public override ECFieldElement Divide(ECFieldElement b) { uint[] z = Nat160.Create(); Mod.Invert(SecP160R1Field.P, ((SecP160R1FieldElement)b).x, z); SecP160R1Field.Multiply(z, x, z); return(new SecP160R1FieldElement(z)); }
public SecP160R1FieldElement(BigInteger x) { if (x == null || x.SignValue < 0 || x.CompareTo(Q) >= 0) { throw new ArgumentException("value invalid for SecP160R1FieldElement", "x"); } this.x = SecP160R1Field.FromBigInteger(x); }
public override ECFieldElement Sqrt() { uint[] y = x; if (Nat160.IsZero(y) || Nat160.IsOne(y)) { return(this); } uint[] array = Nat160.Create(); SecP160R1Field.Square(y, array); SecP160R1Field.Multiply(array, y, array); uint[] array2 = Nat160.Create(); SecP160R1Field.SquareN(array, 2, array2); SecP160R1Field.Multiply(array2, array, array2); uint[] array3 = array; SecP160R1Field.SquareN(array2, 4, array3); SecP160R1Field.Multiply(array3, array2, array3); uint[] array4 = array2; SecP160R1Field.SquareN(array3, 8, array4); SecP160R1Field.Multiply(array4, array3, array4); uint[] array5 = array3; SecP160R1Field.SquareN(array4, 16, array5); SecP160R1Field.Multiply(array5, array4, array5); uint[] array6 = array4; SecP160R1Field.SquareN(array5, 32, array6); SecP160R1Field.Multiply(array6, array5, array6); uint[] array7 = array5; SecP160R1Field.SquareN(array6, 64, array7); SecP160R1Field.Multiply(array7, array6, array7); uint[] array8 = array6; SecP160R1Field.Square(array7, array8); SecP160R1Field.Multiply(array8, y, array8); uint[] z = array8; SecP160R1Field.SquareN(z, 29, z); uint[] array9 = array7; SecP160R1Field.Square(z, array9); if (!Nat160.Eq(y, array9)) { return(null); } return(new SecP160R1FieldElement(z)); }
public override ECPoint Add(ECPoint b) { if (base.IsInfinity) { return(b); } if (b.IsInfinity) { return(this); } if (this == b) { return(Twice()); } ECCurve curve = Curve; SecP160R1FieldElement secP160R1FieldElement = (SecP160R1FieldElement)base.RawXCoord; SecP160R1FieldElement secP160R1FieldElement2 = (SecP160R1FieldElement)base.RawYCoord; SecP160R1FieldElement secP160R1FieldElement3 = (SecP160R1FieldElement)b.RawXCoord; SecP160R1FieldElement secP160R1FieldElement4 = (SecP160R1FieldElement)b.RawYCoord; SecP160R1FieldElement secP160R1FieldElement5 = (SecP160R1FieldElement)base.RawZCoords[0]; SecP160R1FieldElement secP160R1FieldElement6 = (SecP160R1FieldElement)b.RawZCoords[0]; uint[] array = Nat160.CreateExt(); uint[] array2 = Nat160.Create(); uint[] array3 = Nat160.Create(); uint[] array4 = Nat160.Create(); bool isOne = secP160R1FieldElement5.IsOne; uint[] array5; uint[] array6; if (isOne) { array5 = secP160R1FieldElement3.x; array6 = secP160R1FieldElement4.x; } else { array6 = array3; SecP160R1Field.Square(secP160R1FieldElement5.x, array6); array5 = array2; SecP160R1Field.Multiply(array6, secP160R1FieldElement3.x, array5); SecP160R1Field.Multiply(array6, secP160R1FieldElement5.x, array6); SecP160R1Field.Multiply(array6, secP160R1FieldElement4.x, array6); } bool isOne2 = secP160R1FieldElement6.IsOne; uint[] array7; uint[] array8; if (isOne2) { array7 = secP160R1FieldElement.x; array8 = secP160R1FieldElement2.x; } else { array8 = array4; SecP160R1Field.Square(secP160R1FieldElement6.x, array8); array7 = array; SecP160R1Field.Multiply(array8, secP160R1FieldElement.x, array7); SecP160R1Field.Multiply(array8, secP160R1FieldElement6.x, array8); SecP160R1Field.Multiply(array8, secP160R1FieldElement2.x, array8); } uint[] array9 = Nat160.Create(); SecP160R1Field.Subtract(array7, array5, array9); uint[] array10 = array2; SecP160R1Field.Subtract(array8, array6, array10); if (Nat160.IsZero(array9)) { if (Nat160.IsZero(array10)) { return(Twice()); } return(curve.Infinity); } uint[] array11 = array3; SecP160R1Field.Square(array9, array11); uint[] array12 = Nat160.Create(); SecP160R1Field.Multiply(array11, array9, array12); uint[] array13 = array3; SecP160R1Field.Multiply(array11, array7, array13); SecP160R1Field.Negate(array12, array12); Nat160.Mul(array8, array12, array); uint x = Nat160.AddBothTo(array13, array13, array12); SecP160R1Field.Reduce32(x, array12); SecP160R1FieldElement secP160R1FieldElement7 = new SecP160R1FieldElement(array4); SecP160R1Field.Square(array10, secP160R1FieldElement7.x); SecP160R1Field.Subtract(secP160R1FieldElement7.x, array12, secP160R1FieldElement7.x); SecP160R1FieldElement secP160R1FieldElement8 = new SecP160R1FieldElement(array12); SecP160R1Field.Subtract(array13, secP160R1FieldElement7.x, secP160R1FieldElement8.x); SecP160R1Field.MultiplyAddToExt(secP160R1FieldElement8.x, array10, array); SecP160R1Field.Reduce(array, secP160R1FieldElement8.x); SecP160R1FieldElement secP160R1FieldElement9 = new SecP160R1FieldElement(array9); if (!isOne) { SecP160R1Field.Multiply(secP160R1FieldElement9.x, secP160R1FieldElement5.x, secP160R1FieldElement9.x); } if (!isOne2) { SecP160R1Field.Multiply(secP160R1FieldElement9.x, secP160R1FieldElement6.x, secP160R1FieldElement9.x); } ECFieldElement[] zs = new ECFieldElement[1] { secP160R1FieldElement9 }; return(new SecP160R1Point(curve, secP160R1FieldElement7, secP160R1FieldElement8, zs, base.IsCompressed)); }
public override ECPoint Twice() { if (base.IsInfinity) { return(this); } ECCurve curve = Curve; SecP160R1FieldElement secP160R1FieldElement = (SecP160R1FieldElement)base.RawYCoord; if (secP160R1FieldElement.IsZero) { return(curve.Infinity); } SecP160R1FieldElement secP160R1FieldElement2 = (SecP160R1FieldElement)base.RawXCoord; SecP160R1FieldElement secP160R1FieldElement3 = (SecP160R1FieldElement)base.RawZCoords[0]; uint[] array = Nat160.Create(); uint[] array2 = Nat160.Create(); uint[] array3 = Nat160.Create(); SecP160R1Field.Square(secP160R1FieldElement.x, array3); uint[] array4 = Nat160.Create(); SecP160R1Field.Square(array3, array4); bool isOne = secP160R1FieldElement3.IsOne; uint[] array5 = secP160R1FieldElement3.x; if (!isOne) { array5 = array2; SecP160R1Field.Square(secP160R1FieldElement3.x, array5); } SecP160R1Field.Subtract(secP160R1FieldElement2.x, array5, array); uint[] array6 = array2; SecP160R1Field.Add(secP160R1FieldElement2.x, array5, array6); SecP160R1Field.Multiply(array6, array, array6); uint x = Nat160.AddBothTo(array6, array6, array6); SecP160R1Field.Reduce32(x, array6); uint[] array7 = array3; SecP160R1Field.Multiply(array3, secP160R1FieldElement2.x, array7); x = Nat.ShiftUpBits(5, array7, 2, 0u); SecP160R1Field.Reduce32(x, array7); x = Nat.ShiftUpBits(5, array4, 3, 0u, array); SecP160R1Field.Reduce32(x, array); SecP160R1FieldElement secP160R1FieldElement4 = new SecP160R1FieldElement(array4); SecP160R1Field.Square(array6, secP160R1FieldElement4.x); SecP160R1Field.Subtract(secP160R1FieldElement4.x, array7, secP160R1FieldElement4.x); SecP160R1Field.Subtract(secP160R1FieldElement4.x, array7, secP160R1FieldElement4.x); SecP160R1FieldElement secP160R1FieldElement5 = new SecP160R1FieldElement(array7); SecP160R1Field.Subtract(array7, secP160R1FieldElement4.x, secP160R1FieldElement5.x); SecP160R1Field.Multiply(secP160R1FieldElement5.x, array6, secP160R1FieldElement5.x); SecP160R1Field.Subtract(secP160R1FieldElement5.x, array, secP160R1FieldElement5.x); SecP160R1FieldElement secP160R1FieldElement6 = new SecP160R1FieldElement(array6); SecP160R1Field.Twice(secP160R1FieldElement.x, secP160R1FieldElement6.x); if (!isOne) { SecP160R1Field.Multiply(secP160R1FieldElement6.x, secP160R1FieldElement3.x, secP160R1FieldElement6.x); } return(new SecP160R1Point(curve, secP160R1FieldElement4, secP160R1FieldElement5, new ECFieldElement[1] { secP160R1FieldElement6 }, base.IsCompressed)); }
public override ECFieldElement Square() { uint[] z = Nat160.Create(); SecP160R1Field.Square(x, z); return(new SecP160R1FieldElement(z)); }
public override ECFieldElement Multiply(ECFieldElement b) { uint[] z = Nat160.Create(); SecP160R1Field.Multiply(x, ((SecP160R1FieldElement)b).x, z); return(new SecP160R1FieldElement(z)); }
public override ECFieldElement Subtract(ECFieldElement b) { uint[] z = Nat160.Create(); SecP160R1Field.Subtract(x, ((SecP160R1FieldElement)b).x, z); return(new SecP160R1FieldElement(z)); }