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snapraid/raid.c
Andrea Mazzoleni 823bc8a8c0 Adds SSSE3 and AVX parity computation.
2013-10-06 16:06:17 +02:00

3005 lines
77 KiB
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/*
* Copyright (C) 2011 Andrea Mazzoleni
*
* 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. If not, see <http://www.gnu.org/licenses/>.
*/
/*
* The RAID5/RAID6 support was originally derived by the libraid6 library
* by H. Peter Anvin released with license "GPL2 or any later version"
* used by the Linux Kernel 2.6.38.
*
* This support was later completely rewritten (many times), but the
* H. Peter Anvin's Copyright may still apply.
*
* The RAIDTP/RAIDQP support is original work implemented from scratch.
* For some notes about the method used, see the "recovering" section
* in this file.
*/
#include "portable.h"
#include "raid.h"
#include "cpu.h"
#include "tables.h"
/****************************************************************************/
/* specialized parity generation */
/**
* Dereference as uint32_t
*/
#define v_32(p) (*(uint32_t*)&(p))
/**
* Dereference as uint64_t
*/
#define v_64(p) (*(uint64_t*)&(p))
/*
* RAID5 32bit C implementation
*/
void raid5_int32(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
int d, l;
unsigned o;
uint32_t p0;
uint32_t p1;
l = data - 1;
p = vbuf[data];
for(o=0;o<size;o+=8) {
p0 = v_32(vbuf[l][o]);
p1 = v_32(vbuf[l][o+4]);
for(d=l-1;d>=0;--d) {
p0 ^= v_32(vbuf[d][o]);
p1 ^= v_32(vbuf[d][o+4]);
}
v_32(p[o]) = p0;
v_32(p[o+4]) = p1;
}
}
/*
* RAID5 64bit C implementation
*/
void raid5_int64(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
int d, l;
unsigned o;
uint64_t p0;
uint64_t p1;
l = data - 1;
p = vbuf[data];
for(o=0;o<size;o+=16) {
p0 = v_64(vbuf[l][o]);
p1 = v_64(vbuf[l][o+8]);
for(d=l-1;d>=0;--d) {
p0 ^= v_64(vbuf[d][o]);
p1 ^= v_64(vbuf[d][o+8]);
}
v_64(p[o]) = p0;
v_64(p[o+8]) = p1;
}
}
#if defined(__i386__) || defined(__x86_64__)
/*
* RAID5 MMX implementation
*/
void raid5_mmx(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
for(o=0;o<size;o+=32) {
asm volatile("movq %0,%%mm0" : : "m" (vbuf[l][o]));
asm volatile("movq %0,%%mm1" : : "m" (vbuf[l][o+8]));
asm volatile("movq %0,%%mm2" : : "m" (vbuf[l][o+16]));
asm volatile("movq %0,%%mm3" : : "m" (vbuf[l][o+24]));
for(d=l-1;d>=0;--d) {
asm volatile("movq %0,%%mm4" : : "m" (vbuf[d][o]));
asm volatile("movq %0,%%mm5" : : "m" (vbuf[d][o+8]));
asm volatile("movq %0,%%mm6" : : "m" (vbuf[d][o+16]));
asm volatile("movq %0,%%mm7" : : "m" (vbuf[d][o+24]));
asm volatile("pxor %mm4,%mm0");
asm volatile("pxor %mm5,%mm1");
asm volatile("pxor %mm6,%mm2");
asm volatile("pxor %mm7,%mm3");
}
asm volatile("movq %%mm0,%0" : "=m" (p[o]));
asm volatile("movq %%mm1,%0" : "=m" (p[o+8]));
asm volatile("movq %%mm2,%0" : "=m" (p[o+16]));
asm volatile("movq %%mm3,%0" : "=m" (p[o+24]));
}
asm volatile("emms" : : : "memory");
}
/*
* RAID5 SSE2 implementation
*/
void raid5_sse2(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
for(o=0;o<size;o+=64) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %0,%%xmm1" : : "m" (vbuf[l][o+16]));
asm volatile("movdqa %0,%%xmm2" : : "m" (vbuf[l][o+32]));
asm volatile("movdqa %0,%%xmm3" : : "m" (vbuf[l][o+48]));
for(d=l-1;d>=0;--d) {
asm volatile("movdqa %0,%%xmm4" : : "m" (vbuf[d][o]));
asm volatile("movdqa %0,%%xmm5" : : "m" (vbuf[d][o+16]));
asm volatile("movdqa %0,%%xmm6" : : "m" (vbuf[d][o+32]));
asm volatile("movdqa %0,%%xmm7" : : "m" (vbuf[d][o+48]));
asm volatile("pxor %xmm4,%xmm0");
asm volatile("pxor %xmm5,%xmm1");
asm volatile("pxor %xmm6,%xmm2");
asm volatile("pxor %xmm7,%xmm3");
}
asm volatile("movntdq %%xmm0,%0" : "=m" (p[o]));
asm volatile("movntdq %%xmm1,%0" : "=m" (p[o+16]));
asm volatile("movntdq %%xmm2,%0" : "=m" (p[o+32]));
asm volatile("movntdq %%xmm3,%0" : "=m" (p[o+48]));
}
asm volatile("sfence" : : : "memory");
}
#endif
#if defined(__x86_64__)
/*
* RAID5 SSE2 implementation
* Note that it uses 16 registers, meaning that x64 is required.
*/
void raid5_sse2ext(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
for(o=0;o<size;o+=128) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %0,%%xmm1" : : "m" (vbuf[l][o+16]));
asm volatile("movdqa %0,%%xmm2" : : "m" (vbuf[l][o+32]));
asm volatile("movdqa %0,%%xmm3" : : "m" (vbuf[l][o+48]));
asm volatile("movdqa %0,%%xmm4" : : "m" (vbuf[l][o+64]));
asm volatile("movdqa %0,%%xmm5" : : "m" (vbuf[l][o+80]));
asm volatile("movdqa %0,%%xmm6" : : "m" (vbuf[l][o+96]));
asm volatile("movdqa %0,%%xmm7" : : "m" (vbuf[l][o+112]));
for(d=l-1;d>=0;--d) {
asm volatile("movdqa %0,%%xmm8" : : "m" (vbuf[d][o]));
asm volatile("movdqa %0,%%xmm9" : : "m" (vbuf[d][o+16]));
asm volatile("movdqa %0,%%xmm10" : : "m" (vbuf[d][o+32]));
asm volatile("movdqa %0,%%xmm11" : : "m" (vbuf[d][o+48]));
asm volatile("movdqa %0,%%xmm12" : : "m" (vbuf[d][o+64]));
asm volatile("movdqa %0,%%xmm13" : : "m" (vbuf[d][o+80]));
asm volatile("movdqa %0,%%xmm14" : : "m" (vbuf[d][o+96]));
asm volatile("movdqa %0,%%xmm15" : : "m" (vbuf[d][o+112]));
asm volatile("pxor %xmm8,%xmm0");
asm volatile("pxor %xmm9,%xmm1");
asm volatile("pxor %xmm10,%xmm2");
asm volatile("pxor %xmm11,%xmm3");
asm volatile("pxor %xmm12,%xmm4");
asm volatile("pxor %xmm13,%xmm5");
asm volatile("pxor %xmm14,%xmm6");
asm volatile("pxor %xmm15,%xmm7");
}
asm volatile("movntdq %%xmm0,%0" : "=m" (p[o]));
asm volatile("movntdq %%xmm1,%0" : "=m" (p[o+16]));
asm volatile("movntdq %%xmm2,%0" : "=m" (p[o+32]));
asm volatile("movntdq %%xmm3,%0" : "=m" (p[o+48]));
asm volatile("movntdq %%xmm4,%0" : "=m" (p[o+64]));
asm volatile("movntdq %%xmm5,%0" : "=m" (p[o+80]));
asm volatile("movntdq %%xmm6,%0" : "=m" (p[o+96]));
asm volatile("movntdq %%xmm7,%0" : "=m" (p[o+112]));
}
asm volatile("sfence" : : : "memory");
}
#endif
/**
* Multiply each byte of a uint32 by 2 in the GF(2^8).
*/
__attribute__((always_inline)) static inline uint32_t x2_32(uint32_t v)
{
uint32_t mask = v & 0x80808080U;
mask = (mask << 1) - (mask >> 7);
v = (v << 1) & 0xfefefefeU;
v ^= mask & 0x1d1d1d1dU;
return v;
}
/**
* Multiply each byte of a uint64 by 2 in the GF(2^8).
*/
__attribute__((always_inline)) static inline uint64_t x2_64(uint64_t v)
{
uint64_t mask = v & 0x8080808080808080ULL;
mask = (mask << 1) - (mask >> 7);
v = (v << 1) & 0xfefefefefefefefeULL;
v ^= mask & 0x1d1d1d1d1d1d1d1dULL;
return v;
}
/*
* RAID6 32bit C implementation
*/
void raid6_int32(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
int d, l;
unsigned o;
uint32_t d0, q0, p0;
uint32_t d1, q1, p1;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
for(o=0;o<size;o+=8) {
q0 = p0 = v_32(vbuf[l][o]);
q1 = p1 = v_32(vbuf[l][o+4]);
for(d=l-1;d>=0;--d) {
d0 = v_32(vbuf[d][o]);
d1 = v_32(vbuf[d][o+4]);
p0 ^= d0;
p1 ^= d1;
q0 = x2_32(q0);
q1 = x2_32(q1);
q0 ^= d0;
q1 ^= d1;
}
v_32(p[o]) = p0;
v_32(p[o+4]) = p1;
v_32(q[o]) = q0;
v_32(q[o+4]) = q1;
}
}
/*
* RAID6 64bit C implementation
*/
void raid6_int64(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
int d, l;
unsigned o;
uint64_t d0, q0, p0;
uint64_t d1, q1, p1;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
for(o=0;o<size;o+=16) {
q0 = p0 = v_64(vbuf[l][o]);
q1 = p1 = v_64(vbuf[l][o+8]);
for(d=l-1;d>=0;--d) {
d0 = v_64(vbuf[d][o]);
d1 = v_64(vbuf[d][o+8]);
p0 ^= d0;
p1 ^= d1;
q0 = x2_64(q0);
q1 = x2_64(q1);
q0 ^= d0;
q1 ^= d1;
}
v_64(p[o]) = p0;
v_64(p[o+8]) = p1;
v_64(q[o]) = q0;
v_64(q[o+8]) = q1;
}
}
#if defined(__i386__) || defined(__x86_64__)
static const struct raid_8_const {
unsigned char poly[8];
} raid_8_const __attribute__((aligned(8))) = {
GFPOLY8
};
/*
* RAID6 MMX implementation
*/
void raid6_mmx(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
asm volatile("movq %0,%%mm7" : : "m" (raid_8_const.poly[0]));
for(o=0;o<size;o+=16) {
asm volatile("movq %0,%%mm0" : : "m" (vbuf[l][o]));
asm volatile("movq %0,%%mm1" : : "m" (vbuf[l][o+8]));
asm volatile("movq %mm0,%mm2");
asm volatile("movq %mm1,%mm3");
for(d=l-1;d>=0;--d) {
asm volatile("pxor %mm4,%mm4");
asm volatile("pxor %mm5,%mm5");
asm volatile("pcmpgtb %mm2,%mm4");
asm volatile("pcmpgtb %mm3,%mm5");
asm volatile("paddb %mm2,%mm2");
asm volatile("paddb %mm3,%mm3");
asm volatile("pand %mm7,%mm4");
asm volatile("pand %mm7,%mm5");
asm volatile("pxor %mm4,%mm2");
asm volatile("pxor %mm5,%mm3");
asm volatile("movq %0,%%mm4" : : "m" (vbuf[d][o]));
asm volatile("movq %0,%%mm5" : : "m" (vbuf[d][o+8]));
asm volatile("pxor %mm4,%mm0");
asm volatile("pxor %mm5,%mm1");
asm volatile("pxor %mm4,%mm2");
asm volatile("pxor %mm5,%mm3");
}
asm volatile("movq %%mm0,%0" : "=m" (p[o]));
asm volatile("movq %%mm1,%0" : "=m" (p[o+8]));
asm volatile("movq %%mm2,%0" : "=m" (q[o]));
asm volatile("movq %%mm3,%0" : "=m" (q[o+8]));
}
asm volatile("emms" : : : "memory");
}
static const struct raid_16_const {
unsigned char poly[16];
unsigned char low_nibble[16];
unsigned char x8l[16];
unsigned char x8h[16];
unsigned char x4l[16];
unsigned char x4h[16];
} raid_16_const __attribute__((aligned(16))) = {
GFPOLY16,
GFMASK16,
GFX8L,
GFX8H,
GFX4L,
GFX4H,
};
/*
* RAID6 SSE2 implementation
*/
void raid6_sse2(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0]));
for(o=0;o<size;o+=32) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %0,%%xmm1" : : "m" (vbuf[l][o+16]));
asm volatile("movdqa %xmm0,%xmm2");
asm volatile("movdqa %xmm1,%xmm3");
for(d=l-1;d>=0;--d) {
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pxor %xmm5,%xmm5");
asm volatile("pcmpgtb %xmm2,%xmm4");
asm volatile("pcmpgtb %xmm3,%xmm5");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("paddb %xmm3,%xmm3");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pand %xmm7,%xmm5");
asm volatile("pxor %xmm4,%xmm2");
asm volatile("pxor %xmm5,%xmm3");
asm volatile("movdqa %0,%%xmm4" : : "m" (vbuf[d][o]));
asm volatile("movdqa %0,%%xmm5" : : "m" (vbuf[d][o+16]));
asm volatile("pxor %xmm4,%xmm0");
asm volatile("pxor %xmm5,%xmm1");
asm volatile("pxor %xmm4,%xmm2");
asm volatile("pxor %xmm5,%xmm3");
}
asm volatile("movntdq %%xmm0,%0" : "=m" (p[o]));
asm volatile("movntdq %%xmm1,%0" : "=m" (p[o+16]));
asm volatile("movntdq %%xmm2,%0" : "=m" (q[o]));
asm volatile("movntdq %%xmm3,%0" : "=m" (q[o+16]));
}
asm volatile("sfence" : : : "memory");
}
#endif
#if defined(__x86_64__)
/*
* RAID6 SSE2 implementation
* Note that it uses 16 registers, meaning that x64 is required.
*/
void raid6_sse2ext(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
asm volatile("movdqa %0,%%xmm15" : : "m" (raid_16_const.poly[0]));
for(o=0;o<size;o+=64) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %0,%%xmm1" : : "m" (vbuf[l][o+16]));
asm volatile("movdqa %0,%%xmm2" : : "m" (vbuf[l][o+32]));
asm volatile("movdqa %0,%%xmm3" : : "m" (vbuf[l][o+48]));
asm volatile("movdqa %xmm0,%xmm4");
asm volatile("movdqa %xmm1,%xmm5");
asm volatile("movdqa %xmm2,%xmm6");
asm volatile("movdqa %xmm3,%xmm7");
for(d=l-1;d>=0;--d) {
asm volatile("pxor %xmm8,%xmm8");
asm volatile("pxor %xmm9,%xmm9");
asm volatile("pxor %xmm10,%xmm10");
asm volatile("pxor %xmm11,%xmm11");
asm volatile("pcmpgtb %xmm4,%xmm8");
asm volatile("pcmpgtb %xmm5,%xmm9");
asm volatile("pcmpgtb %xmm6,%xmm10");
asm volatile("pcmpgtb %xmm7,%xmm11");
asm volatile("paddb %xmm4,%xmm4");
asm volatile("paddb %xmm5,%xmm5");
asm volatile("paddb %xmm6,%xmm6");
asm volatile("paddb %xmm7,%xmm7");
asm volatile("pand %xmm15,%xmm8");
asm volatile("pand %xmm15,%xmm9");
asm volatile("pand %xmm15,%xmm10");
asm volatile("pand %xmm15,%xmm11");
asm volatile("pxor %xmm8,%xmm4");
asm volatile("pxor %xmm9,%xmm5");
asm volatile("pxor %xmm10,%xmm6");
asm volatile("pxor %xmm11,%xmm7");
asm volatile("movdqa %0,%%xmm8" : : "m" (vbuf[d][o]));
asm volatile("movdqa %0,%%xmm9" : : "m" (vbuf[d][o+16]));
asm volatile("movdqa %0,%%xmm10" : : "m" (vbuf[d][o+32]));
asm volatile("movdqa %0,%%xmm11" : : "m" (vbuf[d][o+48]));
asm volatile("pxor %xmm8,%xmm0");
asm volatile("pxor %xmm9,%xmm1");
asm volatile("pxor %xmm10,%xmm2");
asm volatile("pxor %xmm11,%xmm3");
asm volatile("pxor %xmm8,%xmm4");
asm volatile("pxor %xmm9,%xmm5");
asm volatile("pxor %xmm10,%xmm6");
asm volatile("pxor %xmm11,%xmm7");
}
asm volatile("movntdq %%xmm0,%0" : "=m" (p[o]));
asm volatile("movntdq %%xmm1,%0" : "=m" (p[o+16]));
asm volatile("movntdq %%xmm2,%0" : "=m" (p[o+32]));
asm volatile("movntdq %%xmm3,%0" : "=m" (p[o+48]));
asm volatile("movntdq %%xmm4,%0" : "=m" (q[o]));
asm volatile("movntdq %%xmm5,%0" : "=m" (q[o+16]));
asm volatile("movntdq %%xmm6,%0" : "=m" (q[o+32]));
asm volatile("movntdq %%xmm7,%0" : "=m" (q[o+48]));
}
asm volatile("sfence" : : : "memory");
}
#endif
/*
* RAIDTP 32bit C implementation
*/
void raidTP_int32(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
int d, l;
unsigned o;
uint32_t d0, r0, q0, p0;
uint32_t d1, r1, q1, p1;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
r = vbuf[data+2];
for(o=0;o<size;o+=8) {
r0 = q0 = p0 = v_32(vbuf[l][o]);
r1 = q1 = p1 = v_32(vbuf[l][o+4]);
for(d=l-1;d>=0;--d) {
d0 = v_32(vbuf[d][o]);
d1 = v_32(vbuf[d][o+4]);
p0 ^= d0;
p1 ^= d1;
q0 = x2_32(q0);
q1 = x2_32(q1);
q0 ^= d0;
q1 ^= d1;
r0 = x2_32(r0);
r1 = x2_32(r1);
r0 = x2_32(r0);
r1 = x2_32(r1);
r0 ^= d0;
r1 ^= d1;
}
v_32(p[o]) = p0;
v_32(p[o+4]) = p1;
v_32(q[o]) = q0;
v_32(q[o+4]) = q1;
v_32(r[o]) = r0;
v_32(r[o+4]) = r1;
}
}
/*
* RAIDTP 64bit C implementation
*/
void raidTP_int64(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
int d, l;
unsigned o;
uint64_t d0, r0, q0, p0;
uint64_t d1, r1, q1, p1;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
r = vbuf[data+2];
for(o=0;o<size;o+=16) {
r0 = q0 = p0 = v_64(vbuf[l][o]);
r1 = q1 = p1 = v_64(vbuf[l][o+8]);
for(d=l-1;d>=0;--d) {
d0 = v_64(vbuf[d][o]);
d1 = v_64(vbuf[d][o+8]);
p0 ^= d0;
p1 ^= d1;
q0 = x2_64(q0);
q1 = x2_64(q1);
q0 ^= d0;
q1 ^= d1;
r0 = x2_64(r0);
r1 = x2_64(r1);
r0 = x2_64(r0);
r1 = x2_64(r1);
r0 ^= d0;
r1 ^= d1;
}
v_64(p[o]) = p0;
v_64(p[o+8]) = p1;
v_64(q[o]) = q0;
v_64(q[o+8]) = q1;
v_64(r[o]) = r0;
v_64(r[o+8]) = r1;
}
}
#if defined(__i386__) || defined(__x86_64__)
/*
* RAIDTP MMX implementation
*/
void raidTP_mmx(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
r = vbuf[data+2];
asm volatile("movq %0,%%mm7" : : "m" (raid_8_const.poly[0]));
for(o=0;o<size;o+=8) {
asm volatile("movq %0,%%mm0" : : "m" (vbuf[l][o]));
asm volatile("movq %mm0,%mm1");
asm volatile("movq %mm0,%mm2");
for(d=l-1;d>=0;--d) {
asm volatile("pxor %mm4,%mm4");
asm volatile("pxor %mm5,%mm5");
asm volatile("pxor %mm6,%mm6");
asm volatile("pcmpgtb %mm1,%mm4");
asm volatile("pcmpgtb %mm2,%mm5");
asm volatile("paddb %mm1,%mm1");
asm volatile("paddb %mm2,%mm2");
asm volatile("pand %mm7,%mm4");
asm volatile("pand %mm7,%mm5");
asm volatile("pxor %mm4,%mm1");
asm volatile("pxor %mm5,%mm2");
asm volatile("pcmpgtb %mm2,%mm6");
asm volatile("paddb %mm2,%mm2");
asm volatile("pand %mm7,%mm6");
asm volatile("pxor %mm6,%mm2");
asm volatile("movq %0,%%mm3" : : "m" (vbuf[d][o]));
asm volatile("pxor %mm3,%mm0");
asm volatile("pxor %mm3,%mm1");
asm volatile("pxor %mm3,%mm2");
}
asm volatile("movq %%mm0,%0" : "=m" (p[o]));
asm volatile("movq %%mm1,%0" : "=m" (q[o]));
asm volatile("movq %%mm2,%0" : "=m" (r[o]));
}
asm volatile("emms" : : : "memory");
}
#endif
#if defined(__i386__) || defined(__x86_64__)
/*
* RAIDTP SSE2 implementation
*/
void raidTP_sse2(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
r = vbuf[data+2];
asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0]));
for(o=0;o<size;o+=16) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %xmm0,%xmm1");
asm volatile("movdqa %xmm0,%xmm2");
for(d=l-1;d>=0;--d) {
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pxor %xmm5,%xmm5");
asm volatile("pxor %xmm6,%xmm6");
asm volatile("pcmpgtb %xmm1,%xmm4");
asm volatile("pcmpgtb %xmm2,%xmm5");
asm volatile("paddb %xmm1,%xmm1");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pand %xmm7,%xmm5");
asm volatile("pxor %xmm4,%xmm1");
asm volatile("pxor %xmm5,%xmm2");
asm volatile("pcmpgtb %xmm2,%xmm6");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("pand %xmm7,%xmm6");
asm volatile("pxor %xmm6,%xmm2");
asm volatile("movdqa %0,%%xmm3" : : "m" (vbuf[d][o]));
asm volatile("pxor %xmm3,%xmm0");
asm volatile("pxor %xmm3,%xmm1");
asm volatile("pxor %xmm3,%xmm2");
}
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("sfence" : : : "memory");
}
#endif
#if defined(__i386__) || defined(__x86_64__)
/*
* RAIDTP SSSE3 implementation
*/
void raidTP_ssse3(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
r = vbuf[data+2];
asm volatile("movdqa %0,%%xmm3" : : "m" (raid_16_const.low_nibble[0]));
asm volatile("movdqa %0,%%xmm5" : : "m" (raid_16_const.x4l[0]));
asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0]));
for(o=0;o<size;o+=16) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %xmm0,%xmm1");
asm volatile("movdqa %xmm0,%xmm2");
for(d=l-1;d>=0;--d) {
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,%%xmm6" : : "m" (raid_16_const.x4h[0]));
asm volatile("movdqa %xmm2,%xmm4");
asm volatile("psraw $4,%xmm2");
asm volatile("pand %xmm3,%xmm4");
asm volatile("pand %xmm3,%xmm2");
asm volatile("pshufb %xmm2,%xmm6");
asm volatile("movdqa %xmm5,%xmm2");
asm volatile("pshufb %xmm4,%xmm2");
asm volatile("pxor %xmm6,%xmm2");
asm volatile("movdqa %0,%%xmm4" : : "m" (vbuf[d][o]));
asm volatile("pxor %xmm4,%xmm0");
asm volatile("pxor %xmm4,%xmm1");
asm volatile("pxor %xmm4,%xmm2");
}
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("sfence" : : : "memory");
}
#endif
#if defined(__x86_64__)
/*
* RAIDTP SSE2 implementation
* Note that it uses 16 registers, meaning that x64 is required.
*/
void raidTP_sse2ext(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
r = vbuf[data+2];
asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0]));
for(o=0;o<size;o+=32) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %0,%%xmm8" : : "m" (vbuf[l][o+16]));
asm volatile("movdqa %xmm0,%xmm1");
asm volatile("movdqa %xmm8,%xmm9");
asm volatile("movdqa %xmm0,%xmm2");
asm volatile("movdqa %xmm8,%xmm10");
for(d=l-1;d>=0;--d) {
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pxor %xmm5,%xmm5");
asm volatile("pxor %xmm6,%xmm6");
asm volatile("pxor %xmm12,%xmm12");
asm volatile("pxor %xmm13,%xmm13");
asm volatile("pxor %xmm14,%xmm14");
asm volatile("pcmpgtb %xmm1,%xmm4");
asm volatile("pcmpgtb %xmm2,%xmm5");
asm volatile("pcmpgtb %xmm9,%xmm12");
asm volatile("pcmpgtb %xmm10,%xmm13");
asm volatile("paddb %xmm1,%xmm1");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("paddb %xmm9,%xmm9");
asm volatile("paddb %xmm10,%xmm10");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pand %xmm7,%xmm5");
asm volatile("pand %xmm7,%xmm12");
asm volatile("pand %xmm7,%xmm13");
asm volatile("pxor %xmm4,%xmm1");
asm volatile("pxor %xmm5,%xmm2");
asm volatile("pxor %xmm12,%xmm9");
asm volatile("pxor %xmm13,%xmm10");
asm volatile("pcmpgtb %xmm2,%xmm6");
asm volatile("pcmpgtb %xmm10,%xmm14");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("paddb %xmm10,%xmm10");
asm volatile("pand %xmm7,%xmm6");
asm volatile("pand %xmm7,%xmm14");
asm volatile("pxor %xmm6,%xmm2");
asm volatile("pxor %xmm14,%xmm10");
asm volatile("movdqa %0,%%xmm3" : : "m" (vbuf[d][o]));
asm volatile("movdqa %0,%%xmm11" : : "m" (vbuf[d][o+16]));
asm volatile("pxor %xmm3,%xmm0");
asm volatile("pxor %xmm3,%xmm1");
asm volatile("pxor %xmm3,%xmm2");
asm volatile("pxor %xmm11,%xmm8");
asm volatile("pxor %xmm11,%xmm9");
asm volatile("pxor %xmm11,%xmm10");
}
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("sfence" : : : "memory");
}
#endif
#if defined(__x86_64__)
/*
* RAIDTP SSSE3 implementation
* Note that it uses 16 registers, meaning that x64 is required.
*/
void raidTP_ssse3ext(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
int d, l;
unsigned o;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
r = vbuf[data+2];
asm volatile("movdqa %0,%%xmm3" : : "m" (raid_16_const.low_nibble[0]));
asm volatile("movdqa %0,%%xmm5" : : "m" (raid_16_const.x4l[0]));
asm volatile("movdqa %0,%%xmm6" : : "m" (raid_16_const.x4h[0]));
asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0]));
for(o=0;o<size;o+=32) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %0,%%xmm8" : : "m" (vbuf[l][o+16]));
asm volatile("movdqa %xmm0,%xmm1");
asm volatile("movdqa %xmm8,%xmm9");
asm volatile("movdqa %xmm0,%xmm2");
asm volatile("movdqa %xmm8,%xmm10");
for(d=l-1;d>=0;--d) {
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 %xmm6,%xmm13");
asm volatile("movdqa %xmm6,%xmm14");
asm volatile("movdqa %xmm2,%xmm4");
asm volatile("movdqa %xmm10,%xmm12");
asm volatile("psraw $4,%xmm2");
asm volatile("psraw $4,%xmm10");
asm volatile("pand %xmm3,%xmm4");
asm volatile("pand %xmm3,%xmm12");
asm volatile("pand %xmm3,%xmm2");
asm volatile("pand %xmm3,%xmm10");
asm volatile("pshufb %xmm2,%xmm13");
asm volatile("pshufb %xmm10,%xmm14");
asm volatile("movdqa %xmm5,%xmm2");
asm volatile("movdqa %xmm5,%xmm10");
asm volatile("pshufb %xmm4,%xmm2");
asm volatile("pshufb %xmm12,%xmm10");
asm volatile("pxor %xmm13,%xmm2");
asm volatile("pxor %xmm14,%xmm10");
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 %xmm4,%xmm2");
asm volatile("pxor %xmm12,%xmm8");
asm volatile("pxor %xmm12,%xmm9");
asm volatile("pxor %xmm12,%xmm10");
}
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("sfence" : : : "memory");
}
#endif
/*
* RAIDQP 32bit C implementation
*/
void raidQP_int32(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
unsigned char* s;
int d, l;
unsigned o;
uint32_t d0, s0, r0, q0, p0;
uint32_t d1, s1, r1, q1, p1;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
r = vbuf[data+2];
s = vbuf[data+3];
for(o=0;o<size;o+=8) {
s0 = r0 = q0 = p0 = v_32(vbuf[l][o]);
s1 = r1 = q1 = p1 = v_32(vbuf[l][o+4]);
for(d=l-1;d>=0;--d) {
d0 = v_32(vbuf[d][o]);
d1 = v_32(vbuf[d][o+4]);
p0 ^= d0;
p1 ^= d1;
q0 = x2_32(q0);
q1 = x2_32(q1);
q0 ^= d0;
q1 ^= d1;
r0 = x2_32(r0);
r1 = x2_32(r1);
r0 = x2_32(r0);
r1 = x2_32(r1);
r0 ^= d0;
r1 ^= d1;
s0 = x2_32(s0);
s1 = x2_32(s1);
s0 = x2_32(s0);
s1 = x2_32(s1);
s0 = x2_32(s0);
s1 = x2_32(s1);
s0 ^= d0;
s1 ^= d1;
}
v_32(p[o]) = p0;
v_32(p[o+4]) = p1;
v_32(q[o]) = q0;
v_32(q[o+4]) = q1;
v_32(r[o]) = r0;
v_32(r[o+4]) = r1;
v_32(s[o]) = s0;
v_32(s[o+4]) = s1;
}
}
/*
* RAIDQP 64bit C implementation
*/
void raidQP_int64(unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
unsigned char* s;
int d, l;
unsigned o;
uint64_t d0, s0, r0, q0, p0;
uint64_t d1, s1, r1, q1, p1;
l = data - 1;
p = vbuf[data];
q = vbuf[data+1];
r = vbuf[data+2];
s = vbuf[data+3];
for(o=0;o<size;o+=16) {
s0 = r0 = q0 = p0 = v_64(vbuf[l][o]);
s1 = r1 = q1 = p1 = v_64(vbuf[l][o+8]);
for(d=l-1;d>=0;--d) {
d0 = v_64(vbuf[d][o]);
d1 = v_64(vbuf[d][o+8]);
p0 ^= d0;
p1 ^= d1;
q0 = x2_64(q0);
q1 = x2_64(q1);
q0 ^= d0;
q1 ^= d1;
r0 = x2_64(r0);
r1 = x2_64(r1);
r0 = x2_64(r0);
r1 = x2_64(r1);
r0 ^= d0;
r1 ^= d1;
s0 = x2_64(s0);
s1 = x2_64(s1);
s0 = x2_64(s0);
s1 = x2_64(s1);
s0 = x2_64(s0);
s1 = x2_64(s1);
s0 ^= d0;
s1 ^= d1;
}
v_64(p[o]) = p0;
v_64(p[o+8]) = p1;
v_64(q[o]) = q0;
v_64(q[o+8]) = q1;
v_64(r[o]) = r0;
v_64(r[o+8]) = r1;
v_64(s[o]) = s0;
v_64(s[o+8]) = s1;
}
}
#if defined(__i386__) || defined(__x86_64__)
/*
* RAIDQP MMX implementation
*/
void raidQP_mmx(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];
asm volatile("movq %0,%%mm7" : : "m" (raid_8_const.poly[0]));
for(o=0;o<size;o+=8) {
asm volatile("movq %0,%%mm0" : : "m" (vbuf[l][o]));
asm volatile("movq %mm0,%mm1");
asm volatile("movq %mm0,%mm2");
asm volatile("movq %mm0,%mm3");
for(d=l-1;d>=0;--d) {
asm volatile("pxor %mm4,%mm4");
asm volatile("pxor %mm5,%mm5");
asm volatile("pcmpgtb %mm1,%mm4");
asm volatile("pcmpgtb %mm3,%mm5");
asm volatile("paddb %mm1,%mm1");
asm volatile("paddb %mm3,%mm3");
asm volatile("pand %mm7,%mm4");
asm volatile("pand %mm7,%mm5");
asm volatile("pxor %mm4,%mm1");
asm volatile("pxor %mm5,%mm3");
asm volatile("pxor %mm4,%mm4");
asm volatile("pxor %mm5,%mm5");
asm volatile("pcmpgtb %mm2,%mm4");
asm volatile("pcmpgtb %mm3,%mm5");
asm volatile("paddb %mm2,%mm2");
asm volatile("paddb %mm3,%mm3");
asm volatile("pand %mm7,%mm4");
asm volatile("pand %mm7,%mm5");
asm volatile("pxor %mm4,%mm2");
asm volatile("pxor %mm5,%mm3");
asm volatile("pxor %mm4,%mm4");
asm volatile("pxor %mm5,%mm5");
asm volatile("pcmpgtb %mm2,%mm4");
asm volatile("pcmpgtb %mm3,%mm5");
asm volatile("paddb %mm2,%mm2");
asm volatile("paddb %mm3,%mm3");
asm volatile("pand %mm7,%mm4");
asm volatile("pand %mm7,%mm5");
asm volatile("pxor %mm4,%mm2");
asm volatile("pxor %mm5,%mm3");
asm volatile("movq %0,%%mm6" : : "m" (vbuf[d][o]));
asm volatile("pxor %mm6,%mm0");
asm volatile("pxor %mm6,%mm1");
asm volatile("pxor %mm6,%mm2");
asm volatile("pxor %mm6,%mm3");
}
asm volatile("movq %%mm0,%0" : "=m" (p[o]));
asm volatile("movq %%mm1,%0" : "=m" (q[o]));
asm volatile("movq %%mm2,%0" : "=m" (r[o]));
asm volatile("movq %%mm3,%0" : "=m" (s[o]));
}
asm volatile("emms" : : : "memory");
}
#endif
#if defined(__i386__) || defined(__x86_64__)
/*
* RAIDQP SSE2 implementation
*/
void raidQP_sse2(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];
asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0]));
for(o=0;o<size;o+=16) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %xmm0,%xmm1");
asm volatile("movdqa %xmm0,%xmm2");
asm volatile("movdqa %xmm0,%xmm3");
for(d=l-1;d>=0;--d) {
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pxor %xmm5,%xmm5");
asm volatile("pcmpgtb %xmm1,%xmm4");
asm volatile("pcmpgtb %xmm3,%xmm5");
asm volatile("paddb %xmm1,%xmm1");
asm volatile("paddb %xmm3,%xmm3");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pand %xmm7,%xmm5");
asm volatile("pxor %xmm4,%xmm1");
asm volatile("pxor %xmm5,%xmm3");
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pxor %xmm5,%xmm5");
asm volatile("pcmpgtb %xmm2,%xmm4");
asm volatile("pcmpgtb %xmm3,%xmm5");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("paddb %xmm3,%xmm3");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pand %xmm7,%xmm5");
asm volatile("pxor %xmm4,%xmm2");
asm volatile("pxor %xmm5,%xmm3");
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pxor %xmm5,%xmm5");
asm volatile("pcmpgtb %xmm2,%xmm4");
asm volatile("pcmpgtb %xmm3,%xmm5");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("paddb %xmm3,%xmm3");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pand %xmm7,%xmm5");
asm volatile("pxor %xmm4,%xmm2");
asm volatile("pxor %xmm5,%xmm3");
asm volatile("movdqa %0,%%xmm4" : : "m" (vbuf[d][o]));
asm volatile("pxor %xmm4,%xmm0");
asm volatile("pxor %xmm4,%xmm1");
asm volatile("pxor %xmm4,%xmm2");
asm volatile("pxor %xmm4,%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(__i386__) || defined(__x86_64__)
/*
* RAIDQP SSSE3 implementation
*/
void raidQP_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];
asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0]));
for(o=0;o<size;o+=16) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %xmm0,%xmm1");
asm volatile("movdqa %xmm0,%xmm2");
asm volatile("movdqa %xmm0,%xmm3");
for(d=l-1;d>=0;--d) {
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pxor %xmm5,%xmm5");
asm volatile("pcmpgtb %xmm1,%xmm4");
asm volatile("pcmpgtb %xmm2,%xmm5");
asm volatile("paddb %xmm1,%xmm1");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pand %xmm7,%xmm5");
asm volatile("pxor %xmm4,%xmm1");
asm volatile("pxor %xmm5,%xmm2");
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pcmpgtb %xmm2,%xmm4");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pxor %xmm4,%xmm2");
asm volatile("movdqa %0,%%xmm5" : : "m" (raid_16_const.x8l[0]));
asm volatile("movdqa %0,%%xmm6" : : "m" (raid_16_const.x8h[0]));
asm volatile("movdqa %xmm3,%xmm4");
asm volatile("psraw $4,%xmm3");
asm volatile("pand %0,%%xmm4" : : "m" (raid_16_const.low_nibble[0]));
asm volatile("pand %0,%%xmm3" : : "m" (raid_16_const.low_nibble[0]));
asm volatile("pshufb %xmm3,%xmm6");
asm volatile("movdqa %xmm5,%xmm3");
asm volatile("pshufb %xmm4,%xmm3");
asm volatile("pxor %xmm6,%xmm3");
asm volatile("movdqa %0,%%xmm4" : : "m" (vbuf[d][o]));
asm volatile("pxor %xmm4,%xmm0");
asm volatile("pxor %xmm4,%xmm1");
asm volatile("pxor %xmm4,%xmm2");
asm volatile("pxor %xmm4,%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__)
/*
* RAIDQP SSE2 implementation
* Note that it uses 16 registers, meaning that x64 is required.
*/
void raidQP_sse2ext(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];
asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0]));
for(o=0;o<size;o+=32) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %0,%%xmm8" : : "m" (vbuf[l][o+16]));
asm volatile("movdqa %xmm0,%xmm1");
asm volatile("movdqa %xmm8,%xmm9");
asm volatile("movdqa %xmm0,%xmm2");
asm volatile("movdqa %xmm8,%xmm10");
asm volatile("movdqa %xmm0,%xmm3");
asm volatile("movdqa %xmm8,%xmm11");
for(d=l-1;d>=0;--d) {
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pxor %xmm5,%xmm5");
asm volatile("pxor %xmm12,%xmm12");
asm volatile("pxor %xmm13,%xmm13");
asm volatile("pcmpgtb %xmm1,%xmm4");
asm volatile("pcmpgtb %xmm3,%xmm5");
asm volatile("pcmpgtb %xmm9,%xmm12");
asm volatile("pcmpgtb %xmm11,%xmm13");
asm volatile("paddb %xmm1,%xmm1");
asm volatile("paddb %xmm3,%xmm3");
asm volatile("paddb %xmm9,%xmm9");
asm volatile("paddb %xmm11,%xmm11");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pand %xmm7,%xmm5");
asm volatile("pand %xmm7,%xmm12");
asm volatile("pand %xmm7,%xmm13");
asm volatile("pxor %xmm4,%xmm1");
asm volatile("pxor %xmm5,%xmm3");
asm volatile("pxor %xmm12,%xmm9");
asm volatile("pxor %xmm13,%xmm11");
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pxor %xmm5,%xmm5");
asm volatile("pxor %xmm12,%xmm12");
asm volatile("pxor %xmm13,%xmm13");
asm volatile("pcmpgtb %xmm2,%xmm4");
asm volatile("pcmpgtb %xmm3,%xmm5");
asm volatile("pcmpgtb %xmm10,%xmm12");
asm volatile("pcmpgtb %xmm11,%xmm13");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("paddb %xmm3,%xmm3");
asm volatile("paddb %xmm10,%xmm10");
asm volatile("paddb %xmm11,%xmm11");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pand %xmm7,%xmm5");
asm volatile("pand %xmm7,%xmm12");
asm volatile("pand %xmm7,%xmm13");
asm volatile("pxor %xmm4,%xmm2");
asm volatile("pxor %xmm5,%xmm3");
asm volatile("pxor %xmm12,%xmm10");
asm volatile("pxor %xmm13,%xmm11");
asm volatile("pxor %xmm4,%xmm4");
asm volatile("pxor %xmm5,%xmm5");
asm volatile("pxor %xmm12,%xmm12");
asm volatile("pxor %xmm13,%xmm13");
asm volatile("pcmpgtb %xmm2,%xmm4");
asm volatile("pcmpgtb %xmm3,%xmm5");
asm volatile("pcmpgtb %xmm10,%xmm12");
asm volatile("pcmpgtb %xmm11,%xmm13");
asm volatile("paddb %xmm2,%xmm2");
asm volatile("paddb %xmm3,%xmm3");
asm volatile("paddb %xmm10,%xmm10");
asm volatile("paddb %xmm11,%xmm11");
asm volatile("pand %xmm7,%xmm4");
asm volatile("pand %xmm7,%xmm5");
asm volatile("pand %xmm7,%xmm12");
asm volatile("pand %xmm7,%xmm13");
asm volatile("pxor %xmm4,%xmm2");
asm volatile("pxor %xmm5,%xmm3");
asm volatile("pxor %xmm12,%xmm10");
asm volatile("pxor %xmm13,%xmm11");
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 %xmm4,%xmm2");
asm volatile("pxor %xmm4,%xmm3");
asm volatile("pxor %xmm12,%xmm8");
asm volatile("pxor %xmm12,%xmm9");
asm volatile("pxor %xmm12,%xmm10");
asm volatile("pxor %xmm12,%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
#if defined(__x86_64__)
/*
* RAIDQP SSSE3 implementation
* Note that it uses 16 registers, meaning that x64 is required.
*/
void raidQP_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];
asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0]));
asm volatile("movdqa %0,%%xmm15" : : "m" (raid_16_const.low_nibble[0]));
for(o=0;o<size;o+=32) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %0,%%xmm8" : : "m" (vbuf[l][o+16]));
asm volatile("movdqa %xmm0,%xmm1");
asm volatile("movdqa %xmm8,%xmm9");
asm volatile("movdqa %xmm0,%xmm2");
asm volatile("movdqa %xmm8,%xmm10");
asm volatile("movdqa %xmm0,%xmm3");
asm volatile("movdqa %xmm8,%xmm11");
for(d=l-1;d>=0;--d) {
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,%%xmm5" : : "m" (raid_16_const.x4l[0]));
asm volatile("movdqa %0,%%xmm6" : : "m" (raid_16_const.x4h[0]));
asm volatile("movdqa %xmm5,%xmm13");
asm volatile("movdqa %xmm6,%xmm14");
asm volatile("movdqa %xmm2,%xmm4");
asm volatile("movdqa %xmm10,%xmm12");
asm volatile("psraw $4,%xmm2");
asm volatile("psraw $4,%xmm10");
asm volatile("pand %xmm15,%xmm4");
asm volatile("pand %xmm15,%xmm12");
asm volatile("pand %xmm15,%xmm2");
asm volatile("pand %xmm15,%xmm10");
asm volatile("pshufb %xmm2,%xmm6");
asm volatile("pshufb %xmm10,%xmm14");
asm volatile("movdqa %xmm5,%xmm2");
asm volatile("movdqa %xmm13,%xmm10");
asm volatile("pshufb %xmm4,%xmm2");
asm volatile("pshufb %xmm12,%xmm10");
asm volatile("pxor %xmm6,%xmm2");
asm volatile("pxor %xmm14,%xmm10");
asm volatile("movdqa %0,%%xmm5" : : "m" (raid_16_const.x8l[0]));
asm volatile("movdqa %0,%%xmm6" : : "m" (raid_16_const.x8h[0]));
asm volatile("movdqa %xmm5,%xmm13");
asm volatile("movdqa %xmm6,%xmm14");
asm volatile("movdqa %xmm3,%xmm4");
asm volatile("movdqa %xmm11,%xmm12");
asm volatile("psraw $4,%xmm3");
asm volatile("psraw $4,%xmm11");
asm volatile("pand %xmm15,%xmm4");
asm volatile("pand %xmm15,%xmm12");
asm volatile("pand %xmm15,%xmm3");
asm volatile("pand %xmm15,%xmm11");
asm volatile("pshufb %xmm3,%xmm6");
asm volatile("pshufb %xmm11,%xmm14");
asm volatile("movdqa %xmm5,%xmm3");
asm volatile("movdqa %xmm13,%xmm11");
asm volatile("pshufb %xmm4,%xmm3");
asm volatile("pshufb %xmm12,%xmm11");
asm volatile("pxor %xmm6,%xmm3");
asm volatile("pxor %xmm14,%xmm11");
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 %xmm4,%xmm2");
asm volatile("pxor %xmm4,%xmm3");
asm volatile("pxor %xmm12,%xmm8");
asm volatile("pxor %xmm12,%xmm9");
asm volatile("pxor %xmm12,%xmm10");
asm volatile("pxor %xmm12,%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");
}
/*
* RAIDQP AVX implementation
* Note that it uses 16 registers, meaning that x64 is required.
*/
void raidQP_avxext(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];
asm volatile("movdqa %0,%%xmm5" : : "m" (raid_16_const.x8l[0]));
asm volatile("movdqa %0,%%xmm6" : : "m" (raid_16_const.x8h[0]));
asm volatile("movdqa %0,%%xmm7" : : "m" (raid_16_const.poly[0]));
asm volatile("movdqa %0,%%xmm13" : : "m" (raid_16_const.x4l[0]));
asm volatile("movdqa %0,%%xmm14" : : "m" (raid_16_const.x4h[0]));
asm volatile("movdqa %0,%%xmm15" : : "m" (raid_16_const.low_nibble[0]));
for(o=0;o<size;o+=32) {
asm volatile("movdqa %0,%%xmm0" : : "m" (vbuf[l][o]));
asm volatile("movdqa %0,%%xmm8" : : "m" (vbuf[l][o+16]));
asm volatile("movdqa %xmm0,%xmm1");
asm volatile("movdqa %xmm8,%xmm9");
asm volatile("movdqa %xmm0,%xmm2");
asm volatile("movdqa %xmm8,%xmm10");
asm volatile("movdqa %xmm0,%xmm3");
asm volatile("movdqa %xmm8,%xmm11");
for(d=l-1;d>=0;--d) {
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 %xmm2,%xmm4");
asm volatile("movdqa %xmm10,%xmm12");
asm volatile("psraw $4,%xmm2");
asm volatile("psraw $4,%xmm10");
asm volatile("pand %xmm15,%xmm4");
asm volatile("pand %xmm15,%xmm12");
asm volatile("pand %xmm15,%xmm2");
asm volatile("pand %xmm15,%xmm10");
asm volatile("vpshufb %xmm2,%xmm14,%xmm2");
asm volatile("vpshufb %xmm10,%xmm14,%xmm10");
asm volatile("vpshufb %xmm4,%xmm13,%xmm4");
asm volatile("vpshufb %xmm12,%xmm13,%xmm12");
asm volatile("pxor %xmm4,%xmm2");
asm volatile("pxor %xmm12,%xmm10");
asm volatile("movdqa %xmm3,%xmm4");
asm volatile("movdqa %xmm11,%xmm12");
asm volatile("psraw $4,%xmm3");
asm volatile("psraw $4,%xmm11");
asm volatile("pand %xmm15,%xmm4");
asm volatile("pand %xmm15,%xmm12");
asm volatile("pand %xmm15,%xmm3");
asm volatile("pand %xmm15,%xmm11");
asm volatile("vpshufb %xmm3,%xmm6,%xmm3");
asm volatile("vpshufb %xmm11,%xmm6,%xmm11");
asm volatile("vpshufb %xmm4,%xmm5,%xmm4");
asm volatile("vpshufb %xmm12,%xmm5,%xmm12");
asm volatile("pxor %xmm4,%xmm3");
asm volatile("pxor %xmm12,%xmm11");
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 %xmm4,%xmm2");
asm volatile("pxor %xmm4,%xmm3");
asm volatile("pxor %xmm12,%xmm8");
asm volatile("pxor %xmm12,%xmm9");
asm volatile("pxor %xmm12,%xmm10");
asm volatile("pxor %xmm12,%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
/****************************************************************************/
/* parity generation */
/* internal forwarder */
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);
void raid_gen(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;
}
}
/****************************************************************************/
/* recovering */
/**
* The data recovering is based on the paper "The mathematics of RAID-6" [1],
* that covers the RAID5 and RAID6 cases.
*
* In such cases we compute the parities in the Galois Field GF(2^8) with
* the primitive polynomial x^8 + x^4 + x^3 + x^2 + 1 (285 decimal),
* using the following equations and starting from a set of n disk Di
* with 0<=i<n:
*
* P = sum(Di) 0<=i<n
* Q = sum(2^i * Di) 0<=i<n
*
* To support RAIDTP (Triple Parity), we use an extension of the same approach,
* also described in the paper "Multiple-parity RAID" [2], with the additional
* parity coefficient "4".
* This method is also the same used by ZFS to implement its RAIDTP support.
*
* P = sum(Di) 0<=i<n
* Q = sum(2^i * Di) 0<=i<n
* R = sum(4^i * Di) 0<=i<n
*
* To support RAIDQP (Quad Parity) we go further using also the parity coefficient "8".
*
* P = sum(Di) 0<=i<n
* Q = sum(2^i * Di) 0<=i<n
* R = sum(4^i * Di) 0<=i<n
* S = sum(8^i * Di) 0<=i<n
*
* Note that for RAIDQP we don't have the guarantee to always have a system of
* independent linear equations, and in some cases the equations are no not solvable.
*
* This is expected because the Vandermonde matrix we use to compute the parity
* has no guarantee to have all its submatrixes not singular [3, Chap 11, Problem 7]
* and this is a requirement to have a working MDS code [3, Chap 11, Theorem 8].
*
* Using the primitive polynomial 285, RAIDQP works for up to 21 data disks
* with parity coefficients "1,2,4,8". Changing polynomial to one of 391/451/463/487,
* it works for up to 27 disks with the same parity coefficients.
* Using different parity coefficients "5,13,27,35" it's possible to
* make it working for up to 33 disks. But no more.
*
* To support more disks it's possible to use the Galois Field GF(2^16) with
* primitive polynomial 100087 or 122563 that supports Hexa (6) Parity with
* parity coefficients 1,2,4,8,16,32 for up to 89 disks.
*
* A general method working for any number of disks, is to use a a Cauchy matrix [4],
* instead of a Vandermonde matrix to setup the matrix used to compute the parity.
* But with a such matrix, we would obtain a slower performance, because the
* coefficients of the equations are arbitrarily chosen, and not powers of
* the same coefficient.
* This means that you need to use multiplication tables to implement the
* parity computation, instead of the fast approach described in [1].
* Note anyway, that there is also a way to implement multiplication tables
* in a very fast way with SSE instructions [5].
*
* In details, RAIDTP is implemented for n disks Di, computing the parities
* P,Q,R with:
*
* P = sum(Di) 0<=i<n
* Q = sum(2^i * Di) 0<=i<n
* R = sum(4^i * Di) 0<=i<n
*
* To recover from a failure of three disks at indexes x,y,z,
* with 0<=x<y<z<n, we compute the parities of the available disks:
*
* Pa = sum(Di) 0<=i<n,i!=x,i!=y,i!=z
* Qa = sum(2^i * Di) 0<=i<n,i!=x,i!=y,i!=z
* Ra = sum(4^i * Di) 0<=i<n,i!=x,i!=y,i!=z
*
* and if we define:
*
* Pd = Pa + P
* Qd = Qa + Q
* Rd = Ra + R
*
* we can sum these two set equations, obtaining:
*
* Pd = Dx + Dy + Dz
* Qd = 2^x * Dx + 2^y * Dy + 2^z * Dz
* Rd = 4^x * Dx + 4^y * Dy + 4^z * Dz
*
* A linear system always solvable because the coefficients matrix is always
* not singular, including all its submatrix.
* We can prove that by brute-force, trying all the possible combinations
* of x,y,z with 0<=x<y<z<255.
*
* The other recovering cases are a simplification of the general one,
* with some equations or addends removed.
*
* For RAIDQP we follow the same method starting with:
*
* P = sum(Di) 0<=i<n
* Q = sum(2^i * Di) 0<=i<n
* R = sum(4^i * Di) 0<=i<n
* S = sum(8^i * Di) 0<=i<n
*
* obtaining:
*
* Pd = Dx + Dy + Dz + Dv
* Qd = 2^x * Dx + 2^y * Dy + 2^z * Dz + 2^v * Dv
* Rd = 4^x * Dx + 4^y * Dy + 4^z * Dz + 4^v * Dv
* Sd = 8^x * Dx + 8^y * Dy + 8^z * Dz + 8^v * Dv
*
* In this case the coefficients matrix and all its submatrix are not singular
* only for up to 21 data disk (0<=x<y<z<v<21 with the primitive poly 285).
*
* References:
* [1] Anvin, "The mathematics of RAID-6", 2004
* [2] Brown, "Multiple-parity RAID", 2011
* [3] MacWilliams, Sloane, "The Theory of Error-Correcting Codes", 1977
* [4] Bl<42>mer, "An XOR-Based Erasure-Resilient Coding Scheme", 1995
* [5] Plank, "Screaming Fast Galois Field Arithmetic Using Intel SIMD Instructions", 2013
*/
/**
* GF a*b.
*/
static inline unsigned char mul(unsigned char a, unsigned char b)
{
return gfmul[a][b];
}
/**
* GF 1/a.
* Not defined for a == 0.
*/
static inline unsigned char inv(unsigned char v)
{
if (v == 0) {
fprintf(stderr, "GF division by zero\n");
exit(EXIT_FAILURE);
}
return gfinv[v];
}
/**
* GF 2^a.
*/
static inline unsigned char pow2(int v)
{
if (v < 0 || v > 254) {
fprintf(stderr, "GF invalid exponent\n");
exit(EXIT_FAILURE);
}
return gfexp2[v];
}
/**
* GF 4^a.
*/
static inline unsigned char pow4(int v)
{
if (v < 0 || v > 254) {
fprintf(stderr, "GF invalid exponent\n");
exit(EXIT_FAILURE);
}
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 base\n");
exit(EXIT_FAILURE);
}
/**
* Gets the multiplication table for a specified value.
*/
static inline const unsigned char* table(unsigned char v)
{
return gfmul[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)
{
unsigned char* p;
unsigned char* pa;
/* parity buffer */
p = vbuf[data+i];
/* missing data blcks */
pa = vbuf[x];
/* set at zero the missing data blocks */
vbuf[x] = zero;
/* compute only for the level we really need */
vbuf[data+i] = pa;
/* compute the parity */
raid_gen(i + 1, vbuf, data, size);
/* restore as before */
vbuf[x] = pa;
vbuf[data+i] = p;
}
/**
* 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)
{
unsigned char* p;
unsigned char* q;
unsigned char* pa;
unsigned char* qa;
/* parity buffer */
p = vbuf[data+i];
q = vbuf[data+j];
/* missing data blcks */
pa = vbuf[x];
qa = vbuf[y];
/* set at zero the missing data blocks */
vbuf[x] = zero;
vbuf[y] = zero;
/* compute the parity over the missing data blocks */
vbuf[data+i] = pa;
vbuf[data+j] = qa;
/* compute only for the level we really need */
raid_gen(j + 1, vbuf, data, size);
/* restore as before */
vbuf[x] = pa;
vbuf[y] = qa;
vbuf[data+i] = p;
vbuf[data+j] = q;
}
/**
* 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)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
unsigned char* pa;
unsigned char* qa;
unsigned char* ra;
/* parity buffer */
p = vbuf[data+i];
q = vbuf[data+j];
r = vbuf[data+k];
/* missing data blcks */
pa = vbuf[x];
qa = vbuf[y];
ra = vbuf[z];
/* set at zero the missing data blocks */
vbuf[x] = zero;
vbuf[y] = zero;
vbuf[z] = zero;
/* compute the parity over the missing data blocks */
vbuf[data+i] = pa;
vbuf[data+j] = qa;
vbuf[data+k] = ra;
/* compute only for the level we really need */
raid_gen(k + 1, vbuf, data, size);
/* restore as before */
vbuf[x] = pa;
vbuf[y] = qa;
vbuf[z] = ra;
vbuf[data+i] = p;
vbuf[data+j] = q;
vbuf[data+k] = r;
}
/**
* 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)
{
unsigned char* p;
unsigned char* q;
unsigned char* r;
unsigned char* s;
unsigned char* pa;
unsigned char* qa;
unsigned char* ra;
unsigned char* sa;
/* parity buffer */
p = vbuf[data+i];
q = vbuf[data+j];
r = vbuf[data+k];
s = vbuf[data+l];
/* missing data blcks */
pa = vbuf[x];
qa = vbuf[y];
ra = vbuf[z];
sa = vbuf[v];
/* set at zero the missing data blocks */
vbuf[x] = zero;
vbuf[y] = zero;
vbuf[z] = zero;
vbuf[v] = zero;
/* compute the parity over the missing data blocks */
vbuf[data+i] = pa;
vbuf[data+j] = qa;
vbuf[data+k] = ra;
vbuf[data+l] = sa;
/* compute only for the level we really need */
raid_gen(l + 1, vbuf, data, size);
/* restore as before */
vbuf[x] = pa;
vbuf[y] = qa;
vbuf[z] = ra;
vbuf[v] = sa;
vbuf[data+i] = p;
vbuf[data+j] = q;
vbuf[data+k] = r;
vbuf[data+l] = s;
}
/**
* Recover failure of one data block for RAID5.
*
* Starting from the equation:
*
* Pd = Dx
*
* and solving we get:
*
* Dx = Pd (this one is easy :D)
*/
static void raid5_recov_data(int x, unsigned char** vbuf, unsigned data, unsigned size)
{
unsigned char* p;
unsigned char* pa;
/* for RAID5 we can directly compute the mssing block */
/* and we don't need to use the zero buffer */
p = vbuf[data];
pa = vbuf[x];
/* use the parity as missing data block */
vbuf[x] = p;
/* compute the parity over the missing data block */
vbuf[data] = pa;
/* compute */
raid5_gen(vbuf, data, size);
/* restore as before */
vbuf[x] = pa;
vbuf[data] = p;
}
/**
* Recover failure of two data blocks for RAID6.
*
* Starting from the equations:
*
* Pd = Dx + Dy
* Qd = 2^x * Dx + 2^y * Dy
*
* and solving we get:
*
* 1 2^(-x)
* Dy = ----------- * Pd + ----------- * Qd
* 2^(y-x) + 1 2^(y-x) + 1
*
* Dx = Dy + Pd
*
* with conditions:
*
* 2^x != 0
* 2^(y-x) + 1 != 0
*
* That are always satisfied for any 0<=x<y<255.
*/
static void raid6_recov_2data(int x, int y, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size)
{
unsigned o;
unsigned char* p;
unsigned char* pa;
unsigned char* q;
unsigned char* qa;
const unsigned char* pyf; /* P factor to compute Dy */
const unsigned char* qyf; /* Q factor to compute Dy */
/* select tables */
pyf = table( inv(pow2(y-x) ^ 1) );
qyf = table( inv(pow2(x) ^ pow2(y)) );
/* compute delta parity */
raid_delta_2data(x, y, 0, 1, vbuf, data, zero, size);
p = vbuf[data];
q = vbuf[data+1];
pa = vbuf[x];
qa = vbuf[y];
for(o=0;o<size;++o) {
/* delta */
unsigned char Pd = p[o] ^ pa[o];
unsigned char Qd = q[o] ^ qa[o];
/* addends to reconstruct Dy */
unsigned char pbm = pyf[Pd];
unsigned char qbm = qyf[Qd];
/* reconstruct Dy */
unsigned char Dy = pbm ^ qbm;
/* reconstruct Dx */
unsigned char Dx = Pd ^ Dy;
/* set */
pa[o] = Dx;
qa[o] = Dy;
}
}
/**
* Recover failure of two data blocks without Q for RAIDTP.
*
* Starting from the equations:
*
* Pd = Dx + Dy
* Rd = 4^x * Dx + 4^y * Dy
*
* and solving we get:
*
* 1 4^(-x)
* Dy = ----------- * Pd + ----------- * Rd
* 4^(y-x) + 1 4^(y-x) + 1
*
* Dx = Dy + Pd
*
* with conditions:
*
* 4^x != 0
* 4^(y-x) + 1 != 0
*
* That are always satisfied for any 0<=x<y<255.
*/
static void raidTP_recov_2dataq(int x, int y, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size)
{
unsigned o;
unsigned char* p;
unsigned char* pa;
unsigned char* r;
unsigned char* ra;
const unsigned char* pyf; /* Q factor to compute Dy */
const unsigned char* ryf; /* R factor to compute Dy */
unsigned char c1;
/* select tables */
c1 = inv(pow4(y-x) ^ 1);
pyf = table( c1 );
ryf = table( mul(c1, inv(pow4(x))) );
/* compute delta parity */
raid_delta_2data(x, y, 0, 2, vbuf, data, zero, size);
p = vbuf[data];
r = vbuf[data+2];
pa = vbuf[x];
ra = vbuf[y];
for(o=0;o<size;++o) {
/* delta */
unsigned char Pd = p[o] ^ pa[o];
unsigned char Rd = r[o] ^ ra[o];
/* addends to reconstruct Dy */
unsigned char pym = pyf[Pd];
unsigned char rym = ryf[Rd];
/* reconstruct Dy */
unsigned char Dy = pym ^ rym;
/* reconstruct Dx */
unsigned char Dx = Pd ^ Dy;
/* set */
pa[o] = Dx;
ra[o] = Dy;
}
}
/**
* Recover failure of two data blocks without P for RAIDTP.
*
* Starting from the equations:
*
* Qd = 2^x * Dx + 2^y * Dy
* Rd = 4^x * Dx + 4^y * Dy
*
* and solving we get:
*
* 2^(-x) 4^(-x)
* Dy = ----------------- * Qd + ----------------- * Rd
* 2^(y-x) + 4^(y-x) 2^(y-z) + 4^(y-x)
*
* Dx = 2^(y-x) * Dy + 2^(-x) * Qd
*
* with conditions:
*
* 2^x != 0
* 4^x != 0
* 2^(y-x) + 4^(y-x) != 0
*
* That are always satisfied for any 0<=x<y<255.
*/
static void raidTP_recov_2datap(int x, int y, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size)
{
unsigned o;
unsigned char* q;
unsigned char* qa;
unsigned char* r;
unsigned char* ra;
const unsigned char* qyf; /* Q factor to compute Dy */
const unsigned char* ryf; /* R factor to compute Dy */
const unsigned char* qxf; /* Q factor to compute Dx */
const unsigned char* yxf; /* Dy factor to compute Dx */
unsigned char c1;
/* select tables */
c1 = inv(pow2(y-x) ^ pow4(y-x));
qyf = table( mul(c1, inv(pow2(x))) );
ryf = table( mul(c1, inv(pow4(x))) );
qxf = table( inv(pow2(x)) );
yxf = table( pow2(y-x) );
/* compute delta parity */
raid_delta_2data(x, y, 1, 2, vbuf, data, zero, size);
q = vbuf[data+1];
r = vbuf[data+2];
qa = vbuf[x];
ra = vbuf[y];
for(o=0;o<size;++o) {
/* delta */
unsigned char Qd = q[o] ^ qa[o];
unsigned char Rd = r[o] ^ ra[o];
/* addends to reconstruct Dy */
unsigned char qym = qyf[Qd];
unsigned char rym = ryf[Rd];
/* reconstruct Dy */
unsigned char Dy = qym ^ rym;
/* addends to reconstruct Dx */
unsigned char qxm = qxf[Qd];
unsigned char bxm = yxf[Dy];
/* reconstruct Dx */
unsigned char Dx = qxm ^ bxm;
/* set */
qa[o] = Dx;
ra[o] = Dy;
}
}
/**
* Recover failure of three data blocks for RAIDTP.
*
* Starting from the equations:
*
* Pd = Dx + Dy + Dz
* Qd = 2^x * Dx + 2^y * Dy + 2^z * Dz
* Rd = 4^x * Dx + 4^y * Dy + 4^z * Dz
*
* and solving we get:
*
* 1 1 1
* Dz = ------------------------- * ( ----------- * (Pd + 2^(-x) * Qd) + ----------- * (Pd + 4^(-x) * Rd) )
* 2^(z-x) + 1 4^(z-x) + 1 2^(y-x) + 1 4^(y-x) + 1
* ----------- + -----------
* 2^(y-x) + 1 4^(y-x) + 1
*
* 2^(z-x) + 1 1 2^(-x)
* Dy = ----------- * Dz + ----------- * Pd + ----------- * Qd
* 2^(y-x) + 1 2^(y-x) + 1 2^(y-z) + 1
*
* Dx = Dy + Dz + Pd
*
* with conditions:
*
* 2^x != 0
* 4^x != 0
* 2^(y-x) + 1 != 0
* 4^(y-x) + 1 != 0
* 2^(z-x) + 1 4^(z-x) + 1
* ----------- + ----------- != 0
* 2^(y-x) + 1 4^(y-x) + 1
*
* That are always satisfied for any 0<=x<y<z<255.
*/
static void raidTP_recov_3data(int x, int y, int z, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size)
{
unsigned o;
unsigned char* p;
unsigned char* pa;
unsigned char* q;
unsigned char* qa;
unsigned char* r;
unsigned char* ra;
const unsigned char* pzf; /* P factor to compute Dz */
const unsigned char* qzf; /* Q factor to compute Dz */
const unsigned char* rzf; /* R factor to compute Dz */
const unsigned char* pyf; /* P factor to compute Dy */
const unsigned char* qyf; /* Q factor to compute Dy */
const unsigned char* zyf; /* Dz factor to compute Dy */
unsigned char c1, c2, c3;
/* select tables */
c1 = inv(pow2(y-x) ^ 1);
c2 = inv(pow4(y-x) ^ 1);
c3 = inv(mul(pow2(z-x) ^ 1, c1) ^ mul(pow4(z-x) ^ 1, c2));
pzf = table( mul(c3, c1) ^ mul(c3, c2) );
qzf = table( mul(c3, inv(pow2(y) ^ pow2(x))) );
rzf = table( mul(c3, inv(pow4(y) ^ pow4(x))) );
pyf = table( c1 );
qyf = table( mul(c1, inv(pow2(x))) );
zyf = table( mul(c1, pow2(z-x) ^ 1) );
/* compute delta parity */
raid_delta_3data(x, y, z, 0, 1, 2, vbuf, data, zero, size);
p = vbuf[data];
q = vbuf[data+1];
r = vbuf[data+2];
pa = vbuf[x];
qa = vbuf[y];
ra = vbuf[z];
for(o=0;o<size;++o) {
/* delta */
unsigned char Pd = p[o] ^ pa[o];
unsigned char Qd = q[o] ^ qa[o];
unsigned char Rd = r[o] ^ ra[o];
/* addends to reconstruct Dz */
unsigned char pzm = pzf[Pd];
unsigned char qzm = qzf[Qd];
unsigned char rzm = rzf[Rd];
/* reconstruct Dz */
unsigned char Dz = pzm ^ qzm ^ rzm;
/* addends to reconstruct Dy */
unsigned char pym = pyf[Pd];
unsigned char qym = qyf[Qd];
unsigned char zym = zyf[Dz];
/* reconstruct Dy */
unsigned char Dy = pym ^ qym ^ zym;
/* reconstruct Dx */
unsigned char Dx = Pd ^ Dy ^ Dz;
/* set */
pa[o] = Dx;
qa[o] = Dy;
ra[o] = Dz;
}
}
/****************************************************************************/
/* matrix recovering */
/**
* Inverts the square matrix M of size nxn into V.
* We use Gauss elimination to invert.
*/
static void invert(unsigned char* M, unsigned char* V, unsigned n)
{
unsigned i,j,k;
/* set the identity matrix in V */
for(i=0;i<n;++i) {
for(j=0;j<n;++j) {
V[i*n+j] = i == j;
}
}
/* for each element in the diagonal */
for(k=0;k<n;++k) {
unsigned char f;
/* if the diagonal element is 0 */
if (M[k*n+k] == 0) {
/* find the next row with element at the same position not 0 */
for(i=k+1;i<n;++i)
if (M[i*n+k] != 0)
break;
/* if not found, the matrix is singular */
if (i == n) {
fprintf(stderr, "GF inversion of a singular matrix\n");
exit(EXIT_FAILURE);
}
/* sum the row at the present one to make the diagonal element different than 0 */
/* here usually the two rows are swapped, but summing is also ok */
for(j=0;j<n;++j) {
M[k*n+j] ^= M[i*n+j];
V[k*n+j] ^= V[i*n+j];
}
}
/* make the diagonal element to be 1 */
f = inv(M[k*n+k]);
for(j=0;j<n;++j) {
M[k*n+j] = mul(f, M[k*n+j]);
V[k*n+j] = mul(f, V[k*n+j]);
}
/* make all the elements over and under the diagonal to be 0 */
for(i=0;i<n;++i) {
if (i == k)
continue;
f = M[i*n+k];
for(j=0;j<n;++j) {
M[i*n+j] ^= mul(f, M[k*n+j]);
V[i*n+j] ^= mul(f, V[k*n+j]);
}
}
}
}
/**
* Recover failure of one data block x using parity i for any RAID level.
*
* Starting from the equation:
*
* Sd = (2^i)^x * Dx
*
* and solving we get:
*
* Dx = (2^i)^(-x) * Sd
*
* with conditions:
*
* (2^i)^x != 0
*
* That are always satisfied for any 0<=x<y<255.
*/
void raid_recov_1data(int x, int i, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size)
{
unsigned o;
unsigned char* p;
unsigned char* pa;
const unsigned char* pxf; /* P factor to compute Dx */
/* if it's RAID5 uses the dedicated and faster function */
if (i == 0) {
raid5_recov_data(x, vbuf, data, size);
return;
}
/* select tables */
pxf = table( inv(pown(i,x)) );
/* compute delta parity */
raid_delta_1data(x, i, vbuf, data, zero, size);
p = vbuf[data+i];
pa = vbuf[x];
for(o=0;o<size;++o) {
/* delta */
unsigned char Pd = p[o] ^ pa[o];
/* addends to reconstruct Dx */
unsigned char pxm = pxf[Pd];
/* reconstruct Dx */
unsigned char Dx = pxm;
/* set */
pa[o] = Dx;
}
}
/**
* Recover failure of two data blocks x,y using parity i,j for any RAID level.
*
* Starting from the equations:
*
* Pd = (2^i)^x * Dx + (2^i)^y * Dy
* Qd = (2^j)^x * Dx + (2^j)^y * Dy
*
* we solve inverting the coefficients matrix.
*/
void raid_recov_2data(int x, int y, int i, int j, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size)
{
unsigned o;
unsigned char* p;
unsigned char* pa;
unsigned char* q;
unsigned char* qa;
const unsigned char* pxf; /* P factor to compute Dx */
const unsigned char* qxf; /* Q factor to compute Dx */
const unsigned char* pyf; /* P factor to compute Dy */
const unsigned char* qyf; /* Q factor to compute Dy */
unsigned char G[2*2];
unsigned char V[2*2];
unsigned n = 2;
/* if it's RAID6 uses the dedicated and faster function */
if (i == 0 && j == 1) {
raid6_recov_2data(x, y, vbuf, data, zero, size);
return;
}
/* if it's RAIDTP uses the dedicated and faster function */
if (i == 0 && j == 2) {
raidTP_recov_2dataq(x, y, vbuf, data, zero, size);
return;
}
/* if it's RAIDTP uses the dedicated and faster function */
if (i == 1 && j == 2) {
raidTP_recov_2datap(x, y, vbuf, data, zero, size);
return;
}
/* setup the generator matrix */
G[0*n+0] = pown(i,x); /* row 1 for P */
G[0*n+1] = pown(i,y);
G[1*n+0] = pown(j,x); /* row 2 for Q */
G[1*n+1] = pown(j,y);
/* invert it to solve the system of linear equations */
invert(G, V, n);
/* select tables */
pxf = table( V[0*n+0] );
qxf = table( V[0*n+1] );
pyf = table( V[1*n+0] );
qyf = table( V[1*n+1] );
/* compute delta parity */
raid_delta_2data(x, y, i, j, vbuf, data, zero, size);
p = vbuf[data+i];
q = vbuf[data+j];
pa = vbuf[x];
qa = vbuf[y];
for(o=0;o<size;++o) {
/* delta */
unsigned char Pd = p[o] ^ pa[o];
unsigned char Qd = q[o] ^ qa[o];
/* addends to reconstruct Dy */
unsigned char pym = pyf[Pd];
unsigned char qym = qyf[Qd];
/* reconstruct Dy */
unsigned char Dy = pym ^ qym;
/* reconstruct Dx */
unsigned char Dx;
/* if i is P, take the fast way */
if (i == 0) {
Dx = Pd ^ Dy;
} else {
/* addends to reconstruct Dx */
unsigned char pxm = pxf[Pd];
unsigned char qxm = qxf[Qd];
/* reconstruct Dx */
Dx = pxm ^ qxm;
}
/* set */
pa[o] = Dx;
qa[o] = Dy;
}
}
/**
* Recover failure of three data blocks x,y,z using parity i,j,k for any RAID level.
*
* Starting from the equations:
*
* Pd = (2^i)^x * Dx + (2^i)^y * Dy + (2^i)^z * Dz
* Qd = (2^j)^x * Dx + (2^j)^y * Dy + (2^j)^z * Dz
* Rd = (2^k)^x * Dx + (2^k)^y * Dy + (2^k)^z * Dz
*
* we solve inverting the coefficients matrix.
*/
void raid_recov_3data(int x, int y, int z, int i, int j, int k, unsigned char** vbuf, unsigned data, unsigned char* zero, unsigned size)
{
unsigned o;
unsigned char* p;
unsigned char* pa;
unsigned char* q;
unsigned char* qa;
unsigned char* r;
unsigned char* ra;
const unsigned char* pxf; /* P factor to compute Dx */
const unsigned char* qxf; /* Q factor to compute Dx */
const unsigned char* rxf; /* R factor to compute Dx */
const unsigned char* pyf; /* P factor to compute Dy */
const unsigned char* qyf; /* Q factor to compute Dy */
const unsigned char* ryf; /* R factor to compute Dy */
const unsigned char* pzf; /* P factor to compute Dz */
const unsigned char* qzf; /* Q factor to compute Dz */
const unsigned char* rzf; /* R factor to compute Dz */
unsigned char G[3*3];
unsigned char V[3*3];
unsigned n = 3;
/* if it's RAIDTP uses the dedicated and faster function */
if (i == 0 && j == 1 && k == 2) {
raidTP_recov_3data(x, y, z, vbuf, data, zero, size);
return;
}
/* setup the generator matrix */
G[0*n+0] = pown(i,x); /* row 1 for P */
G[0*n+1] = pown(i,y);
G[0*n+2] = pown(i,z);
G[1*n+0] = pown(j,x); /* row 2 for Q */
G[1*n+1] = pown(j,y);
G[1*n+2] = pown(j,z);
G[2*n+0] = pown(k,x); /* row 3 for R */
G[2*n+1] = pown(k,y);
G[2*n+2] = pown(k,z);
/* invert it to solve the system of linear equations */
invert(G, V, n);
/* select tables */
pxf = table( V[0*n+0] );
qxf = table( V[0*n+1] );
rxf = table( V[0*n+2] );
pyf = table( V[1*n+0] );
qyf = table( V[1*n+1] );
ryf = table( V[1*n+2] );
pzf = table( V[2*n+0] );
qzf = table( V[2*n+1] );
rzf = table( V[2*n+2] );
/* compute delta parity */
raid_delta_3data(x, y, z, i, j, k, vbuf, data, zero, size);
p = vbuf[data+i];
q = vbuf[data+j];
r = vbuf[data+k];
pa = vbuf[x];
qa = vbuf[y];
ra = vbuf[z];
for(o=0;o<size;++o) {
/* delta */
unsigned char Pd = p[o] ^ pa[o];
unsigned char Qd = q[o] ^ qa[o];
unsigned char Rd = r[o] ^ ra[o];
/* addends to reconstruct Dz */
unsigned char pzm = pzf[Pd];
unsigned char qzm = qzf[Qd];
unsigned char rzm = rzf[Rd];
/* reconstruct Dz */
unsigned char Dz = pzm ^ qzm ^ rzm;
/* addends to reconstruct Dy */
unsigned char pym = pyf[Pd];
unsigned char qym = qyf[Qd];
unsigned char rym = ryf[Rd];
/* reconstruct Dy */
unsigned char Dy = pym ^ qym ^ rym;
/* reconstruct Dx */
unsigned char Dx;
/* if i is P, take the fast way */
if (i == 0) {
Dx = Pd ^ Dy ^ Dz;
} else {
/* addends to reconstruct Dx */
unsigned char pxm = pxf[Pd];
unsigned char qxm = qxf[Qd];
unsigned char rxm = rxf[Rd];
/* reconstruct Dx */
Dx = pxm ^ qxm ^ rxm;
}
/* set */
pa[o] = Dx;
qa[o] = Dy;
ra[o] = Dz;
}
}
/**
* Recover failure of four data blocks x,y,z,v using parity i,j,k,l for any RAID level.
*
* Starting from the equations:
*
* Pd = (2^i)^x * Dx + (2^i)^y * Dy + (2^i)^z * Dz + (2^i)^v * Dv
* Qd = (2^j)^x * Dx + (2^j)^y * Dy + (2^j)^z * Dz + (2^j)^v * Dv
* Rd = (2^k)^x * Dx + (2^k)^y * Dy + (2^k)^z * Dz + (2^k)^v * Dv
* Sd = (2^l)^x * Dx + (2^l)^y * Dy + (2^l)^z * Dz + (2^l)^v * Dv
*
* we solve inverting the coefficients matrix.
*/
void raid_recov_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)
{
unsigned o;
unsigned char* p;
unsigned char* pa;
unsigned char* q;
unsigned char* qa;
unsigned char* r;
unsigned char* ra;
unsigned char* s;
unsigned char* sa;
const unsigned char* pxf; /* P factor to compute Dx */
const unsigned char* qxf; /* Q factor to compute Dx */
const unsigned char* rxf; /* R factor to compute Dx */
const unsigned char* sxf; /* S factor to compute Dx */
const unsigned char* pyf; /* P factor to compute Dy */
const unsigned char* qyf; /* Q factor to compute Dy */
const unsigned char* ryf; /* R factor to compute Dy */
const unsigned char* syf; /* S factor to compute Dy */
const unsigned char* pzf; /* P factor to compute Dz */
const unsigned char* qzf; /* Q factor to compute Dz */
const unsigned char* rzf; /* R factor to compute Dz */
const unsigned char* szf; /* S factor to compute Dz */
const unsigned char* pvf; /* P factor to compute Dv */
const unsigned char* qvf; /* Q factor to compute Dv */
const unsigned char* rvf; /* R factor to compute Dv */
const unsigned char* svf; /* S factor to compute Dv */
unsigned char G[4*4];
unsigned char V[4*4];
unsigned n = 4;
/* setup the generator matrix */
G[0*n+0] = pown(i,x); /* row 1 for P */
G[0*n+1] = pown(i,y);
G[0*n+2] = pown(i,z);
G[0*n+3] = pown(i,v);
G[1*n+0] = pown(j,x); /* row 2 for Q */
G[1*n+1] = pown(j,y);
G[1*n+2] = pown(j,z);
G[1*n+3] = pown(j,v);
G[2*n+0] = pown(k,x); /* row 3 for R */
G[2*n+1] = pown(k,y);
G[2*n+2] = pown(k,z);
G[2*n+3] = pown(k,v);
G[3*n+0] = pown(l,x); /* row 4 for S */
G[3*n+1] = pown(l,y);
G[3*n+2] = pown(l,z);
G[3*n+3] = pown(l,v);
/* invert it to solve the system of linear equations */
invert(G, V, n);
/* select tables */
pxf = table( V[0*n+0] );
qxf = table( V[0*n+1] );
rxf = table( V[0*n+2] );
sxf = table( V[0*n+3] );
pyf = table( V[1*n+0] );
qyf = table( V[1*n+1] );
ryf = table( V[1*n+2] );
syf = table( V[1*n+3] );
pzf = table( V[2*n+0] );
qzf = table( V[2*n+1] );
rzf = table( V[2*n+2] );
szf = table( V[2*n+3] );
pvf = table( V[3*n+0] );
qvf = table( V[3*n+1] );
rvf = table( V[3*n+2] );
svf = table( V[3*n+3] );
/* compute delta parity */
raid_delta_4data(x, y, z, v, i, j, k, l, vbuf, data, zero, size);
p = vbuf[data+i];
q = vbuf[data+j];
r = vbuf[data+k];
s = vbuf[data+l];
pa = vbuf[x];
qa = vbuf[y];
ra = vbuf[z];
sa = vbuf[v];
for(o=0;o<size;++o) {
/* delta */
unsigned char Pd = p[o] ^ pa[o];
unsigned char Qd = q[o] ^ qa[o];
unsigned char Rd = r[o] ^ ra[o];
unsigned char Sd = s[o] ^ sa[o];
/* addends to reconstruct Dv */
unsigned char pvm = pvf[Pd];
unsigned char qvm = qvf[Qd];
unsigned char rvm = rvf[Rd];
unsigned char svm = svf[Sd];
/* reconstruct Dv */
unsigned char Dv = pvm ^ qvm ^ rvm ^ svm;
/* addends to reconstruct Dz */
unsigned char pzm = pzf[Pd];
unsigned char qzm = qzf[Qd];
unsigned char rzm = rzf[Rd];
unsigned char szm = szf[Sd];
/* reconstruct Dz */
unsigned char Dz = pzm ^ qzm ^ rzm ^ szm;
/* addends to reconstruct Dy */
unsigned char pym = pyf[Pd];
unsigned char qym = qyf[Qd];
unsigned char rym = ryf[Rd];
unsigned char sym = syf[Sd];
/* reconstruct Dy */
unsigned char Dy = pym ^ qym ^ rym ^ sym;
/* reconstruct Dx */
unsigned char Dx;
/* if i is P, take the fast way */
if (i == 0) {
Dx = Pd ^ Dy ^ Dz ^ Dv;
} else {
/* addends to reconstruct Dx */
unsigned char pxm = pxf[Pd];
unsigned char qxm = qxf[Qd];
unsigned char rxm = rxf[Rd];
unsigned char sxm = sxf[Sd];
/* reconstruct Dx */
Dx = pxm ^ qxm ^ rxm ^ sxm;
}
/* set */
pa[o] = Dx;
qa[o] = Dy;
ra[o] = Dz;
sa[o] = Dv;
}
}
/****************************************************************************/
/* init/done */
void raid_init(void)
{
if (sizeof(void*) == 4) {
raid5_gen = raid5_int32;
raid6_gen = raid6_int32;
raidTP_gen = raidTP_int32;
raidQP_gen = raidQP_int32;
} else {
raid5_gen = raid5_int64;
raid6_gen = raid6_int64;
raidTP_gen = raidTP_int64;
raidQP_gen = raidQP_int64;
}
#if defined(__i386__) || defined(__x86_64__)
if (cpu_has_mmx()) {
raid5_gen = raid5_mmx;
raid6_gen = raid6_mmx;
raidTP_gen = raidTP_mmx;
raidQP_gen = raidQP_mmx;
}
if (cpu_has_sse2()) {
#if defined(__x86_64__)
if (cpu_has_slowextendedreg()) {
raid5_gen = raid5_sse2;
raid6_gen = raid6_sse2;
} else {
raid5_gen = raid5_sse2ext;
raid6_gen = raid6_sse2ext;
}
raidTP_gen = raidTP_sse2ext;
raidQP_gen = raidQP_sse2ext;
#else
raid5_gen = raid5_sse2;
raid6_gen = raid6_sse2;
raidTP_gen = raidTP_sse2;
raidQP_gen = raidQP_sse2;
#endif
}
if (cpu_has_ssse3()) {
#if defined(__x86_64__)
raidTP_gen = raidTP_ssse3ext;
raidQP_gen = raidQP_ssse3ext;
#else
raidTP_gen = raidTP_ssse3;
raidQP_gen = raidQP_ssse3;
#endif
}
if (cpu_has_avx()) {
#if defined(__x86_64__)
raidQP_gen = raidQP_avxext;
#endif
}
#endif
}
static struct raid_func {
const char* name;
void* p;
} RAID_FUNC[] = {
{ "int32", raid5_int32 },
{ "int64", raid5_int64 },
{ "int32", raid6_int32 },
{ "int64", raid6_int64 },
{ "int32", raidTP_int32 },
{ "int64", raidTP_int64 },
{ "int32", raidQP_int32 },
{ "int64", raidQP_int64 },
#if defined(__i386__) || defined(__x86_64__)
{ "mmx", raid5_mmx },
{ "mmx", raid6_mmx },
{ "mmx", raidTP_mmx },
{ "mmx", raidQP_mmx },
{ "sse2", raid5_sse2 },
{ "sse2", raid6_sse2 },
{ "sse2", raidTP_sse2 },
{ "sse2", raidQP_sse2 },
{ "ssse3", raidTP_ssse3 },
{ "ssse3", raidQP_ssse3 },
#endif
#if defined(__x86_64__)
{ "sse2ext", raid5_sse2ext },
{ "sse2ext", raid6_sse2ext },
{ "sse2ext", raidTP_sse2ext },
{ "sse2ext", raidQP_sse2ext },
{ "ssse3ext", raidTP_ssse3ext },
{ "ssse3ext", raidQP_ssse3ext },
{ "avxext", raidQP_avxext },
#endif
{ 0, 0 }
};
static const char* raid_tag(void* func)
{
struct raid_func* i = RAID_FUNC;
while (i->name != 0) {
if (i->p == func)
return i->name;
++i;
}
return "unknown";
}
const char* raid5_tag(void)
{
return raid_tag(raid5_gen);
}
const char* raid6_tag(void)
{
return raid_tag(raid6_gen);
}
const char* raidTP_tag(void)
{
return raid_tag(raidTP_gen);
}
const char* raidQP_tag(void)
{
return raid_tag(raidQP_gen);
}
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