/** 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(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;
+ 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(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;
+ 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_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);
-
+ 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;
};