bignum.h

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#ifndef MBEDTLS_BIGNUM_H
#define MBEDTLS_BIGNUM_H

#if !defined(MBEDTLS_CONFIG_FILE)
#include "config.h"
#else
#include MBEDTLS_CONFIG_FILE
#endif

#include <stddef.h>
#include <stdint.h>

#if defined(MBEDTLS_FS_IO)
#include <stdio.h>
#endif

#define MBEDTLS_ERR_MPI_FILE_IO_ERROR -0x0002 
#define MBEDTLS_ERR_MPI_BAD_INPUT_DATA -0x0004 
#define MBEDTLS_ERR_MPI_INVALID_CHARACTER -0x0006 
#define MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL -0x0008 
#define MBEDTLS_ERR_MPI_NEGATIVE_VALUE -0x000A 
#define MBEDTLS_ERR_MPI_DIVISION_BY_ZERO -0x000C 
#define MBEDTLS_ERR_MPI_NOT_ACCEPTABLE -0x000E 
#define MBEDTLS_ERR_MPI_ALLOC_FAILED -0x0010 
#define MBEDTLS_MPI_CHK(f) do { if( ( ret = f ) != 0 ) goto cleanup; } while( 0 )

/*
 * Maximum size MPIs are allowed to grow to in number of limbs.
 */
#define MBEDTLS_MPI_MAX_LIMBS 10000

#if !defined(MBEDTLS_MPI_WINDOW_SIZE)
/*
 * Maximum window size used for modular exponentiation. Default: 6
 * Minimum value: 1. Maximum value: 6.
 *
 * Result is an array of ( 2 << MBEDTLS_MPI_WINDOW_SIZE ) MPIs used
 * for the sliding window calculation. (So 64 by default)
 *
 * Reduction in size, reduces speed.
 */
#define MBEDTLS_MPI_WINDOW_SIZE 6 
#endif /* !MBEDTLS_MPI_WINDOW_SIZE */

#if !defined(MBEDTLS_MPI_MAX_SIZE)
/*
 * 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 (MBEDTLS_MPI_MAX_LIMBS) is higher.
 */
#define MBEDTLS_MPI_MAX_SIZE 1024 
#endif /* !MBEDTLS_MPI_MAX_SIZE */

#define MBEDTLS_MPI_MAX_BITS ( 8 * MBEDTLS_MPI_MAX_SIZE ) 
/*
 * When reading from files with mbedtls_mpi_read_file() and writing to files with
 * mbedtls_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 MBEDTLS_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:
 * MBEDTLS_MPI_RW_BUFFER_SIZE = ceil(MBEDTLS_MPI_MAX_BITS / ln(10) * ln(2)) +
 * LabelSize + 6
 */
#define MBEDTLS_MPI_MAX_BITS_SCALE100 ( 100 * MBEDTLS_MPI_MAX_BITS )
#define MBEDTLS_LN_2_DIV_LN_10_SCALE100 332
#define MBEDTLS_MPI_RW_BUFFER_SIZE ( ((MBEDTLS_MPI_MAX_BITS_SCALE100 + MBEDTLS_LN_2_DIV_LN_10_SCALE100 - 1) / MBEDTLS_LN_2_DIV_LN_10_SCALE100) + 10 + 6 )

/*
 * Define the base integer type, architecture-wise.
 *
 * 32 or 64-bit integer types can be forced regardless of the underlying
 * architecture by defining MBEDTLS_HAVE_INT32 or MBEDTLS_HAVE_INT64
 * respectively and undefining MBEDTLS_HAVE_ASM.
 *
 * Double-width integers (e.g. 128-bit in 64-bit architectures) can be
 * disabled by defining MBEDTLS_NO_UDBL_DIVISION.
 */
#if !defined(MBEDTLS_HAVE_INT32)
 #if defined(_MSC_VER) && defined(_M_AMD64)
 /* Always choose 64-bit when using MSC */
 #if !defined(MBEDTLS_HAVE_INT64)
 #define MBEDTLS_HAVE_INT64
 #endif /* !MBEDTLS_HAVE_INT64 */
 typedef int64_t mbedtls_mpi_sint;
 typedef uint64_t mbedtls_mpi_uint;
 #elif defined(__GNUC__) && ( \
 defined(__amd64__) || defined(__x86_64__) || \
 defined(__ppc64__) || defined(__powerpc64__) || \
 defined(__ia64__) || defined(__alpha__) || \
 ( defined(__sparc__) && defined(__arch64__) ) || \
 defined(__s390x__) || defined(__mips64) )
 #if !defined(MBEDTLS_HAVE_INT64)
 #define MBEDTLS_HAVE_INT64
 #endif /* MBEDTLS_HAVE_INT64 */
 typedef int64_t mbedtls_mpi_sint;
 typedef uint64_t mbedtls_mpi_uint;
 #if !defined(MBEDTLS_NO_UDBL_DIVISION)
 /* mbedtls_t_udbl defined as 128-bit unsigned int */
 typedef unsigned int mbedtls_t_udbl __attribute__((mode(TI)));
 #define MBEDTLS_HAVE_UDBL
 #endif /* !MBEDTLS_NO_UDBL_DIVISION */
 #elif defined(__ARMCC_VERSION) && defined(__aarch64__)
 /*
 * __ARMCC_VERSION is defined for both armcc and armclang and
 * __aarch64__ is only defined by armclang when compiling 64-bit code
 */
 #if !defined(MBEDTLS_HAVE_INT64)
 #define MBEDTLS_HAVE_INT64
 #endif /* !MBEDTLS_HAVE_INT64 */
 typedef int64_t mbedtls_mpi_sint;
 typedef uint64_t mbedtls_mpi_uint;
 #if !defined(MBEDTLS_NO_UDBL_DIVISION)
 /* mbedtls_t_udbl defined as 128-bit unsigned int */
 typedef __uint128_t mbedtls_t_udbl;
 #define MBEDTLS_HAVE_UDBL
 #endif /* !MBEDTLS_NO_UDBL_DIVISION */
 #elif defined(MBEDTLS_HAVE_INT64)
 /* Force 64-bit integers with unknown compiler */
 typedef int64_t mbedtls_mpi_sint;
 typedef uint64_t mbedtls_mpi_uint;
 #endif
#endif /* !MBEDTLS_HAVE_INT32 */

#if !defined(MBEDTLS_HAVE_INT64)
 /* Default to 32-bit compilation */
 #if !defined(MBEDTLS_HAVE_INT32)
 #define MBEDTLS_HAVE_INT32
 #endif /* !MBEDTLS_HAVE_INT32 */
 typedef int32_t mbedtls_mpi_sint;
 typedef uint32_t mbedtls_mpi_uint;
 #if !defined(MBEDTLS_NO_UDBL_DIVISION)
 typedef uint64_t mbedtls_t_udbl;
 #define MBEDTLS_HAVE_UDBL
 #endif /* !MBEDTLS_NO_UDBL_DIVISION */
#endif /* !MBEDTLS_HAVE_INT64 */

#ifdef __cplusplus
extern "C" {
#endif

typedef struct
{
 int s; 
 size_t n; 
 mbedtls_mpi_uint *p; 
}
mbedtls_mpi;

void mbedtls_mpi_init( mbedtls_mpi *X );

void mbedtls_mpi_free( mbedtls_mpi *X );

int mbedtls_mpi_grow( mbedtls_mpi *X, size_t nblimbs );

int mbedtls_mpi_shrink( mbedtls_mpi *X, size_t nblimbs );

int mbedtls_mpi_copy( mbedtls_mpi *X, const mbedtls_mpi *Y );

void mbedtls_mpi_swap( mbedtls_mpi *X, mbedtls_mpi *Y );

int mbedtls_mpi_safe_cond_assign( mbedtls_mpi *X, const mbedtls_mpi *Y, unsigned char assign );

int mbedtls_mpi_safe_cond_swap( mbedtls_mpi *X, mbedtls_mpi *Y, unsigned char assign );

int mbedtls_mpi_lset( mbedtls_mpi *X, mbedtls_mpi_sint z );

int mbedtls_mpi_get_bit( const mbedtls_mpi *X, size_t pos );

int mbedtls_mpi_set_bit( mbedtls_mpi *X, size_t pos, unsigned char val );

size_t mbedtls_mpi_lsb( const mbedtls_mpi *X );

size_t mbedtls_mpi_bitlen( const mbedtls_mpi *X );

size_t mbedtls_mpi_size( const mbedtls_mpi *X );

int mbedtls_mpi_read_string( mbedtls_mpi *X, int radix, const char *s );

int mbedtls_mpi_write_string( const mbedtls_mpi *X, int radix,
 char *buf, size_t buflen, size_t *olen );

#if defined(MBEDTLS_FS_IO)

int mbedtls_mpi_read_file( mbedtls_mpi *X, int radix, FILE *fin );

int mbedtls_mpi_write_file( const char *p, const mbedtls_mpi *X, int radix, FILE *fout );
#endif /* MBEDTLS_FS_IO */

int mbedtls_mpi_read_binary( mbedtls_mpi *X, const unsigned char *buf, size_t buflen );

int mbedtls_mpi_write_binary( const mbedtls_mpi *X, unsigned char *buf, size_t buflen );

int mbedtls_mpi_shift_l( mbedtls_mpi *X, size_t count );

int mbedtls_mpi_shift_r( mbedtls_mpi *X, size_t count );

int mbedtls_mpi_cmp_abs( const mbedtls_mpi *X, const mbedtls_mpi *Y );

int mbedtls_mpi_cmp_mpi( const mbedtls_mpi *X, const mbedtls_mpi *Y );

int mbedtls_mpi_cmp_int( const mbedtls_mpi *X, mbedtls_mpi_sint z );

int mbedtls_mpi_add_abs( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B );

int mbedtls_mpi_sub_abs( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B );

int mbedtls_mpi_add_mpi( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B );

int mbedtls_mpi_sub_mpi( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B );

int mbedtls_mpi_add_int( mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_sint b );

int mbedtls_mpi_sub_int( mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_sint b );

int mbedtls_mpi_mul_mpi( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B );

int mbedtls_mpi_mul_int( mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_uint b );

int mbedtls_mpi_div_mpi( mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A, const mbedtls_mpi *B );

int mbedtls_mpi_div_int( mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A, mbedtls_mpi_sint b );

int mbedtls_mpi_mod_mpi( mbedtls_mpi *R, const mbedtls_mpi *A, const mbedtls_mpi *B );

int mbedtls_mpi_mod_int( mbedtls_mpi_uint *r, const mbedtls_mpi *A, mbedtls_mpi_sint b );

int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *E, const mbedtls_mpi *N, mbedtls_mpi *_RR );

int mbedtls_mpi_fill_random( mbedtls_mpi *X, size_t size,
 int (*f_rng)(void *, unsigned char *, size_t),
 void *p_rng );

int mbedtls_mpi_gcd( mbedtls_mpi *G, const mbedtls_mpi *A, const mbedtls_mpi *B );

int mbedtls_mpi_inv_mod( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *N );

int mbedtls_mpi_is_prime( const mbedtls_mpi *X,
 int (*f_rng)(void *, unsigned char *, size_t),
 void *p_rng );

int mbedtls_mpi_gen_prime( mbedtls_mpi *X, size_t nbits, int dh_flag,
 int (*f_rng)(void *, unsigned char *, size_t),
 void *p_rng );

int mbedtls_mpi_self_test( int verbose );

#ifdef __cplusplus
}
#endif

#endif /* bignum.h */