1 /** @file fderivative.cpp
3 * Implementation of abstract derivatives of functions. */
6 * GiNaC Copyright (C) 1999-2005 Johannes Gutenberg University Mainz, Germany
8 * This program is free software; you can redistribute it and/or modify
9 * it under the terms of the GNU General Public License as published by
10 * the Free Software Foundation; either version 2 of the License, or
11 * (at your option) any later version.
13 * This program is distributed in the hope that it will be useful,
14 * but WITHOUT ANY WARRANTY; without even the implied warranty of
15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 * GNU General Public License for more details.
18 * You should have received a copy of the GNU General Public License
19 * along with this program; if not, write to the Free Software
20 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
25 #include "fderivative.h"
26 #include "operators.h"
32 GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(fderivative, function,
33 print_func<print_context>(&fderivative::do_print).
34 print_func<print_tree>(&fderivative::do_print_tree))
37 // default constructor
40 fderivative::fderivative()
42 tinfo_key = TINFO_fderivative;
49 fderivative::fderivative(unsigned ser, unsigned param, const exvector & args) : function(ser, args)
51 parameter_set.insert(param);
52 tinfo_key = TINFO_fderivative;
55 fderivative::fderivative(unsigned ser, const paramset & params, const exvector & args) : function(ser, args), parameter_set(params)
57 tinfo_key = TINFO_fderivative;
60 fderivative::fderivative(unsigned ser, const paramset & params, std::auto_ptr<exvector> vp) : function(ser, vp), parameter_set(params)
62 tinfo_key = TINFO_fderivative;
69 fderivative::fderivative(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst)
74 if (n.find_unsigned("param", u, i))
75 parameter_set.insert(u);
82 void fderivative::archive(archive_node &n) const
84 inherited::archive(n);
85 paramset::const_iterator i = parameter_set.begin(), end = parameter_set.end();
87 n.add_unsigned("param", *i);
92 DEFAULT_UNARCHIVE(fderivative)
95 // functions overriding virtual functions from base classes
98 void fderivative::print(const print_context & c, unsigned level) const
100 // class function overrides print(), but we don't want that
101 basic::print(c, level);
104 void fderivative::do_print(const print_context & c, unsigned level) const
107 paramset::const_iterator i = parameter_set.begin(), end = parameter_set.end();
111 c.s << *i << "](" << registered_functions()[serial].name << ")";
112 printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
115 void fderivative::do_print_tree(const print_tree & c, unsigned level) const
117 c.s << std::string(level, ' ') << class_name() << " "
118 << registered_functions()[serial].name << " @" << this
119 << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
120 << ", nops=" << nops()
122 paramset::const_iterator i = parameter_set.begin(), end = parameter_set.end();
126 c.s << *i << std::endl;
127 for (size_t i=0; i<seq.size(); ++i)
128 seq[i].print(c, level + c.delta_indent);
129 c.s << std::string(level + c.delta_indent, ' ') << "=====" << std::endl;
132 ex fderivative::eval(int level) const
135 // first evaluate children, then we will end up here again
136 return fderivative(serial, parameter_set, evalchildren(level));
139 // No parameters specified? Then return the function itself
140 if (parameter_set.empty())
141 return function(serial, seq);
143 // If the function in question actually has a derivative, return it
144 if (registered_functions()[serial].has_derivative() && parameter_set.size() == 1)
145 return pderivative(*(parameter_set.begin()));
150 /** Numeric evaluation falls back to evaluation of arguments.
151 * @see basic::evalf */
152 ex fderivative::evalf(int level) const
154 return basic::evalf(level);
157 /** The series expansion of derivatives falls back to Taylor expansion.
158 * @see basic::series */
159 ex fderivative::series(const relational & r, int order, unsigned options) const
161 return basic::series(r, order, options);
164 ex fderivative::thiscontainer(const exvector & v) const
166 return fderivative(serial, parameter_set, v);
169 ex fderivative::thiscontainer(std::auto_ptr<exvector> vp) const
171 return fderivative(serial, parameter_set, vp);
174 /** Implementation of ex::diff() for derivatives. It applies the chain rule.
176 ex fderivative::derivative(const symbol & s) const
179 for (size_t i=0; i<seq.size(); i++) {
180 ex arg_diff = seq[i].diff(s);
181 if (!arg_diff.is_zero()) {
182 paramset ps = parameter_set;
184 result += arg_diff * fderivative(serial, ps, seq);
190 int fderivative::compare_same_type(const basic & other) const
192 GINAC_ASSERT(is_a<fderivative>(other));
193 const fderivative & o = static_cast<const fderivative &>(other);
195 if (parameter_set != o.parameter_set)
196 return parameter_set < o.parameter_set ? -1 : 1;
198 return inherited::compare_same_type(o);
201 bool fderivative::is_equal_same_type(const basic & other) const
203 GINAC_ASSERT(is_a<fderivative>(other));
204 const fderivative & o = static_cast<const fderivative &>(other);
206 if (parameter_set != o.parameter_set)
209 return inherited::is_equal_same_type(o);
212 bool fderivative::match_same_type(const basic & other) const
214 GINAC_ASSERT(is_a<fderivative>(other));
215 const fderivative & o = static_cast<const fderivative &>(other);
217 return parameter_set == o.parameter_set;