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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, 0 insertions, 263 deletions
diff --git a/node_modules/bn.js/test/red-test.js b/node_modules/bn.js/test/red-test.js deleted file mode 100644 index fc2498c93..000000000 --- a/node_modules/bn.js/test/red-test.js +++ /dev/null @@ -1,263 +0,0 @@ -/* 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); - }); -}); |