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c788b4cb5a
On x32, pointers are only 4-bytes wide and need to be loaded using the "movl" instruction instead of "movq" to avoid loading garbage into the register. The MULADDC routines for x86-64 are adjusted to work on x32 as well by getting gcc to load all the registers for us in advance (and storing them later) by using better register constraints. The b, c, D and S constraints correspond to the rbx, rcx, rdi and rsi registers respectively.
886 lines
34 KiB
C
886 lines
34 KiB
C
/**
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* \file bn_mul.h
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*
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* \brief Multi-precision integer library
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*
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* Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
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* SPDX-License-Identifier: Apache-2.0
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*
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* Licensed under the Apache License, Version 2.0 (the "License"); you may
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* not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
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* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*
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* This file is part of mbed TLS (https://tls.mbed.org)
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*/
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/*
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* Multiply source vector [s] with b, add result
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* to destination vector [d] and set carry c.
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*
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* Currently supports:
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*
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* . IA-32 (386+) . AMD64 / EM64T
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* . IA-32 (SSE2) . Motorola 68000
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* . PowerPC, 32-bit . MicroBlaze
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* . PowerPC, 64-bit . TriCore
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* . SPARC v8 . ARM v3+
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* . Alpha . MIPS32
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* . C, longlong . C, generic
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*/
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#ifndef MBEDTLS_BN_MUL_H
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#define MBEDTLS_BN_MUL_H
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#include "bignum.h"
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#if defined(MBEDTLS_HAVE_ASM)
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#ifndef asm
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#define asm __asm
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#endif
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/* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */
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#if defined(__GNUC__) && \
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( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 )
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#if defined(__i386__)
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#define MULADDC_INIT \
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asm( \
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"movl %%ebx, %0 \n\t" \
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"movl %5, %%esi \n\t" \
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"movl %6, %%edi \n\t" \
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"movl %7, %%ecx \n\t" \
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"movl %8, %%ebx \n\t"
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#define MULADDC_CORE \
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"lodsl \n\t" \
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"mull %%ebx \n\t" \
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"addl %%ecx, %%eax \n\t" \
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"adcl $0, %%edx \n\t" \
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"addl (%%edi), %%eax \n\t" \
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"adcl $0, %%edx \n\t" \
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"movl %%edx, %%ecx \n\t" \
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"stosl \n\t"
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#if defined(MBEDTLS_HAVE_SSE2)
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#define MULADDC_HUIT \
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"movd %%ecx, %%mm1 \n\t" \
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"movd %%ebx, %%mm0 \n\t" \
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"movd (%%edi), %%mm3 \n\t" \
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"paddq %%mm3, %%mm1 \n\t" \
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"movd (%%esi), %%mm2 \n\t" \
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"pmuludq %%mm0, %%mm2 \n\t" \
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"movd 4(%%esi), %%mm4 \n\t" \
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"pmuludq %%mm0, %%mm4 \n\t" \
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"movd 8(%%esi), %%mm6 \n\t" \
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"pmuludq %%mm0, %%mm6 \n\t" \
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"movd 12(%%esi), %%mm7 \n\t" \
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"pmuludq %%mm0, %%mm7 \n\t" \
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"paddq %%mm2, %%mm1 \n\t" \
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"movd 4(%%edi), %%mm3 \n\t" \
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"paddq %%mm4, %%mm3 \n\t" \
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"movd 8(%%edi), %%mm5 \n\t" \
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"paddq %%mm6, %%mm5 \n\t" \
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"movd 12(%%edi), %%mm4 \n\t" \
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"paddq %%mm4, %%mm7 \n\t" \
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"movd %%mm1, (%%edi) \n\t" \
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"movd 16(%%esi), %%mm2 \n\t" \
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"pmuludq %%mm0, %%mm2 \n\t" \
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"psrlq $32, %%mm1 \n\t" \
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"movd 20(%%esi), %%mm4 \n\t" \
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"pmuludq %%mm0, %%mm4 \n\t" \
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"paddq %%mm3, %%mm1 \n\t" \
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"movd 24(%%esi), %%mm6 \n\t" \
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"pmuludq %%mm0, %%mm6 \n\t" \
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"movd %%mm1, 4(%%edi) \n\t" \
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"psrlq $32, %%mm1 \n\t" \
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"movd 28(%%esi), %%mm3 \n\t" \
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"pmuludq %%mm0, %%mm3 \n\t" \
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"paddq %%mm5, %%mm1 \n\t" \
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"movd 16(%%edi), %%mm5 \n\t" \
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"paddq %%mm5, %%mm2 \n\t" \
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"movd %%mm1, 8(%%edi) \n\t" \
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"psrlq $32, %%mm1 \n\t" \
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"paddq %%mm7, %%mm1 \n\t" \
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"movd 20(%%edi), %%mm5 \n\t" \
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"paddq %%mm5, %%mm4 \n\t" \
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"movd %%mm1, 12(%%edi) \n\t" \
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"psrlq $32, %%mm1 \n\t" \
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"paddq %%mm2, %%mm1 \n\t" \
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"movd 24(%%edi), %%mm5 \n\t" \
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"paddq %%mm5, %%mm6 \n\t" \
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"movd %%mm1, 16(%%edi) \n\t" \
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"psrlq $32, %%mm1 \n\t" \
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"paddq %%mm4, %%mm1 \n\t" \
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"movd 28(%%edi), %%mm5 \n\t" \
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"paddq %%mm5, %%mm3 \n\t" \
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"movd %%mm1, 20(%%edi) \n\t" \
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"psrlq $32, %%mm1 \n\t" \
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"paddq %%mm6, %%mm1 \n\t" \
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"movd %%mm1, 24(%%edi) \n\t" \
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"psrlq $32, %%mm1 \n\t" \
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"paddq %%mm3, %%mm1 \n\t" \
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"movd %%mm1, 28(%%edi) \n\t" \
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"addl $32, %%edi \n\t" \
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"addl $32, %%esi \n\t" \
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"psrlq $32, %%mm1 \n\t" \
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"movd %%mm1, %%ecx \n\t"
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#define MULADDC_STOP \
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"emms \n\t" \
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"movl %4, %%ebx \n\t" \
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"movl %%ecx, %1 \n\t" \
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"movl %%edi, %2 \n\t" \
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"movl %%esi, %3 \n\t" \
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: "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
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: "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
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: "eax", "ecx", "edx", "esi", "edi" \
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);
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#else
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#define MULADDC_STOP \
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"movl %4, %%ebx \n\t" \
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"movl %%ecx, %1 \n\t" \
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"movl %%edi, %2 \n\t" \
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"movl %%esi, %3 \n\t" \
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: "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
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: "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
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: "eax", "ecx", "edx", "esi", "edi" \
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);
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#endif /* SSE2 */
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#endif /* i386 */
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#if defined(__amd64__) || defined (__x86_64__)
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#define MULADDC_INIT \
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asm( \
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"xorq %%r8, %%r8 \n\t"
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#define MULADDC_CORE \
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"movq (%%rsi), %%rax \n\t" \
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"mulq %%rbx \n\t" \
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"addq $8, %%rsi \n\t" \
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"addq %%rcx, %%rax \n\t" \
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"movq %%r8, %%rcx \n\t" \
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"adcq $0, %%rdx \n\t" \
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"nop \n\t" \
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"addq %%rax, (%%rdi) \n\t" \
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"adcq %%rdx, %%rcx \n\t" \
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"addq $8, %%rdi \n\t"
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#define MULADDC_STOP \
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: "+c" (c), "+D" (d), "+S" (s) \
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: "b" (b) \
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: "rax", "rdx", "r8" \
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);
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#endif /* AMD64 */
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#if defined(__mc68020__) || defined(__mcpu32__)
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#define MULADDC_INIT \
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asm( \
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"movl %3, %%a2 \n\t" \
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"movl %4, %%a3 \n\t" \
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"movl %5, %%d3 \n\t" \
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"movl %6, %%d2 \n\t" \
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"moveq #0, %%d0 \n\t"
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#define MULADDC_CORE \
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"movel %%a2@+, %%d1 \n\t" \
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"mulul %%d2, %%d4:%%d1 \n\t" \
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"addl %%d3, %%d1 \n\t" \
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"addxl %%d0, %%d4 \n\t" \
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"moveq #0, %%d3 \n\t" \
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"addl %%d1, %%a3@+ \n\t" \
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"addxl %%d4, %%d3 \n\t"
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#define MULADDC_STOP \
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"movl %%d3, %0 \n\t" \
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"movl %%a3, %1 \n\t" \
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"movl %%a2, %2 \n\t" \
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: "=m" (c), "=m" (d), "=m" (s) \
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: "m" (s), "m" (d), "m" (c), "m" (b) \
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: "d0", "d1", "d2", "d3", "d4", "a2", "a3" \
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);
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#define MULADDC_HUIT \
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"movel %%a2@+, %%d1 \n\t" \
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"mulul %%d2, %%d4:%%d1 \n\t" \
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"addxl %%d3, %%d1 \n\t" \
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"addxl %%d0, %%d4 \n\t" \
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"addl %%d1, %%a3@+ \n\t" \
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"movel %%a2@+, %%d1 \n\t" \
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"mulul %%d2, %%d3:%%d1 \n\t" \
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"addxl %%d4, %%d1 \n\t" \
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"addxl %%d0, %%d3 \n\t" \
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"addl %%d1, %%a3@+ \n\t" \
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"movel %%a2@+, %%d1 \n\t" \
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"mulul %%d2, %%d4:%%d1 \n\t" \
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"addxl %%d3, %%d1 \n\t" \
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"addxl %%d0, %%d4 \n\t" \
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"addl %%d1, %%a3@+ \n\t" \
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"movel %%a2@+, %%d1 \n\t" \
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"mulul %%d2, %%d3:%%d1 \n\t" \
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"addxl %%d4, %%d1 \n\t" \
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"addxl %%d0, %%d3 \n\t" \
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"addl %%d1, %%a3@+ \n\t" \
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"movel %%a2@+, %%d1 \n\t" \
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"mulul %%d2, %%d4:%%d1 \n\t" \
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"addxl %%d3, %%d1 \n\t" \
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"addxl %%d0, %%d4 \n\t" \
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"addl %%d1, %%a3@+ \n\t" \
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"movel %%a2@+, %%d1 \n\t" \
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"mulul %%d2, %%d3:%%d1 \n\t" \
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"addxl %%d4, %%d1 \n\t" \
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"addxl %%d0, %%d3 \n\t" \
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"addl %%d1, %%a3@+ \n\t" \
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"movel %%a2@+, %%d1 \n\t" \
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"mulul %%d2, %%d4:%%d1 \n\t" \
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"addxl %%d3, %%d1 \n\t" \
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"addxl %%d0, %%d4 \n\t" \
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"addl %%d1, %%a3@+ \n\t" \
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"movel %%a2@+, %%d1 \n\t" \
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"mulul %%d2, %%d3:%%d1 \n\t" \
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"addxl %%d4, %%d1 \n\t" \
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"addxl %%d0, %%d3 \n\t" \
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"addl %%d1, %%a3@+ \n\t" \
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"addxl %%d0, %%d3 \n\t"
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#endif /* MC68000 */
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#if defined(__powerpc64__) || defined(__ppc64__)
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#if defined(__MACH__) && defined(__APPLE__)
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#define MULADDC_INIT \
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asm( \
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"ld r3, %3 \n\t" \
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"ld r4, %4 \n\t" \
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"ld r5, %5 \n\t" \
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"ld r6, %6 \n\t" \
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"addi r3, r3, -8 \n\t" \
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"addi r4, r4, -8 \n\t" \
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"addic r5, r5, 0 \n\t"
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#define MULADDC_CORE \
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"ldu r7, 8(r3) \n\t" \
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"mulld r8, r7, r6 \n\t" \
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"mulhdu r9, r7, r6 \n\t" \
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"adde r8, r8, r5 \n\t" \
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"ld r7, 8(r4) \n\t" \
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"addze r5, r9 \n\t" \
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"addc r8, r8, r7 \n\t" \
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"stdu r8, 8(r4) \n\t"
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#define MULADDC_STOP \
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"addze r5, r5 \n\t" \
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"addi r4, r4, 8 \n\t" \
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"addi r3, r3, 8 \n\t" \
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"std r5, %0 \n\t" \
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"std r4, %1 \n\t" \
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"std r3, %2 \n\t" \
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: "=m" (c), "=m" (d), "=m" (s) \
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: "m" (s), "m" (d), "m" (c), "m" (b) \
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: "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
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);
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#else /* __MACH__ && __APPLE__ */
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#define MULADDC_INIT \
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asm( \
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"ld %%r3, %3 \n\t" \
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"ld %%r4, %4 \n\t" \
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"ld %%r5, %5 \n\t" \
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"ld %%r6, %6 \n\t" \
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"addi %%r3, %%r3, -8 \n\t" \
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"addi %%r4, %%r4, -8 \n\t" \
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"addic %%r5, %%r5, 0 \n\t"
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#define MULADDC_CORE \
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"ldu %%r7, 8(%%r3) \n\t" \
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"mulld %%r8, %%r7, %%r6 \n\t" \
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"mulhdu %%r9, %%r7, %%r6 \n\t" \
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"adde %%r8, %%r8, %%r5 \n\t" \
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"ld %%r7, 8(%%r4) \n\t" \
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"addze %%r5, %%r9 \n\t" \
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"addc %%r8, %%r8, %%r7 \n\t" \
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"stdu %%r8, 8(%%r4) \n\t"
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#define MULADDC_STOP \
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"addze %%r5, %%r5 \n\t" \
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"addi %%r4, %%r4, 8 \n\t" \
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"addi %%r3, %%r3, 8 \n\t" \
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"std %%r5, %0 \n\t" \
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"std %%r4, %1 \n\t" \
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"std %%r3, %2 \n\t" \
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: "=m" (c), "=m" (d), "=m" (s) \
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: "m" (s), "m" (d), "m" (c), "m" (b) \
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: "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
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);
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#endif /* __MACH__ && __APPLE__ */
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#elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */
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#if defined(__MACH__) && defined(__APPLE__)
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#define MULADDC_INIT \
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asm( \
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"lwz r3, %3 \n\t" \
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"lwz r4, %4 \n\t" \
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"lwz r5, %5 \n\t" \
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"lwz r6, %6 \n\t" \
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"addi r3, r3, -4 \n\t" \
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"addi r4, r4, -4 \n\t" \
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"addic r5, r5, 0 \n\t"
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#define MULADDC_CORE \
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"lwzu r7, 4(r3) \n\t" \
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"mullw r8, r7, r6 \n\t" \
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"mulhwu r9, r7, r6 \n\t" \
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"adde r8, r8, r5 \n\t" \
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"lwz r7, 4(r4) \n\t" \
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"addze r5, r9 \n\t" \
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"addc r8, r8, r7 \n\t" \
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"stwu r8, 4(r4) \n\t"
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#define MULADDC_STOP \
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"addze r5, r5 \n\t" \
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"addi r4, r4, 4 \n\t" \
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"addi r3, r3, 4 \n\t" \
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"stw r5, %0 \n\t" \
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"stw r4, %1 \n\t" \
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"stw r3, %2 \n\t" \
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: "=m" (c), "=m" (d), "=m" (s) \
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: "m" (s), "m" (d), "m" (c), "m" (b) \
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: "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
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);
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#else /* __MACH__ && __APPLE__ */
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#define MULADDC_INIT \
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asm( \
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"lwz %%r3, %3 \n\t" \
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"lwz %%r4, %4 \n\t" \
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"lwz %%r5, %5 \n\t" \
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"lwz %%r6, %6 \n\t" \
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"addi %%r3, %%r3, -4 \n\t" \
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"addi %%r4, %%r4, -4 \n\t" \
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"addic %%r5, %%r5, 0 \n\t"
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#define MULADDC_CORE \
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"lwzu %%r7, 4(%%r3) \n\t" \
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"mullw %%r8, %%r7, %%r6 \n\t" \
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"mulhwu %%r9, %%r7, %%r6 \n\t" \
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"adde %%r8, %%r8, %%r5 \n\t" \
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"lwz %%r7, 4(%%r4) \n\t" \
|
|
"addze %%r5, %%r9 \n\t" \
|
|
"addc %%r8, %%r8, %%r7 \n\t" \
|
|
"stwu %%r8, 4(%%r4) \n\t"
|
|
|
|
#define MULADDC_STOP \
|
|
"addze %%r5, %%r5 \n\t" \
|
|
"addi %%r4, %%r4, 4 \n\t" \
|
|
"addi %%r3, %%r3, 4 \n\t" \
|
|
"stw %%r5, %0 \n\t" \
|
|
"stw %%r4, %1 \n\t" \
|
|
"stw %%r3, %2 \n\t" \
|
|
: "=m" (c), "=m" (d), "=m" (s) \
|
|
: "m" (s), "m" (d), "m" (c), "m" (b) \
|
|
: "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
|
|
);
|
|
|
|
#endif /* __MACH__ && __APPLE__ */
|
|
|
|
#endif /* PPC32 */
|
|
|
|
/*
|
|
* The Sparc(64) assembly is reported to be broken.
|
|
* Disable it for now, until we're able to fix it.
|
|
*/
|
|
#if 0 && defined(__sparc__)
|
|
#if defined(__sparc64__)
|
|
|
|
#define MULADDC_INIT \
|
|
asm( \
|
|
"ldx %3, %%o0 \n\t" \
|
|
"ldx %4, %%o1 \n\t" \
|
|
"ld %5, %%o2 \n\t" \
|
|
"ld %6, %%o3 \n\t"
|
|
|
|
#define MULADDC_CORE \
|
|
"ld [%%o0], %%o4 \n\t" \
|
|
"inc 4, %%o0 \n\t" \
|
|
"ld [%%o1], %%o5 \n\t" \
|
|
"umul %%o3, %%o4, %%o4 \n\t" \
|
|
"addcc %%o4, %%o2, %%o4 \n\t" \
|
|
"rd %%y, %%g1 \n\t" \
|
|
"addx %%g1, 0, %%g1 \n\t" \
|
|
"addcc %%o4, %%o5, %%o4 \n\t" \
|
|
"st %%o4, [%%o1] \n\t" \
|
|
"addx %%g1, 0, %%o2 \n\t" \
|
|
"inc 4, %%o1 \n\t"
|
|
|
|
#define MULADDC_STOP \
|
|
"st %%o2, %0 \n\t" \
|
|
"stx %%o1, %1 \n\t" \
|
|
"stx %%o0, %2 \n\t" \
|
|
: "=m" (c), "=m" (d), "=m" (s) \
|
|
: "m" (s), "m" (d), "m" (c), "m" (b) \
|
|
: "g1", "o0", "o1", "o2", "o3", "o4", \
|
|
"o5" \
|
|
);
|
|
|
|
#else /* __sparc64__ */
|
|
|
|
#define MULADDC_INIT \
|
|
asm( \
|
|
"ld %3, %%o0 \n\t" \
|
|
"ld %4, %%o1 \n\t" \
|
|
"ld %5, %%o2 \n\t" \
|
|
"ld %6, %%o3 \n\t"
|
|
|
|
#define MULADDC_CORE \
|
|
"ld [%%o0], %%o4 \n\t" \
|
|
"inc 4, %%o0 \n\t" \
|
|
"ld [%%o1], %%o5 \n\t" \
|
|
"umul %%o3, %%o4, %%o4 \n\t" \
|
|
"addcc %%o4, %%o2, %%o4 \n\t" \
|
|
"rd %%y, %%g1 \n\t" \
|
|
"addx %%g1, 0, %%g1 \n\t" \
|
|
"addcc %%o4, %%o5, %%o4 \n\t" \
|
|
"st %%o4, [%%o1] \n\t" \
|
|
"addx %%g1, 0, %%o2 \n\t" \
|
|
"inc 4, %%o1 \n\t"
|
|
|
|
#define MULADDC_STOP \
|
|
"st %%o2, %0 \n\t" \
|
|
"st %%o1, %1 \n\t" \
|
|
"st %%o0, %2 \n\t" \
|
|
: "=m" (c), "=m" (d), "=m" (s) \
|
|
: "m" (s), "m" (d), "m" (c), "m" (b) \
|
|
: "g1", "o0", "o1", "o2", "o3", "o4", \
|
|
"o5" \
|
|
);
|
|
|
|
#endif /* __sparc64__ */
|
|
#endif /* __sparc__ */
|
|
|
|
#if defined(__microblaze__) || defined(microblaze)
|
|
|
|
#define MULADDC_INIT \
|
|
asm( \
|
|
"lwi r3, %3 \n\t" \
|
|
"lwi r4, %4 \n\t" \
|
|
"lwi r5, %5 \n\t" \
|
|
"lwi r6, %6 \n\t" \
|
|
"andi r7, r6, 0xffff \n\t" \
|
|
"bsrli r6, r6, 16 \n\t"
|
|
|
|
#define MULADDC_CORE \
|
|
"lhui r8, r3, 0 \n\t" \
|
|
"addi r3, r3, 2 \n\t" \
|
|
"lhui r9, r3, 0 \n\t" \
|
|
"addi r3, r3, 2 \n\t" \
|
|
"mul r10, r9, r6 \n\t" \
|
|
"mul r11, r8, r7 \n\t" \
|
|
"mul r12, r9, r7 \n\t" \
|
|
"mul r13, r8, r6 \n\t" \
|
|
"bsrli r8, r10, 16 \n\t" \
|
|
"bsrli r9, r11, 16 \n\t" \
|
|
"add r13, r13, r8 \n\t" \
|
|
"add r13, r13, r9 \n\t" \
|
|
"bslli r10, r10, 16 \n\t" \
|
|
"bslli r11, r11, 16 \n\t" \
|
|
"add r12, r12, r10 \n\t" \
|
|
"addc r13, r13, r0 \n\t" \
|
|
"add r12, r12, r11 \n\t" \
|
|
"addc r13, r13, r0 \n\t" \
|
|
"lwi r10, r4, 0 \n\t" \
|
|
"add r12, r12, r10 \n\t" \
|
|
"addc r13, r13, r0 \n\t" \
|
|
"add r12, r12, r5 \n\t" \
|
|
"addc r5, r13, r0 \n\t" \
|
|
"swi r12, r4, 0 \n\t" \
|
|
"addi r4, r4, 4 \n\t"
|
|
|
|
#define MULADDC_STOP \
|
|
"swi r5, %0 \n\t" \
|
|
"swi r4, %1 \n\t" \
|
|
"swi r3, %2 \n\t" \
|
|
: "=m" (c), "=m" (d), "=m" (s) \
|
|
: "m" (s), "m" (d), "m" (c), "m" (b) \
|
|
: "r3", "r4" "r5", "r6", "r7", "r8", \
|
|
"r9", "r10", "r11", "r12", "r13" \
|
|
);
|
|
|
|
#endif /* MicroBlaze */
|
|
|
|
#if defined(__tricore__)
|
|
|
|
#define MULADDC_INIT \
|
|
asm( \
|
|
"ld.a %%a2, %3 \n\t" \
|
|
"ld.a %%a3, %4 \n\t" \
|
|
"ld.w %%d4, %5 \n\t" \
|
|
"ld.w %%d1, %6 \n\t" \
|
|
"xor %%d5, %%d5 \n\t"
|
|
|
|
#define MULADDC_CORE \
|
|
"ld.w %%d0, [%%a2+] \n\t" \
|
|
"madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \
|
|
"ld.w %%d0, [%%a3] \n\t" \
|
|
"addx %%d2, %%d2, %%d0 \n\t" \
|
|
"addc %%d3, %%d3, 0 \n\t" \
|
|
"mov %%d4, %%d3 \n\t" \
|
|
"st.w [%%a3+], %%d2 \n\t"
|
|
|
|
#define MULADDC_STOP \
|
|
"st.w %0, %%d4 \n\t" \
|
|
"st.a %1, %%a3 \n\t" \
|
|
"st.a %2, %%a2 \n\t" \
|
|
: "=m" (c), "=m" (d), "=m" (s) \
|
|
: "m" (s), "m" (d), "m" (c), "m" (b) \
|
|
: "d0", "d1", "e2", "d4", "a2", "a3" \
|
|
);
|
|
|
|
#endif /* TriCore */
|
|
|
|
/*
|
|
* gcc -O0 by default uses r7 for the frame pointer, so it complains about our
|
|
* use of r7 below, unless -fomit-frame-pointer is passed. Unfortunately,
|
|
* passing that option is not easy when building with yotta.
|
|
*
|
|
* On the other hand, -fomit-frame-pointer is implied by any -Ox options with
|
|
* x !=0, which we can detect using __OPTIMIZE__ (which is also defined by
|
|
* clang and armcc5 under the same conditions).
|
|
*
|
|
* So, only use the optimized assembly below for optimized build, which avoids
|
|
* the build error and is pretty reasonable anyway.
|
|
*/
|
|
#if defined(__GNUC__) && !defined(__OPTIMIZE__)
|
|
#define MULADDC_CANNOT_USE_R7
|
|
#endif
|
|
|
|
#if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7)
|
|
|
|
#if defined(__thumb__) && !defined(__thumb2__)
|
|
|
|
#define MULADDC_INIT \
|
|
asm( \
|
|
"ldr r0, %3 \n\t" \
|
|
"ldr r1, %4 \n\t" \
|
|
"ldr r2, %5 \n\t" \
|
|
"ldr r3, %6 \n\t" \
|
|
"lsr r7, r3, #16 \n\t" \
|
|
"mov r9, r7 \n\t" \
|
|
"lsl r7, r3, #16 \n\t" \
|
|
"lsr r7, r7, #16 \n\t" \
|
|
"mov r8, r7 \n\t"
|
|
|
|
#define MULADDC_CORE \
|
|
"ldmia r0!, {r6} \n\t" \
|
|
"lsr r7, r6, #16 \n\t" \
|
|
"lsl r6, r6, #16 \n\t" \
|
|
"lsr r6, r6, #16 \n\t" \
|
|
"mov r4, r8 \n\t" \
|
|
"mul r4, r6 \n\t" \
|
|
"mov r3, r9 \n\t" \
|
|
"mul r6, r3 \n\t" \
|
|
"mov r5, r9 \n\t" \
|
|
"mul r5, r7 \n\t" \
|
|
"mov r3, r8 \n\t" \
|
|
"mul r7, r3 \n\t" \
|
|
"lsr r3, r6, #16 \n\t" \
|
|
"add r5, r5, r3 \n\t" \
|
|
"lsr r3, r7, #16 \n\t" \
|
|
"add r5, r5, r3 \n\t" \
|
|
"add r4, r4, r2 \n\t" \
|
|
"mov r2, #0 \n\t" \
|
|
"adc r5, r2 \n\t" \
|
|
"lsl r3, r6, #16 \n\t" \
|
|
"add r4, r4, r3 \n\t" \
|
|
"adc r5, r2 \n\t" \
|
|
"lsl r3, r7, #16 \n\t" \
|
|
"add r4, r4, r3 \n\t" \
|
|
"adc r5, r2 \n\t" \
|
|
"ldr r3, [r1] \n\t" \
|
|
"add r4, r4, r3 \n\t" \
|
|
"adc r2, r5 \n\t" \
|
|
"stmia r1!, {r4} \n\t"
|
|
|
|
#define MULADDC_STOP \
|
|
"str r2, %0 \n\t" \
|
|
"str r1, %1 \n\t" \
|
|
"str r0, %2 \n\t" \
|
|
: "=m" (c), "=m" (d), "=m" (s) \
|
|
: "m" (s), "m" (d), "m" (c), "m" (b) \
|
|
: "r0", "r1", "r2", "r3", "r4", "r5", \
|
|
"r6", "r7", "r8", "r9", "cc" \
|
|
);
|
|
|
|
#else
|
|
|
|
#define MULADDC_INIT \
|
|
asm( \
|
|
"ldr r0, %3 \n\t" \
|
|
"ldr r1, %4 \n\t" \
|
|
"ldr r2, %5 \n\t" \
|
|
"ldr r3, %6 \n\t"
|
|
|
|
#define MULADDC_CORE \
|
|
"ldr r4, [r0], #4 \n\t" \
|
|
"mov r5, #0 \n\t" \
|
|
"ldr r6, [r1] \n\t" \
|
|
"umlal r2, r5, r3, r4 \n\t" \
|
|
"adds r7, r6, r2 \n\t" \
|
|
"adc r2, r5, #0 \n\t" \
|
|
"str r7, [r1], #4 \n\t"
|
|
|
|
#define MULADDC_STOP \
|
|
"str r2, %0 \n\t" \
|
|
"str r1, %1 \n\t" \
|
|
"str r0, %2 \n\t" \
|
|
: "=m" (c), "=m" (d), "=m" (s) \
|
|
: "m" (s), "m" (d), "m" (c), "m" (b) \
|
|
: "r0", "r1", "r2", "r3", "r4", "r5", \
|
|
"r6", "r7", "cc" \
|
|
);
|
|
|
|
#endif /* Thumb */
|
|
|
|
#endif /* ARMv3 */
|
|
|
|
#if defined(__alpha__)
|
|
|
|
#define MULADDC_INIT \
|
|
asm( \
|
|
"ldq $1, %3 \n\t" \
|
|
"ldq $2, %4 \n\t" \
|
|
"ldq $3, %5 \n\t" \
|
|
"ldq $4, %6 \n\t"
|
|
|
|
#define MULADDC_CORE \
|
|
"ldq $6, 0($1) \n\t" \
|
|
"addq $1, 8, $1 \n\t" \
|
|
"mulq $6, $4, $7 \n\t" \
|
|
"umulh $6, $4, $6 \n\t" \
|
|
"addq $7, $3, $7 \n\t" \
|
|
"cmpult $7, $3, $3 \n\t" \
|
|
"ldq $5, 0($2) \n\t" \
|
|
"addq $7, $5, $7 \n\t" \
|
|
"cmpult $7, $5, $5 \n\t" \
|
|
"stq $7, 0($2) \n\t" \
|
|
"addq $2, 8, $2 \n\t" \
|
|
"addq $6, $3, $3 \n\t" \
|
|
"addq $5, $3, $3 \n\t"
|
|
|
|
#define MULADDC_STOP \
|
|
"stq $3, %0 \n\t" \
|
|
"stq $2, %1 \n\t" \
|
|
"stq $1, %2 \n\t" \
|
|
: "=m" (c), "=m" (d), "=m" (s) \
|
|
: "m" (s), "m" (d), "m" (c), "m" (b) \
|
|
: "$1", "$2", "$3", "$4", "$5", "$6", "$7" \
|
|
);
|
|
#endif /* Alpha */
|
|
|
|
#if defined(__mips__) && !defined(__mips64)
|
|
|
|
#define MULADDC_INIT \
|
|
asm( \
|
|
"lw $10, %3 \n\t" \
|
|
"lw $11, %4 \n\t" \
|
|
"lw $12, %5 \n\t" \
|
|
"lw $13, %6 \n\t"
|
|
|
|
#define MULADDC_CORE \
|
|
"lw $14, 0($10) \n\t" \
|
|
"multu $13, $14 \n\t" \
|
|
"addi $10, $10, 4 \n\t" \
|
|
"mflo $14 \n\t" \
|
|
"mfhi $9 \n\t" \
|
|
"addu $14, $12, $14 \n\t" \
|
|
"lw $15, 0($11) \n\t" \
|
|
"sltu $12, $14, $12 \n\t" \
|
|
"addu $15, $14, $15 \n\t" \
|
|
"sltu $14, $15, $14 \n\t" \
|
|
"addu $12, $12, $9 \n\t" \
|
|
"sw $15, 0($11) \n\t" \
|
|
"addu $12, $12, $14 \n\t" \
|
|
"addi $11, $11, 4 \n\t"
|
|
|
|
#define MULADDC_STOP \
|
|
"sw $12, %0 \n\t" \
|
|
"sw $11, %1 \n\t" \
|
|
"sw $10, %2 \n\t" \
|
|
: "=m" (c), "=m" (d), "=m" (s) \
|
|
: "m" (s), "m" (d), "m" (c), "m" (b) \
|
|
: "$9", "$10", "$11", "$12", "$13", "$14", "$15" \
|
|
);
|
|
|
|
#endif /* MIPS */
|
|
#endif /* GNUC */
|
|
|
|
#if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__)
|
|
|
|
#define MULADDC_INIT \
|
|
__asm mov esi, s \
|
|
__asm mov edi, d \
|
|
__asm mov ecx, c \
|
|
__asm mov ebx, b
|
|
|
|
#define MULADDC_CORE \
|
|
__asm lodsd \
|
|
__asm mul ebx \
|
|
__asm add eax, ecx \
|
|
__asm adc edx, 0 \
|
|
__asm add eax, [edi] \
|
|
__asm adc edx, 0 \
|
|
__asm mov ecx, edx \
|
|
__asm stosd
|
|
|
|
#if defined(MBEDTLS_HAVE_SSE2)
|
|
|
|
#define EMIT __asm _emit
|
|
|
|
#define MULADDC_HUIT \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0xC9 \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0xC3 \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x1F \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x16 \
|
|
EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \
|
|
EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \
|
|
EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \
|
|
EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xDC \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xEE \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xFC \
|
|
EMIT 0x0F EMIT 0x7E EMIT 0x0F \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \
|
|
EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
|
|
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \
|
|
EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \
|
|
EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
|
|
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \
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EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
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|
EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \
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|
EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xCD \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \
|
|
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \
|
|
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xCF \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \
|
|
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \
|
|
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \
|
|
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \
|
|
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xCC \
|
|
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xDD \
|
|
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \
|
|
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xCE \
|
|
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \
|
|
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
|
|
EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
|
|
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \
|
|
EMIT 0x83 EMIT 0xC7 EMIT 0x20 \
|
|
EMIT 0x83 EMIT 0xC6 EMIT 0x20 \
|
|
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
|
|
EMIT 0x0F EMIT 0x7E EMIT 0xC9
|
|
|
|
#define MULADDC_STOP \
|
|
EMIT 0x0F EMIT 0x77 \
|
|
__asm mov c, ecx \
|
|
__asm mov d, edi \
|
|
__asm mov s, esi \
|
|
|
|
#else
|
|
|
|
#define MULADDC_STOP \
|
|
__asm mov c, ecx \
|
|
__asm mov d, edi \
|
|
__asm mov s, esi \
|
|
|
|
#endif /* SSE2 */
|
|
#endif /* MSVC */
|
|
|
|
#endif /* MBEDTLS_HAVE_ASM */
|
|
|
|
#if !defined(MULADDC_CORE)
|
|
#if defined(MBEDTLS_HAVE_UDBL)
|
|
|
|
#define MULADDC_INIT \
|
|
{ \
|
|
mbedtls_t_udbl r; \
|
|
mbedtls_mpi_uint r0, r1;
|
|
|
|
#define MULADDC_CORE \
|
|
r = *(s++) * (mbedtls_t_udbl) b; \
|
|
r0 = (mbedtls_mpi_uint) r; \
|
|
r1 = (mbedtls_mpi_uint)( r >> biL ); \
|
|
r0 += c; r1 += (r0 < c); \
|
|
r0 += *d; r1 += (r0 < *d); \
|
|
c = r1; *(d++) = r0;
|
|
|
|
#define MULADDC_STOP \
|
|
}
|
|
|
|
#else
|
|
#define MULADDC_INIT \
|
|
{ \
|
|
mbedtls_mpi_uint s0, s1, b0, b1; \
|
|
mbedtls_mpi_uint r0, r1, rx, ry; \
|
|
b0 = ( b << biH ) >> biH; \
|
|
b1 = ( b >> biH );
|
|
|
|
#define MULADDC_CORE \
|
|
s0 = ( *s << biH ) >> biH; \
|
|
s1 = ( *s >> biH ); s++; \
|
|
rx = s0 * b1; r0 = s0 * b0; \
|
|
ry = s1 * b0; r1 = s1 * b1; \
|
|
r1 += ( rx >> biH ); \
|
|
r1 += ( ry >> biH ); \
|
|
rx <<= biH; ry <<= biH; \
|
|
r0 += rx; r1 += (r0 < rx); \
|
|
r0 += ry; r1 += (r0 < ry); \
|
|
r0 += c; r1 += (r0 < c); \
|
|
r0 += *d; r1 += (r0 < *d); \
|
|
c = r1; *(d++) = r0;
|
|
|
|
#define MULADDC_STOP \
|
|
}
|
|
|
|
#endif /* C (generic) */
|
|
#endif /* C (longlong) */
|
|
|
|
#endif /* bn_mul.h */
|