fixed typos

[ginac.git] / ginac / color.h

diff --git a/ginac/color.h b/ginac/color.h
index 3237359ed72257df50dd421971e2296964eb75d7..2086909e1304dd1c7a35ac9e53c658263150348c 100644 (file)
--- a/ginac/color.h
+++ b/ginac/color.h
@@ -1,143 +1,182 @@
 /** @file color.h
  *
 /** @file color.h
  *

- *  Interface to GiNaC's color objects. */
+ *  Interface to GiNaC's color (SU(3) Lie algebra) objects. */

 
 

-#ifndef _COLOR_H_
-#define _COLOR_H_
-
-#include <string>
-#include <vector>
+/*
+ *  GiNaC Copyright (C) 1999-2004 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
+ *  the Free Software Foundation; either version 2 of the License, or
+ *  (at your option) any later version.
+ *
+ *  This program is distributed in the hope that it will be useful,
+ *  but WITHOUT ANY WARRANTY; without even the implied warranty of
+ *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ *  GNU General Public License for more details.
+ *
+ *  You should have received a copy of the GNU General Public License
+ *  along with this program; if not, write to the Free Software
+ *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
+ */

 
 

-class color;
+#ifndef __GINAC_COLOR_H__
+#define __GINAC_COLOR_H__

 
 #include "indexed.h"
 
 #include "indexed.h"

+#include "tensor.h"
+
+namespace GiNaC {

 
 

-#define MAX_REPRESENTATION_LABELS 4
-#define COLOR_EIGHT 8 // N*N-1
-#define COLOR_THREE 3 // N

 
 

-/** Base class for color object */
+/** This class holds a generator T_a or the unity element of the Lie algebra
+ *  of SU(3), as used for calculations in quantum chromodynamics. A
+ *  representation label (an unsigned 8-bit integer) is used to distinguish
+ *  elements from different Lie algebras (objects with different labels
+ *  commutate). These objects implement an abstract representation of the
+ *  group, not a specific matrix representation. The indices used for color
+ *  objects should not have a variance. */

 class color : public indexed
 {
 class color : public indexed
 {

-// friends
-
-    friend color color_ONE(unsigned const rl);
-    friend color color_T(ex const & a, unsigned const rl);
-    friend color color_f(ex const & a, ex const & b, ex const & c);
-    friend color color_d(ex const & a, ex const & b, ex const & c);
-    friend ex color_h(ex const & a, ex const & b, ex const & c);
-    friend color color_delta8(ex const & a, ex const & b);
-    friend unsigned subs_index_in_exvector(exvector & v, ex const & is, ex const & ir);
-    friend void split_color_string_in_parts(exvector const & v, exvector & delta8vec,
-                                            exvector & fvec, exvector & dvec,
-                                            vector<exvector> & Tvecs,
-                                            vector<exvector> & ONEvecs,
-                                            exvector & unknownvec);
-    friend exvector recombine_color_string(exvector & delta8vec, exvector & fvec,
-                                           exvector & dvec, vector<exvector> & Tvecs,
-                                           vector<exvector> & ONEvecs, exvector & unknownvec);
-    friend ex color_trace_of_one_representation_label(exvector const & v);
-    friend ex color_trace(exvector const & v, unsigned const rl);
-    friend ex simplify_pure_color_string(ex const & e);
-    friend ex simplify_color(ex const & e);
-
-    
-// types
+       GINAC_DECLARE_REGISTERED_CLASS(color, indexed)

 
 

+       // other constructors

 public:
 public:

-    typedef enum { invalid, // not properly constructed by one of the friend functions
-                   color_T,
-                   color_f,
-                   color_d,
-                   color_delta8,
-                   color_ONE
-    } color_types;
-    
-// member functions
-
-    // default constructor, destructor, copy constructor assignment operator and helpers
-public:
-    color();
-    ~color();
-    color(color const & other);
-    color const & operator=(color const & other);
+       color(const ex & b, unsigned char rl = 0);
+       color(const ex & b, const ex & i1, unsigned char rl = 0);
+
+       // internal constructors
+       color(unsigned char rl, const exvector & v, bool discardable = false);
+       color(unsigned char rl, std::auto_ptr<exvector> vp);
+
+       // functions overriding virtual functions from base classes

 protected:
 protected:

-    void copy(color const & other); 
-    void destroy(bool call_parent);
+       ex eval_ncmul(const exvector & v) const;
+       bool match_same_type(const basic & other) const;
+       ex thiscontainer(const exvector & v) const;
+       ex thiscontainer(std::auto_ptr<exvector> vp) const;
+       unsigned return_type() const { return return_types::noncommutative; }
+       unsigned return_type_tinfo() const { return TINFO_color + representation_label; }
+
+       // non-virtual functions in this class
+public:
+       unsigned char get_representation_label() const {return representation_label;}

 
 

-    // other constructors
+       // member variables
+private:
+       unsigned char representation_label; /**< Representation label to distinguish independent color matrices coming from separated fermion lines */
+};
+
+
+/** This class represents the su(3) unity element. */
+class su3one : public tensor
+{
+       GINAC_DECLARE_REGISTERED_CLASS(su3one, tensor)
+
+       // non-virtual functions in this class

 protected:
 protected:

-    color(color_types const t, unsigned const rl=0);
-    color(color_types const t, ex const & i1, unsigned const rl=0);
-    color(color_types const t, ex const & i1, ex const & i2, unsigned const rl=0);
-    color(color_types const t, ex const & i1, ex const & i2, ex const & i3,
-          unsigned const rl=0);
-    color(color_types const t, exvector const & iv, unsigned const rl=0);
-    color(color_types const t, exvector * ivp, unsigned const rl=0);
-    
-    // functions overriding virtual functions from base classes
+       void do_print(const print_context & c, unsigned level) const;
+       void do_print_latex(const print_latex & c, unsigned level) const;
+};
+
+/** This class represents an su(3) generator. */
+class su3t : public tensor
+{
+       GINAC_DECLARE_REGISTERED_CLASS(su3t, tensor)
+
+       // functions overriding virtual functions from base classes

 public:
 public:

-    basic * duplicate() const;
-    void printraw(ostream & os) const;
-    void printtree(ostream & os, unsigned indent) const;
-    void print(ostream & os, unsigned upper_precedence=0) const;
-    void printcsrc(ostream & os, unsigned type, unsigned upper_precedence=0) const;
-    bool info(unsigned inf) const;
-    ex eval(int level=0) const;
+       bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const;
+
+       // non-virtual functions in this class

 protected:
 protected:

-    int compare_same_type(basic const & other) const;
-    bool is_equal_same_type(basic const & other) const;
-    ex simplify_ncmul(exvector const & v) const;
-    ex thisexprseq(exvector const & v) const;
-    ex thisexprseq(exvector * vp) const;
-
-    // new virtual functions which can be overridden by derived classes
-    // none
-    
-    // non-virtual functions in this class
+       void do_print(const print_context & c, unsigned level) const;
+       void do_print_latex(const print_latex & c, unsigned level) const;
+};
+
+/** This class represents the tensor of antisymmetric su(3) structure
+ *  constants. */
+class su3f : public tensor
+{
+       GINAC_DECLARE_REGISTERED_CLASS(su3f, tensor)
+
+       // functions overriding virtual functions from base classes
+public:
+       ex eval_indexed(const basic & i) const;
+       bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const;
+
+       // non-virtual functions in this class

 protected:
 protected:

-    bool all_of_type_coloridx(void) const;
-    
-// member variables
+       void do_print(const print_context & c, unsigned level) const;
+       void do_print_latex(const print_latex & c, unsigned level) const;
+};

 
 

+/** This class represents the tensor of symmetric su(3) structure constants. */
+class su3d : public tensor
+{
+       GINAC_DECLARE_REGISTERED_CLASS(su3d, tensor)
+
+       // functions overriding virtual functions from base classes
+public:
+       ex eval_indexed(const basic & i) const;
+       bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const;
+
+       // non-virtual functions in this class

 protected:
 protected:

-    color_types type;
-    unsigned representation_label; // to distiguish independent color matrices coming from separated fermion lines
+       void do_print(const print_context & c, unsigned level) const;
+       void do_print_latex(const print_latex & c, unsigned level) const;

 };
 
 };
 

-// global constants

 
 

-extern const color some_color;
-extern type_info const & typeid_color;
+// global functions

 
 

-// macros
+/** Specialization of is_exactly_a<color>(obj) for color objects. */
+template<> inline bool is_exactly_a<color>(const basic & obj)
+{
+       return obj.tinfo()==TINFO_color;
+}

 
 

-#define ex_to_color(X) static_cast<color const &>(*(X).bp)
-#define ex_to_nonconst_color(X) static_cast<color &>(*(X).bp)
+/** Create the su(3) unity element. This is an indexed object, although it
+ *  has no indices.
+ *
+ *  @param rl Representation label
+ *  @return newly constructed unity element */
+ex color_ONE(unsigned char rl = 0);

 
 

-color color_ONE(unsigned const rl=0);
-color color_T(ex const & a, unsigned const rl=0);
-color color_f(ex const & a, ex const & b, ex const & c);
-color color_d(ex const & a, ex const & b, ex const & c);
-ex color_h(ex const & a, ex const & b, ex const & c);
-color color_delta8(ex const & a, ex const & b);
-void split_color_string_in_parts(exvector const & v, exvector & delta8vec,
-                                 exvector & fvec, exvector & dvec,
-                                 vector<exvector> & Tvecs,
-                                 vector<exvector> & ONEvecs,
-                                 exvector & unknownvec);
-exvector recombine_color_string(exvector & delta8vec, exvector & fvec,
-                                exvector & dvec, vector<exvector> & Tvecs,
-                                vector<exvector> & ONEvecs, exvector & unknownvec);
-ex color_trace_of_one_representation_label(exvector const & v);
-ex color_trace(exvector const & v, unsigned const rl=0);
-ex simplify_pure_color_string(ex const & e);
-ex simplify_color(ex const & e);
+/** Create an su(3) generator.
+ *
+ *  @param a Index
+ *  @param rl Representation label
+ *  @return newly constructed unity generator */
+ex color_T(const ex & a, unsigned char rl = 0);

 
 

-ex brute_force_sum_color_indices(ex const & e);
+/** Create an su(3) antisymmetric structure constant.
+ *
+ *  @param a First index
+ *  @param b Second index
+ *  @param c Third index
+ *  @return newly constructed structure constant */
+ex color_f(const ex & a, const ex & b, const ex & c);

 
 

-void append_exvector_to_exvector(exvector & dest, exvector const & source);
+/** Create an su(3) symmetric structure constant.
+ *
+ *  @param a First index
+ *  @param b Second index
+ *  @param c Third index
+ *  @return newly constructed structure constant */
+ex color_d(const ex & a, const ex & b, const ex & c);
+
+/** This returns the linear combination d.a.b.c+I*f.a.b.c. */
+ex color_h(const ex & a, const ex & b, const ex & c);
+
+/** Calculate the trace of an expression containing color objects with a
+ *  specified representation label.
+ *
+ *  @param e Expression to take the trace of
+ *  @param rl Representation label */
+ex color_trace(const ex & e, unsigned char rl = 0);

 
 

-#endif // ndef _COLOR_H_

 
 

+} // namespace GiNaC

 
 

+#endif // ndef __GINAC_COLOR_H__