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1 /** @file container.h
2  *
3  *  Wrapper template for making GiNaC classes out of STL containers. */
4
5 /*
6  *  GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
7  *
8  *  This program is free software; you can redistribute it and/or modify
9  *  it under the terms of the GNU General Public License as published by
10  *  the Free Software Foundation; either version 2 of the License, or
11  *  (at your option) any later version.
12  *
13  *  This program is distributed in the hope that it will be useful,
14  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
15  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
16  *  GNU General Public License for more details.
17  *
18  *  You should have received a copy of the GNU General Public License
19  *  along with this program; if not, write to the Free Software
20  *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
21  */
22
23 #ifndef __GINAC_CONTAINER_H__
24 #define __GINAC_CONTAINER_H__
25
26 #include <iterator>
27 #include <stdexcept>
28 #include <algorithm>
29 #include <vector>
30 #include <list>
31 #include <memory>
32
33 #include "ex.h"
34 #include "print.h"
35 #include "archive.h"
36 #include "assertion.h"
37
38 namespace GiNaC {
39
40
41 /** Helper template for encapsulating the reserve() mechanics of STL containers. */
42 template <template <class> class C>
43 class container_storage {
44 protected:
45         typedef C<ex> STLT;
46
47         container_storage() {}
48         container_storage(size_t n, const ex & e) : seq(n, e) {}
49
50         template <class In>
51         container_storage(In b, In e) : seq(b, e) {}
52
53         void reserve(size_t) {}
54         static void reserve(STLT &, size_t) {}
55
56         STLT seq;
57
58         // disallow destruction of container through a container_storage*
59 protected:
60         ~container_storage() {}
61 };
62
63 template <>
64 inline void container_storage<std::vector>::reserve(size_t n) { seq.reserve(n); }
65
66 template <>
67 inline void container_storage<std::vector>::reserve(std::vector<ex> & v, size_t n) { v.reserve(n); }
68
69
70 /** Wrapper template for making GiNaC classes out of STL containers. */
71 template <template <class> class C>
72 class container : public basic, public container_storage<C> {
73         GINAC_DECLARE_REGISTERED_CLASS(container, basic)
74
75         typedef typename container_storage<C>::STLT STLT;
76
77 public:
78         typedef typename STLT::const_iterator const_iterator;
79         typedef typename STLT::const_reverse_iterator const_reverse_iterator;
80
81 protected:
82         // helpers
83         static unsigned get_tinfo() { return TINFO_fail; }
84         static unsigned get_default_flags() { return 0; }
85         static char get_open_delim() { return '('; }
86         static char get_close_delim() { return ')'; }
87
88         // constructors
89 public:
90         container(STLT const & s, bool discardable = false) : inherited(get_tinfo())
91         {
92                 setflag(get_default_flags());
93
94                 if (discardable)
95                         this->seq.swap(const_cast<STLT &>(s));
96                 else
97                         this->seq = s;
98         }
99
100         explicit container(std::auto_ptr<STLT> vp) : inherited(get_tinfo())
101         {
102                 setflag(get_default_flags());
103                 this->seq.swap(*vp);
104         }
105
106         container(exvector::const_iterator b, exvector::const_iterator e)
107          : inherited(get_tinfo()), container_storage<C>(b, e)
108         {
109                 setflag(get_default_flags());
110         }
111
112         explicit container(const ex & p1)
113          : inherited(get_tinfo()), container_storage<C>(1, p1)
114         {
115                 setflag(get_default_flags());
116         }
117
118         container(const ex & p1, const ex & p2) : inherited(get_tinfo())
119         {
120                 setflag(get_default_flags());
121                 reserve(this->seq, 2);
122                 this->seq.push_back(p1); this->seq.push_back(p2);
123         }
124
125         container(const ex & p1, const ex & p2, const ex & p3) : inherited(get_tinfo())
126         {
127                 setflag(get_default_flags());
128                 reserve(this->seq, 3);
129                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
130         }
131
132         container(const ex & p1, const ex & p2, const ex & p3,
133                            const ex & p4) : inherited(get_tinfo())
134         {
135                 setflag(get_default_flags());
136                 reserve(this->seq, 4);
137                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
138                 this->seq.push_back(p4);
139         }
140
141         container(const ex & p1, const ex & p2, const ex & p3,
142                   const ex & p4, const ex & p5) : inherited(get_tinfo())
143         {
144                 setflag(get_default_flags());
145                 reserve(this->seq, 5);
146                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
147                 this->seq.push_back(p4); this->seq.push_back(p5);
148         }
149
150         container(const ex & p1, const ex & p2, const ex & p3,
151                   const ex & p4, const ex & p5, const ex & p6) : inherited(get_tinfo())
152         {
153                 setflag(get_default_flags());
154                 reserve(this->seq, 6);
155                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
156                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
157         }
158
159         container(const ex & p1, const ex & p2, const ex & p3,
160                   const ex & p4, const ex & p5, const ex & p6,
161                   const ex & p7) : inherited(get_tinfo())
162         {
163                 setflag(get_default_flags());
164                 reserve(this->seq, 7);
165                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
166                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
167                 this->seq.push_back(p7);
168         }
169
170         container(const ex & p1, const ex & p2, const ex & p3,
171                   const ex & p4, const ex & p5, const ex & p6,
172                   const ex & p7, const ex & p8) : inherited(get_tinfo())
173         {
174                 setflag(get_default_flags());
175                 reserve(this->seq, 8);
176                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
177                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
178                 this->seq.push_back(p7); this->seq.push_back(p8);
179         }
180
181         container(const ex & p1, const ex & p2, const ex & p3,
182                   const ex & p4, const ex & p5, const ex & p6,
183                   const ex & p7, const ex & p8, const ex & p9) : inherited(get_tinfo())
184         {
185                 setflag(get_default_flags());
186                 reserve(this->seq, 9);
187                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
188                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
189                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
190         }
191
192         container(const ex & p1, const ex & p2, const ex & p3,
193                   const ex & p4, const ex & p5, const ex & p6,
194                   const ex & p7, const ex & p8, const ex & p9,
195                   const ex & p10) : inherited(get_tinfo())
196         {
197                 setflag(get_default_flags());
198                 reserve(this->seq, 10);
199                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
200                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
201                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
202                 this->seq.push_back(p10);
203         }
204
205         container(const ex & p1, const ex & p2, const ex & p3,
206                   const ex & p4, const ex & p5, const ex & p6,
207                   const ex & p7, const ex & p8, const ex & p9,
208                   const ex & p10, const ex & p11) : inherited(get_tinfo())
209         {
210                 setflag(get_default_flags());
211                 reserve(this->seq, 11);
212                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
213                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
214                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
215                 this->seq.push_back(p10); this->seq.push_back(p11);
216         }
217
218         container(const ex & p1, const ex & p2, const ex & p3,
219                   const ex & p4, const ex & p5, const ex & p6,
220                   const ex & p7, const ex & p8, const ex & p9,
221                   const ex & p10, const ex & p11, const ex & p12) : inherited(get_tinfo())
222         {
223                 setflag(get_default_flags());
224                 reserve(this->seq, 12);
225                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
226                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
227                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
228                 this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
229         }
230
231         container(const ex & p1, const ex & p2, const ex & p3,
232                   const ex & p4, const ex & p5, const ex & p6,
233                   const ex & p7, const ex & p8, const ex & p9,
234                   const ex & p10, const ex & p11, const ex & p12,
235                   const ex & p13) : inherited(get_tinfo())
236         {
237                 setflag(get_default_flags());
238                 reserve(this->seq, 13);
239                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
240                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
241                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
242                 this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
243                 this->seq.push_back(p13);
244         }
245
246         container(const ex & p1, const ex & p2, const ex & p3,
247                   const ex & p4, const ex & p5, const ex & p6,
248                   const ex & p7, const ex & p8, const ex & p9,
249                   const ex & p10, const ex & p11, const ex & p12,
250                   const ex & p13, const ex & p14) : inherited(get_tinfo())
251         {
252                 setflag(get_default_flags());
253                 reserve(this->seq, 14);
254                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
255                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
256                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
257                 this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
258                 this->seq.push_back(p13); this->seq.push_back(p14);
259         }
260
261         container(const ex & p1, const ex & p2, const ex & p3,
262                   const ex & p4, const ex & p5, const ex & p6,
263                   const ex & p7, const ex & p8, const ex & p9,
264                   const ex & p10, const ex & p11, const ex & p12,
265                   const ex & p13, const ex & p14, const ex & p15) : inherited(get_tinfo())
266         {
267                 setflag(get_default_flags());
268                 reserve(this->seq, 15);
269                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
270                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
271                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
272                 this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
273                 this->seq.push_back(p13); this->seq.push_back(p14); this->seq.push_back(p15);
274         }
275
276         container(const ex & p1, const ex & p2, const ex & p3,
277                   const ex & p4, const ex & p5, const ex & p6,
278                   const ex & p7, const ex & p8, const ex & p9,
279                   const ex & p10, const ex & p11, const ex & p12,
280                   const ex & p13, const ex & p14, const ex & p15,
281                   const ex & p16) : inherited(get_tinfo())
282         {
283                 setflag(get_default_flags());
284                 reserve(this->seq, 16);
285                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
286                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
287                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
288                 this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
289                 this->seq.push_back(p13); this->seq.push_back(p14); this->seq.push_back(p15);
290                 this->seq.push_back(p16);
291         }
292
293         // functions overriding virtual functions from base classes
294 public:
295         bool info(unsigned inf) const { return inherited::info(inf); }
296         unsigned precedence() const { return 10; }
297         size_t nops() const { return this->seq.size(); }
298         ex op(size_t i) const;
299         ex & let_op(size_t i);
300         ex eval(int level = 0) const;
301         ex subs(const exmap & m, unsigned options = 0) const;
302
303 protected:
304         bool is_equal_same_type(const basic & other) const;
305
306         // new virtual functions which can be overridden by derived classes
307 protected:
308         /** Similar to duplicate(), but with a preset sequence. Must be
309          *  overridden by derived classes. */
310         virtual ex thiscontainer(const STLT & v) const { return container(v); }
311
312         /** Similar to duplicate(), but with a preset sequence (which gets
313          *  deleted). Must be overridden by derived classes. */
314         virtual ex thiscontainer(std::auto_ptr<STLT> vp) const { return container(vp); }
315
316         virtual void printseq(const print_context & c, char openbracket, char delim,
317                               char closebracket, unsigned this_precedence,
318                               unsigned upper_precedence = 0) const;
319
320         // non-virtual functions in this class
321 private:
322         void sort_(std::random_access_iterator_tag)
323         {
324                 std::sort(this->seq.begin(), this->seq.end(), ex_is_less());
325         }
326
327         void sort_(std::input_iterator_tag)
328         {
329                 this->seq.sort(ex_is_less());
330         }
331
332         void unique_()
333         {
334                 typename STLT::iterator p = std::unique(this->seq.begin(), this->seq.end(), ex_is_equal());
335                 this->seq.erase(p, this->seq.end());
336         }
337
338 public:
339         container & prepend(const ex & b);
340         container & append(const ex & b);
341         container & remove_first();
342         container & remove_last();
343         container & remove_all();
344         container & sort();
345         container & unique();
346
347         const_iterator begin() const {return this->seq.begin();}
348         const_iterator end() const {return this->seq.end();}
349         const_reverse_iterator rbegin() const {return this->seq.rbegin();}
350         const_reverse_iterator rend() const {return this->seq.rend();}
351
352 protected:
353         void do_print(const print_context & c, unsigned level) const;
354         void do_print_tree(const print_tree & c, unsigned level) const;
355         void do_print_python(const print_python & c, unsigned level) const;
356         void do_print_python_repr(const print_python_repr & c, unsigned level) const;
357         STLT evalchildren(int level) const;
358         std::auto_ptr<STLT> subschildren(const exmap & m, unsigned options = 0) const;
359 };
360
361 /** Default constructor */
362 template <template <class> class C>
363 container<C>::container() : inherited(get_tinfo())
364 {
365         setflag(get_default_flags());
366 }
367
368 /** Construct object from archive_node. */
369 template <template <class> class C>
370 container<C>::container(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst)
371 {
372         setflag(get_default_flags());
373
374         for (unsigned int i=0; true; i++) {
375                 ex e;
376                 if (n.find_ex("seq", e, sym_lst, i))
377                         this->seq.push_back(e);
378                 else
379                         break;
380         }
381 }
382
383 /** Unarchive the object. */
384 template <template <class> class C>
385 ex container<C>::unarchive(const archive_node &n, lst &sym_lst)
386 {
387         return (new container(n, sym_lst))->setflag(status_flags::dynallocated);
388 }
389
390 /** Archive the object. */
391 template <template <class> class C>
392 void container<C>::archive(archive_node &n) const
393 {
394         inherited::archive(n);
395         const_iterator i = this->seq.begin(), end = this->seq.end();
396         while (i != end) {
397                 n.add_ex("seq", *i);
398                 ++i;
399         }
400 }
401
402 template <template <class> class C>
403 void container<C>::do_print(const print_context & c, unsigned level) const
404 {
405         // always print brackets around seq, ignore upper_precedence
406         printseq(c, get_open_delim(), ',', get_close_delim(), precedence(), precedence()+1);
407 }
408
409 template <template <class> class C>
410 void container<C>::do_print_tree(const print_tree & c, unsigned level) const
411 {
412         c.s << std::string(level, ' ') << class_name()
413             << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
414             << ", nops=" << nops()
415             << std::endl;
416         const_iterator i = this->seq.begin(), end = this->seq.end();
417         while (i != end) {
418                 i->print(c, level + c.delta_indent);
419                 ++i;
420         }
421         c.s << std::string(level + c.delta_indent,' ') << "=====" << std::endl;
422 }
423
424 template <template <class> class C>
425 void container<C>::do_print_python(const print_python & c, unsigned level) const
426 {
427         printseq(c, '[', ',', ']', precedence(), precedence()+1);
428 }
429
430 template <template <class> class C>
431 void container<C>::do_print_python_repr(const print_python_repr & c, unsigned level) const
432 {
433         c.s << class_name();
434         printseq(c, '(', ',', ')', precedence(), precedence()+1);
435 }
436
437 template <template <class> class C>
438 ex container<C>::op(size_t i) const
439 {
440         GINAC_ASSERT(i < nops());
441
442         const_iterator it = this->seq.begin();
443         advance(it, i);
444         return *it;
445 }
446
447 template <template <class> class C>
448 ex & container<C>::let_op(size_t i)
449 {
450         GINAC_ASSERT(i < nops());
451
452         ensure_if_modifiable();
453         typename STLT::iterator it = this->seq.begin();
454         advance(it, i);
455         return *it;
456 }
457
458 template <template <class> class C>
459 ex container<C>::eval(int level) const
460 {
461         if (level == 1)
462                 return hold();
463         else
464                 return thiscontainer(evalchildren(level));
465 }
466
467 template <template <class> class C>
468 ex container<C>::subs(const exmap & m, unsigned options) const
469 {
470         std::auto_ptr<STLT> vp = subschildren(m, options);
471         if (vp.get())
472                 return ex_to<basic>(thiscontainer(vp)).subs_one_level(m, options);
473         else
474                 return subs_one_level(m, options);
475 }
476
477 /** Compare two containers of the same type. */
478 template <template <class> class C>
479 int container<C>::compare_same_type(const basic & other) const
480 {
481         GINAC_ASSERT(is_a<container>(other));
482         const container & o = static_cast<const container &>(other);
483
484         const_iterator it1 = this->seq.begin(), it1end = this->seq.end(),
485                        it2 = o.seq.begin(), it2end = o.seq.end();
486
487         while (it1 != it1end && it2 != it2end) {
488                 int cmpval = it1->compare(*it2);
489                 if (cmpval)
490                         return cmpval;
491                 ++it1; ++it2;
492         }
493
494         return (it1 == it1end) ? (it2 == it2end ? 0 : -1) : 1;
495 }
496
497 template <template <class> class C>
498 bool container<C>::is_equal_same_type(const basic & other) const
499 {
500         GINAC_ASSERT(is_a<container>(other));
501         const container & o = static_cast<const container &>(other);
502
503         if (this->seq.size() != o.seq.size())
504                 return false;
505
506         const_iterator it1 = this->seq.begin(), it1end = this->seq.end(), it2 = o.seq.begin();
507         while (it1 != it1end) {
508                 if (!it1->is_equal(*it2))
509                         return false;
510                 ++it1; ++it2;
511         }
512
513         return true;
514 }
515
516 /** Add element at front. */
517 template <template <class> class C>
518 container<C> & container<C>::prepend(const ex & b)
519 {
520         ensure_if_modifiable();
521         this->seq.push_front(b);
522         return *this;
523 }
524
525 /** Add element at back. */
526 template <template <class> class C>
527 container<C> & container<C>::append(const ex & b)
528 {
529         ensure_if_modifiable();
530         this->seq.push_back(b);
531         return *this;
532 }
533
534 /** Remove first element. */
535 template <template <class> class C>
536 container<C> & container<C>::remove_first()
537 {
538         ensure_if_modifiable();
539         this->seq.pop_front();
540         return *this;
541 }
542
543 /** Remove last element. */
544 template <template <class> class C>
545 container<C> & container<C>::remove_last()
546 {
547         ensure_if_modifiable();
548         this->seq.pop_back();
549         return *this;
550 }
551
552 /** Remove all elements. */
553 template <template <class> class C>
554 container<C> & container<C>::remove_all()
555 {
556         ensure_if_modifiable();
557         this->seq.clear();
558         return *this;
559 }
560
561 /** Sort elements. */
562 template <template <class> class C>
563 container<C> & container<C>::sort()
564 {
565         ensure_if_modifiable();
566         sort_(typename std::iterator_traits<typename STLT::iterator>::iterator_category());
567         return *this;
568 }
569
570 /** Specialization of container::unique_() for std::list. */
571 inline void container<std::list>::unique_()
572 {
573         this->seq.unique(ex_is_equal());
574 }
575
576 /** Remove adjacent duplicate elements. */
577 template <template <class> class C>
578 container<C> & container<C>::unique()
579 {
580         ensure_if_modifiable();
581         unique_();
582         return *this;
583 }
584
585 /** Print sequence of contained elements. */
586 template <template <class> class C>
587 void container<C>::printseq(const print_context & c, char openbracket, char delim,
588                             char closebracket, unsigned this_precedence,
589                             unsigned upper_precedence) const
590 {
591         if (this_precedence <= upper_precedence)
592                 c.s << openbracket;
593
594         if (!this->seq.empty()) {
595                 const_iterator it = this->seq.begin(), itend = this->seq.end();
596                 --itend;
597                 while (it != itend) {
598                         it->print(c, this_precedence);
599                         c.s << delim;
600                         ++it;
601                 }
602                 it->print(c, this_precedence);
603         }
604
605         if (this_precedence <= upper_precedence)
606                 c.s << closebracket;
607 }
608
609 template <template <class> class C>
610 typename container<C>::STLT container<C>::evalchildren(int level) const
611 {
612         if (level == 1)
613                 return this->seq;
614         else if (level == -max_recursion_level)
615                 throw std::runtime_error("max recursion level reached");
616
617         STLT s;
618         reserve(s, this->seq.size());
619
620         --level;
621         const_iterator it = this->seq.begin(), itend = this->seq.end();
622         while (it != itend) {
623                 s.push_back(it->eval(level));
624                 ++it;
625         }
626
627         return s;
628 }
629
630 template <template <class> class C>
631 std::auto_ptr<typename container<C>::STLT> container<C>::subschildren(const exmap & m, unsigned options) const
632 {
633         // returns a NULL pointer if nothing had to be substituted
634         // returns a pointer to a newly created epvector otherwise
635         // (and relinquishes responsibility for the epvector)
636
637         const_iterator cit = this->seq.begin(), end = this->seq.end();
638         while (cit != end) {
639                 const ex & subsed_ex = cit->subs(m, options);
640                 if (!are_ex_trivially_equal(*cit, subsed_ex)) {
641
642                         // copy first part of seq which hasn't changed
643                         std::auto_ptr<STLT> s(new STLT(this->seq.begin(), cit));
644                         reserve(*s, this->seq.size());
645
646                         // insert changed element
647                         s->push_back(subsed_ex);
648                         ++cit;
649
650                         // copy rest
651                         while (cit != end) {
652                                 s->push_back(cit->subs(m, options));
653                                 ++cit;
654                         }
655
656                         return s;
657                 }
658
659                 ++cit;
660         }
661         
662         return std::auto_ptr<STLT>(0); // nothing has changed
663 }
664
665 } // namespace GiNaC
666
667 #endif // ndef __GINAC_CONTAINER_H__