$maxargs=13;
sub generate_seq {
- my ($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 $res;
+ my ($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)=@_;
- return generate_from_to($template,$seq_template1,$seq_template2,1,$maxargs);
+ 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';
+$declare_function_macro = <<'END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO';
#define DECLARE_FUNCTION_1P(NAME) \
extern const unsigned function_index_##NAME; \
inline GiNaC::function NAME(const GiNaC::ex & p1) { \
- return GiNaC::function(function_index_##NAME, p1); \
+ return GiNaC::function(function_index_##NAME, p1); \
}
#define DECLARE_FUNCTION_2P(NAME) \
extern const unsigned function_index_##NAME; \
inline GiNaC::function NAME(const GiNaC::ex & p1, const GiNaC::ex & p2) { \
- return GiNaC::function(function_index_##NAME, p1, p2); \
+ return GiNaC::function(function_index_##NAME, p1, p2); \
}
-END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO_NAMESPACE
+END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO
-$declare_function_macro_namespace .= generate_from_to(
- <<'END_OF_DECLARE_FUNCTION_MACRO_NAMESPACE','const GiNaC::ex & p${N}','p${N}',3,$maxargs);
+$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 const unsigned function_index_##NAME; \\
inline GiNaC::function NAME(${SEQ1}) { \\
- return GiNaC::function(function_index_##NAME, ${SEQ2}); \\
-}
-
-END_OF_DECLARE_FUNCTION_MACRO_NAMESPACE
-
-$declare_function_macro_no_namespace = <<'END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO_NO_NAMESPACE';
-#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); \
-}
-
-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}); \\
+ 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})(${SEQ1});'."\n",
'const ex & param${N}','');
$constructors_implementation=generate(
- <<'END_OF_CONSTRUCTORS_IMPLEMENTATION','const ex & param${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
$eval_switch_statement=generate(
- <<'END_OF_EVAL_SWITCH_STATEMENT','seq[${N}-1]','');
- case ${N}:
- eval_result=((eval_funcp_${N})(registered_functions()[serial].eval_f))(${SEQ1});
- break;
+ <<'END_OF_EVAL_SWITCH_STATEMENT','seq[${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].evalf_f))(${SEQ1});
- break;
+ <<'END_OF_EVALF_SWITCH_STATEMENT','eseq[${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 ${N}:
- return ((derivative_funcp_${N})(registered_functions()[serial].derivative_f))(${SEQ1},diff_param);
- break;
+ <<'END_OF_DIFF_SWITCH_STATEMENT','seq[${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].series_f))(${SEQ1},r,order,options);
- } catch (do_taylor) {
- res = basic::series(r, order, options);
- }
- return res;
- break;
+ <<'END_OF_SERIES_SWITCH_STATEMENT','seq[${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
$eval_func_implementation=generate(
- <<'END_OF_EVAL_FUNC_IMPLEMENTATION','','');
+ <<'END_OF_EVAL_FUNC_IMPLEMENTATION','','');
function_options & function_options::eval_func(eval_funcp_${N} e)
{
- test_and_set_nparams(${N});
- eval_f=eval_funcp(e);
- return *this;
+ test_and_set_nparams(${N});
+ eval_f=eval_funcp(e);
+ return *this;
}
END_OF_EVAL_FUNC_IMPLEMENTATION
$evalf_func_implementation=generate(
- <<'END_OF_EVALF_FUNC_IMPLEMENTATION','','');
+ <<'END_OF_EVALF_FUNC_IMPLEMENTATION','','');
function_options & function_options::evalf_func(evalf_funcp_${N} ef)
{
- test_and_set_nparams(${N});
- evalf_f=evalf_funcp(ef);
- return *this;
+ test_and_set_nparams(${N});
+ evalf_f=evalf_funcp(ef);
+ return *this;
}
END_OF_EVALF_FUNC_IMPLEMENTATION
$derivative_func_implementation=generate(
- <<'END_OF_DERIVATIVE_FUNC_IMPLEMENTATION','','');
+ <<'END_OF_DERIVATIVE_FUNC_IMPLEMENTATION','','');
function_options & function_options::derivative_func(derivative_funcp_${N} d)
{
- test_and_set_nparams(${N});
- derivative_f=derivative_funcp(d);
- return *this;
+ test_and_set_nparams(${N});
+ derivative_f=derivative_funcp(d);
+ return *this;
}
END_OF_DERIVATIVE_FUNC_IMPLEMENTATION
$series_func_implementation=generate(
- <<'END_OF_SERIES_FUNC_IMPLEMENTATION','','');
+ <<'END_OF_SERIES_FUNC_IMPLEMENTATION','','');
function_options & function_options::series_func(series_funcp_${N} s)
{
- test_and_set_nparams(${N});
- series_f=series_funcp(s);
- return *this;
+ test_and_set_nparams(${N});
+ series_f=series_funcp(s);
+ return *this;
}
END_OF_SERIES_FUNC_IMPLEMENTATION
* Please do not modify it directly, edit the perl script instead!
* function.pl options: \$maxargs=${maxargs}
*
- * GiNaC Copyright (C) 1999-2000 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 "exprseq.h"
-#ifndef NO_NAMESPACE_GINAC
-
// the following lines have been generated for max. ${maxargs} parameters
-$declare_function_macro_namespace
+$declare_function_macro
// end of generated lines
-#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);
+ GiNaC::function::register_new(GiNaC::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
+ 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_NAMESPACE_GINAC
-
#define TYPECHECK_INTEGER(VAR) \\
if (!(VAR).info(GiNaC::info_flags::integer)) { \\
- automatic_typecheck=false; \\
+ 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(); \\
+ return RV.hold(); \\
}
-#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
class function;
class function_options
{
- friend class function;
+ 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());
+ 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; }
+ 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;
+ std::string name;
+ std::string TeX_name;
- unsigned nparams;
+ unsigned nparams;
- eval_funcp eval_f;
- evalf_funcp evalf_f;
- derivative_funcp derivative_f;
- series_funcp series_f;
+ eval_funcp eval_f;
+ evalf_funcp evalf_f;
+ derivative_funcp derivative_f;
+ series_funcp series_f;
- bool evalf_params_first;
+ bool evalf_params_first;
- bool use_return_type;
- unsigned return_type;
- unsigned return_type_tinfo;
+ bool use_return_type;
+ unsigned return_type;
+ unsigned return_type_tinfo;
- bool use_remember;
- unsigned remember_size;
- unsigned remember_assoc_size;
- unsigned remember_strategy;
+ bool use_remember;
+ unsigned remember_size;
+ unsigned remember_assoc_size;
+ unsigned remember_strategy;
- unsigned functions_with_same_name;
+ 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
{
- GINAC_DECLARE_REGISTERED_CLASS(function, exprseq)
+ GINAC_DECLARE_REGISTERED_CLASS(function, exprseq)
- // CINT has a linking problem
+ // CINT has a linking problem
#ifndef __MAKECINT__
- friend void ginsh_get_ginac_functions(void);
+ friend void ginsh_get_ginac_functions(void);
#endif // def __MAKECINT__
- friend class remember_table_entry;
- // friend class remember_table_list;
- // friend class remember_table;
+ 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
+ // other ctors
public:
- function();
- ~function();
- function(const function & other);
- const function & operator=(const function & other);
-protected:
- void copy(const function & other);
- void destroy(bool call_parent);
-
- // other constructors
-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, const exprseq & es);
- function(unsigned ser, const exvector & 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(std::ostream & os) const;
- void print(std::ostream & os, unsigned upper_precedence=0) const;
- void printtree(std::ostream & os, unsigned indent) const;
- void printcsrc(std::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 series(const relational & r, int order, unsigned options = 0) const;
- ex thisexprseq(const exvector & 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:
- 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;
-
- // 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 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;
+ 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:
- static unsigned register_new(function_options const & opt);
- static unsigned find_function(const std::string &name, unsigned nparams);
- 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 getserial(void) const {return serial;}
+ std::string get_name(void) const;
+
// member variables
protected:
- unsigned serial;
+ unsigned serial;
};
// utility functions/macros
inline const function &ex_to_function(const ex &e)
{
- return static_cast<const function &>(*e.bp);
+ return static_cast<const function &>(*e.bp);
}
-#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
+ (is_ex_exactly_of_type(OBJ, function) && static_cast<GiNaC::function *>(OBJ.bp)->getserial() == function_index_##FUNCNAME)
-#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 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) 1999-2000 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 "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_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
//////////
// helper class function_options
function_options::function_options()
{
- initialize();
+ initialize();
}
function_options::function_options(std::string const & n, std::string const & tn)
{
- initialize();
- set_name(n,tn);
+ initialize();
+ set_name(n,tn);
}
function_options::~function_options()
{
- // nothing to clean up at the moment
+ // 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;
+ 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(std::string const & n,
std::string const & tn)
{
- name=n;
- if (tn==std::string()) {
- TeX_name="\\\\operatorname{"+name+"}";
- } else {
- TeX_name=tn;
- }
- return *this;
+ name=n;
+ if (tn==std::string()) {
+ TeX_name="\\\\operatorname{"+name+"}";
+ } else {
+ TeX_name=tn;
+ }
+ return *this;
}
// the following lines have been generated for max. ${maxargs} parameters
function_options & function_options::set_return_type(unsigned rt, unsigned rtt)
{
- use_return_type=true;
- return_type=rt;
- return_type_tinfo=rtt;
- return *this;
+ 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;
+ 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;
+ 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;
+ 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;
- }
+ 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 constructor, destructor, copy constructor assignment operator and helpers
+// default ctor, dtor, copy ctor assignment operator and helpers
//////////
// public
function::function() : serial(0)
{
- debugmsg("function default constructor",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_function;
-}
-
-function::~function()
-{
- debugmsg("function destructor",LOGLEVEL_DESTRUCT);
- destroy(0);
-}
-
-function::function(const function & other)
-{
- debugmsg("function copy constructor",LOGLEVEL_CONSTRUCT);
- copy(other);
-}
-
-const function & function::operator=(const function & other)
-{
- 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(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
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, const exvector & v, bool discardable)
- : exprseq(v,discardable), serial(ser)
+ : 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;
}
//////////
/** 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
- 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"));
+ 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)
{
- return (new function(n, sym_lst))->setflag(status_flags::dynallocated);
+ 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);
+ inherited::archive(n);
+ GINAC_ASSERT(serial < registered_functions().size());
+ n.add_string("name", registered_functions()[serial].name);
}
//////////
// public
-basic * function::duplicate() const
+void function::print(const print_context & c, unsigned level) const
{
- debugmsg("function duplicate",LOGLEVEL_DUPLICATE);
- return new function(*this);
-}
+ debugmsg("function print", LOGLEVEL_PRINT);
-void function::printraw(std::ostream & os) const
-{
- debugmsg("function printraw",LOGLEVEL_PRINT);
+ GINAC_ASSERT(serial<registered_functions().size());
- GINAC_ASSERT(serial<registered_functions().size());
+ if (is_of_type(c, print_tree)) {
- os << "function(name=" << registered_functions()[serial].name;
- for (exvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
- os << ",";
- (*it).bp->print(os);
- }
- os << ")";
-}
+ 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;
-void function::print(std::ostream & os, unsigned upper_precedence) const
-{
- debugmsg("function print",LOGLEVEL_PRINT);
+ } else if (is_of_type(c, print_csrc)) {
- GINAC_ASSERT(serial<registered_functions().size());
+ // 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 << "(";
- os << registered_functions()[serial].name;
- printseq(os,'(',',',')',exprseq::precedence,function::precedence);
+ // 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(std::ostream & os, unsigned indent) const
+ex function::expand(unsigned options) const
{
- debugmsg("function printtree",LOGLEVEL_PRINT);
-
- GINAC_ASSERT(serial<registered_functions().size());
-
- os << std::string(indent,' ') << "function "
- << registered_functions()[serial].name
- << ", hash=" << hashvalue
- << " (0x" << std::hex << hashvalue << std::dec << ")"
- << ", flags=" << flags
- << ", nops=" << nops() << std::endl;
- for (unsigned i=0; i<nops(); ++i) {
- seq[i].printtree(os,indent+delta_indent);
- }
- os << std::string(indent+delta_indent,' ') << "=====" << std::endl;
+ return this->setflag(status_flags::expanded);
}
-void function::printcsrc(std::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
- std::string lname;
- lname=registered_functions()[serial].name;
- for (unsigned i=0; i<lname.size(); i++)
- lname[i] = tolower(lname[i]);
- os << lname << "(";
-
- // 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 << ")";
+ return is_equal(*s.bp) ? 1 : 0;
}
-ex function::expand(unsigned options) const
+int function::ldegree(const ex & s) const
{
- return this->setflag(status_flags::expanded);
+ return is_equal(*s.bp) ? 1 : 0;
+}
+
+ex function::coeff(const ex & s, int n) const
+{
+ 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));
- }
+ if (level>1) {
+ // first evaluate children, then we will end up here again
+ return function(serial,evalchildren(level));
+ }
- if (registered_functions()[serial].eval_f==0) {
- return this->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;
- }
+ 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
+ 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"));
- }
- if (use_remember) {
- store_remember_table(eval_result);
- }
- return eval_result;
+ // 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].evalf_f==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"));
+}
+
+unsigned function::calchash(void) const
+{
+ 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);
+ 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(const relational & r, int order, unsigned options = 0) const
+ex function::series(const relational & r, int order, unsigned options) const
{
- 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
+ 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
* \@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;
+ 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));
- const function & 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(const basic & other) const
{
- GINAC_ASSERT(is_of_type(other, function));
- const function & 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();
}
//////////
ex function::pderivative(unsigned diff_param) const // partial differentiation
{
- GINAC_ASSERT(serial<registered_functions().size());
-
- if (registered_functions()[serial].derivative_f==0) {
- return Derivative(*this, lst(diff_param));
- }
- 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::pderivative(): no diff function defined"));
+ // end of generated lines
+ }
+ throw(std::logic_error("function::pderivative(): no diff function defined"));
}
std::vector<function_options> & function::registered_functions(void)
{
- static std::vector<function_options> * rf = new std::vector<function_options>;
- return *rf;
+ static std::vector<function_options> * rf = new std::vector<function_options>;
+ return *rf;
}
bool function::lookup_remember_table(ex & result) const
{
- return remember_table::remember_tables()[serial].lookup_entry(*this,result);
+ return remember_table::remember_tables()[serial].lookup_entry(*this,result);
}
void function::store_remember_table(ex const & result) const
{
- remember_table::remember_tables()[serial].add_entry(*this,result);
+ remember_table::remember_tables()[serial].add_entry(*this,result);
}
// public
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;
+ 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"));
+ 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"));
}
-//////////
-// static member variables
-//////////
-
-// none
-
-//////////
-// global constants
-//////////
-
-const function some_function;
-const type_info & typeid_function=typeid(some_function);
+/** 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_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC
END_OF_IMPLEMENTATION
git://www.ginac.de / ginac.git / blobdiff