also check if a number (not only a BigInt) is prime
This commit is contained in:
Juan Hernández Serrano
parent
6f79c2f595
commit
abf020f06e
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@ -164,7 +164,7 @@ Returns the bitlength of a number
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| Param | Type |
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| --- | --- |
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| a | <code>bigint</code> |
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| a | <code>number</code> \| <code>bigint</code> |
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<a name="eGcd"></a>
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@ -203,7 +203,7 @@ iterations of Miller-Rabin Probabilistic Primality Test (FIPS 186-4 C.3.1)
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| Param | Type | Description |
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| --- | --- | --- |
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| w | <code>bigint</code> | An integer to be tested for primality |
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| w | <code>number</code> \| <code>bigint</code> | An integer to be tested for primality |
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| iterations | <code>number</code> | 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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<a name="lcm"></a>
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@ -21,10 +21,11 @@ var bigintCryptoUtils = (function (exports) {
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/**
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* Returns the bitlength of a number
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*
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* @param {bigint} a
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* @param {number|bigint} a
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* @returns {number} - the bit length
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*/
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function bitLength(a) {
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a = BigInt(a);
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if (a === _ONE)
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return 1;
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let bits = 1;
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@ -112,12 +113,15 @@ var bigintCryptoUtils = (function (exports) {
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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 {bigint} w An integer to be tested for primality
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* @param {number|bigint} w An integer to be tested for primality
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* @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
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*
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* @return {Promise} 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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async function isProbablyPrime(w, iterations = 16) {
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if (typeof w === 'number') {
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w = BigInt(w);
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}
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{ // browser
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return new Promise((resolve, reject) => {
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let worker = new Worker(_isProbablyPrimeWorkerUrl());
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@ -1 +1 @@
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var bigintCryptoUtils=function(a){'use strict';function c(b){return b=BigInt(b),b>=r?b:-b}function d(b){if(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 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}({});
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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}({});
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@ -18,10 +18,11 @@ function abs(a) {
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/**
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* Returns the bitlength of a number
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*
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* @param {bigint} a
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* @param {number|bigint} a
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* @returns {number} - the bit length
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*/
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function bitLength(a) {
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a = BigInt(a);
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if (a === _ONE)
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return 1;
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let bits = 1;
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@ -109,12 +110,15 @@ function gcd(a, b) {
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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 {bigint} w An integer to be tested for primality
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* @param {number|bigint} w An integer to be tested for primality
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* @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
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*
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* @return {Promise} 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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async function isProbablyPrime(w, iterations = 16) {
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if (typeof w === 'number') {
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w = BigInt(w);
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}
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{ // browser
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return new Promise((resolve, reject) => {
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let worker = new Worker(_isProbablyPrimeWorkerUrl());
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@ -1 +1 @@
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const _ZERO=BigInt(0),_ONE=BigInt(1),_TWO=BigInt(2);function abs(b){return b=BigInt(b),b>=_ZERO?b:-b}function bitLength(b){if(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 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){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};
|
||||
|
|
|
|||
|
|
@ -22,10 +22,11 @@ function abs(a) {
|
|||
/**
|
||||
* Returns the bitlength of a number
|
||||
*
|
||||
* @param {bigint} a
|
||||
* @param {number|bigint} a
|
||||
* @returns {number} - the bit length
|
||||
*/
|
||||
function bitLength(a) {
|
||||
a = BigInt(a);
|
||||
if (a === _ONE)
|
||||
return 1;
|
||||
let bits = 1;
|
||||
|
|
@ -113,12 +114,15 @@ function gcd(a, b) {
|
|||
* 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|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 resolves to a boolean that is either true (a probably prime number) or false (definitely composite)
|
||||
*/
|
||||
async function isProbablyPrime(w, iterations = 16) {
|
||||
if (typeof w === 'number') {
|
||||
w = BigInt(w);
|
||||
}
|
||||
{ // Node.js
|
||||
if (_useWorkers) {
|
||||
const { Worker } = require('worker_threads');
|
||||
|
|
|
|||
|
|
@ -20,10 +20,11 @@ export function abs(a) {
|
|||
/**
|
||||
* Returns the bitlength of a number
|
||||
*
|
||||
* @param {bigint} a
|
||||
* @param {number|bigint} a
|
||||
* @returns {number} - the bit length
|
||||
*/
|
||||
export function bitLength(a) {
|
||||
a = BigInt(a);
|
||||
if (a === _ONE)
|
||||
return 1;
|
||||
let bits = 1;
|
||||
|
|
@ -111,12 +112,15 @@ export function gcd(a, b) {
|
|||
* 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|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 resolves to a boolean that is either true (a probably prime number) or false (definitely composite)
|
||||
*/
|
||||
export async function isProbablyPrime(w, iterations = 16) {
|
||||
if (typeof w === 'number') {
|
||||
w = BigInt(w);
|
||||
}
|
||||
if (!process.browser) { // Node.js
|
||||
if (_useWorkers) {
|
||||
const { Worker } = require('worker_threads');
|
||||
|
|
|
|||
Loading…
Reference in New Issue