406 lines
10 KiB
C
406 lines
10 KiB
C
/**
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* \file bignum.h
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*/
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#ifndef XYSSL_BIGNUM_H
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#define XYSSL_BIGNUM_H
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#include <stdio.h>
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#define XYSSL_ERR_MPI_FILE_IO_ERROR -0x0002
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#define XYSSL_ERR_MPI_BAD_INPUT_DATA -0x0004
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#define XYSSL_ERR_MPI_INVALID_CHARACTER -0x0006
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#define XYSSL_ERR_MPI_BUFFER_TOO_SMALL -0x0008
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#define XYSSL_ERR_MPI_NEGATIVE_VALUE -0x000A
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#define XYSSL_ERR_MPI_DIVISION_BY_ZERO -0x000C
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#define XYSSL_ERR_MPI_NOT_ACCEPTABLE -0x000E
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#define MPI_CHK(f) if( ( ret = f ) != 0 ) goto cleanup
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/*
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* Define the base integer type, architecture-wise
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*/
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#if defined(XYSSL_HAVE_INT8)
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typedef unsigned char t_int;
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typedef unsigned short t_dbl;
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#else
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#if defined(XYSSL_HAVE_INT16)
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typedef unsigned short t_int;
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typedef unsigned long t_dbl;
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#else
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typedef unsigned long t_int;
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#if defined(_MSC_VER) && defined(_M_IX86)
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typedef unsigned __int64 t_dbl;
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#else
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#if defined(__amd64__) || defined(__x86_64__) || \
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defined(__ppc64__) || defined(__powerpc64__) || \
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defined(__ia64__) || defined(__alpha__)
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typedef unsigned int t_dbl __attribute__((mode(TI)));
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#else
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typedef unsigned long long t_dbl;
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#endif
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#endif
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#endif
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#endif
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/**
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* \brief MPI structure
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*/
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typedef struct
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{
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int s; /*!< integer sign */
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int n; /*!< total # of limbs */
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t_int *p; /*!< pointer to limbs */
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}
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mpi;
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#ifdef __cplusplus
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extern "C" {
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#endif
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/**
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* \brief Initialize one or more mpi
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*/
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void mpi_init( mpi *X, ... );
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/**
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* \brief Unallocate one or more mpi
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*/
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void mpi_free( mpi *X, ... );
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/**
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* \brief Enlarge to the specified number of limbs
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_grow( mpi *X, int nblimbs );
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/**
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* \brief Copy the contents of Y into X
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_copy( mpi *X, mpi *Y );
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/**
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* \brief Swap the contents of X and Y
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*/
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void mpi_swap( mpi *X, mpi *Y );
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/**
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* \brief Set value from integer
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_lset( mpi *X, int z );
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/**
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* \brief Return the number of least significant bits
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*/
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int mpi_lsb( mpi *X );
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/**
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* \brief Return the number of most significant bits
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*/
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int mpi_msb( mpi *X );
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/**
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* \brief Return the total size in bytes
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*/
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int mpi_size( mpi *X );
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/**
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* \brief Import from an ASCII string
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*
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* \param X destination mpi
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* \param radix input numeric base
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* \param s null-terminated string buffer
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*
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* \return 0 if successful, or an XYSSL_ERR_MPI_XXX error code
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*/
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int mpi_read_string( mpi *X, int radix, char *s );
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/**
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* \brief Export into an ASCII string
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*
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* \param X source mpi
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* \param radix output numeric base
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* \param s string buffer
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* \param slen string buffer size
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*
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* \return 0 if successful, or an XYSSL_ERR_MPI_XXX error code
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*
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* \note Call this function with *slen = 0 to obtain the
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* minimum required buffer size in *slen.
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*/
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int mpi_write_string( mpi *X, int radix, char *s, int *slen );
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/**
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* \brief Read X from an opened file
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*
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* \param X destination mpi
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* \param radix input numeric base
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* \param fin input file handle
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*
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* \return 0 if successful, or an XYSSL_ERR_MPI_XXX error code
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*/
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int mpi_read_file( mpi *X, int radix, FILE *fin );
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/**
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* \brief Write X into an opened file, or stdout
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*
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* \param p prefix, can be NULL
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* \param X source mpi
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* \param radix output numeric base
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* \param fout output file handle
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*
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* \return 0 if successful, or an XYSSL_ERR_MPI_XXX error code
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*
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* \note Set fout == NULL to print X on the console.
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*/
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int mpi_write_file( char *p, mpi *X, int radix, FILE *fout );
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/**
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* \brief Import X from unsigned binary data, big endian
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*
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* \param X destination mpi
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* \param buf input buffer
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* \param buflen input buffer size
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_read_binary( mpi *X, unsigned char *buf, int buflen );
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/**
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* \brief Export X into unsigned binary data, big endian
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*
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* \param X source mpi
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* \param buf output buffer
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* \param buflen output buffer size
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*
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* \return 0 if successful,
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* XYSSL_ERR_MPI_BUFFER_TOO_SMALL if buf isn't large enough
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*
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* \note Call this function with *buflen = 0 to obtain the
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* minimum required buffer size in *buflen.
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*/
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int mpi_write_binary( mpi *X, unsigned char *buf, int buflen );
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/**
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* \brief Left-shift: X <<= count
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_shift_l( mpi *X, int count );
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/**
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* \brief Right-shift: X >>= count
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_shift_r( mpi *X, int count );
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/**
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* \brief Compare unsigned values
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*
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* \return 1 if |X| is greater than |Y|,
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* -1 if |X| is lesser than |Y| or
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* 0 if |X| is equal to |Y|
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*/
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int mpi_cmp_abs( mpi *X, mpi *Y );
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/**
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* \brief Compare signed values
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*
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* \return 1 if X is greater than Y,
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* -1 if X is lesser than Y or
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* 0 if X is equal to Y
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*/
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int mpi_cmp_mpi( mpi *X, mpi *Y );
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/**
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* \brief Compare signed values
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*
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* \return 1 if X is greater than z,
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* -1 if X is lesser than z or
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* 0 if X is equal to z
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*/
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int mpi_cmp_int( mpi *X, int z );
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/**
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* \brief Unsigned addition: X = |A| + |B|
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_add_abs( mpi *X, mpi *A, mpi *B );
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/**
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* \brief Unsigned substraction: X = |A| - |B|
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*
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* \return 0 if successful,
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* XYSSL_ERR_MPI_NEGATIVE_VALUE if B is greater than A
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*/
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int mpi_sub_abs( mpi *X, mpi *A, mpi *B );
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/**
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* \brief Signed addition: X = A + B
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_add_mpi( mpi *X, mpi *A, mpi *B );
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/**
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* \brief Signed substraction: X = A - B
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_sub_mpi( mpi *X, mpi *A, mpi *B );
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/**
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* \brief Signed addition: X = A + b
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_add_int( mpi *X, mpi *A, int b );
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/**
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* \brief Signed substraction: X = A - b
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_sub_int( mpi *X, mpi *A, int b );
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/**
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* \brief Baseline multiplication: X = A * B
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_mul_mpi( mpi *X, mpi *A, mpi *B );
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/**
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* \brief Baseline multiplication: X = A * b
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_mul_int( mpi *X, mpi *A, t_int b );
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/**
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* \brief Division by mpi: A = Q * B + R
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*
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* \return 0 if successful,
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* 1 if memory allocation failed,
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* XYSSL_ERR_MPI_DIVISION_BY_ZERO if B == 0
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*
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* \note Either Q or R can be NULL.
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*/
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int mpi_div_mpi( mpi *Q, mpi *R, mpi *A, mpi *B );
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/**
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* \brief Division by int: A = Q * b + R
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*
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* \return 0 if successful,
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* 1 if memory allocation failed,
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* XYSSL_ERR_MPI_DIVISION_BY_ZERO if b == 0
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*
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* \note Either Q or R can be NULL.
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*/
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int mpi_div_int( mpi *Q, mpi *R, mpi *A, int b );
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/**
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* \brief Modulo: R = A mod B
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*
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* \return 0 if successful,
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* 1 if memory allocation failed,
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* XYSSL_ERR_MPI_DIVISION_BY_ZERO if B == 0
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*/
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int mpi_mod_mpi( mpi *R, mpi *A, mpi *B );
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/**
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* \brief Modulo: r = A mod b
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*
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* \return 0 if successful,
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* 1 if memory allocation failed,
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* XYSSL_ERR_MPI_DIVISION_BY_ZERO if b == 0
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*/
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int mpi_mod_int( t_int *r, mpi *A, int b );
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/**
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* \brief Sliding-window exponentiation: X = A^E mod N
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*
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* \return 0 if successful,
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* 1 if memory allocation failed,
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* XYSSL_ERR_MPI_BAD_INPUT_DATA if N is negative or even
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*
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* \note _RR is used to avoid re-computing R*R mod N across
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* multiple calls, which speeds up things a bit. It can
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* be set to NULL if the extra performance is unneeded.
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*/
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int mpi_exp_mod( mpi *X, mpi *A, mpi *E, mpi *N, mpi *_RR );
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/**
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* \brief Greatest common divisor: G = gcd(A, B)
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*
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* \return 0 if successful,
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* 1 if memory allocation failed
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*/
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int mpi_gcd( mpi *G, mpi *A, mpi *B );
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/**
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* \brief Modular inverse: X = A^-1 mod N
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*
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* \return 0 if successful,
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* 1 if memory allocation failed,
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* XYSSL_ERR_MPI_BAD_INPUT_DATA if N is negative or nil
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* XYSSL_ERR_MPI_NOT_ACCEPTABLE if A has no inverse mod N
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*/
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int mpi_inv_mod( mpi *X, mpi *A, mpi *N );
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/**
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* \brief Miller-Rabin primality test
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*
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* \return 0 if successful (probably prime),
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* 1 if memory allocation failed,
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* XYSSL_ERR_MPI_NOT_ACCEPTABLE if X is not prime
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*/
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int mpi_is_prime( mpi *X, int (*f_rng)(void *), void *p_rng );
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/**
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* \brief Prime number generation
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*
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* \param X destination mpi
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* \param nbits required size of X in bits
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* \param dh_flag if 1, then (X-1)/2 will be prime too
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* \param f_rng RNG function
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* \param p_rng RNG parameter
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*
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* \return 0 if successful (probably prime),
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* 1 if memory allocation failed,
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* XYSSL_ERR_MPI_BAD_INPUT_DATA if nbits is < 3
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*/
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int mpi_gen_prime( mpi *X, int nbits, int dh_flag,
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int (*f_rng)(void *), void *p_rng );
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/**
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* \brief Checkup routine
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*
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* \return 0 if successful, or 1 if the test failed
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*/
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int mpi_self_test( int verbose );
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#ifdef __cplusplus
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}
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#endif
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#endif /* bignum.h */
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