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 REGISTER_FUNCTION_OLD(NAME,E,EF,D,S) \\
216 const unsigned function_index_##NAME= \\
217 GiNaC::function::register_new(GiNaC::function_options(#NAME). \\
220 derivative_func(D). \\
223 #define BEGIN_TYPECHECK \\
224 bool automatic_typecheck=true;
226 #define TYPECHECK(VAR,TYPE) \\
227 if (!is_exactly_a<TYPE>(VAR)) { \\
228 automatic_typecheck=false; \\
231 #define TYPECHECK_INTEGER(VAR) \\
232 if (!(VAR).info(GiNaC::info_flags::integer)) { \\
233 automatic_typecheck=false; \\
236 #define END_TYPECHECK(RV) \\
238 if (!automatic_typecheck) { \\
247 typedef ex (* eval_funcp)();
248 typedef ex (* evalf_funcp)();
249 typedef ex (* derivative_funcp)();
250 typedef ex (* series_funcp)();
252 // the following lines have been generated for max. ${maxargs} parameters
255 $typedef_derivative_funcp
256 $typedef_series_funcp
257 // end of generated lines
259 class function_options
261 friend class function;
264 function_options(std::string const & n, std::string const & tn=std::string());
266 void initialize(void);
267 function_options & set_name(std::string const & n, std::string const & tn=std::string());
268 function_options & latex_name(std::string const & tn);
269 // the following lines have been generated for max. ${maxargs} parameters
271 $evalf_func_interface
272 $derivative_func_interface
273 $series_func_interface
274 // end of generated lines
275 function_options & set_return_type(unsigned rt, unsigned rtt=0);
276 function_options & do_not_evalf_params(void);
277 function_options & remember(unsigned size, unsigned assoc_size=0,
278 unsigned strategy=remember_strategies::delete_never);
279 function_options & overloaded(unsigned o);
280 function_options & set_symmetry(const symmetry & s);
281 void test_and_set_nparams(unsigned n);
282 std::string get_name(void) const { return name; }
283 unsigned get_nparams(void) const { return nparams; }
287 std::string TeX_name;
293 derivative_funcp derivative_f;
294 series_funcp series_f;
296 bool evalf_params_first;
298 bool use_return_type;
299 unsigned return_type;
300 unsigned return_type_tinfo;
303 unsigned remember_size;
304 unsigned remember_assoc_size;
305 unsigned remember_strategy;
307 unsigned functions_with_same_name;
312 /** The class function is used to implement builtin functions like sin, cos...
313 and user defined functions */
314 class function : public exprseq
316 GINAC_DECLARE_REGISTERED_CLASS(function, exprseq)
318 // CINT has a linking problem
320 friend void ginsh_get_ginac_functions(void);
321 #endif // def __MAKECINT__
323 friend class remember_table_entry;
324 // friend class remember_table_list;
325 // friend class remember_table;
331 function(unsigned ser);
332 // the following lines have been generated for max. ${maxargs} parameters
333 $constructors_interface
334 // end of generated lines
335 function(unsigned ser, const exprseq & es);
336 function(unsigned ser, const exvector & v, bool discardable=0);
337 function(unsigned ser, exvector * vp); // vp will be deleted
339 // functions overriding virtual functions from bases classes
341 void print(const print_context & c, unsigned level = 0) const;
342 unsigned precedence(void) const {return 70;}
343 int degree(const ex & s) const;
344 int ldegree(const ex & s) const;
345 ex coeff(const ex & s, int n = 1) const;
346 ex expand(unsigned options=0) const;
347 ex eval(int level=0) const;
348 ex evalf(int level=0) const;
349 unsigned calchash(void) const;
350 ex series(const relational & r, int order, unsigned options = 0) const;
351 bool match(const ex & pattern, lst & repl_lst) const;
352 ex thisexprseq(const exvector & v) const;
353 ex thisexprseq(exvector * vp) const;
355 ex derivative(const symbol & s) const;
356 bool is_equal_same_type(const basic & other) const;
357 unsigned return_type(void) const;
358 unsigned return_type_tinfo(void) const;
360 // new virtual functions which can be overridden by derived classes
363 // non-virtual functions in this class
365 ex pderivative(unsigned diff_param) const; // partial differentiation
366 static std::vector<function_options> & registered_functions(void);
367 bool lookup_remember_table(ex & result) const;
368 void store_remember_table(ex const & result) const;
370 static unsigned register_new(function_options const & opt);
371 static unsigned find_function(const std::string &name, unsigned nparams);
372 unsigned get_serial(void) const {return serial;}
373 std::string get_name(void) const;
381 // utility functions/macros
382 /** Return the object of type function handled by an ex.
383 * This is unsafe: you need to check the type first. */
384 inline const function &ex_to_function(const ex &e)
386 return static_cast<const function &>(*e.bp);
389 /** Specialization of is_exactly_a<function>(obj) for objects of type function. */
390 template<> inline bool is_exactly_a<function>(const basic & obj)
392 return obj.tinfo()==TINFO_function;
395 #define is_ex_the_function(OBJ, FUNCNAME) \\
396 (is_ex_exactly_of_type(OBJ, function) && static_cast<GiNaC::function *>(OBJ.bp)->get_serial() == function_index_##FUNCNAME)
400 #endif // ndef __GINAC_FUNCTION_H__
404 $implementation=<<END_OF_IMPLEMENTATION;
405 /** \@file function.cpp
407 * Implementation of class function. */
410 * This file was generated automatically by function.pl.
411 * Please do not modify it directly, edit the perl script instead!
412 * function.pl options: \$maxargs=${maxargs}
414 * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
416 * This program is free software; you can redistribute it and/or modify
417 * it under the terms of the GNU General Public License as published by
418 * the Free Software Foundation; either version 2 of the License, or
419 * (at your option) any later version.
421 * This program is distributed in the hope that it will be useful,
422 * but WITHOUT ANY WARRANTY; without even the implied warranty of
423 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
424 * GNU General Public License for more details.
426 * You should have received a copy of the GNU General Public License
427 * along with this program; if not, write to the Free Software
428 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
435 #include "function.h"
438 #include "symmetry.h"
443 #include "debugmsg.h"
444 #include "remember.h"
449 // helper class function_options
452 function_options::function_options()
457 function_options::function_options(std::string const & n, std::string const & tn)
463 function_options::~function_options()
465 // nothing to clean up at the moment
468 void function_options::initialize(void)
470 set_name("unnamed_function","\\\\mbox{unnamed}");
472 eval_f=evalf_f=derivative_f=series_f=0;
473 evalf_params_first=true;
474 use_return_type=false;
476 functions_with_same_name=1;
480 function_options & function_options::set_name(std::string const & n,
481 std::string const & tn)
484 if (tn==std::string()) {
485 TeX_name="\\\\mbox{"+name+"}";
492 function_options & function_options::latex_name(std::string const & tn)
498 // the following lines have been generated for max. ${maxargs} parameters
499 $eval_func_implementation
500 $evalf_func_implementation
501 $derivative_func_implementation
502 $series_func_implementation
503 // end of generated lines
505 function_options & function_options::set_return_type(unsigned rt, unsigned rtt)
507 use_return_type=true;
509 return_type_tinfo=rtt;
513 function_options & function_options::do_not_evalf_params(void)
515 evalf_params_first=false;
519 function_options & function_options::remember(unsigned size,
525 remember_assoc_size=assoc_size;
526 remember_strategy=strategy;
530 function_options & function_options::overloaded(unsigned o)
532 functions_with_same_name=o;
536 function_options & function_options::set_symmetry(const symmetry & s)
542 void function_options::test_and_set_nparams(unsigned n)
546 } else if (nparams!=n) {
547 // we do not throw an exception here because this code is
548 // usually executed before main(), so the exception could not
550 std::cerr << "WARNING: number of parameters ("
551 << n << ") differs from number set before ("
552 << nparams << ")" << std::endl;
556 GINAC_IMPLEMENT_REGISTERED_CLASS(function, exprseq)
559 // default ctor, dtor, copy ctor assignment operator and helpers
564 function::function() : serial(0)
566 debugmsg("function default ctor",LOGLEVEL_CONSTRUCT);
567 tinfo_key = TINFO_function;
572 void function::copy(const function & other)
574 exprseq::copy(other);
578 void function::destroy(bool call_parent)
580 if (call_parent) exprseq::destroy(call_parent);
589 function::function(unsigned ser) : serial(ser)
591 debugmsg("function ctor from unsigned",LOGLEVEL_CONSTRUCT);
592 tinfo_key = TINFO_function;
595 // the following lines have been generated for max. ${maxargs} parameters
596 $constructors_implementation
597 // end of generated lines
599 function::function(unsigned ser, const exprseq & es) : exprseq(es), serial(ser)
601 debugmsg("function ctor from unsigned,exprseq",LOGLEVEL_CONSTRUCT);
602 tinfo_key = TINFO_function;
605 function::function(unsigned ser, const exvector & v, bool discardable)
606 : exprseq(v,discardable), serial(ser)
608 debugmsg("function ctor from string,exvector,bool",LOGLEVEL_CONSTRUCT);
609 tinfo_key = TINFO_function;
612 function::function(unsigned ser, exvector * vp)
613 : exprseq(vp), serial(ser)
615 debugmsg("function ctor from unsigned,exvector *",LOGLEVEL_CONSTRUCT);
616 tinfo_key = TINFO_function;
623 /** Construct object from archive_node. */
624 function::function(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
626 debugmsg("function ctor from archive_node", LOGLEVEL_CONSTRUCT);
628 // Find serial number by function name
630 if (n.find_string("name", s)) {
631 unsigned int ser = 0;
632 std::vector<function_options>::const_iterator i = registered_functions().begin(), iend = registered_functions().end();
640 throw (std::runtime_error("unknown function '" + s + "' in archive"));
642 throw (std::runtime_error("unnamed function in archive"));
645 /** Unarchive the object. */
646 ex function::unarchive(const archive_node &n, const lst &sym_lst)
648 return (new function(n, sym_lst))->setflag(status_flags::dynallocated);
651 /** Archive the object. */
652 void function::archive(archive_node &n) const
654 inherited::archive(n);
655 GINAC_ASSERT(serial < registered_functions().size());
656 n.add_string("name", registered_functions()[serial].name);
660 // functions overriding virtual functions from bases classes
665 void function::print(const print_context & c, unsigned level) const
667 debugmsg("function print", LOGLEVEL_PRINT);
669 GINAC_ASSERT(serial<registered_functions().size());
671 if (is_of_type(c, print_tree)) {
673 c.s << std::string(level, ' ') << class_name() << " "
674 << registered_functions()[serial].name
675 << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
676 << ", nops=" << nops()
678 unsigned delta_indent = static_cast<const print_tree &>(c).delta_indent;
679 for (unsigned i=0; i<nops(); ++i)
680 seq[i].print(c, level + delta_indent);
681 c.s << std::string(level + delta_indent, ' ') << "=====" << std::endl;
683 } else if (is_of_type(c, print_csrc)) {
685 // Print function name in lowercase
686 std::string lname = registered_functions()[serial].name;
687 for (unsigned i=0; i<lname.size(); i++)
688 lname[i] = tolower(lname[i]);
691 // Print arguments, separated by commas
692 exvector::const_iterator it = seq.begin(), itend = seq.end();
693 while (it != itend) {
701 } else if (is_of_type(c, print_latex)) {
702 c.s << registered_functions()[serial].TeX_name;
703 printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
705 c.s << registered_functions()[serial].name;
706 printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
710 ex function::expand(unsigned options) const
712 return this->setflag(status_flags::expanded);
715 int function::degree(const ex & s) const
717 return is_equal(*s.bp) ? 1 : 0;
720 int function::ldegree(const ex & s) const
722 return is_equal(*s.bp) ? 1 : 0;
725 ex function::coeff(const ex & s, int n) const
728 return n==1 ? _ex1() : _ex0();
730 return n==0 ? ex(*this) : _ex0();
733 ex function::eval(int level) const
735 GINAC_ASSERT(serial<registered_functions().size());
738 // first evaluate children, then we will end up here again
739 return function(serial,evalchildren(level));
742 const function_options &opt = registered_functions()[serial];
744 // Canonicalize argument order according to the symmetry properties
745 if (seq.size() > 1 && !(opt.symtree.is_zero())) {
747 GINAC_ASSERT(is_ex_exactly_of_type(opt.symtree, symmetry));
748 int sig = canonicalize(v.begin(), ex_to_symmetry(opt.symtree));
749 if (sig != INT_MAX) {
750 // Something has changed while sorting arguments, more evaluations later
753 return ex(sig) * thisexprseq(v);
761 bool use_remember=opt.use_remember;
763 if (use_remember && lookup_remember_table(eval_result)) {
767 switch (opt.nparams) {
768 // the following lines have been generated for max. ${maxargs} parameters
769 ${eval_switch_statement}
770 // end of generated lines
772 throw(std::logic_error("function::eval(): invalid nparams"));
775 store_remember_table(eval_result);
780 ex function::evalf(int level) const
782 GINAC_ASSERT(serial<registered_functions().size());
784 exvector eseq=evalfchildren(level);
786 if (registered_functions()[serial].evalf_f==0) {
787 return function(serial,eseq).hold();
789 switch (registered_functions()[serial].nparams) {
790 // the following lines have been generated for max. ${maxargs} parameters
791 ${evalf_switch_statement}
792 // end of generated lines
794 throw(std::logic_error("function::evalf(): invalid nparams"));
797 unsigned function::calchash(void) const
799 unsigned v = golden_ratio_hash(golden_ratio_hash(tinfo()) ^ serial);
800 for (unsigned i=0; i<nops(); i++) {
801 v = rotate_left_31(v);
802 v ^= this->op(i).gethash();
805 if (flags & status_flags::evaluated) {
806 setflag(status_flags::hash_calculated);
812 ex function::thisexprseq(const exvector & v) const
814 return function(serial,v);
817 ex function::thisexprseq(exvector * vp) const
819 return function(serial,vp);
822 /** Implementation of ex::series for functions.
823 * \@see ex::series */
824 ex function::series(const relational & r, int order, unsigned options) const
826 GINAC_ASSERT(serial<registered_functions().size());
828 if (registered_functions()[serial].series_f==0) {
829 return basic::series(r, order);
832 switch (registered_functions()[serial].nparams) {
833 // the following lines have been generated for max. ${maxargs} parameters
834 ${series_switch_statement}
835 // end of generated lines
837 throw(std::logic_error("function::series(): invalid nparams"));
840 bool function::match(const ex & pattern, lst & repl_lst) const
842 // Serial number must match
843 if (is_ex_of_type(pattern, function) && serial != ex_to_function(pattern).serial)
845 return inherited::match(pattern, repl_lst);
851 /** Implementation of ex::diff() for functions. It applies the chain rule,
852 * except for the Order term function.
854 ex function::derivative(const symbol & s) const
858 if (serial == function_index_Order) {
859 // Order Term function only differentiates the argument
860 return Order(seq[0].diff(s));
861 } else if (serial == function_index_Derivative) {
862 // Inert derivative performs chain rule on the first argument only, and
863 // adds differentiation parameter to list (second argument)
864 GINAC_ASSERT(is_ex_exactly_of_type(seq[0], function));
865 GINAC_ASSERT(is_ex_exactly_of_type(seq[1], function));
868 for (unsigned i=0; i!=fcn.nops(); i++) {
869 arg_diff = fcn.op(i).diff(s);
870 if (!arg_diff.is_zero()) {
871 lst new_lst = ex_to_lst(seq[1]);
873 result += arg_diff * Derivative(fcn, new_lst);
879 for (unsigned i=0; i!=seq.size(); i++) {
880 arg_diff = seq[i].diff(s);
881 // We apply the chain rule only when it makes sense. This is not
882 // just for performance reasons but also to allow functions to
883 // throw when differentiated with respect to one of its arguments
884 // without running into trouble with our automatic full
886 if (!arg_diff.is_zero())
887 result += pderivative(i)*arg_diff;
893 int function::compare_same_type(const basic & other) const
895 GINAC_ASSERT(is_of_type(other, function));
896 const function & o=static_cast<function &>(const_cast<basic &>(other));
898 if (serial!=o.serial) {
899 return serial < o.serial ? -1 : 1;
901 return exprseq::compare_same_type(o);
904 bool function::is_equal_same_type(const basic & other) const
906 GINAC_ASSERT(is_of_type(other, function));
907 const function & o=static_cast<function &>(const_cast<basic &>(other));
909 if (serial!=o.serial) return false;
910 return exprseq::is_equal_same_type(o);
913 unsigned function::return_type(void) const
916 return return_types::commutative;
918 return (*seq.begin()).return_type();
921 unsigned function::return_type_tinfo(void) const
926 return (*seq.begin()).return_type_tinfo();
930 // new virtual functions which can be overridden by derived classes
936 // non-virtual functions in this class
941 ex function::pderivative(unsigned diff_param) const // partial differentiation
943 GINAC_ASSERT(serial<registered_functions().size());
945 if (registered_functions()[serial].derivative_f==0) {
946 return Derivative(*this, lst(ex(diff_param)));
948 switch (registered_functions()[serial].nparams) {
949 // the following lines have been generated for max. ${maxargs} parameters
950 ${diff_switch_statement}
951 // end of generated lines
953 throw(std::logic_error("function::pderivative(): no diff function defined"));
956 std::vector<function_options> & function::registered_functions(void)
958 static std::vector<function_options> * rf = new std::vector<function_options>;
962 bool function::lookup_remember_table(ex & result) const
964 return remember_table::remember_tables()[serial].lookup_entry(*this,result);
967 void function::store_remember_table(ex const & result) const
969 remember_table::remember_tables()[serial].add_entry(*this,result);
974 unsigned function::register_new(function_options const & opt)
976 unsigned same_name=0;
977 for (unsigned i=0; i<registered_functions().size(); ++i) {
978 if (registered_functions()[i].name==opt.name) {
982 if (same_name>=opt.functions_with_same_name) {
983 // we do not throw an exception here because this code is
984 // usually executed before main(), so the exception could not
986 std::cerr << "WARNING: function name " << opt.name
987 << " already in use!" << std::endl;
989 registered_functions().push_back(opt);
990 if (opt.use_remember) {
991 remember_table::remember_tables().
992 push_back(remember_table(opt.remember_size,
993 opt.remember_assoc_size,
994 opt.remember_strategy));
996 remember_table::remember_tables().push_back(remember_table());
998 return registered_functions().size()-1;
1001 /** Find serial number of function by name and number of parameters.
1002 * Throws exception if function was not found. */
1003 unsigned function::find_function(const std::string &name, unsigned nparams)
1005 std::vector<function_options>::const_iterator i = function::registered_functions().begin(), end = function::registered_functions().end();
1006 unsigned serial = 0;
1008 if (i->get_name() == name && i->get_nparams() == nparams)
1013 throw (std::runtime_error("no function '" + name + "' with " + ToString(nparams) + " parameters defined"));
1016 /** Return the print name of the function. */
1017 std::string function::get_name(void) const
1019 GINAC_ASSERT(serial<registered_functions().size());
1020 return registered_functions()[serial].name;
1023 } // namespace GiNaC
1025 END_OF_IMPLEMENTATION
1027 print "Creating interface file function.h...";
1028 open OUT,">function.h" or die "cannot open function.h";
1029 print OUT $interface;
1033 print "Creating implementation file function.cpp...";
1034 open OUT,">function.cpp" or die "cannot open function.cpp";
1035 print OUT $implementation;