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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