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- var bn = require('bn.js');
- var brorand = require('brorand');
- function MillerRabin(rand) {
- this.rand = rand || new brorand.Rand();
- }
- module.exports = MillerRabin;
- 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;
- };
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