1d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Rootpackage org.bouncycastle.math.ec.custom.sec;
2d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
3d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Rootimport java.math.BigInteger;
4d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
5d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Rootimport org.bouncycastle.math.raw.Nat;
6d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Rootimport org.bouncycastle.math.raw.Nat192;
7d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
8d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Rootpublic class SecP192K1Field
9d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root{
10d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    // 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1
11d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    static final int[] P = new int[]{ 0xFFFFEE37, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF };
12d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    static final int[] PExt = new int[]{ 0x013C4FD1, 0x00002392, 0x00000001, 0x00000000, 0x00000000,
13d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        0x00000000, 0xFFFFDC6E, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF };
14d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    private static final int[] PExtInv = new int[]{ 0xFEC3B02F, 0xFFFFDC6D, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF,
15d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        0xFFFFFFFF, 0x00002391, 0x00000002 };
16d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    private static final int P5 = 0xFFFFFFFF;
17d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    private static final int PExt11 = 0xFFFFFFFF;
18d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    private static final int PInv33 = 0x11C9;
19d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
20d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void add(int[] x, int[] y, int[] z)
21d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
22d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int c = Nat192.add(x, y, z);
23d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if (c != 0 || (z[5] == P5 && Nat192.gte(z, P)))
24d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
25d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat.add33To(6, PInv33, z);
26d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
27d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
28d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
29d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void addExt(int[] xx, int[] yy, int[] zz)
30d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
31d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int c = Nat.add(12, xx, yy, zz);
32d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if (c != 0 || (zz[11] == PExt11 && Nat.gte(12, zz, PExt)))
33d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
34d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            if (Nat.addTo(PExtInv.length, PExtInv, zz) != 0)
35d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            {
36d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root                Nat.incAt(12, zz, PExtInv.length);
37d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            }
38d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
39d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
40d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
41d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void addOne(int[] x, int[] z)
42d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
43d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int c = Nat.inc(6, x, z);
44d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if (c != 0 || (z[5] == P5 && Nat192.gte(z, P)))
45d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
46d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat.add33To(6, PInv33, z);
47d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
48d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
49d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
50d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static int[] fromBigInteger(BigInteger x)
51d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
52d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int[] z = Nat192.fromBigInteger(x);
53d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if (z[5] == P5 && Nat192.gte(z, P))
54d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
55d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat192.subFrom(P, z);
56d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
57d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        return z;
58d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
59d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
60d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void half(int[] x, int[] z)
61d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
62d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if ((x[0] & 1) == 0)
63d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
64d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat.shiftDownBit(6, x, 0, z);
65d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
66d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        else
67d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
68d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            int c = Nat192.add(x, P, z);
69d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat.shiftDownBit(6, z, c);
70d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
71d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
72d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
73d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void multiply(int[] x, int[] y, int[] z)
74d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
75d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int[] tt = Nat192.createExt();
76d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        Nat192.mul(x, y, tt);
77d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        reduce(tt, z);
78d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
79d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
80d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void multiplyAddToExt(int[] x, int[] y, int[] zz)
81d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
82d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int c = Nat192.mulAddTo(x, y, zz);
83d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if (c != 0 || (zz[11] == PExt11 && Nat.gte(12, zz, PExt)))
84d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
85d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            if (Nat.addTo(PExtInv.length, PExtInv, zz) != 0)
86d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            {
87d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root                Nat.incAt(12, zz, PExtInv.length);
88d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            }
89d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
90d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
91d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
92d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void negate(int[] x, int[] z)
93d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
94d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if (Nat192.isZero(x))
95d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
96d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat192.zero(z);
97d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
98d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        else
99d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
100d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat192.sub(P, x, z);
101d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
102d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
103d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
104d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void reduce(int[] xx, int[] z)
105d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
106d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        long cc = Nat192.mul33Add(PInv33, xx, 6, xx, 0, z, 0);
107d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int c = Nat192.mul33DWordAdd(PInv33, cc, z, 0);
108d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
109d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        // assert c == 0L || c == 1L;
110d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
111d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if (c != 0 || (z[5] == P5 && Nat192.gte(z, P)))
112d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
113d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat.add33To(6, PInv33, z);
114d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
115d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
116d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
117d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void reduce32(int x, int[] z)
118d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
119d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if ((x != 0 && Nat192.mul33WordAdd(PInv33, x, z, 0) != 0)
120d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            || (z[5] == P5 && Nat192.gte(z, P)))
121d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
122d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat.add33To(6, PInv33, z);
123d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
124d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
125d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
126d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void square(int[] x, int[] z)
127d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
128d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int[] tt = Nat192.createExt();
129d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        Nat192.square(x, tt);
130d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        reduce(tt, z);
131d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
132d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
133d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void squareN(int[] x, int n, int[] z)
134d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
135d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root//        assert n > 0;
136d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
137d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int[] tt = Nat192.createExt();
138d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        Nat192.square(x, tt);
139d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        reduce(tt, z);
140d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
141d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        while (--n > 0)
142d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
143d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat192.square(z, tt);
144d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            reduce(tt, z);
145d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
146d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
147d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
148d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void subtract(int[] x, int[] y, int[] z)
149d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
150d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int c = Nat192.sub(x, y, z);
151d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if (c != 0)
152d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
153d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat.sub33From(6, PInv33, z);
154d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
155d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
156d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
157d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void subtractExt(int[] xx, int[] yy, int[] zz)
158d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
159d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int c = Nat.sub(12, xx, yy, zz);
160d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if (c != 0)
161d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
162d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            if (Nat.subFrom(PExtInv.length, PExtInv, zz) != 0)
163d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            {
164d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root                Nat.decAt(12, zz, PExtInv.length);
165d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            }
166d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
167d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
168d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root
169d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    public static void twice(int[] x, int[] z)
170d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    {
171d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        int c = Nat.shiftUpBit(6, x, 0, z);
172d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        if (c != 0 || (z[5] == P5 && Nat192.gte(z, P)))
173d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        {
174d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root            Nat.add33To(6, PInv33, z);
175d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root        }
176d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root    }
177d001700a15b8bd733ae344c1fc315b97c43c6590Kenny Root}
178