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/* mpi.h - Multi Precision Integers
* Copyright (C) 1994, 1996, 1998,
* 2001, 2002, 2003, 2005 Free Software Foundation, Inc.
*
* This file is part of Libgcrypt.
*
* Libgcrypt is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser general Public License as
* published by the Free Software Foundation; either version 2.1 of
* the License, or (at your option) any later version.
*
* Libgcrypt 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 Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
*
* Note: This code is heavily based on the GNU MP Library.
* Actually it's the same code with only minor changes in the
* way the data is stored; this is to support the abstraction
* of an optional secure memory allocation which may be used
* to avoid revealing of sensitive data due to paging etc.
*/
#ifndef G10_MPI_H
#define G10_MPI_H
#include <config.h>
#include <stdio.h>
#include <string.h>
#include "types.h"
#include "../mpi/mpi-asm-defs.h"
#include "g10lib.h"
#ifndef _GCRYPT_IN_LIBGCRYPT
#error this file should only be used inside libgcrypt
#endif
#ifndef BITS_PER_MPI_LIMB
#if BYTES_PER_MPI_LIMB == SIZEOF_UNSIGNED_INT
typedef unsigned int mpi_limb_t;
typedef signed int mpi_limb_signed_t;
#elif BYTES_PER_MPI_LIMB == SIZEOF_UNSIGNED_LONG
typedef unsigned long int mpi_limb_t;
typedef signed long int mpi_limb_signed_t;
#elif BYTES_PER_MPI_LIMB == SIZEOF_UNSIGNED_LONG_LONG
typedef unsigned long long int mpi_limb_t;
typedef signed long long int mpi_limb_signed_t;
#elif BYTES_PER_MPI_LIMB == SIZEOF_UNSIGNED_SHORT
typedef unsigned short int mpi_limb_t;
typedef signed short int mpi_limb_signed_t;
#else
#error BYTES_PER_MPI_LIMB does not match any C type
#endif
#define BITS_PER_MPI_LIMB (8*BYTES_PER_MPI_LIMB)
#endif /*BITS_PER_MPI_LIMB*/
#define DBG_MPI _gcry_get_debug_flag( 2 );
struct gcry_mpi
{
int alloced; /* Array size (# of allocated limbs). */
int nlimbs; /* Number of valid limbs. */
int sign; /* Indicates a negative number and is also used
for opaque MPIs to store the length. */
unsigned int flags; /* Bit 0: Array to be allocated in secure memory space.*/
/* Bit 2: The limb is a pointer to some m_alloced data.*/
/* Bit 4: Immutable MPI - the MPI may not be modified. */
/* Bit 5: Constant MPI - the MPI will not be freed. */
mpi_limb_t *d; /* Array with the limbs */
};
#define MPI_NULL NULL
#define mpi_get_nlimbs(a) ((a)->nlimbs)
#define mpi_has_sign(a) ((a)->sign)
/*-- mpiutil.c --*/
#ifdef M_DEBUG
# define mpi_alloc(n) _gcry_mpi_debug_alloc((n), M_DBGINFO( __LINE__ ) )
# define mpi_alloc_secure(n) _gcry_mpi_debug_alloc_secure((n), M_DBGINFO( __LINE__ ) )
# define mpi_free(a) _gcry_mpi_debug_free((a), M_DBGINFO(__LINE__) )
# define mpi_resize(a,b) _gcry_mpi_debug_resize((a),(b), M_DBGINFO(__LINE__) )
# define mpi_copy(a) _gcry_mpi_debug_copy((a), M_DBGINFO(__LINE__) )
gcry_mpi_t _gcry_mpi_debug_alloc( unsigned nlimbs, const char *info );
gcry_mpi_t _gcry_mpi_debug_alloc_secure( unsigned nlimbs, const char *info );
void _gcry_mpi_debug_free( gcry_mpi_t a, const char *info );
void _gcry_mpi_debug_resize( gcry_mpi_t a, unsigned nlimbs, const char *info );
gcry_mpi_t _gcry_mpi_debug_copy( gcry_mpi_t a, const char *info );
#else
# define mpi_alloc(n) _gcry_mpi_alloc((n) )
# define mpi_alloc_secure(n) _gcry_mpi_alloc_secure((n) )
# define mpi_free(a) _gcry_mpi_free((a) )
# define mpi_resize(a,b) _gcry_mpi_resize((a),(b))
# define mpi_copy(a) _gcry_mpi_copy((a))
gcry_mpi_t _gcry_mpi_alloc( unsigned nlimbs );
gcry_mpi_t _gcry_mpi_alloc_secure( unsigned nlimbs );
void _gcry_mpi_free( gcry_mpi_t a );
void _gcry_mpi_resize( gcry_mpi_t a, unsigned nlimbs );
gcry_mpi_t _gcry_mpi_copy( gcry_mpi_t a );
#endif
void _gcry_mpi_immutable_failed (void);
#define mpi_immutable_failed() _gcry_mpi_immutable_failed ()
#define mpi_is_const(a) ((a) && ((a)->flags&32))
#define mpi_is_immutable(a) ((a) && ((a)->flags&16))
#define mpi_is_opaque(a) ((a) && ((a)->flags&4))
#define mpi_is_secure(a) ((a) && ((a)->flags&1))
#define mpi_clear(a) _gcry_mpi_clear ((a))
#define mpi_alloc_like(a) _gcry_mpi_alloc_like((a))
#define mpi_alloc_set_ui(a) _gcry_mpi_alloc_set_ui ((a))
#define mpi_m_check(a) _gcry_mpi_m_check ((a))
#define mpi_const(n) _gcry_mpi_const ((n))
#define mpi_set_cond(w,u,set) _gcry_mpi_set_cond ((w),(u),(set))
void _gcry_mpi_clear( gcry_mpi_t a );
gcry_mpi_t _gcry_mpi_set_cond (gcry_mpi_t w, const gcry_mpi_t u,
unsigned long swap);
gcry_mpi_t _gcry_mpi_alloc_like( gcry_mpi_t a );
gcry_mpi_t _gcry_mpi_alloc_set_ui( unsigned long u);
void _gcry_mpi_m_check( gcry_mpi_t a );
void _gcry_mpi_swap( gcry_mpi_t a, gcry_mpi_t b);
gcry_mpi_t _gcry_mpi_new (unsigned int nbits);
gcry_mpi_t _gcry_mpi_snew (unsigned int nbits);
gcry_mpi_t _gcry_mpi_set_opaque_copy (gcry_mpi_t a,
const void *p, unsigned int nbits);
void *_gcry_mpi_get_opaque_copy (gcry_mpi_t a, unsigned int *nbits);
int _gcry_mpi_is_neg (gcry_mpi_t a);
void _gcry_mpi_neg (gcry_mpi_t w, gcry_mpi_t u);
void _gcry_mpi_abs (gcry_mpi_t w);
/* Constants used to return constant MPIs. See _gcry_mpi_init if you
want to add more constants. */
#define MPI_NUMBER_OF_CONSTANTS 6
enum gcry_mpi_constants
{
MPI_C_ZERO,
MPI_C_ONE,
MPI_C_TWO,
MPI_C_THREE,
MPI_C_FOUR,
MPI_C_EIGHT
};
gcry_mpi_t _gcry_mpi_const (enum gcry_mpi_constants no);
/*-- mpicoder.c --*/
void _gcry_log_mpidump( const char *text, gcry_mpi_t a );
u32 _gcry_mpi_get_keyid( gcry_mpi_t a, u32 *keyid );
byte *_gcry_mpi_get_buffer (gcry_mpi_t a, unsigned int fill_le,
unsigned int *r_nbytes, int *sign);
byte *_gcry_mpi_get_buffer_extra (gcry_mpi_t a, unsigned int fill_le,
int extraalloc,
unsigned int *r_nbytes, int *sign);
byte *_gcry_mpi_get_secure_buffer (gcry_mpi_t a, unsigned int fill_le,
unsigned *r_nbytes, int *sign);
void _gcry_mpi_set_buffer ( gcry_mpi_t a, const void *buffer,
unsigned int nbytes, int sign );
gpg_err_code_t _gcry_mpi_to_octet_string (unsigned char **r_frame,
void *space,
gcry_mpi_t value, size_t nbytes);
/*-- mpi-div.c --*/
#define mpi_fdiv_r_ui(a,b,c) _gcry_mpi_fdiv_r_ui((a),(b),(c))
#define mpi_fdiv_r(a,b,c) _gcry_mpi_fdiv_r((a),(b),(c))
#define mpi_fdiv_q(a,b,c) _gcry_mpi_fdiv_q((a),(b),(c))
#define mpi_fdiv_qr(a,b,c,d) _gcry_mpi_fdiv_qr((a),(b),(c),(d))
#define mpi_tdiv_r(a,b,c) _gcry_mpi_tdiv_r((a),(b),(c))
#define mpi_tdiv_qr(a,b,c,d) _gcry_mpi_tdiv_qr((a),(b),(c),(d))
#define mpi_tdiv_q_2exp(a,b,c) _gcry_mpi_tdiv_q_2exp((a),(b),(c))
#define mpi_divisible_ui(a,b) _gcry_mpi_divisible_ui((a),(b))
ulong _gcry_mpi_fdiv_r_ui( gcry_mpi_t rem, gcry_mpi_t dividend, ulong divisor );
void _gcry_mpi_fdiv_r( gcry_mpi_t rem, gcry_mpi_t dividend, gcry_mpi_t divisor );
void _gcry_mpi_fdiv_q( gcry_mpi_t quot, gcry_mpi_t dividend, gcry_mpi_t divisor );
void _gcry_mpi_fdiv_qr( gcry_mpi_t quot, gcry_mpi_t rem, gcry_mpi_t dividend, gcry_mpi_t divisor );
void _gcry_mpi_tdiv_r( gcry_mpi_t rem, gcry_mpi_t num, gcry_mpi_t den);
void _gcry_mpi_tdiv_qr( gcry_mpi_t quot, gcry_mpi_t rem, gcry_mpi_t num, gcry_mpi_t den);
void _gcry_mpi_tdiv_q_2exp( gcry_mpi_t w, gcry_mpi_t u, unsigned count );
int _gcry_mpi_divisible_ui(gcry_mpi_t dividend, ulong divisor );
/*-- mpi-mod.c --*/
#define mpi_barrett_init(m,f) _gcry_mpi_barrett_init ((m),(f))
#define mpi_barrett_free(c) _gcry_mpi_barrett_free ((c))
#define mpi_mod_barrett(r,a,c) _gcry_mpi_mod_barrett ((r), (a), (c))
#define mpi_mul_barrett(r,u,v,c) _gcry_mpi_mul_barrett ((r), (u), (v), (c))
/* Context used with Barrett reduction. */
struct barrett_ctx_s;
typedef struct barrett_ctx_s *mpi_barrett_t;
mpi_barrett_t _gcry_mpi_barrett_init (gcry_mpi_t m, int copy);
void _gcry_mpi_barrett_free (mpi_barrett_t ctx);
void _gcry_mpi_mod_barrett (gcry_mpi_t r, gcry_mpi_t x, mpi_barrett_t ctx);
void _gcry_mpi_mul_barrett (gcry_mpi_t w, gcry_mpi_t u, gcry_mpi_t v,
mpi_barrett_t ctx);
/*-- mpi-mpow.c --*/
#define mpi_mulpowm(a,b,c,d) _gcry_mpi_mulpowm ((a),(b),(c),(d))
void _gcry_mpi_mulpowm( gcry_mpi_t res, gcry_mpi_t *basearray, gcry_mpi_t *exparray, gcry_mpi_t mod);
/*-- mpi-scan.c --*/
#define mpi_trailing_zeros(a) _gcry_mpi_trailing_zeros ((a))
int _gcry_mpi_getbyte( gcry_mpi_t a, unsigned idx );
void _gcry_mpi_putbyte( gcry_mpi_t a, unsigned idx, int value );
unsigned _gcry_mpi_trailing_zeros( gcry_mpi_t a );
/*-- mpi-bit.c --*/
#define mpi_normalize(a) _gcry_mpi_normalize ((a))
void _gcry_mpi_normalize( gcry_mpi_t a );
/*-- ec.c --*/
/* Object to represent a point in projective coordinates. */
struct gcry_mpi_point
{
gcry_mpi_t x;
gcry_mpi_t y;
gcry_mpi_t z;
};
typedef struct gcry_mpi_point mpi_point_struct;
typedef struct gcry_mpi_point *mpi_point_t;
void _gcry_mpi_point_init (mpi_point_t p);
void _gcry_mpi_point_free_parts (mpi_point_t p);
void _gcry_mpi_get_point (gcry_mpi_t x, gcry_mpi_t y, gcry_mpi_t z,
mpi_point_t point);
void _gcry_mpi_snatch_point (gcry_mpi_t x, gcry_mpi_t y, gcry_mpi_t z,
mpi_point_t point);
/* Models describing an elliptic curve. */
enum gcry_mpi_ec_models
{
MPI_EC_WEIERSTRASS = 0,
MPI_EC_MONTGOMERY,
MPI_EC_TWISTEDEDWARDS
/* The equation for Twisted Edwards curves is
ax^2 + y^2 = 1 + bx^2y^2
Note that we use 'b' instead of the commonly used 'd'. */
};
/* Dialects used with elliptic curves. It is easier to keep the
definition here than in ecc-common.h. */
enum ecc_dialects
{
ECC_DIALECT_STANDARD = 0,
ECC_DIALECT_ED25519
};
void _gcry_mpi_point_log (const char *name, mpi_point_t point, mpi_ec_t ctx);
#define log_printpnt(a,p,c) _gcry_mpi_point_log ((a), (p), (c))
mpi_ec_t _gcry_mpi_ec_p_internal_new (enum gcry_mpi_ec_models model,
enum ecc_dialects dialect,
int flags,
gcry_mpi_t p, gcry_mpi_t a, gcry_mpi_t b);
gpg_err_code_t _gcry_mpi_ec_p_new (gcry_ctx_t *r_ctx,
enum gcry_mpi_ec_models model,
enum ecc_dialects dialect,
int flags,
gcry_mpi_t p, gcry_mpi_t a, gcry_mpi_t b);
void _gcry_mpi_ec_free (mpi_ec_t ctx);
void _gcry_mpi_ec_dup_point (mpi_point_t result,
mpi_point_t point, mpi_ec_t ctx);
void _gcry_mpi_ec_add_points (mpi_point_t result,
mpi_point_t p1, mpi_point_t p2,
mpi_ec_t ctx);
void _gcry_mpi_ec_mul_point (mpi_point_t result,
gcry_mpi_t scalar, mpi_point_t point,
mpi_ec_t ctx);
int _gcry_mpi_ec_curve_point (gcry_mpi_point_t point, mpi_ec_t ctx);
gcry_mpi_t _gcry_mpi_ec_ec2os (gcry_mpi_point_t point, mpi_ec_t ectx);
gcry_mpi_t _gcry_mpi_ec_get_mpi (const char *name, gcry_ctx_t ctx, int copy);
gcry_mpi_point_t _gcry_mpi_ec_get_point (const char *name,
gcry_ctx_t ctx, int copy);
gpg_err_code_t _gcry_mpi_ec_set_mpi (const char *name, gcry_mpi_t newvalue,
gcry_ctx_t ctx);
gpg_err_code_t _gcry_mpi_ec_set_point (const char *name,
gcry_mpi_point_t newvalue,
gcry_ctx_t ctx);
/*-- ecc-curves.c --*/
gpg_err_code_t _gcry_mpi_ec_new (gcry_ctx_t *r_ctx,
gcry_sexp_t keyparam, const char *curvename);
#endif /*G10_MPI_H*/
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