public SecP256R1FieldElement(BigInteger x) { if (x == null || x.signum() < 0 || x.compareTo(Q) >= 0) { throw new IllegalArgumentException("x value invalid for SecP256R1FieldElement"); } this.x = SecP256R1Field.fromBigInteger(x); }
int[] t2 = Nat256.create(); SecP256R1Field.square(x1, t1); SecP256R1Field.multiply(t1, x1, t1); SecP256R1Field.squareN(t1, 2, t2); SecP256R1Field.multiply(t2, t1, t2); SecP256R1Field.squareN(t2, 4, t1); SecP256R1Field.multiply(t1, t2, t1); SecP256R1Field.squareN(t1, 8, t2); SecP256R1Field.multiply(t2, t1, t2); SecP256R1Field.squareN(t2, 16, t1); SecP256R1Field.multiply(t1, t2, t1); SecP256R1Field.squareN(t1, 32, t1); SecP256R1Field.multiply(t1, x1, t1); SecP256R1Field.squareN(t1, 96, t1); SecP256R1Field.multiply(t1, x1, t1); SecP256R1Field.squareN(t1, 94, t1); SecP256R1Field.square(t1, t2);
SecP256R1Field.square(Z1.x, S2); SecP256R1Field.multiply(S2, X2.x, U2); SecP256R1Field.multiply(S2, Z1.x, S2); SecP256R1Field.multiply(S2, Y2.x, S2); SecP256R1Field.square(Z2.x, S1); SecP256R1Field.multiply(S1, X1.x, U1); SecP256R1Field.multiply(S1, Z2.x, S1); SecP256R1Field.multiply(S1, Y1.x, S1); SecP256R1Field.subtract(U1, U2, H); SecP256R1Field.subtract(S1, S2, R); SecP256R1Field.square(H, HSquared); SecP256R1Field.multiply(HSquared, H, G); SecP256R1Field.multiply(HSquared, U1, V); SecP256R1Field.negate(G, G); Nat256.mul(S1, G, tt1); SecP256R1Field.reduce32(c, G);
SecP256R1Field.square(Y1.x, Y1Squared); SecP256R1Field.square(Y1Squared, T); SecP256R1Field.square(Z1.x, Z1Squared); SecP256R1Field.subtract(X1.x, Z1Squared, t1); SecP256R1Field.add(X1.x, Z1Squared, M); SecP256R1Field.multiply(M, t1, M); c = Nat256.addBothTo(M, M, M); SecP256R1Field.reduce32(c, M); SecP256R1Field.multiply(Y1Squared, X1.x, S); c = Nat.shiftUpBits(8, S, 2, 0); SecP256R1Field.reduce32(c, S); SecP256R1Field.reduce32(c, t1); SecP256R1Field.square(M, X3.x); SecP256R1Field.subtract(X3.x, S, X3.x); SecP256R1Field.subtract(X3.x, S, X3.x); SecP256R1Field.subtract(S, X3.x, Y3.x); SecP256R1Field.multiply(Y3.x, M, Y3.x); SecP256R1Field.subtract(Y3.x, t1, Y3.x); SecP256R1Field.twice(Y1.x, Z3.x); if (!Z1IsOne)
public static void add(int[] x, int[] y, int[] z) { int c = Nat256.add(x, y, z); if (c != 0 || (z[7] == P7 && Nat256.gte(z, P))) { addPInvTo(z); } }
public ECFieldElement multiply(ECFieldElement b) { int[] z = Nat256.create(); SecP256R1Field.multiply(x, ((SecP256R1FieldElement)b).x, z); return new SecP256R1FieldElement(z); }
public ECFieldElement add(ECFieldElement b) { int[] z = Nat256.create(); SecP256R1Field.add(x, ((SecP256R1FieldElement)b).x, z); return new SecP256R1FieldElement(z); }
public ECFieldElement negate() { int[] z = Nat256.create(); SecP256R1Field.negate(x, z); return new SecP256R1FieldElement(z); }
public ECFieldElement square() { int[] z = Nat256.create(); SecP256R1Field.square(x, z); return new SecP256R1FieldElement(z); }
public ECFieldElement addOne() { int[] z = Nat256.create(); SecP256R1Field.addOne(x, z); return new SecP256R1FieldElement(z); }
SecP256R1Field.square(Z1.x, S2); SecP256R1Field.multiply(S2, X2.x, U2); SecP256R1Field.multiply(S2, Z1.x, S2); SecP256R1Field.multiply(S2, Y2.x, S2); SecP256R1Field.square(Z2.x, S1); SecP256R1Field.multiply(S1, X1.x, U1); SecP256R1Field.multiply(S1, Z2.x, S1); SecP256R1Field.multiply(S1, Y1.x, S1); SecP256R1Field.subtract(U1, U2, H); SecP256R1Field.subtract(S1, S2, R); SecP256R1Field.square(H, HSquared); SecP256R1Field.multiply(HSquared, H, G); SecP256R1Field.multiply(HSquared, U1, V); SecP256R1Field.negate(G, G); Nat256.mul(S1, G, tt1); SecP256R1Field.reduce32(c, G);
SecP256R1Field.square(Y1.x, Y1Squared); SecP256R1Field.square(Y1Squared, T); SecP256R1Field.square(Z1.x, Z1Squared); SecP256R1Field.subtract(X1.x, Z1Squared, t1); SecP256R1Field.add(X1.x, Z1Squared, M); SecP256R1Field.multiply(M, t1, M); c = Nat256.addBothTo(M, M, M); SecP256R1Field.reduce32(c, M); SecP256R1Field.multiply(Y1Squared, X1.x, S); c = Nat.shiftUpBits(8, S, 2, 0); SecP256R1Field.reduce32(c, S); SecP256R1Field.reduce32(c, t1); SecP256R1Field.square(M, X3.x); SecP256R1Field.subtract(X3.x, S, X3.x); SecP256R1Field.subtract(X3.x, S, X3.x); SecP256R1Field.subtract(S, X3.x, Y3.x); SecP256R1Field.multiply(Y3.x, M, Y3.x); SecP256R1Field.subtract(Y3.x, t1, Y3.x); SecP256R1Field.twice(Y1.x, Z3.x); if (!Z1IsOne)
public static void addOne(int[] x, int[] z) { int c = Nat.inc(8, x, z); if (c != 0 || (z[7] == P7 && Nat256.gte(z, P))) { addPInvTo(z); } }
public ECFieldElement multiply(ECFieldElement b) { int[] z = Nat256.create(); SecP256R1Field.multiply(x, ((SecP256R1FieldElement)b).x, z); return new SecP256R1FieldElement(z); }
public ECFieldElement add(ECFieldElement b) { int[] z = Nat256.create(); SecP256R1Field.add(x, ((SecP256R1FieldElement)b).x, z); return new SecP256R1FieldElement(z); }
public ECFieldElement negate() { int[] z = Nat256.create(); SecP256R1Field.negate(x, z); return new SecP256R1FieldElement(z); }
public ECFieldElement square() { int[] z = Nat256.create(); SecP256R1Field.square(x, z); return new SecP256R1FieldElement(z); }
public ECFieldElement addOne() { int[] z = Nat256.create(); SecP256R1Field.addOne(x, z); return new SecP256R1FieldElement(z); }