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elliptic - npm Package Compare versions

Comparing version 0.12.0 to 0.13.1

340

lib/elliptic/curve.js

@@ -7,8 +7,10 @@ var assert = require('assert');

this.p = new bn(conf.p, 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);
this.tinv = new bn(2).invm(this.p).toMont(this.mont);
this.mOne = new bn(1).toMont(this.mont);
// Use Montgomery, when there is no fast reduction for the prime
this.red = conf.prime ? bn.red(conf.prime) : bn.mont(this.p);
this.a = new bn(conf.a, 16).toRed(this.red);
this.b = new bn(conf.b, 16).toRed(this.red);
this.tinv = new bn(2).toRed(this.red).redInvm();
this.mOne = new bn(1).toRed(this.red);
this.zeroA = this.a.cmpn(0) === 0;

@@ -18,4 +20,4 @@ }

Curve.prototype.point = function point(x, y, isMont) {
return new Point(this, x, y, isMont);
Curve.prototype.point = function point(x, y, isRed) {
return new Point(this, x, y, isRed);
};

@@ -25,13 +27,13 @@

x = new bn(x, 16);
if (!x.mont)
x = x.toMont(this.mont);
if (!x.red)
x = x.toRed(this.red);
var y2 = x.montSqr().montMul(x).montAdd(x.montMul(this.a)).montAdd(this.b);
var y = y2.montSqrt();
var y2 = x.redSqr().redMul(x).redAdd(x.redMul(this.a)).redAdd(this.b);
var y = y2.redSqrt();
// XXX Is there any way to tell if the number is odd without converting it
// to non-mont form?
var isOdd = y.fromMont().isOdd();
// to non-red form?
var isOdd = y.fromRed().isOdd();
if (odd && !isOdd || !odd && isOdd)
y = y.montNeg();
y = y.redNeg();

@@ -45,4 +47,4 @@ return this.point(x, y);

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

@@ -57,5 +59,5 @@

var ax = this.a.montMul(x);
var rhs = x.montSqr().montMul(x).montIAdd(ax).montIAdd(this.b);
return y.montSqr().montISub(rhs).cmpn(0) === 0;
var ax = this.a.redMul(x);
var rhs = x.redSqr().redMul(x).redIAdd(ax).redIAdd(this.b);
return y.redSqr().redISub(rhs).cmpn(0) === 0;
};

@@ -123,3 +125,3 @@

function Point(curve, x, y, isMont) {
function Point(curve, x, y, isRed) {
this.type = 'affine';

@@ -134,11 +136,11 @@ this.curve = curve;

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);
// Force redgomery representation when loading from JSON
if (isRed) {
this.x.forceRed(this.curve.red);
this.y.forceRed(this.curve.red);
}
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.x.red)
this.x = this.x.toRed(this.curve.red);
if (!this.y.red)
this.y = this.y.toRed(this.curve.red);
this.inf = false;

@@ -169,10 +171,10 @@ }

Point.fromJSON = function fromJSON(curve, obj, mont) {
Point.fromJSON = function fromJSON(curve, obj, red) {
if (typeof obj === 'string')
obj = JSON.parse(obj);
var res = curve.point(obj[0], obj[1], mont);
var res = curve.point(obj[0], obj[1], red);
if (!obj[2])
return res;
res.precomputed = obj[2].map(function(obj) {
return curve.point(obj[0], obj[1], mont);
return curve.point(obj[0], obj[1], red);
});

@@ -185,4 +187,4 @@ return res;

return '<EC Point Infinity>';
return '<EC Point x: ' + this.x.fromMont().toString(16) +
' y: ' + this.y.fromMont().toString(16) +
return '<EC Point x: ' + this.x.fromRed().toString(16) +
' y: ' + this.y.fromRed().toString(16) +
' pc: ' + (this.precomputed && this.precomputed.length || 0) + '>';

@@ -216,5 +218,5 @@ };

var c = this.y.montSub(p.y).montMul(this.x.montSub(p.x).montInvm());
var nx = c.montSqr().montISub(this.x).montISub(p.x);
var ny = c.montMul(this.x.montSub(nx)).montISub(this.y);
var c = this.y.redSub(p.y).redMul(this.x.redSub(p.x).redInvm());
var nx = c.redSqr().redISub(this.x).redISub(p.x);
var ny = c.redMul(this.x.redSub(nx)).redISub(this.y);
return this.curve.point(nx, ny);

@@ -235,3 +237,3 @@ };

// 2P = O
var ys1 = this.y.montAdd(this.y);
var ys1 = this.y.redAdd(this.y);
if (ys1.cmpn(0) === 0)

@@ -242,8 +244,8 @@ return this.curve.point(null, null);

var x2 = this.x.montSqr();
var dyinv = ys1.montInvm();
var c = x2.montAdd(x2).montIAdd(x2).montIAdd(a).montMul(dyinv);
var x2 = this.x.redSqr();
var dyinv = ys1.redInvm();
var c = x2.redAdd(x2).redIAdd(x2).redIAdd(a).redMul(dyinv);
var nx = c.montSqr().montISub(this.x.montAdd(this.x));
var ny = c.montMul(this.x.montSub(nx)).montISub(this.y);
var nx = c.redSqr().redISub(this.x.redAdd(this.x));
var ny = c.redMul(this.x.redSub(nx)).redISub(this.y);
return this.curve.point(nx, ny);

@@ -253,7 +255,7 @@ };

Point.prototype.getX = function getX() {
return this.x.fromMont();
return this.x.fromRed();
};
Point.prototype.getY = function getY() {
return this.y.fromMont();
return this.y.fromRed();
};

@@ -551,3 +553,3 @@

return this.curve.point(this.x, this.y.montNeg());
return this.curve.point(this.x, this.y.redNeg());
};

@@ -575,8 +577,8 @@

}
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);
if (!this.x.red)
this.x = this.x.toRed(this.curve.red);
if (!this.y.red)
this.y = this.y.toRed(this.curve.red);
if (!this.z.red)
this.z = this.z.toRed(this.curve.red);

@@ -590,6 +592,6 @@ this.zOne = this.z === this.curve.mOne;

var zinv = this.z.montInvm();
var zinv2 = zinv.montSqr();
var ax = this.x.montMul(zinv2);
var ay = this.y.montMul(zinv2).montMul(zinv);
var zinv = this.z.redInvm();
var zinv2 = zinv.redSqr();
var ax = this.x.redMul(zinv2);
var ay = this.y.redMul(zinv2).redMul(zinv);

@@ -600,3 +602,3 @@ return this.curve.point(ax, ay);

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

@@ -614,11 +616,11 @@

// 12M + 4S + 7A
var pz2 = p.z.montSqr();
var z2 = this.z.montSqr();
var u1 = this.x.montMul(pz2);
var u2 = p.x.montMul(z2);
var s1 = this.y.montMul(pz2.montMul(p.z));
var s2 = p.y.montMul(z2.montMul(this.z));
var pz2 = p.z.redSqr();
var z2 = this.z.redSqr();
var u1 = this.x.redMul(pz2);
var u2 = p.x.redMul(z2);
var s1 = this.y.redMul(pz2.redMul(p.z));
var s2 = p.y.redMul(z2.redMul(this.z));
var h = u1.montSub(u2);
var r = s1.montSub(s2);
var h = u1.redSub(u2);
var r = s1.redSub(s2);
if (h.cmpn(0) === 0) {

@@ -631,9 +633,9 @@ if (r.cmpn(0) !== 0)

var h2 = h.montSqr();
var h3 = h2.montMul(h);
var v = u1.montMul(h2);
var h2 = h.redSqr();
var h3 = h2.redMul(h);
var v = u1.redMul(h2);
var nx = r.montSqr().montIAdd(h3).montISub(v).montISub(v);
var ny = r.montMul(v.montISub(nx)).montISub(s1.montMul(h3));
var nz = this.z.montMul(p.z).montMul(h);
var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v);
var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3));
var nz = this.z.redMul(p.z).redMul(h);

@@ -652,10 +654,10 @@ return this.curve.jpoint(nx, ny, nz);

var z2 = this.z.montSqr();
var z2 = this.z.redSqr();
var u1 = this.x;
var u2 = p.x.montMul(z2);
var u2 = p.x.redMul(z2);
var s1 = this.y;
var s2 = p.y.montMul(z2).montMul(this.z);
var s2 = p.y.redMul(z2).redMul(this.z);
var h = u1.montSub(u2);
var r = s1.montSub(s2);
var h = u1.redSub(u2);
var r = s1.redSub(s2);
if (h.cmpn(0) === 0) {

@@ -668,9 +670,9 @@ if (r.cmpn(0) !== 0)

var h2 = h.montSqr();
var h3 = h2.montMul(h);
var v = u1.montMul(h2);
var h2 = h.redSqr();
var h3 = h2.redMul(h);
var v = u1.redMul(h2);
var nx = r.montSqr().montIAdd(h3).montISub(v).montISub(v);
var ny = r.montMul(v.montISub(nx)).montISub(s1.montMul(h3));
var nz = this.z.montMul(h);
var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v);
var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3));
var nz = this.z.redMul(h);

@@ -701,20 +703,20 @@ return this.curve.jpoint(nx, ny, nz);

var jz = this.z;
var jz4 = jz.montSqr().montSqr();
var jz4 = jz.redSqr().redSqr();
// Reuse results
var jyd = jy.montAdd(jy);
var jyd = jy.redAdd(jy);
for (var i = 0; i < pow; i++) {
var jx2 = jx.montSqr();
var jyd2 = jyd.montSqr();
var jyd4 = jyd2.montSqr();
var c = jx2.montAdd(jx2).montIAdd(jx2).montIAdd(a.montMul(jz4));
var jx2 = jx.redSqr();
var jyd2 = jyd.redSqr();
var jyd4 = jyd2.redSqr();
var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4));
var t1 = jx.montMul(jyd2);
var nx = c.montSqr().montISub(t1.montAdd(t1));
var t2 = t1.montISub(nx);
var dny = c.montMul(t2);
dny = dny.montIAdd(dny).montISub(jyd4);
var nz = jyd.montMul(jz);
var t1 = jx.redMul(jyd2);
var nx = c.redSqr().redISub(t1.redAdd(t1));
var t2 = t1.redISub(nx);
var dny = c.redMul(t2);
dny = dny.redIAdd(dny).redISub(jyd4);
var nz = jyd.redMul(jz);
if (i + 1 < pow)
jz4 = jz4.montMul(jyd4);
jz4 = jz4.redMul(jyd4);

@@ -726,3 +728,3 @@ jx = nx;

return this.curve.jpoint(jx, jyd.montMul(tinv), jz);
return this.curve.jpoint(jx, jyd.redMul(tinv), jz);
};

@@ -747,19 +749,19 @@

// XX = X1^2
var xx = this.x.montSqr();
var xx = this.x.redSqr();
// YY = Y1^2
var yy = this.y.montSqr();
var yy = this.y.redSqr();
// YYYY = YY^2
var yyyy = yy.montSqr();
var yyyy = yy.redSqr();
// S = 2 * ((X1 + YY)^2 - XX - YYYY)
var s = this.x.montAdd(yy).montSqr().montISub(xx).montISub(yyyy);
s = s.montIAdd(s);
var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);
s = s.redIAdd(s);
// M = 3 * XX + a; a = 0
var m = xx.montAdd(xx).montIAdd(xx);
var m = xx.redAdd(xx).redIAdd(xx);
// T = M ^ 2 - 2*S
var t = m.montSqr().montISub(s).montISub(s);
var t = m.redSqr().redISub(s).redISub(s);
// 8 * YYYY
var yyyy8 = yyyy.montIAdd(yyyy);
yyyy8 = yyyy8.montIAdd(yyyy8);
yyyy8 = yyyy8.montIAdd(yyyy8);
var yyyy8 = yyyy.redIAdd(yyyy);
yyyy8 = yyyy8.redIAdd(yyyy8);
yyyy8 = yyyy8.redIAdd(yyyy8);

@@ -769,5 +771,5 @@ // X3 = T

// Y3 = M * (S - T) - 8 * YYYY
var ny = m.montMul(s.montISub(t)).montISub(yyyy8);
var ny = m.redMul(s.redISub(t)).redISub(yyyy8);
// Z3 = 2*Y1
var nz = this.y.montAdd(this.y);
var nz = this.y.redAdd(this.y);
} else {

@@ -778,27 +780,27 @@ // http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l

// A = X1^2
var a = this.x.montSqr();
var a = this.x.redSqr();
// B = Y1^2
var b = this.y.montSqr();
var b = this.y.redSqr();
// C = B^2
var c = b.montSqr();
var c = b.redSqr();
// D = 2 * ((X1 + B)^2 - A - C)
var d = this.x.montAdd(b).montSqr().montISub(a).montISub(c);
d = d.montIAdd(d);
var d = this.x.redAdd(b).redSqr().redISub(a).redISub(c);
d = d.redIAdd(d);
// E = 3 * A
var e = a.montAdd(a).montIAdd(a);
var e = a.redAdd(a).redIAdd(a);
// F = E^2
var f = e.montSqr();
var f = e.redSqr();
// 8 * C
var c8 = c.montIAdd(c);
c8 = c8.montIAdd(c8);
c8 = c8.montIAdd(c8);
var c8 = c.redIAdd(c);
c8 = c8.redIAdd(c8);
c8 = c8.redIAdd(c8);
// X3 = F - 2 * D
var nx = f.montISub(d).montISub(d);
var nx = f.redISub(d).redISub(d);
// Y3 = E * (D - X3) - 8 * C
var ny = e.montMul(d.montISub(nx)).montISub(c8);
var ny = e.redMul(d.redISub(nx)).redISub(c8);
// Z3 = 2 * Y1 * Z1
var nz = this.y.montMul(this.z);
nz = nz.montIAdd(nz);
var nz = this.y.redMul(this.z);
nz = nz.redIAdd(nz);
}

@@ -817,21 +819,21 @@

var jz = this.z;
var jz4 = jz.montSqr().montSqr();
var jz4 = jz.redSqr().redSqr();
var jx2 = jx.montSqr();
var jy2 = jy.montSqr();
var jx2 = jx.redSqr();
var jy2 = jy.redSqr();
var c = jx2.montAdd(jx2).montIAdd(jx2).montIAdd(a.montMul(jz4));
var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4));
var jxd4 = jx.montAdd(jx);
jxd4 = jxd4.montIAdd(jxd4);
var t1 = jxd4.montMul(jy2);
var nx = c.montSqr().montISub(t1.montAdd(t1));
var t2 = t1.montISub(nx);
var jxd4 = jx.redAdd(jx);
jxd4 = jxd4.redIAdd(jxd4);
var t1 = jxd4.redMul(jy2);
var nx = c.redSqr().redISub(t1.redAdd(t1));
var t2 = t1.redISub(nx);
var jyd8 = jy2.montSqr();
jyd8 = jyd8.montIAdd(jyd8);
jyd8 = jyd8.montIAdd(jyd8);
jyd8 = jyd8.montIAdd(jyd8);
var ny = c.montMul(t2).montISub(jyd8);
var nz = jy.montAdd(jy).montMul(jz);
var jyd8 = jy2.redSqr();
jyd8 = jyd8.redIAdd(jyd8);
jyd8 = jyd8.redIAdd(jyd8);
jyd8 = jyd8.redIAdd(jyd8);
var ny = c.redMul(t2).redISub(jyd8);
var nz = jy.redAdd(jy).redMul(jz);

@@ -849,41 +851,41 @@ return this.curve.jpoint(nx, ny, nz);

// XX = X1^2
var xx = this.x.montSqr();
var xx = this.x.redSqr();
// YY = Y1^2
var yy = this.y.montSqr();
var yy = this.y.redSqr();
// ZZ = Z1^2
var zz = this.z.montSqr();
var zz = this.z.redSqr();
// YYYY = YY^2
var yyyy = yy.montSqr();
var yyyy = yy.redSqr();
// M = 3 * XX + a * ZZ2; a = 0
var m = xx.montAdd(xx).montIAdd(xx);
var m = xx.redAdd(xx).redIAdd(xx);
// MM = M^2
var mm = m.montSqr();
var mm = m.redSqr();
// E = 6 * ((X1 + YY)^2 - XX - YYYY) - MM
var e = this.x.montAdd(yy).montSqr().montISub(xx).montISub(yyyy);
e = e.montIAdd(e);
e = e.montAdd(e).montIAdd(e);
e = e.montISub(mm);
var e = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);
e = e.redIAdd(e);
e = e.redAdd(e).redIAdd(e);
e = e.redISub(mm);
// EE = E^2
var ee = e.montSqr();
var ee = e.redSqr();
// T = 16*YYYY
var t = yyyy.montIAdd(yyyy);
t = t.montIAdd(t);
t = t.montIAdd(t);
t = t.montIAdd(t);
var t = yyyy.redIAdd(yyyy);
t = t.redIAdd(t);
t = t.redIAdd(t);
t = t.redIAdd(t);
// U = (M + E)^2 - MM - EE - T
var u = m.montIAdd(e).montSqr().montISub(mm).montISub(ee).montISub(t);
var u = m.redIAdd(e).redSqr().redISub(mm).redISub(ee).redISub(t);
// X3 = 4 * (X1 * EE - 4 * YY * U)
var yyu4 = yy.montMul(u);
yyu4 = yyu4.montIAdd(yyu4);
yyu4 = yyu4.montIAdd(yyu4);
var nx = this.x.montMul(ee).montISub(yyu4);
nx = nx.montIAdd(nx);
nx = nx.montIAdd(nx);
var yyu4 = yy.redMul(u);
yyu4 = yyu4.redIAdd(yyu4);
yyu4 = yyu4.redIAdd(yyu4);
var nx = this.x.redMul(ee).redISub(yyu4);
nx = nx.redIAdd(nx);
nx = nx.redIAdd(nx);
// Y3 = 8 * Y1 * (U * (T - U) - E * EE)
var ny = this.y.montMul(u.montMul(t.montISub(u)).montISub(e.montMul(ee)));
ny = ny.montIAdd(ny);
ny = ny.montIAdd(ny);
ny = ny.montIAdd(ny);
var ny = this.y.redMul(u.redMul(t.redISub(u)).redISub(e.redMul(ee)));
ny = ny.redIAdd(ny);
ny = ny.redIAdd(ny);
ny = ny.redIAdd(ny);
// Z3 = (Z1 + E)^2 - ZZ - EE
var nz = this.z.montAdd(e).montSqr().montISub(zz).montISub(ee);
var nz = this.z.redAdd(e).redSqr().redISub(zz).redISub(ee);

@@ -907,11 +909,11 @@ return this.curve.jpoint(nx, ny, nz);

// x1 * z2^2 == x2 * z1^2
var z2 = this.z.montSqr();
var pz2 = p.z.montSqr();
if (this.x.montMul(pz2).montISub(p.x.montMul(z2)).cmpn(0) !== 0)
var z2 = this.z.redSqr();
var pz2 = p.z.redSqr();
if (this.x.redMul(pz2).redISub(p.x.redMul(z2)).cmpn(0) !== 0)
return false;
// y1 * z2^3 == y2 * z1^3
var z3 = z2.montMul(this.z);
var pz3 = pz2.montMul(p.z);
return this.y.montMul(pz3).montISub(p.y.montMul(z3)).cmpn(0) === 0;
var z3 = z2.redMul(this.z);
var pz3 = pz2.redMul(p.z);
return this.y.redMul(pz3).redISub(p.y.redMul(z3)).cmpn(0) === 0;
};

@@ -918,0 +920,0 @@

@@ -10,3 +10,3 @@ var nist = exports;

this.curve = new elliptic.curve(options);
this.g = this.curve.pointFromJSON(options.g, options.gMont);
this.g = this.curve.pointFromJSON(options.g, options.gRed);
this.n = new bn(options.n, 16);

@@ -37,2 +37,3 @@ this.hash = options.hash;

defineCurve('p192', {
prime: null,
p: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff',

@@ -43,3 +44,3 @@ a: 'ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc',

hash: hash.sha256,
gMont: false,
gRed: false,
g: [

@@ -52,2 +53,3 @@ '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012',

defineCurve('p224', {
prime: null,
p: 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001',

@@ -58,3 +60,3 @@ a: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe',

hash: hash.sha256,
gMont: false,
gRed: false,
g: [

@@ -67,2 +69,3 @@ 'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21',

defineCurve('p256', {
prime: null,
p: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff',

@@ -73,3 +76,3 @@ a: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc',

hash: hash.sha256,
gMont: false,
gRed: false,
g: [

@@ -82,2 +85,3 @@ '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296',

defineCurve('secp256k1', {
prime: 'k256',
p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f',

@@ -90,1033 +94,1031 @@ a: '0',

// Point and precomputed 2^N powers of it in Montgomery representation
// x: '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',
// y: '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',
gMont :true,
// Point and precomputed 2^N powers of it
gRed: false,
g: [
"981e643e9089f48979f48c033fd129c231e295329bc66dbd7362e5ad87e22bc9",
"f3f851fd4a582d670b6b59aac19c1368dfc5d5d1f1dc64db15ea6d393dbaebec",
'79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',
'483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',
[
[
"918623ccba0ee23ce0b62e1e014040471354afc88b285a04e0640ca710490bff",
"c7f7712157b93134b3a0f64bda2cc6584fd25167dc75ce17d12d6232facd0763"
'c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5',
'1ae168fea63dc339a3c58419466ceaeef7f632653266d0e1236431a950cfe52a'
],
[
"957e6951ca769b7de9fbe79f9b379e037571e4d3b9b132f3daa13e8bf6a0c3a1",
"c9a2dbb209e02b9c3e5bac23d6a1839746dd1bf9400d1361372e87e9bf5ebdd4"
'e493dbf1c10d80f3581e4904930b1404cc6c13900ee0758474fa94abe8c4cd13',
'51ed993ea0d455b75642e2098ea51448d967ae33bfbdfe40cfe97bdc47739922'
],
[
"3088630cfa83a8c376af358ab408c8b7a060c0bfa606728f2316206fe0b4b81c",
"5b43f997949086075193c47f1ea48b27b292c94ece7dd34ceb03c71c52c2ee38"
'2f01e5e15cca351daff3843fb70f3c2f0a1bdd05e5af888a67784ef3e10a2a01',
'5c4da8a741539949293d082a132d13b4c2e213d6ba5b7617b5da2cb76cbde904'
],
[
"7f2007d526d9948952ed69488f3f45a78d77162cf43dec541a385199fe24a9ab",
"46b9ec0f2e973c0e6e1d02ce631ad7535538b908855c928b252bfb8d7528988a"
'e60fce93b59e9ec53011aabc21c23e97b2a31369b87a5ae9c44ee89e2a6dec0a',
'f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821'
],
[
"8d1c0e47be6cf2393e19cc4fe000a29acc8229d708ed2437c2cd2b5dd6a3f569",
"d734a1a4359aeab408bc0f94e530eb07674374a341f8cab7d04a2a0053f3a8db"
'd30199d74fb5a22d47b6e054e2f378cedacffcb89904a61d75d0dbd407143e65',
'95038d9d0ae3d5c3b3d6dec9e98380651f760cc364ed819605b3ff1f24106ab9'
],
[
"48bbcf71f86167c317b23fa350f79dcad6f0e400a1a959cd8c0c00c4dc5e39aa",
"c5413fb651654589117a04bde169768dba32df911f6a91f8a4e4fb7838d62588"
'bf23c1542d16eab70b1051eaf832823cfc4c6f1dcdbafd81e37918e6f874ef8b',
'5cb3866fc33003737ad928a0ba5392e4c522fc54811e2f784dc37efe66831d9f'
],
[
"5530b36ceacef824de65a27831fe18424baa6dda27cf329eda00fa62c3b00b04",
"e92c43520968b2f8cdaad292cd58757a15e982da1c18ac5bee2fc9aa2b46d5c7"
'34ff3be4033f7a06696c3d09f7d1671cbcf55cd700535655647077456769a24e',
'5d9d11623a236c553f6619d89832098c55df16c3e8f8b6818491067a73cc2f1a'
],
[
"579cef38ff606e4c31c9d2f4edff79f1835086b7c2024c94cfcb4bdbf1075662",
"b512c3a42dfcd74e023b6f049955153627c2be007e10df3b48c82cedc1b19ca1"
'8282263212c609d9ea2a6e3e172de238d8c39cabd5ac1ca10646e23fd5f51508',
'11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf'
],
[
"c18b94b4713f604867081c61d838e774aad02f81775f1000bfe04a92c548151e",
"31b6e9b27763e717fe3818474c34d950be67ab5ef0dd49ee154230eda74993c3"
'465370b287a79ff3905a857a9cf918d50adbc968d9e159d0926e2c00ef34a24d',
'35e531b38368c082a4af8bdafdeec2c1588e09b215d37a10a2f8fb20b33887f4'
],
[
"f5a0f4033b7e89cb9f68786a0679a18668fe168ddbbeaadb47b9e1bb2a40dc",
"50530cc3e4dc133b6190f9094db5f974f227ec0293549ddc215ebe7cdce1892e"
'241febb8e23cbd77d664a18f66ad6240aaec6ecdc813b088d5b901b2e285131f',
'513378d9ff94f8d3d6c420bd13981df8cd50fd0fbd0cb5afabb3e66f2750026d'
],
[
"8c2f19024b2b7b7a908234a2b3f43716d395846aaadd62f7de2cebdff983655f",
"2dc4b14168e68f122a165029cbf6ea0e11536a3d7adab7e52b723952f9a03be2"
'5d1bdb4ea172fa79fce4cc2983d8f8d9fc318b85f423de0dedcb63069b920471',
'2843826779379e2e794bb99438a2265679eb1e9996c56e7b70330666f7b83103'
],
[
"9c0bde99755bf7919bd70b4a6e9f8aa001a156834431ed116c76885bc21a63a",
"4307be489bce3f59658dc8daad44dabfe233422662644c34714b6ca8b90f6561"
'175e159f728b865a72f99cc6c6fc846de0b93833fd2222ed73fce5b551e5b739',
'd3506e0d9e3c79eba4ef97a51ff71f5eacb5955add24345c6efa6ffee9fed695'
],
[
"35df455e6f0c5c9663940c4be7b2361c03325d7b4b720bd80ffeb1a73f0adbdc",
"172f60db0067652861e5afbf991aaed980cd80bf0a4cc8a6ca7dfd97d3f15175"
'423a013f03ff32d7a5ffbcc8e139c62130fdfeb5c6da121bce78049e46bc47d6',
'b91ae00fe1e1d970a1179f7bbaf6b3c7720d8ec3524f009ed1236e6d8b548a34'
],
[
"d624ceaeda196b06c39f5e0f89a609f28d321824861c6c0749f73b15b2ac963f",
"c2e7ce8d09ae8893ab968eb37aae611324cd765629f2067875485b097a47f836"
'111d6a45ac1fb90508907a7abcd6877649df662f3b3e2741302df6f78416824a',
'696911c478eaffbb90d48dbff065952f070008996daca4ca9a111d42108e9d0'
],
[
"d4c6a641ee668cc8e8a1edb3e5216e993ff46b1930d6a46b260bbfa6757d7a0",
"8f9f7804862d3efe18ecda874d8d5468b15374a4b5047f273938fafe808a095"
'4a4a6dc97ac7c8b8ad795dbebcb9dcff7290b68a5ef74e56ab5edde01bced775',
'529911b016631e72943ef9f739c0f4571de90cdb424742acb2bf8f68a78dd66d'
],
[
"8a5c6c230aecdacb3e4b0ac7afd029c1c45ee21fc87d728472e39690233ea474",
"ae9d2208a0867e1f22f9382ceb7a9b21a5ec7a4bc742b043b7f34ffde4685ba"
'363d90d447b00c9c99ceac05b6262ee053441c7e55552ffe526bad8f83ff4640',
'4e273adfc732221953b445397f3363145b9a89008199ecb62003c7f3bee9de9'
],
[
"2eb1f6c1fd6a297097ddc650598761ba39fa521b63549ad1d910ba6e477c2586",
"295e1cf76e99c7a4d8e8d733ff90728c6b0f39b86090af18a2ea43e6cf8baf56"
'4c1b9866ed9a7e9b553973c6c93b02bf0b62fb012edfb59dd2712a5caf92c541',
'c1f792d320be8a0f7fbcb753ce56e69cc652ead7e43eb1ad72c4f3fdc68fe020'
],
[
"de3321a2331559245eef966d467dd29b2573c15b709812c4198dc505dd55679b",
"bd3daf8a9add060a647d9ca97e169539615d43ea05e9a8257f5392f057d25d2b"
'a4083877ba83b12b529a2f3c0780b54e3233edbc1a28f135e0c8f28cbeaaf3d1',
'40e9f612feefbc79b8bf83d69361b3e22001e7576ed1ef90b12b534df0b254b9'
],
[
"cc561e9c579b1bdb3f1ca5e1840794d46e632ebddc4127d95cdc2c6faa8508d0",
"74227aa0ec7c8ff13a5eeac1b63f97770d106284f4631f6ca6f7ed1267f4d5ca"
'a804c641d28cc0b53a4e3e1a2f56c86f6e0d880a454203b98cd3db5a7940d33a',
'95be83252b2fa6d03dec2842c16047e81af18ca89cf736a943ce95fa6d46967a'
],
[
"899a71b1bac7deb7a4d9d08b3b5828cbcff12d439515ff5d53d5d0562ed76d8f",
"737dbe3c16011241ed24e35f6d343520d85465e5e7f89ab6137eef31a436dd06"
'8b4b5f165df3c2be8c6244b5b745638843e4a781a15bcd1b69f79a55dffdf80c',
'4aad0a6f68d308b4b3fbd7813ab0da04f9e336546162ee56b3eff0c65fd4fd36'
],
[
"d6116f0fede8ed970c880eaa01dd4b01fdccac2a7c4e3d6d063ff056b09fb038",
"3bf0f02c1dad6a634e1c988a732a8bf4c40f2a9a609996d4f9b552d80aca14ee"
'ed0c5ce4e13291718ce17c7ec83c611071af64ee417c997abb3f26714755e4be',
'221a9fc7bc2345bdbf3dad7f5a7ea68049d93925763ddab163f9fa6ea07bf42f'
],
[
"598e204dd2d59c14bd3094f73b0e729231930a8b707ee22d0c2419fcd8616aa6",
"fae09c8c8340d9057c84a68fe361ea7d5d9825428f01f753fc65a244d72d572b"
'faecb013c44ce694b3b15c3f83f1fae8e53254566e0552ced4b6e6c807cec8ab',
'cc09b5e90e9ecb57fc2e02c6ec2fb13d9c32b286b85e2e2e8981dfd9ab155070'
],
[
"284c6248b822a9a37122fcda4748fbd1cc32b8e0f98986b078f84b14f02b0905",
"1e3dfab25acf4eb9f1b455c8ea94210768b4d38574501694477516031bb313ee"
'9bb8a132dcad2f2c8731a0b37cbcafdb3b2dd824f23cd3e07f64eae9ad1b1f7',
'945bb2b2afeee3b9b6f9dd284f863e850f54a840f4752d5364130627c3811c80'
],
[
"f9ff060a70bfc59172e66b4dffb9e311108822731948505f1f30e547e61d28dd",
"6508fb2b42b5e11ffbd8d2b1faa21c5ae3d6b90b7bcb26d4e514b1ed87f9a884"
'723cbaa6e5db996d6bf771c00bd548c7b700dbffa6c0e77bcb6115925232fcda',
'96e867b5595cc498a921137488824d6e2660a0653779494801dc069d9eb39f5f'
],
[
"d19cbb4be645868b6209e17ed7811954e2372d71c023806dac9fee098fdb4e3d",
"aa7d33db261a6cd08bdaa15fe866661f15380220f5184ed00d02b2c367eea0a"
'57efa786437b744d343d7dc45773a3c62d240a43079849071fd383d60ca030d5',
'd712db0bd1b48518893627c928de03ec689b6d2ae5e9974ab07ab44274b02f9e'
],
[
"1360a8ac855f8ec6c14a14278e145c62c48e9c9271f3aa8807c4992d41085ef9",
"1c6b8dadc0b1203103d39c73b8a239a3e4db0f1fe99621f5aca2af7ebc3521c8"
'264bbd436a28bc42a2df7e9cd5226cb91080577e327b012a7fafc7770c584dd5',
'd87c6fa94ee093b4d4f75ce24c33be226a118243717b8d8de61227937704ab11'
],
[
"9ced3f21f2c9af358ddd8297a2176cc422d0c1be5c66fadac9e378fb1d4d04bd",
"292efdae73a0fdc604ac7f2998a199ce2b707f1c785fadf6a271698d17faf99d"
'a94c6524bd40d2bbdac85c056236a79da78bc61fd5bdec9d2bf26bd84b2438e8',
'b5201fd992f96280fd79219505019e3a7e5d3c60a0e39b2bc2e2c8dbf18661f4'
],
[
"d22cee0955924a75ae11d44a2d18bfaa1dcd50a06ad9e0af4f0250e27b6e58cb",
"1e1ad45e9f40c0138aa2a3125fdaf3fca473ec3798d3edc7336db5f0d23308ad"
'eebfa4d493bebf98ba5feec812c2d3b50947961237a919839a533eca0e7dd7fa',
'5d9a8ca3970ef0f269ee7edaf178089d9ae4cdc3a711f712ddfd4fdae1de8999'
],
[
"ba31d0483ee9338b3636741b29a523f119280b9c05e6183ae863d1afeb2dea6c",
"ec0d59743bc15edb69c6b48740fdc53d3266e189203414ca782e9db6fc6a871b"
'381c4ad7a7a97bfda61c6031c118495fc4ea4bc08f6766d676bee90847d297fd',
'936af53b238eeee48f3e5fa709915eccf0451032db939c0093ace3187d493fc5'
],
[
"991ddae7912926ac023d28604cc2dade6b946d4af1ba09ab097726a6237691b4",
"e72ab52a6474b56ff8ef73cb4f4f9e3f810acca720ddc70564db45f07f90df44"
'e1efb9cd05adc63bcce10831d9538c479cf1d05fefdd08b2448d70422ede454c',
'ecb4530d8af9be7b0154c1ffe477123464e3244a7a2d4c6ad9fd233a8913797'
],
[
"4ba5efd9a10d36100e771b626da4ac215c3ebada129b871b4028f92de7b040ec",
"51325161d621df1a9030fc62e29b81b2cd7fec6334b9d0e93982e7a844b5bdea"
'5318f9b1a2697010c5ac235e9af475a8c7e5419f33d47b18d33feeb329eb99a4',
'f44ccfeb4beda4195772d93aebb405e8a41f2b40d1e3ec652c726eeefe91f92d'
],
[
"3b436f386109b4e9ef9133702cd5d56af4095525fe1d2dd9f30222bf7476c16b",
"f2479a7c394b50998f120c4a670b81d349b5f127619927f0b4f8ebacc8dc0862"
'100f44da696e71672791d0a09b7bde459f1215a29b3c03bfefd7835b39a48db0',
'cdd9e13192a00b772ec8f3300c090666b7ff4a18ff5195ac0fbd5cd62bc65a09'
],
[
"f1d3f188bff86c24cc3fc6e16e0251dbaa506d8bb30cff5f9065b1847fb2cf63",
"2f17da77f0001710aa7081db3b87f92c63f14011a233126d33d0392178b07b96"
'8c0989f2ceb5c771a8415dff2b4c4199d8d9c8f9237d08084b05284f1e4df706',
'fb4dbd044f432034ffd2172cb9dc966c60de6bf5156511aa736ac5a35d72fa98'
],
[
"b3672681533aaa6aa34cc99e731d4c353842d74695921e6c7829ea51af20fb76",
"df6563844506fc9651aed2de269adbea8dcb67db62f9483c620d21a2a570ad25"
'fb8f153c5e266704c4a481743262c0259c528539bc95bc1bb1e63c33dc47bffd',
'6ca27a9dc5e0621816fa11d9b4bccd531dde1389ac542613090a45ddd949b095'
],
[
"e17e81a4530aacd51f71ff256f595a04f80e557b4613386257cbb5afa920cb77",
"6af6ee9bca94409791e48de6b1e9af8abd27708d3065a364750d6df698a38307"
'e747333fd75d51755a0cc9f0a728708465a02c587737a7b8b8fa1b8b4bb2629a',
'f2affe0145070c114cc43603804c2581c88376aa6e1a969a9f8d961a6946f6d6'
],
[
"fa558161ac906f6f6a154cc23a0a78aa2bdd58a729aed26c3f3edf58c2470c71",
"324a09c39ec4c70799f90a5a917fb59609b54e610b5662f43a53c19588626e66"
'e1031be262c7ed1b1dc9227a4a04c017a77f8d4464f3b3852c8acde6e534fd2d',
'9d7061928940405e6bb6a4176597535af292dd419e1ced79a44f18f29456a00d'
],
[
"37a7bd0b087b69ccfd8ae5fe0adbbe890d6557dfaf02439c2797860911919724",
"ff419a334d84e59c1b14459e07b67ae608be925a7ee104702c7ad93c84da38b5"
'f4b93f224c8089eab9f95dcd0f29b2c9028a6ac5de94d85784e27e36a95c8356',
'a67a92ec062962dfb0e5f6a7a40eee90c37ef1344915609abd5861b9be001fd3'
],
[
"619286cd8c4e5a5c05647c3d28aaff052f846d64c46858ad65476fda861e1cc7",
"f22abba66be4dc0c8a026c48b282577ada62460ae4880845a07a7081de4c6936"
'9d1aca1fce55236b19622ea025b08b0d51e8512f97e696c20d62fe17b160e8a',
'1153188f5101f0c63e56692ce0d8c27e6fe9e0ee9212b5e534e050c57ca04c44'
],
[
"8cee032905523d53cf9d9868a8e0a61f41e2341c2ea9b825410fd7e104f91db8",
"d12d02d59044ba53e47846c9acbd7c3c8f503a954b36dc899e18cbfc0500f0d3"
'c66c59cc454c2b9e18a2ad793821cde7518b3a93bfc39562e97d7d0475ba7fc2',
'd9592fe2bfb30fcfbea4f3ceaac10cb2f00a60ddb15955977ec3c69cf75f5956'
],
[
"37e206f5f040b8b24942a08955bbf75753e44ad81a39a40b4cbe1f9c31d9ee22",
"7b2db2a4267c78e1436c2e876ca47b851296c3fb66b0f39463c8a16ea3e0ece6"
'feea6cae46d55b530ac2839f143bd7ec5cf8b266a41d6af52d5e688d9094696d',
'e57c6b6c97dce1bab06e4e12bf3ecd5c981c8957cc41442d3155debf18090088'
],
[
"806f94a4503f65132f9b0b1ebcd49f67cb5e512eb0d786ad768a66dda590c52f",
"5db3f73bd703bc2dfc7db252b5d1585b57ec65d9f86dc68054b98050cdbdeb6d"
'4d000b621adb87e1c53261af9db2e179141ecae0b331a1870aa4040aee752b08',
'6a0d5b8f18e0d255cb6d825582d972cccb7df5f119c7293a3e72851f48302cea'
],
[
"9f113c2e1db2c4153ccf567db487d1a4289b0a50d5137d97ab495bc4129572c0",
"db7f694c0f893f4137b2a603dbac5ba5a1d2e66fa691934b690faa5ded1e8496"
'71f570ca203da05dd6aa262114717128d657a0403e1f1b77f89962fd475c58ef',
'eb42415b95dc880dd25557345bc95b8df2445d00c3363e7df8649a72d35d420e'
],
[
"e8f6db65f6034364c8277be19c46f7f9d4309f36eca3cf15c205af9114123cd9",
"79cff57869396af83eb828b2aee808e322f8a8b8eaf049d852871f052402b7f8"
'a2b7b3629f7bd253b7d282b5c21da01446b4821dc65e76516048b06043ff8359',
'693038941695122d57a937a3f71e29c910d10835046f3835a2397fecfe86fec2'
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]

@@ -1123,0 +1125,0 @@ ]

{
"name": "elliptic",
"version": "0.12.0",
"version": "0.13.1",
"description": "EC cryptography",

@@ -30,5 +30,5 @@ "main": "lib/elliptic.js",

"dependencies": {
"bn.js": "^0.6.0",
"bn.js": "^0.7.0",
"hash.js": "^0.2.0"
}
}

Sorry, the diff of this file is not supported yet

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