07e82e19d2578c73e6c10e3e9cf76caa6a60e797
[ginac.git] / ginac / function.pl
1 #  This perl script automatically generates function.h and function.cpp
2
3 #  function.pl options: \$maxargs=${maxargs}
4
5 #  GiNaC Copyright (C) 1999-2010 Johannes Gutenberg University Mainz, Germany
6
7 #  This program is free software; you can redistribute it and/or modify
8 #  it under the terms of the GNU General Public License as published by
9 #  the Free Software Foundation; either version 2 of the License, or
10 #  (at your option) any later version.
11
12 #  This program is distributed in the hope that it will be useful,
13 #  but WITHOUT ANY WARRANTY; without even the implied warranty of
14 #  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
15 #  GNU General Public License for more details.
16
17 #  You should have received a copy of the GNU General Public License
18 #  along with this program; if not, write to the Free Software
19 #  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
20
21 $maxargs=14;
22
23 sub generate_seq {
24         my ($seq_template,$n)=@_;
25         my ($res,$N);
26         
27         $res='';
28         for ($N=1; $N<=$n; $N++) {
29                 $res .= eval('"' . $seq_template . '"');
30                 if ($N!=$n) {
31                         $res .= ', ';
32                 }
33         }
34         return $res;
35 }
36
37 sub generate_from_to {
38         my ($template,$seq_template1,$seq_template2,$seq_template3,$from,$to)=@_;
39         my ($res,$N,$SEQ);
40
41         $res='';
42         for ($N=$from; $N<=$to; $N++) {
43                 $SEQ1=generate_seq($seq_template1,$N);
44                 $SEQ2=generate_seq($seq_template2,$N);
45                 $SEQ3=generate_seq($seq_template3,$N);
46                 $res .= eval('"' . $template . '"');
47                 $SEQ1=''; # to avoid main::SEQ1 used only once warning
48                 $SEQ2=''; # same as above
49                 $SEQ3=''; # same as above
50         }
51         return $res;
52 }
53
54 sub generate {
55         my ($template,$seq_template1,$seq_template2,$seq_template3)=@_;
56         return generate_from_to($template,$seq_template1,$seq_template2,$seq_template3,1,$maxargs);
57 }
58
59 $declare_function_macro = generate(
60         <<'END_OF_DECLARE_FUNCTION_MACRO','typename T${N}','const T${N} & p${N}','GiNaC::ex(p${N})');
61 #define DECLARE_FUNCTION_${N}P(NAME) \\
62 class NAME##_SERIAL { public: static unsigned serial; }; \\
63 const unsigned NAME##_NPARAMS = ${N}; \\
64 template<${SEQ1}> const GiNaC::function NAME(${SEQ2}) { \\
65         return GiNaC::function(NAME##_SERIAL::serial, ${SEQ3}); \\
66 }
67
68 END_OF_DECLARE_FUNCTION_MACRO
69
70 $typedef_eval_funcp=generate(
71 'typedef ex (* eval_funcp_${N})(${SEQ1});'."\n",
72 'const ex &','','');
73
74 $typedef_evalf_funcp=generate(
75 'typedef ex (* evalf_funcp_${N})(${SEQ1});'."\n",
76 'const ex &','','');
77
78 $typedef_conjugate_funcp=generate(
79 'typedef ex (* conjugate_funcp_${N})(${SEQ1});'."\n",
80 'const ex &','','');
81
82 $typedef_real_part_funcp=generate(
83 'typedef ex (* real_part_funcp_${N})(${SEQ1});'."\n",
84 'const ex &','','');
85
86 $typedef_imag_part_funcp=generate(
87 'typedef ex (* imag_part_funcp_${N})(${SEQ1});'."\n",
88 'const ex &','','');
89
90 $typedef_derivative_funcp=generate(
91 'typedef ex (* derivative_funcp_${N})(${SEQ1}, unsigned);'."\n",
92 'const ex &','','');
93
94 $typedef_power_funcp=generate(
95 'typedef ex (* power_funcp_${N})(${SEQ1}, const ex &);'."\n",
96 'const ex &','','');
97
98 $typedef_series_funcp=generate(
99 'typedef ex (* series_funcp_${N})(${SEQ1}, const relational &, int, unsigned);'."\n",
100 'const ex &','','');
101
102 $typedef_print_funcp=generate(
103 'typedef void (* print_funcp_${N})(${SEQ1}, const print_context &);'."\n",
104 'const ex &','','');
105
106 $eval_func_interface=generate('    function_options & eval_func(eval_funcp_${N} e);'."\n",'','','');
107
108 $evalf_func_interface=generate('    function_options & evalf_func(evalf_funcp_${N} ef);'."\n",'','','');
109
110 $conjugate_func_interface=generate('    function_options & conjugate_func(conjugate_funcp_${N} d);'."\n",'','','');
111
112 $real_part_func_interface=generate('    function_options & real_part_func(real_part_funcp_${N} d);'."\n",'','','');
113
114 $imag_part_func_interface=generate('    function_options & imag_part_func(imag_part_funcp_${N} d);'."\n",'','','');
115
116 $derivative_func_interface=generate('    function_options & derivative_func(derivative_funcp_${N} d);'."\n",'','','');
117
118 $power_func_interface=generate('    function_options & power_func(power_funcp_${N} d);'."\n",'','','');
119
120 $series_func_interface=generate('    function_options & series_func(series_funcp_${N} s);'."\n",'','','');
121
122 $print_func_interface=generate(
123         <<'END_OF_PRINT_FUNC_INTERFACE','','','');
124     template <class Ctx> function_options & print_func(print_funcp_${N} p)
125     {
126         test_and_set_nparams(${N});
127         set_print_func(Ctx::get_class_info_static().options.get_id(), print_funcp(p));
128         return *this;
129     }
130 END_OF_PRINT_FUNC_INTERFACE
131
132 $constructors_interface=generate(
133 '    function(unsigned ser, ${SEQ1});'."\n",
134 'const ex & param${N}','','');
135
136 $constructors_implementation=generate(
137         <<'END_OF_CONSTRUCTORS_IMPLEMENTATION','const ex & param${N}','param${N}','');
138 function::function(unsigned ser, ${SEQ1})
139         : exprseq(${SEQ2}), serial(ser)
140 {
141 }
142 END_OF_CONSTRUCTORS_IMPLEMENTATION
143
144 $eval_switch_statement=generate(
145         <<'END_OF_EVAL_SWITCH_STATEMENT','seq[${N}-1]','','');
146         case ${N}:
147                 eval_result = ((eval_funcp_${N})(opt.eval_f))(${SEQ1});
148                 break;
149 END_OF_EVAL_SWITCH_STATEMENT
150
151 $evalf_switch_statement=generate(
152         <<'END_OF_EVALF_SWITCH_STATEMENT','eseq[${N}-1]','','');
153         case ${N}:
154                 return ((evalf_funcp_${N})(opt.evalf_f))(${SEQ1});
155 END_OF_EVALF_SWITCH_STATEMENT
156
157 $conjugate_switch_statement=generate(
158         <<'END_OF_DIFF_SWITCH_STATEMENT','seq[${N}-1]','','');
159         case ${N}:
160                 return ((conjugate_funcp_${N})(opt.conjugate_f))(${SEQ1});
161 END_OF_DIFF_SWITCH_STATEMENT
162
163 $real_part_switch_statement=generate(
164         <<'END_OF_DIFF_SWITCH_STATEMENT','seq[${N}-1]','','');
165         case ${N}:
166                 return ((real_part_funcp_${N})(opt.real_part_f))(${SEQ1});
167 END_OF_DIFF_SWITCH_STATEMENT
168
169 $imag_part_switch_statement=generate(
170         <<'END_OF_DIFF_SWITCH_STATEMENT','seq[${N}-1]','','');
171         case ${N}:
172                 return ((imag_part_funcp_${N})(opt.imag_part_f))(${SEQ1});
173 END_OF_DIFF_SWITCH_STATEMENT
174
175 $diff_switch_statement=generate(
176         <<'END_OF_DIFF_SWITCH_STATEMENT','seq[${N}-1]','','');
177         case ${N}:
178                 return ((derivative_funcp_${N})(opt.derivative_f))(${SEQ1},diff_param);
179 END_OF_DIFF_SWITCH_STATEMENT
180
181 $power_switch_statement=generate(
182         <<'END_OF_POWER_SWITCH_STATEMENT','seq[${N}-1]','','');
183         case ${N}:
184                 return ((power_funcp_${N})(opt.power_f))(${SEQ1},power_param);
185 END_OF_POWER_SWITCH_STATEMENT
186
187 $series_switch_statement=generate(
188         <<'END_OF_SERIES_SWITCH_STATEMENT','seq[${N}-1]','','');
189         case ${N}:
190                 try {
191                         res = ((series_funcp_${N})(opt.series_f))(${SEQ1},r,order,options);
192                 } catch (do_taylor) {
193                         res = basic::series(r, order, options);
194                 }
195                 return res;
196 END_OF_SERIES_SWITCH_STATEMENT
197
198 $print_switch_statement=generate(
199         <<'END_OF_PRINT_SWITCH_STATEMENT','seq[${N}-1]','','');
200                 case ${N}:
201                         ((print_funcp_${N})(pdt[id]))(${SEQ1}, c);
202                         break;
203 END_OF_PRINT_SWITCH_STATEMENT
204
205 $eval_func_implementation=generate(
206         <<'END_OF_EVAL_FUNC_IMPLEMENTATION','','','');
207 function_options & function_options::eval_func(eval_funcp_${N} e)
208 {
209         test_and_set_nparams(${N});
210         eval_f = eval_funcp(e);
211         return *this;
212 }
213 END_OF_EVAL_FUNC_IMPLEMENTATION
214
215 $evalf_func_implementation=generate(
216         <<'END_OF_EVALF_FUNC_IMPLEMENTATION','','','');
217 function_options & function_options::evalf_func(evalf_funcp_${N} ef)
218 {
219         test_and_set_nparams(${N});
220         evalf_f = evalf_funcp(ef);
221         return *this;
222 }
223 END_OF_EVALF_FUNC_IMPLEMENTATION
224
225 $conjugate_func_implementation=generate(
226         <<'END_OF_CONJUGATE_FUNC_IMPLEMENTATION','','','');
227 function_options & function_options::conjugate_func(conjugate_funcp_${N} c)
228 {
229         test_and_set_nparams(${N});
230         conjugate_f = conjugate_funcp(c);
231         return *this;
232 }
233 END_OF_CONJUGATE_FUNC_IMPLEMENTATION
234
235 $real_part_func_implementation=generate(
236         <<'END_OF_REAL_PART_FUNC_IMPLEMENTATION','','','');
237 function_options & function_options::real_part_func(real_part_funcp_${N} c)
238 {
239         test_and_set_nparams(${N});
240         real_part_f = real_part_funcp(c);
241         return *this;
242 }
243 END_OF_REAL_PART_FUNC_IMPLEMENTATION
244
245 $imag_part_func_implementation=generate(
246         <<'END_OF_IMAG_PART_FUNC_IMPLEMENTATION','','','');
247 function_options & function_options::imag_part_func(imag_part_funcp_${N} c)
248 {
249         test_and_set_nparams(${N});
250         imag_part_f = imag_part_funcp(c);
251         return *this;
252 }
253 END_OF_IMAG_PART_FUNC_IMPLEMENTATION
254
255 $derivative_func_implementation=generate(
256         <<'END_OF_DERIVATIVE_FUNC_IMPLEMENTATION','','','');
257 function_options & function_options::derivative_func(derivative_funcp_${N} d)
258 {
259         test_and_set_nparams(${N});
260         derivative_f = derivative_funcp(d);
261         return *this;
262 }
263 END_OF_DERIVATIVE_FUNC_IMPLEMENTATION
264
265 $power_func_implementation=generate(
266         <<'END_OF_POWER_FUNC_IMPLEMENTATION','','','');
267 function_options & function_options::power_func(power_funcp_${N} d)
268 {
269         test_and_set_nparams(${N});
270         power_f = power_funcp(d);
271         return *this;
272 }
273 END_OF_POWER_FUNC_IMPLEMENTATION
274
275 $series_func_implementation=generate(
276         <<'END_OF_SERIES_FUNC_IMPLEMENTATION','','','');
277 function_options & function_options::series_func(series_funcp_${N} s)
278 {
279         test_and_set_nparams(${N});
280         series_f = series_funcp(s);
281         return *this;
282 }
283 END_OF_SERIES_FUNC_IMPLEMENTATION
284
285 $interface=<<END_OF_INTERFACE;
286 /** \@file function.h
287  *
288  *  Interface to class of symbolic functions. */
289
290 /*
291  *  This file was generated automatically by function.pl.
292  *  Please do not modify it directly, edit the perl script instead!
293  *  function.pl options: \$maxargs=${maxargs}
294  *
295  *  GiNaC Copyright (C) 1999-2010 Johannes Gutenberg University Mainz, Germany
296  *
297  *  This program is free software; you can redistribute it and/or modify
298  *  it under the terms of the GNU General Public License as published by
299  *  the Free Software Foundation; either version 2 of the License, or
300  *  (at your option) any later version.
301  *
302  *  This program is distributed in the hope that it will be useful,
303  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
304  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
305  *  GNU General Public License for more details.
306  *
307  *  You should have received a copy of the GNU General Public License
308  *  along with this program; if not, write to the Free Software
309  *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
310  */
311
312 #ifndef GINAC_FUNCTION_H
313 #define GINAC_FUNCTION_H
314
315 #include "exprseq.h"
316
317 // CINT needs <algorithm> to work properly with <vector>
318 #include <algorithm>
319 #include <string>
320 #include <vector>
321
322 // the following lines have been generated for max. ${maxargs} parameters
323 $declare_function_macro
324 // end of generated lines
325
326 #define REGISTER_FUNCTION(NAME,OPT) \\
327 unsigned NAME##_SERIAL::serial = \\
328         GiNaC::function::register_new(GiNaC::function_options(#NAME, NAME##_NPARAMS).OPT);
329
330 namespace GiNaC {
331
332 class function;
333 class symmetry;
334
335 typedef ex (* eval_funcp)();
336 typedef ex (* evalf_funcp)();
337 typedef ex (* conjugate_funcp)();
338 typedef ex (* real_part_funcp)();
339 typedef ex (* imag_part_funcp)();
340 typedef ex (* derivative_funcp)();
341 typedef ex (* power_funcp)();
342 typedef ex (* series_funcp)();
343 typedef void (* print_funcp)();
344
345 // the following lines have been generated for max. ${maxargs} parameters
346 $typedef_eval_funcp
347 $typedef_evalf_funcp
348 $typedef_conjugate_funcp
349 $typedef_real_part_funcp
350 $typedef_imag_part_funcp
351 $typedef_derivative_funcp
352 $typedef_power_funcp
353 $typedef_series_funcp
354 $typedef_print_funcp
355 // end of generated lines
356
357 // Alternatively, an exvector may be passed into the static function, instead
358 // of individual ex objects.  Then, the number of arguments is not limited.
359 typedef ex (* eval_funcp_exvector)(const exvector &);
360 typedef ex (* evalf_funcp_exvector)(const exvector &);
361 typedef ex (* conjugate_funcp_exvector)(const exvector &);
362 typedef ex (* real_part_funcp_exvector)(const exvector &);
363 typedef ex (* imag_part_funcp_exvector)(const exvector &);
364 typedef ex (* derivative_funcp_exvector)(const exvector &, unsigned);
365 typedef ex (* power_funcp_exvector)(const exvector &, const ex &);
366 typedef ex (* series_funcp_exvector)(const exvector &, const relational &, int, unsigned);
367 typedef void (* print_funcp_exvector)(const exvector &, const print_context &);
368
369
370 class function_options
371 {
372         friend class function;
373         friend class fderivative;
374 public:
375         function_options();
376         function_options(std::string const & n, std::string const & tn=std::string());
377         function_options(std::string const & n, unsigned np);
378         ~function_options();
379         void initialize();
380
381         function_options & dummy() { return *this; }
382         function_options & set_name(std::string const & n, std::string const & tn=std::string());
383         function_options & latex_name(std::string const & tn);
384 // the following lines have been generated for max. ${maxargs} parameters
385 $eval_func_interface
386 $evalf_func_interface
387 $conjugate_func_interface
388 $real_part_func_interface
389 $imag_part_func_interface
390 $derivative_func_interface
391 $power_func_interface
392 $series_func_interface
393 $print_func_interface
394 // end of generated lines
395         function_options & eval_func(eval_funcp_exvector e);
396         function_options & evalf_func(evalf_funcp_exvector ef);
397         function_options & conjugate_func(conjugate_funcp_exvector d);
398         function_options & real_part_func(real_part_funcp_exvector d);
399         function_options & imag_part_func(imag_part_funcp_exvector d);
400         function_options & derivative_func(derivative_funcp_exvector d);
401         function_options & power_func(power_funcp_exvector d);
402         function_options & series_func(series_funcp_exvector s);
403
404         template <class Ctx> function_options & print_func(print_funcp_exvector p)
405         {
406                 print_use_exvector_args = true;
407                 set_print_func(Ctx::get_class_info_static().options.get_id(), print_funcp(p));
408                 return *this;
409         }
410
411         function_options & set_return_type(unsigned rt, const return_type_t* rtt = 0);
412         function_options & do_not_evalf_params();
413         function_options & remember(unsigned size, unsigned assoc_size=0,
414                                     unsigned strategy=remember_strategies::delete_never);
415         function_options & overloaded(unsigned o);
416         function_options & set_symmetry(const symmetry & s);
417
418         std::string get_name() const { return name; }
419         unsigned get_nparams() const { return nparams; }
420
421 protected:
422         bool has_derivative() const { return derivative_f != NULL; }
423         bool has_power() const { return power_f != NULL; }
424         void test_and_set_nparams(unsigned n);
425         void set_print_func(unsigned id, print_funcp f);
426
427         std::string name;
428         std::string TeX_name;
429
430         unsigned nparams;
431
432         eval_funcp eval_f;
433         evalf_funcp evalf_f;
434         conjugate_funcp conjugate_f;
435         real_part_funcp real_part_f;
436         imag_part_funcp imag_part_f;
437         derivative_funcp derivative_f;
438         power_funcp power_f;
439         series_funcp series_f;
440         std::vector<print_funcp> print_dispatch_table;
441
442         bool evalf_params_first;
443
444         bool use_return_type;
445         unsigned return_type;
446         return_type_t return_type_tinfo;
447
448         bool use_remember;
449         unsigned remember_size;
450         unsigned remember_assoc_size;
451         unsigned remember_strategy;
452
453         bool eval_use_exvector_args;
454         bool evalf_use_exvector_args;
455         bool conjugate_use_exvector_args;
456         bool real_part_use_exvector_args;
457         bool imag_part_use_exvector_args;
458         bool derivative_use_exvector_args;
459         bool power_use_exvector_args;
460         bool series_use_exvector_args;
461         bool print_use_exvector_args;
462
463         unsigned functions_with_same_name;
464
465         ex symtree;
466 };
467
468
469 /** Exception class thrown by classes which provide their own series expansion
470  *  to signal that ordinary Taylor expansion is safe. */
471 class do_taylor {};
472
473
474 /** The class function is used to implement builtin functions like sin, cos...
475         and user defined functions */
476 class function : public exprseq
477 {
478         GINAC_DECLARE_REGISTERED_CLASS(function, exprseq)
479
480         // CINT has a linking problem
481 #ifndef __MAKECINT__
482         friend void ginsh_get_ginac_functions();
483 #endif // def __MAKECINT__
484
485         friend class remember_table_entry;
486         // friend class remember_table_list;
487         // friend class remember_table;
488
489 // member functions
490
491         // other constructors
492 public:
493         function(unsigned ser);
494         // the following lines have been generated for max. ${maxargs} parameters
495 $constructors_interface
496         // end of generated lines
497         function(unsigned ser, const exprseq & es);
498         function(unsigned ser, const exvector & v, bool discardable = false);
499         function(unsigned ser, std::auto_ptr<exvector> vp);
500
501         // functions overriding virtual functions from base classes
502 public:
503         void print(const print_context & c, unsigned level = 0) const;
504         unsigned precedence() const {return 70;}
505         ex expand(unsigned options=0) const;
506         ex eval(int level=0) const;
507         ex evalf(int level=0) const;
508         ex eval_ncmul(const exvector & v) const;
509         unsigned calchash() const;
510         ex series(const relational & r, int order, unsigned options = 0) const;
511         ex thiscontainer(const exvector & v) const;
512         ex thiscontainer(std::auto_ptr<exvector> vp) const;
513         ex conjugate() const;
514         ex real_part() const;
515         ex imag_part() const;
516         void archive(archive_node& n) const;
517         void read_archive(const archive_node& n, lst& syms);
518 protected:
519         ex derivative(const symbol & s) const;
520         bool is_equal_same_type(const basic & other) const;
521         bool match_same_type(const basic & other) const;
522         unsigned return_type() const;
523         return_type_t return_type_tinfo() const;
524         
525         // new virtual functions which can be overridden by derived classes
526         // none
527         
528         // non-virtual functions in this class
529 protected:
530         ex pderivative(unsigned diff_param) const; // partial differentiation
531         static std::vector<function_options> & registered_functions();
532         bool lookup_remember_table(ex & result) const;
533         void store_remember_table(ex const & result) const;
534 public:
535         ex power(const ex & exp) const;
536         static unsigned register_new(function_options const & opt);
537         static unsigned current_serial;
538         static unsigned find_function(const std::string &name, unsigned nparams);
539         static std::vector<function_options> get_registered_functions() { return registered_functions(); };
540         unsigned get_serial() const {return serial;}
541         std::string get_name() const;
542
543 // member variables
544
545 protected:
546         unsigned serial;
547 };
548 GINAC_DECLARE_UNARCHIVER(function);
549
550 // utility functions/macros
551
552 template <typename T>
553 inline bool is_the_function(const ex & x)
554 {
555         return is_exactly_a<function>(x)
556             && ex_to<function>(x).get_serial() == T::serial;
557 }
558
559 // Check whether OBJ is the specified symbolic function.
560 #define is_ex_the_function(OBJ, FUNCNAME) (GiNaC::is_the_function<FUNCNAME##_SERIAL>(OBJ))
561
562 } // namespace GiNaC
563
564 #endif // ndef GINAC_FUNCTION_H
565
566 END_OF_INTERFACE
567
568 $implementation=<<END_OF_IMPLEMENTATION;
569 /** \@file function.cpp
570  *
571  *  Implementation of class of symbolic functions. */
572
573 /*
574  *  This file was generated automatically by function.pl.
575  *  Please do not modify it directly, edit the perl script instead!
576  *  function.pl options: \$maxargs=${maxargs}
577  *
578  *  GiNaC Copyright (C) 1999-2010 Johannes Gutenberg University Mainz, Germany
579  *
580  *  This program is free software; you can redistribute it and/or modify
581  *  it under the terms of the GNU General Public License as published by
582  *  the Free Software Foundation; either version 2 of the License, or
583  *  (at your option) any later version.
584  *
585  *  This program is distributed in the hope that it will be useful,
586  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
587  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
588  *  GNU General Public License for more details.
589  *
590  *  You should have received a copy of the GNU General Public License
591  *  along with this program; if not, write to the Free Software
592  *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
593  */
594
595 #include "function.h"
596 #include "operators.h"
597 #include "fderivative.h"
598 #include "ex.h"
599 #include "lst.h"
600 #include "symmetry.h"
601 #include "print.h"
602 #include "power.h"
603 #include "archive.h"
604 #include "inifcns.h"
605 #include "tostring.h"
606 #include "utils.h"
607 #include "hash_seed.h"
608 #include "remember.h"
609
610 #include <iostream>
611 #include <limits>
612 #include <list>
613 #include <stdexcept>
614 #include <string>
615
616 namespace GiNaC {
617
618 //////////
619 // helper class function_options
620 //////////
621
622 function_options::function_options()
623 {
624         initialize();
625 }
626
627 function_options::function_options(std::string const & n, std::string const & tn)
628 {
629         initialize();
630         set_name(n, tn);
631 }
632
633 function_options::function_options(std::string const & n, unsigned np)
634 {
635         initialize();
636         set_name(n, std::string());
637         nparams = np;
638 }
639
640 function_options::~function_options()
641 {
642         // nothing to clean up at the moment
643 }
644
645 void function_options::initialize()
646 {
647         set_name("unnamed_function", "\\\\mbox{unnamed}");
648         nparams = 0;
649         eval_f = evalf_f = real_part_f = imag_part_f = conjugate_f = derivative_f
650                 = power_f = series_f = 0;
651         evalf_params_first = true;
652         use_return_type = false;
653         eval_use_exvector_args = false;
654         evalf_use_exvector_args = false;
655         conjugate_use_exvector_args = false;
656         real_part_use_exvector_args = false;
657         imag_part_use_exvector_args = false;
658         derivative_use_exvector_args = false;
659         power_use_exvector_args = false;
660         series_use_exvector_args = false;
661         print_use_exvector_args = false;
662         use_remember = false;
663         functions_with_same_name = 1;
664         symtree = 0;
665 }
666
667 function_options & function_options::set_name(std::string const & n,
668                                               std::string const & tn)
669 {
670         name = n;
671         if (tn==std::string())
672                 TeX_name = "\\\\mbox{"+name+"}";
673         else
674                 TeX_name = tn;
675         return *this;
676 }
677
678 function_options & function_options::latex_name(std::string const & tn)
679 {
680         TeX_name = tn;
681         return *this;
682 }
683
684 // the following lines have been generated for max. ${maxargs} parameters
685 $eval_func_implementation
686 $evalf_func_implementation
687 $conjugate_func_implementation
688 $real_part_func_implementation
689 $imag_part_func_implementation
690 $derivative_func_implementation
691 $power_func_implementation
692 $series_func_implementation
693 // end of generated lines
694
695 function_options& function_options::eval_func(eval_funcp_exvector e)
696 {
697         eval_use_exvector_args = true;
698         eval_f = eval_funcp(e);
699         return *this;
700 }
701 function_options& function_options::evalf_func(evalf_funcp_exvector ef)
702 {
703         evalf_use_exvector_args = true;
704         evalf_f = evalf_funcp(ef);
705         return *this;
706 }
707 function_options& function_options::conjugate_func(conjugate_funcp_exvector c)
708 {
709         conjugate_use_exvector_args = true;
710         conjugate_f = conjugate_funcp(c);
711         return *this;
712 }
713 function_options& function_options::real_part_func(real_part_funcp_exvector c)
714 {
715         real_part_use_exvector_args = true;
716         real_part_f = real_part_funcp(c);
717         return *this;
718 }
719 function_options& function_options::imag_part_func(imag_part_funcp_exvector c)
720 {
721         imag_part_use_exvector_args = true;
722         imag_part_f = imag_part_funcp(c);
723         return *this;
724 }
725
726 function_options& function_options::derivative_func(derivative_funcp_exvector d)
727 {
728         derivative_use_exvector_args = true;
729         derivative_f = derivative_funcp(d);
730         return *this;
731 }
732 function_options& function_options::power_func(power_funcp_exvector d)
733 {
734         power_use_exvector_args = true;
735         power_f = power_funcp(d);
736         return *this;
737 }
738 function_options& function_options::series_func(series_funcp_exvector s)
739 {
740         series_use_exvector_args = true;
741         series_f = series_funcp(s);
742         return *this;
743 }
744
745 function_options & function_options::set_return_type(unsigned rt, const return_type_t* rtt)
746 {
747         use_return_type = true;
748         return_type = rt;
749         if (rtt != 0)
750                 return_type_tinfo = *rtt;
751         else
752                 return_type_tinfo = make_return_type_t<function>();
753         return *this;
754 }
755
756 function_options & function_options::do_not_evalf_params()
757 {
758         evalf_params_first = false;
759         return *this;
760 }
761
762 function_options & function_options::remember(unsigned size,
763                                               unsigned assoc_size,
764                                               unsigned strategy)
765 {
766         use_remember = true;
767         remember_size = size;
768         remember_assoc_size = assoc_size;
769         remember_strategy = strategy;
770         return *this;
771 }
772
773 function_options & function_options::overloaded(unsigned o)
774 {
775         functions_with_same_name = o;
776         return *this;
777 }
778
779 function_options & function_options::set_symmetry(const symmetry & s)
780 {
781         symtree = s;
782         return *this;
783 }
784         
785 void function_options::test_and_set_nparams(unsigned n)
786 {
787         if (nparams==0) {
788                 nparams = n;
789         } else if (nparams!=n) {
790                 // we do not throw an exception here because this code is
791                 // usually executed before main(), so the exception could not
792                 // be caught anyhow
793                 std::cerr << "WARNING: " << name << "(): number of parameters ("
794                           << n << ") differs from number set before (" 
795                           << nparams << ")" << std::endl;
796         }
797 }
798
799 void function_options::set_print_func(unsigned id, print_funcp f)
800 {
801         if (id >= print_dispatch_table.size())
802                 print_dispatch_table.resize(id + 1);
803         print_dispatch_table[id] = f;
804 }
805
806 /** This can be used as a hook for external applications. */
807 unsigned function::current_serial = 0;
808
809
810 GINAC_IMPLEMENT_REGISTERED_CLASS(function, exprseq)
811
812 //////////
813 // default constructor
814 //////////
815
816 // public
817
818 function::function() : serial(0)
819 {
820 }
821
822 //////////
823 // other constructors
824 //////////
825
826 // public
827
828 function::function(unsigned ser) : serial(ser)
829 {
830 }
831
832 // the following lines have been generated for max. ${maxargs} parameters
833 $constructors_implementation
834 // end of generated lines
835
836 function::function(unsigned ser, const exprseq & es) : exprseq(es), serial(ser)
837 {
838
839         // Force re-evaluation even if the exprseq was already evaluated
840         // (the exprseq copy constructor copies the flags)
841         clearflag(status_flags::evaluated);
842 }
843
844 function::function(unsigned ser, const exvector & v, bool discardable) 
845   : exprseq(v,discardable), serial(ser)
846 {
847 }
848
849 function::function(unsigned ser, std::auto_ptr<exvector> vp) 
850   : exprseq(vp), serial(ser)
851 {
852 }
853
854 //////////
855 // archiving
856 //////////
857
858 /** Construct object from archive_node. */
859 void function::read_archive(const archive_node& n, lst& sym_lst)
860 {
861         inherited::read_archive(n, sym_lst);
862         // Find serial number by function name
863         std::string s;
864         if (n.find_string("name", s)) {
865                 unsigned int ser = 0;
866                 std::vector<function_options>::const_iterator i = registered_functions().begin(), iend = registered_functions().end();
867                 while (i != iend) {
868                         if (s == i->name) {
869                                 serial = ser;
870                                 return;
871                         }
872                         ++i; ++ser;
873                 }
874                 throw (std::runtime_error("unknown function '" + s + "' in archive"));
875         } else
876                 throw (std::runtime_error("unnamed function in archive"));
877 }
878
879 /** Archive the object. */
880 void function::archive(archive_node &n) const
881 {
882         inherited::archive(n);
883         GINAC_ASSERT(serial < registered_functions().size());
884         n.add_string("name", registered_functions()[serial].name);
885 }
886
887 GINAC_BIND_UNARCHIVER(function);
888
889 //////////
890 // functions overriding virtual functions from base classes
891 //////////
892
893 // public
894
895 void function::print(const print_context & c, unsigned level) const
896 {
897         GINAC_ASSERT(serial<registered_functions().size());
898         const function_options &opt = registered_functions()[serial];
899         const std::vector<print_funcp> &pdt = opt.print_dispatch_table;
900
901         // Dynamically dispatch on print_context type
902         const print_context_class_info *pc_info = &c.get_class_info();
903
904 next_context:
905         unsigned id = pc_info->options.get_id();
906         if (id >= pdt.size() || pdt[id] == NULL) {
907
908                 // Method not found, try parent print_context class
909                 const print_context_class_info *parent_pc_info = pc_info->get_parent();
910                 if (parent_pc_info) {
911                         pc_info = parent_pc_info;
912                         goto next_context;
913                 }
914
915                 // Method still not found, use default output
916                 if (is_a<print_tree>(c)) {
917
918                         c.s << std::string(level, ' ') << class_name() << " "
919                             << opt.name << " @" << this
920                             << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
921                             << ", nops=" << nops()
922                             << std::endl;
923                         unsigned delta_indent = static_cast<const print_tree &>(c).delta_indent;
924                         for (size_t i=0; i<seq.size(); ++i)
925                                 seq[i].print(c, level + delta_indent);
926                         c.s << std::string(level + delta_indent, ' ') << "=====" << std::endl;
927
928                 } else if (is_a<print_csrc>(c)) {
929
930                         // Print function name in lowercase
931                         std::string lname = opt.name;
932                         size_t num = lname.size();
933                         for (size_t i=0; i<num; i++)
934                                 lname[i] = tolower(lname[i]);
935                         c.s << lname;
936                         printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
937
938                 } else if (is_a<print_latex>(c)) {
939                         c.s << opt.TeX_name;
940                         printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
941                 } else {
942                         c.s << opt.name;
943                         printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
944                 }
945
946         } else {
947
948                 // Method found, call it
949                 current_serial = serial;
950                 if (opt.print_use_exvector_args)
951                         ((print_funcp_exvector)pdt[id])(seq, c);
952                 else switch (opt.nparams) {
953                         // the following lines have been generated for max. ${maxargs} parameters
954 ${print_switch_statement}
955                         // end of generated lines
956                 default:
957                         throw(std::logic_error("function::print(): invalid nparams"));
958                 }
959         }
960 }
961
962 ex function::expand(unsigned options) const
963 {
964         // Only expand arguments when asked to do so
965         if (options & expand_options::expand_function_args)
966                 return inherited::expand(options);
967         else
968                 return (options == 0) ? setflag(status_flags::expanded) : *this;
969 }
970
971 ex function::eval(int level) const
972 {
973         if (level>1) {
974                 // first evaluate children, then we will end up here again
975                 return function(serial,evalchildren(level));
976         }
977
978         GINAC_ASSERT(serial<registered_functions().size());
979         const function_options &opt = registered_functions()[serial];
980
981         // Canonicalize argument order according to the symmetry properties
982         if (seq.size() > 1 && !(opt.symtree.is_zero())) {
983                 exvector v = seq;
984                 GINAC_ASSERT(is_a<symmetry>(opt.symtree));
985                 int sig = canonicalize(v.begin(), ex_to<symmetry>(opt.symtree));
986                 if (sig != std::numeric_limits<int>::max()) {
987                         // Something has changed while sorting arguments, more evaluations later
988                         if (sig == 0)
989                                 return _ex0;
990                         return ex(sig) * thiscontainer(v);
991                 }
992         }
993
994         if (opt.eval_f==0) {
995                 return this->hold();
996         }
997
998         bool use_remember = opt.use_remember;
999         ex eval_result;
1000         if (use_remember && lookup_remember_table(eval_result)) {
1001                 return eval_result;
1002         }
1003         current_serial = serial;
1004         if (opt.eval_use_exvector_args)
1005                 eval_result = ((eval_funcp_exvector)(opt.eval_f))(seq);
1006         else
1007         switch (opt.nparams) {
1008                 // the following lines have been generated for max. ${maxargs} parameters
1009 ${eval_switch_statement}
1010                 // end of generated lines
1011         default:
1012                 throw(std::logic_error("function::eval(): invalid nparams"));
1013         }
1014         if (use_remember) {
1015                 store_remember_table(eval_result);
1016         }
1017         return eval_result;
1018 }
1019
1020 ex function::evalf(int level) const
1021 {
1022         GINAC_ASSERT(serial<registered_functions().size());
1023         const function_options &opt = registered_functions()[serial];
1024
1025         // Evaluate children first
1026         exvector eseq;
1027         if (level == 1 || !(opt.evalf_params_first))
1028                 eseq = seq;
1029         else if (level == -max_recursion_level)
1030                 throw(std::runtime_error("max recursion level reached"));
1031         else {
1032                 eseq.reserve(seq.size());
1033                 --level;
1034                 exvector::const_iterator it = seq.begin(), itend = seq.end();
1035                 while (it != itend) {
1036                         eseq.push_back(it->evalf(level));
1037                         ++it;
1038                 }
1039         }
1040
1041         if (opt.evalf_f==0) {
1042                 return function(serial,eseq).hold();
1043         }
1044         current_serial = serial;
1045         if (opt.evalf_use_exvector_args)
1046                 return ((evalf_funcp_exvector)(opt.evalf_f))(seq);
1047         switch (opt.nparams) {
1048                 // the following lines have been generated for max. ${maxargs} parameters
1049 ${evalf_switch_statement}
1050                 // end of generated lines
1051         }
1052         throw(std::logic_error("function::evalf(): invalid nparams"));
1053 }
1054
1055 /**
1056  *  This method is defined to be in line with behaviour of function::return_type()
1057  */
1058 ex function::eval_ncmul(const exvector & v) const
1059 {
1060         // If this function is called then the list of arguments is non-empty
1061         // and the first argument is non-commutative, see  function::return_type()
1062         return seq.begin()->eval_ncmul(v);
1063 }
1064
1065 unsigned function::calchash() const
1066 {
1067         unsigned v = golden_ratio_hash(make_hash_seed(typeid(*this)) ^ serial);
1068         for (size_t i=0; i<nops(); i++) {
1069                 v = rotate_left(v);
1070                 v ^= this->op(i).gethash();
1071         }
1072
1073         if (flags & status_flags::evaluated) {
1074                 setflag(status_flags::hash_calculated);
1075                 hashvalue = v;
1076         }
1077         return v;
1078 }
1079
1080 ex function::thiscontainer(const exvector & v) const
1081 {
1082         return function(serial, v);
1083 }
1084
1085 ex function::thiscontainer(std::auto_ptr<exvector> vp) const
1086 {
1087         return function(serial, vp);
1088 }
1089
1090 /** Implementation of ex::series for functions.
1091  *  \@see ex::series */
1092 ex function::series(const relational & r, int order, unsigned options) const
1093 {
1094         GINAC_ASSERT(serial<registered_functions().size());
1095         const function_options &opt = registered_functions()[serial];
1096
1097         if (opt.series_f==0) {
1098                 return basic::series(r, order);
1099         }
1100         ex res;
1101         current_serial = serial;
1102         if (opt.series_use_exvector_args) {
1103                 try {
1104                         res = ((series_funcp_exvector)(opt.series_f))(seq, r, order, options);
1105                 } catch (do_taylor) {
1106                         res = basic::series(r, order, options);
1107                 }
1108                 return res;
1109         }
1110         switch (opt.nparams) {
1111                 // the following lines have been generated for max. ${maxargs} parameters
1112 ${series_switch_statement}
1113                 // end of generated lines
1114         }
1115         throw(std::logic_error("function::series(): invalid nparams"));
1116 }
1117
1118 /** Implementation of ex::conjugate for functions. */
1119 ex function::conjugate() const
1120 {
1121         GINAC_ASSERT(serial<registered_functions().size());
1122         const function_options & opt = registered_functions()[serial];
1123
1124         if (opt.conjugate_f==0) {
1125                 return conjugate_function(*this).hold();
1126         }
1127
1128         if (opt.conjugate_use_exvector_args) {
1129                 return ((conjugate_funcp_exvector)(opt.conjugate_f))(seq);
1130         }
1131
1132         switch (opt.nparams) {
1133                 // the following lines have been generated for max. ${maxargs} parameters
1134 ${conjugate_switch_statement}
1135                 // end of generated lines
1136         }
1137         throw(std::logic_error("function::conjugate(): invalid nparams"));
1138 }
1139
1140 /** Implementation of ex::real_part for functions. */
1141 ex function::real_part() const
1142 {
1143         GINAC_ASSERT(serial<registered_functions().size());
1144         const function_options & opt = registered_functions()[serial];
1145
1146         if (opt.real_part_f==0)
1147                 return basic::real_part();
1148
1149         if (opt.real_part_use_exvector_args)
1150                 return ((real_part_funcp_exvector)(opt.real_part_f))(seq);
1151
1152         switch (opt.nparams) {
1153                 // the following lines have been generated for max. ${maxargs} parameters
1154 ${real_part_switch_statement}
1155                 // end of generated lines
1156         }
1157         throw(std::logic_error("function::real_part(): invalid nparams"));
1158 }
1159
1160 /** Implementation of ex::imag_part for functions. */
1161 ex function::imag_part() const
1162 {
1163         GINAC_ASSERT(serial<registered_functions().size());
1164         const function_options & opt = registered_functions()[serial];
1165
1166         if (opt.imag_part_f==0)
1167                 return basic::imag_part();
1168
1169         if (opt.imag_part_use_exvector_args)
1170                 return ((imag_part_funcp_exvector)(opt.imag_part_f))(seq);
1171
1172         switch (opt.nparams) {
1173                 // the following lines have been generated for max. ${maxargs} parameters
1174 ${imag_part_switch_statement}
1175                 // end of generated lines
1176         }
1177         throw(std::logic_error("function::imag_part(): invalid nparams"));
1178 }
1179
1180 // protected
1181
1182 /** Implementation of ex::diff() for functions. It applies the chain rule,
1183  *  except for the Order term function.
1184  *  \@see ex::diff */
1185 ex function::derivative(const symbol & s) const
1186 {
1187         ex result;
1188
1189         if (serial == Order_SERIAL::serial) {
1190                 // Order Term function only differentiates the argument
1191                 return Order(seq[0].diff(s));
1192         } else {
1193                 // Chain rule
1194                 ex arg_diff;
1195                 size_t num = seq.size();
1196                 for (size_t i=0; i<num; i++) {
1197                         arg_diff = seq[i].diff(s);
1198                         // We apply the chain rule only when it makes sense.  This is not
1199                         // just for performance reasons but also to allow functions to
1200                         // throw when differentiated with respect to one of its arguments
1201                         // without running into trouble with our automatic full
1202                         // differentiation:
1203                         if (!arg_diff.is_zero())
1204                                 result += pderivative(i)*arg_diff;
1205                 }
1206         }
1207         return result;
1208 }
1209
1210 int function::compare_same_type(const basic & other) const
1211 {
1212         GINAC_ASSERT(is_a<function>(other));
1213         const function & o = static_cast<const function &>(other);
1214
1215         if (serial != o.serial)
1216                 return serial < o.serial ? -1 : 1;
1217         else
1218                 return exprseq::compare_same_type(o);
1219 }
1220
1221 bool function::is_equal_same_type(const basic & other) const
1222 {
1223         GINAC_ASSERT(is_a<function>(other));
1224         const function & o = static_cast<const function &>(other);
1225
1226         if (serial != o.serial)
1227                 return false;
1228         else
1229                 return exprseq::is_equal_same_type(o);
1230 }
1231
1232 bool function::match_same_type(const basic & other) const
1233 {
1234         GINAC_ASSERT(is_a<function>(other));
1235         const function & o = static_cast<const function &>(other);
1236
1237         return serial == o.serial;
1238 }
1239
1240 unsigned function::return_type() const
1241 {
1242         GINAC_ASSERT(serial<registered_functions().size());
1243         const function_options &opt = registered_functions()[serial];
1244
1245         if (opt.use_return_type) {
1246                 // Return type was explicitly specified
1247                 return opt.return_type;
1248         } else {
1249                 // Default behavior is to use the return type of the first
1250                 // argument. Thus, exp() of a matrix behaves like a matrix, etc.
1251                 if (seq.empty())
1252                         return return_types::commutative;
1253                 else
1254                         return seq.begin()->return_type();
1255         }
1256 }
1257
1258 return_type_t function::return_type_tinfo() const
1259 {
1260         GINAC_ASSERT(serial<registered_functions().size());
1261         const function_options &opt = registered_functions()[serial];
1262
1263         if (opt.use_return_type) {
1264                 // Return type was explicitly specified
1265                 return opt.return_type_tinfo;
1266         } else {
1267                 // Default behavior is to use the return type of the first
1268                 // argument. Thus, exp() of a matrix behaves like a matrix, etc.
1269                 if (seq.empty())
1270                         return make_return_type_t<function>();
1271                 else
1272                         return seq.begin()->return_type_tinfo();
1273         }
1274 }
1275
1276 //////////
1277 // new virtual functions which can be overridden by derived classes
1278 //////////
1279
1280 // none
1281
1282 //////////
1283 // non-virtual functions in this class
1284 //////////
1285
1286 // protected
1287
1288 ex function::pderivative(unsigned diff_param) const // partial differentiation
1289 {
1290         GINAC_ASSERT(serial<registered_functions().size());
1291         const function_options &opt = registered_functions()[serial];
1292         
1293         // No derivative defined? Then return abstract derivative object
1294         if (opt.derivative_f == NULL)
1295                 return fderivative(serial, diff_param, seq);
1296
1297         current_serial = serial;
1298         if (opt.derivative_use_exvector_args)
1299                 return ((derivative_funcp_exvector)(opt.derivative_f))(seq, diff_param);
1300         switch (opt.nparams) {
1301                 // the following lines have been generated for max. ${maxargs} parameters
1302 ${diff_switch_statement}
1303                 // end of generated lines
1304         }
1305         throw(std::logic_error("function::pderivative(): no diff function defined"));
1306 }
1307
1308 ex function::power(const ex & power_param) const // power of function
1309 {
1310         GINAC_ASSERT(serial<registered_functions().size());
1311         const function_options &opt = registered_functions()[serial];
1312         
1313         // No derivative defined? Then return abstract derivative object
1314         if (opt.power_f == NULL)
1315                 return (new GiNaC::power(*this, power_param))->setflag(status_flags::dynallocated |
1316                                                                        status_flags::evaluated);
1317
1318         current_serial = serial;
1319         if (opt.power_use_exvector_args)
1320                 return ((power_funcp_exvector)(opt.power_f))(seq,  power_param);
1321         switch (opt.nparams) {
1322                 // the following lines have been generated for max. ${maxargs} parameters
1323 ${power_switch_statement}
1324                 // end of generated lines
1325         }
1326         throw(std::logic_error("function::power(): no power function defined"));
1327 }
1328
1329 std::vector<function_options> & function::registered_functions()
1330 {
1331         static std::vector<function_options> rf = std::vector<function_options>();
1332         return rf;
1333 }
1334
1335 bool function::lookup_remember_table(ex & result) const
1336 {
1337         return remember_table::remember_tables()[this->serial].lookup_entry(*this,result);
1338 }
1339
1340 void function::store_remember_table(ex const & result) const
1341 {
1342         remember_table::remember_tables()[this->serial].add_entry(*this,result);
1343 }
1344
1345 // public
1346
1347 unsigned function::register_new(function_options const & opt)
1348 {
1349         size_t same_name = 0;
1350         for (size_t i=0; i<registered_functions().size(); ++i) {
1351                 if (registered_functions()[i].name==opt.name) {
1352                         ++same_name;
1353                 }
1354         }
1355         if (same_name>=opt.functions_with_same_name) {
1356                 // we do not throw an exception here because this code is
1357                 // usually executed before main(), so the exception could not
1358                 // caught anyhow
1359                 std::cerr << "WARNING: function name " << opt.name
1360                           << " already in use!" << std::endl;
1361         }
1362         registered_functions().push_back(opt);
1363         if (opt.use_remember) {
1364                 remember_table::remember_tables().
1365                         push_back(remember_table(opt.remember_size,
1366                                                  opt.remember_assoc_size,
1367                                                  opt.remember_strategy));
1368         } else {
1369                 remember_table::remember_tables().push_back(remember_table());
1370         }
1371         return registered_functions().size()-1;
1372 }
1373
1374 /** Find serial number of function by name and number of parameters.
1375  *  Throws exception if function was not found. */
1376 unsigned function::find_function(const std::string &name, unsigned nparams)
1377 {
1378         std::vector<function_options>::const_iterator i = function::registered_functions().begin(), end = function::registered_functions().end();
1379         unsigned serial = 0;
1380         while (i != end) {
1381                 if (i->get_name() == name && i->get_nparams() == nparams)
1382                         return serial;
1383                 ++i;
1384                 ++serial;
1385         }
1386         throw (std::runtime_error("no function '" + name + "' with " + ToString(nparams) + " parameters defined"));
1387 }
1388
1389 /** Return the print name of the function. */
1390 std::string function::get_name() const
1391 {
1392         GINAC_ASSERT(serial<registered_functions().size());
1393         return registered_functions()[serial].name;
1394 }
1395
1396 } // namespace GiNaC
1397
1398 END_OF_IMPLEMENTATION
1399
1400 print "Creating interface file function.h...";
1401 open OUT,">function.h" or die "cannot open function.h";
1402 print OUT $interface;
1403 close OUT;
1404 print "ok.\n";
1405
1406 print "Creating implementation file function.cpp...";
1407 open OUT,">function.cpp" or die "cannot open function.cpp";
1408 print OUT $implementation;
1409 close OUT;
1410 print "ok.\n";
1411
1412 print "done.\n";