289 lines
13 KiB
C
289 lines
13 KiB
C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
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/* SPDX-License-Identifier: Unlicense */
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#ifndef TOMMATH_PRIV_H_
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#define TOMMATH_PRIV_H_
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#include "tommath.h"
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#include "tommath_class.h"
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#include <limits.h>
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/*
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* Private symbols
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* ---------------
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*
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* On Unix symbols can be marked as hidden if libtommath is compiled
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* as a shared object. By default, symbols are visible.
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* On Win32 a .def file must be used to specify the exported symbols.
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*/
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#if defined(__GNUC__) && __GNUC__ >= 4 && !defined(_WIN32)
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# define MP_PRIVATE __attribute__ ((visibility ("hidden")))
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#else
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# define MP_PRIVATE
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#endif
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/* Hardening libtommath
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* --------------------
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*
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* By default memory is zeroed before calling
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* MP_FREE to avoid leaking data. This is good
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* practice in cryptographical applications.
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*
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* Note however that memory allocators used
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* in cryptographical applications can often
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* be configured by itself to clear memory,
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* rendering the clearing in tommath unnecessary.
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* See for example https://github.com/GrapheneOS/hardened_malloc
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* and the option CONFIG_ZERO_ON_FREE.
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*
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* Furthermore there are applications which
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* value performance more and want this
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* feature to be disabled. For such applications
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* define MP_NO_ZERO_ON_FREE during compilation.
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*/
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#ifdef MP_NO_ZERO_ON_FREE
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# define MP_FREE_BUFFER(mem, size) MP_FREE((mem), (size))
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# define MP_FREE_DIGITS(mem, digits) MP_FREE((mem), sizeof (mp_digit) * (size_t)(digits))
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#else
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# define MP_FREE_BUFFER(mem, size) \
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do { \
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size_t fs_ = (size); \
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void* fm_ = (mem); \
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if (fm_ != NULL) { \
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MP_ZERO_BUFFER(fm_, fs_); \
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MP_FREE(fm_, fs_); \
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} \
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} while (0)
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# define MP_FREE_DIGITS(mem, digits) \
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do { \
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int fd_ = (digits); \
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void* fm_ = (mem); \
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if (fm_ != NULL) { \
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size_t fs_ = sizeof (mp_digit) * (size_t)fd_; \
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MP_ZERO_BUFFER(fm_, fs_); \
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MP_FREE(fm_, fs_); \
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} \
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} while (0)
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#endif
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#ifdef MP_USE_MEMSET
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# include <string.h>
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# define MP_ZERO_BUFFER(mem, size) memset((mem), 0, (size))
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# define MP_ZERO_DIGITS(mem, digits) \
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do { \
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int zd_ = (digits); \
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if (zd_ > 0) { \
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memset((mem), 0, sizeof(mp_digit) * (size_t)zd_); \
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} \
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} while (0)
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#else
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# define MP_ZERO_BUFFER(mem, size) \
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do { \
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size_t zs_ = (size); \
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char* zm_ = (char*)(mem); \
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while (zs_-- > 0u) { \
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*zm_++ = '\0'; \
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} \
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} while (0)
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# define MP_ZERO_DIGITS(mem, digits) \
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do { \
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int zd_ = (digits); \
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mp_digit* zm_ = (mem); \
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while (zd_-- > 0) { \
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*zm_++ = 0; \
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} \
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} while (0)
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#endif
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/* Tunable cutoffs
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* ---------------
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*
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* - In the default settings, a cutoff X can be modified at runtime
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* by adjusting the corresponding X_CUTOFF variable.
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*
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* - Tunability of the library can be disabled at compile time
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* by defining the MP_FIXED_CUTOFFS macro.
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*
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* - There is an additional file tommath_cutoffs.h, which defines
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* the default cutoffs. These can be adjusted manually or by the
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* autotuner.
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*
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*/
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#ifdef MP_FIXED_CUTOFFS
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# include "tommath_cutoffs.h"
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# define MP_KARATSUBA_MUL_CUTOFF MP_DEFAULT_KARATSUBA_MUL_CUTOFF
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# define MP_KARATSUBA_SQR_CUTOFF MP_DEFAULT_KARATSUBA_SQR_CUTOFF
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# define MP_TOOM_MUL_CUTOFF MP_DEFAULT_TOOM_MUL_CUTOFF
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# define MP_TOOM_SQR_CUTOFF MP_DEFAULT_TOOM_SQR_CUTOFF
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#else
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# define MP_KARATSUBA_MUL_CUTOFF KARATSUBA_MUL_CUTOFF
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# define MP_KARATSUBA_SQR_CUTOFF KARATSUBA_SQR_CUTOFF
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# define MP_TOOM_MUL_CUTOFF TOOM_MUL_CUTOFF
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# define MP_TOOM_SQR_CUTOFF TOOM_SQR_CUTOFF
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#endif
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/* define heap macros */
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#ifndef MP_MALLOC
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/* default to libc stuff */
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# include <stdlib.h>
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# define MP_MALLOC(size) malloc(size)
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# define MP_REALLOC(mem, oldsize, newsize) realloc((mem), (newsize))
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# define MP_CALLOC(nmemb, size) calloc((nmemb), (size))
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# define MP_FREE(mem, size) free(mem)
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#else
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/* prototypes for our heap functions */
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extern void *MP_MALLOC(size_t size);
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extern void *MP_REALLOC(void *mem, size_t oldsize, size_t newsize);
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extern void *MP_CALLOC(size_t nmemb, size_t size);
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extern void MP_FREE(void *mem, size_t size);
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#endif
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/* feature detection macro */
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#define MP_STRINGIZE(x) MP__STRINGIZE(x)
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#define MP__STRINGIZE(x) ""#x""
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#define MP_HAS(x) (sizeof(MP_STRINGIZE(BN_##x##_C)) == 1u)
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/* TODO: Remove private_mp_word as soon as deprecated mp_word is removed from tommath. */
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typedef private_mp_word mp_word;
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#define MP_MIN(x, y) (((x) < (y)) ? (x) : (y))
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#define MP_MAX(x, y) (((x) > (y)) ? (x) : (y))
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/* Static assertion */
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#define MP_STATIC_ASSERT(msg, cond) typedef char mp_static_assert_##msg[(cond) ? 1 : -1];
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/* ---> Basic Manipulations <--- */
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#define MP_IS_ZERO(a) ((a)->used == 0)
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#define MP_IS_EVEN(a) (((a)->used == 0) || (((a)->dp[0] & 1u) == 0u))
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#define MP_IS_ODD(a) (((a)->used > 0) && (((a)->dp[0] & 1u) == 1u))
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#define MP_SIZEOF_BITS(type) ((size_t)CHAR_BIT * sizeof(type))
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#define MP_MAXFAST (int)(1uL << (MP_SIZEOF_BITS(mp_word) - (2u * (size_t)MP_DIGIT_BIT)))
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#define MP_WARRAY (1 << ((MP_SIZEOF_BITS(mp_word) - (2 * MP_DIGIT_BIT)) + 1))
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/* default precision */
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#ifndef MP_PREC
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# ifndef MP_LOW_MEM
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# define MP_PREC 32 /* default digits of precision */
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# elif defined(MP_8BIT)
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# define MP_PREC 16 /* default digits of precision */
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# else
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# define MP_PREC 8 /* default digits of precision */
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# endif
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#endif
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/* Minimum number of available digits in mp_int, MP_PREC >= MP_MIN_PREC */
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#define MP_MIN_PREC ((((int)MP_SIZEOF_BITS(long long) + MP_DIGIT_BIT) - 1) / MP_DIGIT_BIT)
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MP_STATIC_ASSERT(prec_geq_min_prec, MP_PREC >= MP_MIN_PREC)
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/* random number source */
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extern MP_PRIVATE mp_err(*s_mp_rand_source)(void *out, size_t size);
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/* lowlevel functions, do not call! */
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MP_PRIVATE mp_bool s_mp_get_bit(const mp_int *a, unsigned int b);
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MP_PRIVATE mp_err s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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MP_PRIVATE mp_err s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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MP_PRIVATE mp_err s_mp_mul_digs_fast(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
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MP_PRIVATE mp_err s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
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MP_PRIVATE mp_err s_mp_mul_high_digs_fast(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
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MP_PRIVATE mp_err s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
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MP_PRIVATE mp_err s_mp_sqr_fast(const mp_int *a, mp_int *b) MP_WUR;
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MP_PRIVATE mp_err s_mp_sqr(const mp_int *a, mp_int *b) MP_WUR;
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MP_PRIVATE mp_err s_mp_balance_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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MP_PRIVATE mp_err s_mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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MP_PRIVATE mp_err s_mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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MP_PRIVATE mp_err s_mp_karatsuba_sqr(const mp_int *a, mp_int *b) MP_WUR;
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MP_PRIVATE mp_err s_mp_toom_sqr(const mp_int *a, mp_int *b) MP_WUR;
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MP_PRIVATE mp_err s_mp_invmod_fast(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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MP_PRIVATE mp_err s_mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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MP_PRIVATE mp_err s_mp_montgomery_reduce_fast(mp_int *x, const mp_int *n, mp_digit rho) MP_WUR;
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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;
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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;
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MP_PRIVATE mp_err s_mp_rand_platform(void *p, size_t n) MP_WUR;
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typedef int mp_prime_callback(unsigned char *dst, int len, void *dat);
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MP_PRIVATE mp_err s_mp_prime_random_ex(mp_int *a, int t, int size, int flags, mp_prime_callback cb, void *dat);
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MP_PRIVATE void s_mp_reverse(unsigned char *s, size_t len);
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MP_PRIVATE mp_err s_mp_prime_is_divisible(const mp_int *a, mp_bool *result);
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/* TODO: jenkins prng is not thread safe as of now */
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MP_PRIVATE mp_err s_mp_rand_jenkins(void *p, size_t n) MP_WUR;
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MP_PRIVATE void s_mp_rand_jenkins_init(uint64_t seed);
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#define MP_RMAP_REVERSE_SIZE 88
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extern MP_PRIVATE const char s_mp_rmap[];
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extern MP_PRIVATE const uint8_t s_mp_rmap_reverse[];
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extern MP_PRIVATE const mp_digit s_mp_prime_tab[];
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/* number of primes */
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#ifdef MP_8BIT
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# define MP_PRIME_TAB_SIZE 31
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#else
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# define MP_PRIME_TAB_SIZE 256
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#endif
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#define MP_GET_ENDIANNESS(x) \
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do{\
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int16_t n = 0x1; \
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char *p = (char *)&n; \
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x = (p[0] == '\x01') ? MP_LITTLE_ENDIAN : MP_BIG_ENDIAN; \
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} while (0)
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/* code-generating macros */
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#define MP_SET_UNSIGNED(name, type) \
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void name(mp_int * a, type b) \
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{ \
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int i = 0; \
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while (b != 0u) { \
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a->dp[i++] = ((mp_digit)b & MP_MASK); \
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if (MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) { break; } \
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b >>= ((MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) ? 0 : MP_DIGIT_BIT); \
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} \
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a->used = i; \
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a->sign = MP_ZPOS; \
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MP_ZERO_DIGITS(a->dp + a->used, a->alloc - a->used); \
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}
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#define MP_SET_SIGNED(name, uname, type, utype) \
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void name(mp_int * a, type b) \
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{ \
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uname(a, (b < 0) ? -(utype)b : (utype)b); \
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if (b < 0) { a->sign = MP_NEG; } \
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}
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#define MP_INIT_INT(name , set, type) \
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mp_err name(mp_int * a, type b) \
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{ \
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mp_err err; \
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if ((err = mp_init(a)) != MP_OKAY) { \
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return err; \
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} \
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set(a, b); \
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return MP_OKAY; \
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}
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#define MP_GET_MAG(name, type) \
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type name(const mp_int* a) \
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{ \
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unsigned i = MP_MIN((unsigned)a->used, (unsigned)((MP_SIZEOF_BITS(type) + MP_DIGIT_BIT - 1) / MP_DIGIT_BIT)); \
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type res = 0u; \
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while (i --> 0u) { \
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res <<= ((MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) ? 0 : MP_DIGIT_BIT); \
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res |= (type)a->dp[i]; \
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if (MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) { break; } \
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} \
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return res; \
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}
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#define MP_GET_SIGNED(name, mag, type, utype) \
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type name(const mp_int* a) \
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{ \
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utype res = mag(a); \
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return (a->sign == MP_NEG) ? (type)-res : (type)res; \
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}
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#endif
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