+++ /dev/null
-/**
- * \file bignum.h
- *
- * \brief Multi-precision integer library
- *
- * Copyright (C) 2006-2013, Brainspark B.V.
- *
- * This file is part of PolarSSL (http://www.polarssl.org)
- * Lead Maintainer: Paul Bakker <polarssl_maintainer at polarssl.org>
- *
- * All rights reserved.
- *
- * 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>
-#include <string.h>
-
-#include "polarssl_config.h"
-
-#ifdef _MSC_VER
-#include <basetsd.h>
-#if (_MSC_VER <= 1200)
-typedef signed short int16_t;
-typedef unsigned short uint16_t;
-#else
-typedef INT16 int16_t;
-typedef UINT16 uint16_t;
-#endif
-typedef INT32 int32_t;
-typedef INT64 int64_t;
-typedef UINT32 uint32_t;
-typedef UINT64 uint64_t;
-#else
-#include <inttypes.h>
-#endif
-
-#define POLARSSL_ERR_MPI_FILE_IO_ERROR -0x0002 /**< An error occurred while reading from or writing to a file. */
-#define POLARSSL_ERR_MPI_BAD_INPUT_DATA -0x0004 /**< Bad input parameters to function. */
-#define POLARSSL_ERR_MPI_INVALID_CHARACTER -0x0006 /**< There is an invalid character in the digit string. */
-#define POLARSSL_ERR_MPI_BUFFER_TOO_SMALL -0x0008 /**< The buffer is too small to write to. */
-#define POLARSSL_ERR_MPI_NEGATIVE_VALUE -0x000A /**< The input arguments are negative or result in illegal output. */
-#define POLARSSL_ERR_MPI_DIVISION_BY_ZERO -0x000C /**< The input argument for division is zero, which is not allowed. */
-#define POLARSSL_ERR_MPI_NOT_ACCEPTABLE -0x000E /**< The input arguments are not acceptable. */
-#define POLARSSL_ERR_MPI_MALLOC_FAILED -0x0010 /**< Memory allocation failed. */
-
-#define MPI_CHK(f) if( ( ret = f ) != 0 ) goto cleanup
-
-/*
- * Maximum size MPIs are allowed to grow to in number of limbs.
- */
-#define POLARSSL_MPI_MAX_LIMBS 10000
-
-#if !defined(POLARSSL_CONFIG_OPTIONS)
-/*
- * Maximum window size used for modular exponentiation. Default: 6
- * Minimum value: 1. Maximum value: 6.
- *
- * Result is an array of ( 2 << POLARSSL_MPI_WINDOW_SIZE ) MPIs used
- * for the sliding window calculation. (So 64 by default)
- *
- * Reduction in size, reduces speed.
- */
-#define POLARSSL_MPI_WINDOW_SIZE 6 /**< Maximum windows size used. */
-
-/*
- * Maximum size of MPIs allowed in bits and bytes for user-MPIs.
- * ( Default: 512 bytes => 4096 bits, Maximum tested: 2048 bytes => 16384 bits )
- *
- * Note: Calculations can results temporarily in larger MPIs. So the number
- * of limbs required (POLARSSL_MPI_MAX_LIMBS) is higher.
- */
-#define POLARSSL_MPI_MAX_SIZE 512 /**< Maximum number of bytes for usable MPIs. */
-
-#endif /* !POLARSSL_CONFIG_OPTIONS */
-
-#define POLARSSL_MPI_MAX_BITS ( 8 * POLARSSL_MPI_MAX_SIZE ) /**< Maximum number of bits for usable MPIs. */
-
-/*
- * When reading from files with mpi_read_file() and writing to files with
- * mpi_write_file() the buffer should have space
- * for a (short) label, the MPI (in the provided radix), the newline
- * characters and the '\0'.
- *
- * By default we assume at least a 10 char label, a minimum radix of 10
- * (decimal) and a maximum of 4096 bit numbers (1234 decimal chars).
- * Autosized at compile time for at least a 10 char label, a minimum radix
- * of 10 (decimal) for a number of POLARSSL_MPI_MAX_BITS size.
- *
- * This used to be statically sized to 1250 for a maximum of 4096 bit
- * numbers (1234 decimal chars).
- *
- * Calculate using the formula:
- * POLARSSL_MPI_RW_BUFFER_SIZE = ceil(POLARSSL_MPI_MAX_BITS / ln(10) * ln(2)) +
- * LabelSize + 6
- */
-#define POLARSSL_MPI_MAX_BITS_SCALE100 ( 100 * POLARSSL_MPI_MAX_BITS )
-#define LN_2_DIV_LN_10_SCALE100 332
-#define POLARSSL_MPI_RW_BUFFER_SIZE ( ((POLARSSL_MPI_MAX_BITS_SCALE100 + LN_2_DIV_LN_10_SCALE100 - 1) / LN_2_DIV_LN_10_SCALE100) + 10 + 6 )
-
-/*
- * Define the base integer type, architecture-wise
- */
-#if defined(POLARSSL_HAVE_INT8)
-typedef signed char t_sint;
-typedef unsigned char t_uint;
-typedef uint16_t t_udbl;
-#define POLARSSL_HAVE_UDBL
-#else
-#if defined(POLARSSL_HAVE_INT16)
-typedef int16_t t_sint;
-typedef uint16_t t_uint;
-typedef uint32_t t_udbl;
-#define POLARSSL_HAVE_UDBL
-#else
- #if ( defined(_MSC_VER) && defined(_M_AMD64) )
- typedef int64_t t_sint;
- typedef uint64_t t_uint;
- #else
- #if ( defined(__GNUC__) && ( \
- defined(__amd64__) || defined(__x86_64__) || \
- defined(__ppc64__) || defined(__powerpc64__) || \
- defined(__ia64__) || defined(__alpha__) || \
- (defined(__sparc__) && defined(__arch64__)) || \
- defined(__s390x__) ) )
- typedef int64_t t_sint;
- typedef uint64_t t_uint;
- typedef unsigned int t_udbl __attribute__((mode(TI)));
- #define POLARSSL_HAVE_UDBL
- #else
- typedef int32_t t_sint;
- typedef uint32_t t_uint;
- #if ( defined(_MSC_VER) && defined(_M_IX86) )
- typedef uint64_t t_udbl;
- #define POLARSSL_HAVE_UDBL
- #else
- #if defined( POLARSSL_HAVE_LONGLONG )
- typedef unsigned long long t_udbl;
- #define POLARSSL_HAVE_UDBL
- #endif
- #endif
- #endif
- #endif
-#endif /* POLARSSL_HAVE_INT16 */
-#endif /* POLARSSL_HAVE_INT8 */
-
-/**
- * \brief MPI structure
- */
-typedef struct
-{
- int s; /*!< integer sign */
- size_t n; /*!< total # of limbs */
- t_uint *p; /*!< pointer to limbs */
-}
-mpi;
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-/**
- * \brief Initialize one MPI
- *
- * \param X One MPI to initialize.
- */
-void mpi_init( mpi *X );
-
-/**
- * \brief Unallocate one MPI
- *
- * \param X One MPI to unallocate.
- */
-void mpi_free( mpi *X );
-
-/**
- * \brief Enlarge to the specified number of limbs
- *
- * \param X MPI to grow
- * \param nblimbs The target number of limbs
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_grow( mpi *X, size_t nblimbs );
-
-/**
- * \brief Copy the contents of Y into X
- *
- * \param X Destination MPI
- * \param Y Source MPI
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_copy( mpi *X, const mpi *Y );
-
-/**
- * \brief Swap the contents of X and Y
- *
- * \param X First MPI value
- * \param Y Second MPI value
- */
-void mpi_swap( mpi *X, mpi *Y );
-
-/**
- * \brief Set value from integer
- *
- * \param X MPI to set
- * \param z Value to use
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_lset( mpi *X, t_sint z );
-
-/**
- * \brief Get a specific bit from X
- *
- * \param X MPI to use
- * \param pos Zero-based index of the bit in X
- *
- * \return Either a 0 or a 1
- */
-int mpi_get_bit( const mpi *X, size_t pos );
-
-/**
- * \brief Set a bit of X to a specific value of 0 or 1
- *
- * \note Will grow X if necessary to set a bit to 1 in a not yet
- * existing limb. Will not grow if bit should be set to 0
- *
- * \param X MPI to use
- * \param pos Zero-based index of the bit in X
- * \param val The value to set the bit to (0 or 1)
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed,
- * POLARSSL_ERR_MPI_BAD_INPUT_DATA if val is not 0 or 1
- */
-int mpi_set_bit( mpi *X, size_t pos, unsigned char val );
-
-/**
- * \brief Return the number of zero-bits before the least significant
- * '1' bit
- *
- * Note: Thus also the zero-based index of the least significant '1' bit
- *
- * \param X MPI to use
- */
-size_t mpi_lsb( const mpi *X );
-
-/**
- * \brief Return the number of bits up to and including the most
- * significant '1' bit'
- *
- * Note: Thus also the one-based index of the most significant '1' bit
- *
- * \param X MPI to use
- */
-size_t mpi_msb( const mpi *X );
-
-/**
- * \brief Return the total size in bytes
- *
- * \param X MPI to use
- */
-size_t mpi_size( const 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 a POLARSSL_ERR_MPI_XXX error code
- */
-int mpi_read_string( mpi *X, int radix, const 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 a POLARSSL_ERR_MPI_XXX error code.
- * *slen is always updated to reflect the amount
- * of data that has (or would have) been written.
- *
- * \note Call this function with *slen = 0 to obtain the
- * minimum required buffer size in *slen.
- */
-int mpi_write_string( const mpi *X, int radix, char *s, size_t *slen );
-
-#if defined(POLARSSL_FS_IO)
-/**
- * \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, POLARSSL_ERR_MPI_BUFFER_TOO_SMALL if
- * the file read buffer is too small or a
- * 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 if fout is NULL
- *
- * \param p Prefix, can be NULL
- * \param X Source MPI
- * \param radix Output numeric base
- * \param fout Output file handle (can be NULL)
- *
- * \return 0 if successful, or a POLARSSL_ERR_MPI_XXX error code
- *
- * \note Set fout == NULL to print X on the console.
- */
-int mpi_write_file( const char *p, const mpi *X, int radix, FILE *fout );
-#endif /* POLARSSL_FS_IO */
-
-/**
- * \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,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_read_binary( mpi *X, const unsigned char *buf, size_t 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
- */
-int mpi_write_binary( const mpi *X, unsigned char *buf, size_t buflen );
-
-/**
- * \brief Left-shift: X <<= count
- *
- * \param X MPI to shift
- * \param count Amount to shift
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_shift_l( mpi *X, size_t count );
-
-/**
- * \brief Right-shift: X >>= count
- *
- * \param X MPI to shift
- * \param count Amount to shift
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_shift_r( mpi *X, size_t count );
-
-/**
- * \brief Compare unsigned values
- *
- * \param X Left-hand MPI
- * \param Y Right-hand MPI
- *
- * \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( const mpi *X, const mpi *Y );
-
-/**
- * \brief Compare signed values
- *
- * \param X Left-hand MPI
- * \param Y Right-hand MPI
- *
- * \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( const mpi *X, const mpi *Y );
-
-/**
- * \brief Compare signed values
- *
- * \param X Left-hand MPI
- * \param z The integer value to compare to
- *
- * \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( const mpi *X, t_sint z );
-
-/**
- * \brief Unsigned addition: X = |A| + |B|
- *
- * \param X Destination MPI
- * \param A Left-hand MPI
- * \param B Right-hand MPI
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_add_abs( mpi *X, const mpi *A, const mpi *B );
-
-/**
- * \brief Unsigned substraction: X = |A| - |B|
- *
- * \param X Destination MPI
- * \param A Left-hand MPI
- * \param B Right-hand MPI
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_NEGATIVE_VALUE if B is greater than A
- */
-int mpi_sub_abs( mpi *X, const mpi *A, const mpi *B );
-
-/**
- * \brief Signed addition: X = A + B
- *
- * \param X Destination MPI
- * \param A Left-hand MPI
- * \param B Right-hand MPI
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_add_mpi( mpi *X, const mpi *A, const mpi *B );
-
-/**
- * \brief Signed substraction: X = A - B
- *
- * \param X Destination MPI
- * \param A Left-hand MPI
- * \param B Right-hand MPI
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_sub_mpi( mpi *X, const mpi *A, const mpi *B );
-
-/**
- * \brief Signed addition: X = A + b
- *
- * \param X Destination MPI
- * \param A Left-hand MPI
- * \param b The integer value to add
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_add_int( mpi *X, const mpi *A, t_sint b );
-
-/**
- * \brief Signed substraction: X = A - b
- *
- * \param X Destination MPI
- * \param A Left-hand MPI
- * \param b The integer value to subtract
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_sub_int( mpi *X, const mpi *A, t_sint b );
-
-/**
- * \brief Baseline multiplication: X = A * B
- *
- * \param X Destination MPI
- * \param A Left-hand MPI
- * \param B Right-hand MPI
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_mul_mpi( mpi *X, const mpi *A, const mpi *B );
-
-/**
- * \brief Baseline multiplication: X = A * b
- * Note: b is an unsigned integer type, thus
- * Negative values of b are ignored.
- *
- * \param X Destination MPI
- * \param A Left-hand MPI
- * \param b The integer value to multiply with
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_mul_int( mpi *X, const mpi *A, t_sint b );
-
-/**
- * \brief Division by mpi: A = Q * B + R
- *
- * \param Q Destination MPI for the quotient
- * \param R Destination MPI for the rest value
- * \param A Left-hand MPI
- * \param B Right-hand MPI
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED 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, const mpi *A, const mpi *B );
-
-/**
- * \brief Division by int: A = Q * b + R
- *
- * \param Q Destination MPI for the quotient
- * \param R Destination MPI for the rest value
- * \param A Left-hand MPI
- * \param b Integer to divide by
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED 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, const mpi *A, t_sint b );
-
-/**
- * \brief Modulo: R = A mod B
- *
- * \param R Destination MPI for the rest value
- * \param A Left-hand MPI
- * \param B Right-hand MPI
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED 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, const mpi *A, const mpi *B );
-
-/**
- * \brief Modulo: r = A mod b
- *
- * \param r Destination t_uint
- * \param A Left-hand MPI
- * \param b Integer to divide by
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED 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_uint *r, const mpi *A, t_sint b );
-
-/**
- * \brief Sliding-window exponentiation: X = A^E mod N
- *
- * \param X Destination MPI
- * \param A Left-hand MPI
- * \param E Exponent MPI
- * \param N Modular MPI
- * \param _RR Speed-up MPI used for recalculations
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed,
- * POLARSSL_ERR_MPI_BAD_INPUT_DATA if N is negative or even or if
- * E is negative
- *
- * \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, const mpi *A, const mpi *E, const mpi *N, mpi *_RR );
-
-/**
- * \brief Fill an MPI X with size bytes of random
- *
- * \param X Destination MPI
- * \param size Size in bytes
- * \param f_rng RNG function
- * \param p_rng RNG parameter
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_fill_random( mpi *X, size_t size,
- int (*f_rng)(void *, unsigned char *, size_t),
- void *p_rng );
-
-/**
- * \brief Greatest common divisor: G = gcd(A, B)
- *
- * \param G Destination MPI
- * \param A Left-hand MPI
- * \param B Right-hand MPI
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
- */
-int mpi_gcd( mpi *G, const mpi *A, const mpi *B );
-
-/**
- * \brief Modular inverse: X = A^-1 mod N
- *
- * \param X Destination MPI
- * \param A Left-hand MPI
- * \param N Right-hand MPI
- *
- * \return 0 if successful,
- * POLARSSL_ERR_MPI_MALLOC_FAILED 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, const mpi *A, const mpi *N );
-
-/**
- * \brief Miller-Rabin primality test
- *
- * \param X MPI to check
- * \param f_rng RNG function
- * \param p_rng RNG parameter
- *
- * \return 0 if successful (probably prime),
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed,
- * POLARSSL_ERR_MPI_NOT_ACCEPTABLE if X is not prime
- */
-int mpi_is_prime( mpi *X,
- int (*f_rng)(void *, unsigned char *, size_t),
- void *p_rng );
-
-/**
- * \brief Prime number generation
- *
- * \param X Destination MPI
- * \param nbits Required size of X in bits ( 3 <= nbits <= POLARSSL_MPI_MAX_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),
- * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed,
- * POLARSSL_ERR_MPI_BAD_INPUT_DATA if nbits is < 3
- */
-int mpi_gen_prime( mpi *X, size_t nbits, int dh_flag,
- int (*f_rng)(void *, unsigned char *, size_t),
- 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 */
projects / proxmark3-svn / blobdiff