public ECFieldElement addOne() { int[] z = Nat160.create(); SecP160R2Field.addOne(x, z); return new SecP160R2FieldElement(z); }
public SecP160R2FieldElement(BigInteger x) { if (x == null || x.signum() < 0 || x.compareTo(Q) >= 0) { throw new IllegalArgumentException("x value invalid for SecP160R2FieldElement"); } this.x = SecP160R2Field.fromBigInteger(x); }
SecP160R2Field.square(x1, x2); SecP160R2Field.multiply(x2, x1, x2); int[] x3 = Nat160.create(); SecP160R2Field.square(x2, x3); SecP160R2Field.multiply(x3, x1, x3); int[] x4 = Nat160.create(); SecP160R2Field.square(x3, x4); SecP160R2Field.multiply(x4, x1, x4); int[] x7 = Nat160.create(); SecP160R2Field.squareN(x4, 3, x7); SecP160R2Field.multiply(x7, x3, x7); int[] x14 = x4; SecP160R2Field.squareN(x7, 7, x14); SecP160R2Field.multiply(x14, x7, x14); int[] x17 = x7; SecP160R2Field.squareN(x14, 3, x17); SecP160R2Field.multiply(x17, x3, x17); int[] x31 = Nat160.create(); SecP160R2Field.squareN(x17, 14, x31); SecP160R2Field.multiply(x31, x14, x31); int[] x62 = x14; SecP160R2Field.squareN(x31, 31, x62); SecP160R2Field.multiply(x62, x31, x62); int[] x124 = x31; SecP160R2Field.squareN(x62, 62, x124); SecP160R2Field.multiply(x124, x62, x124); int[] x127 = x62; SecP160R2Field.squareN(x124, 3, x127); SecP160R2Field.multiply(x127, x3, x127);
SecP160R2Field.square(Z1.x, S2); SecP160R2Field.multiply(S2, X2.x, U2); SecP160R2Field.multiply(S2, Z1.x, S2); SecP160R2Field.multiply(S2, Y2.x, S2); SecP160R2Field.square(Z2.x, S1); SecP160R2Field.multiply(S1, X1.x, U1); SecP160R2Field.multiply(S1, Z2.x, S1); SecP160R2Field.multiply(S1, Y1.x, S1); SecP160R2Field.subtract(U1, U2, H); SecP160R2Field.subtract(S1, S2, R); SecP160R2Field.square(H, HSquared); SecP160R2Field.multiply(HSquared, H, G); SecP160R2Field.multiply(HSquared, U1, V); SecP160R2Field.negate(G, G); Nat160.mul(S1, G, tt1); SecP160R2Field.reduce32(c, G);
SecP160R2Field.square(Y1.x, Y1Squared); SecP160R2Field.square(Y1Squared, T); SecP160R2Field.square(Z1.x, Z1Squared); SecP160R2Field.subtract(X1.x, Z1Squared, t1); SecP160R2Field.add(X1.x, Z1Squared, M); SecP160R2Field.multiply(M, t1, M); c = Nat160.addBothTo(M, M, M); SecP160R2Field.reduce32(c, M); SecP160R2Field.multiply(Y1Squared, X1.x, S); c = Nat.shiftUpBits(5, S, 2, 0); SecP160R2Field.reduce32(c, S); SecP160R2Field.reduce32(c, t1); SecP160R2Field.square(M, X3.x); SecP160R2Field.subtract(X3.x, S, X3.x); SecP160R2Field.subtract(X3.x, S, X3.x); SecP160R2Field.subtract(S, X3.x, Y3.x); SecP160R2Field.multiply(Y3.x, M, Y3.x); SecP160R2Field.subtract(Y3.x, t1, Y3.x); SecP160R2Field.twice(Y1.x, Z3.x); if (!Z1IsOne)
public ECFieldElement multiply(ECFieldElement b) { int[] z = Nat160.create(); SecP160R2Field.multiply(x, ((SecP160R2FieldElement)b).x, z); return new SecP160R2FieldElement(z); }
public ECFieldElement square() { int[] z = Nat160.create(); SecP160R2Field.square(x, z); return new SecP160R2FieldElement(z); }
public ECFieldElement add(ECFieldElement b) { int[] z = Nat160.create(); SecP160R2Field.add(x, ((SecP160R2FieldElement)b).x, z); return new SecP160R2FieldElement(z); }
public ECFieldElement negate() { int[] z = Nat160.create(); SecP160R2Field.negate(x, z); return new SecP160R2FieldElement(z); }
SecP160R2Field.square(Z1.x, S2); SecP160R2Field.multiply(S2, X2.x, U2); SecP160R2Field.multiply(S2, Z1.x, S2); SecP160R2Field.multiply(S2, Y2.x, S2); SecP160R2Field.square(Z2.x, S1); SecP160R2Field.multiply(S1, X1.x, U1); SecP160R2Field.multiply(S1, Z2.x, S1); SecP160R2Field.multiply(S1, Y1.x, S1); SecP160R2Field.subtract(U1, U2, H); SecP160R2Field.subtract(S1, S2, R); SecP160R2Field.square(H, HSquared); SecP160R2Field.multiply(HSquared, H, G); SecP160R2Field.multiply(HSquared, U1, V); SecP160R2Field.negate(G, G); Nat160.mul(S1, G, tt1); SecP160R2Field.reduce32(c, G);
SecP160R2Field.square(Y1.x, Y1Squared); SecP160R2Field.square(Y1Squared, T); SecP160R2Field.square(X1.x, M); c = Nat160.addBothTo(M, M, M); SecP160R2Field.reduce32(c, M); SecP160R2Field.multiply(Y1Squared, X1.x, S); c = Nat.shiftUpBits(5, S, 2, 0); SecP160R2Field.reduce32(c, S); SecP160R2Field.reduce32(c, t1); SecP160R2Field.square(M, X3.x); SecP160R2Field.subtract(X3.x, S, X3.x); SecP160R2Field.subtract(X3.x, S, X3.x); SecP160R2Field.subtract(S, X3.x, Y3.x); SecP160R2Field.multiply(Y3.x, M, Y3.x); SecP160R2Field.subtract(Y3.x, t1, Y3.x); SecP160R2Field.twice(Y1.x, Z3.x); if (!Z1.isOne()) SecP160R2Field.multiply(Z3.x, Z1.x, Z3.x);
public static void multiply(int[] x, int[] y, int[] z) { int[] tt = Nat160.createExt(); Nat160.mul(x, y, tt); reduce(tt, z); }
public ECFieldElement divide(ECFieldElement b) { // return multiply(b.invert()); int[] z = Nat160.create(); Mod.invert(SecP160R2Field.P, ((SecP160R2FieldElement)b).x, z); SecP160R2Field.multiply(z, x, z); return new SecP160R2FieldElement(z); }
public static void square(int[] x, int[] z) { int[] tt = Nat160.createExt(); Nat160.square(x, tt); reduce(tt, z); }