4 my ($seq_template,$n)=@_;
8 for ($N=1; $N<=$n; $N++) {
9 $res .= eval('"' . $seq_template . '"');
17 sub generate_from_to {
18 my ($template,$seq_template1,$seq_template2,$from,$to)=@_;
22 for ($N=$from; $N<=$to; $N++) {
23 $SEQ1=generate_seq($seq_template1,$N);
24 $SEQ2=generate_seq($seq_template2,$N);
25 $res .= eval('"' . $template . '"');
26 $SEQ1=''; # to avoid main::SEQ1 used only once warning
27 $SEQ2=''; # same as above
33 my ($template,$seq_template1,$seq_template2)=@_;
34 return generate_from_to($template,$seq_template1,$seq_template2,1,$maxargs);
37 $declare_function_macro = <<'END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO';
38 #define DECLARE_FUNCTION_1P(NAME) \
39 extern const unsigned function_index_##NAME; \
40 inline GiNaC::function NAME(const GiNaC::ex & p1) { \
41 return GiNaC::function(function_index_##NAME, p1); \
43 #define DECLARE_FUNCTION_2P(NAME) \
44 extern const unsigned function_index_##NAME; \
45 inline GiNaC::function NAME(const GiNaC::ex & p1, const GiNaC::ex & p2) { \
46 return GiNaC::function(function_index_##NAME, p1, p2); \
49 END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO
51 $declare_function_macro .= generate_from_to(
52 <<'END_OF_DECLARE_FUNCTION_MACRO','const GiNaC::ex & p${N}','p${N}',3,$maxargs);
53 #define DECLARE_FUNCTION_${N}P(NAME) \\
54 extern const unsigned function_index_##NAME; \\
55 inline GiNaC::function NAME(${SEQ1}) { \\
56 return GiNaC::function(function_index_##NAME, ${SEQ2}); \\
59 END_OF_DECLARE_FUNCTION_MACRO
61 $typedef_eval_funcp=generate(
62 'typedef ex (* eval_funcp_${N})(${SEQ1});'."\n",
65 $typedef_evalf_funcp=generate(
66 'typedef ex (* evalf_funcp_${N})(${SEQ1});'."\n",
69 $typedef_derivative_funcp=generate(
70 'typedef ex (* derivative_funcp_${N})(${SEQ1}, unsigned);'."\n",
73 $typedef_series_funcp=generate(
74 'typedef ex (* series_funcp_${N})(${SEQ1}, const relational &, int, unsigned);'."\n",
77 $eval_func_interface=generate(' function_options & eval_func(eval_funcp_${N} e);'."\n",'','');
79 $evalf_func_interface=generate(' function_options & evalf_func(evalf_funcp_${N} ef);'."\n",'','');
81 $derivative_func_interface=generate(' function_options & derivative_func(derivative_funcp_${N} d);'."\n",'','');
83 $series_func_interface=generate(' function_options & series_func(series_funcp_${N} s);'."\n",'','');
85 $constructors_interface=generate(
86 ' function(unsigned ser, ${SEQ1});'."\n",
87 'const ex & param${N}','');
89 $constructors_implementation=generate(
90 <<'END_OF_CONSTRUCTORS_IMPLEMENTATION','const ex & param${N}','param${N}');
91 function::function(unsigned ser, ${SEQ1})
92 : exprseq(${SEQ2}), serial(ser)
94 debugmsg(\"function ctor from unsigned,${N}*ex\",LOGLEVEL_CONSTRUCT);
95 tinfo_key = TINFO_function;
97 END_OF_CONSTRUCTORS_IMPLEMENTATION
99 $eval_switch_statement=generate(
100 <<'END_OF_EVAL_SWITCH_STATEMENT','seq[${N}-1]','');
102 eval_result = ((eval_funcp_${N})(registered_functions()[serial].eval_f))(${SEQ1});
104 END_OF_EVAL_SWITCH_STATEMENT
106 $evalf_switch_statement=generate(
107 <<'END_OF_EVALF_SWITCH_STATEMENT','eseq[${N}-1]','');
109 return ((evalf_funcp_${N})(registered_functions()[serial].evalf_f))(${SEQ1});
110 END_OF_EVALF_SWITCH_STATEMENT
112 $diff_switch_statement=generate(
113 <<'END_OF_DIFF_SWITCH_STATEMENT','seq[${N}-1]','');
115 return ((derivative_funcp_${N})(registered_functions()[serial].derivative_f))(${SEQ1},diff_param);
116 END_OF_DIFF_SWITCH_STATEMENT
118 $series_switch_statement=generate(
119 <<'END_OF_SERIES_SWITCH_STATEMENT','seq[${N}-1]','');
122 res = ((series_funcp_${N})(registered_functions()[serial].series_f))(${SEQ1},r,order,options);
123 } catch (do_taylor) {
124 res = basic::series(r, order, options);
127 END_OF_SERIES_SWITCH_STATEMENT
129 $eval_func_implementation=generate(
130 <<'END_OF_EVAL_FUNC_IMPLEMENTATION','','');
131 function_options & function_options::eval_func(eval_funcp_${N} e)
133 test_and_set_nparams(${N});
134 eval_f = eval_funcp(e);
137 END_OF_EVAL_FUNC_IMPLEMENTATION
139 $evalf_func_implementation=generate(
140 <<'END_OF_EVALF_FUNC_IMPLEMENTATION','','');
141 function_options & function_options::evalf_func(evalf_funcp_${N} ef)
143 test_and_set_nparams(${N});
144 evalf_f = evalf_funcp(ef);
147 END_OF_EVALF_FUNC_IMPLEMENTATION
149 $derivative_func_implementation=generate(
150 <<'END_OF_DERIVATIVE_FUNC_IMPLEMENTATION','','');
151 function_options & function_options::derivative_func(derivative_funcp_${N} d)
153 test_and_set_nparams(${N});
154 derivative_f = derivative_funcp(d);
157 END_OF_DERIVATIVE_FUNC_IMPLEMENTATION
159 $series_func_implementation=generate(
160 <<'END_OF_SERIES_FUNC_IMPLEMENTATION','','');
161 function_options & function_options::series_func(series_funcp_${N} s)
163 test_and_set_nparams(${N});
164 series_f = series_funcp(s);
167 END_OF_SERIES_FUNC_IMPLEMENTATION
169 $interface=<<END_OF_INTERFACE;
170 /** \@file function.h
172 * Interface to abstract class function (new function concept). */
175 * This file was generated automatically by function.pl.
176 * Please do not modify it directly, edit the perl script instead!
177 * function.pl options: \$maxargs=${maxargs}
179 * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
181 * This program is free software; you can redistribute it and/or modify
182 * it under the terms of the GNU General Public License as published by
183 * the Free Software Foundation; either version 2 of the License, or
184 * (at your option) any later version.
186 * This program is distributed in the hope that it will be useful,
187 * but WITHOUT ANY WARRANTY; without even the implied warranty of
188 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
189 * GNU General Public License for more details.
191 * You should have received a copy of the GNU General Public License
192 * along with this program; if not, write to the Free Software
193 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
196 #ifndef __GINAC_FUNCTION_H__
197 #define __GINAC_FUNCTION_H__
202 // CINT needs <algorithm> to work properly with <vector>
207 // the following lines have been generated for max. ${maxargs} parameters
208 $declare_function_macro
209 // end of generated lines
211 #define REGISTER_FUNCTION(NAME,OPT) \\
212 const unsigned function_index_##NAME= \\
213 GiNaC::function::register_new(GiNaC::function_options(#NAME).OPT);
215 #define BEGIN_TYPECHECK \\
216 bool automatic_typecheck=true;
218 #define TYPECHECK(VAR,TYPE) \\
219 if (!is_exactly_a<TYPE>(VAR)) { \\
220 automatic_typecheck=false; \\
223 #define TYPECHECK_INTEGER(VAR) \\
224 if (!(VAR).info(GiNaC::info_flags::integer)) { \\
225 automatic_typecheck=false; \\
228 #define END_TYPECHECK(RV) \\
230 if (!automatic_typecheck) { \\
239 typedef ex (* eval_funcp)();
240 typedef ex (* evalf_funcp)();
241 typedef ex (* derivative_funcp)();
242 typedef ex (* series_funcp)();
244 // the following lines have been generated for max. ${maxargs} parameters
247 $typedef_derivative_funcp
248 $typedef_series_funcp
249 // end of generated lines
251 class function_options
253 friend class function;
256 function_options(std::string const & n, std::string const & tn=std::string());
258 void initialize(void);
259 function_options & set_name(std::string const & n, std::string const & tn=std::string());
260 function_options & latex_name(std::string const & tn);
261 // the following lines have been generated for max. ${maxargs} parameters
263 $evalf_func_interface
264 $derivative_func_interface
265 $series_func_interface
266 // end of generated lines
267 function_options & set_return_type(unsigned rt, unsigned rtt=0);
268 function_options & do_not_evalf_params(void);
269 function_options & remember(unsigned size, unsigned assoc_size=0,
270 unsigned strategy=remember_strategies::delete_never);
271 function_options & overloaded(unsigned o);
272 function_options & set_symmetry(const symmetry & s);
273 void test_and_set_nparams(unsigned n);
274 std::string get_name(void) const { return name; }
275 unsigned get_nparams(void) const { return nparams; }
279 std::string TeX_name;
285 derivative_funcp derivative_f;
286 series_funcp series_f;
288 bool evalf_params_first;
290 bool use_return_type;
291 unsigned return_type;
292 unsigned return_type_tinfo;
295 unsigned remember_size;
296 unsigned remember_assoc_size;
297 unsigned remember_strategy;
299 unsigned functions_with_same_name;
304 /** The class function is used to implement builtin functions like sin, cos...
305 and user defined functions */
306 class function : public exprseq
308 GINAC_DECLARE_REGISTERED_CLASS(function, exprseq)
310 // CINT has a linking problem
312 friend void ginsh_get_ginac_functions(void);
313 #endif // def __MAKECINT__
315 friend class remember_table_entry;
316 // friend class remember_table_list;
317 // friend class remember_table;
323 function(unsigned ser);
324 // the following lines have been generated for max. ${maxargs} parameters
325 $constructors_interface
326 // end of generated lines
327 function(unsigned ser, const exprseq & es);
328 function(unsigned ser, const exvector & v, bool discardable=0);
329 function(unsigned ser, exvector * vp); // vp will be deleted
331 // functions overriding virtual functions from bases classes
333 void print(const print_context & c, unsigned level = 0) const;
334 unsigned precedence(void) const {return 70;}
335 int degree(const ex & s) const;
336 int ldegree(const ex & s) const;
337 ex coeff(const ex & s, int n = 1) const;
338 ex expand(unsigned options=0) const;
339 ex eval(int level=0) const;
340 ex evalf(int level=0) const;
341 unsigned calchash(void) const;
342 ex series(const relational & r, int order, unsigned options = 0) const;
343 bool match(const ex & pattern, lst & repl_lst) const;
344 ex thisexprseq(const exvector & v) const;
345 ex thisexprseq(exvector * vp) const;
347 ex derivative(const symbol & s) const;
348 bool is_equal_same_type(const basic & other) const;
349 unsigned return_type(void) const;
350 unsigned return_type_tinfo(void) const;
352 // new virtual functions which can be overridden by derived classes
355 // non-virtual functions in this class
357 ex pderivative(unsigned diff_param) const; // partial differentiation
358 static std::vector<function_options> & registered_functions(void);
359 bool lookup_remember_table(ex & result) const;
360 void store_remember_table(ex const & result) const;
362 static unsigned register_new(function_options const & opt);
363 static unsigned find_function(const std::string &name, unsigned nparams);
364 unsigned get_serial(void) const {return serial;}
365 std::string get_name(void) const;
373 // utility functions/macros
374 /** Return the object of type function handled by an ex.
375 * This is unsafe: you need to check the type first. */
376 inline const function &ex_to_function(const ex &e)
378 return static_cast<const function &>(*e.bp);
381 /** Specialization of is_exactly_a<function>(obj) for objects of type function. */
382 template<> inline bool is_exactly_a<function>(const basic & obj)
384 return obj.tinfo()==TINFO_function;
387 #define is_ex_the_function(OBJ, FUNCNAME) \\
388 (is_ex_exactly_of_type(OBJ, function) && static_cast<GiNaC::function *>(OBJ.bp)->get_serial() == function_index_##FUNCNAME)
392 #endif // ndef __GINAC_FUNCTION_H__
396 $implementation=<<END_OF_IMPLEMENTATION;
397 /** \@file function.cpp
399 * Implementation of class function. */
402 * This file was generated automatically by function.pl.
403 * Please do not modify it directly, edit the perl script instead!
404 * function.pl options: \$maxargs=${maxargs}
406 * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
408 * This program is free software; you can redistribute it and/or modify
409 * it under the terms of the GNU General Public License as published by
410 * the Free Software Foundation; either version 2 of the License, or
411 * (at your option) any later version.
413 * This program is distributed in the hope that it will be useful,
414 * but WITHOUT ANY WARRANTY; without even the implied warranty of
415 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
416 * GNU General Public License for more details.
418 * You should have received a copy of the GNU General Public License
419 * along with this program; if not, write to the Free Software
420 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
427 #include "function.h"
430 #include "symmetry.h"
435 #include "debugmsg.h"
436 #include "remember.h"
441 // helper class function_options
444 function_options::function_options()
449 function_options::function_options(std::string const & n, std::string const & tn)
455 function_options::~function_options()
457 // nothing to clean up at the moment
460 void function_options::initialize(void)
462 set_name("unnamed_function","\\\\mbox{unnamed}");
464 eval_f = evalf_f = derivative_f = series_f = 0;
465 evalf_params_first = true;
466 use_return_type = false;
467 use_remember = false;
468 functions_with_same_name = 1;
472 function_options & function_options::set_name(std::string const & n,
473 std::string const & tn)
476 if (tn==std::string())
477 TeX_name = "\\\\mbox{"+name+"}";
483 function_options & function_options::latex_name(std::string const & tn)
489 // the following lines have been generated for max. ${maxargs} parameters
490 $eval_func_implementation
491 $evalf_func_implementation
492 $derivative_func_implementation
493 $series_func_implementation
494 // end of generated lines
496 function_options & function_options::set_return_type(unsigned rt, unsigned rtt)
498 use_return_type = true;
500 return_type_tinfo = rtt;
504 function_options & function_options::do_not_evalf_params(void)
506 evalf_params_first = false;
510 function_options & function_options::remember(unsigned size,
515 remember_size = size;
516 remember_assoc_size = assoc_size;
517 remember_strategy = strategy;
521 function_options & function_options::overloaded(unsigned o)
523 functions_with_same_name = o;
527 function_options & function_options::set_symmetry(const symmetry & s)
533 void function_options::test_and_set_nparams(unsigned n)
537 } else if (nparams!=n) {
538 // we do not throw an exception here because this code is
539 // usually executed before main(), so the exception could not
541 std::cerr << "WARNING: number of parameters ("
542 << n << ") differs from number set before ("
543 << nparams << ")" << std::endl;
547 GINAC_IMPLEMENT_REGISTERED_CLASS(function, exprseq)
550 // default ctor, dtor, copy ctor assignment operator and helpers
555 function::function() : serial(0)
557 debugmsg("function default ctor",LOGLEVEL_CONSTRUCT);
558 tinfo_key = TINFO_function;
563 void function::copy(const function & other)
565 inherited::copy(other);
566 serial = other.serial;
569 void function::destroy(bool call_parent)
572 inherited::destroy(call_parent);
581 function::function(unsigned ser) : serial(ser)
583 debugmsg("function ctor from unsigned",LOGLEVEL_CONSTRUCT);
584 tinfo_key = TINFO_function;
587 // the following lines have been generated for max. ${maxargs} parameters
588 $constructors_implementation
589 // end of generated lines
591 function::function(unsigned ser, const exprseq & es) : exprseq(es), serial(ser)
593 debugmsg("function ctor from unsigned,exprseq",LOGLEVEL_CONSTRUCT);
594 tinfo_key = TINFO_function;
597 function::function(unsigned ser, const exvector & v, bool discardable)
598 : exprseq(v,discardable), serial(ser)
600 debugmsg("function ctor from string,exvector,bool",LOGLEVEL_CONSTRUCT);
601 tinfo_key = TINFO_function;
604 function::function(unsigned ser, exvector * vp)
605 : exprseq(vp), serial(ser)
607 debugmsg("function ctor from unsigned,exvector *",LOGLEVEL_CONSTRUCT);
608 tinfo_key = TINFO_function;
615 /** Construct object from archive_node. */
616 function::function(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
618 debugmsg("function ctor from archive_node", LOGLEVEL_CONSTRUCT);
620 // Find serial number by function name
622 if (n.find_string("name", s)) {
623 unsigned int ser = 0;
624 std::vector<function_options>::const_iterator i = registered_functions().begin(), iend = registered_functions().end();
632 throw (std::runtime_error("unknown function '" + s + "' in archive"));
634 throw (std::runtime_error("unnamed function in archive"));
637 /** Unarchive the object. */
638 ex function::unarchive(const archive_node &n, const lst &sym_lst)
640 return (new function(n, sym_lst))->setflag(status_flags::dynallocated);
643 /** Archive the object. */
644 void function::archive(archive_node &n) const
646 inherited::archive(n);
647 GINAC_ASSERT(serial < registered_functions().size());
648 n.add_string("name", registered_functions()[serial].name);
652 // functions overriding virtual functions from bases classes
657 void function::print(const print_context & c, unsigned level) const
659 debugmsg("function print", LOGLEVEL_PRINT);
661 GINAC_ASSERT(serial<registered_functions().size());
663 if (is_of_type(c, print_tree)) {
665 c.s << std::string(level, ' ') << class_name() << " "
666 << registered_functions()[serial].name
667 << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
668 << ", nops=" << nops()
670 unsigned delta_indent = static_cast<const print_tree &>(c).delta_indent;
671 for (unsigned i=0; i<nops(); ++i)
672 seq[i].print(c, level + delta_indent);
673 c.s << std::string(level + delta_indent, ' ') << "=====" << std::endl;
675 } else if (is_of_type(c, print_csrc)) {
677 // Print function name in lowercase
678 std::string lname = registered_functions()[serial].name;
679 for (unsigned i=0; i<lname.size(); i++)
680 lname[i] = tolower(lname[i]);
683 // Print arguments, separated by commas
684 exvector::const_iterator it = seq.begin(), itend = seq.end();
685 while (it != itend) {
693 } else if (is_of_type(c, print_latex)) {
694 c.s << registered_functions()[serial].TeX_name;
695 printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
697 c.s << registered_functions()[serial].name;
698 printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
702 ex function::expand(unsigned options) const
704 return this->setflag(status_flags::expanded);
707 int function::degree(const ex & s) const
709 return is_equal(*s.bp) ? 1 : 0;
712 int function::ldegree(const ex & s) const
714 return is_equal(*s.bp) ? 1 : 0;
717 ex function::coeff(const ex & s, int n) const
720 return n==1 ? _ex1() : _ex0();
722 return n==0 ? ex(*this) : _ex0();
725 ex function::eval(int level) const
727 GINAC_ASSERT(serial<registered_functions().size());
730 // first evaluate children, then we will end up here again
731 return function(serial,evalchildren(level));
734 const function_options &opt = registered_functions()[serial];
736 // Canonicalize argument order according to the symmetry properties
737 if (seq.size() > 1 && !(opt.symtree.is_zero())) {
739 GINAC_ASSERT(is_ex_exactly_of_type(opt.symtree, symmetry));
740 int sig = canonicalize(v.begin(), ex_to<symmetry>(opt.symtree));
741 if (sig != INT_MAX) {
742 // Something has changed while sorting arguments, more evaluations later
745 return ex(sig) * thisexprseq(v);
753 bool use_remember = opt.use_remember;
755 if (use_remember && lookup_remember_table(eval_result)) {
759 switch (opt.nparams) {
760 // the following lines have been generated for max. ${maxargs} parameters
761 ${eval_switch_statement}
762 // end of generated lines
764 throw(std::logic_error("function::eval(): invalid nparams"));
767 store_remember_table(eval_result);
772 ex function::evalf(int level) const
774 GINAC_ASSERT(serial<registered_functions().size());
776 // Evaluate children first
780 else if (level == -max_recursion_level)
781 throw(std::runtime_error("max recursion level reached"));
783 eseq.reserve(seq.size());
785 exvector::const_iterator it = seq.begin(), itend = seq.end();
786 while (it != itend) {
787 eseq.push_back((*it).evalf(level));
791 if (registered_functions()[serial].evalf_f==0) {
792 return function(serial,eseq).hold();
794 switch (registered_functions()[serial].nparams) {
795 // the following lines have been generated for max. ${maxargs} parameters
796 ${evalf_switch_statement}
797 // end of generated lines
799 throw(std::logic_error("function::evalf(): invalid nparams"));
802 unsigned function::calchash(void) const
804 unsigned v = golden_ratio_hash(golden_ratio_hash(tinfo()) ^ serial);
805 for (unsigned i=0; i<nops(); i++) {
806 v = rotate_left_31(v);
807 v ^= this->op(i).gethash();
810 if (flags & status_flags::evaluated) {
811 setflag(status_flags::hash_calculated);
817 ex function::thisexprseq(const exvector & v) const
819 return function(serial,v);
822 ex function::thisexprseq(exvector * vp) const
824 return function(serial,vp);
827 /** Implementation of ex::series for functions.
828 * \@see ex::series */
829 ex function::series(const relational & r, int order, unsigned options) const
831 GINAC_ASSERT(serial<registered_functions().size());
833 if (registered_functions()[serial].series_f==0) {
834 return basic::series(r, order);
837 switch (registered_functions()[serial].nparams) {
838 // the following lines have been generated for max. ${maxargs} parameters
839 ${series_switch_statement}
840 // end of generated lines
842 throw(std::logic_error("function::series(): invalid nparams"));
845 bool function::match(const ex & pattern, lst & repl_lst) const
847 // Serial number must match
848 if (is_ex_of_type(pattern, function) && serial != ex_to<function>(pattern).serial)
850 return inherited::match(pattern, repl_lst);
856 /** Implementation of ex::diff() for functions. It applies the chain rule,
857 * except for the Order term function.
859 ex function::derivative(const symbol & s) const
863 if (serial == function_index_Order) {
864 // Order Term function only differentiates the argument
865 return Order(seq[0].diff(s));
866 } else if (serial == function_index_Derivative) {
867 // Inert derivative performs chain rule on the first argument only, and
868 // adds differentiation parameter to list (second argument)
869 GINAC_ASSERT(is_ex_exactly_of_type(seq[0], function));
870 GINAC_ASSERT(is_ex_exactly_of_type(seq[1], function));
873 for (unsigned i=0; i!=fcn.nops(); i++) {
874 arg_diff = fcn.op(i).diff(s);
875 if (!arg_diff.is_zero()) {
876 lst new_lst = ex_to<lst>(seq[1]);
878 result += arg_diff * Derivative(fcn, new_lst);
884 for (unsigned i=0; i!=seq.size(); i++) {
885 arg_diff = seq[i].diff(s);
886 // We apply the chain rule only when it makes sense. This is not
887 // just for performance reasons but also to allow functions to
888 // throw when differentiated with respect to one of its arguments
889 // without running into trouble with our automatic full
891 if (!arg_diff.is_zero())
892 result += pderivative(i)*arg_diff;
898 int function::compare_same_type(const basic & other) const
900 GINAC_ASSERT(is_of_type(other, function));
901 const function & o = static_cast<const function &>(other);
903 if (serial!=o.serial) {
904 return serial < o.serial ? -1 : 1;
906 return exprseq::compare_same_type(o);
909 bool function::is_equal_same_type(const basic & other) const
911 GINAC_ASSERT(is_of_type(other, function));
912 const function & o = static_cast<const function &>(other);
914 if (serial!=o.serial) return false;
915 return exprseq::is_equal_same_type(o);
918 unsigned function::return_type(void) const
921 return return_types::commutative;
923 return (*seq.begin()).return_type();
926 unsigned function::return_type_tinfo(void) const
931 return (*seq.begin()).return_type_tinfo();
935 // new virtual functions which can be overridden by derived classes
941 // non-virtual functions in this class
946 ex function::pderivative(unsigned diff_param) const // partial differentiation
948 GINAC_ASSERT(serial<registered_functions().size());
950 if (registered_functions()[serial].derivative_f==0) {
951 return Derivative(*this, lst(ex(diff_param)));
953 switch (registered_functions()[serial].nparams) {
954 // the following lines have been generated for max. ${maxargs} parameters
955 ${diff_switch_statement}
956 // end of generated lines
958 throw(std::logic_error("function::pderivative(): no diff function defined"));
961 std::vector<function_options> & function::registered_functions(void)
963 static std::vector<function_options> * rf = new std::vector<function_options>;
967 bool function::lookup_remember_table(ex & result) const
969 return remember_table::remember_tables()[serial].lookup_entry(*this,result);
972 void function::store_remember_table(ex const & result) const
974 remember_table::remember_tables()[serial].add_entry(*this,result);
979 unsigned function::register_new(function_options const & opt)
981 unsigned same_name = 0;
982 for (unsigned i=0; i<registered_functions().size(); ++i) {
983 if (registered_functions()[i].name==opt.name) {
987 if (same_name>=opt.functions_with_same_name) {
988 // we do not throw an exception here because this code is
989 // usually executed before main(), so the exception could not
991 std::cerr << "WARNING: function name " << opt.name
992 << " already in use!" << std::endl;
994 registered_functions().push_back(opt);
995 if (opt.use_remember) {
996 remember_table::remember_tables().
997 push_back(remember_table(opt.remember_size,
998 opt.remember_assoc_size,
999 opt.remember_strategy));
1001 remember_table::remember_tables().push_back(remember_table());
1003 return registered_functions().size()-1;
1006 /** Find serial number of function by name and number of parameters.
1007 * Throws exception if function was not found. */
1008 unsigned function::find_function(const std::string &name, unsigned nparams)
1010 std::vector<function_options>::const_iterator i = function::registered_functions().begin(), end = function::registered_functions().end();
1011 unsigned serial = 0;
1013 if (i->get_name() == name && i->get_nparams() == nparams)
1018 throw (std::runtime_error("no function '" + name + "' with " + ToString(nparams) + " parameters defined"));
1021 /** Return the print name of the function. */
1022 std::string function::get_name(void) const
1024 GINAC_ASSERT(serial<registered_functions().size());
1025 return registered_functions()[serial].name;
1028 } // namespace GiNaC
1030 END_OF_IMPLEMENTATION
1032 print "Creating interface file function.h...";
1033 open OUT,">function.h" or die "cannot open function.h";
1034 print OUT $interface;
1038 print "Creating implementation file function.cpp...";
1039 open OUT,">function.cpp" or die "cannot open function.cpp";
1040 print OUT $implementation;