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bigint-crypto-utils

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bigint-crypto-utils - npm Package Compare versions

Comparing version 2.1.2 to 2.1.3

42

dist/bigint-crypto-utils-latest.browser.js

@@ -29,3 +29,3 @@ var bigintCryptoUtils = (function (exports) {

a = BigInt(a);
if (a === _ONE)
if (a === _ONE)
return 1;

@@ -52,3 +52,3 @@ let bits = 1;

*
* @returns {egcdReturn}
* @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/

@@ -58,2 +58,5 @@ function eGcd(a, b) {

b = BigInt(b);
if (a <= _ZERO | b <= _ZERO)
return NaN; // a and b MUST be positive
let x = _ZERO;

@@ -94,2 +97,7 @@ let y = _ONE;

b = abs(b);
if (a === _ZERO)
return b;
else if (b === _ZERO)
return a;
let shift = _ZERO;

@@ -161,2 +169,4 @@ while (!((a | b) & _ONE)) {

b = BigInt(b);
if (a === _ZERO && b === _ZERO)
return _ZERO;
return abs(a * b) / gcd(a, b);

@@ -171,8 +181,11 @@ }

*
* @returns {bigint} the inverse modulo n
* @returns {bigint} the inverse modulo n or NaN if it does not exist
*/
function modInv(a, n) {
let egcd = eGcd(toZn(a,n), n);
if (a == _ZERO | n <= _ZERO)
return NaN;
let egcd = eGcd(toZn(a, n), n);
if (egcd.b !== _ONE) {
return null; // modular inverse does not exist
return NaN; // modular inverse does not exist
} else {

@@ -194,2 +207,5 @@ return toZn(egcd.x, n);

n = BigInt(n);
if (n === _ZERO)
return NaN;
a = toZn(a, n);

@@ -228,2 +244,4 @@ b = BigInt(b);

function prime(bitLength, iterations = 16) {
if (bitLength < 1)
throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);
return new Promise((resolve) => {

@@ -303,5 +321,8 @@ let workerList = [];

function randBits(bitLength, forceLength = false) {
if (bitLength < 1)
throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);
const byteLength = Math.ceil(bitLength / 8);
let rndBytes = randBytesSync(byteLength, false);
// Fill with 0's the extra birs
// Fill with 0's the extra bits
rndBytes[0] = rndBytes[0] & (2 ** (bitLength % 8) - 1);

@@ -324,2 +345,5 @@ if (forceLength) {

function randBytes(byteLength, forceLength = false) {
if (byteLength < 1)
throw new RangeError(`byteLength MUST be > 0 and it is ${byteLength}`);
let buf;

@@ -344,2 +368,5 @@ { // browser

function randBytesSync(byteLength, forceLength = false) {
if (byteLength < 1)
throw new RangeError(`byteLength MUST be > 0 and it is ${byteLength}`);
let buf;

@@ -365,2 +392,5 @@ { // browser

n = BigInt(n);
if (n <= 0)
return NaN;
a = BigInt(a) % n;

@@ -367,0 +397,0 @@ return (a < 0) ? a + n : a;

2

dist/bigint-crypto-utils-latest.browser.min.js

@@ -1,1 +0,1 @@

var bigintCryptoUtils=function(a){'use strict';function c(b){return b=BigInt(b),b>=r?b:-b}function d(b){if(b=BigInt(b),b===s)return 1;let c=1;do c++;while((b>>=s)>s);return c}function e(c,d){c=BigInt(c),d=BigInt(d);let e=r,f=s,g=s,h=r;for(;c!==r;){let a=d/c,b=d%c,i=e-g*a,j=f-h*a;d=c,c=b,e=g,f=h,g=i,h=j}return{b:d,x:e,y:f}}function f(d,e){d=c(d),e=c(e);let f=r;for(;!((d|e)&s);)d>>=s,e>>=s,f++;for(;!(d&s);)d>>=s;do{for(;!(e&s);)e>>=s;if(d>e){let a=d;d=e,e=a}e-=d}while(e);return d<<f}async function g(a,b=16){return"number"==typeof a&&(a=BigInt(a)),new Promise((c,d)=>{let e=new Worker(o());e.onmessage=a=>{e.terminate(),c(a.data.isPrime)},e.onmessageerror=a=>{d(a)},e.postMessage({rnd:a,iterations:b,id:0})})}function h(b,a){let c=e(m(b,a),a);return c.b===s?m(c.x,a):null}function i(d,e,f){if(f=BigInt(f),d=m(d,f),e=BigInt(e),e<r)return h(i(d,c(e),f),f);let g=s,j=d;for(;0<e;){var k=e%t;e/=t,k==s&&(g*=j,g%=f),j*=j,j%=f}return g}function j(a,b=s){if(a<=b)throw new Error("max must be > min");const c=a-b;let e,f=d(c);do{let a=k(f);e=n(a)}while(e>c);return e+b}function k(a,b=!1){var c=Math.ceil;const d=c(a/8);let e=l(d,!1);if(e[0]&=2**(a%8)-1,b){let b=a%8?2**(a%8-1):128;e[0]|=b}return e}function l(a,b=!1){let c;return c=new Uint8Array(a),self.crypto.getRandomValues(c),b&&(c[0]|=128),c}function m(b,c){return c=BigInt(c),b=BigInt(b)%c,0>b?b+c:b}function n(a){let b=r;for(let c of a.values()){let a=BigInt(c);b=(b<<BigInt(8))+a}return b}function o(){let a=`'use strict';const _ZERO = BigInt(0);const _ONE = BigInt(1);const _TWO = BigInt(2);const eGcd = ${e.toString()};const modInv = ${h.toString()};const modPow = ${i.toString()};const toZn = ${m.toString()};const randBits = ${k.toString()};const randBytesSync = ${l.toString()};const randBetween = ${j.toString()};const isProbablyPrime = ${q.toString()};${d.toString()}${n.toString()}`;return a+=`onmessage = ${async function(a){const b=await g(a.data.rnd,a.data.iterations);postMessage({isPrime:b,value:a.data.rnd,id:a.data.id})}.toString()};`,p(a)}function p(a){a=`(() => {${a}})()`;var b=new Blob([a],{type:"text/javascript"});return window.URL.createObjectURL(b)}function q(c,b=16){if(c===t)return!0;if((c&s)===r||c===s)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===r)return!1}let f=r,g=c-s;for(;g%t===r;)g/=t,++f;let h=(c-s)/t**f;loop:do{let a=j(c-s,t),b=i(a,h,c);if(b===s||b===c-s)continue;for(let a=1;a<f;a++){if(b=i(b,t,c),b===c-s)continue loop;if(b===s)break}return!1}while(--b);return!0}const r=BigInt(0),s=BigInt(1),t=BigInt(2);return a.abs=c,a.bitLength=d,a.eGcd=e,a.gcd=f,a.isProbablyPrime=g,a.lcm=function(d,e){return d=BigInt(d),e=BigInt(e),c(d*e)/f(d,e)},a.modInv=h,a.modPow=i,a.prime=function(a,b=16){return new Promise(c=>{let d=[];const e=(e,f)=>{if(e.isPrime){for(let a=0;a<d.length;a++)d[a].terminate();for(;d.length;)d.pop();c(e.value)}else{let c=k(a,!0),d=n(c);try{f.postMessage({rnd:d,iterations:b,id:e.id})}catch(a){}}};{let a=o();for(let b,c=0;c<self.navigator.hardwareConcurrency;c++)b=new Worker(a),b.onmessage=a=>e(a.data,b),d.push(b)}for(let e=0;e<d.length;e++){let c=k(a,!0),f=n(c);d[e].postMessage({rnd:f,iterations:b,id:e})}})},a.randBetween=j,a.randBits=k,a.randBytes=function(a,b=!1){let c;return new Promise(function(b){c=new Uint8Array(a),self.crypto.getRandomValues(c),b(c)})},a.randBytesSync=l,a.toZn=m,a}({});
var bigintCryptoUtils=function(a){'use strict';function c(b){return b=BigInt(b),b>=r?b:-b}function d(b){if(b=BigInt(b),b===s)return 1;let c=1;do c++;while((b>>=s)>s);return c}function e(c,d){if(c=BigInt(c),d=BigInt(d),c<=r|d<=r)return NaN;let e=r,f=s,g=s,h=r;for(;c!==r;){let a=d/c,b=d%c,i=e-g*a,j=f-h*a;d=c,c=b,e=g,f=h,g=i,h=j}return{b:d,x:e,y:f}}function f(d,e){if(d=c(d),e=c(e),d===r)return e;if(e===r)return d;let f=r;for(;!((d|e)&s);)d>>=s,e>>=s,f++;for(;!(d&s);)d>>=s;do{for(;!(e&s);)e>>=s;if(d>e){let a=d;d=e,e=a}e-=d}while(e);return d<<f}async function g(a,b=16){return"number"==typeof a&&(a=BigInt(a)),new Promise((c,d)=>{let e=new Worker(o());e.onmessage=a=>{e.terminate(),c(a.data.isPrime)},e.onmessageerror=a=>{d(a)},e.postMessage({rnd:a,iterations:b,id:0})})}function h(b,a){if(b==r|a<=r)return NaN;let c=e(m(b,a),a);return c.b===s?m(c.x,a):NaN}function i(d,e,f){if(f=BigInt(f),f===r)return NaN;if(d=m(d,f),e=BigInt(e),e<r)return h(i(d,c(e),f),f);let g=s,j=d;for(;0<e;){var k=e%t;e/=t,k==s&&(g*=j,g%=f),j*=j,j%=f}return g}function j(a,b=s){if(a<=b)throw new Error("max must be > min");const c=a-b;let e,f=d(c);do{let a=k(f);e=n(a)}while(e>c);return e+b}function k(a,b=!1){var c=Math.ceil;if(1>a)throw new RangeError(`bitLength MUST be > 0 and it is ${a}`);const d=c(a/8);let e=l(d,!1);if(e[0]&=2**(a%8)-1,b){let b=a%8?2**(a%8-1):128;e[0]|=b}return e}function l(a,b=!1){if(1>a)throw new RangeError(`byteLength MUST be > 0 and it is ${a}`);let c;return c=new Uint8Array(a),self.crypto.getRandomValues(c),b&&(c[0]|=128),c}function m(b,c){return(c=BigInt(c),0>=c)?NaN:(b=BigInt(b)%c,0>b?b+c:b)}function n(a){let b=r;for(let c of a.values()){let a=BigInt(c);b=(b<<BigInt(8))+a}return b}function o(){let a=`'use strict';const _ZERO = BigInt(0);const _ONE = BigInt(1);const _TWO = BigInt(2);const eGcd = ${e.toString()};const modInv = ${h.toString()};const modPow = ${i.toString()};const toZn = ${m.toString()};const randBits = ${k.toString()};const randBytesSync = ${l.toString()};const randBetween = ${j.toString()};const isProbablyPrime = ${q.toString()};${d.toString()}${n.toString()}`;return a+=`onmessage = ${async function(a){const b=await g(a.data.rnd,a.data.iterations);postMessage({isPrime:b,value:a.data.rnd,id:a.data.id})}.toString()};`,p(a)}function p(a){a=`(() => {${a}})()`;var b=new Blob([a],{type:"text/javascript"});return window.URL.createObjectURL(b)}function q(c,b=16){if(c===t)return!0;if((c&s)===r||c===s)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===r)return!1}let f=r,g=c-s;for(;g%t===r;)g/=t,++f;let h=(c-s)/t**f;loop:do{let a=j(c-s,t),b=i(a,h,c);if(b===s||b===c-s)continue;for(let a=1;a<f;a++){if(b=i(b,t,c),b===c-s)continue loop;if(b===s)break}return!1}while(--b);return!0}const r=BigInt(0),s=BigInt(1),t=BigInt(2);return a.abs=c,a.bitLength=d,a.eGcd=e,a.gcd=f,a.isProbablyPrime=g,a.lcm=function(d,e){return d=BigInt(d),e=BigInt(e),d===r&&e===r?r:c(d*e)/f(d,e)},a.modInv=h,a.modPow=i,a.prime=function(a,b=16){if(1>a)throw new RangeError(`bitLength MUST be > 0 and it is ${a}`);return new Promise(c=>{let d=[];const e=(e,f)=>{if(e.isPrime){for(let a=0;a<d.length;a++)d[a].terminate();for(;d.length;)d.pop();c(e.value)}else{let c=k(a,!0),d=n(c);try{f.postMessage({rnd:d,iterations:b,id:e.id})}catch(a){}}};{let a=o();for(let b,c=0;c<self.navigator.hardwareConcurrency;c++)b=new Worker(a),b.onmessage=a=>e(a.data,b),d.push(b)}for(let e=0;e<d.length;e++){let c=k(a,!0),f=n(c);d[e].postMessage({rnd:f,iterations:b,id:e})}})},a.randBetween=j,a.randBits=k,a.randBytes=function(a,b=!1){if(1>a)throw new RangeError(`byteLength MUST be > 0 and it is ${a}`);let c;return new Promise(function(b){c=new Uint8Array(a),self.crypto.getRandomValues(c),b(c)})},a.randBytesSync=l,a.toZn=m,a}({});

@@ -26,3 +26,3 @@ const _ZERO = BigInt(0);

a = BigInt(a);
if (a === _ONE)
if (a === _ONE)
return 1;

@@ -49,3 +49,3 @@ let bits = 1;

*
* @returns {egcdReturn}
* @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/

@@ -55,2 +55,5 @@ function eGcd(a, b) {

b = BigInt(b);
if (a <= _ZERO | b <= _ZERO)
return NaN; // a and b MUST be positive
let x = _ZERO;

@@ -91,2 +94,7 @@ let y = _ONE;

b = abs(b);
if (a === _ZERO)
return b;
else if (b === _ZERO)
return a;
let shift = _ZERO;

@@ -158,2 +166,4 @@ while (!((a | b) & _ONE)) {

b = BigInt(b);
if (a === _ZERO && b === _ZERO)
return _ZERO;
return abs(a * b) / gcd(a, b);

@@ -168,8 +178,11 @@ }

*
* @returns {bigint} the inverse modulo n
* @returns {bigint} the inverse modulo n or NaN if it does not exist
*/
function modInv(a, n) {
let egcd = eGcd(toZn(a,n), n);
if (a == _ZERO | n <= _ZERO)
return NaN;
let egcd = eGcd(toZn(a, n), n);
if (egcd.b !== _ONE) {
return null; // modular inverse does not exist
return NaN; // modular inverse does not exist
} else {

@@ -191,2 +204,5 @@ return toZn(egcd.x, n);

n = BigInt(n);
if (n === _ZERO)
return NaN;
a = toZn(a, n);

@@ -225,2 +241,4 @@ b = BigInt(b);

function prime(bitLength, iterations = 16) {
if (bitLength < 1)
throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);
return new Promise((resolve) => {

@@ -300,5 +318,8 @@ let workerList = [];

function randBits(bitLength, forceLength = false) {
if (bitLength < 1)
throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);
const byteLength = Math.ceil(bitLength / 8);
let rndBytes = randBytesSync(byteLength, false);
// Fill with 0's the extra birs
// Fill with 0's the extra bits
rndBytes[0] = rndBytes[0] & (2 ** (bitLength % 8) - 1);

@@ -321,2 +342,5 @@ if (forceLength) {

function randBytes(byteLength, forceLength = false) {
if (byteLength < 1)
throw new RangeError(`byteLength MUST be > 0 and it is ${byteLength}`);
let buf;

@@ -341,2 +365,5 @@ { // browser

function randBytesSync(byteLength, forceLength = false) {
if (byteLength < 1)
throw new RangeError(`byteLength MUST be > 0 and it is ${byteLength}`);
let buf;

@@ -362,2 +389,5 @@ { // browser

n = BigInt(n);
if (n <= 0)
return NaN;
a = BigInt(a) % n;

@@ -364,0 +394,0 @@ return (a < 0) ? a + n : a;

@@ -1,1 +0,1 @@

const _ZERO=BigInt(0),_ONE=BigInt(1),_TWO=BigInt(2);function abs(b){return b=BigInt(b),b>=_ZERO?b:-b}function bitLength(b){if(b=BigInt(b),b===_ONE)return 1;let c=1;do c++;while((b>>=_ONE)>_ONE);return c}function eGcd(c,d){c=BigInt(c),d=BigInt(d);let e=_ZERO,f=_ONE,g=_ONE,h=_ZERO;for(;c!==_ZERO;){let a=d/c,b=d%c,i=e-g*a,j=f-h*a;d=c,c=b,e=g,f=h,g=i,h=j}return{b:d,x:e,y:f}}function gcd(c,d){c=abs(c),d=abs(d);let e=_ZERO;for(;!((c|d)&_ONE);)c>>=_ONE,d>>=_ONE,e++;for(;!(c&_ONE);)c>>=_ONE;do{for(;!(d&_ONE);)d>>=_ONE;if(c>d){let a=c;c=d,d=a}d-=c}while(d);return c<<e}async function isProbablyPrime(a,b=16){return"number"==typeof a&&(a=BigInt(a)),new Promise((c,d)=>{let e=new Worker(_isProbablyPrimeWorkerUrl());e.onmessage=a=>{e.terminate(),c(a.data.isPrime)},e.onmessageerror=a=>{d(a)},e.postMessage({rnd:a,iterations:b,id:0})})}function lcm(c,d){return c=BigInt(c),d=BigInt(d),abs(c*d)/gcd(c,d)}function modInv(b,a){let c=eGcd(toZn(b,a),a);return c.b===_ONE?toZn(c.x,a):null}function modPow(c,d,e){if(e=BigInt(e),c=toZn(c,e),d=BigInt(d),d<_ZERO)return modInv(modPow(c,abs(d),e),e);let f=_ONE,g=c;for(;0<d;){var h=d%_TWO;d/=_TWO,h==_ONE&&(f*=g,f%=e),g*=g,g%=e}return f}function prime(a,b=16){return new Promise(c=>{let d=[];const e=(e,f)=>{if(e.isPrime){for(let a=0;a<d.length;a++)d[a].terminate();for(;d.length;)d.pop();c(e.value)}else{let c=randBits(a,!0),d=fromBuffer(c);try{f.postMessage({rnd:d,iterations:b,id:e.id})}catch(a){}}};{let a=_isProbablyPrimeWorkerUrl();for(let b,c=0;c<self.navigator.hardwareConcurrency;c++)b=new Worker(a),b.onmessage=a=>e(a.data,b),d.push(b)}for(let e=0;e<d.length;e++){let c=randBits(a,!0),f=fromBuffer(c);d[e].postMessage({rnd:f,iterations:b,id:e})}})}function randBetween(a,b=_ONE){if(a<=b)throw new Error("max must be > min");const c=a-b;let d,e=bitLength(c);do{let a=randBits(e);d=fromBuffer(a)}while(d>c);return d+b}function randBits(a,b=!1){var c=Math.ceil;const d=c(a/8);let e=randBytesSync(d,!1);if(e[0]&=2**(a%8)-1,b){let b=a%8?2**(a%8-1):128;e[0]|=b}return e}function randBytes(a,b=!1){let c;return new Promise(function(b){c=new Uint8Array(a),self.crypto.getRandomValues(c),b(c)})}function randBytesSync(a,b=!1){let c;return c=new Uint8Array(a),self.crypto.getRandomValues(c),b&&(c[0]|=128),c}function toZn(b,c){return c=BigInt(c),b=BigInt(b)%c,0>b?b+c:b}function fromBuffer(a){let b=_ZERO;for(let c of a.values()){let a=BigInt(c);b=(b<<BigInt(8))+a}return b}function _isProbablyPrimeWorkerUrl(){let a=`'use strict';const _ZERO = BigInt(0);const _ONE = BigInt(1);const _TWO = BigInt(2);const eGcd = ${eGcd.toString()};const modInv = ${modInv.toString()};const modPow = ${modPow.toString()};const toZn = ${toZn.toString()};const randBits = ${randBits.toString()};const randBytesSync = ${randBytesSync.toString()};const randBetween = ${randBetween.toString()};const isProbablyPrime = ${_isProbablyPrime.toString()};${bitLength.toString()}${fromBuffer.toString()}`;return a+=`onmessage = ${async function(a){const b=await isProbablyPrime(a.data.rnd,a.data.iterations);postMessage({isPrime:b,value:a.data.rnd,id:a.data.id})}.toString()};`,_workerUrl(a)}function _workerUrl(a){a=`(() => {${a}})()`;var b=new Blob([a],{type:"text/javascript"});return window.URL.createObjectURL(b)}function _isProbablyPrime(c,b=16){if(c===_TWO)return!0;if((c&_ONE)===_ZERO||c===_ONE)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===_ZERO)return!1}let f=_ZERO,g=c-_ONE;for(;g%_TWO===_ZERO;)g/=_TWO,++f;let h=(c-_ONE)/_TWO**f;loop:do{let a=randBetween(c-_ONE,_TWO),b=modPow(a,h,c);if(b===_ONE||b===c-_ONE)continue;for(let a=1;a<f;a++){if(b=modPow(b,_TWO,c),b===c-_ONE)continue loop;if(b===_ONE)break}return!1}while(--b);return!0}export{abs,bitLength,eGcd,gcd,isProbablyPrime,lcm,modInv,modPow,prime,randBetween,randBits,randBytes,randBytesSync,toZn};
const _ZERO=BigInt(0),_ONE=BigInt(1),_TWO=BigInt(2);function abs(b){return b=BigInt(b),b>=_ZERO?b:-b}function bitLength(b){if(b=BigInt(b),b===_ONE)return 1;let c=1;do c++;while((b>>=_ONE)>_ONE);return c}function eGcd(c,d){if(c=BigInt(c),d=BigInt(d),c<=_ZERO|d<=_ZERO)return NaN;let e=_ZERO,f=_ONE,g=_ONE,h=_ZERO;for(;c!==_ZERO;){let a=d/c,b=d%c,i=e-g*a,j=f-h*a;d=c,c=b,e=g,f=h,g=i,h=j}return{b:d,x:e,y:f}}function gcd(c,d){if(c=abs(c),d=abs(d),c===_ZERO)return d;if(d===_ZERO)return c;let e=_ZERO;for(;!((c|d)&_ONE);)c>>=_ONE,d>>=_ONE,e++;for(;!(c&_ONE);)c>>=_ONE;do{for(;!(d&_ONE);)d>>=_ONE;if(c>d){let a=c;c=d,d=a}d-=c}while(d);return c<<e}async function isProbablyPrime(a,b=16){return"number"==typeof a&&(a=BigInt(a)),new Promise((c,d)=>{let e=new Worker(_isProbablyPrimeWorkerUrl());e.onmessage=a=>{e.terminate(),c(a.data.isPrime)},e.onmessageerror=a=>{d(a)},e.postMessage({rnd:a,iterations:b,id:0})})}function lcm(c,d){return c=BigInt(c),d=BigInt(d),c===_ZERO&&d===_ZERO?_ZERO:abs(c*d)/gcd(c,d)}function modInv(b,a){if(b==_ZERO|a<=_ZERO)return NaN;let c=eGcd(toZn(b,a),a);return c.b===_ONE?toZn(c.x,a):NaN}function modPow(c,d,e){if(e=BigInt(e),e===_ZERO)return NaN;if(c=toZn(c,e),d=BigInt(d),d<_ZERO)return modInv(modPow(c,abs(d),e),e);let f=_ONE,g=c;for(;0<d;){var h=d%_TWO;d/=_TWO,h==_ONE&&(f*=g,f%=e),g*=g,g%=e}return f}function prime(a,b=16){if(1>a)throw new RangeError(`bitLength MUST be > 0 and it is ${a}`);return new Promise(c=>{let d=[];const e=(e,f)=>{if(e.isPrime){for(let a=0;a<d.length;a++)d[a].terminate();for(;d.length;)d.pop();c(e.value)}else{let c=randBits(a,!0),d=fromBuffer(c);try{f.postMessage({rnd:d,iterations:b,id:e.id})}catch(a){}}};{let a=_isProbablyPrimeWorkerUrl();for(let b,c=0;c<self.navigator.hardwareConcurrency;c++)b=new Worker(a),b.onmessage=a=>e(a.data,b),d.push(b)}for(let e=0;e<d.length;e++){let c=randBits(a,!0),f=fromBuffer(c);d[e].postMessage({rnd:f,iterations:b,id:e})}})}function randBetween(a,b=_ONE){if(a<=b)throw new Error("max must be > min");const c=a-b;let d,e=bitLength(c);do{let a=randBits(e);d=fromBuffer(a)}while(d>c);return d+b}function randBits(a,b=!1){var c=Math.ceil;if(1>a)throw new RangeError(`bitLength MUST be > 0 and it is ${a}`);const d=c(a/8);let e=randBytesSync(d,!1);if(e[0]&=2**(a%8)-1,b){let b=a%8?2**(a%8-1):128;e[0]|=b}return e}function randBytes(a,b=!1){if(1>a)throw new RangeError(`byteLength MUST be > 0 and it is ${a}`);let c;return new Promise(function(b){c=new Uint8Array(a),self.crypto.getRandomValues(c),b(c)})}function randBytesSync(a,b=!1){if(1>a)throw new RangeError(`byteLength MUST be > 0 and it is ${a}`);let c;return c=new Uint8Array(a),self.crypto.getRandomValues(c),b&&(c[0]|=128),c}function toZn(b,c){return(c=BigInt(c),0>=c)?NaN:(b=BigInt(b)%c,0>b?b+c:b)}function fromBuffer(a){let b=_ZERO;for(let c of a.values()){let a=BigInt(c);b=(b<<BigInt(8))+a}return b}function _isProbablyPrimeWorkerUrl(){let a=`'use strict';const _ZERO = BigInt(0);const _ONE = BigInt(1);const _TWO = BigInt(2);const eGcd = ${eGcd.toString()};const modInv = ${modInv.toString()};const modPow = ${modPow.toString()};const toZn = ${toZn.toString()};const randBits = ${randBits.toString()};const randBytesSync = ${randBytesSync.toString()};const randBetween = ${randBetween.toString()};const isProbablyPrime = ${_isProbablyPrime.toString()};${bitLength.toString()}${fromBuffer.toString()}`;return a+=`onmessage = ${async function(a){const b=await isProbablyPrime(a.data.rnd,a.data.iterations);postMessage({isPrime:b,value:a.data.rnd,id:a.data.id})}.toString()};`,_workerUrl(a)}function _workerUrl(a){a=`(() => {${a}})()`;var b=new Blob([a],{type:"text/javascript"});return window.URL.createObjectURL(b)}function _isProbablyPrime(c,b=16){if(c===_TWO)return!0;if((c&_ONE)===_ZERO||c===_ONE)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===_ZERO)return!1}let f=_ZERO,g=c-_ONE;for(;g%_TWO===_ZERO;)g/=_TWO,++f;let h=(c-_ONE)/_TWO**f;loop:do{let a=randBetween(c-_ONE,_TWO),b=modPow(a,h,c);if(b===_ONE||b===c-_ONE)continue;for(let a=1;a<f;a++){if(b=modPow(b,_TWO,c),b===c-_ONE)continue loop;if(b===_ONE)break}return!1}while(--b);return!0}export{abs,bitLength,eGcd,gcd,isProbablyPrime,lcm,modInv,modPow,prime,randBetween,randBits,randBytes,randBytesSync,toZn};

@@ -30,3 +30,3 @@ 'use strict';

a = BigInt(a);
if (a === _ONE)
if (a === _ONE)
return 1;

@@ -53,3 +53,3 @@ let bits = 1;

*
* @returns {egcdReturn}
* @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/

@@ -59,2 +59,5 @@ function eGcd(a, b) {

b = BigInt(b);
if (a <= _ZERO | b <= _ZERO)
return NaN; // a and b MUST be positive
let x = _ZERO;

@@ -95,2 +98,7 @@ let y = _ONE;

b = abs(b);
if (a === _ZERO)
return b;
else if (b === _ZERO)
return a;
let shift = _ZERO;

@@ -168,2 +176,4 @@ while (!((a | b) & _ONE)) {

b = BigInt(b);
if (a === _ZERO && b === _ZERO)
return _ZERO;
return abs(a * b) / gcd(a, b);

@@ -178,8 +188,11 @@ }

*
* @returns {bigint} the inverse modulo n
* @returns {bigint} the inverse modulo n or NaN if it does not exist
*/
function modInv(a, n) {
let egcd = eGcd(toZn(a,n), n);
if (a == _ZERO | n <= _ZERO)
return NaN;
let egcd = eGcd(toZn(a, n), n);
if (egcd.b !== _ONE) {
return null; // modular inverse does not exist
return NaN; // modular inverse does not exist
} else {

@@ -201,2 +214,5 @@ return toZn(egcd.x, n);

n = BigInt(n);
if (n === _ZERO)
return NaN;
a = toZn(a, n);

@@ -235,2 +251,5 @@ b = BigInt(b);

function prime(bitLength, iterations = 16) {
if (bitLength < 1)
throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);
if (!_useWorkers) {

@@ -318,5 +337,8 @@ let rnd = _ZERO;

function randBits(bitLength, forceLength = false) {
if (bitLength < 1)
throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);
const byteLength = Math.ceil(bitLength / 8);
let rndBytes = randBytesSync(byteLength, false);
// Fill with 0's the extra birs
// Fill with 0's the extra bits
rndBytes[0] = rndBytes[0] & (2 ** (bitLength % 8) - 1);

@@ -339,2 +361,5 @@ if (forceLength) {

function randBytes(byteLength, forceLength = false) {
if (byteLength < 1)
throw new RangeError(`byteLength MUST be > 0 and it is ${byteLength}`);
let buf;

@@ -362,2 +387,5 @@ { // node

function randBytesSync(byteLength, forceLength = false) {
if (byteLength < 1)
throw new RangeError(`byteLength MUST be > 0 and it is ${byteLength}`);
let buf;

@@ -384,2 +412,5 @@ { // node

n = BigInt(n);
if (n <= 0)
return NaN;
a = BigInt(a) % n;

@@ -386,0 +417,0 @@ return (a < 0) ? a + n : a;

{
"name": "bigint-crypto-utils",
"version": "2.1.2",
"version": "2.1.3",
"description": "Utils for working with cryptography using native JS (stage 3) implementation of BigInt. It includes arbitrary precision modular arithmetics, cryptographically secure random numbers and strong probable prime generation/testing.",

@@ -5,0 +5,0 @@ "keywords": [

@@ -176,2 +176,3 @@ # bigint-crypto-utils

**Kind**: global function
**Returns**: [<code>egcdReturn</code>](#egcdReturn) - A triple (g, x, y), such that ax + by = g = gcd(a, b).

@@ -229,3 +230,3 @@ | Param | Type |

**Kind**: global function
**Returns**: <code>bigint</code> - the inverse modulo n
**Returns**: <code>bigint</code> - the inverse modulo n or NaN if it does not exist

@@ -232,0 +233,0 @@ | Param | Type | Description |

@@ -28,3 +28,3 @@ 'use strict';

a = BigInt(a);
if (a === _ONE)
if (a === _ONE)
return 1;

@@ -51,3 +51,3 @@ let bits = 1;

*
* @returns {egcdReturn}
* @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/

@@ -57,2 +57,5 @@ export function eGcd(a, b) {

b = BigInt(b);
if (a <= _ZERO | b <= _ZERO)
return NaN; // a and b MUST be positive
let x = _ZERO;

@@ -93,2 +96,7 @@ let y = _ONE;

b = abs(b);
if (a === _ZERO)
return b;
else if (b === _ZERO)
return a;
let shift = _ZERO;

@@ -185,2 +193,4 @@ while (!((a | b) & _ONE)) {

b = BigInt(b);
if (a === _ZERO && b === _ZERO)
return _ZERO;
return abs(a * b) / gcd(a, b);

@@ -195,8 +205,11 @@ }

*
* @returns {bigint} the inverse modulo n
* @returns {bigint} the inverse modulo n or NaN if it does not exist
*/
export function modInv(a, n) {
let egcd = eGcd(toZn(a,n), n);
if (a == _ZERO | n <= _ZERO)
return NaN;
let egcd = eGcd(toZn(a, n), n);
if (egcd.b !== _ONE) {
return null; // modular inverse does not exist
return NaN; // modular inverse does not exist
} else {

@@ -218,2 +231,5 @@ return toZn(egcd.x, n);

n = BigInt(n);
if (n === _ZERO)
return NaN;
a = toZn(a, n);

@@ -252,2 +268,5 @@ b = BigInt(b);

export function prime(bitLength, iterations = 16) {
if (bitLength < 1)
throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);
if (!process.browser && !_useWorkers) {

@@ -342,5 +361,8 @@ let rnd = _ZERO;

export function randBits(bitLength, forceLength = false) {
if (bitLength < 1)
throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);
const byteLength = Math.ceil(bitLength / 8);
let rndBytes = randBytesSync(byteLength, false);
// Fill with 0's the extra birs
// Fill with 0's the extra bits
rndBytes[0] = rndBytes[0] & (2 ** (bitLength % 8) - 1);

@@ -363,2 +385,5 @@ if (forceLength) {

export function randBytes(byteLength, forceLength = false) {
if (byteLength < 1)
throw new RangeError(`byteLength MUST be > 0 and it is ${byteLength}`);
let buf;

@@ -392,2 +417,5 @@ if (!process.browser) { // node

export function randBytesSync(byteLength, forceLength = false) {
if (byteLength < 1)
throw new RangeError(`byteLength MUST be > 0 and it is ${byteLength}`);
let buf;

@@ -417,2 +445,5 @@ if (!process.browser) { // node

n = BigInt(n);
if (n <= 0)
return NaN;
a = BigInt(a) % n;

@@ -419,0 +450,0 @@ return (a < 0) ? a + n : a;

@@ -82,2 +82,17 @@ // For the browser test builder to work you MUST import them module in a variable that

{
a: BigInt(0),
b: BigInt(189),
gcd: BigInt(189)
},
{
a: BigInt(189),
b: BigInt(0),
gcd: BigInt(189)
},
{
a: BigInt(0),
b: BigInt(0),
gcd: BigInt(0)
},
{
a: BigInt(1),

@@ -248,2 +263,7 @@ b: BigInt('14546149867129487614601346814'),

modInv: BigInt(2)
},
{
a: BigInt(2),
n: BigInt(4),
modInv: NaN
}

@@ -253,8 +273,9 @@ ];

describe('modInv', function () {
let ret;
for (const input of inputs$4) {
let ret;
describe(`modInv(${input.a}, ${input.n})`, function () {
it(`should return ${input.modInv}`, function () {
ret = bigintCryptoUtils.modInv(input.a, input.n);
chai.expect(ret).to.equal(input.modInv);
// chai.assert( String(ret) === String(input.modInv) );
chai.expect(String(ret)).to.be.equal(String(input.modInv));
});

@@ -261,0 +282,0 @@ });

@@ -15,2 +15,17 @@ 'use strict';

{
a: BigInt(0),
b: BigInt(189),
gcd: BigInt(189)
},
{
a: BigInt(189),
b: BigInt(0),
gcd: BigInt(189)
},
{
a: BigInt(0),
b: BigInt(0),
gcd: BigInt(0)
},
{
a: BigInt(1),

@@ -17,0 +32,0 @@ b: BigInt('14546149867129487614601346814'),

@@ -23,2 +23,7 @@ 'use strict';

modInv: BigInt(2)
},
{
a: BigInt(2),
n: BigInt(4),
modInv: NaN
}

@@ -28,8 +33,9 @@ ];

describe('modInv', function () {
let ret;
for (const input of inputs) {
let ret;
describe(`modInv(${input.a}, ${input.n})`, function () {
it(`should return ${input.modInv}`, function () {
ret = bigintCryptoUtils.modInv(input.a, input.n);
chai.expect(ret).to.equal(input.modInv);
// chai.assert( String(ret) === String(input.modInv) );
chai.expect(String(ret)).to.be.equal(String(input.modInv));
});

@@ -36,0 +42,0 @@ });

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