]> www.ginac.de Git - ginac.git/blobdiff - ginac/function.pl
* Remove obsolete macros.
[ginac.git] / ginac / function.pl
index b9ee78710d643a54b28914a1a9e7c36c108c350b..47cc5492bf5867be978fe666c4d97081ebe4e7f1 100755 (executable)
@@ -15,108 +15,96 @@ sub generate_seq {
 }
 
 sub generate_from_to {
-       my ($template,$seq_template1,$seq_template2,$from,$to)=@_;
+       my ($template,$seq_template1,$seq_template2,$seq_template3,$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);
+               $SEQ3=generate_seq($seq_template3,$N);
                $res .= eval('"' . $template . '"');
                $SEQ1=''; # to avoid main::SEQ1 used only once warning
                $SEQ2=''; # same as above
+               $SEQ3=''; # 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,$seq_template3)=@_;
+       return generate_from_to($template,$seq_template1,$seq_template2,$seq_template3,1,$maxargs);
 }
 
-$declare_function_macro = <<'END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO';
-#define DECLARE_FUNCTION_1P(NAME) \
-extern const unsigned function_index_##NAME; \
-inline GiNaC::function NAME(const GiNaC::ex & p1) { \
-       return GiNaC::function(function_index_##NAME, p1); \
-}
-#define DECLARE_FUNCTION_2P(NAME) \
-extern const unsigned function_index_##NAME; \
-inline GiNaC::function NAME(const GiNaC::ex & p1, const GiNaC::ex & p2) { \
-       return GiNaC::function(function_index_##NAME, p1, p2); \
-}
-
-END_OF_DECLARE_FUNCTION_1_AND_2P_MACRO
-
-$declare_function_macro .= generate_from_to(
-       <<'END_OF_DECLARE_FUNCTION_MACRO','const GiNaC::ex & p${N}','p${N}',3,$maxargs);
+$declare_function_macro = generate(
+       <<'END_OF_DECLARE_FUNCTION_MACRO','typename T${N}','const T${N} & p${N}','GiNaC::ex(p${N})');
 #define DECLARE_FUNCTION_${N}P(NAME) \\
 extern const unsigned function_index_##NAME; \\
-inline GiNaC::function NAME(${SEQ1}) { \\
-       return GiNaC::function(function_index_##NAME, ${SEQ2}); \\
+template<${SEQ1}> \\
+inline const GiNaC::function NAME(${SEQ2}) { \\
+       return GiNaC::function(function_index_##NAME, ${SEQ3}); \\
 }
 
 END_OF_DECLARE_FUNCTION_MACRO
 
 $typedef_eval_funcp=generate(
 'typedef ex (* eval_funcp_${N})(${SEQ1});'."\n",
-'const ex &','');
+'const ex &','','');
 
 $typedef_evalf_funcp=generate(
 'typedef ex (* evalf_funcp_${N})(${SEQ1});'."\n",
-'const ex &','');
+'const ex &','','');
 
 $typedef_derivative_funcp=generate(
 'typedef ex (* derivative_funcp_${N})(${SEQ1}, unsigned);'."\n",
-'const ex &','');
+'const ex &','','');
 
 $typedef_series_funcp=generate(
 'typedef ex (* series_funcp_${N})(${SEQ1}, const relational &, int, unsigned);'."\n",
-'const ex &','');
+'const ex &','','');
 
-$eval_func_interface=generate('    function_options & eval_func(eval_funcp_${N} e);'."\n",'','');
+$eval_func_interface=generate('    function_options & eval_func(eval_funcp_${N} e);'."\n",'','','');
 
-$evalf_func_interface=generate('    function_options & evalf_func(evalf_funcp_${N} ef);'."\n",'','');
+$evalf_func_interface=generate('    function_options & evalf_func(evalf_funcp_${N} ef);'."\n",'','','');
 
-$derivative_func_interface=generate('    function_options & derivative_func(derivative_funcp_${N} d);'."\n",'','');
+$derivative_func_interface=generate('    function_options & derivative_func(derivative_funcp_${N} d);'."\n",'','','');
 
-$series_func_interface=generate('    function_options & series_func(series_funcp_${N} s);'."\n",'','');
+$series_func_interface=generate('    function_options & series_func(series_funcp_${N} s);'."\n",'','','');
 
 $constructors_interface=generate(
 '    function(unsigned ser, ${SEQ1});'."\n",
-'const ex & param${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)
 {
-       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]','');
+       <<'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]','');
+       <<'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]','');
+       <<'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]','');
+       <<'END_OF_SERIES_SWITCH_STATEMENT','seq[${N}-1]','','');
        case ${N}:
                try {
                        res = ((series_funcp_${N})(registered_functions()[serial].series_f))(${SEQ1},r,order,options);
@@ -127,7 +115,7 @@ $series_switch_statement=generate(
 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(${N});
@@ -137,7 +125,7 @@ function_options & function_options::eval_func(eval_funcp_${N} e)
 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(${N});
@@ -147,7 +135,7 @@ function_options & function_options::evalf_func(evalf_funcp_${N} ef)
 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(${N});
@@ -157,7 +145,7 @@ function_options & function_options::derivative_func(derivative_funcp_${N} d)
 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});
@@ -169,7 +157,7 @@ END_OF_SERIES_FUNC_IMPLEMENTATION
 $interface=<<END_OF_INTERFACE;
 /** \@file function.h
  *
- *  Interface to abstract class function (new function concept). */
+ *  Interface to class of symbolic functions. */
 
 /*
  *  This file was generated automatically by function.pl.
@@ -199,7 +187,7 @@ $interface=<<END_OF_INTERFACE;
 #include <string>
 #include <vector>
 
-// CINT needs <algorithm> to work properly with <vector> 
+// CINT needs <algorithm> to work properly with <vector>
 #include <algorithm>
 
 #include "exprseq.h"
@@ -212,25 +200,6 @@ $declare_function_macro
 const unsigned function_index_##NAME= \\
        GiNaC::function::register_new(GiNaC::function_options(#NAME).OPT);
 
-#define BEGIN_TYPECHECK \\
-bool automatic_typecheck=true;
-
-#define TYPECHECK(VAR,TYPE) \\
-if (!is_exactly_a<TYPE>(VAR)) { \\
-       automatic_typecheck=false; \\
-} else
-
-#define TYPECHECK_INTEGER(VAR) \\
-if (!(VAR).info(GiNaC::info_flags::integer)) { \\
-       automatic_typecheck=false; \\
-} else
-
-#define END_TYPECHECK(RV) \\
-{} \\
-if (!automatic_typecheck) { \\
-       return RV.hold(); \\
-}
-
 namespace GiNaC {
 
 class function;
@@ -248,9 +217,17 @@ $typedef_derivative_funcp
 $typedef_series_funcp
 // end of generated lines
 
+// Alternatively, an exvector may be passed into the static function, instead
+// of individual ex objects.  Then, the number of arguments is not limited.
+typedef ex (* eval_funcp_exvector)(const exvector &);
+typedef ex (* evalf_funcp_exvector)(const exvector &);
+typedef ex (* derivative_funcp_exvector)(const exvector &, unsigned);
+typedef ex (* series_funcp_exvector)(const exvector &, const relational &, int, unsigned);
+
 class function_options
 {
        friend class function;
+       friend class fderivative;
 public:
        function_options();
        function_options(std::string const & n, std::string const & tn=std::string());
@@ -264,6 +241,11 @@ $evalf_func_interface
 $derivative_func_interface
 $series_func_interface
 // end of generated lines
+       function_options & eval_func(eval_funcp_exvector e);
+       function_options & evalf_func(evalf_funcp_exvector ef);
+       function_options & derivative_func(derivative_funcp_exvector d);
+       function_options & series_func(series_funcp_exvector s);
+
        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,
@@ -297,6 +279,11 @@ protected:
        unsigned remember_assoc_size;
        unsigned remember_strategy;
 
+       bool eval_use_exvector_args;
+       bool evalf_use_exvector_args;
+       bool derivative_use_exvector_args;
+       bool series_use_exvector_args;
+
        unsigned functions_with_same_name;
 
        ex symtree;
@@ -316,7 +303,6 @@ class function : public exprseq
        friend class remember_table_entry;
        // friend class remember_table_list;
        // friend class remember_table;
-       friend ex Derivative_eval(const ex &, const ex &);
 
 // member functions
 
@@ -330,7 +316,7 @@ $constructors_interface
        function(unsigned ser, const exvector & v, bool discardable = false);
        function(unsigned ser, exvector * vp); // vp will be deleted
 
-       // functions overriding virtual functions from bases classes
+       // functions overriding virtual functions from base classes
 public:
        void print(const print_context & c, unsigned level = 0) const;
        unsigned precedence(void) const {return 70;}
@@ -362,10 +348,11 @@ protected:
        void store_remember_table(ex const & result) const;
 public:
        static unsigned register_new(function_options const & opt);
+       static unsigned current_serial;
        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:
@@ -373,12 +360,6 @@ protected:
 };
 
 // utility functions/macros
-/** Return the object of type function handled by an ex.
- *  This is unsafe: you need to check the type first. */
-inline const function &ex_to_function(const ex &e)
-{
-       return static_cast<const function &>(*e.bp);
-}
 
 /** Specialization of is_exactly_a<function>(obj) for objects of type function. */
 template<> inline bool is_exactly_a<function>(const basic & obj)
@@ -387,7 +368,7 @@ template<> inline bool is_exactly_a<function>(const basic & obj)
 }
 
 #define is_ex_the_function(OBJ, FUNCNAME) \\
-       (is_ex_exactly_of_type(OBJ, function) && static_cast<GiNaC::function *>(OBJ.bp)->get_serial() == function_index_##FUNCNAME)
+       (is_exactly_a<GiNaC::function>(OBJ) && ex_to<GiNaC::function>(OBJ).get_serial() == function_index_##FUNCNAME)
 
 } // namespace GiNaC
 
@@ -398,7 +379,7 @@ END_OF_INTERFACE
 $implementation=<<END_OF_IMPLEMENTATION;
 /** \@file function.cpp
  *
- *  Implementation of class function. */
+ *  Implementation of class of symbolic functions. */
 
 /*
  *  This file was generated automatically by function.pl.
@@ -422,19 +403,21 @@ $implementation=<<END_OF_IMPLEMENTATION;
  *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
  */
 
+#include <iostream>
 #include <string>
 #include <stdexcept>
 #include <list>
 
 #include "function.h"
+#include "fderivative.h"
 #include "ex.h"
 #include "lst.h"
 #include "symmetry.h"
 #include "print.h"
 #include "archive.h"
 #include "inifcns.h"
+#include "tostring.h"
 #include "utils.h"
-#include "debugmsg.h"
 #include "remember.h"
 
 namespace GiNaC {
@@ -466,6 +449,10 @@ void function_options::initialize(void)
        eval_f = evalf_f = derivative_f = series_f = 0;
        evalf_params_first = true;
        use_return_type = false;
+       eval_use_exvector_args = false;
+       evalf_use_exvector_args = false;
+       derivative_use_exvector_args = false;
+       series_use_exvector_args = false;
        use_remember = false;
        functions_with_same_name = 1;
        symtree = 0;
@@ -474,7 +461,7 @@ void function_options::initialize(void)
 function_options & function_options::set_name(std::string const & n,
                                               std::string const & tn)
 {
-       name=n;
+       name = n;
        if (tn==std::string())
                TeX_name = "\\\\mbox{"+name+"}";
        else
@@ -484,7 +471,7 @@ function_options & function_options::set_name(std::string const & n,
 
 function_options & function_options::latex_name(std::string const & tn)
 {
-       TeX_name=tn;
+       TeX_name = tn;
        return *this;
 }
 
@@ -495,6 +482,32 @@ $derivative_func_implementation
 $series_func_implementation
 // end of generated lines
 
+function_options& function_options::eval_func(eval_funcp_exvector e)
+{
+       eval_use_exvector_args = true;
+       eval_f = eval_funcp(e);
+       return *this;
+}
+function_options& function_options::evalf_func(evalf_funcp_exvector ef)
+{
+       evalf_use_exvector_args = true;
+       evalf_f = evalf_funcp(ef);
+       return *this;
+}
+function_options& function_options::derivative_func(derivative_funcp_exvector d)
+{
+       derivative_use_exvector_args = true;
+       derivative_f = derivative_funcp(d);
+       return *this;
+}
+function_options& function_options::series_func(series_funcp_exvector s)
+{
+       series_use_exvector_args = true;
+       series_f = series_funcp(s);
+       return *this;
+}
+
+
 function_options & function_options::set_return_type(unsigned rt, unsigned rtt)
 {
        use_return_type = true;
@@ -546,17 +559,20 @@ void function_options::test_and_set_nparams(unsigned n)
        }
 }
 
+/** This can be used as a hook for external applications. */
+unsigned function::current_serial = 0;
+
+
 GINAC_IMPLEMENT_REGISTERED_CLASS(function, exprseq)
 
 //////////
-// default ctor, dtor, copy ctor assignment operator and helpers
+// default ctor, dtor, copy ctor, assignment operator and helpers
 //////////
 
 // public
 
 function::function() : serial(0)
 {
-       debugmsg("function default ctor",LOGLEVEL_CONSTRUCT);
        tinfo_key = TINFO_function;
 }
 
@@ -582,7 +598,6 @@ void function::destroy(bool call_parent)
 
 function::function(unsigned ser) : serial(ser)
 {
-       debugmsg("function ctor from unsigned",LOGLEVEL_CONSTRUCT);
        tinfo_key = TINFO_function;
 }
 
@@ -592,21 +607,18 @@ $constructors_implementation
 
 function::function(unsigned ser, const exprseq & es) : exprseq(es), serial(ser)
 {
-       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)
 {
-       debugmsg("function ctor from string,exvector,bool",LOGLEVEL_CONSTRUCT);
        tinfo_key = TINFO_function;
 }
 
 function::function(unsigned ser, exvector * vp) 
   : exprseq(vp), serial(ser)
 {
-       debugmsg("function ctor from unsigned,exvector *",LOGLEVEL_CONSTRUCT);
        tinfo_key = TINFO_function;
 }
 
@@ -617,8 +629,6 @@ function::function(unsigned ser, exvector * vp)
 /** 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)) {
@@ -629,7 +639,7 @@ function::function(const archive_node &n, const lst &sym_lst) : inherited(n, sym
                                serial = ser;
                                return;
                        }
-                       i++; ser++;
+                       ++i; ++ser;
                }
                throw (std::runtime_error("unknown function '" + s + "' in archive"));
        } else
@@ -651,15 +661,13 @@ void function::archive(archive_node &n) const
 }
 
 //////////
-// functions overriding virtual functions from bases classes
+// functions overriding virtual functions from base classes
 //////////
 
 // public
 
 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)) {
@@ -687,7 +695,7 @@ void function::print(const print_context & c, unsigned level) const
                exvector::const_iterator it = seq.begin(), itend = seq.end();
                while (it != itend) {
                        it->print(c);
-                       it++;
+                       ++it;
                        if (it != itend)
                                c.s << ",";
                }
@@ -713,20 +721,20 @@ ex function::expand(unsigned options) const
 
 int function::degree(const ex & s) const
 {
-       return is_equal(*s.bp) ? 1 : 0;
+       return is_equal(ex_to<basic>(s)) ? 1 : 0;
 }
 
 int function::ldegree(const ex & s) const
 {
-       return is_equal(*s.bp) ? 1 : 0;
+       return is_equal(ex_to<basic>(s)) ? 1 : 0;
 }
 
 ex function::coeff(const ex & s, int n) const
 {
-       if (is_equal(*s.bp))
-               return n==1 ? _ex1() : _ex0();
+       if (is_equal(ex_to<basic>(s)))
+               return n==1 ? _ex1 : _ex0;
        else
-               return n==0 ? ex(*this) : _ex0();
+               return n==0 ? ex(*this) : _ex0;
 }
 
 ex function::eval(int level) const
@@ -743,12 +751,12 @@ ex function::eval(int level) const
        // Canonicalize argument order according to the symmetry properties
        if (seq.size() > 1 && !(opt.symtree.is_zero())) {
                exvector v = seq;
-               GINAC_ASSERT(is_ex_exactly_of_type(opt.symtree, symmetry));
+               GINAC_ASSERT(is_a<symmetry>(opt.symtree));
                int sig = canonicalize(v.begin(), ex_to<symmetry>(opt.symtree));
                if (sig != INT_MAX) {
                        // Something has changed while sorting arguments, more evaluations later
                        if (sig == 0)
-                               return _ex0();
+                               return _ex0;
                        return ex(sig) * thisexprseq(v);
                }
        }
@@ -762,7 +770,10 @@ ex function::eval(int level) const
        if (use_remember && lookup_remember_table(eval_result)) {
                return eval_result;
        }
-
+       current_serial = serial;
+       if (registered_functions()[serial].eval_use_exvector_args)
+               eval_result = ((eval_funcp_exvector)(registered_functions()[serial].eval_f))(seq);
+       else
        switch (opt.nparams) {
                // the following lines have been generated for max. ${maxargs} parameters
 ${eval_switch_statement}
@@ -788,16 +799,19 @@ ex function::evalf(int level) const
                throw(std::runtime_error("max recursion level reached"));
        else
                eseq.reserve(seq.size());
-       level--;
+       --level;
        exvector::const_iterator it = seq.begin(), itend = seq.end();
        while (it != itend) {
-               eseq.push_back((*it).evalf(level));
-               it++;
+               eseq.push_back(it->evalf(level));
+               ++it;
        }
        
        if (registered_functions()[serial].evalf_f==0) {
                return function(serial,eseq).hold();
        }
+       current_serial = serial;
+       if (registered_functions()[serial].evalf_use_exvector_args)
+               return ((evalf_funcp_exvector)(registered_functions()[serial].evalf_f))(seq);
        switch (registered_functions()[serial].nparams) {
                // the following lines have been generated for max. ${maxargs} parameters
 ${evalf_switch_statement}
@@ -841,6 +855,15 @@ ex function::series(const relational & r, int order, unsigned options) const
                return basic::series(r, order);
        }
        ex res;
+       current_serial = serial;
+       if (registered_functions()[serial].series_use_exvector_args) {
+               try {
+                       res = ((series_funcp_exvector)(registered_functions()[serial].series_f))(seq, r, order, options);
+               } catch (do_taylor) {
+                       res = basic::series(r, order, options);
+               }
+               return res;
+       }
        switch (registered_functions()[serial].nparams) {
                // the following lines have been generated for max. ${maxargs} parameters
 ${series_switch_statement}
@@ -857,25 +880,10 @@ ${series_switch_statement}
 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;
@@ -956,9 +964,13 @@ 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(ex(diff_param)));
-       }
+       // No derivative defined? Then return abstract derivative object
+       if (registered_functions()[serial].derivative_f == NULL)
+               return fderivative(serial, diff_param, seq);
+
+       current_serial = serial;
+       if (registered_functions()[serial].derivative_use_exvector_args)
+               return ((derivative_funcp_exvector)(registered_functions()[serial].derivative_f))(seq, diff_param);
        switch (registered_functions()[serial].nparams) {
                // the following lines have been generated for max. ${maxargs} parameters
 ${diff_switch_statement}
@@ -990,7 +1002,7 @@ 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++;
+                       ++same_name;
                }
        }
        if (same_name>=opt.functions_with_same_name) {
@@ -998,14 +1010,14 @@ unsigned function::register_new(function_options const & opt)
                // usually executed before main(), so the exception could not
                // caught anyhow
                std::cerr << "WARNING: function name " << opt.name
-                                 << " already in use!" << std::endl;
+                         << " 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));
+                                                opt.remember_assoc_size,
+                                                opt.remember_strategy));
        } else {
                remember_table::remember_tables().push_back(remember_table());
        }
@@ -1021,8 +1033,8 @@ unsigned function::find_function(const std::string &name, unsigned nparams)
        while (i != end) {
                if (i->get_name() == name && i->get_nparams() == nparams)
                        return serial;
-               i++;
-               serial++;
+               ++i;
+               ++serial;
        }
        throw (std::runtime_error("no function '" + name + "' with " + ToString(nparams) + " parameters defined"));
 }