Annotation of qemu/roms/ipxe/src/crypto/axtls/aes.c, revision 1.1.1.1

1.1       root        1: /*
                      2:  *  Copyright(C) 2006 Cameron Rich
                      3:  *
                      4:  *  This library is free software; you can redistribute it and/or modify
                      5:  *  it under the terms of the GNU Lesser General Public License as published by
                      6:  *  the Free Software Foundation; either version 2 of the License, or
                      7:  *  (at your option) any later version.
                      8:  *
                      9:  *  This library is distributed in the hope that it will be useful,
                     10:  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
                     11:  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
                     12:  *  GNU Lesser General Public License for more details.
                     13:  *
                     14:  *  You should have received a copy of the GNU Lesser General Public License
                     15:  *  along with this library; if not, write to the Free Software
                     16:  *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
                     17:  */
                     18: 
                     19: FILE_LICENCE ( GPL2_OR_LATER );
                     20: 
                     21: /**
                     22:  * AES implementation - this is a small code version. There are much faster
                     23:  * versions around but they are much larger in size (i.e. they use large 
                     24:  * submix tables).
                     25:  */
                     26: 
                     27: #include <string.h>
                     28: #include "crypto.h"
                     29: 
                     30: /* all commented out in skeleton mode */
                     31: #ifndef CONFIG_SSL_SKELETON_MODE
                     32: 
                     33: #define rot1(x) (((x) << 24) | ((x) >> 8))
                     34: #define rot2(x) (((x) << 16) | ((x) >> 16))
                     35: #define rot3(x) (((x) <<  8) | ((x) >> 24))
                     36: 
                     37: /* 
                     38:  * This cute trick does 4 'mul by two' at once.  Stolen from
                     39:  * Dr B. R. Gladman <[email protected]> but I'm sure the u-(u>>7) is
                     40:  * a standard graphics trick
                     41:  * The key to this is that we need to xor with 0x1b if the top bit is set.
                     42:  * a 1xxx xxxx   0xxx 0xxx First we mask the 7bit,
                     43:  * b 1000 0000   0000 0000 then we shift right by 7 putting the 7bit in 0bit,
                     44:  * c 0000 0001   0000 0000 we then subtract (c) from (b)
                     45:  * d 0111 1111   0000 0000 and now we and with our mask
                     46:  * e 0001 1011   0000 0000
                     47:  */
                     48: #define mt  0x80808080
                     49: #define ml  0x7f7f7f7f
                     50: #define mh  0xfefefefe
                     51: #define mm  0x1b1b1b1b
                     52: #define mul2(x,t)      ((t)=((x)&mt), \
                     53:                        ((((x)+(x))&mh)^(((t)-((t)>>7))&mm)))
                     54: 
                     55: #define inv_mix_col(x,f2,f4,f8,f9) (\
                     56:                        (f2)=mul2(x,f2), \
                     57:                        (f4)=mul2(f2,f4), \
                     58:                        (f8)=mul2(f4,f8), \
                     59:                        (f9)=(x)^(f8), \
                     60:                        (f8)=((f2)^(f4)^(f8)), \
                     61:                        (f2)^=(f9), \
                     62:                        (f4)^=(f9), \
                     63:                        (f8)^=rot3(f2), \
                     64:                        (f8)^=rot2(f4), \
                     65:                        (f8)^rot1(f9))
                     66: 
                     67: /* some macros to do endian independent byte extraction */
                     68: #define n2l(c,l) l=ntohl(*c); c++
                     69: #define l2n(l,c) *c++=htonl(l)
                     70: 
                     71: /*
                     72:  * AES S-box
                     73:  */
                     74: static const uint8_t aes_sbox[256] =
                     75: {
                     76:        0x63,0x7C,0x77,0x7B,0xF2,0x6B,0x6F,0xC5,
                     77:        0x30,0x01,0x67,0x2B,0xFE,0xD7,0xAB,0x76,
                     78:        0xCA,0x82,0xC9,0x7D,0xFA,0x59,0x47,0xF0,
                     79:        0xAD,0xD4,0xA2,0xAF,0x9C,0xA4,0x72,0xC0,
                     80:        0xB7,0xFD,0x93,0x26,0x36,0x3F,0xF7,0xCC,
                     81:        0x34,0xA5,0xE5,0xF1,0x71,0xD8,0x31,0x15,
                     82:        0x04,0xC7,0x23,0xC3,0x18,0x96,0x05,0x9A,
                     83:        0x07,0x12,0x80,0xE2,0xEB,0x27,0xB2,0x75,
                     84:        0x09,0x83,0x2C,0x1A,0x1B,0x6E,0x5A,0xA0,
                     85:        0x52,0x3B,0xD6,0xB3,0x29,0xE3,0x2F,0x84,
                     86:        0x53,0xD1,0x00,0xED,0x20,0xFC,0xB1,0x5B,
                     87:        0x6A,0xCB,0xBE,0x39,0x4A,0x4C,0x58,0xCF,
                     88:        0xD0,0xEF,0xAA,0xFB,0x43,0x4D,0x33,0x85,
                     89:        0x45,0xF9,0x02,0x7F,0x50,0x3C,0x9F,0xA8,
                     90:        0x51,0xA3,0x40,0x8F,0x92,0x9D,0x38,0xF5,
                     91:        0xBC,0xB6,0xDA,0x21,0x10,0xFF,0xF3,0xD2,
                     92:        0xCD,0x0C,0x13,0xEC,0x5F,0x97,0x44,0x17,
                     93:        0xC4,0xA7,0x7E,0x3D,0x64,0x5D,0x19,0x73,
                     94:        0x60,0x81,0x4F,0xDC,0x22,0x2A,0x90,0x88,
                     95:        0x46,0xEE,0xB8,0x14,0xDE,0x5E,0x0B,0xDB,
                     96:        0xE0,0x32,0x3A,0x0A,0x49,0x06,0x24,0x5C,
                     97:        0xC2,0xD3,0xAC,0x62,0x91,0x95,0xE4,0x79,
                     98:        0xE7,0xC8,0x37,0x6D,0x8D,0xD5,0x4E,0xA9,
                     99:        0x6C,0x56,0xF4,0xEA,0x65,0x7A,0xAE,0x08,
                    100:        0xBA,0x78,0x25,0x2E,0x1C,0xA6,0xB4,0xC6,
                    101:        0xE8,0xDD,0x74,0x1F,0x4B,0xBD,0x8B,0x8A,
                    102:        0x70,0x3E,0xB5,0x66,0x48,0x03,0xF6,0x0E,
                    103:        0x61,0x35,0x57,0xB9,0x86,0xC1,0x1D,0x9E,
                    104:        0xE1,0xF8,0x98,0x11,0x69,0xD9,0x8E,0x94,
                    105:        0x9B,0x1E,0x87,0xE9,0xCE,0x55,0x28,0xDF,
                    106:        0x8C,0xA1,0x89,0x0D,0xBF,0xE6,0x42,0x68,
                    107:        0x41,0x99,0x2D,0x0F,0xB0,0x54,0xBB,0x16,
                    108: };
                    109: 
                    110: /*
                    111:  * AES is-box
                    112:  */
                    113: static const uint8_t aes_isbox[256] = 
                    114: {
                    115:     0x52,0x09,0x6a,0xd5,0x30,0x36,0xa5,0x38,
                    116:     0xbf,0x40,0xa3,0x9e,0x81,0xf3,0xd7,0xfb,
                    117:     0x7c,0xe3,0x39,0x82,0x9b,0x2f,0xff,0x87,
                    118:     0x34,0x8e,0x43,0x44,0xc4,0xde,0xe9,0xcb,
                    119:     0x54,0x7b,0x94,0x32,0xa6,0xc2,0x23,0x3d,
                    120:     0xee,0x4c,0x95,0x0b,0x42,0xfa,0xc3,0x4e,
                    121:     0x08,0x2e,0xa1,0x66,0x28,0xd9,0x24,0xb2,
                    122:     0x76,0x5b,0xa2,0x49,0x6d,0x8b,0xd1,0x25,
                    123:     0x72,0xf8,0xf6,0x64,0x86,0x68,0x98,0x16,
                    124:     0xd4,0xa4,0x5c,0xcc,0x5d,0x65,0xb6,0x92,
                    125:     0x6c,0x70,0x48,0x50,0xfd,0xed,0xb9,0xda,
                    126:     0x5e,0x15,0x46,0x57,0xa7,0x8d,0x9d,0x84,
                    127:     0x90,0xd8,0xab,0x00,0x8c,0xbc,0xd3,0x0a,
                    128:     0xf7,0xe4,0x58,0x05,0xb8,0xb3,0x45,0x06,
                    129:     0xd0,0x2c,0x1e,0x8f,0xca,0x3f,0x0f,0x02,
                    130:     0xc1,0xaf,0xbd,0x03,0x01,0x13,0x8a,0x6b,
                    131:     0x3a,0x91,0x11,0x41,0x4f,0x67,0xdc,0xea,
                    132:     0x97,0xf2,0xcf,0xce,0xf0,0xb4,0xe6,0x73,
                    133:     0x96,0xac,0x74,0x22,0xe7,0xad,0x35,0x85,
                    134:     0xe2,0xf9,0x37,0xe8,0x1c,0x75,0xdf,0x6e,
                    135:     0x47,0xf1,0x1a,0x71,0x1d,0x29,0xc5,0x89,
                    136:     0x6f,0xb7,0x62,0x0e,0xaa,0x18,0xbe,0x1b,
                    137:     0xfc,0x56,0x3e,0x4b,0xc6,0xd2,0x79,0x20,
                    138:     0x9a,0xdb,0xc0,0xfe,0x78,0xcd,0x5a,0xf4,
                    139:     0x1f,0xdd,0xa8,0x33,0x88,0x07,0xc7,0x31,
                    140:     0xb1,0x12,0x10,0x59,0x27,0x80,0xec,0x5f,
                    141:     0x60,0x51,0x7f,0xa9,0x19,0xb5,0x4a,0x0d,
                    142:     0x2d,0xe5,0x7a,0x9f,0x93,0xc9,0x9c,0xef,
                    143:     0xa0,0xe0,0x3b,0x4d,0xae,0x2a,0xf5,0xb0,
                    144:     0xc8,0xeb,0xbb,0x3c,0x83,0x53,0x99,0x61,
                    145:     0x17,0x2b,0x04,0x7e,0xba,0x77,0xd6,0x26,
                    146:     0xe1,0x69,0x14,0x63,0x55,0x21,0x0c,0x7d
                    147: };
                    148: 
                    149: static const unsigned char Rcon[30]=
                    150: {
                    151:        0x01,0x02,0x04,0x08,0x10,0x20,0x40,0x80,
                    152:        0x1b,0x36,0x6c,0xd8,0xab,0x4d,0x9a,0x2f,
                    153:        0x5e,0xbc,0x63,0xc6,0x97,0x35,0x6a,0xd4,
                    154:        0xb3,0x7d,0xfa,0xef,0xc5,0x91,
                    155: };
                    156: 
                    157: /* Perform doubling in Galois Field GF(2^8) using the irreducible polynomial
                    158:    x^8+x^4+x^3+x+1 */
                    159: static unsigned char AES_xtime(uint32_t x)
                    160: {
                    161:        return x = (x&0x80) ? (x<<1)^0x1b : x<<1;
                    162: }
                    163: 
                    164: /**
                    165:  * Set up AES with the key/iv and cipher size.
                    166:  */
                    167: void AES_set_key(AES_CTX *ctx, const uint8_t *key, 
                    168:         const uint8_t *iv, AES_MODE mode)
                    169: {
                    170:     int i, ii;
                    171:     uint32_t *W, tmp, tmp2;
                    172:     const unsigned char *ip;
                    173:     int words;
                    174: 
                    175:     switch (mode)
                    176:     {
                    177:         case AES_MODE_128:
                    178:             i = 10;
                    179:             words = 4;
                    180:             break;
                    181: 
                    182:         case AES_MODE_256:
                    183:             i = 14;
                    184:             words = 8;
                    185:             break;
                    186: 
                    187:         default:        /* fail silently */
                    188:             return;
                    189:     }
                    190: 
                    191:     ctx->rounds = i;
                    192:     ctx->key_size = words;
                    193:     W = ctx->ks;
                    194:     for (i = 0; i < words; i+=2)
                    195:     {
                    196:         W[i+0]=        ((uint32_t)key[ 0]<<24)|
                    197:             ((uint32_t)key[ 1]<<16)|
                    198:             ((uint32_t)key[ 2]<< 8)|
                    199:             ((uint32_t)key[ 3]    );
                    200:         W[i+1]=        ((uint32_t)key[ 4]<<24)|
                    201:             ((uint32_t)key[ 5]<<16)|
                    202:             ((uint32_t)key[ 6]<< 8)|
                    203:             ((uint32_t)key[ 7]    );
                    204:         key += 8;
                    205:     }
                    206: 
                    207:     ip = Rcon;
                    208:     ii = 4 * (ctx->rounds+1);
                    209:     for (i = words; i<ii; i++)
                    210:     {
                    211:         tmp = W[i-1];
                    212: 
                    213:         if ((i % words) == 0)
                    214:         {
                    215:             tmp2 =(uint32_t)aes_sbox[(tmp    )&0xff]<< 8;
                    216:             tmp2|=(uint32_t)aes_sbox[(tmp>> 8)&0xff]<<16;
                    217:             tmp2|=(uint32_t)aes_sbox[(tmp>>16)&0xff]<<24;
                    218:             tmp2|=(uint32_t)aes_sbox[(tmp>>24)     ];
                    219:             tmp=tmp2^(((unsigned int)*ip)<<24);
                    220:             ip++;
                    221:         }
                    222: 
                    223:         if ((words == 8) && ((i % words) == 4))
                    224:         {
                    225:             tmp2 =(uint32_t)aes_sbox[(tmp    )&0xff]    ;
                    226:             tmp2|=(uint32_t)aes_sbox[(tmp>> 8)&0xff]<< 8;
                    227:             tmp2|=(uint32_t)aes_sbox[(tmp>>16)&0xff]<<16;
                    228:             tmp2|=(uint32_t)aes_sbox[(tmp>>24)     ]<<24;
                    229:             tmp=tmp2;
                    230:         }
                    231: 
                    232:         W[i]=W[i-words]^tmp;
                    233:     }
                    234: 
                    235:     /* copy the iv across */
                    236:     memcpy(ctx->iv, iv, 16);
                    237: }
                    238: 
                    239: /**
                    240:  * Change a key for decryption.
                    241:  */
                    242: void AES_convert_key(AES_CTX *ctx)
                    243: {
                    244:     int i;
                    245:     uint32_t *k,w,t1,t2,t3,t4;
                    246: 
                    247:     k = ctx->ks;
                    248:     k += 4;
                    249: 
                    250:     for (i=ctx->rounds*4; i>4; i--)
                    251:     {
                    252:         w= *k;
                    253:         w = inv_mix_col(w,t1,t2,t3,t4);
                    254:         *k++ =w;
                    255:     }
                    256: }
                    257: 
                    258: #if 0
                    259: /**
                    260:  * Encrypt a byte sequence (with a block size 16) using the AES cipher.
                    261:  */
                    262: void AES_cbc_encrypt(AES_CTX *ctx, const uint8_t *msg, uint8_t *out, int length)
                    263: {
                    264:     uint32_t tin0, tin1, tin2, tin3;
                    265:     uint32_t tout0, tout1, tout2, tout3;
                    266:     uint32_t tin[4];
                    267:     uint32_t *iv = (uint32_t *)ctx->iv;
                    268:     uint32_t *msg_32 = (uint32_t *)msg;
                    269:     uint32_t *out_32 = (uint32_t *)out;
                    270: 
                    271:     n2l(iv, tout0);
                    272:     n2l(iv, tout1);
                    273:     n2l(iv, tout2);
                    274:     n2l(iv, tout3);
                    275:     iv -= 4;
                    276: 
                    277:     for (length -= 16; length >= 0; length -= 16)
                    278:     {
                    279:         n2l(msg_32, tin0);
                    280:         n2l(msg_32, tin1);
                    281:         n2l(msg_32, tin2);
                    282:         n2l(msg_32, tin3);
                    283:         tin[0] = tin0^tout0;
                    284:         tin[1] = tin1^tout1;
                    285:         tin[2] = tin2^tout2;
                    286:         tin[3] = tin3^tout3;
                    287: 
                    288:         AES_encrypt(ctx, tin);
                    289: 
                    290:         tout0 = tin[0]; 
                    291:         l2n(tout0, out_32);
                    292:         tout1 = tin[1]; 
                    293:         l2n(tout1, out_32);
                    294:         tout2 = tin[2]; 
                    295:         l2n(tout2, out_32);
                    296:         tout3 = tin[3]; 
                    297:         l2n(tout3, out_32);
                    298:     }
                    299: 
                    300:     l2n(tout0, iv);
                    301:     l2n(tout1, iv);
                    302:     l2n(tout2, iv);
                    303:     l2n(tout3, iv);
                    304: }
                    305: 
                    306: /**
                    307:  * Decrypt a byte sequence (with a block size 16) using the AES cipher.
                    308:  */
                    309: void AES_cbc_decrypt(AES_CTX *ctx, const uint8_t *msg, uint8_t *out, int length)
                    310: {
                    311:     uint32_t tin0, tin1, tin2, tin3;
                    312:     uint32_t xor0,xor1,xor2,xor3;
                    313:     uint32_t tout0,tout1,tout2,tout3;
                    314:     uint32_t data[4];
                    315:     uint32_t *iv = (uint32_t *)ctx->iv;
                    316:     uint32_t *msg_32 = (uint32_t *)msg;
                    317:     uint32_t *out_32 = (uint32_t *)out;
                    318: 
                    319:     n2l(iv ,xor0);
                    320:     n2l(iv, xor1);
                    321:     n2l(iv, xor2);
                    322:     n2l(iv, xor3);
                    323:     iv -= 4;
                    324: 
                    325:     for (length-=16; length >= 0; length -= 16)
                    326:     {
                    327:         n2l(msg_32, tin0);
                    328:         n2l(msg_32, tin1);
                    329:         n2l(msg_32, tin2);
                    330:         n2l(msg_32, tin3);
                    331: 
                    332:         data[0] = tin0;
                    333:         data[1] = tin1;
                    334:         data[2] = tin2;
                    335:         data[3] = tin3;
                    336: 
                    337:         AES_decrypt(ctx, data);
                    338: 
                    339:         tout0 = data[0]^xor0;
                    340:         tout1 = data[1]^xor1;
                    341:         tout2 = data[2]^xor2;
                    342:         tout3 = data[3]^xor3;
                    343: 
                    344:         xor0 = tin0;
                    345:         xor1 = tin1;
                    346:         xor2 = tin2;
                    347:         xor3 = tin3;
                    348: 
                    349:         l2n(tout0, out_32);
                    350:         l2n(tout1, out_32);
                    351:         l2n(tout2, out_32);
                    352:         l2n(tout3, out_32);
                    353:     }
                    354: 
                    355:     l2n(xor0, iv);
                    356:     l2n(xor1, iv);
                    357:     l2n(xor2, iv);
                    358:     l2n(xor3, iv);
                    359: }
                    360: #endif
                    361: 
                    362: /**
                    363:  * Encrypt a single block (16 bytes) of data
                    364:  */
                    365: void AES_encrypt(const AES_CTX *ctx, uint32_t *data)
                    366: {
                    367:     /* To make this code smaller, generate the sbox entries on the fly.
                    368:      * This will have a really heavy effect upon performance.
                    369:      */
                    370:     uint32_t tmp[4];
                    371:     uint32_t tmp1, old_a0, a0, a1, a2, a3, row;
                    372:     int curr_rnd;
                    373:     int rounds = ctx->rounds; 
                    374:     const uint32_t *k = ctx->ks;
                    375: 
                    376:     /* Pre-round key addition */
                    377:     for (row = 0; row < 4; row++)
                    378:     {
                    379:         data[row] ^= *(k++);
                    380:     }
                    381: 
                    382:     /* Encrypt one block. */
                    383:     for (curr_rnd = 0; curr_rnd < rounds; curr_rnd++)
                    384:     {
                    385:         /* Perform ByteSub and ShiftRow operations together */
                    386:         for (row = 0; row < 4; row++)
                    387:         {
                    388:             a0 = (uint32_t)aes_sbox[(data[row%4]>>24)&0xFF];
                    389:             a1 = (uint32_t)aes_sbox[(data[(row+1)%4]>>16)&0xFF];
                    390:             a2 = (uint32_t)aes_sbox[(data[(row+2)%4]>>8)&0xFF]; 
                    391:             a3 = (uint32_t)aes_sbox[(data[(row+3)%4])&0xFF];
                    392: 
                    393:             /* Perform MixColumn iff not last round */
                    394:             if (curr_rnd < (rounds - 1))
                    395:             {
                    396:                 tmp1 = a0 ^ a1 ^ a2 ^ a3;
                    397:                 old_a0 = a0;
                    398: 
                    399:                 a0 ^= tmp1 ^ AES_xtime(a0 ^ a1);
                    400:                 a1 ^= tmp1 ^ AES_xtime(a1 ^ a2);
                    401:                 a2 ^= tmp1 ^ AES_xtime(a2 ^ a3);
                    402:                 a3 ^= tmp1 ^ AES_xtime(a3 ^ old_a0);
                    403: 
                    404:             }
                    405: 
                    406:             tmp[row] = ((a0 << 24) | (a1 << 16) | (a2 << 8) | a3);
                    407:         }
                    408: 
                    409:         /* KeyAddition - note that it is vital that this loop is separate from
                    410:            the MixColumn operation, which must be atomic...*/ 
                    411:         for (row = 0; row < 4; row++)
                    412:         {
                    413:             data[row] = tmp[row] ^ *(k++);
                    414:         }
                    415:     }
                    416: }
                    417: 
                    418: /**
                    419:  * Decrypt a single block (16 bytes) of data
                    420:  */
                    421: void AES_decrypt(const AES_CTX *ctx, uint32_t *data)
                    422: { 
                    423:     uint32_t tmp[4];
                    424:     uint32_t xt0,xt1,xt2,xt3,xt4,xt5,xt6;
                    425:     uint32_t a0, a1, a2, a3, row;
                    426:     int curr_rnd;
                    427:     int rounds = ctx->rounds;
                    428:     uint32_t *k = (uint32_t*)ctx->ks + ((rounds+1)*4);
                    429: 
                    430:     /* pre-round key addition */
                    431:     for (row=4; row > 0;row--)
                    432:     {
                    433:         data[row-1] ^= *(--k);
                    434:     }
                    435: 
                    436:     /* Decrypt one block */
                    437:     for (curr_rnd=0; curr_rnd < rounds; curr_rnd++)
                    438:     {
                    439:         /* Perform ByteSub and ShiftRow operations together */
                    440:         for (row = 4; row > 0; row--)
                    441:         {
                    442:             a0 = aes_isbox[(data[(row+3)%4]>>24)&0xFF];
                    443:             a1 = aes_isbox[(data[(row+2)%4]>>16)&0xFF];
                    444:             a2 = aes_isbox[(data[(row+1)%4]>>8)&0xFF];
                    445:             a3 = aes_isbox[(data[row%4])&0xFF];
                    446: 
                    447:             /* Perform MixColumn iff not last round */
                    448:             if (curr_rnd<(rounds-1))
                    449:             {
                    450:                 /* The MDS cofefficients (0x09, 0x0B, 0x0D, 0x0E)
                    451:                    are quite large compared to encryption; this 
                    452:                    operation slows decryption down noticeably. */
                    453:                 xt0 = AES_xtime(a0^a1);
                    454:                 xt1 = AES_xtime(a1^a2);
                    455:                 xt2 = AES_xtime(a2^a3);
                    456:                 xt3 = AES_xtime(a3^a0);
                    457:                 xt4 = AES_xtime(xt0^xt1);
                    458:                 xt5 = AES_xtime(xt1^xt2);
                    459:                 xt6 = AES_xtime(xt4^xt5);
                    460: 
                    461:                 xt0 ^= a1^a2^a3^xt4^xt6;
                    462:                 xt1 ^= a0^a2^a3^xt5^xt6;
                    463:                 xt2 ^= a0^a1^a3^xt4^xt6;
                    464:                 xt3 ^= a0^a1^a2^xt5^xt6;
                    465:                 tmp[row-1] = ((xt0<<24)|(xt1<<16)|(xt2<<8)|xt3);
                    466:             }
                    467:             else
                    468:                 tmp[row-1] = ((a0<<24)|(a1<<16)|(a2<<8)|a3);
                    469:         }
                    470: 
                    471:         for (row = 4; row > 0; row--)
                    472:         {
                    473:             data[row-1] = tmp[row-1] ^ *(--k);
                    474:         }
                    475:     }
                    476: }
                    477: 
                    478: #endif

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