674 lines
17 KiB
C
674 lines
17 KiB
C
/* ctc_tfm.h
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*
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* Copyright (C) 2006-2011 Sawtooth Consulting Ltd.
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*
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* This file is part of CyaSSL.
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*
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* CyaSSL is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* CyaSSL is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
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*/
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/*
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* Based on public domain TomsFastMath 0.10 by Tom St Denis, tomstdenis@iahu.ca,
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* http://math.libtomcrypt.com
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*/
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/**
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* Edited by Moisés Guimarães (moises.guimaraes@phoebus.com.br)
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* to fit CyaSSL's needs.
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*/
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#ifndef CTAO_CRYPT_TFM_H
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#define CTAO_CRYPT_TFM_H
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#include "ctc_types.h"
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#ifndef CHAR_BIT
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#include <limits.h>
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#endif
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#ifdef __cplusplus
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extern "C" {
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#endif
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#ifndef MIN
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#define MIN(x,y) ((x)<(y)?(x):(y))
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#endif
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#ifndef MAX
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#define MAX(x,y) ((x)>(y)?(x):(y))
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#endif
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/* autodetect x86-64 and make sure we are using 64-bit digits with x86-64 asm */
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#if defined(__x86_64__)
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#if defined(TFM_X86) || defined(TFM_SSE2) || defined(TFM_ARM)
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#error x86-64 detected, x86-32/SSE2/ARM optimizations are not valid!
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#endif
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#if !defined(TFM_X86_64) && !defined(TFM_NO_ASM)
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#define TFM_X86_64
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#endif
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#endif
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#if defined(TFM_X86_64)
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#if !defined(FP_64BIT)
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#define FP_64BIT
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#endif
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#endif
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/* try to detect x86-32 */
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#if defined(__i386__) && !defined(TFM_SSE2)
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#if defined(TFM_X86_64) || defined(TFM_ARM)
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#error x86-32 detected, x86-64/ARM optimizations are not valid!
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#endif
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#if !defined(TFM_X86) && !defined(TFM_NO_ASM)
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#define TFM_X86
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#endif
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#endif
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/* make sure we're 32-bit for x86-32/sse/arm/ppc32 */
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#if (defined(TFM_X86) || defined(TFM_SSE2) || defined(TFM_ARM) || defined(TFM_PPC32)) && defined(FP_64BIT)
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#warning x86-32, SSE2 and ARM, PPC32 optimizations require 32-bit digits (undefining)
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#undef FP_64BIT
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#endif
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/* multi asms? */
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#ifdef TFM_X86
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#define TFM_ASM
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#endif
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#ifdef TFM_X86_64
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#ifdef TFM_ASM
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#error TFM_ASM already defined!
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#endif
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#define TFM_ASM
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#endif
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#ifdef TFM_SSE2
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#ifdef TFM_ASM
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#error TFM_ASM already defined!
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#endif
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#define TFM_ASM
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#endif
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#ifdef TFM_ARM
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#ifdef TFM_ASM
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#error TFM_ASM already defined!
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#endif
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#define TFM_ASM
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#endif
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#ifdef TFM_PPC32
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#ifdef TFM_ASM
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#error TFM_ASM already defined!
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#endif
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#define TFM_ASM
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#endif
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#ifdef TFM_PPC64
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#ifdef TFM_ASM
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#error TFM_ASM already defined!
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#endif
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#define TFM_ASM
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#endif
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#ifdef TFM_AVR32
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#ifdef TFM_ASM
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#error TFM_ASM already defined!
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#endif
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#define TFM_ASM
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#endif
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/* we want no asm? */
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#ifdef TFM_NO_ASM
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#undef TFM_X86
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#undef TFM_X86_64
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#undef TFM_SSE2
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#undef TFM_ARM
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#undef TFM_PPC32
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#undef TFM_PPC64
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#undef TFM_AVR32
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#undef TFM_ASM
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#endif
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/* ECC helpers */
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#ifdef TFM_ECC192
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#ifdef FP_64BIT
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#define TFM_MUL3
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#define TFM_SQR3
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#else
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#define TFM_MUL6
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#define TFM_SQR6
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#endif
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#endif
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#ifdef TFM_ECC224
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#ifdef FP_64BIT
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#define TFM_MUL4
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#define TFM_SQR4
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#else
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#define TFM_MUL7
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#define TFM_SQR7
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#endif
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#endif
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#ifdef TFM_ECC256
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#ifdef FP_64BIT
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#define TFM_MUL4
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#define TFM_SQR4
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#else
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#define TFM_MUL8
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#define TFM_SQR8
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#endif
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#endif
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#ifdef TFM_ECC384
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#ifdef FP_64BIT
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#define TFM_MUL6
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#define TFM_SQR6
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#else
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#define TFM_MUL12
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#define TFM_SQR12
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#endif
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#endif
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#ifdef TFM_ECC521
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#ifdef FP_64BIT
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#define TFM_MUL9
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#define TFM_SQR9
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#else
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#define TFM_MUL17
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#define TFM_SQR17
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#endif
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#endif
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/* some default configurations.
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*/
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#if defined(FP_64BIT)
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/* for GCC only on supported platforms */
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#ifndef CRYPT
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typedef unsigned long ulong64;
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#endif
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typedef ulong64 fp_digit;
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typedef unsigned long fp_word __attribute__ ((mode(TI)));
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#else
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/* this is to make porting into LibTomCrypt easier :-) */
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#ifndef CRYPT
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#if defined(_MSC_VER) || defined(__BORLANDC__)
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typedef unsigned __int64 ulong64;
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typedef signed __int64 long64;
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#else
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typedef unsigned long long ulong64;
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typedef signed long long long64;
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#endif
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#endif
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typedef unsigned long fp_digit;
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typedef ulong64 fp_word;
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#endif
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/* # of digits this is */
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#define DIGIT_BIT (int)((CHAR_BIT) * sizeof(fp_digit))
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/* Max size of any number in bits. Basically the largest size you will be
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* multiplying should be half [or smaller] of FP_MAX_SIZE-four_digit
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*
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* It defaults to 4096-bits [allowing multiplications upto 2048x2048 bits ]
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*/
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#define FP_MAX_BITS 4096
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#define FP_MAX_SIZE (FP_MAX_BITS+(8*DIGIT_BIT))
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/* will this lib work? */
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#if (CHAR_BIT & 7)
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#error CHAR_BIT must be a multiple of eight.
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#endif
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#if FP_MAX_BITS % CHAR_BIT
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#error FP_MAX_BITS must be a multiple of CHAR_BIT
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#endif
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#define FP_MASK (fp_digit)(-1)
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#define FP_SIZE (FP_MAX_SIZE/DIGIT_BIT)
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/* signs */
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#define FP_ZPOS 0
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#define FP_NEG 1
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/* return codes */
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#define FP_OKAY 0
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#define FP_VAL 1
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#define FP_MEM 2
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/* equalities */
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#define FP_LT -1 /* less than */
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#define FP_EQ 0 /* equal to */
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#define FP_GT 1 /* greater than */
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/* replies */
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#define FP_YES 1 /* yes response */
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#define FP_NO 0 /* no response */
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/* a FP type */
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typedef struct {
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fp_digit dp[FP_SIZE];
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int used,
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sign;
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} fp_int;
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/* externally define this symbol to ignore the default settings, useful for changing the build from the make process */
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#ifndef TFM_ALREADY_SET
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/* do we want the large set of small multiplications ?
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Enable these if you are going to be doing a lot of small (<= 16 digit) multiplications say in ECC
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Or if you're on a 64-bit machine doing RSA as a 1024-bit integer == 16 digits ;-)
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*/
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/* need to refactor the function */
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/*#define TFM_SMALL_SET */
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/* do we want huge code
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Enable these if you are doing 20, 24, 28, 32, 48, 64 digit multiplications (useful for RSA)
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Less important on 64-bit machines as 32 digits == 2048 bits
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*/
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#if 0
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#define TFM_MUL3
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#define TFM_MUL4
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#define TFM_MUL6
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#define TFM_MUL7
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#define TFM_MUL8
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#define TFM_MUL9
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#define TFM_MUL12
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#define TFM_MUL17
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#endif
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#ifdef TFM_SMALL_SET
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#define TFM_MUL20
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#define TFM_MUL24
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#define TFM_MUL28
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#define TFM_MUL32
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#if (FP_MAX_BITS >= 6144) && defined(FP_64BIT)
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#define TFM_MUL48
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#endif
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#if (FP_MAX_BITS >= 8192) && defined(FP_64BIT)
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#define TFM_MUL64
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#endif
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#endif
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#if 0
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#define TFM_SQR3
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#define TFM_SQR4
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#define TFM_SQR6
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#define TFM_SQR7
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#define TFM_SQR8
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#define TFM_SQR9
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#define TFM_SQR12
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#define TFM_SQR17
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#endif
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#ifdef TFM_SMALL_SET
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#define TFM_SQR20
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#define TFM_SQR24
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#define TFM_SQR28
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#define TFM_SQR32
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#define TFM_SQR48
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#define TFM_SQR64
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#endif
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/* do we want some overflow checks
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Not required if you make sure your numbers are within range (e.g. by default a modulus for fp_exptmod() can only be upto 2048 bits long)
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*/
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/* #define TFM_CHECK */
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/* Is the target a P4 Prescott
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*/
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/* #define TFM_PRESCOTT */
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/* Do we want timing resistant fp_exptmod() ?
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* This makes it slower but also timing invariant with respect to the exponent
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*/
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/* #define TFM_TIMING_RESISTANT */
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#endif /* TFM_ALREADY_SET */
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/* functions */
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/* returns a TFM ident string useful for debugging... */
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/*const char *fp_ident(void);*/
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/* initialize [or zero] an fp int */
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#define fp_init(a) (void)XMEMSET((a), 0, sizeof(fp_int))
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#define fp_zero(a) fp_init(a)
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/* zero/even/odd ? */
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#define fp_iszero(a) (((a)->used == 0) ? FP_YES : FP_NO)
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#define fp_iseven(a) (((a)->used >= 0 && (((a)->dp[0] & 1) == 0)) ? FP_YES : FP_NO)
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#define fp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? FP_YES : FP_NO)
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/* set to a small digit */
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void fp_set(fp_int *a, fp_digit b);
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/* copy from a to b */
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#define fp_copy(a, b) (void)(((a) != (b)) ? (XMEMCPY((b), (a), sizeof(fp_int))) : (void)0)
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#define fp_init_copy(a, b) fp_copy(b, a)
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/* clamp digits */
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#define fp_clamp(a) { while ((a)->used && (a)->dp[(a)->used-1] == 0) --((a)->used); (a)->sign = (a)->used ? (a)->sign : FP_ZPOS; }
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/* negate and absolute */
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#define fp_neg(a, b) { fp_copy(a, b); (b)->sign ^= 1; fp_clamp(b); }
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#define fp_abs(a, b) { fp_copy(a, b); (b)->sign = 0; }
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/* right shift x digits */
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void fp_rshd(fp_int *a, int x);
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/* left shift x digits */
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void fp_lshd(fp_int *a, int x);
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/* signed comparison */
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int fp_cmp(fp_int *a, fp_int *b);
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/* unsigned comparison */
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int fp_cmp_mag(fp_int *a, fp_int *b);
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/* power of 2 operations */
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void fp_div_2d(fp_int *a, int b, fp_int *c, fp_int *d);
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void fp_mod_2d(fp_int *a, int b, fp_int *c);
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void fp_mul_2d(fp_int *a, int b, fp_int *c);
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void fp_2expt (fp_int *a, int b);
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void fp_mul_2(fp_int *a, fp_int *c);
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void fp_div_2(fp_int *a, fp_int *c);
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/* Counts the number of lsbs which are zero before the first zero bit */
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/*int fp_cnt_lsb(fp_int *a);*/
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/* c = a + b */
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void fp_add(fp_int *a, fp_int *b, fp_int *c);
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/* c = a - b */
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void fp_sub(fp_int *a, fp_int *b, fp_int *c);
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/* c = a * b */
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void fp_mul(fp_int *a, fp_int *b, fp_int *c);
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/* b = a*a */
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void fp_sqr(fp_int *a, fp_int *b);
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/* a/b => cb + d == a */
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int fp_div(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
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/* c = a mod b, 0 <= c < b */
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int fp_mod(fp_int *a, fp_int *b, fp_int *c);
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/* compare against a single digit */
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int fp_cmp_d(fp_int *a, fp_digit b);
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/* c = a + b */
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void fp_add_d(fp_int *a, fp_digit b, fp_int *c);
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/* c = a - b */
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/*void fp_sub_d(fp_int *a, fp_digit b, fp_int *c);*/
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/* c = a * b */
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void fp_mul_d(fp_int *a, fp_digit b, fp_int *c);
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/* a/b => cb + d == a */
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/*int fp_div_d(fp_int *a, fp_digit b, fp_int *c, fp_digit *d);*/
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/* c = a mod b, 0 <= c < b */
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/*int fp_mod_d(fp_int *a, fp_digit b, fp_digit *c);*/
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/* ---> number theory <--- */
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/* d = a + b (mod c) */
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/*int fp_addmod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);*/
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/* d = a - b (mod c) */
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/*int fp_submod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);*/
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/* d = a * b (mod c) */
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int fp_mulmod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
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/* c = a * a (mod b) */
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int fp_sqrmod(fp_int *a, fp_int *b, fp_int *c);
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/* c = 1/a (mod b) */
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int fp_invmod(fp_int *a, fp_int *b, fp_int *c);
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/* c = (a, b) */
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/*void fp_gcd(fp_int *a, fp_int *b, fp_int *c);*/
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/* c = [a, b] */
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/*void fp_lcm(fp_int *a, fp_int *b, fp_int *c);*/
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/* setups the montgomery reduction */
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int fp_montgomery_setup(fp_int *a, fp_digit *mp);
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/* computes a = B**n mod b without division or multiplication useful for
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* normalizing numbers in a Montgomery system.
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*/
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void fp_montgomery_calc_normalization(fp_int *a, fp_int *b);
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/* computes x/R == x (mod N) via Montgomery Reduction */
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void fp_montgomery_reduce(fp_int *a, fp_int *m, fp_digit mp);
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/* d = a**b (mod c) */
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int fp_exptmod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
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/* primality stuff */
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/* perform a Miller-Rabin test of a to the base b and store result in "result" */
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/*void fp_prime_miller_rabin (fp_int * a, fp_int * b, int *result);*/
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/* 256 trial divisions + 8 Miller-Rabins, returns FP_YES if probable prime */
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/*int fp_isprime(fp_int *a);*/
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/* Primality generation flags */
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/*#define TFM_PRIME_BBS 0x0001 */ /* BBS style prime */
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/*#define TFM_PRIME_SAFE 0x0002 */ /* Safe prime (p-1)/2 == prime */
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/*#define TFM_PRIME_2MSB_OFF 0x0004 */ /* force 2nd MSB to 0 */
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/*#define TFM_PRIME_2MSB_ON 0x0008 */ /* force 2nd MSB to 1 */
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/* callback for fp_prime_random, should fill dst with random bytes and return how many read [upto len] */
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/*typedef int tfm_prime_callback(unsigned char *dst, int len, void *dat);*/
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/*#define fp_prime_random(a, t, size, bbs, cb, dat) fp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?TFM_PRIME_BBS:0, cb, dat)*/
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/*int fp_prime_random_ex(fp_int *a, int t, int size, int flags, tfm_prime_callback cb, void *dat);*/
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/* radix conersions */
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int fp_count_bits(fp_int *a);
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int fp_unsigned_bin_size(fp_int *a);
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void fp_read_unsigned_bin(fp_int *a, unsigned char *b, int c);
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void fp_to_unsigned_bin(fp_int *a, unsigned char *b);
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/*int fp_signed_bin_size(fp_int *a);*/
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/*void fp_read_signed_bin(fp_int *a, unsigned char *b, int c);*/
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/*void fp_to_signed_bin(fp_int *a, unsigned char *b);*/
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/*int fp_read_radix(fp_int *a, char *str, int radix);*/
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/*int fp_toradix(fp_int *a, char *str, int radix);*/
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/*int fp_toradix_n(fp_int * a, char *str, int radix, int maxlen);*/
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/* VARIOUS LOW LEVEL STUFFS */
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void s_fp_add(fp_int *a, fp_int *b, fp_int *c);
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void s_fp_sub(fp_int *a, fp_int *b, fp_int *c);
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void fp_reverse(unsigned char *s, int len);
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void fp_mul_comba(fp_int *A, fp_int *B, fp_int *C);
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#ifdef TFM_SMALL_SET
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void fp_mul_comba_small(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL3
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void fp_mul_comba3(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL4
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void fp_mul_comba4(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL6
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void fp_mul_comba6(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL7
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void fp_mul_comba7(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL8
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void fp_mul_comba8(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL9
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void fp_mul_comba9(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL12
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void fp_mul_comba12(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL17
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void fp_mul_comba17(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL20
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void fp_mul_comba20(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL24
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void fp_mul_comba24(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL28
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void fp_mul_comba28(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL32
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void fp_mul_comba32(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL48
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void fp_mul_comba48(fp_int *A, fp_int *B, fp_int *C);
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#endif
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#ifdef TFM_MUL64
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void fp_mul_comba64(fp_int *A, fp_int *B, fp_int *C);
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#endif
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void fp_sqr_comba(fp_int *A, fp_int *B);
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#ifdef TFM_SMALL_SET
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void fp_sqr_comba_small(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR3
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void fp_sqr_comba3(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR4
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void fp_sqr_comba4(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR6
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void fp_sqr_comba6(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR7
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void fp_sqr_comba7(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR8
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void fp_sqr_comba8(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR9
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void fp_sqr_comba9(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR12
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void fp_sqr_comba12(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR17
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void fp_sqr_comba17(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR20
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void fp_sqr_comba20(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR24
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void fp_sqr_comba24(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR28
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void fp_sqr_comba28(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR32
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void fp_sqr_comba32(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR48
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void fp_sqr_comba48(fp_int *A, fp_int *B);
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#endif
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#ifdef TFM_SQR64
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void fp_sqr_comba64(fp_int *A, fp_int *B);
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#endif
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/*extern const char *fp_s_rmap;*/
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/**
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* Used by CyaSSL
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*/
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/* Types */
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typedef fp_digit mp_digit;
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typedef fp_word mp_word;
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typedef fp_int mp_int;
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/* Constants */
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#define MP_LT FP_LT /* less than */
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#define MP_EQ FP_EQ /* equal to */
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#define MP_GT FP_GT /* greater than */
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#define MP_OKAY FP_OKAY /* ok result */
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#define MP_NO FP_NO /* yes/no result */
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#define MP_YES FP_YES /* yes/no result */
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/* Prototypes */
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int mp_init (mp_int * a);
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void mp_clear (mp_int * a);
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int mp_init_multi(mp_int* a, mp_int* b, mp_int* c, mp_int* d, mp_int* e, mp_int* f);
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int mp_add (mp_int * a, mp_int * b, mp_int * c);
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int mp_sub (mp_int * a, mp_int * b, mp_int * c);
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int mp_add_d (mp_int * a, mp_digit b, mp_int * c);
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int mp_mul (mp_int * a, mp_int * b, mp_int * c);
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int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d);
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int mp_mod(mp_int *a, mp_int *b, mp_int *c);
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int mp_invmod(mp_int *a, mp_int *b, mp_int *c);
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int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y);
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int mp_cmp(mp_int *a, mp_int *b);
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int mp_cmp_d(mp_int *a, mp_digit b);
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int mp_unsigned_bin_size(mp_int * a);
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int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c);
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int mp_to_unsigned_bin (mp_int * a, unsigned char *b);
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#ifdef HAVE_ECC
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int mp_sqrmod(mp_int* a, mp_int* b, mp_int* c);
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int mp_montgomery_calc_normalization(mp_int *a, mp_int *b);
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int mp_read_radix(mp_int* a, const char* str, int radix);
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int mp_iszero(mp_int* a);
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int mp_set(fp_int *a, fp_digit b);
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int mp_sqr(fp_int *A, fp_int *B);
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int mp_montgomery_reduce(fp_int *a, fp_int *m, fp_digit mp);
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int mp_montgomery_setup(fp_int *a, fp_digit *rho);
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int mp_isodd(mp_int* a);
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int mp_div_2(fp_int * a, fp_int * b);
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#endif
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#if defined(HAVE_ECC) || defined(CYASSL_KEY_GEN)
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int mp_copy(fp_int* a, fp_int* b);
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#endif
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#ifdef CYASSL_KEY_GEN
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int mp_set_int(fp_int *a, fp_digit b);
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int mp_gcd(fp_int *a, fp_int *b, fp_int *c);
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int mp_lcm(fp_int *a, fp_int *b, fp_int *c);
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int mp_sub_d(fp_int *a, fp_digit b, fp_int *c);
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int mp_prime_is_prime(mp_int* a, int t, int* result);
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#endif /* CYASSL_KEY_GEN */
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#ifdef __cplusplus
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}
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#endif
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#endif /* CTAO_CRYPT_TFM_H */
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