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
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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.
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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)
40 friend ex determinant_numeric(const matrix & m);
41 friend ex determinant_symbolic_perm(const matrix & m);
42 friend ex determinant_symbolic_minor(const matrix & m);
46 // default constructor, destructor, copy constructor, assignment operator
51 matrix(const matrix & other);
52 const matrix & operator=(const matrix & other);
54 void copy(const matrix & other);
55 void destroy(bool call_parent);
59 matrix(unsigned r, unsigned c);
60 matrix(unsigned r, unsigned c, const exvector & m2);
62 // functions overriding virtual functions from bases classes
64 basic * duplicate() const;
65 void print(ostream & os, unsigned upper_precedence=0) const;
66 void printraw(ostream & os) const;
67 unsigned nops() const;
70 ex expand(unsigned options=0) const;
71 bool has(const ex & other) const;
72 ex eval(int level=0) const;
73 ex evalf(int level=0) const;
74 // ex subs(const lst & ls, const lst & lr) const;
76 int compare_same_type(const basic & other) const;
77 unsigned return_type(void) const { return return_types::noncommutative; };
78 // new virtual functions which can be overridden by derived classes
81 // non-virtual functions in this class
83 unsigned rows() const //! get number of rows.
85 unsigned cols() const //! get number of columns.
87 matrix add(const matrix & other) const;
88 matrix sub(const matrix & other) const;
89 matrix mul(const matrix & other) const;
90 const ex & operator() (unsigned ro, unsigned co) const;
91 matrix & set(unsigned ro, unsigned co, ex value);
92 matrix transpose(void) const;
93 ex determinant(bool normalized=true) const;
95 ex charpoly(const ex & lambda) const;
96 matrix inverse(void) const;
97 matrix fraction_free_elim(const matrix & vars, const matrix & v) const;
98 matrix solve(const matrix & v) const;
100 int pivot(unsigned ro);
101 void ffe_swap(unsigned r1, unsigned c1, unsigned r2 ,unsigned c2);
102 void ffe_set(unsigned r, unsigned c, ex e);
103 ex ffe_get(unsigned r, unsigned c) const;
107 unsigned row; /**< number of rows */
108 unsigned col; /**< number of columns */
109 exvector m; /**< representation (cols indexed first) */
110 static unsigned precedence;
114 extern const matrix some_matrix;
115 extern const 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, bool normalized=true)
144 { return m.determinant(normalized); }
146 inline ex trace(const matrix & m)
147 { return m.trace(); }
149 inline ex charpoly(const matrix & m, const ex & 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 #ifndef NO_NAMESPACE_GINAC
163 #endif // ndef NO_NAMESPACE_GINAC
165 #endif // ndef __GINAC_MATRIX_H__