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-rwxr-xr-xnode_modules/ecc-jsbn/lib/ec.js561
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diff --git a/node_modules/ecc-jsbn/lib/ec.js b/node_modules/ecc-jsbn/lib/ec.js
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--- a/node_modules/ecc-jsbn/lib/ec.js
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@@ -1,561 +0,0 @@
-// Basic Javascript Elliptic Curve implementation
-// Ported loosely from BouncyCastle's Java EC code
-// Only Fp curves implemented for now
-
-// Requires jsbn.js and jsbn2.js
-var BigInteger = require('jsbn').BigInteger
-var Barrett = BigInteger.prototype.Barrett
-
-// ----------------
-// ECFieldElementFp
-
-// constructor
-function ECFieldElementFp(q,x) {
- this.x = x;
- // TODO if(x.compareTo(q) >= 0) error
- this.q = q;
-}
-
-function feFpEquals(other) {
- if(other == this) return true;
- return (this.q.equals(other.q) && this.x.equals(other.x));
-}
-
-function feFpToBigInteger() {
- return this.x;
-}
-
-function feFpNegate() {
- return new ECFieldElementFp(this.q, this.x.negate().mod(this.q));
-}
-
-function feFpAdd(b) {
- return new ECFieldElementFp(this.q, this.x.add(b.toBigInteger()).mod(this.q));
-}
-
-function feFpSubtract(b) {
- return new ECFieldElementFp(this.q, this.x.subtract(b.toBigInteger()).mod(this.q));
-}
-
-function feFpMultiply(b) {
- return new ECFieldElementFp(this.q, this.x.multiply(b.toBigInteger()).mod(this.q));
-}
-
-function feFpSquare() {
- return new ECFieldElementFp(this.q, this.x.square().mod(this.q));
-}
-
-function feFpDivide(b) {
- return new ECFieldElementFp(this.q, this.x.multiply(b.toBigInteger().modInverse(this.q)).mod(this.q));
-}
-
-ECFieldElementFp.prototype.equals = feFpEquals;
-ECFieldElementFp.prototype.toBigInteger = feFpToBigInteger;
-ECFieldElementFp.prototype.negate = feFpNegate;
-ECFieldElementFp.prototype.add = feFpAdd;
-ECFieldElementFp.prototype.subtract = feFpSubtract;
-ECFieldElementFp.prototype.multiply = feFpMultiply;
-ECFieldElementFp.prototype.square = feFpSquare;
-ECFieldElementFp.prototype.divide = feFpDivide;
-
-// ----------------
-// ECPointFp
-
-// constructor
-function ECPointFp(curve,x,y,z) {
- this.curve = curve;
- this.x = x;
- this.y = y;
- // Projective coordinates: either zinv == null or z * zinv == 1
- // z and zinv are just BigIntegers, not fieldElements
- if(z == null) {
- this.z = BigInteger.ONE;
- }
- else {
- this.z = z;
- }
- this.zinv = null;
- //TODO: compression flag
-}
-
-function pointFpGetX() {
- if(this.zinv == null) {
- this.zinv = this.z.modInverse(this.curve.q);
- }
- var r = this.x.toBigInteger().multiply(this.zinv);
- this.curve.reduce(r);
- return this.curve.fromBigInteger(r);
-}
-
-function pointFpGetY() {
- if(this.zinv == null) {
- this.zinv = this.z.modInverse(this.curve.q);
- }
- var r = this.y.toBigInteger().multiply(this.zinv);
- this.curve.reduce(r);
- return this.curve.fromBigInteger(r);
-}
-
-function pointFpEquals(other) {
- if(other == this) return true;
- if(this.isInfinity()) return other.isInfinity();
- if(other.isInfinity()) return this.isInfinity();
- var u, v;
- // u = Y2 * Z1 - Y1 * Z2
- u = other.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(other.z)).mod(this.curve.q);
- if(!u.equals(BigInteger.ZERO)) return false;
- // v = X2 * Z1 - X1 * Z2
- v = other.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(other.z)).mod(this.curve.q);
- return v.equals(BigInteger.ZERO);
-}
-
-function pointFpIsInfinity() {
- if((this.x == null) && (this.y == null)) return true;
- return this.z.equals(BigInteger.ZERO) && !this.y.toBigInteger().equals(BigInteger.ZERO);
-}
-
-function pointFpNegate() {
- return new ECPointFp(this.curve, this.x, this.y.negate(), this.z);
-}
-
-function pointFpAdd(b) {
- if(this.isInfinity()) return b;
- if(b.isInfinity()) return this;
-
- // u = Y2 * Z1 - Y1 * Z2
- var u = b.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(b.z)).mod(this.curve.q);
- // v = X2 * Z1 - X1 * Z2
- var v = b.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(b.z)).mod(this.curve.q);
-
- if(BigInteger.ZERO.equals(v)) {
- if(BigInteger.ZERO.equals(u)) {
- return this.twice(); // this == b, so double
- }
- return this.curve.getInfinity(); // this = -b, so infinity
- }
-
- var THREE = new BigInteger("3");
- var x1 = this.x.toBigInteger();
- var y1 = this.y.toBigInteger();
- var x2 = b.x.toBigInteger();
- var y2 = b.y.toBigInteger();
-
- var v2 = v.square();
- var v3 = v2.multiply(v);
- var x1v2 = x1.multiply(v2);
- var zu2 = u.square().multiply(this.z);
-
- // x3 = v * (z2 * (z1 * u^2 - 2 * x1 * v^2) - v^3)
- var x3 = zu2.subtract(x1v2.shiftLeft(1)).multiply(b.z).subtract(v3).multiply(v).mod(this.curve.q);
- // y3 = z2 * (3 * x1 * u * v^2 - y1 * v^3 - z1 * u^3) + u * v^3
- var y3 = x1v2.multiply(THREE).multiply(u).subtract(y1.multiply(v3)).subtract(zu2.multiply(u)).multiply(b.z).add(u.multiply(v3)).mod(this.curve.q);
- // z3 = v^3 * z1 * z2
- var z3 = v3.multiply(this.z).multiply(b.z).mod(this.curve.q);
-
- return new ECPointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3);
-}
-
-function pointFpTwice() {
- if(this.isInfinity()) return this;
- if(this.y.toBigInteger().signum() == 0) return this.curve.getInfinity();
-
- // TODO: optimized handling of constants
- var THREE = new BigInteger("3");
- var x1 = this.x.toBigInteger();
- var y1 = this.y.toBigInteger();
-
- var y1z1 = y1.multiply(this.z);
- var y1sqz1 = y1z1.multiply(y1).mod(this.curve.q);
- var a = this.curve.a.toBigInteger();
-
- // w = 3 * x1^2 + a * z1^2
- var w = x1.square().multiply(THREE);
- if(!BigInteger.ZERO.equals(a)) {
- w = w.add(this.z.square().multiply(a));
- }
- w = w.mod(this.curve.q);
- //this.curve.reduce(w);
- // x3 = 2 * y1 * z1 * (w^2 - 8 * x1 * y1^2 * z1)
- var x3 = w.square().subtract(x1.shiftLeft(3).multiply(y1sqz1)).shiftLeft(1).multiply(y1z1).mod(this.curve.q);
- // y3 = 4 * y1^2 * z1 * (3 * w * x1 - 2 * y1^2 * z1) - w^3
- var y3 = w.multiply(THREE).multiply(x1).subtract(y1sqz1.shiftLeft(1)).shiftLeft(2).multiply(y1sqz1).subtract(w.square().multiply(w)).mod(this.curve.q);
- // z3 = 8 * (y1 * z1)^3
- var z3 = y1z1.square().multiply(y1z1).shiftLeft(3).mod(this.curve.q);
-
- return new ECPointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3);
-}
-
-// Simple NAF (Non-Adjacent Form) multiplication algorithm
-// TODO: modularize the multiplication algorithm
-function pointFpMultiply(k) {
- if(this.isInfinity()) return this;
- if(k.signum() == 0) return this.curve.getInfinity();
-
- var e = k;
- var h = e.multiply(new BigInteger("3"));
-
- var neg = this.negate();
- var R = this;
-
- var i;
- for(i = h.bitLength() - 2; i > 0; --i) {
- R = R.twice();
-
- var hBit = h.testBit(i);
- var eBit = e.testBit(i);
-
- if (hBit != eBit) {
- R = R.add(hBit ? this : neg);
- }
- }
-
- return R;
-}
-
-// Compute this*j + x*k (simultaneous multiplication)
-function pointFpMultiplyTwo(j,x,k) {
- var i;
- if(j.bitLength() > k.bitLength())
- i = j.bitLength() - 1;
- else
- i = k.bitLength() - 1;
-
- var R = this.curve.getInfinity();
- var both = this.add(x);
- while(i >= 0) {
- R = R.twice();
- if(j.testBit(i)) {
- if(k.testBit(i)) {
- R = R.add(both);
- }
- else {
- R = R.add(this);
- }
- }
- else {
- if(k.testBit(i)) {
- R = R.add(x);
- }
- }
- --i;
- }
-
- return R;
-}
-
-ECPointFp.prototype.getX = pointFpGetX;
-ECPointFp.prototype.getY = pointFpGetY;
-ECPointFp.prototype.equals = pointFpEquals;
-ECPointFp.prototype.isInfinity = pointFpIsInfinity;
-ECPointFp.prototype.negate = pointFpNegate;
-ECPointFp.prototype.add = pointFpAdd;
-ECPointFp.prototype.twice = pointFpTwice;
-ECPointFp.prototype.multiply = pointFpMultiply;
-ECPointFp.prototype.multiplyTwo = pointFpMultiplyTwo;
-
-// ----------------
-// ECCurveFp
-
-// constructor
-function ECCurveFp(q,a,b) {
- this.q = q;
- this.a = this.fromBigInteger(a);
- this.b = this.fromBigInteger(b);
- this.infinity = new ECPointFp(this, null, null);
- this.reducer = new Barrett(this.q);
-}
-
-function curveFpGetQ() {
- return this.q;
-}
-
-function curveFpGetA() {
- return this.a;
-}
-
-function curveFpGetB() {
- return this.b;
-}
-
-function curveFpEquals(other) {
- if(other == this) return true;
- return(this.q.equals(other.q) && this.a.equals(other.a) && this.b.equals(other.b));
-}
-
-function curveFpGetInfinity() {
- return this.infinity;
-}
-
-function curveFpFromBigInteger(x) {
- return new ECFieldElementFp(this.q, x);
-}
-
-function curveReduce(x) {
- this.reducer.reduce(x);
-}
-
-// for now, work with hex strings because they're easier in JS
-function curveFpDecodePointHex(s) {
- switch(parseInt(s.substr(0,2), 16)) { // first byte
- case 0:
- return this.infinity;
- case 2:
- case 3:
- // point compression not supported yet
- return null;
- case 4:
- case 6:
- case 7:
- var len = (s.length - 2) / 2;
- var xHex = s.substr(2, len);
- var yHex = s.substr(len+2, len);
-
- return new ECPointFp(this,
- this.fromBigInteger(new BigInteger(xHex, 16)),
- this.fromBigInteger(new BigInteger(yHex, 16)));
-
- default: // unsupported
- return null;
- }
-}
-
-function curveFpEncodePointHex(p) {
- if (p.isInfinity()) return "00";
- var xHex = p.getX().toBigInteger().toString(16);
- var yHex = p.getY().toBigInteger().toString(16);
- var oLen = this.getQ().toString(16).length;
- if ((oLen % 2) != 0) oLen++;
- while (xHex.length < oLen) {
- xHex = "0" + xHex;
- }
- while (yHex.length < oLen) {
- yHex = "0" + yHex;
- }
- return "04" + xHex + yHex;
-}
-
-ECCurveFp.prototype.getQ = curveFpGetQ;
-ECCurveFp.prototype.getA = curveFpGetA;
-ECCurveFp.prototype.getB = curveFpGetB;
-ECCurveFp.prototype.equals = curveFpEquals;
-ECCurveFp.prototype.getInfinity = curveFpGetInfinity;
-ECCurveFp.prototype.fromBigInteger = curveFpFromBigInteger;
-ECCurveFp.prototype.reduce = curveReduce;
-//ECCurveFp.prototype.decodePointHex = curveFpDecodePointHex;
-ECCurveFp.prototype.encodePointHex = curveFpEncodePointHex;
-
-// from: https://github.com/kaielvin/jsbn-ec-point-compression
-ECCurveFp.prototype.decodePointHex = function(s)
-{
- var yIsEven;
- switch(parseInt(s.substr(0,2), 16)) { // first byte
- case 0:
- return this.infinity;
- case 2:
- yIsEven = false;
- case 3:
- if(yIsEven == undefined) yIsEven = true;
- var len = s.length - 2;
- var xHex = s.substr(2, len);
- var x = this.fromBigInteger(new BigInteger(xHex,16));
- var alpha = x.multiply(x.square().add(this.getA())).add(this.getB());
- var beta = alpha.sqrt();
-
- if (beta == null) throw "Invalid point compression";
-
- var betaValue = beta.toBigInteger();
- if (betaValue.testBit(0) != yIsEven)
- {
- // Use the other root
- beta = this.fromBigInteger(this.getQ().subtract(betaValue));
- }
- return new ECPointFp(this,x,beta);
- case 4:
- case 6:
- case 7:
- var len = (s.length - 2) / 2;
- var xHex = s.substr(2, len);
- var yHex = s.substr(len+2, len);
-
- return new ECPointFp(this,
- this.fromBigInteger(new BigInteger(xHex, 16)),
- this.fromBigInteger(new BigInteger(yHex, 16)));
-
- default: // unsupported
- return null;
- }
-}
-ECCurveFp.prototype.encodeCompressedPointHex = function(p)
-{
- if (p.isInfinity()) return "00";
- var xHex = p.getX().toBigInteger().toString(16);
- var oLen = this.getQ().toString(16).length;
- if ((oLen % 2) != 0) oLen++;
- while (xHex.length < oLen)
- xHex = "0" + xHex;
- var yPrefix;
- if(p.getY().toBigInteger().isEven()) yPrefix = "02";
- else yPrefix = "03";
-
- return yPrefix + xHex;
-}
-
-
-ECFieldElementFp.prototype.getR = function()
-{
- if(this.r != undefined) return this.r;
-
- this.r = null;
- var bitLength = this.q.bitLength();
- if (bitLength > 128)
- {
- var firstWord = this.q.shiftRight(bitLength - 64);
- if (firstWord.intValue() == -1)
- {
- this.r = BigInteger.ONE.shiftLeft(bitLength).subtract(this.q);
- }
- }
- return this.r;
-}
-ECFieldElementFp.prototype.modMult = function(x1,x2)
-{
- return this.modReduce(x1.multiply(x2));
-}
-ECFieldElementFp.prototype.modReduce = function(x)
-{
- if (this.getR() != null)
- {
- var qLen = q.bitLength();
- while (x.bitLength() > (qLen + 1))
- {
- var u = x.shiftRight(qLen);
- var v = x.subtract(u.shiftLeft(qLen));
- if (!this.getR().equals(BigInteger.ONE))
- {
- u = u.multiply(this.getR());
- }
- x = u.add(v);
- }
- while (x.compareTo(q) >= 0)
- {
- x = x.subtract(q);
- }
- }
- else
- {
- x = x.mod(q);
- }
- return x;
-}
-ECFieldElementFp.prototype.sqrt = function()
-{
- if (!this.q.testBit(0)) throw "unsupported";
-
- // p mod 4 == 3
- if (this.q.testBit(1))
- {
- var z = new ECFieldElementFp(this.q,this.x.modPow(this.q.shiftRight(2).add(BigInteger.ONE),this.q));
- return z.square().equals(this) ? z : null;
- }
-
- // p mod 4 == 1
- var qMinusOne = this.q.subtract(BigInteger.ONE);
-
- var legendreExponent = qMinusOne.shiftRight(1);
- if (!(this.x.modPow(legendreExponent, this.q).equals(BigInteger.ONE)))
- {
- return null;
- }
-
- var u = qMinusOne.shiftRight(2);
- var k = u.shiftLeft(1).add(BigInteger.ONE);
-
- var Q = this.x;
- var fourQ = modDouble(modDouble(Q));
-
- var U, V;
- do
- {
- var P;
- do
- {
- P = new BigInteger(this.q.bitLength(), new SecureRandom());
- }
- while (P.compareTo(this.q) >= 0
- || !(P.multiply(P).subtract(fourQ).modPow(legendreExponent, this.q).equals(qMinusOne)));
-
- var result = this.lucasSequence(P, Q, k);
- U = result[0];
- V = result[1];
-
- if (this.modMult(V, V).equals(fourQ))
- {
- // Integer division by 2, mod q
- if (V.testBit(0))
- {
- V = V.add(q);
- }
-
- V = V.shiftRight(1);
-
- return new ECFieldElementFp(q,V);
- }
- }
- while (U.equals(BigInteger.ONE) || U.equals(qMinusOne));
-
- return null;
-}
-ECFieldElementFp.prototype.lucasSequence = function(P,Q,k)
-{
- var n = k.bitLength();
- var s = k.getLowestSetBit();
-
- var Uh = BigInteger.ONE;
- var Vl = BigInteger.TWO;
- var Vh = P;
- var Ql = BigInteger.ONE;
- var Qh = BigInteger.ONE;
-
- for (var j = n - 1; j >= s + 1; --j)
- {
- Ql = this.modMult(Ql, Qh);
-
- if (k.testBit(j))
- {
- Qh = this.modMult(Ql, Q);
- Uh = this.modMult(Uh, Vh);
- Vl = this.modReduce(Vh.multiply(Vl).subtract(P.multiply(Ql)));
- Vh = this.modReduce(Vh.multiply(Vh).subtract(Qh.shiftLeft(1)));
- }
- else
- {
- Qh = Ql;
- Uh = this.modReduce(Uh.multiply(Vl).subtract(Ql));
- Vh = this.modReduce(Vh.multiply(Vl).subtract(P.multiply(Ql)));
- Vl = this.modReduce(Vl.multiply(Vl).subtract(Ql.shiftLeft(1)));
- }
- }
-
- Ql = this.modMult(Ql, Qh);
- Qh = this.modMult(Ql, Q);
- Uh = this.modReduce(Uh.multiply(Vl).subtract(Ql));
- Vl = this.modReduce(Vh.multiply(Vl).subtract(P.multiply(Ql)));
- Ql = this.modMult(Ql, Qh);
-
- for (var j = 1; j <= s; ++j)
- {
- Uh = this.modMult(Uh, Vl);
- Vl = this.modReduce(Vl.multiply(Vl).subtract(Ql.shiftLeft(1)));
- Ql = this.modMult(Ql, Ql);
- }
-
- return [ Uh, Vl ];
-}
-
-var exports = {
- ECCurveFp: ECCurveFp,
- ECPointFp: ECPointFp,
- ECFieldElementFp: ECFieldElementFp
-}
-
-module.exports = exports
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