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libtommath/tommath_class.h
Daniel Mendler 410bf49385
apply a series of simplifications 
* this is the final commit of a series of simplifications,
  containing only the regenerated files and the explanation in the
  commit message

* This is in preparation of the size_t change/a potential representation change to use
  full width as in tfm, if a (partial?) merge with tfm is desired.
  These changes have their own merits however.

* Remove obfuscating tmpx digit pointers (fewer variables, it is more obvious what is
  being manipulated)

* Reduce scope of variables where possible

* Stricter error handling/checking (for example handling in karatsuba
  was broken)

* In some cases the result was written even in the case of an error
  (e.g. s_mp_is_divisible). This will hide bugs, since the user should
  check the return value (enforced by MP_WUR). Furthermore if the user
  accesses the non-initialized result, valgrind will complain for
  example. Global static analysis like coverity will also detect the issue.
  Therefore this improves the status quo.

* Introduce generic, private MP_EXCH macro which can be used to swap values.

* Introduce s_mp_copy_digs/s_mp_zero_digs/s_mp_zero_buf

* Some control flow simplifications, e.g, loops instead of goto

* Renamings of variables/labels for consistency

* Renamings of mul/sqr functions for more consistency, e.g., comba
  instead of fast suffix

* I didn't read through some very complex functions.
  They are so complex, I am too afraid and lazy to touch them.
  Maybe someone resposible wants to simplify them if possible. Hint... Hint...
  - mp_prime_strong_lucas_selfridge.c
  - s_mp_exptmod.c
  - s_mp_exptmod_fast.c
2019-11-04 15:41:33 +01:00

1295 lines
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/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
#if !(defined(LTM1) && defined(LTM2) && defined(LTM3))
#define LTM_INSIDE
#if defined(LTM2)
# define LTM3
#endif
#if defined(LTM1)
# define LTM2
#endif
#define LTM1
#if defined(LTM_ALL)
# define MP_2EXPT_C
# define MP_ABS_C
# define MP_ADD_C
# define MP_ADD_D_C
# define MP_ADDMOD_C
# define MP_AND_C
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_CLEAR_MULTI_C
# define MP_CMP_C
# define MP_CMP_D_C
# define MP_CMP_MAG_C
# define MP_CNT_LSB_C
# define MP_COMPLEMENT_C
# define MP_COPY_C
# define MP_COUNT_BITS_C
# define MP_CUTOFFS_C
# define MP_DIV_C
# define MP_DIV_2_C
# define MP_DIV_2D_C
# define MP_DIV_3_C
# define MP_DIV_D_C
# define MP_DR_IS_MODULUS_C
# define MP_DR_REDUCE_C
# define MP_DR_SETUP_C
# define MP_ERROR_TO_STRING_C
# define MP_EXCH_C
# define MP_EXPT_U32_C
# define MP_EXPTMOD_C
# define MP_EXTEUCLID_C
# define MP_FREAD_C
# define MP_FROM_SBIN_C
# define MP_FROM_UBIN_C
# define MP_FWRITE_C
# define MP_GCD_C
# define MP_GET_DOUBLE_C
# define MP_GET_I32_C
# define MP_GET_I64_C
# define MP_GET_L_C
# define MP_GET_LL_C
# define MP_GET_MAG_U32_C
# define MP_GET_MAG_U64_C
# define MP_GET_MAG_UL_C
# define MP_GET_MAG_ULL_C
# define MP_GROW_C
# define MP_INIT_C
# define MP_INIT_COPY_C
# define MP_INIT_I32_C
# define MP_INIT_I64_C
# define MP_INIT_L_C
# define MP_INIT_LL_C
# define MP_INIT_MULTI_C
# define MP_INIT_SET_C
# define MP_INIT_SIZE_C
# define MP_INIT_U32_C
# define MP_INIT_U64_C
# define MP_INIT_UL_C
# define MP_INIT_ULL_C
# define MP_INVMOD_C
# define MP_IS_SQUARE_C
# define MP_KRONECKER_C
# define MP_LCM_C
# define MP_LOG_U32_C
# define MP_LSHD_C
# define MP_MOD_C
# define MP_MOD_2D_C
# define MP_MONTGOMERY_CALC_NORMALIZATION_C
# define MP_MONTGOMERY_REDUCE_C
# define MP_MONTGOMERY_SETUP_C
# define MP_MUL_C
# define MP_MUL_2_C
# define MP_MUL_2D_C
# define MP_MUL_D_C
# define MP_MULMOD_C
# define MP_NEG_C
# define MP_OR_C
# define MP_PACK_C
# define MP_PACK_COUNT_C
# define MP_PRIME_FERMAT_C
# define MP_PRIME_FROBENIUS_UNDERWOOD_C
# define MP_PRIME_IS_PRIME_C
# define MP_PRIME_MILLER_RABIN_C
# define MP_PRIME_NEXT_PRIME_C
# define MP_PRIME_RABIN_MILLER_TRIALS_C
# define MP_PRIME_RAND_C
# define MP_PRIME_STRONG_LUCAS_SELFRIDGE_C
# define MP_PRIME_TAB_C
# define MP_RADIX_SIZE_C
# define MP_RADIX_SMAP_C
# define MP_RAND_C
# define MP_READ_RADIX_C
# define MP_REDUCE_C
# define MP_REDUCE_2K_C
# define MP_REDUCE_2K_L_C
# define MP_REDUCE_2K_SETUP_C
# define MP_REDUCE_2K_SETUP_L_C
# define MP_REDUCE_IS_2K_C
# define MP_REDUCE_IS_2K_L_C
# define MP_REDUCE_SETUP_C
# define MP_ROOT_U32_C
# define MP_RSHD_C
# define MP_SBIN_SIZE_C
# define MP_SET_C
# define MP_SET_DOUBLE_C
# define MP_SET_I32_C
# define MP_SET_I64_C
# define MP_SET_L_C
# define MP_SET_LL_C
# define MP_SET_U32_C
# define MP_SET_U64_C
# define MP_SET_UL_C
# define MP_SET_ULL_C
# define MP_SHRINK_C
# define MP_SIGNED_RSH_C
# define MP_SQR_C
# define MP_SQRMOD_C
# define MP_SQRT_C
# define MP_SQRTMOD_PRIME_C
# define MP_SUB_C
# define MP_SUB_D_C
# define MP_SUBMOD_C
# define MP_TO_RADIX_C
# define MP_TO_SBIN_C
# define MP_TO_UBIN_C
# define MP_UBIN_SIZE_C
# define MP_UNPACK_C
# define MP_XOR_C
# define MP_ZERO_C
# define S_MP_ADD_C
# define S_MP_COPY_DIGS_C
# define S_MP_DIV_RECURSIVE_C
# define S_MP_DIV_SCHOOL_C
# define S_MP_DIV_SMALL_C
# define S_MP_EXPTMOD_C
# define S_MP_EXPTMOD_FAST_C
# define S_MP_GET_BIT_C
# define S_MP_INVMOD_C
# define S_MP_INVMOD_ODD_C
# define S_MP_LOG_C
# define S_MP_LOG_D_C
# define S_MP_LOG_POW2_C
# define S_MP_MONTGOMERY_REDUCE_COMBA_C
# define S_MP_MUL_C
# define S_MP_MUL_BALANCE_C
# define S_MP_MUL_COMBA_C
# define S_MP_MUL_HIGH_C
# define S_MP_MUL_HIGH_COMBA_C
# define S_MP_MUL_KARATSUBA_C
# define S_MP_MUL_TOOM_C
# define S_MP_PRIME_IS_DIVISIBLE_C
# define S_MP_RAND_JENKINS_C
# define S_MP_RAND_PLATFORM_C
# define S_MP_SQR_C
# define S_MP_SQR_COMBA_C
# define S_MP_SQR_KARATSUBA_C
# define S_MP_SQR_TOOM_C
# define S_MP_SUB_C
# define S_MP_ZERO_BUF_C
# define S_MP_ZERO_DIGS_C
#endif
#endif
#if defined(MP_2EXPT_C)
# define MP_GROW_C
# define MP_ZERO_C
#endif
#if defined(MP_ABS_C)
# define MP_COPY_C
#endif
#if defined(MP_ADD_C)
# define MP_CMP_MAG_C
# define S_MP_ADD_C
# define S_MP_SUB_C
#endif
#if defined(MP_ADD_D_C)
# define MP_CLAMP_C
# define MP_GROW_C
# define MP_SUB_D_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_ADDMOD_C)
# define MP_ADD_C
# define MP_CLEAR_C
# define MP_INIT_C
# define MP_MOD_C
#endif
#if defined(MP_AND_C)
# define MP_CLAMP_C
# define MP_GROW_C
#endif
#if defined(MP_CLAMP_C)
#endif
#if defined(MP_CLEAR_C)
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_CLEAR_MULTI_C)
# define MP_CLEAR_C
#endif
#if defined(MP_CMP_C)
# define MP_CMP_MAG_C
#endif
#if defined(MP_CMP_D_C)
#endif
#if defined(MP_CMP_MAG_C)
#endif
#if defined(MP_CNT_LSB_C)
#endif
#if defined(MP_COMPLEMENT_C)
# define MP_SUB_D_C
#endif
#if defined(MP_COPY_C)
# define MP_GROW_C
# define S_MP_COPY_DIGS_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_COUNT_BITS_C)
#endif
#if defined(MP_CUTOFFS_C)
#endif
#if defined(MP_DIV_C)
# define MP_CMP_MAG_C
# define MP_COPY_C
# define MP_ZERO_C
# define S_MP_DIV_RECURSIVE_C
# define S_MP_DIV_SCHOOL_C
# define S_MP_DIV_SMALL_C
#endif
#if defined(MP_DIV_2_C)
# define MP_CLAMP_C
# define MP_GROW_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_DIV_2D_C)
# define MP_CLAMP_C
# define MP_COPY_C
# define MP_MOD_2D_C
# define MP_RSHD_C
#endif
#if defined(MP_DIV_3_C)
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_EXCH_C
# define MP_INIT_SIZE_C
#endif
#if defined(MP_DIV_D_C)
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_COPY_C
# define MP_DIV_2D_C
# define MP_DIV_3_C
# define MP_EXCH_C
# define MP_INIT_SIZE_C
#endif
#if defined(MP_DR_IS_MODULUS_C)
#endif
#if defined(MP_DR_REDUCE_C)
# define MP_CLAMP_C
# define MP_CMP_MAG_C
# define MP_GROW_C
# define S_MP_SUB_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_DR_SETUP_C)
#endif
#if defined(MP_ERROR_TO_STRING_C)
#endif
#if defined(MP_EXCH_C)
#endif
#if defined(MP_EXPT_U32_C)
# define MP_CLEAR_C
# define MP_INIT_COPY_C
# define MP_MUL_C
# define MP_SET_C
# define MP_SQR_C
#endif
#if defined(MP_EXPTMOD_C)
# define MP_ABS_C
# define MP_CLEAR_MULTI_C
# define MP_DR_IS_MODULUS_C
# define MP_INIT_MULTI_C
# define MP_INVMOD_C
# define MP_REDUCE_IS_2K_C
# define MP_REDUCE_IS_2K_L_C
# define S_MP_EXPTMOD_C
# define S_MP_EXPTMOD_FAST_C
#endif
#if defined(MP_EXTEUCLID_C)
# define MP_CLEAR_MULTI_C
# define MP_COPY_C
# define MP_DIV_C
# define MP_EXCH_C
# define MP_INIT_MULTI_C
# define MP_MUL_C
# define MP_NEG_C
# define MP_SET_C
# define MP_SUB_C
#endif
#if defined(MP_FREAD_C)
# define MP_ADD_D_C
# define MP_MUL_D_C
# define MP_ZERO_C
#endif
#if defined(MP_FROM_SBIN_C)
# define MP_FROM_UBIN_C
#endif
#if defined(MP_FROM_UBIN_C)
# define MP_CLAMP_C
# define MP_GROW_C
# define MP_MUL_2D_C
# define MP_ZERO_C
#endif
#if defined(MP_FWRITE_C)
# define MP_RADIX_SIZE_C
# define MP_TO_RADIX_C
# define S_MP_ZERO_BUF_C
#endif
#if defined(MP_GCD_C)
# define MP_ABS_C
# define MP_CLEAR_C
# define MP_CMP_MAG_C
# define MP_CNT_LSB_C
# define MP_DIV_2D_C
# define MP_EXCH_C
# define MP_INIT_COPY_C
# define MP_MUL_2D_C
# define S_MP_SUB_C
#endif
#if defined(MP_GET_DOUBLE_C)
#endif
#if defined(MP_GET_I32_C)
# define MP_GET_MAG_U32_C
#endif
#if defined(MP_GET_I64_C)
# define MP_GET_MAG_U64_C
#endif
#if defined(MP_GET_L_C)
# define MP_GET_MAG_UL_C
#endif
#if defined(MP_GET_LL_C)
# define MP_GET_MAG_ULL_C
#endif
#if defined(MP_GET_MAG_U32_C)
#endif
#if defined(MP_GET_MAG_U64_C)
#endif
#if defined(MP_GET_MAG_UL_C)
#endif
#if defined(MP_GET_MAG_ULL_C)
#endif
#if defined(MP_GROW_C)
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_INIT_C)
#endif
#if defined(MP_INIT_COPY_C)
# define MP_CLEAR_C
# define MP_COPY_C
# define MP_INIT_SIZE_C
#endif
#if defined(MP_INIT_I32_C)
# define MP_INIT_C
# define MP_SET_I32_C
#endif
#if defined(MP_INIT_I64_C)
# define MP_INIT_C
# define MP_SET_I64_C
#endif
#if defined(MP_INIT_L_C)
# define MP_INIT_C
# define MP_SET_L_C
#endif
#if defined(MP_INIT_LL_C)
# define MP_INIT_C
# define MP_SET_LL_C
#endif
#if defined(MP_INIT_MULTI_C)
# define MP_CLEAR_C
# define MP_INIT_C
#endif
#if defined(MP_INIT_SET_C)
# define MP_INIT_C
# define MP_SET_C
#endif
#if defined(MP_INIT_SIZE_C)
#endif
#if defined(MP_INIT_U32_C)
# define MP_INIT_C
# define MP_SET_U32_C
#endif
#if defined(MP_INIT_U64_C)
# define MP_INIT_C
# define MP_SET_U64_C
#endif
#if defined(MP_INIT_UL_C)
# define MP_INIT_C
# define MP_SET_UL_C
#endif
#if defined(MP_INIT_ULL_C)
# define MP_INIT_C
# define MP_SET_ULL_C
#endif
#if defined(MP_INVMOD_C)
# define MP_CMP_D_C
# define S_MP_INVMOD_C
# define S_MP_INVMOD_ODD_C
#endif
#if defined(MP_IS_SQUARE_C)
# define MP_CLEAR_C
# define MP_CMP_MAG_C
# define MP_DIV_D_C
# define MP_GET_I32_C
# define MP_INIT_U32_C
# define MP_MOD_C
# define MP_SQRT_C
# define MP_SQR_C
#endif
#if defined(MP_KRONECKER_C)
# define MP_CLEAR_C
# define MP_CMP_D_C
# define MP_CNT_LSB_C
# define MP_COPY_C
# define MP_DIV_2D_C
# define MP_INIT_C
# define MP_INIT_COPY_C
# define MP_MOD_C
#endif
#if defined(MP_LCM_C)
# define MP_CLEAR_MULTI_C
# define MP_CMP_MAG_C
# define MP_DIV_C
# define MP_GCD_C
# define MP_INIT_MULTI_C
# define MP_MUL_C
#endif
#if defined(MP_LOG_U32_C)
# define S_MP_LOG_C
# define S_MP_LOG_D_C
# define S_MP_LOG_POW2_C
#endif
#if defined(MP_LSHD_C)
# define MP_GROW_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_MOD_C)
# define MP_ADD_C
# define MP_CLEAR_C
# define MP_DIV_C
# define MP_EXCH_C
# define MP_INIT_SIZE_C
#endif
#if defined(MP_MOD_2D_C)
# define MP_CLAMP_C
# define MP_COPY_C
# define MP_ZERO_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_MONTGOMERY_CALC_NORMALIZATION_C)
# define MP_2EXPT_C
# define MP_CMP_MAG_C
# define MP_COUNT_BITS_C
# define MP_MUL_2_C
# define MP_SET_C
# define S_MP_SUB_C
#endif
#if defined(MP_MONTGOMERY_REDUCE_C)
# define MP_CLAMP_C
# define MP_CMP_MAG_C
# define MP_GROW_C
# define MP_RSHD_C
# define S_MP_MONTGOMERY_REDUCE_COMBA_C
# define S_MP_SUB_C
#endif
#if defined(MP_MONTGOMERY_SETUP_C)
#endif
#if defined(MP_MUL_C)
# define S_MP_MUL_BALANCE_C
# define S_MP_MUL_C
# define S_MP_MUL_COMBA_C
# define S_MP_MUL_KARATSUBA_C
# define S_MP_MUL_TOOM_C
#endif
#if defined(MP_MUL_2_C)
# define MP_GROW_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_MUL_2D_C)
# define MP_CLAMP_C
# define MP_COPY_C
# define MP_GROW_C
# define MP_LSHD_C
#endif
#if defined(MP_MUL_D_C)
# define MP_CLAMP_C
# define MP_GROW_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_MULMOD_C)
# define MP_CLEAR_C
# define MP_INIT_SIZE_C
# define MP_MOD_C
# define MP_MUL_C
#endif
#if defined(MP_NEG_C)
# define MP_COPY_C
#endif
#if defined(MP_OR_C)
# define MP_CLAMP_C
# define MP_GROW_C
#endif
#if defined(MP_PACK_C)
# define MP_CLEAR_C
# define MP_DIV_2D_C
# define MP_INIT_COPY_C
# define MP_PACK_COUNT_C
#endif
#if defined(MP_PACK_COUNT_C)
# define MP_COUNT_BITS_C
#endif
#if defined(MP_PRIME_FERMAT_C)
# define MP_CLEAR_C
# define MP_CMP_C
# define MP_CMP_D_C
# define MP_EXPTMOD_C
# define MP_INIT_C
#endif
#if defined(MP_PRIME_FROBENIUS_UNDERWOOD_C)
# define MP_ADD_C
# define MP_ADD_D_C
# define MP_CLEAR_MULTI_C
# define MP_CMP_C
# define MP_COUNT_BITS_C
# define MP_EXCH_C
# define MP_GCD_C
# define MP_INIT_MULTI_C
# define MP_KRONECKER_C
# define MP_MOD_C
# define MP_MUL_2_C
# define MP_MUL_C
# define MP_MUL_D_C
# define MP_SET_C
# define MP_SET_I32_C
# define MP_SET_U32_C
# define MP_SUB_C
# define S_MP_GET_BIT_C
#endif
#if defined(MP_PRIME_IS_PRIME_C)
# define MP_CLEAR_C
# define MP_CMP_C
# define MP_CMP_D_C
# define MP_COUNT_BITS_C
# define MP_DIV_2D_C
# define MP_INIT_SET_C
# define MP_IS_SQUARE_C
# define MP_PRIME_MILLER_RABIN_C
# define MP_PRIME_STRONG_LUCAS_SELFRIDGE_C
# define MP_RAND_C
# define MP_READ_RADIX_C
# define MP_SET_C
# define S_MP_PRIME_IS_DIVISIBLE_C
#endif
#if defined(MP_PRIME_MILLER_RABIN_C)
# define MP_CLEAR_C
# define MP_CMP_C
# define MP_CMP_D_C
# define MP_CNT_LSB_C
# define MP_DIV_2D_C
# define MP_EXPTMOD_C
# define MP_INIT_C
# define MP_INIT_COPY_C
# define MP_SQRMOD_C
# define MP_SUB_D_C
#endif
#if defined(MP_PRIME_NEXT_PRIME_C)
# define MP_ADD_D_C
# define MP_CLEAR_C
# define MP_CMP_D_C
# define MP_DIV_D_C
# define MP_INIT_C
# define MP_PRIME_IS_PRIME_C
# define MP_SET_C
# define MP_SUB_D_C
#endif
#if defined(MP_PRIME_RABIN_MILLER_TRIALS_C)
#endif
#if defined(MP_PRIME_RAND_C)
# define MP_ADD_D_C
# define MP_DIV_2_C
# define MP_FROM_UBIN_C
# define MP_MUL_2_C
# define MP_PRIME_IS_PRIME_C
# define MP_SUB_D_C
# define S_MP_RAND_SOURCE_C
# define S_MP_ZERO_BUF_C
#endif
#if defined(MP_PRIME_STRONG_LUCAS_SELFRIDGE_C)
# define MP_ADD_C
# define MP_ADD_D_C
# define MP_CLEAR_C
# define MP_CLEAR_MULTI_C
# define MP_CMP_C
# define MP_CMP_D_C
# define MP_CNT_LSB_C
# define MP_COUNT_BITS_C
# define MP_DIV_2D_C
# define MP_DIV_2_C
# define MP_GCD_C
# define MP_INIT_C
# define MP_INIT_MULTI_C
# define MP_KRONECKER_C
# define MP_MOD_C
# define MP_MUL_2_C
# define MP_MUL_C
# define MP_SET_C
# define MP_SET_I32_C
# define MP_SET_U32_C
# define MP_SQR_C
# define MP_SUB_C
# define MP_SUB_D_C
# define S_MP_GET_BIT_C
# define S_MP_MUL_SI_C
#endif
#if defined(MP_PRIME_TAB_C)
#endif
#if defined(MP_RADIX_SIZE_C)
# define MP_LOG_U32_C
#endif
#if defined(MP_RADIX_SMAP_C)
#endif
#if defined(MP_RAND_C)
# define MP_GROW_C
# define MP_RAND_SOURCE_C
# define MP_ZERO_C
# define S_MP_RAND_PLATFORM_C
# define S_MP_RAND_SOURCE_C
#endif
#if defined(MP_READ_RADIX_C)
# define MP_ADD_D_C
# define MP_MUL_D_C
# define MP_ZERO_C
#endif
#if defined(MP_REDUCE_C)
# define MP_ADD_C
# define MP_CLEAR_C
# define MP_CMP_C
# define MP_CMP_D_C
# define MP_INIT_COPY_C
# define MP_LSHD_C
# define MP_MOD_2D_C
# define MP_MUL_C
# define MP_RSHD_C
# define MP_SET_C
# define MP_SUB_C
# define S_MP_MUL_C
# define S_MP_MUL_HIGH_C
# define S_MP_MUL_HIGH_COMBA_C
# define S_MP_SUB_C
#endif
#if defined(MP_REDUCE_2K_C)
# define MP_CLEAR_C
# define MP_CMP_MAG_C
# define MP_COUNT_BITS_C
# define MP_DIV_2D_C
# define MP_INIT_C
# define MP_MUL_D_C
# define S_MP_ADD_C
# define S_MP_SUB_C
#endif
#if defined(MP_REDUCE_2K_L_C)
# define MP_CLEAR_C
# define MP_CMP_MAG_C
# define MP_COUNT_BITS_C
# define MP_DIV_2D_C
# define MP_INIT_C
# define MP_MUL_C
# define S_MP_ADD_C
# define S_MP_SUB_C
#endif
#if defined(MP_REDUCE_2K_SETUP_C)
# define MP_2EXPT_C
# define MP_CLEAR_C
# define MP_COUNT_BITS_C
# define MP_INIT_C
# define S_MP_SUB_C
#endif
#if defined(MP_REDUCE_2K_SETUP_L_C)
# define MP_2EXPT_C
# define MP_CLEAR_C
# define MP_COUNT_BITS_C
# define MP_INIT_C
# define S_MP_SUB_C
#endif
#if defined(MP_REDUCE_IS_2K_C)
# define MP_COUNT_BITS_C
#endif
#if defined(MP_REDUCE_IS_2K_L_C)
#endif
#if defined(MP_REDUCE_SETUP_C)
# define MP_2EXPT_C
# define MP_DIV_C
#endif
#if defined(MP_ROOT_U32_C)
# define MP_2EXPT_C
# define MP_ADD_D_C
# define MP_CLEAR_MULTI_C
# define MP_CMP_C
# define MP_COPY_C
# define MP_COUNT_BITS_C
# define MP_DIV_C
# define MP_EXCH_C
# define MP_EXPT_U32_C
# define MP_INIT_MULTI_C
# define MP_MUL_C
# define MP_MUL_D_C
# define MP_SET_C
# define MP_SUB_C
# define MP_SUB_D_C
#endif
#if defined(MP_RSHD_C)
# define MP_ZERO_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_SBIN_SIZE_C)
# define MP_UBIN_SIZE_C
#endif
#if defined(MP_SET_C)
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_SET_DOUBLE_C)
# define MP_DIV_2D_C
# define MP_MUL_2D_C
# define MP_SET_U64_C
#endif
#if defined(MP_SET_I32_C)
# define MP_SET_U32_C
#endif
#if defined(MP_SET_I64_C)
# define MP_SET_U64_C
#endif
#if defined(MP_SET_L_C)
# define MP_SET_UL_C
#endif
#if defined(MP_SET_LL_C)
# define MP_SET_ULL_C
#endif
#if defined(MP_SET_U32_C)
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_SET_U64_C)
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_SET_UL_C)
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_SET_ULL_C)
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_SHRINK_C)
#endif
#if defined(MP_SIGNED_RSH_C)
# define MP_ADD_D_C
# define MP_DIV_2D_C
# define MP_SUB_D_C
#endif
#if defined(MP_SQR_C)
# define S_MP_SQR_C
# define S_MP_SQR_COMBA_C
# define S_MP_SQR_KARATSUBA_C
# define S_MP_SQR_TOOM_C
#endif
#if defined(MP_SQRMOD_C)
# define MP_CLEAR_C
# define MP_INIT_C
# define MP_MOD_C
# define MP_SQR_C
#endif
#if defined(MP_SQRT_C)
# define MP_ADD_C
# define MP_CLEAR_C
# define MP_CMP_MAG_C
# define MP_DIV_2_C
# define MP_DIV_C
# define MP_EXCH_C
# define MP_INIT_C
# define MP_INIT_COPY_C
# define MP_RSHD_C
# define MP_ZERO_C
#endif
#if defined(MP_SQRTMOD_PRIME_C)
# define MP_ADD_D_C
# define MP_CLEAR_MULTI_C
# define MP_CMP_D_C
# define MP_COPY_C
# define MP_DIV_2_C
# define MP_DIV_D_C
# define MP_EXPTMOD_C
# define MP_INIT_MULTI_C
# define MP_KRONECKER_C
# define MP_MULMOD_C
# define MP_SET_C
# define MP_SQRMOD_C
# define MP_SUB_D_C
# define MP_ZERO_C
#endif
#if defined(MP_SUB_C)
# define MP_CMP_MAG_C
# define S_MP_ADD_C
# define S_MP_SUB_C
#endif
#if defined(MP_SUB_D_C)
# define MP_ADD_D_C
# define MP_CLAMP_C
# define MP_GROW_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(MP_SUBMOD_C)
# define MP_CLEAR_C
# define MP_INIT_C
# define MP_MOD_C
# define MP_SUB_C
#endif
#if defined(MP_TO_RADIX_C)
# define MP_CLEAR_C
# define MP_DIV_D_C
# define MP_INIT_COPY_C
# define S_MP_REVERSE_C
#endif
#if defined(MP_TO_SBIN_C)
# define MP_TO_UBIN_C
#endif
#if defined(MP_TO_UBIN_C)
# define MP_CLEAR_C
# define MP_DIV_2D_C
# define MP_INIT_COPY_C
# define MP_UBIN_SIZE_C
#endif
#if defined(MP_UBIN_SIZE_C)
# define MP_COUNT_BITS_C
#endif
#if defined(MP_UNPACK_C)
# define MP_CLAMP_C
# define MP_MUL_2D_C
# define MP_ZERO_C
#endif
#if defined(MP_XOR_C)
# define MP_CLAMP_C
# define MP_GROW_C
#endif
#if defined(MP_ZERO_C)
# define S_MP_ZERO_DIGS_C
#endif
#if defined(S_MP_ADD_C)
# define MP_CLAMP_C
# define MP_GROW_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(S_MP_COPY_DIGS_C)
#endif
#if defined(S_MP_DIV_RECURSIVE_C)
# define MP_ADD_C
# define MP_CLEAR_MULTI_C
# define MP_CMP_D_C
# define MP_COPY_C
# define MP_DIV_2D_C
# define MP_EXCH_C
# define MP_INIT_MULTI_C
# define MP_LSHD_C
# define MP_MUL_2D_C
# define MP_MUL_C
# define MP_SUB_C
# define MP_SUB_D_C
# define MP_ZERO_C
# define S_MP_DIV_SCHOOL_C
# define S_MP_RECURSION_C
#endif
#if defined(S_MP_DIV_SCHOOL_C)
# define MP_ADD_C
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_CMP_C
# define MP_CMP_MAG_C
# define MP_COPY_C
# define MP_COUNT_BITS_C
# define MP_DIV_2D_C
# define MP_EXCH_C
# define MP_INIT_C
# define MP_INIT_COPY_C
# define MP_INIT_SIZE_C
# define MP_LSHD_C
# define MP_MUL_2D_C
# define MP_MUL_D_C
# define MP_RSHD_C
# define MP_SUB_C
# define MP_ZERO_C
#endif
#if defined(S_MP_DIV_SMALL_C)
# define MP_ABS_C
# define MP_ADD_C
# define MP_CLEAR_MULTI_C
# define MP_CMP_C
# define MP_COUNT_BITS_C
# define MP_DIV_2D_C
# define MP_EXCH_C
# define MP_INIT_MULTI_C
# define MP_MUL_2D_C
# define MP_SET_C
# define MP_SUB_C
#endif
#if defined(S_MP_EXPTMOD_C)
# define MP_CLEAR_C
# define MP_COPY_C
# define MP_COUNT_BITS_C
# define MP_EXCH_C
# define MP_INIT_C
# define MP_MOD_C
# define MP_MUL_C
# define MP_REDUCE_2K_L_C
# define MP_REDUCE_2K_SETUP_L_C
# define MP_REDUCE_C
# define MP_REDUCE_SETUP_C
# define MP_SET_C
# define MP_SQR_C
#endif
#if defined(S_MP_EXPTMOD_FAST_C)
# define MP_CLEAR_C
# define MP_COPY_C
# define MP_COUNT_BITS_C
# define MP_DR_REDUCE_C
# define MP_DR_SETUP_C
# define MP_EXCH_C
# define MP_INIT_SIZE_C
# define MP_MOD_C
# define MP_MONTGOMERY_CALC_NORMALIZATION_C
# define MP_MONTGOMERY_REDUCE_C
# define MP_MONTGOMERY_SETUP_C
# define MP_MULMOD_C
# define MP_MUL_C
# define MP_REDUCE_2K_C
# define MP_REDUCE_2K_SETUP_C
# define MP_SET_C
# define MP_SQR_C
# define S_MP_MONTGOMERY_REDUCE_COMBA_C
#endif
#if defined(S_MP_GET_BIT_C)
#endif
#if defined(S_MP_INVMOD_C)
# define MP_ADD_C
# define MP_CLEAR_MULTI_C
# define MP_CMP_C
# define MP_CMP_D_C
# define MP_CMP_MAG_C
# define MP_COPY_C
# define MP_DIV_2_C
# define MP_EXCH_C
# define MP_INIT_MULTI_C
# define MP_MOD_C
# define MP_SET_C
# define MP_SUB_C
#endif
#if defined(S_MP_INVMOD_ODD_C)
# define MP_ADD_C
# define MP_CLEAR_MULTI_C
# define MP_CMP_C
# define MP_CMP_D_C
# define MP_CMP_MAG_C
# define MP_COPY_C
# define MP_DIV_2_C
# define MP_EXCH_C
# define MP_INIT_MULTI_C
# define MP_MOD_C
# define MP_SET_C
# define MP_SUB_C
#endif
#if defined(S_MP_LOG_C)
# define MP_CLEAR_MULTI_C
# define MP_CMP_C
# define MP_CMP_D_C
# define MP_COPY_C
# define MP_EXCH_C
# define MP_EXPT_U32_C
# define MP_INIT_MULTI_C
# define MP_MUL_C
# define MP_SET_C
# define MP_SQR_C
#endif
#if defined(S_MP_LOG_D_C)
#endif
#if defined(S_MP_LOG_POW2_C)
# define MP_COUNT_BITS_C
#endif
#if defined(S_MP_MONTGOMERY_REDUCE_COMBA_C)
# define MP_CLAMP_C
# define MP_CMP_MAG_C
# define MP_GROW_C
# define S_MP_SUB_C
# define S_MP_ZERO_BUF_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(S_MP_MUL_C)
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_EXCH_C
# define MP_INIT_SIZE_C
# define S_MP_MUL_COMBA_C
#endif
#if defined(S_MP_MUL_BALANCE_C)
# define MP_ADD_C
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_CLEAR_MULTI_C
# define MP_EXCH_C
# define MP_INIT_MULTI_C
# define MP_INIT_SIZE_C
# define MP_LSHD_C
# define MP_MUL_C
# define S_MP_COPY_DIGS_C
#endif
#if defined(S_MP_MUL_COMBA_C)
# define MP_CLAMP_C
# define MP_GROW_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(S_MP_MUL_HIGH_C)
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_EXCH_C
# define MP_INIT_SIZE_C
# define S_MP_MUL_HIGH_COMBA_C
#endif
#if defined(S_MP_MUL_HIGH_COMBA_C)
# define MP_CLAMP_C
# define MP_GROW_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(S_MP_MUL_KARATSUBA_C)
# define MP_ADD_C
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_INIT_SIZE_C
# define MP_LSHD_C
# define MP_MUL_C
# define S_MP_ADD_C
# define S_MP_COPY_DIGS_C
# define S_MP_SUB_C
#endif
#if defined(S_MP_MUL_TOOM_C)
# define MP_ADD_C
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_CLEAR_MULTI_C
# define MP_DIV_2_C
# define MP_DIV_3_C
# define MP_INIT_MULTI_C
# define MP_INIT_SIZE_C
# define MP_LSHD_C
# define MP_MUL_2_C
# define MP_MUL_C
# define MP_SUB_C
# define S_MP_COPY_DIGS_C
#endif
#if defined(S_MP_PRIME_IS_DIVISIBLE_C)
# define MP_DIV_D_C
#endif
#if defined(S_MP_RAND_JENKINS_C)
# define S_MP_RAND_JENKINS_INIT_C
#endif
#if defined(S_MP_RAND_PLATFORM_C)
#endif
#if defined(S_MP_SQR_C)
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_EXCH_C
# define MP_INIT_SIZE_C
#endif
#if defined(S_MP_SQR_COMBA_C)
# define MP_CLAMP_C
# define MP_GROW_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(S_MP_SQR_KARATSUBA_C)
# define MP_ADD_C
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_INIT_SIZE_C
# define MP_LSHD_C
# define MP_SQR_C
# define S_MP_ADD_C
# define S_MP_COPY_DIGS_C
# define S_MP_SUB_C
#endif
#if defined(S_MP_SQR_TOOM_C)
# define MP_ADD_C
# define MP_CLAMP_C
# define MP_CLEAR_C
# define MP_DIV_2_C
# define MP_INIT_C
# define MP_INIT_SIZE_C
# define MP_LSHD_C
# define MP_MUL_2_C
# define MP_MUL_C
# define MP_SQR_C
# define MP_SUB_C
# define S_MP_COPY_DIGS_C
#endif
#if defined(S_MP_SUB_C)
# define MP_CLAMP_C
# define MP_GROW_C
# define S_MP_ZERO_DIGS_C
#endif
#if defined(S_MP_ZERO_BUF_C)
#endif
#if defined(S_MP_ZERO_DIGS_C)
#endif
#ifdef LTM_INSIDE
#undef LTM_INSIDE
#ifdef LTM3
# define LTM_LAST
#endif
#include "tommath_superclass.h"
#include "tommath_class.h"
#else
# define LTM_LAST
#endif
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