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elliptic - npm Package Compare versions
Comparing version 0.13.2 to 0.14.0
| var elliptic = exports; | ||
| elliptic.version = require('../package.json').version; | ||
| elliptic.utils = require('./elliptic/utils'); | ||
@@ -4,0 +5,0 @@ elliptic.rand = require('./elliptic/rand'); |
@@ -14,7 +14,165 @@ var assert = require('assert'); | ||
| this.mOne = new bn(1).toRed(this.red); | ||
| this.n = conf.n && new bn(conf.n, 16); | ||
| this.zeroA = this.a.cmpn(0) === 0; | ||
| this.zeroA = this.a.fromRed().cmpn(0) === 0; | ||
| this.threeA = this.a.fromRed().sub(this.p).cmpn(-3) === 0; | ||
| // If the curve is endomorphic, precalculate beta and lambda | ||
| this.endo = this._getEndomorphism(conf); | ||
| // Temporary arrays | ||
| this.t1 = new Array(4); | ||
| this.t2 = new Array(4); | ||
| this.t3 = new Array(4); | ||
| this.t4 = new Array(4); | ||
| this.t5 = new Array(4); | ||
| this.t6 = new Array(4); | ||
| } | ||
| module.exports = Curve; | ||
| Curve.prototype._getEndomorphism = function _getEndomorphism(conf) { | ||
| // No efficient endomorphism | ||
| if (!this.zeroA || !this.n || this.p.modn(3) !== 1) | ||
| return; | ||
| // Compute beta and lambda, that lambda * P = (beta * Px; Py) | ||
| var beta = conf.beta ? new bn(conf.beta, 16).toRed(this.red) : | ||
| this._getEndoRoot(this.p).toRed(this.red); | ||
| var lambda = conf.lambda ? new bn(conf.lambda, 16) : | ||
| this.n && this._getEndoRoot(this.n); | ||
| // Get basis vectors, used for balanced length-two representation | ||
| var basis; | ||
| if (conf.basis) { | ||
| basis = conf.basis.map(function(vec) { | ||
| return { | ||
| a: new bn(vec.a, 16), | ||
| b: new bn(vec.b, 16), | ||
| }; | ||
| }); | ||
| } else { | ||
| basis = this._getEndoBasis(lambda); | ||
| } | ||
| return { | ||
| beta: beta, | ||
| lambda: lambda, | ||
| basis: basis | ||
| }; | ||
| }; | ||
| Curve.prototype._getEndoRoot = function _getEndoRoot(num) { | ||
| // Need to find smallest root for x^2 + x + 1 in F | ||
| // Lambda = (-1 +- Sqrt(-3)) / 2 | ||
| // | ||
| var red = num === this.p ? this.red : bn.mont(num); | ||
| var tinv = new bn(2).toRed(red).redInvm(); | ||
| var ntinv = tinv.redNeg(); | ||
| var one = new bn(1).toRed(red); | ||
| var s = new bn(3).toRed(red).redNeg().redSqrt().redMul(tinv); | ||
| // XXX: This seems to be a bit wrong... It should verify that | ||
| // lambda and beta are actually from one endomorphism | ||
| var l1 = ntinv.redAdd(s).fromRed(); | ||
| var l2 = ntinv.redSub(s).fromRed(); | ||
| if (l1.cmp(l2) < 0) | ||
| return l1; | ||
| else | ||
| return l2; | ||
| }; | ||
| Curve.prototype._getEndoBasis = function _getEndoBasis(lambda) { | ||
| // aprxSqrt >= sqrt(this.n) | ||
| var aprxSqrt = this.n.shrn(Math.floor(this.n.bitLength() / 2)); | ||
| // 3.74 | ||
| // Run EGCD, until r(L + 1) < aprxSqrt | ||
| var u = lambda; | ||
| var v = this.n.clone(); | ||
| var x1 = new bn(1); | ||
| var y1 = new bn(0); | ||
| var x2 = new bn(0); | ||
| var y2 = new bn(1); | ||
| // NOTE: all vectors are roots of: a + b * lambda = 0 (mod n) | ||
| var a0; | ||
| var b0; | ||
| // First vector | ||
| var a1; | ||
| var b1; | ||
| // Second vector | ||
| var a2; | ||
| var b2; | ||
| var prevR; | ||
| var i = 0; | ||
| while (u.cmpn(0) !== 0) { | ||
| var q = v.div(u); | ||
| var r = v.sub(q.mul(u)); | ||
| var x = x2.sub(q.mul(x1)); | ||
| var y = y2.sub(q.mul(y1)); | ||
| if (!a1 && r.cmp(aprxSqrt) < 0) { | ||
| a0 = prevR.neg(); | ||
| b0 = x1; | ||
| a1 = r.neg(); | ||
| b1 = x; | ||
| } else if (a1 && ++i === 2) { | ||
| break; | ||
| } | ||
| prevR = r; | ||
| v = u; | ||
| u = r; | ||
| x2 = x1; | ||
| x1 = x; | ||
| y2 = y1; | ||
| y1 = y; | ||
| } | ||
| a2 = r.neg(); | ||
| b2 = x; | ||
| var len1 = a1.sqr().add(b1.sqr()); | ||
| var len2 = a2.sqr().add(b2.sqr()); | ||
| if (len2.cmp(len1) >= 0) { | ||
| a2 = a0; | ||
| b2 = b0; | ||
| } | ||
| // Normalize signs | ||
| if (a1.sign) { | ||
| a1 = a1.neg(); | ||
| b1 = b1.neg(); | ||
| } | ||
| if (a2.sign) { | ||
| a2 = a2.neg(); | ||
| b2 = b2.neg(); | ||
| } | ||
| return [ | ||
| { a: a1, b: b1 }, | ||
| { a: a2, b: b2 } | ||
| ]; | ||
| }; | ||
| Curve.prototype._endoSplit = function _endoSplit(k) { | ||
| var basis = this.endo.basis; | ||
| var v1 = basis[0]; | ||
| var v2 = basis[1]; | ||
| var c1 = v2.b.mul(k).divRound(this.n); | ||
| var c2 = v1.b.neg().mul(k).divRound(this.n); | ||
| var p1 = c1.mul(v1.a); | ||
| var p2 = c2.mul(v2.a); | ||
| var q1 = c1.mul(v1.b); | ||
| var q2 = c2.mul(v2.b); | ||
| // Calculate answer | ||
| var k1 = k.sub(p1).sub(p2); | ||
| var k2 = q1.add(q2).neg(); | ||
| return { k1: k1, k2: k2 }; | ||
| }; | ||
| Curve.prototype.point = function point(x, y, isRed) { | ||
@@ -29,3 +187,3 @@ return new Point(this, x, y, isRed); | ||
| var y2 = x.redSqr().redMul(x).redAdd(x.redMul(this.a)).redAdd(this.b); | ||
| var y2 = x.redSqr().redMul(x).redIAdd(x.redMul(this.a)).redIAdd(this.b); | ||
| var y = y2.redSqrt(); | ||
@@ -62,16 +220,31 @@ | ||
| Curve.prototype._nafMul = function _nafMul(p, k) { | ||
| Curve.prototype._fixedNafMul = function _fixedNafMul(p, k) { | ||
| var doubles = p._getDoubles(); | ||
| var naf = getNAF(k, 2); | ||
| var acc = this.jpoint(null, 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.mixedAdd(q); | ||
| else if (z === -1) | ||
| acc = acc.mixedAdd(q.neg()); | ||
| else | ||
| continue; | ||
| var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1); | ||
| I /= 3; | ||
| // Translate into more windowed form | ||
| var repr = []; | ||
| for (var j = 0; j < naf.length; j += doubles.step) { | ||
| var nafW = 0; | ||
| for (var k = j + doubles.step - 1; k >= j; k--) | ||
| nafW = (nafW << 1) + naf[k]; | ||
| repr.push(nafW); | ||
| } | ||
| return acc.toP(); | ||
| var a = this.jpoint(null, null, null); | ||
| var b = this.jpoint(null, null, null); | ||
| for (var i = I; i > 0; i--) { | ||
| for (var j = 0; j < repr.length; j++) { | ||
| var nafW = repr[j]; | ||
| if (nafW === i) | ||
| b = b.mixedAdd(doubles.points[j]); | ||
| else if (nafW === -i) | ||
| b = b.mixedAdd(doubles.points[j].neg()); | ||
| } | ||
| a = a.add(b); | ||
| } | ||
| return a.toP(); | ||
| }; | ||
@@ -81,13 +254,11 @@ | ||
| 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); | ||
| } | ||
| var nafPoints = p._getNAFPoints(w); | ||
| w = nafPoints.wnd; | ||
| var wnd = nafPoints.points; | ||
| // Get NAF form | ||
| var naf = getNAF(k, w); | ||
| // Add `this`*(N+1) for every w-NAF index | ||
@@ -124,2 +295,80 @@ var acc = this.jpoint(null, null, null); | ||
| Curve.prototype._wnafMulAdd = function _wnafMulAdd(points, coeffs) { | ||
| assert.equal(points.length, coeffs.length); | ||
| var len = points.length; | ||
| var wndWidth = this.t1; | ||
| var wnd = this.t2; | ||
| var naf = this.t3; | ||
| // Fill all arrays | ||
| var defW = 2; | ||
| var max = 0; | ||
| for (var i = 0; i < len; i++) { | ||
| var p = points[i]; | ||
| var nafPoints = p._getNAFPoints(defW); | ||
| wndWidth[i] = nafPoints.wnd; | ||
| wnd[i] = nafPoints.points; | ||
| naf[i] = getNAF(coeffs[i], nafPoints.wnd); | ||
| max = Math.max(naf[i].length, max); | ||
| } | ||
| var acc = this.jpoint(null, null, null); | ||
| var tmp = this.t4; | ||
| for (var i = max; i >= 0; i--) { | ||
| var k = 0; | ||
| while (i >= 0) { | ||
| var zero = true; | ||
| for (var j = 0; j < len; j++) { | ||
| tmp[j] = naf[j][i]; | ||
| if (tmp[j] !== 0) | ||
| zero = false; | ||
| } | ||
| if (!zero) | ||
| break; | ||
| k++; | ||
| i--; | ||
| } | ||
| if (i >= 0) | ||
| k++; | ||
| acc = acc.dblp(k); | ||
| if (i < 0) | ||
| break; | ||
| for (var j = 0; j < tmp.length; j++) { | ||
| var z = tmp[j]; | ||
| if (z > 0) | ||
| acc = acc.mixedAdd(wnd[j][(z - 1) >> 1]); | ||
| else if (z < 0) | ||
| acc = acc.mixedAdd(wnd[j][(-z - 1) >> 1].neg()); | ||
| } | ||
| } | ||
| return acc.toP(); | ||
| }; | ||
| Curve.prototype._endoWnafMulAdd = function _endoWnafMulAdd(points, coeffs) { | ||
| var npoints = this.t5; | ||
| var ncoeffs = this.t6; | ||
| for (var i = 0; i < points.length; i++) { | ||
| var split = this._endoSplit(coeffs[i]); | ||
| var p = points[i]; | ||
| var beta = p._getBeta(); | ||
| if (split.k1.sign) { | ||
| split.k1.sign = !split.k1.sign; | ||
| p = p.neg(true); | ||
| } | ||
| if (split.k2.sign) { | ||
| split.k2.sign = !split.k2.sign; | ||
| beta = beta.neg(true); | ||
| } | ||
| npoints[i * 2] = p; | ||
| npoints[i * 2 + 1] = beta; | ||
| ncoeffs[i * 2] = split.k1; | ||
| ncoeffs[i * 2 + 1] = split.k2; | ||
| } | ||
| return this._wnafMulAdd(npoints, ncoeffs); | ||
| }; | ||
| function Point(curve, x, y, isRed) { | ||
@@ -147,4 +396,2 @@ this.type = 'affine'; | ||
| this.precomputed = null; | ||
| this.precomputedW = null; | ||
| this.precomputedW = null; | ||
| } | ||
@@ -156,14 +403,16 @@ | ||
| Point.prototype.precompute = function precompute(power) { | ||
| Point.prototype.toJSON = function toJSON() { | ||
| 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); | ||
| } | ||
| }; | ||
| return [ this.x, this.y ]; | ||
| Point.prototype.toJSON = function toJSON() { | ||
| return this.precomputed ? [ this.x, this.y, this.precomputed ] : | ||
| [ this.x, this.y ]; | ||
| return [ this.x, this.y, this.precomputed && { | ||
| doubles: this.precomputed.doubles && { | ||
| step: this.precomputed.doubles.step, | ||
| points: this.precomputed.doubles.points.slice(1) | ||
| }, | ||
| naf: this.precomputed.naf && { | ||
| wnd: this.precomputed.naf.wnd, | ||
| points: this.precomputed.naf.points.slice(1) | ||
| } | ||
| }]; | ||
| }; | ||
@@ -177,8 +426,100 @@ | ||
| return res; | ||
| res.precomputed = obj[2].map(function(obj) { | ||
| function obj2point(obj) { | ||
| return curve.point(obj[0], obj[1], red); | ||
| }); | ||
| } | ||
| var pre = obj[2]; | ||
| res.precomputed = { | ||
| beta: null, | ||
| doubles: pre.doubles && { | ||
| step: pre.doubles.step, | ||
| points: [ res ].concat(pre.doubles.points.map(obj2point)) | ||
| }, | ||
| naf: pre.naf && { | ||
| wnd: pre.naf.wnd, | ||
| points: [ res ].concat(pre.naf.points.map(obj2point)) | ||
| } | ||
| }; | ||
| return res; | ||
| }; | ||
| Point.prototype.precompute = function precompute(power, order, _beta) { | ||
| if (this.precomputed) | ||
| return this; | ||
| var precomputed = { | ||
| doubles: null, | ||
| naf: null, | ||
| beta: null | ||
| }; | ||
| precomputed.naf = this._getNAFPoints(8); | ||
| precomputed.beta = this._getBeta(); | ||
| this.precomputed = precomputed; | ||
| return this; | ||
| }; | ||
| Point.prototype._getDoubles = function _getDoubles(step, power) { | ||
| if (this.precomputed && this.precomputed.doubles) | ||
| return this.precomputed.doubles; | ||
| var doubles = [ this ]; | ||
| var acc = this; | ||
| for (var i = 0; i < power; i += step) { | ||
| for (var j = 0; j < step; j++) | ||
| acc = acc.dbl(); | ||
| doubles.push(acc); | ||
| } | ||
| return { | ||
| step: step, | ||
| points: doubles | ||
| }; | ||
| }; | ||
| Point.prototype._getNAFPoints = function _getNAFPoints(wnd) { | ||
| if (this.precomputed && this.precomputed.naf) | ||
| return this.precomputed.naf; | ||
| var res = [ this ]; | ||
| var max = (1 << (wnd - 1)) - 1; | ||
| var dbl = max === 1 ? null : this.dbl(); | ||
| for (var i = 1; i < max; i++) | ||
| res[i] = res[i - 1].add(dbl); | ||
| return { | ||
| wnd: wnd, | ||
| points: res | ||
| }; | ||
| }; | ||
| Point.prototype._getBeta = function _getBeta() { | ||
| if (!this.curve.endo) | ||
| return; | ||
| var pre = this.precomputed; | ||
| if (pre && pre.beta) | ||
| return pre.beta; | ||
| var beta = this.curve.point(this.x.redMul(this.curve.endo.beta), this.y); | ||
| if (pre) { | ||
| var curve = this.curve; | ||
| function endoMul(p) { | ||
| return curve.point(p.x.redMul(curve.endo.beta), p.y); | ||
| } | ||
| pre.beta = beta; | ||
| beta.precomputed = { | ||
| beta: null, | ||
| naf: pre.naf && { | ||
| wnd: pre.naf.wnd, | ||
| points: pre.naf.points.map(endoMul) | ||
| }, | ||
| doubles: pre.doubles && { | ||
| step: pre.doubles.step, | ||
| points: pre.doubles.points.map(endoMul) | ||
| } | ||
| }; | ||
| } | ||
| return beta; | ||
| }; | ||
| Point.prototype.inspect = function inspect() { | ||
@@ -188,4 +529,3 @@ if (this.isInfinity()) | ||
| return '<EC Point x: ' + this.x.fromRed().toString(16) + | ||
| ' y: ' + this.y.fromRed().toString(16) + | ||
| ' pc: ' + (this.precomputed && this.precomputed.length || 0) + '>'; | ||
| ' y: ' + this.y.fromRed().toString(16) + '>'; | ||
| }; | ||
@@ -227,9 +567,2 @@ | ||
| 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; | ||
| } | ||
@@ -325,4 +658,4 @@ // 2P = O | ||
| if (this.precomputed && this.precomputed.length) | ||
| return this.curve._nafMul(this, k); | ||
| if (this.precomputed && this.precomputed.doubles) | ||
| return this.curve._fixedNafMul(this, k); | ||
| else | ||
@@ -406,135 +739,7 @@ return this.curve._wnafMul(this, k); | ||
| Point.prototype._wnafMulAdd = function _wnafMulAdd(k1, p2, k2) { | ||
| var a = this; | ||
| var b = p2; | ||
| assert.equal(b.type, 'affine'); | ||
| var w = { | ||
| a: 8, | ||
| b: 4 | ||
| }; | ||
| var naf = { | ||
| a: getNAF(k1, w.a), | ||
| b: getNAF(k2, w.b) | ||
| }; | ||
| // Precompute window | ||
| var dbl = { | ||
| a: a.dbl(), | ||
| b: b.dbl() | ||
| }; | ||
| var wnd = { | ||
| a: [ a ], | ||
| b: [ b ] | ||
| }; | ||
| if (a.precomputed && a.precomputed.length) { | ||
| if (a.precomputedW) { | ||
| wnd.a = wnd.a.concat(a.precomputedW); | ||
| } else { | ||
| for (var i = 1; i < (1 << (w.a - 1)); i++) | ||
| wnd.a[i] = wnd.a[i - 1].add(dbl.a); | ||
| a.precomputedW = wnd.a.slice(1); | ||
| } | ||
| } else { | ||
| for (var i = 1; i < (1 << (w.a - 1)); i++) | ||
| wnd.a[i] = wnd.a[i - 1].add(dbl.a); | ||
| } | ||
| for (var i = 1; i < (1 << (w.b - 1)); i++) | ||
| wnd.b[i] = wnd.b[i - 1].add(dbl.b); | ||
| // Add `this`*(N+1) for every w-NAF index | ||
| var acc = this.curve.jpoint(null, null, null); | ||
| for (var i = Math.max(naf.b.length - 1, naf.a.length - 1); i >= 0; i--) { | ||
| var k = 0; | ||
| var za = naf.a[i] | 0; | ||
| var zb = naf.b[i] | 0; | ||
| while (i >= 0 && za === 0 && zb === 0) { | ||
| k++; | ||
| i--; | ||
| var za = naf.a[i] | 0; | ||
| var zb = naf.b[i] | 0; | ||
| } | ||
| if (i >= 0) | ||
| k++; | ||
| acc = acc.dblp(k); | ||
| if (i < 0) | ||
| break; | ||
| if (za > 0) | ||
| acc = acc.mixedAdd(wnd.a[(za - 1) >> 1]); | ||
| else if (za < 0) | ||
| acc = acc.mixedAdd(wnd.a[(-za - 1) >> 1].neg()); | ||
| if (zb > 0) | ||
| acc = acc.mixedAdd(wnd.b[(zb - 1) >> 1]); | ||
| else if (zb < 0) | ||
| acc = acc.mixedAdd(wnd.b[(-zb - 1) >> 1].neg()); | ||
| } | ||
| return acc.toP(); | ||
| }; | ||
| Point.prototype._naiveMulAdd = function _naiveMulAdd(k1, p2, k2) { | ||
| var a = this; | ||
| var b = p2; | ||
| assert.equal(b.type, 'affine'); | ||
| // Precompute window | ||
| var w = 4; | ||
| var mask = (1 << w) - 1; | ||
| var wnd = { | ||
| a: [ a ], | ||
| b: [ b ] | ||
| }; | ||
| if (a.precomputed && a.precomputed.length) { | ||
| if (a.precomputedN) { | ||
| wnd.a = a.precomputedN; | ||
| } else { | ||
| for (var i = 1; i < (1 << w) - 1; i++) | ||
| wnd.a[i] = wnd.a[i - 1].add(a); | ||
| a.precomputedN = wnd.a; | ||
| } | ||
| } else { | ||
| for (var i = 1; i < (1 << w) - 1; i++) | ||
| wnd.a[i] = wnd.a[i - 1].add(a); | ||
| } | ||
| for (var i = 1; i < (1 << w) - 1; i++) | ||
| wnd.b[i] = wnd.b[i - 1].add(b); | ||
| // Compute binary form | ||
| var bform = { | ||
| a: [], | ||
| b: [] | ||
| }; | ||
| k1 = k1.clone(); | ||
| k2 = k2.clone(); | ||
| while (k1.cmpn(0) !== 0) { | ||
| bform.a.push(k1.andln(mask)); | ||
| k1.ishrn(w); | ||
| } | ||
| while (k2.cmpn(0) !== 0) { | ||
| bform.b.push(k2.andln(mask)); | ||
| k2.ishrn(w); | ||
| } | ||
| var acc = this.curve.jpoint(null, null, null); | ||
| for (var i = Math.max(bform.a.length, bform.b.length) - 1; i >= 0; ) { | ||
| var k = 0; | ||
| do { | ||
| var za = bform.a[i] | 0; | ||
| var zb = bform.b[i] | 0; | ||
| k++; | ||
| i--; | ||
| } while (i >= 0 && za === 0 && zb === 0); | ||
| acc = acc.dblp(k * w); | ||
| if (za !== 0) | ||
| acc = acc.mixedAdd(wnd.a[za - 1]); | ||
| if (zb !== 0) | ||
| acc = acc.mixedAdd(wnd.b[zb - 1]); | ||
| } | ||
| return acc.toP(); | ||
| }; | ||
| Point.prototype.mulAdd = function mulAdd(k1, p2, k2) { | ||
| return this._wnafMulAdd(k1, p2, k2); | ||
| if (this.curve.endo) | ||
| return this.curve._endoWnafMulAdd([ this, p2 ], [ k1, k2 ]); | ||
| else | ||
| return this.curve._wnafMulAdd([ this, p2 ], [ k1, k2 ]); | ||
| }; | ||
@@ -548,7 +753,24 @@ | ||
| Point.prototype.neg = function neg() { | ||
| Point.prototype.neg = function neg(_precompute) { | ||
| if (this.inf) | ||
| return this; | ||
| return this.curve.point(this.x, this.y.redNeg()); | ||
| var res = this.curve.point(this.x, this.y.redNeg()); | ||
| if (_precompute && this.precomputed) { | ||
| var pre = this.precomputed; | ||
| function negate(p) { | ||
| return p.neg(); | ||
| } | ||
| res.precomputed = { | ||
| naf: pre.naf && { | ||
| wnd: pre.naf.wnd, | ||
| points: pre.naf.points.map(negate) | ||
| }, | ||
| doubles: pre.doubles && { | ||
| step: pre.doubles.step, | ||
| step: pre.doubles.points.map(negate) | ||
| } | ||
| }; | ||
| } | ||
| return res; | ||
| }; | ||
@@ -683,3 +905,3 @@ | ||
| if (this.curve.zeroA) { | ||
| if (this.curve.zeroA || this.curve.threeA) { | ||
| var r = this; | ||
@@ -691,2 +913,4 @@ for (var i = 0; i < pow; i++) | ||
| // 1M + 2S + 1A + N * (4S + 5M + 8A) | ||
| // N = 1 => 6M + 6S + 9A | ||
| var a = this.curve.a; | ||
@@ -731,2 +955,4 @@ var tinv = this.curve.tinv; | ||
| return this._zeroDbl(); | ||
| else if (this.curve.threeA) | ||
| return this._threeDbl(); | ||
| else | ||
@@ -802,2 +1028,61 @@ return this._dbl(); | ||
| JPoint.prototype._threeDbl = function _threeDbl() { | ||
| // Z = 1 | ||
| if (this.zOne) { | ||
| // http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-mdbl-2007-bl | ||
| // 1M + 5S + 15A | ||
| // XX = X1^2 | ||
| var xx = this.x.redSqr(); | ||
| // YY = Y1^2 | ||
| var yy = this.y.redSqr(); | ||
| // YYYY = YY^2 | ||
| var yyyy = yy.redSqr(); | ||
| // S = 2 * ((X1 + YY)^2 - XX - YYYY) | ||
| var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); | ||
| s = s.redIAdd(s); | ||
| // M = 3 * XX + a | ||
| var m = xx.redAdd(xx).redIAdd(xx).redIAdd(this.curve.a); | ||
| // T = M^2 - 2 * S | ||
| var t = m.redSqr().redISub(s).redISub(s); | ||
| // X3 = T | ||
| var nx = t; | ||
| // Y3 = M * (S - T) - 8 * YYYY | ||
| var yyyy8 = yyyy.redIAdd(yyyy); | ||
| yyyy8 = yyyy8.redIAdd(yyyy8); | ||
| yyyy8 = yyyy8.redIAdd(yyyy8); | ||
| var ny = m.redMul(s.redISub(t)).redISub(yyyy8); | ||
| // Z3 = 2 * Y1 | ||
| var nz = this.y.redAdd(this.y); | ||
| } else { | ||
| // http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b | ||
| // 3M + 5S | ||
| // delta = Z1^2 | ||
| var delta = this.z.redSqr(); | ||
| // gamma = Y1^2 | ||
| var gamma = this.y.redSqr(); | ||
| // beta = X1 * gamma | ||
| var beta = this.x.redMul(gamma); | ||
| // alpha = 3 * (X1 - delta) * (X1 + delta) | ||
| var alpha = this.x.redSub(delta).redMul(this.x.redAdd(delta)); | ||
| alpha = alpha.redAdd(alpha).redIAdd(alpha); | ||
| // X3 = alpha^2 - 8 * beta | ||
| var beta4 = beta.redIAdd(beta); | ||
| beta4 = beta4.redIAdd(beta4); | ||
| var beta8 = beta4.redAdd(beta4); | ||
| var nx = alpha.redSqr().redISub(beta8); | ||
| // Z3 = (Y1 + Z1)^2 - gamma - delta | ||
| var nz = this.y.redAdd(this.z).redSqr().redISub(gamma).redISub(delta); | ||
| // Y3 = alpha * (4 * beta - X3) - 8 * gamma^2 | ||
| var ggamma8 = gamma.redSqr(); | ||
| ggamma8 = ggamma8.redIAdd(ggamma8); | ||
| ggamma8 = ggamma8.redIAdd(ggamma8); | ||
| ggamma8 = ggamma8.redIAdd(ggamma8); | ||
| var ny = alpha.redMul(beta4.redISub(nx)).redISub(ggamma8); | ||
| } | ||
| return this.curve.jpoint(nx, ny, nz); | ||
| }; | ||
| JPoint.prototype._dbl = function _dbl() { | ||
@@ -804,0 +1089,0 @@ var a = this.curve.a; |
@@ -18,7 +18,7 @@ var assert = require('assert'); | ||
| this.curve = options.curve.curve; | ||
| // Order of the point | ||
| this.n = options.curve.n; | ||
| // Point on curve | ||
| this.g = options.curve.g; | ||
| this.g.precompute(options.curve.n.bitLength()); | ||
| // Order of the point | ||
| this.n = options.curve.n; | ||
| this.g.precompute(options.curve.n.bitLength() + 1, this.n); | ||
| // Hash for function for DRBG | ||
@@ -105,3 +105,3 @@ this.hash = options.hash || options.curve.hash; | ||
| var s = k.invm(this.n).mul(msg.add(r.mul(key.getPrivate()))).mod(this.n); | ||
| var s = k.invm(this.n).mul(r.mul(key.getPrivate()).iadd(msg)).mod(this.n); | ||
| if (s.cmpn(0) === 0) | ||
@@ -108,0 +108,0 @@ continue; |
@@ -36,3 +36,3 @@ var nist = exports; | ||
| defineCurve('p192', { | ||
| prime: null, | ||
| prime: 'p192', | ||
| p: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff', | ||
@@ -51,3 +51,3 @@ a: 'ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc', | ||
| defineCurve('p224', { | ||
| prime: null, | ||
| prime: 'p224', | ||
| p: 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001', | ||
@@ -88,3 +88,16 @@ a: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe', | ||
| // Point and precomputed 2^N powers of it | ||
| // Precomputed endomorphism | ||
| beta: '7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee', | ||
| lambda: '5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72', | ||
| basis: [ | ||
| { | ||
| a: '3086d221a7d46bcde86c90e49284eb15', | ||
| b: '-e4437ed6010e88286f547fa90abfe4c3' | ||
| }, | ||
| { | ||
| a: '114ca50f7a8e2f3f657c1108d9d44cfd8', | ||
| b: '3086d221a7d46bcde86c90e49284eb15' | ||
| } | ||
| ], | ||
| gRed: false, | ||
@@ -94,1029 +107,783 @@ g: [ | ||
| '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8', | ||
| [ | ||
| [ | ||
| 'c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5', | ||
| '1ae168fea63dc339a3c58419466ceaeef7f632653266d0e1236431a950cfe52a' | ||
| ], | ||
| [ | ||
| 'e493dbf1c10d80f3581e4904930b1404cc6c13900ee0758474fa94abe8c4cd13', | ||
| '51ed993ea0d455b75642e2098ea51448d967ae33bfbdfe40cfe97bdc47739922' | ||
| ], | ||
| [ | ||
| '2f01e5e15cca351daff3843fb70f3c2f0a1bdd05e5af888a67784ef3e10a2a01', | ||
| '5c4da8a741539949293d082a132d13b4c2e213d6ba5b7617b5da2cb76cbde904' | ||
| ], | ||
| [ | ||
| 'e60fce93b59e9ec53011aabc21c23e97b2a31369b87a5ae9c44ee89e2a6dec0a', | ||
| 'f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821' | ||
| ], | ||
| [ | ||
| 'd30199d74fb5a22d47b6e054e2f378cedacffcb89904a61d75d0dbd407143e65', | ||
| '95038d9d0ae3d5c3b3d6dec9e98380651f760cc364ed819605b3ff1f24106ab9' | ||
| ], | ||
| [ | ||
| 'bf23c1542d16eab70b1051eaf832823cfc4c6f1dcdbafd81e37918e6f874ef8b', | ||
| '5cb3866fc33003737ad928a0ba5392e4c522fc54811e2f784dc37efe66831d9f' | ||
| ], | ||
| [ | ||
| '34ff3be4033f7a06696c3d09f7d1671cbcf55cd700535655647077456769a24e', | ||
| '5d9d11623a236c553f6619d89832098c55df16c3e8f8b6818491067a73cc2f1a' | ||
| ], | ||
| [ | ||
| '8282263212c609d9ea2a6e3e172de238d8c39cabd5ac1ca10646e23fd5f51508', | ||
| '11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf' | ||
| ], | ||
| [ | ||
| '465370b287a79ff3905a857a9cf918d50adbc968d9e159d0926e2c00ef34a24d', | ||
| '35e531b38368c082a4af8bdafdeec2c1588e09b215d37a10a2f8fb20b33887f4' | ||
| ], | ||
| [ | ||
| '241febb8e23cbd77d664a18f66ad6240aaec6ecdc813b088d5b901b2e285131f', | ||
| '513378d9ff94f8d3d6c420bd13981df8cd50fd0fbd0cb5afabb3e66f2750026d' | ||
| ], | ||
| [ | ||
| '5d1bdb4ea172fa79fce4cc2983d8f8d9fc318b85f423de0dedcb63069b920471', | ||
| '2843826779379e2e794bb99438a2265679eb1e9996c56e7b70330666f7b83103' | ||
| ], | ||
| [ | ||
| '175e159f728b865a72f99cc6c6fc846de0b93833fd2222ed73fce5b551e5b739', | ||
| 'd3506e0d9e3c79eba4ef97a51ff71f5eacb5955add24345c6efa6ffee9fed695' | ||
| ], | ||
| [ | ||
| '423a013f03ff32d7a5ffbcc8e139c62130fdfeb5c6da121bce78049e46bc47d6', | ||
| 'b91ae00fe1e1d970a1179f7bbaf6b3c7720d8ec3524f009ed1236e6d8b548a34' | ||
| ], | ||
| [ | ||
| '111d6a45ac1fb90508907a7abcd6877649df662f3b3e2741302df6f78416824a', | ||
| '696911c478eaffbb90d48dbff065952f070008996daca4ca9a111d42108e9d0' | ||
| ], | ||
| [ | ||
| '4a4a6dc97ac7c8b8ad795dbebcb9dcff7290b68a5ef74e56ab5edde01bced775', | ||
| '529911b016631e72943ef9f739c0f4571de90cdb424742acb2bf8f68a78dd66d' | ||
| ], | ||
| [ | ||
| '363d90d447b00c9c99ceac05b6262ee053441c7e55552ffe526bad8f83ff4640', | ||
| '4e273adfc732221953b445397f3363145b9a89008199ecb62003c7f3bee9de9' | ||
| ], | ||
| [ | ||
| '4c1b9866ed9a7e9b553973c6c93b02bf0b62fb012edfb59dd2712a5caf92c541', | ||
| 'c1f792d320be8a0f7fbcb753ce56e69cc652ead7e43eb1ad72c4f3fdc68fe020' | ||
| ], | ||
| [ | ||
| 'a4083877ba83b12b529a2f3c0780b54e3233edbc1a28f135e0c8f28cbeaaf3d1', | ||
| '40e9f612feefbc79b8bf83d69361b3e22001e7576ed1ef90b12b534df0b254b9' | ||
| ], | ||
| [ | ||
| 'a804c641d28cc0b53a4e3e1a2f56c86f6e0d880a454203b98cd3db5a7940d33a', | ||
| '95be83252b2fa6d03dec2842c16047e81af18ca89cf736a943ce95fa6d46967a' | ||
| ], | ||
| [ | ||
| '8b4b5f165df3c2be8c6244b5b745638843e4a781a15bcd1b69f79a55dffdf80c', | ||
| '4aad0a6f68d308b4b3fbd7813ab0da04f9e336546162ee56b3eff0c65fd4fd36' | ||
| ], | ||
| [ | ||
| 'ed0c5ce4e13291718ce17c7ec83c611071af64ee417c997abb3f26714755e4be', | ||
| '221a9fc7bc2345bdbf3dad7f5a7ea68049d93925763ddab163f9fa6ea07bf42f' | ||
| ], | ||
| [ | ||
| 'faecb013c44ce694b3b15c3f83f1fae8e53254566e0552ced4b6e6c807cec8ab', | ||
| 'cc09b5e90e9ecb57fc2e02c6ec2fb13d9c32b286b85e2e2e8981dfd9ab155070' | ||
| ], | ||
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| '9bb8a132dcad2f2c8731a0b37cbcafdb3b2dd824f23cd3e07f64eae9ad1b1f7', | ||
| '945bb2b2afeee3b9b6f9dd284f863e850f54a840f4752d5364130627c3811c80' | ||
| ], | ||
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| '723cbaa6e5db996d6bf771c00bd548c7b700dbffa6c0e77bcb6115925232fcda', | ||
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| ], | ||
| [ | ||
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| ], | ||
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| ], | ||
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| ], | ||
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| ], | ||
| [ | ||
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| 'eb42415b95dc880dd25557345bc95b8df2445d00c3363e7df8649a72d35d420e' | ||
| ], | ||
| [ | ||
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| ], | ||
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| '9bacaa35481642bc41f463f7ec9780e5dec7adc508f740a17e9ea8e27a68be1d' | ||
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| [ | ||
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| '16c3540e8a51892e7fdcfd59e838299d0cc384a09fc0535f60be10f8338eb623' | ||
| ], | ||
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| '469f955d2afa61719530c5424f1c336848cf925d43bb8eaf30487d0c87fa243f' | ||
| ], | ||
| [ | ||
| '8e7bcd0bd35983a7719cca7764ca906779b53a043a9b8bcaeff959f43ad86047', | ||
| '10b7770b2a3da4b3940310420ca9514579e88e2e47fd68b3ea10047e8460372a' | ||
| ], | ||
| [ | ||
| '33b35baa195e729dc350f319996950df3bc15b8d3d0389e777d2808bf13f0351', | ||
| 'a58a0185640abf87f9464036248d52bcaa6560efbc889b702bc503cccb8d7418' | ||
| ], | ||
| [ | ||
| '374deeae22c93f955cb83ad2071f7e2256f6e109cad7bca6d71dc7b24414bb36', | ||
| '171165b64fcd4f9916032c06f806f7293828d66300e543217875bea98daf734a' | ||
| ], | ||
| [ | ||
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| '75d46efea3771e6e68abb89a13ad747ecf1892393dfc4f1b7004788c50374da8', | ||
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| ], | ||
| [ | ||
| '809a20c67d64900ffb698c4c825f6d5f2310fb0451c869345b7319f645605721', | ||
| '9e994980d9917e22b76b061927fa04143d096ccc54963e6a5ebfa5f3f8e286c1' | ||
| ], | ||
| [ | ||
| '1b38903a43f7f114ed4500b4eac7083fdefece1cf29c63528d563446f972c180', | ||
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| ] | ||
| ] | ||
| } | ||
| } | ||
| ] | ||
| }); |
| { | ||
| "name": "elliptic", | ||
| "version": "0.13.2", | ||
| "version": "0.14.0", | ||
| "description": "EC cryptography", | ||
@@ -30,5 +30,6 @@ "main": "lib/elliptic.js", | ||
| "dependencies": { | ||
| "bn.js": "^0.8.0", | ||
| "hash.js": "^0.2.0" | ||
| "bn.js": "^0.10.0", | ||
| "hash.js": "^0.2.0", | ||
| "uglify-js": "^2.4.13" | ||
| } | ||
| } |
@@ -40,3 +40,5 @@ var assert = require('assert'); | ||
| a: '0', | ||
| b: '7' | ||
| b: '7', | ||
| n: 'ffffffff ffffffff ffffffff fffffffe ' + | ||
| 'baaedce6 af48a03b bfd25e8c d0364141' | ||
| }); | ||
@@ -55,3 +57,18 @@ | ||
| 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); | ||
| assert.equal( | ||
| split.k1.add(split.k2.mul(curve.endo.lambda)).mod(curve.n).toString(16), | ||
| k.toString(16)); | ||
| }); | ||
| }); |
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Found 1 instance in 1 package
Fixed alerts
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Found 1 instance in 1 package
Improved metrics
- Lines of code
- increased by0.97%
2925
Worsened metrics
- Total package byte prevSize
- decreased by-92.97%
111814
- Dependency count
- increased by50%
3
- Number of package files
- decreased by-5%
19
Dependency changes
+ Addeduglify-js@^2.4.13
+ Addedalign-text@0.1.4(transitive)
+ Addedbn.js@0.10.1(transitive)
+ Addedcamelcase@1.2.1(transitive)
+ Addedcenter-align@0.1.3(transitive)
+ Addedcliui@2.1.0(transitive)
+ Addeddecamelize@1.2.0(transitive)
+ Addedis-buffer@1.1.6(transitive)
+ Addedkind-of@3.2.2(transitive)
+ Addedlazy-cache@1.0.4(transitive)
+ Addedlongest@1.0.1(transitive)
+ Addedrepeat-string@1.6.1(transitive)
+ Addedright-align@0.1.3(transitive)
+ Addedsource-map@0.5.7(transitive)
+ Addeduglify-js@2.8.29(transitive)
+ Addeduglify-to-browserify@1.0.2(transitive)
+ Addedwindow-size@0.1.0(transitive)
+ Addedwordwrap@0.0.2(transitive)
+ Addedyargs@3.10.0(transitive)
- Removedbn.js@0.8.1(transitive)
Updatedbn.js@^0.10.0