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* Copyright (C) 2017 Denys Vlasenko
* Licensed under GPLv2, see file LICENSE in this source tree.
/* The file is taken almost verbatim from matrixssl-3-7-2b-open/crypto/math/.
* Changes are flagged with //bbox
* @file pstm.h
* @version 33ef80f (HEAD, tag: MATRIXSSL-3-7-2-OPEN, tag: MATRIXSSL-3-7-2-COMM, origin/master, origin/HEAD, master)
* multiple-precision integer library.
* Copyright (c) 2013-2015 INSIDE Secure Corporation
* Copyright (c) PeerSec Networks, 2002-2011
* All Rights Reserved
* The latest version of this code is available at
* This software is open source; 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 General Public License does NOT permit incorporating this software
* into proprietary programs. If you are unable to comply with the GPL, a
* commercial license for this software may be purchased from INSIDE at
* This program is distributed in WITHOUT ANY WARRANTY; without even the
* 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#ifndef _h_PSTMATH
#define _h_PSTMATH
/* Define this here to avoid including circular limits.h on some platforms */
#ifndef CHAR_BIT
#define CHAR_BIT 8
If native 64 bit integers are not supported, we do not support 32x32->64
in hardware, so we must set the 16 bit flag to produce 16x16->32 products.
#define PSTM_16BIT
#endif /* ! HAVE_NATIVE_INT64 */
Some default configurations.
pstm_word should be the largest value the processor can hold as the product
of a multiplication. Most platforms support a 32x32->64 MAC instruction,
so 64bits is the default pstm_word size.
pstm_digit should be half the size of pstm_word
#ifdef PSTM_8BIT
/* 8-bit digits, 16-bit word products */
typedef unsigned char pstm_digit;
typedef unsigned short pstm_word;
#define DIGIT_BIT 8
#elif defined(PSTM_16BIT)
/* 16-bit digits, 32-bit word products */
typedef unsigned short pstm_digit;
typedef unsigned long pstm_word;
#define DIGIT_BIT 16
#elif defined(PSTM_64BIT)
/* 64-bit digits, 128-bit word products */
#ifndef __GNUC__
#error "64bit digits requires GCC"
typedef unsigned long pstm_digit;
typedef unsigned long pstm_word __attribute__ ((mode(TI)));
#define DIGIT_BIT 64
/* This is the default case, 32-bit digits, 64-bit word products */
typedef uint32 pstm_digit;
typedef uint64 pstm_word;
#define DIGIT_BIT 32
#define PSTM_32BIT
#endif /* digit and word size */
#define PSTM_MASK (pstm_digit)(-1)
#define PSTM_LT -1 /* less than */
#define PSTM_EQ 0 /* equal to */
#define PSTM_GT 1 /* greater than */
#define PSTM_ZPOS 0 /* positive integer */
#define PSTM_NEG 1 /* negative */
Various build options
#define PSTM_DEFAULT_INIT 64 /* default (64) digits of allocation */
#define PSTM_MAX_SIZE 4096
typedef struct {
int used, alloc, sign; //bbox: was int16
pstm_digit *dp;
//bbox psPool_t *pool;
} pstm_int;
Operations on large integers
#define pstm_iszero(a) (((a)->used == 0) ? PS_TRUE : PS_FALSE)
#define pstm_iseven(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 0)) ? PS_TRUE : PS_FALSE)
#define pstm_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? PS_TRUE : PS_FALSE)
#define pstm_abs(a, b) { pstm_copy(a, b); (b)->sign = 0; }
//made static:extern void pstm_set(pstm_int *a, pstm_digit b);
//made static:extern void pstm_zero(pstm_int * a);
//bbox: pool unused
#define pstm_init(pool, a) \
pstm_init( a)
//made static:extern int32 pstm_init(psPool_t *pool, pstm_int * a);
//bbox: pool unused
#define pstm_init_size(pool, a, size) \
pstm_init_size( a, size)
extern int32 pstm_init_size(psPool_t *pool, pstm_int * a, uint32 size) FAST_FUNC;
//bbox: pool unused
#define pstm_init_copy(pool, a, b, toSqr) \
pstm_init_copy( a, b, toSqr)
//made static:extern int32 pstm_init_copy(psPool_t *pool, pstm_int * a, pstm_int * b,
//made static: int toSqr); //bbox: was int16 toSqr
//made static:extern int pstm_count_bits (pstm_int * a) FAST_FUNC; //bbox: was returning int16
//bbox: pool unused
#define pstm_init_for_read_unsigned_bin(pool, a, len) \
pstm_init_for_read_unsigned_bin( a, len)
extern int32 pstm_init_for_read_unsigned_bin(psPool_t *pool, pstm_int *a,
uint32 len) FAST_FUNC;
extern int32 pstm_read_unsigned_bin(pstm_int *a, unsigned char *b, int32 c) FAST_FUNC;
extern int32 pstm_unsigned_bin_size(pstm_int *a) FAST_FUNC;
extern int32 pstm_copy(pstm_int * a, pstm_int * b);
//made static:extern void pstm_exch(pstm_int * a, pstm_int * b);
extern void pstm_clear(pstm_int * a) FAST_FUNC;
extern void pstm_clear_multi(pstm_int *mp0, pstm_int *mp1, pstm_int *mp2,
pstm_int *mp3, pstm_int *mp4, pstm_int *mp5, pstm_int *mp6,
pstm_int *mp7) FAST_FUNC;
extern int32 pstm_grow(pstm_int * a, int size) FAST_FUNC; //bbox: was int16 size
extern void pstm_clamp(pstm_int * a) FAST_FUNC;
extern int32 pstm_cmp(pstm_int * a, pstm_int * b) FAST_FUNC;
extern int32 pstm_cmp_mag(pstm_int * a, pstm_int * b) FAST_FUNC;
//made static:extern void pstm_rshd(pstm_int *a, int x); //bbox: was int16 x
//made static:extern int32 pstm_lshd(pstm_int * a, int b); //bbox: was int16 b
//bbox: pool unused
#define pstm_div(pool, a, b, c, d) \
pstm_div( a, b, c, d)
//made static:extern int32 pstm_div(psPool_t *pool, pstm_int *a, pstm_int *b, pstm_int *c,
//made static: pstm_int *d);
//bbox: pool unused
#define pstm_div_2d(pool, a, b, c, d) \
pstm_div_2d( a, b, c, d)
//made static:extern int32 pstm_div_2d(psPool_t *pool, pstm_int *a, int b, pstm_int *c,
//made static: pstm_int *d); //bbox: was int16 b
extern int32 pstm_div_2(pstm_int * a, pstm_int * b) FAST_FUNC;
extern int32 s_pstm_sub(pstm_int *a, pstm_int *b, pstm_int *c) FAST_FUNC;
extern int32 pstm_sub(pstm_int *a, pstm_int *b, pstm_int *c) FAST_FUNC;
//bbox: pool unused
#define pstm_sub_d(pool, a, b, c) \
pstm_sub_d( a, b, c)
extern int32 pstm_sub_d(psPool_t *pool, pstm_int *a, pstm_digit b, pstm_int *c) FAST_FUNC;
extern int32 pstm_mul_2(pstm_int * a, pstm_int * b) FAST_FUNC;
//bbox: pool unused
#define pstm_mod(pool, a, b, c) \
pstm_mod( a, b, c)
//made static:extern int32 pstm_mod(psPool_t *pool, pstm_int *a, pstm_int *b, pstm_int *c);
//bbox: pool unused
#define pstm_mulmod(pool, a, b, c, d) \
pstm_mulmod( a, b, c, d)
extern int32 pstm_mulmod(psPool_t *pool, pstm_int *a, pstm_int *b, pstm_int *c,
pstm_int *d) FAST_FUNC;
//bbox: pool unused
#define pstm_exptmod(pool, G, X, P, Y) \
pstm_exptmod( G, X, P, Y)
extern int32 pstm_exptmod(psPool_t *pool, pstm_int *G, pstm_int *X, pstm_int *P,
pstm_int *Y) FAST_FUNC;
//made static:extern int32 pstm_2expt(pstm_int *a, int b); //bbox: was int16 b
extern int32 pstm_add(pstm_int *a, pstm_int *b, pstm_int *c) FAST_FUNC;
//bbox: pool unused
#define pstm_to_unsigned_bin(pool, a, b) \
pstm_to_unsigned_bin( a, b)
extern int32 pstm_to_unsigned_bin(psPool_t *pool, pstm_int *a,
unsigned char *b) FAST_FUNC;
//bbox: pool unused
#define pstm_to_unsigned_bin_nr(pool, a, b) \
pstm_to_unsigned_bin_nr( a, b)
extern int32 pstm_to_unsigned_bin_nr(psPool_t *pool, pstm_int *a,
unsigned char *b) FAST_FUNC;
//made static:extern int32 pstm_montgomery_setup(pstm_int *a, pstm_digit *rho);
//bbox: pool unused
#define pstm_montgomery_reduce(pool, a, m, mp, paD, paDlen) \
pstm_montgomery_reduce( a, m, mp, paD, paDlen)
extern int32 pstm_montgomery_reduce(psPool_t *pool, pstm_int *a, pstm_int *m,
pstm_digit mp, pstm_digit *paD, uint32 paDlen) FAST_FUNC;
#define pstm_mul_comba(pool, A, B, C, paD, paDlen) \
pstm_mul_comba( A, B, C, paD, paDlen)
extern int32 pstm_mul_comba(psPool_t *pool, pstm_int *A, pstm_int *B,
pstm_int *C, pstm_digit *paD, uint32 paDlen) FAST_FUNC;
//bbox: pool unused
#define pstm_sqr_comba(pool, A, B, paD, paDlen) \
pstm_sqr_comba( A, B, paD, paDlen)
extern int32 pstm_sqr_comba(psPool_t *pool, pstm_int *A, pstm_int *B,
pstm_digit *paD, uint32 paDlen) FAST_FUNC;
//made static:extern int32 pstm_cmp_d(pstm_int *a, pstm_digit b);
//made static:extern int32 pstm_montgomery_calc_normalization(pstm_int *a, pstm_int *b);
//made static:extern int32 pstm_mul_d(pstm_int *a, pstm_digit b, pstm_int *c);
//bbox: pool unused
#define pstm_invmod(pool, a, b, c) \
pstm_invmod( a, b, c)
extern int32 pstm_invmod(psPool_t *pool, pstm_int * a, pstm_int * b,
pstm_int * c) FAST_FUNC;
#else /* DISABLE_PSTM */
typedef int32 pstm_int;
#endif /* !DISABLE_PSTM */
#endif /* _h_PSTMATH */