633 lines
18 KiB
C
633 lines
18 KiB
C
|
#include "../bn_lcl.h"
|
||
|
|
#if !(defined(__GNUC__) && __GNUC__>=2)
|
||
|
|
# include "../bn_asm.c" /* kind of dirty hack for Sun Studio */
|
||
|
|
#else
|
||
|
|
/*-
|
||
|
|
* 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.
|
||
|
|
*/
|
||
|
|
|
||
|
|
# 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, int 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, int 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, int 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_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
|
||
|
|
{
|
||
|
|
BN_ULONG ret, waste;
|
||
|
|
|
||
|
|
asm("divq %4":"=a"(ret), "=d"(waste)
|
||
|
|
: "a"(l), "d"(h), "r"(d)
|
||
|
|
: "cc");
|
||
|
|
|
||
|
|
return ret;
|
||
|
|
}
|
||
|
|
|
||
|
|
BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
|
||
|
|
int 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;
|
||
|
|
}
|
||
|
|
|
||
|
|
# ifndef SIMICS
|
||
|
|
BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
|
||
|
|
int 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;
|
||
|
|
}
|
||
|
|
# else
|
||
|
|
/* Simics 1.4<7 has buggy sbbq:-( */
|
||
|
|
# define BN_MASK2 0xffffffffffffffffL
|
||
|
|
BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
|
||
|
|
{
|
||
|
|
BN_ULONG t1, t2;
|
||
|
|
int c = 0;
|
||
|
|
|
||
|
|
if (n <= 0)
|
||
|
|
return ((BN_ULONG)0);
|
||
|
|
|
||
|
|
for (;;) {
|
||
|
|
t1 = a[0];
|
||
|
|
t2 = b[0];
|
||
|
|
r[0] = (t1 - t2 - c) & BN_MASK2;
|
||
|
|
if (t1 != t2)
|
||
|
|
c = (t1 < t2);
|
||
|
|
if (--n <= 0)
|
||
|
|
break;
|
||
|
|
|
||
|
|
t1 = a[1];
|
||
|
|
t2 = b[1];
|
||
|
|
r[1] = (t1 - t2 - c) & BN_MASK2;
|
||
|
|
if (t1 != t2)
|
||
|
|
c = (t1 < t2);
|
||
|
|
if (--n <= 0)
|
||
|
|
break;
|
||
|
|
|
||
|
|
t1 = a[2];
|
||
|
|
t2 = b[2];
|
||
|
|
r[2] = (t1 - t2 - c) & BN_MASK2;
|
||
|
|
if (t1 != t2)
|
||
|
|
c = (t1 < t2);
|
||
|
|
if (--n <= 0)
|
||
|
|
break;
|
||
|
|
|
||
|
|
t1 = a[3];
|
||
|
|
t2 = b[3];
|
||
|
|
r[3] = (t1 - t2 - c) & BN_MASK2;
|
||
|
|
if (t1 != t2)
|
||
|
|
c = (t1 < t2);
|
||
|
|
if (--n <= 0)
|
||
|
|
break;
|
||
|
|
|
||
|
|
a += 4;
|
||
|
|
b += 4;
|
||
|
|
r += 4;
|
||
|
|
}
|
||
|
|
return (c);
|
||
|
|
}
|
||
|
|
# endif
|
||
|
|
|
||
|
|
/* 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.
|
||
|
|
*/
|
||
|
|
# if 0
|
||
|
|
/* original macros are kept for reference purposes */
|
||
|
|
# define mul_add_c(a,b,c0,c1,c2) do { \
|
||
|
|
BN_ULONG ta = (a), tb = (b); \
|
||
|
|
BN_ULONG lo, hi; \
|
||
|
|
BN_UMULT_LOHI(lo,hi,ta,tb); \
|
||
|
|
c0 += lo; hi += (c0<lo)?1:0; \
|
||
|
|
c1 += hi; c2 += (c1<hi)?1:0; \
|
||
|
|
} while(0)
|
||
|
|
|
||
|
|
# define mul_add_c2(a,b,c0,c1,c2) do { \
|
||
|
|
BN_ULONG ta = (a), tb = (b); \
|
||
|
|
BN_ULONG lo, hi, tt; \
|
||
|
|
BN_UMULT_LOHI(lo,hi,ta,tb); \
|
||
|
|
c0 += lo; tt = hi+((c0<lo)?1:0); \
|
||
|
|
c1 += tt; c2 += (c1<tt)?1:0; \
|
||
|
|
c0 += lo; hi += (c0<lo)?1:0; \
|
||
|
|
c1 += hi; c2 += (c1<hi)?1:0; \
|
||
|
|
} while(0)
|
||
|
|
|
||
|
|
# define sqr_add_c(a,i,c0,c1,c2) do { \
|
||
|
|
BN_ULONG ta = (a)[i]; \
|
||
|
|
BN_ULONG lo, hi; \
|
||
|
|
BN_UMULT_LOHI(lo,hi,ta,ta); \
|
||
|
|
c0 += lo; hi += (c0<lo)?1:0; \
|
||
|
|
c1 += hi; c2 += (c1<hi)?1:0; \
|
||
|
|
} while(0)
|
||
|
|
# else
|
||
|
|
# 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)
|
||
|
|
# endif
|
||
|
|
|
||
|
|
# 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, BN_ULONG *a, BN_ULONG *b)
|
||
|
|
{
|
||
|
|
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, BN_ULONG *a, BN_ULONG *b)
|
||
|
|
{
|
||
|
|
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, const BN_ULONG *a)
|
||
|
|
{
|
||
|
|
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, const BN_ULONG *a)
|
||
|
|
{
|
||
|
|
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;
|
||
|
|
}
|
||
|
|
#endif
|