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Diffstat (limited to 'node_modules/bn.js/test/red-test.js')
-rw-r--r-- | node_modules/bn.js/test/red-test.js | 263 |
1 files changed, 263 insertions, 0 deletions
diff --git a/node_modules/bn.js/test/red-test.js b/node_modules/bn.js/test/red-test.js new file mode 100644 index 000000000..fc2498c93 --- /dev/null +++ b/node_modules/bn.js/test/red-test.js @@ -0,0 +1,263 @@ +/* global describe, it */ + +var assert = require('assert'); +var BN = require('../').BN; + +describe('BN.js/Reduction context', function () { + function testMethod (name, fn) { + describe(name + ' method', function () { + it('should support add, iadd, sub, isub operations', function () { + var p = new BN(257); + var m = fn(p); + var a = new BN(123).toRed(m); + var b = new BN(231).toRed(m); + + assert.equal(a.redAdd(b).fromRed().toString(10), '97'); + assert.equal(a.redSub(b).fromRed().toString(10), '149'); + assert.equal(b.redSub(a).fromRed().toString(10), '108'); + + assert.equal(a.clone().redIAdd(b).fromRed().toString(10), '97'); + assert.equal(a.clone().redISub(b).fromRed().toString(10), '149'); + assert.equal(b.clone().redISub(a).fromRed().toString(10), '108'); + }); + + it('should support pow and mul operations', function () { + var p192 = new BN( + 'fffffffffffffffffffffffffffffffeffffffffffffffff', + 16); + var m = fn(p192); + var a = new BN(123); + var b = new BN(231); + var c = a.toRed(m).redMul(b.toRed(m)).fromRed(); + assert(c.cmp(a.mul(b).mod(p192)) === 0); + + assert.equal(a.toRed(m).redPow(new BN(3)).fromRed() + .cmp(a.sqr().mul(a)), 0); + assert.equal(a.toRed(m).redPow(new BN(4)).fromRed() + .cmp(a.sqr().sqr()), 0); + assert.equal(a.toRed(m).redPow(new BN(8)).fromRed() + .cmp(a.sqr().sqr().sqr()), 0); + assert.equal(a.toRed(m).redPow(new BN(9)).fromRed() + .cmp(a.sqr().sqr().sqr().mul(a)), 0); + assert.equal(a.toRed(m).redPow(new BN(17)).fromRed() + .cmp(a.sqr().sqr().sqr().sqr().mul(a)), 0); + assert.equal( + a.toRed(m).redPow(new BN('deadbeefabbadead', 16)).fromRed() + .toString(16), + '3aa0e7e304e320b68ef61592bcb00341866d6fa66e11a4d6'); + }); + + it('should sqrtm numbers', function () { + var p = new BN(263); + var m = fn(p); + var q = new BN(11).toRed(m); + + var qr = q.redSqrt(); + assert.equal(qr.redSqr().cmp(q), 0); + + qr = q.redSqrt(); + assert.equal(qr.redSqr().cmp(q), 0); + + p = new BN( + 'fffffffffffffffffffffffffffffffeffffffffffffffff', + 16); + m = fn(p); + + q = new BN(13).toRed(m); + qr = q.redSqrt(true, p); + assert.equal(qr.redSqr().cmp(q), 0); + + qr = q.redSqrt(false, p); + assert.equal(qr.redSqr().cmp(q), 0); + + // Tonelli-shanks + p = new BN(13); + m = fn(p); + q = new BN(10).toRed(m); + assert.equal(q.redSqrt().fromRed().toString(10), '7'); + }); + + it('should invm numbers', function () { + var p = new BN(257); + var m = fn(p); + var a = new BN(3).toRed(m); + var b = a.redInvm(); + assert.equal(a.redMul(b).fromRed().toString(16), '1'); + }); + + it('should invm numbers (regression)', function () { + var p = new BN( + 'ffffffff00000001000000000000000000000000ffffffffffffffffffffffff', + 16); + var a = new BN( + 'e1d969b8192fbac73ea5b7921896d6a2263d4d4077bb8e5055361d1f7f8163f3', + 16); + + var m = fn(p); + a = a.toRed(m); + + assert.equal(a.redInvm().fromRed().negative, 0); + }); + + it('should imul numbers', function () { + var p = new BN( + 'fffffffffffffffffffffffffffffffeffffffffffffffff', + 16); + var m = fn(p); + + var a = new BN('deadbeefabbadead', 16); + var b = new BN('abbadeadbeefdead', 16); + var c = a.mul(b).mod(p); + + assert.equal(a.toRed(m).redIMul(b.toRed(m)).fromRed().toString(16), + c.toString(16)); + }); + + it('should pow(base, 0) == 1', function () { + var base = new BN(256).toRed(BN.red('k256')); + var exponent = new BN(0); + var result = base.redPow(exponent); + assert.equal(result.toString(), '1'); + }); + + it('should shl numbers', function () { + var base = new BN(256).toRed(BN.red('k256')); + var result = base.redShl(1); + assert.equal(result.toString(), '512'); + }); + + it('should reduce when converting to red', function () { + var p = new BN(257); + var m = fn(p); + var a = new BN(5).toRed(m); + + assert.doesNotThrow(function () { + var b = a.redISub(new BN(512).toRed(m)); + b.redISub(new BN(512).toRed(m)); + }); + }); + + it('redNeg and zero value', function () { + var a = new BN(0).toRed(BN.red('k256')).redNeg(); + assert.equal(a.isZero(), true); + }); + + it('should not allow modulus <= 1', function () { + assert.throws(function () { + BN.red(new BN(0)); + }, /^Error: modulus must be greater than 1$/); + + assert.throws(function () { + BN.red(new BN(1)); + }, /^Error: modulus must be greater than 1$/); + + assert.doesNotThrow(function () { + BN.red(new BN(2)); + }); + }); + }); + } + + testMethod('Plain', BN.red); + testMethod('Montgomery', BN.mont); + + describe('Pseudo-Mersenne Primes', function () { + it('should reduce numbers mod k256', function () { + var p = BN._prime('k256'); + + assert.equal(p.ireduce(new BN(0xdead)).toString(16), 'dead'); + assert.equal(p.ireduce(new BN('deadbeef', 16)).toString(16), 'deadbeef'); + + var num = new BN('fedcba9876543210fedcba9876543210dead' + + 'fedcba9876543210fedcba9876543210dead', + 16); + var exp = num.mod(p.p).toString(16); + assert.equal(p.ireduce(num).toString(16), exp); + + var regr = new BN('f7e46df64c1815962bf7bc9c56128798' + + '3f4fcef9cb1979573163b477eab93959' + + '335dfb29ef07a4d835d22aa3b6797760' + + '70a8b8f59ba73d56d01a79af9', + 16); + exp = regr.mod(p.p).toString(16); + + assert.equal(p.ireduce(regr).toString(16), exp); + }); + + it('should not fail to invm number mod k256', function () { + var regr2 = new BN( + '6c150c4aa9a8cf1934485d40674d4a7cd494675537bda36d49405c5d2c6f496f', 16); + regr2 = regr2.toRed(BN.red('k256')); + assert.equal(regr2.redInvm().redMul(regr2).fromRed().cmpn(1), 0); + }); + + it('should correctly square the number', function () { + var p = BN._prime('k256').p; + var red = BN.red('k256'); + + var n = new BN('9cd8cb48c3281596139f147c1364a3ed' + + 'e88d3f310fdb0eb98c924e599ca1b3c9', + 16); + var expected = n.sqr().mod(p); + var actual = n.toRed(red).redSqr().fromRed(); + + assert.equal(actual.toString(16), expected.toString(16)); + }); + + it('redISqr should return right result', function () { + var n = new BN('30f28939', 16); + var actual = n.toRed(BN.red('k256')).redISqr().fromRed(); + assert.equal(actual.toString(16), '95bd93d19520eb1'); + }); + }); + + it('should avoid 4.1.0 regresion', function () { + function bits2int (obits, q) { + var bits = new BN(obits); + var shift = (obits.length << 3) - q.bitLength(); + if (shift > 0) { + bits.ishrn(shift); + } + return bits; + } + var t = new Buffer('aff1651e4cd6036d57aa8b2a05ccf1a9d5a40166340ecbbdc55' + + 'be10b568aa0aa3d05ce9a2fcec9df8ed018e29683c6051cb83e' + + '46ce31ba4edb045356a8d0d80b', 'hex'); + var g = new BN('5c7ff6b06f8f143fe8288433493e4769c4d988ace5be25a0e24809670' + + '716c613d7b0cee6932f8faa7c44d2cb24523da53fbe4f6ec3595892d1' + + 'aa58c4328a06c46a15662e7eaa703a1decf8bbb2d05dbe2eb956c142a' + + '338661d10461c0d135472085057f3494309ffa73c611f78b32adbb574' + + '0c361c9f35be90997db2014e2ef5aa61782f52abeb8bd6432c4dd097b' + + 'c5423b285dafb60dc364e8161f4a2a35aca3a10b1c4d203cc76a470a3' + + '3afdcbdd92959859abd8b56e1725252d78eac66e71ba9ae3f1dd24871' + + '99874393cd4d832186800654760e1e34c09e4d155179f9ec0dc4473f9' + + '96bdce6eed1cabed8b6f116f7ad9cf505df0f998e34ab27514b0ffe7', + 16); + var p = new BN('9db6fb5951b66bb6fe1e140f1d2ce5502374161fd6538df1648218642' + + 'f0b5c48c8f7a41aadfa187324b87674fa1822b00f1ecf8136943d7c55' + + '757264e5a1a44ffe012e9936e00c1d3e9310b01c7d179805d3058b2a9' + + 'f4bb6f9716bfe6117c6b5b3cc4d9be341104ad4a80ad6c94e005f4b99' + + '3e14f091eb51743bf33050c38de235567e1b34c3d6a5c0ceaa1a0f368' + + '213c3d19843d0b4b09dcb9fc72d39c8de41f1bf14d4bb4563ca283716' + + '21cad3324b6a2d392145bebfac748805236f5ca2fe92b871cd8f9c36d' + + '3292b5509ca8caa77a2adfc7bfd77dda6f71125a7456fea153e433256' + + 'a2261c6a06ed3693797e7995fad5aabbcfbe3eda2741e375404ae25b', + 16); + var q = new BN('f2c3119374ce76c9356990b465374a17f23f9ed35089bd969f61c6dde' + + '9998c1f', 16); + var k = bits2int(t, q); + var expectedR = '89ec4bb1400eccff8e7d9aa515cd1de7803f2daff09693ee7fd1353e' + + '90a68307'; + var r = g.toRed(BN.mont(p)).redPow(k).fromRed().mod(q); + assert.equal(r.toString(16), expectedR); + }); + + it('K256.split for 512 bits number should return equal numbers', function () { + var red = BN.red('k256'); + var input = new BN(1).iushln(512).subn(1); + assert.equal(input.bitLength(), 512); + var output = new BN(0); + red.prime.split(input, output); + assert.equal(input.cmp(output), 0); + }); +}); |