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Comparing version 0.1.0 to 0.2.0

2.js
dist/.gitkeep
lib/elliptic/ecdsa.js
lib/elliptic/hash.js
lib/elliptic/hmac-drbg.js
lib/elliptic/hmac.js
lib/elliptic/rand.js
lib/elliptic/utils.js
Makefile
test/ecdsa-test.js
test/hash-test.js
test/hmac-drbg-test.js
test/hmac-test.js
v8.log

54

1.js

@@ -0,21 +1,41 @@

var assert = require('assert');
var elliptic = require('./');
var curve = new elliptic.curve({
p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe ' +
'fffffc2f',
a: '0',
b: '7'
});
console.time('curve load');
var curve = elliptic.nist.secp256k1;
assert(curve);
console.timeEnd('curve load');
var p = curve.point(
'79be667e f9dcbbac 55a06295 ce870b07 029bfcdb 2dce28d9 59f2815b 16f81798',
'483ada77 26a3c465 5da4fbfc 0e1108a8 fd17b448 a6855419 9c47d08f fb10d4b8'
);
p.precompute(256);
require('fs').writeFileSync('/tmp/1.json', JSON.stringify(p));
var ecdsa = new elliptic.ecdsa(curve);
console.time('gen key');
var keys = ecdsa.genKeyPair();
console.timeEnd('gen key');
console.log(keys);
var msg = new elliptic.bn('deadbeef', 16);
console.time();
for (var i = 0; i < 1000; i++)
p = p.dbl();
console.timeEnd();
console.log(p.validate());
console.time('validate');
var v = ecdsa.validateKey(keys.pub);
assert(v.result, v.reason);
console.timeEnd('validate');
// Sign and verify
console.time('sign');
var signature = ecdsa.sign(msg, keys.priv);
console.timeEnd('sign');
console.time('verify');
assert(ecdsa.verify(msg, signature, keys.pub));
console.timeEnd('verify');
// Wrong public key
console.time('get key 2');
var keys = ecdsa.genKeyPair();
console.timeEnd('get key 2');
console.time('verify 2');
assert(!ecdsa.verify(msg, signature, keys.pub));
console.timeEnd('verify 2');
// Just a benchmark
console.time('verify 3');
for (var i = 0; i < 80; i++)
assert(!ecdsa.verify(msg, signature, keys.pub));
console.timeEnd('verify 3');

7

lib/elliptic.js
var elliptic = exports;
elliptic.utils = require('./elliptic/utils');
elliptic.bn = require('./elliptic/bn');
elliptic.rand = require('./elliptic/rand');
elliptic.hash = require('./elliptic/hash');
elliptic.hmac = require('./elliptic/hmac');
elliptic.hmacDRBG = require('./elliptic/hmac-drbg');
elliptic.curve = require('./elliptic/curve');
elliptic.nist = require('./elliptic/nist');
elliptic.ecdsa = require('./elliptic/ecdsa');

463

lib/elliptic/bn.js
var assert = require('assert');
var elliptic = require('../elliptic');
var utils = elliptic.utils;

@@ -13,8 +15,12 @@ function BN(number, base) {

this.length = 0;
// Montgomery context
this.mont = null;
if (number !== null)
this.init(number || 0, base || 10);
this._init(number || 0, base || 10);
}
module.exports = BN;
BN.prototype.init = function init(number, base) {
BN.prototype._init = function init(number, base) {
if (typeof number === 'number') {

@@ -25,5 +31,25 @@ if (number < 0) {

}
this.words = [ number & 0xffff ];
this.words = [ number & 0xffffff ];
this.length = 1;
return;
} else if (typeof number === 'object') {
// Perhaps a Uint8Array
assert(typeof number.length === 'number');
this.length = Math.ceil(number.length / 3);
this.words = new Array(this.length);
if (base === 'little' || base === 'le') {
for (var i = 0; i < this.length; i++) {
this.words[this.length - i - 1] = number[i * 3 + 2] |
(number[i * 3 + 1] << 8) |
(number[i * 3] << 16);
}
} else {
for (var i = 0; i < this.length; i++) {
this.words[i] = number[i * 3] |
(number[i * 3 + 1] << 8) |
(number[i * 3 + 2] << 16);
}
}
return;
}

@@ -59,4 +85,4 @@ assert(base <= 16);

if (q > 0xfff) {
assert(q <= 0xffff);
if (q > 0xfffff) {
assert(q <= 0xffffff);
if (!bigQ)

@@ -84,2 +110,3 @@ bigQ = new BN(q);

dest.sign = this.sign;
dest.mont = this.mont;
};

@@ -93,5 +120,6 @@

// Remove leading `0` from `this`
BN.prototype.strip = function strip() {
while (this.words.length > 1 && this.words[this.words.length - 1] === 0)
this.words.pop();
this.words.length--;
this.length = this.words.length;

@@ -104,12 +132,5 @@ // -0 = 0

function zero4(word) {
if (word.length === 3)
return '0' + word;
else if (word.length === 2)
return '00' + word;
else if (word.length === 1)
return '000' + word;
else
return word;
}
BN.prototype.inspect = function inspect() {
return (this.mont ? '<BN-M: ' : '<BN: ') + this.toString(16) + '>';
};

@@ -123,3 +144,3 @@ BN.prototype.toString = function toString(base) {

if (i !== this.length - 1)
out += zero4(word);
out += utils.zero6(word);
else

@@ -134,7 +155,7 @@ out += word;

while (c.cmp(0) !== 0) {
var r = c.mod(10000);
c = c.div(10000);
var r = c.mod(1000000);
c = c.div(1000000);
assert.equal(r.length, 1);
if (c.cmp(0) !== 0)
out = zero4(r.words[0] + '') + out;
out = utils.zero6(r.words[0] + '') + out;
else

@@ -157,2 +178,39 @@ out = r.words[0] + out;

BN.prototype.toArray = function toArray() {
this.strip();
var res = new Array(Math.ceil(this.bitLength() / 8));
res[0] = 0;
var q = this.clone();
for (var i = 0; q.cmp(0) !== 0; i++) {
res[i] = q.andl(0xff);
q.ishr(8);
}
return res;
};
function genCountBits(bits) {
var arr = [];
for (var i = bits - 1; i >= 0; i--) {
var bit = '0x' + (1 << i).toString(16);
arr.push('(w & ' + bit + ') === ' + bit + ' ? ' + (i + 1));
}
return new Function('w', 'return ' + arr.join(':\n') + ':\n0;');
};
BN.prototype._countBits = genCountBits(24);
// Return number of used bits in a BN
BN.prototype.bitLength = function bitLength() {
this.strip();
var hi = 0;
var w = this.words[this.length - 1];
var hi = this._countBits(w);
return (this.length - 1) * 24 + hi;
};
// Return negative clone of `this`
BN.prototype.neg = function neg() {

@@ -164,2 +222,3 @@ var r = this.clone();

// Add `num` to `this`
BN.prototype.add = function add(num, base) {

@@ -186,4 +245,4 @@ if (!(num instanceof BN))

var r = a + b + carry;
result.words[i] = r & 0xffff;
carry = r >> 16;
result.words[i] = r & 0xffffff;
carry = r >> 24;
}

@@ -198,2 +257,3 @@ if (carry) {

// Subtract `num` from `this`
BN.prototype.sub = function sub(num, base) {

@@ -225,3 +285,3 @@ if (!(num instanceof BN))

if (r < 0) {
r += 0x10000;
r += 0x1000000;
carry = 1;

@@ -247,2 +307,3 @@ } else {

// Multiply `this` by `num`
BN.prototype.mul = function mul(num, base) {

@@ -267,8 +328,8 @@ if (!(num instanceof BN))

var lo = r & 0xffff;
var carry = (r - lo) / 0x10000;
var lo = r & 0xffffff;
var carry = (r - lo) / 0x1000000;
if (result.words[k]) {
lo = result.words[k] + lo;
result.words[k] = lo & 0xffff;
carry += lo >> 16;
result.words[k] = lo & 0xffffff;
carry += lo >> 24;
} else {

@@ -280,8 +341,8 @@ result.words[k] = lo;

k++;
assert(carry <= 0xffff);
assert(carry <= 0xffffff);
for (; carry !== 0; k++) {
if (result.words[k]) {
carry = result.words[k] + carry;
result.words[k] = carry & 0xffff;
carry >>= 16;
carry += result.words[k];
result.words[k] = carry & 0xffffff;
carry >>= 24;
} else {

@@ -299,2 +360,3 @@ result.words[k] = carry;

// `this` * `this`
BN.prototype.sqr = function sqr() {

@@ -310,17 +372,17 @@ var res = new BN(null);

var uv = a * b;
var v = uv & 0xffff;
var u = (uv - v) / 0x10000;
var v = uv & 0xffffff;
var u = (uv - v) / 0x1000000;
if (i < j) {
u <<= 1;
r2 += u >> 16;
r2 += u >> 24;
v <<= 1;
u |= v >> 16;
u &= 0xffff;
v &= 0xffff;
u |= v >> 24;
u &= 0xffffff;
v &= 0xffffff;
}
r0 += v;
r1 += u + (r0 >> 16);
r2 += r1 >> 16;
r0 &= 0xffff;
r1 &= 0xffff;
r1 += u + (r0 >> 24);
r2 += r1 >> 24;
r0 &= 0xffffff;
r1 &= 0xffffff;
}

@@ -337,6 +399,8 @@ res.words[k] = r0;

// Shift-left in-place
BN.prototype.ishl = function ishl(bits) {
assert(typeof bits === 'number');
var r = bits % 16;
var s = bits >> 4;
var r = bits % 24;
var s = (bits - r) / 24;
var carryMask = (0xffffff >> (24 - r)) << (24 - r);

@@ -346,5 +410,6 @@ if (r !== 0) {

for (var i = 0; i < this.length; i++) {
var c = this.words[i] << r;
this.words[i] = (c & 0xffff) | carry;
carry = c >> 16;
var newCarry = this.words[i] & carryMask;
var c = (this.words[i] - newCarry) << r;
this.words[i] = c | carry;
carry = newCarry >> (24 - r);
}

@@ -368,10 +433,18 @@ if (carry) {

BN.prototype.ishr = function ishr(bits) {
// Shift-right in-place
// NOTE: `hint` is a lowest bit before trailing zeroes
BN.prototype.ishr = function ishr(bits, hint) {
assert(typeof bits === 'number');
var r = bits % 16;
var s = bits >> 4;
if (!hint)
hint = 0;
else
hint = (hint - (hint % 24)) / 24;
var mask = 0xffff ^ ((0xffff >> r) << r);
var r = bits % 24;
var s = (bits - r) / 24;
var mask = 0xffffff ^ ((0xffffff >> r) << r);
if (s !== 0) {
hint -= s;
hint = Math.max(0, hint);
for (var i = 0; i < s; i++)

@@ -384,5 +457,5 @@ this.words.shift();

var carry = 0;
for (var i = this.length - 1; i >= 0; i--) {
for (var i = this.length - 1; i >= 0 && (carry !== 0 || i >= hint); i--) {
var word = this.words[i];
this.words[i] = (carry << (16 - r)) | (this.words[i] >> r);
this.words[i] = (carry << (24 - r)) | (this.words[i] >> r);
carry = word & mask;

@@ -400,2 +473,3 @@ }

// Shift-left
BN.prototype.shl = function shl(bits) {

@@ -405,2 +479,3 @@ return this.clone().ishl(bits);

// Shift-right
BN.prototype.shr = function shr(bits) {

@@ -410,5 +485,50 @@ return this.clone().ishr(bits);

// Return only lowers bits of number (in-place)
BN.prototype.imask = function imask(bits) {
assert(typeof bits === 'number');
var r = bits % 24;
var s = (bits - r) / 24;
assert(!this.sign, 'imask works only with positive numbers');
this.words.length = Math.min(s + 1, this.words.length);
this.length = this.words.length;
var mask = 0xffffff ^ ((0xffffff >> r) << r);
this.words[this.words.length - 1] &= mask;
return this.strip();
};
// Return only lowers bits of number
BN.prototype.mask = function mask(bits) {
return this.clone().imask(bits);
};
// Add plain number `num` to `this`
BN.prototype.iadd = function iadd(num) {
assert(typeof num === 'number');
if (num < 0)
return this.isub(num);
this.words[0] += num;
// Carry
for (var i = 0; i < this.length && this.words[i] >= 0x1000000; i++) {
this.words[i] -= 0x1000000;
if (i == this.length - 1)
this.words[i + 1] = 1;
else
this.words[i + 1]++;
}
this.length = this.words.length;
return this;
};
// Subtract plain number `num` from `this`
BN.prototype.isub = function isub(num) {
assert(typeof num === 'number');
assert(this.cmp(num) >= 0, 'Sign change is not supported in isub');
if (num < 0)
return this.iadd(-num);
this.words[0] -= num;

@@ -418,3 +538,3 @@

for (var i = 0; i < this.length && this.words[i] < 0; i++) {
this.words[i] += 0x10000;
this.words[i] += 0x1000000;
this.words[i + 1] -= 1;

@@ -426,38 +546,2 @@ }

function findShift(a, b, minShift, maxShift) {
var shift = minShift;
var q = new BN(1).ishl(shift);
var max = b.shl(shift);
var i = 0;
// Use binary search to determine proper amount of shift
while (true) {
var next;
var c = a.cmp(max);
i++;
if (c < 0) {
next = shift >> 1;
maxShift = shift;
q.ishr(shift - next);
max.ishr(shift - next);
} else if (c > 0) {
next = (maxShift + shift) >> 1;
minShift = shift;
q.ishl(next - shift);
max.ishl(next - shift);
} else if (c === 0)
break;
if (shift === next)
break;
shift = next;
}
if (c < 0 && shift >= 0) {
shift--;
q.ishr(1);
max.ishr(1);
}
return { q: q, max: max, shift: shift };
}
BN.prototype._div = function _div(num, base) {

@@ -489,7 +573,9 @@ if (!(num instanceof BN))

// Find maximum Q, Q * num <= this
var delta = this.length - num.length;
var f = findShift(this, num, delta * 16, delta * 16 + 17);
var shift = f.shift;
var q = f.q;
var max = f.max;
var shift = Math.max(0, this.bitLength() - num.bitLength());
var max = num.shl(shift);
if (shift > 0 && this.cmp(max) < 0) {
max.ishr(1, shift);
shift--;
}
var maxLen = max.bitLength();

@@ -502,7 +588,6 @@ var c = this;

c = c.sub(max);
r = r.add(q);
r = r.binc(shift);
}
q.ishr(1);
max.ishr(1);
shift--;
max.ishr(1, shift);
shift -= 1;
}

@@ -512,2 +597,3 @@ return { mod: c, div: r };

// Find `this` / `num`
BN.prototype.div = function div(num, base) {

@@ -517,2 +603,3 @@ return this._div(num, base).div;

// Find `this` % `num`
BN.prototype.mod = function mod(num, base) {

@@ -522,13 +609,5 @@ return this._div(num, base).mod;

BN.prototype.divm = function divm(num0, base0, num1, base1) {
if (typeof base0 !== 'number') {
var x1 = new BN(num0);
var p = new BN(base0, num1);
} else {
var x1 = new BN(num0, base0);
var p = new BN(num1, base1);
}
BN.prototype._egcd = function _egcd(x1, p) {
assert(!p.sign);
assert(!p.sign && p.isOdd());
var a = this;

@@ -541,6 +620,5 @@ var b = p;

a = a.clone();
x1 = x1.clone();
assert(a.cmp(0) !== 0);
x1 = x1.clone();
var x2 = new BN(0);

@@ -576,4 +654,7 @@ while (a.cmp(1) !== 0 && b.cmp(1) !== 0) {

// Invert number in the field F(num)
BN.prototype.invm = function invm(num, base) {
return this.divm(1, num, base);
if (!(num instanceof BN))
num = new BN(num, base);
return this._egcd(new BN(1), num);
};

@@ -589,2 +670,3 @@

// And first word and num
BN.prototype.andl = function andl(num) {

@@ -594,2 +676,35 @@ return this.words[0] & num;

// Increment at the bit position in-line
BN.prototype.binc = function binc(bit) {
assert(typeof bit === 'number');
var r = bit % 24;
var s = (bit - r) / 24;
var q = 1 << r;
// Fast case: bit is much higher than all existing words
if (this.length <= s) {
for (var i = this.length; i < s + 1; i++)
this.words[i] = 0;
this.words[s] |= q;
this.length = this.words.length;
return this;
}
// Add bit and propagate, if needed
var carry = q;
for (var i = s; carry != 0; i++) {
var w = i < this.length ? this.words[i] : 0;
w += carry;
carry = w >> 24;
w &= 0xffffff;
this.words[i] = w;
}
this.length = this.words.length;
return this;
};
// Compare two numbers and return:
// 1 - if `this` > `num`
// 0 - if `this` == `num`
// -1 - if `this` < `num`
BN.prototype.cmp = function cmp(num, base) {

@@ -601,3 +716,3 @@ // Fast number checks

num = -num;
num &= 0xffff;
num &= 0xffffff;
this.strip();

@@ -657,1 +772,125 @@

};
BN.prototype.forceMont = function forceMont(ctx) {
assert(!this.mont, 'Already a montgomery number');
this.mont = ctx;
return this;
};
BN.prototype.toMont = function toMont(ctx) {
assert(!this.mont, 'Already a montgomery number');
assert(!this.sign, 'mont works only with positives');
var res = this.shl(ctx.shift).mod(ctx.m);
res.mont = ctx;
return res;
};
BN.prototype.fromMont = function fromMont() {
assert(this.mont, 'fromMont works only with mont numbers');
var ctx = this.mont;
return this.mul(ctx.rinv).mod(ctx.m);
};
BN.prototype.montAdd = function montAdd(num, base) {
if (!(num instanceof BN))
num = new BN(num, base).toMont(this.mont);
assert(!this.sign && !num.sign, 'mont works only with positives');
assert(this.mont && this.mont === num.mont,
'montAdd works only with mont numbers');
var mont = this.mont;
var res = this.add(num);
if (res.cmp(mont.m) >= 0)
res = res.sub(mont.m);
res.mont = mont;
return res;
};
BN.prototype.montSub = function montSub(num, base) {
if (!(num instanceof BN))
num = new BN(num, base).toMont(this.mont);
assert(!this.sign && !num.sign, 'mont works only with positives');
assert(this.mont && this.mont === num.mont,
'montSub works only with mont numbers');
var mont = this.mont;
var res = this.sub(num);
if (res.cmp(0) < 0)
res = res.add(mont.m);
res.mont = mont;
return res;
};
BN.prototype.montShl = function montShl(num) {
assert(!this.sign, 'mont works only with positives');
assert(this.mont, 'montShl works only with mont numbers');
var mont = this.mont;
var res = this.shl(num).mod(mont.m);
res.mont = mont;
return res;
};
BN.prototype.montMul = function montMul(num, base) {
if (!(num instanceof BN))
num = new BN(num, base).toMont(this.mont);
assert(!this.sign && !num.sign, 'mont works only with positives');
assert(this.mont && this.mont === num.mont,
'montMul works only with mont numbers');
var mont = this.mont;
var t = this.mul(num);
var c = t.mul(mont.minv).imask(mont.shift).mul(mont.m);
var u = t.sub(c).ishr(mont.shift);
var res = u;
if (u.cmp(mont.m) >= 0)
res = u.sub(mont.m);
else if (u.cmp(0) < 0)
res = u.add(mont.m);
res.mont = mont;
return res;
};
BN.prototype.montSqr = function montSqr() {
return this.montMul(this);
};
BN.prototype.montInvm = function montInvm() {
assert(!this.sign, 'mont works only with positives');
assert(this.mont, 'montInvm works only with mont numbers');
// (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R
var res = this.invm(this.mont.m).mul(this.mont.r2).mod(this.mont.m);
res.mont = this.mont;
return res;
};
// Return negative clone of `this` % `mont modulo`
BN.prototype.montNeg = function montNeg() {
assert(!this.sign, 'mont works only with positives');
assert(this.mont, 'montNeg works only with mont numbers');
var r = this.clone();
r.sign = !this.sign;
r = r.add(this.mont.m);
r.mont = this.mont;
return r;
};
BN.mont = function mont(num, base) {
return new Mont(num, base);
};
function Mont(num, base) {
this.m = new BN(num, base);
this.shift = this.m.bitLength();
if (this.shift % 24 !== 0)
this.shift += 24 - (this.shift % 24);
this.r = new BN(1).ishl(this.shift);
this.r2 = this.r.sqr().mod(this.m);
this.rinv = this.r.invm(this.m);
// TODO(indutny): simplify it
this.minv = this.rinv.mul(this.r).sub(1).div(this.m).neg().mod(this.r);
}

304

lib/elliptic/curve.js

@@ -7,9 +7,10 @@ var assert = require('assert');

this.p = new BN(conf.p, 16);
this.a = new BN(conf.a, 16);
this.b = new BN(conf.b, 16);
this.mont = BN.mont(this.p);
this.a = new BN(conf.a, 16).toMont(this.mont);
this.b = new BN(conf.b, 16).toMont(this.mont);
}
module.exports = Curve;
Curve.prototype.point = function point(x, y) {
return new Point(this, x, y);
Curve.prototype.point = function point(x, y, isMont) {
return new Point(this, x, y, isMont);
};

@@ -21,2 +22,6 @@

Curve.prototype.pointFromJSON = function pointFromJSON(obj) {
return Point.fromJSON(this, obj);
};
Curve.prototype.validate = function validate(point) {

@@ -29,7 +34,58 @@ if (point.inf)

var rhs = x.mul(x).mul(x).add(this.a.mul(x)).add(this.b);
return y.mul(y).sub(rhs).mod(this.p).cmp(0) === 0;
var ax = this.a.montMul(x);
var rhs = x.montSqr().montMul(x).montAdd(ax).montAdd(this.b);
return y.montSqr().montSub(rhs).cmp(0) === 0;
};
function Point(curve, x, y) {
Curve.prototype._nafMul = function _nafMul(p, k) {
var naf = getNAF(k, 2);
var acc = this.point(null, null);
var q = p;
for (var i = 0; i < naf.length; i++, q = q.dbl()) {
var z = naf[i];
if (z === 1)
acc = acc.add(q);
else if (z === -1)
acc = acc.add(q.neg());
else
continue;
}
return acc;
};
Curve.prototype._wnafMul = function _wnafMul(p, k) {
var w = 4;
var naf = getNAF(k, w);
// Precompute window
var wnd = [ p ];
var dbl;
for (var i = 1; i < (1 << (w - 1)); i++) {
if (!dbl)
dbl = p.dbl();
wnd[i] = wnd[i - 1].add(dbl);
}
// Convert everything to J, if needed
if (p instanceof Point)
for (var i = 0; i < wnd.length; i++)
wnd[i] = wnd[i].toJ();
// Add `this`*(N+1) for every w-NAF index
var acc = this.jpoint(null, null, null);
for (var i = naf.length - 1; i >= 0; i--) {
var z = naf[i];
acc = acc.dbl();
if (z === 0)
continue;
if (z > 0)
acc = acc.add(wnd[(z - 1) >> 1]);
else
acc = acc.add(wnd[(-z - 1) >> 1].neg());
}
return p instanceof Point ? acc.toP() : acc;
};
function Point(curve, x, y, isMont) {
this.curve = curve;

@@ -43,2 +99,11 @@ if (x === null && y === null) {

this.y = new BN(y, 16);
// Force montgomery representation when loading from JSON
if (isMont) {
this.x.forceMont(this.curve.mont);
this.y.forceMont(this.curve.mont);
}
if (!this.x.mont)
this.x = this.x.toMont(this.curve.mont);
if (!this.y.mont)
this.y = this.y.toMont(this.curve.mont);
this.inf = false;

@@ -54,6 +119,6 @@ }

Point.prototype.precompute = function precompute(power) {
this.precomputed = [];
var q = this;
for (var i = 0; i < power; i++) {
q = q.dbl();
if (!this.precomputed)
this.precomputed = [];
for (var i = this.precomputed.length; i < power; i++) {
var q = (i === 0 ? this : this.precomputed[i - 1]).dbl();
this.precomputed.push(q);

@@ -68,2 +133,26 @@ }

Point.fromJSON = function fromJSON(curve, obj) {
if (typeof obj === 'string')
obj = JSON.parse(obj);
var res = curve.point(obj[0], obj[1], true);
if (!obj[2])
return res;
res.precomputed = obj[2].map(function(obj) {
return curve.point(obj[0], obj[1], true);
});
return res;
};
Point.prototype.inspect = function inspect() {
if (this.isInfinity())
return '<EC Point Infinity>';
return '<EC Point x: ' + this.x.fromMont().toString(16) +
' y: ' + this.y.fromMont().toString(16) +
' pc: ' + (this.precomputed && this.precomputed.length || 0) + '>';
};
Point.prototype.isInfinity = function isInfinity() {
return this.inf;
};
Point.prototype.add = function add(p) {

@@ -90,6 +179,9 @@ // Mixed addition

var m = this.curve.p;
var c = this.y.sub(p.y).mul(this.x.sub(p.x).invm(m));
var nx = c.sqr().sub(this.x).sub(p.x).mod(m);
var ny = c.mul(this.x.sub(nx)).sub(this.y).mod(m);
// P + Q = O
if (this.x.cmp(p.x) === 0)
return this.curve.point(null, null);
var c = this.y.montSub(p.y).montMul(this.x.montSub(p.x).montInvm());
var nx = c.montSqr().montSub(this.x).montSub(p.x);
var ny = c.montMul(this.x.montSub(nx)).montSub(this.y);
return this.curve.point(nx, ny);

@@ -99,2 +191,4 @@ };

Point.prototype.dbl = function dbl() {
if (this.inf)
return this;
if (this.precomputed && this.precomputed.length) {

@@ -107,25 +201,40 @@ var cached = this.precomputed[0];

}
// 2P = O
var ys1 = this.y.montShl(1);
if (ys1.cmp(0) === 0)
return this.curve.point(null, null);
var a = this.curve.a;
var p = this.curve.p;
var x2 = this.x.sqr();
var dyinv = this.y.shl(1).invm(p);
var c = x2.mul(3).add(a).mul(dyinv);
var x2 = this.x.montSqr();
var dyinv = ys1.montInvm();
var c = x2.montMul(3).montAdd(a).montMul(dyinv);
var nx = c.sqr().sub(this.x.shl(1)).mod(p);
var ny = c.mul(this.x.sub(nx)).sub(this.y).mod(p);
var nx = c.montSqr().montSub(this.x.montShl(1));
var ny = c.montMul(this.x.montSub(nx)).montSub(this.y);
return this.curve.point(nx, ny);
};
Point.prototype.mul = function mul(k, kbase) {
if (!(k instanceof BN))
k = new BN(k, kbase);
Point.prototype.getX = function getX() {
return this.x.fromMont();
};
// Represent k in a NAF form
Point.prototype.getY = function getY() {
return this.y.fromMont();
};
function getNAF(num, w) {
// Represent k in a w-NAF form
var naf = [];
k = k.clone();
while (k.cmp(0) !== 0) {
var ws = 1 << w;
var k = num.clone();
while (k.cmp(1) >= 0) {
var z;
if (k.isOdd()) {
z = 2 - k.andl(3);
var mod = k.andl(ws - 1);
if (mod > (ws >> 1) - 1)
z = (ws >> 1) - mod;
else
z = mod;
k.isub(z);

@@ -136,18 +245,21 @@ } else {

naf.push(z);
k.ishr(1);
// Optimization, shift by word if possible
var shift = (k.cmp(0) !== 0 && k.andl(ws - 1) === 0) ? w : 1;
for (var i = 1; i < shift; i++)
naf.push(0);
k.ishr(shift);
}
// Add powers of two one-by-one
var acc = this.curve.point(null, null);
var q = this;
for (var i = 0; i < naf.length; i++, q = q.dbl()) {
var z = naf[i];
if (z === 1)
acc = acc.add(q);
else if (z === -1)
acc = acc.add(q.neg());
else
continue;
}
return acc;
return naf;
}
Point.prototype.mul = function mul(k, kbase) {
if (!(k instanceof BN))
k = new BN(k, kbase);
if (this.precomputed && this.precomputed.length)
return this.curve._nafMul(this, k);
else
return this.curve._wnafMul(this, k);
};

@@ -162,3 +274,3 @@

Point.prototype.neg = function neg() {
return this.curve.point(this.x, this.y.neg());
return this.curve.point(this.x, this.y.montNeg());
};

@@ -168,5 +280,7 @@

if (this.inf)
return this.curve.jpoint(new BN(1), new BN(1), new BN(0));
return this.curve.jpoint(null, null, null);
return this.curve.jpoint(this.x, this.y, new BN(1));
var res = this.curve.jpoint(this.x, this.y, new BN(1));
res.precomputed = this.precomputed;
return res;
};

@@ -185,13 +299,19 @@

}
if (!this.x.mont)
this.x = this.x.toMont(this.curve.mont);
if (!this.y.mont)
this.y = this.y.toMont(this.curve.mont);
if (!this.z.mont)
this.z = this.z.toMont(this.curve.mont);
this.precomputed = null;
};
JPoint.prototype.toP = function toP() {
if (this.z.cmp(0) === 0)
if (this.isInfinity())
return this.curve.point(null, null);
var p = this.curve.p;
var zinv = this.z.invm(p);
var zinv2 = zinv.sqr();
var ax = this.x.mul(zinv2).mod(p);
var ay = this.y.mul(zinv2).mul(zinv).mod(p);
var zinv = this.z.montInvm();
var zinv2 = zinv.montSqr();
var ax = this.x.montMul(zinv2);
var ay = this.y.montMul(zinv2).montMul(zinv);

@@ -202,3 +322,3 @@ return this.curve.point(ax, ay);

JPoint.prototype.neg = function neg() {
return this.curve.jpoint(this.x, this.y.neg(), this.z);
return this.curve.jpoint(this.x, this.y.montNeg(), this.z);
};

@@ -212,7 +332,7 @@

// O + P = P
if (this.z.cmp(0) === 0)
if (this.isInfinity())
return p;
// P + O = P
if (p.z.cmp(0) === 0)
if (p.isInfinity())
return this;

@@ -223,18 +343,18 @@

var pz2 = p.z.sqr();
var z2 = this.z.sqr();
var pz2 = p.z.montSqr();
var z2 = this.z.montSqr();
var s1 = this.y.mul(pz2.mul(p.z));
var s2 = p.y.mul(z2.mul(this.z));
var u1 = this.x.mul(pz2);
var u2 = p.x.mul(z2);
var r = s1.sub(s2);
var h = u1.sub(u2);
var h2 = h.sqr();
var g = h2.mul(h);
var v = u1.mul(h2);
var s1 = this.y.montMul(pz2.montMul(p.z));
var s2 = p.y.montMul(z2.montMul(this.z));
var u1 = this.x.montMul(pz2);
var u2 = p.x.montMul(z2);
var r = s1.montSub(s2);
var h = u1.montSub(u2);
var h2 = h.montSqr();
var g = h2.montMul(h);
var v = u1.montMul(h2);
var nx = r.sqr().add(g).sub(v.shl(1)).mod(this.curve.p);
var ny = r.mul(v.sub(nx)).sub(s1.mul(g)).mod(this.curve.p);
var nz = this.z.mul(p.z).mul(h).mod(this.curve.p);
var nx = r.montSqr().montAdd(g).montSub(v.montShl(1));
var ny = r.montMul(v.montSub(nx)).montSub(s1.montMul(g));
var nz = this.z.montMul(p.z).montMul(h);

@@ -249,3 +369,12 @@ return this.curve.jpoint(nx, ny, nz);

JPoint.prototype.dbl = function dbl() {
var p = this.curve.p;
if (this.isInfinity())
return this;
if (this.precomputed && this.precomputed.length) {
var cached = this.precomputed[0];
var res = this.curve.point(cached.x, cached.y);
if (this.precomputed.length > 1)
res.precomputed = this.precomputed.slice(1);
return res.toJ();
}
var a = this.curve.a;

@@ -257,14 +386,23 @@

var jx2 = jx.sqr();
var jy2 = jy.sqr();
var jz4 = jz.sqr().sqr();
var c = jx2.mul(3).add(a.mul(jz4));
var jx2 = jx.montSqr();
var jy2 = jy.montSqr();
var jz4 = jz.montSqr().montSqr();
var c = jx2.montMul(3).montAdd(a.montMul(jz4));
var nx = c.sqr().sub(jx.shl(3).mul(jy2));
var ny = c.mul(jx.shl(2).mul(jy2).sub(nx)).sub(jy2.sqr().shl(3));
var nz = jy.shl(1).mul(jz);
var t1 = jx.montShl(2).montMul(jy2);
var nx = c.montSqr().montSub(t1.montShl(1));
var t2 = t1.montSub(nx);
var ny = c.montMul(t2).montSub(jy2.montSqr().montShl(3));
var nz = jy.montShl(1).montMul(jz);
return this.curve.jpoint(nx.mod(p), ny.mod(p), nz.mod(p));
return this.curve.jpoint(nx, ny, nz);
};
JPoint.prototype.mul = function mul(k, kbase) {
if (!(k instanceof BN))
k = new BN(k, kbase);
return this.curve._wnafMul(this, k);
};
JPoint.prototype.eq = function eq(p) {

@@ -283,1 +421,13 @@ if (p instanceof Point)

};
JPoint.prototype.inspect = function inspect() {
if (this.isInfinity())
return '<EC JPoint Infinity>';
return '<EC JPoint x: ' + this.x.toString(16) +
' y: ' + this.y.toString(16) +
' z: ' + this.z.toString(16) + '>';
};
JPoint.prototype.isInfinity = function isInfinity() {
return this.z.cmp(0) === 0;
};

1200

lib/elliptic/nist.js

@@ -0,143 +1,1075 @@

var nist = exports;
var assert = require('assert');
var util = require('util');
var elliptic = require('../elliptic');
var BN = elliptic.bn;
// Just a common base for instance of check
function NIST() {
this.p = null;
}
module.exports = NIST;
function NISTCurve(options) {
this.curve = new elliptic.curve(options);
this.g = this.curve.pointFromJSON(options.g);
this.n = new elliptic.bn(options.n, 16);
this.h = new elliptic.bn(options.h, 16);
this.hash = options.hash;
function w2b32(indices, n) {
var src = [];
for (var i = indices.length - 1; i >= 0; i--) {
var index = indices[i];
if (index === -1)
src.push('0', '0');
else
src.push('w[' + index * 2 + ']', 'w[' + (index * 2 + 1) + ']');
}
src = 'return new BN([ ' + src.join(', ') + ' ]);';
var fn = new Function('w', 'BN', src);
fn.name = n;
return fn;
assert(this.g.validate(), 'Invalid NIST curve');
assert(this.g.mul(this.n).isInfinity(), 'Invalid NIST curve, G*N != O');
}
nist.NISTCurve = NISTCurve;
function w2b64(indices, n) {
var src = [];
for (var i = indices.length - 1; i >= 0; i--) {
var index = indices[i];
if (index === -1)
src.push('0', '0', '0', '0');
else
src.push('w[' + index * 4 + ']',
'w[' + (index * 4 + 1) + ']',
'w[' + (index * 4 + 2) + ']',
'w[' + (index * 4 + 3) + ']');
}
src = 'return new BN([ ' + src.join(', ') + ' ]);';
var fn = new Function('w', 'BN', src);
fn.name = n;
return fn;
function defineCurve(name, options) {
Object.defineProperty(nist, name, {
configurable: true,
enumerable: true,
get: function() {
var curve = new NISTCurve(options);
Object.defineProperty(nist, name, {
configurable: true,
enumerable: true,
value: curve
});
return curve;
}
});
}
var p192 = new BN('fffffffffffffffffffffffffffffffeffffffffffffffff', 16);
var p192_2 = p192.mul(p192);
defineCurve('secp256k1', {
p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f',
a: '0',
b: '7',
n: 'ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141',
h: '1',
hash: elliptic.hash.sha256,
var p256 = new BN(
'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f',
16);
var p256_2 = p256.mul(p256);
function P192() {
NIST.call(this);
this.p = p192;
this.p2 = p192_2;
}
util.inherits(P192, NIST);
NIST.p192 = P192;
P192.prototype.t = w2b64([ 2, 1, 0 ], 't_192');
P192.prototype.s1 = w2b64([ -1, 3, 3 ], 's1_192');
P192.prototype.s2 = w2b64([ 4, 4, -1 ], 's2_192');
P192.prototype.s3 = w2b64([ 5, 5, 5 ], 's3_192');
P192.prototype.mod = function mod(a) {
a.strip();
assert(a.length <= 24);
// a should be <= p^2
if (a.cmp(this.p2) > 0)
return a.mod(this.p);
var cmp = a.cmp(this.p);
if (cmp === 0)
return new BN(0);
else if (cmp < 0)
return a.clone();
var w = a.words.slice();
for (var i = 0; i < 24; i++)
w[i] |= 0;
var t = this.t(w, BN);
var s1 = this.s1(w, BN);
var s2 = this.s2(w, BN);
var s3 = this.s3(w, BN);
var r = t.add(s1).add(s2).add(s3);
return r.mod(this.p);
};
function P256() {
NIST.call(this);
this.p = p256;
this.p2 = p256_2;
}
util.inherits(P256, NIST);
NIST.p256 = P256;
P256.prototype.t = w2b32([ 7, 6, 5, 4, 3, 2, 1, 0 ], 't_256');
P256.prototype.s1 = w2b32([ 15, 14, 13, 12, 11, -1, -1, -1 ], 's1_256');
P256.prototype.s2 = w2b32([ -1, 15, 14, 13, 12, -1, -1, -1 ], 's2_256');
P256.prototype.s3 = w2b32([ 15, 14, -1, -1, -1, 10, 9, 8 ], 's3_256');
P256.prototype.s4 = w2b32([ 8, 13, 15, 14, 13, 11, 10, 9 ], 's4_256');
P256.prototype.d1 = w2b32([ 10, 8, -1, -1, -1, 13, 12, 11 ], 'd1_256');
P256.prototype.d2 = w2b32([ 11, 9, -1, -1, 15, 14, 13, 12 ], 'd2_256');
P256.prototype.d3 = w2b32([ 12, -1, 10, 9, 8, 15, 14, 13 ], 'd3_256');
P256.prototype.d4 = w2b32([ 13, -1, 11, 10, 9, -1, 15, 14 ], 'd4_256');
P256.prototype.mod = function mod(a) {
a.strip();
assert(a.length <= 32);
// a should be <= p^2
if (a.cmp(this.p2) > 0)
return a.mod(this.p);
var cmp = a.cmp(this.p);
if (cmp === 0)
return new BN(0);
else if (cmp < 0)
return a.clone();
var w = a.words.slice();
for (var i = 0; i < 32; i++)
w[i] |= 0;
var t = this.t(w, BN);
var s1 = this.s1(w, BN);
var s2 = this.s2(w, BN);
var s3 = this.s3(w, BN);
var s4 = this.s4(w, BN);
var d1 = this.d1(w, BN);
var d2 = this.d2(w, BN);
var d3 = this.d3(w, BN);
var d4 = this.d4(w, BN);
var r = t.add(s1.add(s2).shl(1)).add(s3).add(s4)
.sub(d1).sub(d2).sub(d3).sub(d4);
return r.mod(this.p);
};
// Point and precomputed 2^N powers of it in Montgomery representation
// x: '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',
// y: '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',
g: [
'81e643e9089f48979f48c033fd129c231e295329bc66dbd7362e5ae17e22dee9',
'3f851fd4a582d670b6b59aac19c1368dfc5d5d1f1dc64db15ea6d3a2dbaef7ff',
[
[
'18623ccba0ee23ce0b62e1e014040471354afc88b285a04e0640ca7a0490e249',
'7f7712157b93134b3a0f64bda2cc6584fd25167dc75ce17d12d6233bacd0a3fc'
],
[
'57e6951ca769b7de9fbe79f9b379e037571e4d3b9b132f3daa13e8c86a0c5c69',
'9a2dbb209e02b9c3e5bac23d6a1839746dd1bf9400d1361372e87ea7f5ec0b0c'
],
[
'88630cfa83a8c376af358ab408c8b7a060c0bfa606728f2316207010b4b8d33',
'b43f997949086075193c47f1ea48b27b292c94ece7dd34ceb03c71ca2c2ef695'
],
[
'f2007d526d9948952ed69488f3f45a78d77162cf43dec541a38519a6e24ab567',
'6b9ec0f2e973c0e6e1d02ce631ad7535538b908855c928b252bfb8db528997e4'
],
[
'd1c0e47be6cf2393e19cc4fe000a29acc8229d708ed2437c2cd2b5e56a3f7518',
'734a1a4359aeab408bc0f94e530eb07674374a341f8cab7d04a2a0123f3abf4d'
],
[
'8bbcf71f86167c317b23fa350f79dcad6f0e400a1a959cd8c0c00c51c5e3a9e4',
'5413fb651654589117a04bde169768dba32df911f6a91f8a4e4fb78f8d62864c'
],
[
'530b36ceacef824de65a27831fe18424baa6dda27cf329eda00fa6313b00c355',
'92c43520968b2f8cdaad292cd58757a15e982da1c18ac5bee2fc9ab0b46d91de'
],
[
'79cef38ff606e4c31c9d2f4edff79f1835086b7c2024c94cfcb4bdc410757935',
'512c3a42dfcd74e023b6f049955153627c2be007e10df3b48c82cee71b19f40b'
],
[
'18b94b4713f604867081c61d838e774aad02f81775f1000bfe04a93854817fac',
'1b6e9b27763e717fe3818474c34d950be67ab5ef0dd49ee154230edd749947a3'
],
[
'f5a0f4033b7e89cb9f68786a0679a18668fe168ddbbeaadb47b9e1bb2a40dc0',
'530cc3e4dc133b6190f9094db5f974f227ec0293549ddc215ebe7d2ce18a5f5'
],
[
'c2f19024b2b7b7a908234a2b3f43716d395846aaadd62f7de2cebe0798367478',
'dc4b14168e68f122a165029cbf6ea0e11536a3d7adab7e52b72395319a03c5c2'
],
[
'9c0bde99755bf7919bd70b4a6e9f8aa001a156834431ed116c76885bc21a63a0',
'307be489bce3f59658dc8daad44dabfe233422662644c34714b6ca8f90f66554'
],
[
'5df455e6f0c5c9663940c4be7b2361c03325d7b4b720bd80ffeb1a76f0adc933',
'72f60db0067652861e5afbf991aaed980cd80bf0a4cc8a6ca7dfd97e3f151b21'
],
[
'624ceaeda196b06c39f5e0f89a609f28d321824861c6c0749f73b1682ac9958d',
'2e7ce8d09ae8893ab968eb37aae611324cd765629f2067875485b0a3a47fb12c'
],
[
'd4c6a641ee668cc8e8a1edb3e5216e993ff46b1930d6a46b260bbfa6757d7a00',
'8f9f7804862d3efe18ecda874d8d5468b15374a4b5047f273938fafe808a0950'
],
[
'a5c6c230aecdacb3e4b0ac7afd029c1c45ee21fc87d728472e39690a33ea65c8',
'ae9d2208a0867e1f22f9382ceb7a9b21a5ec7a4bc742b043b7f34ffde4685ba0'
],
[
'eb1f6c1fd6a297097ddc650598761ba39fa521b63549ad1d910ba6e677c26002',
'95e1cf76e99c7a4d8e8d733ff90728c6b0f39b86090af18a2ea43e6ef8bafd02'
],
[
'e3321a2331559245eef966d467dd29b2573c15b709812c4198dc506ad556ab4d',
'd3daf8a9add060a647d9ca97e169539615d43ea05e9a8257f5392f107d25fcab'
],
[
'c561e9c579b1bdb3f1ca5e1840794d46e632ebddc4127d95cdc2c706a850bacc',
'4227aa0ec7c8ff13a5eeac1b63f97770d106284f4631f6ca6f7ed12d7f4d7757'
],
[
'99a71b1bac7deb7a4d9d08b3b5828cbcff12d439515ff5d53d5d056aed76f778',
'37dbe3c16011241ed24e35f6d343520d85465e5e7f89ab6137eef321436deb17'
],
[
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[
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[
'd4f20138499dbfe9c42a0ac615ab9c457c5a6154894dcc1ba0afe675b69a03c2',
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[
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[
'b6cf6d33a6e0cf2b86b881b18ada64e49b74861ab412f4d0f1da3bcbf7b60cf3',
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[
'd415283339d50249e3bdd1313b1e13e7db08e9728cdf90e18c97ff075dd5580b',
'1d3b0adcee4df2171040895828d7259e0e414d05d4cd427da926df59e8e0bb28'
],
[
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'cabe71879e8025b5f5aae063eec85a574113a96c0055fd712b377af4589e8b0d'
],
[
'c4b5c334d187441e86f74d28e9ea106bb8f04b30b7b45e44c0d48516e5b9d633',
'15d26f594d6567f579e7ec06f9e2252fc9c9243d1fe201bf544b3bd4b9ba2823'
],
[
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'161987d76aeab32c050b87970992ebebc94b224f2f393b42881bea74457af01d'
],
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'a3375cac528da855d3bb737df692644fa496b7f3de6f3ada88126742ca0edc83'
],
[
'4c0d91b2797e520308651061e240df9475450fd149e823fdba1119e22c4d7e6c',
'5e0c8db6c3c6a3e28d8a1e631bf262c9f2500993dfaa5707a9f04ecee2e8155a'
],
[
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'27be701a87b1ec2deb4dd4cc6235cb042750f110369df12bf616d0b9f965a1a8'
],
[
'f106769e4de7ecaffebff2c634df504b5d7ec5f93bccb7f307596869d0da3d05',
'd7f4ce56c557ec0f088fd430f523a7cdeb6b7340b78910d7283b85ce65ad793'
],
[
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'a532856d060cfd48e5d2d78daa09b3560bdc675660a6ac61f97d946a1e0315e1'
],
[
'8532d4a7bcaff3afef1fffeb247a53a18cdcd5d7c445c662def7ee5e8c69e3c1',
'e6318f7c9186ec2a14242f2df3ef7da6d78326df5bae099d6b98bf7a28fc6878'
],
[
'a812c11300d5851f714602fe22b55dc83ca2fbe900492724e7be568795eb4626',
'de76ad255a91bdd7bfc2088af9df29809cd7eb0ed826f86d1c1509eba434d942'
],
[
'58f34328cba4b2c8a80826a462087b2e01d56c13682a88eead2ca8681f0de7bc',
'2a661a7d05ee45f50863c39b6b61a2850dbfa79ad618d88dd7c9f6f29a3c5e00'
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[
'a970b0bfc8f384f68eca6d745003a1c57efeb9cb88cc2b1238b582dcf7470fb7',
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],
[
'a4ac3fd8f96a7cfacc5c9636fe8309473288436a66bc955110960ea6374020ba',
'42220fdd26609439c22a22fd413a88682792202dc479125f9d0ebe07a42279a'
],
[
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],
[
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],
[
'd88e2edb9a43a750809c23662a1d49dd1451322ca3021cd2e9b319a41a8fea72',
'bf40c79fd1a16b0ec952544c77b84143c24579cc9eaa64fcb9c78e59f5b06251'
],
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],
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],
[
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],
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],
[
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],
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],
[
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],
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'd8d4ee4e3c52e9173ca9800a87b7b8ee299d67ea69d91c14a623439c6375777f',
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],
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],
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],
[
'5ea7171204ca961a2bd334b4cf46a4ce4b9a6ff8cbe95ba5ce7fe90641aca8b2',
'52592f46c9f47a716c7eb1d4951a8a60bc1ca40639deb74b514211151c64b7f0'
],
[
'ec5df2808e4168a8a674c2e61dfa896ffeb2aca380f2ecfbb2e4169ae8155898',
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],
[
'dd23397e19efda2dac072dd6bba6656991275be3abb00ddf617ce403babe4b3a',
'190e2cb733468ea91d33635c4f8e129e4ec35e495527237219993725f58b3644'
],
[
'2c90ddcb9979bdf37f3a36cf8d48c28e4b2cc114885193d73c1384ab5ce7dc84',
'a3336af807aab976b296fde82ed04026e48da7765ffe2ba2287ab108286b0e8d'
],
[
'ea52f14e4bc0b3e7e34de04ac50c17d44a38a7262757f68e3f45362692ab3353',
'85ab6f117a3c534b7f17cd2bc7851dcf1b089238cb42c3d0a8a5575ac9ac839'
],
[
'f540a6aecddc61eb4ca6bc43bfaf7268f2776f6d23b3b02bcf5baefbf8710521',
'c22ed7802414cc3fa241d7d1f855a46fa1b2db83105534afbedc2c016b69e19f'
],
[
'2930bf115a732f75a16505bccf2ac06f7c22691decd76ab16dfa18fafd2d21b',
'ca5f208a027f8a75de6aac24d967b74a4baf0bd4c46a7fd44d58aeecbe8c7e99'
]
]
]
});

3

package.json
{
"name": "elliptic",
"version": "0.1.0",
"version": "0.2.0",
"description": "EC cryptography",

@@ -26,4 +26,5 @@ "main": "lib/elliptic.js",

"devDependencies": {
"browserify": "^3.44.2",
"mocha": "^1.18.2"
}
}

17

test/bn-test.js

@@ -125,2 +125,19 @@ var assert = require('assert');

});
it('should support binc', function() {
assert.equal(elliptic.bn(0).binc(1).toString(16), '2');
assert.equal(elliptic.bn(2).binc(1).toString(16), '4');
assert.equal(elliptic.bn(0xffffff).binc(1).toString(16), '1000001');
});
it('should support montgomery operations', function() {
var p192 = elliptic.bn(
'fffffffffffffffffffffffffffffffeffffffffffffffff',
16);
var m = elliptic.bn.mont(p192);
var a = elliptic.bn(123);
var b = elliptic.bn(231);
var c = a.toMont(m).montMul(b.toMont(m)).fromMont();
assert(c.cmp(a.mul(b).mod(p192)) === 0);
});
});

4

test/curve-test.js

@@ -12,5 +12,3 @@ var assert = require('assert');

var p = curve.point(
'18',
'16');
var p = curve.point('18', '16');
assert(p.validate());

@@ -17,0 +15,0 @@ assert(p.dbl().validate());

.npmignore

Sorry, the diff of this file is not supported yet

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