bd275702d2
Also replace a pointless call to bn_mul_words with a memset. Change-Id: Ief30ddab0e84864561b73fe2776bd0477931cf7f Reviewed-on: https://boringssl-review.googlesource.com/23066 Reviewed-by: Adam Langley <agl@google.com>
539 lines
16 KiB
C
539 lines
16 KiB
C
/* x86_64 BIGNUM accelerator version 0.1, December 2002.
|
|
*
|
|
* Implemented by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
|
|
* project.
|
|
*
|
|
* Rights for redistribution and usage in source and binary forms are
|
|
* granted according to the OpenSSL license. Warranty of any kind is
|
|
* disclaimed.
|
|
*
|
|
* Q. Version 0.1? It doesn't sound like Andy, he used to assign real
|
|
* versions, like 1.0...
|
|
* A. Well, that's because this code is basically a quick-n-dirty
|
|
* proof-of-concept hack. As you can see it's implemented with
|
|
* inline assembler, which means that you're bound to GCC and that
|
|
* there might be enough room for further improvement.
|
|
*
|
|
* Q. Why inline assembler?
|
|
* A. x86_64 features own ABI which I'm not familiar with. This is
|
|
* why I decided to let the compiler take care of subroutine
|
|
* prologue/epilogue as well as register allocation. For reference.
|
|
* Win64 implements different ABI for AMD64, different from Linux.
|
|
*
|
|
* Q. How much faster does it get?
|
|
* A. 'apps/openssl speed rsa dsa' output with no-asm:
|
|
*
|
|
* sign verify sign/s verify/s
|
|
* rsa 512 bits 0.0006s 0.0001s 1683.8 18456.2
|
|
* rsa 1024 bits 0.0028s 0.0002s 356.0 6407.0
|
|
* rsa 2048 bits 0.0172s 0.0005s 58.0 1957.8
|
|
* rsa 4096 bits 0.1155s 0.0018s 8.7 555.6
|
|
* sign verify sign/s verify/s
|
|
* dsa 512 bits 0.0005s 0.0006s 2100.8 1768.3
|
|
* dsa 1024 bits 0.0014s 0.0018s 692.3 559.2
|
|
* dsa 2048 bits 0.0049s 0.0061s 204.7 165.0
|
|
*
|
|
* 'apps/openssl speed rsa dsa' output with this module:
|
|
*
|
|
* sign verify sign/s verify/s
|
|
* rsa 512 bits 0.0004s 0.0000s 2767.1 33297.9
|
|
* rsa 1024 bits 0.0012s 0.0001s 867.4 14674.7
|
|
* rsa 2048 bits 0.0061s 0.0002s 164.0 5270.0
|
|
* rsa 4096 bits 0.0384s 0.0006s 26.1 1650.8
|
|
* sign verify sign/s verify/s
|
|
* dsa 512 bits 0.0002s 0.0003s 4442.2 3786.3
|
|
* dsa 1024 bits 0.0005s 0.0007s 1835.1 1497.4
|
|
* dsa 2048 bits 0.0016s 0.0020s 620.4 504.6
|
|
*
|
|
* For the reference. IA-32 assembler implementation performs
|
|
* very much like 64-bit code compiled with no-asm on the same
|
|
* machine.
|
|
*/
|
|
|
|
#include <openssl/bn.h>
|
|
|
|
// TODO(davidben): Get this file working on Windows x64.
|
|
#if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64) && defined(__GNUC__)
|
|
|
|
#include "../internal.h"
|
|
|
|
|
|
#undef mul
|
|
#undef mul_add
|
|
|
|
// "m"(a), "+m"(r) is the way to favor DirectPath µ-code;
|
|
// "g"(0) let the compiler to decide where does it
|
|
// want to keep the value of zero;
|
|
#define mul_add(r, a, word, carry) \
|
|
do { \
|
|
register BN_ULONG high, low; \
|
|
__asm__("mulq %3" : "=a"(low), "=d"(high) : "a"(word), "m"(a) : "cc"); \
|
|
__asm__("addq %2,%0; adcq %3,%1" \
|
|
: "+r"(carry), "+d"(high) \
|
|
: "a"(low), "g"(0) \
|
|
: "cc"); \
|
|
__asm__("addq %2,%0; adcq %3,%1" \
|
|
: "+m"(r), "+d"(high) \
|
|
: "r"(carry), "g"(0) \
|
|
: "cc"); \
|
|
(carry) = high; \
|
|
} while (0)
|
|
|
|
#define mul(r, a, word, carry) \
|
|
do { \
|
|
register BN_ULONG high, low; \
|
|
__asm__("mulq %3" : "=a"(low), "=d"(high) : "a"(word), "g"(a) : "cc"); \
|
|
__asm__("addq %2,%0; adcq %3,%1" \
|
|
: "+r"(carry), "+d"(high) \
|
|
: "a"(low), "g"(0) \
|
|
: "cc"); \
|
|
(r) = (carry); \
|
|
(carry) = high; \
|
|
} while (0)
|
|
#undef sqr
|
|
#define sqr(r0, r1, a) __asm__("mulq %2" : "=a"(r0), "=d"(r1) : "a"(a) : "cc");
|
|
|
|
BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, size_t num,
|
|
BN_ULONG w) {
|
|
BN_ULONG c1 = 0;
|
|
|
|
if (num == 0) {
|
|
return (c1);
|
|
}
|
|
|
|
while (num & ~3) {
|
|
mul_add(rp[0], ap[0], w, c1);
|
|
mul_add(rp[1], ap[1], w, c1);
|
|
mul_add(rp[2], ap[2], w, c1);
|
|
mul_add(rp[3], ap[3], w, c1);
|
|
ap += 4;
|
|
rp += 4;
|
|
num -= 4;
|
|
}
|
|
if (num) {
|
|
mul_add(rp[0], ap[0], w, c1);
|
|
if (--num == 0) {
|
|
return c1;
|
|
}
|
|
mul_add(rp[1], ap[1], w, c1);
|
|
if (--num == 0) {
|
|
return c1;
|
|
}
|
|
mul_add(rp[2], ap[2], w, c1);
|
|
return c1;
|
|
}
|
|
|
|
return c1;
|
|
}
|
|
|
|
BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, size_t num,
|
|
BN_ULONG w) {
|
|
BN_ULONG c1 = 0;
|
|
|
|
if (num == 0) {
|
|
return c1;
|
|
}
|
|
|
|
while (num & ~3) {
|
|
mul(rp[0], ap[0], w, c1);
|
|
mul(rp[1], ap[1], w, c1);
|
|
mul(rp[2], ap[2], w, c1);
|
|
mul(rp[3], ap[3], w, c1);
|
|
ap += 4;
|
|
rp += 4;
|
|
num -= 4;
|
|
}
|
|
if (num) {
|
|
mul(rp[0], ap[0], w, c1);
|
|
if (--num == 0) {
|
|
return c1;
|
|
}
|
|
mul(rp[1], ap[1], w, c1);
|
|
if (--num == 0) {
|
|
return c1;
|
|
}
|
|
mul(rp[2], ap[2], w, c1);
|
|
}
|
|
return c1;
|
|
}
|
|
|
|
void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, size_t n) {
|
|
if (n == 0) {
|
|
return;
|
|
}
|
|
|
|
while (n & ~3) {
|
|
sqr(r[0], r[1], a[0]);
|
|
sqr(r[2], r[3], a[1]);
|
|
sqr(r[4], r[5], a[2]);
|
|
sqr(r[6], r[7], a[3]);
|
|
a += 4;
|
|
r += 8;
|
|
n -= 4;
|
|
}
|
|
if (n) {
|
|
sqr(r[0], r[1], a[0]);
|
|
if (--n == 0) {
|
|
return;
|
|
}
|
|
sqr(r[2], r[3], a[1]);
|
|
if (--n == 0) {
|
|
return;
|
|
}
|
|
sqr(r[4], r[5], a[2]);
|
|
}
|
|
}
|
|
|
|
BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
|
|
size_t n) {
|
|
BN_ULONG ret;
|
|
size_t i = 0;
|
|
|
|
if (n == 0) {
|
|
return 0;
|
|
}
|
|
|
|
__asm__ volatile (
|
|
" subq %0,%0 \n" // clear carry
|
|
" jmp 1f \n"
|
|
".p2align 4 \n"
|
|
"1:"
|
|
" movq (%4,%2,8),%0 \n"
|
|
" adcq (%5,%2,8),%0 \n"
|
|
" movq %0,(%3,%2,8) \n"
|
|
" lea 1(%2),%2 \n"
|
|
" loop 1b \n"
|
|
" sbbq %0,%0 \n"
|
|
: "=&r"(ret), "+c"(n), "+r"(i)
|
|
: "r"(rp), "r"(ap), "r"(bp)
|
|
: "cc", "memory");
|
|
|
|
return ret & 1;
|
|
}
|
|
|
|
BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
|
|
size_t n) {
|
|
BN_ULONG ret;
|
|
size_t i = 0;
|
|
|
|
if (n == 0) {
|
|
return 0;
|
|
}
|
|
|
|
__asm__ volatile (
|
|
" subq %0,%0 \n" // clear borrow
|
|
" jmp 1f \n"
|
|
".p2align 4 \n"
|
|
"1:"
|
|
" movq (%4,%2,8),%0 \n"
|
|
" sbbq (%5,%2,8),%0 \n"
|
|
" movq %0,(%3,%2,8) \n"
|
|
" lea 1(%2),%2 \n"
|
|
" loop 1b \n"
|
|
" sbbq %0,%0 \n"
|
|
: "=&r"(ret), "+c"(n), "+r"(i)
|
|
: "r"(rp), "r"(ap), "r"(bp)
|
|
: "cc", "memory");
|
|
|
|
return ret & 1;
|
|
}
|
|
|
|
// mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0)
|
|
// mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0)
|
|
// sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0)
|
|
// sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0)
|
|
|
|
// Keep in mind that carrying into high part of multiplication result can not
|
|
// overflow, because it cannot be all-ones.
|
|
#define mul_add_c(a, b, c0, c1, c2) \
|
|
do { \
|
|
BN_ULONG t1, t2; \
|
|
__asm__("mulq %3" : "=a"(t1), "=d"(t2) : "a"(a), "m"(b) : "cc"); \
|
|
__asm__("addq %3,%0; adcq %4,%1; adcq %5,%2" \
|
|
: "+r"(c0), "+r"(c1), "+r"(c2) \
|
|
: "r"(t1), "r"(t2), "g"(0) \
|
|
: "cc"); \
|
|
} while (0)
|
|
|
|
#define sqr_add_c(a, i, c0, c1, c2) \
|
|
do { \
|
|
BN_ULONG t1, t2; \
|
|
__asm__("mulq %2" : "=a"(t1), "=d"(t2) : "a"((a)[i]) : "cc"); \
|
|
__asm__("addq %3,%0; adcq %4,%1; adcq %5,%2" \
|
|
: "+r"(c0), "+r"(c1), "+r"(c2) \
|
|
: "r"(t1), "r"(t2), "g"(0) \
|
|
: "cc"); \
|
|
} while (0)
|
|
|
|
#define mul_add_c2(a, b, c0, c1, c2) \
|
|
do { \
|
|
BN_ULONG t1, t2; \
|
|
__asm__("mulq %3" : "=a"(t1), "=d"(t2) : "a"(a), "m"(b) : "cc"); \
|
|
__asm__("addq %3,%0; adcq %4,%1; adcq %5,%2" \
|
|
: "+r"(c0), "+r"(c1), "+r"(c2) \
|
|
: "r"(t1), "r"(t2), "g"(0) \
|
|
: "cc"); \
|
|
__asm__("addq %3,%0; adcq %4,%1; adcq %5,%2" \
|
|
: "+r"(c0), "+r"(c1), "+r"(c2) \
|
|
: "r"(t1), "r"(t2), "g"(0) \
|
|
: "cc"); \
|
|
} while (0)
|
|
|
|
#define sqr_add_c2(a, i, j, c0, c1, c2) mul_add_c2((a)[i], (a)[j], c0, c1, c2)
|
|
|
|
void bn_mul_comba8(BN_ULONG r[16], BN_ULONG a[8], BN_ULONG b[8]) {
|
|
BN_ULONG c1, c2, c3;
|
|
|
|
c1 = 0;
|
|
c2 = 0;
|
|
c3 = 0;
|
|
mul_add_c(a[0], b[0], c1, c2, c3);
|
|
r[0] = c1;
|
|
c1 = 0;
|
|
mul_add_c(a[0], b[1], c2, c3, c1);
|
|
mul_add_c(a[1], b[0], c2, c3, c1);
|
|
r[1] = c2;
|
|
c2 = 0;
|
|
mul_add_c(a[2], b[0], c3, c1, c2);
|
|
mul_add_c(a[1], b[1], c3, c1, c2);
|
|
mul_add_c(a[0], b[2], c3, c1, c2);
|
|
r[2] = c3;
|
|
c3 = 0;
|
|
mul_add_c(a[0], b[3], c1, c2, c3);
|
|
mul_add_c(a[1], b[2], c1, c2, c3);
|
|
mul_add_c(a[2], b[1], c1, c2, c3);
|
|
mul_add_c(a[3], b[0], c1, c2, c3);
|
|
r[3] = c1;
|
|
c1 = 0;
|
|
mul_add_c(a[4], b[0], c2, c3, c1);
|
|
mul_add_c(a[3], b[1], c2, c3, c1);
|
|
mul_add_c(a[2], b[2], c2, c3, c1);
|
|
mul_add_c(a[1], b[3], c2, c3, c1);
|
|
mul_add_c(a[0], b[4], c2, c3, c1);
|
|
r[4] = c2;
|
|
c2 = 0;
|
|
mul_add_c(a[0], b[5], c3, c1, c2);
|
|
mul_add_c(a[1], b[4], c3, c1, c2);
|
|
mul_add_c(a[2], b[3], c3, c1, c2);
|
|
mul_add_c(a[3], b[2], c3, c1, c2);
|
|
mul_add_c(a[4], b[1], c3, c1, c2);
|
|
mul_add_c(a[5], b[0], c3, c1, c2);
|
|
r[5] = c3;
|
|
c3 = 0;
|
|
mul_add_c(a[6], b[0], c1, c2, c3);
|
|
mul_add_c(a[5], b[1], c1, c2, c3);
|
|
mul_add_c(a[4], b[2], c1, c2, c3);
|
|
mul_add_c(a[3], b[3], c1, c2, c3);
|
|
mul_add_c(a[2], b[4], c1, c2, c3);
|
|
mul_add_c(a[1], b[5], c1, c2, c3);
|
|
mul_add_c(a[0], b[6], c1, c2, c3);
|
|
r[6] = c1;
|
|
c1 = 0;
|
|
mul_add_c(a[0], b[7], c2, c3, c1);
|
|
mul_add_c(a[1], b[6], c2, c3, c1);
|
|
mul_add_c(a[2], b[5], c2, c3, c1);
|
|
mul_add_c(a[3], b[4], c2, c3, c1);
|
|
mul_add_c(a[4], b[3], c2, c3, c1);
|
|
mul_add_c(a[5], b[2], c2, c3, c1);
|
|
mul_add_c(a[6], b[1], c2, c3, c1);
|
|
mul_add_c(a[7], b[0], c2, c3, c1);
|
|
r[7] = c2;
|
|
c2 = 0;
|
|
mul_add_c(a[7], b[1], c3, c1, c2);
|
|
mul_add_c(a[6], b[2], c3, c1, c2);
|
|
mul_add_c(a[5], b[3], c3, c1, c2);
|
|
mul_add_c(a[4], b[4], c3, c1, c2);
|
|
mul_add_c(a[3], b[5], c3, c1, c2);
|
|
mul_add_c(a[2], b[6], c3, c1, c2);
|
|
mul_add_c(a[1], b[7], c3, c1, c2);
|
|
r[8] = c3;
|
|
c3 = 0;
|
|
mul_add_c(a[2], b[7], c1, c2, c3);
|
|
mul_add_c(a[3], b[6], c1, c2, c3);
|
|
mul_add_c(a[4], b[5], c1, c2, c3);
|
|
mul_add_c(a[5], b[4], c1, c2, c3);
|
|
mul_add_c(a[6], b[3], c1, c2, c3);
|
|
mul_add_c(a[7], b[2], c1, c2, c3);
|
|
r[9] = c1;
|
|
c1 = 0;
|
|
mul_add_c(a[7], b[3], c2, c3, c1);
|
|
mul_add_c(a[6], b[4], c2, c3, c1);
|
|
mul_add_c(a[5], b[5], c2, c3, c1);
|
|
mul_add_c(a[4], b[6], c2, c3, c1);
|
|
mul_add_c(a[3], b[7], c2, c3, c1);
|
|
r[10] = c2;
|
|
c2 = 0;
|
|
mul_add_c(a[4], b[7], c3, c1, c2);
|
|
mul_add_c(a[5], b[6], c3, c1, c2);
|
|
mul_add_c(a[6], b[5], c3, c1, c2);
|
|
mul_add_c(a[7], b[4], c3, c1, c2);
|
|
r[11] = c3;
|
|
c3 = 0;
|
|
mul_add_c(a[7], b[5], c1, c2, c3);
|
|
mul_add_c(a[6], b[6], c1, c2, c3);
|
|
mul_add_c(a[5], b[7], c1, c2, c3);
|
|
r[12] = c1;
|
|
c1 = 0;
|
|
mul_add_c(a[6], b[7], c2, c3, c1);
|
|
mul_add_c(a[7], b[6], c2, c3, c1);
|
|
r[13] = c2;
|
|
c2 = 0;
|
|
mul_add_c(a[7], b[7], c3, c1, c2);
|
|
r[14] = c3;
|
|
r[15] = c1;
|
|
}
|
|
|
|
void bn_mul_comba4(BN_ULONG r[8], BN_ULONG a[4], BN_ULONG b[4]) {
|
|
BN_ULONG c1, c2, c3;
|
|
|
|
c1 = 0;
|
|
c2 = 0;
|
|
c3 = 0;
|
|
mul_add_c(a[0], b[0], c1, c2, c3);
|
|
r[0] = c1;
|
|
c1 = 0;
|
|
mul_add_c(a[0], b[1], c2, c3, c1);
|
|
mul_add_c(a[1], b[0], c2, c3, c1);
|
|
r[1] = c2;
|
|
c2 = 0;
|
|
mul_add_c(a[2], b[0], c3, c1, c2);
|
|
mul_add_c(a[1], b[1], c3, c1, c2);
|
|
mul_add_c(a[0], b[2], c3, c1, c2);
|
|
r[2] = c3;
|
|
c3 = 0;
|
|
mul_add_c(a[0], b[3], c1, c2, c3);
|
|
mul_add_c(a[1], b[2], c1, c2, c3);
|
|
mul_add_c(a[2], b[1], c1, c2, c3);
|
|
mul_add_c(a[3], b[0], c1, c2, c3);
|
|
r[3] = c1;
|
|
c1 = 0;
|
|
mul_add_c(a[3], b[1], c2, c3, c1);
|
|
mul_add_c(a[2], b[2], c2, c3, c1);
|
|
mul_add_c(a[1], b[3], c2, c3, c1);
|
|
r[4] = c2;
|
|
c2 = 0;
|
|
mul_add_c(a[2], b[3], c3, c1, c2);
|
|
mul_add_c(a[3], b[2], c3, c1, c2);
|
|
r[5] = c3;
|
|
c3 = 0;
|
|
mul_add_c(a[3], b[3], c1, c2, c3);
|
|
r[6] = c1;
|
|
r[7] = c2;
|
|
}
|
|
|
|
void bn_sqr_comba8(BN_ULONG r[16], const BN_ULONG a[8]) {
|
|
BN_ULONG c1, c2, c3;
|
|
|
|
c1 = 0;
|
|
c2 = 0;
|
|
c3 = 0;
|
|
sqr_add_c(a, 0, c1, c2, c3);
|
|
r[0] = c1;
|
|
c1 = 0;
|
|
sqr_add_c2(a, 1, 0, c2, c3, c1);
|
|
r[1] = c2;
|
|
c2 = 0;
|
|
sqr_add_c(a, 1, c3, c1, c2);
|
|
sqr_add_c2(a, 2, 0, c3, c1, c2);
|
|
r[2] = c3;
|
|
c3 = 0;
|
|
sqr_add_c2(a, 3, 0, c1, c2, c3);
|
|
sqr_add_c2(a, 2, 1, c1, c2, c3);
|
|
r[3] = c1;
|
|
c1 = 0;
|
|
sqr_add_c(a, 2, c2, c3, c1);
|
|
sqr_add_c2(a, 3, 1, c2, c3, c1);
|
|
sqr_add_c2(a, 4, 0, c2, c3, c1);
|
|
r[4] = c2;
|
|
c2 = 0;
|
|
sqr_add_c2(a, 5, 0, c3, c1, c2);
|
|
sqr_add_c2(a, 4, 1, c3, c1, c2);
|
|
sqr_add_c2(a, 3, 2, c3, c1, c2);
|
|
r[5] = c3;
|
|
c3 = 0;
|
|
sqr_add_c(a, 3, c1, c2, c3);
|
|
sqr_add_c2(a, 4, 2, c1, c2, c3);
|
|
sqr_add_c2(a, 5, 1, c1, c2, c3);
|
|
sqr_add_c2(a, 6, 0, c1, c2, c3);
|
|
r[6] = c1;
|
|
c1 = 0;
|
|
sqr_add_c2(a, 7, 0, c2, c3, c1);
|
|
sqr_add_c2(a, 6, 1, c2, c3, c1);
|
|
sqr_add_c2(a, 5, 2, c2, c3, c1);
|
|
sqr_add_c2(a, 4, 3, c2, c3, c1);
|
|
r[7] = c2;
|
|
c2 = 0;
|
|
sqr_add_c(a, 4, c3, c1, c2);
|
|
sqr_add_c2(a, 5, 3, c3, c1, c2);
|
|
sqr_add_c2(a, 6, 2, c3, c1, c2);
|
|
sqr_add_c2(a, 7, 1, c3, c1, c2);
|
|
r[8] = c3;
|
|
c3 = 0;
|
|
sqr_add_c2(a, 7, 2, c1, c2, c3);
|
|
sqr_add_c2(a, 6, 3, c1, c2, c3);
|
|
sqr_add_c2(a, 5, 4, c1, c2, c3);
|
|
r[9] = c1;
|
|
c1 = 0;
|
|
sqr_add_c(a, 5, c2, c3, c1);
|
|
sqr_add_c2(a, 6, 4, c2, c3, c1);
|
|
sqr_add_c2(a, 7, 3, c2, c3, c1);
|
|
r[10] = c2;
|
|
c2 = 0;
|
|
sqr_add_c2(a, 7, 4, c3, c1, c2);
|
|
sqr_add_c2(a, 6, 5, c3, c1, c2);
|
|
r[11] = c3;
|
|
c3 = 0;
|
|
sqr_add_c(a, 6, c1, c2, c3);
|
|
sqr_add_c2(a, 7, 5, c1, c2, c3);
|
|
r[12] = c1;
|
|
c1 = 0;
|
|
sqr_add_c2(a, 7, 6, c2, c3, c1);
|
|
r[13] = c2;
|
|
c2 = 0;
|
|
sqr_add_c(a, 7, c3, c1, c2);
|
|
r[14] = c3;
|
|
r[15] = c1;
|
|
}
|
|
|
|
void bn_sqr_comba4(BN_ULONG r[8], const BN_ULONG a[4]) {
|
|
BN_ULONG c1, c2, c3;
|
|
|
|
c1 = 0;
|
|
c2 = 0;
|
|
c3 = 0;
|
|
sqr_add_c(a, 0, c1, c2, c3);
|
|
r[0] = c1;
|
|
c1 = 0;
|
|
sqr_add_c2(a, 1, 0, c2, c3, c1);
|
|
r[1] = c2;
|
|
c2 = 0;
|
|
sqr_add_c(a, 1, c3, c1, c2);
|
|
sqr_add_c2(a, 2, 0, c3, c1, c2);
|
|
r[2] = c3;
|
|
c3 = 0;
|
|
sqr_add_c2(a, 3, 0, c1, c2, c3);
|
|
sqr_add_c2(a, 2, 1, c1, c2, c3);
|
|
r[3] = c1;
|
|
c1 = 0;
|
|
sqr_add_c(a, 2, c2, c3, c1);
|
|
sqr_add_c2(a, 3, 1, c2, c3, c1);
|
|
r[4] = c2;
|
|
c2 = 0;
|
|
sqr_add_c2(a, 3, 2, c3, c1, c2);
|
|
r[5] = c3;
|
|
c3 = 0;
|
|
sqr_add_c(a, 3, c1, c2, c3);
|
|
r[6] = c1;
|
|
r[7] = c2;
|
|
}
|
|
|
|
#undef mul_add
|
|
#undef mul
|
|
#undef sqr
|
|
#undef mul_add_c
|
|
#undef sqr_add_c
|
|
#undef mul_add_c2
|
|
#undef sqr_add_c2
|
|
|
|
#endif // !NO_ASM && X86_64 && __GNUC__
|