* Interface to symbolic matrices */
/*
- * GiNaC Copyright (C) 1999-2004 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2007 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__
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;
protected:
bool match_same_type(const basic & other) const;
matrix inverse() const;
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);
inline matrix inverse(const matrix & m)
{ return m.inverse(); }
-// utility functions
+inline unsigned rank(const matrix & m)
+{ return m.rank(); }
-/** 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;
-}
+// utility functions
/** 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)