public override ECPoint Add(ECPoint b) { if (base.IsInfinity) { return(b); } if (b.IsInfinity) { return(this); } if (this == b) { return(Twice()); } ECCurve curve = Curve; SecP128R1FieldElement secP128R1FieldElement = (SecP128R1FieldElement)base.RawXCoord; SecP128R1FieldElement secP128R1FieldElement2 = (SecP128R1FieldElement)base.RawYCoord; SecP128R1FieldElement secP128R1FieldElement3 = (SecP128R1FieldElement)b.RawXCoord; SecP128R1FieldElement secP128R1FieldElement4 = (SecP128R1FieldElement)b.RawYCoord; SecP128R1FieldElement secP128R1FieldElement5 = (SecP128R1FieldElement)base.RawZCoords[0]; SecP128R1FieldElement secP128R1FieldElement6 = (SecP128R1FieldElement)b.RawZCoords[0]; uint[] array = Nat128.CreateExt(); uint[] array2 = Nat128.Create(); uint[] array3 = Nat128.Create(); uint[] array4 = Nat128.Create(); bool isOne = secP128R1FieldElement5.IsOne; uint[] array5; uint[] array6; if (isOne) { array5 = secP128R1FieldElement3.x; array6 = secP128R1FieldElement4.x; } else { array6 = array3; SecP128R1Field.Square(secP128R1FieldElement5.x, array6); array5 = array2; SecP128R1Field.Multiply(array6, secP128R1FieldElement3.x, array5); SecP128R1Field.Multiply(array6, secP128R1FieldElement5.x, array6); SecP128R1Field.Multiply(array6, secP128R1FieldElement4.x, array6); } bool isOne2 = secP128R1FieldElement6.IsOne; uint[] array7; uint[] array8; if (isOne2) { array7 = secP128R1FieldElement.x; array8 = secP128R1FieldElement2.x; } else { array8 = array4; SecP128R1Field.Square(secP128R1FieldElement6.x, array8); array7 = array; SecP128R1Field.Multiply(array8, secP128R1FieldElement.x, array7); SecP128R1Field.Multiply(array8, secP128R1FieldElement6.x, array8); SecP128R1Field.Multiply(array8, secP128R1FieldElement2.x, array8); } uint[] array9 = Nat128.Create(); SecP128R1Field.Subtract(array7, array5, array9); uint[] array10 = array2; SecP128R1Field.Subtract(array8, array6, array10); if (Nat128.IsZero(array9)) { if (Nat128.IsZero(array10)) { return(Twice()); } return(curve.Infinity); } uint[] array11 = array3; SecP128R1Field.Square(array9, array11); uint[] array12 = Nat128.Create(); SecP128R1Field.Multiply(array11, array9, array12); uint[] array13 = array3; SecP128R1Field.Multiply(array11, array7, array13); SecP128R1Field.Negate(array12, array12); Nat128.Mul(array8, array12, array); uint x = Nat128.AddBothTo(array13, array13, array12); SecP128R1Field.Reduce32(x, array12); SecP128R1FieldElement secP128R1FieldElement7 = new SecP128R1FieldElement(array4); SecP128R1Field.Square(array10, secP128R1FieldElement7.x); SecP128R1Field.Subtract(secP128R1FieldElement7.x, array12, secP128R1FieldElement7.x); SecP128R1FieldElement secP128R1FieldElement8 = new SecP128R1FieldElement(array12); SecP128R1Field.Subtract(array13, secP128R1FieldElement7.x, secP128R1FieldElement8.x); SecP128R1Field.MultiplyAddToExt(secP128R1FieldElement8.x, array10, array); SecP128R1Field.Reduce(array, secP128R1FieldElement8.x); SecP128R1FieldElement secP128R1FieldElement9 = new SecP128R1FieldElement(array9); if (!isOne) { SecP128R1Field.Multiply(secP128R1FieldElement9.x, secP128R1FieldElement5.x, secP128R1FieldElement9.x); } if (!isOne2) { SecP128R1Field.Multiply(secP128R1FieldElement9.x, secP128R1FieldElement6.x, secP128R1FieldElement9.x); } ECFieldElement[] zs = new ECFieldElement[1] { secP128R1FieldElement9 }; return(new SecP128R1Point(curve, secP128R1FieldElement7, secP128R1FieldElement8, zs, base.IsCompressed)); }
public override ECFieldElement Subtract(ECFieldElement b) { uint[] z = Nat128.Create(); SecP128R1Field.Subtract(x, ((SecP128R1FieldElement)b).x, z); return(new SecP128R1FieldElement(z)); }
public override ECPoint Twice() { if (base.IsInfinity) { return(this); } ECCurve curve = Curve; SecP128R1FieldElement secP128R1FieldElement = (SecP128R1FieldElement)base.RawYCoord; if (secP128R1FieldElement.IsZero) { return(curve.Infinity); } SecP128R1FieldElement secP128R1FieldElement2 = (SecP128R1FieldElement)base.RawXCoord; SecP128R1FieldElement secP128R1FieldElement3 = (SecP128R1FieldElement)base.RawZCoords[0]; uint[] array = Nat128.Create(); uint[] array2 = Nat128.Create(); uint[] array3 = Nat128.Create(); SecP128R1Field.Square(secP128R1FieldElement.x, array3); uint[] array4 = Nat128.Create(); SecP128R1Field.Square(array3, array4); bool isOne = secP128R1FieldElement3.IsOne; uint[] array5 = secP128R1FieldElement3.x; if (!isOne) { array5 = array2; SecP128R1Field.Square(secP128R1FieldElement3.x, array5); } SecP128R1Field.Subtract(secP128R1FieldElement2.x, array5, array); uint[] array6 = array2; SecP128R1Field.Add(secP128R1FieldElement2.x, array5, array6); SecP128R1Field.Multiply(array6, array, array6); uint x = Nat128.AddBothTo(array6, array6, array6); SecP128R1Field.Reduce32(x, array6); uint[] array7 = array3; SecP128R1Field.Multiply(array3, secP128R1FieldElement2.x, array7); x = Nat.ShiftUpBits(4, array7, 2, 0u); SecP128R1Field.Reduce32(x, array7); x = Nat.ShiftUpBits(4, array4, 3, 0u, array); SecP128R1Field.Reduce32(x, array); SecP128R1FieldElement secP128R1FieldElement4 = new SecP128R1FieldElement(array4); SecP128R1Field.Square(array6, secP128R1FieldElement4.x); SecP128R1Field.Subtract(secP128R1FieldElement4.x, array7, secP128R1FieldElement4.x); SecP128R1Field.Subtract(secP128R1FieldElement4.x, array7, secP128R1FieldElement4.x); SecP128R1FieldElement secP128R1FieldElement5 = new SecP128R1FieldElement(array7); SecP128R1Field.Subtract(array7, secP128R1FieldElement4.x, secP128R1FieldElement5.x); SecP128R1Field.Multiply(secP128R1FieldElement5.x, array6, secP128R1FieldElement5.x); SecP128R1Field.Subtract(secP128R1FieldElement5.x, array, secP128R1FieldElement5.x); SecP128R1FieldElement secP128R1FieldElement6 = new SecP128R1FieldElement(array6); SecP128R1Field.Twice(secP128R1FieldElement.x, secP128R1FieldElement6.x); if (!isOne) { SecP128R1Field.Multiply(secP128R1FieldElement6.x, secP128R1FieldElement3.x, secP128R1FieldElement6.x); } return(new SecP128R1Point(curve, secP128R1FieldElement4, secP128R1FieldElement5, new ECFieldElement[1] { secP128R1FieldElement6 }, base.IsCompressed)); }