* Interface to symbolic matrices */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2001 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
#include "basic.h"
#include "ex.h"
-#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
/** Symbolic matrices. */
class matrix : public basic
{
- GINAC_DECLARE_REGISTERED_CLASS(matrix, basic)
-
-// friends
-// (none)
-// member functions
-
- // default constructor, destructor, copy constructor, assignment operator
- // and helpers:
-public:
- matrix();
- ~matrix();
- matrix(const matrix & other);
- const matrix & operator=(const matrix & other);
-protected:
- void copy(const matrix & other);
- void destroy(bool call_parent);
-
- // other constructors
+ GINAC_DECLARE_REGISTERED_CLASS(matrix, basic)
+
+ // other ctors
public:
- matrix(unsigned r, unsigned c);
- matrix(unsigned r, unsigned c, const exvector & m2);
-
- // functions overriding virtual functions from bases classes
+ matrix(unsigned r, unsigned c);
+ matrix(unsigned r, unsigned c, const exvector & m2);
+
+ // functions overriding virtual functions from bases classes
public:
- basic * duplicate() const;
- void print(ostream & os, unsigned upper_precedence=0) const;
- void printraw(ostream & os) const;
- unsigned nops() const;
- ex op(int i) const;
- ex & let_op(int i);
- ex expand(unsigned options=0) const;
- bool has(const ex & other) const;
- ex eval(int level=0) const;
- ex evalf(int level=0) const;
- // ex subs(const lst & ls, const lst & lr) const;
+ void print(std::ostream & os, unsigned upper_precedence=0) const;
+ void printraw(std::ostream & os) const;
+ unsigned nops() const;
+ ex op(int i) const;
+ ex & let_op(int i);
+ ex expand(unsigned options=0) const;
+ bool has(const ex & other) const;
+ ex eval(int level=0) const;
+ ex evalf(int level=0) const;
+ ex subs(const lst & ls, const lst & lr) const;
+ ex eval_indexed(const basic & i) const;
+ ex add_indexed(const ex & self, const ex & other) const;
+ bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const;
protected:
- int compare_same_type(const basic & other) const;
- unsigned return_type(void) const { return return_types::noncommutative; };
- // new virtual functions which can be overridden by derived classes
- // (none)
-
- // non-virtual functions in this class
+ unsigned return_type(void) const { return return_types::noncommutative; };
+ // new virtual functions which can be overridden by derived classes
+ // (none)
+
+ // non-virtual functions in this class
public:
- unsigned rows(void) const //! get number of rows.
- { return row; }
- unsigned cols(void) const //! get number of columns.
- { return col; }
- matrix add(const matrix & other) const;
- matrix sub(const matrix & other) const;
- matrix mul(const matrix & other) const;
- const ex & operator() (unsigned ro, unsigned co) const;
- matrix & set(unsigned ro, unsigned co, ex value);
- matrix transpose(void) const;
- ex determinant(void) const;
- ex trace(void) const;
- ex charpoly(const symbol & lambda) const;
- matrix inverse(void) const;
- matrix fraction_free_elim(const matrix & vars, const matrix & v) const;
- matrix solve(const matrix & vars, const matrix & rhs) const;
- matrix old_solve(const matrix & v) const; // FIXME: may be removed
+ unsigned rows(void) const /// Get number of rows.
+ { return row; }
+ unsigned cols(void) const /// Get number of columns.
+ { return col; }
+ matrix add(const matrix & other) const;
+ matrix sub(const matrix & other) const;
+ matrix mul(const matrix & other) const;
+ const ex & operator() (unsigned ro, unsigned co) const;
+ matrix & set(unsigned ro, unsigned co, ex value);
+ matrix transpose(void) const;
+ ex determinant(unsigned algo = determinant_algo::automatic) const;
+ ex trace(void) const;
+ ex charpoly(const symbol & lambda) const;
+ matrix inverse(void) const;
+ matrix solve(const matrix & vars, const matrix & rhs,
+ unsigned algo = solve_algo::automatic) const;
protected:
- ex determinant_numeric(void) const;
- ex determinant_minor(void) const;
- int gauss_elimination(void);
- int division_free_elimination(void);
- int fraction_free_elimination(bool det = false);
- int pivot(unsigned ro, bool symbolic=true);
-private: // FIXME: these should be obsoleted
- void ffe_swap(unsigned r1, unsigned c1, unsigned r2 ,unsigned c2);
- void ffe_set(unsigned r, unsigned c, ex e);
- ex ffe_get(unsigned r, unsigned c) const;
-
+ ex determinant_minor(void) 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);
+
// member variables
protected:
- unsigned row; /**< number of rows */
- unsigned col; /**< number of columns */
- exvector m; /**< representation (cols indexed first) */
- static unsigned precedence;
+ unsigned row; ///< number of rows
+ unsigned col; ///< number of columns
+ exvector m; ///< representation (cols indexed first)
+ static unsigned precedence;
};
-// global constants
-extern const matrix some_matrix;
-extern const type_info & typeid_matrix;
// wrapper functions around member functions
inline unsigned nops(const matrix & m)
{ return m.nops(); }
-inline ex expand(const matrix & m, unsigned options=0)
+inline ex expand(const matrix & m, unsigned options = 0)
{ return m.expand(options); }
inline bool has(const matrix & m, const ex & other)
{ return m.has(other); }
-inline ex eval(const matrix & m, int level=0)
+inline ex eval(const matrix & m, int level = 0)
{ return m.eval(level); }
-inline ex evalf(const matrix & m, int level=0)
+inline ex evalf(const matrix & m, int level = 0)
{ return m.evalf(level); }
inline unsigned rows(const matrix & m)
inline matrix transpose(const matrix & m)
{ return m.transpose(); }
-inline ex determinant(const matrix & m)
-{ return m.determinant(); }
+inline ex determinant(const matrix & m, unsigned options = determinant_algo::automatic)
+{ return m.determinant(options); }
inline ex trace(const matrix & m)
{ return m.trace(); }
extern ex lst_to_matrix(const ex &l);
-#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC
#endif // ndef __GINAC_MATRIX_H__
git://www.ginac.de / ginac.git / blobdiff