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- #if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
- using System;
- using Org.BouncyCastle.Math.Raw;
- using Org.BouncyCastle.Utilities;
- namespace Org.BouncyCastle.Math.EC.Custom.Sec
- {
- internal class SecP224R1FieldElement
- : ECFieldElement
- {
- public static readonly BigInteger Q = SecP224R1Curve.q;
- protected internal readonly uint[] x;
- public SecP224R1FieldElement(BigInteger x)
- {
- if (x == null || x.SignValue < 0 || x.CompareTo(Q) >= 0)
- throw new ArgumentException("value invalid for SecP224R1FieldElement", "x");
- this.x = SecP224R1Field.FromBigInteger(x);
- }
- public SecP224R1FieldElement()
- {
- this.x = Nat224.Create();
- }
- protected internal SecP224R1FieldElement(uint[] x)
- {
- this.x = x;
- }
- public override bool IsZero
- {
- get { return Nat224.IsZero(x); }
- }
- public override bool IsOne
- {
- get { return Nat224.IsOne(x); }
- }
- public override bool TestBitZero()
- {
- return Nat224.GetBit(x, 0) == 1;
- }
- public override BigInteger ToBigInteger()
- {
- return Nat224.ToBigInteger(x);
- }
- public override string FieldName
- {
- get { return "SecP224R1Field"; }
- }
- public override int FieldSize
- {
- get { return Q.BitLength; }
- }
- public override ECFieldElement Add(ECFieldElement b)
- {
- uint[] z = Nat224.Create();
- SecP224R1Field.Add(x, ((SecP224R1FieldElement)b).x, z);
- return new SecP224R1FieldElement(z);
- }
- public override ECFieldElement AddOne()
- {
- uint[] z = Nat224.Create();
- SecP224R1Field.AddOne(x, z);
- return new SecP224R1FieldElement(z);
- }
- public override ECFieldElement Subtract(ECFieldElement b)
- {
- uint[] z = Nat224.Create();
- SecP224R1Field.Subtract(x, ((SecP224R1FieldElement)b).x, z);
- return new SecP224R1FieldElement(z);
- }
- public override ECFieldElement Multiply(ECFieldElement b)
- {
- uint[] z = Nat224.Create();
- SecP224R1Field.Multiply(x, ((SecP224R1FieldElement)b).x, z);
- return new SecP224R1FieldElement(z);
- }
- public override ECFieldElement Divide(ECFieldElement b)
- {
- //return Multiply(b.Invert());
- uint[] z = Nat224.Create();
- Mod.Invert(SecP224R1Field.P, ((SecP224R1FieldElement)b).x, z);
- SecP224R1Field.Multiply(z, x, z);
- return new SecP224R1FieldElement(z);
- }
- public override ECFieldElement Negate()
- {
- uint[] z = Nat224.Create();
- SecP224R1Field.Negate(x, z);
- return new SecP224R1FieldElement(z);
- }
- public override ECFieldElement Square()
- {
- uint[] z = Nat224.Create();
- SecP224R1Field.Square(x, z);
- return new SecP224R1FieldElement(z);
- }
- public override ECFieldElement Invert()
- {
- //return new SecP224R1FieldElement(ToBigInteger().ModInverse(Q));
- uint[] z = Nat224.Create();
- Mod.Invert(SecP224R1Field.P, x, z);
- return new SecP224R1FieldElement(z);
- }
- /**
- * return a sqrt root - the routine verifies that the calculation returns the right value - if
- * none exists it returns null.
- */
- public override ECFieldElement Sqrt()
- {
- uint[] c = this.x;
- if (Nat224.IsZero(c) || Nat224.IsOne(c))
- return this;
- uint[] nc = Nat224.Create();
- SecP224R1Field.Negate(c, nc);
- uint[] r = Mod.Random(SecP224R1Field.P);
- uint[] t = Nat224.Create();
- if (!IsSquare(c))
- return null;
- while (!TrySqrt(nc, r, t))
- {
- SecP224R1Field.AddOne(r, r);
- }
- SecP224R1Field.Square(t, r);
- return Nat224.Eq(c, r) ? new SecP224R1FieldElement(t) : null;
- }
- public override bool Equals(object obj)
- {
- return Equals(obj as SecP224R1FieldElement);
- }
- public override bool Equals(ECFieldElement other)
- {
- return Equals(other as SecP224R1FieldElement);
- }
- public virtual bool Equals(SecP224R1FieldElement other)
- {
- if (this == other)
- return true;
- if (null == other)
- return false;
- return Nat224.Eq(x, other.x);
- }
- public override int GetHashCode()
- {
- return Q.GetHashCode() ^ Arrays.GetHashCode(x, 0, 7);
- }
- private static bool IsSquare(uint[] x)
- {
- uint[] t1 = Nat224.Create();
- uint[] t2 = Nat224.Create();
- Nat224.Copy(x, t1);
- for (int i = 0; i < 7; ++i)
- {
- Nat224.Copy(t1, t2);
- SecP224R1Field.SquareN(t1, 1 << i, t1);
- SecP224R1Field.Multiply(t1, t2, t1);
- }
- SecP224R1Field.SquareN(t1, 95, t1);
- return Nat224.IsOne(t1);
- }
- private static void RM(uint[] nc, uint[] d0, uint[] e0, uint[] d1, uint[] e1, uint[] f1, uint[] t)
- {
- SecP224R1Field.Multiply(e1, e0, t);
- SecP224R1Field.Multiply(t, nc, t);
- SecP224R1Field.Multiply(d1, d0, f1);
- SecP224R1Field.Add(f1, t, f1);
- SecP224R1Field.Multiply(d1, e0, t);
- Nat224.Copy(f1, d1);
- SecP224R1Field.Multiply(e1, d0, e1);
- SecP224R1Field.Add(e1, t, e1);
- SecP224R1Field.Square(e1, f1);
- SecP224R1Field.Multiply(f1, nc, f1);
- }
- private static void RP(uint[] nc, uint[] d1, uint[] e1, uint[] f1, uint[] t)
- {
- Nat224.Copy(nc, f1);
- uint[] d0 = Nat224.Create();
- uint[] e0 = Nat224.Create();
- for (int i = 0; i < 7; ++i)
- {
- Nat224.Copy(d1, d0);
- Nat224.Copy(e1, e0);
- int j = 1 << i;
- while (--j >= 0)
- {
- RS(d1, e1, f1, t);
- }
- RM(nc, d0, e0, d1, e1, f1, t);
- }
- }
- private static void RS(uint[] d, uint[] e, uint[] f, uint[] t)
- {
- SecP224R1Field.Multiply(e, d, e);
- SecP224R1Field.Twice(e, e);
- SecP224R1Field.Square(d, t);
- SecP224R1Field.Add(f, t, d);
- SecP224R1Field.Multiply(f, t, f);
- uint c = Nat.ShiftUpBits(7, f, 2, 0);
- SecP224R1Field.Reduce32(c, f);
- }
- private static bool TrySqrt(uint[] nc, uint[] r, uint[] t)
- {
- uint[] d1 = Nat224.Create();
- Nat224.Copy(r, d1);
- uint[] e1 = Nat224.Create();
- e1[0] = 1;
- uint[] f1 = Nat224.Create();
- RP(nc, d1, e1, f1, t);
- uint[] d0 = Nat224.Create();
- uint[] e0 = Nat224.Create();
- for (int k = 1; k < 96; ++k)
- {
- Nat224.Copy(d1, d0);
- Nat224.Copy(e1, e0);
- RS(d1, e1, f1, t);
- if (Nat224.IsZero(d1))
- {
- Mod.Invert(SecP224R1Field.P, e0, t);
- SecP224R1Field.Multiply(t, d0, t);
- return true;
- }
- }
- return false;
- }
- }
- }
- #endif
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