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\r\n\r\n## Features\r\n\r\n- Integers and decimals\r\n- Simple API but full-featured\r\n- Faster, smaller, and perhaps easier to use than JavaScript versions of Java's BigDecimal\r\n- 8 KB minified and gzipped\r\n- Replicates the `toExponential`, `toFixed`, `toPrecision` and `toString` methods of JavaScript's Number type\r\n- Includes a `toFraction` and a correctly-rounded `squareRoot` method\r\n- Supports cryptographically-secure pseudo-random number generation\r\n- No dependencies\r\n- Wide platform compatibility: uses JavaScript 1.5 (ECMAScript 3) features only\r\n- Comprehensive [documentation](http://mikemcl.github.io/bignumber.js/) and test set\r\n\r\n\r\n\r\nIf a smaller and simpler library is required see [big.js](https://github.com/MikeMcl/big.js/).\r\nIt's less than half the size but only works with decimal numbers and only has half the methods.\r\nIt also has fewer configuration options than this library, and does not allow `NaN` or `Infinity`.\r\n\r\nSee also [decimal.js](https://github.com/MikeMcl/decimal.js/), which among other things adds support for non-integer powers, and performs all operations to a specified number of significant digits.\r\n\r\n## Load\r\n\r\nThe library is the single JavaScript file *bignumber.js* or ES module *bignumber.mjs*.\r\n\r\n### Browser\r\n\r\n```html\r\n\r\n```\r\n\r\n> ES module\r\n\r\n```html\r\n\r\n```\r\n\r\n### [Node.js](http://nodejs.org)\r\n\r\n```bash\r\nnpm install bignumber.js\r\n```\r\n\r\n```javascript\r\nconst BigNumber = require('bignumber.js');\r\n```\r\n\r\n> ES module\r\n\r\n```javascript\r\nimport BigNumber from \"bignumber.js\";\r\n```\r\n\r\n### [Deno](https://deno.land/)\r\n\r\n```javascript\r\n// @deno-types=\"https://raw.githubusercontent.com/mikemcl/bignumber.js/v9.3.1/bignumber.d.mts\"\r\nimport BigNumber from 'https://raw.githubusercontent.com/mikemcl/bignumber.js/v9.3.1/bignumber.mjs';\r\n\r\n// @deno-types=\"https://unpkg.com/bignumber.js@latest/bignumber.d.mts\"\r\nimport { BigNumber } from 'https://unpkg.com/bignumber.js@latest/bignumber.mjs';\r\n```\r\n\r\n## Use\r\n\r\nThe library exports a single constructor function, [`BigNumber`](http://mikemcl.github.io/bignumber.js/#bignumber), which accepts a value of type Number, String or BigNumber,\r\n\r\n```javascript\r\nlet x = new BigNumber(123.4567);\r\nlet y = BigNumber('123456.7e-3');\r\nlet z = new BigNumber(x);\r\nx.isEqualTo(y) && y.isEqualTo(z) && x.isEqualTo(z); // true\r\n```\r\n\r\nTo get the string value of a BigNumber use [`toString()`](http://mikemcl.github.io/bignumber.js/#toS) or [`toFixed()`](http://mikemcl.github.io/bignumber.js/#toFix). Using `toFixed()` prevents exponential notation being returned, no matter how large or small the value.\r\n\r\n```javascript\r\nlet x = new BigNumber('1111222233334444555566');\r\nx.toString(); // \"1.111222233334444555566e+21\"\r\nx.toFixed(); // \"1111222233334444555566\"\r\n```\r\n\r\nIf the limited precision of Number values is not well understood, it is recommended to create BigNumbers from String values rather than Number values to avoid a potential loss of precision.\r\n\r\n*In all further examples below, `let`, semicolons and `toString` calls are not shown. If a commented-out value is in quotes it means `toString` has been called on the preceding expression.*\r\n\r\n```javascript\r\n// Precision loss from using numeric literals with more than 15 significant digits.\r\nnew BigNumber(1.0000000000000001) // '1'\r\nnew BigNumber(88259496234518.57) // '88259496234518.56'\r\nnew BigNumber(99999999999999999999) // '100000000000000000000'\r\n\r\n// Precision loss from using numeric literals outside the range of Number values.\r\nnew BigNumber(2e+308) // 'Infinity'\r\nnew BigNumber(1e-324) // '0'\r\n\r\n// Precision loss from the unexpected result of arithmetic with Number values.\r\nnew BigNumber(0.7 + 0.1) // '0.7999999999999999'\r\n```\r\n\r\nWhen creating a BigNumber from a Number, note that a BigNumber is created from a Number's decimal `toString()` value not from its underlying binary value. If the latter is required, then pass the Number's `toString(2)` value and specify base 2.\r\n\r\n```javascript\r\nnew BigNumber(Number.MAX_VALUE.toString(2), 2)\r\n```\r\n\r\nBigNumbers can be created from values in bases from 2 to 36. See [`ALPHABET`](http://mikemcl.github.io/bignumber.js/#alphabet) to extend this range.\r\n\r\n```javascript\r\na = new BigNumber(1011, 2) // \"11\"\r\nb = new BigNumber('zz.9', 36) // \"1295.25\"\r\nc = a.plus(b) // \"1306.25\"\r\n```\r\n\r\n*Performance is better if base 10 is NOT specified for decimal values. Only specify base 10 when you want to limit the number of decimal places of the input value to the current [`DECIMAL_PLACES`](http://mikemcl.github.io/bignumber.js/#decimal-places) setting.*\r\n\r\nA BigNumber is immutable in the sense that it is not changed by its methods.\r\n\r\n```javascript\r\n0.3 - 0.1 // 0.19999999999999998\r\nx = new BigNumber(0.3)\r\nx.minus(0.1) // \"0.2\"\r\nx // \"0.3\"\r\n```\r\n\r\nThe methods that return a BigNumber can be chained.\r\n\r\n```javascript\r\nx.dividedBy(y).plus(z).times(9)\r\nx.times('1.23456780123456789e+9').plus(9876.5432321).dividedBy('4444562598.111772').integerValue()\r\n```\r\n\r\nSome of the longer method names have a shorter alias.\r\n\r\n```javascript\r\nx.squareRoot().dividedBy(y).exponentiatedBy(3).isEqualTo(x.sqrt().div(y).pow(3)) // true\r\nx.modulo(y).multipliedBy(z).eq(x.mod(y).times(z)) // true\r\n```\r\n\r\nAs with JavaScript's Number type, there are [`toExponential`](http://mikemcl.github.io/bignumber.js/#toE), [`toFixed`](http://mikemcl.github.io/bignumber.js/#toFix) and [`toPrecision`](http://mikemcl.github.io/bignumber.js/#toP) methods.\r\n\r\n```javascript\r\nx = new BigNumber(255.5)\r\nx.toExponential(5) // \"2.55500e+2\"\r\nx.toFixed(5) // \"255.50000\"\r\nx.toPrecision(5) // \"255.50\"\r\nx.toNumber() // 255.5\r\n```\r\n\r\n A base can be specified for [`toString`](http://mikemcl.github.io/bignumber.js/#toS).\r\n\r\n*Performance is better if base 10 is NOT specified, i.e. use `toString()` not `toString(10)`. Only specify base 10 when you want to limit the number of decimal places of the string to the current [`DECIMAL_PLACES`](http://mikemcl.github.io/bignumber.js/#decimal-places) setting.*\r\n\r\n ```javascript\r\n x.toString(16) // \"ff.8\"\r\n ```\r\n\r\nThere is a [`toFormat`](http://mikemcl.github.io/bignumber.js/#toFor) method which may be useful for internationalisation.\r\n\r\n```javascript\r\ny = new BigNumber('1234567.898765')\r\ny.toFormat(2) // \"1,234,567.90\"\r\n```\r\n\r\nThe maximum number of decimal places of the result of an operation involving division (i.e. a division, square root, base conversion or negative power operation) is set using the `set` or `config` method of the `BigNumber` constructor.\r\n\r\nThe other arithmetic operations always give the exact result.\r\n\r\n```javascript\r\nBigNumber.set({ DECIMAL_PLACES: 10, ROUNDING_MODE: 4 })\r\n\r\nx = new BigNumber(2)\r\ny = new BigNumber(3)\r\nz = x.dividedBy(y) // \"0.6666666667\"\r\nz.squareRoot() // \"0.8164965809\"\r\nz.exponentiatedBy(-3) // \"3.3749999995\"\r\nz.toString(2) // \"0.1010101011\"\r\nz.multipliedBy(z) // \"0.44444444448888888889\"\r\nz.multipliedBy(z).decimalPlaces(10) // \"0.4444444445\"\r\n```\r\n\r\nThere is a [`toFraction`](http://mikemcl.github.io/bignumber.js/#toFr) method with an optional *maximum denominator* argument\r\n\r\n```javascript\r\ny = new BigNumber(355)\r\npi = y.dividedBy(113) // \"3.1415929204\"\r\npi.toFraction() // [ \"7853982301\", \"2500000000\" ]\r\npi.toFraction(1000) // [ \"355\", \"113\" ]\r\n```\r\n\r\nand [`isNaN`](http://mikemcl.github.io/bignumber.js/#isNaN) and [`isFinite`](http://mikemcl.github.io/bignumber.js/#isF) methods, as `NaN` and `Infinity` are valid `BigNumber` values.\r\n\r\n```javascript\r\nx = new BigNumber(NaN) // \"NaN\"\r\ny = new BigNumber(Infinity) // \"Infinity\"\r\nx.isNaN() && !y.isNaN() && !x.isFinite() && !y.isFinite() // true\r\n```\r\n\r\nThe value of a BigNumber is stored in a decimal floating point format in terms of a coefficient, exponent and sign.\r\n\r\n```javascript\r\nx = new BigNumber(-123.456);\r\nx.c // [ 123, 45600000000000 ] coefficient (i.e. significand)\r\nx.e // 2 exponent\r\nx.s // -1 sign\r\n```\r\n\r\nFor advanced usage, multiple BigNumber constructors can be created, each with its own independent configuration.\r\n\r\n```javascript\r\n// Set DECIMAL_PLACES for the original BigNumber constructor\r\nBigNumber.set({ DECIMAL_PLACES: 10 })\r\n\r\n// Create another BigNumber constructor, optionally passing in a configuration object\r\nBN = BigNumber.clone({ DECIMAL_PLACES: 5 })\r\n\r\nx = new BigNumber(1)\r\ny = new BN(1)\r\n\r\nx.div(3) // '0.3333333333'\r\ny.div(3) // '0.33333'\r\n```\r\n\r\nTo avoid having to call `toString` or `valueOf` on a BigNumber to get its value in the Node.js REPL or when using `console.log` use\r\n\r\n```javascript\r\nBigNumber.prototype[require('util').inspect.custom] = BigNumber.prototype.valueOf;\r\n```\r\n\r\nFor further information see the [API](http://mikemcl.github.io/bignumber.js/) reference in the *doc* directory.\r\n\r\n## Test\r\n\r\nThe *test/modules* directory contains the test scripts for each method.\r\n\r\nThe tests can be run with Node.js or a browser. For Node.js use\r\n\r\n```bash\r\nnpm test\r\n```\r\n\r\nor\r\n\r\n```bash\r\nnode test/test\r\n```\r\n\r\nTo test a single method, use, for example\r\n\r\n```bash\r\nnode test/methods/toFraction\r\n```\r\n\r\nFor the browser, open *test/test.html*.\r\n\r\n## Minify\r\n\r\nTo minify using, for example, [terser](https://github.com/terser/terser)\r\n\r\n```bash\r\nnpm install -g terser\r\n```\r\n\r\n```bash\r\nterser big.js -c -m -o big.min.js\r\n```\r\n\r\n## Licence\r\n\r\nThe MIT Licence.\r\n\r\nSee [LICENCE](https://github.com/MikeMcl/bignumber.js/blob/main/LICENCE.md).\r\n","readmeFilename":"README.md","users":{"edob":true,"kael":true,"muxa":true,"ondak":true,"igasho":true,"jokecr":true,"legacy":true,"antanst":true,"ctd1500":true,"ferrari":true,"gazilla":true,"janez89":true,"kaasdude":true,"limingv5":true,"m-ahmadi":true,"maxblock":true,"pengzhao":true,"schmidsi":true,"shbaik82":true,"stoneren":true,"zhangaz1":true,"devonning":true,"janez1989":true,"qinjm8888":true,"brainpoint":true,"raycharles":true,"santi8ago8":true,"ganeshkbhat":true,"derickdsouza":true,"nickeltobias":true,"tobiasnickel":true,"yourhoneysky":true,"lucasmciruzzi":true,"serge-nikitin":true,"danielbankhead":true,"oliversalzburg":true}}