[1] | 1 | /* glpgmp.h (bignum arithmetic) */ |
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| 2 | |
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| 3 | /*********************************************************************** |
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| 4 | * This code is part of GLPK (GNU Linear Programming Kit). |
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| 5 | * |
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| 6 | * Copyright (C) 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, |
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| 7 | * 2009, 2010 Andrew Makhorin, Department for Applied Informatics, |
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| 8 | * Moscow Aviation Institute, Moscow, Russia. All rights reserved. |
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| 9 | * E-mail: <mao@gnu.org>. |
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| 10 | * |
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| 11 | * GLPK is free software: you can redistribute it and/or modify it |
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| 12 | * under the terms of the GNU General Public License as published by |
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| 13 | * the Free Software Foundation, either version 3 of the License, or |
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| 14 | * (at your option) any later version. |
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| 15 | * |
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| 16 | * GLPK is distributed in the hope that it will be useful, but WITHOUT |
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| 17 | * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
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| 18 | * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
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| 19 | * License for more details. |
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| 20 | * |
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| 21 | * You should have received a copy of the GNU General Public License |
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| 22 | * along with GLPK. If not, see <http://www.gnu.org/licenses/>. |
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| 23 | ***********************************************************************/ |
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| 24 | |
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| 25 | #ifndef GLPGMP_H |
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| 26 | #define GLPGMP_H |
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| 27 | |
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| 28 | #ifdef HAVE_CONFIG_H |
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| 29 | #include <config.h> |
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| 30 | #endif |
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| 31 | |
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| 32 | #ifdef HAVE_GMP /* use GNU MP bignum library */ |
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| 33 | |
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| 34 | #include <gmp.h> |
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| 35 | |
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| 36 | #define gmp_pool_count _glp_gmp_pool_count |
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| 37 | #define gmp_free_mem _glp_gmp_free_mem |
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| 38 | |
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| 39 | int gmp_pool_count(void); |
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| 40 | void gmp_free_mem(void); |
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| 41 | |
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| 42 | #else /* use GLPK bignum module */ |
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| 43 | |
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| 44 | /*---------------------------------------------------------------------- |
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| 45 | // INTEGER NUMBERS |
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| 46 | // |
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| 47 | // Depending on its magnitude an integer number of arbitrary precision |
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| 48 | // is represented either in short format or in long format. |
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| 49 | // |
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| 50 | // Short format corresponds to the int type and allows representing |
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| 51 | // integer numbers in the range [-(2^31-1), +(2^31-1)]. Note that for |
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| 52 | // the most negative number of int type the short format is not used. |
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| 53 | // |
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| 54 | // In long format integer numbers are represented using the positional |
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| 55 | // system with the base (radix) 2^16 = 65536: |
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| 56 | // |
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| 57 | // x = (-1)^s sum{j in 0..n-1} d[j] * 65536^j, |
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| 58 | // |
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| 59 | // where x is the integer to be represented, s is its sign (+1 or -1), |
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| 60 | // d[j] are its digits (0 <= d[j] <= 65535). |
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| 61 | // |
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| 62 | // RATIONAL NUMBERS |
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| 63 | // |
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| 64 | // A rational number is represented as an irreducible fraction: |
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| 65 | // |
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| 66 | // p / q, |
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| 67 | // |
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| 68 | // where p (numerator) and q (denominator) are integer numbers (q > 0) |
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| 69 | // having no common divisors. */ |
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| 70 | |
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| 71 | struct mpz |
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| 72 | { /* integer number */ |
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| 73 | int val; |
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| 74 | /* if ptr is a null pointer, the number is in short format, and |
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| 75 | val is its value; otherwise, the number is in long format, and |
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| 76 | val is its sign (+1 or -1) */ |
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| 77 | struct mpz_seg *ptr; |
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| 78 | /* pointer to the linked list of the number segments ordered in |
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| 79 | ascending of powers of the base */ |
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| 80 | }; |
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| 81 | |
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| 82 | struct mpz_seg |
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| 83 | { /* integer number segment */ |
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| 84 | unsigned short d[6]; |
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| 85 | /* six digits of the number ordered in ascending of powers of the |
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| 86 | base */ |
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| 87 | struct mpz_seg *next; |
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| 88 | /* pointer to the next number segment */ |
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| 89 | }; |
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| 90 | |
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| 91 | struct mpq |
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| 92 | { /* rational number (p / q) */ |
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| 93 | struct mpz p; |
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| 94 | /* numerator */ |
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| 95 | struct mpz q; |
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| 96 | /* denominator */ |
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| 97 | }; |
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| 98 | |
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| 99 | typedef struct mpz *mpz_t; |
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| 100 | typedef struct mpq *mpq_t; |
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| 101 | |
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| 102 | #define gmp_get_atom _glp_gmp_get_atom |
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| 103 | #define gmp_free_atom _glp_gmp_free_atom |
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| 104 | #define gmp_pool_count _glp_gmp_pool_count |
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| 105 | #define gmp_get_work _glp_gmp_get_work |
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| 106 | #define gmp_free_mem _glp_gmp_free_mem |
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| 107 | |
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| 108 | #define _mpz_init _glp_mpz_init |
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| 109 | #define mpz_clear _glp_mpz_clear |
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| 110 | #define mpz_set _glp_mpz_set |
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| 111 | #define mpz_set_si _glp_mpz_set_si |
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| 112 | #define mpz_get_d _glp_mpz_get_d |
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| 113 | #define mpz_get_d_2exp _glp_mpz_get_d_2exp |
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| 114 | #define mpz_swap _glp_mpz_swap |
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| 115 | #define mpz_add _glp_mpz_add |
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| 116 | #define mpz_sub _glp_mpz_sub |
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| 117 | #define mpz_mul _glp_mpz_mul |
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| 118 | #define mpz_neg _glp_mpz_neg |
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| 119 | #define mpz_abs _glp_mpz_abs |
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| 120 | #define mpz_div _glp_mpz_div |
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| 121 | #define mpz_gcd _glp_mpz_gcd |
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| 122 | #define mpz_cmp _glp_mpz_cmp |
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| 123 | #define mpz_sgn _glp_mpz_sgn |
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| 124 | #define mpz_out_str _glp_mpz_out_str |
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| 125 | |
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| 126 | #define _mpq_init _glp_mpq_init |
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| 127 | #define mpq_clear _glp_mpq_clear |
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| 128 | #define mpq_canonicalize _glp_mpq_canonicalize |
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| 129 | #define mpq_set _glp_mpq_set |
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| 130 | #define mpq_set_si _glp_mpq_set_si |
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| 131 | #define mpq_get_d _glp_mpq_get_d |
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| 132 | #define mpq_set_d _glp_mpq_set_d |
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| 133 | #define mpq_add _glp_mpq_add |
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| 134 | #define mpq_sub _glp_mpq_sub |
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| 135 | #define mpq_mul _glp_mpq_mul |
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| 136 | #define mpq_div _glp_mpq_div |
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| 137 | #define mpq_neg _glp_mpq_neg |
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| 138 | #define mpq_abs _glp_mpq_abs |
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| 139 | #define mpq_cmp _glp_mpq_cmp |
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| 140 | #define mpq_sgn _glp_mpq_sgn |
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| 141 | #define mpq_out_str _glp_mpq_out_str |
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| 142 | |
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| 143 | void *gmp_get_atom(int size); |
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| 144 | void gmp_free_atom(void *ptr, int size); |
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| 145 | int gmp_pool_count(void); |
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| 146 | unsigned short *gmp_get_work(int size); |
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| 147 | void gmp_free_mem(void); |
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| 148 | |
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| 149 | mpz_t _mpz_init(void); |
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| 150 | #define mpz_init(x) (void)((x) = _mpz_init()) |
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| 151 | void mpz_clear(mpz_t x); |
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| 152 | void mpz_set(mpz_t z, mpz_t x); |
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| 153 | void mpz_set_si(mpz_t x, int val); |
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| 154 | double mpz_get_d(mpz_t x); |
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| 155 | double mpz_get_d_2exp(int *exp, mpz_t x); |
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| 156 | void mpz_swap(mpz_t x, mpz_t y); |
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| 157 | void mpz_add(mpz_t, mpz_t, mpz_t); |
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| 158 | void mpz_sub(mpz_t, mpz_t, mpz_t); |
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| 159 | void mpz_mul(mpz_t, mpz_t, mpz_t); |
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| 160 | void mpz_neg(mpz_t z, mpz_t x); |
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| 161 | void mpz_abs(mpz_t z, mpz_t x); |
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| 162 | void mpz_div(mpz_t q, mpz_t r, mpz_t x, mpz_t y); |
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| 163 | void mpz_gcd(mpz_t z, mpz_t x, mpz_t y); |
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| 164 | int mpz_cmp(mpz_t x, mpz_t y); |
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| 165 | int mpz_sgn(mpz_t x); |
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| 166 | int mpz_out_str(void *fp, int base, mpz_t x); |
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| 167 | |
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| 168 | mpq_t _mpq_init(void); |
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| 169 | #define mpq_init(x) (void)((x) = _mpq_init()) |
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| 170 | void mpq_clear(mpq_t x); |
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| 171 | void mpq_canonicalize(mpq_t x); |
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| 172 | void mpq_set(mpq_t z, mpq_t x); |
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| 173 | void mpq_set_si(mpq_t x, int p, unsigned int q); |
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| 174 | double mpq_get_d(mpq_t x); |
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| 175 | void mpq_set_d(mpq_t x, double val); |
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| 176 | void mpq_add(mpq_t z, mpq_t x, mpq_t y); |
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| 177 | void mpq_sub(mpq_t z, mpq_t x, mpq_t y); |
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| 178 | void mpq_mul(mpq_t z, mpq_t x, mpq_t y); |
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| 179 | void mpq_div(mpq_t z, mpq_t x, mpq_t y); |
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| 180 | void mpq_neg(mpq_t z, mpq_t x); |
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| 181 | void mpq_abs(mpq_t z, mpq_t x); |
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| 182 | int mpq_cmp(mpq_t x, mpq_t y); |
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| 183 | int mpq_sgn(mpq_t x); |
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| 184 | int mpq_out_str(void *fp, int base, mpq_t x); |
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| 185 | |
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| 186 | #endif |
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| 187 | |
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| 188 | #endif |
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| 189 | |
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| 190 | /* eof */ |
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