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#### 9.3.0
* 19/04/25
* Refactor type declarations:
* Rename *bignumber.d.ts* to *types.d.ts*.
* Rename *bignumber.d.cts* to *bignumber.d.ts*.
* Add `export as namespace` to *bignumber.d.ts*.
* Remove subpath exports from *package.json*.
* Refactor named export from *bignumber.d.mts*.
* #383 Remove `?` from static `BigNumber` and `default` properties.
* Add blank lines after titles in *CHANGELOG.md*.
#### 9.2.1
* 08/04/25
* ##371 #382 Add `BigNumber` as named export.
#### 9.2.0
* 03/04/25
* #355 Support `BigInt` argument.
* #371 Provide separate type definitions for CommonJS and ES modules.
* #374 Correct `comparedTo` return type.
#### 9.1.2
* 28/08/23
* #354 Amend `round` to avoid bug in v8 Maglev compiler.
* [BUGFIX] #344 `minimum(0, -0)` should be `-0`.
#### 9.1.1
* 04/12/22
* #338 [BUGFIX] `exponentiatedBy`: ensure `0**-n === Infinity` for very large `n`.
#### 9.1.0
* 08/08/22
* #329 Remove `import` example.
* #277 Resolve lint warnings and add number `toString` note.
* Correct `decimalPlaces()` return type in *bignumber.d.ts*.
* Add ES module global `crypto` example.
* #322 Add `exports` field to *package.json*.
* #251 (#308) Amend *bignumber.d.ts* to allow instantiating a BigNumber without `new`.
#### 9.0.2
* 12/12/21
* #250 [BUGFIX] Allow use of user-defined alphabet for base 10.
* #295 Remove *bignumber.min.js* and amend *README.md*.
* Update *.travis.yml* and *LICENCE.md*.
#### 9.0.1
* 28/09/20
* [BUGFIX] #276 Correct `sqrt` initial estimate.
* Update *.travis.yml*, *LICENCE.md* and *README.md*.
#### 9.0.0
* 27/05/2019
* For compatibility with legacy browsers, remove `Symbol` references.
#### 8.1.1
* 24/02/2019
* [BUGFIX] #222 Restore missing `var` to `export BigNumber`.
* Allow any key in BigNumber.Instance in *bignumber.d.ts*.
#### 8.1.0
* 23/02/2019
* [NEW FEATURE] #220 Create a BigNumber using `{s, e, c}`.
* [NEW FEATURE] `isBigNumber`: if `BigNumber.DEBUG` is `true`, also check that the BigNumber instance is well-formed.
* Remove `instanceof` checks; just use `_isBigNumber` to identify a BigNumber instance.
* Add `_isBigNumber` to prototype in *bignumber.mjs*.
* Add tests for BigNumber creation from object.
* Update *API.html*.
#### 8.0.2
* 13/01/2019
* #209 `toPrecision` without argument should follow `toString`.
* Improve *Use* section of *README*.
* Optimise `toString(10)`.
* Add verson number to API doc.
#### 8.0.1
* 01/11/2018
* Rest parameter must be array type in *bignumber.d.ts*.
#### 8.0.0
* 01/11/2018
* [NEW FEATURE] Add `BigNumber.sum` method.
* [NEW FEATURE]`toFormat`: add `prefix` and `suffix` options.
* [NEW FEATURE] #178 Pass custom formatting to `toFormat`.
* [BREAKING CHANGE] #184 `toFraction`: return array of BigNumbers not strings.
* [NEW FEATURE] #185 Enable overwrite of `valueOf` to prevent accidental addition to string.
* #183 Add Node.js `crypto` requirement to documentation.
* [BREAKING CHANGE] #198 Disallow signs and whitespace in custom alphabet.
* [NEW FEATURE] #188 Implement `util.inspect.custom` for Node.js REPL.
* #170 Make `isBigNumber` a type guard in *bignumber.d.ts*.
* [BREAKING CHANGE] `BigNumber.min` and `BigNumber.max`: don't accept an array.
* Update *.travis.yml*.
* Remove *bower.json*.
#### 7.2.1
* 24/05/2018
* Add `browser` field to *package.json*.
#### 7.2.0
* 22/05/2018
* #166 Correct *.mjs* file. Remove extension from `main` field in *package.json*.
#### 7.1.0
* 18/05/2018
* Add `module` field to *package.json* for *bignumber.mjs*.
#### 7.0.2
* 17/05/2018
* #165 Bugfix: upper-case letters for bases 11-36 in a custom alphabet.
* Add note to *README* regarding creating BigNumbers from Number values.
#### 7.0.1
* 26/04/2018
* #158 Fix global object variable name typo.
#### 7.0.0
* 26/04/2018
* #143 Remove global BigNumber from typings.
* #144 Enable compatibility with `Object.freeze(Object.prototype)`.
* #148 #123 #11 Only throw on a number primitive with more than 15 significant digits if `BigNumber.DEBUG` is `true`.
* Only throw on an invalid BigNumber value if `BigNumber.DEBUG` is `true`. Return BigNumber `NaN` instead.
* #154 `exponentiatedBy`: allow BigNumber exponent.
* #156 Prevent Content Security Policy *unsafe-eval* issue.
* `toFraction`: allow `Infinity` maximum denominator.
* Comment-out some excess tests to reduce test time.
* Amend indentation and other spacing.
#### 6.0.0
* 26/01/2018
* #137 Implement `APLHABET` configuration option.
* Remove `ERRORS` configuration option.
* Remove `toDigits` method; extend `precision` method accordingly.
* Remove s`round` method; extend `decimalPlaces` method accordingly.
* Remove methods: `ceil`, `floor`, and `truncated`.
* Remove method aliases: `add`, `cmp`, `isInt`, `isNeg`, `trunc`, `mul`, `neg` and `sub`.
* Rename methods: `shift` to `shiftedBy`, `another` to `clone`, `toPower` to `exponentiatedBy`, and `equals` to `isEqualTo`.
* Rename methods: add `is` prefix to `greaterThan`, `greaterThanOrEqualTo`, `lessThan` and `lessThanOrEqualTo`.
* Add methods: `multipliedBy`, `isBigNumber`, `isPositive`, `integerValue`, `maximum` and `minimum`.
* Refactor test suite.
* Add *CHANGELOG.md*.
* Rewrite *bignumber.d.ts*.
* Redo API image.
#### 5.0.0
* 27/11/2017
* #81 Don't throw on constructor call without `new`.
#### 4.1.0
* 26/09/2017
* Remove node 0.6 from *.travis.yml*.
* Add *bignumber.mjs*.
#### 4.0.4
* 03/09/2017
* Add missing aliases to *bignumber.d.ts*.
#### 4.0.3
* 30/08/2017
* Add types: *bignumber.d.ts*.
#### 4.0.2
* 03/05/2017
* #120 Workaround Safari/Webkit bug.
#### 4.0.1
* 05/04/2017
* #121 BigNumber.default to BigNumber['default'].
#### 4.0.0
* 09/01/2017
* Replace BigNumber.isBigNumber method with isBigNumber prototype property.
#### 3.1.2
* 08/01/2017
* Minor documentation edit.
#### 3.1.1
* 08/01/2017
* Uncomment `isBigNumber` tests.
* Ignore dot files.
#### 3.1.0
* 08/01/2017
* Add `isBigNumber` method.
#### 3.0.2
* 08/01/2017
* Bugfix: Possible incorrect value of `ERRORS` after a `BigNumber.another` call (due to `parseNumeric` declaration in outer scope).
#### 3.0.1
* 23/11/2016
* Apply fix for old ipads with `%` issue, see #57 and #102.
* Correct error message.
#### 3.0.0
* 09/11/2016
* Remove `require('crypto')` - leave it to the user.
* Add `BigNumber.set` as `BigNumber.config` alias.
* Default `POW_PRECISION` to `0`.
#### 2.4.0
* 14/07/2016
* #97 Add exports to support ES6 imports.
#### 2.3.0
* 07/03/2016
* #86 Add modulus parameter to `toPower`.
#### 2.2.0
* 03/03/2016
* #91 Permit larger JS integers.
#### 2.1.4
* 15/12/2015
* Correct UMD.
#### 2.1.3
* 13/12/2015
* Refactor re global object and crypto availability when bundling.
#### 2.1.2
* 10/12/2015
* Bugfix: `window.crypto` not assigned to `crypto`.
#### 2.1.1
* 09/12/2015
* Prevent code bundler from adding `crypto` shim.
#### 2.1.0
* 26/10/2015
* For `valueOf` and `toJSON`, include the minus sign with negative zero.
#### 2.0.8
* 2/10/2015
* Internal round function bugfix.
#### 2.0.6
* 31/03/2015
* Add bower.json. Tweak division after in-depth review.
#### 2.0.5
* 25/03/2015
* Amend README. Remove bitcoin address.
#### 2.0.4
* 25/03/2015
* Critical bugfix #58: division.
#### 2.0.3
* 18/02/2015
* Amend README. Add source map.
#### 2.0.2
* 18/02/2015
* Correct links.
#### 2.0.1
* 18/02/2015
* Add `max`, `min`, `precision`, `random`, `shiftedBy`, `toDigits` and `truncated` methods.
* Add the short-forms: `add`, `mul`, `sd`, `sub` and `trunc`.
* Add an `another` method to enable multiple independent constructors to be created.
* Add support for the base 2, 8 and 16 prefixes `0b`, `0o` and `0x`.
* Enable a rounding mode to be specified as a second parameter to `toExponential`, `toFixed`, `toFormat` and `toPrecision`.
* Add a `CRYPTO` configuration property so cryptographically-secure pseudo-random number generation can be specified.
* Add a `MODULO_MODE` configuration property to enable the rounding mode used by the `modulo` operation to be specified.
* Add a `POW_PRECISION` configuration property to enable the number of significant digits calculated by the power operation to be limited.
* Improve code quality.
* Improve documentation.
#### 2.0.0
* 29/12/2014
* Add `dividedToIntegerBy`, `isInteger` and `toFormat` methods.
* Remove the following short-forms: `isF`, `isZ`, `toE`, `toF`, `toFr`, `toN`, `toP`, `toS`.
* Store a BigNumber's coefficient in base 1e14, rather than base 10.
* Add fast path for integers to BigNumber constructor.
* Incorporate the library into the online documentation.
#### 1.5.0
* 13/11/2014
* Add `toJSON` and `decimalPlaces` methods.
#### 1.4.1
* 08/06/2014
* Amend README.
#### 1.4.0
* 08/05/2014
* Add `toNumber`.
#### 1.3.0
* 08/11/2013
* Ensure correct rounding of `sqrt` in all, rather than almost all, cases.
* Maximum radix to 64.
#### 1.2.1
* 17/10/2013
* Sign of zero when x < 0 and x + (-x) = 0.
#### 1.2.0
* 19/9/2013
* Throw Error objects for stack.
#### 1.1.1
* 22/8/2013
* Show original value in constructor error message.
#### 1.1.0
* 1/8/2013
* Allow numbers with trailing radix point.
#### 1.0.1
* Bugfix: error messages with incorrect method name
#### 1.0.0
* 8/11/2012
* Initial release

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The MIT License (MIT)
=====================
Copyright © `<2025>` `Michael Mclaughlin`
Permission is hereby granted, free of charge, to any person
obtaining a copy of this software and associated documentation
files (the “Software”), to deal in the Software without
restriction, including without limitation the rights to use,
copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the
Software is furnished to do so, subject to the following
conditions:
The above copyright notice and this permission notice shall be
included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
OTHER DEALINGS IN THE SOFTWARE.

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![bignumber.js](https://raw.githubusercontent.com/MikeMcl/bignumber.js/gh-pages/bignumberjs.png)
A JavaScript library for arbitrary-precision decimal and non-decimal arithmetic.
[![npm version](https://img.shields.io/npm/v/bignumber.js.svg)](https://www.npmjs.com/package/bignumber.js)
[![npm downloads](https://img.shields.io/npm/dw/bignumber.js)](https://www.npmjs.com/package/bignumber.js)
<br />
## Features
- Integers and decimals
- Simple API but full-featured
- Faster, smaller, and perhaps easier to use than JavaScript versions of Java's BigDecimal
- 8 KB minified and gzipped
- Replicates the `toExponential`, `toFixed`, `toPrecision` and `toString` methods of JavaScript's Number type
- Includes a `toFraction` and a correctly-rounded `squareRoot` method
- Supports cryptographically-secure pseudo-random number generation
- No dependencies
- Wide platform compatibility: uses JavaScript 1.5 (ECMAScript 3) features only
- Comprehensive [documentation](http://mikemcl.github.io/bignumber.js/) and test set
![API](https://raw.githubusercontent.com/MikeMcl/bignumber.js/gh-pages/API.png)
If a smaller and simpler library is required see [big.js](https://github.com/MikeMcl/big.js/).
It's less than half the size but only works with decimal numbers and only has half the methods.
It also has fewer configuration options than this library, and does not allow `NaN` or `Infinity`.
See 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.
## Load
The library is the single JavaScript file *bignumber.js* or ES module *bignumber.mjs*.
### Browser
```html
<script src='path/to/bignumber.js'></script>
```
> ES module
```html
<script type="module">
import BigNumber from './path/to/bignumber.mjs';
```
> Get a minified version from a CDN:
```html
<script src='https://cdn.jsdelivr.net/npm/bignumber.js@9.3.0/bignumber.min.js'></script>
```
### [Node.js](http://nodejs.org)
```bash
npm install bignumber.js
```
```javascript
const BigNumber = require('bignumber.js');
```
> ES module
```javascript
import BigNumber from "bignumber.js";
```
### [Deno](https://deno.land/)
```javascript
// @deno-types="https://raw.githubusercontent.com/mikemcl/bignumber.js/v9.3.0/bignumber.d.mts"
import BigNumber from 'https://raw.githubusercontent.com/mikemcl/bignumber.js/v9.3.0/bignumber.mjs';
// @deno-types="https://unpkg.com/bignumber.js@latest/bignumber.d.mts"
import { BigNumber } from 'https://unpkg.com/bignumber.js@latest/bignumber.mjs';
```
## Use
The library exports a single constructor function, [`BigNumber`](http://mikemcl.github.io/bignumber.js/#bignumber), which accepts a value of type Number, String or BigNumber,
```javascript
let x = new BigNumber(123.4567);
let y = BigNumber('123456.7e-3');
let z = new BigNumber(x);
x.isEqualTo(y) && y.isEqualTo(z) && x.isEqualTo(z); // true
```
To 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.
```javascript
let x = new BigNumber('1111222233334444555566');
x.toString(); // "1.111222233334444555566e+21"
x.toFixed(); // "1111222233334444555566"
```
If 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.
*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.*
```javascript
// Precision loss from using numeric literals with more than 15 significant digits.
new BigNumber(1.0000000000000001) // '1'
new BigNumber(88259496234518.57) // '88259496234518.56'
new BigNumber(99999999999999999999) // '100000000000000000000'
// Precision loss from using numeric literals outside the range of Number values.
new BigNumber(2e+308) // 'Infinity'
new BigNumber(1e-324) // '0'
// Precision loss from the unexpected result of arithmetic with Number values.
new BigNumber(0.7 + 0.1) // '0.7999999999999999'
```
When 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.
```javascript
new BigNumber(Number.MAX_VALUE.toString(2), 2)
```
BigNumbers can be created from values in bases from 2 to 36. See [`ALPHABET`](http://mikemcl.github.io/bignumber.js/#alphabet) to extend this range.
```javascript
a = new BigNumber(1011, 2) // "11"
b = new BigNumber('zz.9', 36) // "1295.25"
c = a.plus(b) // "1306.25"
```
*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.*
A BigNumber is immutable in the sense that it is not changed by its methods.
```javascript
0.3 - 0.1 // 0.19999999999999998
x = new BigNumber(0.3)
x.minus(0.1) // "0.2"
x // "0.3"
```
The methods that return a BigNumber can be chained.
```javascript
x.dividedBy(y).plus(z).times(9)
x.times('1.23456780123456789e+9').plus(9876.5432321).dividedBy('4444562598.111772').integerValue()
```
Some of the longer method names have a shorter alias.
```javascript
x.squareRoot().dividedBy(y).exponentiatedBy(3).isEqualTo(x.sqrt().div(y).pow(3)) // true
x.modulo(y).multipliedBy(z).eq(x.mod(y).times(z)) // true
```
As 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.
```javascript
x = new BigNumber(255.5)
x.toExponential(5) // "2.55500e+2"
x.toFixed(5) // "255.50000"
x.toPrecision(5) // "255.50"
x.toNumber() // 255.5
```
A base can be specified for [`toString`](http://mikemcl.github.io/bignumber.js/#toS).
*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.*
```javascript
x.toString(16) // "ff.8"
```
There is a [`toFormat`](http://mikemcl.github.io/bignumber.js/#toFor) method which may be useful for internationalisation.
```javascript
y = new BigNumber('1234567.898765')
y.toFormat(2) // "1,234,567.90"
```
The 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.
The other arithmetic operations always give the exact result.
```javascript
BigNumber.set({ DECIMAL_PLACES: 10, ROUNDING_MODE: 4 })
x = new BigNumber(2)
y = new BigNumber(3)
z = x.dividedBy(y) // "0.6666666667"
z.squareRoot() // "0.8164965809"
z.exponentiatedBy(-3) // "3.3749999995"
z.toString(2) // "0.1010101011"
z.multipliedBy(z) // "0.44444444448888888889"
z.multipliedBy(z).decimalPlaces(10) // "0.4444444445"
```
There is a [`toFraction`](http://mikemcl.github.io/bignumber.js/#toFr) method with an optional *maximum denominator* argument
```javascript
y = new BigNumber(355)
pi = y.dividedBy(113) // "3.1415929204"
pi.toFraction() // [ "7853982301", "2500000000" ]
pi.toFraction(1000) // [ "355", "113" ]
```
and [`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.
```javascript
x = new BigNumber(NaN) // "NaN"
y = new BigNumber(Infinity) // "Infinity"
x.isNaN() && !y.isNaN() && !x.isFinite() && !y.isFinite() // true
```
The value of a BigNumber is stored in a decimal floating point format in terms of a coefficient, exponent and sign.
```javascript
x = new BigNumber(-123.456);
x.c // [ 123, 45600000000000 ] coefficient (i.e. significand)
x.e // 2 exponent
x.s // -1 sign
```
For advanced usage, multiple BigNumber constructors can be created, each with its own independent configuration.
```javascript
// Set DECIMAL_PLACES for the original BigNumber constructor
BigNumber.set({ DECIMAL_PLACES: 10 })
// Create another BigNumber constructor, optionally passing in a configuration object
BN = BigNumber.clone({ DECIMAL_PLACES: 5 })
x = new BigNumber(1)
y = new BN(1)
x.div(3) // '0.3333333333'
y.div(3) // '0.33333'
```
To 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
```javascript
BigNumber.prototype[require('util').inspect.custom] = BigNumber.prototype.valueOf;
```
For further information see the [API](http://mikemcl.github.io/bignumber.js/) reference in the *doc* directory.
## Test
The *test/modules* directory contains the test scripts for each method.
The tests can be run with Node.js or a browser. For Node.js use
```bash
npm test
```
or
```bash
node test/test
```
To test a single method, use, for example
```bash
node test/methods/toFraction
```
For the browser, open *test/test.html*.
## Minify
To minify using, for example, [terser](https://github.com/terser/terser)
```bash
npm install -g terser
```
```bash
terser big.js -c -m -o big.min.js
```
## Licence
The MIT Licence.
See [LICENCE](https://github.com/MikeMcl/bignumber.js/blob/master/LICENCE).

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/// <reference path="./types.d.ts" />
export default BigNumber;
declare const BigNumberType: typeof BigNumber;
export { BigNumberType as BigNumber };

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/// <reference path="./types.d.ts" />
export = BigNumber;
export as namespace BigNumber;

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{
"name": "bignumber.js",
"description": "A library for arbitrary-precision decimal and non-decimal arithmetic",
"version": "9.3.0",
"keywords": [
"arbitrary",
"precision",
"arithmetic",
"big",
"number",
"decimal",
"float",
"biginteger",
"bigdecimal",
"bignumber",
"bigint",
"bignum"
],
"repository": {
"type": "git",
"url": "https://github.com/MikeMcl/bignumber.js.git"
},
"main": "bignumber",
"module": "bignumber.mjs",
"browser": "bignumber.js",
"types": "bignumber.d.ts",
"exports": {
".": {
"import": {
"types": "./bignumber.d.mts",
"default": "./bignumber.mjs"
},
"require": {
"types": "./bignumber.d.ts",
"default": "./bignumber.js"
},
"browser": {
"types": "./bignumber.d.ts",
"default": "./bignumber.js"
},
"default": {
"types": "./bignumber.d.ts",
"default": "./bignumber.js"
}
},
"./package.json": "./package.json"
},
"author": {
"name": "Michael Mclaughlin",
"email": "M8ch88l@gmail.com"
},
"engines": {
"node": "*"
},
"license": "MIT",
"scripts": {
"test": "node test/test"
},
"dependencies": {}
}

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