replaceState(null,null,t.getAttribute(\"href\")),\"scrollTo\"in a&&a.scrollTo({top:l,left:0,behavior:\"smooth\"})},u=this.fireEvent(\"beforeScroll\",this.el);(0,s.dispatch)(\"beforeScroll.hs.scrollspy\",this.el,this.el),u instanceof Promise?u.then((function(){return c()})):c()},e.getInstance=function(t,e){void 0===e&&(e=!1);var n=window.$hsScrollspyCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));return n?e?n:n.element.el:null},e.autoInit=function(){window.$hsScrollspyCollection||(window.$hsScrollspyCollection=[]),document.querySelectorAll(\"[data-hs-scrollspy]:not(.--prevent-on-load-init)\").forEach((function(t){window.$hsScrollspyCollection.find((function(e){var n;return(null===(n=null==e?void 0:e.element)||void 0===n?void 0:n.el)===t}))||new e(t)}))},e}(r(n(737)).default);window.addEventListener(\"load\",(function(){l.autoInit()})),\"undefined\"!=typeof window&&(window.HSScrollspy=l),e.default=l},961:function(t,e,n){\n/*\n * HSTogglePassword\n * @version: 2.1.0\n * @author: HTMLStream\n * @license: Licensed under MIT (https://preline.co/docs/license.html)\n * Copyright 2023 HTMLStream\n */\nvar o,i=this&&this.__extends||(o=function(t,e){return o=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n])},o(t,e)},function(t,e){if(\"function\"!=typeof e&&null!==e)throw new TypeError(\"Class extends value \"+String(e)+\" is not a constructor or null\");function n(){this.constructor=t}o(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)}),r=this&&this.__assign||function(){return r=Object.assign||function(t){for(var e,n=1,o=arguments.length;n0&&i[i.length-1])||6!==l[0]&&2!==l[0])){s=0;continue}if(3===l[0]&&(!i||l[1]>i[0]&&l[1]\",o.dropdownClasses=l.dropdownClasses||\"absolute top-full z-[1] w-full bg-white border border-gray-200 rounded-md hidden mt-2\",o.dropdownItemTemplate=l.dropdownItemTemplate||\"
\",o.dropdownItemTemplatesByType=l.dropdownItemTemplatesByType||null,o.dropdownItemClasses=l.dropdownItemClasses||\"py-2 px-4 w-full cursor-pointer text-sm hover:bg-gray-300 hover:text-black\",o.highlightedTextTagName=l.highlightedTextTagName||\"u\",o.highlightedTextClasses=l.highlightedTextClasses||\"bg-green-200\",o.jsonUrl&&o.fetchData().then((function(){return o.init()})),o}return i(e,t),e.prototype.init=function(){var t=this;this.createCollection(window.$hsSearchByJsonCollection,this),this.buildDropdown(),this.el.addEventListener(\"input\",(0,c.debounce)((function(e){t.val=e.target.value,t.val.length>t.minChars?t.searchData(t.val):t.result=[],t.result.length?t.dropdown.classList.remove(\"hidden\"):t.dropdown.classList.add(\"hidden\"),t.buildItems()})))},e.prototype.fetchData=function(){return s(this,void 0,void 0,(function(){var t=this;return l(this,(function(e){switch(e.label){case 0:return[4,fetch(this.jsonUrl).then((function(t){return t.json()})).then((function(e){return t.json=e}))];case 1:return e.sent(),[2]}}))}))},e.prototype.searchData=function(t){this.result=this.json.filter((function(e){var n=t.toLowerCase(),o=e.title.toLowerCase(),i=e.description.toLowerCase();return o.includes(n)||i.includes(n)}))},e.prototype.buildDropdown=function(){this.dropdown=(0,c.htmlToElement)(this.dropdownTemplate),this.dropdownClasses&&(0,c.classToClassList)(this.dropdownClasses,this.dropdown),this.el.after(this.dropdown)},e.prototype.buildItems=function(){var t=this;this.dropdown.innerHTML=\"\",this.result.forEach((function(e){var n=(0,c.htmlToElement)(''));n.append(t.itemTemplate(e)),t.dropdown.append(n)}))},e.prototype.itemTemplate=function(t){var e=new RegExp(this.val,\"gi\"),n=t.title.replace(e,\"<\".concat(this.highlightedTextTagName,' class=\"inline-block ').concat(this.highlightedTextClasses,'\">').concat(this.val,\"\")),o=t.description.replace(e,\"<\".concat(this.highlightedTextTagName,' class=\"inline-block ').concat(this.highlightedTextClasses,'\">').concat(this.val,\"\")),i=this.dropdownItemTemplatesByType?this.dropdownItemTemplatesByType.find((function(e){return e.type===t.type})):null,r=i?(0,c.htmlToElement)(i.markup):(0,c.htmlToElement)(this.dropdownItemTemplate);this.dropdownItemClasses&&(0,c.classToClassList)(this.dropdownItemClasses,r);var s=r.querySelector(\"[data-title]\");s?s.append((0,c.htmlToElement)(\"\".concat(n,\"\"))):r.append((0,c.htmlToElement)(\"\".concat(n,\"\")));var l=r.querySelector(\"[data-description]\");if(l)l.append((0,c.htmlToElement)(\"\".concat(o,\"\")));else if(!i){var a=(0,c.htmlToElement)(\"
\");r.append(a),r.append((0,c.htmlToElement)(\"\".concat(o,\"\")))}return r},e.getInstance=function(t){var e=window.$hsSearchByJsonCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));return e?e.element:null},e.autoInit=function(){window.$hsSearchByJsonCollection||(window.$hsSearchByJsonCollection=[]),document.querySelectorAll(\"[data-hs-search-by-json]:not(.--prevent-on-load-init)\").forEach((function(t){window.$hsSearchByJsonCollection.find((function(e){var n;return(null===(n=null==e?void 0:e.element)||void 0===n?void 0:n.el)===t}))||new e(t)}))},e}(a(n(737)).default);window.addEventListener(\"load\",(function(){u.autoInit()})),\"undefined\"!=typeof window&&(window.HSSearchByJson=u),e.default=u},233:function(t,e,n){\n/*\n * HSSelect\n * @version: 2.1.0\n * @author: HTMLStream\n * @license: Licensed under MIT (https://preline.co/docs/license.html)\n * Copyright 2023 HTMLStream\n */\nvar o,i=this&&this.__extends||(o=function(t,e){return o=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n])},o(t,e)},function(t,e){if(\"function\"!=typeof e&&null!==e)throw new TypeError(\"Class extends value \"+String(e)+\" is not a constructor or null\");function n(){this.constructor=t}o(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)}),r=this&&this.__assign||function(){return r=Object.assign||function(t){for(var e,n=1,o=arguments.length;n\"),e=this.toggle.querySelector(\"[data-icon]\"),n=this.toggle.querySelector(\"[data-title]\"),!this.isMultiple&&e&&this.setToggleIcon(),!this.isMultiple&&n&&this.setToggleTitle(),this.isMultiple?this.toggleTextWrapper.innerHTML=this.value.length?this.stringFromValue():this.placeholder:this.toggleTextWrapper.innerHTML=(null===(t=this.getItemByValue(this.value))||void 0===t?void 0:t.title)||this.placeholder,n||this.toggle.append(this.toggleTextWrapper),this.toggleClasses&&(0,a.classToClassList)(this.toggleClasses,this.toggle),this.isDisabled&&this.toggle.classList.add(\"disabled\"),this.wrapper&&this.wrapper.append(this.toggle),this.toggle.addEventListener(\"click\",(function(){if(o.isDisabled)return!1;o.isOpened?o.close():o.open()}))},e.prototype.setToggleIcon=function(){var t,e,n=this.toggle.querySelector(\"[data-icon]\");if(n.innerHTML=\"\",n){var o=(0,a.htmlToElement)((null===(e=null===(t=this.getItemByValue(this.value))||void 0===t?void 0:t.options)||void 0===e?void 0:e.icon)||\"\");n.append(o),o?n.classList.remove(\"hidden\"):n.classList.add(\"hidden\")}},e.prototype.setToggleTitle=function(){var t,e=this.toggle.querySelector(\"[data-title]\");if(e.classList.add(\"truncate\"),e.innerHTML=\"\",e){var n=(null===(t=this.getItemByValue(this.value))||void 0===t?void 0:t.title)||this.placeholder;e.innerHTML=n,this.toggle.append(e)}},e.prototype.buildTags=function(){this.buildTagsInput(),this.setTagsItems()},e.prototype.reassignTagsInputPlaceholder=function(t){this.tagsInput.placeholder=t,this.tagsInputHelper.innerHTML=t,this.calculateInputWidth()},e.prototype.buildTagsItem=function(t){var e,n,o,i,r,s,l,c=this,u=this.getItemByValue(t),d=document.createElement(\"div\");if(d.setAttribute(\"data-tag-value\",t),this.tagsItemClasses&&(0,a.classToClassList)(this.tagsItemClasses,d),this.tagsItemTemplate&&(i=(0,a.htmlToElement)(this.tagsItemTemplate),d.append(i)),null===(e=null==u?void 0:u.options)||void 0===e?void 0:e.icon){var p=(0,a.htmlToElement)(null===(n=null==u?void 0:u.options)||void 0===n?void 0:n.icon);(l=i?i.querySelector(\"[data-icon]\"):document.createElement(\"span\")).append(p),i||d.append(l)}i&&i.querySelector(\"[data-icon]\")&&!(null===(o=null==u?void 0:u.options)||void 0===o?void 0:o.icon)&&i.querySelector(\"[data-icon]\").classList.add(\"hidden\"),(r=i?i.querySelector(\"[data-title]\"):document.createElement(\"span\")).textContent=u.title||\"\",i||d.append(r),i?s=i.querySelector(\"[data-remove]\"):((s=document.createElement(\"span\")).textContent=\"X\",d.append(s)),s.addEventListener(\"click\",(function(){c.value=c.value.filter((function(e){return e!==t})),c.selectedItems=c.selectedItems.filter((function(e){return e!==t})),c.value.length||c.reassignTagsInputPlaceholder(c.placeholder),c.unselectMultipleItems(),c.selectMultipleItems(),d.remove()})),this.wrapper.append(d)},e.prototype.getItemByValue=function(t){return this.selectOptions.find((function(e){return e.val===t}))},e.prototype.setTagsItems=function(){var t=this;this.value&&this.value.forEach((function(e){t.selectedItems.includes(e)||t.buildTagsItem(e),t.selectedItems=t.selectedItems.includes(e)?t.selectedItems:s(s([],t.selectedItems,!0),[e],!1)}))},e.prototype.buildTagsInput=function(){var t=this;this.tagsInput=document.createElement(\"input\"),this.tagsInputClasses&&(0,a.classToClassList)(this.tagsInputClasses,this.tagsInput),this.tagsInput.addEventListener(\"focus\",(function(){return t.open()})),this.tagsInput.addEventListener(\"input\",(function(){return t.calculateInputWidth()})),this.tagsInput.addEventListener(\"input\",(0,a.debounce)((function(e){return t.searchOptions(e.target.value)}))),this.tagsInput.addEventListener(\"keydown\",(function(e){if(\"Enter\"===e.key&&t.isAddTagOnEnter){var n=e.target.value;if(t.selectOptions.find((function(t){return t.val===n})))return!1;t.addSelectOption(n,n),t.buildOption(n,n),t.dropdown.querySelector('[data-value=\"'.concat(n,'\"]')).click(),t.resetTagsInputField()}})),this.wrapper.append(this.tagsInput),setTimeout((function(){t.adjustInputWidth(),t.reassignTagsInputPlaceholder(t.value.length?\"\":t.placeholder)}))},e.prototype.buildDropdown=function(){var t=this;this.dropdown=(0,a.htmlToElement)(this.dropdownTag||\"
\"),this.dropdown.setAttribute(\"data-hs-select-dropdown\",\"\"),this.dropdown.classList.add(\"absolute\",\"top-full\"),this.isOpened||this.dropdown.classList.add(\"hidden\"),this.dropdownClasses&&(0,a.classToClassList)(this.dropdownClasses,this.dropdown),this.wrapper&&this.wrapper.append(this.dropdown),this.dropdown&&this.hasSearch&&this.buildSearch(),this.selectOptions&&this.selectOptions.forEach((function(e,n){return t.buildOption(e.title,e.val,e.options,\"\".concat(n))}))},e.prototype.buildSearch=function(){var t,e=this;this.searchWrapper=(0,a.htmlToElement)(this.searchWrapperTemplate||\"
\"),this.searchWrapperClasses&&(0,a.classToClassList)(this.searchWrapperClasses,this.searchWrapper),t=this.searchWrapper.querySelector(\"[data-input]\"),this.search=(0,a.htmlToElement)(''),this.search.placeholder=this.searchPlaceholder,this.searchClasses&&(0,a.classToClassList)(this.searchClasses,this.search),this.search.addEventListener(\"input\",(0,a.debounce)((function(t){return e.searchOptions(t.target.value)}))),t?t.append(this.search):this.searchWrapper.append(this.search),this.dropdown.append(this.searchWrapper)},e.prototype.buildOption=function(t,e,n,o){var i=this;void 0===o&&(o=\"1\");var r=null,s=(0,a.htmlToElement)(this.optionTag||\"
\");if(s.setAttribute(\"data-value\",e),s.setAttribute(\"data-title-value\",t),s.setAttribute(\"tabIndex\",o),s.classList.add(\"cursor-pointer\"),this.optionTemplate&&(r=(0,a.htmlToElement)(this.optionTemplate),s.append(r)),r?r.querySelector(\"[data-title]\").textContent=t||\"\":s.textContent=t||\"\",n){if(n.icon){var l=(0,a.htmlToElement)(n.icon);if(l.classList.add(\"mw-full\"),r)r.querySelector(\"[data-icon]\").append(l);else{var c=(0,a.htmlToElement)(\"
\");this.iconClasses&&(0,a.classToClassList)(this.iconClasses,c),c.append(l),s.append(c)}}if(n.description)if(r)r.querySelector(\"[data-description]\").append(n.description);else{var u=(0,a.htmlToElement)(\"
\");u.textContent=n.description,this.descriptionClasses&&(0,a.classToClassList)(this.descriptionClasses,u),s.append(u)}}r&&r.querySelector(\"[data-icon]\")&&!n&&!(null==n?void 0:n.icon)&&r.querySelector(\"[data-icon]\").classList.add(\"hidden\"),this.value&&(this.isMultiple?this.value.includes(e):this.value===e)&&s.classList.add(\"selected\"),s.addEventListener(\"click\",(function(){return i.onSelectOption(e)})),this.optionClasses&&(0,a.classToClassList)(this.optionClasses,s),this.dropdown&&this.dropdown.append(s)},e.prototype.destroyOption=function(t){var e=this.dropdown.querySelector('[data-value=\"'.concat(t,'\"]'));if(!e)return!1;e.remove()},e.prototype.buildOriginalOption=function(t,e,n){var o=(0,a.htmlToElement)(\"\");o.setAttribute(\"value\",e),o.setAttribute(\"data-hs-select-option\",JSON.stringify(n)),o.innerText=t,this.el.append(o)},e.prototype.destroyOriginalOption=function(t){var e=this.el.querySelector('[value=\"'.concat(t,'\"]'));if(!e)return!1;e.remove()},e.prototype.buildTagsInputHelper=function(){this.tagsInputHelper=document.createElement(\"span\"),this.tagsInputHelper.style.fontSize=window.getComputedStyle(this.tagsInput).fontSize,this.tagsInputHelper.style.fontFamily=window.getComputedStyle(this.tagsInput).fontFamily,this.tagsInputHelper.style.fontWeight=window.getComputedStyle(this.tagsInput).fontWeight,this.tagsInputHelper.style.letterSpacing=window.getComputedStyle(this.tagsInput).letterSpacing,this.tagsInputHelper.style.visibility=\"hidden\",this.tagsInputHelper.style.whiteSpace=\"pre\",this.tagsInputHelper.style.position=\"absolute\",this.wrapper.appendChild(this.tagsInputHelper)},e.prototype.calculateInputWidth=function(){this.tagsInputHelper.textContent=this.tagsInput.value||this.tagsInput.placeholder;var t=parseInt(window.getComputedStyle(this.tagsInput).paddingLeft)+parseInt(window.getComputedStyle(this.tagsInput).paddingRight),e=parseInt(window.getComputedStyle(this.tagsInput).borderLeftWidth)+parseInt(window.getComputedStyle(this.tagsInput).borderRightWidth),n=this.tagsInputHelper.offsetWidth+t+e,o=this.wrapper.offsetWidth-(parseInt(window.getComputedStyle(this.wrapper).paddingLeft)+parseInt(window.getComputedStyle(this.wrapper).paddingRight));this.tagsInput.style.width=\"\".concat(Math.min(n,o)+2,\"px\")},e.prototype.adjustInputWidth=function(){this.buildTagsInputHelper(),this.calculateInputWidth()},e.prototype.onSelectOption=function(t){var e=this;if(this.clearSelections(),this.isMultiple?(this.value=this.value.includes(t)?Array.from(this.value).filter((function(e){return e!==t})):s(s([],Array.from(this.value),!0),[t],!1),this.selectMultipleItems(),this.setNewValue()):(this.value=t,this.selectSingleItem(),this.setNewValue()),this.fireEvent(\"change\",this.value),(0,a.dispatch)(\"change.hs.select\",this.el,this.value),\"tags\"===this.mode){var n=this.selectedItems.filter((function(t){return!e.value.includes(t)}));n.length&&n.forEach((function(t){e.selectedItems=e.selectedItems.filter((function(e){return e!==t})),e.wrapper.querySelector('[data-tag-value=\"'.concat(t,'\"]')).remove()})),this.resetTagsInputField()}this.isMultiple||(this.toggle.querySelector(\"[data-icon]\")&&this.setToggleIcon(),this.toggle.querySelector(\"[data-title]\")&&this.setToggleTitle(),this.close()),this.value.length||\"tags\"!==this.mode||this.reassignTagsInputPlaceholder(this.placeholder),this.isOpened&&\"tags\"===this.mode&&this.tagsInput&&this.tagsInput.focus(),this.triggerChangeEventForNativeSelect()},e.prototype.triggerChangeEventForNativeSelect=function(){this.el.value=\"\".concat(this.value);var t=new Event(\"change\",{bubbles:!0});this.el.dispatchEvent(t)},e.prototype.addSelectOption=function(t,e,n){this.selectOptions=s(s([],this.selectOptions,!0),[{title:t,val:e,options:n}],!1)},e.prototype.removeSelectOption=function(t){if(!!!this.selectOptions.some((function(e){return e.val===t})))return!1;this.selectOptions=this.selectOptions.filter((function(e){return e.val!==t}))},e.prototype.resetTagsInputField=function(){this.tagsInput.value=\"\",this.reassignTagsInputPlaceholder(\"\"),this.searchOptions(\"\")},e.prototype.clearSelections=function(){Array.from(this.dropdown.children).forEach((function(t){t.classList.contains(\"selected\")&&t.classList.remove(\"selected\")})),Array.from(this.el.children).forEach((function(t){t.selected&&(t.selected=!1)}))},e.prototype.setNewValue=function(){\"tags\"===this.mode?this.setTagsItems():this.value.length?this.toggleTextWrapper.innerHTML=this.stringFromValue():this.toggleTextWrapper.innerHTML=this.placeholder},e.prototype.stringFromValue=function(){var t=this,e=[];return this.selectOptions.forEach((function(n){t.isMultiple?t.value.includes(n.val)&&e.push(n.title):t.value===n.val&&e.push(n.title)})),this.toggleCountText&&\"\"!==this.toggleCountText&&e.length>=this.toggleCountTextMinItems?\"\".concat(e.length,\" \").concat(this.toggleCountText):e.join(\", \")},e.prototype.selectSingleItem=function(){var t=this;Array.from(this.el.children).find((function(e){return t.value===e.value})).selected=!0,Array.from(this.dropdown.children).find((function(e){return t.value===e.getAttribute(\"data-value\")})).classList.add(\"selected\")},e.prototype.selectMultipleItems=function(){var t=this;Array.from(this.dropdown.children).filter((function(e){return t.value.includes(e.getAttribute(\"data-value\"))})).forEach((function(t){return t.classList.add(\"selected\")})),Array.from(this.el.children).filter((function(e){return t.value.includes(e.value)})).forEach((function(t){return t.selected=!0}))},e.prototype.unselectMultipleItems=function(){Array.from(this.dropdown.children).forEach((function(t){return t.classList.remove(\"selected\")})),Array.from(this.el.children).forEach((function(t){return t.selected=!1}))},e.prototype.searchOptions=function(t){this.searchNoResult&&(this.searchNoResult.remove(),this.searchNoResult=null),this.searchNoResult=(0,a.htmlToElement)(\"\"),this.searchNoResult.innerText=this.searchNoResultText,(0,a.classToClassList)(this.searchNoResultClasses,this.searchNoResult);var e=this.dropdown.querySelectorAll(\"[data-value]\"),n=!1;e.forEach((function(e){e.getAttribute(\"data-title-value\").toLocaleLowerCase().includes(t.toLocaleLowerCase())?(e.classList.remove(\"hidden\"),n=!0):e.classList.add(\"hidden\")})),n||this.dropdown.append(this.searchNoResult)},e.prototype.eraseToggleIcon=function(){var t=this.toggle.querySelector(\"[data-icon]\");t&&(t.innerHTML=null,t.classList.add(\"hidden\"))},e.prototype.eraseToggleTitle=function(){var t=this.toggle.querySelector(\"[data-title]\");t?t.innerHTML=this.placeholder:this.toggleTextWrapper.innerHTML=this.placeholder},e.prototype.destroy=function(){var t=this.el.parentElement.parentElement;this.el.classList.remove(\"hidden\"),this.el.style.display=\"\",t.prepend(this.el),t.querySelector(\".hs-select\").remove(),this.wrapper=null},e.prototype.open=function(){var t=this;if(this.animationInProcess)return!1;this.animationInProcess=!0,this.dropdown.classList.remove(\"hidden\"),this.recalculateDirection(),setTimeout((function(){t.wrapper.classList.add(\"active\"),t.dropdown.classList.add(\"opened\"),t.hasSearch&&!t.preventSearchFocus&&t.search.focus(),t.animationInProcess=!1})),this.isOpened=!0},e.prototype.close=function(){var t,e,n,o=this;if(this.animationInProcess)return!1;this.animationInProcess=!0,this.wrapper.classList.remove(\"active\"),this.dropdown.classList.remove(\"opened\",\"bottom-full\",\"top-full\"),(null===(t=this.dropdownDirectionClasses)||void 0===t?void 0:t.bottom)&&this.dropdown.classList.remove(this.dropdownDirectionClasses.bottom),(null===(e=this.dropdownDirectionClasses)||void 0===e?void 0:e.top)&&this.dropdown.classList.remove(this.dropdownDirectionClasses.top),this.dropdown.style.marginTop=\"\",this.dropdown.style.marginBottom=\"\",(0,a.afterTransition)(this.dropdown,(function(){o.dropdown.classList.add(\"hidden\"),o.hasSearch&&(o.search.value=\"\",o.search.dispatchEvent(new Event(\"input\",{bubbles:!0})),o.search.blur()),o.animationInProcess=!1})),null===(n=this.dropdown.querySelector(\".hs-select-option-highlighted\"))||void 0===n||n.classList.remove(\"hs-select-option-highlighted\"),this.isOpened=!1},e.prototype.addOption=function(t){var e=this,n=\"\".concat(this.selectOptions.length),o=function(t){var o=t.title,i=t.val,r=t.options;!!e.selectOptions.some((function(t){return t.val===i}))||(e.addSelectOption(o,i,r),e.buildOption(o,i,r,n),e.buildOriginalOption(o,i,r))};Array.isArray(t)?t.forEach((function(t){o(t)})):o(t)},e.prototype.removeOption=function(t){var e=this,n=function(t){!!e.selectOptions.some((function(e){return e.val===t}))&&(e.removeSelectOption(t),e.destroyOption(t),e.destroyOriginalOption(t),e.value===t&&(e.value=null,e.eraseToggleTitle(),e.eraseToggleIcon()))};Array.isArray(t)?t.forEach((function(t){n(t)})):n(t)},e.prototype.recalculateDirection=function(){var t,e,n,o;(0,a.isEnoughSpace)(this.dropdown,this.toggle||this.tagsInput,\"bottom\",this.dropdownSpace,this.viewport)?(this.dropdown.classList.remove(\"bottom-full\"),(null===(t=this.dropdownDirectionClasses)||void 0===t?void 0:t.bottom)&&this.dropdown.classList.remove(this.dropdownDirectionClasses.bottom),this.dropdown.style.marginBottom=\"\",this.dropdown.classList.add(\"top-full\"),(null===(e=this.dropdownDirectionClasses)||void 0===e?void 0:e.top)&&this.dropdown.classList.add(this.dropdownDirectionClasses.top),this.dropdown.style.marginTop=\"\".concat(this.dropdownSpace,\"px\")):(this.dropdown.classList.remove(\"top-full\"),(null===(n=this.dropdownDirectionClasses)||void 0===n?void 0:n.top)&&this.dropdown.classList.remove(this.dropdownDirectionClasses.top),this.dropdown.style.marginTop=\"\",this.dropdown.classList.add(\"bottom-full\"),(null===(o=this.dropdownDirectionClasses)||void 0===o?void 0:o.bottom)&&this.dropdown.classList.add(this.dropdownDirectionClasses.bottom),this.dropdown.style.marginBottom=\"\".concat(this.dropdownSpace,\"px\"))},e.getInstance=function(t,e){var n=window.$hsSelectCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));return n?e?n:n.element:null},e.autoInit=function(){window.$hsSelectCollection||(window.$hsSelectCollection=[]),document.querySelectorAll(\"[data-hs-select]:not(.--prevent-on-load-init)\").forEach((function(t){if(!window.$hsSelectCollection.find((function(e){var n;return(null===(n=null==e?void 0:e.element)||void 0===n?void 0:n.el)===t}))){var n=t.getAttribute(\"data-hs-select\"),o=n?JSON.parse(n):{};new e(t,o)}})),window.$hsSelectCollection&&(window.addEventListener(\"click\",(function(t){var n=t.target;e.closeCurrentlyOpened(n)})),document.addEventListener(\"keydown\",(function(t){return e.accessibility(t)})))},e.close=function(t){var e=window.$hsSelectCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));e&&e.element.isOpened&&e.element.close()},e.closeCurrentlyOpened=function(t){if(void 0===t&&(t=null),!t.closest(\".hs-select.active\")){var e=window.$hsSelectCollection.filter((function(t){return t.element.isOpened}))||null;e&&e.forEach((function(t){t.element.close()}))}},e.accessibility=function(t){if(window.$hsSelectCollection.find((function(t){return t.element.isOpened}))&&u.SELECT_ACCESSIBILITY_KEY_SET.includes(t.code)&&!t.metaKey)switch(t.code){case\"Escape\":t.preventDefault(),this.onEscape();break;case\"ArrowUp\":t.preventDefault(),this.onArrow();break;case\"ArrowDown\":t.preventDefault(),this.onArrow(!1);break;case\"Tab\":t.preventDefault(),this.onTab(t.shiftKey);break;case\"Home\":t.preventDefault(),this.onStartEnd();break;case\"End\":t.preventDefault(),this.onStartEnd(!1);break;case\"Enter\":t.preventDefault(),this.onEnter(t)}},e.onEscape=function(){var t=window.$hsSelectCollection.find((function(t){return t.element.isOpened}));t&&t.element.close()},e.onArrow=function(t){void 0===t&&(t=!0);var e=window.$hsSelectCollection.find((function(t){return t.element.isOpened}));if(e){var n=e.element.dropdown;if(!n)return!1;var o=(t?Array.from(n.querySelectorAll(\":scope > *:not(.hidden)\")).reverse():Array.from(n.querySelectorAll(\":scope > *:not(.hidden)\"))).filter((function(t){return!t.classList.contains(\"disabled\")})),i=n.querySelector(\".hs-select-option-highlighted\");i||o[0].classList.add(\"hs-select-option-highlighted\");var r=o.findIndex((function(t){return t===i}));r+1 *:not(.hidden)\")).reverse():Array.from(n.querySelectorAll(\":scope > *:not(.hidden)\"))).filter((function(t){return!t.classList.contains(\"disabled\")})),i=n.querySelector(\".hs-select-option-highlighted\");i||o[0].classList.add(\"hs-select-option-highlighted\");var r=o.findIndex((function(t){return t===i}));if(!(r+1 *:not(.hidden)\")):Array.from(n.querySelectorAll(\":scope > *:not(.hidden)\")).reverse()).filter((function(t){return!t.classList.contains(\"disabled\")})),i=n.querySelector(\".hs-select-option-highlighted\");o.length&&(o[0].focus(),i&&i.classList.remove(\"hs-select-option-highlighted\"),o[0].classList.add(\"hs-select-option-highlighted\"))}},e.onEnter=function(t){var e=t.target.previousSibling;if(window.$hsSelectCollection.find((function(t){return t.element.el===e}))){var n=window.$hsSelectCollection.find((function(t){return t.element.isOpened})),o=window.$hsSelectCollection.find((function(t){return t.element.el===e}));n.element.close(),o.element.open()}else{(o=window.$hsSelectCollection.find((function(t){return t.element.isOpened})))&&o.element.onSelectOption(t.target.dataset.value||\"\")}},e}(c.default);window.addEventListener(\"load\",(function(){d.autoInit()})),document.addEventListener(\"scroll\",(function(){if(!window.$hsSelectCollection)return!1;var t=window.$hsSelectCollection.find((function(t){return t.element.isOpened}));t&&t.element.recalculateDirection()})),\"undefined\"!=typeof window&&(window.HSSelect=d),e.default=d},957:function(t,e,n){\n/*\n * HSStepper\n * @version: 2.1.0\n * @author: HTMLStream\n * @license: Licensed under MIT (https://preline.co/docs/license.html)\n * Copyright 2023 HTMLStream\n */\nvar o,i=this&&this.__extends||(o=function(t,e){return o=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n])},o(t,e)},function(t,e){if(\"function\"!=typeof e&&null!==e)throw new TypeError(\"Class extends value \"+String(e)+\" is not a constructor or null\");function n(){this.constructor=t}o(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)}),r=this&&this.__assign||function(){return r=Object.assign||function(t){for(var e,n=1,o=arguments.length;nt.totalSteps&&(t.totalSteps=n)}))},e.prototype.buildNav=function(){var t=this;this.el.querySelectorAll(\"[data-hs-stepper-nav-item]\").forEach((function(e){return t.addNavItem(e)})),this.navItems.forEach((function(e){return t.buildNavItem(e)}))},e.prototype.buildNavItem=function(t){var e=this,n=t.index,o=t.isDisabled,i=t.el;n===this.currentIndex&&this.setCurrentNavItem(),(\"linear\"!==this.mode||o)&&i.addEventListener(\"click\",(function(){return e.handleNavItemClick(t)}))},e.prototype.addNavItem=function(t){var e=JSON.parse(t.getAttribute(\"data-hs-stepper-nav-item\")),n=e.index,o=e.isFinal,i=void 0!==o&&o,r=e.isCompleted,s=void 0!==r&&r,l=e.isSkip,a=void 0!==l&&l,c=e.isOptional,u=void 0!==c&&c,d=e.isDisabled,p=void 0!==d&&d,h=e.isProcessed,f=void 0!==h&&h,m=e.hasError,v=void 0!==m&&m;s&&t.classList.add(\"success\"),a&&t.classList.add(\"skipped\"),p&&(\"BUTTON\"!==t.tagName&&\"INPUT\"!==t.tagName||t.setAttribute(\"disabled\",\"disabled\"),t.classList.add(\"disabled\")),v&&t.classList.add(\"error\"),this.navItems.push({index:n,isFinal:i,isCompleted:s,isSkip:a,isOptional:u,isDisabled:p,isProcessed:f,hasError:v,el:t})},e.prototype.setCurrentNavItem=function(){var t=this;this.navItems.forEach((function(e){var n=e.index,o=e.el;n===t.currentIndex?t.setCurrentNavItemActions(o):t.unsetCurrentNavItemActions(o)}))},e.prototype.setCurrentNavItemActions=function(t){t.classList.add(\"active\"),this.fireEvent(\"active\",this.currentIndex),(0,l.dispatch)(\"active.hs.stepper\",this.el,this.currentIndex)},e.prototype.getNavItem=function(t){return void 0===t&&(t=this.currentIndex),this.navItems.find((function(e){return e.index===t}))},e.prototype.setProcessedNavItemActions=function(t){t.isProcessed=!0,t.el.classList.add(\"processed\")},e.prototype.setErrorNavItemActions=function(t){t.hasError=!0,t.el.classList.add(\"error\")},e.prototype.unsetCurrentNavItemActions=function(t){t.classList.remove(\"active\")},e.prototype.handleNavItemClick=function(t){var e=t.index;this.currentIndex=e,this.setCurrentNavItem(),this.setCurrentContentItem(),this.checkForTheFirstStep()},e.prototype.buildContent=function(){var t=this;this.el.querySelectorAll(\"[data-hs-stepper-content-item]\").forEach((function(e){return t.addContentItem(e)})),this.navItems.forEach((function(e){return t.buildContentItem(e)}))},e.prototype.buildContentItem=function(t){t.index===this.currentIndex&&this.setCurrentContentItem()},e.prototype.addContentItem=function(t){var e=JSON.parse(t.getAttribute(\"data-hs-stepper-content-item\")),n=e.index,o=e.isFinal,i=void 0!==o&&o,r=e.isCompleted,s=void 0!==r&&r,l=e.isSkip,a=void 0!==l&&l;s&&t.classList.add(\"success\"),a&&t.classList.add(\"skipped\"),this.contentItems.push({index:n,isFinal:i,isCompleted:s,isSkip:a,el:t})},e.prototype.setCurrentContentItem=function(){var t=this;if(this.isCompleted){var e=this.contentItems.find((function(t){return t.isFinal})),n=this.contentItems.filter((function(t){return!t.isFinal}));return e.el.style.display=\"\",n.forEach((function(t){return t.el.style.display=\"none\"})),!1}this.contentItems.forEach((function(e){var n=e.index,o=e.el;n===t.currentIndex?t.setCurrentContentItemActions(o):t.unsetCurrentContentItemActions(o)}))},e.prototype.hideAllContentItems=function(){this.contentItems.forEach((function(t){return t.el.style.display=\"none\"}))},e.prototype.setCurrentContentItemActions=function(t){t.style.display=\"\"},e.prototype.unsetCurrentContentItemActions=function(t){t.style.display=\"none\"},e.prototype.disableAll=function(){var t=this.getNavItem(this.currentIndex);t.hasError=!1,t.isCompleted=!1,t.isDisabled=!1,t.el.classList.remove(\"error\",\"success\"),this.disableButtons()},e.prototype.disableNavItemActions=function(t){t.isDisabled=!0,t.el.classList.add(\"disabled\")},e.prototype.enableNavItemActions=function(t){t.isDisabled=!1,t.el.classList.remove(\"disabled\")},e.prototype.buildButtons=function(){this.backBtn=this.el.querySelector(\"[data-hs-stepper-back-btn]\"),this.nextBtn=this.el.querySelector(\"[data-hs-stepper-next-btn]\"),this.skipBtn=this.el.querySelector(\"[data-hs-stepper-skip-btn]\"),this.completeStepBtn=this.el.querySelector(\"[data-hs-stepper-complete-step-btn]\"),this.finishBtn=this.el.querySelector(\"[data-hs-stepper-finish-btn]\"),this.resetBtn=this.el.querySelector(\"[data-hs-stepper-reset-btn]\"),this.buildBackButton(),this.buildNextButton(),this.buildSkipButton(),this.buildCompleteStepButton(),this.buildFinishButton(),this.buildResetButton()},e.prototype.buildBackButton=function(){var t=this;this.backBtn&&(this.checkForTheFirstStep(),this.backBtn.addEventListener(\"click\",(function(){if(t.handleBackButtonClick(),\"linear\"===t.mode){var e=t.navItems.find((function(e){return e.index===t.currentIndex})),n=t.contentItems.find((function(e){return e.index===t.currentIndex}));if(!e||!n)return;e.isCompleted&&(e.isCompleted=!1,e.isSkip=!1,e.el.classList.remove(\"success\",\"skipped\")),n.isCompleted&&(n.isCompleted=!1,n.isSkip=!1,n.el.classList.remove(\"success\",\"skipped\")),\"linear\"===t.mode&&t.currentIndex!==t.totalSteps&&(t.nextBtn&&(t.nextBtn.style.display=\"\"),t.completeStepBtn&&(t.completeStepBtn.style.display=\"\")),t.showSkipButton(),t.showFinishButton(),t.showCompleteStepButton()}})))},e.prototype.handleBackButtonClick=function(){1!==this.currentIndex&&(\"linear\"===this.mode&&this.removeOptionalClasses(),this.currentIndex--,\"linear\"===this.mode&&this.removeOptionalClasses(),this.setCurrentNavItem(),this.setCurrentContentItem(),this.checkForTheFirstStep(),this.completeStepBtn&&this.changeTextAndDisableCompleteButtonIfStepCompleted(),this.fireEvent(\"back\",this.currentIndex),(0,l.dispatch)(\"back.hs.stepper\",this.el,this.currentIndex))},e.prototype.checkForTheFirstStep=function(){1===this.currentIndex?this.setToDisabled(this.backBtn):this.setToNonDisabled(this.backBtn)},e.prototype.setToDisabled=function(t){\"BUTTON\"!==t.tagName&&\"INPUT\"!==t.tagName||t.setAttribute(\"disabled\",\"disabled\"),t.classList.add(\"disabled\")},e.prototype.setToNonDisabled=function(t){\"BUTTON\"!==t.tagName&&\"INPUT\"!==t.tagName||t.removeAttribute(\"disabled\"),t.classList.remove(\"disabled\")},e.prototype.buildNextButton=function(){var t=this;this.nextBtn&&this.nextBtn.addEventListener(\"click\",(function(){var e;if(t.fireEvent(\"beforeNext\",t.currentIndex),(0,l.dispatch)(\"beforeNext.hs.stepper\",t.el,t.currentIndex),null===(e=t.getNavItem(t.currentIndex))||void 0===e?void 0:e.isProcessed)return t.disableAll(),!1;t.goToNext()}))},e.prototype.unsetProcessedNavItemActions=function(t){t.isProcessed=!1,t.el.classList.remove(\"processed\")},e.prototype.handleNextButtonClick=function(t){if(void 0===t&&(t=!0),t)this.currentIndex===this.totalSteps?this.currentIndex=1:this.currentIndex++;else{var e=this.getUncompletedSteps();if(1===e.length){var n=e[0].index;this.currentIndex=n}else{if(this.currentIndex===this.totalSteps)return;this.currentIndex++}}\"linear\"===this.mode&&this.removeOptionalClasses(),this.setCurrentNavItem(),this.setCurrentContentItem(),this.checkForTheFirstStep(),this.completeStepBtn&&this.changeTextAndDisableCompleteButtonIfStepCompleted(),this.showSkipButton(),this.showFinishButton(),this.showCompleteStepButton(),this.fireEvent(\"next\",this.currentIndex),(0,l.dispatch)(\"next.hs.stepper\",this.el,this.currentIndex)},e.prototype.removeOptionalClasses=function(){var t=this,e=this.navItems.find((function(e){return e.index===t.currentIndex})),n=this.contentItems.find((function(e){return e.index===t.currentIndex}));e.isSkip=!1,e.hasError=!1,e.isDisabled=!1,n.isSkip=!1,e.el.classList.remove(\"skipped\",\"success\",\"error\"),n.el.classList.remove(\"skipped\",\"success\",\"error\")},e.prototype.buildSkipButton=function(){var t=this;this.skipBtn&&(this.showSkipButton(),this.skipBtn.addEventListener(\"click\",(function(){t.handleSkipButtonClick(),\"linear\"===t.mode&&t.currentIndex===t.totalSteps&&(t.nextBtn&&(t.nextBtn.style.display=\"none\"),t.completeStepBtn&&(t.completeStepBtn.style.display=\"none\"),t.finishBtn&&(t.finishBtn.style.display=\"\"))})))},e.prototype.setSkipItem=function(t){var e=this,n=this.navItems.find((function(n){return n.index===(t||e.currentIndex)})),o=this.contentItems.find((function(n){return n.index===(t||e.currentIndex)}));n&&o&&(this.setSkipItemActions(n),this.setSkipItemActions(o))},e.prototype.setSkipItemActions=function(t){t.isSkip=!0,t.el.classList.add(\"skipped\")},e.prototype.showSkipButton=function(){var t=this;if(this.skipBtn){var e=this.navItems.find((function(e){return e.index===t.currentIndex})).isOptional;this.skipBtn.style.display=e?\"\":\"none\"}},e.prototype.handleSkipButtonClick=function(){this.setSkipItem(),this.handleNextButtonClick(),this.fireEvent(\"skip\",this.currentIndex),(0,l.dispatch)(\"skip.hs.stepper\",this.el,this.currentIndex)},e.prototype.buildCompleteStepButton=function(){var t=this;this.completeStepBtn&&(this.completeStepBtnDefaultText=this.completeStepBtn.innerText,this.completeStepBtn.addEventListener(\"click\",(function(){return t.handleCompleteStepButtonClick()})))},e.prototype.changeTextAndDisableCompleteButtonIfStepCompleted=function(){var t=this,e=this.navItems.find((function(e){return e.index===t.currentIndex})),n=JSON.parse(this.completeStepBtn.getAttribute(\"data-hs-stepper-complete-step-btn\")).completedText;e&&(e.isCompleted?(this.completeStepBtn.innerText=n||this.completeStepBtnDefaultText,this.completeStepBtn.setAttribute(\"disabled\",\"disabled\"),this.completeStepBtn.classList.add(\"disabled\")):(this.completeStepBtn.innerText=this.completeStepBtnDefaultText,this.completeStepBtn.removeAttribute(\"disabled\"),this.completeStepBtn.classList.remove(\"disabled\")))},e.prototype.setCompleteItem=function(t){var e=this,n=this.navItems.find((function(n){return n.index===(t||e.currentIndex)})),o=this.contentItems.find((function(n){return n.index===(t||e.currentIndex)}));n&&o&&(this.setCompleteItemActions(n),this.setCompleteItemActions(o))},e.prototype.setCompleteItemActions=function(t){t.isCompleted=!0,t.el.classList.add(\"success\")},e.prototype.showCompleteStepButton=function(){this.completeStepBtn&&(1===this.getUncompletedSteps().length?this.completeStepBtn.style.display=\"none\":this.completeStepBtn.style.display=\"\")},e.prototype.handleCompleteStepButtonClick=function(){this.setCompleteItem(),this.fireEvent(\"complete\",this.currentIndex),(0,l.dispatch)(\"complete.hs.stepper\",this.el,this.currentIndex),this.handleNextButtonClick(!1),this.showFinishButton(),this.showCompleteStepButton(),this.checkForTheFirstStep(),this.completeStepBtn&&this.changeTextAndDisableCompleteButtonIfStepCompleted(),this.showSkipButton()},e.prototype.buildFinishButton=function(){var t=this;this.finishBtn&&(this.isCompleted&&this.setCompleted(),this.finishBtn.addEventListener(\"click\",(function(){return t.handleFinishButtonClick()})))},e.prototype.setCompleted=function(){this.el.classList.add(\"completed\")},e.prototype.unsetCompleted=function(){this.el.classList.remove(\"completed\")},e.prototype.showFinishButton=function(){this.finishBtn&&(1===this.getUncompletedSteps().length?this.finishBtn.style.display=\"\":this.finishBtn.style.display=\"none\")},e.prototype.handleFinishButtonClick=function(){var t=this,e=this.getUncompletedSteps(),n=this.getUncompletedSteps(!0),o=this.contentItems.find((function(t){return t.isFinal})).el;e.length&&e.forEach((function(e){var n=e.index;return t.setCompleteItem(n)})),this.currentIndex=this.totalSteps,this.setCurrentNavItem(),this.hideAllContentItems();var i=this.navItems.find((function(e){return e.index===t.currentIndex}));(i?i.el:null).classList.remove(\"active\"),o.style.display=\"block\",this.backBtn&&(this.backBtn.style.display=\"none\"),this.nextBtn&&(this.nextBtn.style.display=\"none\"),this.skipBtn&&(this.skipBtn.style.display=\"none\"),this.completeStepBtn&&(this.completeStepBtn.style.display=\"none\"),this.finishBtn&&(this.finishBtn.style.display=\"none\"),this.resetBtn&&(this.resetBtn.style.display=\"\"),n.length<=1&&(this.isCompleted=!0,this.setCompleted()),this.fireEvent(\"finish\",this.currentIndex),(0,l.dispatch)(\"finish.hs.stepper\",this.el,this.currentIndex)},e.prototype.buildResetButton=function(){var t=this;this.resetBtn&&this.resetBtn.addEventListener(\"click\",(function(){return t.handleResetButtonClick()}))},e.prototype.handleResetButtonClick=function(){var t=this;this.backBtn&&(this.backBtn.style.display=\"\"),this.nextBtn&&(this.nextBtn.style.display=\"\"),this.completeStepBtn&&(this.completeStepBtn.style.display=\"\",this.completeStepBtn.innerText=this.completeStepBtnDefaultText,this.completeStepBtn.removeAttribute(\"disabled\"),this.completeStepBtn.classList.remove(\"disabled\")),this.resetBtn&&(this.resetBtn.style.display=\"none\"),this.navItems.forEach((function(e){var n=e.el;e.isSkip=!1,e.isCompleted=!1,t.unsetCurrentNavItemActions(n),n.classList.remove(\"success\",\"skipped\")})),this.contentItems.forEach((function(e){var n=e.el;e.isSkip=!1,e.isCompleted=!1,t.unsetCurrentContentItemActions(n),n.classList.remove(\"success\",\"skipped\")})),this.currentIndex=1,this.setCurrentNavItem(),this.setCurrentContentItem(),this.showFinishButton(),this.showCompleteStepButton(),this.checkForTheFirstStep(),this.unsetCompleted(),this.isCompleted=!1,this.fireEvent(\"reset\",this.currentIndex),(0,l.dispatch)(\"reset.hs.stepper\",this.el,this.currentIndex)},e.prototype.setProcessedNavItem=function(t){var e=this.getNavItem(t);e&&this.setProcessedNavItemActions(e)},e.prototype.unsetProcessedNavItem=function(t){var e=this.getNavItem(t);e&&this.unsetProcessedNavItemActions(e)},e.prototype.goToNext=function(){\"linear\"===this.mode&&this.setCompleteItem(),this.handleNextButtonClick(\"linear\"!==this.mode),\"linear\"===this.mode&&this.currentIndex===this.totalSteps&&(this.nextBtn&&(this.nextBtn.style.display=\"none\"),this.completeStepBtn&&(this.completeStepBtn.style.display=\"none\"))},e.prototype.disableButtons=function(){this.backBtn&&this.setToDisabled(this.backBtn),this.nextBtn&&this.setToDisabled(this.nextBtn)},e.prototype.enableButtons=function(){this.backBtn&&this.setToNonDisabled(this.backBtn),this.nextBtn&&this.setToNonDisabled(this.nextBtn)},e.prototype.setErrorNavItem=function(t){var e=this.getNavItem(t);e&&this.setErrorNavItemActions(e)},e.getInstance=function(t,e){var n=window.$hsStepperCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));return n?e?n:n.element:null},e.autoInit=function(){window.$hsStepperCollection||(window.$hsStepperCollection=[]),document.querySelectorAll(\"[data-hs-stepper]:not(.--prevent-on-load-init)\").forEach((function(t){window.$hsStepperCollection.find((function(e){var n;return(null===(n=null==e?void 0:e.element)||void 0===n?void 0:n.el)===t}))||new e(t)}))},e}(s(n(737)).default);window.addEventListener(\"load\",(function(){a.autoInit()})),\"undefined\"!=typeof window&&(window.HSStepper=a),e.default=a},983:function(t,e,n){\n/*\n * HSStrongPassword\n * @version: 2.1.0\n * @author: HTMLStream\n * @license: Licensed under MIT (https://preline.co/docs/license.html)\n * Copyright 2023 HTMLStream\n */\nvar o,i=this&&this.__extends||(o=function(t,e){return o=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n])},o(t,e)},function(t,e){if(\"function\"!=typeof e&&null!==e)throw new TypeError(\"Class extends value \"+String(e)+\" is not a constructor or null\");function n(){this.constructor=t}o(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)}),r=this&&this.__assign||function(){return r=Object.assign||function(t){for(var e,n=1,o=arguments.length;n?@[\\\\\\\\\\\\]^_`{|}~\",o.target&&o.init(),o}return i(e,t),e.prototype.init=function(){this.createCollection(window.$hsStrongPasswordCollection,this),this.availableChecks.length&&this.build()},e.prototype.build=function(){var t=this;this.buildStrips(),this.hints&&this.buildHints(),this.setStrength(this.target.value),this.target.addEventListener(\"input\",(function(e){t.setStrength(e.target.value)}))},e.prototype.buildStrips=function(){if(this.el.innerHTML=\"\",this.stripClasses)for(var t=0;t\");(0,l.classToClassList)(this.stripClasses,e),this.el.append(e)}},e.prototype.buildHints=function(){var t=this;this.weakness=this.hints.querySelector(\"[data-hs-strong-password-hints-weakness-text]\")||null,this.rules=Array.from(this.hints.querySelectorAll(\"[data-hs-strong-password-hints-rule-text]\"))||null,this.rules.forEach((function(e){var n,o=e.getAttribute(\"data-hs-strong-password-hints-rule-text\");(null===(n=t.checksExclude)||void 0===n?void 0:n.includes(o))&&e.remove()})),this.weakness&&this.buildWeakness(),this.rules&&this.buildRules(),\"popover\"===this.mode&&(this.target.addEventListener(\"focus\",(function(){t.isOpened=!0,t.hints.classList.remove(\"hidden\"),t.hints.classList.add(\"block\"),t.recalculateDirection()})),this.target.addEventListener(\"blur\",(function(){t.isOpened=!1,t.hints.classList.remove(\"block\",\"bottom-full\",\"top-full\"),t.hints.classList.add(\"hidden\"),t.hints.style.marginTop=\"\",t.hints.style.marginBottom=\"\"})))},e.prototype.buildWeakness=function(){var t=this;this.checkStrength(this.target.value),this.setWeaknessText(),this.target.addEventListener(\"input\",(function(){return setTimeout((function(){return t.setWeaknessText()}))}))},e.prototype.buildRules=function(){var t=this;this.setRulesText(),this.target.addEventListener(\"input\",(function(){return setTimeout((function(){return t.setRulesText()}))}))},e.prototype.setWeaknessText=function(){var t=this.weakness.getAttribute(\"data-hs-strong-password-hints-weakness-text\"),e=JSON.parse(t);this.weakness.textContent=e[this.strength]},e.prototype.setRulesText=function(){var t=this;this.rules.forEach((function(e){var n=e.getAttribute(\"data-hs-strong-password-hints-rule-text\");t.checkIfPassed(e,t.passedRules.has(n))}))},e.prototype.togglePopover=function(){var t=this.el.querySelector(\".popover\");t&&t.classList.toggle(\"show\")},e.prototype.checkStrength=function(t){var e=new Set,n={lowercase:/[a-z]+/,uppercase:/[A-Z]+/,numbers:/[0-9]+/,\"special-characters\":new RegExp(\"[\".concat(this.specialCharactersSet,\"]\"))},o=0;return this.availableChecks.includes(\"lowercase\")&&t.match(n.lowercase)&&(o+=1,e.add(\"lowercase\")),this.availableChecks.includes(\"uppercase\")&&t.match(n.uppercase)&&(o+=1,e.add(\"uppercase\")),this.availableChecks.includes(\"numbers\")&&t.match(n.numbers)&&(o+=1,e.add(\"numbers\")),this.availableChecks.includes(\"special-characters\")&&t.match(n[\"special-characters\"])&&(o+=1,e.add(\"special-characters\")),this.availableChecks.includes(\"min-length\")&&t.length>=this.minLength&&(o+=1,e.add(\"min-length\")),t.length||(o=0),o===this.availableChecks.length?this.el.classList.add(\"accepted\"):this.el.classList.remove(\"accepted\"),this.strength=o,this.passedRules=e,{strength:this.strength,rules:this.passedRules}},e.prototype.checkIfPassed=function(t,e){void 0===e&&(e=!1);var n=t.querySelector(\"[data-check]\"),o=t.querySelector(\"[data-uncheck]\");e?(t.classList.add(\"active\"),n.classList.remove(\"hidden\"),o.classList.add(\"hidden\")):(t.classList.remove(\"active\"),n.classList.add(\"hidden\"),o.classList.remove(\"hidden\"))},e.prototype.setStrength=function(t){var e=this.checkStrength(t),n=e.strength,o={strength:n,rules:e.rules};this.hideStrips(n),this.fireEvent(\"change\",o),(0,l.dispatch)(\"change.hs.strongPassword\",this.el,o)},e.prototype.hideStrips=function(t){Array.from(this.el.children).forEach((function(e,n){n1&&!!o.el.closest(\"[data-hs-toggle-password-group]\"),o.target&&o.init(),o}return i(e,t),e.prototype.init=function(){var t=this;this.createCollection(window.$hsTogglePasswordCollection,this),this.isShown?this.show():this.hide(),this.el.addEventListener(this.eventType,(function(){t.isShown?t.hide():t.show(),t.fireEvent(\"toggle\",t.target),(0,l.dispatch)(\"toggle.hs.toggle-select\",t.el,t.target)}))},e.prototype.getMultipleToggles=function(){var t=this.el.closest(\"[data-hs-toggle-password-group]\").querySelectorAll(\"[data-hs-toggle-password]\"),n=[];return t.forEach((function(t){n.push(e.getInstance(t))})),n},e.prototype.show=function(){this.isMultiple?(this.getMultipleToggles().forEach((function(t){return!!t&&(t.isShown=!0)})),this.el.closest(\"[data-hs-toggle-password-group]\").classList.add(\"active\")):(this.isShown=!0,this.el.classList.add(\"active\"));this.target.forEach((function(t){t.type=\"text\"}))},e.prototype.hide=function(){this.isMultiple?(this.getMultipleToggles().forEach((function(t){return!!t&&(t.isShown=!1)})),this.el.closest(\"[data-hs-toggle-password-group]\").classList.remove(\"active\")):(this.isShown=!1,this.el.classList.remove(\"active\"));this.target.forEach((function(t){t.type=\"password\"}))},e.getInstance=function(t,e){var n=window.$hsTogglePasswordCollection.find((function(e){return e.element.el===(\"string\"==typeof t?document.querySelector(t):t)}));return n?e?n:n.element:null},e.autoInit=function(){window.$hsTogglePasswordCollection||(window.$hsTogglePasswordCollection=[]),document.querySelectorAll(\"[data-hs-toggle-password]:not(.--prevent-on-load-init)\").forEach((function(t){window.$hsTogglePasswordCollection.find((function(e){var n;return(null===(n=null==e?void 0:e.element)||void 0===n?void 0:n.el)===t}))||new e(t)}))},e}(s(n(737)).default);window.addEventListener(\"load\",(function(){a.autoInit()})),\"undefined\"!=typeof window&&(window.HSTogglePassword=a),e.default=a},679:function(t,e,n){\n/*\n * HSTooltip\n * @version: 2.1.0\n * @author: HTMLStream\n * @license: Licensed under MIT (https://preline.co/docs/license.html)\n * Copyright 2023 HTMLStream\n */\nvar o,i=this&&this.__extends||(o=function(t,e){return o=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n])},o(t,e)},function(t,e){if(\"function\"!=typeof e&&null!==e)throw new TypeError(\"Class extends value \"+String(e)+\" is not a constructor or null\");function n(){this.constructor=t}o(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)}),r=this&&this.__assign||function(){return r=Object.assign||function(t){for(var e,n=1,o=arguments.length;n{\n/*\n * HSStaticMethods\n * @version: 2.1.0\n * @author: HTMLStream\n * @license: Licensed under MIT (https://preline.co/docs/license.html)\n * Copyright 2023 HTMLStream\n */\nObject.defineProperty(e,\"__esModule\",{value:!0});var o=n(969),i=n(362),r={getClassProperty:o.getClassProperty,afterTransition:o.afterTransition,autoInit:function(t){void 0===t&&(t=\"all\"),\"all\"===t?i.COLLECTIONS.forEach((function(t){var e=t.fn;null==e||e.autoInit()})):i.COLLECTIONS.forEach((function(e){var n=e.key,o=e.fn;t.includes(n)&&(null==o||o.autoInit())}))}};\"undefined\"!=typeof window&&(window.HSStaticMethods=r),e.default=r},969:function(t,e){var n=this;Object.defineProperty(e,\"__esModule\",{value:!0}),e.menuSearchHistory=e.classToClassList=e.htmlToElement=e.afterTransition=e.dispatch=e.debounce=e.isFormElement=e.isParentOrElementHidden=e.isEnoughSpace=e.isIpadOS=e.isIOS=e.getClassPropertyAlt=e.getClassProperty=e.stringToBoolean=void 0;e.stringToBoolean=function(t){return\"true\"===t};e.getClassProperty=function(t,e,n){return void 0===n&&(n=\"\"),(window.getComputedStyle(t).getPropertyValue(e)||n).replace(\" \",\"\")};e.getClassPropertyAlt=function(t,e,n){void 0===n&&(n=\"\");var o=\"\";return t.classList.forEach((function(t){t.includes(e)&&(o=t)})),o.match(/:(.*)]/)?o.match(/:(.*)]/)[1]:n};e.isIOS=function(){return!!/iPad|iPhone|iPod/.test(navigator.platform)||navigator.maxTouchPoints&&navigator.maxTouchPoints>2&&/MacIntel/.test(navigator.platform)};e.isIpadOS=function(){return navigator.maxTouchPoints&&navigator.maxTouchPoints>2&&/MacIntel/.test(navigator.platform)};e.isEnoughSpace=function(t,e,n,o,i){void 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e)n.o(e,o)&&!n.o(t,o)&&Object.defineProperty(t,o,{enumerable:!0,get:e[o]})},n.o=(t,e)=>Object.prototype.hasOwnProperty.call(t,e),n.r=t=>{\"undefined\"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(t,Symbol.toStringTag,{value:\"Module\"}),Object.defineProperty(t,\"__esModule\",{value:!0})},n(700)})()));","'use strict';\n\nvar replace = String.prototype.replace;\nvar percentTwenties = /%20/g;\n\nvar Format = {\n RFC1738: 'RFC1738',\n RFC3986: 'RFC3986'\n};\n\nmodule.exports = {\n 'default': Format.RFC3986,\n formatters: {\n RFC1738: function (value) {\n return replace.call(value, percentTwenties, '+');\n },\n RFC3986: function (value) {\n return String(value);\n }\n },\n RFC1738: Format.RFC1738,\n RFC3986: Format.RFC3986\n};\n","'use strict';\n\nvar stringify = require('./stringify');\nvar parse = require('./parse');\nvar formats = require('./formats');\n\nmodule.exports = {\n formats: formats,\n parse: parse,\n stringify: stringify\n};\n","'use strict';\n\nvar utils = require('./utils');\n\nvar has = Object.prototype.hasOwnProperty;\nvar isArray = Array.isArray;\n\nvar defaults = {\n allowDots: false,\n allowPrototypes: false,\n allowSparse: false,\n arrayLimit: 20,\n charset: 'utf-8',\n charsetSentinel: false,\n comma: false,\n decoder: utils.decode,\n delimiter: '&',\n depth: 5,\n ignoreQueryPrefix: false,\n interpretNumericEntities: false,\n parameterLimit: 1000,\n parseArrays: true,\n plainObjects: false,\n strictNullHandling: false\n};\n\nvar interpretNumericEntities = function (str) {\n return str.replace(/&#(\\d+);/g, function ($0, numberStr) {\n return String.fromCharCode(parseInt(numberStr, 10));\n });\n};\n\nvar parseArrayValue = function (val, options) {\n if (val && typeof val === 'string' && options.comma && val.indexOf(',') > -1) {\n return val.split(',');\n }\n\n return val;\n};\n\n// This is what browsers will submit when the ✓ character occurs in an\n// application/x-www-form-urlencoded body and the encoding of the page containing\n// the form is iso-8859-1, or when the submitted form has an accept-charset\n// attribute of iso-8859-1. Presumably also with other charsets that do not contain\n// the ✓ character, such as us-ascii.\nvar isoSentinel = 'utf8=%26%2310003%3B'; // encodeURIComponent('✓')\n\n// These are the percent-encoded utf-8 octets representing a checkmark, indicating that the request actually is utf-8 encoded.\nvar charsetSentinel = 'utf8=%E2%9C%93'; // encodeURIComponent('✓')\n\nvar parseValues = function parseQueryStringValues(str, options) {\n var obj = { __proto__: null };\n\n var cleanStr = options.ignoreQueryPrefix ? str.replace(/^\\?/, '') : str;\n var limit = options.parameterLimit === Infinity ? undefined : options.parameterLimit;\n var parts = cleanStr.split(options.delimiter, limit);\n var skipIndex = -1; // Keep track of where the utf8 sentinel was found\n var i;\n\n var charset = options.charset;\n if (options.charsetSentinel) {\n for (i = 0; i < parts.length; ++i) {\n if (parts[i].indexOf('utf8=') === 0) {\n if (parts[i] === charsetSentinel) {\n charset = 'utf-8';\n } else if (parts[i] === isoSentinel) {\n charset = 'iso-8859-1';\n }\n skipIndex = i;\n i = parts.length; // The eslint settings do not allow break;\n }\n }\n }\n\n for (i = 0; i < parts.length; ++i) {\n if (i === skipIndex) {\n continue;\n }\n var part = parts[i];\n\n var bracketEqualsPos = part.indexOf(']=');\n var pos = bracketEqualsPos === -1 ? part.indexOf('=') : bracketEqualsPos + 1;\n\n var key, val;\n if (pos === -1) {\n key = options.decoder(part, defaults.decoder, charset, 'key');\n val = options.strictNullHandling ? null : '';\n } else {\n key = options.decoder(part.slice(0, pos), defaults.decoder, charset, 'key');\n val = utils.maybeMap(\n parseArrayValue(part.slice(pos + 1), options),\n function (encodedVal) {\n return options.decoder(encodedVal, defaults.decoder, charset, 'value');\n }\n );\n }\n\n if (val && options.interpretNumericEntities && charset === 'iso-8859-1') {\n val = interpretNumericEntities(val);\n }\n\n if (part.indexOf('[]=') > -1) {\n val = isArray(val) ? [val] : val;\n }\n\n if (has.call(obj, key)) {\n obj[key] = utils.combine(obj[key], val);\n } else {\n obj[key] = val;\n }\n }\n\n return obj;\n};\n\nvar parseObject = function (chain, val, options, valuesParsed) {\n var leaf = valuesParsed ? val : parseArrayValue(val, options);\n\n for (var i = chain.length - 1; i >= 0; --i) {\n var obj;\n var root = chain[i];\n\n if (root === '[]' && options.parseArrays) {\n obj = [].concat(leaf);\n } else {\n obj = options.plainObjects ? Object.create(null) : {};\n var cleanRoot = root.charAt(0) === '[' && root.charAt(root.length - 1) === ']' ? root.slice(1, -1) : root;\n var index = parseInt(cleanRoot, 10);\n if (!options.parseArrays && cleanRoot === '') {\n obj = { 0: leaf };\n } else if (\n !isNaN(index)\n && root !== cleanRoot\n && String(index) === cleanRoot\n && index >= 0\n && (options.parseArrays && index <= options.arrayLimit)\n ) {\n obj = [];\n obj[index] = leaf;\n } else if (cleanRoot !== '__proto__') {\n obj[cleanRoot] = leaf;\n }\n }\n\n leaf = obj;\n }\n\n return leaf;\n};\n\nvar parseKeys = function parseQueryStringKeys(givenKey, val, options, valuesParsed) {\n if (!givenKey) {\n return;\n }\n\n // Transform dot notation to bracket notation\n var key = options.allowDots ? givenKey.replace(/\\.([^.[]+)/g, '[$1]') : givenKey;\n\n // The regex chunks\n\n var brackets = /(\\[[^[\\]]*])/;\n var child = /(\\[[^[\\]]*])/g;\n\n // Get the parent\n\n var segment = options.depth > 0 && brackets.exec(key);\n var parent = segment ? key.slice(0, segment.index) : key;\n\n // Stash the parent if it exists\n\n var keys = [];\n if (parent) {\n // If we aren't using plain objects, optionally prefix keys that would overwrite object prototype properties\n if (!options.plainObjects && has.call(Object.prototype, parent)) {\n if (!options.allowPrototypes) {\n return;\n }\n }\n\n keys.push(parent);\n }\n\n // Loop through children appending to the array until we hit depth\n\n var i = 0;\n while (options.depth > 0 && (segment = child.exec(key)) !== null && i < options.depth) {\n i += 1;\n if (!options.plainObjects && has.call(Object.prototype, segment[1].slice(1, -1))) {\n if (!options.allowPrototypes) {\n return;\n }\n }\n keys.push(segment[1]);\n }\n\n // If there's a remainder, just add whatever is left\n\n if (segment) {\n keys.push('[' + key.slice(segment.index) + ']');\n }\n\n return parseObject(keys, val, options, valuesParsed);\n};\n\nvar normalizeParseOptions = function normalizeParseOptions(opts) {\n if (!opts) {\n return defaults;\n }\n\n if (opts.decoder !== null && opts.decoder !== undefined && typeof opts.decoder !== 'function') {\n throw new TypeError('Decoder has to be a function.');\n }\n\n if (typeof opts.charset !== 'undefined' && opts.charset !== 'utf-8' && opts.charset !== 'iso-8859-1') {\n throw new TypeError('The charset option must be either utf-8, iso-8859-1, or undefined');\n }\n var charset = typeof opts.charset === 'undefined' ? defaults.charset : opts.charset;\n\n return {\n allowDots: typeof opts.allowDots === 'undefined' ? defaults.allowDots : !!opts.allowDots,\n allowPrototypes: typeof opts.allowPrototypes === 'boolean' ? opts.allowPrototypes : defaults.allowPrototypes,\n allowSparse: typeof opts.allowSparse === 'boolean' ? opts.allowSparse : defaults.allowSparse,\n arrayLimit: typeof opts.arrayLimit === 'number' ? opts.arrayLimit : defaults.arrayLimit,\n charset: charset,\n charsetSentinel: typeof opts.charsetSentinel === 'boolean' ? opts.charsetSentinel : defaults.charsetSentinel,\n comma: typeof opts.comma === 'boolean' ? opts.comma : defaults.comma,\n decoder: typeof opts.decoder === 'function' ? opts.decoder : defaults.decoder,\n delimiter: typeof opts.delimiter === 'string' || utils.isRegExp(opts.delimiter) ? opts.delimiter : defaults.delimiter,\n // eslint-disable-next-line no-implicit-coercion, no-extra-parens\n depth: (typeof opts.depth === 'number' || opts.depth === false) ? +opts.depth : defaults.depth,\n ignoreQueryPrefix: opts.ignoreQueryPrefix === true,\n interpretNumericEntities: typeof opts.interpretNumericEntities === 'boolean' ? opts.interpretNumericEntities : defaults.interpretNumericEntities,\n parameterLimit: typeof opts.parameterLimit === 'number' ? opts.parameterLimit : defaults.parameterLimit,\n parseArrays: opts.parseArrays !== false,\n plainObjects: typeof opts.plainObjects === 'boolean' ? opts.plainObjects : defaults.plainObjects,\n strictNullHandling: typeof opts.strictNullHandling === 'boolean' ? opts.strictNullHandling : defaults.strictNullHandling\n };\n};\n\nmodule.exports = function (str, opts) {\n var options = normalizeParseOptions(opts);\n\n if (str === '' || str === null || typeof str === 'undefined') {\n return options.plainObjects ? Object.create(null) : {};\n }\n\n var tempObj = typeof str === 'string' ? parseValues(str, options) : str;\n var obj = options.plainObjects ? Object.create(null) : {};\n\n // Iterate over the keys and setup the new object\n\n var keys = Object.keys(tempObj);\n for (var i = 0; i < keys.length; ++i) {\n var key = keys[i];\n var newObj = parseKeys(key, tempObj[key], options, typeof str === 'string');\n obj = utils.merge(obj, newObj, options);\n }\n\n if (options.allowSparse === true) {\n return obj;\n }\n\n return utils.compact(obj);\n};\n","'use strict';\n\nvar getSideChannel = require('side-channel');\nvar utils = require('./utils');\nvar formats = require('./formats');\nvar has = Object.prototype.hasOwnProperty;\n\nvar arrayPrefixGenerators = {\n brackets: function brackets(prefix) {\n return prefix + '[]';\n },\n comma: 'comma',\n indices: function indices(prefix, key) {\n return prefix + '[' + key + ']';\n },\n repeat: function repeat(prefix) {\n return prefix;\n }\n};\n\nvar isArray = Array.isArray;\nvar push = Array.prototype.push;\nvar pushToArray = function (arr, valueOrArray) {\n push.apply(arr, isArray(valueOrArray) ? valueOrArray : [valueOrArray]);\n};\n\nvar toISO = Date.prototype.toISOString;\n\nvar defaultFormat = formats['default'];\nvar defaults = {\n addQueryPrefix: false,\n allowDots: false,\n charset: 'utf-8',\n charsetSentinel: false,\n delimiter: '&',\n encode: true,\n encoder: utils.encode,\n encodeValuesOnly: false,\n format: defaultFormat,\n formatter: formats.formatters[defaultFormat],\n // deprecated\n indices: false,\n serializeDate: function serializeDate(date) {\n return toISO.call(date);\n },\n skipNulls: false,\n strictNullHandling: false\n};\n\nvar isNonNullishPrimitive = function isNonNullishPrimitive(v) {\n return typeof v === 'string'\n || typeof v === 'number'\n || typeof v === 'boolean'\n || typeof v === 'symbol'\n || typeof v === 'bigint';\n};\n\nvar sentinel = {};\n\nvar stringify = function stringify(\n object,\n prefix,\n generateArrayPrefix,\n commaRoundTrip,\n strictNullHandling,\n skipNulls,\n encoder,\n filter,\n sort,\n allowDots,\n serializeDate,\n format,\n formatter,\n encodeValuesOnly,\n charset,\n sideChannel\n) {\n var obj = object;\n\n var tmpSc = sideChannel;\n var step = 0;\n var findFlag = false;\n while ((tmpSc = tmpSc.get(sentinel)) !== void undefined && !findFlag) {\n // Where object last appeared in the ref tree\n var pos = tmpSc.get(object);\n step += 1;\n if (typeof pos !== 'undefined') {\n if (pos === step) {\n throw new RangeError('Cyclic object value');\n } else {\n findFlag = true; // Break while\n }\n }\n if (typeof tmpSc.get(sentinel) === 'undefined') {\n step = 0;\n }\n }\n\n if (typeof filter === 'function') {\n obj = filter(prefix, obj);\n } else if (obj instanceof Date) {\n obj = serializeDate(obj);\n } else if (generateArrayPrefix === 'comma' && isArray(obj)) {\n obj = utils.maybeMap(obj, function (value) {\n if (value instanceof Date) {\n return serializeDate(value);\n }\n return value;\n });\n }\n\n if (obj === null) {\n if (strictNullHandling) {\n return encoder && !encodeValuesOnly ? encoder(prefix, defaults.encoder, charset, 'key', format) : prefix;\n }\n\n obj = '';\n }\n\n if (isNonNullishPrimitive(obj) || utils.isBuffer(obj)) {\n if (encoder) {\n var keyValue = encodeValuesOnly ? prefix : encoder(prefix, defaults.encoder, charset, 'key', format);\n return [formatter(keyValue) + '=' + formatter(encoder(obj, defaults.encoder, charset, 'value', format))];\n }\n return [formatter(prefix) + '=' + formatter(String(obj))];\n }\n\n var values = [];\n\n if (typeof obj === 'undefined') {\n return values;\n }\n\n var objKeys;\n if (generateArrayPrefix === 'comma' && isArray(obj)) {\n // we need to join elements in\n if (encodeValuesOnly && encoder) {\n obj = utils.maybeMap(obj, encoder);\n }\n objKeys = [{ value: obj.length > 0 ? obj.join(',') || null : void undefined }];\n } else if (isArray(filter)) {\n objKeys = filter;\n } else {\n var keys = Object.keys(obj);\n objKeys = sort ? keys.sort(sort) : keys;\n }\n\n var adjustedPrefix = commaRoundTrip && isArray(obj) && obj.length === 1 ? prefix + '[]' : prefix;\n\n for (var j = 0; j < objKeys.length; ++j) {\n var key = objKeys[j];\n var value = typeof key === 'object' && typeof key.value !== 'undefined' ? key.value : obj[key];\n\n if (skipNulls && value === null) {\n continue;\n }\n\n var keyPrefix = isArray(obj)\n ? typeof generateArrayPrefix === 'function' ? generateArrayPrefix(adjustedPrefix, key) : adjustedPrefix\n : adjustedPrefix + (allowDots ? '.' + key : '[' + key + ']');\n\n sideChannel.set(object, step);\n var valueSideChannel = getSideChannel();\n valueSideChannel.set(sentinel, sideChannel);\n pushToArray(values, stringify(\n value,\n keyPrefix,\n generateArrayPrefix,\n commaRoundTrip,\n strictNullHandling,\n skipNulls,\n generateArrayPrefix === 'comma' && encodeValuesOnly && isArray(obj) ? null : encoder,\n filter,\n sort,\n allowDots,\n serializeDate,\n format,\n formatter,\n encodeValuesOnly,\n charset,\n valueSideChannel\n ));\n }\n\n return values;\n};\n\nvar normalizeStringifyOptions = function normalizeStringifyOptions(opts) {\n if (!opts) {\n return defaults;\n }\n\n if (opts.encoder !== null && typeof opts.encoder !== 'undefined' && typeof opts.encoder !== 'function') {\n throw new TypeError('Encoder has to be a function.');\n }\n\n var charset = opts.charset || defaults.charset;\n if (typeof opts.charset !== 'undefined' && opts.charset !== 'utf-8' && opts.charset !== 'iso-8859-1') {\n throw new TypeError('The charset option must be either utf-8, iso-8859-1, or undefined');\n }\n\n var format = formats['default'];\n if (typeof opts.format !== 'undefined') {\n if (!has.call(formats.formatters, opts.format)) {\n throw new TypeError('Unknown format option provided.');\n }\n format = opts.format;\n }\n var formatter = formats.formatters[format];\n\n var filter = defaults.filter;\n if (typeof opts.filter === 'function' || isArray(opts.filter)) {\n filter = opts.filter;\n }\n\n return {\n addQueryPrefix: typeof opts.addQueryPrefix === 'boolean' ? opts.addQueryPrefix : defaults.addQueryPrefix,\n allowDots: typeof opts.allowDots === 'undefined' ? defaults.allowDots : !!opts.allowDots,\n charset: charset,\n charsetSentinel: typeof opts.charsetSentinel === 'boolean' ? opts.charsetSentinel : defaults.charsetSentinel,\n delimiter: typeof opts.delimiter === 'undefined' ? defaults.delimiter : opts.delimiter,\n encode: typeof opts.encode === 'boolean' ? opts.encode : defaults.encode,\n encoder: typeof opts.encoder === 'function' ? opts.encoder : defaults.encoder,\n encodeValuesOnly: typeof opts.encodeValuesOnly === 'boolean' ? opts.encodeValuesOnly : defaults.encodeValuesOnly,\n filter: filter,\n format: format,\n formatter: formatter,\n serializeDate: typeof opts.serializeDate === 'function' ? opts.serializeDate : defaults.serializeDate,\n skipNulls: typeof opts.skipNulls === 'boolean' ? opts.skipNulls : defaults.skipNulls,\n sort: typeof opts.sort === 'function' ? opts.sort : null,\n strictNullHandling: typeof opts.strictNullHandling === 'boolean' ? opts.strictNullHandling : defaults.strictNullHandling\n };\n};\n\nmodule.exports = function (object, opts) {\n var obj = object;\n var options = normalizeStringifyOptions(opts);\n\n var objKeys;\n var filter;\n\n if (typeof options.filter === 'function') {\n filter = options.filter;\n obj = filter('', obj);\n } else if (isArray(options.filter)) {\n filter = options.filter;\n objKeys = filter;\n }\n\n var keys = [];\n\n if (typeof obj !== 'object' || obj === null) {\n return '';\n }\n\n var arrayFormat;\n if (opts && opts.arrayFormat in arrayPrefixGenerators) {\n arrayFormat = opts.arrayFormat;\n } else if (opts && 'indices' in opts) {\n arrayFormat = opts.indices ? 'indices' : 'repeat';\n } else {\n arrayFormat = 'indices';\n }\n\n var generateArrayPrefix = arrayPrefixGenerators[arrayFormat];\n if (opts && 'commaRoundTrip' in opts && typeof opts.commaRoundTrip !== 'boolean') {\n throw new TypeError('`commaRoundTrip` must be a boolean, or absent');\n }\n var commaRoundTrip = generateArrayPrefix === 'comma' && opts && opts.commaRoundTrip;\n\n if (!objKeys) {\n objKeys = Object.keys(obj);\n }\n\n if (options.sort) {\n objKeys.sort(options.sort);\n }\n\n var sideChannel = getSideChannel();\n for (var i = 0; i < objKeys.length; ++i) {\n var key = objKeys[i];\n\n if (options.skipNulls && obj[key] === null) {\n continue;\n }\n pushToArray(keys, stringify(\n obj[key],\n key,\n generateArrayPrefix,\n commaRoundTrip,\n options.strictNullHandling,\n options.skipNulls,\n options.encode ? options.encoder : null,\n options.filter,\n options.sort,\n options.allowDots,\n options.serializeDate,\n options.format,\n options.formatter,\n options.encodeValuesOnly,\n options.charset,\n sideChannel\n ));\n }\n\n var joined = keys.join(options.delimiter);\n var prefix = options.addQueryPrefix === true ? '?' : '';\n\n if (options.charsetSentinel) {\n if (options.charset === 'iso-8859-1') {\n // encodeURIComponent('✓'), the \"numeric entity\" representation of a checkmark\n prefix += 'utf8=%26%2310003%3B&';\n } else {\n // encodeURIComponent('✓')\n prefix += 'utf8=%E2%9C%93&';\n }\n }\n\n return joined.length > 0 ? prefix + joined : '';\n};\n","'use strict';\n\nvar formats = require('./formats');\n\nvar has = Object.prototype.hasOwnProperty;\nvar isArray = Array.isArray;\n\nvar hexTable = (function () {\n var array = [];\n for (var i = 0; i < 256; ++i) {\n array.push('%' + ((i < 16 ? '0' : '') + i.toString(16)).toUpperCase());\n }\n\n return array;\n}());\n\nvar compactQueue = function compactQueue(queue) {\n while (queue.length > 1) {\n var item = queue.pop();\n var obj = item.obj[item.prop];\n\n if (isArray(obj)) {\n var compacted = [];\n\n for (var j = 0; j < obj.length; ++j) {\n if (typeof obj[j] !== 'undefined') {\n compacted.push(obj[j]);\n }\n }\n\n item.obj[item.prop] = compacted;\n }\n }\n};\n\nvar arrayToObject = function arrayToObject(source, options) {\n var obj = options && options.plainObjects ? Object.create(null) : {};\n for (var i = 0; i < source.length; ++i) {\n if (typeof source[i] !== 'undefined') {\n obj[i] = source[i];\n }\n }\n\n return obj;\n};\n\nvar merge = function merge(target, source, options) {\n /* eslint no-param-reassign: 0 */\n if (!source) {\n return target;\n }\n\n if (typeof source !== 'object') {\n if (isArray(target)) {\n target.push(source);\n } else if (target && typeof target === 'object') {\n if ((options && (options.plainObjects || options.allowPrototypes)) || !has.call(Object.prototype, source)) {\n target[source] = true;\n }\n } else {\n return [target, source];\n }\n\n return target;\n }\n\n if (!target || typeof target !== 'object') {\n return [target].concat(source);\n }\n\n var mergeTarget = target;\n if (isArray(target) && !isArray(source)) {\n mergeTarget = arrayToObject(target, options);\n }\n\n if (isArray(target) && isArray(source)) {\n source.forEach(function (item, i) {\n if (has.call(target, i)) {\n var targetItem = target[i];\n if (targetItem && typeof targetItem === 'object' && item && typeof item === 'object') {\n target[i] = merge(targetItem, item, options);\n } else {\n target.push(item);\n }\n } else {\n target[i] = item;\n }\n });\n return target;\n }\n\n return Object.keys(source).reduce(function (acc, key) {\n var value = source[key];\n\n if (has.call(acc, key)) {\n acc[key] = merge(acc[key], value, options);\n } else {\n acc[key] = value;\n }\n return acc;\n }, mergeTarget);\n};\n\nvar assign = function assignSingleSource(target, source) {\n return Object.keys(source).reduce(function (acc, key) {\n acc[key] = source[key];\n return acc;\n }, target);\n};\n\nvar decode = function (str, decoder, charset) {\n var strWithoutPlus = str.replace(/\\+/g, ' ');\n if (charset === 'iso-8859-1') {\n // unescape never throws, no try...catch needed:\n return strWithoutPlus.replace(/%[0-9a-f]{2}/gi, unescape);\n }\n // utf-8\n try {\n return decodeURIComponent(strWithoutPlus);\n } catch (e) {\n return strWithoutPlus;\n }\n};\n\nvar encode = function encode(str, defaultEncoder, charset, kind, format) {\n // This code was originally written by Brian White (mscdex) for the io.js core querystring library.\n // It has been adapted here for stricter adherence to RFC 3986\n if (str.length === 0) {\n return str;\n }\n\n var string = str;\n if (typeof str === 'symbol') {\n string = Symbol.prototype.toString.call(str);\n } else if (typeof str !== 'string') {\n string = String(str);\n }\n\n if (charset === 'iso-8859-1') {\n return escape(string).replace(/%u[0-9a-f]{4}/gi, function ($0) {\n return '%26%23' + parseInt($0.slice(2), 16) + '%3B';\n });\n }\n\n var out = '';\n for (var i = 0; i < string.length; ++i) {\n var c = string.charCodeAt(i);\n\n if (\n c === 0x2D // -\n || c === 0x2E // .\n || c === 0x5F // _\n || c === 0x7E // ~\n || (c >= 0x30 && c <= 0x39) // 0-9\n || (c >= 0x41 && c <= 0x5A) // a-z\n || (c >= 0x61 && c <= 0x7A) // A-Z\n || (format === formats.RFC1738 && (c === 0x28 || c === 0x29)) // ( )\n ) {\n out += string.charAt(i);\n continue;\n }\n\n if (c < 0x80) {\n out = out + hexTable[c];\n continue;\n }\n\n if (c < 0x800) {\n out = out + (hexTable[0xC0 | (c >> 6)] + hexTable[0x80 | (c & 0x3F)]);\n continue;\n }\n\n if (c < 0xD800 || c >= 0xE000) {\n out = out + (hexTable[0xE0 | (c >> 12)] + hexTable[0x80 | ((c >> 6) & 0x3F)] + hexTable[0x80 | (c & 0x3F)]);\n continue;\n }\n\n i += 1;\n c = 0x10000 + (((c & 0x3FF) << 10) | (string.charCodeAt(i) & 0x3FF));\n /* eslint operator-linebreak: [2, \"before\"] */\n out += hexTable[0xF0 | (c >> 18)]\n + hexTable[0x80 | ((c >> 12) & 0x3F)]\n + hexTable[0x80 | ((c >> 6) & 0x3F)]\n + hexTable[0x80 | (c & 0x3F)];\n }\n\n return out;\n};\n\nvar compact = function compact(value) {\n var queue = [{ obj: { o: value }, prop: 'o' }];\n var refs = [];\n\n for (var i = 0; i < queue.length; ++i) {\n var item = queue[i];\n var obj = item.obj[item.prop];\n\n var keys = Object.keys(obj);\n for (var j = 0; j < keys.length; ++j) {\n var key = keys[j];\n var val = obj[key];\n if (typeof val === 'object' && val !== null && refs.indexOf(val) === -1) {\n queue.push({ obj: obj, prop: key });\n refs.push(val);\n }\n }\n }\n\n compactQueue(queue);\n\n return value;\n};\n\nvar isRegExp = function isRegExp(obj) {\n return Object.prototype.toString.call(obj) === '[object RegExp]';\n};\n\nvar isBuffer = function isBuffer(obj) {\n if (!obj || typeof obj !== 'object') {\n return false;\n }\n\n return !!(obj.constructor && obj.constructor.isBuffer && obj.constructor.isBuffer(obj));\n};\n\nvar combine = function combine(a, b) {\n return [].concat(a, b);\n};\n\nvar maybeMap = function maybeMap(val, fn) {\n if (isArray(val)) {\n var mapped = [];\n for (var i = 0; i < val.length; i += 1) {\n mapped.push(fn(val[i]));\n }\n return mapped;\n }\n return fn(val);\n};\n\nmodule.exports = {\n arrayToObject: arrayToObject,\n assign: assign,\n combine: combine,\n compact: compact,\n decode: decode,\n encode: encode,\n isBuffer: isBuffer,\n isRegExp: isRegExp,\n maybeMap: maybeMap,\n merge: merge\n};\n","// A library of seedable RNGs implemented in Javascript.\n//\n// Usage:\n//\n// var seedrandom = require('seedrandom');\n// var random = seedrandom(1); // or any seed.\n// var x = random(); // 0 <= x < 1. Every bit is random.\n// var x = random.quick(); // 0 <= x < 1. 32 bits of randomness.\n\n// alea, a 53-bit multiply-with-carry generator by Johannes Baagøe.\n// Period: ~2^116\n// Reported to pass all BigCrush tests.\nvar alea = require('./lib/alea');\n\n// xor128, a pure xor-shift generator by George Marsaglia.\n// Period: 2^128-1.\n// Reported to fail: MatrixRank and LinearComp.\nvar xor128 = require('./lib/xor128');\n\n// xorwow, George Marsaglia's 160-bit xor-shift combined plus weyl.\n// Period: 2^192-2^32\n// Reported to fail: CollisionOver, SimpPoker, and LinearComp.\nvar xorwow = require('./lib/xorwow');\n\n// xorshift7, by François Panneton and Pierre L'ecuyer, takes\n// a different approach: it adds robustness by allowing more shifts\n// than Marsaglia's original three. It is a 7-shift generator\n// with 256 bits, that passes BigCrush with no systmatic failures.\n// Period 2^256-1.\n// No systematic BigCrush failures reported.\nvar xorshift7 = require('./lib/xorshift7');\n\n// xor4096, by Richard Brent, is a 4096-bit xor-shift with a\n// very long period that also adds a Weyl generator. It also passes\n// BigCrush with no systematic failures. Its long period may\n// be useful if you have many generators and need to avoid\n// collisions.\n// Period: 2^4128-2^32.\n// No systematic BigCrush failures reported.\nvar xor4096 = require('./lib/xor4096');\n\n// Tyche-i, by Samuel Neves and Filipe Araujo, is a bit-shifting random\n// number generator derived from ChaCha, a modern stream cipher.\n// https://eden.dei.uc.pt/~sneves/pubs/2011-snfa2.pdf\n// Period: ~2^127\n// No systematic BigCrush failures reported.\nvar tychei = require('./lib/tychei');\n\n// The original ARC4-based prng included in this library.\n// Period: ~2^1600\nvar sr = require('./seedrandom');\n\nsr.alea = alea;\nsr.xor128 = xor128;\nsr.xorwow = xorwow;\nsr.xorshift7 = xorshift7;\nsr.xor4096 = xor4096;\nsr.tychei = tychei;\n\nmodule.exports = sr;\n","// A port of an algorithm by Johannes Baagøe , 2010\n// http://baagoe.com/en/RandomMusings/javascript/\n// https://github.com/nquinlan/better-random-numbers-for-javascript-mirror\n// Original work is under MIT license -\n\n// Copyright (C) 2010 by Johannes Baagøe \n//\n// Permission is hereby granted, free of charge, to any person obtaining a copy\n// of this software and associated documentation files (the \"Software\"), to deal\n// in the Software without restriction, including without limitation the rights\n// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell\n// copies of the Software, and to permit persons to whom the Software is\n// furnished to do so, subject to the following conditions:\n//\n// The above copyright notice and this permission notice shall be included in\n// all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\n// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\n// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\n// THE SOFTWARE.\n\n\n\n(function(global, module, define) {\n\nfunction Alea(seed) {\n var me = this, mash = Mash();\n\n me.next = function() {\n var t = 2091639 * me.s0 + me.c * 2.3283064365386963e-10; // 2^-32\n me.s0 = me.s1;\n me.s1 = me.s2;\n return me.s2 = t - (me.c = t | 0);\n };\n\n // Apply the seeding algorithm from Baagoe.\n me.c = 1;\n me.s0 = mash(' ');\n me.s1 = mash(' ');\n me.s2 = mash(' ');\n me.s0 -= mash(seed);\n if (me.s0 < 0) { me.s0 += 1; }\n me.s1 -= mash(seed);\n if (me.s1 < 0) { me.s1 += 1; }\n me.s2 -= mash(seed);\n if (me.s2 < 0) { me.s2 += 1; }\n mash = null;\n}\n\nfunction copy(f, t) {\n t.c = f.c;\n t.s0 = f.s0;\n t.s1 = f.s1;\n t.s2 = f.s2;\n return t;\n}\n\nfunction impl(seed, opts) {\n var xg = new Alea(seed),\n state = opts && opts.state,\n prng = xg.next;\n prng.int32 = function() { return (xg.next() * 0x100000000) | 0; }\n prng.double = function() {\n return prng() + (prng() * 0x200000 | 0) * 1.1102230246251565e-16; // 2^-53\n };\n prng.quick = prng;\n if (state) {\n if (typeof(state) == 'object') copy(state, xg);\n prng.state = function() { return copy(xg, {}); }\n }\n return prng;\n}\n\nfunction Mash() {\n var n = 0xefc8249d;\n\n var mash = function(data) {\n data = String(data);\n for (var i = 0; i < data.length; i++) {\n n += data.charCodeAt(i);\n var h = 0.02519603282416938 * n;\n n = h >>> 0;\n h -= n;\n h *= n;\n n = h >>> 0;\n h -= n;\n n += h * 0x100000000; // 2^32\n }\n return (n >>> 0) * 2.3283064365386963e-10; // 2^-32\n };\n\n return mash;\n}\n\n\nif (module && module.exports) {\n module.exports = impl;\n} else if (define && define.amd) {\n define(function() { return impl; });\n} else {\n this.alea = impl;\n}\n\n})(\n this,\n (typeof module) == 'object' && module, // present in node.js\n (typeof define) == 'function' && define // present with an AMD loader\n);\n\n\n","// A Javascript implementaion of the \"Tyche-i\" prng algorithm by\n// Samuel Neves and Filipe Araujo.\n// See https://eden.dei.uc.pt/~sneves/pubs/2011-snfa2.pdf\n\n(function(global, module, define) {\n\nfunction XorGen(seed) {\n var me = this, strseed = '';\n\n // Set up generator function.\n me.next = function() {\n var b = me.b, c = me.c, d = me.d, a = me.a;\n b = (b << 25) ^ (b >>> 7) ^ c;\n c = (c - d) | 0;\n d = (d << 24) ^ (d >>> 8) ^ a;\n a = (a - b) | 0;\n me.b = b = (b << 20) ^ (b >>> 12) ^ c;\n me.c = c = (c - d) | 0;\n me.d = (d << 16) ^ (c >>> 16) ^ a;\n return me.a = (a - b) | 0;\n };\n\n /* The following is non-inverted tyche, which has better internal\n * bit diffusion, but which is about 25% slower than tyche-i in JS.\n me.next = function() {\n var a = me.a, b = me.b, c = me.c, d = me.d;\n a = (me.a + me.b | 0) >>> 0;\n d = me.d ^ a; d = d << 16 ^ d >>> 16;\n c = me.c + d | 0;\n b = me.b ^ c; b = b << 12 ^ d >>> 20;\n me.a = a = a + b | 0;\n d = d ^ a; me.d = d = d << 8 ^ d >>> 24;\n me.c = c = c + d | 0;\n b = b ^ c;\n return me.b = (b << 7 ^ b >>> 25);\n }\n */\n\n me.a = 0;\n me.b = 0;\n me.c = 2654435769 | 0;\n me.d = 1367130551;\n\n if (seed === Math.floor(seed)) {\n // Integer seed.\n me.a = (seed / 0x100000000) | 0;\n me.b = seed | 0;\n } else {\n // String seed.\n strseed += seed;\n }\n\n // Mix in string seed, then discard an initial batch of 64 values.\n for (var k = 0; k < strseed.length + 20; k++) {\n me.b ^= strseed.charCodeAt(k) | 0;\n me.next();\n }\n}\n\nfunction copy(f, t) {\n t.a = f.a;\n t.b = f.b;\n t.c = f.c;\n t.d = f.d;\n return t;\n};\n\nfunction impl(seed, opts) {\n var xg = new XorGen(seed),\n state = opts && opts.state,\n prng = function() { return (xg.next() >>> 0) / 0x100000000; };\n prng.double = function() {\n do {\n var top = xg.next() >>> 11,\n bot = (xg.next() >>> 0) / 0x100000000,\n result = (top + bot) / (1 << 21);\n } while (result === 0);\n return result;\n };\n prng.int32 = xg.next;\n prng.quick = prng;\n if (state) {\n if (typeof(state) == 'object') copy(state, xg);\n prng.state = function() { return copy(xg, {}); }\n }\n return prng;\n}\n\nif (module && module.exports) {\n module.exports = impl;\n} else if (define && define.amd) {\n define(function() { return impl; });\n} else {\n this.tychei = impl;\n}\n\n})(\n this,\n (typeof module) == 'object' && module, // present in node.js\n (typeof define) == 'function' && define // present with an AMD loader\n);\n\n\n","// A Javascript implementaion of the \"xor128\" prng algorithm by\n// George Marsaglia. See http://www.jstatsoft.org/v08/i14/paper\n\n(function(global, module, define) {\n\nfunction XorGen(seed) {\n var me = this, strseed = '';\n\n me.x = 0;\n me.y = 0;\n me.z = 0;\n me.w = 0;\n\n // Set up generator function.\n me.next = function() {\n var t = me.x ^ (me.x << 11);\n me.x = me.y;\n me.y = me.z;\n me.z = me.w;\n return me.w ^= (me.w >>> 19) ^ t ^ (t >>> 8);\n };\n\n if (seed === (seed | 0)) {\n // Integer seed.\n me.x = seed;\n } else {\n // String seed.\n strseed += seed;\n }\n\n // Mix in string seed, then discard an initial batch of 64 values.\n for (var k = 0; k < strseed.length + 64; k++) {\n me.x ^= strseed.charCodeAt(k) | 0;\n me.next();\n }\n}\n\nfunction copy(f, t) {\n t.x = f.x;\n t.y = f.y;\n t.z = f.z;\n t.w = f.w;\n return t;\n}\n\nfunction impl(seed, opts) {\n var xg = new XorGen(seed),\n state = opts && opts.state,\n prng = function() { return (xg.next() >>> 0) / 0x100000000; };\n prng.double = function() {\n do {\n var top = xg.next() >>> 11,\n bot = (xg.next() >>> 0) / 0x100000000,\n result = (top + bot) / (1 << 21);\n } while (result === 0);\n return result;\n };\n prng.int32 = xg.next;\n prng.quick = prng;\n if (state) {\n if (typeof(state) == 'object') copy(state, xg);\n prng.state = function() { return copy(xg, {}); }\n }\n return prng;\n}\n\nif (module && module.exports) {\n module.exports = impl;\n} else if (define && define.amd) {\n define(function() { return impl; });\n} else {\n this.xor128 = impl;\n}\n\n})(\n this,\n (typeof module) == 'object' && module, // present in node.js\n (typeof define) == 'function' && define // present with an AMD loader\n);\n\n\n","// A Javascript implementaion of Richard Brent's Xorgens xor4096 algorithm.\n//\n// This fast non-cryptographic random number generator is designed for\n// use in Monte-Carlo algorithms. It combines a long-period xorshift\n// generator with a Weyl generator, and it passes all common batteries\n// of stasticial tests for randomness while consuming only a few nanoseconds\n// for each prng generated. For background on the generator, see Brent's\n// paper: \"Some long-period random number generators using shifts and xors.\"\n// http://arxiv.org/pdf/1004.3115v1.pdf\n//\n// Usage:\n//\n// var xor4096 = require('xor4096');\n// random = xor4096(1); // Seed with int32 or string.\n// assert.equal(random(), 0.1520436450538547); // (0, 1) range, 53 bits.\n// assert.equal(random.int32(), 1806534897); // signed int32, 32 bits.\n//\n// For nonzero numeric keys, this impelementation provides a sequence\n// identical to that by Brent's xorgens 3 implementaion in C. This\n// implementation also provides for initalizing the generator with\n// string seeds, or for saving and restoring the state of the generator.\n//\n// On Chrome, this prng benchmarks about 2.1 times slower than\n// Javascript's built-in Math.random().\n\n(function(global, module, define) {\n\nfunction XorGen(seed) {\n var me = this;\n\n // Set up generator function.\n me.next = function() {\n var w = me.w,\n X = me.X, i = me.i, t, v;\n // Update Weyl generator.\n me.w = w = (w + 0x61c88647) | 0;\n // Update xor generator.\n v = X[(i + 34) & 127];\n t = X[i = ((i + 1) & 127)];\n v ^= v << 13;\n t ^= t << 17;\n v ^= v >>> 15;\n t ^= t >>> 12;\n // Update Xor generator array state.\n v = X[i] = v ^ t;\n me.i = i;\n // Result is the combination.\n return (v + (w ^ (w >>> 16))) | 0;\n };\n\n function init(me, seed) {\n var t, v, i, j, w, X = [], limit = 128;\n if (seed === (seed | 0)) {\n // Numeric seeds initialize v, which is used to generates X.\n v = seed;\n seed = null;\n } else {\n // String seeds are mixed into v and X one character at a time.\n seed = seed + '\\0';\n v = 0;\n limit = Math.max(limit, seed.length);\n }\n // Initialize circular array and weyl value.\n for (i = 0, j = -32; j < limit; ++j) {\n // Put the unicode characters into the array, and shuffle them.\n if (seed) v ^= seed.charCodeAt((j + 32) % seed.length);\n // After 32 shuffles, take v as the starting w value.\n if (j === 0) w = v;\n v ^= v << 10;\n v ^= v >>> 15;\n v ^= v << 4;\n v ^= v >>> 13;\n if (j >= 0) {\n w = (w + 0x61c88647) | 0; // Weyl.\n t = (X[j & 127] ^= (v + w)); // Combine xor and weyl to init array.\n i = (0 == t) ? i + 1 : 0; // Count zeroes.\n }\n }\n // We have detected all zeroes; make the key nonzero.\n if (i >= 128) {\n X[(seed && seed.length || 0) & 127] = -1;\n }\n // Run the generator 512 times to further mix the state before using it.\n // Factoring this as a function slows the main generator, so it is just\n // unrolled here. The weyl generator is not advanced while warming up.\n i = 127;\n for (j = 4 * 128; j > 0; --j) {\n v = X[(i + 34) & 127];\n t = X[i = ((i + 1) & 127)];\n v ^= v << 13;\n t ^= t << 17;\n v ^= v >>> 15;\n t ^= t >>> 12;\n X[i] = v ^ t;\n }\n // Storing state as object members is faster than using closure variables.\n me.w = w;\n me.X = X;\n me.i = i;\n }\n\n init(me, seed);\n}\n\nfunction copy(f, t) {\n t.i = f.i;\n t.w = f.w;\n t.X = f.X.slice();\n return t;\n};\n\nfunction impl(seed, opts) {\n if (seed == null) seed = +(new Date);\n var xg = new XorGen(seed),\n state = opts && opts.state,\n prng = function() { return (xg.next() >>> 0) / 0x100000000; };\n prng.double = function() {\n do {\n var top = xg.next() >>> 11,\n bot = (xg.next() >>> 0) / 0x100000000,\n result = (top + bot) / (1 << 21);\n } while (result === 0);\n return result;\n };\n prng.int32 = xg.next;\n prng.quick = prng;\n if (state) {\n if (state.X) copy(state, xg);\n prng.state = function() { return copy(xg, {}); }\n }\n return prng;\n}\n\nif (module && module.exports) {\n module.exports = impl;\n} else if (define && define.amd) {\n define(function() { return impl; });\n} else {\n this.xor4096 = impl;\n}\n\n})(\n this, // window object or global\n (typeof module) == 'object' && module, // present in node.js\n (typeof define) == 'function' && define // present with an AMD loader\n);\n","// A Javascript implementaion of the \"xorshift7\" algorithm by\n// François Panneton and Pierre L'ecuyer:\n// \"On the Xorgshift Random Number Generators\"\n// http://saluc.engr.uconn.edu/refs/crypto/rng/panneton05onthexorshift.pdf\n\n(function(global, module, define) {\n\nfunction XorGen(seed) {\n var me = this;\n\n // Set up generator function.\n me.next = function() {\n // Update xor generator.\n var X = me.x, i = me.i, t, v, w;\n t = X[i]; t ^= (t >>> 7); v = t ^ (t << 24);\n t = X[(i + 1) & 7]; v ^= t ^ (t >>> 10);\n t = X[(i + 3) & 7]; v ^= t ^ (t >>> 3);\n t = X[(i + 4) & 7]; v ^= t ^ (t << 7);\n t = X[(i + 7) & 7]; t = t ^ (t << 13); v ^= t ^ (t << 9);\n X[i] = v;\n me.i = (i + 1) & 7;\n return v;\n };\n\n function init(me, seed) {\n var j, w, X = [];\n\n if (seed === (seed | 0)) {\n // Seed state array using a 32-bit integer.\n w = X[0] = seed;\n } else {\n // Seed state using a string.\n seed = '' + seed;\n for (j = 0; j < seed.length; ++j) {\n X[j & 7] = (X[j & 7] << 15) ^\n (seed.charCodeAt(j) + X[(j + 1) & 7] << 13);\n }\n }\n // Enforce an array length of 8, not all zeroes.\n while (X.length < 8) X.push(0);\n for (j = 0; j < 8 && X[j] === 0; ++j);\n if (j == 8) w = X[7] = -1; else w = X[j];\n\n me.x = X;\n me.i = 0;\n\n // Discard an initial 256 values.\n for (j = 256; j > 0; --j) {\n me.next();\n }\n }\n\n init(me, seed);\n}\n\nfunction copy(f, t) {\n t.x = f.x.slice();\n t.i = f.i;\n return t;\n}\n\nfunction impl(seed, opts) {\n if (seed == null) seed = +(new Date);\n var xg = new XorGen(seed),\n state = opts && opts.state,\n prng = function() { return (xg.next() >>> 0) / 0x100000000; };\n prng.double = function() {\n do {\n var top = xg.next() >>> 11,\n bot = (xg.next() >>> 0) / 0x100000000,\n result = (top + bot) / (1 << 21);\n } while (result === 0);\n return result;\n };\n prng.int32 = xg.next;\n prng.quick = prng;\n if (state) {\n if (state.x) copy(state, xg);\n prng.state = function() { return copy(xg, {}); }\n }\n return prng;\n}\n\nif (module && module.exports) {\n module.exports = impl;\n} else if (define && define.amd) {\n define(function() { return impl; });\n} else {\n this.xorshift7 = impl;\n}\n\n})(\n this,\n (typeof module) == 'object' && module, // present in node.js\n (typeof define) == 'function' && define // present with an AMD loader\n);\n\n","// A Javascript implementaion of the \"xorwow\" prng algorithm by\n// George Marsaglia. See http://www.jstatsoft.org/v08/i14/paper\n\n(function(global, module, define) {\n\nfunction XorGen(seed) {\n var me = this, strseed = '';\n\n // Set up generator function.\n me.next = function() {\n var t = (me.x ^ (me.x >>> 2));\n me.x = me.y; me.y = me.z; me.z = me.w; me.w = me.v;\n return (me.d = (me.d + 362437 | 0)) +\n (me.v = (me.v ^ (me.v << 4)) ^ (t ^ (t << 1))) | 0;\n };\n\n me.x = 0;\n me.y = 0;\n me.z = 0;\n me.w = 0;\n me.v = 0;\n\n if (seed === (seed | 0)) {\n // Integer seed.\n me.x = seed;\n } else {\n // String seed.\n strseed += seed;\n }\n\n // Mix in string seed, then discard an initial batch of 64 values.\n for (var k = 0; k < strseed.length + 64; k++) {\n me.x ^= strseed.charCodeAt(k) | 0;\n if (k == strseed.length) {\n me.d = me.x << 10 ^ me.x >>> 4;\n }\n me.next();\n }\n}\n\nfunction copy(f, t) {\n t.x = f.x;\n t.y = f.y;\n t.z = f.z;\n t.w = f.w;\n t.v = f.v;\n t.d = f.d;\n return t;\n}\n\nfunction impl(seed, opts) {\n var xg = new XorGen(seed),\n state = opts && opts.state,\n prng = function() { return (xg.next() >>> 0) / 0x100000000; };\n prng.double = function() {\n do {\n var top = xg.next() >>> 11,\n bot = (xg.next() >>> 0) / 0x100000000,\n result = (top + bot) / (1 << 21);\n } while (result === 0);\n return result;\n };\n prng.int32 = xg.next;\n prng.quick = prng;\n if (state) {\n if (typeof(state) == 'object') copy(state, xg);\n prng.state = function() { return copy(xg, {}); }\n }\n return prng;\n}\n\nif (module && module.exports) {\n module.exports = impl;\n} else if (define && define.amd) {\n define(function() { return impl; });\n} else {\n this.xorwow = impl;\n}\n\n})(\n this,\n (typeof module) == 'object' && module, // present in node.js\n (typeof define) == 'function' && define // present with an AMD loader\n);\n\n\n","/*\nCopyright 2019 David Bau.\n\nPermission is hereby granted, free of charge, to any person obtaining\na copy of this software and associated documentation files (the\n\"Software\"), to deal in the Software without restriction, including\nwithout limitation the rights to use, copy, modify, merge, publish,\ndistribute, sublicense, and/or sell copies of the Software, and to\npermit persons to whom the Software is furnished to do so, subject to\nthe following conditions:\n\nThe above copyright notice and this permission notice shall be\nincluded in all copies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND,\nEXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\nMERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.\nIN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY\nCLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,\nTORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE\nSOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n*/\n\n(function (global, pool, math) {\n//\n// The following constants are related to IEEE 754 limits.\n//\n\nvar width = 256, // each RC4 output is 0 <= x < 256\n chunks = 6, // at least six RC4 outputs for each double\n digits = 52, // there are 52 significant digits in a double\n rngname = 'random', // rngname: name for Math.random and Math.seedrandom\n startdenom = math.pow(width, chunks),\n significance = math.pow(2, digits),\n overflow = significance * 2,\n mask = width - 1,\n nodecrypto; // node.js crypto module, initialized at the bottom.\n\n//\n// seedrandom()\n// This is the seedrandom function described above.\n//\nfunction seedrandom(seed, options, callback) {\n var key = [];\n options = (options == true) ? { entropy: true } : (options || {});\n\n // Flatten the seed string or build one from local entropy if needed.\n var shortseed = mixkey(flatten(\n options.entropy ? [seed, tostring(pool)] :\n (seed == null) ? autoseed() : seed, 3), key);\n\n // Use the seed to initialize an ARC4 generator.\n var arc4 = new ARC4(key);\n\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 var prng = function() {\n var n = arc4.g(chunks), // Start with a numerator n < 2 ^ 48\n d = startdenom, // and denominator d = 2 ^ 48.\n x = 0; // and no 'extra last byte'.\n while (n < significance) { // Fill up all significant digits by\n n = (n + x) * width; // shifting numerator and\n d *= width; // denominator and generating a\n x = arc4.g(1); // new least-significant-byte.\n }\n while (n >= overflow) { // To avoid rounding up, before adding\n n /= 2; // last byte, shift everything\n d /= 2; // right using integer math until\n x >>>= 1; // we have exactly the desired bits.\n }\n return (n + x) / d; // Form the number within [0, 1).\n };\n\n prng.int32 = function() { return arc4.g(4) | 0; }\n prng.quick = function() { return arc4.g(4) / 0x100000000; }\n prng.double = prng;\n\n // Mix the randomness into accumulated entropy.\n mixkey(tostring(arc4.S), pool);\n\n // Calling convention: what to return as a function of prng, seed, is_math.\n return (options.pass || callback ||\n function(prng, seed, is_math_call, state) {\n if (state) {\n // Load the arc4 state from the given state if it has an S array.\n if (state.S) { copy(state, arc4); }\n // Only provide the .state method if requested via options.state.\n prng.state = function() { return copy(arc4, {}); }\n }\n\n // If called as a method of Math (Math.seedrandom()), mutate\n // Math.random because that is how seedrandom.js has worked since v1.0.\n if (is_math_call) { math[rngname] = prng; return seed; }\n\n // Otherwise, it is a newer calling convention, so return the\n // prng directly.\n else return prng;\n })(\n prng,\n shortseed,\n 'global' in options ? options.global : (this == math),\n options.state);\n}\n\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//\nfunction ARC4(key) {\n var t, keylen = key.length,\n me = this, i = 0, j = me.i = me.j = 0, s = me.S = [];\n\n // The empty key [] is treated as [0].\n if (!keylen) { key = [keylen++]; }\n\n // Set up S using the standard key scheduling algorithm.\n while (i < width) {\n s[i] = i++;\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 }\n\n // The \"g\" method returns the next (count) outputs as one number.\n (me.g = function(count) {\n // Using instance members instead of closure state nearly doubles speed.\n var t, r = 0,\n i = me.i, j = me.j, s = me.S;\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 me.i = i; me.j = j;\n return r;\n // For robust unpredictability, the function call below automatically\n // discards an initial batch of values. This is called RC4-drop[256].\n // See http://google.com/search?q=rsa+fluhrer+response&btnI\n })(width);\n}\n\n//\n// copy()\n// Copies internal state of ARC4 to or from a plain object.\n//\nfunction copy(f, t) {\n t.i = f.i;\n t.j = f.j;\n t.S = f.S.slice();\n return t;\n};\n\n//\n// flatten()\n// Converts an object tree to nested arrays of strings.\n//\nfunction flatten(obj, depth) {\n var result = [], typ = (typeof obj), prop;\n if (depth && typ == 'object') {\n for (prop in obj) {\n try { result.push(flatten(obj[prop], depth - 1)); } catch (e) {}\n }\n }\n return (result.length ? result : typ == 'string' ? obj : obj + '\\0');\n}\n\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//\nfunction mixkey(seed, key) {\n var stringseed = seed + '', smear, j = 0;\n while (j < stringseed.length) {\n key[mask & j] =\n mask & ((smear ^= key[mask & j] * 19) + stringseed.charCodeAt(j++));\n }\n return tostring(key);\n}\n\n//\n// autoseed()\n// Returns an object for autoseeding, using window.crypto and Node crypto\n// module if available.\n//\nfunction autoseed() {\n try {\n var out;\n if (nodecrypto && (out = nodecrypto.randomBytes)) {\n // The use of 'out' to remember randomBytes makes tight minified code.\n out = out(width);\n } else {\n out = new Uint8Array(width);\n (global.crypto || global.msCrypto).getRandomValues(out);\n }\n return tostring(out);\n } catch (e) {\n var browser = global.navigator,\n plugins = browser && browser.plugins;\n return [+new Date, global, plugins, global.screen, tostring(pool)];\n }\n}\n\n//\n// tostring()\n// Converts an array of charcodes to a string\n//\nfunction tostring(a) {\n return String.fromCharCode.apply(0, a);\n}\n\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 interfere with deterministic PRNG state later,\n// seedrandom will not call math.random on its own again after\n// initialization.\n//\nmixkey(math.random(), pool);\n\n//\n// Nodejs and AMD support: export the implementation as a module using\n// either convention.\n//\nif ((typeof module) == 'object' && module.exports) {\n module.exports = seedrandom;\n // When in node.js, try using crypto package for autoseeding.\n try {\n nodecrypto = require('crypto');\n } catch (ex) {}\n} else if ((typeof define) == 'function' && define.amd) {\n define(function() { return seedrandom; });\n} else {\n // When included as a plain script, set up Math.seedrandom global.\n math['seed' + rngname] = seedrandom;\n}\n\n\n// End anonymous scope, and pass initial values.\n})(\n // global: `self` in browsers (including strict mode and web workers),\n // otherwise `this` in Node and other environments\n (typeof self !== 'undefined') ? self : this,\n [], // pool: entropy pool starts empty\n Math // math: package containing random, pow, and seedrandom\n);\n","'use strict';\n\nvar GetIntrinsic = require('get-intrinsic');\nvar define = require('define-data-property');\nvar hasDescriptors = require('has-property-descriptors')();\nvar gOPD = require('gopd');\n\nvar $TypeError = GetIntrinsic('%TypeError%');\nvar $floor = GetIntrinsic('%Math.floor%');\n\n/** @typedef {(...args: unknown[]) => unknown} Func */\n\n/** @type {(fn: T, length: number, loose?: boolean) => T} */\nmodule.exports = function setFunctionLength(fn, length) {\n\tif (typeof fn !== 'function') {\n\t\tthrow new $TypeError('`fn` is not a function');\n\t}\n\tif (typeof length !== 'number' || length < 0 || length > 0xFFFFFFFF || $floor(length) !== length) {\n\t\tthrow new $TypeError('`length` must be a positive 32-bit integer');\n\t}\n\n\tvar loose = arguments.length > 2 && !!arguments[2];\n\n\tvar functionLengthIsConfigurable = true;\n\tvar functionLengthIsWritable = true;\n\tif ('length' in fn && gOPD) {\n\t\tvar desc = gOPD(fn, 'length');\n\t\tif (desc && !desc.configurable) {\n\t\t\tfunctionLengthIsConfigurable = false;\n\t\t}\n\t\tif (desc && !desc.writable) {\n\t\t\tfunctionLengthIsWritable = false;\n\t\t}\n\t}\n\n\tif (functionLengthIsConfigurable || functionLengthIsWritable || !loose) {\n\t\tif (hasDescriptors) {\n\t\t\tdefine(/** @type {Parameters[0]} */ (fn), 'length', length, true, true);\n\t\t} else {\n\t\t\tdefine(/** @type {Parameters[0]} */ (fn), 'length', length);\n\t\t}\n\t}\n\treturn fn;\n};\n","'use strict';\n\nvar GetIntrinsic = require('get-intrinsic');\nvar callBound = require('call-bind/callBound');\nvar inspect = require('object-inspect');\n\nvar $TypeError = GetIntrinsic('%TypeError%');\nvar $WeakMap = GetIntrinsic('%WeakMap%', true);\nvar $Map = GetIntrinsic('%Map%', true);\n\nvar $weakMapGet = callBound('WeakMap.prototype.get', true);\nvar $weakMapSet = callBound('WeakMap.prototype.set', true);\nvar $weakMapHas = callBound('WeakMap.prototype.has', true);\nvar $mapGet = callBound('Map.prototype.get', true);\nvar $mapSet = callBound('Map.prototype.set', true);\nvar $mapHas = callBound('Map.prototype.has', true);\n\n/*\n * This function traverses the list returning the node corresponding to the\n * given key.\n *\n * That node is also moved to the head of the list, so that if it's accessed\n * again we don't need to traverse the whole list. By doing so, all the recently\n * used nodes can be accessed relatively quickly.\n */\nvar listGetNode = function (list, key) { // eslint-disable-line consistent-return\n\tfor (var prev = list, curr; (curr = prev.next) !== null; prev = curr) {\n\t\tif (curr.key === key) {\n\t\t\tprev.next = curr.next;\n\t\t\tcurr.next = list.next;\n\t\t\tlist.next = curr; // eslint-disable-line no-param-reassign\n\t\t\treturn curr;\n\t\t}\n\t}\n};\n\nvar listGet = function (objects, key) {\n\tvar node = listGetNode(objects, key);\n\treturn node && node.value;\n};\nvar listSet = function (objects, key, value) {\n\tvar node = listGetNode(objects, key);\n\tif (node) {\n\t\tnode.value = value;\n\t} else {\n\t\t// Prepend the new node to the beginning of the list\n\t\tobjects.next = { // eslint-disable-line no-param-reassign\n\t\t\tkey: key,\n\t\t\tnext: objects.next,\n\t\t\tvalue: value\n\t\t};\n\t}\n};\nvar listHas = function (objects, key) {\n\treturn !!listGetNode(objects, key);\n};\n\nmodule.exports = function getSideChannel() {\n\tvar $wm;\n\tvar $m;\n\tvar $o;\n\tvar channel = {\n\t\tassert: function (key) {\n\t\t\tif (!channel.has(key)) {\n\t\t\t\tthrow new $TypeError('Side channel does not contain ' + inspect(key));\n\t\t\t}\n\t\t},\n\t\tget: function (key) { // eslint-disable-line consistent-return\n\t\t\tif ($WeakMap && key && (typeof key === 'object' || typeof key === 'function')) {\n\t\t\t\tif ($wm) {\n\t\t\t\t\treturn $weakMapGet($wm, key);\n\t\t\t\t}\n\t\t\t} else if ($Map) {\n\t\t\t\tif ($m) {\n\t\t\t\t\treturn $mapGet($m, key);\n\t\t\t\t}\n\t\t\t} else {\n\t\t\t\tif ($o) { // eslint-disable-line no-lonely-if\n\t\t\t\t\treturn listGet($o, key);\n\t\t\t\t}\n\t\t\t}\n\t\t},\n\t\thas: function (key) {\n\t\t\tif ($WeakMap && key && (typeof key === 'object' || typeof key === 'function')) {\n\t\t\t\tif ($wm) {\n\t\t\t\t\treturn $weakMapHas($wm, key);\n\t\t\t\t}\n\t\t\t} else if ($Map) {\n\t\t\t\tif ($m) {\n\t\t\t\t\treturn $mapHas($m, key);\n\t\t\t\t}\n\t\t\t} else {\n\t\t\t\tif ($o) { // eslint-disable-line no-lonely-if\n\t\t\t\t\treturn listHas($o, key);\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn false;\n\t\t},\n\t\tset: function (key, value) {\n\t\t\tif ($WeakMap && key && (typeof key === 'object' || typeof key === 'function')) {\n\t\t\t\tif (!$wm) {\n\t\t\t\t\t$wm = new $WeakMap();\n\t\t\t\t}\n\t\t\t\t$weakMapSet($wm, key, value);\n\t\t\t} else if ($Map) {\n\t\t\t\tif (!$m) {\n\t\t\t\t\t$m = new $Map();\n\t\t\t\t}\n\t\t\t\t$mapSet($m, key, value);\n\t\t\t} else {\n\t\t\t\tif (!$o) {\n\t\t\t\t\t/*\n\t\t\t\t\t * Initialize the linked list as an empty node, so that we don't have\n\t\t\t\t\t * to special-case handling of the first node: we can always refer to\n\t\t\t\t\t * it as (previous node).next, instead of something like (list).head\n\t\t\t\t\t */\n\t\t\t\t\t$o = { key: {}, next: null };\n\t\t\t\t}\n\t\t\t\tlistSet($o, key, value);\n\t\t\t}\n\t\t}\n\t};\n\treturn channel;\n};\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\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 const NOT_TYPED_FUNCTION = 'Argument is not a typed-function.'\n\n /**\n * @typedef {{\n * params: Param[],\n * fn: function,\n * test: function,\n * implementation: function\n * }} Signature\n *\n * @typedef {{\n * types: Type[],\n * hasAny: boolean,\n * hasConversion: boolean,\n * restParam: boolean\n * }} Param\n *\n * @typedef {{\n * name: string,\n * typeIndex: number,\n * test: function,\n * isAny: boolean,\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 * isAny?: boolean\n * }} TypeDef\n */\n\n // create a new instance of typed-function\n function create () {\n // data type tests\n\n /**\n * Returns true if the argument is a non-null \"plain\" object\n */\n function isPlainObject (x) {\n return typeof x === 'object' && x !== null && x.constructor === Object\n }\n\n const _types = [\n { name: 'number', test: function (x) { return typeof x === 'number' } },\n { name: 'string', test: function (x) { return typeof x === 'string' } },\n { name: 'boolean', test: function (x) { return typeof x === 'boolean' } },\n { name: 'Function', test: function (x) { return typeof x === 'function'} },\n { name: 'Array', test: Array.isArray },\n { name: 'Date', test: function (x) { return x instanceof Date } },\n { name: 'RegExp', test: function (x) { return x instanceof RegExp } },\n { name: 'Object', test: isPlainObject },\n { name: 'null', test: function (x) { return x === null } },\n { name: 'undefined', test: function (x) { return x === undefined } }\n ];\n\n const anyType = {\n name: 'any',\n test: ok,\n isAny: true\n }\n\n // Data structures to track the types. As these are local variables in\n // create(), each typed universe will get its own copy, but the variables\n // will only be accessible through the (closures of the) functions supplied\n // as properties of the typed object, not directly.\n // These will be initialized in clear() below\n let typeMap; // primary store of all types\n let typeList; // Array of just type names, for the sake of ordering\n\n // And similar data structures for the type conversions:\n let nConversions = 0;\n // the actual conversions are stored on a property of the destination types\n\n // This is a temporary object, will be replaced with a function at the end\n let typed = { createCount: 0 };\n\n /**\n * Takes a type name and returns the corresponding official type object\n * for that type.\n *\n * @param {string} typeSpec\n * @returns {TypeDef} type\n */\n function findType (typeName) {\n const type = typeMap.get(typeName)\n if (type) {\n return type;\n }\n // Remainder is error handling\n let message = 'Unknown type \"' + typeName + '\"';\n const name = typeName.toLowerCase();\n let otherName;\n for (otherName of typeList) {\n if (otherName.toLowerCase() === name) {\n message += '. Did you mean \"' + otherName + '\" ?';\n break;\n }\n }\n throw new TypeError(message);\n }\n\n /**\n * Adds an array `types` of type definitions to this typed instance.\n * Each type definition should be an object with properties:\n * 'name' - a string giving the name of the type; 'test' - function\n * returning a boolean that tests membership in the type; and optionally\n * 'isAny' - true only for the 'any' type.\n *\n * The second optional argument, `before`, gives the name of a type that\n * these types should be added before. The new types are added in the\n * order specified.\n * @param {TypeDef[]} types\n * @param {string} ['any'] before\n */\n function addTypes (types, beforeSpec = 'any') {\n const beforeIndex = beforeSpec\n ? findType(beforeSpec).index\n : typeList.length;\n const newTypes = [];\n for (var i = 0; i < types.length; ++i) {\n if (!types[i] || typeof types[i].name !== 'string' ||\n typeof types[i].test !== 'function') {\n throw new TypeError('Object with properties {name: string, test: function} expected');\n }\n const typeName = types[i].name;\n if (typeMap.has(typeName)) {\n throw new TypeError('Duplicate type name \"' + typeName + '\"');\n }\n newTypes.push(typeName);\n typeMap.set(typeName, {\n name: typeName,\n test: types[i].test,\n isAny: types[i].isAny,\n index: beforeIndex + i,\n conversionsTo: [] // Newly added type can't have any conversions to it\n })\n }\n // update the typeList\n const affectedTypes = typeList.slice(beforeIndex);\n typeList =\n typeList.slice(0,beforeIndex).concat(newTypes).concat(affectedTypes);\n // Fix the indices\n for (var i = beforeIndex + newTypes.length; i < typeList.length; ++i) {\n typeMap.get(typeList[i]).index = i;\n }\n }\n\n /**\n * Removes all types and conversions from this typed instance.\n * May cause previously constructed typed-functions to throw\n * strange errors when they are called with types that do not\n * match any of their signatures.\n */\n function clear () {\n typeMap = new Map();\n typeList = [];\n nConversions = 0;\n addTypes([anyType], false);\n }\n\n // initialize the types to the default list\n clear();\n addTypes(_types);\n\n /**\n * Removes all conversions, leaving the types alone.\n */\n function clearConversions() {\n let typeName;\n for (typeName of typeList) {\n typeMap.get(typeName).conversionsTo = [];\n }\n nConversions = 0;\n }\n\n /**\n * Find the type names that match a value.\n * @param {*} value\n * @return {string[]} Array of names of types for which\n * the type test matches the value.\n */\n function findTypeNames(value) {\n const matches = typeList.filter(name => {\n const type = typeMap.get(name);\n return !type.isAny && type.test(value);\n });\n if (matches.length) {\n return matches;\n }\n return ['any'];\n }\n\n /**\n * Check if an entity is a typed function created by any instance\n * @param {any} entity\n * @returns {boolean}\n */\n function isTypedFunction(entity) {\n return entity && typeof entity === 'function' &&\n '_typedFunctionData' in entity;\n }\n\n /**\n * Find a specific signature from a (composed) typed function, for example:\n *\n * typed.findSignature(fn, ['number', 'string'])\n * typed.findSignature(fn, 'number, string')\n * typed.findSignature(fn, 'number,string', {exact: true})\n *\n * This function findSignature will by default return the best match to\n * the given signature, possibly employing type conversions.\n *\n * The (optional) third argument is a plain object giving options\n * controlling the signature search. Currently the only implemented\n * option is `exact`: if specified as true (default is false), only\n * exact matches will be returned (i.e. signatures for which `fn` was\n * directly defined). Note that a (possibly different) type matching\n * `any`, or one or more instances of TYPE matching `...TYPE` are\n * considered exact matches in this regard, as no conversions are used.\n *\n * This function returns a \"signature\" object, as does `typed.resolve()`,\n * which is a plain object with four keys: `params` (the array of parameters\n * for this signature), `fn` (the originally supplied function for this\n * signature), `test` (a generated function that determines if an argument\n * list matches this signature, and `implementation` (the function to call\n * on a matching argument list, that performs conversions if necessary and\n * then calls the originally supplied function).\n *\n * @param {Function} fn A typed-function\n * @param {string | string[]} signature\n * Signature to be found, can be an array or a comma separated string.\n * @param {object} options Controls the signature search as documented\n * @return {{ params: Param[], fn: function, test: function, implementation: function }}\n * Returns the matching signature, or throws an error when no signature\n * is found.\n */\n function findSignature (fn, signature, exactSpec) {\n if (!isTypedFunction(fn)) {\n throw new TypeError(NOT_TYPED_FUNCTION);\n }\n\n // Canonicalize input\n const exact = exactSpec && exactSpec.exact;\n const stringSignature = Array.isArray(signature)\n ? signature.join(',')\n : signature;\n const params = parseSignature(stringSignature);\n const canonicalSignature = stringifyParams(params);\n\n // First hope we get lucky and exactly match a signature\n if (!exact || canonicalSignature in fn.signatures) {\n // OK, we can check the internal signatures\n const match =\n fn._typedFunctionData.signatureMap.get(canonicalSignature);\n if (match) {\n return match;\n }\n }\n\n // Oh well, we did not; so we have to go back and check the parameters\n // one by one, in order to catch things like `any` and rest params.\n // Note here we can assume there is at least one parameter, because\n // the empty signature would have matched successfully above.\n const nParams = params.length;\n let remainingSignatures;\n if (exact) {\n remainingSignatures = []\n let name;\n for (name in fn.signatures) {\n remainingSignatures.push(fn._typedFunctionData.signatureMap.get(name))\n }\n } else {\n remainingSignatures = fn._typedFunctionData.signatures\n }\n for (var i = 0; i < nParams; ++i) {\n const want = params[i];\n const filteredSignatures = [];\n let possibility;\n for (possibility of remainingSignatures) {\n const have = getParamAtIndex(possibility.params, i);\n if (!have || (want.restParam && !have.restParam)) {\n continue;\n }\n if (!have.hasAny) {\n // have to check all of the wanted types are available\n const haveTypes = paramTypeSet(have);\n if (want.types.some(wtype => !haveTypes.has(wtype.name))) {\n continue;\n }\n }\n // OK, this looks good\n filteredSignatures.push(possibility);\n }\n remainingSignatures = filteredSignatures;\n if (remainingSignatures.length === 0) break;\n }\n // Return the first remaining signature that was totally matched:\n let candidate;\n for (candidate of remainingSignatures) {\n if (candidate.params.length <= nParams) {\n return candidate;\n }\n }\n\n throw new TypeError('Signature not found (signature: ' + (fn.name || 'unnamed') + '(' + stringifyParams(params, ', ') + '))');\n }\n\n /**\n * Find the proper function to call for a specific signature from\n * a (composed) typed function, for example:\n *\n * typed.find(fn, ['number', 'string'])\n * typed.find(fn, 'number, string')\n * typed.find(fn, 'number,string', {exact: true})\n *\n * This function find will by default return the best match to\n * the given signature, possibly employing type conversions (and returning\n * a function that will perform those conversions as needed). The\n * (optional) third argument is a plain object giving options contolling\n * the signature search. Currently only the option `exact` is implemented,\n * which defaults to \"false\". If `exact` is specified as true, then only\n * exact matches will be returned (i.e. signatures for which `fn` was\n * directly defined). Uses of `any` and `...TYPE` are considered exact if\n * no conversions are necessary to apply the corresponding function.\n *\n * @param {Function} fn A typed-function\n * @param {string | string[]} signature\n * Signature to be found, can be an array or a comma separated string.\n * @param {object} options Controls the signature match as documented\n * @return {function}\n * Returns the function to call for the given signature, or throws an\n * error if no match is found.\n */\n function find (fn, signature, exact) {\n return findSignature(fn, signature, exact).implementation;\n }\n\n /**\n * Convert a given value to another data type, specified by type name.\n *\n * @param {*} value\n * @param {string} type\n */\n function convert (value, typeName) {\n // check conversion is needed\n const type = findType(typeName);\n if (type.test(value)) {\n return value;\n }\n const conversions = type.conversionsTo;\n if (conversions.length === 0) {\n throw new Error(\n 'There are no conversions to ' + typeName + ' defined.');\n }\n for (var i = 0; i < conversions.length; i++) {\n const fromType = findType(conversions[i].from);\n if (fromType.test(value)) {\n return conversions[i].convert(value);\n }\n }\n\n throw new Error('Cannot convert ' + value + ' to ' + typeName);\n }\n\n /**\n * Stringify parameters in a normalized way\n * @param {Param[]} params\n * @param {string} [','] separator\n * @return {string}\n */\n function stringifyParams (params, separator = ',') {\n return params.map(p => p.name).join(separator);\n }\n\n /**\n * Parse a parameter, like \"...number | boolean\"\n * @param {string} param\n * @return {Param} param\n */\n function parseParam (param) {\n const restParam = param.indexOf('...') === 0;\n const types = (!restParam)\n ? param\n : (param.length > 3)\n ? param.slice(3)\n : 'any';\n\n const typeDefs = types.split('|').map(s => findType(s.trim()))\n\n let hasAny = false;\n let paramName = restParam ? '...' : '';\n\n const exactTypes = typeDefs.map(function (type) {\n hasAny = type.isAny || hasAny;\n paramName += type.name + '|'\n\n return {\n name: type.name,\n typeIndex: type.index,\n test: type.test,\n isAny: type.isAny,\n conversion: null,\n conversionIndex: -1\n };\n });\n\n return {\n types: exactTypes,\n name: paramName.slice(0, -1), // remove trailing '|' from above\n hasAny: hasAny,\n hasConversion: false,\n restParam: restParam\n };\n }\n\n /**\n * Expands a parsed parameter with the types available from currently\n * defined conversions.\n * @param {Param} param\n * @return {Param} param\n */\n function expandParam (param) {\n const typeNames = param.types.map(t => t.name);\n const matchingConversions = availableConversions(typeNames);\n let hasAny = param.hasAny;\n let newName = param.name;\n\n const convertibleTypes = matchingConversions.map(function (conversion) {\n const type = findType(conversion.from);\n hasAny = type.isAny || hasAny;\n newName += '|' + conversion.from;\n\n return {\n name: conversion.from,\n typeIndex: type.index,\n test: type.test,\n isAny: type.isAny,\n conversion: conversion,\n conversionIndex: conversion.index\n };\n });\n\n return {\n types: param.types.concat(convertibleTypes),\n name: newName,\n hasAny: hasAny,\n hasConversion: convertibleTypes.length > 0,\n restParam: param.restParam\n };\n }\n\n /**\n * Return the set of type names in a parameter.\n * Caches the result for efficiency\n *\n * @param {Param} param\n * @return {Set} typenames\n */\n function paramTypeSet (param) {\n if (!param.typeSet) {\n param.typeSet = new Set();\n param.types.forEach(type => param.typeSet.add(type.name));\n }\n return param.typeSet;\n }\n\n /**\n * Parse a signature with comma separated parameters,\n * like \"number | boolean, ...string\"\n *\n * @param {string} signature\n * @return {Param[]} params\n */\n function parseSignature (rawSignature) {\n const params = [];\n if (typeof rawSignature !== 'string') {\n throw new TypeError('Signatures must be strings');\n }\n const signature = rawSignature.trim()\n if (signature === '') {\n return params;\n }\n\n const rawParams = signature.split(',');\n for (var i = 0; i < rawParams.length; ++i) {\n const parsedParam = parseParam(rawParams[i].trim());\n if (parsedParam.restParam && (i !== rawParams.length - 1)) {\n throw new SyntaxError(\n 'Unexpected rest parameter \"' + rawParams[i] + '\": ' +\n 'only allowed for the last parameter');\n }\n // if invalid, short-circuit (all of the types may have been filtered)\n if (parsedParam.types.length == 0) {\n return null;\n }\n params.push(parsedParam);\n }\n\n return params;\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 function hasRestParam(params) {\n const param = last(params);\n return param ? param.restParam : false;\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 function compileTest(param) {\n if (!param || param.types.length === 0) {\n // nothing to do\n return ok;\n }\n else if (param.types.length === 1) {\n return findType(param.types[0].name).test;\n }\n else if (param.types.length === 2) {\n const test0 = findType(param.types[0].name).test;\n const test1 = findType(param.types[1].name).test;\n return function or(x) {\n return test0(x) || test1(x);\n }\n }\n else { // param.types.length > 2\n const tests = param.types.map(function (type) {\n return findType(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 return false;\n }\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 function compileTests(params) {\n let tests, test0, test1;\n\n if (hasRestParam(params)) {\n // variable arguments like '...number'\n tests = initial(params).map(compileTest);\n const varIndex = tests.length;\n const lastTest = compileTest(last(params));\n const testRestParam = function (args) {\n for (var i = varIndex; i < args.length; i++) {\n if (!lastTest(args[i])) {\n return false;\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 return testRestParam(args) && (args.length >= varIndex + 1);\n };\n }\n else {\n // no variable arguments\n if (params.length === 0) {\n return function testArgs(args) {\n return args.length === 0;\n };\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 }\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 }\n else { // 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 return args.length === tests.length;\n };\n }\n }\n }\n\n /**\n * Find the parameter at a specific index of a Params list.\n * Handles rest parameters.\n * @param {Param[]} params\n * @param {number} index\n * @return {Param | null} Returns the matching parameter when found,\n * null otherwise.\n */\n function getParamAtIndex(params, index) {\n return index < params.length\n ? params[index]\n : hasRestParam(params) ? last(params) : null\n }\n\n /**\n * Get all type names of a parameter\n * @param {Params[]} params\n * @param {number} index\n * @return {string[]} Returns an array with type names\n */\n function getTypeSetAtIndex (params, index) {\n const param = getParamAtIndex(params, index);\n if (!param) {\n return new Set();\n }\n return paramTypeSet(param);\n }\n\n /**\n * Returns the name of a type\n * @param {Type} type\n * @return {string} Returns the type name\n */\n function getTypeName(type) {\n return type.name;\n }\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 function isExactType(type) {\n return type.conversion === null || type.conversion === undefined;\n }\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 function mergeExpectedParams(signatures, index) {\n const typeSet = new Set();\n signatures.forEach(signature => {\n const paramSet = getTypeSetAtIndex(signature.params, index);\n let name;\n for (name of paramSet) {\n typeSet.add(name);\n }\n });\n\n return typeSet.has('any') ? ['any'] : Array.from(typeSet);\n }\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 function createError(name, args, signatures) {\n let err, expected;\n const _name = name || 'unnamed';\n\n // test for wrong type at some index\n let matchingSignatures = signatures;\n for (var index = 0; index < args.length; index++) {\n const nextMatchingDefs = [];\n matchingSignatures.forEach(signature => {\n const param = getParamAtIndex(signature.params, index);\n const test = compileTest(param);\n if ((index < signature.params.length\n || hasRestParam(signature.params)) &&\n test(args[index])) {\n nextMatchingDefs.push(signature);\n }\n });\n\n if (nextMatchingDefs.length === 0) {\n // no matching signatures anymore, throw error \"wrong type\"\n expected = mergeExpectedParams(matchingSignatures, index);\n if (expected.length > 0) {\n const actualTypes = findTypeNames(args[index]);\n\n err = new TypeError('Unexpected type of argument in function ' + _name +\n ' (expected: ' + expected.join(' or ') +\n ', actual: ' + actualTypes.join(' | ') + ', index: ' + index + ')');\n err.data = {\n category: 'wrongType',\n fn: _name,\n index: index,\n actual: actualTypes,\n expected: expected\n }\n return err;\n }\n }\n else {\n matchingSignatures = nextMatchingDefs;\n }\n }\n\n // test for too few arguments\n const lengths = matchingSignatures.map(function (signature) {\n return hasRestParam(signature.params)\n ? Infinity\n : signature.params.length;\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 +\n ' (expected: ' + expected.join(' or ') +\n ', index: ' + args.length + ')');\n err.data = {\n category: 'tooFewArgs',\n fn: _name,\n index: args.length,\n expected: expected\n }\n return err;\n }\n\n // test for too many arguments\n const maxLength = Math.max.apply(null, lengths);\n if (args.length > maxLength) {\n err = new TypeError('Too many arguments in function ' + _name +\n ' (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 // Generic error\n const argTypes = [];\n for (var i = 0; i < args.length; ++i) {\n argTypes.push(findTypeNames(args[i]).join('|'))\n }\n err = new TypeError('Arguments of type \"' + argTypes.join(', ') +\n '\" do not match any of the defined signatures of function ' + _name + '.');\n err.data = {\n category: 'mismatch',\n actual: argTypes\n }\n return err;\n }\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 function getLowestTypeIndex (param) {\n let min = typeList.length + 1;\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 /**\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 function getLowestConversionIndex (param) {\n let min = nConversions + 1;\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 /**\n * Compare two params\n * @param {Param} param1\n * @param {Param} param2\n * @return {number} returns -1 when param1 must get a lower\n * index than param2, 1 when the opposite,\n * or zero when both are equal\n */\n function compareParams (param1, param2) {\n // We compare a number of metrics on a param in turn:\n // 1) 'any' parameters are the least preferred\n if (param1.hasAny) {\n if (!param2.hasAny) {\n return 1;\n }\n }\n else if (param2.hasAny) {\n return -1;\n }\n\n // 2) Prefer non-rest to rest parameters\n if (param1.restParam) {\n if (!param2.restParam) {\n return 1;\n }\n } else if (param2.restParam) {\n return -1;\n }\n\n // 3) Prefer exact type match to conversions\n if (param1.hasConversion) {\n if (!param2.hasConversion) {\n return 1;\n }\n } else if (param2.hasConversion) {\n return -1;\n }\n\n // 4) Prefer lower type index:\n const typeDiff = getLowestTypeIndex(param1) - getLowestTypeIndex(param2)\n if (typeDiff < 0) {\n return -1;\n }\n if (typeDiff > 0) {\n return 1;\n }\n\n // 5) Prefer lower conversion index\n const convDiff =\n getLowestConversionIndex(param1) - getLowestConversionIndex(param2)\n if (convDiff < 0) {\n return -1;\n }\n if (convDiff > 0) {\n return 1;\n }\n\n // Don't have a basis for preference\n return 0;\n }\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 function compareSignatures (signature1, signature2) {\n const pars1 = signature1.params\n const pars2 = signature2.params\n const last1 = last(pars1)\n const last2 = last(pars2)\n const hasRest1 = hasRestParam(pars1)\n const hasRest2 = hasRestParam(pars2)\n // We compare a number of metrics on signatures in turn:\n // 1) An \"any rest param\" is least preferred\n if (hasRest1 && last1.hasAny) {\n if (!hasRest2 || !last2.hasAny) {\n return 1;\n }\n } else if (hasRest2 && last2.hasAny) {\n return -1;\n }\n\n // 2) Minimize the number of 'any' parameters\n let any1 = 0;\n let conv1 = 0;\n let par;\n for (par of pars1) {\n if (par.hasAny) ++any1;\n if (par.hasConversion) ++conv1;\n }\n let any2 = 0;\n let conv2 = 0;\n for (par of pars2) {\n if (par.hasAny) ++any2;\n if (par.hasConversion) ++conv2;\n }\n if (any1 !== any2) {\n return any1 - any2;\n }\n\n // 3) A conversion rest param is less preferred\n if (hasRest1 && last1.hasConversion) {\n if (!hasRest2 || !last2.hasConversion) {\n return 1;\n }\n } else if (hasRest2 && last2.hasConversion) {\n return -1;\n }\n\n // 4) Minimize the number of conversions\n if (conv1 !== conv2) {\n return conv1 - conv2;\n }\n\n // 5) Prefer no rest param\n if (hasRest1) {\n if (!hasRest2) {\n return 1;\n }\n } else if (hasRest2) {\n return -1;\n }\n\n // 6) Prefer shorter with rest param, longer without\n const lengthCriterion =\n (pars1.length - pars2.length) * (hasRest1 ? -1 : 1)\n if (lengthCriterion !== 0) {\n return lengthCriterion;\n }\n\n // Signatures are identical in each of the above metrics.\n // In particular, they are the same length.\n // We can therefore compare the parameters one by one.\n // First we count which signature has more preferred parameters.\n const comparisons = [];\n let tc = 0;\n for (let i = 0; i < pars1.length; ++i) {\n const thisComparison = compareParams(pars1[i], pars2[i])\n comparisons.push(thisComparison)\n tc += thisComparison\n }\n if (tc !== 0) {\n return tc;\n }\n\n // They have the same number of preferred parameters, so go by the\n // earliest parameter in which we have a preference.\n // In other words, dispatch is driven somewhat more by earlier\n // parameters than later ones.\n let c;\n for (c of comparisons) {\n if (c !== 0) {\n return c;\n }\n }\n\n // It's a tossup:\n return 0;\n }\n\n /**\n * Produce a list of all conversions from distinct types to one of\n * the given types.\n *\n * @param {string[]} typeNames\n * @return {ConversionDef[]} Returns the conversions that are available\n * resulting in any given type (if any)\n */\n function availableConversions(typeNames) {\n if (typeNames.length === 0) {\n return [];\n }\n const types = typeNames.map(findType);\n if (typeNames.length > 1) {\n types.sort((t1, t2) => t1.index - t2.index);\n }\n let matches = types[0].conversionsTo;\n if (typeNames.length === 1) {\n return matches;\n }\n\n matches = matches.concat([]) // shallow copy the matches\n // Since the types are now in index order, we just want the first\n // occurrence of any from type:\n const knownTypes = new Set(typeNames);\n for (var i = 1; i < types.length; ++i) {\n let newMatch;\n for (newMatch of types[i].conversionsTo) {\n if (!knownTypes.has(newMatch.from)) {\n matches.push(newMatch);\n knownTypes.add(newMatch.from);\n }\n }\n }\n\n return matches;\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 function compileArgsPreprocessing(params, fn) {\n let fnConvert = fn;\n\n // TODO: can we make this wrapper function smarter/simpler?\n\n if (params.some(p => p.hasConversion)) {\n const restParam = hasRestParam(params);\n const compiledConversions = params.map(compileArgConversion);\n\n fnConvert = function convertArgs() {\n const args = [];\n const last = restParam ? arguments.length - 1 : arguments.length;\n for (var i = 0; i < last; i++) {\n args[i] = compiledConversions[i](arguments[i]);\n }\n if (restParam) {\n args[last] = arguments[last].map(compiledConversions[last]);\n }\n\n return fn.apply(this, args);\n }\n }\n\n let fnPreprocess = fnConvert;\n if (hasRestParam(params)) {\n const offset = params.length - 1;\n\n fnPreprocess = function preprocessRestParams () {\n return fnConvert.apply(this,\n slice(arguments, 0, offset).concat([slice(arguments, offset)]));\n }\n }\n\n return fnPreprocess;\n }\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 function compileArgConversion(param) {\n let test0, test1, conversion0, conversion1;\n const tests = [];\n const conversions = [];\n\n param.types.forEach(function (type) {\n if (type.conversion) {\n tests.push(findType(type.conversion.from).test);\n conversions.push(type.conversion.convert);\n }\n });\n\n // create optimized conversion functions depending on the number of conversions\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 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 if (test1(arg)) {\n return conversion1(arg)\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 return arg;\n }\n }\n }\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 * @return {Param[]}\n */\n function splitParams(params) {\n function _splitParams(params, index, paramsSoFar) {\n if (index < params.length) {\n const param = params[index];\n let resultingParams = [];\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 const exactTypes = param.types.filter(isExactType);\n if (exactTypes.length < param.types.length) {\n resultingParams.push({\n types: exactTypes,\n name: '...' + exactTypes.map(t => t.name).join('|'),\n hasAny: exactTypes.some(t => t.isAny),\n hasConversion: false,\n restParam: true\n })\n }\n resultingParams.push(param);\n }\n else {\n // split all the types of a regular parameter into one type per param\n resultingParams = param.types.map(function (type) {\n return {\n types: [type],\n name: type.name,\n hasAny: type.isAny,\n hasConversion: type.conversion,\n restParam: false\n }\n })\n }\n\n // recurse over the groups with types\n return flatMap(resultingParams, function (nextParam) {\n return _splitParams(params, index + 1, paramsSoFar.concat([nextParam]));\n });\n\n }\n else {\n // we've reached the end of the parameters.\n return [paramsSoFar];\n }\n }\n\n return _splitParams(params, 0, []);\n }\n\n /**\n * Test whether two param lists represent conflicting signatures\n * @param {Param[]} params1\n * @param {Param[]} params2\n * @return {boolean} Returns true when the signatures conflict, false otherwise.\n */\n function conflicting(params1, params2) {\n const ii = Math.max(params1.length, params2.length);\n\n for (var i = 0; i < ii; i++) {\n const typeSet1 = getTypeSetAtIndex(params1, i);\n const typeSet2 = getTypeSetAtIndex(params2, i);\n let overlap = false;\n let name;\n for (name of typeSet2) {\n if (typeSet1.has(name)) {\n overlap = true;\n break;\n }\n }\n if (!overlap) {\n return false;\n }\n }\n\n const len1 = params1.length;\n const len2 = params2.length;\n const restParam1 = hasRestParam(params1);\n const restParam2 = hasRestParam(params2);\n\n return restParam1\n ? restParam2 ? (len1 === len2) : (len2 >= len1)\n : restParam2 ? (len1 >= len2) : (len1 === len2)\n }\n\n /**\n * Helper function for `resolveReferences` that returns a copy of\n * functionList wihe any prior resolutions cleared out, in case we are\n * recycling signatures from a prior typed function construction.\n *\n * @param {Array.} functionList\n * @return {Array.}\n */\n function clearResolutions(functionList) {\n return functionList.map(fn => {\n if (isReferToSelf(fn)) {\n return referToSelf(fn.referToSelf.callback);\n }\n if (isReferTo(fn)) {\n return makeReferTo(fn.referTo.references, fn.referTo.callback);\n }\n return fn;\n });\n }\n\n /**\n * Take a list of references, a list of functions functionList, and a\n * signatureMap indexing signatures into functionList, and return\n * the list of resolutions, or a false-y value if they don't all\n * resolve in a valid way (yet).\n *\n * @param {string[]} references\n * @param {Array} signatureMap\n * @return {function[] | false} resolutions\n */\n function collectResolutions(references, functionList, signatureMap) {\n const resolvedReferences = []\n let reference;\n for (reference of references) {\n let resolution = signatureMap[reference];\n if (typeof resolution !== 'number') {\n throw new TypeError(\n 'No definition for referenced signature \"' + reference + '\"');\n }\n resolution = functionList[resolution];\n if (typeof resolution !== 'function') {\n return false;\n }\n resolvedReferences.push(resolution);\n }\n return resolvedReferences;\n }\n\n /**\n * Resolve any references in the functionList for the typed function\n * itself. The signatureMap tells which index in the functionList a\n * given signature should be mapped to (for use in resolving typed.referTo)\n * and self provides the destions of a typed.referToSelf.\n *\n * @param {Array} functionList\n * @param {Object.} signatureMap\n * @param {function} self The typed-function itself\n * @return {Array} The list of resolved functions\n */\n function resolveReferences(functionList, signatureMap, self) {\n let resolvedFunctions = clearResolutions(functionList);\n let isResolved = new Array(resolvedFunctions.length).fill(false);\n let leftUnresolved = true;\n while (leftUnresolved) {\n leftUnresolved = false;\n let nothingResolved = true;\n for (var i = 0; i < resolvedFunctions.length; ++i) {\n if (isResolved[i]) continue;\n const fn = resolvedFunctions[i];\n\n if (isReferToSelf(fn)) {\n resolvedFunctions[i] = fn.referToSelf.callback(self);\n // Preserve reference in case signature is reused someday:\n resolvedFunctions[i].referToSelf = fn.referToSelf;\n isResolved[i] = true;\n nothingResolved = false;\n } else if (isReferTo(fn)) {\n const resolvedReferences = collectResolutions(\n fn.referTo.references, resolvedFunctions, signatureMap);\n if (resolvedReferences) {\n resolvedFunctions[i] =\n fn.referTo.callback.apply(this, resolvedReferences);\n // Preserve reference in case signature is reused someday:\n resolvedFunctions[i].referTo = fn.referTo;\n isResolved[i] = true;\n nothingResolved = false;\n } else {\n leftUnresolved = true;\n }\n }\n }\n\n if (nothingResolved && leftUnresolved) {\n throw new SyntaxError(\n 'Circular reference detected in resolving typed.referTo');\n }\n }\n\n return resolvedFunctions;\n }\n\n /**\n * Validate whether any of the function bodies contains a self-reference\n * usage like `this(...)` or `this.signatures`. This self-referencing is\n * deprecated since typed-function v3. It has been replaced with\n * the functions typed.referTo and typed.referToSelf.\n * @param {Object.} signaturesMap\n */\n function validateDeprecatedThis(signaturesMap) {\n // TODO: remove this deprecation warning logic some day (it's introduced in v3)\n\n // match occurrences like 'this(' and 'this.signatures'\n var deprecatedThisRegex = /\\bthis(\\(|\\.signatures\\b)/;\n\n Object.keys(signaturesMap).forEach(signature => {\n var fn = signaturesMap[signature];\n\n if (deprecatedThisRegex.test(fn.toString())) {\n throw new SyntaxError('Using `this` to self-reference a function ' +\n 'is deprecated since typed-function@3. ' +\n 'Use typed.referTo and typed.referToSelf instead.');\n }\n });\n }\n\n /**\n * Create a typed function\n * @param {String} name The name for the typed function\n * @param {Object.} 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 function createTypedFunction(name, rawSignaturesMap) {\n typed.createCount++\n\n if (Object.keys(rawSignaturesMap).length === 0) {\n throw new SyntaxError('No signatures provided');\n }\n\n if (typed.warnAgainstDeprecatedThis) {\n validateDeprecatedThis(rawSignaturesMap);\n }\n\n // Main processing loop for signatures\n const parsedParams = [];\n const originalFunctions = [];\n const signaturesMap = {};\n const preliminarySignatures = [] // may have duplicates from conversions\n let signature;\n for (signature in rawSignaturesMap) {\n // A) Protect against polluted Object prototype:\n if (!Object.prototype.hasOwnProperty.call(rawSignaturesMap, signature)) {\n continue;\n }\n // B) Parse the signature\n const params = parseSignature(signature);\n if (!params) continue;\n // C) Check for conflicts\n parsedParams.forEach(function (pp) {\n if (conflicting(pp, params)) {\n throw new TypeError('Conflicting signatures \"' +\n stringifyParams(pp) + '\" and \"' +\n stringifyParams(params) + '\".');\n }\n })\n parsedParams.push(params)\n // D) Store the provided function and add conversions\n const functionIndex = originalFunctions.length;\n originalFunctions.push(rawSignaturesMap[signature])\n const conversionParams = params.map(expandParam)\n // E) Split the signatures and collect them up\n let sp;\n for (sp of splitParams(conversionParams)) {\n const spName = stringifyParams(sp);\n preliminarySignatures.push(\n {params: sp, name: spName, fn: functionIndex});\n if (sp.every(p => !p.hasConversion)) {\n signaturesMap[spName] = functionIndex;\n }\n }\n }\n\n preliminarySignatures.sort(compareSignatures);\n\n // Note the forward reference to the_typed_fn\n const resolvedFunctions =\n resolveReferences(originalFunctions, signaturesMap, the_typed_fn);\n\n // Fill in the proper function for each signature\n let s;\n for (s in signaturesMap) {\n if (Object.prototype.hasOwnProperty.call(signaturesMap, s)) {\n signaturesMap[s] = resolvedFunctions[signaturesMap[s]]\n }\n }\n const signatures = []\n const internalSignatureMap = new Map() // benchmarks faster than object\n for (s of preliminarySignatures) {\n // Note it's only safe to eliminate duplicates like this\n // _after_ the signature sorting step above; otherwise we might\n // remove the wrong one.\n if (!internalSignatureMap.has(s.name)) {\n s.fn = resolvedFunctions[s.fn]\n signatures.push(s)\n internalSignatureMap.set(s.name, s)\n }\n }\n\n // we create a highly optimized checks for the first couple of signatures with max 2 arguments\n const ok0 = signatures[0] && signatures[0].params.length <= 2 && !hasRestParam(signatures[0].params);\n const ok1 = signatures[1] && signatures[1].params.length <= 2 && !hasRestParam(signatures[1].params);\n const ok2 = signatures[2] && signatures[2].params.length <= 2 && !hasRestParam(signatures[2].params);\n const ok3 = signatures[3] && signatures[3].params.length <= 2 && !hasRestParam(signatures[3].params);\n const ok4 = signatures[4] && signatures[4].params.length <= 2 && !hasRestParam(signatures[4].params);\n const ok5 = signatures[5] && signatures[5].params.length <= 2 && !hasRestParam(signatures[5].params);\n const allOk = ok0 && ok1 && ok2 && ok3 && ok4 && ok5;\n\n // compile the tests\n for (var i = 0; i < signatures.length; ++i) {\n signatures[i].test = compileTests(signatures[i].params);\n }\n\n const test00 = ok0 ? compileTest(signatures[0].params[0]) : notOk;\n const test10 = ok1 ? compileTest(signatures[1].params[0]) : notOk;\n const test20 = ok2 ? compileTest(signatures[2].params[0]) : notOk;\n const test30 = ok3 ? compileTest(signatures[3].params[0]) : notOk;\n const test40 = ok4 ? compileTest(signatures[4].params[0]) : notOk;\n const test50 = ok5 ? compileTest(signatures[5].params[0]) : notOk;\n\n const test01 = ok0 ? compileTest(signatures[0].params[1]) : notOk;\n const test11 = ok1 ? compileTest(signatures[1].params[1]) : notOk;\n const test21 = ok2 ? compileTest(signatures[2].params[1]) : notOk;\n const test31 = ok3 ? compileTest(signatures[3].params[1]) : notOk;\n const test41 = ok4 ? compileTest(signatures[4].params[1]) : notOk;\n const test51 = ok5 ? compileTest(signatures[5].params[1]) : notOk;\n\n // compile the functions\n for (var i = 0; i < signatures.length; ++i) {\n signatures[i].implementation =\n compileArgsPreprocessing(signatures[i].params, signatures[i].fn);\n }\n\n const fn0 = ok0 ? signatures[0].implementation : undef;\n const fn1 = ok1 ? signatures[1].implementation : undef;\n const fn2 = ok2 ? signatures[2].implementation : undef;\n const fn3 = ok3 ? signatures[3].implementation : undef;\n const fn4 = ok4 ? signatures[4].implementation : undef;\n const fn5 = ok5 ? signatures[5].implementation : undef;\n\n const len0 = ok0 ? signatures[0].params.length : -1;\n const len1 = ok1 ? signatures[1].params.length : -1;\n const len2 = ok2 ? signatures[2].params.length : -1;\n const len3 = ok3 ? signatures[3].params.length : -1;\n const len4 = ok4 ? signatures[4].params.length : -1;\n const len5 = ok5 ? signatures[5].params.length : -1;\n\n // simple and generic, but also slow\n const iStart = allOk ? 6 : 0;\n const iEnd = signatures.length;\n // de-reference ahead for execution speed:\n const tests = signatures.map(s => s.test)\n const fns = signatures.map(s => s.implementation)\n const 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(this, arguments);\n }\n }\n\n return typed.onMismatch(name, arguments, signatures);\n }\n\n // create the typed function\n // fast, specialized version. Falls back to the slower, generic one if needed\n function the_typed_fn (arg0, arg1) {\n 'use strict';\n\n if (arguments.length === len0 && test00(arg0) && test01(arg1)) { return fn0.apply(this, arguments); }\n if (arguments.length === len1 && test10(arg0) && test11(arg1)) { return fn1.apply(this, arguments); }\n if (arguments.length === len2 && test20(arg0) && test21(arg1)) { return fn2.apply(this, arguments); }\n if (arguments.length === len3 && test30(arg0) && test31(arg1)) { return fn3.apply(this, arguments); }\n if (arguments.length === len4 && test40(arg0) && test41(arg1)) { return fn4.apply(this, arguments); }\n if (arguments.length === len5 && test50(arg0) && test51(arg1)) { return fn5.apply(this, arguments); }\n\n return generic.apply(this, arguments);\n }\n\n // attach name the typed function\n try {\n Object.defineProperty(the_typed_fn, 'name', {value: name});\n }\n catch (err) {\n // 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 }\n\n // attach signatures to the function.\n // This property is close to the original collection of signatures\n // used to create the typed-function, just with unions split:\n the_typed_fn.signatures = signaturesMap;\n\n // Store internal data for functions like resolve, find, etc.\n // Also serves as the flag that this is a typed-function\n the_typed_fn._typedFunctionData = {\n signatures: signatures,\n signatureMap: internalSignatureMap\n };\n\n return the_typed_fn;\n }\n\n /**\n * Action to take on mismatch\n * @param {string} name Name of function that was attempted to be called\n * @param {Array} args Actual arguments to the call\n * @param {Array} signatures Known signatures of the named typed-function\n */\n function _onMismatch(name, args, signatures) {\n throw createError(name, args, signatures);\n }\n\n /**\n * Return all but the last items of an array or function Arguments\n * @param {Array | Arguments} arr\n * @return {Array}\n */\n function initial(arr) {\n return slice(arr, 0, arr.length - 1);\n }\n\n /**\n * return the last item of an array or function Arguments\n * @param {Array | Arguments} arr\n * @return {*}\n */\n function last(arr) {\n return arr[arr.length - 1];\n }\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 function slice(arr, start, end) {\n return Array.prototype.slice.call(arr, start, end);\n }\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 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 return undefined;\n }\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 function flatMap(arr, callback) {\n return Array.prototype.concat.apply([], arr.map(callback));\n }\n\n /**\n * Create a reference callback to one or multiple signatures\n *\n * Syntax:\n *\n * typed.referTo(signature1, signature2, ..., function callback(fn1, fn2, ...) {\n * // ...\n * })\n *\n * @returns {{referTo: {references: string[], callback}}}\n */\n function referTo() {\n let references =\n initial(arguments).map(s => stringifyParams(parseSignature(s)));\n const callback = last(arguments);\n\n if (typeof callback !== 'function') {\n throw new TypeError('Callback function expected as last argument');\n }\n\n return makeReferTo(references, callback)\n }\n\n function makeReferTo(references, callback) {\n return { referTo: { references: references, callback: callback } }\n }\n\n /**\n * Create a reference callback to the typed-function itself\n *\n * @param {(self: function) => function} callback\n * @returns {{referToSelf: { callback: function }}}\n */\n function referToSelf(callback) {\n if (typeof callback !== 'function') {\n throw new TypeError('Callback function expected as first argument');\n }\n\n return { referToSelf: { callback: callback } };\n }\n\n /**\n * Test whether something is a referTo object, holding a list with reference\n * signatures and a callback.\n *\n * @param {Object | function} objectOrFn\n * @returns {boolean}\n */\n function isReferTo(objectOrFn) {\n return objectOrFn &&\n typeof objectOrFn.referTo === 'object' &&\n Array.isArray(objectOrFn.referTo.references) &&\n typeof objectOrFn.referTo.callback === 'function';\n }\n\n /**\n * Test whether something is a referToSelf object, holding a callback where\n * to pass `self`.\n *\n * @param {Object | function} objectOrFn\n * @returns {boolean}\n */\n function isReferToSelf(objectOrFn) {\n return objectOrFn &&\n typeof objectOrFn.referToSelf === 'object' &&\n typeof objectOrFn.referToSelf.callback === 'function';\n }\n\n /**\n * Check if name is (A) new, (B) a match, or (C) a mismatch; and throw\n * an error in case (C).\n *\n * @param { string | undefined } nameSoFar\n * @param { string | undefined } newName\n * @returns { string } updated name\n */\n function checkName (nameSoFar, newName) {\n if (!nameSoFar) {\n return newName;\n }\n if (newName && newName != nameSoFar) {\n const err = new Error('Function names do not match (expected: ' +\n nameSoFar + ', actual: ' + newName + ')');\n err.data = { actual: newName, expected: nameSoFar };\n throw err;\n }\n return nameSoFar;\n }\n\n /**\n * Retrieve the implied name from an object with signature keys\n * and function values, checking whether all value names match\n *\n * @param { {string: function} } obj\n */\n function getObjectName (obj) {\n let name\n for (let key in obj) {\n // Only pay attention to own properties, and only if their values\n // are typed functions or functions with a signature property\n if (obj.hasOwnProperty(key) &&\n (isTypedFunction(obj[key]) ||\n typeof obj[key].signature === 'string')) {\n name = checkName(name, obj[key].name)\n }\n }\n return name\n }\n\n /**\n * Copy all of the signatures from the second argument into the first,\n * which is modified by side effect, checking for conflicts\n *\n * @param {Object. (c.from === conversion.from))\n if (!existingConversion) {\n throw new Error(\n 'Attempt to remove nonexistent conversion from ' + conversion.from +\n ' to ' + conversion.to);\n }\n if (existingConversion.convert !== conversion.convert) {\n throw new Error(\n 'Conversion to remove does not match existing conversion');\n }\n const index = to.conversionsTo.indexOf(existingConversion);\n to.conversionsTo.splice(index, 1);\n }\n\n /**\n * Produce the specific signature that a typed function\n * will execute on the given arguments. Here, a \"signature\" is an\n * object with properties 'params', 'test', 'fn', and 'implementation'.\n * This last property is a function that converts params as necessary\n * and then calls 'fn'. Returns null if there is no matching signature.\n * @param {typed-function} tf\n * @param {any[]} argList\n * @returns {{params: string, test: function, fn: function, implementation: function}}\n */\n typed.resolve = function (tf, argList) {\n if (!isTypedFunction(tf)) {\n throw new TypeError(NOT_TYPED_FUNCTION);\n }\n const sigs = tf._typedFunctionData.signatures;\n for (var i = 0; i < sigs.length; ++i) {\n if (sigs[i].test(argList)) {\n return sigs[i];\n }\n }\n return null;\n }\n\n return typed;\n }\n\n return create();\n}));\n","// The module cache\nvar __webpack_module_cache__ = {};\n\n// The require function\nfunction __webpack_require__(moduleId) {\n\t// Check if module is in cache\n\tvar cachedModule = __webpack_module_cache__[moduleId];\n\tif (cachedModule !== undefined) {\n\t\treturn cachedModule.exports;\n\t}\n\t// Create a new module (and put it into the cache)\n\tvar module = __webpack_module_cache__[moduleId] = {\n\t\tid: moduleId,\n\t\tloaded: false,\n\t\texports: {}\n\t};\n\n\t// Execute the module function\n\t__webpack_modules__[moduleId].call(module.exports, module, module.exports, __webpack_require__);\n\n\t// Flag the module as loaded\n\tmodule.loaded = true;\n\n\t// Return the exports of the module\n\treturn module.exports;\n}\n\n","__webpack_require__.amdD = function () {\n\tthrow new Error('define cannot be used indirect');\n};","__webpack_require__.amdO = {};","// getDefaultExport function for compatibility with non-harmony modules\n__webpack_require__.n = (module) => {\n\tvar getter = module && module.__esModule ?\n\t\t() => (module['default']) :\n\t\t() => (module);\n\t__webpack_require__.d(getter, { a: getter });\n\treturn getter;\n};","// define getter functions for harmony exports\n__webpack_require__.d = (exports, definition) => {\n\tfor(var key in definition) {\n\t\tif(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) {\n\t\t\tObject.defineProperty(exports, key, { enumerable: true, get: definition[key] });\n\t\t}\n\t}\n};","__webpack_require__.g = (function() {\n\tif (typeof globalThis === 'object') return globalThis;\n\ttry {\n\t\treturn this || new Function('return this')();\n\t} catch (e) {\n\t\tif (typeof window === 'object') return window;\n\t}\n})();","__webpack_require__.o = (obj, prop) => (Object.prototype.hasOwnProperty.call(obj, prop))","// define __esModule on exports\n__webpack_require__.r = (exports) => {\n\tif(typeof Symbol !== 'undefined' && Symbol.toStringTag) {\n\t\tObject.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });\n\t}\n\tObject.defineProperty(exports, '__esModule', { value: true });\n};","__webpack_require__.nmd = (module) => {\n\tmodule.paths = [];\n\tif (!module.children) module.children = [];\n\treturn module;\n};","// packages/alpinejs/src/scheduler.js\nvar flushPending = false;\nvar flushing = false;\nvar queue = [];\nvar lastFlushedIndex = -1;\nfunction scheduler(callback) {\n queueJob(callback);\n}\nfunction queueJob(job) {\n if (!queue.includes(job))\n queue.push(job);\n queueFlush();\n}\nfunction dequeueJob(job) {\n let index = queue.indexOf(job);\n if (index !== -1 && index > lastFlushedIndex)\n queue.splice(index, 1);\n}\nfunction queueFlush() {\n if (!flushing && !flushPending) {\n flushPending = true;\n queueMicrotask(flushJobs);\n }\n}\nfunction flushJobs() {\n flushPending = false;\n flushing = true;\n for (let i = 0; i < queue.length; i++) {\n queue[i]();\n lastFlushedIndex = i;\n }\n queue.length = 0;\n lastFlushedIndex = -1;\n flushing = false;\n}\n\n// packages/alpinejs/src/reactivity.js\nvar reactive;\nvar effect;\nvar release;\nvar raw;\nvar shouldSchedule = true;\nfunction disableEffectScheduling(callback) {\n shouldSchedule = false;\n callback();\n shouldSchedule = true;\n}\nfunction setReactivityEngine(engine) {\n reactive = engine.reactive;\n release = engine.release;\n effect = (callback) => engine.effect(callback, { scheduler: (task) => {\n if (shouldSchedule) {\n scheduler(task);\n } else {\n task();\n }\n } });\n raw = engine.raw;\n}\nfunction overrideEffect(override) {\n effect = override;\n}\nfunction elementBoundEffect(el) {\n let cleanup2 = () => {\n };\n let wrappedEffect = (callback) => {\n let effectReference = effect(callback);\n if (!el._x_effects) {\n el._x_effects = /* @__PURE__ */ new Set();\n el._x_runEffects = () => {\n el._x_effects.forEach((i) => i());\n };\n }\n el._x_effects.add(effectReference);\n cleanup2 = () => {\n if (effectReference === void 0)\n return;\n el._x_effects.delete(effectReference);\n release(effectReference);\n };\n return effectReference;\n };\n return [wrappedEffect, () => {\n cleanup2();\n }];\n}\n\n// packages/alpinejs/src/utils/dispatch.js\nfunction dispatch(el, name, detail = {}) {\n el.dispatchEvent(\n new CustomEvent(name, {\n detail,\n bubbles: true,\n // Allows events to pass the shadow DOM barrier.\n composed: true,\n cancelable: true\n })\n );\n}\n\n// packages/alpinejs/src/utils/walk.js\nfunction walk(el, callback) {\n if (typeof ShadowRoot === \"function\" && el instanceof ShadowRoot) {\n Array.from(el.children).forEach((el2) => walk(el2, callback));\n return;\n }\n let skip = false;\n callback(el, () => skip = true);\n if (skip)\n return;\n let node = el.firstElementChild;\n while (node) {\n walk(node, callback, false);\n node = node.nextElementSibling;\n }\n}\n\n// packages/alpinejs/src/utils/warn.js\nfunction warn(message, ...args) {\n console.warn(`Alpine Warning: ${message}`, ...args);\n}\n\n// packages/alpinejs/src/lifecycle.js\nvar started = false;\nfunction start() {\n if (started)\n warn(\"Alpine has already been initialized on this page. Calling Alpine.start() more than once can cause problems.\");\n started = true;\n if (!document.body)\n warn(\"Unable to initialize. Trying to load Alpine before `` is available. Did you forget to add `defer` in Alpine's `