public override ECPoint Add(ECPoint b) { uint[] numArray5; uint[] numArray6; uint[] numArray7; uint[] numArray8; if (base.IsInfinity) { return(b); } if (b.IsInfinity) { return(this); } if (this == b) { return(this.Twice()); } ECCurve curve = this.Curve; SecP256R1FieldElement rawXCoord = (SecP256R1FieldElement)base.RawXCoord; SecP256R1FieldElement rawYCoord = (SecP256R1FieldElement)base.RawYCoord; SecP256R1FieldElement element3 = (SecP256R1FieldElement)b.RawXCoord; SecP256R1FieldElement element4 = (SecP256R1FieldElement)b.RawYCoord; SecP256R1FieldElement element5 = (SecP256R1FieldElement)base.RawZCoords[0]; SecP256R1FieldElement element6 = (SecP256R1FieldElement)b.RawZCoords[0]; uint[] zz = Nat256.CreateExt(); uint[] numArray2 = Nat256.Create(); uint[] numArray3 = Nat256.Create(); uint[] x = Nat256.Create(); bool isOne = element5.IsOne; if (isOne) { numArray5 = element3.x; numArray6 = element4.x; } else { numArray6 = numArray3; SecP256R1Field.Square(element5.x, numArray6); numArray5 = numArray2; SecP256R1Field.Multiply(numArray6, element3.x, numArray5); SecP256R1Field.Multiply(numArray6, element5.x, numArray6); SecP256R1Field.Multiply(numArray6, element4.x, numArray6); } bool flag2 = element6.IsOne; if (flag2) { numArray7 = rawXCoord.x; numArray8 = rawYCoord.x; } else { numArray8 = x; SecP256R1Field.Square(element6.x, numArray8); numArray7 = zz; SecP256R1Field.Multiply(numArray8, rawXCoord.x, numArray7); SecP256R1Field.Multiply(numArray8, element6.x, numArray8); SecP256R1Field.Multiply(numArray8, rawYCoord.x, numArray8); } uint[] z = Nat256.Create(); SecP256R1Field.Subtract(numArray7, numArray5, z); uint[] numArray10 = numArray2; SecP256R1Field.Subtract(numArray8, numArray6, numArray10); if (Nat256.IsZero(z)) { if (Nat256.IsZero(numArray10)) { return(this.Twice()); } return(curve.Infinity); } uint[] numArray11 = numArray3; SecP256R1Field.Square(z, numArray11); uint[] numArray12 = Nat256.Create(); SecP256R1Field.Multiply(numArray11, z, numArray12); uint[] numArray13 = numArray3; SecP256R1Field.Multiply(numArray11, numArray7, numArray13); SecP256R1Field.Negate(numArray12, numArray12); Nat256.Mul(numArray8, numArray12, zz); SecP256R1Field.Reduce32(Nat256.AddBothTo(numArray13, numArray13, numArray12), numArray12); SecP256R1FieldElement element7 = new SecP256R1FieldElement(x); SecP256R1Field.Square(numArray10, element7.x); SecP256R1Field.Subtract(element7.x, numArray12, element7.x); SecP256R1FieldElement y = new SecP256R1FieldElement(numArray12); SecP256R1Field.Subtract(numArray13, element7.x, y.x); SecP256R1Field.MultiplyAddToExt(y.x, numArray10, zz); SecP256R1Field.Reduce(zz, y.x); SecP256R1FieldElement element9 = new SecP256R1FieldElement(z); if (!isOne) { SecP256R1Field.Multiply(element9.x, element5.x, element9.x); } if (!flag2) { SecP256R1Field.Multiply(element9.x, element6.x, element9.x); } ECFieldElement[] zs = new ECFieldElement[] { element9 }; return(new SecP256R1Point(curve, element7, y, zs, base.IsCompressed)); }
public override ECPoint Add(ECPoint b) { if (this.IsInfinity) { return(b); } if (b.IsInfinity) { return(this); } if (this == b) { return(Twice()); } ECCurve curve = this.Curve; SecP256R1FieldElement X1 = (SecP256R1FieldElement)this.RawXCoord, Y1 = (SecP256R1FieldElement)this.RawYCoord; SecP256R1FieldElement X2 = (SecP256R1FieldElement)b.RawXCoord, Y2 = (SecP256R1FieldElement)b.RawYCoord; SecP256R1FieldElement Z1 = (SecP256R1FieldElement)this.RawZCoords[0]; SecP256R1FieldElement Z2 = (SecP256R1FieldElement)b.RawZCoords[0]; uint c; uint[] tt1 = Nat256.CreateExt(); uint[] t2 = Nat256.Create(); uint[] t3 = Nat256.Create(); uint[] t4 = Nat256.Create(); bool Z1IsOne = Z1.IsOne; uint[] U2, S2; if (Z1IsOne) { U2 = X2.x; S2 = Y2.x; } else { S2 = t3; SecP256R1Field.Square(Z1.x, S2); U2 = t2; SecP256R1Field.Multiply(S2, X2.x, U2); SecP256R1Field.Multiply(S2, Z1.x, S2); SecP256R1Field.Multiply(S2, Y2.x, S2); } bool Z2IsOne = Z2.IsOne; uint[] U1, S1; if (Z2IsOne) { U1 = X1.x; S1 = Y1.x; } else { S1 = t4; SecP256R1Field.Square(Z2.x, S1); U1 = tt1; SecP256R1Field.Multiply(S1, X1.x, U1); SecP256R1Field.Multiply(S1, Z2.x, S1); SecP256R1Field.Multiply(S1, Y1.x, S1); } uint[] H = Nat256.Create(); SecP256R1Field.Subtract(U1, U2, H); uint[] R = t2; SecP256R1Field.Subtract(S1, S2, R); // Check if b == this or b == -this if (Nat256.IsZero(H)) { if (Nat256.IsZero(R)) { // this == b, i.e. this must be doubled return(this.Twice()); } // this == -b, i.e. the result is the point at infinity return(curve.Infinity); } uint[] HSquared = t3; SecP256R1Field.Square(H, HSquared); uint[] G = Nat256.Create(); SecP256R1Field.Multiply(HSquared, H, G); uint[] V = t3; SecP256R1Field.Multiply(HSquared, U1, V); SecP256R1Field.Negate(G, G); Nat256.Mul(S1, G, tt1); c = Nat256.AddBothTo(V, V, G); SecP256R1Field.Reduce32(c, G); SecP256R1FieldElement X3 = new SecP256R1FieldElement(t4); SecP256R1Field.Square(R, X3.x); SecP256R1Field.Subtract(X3.x, G, X3.x); SecP256R1FieldElement Y3 = new SecP256R1FieldElement(G); SecP256R1Field.Subtract(V, X3.x, Y3.x); SecP256R1Field.MultiplyAddToExt(Y3.x, R, tt1); SecP256R1Field.Reduce(tt1, Y3.x); SecP256R1FieldElement Z3 = new SecP256R1FieldElement(H); if (!Z1IsOne) { SecP256R1Field.Multiply(Z3.x, Z1.x, Z3.x); } if (!Z2IsOne) { SecP256R1Field.Multiply(Z3.x, Z2.x, Z3.x); } ECFieldElement[] zs = new ECFieldElement[] { Z3 }; return(new SecP256R1Point(curve, X3, Y3, zs, IsCompressed)); }
public override ECPoint Add(ECPoint b) { if (base.IsInfinity) { return(b); } if (b.IsInfinity) { return(this); } if (this == b) { return(Twice()); } ECCurve curve = Curve; SecP256R1FieldElement secP256R1FieldElement = (SecP256R1FieldElement)base.RawXCoord; SecP256R1FieldElement secP256R1FieldElement2 = (SecP256R1FieldElement)base.RawYCoord; SecP256R1FieldElement secP256R1FieldElement3 = (SecP256R1FieldElement)b.RawXCoord; SecP256R1FieldElement secP256R1FieldElement4 = (SecP256R1FieldElement)b.RawYCoord; SecP256R1FieldElement secP256R1FieldElement5 = (SecP256R1FieldElement)base.RawZCoords[0]; SecP256R1FieldElement secP256R1FieldElement6 = (SecP256R1FieldElement)b.RawZCoords[0]; uint[] array = Nat256.CreateExt(); uint[] array2 = Nat256.Create(); uint[] array3 = Nat256.Create(); uint[] array4 = Nat256.Create(); bool isOne = secP256R1FieldElement5.IsOne; uint[] array5; uint[] array6; if (isOne) { array5 = secP256R1FieldElement3.x; array6 = secP256R1FieldElement4.x; } else { array6 = array3; SecP256R1Field.Square(secP256R1FieldElement5.x, array6); array5 = array2; SecP256R1Field.Multiply(array6, secP256R1FieldElement3.x, array5); SecP256R1Field.Multiply(array6, secP256R1FieldElement5.x, array6); SecP256R1Field.Multiply(array6, secP256R1FieldElement4.x, array6); } bool isOne2 = secP256R1FieldElement6.IsOne; uint[] array7; uint[] array8; if (isOne2) { array7 = secP256R1FieldElement.x; array8 = secP256R1FieldElement2.x; } else { array8 = array4; SecP256R1Field.Square(secP256R1FieldElement6.x, array8); array7 = array; SecP256R1Field.Multiply(array8, secP256R1FieldElement.x, array7); SecP256R1Field.Multiply(array8, secP256R1FieldElement6.x, array8); SecP256R1Field.Multiply(array8, secP256R1FieldElement2.x, array8); } uint[] array9 = Nat256.Create(); SecP256R1Field.Subtract(array7, array5, array9); uint[] array10 = array2; SecP256R1Field.Subtract(array8, array6, array10); if (Nat256.IsZero(array9)) { if (Nat256.IsZero(array10)) { return(Twice()); } return(curve.Infinity); } uint[] array11 = array3; SecP256R1Field.Square(array9, array11); uint[] array12 = Nat256.Create(); SecP256R1Field.Multiply(array11, array9, array12); uint[] array13 = array3; SecP256R1Field.Multiply(array11, array7, array13); SecP256R1Field.Negate(array12, array12); Nat256.Mul(array8, array12, array); uint x = Nat256.AddBothTo(array13, array13, array12); SecP256R1Field.Reduce32(x, array12); SecP256R1FieldElement secP256R1FieldElement7 = new SecP256R1FieldElement(array4); SecP256R1Field.Square(array10, secP256R1FieldElement7.x); SecP256R1Field.Subtract(secP256R1FieldElement7.x, array12, secP256R1FieldElement7.x); SecP256R1FieldElement secP256R1FieldElement8 = new SecP256R1FieldElement(array12); SecP256R1Field.Subtract(array13, secP256R1FieldElement7.x, secP256R1FieldElement8.x); SecP256R1Field.MultiplyAddToExt(secP256R1FieldElement8.x, array10, array); SecP256R1Field.Reduce(array, secP256R1FieldElement8.x); SecP256R1FieldElement secP256R1FieldElement9 = new SecP256R1FieldElement(array9); if (!isOne) { SecP256R1Field.Multiply(secP256R1FieldElement9.x, secP256R1FieldElement5.x, secP256R1FieldElement9.x); } if (!isOne2) { SecP256R1Field.Multiply(secP256R1FieldElement9.x, secP256R1FieldElement6.x, secP256R1FieldElement9.x); } ECFieldElement[] zs = new ECFieldElement[1] { secP256R1FieldElement9 }; return(new SecP256R1Point(curve, secP256R1FieldElement7, secP256R1FieldElement8, zs, base.IsCompressed)); }