* Implementation of abstract derivatives of functions. */
/*
- * GiNaC Copyright (C) 1999-2005 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2017 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
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#include <iostream>
-
#include "fderivative.h"
#include "operators.h"
#include "archive.h"
#include "utils.h"
+#include <iostream>
+
namespace GiNaC {
GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(fderivative, function,
print_func<print_context>(&fderivative::do_print).
+ print_func<print_latex>(&fderivative::do_print_latex).
+ print_func<print_csrc>(&fderivative::do_print_csrc).
print_func<print_tree>(&fderivative::do_print_tree))
//////////
fderivative::fderivative()
{
- tinfo_key = TINFO_fderivative;
}
//////////
fderivative::fderivative(unsigned ser, unsigned param, const exvector & args) : function(ser, args)
{
parameter_set.insert(param);
- tinfo_key = TINFO_fderivative;
}
fderivative::fderivative(unsigned ser, const paramset & params, const exvector & args) : function(ser, args), parameter_set(params)
{
- tinfo_key = TINFO_fderivative;
}
-fderivative::fderivative(unsigned ser, const paramset & params, std::auto_ptr<exvector> vp) : function(ser, vp), parameter_set(params)
+fderivative::fderivative(unsigned ser, const paramset & params, exvector && v) : function(ser, std::move(v)), parameter_set(params)
{
- tinfo_key = TINFO_fderivative;
}
//////////
// archiving
//////////
-fderivative::fderivative(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst)
+void fderivative::read_archive(const archive_node& n, lst& sym_lst)
{
+ inherited::read_archive(n, sym_lst);
unsigned i = 0;
while (true) {
unsigned u;
++i;
}
}
+GINAC_BIND_UNARCHIVER(fderivative);
void fderivative::archive(archive_node &n) const
{
inherited::archive(n);
- paramset::const_iterator i = parameter_set.begin(), end = parameter_set.end();
+ auto i = parameter_set.begin(), end = parameter_set.end();
while (i != end) {
n.add_unsigned("param", *i);
++i;
}
}
-DEFAULT_UNARCHIVE(fderivative)
//////////
// functions overriding virtual functions from base classes
void fderivative::do_print(const print_context & c, unsigned level) const
{
c.s << "D[";
- paramset::const_iterator i = parameter_set.begin(), end = parameter_set.end();
+ auto i = parameter_set.begin(), end = parameter_set.end();
--end;
- while (i != end)
+ while (i != end) {
c.s << *i++ << ",";
+ }
c.s << *i << "](" << registered_functions()[serial].name << ")";
printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
}
+void fderivative::do_print_latex(const print_context & c, unsigned level) const
+{
+ int order=1;
+ c.s << "\\partial_{";
+ auto i = parameter_set.begin(), end = parameter_set.end();
+ --end;
+ while (i != end) {
+ ++order;
+ c.s << *i++ << ",";
+ }
+ c.s << *i << "}";
+ if (order>1)
+ c.s << "^{" << order << "}";
+ c.s << "(" << registered_functions()[serial].TeX_name << ")";
+ printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
+}
+
+void fderivative::do_print_csrc(const print_csrc & c, unsigned level) const
+{
+ c.s << "D_";
+ auto i = parameter_set.begin(), end = parameter_set.end();
+ --end;
+ while (i != end)
+ c.s << *i++ << "_";
+ c.s << *i << "_" << registered_functions()[serial].name;
+ printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
+}
+
void fderivative::do_print_tree(const print_tree & c, unsigned level) const
{
c.s << std::string(level, ' ') << class_name() << " "
<< std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
<< ", nops=" << nops()
<< ", params=";
- paramset::const_iterator i = parameter_set.begin(), end = parameter_set.end();
+ auto i = parameter_set.begin(), end = parameter_set.end();
--end;
while (i != end)
c.s << *i++ << ",";
c.s << *i << std::endl;
- for (size_t i=0; i<seq.size(); ++i)
- seq[i].print(c, level + c.delta_indent);
+ for (auto & i : seq)
+ i.print(c, level + c.delta_indent);
c.s << std::string(level + c.delta_indent, ' ') << "=====" << std::endl;
}
-ex fderivative::eval(int level) const
+ex fderivative::eval() const
{
- if (level > 1) {
- // first evaluate children, then we will end up here again
- return fderivative(serial, parameter_set, evalchildren(level));
- }
-
// No parameters specified? Then return the function itself
if (parameter_set.empty())
return function(serial, seq);
return this->hold();
}
-/** Numeric evaluation falls back to evaluation of arguments.
- * @see basic::evalf */
-ex fderivative::evalf(int level) const
-{
- return basic::evalf(level);
-}
-
/** The series expansion of derivatives falls back to Taylor expansion.
* @see basic::series */
ex fderivative::series(const relational & r, int order, unsigned options) const
return fderivative(serial, parameter_set, v);
}
-ex fderivative::thiscontainer(std::auto_ptr<exvector> vp) const
+ex fderivative::thiscontainer(exvector && v) const
{
- return fderivative(serial, parameter_set, vp);
+ return fderivative(serial, parameter_set, std::move(v));
}
/** Implementation of ex::diff() for derivatives. It applies the chain rule.
GINAC_ASSERT(is_a<fderivative>(other));
const fderivative & o = static_cast<const fderivative &>(other);
- return parameter_set == o.parameter_set;
+ return parameter_set == o.parameter_set && inherited::match_same_type(other);
+}
+
+/** Expose this object's derivative structure.
+ *
+ * Parameter numbers occurring more than once stand for repeated
+ * differentiation with respect to that parameter. If a symbolic function
+ * f(x,y) is differentiated with respect to x, this method will return {0}.
+ * If f(x,y) is differentiated twice with respect to y, it will return {1,1}.
+ * (This corresponds to the way this object is printed.)
+ *
+ * @return multiset of function's parameter numbers that are abstractly
+ * differentiated. */
+const paramset& fderivative::derivatives() const
+{
+ return parameter_set;
}
+
} // namespace GiNaC
git://www.ginac.de / ginac.git / blobdiff