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