X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fmatrix.h;h=99c9abc4e4ada9abfa8f3e7f3309010be32d12dc;hp=592137423bf5b0b043c73f70052bc7f10d640a3a;hb=b598ffb2f5826258de9034a9ba29feea6f706d95;hpb=aa6281216091efd92dc5fcc3f96c7189114e80f1 diff --git a/ginac/matrix.h b/ginac/matrix.h index 59213742..99c9abc4 100644 --- a/ginac/matrix.h +++ b/ginac/matrix.h @@ -3,7 +3,7 @@ * 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 @@ -24,6 +24,7 @@ #define __GINAC_MATRIX_H__ #include +#include #include "basic.h" #include "ex.h" @@ -34,7 +35,7 @@ class matrix : public basic { GINAC_DECLARE_REGISTERED_CLASS(matrix, basic) - // other ctors + // other constructors public: matrix(unsigned r, unsigned c); matrix(unsigned r, unsigned c, const exvector & m2); @@ -42,13 +43,12 @@ public: // 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); + size_t nops() const; + ex op(size_t i) const; + ex & let_op(size_t i); ex eval(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; @@ -56,13 +56,13 @@ public: protected: bool match_same_type(const basic & other) const; - unsigned return_type(void) const { return return_types::noncommutative; }; + 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; @@ -73,19 +73,24 @@ public: 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 trace() const; ex charpoly(const symbol & lambda) const; - matrix inverse(void) 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: @@ -97,7 +102,7 @@ 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) @@ -132,13 +137,6 @@ inline matrix inverse(const matrix & m) // utility functions -/** Return the matrix object handled by an ex. Deprecated: use ex_to(). - * This is unsafe: you need to check the type first. */ -inline const matrix &ex_to_matrix(const ex &e) -{ - return static_cast(*e.bp); -} - /** Specialization of is_exactly_a(obj) for matrix objects. */ template<> inline bool is_exactly_a(const basic & obj) { @@ -151,6 +149,23 @@ extern ex lst_to_matrix(const lst & l); /** 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__