/* * ***************************************************************************** * * SPDX-License-Identifier: BSD-2-Clause * * Copyright (c) 2018-2020 Gavin D. Howard and contributors. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, this * list of conditions and the following disclaimer. * * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * ***************************************************************************** * * Definitions for the num type. * */ #ifndef BC_NUM_H #define BC_NUM_H #include #include #include #include #include #include #include #ifndef BC_ENABLE_EXTRA_MATH #define BC_ENABLE_EXTRA_MATH (1) #endif // BC_ENABLE_EXTRA_MATH #define BC_BASE (10) typedef unsigned long ulong; // For some reason, LONG_BIT is not defined in some versions of gcc. // I define it here to the minimum accepted value in the POSIX standard. #ifndef LONG_BIT #define LONG_BIT (32) #endif // LONG_BIT #ifndef BC_LONG_BIT #define BC_LONG_BIT LONG_BIT #endif // BC_LONG_BIT #if BC_LONG_BIT > LONG_BIT #error BC_LONG_BIT cannot be greater than LONG_BIT #endif // BC_LONG_BIT > LONG_BIT #if BC_LONG_BIT >= 64 typedef int_least32_t BcDig; typedef uint64_t BcBigDig; #define BC_NUM_BIGDIG_MAX ((BcBigDig) UINT64_MAX) #define BC_BASE_DIGS (9) #define BC_BASE_POW (1000000000) #define BC_NUM_BIGDIG_C UINT64_C #elif BC_LONG_BIT >= 32 typedef int_least16_t BcDig; typedef uint32_t BcBigDig; #define BC_NUM_BIGDIG_MAX ((BcBigDig) UINT32_MAX) #define BC_BASE_DIGS (4) #define BC_BASE_POW (10000) #define BC_NUM_BIGDIG_C UINT32_C #else #error BC_LONG_BIT must be at least 32 #endif // BC_LONG_BIT >= 64 #define BC_NUM_DEF_SIZE (8) typedef struct BcNum { BcDig *restrict num; size_t rdx; size_t scale; size_t len; size_t cap; bool neg; } BcNum; #if BC_ENABLE_EXTRA_MATH #ifndef BC_ENABLE_RAND #define BC_ENABLE_RAND (1) #endif // BC_ENABLE_RAND #if BC_ENABLE_RAND // Forward declaration struct BcRNG; #endif // BC_ENABLE_RAND #endif // BC_ENABLE_EXTRA_MATH #define BC_NUM_MIN_BASE (BC_NUM_BIGDIG_C(2)) #define BC_NUM_MAX_POSIX_IBASE (BC_NUM_BIGDIG_C(16)) #define BC_NUM_MAX_IBASE (BC_NUM_BIGDIG_C(36)) // This is the max base allowed by bc_num_parseChar(). #define BC_NUM_MAX_LBASE (BC_NUM_BIGDIG_C('Z' + BC_BASE + 1)) #define BC_NUM_PRINT_WIDTH (BC_NUM_BIGDIG_C(69)) #ifndef BC_NUM_KARATSUBA_LEN #define BC_NUM_KARATSUBA_LEN (BC_NUM_BIGDIG_C(32)) #elif BC_NUM_KARATSUBA_LEN < 16 #error BC_NUM_KARATSUBA_LEN must be at least 16. #endif // BC_NUM_KARATSUBA_LEN // A crude, but always big enough, calculation of // the size required for ibase and obase BcNum's. #define BC_NUM_BIGDIG_LOG10 (BC_NUM_DEF_SIZE) #define BC_NUM_NONZERO(n) ((n)->len) #define BC_NUM_ZERO(n) (!BC_NUM_NONZERO(n)) #define BC_NUM_ONE(n) ((n)->len == 1 && (n)->rdx == 0 && (n)->num[0] == 1) #define BC_NUM_NUM_LETTER(c) ((c) - 'A' + BC_BASE) #define BC_NUM_KARATSUBA_ALLOCS (6) #define BC_NUM_ROUND_POW(s) (bc_vm_growSize((s), BC_BASE_DIGS - 1)) #define BC_NUM_RDX(s) (BC_NUM_ROUND_POW(s) / BC_BASE_DIGS) #define BC_NUM_SIZE(n) ((n) * sizeof(BcDig)) #if BC_DEBUG_CODE #define BC_NUM_PRINT(x) fprintf(stderr, "%s = %lu\n", #x, (unsigned long)(x)) #define DUMP_NUM bc_num_dump #else // BC_DEBUG_CODE #undef DUMP_NUM #define DUMP_NUM(x,y) #define BC_NUM_PRINT(x) #endif // BC_DEBUG_CODE typedef void (*BcNumBinaryOp)(BcNum*, BcNum*, BcNum*, size_t); typedef size_t (*BcNumBinaryOpReq)(const BcNum*, const BcNum*, size_t); typedef void (*BcNumDigitOp)(size_t, size_t, bool); typedef void (*BcNumShiftAddOp)(BcDig*, const BcDig*, size_t); void bc_num_init(BcNum *restrict n, size_t req); void bc_num_setup(BcNum *restrict n, BcDig *restrict num, size_t cap); void bc_num_copy(BcNum *d, const BcNum *s); void bc_num_createCopy(BcNum *d, const BcNum *s); void bc_num_createFromBigdig(BcNum *n, BcBigDig val); void bc_num_clear(BcNum *restrict n); void bc_num_free(void *num); size_t bc_num_scale(const BcNum *restrict n); size_t bc_num_len(const BcNum *restrict n); void bc_num_bigdig(const BcNum *restrict n, BcBigDig *result); void bc_num_bigdig2(const BcNum *restrict n, BcBigDig *result); void bc_num_bigdig2num(BcNum *restrict n, BcBigDig val); #if BC_ENABLE_EXTRA_MATH && BC_ENABLE_RAND void bc_num_irand(const BcNum *restrict a, BcNum *restrict b, struct BcRNG *restrict rng); void bc_num_rng(const BcNum *restrict n, struct BcRNG *rng); void bc_num_createFromRNG(BcNum *restrict n, struct BcRNG *rng); #endif // BC_ENABLE_EXTRA_MATH && BC_ENABLE_RAND void bc_num_add(BcNum *a, BcNum *b, BcNum *c, size_t scale); void bc_num_sub(BcNum *a, BcNum *b, BcNum *c, size_t scale); void bc_num_mul(BcNum *a, BcNum *b, BcNum *c, size_t scale); void bc_num_div(BcNum *a, BcNum *b, BcNum *c, size_t scale); void bc_num_mod(BcNum *a, BcNum *b, BcNum *c, size_t scale); void bc_num_pow(BcNum *a, BcNum *b, BcNum *c, size_t scale); #if BC_ENABLE_EXTRA_MATH void bc_num_places(BcNum *a, BcNum *b, BcNum *c, size_t scale); void bc_num_lshift(BcNum *a, BcNum *b, BcNum *c, size_t scale); void bc_num_rshift(BcNum *a, BcNum *b, BcNum *c, size_t scale); #endif // BC_ENABLE_EXTRA_MATH void bc_num_sqrt(BcNum *restrict a, BcNum *restrict b, size_t scale); void bc_num_divmod(BcNum *a, BcNum *b, BcNum *c, BcNum *d, size_t scale); size_t bc_num_addReq(const BcNum* a, const BcNum* b, size_t scale); size_t bc_num_mulReq(const BcNum *a, const BcNum *b, size_t scale); size_t bc_num_powReq(const BcNum *a, const BcNum *b, size_t scale); #if BC_ENABLE_EXTRA_MATH size_t bc_num_placesReq(const BcNum *a, const BcNum *b, size_t scale); #endif // BC_ENABLE_EXTRA_MATH void bc_num_truncate(BcNum *restrict n, size_t places); ssize_t bc_num_cmp(const BcNum *a, const BcNum *b); #if DC_ENABLED void bc_num_modexp(BcNum *a, BcNum *b, BcNum *c, BcNum *restrict d); #endif // DC_ENABLED void bc_num_one(BcNum *restrict n); ssize_t bc_num_cmpZero(const BcNum *n); void bc_num_parse(BcNum *restrict n, const char *restrict val, BcBigDig base, bool letter); void bc_num_print(BcNum *restrict n, BcBigDig base, bool newline); #if DC_ENABLED void bc_num_stream(BcNum *restrict n, BcBigDig base); #endif // DC_ENABLED #if BC_DEBUG_CODE void bc_num_printDebug(const BcNum *n, const char *name, bool emptyline); void bc_num_printDigs(const BcDig* n, size_t len, bool emptyline); void bc_num_printWithDigs(const BcNum *n, const char *name, bool emptyline); void bc_num_dump(const char *varname, const BcNum *n); #endif // BC_DEBUG_CODE extern const char bc_num_hex_digits[]; extern const BcBigDig bc_num_pow10[BC_BASE_DIGS + 1]; extern const BcDig bc_num_bigdigMax[]; extern const size_t bc_num_bigdigMax_size; #endif // BC_NUM_H