* Interface to symbolic matrices */
/*
- * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2003 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
#define __GINAC_MATRIX_H__
#include <vector>
+#include <string>
#include "basic.h"
#include "ex.h"
{
GINAC_DECLARE_REGISTERED_CLASS(matrix, basic)
- // other ctors
+ // other constructors
public:
matrix(unsigned r, unsigned c);
matrix(unsigned r, unsigned c, const exvector & m2);
matrix(unsigned r, unsigned c, const lst & l);
- // functions overriding virtual functions from bases classes
+ // functions overriding virtual functions from base classes
public:
- void print(const print_context & c, unsigned level = 0) const;
- unsigned nops() const;
- ex op(int i) const;
- ex & let_op(int i);
- ex expand(unsigned options=0) const;
+ size_t nops() const;
+ ex op(size_t i) const;
+ ex & let_op(size_t i);
ex eval(int level=0) const;
- ex evalf(int level=0) const;
- ex evalm(void) const {return *this;}
- ex subs(const lst & ls, const lst & lr, bool no_pattern = false) const;
+ ex evalm() const {return *this;}
+ ex subs(const exmap & m, unsigned options = 0) const;
ex eval_indexed(const basic & i) const;
ex add_indexed(const ex & self, const ex & other) const;
ex scalar_mul_indexed(const ex & self, const numeric & other) const;
bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const;
+
protected:
- unsigned return_type(void) const { return return_types::noncommutative; };
- // new virtual functions which can be overridden by derived classes
- // (none)
+ bool match_same_type(const basic & other) const;
+ unsigned return_type() const { return return_types::noncommutative; };
// non-virtual functions in this class
public:
- unsigned rows(void) const /// Get number of rows.
+ unsigned rows() const /// Get number of rows.
{ return row; }
- unsigned cols(void) const /// Get number of columns.
+ unsigned cols() const /// Get number of columns.
{ return col; }
matrix add(const matrix & other) const;
matrix sub(const matrix & other) const;
const ex & operator() (unsigned ro, unsigned co) const;
ex & operator() (unsigned ro, unsigned co);
matrix & set(unsigned ro, unsigned co, const ex & value) { (*this)(ro, co) = value; return *this; }
- matrix transpose(void) const;
+ matrix transpose() const;
ex determinant(unsigned algo = determinant_algo::automatic) const;
- ex trace(void) const;
- ex charpoly(const symbol & lambda) const;
- matrix inverse(void) const;
+ ex trace() const;
+ ex charpoly(const ex & lambda) const;
+ matrix inverse() const;
matrix solve(const matrix & vars, const matrix & rhs,
unsigned algo = solve_algo::automatic) const;
protected:
- ex determinant_minor(void) const;
+ ex determinant_minor() const;
int gauss_elimination(const bool det = false);
int division_free_elimination(const bool det = false);
int fraction_free_elimination(const bool det = false);
int pivot(unsigned ro, unsigned co, bool symbolic = true);
+
+ void print_elements(const print_context & c, const char *row_start, const char *row_end, const char *row_sep, const char *col_sep) const;
+ void do_print(const print_context & c, unsigned level) const;
+ void do_print_latex(const print_latex & c, unsigned level) const;
+ void do_print_python_repr(const print_python_repr & c, unsigned level) const;
// member variables
protected:
// wrapper functions around member functions
-inline unsigned nops(const matrix & m)
+inline size_t nops(const matrix & m)
{ return m.nops(); }
inline ex expand(const matrix & m, unsigned options = 0)
inline ex trace(const matrix & m)
{ return m.trace(); }
-inline ex charpoly(const matrix & m, const symbol & lambda)
+inline ex charpoly(const matrix & m, const ex & lambda)
{ return m.charpoly(lambda); }
inline matrix inverse(const matrix & m)
{ return m.inverse(); }
// utility functions
-inline const matrix &ex_to_matrix(const ex &e)
+
+/** Specialization of is_exactly_a<matrix>(obj) for matrix objects. */
+template<> inline bool is_exactly_a<matrix>(const basic & obj)
{
- return static_cast<const matrix &>(*e.bp);
+ return obj.tinfo()==TINFO_matrix;
}
/** Convert list of lists to matrix. */
/** Convert list of diagonal elements to matrix. */
extern ex diag_matrix(const lst & l);
+/** Create an r times c unit matrix. */
+extern ex unit_matrix(unsigned r, unsigned c);
+
+/** Create a x times x unit matrix. */
+inline ex unit_matrix(unsigned x)
+{ return unit_matrix(x, x); }
+
+/** 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.
+ * 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);
+
+/** 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)
+{ return symbolic_matrix(r, c, base_name, base_name); }
+
} // namespace GiNaC
#endif // ndef __GINAC_MATRIX_H__
git://www.ginac.de / ginac.git / blobdiff