-#!/usr/bin/perl -w
-
-$maxargs=10;
+$maxargs=13;
sub generate_seq {
- my ($seq_template,$n)=@_;
- my ($res,$N);
-
- $res='';
- for ($N=1; $N<=$n; $N++) {
- $res .= eval('"' . $seq_template . '"');
- if ($N!=$n) {
- $res .= ', ';
- }
- }
- return $res;
+ my ($seq_template,$n)=@_;
+ my ($res,$N);
+
+ $res='';
+ for ($N=1; $N<=$n; $N++) {
+ $res .= eval('"' . $seq_template . '"');
+ if ($N!=$n) {
+ $res .= ', ';
+ }
+ }
+ return $res;
+}
+
+sub generate_from_to {
+ my ($template,$seq_template1,$seq_template2,$from,$to)=@_;
+ my ($res,$N,$SEQ);
+
+ $res='';
+ for ($N=$from; $N<=$to; $N++) {
+ $SEQ1=generate_seq($seq_template1,$N);
+ $SEQ2=generate_seq($seq_template2,$N);
+ $res .= eval('"' . $template . '"');
+ $SEQ1=''; # to avoid main::SEQ1 used only once warning
+ $SEQ2=''; # same as above
+ }
+ return $res;
}
sub generate {
- my ($template,$seq_template1,$seq_template2)=@_;
- my ($res,$N,$SEQ);
-
- $res='';
- for ($N=1; $N<=$maxargs; $N++) {
- $SEQ1=generate_seq($seq_template1,$N);
- $SEQ2=generate_seq($seq_template2,$N);
- $res .= eval('"' . $template . '"');
- $SEQ1=''; # to avoid main::SEQ1 used only once warning
- $SEQ2=''; # same as above
- }
- return $res;
-}
-
-$declare_function_macro_namespace=generate(
- <<'END_OF_DECLARE_FUNCTION_MACRO_NAMESPACE','GiNaC::ex const & p${N}','p${N}');
-#define DECLARE_FUNCTION_${N}P(NAME) \\
-extern const unsigned function_index_##NAME; \\
-inline GiNaC::function NAME(${SEQ1}) { \\
- return GiNaC::function(function_index_##NAME, ${SEQ2}); \\
+ my ($template,$seq_template1,$seq_template2)=@_;
+ return generate_from_to($template,$seq_template1,$seq_template2,1,$maxargs);
}
-END_OF_DECLARE_FUNCTION_MACRO_NAMESPACE
+$declare_function_macro = <<'END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO';
+#define DECLARE_FUNCTION_1P(NAME) \
+extern const unsigned function_index_##NAME; \
+inline GiNaC::function NAME(const GiNaC::ex & p1) { \
+ return GiNaC::function(function_index_##NAME, p1); \
+}
+#define DECLARE_FUNCTION_2P(NAME) \
+extern const unsigned function_index_##NAME; \
+inline GiNaC::function NAME(const GiNaC::ex & p1, const GiNaC::ex & p2) { \
+ return GiNaC::function(function_index_##NAME, p1, p2); \
+}
+
+END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO
-$declare_function_macro_no_namespace=generate(
- <<'END_OF_DECLARE_FUNCTION_MACRO_NO_NAMESPACE','ex const & p${N}','p${N}');
+$declare_function_macro .= generate_from_to(
+ <<'END_OF_DECLARE_FUNCTION_MACRO','const GiNaC::ex & p${N}','p${N}',3,$maxargs);
#define DECLARE_FUNCTION_${N}P(NAME) \\
-extern unsigned function_index_##NAME; \\
-inline function NAME(${SEQ1}) { \\
- return function(function_index_##NAME, ${SEQ2}); \\
+extern const unsigned function_index_##NAME; \\
+inline GiNaC::function NAME(${SEQ1}) { \\
+ return GiNaC::function(function_index_##NAME, ${SEQ2}); \\
}
-END_OF_DECLARE_FUNCTION_MACRO_NO_NAMESPACE
+END_OF_DECLARE_FUNCTION_MACRO
$typedef_eval_funcp=generate(
'typedef ex (* eval_funcp_${N})(${SEQ1});'."\n",
-'ex const &','');
+'const ex &','');
$typedef_evalf_funcp=generate(
'typedef ex (* evalf_funcp_${N})(${SEQ1});'."\n",
-'ex const &','');
+'const ex &','');
-$typedef_diff_funcp=generate(
-'typedef ex (* diff_funcp_${N})(${SEQ1}, unsigned);'."\n",
-'ex const &','');
+$typedef_derivative_funcp=generate(
+'typedef ex (* derivative_funcp_${N})(${SEQ1}, unsigned);'."\n",
+'const ex &','');
$typedef_series_funcp=generate(
-'typedef ex (* series_funcp_${N})(${SEQ1}, symbol const &, ex const &, int);'."\n",
-'ex const &','');
+'typedef ex (* series_funcp_${N})(${SEQ1}, const relational &, int, unsigned);'."\n",
+'const ex &','');
+
+$eval_func_interface=generate(' function_options & eval_func(eval_funcp_${N} e);'."\n",'','');
+
+$evalf_func_interface=generate(' function_options & evalf_func(evalf_funcp_${N} ef);'."\n",'','');
+
+$derivative_func_interface=generate(' function_options & derivative_func(derivative_funcp_${N} d);'."\n",'','');
+
+$series_func_interface=generate(' function_options & series_func(series_funcp_${N} s);'."\n",'','');
$constructors_interface=generate(
' function(unsigned ser, ${SEQ1});'."\n",
-'ex const & param${N}','');
-
-$register_new_interface=generate(
-' static unsigned register_new(char const * nm, eval_funcp_${N} e,'."\n".
-' evalf_funcp_${N} ef=0, diff_funcp_${N} d=0, series_funcp_${N} s=0);'.
-"\n",'','');
+'const ex & param${N}','');
$constructors_implementation=generate(
- <<'END_OF_CONSTRUCTORS_IMPLEMENTATION','ex const & param${N}','param${N}');
+ <<'END_OF_CONSTRUCTORS_IMPLEMENTATION','const ex & param${N}','param${N}');
function::function(unsigned ser, ${SEQ1})
- : exprseq(${SEQ2}), serial(ser)
+ : exprseq(${SEQ2}), serial(ser)
{
- debugmsg(\"function constructor from unsigned,${N}*ex\",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_function;
+ debugmsg(\"function ctor from unsigned,${N}*ex\",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_function;
}
END_OF_CONSTRUCTORS_IMPLEMENTATION
$eval_switch_statement=generate(
- <<'END_OF_EVAL_SWITCH_STATEMENT','eseq[${N}-1]','');
- case ${N}:
- return ((eval_funcp_${N})(registered_functions()[serial].e))(${SEQ1});
- break;
+ <<'END_OF_EVAL_SWITCH_STATEMENT','seq[${N}-1]','');
+ case ${N}:
+ eval_result=((eval_funcp_${N})(registered_functions()[serial].eval_f))(${SEQ1});
+ break;
END_OF_EVAL_SWITCH_STATEMENT
$evalf_switch_statement=generate(
- <<'END_OF_EVALF_SWITCH_STATEMENT','eseq[${N}-1]','');
- case ${N}:
- return ((evalf_funcp_${N})(registered_functions()[serial].ef))(${SEQ1});
- break;
+ <<'END_OF_EVALF_SWITCH_STATEMENT','eseq[${N}-1]','');
+ case ${N}:
+ return ((evalf_funcp_${N})(registered_functions()[serial].evalf_f))(${SEQ1});
END_OF_EVALF_SWITCH_STATEMENT
$diff_switch_statement=generate(
- <<'END_OF_DIFF_SWITCH_STATEMENT','seq[${N}-1]','');
- case ${N}:
- return ((diff_funcp_${N})(registered_functions()[serial].d))(${SEQ1},diff_param);
- break;
+ <<'END_OF_DIFF_SWITCH_STATEMENT','seq[${N}-1]','');
+ case ${N}:
+ return ((derivative_funcp_${N})(registered_functions()[serial].derivative_f))(${SEQ1},diff_param);
END_OF_DIFF_SWITCH_STATEMENT
$series_switch_statement=generate(
- <<'END_OF_SERIES_SWITCH_STATEMENT','seq[${N}-1]','');
- case ${N}:
- try {
- res = ((series_funcp_${N})(registered_functions()[serial].s))(${SEQ1},s,point,order);
- } catch (do_taylor) {
- res = basic::series(s, point, order);
- }
- return res;
- break;
+ <<'END_OF_SERIES_SWITCH_STATEMENT','seq[${N}-1]','');
+ case ${N}:
+ try {
+ res = ((series_funcp_${N})(registered_functions()[serial].series_f))(${SEQ1},r,order,options);
+ } catch (do_taylor) {
+ res = basic::series(r, order, options);
+ }
+ return res;
END_OF_SERIES_SWITCH_STATEMENT
-$register_new_implementation=generate(
- <<'END_OF_REGISTER_NEW_IMPLEMENTATION','','');
-unsigned function::register_new(char const * nm, eval_funcp_${N} e,
- evalf_funcp_${N} ef, diff_funcp_${N} d, series_funcp_${N} s)
+$eval_func_implementation=generate(
+ <<'END_OF_EVAL_FUNC_IMPLEMENTATION','','');
+function_options & function_options::eval_func(eval_funcp_${N} e)
{
- registered_function_info rfi={nm,${N},0,eval_funcp(e),
- evalf_funcp(ef),diff_funcp(d),series_funcp(s)};
- registered_functions().push_back(rfi);
- return registered_functions().size()-1;
-}
-END_OF_REGISTER_NEW_IMPLEMENTATION
+ test_and_set_nparams(${N});
+ eval_f=eval_funcp(e);
+ return *this;
+}
+END_OF_EVAL_FUNC_IMPLEMENTATION
+
+$evalf_func_implementation=generate(
+ <<'END_OF_EVALF_FUNC_IMPLEMENTATION','','');
+function_options & function_options::evalf_func(evalf_funcp_${N} ef)
+{
+ test_and_set_nparams(${N});
+ evalf_f=evalf_funcp(ef);
+ return *this;
+}
+END_OF_EVALF_FUNC_IMPLEMENTATION
+
+$derivative_func_implementation=generate(
+ <<'END_OF_DERIVATIVE_FUNC_IMPLEMENTATION','','');
+function_options & function_options::derivative_func(derivative_funcp_${N} d)
+{
+ test_and_set_nparams(${N});
+ derivative_f=derivative_funcp(d);
+ return *this;
+}
+END_OF_DERIVATIVE_FUNC_IMPLEMENTATION
+
+$series_func_implementation=generate(
+ <<'END_OF_SERIES_FUNC_IMPLEMENTATION','','');
+function_options & function_options::series_func(series_funcp_${N} s)
+{
+ test_and_set_nparams(${N});
+ series_f=series_funcp(s);
+ return *this;
+}
+END_OF_SERIES_FUNC_IMPLEMENTATION
$interface=<<END_OF_INTERFACE;
/** \@file function.h
* Please do not modify it directly, edit the perl script instead!
* function.pl options: \$maxargs=${maxargs}
*
- * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
#include <string>
#include <vector>
-#ifdef __CINT__
// CINT needs <algorithm> to work properly with <vector>
#include <algorithm>
-#endif // def __CINT__
-
-#include <ginac/exprseq.h>
-#ifndef NO_GINAC_NAMESPACE
+#include "exprseq.h"
// the following lines have been generated for max. ${maxargs} parameters
-$declare_function_macro_namespace
+$declare_function_macro
// end of generated lines
-#else // ndef NO_GINAC_NAMESPACE
-
-// the following lines have been generated for max. ${maxargs} parameters
-$declare_function_macro_no_namespace
-// end of generated lines
-
-#endif // ndef NO_GINAC_NAMESPACE
-
-#ifndef NO_GINAC_NAMESPACE
-
-#define REGISTER_FUNCTION(NAME,E,EF,D,S) \\
-const unsigned function_index_##NAME=GiNaC::function::register_new(#NAME,E,EF,D,S);
-
-#else // ndef NO_GINAC_NAMESPACE
+#define REGISTER_FUNCTION(NAME,OPT) \\
+const unsigned function_index_##NAME= \\
+ GiNaC::function::register_new(GiNaC::function_options(#NAME).OPT);
-#define REGISTER_FUNCTION(NAME,E,EF,D,S) \\
-const unsigned function_index_##NAME=function::register_new(#NAME,E,EF,D,S);
-
-#endif // ndef NO_GINAC_NAMESPACE
+#define REGISTER_FUNCTION_OLD(NAME,E,EF,D,S) \\
+const unsigned function_index_##NAME= \\
+ GiNaC::function::register_new(GiNaC::function_options(#NAME). \\
+ eval_func(E). \\
+ evalf_func(EF). \\
+ derivative_func(D). \\
+ series_func(S));
#define BEGIN_TYPECHECK \\
bool automatic_typecheck=true;
#define TYPECHECK(VAR,TYPE) \\
if (!is_ex_exactly_of_type(VAR,TYPE)) { \\
- automatic_typecheck=false; \\
+ automatic_typecheck=false; \\
} else
-#ifndef NO_GINAC_NAMESPACE
-
#define TYPECHECK_INTEGER(VAR) \\
if (!(VAR).info(GiNaC::info_flags::integer)) { \\
- automatic_typecheck=false; \\
-} else
-
-#else // ndef NO_GINAC_NAMESPACE
-
-#define TYPECHECK_INTEGER(VAR) \\
-if (!(VAR).info(info_flags::integer)) { \\
- automatic_typecheck=false; \\
+ automatic_typecheck=false; \\
} else
-#endif // ndef NO_GINAC_NAMESPACE
-
#define END_TYPECHECK(RV) \\
{} \\
if (!automatic_typecheck) { \\
- return RV.hold(); \\
+ return RV.hold(); \\
}
-#ifndef NO_GINAC_NAMESPACE
namespace GiNaC {
-#endif // ndef NO_GINAC_NAMESPACE
class function;
typedef ex (* eval_funcp)();
typedef ex (* evalf_funcp)();
-typedef ex (* diff_funcp)();
+typedef ex (* derivative_funcp)();
typedef ex (* series_funcp)();
// the following lines have been generated for max. ${maxargs} parameters
$typedef_eval_funcp
$typedef_evalf_funcp
-$typedef_diff_funcp
+$typedef_derivative_funcp
$typedef_series_funcp
// end of generated lines
-struct registered_function_info {
- char const * name;
- unsigned nparams;
- unsigned options;
- eval_funcp e;
- evalf_funcp ef;
- diff_funcp d;
- series_funcp s;
+class function_options
+{
+ friend class function;
+public:
+ function_options();
+ function_options(std::string const & n, std::string const & tn=std::string());
+ ~function_options();
+ void initialize(void);
+ function_options & set_name(std::string const & n, std::string const & tn=std::string());
+// the following lines have been generated for max. ${maxargs} parameters
+$eval_func_interface
+$evalf_func_interface
+$derivative_func_interface
+$series_func_interface
+// end of generated lines
+ function_options & set_return_type(unsigned rt, unsigned rtt=0);
+ function_options & do_not_evalf_params(void);
+ function_options & remember(unsigned size, unsigned assoc_size=0,
+ unsigned strategy=remember_strategies::delete_never);
+ function_options & overloaded(unsigned o);
+ void test_and_set_nparams(unsigned n);
+ std::string get_name(void) const { return name; }
+ unsigned get_nparams(void) const { return nparams; }
+
+protected:
+ std::string name;
+ std::string TeX_name;
+
+ unsigned nparams;
+
+ eval_funcp eval_f;
+ evalf_funcp evalf_f;
+ derivative_funcp derivative_f;
+ series_funcp series_f;
+
+ bool evalf_params_first;
+
+ bool use_return_type;
+ unsigned return_type;
+ unsigned return_type_tinfo;
+
+ bool use_remember;
+ unsigned remember_size;
+ unsigned remember_assoc_size;
+ unsigned remember_strategy;
+
+ unsigned functions_with_same_name;
};
/** The class function is used to implement builtin functions like sin, cos...
- and user defined functions */
+ and user defined functions */
class function : public exprseq
{
- // CINT has a linking problem
- friend void ginsh_get_ginac_functions(void);
+ GINAC_DECLARE_REGISTERED_CLASS(function, exprseq)
-// member functions
+ // CINT has a linking problem
+#ifndef __MAKECINT__
+ friend void ginsh_get_ginac_functions(void);
+#endif // def __MAKECINT__
- // default constructor, destructor, copy constructor assignment operator and helpers
-public:
- function();
- ~function();
- function(function const & other);
- function const & operator=(function const & other);
-protected:
- void copy(function const & other);
- void destroy(bool call_parent);
+ friend class remember_table_entry;
+ // friend class remember_table_list;
+ // friend class remember_table;
+
+// member functions
- // other constructors
+ // other ctors
public:
- function(unsigned ser);
- // the following lines have been generated for max. ${maxargs} parameters
+ function(unsigned ser);
+ // the following lines have been generated for max. ${maxargs} parameters
$constructors_interface
- // end of generated lines
- function(unsigned ser, exprseq const & es);
- function(unsigned ser, exvector const & v, bool discardable=0);
- function(unsigned ser, exvector * vp); // vp will be deleted
+ // end of generated lines
+ function(unsigned ser, const exprseq & es);
+ function(unsigned ser, const exvector & v, bool discardable=0);
+ function(unsigned ser, exvector * vp); // vp will be deleted
- // functions overriding virtual functions from bases classes
+ // functions overriding virtual functions from bases classes
public:
- basic * duplicate() const;
- void printraw(ostream & os) const;
- void print(ostream & os, unsigned upper_precedence=0) const;
- void printtree(ostream & os, unsigned indent) const;
- void printcsrc(ostream & os, unsigned type, unsigned upper_precedence=0) const;
- ex expand(unsigned options=0) const;
- ex eval(int level=0) const;
- ex evalf(int level=0) const;
- ex diff(symbol const & s) const;
- ex series(symbol const & s, ex const & point, int order) const;
- ex thisexprseq(exvector const & v) const;
- ex thisexprseq(exvector * vp) const;
+ void print(const print_context & c, unsigned level = 0) const;
+ int degree(const ex & s) const;
+ int ldegree(const ex & s) const;
+ ex coeff(const ex & s, int n = 1) const;
+ ex expand(unsigned options=0) const;
+ ex eval(int level=0) const;
+ ex evalf(int level=0) const;
+ unsigned calchash(void) const;
+ ex series(const relational & r, int order, unsigned options = 0) const;
+ ex thisexprseq(const exvector & v) const;
+ ex thisexprseq(exvector * vp) const;
protected:
- int compare_same_type(basic const & other) const;
- bool is_equal_same_type(basic const & other) const;
- unsigned return_type(void) const;
- unsigned return_type_tinfo(void) const;
-
- // new virtual functions which can be overridden by derived classes
- // none
-
- // non-virtual functions in this class
+ ex derivative(const symbol & s) const;
+ bool is_equal_same_type(const basic & other) const;
+ unsigned return_type(void) const;
+ unsigned return_type_tinfo(void) const;
+
+ // new virtual functions which can be overridden by derived classes
+ // none
+
+ // non-virtual functions in this class
protected:
- ex pdiff(unsigned diff_param) const; // partial differentiation
- static vector<registered_function_info> & registered_functions(void);
+ ex pderivative(unsigned diff_param) const; // partial differentiation
+ static std::vector<function_options> & registered_functions(void);
+ bool lookup_remember_table(ex & result) const;
+ void store_remember_table(ex const & result) const;
public:
- // the following lines have been generated for max. ${maxargs} parameters
-$register_new_interface
- // end of generated lines
- unsigned getserial(void) const {return serial;}
-
+ static unsigned register_new(function_options const & opt);
+ static unsigned find_function(const std::string &name, unsigned nparams);
+ unsigned get_serial(void) const {return serial;}
+ std::string get_name(void) const;
+
// member variables
protected:
- unsigned serial;
+ unsigned serial;
};
-// utility macros
-
-#ifndef NO_GINAC_NAMESPACE
-
-#define is_ex_the_function(OBJ, FUNCNAME) \\
- (is_ex_exactly_of_type(OBJ, function) && static_cast<GiNaC::function *>(OBJ.bp)->getserial() == function_index_##FUNCNAME)
-
-#else // ndef NO_GINAC_NAMESPACE
+// utility functions/macros
+inline const function &ex_to_function(const ex &e)
+{
+ return static_cast<const function &>(*e.bp);
+}
#define is_ex_the_function(OBJ, FUNCNAME) \\
- (is_ex_exactly_of_type(OBJ, function) && static_cast<function *>(OBJ.bp)->getserial() == function_index_##FUNCNAME)
+ (is_ex_exactly_of_type(OBJ, function) && static_cast<GiNaC::function *>(OBJ.bp)->get_serial() == function_index_##FUNCNAME)
-#endif // ndef NO_GINAC_NAMESPACE
-
-// global constants
-
-extern const function some_function;
-extern type_info const & typeid_function;
-
-#ifndef NO_GINAC_NAMESPACE
} // namespace GiNaC
-#endif // ndef NO_GINAC_NAMESPACE
#endif // ndef __GINAC_FUNCTION_H__
* Please do not modify it directly, edit the perl script instead!
* function.pl options: \$maxargs=${maxargs}
*
- * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
#include <string>
#include <stdexcept>
+#include <list>
#include "function.h"
#include "ex.h"
+#include "lst.h"
+#include "print.h"
+#include "archive.h"
+#include "inifcns.h"
#include "utils.h"
#include "debugmsg.h"
+#include "remember.h"
-#ifndef NO_GINAC_NAMESPACE
namespace GiNaC {
-#endif // ndef NO_GINAC_NAMESPACE
//////////
-// default constructor, destructor, copy constructor assignment operator and helpers
+// helper class function_options
//////////
-// public
+function_options::function_options()
+{
+ initialize();
+}
-function::function() : serial(0)
+function_options::function_options(std::string const & n, std::string const & tn)
+{
+ initialize();
+ set_name(n,tn);
+}
+
+function_options::~function_options()
+{
+ // nothing to clean up at the moment
+}
+
+void function_options::initialize(void)
{
- debugmsg("function default constructor",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_function;
+ set_name("unnamed_function","\\\\operatorname{unnamed}");
+ nparams=0;
+ eval_f=evalf_f=derivative_f=series_f=0;
+ evalf_params_first=true;
+ use_return_type=false;
+ use_remember=false;
+ functions_with_same_name=1;
}
-function::~function()
+function_options & function_options::set_name(std::string const & n,
+ std::string const & tn)
{
- debugmsg("function destructor",LOGLEVEL_DESTRUCT);
- destroy(0);
+ name=n;
+ if (tn==std::string()) {
+ TeX_name="\\\\operatorname{"+name+"}";
+ } else {
+ TeX_name=tn;
+ }
+ return *this;
}
-function::function(function const & other)
+// the following lines have been generated for max. ${maxargs} parameters
+$eval_func_implementation
+$evalf_func_implementation
+$derivative_func_implementation
+$series_func_implementation
+// end of generated lines
+
+function_options & function_options::set_return_type(unsigned rt, unsigned rtt)
{
- debugmsg("function copy constructor",LOGLEVEL_CONSTRUCT);
- copy(other);
+ use_return_type=true;
+ return_type=rt;
+ return_type_tinfo=rtt;
+ return *this;
}
-function const & function::operator=(function const & other)
+function_options & function_options::do_not_evalf_params(void)
+{
+ evalf_params_first=false;
+ return *this;
+}
+
+function_options & function_options::remember(unsigned size,
+ unsigned assoc_size,
+ unsigned strategy)
+{
+ use_remember=true;
+ remember_size=size;
+ remember_assoc_size=assoc_size;
+ remember_strategy=strategy;
+ return *this;
+}
+
+function_options & function_options::overloaded(unsigned o)
+{
+ functions_with_same_name=o;
+ return *this;
+}
+
+void function_options::test_and_set_nparams(unsigned n)
+{
+ if (nparams==0) {
+ nparams=n;
+ } else if (nparams!=n) {
+ // we do not throw an exception here because this code is
+ // usually executed before main(), so the exception could not
+ // caught anyhow
+ std::cerr << "WARNING: number of parameters ("
+ << n << ") differs from number set before ("
+ << nparams << ")" << std::endl;
+ }
+}
+
+GINAC_IMPLEMENT_REGISTERED_CLASS(function, exprseq)
+
+//////////
+// default ctor, dtor, copy ctor assignment operator and helpers
+//////////
+
+// public
+
+function::function() : serial(0)
{
- debugmsg("function operator=",LOGLEVEL_ASSIGNMENT);
- if (this != &other) {
- destroy(1);
- copy(other);
- }
- return *this;
+ debugmsg("function default ctor",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_function;
}
// protected
-void function::copy(function const & other)
+void function::copy(const function & other)
{
- exprseq::copy(other);
- serial=other.serial;
+ exprseq::copy(other);
+ serial=other.serial;
}
void function::destroy(bool call_parent)
{
- if (call_parent) exprseq::destroy(call_parent);
+ if (call_parent) exprseq::destroy(call_parent);
}
//////////
-// other constructors
+// other ctors
//////////
// public
function::function(unsigned ser) : serial(ser)
{
- debugmsg("function constructor from unsigned",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_function;
+ debugmsg("function ctor from unsigned",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_function;
}
// the following lines have been generated for max. ${maxargs} parameters
$constructors_implementation
// end of generated lines
-function::function(unsigned ser, exprseq const & es) : exprseq(es), serial(ser)
+function::function(unsigned ser, const exprseq & es) : exprseq(es), serial(ser)
{
- debugmsg("function constructor from unsigned,exprseq",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_function;
+ debugmsg("function ctor from unsigned,exprseq",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_function;
}
-function::function(unsigned ser, exvector const & v, bool discardable)
- : exprseq(v,discardable), serial(ser)
+function::function(unsigned ser, const exvector & v, bool discardable)
+ : exprseq(v,discardable), serial(ser)
{
- debugmsg("function constructor from string,exvector,bool",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_function;
+ debugmsg("function ctor from string,exvector,bool",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_function;
}
function::function(unsigned ser, exvector * vp)
- : exprseq(vp), serial(ser)
+ : exprseq(vp), serial(ser)
{
- debugmsg("function constructor from unsigned,exvector *",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_function;
+ debugmsg("function ctor from unsigned,exvector *",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_function;
}
//////////
-// functions overriding virtual functions from bases classes
+// archiving
//////////
-// public
-
-basic * function::duplicate() const
+/** Construct object from archive_node. */
+function::function(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
+{
+ debugmsg("function ctor from archive_node", LOGLEVEL_CONSTRUCT);
+
+ // Find serial number by function name
+ std::string s;
+ if (n.find_string("name", s)) {
+ unsigned int ser = 0;
+ std::vector<function_options>::const_iterator i = registered_functions().begin(), iend = registered_functions().end();
+ while (i != iend) {
+ if (s == i->name) {
+ serial = ser;
+ return;
+ }
+ i++; ser++;
+ }
+ throw (std::runtime_error("unknown function '" + s + "' in archive"));
+ } else
+ throw (std::runtime_error("unnamed function in archive"));
+}
+
+/** Unarchive the object. */
+ex function::unarchive(const archive_node &n, const lst &sym_lst)
{
- debugmsg("function duplicate",LOGLEVEL_DUPLICATE);
- return new function(*this);
+ return (new function(n, sym_lst))->setflag(status_flags::dynallocated);
}
-void function::printraw(ostream & os) const
+/** Archive the object. */
+void function::archive(archive_node &n) const
{
- debugmsg("function printraw",LOGLEVEL_PRINT);
-
- GINAC_ASSERT(serial<registered_functions().size());
-
- os << "function(name=" << registered_functions()[serial].name;
- for (exvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
- os << ",";
- (*it).bp->print(os);
- }
- os << ")";
+ inherited::archive(n);
+ GINAC_ASSERT(serial < registered_functions().size());
+ n.add_string("name", registered_functions()[serial].name);
}
-void function::print(ostream & os, unsigned upper_precedence) const
-{
- debugmsg("function print",LOGLEVEL_PRINT);
+//////////
+// functions overriding virtual functions from bases classes
+//////////
- GINAC_ASSERT(serial<registered_functions().size());
+// public
- os << registered_functions()[serial].name;
- printseq(os,'(',',',')',exprseq::precedence,function::precedence);
+void function::print(const print_context & c, unsigned level) const
+{
+ debugmsg("function print", LOGLEVEL_PRINT);
+
+ GINAC_ASSERT(serial<registered_functions().size());
+
+ if (is_of_type(c, print_tree)) {
+
+ c.s << std::string(level, ' ') << class_name() << " "
+ << registered_functions()[serial].name
+ << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
+ << ", nops=" << nops()
+ << std::endl;
+ unsigned delta_indent = static_cast<const print_tree &>(c).delta_indent;
+ for (unsigned i=0; i<nops(); ++i)
+ seq[i].print(c, level + delta_indent);
+ c.s << std::string(level + delta_indent, ' ') << "=====" << std::endl;
+
+ } else if (is_of_type(c, print_csrc)) {
+
+ // Print function name in lowercase
+ std::string lname = registered_functions()[serial].name;
+ for (unsigned i=0; i<lname.size(); i++)
+ lname[i] = tolower(lname[i]);
+ c.s << lname << "(";
+
+ // Print arguments, separated by commas
+ exvector::const_iterator it = seq.begin(), itend = seq.end();
+ while (it != itend) {
+ it->print(c);
+ it++;
+ if (it != itend)
+ c.s << ",";
+ }
+ c.s << ")";
+
+ } else {
+ c.s << registered_functions()[serial].name;
+ printseq(c, '(', ',', ')', exprseq::precedence, function::precedence);
+ }
}
-void function::printtree(ostream & os, unsigned indent) const
+ex function::expand(unsigned options) const
{
- debugmsg("function printtree",LOGLEVEL_PRINT);
-
- GINAC_ASSERT(serial<registered_functions().size());
-
- os << string(indent,' ') << "function "
- << registered_functions()[serial].name
- << ", hash=" << hashvalue << " (0x" << hex << hashvalue << dec << ")"
- << ", flags=" << flags
- << ", nops=" << nops() << endl;
- for (int i=0; i<nops(); ++i) {
- seq[i].printtree(os,indent+delta_indent);
- }
- os << string(indent+delta_indent,' ') << "=====" << endl;
+ return this->setflag(status_flags::expanded);
}
-void function::printcsrc(ostream & os, unsigned type, unsigned upper_precedence) const
+int function::degree(const ex & s) const
{
- debugmsg("function print csrc",LOGLEVEL_PRINT);
-
- GINAC_ASSERT(serial<registered_functions().size());
-
- // Print function name in lowercase
- string lname;
- lname=registered_functions()[serial].name;
- for (unsigned i=0; i<lname.size(); i++)
- lname[i] = tolower(lname[i]);
- os << lname << "(";
+ return is_equal(*s.bp) ? 1 : 0;
+}
- // Print arguments, separated by commas
- exvector::const_iterator it = seq.begin();
- exvector::const_iterator itend = seq.end();
- while (it != itend) {
- it->bp->printcsrc(os, type, 0);
- it++;
- if (it != itend)
- os << ",";
- }
- os << ")";
+int function::ldegree(const ex & s) const
+{
+ return is_equal(*s.bp) ? 1 : 0;
}
-ex function::expand(unsigned options) const
+ex function::coeff(const ex & s, int n) const
{
- return this->setflag(status_flags::expanded);
+ if (is_equal(*s.bp))
+ return n==1 ? _ex1() : _ex0();
+ else
+ return n==0 ? ex(*this) : _ex0();
}
ex function::eval(int level) const
{
- GINAC_ASSERT(serial<registered_functions().size());
+ GINAC_ASSERT(serial<registered_functions().size());
+
+ if (level>1) {
+ // first evaluate children, then we will end up here again
+ return function(serial,evalchildren(level));
+ }
- exvector eseq=evalchildren(level);
+ if (registered_functions()[serial].eval_f==0) {
+ return this->hold();
+ }
- if (registered_functions()[serial].e==0) {
- return function(serial,eseq).hold();
- }
- switch (registered_functions()[serial].nparams) {
- // the following lines have been generated for max. ${maxargs} parameters
+ bool use_remember=registered_functions()[serial].use_remember;
+ ex eval_result;
+ if (use_remember && lookup_remember_table(eval_result)) {
+ return eval_result;
+ }
+
+ switch (registered_functions()[serial].nparams) {
+ // the following lines have been generated for max. ${maxargs} parameters
${eval_switch_statement}
- // end of generated lines
- }
- throw(std::logic_error("function::eval(): invalid nparams"));
+ // end of generated lines
+ default:
+ throw(std::logic_error("function::eval(): invalid nparams"));
+ }
+ if (use_remember) {
+ store_remember_table(eval_result);
+ }
+ return eval_result;
}
ex function::evalf(int level) const
{
- GINAC_ASSERT(serial<registered_functions().size());
-
- exvector eseq=evalfchildren(level);
-
- if (registered_functions()[serial].ef==0) {
- return function(serial,eseq).hold();
- }
- switch (registered_functions()[serial].nparams) {
- // the following lines have been generated for max. ${maxargs} parameters
+ GINAC_ASSERT(serial<registered_functions().size());
+
+ exvector eseq=evalfchildren(level);
+
+ if (registered_functions()[serial].evalf_f==0) {
+ return function(serial,eseq).hold();
+ }
+ switch (registered_functions()[serial].nparams) {
+ // the following lines have been generated for max. ${maxargs} parameters
${evalf_switch_statement}
- // end of generated lines
- }
- throw(std::logic_error("function::evalf(): invalid nparams"));
+ // end of generated lines
+ }
+ throw(std::logic_error("function::evalf(): invalid nparams"));
}
-ex function::thisexprseq(exvector const & v) const
+unsigned function::calchash(void) const
{
- return function(serial,v);
+ unsigned v = golden_ratio_hash(golden_ratio_hash(tinfo()) ^ serial);
+ for (unsigned i=0; i<nops(); i++) {
+ v = rotate_left_31(v);
+ v ^= this->op(i).gethash();
+ }
+ v &= 0x7FFFFFFFU;
+ if (flags & status_flags::evaluated) {
+ setflag(status_flags::hash_calculated);
+ hashvalue = v;
+ }
+ return v;
+}
+
+ex function::thisexprseq(const exvector & v) const
+{
+ return function(serial,v);
}
ex function::thisexprseq(exvector * vp) const
{
- return function(serial,vp);
+ return function(serial,vp);
}
/** Implementation of ex::series for functions.
* \@see ex::series */
-ex function::series(symbol const & s, ex const & point, int order) const
+ex function::series(const relational & r, int order, unsigned options) const
{
- GINAC_ASSERT(serial<registered_functions().size());
-
- if (registered_functions()[serial].s==0) {
- return basic::series(s, point, order);
- }
- ex res;
- switch (registered_functions()[serial].nparams) {
- // the following lines have been generated for max. ${maxargs} parameters
+ GINAC_ASSERT(serial<registered_functions().size());
+
+ if (registered_functions()[serial].series_f==0) {
+ return basic::series(r, order);
+ }
+ ex res;
+ switch (registered_functions()[serial].nparams) {
+ // the following lines have been generated for max. ${maxargs} parameters
${series_switch_statement}
- // end of generated lines
- }
- throw(std::logic_error("function::series(): invalid nparams"));
+ // end of generated lines
+ }
+ throw(std::logic_error("function::series(): invalid nparams"));
}
// protected
-int function::compare_same_type(basic const & other) const
+
+/** Implementation of ex::diff() for functions. It applies the chain rule,
+ * except for the Order term function.
+ * \@see ex::diff */
+ex function::derivative(const symbol & s) const
+{
+ ex result;
+
+ if (serial == function_index_Order) {
+ // Order Term function only differentiates the argument
+ return Order(seq[0].diff(s));
+ } else if (serial == function_index_Derivative) {
+ // Inert derivative performs chain rule on the first argument only, and
+ // adds differentiation parameter to list (second argument)
+ GINAC_ASSERT(is_ex_exactly_of_type(seq[0], function));
+ GINAC_ASSERT(is_ex_exactly_of_type(seq[1], function));
+ ex fcn = seq[0];
+ ex arg_diff;
+ for (unsigned i=0; i!=fcn.nops(); i++) {
+ arg_diff = fcn.op(i).diff(s);
+ if (!arg_diff.is_zero()) {
+ lst new_lst = ex_to_lst(seq[1]);
+ new_lst.append(i);
+ result += arg_diff * Derivative(fcn, new_lst);
+ }
+ }
+ } else {
+ // Chain rule
+ ex arg_diff;
+ for (unsigned i=0; i!=seq.size(); i++) {
+ arg_diff = seq[i].diff(s);
+ // We apply the chain rule only when it makes sense. This is not
+ // just for performance reasons but also to allow functions to
+ // throw when differentiated with respect to one of its arguments
+ // without running into trouble with our automatic full
+ // differentiation:
+ if (!arg_diff.is_zero())
+ result += pderivative(i)*arg_diff;
+ }
+ }
+ return result;
+}
+
+int function::compare_same_type(const basic & other) const
{
- GINAC_ASSERT(is_of_type(other, function));
- function const & o=static_cast<function &>(const_cast<basic &>(other));
+ GINAC_ASSERT(is_of_type(other, function));
+ const function & o=static_cast<function &>(const_cast<basic &>(other));
- if (serial!=o.serial) {
- return serial < o.serial ? -1 : 1;
- }
- return exprseq::compare_same_type(o);
+ if (serial!=o.serial) {
+ return serial < o.serial ? -1 : 1;
+ }
+ return exprseq::compare_same_type(o);
}
-bool function::is_equal_same_type(basic const & other) const
+bool function::is_equal_same_type(const basic & other) const
{
- GINAC_ASSERT(is_of_type(other, function));
- function const & o=static_cast<function &>(const_cast<basic &>(other));
+ GINAC_ASSERT(is_of_type(other, function));
+ const function & o=static_cast<function &>(const_cast<basic &>(other));
- if (serial!=o.serial) return false;
- return exprseq::is_equal_same_type(o);
+ if (serial!=o.serial) return false;
+ return exprseq::is_equal_same_type(o);
}
unsigned function::return_type(void) const
{
- if (seq.size()==0) {
- return return_types::commutative;
- }
- return (*seq.begin()).return_type();
+ if (seq.size()==0) {
+ return return_types::commutative;
+ }
+ return (*seq.begin()).return_type();
}
unsigned function::return_type_tinfo(void) const
{
- if (seq.size()==0) {
- return tinfo_key;
- }
- return (*seq.begin()).return_type_tinfo();
+ if (seq.size()==0) {
+ return tinfo_key;
+ }
+ return (*seq.begin()).return_type_tinfo();
}
//////////
// protected
-ex function::pdiff(unsigned diff_param) const // partial differentiation
+ex function::pderivative(unsigned diff_param) const // partial differentiation
{
- GINAC_ASSERT(serial<registered_functions().size());
-
- if (registered_functions()[serial].d==0) {
- throw(std::logic_error(string("function::pdiff(") + registered_functions()[serial].name + "): no diff function defined"));
- }
- switch (registered_functions()[serial].nparams) {
- // the following lines have been generated for max. ${maxargs} parameters
+ GINAC_ASSERT(serial<registered_functions().size());
+
+ if (registered_functions()[serial].derivative_f==0) {
+ return Derivative(*this, lst(ex(diff_param)));
+ }
+ switch (registered_functions()[serial].nparams) {
+ // the following lines have been generated for max. ${maxargs} parameters
${diff_switch_statement}
- // end of generated lines
- }
- throw(std::logic_error("function::pdiff(): no diff function defined"));
+ // end of generated lines
+ }
+ throw(std::logic_error("function::pderivative(): no diff function defined"));
}
-vector<registered_function_info> & function::registered_functions(void)
+std::vector<function_options> & function::registered_functions(void)
{
- static vector<registered_function_info> * rf=new vector<registered_function_info>;
- return *rf;
+ static std::vector<function_options> * rf = new std::vector<function_options>;
+ return *rf;
}
-// public
-
-// the following lines have been generated for max. ${maxargs} parameters
-$register_new_implementation
-// end of generated lines
-
-//////////
-// static member variables
-//////////
+bool function::lookup_remember_table(ex & result) const
+{
+ return remember_table::remember_tables()[serial].lookup_entry(*this,result);
+}
-// none
+void function::store_remember_table(ex const & result) const
+{
+ remember_table::remember_tables()[serial].add_entry(*this,result);
+}
-//////////
-// global constants
-//////////
+// public
-const function some_function;
-type_info const & typeid_function=typeid(some_function);
+unsigned function::register_new(function_options const & opt)
+{
+ unsigned same_name=0;
+ for (unsigned i=0; i<registered_functions().size(); ++i) {
+ if (registered_functions()[i].name==opt.name) {
+ same_name++;
+ }
+ }
+ if (same_name>=opt.functions_with_same_name) {
+ // we do not throw an exception here because this code is
+ // usually executed before main(), so the exception could not
+ // caught anyhow
+ std::cerr << "WARNING: function name " << opt.name
+ << " already in use!" << std::endl;
+ }
+ registered_functions().push_back(opt);
+ if (opt.use_remember) {
+ remember_table::remember_tables().
+ push_back(remember_table(opt.remember_size,
+ opt.remember_assoc_size,
+ opt.remember_strategy));
+ } else {
+ remember_table::remember_tables().push_back(remember_table());
+ }
+ return registered_functions().size()-1;
+}
+
+/** Find serial number of function by name and number of parameters.
+ * Throws exception if function was not found. */
+unsigned function::find_function(const std::string &name, unsigned nparams)
+{
+ std::vector<function_options>::const_iterator i = function::registered_functions().begin(), end = function::registered_functions().end();
+ unsigned serial = 0;
+ while (i != end) {
+ if (i->get_name() == name && i->get_nparams() == nparams)
+ return serial;
+ i++;
+ serial++;
+ }
+ throw (std::runtime_error("no function '" + name + "' with " + ToString(nparams) + " parameters defined"));
+}
+
+/** Return the print name of the function. */
+std::string function::get_name(void) const
+{
+ GINAC_ASSERT(serial<registered_functions().size());
+ return registered_functions()[serial].name;
+}
-#ifndef NO_GINAC_NAMESPACE
} // namespace GiNaC
-#endif // ndef NO_GINAC_NAMESPACE
END_OF_IMPLEMENTATION
git://www.ginac.de / ginac.git / blobdiff