package org.bouncycastle.math.ec.custom.sec; import java.math.BigInteger; import org.bouncycastle.math.raw.Nat; import org.bouncycastle.math.raw.Nat192; public class SecP192R1Field { private static final long M = 0xFFFFFFFFL; // 2^192 - 2^64 - 1 static final int[] P = new int[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; static final int[] PExt = new int[]{ 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private static final int[] PExtInv = new int[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0x00000001, 0x00000000, 0x00000002 }; private static final int P5 = 0xFFFFFFFF; private static final int PExt11 = 0xFFFFFFFF; public static void add(int[] x, int[] y, int[] z) { int c = Nat192.add(x, y, z); if (c != 0 || (z[5] == P5 && Nat192.gte(z, P))) { addPInvTo(z); } } public static void addExt(int[] xx, int[] yy, int[] zz) { int c = Nat.add(12, xx, yy, zz); if (c != 0 || (zz[11] == PExt11 && Nat.gte(12, zz, PExt))) { if (Nat.addTo(PExtInv.length, PExtInv, zz) != 0) { Nat.incAt(12, zz, PExtInv.length); } } } public static void addOne(int[] x, int[] z) { int c = Nat.inc(6, x, z); if (c != 0 || (z[5] == P5 && Nat192.gte(z, P))) { addPInvTo(z); } } public static int[] fromBigInteger(BigInteger x) { int[] z = Nat192.fromBigInteger(x); if (z[5] == P5 && Nat192.gte(z, P)) { Nat192.subFrom(P, z); } return z; } public static void half(int[] x, int[] z) { if ((x[0] & 1) == 0) { Nat.shiftDownBit(6, x, 0, z); } else { int c = Nat192.add(x, P, z); Nat.shiftDownBit(6, z, c); } } public static void multiply(int[] x, int[] y, int[] z) { int[] tt = Nat192.createExt(); Nat192.mul(x, y, tt); reduce(tt, z); } public static void multiplyAddToExt(int[] x, int[] y, int[] zz) { int c = Nat192.mulAddTo(x, y, zz); if (c != 0 || (zz[11] == PExt11 && Nat.gte(12, zz, PExt))) { if (Nat.addTo(PExtInv.length, PExtInv, zz) != 0) { Nat.incAt(12, zz, PExtInv.length); } } } public static void negate(int[] x, int[] z) { if (Nat192.isZero(x)) { Nat192.zero(z); } else { Nat192.sub(P, x, z); } } public static void reduce(int[] xx, int[] z) { long xx06 = xx[6] & M, xx07 = xx[7] & M, xx08 = xx[8] & M; long xx09 = xx[9] & M, xx10 = xx[10] & M, xx11 = xx[11] & M; long t0 = xx06 + xx10; long t1 = xx07 + xx11; long cc = 0; cc += (xx[0] & M) + t0; int z0 = (int)cc; cc >>= 32; cc += (xx[1] & M) + t1; z[1] = (int)cc; cc >>= 32; t0 += xx08; t1 += xx09; cc += (xx[2] & M) + t0; long z2 = cc & M; cc >>= 32; cc += (xx[3] & M) + t1; z[3] = (int)cc; cc >>= 32; t0 -= xx06; t1 -= xx07; cc += (xx[4] & M) + t0; z[4] = (int)cc; cc >>= 32; cc += (xx[5] & M) + t1; z[5] = (int)cc; cc >>= 32; z2 += cc; cc += (z0 & M); z[0] = (int)cc; cc >>= 32; if (cc != 0) { cc += (z[1] & M); z[1] = (int)cc; z2 += cc >> 32; } z[2] = (int)z2; cc = z2 >> 32; // assert cc == 0 || cc == 1; if ((cc != 0 && Nat.incAt(6, z, 3) != 0) || (z[5] == P5 && Nat192.gte(z, P))) { addPInvTo(z); } } public static void reduce32(int x, int[] z) { long cc = 0; if (x != 0) { long xx06 = x & M; cc += (z[0] & M) + xx06; z[0] = (int)cc; cc >>= 32; if (cc != 0) { cc += (z[1] & M); z[1] = (int)cc; cc >>= 32; } cc += (z[2] & M) + xx06; z[2] = (int)cc; cc >>= 32; // assert cc == 0 || cc == 1; } if ((cc != 0 && Nat.incAt(6, z, 3) != 0) || (z[5] == P5 && Nat192.gte(z, P))) { addPInvTo(z); } } public static void square(int[] x, int[] z) { int[] tt = Nat192.createExt(); Nat192.square(x, tt); reduce(tt, z); } public static void squareN(int[] x, int n, int[] z) { // assert n > 0; int[] tt = Nat192.createExt(); Nat192.square(x, tt); reduce(tt, z); while (--n > 0) { Nat192.square(z, tt); reduce(tt, z); } } public static void subtract(int[] x, int[] y, int[] z) { int c = Nat192.sub(x, y, z); if (c != 0) { subPInvFrom(z); } } public static void subtractExt(int[] xx, int[] yy, int[] zz) { int c = Nat.sub(12, xx, yy, zz); if (c != 0) { if (Nat.subFrom(PExtInv.length, PExtInv, zz) != 0) { Nat.decAt(12, zz, PExtInv.length); } } } public static void twice(int[] x, int[] z) { int c = Nat.shiftUpBit(6, x, 0, z); if (c != 0 || (z[5] == P5 && Nat192.gte(z, P))) { addPInvTo(z); } } private static void addPInvTo(int[] z) { long c = (z[0] & M) + 1; z[0] = (int)c; c >>= 32; if (c != 0) { c += (z[1] & M); z[1] = (int)c; c >>= 32; } c += (z[2] & M) + 1; z[2] = (int)c; c >>= 32; if (c != 0) { Nat.incAt(6, z, 3); } } private static void subPInvFrom(int[] z) { long c = (z[0] & M) - 1; z[0] = (int)c; c >>= 32; if (c != 0) { c += (z[1] & M); z[1] = (int)c; c >>= 32; } c += (z[2] & M) - 1; z[2] = (int)c; c >>= 32; if (c != 0) { Nat.decAt(6, z, 3); } } }