3 * Interface to symbolic matrices */
6 * GiNaC Copyright (C) 1999-2000 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
23 #ifndef __GINAC_MATRIX_H__
24 #define __GINAC_MATRIX_H__
31 // forward declaration, so <stdexcept> need not be included:
35 #ifndef NO_NAMESPACE_GINAC
37 #endif // ndef NO_NAMESPACE_GINAC
39 /** Symbolic matrices. */
40 class matrix : public basic
42 GINAC_DECLARE_REGISTERED_CLASS(matrix, basic)
48 // default constructor, destructor, copy constructor, assignment operator
53 matrix(const matrix & other);
54 const matrix & operator=(const matrix & other);
56 void copy(const matrix & other);
57 void destroy(bool call_parent);
61 matrix(unsigned r, unsigned c);
62 matrix(unsigned r, unsigned c, const exvector & m2);
64 // functions overriding virtual functions from bases classes
66 basic * duplicate() const;
67 void print(std::ostream & os, unsigned upper_precedence=0) const;
68 void printraw(std::ostream & os) const;
69 unsigned nops() const;
72 ex expand(unsigned options=0) const;
73 bool has(const ex & other) const;
74 ex eval(int level=0) const;
75 ex evalf(int level=0) const;
76 // ex subs(const lst & ls, const lst & lr) const;
78 int compare_same_type(const basic & other) const;
79 unsigned return_type(void) const { return return_types::noncommutative; };
80 // new virtual functions which can be overridden by derived classes
83 // non-virtual functions in this class
85 unsigned rows(void) const //! get number of rows.
87 unsigned cols(void) const //! get number of columns.
89 matrix add(const matrix & other) const;
90 matrix sub(const matrix & other) const;
91 matrix mul(const matrix & other) const;
92 const ex & operator() (unsigned ro, unsigned co) const;
93 matrix & set(unsigned ro, unsigned co, ex value);
94 matrix transpose(void) const;
95 ex determinant(void) const;
97 ex charpoly(const symbol & lambda) const;
98 matrix inverse(void) const;
99 matrix fraction_free_elim(const matrix & vars, const matrix & v) const;
100 matrix solve(const matrix & vars, const matrix & rhs) const;
101 matrix old_solve(const matrix & v) const; // FIXME: may be removed
103 ex determinant_minor(void) const;
104 int gauss_elimination(void);
105 int division_free_elimination(void);
106 int fraction_free_elimination(bool det = false);
107 int pivot(unsigned ro, bool symbolic=true);
108 void swap(unsigned r1, unsigned c1, unsigned r2 ,unsigned c2);
112 unsigned row; /**< number of rows */
113 unsigned col; /**< number of columns */
114 exvector m; /**< representation (cols indexed first) */
115 static unsigned precedence;
120 extern const matrix some_matrix;
121 extern const type_info & typeid_matrix;
124 // wrapper functions around member functions
126 inline unsigned nops(const matrix & m)
129 inline ex expand(const matrix & m, unsigned options=0)
130 { return m.expand(options); }
132 inline bool has(const matrix & m, const ex & other)
133 { return m.has(other); }
135 inline ex eval(const matrix & m, int level=0)
136 { return m.eval(level); }
138 inline ex evalf(const matrix & m, int level=0)
139 { return m.evalf(level); }
141 inline unsigned rows(const matrix & m)
144 inline unsigned cols(const matrix & m)
147 inline matrix transpose(const matrix & m)
148 { return m.transpose(); }
150 inline ex determinant(const matrix & m)
151 { return m.determinant(); }
153 inline ex trace(const matrix & m)
154 { return m.trace(); }
156 inline ex charpoly(const matrix & m, const symbol & lambda)
157 { return m.charpoly(lambda); }
159 inline matrix inverse(const matrix & m)
160 { return m.inverse(); }
163 inline const matrix &ex_to_matrix(const ex &e)
165 return static_cast<const matrix &>(*e.bp);
168 extern ex lst_to_matrix(const ex &l);
170 #ifndef NO_NAMESPACE_GINAC
172 #endif // ndef NO_NAMESPACE_GINAC
174 #endif // ndef __GINAC_MATRIX_H__