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/** @file idx.h
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*
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* Interface to GiNaC's indices.
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*
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* GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*/
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#ifndef __GINAC_IDX_H__
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#define __GINAC_IDX_H__
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#include <string>
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#include <vector>
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class idx : public basic
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{
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// member functions
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// default constructor, destructor, copy constructor assignment operator and helpers
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public:
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idx();
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~idx();
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idx (idx const & other);
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idx const & operator=(idx const & other);
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protected:
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void copy(idx const & other);
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void destroy(bool call_parent);
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// other constructors
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public:
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explicit idx(bool cov);
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explicit idx(string const & n, bool cov=false);
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explicit idx(char const * n, bool cov=false);
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explicit idx(unsigned const v, bool cov=false);
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// functions overriding virtual functions from bases classes
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public:
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basic * duplicate() const;
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void printraw(ostream & os) const;
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void printtree(ostream & os, unsigned indent) const;
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void print(ostream & os, unsigned upper_precedence=0) const;
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bool info(unsigned inf) const;
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protected:
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int compare_same_type(basic const & other) const;
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bool is_equal_same_type(basic const & other) const;
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unsigned calchash(void) const;
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ex subs(lst const & ls, lst const & lr) const;
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// new virtual functions which can be overridden by derived classes
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public:
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virtual bool is_co_contra_pair(basic const & other) const;
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virtual ex toggle_covariant(void) const;
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// non-virtual functions in this class
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public:
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bool is_symbolic(void) const;
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unsigned get_value(void) const;
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bool is_covariant(void) const;
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// member variables
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protected:
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unsigned serial;
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bool symbolic;
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string name;
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unsigned value;
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static unsigned next_serial;
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bool covariant; // x_mu, default is contravariant: x^mu
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};
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// global constants
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extern const idx some_idx;
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extern type_info const & typeid_idx;
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// macros
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#define ex_to_idx(X) (static_cast<idx const &>(*(X).bp))
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// other functions
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typedef vector<ex> exvector;
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int canonicalize_indices(exvector & iv, bool antisymmetric=false);
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exvector idx_intersect(exvector const & iv1, exvector const & iv2);
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ex permute_free_index_to_front(exvector const & iv3, exvector const & iv2,
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bool antisymmetric, int * sig);
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unsigned subs_index_in_exvector(exvector & v, ex const & is, ex const & ir);
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ex subs_indices(ex const & e, exvector const & idxv_contra,
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exvector const & idxv_co);
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unsigned count_index(ex const & e, ex const & i);
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#endif // ndef __GINAC_IDX_H__
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