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mpz.h
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mpz.h
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/*
* This file is part of the MicroPython project, http://micropython.org/
*
* The MIT License (MIT)
*
* 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; // flag, 'dig' buffer cannot be reallocated
size_t alloc : (8 * sizeof(size_t) - 2); // number of entries allocated in 'dig'
size_t len; // number of entries used in 'dig'
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;
}
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);
// Returns true if 'z' fit into 'len' bytes of 'buf' without overflowing, 'buf' is truncated otherwise.
bool mpz_as_bytes(const mpz_t *z, bool big_endian, bool as_signed, 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