268 lines
12 KiB
C
268 lines
12 KiB
C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
|
|
/* SPDX-License-Identifier: Unlicense */
|
|
|
|
#ifndef TOMMATH_PRIVATE_H_
|
|
#define TOMMATH_PRIVATE_H_
|
|
|
|
#include "tommath.h"
|
|
#include "tommath_class.h"
|
|
#include <limits.h>
|
|
|
|
/*
|
|
* Private symbols
|
|
* ---------------
|
|
*
|
|
* On Unix symbols can be marked as hidden if libtommath is compiled
|
|
* as a shared object. By default, symbols are visible.
|
|
* On Win32 a .def file must be used to specify the exported symbols.
|
|
*/
|
|
#if defined(__GNUC__) && __GNUC__ >= 4 && !defined(_WIN32) && !defined(__CYGWIN__)
|
|
# define MP_PRIVATE __attribute__ ((visibility ("hidden")))
|
|
#else
|
|
# define MP_PRIVATE
|
|
#endif
|
|
|
|
/* Hardening libtommath
|
|
* --------------------
|
|
*
|
|
* By default memory is zeroed before calling
|
|
* MP_FREE to avoid leaking data. This is good
|
|
* practice in cryptographical applications.
|
|
*
|
|
* Note however that memory allocators used
|
|
* in cryptographical applications can often
|
|
* be configured by itself to clear memory,
|
|
* rendering the clearing in tommath unnecessary.
|
|
* See for example https://github.com/GrapheneOS/hardened_malloc
|
|
* and the option CONFIG_ZERO_ON_FREE.
|
|
*
|
|
* Furthermore there are applications which
|
|
* value performance more and want this
|
|
* feature to be disabled. For such applications
|
|
* define MP_NO_ZERO_ON_FREE during compilation.
|
|
*/
|
|
#ifdef MP_NO_ZERO_ON_FREE
|
|
# define MP_FREE_BUF(mem, size) MP_FREE((mem), (size))
|
|
# define MP_FREE_DIGS(mem, digits) MP_FREE((mem), sizeof (mp_digit) * (size_t)(digits))
|
|
#else
|
|
# define MP_FREE_BUF(mem, size) \
|
|
do { \
|
|
size_t fs_ = (size); \
|
|
void* fm_ = (mem); \
|
|
if (fm_ != NULL) { \
|
|
s_mp_zero_buf(fm_, fs_); \
|
|
MP_FREE(fm_, fs_); \
|
|
} \
|
|
} while (0)
|
|
# define MP_FREE_DIGS(mem, digits) \
|
|
do { \
|
|
int fd_ = (digits); \
|
|
mp_digit* fm_ = (mem); \
|
|
if (fm_ != NULL) { \
|
|
s_mp_zero_digs(fm_, fd_); \
|
|
MP_FREE(fm_, sizeof (mp_digit) * (size_t)fd_); \
|
|
} \
|
|
} while (0)
|
|
#endif
|
|
|
|
/* Tunable cutoffs
|
|
* ---------------
|
|
*
|
|
* - In the default settings, a cutoff X can be modified at runtime
|
|
* by adjusting the corresponding X_CUTOFF variable.
|
|
*
|
|
* - Tunability of the library can be disabled at compile time
|
|
* by defining the MP_FIXED_CUTOFFS macro.
|
|
*
|
|
* - There is an additional file tommath_cutoffs.h, which defines
|
|
* the default cutoffs. These can be adjusted manually or by the
|
|
* autotuner.
|
|
*
|
|
*/
|
|
|
|
#ifdef MP_FIXED_CUTOFFS
|
|
# include "tommath_cutoffs.h"
|
|
# define MP_MUL_KARATSUBA_CUTOFF MP_DEFAULT_MUL_KARATSUBA_CUTOFF
|
|
# define MP_SQR_KARATSUBA_CUTOFF MP_DEFAULT_SQR_KARATSUBA_CUTOFF
|
|
# define MP_MUL_TOOM_CUTOFF MP_DEFAULT_MUL_TOOM_CUTOFF
|
|
# define MP_SQR_TOOM_CUTOFF MP_DEFAULT_SQR_TOOM_CUTOFF
|
|
#endif
|
|
|
|
/* define heap macros */
|
|
#ifndef MP_MALLOC
|
|
/* default to libc stuff */
|
|
# include <stdlib.h>
|
|
# define MP_MALLOC(size) malloc(size)
|
|
# define MP_REALLOC(mem, oldsize, newsize) realloc((mem), (newsize))
|
|
# define MP_CALLOC(nmemb, size) calloc((nmemb), (size))
|
|
# define MP_FREE(mem, size) free(mem)
|
|
#else
|
|
/* prototypes for our heap functions */
|
|
extern void *MP_MALLOC(size_t size);
|
|
extern void *MP_REALLOC(void *mem, size_t oldsize, size_t newsize);
|
|
extern void *MP_CALLOC(size_t nmemb, size_t size);
|
|
extern void MP_FREE(void *mem, size_t size);
|
|
#endif
|
|
|
|
/* feature detection macro */
|
|
#ifdef _MSC_VER
|
|
/* Prevent false positive: not enough arguments for function-like macro invocation */
|
|
#pragma warning(disable: 4003)
|
|
#endif
|
|
#define MP_STRINGIZE(x) MP__STRINGIZE(x)
|
|
#define MP__STRINGIZE(x) ""#x""
|
|
#define MP_HAS(x) (sizeof(MP_STRINGIZE(x##_C)) == 1u)
|
|
|
|
#define MP_MIN(x, y) (((x) < (y)) ? (x) : (y))
|
|
#define MP_MAX(x, y) (((x) > (y)) ? (x) : (y))
|
|
|
|
#define MP_TOUPPER(c) ((((c) >= 'a') && ((c) <= 'z')) ? (((c) + 'A') - 'a') : (c))
|
|
|
|
#define MP_EXCH(t, a, b) do { t _c = a; a = b; b = _c; } while (0)
|
|
|
|
#define MP_IS_2EXPT(x) (((x) != 0u) && (((x) & ((x) - 1u)) == 0u))
|
|
|
|
/* Static assertion */
|
|
#define MP_STATIC_ASSERT(msg, cond) typedef char mp_static_assert_##msg[(cond) ? 1 : -1];
|
|
|
|
#define MP_SIZEOF_BITS(type) ((size_t)CHAR_BIT * sizeof(type))
|
|
|
|
#define MP_MAX_COMBA (int)(1uL << (MP_SIZEOF_BITS(mp_word) - (2u * (size_t)MP_DIGIT_BIT)))
|
|
#define MP_WARRAY (int)(1uL << ((MP_SIZEOF_BITS(mp_word) - (2u * (size_t)MP_DIGIT_BIT)) + 1u))
|
|
|
|
#if defined(MP_16BIT)
|
|
typedef uint32_t mp_word;
|
|
#elif defined(MP_64BIT)
|
|
typedef unsigned long mp_word __attribute__((mode(TI)));
|
|
#else
|
|
typedef uint64_t mp_word;
|
|
#endif
|
|
|
|
MP_STATIC_ASSERT(correct_word_size, sizeof(mp_word) == (2u * sizeof(mp_digit)))
|
|
|
|
/* default precision */
|
|
#ifndef MP_PREC
|
|
# ifndef MP_LOW_MEM
|
|
# define MP_PREC 32 /* default digits of precision */
|
|
# else
|
|
# define MP_PREC 8 /* default digits of precision */
|
|
# endif
|
|
#endif
|
|
|
|
/* Minimum number of available digits in mp_int, MP_PREC >= MP_MIN_PREC
|
|
* - Must be at least 3 for s_mp_div_school.
|
|
* - Must be large enough such that uint64_t can be stored in mp_int without growing
|
|
*/
|
|
#define MP_MIN_PREC MP_MAX(3, (((int)MP_SIZEOF_BITS(long long) + MP_DIGIT_BIT) - 1) / MP_DIGIT_BIT)
|
|
MP_STATIC_ASSERT(prec_geq_min_prec, MP_PREC >= MP_MIN_PREC)
|
|
|
|
/* random number source */
|
|
extern MP_PRIVATE mp_err(*s_mp_rand_source)(void *out, size_t size);
|
|
|
|
/* lowlevel functions, do not call! */
|
|
MP_PRIVATE bool s_mp_get_bit(const mp_int *a, int b) MP_WUR;
|
|
MP_PRIVATE mp_digit s_mp_log_d(mp_digit base, mp_digit n) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_div_recursive(const mp_int *a, const mp_int *b, mp_int *q, mp_int *r) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_div_school(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_div_small(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_invmod_odd(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_log(const mp_int *a, uint32_t base, uint32_t *c) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_montgomery_reduce_comba(mp_int *x, const mp_int *n, mp_digit rho) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_mul(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_mul_balance(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_mul_comba(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_mul_high(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_mul_high_comba(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_mul_karatsuba(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_mul_toom(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_prime_is_divisible(const mp_int *a, bool *result) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_rand_platform(void *p, size_t n) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_sqr(const mp_int *a, mp_int *b) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_sqr_comba(const mp_int *a, mp_int *b) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_sqr_karatsuba(const mp_int *a, mp_int *b) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_sqr_toom(const mp_int *a, mp_int *b) MP_WUR;
|
|
MP_PRIVATE mp_err s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
|
|
MP_PRIVATE uint32_t s_mp_log_pow2(const mp_int *a, uint32_t base) MP_WUR;
|
|
MP_PRIVATE void s_mp_copy_digs(mp_digit *d, const mp_digit *s, int digits);
|
|
MP_PRIVATE void s_mp_zero_buf(void *mem, size_t size);
|
|
MP_PRIVATE void s_mp_zero_digs(mp_digit *d, int digits);
|
|
|
|
/* TODO: jenkins prng is not thread safe as of now */
|
|
MP_PRIVATE mp_err s_mp_rand_jenkins(void *p, size_t n) MP_WUR;
|
|
MP_PRIVATE void s_mp_rand_jenkins_init(uint64_t seed);
|
|
|
|
#define MP_RADIX_MAP_REVERSE_SIZE 80u
|
|
extern MP_PRIVATE const char s_mp_radix_map[];
|
|
extern MP_PRIVATE const uint8_t s_mp_radix_map_reverse[];
|
|
extern MP_PRIVATE const mp_digit s_mp_prime_tab[];
|
|
|
|
/* number of primes */
|
|
#define MP_PRIME_TAB_SIZE 256
|
|
|
|
#define MP_GET_ENDIANNESS(x) \
|
|
do{\
|
|
int16_t n = 0x1; \
|
|
char *p = (char *)&n; \
|
|
x = (p[0] == '\x01') ? MP_LITTLE_ENDIAN : MP_BIG_ENDIAN; \
|
|
} while (0)
|
|
|
|
/* code-generating macros */
|
|
#define MP_SET_UNSIGNED(name, type) \
|
|
void name(mp_int * a, type b) \
|
|
{ \
|
|
int i = 0; \
|
|
while (b != 0u) { \
|
|
a->dp[i++] = ((mp_digit)b & MP_MASK); \
|
|
if (MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) { break; } \
|
|
b >>= ((MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) ? 0 : MP_DIGIT_BIT); \
|
|
} \
|
|
a->used = i; \
|
|
a->sign = MP_ZPOS; \
|
|
s_mp_zero_digs(a->dp + a->used, a->alloc - a->used); \
|
|
}
|
|
|
|
#define MP_SET_SIGNED(name, uname, type, utype) \
|
|
void name(mp_int * a, type b) \
|
|
{ \
|
|
uname(a, (b < 0) ? -(utype)b : (utype)b); \
|
|
if (b < 0) { a->sign = MP_NEG; } \
|
|
}
|
|
|
|
#define MP_INIT_INT(name , set, type) \
|
|
mp_err name(mp_int * a, type b) \
|
|
{ \
|
|
mp_err err; \
|
|
if ((err = mp_init(a)) != MP_OKAY) { \
|
|
return err; \
|
|
} \
|
|
set(a, b); \
|
|
return MP_OKAY; \
|
|
}
|
|
|
|
#define MP_GET_MAG(name, type) \
|
|
type name(const mp_int* a) \
|
|
{ \
|
|
int i = MP_MIN(a->used, (int)((MP_SIZEOF_BITS(type) + MP_DIGIT_BIT - 1) / MP_DIGIT_BIT)); \
|
|
type res = 0u; \
|
|
while (i --> 0) { \
|
|
res <<= ((MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) ? 0 : MP_DIGIT_BIT); \
|
|
res |= (type)a->dp[i]; \
|
|
if (MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) { break; } \
|
|
} \
|
|
return res; \
|
|
}
|
|
|
|
#define MP_GET_SIGNED(name, mag, type, utype) \
|
|
type name(const mp_int* a) \
|
|
{ \
|
|
utype res = mag(a); \
|
|
return mp_isneg(a) ? (type)-res : (type)res; \
|
|
}
|
|
|
|
#endif
|