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mbedtls/include/polarssl/bignum.h

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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>
*
* 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.
*/
#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
* Note: b is an unsigned integer type, thus
* Negative values of b are ignored.
*
* \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,
* POLARSSL_ERR_MPI_NEGATIVE_VALUE 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,
* POLARSSL_ERR_MPI_NEGATIVE_VALUE 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 */
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