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