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bigint-crypto-utils
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modpow with crt; crt; modAdd; modMultiply; phi

This commit is contained in:
Juanelas 2023-06-28 19:35:42 +02:00
parent e7d607a0d1
commit 7ae82f2c21
21 changed files with 768 additions and 275 deletions
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2
.github/workflows/build-and-test.yml vendored
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@ -33,7 +33,7 @@ jobs:
strategy:
matrix:
os: [ubuntu-latest, windows-latest, macos-latest]
node-version: [14.x, 16.x, 18.x]
node-version: [16.x, 18.x, 20.x]
# When set to true, GitHub cancels all in-progress jobs if any matrix job fails.
fail-fast: false
# The maximum number of jobs that can run simultaneously. Set to 1 if you can't run tests in parallel

4
.gitignore vendored
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@ -9,8 +9,7 @@ node_modules
# Output of 'npm pack'
*.tgz
# MYC output
.nyc_output
# Coverage
coverage
# Environment files
@ -19,6 +18,7 @@ coverage
# Test temporal files
.mocha-ts
.tsconfig.json
.types
# docs temporal files
.nojekyll

24
.npmignore
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@ -1,9 +1,14 @@
# Code examples
examples
# Build scripts
build
# Test files
test
__tests__
**/*.spec.ts
test-vectors
# Logs
logs
@ -19,8 +24,7 @@ npm-debug.log*
# IntelliJ
.idea
# MYC output
.nyc_output
# Coverage
coverage
# GitHub
@ -33,18 +37,26 @@ coverage
# tsconfig
tsconfig.json
# SRC docs
src/docs
# SRC
src
# Environment files
*.env
*.env.*
# Test temporal files
.mocha-ts
.tsconfig.json
.types
# docs temporal files
.nojekyll
# Examples
examples
# code of conduct
CODE_OF_CONDUCT.md
# TODO
TO-DO.txt
# benchmark
benchmark

1
build/build.docs.cjs
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@ -58,6 +58,7 @@ async function typedoc () {
// typedoc options here
tsconfig: tempTsConfigPath,
entryPoints: ['src/ts/index.ts'],
disableSources: true,
plugin: ['typedoc-plugin-markdown'],
includeVersion: true,
entryDocument: 'API.md',

1
build/rollup-plugin-dts.js
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@ -21,6 +21,7 @@ const tsConfig = parseJsonSourceFileConfigFileContent(configFile, sys, dirname(t
export const compile = (outDir) => {
const compilerOptions = {
...tsConfig.options,
removeComments: false,
declaration: true,
declarationMap: true,
emitDeclarationOnly: true,

28
build/rollup.config.js
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@ -45,15 +45,10 @@ if (existsSync(input) !== true) throw new Error('The entry point should be index
const tsPluginOptions = {
tsconfig: tsConfigPath,
outDir: undefined,
include: ['src/ts/**/*', 'build/typings/is-browser.d.ts'],
include: ['src/ts/**/*', 'build/typings/**/*.d.ts'],
exclude: ['src/**/*.spec.ts']
}
const sourcemapOutputOptions = {
sourcemap: 'inline',
sourcemapExcludeSources: true
}
function compileDts (outDir) {
return {
name: 'compile-dts',
@ -90,7 +85,6 @@ export default [
output: [
{
file: join(rootDir, pkgJson.exports['.'].default.default),
...sourcemapOutputOptions,
format: 'es',
plugins: [
terser()
@ -100,7 +94,9 @@ export default [
plugins: [
replace({
IS_BROWSER: true,
environment: 'browser',
_MODULE_TYPE: "'ESM'",
_NPM_PKG_VERSION: `'${process.env.npm_package_version}'` ?? "'0.0.1'",
preventAssignment: true
}),
rollupPluginTs(tsPluginOptions),
@ -142,7 +138,9 @@ export default [
plugins: [
replace({
IS_BROWSER: true,
environment: 'browser',
_MODULE_TYPE: "'BUNDLE'",
_NPM_PKG_VERSION: `'${process.env.npm_package_version}'` ?? "'0.0.1'",
preventAssignment: true
}),
rollupPluginTs({
@ -159,12 +157,11 @@ export default [
output: [
{
file: join(rootDir, pkgJson.exports['.'].node.require.default),
...sourcemapOutputOptions,
format: 'cjs',
exports: 'auto',
plugins: [
terser()
]
interop: 'auto',
dynamicImportInCjs: false,
plugins: [terser()]
}
],
plugins: [
@ -175,7 +172,9 @@ export default [
}),
replace({
IS_BROWSER: false,
environment: 'nodejs',
_MODULE_TYPE: "'CJS'",
_NPM_PKG_VERSION: `'${process.env.npm_package_version}'` ?? "'0.0.1'",
preventAssignment: true
}),
rollupPluginTs(tsPluginOptions),
@ -195,17 +194,16 @@ export default [
output: [
{
file: join(rootDir, pkgJson.exports['.'].node.import.default),
...sourcemapOutputOptions,
format: 'es',
plugins: [
terser()
]
plugins: [terser()]
}
],
plugins: [
replace({
IS_BROWSER: false,
environment: 'nodejs',
_MODULE_TYPE: "'ESM'",
_NPM_PKG_VERSION: `'${process.env.npm_package_version}'` ?? "'0.0.1'",
__filename: 'fileURLToPath(import.meta.url)',
__dirname: 'fileURLToPath(new URL(\'.\', import.meta.url))',
preventAssignment: true

8
build/testing/browser/index.cjs
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@ -61,7 +61,7 @@ const browserTests = async (
await watchDog.catch(async (reason) => {
console.error(reason)
})
if (puppeteerOptions.headless === true) {
if (puppeteerOptions.headless === 'new') {
await close()
}
}).catch(async (reason) => {
@ -102,9 +102,9 @@ const opts = {
// puppeteer options
puppeteerOptions: {
headless: false,
devtools: true
devtools: true,
// slowMo: 100,
// timeout: 10000
timeout: 0
},
logWarnings: false, // log warnings in Node console (usually not needed)
keepServerRunning: false, // keep server running until manually closed with ctrl-c. In combination with puppeteerOptions.headless (or just connecting any browser to the test page) allows debugging in browser
@ -113,7 +113,7 @@ const opts = {
const args = process.argv.slice(2)
if (args[0] === 'headless') {
opts.puppeteerOptions.headless = true
opts.puppeteerOptions.headless = 'new'
args.shift()
}

5
build/testing/browser/server.cjs
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@ -51,7 +51,7 @@ const tsBundleOptions = {
tsconfig: path.join(rootDir, 'tsconfig.json'),
outDir: undefined, // ignore outDir in tsconfig.json
sourceMap: false
// include: ['build/typings/is-browser.d.ts']
// include: ['src/ts/**/*', 'build/typings/**/*.d.ts']
}
async function buildTests (testFiles) {
@ -63,6 +63,7 @@ async function buildTests (testFiles) {
replace({
IS_BROWSER: true,
_MODULE_TYPE: "'ESM'",
_NPM_PKG_VERSION: `'${process.env.npm_package_version}'` ?? "'0.0.1'",
preventAssignment: true
}),
typescriptPlugin(tsBundleOptions),
@ -202,7 +203,7 @@ function _getEnvVarsReplacements (testsCode) {
}
}
if (missingEnvVars.length > 0) {
console.warn('The folloinwg environment variables are missing in your .env file and will be replaced with "undefined": ' + [...(new Set(missingEnvVars)).values()].join(', '))
console.warn('The following environment variables are missing in your .env file and will be replaced with "undefined": ' + [...(new Set(missingEnvVars)).values()].join(', '))
}
return replacements
}

12
build/testing/mocha/builders/RollupBuilder.cjs
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@ -42,6 +42,9 @@ class RollupBuilder extends Builder {
rollupOptions.output = rollupOptions.output[0]
}
rollupOptions.output[0].sourcemap = 'inline'
rollupOptions.output[0].sourcemapExcludeSources = true
this.builder = new RollupBundler({ rollupOptions, watch: this.watch, watchedModule: this.watchedModule })
this.builder.on('event', event => {
@ -115,11 +118,12 @@ class RollupBundler extends EventEmitter {
this.emit('event', event)
})
} else {
if (!fs.existsSync(path.join(rootDir, this.watchedModule))) {
await this._bundle()
} else {
this.emit('event', { code: 'END', noBuild: true })
}
// if (!fs.existsSync(path.join(rootDir, this.watchedModule))) {
// await this._bundle()
// } else {
// this.emit('event', { code: 'END', noBuild: true })
// }
}
}

1
build/typings/is-browser.d.ts → build/typings/globals.d.ts vendored
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@ -1,2 +1,3 @@
declare const IS_BROWSER: boolean
declare const _MODULE_TYPE: string
declare const _NPM_PKG_VERSION: string

16
dist/bundle.esm.js vendored
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@ -1,4 +1,4 @@
function n(n){return n>=0?n:-n}function t(n){if("number"==typeof n&&(n=BigInt(n)),1n===n)return 1;let t=1;do{t++;}while((n>>=1n)>1n);return t}function r(n,t){if("number"==typeof n&&(n=BigInt(n)),"number"==typeof t&&(t=BigInt(t)),n<=0n||t<=0n)throw new RangeError("a and b MUST be > 0");let r=0n,e=1n,o=1n,u=0n;for(;0n!==n;){const i=t/n,f=t%n,g=r-o*i,b=e-u*i;t=n,n=f,r=o,e=u,o=g,u=b;}return {g:t,x:r,y:e}}function e(t,r){let e="number"==typeof t?BigInt(n(t)):n(t),o="number"==typeof r?BigInt(n(r)):n(r);if(0n===e)return o;if(0n===o)return e;let u=0n;for(;0n===(1n&(e|o));)e>>=1n,o>>=1n,u++;for(;0n===(1n&e);)e>>=1n;do{for(;0n===(1n&o);)o>>=1n;if(e>o){const n=e;e=o,o=n;}o-=e;}while(0n!==o);return e<<u}function o(t,r){return "number"==typeof t&&(t=BigInt(t)),"number"==typeof r&&(r=BigInt(r)),0n===t&&0n===r?BigInt(0):n(t/e(t,r)*r)}function u(n,t){return n>=t?n:t}function i(n,t){return n>=t?t:n}function f(n,t){if("number"==typeof n&&(n=BigInt(n)),"number"==typeof t&&(t=BigInt(t)),t<=0n)throw new RangeError("n must be > 0");const r=n%t;return r<0n?r+t:r}function g(n,t){const e=r(f(n,t),t);if(1n!==e.g)throw new RangeError(`${n.toString()} does not have inverse modulo ${t.toString()}`);return f(e.x,t)}function b(t,r,e){if("number"==typeof t&&(t=BigInt(t)),"number"==typeof r&&(r=BigInt(r)),"number"==typeof e&&(e=BigInt(e)),e<=0n)throw new RangeError("n must be > 0");if(1n===e)return 0n;if(t=f(t,e),r<0n)return g(b(t,n(r),e),e);let o=1n;for(;r>0;)r%2n===1n&&(o=o*t%e),r/=2n,t=t**2n%e;return o}
function n(n){return n>=0?n:-n}function t(n){if("number"==typeof n&&(n=BigInt(n)),1n===n)return 1;let t=1;do{t++;}while((n>>=1n)>1n);return t}function r(n,t){if("number"==typeof n&&(n=BigInt(n)),"number"==typeof t&&(t=BigInt(t)),n<=0n||t<=0n)throw new RangeError("a and b MUST be > 0");let r=0n,e=1n,o=1n,i=0n;for(;0n!==n;){const u=t/n,f=t%n,g=r-o*u,c=e-i*u;t=n,n=f,r=o,e=i,o=g,i=c;}return {g:t,x:r,y:e}}function e(n,t){if("number"==typeof n&&(n=BigInt(n)),"number"==typeof t&&(t=BigInt(t)),t<=0n)throw new RangeError("n must be > 0");const r=n%t;return r<0n?r+t:r}function o(n,t){const o=r(e(n,t),t);if(1n!==o.g)throw new RangeError(`${n.toString()} does not have inverse modulo ${t.toString()}`);return e(o.x,t)}function i(n,t,r){if(n.length!==t.length)throw new RangeError("The remainders and modulos arrays should have the same length");const i=r??t.reduce(((n,t)=>n*t),1n);return t.reduce(((t,r,u)=>{const f=i/r;return e(t+f*o(f,r)%i*n[u]%i,i)}),0n)}function u(t,r){let e="number"==typeof t?BigInt(n(t)):n(t),o="number"==typeof r?BigInt(n(r)):n(r);if(0n===e)return o;if(0n===o)return e;let i=0n;for(;0n===(1n&(e|o));)e>>=1n,o>>=1n,i++;for(;0n===(1n&e);)e>>=1n;do{for(;0n===(1n&o);)o>>=1n;if(e>o){const n=e;e=o,o=n;}o-=e;}while(0n!==o);return e<<i}function f(t,r){return "number"==typeof t&&(t=BigInt(t)),"number"==typeof r&&(r=BigInt(r)),0n===t&&0n===r?BigInt(0):n(t/u(t,r)*r)}function g(n,t){return n>=t?n:t}function c(n,t){return n>=t?t:n}function a(n){return n.map((n=>n[0]**(n[1]-1n)*(n[0]-1n))).reduce(((n,t)=>t*n),1n)}function s(t,r,u,f){if("number"==typeof t&&(t=BigInt(t)),"number"==typeof r&&(r=BigInt(r)),"number"==typeof u&&(u=BigInt(u)),u<=0n)throw new RangeError("n must be > 0");if(1n===u)return 0n;if(t=e(t,u),r<0n)return o(s(t,n(r),u,f),u);if(void 0!==f)return function(n,t,r,e){const o=e.map((n=>n[0]**n[1])),u=e.map((n=>a([n]))),f=u.map(((r,e)=>s(n,t%r,o[e])));return i(f,o,r)}(t,r,u,function(n){const t={};return n.forEach((n=>{if("bigint"==typeof n||"number"==typeof n){const r=String(n);void 0===t[r]?t[r]={p:BigInt(n),k:1n}:t[r].k+=1n;}else {const r=String(n[0]);void 0===t[r]?t[r]={p:BigInt(n[0]),k:BigInt(n[1])}:t[r].k+=BigInt(n[1]);}})),Object.values(t).map((n=>[n.p,n.k]))}(f));let g=1n;for(;r>0;)r%2n===1n&&(g=g*t%u),r/=2n,t=t**2n%u;return g}
function fromBuffer(buf) {
let ret = 0n;
@ -412,13 +412,13 @@ function _isProbablyPrime(w, iterations) {
}
const m = d / (2n ** a);
do {
const b$1 = randBetween(d, 2n);
let z = b(b$1, m, w);
const b = randBetween(d, 2n);
let z = s(b, m, w);
if (z === 1n || z === d)
continue;
let j = 1;
while (j < a) {
z = b(z, 2n, w);
z = s(z, 2n, w);
if (z === d)
break;
if (z === 1n)
@ -434,9 +434,9 @@ function _isProbablyPrimeWorkerUrl() {
let workerCode = `
'use strict';
const ${r.name} = ${r.toString()};
const ${g.name} = ${g.toString()};
const ${b.name} = ${b.toString()};
const ${f.name} = ${f.toString()};
const ${o.name} = ${o.toString()};
const ${s.name} = ${s.toString()};
const ${e.name} = ${e.toString()};
const ${randBitsSync.name} = ${randBitsSync.toString()};
const ${randBytesSync.name} = ${randBytesSync.toString()};
const ${randBetween.name} = ${randBetween.toString()};
@ -530,4 +530,4 @@ function primeSync(bitLength, iterations = 16) {
return rnd;
}
export { n as abs, t as bitLength, r as eGcd, e as gcd, isProbablyPrime, o as lcm, u as max, i as min, g as modInv, b as modPow, prime, primeSync, randBetween, randBits, randBitsSync, randBytes, randBytesSync, f as toZn };
export { n as abs, t as bitLength, r as eGcd, u as gcd, isProbablyPrime, f as lcm, g as max, c as min, o as modInv, s as modPow, prime, primeSync, randBetween, randBits, randBitsSync, randBytes, randBytesSync, e as toZn };

2
dist/bundle.esm.min.js vendored
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2
dist/bundle.iife.js vendored
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2
dist/bundle.umd.js vendored
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3
dist/index.browser.esm.js vendored
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180
dist/index.d.ts vendored
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@ -1,6 +1,19 @@
/// <reference types="node" />
/**
* Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
*
* @param a
*
* @returns The absolute value of a
*/
declare function abs(a: number | bigint): number | bigint;
/**
* Returns the (minimum) length of a number expressed in bits.
*
* @param a
* @returns The bit length
*/
declare function bitLength(a: number | bigint): number;
interface Egcd {
@ -8,33 +21,198 @@ interface Egcd {
x: bigint;
y: bigint;
}
/**
* 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 a
* @param b
*
* @throws {@link RangeError} if a or b are <= 0
*
* @returns A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/
declare function eGcd(a: number | bigint, b: number | bigint): Egcd;
/**
* Greatest common divisor of two integers based on the iterative binary algorithm.
*
* @param a
* @param b
*
* @returns The greatest common divisor of a and b
*/
declare function gcd(a: number | bigint, b: number | bigint): bigint;
/**
* The least common multiple computed as abs(a*b)/gcd(a,b)
* @param a
* @param b
*
* @returns The least common multiple of a and b
*/
declare 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 a
* @param b
*
* @returns Maximum of numbers a and b
*/
declare function max(a: number | bigint, b: number | bigint): number | bigint;
/**
* Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<b
*
* @param a
* @param b
*
* @returns Minimum of numbers a and b
*/
declare function min(a: number | bigint, b: number | bigint): number | bigint;
/**
* Modular inverse.
*
* @param a The number to find an inverse for
* @param n The modulo
*
* @throws {@link RangeError} if a does not have inverse modulo n
*
* @returns The inverse modulo n
*/
declare function modInv(a: number | bigint, n: number | bigint): bigint;
declare function modPow(b: number | bigint, e: number | bigint, n: number | bigint): bigint;
type PrimePower = [number | bigint, number | bigint];
type PrimeFactor = number | bigint | PrimePower;
/**
* Modular exponentiation b**e mod n. Currently using the right-to-left binary method if the prime factorization is not provided, or the chinese remainder theorem otherwise.
*
* @param b base
* @param e exponent
* @param n modulo
* @param primeFactorization an array of the prime factors, for example [5n, 5n, 13n, 27n], or prime powers as [p, k], for instance [[5, 2], [13, 1], [27, 1]]. If the prime factorization is provided the chinese remainder theorem is used to greatly speed up the exponentiation.
*
* @throws {@link RangeError} if n <= 0
*
* @returns b**e mod n
*/
declare function modPow(b: number | bigint, e: number | bigint, n: number | bigint, primeFactorization?: PrimeFactor[]): bigint;
/**
* Finds the smallest positive element that is congruent to a in modulo n
*
* @remarks
* a and b must be the same type, either number or bigint
*
* @param a - An integer
* @param n - The modulo
*
* @throws {@link RangeError} if n <= 0
*
* @returns A bigint with the smallest positive representation of a modulo n
*/
declare function toZn(a: number | bigint, n: number | bigint): bigint;
/**
* The test first tries if any of the first 250 small primes are a factor of the input number and then passes several
* iterations of Miller-Rabin Probabilistic Primality Test (FIPS 186-4 C.3.1)
*
* @param w - A positive integer to be tested for primality
* @param iterations - The number of iterations for the primality test. The value shall be consistent with Table C.1, C.2 or C.3 of FIPS 186-4
* @param disableWorkers - Disable the use of workers for the primality test
*
* @throws {@link RangeError} if w<0
*
* @returns A promise that resolves to a boolean that is either true (a probably prime number) or false (definitely composite)
*/
declare function isProbablyPrime(w: number | bigint, iterations?: number, disableWorkers?: boolean): Promise<boolean>;
/**
* A probably-prime (Miller-Rabin), cryptographically-secure, random-number generator.
* The browser version uses web workers to parallelise prime look up. Therefore, it does not lock the UI
* main process, and it can be much faster (if several cores or cpu are available).
* The node version can also use worker_threads if they are available (enabled by default with Node 11 and
* and can be enabled at runtime executing node --experimental-worker with node >=10.5.0).
*
* @param bitLength - The required bit length for the generated prime
* @param iterations - The number of iterations for the Miller-Rabin Probabilistic Primality Test
*
* @throws {@link RangeError} if bitLength < 1
*
* @returns A promise that resolves to a bigint probable prime of bitLength bits.
*/
declare function prime(bitLength: number, iterations?: number): Promise<bigint>;
/**
* A probably-prime (Miller-Rabin), cryptographically-secure, random-number generator.
* The sync version is NOT RECOMMENDED since it won't use workers and thus it'll be slower and may freeze thw window in browser's javascript. Please consider using prime() instead.
*
* @param bitLength - The required bit length for the generated prime
* @param iterations - The number of iterations for the Miller-Rabin Probabilistic Primality Test
*
* @throws {@link RangeError} if bitLength < 1
*
* @returns A bigint probable prime of bitLength bits.
*/
declare function primeSync(bitLength: number, iterations?: number): bigint;
/**
* Returns a cryptographically secure random integer between [min,max].
* @param max Returned value will be <= max
* @param min Returned value will be >= min
*
* @throws {@link RangeError} if max <= min
*
* @returns A cryptographically secure random bigint between [min,max]
*/
declare function randBetween(max: bigint, min?: bigint): bigint;
/**
* Secure random bits for both node and browsers. Node version uses crypto.randomFill() and browser one self.crypto.getRandomValues()
*
* @param bitLength - The desired number of random bits
* @param forceLength - Set to true if you want to force the output to have a specific bit length. It basically forces the msb to be 1
*
* @throws {@link RangeError} if bitLength < 1
*
* @returns A Promise that resolves to a UInt8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bits
*/
declare function randBits(bitLength: number, forceLength?: boolean): Promise<Uint8Array | Buffer>;
/**
* Secure random bits for both node and browsers. Node version uses crypto.randomFill() and browser one self.crypto.getRandomValues()
* @param bitLength - The desired number of random bits
* @param forceLength - Set to true if you want to force the output to have a specific bit length. It basically forces the msb to be 1
*
* @throws {@link RangeError} if bitLength < 1
*
* @returns A Uint8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bits
*/
declare function randBitsSync(bitLength: number, forceLength?: boolean): Uint8Array | Buffer;
/**
* Secure random bytes for both node and browsers. Node version uses crypto.randomBytes() and browser one self.crypto.getRandomValues()
*
* @param byteLength - The desired number of random bytes
* @param forceLength - Set to true if you want to force the output to have a bit length of 8*byteLength. It basically forces the msb to be 1
*
* @throws {@link RangeError} if byteLength < 1
*
* @returns A promise that resolves to a UInt8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bytes
*/
declare function randBytes(byteLength: number, forceLength?: boolean): Promise<Uint8Array | Buffer>;
/**
* Secure random bytes for both node and browsers. Node version uses crypto.randomFill() and browser one self.crypto.getRandomValues()
* This is the synchronous version, consider using the asynchronous one for improved efficiency.
*
* @param byteLength - The desired number of random bytes
* @param forceLength - Set to true if you want to force the output to have a bit length of 8*byteLength. It basically forces the msb to be 1
*
* @throws {@link RangeError} if byteLength < 1
*
* @returns A UInt8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bytes
*/
declare function randBytesSync(byteLength: number, forceLength?: boolean): Uint8Array | Buffer;
export { abs, bitLength, eGcd, gcd, isProbablyPrime, lcm, max, min, modInv, modPow, prime, primeSync, randBetween, randBits, randBitsSync, randBytes, randBytesSync, toZn };

4
dist/index.node.cjs vendored
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142
docs/API.md
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@ -29,6 +29,8 @@
▸ **abs**(`a`): `number` \| `bigint`
Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
#### Parameters
| Name | Type |
@ -39,9 +41,7 @@
`number` \| `bigint`
#### Defined in
node_modules/bigint-mod-arith/dist/index.d.ts:1
The absolute value of a
___
@ -49,6 +49,8 @@ ___
▸ **bitLength**(`a`): `number`
Returns the (minimum) length of a number expressed in bits.
#### Parameters
| Name | Type |
@ -59,9 +61,7 @@ ___
`number`
#### Defined in
node_modules/bigint-mod-arith/dist/index.d.ts:3
The bit length
___
@ -69,6 +69,13 @@ ___
▸ **eGcd**(`a`, `b`): `Egcd`
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).
**`Throws`**
RangeError if a or b are <= 0
#### Parameters
| Name | Type |
@ -80,9 +87,7 @@ ___
`Egcd`
#### Defined in
node_modules/bigint-mod-arith/dist/index.d.ts:10
A triple (g, x, y), such that ax + by = g = gcd(a, b).
___
@ -90,6 +95,8 @@ ___
▸ **gcd**(`a`, `b`): `bigint`
Greatest common divisor of two integers based on the iterative binary algorithm.
#### Parameters
| Name | Type |
@ -101,9 +108,7 @@ ___
`bigint`
#### Defined in
node_modules/bigint-mod-arith/dist/index.d.ts:12
The greatest common divisor of a and b
___
@ -132,16 +137,14 @@ RangeError if w<0
A promise that resolves to a boolean that is either true (a probably prime number) or false (definitely composite)
#### Defined in
[src/ts/isProbablyPrime.ts:20](https://github.com/juanelas/bigint-crypto-utils/blob/f4ea3d5/src/ts/isProbablyPrime.ts#L20)
___
### lcm
▸ **lcm**(`a`, `b`): `bigint`
The least common multiple computed as abs(a*b)/gcd(a,b)
#### Parameters
| Name | Type |
@ -153,9 +156,7 @@ ___
`bigint`
#### Defined in
node_modules/bigint-mod-arith/dist/index.d.ts:14
The least common multiple of a and b
___
@ -163,6 +164,8 @@ ___
▸ **max**(`a`, `b`): `number` \| `bigint`
Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<b
#### Parameters
| Name | Type |
@ -174,9 +177,7 @@ ___
`number` \| `bigint`
#### Defined in
node_modules/bigint-mod-arith/dist/index.d.ts:16
Maximum of numbers a and b
___
@ -184,6 +185,8 @@ ___
▸ **min**(`a`, `b`): `number` \| `bigint`
Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<b
#### Parameters
| Name | Type |
@ -195,9 +198,7 @@ ___
`number` \| `bigint`
#### Defined in
node_modules/bigint-mod-arith/dist/index.d.ts:18
Minimum of numbers a and b
___
@ -205,42 +206,51 @@ ___
▸ **modInv**(`a`, `n`): `bigint`
Modular inverse.
**`Throws`**
RangeError if a does not have inverse modulo n
#### Parameters
| Name | Type |
| :------ | :------ |
| `a` | `number` \| `bigint` |
| `n` | `number` \| `bigint` |
| Name | Type | Description |
| :------ | :------ | :------ |
| `a` | `number` \| `bigint` | The number to find an inverse for |
| `n` | `number` \| `bigint` | The modulo |
#### Returns
`bigint`
#### Defined in
node_modules/bigint-mod-arith/dist/index.d.ts:20
The inverse modulo n
___
### modPow
▸ **modPow**(`b`, `e`, `n`): `bigint`
▸ **modPow**(`b`, `e`, `n`, `primeFactorization?`): `bigint`
Modular exponentiation b**e mod n. Currently using the right-to-left binary method if the prime factorization is not provided, or the chinese remainder theorem otherwise.
**`Throws`**
RangeError if n <= 0
#### Parameters
| Name | Type |
| :------ | :------ |
| `b` | `number` \| `bigint` |
| `e` | `number` \| `bigint` |
| `n` | `number` \| `bigint` |
| Name | Type | Description |
| :------ | :------ | :------ |
| `b` | `number` \| `bigint` | base |
| `e` | `number` \| `bigint` | exponent |
| `n` | `number` \| `bigint` | modulo |
| `primeFactorization?` | `PrimeFactor`[] | an array of the prime factors, for example [5n, 5n, 13n, 27n], or prime powers as [p, k], for instance [[5, 2], [13, 1], [27, 1]]. If the prime factorization is provided the chinese remainder theorem is used to greatly speed up the exponentiation. |
#### Returns
`bigint`
#### Defined in
node_modules/bigint-mod-arith/dist/index.d.ts:22
b**e mod n
___
@ -271,10 +281,6 @@ RangeError if bitLength < 1
A promise that resolves to a bigint probable prime of bitLength bits.
#### Defined in
[src/ts/prime.ts:28](https://github.com/juanelas/bigint-crypto-utils/blob/f4ea3d5/src/ts/prime.ts#L28)
___
### primeSync
@ -301,10 +307,6 @@ RangeError if bitLength < 1
A bigint probable prime of bitLength bits.
#### Defined in
[src/ts/prime.ts:109](https://github.com/juanelas/bigint-crypto-utils/blob/f4ea3d5/src/ts/prime.ts#L109)
___
### randBetween
@ -330,10 +332,6 @@ RangeError if max <= min
A cryptographically secure random bigint between [min,max]
#### Defined in
[src/ts/randBetween.ts:14](https://github.com/juanelas/bigint-crypto-utils/blob/f4ea3d5/src/ts/randBetween.ts#L14)
___
### randBits
@ -359,10 +357,6 @@ RangeError if bitLength < 1
A Promise that resolves to a UInt8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bits
#### Defined in
[src/ts/randBits.ts:13](https://github.com/juanelas/bigint-crypto-utils/blob/f4ea3d5/src/ts/randBits.ts#L13)
___
### randBitsSync
@ -388,10 +382,6 @@ RangeError if bitLength < 1
A Uint8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bits
#### Defined in
[src/ts/randBits.ts:43](https://github.com/juanelas/bigint-crypto-utils/blob/f4ea3d5/src/ts/randBits.ts#L43)
___
### randBytes
@ -417,10 +407,6 @@ RangeError if byteLength < 1
A promise that resolves to a UInt8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bytes
#### Defined in
[src/ts/randBytes.ts:13](https://github.com/juanelas/bigint-crypto-utils/blob/f4ea3d5/src/ts/randBytes.ts#L13)
___
### randBytesSync
@ -447,27 +433,31 @@ RangeError if byteLength < 1
A UInt8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bytes
#### Defined in
[src/ts/randBytes.ts:54](https://github.com/juanelas/bigint-crypto-utils/blob/f4ea3d5/src/ts/randBytes.ts#L54)
___
### toZn
▸ **toZn**(`a`, `n`): `bigint`
Finds the smallest positive element that is congruent to a in modulo n
**`Remarks`**
a and b must be the same type, either number or bigint
**`Throws`**
RangeError if n <= 0
#### Parameters
| Name | Type |
| :------ | :------ |
| `a` | `number` \| `bigint` |
| `n` | `number` \| `bigint` |
| Name | Type | Description |
| :------ | :------ | :------ |
| `a` | `number` \| `bigint` | An integer |
| `n` | `number` \| `bigint` | The modulo |
#### Returns
`bigint`
#### Defined in
node_modules/bigint-mod-arith/dist/index.d.ts:24
A bigint with the smallest positive representation of a modulo n

590
package-lock.json generated
View File

@ -9,7 +9,7 @@
"version": "3.2.2",
"license": "MIT",
"devDependencies": {
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@ -19,8 +19,8 @@
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"@types/chai": "^4.2.22",
"@types/mocha": "^10.0.0",
"bigint-mod-arith": "^3.2.1",
"c8": "^7.12.0",
"bigint-mod-arith": "^3.3.1",
"c8": "^8.0.0",
"chai": "^4.3.3",
"dotenv": "^16.0.3",
"glob": "^10.0.0",
@ -29,7 +29,7 @@
"mocha": "^10.0.0",
"npm-run-all": "^4.1.5",
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@ -37,7 +37,7 @@
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},
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@ -397,17 +397,16 @@
}
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"dev": true,
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"extract-zip": "2.0.1",
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"progress": "2.0.3",
"proxy-from-env": "1.1.0",
"tar-fs": "2.1.1",
"proxy-agent": "6.2.1",
"tar-fs": "3.0.2",
"unbzip2-stream": "1.4.3",
"yargs": "17.7.1"
},
@ -415,7 +414,7 @@
"browsers": "lib/cjs/main-cli.js"
},
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"node": ">=14.1.0"
"node": ">=16.3.0"
},
"peerDependencies": {
"typescript": ">= 4.7.4"
@ -468,9 +467,9 @@
}
},
"node_modules/@rollup/plugin-commonjs": {
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"resolved": "https://registry.npmjs.org/@rollup/plugin-commonjs/-/plugin-commonjs-24.1.0.tgz",
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"dev": true,
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@ -756,9 +755,9 @@
"dev": true
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"node_modules/@types/node": {
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"resolved": "https://registry.npmjs.org/@types/node/-/node-18.15.11.tgz",
"integrity": "sha512-E5Kwq2n4SbMzQOn6wnmBjuK9ouqlURrcZDVfbo9ftDDTFt3nk7ZKK4GMOzoYgnpQJKcxwQw+lGaBvvlMo0qN/Q==",
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"dev": true,
"optional": true
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@ -1074,16 +1073,25 @@
"acorn": "^6.0.0 || ^7.0.0 || ^8.0.0"
}
},
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"dev": true,
"engines": {
"node": ">=0.4.0"
}
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"resolved": "https://registry.npmjs.org/agent-base/-/agent-base-6.0.2.tgz",
"integrity": "sha512-RZNwNclF7+MS/8bDg70amg32dyeZGZxiDuQmZxKLAlQjr3jGyLx+4Kkk58UO7D2QdgFIQCovuSuZESne6RG6XQ==",
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"resolved": "https://registry.npmjs.org/agent-base/-/agent-base-7.1.0.tgz",
"integrity": "sha512-o/zjMZRhJxny7OyEF+Op8X+efiELC7k7yOjMzgfzVqOzXqkBkWI79YoTdOtsuWd5BWhAGAuOY/Xa6xpiaWXiNg==",
"dev": true,
"dependencies": {
"debug": "4"
"debug": "^4.3.4"
},
"engines": {
"node": ">= 6.0.0"
"node": ">= 14"
}
},
"node_modules/ajv": {
@ -1259,6 +1267,18 @@
"node": "*"
}
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"resolved": "https://registry.npmjs.org/ast-types/-/ast-types-0.13.4.tgz",
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"dev": true,
"dependencies": {
"tslib": "^2.0.1"
},
"engines": {
"node": ">=4"
}
},
"node_modules/available-typed-arrays": {
"version": "1.0.5",
"resolved": "https://registry.npmjs.org/available-typed-arrays/-/available-typed-arrays-1.0.5.tgz",
@ -1271,6 +1291,12 @@
"url": "https://github.com/sponsors/ljharb"
}
},
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"resolved": "https://registry.npmjs.org/b4a/-/b4a-1.6.4.tgz",
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"dev": true
},
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"version": "1.0.2",
"resolved": "https://registry.npmjs.org/balanced-match/-/balanced-match-1.0.2.tgz",
@ -1297,10 +1323,19 @@
}
]
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"dev": true,
"engines": {
"node": ">=10.0.0"
}
},
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"version": "3.2.1",
"resolved": "https://registry.npmjs.org/bigint-mod-arith/-/bigint-mod-arith-3.2.1.tgz",
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"resolved": "https://registry.npmjs.org/bigint-mod-arith/-/bigint-mod-arith-3.3.1.tgz",
"integrity": "sha512-pX/cYW3dCa87Jrzv6DAr8ivbbJRzEX5yGhdt8IutnX/PCIXfpx+mabWNK/M8qqh+zQ0J3thftUBHW0ByuUlG0w==",
"dev": true,
"engines": {
"node": ">=10.4.0"
@ -1315,17 +1350,6 @@
"node": ">=8"
}
},
"node_modules/bl": {
"version": "4.1.0",
"resolved": "https://registry.npmjs.org/bl/-/bl-4.1.0.tgz",
"integrity": "sha512-1W07cM9gS6DcLperZfFSj+bWLtaPGSOHWhPiGzXmvVJbRLdG82sH/Kn8EtW1VqWVA54AKf2h5k5BbnIbwF3h6w==",
"dev": true,
"dependencies": {
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"inherits": "^2.0.4",
"readable-stream": "^3.4.0"
}
},
"node_modules/brace-expansion": {
"version": "2.0.1",
"resolved": "https://registry.npmjs.org/brace-expansion/-/brace-expansion-2.0.1.tgz",
@ -1441,9 +1465,9 @@
}
},
"node_modules/c8": {
"version": "7.13.0",
"resolved": "https://registry.npmjs.org/c8/-/c8-7.13.0.tgz",
"integrity": "sha512-/NL4hQTv1gBL6J6ei80zu3IiTrmePDKXKXOTLpHvcIWZTVYQlDhVWjjWvkhICylE8EwwnMVzDZugCvdx0/DIIA==",
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"resolved": "https://registry.npmjs.org/c8/-/c8-8.0.0.tgz",
"integrity": "sha512-XHA5vSfCLglAc0Xt8eLBZMv19lgiBSjnb1FLAQgnwkuhJYEonpilhEB4Ea3jPAbm0FhD6VVJrc0z73jPe7JyGQ==",
"dev": true,
"dependencies": {
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@ -1463,7 +1487,7 @@
"c8": "bin/c8.js"
},
"engines": {
"node": ">=10.12.0"
"node": ">=12"
}
},
"node_modules/c8/node_modules/brace-expansion": {
@ -1627,16 +1651,10 @@
"fsevents": "~2.3.2"
}
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"dev": true
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"version": "0.4.12",
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"dev": true,
"dependencies": {
"mitt": "3.0.0"
@ -1699,9 +1717,9 @@
"dev": true
},
"node_modules/cosmiconfig": {
"version": "8.1.3",
"resolved": "https://registry.npmjs.org/cosmiconfig/-/cosmiconfig-8.1.3.tgz",
"integrity": "sha512-/UkO2JKI18b5jVMJUp0lvKFMpa/Gye+ZgZjKD+DGEN9y7NRcf/nK1A0sp67ONmKtnDCNMS44E6jrk0Yc3bDuUw==",
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"dev": true,
"dependencies": {
"import-fresh": "^3.2.1",
@ -1717,12 +1735,12 @@
}
},
"node_modules/cross-fetch": {
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"resolved": "https://registry.npmjs.org/cross-fetch/-/cross-fetch-3.1.5.tgz",
"integrity": "sha512-lvb1SBsI0Z7GDwmuid+mU3kWVBwTVUbe7S0H52yaaAdQOXq2YktTCZdlAcNKFzE6QtRz0snpw9bNiPeOIkkQvw==",
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"dev": true,
"dependencies": {
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"node-fetch": "^2.6.11"
}
},
"node_modules/cross-spawn": {
@ -1739,6 +1757,15 @@
"node": ">= 8"
}
},
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"dev": true,
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@ -1817,10 +1844,25 @@
"url": "https://github.com/sponsors/ljharb"
}
},
"node_modules/degenerator": {
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10
package.json
View File

@ -136,7 +136,7 @@
}
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}