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
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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
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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)
43 // default constructor, destructor, copy constructor, assignment operator
48 matrix(const matrix & other);
49 const matrix & operator=(const matrix & other);
51 void copy(const matrix & other);
52 void destroy(bool call_parent);
56 matrix(unsigned r, unsigned c);
57 matrix(unsigned r, unsigned c, const exvector & m2);
59 // functions overriding virtual functions from bases classes
61 basic * duplicate() const;
62 void print(std::ostream & os, unsigned upper_precedence=0) const;
63 void printraw(std::ostream & os) const;
64 unsigned nops() const;
67 ex expand(unsigned options=0) const;
68 bool has(const ex & other) const;
69 ex eval(int level=0) const;
70 ex evalf(int level=0) const;
71 // ex subs(const lst & ls, const lst & lr) const;
73 int compare_same_type(const basic & other) const;
74 unsigned return_type(void) const { return return_types::noncommutative; };
75 // new virtual functions which can be overridden by derived classes
78 // non-virtual functions in this class
80 unsigned rows(void) const //! Get number of rows.
82 unsigned cols(void) const //! Get number of columns.
84 matrix add(const matrix & other) const;
85 matrix sub(const matrix & other) const;
86 matrix mul(const matrix & other) const;
87 const ex & operator() (unsigned ro, unsigned co) const;
88 matrix & set(unsigned ro, unsigned co, ex value);
89 matrix transpose(void) const;
90 ex determinant(unsigned algo = determinant_algo::automatic) const;
92 ex charpoly(const symbol & lambda) const;
93 matrix inverse(void) const;
94 matrix solve(const matrix & vars, const matrix & rhs,
95 unsigned algo = solve_algo::automatic) const;
97 ex determinant_minor(void) const;
98 int gauss_elimination(const bool det = false);
99 int division_free_elimination(const bool det = false);
100 int fraction_free_elimination(const bool det = false);
101 int pivot(unsigned ro, unsigned co, bool symbolic = true);
105 unsigned row; /**< number of rows */
106 unsigned col; /**< number of columns */
107 exvector m; /**< representation (cols indexed first) */
108 static unsigned precedence;
113 extern const matrix some_matrix;
114 extern const std::type_info & typeid_matrix;
117 // wrapper functions around member functions
119 inline unsigned nops(const matrix & m)
122 inline ex expand(const matrix & m, unsigned options = 0)
123 { return m.expand(options); }
125 inline bool has(const matrix & m, const ex & other)
126 { return m.has(other); }
128 inline ex eval(const matrix & m, int level = 0)
129 { return m.eval(level); }
131 inline ex evalf(const matrix & m, int level = 0)
132 { return m.evalf(level); }
134 inline unsigned rows(const matrix & m)
137 inline unsigned cols(const matrix & m)
140 inline matrix transpose(const matrix & m)
141 { return m.transpose(); }
143 inline ex determinant(const matrix & m, unsigned options = determinant_algo::automatic)
144 { return m.determinant(options); }
146 inline ex trace(const matrix & m)
147 { return m.trace(); }
149 inline ex charpoly(const matrix & m, const symbol & lambda)
150 { return m.charpoly(lambda); }
152 inline matrix inverse(const matrix & m)
153 { return m.inverse(); }
156 inline const matrix &ex_to_matrix(const ex &e)
158 return static_cast<const matrix &>(*e.bp);
161 extern ex lst_to_matrix(const ex &l);
163 #ifndef NO_NAMESPACE_GINAC
165 #endif // ndef NO_NAMESPACE_GINAC
167 #endif // ndef __GINAC_MATRIX_H__