mbed TLS v2.23.0
include
mbedtls
bn_mul.h
Go to the documentation of this file.
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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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#if !defined(MBEDTLS_CONFIG_FILE)
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#include "
mbedtls/config.h
"
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#else
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#include MBEDTLS_CONFIG_FILE
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#endif
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#include "
mbedtls/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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/*
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* Disable use of the i386 assembly code below if option -O0, to disable all
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* compiler optimisations, is passed, detected with __OPTIMIZE__
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* This is done as the number of registers used in the assembly code doesn't
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* work with the -O0 option.
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*/
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#if defined(__i386__) && defined(__OPTIMIZE__)
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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", "ebx", "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", "ebx", "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"
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#define MULADDC_CORE \
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"movq (%%rsi), %%rax\n" \
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"mulq %%rbx\n" \
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"addq $8, %%rsi\n" \
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"addq %%rcx, %%rax\n" \
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"movq %%r8, %%rcx\n" \
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"adcq $0, %%rdx\n" \
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"nop \n" \
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"addq %%rax, (%%rdi)\n" \
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"adcq %%rdx, %%rcx\n" \
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"addq $8, %%rdi\n"
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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(__aarch64__)
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#define MULADDC_INIT \
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asm(
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#define MULADDC_CORE \
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"ldr x4, [%2], #8 \n\t" \
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"ldr x5, [%1] \n\t" \
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"mul x6, x4, %3 \n\t" \
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"umulh x7, x4, %3 \n\t" \
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"adds x5, x5, x6 \n\t" \
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"adc x7, x7, xzr \n\t" \
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"adds x5, x5, %0 \n\t" \
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"adc %0, x7, xzr \n\t" \
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"str x5, [%1], #8 \n\t"
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#define MULADDC_STOP \
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: "+r" (c), "+r" (d), "+r" (s) \
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: "r" (b) \
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: "x4", "x5", "x6", "x7", "cc" \
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);
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#endif
/* Aarch64 */
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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 \
386
"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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395
#define MULADDC_STOP \
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"addze r5, r5 \n\t" \
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"addi r4, r4, 4 \n\t" \
398
"addi r3, r3, 4 \n\t" \
399
"stw r5, %0 \n\t" \
400
"stw r4, %1 \n\t" \
401
"stw r3, %2 \n\t" \
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: "=m" (c), "=m" (d), "=m" (s) \
403
: "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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409
#define MULADDC_INIT \
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asm( \
411
"lwz %%r3, %3 \n\t" \
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"lwz %%r4, %4 \n\t" \
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"lwz %%r5, %5 \n\t" \
414
"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" \
417
"addic %%r5, %%r5, 0 \n\t"
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419
#define MULADDC_CORE \
420
"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" \
426
"addc %%r8, %%r8, %%r7 \n\t" \
427
"stwu %%r8, 4(%%r4) \n\t"
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429
#define MULADDC_STOP \
430
"addze %%r5, %%r5 \n\t" \
431
"addi %%r4, %%r4, 4 \n\t" \
432
"addi %%r3, %%r3, 4 \n\t" \
433
"stw %%r5, %0 \n\t" \
434
"stw %%r4, %1 \n\t" \
435
"stw %%r3, %2 \n\t" \
436
: "=m" (c), "=m" (d), "=m" (s) \
437
: "m" (s), "m" (d), "m" (c), "m" (b) \
438
: "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
439
);
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441
#endif
/* __MACH__ && __APPLE__ */
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443
#endif
/* PPC32 */
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/*
446
* The Sparc(64) assembly is reported to be broken.
447
* Disable it for now, until we're able to fix it.
448
*/
449
#if 0 && defined(__sparc__)
450
#if defined(__sparc64__)
451
452
#define MULADDC_INIT \
453
asm( \
454
"ldx %3, %%o0 \n\t" \
455
"ldx %4, %%o1 \n\t" \
456
"ld %5, %%o2 \n\t" \
457
"ld %6, %%o3 \n\t"
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459
#define MULADDC_CORE \
460
"ld [%%o0], %%o4 \n\t" \
461
"inc 4, %%o0 \n\t" \
462
"ld [%%o1], %%o5 \n\t" \
463
"umul %%o3, %%o4, %%o4 \n\t" \
464
"addcc %%o4, %%o2, %%o4 \n\t" \
465
"rd %%y, %%g1 \n\t" \
466
"addx %%g1, 0, %%g1 \n\t" \
467
"addcc %%o4, %%o5, %%o4 \n\t" \
468
"st %%o4, [%%o1] \n\t" \
469
"addx %%g1, 0, %%o2 \n\t" \
470
"inc 4, %%o1 \n\t"
471
472
#define MULADDC_STOP \
473
"st %%o2, %0 \n\t" \
474
"stx %%o1, %1 \n\t" \
475
"stx %%o0, %2 \n\t" \
476
: "=m" (c), "=m" (d), "=m" (s) \
477
: "m" (s), "m" (d), "m" (c), "m" (b) \
478
: "g1", "o0", "o1", "o2", "o3", "o4", \
479
"o5" \
480
);
481
482
#else
/* __sparc64__ */
483
484
#define MULADDC_INIT \
485
asm( \
486
"ld %3, %%o0 \n\t" \
487
"ld %4, %%o1 \n\t" \
488
"ld %5, %%o2 \n\t" \
489
"ld %6, %%o3 \n\t"
490
491
#define MULADDC_CORE \
492
"ld [%%o0], %%o4 \n\t" \
493
"inc 4, %%o0 \n\t" \
494
"ld [%%o1], %%o5 \n\t" \
495
"umul %%o3, %%o4, %%o4 \n\t" \
496
"addcc %%o4, %%o2, %%o4 \n\t" \
497
"rd %%y, %%g1 \n\t" \
498
"addx %%g1, 0, %%g1 \n\t" \
499
"addcc %%o4, %%o5, %%o4 \n\t" \
500
"st %%o4, [%%o1] \n\t" \
501
"addx %%g1, 0, %%o2 \n\t" \
502
"inc 4, %%o1 \n\t"
503
504
#define MULADDC_STOP \
505
"st %%o2, %0 \n\t" \
506
"st %%o1, %1 \n\t" \
507
"st %%o0, %2 \n\t" \
508
: "=m" (c), "=m" (d), "=m" (s) \
509
: "m" (s), "m" (d), "m" (c), "m" (b) \
510
: "g1", "o0", "o1", "o2", "o3", "o4", \
511
"o5" \
512
);
513
514
#endif
/* __sparc64__ */
515
#endif
/* __sparc__ */
516
517
#if defined(__microblaze__) || defined(microblaze)
518
519
#define MULADDC_INIT \
520
asm( \
521
"lwi r3, %3 \n\t" \
522
"lwi r4, %4 \n\t" \
523
"lwi r5, %5 \n\t" \
524
"lwi r6, %6 \n\t" \
525
"andi r7, r6, 0xffff \n\t" \
526
"bsrli r6, r6, 16 \n\t"
527
528
#define MULADDC_CORE \
529
"lhui r8, r3, 0 \n\t" \
530
"addi r3, r3, 2 \n\t" \
531
"lhui r9, r3, 0 \n\t" \
532
"addi r3, r3, 2 \n\t" \
533
"mul r10, r9, r6 \n\t" \
534
"mul r11, r8, r7 \n\t" \
535
"mul r12, r9, r7 \n\t" \
536
"mul r13, r8, r6 \n\t" \
537
"bsrli r8, r10, 16 \n\t" \
538
"bsrli r9, r11, 16 \n\t" \
539
"add r13, r13, r8 \n\t" \
540
"add r13, r13, r9 \n\t" \
541
"bslli r10, r10, 16 \n\t" \
542
"bslli r11, r11, 16 \n\t" \
543
"add r12, r12, r10 \n\t" \
544
"addc r13, r13, r0 \n\t" \
545
"add r12, r12, r11 \n\t" \
546
"addc r13, r13, r0 \n\t" \
547
"lwi r10, r4, 0 \n\t" \
548
"add r12, r12, r10 \n\t" \
549
"addc r13, r13, r0 \n\t" \
550
"add r12, r12, r5 \n\t" \
551
"addc r5, r13, r0 \n\t" \
552
"swi r12, r4, 0 \n\t" \
553
"addi r4, r4, 4 \n\t"
554
555
#define MULADDC_STOP \
556
"swi r5, %0 \n\t" \
557
"swi r4, %1 \n\t" \
558
"swi r3, %2 \n\t" \
559
: "=m" (c), "=m" (d), "=m" (s) \
560
: "m" (s), "m" (d), "m" (c), "m" (b) \
561
: "r3", "r4", "r5", "r6", "r7", "r8", \
562
"r9", "r10", "r11", "r12", "r13" \
563
);
564
565
#endif
/* MicroBlaze */
566
567
#if defined(__tricore__)
568
569
#define MULADDC_INIT \
570
asm( \
571
"ld.a %%a2, %3 \n\t" \
572
"ld.a %%a3, %4 \n\t" \
573
"ld.w %%d4, %5 \n\t" \
574
"ld.w %%d1, %6 \n\t" \
575
"xor %%d5, %%d5 \n\t"
576
577
#define MULADDC_CORE \
578
"ld.w %%d0, [%%a2+] \n\t" \
579
"madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \
580
"ld.w %%d0, [%%a3] \n\t" \
581
"addx %%d2, %%d2, %%d0 \n\t" \
582
"addc %%d3, %%d3, 0 \n\t" \
583
"mov %%d4, %%d3 \n\t" \
584
"st.w [%%a3+], %%d2 \n\t"
585
586
#define MULADDC_STOP \
587
"st.w %0, %%d4 \n\t" \
588
"st.a %1, %%a3 \n\t" \
589
"st.a %2, %%a2 \n\t" \
590
: "=m" (c), "=m" (d), "=m" (s) \
591
: "m" (s), "m" (d), "m" (c), "m" (b) \
592
: "d0", "d1", "e2", "d4", "a2", "a3" \
593
);
594
595
#endif
/* TriCore */
596
597
/*
598
* Note, gcc -O0 by default uses r7 for the frame pointer, so it complains about
599
* our use of r7 below, unless -fomit-frame-pointer is passed.
600
*
601
* On the other hand, -fomit-frame-pointer is implied by any -Ox options with
602
* x !=0, which we can detect using __OPTIMIZE__ (which is also defined by
603
* clang and armcc5 under the same conditions).
604
*
605
* So, only use the optimized assembly below for optimized build, which avoids
606
* the build error and is pretty reasonable anyway.
607
*/
608
#if defined(__GNUC__) && !defined(__OPTIMIZE__)
609
#define MULADDC_CANNOT_USE_R7
610
#endif
611
612
#if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7)
613
614
#if defined(__thumb__) && !defined(__thumb2__)
615
616
#define MULADDC_INIT \
617
asm( \
618
"ldr r0, %3 \n\t" \
619
"ldr r1, %4 \n\t" \
620
"ldr r2, %5 \n\t" \
621
"ldr r3, %6 \n\t" \
622
"lsr r7, r3, #16 \n\t" \
623
"mov r9, r7 \n\t" \
624
"lsl r7, r3, #16 \n\t" \
625
"lsr r7, r7, #16 \n\t" \
626
"mov r8, r7 \n\t"
627
628
#define MULADDC_CORE \
629
"ldmia r0!, {r6} \n\t" \
630
"lsr r7, r6, #16 \n\t" \
631
"lsl r6, r6, #16 \n\t" \
632
"lsr r6, r6, #16 \n\t" \
633
"mov r4, r8 \n\t" \
634
"mul r4, r6 \n\t" \
635
"mov r3, r9 \n\t" \
636
"mul r6, r3 \n\t" \
637
"mov r5, r9 \n\t" \
638
"mul r5, r7 \n\t" \
639
"mov r3, r8 \n\t" \
640
"mul r7, r3 \n\t" \
641
"lsr r3, r6, #16 \n\t" \
642
"add r5, r5, r3 \n\t" \
643
"lsr r3, r7, #16 \n\t" \
644
"add r5, r5, r3 \n\t" \
645
"add r4, r4, r2 \n\t" \
646
"mov r2, #0 \n\t" \
647
"adc r5, r2 \n\t" \
648
"lsl r3, r6, #16 \n\t" \
649
"add r4, r4, r3 \n\t" \
650
"adc r5, r2 \n\t" \
651
"lsl r3, r7, #16 \n\t" \
652
"add r4, r4, r3 \n\t" \
653
"adc r5, r2 \n\t" \
654
"ldr r3, [r1] \n\t" \
655
"add r4, r4, r3 \n\t" \
656
"adc r2, r5 \n\t" \
657
"stmia r1!, {r4} \n\t"
658
659
#define MULADDC_STOP \
660
"str r2, %0 \n\t" \
661
"str r1, %1 \n\t" \
662
"str r0, %2 \n\t" \
663
: "=m" (c), "=m" (d), "=m" (s) \
664
: "m" (s), "m" (d), "m" (c), "m" (b) \
665
: "r0", "r1", "r2", "r3", "r4", "r5", \
666
"r6", "r7", "r8", "r9", "cc" \
667
);
668
669
#elif (__ARM_ARCH >= 6) && \
670
defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)
671
672
#define MULADDC_INIT \
673
asm(
674
675
#define MULADDC_CORE \
676
"ldr r0, [%0], #4 \n\t" \
677
"ldr r1, [%1] \n\t" \
678
"umaal r1, %2, %3, r0 \n\t" \
679
"str r1, [%1], #4 \n\t"
680
681
#define MULADDC_STOP \
682
: "=r" (s), "=r" (d), "=r" (c) \
683
: "r" (b), "0" (s), "1" (d), "2" (c) \
684
: "r0", "r1", "memory" \
685
);
686
687
#else
688
689
#define MULADDC_INIT \
690
asm( \
691
"ldr r0, %3 \n\t" \
692
"ldr r1, %4 \n\t" \
693
"ldr r2, %5 \n\t" \
694
"ldr r3, %6 \n\t"
695
696
#define MULADDC_CORE \
697
"ldr r4, [r0], #4 \n\t" \
698
"mov r5, #0 \n\t" \
699
"ldr r6, [r1] \n\t" \
700
"umlal r2, r5, r3, r4 \n\t" \
701
"adds r7, r6, r2 \n\t" \
702
"adc r2, r5, #0 \n\t" \
703
"str r7, [r1], #4 \n\t"
704
705
#define MULADDC_STOP \
706
"str r2, %0 \n\t" \
707
"str r1, %1 \n\t" \
708
"str r0, %2 \n\t" \
709
: "=m" (c), "=m" (d), "=m" (s) \
710
: "m" (s), "m" (d), "m" (c), "m" (b) \
711
: "r0", "r1", "r2", "r3", "r4", "r5", \
712
"r6", "r7", "cc" \
713
);
714
715
#endif
/* Thumb */
716
717
#endif
/* ARMv3 */
718
719
#if defined(__alpha__)
720
721
#define MULADDC_INIT \
722
asm( \
723
"ldq $1, %3 \n\t" \
724
"ldq $2, %4 \n\t" \
725
"ldq $3, %5 \n\t" \
726
"ldq $4, %6 \n\t"
727
728
#define MULADDC_CORE \
729
"ldq $6, 0($1) \n\t" \
730
"addq $1, 8, $1 \n\t" \
731
"mulq $6, $4, $7 \n\t" \
732
"umulh $6, $4, $6 \n\t" \
733
"addq $7, $3, $7 \n\t" \
734
"cmpult $7, $3, $3 \n\t" \
735
"ldq $5, 0($2) \n\t" \
736
"addq $7, $5, $7 \n\t" \
737
"cmpult $7, $5, $5 \n\t" \
738
"stq $7, 0($2) \n\t" \
739
"addq $2, 8, $2 \n\t" \
740
"addq $6, $3, $3 \n\t" \
741
"addq $5, $3, $3 \n\t"
742
743
#define MULADDC_STOP \
744
"stq $3, %0 \n\t" \
745
"stq $2, %1 \n\t" \
746
"stq $1, %2 \n\t" \
747
: "=m" (c), "=m" (d), "=m" (s) \
748
: "m" (s), "m" (d), "m" (c), "m" (b) \
749
: "$1", "$2", "$3", "$4", "$5", "$6", "$7" \
750
);
751
#endif
/* Alpha */
752
753
#if defined(__mips__) && !defined(__mips64)
754
755
#define MULADDC_INIT \
756
asm( \
757
"lw $10, %3 \n\t" \
758
"lw $11, %4 \n\t" \
759
"lw $12, %5 \n\t" \
760
"lw $13, %6 \n\t"
761
762
#define MULADDC_CORE \
763
"lw $14, 0($10) \n\t" \
764
"multu $13, $14 \n\t" \
765
"addi $10, $10, 4 \n\t" \
766
"mflo $14 \n\t" \
767
"mfhi $9 \n\t" \
768
"addu $14, $12, $14 \n\t" \
769
"lw $15, 0($11) \n\t" \
770
"sltu $12, $14, $12 \n\t" \
771
"addu $15, $14, $15 \n\t" \
772
"sltu $14, $15, $14 \n\t" \
773
"addu $12, $12, $9 \n\t" \
774
"sw $15, 0($11) \n\t" \
775
"addu $12, $12, $14 \n\t" \
776
"addi $11, $11, 4 \n\t"
777
778
#define MULADDC_STOP \
779
"sw $12, %0 \n\t" \
780
"sw $11, %1 \n\t" \
781
"sw $10, %2 \n\t" \
782
: "=m" (c), "=m" (d), "=m" (s) \
783
: "m" (s), "m" (d), "m" (c), "m" (b) \
784
: "$9", "$10", "$11", "$12", "$13", "$14", "$15", "lo", "hi" \
785
);
786
787
#endif
/* MIPS */
788
#endif
/* GNUC */
789
790
#if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__)
791
792
#define MULADDC_INIT \
793
__asm mov esi, s \
794
__asm mov edi, d \
795
__asm mov ecx, c \
796
__asm mov ebx, b
797
798
#define MULADDC_CORE \
799
__asm lodsd \
800
__asm mul ebx \
801
__asm add eax, ecx \
802
__asm adc edx, 0 \
803
__asm add eax, [edi] \
804
__asm adc edx, 0 \
805
__asm mov ecx, edx \
806
__asm stosd
807
808
#if defined(MBEDTLS_HAVE_SSE2)
809
810
#define EMIT __asm _emit
811
812
#define MULADDC_HUIT \
813
EMIT 0x0F EMIT 0x6E EMIT 0xC9 \
814
EMIT 0x0F EMIT 0x6E EMIT 0xC3 \
815
EMIT 0x0F EMIT 0x6E EMIT 0x1F \
816
EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
817
EMIT 0x0F EMIT 0x6E EMIT 0x16 \
818
EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
819
EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \
820
EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
821
EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \
822
EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
823
EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \
824
EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \
825
EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
826
EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \
827
EMIT 0x0F EMIT 0xD4 EMIT 0xDC \
828
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \
829
EMIT 0x0F EMIT 0xD4 EMIT 0xEE \
830
EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \
831
EMIT 0x0F EMIT 0xD4 EMIT 0xFC \
832
EMIT 0x0F EMIT 0x7E EMIT 0x0F \
833
EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \
834
EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
835
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
836
EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \
837
EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
838
EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
839
EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \
840
EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
841
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \
842
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
843
EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \
844
EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \
845
EMIT 0x0F EMIT 0xD4 EMIT 0xCD \
846
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \
847
EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \
848
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \
849
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
850
EMIT 0x0F EMIT 0xD4 EMIT 0xCF \
851
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \
852
EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \
853
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \
854
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
855
EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
856
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \
857
EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \
858
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \
859
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
860
EMIT 0x0F EMIT 0xD4 EMIT 0xCC \
861
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \
862
EMIT 0x0F EMIT 0xD4 EMIT 0xDD \
863
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \
864
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
865
EMIT 0x0F EMIT 0xD4 EMIT 0xCE \
866
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \
867
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
868
EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
869
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \
870
EMIT 0x83 EMIT 0xC7 EMIT 0x20 \
871
EMIT 0x83 EMIT 0xC6 EMIT 0x20 \
872
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
873
EMIT 0x0F EMIT 0x7E EMIT 0xC9
874
875
#define MULADDC_STOP \
876
EMIT 0x0F EMIT 0x77 \
877
__asm mov c, ecx \
878
__asm mov d, edi \
879
__asm mov s, esi \
880
881
#else
882
883
#define MULADDC_STOP \
884
__asm mov c, ecx \
885
__asm mov d, edi \
886
__asm mov s, esi \
887
888
#endif
/* SSE2 */
889
#endif
/* MSVC */
890
891
#endif
/* MBEDTLS_HAVE_ASM */
892
893
#if !defined(MULADDC_CORE)
894
#if defined(MBEDTLS_HAVE_UDBL)
895
896
#define MULADDC_INIT \
897
{ \
898
mbedtls_t_udbl r; \
899
mbedtls_mpi_uint r0, r1;
900
901
#define MULADDC_CORE \
902
r = *(s++) * (mbedtls_t_udbl) b; \
903
r0 = (mbedtls_mpi_uint) r; \
904
r1 = (mbedtls_mpi_uint)( r >> biL ); \
905
r0 += c; r1 += (r0 < c); \
906
r0 += *d; r1 += (r0 < *d); \
907
c = r1; *(d++) = r0;
908
909
#define MULADDC_STOP \
910
}
911
912
#else
913
#define MULADDC_INIT \
914
{ \
915
mbedtls_mpi_uint s0, s1, b0, b1; \
916
mbedtls_mpi_uint r0, r1, rx, ry; \
917
b0 = ( b << biH ) >> biH; \
918
b1 = ( b >> biH );
919
920
#define MULADDC_CORE \
921
s0 = ( *s << biH ) >> biH; \
922
s1 = ( *s >> biH ); s++; \
923
rx = s0 * b1; r0 = s0 * b0; \
924
ry = s1 * b0; r1 = s1 * b1; \
925
r1 += ( rx >> biH ); \
926
r1 += ( ry >> biH ); \
927
rx <<= biH; ry <<= biH; \
928
r0 += rx; r1 += (r0 < rx); \
929
r0 += ry; r1 += (r0 < ry); \
930
r0 += c; r1 += (r0 < c); \
931
r0 += *d; r1 += (r0 < *d); \
932
c = r1; *(d++) = r0;
933
934
#define MULADDC_STOP \
935
}
936
937
#endif
/* C (generic) */
938
#endif
/* C (longlong) */
939
940
#endif
/* bn_mul.h */
bignum.h
Multi-precision integer library.
config.h
Configuration options (set of defines)
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