3 * Interface to symbolic matrices */
6 * GiNaC Copyright (C) 1999-2001 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__
30 #ifndef NO_NAMESPACE_GINAC
32 #endif // ndef NO_NAMESPACE_GINAC
34 /** Symbolic matrices. */
35 class matrix : public basic
37 GINAC_DECLARE_REGISTERED_CLASS(matrix, basic)
41 matrix(unsigned r, unsigned c);
42 matrix(unsigned r, unsigned c, const exvector & m2);
44 // functions overriding virtual functions from bases classes
46 void print(std::ostream & os, unsigned upper_precedence=0) const;
47 void printraw(std::ostream & os) const;
48 unsigned nops() const;
51 ex expand(unsigned options=0) const;
52 bool has(const ex & other) const;
53 ex eval(int level=0) const;
54 ex evalf(int level=0) const;
55 // ex subs(const lst & ls, const lst & lr) const;
57 unsigned return_type(void) const { return return_types::noncommutative; };
58 // new virtual functions which can be overridden by derived classes
61 // non-virtual functions in this class
63 unsigned rows(void) const //! Get number of rows.
65 unsigned cols(void) const //! Get number of columns.
67 matrix add(const matrix & other) const;
68 matrix sub(const matrix & other) const;
69 matrix mul(const matrix & other) const;
70 const ex & operator() (unsigned ro, unsigned co) const;
71 matrix & set(unsigned ro, unsigned co, ex value);
72 matrix transpose(void) const;
73 ex determinant(unsigned algo = determinant_algo::automatic) const;
75 ex charpoly(const symbol & lambda) const;
76 matrix inverse(void) const;
77 matrix solve(const matrix & vars, const matrix & rhs,
78 unsigned algo = solve_algo::automatic) const;
80 ex determinant_minor(void) const;
81 int gauss_elimination(const bool det = false);
82 int division_free_elimination(const bool det = false);
83 int fraction_free_elimination(const bool det = false);
84 int pivot(unsigned ro, unsigned co, bool symbolic = true);
88 unsigned row; /**< number of rows */
89 unsigned col; /**< number of columns */
90 exvector m; /**< representation (cols indexed first) */
91 static unsigned precedence;
95 // wrapper functions around member functions
97 inline unsigned nops(const matrix & m)
100 inline ex expand(const matrix & m, unsigned options = 0)
101 { return m.expand(options); }
103 inline bool has(const matrix & m, const ex & other)
104 { return m.has(other); }
106 inline ex eval(const matrix & m, int level = 0)
107 { return m.eval(level); }
109 inline ex evalf(const matrix & m, int level = 0)
110 { return m.evalf(level); }
112 inline unsigned rows(const matrix & m)
115 inline unsigned cols(const matrix & m)
118 inline matrix transpose(const matrix & m)
119 { return m.transpose(); }
121 inline ex determinant(const matrix & m, unsigned options = determinant_algo::automatic)
122 { return m.determinant(options); }
124 inline ex trace(const matrix & m)
125 { return m.trace(); }
127 inline ex charpoly(const matrix & m, const symbol & lambda)
128 { return m.charpoly(lambda); }
130 inline matrix inverse(const matrix & m)
131 { return m.inverse(); }
134 inline const matrix &ex_to_matrix(const ex &e)
136 return static_cast<const matrix &>(*e.bp);
139 extern ex lst_to_matrix(const ex &l);
141 #ifndef NO_NAMESPACE_GINAC
143 #endif // ndef NO_NAMESPACE_GINAC
145 #endif // ndef __GINAC_MATRIX_H__