camellia.cpp

// camellia.cpp - by Kevin Springle, 2003
// This code is hereby placed in the public domain.
 
/*
Optimisations and defense against timing attacks added in Jan 2007 by Wei Dai.
 
The first 2 rounds and the last round seem especially vulnerable to timing
attacks. The protection is similar to what was implemented for Rijndael.
See comments at top of rijndael.cpp for more details.
*/
 
#include "pch.h"
#include "config.h"
 
#if CRYPTOPP_MSC_VERSION
# pragma warning(disable: 4456)
# if (CRYPTOPP_MSC_VERSION >= 1400)
#  pragma warning(disable: 6246)
# endif
#endif
 
#include "camellia.h"
#include "misc.h"
#include "cpu.h"
 
NAMESPACE_BEGIN(CryptoPP)
 
// round implementation that uses a small table for protection against timing attacks
#define SLOW_ROUND(lh, ll, rh, rl, kh, kl)  {                           \
    word32 zr = ll ^ kl;                                                \
    word32 zl = lh ^ kh;                                                \
    zr= rotlConstant<1>(s1[GETBYTE(zr, 3)]) |                           \
        (rotrConstant<1>(s1[GETBYTE(zr, 2)]) << 24) |                   \
        (s1[rotlConstant<1>(CRYPTOPP_GET_BYTE_AS_BYTE(zr, 1))] << 16) | \
        (s1[GETBYTE(zr, 0)] << 8);                                      \
    zl= (s1[GETBYTE(zl, 3)] << 24) |                                    \
        (rotlConstant<1>(s1[GETBYTE(zl, 2)]) << 16) |                   \
        (rotrConstant<1>(s1[GETBYTE(zl, 1)]) << 8) |                    \
        s1[rotlConstant<1>(CRYPTOPP_GET_BYTE_AS_BYTE(zl, 0))];          \
    zl ^= zr;                                                           \
    zr = zl ^ rotlConstant<8>(zr);                                      \
    zl = zr ^ rotrConstant<8>(zl);                                      \
    rh ^= rotlConstant<16>(zr);                                         \
    rh ^= zl;                                                           \
    rl ^= rotlConstant<8>(zl);                                          \
    }
 
// normal round - same output as above but using larger tables for faster speed
#define ROUND(lh, ll, rh, rl, kh, kl)   {   \
    word32 th = lh ^ kh;                    \
    word32 tl = ll ^ kl;                    \
    word32 d = SP[0][GETBYTE(tl,0)] ^ SP[1][GETBYTE(tl,3)] ^ SP[2][GETBYTE(tl,2)] ^ SP[3][GETBYTE(tl,1)];   \
    word32 u = SP[0][GETBYTE(th,3)] ^ SP[1][GETBYTE(th,2)] ^ SP[2][GETBYTE(th,1)] ^ SP[3][GETBYTE(th,0)];   \
    d ^= u;                                 \
    rh ^= d;                                \
    rl ^= d;                                \
    rl ^= rotrConstant<8>(u);}
 
#define DOUBLE_ROUND(lh, ll, rh, rl, k0, k1, k2, k3)    \
    ROUND(lh, ll, rh, rl, k0, k1)                       \
    ROUND(rh, rl, lh, ll, k2, k3)
 
#if (CRYPTOPP_LITTLE_ENDIAN)
#define EFI(i) (1-(i))
#else
#define EFI(i) (i)
#endif
 
void Camellia::Base::UncheckedSetKey(const byte *key, unsigned int keylen, const NameValuePairs &)
{
    m_rounds = (keylen >= 24) ? 4 : 3;
    unsigned int kslen = (8 * m_rounds + 2);
    m_key.New(kslen*2);
    word32 *ks32 = m_key.data();
    int m=0, a=0;
    if (!IsForwardTransformation())
        m = -1, a = kslen-1;
 
    word32 kl0, kl1, kl2, kl3;
    GetBlock<word32, BigEndian> getBlock(key);
    getBlock(kl0)(kl1)(kl2)(kl3);
    word32 k0=kl0, k1=kl1, k2=kl2, k3=kl3;
 
#define CALC_ADDR2(base, i, j)  ((byte *)(base)+8*(i)+4*(j)+((-16*(i))&m))
#define CALC_ADDR(base, i)  CALC_ADDR2(base, i, 0)
 
#if 1
    word64 kwl, kwr;
    ks32 += 2*a;
#define PREPARE_KS_ROUNDS           \
    kwl = (word64(k0) << 32) | k1;  \
    kwr = (word64(k2) << 32) | k3
#define KS_ROUND_0(i)                           \
    CRYPTOPP_ASSERT(IsAlignedOn(CALC_ADDR(ks32, i+EFI(0)),GetAlignmentOf<word64>()));   \
    CRYPTOPP_ASSERT(IsAlignedOn(CALC_ADDR(ks32, i+EFI(1)),GetAlignmentOf<word64>()));   \
    *(word64*)(void*)CALC_ADDR(ks32, i+EFI(0)) = kwl;   \
    *(word64*)(void*)CALC_ADDR(ks32, i+EFI(1)) = kwr
#define KS_ROUND(i, r, which)                                                                                       \
    CRYPTOPP_ASSERT(IsAlignedOn(CALC_ADDR(ks32, i+EFI(r<64)),GetAlignmentOf<word64>()));    \
    CRYPTOPP_ASSERT(IsAlignedOn(CALC_ADDR(ks32, i+EFI(r>64)),GetAlignmentOf<word64>()));    \
    if (which & (1<<int(r<64))) *(word64*)(void*)CALC_ADDR(ks32, i+EFI(r<64)) = (kwr << (r%64)) | (kwl >> (64 - (r%64)));   \
    if (which & (1<<int(r>64))) *(word64*)(void*)CALC_ADDR(ks32, i+EFI(r>64)) = (kwl << (r%64)) | (kwr >> (64 - (r%64)))
#else
    // SSE2 version is 30% faster on Intel Core 2. Doesn't seem worth the hassle of maintenance, but left here
    // #if'd out in case someone needs it.
    __m128i kw, kw2;
    __m128i *ks128 = (__m128i *)ks32+a/2;
    ks32 += 2*a;
#define PREPARE_KS_ROUNDS                                                   \
    kw = _mm_set_epi32(k0, k1, k2, k3);                                     \
    if (m) kw2 = kw, kw = _mm_shuffle_epi32(kw, _MM_SHUFFLE(1, 0, 3, 2));   \
    else kw2 = _mm_shuffle_epi32(kw, _MM_SHUFFLE(1, 0, 3, 2))
#define KS_ROUND_0(i)                                       \
    _mm_store_si128((__m128i *)CALC_ADDR(ks128, i), kw)
#define KS_ROUND(i, r, which)   {                                                                               \
    __m128i temp;                                                                                               \
    if (r<64 && (which!=1 || m)) temp = _mm_or_si128(_mm_slli_epi64(kw, r%64), _mm_srli_epi64(kw2, 64-r%64));   \
    else temp = _mm_or_si128(_mm_slli_epi64(kw2, r%64), _mm_srli_epi64(kw, 64-r%64));                           \
    if (which & 2) _mm_store_si128((__m128i *)CALC_ADDR(ks128, i), temp);                                       \
    else _mm_storel_epi64((__m128i*)CALC_ADDR(ks32, i+EFI(0)), temp);                                           \
    }
#endif
 
    if (keylen == 16)
    {
        // KL
        PREPARE_KS_ROUNDS;
        KS_ROUND_0(0);
        KS_ROUND(4, 15, 3);
        KS_ROUND(10, 45, 3);
        KS_ROUND(12, 60, 2);
        KS_ROUND(16, 77, 3);
        KS_ROUND(18, 94, 3);
        KS_ROUND(22, 111, 3);
 
        // KA
        k0=kl0, k1=kl1, k2=kl2, k3=kl3;
        DOUBLE_ROUND(k0, k1, k2, k3, 0xA09E667Ful, 0x3BCC908Bul, 0xB67AE858ul, 0x4CAA73B2ul);
        k0^=kl0, k1^=kl1, k2^=kl2, k3^=kl3;
        DOUBLE_ROUND(k0, k1, k2, k3, 0xC6EF372Ful, 0xE94F82BEul, 0x54FF53A5ul, 0xF1D36F1Cul);
 
        PREPARE_KS_ROUNDS;
        KS_ROUND_0(2);
        KS_ROUND(6, 15, 3);
        KS_ROUND(8, 30, 3);
        KS_ROUND(12, 45, 1);
        KS_ROUND(14, 60, 3);
        KS_ROUND(20, 94, 3);
        KS_ROUND(24, 47, 3);
    }
    else
    {
        // KL
        PREPARE_KS_ROUNDS;
        KS_ROUND_0(0);
        KS_ROUND(12, 45, 3);
        KS_ROUND(16, 60, 3);
        KS_ROUND(22, 77, 3);
        KS_ROUND(30, 111, 3);
 
        // KR
        word32 kr0, kr1, kr2, kr3;
        GetBlock<word32, BigEndian>(key+16)(kr0)(kr1);
        if (keylen == 24)
            kr2 = ~kr0, kr3 = ~kr1;
        else
            GetBlock<word32, BigEndian>(key+24)(kr2)(kr3);
        k0=kr0, k1=kr1, k2=kr2, k3=kr3;
 
        PREPARE_KS_ROUNDS;
        KS_ROUND(4, 15, 3);
        KS_ROUND(8, 30, 3);
        KS_ROUND(18, 60, 3);
        KS_ROUND(26, 94, 3);
 
        // KA
        k0^=kl0, k1^=kl1, k2^=kl2, k3^=kl3;
        DOUBLE_ROUND(k0, k1, k2, k3, 0xA09E667Ful, 0x3BCC908Bul, 0xB67AE858ul, 0x4CAA73B2ul);
        k0^=kl0, k1^=kl1, k2^=kl2, k3^=kl3;
        DOUBLE_ROUND(k0, k1, k2, k3, 0xC6EF372Ful, 0xE94F82BEul, 0x54FF53A5ul, 0xF1D36F1Cul);
 
        PREPARE_KS_ROUNDS;
        KS_ROUND(6, 15, 3);
        KS_ROUND(14, 45, 3);
        KS_ROUND(24, 77, 3);
        KS_ROUND(28, 94, 3);
 
        // KB
        k0^=kr0, k1^=kr1, k2^=kr2, k3^=kr3;
        DOUBLE_ROUND(k0, k1, k2, k3, 0x10E527FAul, 0xDE682D1Dul, 0xB05688C2ul, 0xB3E6C1FDul);
 
        PREPARE_KS_ROUNDS;
        KS_ROUND_0(2);
        KS_ROUND(10, 30, 3);
        KS_ROUND(20, 60, 3);
        KS_ROUND(32, 47, 3);
    }
}
 
void Camellia::Base::ProcessAndXorBlock(const byte *inBlock, const byte *xorBlock, byte *outBlock) const
{
#define KS(i, j) ks[i*4 + EFI(j/2)*2 + EFI(j%2)]
 
#define FL(klh, kll, krh, krl)      \
    ll ^= rotlConstant<1>(lh & klh);\
    lh ^= (ll | kll);               \
    rh ^= (rl | krl);               \
    rl ^= rotlConstant<1>(rh & krh);
 
    word32 lh, ll, rh, rl;
    typedef BlockGetAndPut<word32, BigEndian> Block;
    Block::Get(inBlock)(lh)(ll)(rh)(rl);
    const word32 *ks = m_key.data();
    lh ^= KS(0,0);
    ll ^= KS(0,1);
    rh ^= KS(0,2);
    rl ^= KS(0,3);
 
    // Timing attack countermeasure. see comments in Rijndael for more details
    const int cacheLineSize = GetCacheLineSize();
    unsigned int i;
    volatile word32 _u = 0;
    word32 u = _u;
 
    for (i=0; i<256; i+=cacheLineSize)
        u &= *(const word32 *)(void*)(s1+i);
    u &= *(const word32 *)(void*)(s1+252);
    lh |= u; ll |= u;
 
    SLOW_ROUND(lh, ll, rh, rl, KS(1,0), KS(1,1))
    SLOW_ROUND(rh, rl, lh, ll, KS(1,2), KS(1,3))
    for (i = m_rounds-1; i > 0; --i)
    {
        DOUBLE_ROUND(lh, ll, rh, rl, KS(2,0), KS(2,1), KS(2,2), KS(2,3))
        DOUBLE_ROUND(lh, ll, rh, rl, KS(3,0), KS(3,1), KS(3,2), KS(3,3))
        FL(KS(4,0), KS(4,1), KS(4,2), KS(4,3));
        DOUBLE_ROUND(lh, ll, rh, rl, KS(5,0), KS(5,1), KS(5,2), KS(5,3))
        ks += 16;
    }
    DOUBLE_ROUND(lh, ll, rh, rl, KS(2,0), KS(2,1), KS(2,2), KS(2,3))
    ROUND(lh, ll, rh, rl, KS(3,0), KS(3,1))
    SLOW_ROUND(rh, rl, lh, ll, KS(3,2), KS(3,3))
    lh ^= KS(4,0);
    ll ^= KS(4,1);
    rh ^= KS(4,2);
    rl ^= KS(4,3);
    Block::Put(xorBlock, outBlock)(rh)(rl)(lh)(ll);
}
 
// The Camellia s-boxes
 
CRYPTOPP_ALIGN_DATA(4)
const byte Camellia::Base::s1[256] =
{
    112,130,44,236,179,39,192,229,228,133,87,53,234,12,174,65,
    35,239,107,147,69,25,165,33,237,14,79,78,29,101,146,189,
    134,184,175,143,124,235,31,206,62,48,220,95,94,197,11,26,
    166,225,57,202,213,71,93,61,217,1,90,214,81,86,108,77,
    139,13,154,102,251,204,176,45,116,18,43,32,240,177,132,153,
    223,76,203,194,52,126,118,5,109,183,169,49,209,23,4,215,
    20,88,58,97,222,27,17,28,50,15,156,22,83,24,242,34,
    254,68,207,178,195,181,122,145,36,8,232,168,96,252,105,80,
    170,208,160,125,161,137,98,151,84,91,30,149,224,255,100,210,
    16,196,0,72,163,247,117,219,138,3,230,218,9,63,221,148,
    135,92,131,2,205,74,144,51,115,103,246,243,157,127,191,226,
    82,155,216,38,200,55,198,59,129,150,111,75,19,190,99,46,
    233,121,167,140,159,110,188,142,41,245,249,182,47,253,180,89,
    120,152,6,106,231,70,113,186,212,37,171,66,136,162,141,250,
    114,7,185,85,248,238,172,10,54,73,42,104,60,56,241,164,
    64,40,211,123,187,201,67,193,21,227,173,244,119,199,128,158
};
 
const word32 Camellia::Base::SP[4][256] = {
    {
    0x70707000, 0x82828200, 0x2c2c2c00, 0xececec00,
    0xb3b3b300, 0x27272700, 0xc0c0c000, 0xe5e5e500,
    0xe4e4e400, 0x85858500, 0x57575700, 0x35353500,
    0xeaeaea00, 0x0c0c0c00, 0xaeaeae00, 0x41414100,
    0x23232300, 0xefefef00, 0x6b6b6b00, 0x93939300,
    0x45454500, 0x19191900, 0xa5a5a500, 0x21212100,
    0xededed00, 0x0e0e0e00, 0x4f4f4f00, 0x4e4e4e00,
    0x1d1d1d00, 0x65656500, 0x92929200, 0xbdbdbd00,
    0x86868600, 0xb8b8b800, 0xafafaf00, 0x8f8f8f00,
    0x7c7c7c00, 0xebebeb00, 0x1f1f1f00, 0xcecece00,
    0x3e3e3e00, 0x30303000, 0xdcdcdc00, 0x5f5f5f00,
    0x5e5e5e00, 0xc5c5c500, 0x0b0b0b00, 0x1a1a1a00,
    0xa6a6a600, 0xe1e1e100, 0x39393900, 0xcacaca00,
    0xd5d5d500, 0x47474700, 0x5d5d5d00, 0x3d3d3d00,
    0xd9d9d900, 0x01010100, 0x5a5a5a00, 0xd6d6d600,
    0x51515100, 0x56565600, 0x6c6c6c00, 0x4d4d4d00,
    0x8b8b8b00, 0x0d0d0d00, 0x9a9a9a00, 0x66666600,
    0xfbfbfb00, 0xcccccc00, 0xb0b0b000, 0x2d2d2d00,
    0x74747400, 0x12121200, 0x2b2b2b00, 0x20202000,
    0xf0f0f000, 0xb1b1b100, 0x84848400, 0x99999900,
    0xdfdfdf00, 0x4c4c4c00, 0xcbcbcb00, 0xc2c2c200,
    0x34343400, 0x7e7e7e00, 0x76767600, 0x05050500,
    0x6d6d6d00, 0xb7b7b700, 0xa9a9a900, 0x31313100,
    0xd1d1d100, 0x17171700, 0x04040400, 0xd7d7d700,
    0x14141400, 0x58585800, 0x3a3a3a00, 0x61616100,
    0xdedede00, 0x1b1b1b00, 0x11111100, 0x1c1c1c00,
    0x32323200, 0x0f0f0f00, 0x9c9c9c00, 0x16161600,
    0x53535300, 0x18181800, 0xf2f2f200, 0x22222200,
    0xfefefe00, 0x44444400, 0xcfcfcf00, 0xb2b2b200,
    0xc3c3c300, 0xb5b5b500, 0x7a7a7a00, 0x91919100,
    0x24242400, 0x08080800, 0xe8e8e800, 0xa8a8a800,
    0x60606000, 0xfcfcfc00, 0x69696900, 0x50505000,
    0xaaaaaa00, 0xd0d0d000, 0xa0a0a000, 0x7d7d7d00,
    0xa1a1a100, 0x89898900, 0x62626200, 0x97979700,
    0x54545400, 0x5b5b5b00, 0x1e1e1e00, 0x95959500,
    0xe0e0e000, 0xffffff00, 0x64646400, 0xd2d2d200,
    0x10101000, 0xc4c4c400, 0x00000000, 0x48484800,
    0xa3a3a300, 0xf7f7f700, 0x75757500, 0xdbdbdb00,
    0x8a8a8a00, 0x03030300, 0xe6e6e600, 0xdadada00,
    0x09090900, 0x3f3f3f00, 0xdddddd00, 0x94949400,
    0x87878700, 0x5c5c5c00, 0x83838300, 0x02020200,
    0xcdcdcd00, 0x4a4a4a00, 0x90909000, 0x33333300,
    0x73737300, 0x67676700, 0xf6f6f600, 0xf3f3f300,
    0x9d9d9d00, 0x7f7f7f00, 0xbfbfbf00, 0xe2e2e200,
    0x52525200, 0x9b9b9b00, 0xd8d8d800, 0x26262600,
    0xc8c8c800, 0x37373700, 0xc6c6c600, 0x3b3b3b00,
    0x81818100, 0x96969600, 0x6f6f6f00, 0x4b4b4b00,
    0x13131300, 0xbebebe00, 0x63636300, 0x2e2e2e00,
    0xe9e9e900, 0x79797900, 0xa7a7a700, 0x8c8c8c00,
    0x9f9f9f00, 0x6e6e6e00, 0xbcbcbc00, 0x8e8e8e00,
    0x29292900, 0xf5f5f500, 0xf9f9f900, 0xb6b6b600,
    0x2f2f2f00, 0xfdfdfd00, 0xb4b4b400, 0x59595900,
    0x78787800, 0x98989800, 0x06060600, 0x6a6a6a00,
    0xe7e7e700, 0x46464600, 0x71717100, 0xbababa00,
    0xd4d4d400, 0x25252500, 0xababab00, 0x42424200,
    0x88888800, 0xa2a2a200, 0x8d8d8d00, 0xfafafa00,
    0x72727200, 0x07070700, 0xb9b9b900, 0x55555500,
    0xf8f8f800, 0xeeeeee00, 0xacacac00, 0x0a0a0a00,
    0x36363600, 0x49494900, 0x2a2a2a00, 0x68686800,
    0x3c3c3c00, 0x38383800, 0xf1f1f100, 0xa4a4a400,
    0x40404000, 0x28282800, 0xd3d3d300, 0x7b7b7b00,
    0xbbbbbb00, 0xc9c9c900, 0x43434300, 0xc1c1c100,
    0x15151500, 0xe3e3e300, 0xadadad00, 0xf4f4f400,
    0x77777700, 0xc7c7c700, 0x80808000, 0x9e9e9e00
    },
    {
    0x00e0e0e0, 0x00050505, 0x00585858, 0x00d9d9d9,
    0x00676767, 0x004e4e4e, 0x00818181, 0x00cbcbcb,
    0x00c9c9c9, 0x000b0b0b, 0x00aeaeae, 0x006a6a6a,
    0x00d5d5d5, 0x00181818, 0x005d5d5d, 0x00828282,
    0x00464646, 0x00dfdfdf, 0x00d6d6d6, 0x00272727,
    0x008a8a8a, 0x00323232, 0x004b4b4b, 0x00424242,
    0x00dbdbdb, 0x001c1c1c, 0x009e9e9e, 0x009c9c9c,
    0x003a3a3a, 0x00cacaca, 0x00252525, 0x007b7b7b,
    0x000d0d0d, 0x00717171, 0x005f5f5f, 0x001f1f1f,
    0x00f8f8f8, 0x00d7d7d7, 0x003e3e3e, 0x009d9d9d,
    0x007c7c7c, 0x00606060, 0x00b9b9b9, 0x00bebebe,
    0x00bcbcbc, 0x008b8b8b, 0x00161616, 0x00343434,
    0x004d4d4d, 0x00c3c3c3, 0x00727272, 0x00959595,
    0x00ababab, 0x008e8e8e, 0x00bababa, 0x007a7a7a,
    0x00b3b3b3, 0x00020202, 0x00b4b4b4, 0x00adadad,
    0x00a2a2a2, 0x00acacac, 0x00d8d8d8, 0x009a9a9a,
    0x00171717, 0x001a1a1a, 0x00353535, 0x00cccccc,
    0x00f7f7f7, 0x00999999, 0x00616161, 0x005a5a5a,
    0x00e8e8e8, 0x00242424, 0x00565656, 0x00404040,
    0x00e1e1e1, 0x00636363, 0x00090909, 0x00333333,
    0x00bfbfbf, 0x00989898, 0x00979797, 0x00858585,
    0x00686868, 0x00fcfcfc, 0x00ececec, 0x000a0a0a,
    0x00dadada, 0x006f6f6f, 0x00535353, 0x00626262,
    0x00a3a3a3, 0x002e2e2e, 0x00080808, 0x00afafaf,
    0x00282828, 0x00b0b0b0, 0x00747474, 0x00c2c2c2,
    0x00bdbdbd, 0x00363636, 0x00222222, 0x00383838,
    0x00646464, 0x001e1e1e, 0x00393939, 0x002c2c2c,
    0x00a6a6a6, 0x00303030, 0x00e5e5e5, 0x00444444,
    0x00fdfdfd, 0x00888888, 0x009f9f9f, 0x00656565,
    0x00878787, 0x006b6b6b, 0x00f4f4f4, 0x00232323,
    0x00484848, 0x00101010, 0x00d1d1d1, 0x00515151,
    0x00c0c0c0, 0x00f9f9f9, 0x00d2d2d2, 0x00a0a0a0,
    0x00555555, 0x00a1a1a1, 0x00414141, 0x00fafafa,
    0x00434343, 0x00131313, 0x00c4c4c4, 0x002f2f2f,
    0x00a8a8a8, 0x00b6b6b6, 0x003c3c3c, 0x002b2b2b,
    0x00c1c1c1, 0x00ffffff, 0x00c8c8c8, 0x00a5a5a5,
    0x00202020, 0x00898989, 0x00000000, 0x00909090,
    0x00474747, 0x00efefef, 0x00eaeaea, 0x00b7b7b7,
    0x00151515, 0x00060606, 0x00cdcdcd, 0x00b5b5b5,
    0x00121212, 0x007e7e7e, 0x00bbbbbb, 0x00292929,
    0x000f0f0f, 0x00b8b8b8, 0x00070707, 0x00040404,
    0x009b9b9b, 0x00949494, 0x00212121, 0x00666666,
    0x00e6e6e6, 0x00cecece, 0x00ededed, 0x00e7e7e7,
    0x003b3b3b, 0x00fefefe, 0x007f7f7f, 0x00c5c5c5,
    0x00a4a4a4, 0x00373737, 0x00b1b1b1, 0x004c4c4c,
    0x00919191, 0x006e6e6e, 0x008d8d8d, 0x00767676,
    0x00030303, 0x002d2d2d, 0x00dedede, 0x00969696,
    0x00262626, 0x007d7d7d, 0x00c6c6c6, 0x005c5c5c,
    0x00d3d3d3, 0x00f2f2f2, 0x004f4f4f, 0x00191919,
    0x003f3f3f, 0x00dcdcdc, 0x00797979, 0x001d1d1d,
    0x00525252, 0x00ebebeb, 0x00f3f3f3, 0x006d6d6d,
    0x005e5e5e, 0x00fbfbfb, 0x00696969, 0x00b2b2b2,
    0x00f0f0f0, 0x00313131, 0x000c0c0c, 0x00d4d4d4,
    0x00cfcfcf, 0x008c8c8c, 0x00e2e2e2, 0x00757575,
    0x00a9a9a9, 0x004a4a4a, 0x00575757, 0x00848484,
    0x00111111, 0x00454545, 0x001b1b1b, 0x00f5f5f5,
    0x00e4e4e4, 0x000e0e0e, 0x00737373, 0x00aaaaaa,
    0x00f1f1f1, 0x00dddddd, 0x00595959, 0x00141414,
    0x006c6c6c, 0x00929292, 0x00545454, 0x00d0d0d0,
    0x00787878, 0x00707070, 0x00e3e3e3, 0x00494949,
    0x00808080, 0x00505050, 0x00a7a7a7, 0x00f6f6f6,
    0x00777777, 0x00939393, 0x00868686, 0x00838383,
    0x002a2a2a, 0x00c7c7c7, 0x005b5b5b, 0x00e9e9e9,
    0x00eeeeee, 0x008f8f8f, 0x00010101, 0x003d3d3d
    },
    {
    0x38003838, 0x41004141, 0x16001616, 0x76007676,
    0xd900d9d9, 0x93009393, 0x60006060, 0xf200f2f2,
    0x72007272, 0xc200c2c2, 0xab00abab, 0x9a009a9a,
    0x75007575, 0x06000606, 0x57005757, 0xa000a0a0,
    0x91009191, 0xf700f7f7, 0xb500b5b5, 0xc900c9c9,
    0xa200a2a2, 0x8c008c8c, 0xd200d2d2, 0x90009090,
    0xf600f6f6, 0x07000707, 0xa700a7a7, 0x27002727,
    0x8e008e8e, 0xb200b2b2, 0x49004949, 0xde00dede,
    0x43004343, 0x5c005c5c, 0xd700d7d7, 0xc700c7c7,
    0x3e003e3e, 0xf500f5f5, 0x8f008f8f, 0x67006767,
    0x1f001f1f, 0x18001818, 0x6e006e6e, 0xaf00afaf,
    0x2f002f2f, 0xe200e2e2, 0x85008585, 0x0d000d0d,
    0x53005353, 0xf000f0f0, 0x9c009c9c, 0x65006565,
    0xea00eaea, 0xa300a3a3, 0xae00aeae, 0x9e009e9e,
    0xec00ecec, 0x80008080, 0x2d002d2d, 0x6b006b6b,
    0xa800a8a8, 0x2b002b2b, 0x36003636, 0xa600a6a6,
    0xc500c5c5, 0x86008686, 0x4d004d4d, 0x33003333,
    0xfd00fdfd, 0x66006666, 0x58005858, 0x96009696,
    0x3a003a3a, 0x09000909, 0x95009595, 0x10001010,
    0x78007878, 0xd800d8d8, 0x42004242, 0xcc00cccc,
    0xef00efef, 0x26002626, 0xe500e5e5, 0x61006161,
    0x1a001a1a, 0x3f003f3f, 0x3b003b3b, 0x82008282,
    0xb600b6b6, 0xdb00dbdb, 0xd400d4d4, 0x98009898,
    0xe800e8e8, 0x8b008b8b, 0x02000202, 0xeb00ebeb,
    0x0a000a0a, 0x2c002c2c, 0x1d001d1d, 0xb000b0b0,
    0x6f006f6f, 0x8d008d8d, 0x88008888, 0x0e000e0e,
    0x19001919, 0x87008787, 0x4e004e4e, 0x0b000b0b,
    0xa900a9a9, 0x0c000c0c, 0x79007979, 0x11001111,
    0x7f007f7f, 0x22002222, 0xe700e7e7, 0x59005959,
    0xe100e1e1, 0xda00dada, 0x3d003d3d, 0xc800c8c8,
    0x12001212, 0x04000404, 0x74007474, 0x54005454,
    0x30003030, 0x7e007e7e, 0xb400b4b4, 0x28002828,
    0x55005555, 0x68006868, 0x50005050, 0xbe00bebe,
    0xd000d0d0, 0xc400c4c4, 0x31003131, 0xcb00cbcb,
    0x2a002a2a, 0xad00adad, 0x0f000f0f, 0xca00caca,
    0x70007070, 0xff00ffff, 0x32003232, 0x69006969,
    0x08000808, 0x62006262, 0x00000000, 0x24002424,
    0xd100d1d1, 0xfb00fbfb, 0xba00baba, 0xed00eded,
    0x45004545, 0x81008181, 0x73007373, 0x6d006d6d,
    0x84008484, 0x9f009f9f, 0xee00eeee, 0x4a004a4a,
    0xc300c3c3, 0x2e002e2e, 0xc100c1c1, 0x01000101,
    0xe600e6e6, 0x25002525, 0x48004848, 0x99009999,
    0xb900b9b9, 0xb300b3b3, 0x7b007b7b, 0xf900f9f9,
    0xce00cece, 0xbf00bfbf, 0xdf00dfdf, 0x71007171,
    0x29002929, 0xcd00cdcd, 0x6c006c6c, 0x13001313,
    0x64006464, 0x9b009b9b, 0x63006363, 0x9d009d9d,
    0xc000c0c0, 0x4b004b4b, 0xb700b7b7, 0xa500a5a5,
    0x89008989, 0x5f005f5f, 0xb100b1b1, 0x17001717,
    0xf400f4f4, 0xbc00bcbc, 0xd300d3d3, 0x46004646,
    0xcf00cfcf, 0x37003737, 0x5e005e5e, 0x47004747,
    0x94009494, 0xfa00fafa, 0xfc00fcfc, 0x5b005b5b,
    0x97009797, 0xfe00fefe, 0x5a005a5a, 0xac00acac,
    0x3c003c3c, 0x4c004c4c, 0x03000303, 0x35003535,
    0xf300f3f3, 0x23002323, 0xb800b8b8, 0x5d005d5d,
    0x6a006a6a, 0x92009292, 0xd500d5d5, 0x21002121,
    0x44004444, 0x51005151, 0xc600c6c6, 0x7d007d7d,
    0x39003939, 0x83008383, 0xdc00dcdc, 0xaa00aaaa,
    0x7c007c7c, 0x77007777, 0x56005656, 0x05000505,
    0x1b001b1b, 0xa400a4a4, 0x15001515, 0x34003434,
    0x1e001e1e, 0x1c001c1c, 0xf800f8f8, 0x52005252,
    0x20002020, 0x14001414, 0xe900e9e9, 0xbd00bdbd,
    0xdd00dddd, 0xe400e4e4, 0xa100a1a1, 0xe000e0e0,
    0x8a008a8a, 0xf100f1f1, 0xd600d6d6, 0x7a007a7a,
    0xbb00bbbb, 0xe300e3e3, 0x40004040, 0x4f004f4f
    },
    {
    0x70700070, 0x2c2c002c, 0xb3b300b3, 0xc0c000c0,
    0xe4e400e4, 0x57570057, 0xeaea00ea, 0xaeae00ae,
    0x23230023, 0x6b6b006b, 0x45450045, 0xa5a500a5,
    0xeded00ed, 0x4f4f004f, 0x1d1d001d, 0x92920092,
    0x86860086, 0xafaf00af, 0x7c7c007c, 0x1f1f001f,
    0x3e3e003e, 0xdcdc00dc, 0x5e5e005e, 0x0b0b000b,
    0xa6a600a6, 0x39390039, 0xd5d500d5, 0x5d5d005d,
    0xd9d900d9, 0x5a5a005a, 0x51510051, 0x6c6c006c,
    0x8b8b008b, 0x9a9a009a, 0xfbfb00fb, 0xb0b000b0,
    0x74740074, 0x2b2b002b, 0xf0f000f0, 0x84840084,
    0xdfdf00df, 0xcbcb00cb, 0x34340034, 0x76760076,
    0x6d6d006d, 0xa9a900a9, 0xd1d100d1, 0x04040004,
    0x14140014, 0x3a3a003a, 0xdede00de, 0x11110011,
    0x32320032, 0x9c9c009c, 0x53530053, 0xf2f200f2,
    0xfefe00fe, 0xcfcf00cf, 0xc3c300c3, 0x7a7a007a,
    0x24240024, 0xe8e800e8, 0x60600060, 0x69690069,
    0xaaaa00aa, 0xa0a000a0, 0xa1a100a1, 0x62620062,
    0x54540054, 0x1e1e001e, 0xe0e000e0, 0x64640064,
    0x10100010, 0x00000000, 0xa3a300a3, 0x75750075,
    0x8a8a008a, 0xe6e600e6, 0x09090009, 0xdddd00dd,
    0x87870087, 0x83830083, 0xcdcd00cd, 0x90900090,
    0x73730073, 0xf6f600f6, 0x9d9d009d, 0xbfbf00bf,
    0x52520052, 0xd8d800d8, 0xc8c800c8, 0xc6c600c6,
    0x81810081, 0x6f6f006f, 0x13130013, 0x63630063,
    0xe9e900e9, 0xa7a700a7, 0x9f9f009f, 0xbcbc00bc,
    0x29290029, 0xf9f900f9, 0x2f2f002f, 0xb4b400b4,
    0x78780078, 0x06060006, 0xe7e700e7, 0x71710071,
    0xd4d400d4, 0xabab00ab, 0x88880088, 0x8d8d008d,
    0x72720072, 0xb9b900b9, 0xf8f800f8, 0xacac00ac,
    0x36360036, 0x2a2a002a, 0x3c3c003c, 0xf1f100f1,
    0x40400040, 0xd3d300d3, 0xbbbb00bb, 0x43430043,
    0x15150015, 0xadad00ad, 0x77770077, 0x80800080,
    0x82820082, 0xecec00ec, 0x27270027, 0xe5e500e5,
    0x85850085, 0x35350035, 0x0c0c000c, 0x41410041,
    0xefef00ef, 0x93930093, 0x19190019, 0x21210021,
    0x0e0e000e, 0x4e4e004e, 0x65650065, 0xbdbd00bd,
    0xb8b800b8, 0x8f8f008f, 0xebeb00eb, 0xcece00ce,
    0x30300030, 0x5f5f005f, 0xc5c500c5, 0x1a1a001a,
    0xe1e100e1, 0xcaca00ca, 0x47470047, 0x3d3d003d,
    0x01010001, 0xd6d600d6, 0x56560056, 0x4d4d004d,
    0x0d0d000d, 0x66660066, 0xcccc00cc, 0x2d2d002d,
    0x12120012, 0x20200020, 0xb1b100b1, 0x99990099,
    0x4c4c004c, 0xc2c200c2, 0x7e7e007e, 0x05050005,
    0xb7b700b7, 0x31310031, 0x17170017, 0xd7d700d7,
    0x58580058, 0x61610061, 0x1b1b001b, 0x1c1c001c,
    0x0f0f000f, 0x16160016, 0x18180018, 0x22220022,
    0x44440044, 0xb2b200b2, 0xb5b500b5, 0x91910091,
    0x08080008, 0xa8a800a8, 0xfcfc00fc, 0x50500050,
    0xd0d000d0, 0x7d7d007d, 0x89890089, 0x97970097,
    0x5b5b005b, 0x95950095, 0xffff00ff, 0xd2d200d2,
    0xc4c400c4, 0x48480048, 0xf7f700f7, 0xdbdb00db,
    0x03030003, 0xdada00da, 0x3f3f003f, 0x94940094,
    0x5c5c005c, 0x02020002, 0x4a4a004a, 0x33330033,
    0x67670067, 0xf3f300f3, 0x7f7f007f, 0xe2e200e2,
    0x9b9b009b, 0x26260026, 0x37370037, 0x3b3b003b,
    0x96960096, 0x4b4b004b, 0xbebe00be, 0x2e2e002e,
    0x79790079, 0x8c8c008c, 0x6e6e006e, 0x8e8e008e,
    0xf5f500f5, 0xb6b600b6, 0xfdfd00fd, 0x59590059,
    0x98980098, 0x6a6a006a, 0x46460046, 0xbaba00ba,
    0x25250025, 0x42420042, 0xa2a200a2, 0xfafa00fa,
    0x07070007, 0x55550055, 0xeeee00ee, 0x0a0a000a,
    0x49490049, 0x68680068, 0x38380038, 0xa4a400a4,
    0x28280028, 0x7b7b007b, 0xc9c900c9, 0xc1c100c1,
    0xe3e300e3, 0xf4f400f4, 0xc7c700c7, 0x9e9e009e
    }};
 
NAMESPACE_END