/usr/include/gf2x/gf2x_mul9.h is in libgf2x-dev 1.1-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 | /* This file is part of the gf2x library.
Copyright 2007, 2008, 2009
Richard Brent, Pierrick Gaudry, Emmanuel Thome', Paul Zimmermann
This program is free software; you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by the
Free Software Foundation; either version 2 of the License, or (at your
option) any later version.
This program is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
more details.
You should have received a copy of the GNU General Public License along
with this program; see the file COPYING. If not, write to the Free
Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA
02111-1307, USA.
*/
#ifndef GF2X_MUL9_H_
#define GF2X_MUL9_H_
#include "gf2x.h"
/* All gf2x source files for lowlevel functions must include gf2x-small.h
* This is mandatory for the tuning mechanism. */
#include "gf2x/gf2x-small.h"
#include <wmmintrin.h>
#if GF2X_WORDSIZE != 64
#error "This code is for 64-bit only"
#endif
#include "gf2x/gf2x-config.h"
#ifndef HAVE_PCLMUL_SUPPORT
#error "This code needs pclmul support"
#endif
/* TODO: if somebody comes up with a neat way to improve the interface so
* as to remove the false dependency on pclmul, that would be nice.
*/
static inline __v2di
GF2X_FUNC(mul9cl_mul1) (unsigned long a, unsigned long b)
{
__v2di aa = (__v2di) { a, 0 };
__v2di bb = (__v2di) { b, 0 };
return _mm_clmulepi64_si128(aa, bb, 0);
}
/* variant with 30 multiplications */
GF2X_STORAGE_CLASS_mul9
void gf2x_mul9 (unsigned long *c, const unsigned long *a, const unsigned long *b)
{
/* Taken from Cenk & Ozbudak 2009 */
/* We reserve one more to follow notations of the paper */
__v2di ab[9] = {
(__v2di) { a[0], b[0] },
(__v2di) { a[1], b[1] },
(__v2di) { a[2], b[2] },
(__v2di) { a[3], b[3] },
(__v2di) { a[4], b[4] },
(__v2di) { a[5], b[5] },
(__v2di) { a[6], b[6] },
(__v2di) { a[7], b[7] },
(__v2di) { a[8], b[8] },
};
__v2di pab[30];
#if 0
pab[ 0] = ab[0]^ab[1]^ab[2]^ab[3]^ab[4]^ab[5]^ab[6]^ab[7]^ab[8];
pab[ 1] = ab[0]^ ab[2]^ ab[4]^ ab[6]^ ab[8];
pab[ 2] = ab[1]^ab[2]^ab[3]^ ab[5]^ ab[8];
pab[ 3] = ab[0]^ ab[2]^ab[3]^ ab[5]^ab[6]^ ab[8];
pab[ 4] = ab[0]^ab[1]^ ab[3]^ab[4]^ ab[6]^ab[7];
pab[ 5] = ab[0]^ ab[3]^ab[4]^ab[5]^ ab[7];
pab[ 6] = ab[1]^ab[2]^ab[3]^ ab[6]^ ab[8];
pab[ 7] = ab[2]^ ab[4]^ab[5]^ab[6];
pab[ 8] = ab[2]^ab[3]^ab[4]^ ab[6];
pab[ 9] = ab[1]^ ab[3]^ ab[5]^ ab[7];
pab[10] = ab[0]^ab[1]^ ab[4]^ ab[6]^ab[7]^ab[8];
pab[11] = ab[0]^ ab[3]^ ab[5]^ab[6]^ab[7];
pab[12] = ab[0]^ab[1]^ ab[4]^ab[5]^ ab[8];
pab[13] = ab[1]^ab[2]^ ab[4]^ab[5]^ ab[7]^ab[8];
pab[14] = ab[0]^ab[1]^ ab[3]^ ab[6]^ab[7]^ab[8];
pab[15] = ab[1]^ ab[3]^ab[4]^ab[5]^ ab[8];
pab[16] = ab[0]^ ab[2]^ab[3]^ab[4]^ ab[7];
pab[17] = ab[1]^ ab[4]^ab[5]^ab[6]^ ab[8];
pab[18] = ab[0]^ ab[2]^ ab[5]^ab[6]^ab[7];
pab[19] = ab[2]^ab[3]^ ab[6]^ab[7];
pab[20] = ab[6]^ ab[8];
pab[21] = ab[0]^ ab[2];
pab[22] = ab[0]^ab[1];
pab[23] = ab[0];
pab[24] = ab[1];
pab[25] = ab[7];
pab[26] = ab[7]^ab[8];
pab[27] = ab[6];
pab[28] = ab[8];
pab[29] = ab[2];
#else
/* same as above, but optimized with Maple's codegen[optimize] function
with 'tryhard' option: 89 XORs -> 46 XORs */
__v2di t51, t52, t53, t54, t55, t56, t57, t58, t59, t60, t61, t62,
t63, t64, t65, t66, t67, t68, t69, t70, t71, t72, t73, t74, t75;
t51 = ab[8];
t55 = ab[4];
t75 = t51^t55;
t54 = ab[5];
t57 = ab[2];
t74 = t54^t57;
t56 = ab[3];
t58 = ab[1];
t73 = t56^t58;
t59 = ab[0];
t72 = t59^t57;
t71 = t58^t75;
t52 = ab[7];
t70 = t52^t56^t59;
t53 = ab[6];
t69 = t53^t56^t57;
t68 = t53^t72;
t67 = t54^t71;
t66 = t59^t71;
t65 = t51^t57^t73;
t64 = t53^t70;
t63 = t55^t70;
t62 = t54^t68;
t61 = t58^t64;
t60 = t55^t61;
pab[0] = t51^t60^t74;
pab[1] = t68^t75;
pab[2] = t54^t65;
pab[3] = t56^t51^t62;
pab[4] = t60;
pab[5] = t54^t63;
pab[6] = t53^t65;
pab[7] = t55^t53^t74;
pab[8] = t55^t69;
pab[9] = t54^t52^t73;
pab[10] = t53^t52^t66;
pab[11] = t54^t64;
pab[12] = t54^t66;
pab[13] = t57^t52^t67;
pab[14] = t51^t61;
pab[15] = t56^t67;
pab[16] = t57^t63;
pab[17] = t53^t67;
pab[18] = t52^t62;
pab[19] = t52^t69;
pab[20] = t53^t51;
pab[21] = t72;
pab[22] = t59^t58;
pab[23] = t59;
pab[24] = t58;
pab[25] = t52;
pab[26] = t52^t51;
pab[27] = t53;
pab[28] = t51;
pab[29] = t57;
#endif
int i;
for (i = 0; i < 30; ++i)
pab[i] = _mm_clmulepi64_si128(pab[i], pab[i], 0x10);
__v2di cc[17];
#if 0
cc[0 ] = pab[23];
cc[1 ] = pab[22]^pab[23]^pab[24];
cc[2 ] = pab[21]^pab[23]^pab[24]^pab[29];
cc[3 ] = pab[28]^pab[17]^pab[2]^pab[15]^pab[7]^pab[6]^pab[5]^pab[29]^pab[21]^pab[22]^pab[12]^pab[19]^pab[9]^pab[13]^pab[11]^pab[3]^pab[26]^pab[20]^pab[27];
cc[4 ] = pab[4]^pab[3]^pab[10]^pab[11]^pab[6]^pab[2]^pab[8]^pab[14]^pab[9]^pab[22]^pab[23]^pab[24]^pab[1]^pab[20]^pab[27]^pab[28]^pab[25];
cc[5 ] = pab[26]^pab[25]^pab[28]^pab[0]^pab[9]^pab[21]^pab[23]^pab[29]^pab[24]^pab[1]^pab[3]^pab[13]^pab[14]^pab[5]^pab[18]^pab[16]^pab[11]^pab[15];
cc[6 ] = pab[26]^pab[12]^pab[19]^pab[21]^pab[23]^pab[29]^pab[4]^pab[3]^pab[14]^pab[5]^pab[18]^pab[22]^pab[1]^pab[20]^pab[27];
cc[7 ] = pab[20]^pab[27]^pab[28]^pab[25]^pab[23]^pab[0]^pab[15]^pab[7]^pab[11]^pab[6]^pab[14]^pab[5]^pab[18];
cc[8 ] = pab[0]^pab[23]^pab[24]^pab[10]^pab[15]^pab[7]^pab[2]^pab[18]^pab[14]^pab[17]^pab[22]^pab[26]^pab[25]^pab[28];
cc[9 ] = pab[21]^pab[23]^pab[29]^pab[24]^pab[0]^pab[16]^pab[11]^pab[7]^pab[10]^pab[2]^pab[8]^pab[18]^pab[5]^pab[28];
cc[10] = pab[12]^pab[0]^pab[19]^pab[9]^pab[21]^pab[29]^pab[22]^pab[3]^pab[13]^pab[16]^pab[11]^pab[7]^pab[10]^pab[20]^pab[27]^pab[28]^pab[26];
cc[11] = pab[16]^pab[11]^pab[7]^pab[10]^pab[17]^pab[5]^pab[2]^pab[0]^pab[9]^pab[4]^pab[3]^pab[22]^pab[23]^pab[24]^pab[1]^pab[20]^pab[27]^pab[28]^pab[25];
cc[12] = pab[26]^pab[25]^pab[28]^pab[8]^pab[14]^pab[5]^pab[17]^pab[10]^pab[6]^pab[16]^pab[15]^pab[3]^pab[13]^pab[1]^pab[9]^pab[21]^pab[23]^pab[29]^pab[24];
cc[13] = pab[8]^pab[18]^pab[2]^pab[15]^pab[16]^pab[5]^pab[29]^pab[21]^pab[23]^pab[22]^pab[0]^pab[12]^pab[19]^pab[1]^pab[11]^pab[4]^pab[3]^pab[26]^pab[20]^pab[27];
cc[14] = pab[20]^pab[27]^pab[28]^pab[25];
cc[15] = pab[25]^pab[26]^pab[28];
cc[16] = pab[28];
#else
/* same as above, optimized with codegen[optimize] with 'tryhard' */
__v2di t100, t101, t102, t103, t104, t105, t106, t107, t108, t109, t110,
t111, t112, t113, t114, t115, t116, t117, t118, t119, t120, t121, t122,
t123, t124, t125, t126, t127, t128, t129, t130, t77, t79, t80, t82, t83,
t87, t88, t89, t90, t91, t92, t94, t95, t96, t97, t98, t99;
t82 = pab[23];
t87 = pab[18];
t130 = t82^t87;
t77 = pab[28];
t98 = pab[7];
t129 = t77^t98;
t79 = pab[26];
t83 = pab[22];
t128 = t79^t83;
t90 = pab[15];
t91 = pab[14];
t127 = t90^t91;
t97 = pab[8];
t99 = pab[6];
t126 = t97^t99;
t100 = pab[5];
t125 = t100^t90;
t117 = pab[27]^pab[20];
t80 = pab[25];
t118 = t77^t80;
t112 = t117^t118;
t94 = pab[11];
t124 = t112^t94;
t103 = pab[2];
t105 = pab[0];
t123 = t103^t105;
t89 = pab[16];
t122 = t89^t94^t97;
t121 = t100^t105^t98;
t102 = pab[3];
t104 = pab[1];
t96 = pab[9];
t120 = t102^t104^t96;
t119 = pab[29]^pab[21];
t116 = pab[24]^t82;
t115 = t79^t118;
t114 = t83^t116;
t113 = t116^t119;
t95 = pab[10];
t111 = t87^t95^t116^t123^t129;
t110 = t102^pab[19]^pab[12]^t117^t119^t128;
t92 = pab[13];
t109 = t92^t94^t96^t110^t129;
t101 = pab[4];
t108 = t100^t101^t104^t110^t130;
t107 = t101^t103^t95^t114^t120^t124;
t106 = t89^t91^t92^t113^t115^t120^t125;
t88 = pab[17];
cc[0] = t82;
cc[1] = t114;
cc[2] = t113;
cc[3] = t88^t99^t103^t109^t125;
cc[4] = t91^t107^t126;
cc[5] = t87^t94^t105^t106;
cc[6] = t91^t108;
cc[7] = t99^t121^t124^t127^t130;
cc[8] = t88^t80^t111^t127^t128;
cc[9] = t100^t111^t119^t122;
cc[10] = t89^t95^t105^t109;
cc[11] = t88^t89^t107^t121;
cc[12] = t88^t95^t106^t126;
cc[13] = t90^t108^t122^t123;
cc[14] = t112;
cc[15] = t115;
cc[16] = t77;
#endif
_mm_storeu_si128((__v2di*)(c), cc[0] ^ _mm_slli_si128(cc[1], 8));
_mm_storeu_si128((__v2di*)(c+2), cc[2] ^ _mm_srli_si128(cc[1], 8) ^ _mm_slli_si128(cc[3], 8));
_mm_storeu_si128((__v2di*)(c+4), cc[4] ^ _mm_srli_si128(cc[3], 8) ^ _mm_slli_si128(cc[5], 8));
_mm_storeu_si128((__v2di*)(c+6), cc[6] ^ _mm_srli_si128(cc[5], 8) ^ _mm_slli_si128(cc[7], 8));
_mm_storeu_si128((__v2di*)(c+8), cc[8] ^ _mm_srli_si128(cc[7], 8) ^ _mm_slli_si128(cc[9], 8));
_mm_storeu_si128((__v2di*)(c+10), cc[10] ^ _mm_srli_si128(cc[9], 8) ^ _mm_slli_si128(cc[11], 8));
_mm_storeu_si128((__v2di*)(c+12), cc[12] ^ _mm_srli_si128(cc[11], 8) ^ _mm_slli_si128(cc[13], 8));
_mm_storeu_si128((__v2di*)(c+14), cc[14] ^ _mm_srli_si128(cc[13], 8) ^ _mm_slli_si128(cc[15], 8));
_mm_storeu_si128((__v2di*)(c+16), cc[16] ^ _mm_srli_si128(cc[15], 8));
}
#endif /* GF2X_MUL9_H_ */
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