149 lines
5.8 KiB
C
149 lines
5.8 KiB
C
/*
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* This file is part of the Micro Python project, http://micropython.org/
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*
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* The MIT License (MIT)
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*
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* 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. Below, the type is auto-detected
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// depending on the machine, but it (and MPZ_DIG_SIZE) can be freely changed so
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// long as the constraints mentioned above are met.
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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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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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#define MPZ_DIG_SIZE (32)
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#else
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// 32-bit machine, using 16-bit storage for digits
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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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#define MPZ_DIG_SIZE (16)
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#endif
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#ifdef _WIN64
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#define MPZ_LONG_1 1i64
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#else
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#define MPZ_LONG_1 1L
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#endif
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#define MPZ_NUM_DIG_FOR_INT (sizeof(mp_int_t) * 8 / MPZ_DIG_SIZE + 1)
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#define MPZ_NUM_DIG_FOR_LL (sizeof(long long) * 8 / MPZ_DIG_SIZE + 1)
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typedef struct _mpz_t {
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mp_uint_t neg : 1;
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mp_uint_t fixed_dig : 1;
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mp_uint_t alloc : 30;
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mp_uint_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, mp_uint_t dig_alloc, mp_int_t val);
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void mpz_deinit(mpz_t *z);
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mpz_t *mpz_zero(void);
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mpz_t *mpz_from_int(mp_int_t i);
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mpz_t *mpz_from_ll(long long i, bool is_signed);
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#if MICROPY_PY_BUILTINS_FLOAT
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mpz_t *mpz_from_float(mp_float_t i);
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#endif
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mpz_t *mpz_from_str(const char *str, mp_uint_t len, bool neg, mp_uint_t base);
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void mpz_free(mpz_t *z);
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mpz_t *mpz_clone(const mpz_t *src);
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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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mp_uint_t mpz_set_from_str(mpz_t *z, const char *str, mp_uint_t len, bool neg, mp_uint_t base);
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bool mpz_is_zero(const mpz_t *z);
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bool mpz_is_pos(const mpz_t *z);
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bool mpz_is_neg(const mpz_t *z);
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bool mpz_is_odd(const mpz_t *z);
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bool mpz_is_even(const mpz_t *z);
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int mpz_cmp(const mpz_t *lhs, const mpz_t *rhs);
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mpz_t *mpz_abs(const mpz_t *z);
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mpz_t *mpz_neg(const mpz_t *z);
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mpz_t *mpz_add(const mpz_t *lhs, const mpz_t *rhs);
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mpz_t *mpz_sub(const mpz_t *lhs, const mpz_t *rhs);
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mpz_t *mpz_mul(const mpz_t *lhs, const mpz_t *rhs);
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mpz_t *mpz_pow(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_int_t rhs);
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void mpz_shr_inpl(mpz_t *dest, const mpz_t *lhs, mp_int_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_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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mpz_t *mpz_gcd(const mpz_t *z1, const mpz_t *z2);
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mpz_t *mpz_lcm(const mpz_t *z1, const mpz_t *z2);
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void mpz_divmod(const mpz_t *lhs, const mpz_t *rhs, mpz_t **quo, mpz_t **rem);
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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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mpz_t *mpz_div(const mpz_t *lhs, const mpz_t *rhs);
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mpz_t *mpz_mod(const mpz_t *lhs, const mpz_t *rhs);
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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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#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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mp_uint_t mpz_as_str_size(const mpz_t *i, mp_uint_t base, const char *prefix, char comma);
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mp_uint_t mpz_as_str_inpl(const mpz_t *z, mp_uint_t 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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