713 lines
33 KiB
JavaScript
713 lines
33 KiB
JavaScript
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'use strict';
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Object.defineProperty(exports, '__esModule', { value: true });
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var bigintModArith = require('bigint-mod-arith');
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function fromBuffer(buf) {
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let ret = 0n;
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for (const i of buf.values()) {
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const bi = BigInt(i);
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ret = (ret << 8n) + bi;
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}
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return ret;
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}
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/**
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* Secure random bytes for both node and browsers. Node version uses crypto.randomBytes() and browser one self.crypto.getRandomValues()
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*
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* @param byteLength - The desired number of random bytes
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* @param forceLength - If we want to force the output to have a bit length of 8*byteLength. It basically forces the msb to be 1
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*
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* @throws {RangeError}
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* byteLength MUST be > 0
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*
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* @returns A promise that resolves to a UInt8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bytes
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*/
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function randBytes(byteLength, forceLength = false) {
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if (byteLength < 1)
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throw new RangeError('byteLength MUST be > 0');
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return new Promise(function (resolve, reject) {
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{
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const crypto = require('crypto'); // eslint-disable-line
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crypto.randomBytes(byteLength, function (err, buf) {
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/* istanbul ignore if */
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if (err !== null)
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reject(err);
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// If fixed length is required we put the first bit to 1 -> to get the necessary bitLength
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if (forceLength)
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buf[0] = buf[0] | 128;
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resolve(buf);
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});
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}
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});
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}
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/**
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* Secure random bytes for both node and browsers. Node version uses crypto.randomFill() and browser one self.crypto.getRandomValues()
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*
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* @param byteLength - The desired number of random bytes
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* @param forceLength - If we want to force the output to have a bit length of 8*byteLength. It basically forces the msb to be 1
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*
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* @throws {RangeError}
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* byteLength MUST be > 0
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*
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* @returns A UInt8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bytes
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*/
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function randBytesSync(byteLength, forceLength = false) {
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if (byteLength < 1)
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throw new RangeError('byteLength MUST be > 0');
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/* eslint-disable no-lone-blocks */
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{ // node
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const crypto = require('crypto'); // eslint-disable-line
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const buf = crypto.randomBytes(byteLength);
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// If fixed length is required we put the first bit to 1 -> to get the necessary bitLength
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if (forceLength)
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buf[0] = buf[0] | 128;
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return buf;
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}
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/* eslint-enable no-lone-blocks */
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}
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/**
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* Secure random bits for both node and browsers. Node version uses crypto.randomFill() and browser one self.crypto.getRandomValues()
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*
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* @param bitLength - The desired number of random bits
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* @param forceLength - If we want to force the output to have a specific bit length. It basically forces the msb to be 1
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*
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* @throws {RangeError}
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* bitLength MUST be > 0
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*
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* @returns A Promise that resolves to a UInt8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bits
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*/
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function randBits(bitLength, forceLength = false) {
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if (bitLength < 1)
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throw new RangeError('bitLength MUST be > 0');
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const byteLength = Math.ceil(bitLength / 8);
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const bitLengthMod8 = bitLength % 8;
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return new Promise((resolve, reject) => {
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randBytes(byteLength, false).then(function (rndBytes) {
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if (bitLengthMod8 !== 0) {
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// Fill with 0's the extra bits
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rndBytes[0] = rndBytes[0] & (2 ** bitLengthMod8 - 1);
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}
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if (forceLength) {
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const mask = (bitLengthMod8 !== 0) ? 2 ** (bitLengthMod8 - 1) : 128;
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rndBytes[0] = rndBytes[0] | mask;
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}
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resolve(rndBytes);
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});
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});
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}
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/**
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* Secure random bits for both node and browsers. Node version uses crypto.randomFill() and browser one self.crypto.getRandomValues()
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* @param bitLength - The desired number of random bits
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* @param forceLength - If we want to force the output to have a specific bit length. It basically forces the msb to be 1
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*
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* @throws {RangeError}
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* bitLength MUST be > 0
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*
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* @returns A Uint8Array/Buffer (Browser/Node.js) filled with cryptographically secure random bits
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*/
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function randBitsSync(bitLength, forceLength = false) {
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if (bitLength < 1)
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throw new RangeError('bitLength MUST be > 0');
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const byteLength = Math.ceil(bitLength / 8);
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const rndBytes = randBytesSync(byteLength, false);
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const bitLengthMod8 = bitLength % 8;
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if (bitLengthMod8 !== 0) {
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// Fill with 0's the extra bits
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rndBytes[0] = rndBytes[0] & (2 ** bitLengthMod8 - 1);
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}
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if (forceLength) {
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const mask = (bitLengthMod8 !== 0) ? 2 ** (bitLengthMod8 - 1) : 128;
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rndBytes[0] = rndBytes[0] | mask;
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}
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return rndBytes;
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}
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/**
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* Returns a cryptographically secure random integer between [min,max]. Both numbers must be >=0
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* @param max Returned value will be <= max
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* @param min Returned value will be >= min
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*
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* @throws {RangeError}
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* Arguments MUST be: max > 0 && min >=0 && max > min
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*
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* @returns A cryptographically secure random bigint between [min,max]
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*/
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function randBetween(max, min = 1n) {
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if (max <= 0n || min < 0n || max <= min)
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throw new RangeError('Arguments MUST be: max > 0 && min >=0 && max > min');
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const interval = max - min;
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const bitLen = bigintModArith.bitLength(interval);
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let rnd;
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do {
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const buf = randBitsSync(bitLen);
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rnd = fromBuffer(buf);
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} while (rnd > interval);
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return rnd + min;
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}
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let _useWorkers = false; // The following is just to check whether we can use workers
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/* eslint-disable no-lone-blocks */
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{ // Node.js
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try {
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require.resolve('worker_threads');
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_useWorkers = true;
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}
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catch (e) {
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/* istanbul ignore next */
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console.log(`[bigint-crypto-utils] WARNING:
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This node version doesn't support worker_threads. You should enable them in order to greatly speedup the generation of big prime numbers.
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· With Node >=11 it is enabled by default (consider upgrading).
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· With Node 10, starting with 10.5.0, you can enable worker_threads at runtime executing node --experimental-worker `);
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}
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}
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/**
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* The test first tries if any of the first 250 small primes are a factor of the input number and then passes several
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* iterations of Miller-Rabin Probabilistic Primality Test (FIPS 186-4 C.3.1)
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*
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* @param w - A positive integer to be tested for primality
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* @param iterations - The number of iterations for the primality test. The value shall be consistent with Table C.1, C.2 or C.3
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* @param disableWorkers - Disable the use of workers for the primality test
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*
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* @throws {RangeError}
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* w MUST be >= 0
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*
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* @returns A promise that resolves to a boolean that is either true (a probably prime number) or false (definitely composite)
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*/
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function isProbablyPrime(w, iterations = 16, disableWorkers = false) {
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if (typeof w === 'number') {
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w = BigInt(w);
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}
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if (w < 0n)
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throw RangeError('w MUST be >= 0');
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{ // Node.js
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/* istanbul ignore else */
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if (!disableWorkers && _useWorkers) {
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const { Worker } = require('worker_threads'); // eslint-disable-line
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return new Promise((resolve, reject) => {
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const worker = new Worker(__filename);
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worker.on('message', (data) => {
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worker.terminate();
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resolve(data.isPrime);
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});
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worker.on('error', reject);
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const msg = {
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rnd: w,
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iterations: iterations,
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id: 0
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};
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worker.postMessage(msg);
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});
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}
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else {
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return new Promise((resolve) => {
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resolve(_isProbablyPrime(w, iterations));
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});
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}
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}
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}
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function _isProbablyPrime(w, iterations) {
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/*
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PREFILTERING. Even values but 2 are not primes, so don't test.
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1 is not a prime and the M-R algorithm needs w>1.
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*/
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if (w === 2n)
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return true;
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else if ((w & 1n) === 0n || w === 1n)
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return false;
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/*
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Test if any of the first 250 small primes are a factor of w. 2 is not tested because it was already tested above.
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*/
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const firstPrimes = [
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3n,
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5n,
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7n,
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11n,
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13n,
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17n,
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19n,
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23n,
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29n,
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31n,
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37n,
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41n,
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43n,
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47n,
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53n,
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59n,
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61n,
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67n,
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71n,
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73n,
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79n,
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83n,
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89n,
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97n,
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101n,
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103n,
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107n,
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109n,
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113n,
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127n,
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131n,
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137n,
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139n,
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149n,
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151n,
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157n,
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163n,
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167n,
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173n,
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179n,
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181n,
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191n,
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193n,
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197n,
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199n,
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211n,
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223n,
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227n,
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229n,
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233n,
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239n,
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241n,
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251n,
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257n,
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263n,
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269n,
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271n,
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277n,
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281n,
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283n,
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293n,
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307n,
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311n,
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313n,
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317n,
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331n,
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337n,
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347n,
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349n,
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353n,
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359n,
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367n,
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373n,
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379n,
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383n,
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389n,
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397n,
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401n,
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409n,
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419n,
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421n,
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431n,
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433n,
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439n,
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443n,
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449n,
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457n,
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461n,
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463n,
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467n,
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479n,
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487n,
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491n,
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499n,
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503n,
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509n,
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521n,
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523n,
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541n,
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547n,
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557n,
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563n,
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569n,
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571n,
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577n,
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587n,
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593n,
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599n,
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601n,
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607n,
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613n,
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617n,
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619n,
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631n,
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641n,
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643n,
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647n,
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653n,
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659n,
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661n,
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673n,
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677n,
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683n,
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691n,
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701n,
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709n,
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719n,
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727n,
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733n,
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739n,
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743n,
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751n,
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757n,
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761n,
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769n,
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773n,
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787n,
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797n,
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809n,
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811n,
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821n,
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823n,
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827n,
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829n,
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839n,
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853n,
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857n,
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859n,
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863n,
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877n,
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881n,
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883n,
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887n,
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907n,
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911n,
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919n,
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|
929n,
|
|||
|
|
937n,
|
|||
|
|
941n,
|
|||
|
|
947n,
|
|||
|
|
953n,
|
|||
|
|
967n,
|
|||
|
|
971n,
|
|||
|
|
977n,
|
|||
|
|
983n,
|
|||
|
|
991n,
|
|||
|
|
997n,
|
|||
|
|
1009n,
|
|||
|
|
1013n,
|
|||
|
|
1019n,
|
|||
|
|
1021n,
|
|||
|
|
1031n,
|
|||
|
|
1033n,
|
|||
|
|
1039n,
|
|||
|
|
1049n,
|
|||
|
|
1051n,
|
|||
|
|
1061n,
|
|||
|
|
1063n,
|
|||
|
|
1069n,
|
|||
|
|
1087n,
|
|||
|
|
1091n,
|
|||
|
|
1093n,
|
|||
|
|
1097n,
|
|||
|
|
1103n,
|
|||
|
|
1109n,
|
|||
|
|
1117n,
|
|||
|
|
1123n,
|
|||
|
|
1129n,
|
|||
|
|
1151n,
|
|||
|
|
1153n,
|
|||
|
|
1163n,
|
|||
|
|
1171n,
|
|||
|
|
1181n,
|
|||
|
|
1187n,
|
|||
|
|
1193n,
|
|||
|
|
1201n,
|
|||
|
|
1213n,
|
|||
|
|
1217n,
|
|||
|
|
1223n,
|
|||
|
|
1229n,
|
|||
|
|
1231n,
|
|||
|
|
1237n,
|
|||
|
|
1249n,
|
|||
|
|
1259n,
|
|||
|
|
1277n,
|
|||
|
|
1279n,
|
|||
|
|
1283n,
|
|||
|
|
1289n,
|
|||
|
|
1291n,
|
|||
|
|
1297n,
|
|||
|
|
1301n,
|
|||
|
|
1303n,
|
|||
|
|
1307n,
|
|||
|
|
1319n,
|
|||
|
|
1321n,
|
|||
|
|
1327n,
|
|||
|
|
1361n,
|
|||
|
|
1367n,
|
|||
|
|
1373n,
|
|||
|
|
1381n,
|
|||
|
|
1399n,
|
|||
|
|
1409n,
|
|||
|
|
1423n,
|
|||
|
|
1427n,
|
|||
|
|
1429n,
|
|||
|
|
1433n,
|
|||
|
|
1439n,
|
|||
|
|
1447n,
|
|||
|
|
1451n,
|
|||
|
|
1453n,
|
|||
|
|
1459n,
|
|||
|
|
1471n,
|
|||
|
|
1481n,
|
|||
|
|
1483n,
|
|||
|
|
1487n,
|
|||
|
|
1489n,
|
|||
|
|
1493n,
|
|||
|
|
1499n,
|
|||
|
|
1511n,
|
|||
|
|
1523n,
|
|||
|
|
1531n,
|
|||
|
|
1543n,
|
|||
|
|
1549n,
|
|||
|
|
1553n,
|
|||
|
|
1559n,
|
|||
|
|
1567n,
|
|||
|
|
1571n,
|
|||
|
|
1579n,
|
|||
|
|
1583n,
|
|||
|
|
1597n
|
|||
|
|
];
|
|||
|
|
for (let i = 0; i < firstPrimes.length && (firstPrimes[i] <= w); i++) {
|
|||
|
|
const p = firstPrimes[i];
|
|||
|
|
if (w === p)
|
|||
|
|
return true;
|
|||
|
|
else if (w % p === 0n)
|
|||
|
|
return false;
|
|||
|
|
}
|
|||
|
|
/*
|
|||
|
|
1. Let a be the largest integer such that 2**a divides w−1.
|
|||
|
|
2. m = (w−1) / 2**a.
|
|||
|
|
3. wlen = len (w).
|
|||
|
|
4. For i = 1 to iterations do
|
|||
|
|
4.1 Obtain a string b of wlen bits from an RBG.
|
|||
|
|
Comment: Ensure that 1 < b < w−1.
|
|||
|
|
4.2 If ((b ≤ 1) or (b ≥ w−1)), then go to step 4.1.
|
|||
|
|
4.3 z = b**m mod w.
|
|||
|
|
4.4 If ((z = 1) or (z = w − 1)), then go to step 4.7.
|
|||
|
|
4.5 For j = 1 to a − 1 do.
|
|||
|
|
4.5.1 z = z**2 mod w.
|
|||
|
|
4.5.2 If (z = w−1), then go to step 4.7.
|
|||
|
|
4.5.3 If (z = 1), then go to step 4.6.
|
|||
|
|
4.6 Return COMPOSITE.
|
|||
|
|
4.7 Continue.
|
|||
|
|
Comment: Increment i for the do-loop in step 4.
|
|||
|
|
5. Return PROBABLY PRIME.
|
|||
|
|
*/
|
|||
|
|
let a = 0n;
|
|||
|
|
const d = w - 1n;
|
|||
|
|
let aux = d;
|
|||
|
|
while (aux % 2n === 0n) {
|
|||
|
|
aux /= 2n;
|
|||
|
|
++a;
|
|||
|
|
}
|
|||
|
|
const m = d / (2n ** a);
|
|||
|
|
do {
|
|||
|
|
const b = randBetween(d, 2n);
|
|||
|
|
let z = bigintModArith.modPow(b, m, w);
|
|||
|
|
if (z === 1n || z === d)
|
|||
|
|
continue;
|
|||
|
|
let j = 1;
|
|||
|
|
while (j < a) {
|
|||
|
|
z = bigintModArith.modPow(z, 2n, w);
|
|||
|
|
if (z === d)
|
|||
|
|
break;
|
|||
|
|
if (z === 1n)
|
|||
|
|
return false;
|
|||
|
|
j++;
|
|||
|
|
}
|
|||
|
|
if (z !== d)
|
|||
|
|
return false;
|
|||
|
|
} while (--iterations !== 0);
|
|||
|
|
return true;
|
|||
|
|
}
|
|||
|
|
if (_useWorkers) { // node.js with support for workers
|
|||
|
|
const { parentPort, isMainThread } = require('worker_threads'); // eslint-disable-line
|
|||
|
|
const isWorker = !isMainThread;
|
|||
|
|
/* istanbul ignore if */
|
|||
|
|
if (isWorker) { // worker
|
|||
|
|
parentPort.on('message', function (data) {
|
|||
|
|
const isPrime = _isProbablyPrime(data.rnd, data.iterations);
|
|||
|
|
const msg = {
|
|||
|
|
isPrime: isPrime,
|
|||
|
|
value: data.rnd,
|
|||
|
|
id: data.id
|
|||
|
|
};
|
|||
|
|
parentPort.postMessage(msg);
|
|||
|
|
});
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/**
|
|||
|
|
* 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 {RangeError}
|
|||
|
|
* bitLength MUST be > 0
|
|||
|
|
*
|
|||
|
|
* @returns A promise that resolves to a bigint probable prime of bitLength bits.
|
|||
|
|
*/
|
|||
|
|
function prime(bitLength, iterations = 16) {
|
|||
|
|
if (bitLength < 1)
|
|||
|
|
throw new RangeError('bitLength MUST be > 0');
|
|||
|
|
/* istanbul ignore if */
|
|||
|
|
if (!_useWorkers) { // If there is no support for workers
|
|||
|
|
let rnd = 0n;
|
|||
|
|
do {
|
|||
|
|
rnd = fromBuffer(randBitsSync(bitLength, true));
|
|||
|
|
} while (!_isProbablyPrime(rnd, iterations));
|
|||
|
|
return new Promise((resolve) => { resolve(rnd); });
|
|||
|
|
}
|
|||
|
|
return new Promise((resolve, reject) => {
|
|||
|
|
const workerList = [];
|
|||
|
|
const _onmessage = (msg, newWorker) => {
|
|||
|
|
if (msg.isPrime) {
|
|||
|
|
// if a prime number has been found, stop all the workers, and return it
|
|||
|
|
for (let j = 0; j < workerList.length; j++) {
|
|||
|
|
workerList[j].terminate();
|
|||
|
|
}
|
|||
|
|
while (workerList.length > 0) {
|
|||
|
|
workerList.pop();
|
|||
|
|
}
|
|||
|
|
resolve(msg.value);
|
|||
|
|
}
|
|||
|
|
else { // if a composite is found, make the worker test another random number
|
|||
|
|
const buf = randBitsSync(bitLength, true);
|
|||
|
|
const rnd = fromBuffer(buf);
|
|||
|
|
try {
|
|||
|
|
const msgToWorker = {
|
|||
|
|
rnd: rnd,
|
|||
|
|
iterations: iterations,
|
|||
|
|
id: msg.id
|
|||
|
|
};
|
|||
|
|
newWorker.postMessage(msgToWorker);
|
|||
|
|
}
|
|||
|
|
catch (error) {
|
|||
|
|
// The worker has already terminated. There is nothing to handle here
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
};
|
|||
|
|
{ // Node.js
|
|||
|
|
const { cpus } = require('os'); // eslint-disable-line
|
|||
|
|
const { Worker } = require('worker_threads'); // eslint-disable-line
|
|||
|
|
for (let i = 0; i < cpus().length - 1; i++) {
|
|||
|
|
const newWorker = new Worker(__filename);
|
|||
|
|
newWorker.on('message', (msg) => _onmessage(msg, newWorker));
|
|||
|
|
workerList.push(newWorker);
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
for (let i = 0; i < workerList.length; i++) {
|
|||
|
|
randBits(bitLength, true).then(function (buf) {
|
|||
|
|
const rnd = fromBuffer(buf);
|
|||
|
|
workerList[i].postMessage({
|
|||
|
|
rnd: rnd,
|
|||
|
|
iterations: iterations,
|
|||
|
|
id: i
|
|||
|
|
});
|
|||
|
|
}).catch(reject);
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
}
|
|||
|
|
/**
|
|||
|
|
* 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 {RangeError}
|
|||
|
|
* bitLength MUST be > 0
|
|||
|
|
*
|
|||
|
|
* @returns A bigint probable prime of bitLength bits.
|
|||
|
|
*/
|
|||
|
|
function primeSync(bitLength, iterations = 16) {
|
|||
|
|
if (bitLength < 1)
|
|||
|
|
throw new RangeError('bitLength MUST be > 0');
|
|||
|
|
let rnd = 0n;
|
|||
|
|
do {
|
|||
|
|
rnd = fromBuffer(randBitsSync(bitLength, true));
|
|||
|
|
} while (!_isProbablyPrime(rnd, iterations));
|
|||
|
|
return rnd;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
Object.defineProperty(exports, 'abs', {
|
|||
|
|
enumerable: true,
|
|||
|
|
get: function () {
|
|||
|
|
return bigintModArith.abs;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
Object.defineProperty(exports, 'bitLength', {
|
|||
|
|
enumerable: true,
|
|||
|
|
get: function () {
|
|||
|
|
return bigintModArith.bitLength;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
Object.defineProperty(exports, 'eGcd', {
|
|||
|
|
enumerable: true,
|
|||
|
|
get: function () {
|
|||
|
|
return bigintModArith.eGcd;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
Object.defineProperty(exports, 'gcd', {
|
|||
|
|
enumerable: true,
|
|||
|
|
get: function () {
|
|||
|
|
return bigintModArith.gcd;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
Object.defineProperty(exports, 'lcm', {
|
|||
|
|
enumerable: true,
|
|||
|
|
get: function () {
|
|||
|
|
return bigintModArith.lcm;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
Object.defineProperty(exports, 'max', {
|
|||
|
|
enumerable: true,
|
|||
|
|
get: function () {
|
|||
|
|
return bigintModArith.max;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
Object.defineProperty(exports, 'min', {
|
|||
|
|
enumerable: true,
|
|||
|
|
get: function () {
|
|||
|
|
return bigintModArith.min;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
Object.defineProperty(exports, 'modInv', {
|
|||
|
|
enumerable: true,
|
|||
|
|
get: function () {
|
|||
|
|
return bigintModArith.modInv;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
Object.defineProperty(exports, 'modPow', {
|
|||
|
|
enumerable: true,
|
|||
|
|
get: function () {
|
|||
|
|
return bigintModArith.modPow;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
Object.defineProperty(exports, 'toZn', {
|
|||
|
|
enumerable: true,
|
|||
|
|
get: function () {
|
|||
|
|
return bigintModArith.toZn;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
exports.isProbablyPrime = isProbablyPrime;
|
|||
|
|
exports.prime = prime;
|
|||
|
|
exports.primeSync = primeSync;
|
|||
|
|
exports.randBetween = randBetween;
|
|||
|
|
exports.randBits = randBits;
|
|||
|
|
exports.randBitsSync = randBitsSync;
|
|||
|
|
exports.randBytes = randBytes;
|
|||
|
|
exports.randBytesSync = randBytesSync;
|
|||
|
|
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