/** Symbolic matrices. */
class matrix : public basic
{
- GINAC_DECLARE_REGISTERED_CLASS(matrix, basic)
+ GINAC_DECLARE_REGISTERED_CLASS(matrix, basic)
// friends
// (none)
// member functions
- // default constructor, destructor, copy constructor, assignment operator
- // and helpers:
+ // default constructor, destructor, copy constructor, assignment operator
+ // and helpers:
public:
- matrix();
- ~matrix();
- matrix(const matrix & other);
- const matrix & operator=(const matrix & other);
+ matrix();
+ ~matrix();
+ matrix(const matrix & other);
+ const matrix & operator=(const matrix & other);
protected:
- void copy(const matrix & other);
- void destroy(bool call_parent);
+ void copy(const matrix & other);
+ void destroy(bool call_parent);
- // other constructors
+ // other constructors
public:
- matrix(unsigned r, unsigned c);
- matrix(unsigned r, unsigned c, const exvector & m2);
+ matrix(unsigned r, unsigned c);
+ matrix(unsigned r, unsigned c, const exvector & m2);
- // functions overriding virtual functions from bases classes
+ // 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;
+ basic * duplicate() 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;
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
+ 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
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 ex & 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_symbolic_minor(void) const;
- ex determinant_symbolic_perm(void) const;
- int gauss_elimination(void);
- int fraction_free_elimination(void);
- 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;
+extern const std::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(); }
-inline ex charpoly(const matrix & m, const ex & lambda)
+inline ex charpoly(const matrix & m, const symbol & lambda)
{ return m.charpoly(lambda); }
inline matrix inverse(const matrix & m)
return static_cast<const matrix &>(*e.bp);
}
+extern ex lst_to_matrix(const ex &l);
+
#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
#endif // ndef NO_NAMESPACE_GINAC
git://www.ginac.de / ginac.git / blobdiff