534 lines
15 KiB
JavaScript
534 lines
15 KiB
JavaScript
function n(n){return n>=0?n:-n}function t(n){if("number"==typeof n&&(n=BigInt(n)),1n===n)return 1;let t=1;do{t++;}while((n>>=1n)>1n);return t}function r(n,t){if("number"==typeof n&&(n=BigInt(n)),"number"==typeof t&&(t=BigInt(t)),n<=0n||t<=0n)throw new RangeError("a and b MUST be > 0");let r=0n,e=1n,o=1n,i=0n;for(;0n!==n;){const u=t/n,f=t%n,g=r-o*u,c=e-i*u;t=n,n=f,r=o,e=i,o=g,i=c;}return {g:t,x:r,y:e}}function e(n,t){if("number"==typeof n&&(n=BigInt(n)),"number"==typeof t&&(t=BigInt(t)),t<=0n)throw new RangeError("n must be > 0");const r=n%t;return r<0n?r+t:r}function o(n,t){const o=r(e(n,t),t);if(1n!==o.g)throw new RangeError(`${n.toString()} does not have inverse modulo ${t.toString()}`);return e(o.x,t)}function i(n,t,r){if(n.length!==t.length)throw new RangeError("The remainders and modulos arrays should have the same length");const i=r??t.reduce(((n,t)=>n*t),1n);return t.reduce(((t,r,u)=>{const f=i/r;return e(t+f*o(f,r)%i*n[u]%i,i)}),0n)}function u(t,r){let e="number"==typeof t?BigInt(n(t)):n(t),o="number"==typeof r?BigInt(n(r)):n(r);if(0n===e)return o;if(0n===o)return e;let i=0n;for(;0n===(1n&(e|o));)e>>=1n,o>>=1n,i++;for(;0n===(1n&e);)e>>=1n;do{for(;0n===(1n&o);)o>>=1n;if(e>o){const n=e;e=o,o=n;}o-=e;}while(0n!==o);return e<<i}function f(t,r){return "number"==typeof t&&(t=BigInt(t)),"number"==typeof r&&(r=BigInt(r)),0n===t&&0n===r?BigInt(0):n(t/u(t,r)*r)}function g(n,t){return n>=t?n:t}function c(n,t){return n>=t?t:n}function a(n){return n.map((n=>n[0]**(n[1]-1n)*(n[0]-1n))).reduce(((n,t)=>t*n),1n)}function s(t,r,u,f){if("number"==typeof t&&(t=BigInt(t)),"number"==typeof r&&(r=BigInt(r)),"number"==typeof u&&(u=BigInt(u)),u<=0n)throw new RangeError("n must be > 0");if(1n===u)return 0n;if(t=e(t,u),r<0n)return o(s(t,n(r),u,f),u);if(void 0!==f)return function(n,t,r,e){const o=e.map((n=>n[0]**n[1])),u=e.map((n=>a([n]))),f=u.map(((r,e)=>s(n,t%r,o[e])));return i(f,o,r)}(t,r,u,function(n){const t={};return n.forEach((n=>{if("bigint"==typeof n||"number"==typeof n){const r=String(n);void 0===t[r]?t[r]={p:BigInt(n),k:1n}:t[r].k+=1n;}else {const r=String(n[0]);void 0===t[r]?t[r]={p:BigInt(n[0]),k:BigInt(n[1])}:t[r].k+=BigInt(n[1]);}})),Object.values(t).map((n=>[n.p,n.k]))}(f));let g=1n;for(;r>0;)r%2n===1n&&(g=g*t%u),r/=2n,t=t**2n%u;return g}
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function fromBuffer(buf) {
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let ret = 0n;
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for (const i of buf.values()) {
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const bi = BigInt(i);
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ret = (ret << 8n) + bi;
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}
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return ret;
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}
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function randBytes(byteLength, forceLength = false) {
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if (byteLength < 1)
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throw new RangeError('byteLength MUST be > 0');
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return new Promise(function (resolve, reject) {
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{
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const buf = new Uint8Array(byteLength);
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if (byteLength <= 65536) {
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self.crypto.getRandomValues(buf);
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}
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else {
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for (let i = 0; i < Math.ceil(byteLength / 65536); i++) {
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const begin = i * 65536;
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const end = ((begin + 65535) < byteLength) ? begin + 65535 : byteLength - 1;
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self.crypto.getRandomValues(buf.subarray(begin, end));
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}
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}
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if (forceLength)
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buf[0] = buf[0] | 128;
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resolve(buf);
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}
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});
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}
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function randBytesSync(byteLength, forceLength = false) {
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if (byteLength < 1)
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throw new RangeError('byteLength MUST be > 0');
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{
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const buf = new Uint8Array(byteLength);
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if (byteLength <= 65536) {
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self.crypto.getRandomValues(buf);
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}
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else {
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for (let i = 0; i < Math.ceil(byteLength / 65536); i++) {
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const begin = i * 65536;
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const end = ((begin + 65535) < byteLength) ? begin + 65535 : byteLength - 1;
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self.crypto.getRandomValues(buf.subarray(begin, end));
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}
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}
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if (forceLength)
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buf[0] = buf[0] | 128;
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return buf;
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}
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}
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function randBits(bitLength, forceLength = false) {
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if (bitLength < 1)
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throw new RangeError('bitLength MUST be > 0');
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const byteLength = Math.ceil(bitLength / 8);
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const bitLengthMod8 = bitLength % 8;
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return new Promise((resolve, reject) => {
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randBytes(byteLength, false).then(function (rndBytes) {
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if (bitLengthMod8 !== 0) {
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rndBytes[0] = rndBytes[0] & (2 ** bitLengthMod8 - 1);
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}
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if (forceLength) {
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const mask = (bitLengthMod8 !== 0) ? 2 ** (bitLengthMod8 - 1) : 128;
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rndBytes[0] = rndBytes[0] | mask;
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}
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resolve(rndBytes);
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});
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});
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}
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function randBitsSync(bitLength, forceLength = false) {
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if (bitLength < 1)
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throw new RangeError('bitLength MUST be > 0');
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const byteLength = Math.ceil(bitLength / 8);
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const rndBytes = randBytesSync(byteLength, false);
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const bitLengthMod8 = bitLength % 8;
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if (bitLengthMod8 !== 0) {
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rndBytes[0] = rndBytes[0] & (2 ** bitLengthMod8 - 1);
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}
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if (forceLength) {
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const mask = (bitLengthMod8 !== 0) ? 2 ** (bitLengthMod8 - 1) : 128;
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rndBytes[0] = rndBytes[0] | mask;
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}
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return rndBytes;
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}
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function randBetween(max, min = 1n) {
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if (max <= min)
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throw new RangeError('Arguments MUST be: max > min');
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const interval = max - min;
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const bitLen = t(interval);
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let rnd;
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do {
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const buf = randBitsSync(bitLen);
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rnd = fromBuffer(buf);
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} while (rnd > interval);
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return rnd + min;
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}
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function _workerUrl(workerCode) {
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workerCode = `(() => {${workerCode}})()`;
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const _blob = new Blob([workerCode], { type: 'text/javascript' });
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return window.URL.createObjectURL(_blob);
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}
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let _useWorkers = false;
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{
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if (self.Worker !== undefined)
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_useWorkers = true;
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}
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function isProbablyPrime(w, iterations = 16, disableWorkers = false) {
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if (typeof w === 'number') {
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w = BigInt(w);
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}
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if (w < 0n)
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throw RangeError('w MUST be >= 0');
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{
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return new Promise((resolve, reject) => {
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const worker = new Worker(_isProbablyPrimeWorkerUrl());
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worker.onmessage = (event) => {
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if (event?.data?._bcu?.isPrime !== undefined) {
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worker.terminate();
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resolve(event.data._bcu.isPrime);
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}
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};
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worker.onmessageerror = (event) => {
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reject(event);
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};
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const msg = {
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_bcu: {
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rnd: w,
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iterations,
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id: 0
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}
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};
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worker.postMessage(msg);
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});
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}
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}
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function _isProbablyPrime(w, iterations) {
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if (w === 2n)
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return true;
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else if ((w & 1n) === 0n || w === 1n)
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return false;
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const firstPrimes = [
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3n,
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5n,
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7n,
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11n,
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13n,
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17n,
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19n,
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23n,
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29n,
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31n,
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37n,
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41n,
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43n,
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47n,
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53n,
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59n,
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61n,
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67n,
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71n,
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73n,
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79n,
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83n,
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89n,
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97n,
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101n,
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103n,
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107n,
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109n,
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113n,
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127n,
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131n,
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137n,
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139n,
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149n,
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151n,
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157n,
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163n,
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167n,
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173n,
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179n,
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181n,
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191n,
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193n,
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197n,
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199n,
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211n,
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223n,
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227n,
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229n,
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233n,
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239n,
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241n,
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251n,
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257n,
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263n,
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269n,
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271n,
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277n,
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281n,
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283n,
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293n,
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307n,
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311n,
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313n,
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317n,
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331n,
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337n,
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347n,
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349n,
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353n,
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359n,
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367n,
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373n,
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379n,
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383n,
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389n,
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397n,
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401n,
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409n,
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419n,
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421n,
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431n,
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433n,
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439n,
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443n,
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449n,
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457n,
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461n,
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463n,
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467n,
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479n,
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487n,
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491n,
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499n,
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503n,
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509n,
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521n,
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523n,
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541n,
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547n,
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557n,
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563n,
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569n,
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571n,
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577n,
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587n,
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593n,
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599n,
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601n,
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607n,
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613n,
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617n,
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619n,
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631n,
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641n,
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643n,
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647n,
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653n,
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659n,
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661n,
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673n,
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677n,
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683n,
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691n,
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701n,
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709n,
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719n,
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727n,
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733n,
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739n,
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743n,
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751n,
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757n,
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761n,
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769n,
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773n,
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787n,
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797n,
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809n,
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811n,
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821n,
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823n,
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827n,
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829n,
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839n,
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853n,
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857n,
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859n,
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863n,
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877n,
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881n,
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883n,
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887n,
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907n,
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911n,
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919n,
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929n,
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937n,
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941n,
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947n,
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953n,
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967n,
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971n,
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977n,
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983n,
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991n,
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997n,
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1009n,
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1013n,
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1019n,
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1021n,
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1031n,
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1033n,
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1039n,
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1049n,
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1051n,
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1061n,
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1063n,
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1069n,
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1087n,
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1091n,
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1093n,
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1097n,
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1103n,
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1109n,
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1117n,
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1123n,
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1129n,
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1151n,
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1153n,
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1163n,
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1171n,
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1181n,
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1187n,
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1193n,
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1201n,
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1213n,
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1217n,
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1223n,
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1229n,
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1231n,
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1237n,
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1249n,
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1259n,
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1277n,
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1279n,
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1283n,
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1289n,
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1291n,
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1297n,
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1301n,
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1303n,
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1307n,
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1319n,
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1321n,
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1327n,
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1361n,
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1367n,
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1373n,
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1381n,
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1399n,
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1409n,
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1423n,
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1427n,
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1429n,
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1433n,
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1439n,
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1447n,
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1451n,
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1453n,
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1459n,
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1471n,
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1481n,
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1483n,
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1487n,
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1489n,
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1493n,
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1499n,
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1511n,
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1523n,
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1531n,
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1543n,
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1549n,
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1553n,
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1559n,
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1567n,
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1571n,
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1579n,
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1583n,
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1597n
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];
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for (let i = 0; i < firstPrimes.length && (firstPrimes[i] <= w); i++) {
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const p = firstPrimes[i];
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if (w === p)
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return true;
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else if (w % p === 0n)
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return false;
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}
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let a = 0n;
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const d = w - 1n;
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let aux = d;
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while (aux % 2n === 0n) {
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aux /= 2n;
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++a;
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}
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const m = d / (2n ** a);
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do {
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const b = randBetween(d, 2n);
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let z = s(b, m, w);
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if (z === 1n || z === d)
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continue;
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let j = 1;
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while (j < a) {
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z = s(z, 2n, w);
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if (z === d)
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break;
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if (z === 1n)
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return false;
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j++;
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}
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if (z !== d)
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return false;
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} while (--iterations !== 0);
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return true;
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}
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function _isProbablyPrimeWorkerUrl() {
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let workerCode = `
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'use strict';
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const ${r.name} = ${r.toString()};
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const ${o.name} = ${o.toString()};
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const ${s.name} = ${s.toString()};
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const ${e.name} = ${e.toString()};
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const ${randBitsSync.name} = ${randBitsSync.toString()};
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const ${randBytesSync.name} = ${randBytesSync.toString()};
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const ${randBetween.name} = ${randBetween.toString()};
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const ${isProbablyPrime.name} = ${_isProbablyPrime.toString()};
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${t.toString()};
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${fromBuffer.toString()};`;
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workerCode += `
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onmessage = async function(msg) {
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if (msg !== undefined && msg.data !== undefined && msg.data._bcu !== undefined && msg.data._bcu.id !== undefined && msg.data._bcu.iterations !== undefined && msg.data._bcu.rnd !== undefined) {
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const msgToParent = {
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_bcu: {
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isPrime: await ${isProbablyPrime.name}(msg.data._bcu.rnd, msg.data._bcu.iterations),
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value: msg.data._bcu.rnd,
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id: msg.data._bcu.id
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}
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};
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postMessage(msgToParent);
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}
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}`;
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return _workerUrl(workerCode);
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}
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function prime(bitLength, iterations = 16) {
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if (bitLength < 1)
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throw new RangeError('bitLength MUST be > 0');
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if (!_useWorkers) {
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let rnd = 0n;
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do {
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rnd = fromBuffer(randBitsSync(bitLength, true));
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} while (!_isProbablyPrime(rnd, iterations));
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return new Promise((resolve) => { resolve(rnd); });
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}
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return new Promise((resolve, reject) => {
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const workerList = [];
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const _onmessage = (msg, newWorker) => {
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if (msg._bcu.isPrime) {
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for (let j = 0; j < workerList.length; j++) {
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workerList[j].terminate();
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}
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while (workerList.length > 0) {
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workerList.pop();
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}
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resolve(msg._bcu.value);
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}
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else {
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const buf = randBitsSync(bitLength, true);
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const rnd = fromBuffer(buf);
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try {
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const msgToWorker = {
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_bcu: {
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rnd,
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iterations,
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id: msg._bcu.id
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}
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};
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newWorker.postMessage(msgToWorker);
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}
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catch (error) {
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}
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}
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};
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{
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const workerURL = _isProbablyPrimeWorkerUrl();
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for (let i = 0; i < self.navigator.hardwareConcurrency - 1; i++) {
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const newWorker = new Worker(workerURL);
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newWorker.onmessage = (event) => _onmessage(event.data, newWorker);
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workerList.push(newWorker);
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}
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}
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for (let i = 0; i < workerList.length; i++) {
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randBits(bitLength, true).then(function (buf) {
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const rnd = fromBuffer(buf);
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workerList[i].postMessage({
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_bcu: {
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rnd,
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iterations,
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|
id: i
|
|
}
|
|
});
|
|
}).catch(reject);
|
|
}
|
|
});
|
|
}
|
|
function primeSync(bitLength, iterations = 16) {
|
|
if (bitLength < 1)
|
|
throw new RangeError('bitLength MUST be > 0');
|
|
let rnd = 0n;
|
|
do {
|
|
rnd = fromBuffer(randBitsSync(bitLength, true));
|
|
} while (!_isProbablyPrime(rnd, iterations));
|
|
return rnd;
|
|
}
|
|
|
|
export { n as abs, t as bitLength, r as eGcd, u as gcd, isProbablyPrime, f as lcm, g as max, c as min, o as modInv, s as modPow, prime, primeSync, randBetween, randBits, randBitsSync, randBytes, randBytesSync, e as toZn };
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