| 1 |
cbauer |
1.1 |
/** @file idx.h
|
| 2 |
|
|
*
|
| 3 |
cbauer |
1.2 |
* Interface to GiNaC's indices.
|
| 4 |
|
|
*
|
| 5 |
|
|
* GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
|
| 6 |
|
|
*
|
| 7 |
|
|
* This program is free software; you can redistribute it and/or modify
|
| 8 |
|
|
* it under the terms of the GNU General Public License as published by
|
| 9 |
|
|
* the Free Software Foundation; either version 2 of the License, or
|
| 10 |
|
|
* (at your option) any later version.
|
| 11 |
|
|
*
|
| 12 |
|
|
* This program is distributed in the hope that it will be useful,
|
| 13 |
|
|
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
| 14 |
|
|
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
| 15 |
|
|
* GNU General Public License for more details.
|
| 16 |
|
|
*
|
| 17 |
|
|
* You should have received a copy of the GNU General Public License
|
| 18 |
|
|
* along with this program; if not, write to the Free Software
|
| 19 |
|
|
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
|
| 20 |
|
|
*/
|
| 21 |
cbauer |
1.1 |
|
| 22 |
cbauer |
1.2 |
#ifndef __GINAC_IDX_H__
|
| 23 |
|
|
#define __GINAC_IDX_H__
|
| 24 |
cbauer |
1.1 |
|
| 25 |
|
|
#include <string>
|
| 26 |
|
|
#include <vector>
|
| 27 |
|
|
|
| 28 |
|
|
class idx : public basic
|
| 29 |
|
|
{
|
| 30 |
|
|
// member functions
|
| 31 |
|
|
|
| 32 |
|
|
// default constructor, destructor, copy constructor assignment operator and helpers
|
| 33 |
|
|
public:
|
| 34 |
|
|
idx();
|
| 35 |
|
|
~idx();
|
| 36 |
|
|
idx (idx const & other);
|
| 37 |
|
|
idx const & operator=(idx const & other);
|
| 38 |
|
|
protected:
|
| 39 |
|
|
void copy(idx const & other);
|
| 40 |
|
|
void destroy(bool call_parent);
|
| 41 |
|
|
|
| 42 |
|
|
// other constructors
|
| 43 |
|
|
public:
|
| 44 |
|
|
explicit idx(bool cov);
|
| 45 |
|
|
explicit idx(string const & n, bool cov=false);
|
| 46 |
|
|
explicit idx(char const * n, bool cov=false);
|
| 47 |
|
|
explicit idx(unsigned const v, bool cov=false);
|
| 48 |
|
|
|
| 49 |
|
|
// functions overriding virtual functions from bases classes
|
| 50 |
|
|
public:
|
| 51 |
|
|
basic * duplicate() const;
|
| 52 |
|
|
void printraw(ostream & os) const;
|
| 53 |
|
|
void printtree(ostream & os, unsigned indent) const;
|
| 54 |
|
|
void print(ostream & os, unsigned upper_precedence=0) const;
|
| 55 |
|
|
bool info(unsigned inf) const;
|
| 56 |
|
|
protected:
|
| 57 |
|
|
int compare_same_type(basic const & other) const;
|
| 58 |
|
|
bool is_equal_same_type(basic const & other) const;
|
| 59 |
|
|
unsigned calchash(void) const;
|
| 60 |
|
|
ex subs(lst const & ls, lst const & lr) const;
|
| 61 |
|
|
|
| 62 |
|
|
// new virtual functions which can be overridden by derived classes
|
| 63 |
|
|
public:
|
| 64 |
|
|
virtual bool is_co_contra_pair(basic const & other) const;
|
| 65 |
|
|
virtual ex toggle_covariant(void) const;
|
| 66 |
|
|
|
| 67 |
|
|
// non-virtual functions in this class
|
| 68 |
|
|
public:
|
| 69 |
|
|
bool is_symbolic(void) const;
|
| 70 |
|
|
unsigned get_value(void) const;
|
| 71 |
|
|
bool is_covariant(void) const;
|
| 72 |
|
|
|
| 73 |
|
|
// member variables
|
| 74 |
|
|
protected:
|
| 75 |
|
|
unsigned serial;
|
| 76 |
|
|
bool symbolic;
|
| 77 |
|
|
string name;
|
| 78 |
|
|
unsigned value;
|
| 79 |
|
|
static unsigned next_serial;
|
| 80 |
|
|
bool covariant; // x_mu, default is contravariant: x^mu
|
| 81 |
|
|
};
|
| 82 |
|
|
|
| 83 |
|
|
// global constants
|
| 84 |
|
|
|
| 85 |
|
|
extern const idx some_idx;
|
| 86 |
|
|
extern type_info const & typeid_idx;
|
| 87 |
|
|
|
| 88 |
|
|
// macros
|
| 89 |
|
|
|
| 90 |
|
|
#define ex_to_idx(X) (static_cast<idx const &>(*(X).bp))
|
| 91 |
|
|
|
| 92 |
|
|
// other functions
|
| 93 |
|
|
|
| 94 |
|
|
typedef vector<ex> exvector;
|
| 95 |
|
|
|
| 96 |
|
|
int canonicalize_indices(exvector & iv, bool antisymmetric=false);
|
| 97 |
|
|
exvector idx_intersect(exvector const & iv1, exvector const & iv2);
|
| 98 |
|
|
ex permute_free_index_to_front(exvector const & iv3, exvector const & iv2,
|
| 99 |
|
|
bool antisymmetric, int * sig);
|
| 100 |
|
|
unsigned subs_index_in_exvector(exvector & v, ex const & is, ex const & ir);
|
| 101 |
|
|
ex subs_indices(ex const & e, exvector const & idxv_contra,
|
| 102 |
|
|
exvector const & idxv_co);
|
| 103 |
|
|
unsigned count_index(ex const & e, ex const & i);
|
| 104 |
|
|
|
| 105 |
cbauer |
1.2 |
#endif // ndef __GINAC_IDX_H__
|
Parent Directory
| 
Revision Log