Added complex conjugation methods and GiNaC function "conjugate".
[ginac.git] / ginac / container.h
1 /** @file container.h
2  *
3  *  Wrapper template for making GiNaC classes out of STL containers. */
4
5 /*
6  *  GiNaC Copyright (C) 1999-2004 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 /** Helper template to allow initialization of containers via an overloaded
71  *  comma operator (idea stolen from Blitz++). */
72 template <typename T, typename STLT>
73 class container_init {
74 public:
75         container_init(STLT & s) : stlt(s) {}
76
77         container_init<T, STLT> operator,(const T & x)
78         {
79                 stlt.push_back(x);
80                 return container_init<T, STLT>(stlt);
81         }
82
83         // The following specializations produce much tighter code than the
84         // general case above
85
86         container_init<T, STLT> operator,(int x)
87         {
88                 stlt.push_back(x);
89                 return container_init<T, STLT>(stlt);
90         }
91
92         container_init<T, STLT> operator,(unsigned int x)
93         {
94                 stlt.push_back(x);
95                 return container_init<T, STLT>(stlt);
96         }
97
98         container_init<T, STLT> operator,(long x)
99         {
100                 stlt.push_back(x);
101                 return container_init<T, STLT>(stlt);
102         }
103
104         container_init<T, STLT> operator,(unsigned long x)
105         {
106                 stlt.push_back(x);
107                 return container_init<T, STLT>(stlt);
108         }
109
110         container_init<T, STLT> operator,(double x)
111         {
112                 stlt.push_back(x);
113                 return container_init<T, STLT>(stlt);
114         }
115
116         container_init<T, STLT> operator,(const symbol & x)
117         {
118                 stlt.push_back(T(x));
119                 return container_init<T, STLT>(stlt);
120         }
121
122 private:
123         container_init();
124         STLT & stlt;
125 };
126
127 /** Wrapper template for making GiNaC classes out of STL containers. */
128 template <template <class> class C>
129 class container : public basic, public container_storage<C> {
130         GINAC_DECLARE_REGISTERED_CLASS(container, basic)
131
132         typedef typename container_storage<C>::STLT STLT;
133
134 public:
135         typedef typename STLT::const_iterator const_iterator;
136         typedef typename STLT::const_reverse_iterator const_reverse_iterator;
137
138 protected:
139         // helpers
140         static unsigned get_tinfo() { return TINFO_fail; }
141         static unsigned get_default_flags() { return 0; }
142         static char get_open_delim() { return '('; }
143         static char get_close_delim() { return ')'; }
144
145         // constructors
146 public:
147         container(STLT const & s, bool discardable = false) : inherited(get_tinfo())
148         {
149                 setflag(get_default_flags());
150
151                 if (discardable)
152                         this->seq.swap(const_cast<STLT &>(s));
153                 else
154                         this->seq = s;
155         }
156
157         explicit container(std::auto_ptr<STLT> vp) : inherited(get_tinfo())
158         {
159                 setflag(get_default_flags());
160                 this->seq.swap(*vp);
161         }
162
163         container(exvector::const_iterator b, exvector::const_iterator e)
164          : inherited(get_tinfo()), container_storage<C>(b, e)
165         {
166                 setflag(get_default_flags());
167         }
168
169         explicit container(const ex & p1)
170          : inherited(get_tinfo()), container_storage<C>(1, p1)
171         {
172                 setflag(get_default_flags());
173         }
174
175         container(const ex & p1, const ex & p2) : inherited(get_tinfo())
176         {
177                 setflag(get_default_flags());
178                 reserve(this->seq, 2);
179                 this->seq.push_back(p1); this->seq.push_back(p2);
180         }
181
182         container(const ex & p1, const ex & p2, const ex & p3) : inherited(get_tinfo())
183         {
184                 setflag(get_default_flags());
185                 reserve(this->seq, 3);
186                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
187         }
188
189         container(const ex & p1, const ex & p2, const ex & p3,
190                            const ex & p4) : inherited(get_tinfo())
191         {
192                 setflag(get_default_flags());
193                 reserve(this->seq, 4);
194                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
195                 this->seq.push_back(p4);
196         }
197
198         container(const ex & p1, const ex & p2, const ex & p3,
199                   const ex & p4, const ex & p5) : inherited(get_tinfo())
200         {
201                 setflag(get_default_flags());
202                 reserve(this->seq, 5);
203                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
204                 this->seq.push_back(p4); this->seq.push_back(p5);
205         }
206
207         container(const ex & p1, const ex & p2, const ex & p3,
208                   const ex & p4, const ex & p5, const ex & p6) : inherited(get_tinfo())
209         {
210                 setflag(get_default_flags());
211                 reserve(this->seq, 6);
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         }
215
216         container(const ex & p1, const ex & p2, const ex & p3,
217                   const ex & p4, const ex & p5, const ex & p6,
218                   const ex & p7) : inherited(get_tinfo())
219         {
220                 setflag(get_default_flags());
221                 reserve(this->seq, 7);
222                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
223                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
224                 this->seq.push_back(p7);
225         }
226
227         container(const ex & p1, const ex & p2, const ex & p3,
228                   const ex & p4, const ex & p5, const ex & p6,
229                   const ex & p7, const ex & p8) : inherited(get_tinfo())
230         {
231                 setflag(get_default_flags());
232                 reserve(this->seq, 8);
233                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
234                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
235                 this->seq.push_back(p7); this->seq.push_back(p8);
236         }
237
238         container(const ex & p1, const ex & p2, const ex & p3,
239                   const ex & p4, const ex & p5, const ex & p6,
240                   const ex & p7, const ex & p8, const ex & p9) : inherited(get_tinfo())
241         {
242                 setflag(get_default_flags());
243                 reserve(this->seq, 9);
244                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
245                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
246                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
247         }
248
249         container(const ex & p1, const ex & p2, const ex & p3,
250                   const ex & p4, const ex & p5, const ex & p6,
251                   const ex & p7, const ex & p8, const ex & p9,
252                   const ex & p10) : inherited(get_tinfo())
253         {
254                 setflag(get_default_flags());
255                 reserve(this->seq, 10);
256                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
257                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
258                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
259                 this->seq.push_back(p10);
260         }
261
262         container(const ex & p1, const ex & p2, const ex & p3,
263                   const ex & p4, const ex & p5, const ex & p6,
264                   const ex & p7, const ex & p8, const ex & p9,
265                   const ex & p10, const ex & p11) : inherited(get_tinfo())
266         {
267                 setflag(get_default_flags());
268                 reserve(this->seq, 11);
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);
273         }
274
275         container(const ex & p1, const ex & p2, const ex & p3,
276                   const ex & p4, const ex & p5, const ex & p6,
277                   const ex & p7, const ex & p8, const ex & p9,
278                   const ex & p10, const ex & p11, const ex & p12) : inherited(get_tinfo())
279         {
280                 setflag(get_default_flags());
281                 reserve(this->seq, 12);
282                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
283                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
284                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
285                 this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
286         }
287
288         container(const ex & p1, const ex & p2, const ex & p3,
289                   const ex & p4, const ex & p5, const ex & p6,
290                   const ex & p7, const ex & p8, const ex & p9,
291                   const ex & p10, const ex & p11, const ex & p12,
292                   const ex & p13) : inherited(get_tinfo())
293         {
294                 setflag(get_default_flags());
295                 reserve(this->seq, 13);
296                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
297                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
298                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
299                 this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
300                 this->seq.push_back(p13);
301         }
302
303         container(const ex & p1, const ex & p2, const ex & p3,
304                   const ex & p4, const ex & p5, const ex & p6,
305                   const ex & p7, const ex & p8, const ex & p9,
306                   const ex & p10, const ex & p11, const ex & p12,
307                   const ex & p13, const ex & p14) : inherited(get_tinfo())
308         {
309                 setflag(get_default_flags());
310                 reserve(this->seq, 14);
311                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
312                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
313                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
314                 this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
315                 this->seq.push_back(p13); this->seq.push_back(p14);
316         }
317
318         container(const ex & p1, const ex & p2, const ex & p3,
319                   const ex & p4, const ex & p5, const ex & p6,
320                   const ex & p7, const ex & p8, const ex & p9,
321                   const ex & p10, const ex & p11, const ex & p12,
322                   const ex & p13, const ex & p14, const ex & p15) : inherited(get_tinfo())
323         {
324                 setflag(get_default_flags());
325                 reserve(this->seq, 15);
326                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
327                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
328                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
329                 this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
330                 this->seq.push_back(p13); this->seq.push_back(p14); this->seq.push_back(p15);
331         }
332
333         container(const ex & p1, const ex & p2, const ex & p3,
334                   const ex & p4, const ex & p5, const ex & p6,
335                   const ex & p7, const ex & p8, const ex & p9,
336                   const ex & p10, const ex & p11, const ex & p12,
337                   const ex & p13, const ex & p14, const ex & p15,
338                   const ex & p16) : inherited(get_tinfo())
339         {
340                 setflag(get_default_flags());
341                 reserve(this->seq, 16);
342                 this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
343                 this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
344                 this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
345                 this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
346                 this->seq.push_back(p13); this->seq.push_back(p14); this->seq.push_back(p15);
347                 this->seq.push_back(p16);
348         }
349
350         // First step of initialization of container with a comma-separated
351         // sequence of expressions. Subsequent steps are handled by
352         // container_init<>::operator,().
353         container_init<ex, STLT> operator=(const ex & x)
354         {
355                 this->seq.push_back(x);
356                 return container_init<ex, STLT>(this->seq);
357         }
358
359         // functions overriding virtual functions from base classes
360 public:
361         bool info(unsigned inf) const { return inherited::info(inf); }
362         unsigned precedence() const { return 10; }
363         size_t nops() const { return this->seq.size(); }
364         ex op(size_t i) const;
365         ex & let_op(size_t i);
366         ex eval(int level = 0) const;
367         ex subs(const exmap & m, unsigned options = 0) const;
368
369 protected:
370         ex conjugate() const
371         {
372                 STLT* newcont = 0;
373                 for (const_iterator i=seq.begin(); i!=seq.end(); ++i) {
374                         if (newcont) {
375                                 newcont->push_back(i->conjugate());
376                                 continue;
377                         }
378                         ex x = i->conjugate();
379                         if (are_ex_trivially_equal(x, *i)) {
380                                 continue;
381                         }
382                         newcont = new STLT;
383                         reserve (*newcont, seq.size());
384                         for (const_iterator j=seq.begin(); j!=i; ++j) {
385                                 newcont->push_back(*j);
386                         }
387                         newcont->push_back(x);
388                 }
389                 if (newcont) {
390                         ex result = thiscontainer(*newcont);
391                         delete newcont;
392                         return result;
393                 }
394                 return *this;
395         }
396         bool is_equal_same_type(const basic & other) const;
397
398         // new virtual functions which can be overridden by derived classes
399 protected:
400         /** Similar to duplicate(), but with a preset sequence. Must be
401          *  overridden by derived classes. */
402         virtual ex thiscontainer(const STLT & v) const { return container(v); }
403
404         /** Similar to duplicate(), but with a preset sequence (which gets
405          *  deleted). Must be overridden by derived classes. */
406         virtual ex thiscontainer(std::auto_ptr<STLT> vp) const { return container(vp); }
407
408         virtual void printseq(const print_context & c, char openbracket, char delim,
409                               char closebracket, unsigned this_precedence,
410                               unsigned upper_precedence = 0) const;
411
412         // non-virtual functions in this class
413 private:
414         void sort_(std::random_access_iterator_tag)
415         {
416                 std::sort(this->seq.begin(), this->seq.end(), ex_is_less());
417         }
418
419         void sort_(std::input_iterator_tag)
420         {
421                 this->seq.sort(ex_is_less());
422         }
423
424         void unique_()
425         {
426                 typename STLT::iterator p = std::unique(this->seq.begin(), this->seq.end(), ex_is_equal());
427                 this->seq.erase(p, this->seq.end());
428         }
429
430 public:
431         container & prepend(const ex & b);
432         container & append(const ex & b);
433         container & remove_first();
434         container & remove_last();
435         container & remove_all();
436         container & sort();
437         container & unique();
438
439         const_iterator begin() const {return this->seq.begin();}
440         const_iterator end() const {return this->seq.end();}
441         const_reverse_iterator rbegin() const {return this->seq.rbegin();}
442         const_reverse_iterator rend() const {return this->seq.rend();}
443
444 protected:
445         void do_print(const print_context & c, unsigned level) const;
446         void do_print_tree(const print_tree & c, unsigned level) const;
447         void do_print_python(const print_python & c, unsigned level) const;
448         void do_print_python_repr(const print_python_repr & c, unsigned level) const;
449         STLT evalchildren(int level) const;
450         std::auto_ptr<STLT> subschildren(const exmap & m, unsigned options = 0) const;
451 };
452
453 /** Default constructor */
454 template <template <class> class C>
455 container<C>::container() : inherited(get_tinfo())
456 {
457         setflag(get_default_flags());
458 }
459
460 /** Construct object from archive_node. */
461 template <template <class> class C>
462 container<C>::container(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst)
463 {
464         setflag(get_default_flags());
465
466         for (unsigned int i=0; true; i++) {
467                 ex e;
468                 if (n.find_ex("seq", e, sym_lst, i))
469                         this->seq.push_back(e);
470                 else
471                         break;
472         }
473 }
474
475 /** Unarchive the object. */
476 template <template <class> class C>
477 ex container<C>::unarchive(const archive_node &n, lst &sym_lst)
478 {
479         return (new container(n, sym_lst))->setflag(status_flags::dynallocated);
480 }
481
482 /** Archive the object. */
483 template <template <class> class C>
484 void container<C>::archive(archive_node &n) const
485 {
486         inherited::archive(n);
487         const_iterator i = this->seq.begin(), end = this->seq.end();
488         while (i != end) {
489                 n.add_ex("seq", *i);
490                 ++i;
491         }
492 }
493
494 template <template <class> class C>
495 void container<C>::do_print(const print_context & c, unsigned level) const
496 {
497         // always print brackets around seq, ignore upper_precedence
498         printseq(c, get_open_delim(), ',', get_close_delim(), precedence(), precedence()+1);
499 }
500
501 template <template <class> class C>
502 void container<C>::do_print_tree(const print_tree & c, unsigned level) const
503 {
504         c.s << std::string(level, ' ') << class_name()
505             << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
506             << ", nops=" << nops()
507             << std::endl;
508         const_iterator i = this->seq.begin(), end = this->seq.end();
509         while (i != end) {
510                 i->print(c, level + c.delta_indent);
511                 ++i;
512         }
513         c.s << std::string(level + c.delta_indent,' ') << "=====" << std::endl;
514 }
515
516 template <template <class> class C>
517 void container<C>::do_print_python(const print_python & c, unsigned level) const
518 {
519         printseq(c, '[', ',', ']', precedence(), precedence()+1);
520 }
521
522 template <template <class> class C>
523 void container<C>::do_print_python_repr(const print_python_repr & c, unsigned level) const
524 {
525         c.s << class_name();
526         printseq(c, '(', ',', ')', precedence(), precedence()+1);
527 }
528
529 template <template <class> class C>
530 ex container<C>::op(size_t i) const
531 {
532         GINAC_ASSERT(i < nops());
533
534         const_iterator it = this->seq.begin();
535         advance(it, i);
536         return *it;
537 }
538
539 template <template <class> class C>
540 ex & container<C>::let_op(size_t i)
541 {
542         GINAC_ASSERT(i < nops());
543
544         ensure_if_modifiable();
545         typename STLT::iterator it = this->seq.begin();
546         advance(it, i);
547         return *it;
548 }
549
550 template <template <class> class C>
551 ex container<C>::eval(int level) const
552 {
553         if (level == 1)
554                 return hold();
555         else
556                 return thiscontainer(evalchildren(level));
557 }
558
559 template <template <class> class C>
560 ex container<C>::subs(const exmap & m, unsigned options) const
561 {
562         std::auto_ptr<STLT> vp = subschildren(m, options);
563         if (vp.get())
564                 return ex_to<basic>(thiscontainer(vp)).subs_one_level(m, options);
565         else
566                 return subs_one_level(m, options);
567 }
568
569 /** Compare two containers of the same type. */
570 template <template <class> class C>
571 int container<C>::compare_same_type(const basic & other) const
572 {
573         GINAC_ASSERT(is_a<container>(other));
574         const container & o = static_cast<const container &>(other);
575
576         const_iterator it1 = this->seq.begin(), it1end = this->seq.end(),
577                        it2 = o.seq.begin(), it2end = o.seq.end();
578
579         while (it1 != it1end && it2 != it2end) {
580                 int cmpval = it1->compare(*it2);
581                 if (cmpval)
582                         return cmpval;
583                 ++it1; ++it2;
584         }
585
586         return (it1 == it1end) ? (it2 == it2end ? 0 : -1) : 1;
587 }
588
589 template <template <class> class C>
590 bool container<C>::is_equal_same_type(const basic & other) const
591 {
592         GINAC_ASSERT(is_a<container>(other));
593         const container & o = static_cast<const container &>(other);
594
595         if (this->seq.size() != o.seq.size())
596                 return false;
597
598         const_iterator it1 = this->seq.begin(), it1end = this->seq.end(), it2 = o.seq.begin();
599         while (it1 != it1end) {
600                 if (!it1->is_equal(*it2))
601                         return false;
602                 ++it1; ++it2;
603         }
604
605         return true;
606 }
607
608 /** Add element at front. */
609 template <template <class> class C>
610 container<C> & container<C>::prepend(const ex & b)
611 {
612         ensure_if_modifiable();
613         this->seq.push_front(b);
614         return *this;
615 }
616
617 /** Add element at back. */
618 template <template <class> class C>
619 container<C> & container<C>::append(const ex & b)
620 {
621         ensure_if_modifiable();
622         this->seq.push_back(b);
623         return *this;
624 }
625
626 /** Remove first element. */
627 template <template <class> class C>
628 container<C> & container<C>::remove_first()
629 {
630         ensure_if_modifiable();
631         this->seq.pop_front();
632         return *this;
633 }
634
635 /** Remove last element. */
636 template <template <class> class C>
637 container<C> & container<C>::remove_last()
638 {
639         ensure_if_modifiable();
640         this->seq.pop_back();
641         return *this;
642 }
643
644 /** Remove all elements. */
645 template <template <class> class C>
646 container<C> & container<C>::remove_all()
647 {
648         ensure_if_modifiable();
649         this->seq.clear();
650         return *this;
651 }
652
653 /** Sort elements. */
654 template <template <class> class C>
655 container<C> & container<C>::sort()
656 {
657         ensure_if_modifiable();
658         sort_(typename std::iterator_traits<typename STLT::iterator>::iterator_category());
659         return *this;
660 }
661
662 /** Specialization of container::unique_() for std::list. */
663 inline void container<std::list>::unique_()
664 {
665         this->seq.unique(ex_is_equal());
666 }
667
668 /** Remove adjacent duplicate elements. */
669 template <template <class> class C>
670 container<C> & container<C>::unique()
671 {
672         ensure_if_modifiable();
673         unique_();
674         return *this;
675 }
676
677 /** Print sequence of contained elements. */
678 template <template <class> class C>
679 void container<C>::printseq(const print_context & c, char openbracket, char delim,
680                             char closebracket, unsigned this_precedence,
681                             unsigned upper_precedence) const
682 {
683         if (this_precedence <= upper_precedence)
684                 c.s << openbracket;
685
686         if (!this->seq.empty()) {
687                 const_iterator it = this->seq.begin(), itend = this->seq.end();
688                 --itend;
689                 while (it != itend) {
690                         it->print(c, this_precedence);
691                         c.s << delim;
692                         ++it;
693                 }
694                 it->print(c, this_precedence);
695         }
696
697         if (this_precedence <= upper_precedence)
698                 c.s << closebracket;
699 }
700
701 template <template <class> class C>
702 typename container<C>::STLT container<C>::evalchildren(int level) const
703 {
704         if (level == 1)
705                 return this->seq;
706         else if (level == -max_recursion_level)
707                 throw std::runtime_error("max recursion level reached");
708
709         STLT s;
710         reserve(s, this->seq.size());
711
712         --level;
713         const_iterator it = this->seq.begin(), itend = this->seq.end();
714         while (it != itend) {
715                 s.push_back(it->eval(level));
716                 ++it;
717         }
718
719         return s;
720 }
721
722 template <template <class> class C>
723 std::auto_ptr<typename container<C>::STLT> container<C>::subschildren(const exmap & m, unsigned options) const
724 {
725         // returns a NULL pointer if nothing had to be substituted
726         // returns a pointer to a newly created epvector otherwise
727         // (and relinquishes responsibility for the epvector)
728
729         const_iterator cit = this->seq.begin(), end = this->seq.end();
730         while (cit != end) {
731                 const ex & subsed_ex = cit->subs(m, options);
732                 if (!are_ex_trivially_equal(*cit, subsed_ex)) {
733
734                         // copy first part of seq which hasn't changed
735                         std::auto_ptr<STLT> s(new STLT(this->seq.begin(), cit));
736                         reserve(*s, this->seq.size());
737
738                         // insert changed element
739                         s->push_back(subsed_ex);
740                         ++cit;
741
742                         // copy rest
743                         while (cit != end) {
744                                 s->push_back(cit->subs(m, options));
745                                 ++cit;
746                         }
747
748                         return s;
749                 }
750
751                 ++cit;
752         }
753         
754         return std::auto_ptr<STLT>(0); // nothing has changed
755 }
756
757 } // namespace GiNaC
758
759 #endif // ndef __GINAC_CONTAINER_H__