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better structure and code

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.eslintrc.json
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{
"env": {
"node": true,
"browser": true,
"mocha": true
},
"parserOptions": {
"ecmaVersion": 2017,
"sourceType": "module"
},
"extends": "eslint:recommended",
"rules": {
"no-console": 0,
"indent": [
"error",
4
],
"linebreak-style": [
"error",
"unix"
],
"quotes": [
"error",
"single"
],
"semi": [
"error",
"always"
]
},
"globals": {
"BigInt": "readonly"
}
}

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# Project specific files
dist/bigint-mod-arith-?.?.?.*
# Logs # Logs
logs logs
*.log *.log
npm-debug.log* npm-debug.log*
yarn-debug.log*
yarn-error.log*
# Runtime data
pids
*.pid
*.seed
*.pid.lock
# Directory for instrumented libs generated by jscoverage/JSCover
lib-cov
# Coverage directory used by tools like istanbul
coverage
# nyc test coverage
.nyc_output
# Grunt intermediate storage (http://gruntjs.com/creating-plugins#storing-task-files)
.grunt
# Bower dependency directory (https://bower.io/)
bower_components
# node-waf configuration
.lock-wscript
# Compiled binary addons (https://nodejs.org/api/addons.html)
build/Release
# Dependency directories # Dependency directories
node_modules/ node_modules/
jspm_packages/
# TypeScript v1 declaration files
typings/
# Optional npm cache directory
.npm
# Optional eslint cache
.eslintcache
# Optional REPL history
.node_repl_history
# Output of 'npm pack' # Output of 'npm pack'
*.tgz *.tgz
# Yarn Integrity file
.yarn-integrity
# dotenv environment variables file
.env
# next.js build output
.next
# Visual Studio Code # Visual Studio Code
.vscode .vscode
# IntelliJ
.idea/

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# Build scripts
build/*
# Source files
src/*
# Test files
test/*
# Logs
logs
*.log
npm-debug.log*
# Output of 'npm pack'
*.tgz
# Visual Studio Code
.vscode

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INSTRUCTIONS.md Normal file
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[![JavaScript Style Guide](https://img.shields.io/badge/code_style-standard-brightgreen.svg)](https://standardjs.com)
# Skeleton for both Node.js and native JS modules
Clone this repo to your desired project directory (`my-project` in the following example), unlink the git, install the required development dependencies and start working.
```bash
git clone https://github.com/juanelas/node-browser-skel.git my-project
cd my-project
rm -rf .git .gitignore lib/.gitignore test/browser/.gitignore types/.gitignore README.md
npm i -D rollup @rollup/plugin-commonjs @rollup/plugin-multi-entry @rollup/plugin-node-resolve @rollup/plugin-replace chai jsdoc-to-markdown mocha npm-run-all rollup-plugin-terser standard typescript
```
A new JS project is created and it is ready to bundle IIFE, ESM and CJS modules with the corresponding declaration files for TypeScript. Code follows [JavaScript Standard](https://standardjs.com) style. The bundles are created with [Rollup](https://rollupjs.org).
A structure like the following is going to be created:
```
.
├── build/
│   ├── build.dts.js
│   ├── rollup.config.js
│   └── rollup.tests.config.js
├── INSTRUCTIONS.md
├── lib/
├── LICENSE
├── package.json
├── src/
│   ├── browser/
│   │   └── tests-template.html
│   ├── doc/
│   │   └── readme-template.md
│   └── js/
│   └── index.js
├── test/
│   ├── browser/
│   └── test1.js
└── types/
```
The file `INSTRUCTIONS.md` contains a copy of what you are reading now. You can safely delete it when you don't need it any more.
## Init your project
Edit `package.json` to suit your needs and initialize the project with:
```bash
npm install
npm run build
```
The `README.md` file of your project will be created during the build process, DO NOT EDIT it; edit `./src/doc/readme-template.md` instead. The JS Doc will be automatically added to the end of the `README.md`.
After editing `./src/doc/readme-template.md`, you can build your `README.md` as:
```
npm run build:docs
```
## Write JS code and build for node.js and native browsers
Write your code in ES6 using file `./src/js/index.js`. You can use boolean variable `process.browser` to create specific code for native JS or Node. For example:
```javascript
if (process.browser) {
// browser specific code here
} else {
// node.js specific code here
}
```
Once your source code is ready, you can build the final browser/node files (the node.js specific code will be stripped from the browser final files and vice versa) as:
```bash
npm run build:js
```
Final browser/node files include an ESM file, a bundle ESM file, and a bundle IIFE file for browsers; and a CJS module for node:
```
lib
├── index.browser.bundle.js
├── index.browser.bundle.mod.js
├── index.browser.mod.js
└── index.node.js
```
A file with Typescript definition types can also be built to `./types/index.d.ts` with :
```
npm run build:dts
```
> Consider using JS Doc with your exports. If the JS doc includes typing in the documentation, the created types definition file will honour the JS doc typing instead of using `any` everywhere.
## Create and run tests for node.js and browser
Mocha/Chai tests are created using Node.js common js format and should be placed in directory `./test/`. You can create separate test files but follow the instructions in `./test/test1.js`.
You can run tests in Node.js with:
```bash
npm test
```
Browser tests are built from the node.js ones:
```
npm run build:browserTests
```
Don't forget rebuilding after adding/modifying a test.
> Opening the browser tests requires a local live server to serve `./test/browser/index.html`. With VSCode, you can use the [Live Server extension](https://marketplace.visualstudio.com/items?itemName=ritwickdey.LiveServer) and just right click over the file and `Open with Live Server`; although any other server solution should be fine.
## Build all in one step
You can just go through all the build steps in one step:
```
npm run build
```

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README.hbs
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# bigint-mod-arith
**IMPORTANT! This package has been superseded by [bigint-crypto-utils](https://github.com/juanelas/bigint-crypto-utils)**. Please install that package instead.
Some extra functions to work with modular arithmetics using native JS (stage 3) implementation of BigInt. It can be used by any [Web Browser or webview supporting BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility) and with Node.js (>=10.4.0).
If you are also looking for a cryptographically-secure random generator and for strong probable primes (generation and testing), you should consider moving to [bigint-crypto-utils](https://github.com/juanelas/bigint-crypto-utils)
_The operations supported on BigInts are not constant time. BigInt can be therefore **[unsuitable for use in cryptography](https://www.chosenplaintext.ca/articles/beginners-guide-constant-time-cryptography.html).** Many platforms provide native support for cryptography, such as [Web Cryptography API](https://w3c.github.io/webcrypto/) or [Node.js Crypto](https://nodejs.org/dist/latest/docs/api/crypto.html)._
## Installation
bigint-mod-arith is distributed for [web browsers and/or webviews supporting
BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility)
as an ES6 module or an IIFE file; and for Node.js (>=10.4.0), as a CJS module.
bigint-mod-arith can be imported to your project with `npm`:
```bash
npm install bigint-mod-arith
```
NPM installation defaults to the ES6 module for browsers and the CJS one for Node.js.
For web browsers, you can also directly download the minimised version of the [IIFE file](https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/dist/bigint-mod-arith-latest.browser.min.js) or the [ES6 module](https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/dist/bigint-mod-arith-latest.browser.mod.min.js) from GitHub.
## Usage example
With node js:
```javascript
const bigintModArith = require('bigint-mod-arith');
/* Stage 3 BigInts with value 666 can be declared as BigInt('666')
or the shorter new no-so-linter-friendly syntax 666n.
Notice that you can also pass a number, e.g. BigInt(666), but it is not
recommended since values over 2**53 - 1 won't be safe but no warning will
be raised.
*/
let a = BigInt('5');
let b = BigInt('2');
let n = BigInt('19');
console.log(bigintCryptoUtils.modPow(a, b, n)); // prints 6
console.log(bigintCryptoUtils.modInv(BigInt('2'), BigInt('5'))); // prints 3
console.log(bigintCryptoUtils.modInv(BigInt('3'), BigInt('5'))); // prints 2
```
From a browser, you can just load the module in a html page as:
```html
<script type="module">
import * as bigintModArith from 'bigint-mod-arith-latest.browser.mod.min.js';
let a = BigInt('5');
let b = BigInt('2');
let n = BigInt('19');
console.log(bigintModArith.modPow(a, b, n)); // prints 6
console.log(bigintModArith.modInv(BigInt('2'), BigInt('5'))); // prints 3
console.log(bigintModArith.modInv(BigInt('3'), BigInt('5'))); // prints 2
</script>
```
# bigint-mod-arith JS Doc
{{>main}}
* * *

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[![JavaScript Style Guide](https://img.shields.io/badge/code_style-standard-brightgreen.svg)](https://standardjs.com)
# bigint-mod-arith # bigint-mod-arith
Some extra functions to work with modular arithmetics using native JS (stage 3) implementation of BigInt. It can be used by any [Web Browser or webview supporting BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility) and with Node.js (>=10.4.0). Some extra functions to work with modular arithmetic using native JS ([ES-2020](https://tc39.es/ecma262/#sec-bigint-objects)) implementation of BigInt. It can be used by any [Web Browser or webview supporting BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility) and with Node.js (>=10.4.0).
If you are looking for a cryptographically-secure random generator and for strong probable primes (generation and testing), you > The operations supported on BigInts are not constant time. BigInt can be therefore **[unsuitable for use in cryptography](https://www.chosenplaintext.ca/articles/beginners-guide-constant-time-cryptography.html).** Many platforms provide native support for cryptography, such as [Web Cryptography API](https://w3c.github.io/webcrypto/) or [Node.js Crypto](https://nodejs.org/dist/latest/docs/api/crypto.html).
may be interested in [bigint-secrets](https://github.com/juanelas/bigint-secrets)
_The operations supported on BigInts are not constant time. BigInt can be therefore **[unsuitable for use in cryptography](https://www.chosenplaintext.ca/articles/beginners-guide-constant-time-cryptography.html).** Many platforms provide native support for cryptography, such as [Web Cryptography API](https://w3c.github.io/webcrypto/) or [Node.js Crypto](https://nodejs.org/dist/latest/docs/api/crypto.html)._
## Installation ## Installation
bigint-mod-arith is distributed for [web browsers and/or webviews supporting
BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility) bigint-mod-arith is distributed for [web browsers and/or webviews supporting BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility) as an ES6 module or an IIFE file; and for Node.js (>=10.4.0), as a CJS module.
as an ES6 module or an IIFE file; and for Node.js (>=10.4.0), as a CJS module.
bigint-mod-arith can be imported to your project with `npm`: bigint-mod-arith can be imported to your project with `npm`:
```bash ```bash
npm install bigint-mod-arith npm install bigint-mod-arith
``` ```
NPM installation defaults to the ES6 module for browsers and the CJS one for Node.js. NPM installation defaults to the ES6 module for browsers and the CJS one for Node.js.
For web browsers, you can also directly download the minimised version of the [IIFE file](https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/dist/bigint-mod-arith-latest.browser.min.js) or the [ES6 module](https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/dist/bigint-mod-arith-latest.browser.mod.min.js) from GitHub. For web browsers, you can also directly download the [IIFE bundle](https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/lib/index.browser.bundle.js) or the [ES6 bundle module](https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/lib/index.browser.bundle.mod.js) from GitHub.
## Usage example ## Usage example
With node js: Import your module as :
```javascript
const bigintModArith = require('bigint-mod-arith');
- Node.js
```javascript
const bigintCryptoUtils = require('bigint-mod-arith')
... // your code here
```
- JavaScript native project
```javascript
import * as bigintCryptoUtils from 'bigint-mod-arith'
... // your code here
```
- Javascript native browser ES6 mod
```html
<script type="module">
import * as bigintCryptoUtils from 'lib/index.browser.bundle.mod.js' // Use you actual path to the broser mod bundle
... // your code here
</script>
import as bcu from 'bigint-mod-arith'
... // your code here
```
- JavaScript native browser IIFE
```html
<script src="../../lib/index.browser.bundle.js"></script>
<script>
... // your code here
</script>
- TypeScript
```typescript
import * as bigintCryptoUtils from 'bigint-mod-arith'
... // your code here
```
> BigInt is [ES-2020](https://tc39.es/ecma262/#sec-bigint-objects). In order to use it with TypeScript you should set `lib` (and probably also `target` and `module`) to `esnext` in `tsconfig.json`.
```javascript
/* Stage 3 BigInts with value 666 can be declared as BigInt('666') /* Stage 3 BigInts with value 666 can be declared as BigInt('666')
or the shorter new no-so-linter-friendly syntax 666n. or the shorter new no-so-linter-friendly syntax 666n.
Notice that you can also pass a number, e.g. BigInt(666), but it is not Notice that you can also pass a number, e.g. BigInt(666), but it is not
recommended since values over 2**53 - 1 won't be safe but no warning will recommended since values over 2**53 - 1 won't be safe but no warning will
be raised. be raised.
*/ */
let a = BigInt('5'); const a = BigInt('5')
let b = BigInt('2'); const b = BigInt('2')
let n = BigInt('19'); const n = BigInt('19')
console.log(bigintCryptoUtils.modPow(a, b, n)); // prints 6 console.log(bigintCryptoUtils.modPow(a, b, n)) // prints 6
console.log(bigintCryptoUtils.modInv(BigInt('2'), BigInt('5'))); // prints 3 console.log(bigintCryptoUtils.modInv(BigInt('2'), BigInt('5'))) // prints 3
console.log(bigintCryptoUtils.modInv(BigInt('3'), BigInt('5'))) // prints 2
console.log(bigintCryptoUtils.modInv(BigInt('3'), BigInt('5'))); // prints 2
``` ```
From a browser, you can just load the module in a html page as: ## JS Doc
```html
<script type="module">
import * as bigintModArith from 'bigint-mod-arith-latest.browser.mod.min.js';
let a = BigInt('5');
let b = BigInt('2');
let n = BigInt('19');
console.log(bigintModArith.modPow(a, b, n)); // prints 6
console.log(bigintModArith.modInv(BigInt('2'), BigInt('5'))); // prints 3
console.log(bigintModArith.modInv(BigInt('3'), BigInt('5'))); // prints 2
</script>
```
# bigint-mod-arith JS Doc
## Functions
<dl>
<dt><a href="#abs">abs(a)</a> ⇒ <code>bigint</code></dt>
<dd><p>Absolute value. abs(a)==a if a&gt;=0. abs(a)==-a if a&lt;0</p>
</dd>
<dt><a href="#eGcd">eGcd(a, b)</a> ⇒ <code><a href="#egcdReturn">egcdReturn</a></code></dt>
<dd><p>An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).</p>
</dd>
<dt><a href="#gcd">gcd(a, b)</a> ⇒ <code>bigint</code></dt>
<dd><p>Greatest-common divisor of two integers based on the iterative binary algorithm.</p>
</dd>
<dt><a href="#lcm">lcm(a, b)</a> ⇒ <code>bigint</code></dt>
<dd><p>The least common multiple computed as abs(a*b)/gcd(a,b)</p>
</dd>
<dt><a href="#modInv">modInv(a, n)</a> ⇒ <code>bigint</code></dt>
<dd><p>Modular inverse.</p>
</dd>
<dt><a href="#modPow">modPow(a, b, n)</a> ⇒ <code>bigint</code></dt>
<dd><p>Modular exponentiation a**b mod n</p>
</dd>
<dt><a href="#toZn">toZn(a, n)</a> ⇒ <code>bigint</code></dt>
<dd><p>Finds the smallest positive element that is congruent to a in modulo n</p>
</dd>
</dl>
## Typedefs
<dl>
<dt><a href="#egcdReturn">egcdReturn</a> : <code>Object</code></dt>
<dd><p>A triple (g, x, y), such that ax + by = g = gcd(a, b).</p>
</dd>
</dl>
<a name="abs"></a> <a name="abs"></a>
## abs(a) ⇒ <code>bigint</code> ### abs(a) ⇒ <code>bigint</code>
Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0 Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
**Kind**: global function **Kind**: global function
@ -109,13 +88,26 @@ Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
| --- | --- | | --- | --- |
| a | <code>number</code> \| <code>bigint</code> | | a | <code>number</code> \| <code>bigint</code> |
<a name="bitLength"></a>
### bitLength(a) ⇒ <code>number</code>
Returns the bitlength of a number
**Kind**: global function
**Returns**: <code>number</code> - - the bit length
| Param | Type |
| --- | --- |
| a | <code>number</code> \| <code>bigint</code> |
<a name="eGcd"></a> <a name="eGcd"></a>
## eGcd(a, b) ⇒ [<code>egcdReturn</code>](#egcdReturn) ### eGcd(a, b) ⇒ [<code>egcdReturn</code>](#egcdReturn)
An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm. An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b). Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
**Kind**: global function **Kind**: global function
**Returns**: [<code>egcdReturn</code>](#egcdReturn) - A triple (g, x, y), such that ax + by = g = gcd(a, b).
| Param | Type | | Param | Type |
| --- | --- | | --- | --- |
@ -124,7 +116,7 @@ Take positive integers a, b as input, and return a triple (g, x, y), such that a
<a name="gcd"></a> <a name="gcd"></a>
## gcd(a, b) ⇒ <code>bigint</code> ### gcd(a, b) ⇒ <code>bigint</code>
Greatest-common divisor of two integers based on the iterative binary algorithm. Greatest-common divisor of two integers based on the iterative binary algorithm.
**Kind**: global function **Kind**: global function
@ -137,7 +129,7 @@ Greatest-common divisor of two integers based on the iterative binary algorithm.
<a name="lcm"></a> <a name="lcm"></a>
## lcm(a, b) ⇒ <code>bigint</code> ### lcm(a, b) ⇒ <code>bigint</code>
The least common multiple computed as abs(a*b)/gcd(a,b) The least common multiple computed as abs(a*b)/gcd(a,b)
**Kind**: global function **Kind**: global function
@ -148,13 +140,39 @@ The least common multiple computed as abs(a*b)/gcd(a,b)
| a | <code>number</code> \| <code>bigint</code> | | a | <code>number</code> \| <code>bigint</code> |
| b | <code>number</code> \| <code>bigint</code> | | b | <code>number</code> \| <code>bigint</code> |
<a name="max"></a>
### max(a, b) ⇒ <code>bigint</code>
Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<=b
**Kind**: global function
**Returns**: <code>bigint</code> - maximum of numbers a and b
| Param | Type |
| --- | --- |
| a | <code>number</code> \| <code>bigint</code> |
| b | <code>number</code> \| <code>bigint</code> |
<a name="min"></a>
### min(a, b) ⇒ <code>bigint</code>
Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<=b
**Kind**: global function
**Returns**: <code>bigint</code> - minimum of numbers a and b
| Param | Type |
| --- | --- |
| a | <code>number</code> \| <code>bigint</code> |
| b | <code>number</code> \| <code>bigint</code> |
<a name="modInv"></a> <a name="modInv"></a>
## modInv(a, n) ⇒ <code>bigint</code> ### modInv(a, n) ⇒ <code>bigint</code>
Modular inverse. Modular inverse.
**Kind**: global function **Kind**: global function
**Returns**: <code>bigint</code> - the inverse modulo n **Returns**: <code>bigint</code> - the inverse modulo n or NaN if it does not exist
| Param | Type | Description | | Param | Type | Description |
| --- | --- | --- | | --- | --- | --- |
@ -163,21 +181,21 @@ Modular inverse.
<a name="modPow"></a> <a name="modPow"></a>
## modPow(a, b, n) ⇒ <code>bigint</code> ### modPow(b, e, n) ⇒ <code>bigint</code>
Modular exponentiation a**b mod n Modular exponentiation b**e mod n. Currently using the right-to-left binary method
**Kind**: global function **Kind**: global function
**Returns**: <code>bigint</code> - a**b mod n **Returns**: <code>bigint</code> - b**e mod n
| Param | Type | Description | | Param | Type | Description |
| --- | --- | --- | | --- | --- | --- |
| a | <code>number</code> \| <code>bigint</code> | base | | b | <code>number</code> \| <code>bigint</code> | base |
| b | <code>number</code> \| <code>bigint</code> | exponent | | e | <code>number</code> \| <code>bigint</code> | exponent |
| n | <code>number</code> \| <code>bigint</code> | modulo | | n | <code>number</code> \| <code>bigint</code> | modulo |
<a name="toZn"></a> <a name="toZn"></a>
## toZn(a, n) ⇒ <code>bigint</code> ### toZn(a, n) ⇒ <code>bigint</code>
Finds the smallest positive element that is congruent to a in modulo n Finds the smallest positive element that is congruent to a in modulo n
**Kind**: global function **Kind**: global function
@ -190,7 +208,7 @@ Finds the smallest positive element that is congruent to a in modulo n
<a name="egcdReturn"></a> <a name="egcdReturn"></a>
## egcdReturn : <code>Object</code> ### egcdReturn : <code>Object</code>
A triple (g, x, y), such that ax + by = g = gcd(a, b). A triple (g, x, y), such that ax + by = g = gcd(a, b).
**Kind**: global typedef **Kind**: global typedef
@ -202,5 +220,3 @@ A triple (g, x, y), such that ax + by = g = gcd(a, b).
| x | <code>bigint</code> | | x | <code>bigint</code> |
| y | <code>bigint</code> | | y | <code>bigint</code> |
* * *

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const fs = require('fs')
const ts = require('typescript')
const path = require('path')
const pkgJson = require('../package.json')
const rootDir = path.join(__dirname, '..')
const jsFile = path.join(rootDir, pkgJson.browser)
const dtsFile = path.join(rootDir, pkgJson.types)
const compilerOptions = {
declaration: true,
noEmit: false,
emitDeclarationOnly: true,
allowJs: true
}
const host = ts.createCompilerHost(compilerOptions)
host.writeFile = (fileName, contents) => {
fs.writeFileSync(dtsFile, contents)
}
// Prepare and emit the d.ts files
const program = ts.createProgram([jsFile], compilerOptions, host)
program.emit()

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@ -1,102 +0,0 @@
'use strict';
const rollup = require('rollup');
const minify = require('rollup-plugin-babel-minify');
const fs = require('fs');
const path = require('path');
const pkgJson = require('../package.json');
const rootDir = path.join(__dirname, '..');
const srcDir = path.join(rootDir, 'src');
const dstDir = path.join(rootDir, 'dist');
const buildOptions = [
{ // Browser
input: {
input: path.join(srcDir, 'main.js')
},
output: {
file: path.join(dstDir, `${pkgJson.name}-${pkgJson.version}.browser.js`),
format: 'iife',
name: camelise(pkgJson.name)
}
},
{ // Browser minified
input: {
input: path.join(srcDir, 'main.js'),
plugins: [
minify({
'comments': false
})
],
},
output: {
file: path.join(dstDir, `${pkgJson.name}-${pkgJson.version}.browser.min.js`),
format: 'iife',
name: camelise(pkgJson.name)
}
},
{ // Browser esm
input: {
input: path.join(srcDir, 'main.js')
},
output: {
file: path.join(dstDir, `${pkgJson.name}-${pkgJson.version}.browser.mod.js`),
format: 'esm'
}
},
{ // Browser esm minified
input: {
input: path.join(srcDir, 'main.js'),
plugins: [
minify({
'comments': false
})
],
},
output: {
file: path.join(dstDir, `${pkgJson.name}-${pkgJson.version}.browser.mod.min.js`),
format: 'esm'
}
},
{ // Node
input: {
input: path.join(srcDir, 'main.js'),
},
output: {
file: path.join(dstDir, `${pkgJson.name}-${pkgJson.version}.node.js`),
format: 'cjs'
}
}
];
for (const options of buildOptions) {
build(options);
}
/* --- HELPLER FUNCTIONS --- */
async function build(options) {
// create a bundle
const bundle = await rollup.rollup(options.input);
// generate code
await bundle.generate(options.output);
// or write the bundle to disk
await bundle.write(options.output);
// copy the latest build as pkg_name-latest
fs.copyFileSync(
options.output.file,
options.output.file.replace(`${pkgJson.name}-${pkgJson.version}.`, `${pkgJson.name}-latest.`)
);
}
function camelise(str) {
return str.replace(/-([a-z])/g,
function (m, w) {
return w.toUpperCase();
});
}

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'use strict'
const resolve = require('@rollup/plugin-node-resolve')
const replace = require('@rollup/plugin-replace')
const { terser } = require('rollup-plugin-terser')
const path = require('path')
const pkgJson = require('../package.json')
const rootDir = path.join(__dirname, '..')
const srcDir = path.join(rootDir, pkgJson.directories.src)
const dstDir = path.join(rootDir, pkgJson.directories.lib)
function camelise (str) {
console.log('camelise', str)
return str.replace(/-([a-z])/g,
function (m, w) {
return w.toUpperCase()
})
}
const pkgName = pkgJson.name
const pkgCamelisedName = camelise(pkgName)
const input = path.join(srcDir, 'js', 'index.js')
module.exports = [
{ // ESM native module
input: input,
output: [
{
file: path.join(dstDir, 'index.browser.mod.js'),
format: 'esm'
}
],
plugins: [
replace({
'process.browser': true
})
]
// external: ['bigint-crypto-utils']
},
{ // Browser bundles
input: input,
output: [
{
file: path.join(dstDir, 'index.browser.bundle.js'),
format: 'iife',
name: pkgCamelisedName
},
{
file: path.join(dstDir, 'index.browser.bundle.mod.js'),
format: 'es'
}
],
plugins: [
replace({
'process.browser': true
}),
resolve({
browser: true
}),
terser({
mangle: false,
compress: false
})
]
},
{ // Node
input: input,
plugins: [
replace({
'process.browser': false
})
],
output: {
file: path.join(dstDir, 'index.node.js'),
format: 'cjs'
}
// external: ['bigint-crypto-utils']
}
]

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'use strict'
const resolve = require('@rollup/plugin-node-resolve')
const replace = require('@rollup/plugin-replace')
const commonjs = require('@rollup/plugin-commonjs')
const multi = require('@rollup/plugin-multi-entry')
const fs = require('fs')
const path = require('path')
const pkgJson = require('../package.json')
const pkgJsonLock = require('../package-lock.json')
const mochaVersion = pkgJsonLock.dependencies.mocha.version
const chaiVersion = pkgJsonLock.dependencies.chai.version
const pkgName = pkgJson.name
const rootDir = path.join(__dirname, '..')
// Let's first create the appropriate html file loading mocha, chai and a bundle of the tests
const templatePath = path.join(rootDir, pkgJson.directories.src, 'browser', 'tests-template.html')
const dstDir = path.join(rootDir, pkgJson.directories.test, 'browser')
const dstFileName = path.join(dstDir, 'index.html')
const template = fs.readFileSync(templatePath, 'utf-8')
const bundleFile = path.join(rootDir, pkgJson.directories.lib, 'index.browser.bundle.mod.js')
const testsJs = `
<script type="module">
import * as _pkg from '${path.relative(templatePath, bundleFile)}'
window._pkg = _pkg;
import './tests.js';
mocha.run();
</script>`
fs.writeFileSync(dstFileName,
template.replace(/{{TESTS}}/g, testsJs).replace(/{{PKG_NAME}}/g, pkgName).replace(/{{MOCHA_VERSION}}/g, mochaVersion).replace(/{{CHAI_VERSION}}/g, chaiVersion)
)
const input = path.join(rootDir, pkgJson.directories.test, '*.js')
console.log(input)
module.exports = [
{
input: input,
plugins: [
multi({ exports: false }),
replace({
'const _pkg = require(\'../lib/index.node\')': '',
'const chai = require(\'chai\')': '',
delimiters: ['', ''],
'process.browser': true
}),
resolve({
browser: true
}),
commonjs()
],
output: {
file: path.join(rootDir, pkgJson.directories.test, 'browser', 'tests.js'),
format: 'esm'
},
external: [pkgName]
}
]

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var bigintModArith = (function (exports) {
'use strict';
const _ZERO = BigInt(0);
const _ONE = BigInt(1);
const _TWO = BigInt(2);
/**
* Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
*
* @param {number|bigint} a
*
* @returns {bigint} the absolute value of a
*/
function abs(a) {
a = BigInt(a);
return (a >= _ZERO) ? a : -a;
}
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
* @property {bigint} x
* @property {bigint} y
*/
/**
* An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
* Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {egcdReturn}
*/
function eGcd(a, b) {
a = BigInt(a);
b = BigInt(b);
let x = _ZERO;
let y = _ONE;
let u = _ONE;
let v = _ZERO;
while (a !== _ZERO) {
let q = b / a;
let r = b % a;
let m = x - (u * q);
let n = y - (v * q);
b = a;
a = r;
x = u;
y = v;
u = m;
v = n;
}
return {
b: b,
x: x,
y: y
};
}
/**
* Greatest-common divisor of two integers based on the iterative binary algorithm.
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The greatest common divisor of a and b
*/
function gcd(a, b) {
a = abs(a);
b = abs(b);
let shift = _ZERO;
while (!((a | b) & _ONE)) {
a >>= _ONE;
b >>= _ONE;
shift++;
}
while (!(a & _ONE)) a >>= _ONE;
do {
while (!(b & _ONE)) b >>= _ONE;
if (a > b) {
let x = a;
a = b;
b = x;
}
b -= a;
} while (b);
// rescale
return a << shift;
}
/**
* The least common multiple computed as abs(a*b)/gcd(a,b)
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The least common multiple of a and b
*/
function lcm(a, b) {
a = BigInt(a);
b = BigInt(b);
return abs(a * b) / gcd(a, b);
}
/**
* Modular inverse.
*
* @param {number|bigint} a The number to find an inverse for
* @param {number|bigint} n The modulo
*
* @returns {bigint} the inverse modulo n
*/
function modInv(a, n) {
let egcd = eGcd(a, n);
if (egcd.b !== _ONE) {
return null; // modular inverse does not exist
} else {
return toZn(egcd.x, n);
}
}
/**
* Modular exponentiation a**b mod n
* @param {number|bigint} a base
* @param {number|bigint} b exponent
* @param {number|bigint} n modulo
*
* @returns {bigint} a**b mod n
*/
function modPow(a, b, n) {
// See Knuth, volume 2, section 4.6.3.
n = BigInt(n);
a = toZn(a, n);
b = BigInt(b);
if (b < _ZERO) {
return modInv(modPow(a, abs(b), n), n);
}
let result = _ONE;
let x = a;
while (b > 0) {
var leastSignificantBit = b % _TWO;
b = b / _TWO;
if (leastSignificantBit == _ONE) {
result = result * x;
result = result % n;
}
x = x * x;
x = x % n;
}
return result;
}
/**
* Finds the smallest positive element that is congruent to a in modulo n
* @param {number|bigint} a An integer
* @param {number|bigint} n The modulo
*
* @returns {bigint} The smallest positive representation of a in modulo n
*/
function toZn(a, n) {
n = BigInt(n);
a = BigInt(a) % n;
return (a < 0) ? a + n : a;
}
exports.abs = abs;
exports.eGcd = eGcd;
exports.gcd = gcd;
exports.lcm = lcm;
exports.modInv = modInv;
exports.modPow = modPow;
exports.toZn = toZn;
return exports;
}({}));

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var bigintModArith=function(a){'use strict';function c(b){return b=BigInt(b),b>=i?b:-b}function d(c,d){c=BigInt(c),d=BigInt(d);let e=i,f=j,g=j,h=i;for(;c!==i;){let a=d/c,b=d%c,i=e-g*a,j=f-h*a;d=c,c=b,e=g,f=h,g=i,h=j}return{b:d,x:e,y:f}}function e(d,e){d=c(d),e=c(e);let f=i;for(;!((d|e)&j);)d>>=j,e>>=j,f++;for(;!(d&j);)d>>=j;do{for(;!(e&j);)e>>=j;if(d>e){let a=d;d=e,e=a}e-=d}while(e);return d<<f}function f(b,a){let c=d(b,a);return c.b===j?h(c.x,a):null}function g(d,e,l){if(l=BigInt(l),d=h(d,l),e=BigInt(e),e<i)return f(g(d,c(e),l),l);let m=j,o=d;for(;0<e;){var p=e%k;e/=k,p==j&&(m*=o,m%=l),o*=o,o%=l}return m}function h(b,c){return c=BigInt(c),b=BigInt(b)%c,0>b?b+c:b}const i=BigInt(0),j=BigInt(1),k=BigInt(2);return a.abs=c,a.eGcd=d,a.gcd=e,a.lcm=function(d,f){return d=BigInt(d),f=BigInt(f),c(d*f)/e(d,f)},a.modInv=f,a.modPow=g,a.toZn=h,a}({});

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const _ZERO = BigInt(0);
const _ONE = BigInt(1);
const _TWO = BigInt(2);
/**
* Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
*
* @param {number|bigint} a
*
* @returns {bigint} the absolute value of a
*/
function abs(a) {
a = BigInt(a);
return (a >= _ZERO) ? a : -a;
}
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
* @property {bigint} x
* @property {bigint} y
*/
/**
* An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
* Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {egcdReturn}
*/
function eGcd(a, b) {
a = BigInt(a);
b = BigInt(b);
let x = _ZERO;
let y = _ONE;
let u = _ONE;
let v = _ZERO;
while (a !== _ZERO) {
let q = b / a;
let r = b % a;
let m = x - (u * q);
let n = y - (v * q);
b = a;
a = r;
x = u;
y = v;
u = m;
v = n;
}
return {
b: b,
x: x,
y: y
};
}
/**
* Greatest-common divisor of two integers based on the iterative binary algorithm.
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The greatest common divisor of a and b
*/
function gcd(a, b) {
a = abs(a);
b = abs(b);
let shift = _ZERO;
while (!((a | b) & _ONE)) {
a >>= _ONE;
b >>= _ONE;
shift++;
}
while (!(a & _ONE)) a >>= _ONE;
do {
while (!(b & _ONE)) b >>= _ONE;
if (a > b) {
let x = a;
a = b;
b = x;
}
b -= a;
} while (b);
// rescale
return a << shift;
}
/**
* The least common multiple computed as abs(a*b)/gcd(a,b)
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The least common multiple of a and b
*/
function lcm(a, b) {
a = BigInt(a);
b = BigInt(b);
return abs(a * b) / gcd(a, b);
}
/**
* Modular inverse.
*
* @param {number|bigint} a The number to find an inverse for
* @param {number|bigint} n The modulo
*
* @returns {bigint} the inverse modulo n
*/
function modInv(a, n) {
let egcd = eGcd(a, n);
if (egcd.b !== _ONE) {
return null; // modular inverse does not exist
} else {
return toZn(egcd.x, n);
}
}
/**
* Modular exponentiation a**b mod n
* @param {number|bigint} a base
* @param {number|bigint} b exponent
* @param {number|bigint} n modulo
*
* @returns {bigint} a**b mod n
*/
function modPow(a, b, n) {
// See Knuth, volume 2, section 4.6.3.
n = BigInt(n);
a = toZn(a, n);
b = BigInt(b);
if (b < _ZERO) {
return modInv(modPow(a, abs(b), n), n);
}
let result = _ONE;
let x = a;
while (b > 0) {
var leastSignificantBit = b % _TWO;
b = b / _TWO;
if (leastSignificantBit == _ONE) {
result = result * x;
result = result % n;
}
x = x * x;
x = x % n;
}
return result;
}
/**
* Finds the smallest positive element that is congruent to a in modulo n
* @param {number|bigint} a An integer
* @param {number|bigint} n The modulo
*
* @returns {bigint} The smallest positive representation of a in modulo n
*/
function toZn(a, n) {
n = BigInt(n);
a = BigInt(a) % n;
return (a < 0) ? a + n : a;
}
export { abs, eGcd, gcd, lcm, modInv, modPow, toZn };

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const _ZERO=BigInt(0),_ONE=BigInt(1),_TWO=BigInt(2);function abs(b){return b=BigInt(b),b>=_ZERO?b:-b}function eGcd(c,d){c=BigInt(c),d=BigInt(d);let e=_ZERO,f=_ONE,g=_ONE,h=_ZERO;for(;c!==_ZERO;){let a=d/c,b=d%c,i=e-g*a,j=f-h*a;d=c,c=b,e=g,f=h,g=i,h=j}return{b:d,x:e,y:f}}function gcd(c,d){c=abs(c),d=abs(d);let e=_ZERO;for(;!((c|d)&_ONE);)c>>=_ONE,d>>=_ONE,e++;for(;!(c&_ONE);)c>>=_ONE;do{for(;!(d&_ONE);)d>>=_ONE;if(c>d){let a=c;c=d,d=a}d-=c}while(d);return c<<e}function lcm(c,d){return c=BigInt(c),d=BigInt(d),abs(c*d)/gcd(c,d)}function modInv(b,a){let c=eGcd(b,a);return c.b===_ONE?toZn(c.x,a):null}function modPow(c,d,e){if(e=BigInt(e),c=toZn(c,e),d=BigInt(d),d<_ZERO)return modInv(modPow(c,abs(d),e),e);let f=_ONE,g=c;for(;0<d;){var h=d%_TWO;d/=_TWO,h==_ONE&&(f*=g,f%=e),g*=g,g%=e}return f}function toZn(b,c){return c=BigInt(c),b=BigInt(b)%c,0>b?b+c:b}export{abs,eGcd,gcd,lcm,modInv,modPow,toZn};

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'use strict';
Object.defineProperty(exports, '__esModule', { value: true });
const _ZERO = BigInt(0);
const _ONE = BigInt(1);
const _TWO = BigInt(2);
/**
* Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
*
* @param {number|bigint} a
*
* @returns {bigint} the absolute value of a
*/
function abs(a) {
a = BigInt(a);
return (a >= _ZERO) ? a : -a;
}
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
* @property {bigint} x
* @property {bigint} y
*/
/**
* An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
* Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {egcdReturn}
*/
function eGcd(a, b) {
a = BigInt(a);
b = BigInt(b);
let x = _ZERO;
let y = _ONE;
let u = _ONE;
let v = _ZERO;
while (a !== _ZERO) {
let q = b / a;
let r = b % a;
let m = x - (u * q);
let n = y - (v * q);
b = a;
a = r;
x = u;
y = v;
u = m;
v = n;
}
return {
b: b,
x: x,
y: y
};
}
/**
* Greatest-common divisor of two integers based on the iterative binary algorithm.
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The greatest common divisor of a and b
*/
function gcd(a, b) {
a = abs(a);
b = abs(b);
let shift = _ZERO;
while (!((a | b) & _ONE)) {
a >>= _ONE;
b >>= _ONE;
shift++;
}
while (!(a & _ONE)) a >>= _ONE;
do {
while (!(b & _ONE)) b >>= _ONE;
if (a > b) {
let x = a;
a = b;
b = x;
}
b -= a;
} while (b);
// rescale
return a << shift;
}
/**
* The least common multiple computed as abs(a*b)/gcd(a,b)
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The least common multiple of a and b
*/
function lcm(a, b) {
a = BigInt(a);
b = BigInt(b);
return abs(a * b) / gcd(a, b);
}
/**
* Modular inverse.
*
* @param {number|bigint} a The number to find an inverse for
* @param {number|bigint} n The modulo
*
* @returns {bigint} the inverse modulo n
*/
function modInv(a, n) {
let egcd = eGcd(a, n);
if (egcd.b !== _ONE) {
return null; // modular inverse does not exist
} else {
return toZn(egcd.x, n);
}
}
/**
* Modular exponentiation a**b mod n
* @param {number|bigint} a base
* @param {number|bigint} b exponent
* @param {number|bigint} n modulo
*
* @returns {bigint} a**b mod n
*/
function modPow(a, b, n) {
// See Knuth, volume 2, section 4.6.3.
n = BigInt(n);
a = toZn(a, n);
b = BigInt(b);
if (b < _ZERO) {
return modInv(modPow(a, abs(b), n), n);
}
let result = _ONE;
let x = a;
while (b > 0) {
var leastSignificantBit = b % _TWO;
b = b / _TWO;
if (leastSignificantBit == _ONE) {
result = result * x;
result = result % n;
}
x = x * x;
x = x % n;
}
return result;
}
/**
* Finds the smallest positive element that is congruent to a in modulo n
* @param {number|bigint} a An integer
* @param {number|bigint} n The modulo
*
* @returns {bigint} The smallest positive representation of a in modulo n
*/
function toZn(a, n) {
n = BigInt(n);
a = BigInt(a) % n;
return (a < 0) ? a + n : a;
}
exports.abs = abs;
exports.eGcd = eGcd;
exports.gcd = gcd;
exports.lcm = lcm;
exports.modInv = modInv;
exports.modPow = modPow;
exports.toZn = toZn;

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var bigintModArith=function(exports){"use strict";const _ZERO=BigInt(0);const _ONE=BigInt(1);const _TWO=BigInt(2);function abs(a){a=BigInt(a);return a>=_ZERO?a:-a}function bitLength(a){a=BigInt(a);if(a===_ONE){return 1}let bits=1;do{bits++}while((a>>=_ONE)>_ONE);return bits}function eGcd(a,b){a=BigInt(a);b=BigInt(b);if(a<=_ZERO|b<=_ZERO){return NaN}let x=_ZERO;let y=_ONE;let u=_ONE;let v=_ZERO;while(a!==_ZERO){const q=b/a;const r=b%a;const m=x-u*q;const n=y-v*q;b=a;a=r;x=u;y=v;u=m;v=n}return{b:b,x:x,y:y}}function gcd(a,b){a=abs(a);b=abs(b);if(a===_ZERO){return b}else if(b===_ZERO){return a}let shift=_ZERO;while(!((a|b)&_ONE)){a>>=_ONE;b>>=_ONE;shift++}while(!(a&_ONE))a>>=_ONE;do{while(!(b&_ONE))b>>=_ONE;if(a>b){const x=a;a=b;b=x}b-=a}while(b);return a<<shift}function lcm(a,b){a=BigInt(a);b=BigInt(b);if(a===_ZERO&&b===_ZERO){return _ZERO}return abs(a*b)/gcd(a,b)}function max(a,b){a=BigInt(a);b=BigInt(b);return a>=b?a:b}function min(a,b){a=BigInt(a);b=BigInt(b);return a>=b?b:a}function modInv(a,n){const egcd=eGcd(toZn(a,n),n);if(egcd.b!==_ONE){return NaN}else{return toZn(egcd.x,n)}}function modPow(b,e,n){n=BigInt(n);if(n===_ZERO){return NaN}else if(n===_ONE){return _ZERO}b=toZn(b,n);e=BigInt(e);if(e<_ZERO){return modInv(modPow(b,abs(e),n),n)}let r=_ONE;while(e>0){if(e%_TWO===_ONE){r=r*b%n}e=e/_TWO;b=b**_TWO%n}return r}function toZn(a,n){n=BigInt(n);if(n<=0){return NaN}a=BigInt(a)%n;return a<0?a+n:a}exports.abs=abs;exports.bitLength=bitLength;exports.eGcd=eGcd;exports.gcd=gcd;exports.lcm=lcm;exports.max=max;exports.min=min;exports.modInv=modInv;exports.modPow=modPow;exports.toZn=toZn;return exports}({});

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const _ZERO=BigInt(0);const _ONE=BigInt(1);const _TWO=BigInt(2);function abs(a){a=BigInt(a);return a>=_ZERO?a:-a}function bitLength(a){a=BigInt(a);if(a===_ONE){return 1}let bits=1;do{bits++}while((a>>=_ONE)>_ONE);return bits}function eGcd(a,b){a=BigInt(a);b=BigInt(b);if(a<=_ZERO|b<=_ZERO){return NaN}let x=_ZERO;let y=_ONE;let u=_ONE;let v=_ZERO;while(a!==_ZERO){const q=b/a;const r=b%a;const m=x-u*q;const n=y-v*q;b=a;a=r;x=u;y=v;u=m;v=n}return{b:b,x:x,y:y}}function gcd(a,b){a=abs(a);b=abs(b);if(a===_ZERO){return b}else if(b===_ZERO){return a}let shift=_ZERO;while(!((a|b)&_ONE)){a>>=_ONE;b>>=_ONE;shift++}while(!(a&_ONE))a>>=_ONE;do{while(!(b&_ONE))b>>=_ONE;if(a>b){const x=a;a=b;b=x}b-=a}while(b);return a<<shift}function lcm(a,b){a=BigInt(a);b=BigInt(b);if(a===_ZERO&&b===_ZERO){return _ZERO}return abs(a*b)/gcd(a,b)}function max(a,b){a=BigInt(a);b=BigInt(b);return a>=b?a:b}function min(a,b){a=BigInt(a);b=BigInt(b);return a>=b?b:a}function modInv(a,n){const egcd=eGcd(toZn(a,n),n);if(egcd.b!==_ONE){return NaN}else{return toZn(egcd.x,n)}}function modPow(b,e,n){n=BigInt(n);if(n===_ZERO){return NaN}else if(n===_ONE){return _ZERO}b=toZn(b,n);e=BigInt(e);if(e<_ZERO){return modInv(modPow(b,abs(e),n),n)}let r=_ONE;while(e>0){if(e%_TWO===_ONE){r=r*b%n}e=e/_TWO;b=b**_TWO%n}return r}function toZn(a,n){n=BigInt(n);if(n<=0){return NaN}a=BigInt(a)%n;return a<0?a+n:a}export{abs,bitLength,eGcd,gcd,lcm,max,min,modInv,modPow,toZn};

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const _ZERO = BigInt(0)
const _ONE = BigInt(1)
const _TWO = BigInt(2)
/**
* Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
*
* @param {number|bigint} a
*
* @returns {bigint} the absolute value of a
*/
function abs (a) {
a = BigInt(a)
return (a >= _ZERO) ? a : -a
}
/**
* Returns the bitlength of a number
*
* @param {number|bigint} a
* @returns {number} - the bit length
*/
function bitLength (a) {
a = BigInt(a)
if (a === _ONE) { return 1 }
let bits = 1
do {
bits++
} while ((a >>= _ONE) > _ONE)
return bits
}
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
* @property {bigint} x
* @property {bigint} y
*/
/**
* An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
* Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/
function eGcd (a, b) {
a = BigInt(a)
b = BigInt(b)
if (a <= _ZERO | b <= _ZERO) { return NaN } // a and b MUST be positive
let x = _ZERO
let y = _ONE
let u = _ONE
let v = _ZERO
while (a !== _ZERO) {
const q = b / a
const r = b % a
const m = x - (u * q)
const n = y - (v * q)
b = a
a = r
x = u
y = v
u = m
v = n
}
return {
b: b,
x: x,
y: y
}
}
/**
* Greatest-common divisor of two integers based on the iterative binary algorithm.
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The greatest common divisor of a and b
*/
function gcd (a, b) {
a = abs(a)
b = abs(b)
if (a === _ZERO) { return b } else if (b === _ZERO) { return a }
let shift = _ZERO
while (!((a | b) & _ONE)) {
a >>= _ONE
b >>= _ONE
shift++
}
while (!(a & _ONE)) a >>= _ONE
do {
while (!(b & _ONE)) b >>= _ONE
if (a > b) {
const x = a
a = b
b = x
}
b -= a
} while (b)
// rescale
return a << shift
}
/**
* The least common multiple computed as abs(a*b)/gcd(a,b)
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The least common multiple of a and b
*/
function lcm (a, b) {
a = BigInt(a)
b = BigInt(b)
if (a === _ZERO && b === _ZERO) { return _ZERO }
return abs(a * b) / gcd(a, b)
}
/**
* Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<=b
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} maximum of numbers a and b
*/
function max (a, b) {
a = BigInt(a)
b = BigInt(b)
return (a >= b) ? a : b
}
/**
* Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<=b
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} minimum of numbers a and b
*/
function min (a, b) {
a = BigInt(a)
b = BigInt(b)
return (a >= b) ? b : a
}
/**
* Modular inverse.
*
* @param {number|bigint} a The number to find an inverse for
* @param {number|bigint} n The modulo
*
* @returns {bigint} the inverse modulo n or NaN if it does not exist
*/
function modInv (a, n) {
const egcd = eGcd(toZn(a, n), n)
if (egcd.b !== _ONE) {
return NaN // modular inverse does not exist
} else {
return toZn(egcd.x, n)
}
}
/**
* Modular exponentiation b**e mod n. Currently using the right-to-left binary method
*
* @param {number|bigint} b base
* @param {number|bigint} e exponent
* @param {number|bigint} n modulo
*
* @returns {bigint} b**e mod n
*/
function modPow (b, e, n) {
n = BigInt(n)
if (n === _ZERO) { return NaN } else if (n === _ONE) { return _ZERO }
b = toZn(b, n)
e = BigInt(e)
if (e < _ZERO) {
return modInv(modPow(b, abs(e), n), n)
}
let r = _ONE
while (e > 0) {
if ((e % _TWO) === _ONE) {
r = (r * b) % n
}
e = e / _TWO
b = b ** _TWO % n
}
return r
}
/**
* Finds the smallest positive element that is congruent to a in modulo n
* @param {number|bigint} a An integer
* @param {number|bigint} n The modulo
*
* @returns {bigint} The smallest positive representation of a in modulo n
*/
function toZn (a, n) {
n = BigInt(n)
if (n <= 0) { return NaN }
a = BigInt(a) % n
return (a < 0) ? a + n : a
}
export { abs, bitLength, eGcd, gcd, lcm, max, min, modInv, modPow, toZn }

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'use strict'
Object.defineProperty(exports, '__esModule', { value: true })
const _ZERO = BigInt(0)
const _ONE = BigInt(1)
const _TWO = BigInt(2)
/**
* Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
*
* @param {number|bigint} a
*
* @returns {bigint} the absolute value of a
*/
function abs (a) {
a = BigInt(a)
return (a >= _ZERO) ? a : -a
}
/**
* Returns the bitlength of a number
*
* @param {number|bigint} a
* @returns {number} - the bit length
*/
function bitLength (a) {
a = BigInt(a)
if (a === _ONE) { return 1 }
let bits = 1
do {
bits++
} while ((a >>= _ONE) > _ONE)
return bits
}
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
* @property {bigint} x
* @property {bigint} y
*/
/**
* An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
* Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/
function eGcd (a, b) {
a = BigInt(a)
b = BigInt(b)
if (a <= _ZERO | b <= _ZERO) { return NaN } // a and b MUST be positive
let x = _ZERO
let y = _ONE
let u = _ONE
let v = _ZERO
while (a !== _ZERO) {
const q = b / a
const r = b % a
const m = x - (u * q)
const n = y - (v * q)
b = a
a = r
x = u
y = v
u = m
v = n
}
return {
b: b,
x: x,
y: y
}
}
/**
* Greatest-common divisor of two integers based on the iterative binary algorithm.
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The greatest common divisor of a and b
*/
function gcd (a, b) {
a = abs(a)
b = abs(b)
if (a === _ZERO) { return b } else if (b === _ZERO) { return a }
let shift = _ZERO
while (!((a | b) & _ONE)) {
a >>= _ONE
b >>= _ONE
shift++
}
while (!(a & _ONE)) a >>= _ONE
do {
while (!(b & _ONE)) b >>= _ONE
if (a > b) {
const x = a
a = b
b = x
}
b -= a
} while (b)
// rescale
return a << shift
}
/**
* The least common multiple computed as abs(a*b)/gcd(a,b)
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The least common multiple of a and b
*/
function lcm (a, b) {
a = BigInt(a)
b = BigInt(b)
if (a === _ZERO && b === _ZERO) { return _ZERO }
return abs(a * b) / gcd(a, b)
}
/**
* Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<=b
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} maximum of numbers a and b
*/
function max (a, b) {
a = BigInt(a)
b = BigInt(b)
return (a >= b) ? a : b
}
/**
* Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<=b
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} minimum of numbers a and b
*/
function min (a, b) {
a = BigInt(a)
b = BigInt(b)
return (a >= b) ? b : a
}
/**
* Modular inverse.
*
* @param {number|bigint} a The number to find an inverse for
* @param {number|bigint} n The modulo
*
* @returns {bigint} the inverse modulo n or NaN if it does not exist
*/
function modInv (a, n) {
const egcd = eGcd(toZn(a, n), n)
if (egcd.b !== _ONE) {
return NaN // modular inverse does not exist
} else {
return toZn(egcd.x, n)
}
}
/**
* Modular exponentiation b**e mod n. Currently using the right-to-left binary method
*
* @param {number|bigint} b base
* @param {number|bigint} e exponent
* @param {number|bigint} n modulo
*
* @returns {bigint} b**e mod n
*/
function modPow (b, e, n) {
n = BigInt(n)
if (n === _ZERO) { return NaN } else if (n === _ONE) { return _ZERO }
b = toZn(b, n)
e = BigInt(e)
if (e < _ZERO) {
return modInv(modPow(b, abs(e), n), n)
}
let r = _ONE
while (e > 0) {
if ((e % _TWO) === _ONE) {
r = (r * b) % n
}
e = e / _TWO
b = b ** _TWO % n
}
return r
}
/**
* Finds the smallest positive element that is congruent to a in modulo n
* @param {number|bigint} a An integer
* @param {number|bigint} n The modulo
*
* @returns {bigint} The smallest positive representation of a in modulo n
*/
function toZn (a, n) {
n = BigInt(n)
if (n <= 0) { return NaN }
a = BigInt(a) % n
return (a < 0) ? a + n : a
}
exports.abs = abs
exports.bitLength = bitLength
exports.eGcd = eGcd
exports.gcd = gcd
exports.lcm = lcm
exports.max = max
exports.min = min
exports.modInv = modInv
exports.modPow = modPow
exports.toZn = toZn

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"url": "https://github.com/juanelas" "url": "https://github.com/juanelas"
}, },
"repository": "github:juanelas/bigint-mod-arith", "repository": "github:juanelas/bigint-mod-arith",
"main": "./dist/bigint-mod-arith-latest.node.js", "main": "./lib/index.node.js",
"browser": "./dist/bigint-mod-arith-latest.browser.mod.js", "browser": "./lib/index.browser.mod.js",
"types": "./types/index.d.ts",
"directories": { "directories": {
"build": "./build", "build": "./build",
"dist": "./dist", "lib": "./lib",
"src": "./src" "src": "./src",
"test": "./test",
"types": "./types"
}, },
"scripts": { "scripts": {
"build": "node build/build.rollup.js", "test": "mocha",
"build:docs": "jsdoc2md --template=README.hbs --files ./src/main.js > README.md", "build:js": "rollup -c build/rollup.config.js",
"build:all": "npm run build && npm run build:docs", "build:standard": "standard --fix",
"prepublishOnly": "npm run build && npm run build:docs" "build:browserTests": "rollup -c build/rollup.tests.config.js",
"build:docs": "jsdoc2md --template=./src/doc/readme-template.md --files ./lib/index.browser.mod.js -d 3 -g none > README.md",
"build:dts": "node build/build.dts.js",
"build": "run-s build:**",
"prepublishOnly": "npm run build"
},
"standard": {
"env": [
"mocha"
],
"globals": [
"BigInt"
],
"ignore": [
"/test/browser/",
"/lib/index.browser.bundle.js",
"/lib/index.browser.bundle.mod.js"
]
}, },
"devDependencies": { "devDependencies": {
"jsdoc-to-markdown": "^4.0.1", "@rollup/plugin-commonjs": "^11.0.2",
"rollup": "^1.10.1", "@rollup/plugin-multi-entry": "^3.0.0",
"rollup-plugin-babel-minify": "^8.0.0", "@rollup/plugin-node-resolve": "^7.1.1",
"rollup-plugin-commonjs": "^9.3.4" "@rollup/plugin-replace": "^2.3.1",
"chai": "^4.2.0",
"jsdoc-to-markdown": "^5.0.3",
"mocha": "^7.1.1",
"npm-run-all": "^4.1.5",
"rollup": "^2.3.3",
"rollup-plugin-terser": "^5.3.0",
"standard": "^14.3.3",
"typescript": "^3.8.3"
} }
} }

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<!DOCTYPE html>
<html>
<head>
<title>{{PKG_NAME}} - Mocha Tests</title>
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/mocha/{{MOCHA_VERSION}}/mocha.min.css">
<script src="https://cdnjs.cloudflare.com/ajax/libs/mocha/{{MOCHA_VERSION}}/mocha.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/chai/{{CHAI_VERSION}}/chai.min.js"></script>
</head>
<body>
<div id="mocha"></div>
<script>mocha.setup('bdd'); mocha.setup({ timeout: 90000 });</script>
{{TESTS}}
</body>
</html>

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[![JavaScript Style Guide](https://img.shields.io/badge/code_style-standard-brightgreen.svg)](https://standardjs.com)
# bigint-mod-arith
Some extra functions to work with modular arithmetic using native JS ([ES-2020](https://tc39.es/ecma262/#sec-bigint-objects)) implementation of BigInt. It can be used by any [Web Browser or webview supporting BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility) and with Node.js (>=10.4.0).
> The operations supported on BigInts are not constant time. BigInt can be therefore **[unsuitable for use in cryptography](https://www.chosenplaintext.ca/articles/beginners-guide-constant-time-cryptography.html).** Many platforms provide native support for cryptography, such as [Web Cryptography API](https://w3c.github.io/webcrypto/) or [Node.js Crypto](https://nodejs.org/dist/latest/docs/api/crypto.html).
## Installation
bigint-mod-arith is distributed for [web browsers and/or webviews supporting BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility) as an ES6 module or an IIFE file; and for Node.js (>=10.4.0), as a CJS module.
bigint-mod-arith can be imported to your project with `npm`:
```bash
npm install bigint-mod-arith
```
NPM installation defaults to the ES6 module for browsers and the CJS one for Node.js.
For web browsers, you can also directly download the [IIFE bundle](https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/lib/index.browser.bundle.js) or the [ES6 bundle module](https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/lib/index.browser.bundle.mod.js) from GitHub.
## Usage example
Import your module as :
- Node.js
```javascript
const bigintCryptoUtils = require('bigint-mod-arith')
... // your code here
```
- JavaScript native project
```javascript
import * as bigintCryptoUtils from 'bigint-mod-arith'
... // your code here
```
- Javascript native browser ES6 mod
```html
<script type="module">
import * as bigintCryptoUtils from 'lib/index.browser.bundle.mod.js' // Use you actual path to the broser mod bundle
... // your code here
</script>
import as bcu from 'bigint-mod-arith'
... // your code here
```
- JavaScript native browser IIFE
```html
<script src="../../lib/index.browser.bundle.js"></script>
<script>
... // your code here
</script>
- TypeScript
```typescript
import * as bigintCryptoUtils from 'bigint-mod-arith'
... // your code here
```
> BigInt is [ES-2020](https://tc39.es/ecma262/#sec-bigint-objects). In order to use it with TypeScript you should set `lib` (and probably also `target` and `module`) to `esnext` in `tsconfig.json`.
```javascript
/* Stage 3 BigInts with value 666 can be declared as BigInt('666')
or the shorter new no-so-linter-friendly syntax 666n.
Notice that you can also pass a number, e.g. BigInt(666), but it is not
recommended since values over 2**53 - 1 won't be safe but no warning will
be raised.
*/
const a = BigInt('5')
const b = BigInt('2')
const n = BigInt('19')
console.log(bigintCryptoUtils.modPow(a, b, n)) // prints 6
console.log(bigintCryptoUtils.modInv(BigInt('2'), BigInt('5'))) // prints 3
console.log(bigintCryptoUtils.modInv(BigInt('3'), BigInt('5'))) // prints 2
```
## JS Doc
{{>main}}

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const _ZERO = BigInt(0)
const _ONE = BigInt(1)
const _TWO = BigInt(2)
/**
* Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
*
* @param {number|bigint} a
*
* @returns {bigint} the absolute value of a
*/
export function abs (a) {
a = BigInt(a)
return (a >= _ZERO) ? a : -a
}
/**
* Returns the bitlength of a number
*
* @param {number|bigint} a
* @returns {number} - the bit length
*/
export function bitLength (a) {
a = BigInt(a)
if (a === _ONE) { return 1 }
let bits = 1
do {
bits++
} while ((a >>= _ONE) > _ONE)
return bits
}
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
* @property {bigint} x
* @property {bigint} y
*/
/**
* An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
* Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/
export function eGcd (a, b) {
a = BigInt(a)
b = BigInt(b)
if (a <= _ZERO | b <= _ZERO) { return NaN } // a and b MUST be positive
let x = _ZERO
let y = _ONE
let u = _ONE
let v = _ZERO
while (a !== _ZERO) {
const q = b / a
const r = b % a
const m = x - (u * q)
const n = y - (v * q)
b = a
a = r
x = u
y = v
u = m
v = n
}
return {
b: b,
x: x,
y: y
}
}
/**
* Greatest-common divisor of two integers based on the iterative binary algorithm.
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The greatest common divisor of a and b
*/
export function gcd (a, b) {
a = abs(a)
b = abs(b)
if (a === _ZERO) { return b } else if (b === _ZERO) { return a }
let shift = _ZERO
while (!((a | b) & _ONE)) {
a >>= _ONE
b >>= _ONE
shift++
}
while (!(a & _ONE)) a >>= _ONE
do {
while (!(b & _ONE)) b >>= _ONE
if (a > b) {
const x = a
a = b
b = x
}
b -= a
} while (b)
// rescale
return a << shift
}
/**
* The least common multiple computed as abs(a*b)/gcd(a,b)
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The least common multiple of a and b
*/
export function lcm (a, b) {
a = BigInt(a)
b = BigInt(b)
if (a === _ZERO && b === _ZERO) { return _ZERO }
return abs(a * b) / gcd(a, b)
}
/**
* Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<=b
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} maximum of numbers a and b
*/
export function max (a, b) {
a = BigInt(a)
b = BigInt(b)
return (a >= b) ? a : b
}
/**
* Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<=b
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} minimum of numbers a and b
*/
export function min (a, b) {
a = BigInt(a)
b = BigInt(b)
return (a >= b) ? b : a
}
/**
* Modular inverse.
*
* @param {number|bigint} a The number to find an inverse for
* @param {number|bigint} n The modulo
*
* @returns {bigint} the inverse modulo n or NaN if it does not exist
*/
export function modInv (a, n) {
const egcd = eGcd(toZn(a, n), n)
if (egcd.b !== _ONE) {
return NaN // modular inverse does not exist
} else {
return toZn(egcd.x, n)
}
}
/**
* Modular exponentiation b**e mod n. Currently using the right-to-left binary method
*
* @param {number|bigint} b base
* @param {number|bigint} e exponent
* @param {number|bigint} n modulo
*
* @returns {bigint} b**e mod n
*/
export function modPow (b, e, n) {
n = BigInt(n)
if (n === _ZERO) { return NaN } else if (n === _ONE) { return _ZERO }
b = toZn(b, n)
e = BigInt(e)
if (e < _ZERO) {
return modInv(modPow(b, abs(e), n), n)
}
let r = _ONE
while (e > 0) {
if ((e % _TWO) === _ONE) {
r = (r * b) % n
}
e = e / _TWO
b = b ** _TWO % n
}
return r
}
/**
* Finds the smallest positive element that is congruent to a in modulo n
* @param {number|bigint} a An integer
* @param {number|bigint} n The modulo
*
* @returns {bigint} The smallest positive representation of a in modulo n
*/
export function toZn (a, n) {
n = BigInt(n)
if (n <= 0) { return NaN }
a = BigInt(a) % n
return (a < 0) ? a + n : a
}

165
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'use strict';
const _ZERO = BigInt(0);
const _ONE = BigInt(1);
const _TWO = BigInt(2);
/**
* Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
*
* @param {number|bigint} a
*
* @returns {bigint} the absolute value of a
*/
export function abs(a) {
a = BigInt(a);
return (a >= _ZERO) ? a : -a;
}
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
* @property {bigint} x
* @property {bigint} y
*/
/**
* An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
* Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {egcdReturn}
*/
export function eGcd(a, b) {
a = BigInt(a);
b = BigInt(b);
let x = _ZERO;
let y = _ONE;
let u = _ONE;
let v = _ZERO;
while (a !== _ZERO) {
let q = b / a;
let r = b % a;
let m = x - (u * q);
let n = y - (v * q);
b = a;
a = r;
x = u;
y = v;
u = m;
v = n;
}
return {
b: b,
x: x,
y: y
};
}
/**
* Greatest-common divisor of two integers based on the iterative binary algorithm.
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The greatest common divisor of a and b
*/
export function gcd(a, b) {
a = abs(a);
b = abs(b);
let shift = _ZERO;
while (!((a | b) & _ONE)) {
a >>= _ONE;
b >>= _ONE;
shift++;
}
while (!(a & _ONE)) a >>= _ONE;
do {
while (!(b & _ONE)) b >>= _ONE;
if (a > b) {
let x = a;
a = b;
b = x;
}
b -= a;
} while (b);
// rescale
return a << shift;
}
/**
* The least common multiple computed as abs(a*b)/gcd(a,b)
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The least common multiple of a and b
*/
export function lcm(a, b) {
a = BigInt(a);
b = BigInt(b);
return abs(a * b) / gcd(a, b);
}
/**
* Modular inverse.
*
* @param {number|bigint} a The number to find an inverse for
* @param {number|bigint} n The modulo
*
* @returns {bigint} the inverse modulo n
*/
export function modInv(a, n) {
let egcd = eGcd(a, n);
if (egcd.b !== _ONE) {
return null; // modular inverse does not exist
} else {
return toZn(egcd.x, n);
}
}
/**
* Modular exponentiation a**b mod n
* @param {number|bigint} a base
* @param {number|bigint} b exponent
* @param {number|bigint} n modulo
*
* @returns {bigint} a**b mod n
*/
export function modPow(a, b, n) {
// See Knuth, volume 2, section 4.6.3.
n = BigInt(n);
a = toZn(a, n);
b = BigInt(b);
if (b < _ZERO) {
return modInv(modPow(a, abs(b), n), n);
}
let result = _ONE;
let x = a;
while (b > 0) {
var leastSignificantBit = b % _TWO;
b = b / _TWO;
if (leastSignificantBit == _ONE) {
result = result * x;
result = result % n;
}
x = x * x;
x = x % n;
}
return result;
}
/**
* Finds the smallest positive element that is congruent to a in modulo n
* @param {number|bigint} a An integer
* @param {number|bigint} n The modulo
*
* @returns {bigint} The smallest positive representation of a in modulo n
*/
export function toZn(a, n) {
n = BigInt(n);
a = BigInt(a) % n;
return (a < 0) ? a + n : a;
}

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'use strict'
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
const _pkg = require('../lib/index.node')
const chai = require('chai')
// <--
const inputs = [
{
value: BigInt(1),
abs: BigInt(1)
},
{
value: BigInt(-2),
abs: BigInt(2)
},
{
value: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'),
abs: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'),
abs: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
}
]
describe('abs', function () {
for (const input of inputs) {
describe(`abs(${input.value})`, function () {
it(`should return ${input.abs}`, function () {
const ret = _pkg.abs(input.value)
chai.expect(ret).to.equal(input.abs)
})
})
}
})

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test/bitLength.js Normal file
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'use strict'
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
const _pkg = require('../lib/index.node')
const chai = require('chai')
// <--
const inputs = [
{
value: BigInt(1),
bitLength: 1
},
{
value: BigInt(-2),
bitLength: 2
},
{
value: BigInt(11592217955149597331),
abs: BigInt(11592217955149597331),
bitLength: 64
}
]
describe('bitLength', function () {
for (const input of inputs) {
describe(`bitLength(${input.value})`, function () {
it(`should return ${input.bitLength}`, function () {
const ret = _pkg.bitLength(input.value)
chai.expect(ret).to.equal(input.bitLength)
})
})
}
})

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test/browser/index.html Normal file
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<!DOCTYPE html>
<html>
<head>
<title>bigint-mod-arith - Mocha Tests</title>
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/mocha/7.1.1/mocha.min.css">
<script src="https://cdnjs.cloudflare.com/ajax/libs/mocha/7.1.1/mocha.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/chai/4.2.0/chai.min.js"></script>
</head>
<body>
<div id="mocha"></div>
<script>mocha.setup('bdd'); mocha.setup({ timeout: 90000 });</script>
<script type="module">
import * as _pkg from '../../../lib/index.browser.bundle.mod.js'
window._pkg = _pkg;
import './tests.js';
mocha.run();
</script>
</body>
</html>

490
test/browser/tests.js Normal file
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// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
// <--
const inputs = [
{
value: BigInt(1),
abs: BigInt(1)
},
{
value: BigInt(-2),
abs: BigInt(2)
},
{
value: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'),
abs: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'),
abs: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
}
];
describe('abs', function () {
for (const input of inputs) {
describe(`abs(${input.value})`, function () {
it(`should return ${input.abs}`, function () {
const ret = _pkg.abs(input.value);
chai.expect(ret).to.equal(input.abs);
});
});
}
});
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
// <--
const inputs$1 = [
{
value: BigInt(1),
bitLength: 1
},
{
value: BigInt(-2),
bitLength: 2
},
{
value: BigInt(11592217955149597331),
abs: BigInt(11592217955149597331),
bitLength: 64
}
];
describe('bitLength', function () {
for (const input of inputs$1) {
describe(`bitLength(${input.value})`, function () {
it(`should return ${input.bitLength}`, function () {
const ret = _pkg.bitLength(input.value);
chai.expect(ret).to.equal(input.bitLength);
});
});
}
});
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
// <--
const inputs$2 = [
{
a: BigInt(1),
b: BigInt(1),
gcd: BigInt(1)
},
{
a: BigInt(0),
b: BigInt(189),
gcd: BigInt(189)
},
{
a: BigInt(189),
b: BigInt(0),
gcd: BigInt(189)
},
{
a: BigInt(0),
b: BigInt(0),
gcd: BigInt(0)
},
{
a: BigInt(1),
b: BigInt('14546149867129487614601346814'),
gcd: BigInt(1)
},
{
a: BigInt(27),
b: BigInt(18),
gcd: BigInt(9)
},
{
a: BigInt(-27),
b: BigInt(18),
gcd: BigInt(9)
},
{
a: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109'),
b: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243'),
gcd: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109')
}
];
describe('gcd', function () {
for (const input of inputs$2) {
describe(`gcd(${input.a}, ${input.b})`, function () {
it(`should return ${input.gcd}`, function () {
const ret = _pkg.gcd(input.a, input.b);
chai.expect(ret).to.equal(input.gcd);
});
});
}
});
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
// <--
const inputs$3 = [
{
a: BigInt(1),
b: BigInt(1),
lcm: BigInt(1)
},
{
a: BigInt(1),
b: BigInt('14546149867129487614601346814'),
lcm: BigInt('14546149867129487614601346814')
},
{
a: BigInt(27),
b: BigInt(18),
lcm: BigInt(27) * BigInt(2)
},
{
a: BigInt(-27),
b: BigInt(18),
lcm: BigInt(27) * BigInt(2)
},
{
a: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109'),
b: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243'),
lcm: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243')
}
];
describe('lcm', function () {
for (const input of inputs$3) {
describe(`lcm(${input.a}, ${input.b})`, function () {
it(`should return ${input.lcm}`, function () {
const ret = _pkg.lcm(input.a, input.b);
chai.expect(ret).to.equal(input.lcm);
});
});
}
});
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
// <--
const inputs$4 = [
{
value: [BigInt(1), BigInt(2)],
max: BigInt(2)
},
{
value: [BigInt(2), BigInt(1)],
max: BigInt(2)
},
{
value: [BigInt(2), BigInt(2)],
max: BigInt(2)
},
{
value: [BigInt(1), BigInt(-2)],
max: BigInt(1)
},
{
value: [BigInt(-2), BigInt(1)],
max: BigInt(1)
},
{
value: [BigInt(-2), BigInt(-2)],
max: BigInt(-2)
},
{
value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
},
{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
},
{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: [BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
max: BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: [BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
max: BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
max: BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
max: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
}
];
describe('max', function () {
for (const input of inputs$4) {
describe(`max(${input.value[0]}, ${input.value[1]})`, function () {
it(`should return ${input.max}`, function () {
const ret = _pkg.max(input.value[0], input.value[1]);
chai.expect(ret).to.equal(input.max);
});
});
}
});
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
// <--
const inputs$5 = [
{
value: [BigInt(1), BigInt(2)],
min: BigInt(1)
},
{
value: [BigInt(2), BigInt(1)],
min: BigInt(1)
},
{
value: [BigInt(2), BigInt(2)],
min: BigInt(2)
},
{
value: [BigInt(1), BigInt(-2)],
min: BigInt(-2)
},
{
value: [BigInt(-2), BigInt(1)],
min: BigInt(-2)
},
{
value: [BigInt(-2), BigInt(-2)],
min: BigInt(-2)
},
{
value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
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},
{
value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
}
];
describe('min', function () {
for (const input of inputs$5) {
describe(`min(${input.value[0]}, ${input.value[1]})`, function () {
it(`should return ${input.min}`, function () {
const ret = _pkg.min(input.value[0], input.value[1]);
chai.expect(ret).to.equal(input.min);
});
});
}
});
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
// <--
const inputs$6 = [
{
a: BigInt(1),
n: BigInt(19),
modInv: BigInt(1)
},
{
a: BigInt(2),
n: BigInt(5),
modInv: BigInt(3)
},
{
a: BigInt(-2),
n: BigInt(5),
modInv: BigInt(2)
},
{
a: BigInt(2),
n: BigInt(4),
modInv: NaN
}
];
describe('modInv', function () {
for (const input of inputs$6) {
describe(`modInv(${input.a}, ${input.n})`, function () {
it(`should return ${input.modInv}`, function () {
const ret = _pkg.modInv(input.a, input.n);
// chai.assert( String(ret) === String(input.modInv) );
chai.expect(String(ret)).to.be.equal(String(input.modInv));
});
});
}
});
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
// <--
const inputs$7 = [
{
a: BigInt(4),
b: BigInt(-1),
n: BigInt(19),
modPow: BigInt(5)
},
{
a: BigInt(-5),
b: BigInt(2),
n: BigInt(7),
modPow: BigInt(4)
},
{
a: BigInt(2),
b: BigInt(255),
n: BigInt(64),
modPow: BigInt(0)
},
{
a: BigInt(3),
b: BigInt(3),
n: BigInt(25),
modPow: BigInt(2)
}
];
describe('modPow', function () {
this.timeout(90000);
for (const input of inputs$7) {
describe(`modPow(${input.a}, ${input.b}, ${input.n})`, function () {
it(`should return ${input.modPow}`, function () {
const ret = _pkg.modPow(input.a, input.b, input.n);
chai.expect(ret).to.equal(input.modPow);
});
});
}
describe('Time profiling', function () {
let iterations = 500;
it(`just testing ${iterations} iterations of a big modular exponentiation (1024 bits)`, function () {
const p = BigInt('103920301461718841589267304263845359224454055603847417021399996422142529929535423886894599506329362009085557636432288745748144369296043048325513558512136442971686130986388589421125262751724362880217790112013162815676017250234401214198365302142787009943498370856167174244675719638815809347261773472114842038647');
const b = BigInt('313632271690673451924314047671460131678794095260951233878123501752357966284491455239133687519908410656818506813151659324961829045286402303082891913186909806785080978448037486178337722667190743610785429936585699831407575170854873682955317589189564880931807976657385223632835801016017549762825562427694700595');
const e = BigInt('452149997592306202232720864363485824701879487303880767747217308770351197801836846325633986474037061753983278534192061455638289551714281047915315943771002615269860312318606105460307037327329178890486613832051027105330475852552183444938408408863970975090778239473049899109989825645608770309107015209564444316');
while (iterations > 0) {
_pkg.modPow(b, e, p);
iterations--;
}
});
});
});
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
// <--
const inputs$8 = [
{
a: BigInt(1),
n: BigInt(19),
toZn: BigInt(1)
},
{
a: BigInt(-25),
n: BigInt(9),
toZn: BigInt(2)
},
{
a: BigInt('12359782465012847510249'),
n: BigInt(5),
toZn: BigInt(4)
}
];
describe('toZn', function () {
for (const input of inputs$8) {
describe(`toZn(${input.a}, ${input.n})`, function () {
it(`should return ${input.toZn}`, function () {
const ret = _pkg.toZn(input.a, input.n);
chai.expect(ret).to.equal(input.toZn);
});
});
}
});

61
test/gcd.js Normal file
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@ -0,0 +1,61 @@
'use strict'
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
const _pkg = require('../lib/index.node')
const chai = require('chai')
// <--
const inputs = [
{
a: BigInt(1),
b: BigInt(1),
gcd: BigInt(1)
},
{
a: BigInt(0),
b: BigInt(189),
gcd: BigInt(189)
},
{
a: BigInt(189),
b: BigInt(0),
gcd: BigInt(189)
},
{
a: BigInt(0),
b: BigInt(0),
gcd: BigInt(0)
},
{
a: BigInt(1),
b: BigInt('14546149867129487614601346814'),
gcd: BigInt(1)
},
{
a: BigInt(27),
b: BigInt(18),
gcd: BigInt(9)
},
{
a: BigInt(-27),
b: BigInt(18),
gcd: BigInt(9)
},
{
a: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109'),
b: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243'),
gcd: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109')
}
]
describe('gcd', function () {
for (const input of inputs) {
describe(`gcd(${input.a}, ${input.b})`, function () {
it(`should return ${input.gcd}`, function () {
const ret = _pkg.gcd(input.a, input.b)
chai.expect(ret).to.equal(input.gcd)
})
})
}
})

46
test/lcm.js Normal file
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@ -0,0 +1,46 @@
'use strict'
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
const _pkg = require('../lib/index.node')
const chai = require('chai')
// <--
const inputs = [
{
a: BigInt(1),
b: BigInt(1),
lcm: BigInt(1)
},
{
a: BigInt(1),
b: BigInt('14546149867129487614601346814'),
lcm: BigInt('14546149867129487614601346814')
},
{
a: BigInt(27),
b: BigInt(18),
lcm: BigInt(27) * BigInt(2)
},
{
a: BigInt(-27),
b: BigInt(18),
lcm: BigInt(27) * BigInt(2)
},
{
a: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109'),
b: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243'),
lcm: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243')
}
]
describe('lcm', function () {
for (const input of inputs) {
describe(`lcm(${input.a}, ${input.b})`, function () {
it(`should return ${input.lcm}`, function () {
const ret = _pkg.lcm(input.a, input.b)
chai.expect(ret).to.equal(input.lcm)
})
})
}
})

93
test/max.js Normal file
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@ -0,0 +1,93 @@
'use strict'
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
const _pkg = require('../lib/index.node')
const chai = require('chai')
// <--
const inputs = [
{
value: [BigInt(1), BigInt(2)],
max: BigInt(2)
},
{
value: [BigInt(2), BigInt(1)],
max: BigInt(2)
},
{
value: [BigInt(2), BigInt(2)],
max: BigInt(2)
},
{
value: [BigInt(1), BigInt(-2)],
max: BigInt(1)
},
{
value: [BigInt(-2), BigInt(1)],
max: BigInt(1)
},
{
value: [BigInt(-2), BigInt(-2)],
max: BigInt(-2)
},
{
value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
},
{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
},
{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
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{
value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
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{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
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{
value: [BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
max: BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
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max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
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max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
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max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
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max: BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
max: BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
max: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
}
]
describe('max', function () {
for (const input of inputs) {
describe(`max(${input.value[0]}, ${input.value[1]})`, function () {
it(`should return ${input.max}`, function () {
const ret = _pkg.max(input.value[0], input.value[1])
chai.expect(ret).to.equal(input.max)
})
})
}
})

93
test/min.js Normal file
View File

@ -0,0 +1,93 @@
'use strict'
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
const _pkg = require('../lib/index.node')
const chai = require('chai')
// <--
const inputs = [
{
value: [BigInt(1), BigInt(2)],
min: BigInt(1)
},
{
value: [BigInt(2), BigInt(1)],
min: BigInt(1)
},
{
value: [BigInt(2), BigInt(2)],
min: BigInt(2)
},
{
value: [BigInt(1), BigInt(-2)],
min: BigInt(-2)
},
{
value: [BigInt(-2), BigInt(1)],
min: BigInt(-2)
},
{
value: [BigInt(-2), BigInt(-2)],
min: BigInt(-2)
},
{
value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
},
{
value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
},
{
value: [BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
min: BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
},
{
value: [BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
min: BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
min: BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
min: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
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min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
},
{
value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
}
]
describe('min', function () {
for (const input of inputs) {
describe(`min(${input.value[0]}, ${input.value[1]})`, function () {
it(`should return ${input.min}`, function () {
const ret = _pkg.min(input.value[0], input.value[1])
chai.expect(ret).to.equal(input.min)
})
})
}
})

42
test/modInv.js Normal file
View File

@ -0,0 +1,42 @@
'use strict'
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
const _pkg = require('../lib/index.node')
const chai = require('chai')
// <--
const inputs = [
{
a: BigInt(1),
n: BigInt(19),
modInv: BigInt(1)
},
{
a: BigInt(2),
n: BigInt(5),
modInv: BigInt(3)
},
{
a: BigInt(-2),
n: BigInt(5),
modInv: BigInt(2)
},
{
a: BigInt(2),
n: BigInt(4),
modInv: NaN
}
]
describe('modInv', function () {
for (const input of inputs) {
describe(`modInv(${input.a}, ${input.n})`, function () {
it(`should return ${input.modInv}`, function () {
const ret = _pkg.modInv(input.a, input.n)
// chai.assert( String(ret) === String(input.modInv) );
chai.expect(String(ret)).to.be.equal(String(input.modInv))
})
})
}
})

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test/modPow.js Normal file
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'use strict'
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
const _pkg = require('../lib/index.node')
const chai = require('chai')
// <--
const inputs = [
{
a: BigInt(4),
b: BigInt(-1),
n: BigInt(19),
modPow: BigInt(5)
},
{
a: BigInt(-5),
b: BigInt(2),
n: BigInt(7),
modPow: BigInt(4)
},
{
a: BigInt(2),
b: BigInt(255),
n: BigInt(64),
modPow: BigInt(0)
},
{
a: BigInt(3),
b: BigInt(3),
n: BigInt(25),
modPow: BigInt(2)
}
]
describe('modPow', function () {
this.timeout(90000)
for (const input of inputs) {
describe(`modPow(${input.a}, ${input.b}, ${input.n})`, function () {
it(`should return ${input.modPow}`, function () {
const ret = _pkg.modPow(input.a, input.b, input.n)
chai.expect(ret).to.equal(input.modPow)
})
})
}
describe('Time profiling', function () {
let iterations = 500
it(`just testing ${iterations} iterations of a big modular exponentiation (1024 bits)`, function () {
const p = BigInt('103920301461718841589267304263845359224454055603847417021399996422142529929535423886894599506329362009085557636432288745748144369296043048325513558512136442971686130986388589421125262751724362880217790112013162815676017250234401214198365302142787009943498370856167174244675719638815809347261773472114842038647')
const b = BigInt('313632271690673451924314047671460131678794095260951233878123501752357966284491455239133687519908410656818506813151659324961829045286402303082891913186909806785080978448037486178337722667190743610785429936585699831407575170854873682955317589189564880931807976657385223632835801016017549762825562427694700595')
const e = BigInt('452149997592306202232720864363485824701879487303880767747217308770351197801836846325633986474037061753983278534192061455638289551714281047915315943771002615269860312318606105460307037327329178890486613832051027105330475852552183444938408408863970975090778239473049899109989825645608770309107015209564444316')
while (iterations > 0) {
_pkg.modPow(b, e, p)
iterations--
}
})
})
})

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test/toZn.js Normal file
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'use strict'
// Every test file (you can create as many as you want) should start like this
// Please, do NOT touch. They will be automatically removed for browser tests -->
const _pkg = require('../lib/index.node')
const chai = require('chai')
// <--
const inputs = [
{
a: BigInt(1),
n: BigInt(19),
toZn: BigInt(1)
},
{
a: BigInt(-25),
n: BigInt(9),
toZn: BigInt(2)
},
{
a: BigInt('12359782465012847510249'),
n: BigInt(5),
toZn: BigInt(4)
}
]
describe('toZn', function () {
for (const input of inputs) {
describe(`toZn(${input.a}, ${input.n})`, function () {
it(`should return ${input.toZn}`, function () {
const ret = _pkg.toZn(input.a, input.n)
chai.expect(ret).to.equal(input.toZn)
})
})
}
})

101
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/**
* A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/
export type egcdReturn = {
g: bigint;
x: bigint;
y: bigint;
};
/**
* Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
*
* @param {number|bigint} a
*
* @returns {bigint} the absolute value of a
*/
export function abs(a: number | bigint): bigint;
/**
* Returns the bitlength of a number
*
* @param {number|bigint} a
* @returns {number} - the bit length
*/
export function bitLength(a: number | bigint): number;
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
* @property {bigint} x
* @property {bigint} y
*/
/**
* An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
* Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/
export function eGcd(a: number | bigint, b: number | bigint): egcdReturn;
/**
* Greatest-common divisor of two integers based on the iterative binary algorithm.
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The greatest common divisor of a and b
*/
export function gcd(a: number | bigint, b: number | bigint): bigint;
/**
* The least common multiple computed as abs(a*b)/gcd(a,b)
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} The least common multiple of a and b
*/
export function lcm(a: number | bigint, b: number | bigint): bigint;
/**
* Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<=b
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} maximum of numbers a and b
*/
export function max(a: number | bigint, b: number | bigint): bigint;
/**
* Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<=b
*
* @param {number|bigint} a
* @param {number|bigint} b
*
* @returns {bigint} minimum of numbers a and b
*/
export function min(a: number | bigint, b: number | bigint): bigint;
/**
* Modular inverse.
*
* @param {number|bigint} a The number to find an inverse for
* @param {number|bigint} n The modulo
*
* @returns {bigint} the inverse modulo n or NaN if it does not exist
*/
export function modInv(a: number | bigint, n: number | bigint): bigint;
/**
* Modular exponentiation b**e mod n. Currently using the right-to-left binary method
*
* @param {number|bigint} b base
* @param {number|bigint} e exponent
* @param {number|bigint} n modulo
*
* @returns {bigint} b**e mod n
*/
export function modPow(b: number | bigint, e: number | bigint, n: number | bigint): bigint;
/**
* Finds the smallest positive element that is congruent to a in modulo n
* @param {number|bigint} a An integer
* @param {number|bigint} n The modulo
*
* @returns {bigint} The smallest positive representation of a in modulo n
*/
export function toZn(a: number | bigint, n: number | bigint): bigint;