From 136af37e966020332c48cc36f49ebe3593215bc1 Mon Sep 17 00:00:00 2001 From: Andrea Mazzoleni Date: Tue, 22 Oct 2013 23:40:05 +0200 Subject: [PATCH] Adds preliminary support for RAID based on a Cauchy matrix. --- HISTORY | 7 + check.c | 25 +- configure.ac | 2 +- mktables.c | 252 +- raid.c | 901 +- raid.h | 42 +- scrub.c | 2 +- selftest.c | 140 +- speed.c | 169 +- state.c | 12 +- state.h | 4 +- sync.c | 2 +- tables.h | 69673 ++++++++++++++++++++++++++++++++++++++++++++++++- 13 files changed, 70993 insertions(+), 238 deletions(-) diff --git a/HISTORY b/HISTORY index 41024c8c..93ecd152 100644 --- a/HISTORY +++ b/HISTORY @@ -1,6 +1,13 @@ SnapRAID HISTORY ================ +6.0 2013/10 (BETA) +================== + * Added support for unlimted RAIDQP (QuadParity), RAIDPP (Penta Parity) + and RAIDHP (Hexa parity). + We use a Cauchy parity generator that gets good performance only if + SSSE3 is available. + 5.0 2013/10 (BETA) ================== * Added support for RAIDTP (Triple Parity) and RAIDQP (Quad Parity). diff --git a/check.c b/check.c index c8c8f465..3478b4f0 100644 --- a/check.c +++ b/check.c @@ -164,7 +164,7 @@ static int is_hash_matching(struct snapraid_state* state, int rehash, unsigned d /* if we checked something, and no block failed the check */ if (hash_checked && j==failed_count) { /* recompute all the redundancy information */ - raid_gen(state->level, buffer, diskmax, state->block_size); + raid_gen(RAID_POWER, state->level, buffer, diskmax, state->block_size); return 1; } @@ -177,12 +177,12 @@ static int is_hash_matching(struct snapraid_state* state, int rehash, unsigned d static int is_parity_matching(struct snapraid_state* state, unsigned diskmax, unsigned i, unsigned char** buffer, unsigned char** buffer_recov) { /* recompute parity, note that we don't need parity over i */ - raid_gen(i + 1, buffer, diskmax, state->block_size); + raid_gen(RAID_POWER, i + 1, buffer, diskmax, state->block_size); /* if the recovered parity block matches */ if (memcmp(buffer[diskmax+i], buffer_recov[i], state->block_size) == 0) { /* recompute all the redundancy information */ - raid_gen(state->level, buffer, diskmax, state->block_size); + raid_gen(RAID_POWER, state->level, buffer, diskmax, state->block_size); return 1; } @@ -199,11 +199,12 @@ static int repair_step(struct snapraid_state* state, int rehash, unsigned pos, u unsigned i, j; int error; int has_hash; + int kind = RAID_POWER; /* no fix required */ if (failed_count == 0) { /* recompute only parity and qarity */ - raid_gen(state->level, buffer, diskmax, state->block_size); + raid_gen(kind, state->level, buffer, diskmax, state->block_size); return 0; } @@ -228,7 +229,7 @@ static int repair_step(struct snapraid_state* state, int rehash, unsigned pos, u memcpy(buffer[diskmax+COMBO1[i].a], buffer_recov[COMBO1[i].a], state->block_size); /* recover data */ - raid_recov_1data(failed[failed_map[0]].index, COMBO1[i].a, buffer, diskmax, buffer_zero, state->block_size); + raid_recov_1data(kind, failed[failed_map[0]].index, COMBO1[i].a, buffer, diskmax, buffer_zero, state->block_size); if (is_hash_matching(state, rehash, diskmax, failed, failed_map, failed_count, buffer, buffer_zero)) return 0; @@ -249,7 +250,7 @@ static int repair_step(struct snapraid_state* state, int rehash, unsigned pos, u memcpy(buffer[diskmax+COMBO2[i].a], buffer_recov[COMBO2[i].a], state->block_size); /* recover data */ - raid_recov_1data(failed[failed_map[0]].index, COMBO2[i].a, buffer, diskmax, buffer_zero, state->block_size); + raid_recov_1data(kind, failed[failed_map[0]].index, COMBO2[i].a, buffer, diskmax, buffer_zero, state->block_size); if (is_parity_matching(state, diskmax, COMBO2[i].b, buffer, buffer_recov)) return 0; @@ -271,7 +272,7 @@ static int repair_step(struct snapraid_state* state, int rehash, unsigned pos, u memcpy(buffer[diskmax+COMBO2[i].b], buffer_recov[COMBO2[i].b], state->block_size); /* recover data */ - raid_recov_2data(failed[failed_map[0]].index, failed[failed_map[1]].index, COMBO2[i].a, COMBO2[i].b, buffer, diskmax, buffer_zero, state->block_size); + raid_recov_2data(kind, failed[failed_map[0]].index, failed[failed_map[1]].index, COMBO2[i].a, COMBO2[i].b, buffer, diskmax, buffer_zero, state->block_size); if (is_hash_matching(state, rehash, diskmax, failed, failed_map, failed_count, buffer, buffer_zero)) return 0; @@ -293,7 +294,7 @@ static int repair_step(struct snapraid_state* state, int rehash, unsigned pos, u memcpy(buffer[diskmax+COMBO3[i].b], buffer_recov[COMBO3[i].b], state->block_size); /* recover data */ - raid_recov_2data(failed[failed_map[0]].index, failed[failed_map[1]].index, COMBO3[i].a, COMBO3[i].b, buffer, diskmax, buffer_zero, state->block_size); + raid_recov_2data(kind, failed[failed_map[0]].index, failed[failed_map[1]].index, COMBO3[i].a, COMBO3[i].b, buffer, diskmax, buffer_zero, state->block_size); if (is_parity_matching(state, diskmax, COMBO3[i].c, buffer, buffer_recov)) return 0; @@ -316,7 +317,7 @@ static int repair_step(struct snapraid_state* state, int rehash, unsigned pos, u memcpy(buffer[diskmax+COMBO3[i].c], buffer_recov[COMBO3[i].c], state->block_size); /* recover data */ - raid_recov_3data(failed[failed_map[0]].index, failed[failed_map[1]].index, failed[failed_map[2]].index, COMBO3[i].a, COMBO3[i].b, COMBO3[i].c, buffer, diskmax, buffer_zero, state->block_size); + raid_recov_3data(kind, failed[failed_map[0]].index, failed[failed_map[1]].index, failed[failed_map[2]].index, COMBO3[i].a, COMBO3[i].b, COMBO3[i].c, buffer, diskmax, buffer_zero, state->block_size); if (is_hash_matching(state, rehash, diskmax, failed, failed_map, failed_count, buffer, buffer_zero)) return 0; @@ -339,7 +340,7 @@ static int repair_step(struct snapraid_state* state, int rehash, unsigned pos, u memcpy(buffer[diskmax+COMBO4[i].c], buffer_recov[COMBO4[i].c], state->block_size); /* recover data */ - raid_recov_3data(failed[failed_map[0]].index, failed[failed_map[1]].index, failed[failed_map[2]].index, COMBO4[i].a, COMBO4[i].b, COMBO4[i].c, buffer, diskmax, buffer_zero, state->block_size); + raid_recov_3data(kind, failed[failed_map[0]].index, failed[failed_map[1]].index, failed[failed_map[2]].index, COMBO4[i].a, COMBO4[i].b, COMBO4[i].c, buffer, diskmax, buffer_zero, state->block_size); if (is_parity_matching(state, diskmax, COMBO4[i].d, buffer, buffer_recov)) return 0; @@ -363,7 +364,7 @@ static int repair_step(struct snapraid_state* state, int rehash, unsigned pos, u memcpy(buffer[diskmax+COMBO4[i].d], buffer_recov[COMBO4[i].d], state->block_size); /* recover data */ - raid_recov_4data(failed[failed_map[0]].index, failed[failed_map[1]].index, failed[failed_map[2]].index, failed[failed_map[3]].index, COMBO4[i].a, COMBO4[i].b, COMBO4[i].c, COMBO4[i].d, buffer, diskmax, buffer_zero, state->block_size); + raid_recov_4data(kind, failed[failed_map[0]].index, failed[failed_map[1]].index, failed[failed_map[2]].index, failed[failed_map[3]].index, COMBO4[i].a, COMBO4[i].b, COMBO4[i].c, COMBO4[i].d, buffer, diskmax, buffer_zero, state->block_size); if (is_hash_matching(state, rehash, diskmax, failed, failed_map, failed_count, buffer, buffer_zero)) return 0; @@ -440,7 +441,7 @@ static int repair(struct snapraid_state* state, int rehash, unsigned pos, unsign /* if nothing to fix */ if (!something_to_recover) { /* recompute only parity and qarity */ - raid_gen(state->level, buffer, diskmax, state->block_size); + raid_gen(RAID_POWER, state->level, buffer, diskmax, state->block_size); return 0; } diff --git a/configure.ac b/configure.ac index 57454443..85e64868 100644 --- a/configure.ac +++ b/configure.ac @@ -1,6 +1,6 @@ dnl Process this file with autoconf to produce a configure script. AC_PREREQ([2.65]) -AC_INIT([snapraid], [5.0], [], [], [http://snapraid.sourceforge.net]) +AC_INIT([snapraid], [6.0], [], [], [http://snapraid.sourceforge.net]) AM_INIT_AUTOMAKE([foreign no-dependencies -Wall]) AC_CONFIG_SRCDIR([snapraid.c]) AC_CONFIG_HEADER([config.h]) diff --git a/mktables.c b/mktables.c index 28d7e2e0..2dc494b3 100644 --- a/mktables.c +++ b/mktables.c @@ -39,11 +39,114 @@ unsigned char gfmul(unsigned char a, unsigned char b) return v; } +unsigned char gfinv[256]; + +#define POWER_PARITY 4 +#define POWER_DISK 255 + +/** + * Setup the power matrix used to generate parity. + * The first row is formed by all 1. + * The second row contains power of 2, the third power of 4, and so on... + * Note that this matrix is valid only for up to Quad Parity and for up to 21 data disks. + */ +void set_power(unsigned char* matrix) +{ + int i, j; + unsigned char g; + + g = 1; + for(i=0;i> 1; + v |= v >> 2; + v |= v >> 4; + v |= v >> 8; + v |= v >> 16; + ++v; + + return v; +} + int main(void) { - unsigned char gfinv[256]; unsigned char v; - int i, j; + int i, j, k, p; + unsigned char matrix[8 * 256]; + + printf("/*\n"); + printf(" * Copyright (C) 2011 Andrea Mazzoleni\n"); + printf(" *\n"); + printf(" * This program is free software: you can redistribute it and/or modify\n"); + printf(" * it under the terms of the GNU General Public License as published by\n"); + printf(" * the Free Software Foundation, either version 2 of the License, or\n"); + printf(" * (at your option) any later version.\n"); + printf(" *\n"); + printf(" * This program is distributed in the hope that it will be useful,\n"); + printf(" * but WITHOUT ANY WARRANTY; without even the implied warranty of\n"); + printf(" * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the\n"); + printf(" * GNU General Public License for more details.\n"); + printf(" *\n"); + printf(" * You should have received a copy of the GNU General Public License\n"); + printf(" * along with this program. If not, see .\n"); + printf(" */\n"); + printf("\n"); /* a*b */ printf("const unsigned char __attribute__((aligned(256))) gfmul[256][256] =\n"); @@ -98,22 +201,6 @@ int main(void) } printf("};\n\n"); - /* 8^a */ - printf("const unsigned char __attribute__((aligned(256))) gfexp8[256] =\n"); - printf("{\n"); - v = 1; - for(i=0;i<256;++i) { - if (i % 8 == 0) - printf("\t"); - printf("0x%02x,", v); - v = gfmul(v, 8); - if (i % 8 == 7) - printf("\n"); - else - printf(" "); - } - printf("};\n\n"); - /* 1/a */ printf("const unsigned char __attribute__((aligned(256))) gfinv[256] =\n"); printf("{\n"); @@ -177,9 +264,136 @@ int main(void) printf("#define GFPOLY8 { 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d } \n"); printf("#define GFPOLY16 { 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d } \n"); printf("#define GFMASK16 { 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f } \n"); - printf("\n"); + /* power matrix */ + set_power(matrix); + + printf("/**\n"); + printf(" * Power matrix used to generate parity.\n"); + printf(" * This matrix is valid for up to 4 parity with 21 data disks.\n"); + printf(" *\n"); + for(p=0;p=0;--d) { + d0 = v_8(vbuf[d][o]); + + p0 ^= d0; + q0 ^= gfcauchy_mul[d][d0][0]; + r0 ^= gfcauchy_mul[d][d0][1]; + s0 ^= gfcauchy_mul[d][d0][2]; + } + v_8(p[o]) = p0; + v_8(q[o]) = q0; + v_8(r[o]) = r0; + v_8(s[o]) = s0; + } +} + +#if defined(__i386__) || defined(__x86_64__) +/* + * RAID-Cauchy-QP SSSE3 implementation + */ +void cauchyQP_ssse3(unsigned char** vbuf, unsigned data, unsigned size) +{ + unsigned char* p; + unsigned char* q; + unsigned char* r; + unsigned char* s; + int d, l; + unsigned o; + + l = data - 1; + p = vbuf[data]; + q = vbuf[data+1]; + r = vbuf[data+2]; + s = vbuf[data+3]; + + for(o=0;o=0;--d) { + asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0])); + + asm volatile("pxor %xmm4,%xmm4"); + asm volatile("pcmpgtb %xmm1,%xmm4"); + asm volatile("paddb %xmm1,%xmm1"); + asm volatile("pand %xmm7,%xmm4"); + asm volatile("pxor %xmm4,%xmm1"); + + asm volatile("movdqa %0,%%xmm4" : : "m" (vbuf[d][o])); + + asm volatile("pxor %xmm4,%xmm0"); + asm volatile("pxor %xmm4,%xmm1"); + + asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.low_nibble[0])); + asm volatile("movdqa %xmm4,%xmm5"); + asm volatile("psraw $4,%xmm5"); + asm volatile("pand %xmm7,%xmm4"); + asm volatile("pand %xmm7,%xmm5"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][0][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][0][1][0])); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pxor %xmm6,%xmm2"); + asm volatile("pxor %xmm7,%xmm2"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][1][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][1][1][0])); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pxor %xmm6,%xmm3"); + asm volatile("pxor %xmm7,%xmm3"); + } + asm volatile("movntdq %%xmm0,%0" : "=m" (p[o])); + asm volatile("movntdq %%xmm1,%0" : "=m" (q[o])); + asm volatile("movntdq %%xmm2,%0" : "=m" (r[o])); + asm volatile("movntdq %%xmm3,%0" : "=m" (s[o])); + } + + asm volatile("sfence" : : : "memory"); +} +#endif + +#if defined(__x86_64__) +/* + * RAID-Cauchy-QP SSSE3 implementation + * Note that it uses 16 registers, meaning that x64 is required. + */ +void cauchyQP_ssse3ext(unsigned char** vbuf, unsigned data, unsigned size) +{ + unsigned char* p; + unsigned char* q; + unsigned char* r; + unsigned char* s; + int d, l; + unsigned o; + + l = data - 1; + p = vbuf[data]; + q = vbuf[data+1]; + r = vbuf[data+2]; + s = vbuf[data+3]; + + for(o=0;o=0;--d) { + asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0])); + asm volatile("movdqa %0,%%xmm15" : : "m" (raid_16_const.low_nibble[0])); + + asm volatile("pxor %xmm4,%xmm4"); + asm volatile("pxor %xmm12,%xmm12"); + asm volatile("pcmpgtb %xmm1,%xmm4"); + asm volatile("pcmpgtb %xmm9,%xmm12"); + asm volatile("paddb %xmm1,%xmm1"); + asm volatile("paddb %xmm9,%xmm9"); + asm volatile("pand %xmm7,%xmm4"); + asm volatile("pand %xmm7,%xmm12"); + asm volatile("pxor %xmm4,%xmm1"); + asm volatile("pxor %xmm12,%xmm9"); + + asm volatile("movdqa %0,%%xmm4" : : "m" (vbuf[d][o])); + asm volatile("movdqa %0,%%xmm12" : : "m" (vbuf[d][o+16])); + + asm volatile("pxor %xmm4,%xmm0"); + asm volatile("pxor %xmm4,%xmm1"); + asm volatile("pxor %xmm12,%xmm8"); + asm volatile("pxor %xmm12,%xmm9"); + + asm volatile("movdqa %xmm4,%xmm5"); + asm volatile("movdqa %xmm12,%xmm13"); + asm volatile("psraw $4,%xmm5"); + asm volatile("psraw $4,%xmm13"); + asm volatile("pand %xmm15,%xmm4"); + asm volatile("pand %xmm15,%xmm12"); + asm volatile("pand %xmm15,%xmm5"); + asm volatile("pand %xmm15,%xmm13"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][0][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][0][1][0])); + asm volatile("movdqa %xmm6,%xmm14"); + asm volatile("movdqa %xmm7,%xmm15"); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm12,%xmm14"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pshufb %xmm13,%xmm15"); + asm volatile("pxor %xmm6,%xmm2"); + asm volatile("pxor %xmm14,%xmm10"); + asm volatile("pxor %xmm7,%xmm2"); + asm volatile("pxor %xmm15,%xmm10"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][1][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][1][1][0])); + asm volatile("movdqa %xmm6,%xmm14"); + asm volatile("movdqa %xmm7,%xmm15"); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm12,%xmm14"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pshufb %xmm13,%xmm15"); + asm volatile("pxor %xmm6,%xmm3"); + asm volatile("pxor %xmm14,%xmm11"); + asm volatile("pxor %xmm7,%xmm3"); + asm volatile("pxor %xmm15,%xmm11"); + } + asm volatile("movntdq %%xmm0,%0" : "=m" (p[o])); + asm volatile("movntdq %%xmm8,%0" : "=m" (p[o+16])); + asm volatile("movntdq %%xmm1,%0" : "=m" (q[o])); + asm volatile("movntdq %%xmm9,%0" : "=m" (q[o+16])); + asm volatile("movntdq %%xmm2,%0" : "=m" (r[o])); + asm volatile("movntdq %%xmm10,%0" : "=m" (r[o+16])); + asm volatile("movntdq %%xmm3,%0" : "=m" (s[o])); + asm volatile("movntdq %%xmm11,%0" : "=m" (s[o+16])); + } + + asm volatile("sfence" : : : "memory"); +} +#endif + +/* + * RAID-Cauchy-PP 8bit C implementation + */ +void cauchyPP_int8(unsigned char** vbuf, unsigned data, unsigned size) +{ + unsigned char* p; + unsigned char* q; + unsigned char* r; + unsigned char* s; + unsigned char* t; + int d, l; + unsigned o; + + uint8_t d0, t0, s0, r0, q0, p0; + + l = data - 1; + p = vbuf[data]; + q = vbuf[data+1]; + r = vbuf[data+2]; + s = vbuf[data+3]; + t = vbuf[data+4]; + + for(o=0;o=0;--d) { + d0 = v_8(vbuf[d][o]); + + p0 ^= d0; + q0 ^= gfcauchy_mul[d][d0][0]; + r0 ^= gfcauchy_mul[d][d0][1]; + s0 ^= gfcauchy_mul[d][d0][2]; + t0 ^= gfcauchy_mul[d][d0][3]; + } + v_8(p[o]) = p0; + v_8(q[o]) = q0; + v_8(r[o]) = r0; + v_8(s[o]) = s0; + v_8(t[o]) = t0; + } +} + +#if defined(__i386__) || defined(__x86_64__) +/* + * RAID-Cauchy-PP SSSE3 implementation + */ +void cauchyPP_ssse3(unsigned char** vbuf, unsigned data, unsigned size) +{ + unsigned char* p; + unsigned char* q; + unsigned char* r; + unsigned char* s; + unsigned char* t; + int d, l; + unsigned o; + unsigned char p0[16] __attribute__((aligned(16))); + + l = data - 1; + p = vbuf[data]; + q = vbuf[data+1]; + r = vbuf[data+2]; + s = vbuf[data+3]; + t = vbuf[data+4]; + + for(o=0;o=0;--d) { + asm volatile("movdqa %0,%%xmm6" : : "m" (p0[0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0])); + + asm volatile("pxor %xmm4,%xmm4"); + asm volatile("pcmpgtb %xmm0,%xmm4"); + asm volatile("paddb %xmm0,%xmm0"); + asm volatile("pand %xmm7,%xmm4"); + asm volatile("pxor %xmm4,%xmm0"); + + asm volatile("movdqa %0,%%xmm4" : : "m" (vbuf[d][o])); + + asm volatile("pxor %xmm4,%xmm0"); + asm volatile("pxor %xmm4,%xmm6"); + asm volatile("movdqa %%xmm6,%0" : "=m" (p0)); + + asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.low_nibble[0])); + asm volatile("movdqa %xmm4,%xmm5"); + asm volatile("psraw $4,%xmm5"); + asm volatile("pand %xmm7,%xmm4"); + asm volatile("pand %xmm7,%xmm5"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][0][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][0][1][0])); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pxor %xmm6,%xmm1"); + asm volatile("pxor %xmm7,%xmm1"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][1][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][1][1][0])); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pxor %xmm6,%xmm2"); + asm volatile("pxor %xmm7,%xmm2"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][2][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][2][1][0])); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pxor %xmm6,%xmm3"); + asm volatile("pxor %xmm7,%xmm3"); + } + asm volatile("movdqa %0,%%xmm6" : : "m" (p0[0])); + asm volatile("movntdq %%xmm6,%0" : "=m" (p[o])); + asm volatile("movntdq %%xmm0,%0" : "=m" (q[o])); + asm volatile("movntdq %%xmm1,%0" : "=m" (r[o])); + asm volatile("movntdq %%xmm2,%0" : "=m" (s[o])); + asm volatile("movntdq %%xmm3,%0" : "=m" (t[o])); + } + + asm volatile("sfence" : : : "memory"); +} +#endif + +#if defined(__x86_64__) +/* + * RAID-Cauchy-PP SSSE3 implementation + * Note that it uses 16 registers, meaning that x64 is required. + */ +void cauchyPP_ssse3ext(unsigned char** vbuf, unsigned data, unsigned size) +{ + unsigned char* p; + unsigned char* q; + unsigned char* r; + unsigned char* s; + unsigned char* t; + int d, l; + unsigned o; + + l = data - 1; + p = vbuf[data]; + q = vbuf[data+1]; + r = vbuf[data+2]; + s = vbuf[data+3]; + t = vbuf[data+4]; + + asm volatile("movdqa %0,%%xmm14" : : "m" (raid_16_const.poly[0])); + asm volatile("movdqa %0,%%xmm15" : : "m" (raid_16_const.low_nibble[0])); + + for(o=0;o=0;--d) { + asm volatile("pxor %xmm10,%xmm10"); + asm volatile("pcmpgtb %xmm1,%xmm10"); + asm volatile("paddb %xmm1,%xmm1"); + asm volatile("pand %xmm14,%xmm10"); + asm volatile("pxor %xmm10,%xmm1"); + + asm volatile("movdqa %0,%%xmm10" : : "m" (vbuf[d][o])); + + asm volatile("pxor %xmm10,%xmm0"); + asm volatile("pxor %xmm10,%xmm1"); + + asm volatile("movdqa %xmm10,%xmm11"); + asm volatile("psraw $4,%xmm11"); + asm volatile("pand %xmm15,%xmm10"); + asm volatile("pand %xmm15,%xmm11"); + + asm volatile("movdqa %0,%%xmm12" : : "m" (gfcauchy_pshufb[d][0][0][0])); + asm volatile("movdqa %0,%%xmm13" : : "m" (gfcauchy_pshufb[d][0][1][0])); + asm volatile("pshufb %xmm10,%xmm12"); + asm volatile("pshufb %xmm11,%xmm13"); + asm volatile("pxor %xmm12,%xmm2"); + asm volatile("pxor %xmm13,%xmm2"); + + asm volatile("movdqa %0,%%xmm12" : : "m" (gfcauchy_pshufb[d][1][0][0])); + asm volatile("movdqa %0,%%xmm13" : : "m" (gfcauchy_pshufb[d][1][1][0])); + asm volatile("pshufb %xmm10,%xmm12"); + asm volatile("pshufb %xmm11,%xmm13"); + asm volatile("pxor %xmm12,%xmm3"); + asm volatile("pxor %xmm13,%xmm3"); + + asm volatile("movdqa %0,%%xmm12" : : "m" (gfcauchy_pshufb[d][2][0][0])); + asm volatile("movdqa %0,%%xmm13" : : "m" (gfcauchy_pshufb[d][2][1][0])); + asm volatile("pshufb %xmm10,%xmm12"); + asm volatile("pshufb %xmm11,%xmm13"); + asm volatile("pxor %xmm12,%xmm4"); + asm volatile("pxor %xmm13,%xmm4"); + } + asm volatile("movntdq %%xmm0,%0" : "=m" (p[o])); + asm volatile("movntdq %%xmm1,%0" : "=m" (q[o])); + asm volatile("movntdq %%xmm2,%0" : "=m" (r[o])); + asm volatile("movntdq %%xmm3,%0" : "=m" (s[o])); + asm volatile("movntdq %%xmm4,%0" : "=m" (t[o])); + } + + asm volatile("sfence" : : : "memory"); +} +#endif + +/* + * RAID-Cauchy-HP 8bit C implementation + */ +void cauchyHP_int8(unsigned char** vbuf, unsigned data, unsigned size) +{ + unsigned char* p; + unsigned char* q; + unsigned char* r; + unsigned char* s; + unsigned char* t; + unsigned char* u; + int d, l; + unsigned o; + + uint8_t d0, u0, t0, s0, r0, q0, p0; + + l = data - 1; + p = vbuf[data]; + q = vbuf[data+1]; + r = vbuf[data+2]; + s = vbuf[data+3]; + t = vbuf[data+4]; + u = vbuf[data+5]; + + for(o=0;o=0;--d) { + d0 = v_8(vbuf[d][o]); + + p0 ^= d0; + q0 ^= gfcauchy_mul[d][d0][0]; + r0 ^= gfcauchy_mul[d][d0][1]; + s0 ^= gfcauchy_mul[d][d0][2]; + t0 ^= gfcauchy_mul[d][d0][3]; + u0 ^= gfcauchy_mul[d][d0][4]; + } + v_8(p[o]) = p0; + v_8(q[o]) = q0; + v_8(r[o]) = r0; + v_8(s[o]) = s0; + v_8(t[o]) = t0; + v_8(u[o]) = u0; + } +} + +#if defined(__i386__) || defined(__x86_64__) +/* + * RAID-Cauchy-HP SSSE3 implementation + */ +void cauchyHP_ssse3(unsigned char** vbuf, unsigned data, unsigned size) +{ + unsigned char* p; + unsigned char* q; + unsigned char* r; + unsigned char* s; + unsigned char* t; + unsigned char* u; + int d, l; + unsigned o; + unsigned char p0[16] __attribute__((aligned(16))); + unsigned char q0[16] __attribute__((aligned(16))); + + l = data - 1; + p = vbuf[data]; + q = vbuf[data+1]; + r = vbuf[data+2]; + s = vbuf[data+3]; + t = vbuf[data+4]; + u = vbuf[data+5]; + + for(o=0;o=0;--d) { + asm volatile("movdqa %0,%%xmm5" : : "m" (p0[0])); + asm volatile("movdqa %0,%%xmm6" : : "m" (q0[0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0])); + + asm volatile("pxor %xmm4,%xmm4"); + asm volatile("pcmpgtb %xmm6,%xmm4"); + asm volatile("paddb %xmm6,%xmm6"); + asm volatile("pand %xmm7,%xmm4"); + asm volatile("pxor %xmm4,%xmm6"); + + asm volatile("movdqa %0,%%xmm4" : : "m" (vbuf[d][o])); + + asm volatile("pxor %xmm4,%xmm5"); + asm volatile("pxor %xmm4,%xmm6"); + asm volatile("movdqa %%xmm5,%0" : "=m" (p0)); + asm volatile("movdqa %%xmm6,%0" : "=m" (q0)); + + asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.low_nibble[0])); + asm volatile("movdqa %xmm4,%xmm5"); + asm volatile("psraw $4,%xmm5"); + asm volatile("pand %xmm7,%xmm4"); + asm volatile("pand %xmm7,%xmm5"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][0][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][0][1][0])); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pxor %xmm6,%xmm0"); + asm volatile("pxor %xmm7,%xmm0"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][1][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][1][1][0])); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pxor %xmm6,%xmm1"); + asm volatile("pxor %xmm7,%xmm1"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][2][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][2][1][0])); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pxor %xmm6,%xmm2"); + asm volatile("pxor %xmm7,%xmm2"); + + asm volatile("movdqa %0,%%xmm6" : : "m" (gfcauchy_pshufb[d][3][0][0])); + asm volatile("movdqa %0,%%xmm7" : : "m" (gfcauchy_pshufb[d][3][1][0])); + asm volatile("pshufb %xmm4,%xmm6"); + asm volatile("pshufb %xmm5,%xmm7"); + asm volatile("pxor %xmm6,%xmm3"); + asm volatile("pxor %xmm7,%xmm3"); + } + asm volatile("movdqa %0,%%xmm5" : : "m" (p0[0])); + asm volatile("movdqa %0,%%xmm6" : : "m" (q0[0])); + asm volatile("movntdq %%xmm5,%0" : "=m" (p[o])); + asm volatile("movntdq %%xmm6,%0" : "=m" (q[o])); + asm volatile("movntdq %%xmm0,%0" : "=m" (r[o])); + asm volatile("movntdq %%xmm1,%0" : "=m" (s[o])); + asm volatile("movntdq %%xmm2,%0" : "=m" (t[o])); + asm volatile("movntdq %%xmm3,%0" : "=m" (u[o])); + } + + asm volatile("sfence" : : : "memory"); +} +#endif + +#if defined(__x86_64__) +/* + * RAID-Cauchy-HP SSSE3 implementation + * Note that it uses 16 registers, meaning that x64 is required. + */ +void cauchyHP_ssse3ext(unsigned char** vbuf, unsigned data, unsigned size) +{ + unsigned char* p; + unsigned char* q; + unsigned char* r; + unsigned char* s; + unsigned char* t; + unsigned char* u; + int d, l; + unsigned o; + + l = data - 1; + p = vbuf[data]; + q = vbuf[data+1]; + r = vbuf[data+2]; + s = vbuf[data+3]; + t = vbuf[data+4]; + u = vbuf[data+5]; + + asm volatile("movdqa %0,%%xmm14" : : "m" (raid_16_const.poly[0])); + asm volatile("movdqa %0,%%xmm15" : : "m" (raid_16_const.low_nibble[0])); + + for(o=0;o=0;--d) { + asm volatile("pxor %xmm10,%xmm10"); + asm volatile("pcmpgtb %xmm1,%xmm10"); + asm volatile("paddb %xmm1,%xmm1"); + asm volatile("pand %xmm14,%xmm10"); + asm volatile("pxor %xmm10,%xmm1"); + + asm volatile("movdqa %0,%%xmm10" : : "m" (vbuf[d][o])); + + asm volatile("pxor %xmm10,%xmm0"); + asm volatile("pxor %xmm10,%xmm1"); + + asm volatile("movdqa %xmm10,%xmm11"); + asm volatile("psraw $4,%xmm11"); + asm volatile("pand %xmm15,%xmm10"); + asm volatile("pand %xmm15,%xmm11"); + + asm volatile("movdqa %0,%%xmm12" : : "m" (gfcauchy_pshufb[d][0][0][0])); + asm volatile("movdqa %0,%%xmm13" : : "m" (gfcauchy_pshufb[d][0][1][0])); + asm volatile("pshufb %xmm10,%xmm12"); + asm volatile("pshufb %xmm11,%xmm13"); + asm volatile("pxor %xmm12,%xmm2"); + asm volatile("pxor %xmm13,%xmm2"); + + asm volatile("movdqa %0,%%xmm12" : : "m" (gfcauchy_pshufb[d][1][0][0])); + asm volatile("movdqa %0,%%xmm13" : : "m" (gfcauchy_pshufb[d][1][1][0])); + asm volatile("pshufb %xmm10,%xmm12"); + asm volatile("pshufb %xmm11,%xmm13"); + asm volatile("pxor %xmm12,%xmm3"); + asm volatile("pxor %xmm13,%xmm3"); + + asm volatile("movdqa %0,%%xmm12" : : "m" (gfcauchy_pshufb[d][2][0][0])); + asm volatile("movdqa %0,%%xmm13" : : "m" (gfcauchy_pshufb[d][2][1][0])); + asm volatile("pshufb %xmm10,%xmm12"); + asm volatile("pshufb %xmm11,%xmm13"); + asm volatile("pxor %xmm12,%xmm4"); + asm volatile("pxor %xmm13,%xmm4"); + + asm volatile("movdqa %0,%%xmm12" : : "m" (gfcauchy_pshufb[d][3][0][0])); + asm volatile("movdqa %0,%%xmm13" : : "m" (gfcauchy_pshufb[d][3][1][0])); + asm volatile("pshufb %xmm10,%xmm12"); + asm volatile("pshufb %xmm11,%xmm13"); + asm volatile("pxor %xmm12,%xmm5"); + asm volatile("pxor %xmm13,%xmm5"); + } + asm volatile("movntdq %%xmm0,%0" : "=m" (p[o])); + asm volatile("movntdq %%xmm1,%0" : "=m" (q[o])); + asm volatile("movntdq %%xmm2,%0" : "=m" (r[o])); + asm volatile("movntdq %%xmm3,%0" : "=m" (s[o])); + asm volatile("movntdq %%xmm4,%0" : "=m" (t[o])); + asm volatile("movntdq %%xmm5,%0" : "=m" (u[o])); + } + + asm volatile("sfence" : : : "memory"); +} +#endif + /****************************************************************************/ /* parity generation */ @@ -1607,14 +2259,37 @@ static void (*raid5_gen)(unsigned char** vbuf, unsigned data, unsigned size); static void (*raid6_gen)(unsigned char** vbuf, unsigned data, unsigned size); static void (*raidTP_gen)(unsigned char** vbuf, unsigned data, unsigned size); static void (*raidQP_gen)(unsigned char** vbuf, unsigned data, unsigned size); +static void (*cauchyQP_gen)(unsigned char** vbuf, unsigned data, unsigned size); +static void (*cauchyPP_gen)(unsigned char** vbuf, unsigned data, unsigned size); +static void (*cauchyHP_gen)(unsigned char** vbuf, unsigned data, unsigned size); -void raid_gen(unsigned level, unsigned char** vbuf, unsigned data, unsigned size) +void raid_gen(unsigned kind, unsigned level, unsigned char** vbuf, unsigned data, unsigned size) { - switch (level) { - case 1 : raid5_gen(vbuf, data, size); break; - case 2 : raid6_gen(vbuf, data, size); break; - case 3 : raidTP_gen(vbuf, data, size); break; - case 4 : raidQP_gen(vbuf, data, size); break; + if (kind == RAID_POWER) { + switch (level) { + case 1 : raid5_gen(vbuf, data, size); break; + case 2 : raid6_gen(vbuf, data, size); break; + case 3 : raidTP_gen(vbuf, data, size); break; + case 4 : raidQP_gen(vbuf, data, size); break; + default: + fprintf(stderr, "Invalid power func\n"); + exit(EXIT_FAILURE); + } + } else if (kind == RAID_CAUCHY) { + switch (level) { + case 1 : raid5_gen(vbuf, data, size); break; + case 2 : raid6_gen(vbuf, data, size); break; + case 3 : /* we don't have triple parity, and then we call the quad parity one */ + case 4 : cauchyQP_gen(vbuf, data, size); break; + case 5 : cauchyPP_gen(vbuf, data, size); break; + case 6 : cauchyHP_gen(vbuf, data, size); break; + default: + fprintf(stderr, "Invalid cauchy func\n"); + exit(EXIT_FAILURE); + } + } else { + fprintf(stderr, "Invalid raid kind\n"); + exit(EXIT_FAILURE); } } @@ -1792,35 +2467,6 @@ static inline unsigned char pow4(int v) return gfexp4[v]; } -/** - * GF 8^a. - */ -static inline unsigned char pow8(int v) -{ - if (v < 0 || v > 254) { - fprintf(stderr, "GF invalid exponent\n"); - exit(EXIT_FAILURE); - } - - return gfexp8[v]; -} - -/** - * GF 2^b^a. - */ -static inline unsigned char pown(int b, int e) -{ - switch (b) { - case 0 : return 1; - case 1 : return pow2(e); - case 2 : return pow4(e); - case 3 : return pow8(e); - } - - fprintf(stderr, "GF invalid exponent\n"); - exit(EXIT_FAILURE); -} - /** * Gets the multiplication table for a specified value. */ @@ -1833,7 +2479,7 @@ static inline const unsigned char* table(unsigned char v) * Computes the parity without the missing data blocks * and store it in the buffers of such data blocks. */ -static void raid_delta_1data(int x, int i, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size) +static void raid_delta_1data(unsigned kind, int x, int i, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size) { unsigned char* p; unsigned char* pa; @@ -1851,7 +2497,7 @@ static void raid_delta_1data(int x, int i, unsigned char** vbuf, unsigned data, vbuf[data+i] = pa; /* compute the parity */ - raid_gen(i + 1, vbuf, data, size); + raid_gen(kind, i + 1, vbuf, data, size); /* restore as before */ vbuf[x] = pa; @@ -1862,7 +2508,7 @@ static void raid_delta_1data(int x, int i, unsigned char** vbuf, unsigned data, * Computes the parity without the missing data blocks * and store it in the buffers of such data blocks. */ -static void raid_delta_2data(int x, int y, int i, int j, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size) +static void raid_delta_2data(unsigned kind, int x, int y, int i, int j, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size) { unsigned char* p; unsigned char* q; @@ -1886,7 +2532,7 @@ static void raid_delta_2data(int x, int y, int i, int j, unsigned char** vbuf, u vbuf[data+j] = qa; /* compute only for the level we really need */ - raid_gen(j + 1, vbuf, data, size); + raid_gen(kind, j + 1, vbuf, data, size); /* restore as before */ vbuf[x] = pa; @@ -1899,7 +2545,7 @@ static void raid_delta_2data(int x, int y, int i, int j, unsigned char** vbuf, u * Computes the parity without the missing data blocks * and store it in the buffers of such data blocks. */ -static void raid_delta_3data(int x, int y, int z, int i, int j, int k, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size) +static void raid_delta_3data(unsigned kind, int x, int y, int z, int i, int j, int k, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size) { unsigned char* p; unsigned char* q; @@ -1929,7 +2575,7 @@ static void raid_delta_3data(int x, int y, int z, int i, int j, int k, unsigned vbuf[data+k] = ra; /* compute only for the level we really need */ - raid_gen(k + 1, vbuf, data, size); + raid_gen(kind, k + 1, vbuf, data, size); /* restore as before */ vbuf[x] = pa; @@ -1944,7 +2590,7 @@ static void raid_delta_3data(int x, int y, int z, int i, int j, int k, unsigned * Computes the parity without the missing data blocks * and store it in the buffers of such data blocks. */ -static void raid_delta_4data(int x, int y, int z, int v, int i, int j, int k, int l, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size) +static void raid_delta_4data(unsigned kind, int x, int y, int z, int v, int i, int j, int k, int l, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size) { unsigned char* p; unsigned char* q; @@ -1980,7 +2626,7 @@ static void raid_delta_4data(int x, int y, int z, int v, int i, int j, int k, in vbuf[data+l] = sa; /* compute only for the level we really need */ - raid_gen(l + 1, vbuf, data, size); + raid_gen(kind, l + 1, vbuf, data, size); /* restore as before */ vbuf[x] = pa; @@ -2066,7 +2712,7 @@ static void raid6_recov_2data(int x, int y, unsigned char** vbuf, unsigned data, qyf = table( inv(pow2(x) ^ pow2(y)) ); /* compute delta parity */ - raid_delta_2data(x, y, 0, 1, vbuf, data, zero, size); + raid_delta_2data(RAID_POWER, x, y, 0, 1, vbuf, data, zero, size); p = vbuf[data]; q = vbuf[data+1]; @@ -2134,7 +2780,7 @@ static void raidTP_recov_2dataq(int x, int y, unsigned char** vbuf, unsigned dat ryf = table( mul(c1, inv(pow4(x))) ); /* compute delta parity */ - raid_delta_2data(x, y, 0, 2, vbuf, data, zero, size); + raid_delta_2data(RAID_POWER, x, y, 0, 2, vbuf, data, zero, size); p = vbuf[data]; r = vbuf[data+2]; @@ -2207,7 +2853,7 @@ static void raidTP_recov_2datap(int x, int y, unsigned char** vbuf, unsigned dat yxf = table( pow2(y-x) ); /* compute delta parity */ - raid_delta_2data(x, y, 1, 2, vbuf, data, zero, size); + raid_delta_2data(RAID_POWER, x, y, 1, 2, vbuf, data, zero, size); q = vbuf[data+1]; r = vbuf[data+2]; @@ -2303,7 +2949,7 @@ static void raidTP_recov_3data(int x, int y, int z, unsigned char** vbuf, unsign zyf = table( mul(c1, pow2(z-x) ^ 1) ); /* compute delta parity */ - raid_delta_3data(x, y, z, 0, 1, 2, vbuf, data, zero, size); + raid_delta_3data(RAID_POWER, x, y, z, 0, 1, 2, vbuf, data, zero, size); p = vbuf[data]; q = vbuf[data+1]; @@ -2347,6 +2993,18 @@ static void raidTP_recov_3data(int x, int y, int z, unsigned char** vbuf, unsign /****************************************************************************/ /* matrix recovering */ +/** + * Gets the generator matrix coefficient for parity 'p' and disk 'd'. + */ +static unsigned char gm(unsigned kind, unsigned p, unsigned d) +{ + switch (kind) { + case RAID_POWER : return gfmatrix_power[p][d]; + case RAID_CAUCHY : return gfmatrix_cauchy[p][d]; + } + return 0; +} + /** * Inverts the square matrix M of size nxn into V. * We use Gauss elimination to invert. @@ -2424,7 +3082,7 @@ static void invert(unsigned char* M, unsigned char* V, unsigned n) * * That are always satisfied for any 0<=xlevel, buffer, diskmax, state->block_size); + raid_gen(RAID_POWER, state->level, buffer, diskmax, state->block_size); /* compare the parity */ for(l=0;llevel;++l) { diff --git a/selftest.c b/selftest.c index 312943f9..6b8d3ae6 100644 --- a/selftest.c +++ b/selftest.c @@ -46,7 +46,7 @@ static struct hash_test_vector TEST_SPOOKY2[] = { { 0, 0, { 0 } } }; -static void recovtest(unsigned diskmax, unsigned block_size) +static void recovtest(unsigned kind, unsigned diskmax, unsigned block_size) { void* buffer_alloc; unsigned char** buffer; @@ -57,6 +57,7 @@ static void recovtest(unsigned diskmax, unsigned block_size) unsigned char* buffer_zero; unsigned char* buffer_bad; unsigned buffermax; + unsigned level; unsigned i, j, k, l; unsigned n; @@ -92,7 +93,13 @@ static void recovtest(unsigned diskmax, unsigned block_size) { 3, { 0, 1, 2 } } }; - buffermax = diskmax + LEV_MAX * 2 + 1 + 1; + if (kind == RAID_POWER) { + level = 4; + } else { + level = 4; /* TODO preliminary support limited to 4 parity */ + } + + buffermax = diskmax + level * 2 + 1 + 1; buffer = malloc_nofail_vector_align(buffermax, block_size, &buffer_alloc); @@ -112,7 +119,7 @@ static void recovtest(unsigned diskmax, unsigned block_size) } /* compute the parity */ - raid_gen(LEV_MAX, buffer, diskmax, block_size); + raid_gen(kind, level, buffer, diskmax, block_size); /* check 4data */ for(i=0;i RAID_POWER_QP_DATA_LIMIT && l >= 3) + continue; + /* save */ a = buffer[i]; b = buffer[j]; @@ -137,7 +148,7 @@ static void recovtest(unsigned diskmax, unsigned block_size) buffer[l] = buffer_test3; /* recover */ - raid_recov_4data(i, j, k, l, 0, 1, 2, 3, buffer, diskmax, buffer_zero, block_size); + raid_recov_4data(kind, i, j, k, l, 0, 1, 2, 3, buffer, diskmax, buffer_zero, block_size); /* check */ if (memcmp(buffer_test0, a, block_size) != 0 @@ -169,8 +180,9 @@ static void recovtest(unsigned diskmax, unsigned block_size) unsigned char* c; unsigned char* p; - /* this is the point where quad parity fails over RAIDQP_DATA_LIMIT data disks */ - if (diskmax > RAIDQP_DATA_LIMIT && COMBO3[n].use[2] >= 3) + /* enforce the limit */ + /* this is the point where quad parity fails over RAID_POWER_QP_DATA_LIMIT data disks */ + if (kind == RAID_POWER && diskmax > RAID_POWER_QP_DATA_LIMIT && COMBO3[n].use[2] >= 3) continue; /* save */ @@ -189,7 +201,7 @@ static void recovtest(unsigned diskmax, unsigned block_size) buffer[l] = buffer_bad; /* recover ignoring p */ - raid_recov_3data(i, j, k, COMBO3[n].use[0], COMBO3[n].use[1], COMBO3[n].use[2], buffer, diskmax, buffer_zero, block_size); + raid_recov_3data(kind, i, j, k, COMBO3[n].use[0], COMBO3[n].use[1], COMBO3[n].use[2], buffer, diskmax, buffer_zero, block_size); /* check */ if (memcmp(buffer_test0, a, block_size) != 0 @@ -221,6 +233,10 @@ static void recovtest(unsigned diskmax, unsigned block_size) unsigned char* p; unsigned char* q; + /* enforce the limit */ + if (kind == RAID_POWER && diskmax > RAID_POWER_QP_DATA_LIMIT && COMBO2[n].use[1] >= 3) + continue; + /* save */ a = buffer[i]; b = buffer[j]; @@ -238,7 +254,7 @@ static void recovtest(unsigned diskmax, unsigned block_size) buffer[l] = buffer_bad; /* recover */ - raid_recov_2data(i, j, COMBO2[n].use[0], COMBO2[n].use[1], buffer, diskmax, buffer_zero, block_size); + raid_recov_2data(kind, i, j, COMBO2[n].use[0], COMBO2[n].use[1], buffer, diskmax, buffer_zero, block_size); /* check */ if (memcmp(buffer_test0, a, block_size) != 0 @@ -267,6 +283,10 @@ static void recovtest(unsigned diskmax, unsigned block_size) unsigned char* q; unsigned char* r; + /* enforce the limit */ + if (kind == RAID_POWER && diskmax > RAID_POWER_QP_DATA_LIMIT && COMBO1[n].use >= 3) + continue; + /* save */ a = buffer[i]; @@ -285,7 +305,7 @@ static void recovtest(unsigned diskmax, unsigned block_size) buffer[l] = buffer_bad; /* recover */ - raid_recov_1data(i, COMBO1[n].use, buffer, diskmax, buffer_zero, block_size); + raid_recov_1data(kind, i, COMBO1[n].use, buffer, diskmax, buffer_zero, block_size); /* check */ if (memcmp(buffer_test0, a, block_size) != 0) { @@ -307,7 +327,7 @@ static void recovtest(unsigned diskmax, unsigned block_size) free(buffer); } -static void gentest(unsigned diskmax, unsigned block_size) +static void gentest(unsigned kind, unsigned diskmax, unsigned block_size) { void* buffer_alloc; unsigned char** buffer; @@ -315,8 +335,15 @@ static void gentest(unsigned diskmax, unsigned block_size) unsigned i, j; void (*map[64])(unsigned char** buffer, unsigned diskmax, unsigned size); unsigned mac; + unsigned level; - buffermax = diskmax + LEV_MAX * 2; + if (kind == RAID_POWER) { + level = 4; + } else { + level = LEV_MAX; + } + + buffermax = diskmax + level * 2; buffer = malloc_nofail_vector_align(buffermax, block_size, &buffer_alloc); @@ -327,55 +354,82 @@ static void gentest(unsigned diskmax, unsigned block_size) } /* compute the parity */ - raid_gen(LEV_MAX, buffer, diskmax, block_size); + raid_gen(kind, level, buffer, diskmax, block_size); /* copy in back buffers */ - for(i=0;ilevel >= 2 && diskcount > RAID6_DATA_LIMIT) { + if (state->level >= 2 && diskcount > RAID_POWER_DATA_LIMIT) { /* RAID6 parity works for up to 255 drives, no more */ - fprintf(stderr, "Too many disks for RAID6. No more than %u.\n", RAID6_DATA_LIMIT); + fprintf(stderr, "Too many disks for RAID6. No more than %u.\n", RAID_POWER_DATA_LIMIT); exit(EXIT_FAILURE); } - if (state->level >= 4 && diskcount > RAIDQP_DATA_LIMIT) { + if (state->level >= 4 && diskcount > RAID_POWER_QP_DATA_LIMIT) { /* RAIDQP parity works for up to 21 drives, no more */ - fprintf(stderr, "Too many disks for RAIDQP. No more than %u.\n", RAIDQP_DATA_LIMIT); + fprintf(stderr, "Too many disks for RAIDQP. No more than %u.\n", RAID_POWER_QP_DATA_LIMIT); exit(EXIT_FAILURE); } diff --git a/state.h b/state.h index a8403be8..91c8f4cb 100644 --- a/state.h +++ b/state.h @@ -18,13 +18,15 @@ #ifndef __STATE_H #define __STATE_H +#include "elem.h" + /****************************************************************************/ /* parity level */ /** * Max level of parity supported. */ -#define LEV_MAX 4 +#define LEV_MAX 6 /** * Returns the parity name: Parity, Q-Parity, R-Parity, S-Parity. diff --git a/sync.c b/sync.c index 175b673c..21a11394 100644 --- a/sync.c +++ b/sync.c @@ -374,7 +374,7 @@ static int state_sync_process(struct snapraid_state* state, struct snapraid_pari /* updates the parity only if really needed */ if (parity_needs_to_be_updated) { /* compute the parity */ - raid_gen(state->level, buffer, diskmax, state->block_size); + raid_gen(RAID_POWER, state->level, buffer, diskmax, state->block_size); /* write the parity */ for(l=0;llevel;++l) { diff --git a/tables.h b/tables.h index 98dfdc68..60e8aa91 100644 --- a/tables.h +++ b/tables.h @@ -8795,42 +8795,6 @@ const unsigned char __attribute__((aligned(256))) gfexp4[256] = 0x58, 0x7d, 0xe9, 0x83, 0x36, 0xd8, 0x47, 0x01, }; -const unsigned char __attribute__((aligned(256))) gfexp8[256] = -{ - 0x01, 0x08, 0x40, 0x3a, 0xcd, 0x26, 0x2d, 0x75, - 0x8f, 0x0c, 0x60, 0x27, 0x25, 0x35, 0xb5, 0xc1, - 0x46, 0x0a, 0x50, 0xba, 0xb9, 0xa1, 0x61, 0x2f, - 0x65, 0x0f, 0x78, 0xe7, 0x6b, 0x7f, 0xdf, 0xb6, - 0xd9, 0x86, 0x44, 0x1a, 0xd0, 0xce, 0x3e, 0xed, - 0x3b, 0xc5, 0x66, 0x17, 0xb8, 0xa9, 0x21, 0x15, - 0xa8, 0x29, 0x55, 0x92, 0xe4, 0x73, 0xbf, 0x91, - 0xfc, 0xb3, 0xf1, 0xdb, 0x96, 0xc4, 0x6e, 0x57, - 0x82, 0x64, 0x07, 0x38, 0xdd, 0xa6, 0x59, 0xf2, - 0xc3, 0x56, 0x8a, 0x24, 0x3d, 0xf5, 0xfb, 0x8b, - 0x2c, 0x7d, 0xcf, 0x36, 0xad, 0x01, 0x08, 0x40, - 0x3a, 0xcd, 0x26, 0x2d, 0x75, 0x8f, 0x0c, 0x60, - 0x27, 0x25, 0x35, 0xb5, 0xc1, 0x46, 0x0a, 0x50, - 0xba, 0xb9, 0xa1, 0x61, 0x2f, 0x65, 0x0f, 0x78, - 0xe7, 0x6b, 0x7f, 0xdf, 0xb6, 0xd9, 0x86, 0x44, - 0x1a, 0xd0, 0xce, 0x3e, 0xed, 0x3b, 0xc5, 0x66, - 0x17, 0xb8, 0xa9, 0x21, 0x15, 0xa8, 0x29, 0x55, - 0x92, 0xe4, 0x73, 0xbf, 0x91, 0xfc, 0xb3, 0xf1, - 0xdb, 0x96, 0xc4, 0x6e, 0x57, 0x82, 0x64, 0x07, - 0x38, 0xdd, 0xa6, 0x59, 0xf2, 0xc3, 0x56, 0x8a, - 0x24, 0x3d, 0xf5, 0xfb, 0x8b, 0x2c, 0x7d, 0xcf, - 0x36, 0xad, 0x01, 0x08, 0x40, 0x3a, 0xcd, 0x26, - 0x2d, 0x75, 0x8f, 0x0c, 0x60, 0x27, 0x25, 0x35, - 0xb5, 0xc1, 0x46, 0x0a, 0x50, 0xba, 0xb9, 0xa1, - 0x61, 0x2f, 0x65, 0x0f, 0x78, 0xe7, 0x6b, 0x7f, - 0xdf, 0xb6, 0xd9, 0x86, 0x44, 0x1a, 0xd0, 0xce, - 0x3e, 0xed, 0x3b, 0xc5, 0x66, 0x17, 0xb8, 0xa9, - 0x21, 0x15, 0xa8, 0x29, 0x55, 0x92, 0xe4, 0x73, - 0xbf, 0x91, 0xfc, 0xb3, 0xf1, 0xdb, 0x96, 0xc4, - 0x6e, 0x57, 0x82, 0x64, 0x07, 0x38, 0xdd, 0xa6, - 0x59, 0xf2, 0xc3, 0x56, 0x8a, 0x24, 0x3d, 0xf5, - 0xfb, 0x8b, 0x2c, 0x7d, 0xcf, 0x36, 0xad, 0x01, -}; - const unsigned char __attribute__((aligned(256))) gfinv[256] = { /* note that the first element is not significative */ @@ -8876,3 +8840,69640 @@ const unsigned char __attribute__((aligned(256))) gfinv[256] = #define GFPOLY16 { 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d, 0x1d } #define GFMASK16 { 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f } +/** + * Power matrix used to generate parity. + * This matrix is valid for up to 4 parity with 21 data disks. + * + * 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 + * 01 02 04 08 10 20 40 80 1d 3a 74 e8 cd 87 13 26 4c 98 2d 5a b4 75 ea c9 8f 03 06 0c 18 30 60 c0 9d 27 4e 9c 25 4a 94 35 6a d4 b5 77 ee c1 9f 23 46 8c 05 0a 14 28 50 a0 5d ba 69 d2 b9 6f de a1 5f be 61 c2 99 2f 5e bc 65 ca 89 0f 1e 3c 78 f0 fd e7 d3 bb 6b d6 b1 7f fe e1 df a3 5b b6 71 e2 d9 af 43 86 11 22 44 88 0d 1a 34 68 d0 bd 67 ce 81 1f 3e 7c f8 ed c7 93 3b 76 ec c5 97 33 66 cc 85 17 2e 5c b8 6d da a9 4f 9e 21 42 84 15 2a 54 a8 4d 9a 29 52 a4 55 aa 49 92 39 72 e4 d5 b7 73 e6 d1 bf 63 c6 91 3f 7e fc e5 d7 b3 7b f6 f1 ff e3 db ab 4b 96 31 62 c4 95 37 6e dc a5 57 ae 41 82 19 32 64 c8 8d 07 0e 1c 38 70 e0 dd a7 53 a6 51 a2 59 b2 79 f2 f9 ef c3 9b 2b 56 ac 45 8a 09 12 24 48 90 3d 7a f4 f5 f7 f3 fb eb cb 8b 0b 16 2c 58 b0 7d fa e9 cf 83 1b 36 6c d8 ad 47 8e + * 01 04 10 40 1d 74 cd 13 4c 2d b4 ea 8f 06 18 60 9d 4e 25 94 6a b5 ee 9f 46 05 14 50 5d 69 b9 de 5f 61 99 5e 65 89 1e 78 fd d3 6b b1 fe df 5b 71 d9 43 11 44 0d 34 d0 67 81 3e f8 c7 3b ec 97 66 85 2e b8 da 4f 21 84 2a a8 9a 52 55 49 39 e4 b7 e6 bf c6 3f fc d7 7b f1 e3 ab 96 62 95 6e a5 ae 82 32 c8 07 1c 70 dd 53 51 59 79 f9 c3 2b ac 8a 12 48 3d f4 f7 fb cb 0b 2c b0 fa cf 1b 6c ad 8e 02 08 20 80 3a e8 87 26 98 5a 75 c9 03 0c 30 c0 27 9c 4a 35 d4 77 c1 23 8c 0a 28 a0 ba d2 6f a1 be c2 2f bc ca 0f 3c f0 e7 bb d6 7f e1 a3 b6 e2 af 86 22 88 1a 68 bd ce 1f 7c ed 93 76 c5 33 cc 17 5c 6d a9 9e 42 15 54 4d 29 a4 aa 92 72 d5 73 d1 63 91 7e e5 b3 f6 ff db 4b 31 c4 37 dc 57 41 19 64 8d 0e 38 e0 a7 a6 a2 b2 f2 ef 9b 56 45 09 24 90 7a f5 f3 eb 8b 16 58 7d e9 83 36 d8 47 + * 01 08 40 3a cd 26 2d 75 8f 0c 60 27 25 35 b5 c1 46 0a 50 ba b9 + */ +const unsigned char __attribute__((aligned(256))) gfmatrix_power[4][256] = +{ + { + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + }, + { + 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, + 0x1d, 0x3a, 0x74, 0xe8, 0xcd, 0x87, 0x13, 0x26, + 0x4c, 0x98, 0x2d, 0x5a, 0xb4, 0x75, 0xea, 0xc9, + 0x8f, 0x03, 0x06, 0x0c, 0x18, 0x30, 0x60, 0xc0, + 0x9d, 0x27, 0x4e, 0x9c, 0x25, 0x4a, 0x94, 0x35, + 0x6a, 0xd4, 0xb5, 0x77, 0xee, 0xc1, 0x9f, 0x23, + 0x46, 0x8c, 0x05, 0x0a, 0x14, 0x28, 0x50, 0xa0, + 0x5d, 0xba, 0x69, 0xd2, 0xb9, 0x6f, 0xde, 0xa1, + 0x5f, 0xbe, 0x61, 0xc2, 0x99, 0x2f, 0x5e, 0xbc, + 0x65, 0xca, 0x89, 0x0f, 0x1e, 0x3c, 0x78, 0xf0, + 0xfd, 0xe7, 0xd3, 0xbb, 0x6b, 0xd6, 0xb1, 0x7f, + 0xfe, 0xe1, 0xdf, 0xa3, 0x5b, 0xb6, 0x71, 0xe2, + 0xd9, 0xaf, 0x43, 0x86, 0x11, 0x22, 0x44, 0x88, + 0x0d, 0x1a, 0x34, 0x68, 0xd0, 0xbd, 0x67, 0xce, + 0x81, 0x1f, 0x3e, 0x7c, 0xf8, 0xed, 0xc7, 0x93, + 0x3b, 0x76, 0xec, 0xc5, 0x97, 0x33, 0x66, 0xcc, + 0x85, 0x17, 0x2e, 0x5c, 0xb8, 0x6d, 0xda, 0xa9, + 0x4f, 0x9e, 0x21, 0x42, 0x84, 0x15, 0x2a, 0x54, + 0xa8, 0x4d, 0x9a, 0x29, 0x52, 0xa4, 0x55, 0xaa, + 0x49, 0x92, 0x39, 0x72, 0xe4, 0xd5, 0xb7, 0x73, + 0xe6, 0xd1, 0xbf, 0x63, 0xc6, 0x91, 0x3f, 0x7e, + 0xfc, 0xe5, 0xd7, 0xb3, 0x7b, 0xf6, 0xf1, 0xff, + 0xe3, 0xdb, 0xab, 0x4b, 0x96, 0x31, 0x62, 0xc4, + 0x95, 0x37, 0x6e, 0xdc, 0xa5, 0x57, 0xae, 0x41, + 0x82, 0x19, 0x32, 0x64, 0xc8, 0x8d, 0x07, 0x0e, + 0x1c, 0x38, 0x70, 0xe0, 0xdd, 0xa7, 0x53, 0xa6, + 0x51, 0xa2, 0x59, 0xb2, 0x79, 0xf2, 0xf9, 0xef, + 0xc3, 0x9b, 0x2b, 0x56, 0xac, 0x45, 0x8a, 0x09, + 0x12, 0x24, 0x48, 0x90, 0x3d, 0x7a, 0xf4, 0xf5, + 0xf7, 0xf3, 0xfb, 0xeb, 0xcb, 0x8b, 0x0b, 0x16, + 0x2c, 0x58, 0xb0, 0x7d, 0xfa, 0xe9, 0xcf, 0x83, + 0x1b, 0x36, 0x6c, 0xd8, 0xad, 0x47, 0x8e, + }, + { + 0x01, 0x04, 0x10, 0x40, 0x1d, 0x74, 0xcd, 0x13, + 0x4c, 0x2d, 0xb4, 0xea, 0x8f, 0x06, 0x18, 0x60, + 0x9d, 0x4e, 0x25, 0x94, 0x6a, 0xb5, 0xee, 0x9f, + 0x46, 0x05, 0x14, 0x50, 0x5d, 0x69, 0xb9, 0xde, + 0x5f, 0x61, 0x99, 0x5e, 0x65, 0x89, 0x1e, 0x78, + 0xfd, 0xd3, 0x6b, 0xb1, 0xfe, 0xdf, 0x5b, 0x71, + 0xd9, 0x43, 0x11, 0x44, 0x0d, 0x34, 0xd0, 0x67, + 0x81, 0x3e, 0xf8, 0xc7, 0x3b, 0xec, 0x97, 0x66, + 0x85, 0x2e, 0xb8, 0xda, 0x4f, 0x21, 0x84, 0x2a, + 0xa8, 0x9a, 0x52, 0x55, 0x49, 0x39, 0xe4, 0xb7, + 0xe6, 0xbf, 0xc6, 0x3f, 0xfc, 0xd7, 0x7b, 0xf1, + 0xe3, 0xab, 0x96, 0x62, 0x95, 0x6e, 0xa5, 0xae, + 0x82, 0x32, 0xc8, 0x07, 0x1c, 0x70, 0xdd, 0x53, + 0x51, 0x59, 0x79, 0xf9, 0xc3, 0x2b, 0xac, 0x8a, + 0x12, 0x48, 0x3d, 0xf4, 0xf7, 0xfb, 0xcb, 0x0b, + 0x2c, 0xb0, 0xfa, 0xcf, 0x1b, 0x6c, 0xad, 0x8e, + 0x02, 0x08, 0x20, 0x80, 0x3a, 0xe8, 0x87, 0x26, + 0x98, 0x5a, 0x75, 0xc9, 0x03, 0x0c, 0x30, 0xc0, + 0x27, 0x9c, 0x4a, 0x35, 0xd4, 0x77, 0xc1, 0x23, + 0x8c, 0x0a, 0x28, 0xa0, 0xba, 0xd2, 0x6f, 0xa1, + 0xbe, 0xc2, 0x2f, 0xbc, 0xca, 0x0f, 0x3c, 0xf0, + 0xe7, 0xbb, 0xd6, 0x7f, 0xe1, 0xa3, 0xb6, 0xe2, + 0xaf, 0x86, 0x22, 0x88, 0x1a, 0x68, 0xbd, 0xce, + 0x1f, 0x7c, 0xed, 0x93, 0x76, 0xc5, 0x33, 0xcc, + 0x17, 0x5c, 0x6d, 0xa9, 0x9e, 0x42, 0x15, 0x54, + 0x4d, 0x29, 0xa4, 0xaa, 0x92, 0x72, 0xd5, 0x73, + 0xd1, 0x63, 0x91, 0x7e, 0xe5, 0xb3, 0xf6, 0xff, + 0xdb, 0x4b, 0x31, 0xc4, 0x37, 0xdc, 0x57, 0x41, + 0x19, 0x64, 0x8d, 0x0e, 0x38, 0xe0, 0xa7, 0xa6, + 0xa2, 0xb2, 0xf2, 0xef, 0x9b, 0x56, 0x45, 0x09, + 0x24, 0x90, 0x7a, 0xf5, 0xf3, 0xeb, 0x8b, 0x16, + 0x58, 0x7d, 0xe9, 0x83, 0x36, 0xd8, 0x47, + }, + { + 0x01, 0x08, 0x40, 0x3a, 0xcd, 0x26, 0x2d, 0x75, + 0x8f, 0x0c, 0x60, 0x27, 0x25, 0x35, 0xb5, 0xc1, + 0x46, 0x0a, 0x50, 0xba, 0xb9, + }, +}; + +/** + * Extended Cauchy matrix used to generate parity. + * This matrix is valid for up to 6 parity with 251 data disks. + * + * 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 01 + * 01 02 04 08 10 20 40 80 1d 3a 74 e8 cd 87 13 26 4c 98 2d 5a b4 75 ea c9 8f 03 06 0c 18 30 60 c0 9d 27 4e 9c 25 4a 94 35 6a d4 b5 77 ee c1 9f 23 46 8c 05 0a 14 28 50 a0 5d ba 69 d2 b9 6f de a1 5f be 61 c2 99 2f 5e bc 65 ca 89 0f 1e 3c 78 f0 fd e7 d3 bb 6b d6 b1 7f fe e1 df a3 5b b6 71 e2 d9 af 43 86 11 22 44 88 0d 1a 34 68 d0 bd 67 ce 81 1f 3e 7c f8 ed c7 93 3b 76 ec c5 97 33 66 cc 85 17 2e 5c b8 6d da a9 4f 9e 21 42 84 15 2a 54 a8 4d 9a 29 52 a4 55 aa 49 92 39 72 e4 d5 b7 73 e6 d1 bf 63 c6 91 3f 7e fc e5 d7 b3 7b f6 f1 ff e3 db ab 4b 96 31 62 c4 95 37 6e dc a5 57 ae 41 82 19 32 64 c8 8d 07 0e 1c 38 70 e0 dd a7 53 a6 51 a2 59 b2 79 f2 f9 ef c3 9b 2b 56 ac 45 8a 09 12 24 48 90 3d 7a f4 f5 f7 f3 fb eb cb 8b 0b 16 2c 58 b0 7d fa e9 cf 83 1b 36 6c + * f4 53 4e b7 76 2f a4 de 54 7d b4 42 fc ee cb 33 e0 9d 31 f7 74 d4 e7 8f c9 d3 db e1 44 2b 2c d8 98 49 04 be 81 d0 dc 59 21 75 e3 bb 87 63 1c 8c 34 23 c2 91 e6 11 cf 4b 3d a7 f5 62 17 48 80 1b d5 9c 1a 05 19 20 c3 5c a3 24 2e 9b 88 3b 73 3f ff ea 03 77 e5 43 f1 7e 84 0c 4f 65 57 9a f6 86 d1 f2 d6 e2 28 a9 18 1e ce 61 46 38 4a 0b 93 0d 25 70 66 e4 36 51 ac 67 3c 10 32 07 37 26 3e b0 a8 b9 89 bc 9e b2 e9 22 df b8 6a e8 fe ab 83 1d 85 c4 b6 c8 ef 40 90 96 27 a6 6c 58 7c 5f 08 78 14 d9 eb c1 82 0a f0 7f cd 6b f9 8d 64 71 b1 fd b5 06 15 a0 aa 2d d2 4d ae 97 8b 94 12 5b 95 0e c6 99 ec 7b 29 b3 c5 41 9f 68 1f 4c ad ba 02 92 ed 09 35 6d fb af d7 52 5e 0f 30 8a c7 16 56 a2 a5 ca 6f 55 5d 47 01 69 5a fa 79 bf 13 6e bd 45 60 72 cc 3a f3 da 50 2a a1 f8 39 + * a7 27 d5 3b 99 52 6f 2a b0 5a 21 7e 77 eb 97 70 c0 96 f5 3a 6a fd c9 ea e7 e3 fe 22 9b 16 6c 4c aa 02 5f ce 68 6e a2 9e b4 ff d3 cd bf 0e 46 1a 9f 61 c6 73 86 e9 ab 90 dd f4 31 85 24 40 83 e4 4e 0d 8c 82 10 ef 2e df 12 17 c3 44 93 b7 91 f1 75 8f b5 fc af f6 3f 42 06 a9 bc a5 4d 7b 43 e6 79 6b 71 14 da 0c 0f 67 be 23 1c 25 8b c7 88 9c 38 33 72 1b a6 56 bd 1e 08 19 8d 95 13 1f 58 54 d2 ca 5e 4f 59 fa 11 e1 5c 35 74 7f db cf 80 cc 62 5b 64 f9 20 48 4b 9d 53 36 2c 3e a1 04 3c 0a e2 fb ee 41 05 78 b1 e8 bb f2 c8 32 b6 d6 f0 d4 03 84 50 55 98 69 a8 57 c5 cb 4a 09 a3 c4 07 63 c2 76 b3 9a d7 ec ae c1 34 81 26 d8 5d 01 49 f8 8a 94 b8 f3 d9 e5 29 2f 89 18 45 ed 0b 2b 51 dc 65 b9 a4 a0 ad 8e ba 2d 7d b2 d1 87 37 d0 ac 30 39 66 1d f7 6d 28 15 de 7c 92 60 + * 9d e4 93 c2 29 b9 15 58 2d 9e 3f b5 fb c5 38 60 4b f4 1d 35 f0 ea 75 fd ff 7f 11 c3 0b 36 26 55 01 a1 67 34 37 51 4f 5a f1 e7 e8 d1 07 23 0d c1 be 63 b7 43 fa db 48 e0 7a 96 cc 12 20 cf 72 27 88 46 41 08 f9 17 e1 09 85 ef 22 c7 d5 c6 f6 b4 c9 d4 7e d9 7b 91 21 03 da 5e dc a8 b3 af 73 b2 bb b6 0a 6d 06 89 bd 5f 9f 0e 9c cb ed 44 4e 1c 97 39 83 53 2b d0 0f 04 82 c8 c4 87 81 2c 2a 69 65 2f a9 a2 7d 86 fe 2e 94 3a b1 e3 e9 40 66 31 a3 32 f2 10 24 ab c0 a7 1b 16 1f de 02 1e 05 71 f3 77 ae 8c 3c d6 74 d3 79 64 19 5b 6b 78 6a 8f 42 28 a4 4c ba 54 a5 ec eb 25 8a df 62 8d bf 61 3b d7 4d e5 76 57 ee 1a ce 13 6c a0 8e aa 7c 45 4a 5c f7 e2 fc 9a 99 ca 0c ac f8 8b 9b a6 6e bc d2 52 50 d8 47 5d 98 b0 59 e6 cd 95 68 56 18 92 33 80 f5 b8 14 84 6f 3e 49 30 70 + * 72 c7 61 9a d2 84 2c 98 4f 91 d4 f3 ec 1c 30 ab 7a 80 94 78 75 b4 f0 f1 b1 86 ef 8b 1b 13 a4 8e de bd 1a 95 a6 a9 2d f6 fd 74 e6 8d 9f 88 ee 5f bf d5 af 7d e3 24 70 3d 4b 66 09 10 e9 39 9d 44 23 ae 04 f2 85 fe 8a cc f9 11 ed e4 63 7b 5a ea 6a 3f e2 b3 c6 9e 8f 6d 2f 6e 54 d7 d9 b7 59 d3 5b 05 b8 03 ca d0 a1 c1 07 4e eb f8 22 27 0e c5 92 cf a7 9b 68 89 02 41 64 62 cd ce 16 15 ba bc 99 da 51 b0 43 7f 17 4a 1d d6 ff fa 20 33 96 df 19 79 08 12 db 60 dd 83 0b 81 6f 01 0f 8c b6 f7 b5 57 46 1e 6b 3a e7 b2 32 82 a3 bb 3c 35 c9 21 14 52 26 5d 2a dc 76 fb 9c 45 e1 31 c8 d1 be 93 e5 a8 fc 3b a5 77 0d 67 87 36 50 47 55 3e ac 25 2e f5 71 7e 4d c2 65 06 56 7c cb c3 53 37 5e 69 29 28 6c ad a0 4c 58 a2 73 e8 c4 34 2b 0c 49 97 40 f4 5c 0a 42 b9 1f aa 18 38 48 + */ +const unsigned char __attribute__((aligned(256))) gfmatrix_cauchy[6][256] = +{ + { + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, + 0x01, 0x01, 0x01, + }, + { + 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, + 0x1d, 0x3a, 0x74, 0xe8, 0xcd, 0x87, 0x13, 0x26, + 0x4c, 0x98, 0x2d, 0x5a, 0xb4, 0x75, 0xea, 0xc9, + 0x8f, 0x03, 0x06, 0x0c, 0x18, 0x30, 0x60, 0xc0, + 0x9d, 0x27, 0x4e, 0x9c, 0x25, 0x4a, 0x94, 0x35, + 0x6a, 0xd4, 0xb5, 0x77, 0xee, 0xc1, 0x9f, 0x23, + 0x46, 0x8c, 0x05, 0x0a, 0x14, 0x28, 0x50, 0xa0, + 0x5d, 0xba, 0x69, 0xd2, 0xb9, 0x6f, 0xde, 0xa1, + 0x5f, 0xbe, 0x61, 0xc2, 0x99, 0x2f, 0x5e, 0xbc, + 0x65, 0xca, 0x89, 0x0f, 0x1e, 0x3c, 0x78, 0xf0, + 0xfd, 0xe7, 0xd3, 0xbb, 0x6b, 0xd6, 0xb1, 0x7f, + 0xfe, 0xe1, 0xdf, 0xa3, 0x5b, 0xb6, 0x71, 0xe2, + 0xd9, 0xaf, 0x43, 0x86, 0x11, 0x22, 0x44, 0x88, + 0x0d, 0x1a, 0x34, 0x68, 0xd0, 0xbd, 0x67, 0xce, + 0x81, 0x1f, 0x3e, 0x7c, 0xf8, 0xed, 0xc7, 0x93, + 0x3b, 0x76, 0xec, 0xc5, 0x97, 0x33, 0x66, 0xcc, + 0x85, 0x17, 0x2e, 0x5c, 0xb8, 0x6d, 0xda, 0xa9, + 0x4f, 0x9e, 0x21, 0x42, 0x84, 0x15, 0x2a, 0x54, + 0xa8, 0x4d, 0x9a, 0x29, 0x52, 0xa4, 0x55, 0xaa, + 0x49, 0x92, 0x39, 0x72, 0xe4, 0xd5, 0xb7, 0x73, + 0xe6, 0xd1, 0xbf, 0x63, 0xc6, 0x91, 0x3f, 0x7e, + 0xfc, 0xe5, 0xd7, 0xb3, 0x7b, 0xf6, 0xf1, 0xff, + 0xe3, 0xdb, 0xab, 0x4b, 0x96, 0x31, 0x62, 0xc4, + 0x95, 0x37, 0x6e, 0xdc, 0xa5, 0x57, 0xae, 0x41, + 0x82, 0x19, 0x32, 0x64, 0xc8, 0x8d, 0x07, 0x0e, + 0x1c, 0x38, 0x70, 0xe0, 0xdd, 0xa7, 0x53, 0xa6, + 0x51, 0xa2, 0x59, 0xb2, 0x79, 0xf2, 0xf9, 0xef, + 0xc3, 0x9b, 0x2b, 0x56, 0xac, 0x45, 0x8a, 0x09, + 0x12, 0x24, 0x48, 0x90, 0x3d, 0x7a, 0xf4, 0xf5, + 0xf7, 0xf3, 0xfb, 0xeb, 0xcb, 0x8b, 0x0b, 0x16, + 0x2c, 0x58, 0xb0, 0x7d, 0xfa, 0xe9, 0xcf, 0x83, + 0x1b, 0x36, 0x6c, + }, + { + 0xf4, 0x53, 0x4e, 0xb7, 0x76, 0x2f, 0xa4, 0xde, + 0x54, 0x7d, 0xb4, 0x42, 0xfc, 0xee, 0xcb, 0x33, + 0xe0, 0x9d, 0x31, 0xf7, 0x74, 0xd4, 0xe7, 0x8f, + 0xc9, 0xd3, 0xdb, 0xe1, 0x44, 0x2b, 0x2c, 0xd8, + 0x98, 0x49, 0x04, 0xbe, 0x81, 0xd0, 0xdc, 0x59, + 0x21, 0x75, 0xe3, 0xbb, 0x87, 0x63, 0x1c, 0x8c, + 0x34, 0x23, 0xc2, 0x91, 0xe6, 0x11, 0xcf, 0x4b, + 0x3d, 0xa7, 0xf5, 0x62, 0x17, 0x48, 0x80, 0x1b, + 0xd5, 0x9c, 0x1a, 0x05, 0x19, 0x20, 0xc3, 0x5c, + 0xa3, 0x24, 0x2e, 0x9b, 0x88, 0x3b, 0x73, 0x3f, + 0xff, 0xea, 0x03, 0x77, 0xe5, 0x43, 0xf1, 0x7e, + 0x84, 0x0c, 0x4f, 0x65, 0x57, 0x9a, 0xf6, 0x86, + 0xd1, 0xf2, 0xd6, 0xe2, 0x28, 0xa9, 0x18, 0x1e, + 0xce, 0x61, 0x46, 0x38, 0x4a, 0x0b, 0x93, 0x0d, + 0x25, 0x70, 0x66, 0xe4, 0x36, 0x51, 0xac, 0x67, + 0x3c, 0x10, 0x32, 0x07, 0x37, 0x26, 0x3e, 0xb0, + 0xa8, 0xb9, 0x89, 0xbc, 0x9e, 0xb2, 0xe9, 0x22, + 0xdf, 0xb8, 0x6a, 0xe8, 0xfe, 0xab, 0x83, 0x1d, + 0x85, 0xc4, 0xb6, 0xc8, 0xef, 0x40, 0x90, 0x96, + 0x27, 0xa6, 0x6c, 0x58, 0x7c, 0x5f, 0x08, 0x78, + 0x14, 0xd9, 0xeb, 0xc1, 0x82, 0x0a, 0xf0, 0x7f, + 0xcd, 0x6b, 0xf9, 0x8d, 0x64, 0x71, 0xb1, 0xfd, + 0xb5, 0x06, 0x15, 0xa0, 0xaa, 0x2d, 0xd2, 0x4d, + 0xae, 0x97, 0x8b, 0x94, 0x12, 0x5b, 0x95, 0x0e, + 0xc6, 0x99, 0xec, 0x7b, 0x29, 0xb3, 0xc5, 0x41, + 0x9f, 0x68, 0x1f, 0x4c, 0xad, 0xba, 0x02, 0x92, + 0xed, 0x09, 0x35, 0x6d, 0xfb, 0xaf, 0xd7, 0x52, + 0x5e, 0x0f, 0x30, 0x8a, 0xc7, 0x16, 0x56, 0xa2, + 0xa5, 0xca, 0x6f, 0x55, 0x5d, 0x47, 0x01, 0x69, + 0x5a, 0xfa, 0x79, 0xbf, 0x13, 0x6e, 0xbd, 0x45, + 0x60, 0x72, 0xcc, 0x3a, 0xf3, 0xda, 0x50, 0x2a, + 0xa1, 0xf8, 0x39, + }, + { + 0xa7, 0x27, 0xd5, 0x3b, 0x99, 0x52, 0x6f, 0x2a, + 0xb0, 0x5a, 0x21, 0x7e, 0x77, 0xeb, 0x97, 0x70, + 0xc0, 0x96, 0xf5, 0x3a, 0x6a, 0xfd, 0xc9, 0xea, + 0xe7, 0xe3, 0xfe, 0x22, 0x9b, 0x16, 0x6c, 0x4c, + 0xaa, 0x02, 0x5f, 0xce, 0x68, 0x6e, 0xa2, 0x9e, + 0xb4, 0xff, 0xd3, 0xcd, 0xbf, 0x0e, 0x46, 0x1a, + 0x9f, 0x61, 0xc6, 0x73, 0x86, 0xe9, 0xab, 0x90, + 0xdd, 0xf4, 0x31, 0x85, 0x24, 0x40, 0x83, 0xe4, + 0x4e, 0x0d, 0x8c, 0x82, 0x10, 0xef, 0x2e, 0xdf, + 0x12, 0x17, 0xc3, 0x44, 0x93, 0xb7, 0x91, 0xf1, + 0x75, 0x8f, 0xb5, 0xfc, 0xaf, 0xf6, 0x3f, 0x42, + 0x06, 0xa9, 0xbc, 0xa5, 0x4d, 0x7b, 0x43, 0xe6, + 0x79, 0x6b, 0x71, 0x14, 0xda, 0x0c, 0x0f, 0x67, + 0xbe, 0x23, 0x1c, 0x25, 0x8b, 0xc7, 0x88, 0x9c, + 0x38, 0x33, 0x72, 0x1b, 0xa6, 0x56, 0xbd, 0x1e, + 0x08, 0x19, 0x8d, 0x95, 0x13, 0x1f, 0x58, 0x54, + 0xd2, 0xca, 0x5e, 0x4f, 0x59, 0xfa, 0x11, 0xe1, + 0x5c, 0x35, 0x74, 0x7f, 0xdb, 0xcf, 0x80, 0xcc, + 0x62, 0x5b, 0x64, 0xf9, 0x20, 0x48, 0x4b, 0x9d, + 0x53, 0x36, 0x2c, 0x3e, 0xa1, 0x04, 0x3c, 0x0a, + 0xe2, 0xfb, 0xee, 0x41, 0x05, 0x78, 0xb1, 0xe8, + 0xbb, 0xf2, 0xc8, 0x32, 0xb6, 0xd6, 0xf0, 0xd4, + 0x03, 0x84, 0x50, 0x55, 0x98, 0x69, 0xa8, 0x57, + 0xc5, 0xcb, 0x4a, 0x09, 0xa3, 0xc4, 0x07, 0x63, + 0xc2, 0x76, 0xb3, 0x9a, 0xd7, 0xec, 0xae, 0xc1, + 0x34, 0x81, 0x26, 0xd8, 0x5d, 0x01, 0x49, 0xf8, + 0x8a, 0x94, 0xb8, 0xf3, 0xd9, 0xe5, 0x29, 0x2f, + 0x89, 0x18, 0x45, 0xed, 0x0b, 0x2b, 0x51, 0xdc, + 0x65, 0xb9, 0xa4, 0xa0, 0xad, 0x8e, 0xba, 0x2d, + 0x7d, 0xb2, 0xd1, 0x87, 0x37, 0xd0, 0xac, 0x30, + 0x39, 0x66, 0x1d, 0xf7, 0x6d, 0x28, 0x15, 0xde, + 0x7c, 0x92, 0x60, + }, + { + 0x9d, 0xe4, 0x93, 0xc2, 0x29, 0xb9, 0x15, 0x58, + 0x2d, 0x9e, 0x3f, 0xb5, 0xfb, 0xc5, 0x38, 0x60, + 0x4b, 0xf4, 0x1d, 0x35, 0xf0, 0xea, 0x75, 0xfd, + 0xff, 0x7f, 0x11, 0xc3, 0x0b, 0x36, 0x26, 0x55, + 0x01, 0xa1, 0x67, 0x34, 0x37, 0x51, 0x4f, 0x5a, + 0xf1, 0xe7, 0xe8, 0xd1, 0x07, 0x23, 0x0d, 0xc1, + 0xbe, 0x63, 0xb7, 0x43, 0xfa, 0xdb, 0x48, 0xe0, + 0x7a, 0x96, 0xcc, 0x12, 0x20, 0xcf, 0x72, 0x27, + 0x88, 0x46, 0x41, 0x08, 0xf9, 0x17, 0xe1, 0x09, + 0x85, 0xef, 0x22, 0xc7, 0xd5, 0xc6, 0xf6, 0xb4, + 0xc9, 0xd4, 0x7e, 0xd9, 0x7b, 0x91, 0x21, 0x03, + 0xda, 0x5e, 0xdc, 0xa8, 0xb3, 0xaf, 0x73, 0xb2, + 0xbb, 0xb6, 0x0a, 0x6d, 0x06, 0x89, 0xbd, 0x5f, + 0x9f, 0x0e, 0x9c, 0xcb, 0xed, 0x44, 0x4e, 0x1c, + 0x97, 0x39, 0x83, 0x53, 0x2b, 0xd0, 0x0f, 0x04, + 0x82, 0xc8, 0xc4, 0x87, 0x81, 0x2c, 0x2a, 0x69, + 0x65, 0x2f, 0xa9, 0xa2, 0x7d, 0x86, 0xfe, 0x2e, + 0x94, 0x3a, 0xb1, 0xe3, 0xe9, 0x40, 0x66, 0x31, + 0xa3, 0x32, 0xf2, 0x10, 0x24, 0xab, 0xc0, 0xa7, + 0x1b, 0x16, 0x1f, 0xde, 0x02, 0x1e, 0x05, 0x71, + 0xf3, 0x77, 0xae, 0x8c, 0x3c, 0xd6, 0x74, 0xd3, + 0x79, 0x64, 0x19, 0x5b, 0x6b, 0x78, 0x6a, 0x8f, + 0x42, 0x28, 0xa4, 0x4c, 0xba, 0x54, 0xa5, 0xec, + 0xeb, 0x25, 0x8a, 0xdf, 0x62, 0x8d, 0xbf, 0x61, + 0x3b, 0xd7, 0x4d, 0xe5, 0x76, 0x57, 0xee, 0x1a, + 0xce, 0x13, 0x6c, 0xa0, 0x8e, 0xaa, 0x7c, 0x45, + 0x4a, 0x5c, 0xf7, 0xe2, 0xfc, 0x9a, 0x99, 0xca, + 0x0c, 0xac, 0xf8, 0x8b, 0x9b, 0xa6, 0x6e, 0xbc, + 0xd2, 0x52, 0x50, 0xd8, 0x47, 0x5d, 0x98, 0xb0, + 0x59, 0xe6, 0xcd, 0x95, 0x68, 0x56, 0x18, 0x92, + 0x33, 0x80, 0xf5, 0xb8, 0x14, 0x84, 0x6f, 0x3e, + 0x49, 0x30, 0x70, + }, + { + 0x72, 0xc7, 0x61, 0x9a, 0xd2, 0x84, 0x2c, 0x98, + 0x4f, 0x91, 0xd4, 0xf3, 0xec, 0x1c, 0x30, 0xab, + 0x7a, 0x80, 0x94, 0x78, 0x75, 0xb4, 0xf0, 0xf1, + 0xb1, 0x86, 0xef, 0x8b, 0x1b, 0x13, 0xa4, 0x8e, + 0xde, 0xbd, 0x1a, 0x95, 0xa6, 0xa9, 0x2d, 0xf6, + 0xfd, 0x74, 0xe6, 0x8d, 0x9f, 0x88, 0xee, 0x5f, + 0xbf, 0xd5, 0xaf, 0x7d, 0xe3, 0x24, 0x70, 0x3d, + 0x4b, 0x66, 0x09, 0x10, 0xe9, 0x39, 0x9d, 0x44, + 0x23, 0xae, 0x04, 0xf2, 0x85, 0xfe, 0x8a, 0xcc, + 0xf9, 0x11, 0xed, 0xe4, 0x63, 0x7b, 0x5a, 0xea, + 0x6a, 0x3f, 0xe2, 0xb3, 0xc6, 0x9e, 0x8f, 0x6d, + 0x2f, 0x6e, 0x54, 0xd7, 0xd9, 0xb7, 0x59, 0xd3, + 0x5b, 0x05, 0xb8, 0x03, 0xca, 0xd0, 0xa1, 0xc1, + 0x07, 0x4e, 0xeb, 0xf8, 0x22, 0x27, 0x0e, 0xc5, + 0x92, 0xcf, 0xa7, 0x9b, 0x68, 0x89, 0x02, 0x41, + 0x64, 0x62, 0xcd, 0xce, 0x16, 0x15, 0xba, 0xbc, + 0x99, 0xda, 0x51, 0xb0, 0x43, 0x7f, 0x17, 0x4a, + 0x1d, 0xd6, 0xff, 0xfa, 0x20, 0x33, 0x96, 0xdf, + 0x19, 0x79, 0x08, 0x12, 0xdb, 0x60, 0xdd, 0x83, + 0x0b, 0x81, 0x6f, 0x01, 0x0f, 0x8c, 0xb6, 0xf7, + 0xb5, 0x57, 0x46, 0x1e, 0x6b, 0x3a, 0xe7, 0xb2, + 0x32, 0x82, 0xa3, 0xbb, 0x3c, 0x35, 0xc9, 0x21, + 0x14, 0x52, 0x26, 0x5d, 0x2a, 0xdc, 0x76, 0xfb, + 0x9c, 0x45, 0xe1, 0x31, 0xc8, 0xd1, 0xbe, 0x93, + 0xe5, 0xa8, 0xfc, 0x3b, 0xa5, 0x77, 0x0d, 0x67, + 0x87, 0x36, 0x50, 0x47, 0x55, 0x3e, 0xac, 0x25, + 0x2e, 0xf5, 0x71, 0x7e, 0x4d, 0xc2, 0x65, 0x06, + 0x56, 0x7c, 0xcb, 0xc3, 0x53, 0x37, 0x5e, 0x69, + 0x29, 0x28, 0x6c, 0xad, 0xa0, 0x4c, 0x58, 0xa2, + 0x73, 0xe8, 0xc4, 0x34, 0x2b, 0x0c, 0x49, 0x97, + 0x40, 0xf4, 0x5c, 0x0a, 0x42, 0xb9, 0x1f, 0xaa, + 0x18, 0x38, 0x48, + }, +}; + +/** + * Multiplication tables for the Extended Cauchy matrix. + * + * Indexes are [DISK][DATA][PARITY - 1]. + * Where DISK is from 0 to 250, DATA from 0 to 255, PARITY from 1 to 5. + */ +const unsigned char __attribute__((aligned(256))) gfcauchy_mul[251][256][8] = +{ + { + { 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x01, 0xf4, 0xa7, 0x9d, 0x72 }, + { 0x02, 0xf5, 0x53, 0x27, 0xe4 }, + { 0x03, 0x01, 0xf4, 0xba, 0x96 }, + { 0x04, 0xf7, 0xa6, 0x4e, 0xd5 }, + { 0x05, 0x03, 0x01, 0xd3, 0xa7 }, + { 0x06, 0x02, 0xf5, 0x69, 0x31 }, + { 0x07, 0xf6, 0x52, 0xf4, 0x43 }, + { 0x08, 0xf3, 0x51, 0x9c, 0xb7 }, + { 0x09, 0x07, 0xf6, 0x01, 0xc5 }, + { 0x0a, 0x06, 0x02, 0xbb, 0x53 }, + { 0x0b, 0xf2, 0xa5, 0x26, 0x21 }, + { 0x0c, 0x04, 0xf7, 0xd2, 0x62 }, + { 0x0d, 0xf0, 0x50, 0x4f, 0x10 }, + { 0x0e, 0xf1, 0xa4, 0xf5, 0x86 }, + { 0x0f, 0x05, 0x03, 0x68, 0xf4 }, + { 0x10, 0xfb, 0xa2, 0x25, 0x73 }, + { 0x11, 0x0f, 0x05, 0xb8, 0x01 }, + { 0x12, 0x0e, 0xf1, 0x02, 0x97 }, + { 0x13, 0xfa, 0x56, 0x9f, 0xe5 }, + { 0x14, 0x0c, 0x04, 0x6b, 0xa6 }, + { 0x15, 0xf8, 0xa3, 0xf6, 0xd4 }, + { 0x16, 0xf9, 0x57, 0x4c, 0x42 }, + { 0x17, 0x0d, 0xf0, 0xd1, 0x30 }, + { 0x18, 0x08, 0xf3, 0xb9, 0xc4 }, + { 0x19, 0xfc, 0x54, 0x24, 0xb6 }, + { 0x1a, 0xfd, 0xa0, 0x9e, 0x20 }, + { 0x1b, 0x09, 0x07, 0x03, 0x52 }, + { 0x1c, 0xff, 0x55, 0xf7, 0x11 }, + { 0x1d, 0x0b, 0xf2, 0x6a, 0x63 }, + { 0x1e, 0x0a, 0x06, 0xd0, 0xf5 }, + { 0x1f, 0xfe, 0xa1, 0x4d, 0x87 }, + { 0x20, 0xeb, 0x59, 0x4a, 0xe6 }, + { 0x21, 0x1f, 0xfe, 0xd7, 0x94 }, + { 0x22, 0x1e, 0x0a, 0x6d, 0x02 }, + { 0x23, 0xea, 0xad, 0xf0, 0x70 }, + { 0x24, 0x1c, 0xff, 0x04, 0x33 }, + { 0x25, 0xe8, 0x58, 0x99, 0x41 }, + { 0x26, 0xe9, 0xac, 0x23, 0xd7 }, + { 0x27, 0x1d, 0x0b, 0xbe, 0xa5 }, + { 0x28, 0x18, 0x08, 0xd6, 0x51 }, + { 0x29, 0xec, 0xaf, 0x4b, 0x23 }, + { 0x2a, 0xed, 0x5b, 0xf1, 0xb5 }, + { 0x2b, 0x19, 0xfc, 0x6c, 0xc7 }, + { 0x2c, 0xef, 0xae, 0x98, 0x84 }, + { 0x2d, 0x1b, 0x09, 0x05, 0xf6 }, + { 0x2e, 0x1a, 0xfd, 0xbf, 0x60 }, + { 0x2f, 0xee, 0x5a, 0x22, 0x12 }, + { 0x30, 0x10, 0xfb, 0x6f, 0x95 }, + { 0x31, 0xe4, 0x5c, 0xf2, 0xe7 }, + { 0x32, 0xe5, 0xa8, 0x48, 0x71 }, + { 0x33, 0x11, 0x0f, 0xd5, 0x03 }, + { 0x34, 0xe7, 0x5d, 0x21, 0x40 }, + { 0x35, 0x13, 0xfa, 0xbc, 0x32 }, + { 0x36, 0x12, 0x0e, 0x06, 0xa4 }, + { 0x37, 0xe6, 0xa9, 0x9b, 0xd6 }, + { 0x38, 0xe3, 0xaa, 0xf3, 0x22 }, + { 0x39, 0x17, 0x0d, 0x6e, 0x50 }, + { 0x3a, 0x16, 0xf9, 0xd4, 0xc6 }, + { 0x3b, 0xe2, 0x5e, 0x49, 0xb4 }, + { 0x3c, 0x14, 0x0c, 0xbd, 0xf7 }, + { 0x3d, 0xe0, 0xab, 0x20, 0x85 }, + { 0x3e, 0xe1, 0x5f, 0x9a, 0x13 }, + { 0x3f, 0x15, 0xf8, 0x07, 0x61 }, + { 0x40, 0xcb, 0xb2, 0x94, 0xd1 }, + { 0x41, 0x3f, 0x15, 0x09, 0xa3 }, + { 0x42, 0x3e, 0xe1, 0xb3, 0x35 }, + { 0x43, 0xca, 0x46, 0x2e, 0x47 }, + { 0x44, 0x3c, 0x14, 0xda, 0x04 }, + { 0x45, 0xc8, 0xb3, 0x47, 0x76 }, + { 0x46, 0xc9, 0x47, 0xfd, 0xe0 }, + { 0x47, 0x3d, 0xe0, 0x60, 0x92 }, + { 0x48, 0x38, 0xe3, 0x08, 0x66 }, + { 0x49, 0xcc, 0x44, 0x95, 0x14 }, + { 0x4a, 0xcd, 0xb0, 0x2f, 0x82 }, + { 0x4b, 0x39, 0x17, 0xb2, 0xf0 }, + { 0x4c, 0xcf, 0x45, 0x46, 0xb3 }, + { 0x4d, 0x3b, 0xe2, 0xdb, 0xc1 }, + { 0x4e, 0x3a, 0x16, 0x61, 0x57 }, + { 0x4f, 0xce, 0xb1, 0xfc, 0x25 }, + { 0x50, 0x30, 0x10, 0xb1, 0xa2 }, + { 0x51, 0xc4, 0xb7, 0x2c, 0xd0 }, + { 0x52, 0xc5, 0x43, 0x96, 0x46 }, + { 0x53, 0x31, 0xe4, 0x0b, 0x34 }, + { 0x54, 0xc7, 0xb6, 0xff, 0x77 }, + { 0x55, 0x33, 0x11, 0x62, 0x05 }, + { 0x56, 0x32, 0xe5, 0xd8, 0x93 }, + { 0x57, 0xc6, 0x42, 0x45, 0xe1 }, + { 0x58, 0xc3, 0x41, 0x2d, 0x15 }, + { 0x59, 0x37, 0xe6, 0xb0, 0x67 }, + { 0x5a, 0x36, 0x12, 0x0a, 0xf1 }, + { 0x5b, 0xc2, 0xb5, 0x97, 0x83 }, + { 0x5c, 0x34, 0xe7, 0x63, 0xc0 }, + { 0x5d, 0xc0, 0x40, 0xfe, 0xb2 }, + { 0x5e, 0xc1, 0xb4, 0x44, 0x24 }, + { 0x5f, 0x35, 0x13, 0xd9, 0x56 }, + { 0x60, 0x20, 0xeb, 0xde, 0x37 }, + { 0x61, 0xd4, 0x4c, 0x43, 0x45 }, + { 0x62, 0xd5, 0xb8, 0xf9, 0xd3 }, + { 0x63, 0x21, 0x1f, 0x64, 0xa1 }, + { 0x64, 0xd7, 0x4d, 0x90, 0xe2 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{ 0x9d, 0x41, 0xc2, 0x16, 0x1d }, + { 0xf1, 0x78, 0xa2, 0x66, 0x55 }, + { 0xe8, 0xd7, 0x9f, 0x2b, 0xb0 }, + { 0x84, 0xee, 0xff, 0x5b, 0xf8 }, + { 0x30, 0xa5, 0x5f, 0xcb, 0x20 }, + { 0x5c, 0x9c, 0x3f, 0xbb, 0x68 }, + { 0x8c, 0x51, 0x6b, 0x02, 0x03 }, + { 0xe0, 0x68, 0x0b, 0x72, 0x4b }, + { 0x54, 0x23, 0xab, 0xe2, 0x93 }, + { 0x38, 0x1a, 0xcb, 0x92, 0xdb }, + { 0x21, 0xb5, 0xf6, 0xdf, 0x3e }, + { 0x4d, 0x8c, 0x96, 0xaf, 0x76 }, + { 0xf9, 0xc7, 0x36, 0x3f, 0xae }, + { 0x95, 0xfe, 0x56, 0x4f, 0xe6 }, + { 0xcb, 0x84, 0x4c, 0xa5, 0x79 }, + { 0xa7, 0xbd, 0x2c, 0xd5, 0x31 }, + { 0x13, 0xf6, 0x8c, 0x45, 0xe9 }, + { 0x7f, 0xcf, 0xec, 0x35, 0xa1 }, + { 0x66, 0x60, 0xd1, 0x78, 0x44 }, + { 0x0a, 0x59, 0xb1, 0x08, 0x0c }, + { 0xbe, 0x12, 0x11, 0x98, 0xd4 }, + { 0xd2, 0x2b, 0x71, 0xe8, 0x9c }, + { 0x03, 0x95, 0xb9, 0xf7, 0x02 }, + { 0x6f, 0xac, 0xd9, 0x87, 0x4a }, + { 0xdb, 0xe7, 0x79, 0x17, 0x92 }, + { 0xb7, 0xde, 0x19, 0x67, 0xda }, + { 0xae, 0x71, 0x24, 0x2a, 0x3f }, + { 0xc2, 0x48, 0x44, 0x5a, 0x77 }, + { 0x76, 0x03, 0xe4, 0xca, 0xaf }, + { 0x1a, 0x3a, 0x84, 0xba, 0xe7 }, + { 0x44, 0x40, 0x9e, 0x50, 0x78 }, + { 0x28, 0x79, 0xfe, 0x20, 0x30 }, + { 0x9c, 0x32, 0x5e, 0xb0, 0xe8 }, + { 0xf0, 0x0b, 0x3e, 0xc0, 0xa0 }, + { 0xe9, 0xa4, 0x03, 0x8d, 0x45 }, + { 0x85, 0x9d, 0x63, 0xfd, 0x0d }, + { 0x31, 0xd6, 0xc3, 0x6d, 0xd5 }, + { 0x5d, 0xef, 0xa3, 0x1d, 0x9d }, + { 0x8d, 0x22, 0xf7, 0xa4, 0xf6 }, + { 0xe1, 0x1b, 0x97, 0xd4, 0xbe }, + { 0x55, 0x50, 0x37, 0x44, 0x66 }, + { 0x39, 0x69, 0x57, 0x34, 0x2e }, + { 0x20, 0xc6, 0x6a, 0x79, 0xcb }, + { 0x4c, 0xff, 0x0a, 0x09, 0x83 }, + { 0xf8, 0xb4, 0xaa, 0x99, 0x5b }, + { 0x94, 0x8d, 0xca, 0xe9, 0x13 }, + { 0xca, 0xf7, 0xd0, 0x03, 0x8c }, + { 0xa6, 0xce, 0xb0, 0x73, 0xc4 }, + { 0x12, 0x85, 0x10, 0xe3, 0x1c }, + { 0x7e, 0xbc, 0x70, 0x93, 0x54 }, + { 0x67, 0x13, 0x4d, 0xde, 0xb1 }, + { 0x0b, 0x2a, 0x2d, 0xae, 0xf9 }, + { 0xbf, 0x61, 0x8d, 0x3e, 0x21 }, + { 0xd3, 0x58, 0xed, 0x4e, 0x69 }, + { 0x04, 0xd1, 0x4a, 0xa2, 0xf3 }, + { 0x68, 0xe8, 0x2a, 0xd2, 0xbb }, + { 0xdc, 0xa3, 0x8a, 0x42, 0x63 }, + { 0xb0, 0x9a, 0xea, 0x32, 0x2b }, + { 0xa9, 0x35, 0xd7, 0x7f, 0xce }, + { 0xc5, 0x0c, 0xb7, 0x0f, 0x86 }, + { 0x71, 0x47, 0x17, 0x9f, 0x5e }, + { 0x1d, 0x7e, 0x77, 0xef, 0x16 }, + { 0x43, 0x04, 0x6d, 0x05, 0x89 }, + { 0x2f, 0x3d, 0x0d, 0x75, 0xc1 }, + { 0x9b, 0x76, 0xad, 0xe5, 0x19 }, + { 0xf7, 0x4f, 0xcd, 0x95, 0x51 }, + { 0xee, 0xe0, 0xf0, 0xd8, 0xb4 }, + { 0x82, 0xd9, 0x90, 0xa8, 0xfc }, + { 0x36, 0x92, 0x30, 0x38, 0x24 }, + { 0x5a, 0xab, 0x50, 0x48, 0x6c }, + { 0x8a, 0x66, 0x04, 0xf1, 0x07 }, + { 0xe6, 0x5f, 0x64, 0x81, 0x4f }, + { 0x52, 0x14, 0xc4, 0x11, 0x97 }, + { 0x3e, 0x2d, 0xa4, 0x61, 0xdf }, + { 0x27, 0x82, 0x99, 0x2c, 0x3a }, + { 0x4b, 0xbb, 0xf9, 0x5c, 0x72 }, + { 0xff, 0xf0, 0x59, 0xcc, 0xaa }, + { 0x93, 0xc9, 0x39, 0xbc, 0xe2 }, + { 0xcd, 0xb3, 0x23, 0x56, 0x7d }, + { 0xa1, 0x8a, 0x43, 0x26, 0x35 }, + { 0x15, 0xc1, 0xe3, 0xb6, 0xed }, + { 0x79, 0xf8, 0x83, 0xc6, 0xa5 }, + { 0x60, 0x57, 0xbe, 0x8b, 0x40 }, + { 0x0c, 0x6e, 0xde, 0xfb, 0x08 }, + { 0xb8, 0x25, 0x7e, 0x6b, 0xd0 }, + { 0xd4, 0x1c, 0x1e, 0x1b, 0x98 }, + { 0x05, 0xa2, 0xd6, 0x04, 0x06 }, + { 0x69, 0x9b, 0xb6, 0x74, 0x4e }, + { 0xdd, 0xd0, 0x16, 0xe4, 0x96 }, + { 0xb1, 0xe9, 0x76, 0x94, 0xde }, + { 0xa8, 0x46, 0x4b, 0xd9, 0x3b }, + { 0xc4, 0x7f, 0x2b, 0xa9, 0x73 }, + { 0x70, 0x34, 0x8b, 0x39, 0xab }, + { 0x1c, 0x0d, 0xeb, 0x49, 0xe3 }, + { 0x42, 0x77, 0xf1, 0xa3, 0x7c }, + { 0x2e, 0x4e, 0x91, 0xd3, 0x34 }, + { 0x9a, 0x05, 0x31, 0x43, 0xec }, + { 0xf6, 0x3c, 0x51, 0x33, 0xa4 }, + { 0xef, 0x93, 0x6c, 0x7e, 0x41 }, + { 0x83, 0xaa, 0x0c, 0x0e, 0x09 }, + { 0x37, 0xe1, 0xac, 0x9e, 0xd1 }, + { 0x5b, 0xd8, 0xcc, 0xee, 0x99 }, + { 0x8b, 0x15, 0x98, 0x57, 0xf2 }, + { 0xe7, 0x2c, 0xf8, 0x27, 0xba }, + { 0x53, 0x67, 0x58, 0xb7, 0x62 }, + { 0x3f, 0x5e, 0x38, 0xc7, 0x2a }, + { 0x26, 0xf1, 0x05, 0x8a, 0xcf }, + { 0x4a, 0xc8, 0x65, 0xfa, 0x87 }, + { 0xfe, 0x83, 0xc5, 0x6a, 0x5f }, + { 0x92, 0xba, 0xa5, 0x1a, 0x17 }, + { 0xcc, 0xc0, 0xbf, 0xf0, 0x88 }, + { 0xa0, 0xf9, 0xdf, 0x80, 0xc0 }, + { 0x14, 0xb2, 0x7f, 0x10, 0x18 }, + { 0x78, 0x8b, 0x1f, 0x60, 0x50 }, + { 0x61, 0x24, 0x22, 0x2d, 0xb5 }, + { 0x0d, 0x1d, 0x42, 0x5d, 0xfd }, + { 0xb9, 0x56, 0xe2, 0xcd, 0x25 }, + { 0xd5, 0x6f, 0x82, 0xbd, 0x6d }, + { 0x06, 0x37, 0x6f, 0xf3, 0x04 }, + { 0x6a, 0x0e, 0x0f, 0x83, 0x4c }, + { 0xde, 0x45, 0xaf, 0x13, 0x94 }, + { 0xb2, 0x7c, 0xcf, 0x63, 0xdc }, + { 0xab, 0xd3, 0xf2, 0x2e, 0x39 }, + { 0xc7, 0xea, 0x92, 0x5e, 0x71 }, + { 0x73, 0xa1, 0x32, 0xce, 0xa9 }, + { 0x1f, 0x98, 0x52, 0xbe, 0xe1 }, + { 0x41, 0xe2, 0x48, 0x54, 0x7e }, + { 0x2d, 0xdb, 0x28, 0x24, 0x36 }, + { 0x99, 0x90, 0x88, 0xb4, 0xee }, + { 0xf5, 0xa9, 0xe8, 0xc4, 0xa6 }, + { 0xec, 0x06, 0xd5, 0x89, 0x43 }, + { 0x80, 0x3f, 0xb5, 0xf9, 0x0b }, + { 0x34, 0x74, 0x15, 0x69, 0xd3 }, + { 0x58, 0x4d, 0x75, 0x19, 0x9b }, + { 0x88, 0x80, 0x21, 0xa0, 0xf0 }, + { 0xe4, 0xb9, 0x41, 0xd0, 0xb8 }, + { 0x50, 0xf2, 0xe1, 0x40, 0x60 }, + { 0x3c, 0xcb, 0x81, 0x30, 0x28 }, + { 0x25, 0x64, 0xbc, 0x7d, 0xcd }, + { 0x49, 0x5d, 0xdc, 0x0d, 0x85 }, + { 0xfd, 0x16, 0x7c, 0x9d, 0x5d }, + { 0x91, 0x2f, 0x1c, 0xed, 0x15 }, + { 0xcf, 0x55, 0x06, 0x07, 0x8a }, + { 0xa3, 0x6c, 0x66, 0x77, 0xc2 }, + { 0x17, 0x27, 0xc6, 0xe7, 0x1a }, + { 0x7b, 0x1e, 0xa6, 0x97, 0x52 }, + { 0x62, 0xb1, 0x9b, 0xda, 0xb7 }, + { 0x0e, 0x88, 0xfb, 0xaa, 0xff }, + { 0xba, 0xc3, 0x5b, 0x3a, 0x27 }, + { 0xd6, 0xfa, 0x3b, 0x4a, 0x6f }, + { 0x07, 0x44, 0xf3, 0x55, 0xf1 }, + { 0x6b, 0x7d, 0x93, 0x25, 0xb9 }, + { 0xdf, 0x36, 0x33, 0xb5, 0x61 }, + { 0xb3, 0x0f, 0x53, 0xc5, 0x29 }, + { 0xaa, 0xa0, 0x6e, 0x88, 0xcc }, + { 0xc6, 0x99, 0x0e, 0xf8, 0x84 }, + { 0x72, 0xd2, 0xae, 0x68, 0x5c }, + { 0x1e, 0xeb, 0xce, 0x18, 0x14 }, + { 0x40, 0x91, 0xd4, 0xf2, 0x8b }, + { 0x2c, 0xa8, 0xb4, 0x82, 0xc3 }, + { 0x98, 0xe3, 0x14, 0x12, 0x1b }, + { 0xf4, 0xda, 0x74, 0x62, 0x53 }, + { 0xed, 0x75, 0x49, 0x2f, 0xb6 }, + { 0x81, 0x4c, 0x29, 0x5f, 0xfe }, + { 0x35, 0x07, 0x89, 0xcf, 0x26 }, + { 0x59, 0x3e, 0xe9, 0xbf, 0x6e }, + { 0x89, 0xf3, 0xbd, 0x06, 0x05 }, + { 0xe5, 0xca, 0xdd, 0x76, 0x4d }, + { 0x51, 0x81, 0x7d, 0xe6, 0x95 }, + { 0x3d, 0xb8, 0x1d, 0x96, 0xdd }, + { 0x24, 0x17, 0x20, 0xdb, 0x38 }, + { 0x48, 0x2e, 0x40, 0xab, 0x70 }, + { 0xfc, 0x65, 0xe0, 0x3b, 0xa8 }, + { 0x90, 0x5c, 0x80, 0x4b, 0xe0 }, + { 0xce, 0x26, 0x9a, 0xa1, 0x7f }, + { 0xa2, 0x1f, 0xfa, 0xd1, 0x37 }, + { 0x16, 0x54, 0x5a, 0x41, 0xef }, + { 0x7a, 0x6d, 0x3a, 0x31, 0xa7 }, + { 0x63, 0xc2, 0x07, 0x7c, 0x42 }, + { 0x0f, 0xfb, 0x67, 0x0c, 0x0a }, + { 0xbb, 0xb0, 0xc7, 0x9c, 0xd2 }, + { 0xd7, 0x89, 0xa7, 0xec, 0x9a }, + }, +}; + +#if defined(__i386__) || defined(__x86_64__) +/** + * PSHUFB tables for the Extended Cauchy matrix. + * + * Indexes are [DISK][DATA][PARITY - 2]. + * Where DISK is from 0 to 250, DATA from 0 to 255, PARITY from 2 to 5. + */ +const unsigned char __attribute__((aligned(256))) gfcauchy_pshufb[251][4][2][16] = +{ + { + { + { 0x00, 0xf4, 0xf5, 0x01, 0xf7, 0x03, 0x02, 0xf6, 0xf3, 0x07, 0x06, 0xf2, 0x04, 0xf0, 0xf1, 0x05 }, + { 0x00, 0xfb, 0xeb, 0x10, 0xcb, 0x30, 0x20, 0xdb, 0x8b, 0x70, 0x60, 0x9b, 0x40, 0xbb, 0xab, 0x50 }, + }, + { + { 0x00, 0xa7, 0x53, 0xf4, 0xa6, 0x01, 0xf5, 0x52, 0x51, 0xf6, 0x02, 0xa5, 0xf7, 0x50, 0xa4, 0x03 }, + { 0x00, 0xa2, 0x59, 0xfb, 0xb2, 0x10, 0xeb, 0x49, 0x79, 0xdb, 0x20, 0x82, 0xcb, 0x69, 0x92, 0x30 }, + }, + { + { 0x00, 0x9d, 0x27, 0xba, 0x4e, 0xd3, 0x69, 0xf4, 0x9c, 0x01, 0xbb, 0x26, 0xd2, 0x4f, 0xf5, 0x68 }, + { 0x00, 0x25, 0x4a, 0x6f, 0x94, 0xb1, 0xde, 0xfb, 0x35, 0x10, 0x7f, 0x5a, 0xa1, 0x84, 0xeb, 0xce }, + }, + { + { 0x00, 0x72, 0xe4, 0x96, 0xd5, 0xa7, 0x31, 0x43, 0xb7, 0xc5, 0x53, 0x21, 0x62, 0x10, 0x86, 0xf4 }, + { 0x00, 0x73, 0xe6, 0x95, 0xd1, 0xa2, 0x37, 0x44, 0xbf, 0xcc, 0x59, 0x2a, 0x6e, 0x1d, 0x88, 0xfb }, + }, + }, + { + { + { 0x00, 0x53, 0xa6, 0xf5, 0x51, 0x02, 0xf7, 0xa4, 0xa2, 0xf1, 0x04, 0x57, 0xf3, 0xa0, 0x55, 0x06 }, + { 0x00, 0x59, 0xb2, 0xeb, 0x79, 0x20, 0xcb, 0x92, 0xf2, 0xab, 0x40, 0x19, 0x8b, 0xd2, 0x39, 0x60 }, + }, + { + { 0x00, 0x27, 0x4e, 0x69, 0x9c, 0xbb, 0xd2, 0xf5, 0x25, 0x02, 0x6b, 0x4c, 0xb9, 0x9e, 0xf7, 0xd0 }, + { 0x00, 0x4a, 0x94, 0xde, 0x35, 0x7f, 0xa1, 0xeb, 0x6a, 0x20, 0xfe, 0xb4, 0x5f, 0x15, 0xcb, 0x81 }, + }, + { + { 0x00, 0xe4, 0xd5, 0x31, 0xb7, 0x53, 0x62, 0x86, 0x73, 0x97, 0xa6, 0x42, 0xc4, 0x20, 0x11, 0xf5 }, + { 0x00, 0xe6, 0xd1, 0x37, 0xbf, 0x59, 0x6e, 0x88, 0x63, 0x85, 0xb2, 0x54, 0xdc, 0x3a, 0x0d, 0xeb }, + }, + { + { 0x00, 0xc7, 0x93, 0x54, 0x3b, 0xfc, 0xa8, 0x6f, 0x76, 0xb1, 0xe5, 0x22, 0x4d, 0x8a, 0xde, 0x19 }, + { 0x00, 0xec, 0xc5, 0x29, 0x97, 0x7b, 0x52, 0xbe, 0x33, 0xdf, 0xf6, 0x1a, 0xa4, 0x48, 0x61, 0x8d }, + }, + }, + { + { + { 0x00, 0x4e, 0x9c, 0xd2, 0x25, 0x6b, 0xb9, 0xf7, 0x4a, 0x04, 0xd6, 0x98, 0x6f, 0x21, 0xf3, 0xbd }, + { 0x00, 0x94, 0x35, 0xa1, 0x6a, 0xfe, 0x5f, 0xcb, 0xd4, 0x40, 0xe1, 0x75, 0xbe, 0x2a, 0x8b, 0x1f }, + }, + { + { 0x00, 0xd5, 0xb7, 0x62, 0x73, 0xa6, 0xc4, 0x11, 0xe6, 0x33, 0x51, 0x84, 0x95, 0x40, 0x22, 0xf7 }, + { 0x00, 0xd1, 0xbf, 0x6e, 0x63, 0xb2, 0xdc, 0x0d, 0xc6, 0x17, 0x79, 0xa8, 0xa5, 0x74, 0x1a, 0xcb }, + }, + { + { 0x00, 0x93, 0x3b, 0xa8, 0x76, 0xe5, 0x4d, 0xde, 0xec, 0x7f, 0xd7, 0x44, 0x9a, 0x09, 0xa1, 0x32 }, + { 0x00, 0xc5, 0x97, 0x52, 0x33, 0xf6, 0xa4, 0x61, 0x66, 0xa3, 0xf1, 0x34, 0x55, 0x90, 0xc2, 0x07 }, + }, + { + { 0x00, 0x61, 0xc2, 0xa3, 0x99, 0xf8, 0x5b, 0x3a, 0x2f, 0x4e, 0xed, 0x8c, 0xb6, 0xd7, 0x74, 0x15 }, + { 0x00, 0x5e, 0xbc, 0xe2, 0x65, 0x3b, 0xd9, 0x87, 0xca, 0x94, 0x76, 0x28, 0xaf, 0xf1, 0x13, 0x4d }, + }, + }, + { + { + { 0x00, 0xb7, 0x73, 0xc4, 0xe6, 0x51, 0x95, 0x22, 0xd1, 0x66, 0xa2, 0x15, 0x37, 0x80, 0x44, 0xf3 }, + { 0x00, 0xbf, 0x63, 0xdc, 0xc6, 0x79, 0xa5, 0x1a, 0x91, 0x2e, 0xf2, 0x4d, 0x57, 0xe8, 0x34, 0x8b }, + }, + { + { 0x00, 0x3b, 0x76, 0x4d, 0xec, 0xd7, 0x9a, 0xa1, 0xc5, 0xfe, 0xb3, 0x88, 0x29, 0x12, 0x5f, 0x64 }, + { 0x00, 0x97, 0x33, 0xa4, 0x66, 0xf1, 0x55, 0xc2, 0xcc, 0x5b, 0xff, 0x68, 0xaa, 0x3d, 0x99, 0x0e }, + }, + { + { 0x00, 0xc2, 0x99, 0x5b, 0x2f, 0xed, 0xb6, 0x74, 0x5e, 0x9c, 0xc7, 0x05, 0x71, 0xb3, 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