return $res;
}
-sub generate {
- my ($template,$seq_template1,$seq_template2)=@_;
+sub generate_from_to {
+ my ($template,$seq_template1,$seq_template2,$from,$to)=@_;
my ($res,$N,$SEQ);
$res='';
- for ($N=1; $N<=$maxargs; $N++) {
+ for ($N=$from; $N<=$to; $N++) {
$SEQ1=generate_seq($seq_template1,$N);
$SEQ2=generate_seq($seq_template2,$N);
$res .= eval('"' . $template . '"');
return $res;
}
-$declare_function_macro=generate(
- <<'END_OF_DECLARE_FUNCTION_MACRO','GiNaC::ex const & p${N}','p${N}');
+sub generate {
+ my ($template,$seq_template1,$seq_template2)=@_;
+ return generate_from_to($template,$seq_template1,$seq_template2,1,$maxargs);
+}
+
+$declare_function_macro_namespace = <<'END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO_NAMESPACE';
+#ifdef CINT_CONVERSION_WORKAROUND
+
+#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); \
+} \
+inline GiNaC::function NAME(const GiNaC::basic & p1) { \
+ return GiNaC::function(function_index_##NAME, GiNaC::ex(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); \
+} \
+inline GiNaC::function NAME(const GiNaC::basic & p1, const GiNaC::ex & p2) { \
+ return GiNaC::function(function_index_##NAME, GiNaC::ex(p1), p2); \
+} \
+inline GiNaC::function NAME(const GiNaC::ex & p1, const GiNaC::basic & p2) { \
+ return GiNaC::function(function_index_##NAME, p1, GiNaC::ex(p2)); \
+} \
+inline GiNaC::function NAME(const GiNaC::basic & p1, const GiNaC::basic & p2) { \
+ return GiNaC::function(function_index_##NAME, GiNaC::ex(p1), GiNaC::ex(p2)); \
+}
+
+#else // def CINT_CONVERSION_WORKAROUND
+
+#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); \
+}
+
+#endif // def CINT_CONVERSION_WORKAROUND
+
+END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO_NAMESPACE
+
+$declare_function_macro_namespace .= generate_from_to(
+ <<'END_OF_DECLARE_FUNCTION_MACRO_NAMESPACE','const GiNaC::ex & p${N}','p${N}',3,$maxargs);
#define DECLARE_FUNCTION_${N}P(NAME) \\
-extern unsigned function_index_##NAME; \\
+extern const unsigned function_index_##NAME; \\
inline GiNaC::function NAME(${SEQ1}) { \\
return GiNaC::function(function_index_##NAME, ${SEQ2}); \\
}
-END_OF_DECLARE_FUNCTION_MACRO
+END_OF_DECLARE_FUNCTION_MACRO_NAMESPACE
+
+$declare_function_macro_no_namespace = <<'END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO_NO_NAMESPACE';
+#ifdef CINT_CONVERSION_WORKAROUND
+
+#define DECLARE_FUNCTION_1P(NAME) \
+extern const unsigned function_index_##NAME; \
+inline function NAME(const ex & p1) { \
+ return function(function_index_##NAME, p1); \
+} \
+inline function NAME(const basic & p1) { \
+ return function(function_index_##NAME, ex(p1)); \
+}
+#define DECLARE_FUNCTION_2P(NAME) \
+extern const unsigned function_index_##NAME; \
+inline function NAME(const ex & p1, const ex & p2) { \
+ return function(function_index_##NAME, p1, p2); \
+} \
+inline function NAME(const basic & p1, const ex & p2) { \
+ return function(function_index_##NAME, ex(p1), p2); \
+} \
+inline function NAME(const ex & p1, const basic & p2) { \
+ return function(function_index_##NAME, p1, ex(p2)); \
+} \
+inline function NAME(const basic & p1, const basic & p2) { \
+ return function(function_index_##NAME, ex(p1), ex(p2)); \
+}
+
+#else // def CINT_CONVERSION_WORKAROUND
+
+#define DECLARE_FUNCTION_1P(NAME) \
+extern const unsigned function_index_##NAME; \
+inline function NAME(const ex & p1) { \
+ return function(function_index_##NAME, p1); \
+}
+#define DECLARE_FUNCTION_2P(NAME) \
+extern const unsigned function_index_##NAME; \
+inline function NAME(const ex & p1, const ex & p2) { \
+ return function(function_index_##NAME, p1, p2); \
+}
+
+#endif // def CINT_CONVERSION_WORKAROUND
+
+END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO_NO_NAMESPACE
+
+$declare_function_macro_no_namespace .= generate_from_to(
+ <<'END_OF_DECLARE_FUNCTION_MACRO_NO_NAMESPACE','const ex & p${N}','p${N}',3,$maxargs);
+#define DECLARE_FUNCTION_${N}P(NAME) \\
+extern const unsigned function_index_##NAME; \\
+inline function NAME(${SEQ1}) { \\
+ return function(function_index_##NAME, ${SEQ2}); \\
+}
+
+END_OF_DECLARE_FUNCTION_MACRO_NO_NAMESPACE
$typedef_eval_funcp=generate(
'typedef ex (* eval_funcp_${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})(${SEQ1}, const symbol &, const ex &, int);'."\n",
+'const ex &','');
+
+$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)
{
END_OF_CONSTRUCTORS_IMPLEMENTATION
$eval_switch_statement=generate(
- <<'END_OF_EVAL_SWITCH_STATEMENT','eseq[${N}-1]','');
+ <<'END_OF_EVAL_SWITCH_STATEMENT','seq[${N}-1]','');
case ${N}:
- return ((eval_funcp_${N})(registered_functions()[serial].e))(${SEQ1});
+ eval_result=((eval_funcp_${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))(${SEQ1});
+ return ((evalf_funcp_${N})(registered_functions()[serial].evalf_f))(${SEQ1});
break;
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))(${SEQ1},diff_param);
+ return ((derivative_funcp_${N})(registered_functions()[serial].derivative_f))(${SEQ1},diff_param);
break;
END_OF_DIFF_SWITCH_STATEMENT
$series_switch_statement=generate(
<<'END_OF_SERIES_SWITCH_STATEMENT','seq[${N}-1]','');
case ${N}:
- return ((series_funcp_${N})(registered_functions()[serial].s))(${SEQ1},s,point,order);
+ try {
+ res = ((series_funcp_${N})(registered_functions()[serial].series_f))(${SEQ1},s,point,order);
+ } catch (do_taylor) {
+ res = basic::series(s, point, order);
+ }
+ return res;
break;
END_OF_SERIES_SWITCH_STATEMENT
-$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) 1999-2000 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>
-#include <ginac/exprseq.h>
+
+#ifdef __CINT__
+// CINT needs <algorithm> to work properly with <vector>
+#include <algorithm>
+#endif // def __CINT__
+
+#include "exprseq.h"
+
+#ifndef NO_NAMESPACE_GINAC
// the following lines have been generated for max. ${maxargs} parameters
-$declare_function_macro
+$declare_function_macro_namespace
// end of generated lines
-#define REGISTER_FUNCTION(NAME,E,EF,D,S) \\
-unsigned function_index_##NAME=GiNaC::function::register_new(#NAME,E,EF,D,S);
+#else // ndef NO_NAMESPACE_GINAC
+
+// the following lines have been generated for max. ${maxargs} parameters
+$declare_function_macro_no_namespace
+// end of generated lines
+
+#endif // ndef NO_NAMESPACE_GINAC
+
+#ifndef NO_NAMESPACE_GINAC
+
+#define REGISTER_FUNCTION(NAME,OPT) \\
+const unsigned function_index_##NAME= \\
+ GiNaC::function::register_new(GiNaC::function_options(#NAME).OPT);
+
+#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));
+
+#else // ndef NO_NAMESPACE_GINAC
+
+#define REGISTER_FUNCTION(NAME,OPT) \\
+const unsigned function_index_##NAME= \\
+ function::register_new(function_options(#NAME).OPT);
+
+#define REGISTER_FUNCTION_OLD(NAME,E,EF,D,S) \\
+const unsigned function_index_##NAME= \\
+ function::register_new(function_options(#NAME). \\
+ eval_func(E). \\
+ evalf_func(EF). \\
+ derivative_func(D). \\
+ series_func(S));
+
+#endif // ndef NO_NAMESPACE_GINAC
#define BEGIN_TYPECHECK \\
bool automatic_typecheck=true;
automatic_typecheck=false; \\
} else
+#ifndef NO_NAMESPACE_GINAC
+
#define TYPECHECK_INTEGER(VAR) \\
if (!(VAR).info(GiNaC::info_flags::integer)) { \\
automatic_typecheck=false; \\
} else
+#else // ndef NO_NAMESPACE_GINAC
+
+#define TYPECHECK_INTEGER(VAR) \\
+if (!(VAR).info(info_flags::integer)) { \\
+ automatic_typecheck=false; \\
+} else
+
+#endif // ndef NO_NAMESPACE_GINAC
+
#define END_TYPECHECK(RV) \\
{} \\
if (!automatic_typecheck) { \\
return RV.hold(); \\
}
+#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
+#endif // ndef NO_NAMESPACE_GINAC
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;
+class function_options
+{
+ friend class function;
+public:
+ function_options();
+ function_options(string const & n, string const & tn=string());
+ ~function_options();
+ void initialize(void);
+ function_options & set_name(string const & n, string const & tn=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);
+ string get_name(void) const { return name; }
+ unsigned get_nparams(void) const { return nparams; }
+
+protected:
+ string name;
+ string TeX_name;
+
unsigned nparams;
- unsigned options;
- eval_funcp e;
- evalf_funcp ef;
- diff_funcp d;
- series_funcp s;
+
+ 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 */
class function : public exprseq
{
+ GINAC_DECLARE_REGISTERED_CLASS(function, exprseq)
+
+ // CINT has a linking problem
friend void ginsh_get_ginac_functions(void);
+ friend class remember_table_entry;
+ // friend class remember_table_list;
+ // friend class remember_table;
+
// member functions
// default constructor, destructor, copy constructor assignment operator and helpers
public:
function();
~function();
- function(function const & other);
- function const & operator=(function const & other);
+ function(const function & other);
+ const function & operator=(const function & other);
protected:
- void copy(function const & other);
+ void copy(const function & other);
void destroy(bool call_parent);
// other constructors
// 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, 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
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 series(const symbol & s, const ex & point, int order) 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;
+ ex derivative(const symbol & s) const;
+ int compare_same_type(const basic & other) const;
+ bool is_equal_same_type(const basic & other) const;
unsigned return_type(void) const;
unsigned return_type_tinfo(void) const;
// 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 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
+ static unsigned register_new(function_options const & opt);
unsigned getserial(void) const {return serial;}
// member variables
// utility macros
+#ifndef NO_NAMESPACE_GINAC
+
#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_NAMESPACE_GINAC
+
+#define is_ex_the_function(OBJ, FUNCNAME) \\
+ (is_ex_exactly_of_type(OBJ, function) && static_cast<function *>(OBJ.bp)->getserial() == function_index_##FUNCNAME)
+
+#endif // ndef NO_NAMESPACE_GINAC
+
// global constants
extern const function some_function;
-extern type_info const & typeid_function;
+extern const type_info & typeid_function;
+#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
+#endif // ndef NO_NAMESPACE_GINAC
#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) 1999-2000 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 "archive.h"
+#include "inifcns.h"
+#include "utils.h"
#include "debugmsg.h"
+#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
+#endif // ndef NO_NAMESPACE_GINAC
+
+function_options::function_options()
+{
+ initialize();
+}
+
+function_options::function_options(string const & n, string const & tn)
+{
+ initialize();
+ set_name(n,tn);
+}
+
+function_options::~function_options()
+{
+ // nothing to clean up at the moment
+}
+
+void function_options::initialize(void)
+{
+ 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_options & function_options::set_name(string const & n,
+ string const & tn)
+{
+ name=n;
+ if (tn==string()) {
+ TeX_name="\\\\operatorname{"+name+"}";
+ } else {
+ TeX_name=tn;
+ }
+ return *this;
+}
+
+// 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)
+{
+ use_return_type=true;
+ return_type=rt;
+ return_type_tinfo=rtt;
+ return *this;
+}
+
+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
+ cerr << "WARNING: number of parameters ("
+ << n << ") differs from number set before ("
+ << nparams << ")" << endl;
+ }
+}
+
+class remember_table_entry {
+public:
+ remember_table_entry(function const & f, ex const & r) :
+ hashvalue(f.gethash()), seq(f.seq), result(r)
+ {
+ last_access=0;
+ successful_hits=0;
+ }
+ bool is_equal(function const & f) const
+ {
+ GINAC_ASSERT(f.seq.size()==seq.size());
+ if (f.gethash()!=hashvalue) return false;
+ for (unsigned i=0; i<seq.size(); ++i) {
+ if (!seq[i].is_equal(f.seq[i])) return false;
+ }
+ last_access=access_counter++;
+ successful_hits++;
+ return true;
+ }
+ unsigned hashvalue;
+ exvector seq;
+ ex result;
+ mutable unsigned long last_access;
+ mutable unsigned successful_hits;
+
+ static unsigned access_counter;
+};
+
+unsigned remember_table_entry::access_counter=0;
+
+class remember_table_list : public list<remember_table_entry> {
+public:
+ remember_table_list()
+ {
+ max_assoc_size=0;
+ delete_strategy=0;
+ }
+ remember_table_list(unsigned as, unsigned strat)
+ {
+ max_assoc_size=as;
+ delete_strategy=strat;
+ }
+ void add_entry(function const & f, ex const & result)
+ {
+ push_back(remember_table_entry(f,result));
+ }
+ bool lookup_entry(function const & f, ex & result) const
+ {
+ for (const_iterator cit=begin(); cit!=end(); ++cit) {
+ if (cit->is_equal(f)) {
+ result=cit->result;
+ return true;
+ }
+ }
+ return false;
+ }
+protected:
+ unsigned max_assoc_size;
+ unsigned delete_strategy;
+};
+
+
+class remember_table : public vector<remember_table_list> {
+public:
+ remember_table()
+ {
+ }
+ remember_table(unsigned s, unsigned as, unsigned strat)
+ {
+ calc_size(s);
+ reserve(table_size);
+ for (unsigned i=0; i<table_size; ++i) {
+ push_back(remember_table_list(as,strat));
+ }
+ }
+ bool lookup_entry(function const & f, ex & result) const
+ {
+ unsigned entry=f.gethash() & (table_size-1);
+ if (entry>=size()) {
+ cerr << "entry=" << entry << ",size=" << size() << endl;
+ }
+ GINAC_ASSERT(entry<size());
+ return operator[](entry).lookup_entry(f,result);
+ }
+ void add_entry(function const & f, ex const & result)
+ {
+ unsigned entry=f.gethash() & (table_size-1);
+ GINAC_ASSERT(entry<size());
+ operator[](entry).add_entry(f,result);
+ }
+ void calc_size(unsigned s)
+ {
+ // use some power of 2 next to s
+ table_size=1 << log2(s);
+ }
+protected:
+ unsigned table_size;
+};
+
+// this is not declared as a static function in the class function
+// (like registered_function()) because of issues with cint
+static vector<remember_table> & remember_tables(void)
+{
+ static vector<remember_table> * rt=new vector<remember_table>;
+ return *rt;
+}
+
+GINAC_IMPLEMENT_REGISTERED_CLASS(function, exprseq)
//////////
// default constructor, destructor, copy constructor assignment operator and helpers
destroy(0);
}
-function::function(function const & other)
+function::function(const function & other)
{
debugmsg("function copy constructor",LOGLEVEL_CONSTRUCT);
copy(other);
}
-function const & function::operator=(function const & other)
+const function & function::operator=(const function & other)
{
debugmsg("function operator=",LOGLEVEL_ASSIGNMENT);
if (this != &other) {
// protected
-void function::copy(function const & other)
+void function::copy(const function & other)
{
exprseq::copy(other);
serial=other.serial;
$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;
}
-function::function(unsigned ser, exvector const & v, bool discardable)
+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;
}
+//////////
+// archiving
+//////////
+
+/** Construct object from archive_node. */
+function::function(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
+{
+ debugmsg("function constructor from archive_node", LOGLEVEL_CONSTRUCT);
+
+ // Find serial number by function name
+ string s;
+ if (n.find_string("name", s)) {
+ unsigned int ser = 0;
+ 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)
+{
+ return (new function(n, sym_lst))->setflag(status_flags::dynallocated);
+}
+
+/** Archive the object. */
+void function::archive(archive_node &n) const
+{
+ inherited::archive(n);
+ GINAC_ASSERT(serial < registered_functions().size());
+ n.add_string("name", registered_functions()[serial].name);
+}
+
//////////
// functions overriding virtual functions from bases classes
//////////
<< ", hash=" << hashvalue << " (0x" << hex << hashvalue << dec << ")"
<< ", flags=" << flags
<< ", nops=" << nops() << endl;
- for (int i=0; i<nops(); ++i) {
+ for (unsigned i=0; i<nops(); ++i) {
seq[i].printtree(os,indent+delta_indent);
}
os << string(indent+delta_indent,' ') << "=====" << endl;
{
GINAC_ASSERT(serial<registered_functions().size());
- exvector eseq=evalchildren(level);
+ if (level>1) {
+ // first evaluate children, then we will end up here again
+ return function(serial,evalchildren(level));
+ }
- if (registered_functions()[serial].e==0) {
- return function(serial,eseq).hold();
+ if (registered_functions()[serial].eval_f==0) {
+ return this->hold();
+ }
+
+ 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
+ default:
+ throw(std::logic_error("function::eval(): invalid nparams"));
}
- 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
exvector eseq=evalfchildren(level);
- if (registered_functions()[serial].ef==0) {
+ if (registered_functions()[serial].evalf_f==0) {
return function(serial,eseq).hold();
}
switch (registered_functions()[serial].nparams) {
throw(std::logic_error("function::evalf(): invalid nparams"));
}
-ex function::thisexprseq(exvector const & v) const
+ex function::thisexprseq(const exvector & v) const
{
return function(serial,v);
}
/** 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 symbol & s, const ex & point, int order) const
{
GINAC_ASSERT(serial<registered_functions().size());
- if (registered_functions()[serial].s==0) {
+ if (registered_functions()[serial].series_f==0) {
return basic::series(s, point, order);
}
+ ex res;
switch (registered_functions()[serial].nparams) {
// the following lines have been generated for max. ${maxargs} parameters
${series_switch_statement}
// 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 {
+ // 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));
+ 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);
}
-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));
+ const function & o=static_cast<function &>(const_cast<basic &>(other));
if (serial!=o.serial) return false;
return exprseq::is_equal_same_type(o);
// 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"));
+ if (registered_functions()[serial].derivative_f==0) {
+ throw(std::logic_error(string("function::pderivative(") + registered_functions()[serial].name + "): no diff function defined"));
}
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"));
+ throw(std::logic_error("function::pderivative(): no diff function defined"));
}
-vector<registered_function_info> & function::registered_functions(void)
+vector<function_options> & function::registered_functions(void)
{
- static vector<registered_function_info> * rf=new vector<registered_function_info>;
+ static vector<function_options> * rf=new vector<function_options>;
return *rf;
}
+bool function::lookup_remember_table(ex & result) const
+{
+ return remember_tables()[serial].lookup_entry(*this,result);
+}
+
+void function::store_remember_table(ex const & result) const
+{
+ remember_tables()[serial].add_entry(*this,result);
+}
+
// public
-// the following lines have been generated for max. ${maxargs} parameters
-$register_new_implementation
-// end of generated lines
+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
+ cerr << "WARNING: function name " << opt.name
+ << " already in use!" << endl;
+ }
+ registered_functions().push_back(opt);
+ if (opt.use_remember) {
+ remember_tables().push_back(remember_table(opt.remember_size,
+ opt.remember_assoc_size,
+ opt.remember_strategy));
+ } else {
+ remember_tables().push_back(remember_table());
+ }
+ return registered_functions().size()-1;
+}
//////////
// static member variables
//////////
const function some_function;
-type_info const & typeid_function=typeid(some_function);
+const type_info & typeid_function=typeid(some_function);
+#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
+#endif // ndef NO_NAMESPACE_GINAC
END_OF_IMPLEMENTATION
git://www.ginac.de / ginac.git / blobdiff