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/* TomsFastMath, a fast ISO C bignum library.
*
* This project is meant to fill in where LibTomMath
* falls short. That is speed ;-)
*
* This project is public domain and free for all purposes.
*
* Tom St Denis, tomstdenis@gmail.com
*/
/* About this file...
*/
#include "bignum_fast.h"
#if defined(TFM_PRESCOTT) && defined(TFM_SSE2)
#undef TFM_SSE2
#define TFM_X86
#endif
/* these are the combas. Worship them. */
#if defined(TFM_X86)
/* Generic x86 optimized code */
/* anything you need at the start */
#define COMBA_START
/* clear the chaining variables */
#define COMBA_CLEAR \
c0 = c1 = c2 = 0;
/* forward the carry to the next digit */
#define COMBA_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
/* store the first sum */
#define COMBA_STORE(x) \
x = c0;
/* store the second sum [carry] */
#define COMBA_STORE2(x) \
x = c1;
/* anything you need at the end */
#define COMBA_FINI
/* this should multiply i and j */
#define MULADD(i, j) \
asm( \
"movl %6,%%eax \n\t" \
"mull %7 \n\t" \
"addl %%eax,%0 \n\t" \
"adcl %%edx,%1 \n\t" \
"adcl $0,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2): "0"(c0), "1"(c1), "2"(c2), "m"(i), "m"(j) :"%eax","%edx","cc");
#elif defined(TFM_X86_64)
/* x86-64 optimized */
/* anything you need at the start */
#define COMBA_START
/* clear the chaining variables */
#define COMBA_CLEAR \
c0 = c1 = c2 = 0;
/* forward the carry to the next digit */
#define COMBA_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
/* store the first sum */
#define COMBA_STORE(x) \
x = c0;
/* store the second sum [carry] */
#define COMBA_STORE2(x) \
x = c1;
/* anything you need at the end */
#define COMBA_FINI
/* this should multiply i and j */
#define MULADD(i, j) \
asm ( \
"movq %6,%%rax \n\t" \
"mulq %7 \n\t" \
"addq %%rax,%0 \n\t" \
"adcq %%rdx,%1 \n\t" \
"adcq $0,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2): "0"(c0), "1"(c1), "2"(c2), "g"(i), "g"(j) :"%rax","%rdx","cc");
#elif defined(TFM_SSE2)
/* use SSE2 optimizations */
/* anything you need at the start */
#define COMBA_START
/* clear the chaining variables */
#define COMBA_CLEAR \
c0 = c1 = c2 = 0;
/* forward the carry to the next digit */
#define COMBA_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
/* store the first sum */
#define COMBA_STORE(x) \
x = c0;
/* store the second sum [carry] */
#define COMBA_STORE2(x) \
x = c1;
/* anything you need at the end */
#define COMBA_FINI \
asm("emms");
/* this should multiply i and j */
#define MULADD(i, j) \
asm( \
"movd %6,%%mm0 \n\t" \
"movd %7,%%mm1 \n\t" \
"pmuludq %%mm1,%%mm0\n\t" \
"movd %%mm0,%%eax \n\t" \
"psrlq $32,%%mm0 \n\t" \
"addl %%eax,%0 \n\t" \
"movd %%mm0,%%eax \n\t" \
"adcl %%eax,%1 \n\t" \
"adcl $0,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2): "0"(c0), "1"(c1), "2"(c2), "m"(i), "m"(j) :"%eax","cc");
#elif defined(TFM_ARM)
/* ARM code */
#define COMBA_START
#define COMBA_CLEAR \
c0 = c1 = c2 = 0;
#define COMBA_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define COMBA_FINI
#define MULADD(i, j) \
asm( \
" UMULL r0,r1,%6,%7 \n\t" \
" ADDS %0,%0,r0 \n\t" \
" ADCS %1,%1,r1 \n\t" \
" ADC %2,%2,#0 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2) : "0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j) : "r0", "r1", "cc");
#elif defined(TFM_PPC32)
/* For 32-bit PPC */
#define COMBA_START
#define COMBA_CLEAR \
c0 = c1 = c2 = 0;
#define COMBA_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define COMBA_FINI
/* untested: will mulhwu change the flags? Docs say no */
#define MULADD(i, j) \
asm( \
" mullw 16,%6,%7 \n\t" \
" addc %0,%0,16 \n\t" \
" mulhwu 16,%6,%7 \n\t" \
" adde %1,%1,16 \n\t" \
" addze %2,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"16");
#elif defined(TFM_PPC64)
/* For 64-bit PPC */
#define COMBA_START
#define COMBA_CLEAR \
c0 = c1 = c2 = 0;
#define COMBA_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define COMBA_FINI
/* untested: will mulhdu change the flags? Docs say no */
#define MULADD(i, j) \
asm( \
" mulld r16,%6,%7 \n\t" \
" addc %0,%0,16 \n\t" \
" mulhdu r16,%6,%7 \n\t" \
" adde %1,%1,16 \n\t" \
" addze %2,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"r16");
#elif defined(TFM_AVR32)
/* ISO C code */
#define COMBA_START
#define COMBA_CLEAR \
c0 = c1 = c2 = 0;
#define COMBA_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define COMBA_FINI
#define MULADD(i, j) \
asm( \
" mulu.d r2,%6,%7 \n\t"\
" add %0,r2 \n\t"\
" adc %1,%1,r3 \n\t"\
" acr %2 \n\t"\
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"r2","r3");
#elif defined(TFM_MIPS)
#define COMBA_START
#define COMBA_CLEAR \
c0 = c1 = c2 = 0;
#define COMBA_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define COMBA_FINI
#define MULADD(i, j) \
asm( \
" multu %6,%7 \n\t" \
" mflo $12 \n\t" \
" mfhi $13 \n\t" \
" addu %0,%0,$12 \n\t" \
" sltu $12,%0,$12 \n\t" \
" addu %1,%1,$13 \n\t" \
" sltu $13,%1,$13 \n\t" \
" addu %1,%1,$12 \n\t" \
" sltu $12,%1,$12 \n\t" \
" addu %2,%2,$13 \n\t" \
" addu %2,%2,$12 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"$12","$13");
#else
/* ISO C code */
#define COMBA_START
#define COMBA_CLEAR \
c0 = c1 = c2 = 0;
#define COMBA_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define COMBA_FINI
#define MULADD(i, j) \
do { fp_word t; \
t = (fp_word)c0 + ((fp_word)i) * ((fp_word)j); c0 = t; \
t = (fp_word)c1 + (t >> DIGIT_BIT); c1 = t; c2 += t >> DIGIT_BIT; \
} while (0);
#endif
#ifndef TFM_DEFINES
/* generic PxQ multiplier */
void fp_mul_comba(fp_int *A, fp_int *B, fp_int *C)
{
int ix, iy, iz, tx, ty, pa;
fp_digit c0, c1, c2, *tmpx, *tmpy;
fp_int tmp, *dst;
COMBA_START;
COMBA_CLEAR;
/* get size of output and trim */
pa = A->used + B->used;
if (pa >= FP_SIZE) {
pa = FP_SIZE-1;
}
if (A == C || B == C) {
fp_zero(&tmp);
dst = &tmp;
} else {
fp_zero(C);
dst = C;
}
for (ix = 0; ix < pa; ix++) {
/* get offsets into the two bignums */
ty = MIN(ix, B->used-1);
tx = ix - ty;
/* setup temp aliases */
tmpx = A->dp + tx;
tmpy = B->dp + ty;
/* this is the number of times the loop will iterrate, essentially its
while (tx++ < a->used && ty-- >= 0) { ... }
*/
iy = MIN(A->used-tx, ty+1);
/* execute loop */
COMBA_FORWARD;
for (iz = 0; iz < iy; ++iz) {
MULADD(*tmpx++, *tmpy--);
}
/* store term */
COMBA_STORE(dst->dp[ix]);
}
COMBA_FINI;
dst->used = pa;
dst->sign = A->sign ^ B->sign;
fp_clamp(dst);
fp_copy(dst, C);
}
#endif
/* $Source: /cvs/libtom/tomsfastmath/src/mul/fp_mul_comba.c,v $ */
/* $Revision: 1.4 $ */
/* $Date: 2007/03/14 23:47:42 $ */
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