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@ -94,6 +94,7 @@ function pointFpEquals(other) { |
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if (other == this) return true; |
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if (this.isInfinity()) return other.isInfinity(); |
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if (other.isInfinity()) return this.isInfinity(); |
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var u, v; |
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// u = Y2 * Z1 - Y1 * Z2
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u = other.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(other.z)).mod(this.curve.q); |
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@ -130,6 +131,7 @@ function pointFpAdd(b) { |
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if (u.signum() === 0) { |
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return this.twice(); // this == b, so double
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} |
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return this.curve.getInfinity(); // this = -b, so infinity
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} |
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@ -161,9 +163,11 @@ function pointFpTwice() { |
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// w = 3 * x1^2 + a * z1^2
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var w = x1.square().multiply(THREE); |
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if (a.signum() !== 0) { |
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w = w.add(this.z.square().multiply(a)); |
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} |
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w = w.mod(this.curve.q); |
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// x3 = 2 * y1 * z1 * (w^2 - 8 * x1 * y1^2 * z1)
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var x3 = w.square().subtract(x1.shiftLeft(3).multiply(y1sqz1)).shiftLeft(1).multiply(y1z1).mod(this.curve.q); |
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@ -205,6 +209,7 @@ function pointFpMultiply(k) { |
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// Compute this*j + x*k (simultaneous multiplication)
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function pointFpMultiplyTwo(j,x,k) { |
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var i; |
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if (j.bitLength() > k.bitLength()) |
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i = j.bitLength() - 1; |
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else |
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@ -410,6 +415,5 @@ ECPointFp.prototype.validate = function () { |
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return true; |
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}; |
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module.exports = ECCurveFp; |
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module.exports.ECPointFp = ECPointFp; |
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