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-rw-r--r--bcprov/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP256K1Point.java298
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diff --git a/bcprov/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP256K1Point.java b/bcprov/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP256K1Point.java
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--- /dev/null
+++ b/bcprov/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP256K1Point.java
@@ -0,0 +1,298 @@
+package org.bouncycastle.math.ec.custom.sec;
+
+import org.bouncycastle.math.ec.ECCurve;
+import org.bouncycastle.math.ec.ECFieldElement;
+import org.bouncycastle.math.ec.ECPoint;
+import org.bouncycastle.math.raw.Nat;
+import org.bouncycastle.math.raw.Nat256;
+
+public class SecP256K1Point extends ECPoint.AbstractFp
+{
+ /**
+ * Create a point which encodes with point compression.
+ *
+ * @param curve
+ * the curve to use
+ * @param x
+ * affine x co-ordinate
+ * @param y
+ * affine y co-ordinate
+ *
+ * @deprecated Use ECCurve.createPoint to construct points
+ */
+ public SecP256K1Point(ECCurve curve, ECFieldElement x, ECFieldElement y)
+ {
+ this(curve, x, y, false);
+ }
+
+ /**
+ * Create a point that encodes with or without point compresion.
+ *
+ * @param curve
+ * the curve to use
+ * @param x
+ * affine x co-ordinate
+ * @param y
+ * affine y co-ordinate
+ * @param withCompression
+ * if true encode with point compression
+ *
+ * @deprecated per-point compression property will be removed, refer
+ * {@link #getEncoded(boolean)}
+ */
+ public SecP256K1Point(ECCurve curve, ECFieldElement x, ECFieldElement y, boolean withCompression)
+ {
+ super(curve, x, y);
+
+ if ((x == null) != (y == null))
+ {
+ throw new IllegalArgumentException("Exactly one of the field elements is null");
+ }
+
+ this.withCompression = withCompression;
+ }
+
+ SecP256K1Point(ECCurve curve, ECFieldElement x, ECFieldElement y, ECFieldElement[] zs,
+ boolean withCompression)
+ {
+ super(curve, x, y, zs);
+
+ this.withCompression = withCompression;
+ }
+
+ protected ECPoint detach()
+ {
+ return new SecP256K1Point(null, getAffineXCoord(), getAffineYCoord());
+ }
+
+ // B.3 pg 62
+ public ECPoint add(ECPoint b)
+ {
+ if (this.isInfinity())
+ {
+ return b;
+ }
+ if (b.isInfinity())
+ {
+ return this;
+ }
+ if (this == b)
+ {
+ return twice();
+ }
+
+ ECCurve curve = this.getCurve();
+
+ SecP256K1FieldElement X1 = (SecP256K1FieldElement)this.x, Y1 = (SecP256K1FieldElement)this.y;
+ SecP256K1FieldElement X2 = (SecP256K1FieldElement)b.getXCoord(), Y2 = (SecP256K1FieldElement)b.getYCoord();
+
+ SecP256K1FieldElement Z1 = (SecP256K1FieldElement)this.zs[0];
+ SecP256K1FieldElement Z2 = (SecP256K1FieldElement)b.getZCoord(0);
+
+ int c;
+ int[] tt1 = Nat256.createExt();
+ int[] t2 = Nat256.create();
+ int[] t3 = Nat256.create();
+ int[] t4 = Nat256.create();
+
+ boolean Z1IsOne = Z1.isOne();
+ int[] U2, S2;
+ if (Z1IsOne)
+ {
+ U2 = X2.x;
+ S2 = Y2.x;
+ }
+ else
+ {
+ S2 = t3;
+ SecP256K1Field.square(Z1.x, S2);
+
+ U2 = t2;
+ SecP256K1Field.multiply(S2, X2.x, U2);
+
+ SecP256K1Field.multiply(S2, Z1.x, S2);
+ SecP256K1Field.multiply(S2, Y2.x, S2);
+ }
+
+ boolean Z2IsOne = Z2.isOne();
+ int[] U1, S1;
+ if (Z2IsOne)
+ {
+ U1 = X1.x;
+ S1 = Y1.x;
+ }
+ else
+ {
+ S1 = t4;
+ SecP256K1Field.square(Z2.x, S1);
+
+ U1 = tt1;
+ SecP256K1Field.multiply(S1, X1.x, U1);
+
+ SecP256K1Field.multiply(S1, Z2.x, S1);
+ SecP256K1Field.multiply(S1, Y1.x, S1);
+ }
+
+ int[] H = Nat256.create();
+ SecP256K1Field.subtract(U1, U2, H);
+
+ int[] R = t2;
+ SecP256K1Field.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.getInfinity();
+ }
+
+ int[] HSquared = t3;
+ SecP256K1Field.square(H, HSquared);
+
+ int[] G = Nat256.create();
+ SecP256K1Field.multiply(HSquared, H, G);
+
+ int[] V = t3;
+ SecP256K1Field.multiply(HSquared, U1, V);
+
+ SecP256K1Field.negate(G, G);
+ Nat256.mul(S1, G, tt1);
+
+ c = Nat256.addBothTo(V, V, G);
+ SecP256K1Field.reduce32(c, G);
+
+ SecP256K1FieldElement X3 = new SecP256K1FieldElement(t4);
+ SecP256K1Field.square(R, X3.x);
+ SecP256K1Field.subtract(X3.x, G, X3.x);
+
+ SecP256K1FieldElement Y3 = new SecP256K1FieldElement(G);
+ SecP256K1Field.subtract(V, X3.x, Y3.x);
+ SecP256K1Field.multiplyAddToExt(Y3.x, R, tt1);
+ SecP256K1Field.reduce(tt1, Y3.x);
+
+ SecP256K1FieldElement Z3 = new SecP256K1FieldElement(H);
+ if (!Z1IsOne)
+ {
+ SecP256K1Field.multiply(Z3.x, Z1.x, Z3.x);
+ }
+ if (!Z2IsOne)
+ {
+ SecP256K1Field.multiply(Z3.x, Z2.x, Z3.x);
+ }
+
+ ECFieldElement[] zs = new ECFieldElement[] { Z3 };
+
+ return new SecP256K1Point(curve, X3, Y3, zs, this.withCompression);
+ }
+
+ // B.3 pg 62
+ public ECPoint twice()
+ {
+ if (this.isInfinity())
+ {
+ return this;
+ }
+
+ ECCurve curve = this.getCurve();
+
+ SecP256K1FieldElement Y1 = (SecP256K1FieldElement)this.y;
+ if (Y1.isZero())
+ {
+ return curve.getInfinity();
+ }
+
+ SecP256K1FieldElement X1 = (SecP256K1FieldElement)this.x, Z1 = (SecP256K1FieldElement)this.zs[0];
+
+ int c;
+
+ int[] Y1Squared = Nat256.create();
+ SecP256K1Field.square(Y1.x, Y1Squared);
+
+ int[] T = Nat256.create();
+ SecP256K1Field.square(Y1Squared, T);
+
+ int[] M = Nat256.create();
+ SecP256K1Field.square(X1.x, M);
+ c = Nat256.addBothTo(M, M, M);
+ SecP256K1Field.reduce32(c, M);
+
+ int[] S = Y1Squared;
+ SecP256K1Field.multiply(Y1Squared, X1.x, S);
+ c = Nat.shiftUpBits(8, S, 2, 0);
+ SecP256K1Field.reduce32(c, S);
+
+ int[] t1 = Nat256.create();
+ c = Nat.shiftUpBits(8, T, 3, 0, t1);
+ SecP256K1Field.reduce32(c, t1);
+
+ SecP256K1FieldElement X3 = new SecP256K1FieldElement(T);
+ SecP256K1Field.square(M, X3.x);
+ SecP256K1Field.subtract(X3.x, S, X3.x);
+ SecP256K1Field.subtract(X3.x, S, X3.x);
+
+ SecP256K1FieldElement Y3 = new SecP256K1FieldElement(S);
+ SecP256K1Field.subtract(S, X3.x, Y3.x);
+ SecP256K1Field.multiply(Y3.x, M, Y3.x);
+ SecP256K1Field.subtract(Y3.x, t1, Y3.x);
+
+ SecP256K1FieldElement Z3 = new SecP256K1FieldElement(M);
+ SecP256K1Field.twice(Y1.x, Z3.x);
+ if (!Z1.isOne())
+ {
+ SecP256K1Field.multiply(Z3.x, Z1.x, Z3.x);
+ }
+
+ return new SecP256K1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }, this.withCompression);
+ }
+
+ public ECPoint twicePlus(ECPoint b)
+ {
+ if (this == b)
+ {
+ return threeTimes();
+ }
+ if (this.isInfinity())
+ {
+ return b;
+ }
+ if (b.isInfinity())
+ {
+ return twice();
+ }
+
+ ECFieldElement Y1 = this.y;
+ if (Y1.isZero())
+ {
+ return b;
+ }
+
+ return twice().add(b);
+ }
+
+ public ECPoint threeTimes()
+ {
+ if (this.isInfinity() || this.y.isZero())
+ {
+ return this;
+ }
+
+ // NOTE: Be careful about recursions between twicePlus and threeTimes
+ return twice().add(this);
+ }
+
+ public ECPoint negate()
+ {
+ if (this.isInfinity())
+ {
+ return this;
+ }
+
+ return new SecP256K1Point(curve, this.x, this.y.negate(), this.zs, this.withCompression);
+ }
+}