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-/**
- * \file bignum.h
- *
- * Based on XySSL: Copyright (C) 2006-2008 Christophe Devine
- *
- * Copyright (C) 2009 Paul Bakker <polarssl_maintainer at polarssl dot org>
- *
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * * Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- * * Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- * * Neither the names of PolarSSL or XySSL nor the names of its contributors
- * may be used to endorse or promote products derived from this software
- * without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
- * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
- * TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
- * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
- * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
- * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
- * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-#ifndef POLARSSL_BIGNUM_H
-#define POLARSSL_BIGNUM_H
-
-#include <stdio.h>
-
-#define POLARSSL_ERR_MPI_FILE_IO_ERROR -0x0002
-#define POLARSSL_ERR_MPI_BAD_INPUT_DATA -0x0004
-#define POLARSSL_ERR_MPI_INVALID_CHARACTER -0x0006
-#define POLARSSL_ERR_MPI_BUFFER_TOO_SMALL -0x0008
-#define POLARSSL_ERR_MPI_NEGATIVE_VALUE -0x000A
-#define POLARSSL_ERR_MPI_DIVISION_BY_ZERO -0x000C
-#define POLARSSL_ERR_MPI_NOT_ACCEPTABLE -0x000E
-
-#define MPI_CHK(f) if( ( ret = f ) != 0 ) goto cleanup
-
-/*
- * Define the base integer type, architecture-wise
- */
-#if defined(POLARSSL_HAVE_INT8)
-typedef unsigned char t_int;
-typedef unsigned short t_dbl;
-#else
-#if defined(POLARSSL_HAVE_INT16)
-typedef unsigned short t_int;
-typedef unsigned long t_dbl;
-#else
- typedef unsigned long t_int;
- #if defined(_MSC_VER) && defined(_M_IX86)
- typedef unsigned __int64 t_dbl;
- #else
- #if defined(__amd64__) || defined(__x86_64__) || \
- defined(__ppc64__) || defined(__powerpc64__) || \
- defined(__ia64__) || defined(__alpha__)
- typedef unsigned int t_dbl __attribute__((mode(TI)));
- #else
- typedef unsigned long long t_dbl;
- #endif
- #endif
-#endif
-#endif
-
-/**
- * \brief MPI structure
- */
-typedef struct
-{
- int s; /*!< integer sign */
- int n; /*!< total # of limbs */
- t_int *p; /*!< pointer to limbs */
-}
-mpi;
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-/**
- * \brief Initialize one or more mpi
- */
-void mpi_init( mpi *X, ... );
-
-/**
- * \brief Unallocate one or more mpi
- */
-void mpi_free( mpi *X, ... );
-
-/**
- * \brief Enlarge to the specified number of limbs
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_grow( mpi *X, int nblimbs );
-
-/**
- * \brief Copy the contents of Y into X
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_copy( mpi *X, mpi *Y );
-
-/**
- * \brief Swap the contents of X and Y
- */
-void mpi_swap( mpi *X, mpi *Y );
-
-/**
- * \brief Set value from integer
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_lset( mpi *X, int z );
-
-/**
- * \brief Return the number of least significant bits
- */
-int mpi_lsb( mpi *X );
-
-/**
- * \brief Return the number of most significant bits
- */
-int mpi_msb( mpi *X );
-
-/**
- * \brief Return the total size in bytes
- */
-int mpi_size( mpi *X );
-
-/**
- * \brief Import from an ASCII string
- *
- * \param X destination mpi
- * \param radix input numeric base
- * \param s null-terminated string buffer
- *
- * \return 0 if successful, or an POLARSSL_ERR_MPI_XXX error code
- */
-int mpi_read_string( mpi *X, int radix, char *s );
-
-/**
- * \brief Export into an ASCII string
- *
- * \param X source mpi
- * \param radix output numeric base
- * \param s string buffer
- * \param slen string buffer size
- *
- * \return 0 if successful, or an POLARSSL_ERR_MPI_XXX error code
- *
- * \note Call this function with *slen = 0 to obtain the
- * minimum required buffer size in *slen.
- */
-int mpi_write_string( mpi *X, int radix, char *s, int *slen );
-
-/**
- * \brief Read X from an opened file
- *
- * \param X destination mpi
- * \param radix input numeric base
- * \param fin input file handle
- *
- * \return 0 if successful, or an POLARSSL_ERR_MPI_XXX error code
- */
-int mpi_read_file( mpi *X, int radix, FILE *fin );
-
-/**
- * \brief Write X into an opened file, or stdout
- *
- * \param p prefix, can be NULL
- * \param X source mpi
- * \param radix output numeric base
- * \param fout output file handle
- *
- * \return 0 if successful, or an POLARSSL_ERR_MPI_XXX error code
- *
- * \note Set fout == NULL to print X on the console.
- */
-int mpi_write_file( char *p, mpi *X, int radix, FILE *fout );
-
-/**
- * \brief Import X from unsigned binary data, big endian
- *
- * \param X destination mpi
- * \param buf input buffer
- * \param buflen input buffer size
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_read_binary( mpi *X, unsigned char *buf, int buflen );
-
-/**
- * \brief Export X into unsigned binary data, big endian
- *
- * \param X source mpi
- * \param buf output buffer
- * \param buflen output buffer size
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_BUFFER_TOO_SMALL if buf isn't large enough
- *
- * \note Call this function with *buflen = 0 to obtain the
- * minimum required buffer size in *buflen.
- */
-int mpi_write_binary( mpi *X, unsigned char *buf, int buflen );
-
-/**
- * \brief Left-shift: X <<= count
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_shift_l( mpi *X, int count );
-
-/**
- * \brief Right-shift: X >>= count
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_shift_r( mpi *X, int count );
-
-/**
- * \brief Compare unsigned values
- *
- * \return 1 if |X| is greater than |Y|,
- * -1 if |X| is lesser than |Y| or
- * 0 if |X| is equal to |Y|
- */
-int mpi_cmp_abs( mpi *X, mpi *Y );
-
-/**
- * \brief Compare signed values
- *
- * \return 1 if X is greater than Y,
- * -1 if X is lesser than Y or
- * 0 if X is equal to Y
- */
-int mpi_cmp_mpi( mpi *X, mpi *Y );
-
-/**
- * \brief Compare signed values
- *
- * \return 1 if X is greater than z,
- * -1 if X is lesser than z or
- * 0 if X is equal to z
- */
-int mpi_cmp_int( mpi *X, int z );
-
-/**
- * \brief Unsigned addition: X = |A| + |B|
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_add_abs( mpi *X, mpi *A, mpi *B );
-
-/**
- * \brief Unsigned substraction: X = |A| - |B|
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_NEGATIVE_VALUE if B is greater than A
- */
-int mpi_sub_abs( mpi *X, mpi *A, mpi *B );
-
-/**
- * \brief Signed addition: X = A + B
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_add_mpi( mpi *X, mpi *A, mpi *B );
-
-/**
- * \brief Signed substraction: X = A - B
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_sub_mpi( mpi *X, mpi *A, mpi *B );
-
-/**
- * \brief Signed addition: X = A + b
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_add_int( mpi *X, mpi *A, int b );
-
-/**
- * \brief Signed substraction: X = A - b
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_sub_int( mpi *X, mpi *A, int b );
-
-/**
- * \brief Baseline multiplication: X = A * B
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_mul_mpi( mpi *X, mpi *A, mpi *B );
-
-/**
- * \brief Baseline multiplication: X = A * b
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_mul_int( mpi *X, mpi *A, t_int b );
-
-/**
- * \brief Division by mpi: A = Q * B + R
- *
- * \return 0 if successful,
- * 1 if memory allocation failed,
- * POLARSSL_ERR_MPI_DIVISION_BY_ZERO if B == 0
- *
- * \note Either Q or R can be NULL.
- */
-int mpi_div_mpi( mpi *Q, mpi *R, mpi *A, mpi *B );
-
-/**
- * \brief Division by int: A = Q * b + R
- *
- * \return 0 if successful,
- * 1 if memory allocation failed,
- * POLARSSL_ERR_MPI_DIVISION_BY_ZERO if b == 0
- *
- * \note Either Q or R can be NULL.
- */
-int mpi_div_int( mpi *Q, mpi *R, mpi *A, int b );
-
-/**
- * \brief Modulo: R = A mod B
- *
- * \return 0 if successful,
- * 1 if memory allocation failed,
- * POLARSSL_ERR_MPI_DIVISION_BY_ZERO if B == 0
- */
-int mpi_mod_mpi( mpi *R, mpi *A, mpi *B );
-
-/**
- * \brief Modulo: r = A mod b
- *
- * \return 0 if successful,
- * 1 if memory allocation failed,
- * POLARSSL_ERR_MPI_DIVISION_BY_ZERO if b == 0
- */
-int mpi_mod_int( t_int *r, mpi *A, int b );
-
-/**
- * \brief Sliding-window exponentiation: X = A^E mod N
- *
- * \return 0 if successful,
- * 1 if memory allocation failed,
- * POLARSSL_ERR_MPI_BAD_INPUT_DATA if N is negative or even
- *
- * \note _RR is used to avoid re-computing R*R mod N across
- * multiple calls, which speeds up things a bit. It can
- * be set to NULL if the extra performance is unneeded.
- */
-int mpi_exp_mod( mpi *X, mpi *A, mpi *E, mpi *N, mpi *_RR );
-
-/**
- * \brief Greatest common divisor: G = gcd(A, B)
- *
- * \return 0 if successful,
- * 1 if memory allocation failed
- */
-int mpi_gcd( mpi *G, mpi *A, mpi *B );
-
-/**
- * \brief Modular inverse: X = A^-1 mod N
- *
- * \return 0 if successful,
- * 1 if memory allocation failed,
- * POLARSSL_ERR_MPI_BAD_INPUT_DATA if N is negative or nil
- * POLARSSL_ERR_MPI_NOT_ACCEPTABLE if A has no inverse mod N
- */
-int mpi_inv_mod( mpi *X, mpi *A, mpi *N );
-
-/**
- * \brief Miller-Rabin primality test
- *
- * \return 0 if successful (probably prime),
- * 1 if memory allocation failed,
- * POLARSSL_ERR_MPI_NOT_ACCEPTABLE if X is not prime
- */
-int mpi_is_prime( mpi *X, int (*f_rng)(void *), void *p_rng );
-
-/**
- * \brief Prime number generation
- *
- * \param X destination mpi
- * \param nbits required size of X in bits
- * \param dh_flag if 1, then (X-1)/2 will be prime too
- * \param f_rng RNG function
- * \param p_rng RNG parameter
- *
- * \return 0 if successful (probably prime),
- * 1 if memory allocation failed,
- * POLARSSL_ERR_MPI_BAD_INPUT_DATA if nbits is < 3
- */
-int mpi_gen_prime( mpi *X, int nbits, int dh_flag,
- int (*f_rng)(void *), void *p_rng );
-
-/**
- * \brief Checkup routine
- *
- * \return 0 if successful, or 1 if the test failed
- */
-int mpi_self_test( int verbose );
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif /* bignum.h */