mbed TLS v2.16.0
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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#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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/*
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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(__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" \
383
"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 \
400
"addze %%r5, %%r5 \n\t" \
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"addi %%r4, %%r4, 4 \n\t" \
402
"addi %%r3, %%r3, 4 \n\t" \
403
"stw %%r5, %0 \n\t" \
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"stw %%r4, %1 \n\t" \
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"stw %%r3, %2 \n\t" \
406
: "=m" (c), "=m" (d), "=m" (s) \
407
: "m" (s), "m" (d), "m" (c), "m" (b) \
408
: "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
409
);
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411
#endif
/* __MACH__ && __APPLE__ */
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#endif
/* PPC32 */
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415
/*
416
* The Sparc(64) assembly is reported to be broken.
417
* Disable it for now, until we're able to fix it.
418
*/
419
#if 0 && defined(__sparc__)
420
#if defined(__sparc64__)
421
422
#define MULADDC_INIT \
423
asm( \
424
"ldx %3, %%o0 \n\t" \
425
"ldx %4, %%o1 \n\t" \
426
"ld %5, %%o2 \n\t" \
427
"ld %6, %%o3 \n\t"
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429
#define MULADDC_CORE \
430
"ld [%%o0], %%o4 \n\t" \
431
"inc 4, %%o0 \n\t" \
432
"ld [%%o1], %%o5 \n\t" \
433
"umul %%o3, %%o4, %%o4 \n\t" \
434
"addcc %%o4, %%o2, %%o4 \n\t" \
435
"rd %%y, %%g1 \n\t" \
436
"addx %%g1, 0, %%g1 \n\t" \
437
"addcc %%o4, %%o5, %%o4 \n\t" \
438
"st %%o4, [%%o1] \n\t" \
439
"addx %%g1, 0, %%o2 \n\t" \
440
"inc 4, %%o1 \n\t"
441
442
#define MULADDC_STOP \
443
"st %%o2, %0 \n\t" \
444
"stx %%o1, %1 \n\t" \
445
"stx %%o0, %2 \n\t" \
446
: "=m" (c), "=m" (d), "=m" (s) \
447
: "m" (s), "m" (d), "m" (c), "m" (b) \
448
: "g1", "o0", "o1", "o2", "o3", "o4", \
449
"o5" \
450
);
451
452
#else
/* __sparc64__ */
453
454
#define MULADDC_INIT \
455
asm( \
456
"ld %3, %%o0 \n\t" \
457
"ld %4, %%o1 \n\t" \
458
"ld %5, %%o2 \n\t" \
459
"ld %6, %%o3 \n\t"
460
461
#define MULADDC_CORE \
462
"ld [%%o0], %%o4 \n\t" \
463
"inc 4, %%o0 \n\t" \
464
"ld [%%o1], %%o5 \n\t" \
465
"umul %%o3, %%o4, %%o4 \n\t" \
466
"addcc %%o4, %%o2, %%o4 \n\t" \
467
"rd %%y, %%g1 \n\t" \
468
"addx %%g1, 0, %%g1 \n\t" \
469
"addcc %%o4, %%o5, %%o4 \n\t" \
470
"st %%o4, [%%o1] \n\t" \
471
"addx %%g1, 0, %%o2 \n\t" \
472
"inc 4, %%o1 \n\t"
473
474
#define MULADDC_STOP \
475
"st %%o2, %0 \n\t" \
476
"st %%o1, %1 \n\t" \
477
"st %%o0, %2 \n\t" \
478
: "=m" (c), "=m" (d), "=m" (s) \
479
: "m" (s), "m" (d), "m" (c), "m" (b) \
480
: "g1", "o0", "o1", "o2", "o3", "o4", \
481
"o5" \
482
);
483
484
#endif
/* __sparc64__ */
485
#endif
/* __sparc__ */
486
487
#if defined(__microblaze__) || defined(microblaze)
488
489
#define MULADDC_INIT \
490
asm( \
491
"lwi r3, %3 \n\t" \
492
"lwi r4, %4 \n\t" \
493
"lwi r5, %5 \n\t" \
494
"lwi r6, %6 \n\t" \
495
"andi r7, r6, 0xffff \n\t" \
496
"bsrli r6, r6, 16 \n\t"
497
498
#define MULADDC_CORE \
499
"lhui r8, r3, 0 \n\t" \
500
"addi r3, r3, 2 \n\t" \
501
"lhui r9, r3, 0 \n\t" \
502
"addi r3, r3, 2 \n\t" \
503
"mul r10, r9, r6 \n\t" \
504
"mul r11, r8, r7 \n\t" \
505
"mul r12, r9, r7 \n\t" \
506
"mul r13, r8, r6 \n\t" \
507
"bsrli r8, r10, 16 \n\t" \
508
"bsrli r9, r11, 16 \n\t" \
509
"add r13, r13, r8 \n\t" \
510
"add r13, r13, r9 \n\t" \
511
"bslli r10, r10, 16 \n\t" \
512
"bslli r11, r11, 16 \n\t" \
513
"add r12, r12, r10 \n\t" \
514
"addc r13, r13, r0 \n\t" \
515
"add r12, r12, r11 \n\t" \
516
"addc r13, r13, r0 \n\t" \
517
"lwi r10, r4, 0 \n\t" \
518
"add r12, r12, r10 \n\t" \
519
"addc r13, r13, r0 \n\t" \
520
"add r12, r12, r5 \n\t" \
521
"addc r5, r13, r0 \n\t" \
522
"swi r12, r4, 0 \n\t" \
523
"addi r4, r4, 4 \n\t"
524
525
#define MULADDC_STOP \
526
"swi r5, %0 \n\t" \
527
"swi r4, %1 \n\t" \
528
"swi r3, %2 \n\t" \
529
: "=m" (c), "=m" (d), "=m" (s) \
530
: "m" (s), "m" (d), "m" (c), "m" (b) \
531
: "r3", "r4", "r5", "r6", "r7", "r8", \
532
"r9", "r10", "r11", "r12", "r13" \
533
);
534
535
#endif
/* MicroBlaze */
536
537
#if defined(__tricore__)
538
539
#define MULADDC_INIT \
540
asm( \
541
"ld.a %%a2, %3 \n\t" \
542
"ld.a %%a3, %4 \n\t" \
543
"ld.w %%d4, %5 \n\t" \
544
"ld.w %%d1, %6 \n\t" \
545
"xor %%d5, %%d5 \n\t"
546
547
#define MULADDC_CORE \
548
"ld.w %%d0, [%%a2+] \n\t" \
549
"madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \
550
"ld.w %%d0, [%%a3] \n\t" \
551
"addx %%d2, %%d2, %%d0 \n\t" \
552
"addc %%d3, %%d3, 0 \n\t" \
553
"mov %%d4, %%d3 \n\t" \
554
"st.w [%%a3+], %%d2 \n\t"
555
556
#define MULADDC_STOP \
557
"st.w %0, %%d4 \n\t" \
558
"st.a %1, %%a3 \n\t" \
559
"st.a %2, %%a2 \n\t" \
560
: "=m" (c), "=m" (d), "=m" (s) \
561
: "m" (s), "m" (d), "m" (c), "m" (b) \
562
: "d0", "d1", "e2", "d4", "a2", "a3" \
563
);
564
565
#endif
/* TriCore */
566
567
/*
568
* Note, gcc -O0 by default uses r7 for the frame pointer, so it complains about
569
* our use of r7 below, unless -fomit-frame-pointer is passed.
570
*
571
* On the other hand, -fomit-frame-pointer is implied by any -Ox options with
572
* x !=0, which we can detect using __OPTIMIZE__ (which is also defined by
573
* clang and armcc5 under the same conditions).
574
*
575
* So, only use the optimized assembly below for optimized build, which avoids
576
* the build error and is pretty reasonable anyway.
577
*/
578
#if defined(__GNUC__) && !defined(__OPTIMIZE__)
579
#define MULADDC_CANNOT_USE_R7
580
#endif
581
582
#if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7)
583
584
#if defined(__thumb__) && !defined(__thumb2__)
585
586
#define MULADDC_INIT \
587
asm( \
588
"ldr r0, %3 \n\t" \
589
"ldr r1, %4 \n\t" \
590
"ldr r2, %5 \n\t" \
591
"ldr r3, %6 \n\t" \
592
"lsr r7, r3, #16 \n\t" \
593
"mov r9, r7 \n\t" \
594
"lsl r7, r3, #16 \n\t" \
595
"lsr r7, r7, #16 \n\t" \
596
"mov r8, r7 \n\t"
597
598
#define MULADDC_CORE \
599
"ldmia r0!, {r6} \n\t" \
600
"lsr r7, r6, #16 \n\t" \
601
"lsl r6, r6, #16 \n\t" \
602
"lsr r6, r6, #16 \n\t" \
603
"mov r4, r8 \n\t" \
604
"mul r4, r6 \n\t" \
605
"mov r3, r9 \n\t" \
606
"mul r6, r3 \n\t" \
607
"mov r5, r9 \n\t" \
608
"mul r5, r7 \n\t" \
609
"mov r3, r8 \n\t" \
610
"mul r7, r3 \n\t" \
611
"lsr r3, r6, #16 \n\t" \
612
"add r5, r5, r3 \n\t" \
613
"lsr r3, r7, #16 \n\t" \
614
"add r5, r5, r3 \n\t" \
615
"add r4, r4, r2 \n\t" \
616
"mov r2, #0 \n\t" \
617
"adc r5, r2 \n\t" \
618
"lsl r3, r6, #16 \n\t" \
619
"add r4, r4, r3 \n\t" \
620
"adc r5, r2 \n\t" \
621
"lsl r3, r7, #16 \n\t" \
622
"add r4, r4, r3 \n\t" \
623
"adc r5, r2 \n\t" \
624
"ldr r3, [r1] \n\t" \
625
"add r4, r4, r3 \n\t" \
626
"adc r2, r5 \n\t" \
627
"stmia r1!, {r4} \n\t"
628
629
#define MULADDC_STOP \
630
"str r2, %0 \n\t" \
631
"str r1, %1 \n\t" \
632
"str r0, %2 \n\t" \
633
: "=m" (c), "=m" (d), "=m" (s) \
634
: "m" (s), "m" (d), "m" (c), "m" (b) \
635
: "r0", "r1", "r2", "r3", "r4", "r5", \
636
"r6", "r7", "r8", "r9", "cc" \
637
);
638
639
#elif (__ARM_ARCH >= 6) && \
640
defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)
641
642
#define MULADDC_INIT \
643
asm(
644
645
#define MULADDC_CORE \
646
"ldr r0, [%0], #4 \n\t" \
647
"ldr r1, [%1] \n\t" \
648
"umaal r1, %2, %3, r0 \n\t" \
649
"str r1, [%1], #4 \n\t"
650
651
#define MULADDC_STOP \
652
: "=r" (s), "=r" (d), "=r" (c) \
653
: "r" (b), "0" (s), "1" (d), "2" (c) \
654
: "r0", "r1", "memory" \
655
);
656
657
#else
658
659
#define MULADDC_INIT \
660
asm( \
661
"ldr r0, %3 \n\t" \
662
"ldr r1, %4 \n\t" \
663
"ldr r2, %5 \n\t" \
664
"ldr r3, %6 \n\t"
665
666
#define MULADDC_CORE \
667
"ldr r4, [r0], #4 \n\t" \
668
"mov r5, #0 \n\t" \
669
"ldr r6, [r1] \n\t" \
670
"umlal r2, r5, r3, r4 \n\t" \
671
"adds r7, r6, r2 \n\t" \
672
"adc r2, r5, #0 \n\t" \
673
"str r7, [r1], #4 \n\t"
674
675
#define MULADDC_STOP \
676
"str r2, %0 \n\t" \
677
"str r1, %1 \n\t" \
678
"str r0, %2 \n\t" \
679
: "=m" (c), "=m" (d), "=m" (s) \
680
: "m" (s), "m" (d), "m" (c), "m" (b) \
681
: "r0", "r1", "r2", "r3", "r4", "r5", \
682
"r6", "r7", "cc" \
683
);
684
685
#endif
/* Thumb */
686
687
#endif
/* ARMv3 */
688
689
#if defined(__alpha__)
690
691
#define MULADDC_INIT \
692
asm( \
693
"ldq $1, %3 \n\t" \
694
"ldq $2, %4 \n\t" \
695
"ldq $3, %5 \n\t" \
696
"ldq $4, %6 \n\t"
697
698
#define MULADDC_CORE \
699
"ldq $6, 0($1) \n\t" \
700
"addq $1, 8, $1 \n\t" \
701
"mulq $6, $4, $7 \n\t" \
702
"umulh $6, $4, $6 \n\t" \
703
"addq $7, $3, $7 \n\t" \
704
"cmpult $7, $3, $3 \n\t" \
705
"ldq $5, 0($2) \n\t" \
706
"addq $7, $5, $7 \n\t" \
707
"cmpult $7, $5, $5 \n\t" \
708
"stq $7, 0($2) \n\t" \
709
"addq $2, 8, $2 \n\t" \
710
"addq $6, $3, $3 \n\t" \
711
"addq $5, $3, $3 \n\t"
712
713
#define MULADDC_STOP \
714
"stq $3, %0 \n\t" \
715
"stq $2, %1 \n\t" \
716
"stq $1, %2 \n\t" \
717
: "=m" (c), "=m" (d), "=m" (s) \
718
: "m" (s), "m" (d), "m" (c), "m" (b) \
719
: "$1", "$2", "$3", "$4", "$5", "$6", "$7" \
720
);
721
#endif
/* Alpha */
722
723
#if defined(__mips__) && !defined(__mips64)
724
725
#define MULADDC_INIT \
726
asm( \
727
"lw $10, %3 \n\t" \
728
"lw $11, %4 \n\t" \
729
"lw $12, %5 \n\t" \
730
"lw $13, %6 \n\t"
731
732
#define MULADDC_CORE \
733
"lw $14, 0($10) \n\t" \
734
"multu $13, $14 \n\t" \
735
"addi $10, $10, 4 \n\t" \
736
"mflo $14 \n\t" \
737
"mfhi $9 \n\t" \
738
"addu $14, $12, $14 \n\t" \
739
"lw $15, 0($11) \n\t" \
740
"sltu $12, $14, $12 \n\t" \
741
"addu $15, $14, $15 \n\t" \
742
"sltu $14, $15, $14 \n\t" \
743
"addu $12, $12, $9 \n\t" \
744
"sw $15, 0($11) \n\t" \
745
"addu $12, $12, $14 \n\t" \
746
"addi $11, $11, 4 \n\t"
747
748
#define MULADDC_STOP \
749
"sw $12, %0 \n\t" \
750
"sw $11, %1 \n\t" \
751
"sw $10, %2 \n\t" \
752
: "=m" (c), "=m" (d), "=m" (s) \
753
: "m" (s), "m" (d), "m" (c), "m" (b) \
754
: "$9", "$10", "$11", "$12", "$13", "$14", "$15" \
755
);
756
757
#endif
/* MIPS */
758
#endif
/* GNUC */
759
760
#if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__)
761
762
#define MULADDC_INIT \
763
__asm mov esi, s \
764
__asm mov edi, d \
765
__asm mov ecx, c \
766
__asm mov ebx, b
767
768
#define MULADDC_CORE \
769
__asm lodsd \
770
__asm mul ebx \
771
__asm add eax, ecx \
772
__asm adc edx, 0 \
773
__asm add eax, [edi] \
774
__asm adc edx, 0 \
775
__asm mov ecx, edx \
776
__asm stosd
777
778
#if defined(MBEDTLS_HAVE_SSE2)
779
780
#define EMIT __asm _emit
781
782
#define MULADDC_HUIT \
783
EMIT 0x0F EMIT 0x6E EMIT 0xC9 \
784
EMIT 0x0F EMIT 0x6E EMIT 0xC3 \
785
EMIT 0x0F EMIT 0x6E EMIT 0x1F \
786
EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
787
EMIT 0x0F EMIT 0x6E EMIT 0x16 \
788
EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
789
EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \
790
EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
791
EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \
792
EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
793
EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \
794
EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \
795
EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
796
EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \
797
EMIT 0x0F EMIT 0xD4 EMIT 0xDC \
798
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \
799
EMIT 0x0F EMIT 0xD4 EMIT 0xEE \
800
EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \
801
EMIT 0x0F EMIT 0xD4 EMIT 0xFC \
802
EMIT 0x0F EMIT 0x7E EMIT 0x0F \
803
EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \
804
EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
805
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
806
EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \
807
EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
808
EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
809
EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \
810
EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
811
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \
812
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
813
EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \
814
EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \
815
EMIT 0x0F EMIT 0xD4 EMIT 0xCD \
816
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \
817
EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \
818
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \
819
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
820
EMIT 0x0F EMIT 0xD4 EMIT 0xCF \
821
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \
822
EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \
823
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \
824
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
825
EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
826
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \
827
EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \
828
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \
829
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
830
EMIT 0x0F EMIT 0xD4 EMIT 0xCC \
831
EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \
832
EMIT 0x0F EMIT 0xD4 EMIT 0xDD \
833
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \
834
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
835
EMIT 0x0F EMIT 0xD4 EMIT 0xCE \
836
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \
837
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
838
EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
839
EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \
840
EMIT 0x83 EMIT 0xC7 EMIT 0x20 \
841
EMIT 0x83 EMIT 0xC6 EMIT 0x20 \
842
EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
843
EMIT 0x0F EMIT 0x7E EMIT 0xC9
844
845
#define MULADDC_STOP \
846
EMIT 0x0F EMIT 0x77 \
847
__asm mov c, ecx \
848
__asm mov d, edi \
849
__asm mov s, esi \
850
851
#else
852
853
#define MULADDC_STOP \
854
__asm mov c, ecx \
855
__asm mov d, edi \
856
__asm mov s, esi \
857
858
#endif
/* SSE2 */
859
#endif
/* MSVC */
860
861
#endif
/* MBEDTLS_HAVE_ASM */
862
863
#if !defined(MULADDC_CORE)
864
#if defined(MBEDTLS_HAVE_UDBL)
865
866
#define MULADDC_INIT \
867
{ \
868
mbedtls_t_udbl r; \
869
mbedtls_mpi_uint r0, r1;
870
871
#define MULADDC_CORE \
872
r = *(s++) * (mbedtls_t_udbl) b; \
873
r0 = (mbedtls_mpi_uint) r; \
874
r1 = (mbedtls_mpi_uint)( r >> biL ); \
875
r0 += c; r1 += (r0 < c); \
876
r0 += *d; r1 += (r0 < *d); \
877
c = r1; *(d++) = r0;
878
879
#define MULADDC_STOP \
880
}
881
882
#else
883
#define MULADDC_INIT \
884
{ \
885
mbedtls_mpi_uint s0, s1, b0, b1; \
886
mbedtls_mpi_uint r0, r1, rx, ry; \
887
b0 = ( b << biH ) >> biH; \
888
b1 = ( b >> biH );
889
890
#define MULADDC_CORE \
891
s0 = ( *s << biH ) >> biH; \
892
s1 = ( *s >> biH ); s++; \
893
rx = s0 * b1; r0 = s0 * b0; \
894
ry = s1 * b0; r1 = s1 * b1; \
895
r1 += ( rx >> biH ); \
896
r1 += ( ry >> biH ); \
897
rx <<= biH; ry <<= biH; \
898
r0 += rx; r1 += (r0 < rx); \
899
r0 += ry; r1 += (r0 < ry); \
900
r0 += c; r1 += (r0 < c); \
901
r0 += *d; r1 += (r0 < *d); \
902
c = r1; *(d++) = r0;
903
904
#define MULADDC_STOP \
905
}
906
907
#endif
/* C (generic) */
908
#endif
/* C (longlong) */
909
910
#endif
/* bn_mul.h */
bignum.h
Multi-precision integer library.
Generated on Tue Jan 8 2019 09:25:34 for mbed TLS v2.16.0 by
1.8.20