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gf_w64.c
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gf_w64.c
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/*
* GF-Complete: A Comprehensive Open Source Library for Galois Field Arithmetic
* James S. Plank, Ethan L. Miller, Kevin M. Greenan,
* Benjamin A. Arnold, John A. Burnum, Adam W. Disney, Allen C. McBride.
*
* gf_w64.c
*
* Routines for 64-bit Galois fields
*/
#include "gf_int.h"
#include <stdio.h>
#include <stdlib.h>
#define GF_FIELD_WIDTH (64)
#define GF_FIRST_BIT (1ULL << 63)
#define GF_BASE_FIELD_WIDTH (32)
#define GF_BASE_FIELD_SIZE (1ULL << GF_BASE_FIELD_WIDTH)
#define GF_BASE_FIELD_GROUP_SIZE GF_BASE_FIELD_SIZE-1
struct gf_w64_group_data {
uint64_t *reduce;
uint64_t *shift;
uint64_t *memory;
};
struct gf_split_4_64_lazy_data {
uint64_t tables[16][16];
uint64_t last_value;
};
struct gf_split_8_64_lazy_data {
uint64_t tables[8][(1<<8)];
uint64_t last_value;
};
struct gf_split_16_64_lazy_data {
uint64_t tables[4][(1<<16)];
uint64_t last_value;
};
struct gf_split_8_8_data {
uint64_t tables[15][256][256];
};
static
inline
gf_val_64_t gf_w64_inverse_from_divide (gf_t *gf, gf_val_64_t a)
{
return gf->divide.w64(gf, 1, a);
}
#define MM_PRINT8(s, r) { uint8_t blah[16], ii; printf("%-12s", s); _mm_storeu_si128((__m128i *)blah, r); for (ii = 0; ii < 16; ii += 1) printf("%s%02x", (ii%4==0) ? " " : " ", blah[15-ii]); printf("\n"); }
static
inline
gf_val_64_t gf_w64_divide_from_inverse (gf_t *gf, gf_val_64_t a, gf_val_64_t b)
{
b = gf->inverse.w64(gf, b);
return gf->multiply.w64(gf, a, b);
}
static
void
gf_w64_multiply_region_from_single(gf_t *gf, void *src, void *dest, gf_val_64_t val, int bytes, int
xor)
{
int i;
gf_val_64_t *s64;
gf_val_64_t *d64;
s64 = (gf_val_64_t *) src;
d64 = (gf_val_64_t *) dest;
if (val == 0) { gf_multby_zero(dest, bytes, xor); return; }
if (val == 1) { gf_multby_one(src, dest, bytes, xor); return; }
if (xor) {
for (i = 0; i < bytes/sizeof(gf_val_64_t); i++) {
d64[i] ^= gf->multiply.w64(gf, val, s64[i]);
}
} else {
for (i = 0; i < bytes/sizeof(gf_val_64_t); i++) {
d64[i] = gf->multiply.w64(gf, val, s64[i]);
}
}
}
static
void
gf_w64_clm_multiply_region_from_single_2(gf_t *gf, void *src, void *dest, gf_val_64_t val, int bytes, int
xor)
{
int i, size;
gf_val_64_t *s64, *d64, *top;
gf_region_data rd;
#ifdef INTEL_SSE4_PCLMUL
__m128i a, b;
__m128i result, r1;
__m128i prim_poly;
__m128i v, w;
__m128i m1, m2, m3, m4;
gf_internal_t * h = gf->scratch;
if (val == 0) { gf_multby_zero(dest, bytes, xor); return; }
if (val == 1) { gf_multby_one(src, dest, bytes, xor); return; }
gf_set_region_data(&rd, gf, src, dest, bytes, val, xor, 16);
gf_do_initial_region_alignment(&rd);
prim_poly = _mm_set_epi32(0, 0, 0, (uint32_t)(h->prim_poly & 0xffffffffULL));
b = _mm_insert_epi64 (_mm_setzero_si128(), val, 0);
m1 = _mm_set_epi32(0, 0, 0, (uint32_t)0xffffffff);
m2 = _mm_slli_si128(m1, 4);
m2 = _mm_or_si128(m1, m2);
m3 = _mm_slli_si128(m1, 8);
m4 = _mm_slli_si128(m3, 4);
s64 = (gf_val_64_t *) rd.s_start;
d64 = (gf_val_64_t *) rd.d_start;
top = (gf_val_64_t *) rd.d_top;
size = bytes/sizeof(gf_val_64_t);
if (xor) {
while (d64 != top) {
a = _mm_load_si128((__m128i *) s64);
result = _mm_clmulepi64_si128 (a, b, 1);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m4), prim_poly, 1);
result = _mm_xor_si128 (result, w);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m3), prim_poly, 1);
r1 = _mm_xor_si128 (result, w);
result = _mm_clmulepi64_si128 (a, b, 0);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m4), prim_poly, 1);
result = _mm_xor_si128 (result, w);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m3), prim_poly, 1);
result = _mm_xor_si128 (result, w);
result = _mm_unpacklo_epi64(result, r1);
r1 = _mm_load_si128((__m128i *) d64);
result = _mm_xor_si128(r1, result);
_mm_store_si128((__m128i *) d64, result);
d64 += 2;
s64 += 2;
}
} else {
while (d64 != top) {
a = _mm_load_si128((__m128i *) s64);
result = _mm_clmulepi64_si128 (a, b, 1);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m4), prim_poly, 1);
result = _mm_xor_si128 (result, w);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m3), prim_poly, 1);
r1 = _mm_xor_si128 (result, w);
result = _mm_clmulepi64_si128 (a, b, 0);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m4), prim_poly, 1);
result = _mm_xor_si128 (result, w);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m3), prim_poly, 1);
result = _mm_xor_si128 (result, w);
result = _mm_unpacklo_epi64(result, r1);
_mm_store_si128((__m128i *) d64, result);
d64 += 2;
s64 += 2;
}
}
gf_do_final_region_alignment(&rd);
#endif
}
static
void
gf_w64_clm_multiply_region_from_single_4(gf_t *gf, void *src, void *dest, gf_val_64_t val, int bytes, int
xor)
{
int i, size;
gf_val_64_t *s64, *d64, *top;
gf_region_data rd;
#ifdef INTEL_SSE4_PCLMUL
__m128i a, b;
__m128i result, r1;
__m128i prim_poly;
__m128i w;
__m128i m1, m3, m4;
gf_internal_t * h = gf->scratch;
if (val == 0) { gf_multby_zero(dest, bytes, xor); return; }
if (val == 1) { gf_multby_one(src, dest, bytes, xor); return; }
gf_set_region_data(&rd, gf, src, dest, bytes, val, xor, 16);
gf_do_initial_region_alignment(&rd);
prim_poly = _mm_set_epi32(0, 0, 0, (uint32_t)(h->prim_poly & 0xffffffffULL));
b = _mm_insert_epi64 (_mm_setzero_si128(), val, 0);
m1 = _mm_set_epi32(0, 0, 0, (uint32_t)0xffffffff);
m3 = _mm_slli_si128(m1, 8);
m4 = _mm_slli_si128(m3, 4);
s64 = (gf_val_64_t *) rd.s_start;
d64 = (gf_val_64_t *) rd.d_start;
top = (gf_val_64_t *) rd.d_top;
size = bytes/sizeof(gf_val_64_t);
if (xor) {
while (d64 != top) {
a = _mm_load_si128((__m128i *) s64);
result = _mm_clmulepi64_si128 (a, b, 1);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m4), prim_poly, 1);
result = _mm_xor_si128 (result, w);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m3), prim_poly, 1);
r1 = _mm_xor_si128 (result, w);
result = _mm_clmulepi64_si128 (a, b, 0);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m4), prim_poly, 1);
result = _mm_xor_si128 (result, w);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m3), prim_poly, 1);
result = _mm_xor_si128 (result, w);
result = _mm_unpacklo_epi64(result, r1);
r1 = _mm_load_si128((__m128i *) d64);
result = _mm_xor_si128(r1, result);
_mm_store_si128((__m128i *) d64, result);
d64 += 2;
s64 += 2;
}
} else {
while (d64 != top) {
a = _mm_load_si128((__m128i *) s64);
result = _mm_clmulepi64_si128 (a, b, 1);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m4), prim_poly, 1);
result = _mm_xor_si128 (result, w);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m3), prim_poly, 1);
r1 = _mm_xor_si128 (result, w);
result = _mm_clmulepi64_si128 (a, b, 0);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m4), prim_poly, 1);
result = _mm_xor_si128 (result, w);
w = _mm_clmulepi64_si128 (_mm_and_si128(result, m3), prim_poly, 1);
result = _mm_xor_si128 (result, w);
result = _mm_unpacklo_epi64(result, r1);
_mm_store_si128((__m128i *) d64, result);
d64 += 2;
s64 += 2;
}
}
gf_do_final_region_alignment(&rd);
#endif
}
static
inline
gf_val_64_t gf_w64_euclid (gf_t *gf, gf_val_64_t b)
{
gf_val_64_t e_i, e_im1, e_ip1;
gf_val_64_t d_i, d_im1, d_ip1;
gf_val_64_t y_i, y_im1, y_ip1;
gf_val_64_t c_i;
gf_val_64_t one = 1;
if (b == 0) return -1;
e_im1 = ((gf_internal_t *) (gf->scratch))->prim_poly;
e_i = b;
d_im1 = 64;
for (d_i = d_im1-1; ((one << d_i) & e_i) == 0; d_i--) ;
y_i = 1;
y_im1 = 0;
while (e_i != 1) {
e_ip1 = e_im1;
d_ip1 = d_im1;
c_i = 0;
while (d_ip1 >= d_i) {
c_i ^= (one << (d_ip1 - d_i));
e_ip1 ^= (e_i << (d_ip1 - d_i));
d_ip1--;
if (e_ip1 == 0) return 0;
while ((e_ip1 & (one << d_ip1)) == 0) d_ip1--;
}
y_ip1 = y_im1 ^ gf->multiply.w64(gf, c_i, y_i);
y_im1 = y_i;
y_i = y_ip1;
e_im1 = e_i;
d_im1 = d_i;
e_i = e_ip1;
d_i = d_ip1;
}
return y_i;
}
/* JSP: GF_MULT_SHIFT: The world's dumbest multiplication algorithm. I only
include it for completeness. It does have the feature that it requires no
extra memory.
*/
static
inline
gf_val_64_t
gf_w64_shift_multiply (gf_t *gf, gf_val_64_t a64, gf_val_64_t b64)
{
uint64_t pl, pr, ppl, ppr, i, pp, a, bl, br, one, lbit;
gf_internal_t *h;
h = (gf_internal_t *) gf->scratch;
ppr = h->prim_poly;
/* Allen: set leading one of primitive polynomial */
ppl = 1;
a = a64;
bl = 0;
br = b64;
one = 1;
lbit = (one << 63);
pl = 0; /* Allen: left side of product */
pr = 0; /* Allen: right side of product */
/* Allen: unlike the corresponding functions for smaller word sizes,
* this loop carries out the initial carryless multiply by
* shifting b itself rather than simply looking at successively
* higher shifts of b */
for (i = 0; i < GF_FIELD_WIDTH; i++) {
if (a & (one << i)) {
pl ^= bl;
pr ^= br;
}
bl <<= 1;
if (br & lbit) bl ^= 1;
br <<= 1;
}
/* Allen: the name of the variable "one" is no longer descriptive at this point */
one = lbit >> 1;
ppl = (h->prim_poly >> 2) | one;
ppr = (h->prim_poly << (GF_FIELD_WIDTH-2));
while (one != 0) {
if (pl & one) {
pl ^= ppl;
pr ^= ppr;
}
one >>= 1;
ppr >>= 1;
if (ppl & 1) ppr ^= lbit;
ppl >>= 1;
}
return pr;
}
/*
* ELM: Use the Intel carryless multiply instruction to do very fast 64x64 multiply.
*/
static
inline
gf_val_64_t
gf_w64_clm_multiply_2 (gf_t *gf, gf_val_64_t a64, gf_val_64_t b64)
{
gf_val_64_t rv = 0;
#ifdef INTEL_SSE4_PCLMUL
__m128i a, b;
__m128i result;
__m128i prim_poly;
__m128i v, w;
gf_internal_t * h = gf->scratch;
a = _mm_insert_epi64 (_mm_setzero_si128(), a64, 0);
b = _mm_insert_epi64 (a, b64, 0);
prim_poly = _mm_set_epi32(0, 0, 0, (uint32_t)(h->prim_poly & 0xffffffffULL));
/* Do the initial multiply */
result = _mm_clmulepi64_si128 (a, b, 0);
/* Mask off the high order 32 bits using subtraction of the polynomial.
* NOTE: this part requires that the polynomial have at least 32 leading 0 bits.
*/
/* Adam: We cant include the leading one in the 64 bit pclmul,
so we need to split up the high 8 bytes of the result into two
parts before we multiply them with the prim_poly.*/
v = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 0);
w = _mm_clmulepi64_si128 (prim_poly, v, 0);
result = _mm_xor_si128 (result, w);
v = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 1);
w = _mm_clmulepi64_si128 (prim_poly, v, 0);
result = _mm_xor_si128 (result, w);
rv = ((gf_val_64_t)_mm_extract_epi64(result, 0));
#endif
return rv;
}
static
inline
gf_val_64_t
gf_w64_clm_multiply_4 (gf_t *gf, gf_val_64_t a64, gf_val_64_t b64)
{
gf_val_64_t rv = 0;
#ifdef INTEL_SSE4_PCLMUL
__m128i a, b;
__m128i result;
__m128i prim_poly;
__m128i v, w;
gf_internal_t * h = gf->scratch;
a = _mm_insert_epi64 (_mm_setzero_si128(), a64, 0);
b = _mm_insert_epi64 (a, b64, 0);
prim_poly = _mm_set_epi32(0, 0, 0, (uint32_t)(h->prim_poly & 0xffffffffULL));
/* Do the initial multiply */
result = _mm_clmulepi64_si128 (a, b, 0);
v = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 0);
w = _mm_clmulepi64_si128 (prim_poly, v, 0);
result = _mm_xor_si128 (result, w);
v = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 1);
w = _mm_clmulepi64_si128 (prim_poly, v, 0);
result = _mm_xor_si128 (result, w);
v = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 0);
w = _mm_clmulepi64_si128 (prim_poly, v, 0);
result = _mm_xor_si128 (result, w);
v = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 1);
w = _mm_clmulepi64_si128 (prim_poly, v, 0);
result = _mm_xor_si128 (result, w);
rv = ((gf_val_64_t)_mm_extract_epi64(result, 0));
#endif
return rv;
}
void
gf_w64_clm_multiply_region(gf_t *gf, void *src, void *dest, uint64_t val, int bytes, int xor)
{
#ifdef INTEL_SSE4_PCLMUL
gf_internal_t *h;
int i, j, k;
uint8_t *s8, *d8, *dtop;
uint64_t *s64, *d64;
gf_region_data rd;
__m128i v, b, m, prim_poly, c, fr, w, result;
if (val == 0) { gf_multby_zero(dest, bytes, xor); return; }
if (val == 1) { gf_multby_one(src, dest, bytes, xor); return; }
h = (gf_internal_t *) gf->scratch;
gf_set_region_data(&rd, gf, src, dest, bytes, val, xor, 16);
gf_do_initial_region_alignment(&rd);
s8 = (uint8_t *) rd.s_start;
d8 = (uint8_t *) rd.d_start;
dtop = (uint8_t *) rd.d_top;
v = _mm_insert_epi64(_mm_setzero_si128(), val, 0);
m = _mm_set_epi32(0, 0, 0xffffffff, 0xffffffff);
prim_poly = _mm_set_epi32(0, 0, 0, (uint32_t)(h->prim_poly & 0xffffffffULL));
if (xor) {
while (d8 != dtop) {
s64 = (uint64_t *) s8;
b = _mm_load_si128((__m128i *) s8);
result = _mm_clmulepi64_si128 (b, v, 0);
c = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 0);
w = _mm_clmulepi64_si128 (prim_poly, c, 0);
result = _mm_xor_si128 (result, w);
c = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 1);
w = _mm_clmulepi64_si128 (prim_poly, c, 0);
fr = _mm_xor_si128 (result, w);
fr = _mm_and_si128 (fr, m);
result = _mm_clmulepi64_si128 (b, v, 1);
c = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 0);
w = _mm_clmulepi64_si128 (prim_poly, c, 0);
result = _mm_xor_si128 (result, w);
c = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 1);
w = _mm_clmulepi64_si128 (prim_poly, c, 0);
result = _mm_xor_si128 (result, w);
result = _mm_slli_si128 (result, 8);
fr = _mm_xor_si128 (result, fr);
result = _mm_load_si128((__m128i *) d8);
fr = _mm_xor_si128 (result, fr);
_mm_store_si128((__m128i *) d8, fr);
d8 += 16;
s8 += 16;
}
} else {
while (d8 < dtop) {
s64 = (uint64_t *) s8;
b = _mm_load_si128((__m128i *) s8);
result = _mm_clmulepi64_si128 (b, v, 0);
c = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 0);
w = _mm_clmulepi64_si128 (prim_poly, c, 0);
result = _mm_xor_si128 (result, w);
c = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 1);
w = _mm_clmulepi64_si128 (prim_poly, c, 0);
fr = _mm_xor_si128 (result, w);
fr = _mm_and_si128 (fr, m);
result = _mm_clmulepi64_si128 (b, v, 1);
c = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 0);
w = _mm_clmulepi64_si128 (prim_poly, c, 0);
result = _mm_xor_si128 (result, w);
c = _mm_insert_epi32 (_mm_srli_si128 (result, 8), 0, 1);
w = _mm_clmulepi64_si128 (prim_poly, c, 0);
result = _mm_xor_si128 (result, w);
result = _mm_slli_si128 (result, 8);
fr = _mm_xor_si128 (result, fr);
_mm_store_si128((__m128i *) d8, fr);
d8 += 16;
s8 += 16;
}
}
gf_do_final_region_alignment(&rd);
#endif
}
void
gf_w64_split_4_64_lazy_multiply_region(gf_t *gf, void *src, void *dest, uint64_t val, int bytes, int xor)
{
gf_internal_t *h;
struct gf_split_4_64_lazy_data *ld;
int i, j, k;
uint64_t pp, v, s, *s64, *d64, *top;
gf_region_data rd;
if (val == 0) { gf_multby_zero(dest, bytes, xor); return; }
if (val == 1) { gf_multby_one(src, dest, bytes, xor); return; }
h = (gf_internal_t *) gf->scratch;
pp = h->prim_poly;
ld = (struct gf_split_4_64_lazy_data *) h->private;
gf_set_region_data(&rd, gf, src, dest, bytes, val, xor, 8);
gf_do_initial_region_alignment(&rd);
if (ld->last_value != val) {
v = val;
for (i = 0; i < 16; i++) {
ld->tables[i][0] = 0;
for (j = 1; j < 16; j <<= 1) {
for (k = 0; k < j; k++) {
ld->tables[i][k^j] = (v ^ ld->tables[i][k]);
}
v = (v & GF_FIRST_BIT) ? ((v << 1) ^ pp) : (v << 1);
}
}
}
ld->last_value = val;
s64 = (uint64_t *) rd.s_start;
d64 = (uint64_t *) rd.d_start;
top = (uint64_t *) rd.d_top;
while (d64 != top) {
v = (xor) ? *d64 : 0;
s = *s64;
i = 0;
while (s != 0) {
v ^= ld->tables[i][s&0xf];
s >>= 4;
i++;
}
*d64 = v;
d64++;
s64++;
}
gf_do_final_region_alignment(&rd);
}
static
inline
uint64_t
gf_w64_split_8_8_multiply (gf_t *gf, uint64_t a64, uint64_t b64)
{
uint64_t product, i, j, mask, tb;
gf_internal_t *h;
struct gf_split_8_8_data *d8;
h = (gf_internal_t *) gf->scratch;
d8 = (struct gf_split_8_8_data *) h->private;
product = 0;
mask = 0xff;
for (i = 0; a64 != 0; i++) {
tb = b64;
for (j = 0; tb != 0; j++) {
product ^= d8->tables[i+j][a64&mask][tb&mask];
tb >>= 8;
}
a64 >>= 8;
}
return product;
}
void
gf_w64_split_8_64_lazy_multiply_region(gf_t *gf, void *src, void *dest, uint64_t val, int bytes, int xor)
{
gf_internal_t *h;
struct gf_split_8_64_lazy_data *ld;
int i, j, k;
uint64_t pp, v, s, *s64, *d64, *top;
gf_region_data rd;
if (val == 0) { gf_multby_zero(dest, bytes, xor); return; }
if (val == 1) { gf_multby_one(src, dest, bytes, xor); return; }
h = (gf_internal_t *) gf->scratch;
pp = h->prim_poly;
ld = (struct gf_split_8_64_lazy_data *) h->private;
gf_set_region_data(&rd, gf, src, dest, bytes, val, xor, 4);
gf_do_initial_region_alignment(&rd);
if (ld->last_value != val) {
v = val;
for (i = 0; i < 8; i++) {
ld->tables[i][0] = 0;
for (j = 1; j < 256; j <<= 1) {
for (k = 0; k < j; k++) {
ld->tables[i][k^j] = (v ^ ld->tables[i][k]);
}
v = (v & GF_FIRST_BIT) ? ((v << 1) ^ pp) : (v << 1);
}
}
}
ld->last_value = val;
s64 = (uint64_t *) rd.s_start;
d64 = (uint64_t *) rd.d_start;
top = (uint64_t *) rd.d_top;
while (d64 != top) {
v = (xor) ? *d64 : 0;
s = *s64;
i = 0;
while (s != 0) {
v ^= ld->tables[i][s&0xff];
s >>= 8;
i++;
}
*d64 = v;
d64++;
s64++;
}
gf_do_final_region_alignment(&rd);
}
void
gf_w64_split_16_64_lazy_multiply_region(gf_t *gf, void *src, void *dest, uint64_t val, int bytes, int xor)
{
gf_internal_t *h;
struct gf_split_16_64_lazy_data *ld;
int i, j, k;
uint64_t pp, v, s, *s64, *d64, *top;
gf_region_data rd;
if (val == 0) { gf_multby_zero(dest, bytes, xor); return; }
if (val == 1) { gf_multby_one(src, dest, bytes, xor); return; }
h = (gf_internal_t *) gf->scratch;
pp = h->prim_poly;
ld = (struct gf_split_16_64_lazy_data *) h->private;
gf_set_region_data(&rd, gf, src, dest, bytes, val, xor, 4);
gf_do_initial_region_alignment(&rd);
if (ld->last_value != val) {
v = val;
for (i = 0; i < 4; i++) {
ld->tables[i][0] = 0;
for (j = 1; j < (1<<16); j <<= 1) {
for (k = 0; k < j; k++) {
ld->tables[i][k^j] = (v ^ ld->tables[i][k]);
}
v = (v & GF_FIRST_BIT) ? ((v << 1) ^ pp) : (v << 1);
}
}
}
ld->last_value = val;
s64 = (uint64_t *) rd.s_start;
d64 = (uint64_t *) rd.d_start;
top = (uint64_t *) rd.d_top;
while (d64 != top) {
v = (xor) ? *d64 : 0;
s = *s64;
i = 0;
while (s != 0) {
v ^= ld->tables[i][s&0xffff];
s >>= 16;
i++;
}
*d64 = v;
d64++;
s64++;
}
gf_do_final_region_alignment(&rd);
}
static
int gf_w64_shift_init(gf_t *gf)
{
gf_internal_t *h;
gf->multiply.w64 = gf_w64_shift_multiply;
gf->inverse.w64 = gf_w64_euclid;
gf->multiply_region.w64 = gf_w64_multiply_region_from_single;
return 1;
}
static
int gf_w64_cfm_init(gf_t *gf)
{
gf_internal_t *h;
h = (gf_internal_t *) gf->scratch;
gf->inverse.w64 = gf_w64_euclid;
gf->multiply_region.w64 = gf_w64_multiply_region_from_single;
#ifdef INTEL_SSE4_PCLMUL
if ((0xfffffffe00000000ULL & h->prim_poly) == 0){
gf->multiply.w64 = gf_w64_clm_multiply_2;
gf->multiply_region.w64 = gf_w64_clm_multiply_region_from_single_2;
}else if((0xfffe000000000000ULL & h->prim_poly) == 0){
gf->multiply.w64 = gf_w64_clm_multiply_4;
gf->multiply_region.w64 = gf_w64_clm_multiply_region_from_single_4;
} else {
return 0;
}
return 1;
#endif
return 0;
}
static
void
gf_w64_group_set_shift_tables(uint64_t *shift, uint64_t val, gf_internal_t *h)
{
int i;
uint64_t j;
uint64_t one = 1;
int g_s;
g_s = h->arg1;
shift[0] = 0;
for (i = 1; i < (1 << g_s); i <<= 1) {
for (j = 0; j < i; j++) shift[i|j] = shift[j]^val;
if (val & (one << 63)) {
val <<= 1;
val ^= h->prim_poly;
} else {
val <<= 1;
}
}
}
static
inline
gf_val_64_t
gf_w64_group_multiply(gf_t *gf, gf_val_64_t a, gf_val_64_t b)
{
int i;
uint64_t top, bot, mask, tp;
int g_s, g_r, lshift, rshift;
struct gf_w64_group_data *gd;
gf_internal_t *h = (gf_internal_t *) gf->scratch;
g_s = h->arg1;
g_r = h->arg2;
gd = (struct gf_w64_group_data *) h->private;
gf_w64_group_set_shift_tables(gd->shift, b, h);
mask = ((1 << g_s) - 1);
top = 0;
bot = gd->shift[a&mask];
a >>= g_s;
if (a == 0) return bot;
lshift = 0;
rshift = 64;
do { /* Shifting out is straightfoward */
lshift += g_s;
rshift -= g_s;
tp = gd->shift[a&mask];
top ^= (tp >> rshift);
bot ^= (tp << lshift);
a >>= g_s;
} while (a != 0);
/* Reducing is a bit gross, because I don't zero out the index bits of top.
The reason is that we throw top away. Even better, that last (tp >> rshift)
is going to be ignored, so it doesn't matter how (tp >> 64) is implemented. */
lshift = ((lshift-1) / g_r) * g_r;
rshift = 64 - lshift;
mask = (1 << g_r) - 1;
while (lshift >= 0) {
tp = gd->reduce[(top >> lshift) & mask];
top ^= (tp >> rshift);
bot ^= (tp << lshift);
lshift -= g_r;
rshift += g_r;
}
return bot;
}
static
void gf_w64_group_multiply_region(gf_t *gf, void *src, void *dest, gf_val_64_t val, int bytes, int xor)
{
int i, fzb;
uint64_t a64, smask, rmask, top, bot, tp, one;
int lshift, rshift, g_s, g_r;
gf_region_data rd;
uint64_t *s64, *d64, *dtop;
struct gf_w64_group_data *gd;
gf_internal_t *h = (gf_internal_t *) gf->scratch;
if (val == 0) { gf_multby_zero(dest, bytes, xor); return; }
if (val == 1) { gf_multby_one(src, dest, bytes, xor); return; }
gd = (struct gf_w64_group_data *) h->private;
g_s = h->arg1;
g_r = h->arg2;
gf_w64_group_set_shift_tables(gd->shift, val, h);
for (i = 63; !(val & (1ULL << i)); i--) ;
i += g_s;
/* i is the bit position of the first zero bit in any element of
gd->shift[] */
if (i > 64) i = 64;
fzb = i;
gf_set_region_data(&rd, gf, src, dest, bytes, val, xor, 4);
gf_do_initial_region_alignment(&rd);
s64 = (uint64_t *) rd.s_start;
d64 = (uint64_t *) rd.d_start;
dtop = (uint64_t *) rd.d_top;
smask = (1 << g_s) - 1;
rmask = (1 << g_r) - 1;
while (d64 < dtop) {
a64 = *s64;
top = 0;
bot = gd->shift[a64&smask];
a64 >>= g_s;
i = fzb;
if (a64 != 0) {
lshift = 0;
rshift = 64;
do {
lshift += g_s;
rshift -= g_s;
tp = gd->shift[a64&smask];
top ^= (tp >> rshift);
bot ^= (tp << lshift);
a64 >>= g_s;
} while (a64 != 0);
i += lshift;
lshift = ((i-64-1) / g_r) * g_r;
rshift = 64 - lshift;
while (lshift >= 0) {
tp = gd->reduce[(top >> lshift) & rmask];
top ^= (tp >> rshift);
bot ^= (tp << lshift);
lshift -= g_r;
rshift += g_r;
}
}
if (xor) bot ^= *d64;
*d64 = bot;
d64++;
s64++;
}
gf_do_final_region_alignment(&rd);
}
static
inline
gf_val_64_t
gf_w64_group_s_equals_r_multiply(gf_t *gf, gf_val_64_t a, gf_val_64_t b)
{
int i;
int leftover, rs;
uint64_t p, l, ind, r, a64;
int bits_left;
int g_s;
struct gf_w64_group_data *gd;
gf_internal_t *h = (gf_internal_t *) gf->scratch;
g_s = h->arg1;
gd = (struct gf_w64_group_data *) h->private;
gf_w64_group_set_shift_tables(gd->shift, b, h);
leftover = 64 % g_s;
if (leftover == 0) leftover = g_s;
rs = 64 - leftover;
a64 = a;
ind = a64 >> rs;
a64 <<= leftover;
p = gd->shift[ind];
bits_left = rs;
rs = 64 - g_s;
while (bits_left > 0) {
bits_left -= g_s;
ind = a64 >> rs;
a64 <<= g_s;
l = p >> rs;
p = (gd->shift[ind] ^ gd->reduce[l] ^ (p << g_s));
}
return p;
}
static
void gf_w64_group_s_equals_r_multiply_region(gf_t *gf, void *src, void *dest, gf_val_64_t val, int bytes, int xor)
{
int i;
int leftover, rs;
uint64_t p, l, ind, r, a64;
int bits_left;
int g_s;
gf_region_data rd;
uint64_t *s64, *d64, *top;
struct gf_w64_group_data *gd;
gf_internal_t *h = (gf_internal_t *) gf->scratch;
if (val == 0) { gf_multby_zero(dest, bytes, xor); return; }
if (val == 1) { gf_multby_one(src, dest, bytes, xor); return; }
gd = (struct gf_w64_group_data *) h->private;
g_s = h->arg1;
gf_w64_group_set_shift_tables(gd->shift, val, h);
gf_set_region_data(&rd, gf, src, dest, bytes, val, xor, 4);
gf_do_initial_region_alignment(&rd);
s64 = (uint64_t *) rd.s_start;
d64 = (uint64_t *) rd.d_start;
top = (uint64_t *) rd.d_top;