meteor-node-stubs
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Stub implementations of Node built-in modules, a la Browserify
358 lines (308 loc) • 12.1 kB
JavaScript
/* eslint-env node, mocha */
'use strict';
var assert = require('assert');
var BN = require('bn.js');
var elliptic = require('../');
describe('Curve', function() {
it('should work with example curve', function() {
var curve = new elliptic.curve.short({
p: '1d',
a: '4',
b: '14',
});
var p = curve.point('18', '16');
assert(p.validate());
assert(p.dbl().validate());
assert(p.dbl().add(p).validate());
assert(p.dbl().add(p.dbl()).validate());
assert(p.dbl().add(p.dbl()).eq(p.add(p).add(p).add(p)));
});
it('should dbl points on edwards curve using proj coordinates', function() {
var curve = new elliptic.curve.edwards({
p: new BN('97ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
'ffffffffffffffffffffffffffffffffff3f', 16, 'le'),
q: new BN('19973cfd137ee273272d101b28695e7ce1ee951ef221fbd5ffffffffff' +
'ffffffffffffffffffffffffffffffffffff0f', 16, 'le'),
r: '8',
a: '1',
c: '1',
// -67254 mod p
d: new BN('e1f8feffffffffffffffffffffffffffffffffffffffffffffffffff' +
'ffffffffffffffffffffffffffffffffffffff3f', 16, 'le'),
g: [
new BN('0396f77094ccc0eb985310e8bc7d519311846453b8ba232935640b2b0' +
'340f868ae208d6ee95bf0e59103b2ead08d6f19', 16, 'le'),
new BN('11', 16, 'le'),
],
});
var point = [
'21fd21b36cbdbe0d77ad8692c25d918774f5d3bc179c4cb0ae3c364bf1bea981d0' +
'2e9f97cc62f20acacf0c553887e5fb',
'29f994329799dba72aa12ceb06312300167b6e18fbed607c63709826c57292cf29' +
'f5bab4f5c99c739cf107a3833bb553',
];
var double = [
'0561c8722cf82b2f0d7c36bc72e34539dcbf181e8d98f5244480e79f5b51a4a541' +
'457016c9c0509d49078eb5909a1121',
'05b7812fae9d164ee9249c56a16e29a1ad2cdc6353227074dd96d59df363a0bcb5' +
'bc67d50b44843ea833156bdc0ac6a2',
];
var p = curve.pointFromJSON(point);
var d = curve.pointFromJSON(double);
assert(p.dbl().eq(d));
});
it('should be able to find a point given y coordinate for all edwards curves',
function() {
var curve = new elliptic.curve.edwards({
p: new BN('f7' +
'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff07',
16, 'le'),
q: new BN('71' +
'c966d15fd444893407d3dfc46579f7ffffffffffffffffffffffffffffff01',
16, 'le'),
r: '4',
a: '1',
// -1174 mod p
d: new BN('61' +
'fbffffffffffffffffffffffffffffffffffffffffffffffffffffffffff07',
16, 'le'),
c: '1',
});
var target = curve.point(
'05d040ddaa645bf27d2d2f302c5697231425185fd9a410f220ac5c5c7fbeb8a1',
'02f8ca771306cd23e929775177f2c213843a017a6487b2ec5f9b2a3808108ef2',
);
var point = curve.pointFromY('02' +
'f8ca771306cd23e929775177f2c213843a017a6487b2ec5f9b2a3808108ef2');
assert(point.eq(target));
});
it('should find an odd point given a y coordinate', function() {
var curve = new elliptic.curve.edwards({
p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',
a: '-1',
c: '1',
// -121665 * (121666^(-1)) (mod P)
d: '52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3',
n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',
gRed: false,
g: [
'216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a',
// 4/5
'6666666666666666666666666666666666666666666666666666666666666658',
],
});
var bytes = new Uint8Array([ 5, 69, 248, 173, 171, 254, 19, 253, 143, 140, 146, 174, 26, 128, 3, 52, 106, 55, 112, 245, 62, 127, 42, 93, 0, 81, 47, 177, 30, 25, 39, 70 ]);
var y = new BN(bytes, 16, 'le');
var point = curve.pointFromY(y, true);
var target = '2cd591ae3789fd62dc420a152002f79973a387eacecadc6a9a00c1a89488c15d';
assert.deepStrictEqual(point.getX().toString(16), target);
});
it('should work with secp112k1', function() {
var curve = new elliptic.curve.short({
p: 'db7c 2abf62e3 5e668076 bead208b',
a: 'db7c 2abf62e3 5e668076 bead2088',
b: '659e f8ba0439 16eede89 11702b22',
});
var p = curve.point(
'0948 7239995a 5ee76b55 f9c2f098',
'a89c e5af8724 c0a23e0e 0ff77500');
assert(p.validate());
assert(p.dbl().validate());
});
it('should work with secp256k1', function() {
var curve = new elliptic.curve.short({
p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe ' +
'fffffc2f',
a: '0',
b: '7',
n: 'ffffffff ffffffff ffffffff fffffffe ' +
'baaedce6 af48a03b bfd25e8c d0364141',
g: [
'79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',
'483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',
],
});
var p = curve.point(
'79be667e f9dcbbac 55a06295 ce870b07 029bfcdb 2dce28d9 59f2815b 16f81798',
'483ada77 26a3c465 5da4fbfc 0e1108a8 fd17b448 a6855419 9c47d08f fb10d4b8',
);
assert(p.validate());
assert(p.dbl().validate());
assert(p.toJ().dbl().toP().validate());
assert(p.mul(new BN('79be667e f9dcbbac 55a06295 ce870b07', 16)).validate());
var j = p.toJ();
assert(j.trpl().eq(j.dbl().add(j)));
// Endomorphism test
assert(curve.endo);
assert.equal(
curve.endo.beta.fromRed().toString(16),
'7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee');
assert.equal(
curve.endo.lambda.toString(16),
'5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72');
var k = new BN('1234567890123456789012345678901234', 16);
var split = curve._endoSplit(k);
var testK = split.k1.add(split.k2.mul(curve.endo.lambda)).umod(curve.n);
assert.equal(testK.toString(16), k.toString(16));
});
it('should compute this problematic secp256k1 multiplication', function() {
var curve = elliptic.curves.secp256k1.curve;
var g1 = curve.g; // precomputed g
assert(g1.precomputed);
var g2 = curve.point(g1.getX(), g1.getY()); // not precomputed g
assert(!g2.precomputed);
var a = new BN(
'6d1229a6b24c2e775c062870ad26bc261051e0198c67203167273c7c62538846', 16);
var p1 = g1.mul(a);
var p2 = g2.mul(a);
assert(p1.eq(p2));
});
it('should not use fixed NAF when k is too large', function() {
var curve = elliptic.curves.secp256k1.curve;
var g1 = curve.g; // precomputed g
assert(g1.precomputed);
var g2 = curve.point(g1.getX(), g1.getY()); // not precomputed g
assert(!g2.precomputed);
var a = new BN(
'6d1229a6b24c2e775c062870ad26bc26' +
'1051e0198c67203167273c7c6253884612345678',
16);
var p1 = g1.mul(a);
var p2 = g2.mul(a);
assert(p1.eq(p2));
});
it('should not fail on secp256k1 regression', function() {
var curve = elliptic.curves.secp256k1.curve;
var k1 = new BN(
'32efeba414cd0c830aed727749e816a01c471831536fd2fce28c56b54f5a3bb1', 16);
var k2 = new BN(
'5f2e49b5d64e53f9811545434706cde4de528af97bfd49fde1f6cf792ee37a8c', 16);
var p1 = curve.g.mul(k1);
var p2 = curve.g.mul(k2);
// 2 + 2 + 1 = 2 + 1 + 2
var two = p2.dbl();
var five = two.dbl().add(p2);
var three = two.add(p2);
var maybeFive = three.add(two);
assert(maybeFive.eq(five));
p1 = p1.mul(k2);
p2 = p2.mul(k1);
assert(p1.validate());
assert(p2.validate());
assert(p1.eq(p2));
});
it('should correctly double the affine point on secp256k1', function() {
var bad = {
x: '026a2073b1ef6fab47ace18e60e728a05180a82755bbcec9a0abc08ad9f7a3d4',
y: '9cd8cb48c3281596139f147c1364a3ede88d3f310fdb0eb98c924e599ca1b3c9',
z: 'd78587ad45e4102f48b54b5d85598296e069ce6085002e169c6bad78ddc6d9bd',
};
var good = {
x: 'e7789226739ac2eb3c7ccb2a9a910066beeed86cdb4e0f8a7fee8eeb29dc7016',
y: '4b76b191fd6d47d07828ea965e275b76d0e3e0196cd5056d38384fbb819f9fcb',
z: 'cbf8d99056618ba132d6145b904eee1ce566e0feedb9595139c45f84e90cfa7d',
};
var curve = elliptic.curves.secp256k1.curve;
bad = curve.jpoint(bad.x, bad.y, bad.z);
good = curve.jpoint(good.x, good.y, good.z);
// They are the same points
assert(bad.add(good.neg()).isInfinity());
// But doubling borks them out
assert(bad.dbl().add(good.dbl().neg()).isInfinity());
});
it('should store precomputed values correctly on negation', function() {
var curve = elliptic.curves.secp256k1.curve;
var p = curve.g.mul('2');
p.precompute();
var neg = p.neg(true);
var neg2 = neg.neg(true);
assert(p.eq(neg2));
});
it('should correctly handle scalar multiplication of zero', function() {
var curve = elliptic.curves.secp256k1.curve;
var p1 = curve.g.mul('0');
var p2 = p1.mul('2');
assert(p1.eq(p2));
});
});
describe('Point codec', function () {
function makeShortTest(definition) {
var curve = elliptic.curves.secp256k1.curve;
return function() {
var co = definition.coordinates;
var p = curve.point(co.x, co.y);
// Encodes as expected
assert.equal(p.encode('hex'), definition.encoded);
assert.equal(p.encodeCompressed('hex'), definition.compactEncoded);
// Decodes as expected
assert(curve.decodePoint(definition.encoded, 'hex').eq(p));
assert(curve.decodePoint(definition.compactEncoded, 'hex').eq(p));
assert(curve.decodePoint(definition.hybrid, 'hex').eq(p));
};
}
function makeMontTest(definition) {
var curve = elliptic.curves.curve25519.curve;
return function() {
var co = definition.coordinates;
var p = curve.point(co.x, co.z);
var encoded = p.encode('hex');
var decoded = curve.decodePoint(encoded, 'hex');
assert(decoded.eq(p));
assert.equal(encoded, definition.encoded);
};
}
var shortPointEvenY = {
coordinates: {
x: '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',
y: '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',
},
compactEncoded:
'02' +
'79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',
encoded:
'04' +
'79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798' +
'483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',
hybrid:
'06' +
'79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798' +
'483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',
};
var shortPointOddY = {
coordinates: {
x: 'fff97bd5755eeea420453a14355235d382f6472f8568a18b2f057a1460297556',
y: 'ae12777aacfbb620f3be96017f45c560de80f0f6518fe4a03c870c36b075f297',
},
compactEncoded:
'03' +
'fff97bd5755eeea420453a14355235d382f6472f8568a18b2f057a1460297556',
encoded:
'04' +
'fff97bd5755eeea420453a14355235d382f6472f8568a18b2f057a1460297556' +
'ae12777aacfbb620f3be96017f45c560de80f0f6518fe4a03c870c36b075f297',
hybrid:
'07' +
'fff97bd5755eeea420453a14355235d382f6472f8568a18b2f057a1460297556' +
'ae12777aacfbb620f3be96017f45c560de80f0f6518fe4a03c870c36b075f297',
};
it('should throw when trying to decode random bytes', function() {
assert.throws(function() {
elliptic.curves.secp256k1.curve.decodePoint(
'05' +
'79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798');
});
});
it('should be able to encode/decode a short curve point with even Y',
makeShortTest(shortPointEvenY));
it('should be able to encode/decode a short curve point with odd Y',
makeShortTest(shortPointOddY));
it('should be able to encode/decode a mont curve point', makeMontTest({
coordinates: {
// curve25519.curve.g.mul(new BN('6')).getX().toString(16, 2)
x: '26954ccdc99ebf34f8f1dde5e6bb080685fec73640494c28f9fe0bfa8c794531',
z: '1',
},
encoded:
'26954ccdc99ebf34f8f1dde5e6bb080685fec73640494c28f9fe0bfa8c794531',
}));
});