mpi.h

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/**
 * @file mpi.h
 * @brief MPI (Multiple Precision Integer Arithmetic)
 *
 * @section License
 *
 * SPDX-License-Identifier: GPL-2.0-or-later
 *
 * Copyright (C) 2010-2023 Oryx Embedded SARL. All rights reserved.
 *
 * This file is part of CycloneCRYPTO Open.
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 *
 * @author Oryx Embedded SARL (www.oryx-embedded.com)
 * @version 2.2.4
 **/
 
#ifndef _MPI_H
#define _MPI_H
 
//Dependencies
#include <stdio.h>
#include "core/crypto.h"
 
//Size of the sub data type
#define MPI_INT_SIZE sizeof(uint_t)
 
//Error code checking
#define MPI_CHECK(f) if((error = f) != NO_ERROR) goto end
 
//Miscellaneous macros
#define mpiIsEven(a) !mpiGetBitValue(a, 0)
#define mpiIsOdd(a) mpiGetBitValue(a, 0)
 
//C++ guard
#ifdef __cplusplus
extern "C" {
#endif
 
 
/**
 * @brief MPI import/export format
 **/
 
typedef enum
{
   MPI_FORMAT_LITTLE_ENDIAN = 0,
   MPI_FORMAT_BIG_ENDIAN    = 1
} MpiFormat;
 
 
/**
 * @brief Arbitrary precision integer
 **/
 
typedef struct
{
   int_t sign;
   uint_t size;
   uint_t *data;
} Mpi;
 
 
//MPI related functions
void mpiInit(Mpi *r);
void mpiFree(Mpi *r);
 
error_t mpiGrow(Mpi *r, uint_t size);
 
uint_t mpiGetLength(const Mpi *a);
uint_t mpiGetByteLength(const Mpi *a);
uint_t mpiGetBitLength(const Mpi *a);
 
error_t mpiSetBitValue(Mpi *r, uint_t index, uint_t value);
uint_t mpiGetBitValue(const Mpi *a, uint_t index);
 
int_t mpiComp(const Mpi *a, const Mpi *b);
int_t mpiCompInt(const Mpi *a, int_t b);
int_t mpiCompAbs(const Mpi *a, const Mpi *b);
 
error_t mpiCopy(Mpi *r, const Mpi *a);
error_t mpiSetValue(Mpi *a, int_t b);
 
error_t mpiRand(Mpi *r, uint_t length, const PrngAlgo *prngAlgo,
   void *prngContext);
 
error_t mpiRandRange(Mpi *r, const Mpi *p, const PrngAlgo *prngAlgo,
   void *prngContext);
 
error_t mpiCheckProbablePrime(const Mpi *a);
 
error_t mpiImport(Mpi *r, const uint8_t *data, uint_t length, MpiFormat format);
error_t mpiExport(const Mpi *a, uint8_t *data, uint_t length, MpiFormat format);
 
error_t mpiAdd(Mpi *r, const Mpi *a, const Mpi *b);
error_t mpiAddInt(Mpi *r, const Mpi *a, int_t b);
 
error_t mpiSub(Mpi *r, const Mpi *a, const Mpi *b);
error_t mpiSubInt(Mpi *r, const Mpi *a, int_t b);
 
error_t mpiAddAbs(Mpi *r, const Mpi *a, const Mpi *b);
error_t mpiSubAbs(Mpi *r, const Mpi *a, const Mpi *b);
 
error_t mpiShiftLeft(Mpi *r, uint_t n);
error_t mpiShiftRight(Mpi *r, uint_t n);
 
error_t mpiMul(Mpi *r, const Mpi *a, const Mpi *b);
error_t mpiMulInt(Mpi *r, const Mpi *a, int_t b);
 
error_t mpiDiv(Mpi *q, Mpi *r, const Mpi *a, const Mpi *b);
error_t mpiDivInt(Mpi *q, Mpi *r, const Mpi *a, int_t b);
 
error_t mpiMod(Mpi *r, const Mpi *a, const Mpi *p);
error_t mpiAddMod(Mpi *r, const Mpi *a, const Mpi *b, const Mpi *p);
error_t mpiSubMod(Mpi *r, const Mpi *a, const Mpi *b, const Mpi *p);
error_t mpiMulMod(Mpi *r, const Mpi *a, const Mpi *b, const Mpi *p);
error_t mpiInvMod(Mpi *r, const Mpi *a, const Mpi *p);
 
error_t mpiExpMod(Mpi *r, const Mpi *a, const Mpi *e, const Mpi *p);
error_t mpiExpModFast(Mpi *r, const Mpi *a, const Mpi *e, const Mpi *p);
error_t mpiExpModRegular(Mpi *r, const Mpi *a, const Mpi *e, const Mpi *p);
 
error_t mpiMontgomeryMul(Mpi *r, const Mpi *a, const Mpi *b, uint_t k,
   const Mpi *p, Mpi *t);
 
error_t mpiMontgomeryRed(Mpi *r, const Mpi *a, uint_t k, const Mpi *p, Mpi *t);
 
void mpiMulAccCore(uint_t *r, const uint_t *a, int_t m, const uint_t b);
 
void mpiDump(FILE *stream, const char_t *prepend, const Mpi *a);
 
//C++ guard
#ifdef __cplusplus
}
#endif
 
#endif