1 /** @file fderivative.cpp
3 * Implementation of abstract derivatives of functions. */
6 * GiNaC Copyright (C) 1999-2003 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"
33 GINAC_IMPLEMENT_REGISTERED_CLASS(fderivative, function)
36 // default constructor
39 fderivative::fderivative()
41 tinfo_key = TINFO_fderivative;
48 fderivative::fderivative(unsigned ser, unsigned param, const exvector & args) : function(ser, args)
50 parameter_set.insert(param);
51 tinfo_key = TINFO_fderivative;
54 fderivative::fderivative(unsigned ser, const paramset & params, const exvector & args) : function(ser, args), parameter_set(params)
56 tinfo_key = TINFO_fderivative;
59 fderivative::fderivative(unsigned ser, const paramset & params, exvector * vp) : function(ser, vp), parameter_set(params)
61 tinfo_key = TINFO_fderivative;
68 fderivative::fderivative(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst)
73 if (n.find_unsigned("param", u, i))
74 parameter_set.insert(u);
81 void fderivative::archive(archive_node &n) const
83 inherited::archive(n);
84 paramset::const_iterator i = parameter_set.begin(), end = parameter_set.end();
86 n.add_unsigned("param", *i);
91 DEFAULT_UNARCHIVE(fderivative)
94 // functions overriding virtual functions from base classes
97 void fderivative::print(const print_context & c, unsigned level) const
99 if (is_a<print_tree>(c)) {
101 c.s << std::string(level, ' ') << class_name() << " "
102 << registered_functions()[serial].name
103 << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
104 << ", nops=" << nops()
106 paramset::const_iterator i = parameter_set.begin(), end = parameter_set.end();
110 c.s << *i << std::endl;
111 unsigned delta_indent = static_cast<const print_tree &>(c).delta_indent;
112 for (size_t i=0; i<seq.size(); ++i)
113 seq[i].print(c, level + delta_indent);
114 c.s << std::string(level + delta_indent, ' ') << "=====" << std::endl;
119 paramset::const_iterator i = parameter_set.begin(), end = parameter_set.end();
123 c.s << *i << "](" << registered_functions()[serial].name << ")";
124 printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
128 ex fderivative::eval(int level) const
131 // first evaluate children, then we will end up here again
132 return fderivative(serial, parameter_set, evalchildren(level));
135 // No parameters specified? Then return the function itself
136 if (parameter_set.empty())
137 return function(serial, seq);
139 // If the function in question actually has a derivative, return it
140 if (registered_functions()[serial].has_derivative() && parameter_set.size() == 1)
141 return pderivative(*(parameter_set.begin()));
146 /** Numeric evaluation falls back to evaluation of arguments.
147 * @see basic::evalf */
148 ex fderivative::evalf(int level) const
150 return basic::evalf(level);
153 /** The series expansion of derivatives falls back to Taylor expansion.
154 * @see basic::series */
155 ex fderivative::series(const relational & r, int order, unsigned options) const
157 return basic::series(r, order, options);
160 ex fderivative::thiscontainer(const exvector & v) const
162 return fderivative(serial, parameter_set, v);
165 ex fderivative::thiscontainer(exvector * vp) const
167 return fderivative(serial, parameter_set, vp);
170 /** Implementation of ex::diff() for derivatives. It applies the chain rule.
172 ex fderivative::derivative(const symbol & s) const
175 for (size_t i=0; i<seq.size(); i++) {
176 ex arg_diff = seq[i].diff(s);
177 if (!arg_diff.is_zero()) {
178 paramset ps = parameter_set;
180 result += arg_diff * fderivative(serial, ps, seq);
186 int fderivative::compare_same_type(const basic & other) const
188 GINAC_ASSERT(is_a<fderivative>(other));
189 const fderivative & o = static_cast<const fderivative &>(other);
191 if (parameter_set != o.parameter_set)
192 return parameter_set < o.parameter_set ? -1 : 1;
194 return inherited::compare_same_type(o);
197 bool fderivative::is_equal_same_type(const basic & other) const
199 GINAC_ASSERT(is_a<fderivative>(other));
200 const fderivative & o = static_cast<const fderivative &>(other);
202 if (parameter_set != o.parameter_set)
205 return inherited::is_equal_same_type(o);
208 bool fderivative::match_same_type(const basic & other) const
210 GINAC_ASSERT(is_a<fderivative>(other));
211 const fderivative & o = static_cast<const fderivative &>(other);
213 return parameter_set == o.parameter_set;