Add custom curves for secp192k1 and secp192r1 (P-192)

1 files changed, 214 insertions, 0 deletions

diff --git a/crypto/src/math/ec/custom/sec/SecP192K1FieldElement.cs b/crypto/src/math/ec/custom/sec/SecP192K1FieldElement.cs
new file mode 100644
index 000000000..2d1f79367
--- /dev/null
+++ b/crypto/src/math/ec/custom/sec/SecP192K1FieldElement.cs
@@ -0,0 +1,214 @@
+using System;
+using System.Diagnostics;
+
+using Org.BouncyCastle.Utilities;
+
+namespace Org.BouncyCastle.Math.EC.Custom.Sec
+{
+    internal class SecP192K1FieldElement
+        : ECFieldElement
+    {
+        public static readonly BigInteger Q = SecP192K1Curve.q;
+
+        protected internal readonly uint[] x;
+
+        public SecP192K1FieldElement(BigInteger x)
+        {
+            if (x == null || x.SignValue < 0 || x.CompareTo(Q) >= 0)
+                throw new ArgumentException("value invalid for SecP192K1FieldElement", "x");
+
+            this.x = SecP192K1Field.FromBigInteger(x);
+        }
+
+        public SecP192K1FieldElement()
+        {
+            this.x = Nat192.Create();
+        }
+
+        protected internal SecP192K1FieldElement(uint[] x)
+        {
+            this.x = x;
+        }
+
+        public override bool IsZero
+        {
+            get { return Nat192.IsZero(x); }
+        }
+
+        public override bool IsOne
+        {
+            get { return Nat192.IsOne(x); }
+        }
+
+        public override bool TestBitZero()
+        {
+            return Nat192.GetBit(x, 0) == 1;
+        }
+
+        public override BigInteger ToBigInteger()
+        {
+            return Nat192.ToBigInteger(x);
+        }
+
+        public override string FieldName
+        {
+            get { return "SecP192K1Field"; }
+        }
+
+        public override int FieldSize
+        {
+            get { return Q.BitLength; }
+        }
+
+        public override ECFieldElement Add(ECFieldElement b)
+        {
+            uint[] z = Nat192.Create();
+            SecP192K1Field.Add(x, ((SecP192K1FieldElement)b).x, z);
+            return new SecP192K1FieldElement(z);
+        }
+
+        public override ECFieldElement AddOne()
+        {
+            uint[] z = Nat192.Create();
+            SecP192K1Field.AddOne(x, z);
+            return new SecP192K1FieldElement(z);
+        }
+
+        public override ECFieldElement Subtract(ECFieldElement b)
+        {
+            uint[] z = Nat192.Create();
+            SecP192K1Field.Subtract(x, ((SecP192K1FieldElement)b).x, z);
+            return new SecP192K1FieldElement(z);
+        }
+
+        public override ECFieldElement Multiply(ECFieldElement b)
+        {
+            uint[] z = Nat192.Create();
+            SecP192K1Field.Multiply(x, ((SecP192K1FieldElement)b).x, z);
+            return new SecP192K1FieldElement(z);
+        }
+
+        public override ECFieldElement Divide(ECFieldElement b)
+        {
+            //return Multiply(b.Invert());
+            uint[] z = Nat192.Create();
+            Mod.Invert(SecP192K1Field.P, ((SecP192K1FieldElement)b).x, z);
+            SecP192K1Field.Multiply(z, x, z);
+            return new SecP192K1FieldElement(z);
+        }
+
+        public override ECFieldElement Negate()
+        {
+            uint[] z = Nat192.Create();
+            SecP192K1Field.Negate(x, z);
+            return new SecP192K1FieldElement(z);
+        }
+
+        public override ECFieldElement Square()
+        {
+            uint[] z = Nat192.Create();
+            SecP192K1Field.Square(x, z);
+            return new SecP192K1FieldElement(z);
+        }
+
+        public override ECFieldElement Invert()
+        {
+            //return new SecP192K1FieldElement(ToBigInteger().ModInverse(Q));
+            uint[] z = Nat192.Create();
+            Mod.Invert(SecP192K1Field.P, x, z);
+            return new SecP192K1FieldElement(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()
+        {
+            /*
+             * Raise this element to the exponent 2^190 - 2^30 - 2^10 - 2^6 - 2^5 - 2^4 - 2^1
+             * 
+             * Breaking up the exponent's binary representation into "repunits", we get:
+             * { 159 1s } { 1 0s } { 19 1s } { 1 0s } { 3 1s } { 3 0s} { 3 1s } { 1 0s }
+             * 
+             * Therefore we need an addition chain containing 3, 19, 159 (the lengths of the repunits)
+             * We use: 1, 2, [3], 6, 8, 16, [19], 35, 70, 140, [159]
+             */
+
+            uint[] x1 = this.x;
+            if (Nat192.IsZero(x1) || Nat192.IsOne(x1))
+            {
+                return this;
+            }
+
+            uint[] x2 = Nat192.Create();
+            SecP192K1Field.Square(x1, x2);
+            SecP192K1Field.Multiply(x2, x1, x2);
+            uint[] x3 = Nat192.Create();
+            SecP192K1Field.Square(x2, x3);
+            SecP192K1Field.Multiply(x3, x1, x3);
+            uint[] x6 = Nat192.Create();
+            SecP192K1Field.SquareN(x3, 3, x6);
+            SecP192K1Field.Multiply(x6, x3, x6);
+            uint[] x8 = x6;
+            SecP192K1Field.SquareN(x6, 2, x8);
+            SecP192K1Field.Multiply(x8, x2, x8);
+            uint[] x16 = x2;
+            SecP192K1Field.SquareN(x8, 8, x16);
+            SecP192K1Field.Multiply(x16, x8, x16);
+            uint[] x19 = x8;
+            SecP192K1Field.SquareN(x16, 3, x19);
+            SecP192K1Field.Multiply(x19, x3, x19);
+            uint[] x35 = Nat192.Create();
+            SecP192K1Field.SquareN(x19, 16, x35);
+            SecP192K1Field.Multiply(x35, x16, x35);
+            uint[] x70 = x16;
+            SecP192K1Field.SquareN(x35, 35, x70);
+            SecP192K1Field.Multiply(x70, x35, x70);
+            uint[] x140 = x35;
+            SecP192K1Field.SquareN(x70, 70, x140);
+            SecP192K1Field.Multiply(x140, x70, x140);
+            uint[] x159 = x70;
+            SecP192K1Field.SquareN(x140, 19, x159);
+            SecP192K1Field.Multiply(x159, x19, x159);
+
+            uint[] t1 = x159;
+            SecP192K1Field.SquareN(t1, 20, t1);
+            SecP192K1Field.Multiply(t1, x19, t1);
+            SecP192K1Field.SquareN(t1, 4, t1);
+            SecP192K1Field.Multiply(t1, x3, t1);
+            SecP192K1Field.SquareN(t1, 6, t1);
+            SecP192K1Field.Multiply(t1, x3, t1);
+            SecP192K1Field.Square(t1, t1);
+
+            uint[] t2 = x3;
+            SecP192K1Field.Square(t1, t2);
+
+            return Arrays.AreEqual(x1, t2) ? new SecP192K1FieldElement(t1) : null;
+        }
+
+        public override bool Equals(object obj)
+        {
+            return Equals(obj as SecP192K1FieldElement);
+        }
+
+        public override bool Equals(ECFieldElement other)
+        {
+            return Equals(other as SecP192K1FieldElement);
+        }
+
+        public virtual bool Equals(SecP192K1FieldElement other)
+        {
+            if (this == other)
+                return true;
+            if (null == other)
+                return false;
+            return Arrays.AreEqual(x, other.x);
+        }
+
+        public override int GetHashCode()
+        {
+            return Q.GetHashCode() ^ Arrays.GetHashCode(x);
+        }
+    }
+}