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isl_stream_error: print unexpected identifier name
[isl.git] / isl_polynomial.c
blob777c70179e39d626e3d2ebd46456e3eeaa9bcb2d
1 /*
2 * Copyright 2010 INRIA Saclay
3 *
4 * Use of this software is governed by the GNU LGPLv2.1 license
5 *
6 * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
7 * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
8 * 91893 Orsay, France
9 */
10
11 #include <stdlib.h>
12 #include <isl_seq.h>
13 #include <isl_union_map_private.h>
14 #include <isl_polynomial_private.h>
15 #include <isl_point_private.h>
16 #include <isl_dim_private.h>
17 #include <isl_map_private.h>
18
19 static unsigned pos(__isl_keep isl_dim *dim, enum isl_dim_type type)
20 {
21 switch (type) {
22 case isl_dim_param: return 0;
23 case isl_dim_in: return dim->nparam;
24 case isl_dim_out: return dim->nparam + dim->n_in;
25 default: return 0;
26 }
27 }
28
29 int isl_upoly_is_cst(__isl_keep struct isl_upoly *up)
30 {
31 if (!up)
32 return -1;
33
34 return up->var < 0;
35 }
36
37 __isl_keep struct isl_upoly_cst *isl_upoly_as_cst(__isl_keep struct isl_upoly *up)
38 {
39 if (!up)
40 return NULL;
41
42 isl_assert(up->ctx, up->var < 0, return NULL);
43
44 return (struct isl_upoly_cst *)up;
45 }
46
47 __isl_keep struct isl_upoly_rec *isl_upoly_as_rec(__isl_keep struct isl_upoly *up)
48 {
49 if (!up)
50 return NULL;
51
52 isl_assert(up->ctx, up->var >= 0, return NULL);
53
54 return (struct isl_upoly_rec *)up;
55 }
56
57 int isl_upoly_is_equal(__isl_keep struct isl_upoly *up1,
58 __isl_keep struct isl_upoly *up2)
59 {
60 int i;
61 struct isl_upoly_rec *rec1, *rec2;
62
63 if (!up1 || !up2)
64 return -1;
65 if (up1 == up2)
66 return 1;
67 if (up1->var != up2->var)
68 return 0;
69 if (isl_upoly_is_cst(up1)) {
70 struct isl_upoly_cst *cst1, *cst2;
71 cst1 = isl_upoly_as_cst(up1);
72 cst2 = isl_upoly_as_cst(up2);
73 if (!cst1 || !cst2)
74 return -1;
75 return isl_int_eq(cst1->n, cst2->n) &&
76 isl_int_eq(cst1->d, cst2->d);
77 }
78
79 rec1 = isl_upoly_as_rec(up1);
80 rec2 = isl_upoly_as_rec(up2);
81 if (!rec1 || !rec2)
82 return -1;
83
84 if (rec1->n != rec2->n)
85 return 0;
86
87 for (i = 0; i < rec1->n; ++i) {
88 int eq = isl_upoly_is_equal(rec1->p[i], rec2->p[i]);
89 if (eq < 0 || !eq)
90 return eq;
91 }
92
93 return 1;
94 }
95
96 int isl_upoly_is_zero(__isl_keep struct isl_upoly *up)
97 {
98 struct isl_upoly_cst *cst;
99
100 if (!up)
101 return -1;
102 if (!isl_upoly_is_cst(up))
103 return 0;
104
105 cst = isl_upoly_as_cst(up);
106 if (!cst)
107 return -1;
108
109 return isl_int_is_zero(cst->n) && isl_int_is_pos(cst->d);
110 }
111
112 int isl_upoly_sgn(__isl_keep struct isl_upoly *up)
113 {
114 struct isl_upoly_cst *cst;
115
116 if (!up)
117 return 0;
118 if (!isl_upoly_is_cst(up))
119 return 0;
120
121 cst = isl_upoly_as_cst(up);
122 if (!cst)
123 return 0;
124
125 return isl_int_sgn(cst->n);
126 }
127
128 int isl_upoly_is_nan(__isl_keep struct isl_upoly *up)
129 {
130 struct isl_upoly_cst *cst;
131
132 if (!up)
133 return -1;
134 if (!isl_upoly_is_cst(up))
135 return 0;
136
137 cst = isl_upoly_as_cst(up);
138 if (!cst)
139 return -1;
140
141 return isl_int_is_zero(cst->n) && isl_int_is_zero(cst->d);
142 }
143
144 int isl_upoly_is_infty(__isl_keep struct isl_upoly *up)
145 {
146 struct isl_upoly_cst *cst;
147
148 if (!up)
149 return -1;
150 if (!isl_upoly_is_cst(up))
151 return 0;
152
153 cst = isl_upoly_as_cst(up);
154 if (!cst)
155 return -1;
156
157 return isl_int_is_pos(cst->n) && isl_int_is_zero(cst->d);
158 }
159
160 int isl_upoly_is_neginfty(__isl_keep struct isl_upoly *up)
161 {
162 struct isl_upoly_cst *cst;
163
164 if (!up)
165 return -1;
166 if (!isl_upoly_is_cst(up))
167 return 0;
168
169 cst = isl_upoly_as_cst(up);
170 if (!cst)
171 return -1;
172
173 return isl_int_is_neg(cst->n) && isl_int_is_zero(cst->d);
174 }
175
176 int isl_upoly_is_one(__isl_keep struct isl_upoly *up)
177 {
178 struct isl_upoly_cst *cst;
179
180 if (!up)
181 return -1;
182 if (!isl_upoly_is_cst(up))
183 return 0;
184
185 cst = isl_upoly_as_cst(up);
186 if (!cst)
187 return -1;
188
189 return isl_int_eq(cst->n, cst->d) && isl_int_is_pos(cst->d);
190 }
191
192 int isl_upoly_is_negone(__isl_keep struct isl_upoly *up)
193 {
194 struct isl_upoly_cst *cst;
195
196 if (!up)
197 return -1;
198 if (!isl_upoly_is_cst(up))
199 return 0;
200
201 cst = isl_upoly_as_cst(up);
202 if (!cst)
203 return -1;
204
205 return isl_int_is_negone(cst->n) && isl_int_is_one(cst->d);
206 }
207
208 __isl_give struct isl_upoly_cst *isl_upoly_cst_alloc(struct isl_ctx *ctx)
209 {
210 struct isl_upoly_cst *cst;
211
212 cst = isl_alloc_type(ctx, struct isl_upoly_cst);
213 if (!cst)
214 return NULL;
215
216 cst->up.ref = 1;
217 cst->up.ctx = ctx;
218 isl_ctx_ref(ctx);
219 cst->up.var = -1;
220
221 isl_int_init(cst->n);
222 isl_int_init(cst->d);
223
224 return cst;
225 }
226
227 __isl_give struct isl_upoly *isl_upoly_zero(struct isl_ctx *ctx)
228 {
229 struct isl_upoly_cst *cst;
230
231 cst = isl_upoly_cst_alloc(ctx);
232 if (!cst)
233 return NULL;
234
235 isl_int_set_si(cst->n, 0);
236 isl_int_set_si(cst->d, 1);
237
238 return &cst->up;
239 }
240
241 __isl_give struct isl_upoly *isl_upoly_infty(struct isl_ctx *ctx)
242 {
243 struct isl_upoly_cst *cst;
244
245 cst = isl_upoly_cst_alloc(ctx);
246 if (!cst)
247 return NULL;
248
249 isl_int_set_si(cst->n, 1);
250 isl_int_set_si(cst->d, 0);
251
252 return &cst->up;
253 }
254
255 __isl_give struct isl_upoly *isl_upoly_neginfty(struct isl_ctx *ctx)
256 {
257 struct isl_upoly_cst *cst;
258
259 cst = isl_upoly_cst_alloc(ctx);
260 if (!cst)
261 return NULL;
262
263 isl_int_set_si(cst->n, -1);
264 isl_int_set_si(cst->d, 0);
265
266 return &cst->up;
267 }
268
269 __isl_give struct isl_upoly *isl_upoly_nan(struct isl_ctx *ctx)
270 {
271 struct isl_upoly_cst *cst;
272
273 cst = isl_upoly_cst_alloc(ctx);
274 if (!cst)
275 return NULL;
276
277 isl_int_set_si(cst->n, 0);
278 isl_int_set_si(cst->d, 0);
279
280 return &cst->up;
281 }
282
283 __isl_give struct isl_upoly *isl_upoly_rat_cst(struct isl_ctx *ctx,
284 isl_int n, isl_int d)
285 {
286 struct isl_upoly_cst *cst;
287
288 cst = isl_upoly_cst_alloc(ctx);
289 if (!cst)
290 return NULL;
291
292 isl_int_set(cst->n, n);
293 isl_int_set(cst->d, d);
294
295 return &cst->up;
296 }
297
298 __isl_give struct isl_upoly_rec *isl_upoly_alloc_rec(struct isl_ctx *ctx,
299 int var, int size)
300 {
301 struct isl_upoly_rec *rec;
302
303 isl_assert(ctx, var >= 0, return NULL);
304 isl_assert(ctx, size >= 0, return NULL);
305 rec = isl_calloc(ctx, struct isl_upoly_rec,
306 sizeof(struct isl_upoly_rec) +
307 (size - 1) * sizeof(struct isl_upoly *));
308 if (!rec)
309 return NULL;
310
311 rec->up.ref = 1;
312 rec->up.ctx = ctx;
313 isl_ctx_ref(ctx);
314 rec->up.var = var;
315
316 rec->n = 0;
317 rec->size = size;
318
319 return rec;
320 }
321
322 __isl_give isl_qpolynomial *isl_qpolynomial_reset_dim(
323 __isl_take isl_qpolynomial *qp, __isl_take isl_dim *dim)
324 {
325 if (!qp || !dim)
326 goto error;
327
328 isl_dim_free(qp->dim);
329 qp->dim = dim;
330
331 return qp;
332 error:
333 isl_qpolynomial_free(qp);
334 isl_dim_free(dim);
335 return NULL;
336 }
337
338 isl_ctx *isl_qpolynomial_get_ctx(__isl_keep isl_qpolynomial *qp)
339 {
340 return qp ? qp->dim->ctx : NULL;
341 }
342
343 __isl_give isl_dim *isl_qpolynomial_get_dim(__isl_keep isl_qpolynomial *qp)
344 {
345 return qp ? isl_dim_copy(qp->dim) : NULL;
346 }
347
348 unsigned isl_qpolynomial_dim(__isl_keep isl_qpolynomial *qp,
349 enum isl_dim_type type)
350 {
351 return qp ? isl_dim_size(qp->dim, type) : 0;
352 }
353
354 int isl_qpolynomial_is_zero(__isl_keep isl_qpolynomial *qp)
355 {
356 return qp ? isl_upoly_is_zero(qp->upoly) : -1;
357 }
358
359 int isl_qpolynomial_is_one(__isl_keep isl_qpolynomial *qp)
360 {
361 return qp ? isl_upoly_is_one(qp->upoly) : -1;
362 }
363
364 int isl_qpolynomial_is_nan(__isl_keep isl_qpolynomial *qp)
365 {
366 return qp ? isl_upoly_is_nan(qp->upoly) : -1;
367 }
368
369 int isl_qpolynomial_is_infty(__isl_keep isl_qpolynomial *qp)
370 {
371 return qp ? isl_upoly_is_infty(qp->upoly) : -1;
372 }
373
374 int isl_qpolynomial_is_neginfty(__isl_keep isl_qpolynomial *qp)
375 {
376 return qp ? isl_upoly_is_neginfty(qp->upoly) : -1;
377 }
378
379 int isl_qpolynomial_sgn(__isl_keep isl_qpolynomial *qp)
380 {
381 return qp ? isl_upoly_sgn(qp->upoly) : 0;
382 }
383
384 static void upoly_free_cst(__isl_take struct isl_upoly_cst *cst)
385 {
386 isl_int_clear(cst->n);
387 isl_int_clear(cst->d);
388 }
389
390 static void upoly_free_rec(__isl_take struct isl_upoly_rec *rec)
391 {
392 int i;
393
394 for (i = 0; i < rec->n; ++i)
395 isl_upoly_free(rec->p[i]);
396 }
397
398 __isl_give struct isl_upoly *isl_upoly_copy(__isl_keep struct isl_upoly *up)
399 {
400 if (!up)
401 return NULL;
402
403 up->ref++;
404 return up;
405 }
406
407 __isl_give struct isl_upoly *isl_upoly_dup_cst(__isl_keep struct isl_upoly *up)
408 {
409 struct isl_upoly_cst *cst;
410 struct isl_upoly_cst *dup;
411
412 cst = isl_upoly_as_cst(up);
413 if (!cst)
414 return NULL;
415
416 dup = isl_upoly_as_cst(isl_upoly_zero(up->ctx));
417 if (!dup)
418 return NULL;
419 isl_int_set(dup->n, cst->n);
420 isl_int_set(dup->d, cst->d);
421
422 return &dup->up;
423 }
424
425 __isl_give struct isl_upoly *isl_upoly_dup_rec(__isl_keep struct isl_upoly *up)
426 {
427 int i;
428 struct isl_upoly_rec *rec;
429 struct isl_upoly_rec *dup;
430
431 rec = isl_upoly_as_rec(up);
432 if (!rec)
433 return NULL;
434
435 dup = isl_upoly_alloc_rec(up->ctx, up->var, rec->n);
436 if (!dup)
437 return NULL;
438
439 for (i = 0; i < rec->n; ++i) {
440 dup->p[i] = isl_upoly_copy(rec->p[i]);
441 if (!dup->p[i])
442 goto error;
443 dup->n++;
444 }
445
446 return &dup->up;
447 error:
448 isl_upoly_free(&dup->up);
449 return NULL;
450 }
451
452 __isl_give struct isl_upoly *isl_upoly_dup(__isl_keep struct isl_upoly *up)
453 {
454 struct isl_upoly *dup;
455
456 if (!up)
457 return NULL;
458
459 if (isl_upoly_is_cst(up))
460 return isl_upoly_dup_cst(up);
461 else
462 return isl_upoly_dup_rec(up);
463 }
464
465 __isl_give struct isl_upoly *isl_upoly_cow(__isl_take struct isl_upoly *up)
466 {
467 if (!up)
468 return NULL;
469
470 if (up->ref == 1)
471 return up;
472 up->ref--;
473 return isl_upoly_dup(up);
474 }
475
476 void isl_upoly_free(__isl_take struct isl_upoly *up)
477 {
478 if (!up)
479 return;
480
481 if (--up->ref > 0)
482 return;
483
484 if (up->var < 0)
485 upoly_free_cst((struct isl_upoly_cst *)up);
486 else
487 upoly_free_rec((struct isl_upoly_rec *)up);
488
489 isl_ctx_deref(up->ctx);
490 free(up);
491 }
492
493 static void isl_upoly_cst_reduce(__isl_keep struct isl_upoly_cst *cst)
494 {
495 isl_int gcd;
496
497 isl_int_init(gcd);
498 isl_int_gcd(gcd, cst->n, cst->d);
499 if (!isl_int_is_zero(gcd) && !isl_int_is_one(gcd)) {
500 isl_int_divexact(cst->n, cst->n, gcd);
501 isl_int_divexact(cst->d, cst->d, gcd);
502 }
503 isl_int_clear(gcd);
504 }
505
506 __isl_give struct isl_upoly *isl_upoly_sum_cst(__isl_take struct isl_upoly *up1,
507 __isl_take struct isl_upoly *up2)
508 {
509 struct isl_upoly_cst *cst1;
510 struct isl_upoly_cst *cst2;
511
512 up1 = isl_upoly_cow(up1);
513 if (!up1 || !up2)
514 goto error;
515
516 cst1 = isl_upoly_as_cst(up1);
517 cst2 = isl_upoly_as_cst(up2);
518
519 if (isl_int_eq(cst1->d, cst2->d))
520 isl_int_add(cst1->n, cst1->n, cst2->n);
521 else {
522 isl_int_mul(cst1->n, cst1->n, cst2->d);
523 isl_int_addmul(cst1->n, cst2->n, cst1->d);
524 isl_int_mul(cst1->d, cst1->d, cst2->d);
525 }
526
527 isl_upoly_cst_reduce(cst1);
528
529 isl_upoly_free(up2);
530 return up1;
531 error:
532 isl_upoly_free(up1);
533 isl_upoly_free(up2);
534 return NULL;
535 }
536
537 static __isl_give struct isl_upoly *replace_by_zero(
538 __isl_take struct isl_upoly *up)
539 {
540 struct isl_ctx *ctx;
541
542 if (!up)
543 return NULL;
544 ctx = up->ctx;
545 isl_upoly_free(up);
546 return isl_upoly_zero(ctx);
547 }
548
549 static __isl_give struct isl_upoly *replace_by_constant_term(
550 __isl_take struct isl_upoly *up)
551 {
552 struct isl_upoly_rec *rec;
553 struct isl_upoly *cst;
554
555 if (!up)
556 return NULL;
557
558 rec = isl_upoly_as_rec(up);
559 if (!rec)
560 goto error;
561 cst = isl_upoly_copy(rec->p[0]);
562 isl_upoly_free(up);
563 return cst;
564 error:
565 isl_upoly_free(up);
566 return NULL;
567 }
568
569 __isl_give struct isl_upoly *isl_upoly_sum(__isl_take struct isl_upoly *up1,
570 __isl_take struct isl_upoly *up2)
571 {
572 int i;
573 struct isl_upoly_rec *rec1, *rec2;
574
575 if (!up1 || !up2)
576 goto error;
577
578 if (isl_upoly_is_nan(up1)) {
579 isl_upoly_free(up2);
580 return up1;
581 }
582
583 if (isl_upoly_is_nan(up2)) {
584 isl_upoly_free(up1);
585 return up2;
586 }
587
588 if (isl_upoly_is_zero(up1)) {
589 isl_upoly_free(up1);
590 return up2;
591 }
592
593 if (isl_upoly_is_zero(up2)) {
594 isl_upoly_free(up2);
595 return up1;
596 }
597
598 if (up1->var < up2->var)
599 return isl_upoly_sum(up2, up1);
600
601 if (up2->var < up1->var) {
602 struct isl_upoly_rec *rec;
603 if (isl_upoly_is_infty(up2) || isl_upoly_is_neginfty(up2)) {
604 isl_upoly_free(up1);
605 return up2;
606 }
607 up1 = isl_upoly_cow(up1);
608 rec = isl_upoly_as_rec(up1);
609 if (!rec)
610 goto error;
611 rec->p[0] = isl_upoly_sum(rec->p[0], up2);
612 if (rec->n == 1)
613 up1 = replace_by_constant_term(up1);
614 return up1;
615 }
616
617 if (isl_upoly_is_cst(up1))
618 return isl_upoly_sum_cst(up1, up2);
619
620 rec1 = isl_upoly_as_rec(up1);
621 rec2 = isl_upoly_as_rec(up2);
622 if (!rec1 || !rec2)
623 goto error;
624
625 if (rec1->n < rec2->n)
626 return isl_upoly_sum(up2, up1);
627
628 up1 = isl_upoly_cow(up1);
629 rec1 = isl_upoly_as_rec(up1);
630 if (!rec1)
631 goto error;
632
633 for (i = rec2->n - 1; i >= 0; --i) {
634 rec1->p[i] = isl_upoly_sum(rec1->p[i],
635 isl_upoly_copy(rec2->p[i]));
636 if (!rec1->p[i])
637 goto error;
638 if (i == rec1->n - 1 && isl_upoly_is_zero(rec1->p[i])) {
639 isl_upoly_free(rec1->p[i]);
640 rec1->n--;
641 }
642 }
643
644 if (rec1->n == 0)
645 up1 = replace_by_zero(up1);
646 else if (rec1->n == 1)
647 up1 = replace_by_constant_term(up1);
648
649 isl_upoly_free(up2);
650
651 return up1;
652 error:
653 isl_upoly_free(up1);
654 isl_upoly_free(up2);
655 return NULL;
656 }
657
658 __isl_give struct isl_upoly *isl_upoly_neg_cst(__isl_take struct isl_upoly *up)
659 {
660 struct isl_upoly_cst *cst;
661
662 if (isl_upoly_is_zero(up))
663 return up;
664
665 up = isl_upoly_cow(up);
666 if (!up)
667 return NULL;
668
669 cst = isl_upoly_as_cst(up);
670
671 isl_int_neg(cst->n, cst->n);
672
673 return up;
674 }
675
676 __isl_give struct isl_upoly *isl_upoly_neg(__isl_take struct isl_upoly *up)
677 {
678 int i;
679 struct isl_upoly_rec *rec;
680
681 if (!up)
682 return NULL;
683
684 if (isl_upoly_is_cst(up))
685 return isl_upoly_neg_cst(up);
686
687 up = isl_upoly_cow(up);
688 rec = isl_upoly_as_rec(up);
689 if (!rec)
690 goto error;
691
692 for (i = 0; i < rec->n; ++i) {
693 rec->p[i] = isl_upoly_neg(rec->p[i]);
694 if (!rec->p[i])
695 goto error;
696 }
697
698 return up;
699 error:
700 isl_upoly_free(up);
701 return NULL;
702 }
703
704 __isl_give struct isl_upoly *isl_upoly_mul_cst(__isl_take struct isl_upoly *up1,
705 __isl_take struct isl_upoly *up2)
706 {
707 struct isl_upoly_cst *cst1;
708 struct isl_upoly_cst *cst2;
709
710 up1 = isl_upoly_cow(up1);
711 if (!up1 || !up2)
712 goto error;
713
714 cst1 = isl_upoly_as_cst(up1);
715 cst2 = isl_upoly_as_cst(up2);
716
717 isl_int_mul(cst1->n, cst1->n, cst2->n);
718 isl_int_mul(cst1->d, cst1->d, cst2->d);
719
720 isl_upoly_cst_reduce(cst1);
721
722 isl_upoly_free(up2);
723 return up1;
724 error:
725 isl_upoly_free(up1);
726 isl_upoly_free(up2);
727 return NULL;
728 }
729
730 __isl_give struct isl_upoly *isl_upoly_mul_rec(__isl_take struct isl_upoly *up1,
731 __isl_take struct isl_upoly *up2)
732 {
733 struct isl_upoly_rec *rec1;
734 struct isl_upoly_rec *rec2;
735 struct isl_upoly_rec *res;
736 int i, j;
737 int size;
738
739 rec1 = isl_upoly_as_rec(up1);
740 rec2 = isl_upoly_as_rec(up2);
741 if (!rec1 || !rec2)
742 goto error;
743 size = rec1->n + rec2->n - 1;
744 res = isl_upoly_alloc_rec(up1->ctx, up1->var, size);
745 if (!res)
746 goto error;
747
748 for (i = 0; i < rec1->n; ++i) {
749 res->p[i] = isl_upoly_mul(isl_upoly_copy(rec2->p[0]),
750 isl_upoly_copy(rec1->p[i]));
751 if (!res->p[i])
752 goto error;
753 res->n++;
754 }
755 for (; i < size; ++i) {
756 res->p[i] = isl_upoly_zero(up1->ctx);
757 if (!res->p[i])
758 goto error;
759 res->n++;
760 }
761 for (i = 0; i < rec1->n; ++i) {
762 for (j = 1; j < rec2->n; ++j) {
763 struct isl_upoly *up;
764 up = isl_upoly_mul(isl_upoly_copy(rec2->p[j]),
765 isl_upoly_copy(rec1->p[i]));
766 res->p[i + j] = isl_upoly_sum(res->p[i + j], up);
767 if (!res->p[i + j])
768 goto error;
769 }
770 }
771
772 isl_upoly_free(up1);
773 isl_upoly_free(up2);
774
775 return &res->up;
776 error:
777 isl_upoly_free(up1);
778 isl_upoly_free(up2);
779 isl_upoly_free(&res->up);
780 return NULL;
781 }
782
783 __isl_give struct isl_upoly *isl_upoly_mul(__isl_take struct isl_upoly *up1,
784 __isl_take struct isl_upoly *up2)
785 {
786 if (!up1 || !up2)
787 goto error;
788
789 if (isl_upoly_is_nan(up1)) {
790 isl_upoly_free(up2);
791 return up1;
792 }
793
794 if (isl_upoly_is_nan(up2)) {
795 isl_upoly_free(up1);
796 return up2;
797 }
798
799 if (isl_upoly_is_zero(up1)) {
800 isl_upoly_free(up2);
801 return up1;
802 }
803
804 if (isl_upoly_is_zero(up2)) {
805 isl_upoly_free(up1);
806 return up2;
807 }
808
809 if (isl_upoly_is_one(up1)) {
810 isl_upoly_free(up1);
811 return up2;
812 }
813
814 if (isl_upoly_is_one(up2)) {
815 isl_upoly_free(up2);
816 return up1;
817 }
818
819 if (up1->var < up2->var)
820 return isl_upoly_mul(up2, up1);
821
822 if (up2->var < up1->var) {
823 int i;
824 struct isl_upoly_rec *rec;
825 if (isl_upoly_is_infty(up2) || isl_upoly_is_neginfty(up2)) {
826 isl_ctx *ctx = up1->ctx;
827 isl_upoly_free(up1);
828 isl_upoly_free(up2);
829 return isl_upoly_nan(ctx);
830 }
831 up1 = isl_upoly_cow(up1);
832 rec = isl_upoly_as_rec(up1);
833 if (!rec)
834 goto error;
835
836 for (i = 0; i < rec->n; ++i) {
837 rec->p[i] = isl_upoly_mul(rec->p[i],
838 isl_upoly_copy(up2));
839 if (!rec->p[i])
840 goto error;
841 }
842 isl_upoly_free(up2);
843 return up1;
844 }
845
846 if (isl_upoly_is_cst(up1))
847 return isl_upoly_mul_cst(up1, up2);
848
849 return isl_upoly_mul_rec(up1, up2);
850 error:
851 isl_upoly_free(up1);
852 isl_upoly_free(up2);
853 return NULL;
854 }
855
856 __isl_give isl_qpolynomial *isl_qpolynomial_alloc(__isl_take isl_dim *dim,
857 unsigned n_div, __isl_take struct isl_upoly *up)
858 {
859 struct isl_qpolynomial *qp = NULL;
860 unsigned total;
861
862 if (!dim || !up)
863 goto error;
864
865 total = isl_dim_total(dim);
866
867 qp = isl_calloc_type(dim->ctx, struct isl_qpolynomial);
868 if (!qp)
869 goto error;
870
871 qp->ref = 1;
872 qp->div = isl_mat_alloc(dim->ctx, n_div, 1 + 1 + total + n_div);
873 if (!qp->div)
874 goto error;
875
876 qp->dim = dim;
877 qp->upoly = up;
878
879 return qp;
880 error:
881 isl_dim_free(dim);
882 isl_upoly_free(up);
883 isl_qpolynomial_free(qp);
884 return NULL;
885 }
886
887 __isl_give isl_qpolynomial *isl_qpolynomial_copy(__isl_keep isl_qpolynomial *qp)
888 {
889 if (!qp)
890 return NULL;
891
892 qp->ref++;
893 return qp;
894 }
895
896 __isl_give isl_qpolynomial *isl_qpolynomial_dup(__isl_keep isl_qpolynomial *qp)
897 {
898 struct isl_qpolynomial *dup;
899
900 if (!qp)
901 return NULL;
902
903 dup = isl_qpolynomial_alloc(isl_dim_copy(qp->dim), qp->div->n_row,
904 isl_upoly_copy(qp->upoly));
905 if (!dup)
906 return NULL;
907 isl_mat_free(dup->div);
908 dup->div = isl_mat_copy(qp->div);
909 if (!dup->div)
910 goto error;
911
912 return dup;
913 error:
914 isl_qpolynomial_free(dup);
915 return NULL;
916 }
917
918 __isl_give isl_qpolynomial *isl_qpolynomial_cow(__isl_take isl_qpolynomial *qp)
919 {
920 if (!qp)
921 return NULL;
922
923 if (qp->ref == 1)
924 return qp;
925 qp->ref--;
926 return isl_qpolynomial_dup(qp);
927 }
928
929 void isl_qpolynomial_free(__isl_take isl_qpolynomial *qp)
930 {
931 if (!qp)
932 return;
933
934 if (--qp->ref > 0)
935 return;
936
937 isl_dim_free(qp->dim);
938 isl_mat_free(qp->div);
939 isl_upoly_free(qp->upoly);
940
941 free(qp);
942 }
943
944 __isl_give struct isl_upoly *isl_upoly_pow(isl_ctx *ctx, int pos, int power)
945 {
946 int i;
947 struct isl_upoly *up;
948 struct isl_upoly_rec *rec;
949 struct isl_upoly_cst *cst;
950
951 rec = isl_upoly_alloc_rec(ctx, pos, 1 + power);
952 if (!rec)
953 return NULL;
954 for (i = 0; i < 1 + power; ++i) {
955 rec->p[i] = isl_upoly_zero(ctx);
956 if (!rec->p[i])
957 goto error;
958 rec->n++;
959 }
960 cst = isl_upoly_as_cst(rec->p[power]);
961 isl_int_set_si(cst->n, 1);
962
963 return &rec->up;
964 error:
965 isl_upoly_free(&rec->up);
966 return NULL;
967 }
968
969 /* r array maps original positions to new positions.
970 */
971 static __isl_give struct isl_upoly *reorder(__isl_take struct isl_upoly *up,
972 int *r)
973 {
974 int i;
975 struct isl_upoly_rec *rec;
976 struct isl_upoly *base;
977 struct isl_upoly *res;
978
979 if (isl_upoly_is_cst(up))
980 return up;
981
982 rec = isl_upoly_as_rec(up);
983 if (!rec)
984 goto error;
985
986 isl_assert(up->ctx, rec->n >= 1, goto error);
987
988 base = isl_upoly_pow(up->ctx, r[up->var], 1);
989 res = reorder(isl_upoly_copy(rec->p[rec->n - 1]), r);
990
991 for (i = rec->n - 2; i >= 0; --i) {
992 res = isl_upoly_mul(res, isl_upoly_copy(base));
993 res = isl_upoly_sum(res, reorder(isl_upoly_copy(rec->p[i]), r));
994 }
995
996 isl_upoly_free(base);
997 isl_upoly_free(up);
998
999 return res;
1000 error:
1001 isl_upoly_free(up);
1002 return NULL;
1003 }
1004
1005 static int compatible_divs(__isl_keep isl_mat *div1, __isl_keep isl_mat *div2)
1006 {
1007 int n_row, n_col;
1008 int equal;
1009
1010 isl_assert(div1->ctx, div1->n_row >= div2->n_row &&
1011 div1->n_col >= div2->n_col, return -1);
1012
1013 if (div1->n_row == div2->n_row)
1014 return isl_mat_is_equal(div1, div2);
1015
1016 n_row = div1->n_row;
1017 n_col = div1->n_col;
1018 div1->n_row = div2->n_row;
1019 div1->n_col = div2->n_col;
1020
1021 equal = isl_mat_is_equal(div1, div2);
1022
1023 div1->n_row = n_row;
1024 div1->n_col = n_col;
1025
1026 return equal;
1027 }
1028
1029 static void expand_row(__isl_keep isl_mat *dst, int d,
1030 __isl_keep isl_mat *src, int s, int *exp)
1031 {
1032 int i;
1033 unsigned c = src->n_col - src->n_row;
1034
1035 isl_seq_cpy(dst->row[d], src->row[s], c);
1036 isl_seq_clr(dst->row[d] + c, dst->n_col - c);
1037
1038 for (i = 0; i < s; ++i)
1039 isl_int_set(dst->row[d][c + exp[i]], src->row[s][c + i]);
1040 }
1041
1042 static int cmp_row(__isl_keep isl_mat *div, int i, int j)
1043 {
1044 int li, lj;
1045
1046 li = isl_seq_last_non_zero(div->row[i], div->n_col);
1047 lj = isl_seq_last_non_zero(div->row[j], div->n_col);
1048
1049 if (li != lj)
1050 return li - lj;
1051
1052 return isl_seq_cmp(div->row[i], div->row[j], div->n_col);
1053 }
1054
1055 struct isl_div_sort_info {
1056 isl_mat *div;
1057 int row;
1058 };
1059
1060 static int div_sort_cmp(const void *p1, const void *p2)
1061 {
1062 const struct isl_div_sort_info *i1, *i2;
1063 i1 = (const struct isl_div_sort_info *) p1;
1064 i2 = (const struct isl_div_sort_info *) p2;
1065
1066 return cmp_row(i1->div, i1->row, i2->row);
1067 }
1068
1069 static __isl_give isl_qpolynomial *sort_divs(__isl_take isl_qpolynomial *qp)
1070 {
1071 int i;
1072 struct isl_div_sort_info *array = NULL;
1073 int *pos = NULL;
1074 int *reordering = NULL;
1075 unsigned div_pos;
1076
1077 if (!qp)
1078 return NULL;
1079 if (qp->div->n_row <= 1)
1080 return qp;
1081
1082 div_pos = isl_dim_total(qp->dim);
1083
1084 array = isl_alloc_array(qp->div->ctx, struct isl_div_sort_info,
1085 qp->div->n_row);
1086 pos = isl_alloc_array(qp->div->ctx, int, qp->div->n_row);
1087 reordering = isl_alloc_array(qp->div->ctx, int, qp->div->n_col - 2);
1088 if (!array || !pos || !reordering)
1089 goto error;
1090
1091 for (i = 0; i < qp->div->n_row; ++i) {
1092 array[i].div = qp->div;
1093 array[i].row = i;
1094 pos[i] = i;
1095 }
1096
1097 qsort(array, qp->div->n_row, sizeof(struct isl_div_sort_info),
1098 div_sort_cmp);
1099
1100 for (i = 0; i < div_pos; ++i)
1101 reordering[i] = i;
1102
1103 for (i = 0; i < qp->div->n_row; ++i)
1104 reordering[div_pos + array[i].row] = div_pos + i;
1105
1106 for (i = 0; i < qp->div->n_row; ++i) {
1107 int t;
1108 if (pos[array[i].row] == i)
1109 continue;
1110 qp->div = isl_mat_cow(qp->div);
1111 qp->div = isl_mat_swap_rows(qp->div, i, pos[array[i].row]);
1112 t = pos[array[i].row];
1113 pos[array[i].row] = pos[i];
1114 pos[i] = t;
1115 }
1116
1117 qp->upoly = reorder(qp->upoly, reordering);
1118
1119 if (!qp->upoly || !qp->div)
1120 goto error;
1121
1122 free(pos);
1123 free(array);
1124 free(reordering);
1125
1126 return qp;
1127 error:
1128 free(pos);
1129 free(array);
1130 free(reordering);
1131 isl_qpolynomial_free(qp);
1132 return NULL;
1133 }
1134
1135 static __isl_give isl_mat *merge_divs(__isl_keep isl_mat *div1,
1136 __isl_keep isl_mat *div2, int *exp1, int *exp2)
1137 {
1138 int i, j, k;
1139 isl_mat *div = NULL;
1140 unsigned d = div1->n_col - div1->n_row;
1141
1142 div = isl_mat_alloc(div1->ctx, 1 + div1->n_row + div2->n_row,
1143 d + div1->n_row + div2->n_row);
1144 if (!div)
1145 return NULL;
1146
1147 for (i = 0, j = 0, k = 0; i < div1->n_row && j < div2->n_row; ++k) {
1148 int cmp;
1149
1150 expand_row(div, k, div1, i, exp1);
1151 expand_row(div, k + 1, div2, j, exp2);
1152
1153 cmp = cmp_row(div, k, k + 1);
1154 if (cmp == 0) {
1155 exp1[i++] = k;
1156 exp2[j++] = k;
1157 } else if (cmp < 0) {
1158 exp1[i++] = k;
1159 } else {
1160 exp2[j++] = k;
1161 isl_seq_cpy(div->row[k], div->row[k + 1], div->n_col);
1162 }
1163 }
1164 for (; i < div1->n_row; ++i, ++k) {
1165 expand_row(div, k, div1, i, exp1);
1166 exp1[i] = k;
1167 }
1168 for (; j < div2->n_row; ++j, ++k) {
1169 expand_row(div, k, div2, j, exp2);
1170 exp2[j] = k;
1171 }
1172
1173 div->n_row = k;
1174 div->n_col = d + k;
1175
1176 return div;
1177 }
1178
1179 static __isl_give struct isl_upoly *expand(__isl_take struct isl_upoly *up,
1180 int *exp, int first)
1181 {
1182 int i;
1183 struct isl_upoly_rec *rec;
1184
1185 if (isl_upoly_is_cst(up))
1186 return up;
1187
1188 if (up->var < first)
1189 return up;
1190
1191 if (exp[up->var - first] == up->var - first)
1192 return up;
1193
1194 up = isl_upoly_cow(up);
1195 if (!up)
1196 goto error;
1197
1198 up->var = exp[up->var - first] + first;
1199
1200 rec = isl_upoly_as_rec(up);
1201 if (!rec)
1202 goto error;
1203
1204 for (i = 0; i < rec->n; ++i) {
1205 rec->p[i] = expand(rec->p[i], exp, first);
1206 if (!rec->p[i])
1207 goto error;
1208 }
1209
1210 return up;
1211 error:
1212 isl_upoly_free(up);
1213 return NULL;
1214 }
1215
1216 static __isl_give isl_qpolynomial *with_merged_divs(
1217 __isl_give isl_qpolynomial *(*fn)(__isl_take isl_qpolynomial *qp1,
1218 __isl_take isl_qpolynomial *qp2),
1219 __isl_take isl_qpolynomial *qp1, __isl_take isl_qpolynomial *qp2)
1220 {
1221 int *exp1 = NULL;
1222 int *exp2 = NULL;
1223 isl_mat *div = NULL;
1224
1225 qp1 = isl_qpolynomial_cow(qp1);
1226 qp2 = isl_qpolynomial_cow(qp2);
1227
1228 if (!qp1 || !qp2)
1229 goto error;
1230
1231 isl_assert(qp1->div->ctx, qp1->div->n_row >= qp2->div->n_row &&
1232 qp1->div->n_col >= qp2->div->n_col, goto error);
1233
1234 exp1 = isl_alloc_array(qp1->div->ctx, int, qp1->div->n_row);
1235 exp2 = isl_alloc_array(qp2->div->ctx, int, qp2->div->n_row);
1236 if (!exp1 || !exp2)
1237 goto error;
1238
1239 div = merge_divs(qp1->div, qp2->div, exp1, exp2);
1240 if (!div)
1241 goto error;
1242
1243 isl_mat_free(qp1->div);
1244 qp1->div = isl_mat_copy(div);
1245 isl_mat_free(qp2->div);
1246 qp2->div = isl_mat_copy(div);
1247
1248 qp1->upoly = expand(qp1->upoly, exp1, div->n_col - div->n_row - 2);
1249 qp2->upoly = expand(qp2->upoly, exp2, div->n_col - div->n_row - 2);
1250
1251 if (!qp1->upoly || !qp2->upoly)
1252 goto error;
1253
1254 isl_mat_free(div);
1255 free(exp1);
1256 free(exp2);
1257
1258 return fn(qp1, qp2);
1259 error:
1260 isl_mat_free(div);
1261 free(exp1);
1262 free(exp2);
1263 isl_qpolynomial_free(qp1);
1264 isl_qpolynomial_free(qp2);
1265 return NULL;
1266 }
1267
1268 __isl_give isl_qpolynomial *isl_qpolynomial_add(__isl_take isl_qpolynomial *qp1,
1269 __isl_take isl_qpolynomial *qp2)
1270 {
1271 qp1 = isl_qpolynomial_cow(qp1);
1272
1273 if (!qp1 || !qp2)
1274 goto error;
1275
1276 if (qp1->div->n_row < qp2->div->n_row)
1277 return isl_qpolynomial_add(qp2, qp1);
1278
1279 isl_assert(qp1->dim->ctx, isl_dim_equal(qp1->dim, qp2->dim), goto error);
1280 if (!compatible_divs(qp1->div, qp2->div))
1281 return with_merged_divs(isl_qpolynomial_add, qp1, qp2);
1282
1283 qp1->upoly = isl_upoly_sum(qp1->upoly, isl_upoly_copy(qp2->upoly));
1284 if (!qp1->upoly)
1285 goto error;
1286
1287 isl_qpolynomial_free(qp2);
1288
1289 return qp1;
1290 error:
1291 isl_qpolynomial_free(qp1);
1292 isl_qpolynomial_free(qp2);
1293 return NULL;
1294 }
1295
1296 __isl_give isl_qpolynomial *isl_qpolynomial_add_on_domain(
1297 __isl_keep isl_set *dom,
1298 __isl_take isl_qpolynomial *qp1,
1299 __isl_take isl_qpolynomial *qp2)
1300 {
1301 return isl_qpolynomial_add(qp1, qp2);
1302 }
1303
1304 __isl_give isl_qpolynomial *isl_qpolynomial_sub(__isl_take isl_qpolynomial *qp1,
1305 __isl_take isl_qpolynomial *qp2)
1306 {
1307 return isl_qpolynomial_add(qp1, isl_qpolynomial_neg(qp2));
1308 }
1309
1310 __isl_give isl_qpolynomial *isl_qpolynomial_neg(__isl_take isl_qpolynomial *qp)
1311 {
1312 qp = isl_qpolynomial_cow(qp);
1313
1314 if (!qp)
1315 return NULL;
1316
1317 qp->upoly = isl_upoly_neg(qp->upoly);
1318 if (!qp->upoly)
1319 goto error;
1320
1321 return qp;
1322 error:
1323 isl_qpolynomial_free(qp);
1324 return NULL;
1325 }
1326
1327 __isl_give isl_qpolynomial *isl_qpolynomial_mul(__isl_take isl_qpolynomial *qp1,
1328 __isl_take isl_qpolynomial *qp2)
1329 {
1330 qp1 = isl_qpolynomial_cow(qp1);
1331
1332 if (!qp1 || !qp2)
1333 goto error;
1334
1335 if (qp1->div->n_row < qp2->div->n_row)
1336 return isl_qpolynomial_mul(qp2, qp1);
1337
1338 isl_assert(qp1->dim->ctx, isl_dim_equal(qp1->dim, qp2->dim), goto error);
1339 if (!compatible_divs(qp1->div, qp2->div))
1340 return with_merged_divs(isl_qpolynomial_mul, qp1, qp2);
1341
1342 qp1->upoly = isl_upoly_mul(qp1->upoly, isl_upoly_copy(qp2->upoly));
1343 if (!qp1->upoly)
1344 goto error;
1345
1346 isl_qpolynomial_free(qp2);
1347
1348 return qp1;
1349 error:
1350 isl_qpolynomial_free(qp1);
1351 isl_qpolynomial_free(qp2);
1352 return NULL;
1353 }
1354
1355 __isl_give isl_qpolynomial *isl_qpolynomial_zero(__isl_take isl_dim *dim)
1356 {
1357 return isl_qpolynomial_alloc(dim, 0, isl_upoly_zero(dim->ctx));
1358 }
1359
1360 __isl_give isl_qpolynomial *isl_qpolynomial_infty(__isl_take isl_dim *dim)
1361 {
1362 return isl_qpolynomial_alloc(dim, 0, isl_upoly_infty(dim->ctx));
1363 }
1364
1365 __isl_give isl_qpolynomial *isl_qpolynomial_neginfty(__isl_take isl_dim *dim)
1366 {
1367 return isl_qpolynomial_alloc(dim, 0, isl_upoly_neginfty(dim->ctx));
1368 }
1369
1370 __isl_give isl_qpolynomial *isl_qpolynomial_nan(__isl_take isl_dim *dim)
1371 {
1372 return isl_qpolynomial_alloc(dim, 0, isl_upoly_nan(dim->ctx));
1373 }
1374
1375 __isl_give isl_qpolynomial *isl_qpolynomial_cst(__isl_take isl_dim *dim,
1376 isl_int v)
1377 {
1378 struct isl_qpolynomial *qp;
1379 struct isl_upoly_cst *cst;
1380
1381 qp = isl_qpolynomial_alloc(dim, 0, isl_upoly_zero(dim->ctx));
1382 if (!qp)
1383 return NULL;
1384
1385 cst = isl_upoly_as_cst(qp->upoly);
1386 isl_int_set(cst->n, v);
1387
1388 return qp;
1389 }
1390
1391 int isl_qpolynomial_is_cst(__isl_keep isl_qpolynomial *qp,
1392 isl_int *n, isl_int *d)
1393 {
1394 struct isl_upoly_cst *cst;
1395
1396 if (!qp)
1397 return -1;
1398
1399 if (!isl_upoly_is_cst(qp->upoly))
1400 return 0;
1401
1402 cst = isl_upoly_as_cst(qp->upoly);
1403 if (!cst)
1404 return -1;
1405
1406 if (n)
1407 isl_int_set(*n, cst->n);
1408 if (d)
1409 isl_int_set(*d, cst->d);
1410
1411 return 1;
1412 }
1413
1414 int isl_upoly_is_affine(__isl_keep struct isl_upoly *up)
1415 {
1416 int is_cst;
1417 struct isl_upoly_rec *rec;
1418
1419 if (!up)
1420 return -1;
1421
1422 if (up->var < 0)
1423 return 1;
1424
1425 rec = isl_upoly_as_rec(up);
1426 if (!rec)
1427 return -1;
1428
1429 if (rec->n > 2)
1430 return 0;
1431
1432 isl_assert(up->ctx, rec->n > 1, return -1);
1433
1434 is_cst = isl_upoly_is_cst(rec->p[1]);
1435 if (is_cst < 0)
1436 return -1;
1437 if (!is_cst)
1438 return 0;
1439
1440 return isl_upoly_is_affine(rec->p[0]);
1441 }
1442
1443 int isl_qpolynomial_is_affine(__isl_keep isl_qpolynomial *qp)
1444 {
1445 if (!qp)
1446 return -1;
1447
1448 if (qp->div->n_row > 0)
1449 return 0;
1450
1451 return isl_upoly_is_affine(qp->upoly);
1452 }
1453
1454 static void update_coeff(__isl_keep isl_vec *aff,
1455 __isl_keep struct isl_upoly_cst *cst, int pos)
1456 {
1457 isl_int gcd;
1458 isl_int f;
1459
1460 if (isl_int_is_zero(cst->n))
1461 return;
1462
1463 isl_int_init(gcd);
1464 isl_int_init(f);
1465 isl_int_gcd(gcd, cst->d, aff->el[0]);
1466 isl_int_divexact(f, cst->d, gcd);
1467 isl_int_divexact(gcd, aff->el[0], gcd);
1468 isl_seq_scale(aff->el, aff->el, f, aff->size);
1469 isl_int_mul(aff->el[1 + pos], gcd, cst->n);
1470 isl_int_clear(gcd);
1471 isl_int_clear(f);
1472 }
1473
1474 int isl_upoly_update_affine(__isl_keep struct isl_upoly *up,
1475 __isl_keep isl_vec *aff)
1476 {
1477 struct isl_upoly_cst *cst;
1478 struct isl_upoly_rec *rec;
1479
1480 if (!up || !aff)
1481 return -1;
1482
1483 if (up->var < 0) {
1484 struct isl_upoly_cst *cst;
1485
1486 cst = isl_upoly_as_cst(up);
1487 if (!cst)
1488 return -1;
1489 update_coeff(aff, cst, 0);
1490 return 0;
1491 }
1492
1493 rec = isl_upoly_as_rec(up);
1494 if (!rec)
1495 return -1;
1496 isl_assert(up->ctx, rec->n == 2, return -1);
1497
1498 cst = isl_upoly_as_cst(rec->p[1]);
1499 if (!cst)
1500 return -1;
1501 update_coeff(aff, cst, 1 + up->var);
1502
1503 return isl_upoly_update_affine(rec->p[0], aff);
1504 }
1505
1506 __isl_give isl_vec *isl_qpolynomial_extract_affine(
1507 __isl_keep isl_qpolynomial *qp)
1508 {
1509 isl_vec *aff;
1510 unsigned d;
1511
1512 if (!qp)
1513 return NULL;
1514
1515 isl_assert(qp->div->ctx, qp->div->n_row == 0, return NULL);
1516 d = isl_dim_total(qp->dim);
1517 aff = isl_vec_alloc(qp->div->ctx, 2 + d);
1518 if (!aff)
1519 return NULL;
1520
1521 isl_seq_clr(aff->el + 1, 1 + d);
1522 isl_int_set_si(aff->el[0], 1);
1523
1524 if (isl_upoly_update_affine(qp->upoly, aff) < 0)
1525 goto error;
1526
1527 return aff;
1528 error:
1529 isl_vec_free(aff);
1530 return NULL;
1531 }
1532
1533 int isl_qpolynomial_is_equal(__isl_keep isl_qpolynomial *qp1,
1534 __isl_keep isl_qpolynomial *qp2)
1535 {
1536 if (!qp1 || !qp2)
1537 return -1;
1538
1539 return isl_upoly_is_equal(qp1->upoly, qp2->upoly);
1540 }
1541
1542 static void upoly_update_den(__isl_keep struct isl_upoly *up, isl_int *d)
1543 {
1544 int i;
1545 struct isl_upoly_rec *rec;
1546
1547 if (isl_upoly_is_cst(up)) {
1548 struct isl_upoly_cst *cst;
1549 cst = isl_upoly_as_cst(up);
1550 if (!cst)
1551 return;
1552 isl_int_lcm(*d, *d, cst->d);
1553 return;
1554 }
1555
1556 rec = isl_upoly_as_rec(up);
1557 if (!rec)
1558 return;
1559
1560 for (i = 0; i < rec->n; ++i)
1561 upoly_update_den(rec->p[i], d);
1562 }
1563
1564 void isl_qpolynomial_get_den(__isl_keep isl_qpolynomial *qp, isl_int *d)
1565 {
1566 isl_int_set_si(*d, 1);
1567 if (!qp)
1568 return;
1569 upoly_update_den(qp->upoly, d);
1570 }
1571
1572 __isl_give isl_qpolynomial *isl_qpolynomial_pow(__isl_take isl_dim *dim,
1573 int pos, int power)
1574 {
1575 struct isl_ctx *ctx;
1576
1577 if (!dim)
1578 return NULL;
1579
1580 ctx = dim->ctx;
1581
1582 return isl_qpolynomial_alloc(dim, 0, isl_upoly_pow(ctx, pos, power));
1583 }
1584
1585 __isl_give isl_qpolynomial *isl_qpolynomial_var(__isl_take isl_dim *dim,
1586 enum isl_dim_type type, unsigned pos)
1587 {
1588 if (!dim)
1589 return NULL;
1590
1591 isl_assert(dim->ctx, isl_dim_size(dim, isl_dim_in) == 0, goto error);
1592 isl_assert(dim->ctx, pos < isl_dim_size(dim, type), goto error);
1593
1594 if (type == isl_dim_set)
1595 pos += isl_dim_size(dim, isl_dim_param);
1596
1597 return isl_qpolynomial_pow(dim, pos, 1);
1598 error:
1599 isl_dim_free(dim);
1600 return NULL;
1601 }
1602
1603 __isl_give isl_qpolynomial *isl_qpolynomial_div_pow(__isl_take isl_div *div,
1604 int power)
1605 {
1606 struct isl_qpolynomial *qp = NULL;
1607 struct isl_upoly_rec *rec;
1608 struct isl_upoly_cst *cst;
1609 int i;
1610 int pos;
1611
1612 if (!div)
1613 return NULL;
1614 isl_assert(div->ctx, div->bmap->n_div == 1, goto error);
1615
1616 pos = isl_dim_total(div->bmap->dim);
1617 rec = isl_upoly_alloc_rec(div->ctx, pos, 1 + power);
1618 qp = isl_qpolynomial_alloc(isl_basic_map_get_dim(div->bmap), 1,
1619 &rec->up);
1620 if (!qp)
1621 goto error;
1622
1623 isl_seq_cpy(qp->div->row[0], div->line[0], qp->div->n_col - 1);
1624 isl_int_set_si(qp->div->row[0][qp->div->n_col - 1], 0);
1625
1626 for (i = 0; i < 1 + power; ++i) {
1627 rec->p[i] = isl_upoly_zero(div->ctx);
1628 if (!rec->p[i])
1629 goto error;
1630 rec->n++;
1631 }
1632 cst = isl_upoly_as_cst(rec->p[power]);
1633 isl_int_set_si(cst->n, 1);
1634
1635 isl_div_free(div);
1636
1637 return qp;
1638 error:
1639 isl_qpolynomial_free(qp);
1640 isl_div_free(div);
1641 return NULL;
1642 }
1643
1644 __isl_give isl_qpolynomial *isl_qpolynomial_div(__isl_take isl_div *div)
1645 {
1646 return isl_qpolynomial_div_pow(div, 1);
1647 }
1648
1649 __isl_give isl_qpolynomial *isl_qpolynomial_rat_cst(__isl_take isl_dim *dim,
1650 const isl_int n, const isl_int d)
1651 {
1652 struct isl_qpolynomial *qp;
1653 struct isl_upoly_cst *cst;
1654
1655 qp = isl_qpolynomial_alloc(dim, 0, isl_upoly_zero(dim->ctx));
1656 if (!qp)
1657 return NULL;
1658
1659 cst = isl_upoly_as_cst(qp->upoly);
1660 isl_int_set(cst->n, n);
1661 isl_int_set(cst->d, d);
1662
1663 return qp;
1664 }
1665
1666 static int up_set_active(__isl_keep struct isl_upoly *up, int *active, int d)
1667 {
1668 struct isl_upoly_rec *rec;
1669 int i;
1670
1671 if (!up)
1672 return -1;
1673
1674 if (isl_upoly_is_cst(up))
1675 return 0;
1676
1677 if (up->var < d)
1678 active[up->var] = 1;
1679
1680 rec = isl_upoly_as_rec(up);
1681 for (i = 0; i < rec->n; ++i)
1682 if (up_set_active(rec->p[i], active, d) < 0)
1683 return -1;
1684
1685 return 0;
1686 }
1687
1688 static int set_active(__isl_keep isl_qpolynomial *qp, int *active)
1689 {
1690 int i, j;
1691 int d = isl_dim_total(qp->dim);
1692
1693 if (!qp || !active)
1694 return -1;
1695
1696 for (i = 0; i < d; ++i)
1697 for (j = 0; j < qp->div->n_row; ++j) {
1698 if (isl_int_is_zero(qp->div->row[j][2 + i]))
1699 continue;
1700 active[i] = 1;
1701 break;
1702 }
1703
1704 return up_set_active(qp->upoly, active, d);
1705 }
1706
1707 int isl_qpolynomial_involves_dims(__isl_keep isl_qpolynomial *qp,
1708 enum isl_dim_type type, unsigned first, unsigned n)
1709 {
1710 int i;
1711 int *active = NULL;
1712 int involves = 0;
1713
1714 if (!qp)
1715 return -1;
1716 if (n == 0)
1717 return 0;
1718
1719 isl_assert(qp->dim->ctx, first + n <= isl_dim_size(qp->dim, type),
1720 return -1);
1721 isl_assert(qp->dim->ctx, type == isl_dim_param ||
1722 type == isl_dim_set, return -1);
1723
1724 active = isl_calloc_array(set->ctx, int, isl_dim_total(qp->dim));
1725 if (set_active(qp, active) < 0)
1726 goto error;
1727
1728 if (type == isl_dim_set)
1729 first += isl_dim_size(qp->dim, isl_dim_param);
1730 for (i = 0; i < n; ++i)
1731 if (active[first + i]) {
1732 involves = 1;
1733 break;
1734 }
1735
1736 free(active);
1737
1738 return involves;
1739 error:
1740 free(active);
1741 return -1;
1742 }
1743
1744 __isl_give struct isl_upoly *isl_upoly_drop(__isl_take struct isl_upoly *up,
1745 unsigned first, unsigned n)
1746 {
1747 int i;
1748 struct isl_upoly_rec *rec;
1749
1750 if (!up)
1751 return NULL;
1752 if (n == 0 || up->var < 0 || up->var < first)
1753 return up;
1754 if (up->var < first + n) {
1755 up = replace_by_constant_term(up);
1756 return isl_upoly_drop(up, first, n);
1757 }
1758 up = isl_upoly_cow(up);
1759 if (!up)
1760 return NULL;
1761 up->var -= n;
1762 rec = isl_upoly_as_rec(up);
1763 if (!rec)
1764 goto error;
1765
1766 for (i = 0; i < rec->n; ++i) {
1767 rec->p[i] = isl_upoly_drop(rec->p[i], first, n);
1768 if (!rec->p[i])
1769 goto error;
1770 }
1771
1772 return up;
1773 error:
1774 isl_upoly_free(up);
1775 return NULL;
1776 }
1777
1778 __isl_give isl_qpolynomial *isl_qpolynomial_drop_dims(
1779 __isl_take isl_qpolynomial *qp,
1780 enum isl_dim_type type, unsigned first, unsigned n)
1781 {
1782 if (!qp)
1783 return NULL;
1784 if (n == 0 && !isl_dim_get_tuple_name(qp->dim, type))
1785 return qp;
1786
1787 qp = isl_qpolynomial_cow(qp);
1788 if (!qp)
1789 return NULL;
1790
1791 isl_assert(qp->dim->ctx, first + n <= isl_dim_size(qp->dim, type),
1792 goto error);
1793 isl_assert(qp->dim->ctx, type == isl_dim_param ||
1794 type == isl_dim_set, goto error);
1795
1796 qp->dim = isl_dim_drop(qp->dim, type, first, n);
1797 if (!qp->dim)
1798 goto error;
1799
1800 if (type == isl_dim_set)
1801 first += isl_dim_size(qp->dim, isl_dim_param);
1802
1803 qp->div = isl_mat_drop_cols(qp->div, 2 + first, n);
1804 if (!qp->div)
1805 goto error;
1806
1807 qp->upoly = isl_upoly_drop(qp->upoly, first, n);
1808 if (!qp->upoly)
1809 goto error;
1810
1811 return qp;
1812 error:
1813 isl_qpolynomial_free(qp);
1814 return NULL;
1815 }
1816
1817 __isl_give struct isl_upoly *isl_upoly_subs(__isl_take struct isl_upoly *up,
1818 unsigned first, unsigned n, __isl_keep struct isl_upoly **subs)
1819 {
1820 int i;
1821 struct isl_upoly_rec *rec;
1822 struct isl_upoly *base, *res;
1823
1824 if (!up)
1825 return NULL;
1826
1827 if (isl_upoly_is_cst(up))
1828 return up;
1829
1830 if (up->var < first)
1831 return up;
1832
1833 rec = isl_upoly_as_rec(up);
1834 if (!rec)
1835 goto error;
1836
1837 isl_assert(up->ctx, rec->n >= 1, goto error);
1838
1839 if (up->var >= first + n)
1840 base = isl_upoly_pow(up->ctx, up->var, 1);
1841 else
1842 base = isl_upoly_copy(subs[up->var - first]);
1843
1844 res = isl_upoly_subs(isl_upoly_copy(rec->p[rec->n - 1]), first, n, subs);
1845 for (i = rec->n - 2; i >= 0; --i) {
1846 struct isl_upoly *t;
1847 t = isl_upoly_subs(isl_upoly_copy(rec->p[i]), first, n, subs);
1848 res = isl_upoly_mul(res, isl_upoly_copy(base));
1849 res = isl_upoly_sum(res, t);
1850 }
1851
1852 isl_upoly_free(base);
1853 isl_upoly_free(up);
1854
1855 return res;
1856 error:
1857 isl_upoly_free(up);
1858 return NULL;
1859 }
1860
1861 __isl_give struct isl_upoly *isl_upoly_from_affine(isl_ctx *ctx, isl_int *f,
1862 isl_int denom, unsigned len)
1863 {
1864 int i;
1865 struct isl_upoly *up;
1866
1867 isl_assert(ctx, len >= 1, return NULL);
1868
1869 up = isl_upoly_rat_cst(ctx, f[0], denom);
1870 for (i = 0; i < len - 1; ++i) {
1871 struct isl_upoly *t;
1872 struct isl_upoly *c;
1873
1874 if (isl_int_is_zero(f[1 + i]))
1875 continue;
1876
1877 c = isl_upoly_rat_cst(ctx, f[1 + i], denom);
1878 t = isl_upoly_pow(ctx, i, 1);
1879 t = isl_upoly_mul(c, t);
1880 up = isl_upoly_sum(up, t);
1881 }
1882
1883 return up;
1884 }
1885
1886 __isl_give isl_qpolynomial *isl_qpolynomial_substitute_equalities(
1887 __isl_take isl_qpolynomial *qp, __isl_take isl_basic_set *eq)
1888 {
1889 int i, j, k;
1890 isl_int denom;
1891 unsigned total;
1892 struct isl_upoly *up;
1893
1894 if (!eq)
1895 goto error;
1896 if (eq->n_eq == 0) {
1897 isl_basic_set_free(eq);
1898 return qp;
1899 }
1900
1901 qp = isl_qpolynomial_cow(qp);
1902 if (!qp)
1903 goto error;
1904 qp->div = isl_mat_cow(qp->div);
1905 if (!qp->div)
1906 goto error;
1907
1908 total = 1 + isl_dim_total(eq->dim);
1909 isl_int_init(denom);
1910 for (i = 0; i < eq->n_eq; ++i) {
1911 j = isl_seq_last_non_zero(eq->eq[i], total);
1912 if (j < 0 || j == 0)
1913 continue;
1914
1915 for (k = 0; k < qp->div->n_row; ++k) {
1916 if (isl_int_is_zero(qp->div->row[k][1 + j]))
1917 continue;
1918 isl_seq_elim(qp->div->row[k] + 1, eq->eq[i], j, total,
1919 &qp->div->row[k][0]);
1920 isl_seq_normalize(qp->div->ctx,
1921 qp->div->row[k], 1 + total);
1922 }
1923
1924 if (isl_int_is_pos(eq->eq[i][j]))
1925 isl_seq_neg(eq->eq[i], eq->eq[i], total);
1926 isl_int_abs(denom, eq->eq[i][j]);
1927 isl_int_set_si(eq->eq[i][j], 0);
1928
1929 up = isl_upoly_from_affine(qp->dim->ctx,
1930 eq->eq[i], denom, total);
1931 qp->upoly = isl_upoly_subs(qp->upoly, j - 1, 1, &up);
1932 isl_upoly_free(up);
1933 }
1934 isl_int_clear(denom);
1935
1936 if (!qp->upoly)
1937 goto error;
1938
1939 isl_basic_set_free(eq);
1940
1941 qp = sort_divs(qp);
1942
1943 return qp;
1944 error:
1945 isl_basic_set_free(eq);
1946 isl_qpolynomial_free(qp);
1947 return NULL;
1948 }
1949
1950 #undef PW
1951 #define PW isl_pw_qpolynomial
1952 #undef EL
1953 #define EL isl_qpolynomial
1954 #undef IS_ZERO
1955 #define IS_ZERO is_zero
1956 #undef FIELD
1957 #define FIELD qp
1958
1959 #include <isl_pw_templ.c>
1960
1961 #undef UNION
1962 #define UNION isl_union_pw_qpolynomial
1963 #undef PART
1964 #define PART isl_pw_qpolynomial
1965 #undef PARTS
1966 #define PARTS pw_qpolynomial
1967
1968 #include <isl_union_templ.c>
1969
1970 int isl_pw_qpolynomial_is_one(__isl_keep isl_pw_qpolynomial *pwqp)
1971 {
1972 if (!pwqp)
1973 return -1;
1974
1975 if (pwqp->n != -1)
1976 return 0;
1977
1978 if (!isl_set_fast_is_universe(pwqp->p[0].set))
1979 return 0;
1980
1981 return isl_qpolynomial_is_one(pwqp->p[0].qp);
1982 }
1983
1984 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_mul(
1985 __isl_take isl_pw_qpolynomial *pwqp1,
1986 __isl_take isl_pw_qpolynomial *pwqp2)
1987 {
1988 int i, j, n;
1989 struct isl_pw_qpolynomial *res;
1990 isl_set *set;
1991
1992 if (!pwqp1 || !pwqp2)
1993 goto error;
1994
1995 isl_assert(pwqp1->dim->ctx, isl_dim_equal(pwqp1->dim, pwqp2->dim),
1996 goto error);
1997
1998 if (isl_pw_qpolynomial_is_zero(pwqp1)) {
1999 isl_pw_qpolynomial_free(pwqp2);
2000 return pwqp1;
2001 }
2002
2003 if (isl_pw_qpolynomial_is_zero(pwqp2)) {
2004 isl_pw_qpolynomial_free(pwqp1);
2005 return pwqp2;
2006 }
2007
2008 if (isl_pw_qpolynomial_is_one(pwqp1)) {
2009 isl_pw_qpolynomial_free(pwqp1);
2010 return pwqp2;
2011 }
2012
2013 if (isl_pw_qpolynomial_is_one(pwqp2)) {
2014 isl_pw_qpolynomial_free(pwqp2);
2015 return pwqp1;
2016 }
2017
2018 n = pwqp1->n * pwqp2->n;
2019 res = isl_pw_qpolynomial_alloc_(isl_dim_copy(pwqp1->dim), n);
2020
2021 for (i = 0; i < pwqp1->n; ++i) {
2022 for (j = 0; j < pwqp2->n; ++j) {
2023 struct isl_set *common;
2024 struct isl_qpolynomial *prod;
2025 common = isl_set_intersect(isl_set_copy(pwqp1->p[i].set),
2026 isl_set_copy(pwqp2->p[j].set));
2027 if (isl_set_fast_is_empty(common)) {
2028 isl_set_free(common);
2029 continue;
2030 }
2031
2032 prod = isl_qpolynomial_mul(
2033 isl_qpolynomial_copy(pwqp1->p[i].qp),
2034 isl_qpolynomial_copy(pwqp2->p[j].qp));
2035
2036 res = isl_pw_qpolynomial_add_piece(res, common, prod);
2037 }
2038 }
2039
2040 isl_pw_qpolynomial_free(pwqp1);
2041 isl_pw_qpolynomial_free(pwqp2);
2042
2043 return res;
2044 error:
2045 isl_pw_qpolynomial_free(pwqp1);
2046 isl_pw_qpolynomial_free(pwqp2);
2047 return NULL;
2048 }
2049
2050 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_neg(
2051 __isl_take isl_pw_qpolynomial *pwqp)
2052 {
2053 int i, j, n;
2054 struct isl_pw_qpolynomial *res;
2055 isl_set *set;
2056
2057 if (!pwqp)
2058 return NULL;
2059
2060 if (isl_pw_qpolynomial_is_zero(pwqp))
2061 return pwqp;
2062
2063 pwqp = isl_pw_qpolynomial_cow(pwqp);
2064
2065 for (i = 0; i < pwqp->n; ++i) {
2066 pwqp->p[i].qp = isl_qpolynomial_neg(pwqp->p[i].qp);
2067 if (!pwqp->p[i].qp)
2068 goto error;
2069 }
2070
2071 return pwqp;
2072 error:
2073 isl_pw_qpolynomial_free(pwqp);
2074 return NULL;
2075 }
2076
2077 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_sub(
2078 __isl_take isl_pw_qpolynomial *pwqp1,
2079 __isl_take isl_pw_qpolynomial *pwqp2)
2080 {
2081 return isl_pw_qpolynomial_add(pwqp1, isl_pw_qpolynomial_neg(pwqp2));
2082 }
2083
2084 __isl_give struct isl_upoly *isl_upoly_eval(
2085 __isl_take struct isl_upoly *up, __isl_take isl_vec *vec)
2086 {
2087 int i;
2088 struct isl_upoly_rec *rec;
2089 struct isl_upoly *res;
2090 struct isl_upoly *base;
2091
2092 if (isl_upoly_is_cst(up)) {
2093 isl_vec_free(vec);
2094 return up;
2095 }
2096
2097 rec = isl_upoly_as_rec(up);
2098 if (!rec)
2099 goto error;
2100
2101 isl_assert(up->ctx, rec->n >= 1, goto error);
2102
2103 base = isl_upoly_rat_cst(up->ctx, vec->el[1 + up->var], vec->el[0]);
2104
2105 res = isl_upoly_eval(isl_upoly_copy(rec->p[rec->n - 1]),
2106 isl_vec_copy(vec));
2107
2108 for (i = rec->n - 2; i >= 0; --i) {
2109 res = isl_upoly_mul(res, isl_upoly_copy(base));
2110 res = isl_upoly_sum(res,
2111 isl_upoly_eval(isl_upoly_copy(rec->p[i]),
2112 isl_vec_copy(vec)));
2113 }
2114
2115 isl_upoly_free(base);
2116 isl_upoly_free(up);
2117 isl_vec_free(vec);
2118 return res;
2119 error:
2120 isl_upoly_free(up);
2121 isl_vec_free(vec);
2122 return NULL;
2123 }
2124
2125 __isl_give isl_qpolynomial *isl_qpolynomial_eval(
2126 __isl_take isl_qpolynomial *qp, __isl_take isl_point *pnt)
2127 {
2128 isl_vec *ext;
2129 struct isl_upoly *up;
2130 isl_dim *dim;
2131
2132 if (!qp || !pnt)
2133 goto error;
2134 isl_assert(pnt->dim->ctx, isl_dim_equal(pnt->dim, qp->dim), goto error);
2135
2136 if (qp->div->n_row == 0)
2137 ext = isl_vec_copy(pnt->vec);
2138 else {
2139 int i;
2140 unsigned dim = isl_dim_total(qp->dim);
2141 ext = isl_vec_alloc(qp->dim->ctx, 1 + dim + qp->div->n_row);
2142 if (!ext)
2143 goto error;
2144
2145 isl_seq_cpy(ext->el, pnt->vec->el, pnt->vec->size);
2146 for (i = 0; i < qp->div->n_row; ++i) {
2147 isl_seq_inner_product(qp->div->row[i] + 1, ext->el,
2148 1 + dim + i, &ext->el[1+dim+i]);
2149 isl_int_fdiv_q(ext->el[1+dim+i], ext->el[1+dim+i],
2150 qp->div->row[i][0]);
2151 }
2152 }
2153
2154 up = isl_upoly_eval(isl_upoly_copy(qp->upoly), ext);
2155 if (!up)
2156 goto error;
2157
2158 dim = isl_dim_copy(qp->dim);
2159 isl_qpolynomial_free(qp);
2160 isl_point_free(pnt);
2161
2162 return isl_qpolynomial_alloc(dim, 0, up);
2163 error:
2164 isl_qpolynomial_free(qp);
2165 isl_point_free(pnt);
2166 return NULL;
2167 }
2168
2169 int isl_upoly_cmp(__isl_keep struct isl_upoly_cst *cst1,
2170 __isl_keep struct isl_upoly_cst *cst2)
2171 {
2172 int cmp;
2173 isl_int t;
2174 isl_int_init(t);
2175 isl_int_mul(t, cst1->n, cst2->d);
2176 isl_int_submul(t, cst2->n, cst1->d);
2177 cmp = isl_int_sgn(t);
2178 isl_int_clear(t);
2179 return cmp;
2180 }
2181
2182 int isl_qpolynomial_le_cst(__isl_keep isl_qpolynomial *qp1,
2183 __isl_keep isl_qpolynomial *qp2)
2184 {
2185 struct isl_upoly_cst *cst1, *cst2;
2186
2187 if (!qp1 || !qp2)
2188 return -1;
2189 isl_assert(qp1->dim->ctx, isl_upoly_is_cst(qp1->upoly), return -1);
2190 isl_assert(qp2->dim->ctx, isl_upoly_is_cst(qp2->upoly), return -1);
2191 if (isl_qpolynomial_is_nan(qp1))
2192 return -1;
2193 if (isl_qpolynomial_is_nan(qp2))
2194 return -1;
2195 cst1 = isl_upoly_as_cst(qp1->upoly);
2196 cst2 = isl_upoly_as_cst(qp2->upoly);
2197
2198 return isl_upoly_cmp(cst1, cst2) <= 0;
2199 }
2200
2201 __isl_give isl_qpolynomial *isl_qpolynomial_min_cst(
2202 __isl_take isl_qpolynomial *qp1, __isl_take isl_qpolynomial *qp2)
2203 {
2204 struct isl_upoly_cst *cst1, *cst2;
2205 int cmp;
2206
2207 if (!qp1 || !qp2)
2208 goto error;
2209 isl_assert(qp1->dim->ctx, isl_upoly_is_cst(qp1->upoly), goto error);
2210 isl_assert(qp2->dim->ctx, isl_upoly_is_cst(qp2->upoly), goto error);
2211 cst1 = isl_upoly_as_cst(qp1->upoly);
2212 cst2 = isl_upoly_as_cst(qp2->upoly);
2213 cmp = isl_upoly_cmp(cst1, cst2);
2214
2215 if (cmp <= 0) {
2216 isl_qpolynomial_free(qp2);
2217 } else {
2218 isl_qpolynomial_free(qp1);
2219 qp1 = qp2;
2220 }
2221 return qp1;
2222 error:
2223 isl_qpolynomial_free(qp1);
2224 isl_qpolynomial_free(qp2);
2225 return NULL;
2226 }
2227
2228 __isl_give isl_qpolynomial *isl_qpolynomial_max_cst(
2229 __isl_take isl_qpolynomial *qp1, __isl_take isl_qpolynomial *qp2)
2230 {
2231 struct isl_upoly_cst *cst1, *cst2;
2232 int cmp;
2233
2234 if (!qp1 || !qp2)
2235 goto error;
2236 isl_assert(qp1->dim->ctx, isl_upoly_is_cst(qp1->upoly), goto error);
2237 isl_assert(qp2->dim->ctx, isl_upoly_is_cst(qp2->upoly), goto error);
2238 cst1 = isl_upoly_as_cst(qp1->upoly);
2239 cst2 = isl_upoly_as_cst(qp2->upoly);
2240 cmp = isl_upoly_cmp(cst1, cst2);
2241
2242 if (cmp >= 0) {
2243 isl_qpolynomial_free(qp2);
2244 } else {
2245 isl_qpolynomial_free(qp1);
2246 qp1 = qp2;
2247 }
2248 return qp1;
2249 error:
2250 isl_qpolynomial_free(qp1);
2251 isl_qpolynomial_free(qp2);
2252 return NULL;
2253 }
2254
2255 __isl_give isl_qpolynomial *isl_qpolynomial_insert_dims(
2256 __isl_take isl_qpolynomial *qp, enum isl_dim_type type,
2257 unsigned first, unsigned n)
2258 {
2259 unsigned total;
2260 unsigned g_pos;
2261 int *exp;
2262
2263 if (n == 0)
2264 return qp;
2265
2266 qp = isl_qpolynomial_cow(qp);
2267 if (!qp)
2268 return NULL;
2269
2270 isl_assert(qp->div->ctx, first <= isl_dim_size(qp->dim, type),
2271 goto error);
2272
2273 g_pos = pos(qp->dim, type) + first;
2274
2275 qp->div = isl_mat_insert_cols(qp->div, 2 + g_pos, n);
2276 if (!qp->div)
2277 goto error;
2278
2279 total = qp->div->n_col - 2;
2280 if (total > g_pos) {
2281 int i;
2282 exp = isl_alloc_array(qp->div->ctx, int, total - g_pos);
2283 if (!exp)
2284 goto error;
2285 for (i = 0; i < total - g_pos; ++i)
2286 exp[i] = i + n;
2287 qp->upoly = expand(qp->upoly, exp, g_pos);
2288 free(exp);
2289 if (!qp->upoly)
2290 goto error;
2291 }
2292
2293 qp->dim = isl_dim_insert(qp->dim, type, first, n);
2294 if (!qp->dim)
2295 goto error;
2296
2297 return qp;
2298 error:
2299 isl_qpolynomial_free(qp);
2300 return NULL;
2301 }
2302
2303 __isl_give isl_qpolynomial *isl_qpolynomial_add_dims(
2304 __isl_take isl_qpolynomial *qp, enum isl_dim_type type, unsigned n)
2305 {
2306 unsigned pos;
2307
2308 pos = isl_qpolynomial_dim(qp, type);
2309
2310 return isl_qpolynomial_insert_dims(qp, type, pos, n);
2311 }
2312
2313 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_insert_dims(
2314 __isl_take isl_pw_qpolynomial *pwqp, enum isl_dim_type type,
2315 unsigned first, unsigned n)
2316 {
2317 int i;
2318
2319 if (n == 0)
2320 return pwqp;
2321
2322 pwqp = isl_pw_qpolynomial_cow(pwqp);
2323 if (!pwqp)
2324 return NULL;
2325
2326 pwqp->dim = isl_dim_insert(pwqp->dim, type, first, n);
2327 if (!pwqp->dim)
2328 goto error;
2329
2330 for (i = 0; i < pwqp->n; ++i) {
2331 pwqp->p[i].set = isl_set_insert(pwqp->p[i].set, type, first, n);
2332 if (!pwqp->p[i].set)
2333 goto error;
2334 pwqp->p[i].qp = isl_qpolynomial_insert_dims(pwqp->p[i].qp,
2335 type, first, n);
2336 if (!pwqp->p[i].qp)
2337 goto error;
2338 }
2339
2340 return pwqp;
2341 error:
2342 isl_pw_qpolynomial_free(pwqp);
2343 return NULL;
2344 }
2345
2346 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_add_dims(
2347 __isl_take isl_pw_qpolynomial *pwqp,
2348 enum isl_dim_type type, unsigned n)
2349 {
2350 unsigned pos;
2351
2352 pos = isl_pw_qpolynomial_dim(pwqp, type);
2353
2354 return isl_pw_qpolynomial_insert_dims(pwqp, type, pos, n);
2355 }
2356
2357 static int *reordering_move(isl_ctx *ctx,
2358 unsigned len, unsigned dst, unsigned src, unsigned n)
2359 {
2360 int i;
2361 int *reordering;
2362
2363 reordering = isl_alloc_array(ctx, int, len);
2364 if (!reordering)
2365 return NULL;
2366
2367 if (dst <= src) {
2368 for (i = 0; i < dst; ++i)
2369 reordering[i] = i;
2370 for (i = 0; i < n; ++i)
2371 reordering[src + i] = dst + i;
2372 for (i = 0; i < src - dst; ++i)
2373 reordering[dst + i] = dst + n + i;
2374 for (i = 0; i < len - src - n; ++i)
2375 reordering[src + n + i] = src + n + i;
2376 } else {
2377 for (i = 0; i < src; ++i)
2378 reordering[i] = i;
2379 for (i = 0; i < n; ++i)
2380 reordering[src + i] = dst + i;
2381 for (i = 0; i < dst - src; ++i)
2382 reordering[src + n + i] = src + i;
2383 for (i = 0; i < len - dst - n; ++i)
2384 reordering[dst + n + i] = dst + n + i;
2385 }
2386
2387 return reordering;
2388 }
2389
2390 __isl_give isl_qpolynomial *isl_qpolynomial_move_dims(
2391 __isl_take isl_qpolynomial *qp,
2392 enum isl_dim_type dst_type, unsigned dst_pos,
2393 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
2394 {
2395 unsigned g_dst_pos;
2396 unsigned g_src_pos;
2397 int *reordering;
2398
2399 qp = isl_qpolynomial_cow(qp);
2400 if (!qp)
2401 return NULL;
2402
2403 isl_assert(qp->dim->ctx, src_pos + n <= isl_dim_size(qp->dim, src_type),
2404 goto error);
2405
2406 g_dst_pos = pos(qp->dim, dst_type) + dst_pos;
2407 g_src_pos = pos(qp->dim, src_type) + src_pos;
2408 if (dst_type > src_type)
2409 g_dst_pos -= n;
2410
2411 qp->div = isl_mat_move_cols(qp->div, 2 + g_dst_pos, 2 + g_src_pos, n);
2412 if (!qp->div)
2413 goto error;
2414 qp = sort_divs(qp);
2415 if (!qp)
2416 goto error;
2417
2418 reordering = reordering_move(qp->dim->ctx,
2419 qp->div->n_col - 2, g_dst_pos, g_src_pos, n);
2420 if (!reordering)
2421 goto error;
2422
2423 qp->upoly = reorder(qp->upoly, reordering);
2424 free(reordering);
2425 if (!qp->upoly)
2426 goto error;
2427
2428 qp->dim = isl_dim_move(qp->dim, dst_type, dst_pos, src_type, src_pos, n);
2429 if (!qp->dim)
2430 goto error;
2431
2432 return qp;
2433 error:
2434 isl_qpolynomial_free(qp);
2435 return NULL;
2436 }
2437
2438 __isl_give isl_qpolynomial *isl_qpolynomial_from_affine(__isl_take isl_dim *dim,
2439 isl_int *f, isl_int denom)
2440 {
2441 struct isl_upoly *up;
2442
2443 if (!dim)
2444 return NULL;
2445
2446 up = isl_upoly_from_affine(dim->ctx, f, denom, 1 + isl_dim_total(dim));
2447
2448 return isl_qpolynomial_alloc(dim, 0, up);
2449 }
2450
2451 __isl_give isl_qpolynomial *isl_qpolynomial_from_constraint(
2452 __isl_take isl_constraint *c, enum isl_dim_type type, unsigned pos)
2453 {
2454 isl_int denom;
2455 isl_dim *dim;
2456 struct isl_upoly *up;
2457 isl_qpolynomial *qp;
2458 int sgn;
2459
2460 if (!c)
2461 return NULL;
2462
2463 isl_int_init(denom);
2464
2465 isl_constraint_get_coefficient(c, type, pos, &denom);
2466 isl_constraint_set_coefficient(c, type, pos, c->ctx->zero);
2467 sgn = isl_int_sgn(denom);
2468 isl_int_abs(denom, denom);
2469 up = isl_upoly_from_affine(c->ctx, c->line[0], denom,
2470 1 + isl_constraint_dim(c, isl_dim_all));
2471 if (sgn < 0)
2472 isl_int_neg(denom, denom);
2473 isl_constraint_set_coefficient(c, type, pos, denom);
2474
2475 dim = isl_dim_copy(c->bmap->dim);
2476
2477 isl_int_clear(denom);
2478 isl_constraint_free(c);
2479
2480 qp = isl_qpolynomial_alloc(dim, 0, up);
2481 if (sgn > 0)
2482 qp = isl_qpolynomial_neg(qp);
2483 return qp;
2484 }
2485
2486 /* For each 0 <= i < "n", replace variable "first" + i of type "type"
2487 * in "qp" by subs[i].
2488 */
2489 __isl_give isl_qpolynomial *isl_qpolynomial_substitute(
2490 __isl_take isl_qpolynomial *qp,
2491 enum isl_dim_type type, unsigned first, unsigned n,
2492 __isl_keep isl_qpolynomial **subs)
2493 {
2494 int i;
2495 struct isl_upoly **ups;
2496
2497 if (n == 0)
2498 return qp;
2499
2500 qp = isl_qpolynomial_cow(qp);
2501 if (!qp)
2502 return NULL;
2503 for (i = 0; i < n; ++i)
2504 if (!subs[i])
2505 goto error;
2506
2507 isl_assert(qp->dim->ctx, first + n <= isl_dim_size(qp->dim, type),
2508 goto error);
2509
2510 for (i = 0; i < n; ++i)
2511 isl_assert(qp->dim->ctx, isl_dim_equal(qp->dim, subs[i]->dim),
2512 goto error);
2513
2514 isl_assert(qp->dim->ctx, qp->div->n_row == 0, goto error);
2515 for (i = 0; i < n; ++i)
2516 isl_assert(qp->dim->ctx, subs[i]->div->n_row == 0, goto error);
2517
2518 first += pos(qp->dim, type);
2519
2520 ups = isl_alloc_array(qp->dim->ctx, struct isl_upoly *, n);
2521 if (!ups)
2522 goto error;
2523 for (i = 0; i < n; ++i)
2524 ups[i] = subs[i]->upoly;
2525
2526 qp->upoly = isl_upoly_subs(qp->upoly, first, n, ups);
2527
2528 free(ups);
2529
2530 if (!qp->upoly)
2531 goto error;
2532
2533 return qp;
2534 error:
2535 isl_qpolynomial_free(qp);
2536 return NULL;
2537 }
2538
2539 __isl_give isl_basic_set *add_div_constraints(__isl_take isl_basic_set *bset,
2540 __isl_take isl_mat *div)
2541 {
2542 int i;
2543 unsigned total;
2544
2545 if (!bset || !div)
2546 goto error;
2547
2548 bset = isl_basic_set_extend_constraints(bset, 0, 2 * div->n_row);
2549 if (!bset)
2550 goto error;
2551 total = isl_basic_set_total_dim(bset);
2552 for (i = 0; i < div->n_row; ++i)
2553 if (isl_basic_set_add_div_constraints_var(bset,
2554 total - div->n_row + i, div->row[i]) < 0)
2555 goto error;
2556
2557 isl_mat_free(div);
2558 return bset;
2559 error:
2560 isl_mat_free(div);
2561 isl_basic_set_free(bset);
2562 return NULL;
2563 }
2564
2565 /* Extend "bset" with extra set dimensions for each integer division
2566 * in "qp" and then call "fn" with the extended bset and the polynomial
2567 * that results from replacing each of the integer divisions by the
2568 * corresponding extra set dimension.
2569 */
2570 int isl_qpolynomial_as_polynomial_on_domain(__isl_keep isl_qpolynomial *qp,
2571 __isl_keep isl_basic_set *bset,
2572 int (*fn)(__isl_take isl_basic_set *bset,
2573 __isl_take isl_qpolynomial *poly, void *user), void *user)
2574 {
2575 isl_dim *dim;
2576 isl_mat *div;
2577 isl_qpolynomial *poly;
2578
2579 if (!qp || !bset)
2580 goto error;
2581 if (qp->div->n_row == 0)
2582 return fn(isl_basic_set_copy(bset), isl_qpolynomial_copy(qp),
2583 user);
2584
2585 div = isl_mat_copy(qp->div);
2586 dim = isl_dim_copy(qp->dim);
2587 dim = isl_dim_add(dim, isl_dim_set, qp->div->n_row);
2588 poly = isl_qpolynomial_alloc(dim, 0, isl_upoly_copy(qp->upoly));
2589 bset = isl_basic_set_copy(bset);
2590 bset = isl_basic_set_add(bset, isl_dim_set, qp->div->n_row);
2591 bset = add_div_constraints(bset, div);
2592
2593 return fn(bset, poly, user);
2594 error:
2595 return -1;
2596 }
2597
2598 /* Return total degree in variables first (inclusive) up to last (exclusive).
2599 */
2600 int isl_upoly_degree(__isl_keep struct isl_upoly *up, int first, int last)
2601 {
2602 int deg = -1;
2603 int i;
2604 struct isl_upoly_rec *rec;
2605
2606 if (!up)
2607 return -2;
2608 if (isl_upoly_is_zero(up))
2609 return -1;
2610 if (isl_upoly_is_cst(up) || up->var < first)
2611 return 0;
2612
2613 rec = isl_upoly_as_rec(up);
2614 if (!rec)
2615 return -2;
2616
2617 for (i = 0; i < rec->n; ++i) {
2618 int d;
2619
2620 if (isl_upoly_is_zero(rec->p[i]))
2621 continue;
2622 d = isl_upoly_degree(rec->p[i], first, last);
2623 if (up->var < last)
2624 d += i;
2625 if (d > deg)
2626 deg = d;
2627 }
2628
2629 return deg;
2630 }
2631
2632 /* Return total degree in set variables.
2633 */
2634 int isl_qpolynomial_degree(__isl_keep isl_qpolynomial *poly)
2635 {
2636 unsigned ovar;
2637 unsigned nvar;
2638
2639 if (!poly)
2640 return -2;
2641
2642 ovar = isl_dim_offset(poly->dim, isl_dim_set);
2643 nvar = isl_dim_size(poly->dim, isl_dim_set);
2644 return isl_upoly_degree(poly->upoly, ovar, ovar + nvar);
2645 }
2646
2647 __isl_give struct isl_upoly *isl_upoly_coeff(__isl_keep struct isl_upoly *up,
2648 unsigned pos, int deg)
2649 {
2650 int i;
2651 struct isl_upoly_rec *rec;
2652
2653 if (!up)
2654 return NULL;
2655
2656 if (isl_upoly_is_cst(up) || up->var < pos) {
2657 if (deg == 0)
2658 return isl_upoly_copy(up);
2659 else
2660 return isl_upoly_zero(up->ctx);
2661 }
2662
2663 rec = isl_upoly_as_rec(up);
2664 if (!rec)
2665 return NULL;
2666
2667 if (up->var == pos) {
2668 if (deg < rec->n)
2669 return isl_upoly_copy(rec->p[deg]);
2670 else
2671 return isl_upoly_zero(up->ctx);
2672 }
2673
2674 up = isl_upoly_copy(up);
2675 up = isl_upoly_cow(up);
2676 rec = isl_upoly_as_rec(up);
2677 if (!rec)
2678 goto error;
2679
2680 for (i = 0; i < rec->n; ++i) {
2681 struct isl_upoly *t;
2682 t = isl_upoly_coeff(rec->p[i], pos, deg);
2683 if (!t)
2684 goto error;
2685 isl_upoly_free(rec->p[i]);
2686 rec->p[i] = t;
2687 }
2688
2689 return up;
2690 error:
2691 isl_upoly_free(up);
2692 return NULL;
2693 }
2694
2695 /* Return coefficient of power "deg" of variable "t_pos" of type "type".
2696 */
2697 __isl_give isl_qpolynomial *isl_qpolynomial_coeff(
2698 __isl_keep isl_qpolynomial *qp,
2699 enum isl_dim_type type, unsigned t_pos, int deg)
2700 {
2701 unsigned g_pos;
2702 struct isl_upoly *up;
2703 isl_qpolynomial *c;
2704
2705 if (!qp)
2706 return NULL;
2707
2708 isl_assert(qp->div->ctx, t_pos < isl_dim_size(qp->dim, type),
2709 return NULL);
2710
2711 g_pos = pos(qp->dim, type) + t_pos;
2712 up = isl_upoly_coeff(qp->upoly, g_pos, deg);
2713
2714 c = isl_qpolynomial_alloc(isl_dim_copy(qp->dim), qp->div->n_row, up);
2715 if (!c)
2716 return NULL;
2717 isl_mat_free(c->div);
2718 c->div = isl_mat_copy(qp->div);
2719 if (!c->div)
2720 goto error;
2721 return c;
2722 error:
2723 isl_qpolynomial_free(c);
2724 return NULL;
2725 }
2726
2727 /* Homogenize the polynomial in the variables first (inclusive) up to
2728 * last (exclusive) by inserting powers of variable first.
2729 * Variable first is assumed not to appear in the input.
2730 */
2731 __isl_give struct isl_upoly *isl_upoly_homogenize(
2732 __isl_take struct isl_upoly *up, int deg, int target,
2733 int first, int last)
2734 {
2735 int i;
2736 struct isl_upoly_rec *rec;
2737
2738 if (!up)
2739 return NULL;
2740 if (isl_upoly_is_zero(up))
2741 return up;
2742 if (deg == target)
2743 return up;
2744 if (isl_upoly_is_cst(up) || up->var < first) {
2745 struct isl_upoly *hom;
2746
2747 hom = isl_upoly_pow(up->ctx, first, target - deg);
2748 if (!hom)
2749 goto error;
2750 rec = isl_upoly_as_rec(hom);
2751 rec->p[target - deg] = isl_upoly_mul(rec->p[target - deg], up);
2752
2753 return hom;
2754 }
2755
2756 up = isl_upoly_cow(up);
2757 rec = isl_upoly_as_rec(up);
2758 if (!rec)
2759 goto error;
2760
2761 for (i = 0; i < rec->n; ++i) {
2762 if (isl_upoly_is_zero(rec->p[i]))
2763 continue;
2764 rec->p[i] = isl_upoly_homogenize(rec->p[i],
2765 up->var < last ? deg + i : i, target,
2766 first, last);
2767 if (!rec->p[i])
2768 goto error;
2769 }
2770
2771 return up;
2772 error:
2773 isl_upoly_free(up);
2774 return NULL;
2775 }
2776
2777 /* Homogenize the polynomial in the set variables by introducing
2778 * powers of an extra set variable at position 0.
2779 */
2780 __isl_give isl_qpolynomial *isl_qpolynomial_homogenize(
2781 __isl_take isl_qpolynomial *poly)
2782 {
2783 unsigned ovar;
2784 unsigned nvar;
2785 int deg = isl_qpolynomial_degree(poly);
2786
2787 if (deg < -1)
2788 goto error;
2789
2790 poly = isl_qpolynomial_insert_dims(poly, isl_dim_set, 0, 1);
2791 poly = isl_qpolynomial_cow(poly);
2792 if (!poly)
2793 goto error;
2794
2795 ovar = isl_dim_offset(poly->dim, isl_dim_set);
2796 nvar = isl_dim_size(poly->dim, isl_dim_set);
2797 poly->upoly = isl_upoly_homogenize(poly->upoly, 0, deg,
2798 ovar, ovar + nvar);
2799 if (!poly->upoly)
2800 goto error;
2801
2802 return poly;
2803 error:
2804 isl_qpolynomial_free(poly);
2805 return NULL;
2806 }
2807
2808 __isl_give isl_term *isl_term_alloc(__isl_take isl_dim *dim,
2809 __isl_take isl_mat *div)
2810 {
2811 isl_term *term;
2812 int n;
2813
2814 if (!dim || !div)
2815 goto error;
2816
2817 n = isl_dim_total(dim) + div->n_row;
2818
2819 term = isl_calloc(dim->ctx, struct isl_term,
2820 sizeof(struct isl_term) + (n - 1) * sizeof(int));
2821 if (!term)
2822 goto error;
2823
2824 term->ref = 1;
2825 term->dim = dim;
2826 term->div = div;
2827 isl_int_init(term->n);
2828 isl_int_init(term->d);
2829
2830 return term;
2831 error:
2832 isl_dim_free(dim);
2833 isl_mat_free(div);
2834 return NULL;
2835 }
2836
2837 __isl_give isl_term *isl_term_copy(__isl_keep isl_term *term)
2838 {
2839 if (!term)
2840 return NULL;
2841
2842 term->ref++;
2843 return term;
2844 }
2845
2846 __isl_give isl_term *isl_term_dup(__isl_keep isl_term *term)
2847 {
2848 int i;
2849 isl_term *dup;
2850 unsigned total;
2851
2852 if (term)
2853 return NULL;
2854
2855 total = isl_dim_total(term->dim) + term->div->n_row;
2856
2857 dup = isl_term_alloc(isl_dim_copy(term->dim), isl_mat_copy(term->div));
2858 if (!dup)
2859 return NULL;
2860
2861 isl_int_set(dup->n, term->n);
2862 isl_int_set(dup->d, term->d);
2863
2864 for (i = 0; i < total; ++i)
2865 dup->pow[i] = term->pow[i];
2866
2867 return dup;
2868 }
2869
2870 __isl_give isl_term *isl_term_cow(__isl_take isl_term *term)
2871 {
2872 if (!term)
2873 return NULL;
2874
2875 if (term->ref == 1)
2876 return term;
2877 term->ref--;
2878 return isl_term_dup(term);
2879 }
2880
2881 void isl_term_free(__isl_take isl_term *term)
2882 {
2883 if (!term)
2884 return;
2885
2886 if (--term->ref > 0)
2887 return;
2888
2889 isl_dim_free(term->dim);
2890 isl_mat_free(term->div);
2891 isl_int_clear(term->n);
2892 isl_int_clear(term->d);
2893 free(term);
2894 }
2895
2896 unsigned isl_term_dim(__isl_keep isl_term *term, enum isl_dim_type type)
2897 {
2898 if (!term)
2899 return 0;
2900
2901 switch (type) {
2902 case isl_dim_param:
2903 case isl_dim_in:
2904 case isl_dim_out: return isl_dim_size(term->dim, type);
2905 case isl_dim_div: return term->div->n_row;
2906 case isl_dim_all: return isl_dim_total(term->dim) + term->div->n_row;
2907 default: return 0;
2908 }
2909 }
2910
2911 isl_ctx *isl_term_get_ctx(__isl_keep isl_term *term)
2912 {
2913 return term ? term->dim->ctx : NULL;
2914 }
2915
2916 void isl_term_get_num(__isl_keep isl_term *term, isl_int *n)
2917 {
2918 if (!term)
2919 return;
2920 isl_int_set(*n, term->n);
2921 }
2922
2923 void isl_term_get_den(__isl_keep isl_term *term, isl_int *d)
2924 {
2925 if (!term)
2926 return;
2927 isl_int_set(*d, term->d);
2928 }
2929
2930 int isl_term_get_exp(__isl_keep isl_term *term,
2931 enum isl_dim_type type, unsigned pos)
2932 {
2933 if (!term)
2934 return -1;
2935
2936 isl_assert(term->dim->ctx, pos < isl_term_dim(term, type), return -1);
2937
2938 if (type >= isl_dim_set)
2939 pos += isl_dim_size(term->dim, isl_dim_param);
2940 if (type >= isl_dim_div)
2941 pos += isl_dim_size(term->dim, isl_dim_set);
2942
2943 return term->pow[pos];
2944 }
2945
2946 __isl_give isl_div *isl_term_get_div(__isl_keep isl_term *term, unsigned pos)
2947 {
2948 isl_basic_map *bmap;
2949 unsigned total;
2950 int k;
2951
2952 if (!term)
2953 return NULL;
2954
2955 isl_assert(term->dim->ctx, pos < isl_term_dim(term, isl_dim_div),
2956 return NULL);
2957
2958 total = term->div->n_col - term->div->n_row - 2;
2959 /* No nested divs for now */
2960 isl_assert(term->dim->ctx,
2961 isl_seq_first_non_zero(term->div->row[pos] + 2 + total,
2962 term->div->n_row) == -1,
2963 return NULL);
2964
2965 bmap = isl_basic_map_alloc_dim(isl_dim_copy(term->dim), 1, 0, 0);
2966 if ((k = isl_basic_map_alloc_div(bmap)) < 0)
2967 goto error;
2968
2969 isl_seq_cpy(bmap->div[k], term->div->row[pos], 2 + total);
2970
2971 return isl_basic_map_div(bmap, k);
2972 error:
2973 isl_basic_map_free(bmap);
2974 return NULL;
2975 }
2976
2977 __isl_give isl_term *isl_upoly_foreach_term(__isl_keep struct isl_upoly *up,
2978 int (*fn)(__isl_take isl_term *term, void *user),
2979 __isl_take isl_term *term, void *user)
2980 {
2981 int i;
2982 struct isl_upoly_rec *rec;
2983
2984 if (!up || !term)
2985 goto error;
2986
2987 if (isl_upoly_is_zero(up))
2988 return term;
2989
2990 isl_assert(up->ctx, !isl_upoly_is_nan(up), goto error);
2991 isl_assert(up->ctx, !isl_upoly_is_infty(up), goto error);
2992 isl_assert(up->ctx, !isl_upoly_is_neginfty(up), goto error);
2993
2994 if (isl_upoly_is_cst(up)) {
2995 struct isl_upoly_cst *cst;
2996 cst = isl_upoly_as_cst(up);
2997 if (!cst)
2998 goto error;
2999 term = isl_term_cow(term);
3000 if (!term)
3001 goto error;
3002 isl_int_set(term->n, cst->n);
3003 isl_int_set(term->d, cst->d);
3004 if (fn(isl_term_copy(term), user) < 0)
3005 goto error;
3006 return term;
3007 }
3008
3009 rec = isl_upoly_as_rec(up);
3010 if (!rec)
3011 goto error;
3012
3013 for (i = 0; i < rec->n; ++i) {
3014 term = isl_term_cow(term);
3015 if (!term)
3016 goto error;
3017 term->pow[up->var] = i;
3018 term = isl_upoly_foreach_term(rec->p[i], fn, term, user);
3019 if (!term)
3020 goto error;
3021 }
3022 term->pow[up->var] = 0;
3023
3024 return term;
3025 error:
3026 isl_term_free(term);
3027 return NULL;
3028 }
3029
3030 int isl_qpolynomial_foreach_term(__isl_keep isl_qpolynomial *qp,
3031 int (*fn)(__isl_take isl_term *term, void *user), void *user)
3032 {
3033 isl_term *term;
3034
3035 if (!qp)
3036 return -1;
3037
3038 term = isl_term_alloc(isl_dim_copy(qp->dim), isl_mat_copy(qp->div));
3039 if (!term)
3040 return -1;
3041
3042 term = isl_upoly_foreach_term(qp->upoly, fn, term, user);
3043
3044 isl_term_free(term);
3045
3046 return term ? 0 : -1;
3047 }
3048
3049 __isl_give isl_qpolynomial *isl_qpolynomial_from_term(__isl_take isl_term *term)
3050 {
3051 struct isl_upoly *up;
3052 isl_qpolynomial *qp;
3053 int i, n;
3054
3055 if (!term)
3056 return NULL;
3057
3058 n = isl_dim_total(term->dim) + term->div->n_row;
3059
3060 up = isl_upoly_rat_cst(term->dim->ctx, term->n, term->d);
3061 for (i = 0; i < n; ++i) {
3062 if (!term->pow[i])
3063 continue;
3064 up = isl_upoly_mul(up,
3065 isl_upoly_pow(term->dim->ctx, i, term->pow[i]));
3066 }
3067
3068 qp = isl_qpolynomial_alloc(isl_dim_copy(term->dim), term->div->n_row, up);
3069 if (!qp)
3070 goto error;
3071 isl_mat_free(qp->div);
3072 qp->div = isl_mat_copy(term->div);
3073 if (!qp->div)
3074 goto error;
3075
3076 isl_term_free(term);
3077 return qp;
3078 error:
3079 isl_qpolynomial_free(qp);
3080 isl_term_free(term);
3081 return NULL;
3082 }
3083
3084 __isl_give isl_qpolynomial *isl_qpolynomial_lift(__isl_take isl_qpolynomial *qp,
3085 __isl_take isl_dim *dim)
3086 {
3087 int i;
3088 int extra;
3089 unsigned total;
3090
3091 if (!qp || !dim)
3092 goto error;
3093
3094 if (isl_dim_equal(qp->dim, dim)) {
3095 isl_dim_free(dim);
3096 return qp;
3097 }
3098
3099 qp = isl_qpolynomial_cow(qp);
3100 if (!qp)
3101 goto error;
3102
3103 extra = isl_dim_size(dim, isl_dim_set) -
3104 isl_dim_size(qp->dim, isl_dim_set);
3105 total = isl_dim_total(qp->dim);
3106 if (qp->div->n_row) {
3107 int *exp;
3108
3109 exp = isl_alloc_array(qp->div->ctx, int, qp->div->n_row);
3110 if (!exp)
3111 goto error;
3112 for (i = 0; i < qp->div->n_row; ++i)
3113 exp[i] = extra + i;
3114 qp->upoly = expand(qp->upoly, exp, total);
3115 free(exp);
3116 if (!qp->upoly)
3117 goto error;
3118 }
3119 qp->div = isl_mat_insert_cols(qp->div, 2 + total, extra);
3120 if (!qp->div)
3121 goto error;
3122 for (i = 0; i < qp->div->n_row; ++i)
3123 isl_seq_clr(qp->div->row[i] + 2 + total, extra);
3124
3125 isl_dim_free(qp->dim);
3126 qp->dim = dim;
3127
3128 return qp;
3129 error:
3130 isl_dim_free(dim);
3131 isl_qpolynomial_free(qp);
3132 return NULL;
3133 }
3134
3135 /* For each parameter or variable that does not appear in qp,
3136 * first eliminate the variable from all constraints and then set it to zero.
3137 */
3138 static __isl_give isl_set *fix_inactive(__isl_take isl_set *set,
3139 __isl_keep isl_qpolynomial *qp)
3140 {
3141 int *active = NULL;
3142 int i;
3143 int d;
3144 unsigned nparam;
3145 unsigned nvar;
3146
3147 if (!set || !qp)
3148 goto error;
3149
3150 d = isl_dim_total(set->dim);
3151 active = isl_calloc_array(set->ctx, int, d);
3152 if (set_active(qp, active) < 0)
3153 goto error;
3154
3155 for (i = 0; i < d; ++i)
3156 if (!active[i])
3157 break;
3158
3159 if (i == d) {
3160 free(active);
3161 return set;
3162 }
3163
3164 nparam = isl_dim_size(set->dim, isl_dim_param);
3165 nvar = isl_dim_size(set->dim, isl_dim_set);
3166 for (i = 0; i < nparam; ++i) {
3167 if (active[i])
3168 continue;
3169 set = isl_set_eliminate(set, isl_dim_param, i, 1);
3170 set = isl_set_fix_si(set, isl_dim_param, i, 0);
3171 }
3172 for (i = 0; i < nvar; ++i) {
3173 if (active[nparam + i])
3174 continue;
3175 set = isl_set_eliminate(set, isl_dim_set, i, 1);
3176 set = isl_set_fix_si(set, isl_dim_set, i, 0);
3177 }
3178
3179 free(active);
3180
3181 return set;
3182 error:
3183 free(active);
3184 isl_set_free(set);
3185 return NULL;
3186 }
3187
3188 struct isl_opt_data {
3189 isl_qpolynomial *qp;
3190 int first;
3191 isl_qpolynomial *opt;
3192 int max;
3193 };
3194
3195 static int opt_fn(__isl_take isl_point *pnt, void *user)
3196 {
3197 struct isl_opt_data *data = (struct isl_opt_data *)user;
3198 isl_qpolynomial *val;
3199
3200 val = isl_qpolynomial_eval(isl_qpolynomial_copy(data->qp), pnt);
3201 if (data->first) {
3202 data->first = 0;
3203 data->opt = val;
3204 } else if (data->max) {
3205 data->opt = isl_qpolynomial_max_cst(data->opt, val);
3206 } else {
3207 data->opt = isl_qpolynomial_min_cst(data->opt, val);
3208 }
3209
3210 return 0;
3211 }
3212
3213 __isl_give isl_qpolynomial *isl_qpolynomial_opt_on_domain(
3214 __isl_take isl_qpolynomial *qp, __isl_take isl_set *set, int max)
3215 {
3216 struct isl_opt_data data = { NULL, 1, NULL, max };
3217
3218 if (!set || !qp)
3219 goto error;
3220
3221 if (isl_upoly_is_cst(qp->upoly)) {
3222 isl_set_free(set);
3223 return qp;
3224 }
3225
3226 set = fix_inactive(set, qp);
3227
3228 data.qp = qp;
3229 if (isl_set_foreach_point(set, opt_fn, &data) < 0)
3230 goto error;
3231
3232 if (data.first)
3233 data.opt = isl_qpolynomial_zero(isl_qpolynomial_get_dim(qp));
3234
3235 isl_set_free(set);
3236 isl_qpolynomial_free(qp);
3237 return data.opt;
3238 error:
3239 isl_set_free(set);
3240 isl_qpolynomial_free(qp);
3241 isl_qpolynomial_free(data.opt);
3242 return NULL;
3243 }
3244
3245 __isl_give isl_qpolynomial *isl_qpolynomial_morph(__isl_take isl_qpolynomial *qp,
3246 __isl_take isl_morph *morph)
3247 {
3248 int i;
3249 isl_ctx *ctx;
3250 struct isl_upoly *up;
3251 unsigned n_div;
3252 struct isl_upoly **subs;
3253 isl_mat *mat;
3254
3255 qp = isl_qpolynomial_cow(qp);
3256 if (!qp || !morph)
3257 goto error;
3258
3259 ctx = qp->dim->ctx;
3260 isl_assert(ctx, isl_dim_equal(qp->dim, morph->dom->dim), goto error);
3261
3262 subs = isl_calloc_array(ctx, struct isl_upoly *, morph->inv->n_row - 1);
3263 if (!subs)
3264 goto error;
3265
3266 for (i = 0; 1 + i < morph->inv->n_row; ++i)
3267 subs[i] = isl_upoly_from_affine(ctx, morph->inv->row[1 + i],
3268 morph->inv->row[0][0], morph->inv->n_col);
3269
3270 qp->upoly = isl_upoly_subs(qp->upoly, 0, morph->inv->n_row - 1, subs);
3271
3272 for (i = 0; 1 + i < morph->inv->n_row; ++i)
3273 isl_upoly_free(subs[i]);
3274 free(subs);
3275
3276 mat = isl_mat_diagonal(isl_mat_identity(ctx, 1), isl_mat_copy(morph->inv));
3277 mat = isl_mat_diagonal(mat, isl_mat_identity(ctx, qp->div->n_row));
3278 qp->div = isl_mat_product(qp->div, mat);
3279 isl_dim_free(qp->dim);
3280 qp->dim = isl_dim_copy(morph->ran->dim);
3281
3282 if (!qp->upoly || !qp->div || !qp->dim)
3283 goto error;
3284
3285 isl_morph_free(morph);
3286
3287 return qp;
3288 error:
3289 isl_qpolynomial_free(qp);
3290 isl_morph_free(morph);
3291 return NULL;
3292 }
3293
3294 static int neg_entry(void **entry, void *user)
3295 {
3296 isl_pw_qpolynomial **pwqp = (isl_pw_qpolynomial **)entry;
3297
3298 *pwqp = isl_pw_qpolynomial_neg(*pwqp);
3299
3300 return *pwqp ? 0 : -1;
3301 }
3302
3303 __isl_give isl_union_pw_qpolynomial *isl_union_pw_qpolynomial_neg(
3304 __isl_take isl_union_pw_qpolynomial *upwqp)
3305 {
3306 upwqp = isl_union_pw_qpolynomial_cow(upwqp);
3307 if (!upwqp)
3308 return NULL;
3309
3310 if (isl_hash_table_foreach(upwqp->dim->ctx, &upwqp->table,
3311 &neg_entry, NULL) < 0)
3312 goto error;
3313
3314 return upwqp;
3315 error:
3316 isl_union_pw_qpolynomial_free(upwqp);
3317 return NULL;
3318 }
3319
3320 __isl_give isl_union_pw_qpolynomial *isl_union_pw_qpolynomial_sub(
3321 __isl_take isl_union_pw_qpolynomial *upwqp1,
3322 __isl_take isl_union_pw_qpolynomial *upwqp2)
3323 {
3324 return isl_union_pw_qpolynomial_add(upwqp1,
3325 isl_union_pw_qpolynomial_neg(upwqp2));
3326 }
3327
3328 static int mul_entry(void **entry, void *user)
3329 {
3330 struct isl_union_pw_qpolynomial_match_bin_data *data = user;
3331 uint32_t hash;
3332 struct isl_hash_table_entry *entry2;
3333 isl_pw_qpolynomial *pwpq = *entry;
3334 int empty;
3335
3336 hash = isl_dim_get_hash(pwpq->dim);
3337 entry2 = isl_hash_table_find(data->upwqp2->dim->ctx,
3338 &data->upwqp2->table,
3339 hash, &has_dim, pwpq->dim, 0);
3340 if (!entry2)
3341 return 0;
3342
3343 pwpq = isl_pw_qpolynomial_copy(pwpq);
3344 pwpq = isl_pw_qpolynomial_mul(pwpq,
3345 isl_pw_qpolynomial_copy(entry2->data));
3346
3347 empty = isl_pw_qpolynomial_is_zero(pwpq);
3348 if (empty < 0) {
3349 isl_pw_qpolynomial_free(pwpq);
3350 return -1;
3351 }
3352 if (empty) {
3353 isl_pw_qpolynomial_free(pwpq);
3354 return 0;
3355 }
3356
3357 data->res = isl_union_pw_qpolynomial_add_pw_qpolynomial(data->res, pwpq);
3358
3359 return 0;
3360 }
3361
3362 __isl_give isl_union_pw_qpolynomial *isl_union_pw_qpolynomial_mul(
3363 __isl_take isl_union_pw_qpolynomial *upwqp1,
3364 __isl_take isl_union_pw_qpolynomial *upwqp2)
3365 {
3366 return match_bin_op(upwqp1, upwqp2, &mul_entry);
3367 }
Integer set library