LumeWeb
/
bigint-crypto-utils
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

Working!

This commit is contained in:
Juan Hernández Serrano 2019-04-19 12:05:37 +02:00
parent 788bcd219f
commit 066352b391
7 changed files with 462 additions and 510 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

344
dist/bigint-utils-latest.browser.js → dist/bigint-crypto-utils-latest.browser.js vendored
View File

@ -1,4 +1,4 @@
var bigintUtils = (function (exports) {
var bigintCryptoUtils = (function (exports) {
'use strict';
/**
@ -13,64 +13,6 @@ var bigintUtils = (function (exports) {
return (a >= BigInt(0)) ? a : -a;
};
/**
* 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
*/
const gcd = function (a, b) {
a = abs(a);
b = abs(b);
let shift = BigInt(0);
while (!((a | b) & BigInt(1))) {
a >>= BigInt(1);
b >>= BigInt(1);
shift++;
}
while (!(a & BigInt(1))) a >>= BigInt(1);
do {
while (!(b & BigInt(1))) b >>= BigInt(1);
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
*/
const lcm = function (a, b) {
a = BigInt(a);
b = BigInt(b);
return abs(a * b) / gcd(a, b);
};
/**
* 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
*/
const toZn = function (a, n) {
n = BigInt(n);
a = BigInt(a) % n;
return (a < 0) ? a + n : a;
};
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
@ -113,6 +55,77 @@ var bigintUtils = (function (exports) {
};
};
/**
* 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
*/
const gcd = function (a, b) {
a = abs(a);
b = abs(b);
let shift = BigInt(0);
while (!((a | b) & BigInt(1))) {
a >>= BigInt(1);
b >>= BigInt(1);
shift++;
}
while (!(a & BigInt(1))) a >>= BigInt(1);
do {
while (!(b & BigInt(1))) b >>= BigInt(1);
if (a > b) {
let x = a;
a = b;
b = x;
}
b -= a;
} while (b);
// rescale
return a << shift;
};
/**
* 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 {bigint} w An integer to be tested for primality
* @param {number} iterations The number of iterations for the primality test. The value shall be consistent with Table C.1, C.2 or C.3
*
* @return {Promise} A promise that resolve to a boolean that is either true (a probably prime number) or false (definitely composite)
*/
const isProbablyPrime = async function (w, iterations = 16) {
{
return new Promise(resolve => {
let worker = _isProbablyPrimeWorker();
worker.onmessage = (event) => {
worker.terminate();
resolve(event.data.isPrime);
};
worker.postMessage({
'rnd': w,
'iterations': iterations
});
});
}
};
/**
* 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
*/
const lcm = function (a, b) {
a = BigInt(a);
b = BigInt(b);
return abs(a * b) / gcd(a, b);
};
/**
* Modular inverse.
*
@ -162,29 +175,56 @@ var bigintUtils = (function (exports) {
};
/**
* Secure random bytes for both node and browsers. Browser implementation uses WebWorkers in order to not lock the main process
* 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).
*
* @param {number} byteLength The desired number of random bytes
* @param {boolean} forceLength If we want to force the output to have a bit length of 8*byteLength. It basically forces the msb to be 1
* @param {number} bitLength The required bit length for the generated prime
* @param {number} iterations The number of iterations for the Miller-Rabin Probabilistic Primality Test
*
* @returns {Promise} A promise that resolves to a Buffer/UInt8Array filled with cryptographically secure random bytes
* @returns {Promise} A promise that resolves to a bigint probable prime of bitLength bits
*/
const randBytes = async function (byteLength, forceLength = false) {
return new Promise((resolve) => {
let buf;
const prime = async function (bitLength, iterations = 16) {
return new Promise(async (resolve) => {
{
let workerList = [];
for (let i = 0; i < self.navigator.hardwareConcurrency; i++) {
let newWorker = _isProbablyPrimeWorker();
newWorker.onmessage = async (event) => {
if (event.data.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) {
workerList.pop();
}
resolve(event.data.value);
} else { // if a composite is found, make the worker test another random number
let rnd = BigInt(0);
rnd = fromBuffer(await randBytes(bitLength / 8, true));
newWorker.postMessage({
'rnd': rnd,
'iterations': iterations
});
}
};
workerList.push(newWorker);
}
for (const worker of workerList) {
let rnd = BigInt(0);
rnd = fromBuffer(await randBytes(bitLength / 8, true));
worker.postMessage({
'rnd': rnd,
'iterations': iterations
});
}
{ // browser
buf = new Uint8Array(byteLength);
self.crypto.getRandomValues(buf);
// If fixed length is required we put the first bit to 1 -> to get the necessary bitLength
if (forceLength)
buf[0] = buf[0] | 128;
resolve(buf);
}
});
};
/**
* Returns a cryptographically secure random integer between [min,max]
* @param {bigint} max Returned value will be <= max
@ -214,53 +254,74 @@ var bigintUtils = (function (exports) {
};
/**
* 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)
* Secure random bytes for both node and browsers. Node version uses crypto.randomFill() and browser one self.crypto.getRandomValues()
*
* @param {bigint} w An integer to be tested for primality
* @param {number} iterations The number of iterations for the primality test. The value shall be consistent with Table C.1, C.2 or C.3
* @param {number} byteLength The desired number of random bytes
* @param {boolean} forceLength If we want to force the output to have a bit length of 8*byteLength. It basically forces the msb to be 1
*
* @return {Promise} A promise that resolve to a boolean that is either true (a probably prime number) or false (definitely composite)
* @returns {Promise} A promise that resolves to a Buffer/UInt8Array filled with cryptographically secure random bytes
*/
const isProbablyPrime = async function (w, iterations = 16) {
{
return new Promise(resolve => {
let worker = _isProbablyPrimeWorker();
const randBytes = async function (byteLength, forceLength = false) {
return new Promise((resolve) => {
let buf;
worker.onmessage = (event) => {
resolve(event.data.isPrime);
};
worker.postMessage({
'rnd': w,
'iterations': iterations
});
});
}
{ // browser
buf = new Uint8Array(byteLength);
self.crypto.getRandomValues(buf);
// If fixed length is required we put the first bit to 1 -> to get the necessary bitLength
if (forceLength)
buf[0] = buf[0] | 128;
resolve(buf);
}
});
};
/**
* 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
*/
const toZn = function (a, n) {
n = BigInt(n);
a = BigInt(a) % n;
return (a < 0) ? a + n : a;
};
/* HELPER FUNCTIONS */
function fromBuffer(buf) {
let ret = BigInt(0);
for (let i of buf.values()) {
let bi = BigInt(i);
ret = (ret << BigInt(8)) + bi;
}
return ret;
}
function bitLength(a) {
let bits = 1;
do {
bits++;
} while ((a >>= BigInt(1)) > BigInt(1));
return bits;
}
function _isProbablyPrimeWorker() {
async function _onmessage(event) { // Let's start once we are called
// event.data = {rnd: <bigint>, iterations: <number>}
const isPrime = await isProbablyPrime(event.data.rnd, event.data.iterations, false);
const isPrime = await isProbablyPrime(event.data.rnd, event.data.iterations);
postMessage({
'isPrime': isPrime,
'value': event.data.rnd
});
}
let workerCode = `(() => {
'use strict';
let workerCode = `(() => {'use strict';const eGcd = ${eGcd.toString()};const modInv = ${modInv.toString()};const modPow = ${modPow.toString()};const toZn = ${toZn.toString()};const randBytes = ${randBytes.toString()};const randBetween = ${randBetween.toString()};const isProbablyPrime = ${_isProbablyPrime.toString()};${bitLength.toString()}${fromBuffer.toString()}onmessage = ${_onmessage.toString()};})()`;
const eGcd = ${eGcd.toString()};
const modInv = ${modInv.toString()};
const modPow = ${modPow.toString()};
const toZn = ${toZn.toString()};
const randBytes = ${randBytes.toString()};
const randBetween = ${randBetween.toString()};
const isProbablyPrime = ${_isProbablyPrime.toString()};
${bitLength.toString()}
${fromBuffer.toString()}
onmessage = ${_onmessage.toString()};
})()`;
var _blob = new Blob([workerCode], { type: 'text/javascript' });
return new Worker(window.URL.createObjectURL(_blob));
@ -585,77 +646,6 @@ var bigintUtils = (function (exports) {
return true;
}
/**
* A probably-prime (Miller-Rabin), cryptographically-secure, random-number generator
*
* @param {number} bitLength The required bit length for the generated prime
* @param {number} iterations The number of iterations for the Miller-Rabin Probabilistic Primality Test
*
* @returns {Promise} A promise that resolves to a bigint probable prime of bitLength bits
*/
const prime = async function (bitLength, iterations = 16) {
return new Promise(async (resolve) => {
{
let workerList = [];
for (let i = 0; i < self.navigator.hardwareConcurrency; i++) {
let newWorker = _isProbablyPrimeWorker();
newWorker.onmessage = async (event) => {
if (event.data.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) {
workerList.pop();
}
resolve(event.data.value);
} else { // if a composite is found, make the worker test another random number
let rnd = BigInt(0);
rnd = fromBuffer(await randBytes(bitLength / 8, true));
newWorker.postMessage({
'rnd': rnd,
'iterations': iterations
});
}
};
workerList.push(newWorker);
}
for (const worker of workerList) {
let rnd = BigInt(0);
rnd = fromBuffer(await randBytes(bitLength / 8, true));
worker.postMessage({
'rnd': rnd,
'iterations': iterations
});
}
}
});
};
/* HELPER FUNCTIONS */
function fromBuffer(buf) {
let ret = BigInt(0);
for (let i of buf.values()) {
let bi = BigInt(i);
ret = (ret << BigInt(8)) + bi;
}
return ret;
}
function bitLength(a) {
let bits = 1;
do {
bits++;
} while ((a >>= BigInt(1)) > BigInt(1));
return bits;
}
exports.abs = abs;
exports.eGcd = eGcd;
exports.gcd = gcd;

1
dist/bigint-crypto-utils-latest.browser.min.js vendored Normal file
View File

@ -0,0 +1 @@
var bigintCryptoUtils=function(a){'use strict';function b(a){let b=BigInt(0);for(let c of a.values()){let a=BigInt(c);b=(b<<BigInt(8))+a}return b}function c(b){let c=1;do c++;while((b>>=BigInt(1))>BigInt(1));return c}function d(){let a=`(() => {'use strict';const eGcd = ${g.toString()};const modInv = ${j.toString()};const modPow = ${k.toString()};const toZn = ${o.toString()};const randBytes = ${m.toString()};const randBetween = ${l.toString()};const isProbablyPrime = ${e.toString()};${c.toString()}${b.toString()}onmessage = ${async function(a){const b=await i(a.data.rnd,a.data.iterations);postMessage({isPrime:b,value:a.data.rnd})}.toString()};})()`;var d=new Blob([a],{type:"text/javascript"});return new Worker(window.URL.createObjectURL(d))}async function e(c,b=16){if(c===BigInt(2))return!0;if((c&BigInt(1))===BigInt(0)||c===BigInt(1))return!1;const e=[3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597];for(let a=0;a<e.length&&BigInt(e[a])<=c;a++){const b=BigInt(e[a]);if(c===b)return!0;if(c%b===BigInt(0))return!1}let f=BigInt(0),g=c-BigInt(1);for(;g%BigInt(2)===BigInt(0);)g/=BigInt(2),++f;let h=(c-BigInt(1))/BigInt(2)**f;loop:do{let a=await l(c-BigInt(1),2),b=k(a,h,c);if(b===BigInt(1)||b===c-BigInt(1))continue;for(let a=1;a<f;a++){if(b=k(b,BigInt(2),c),b===c-BigInt(1))continue loop;if(b===BigInt(1))break}return!1}while(--b);return!0}const f=function(b){return b=BigInt(b),b>=BigInt(0)?b:-b},g=function(c,d){c=BigInt(c),d=BigInt(d);let e=BigInt(0),f=BigInt(1),g=BigInt(1),h=BigInt(0);for(;c!==BigInt(0);){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}},h=function(c,d){c=f(c),d=f(d);let e=BigInt(0);for(;!((c|d)&BigInt(1));)c>>=BigInt(1),d>>=BigInt(1),e++;for(;!(c&BigInt(1));)c>>=BigInt(1);do{for(;!(d&BigInt(1));)d>>=BigInt(1);if(c>d){let a=c;c=d,d=a}d-=c}while(d);return c<<e},i=async function(a,b=16){return new Promise(c=>{let e=d();e.onmessage=a=>{e.terminate(),c(a.data.isPrime)},e.postMessage({rnd:a,iterations:b})})},j=function(b,a){let c=g(b,a);return c.b===BigInt(1)?o(c.x,a):null},k=function(c,d,e){if(e=BigInt(e),c=o(c,e),d=BigInt(d),d<BigInt(0))return j(k(c,f(d),e),e);let g=BigInt(1),h=c;for(;0<d;){var i=d%BigInt(2);d/=BigInt(2),i==BigInt(1)&&(g*=h,g%=e),h*=h,h%=e}return g},l=async function(a,d=1){let e,f=c(a),g=f>>3,h=f-8*g;0<h&&(g++,e=2**h-1);let i;do{let a=await m(g);0<h&&(a[0]&=e),i=b(a)}while(i>a||i<d);return i},m=async function(a,b=!1){return new Promise(c=>{let d;d=new Uint8Array(a),self.crypto.getRandomValues(d),b&&(d[0]|=128),c(d)})},o=function(b,c){return c=BigInt(c),b=BigInt(b)%c,0>b?b+c:b};return a.abs=f,a.eGcd=g,a.gcd=h,a.isProbablyPrime=i,a.lcm=function(c,d){return c=BigInt(c),d=BigInt(d),f(c*d)/h(c,d)},a.modInv=j,a.modPow=k,a.prime=async function(a,c=16){return new Promise(async e=>{{let f=[];for(let g,h=0;h<self.navigator.hardwareConcurrency;h++)g=d(),g.onmessage=async d=>{if(d.data.isPrime){for(let a=0;a<f.length;a++)f[a].terminate();for(;f.length;)f.pop();e(d.data.value)}else{let d=BigInt(0);d=b((await m(a/8,!0))),g.postMessage({rnd:d,iterations:c})}},f.push(g);for(const d of f){let e=BigInt(0);e=b((await m(a/8,!0))),d.postMessage({rnd:e,iterations:c})}}})},a.randBetween=l,a.randBytes=m,a.toZn=o,a}({});

342
dist/bigint-utils-latest.browser.mod.js → dist/bigint-crypto-utils-latest.browser.mod.js vendored
View File

@ -10,64 +10,6 @@ const abs = function (a) {
return (a >= BigInt(0)) ? a : -a;
};
/**
* 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
*/
const gcd = function (a, b) {
a = abs(a);
b = abs(b);
let shift = BigInt(0);
while (!((a | b) & BigInt(1))) {
a >>= BigInt(1);
b >>= BigInt(1);
shift++;
}
while (!(a & BigInt(1))) a >>= BigInt(1);
do {
while (!(b & BigInt(1))) b >>= BigInt(1);
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
*/
const lcm = function (a, b) {
a = BigInt(a);
b = BigInt(b);
return abs(a * b) / gcd(a, b);
};
/**
* 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
*/
const toZn = function (a, n) {
n = BigInt(n);
a = BigInt(a) % n;
return (a < 0) ? a + n : a;
};
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
@ -110,6 +52,77 @@ const eGcd = function (a, b) {
};
};
/**
* 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
*/
const gcd = function (a, b) {
a = abs(a);
b = abs(b);
let shift = BigInt(0);
while (!((a | b) & BigInt(1))) {
a >>= BigInt(1);
b >>= BigInt(1);
shift++;
}
while (!(a & BigInt(1))) a >>= BigInt(1);
do {
while (!(b & BigInt(1))) b >>= BigInt(1);
if (a > b) {
let x = a;
a = b;
b = x;
}
b -= a;
} while (b);
// rescale
return a << shift;
};
/**
* 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 {bigint} w An integer to be tested for primality
* @param {number} iterations The number of iterations for the primality test. The value shall be consistent with Table C.1, C.2 or C.3
*
* @return {Promise} A promise that resolve to a boolean that is either true (a probably prime number) or false (definitely composite)
*/
const isProbablyPrime = async function (w, iterations = 16) {
{
return new Promise(resolve => {
let worker = _isProbablyPrimeWorker();
worker.onmessage = (event) => {
worker.terminate();
resolve(event.data.isPrime);
};
worker.postMessage({
'rnd': w,
'iterations': iterations
});
});
}
};
/**
* 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
*/
const lcm = function (a, b) {
a = BigInt(a);
b = BigInt(b);
return abs(a * b) / gcd(a, b);
};
/**
* Modular inverse.
*
@ -159,29 +172,56 @@ const modPow = function (a, b, n) {
};
/**
* Secure random bytes for both node and browsers. Browser implementation uses WebWorkers in order to not lock the main process
* 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).
*
* @param {number} byteLength The desired number of random bytes
* @param {boolean} forceLength If we want to force the output to have a bit length of 8*byteLength. It basically forces the msb to be 1
* @param {number} bitLength The required bit length for the generated prime
* @param {number} iterations The number of iterations for the Miller-Rabin Probabilistic Primality Test
*
* @returns {Promise} A promise that resolves to a Buffer/UInt8Array filled with cryptographically secure random bytes
* @returns {Promise} A promise that resolves to a bigint probable prime of bitLength bits
*/
const randBytes = async function (byteLength, forceLength = false) {
return new Promise((resolve) => {
let buf;
const prime = async function (bitLength, iterations = 16) {
return new Promise(async (resolve) => {
{
let workerList = [];
for (let i = 0; i < self.navigator.hardwareConcurrency; i++) {
let newWorker = _isProbablyPrimeWorker();
newWorker.onmessage = async (event) => {
if (event.data.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) {
workerList.pop();
}
resolve(event.data.value);
} else { // if a composite is found, make the worker test another random number
let rnd = BigInt(0);
rnd = fromBuffer(await randBytes(bitLength / 8, true));
newWorker.postMessage({
'rnd': rnd,
'iterations': iterations
});
}
};
workerList.push(newWorker);
}
for (const worker of workerList) {
let rnd = BigInt(0);
rnd = fromBuffer(await randBytes(bitLength / 8, true));
worker.postMessage({
'rnd': rnd,
'iterations': iterations
});
}
{ // browser
buf = new Uint8Array(byteLength);
self.crypto.getRandomValues(buf);
// If fixed length is required we put the first bit to 1 -> to get the necessary bitLength
if (forceLength)
buf[0] = buf[0] | 128;
resolve(buf);
}
});
};
/**
* Returns a cryptographically secure random integer between [min,max]
* @param {bigint} max Returned value will be <= max
@ -211,53 +251,74 @@ const randBetween = async function (max, min = 1) {
};
/**
* 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)
* Secure random bytes for both node and browsers. Node version uses crypto.randomFill() and browser one self.crypto.getRandomValues()
*
* @param {bigint} w An integer to be tested for primality
* @param {number} iterations The number of iterations for the primality test. The value shall be consistent with Table C.1, C.2 or C.3
* @param {number} byteLength The desired number of random bytes
* @param {boolean} forceLength If we want to force the output to have a bit length of 8*byteLength. It basically forces the msb to be 1
*
* @return {Promise} A promise that resolve to a boolean that is either true (a probably prime number) or false (definitely composite)
* @returns {Promise} A promise that resolves to a Buffer/UInt8Array filled with cryptographically secure random bytes
*/
const isProbablyPrime = async function (w, iterations = 16) {
{
return new Promise(resolve => {
let worker = _isProbablyPrimeWorker();
const randBytes = async function (byteLength, forceLength = false) {
return new Promise((resolve) => {
let buf;
worker.onmessage = (event) => {
resolve(event.data.isPrime);
};
worker.postMessage({
'rnd': w,
'iterations': iterations
});
});
}
{ // browser
buf = new Uint8Array(byteLength);
self.crypto.getRandomValues(buf);
// If fixed length is required we put the first bit to 1 -> to get the necessary bitLength
if (forceLength)
buf[0] = buf[0] | 128;
resolve(buf);
}
});
};
/**
* 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
*/
const toZn = function (a, n) {
n = BigInt(n);
a = BigInt(a) % n;
return (a < 0) ? a + n : a;
};
/* HELPER FUNCTIONS */
function fromBuffer(buf) {
let ret = BigInt(0);
for (let i of buf.values()) {
let bi = BigInt(i);
ret = (ret << BigInt(8)) + bi;
}
return ret;
}
function bitLength(a) {
let bits = 1;
do {
bits++;
} while ((a >>= BigInt(1)) > BigInt(1));
return bits;
}
function _isProbablyPrimeWorker() {
async function _onmessage(event) { // Let's start once we are called
// event.data = {rnd: <bigint>, iterations: <number>}
const isPrime = await isProbablyPrime(event.data.rnd, event.data.iterations, false);
const isPrime = await isProbablyPrime(event.data.rnd, event.data.iterations);
postMessage({
'isPrime': isPrime,
'value': event.data.rnd
});
}
let workerCode = `(() => {
'use strict';
let workerCode = `(() => {'use strict';const eGcd = ${eGcd.toString()};const modInv = ${modInv.toString()};const modPow = ${modPow.toString()};const toZn = ${toZn.toString()};const randBytes = ${randBytes.toString()};const randBetween = ${randBetween.toString()};const isProbablyPrime = ${_isProbablyPrime.toString()};${bitLength.toString()}${fromBuffer.toString()}onmessage = ${_onmessage.toString()};})()`;
const eGcd = ${eGcd.toString()};
const modInv = ${modInv.toString()};
const modPow = ${modPow.toString()};
const toZn = ${toZn.toString()};
const randBytes = ${randBytes.toString()};
const randBetween = ${randBetween.toString()};
const isProbablyPrime = ${_isProbablyPrime.toString()};
${bitLength.toString()}
${fromBuffer.toString()}
onmessage = ${_onmessage.toString()};
})()`;
var _blob = new Blob([workerCode], { type: 'text/javascript' });
return new Worker(window.URL.createObjectURL(_blob));
@ -582,75 +643,4 @@ async function _isProbablyPrime(w, iterations = 16) {
return true;
}
/**
* A probably-prime (Miller-Rabin), cryptographically-secure, random-number generator
*
* @param {number} bitLength The required bit length for the generated prime
* @param {number} iterations The number of iterations for the Miller-Rabin Probabilistic Primality Test
*
* @returns {Promise} A promise that resolves to a bigint probable prime of bitLength bits
*/
const prime = async function (bitLength, iterations = 16) {
return new Promise(async (resolve) => {
{
let workerList = [];
for (let i = 0; i < self.navigator.hardwareConcurrency; i++) {
let newWorker = _isProbablyPrimeWorker();
newWorker.onmessage = async (event) => {
if (event.data.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) {
workerList.pop();
}
resolve(event.data.value);
} else { // if a composite is found, make the worker test another random number
let rnd = BigInt(0);
rnd = fromBuffer(await randBytes(bitLength / 8, true));
newWorker.postMessage({
'rnd': rnd,
'iterations': iterations
});
}
};
workerList.push(newWorker);
}
for (const worker of workerList) {
let rnd = BigInt(0);
rnd = fromBuffer(await randBytes(bitLength / 8, true));
worker.postMessage({
'rnd': rnd,
'iterations': iterations
});
}
}
});
};
/* HELPER FUNCTIONS */
function fromBuffer(buf) {
let ret = BigInt(0);
for (let i of buf.values()) {
let bi = BigInt(i);
ret = (ret << BigInt(8)) + bi;
}
return ret;
}
function bitLength(a) {
let bits = 1;
do {
bits++;
} while ((a >>= BigInt(1)) > BigInt(1));
return bits;
}
export { abs, eGcd, gcd, isProbablyPrime, lcm, modInv, modPow, prime, randBetween, randBytes, toZn };

1
dist/bigint-crypto-utils-latest.browser.mod.min.js vendored Normal file
View File

@ -0,0 +1 @@
const abs=function(b){return b=BigInt(b),b>=BigInt(0)?b:-b},eGcd=function(c,d){c=BigInt(c),d=BigInt(d);let e=BigInt(0),f=BigInt(1),g=BigInt(1),h=BigInt(0);for(;c!==BigInt(0);){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}},gcd=function(c,d){c=abs(c),d=abs(d);let e=BigInt(0);for(;!((c|d)&BigInt(1));)c>>=BigInt(1),d>>=BigInt(1),e++;for(;!(c&BigInt(1));)c>>=BigInt(1);do{for(;!(d&BigInt(1));)d>>=BigInt(1);if(c>d){let a=c;c=d,d=a}d-=c}while(d);return c<<e},isProbablyPrime=async function(a,b=16){return new Promise(c=>{let d=_isProbablyPrimeWorker();d.onmessage=a=>{d.terminate(),c(a.data.isPrime)},d.postMessage({rnd:a,iterations:b})})},lcm=function(c,d){return c=BigInt(c),d=BigInt(d),abs(c*d)/gcd(c,d)},modInv=function(b,a){let c=eGcd(b,a);return c.b===BigInt(1)?toZn(c.x,a):null},modPow=function(c,d,e){if(e=BigInt(e),c=toZn(c,e),d=BigInt(d),d<BigInt(0))return modInv(modPow(c,abs(d),e),e);let f=BigInt(1),g=c;for(;0<d;){var h=d%BigInt(2);d/=BigInt(2),h==BigInt(1)&&(f*=g,f%=e),g*=g,g%=e}return f},prime=async function(a,b=16){return new Promise(async c=>{{let d=[];for(let e,f=0;f<self.navigator.hardwareConcurrency;f++)e=_isProbablyPrimeWorker(),e.onmessage=async f=>{if(f.data.isPrime){for(let a=0;a<d.length;a++)d[a].terminate();for(;d.length;)d.pop();c(f.data.value)}else{let c=BigInt(0);c=fromBuffer((await randBytes(a/8,!0))),e.postMessage({rnd:c,iterations:b})}},d.push(e);for(const c of d){let d=BigInt(0);d=fromBuffer((await randBytes(a/8,!0))),c.postMessage({rnd:d,iterations:b})}}})},randBetween=async function(a,b=1){let c,d=bitLength(a),e=d>>3,f=d-8*e;0<f&&(e++,c=2**f-1);let g;do{let a=await randBytes(e);0<f&&(a[0]&=c),g=fromBuffer(a)}while(g>a||g<b);return g},randBytes=async function(a,b=!1){return new Promise(c=>{let d;d=new Uint8Array(a),self.crypto.getRandomValues(d),b&&(d[0]|=128),c(d)})},toZn=function(b,c){return c=BigInt(c),b=BigInt(b)%c,0>b?b+c:b};function fromBuffer(a){let b=BigInt(0);for(let c of a.values()){let a=BigInt(c);b=(b<<BigInt(8))+a}return b}function bitLength(b){let c=1;do c++;while((b>>=BigInt(1))>BigInt(1));return c}function _isProbablyPrimeWorker(){let a=`(() => {'use strict';const eGcd = ${eGcd.toString()};const modInv = ${modInv.toString()};const modPow = ${modPow.toString()};const toZn = ${toZn.toString()};const randBytes = ${randBytes.toString()};const randBetween = ${randBetween.toString()};const isProbablyPrime = ${_isProbablyPrime.toString()};${bitLength.toString()}${fromBuffer.toString()}onmessage = ${async function(a){const b=await isProbablyPrime(a.data.rnd,a.data.iterations);postMessage({isPrime:b,value:a.data.rnd})}.toString()};})()`;var b=new Blob([a],{type:"text/javascript"});return new Worker(window.URL.createObjectURL(b))}async function _isProbablyPrime(c,b=16){if(c===BigInt(2))return!0;if((c&BigInt(1))===BigInt(0)||c===BigInt(1))return!1;const e=[3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597];for(let a=0;a<e.length&&BigInt(e[a])<=c;a++){const b=BigInt(e[a]);if(c===b)return!0;if(c%b===BigInt(0))return!1}let f=BigInt(0),g=c-BigInt(1);for(;g%BigInt(2)===BigInt(0);)g/=BigInt(2),++f;let h=(c-BigInt(1))/BigInt(2)**f;loop:do{let a=await randBetween(c-BigInt(1),2),b=modPow(a,h,c);if(b===BigInt(1)||b===c-BigInt(1))continue;for(let a=1;a<f;a++){if(b=modPow(b,BigInt(2),c),b===c-BigInt(1))continue loop;if(b===BigInt(1))break}return!1}while(--b);return!0}export{abs,eGcd,gcd,isProbablyPrime,lcm,modInv,modPow,prime,randBetween,randBytes,toZn};

254
dist/bigint-utils-latest.node.js → dist/bigint-crypto-utils-latest.node.js vendored
View File

@ -14,64 +14,6 @@ const abs = function (a) {
return (a >= BigInt(0)) ? a : -a;
};
/**
* 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
*/
const gcd = function (a, b) {
a = abs(a);
b = abs(b);
let shift = BigInt(0);
while (!((a | b) & BigInt(1))) {
a >>= BigInt(1);
b >>= BigInt(1);
shift++;
}
while (!(a & BigInt(1))) a >>= BigInt(1);
do {
while (!(b & BigInt(1))) b >>= BigInt(1);
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
*/
const lcm = function (a, b) {
a = BigInt(a);
b = BigInt(b);
return abs(a * b) / gcd(a, b);
};
/**
* 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
*/
const toZn = function (a, n) {
n = BigInt(n);
a = BigInt(a) % n;
return (a < 0) ? a + n : a;
};
/**
* @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
* @property {bigint} g
@ -114,6 +56,65 @@ const eGcd = function (a, b) {
};
};
/**
* 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
*/
const gcd = function (a, b) {
a = abs(a);
b = abs(b);
let shift = BigInt(0);
while (!((a | b) & BigInt(1))) {
a >>= BigInt(1);
b >>= BigInt(1);
shift++;
}
while (!(a & BigInt(1))) a >>= BigInt(1);
do {
while (!(b & BigInt(1))) b >>= BigInt(1);
if (a > b) {
let x = a;
a = b;
b = x;
}
b -= a;
} while (b);
// rescale
return a << shift;
};
/**
* 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 {bigint} w An integer to be tested for primality
* @param {number} iterations The number of iterations for the primality test. The value shall be consistent with Table C.1, C.2 or C.3
*
* @return {Promise} A promise that resolve to a boolean that is either true (a probably prime number) or false (definitely composite)
*/
const isProbablyPrime = async function (w, iterations = 16) {
{
return _isProbablyPrime(w, iterations);
}
};
/**
* 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
*/
const lcm = function (a, b) {
a = BigInt(a);
b = BigInt(b);
return abs(a * b) / gcd(a, b);
};
/**
* Modular inverse.
*
@ -163,32 +164,27 @@ const modPow = function (a, b, n) {
};
/**
* Secure random bytes for both node and browsers. Browser implementation uses WebWorkers in order to not lock the main process
* 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).
*
* @param {number} byteLength The desired number of random bytes
* @param {boolean} forceLength If we want to force the output to have a bit length of 8*byteLength. It basically forces the msb to be 1
* @param {number} bitLength The required bit length for the generated prime
* @param {number} iterations The number of iterations for the Miller-Rabin Probabilistic Primality Test
*
* @returns {Promise} A promise that resolves to a Buffer/UInt8Array filled with cryptographically secure random bytes
* @returns {Promise} A promise that resolves to a bigint probable prime of bitLength bits
*/
const randBytes = async function (byteLength, forceLength = false) {
return new Promise((resolve) => {
let buf;
{ // node
const crypto = require('crypto');
buf = Buffer.alloc(byteLength);
crypto.randomFill(buf, (err, buf) => {
// If fixed length is required we put the first bit to 1 -> to get the necessary bitLength
if (forceLength)
buf[0] = buf[0] | 128;
resolve(buf);
});
const prime = async function (bitLength, iterations = 16) {
return new Promise(async (resolve) => {
{
let rnd = BigInt(0);
do {
rnd = fromBuffer(await randBytes(bitLength / 8, true));
} while (! await isProbablyPrime(rnd, iterations));
resolve(rnd);
}
});
};
/**
* Returns a cryptographically secure random integer between [min,max]
* @param {bigint} max Returned value will be <= max
@ -218,19 +214,65 @@ const randBetween = async function (max, min = 1) {
};
/**
* 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)
* Secure random bytes for both node and browsers. Node version uses crypto.randomFill() and browser one self.crypto.getRandomValues()
*
* @param {bigint} w An integer to be tested for primality
* @param {number} iterations The number of iterations for the primality test. The value shall be consistent with Table C.1, C.2 or C.3
* @param {number} byteLength The desired number of random bytes
* @param {boolean} forceLength If we want to force the output to have a bit length of 8*byteLength. It basically forces the msb to be 1
*
* @return {Promise} A promise that resolve to a boolean that is either true (a probably prime number) or false (definitely composite)
* @returns {Promise} A promise that resolves to a Buffer/UInt8Array filled with cryptographically secure random bytes
*/
const isProbablyPrime = async function (w, iterations = 16) {
{
return _isProbablyPrime(w, iterations);
}
const randBytes = async function (byteLength, forceLength = false) {
return new Promise((resolve) => {
let buf;
{ // node
const crypto = require('crypto');
buf = Buffer.alloc(byteLength);
crypto.randomFill(buf, (err, buf) => {
// If fixed length is required we put the first bit to 1 -> to get the necessary bitLength
if (forceLength)
buf[0] = buf[0] | 128;
resolve(buf);
});
}
});
};
/**
* 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
*/
const toZn = function (a, n) {
n = BigInt(n);
a = BigInt(a) % n;
return (a < 0) ? a + n : a;
};
/* HELPER FUNCTIONS */
function fromBuffer(buf) {
let ret = BigInt(0);
for (let i of buf.values()) {
let bi = BigInt(i);
ret = (ret << BigInt(8)) + bi;
}
return ret;
}
function bitLength(a) {
let bits = 1;
do {
bits++;
} while ((a >>= BigInt(1)) > BigInt(1));
return bits;
}
async function _isProbablyPrime(w, iterations = 16) {
/*
PREFILTERING. Even values but 2 are not primes, so don't test.
@ -550,48 +592,6 @@ async function _isProbablyPrime(w, iterations = 16) {
return true;
}
/**
* A probably-prime (Miller-Rabin), cryptographically-secure, random-number generator
*
* @param {number} bitLength The required bit length for the generated prime
* @param {number} iterations The number of iterations for the Miller-Rabin Probabilistic Primality Test
*
* @returns {Promise} A promise that resolves to a bigint probable prime of bitLength bits
*/
const prime = async function (bitLength, iterations = 16) {
return new Promise(async (resolve) => {
{
let rnd = BigInt(0);
do {
rnd = fromBuffer(await randBytes(bitLength / 8, true));
} while (! await isProbablyPrime(rnd, iterations));
resolve(rnd);
}
});
};
/* HELPER FUNCTIONS */
function fromBuffer(buf) {
let ret = BigInt(0);
for (let i of buf.values()) {
let bi = BigInt(i);
ret = (ret << BigInt(8)) + bi;
}
return ret;
}
function bitLength(a) {
let bits = 1;
do {
bits++;
} while ((a >>= BigInt(1)) > BigInt(1));
return bits;
}
exports.abs = abs;
exports.eGcd = eGcd;
exports.gcd = gcd;

15
dist/bigint-utils-latest.browser.min.js vendored
View File

@ -1,15 +0,0 @@
var bigintUtils=function(a){'use strict';function b(){let a=`(() => {
'use strict';
const eGcd = ${i.toString()};
const modInv = ${j.toString()};
const modPow = ${k.toString()};
const toZn = ${h.toString()};
const randBytes = ${l.toString()};
const randBetween = ${n.toString()};
const isProbablyPrime = ${c.toString()};
${e.toString()}
${d.toString()}
onmessage = ${async function(a){const b=await o(a.data.rnd,a.data.iterations,!1);postMessage({isPrime:b,value:a.data.rnd})}.toString()};
})()`;var b=new Blob([a],{type:"text/javascript"});return new Worker(window.URL.createObjectURL(b))}async function c(c,b=16){if(c===BigInt(2))return!0;if((c&BigInt(1))===BigInt(0)||c===BigInt(1))return!1;const e=[3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597];for(let a=0;a<e.length&&BigInt(e[a])<=c;a++){const b=BigInt(e[a]);if(c===b)return!0;if(c%b===BigInt(0))return!1}let f=BigInt(0),g=c-BigInt(1);for(;g%BigInt(2)===BigInt(0);)g/=BigInt(2),++f;let h=(c-BigInt(1))/BigInt(2)**f;loop:do{let a=await n(c-BigInt(1),2),b=k(a,h,c);if(b===BigInt(1)||b===c-BigInt(1))continue;for(let a=1;a<f;a++){if(b=k(b,BigInt(2),c),b===c-BigInt(1))continue loop;if(b===BigInt(1))break}return!1}while(--b);return!0}function d(a){let b=BigInt(0);for(let c of a.values()){let a=BigInt(c);b=(b<<BigInt(8))+a}return b}function e(b){let c=1;do c++;while((b>>=BigInt(1))>BigInt(1));return c}const f=function(b){return b=BigInt(b),b>=BigInt(0)?b:-b},g=function(c,d){c=f(c),d=f(d);let e=BigInt(0);for(;!((c|d)&BigInt(1));)c>>=BigInt(1),d>>=BigInt(1),e++;for(;!(c&BigInt(1));)c>>=BigInt(1);do{for(;!(d&BigInt(1));)d>>=BigInt(1);if(c>d){let a=c;c=d,d=a}d-=c}while(d);return c<<e},h=function(b,c){return c=BigInt(c),b=BigInt(b)%c,0>b?b+c:b},i=function(c,d){c=BigInt(c),d=BigInt(d);let e=BigInt(0),f=BigInt(1),g=BigInt(1),h=BigInt(0);for(;c!==BigInt(0);){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}},j=function(b,a){let c=i(b,a);return c.b===BigInt(1)?h(c.x,a):null},k=function(c,d,e){if(e=BigInt(e),c=h(c,e),d=BigInt(d),d<BigInt(0))return j(k(c,f(d),e),e);let g=BigInt(1),i=c;for(;0<d;){var l=d%BigInt(2);d/=BigInt(2),l==BigInt(1)&&(g*=i,g%=e),i*=i,i%=e}return g},l=async function(a,b=!1){return new Promise(c=>{let d;d=new Uint8Array(a),self.crypto.getRandomValues(d),b&&(d[0]|=128),c(d)})},n=async function(a,b=1){let c,f=e(a),g=f>>3,h=f-8*g;0<h&&(g++,c=2**h-1);let i;do{let a=await l(g);0<h&&(a[0]&=c),i=d(a)}while(i>a||i<b);return i},o=async function(a,c=16){return new Promise(d=>{let e=b();e.onmessage=a=>{d(a.data.isPrime)},e.postMessage({rnd:a,iterations:c})})};return a.abs=f,a.eGcd=i,a.gcd=g,a.isProbablyPrime=o,a.lcm=function(c,d){return c=BigInt(c),d=BigInt(d),f(c*d)/g(c,d)},a.modInv=j,a.modPow=k,a.prime=async function(a,c=16){return new Promise(async e=>{{let f=[];for(let g,h=0;h<self.navigator.hardwareConcurrency;h++)g=b(),g.onmessage=async b=>{if(b.data.isPrime){for(let a=0;a<f.length;a++)f[a].terminate();for(;f.length;)f.pop();e(b.data.value)}else{let b=BigInt(0);b=d((await l(a/8,!0))),g.postMessage({rnd:b,iterations:c})}},f.push(g);for(const b of f){let e=BigInt(0);e=d((await l(a/8,!0))),b.postMessage({rnd:e,iterations:c})}}})},a.randBetween=n,a.randBytes=l,a.toZn=h,a}({});

15
dist/bigint-utils-latest.browser.mod.min.js vendored
View File

@ -1,15 +0,0 @@
const abs=function(b){return b=BigInt(b),b>=BigInt(0)?b:-b},gcd=function(c,d){c=abs(c),d=abs(d);let e=BigInt(0);for(;!((c|d)&BigInt(1));)c>>=BigInt(1),d>>=BigInt(1),e++;for(;!(c&BigInt(1));)c>>=BigInt(1);do{for(;!(d&BigInt(1));)d>>=BigInt(1);if(c>d){let a=c;c=d,d=a}d-=c}while(d);return c<<e},lcm=function(c,d){return c=BigInt(c),d=BigInt(d),abs(c*d)/gcd(c,d)},toZn=function(b,c){return c=BigInt(c),b=BigInt(b)%c,0>b?b+c:b},eGcd=function(c,d){c=BigInt(c),d=BigInt(d);let e=BigInt(0),f=BigInt(1),g=BigInt(1),h=BigInt(0);for(;c!==BigInt(0);){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}},modInv=function(b,a){let c=eGcd(b,a);return c.b===BigInt(1)?toZn(c.x,a):null},modPow=function(c,d,e){if(e=BigInt(e),c=toZn(c,e),d=BigInt(d),d<BigInt(0))return modInv(modPow(c,abs(d),e),e);let f=BigInt(1),g=c;for(;0<d;){var h=d%BigInt(2);d/=BigInt(2),h==BigInt(1)&&(f*=g,f%=e),g*=g,g%=e}return f},randBytes=async function(a,b=!1){return new Promise(c=>{let d;d=new Uint8Array(a),self.crypto.getRandomValues(d),b&&(d[0]|=128),c(d)})},randBetween=async function(a,b=1){let c,d=bitLength(a),e=d>>3,f=d-8*e;0<f&&(e++,c=2**f-1);let g;do{let a=await randBytes(e);0<f&&(a[0]&=c),g=fromBuffer(a)}while(g>a||g<b);return g},isProbablyPrime=async function(a,b=16){return new Promise(c=>{let d=_isProbablyPrimeWorker();d.onmessage=a=>{c(a.data.isPrime)},d.postMessage({rnd:a,iterations:b})})};function _isProbablyPrimeWorker(){let a=`(() => {
'use strict';
const eGcd = ${eGcd.toString()};
const modInv = ${modInv.toString()};
const modPow = ${modPow.toString()};
const toZn = ${toZn.toString()};
const randBytes = ${randBytes.toString()};
const randBetween = ${randBetween.toString()};
const isProbablyPrime = ${_isProbablyPrime.toString()};
${bitLength.toString()}
${fromBuffer.toString()}
onmessage = ${async function(a){const b=await isProbablyPrime(a.data.rnd,a.data.iterations,!1);postMessage({isPrime:b,value:a.data.rnd})}.toString()};
})()`;var b=new Blob([a],{type:"text/javascript"});return new Worker(window.URL.createObjectURL(b))}async function _isProbablyPrime(c,b=16){if(c===BigInt(2))return!0;if((c&BigInt(1))===BigInt(0)||c===BigInt(1))return!1;const e=[3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597];for(let a=0;a<e.length&&BigInt(e[a])<=c;a++){const b=BigInt(e[a]);if(c===b)return!0;if(c%b===BigInt(0))return!1}let f=BigInt(0),g=c-BigInt(1);for(;g%BigInt(2)===BigInt(0);)g/=BigInt(2),++f;let h=(c-BigInt(1))/BigInt(2)**f;loop:do{let a=await randBetween(c-BigInt(1),2),b=modPow(a,h,c);if(b===BigInt(1)||b===c-BigInt(1))continue;for(let a=1;a<f;a++){if(b=modPow(b,BigInt(2),c),b===c-BigInt(1))continue loop;if(b===BigInt(1))break}return!1}while(--b);return!0}const prime=async function(a,b=16){return new Promise(async c=>{{let d=[];for(let e,f=0;f<self.navigator.hardwareConcurrency;f++)e=_isProbablyPrimeWorker(),e.onmessage=async f=>{if(f.data.isPrime){for(let a=0;a<d.length;a++)d[a].terminate();for(;d.length;)d.pop();c(f.data.value)}else{let c=BigInt(0);c=fromBuffer((await randBytes(a/8,!0))),e.postMessage({rnd:c,iterations:b})}},d.push(e);for(const c of d){let d=BigInt(0);d=fromBuffer((await randBytes(a/8,!0))),c.postMessage({rnd:d,iterations:b})}}})};function fromBuffer(a){let b=BigInt(0);for(let c of a.values()){let a=BigInt(c);b=(b<<BigInt(8))+a}return b}function bitLength(b){let c=1;do c++;while((b>>=BigInt(1))>BigInt(1));return c}export{abs,eGcd,gcd,isProbablyPrime,lcm,modInv,modPow,prime,randBetween,randBytes,toZn};