X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=ginac%2Fmatrix.h;h=4dc2ee0584e1cad9c78fcf3752700093da75e305;hb=1d07d8ac9fb47c51aa19a84df6c8c5fee5dd5105;hp=08f99edea92015177dd14beaed3182ffb3ef9b3e;hpb=c8ba9c6cf819792cbf88d25b324406b67d5cc49a;p=ginac.git diff --git a/ginac/matrix.h b/ginac/matrix.h index 08f99ede..4dc2ee05 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" @@ -40,25 +41,23 @@ public: 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; 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 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: + bool match_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: @@ -71,8 +70,10 @@ public: matrix mul(const matrix & other) const; matrix mul(const numeric & other) const; matrix mul_scalar(const ex & other) const; + matrix pow(const ex & expn) const; const ex & operator() (unsigned ro, unsigned co) const; - matrix & set(unsigned ro, unsigned co, ex value); + 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; ex determinant(unsigned algo = determinant_algo::automatic) const; ex trace(void) const; @@ -131,9 +132,11 @@ 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(obj) for matrix objects. */ +template<> inline bool is_exactly_a(const basic & obj) { - return static_cast(*e.bp); + return obj.tinfo()==TINFO_matrix; } /** Convert list of lists to matrix. */ @@ -142,6 +145,23 @@ 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__