Xuyi Wang
/
wolfSSL
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wolfcrypt/src/asm.c
- Committer:
- sPymbed
- Date:
- 2019-11-19
- Revision:
- 16:048e5e270a58
- Parent:
- 15:117db924cf7c
File content as of revision 16:048e5e270a58:
/* asm.c
*
* Copyright (C) 2006-2017 wolfSSL Inc.
*
* This file is part of wolfSSL.
*
* wolfSSL 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.
*
* wolfSSL 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, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335, USA
*/
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include <wolfssl/wolfcrypt/settings.h>
/*
* Based on public domain TomsFastMath 0.10 by Tom St Denis, tomstdenis@iahu.ca,
* http://math.libtomcrypt.com
*/
/******************************************************************/
/* fp_montgomery_reduce.c asm or generic */
/* Each platform needs to query info type 1 from cpuid to see if aesni is
* supported. Also, let's setup a macro for proper linkage w/o ABI conflicts
*/
#if defined(HAVE_INTEL_MULX)
#ifndef _MSC_VER
#define cpuid(reg, leaf, sub)\
__asm__ __volatile__ ("cpuid":\
"=a" (reg[0]), "=b" (reg[1]), "=c" (reg[2]), "=d" (reg[3]) :\
"a" (leaf), "c"(sub));
#define XASM_LINK(f) asm(f)
#else
#include <intrin.h>
#define cpuid(a,b,c) __cpuidex((int*)a,b,c)
#define XASM_LINK(f)
#endif /* _MSC_VER */
#define EAX 0
#define EBX 1
#define ECX 2
#define EDX 3
#define CPUID_AVX1 0x1
#define CPUID_AVX2 0x2
#define CPUID_RDRAND 0x4
#define CPUID_RDSEED 0x8
#define CPUID_BMI2 0x10 /* MULX, RORX */
#define CPUID_ADX 0x20 /* ADCX, ADOX */
#define IS_INTEL_AVX1 (cpuid_flags&CPUID_AVX1)
#define IS_INTEL_AVX2 (cpuid_flags&CPUID_AVX2)
#define IS_INTEL_BMI2 (cpuid_flags&CPUID_BMI2)
#define IS_INTEL_ADX (cpuid_flags&CPUID_ADX)
#define IS_INTEL_RDRAND (cpuid_flags&CPUID_RDRAND)
#define IS_INTEL_RDSEED (cpuid_flags&CPUID_RDSEED)
#define SET_FLAGS
static word32 cpuid_check = 0 ;
static word32 cpuid_flags = 0 ;
static word32 cpuid_flag(word32 leaf, word32 sub, word32 num, word32 bit) {
int got_intel_cpu = 0;
int got_amd_cpu = 0;
unsigned int reg[5];
reg[4] = '\0' ;
cpuid(reg, 0, 0);
/* check for intel cpu */
if( memcmp((char *)&(reg[EBX]), "Genu", 4) == 0 &&
memcmp((char *)&(reg[EDX]), "ineI", 4) == 0 &&
memcmp((char *)&(reg[ECX]), "ntel", 4) == 0) {
got_intel_cpu = 1;
}
/* check for AMD cpu */
if( memcmp((char *)&(reg[EBX]), "Auth", 4) == 0 &&
memcmp((char *)&(reg[EDX]), "enti", 4) == 0 &&
memcmp((char *)&(reg[ECX]), "cAMD", 4) == 0) {
got_amd_cpu = 1;
}
if (got_intel_cpu || got_amd_cpu) {
cpuid(reg, leaf, sub);
return((reg[num]>>bit)&0x1) ;
}
return 0 ;
}
WC_INLINE static int set_cpuid_flags(void) {
if(cpuid_check == 0) {
if(cpuid_flag(7, 0, EBX, 8)){ cpuid_flags |= CPUID_BMI2 ; }
if(cpuid_flag(7, 0, EBX,19)){ cpuid_flags |= CPUID_ADX ; }
cpuid_check = 1 ;
return 0 ;
}
return 1 ;
}
#define RETURN return
#define IF_HAVE_INTEL_MULX(func, ret) \
if(cpuid_check==0)set_cpuid_flags() ; \
if(IS_INTEL_BMI2 && IS_INTEL_ADX){ func; ret ; }
#else
#define IF_HAVE_INTEL_MULX(func, ret)
#endif
#if defined(TFM_X86) && !defined(TFM_SSE2)
/* x86-32 code */
#define MONT_START
#define MONT_FINI
#define LOOP_END
#define LOOP_START \
mu = c[x] * mp
#define INNERMUL \
__asm__( \
"movl %5,%%eax \n\t" \
"mull %4 \n\t" \
"addl %1,%%eax \n\t" \
"adcl $0,%%edx \n\t" \
"addl %%eax,%0 \n\t" \
"adcl $0,%%edx \n\t" \
"movl %%edx,%1 \n\t" \
:"=g"(_c[LO]), "=r"(cy) \
:"0"(_c[LO]), "1"(cy), "r"(mu), "r"(*tmpm++) \
: "%eax", "%edx", "cc")
#define PROPCARRY \
__asm__( \
"addl %1,%0 \n\t" \
"setb %%al \n\t" \
"movzbl %%al,%1 \n\t" \
:"=g"(_c[LO]), "=r"(cy) \
:"0"(_c[LO]), "1"(cy) \
: "%eax", "cc")
/******************************************************************/
#elif defined(TFM_X86_64)
/* x86-64 code */
#define MONT_START
#define MONT_FINI
#define LOOP_END
#define LOOP_START \
mu = c[x] * mp
#define INNERMUL \
__asm__( \
"movq %5,%%rax \n\t" \
"mulq %4 \n\t" \
"addq %1,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"addq %%rax,%0 \n\t" \
"adcq $0,%%rdx \n\t" \
"movq %%rdx,%1 \n\t" \
:"=g"(_c[LO]), "=r"(cy) \
:"0"(_c[LO]), "1"(cy), "r"(mu), "r"(*tmpm++) \
: "%rax", "%rdx", "cc")
#if defined(HAVE_INTEL_MULX)
#define MULX_INNERMUL8(x,y,z,cy) \
__asm__ volatile ( \
"movq %[yn], %%rdx\n\t" \
"xorq %%rcx, %%rcx\n\t" \
"movq 0(%[c]), %%r8\n\t" \
"movq 8(%[c]), %%r9\n\t" \
"movq 16(%[c]), %%r10\n\t" \
"movq 24(%[c]), %%r11\n\t" \
"movq 32(%[c]), %%r12\n\t" \
"movq 40(%[c]), %%r13\n\t" \
"movq 48(%[c]), %%r14\n\t" \
"movq 56(%[c]), %%r15\n\t" \
\
"mulx 0(%[xp]), %%rax, %%rcx\n\t" \
"adcxq %[cy], %%r8\n\t" \
"adoxq %%rax, %%r8\n\t" \
"mulx 8(%[xp]), %%rax, %[cy]\n\t" \
"adcxq %%rcx, %%r9\n\t" \
"adoxq %%rax, %%r9\n\t" \
"mulx 16(%[xp]), %%rax, %%rcx\n\t" \
"adcxq %[cy], %%r10\n\t" \
"adoxq %%rax, %%r10\n\t" \
"mulx 24(%[xp]), %%rax, %[cy]\n\t" \
"adcxq %%rcx, %%r11\n\t" \
"adoxq %%rax, %%r11\n\t" \
"mulx 32(%[xp]), %%rax, %%rcx\n\t" \
"adcxq %[cy], %%r12\n\t" \
"adoxq %%rax, %%r12\n\t" \
"mulx 40(%[xp]), %%rax, %[cy]\n\t" \
"adcxq %%rcx, %%r13\n\t" \
"adoxq %%rax, %%r13\n\t" \
"mulx 48(%[xp]), %%rax, %%rcx\n\t" \
"adcxq %[cy], %%r14\n\t" \
"adoxq %%rax, %%r14\n\t" \
"adcxq %%rcx, %%r15\n\t" \
"mulx 56(%[xp]), %%rax, %[cy]\n\t" \
"movq $0, %%rdx\n\t" \
"adoxq %%rdx, %%rax\n\t" \
"adcxq %%rdx, %[cy]\n\t" \
"adoxq %%rdx, %[cy]\n\t" \
"addq %%rax, %%r15\n\t" \
"adcq $0, %[cy]\n\t" \
\
"movq %%r8, 0(%[c])\n\t" \
"movq %%r9, 8(%[c])\n\t" \
"movq %%r10, 16(%[c])\n\t" \
"movq %%r11, 24(%[c])\n\t" \
"movq %%r12, 32(%[c])\n\t" \
"movq %%r13, 40(%[c])\n\t" \
"movq %%r14, 48(%[c])\n\t" \
"movq %%r15, 56(%[c])\n\t" \
: [cy] "+r" (cy) \
: [xp] "r" (x), [c] "r" (c_mulx), [yn] "rm" (y) \
:"%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", \
"%rdx", "%rax", "%rcx" \
)
#define INNERMUL8_MULX \
{\
MULX_INNERMUL8(tmpm, mu, _c, cy);\
}
#endif
#define INNERMUL8 \
__asm__( \
"movq 0(%5),%%rax \n\t" \
"movq 0(%2),%%r10 \n\t" \
"movq 0x8(%5),%%r11 \n\t" \
"mulq %4 \n\t" \
"addq %%r10,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq 0x8(%2),%%r10 \n\t" \
"addq %3,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq %%rax,0(%0) \n\t" \
"movq %%rdx,%1 \n\t" \
\
"movq %%r11,%%rax \n\t" \
"movq 0x10(%5),%%r11 \n\t" \
"mulq %4 \n\t" \
"addq %%r10,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq 0x10(%2),%%r10 \n\t" \
"addq %3,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq %%rax,0x8(%0) \n\t" \
"movq %%rdx,%1 \n\t" \
\
"movq %%r11,%%rax \n\t" \
"movq 0x18(%5),%%r11 \n\t" \
"mulq %4 \n\t" \
"addq %%r10,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq 0x18(%2),%%r10 \n\t" \
"addq %3,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq %%rax,0x10(%0) \n\t" \
"movq %%rdx,%1 \n\t" \
\
"movq %%r11,%%rax \n\t" \
"movq 0x20(%5),%%r11 \n\t" \
"mulq %4 \n\t" \
"addq %%r10,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq 0x20(%2),%%r10 \n\t" \
"addq %3,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq %%rax,0x18(%0) \n\t" \
"movq %%rdx,%1 \n\t" \
\
"movq %%r11,%%rax \n\t" \
"movq 0x28(%5),%%r11 \n\t" \
"mulq %4 \n\t" \
"addq %%r10,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq 0x28(%2),%%r10 \n\t" \
"addq %3,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq %%rax,0x20(%0) \n\t" \
"movq %%rdx,%1 \n\t" \
\
"movq %%r11,%%rax \n\t" \
"movq 0x30(%5),%%r11 \n\t" \
"mulq %4 \n\t" \
"addq %%r10,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq 0x30(%2),%%r10 \n\t" \
"addq %3,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq %%rax,0x28(%0) \n\t" \
"movq %%rdx,%1 \n\t" \
\
"movq %%r11,%%rax \n\t" \
"movq 0x38(%5),%%r11 \n\t" \
"mulq %4 \n\t" \
"addq %%r10,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq 0x38(%2),%%r10 \n\t" \
"addq %3,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq %%rax,0x30(%0) \n\t" \
"movq %%rdx,%1 \n\t" \
\
"movq %%r11,%%rax \n\t" \
"mulq %4 \n\t" \
"addq %%r10,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"addq %3,%%rax \n\t" \
"adcq $0,%%rdx \n\t" \
"movq %%rax,0x38(%0) \n\t" \
"movq %%rdx,%1 \n\t" \
\
:"=r"(_c), "=r"(cy) \
: "0"(_c), "1"(cy), "g"(mu), "r"(tmpm)\
: "%rax", "%rdx", "%r10", "%r11", "cc")
#define PROPCARRY \
__asm__( \
"addq %1,%0 \n\t" \
"setb %%al \n\t" \
"movzbq %%al,%1 \n\t" \
:"=g"(_c[LO]), "=r"(cy) \
:"0"(_c[LO]), "1"(cy) \
: "%rax", "cc")
/******************************************************************/
#elif defined(TFM_SSE2)
/* SSE2 code (assumes 32-bit fp_digits) */
/* XMM register assignments:
* xmm0 *tmpm++, then Mu * (*tmpm++)
* xmm1 c[x], then Mu
* xmm2 mp
* xmm3 cy
* xmm4 _c[LO]
*/
#define MONT_START \
__asm__("movd %0,%%mm2"::"g"(mp))
#define MONT_FINI \
__asm__("emms")
#define LOOP_START \
__asm__( \
"movd %0,%%mm1 \n\t" \
"pxor %%mm3,%%mm3 \n\t" \
"pmuludq %%mm2,%%mm1 \n\t" \
:: "g"(c[x]))
/* pmuludq on mmx registers does a 32x32->64 multiply. */
#define INNERMUL \
__asm__( \
"movd %1,%%mm4 \n\t" \
"movd %2,%%mm0 \n\t" \
"paddq %%mm4,%%mm3 \n\t" \
"pmuludq %%mm1,%%mm0 \n\t" \
"paddq %%mm0,%%mm3 \n\t" \
"movd %%mm3,%0 \n\t" \
"psrlq $32, %%mm3 \n\t" \
:"=g"(_c[LO]) : "0"(_c[LO]), "g"(*tmpm++) );
#define INNERMUL8 \
__asm__( \
"movd 0(%1),%%mm4 \n\t" \
"movd 0(%2),%%mm0 \n\t" \
"paddq %%mm4,%%mm3 \n\t" \
"pmuludq %%mm1,%%mm0 \n\t" \
"movd 4(%2),%%mm5 \n\t" \
"paddq %%mm0,%%mm3 \n\t" \
"movd 4(%1),%%mm6 \n\t" \
"movd %%mm3,0(%0) \n\t" \
"psrlq $32, %%mm3 \n\t" \
\
"paddq %%mm6,%%mm3 \n\t" \
"pmuludq %%mm1,%%mm5 \n\t" \
"movd 8(%2),%%mm6 \n\t" \
"paddq %%mm5,%%mm3 \n\t" \
"movd 8(%1),%%mm7 \n\t" \
"movd %%mm3,4(%0) \n\t" \
"psrlq $32, %%mm3 \n\t" \
\
"paddq %%mm7,%%mm3 \n\t" \
"pmuludq %%mm1,%%mm6 \n\t" \
"movd 12(%2),%%mm7 \n\t" \
"paddq %%mm6,%%mm3 \n\t" \
"movd 12(%1),%%mm5 \n\t" \
"movd %%mm3,8(%0) \n\t" \
"psrlq $32, %%mm3 \n\t" \
\
"paddq %%mm5,%%mm3 \n\t" \
"pmuludq %%mm1,%%mm7 \n\t" \
"movd 16(%2),%%mm5 \n\t" \
"paddq %%mm7,%%mm3 \n\t" \
"movd 16(%1),%%mm6 \n\t" \
"movd %%mm3,12(%0) \n\t" \
"psrlq $32, %%mm3 \n\t" \
\
"paddq %%mm6,%%mm3 \n\t" \
"pmuludq %%mm1,%%mm5 \n\t" \
"movd 20(%2),%%mm6 \n\t" \
"paddq %%mm5,%%mm3 \n\t" \
"movd 20(%1),%%mm7 \n\t" \
"movd %%mm3,16(%0) \n\t" \
"psrlq $32, %%mm3 \n\t" \
\
"paddq %%mm7,%%mm3 \n\t" \
"pmuludq %%mm1,%%mm6 \n\t" \
"movd 24(%2),%%mm7 \n\t" \
"paddq %%mm6,%%mm3 \n\t" \
"movd 24(%1),%%mm5 \n\t" \
"movd %%mm3,20(%0) \n\t" \
"psrlq $32, %%mm3 \n\t" \
\
"paddq %%mm5,%%mm3 \n\t" \
"pmuludq %%mm1,%%mm7 \n\t" \
"movd 28(%2),%%mm5 \n\t" \
"paddq %%mm7,%%mm3 \n\t" \
"movd 28(%1),%%mm6 \n\t" \
"movd %%mm3,24(%0) \n\t" \
"psrlq $32, %%mm3 \n\t" \
\
"paddq %%mm6,%%mm3 \n\t" \
"pmuludq %%mm1,%%mm5 \n\t" \
"paddq %%mm5,%%mm3 \n\t" \
"movd %%mm3,28(%0) \n\t" \
"psrlq $32, %%mm3 \n\t" \
:"=r"(_c) : "0"(_c), "r"(tmpm) );
/* TAO switched tmpm from "g" to "r" after gcc tried to index the indexed stack
pointer */
#define LOOP_END \
__asm__( "movd %%mm3,%0 \n" :"=r"(cy))
#define PROPCARRY \
__asm__( \
"addl %1,%0 \n\t" \
"setb %%al \n\t" \
"movzbl %%al,%1 \n\t" \
:"=g"(_c[LO]), "=r"(cy) \
:"0"(_c[LO]), "1"(cy) \
: "%eax", "cc")
/******************************************************************/
#elif defined(TFM_ARM)
/* ARMv4 code */
#define MONT_START
#define MONT_FINI
#define LOOP_END
#define LOOP_START \
mu = c[x] * mp
#ifdef __thumb__
#define INNERMUL \
__asm__( \
" LDR r0,%1 \n\t" \
" ADDS r0,r0,%0 \n\t" \
" ITE CS \n\t" \
" MOVCS %0,#1 \n\t" \
" MOVCC %0,#0 \n\t" \
" UMLAL r0,%0,%3,%4 \n\t" \
" STR r0,%1 \n\t" \
:"=r"(cy),"=m"(_c[0]):"0"(cy),"r"(mu),"r"(*tmpm++),"m"(_c[0]):"r0","cc");
#define PROPCARRY \
__asm__( \
" LDR r0,%1 \n\t" \
" ADDS r0,r0,%0 \n\t" \
" STR r0,%1 \n\t" \
" ITE CS \n\t" \
" MOVCS %0,#1 \n\t" \
" MOVCC %0,#0 \n\t" \
:"=r"(cy),"=m"(_c[0]):"0"(cy),"m"(_c[0]):"r0","cc");
/* TAO thumb mode uses ite (if then else) to detect carry directly
* fixed unmatched constraint warning by changing 1 to m */
#else /* __thumb__ */
#define INNERMUL \
__asm__( \
" LDR r0,%1 \n\t" \
" ADDS r0,r0,%0 \n\t" \
" MOVCS %0,#1 \n\t" \
" MOVCC %0,#0 \n\t" \
" UMLAL r0,%0,%3,%4 \n\t" \
" STR r0,%1 \n\t" \
:"=r"(cy),"=m"(_c[0]):"0"(cy),"r"(mu),"r"(*tmpm++),"1"(_c[0]):"r0","cc");
#define PROPCARRY \
__asm__( \
" LDR r0,%1 \n\t" \
" ADDS r0,r0,%0 \n\t" \
" STR r0,%1 \n\t" \
" MOVCS %0,#1 \n\t" \
" MOVCC %0,#0 \n\t" \
:"=r"(cy),"=m"(_c[0]):"0"(cy),"1"(_c[0]):"r0","cc");
#endif /* __thumb__ */
#elif defined(TFM_PPC32)
/* PPC32 */
#define MONT_START
#define MONT_FINI
#define LOOP_END
#define LOOP_START \
mu = c[x] * mp
#define INNERMUL \
__asm__( \
" mullw 16,%3,%4 \n\t" \
" mulhwu 17,%3,%4 \n\t" \
" addc 16,16,%2 \n\t" \
" addze 17,17 \n\t" \
" addc %1,16,%5 \n\t" \
" addze %0,17 \n\t" \
:"=r"(cy),"=r"(_c[0]):"0"(cy),"r"(mu),"r"(tmpm[0]),"1"(_c[0]):"16", "17", "cc"); ++tmpm;
#define PROPCARRY \
__asm__( \
" addc %1,%3,%2 \n\t" \
" xor %0,%2,%2 \n\t" \
" addze %0,%2 \n\t" \
:"=r"(cy),"=r"(_c[0]):"0"(cy),"1"(_c[0]):"cc");
#elif defined(TFM_PPC64)
/* PPC64 */
#define MONT_START
#define MONT_FINI
#define LOOP_END
#define LOOP_START \
mu = c[x] * mp
#define INNERMUL \
__asm__( \
" mulld r16,%3,%4 \n\t" \
" mulhdu r17,%3,%4 \n\t" \
" addc r16,16,%0 \n\t" \
" addze r17,r17 \n\t" \
" ldx r18,0,%1 \n\t" \
" addc r16,r16,r18 \n\t" \
" addze %0,r17 \n\t" \
" sdx r16,0,%1 \n\t" \
:"=r"(cy),"=m"(_c[0]):"0"(cy),"r"(mu),"r"(tmpm[0]),"1"(_c[0]):"r16", "r17", "r18","cc"); ++tmpm;
#define PROPCARRY \
__asm__( \
" ldx r16,0,%1 \n\t" \
" addc r16,r16,%0 \n\t" \
" sdx r16,0,%1 \n\t" \
" xor %0,%0,%0 \n\t" \
" addze %0,%0 \n\t" \
:"=r"(cy),"=m"(_c[0]):"0"(cy),"1"(_c[0]):"r16","cc");
/******************************************************************/
#elif defined(TFM_AVR32)
/* AVR32 */
#define MONT_START
#define MONT_FINI
#define LOOP_END
#define LOOP_START \
mu = c[x] * mp
#define INNERMUL \
__asm__( \
" ld.w r2,%1 \n\t" \
" add r2,%0 \n\t" \
" eor r3,r3 \n\t" \
" acr r3 \n\t" \
" macu.d r2,%3,%4 \n\t" \
" st.w %1,r2 \n\t" \
" mov %0,r3 \n\t" \
:"=r"(cy),"=r"(_c):"0"(cy),"r"(mu),"r"(*tmpm++),"1"(_c):"r2","r3");
#define PROPCARRY \
__asm__( \
" ld.w r2,%1 \n\t" \
" add r2,%0 \n\t" \
" st.w %1,r2 \n\t" \
" eor %0,%0 \n\t" \
" acr %0 \n\t" \
:"=r"(cy),"=r"(&_c[0]):"0"(cy),"1"(&_c[0]):"r2","cc");
/******************************************************************/
#elif defined(TFM_MIPS)
/* MIPS */
#define MONT_START
#define MONT_FINI
#define LOOP_END
#define LOOP_START \
mu = c[x] * mp
#define INNERMUL \
__asm__( \
" multu %3,%4 \n\t" \
" mflo $12 \n\t" \
" mfhi $13 \n\t" \
" addu $12,$12,%0 \n\t" \
" sltu $10,$12,%0 \n\t" \
" addu $13,$13,$10 \n\t" \
" lw $10,%1 \n\t" \
" addu $12,$12,$10 \n\t" \
" sltu $10,$12,$10 \n\t" \
" addu %0,$13,$10 \n\t" \
" sw $12,%1 \n\t" \
:"+r"(cy),"+m"(_c[0]):""(cy),"r"(mu),"r"(tmpm[0]),""(_c[0]):"$10","$12","$13"); ++tmpm;
#define PROPCARRY \
__asm__( \
" lw $10,%1 \n\t" \
" addu $10,$10,%0 \n\t" \
" sw $10,%1 \n\t" \
" sltu %0,$10,%0 \n\t" \
:"+r"(cy),"+m"(_c[0]):""(cy),""(_c[0]):"$10");
/******************************************************************/
#else
/* ISO C code */
#define MONT_START
#define MONT_FINI
#define LOOP_END
#define LOOP_START \
mu = c[x] * mp
#define INNERMUL \
do { fp_word t; \
t = ((fp_word)_c[0] + (fp_word)cy) + \
(((fp_word)mu) * ((fp_word)*tmpm++)); \
_c[0] = (fp_digit)t; \
cy = (fp_digit)(t >> DIGIT_BIT); \
} while (0)
#define PROPCARRY \
do { fp_digit t = _c[0] += cy; cy = (t < cy); } while (0)
#endif
/******************************************************************/
#define LO 0
/* end fp_montogomery_reduce.c asm */
/* start fp_sqr_comba.c asm */
#if defined(TFM_X86)
/* x86-32 optimized */
#define COMBA_START
#define CLEAR_CARRY \
c0 = c1 = c2 = 0;
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define CARRY_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_FINI
#define SQRADD(i, j) \
__asm__( \
"movl %6,%%eax \n\t" \
"mull %%eax \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) :"%eax","%edx","cc");
#define SQRADD2(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" \
"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");
#define SQRADDSC(i, j) \
__asm__( \
"movl %3,%%eax \n\t" \
"mull %4 \n\t" \
"movl %%eax,%0 \n\t" \
"movl %%edx,%1 \n\t" \
"xorl %2,%2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2): "g"(i), "g"(j) :"%eax","%edx","cc");
#define SQRADDAC(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"(sc0), "=r"(sc1), "=r"(sc2): "0"(sc0), "1"(sc1), "2"(sc2), "g"(i), "g"(j) :"%eax","%edx","cc");
#define SQRADDDB \
__asm__( \
"addl %6,%0 \n\t" \
"adcl %7,%1 \n\t" \
"adcl %8,%2 \n\t" \
"addl %6,%0 \n\t" \
"adcl %7,%1 \n\t" \
"adcl %8,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2) : "0"(c0), "1"(c1), "2"(c2), "r"(sc0), "r"(sc1), "r"(sc2) : "cc");
#elif defined(TFM_X86_64)
/* x86-64 optimized */
#define COMBA_START
#define CLEAR_CARRY \
c0 = c1 = c2 = 0;
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define CARRY_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_FINI
#define SQRADD(i, j) \
__asm__( \
"movq %6,%%rax \n\t" \
"mulq %%rax \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), "x"(i) :"%rax","%rdx","cc");
#define SQRADD2(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" \
"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");
#define SQRADDSC(i, j) \
__asm__( \
"movq %3,%%rax \n\t" \
"mulq %4 \n\t" \
"movq %%rax,%0 \n\t" \
"movq %%rdx,%1 \n\t" \
"xorq %2,%2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2): "g"(i), "g"(j) :"%rax","%rdx","cc");
#define SQRADDAC(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"(sc0), "=r"(sc1), "=r"(sc2): "0"(sc0), "1"(sc1), "2"(sc2), "g"(i), "g"(j) :"%rax","%rdx","cc");
#define SQRADDDB \
__asm__( \
"addq %6,%0 \n\t" \
"adcq %7,%1 \n\t" \
"adcq %8,%2 \n\t" \
"addq %6,%0 \n\t" \
"adcq %7,%1 \n\t" \
"adcq %8,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2) : "0"(c0), "1"(c1), "2"(c2), "r"(sc0), "r"(sc1), "r"(sc2) : "cc");
#elif defined(TFM_SSE2)
/* SSE2 Optimized */
#define COMBA_START
#define CLEAR_CARRY \
c0 = c1 = c2 = 0;
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define CARRY_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_FINI \
__asm__("emms");
#define SQRADD(i, j) \
__asm__( \
"movd %6,%%mm0 \n\t" \
"pmuludq %%mm0,%%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) :"%eax","cc");
#define SQRADD2(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" \
"movd %%mm0,%%edx \n\t" \
"addl %%eax,%0 \n\t" \
"adcl %%edx,%1 \n\t" \
"adcl $0,%2 \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");
#define SQRADDSC(i, j) \
__asm__( \
"movd %3,%%mm0 \n\t" \
"movd %4,%%mm1 \n\t" \
"pmuludq %%mm1,%%mm0\n\t" \
"movd %%mm0,%0 \n\t" \
"psrlq $32,%%mm0 \n\t" \
"movd %%mm0,%1 \n\t" \
"xorl %2,%2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2): "m"(i), "m"(j));
/* TAO removed sc0,1,2 as input to remove warning so %6,%7 become %3,%4 */
#define SQRADDAC(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" \
"movd %%mm0,%%edx \n\t" \
"addl %%eax,%0 \n\t" \
"adcl %%edx,%1 \n\t" \
"adcl $0,%2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2): "0"(sc0), "1"(sc1), "2"(sc2), "m"(i), "m"(j) :"%eax","%edx","cc");
#define SQRADDDB \
__asm__( \
"addl %6,%0 \n\t" \
"adcl %7,%1 \n\t" \
"adcl %8,%2 \n\t" \
"addl %6,%0 \n\t" \
"adcl %7,%1 \n\t" \
"adcl %8,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2) : "0"(c0), "1"(c1), "2"(c2), "r"(sc0), "r"(sc1), "r"(sc2) : "cc");
#elif defined(TFM_ARM)
/* ARM code */
#define COMBA_START
#define CLEAR_CARRY \
c0 = c1 = c2 = 0;
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define CARRY_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_FINI
/* multiplies point i and j, updates carry "c1" and digit c2 */
#define SQRADD(i, j) \
__asm__( \
" UMULL r0,r1,%6,%6 \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) : "r0", "r1", "cc");
/* for squaring some of the terms are doubled... */
#define SQRADD2(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" \
" 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");
#define SQRADDSC(i, j) \
__asm__( \
" UMULL %0,%1,%3,%4 \n\t" \
" SUB %2,%2,%2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2) : "r"(i), "r"(j) : "cc");
/* TAO removed sc0,1,2 as input to remove warning so %6,%7 become %3,%4 */
#define SQRADDAC(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"(sc0), "=r"(sc1), "=r"(sc2) : "0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j) : "r0", "r1", "cc");
#define SQRADDDB \
__asm__( \
" ADDS %0,%0,%3 \n\t" \
" ADCS %1,%1,%4 \n\t" \
" ADC %2,%2,%5 \n\t" \
" ADDS %0,%0,%3 \n\t" \
" ADCS %1,%1,%4 \n\t" \
" ADC %2,%2,%5 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2) : "r"(sc0), "r"(sc1), "r"(sc2), "0"(c0), "1"(c1), "2"(c2) : "cc");
#elif defined(TFM_PPC32)
/* PPC32 */
#define COMBA_START
#define CLEAR_CARRY \
c0 = c1 = c2 = 0;
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define CARRY_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_FINI
/* multiplies point i and j, updates carry "c1" and digit c2 */
#define SQRADD(i, j) \
__asm__( \
" mullw 16,%6,%6 \n\t" \
" addc %0,%0,16 \n\t" \
" mulhwu 16,%6,%6 \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):"16","cc");
/* for squaring some of the terms are doubled... */
#define SQRADD2(i, j) \
__asm__( \
" mullw 16,%6,%7 \n\t" \
" mulhwu 17,%6,%7 \n\t" \
" addc %0,%0,16 \n\t" \
" adde %1,%1,17 \n\t" \
" addze %2,%2 \n\t" \
" addc %0,%0,16 \n\t" \
" adde %1,%1,17 \n\t" \
" addze %2,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"16", "17","cc");
#define SQRADDSC(i, j) \
__asm__( \
" mullw %0,%6,%7 \n\t" \
" mulhwu %1,%6,%7 \n\t" \
" xor %2,%2,%2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i),"r"(j) : "cc");
#define SQRADDAC(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"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j):"16", "cc");
#define SQRADDDB \
__asm__( \
" addc %0,%0,%3 \n\t" \
" adde %1,%1,%4 \n\t" \
" adde %2,%2,%5 \n\t" \
" addc %0,%0,%3 \n\t" \
" adde %1,%1,%4 \n\t" \
" adde %2,%2,%5 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2) : "r"(sc0), "r"(sc1), "r"(sc2), "0"(c0), "1"(c1), "2"(c2) : "cc");
#elif defined(TFM_PPC64)
/* PPC64 */
#define COMBA_START
#define CLEAR_CARRY \
c0 = c1 = c2 = 0;
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define CARRY_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_FINI
/* multiplies point i and j, updates carry "c1" and digit c2 */
#define SQRADD(i, j) \
__asm__( \
" mulld r16,%6,%6 \n\t" \
" addc %0,%0,r16 \n\t" \
" mulhdu r16,%6,%6 \n\t" \
" adde %1,%1,r16 \n\t" \
" addze %2,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i):"r16","cc");
/* for squaring some of the terms are doubled... */
#define SQRADD2(i, j) \
__asm__( \
" mulld r16,%6,%7 \n\t" \
" mulhdu r17,%6,%7 \n\t" \
" addc %0,%0,r16 \n\t" \
" adde %1,%1,r17 \n\t" \
" addze %2,%2 \n\t" \
" addc %0,%0,r16 \n\t" \
" adde %1,%1,r17 \n\t" \
" addze %2,%2 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"r16", "r17","cc");
#define SQRADDSC(i, j) \
__asm__( \
" mulld %0,%6,%7 \n\t" \
" mulhdu %1,%6,%7 \n\t" \
" xor %2,%2,%2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i),"r"(j) : "cc");
#define SQRADDAC(i, j) \
__asm__( \
" mulld r16,%6,%7 \n\t" \
" addc %0,%0,r16 \n\t" \
" mulhdu r16,%6,%7 \n\t" \
" adde %1,%1,r16 \n\t" \
" addze %2,%2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j):"r16", "cc");
#define SQRADDDB \
__asm__( \
" addc %0,%0,%3 \n\t" \
" adde %1,%1,%4 \n\t" \
" adde %2,%2,%5 \n\t" \
" addc %0,%0,%3 \n\t" \
" adde %1,%1,%4 \n\t" \
" adde %2,%2,%5 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2) : "r"(sc0), "r"(sc1), "r"(sc2), "0"(c0), "1"(c1), "2"(c2) : "cc");
#elif defined(TFM_AVR32)
/* AVR32 */
#define COMBA_START
#define CLEAR_CARRY \
c0 = c1 = c2 = 0;
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define CARRY_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_FINI
/* multiplies point i and j, updates carry "c1" and digit c2 */
#define SQRADD(i, j) \
__asm__( \
" mulu.d r2,%6,%6 \n\t" \
" add %0,%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):"r2","r3");
/* for squaring some of the terms are doubled... */
#define SQRADD2(i, j) \
__asm__( \
" mulu.d r2,%6,%7 \n\t" \
" add %0,%0,r2 \n\t" \
" adc %1,%1,r3 \n\t" \
" acr %2, \n\t" \
" add %0,%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");
#define SQRADDSC(i, j) \
__asm__( \
" mulu.d r2,%6,%7 \n\t" \
" mov %0,r2 \n\t" \
" mov %1,r3 \n\t" \
" eor %2,%2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i),"r"(j) : "r2", "r3");
#define SQRADDAC(i, j) \
__asm__( \
" mulu.d r2,%6,%7 \n\t" \
" add %0,%0,r2 \n\t" \
" adc %1,%1,r3 \n\t" \
" acr %2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j):"r2", "r3");
#define SQRADDDB \
__asm__( \
" add %0,%0,%3 \n\t" \
" adc %1,%1,%4 \n\t" \
" adc %2,%2,%5 \n\t" \
" add %0,%0,%3 \n\t" \
" adc %1,%1,%4 \n\t" \
" adc %2,%2,%5 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2) : "r"(sc0), "r"(sc1), "r"(sc2), "0"(c0), "1"(c1), "2"(c2) : "cc");
#elif defined(TFM_MIPS)
/* MIPS */
#define COMBA_START
#define CLEAR_CARRY \
c0 = c1 = c2 = 0;
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define CARRY_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_FINI
/* multiplies point i and j, updates carry "c1" and digit c2 */
#define SQRADD(i, j) \
__asm__( \
" multu %6,%6 \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):"$12","$13");
/* for squaring some of the terms are doubled... */
#define SQRADD2(i, j) \
__asm__( \
" multu %6,%7 \n\t" \
" mflo $12 \n\t" \
" mfhi $13 \n\t" \
\
" addu %0,%0,$12 \n\t" \
" sltu $14,%0,$12 \n\t" \
" addu %1,%1,$13 \n\t" \
" sltu $15,%1,$13 \n\t" \
" addu %1,%1,$14 \n\t" \
" sltu $14,%1,$14 \n\t" \
" addu %2,%2,$15 \n\t" \
" addu %2,%2,$14 \n\t" \
\
" addu %0,%0,$12 \n\t" \
" sltu $14,%0,$12 \n\t" \
" addu %1,%1,$13 \n\t" \
" sltu $15,%1,$13 \n\t" \
" addu %1,%1,$14 \n\t" \
" sltu $14,%1,$14 \n\t" \
" addu %2,%2,$15 \n\t" \
" addu %2,%2,$14 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"$12", "$13", "$14", "$15");
#define SQRADDSC(i, j) \
__asm__( \
" multu %6,%7 \n\t" \
" mflo %0 \n\t" \
" mfhi %1 \n\t" \
" xor %2,%2,%2 \n\t" \
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i),"r"(j) : "cc");
#define SQRADDAC(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"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j):"$12", "$13", "$14");
#define SQRADDDB \
__asm__( \
" addu %0,%0,%3 \n\t" \
" sltu $10,%0,%3 \n\t" \
" addu %1,%1,$10 \n\t" \
" sltu $10,%1,$10 \n\t" \
" addu %1,%1,%4 \n\t" \
" sltu $11,%1,%4 \n\t" \
" addu %2,%2,$10 \n\t" \
" addu %2,%2,$11 \n\t" \
" addu %2,%2,%5 \n\t" \
\
" addu %0,%0,%3 \n\t" \
" sltu $10,%0,%3 \n\t" \
" addu %1,%1,$10 \n\t" \
" sltu $10,%1,$10 \n\t" \
" addu %1,%1,%4 \n\t" \
" sltu $11,%1,%4 \n\t" \
" addu %2,%2,$10 \n\t" \
" addu %2,%2,$11 \n\t" \
" addu %2,%2,%5 \n\t" \
:"=r"(c0), "=r"(c1), "=r"(c2) : "r"(sc0), "r"(sc1), "r"(sc2), "0"(c0), "1"(c1), "2"(c2) : "$10", "$11");
#else
#define TFM_ISO
/* ISO C portable code */
#define COMBA_START
#define CLEAR_CARRY \
c0 = c1 = c2 = 0;
#define COMBA_STORE(x) \
x = c0;
#define COMBA_STORE2(x) \
x = c1;
#define CARRY_FORWARD \
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
#define COMBA_FINI
/* multiplies point i and j, updates carry "c1" and digit c2 */
#define SQRADD(i, j) \
do { fp_word t; \
t = c0 + ((fp_word)i) * ((fp_word)j); c0 = (fp_digit)t; \
t = c1 + (t >> DIGIT_BIT); c1 = (fp_digit)t; \
c2 +=(fp_digit) (t >> DIGIT_BIT); \
} while (0);
/* for squaring some of the terms are doubled... */
#define SQRADD2(i, j) \
do { fp_word t; \
t = ((fp_word)i) * ((fp_word)j); \
tt = (fp_word)c0 + t; c0 = (fp_digit)tt; \
tt = (fp_word)c1 + (tt >> DIGIT_BIT); c1 = (fp_digit)tt; \
c2 +=(fp_digit)(tt >> DIGIT_BIT); \
tt = (fp_word)c0 + t; c0 = (fp_digit)tt; \
tt = (fp_word)c1 + (tt >> DIGIT_BIT); c1 = (fp_digit)tt; \
c2 +=(fp_digit)(tt >> DIGIT_BIT); \
} while (0);
#define SQRADDSC(i, j) \
do { fp_word t; \
t = ((fp_word)i) * ((fp_word)j); \
sc0 = (fp_digit)t; sc1 = (t >> DIGIT_BIT); sc2 = 0; \
} while (0);
#define SQRADDAC(i, j) \
do { fp_word t; \
t = sc0 + ((fp_word)i) * ((fp_word)j); sc0 = (fp_digit)t; \
t = sc1 + (t >> DIGIT_BIT); sc1 = (fp_digit)t; \
sc2 += (fp_digit)(t >> DIGIT_BIT); \
} while (0);
#define SQRADDDB \
do { fp_word t; \
t = ((fp_word)sc0) + ((fp_word)sc0) + c0; c0 = (fp_digit)t; \
t = ((fp_word)sc1) + ((fp_word)sc1) + c1 + (t >> DIGIT_BIT); \
c1 = (fp_digit)t; \
c2 = c2 + (fp_digit)(((fp_word)sc2) + ((fp_word)sc2) + (t >> DIGIT_BIT)); \
} while (0);
#endif
#ifdef TFM_SMALL_SET
#include "fp_sqr_comba_small_set.i"
#endif
#if defined(TFM_SQR3) && FP_SIZE >= 6
#include "fp_sqr_comba_3.i"
#endif
#if defined(TFM_SQR4) && FP_SIZE >= 8
#include "fp_sqr_comba_4.i"
#endif
#if defined(TFM_SQR6) && FP_SIZE >= 12
#include "fp_sqr_comba_6.i"
#endif
#if defined(TFM_SQR7) && FP_SIZE >= 14
#include "fp_sqr_comba_7.i"
#endif
#if defined(TFM_SQR8) && FP_SIZE >= 16
#include "fp_sqr_comba_8.i"
#endif
#if defined(TFM_SQR9) && FP_SIZE >= 18
#include "fp_sqr_comba_9.i"
#endif
#if defined(TFM_SQR12) && FP_SIZE >= 24
#include "fp_sqr_comba_12.i"
#endif
#if defined(TFM_SQR17) && FP_SIZE >= 34
#include "fp_sqr_comba_17.i"
#endif
#if defined(TFM_SQR20) && FP_SIZE >= 40
#include "fp_sqr_comba_20.i"
#endif
#if defined(TFM_SQR24) && FP_SIZE >= 48
#include "fp_sqr_comba_24.i"
#endif
#if defined(TFM_SQR28) && FP_SIZE >= 56
#include "fp_sqr_comba_28.i"
#endif
#if defined(TFM_SQR32) && FP_SIZE >= 64
#include "fp_sqr_comba_32.i"
#endif
#if defined(TFM_SQR48) && FP_SIZE >= 96
#include "fp_sqr_comba_48.i"
#endif
#if defined(TFM_SQR64) && FP_SIZE >= 128
#include "fp_sqr_comba_64.i"
#endif
/* end fp_sqr_comba.c asm */
/* start fp_mul_comba.c asm */
/* 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");
#if defined(HAVE_INTEL_MULX)
#define MULADD_BODY(a,b,c) \
__asm__ volatile( \
"movq %[a0],%%rdx\n\t" \
"xorq %%rcx, %%rcx\n\t" \
"movq 0(%[cp]),%%r8\n\t" \
"movq 8(%[cp]),%%r9\n\t" \
"movq 16(%[cp]),%%r10\n\t" \
"movq 24(%[cp]),%%r11\n\t" \
"movq 32(%[cp]),%%r12\n\t" \
"movq 40(%[cp]),%%r13\n\t" \
\
"mulx (%[bp]),%%rax, %%rbx\n\t" \
"adoxq %%rax, %%r8\n\t" \
"mulx 8(%[bp]),%%rax, %%rcx\n\t" \
"adcxq %%rbx, %%r9\n\t" \
"adoxq %%rax, %%r9\n\t" \
"mulx 16(%[bp]),%%rax, %%rbx\n\t" \
"adcxq %%rcx, %%r10\n\t" \
"adoxq %%rax, %%r10\n\t" \
"mulx 24(%[bp]),%%rax, %%rcx\n\t" \
"adcxq %%rbx, %%r11\n\t" \
"adoxq %%rax, %%r11\n\t" \
"adcxq %%rcx, %%r12\n\t" \
"mov $0, %%rdx\n\t" \
"adox %%rdx, %%r12\n\t" \
"adcx %%rdx, %%r13\n\t" \
\
"movq %%r8, 0(%[cp])\n\t" \
"movq %%r9, 8(%[cp])\n\t" \
"movq %%r10, 16(%[cp])\n\t" \
"movq %%r11, 24(%[cp])\n\t" \
"movq %%r12, 32(%[cp])\n\t" \
"movq %%r13, 40(%[cp])\n\t" \
: \
: [a0] "r" (a->dp[ix]), [bp] "r" (&(b->dp[iy])), \
[cp] "r" (&(c->dp[iz])) \
: "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", \
"%rdx", "%rax", "%rcx", "%rbx" \
)
#define TFM_INTEL_MUL_COMBA(a, b, c) \
for (iz=0; iz<pa; iz++) c->dp[iz] = 0; \
for (ix=0; ix<a->used; ix++) { \
for (iy=0; iy<b->used; iy+=4) { \
iz = ix + iy; \
MULADD_BODY(a, b, c); \
} \
}
#endif
#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)
/* 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 = (fp_digit)t; \
t = (fp_word)c1 + (t >> DIGIT_BIT); \
c1 = (fp_digit)t; \
c2 += (fp_digit)(t >> DIGIT_BIT); \
} while (0);
#endif
#ifdef TFM_SMALL_SET
#include "fp_mul_comba_small_set.i"
#endif
#if defined(TFM_MUL3) && FP_SIZE >= 6
#include "fp_mul_comba_3.i"
#endif
#if defined(TFM_MUL4) && FP_SIZE >= 8
#include "fp_mul_comba_4.i"
#endif
#if defined(TFM_MUL6) && FP_SIZE >= 12
#include "fp_mul_comba_6.i"
#endif
#if defined(TFM_MUL7) && FP_SIZE >= 14
#include "fp_mul_comba_7.i"
#endif
#if defined(TFM_MUL8) && FP_SIZE >= 16
#include "fp_mul_comba_8.i"
#endif
#if defined(TFM_MUL9) && FP_SIZE >= 18
#include "fp_mul_comba_9.i"
#endif
#if defined(TFM_MUL12) && FP_SIZE >= 24
#include "fp_mul_comba_12.i"
#endif
#if defined(TFM_MUL17) && FP_SIZE >= 34
#include "fp_mul_comba_17.i"
#endif
#if defined(TFM_MUL20) && FP_SIZE >= 40
#include "fp_mul_comba_20.i"
#endif
#if defined(TFM_MUL24) && FP_SIZE >= 48
#include "fp_mul_comba_24.i"
#endif
#if defined(TFM_MUL28) && FP_SIZE >= 56
#include "fp_mul_comba_28.i"
#endif
#if defined(TFM_MUL32) && FP_SIZE >= 64
#include "fp_mul_comba_32.i"
#endif
#if defined(TFM_MUL48) && FP_SIZE >= 96
#include "fp_mul_comba_48.i"
#endif
#if defined(TFM_MUL64) && FP_SIZE >= 128
#include "fp_mul_comba_64.i"
#endif
/* end fp_mul_comba.c asm */