+/** @file fderivative.cpp
+ *
+ * Implementation of abstract derivatives of functions. */
+
+/*
+ * 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
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ */
+
+#include "fderivative.h"
+#include "print.h"
+#include "archive.h"
+#include "debugmsg.h"
+#include "utils.h"
+
+namespace GiNaC {
+
+GINAC_IMPLEMENT_REGISTERED_CLASS(fderivative, function)
+
+//////////
+// default constructor, destructor, copy constructor assignment operator and helpers
+//////////
+
+fderivative::fderivative()
+{
+ debugmsg("fderivative default constructor", LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_fderivative;
+}
+
+void fderivative::copy(const fderivative & other)
+{
+ inherited::copy(other);
+ parameter_set = other.parameter_set;
+}
+
+DEFAULT_DESTROY(fderivative)
+
+//////////
+// other constructors
+//////////
+
+fderivative::fderivative(unsigned ser, unsigned param, const exvector & args) : function(ser, args)
+{
+ debugmsg("fderivative constructor from unsigned,unsigned,exvector", LOGLEVEL_CONSTRUCT);
+ parameter_set.insert(param);
+ tinfo_key = TINFO_fderivative;
+}
+
+fderivative::fderivative(unsigned ser, const paramset & params, const exvector & args) : function(ser, args), parameter_set(params)
+{
+ debugmsg("fderivative constructor from unsigned,paramset,exvector", LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_fderivative;
+}
+
+fderivative::fderivative(unsigned ser, const paramset & params, exvector * vp) : function(ser, vp), parameter_set(params)
+{
+ debugmsg("fderivative constructor from unsigned,paramset,exvector *", LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_fderivative;
+}
+
+//////////
+// archiving
+//////////
+
+fderivative::fderivative(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
+{
+ debugmsg("fderivative constructor from archive_node", LOGLEVEL_CONSTRUCT);
+ unsigned i = 0;
+ while (true) {
+ unsigned u;
+ if (n.find_unsigned("param", u, i))
+ parameter_set.insert(u);
+ else
+ break;
+ i++;
+ }
+}
+
+void fderivative::archive(archive_node &n) const
+{
+ inherited::archive(n);
+ paramset::const_iterator 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::print(const print_context & c, unsigned level) const
+{
+ debugmsg("fderivative print", LOGLEVEL_PRINT);
+
+ if (is_of_type(c, print_tree)) {
+
+ c.s << std::string(level, ' ') << class_name() << " "
+ << registered_functions()[serial].name
+ << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
+ << ", nops=" << nops()
+ << ", params=";
+ paramset::const_iterator i = parameter_set.begin(), end = parameter_set.end();
+ --end;
+ while (i != end)
+ c.s << *i++ << ",";
+ c.s << *i << endl;
+ unsigned delta_indent = static_cast<const print_tree &>(c).delta_indent;
+ for (unsigned i=0; i<seq.size(); ++i)
+ seq[i].print(c, level + delta_indent);
+ c.s << std::string(level + delta_indent, ' ') << "=====" << std::endl;
+
+ } else {
+
+ c.s << "D[";
+ paramset::const_iterator 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());
+ }
+}
+
+ex fderivative::eval(int level) 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);
+
+ // If the function in question actually has a derivative, return it
+ if (registered_functions()[serial].has_derivative() && parameter_set.size() == 1)
+ return pderivative(*(parameter_set.begin()));
+
+ 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 basic::series(r, order, options);
+}
+
+ex fderivative::thisexprseq(const exvector & v) const
+{
+ return fderivative(serial, parameter_set, v);
+}
+
+ex fderivative::thisexprseq(exvector * vp) const
+{
+ return fderivative(serial, parameter_set, vp);
+}
+
+/** Implementation of ex::diff() for derivatives. It applies the chain rule.
+ * @see ex::diff */
+ex fderivative::derivative(const symbol & s) const
+{
+ ex result;
+ for (unsigned i=0; i!=seq.size(); i++) {
+ ex arg_diff = seq[i].diff(s);
+ if (!arg_diff.is_zero()) {
+ paramset ps = parameter_set;
+ ps.insert(i);
+ result += arg_diff * fderivative(serial, ps, seq);
+ }
+ }
+ return result;
+}
+
+int fderivative::compare_same_type(const basic & other) const
+{
+ GINAC_ASSERT(is_of_type(other, fderivative));
+ const fderivative & o = static_cast<const fderivative &>(other);
+
+ if (parameter_set != o.parameter_set)
+ return parameter_set < o.parameter_set ? -1 : 1;
+ else
+ return inherited::compare_same_type(o);
+}
+
+bool fderivative::is_equal_same_type(const basic & other) const
+{
+ GINAC_ASSERT(is_of_type(other, fderivative));
+ const fderivative & o = static_cast<const fderivative &>(other);
+
+ if (parameter_set != o.parameter_set)
+ return false;
+ else
+ return inherited::is_equal_same_type(o);
+}
+
+bool fderivative::match_same_type(const basic & other) const
+{
+ GINAC_ASSERT(is_of_type(other, fderivative));
+ const fderivative & o = static_cast<const fderivative &>(other);
+
+ return parameter_set == o.parameter_set;
+}
+
+} // namespace GiNaC
git://www.ginac.de / ginac.git / commitdiff