1 | /* emacs edit mode for this file is -*- C++ -*- */ |
---|
2 | |
---|
3 | #include "config.h" |
---|
4 | |
---|
5 | #include "canonicalform.h" |
---|
6 | #include "imm.h" |
---|
7 | #include "int_int.h" |
---|
8 | #include "int_rat.h" |
---|
9 | #include <factory/cf_gmp.h> |
---|
10 | #include "gmpext.h" |
---|
11 | |
---|
12 | #ifdef HAVE_OMALLOC |
---|
13 | const omBin InternalInteger::InternalInteger_bin = omGetSpecBin(sizeof(InternalInteger)); |
---|
14 | #endif |
---|
15 | |
---|
16 | InternalInteger::InternalInteger() |
---|
17 | { |
---|
18 | mpz_init( thempi ); |
---|
19 | } |
---|
20 | |
---|
21 | InternalInteger::InternalInteger( const int i ) |
---|
22 | { |
---|
23 | mpz_init_set_si( thempi, i ); |
---|
24 | } |
---|
25 | |
---|
26 | InternalInteger::InternalInteger( const mpz_ptr mpi) { thempi[0]=*mpi;} |
---|
27 | |
---|
28 | InternalInteger::InternalInteger( const char * str, const int base ) |
---|
29 | { |
---|
30 | mpz_init_set_str( thempi, str, base ); |
---|
31 | } |
---|
32 | |
---|
33 | InternalInteger::~InternalInteger() |
---|
34 | { |
---|
35 | mpz_clear( thempi ); |
---|
36 | } |
---|
37 | |
---|
38 | InternalCF* InternalInteger::deepCopyObject() const |
---|
39 | { |
---|
40 | mpz_t dummy; |
---|
41 | mpz_init_set( dummy, thempi ); |
---|
42 | return new InternalInteger( dummy ); |
---|
43 | } |
---|
44 | |
---|
45 | #ifndef NOSTREAMIO |
---|
46 | void InternalInteger::print( OSTREAM & os, char * c ) |
---|
47 | { |
---|
48 | if ( *c == '*' && mpz_cmp_si( thempi, 1 ) == 0 ) |
---|
49 | os << c+1; |
---|
50 | else if ( *c == '*' && mpz_cmp_si( thempi, -1 ) == 0 ) |
---|
51 | os << '-' << c+1; |
---|
52 | else { |
---|
53 | char * str = new char[mpz_sizeinbase( thempi, 10 ) + 2]; |
---|
54 | str = mpz_get_str( str, 10, thempi ); |
---|
55 | os << str << c; |
---|
56 | delete [] str; |
---|
57 | } |
---|
58 | } |
---|
59 | #endif /* NOSTREAMIO */ |
---|
60 | |
---|
61 | bool InternalInteger::is_imm() const |
---|
62 | { |
---|
63 | return mpz_is_imm( thempi ); |
---|
64 | } |
---|
65 | |
---|
66 | InternalCF* InternalInteger::genZero() |
---|
67 | { |
---|
68 | if ( isZero() ) |
---|
69 | return copyObject(); |
---|
70 | else |
---|
71 | return new InternalInteger(); |
---|
72 | } |
---|
73 | |
---|
74 | InternalCF* InternalInteger::genOne() |
---|
75 | { |
---|
76 | if ( isOne() ) |
---|
77 | return copyObject(); |
---|
78 | else |
---|
79 | return new InternalInteger( 1 ); |
---|
80 | } |
---|
81 | |
---|
82 | //{{{ InternalCF * InternalInteger::neg () |
---|
83 | // docu: see CanonicalForm::operator -() |
---|
84 | InternalCF * |
---|
85 | InternalInteger::neg () |
---|
86 | { |
---|
87 | if ( getRefCount() > 1 ) |
---|
88 | { |
---|
89 | decRefCount(); |
---|
90 | mpz_t dummy; |
---|
91 | mpz_init_set( dummy, thempi ); |
---|
92 | mpz_neg( dummy, dummy ); |
---|
93 | return new InternalInteger( dummy ); |
---|
94 | } |
---|
95 | else |
---|
96 | { |
---|
97 | mpz_neg( thempi, thempi ); |
---|
98 | return this; |
---|
99 | } |
---|
100 | } |
---|
101 | //}}} |
---|
102 | |
---|
103 | |
---|
104 | InternalCF* InternalInteger::addsame( InternalCF * c ) |
---|
105 | { |
---|
106 | if ( getRefCount() > 1 ) |
---|
107 | { |
---|
108 | decRefCount(); |
---|
109 | mpz_t dummy; |
---|
110 | mpz_init( dummy ); |
---|
111 | mpz_add( dummy, thempi, MPI( c ) ); |
---|
112 | if ( mpz_is_imm( dummy ) ) |
---|
113 | { |
---|
114 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
---|
115 | mpz_clear( dummy ); |
---|
116 | return res; |
---|
117 | } |
---|
118 | else |
---|
119 | return new InternalInteger( dummy ); |
---|
120 | } |
---|
121 | else |
---|
122 | { |
---|
123 | mpz_add( thempi, thempi, MPI( c ) ); |
---|
124 | if ( mpz_is_imm( thempi ) ) |
---|
125 | { |
---|
126 | InternalCF * res = int2imm( mpz_get_si( thempi ) ); |
---|
127 | delete this; |
---|
128 | return res; |
---|
129 | } |
---|
130 | else |
---|
131 | return this; |
---|
132 | } |
---|
133 | } |
---|
134 | |
---|
135 | InternalCF* InternalInteger::subsame( InternalCF * c ) |
---|
136 | { |
---|
137 | if ( getRefCount() > 1 ) |
---|
138 | { |
---|
139 | decRefCount(); |
---|
140 | mpz_t dummy; |
---|
141 | mpz_init( dummy ); |
---|
142 | mpz_sub( dummy, thempi, MPI( c ) ); |
---|
143 | if ( mpz_is_imm( dummy ) ) |
---|
144 | { |
---|
145 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
---|
146 | mpz_clear( dummy ); |
---|
147 | return res; |
---|
148 | } |
---|
149 | else |
---|
150 | return new InternalInteger( dummy ); |
---|
151 | } |
---|
152 | else |
---|
153 | { |
---|
154 | mpz_sub( thempi, thempi, MPI( c ) ); |
---|
155 | if ( mpz_is_imm( thempi ) ) |
---|
156 | { |
---|
157 | InternalCF * res = int2imm( mpz_get_si( thempi ) ); |
---|
158 | delete this; |
---|
159 | return res; |
---|
160 | } |
---|
161 | else |
---|
162 | return this; |
---|
163 | } |
---|
164 | } |
---|
165 | |
---|
166 | InternalCF* InternalInteger::mulsame( InternalCF * c ) |
---|
167 | { |
---|
168 | if ( getRefCount() > 1 ) |
---|
169 | { |
---|
170 | decRefCount(); |
---|
171 | mpz_t dummy; |
---|
172 | mpz_init( dummy ); |
---|
173 | mpz_mul( dummy, thempi, MPI( c ) ); |
---|
174 | #if 0 |
---|
175 | if ( mpz_is_imm( dummy ) ) |
---|
176 | { |
---|
177 | // can this happen ??? |
---|
178 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
---|
179 | mpz_clear( dummy ); |
---|
180 | return res; |
---|
181 | } |
---|
182 | else |
---|
183 | #endif |
---|
184 | return new InternalInteger( dummy ); |
---|
185 | } |
---|
186 | else |
---|
187 | { |
---|
188 | mpz_mul( thempi, thempi, MPI( c ) ); |
---|
189 | #if 0 |
---|
190 | if ( mpz_is_imm( &thempi ) ) |
---|
191 | { |
---|
192 | // can this happen ??? |
---|
193 | InternalCF * res = int2imm( mpz_get_si( &thempi ) ); |
---|
194 | delete this; |
---|
195 | return res; |
---|
196 | } |
---|
197 | else |
---|
198 | #endif |
---|
199 | return this; |
---|
200 | } |
---|
201 | } |
---|
202 | |
---|
203 | //{{{ int InternalInteger::comparesame, comparecoeff ( InternalCF * c ) |
---|
204 | // docu: see CanonicalForm::operator <(), CanonicalForm::operator ==() |
---|
205 | int |
---|
206 | InternalInteger::comparesame ( InternalCF * c ) |
---|
207 | { |
---|
208 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, "incompatible base coefficients" ); |
---|
209 | return mpz_cmp( thempi, MPI( c ) ); |
---|
210 | } |
---|
211 | |
---|
212 | int |
---|
213 | InternalInteger::comparecoeff ( InternalCF * c ) |
---|
214 | { |
---|
215 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
---|
216 | return mpz_cmp_si( thempi, imm2int( c ) ); |
---|
217 | } |
---|
218 | //}}} |
---|
219 | |
---|
220 | InternalCF* InternalInteger::addcoeff( InternalCF* c ) |
---|
221 | { |
---|
222 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
---|
223 | int cc = imm2int( c ); |
---|
224 | if ( getRefCount() > 1 ) |
---|
225 | { |
---|
226 | decRefCount(); |
---|
227 | mpz_t dummy; |
---|
228 | mpz_init( dummy ); |
---|
229 | if ( cc < 0 ) |
---|
230 | mpz_sub_ui( dummy, thempi, -cc ); |
---|
231 | else |
---|
232 | mpz_add_ui( dummy, thempi, cc ); |
---|
233 | if ( mpz_is_imm( dummy ) ) |
---|
234 | { |
---|
235 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
---|
236 | mpz_clear( dummy ); |
---|
237 | return res; |
---|
238 | } |
---|
239 | else |
---|
240 | return new InternalInteger( dummy ); |
---|
241 | } |
---|
242 | else |
---|
243 | { |
---|
244 | if ( cc < 0 ) |
---|
245 | mpz_sub_ui( thempi, thempi, -cc ); |
---|
246 | else |
---|
247 | mpz_add_ui( thempi, thempi, cc ); |
---|
248 | if ( mpz_is_imm( thempi ) ) |
---|
249 | { |
---|
250 | InternalCF * res = int2imm( mpz_get_si( thempi ) ); |
---|
251 | delete this; |
---|
252 | return res; |
---|
253 | } |
---|
254 | else |
---|
255 | return this; |
---|
256 | } |
---|
257 | } |
---|
258 | |
---|
259 | InternalCF* InternalInteger::subcoeff( InternalCF* c, bool negate ) |
---|
260 | { |
---|
261 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
---|
262 | int cc = imm2int( c ); |
---|
263 | if ( getRefCount() > 1 ) |
---|
264 | { |
---|
265 | decRefCount(); |
---|
266 | mpz_t dummy; |
---|
267 | if ( negate ) |
---|
268 | { |
---|
269 | mpz_init_set_si( dummy, cc ); |
---|
270 | mpz_sub( dummy, dummy, thempi ); |
---|
271 | } |
---|
272 | else |
---|
273 | { |
---|
274 | mpz_init( dummy ); |
---|
275 | if ( cc < 0 ) |
---|
276 | mpz_add_ui( dummy, thempi, -cc ); |
---|
277 | else |
---|
278 | mpz_sub_ui( dummy, thempi, cc ); |
---|
279 | } |
---|
280 | if ( mpz_is_imm( dummy ) ) |
---|
281 | { |
---|
282 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
---|
283 | mpz_clear( dummy ); |
---|
284 | return res; |
---|
285 | } |
---|
286 | else |
---|
287 | return new InternalInteger( dummy ); |
---|
288 | } |
---|
289 | else |
---|
290 | { |
---|
291 | if ( negate ) |
---|
292 | { |
---|
293 | mpz_t dummy; |
---|
294 | mpz_init_set_si( dummy, cc ); |
---|
295 | mpz_sub( thempi, dummy, thempi ); |
---|
296 | mpz_clear( dummy ); |
---|
297 | } |
---|
298 | else |
---|
299 | if ( cc < 0 ) |
---|
300 | mpz_add_ui( thempi, thempi, -cc ); |
---|
301 | else |
---|
302 | mpz_sub_ui( thempi, thempi, cc ); |
---|
303 | if ( mpz_is_imm( thempi ) ) |
---|
304 | { |
---|
305 | InternalCF * res = int2imm( mpz_get_si( thempi ) ); |
---|
306 | delete this; |
---|
307 | return res; |
---|
308 | } |
---|
309 | else |
---|
310 | return this; |
---|
311 | } |
---|
312 | } |
---|
313 | |
---|
314 | InternalCF* InternalInteger::mulcoeff( InternalCF* c ) |
---|
315 | { |
---|
316 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
---|
317 | int cc = imm2int( c ); |
---|
318 | if ( getRefCount() > 1 ) |
---|
319 | { |
---|
320 | decRefCount(); |
---|
321 | mpz_t dummy; |
---|
322 | mpz_init( dummy ); |
---|
323 | if ( cc < 0 ) |
---|
324 | { |
---|
325 | mpz_mul_ui( dummy, thempi, -cc ); |
---|
326 | mpz_neg( dummy, dummy ); |
---|
327 | } |
---|
328 | else |
---|
329 | mpz_mul_ui( dummy, thempi, cc ); |
---|
330 | if ( mpz_is_imm( dummy ) ) |
---|
331 | { |
---|
332 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
---|
333 | mpz_clear( dummy ); |
---|
334 | return res; |
---|
335 | } |
---|
336 | else |
---|
337 | return new InternalInteger( dummy ); |
---|
338 | } |
---|
339 | else |
---|
340 | { |
---|
341 | if ( cc < 0 ) |
---|
342 | { |
---|
343 | mpz_mul_ui( thempi, thempi, -cc ); |
---|
344 | mpz_neg( thempi, thempi ); |
---|
345 | } |
---|
346 | else |
---|
347 | mpz_mul_ui( thempi, thempi, cc ); |
---|
348 | if ( mpz_is_imm( thempi ) ) |
---|
349 | { |
---|
350 | InternalCF * res = int2imm( mpz_get_si( thempi ) ); |
---|
351 | delete this; |
---|
352 | return res; |
---|
353 | } |
---|
354 | else |
---|
355 | return this; |
---|
356 | } |
---|
357 | } |
---|
358 | |
---|
359 | //{{{ InternalCF * InternalInteger::bgcdsame, bgcdcoeff ( const InternalCF * const c ) |
---|
360 | // docu: see CanonicalForm::bgcd() |
---|
361 | InternalCF * |
---|
362 | InternalInteger::bgcdsame ( const InternalCF * const c ) const |
---|
363 | { |
---|
364 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, "incompatible base coefficients" ); |
---|
365 | |
---|
366 | // simply return 1 if we are calculating over the rationals |
---|
367 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) |
---|
368 | return int2imm( 1 ); |
---|
369 | |
---|
370 | // calculate gcd |
---|
371 | mpz_t result; |
---|
372 | mpz_init( result ); |
---|
373 | mpz_gcd( result, thempi, MPI( c ) ); |
---|
374 | mpz_abs( result, result ); |
---|
375 | |
---|
376 | // check for immediate result |
---|
377 | if ( mpz_is_imm( result ) ) |
---|
378 | { |
---|
379 | InternalCF * res = int2imm( mpz_get_si( result ) ); |
---|
380 | mpz_clear( result ); |
---|
381 | return res; |
---|
382 | } |
---|
383 | else |
---|
384 | return new InternalInteger( result ); |
---|
385 | } |
---|
386 | |
---|
387 | InternalCF * |
---|
388 | InternalInteger::bgcdcoeff ( const InternalCF * const c ) |
---|
389 | { |
---|
390 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
---|
391 | |
---|
392 | // simply return 1 if we are calculating over the rationals |
---|
393 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) |
---|
394 | return int2imm( 1 ); |
---|
395 | |
---|
396 | int cInt = imm2int( c ); |
---|
397 | |
---|
398 | // trivial cases |
---|
399 | if ( cInt == 1 || cInt == -1 ) |
---|
400 | return int2imm( 1 ); |
---|
401 | else if ( cInt == 0 ) |
---|
402 | return copyObject(); |
---|
403 | |
---|
404 | // calculate gcd. We need a positive operand since |
---|
405 | // `mpz_gcd_ui()' operates an unsigned int's only. |
---|
406 | if ( cInt < 0 ) cInt = -cInt; |
---|
407 | mpz_t dummy; |
---|
408 | mpz_init( dummy ); |
---|
409 | // we do not need dummy since we know that cInt != 0 |
---|
410 | cInt = mpz_gcd_ui( dummy, thempi, cInt ); |
---|
411 | mpz_clear( dummy ); |
---|
412 | if ( cInt < 0 ) cInt = -cInt; |
---|
413 | return int2imm( cInt ); |
---|
414 | } |
---|
415 | //}}} |
---|
416 | |
---|
417 | //{{{ InternalCF * InternalInteger::bextgcdsame( InternalCF * c, CanonicalForm & a, CanonicalForm & b ) |
---|
418 | InternalCF * |
---|
419 | InternalInteger::bextgcdsame( InternalCF * c, CanonicalForm & a, CanonicalForm & b ) |
---|
420 | { |
---|
421 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, "incompatible base coefficients" ); |
---|
422 | |
---|
423 | // simply return 1 if we are calculating over the rationals |
---|
424 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) |
---|
425 | { |
---|
426 | a = 1/CanonicalForm( copyObject() ); b = 0; |
---|
427 | return int2imm( 1 ); |
---|
428 | } |
---|
429 | |
---|
430 | // calculate extended gcd |
---|
431 | mpz_t result, aMPI, bMPI; |
---|
432 | mpz_init( result ); |
---|
433 | mpz_init( aMPI ); |
---|
434 | mpz_init( bMPI ); |
---|
435 | mpz_gcdext( result, aMPI, bMPI, thempi, MPI( c ) ); |
---|
436 | |
---|
437 | // check and modify signs |
---|
438 | if ( mpz_sgn( result ) < 0 ) |
---|
439 | { |
---|
440 | mpz_neg( result, result ); |
---|
441 | mpz_neg( aMPI, aMPI ); |
---|
442 | mpz_neg( bMPI, bMPI ); |
---|
443 | } |
---|
444 | |
---|
445 | // postconditioning of result |
---|
446 | if ( mpz_is_imm( aMPI ) ) |
---|
447 | { |
---|
448 | a = CanonicalForm( int2imm( mpz_get_si( aMPI ) ) ); |
---|
449 | mpz_clear( aMPI ); |
---|
450 | } |
---|
451 | else |
---|
452 | a = CanonicalForm( new InternalInteger( aMPI ) ); |
---|
453 | if ( mpz_is_imm( bMPI ) ) |
---|
454 | { |
---|
455 | b = CanonicalForm( int2imm( mpz_get_si( bMPI ) ) ); |
---|
456 | mpz_clear( bMPI ); |
---|
457 | } |
---|
458 | else |
---|
459 | b = CanonicalForm( new InternalInteger( bMPI ) ); |
---|
460 | if ( mpz_is_imm( result ) ) |
---|
461 | { |
---|
462 | InternalCF * res = int2imm( mpz_get_si( result ) ); |
---|
463 | mpz_clear( result ); |
---|
464 | return res; |
---|
465 | } |
---|
466 | else |
---|
467 | return new InternalInteger( result ); |
---|
468 | } |
---|
469 | |
---|
470 | InternalCF * |
---|
471 | InternalInteger::bextgcdcoeff( InternalCF * c, CanonicalForm & a, CanonicalForm & b ) |
---|
472 | { |
---|
473 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
---|
474 | |
---|
475 | // simply return 1 if we are calculating over the rationals |
---|
476 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) |
---|
477 | { |
---|
478 | a = 1/CanonicalForm( copyObject() ); b = 0; |
---|
479 | return int2imm( 1 ); |
---|
480 | } |
---|
481 | |
---|
482 | int cInt = imm2int( c ); |
---|
483 | |
---|
484 | // trivial cases |
---|
485 | if ( cInt == 1 || cInt == -1 ) |
---|
486 | { |
---|
487 | a = 0; b = cInt; |
---|
488 | return int2imm( 1 ); |
---|
489 | } |
---|
490 | else if ( cInt == 0 ) |
---|
491 | { |
---|
492 | a = 1; b = 0; |
---|
493 | return copyObject(); |
---|
494 | } |
---|
495 | |
---|
496 | // calculate q and r such that CO = q*cInt + r |
---|
497 | InternalCF * q = 0, * r = 0; |
---|
498 | divremcoeff( c, q, r, false ); |
---|
499 | |
---|
500 | // we do not repeat all the code to calculate the gcd of two |
---|
501 | // immediates. Note that r is an immediate since c != 0, so |
---|
502 | // we do not have to destroy it. q is destroyed by the |
---|
503 | // CanonicalForm destructor, hence we do not need to worry |
---|
504 | // about it, either. |
---|
505 | CanonicalForm aPrime, bPrime; |
---|
506 | CanonicalForm result = bextgcd( c, r, aPrime, bPrime ); |
---|
507 | a = bPrime; |
---|
508 | b = aPrime - CanonicalForm( q ) * bPrime; |
---|
509 | |
---|
510 | return result.getval(); |
---|
511 | } |
---|
512 | //}}} |
---|
513 | |
---|
514 | int InternalInteger::intval() const |
---|
515 | { |
---|
516 | return (int)mpz_get_si( thempi ); |
---|
517 | } |
---|
518 | |
---|
519 | int InternalInteger::intmod( int p ) const |
---|
520 | { |
---|
521 | return (int)mpz_fdiv_ui( thempi, (unsigned long)p ); |
---|
522 | } |
---|
523 | |
---|
524 | //{{{ int InternalInteger::sign () const |
---|
525 | // docu: see CanonicalForm::sign() |
---|
526 | int |
---|
527 | InternalInteger::sign () const |
---|
528 | { |
---|
529 | return mpz_sgn( thempi ); |
---|
530 | } |
---|
531 | //}}} |
---|
532 | |
---|
533 | //{{{ InternalCF * InternalInteger::sqrt () |
---|
534 | // docu: see CanonicalForm::sqrt() |
---|
535 | InternalCF * |
---|
536 | InternalInteger::sqrt () |
---|
537 | { |
---|
538 | ASSERT( mpz_cmp_si( thempi, 0 ) >= 0, "sqrt() argument < 0" ); |
---|
539 | mpz_t result; |
---|
540 | mpz_init( result ); |
---|
541 | mpz_sqrt( result, thempi ); |
---|
542 | if ( mpz_is_imm( result ) ) |
---|
543 | { |
---|
544 | InternalCF * res = int2imm( mpz_get_si( result ) ); |
---|
545 | mpz_clear( result ); |
---|
546 | return res; |
---|
547 | } |
---|
548 | else |
---|
549 | return new InternalInteger( result ); |
---|
550 | } |
---|
551 | //}}} |
---|
552 | |
---|
553 | //{{{ int InternalInteger::ilog2 () |
---|
554 | // docu: see CanonicalForm::ilog2() |
---|
555 | int |
---|
556 | InternalInteger::ilog2 () |
---|
557 | { |
---|
558 | ASSERT( mpz_cmp_si( thempi, 0 ) > 0, "log() argument <= 0" ); |
---|
559 | return mpz_sizeinbase( thempi, 2 ) - 1; |
---|
560 | } |
---|
561 | //}}} |
---|