-
Notifications
You must be signed in to change notification settings - Fork 2
/
lrsgmp.h
302 lines (265 loc) · 12.2 KB
/
lrsgmp.h
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
/* lrsgmp.h (lrs long integer arithmetic library based on gmp */
/* Copyright: David Avis 2000, [email protected] */
/* Version 4.0, April 13, 2000 */
/* Version 4.2, January 20, 2018 */
/* modified to use generic wrappers for everything in lrsgmp.c */
/* This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Suite 500, Boston, MA 02110-1335, USA.
*/
/******************************************************************************/
/* See http://cgm.cs.mcgill.ca/~avis/C/lrs.html for lrs usage instructions */
/******************************************************************************/
/* This package contains the extended precision routines used by lrs
and some other miscellaneous routines. It is based on gmp
and this file is derived from lrsmp.h and lrslong.h
*/
#ifdef PLRS
#include <string>
using namespace std;
#endif
#ifdef GMP
#include "gmp.h"
#elif defined(FLINT)
#include "fmpz.h"
#include "flint.h"
#endif
/***********/
/* defines */
/***********/
/*
this is number of longwords. Increasing this won't cost you that much
since only variables other than the A matrix are allocated this size.
Changing affects running time in small but not very predictable ways.
*/
#define MAX_DIGITS 255L
/*
this is in decimal digits, you pay in memory if you increase this,
unless you override by a line with
digits n
before the begin line of your file.
*/
#define DEFAULT_DIGITS 100L
/* 64 bit machines */
#define MAXD 9223372036854775807L
#define BASE 1000000000L
#define FORMAT "%9.9u"
#define BASE_DIG 9
#define INTSIZE 16L
#define BIT "64bit"
#define MAXINPUT 1000 /*max length of any input rational */
#define POS 1L
#define NEG -1L
#ifndef TRUE
#define TRUE 1L
#endif
#ifndef FALSE
#define FALSE 0L
#endif
#define ONE 1L
#define TWO 2L
#define ZERO 0L
#ifdef MA
#define suf(func) func##_gmp
#else
#define suf(func) func
#endif
#define atoaa suf(atoaa)
#define atomp suf(atomp)
#define comprod suf(comprod)
#define divrat suf(divrat)
#define lcm suf(lcm)
#define linint suf(linint)
#define linrat suf(linrat)
#define lrs_alloc_mp_matrix suf(lrs_alloc_mp_matrix)
#define lrs_alloc_mp_vector suf(lrs_alloc_mp_vector)
#define lrs_clear_mp_matrix suf(lrs_clear_mp_matrix)
#define lrs_clear_mp_vector suf(lrs_clear_mp_vector)
#define lrs_getdigits suf(lrs_getdigits)
#define lrs_mp_init suf(lrs_mp_init)
#define mulrat suf(mulrat)
#define myrandom suf(myrandom)
#define notimpl suf(notimpl)
#define pmp suf(pmp)
#define prat suf(prat)
#define rattodouble suf(rattodouble)
#define readmp suf(readmp)
#define readrat suf(readrat)
#define reduce suf(reduce)
#define reducearray suf(reducearray)
#define reduceint suf(reduceint)
#define storesign suf(storesign)
#define stringcpy suf(stringcpy)
#define xcalloc suf(xcalloc)
/**********************************/
/* MACROS */
/* dependent on mp implementation */
/**********************************/
#ifdef GMP
#define addint(a, b, c) mpz_add((c),(a),(b))
#define changesign(a) mpz_neg((a),(a))
#define copy(a, b) mpz_set(a,b)
#define decint(a, b) mpz_sub((a),(a),(b))
#define divint(a, b, c) mpz_tdiv_qr((c),(a),(a),(b))
#define exactdivint(a, b, c) mpz_divexact((c),(a),(b)) /*known there is no remainder */
#define getfactorial(a, b) mpz_fac_ui( (a), (b))
#define mpcmp(a,b) mpz_cmp((a),(b))
#define mp_greater(a, b) (mpz_cmp((a),(b))>0 ? ONE : ZERO)
#define gcd(a,b) mpz_gcd((a),(a),(b))
#define itomp(in, a) mpz_set_si( (a) , (in) )
#define mptoi(a) mpz_get_si( (a) )
#define mptodouble(a) mpz_get_d ( (a) )
#define mpgetstr(a,b,c) mpz_get_str((a),(b),(c))
#ifndef PLRS
#define mpoutstr(a,b,c) mpz_out_str((a),(b),(c))
#else
#define mpoutstr(a,b,c) \
{\
char *tmp = mpz_get_str(NULL,10,c);\
lrs_printf(lrs_ofp, "%s", tmp);\
free(tmp);\
}
#endif
#define mulint(a, b, c) mpz_mul((c),(a),(b))
#define mului(a, b, c) mpz_mul_ui((a),(b),(c))
#define one(a) (mpz_cmp_si((a),ONE) == 0 ? ONE : ZERO)
#define negative(a) (mpz_sgn(a) < 0 ? ONE : ZERO)
#define normalize(a) (void) 0
#define positive(a) (mpz_sgn(a) > 0 ? ONE : ZERO)
#define sign(a) (mpz_sgn(a) < 0 ? NEG : POS)
#define subint(a, b, c) mpz_sub((c),(a),(b))
#define zero(a) (mpz_sgn(a) == 0 ? ONE : ZERO)
#elif defined(FLINT)
#define addint(a, b, c) fmpz_add((c),(a),(b))
#define changesign(a) fmpz_neg((a),(a))
#define copy(a, b) fmpz_set(a,b)
#define decint(a, b) fmpz_sub((a),(a),(b))
#define divint(a, b, c) fmpz_tdiv_qr((c),(a),(a),(b))
#define exactdivint(a, b, c) fmpz_divexact((c),(a),(b)) /*known there is no remainder */
#define getfactorial(a, b) fmpz_fac_ui( (a), (b))
#define mpcmp(a,b) fmpz_cmp((a),(b))
#define mp_greater(a, b) (fmpz_cmp((a),(b))>0 ? ONE : ZERO)
#define gcd(a,b) fmpz_gcd((a),(a),(b))
#define itomp(in, a) fmpz_set_si( (a) , (in) )
#define mptoi(a) fmpz_get_si( (a) )
#define mptodouble(a) fmpz_get_d ( (a) )
#define mpgetstr(a,b,c) fmpz_get_str((a),(b),(c))
#define mpoutstr(a,b,c) fmpz_fprint((a),(c)) /* had a (b) */
#define mulint(a, b, c) fmpz_mul((c),(a),(b))
#define mului(a, b, c) fmpz_mul_ui((a),(b),(c))
#define one(a) (fmpz_cmp_si((a),ONE) == 0 ? ONE : ZERO)
#define negative(a) (fmpz_sgn(a) < 0 ? ONE : ZERO)
#define normalize(a) (void) 0
#define positive(a) (fmpz_sgn(a) > 0 ? ONE : ZERO)
#define sign(a) (fmpz_sgn(a) < 0 ? NEG : POS)
#define subint(a, b, c) fmpz_sub((c),(a),(b))
#define zero(a) (fmpz_sgn(a) == 0 ? ONE : ZERO)
#endif
/*
* convert between decimal and machine (longword digits). Notice lovely
* implementation of ceiling function :-)
*/
#define DEC2DIG(d) ( (d) % BASE_DIG ? (d)/BASE_DIG+1 : (d)/BASE_DIG)
#define DIG2DEC(d) ((d)*BASE_DIG)
#ifndef OMIT_SIGNALS
#include <signal.h>
#include <stdlib.h> /* labs */
#include <unistd.h>
#define errcheck(s,e) if ((long)(e)==-1L){ perror(s);exit(1);}
#endif
#define CALLOC(n,s) xcalloc(n,s,__LINE__,__FILE__)
/*************/
/* typedefs */
/*************/
#ifdef GMP
typedef mpz_t lrs_mp; /* type lrs_mp holds one long integer */
typedef mpz_t lrs_mp_t; /* for GMP same as lrs_mp for MP *lrs_mp */
typedef mpz_t *lrs_mp_vector;
typedef mpz_t **lrs_mp_matrix;
#elif defined(FLINT)
typedef fmpz_t lrs_mp; /* type lrs_mp holds one long integer */
typedef fmpz_t lrs_mp_t; /* for GMP same as lrs_mp for MP *lrs_mp */
typedef fmpz_t *lrs_mp_vector;
typedef fmpz_t **lrs_mp_matrix;
#endif
/*********************/
/*global variables */
/*********************/
extern long lrs_digits; /* max permitted no. of digits */
extern long lrs_record_digits; /* this is the biggest acheived so far. */
#include <stdio.h>
extern FILE *lrs_ifp; /* input file pointer */
extern FILE *lrs_ofp; /* output file pointer */
/*********************************************************/
/* Initialization and allocation procedures - must use! */
/******************************************************* */
long lrs_mp_init (long dec_digits, FILE * lrs_ifp, FILE * lrs_ofp); /* max number of decimal digits, fps */
#ifdef GMP
#define lrs_alloc_mp(a) (mpz_init (a) )
#define lrs_clear_mp(a) (mpz_clear (a) )
#elif defined(FLINT)
#define lrs_alloc_mp(a) (fmpz_init (a) )
#define lrs_clear_mp(a) (fmpz_clear (a) )
#endif
lrs_mp_vector lrs_alloc_mp_vector (long n); /* allocate lrs_mp_vector for n+1 lrs_mp numbers */
lrs_mp_matrix lrs_alloc_mp_matrix (long m, long n); /* allocate lrs_mp_matrix for m+1 x n+1 lrs_mp */
void lrs_clear_mp_vector (lrs_mp_vector p, long n); /* clear lrs_mp_vector for n+1 lrs_mp numbers */
void lrs_clear_mp_matrix (lrs_mp_matrix p, long m, long n); /* clear m by n lrs_mp_matrix */
/*********************************************************/
/* Core library functions - depend on mp implementation */
/******************************************************* */
void atomp (const char s[], lrs_mp a); /* convert string to lrs_mp integer */
long compare (lrs_mp a, lrs_mp b); /* a ? b and returns -1,0,1 for <,=,> */
void linint (lrs_mp a, long ka, lrs_mp b, long kb); /* compute a*ka+b*kb --> a */
#ifdef PLRS
string spmp (char name[], lrs_mp a); /* print the long precision integer a */
string sprat (char name[], lrs_mp Nt, lrs_mp Dt); /* reduce and print Nt/Dt */
char *cprat(char name[], lrs_mp Nt, lrs_mp Dt); /* C version of prat */
long plrs_readrat (lrs_mp Na, lrs_mp Da, const char * rat); /* take a rational number and convert to lrs_mp */
#endif
void pmp (char name[], lrs_mp a); /* print the long precision integer a */
void prat (char name[], lrs_mp Nt, lrs_mp Dt); /* reduce and print Nt/Dt */
void readmp (lrs_mp a); /* read an integer and convert to lrs_mp */
long readrat (lrs_mp Na, lrs_mp Da); /* read a rational or int and convert to lrs_mp */
void reduce (lrs_mp Na, lrs_mp Da); /* reduces Na Da by gcd(Na,Da) */
void storesign(lrs_mp Na, long sa); /* change sign of Na to sa=POS/NEG */
/*********************************************************/
/* Standard arithmetic & misc. functions */
/* should be independent of mp implementation */
/******************************************************* */
void atoaa (const char in[], char num[], char den[]); /* convert rational string in to num/den strings */
long atos (char s[]); /* convert s to integer */
long comprod (lrs_mp Na, lrs_mp Nb, lrs_mp Nc, lrs_mp Nd); /* +1 if Na*Nb > Nc*Nd,-1 if Na*Nb > Nc*Nd else 0 */
void divrat (lrs_mp Na, lrs_mp Da, lrs_mp Nb, lrs_mp Db, lrs_mp Nc, lrs_mp Dc);
/* computes Nc/Dc = (Na/Da) /( Nb/Db ) and reduce */
void linrat (lrs_mp Na, lrs_mp Da, long ka, lrs_mp Nb, lrs_mp Db, long kb, lrs_mp Nc, lrs_mp Dc);
void lcm (lrs_mp a, lrs_mp b); /* a = least common multiple of a, b; b is saved */
void mulrat (lrs_mp Na, lrs_mp Da, lrs_mp Nb, lrs_mp Db, lrs_mp Nc, lrs_mp Dc);
/* computes Nc/Dc=(Na/Da)*(Nb/Db) and reduce */
long myrandom (long num, long nrange); /* return a random number in range 0..nrange-1 */
void notimpl (char s[]); /* bail out - help! */
void rattodouble (lrs_mp a, lrs_mp b, double *x); /* convert lrs_mp rational to double */
void reduceint (lrs_mp Na, lrs_mp Da); /* divide Na by Da and return it */
void reducearray (lrs_mp_vector p, long n); /* find gcd of p[0]..p[n-1] and divide through by */
void scalerat (lrs_mp Na, lrs_mp Da, long ka); /* scales rational by ka */
/**********************************/
/* Miscellaneous functions */
/******************************** */
void lrs_getdigits (long *a, long *b); /* send digit information to user */
void stringcpy (char *s, char *t); /* copy t to s pointer version */
#ifndef __STDC__
void *calloc ();
void *malloc ();
#endif
void *xcalloc (long n, long s, long l, char *f);
void lrs_default_digits_overflow ();
void lrs_exit(int i);
/* end of lrsgmp.h (vertex enumeration using lexicographic reverse search) */