* Interface to symbolic matrices */
/*
- * GiNaC Copyright (C) 1999-2004 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2010 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#ifndef __GINAC_MATRIX_H__
-#define __GINAC_MATRIX_H__
+#ifndef GINAC_MATRIX_H
+#define GINAC_MATRIX_H
-#include <vector>
-#include <string>
#include "basic.h"
#include "ex.h"
+#include "archive.h"
-namespace GiNaC {
+#include <string>
+#include <vector>
+namespace GiNaC {
/** Helper template to allow initialization of matrices via an overloaded
* comma operator (idea stolen from Blitz++). */
ex scalar_mul_indexed(const ex & self, const numeric & other) const;
bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const;
ex conjugate() const;
+ ex real_part() const;
+ ex imag_part() const;
+ /** Save (a.k.a. serialize) object into archive. */
+ void archive(archive_node& n) const;
+ /** Read (a.k.a. deserialize) object from archive. */
+ void read_archive(const archive_node& n, lst& syms);
protected:
bool match_same_type(const basic & other) const;
unsigned return_type() const { return return_types::noncommutative; };
matrix solve(const matrix & vars, const matrix & rhs,
unsigned algo = solve_algo::automatic) const;
unsigned rank() const;
+ bool is_zero_matrix() const;
protected:
ex determinant_minor() const;
int gauss_elimination(const bool det = false);
unsigned col; ///< number of columns
exvector m; ///< representation (cols indexed first)
};
+GINAC_DECLARE_UNARCHIVER(matrix);
// wrapper functions around member functions
// utility functions
-/** Specialization of is_exactly_a<matrix>(obj) for matrix objects. */
-template<> inline bool is_exactly_a<matrix>(const basic & obj)
-{
- return obj.tinfo()==TINFO_matrix;
-}
-
/** Convert list of lists to matrix. */
extern ex lst_to_matrix(const lst & l);
* The base name for LaTeX output is specified separately. */
extern ex symbolic_matrix(unsigned r, unsigned c, const std::string & base_name, const std::string & tex_base_name);
+/** Return the reduced matrix that is formed by deleting the rth row and cth
+ * column of matrix m. The determinant of the result is the Minor r, c. */
+extern ex reduced_matrix(const matrix& m, unsigned r, unsigned c);
+
+/** Return the nr times nc submatrix starting at position r, c of matrix m. */
+extern ex sub_matrix(const matrix&m, unsigned r, unsigned nr, unsigned c, unsigned nc);
+
/** Create an r times c matrix of newly generated symbols consisting of the
* given base name plus the numeric row/column position of each element. */
inline ex symbolic_matrix(unsigned r, unsigned c, const std::string & base_name)
} // namespace GiNaC
-#endif // ndef __GINAC_MATRIX_H__
+#endif // ndef GINAC_MATRIX_H