diff options
Diffstat (limited to 'circuitpython/py/mpz.h')
-rw-r--r-- | circuitpython/py/mpz.h | 161 |
1 files changed, 161 insertions, 0 deletions
diff --git a/circuitpython/py/mpz.h b/circuitpython/py/mpz.h new file mode 100644 index 0000000..0fdcf52 --- /dev/null +++ b/circuitpython/py/mpz.h @@ -0,0 +1,161 @@ +/* + * This file is part of the MicroPython project, http://micropython.org/ + * + * The MIT License (MIT) + * + * SPDX-FileCopyrightText: Copyright (c) 2013, 2014 Damien P. George + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to deal + * in the Software without restriction, including without limitation the rights + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + * copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN + * THE SOFTWARE. + */ +#ifndef MICROPY_INCLUDED_PY_MPZ_H +#define MICROPY_INCLUDED_PY_MPZ_H + +#include <stdint.h> + +#include "py/mpconfig.h" +#include "py/misc.h" + +// This mpz module implements arbitrary precision integers. +// +// The storage for each digit is defined by mpz_dig_t. The actual number of +// bits in mpz_dig_t that are used is defined by MPZ_DIG_SIZE. The machine must +// also provide a type that is twice as wide as mpz_dig_t, in both signed and +// unsigned versions. +// +// MPZ_DIG_SIZE can be between 4 and 8*sizeof(mpz_dig_t), but it makes most +// sense to have it as large as possible. If MPZ_DIG_SIZE is not already +// defined then it is auto-detected below, depending on the machine. The types +// are then set based on the value of MPZ_DIG_SIZE (although they can be freely +// changed so long as the constraints mentioned above are met). + +#ifndef MPZ_DIG_SIZE + #if defined(__x86_64__) || defined(_WIN64) +// 64-bit machine, using 32-bit storage for digits + #define MPZ_DIG_SIZE (32) + #else +// default: 32-bit machine, using 16-bit storage for digits + #define MPZ_DIG_SIZE (16) + #endif +#endif + +#if MPZ_DIG_SIZE > 16 +#define MPZ_DBL_DIG_SIZE (64) +typedef uint32_t mpz_dig_t; +typedef uint64_t mpz_dbl_dig_t; +typedef int64_t mpz_dbl_dig_signed_t; +#elif MPZ_DIG_SIZE > 8 +#define MPZ_DBL_DIG_SIZE (32) +typedef uint16_t mpz_dig_t; +typedef uint32_t mpz_dbl_dig_t; +typedef int32_t mpz_dbl_dig_signed_t; +#elif MPZ_DIG_SIZE > 4 +#define MPZ_DBL_DIG_SIZE (16) +typedef uint8_t mpz_dig_t; +typedef uint16_t mpz_dbl_dig_t; +typedef int16_t mpz_dbl_dig_signed_t; +#else +#define MPZ_DBL_DIG_SIZE (8) +typedef uint8_t mpz_dig_t; +typedef uint8_t mpz_dbl_dig_t; +typedef int8_t mpz_dbl_dig_signed_t; +#endif + +#ifdef _WIN64 + #ifdef __MINGW32__ + #define MPZ_LONG_1 1LL + #else + #define MPZ_LONG_1 1i64 + #endif +#else + #define MPZ_LONG_1 1L +#endif + +// these define the maximum storage needed to hold an int or long long +#define MPZ_NUM_DIG_FOR_INT ((sizeof(mp_int_t) * 8 + MPZ_DIG_SIZE - 1) / MPZ_DIG_SIZE) +#define MPZ_NUM_DIG_FOR_LL ((sizeof(long long) * 8 + MPZ_DIG_SIZE - 1) / MPZ_DIG_SIZE) + +typedef struct _mpz_t { + // Zero has neg=0, len=0. Negative zero is not allowed. + size_t neg : 1; + size_t fixed_dig : 1; + size_t alloc : (8 * sizeof(size_t) - 2); + size_t len; + mpz_dig_t *dig; +} mpz_t; + +// convenience macro to declare an mpz with a digit array from the stack, initialised by an integer +#define MPZ_CONST_INT(z, val) mpz_t z; mpz_dig_t z##_digits[MPZ_NUM_DIG_FOR_INT]; mpz_init_fixed_from_int(&z, z_digits, MPZ_NUM_DIG_FOR_INT, val); + +void mpz_init_zero(mpz_t *z); +void mpz_init_from_int(mpz_t *z, mp_int_t val); +void mpz_init_fixed_from_int(mpz_t *z, mpz_dig_t *dig, size_t dig_alloc, mp_int_t val); +void mpz_deinit(mpz_t *z); + +void mpz_set(mpz_t *dest, const mpz_t *src); +void mpz_set_from_int(mpz_t *z, mp_int_t src); +void mpz_set_from_ll(mpz_t *z, long long i, bool is_signed); +#if MICROPY_PY_BUILTINS_FLOAT +void mpz_set_from_float(mpz_t *z, mp_float_t src); +#endif +size_t mpz_set_from_str(mpz_t *z, const char *str, size_t len, bool neg, unsigned int base); +void mpz_set_from_bytes(mpz_t *z, bool big_endian, size_t len, const byte *buf); + +static inline bool mpz_is_zero(const mpz_t *z) { + return z->len == 0; +} +static inline bool mpz_is_neg(const mpz_t *z) { + return z->neg != 0; +} +int mpz_cmp(const mpz_t *lhs, const mpz_t *rhs); + +void mpz_abs_inpl(mpz_t *dest, const mpz_t *z); +void mpz_neg_inpl(mpz_t *dest, const mpz_t *z); +void mpz_not_inpl(mpz_t *dest, const mpz_t *z); +void mpz_shl_inpl(mpz_t *dest, const mpz_t *lhs, mp_uint_t rhs); +void mpz_shr_inpl(mpz_t *dest, const mpz_t *lhs, mp_uint_t rhs); +void mpz_add_inpl(mpz_t *dest, const mpz_t *lhs, const mpz_t *rhs); +void mpz_sub_inpl(mpz_t *dest, const mpz_t *lhs, const mpz_t *rhs); +void mpz_mul_inpl(mpz_t *dest, const mpz_t *lhs, const mpz_t *rhs); +void mpz_pow_inpl(mpz_t *dest, const mpz_t *lhs, const mpz_t *rhs); +void mpz_pow3_inpl(mpz_t *dest, const mpz_t *lhs, const mpz_t *rhs, const mpz_t *mod); +void mpz_and_inpl(mpz_t *dest, const mpz_t *lhs, const mpz_t *rhs); +void mpz_or_inpl(mpz_t *dest, const mpz_t *lhs, const mpz_t *rhs); +void mpz_xor_inpl(mpz_t *dest, const mpz_t *lhs, const mpz_t *rhs); +void mpz_divmod_inpl(mpz_t *dest_quo, mpz_t *dest_rem, const mpz_t *lhs, const mpz_t *rhs); + +static inline size_t mpz_max_num_bits(const mpz_t *z) { + return z->len * MPZ_DIG_SIZE; +} +static inline size_t mpz_num_bits(const mpz_t *z) { + if (mpz_is_zero(z)) { + return 0; + } + size_t last_bits = (8 * (sizeof(long) - sizeof(mpz_dig_t))) - __builtin_clzl(z->dig[z->len - 1]); + return z->len * MPZ_DIG_SIZE + last_bits; +} +mp_int_t mpz_hash(const mpz_t *z); +bool mpz_as_int_checked(const mpz_t *z, mp_int_t *value); +bool mpz_as_uint_checked(const mpz_t *z, mp_uint_t *value); +void mpz_as_bytes(const mpz_t *z, bool big_endian, size_t len, byte *buf); +#if MICROPY_PY_BUILTINS_FLOAT +mp_float_t mpz_as_float(const mpz_t *z); +#endif +size_t mpz_as_str_inpl(const mpz_t *z, unsigned int base, const char *prefix, char base_char, char comma, char *str); + +#endif // MICROPY_INCLUDED_PY_MPZ_H |