import bn from "../bn.js"; import brorand from "../brorand"; function MillerRabin(rand) { this.rand = rand || new brorand.Rand(); } MillerRabin.create = function create(rand) { return new MillerRabin(rand); }; MillerRabin.prototype._randbelow = function _randbelow(n) { var len = n.bitLength(); var min_bytes = Math.ceil(len / 8); // Generage random bytes until a number less than n is found. // This ensures that 0..n-1 have an equal probability of being selected. do var a = new bn(this.rand.generate(min_bytes)); while (a.cmp(n) >= 0); return a; }; MillerRabin.prototype._randrange = function _randrange(start, stop) { // Generate a random number greater than or equal to start and less than stop. var size = stop.sub(start); return start.add(this._randbelow(size)); }; MillerRabin.prototype.test = function test(n, k, cb) { var len = n.bitLength(); var red = bn.mont(n); var rone = new bn(1).toRed(red); if (!k) k = Math.max(1, (len / 48) | 0); // Find d and s, (n - 1) = (2 ^ s) * d; var n1 = n.subn(1); for (var s = 0; !n1.testn(s); s++) { } var d = n.shrn(s); var rn1 = n1.toRed(red); var prime = true; for (; k > 0; k--) { var a = this._randrange(new bn(2), n1); if (cb) cb(a); var x = a.toRed(red).redPow(d); if (x.cmp(rone) === 0 || x.cmp(rn1) === 0) continue; for (var i = 1; i < s; i++) { x = x.redSqr(); if (x.cmp(rone) === 0) return false; if (x.cmp(rn1) === 0) break; } if (i === s) return false; } return prime; }; MillerRabin.prototype.getDivisor = function getDivisor(n, k) { var len = n.bitLength(); var red = bn.mont(n); var rone = new bn(1).toRed(red); if (!k) k = Math.max(1, (len / 48) | 0); // Find d and s, (n - 1) = (2 ^ s) * d; var n1 = n.subn(1); for (var s = 0; !n1.testn(s); s++) { } var d = n.shrn(s); var rn1 = n1.toRed(red); for (; k > 0; k--) { var a = this._randrange(new bn(2), n1); var g = n.gcd(a); if (g.cmpn(1) !== 0) return g; var x = a.toRed(red).redPow(d); if (x.cmp(rone) === 0 || x.cmp(rn1) === 0) continue; for (var i = 1; i < s; i++) { x = x.redSqr(); if (x.cmp(rone) === 0) return x.fromRed().subn(1).gcd(n); if (x.cmp(rn1) === 0) break; } if (i === s) { x = x.redSqr(); return x.fromRed().subn(1).gcd(n); } } return false; }; export default MillerRabin;