3 * Interface to GiNaC's color objects. */
6 * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
8 * This program is free software; you can redistribute it and/or modify
9 * it under the terms of the GNU General Public License as published by
10 * the Free Software Foundation; either version 2 of the License, or
11 * (at your option) any later version.
13 * This program is distributed in the hope that it will be useful,
14 * but WITHOUT ANY WARRANTY; without even the implied warranty of
15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 * GNU General Public License for more details.
18 * You should have received a copy of the GNU General Public License
19 * along with this program; if not, write to the Free Software
20 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
23 #ifndef __GINAC_COLOR_H__
24 #define __GINAC_COLOR_H__
33 const unsigned MAX_REPRESENTATION_LABELS = 4;
34 const unsigned COLOR_EIGHT = 8; // N*N-1
35 const unsigned COLOR_THREE = 3; // N
37 // Cint doesn't like vector<..,default_alloc> but malloc_alloc is
38 // unstandardized and not supported by newer GCCs.
39 #if defined(__GNUC__) && ((__GNUC__ == 2) && (__GNUC_MINOR__ < 97))
40 typedef std::vector<exvector,malloc_alloc> exvectorvector;
42 typedef std::vector<exvector> exvectorvector;
46 /** This class holds an object carrying color indices (of class coloridx).
47 * It can represent the generators T_a and structure constants f_abc/d_abc
48 * of SU(3), the unity element ONE of the Lie algebra of SU(3), or the
49 * unity matrix delta8. Together, these objects are used to implement the
50 * Lie algebra su(3), as required for calculations in quantum
51 * chromodynamics. A representation label (an unsigned integer) is used to
52 * distinguish elements from different Lie algebras (only objects with the
53 * same representation label "interact" with each other). */
54 class color : public indexed
56 GINAC_DECLARE_REGISTERED_CLASS(color, indexed)
60 friend color color_ONE(unsigned rl);
61 friend color color_T(const ex & a, unsigned rl);
62 friend color color_f(const ex & a, const ex & b, const ex & c);
63 friend color color_d(const ex & a, const ex & b, const ex & c);
64 friend ex color_h(const ex & a, const ex & b, const ex & c);
65 friend color color_delta8(const ex & a, const ex & b);
66 friend unsigned subs_index_in_exvector(exvector & v, const ex & is, const ex & ir);
67 friend void split_color_string_in_parts(const exvector & v, exvector & delta8vec,
68 exvector & fvec, exvector & dvec,
69 exvectorvector & Tvecs,
70 exvectorvector & ONEvecs,
71 exvector & unknownvec);
72 friend exvector recombine_color_string(exvector & delta8vec, exvector & fvec,
73 exvector & dvec, exvectorvector & Tvecs,
74 exvectorvector & ONEvecs, exvector & unknownvec);
75 friend ex color_trace_of_one_representation_label(const exvector & v);
76 friend ex color_trace(const exvector & v, unsigned rl);
77 friend ex simplify_pure_color_string(const ex & e);
78 friend ex simplify_color(const ex & e);
85 invalid, /**< not properly constructed */
86 color_T, /**< one of the generators T_a of SU(3) (these are non-commutative) */
87 color_f, /**< one of the antisymmetric structure constants f_abc of SU(3) */
88 color_d, /**< one of the symmetric structure constants d_abc of SU(3) */
89 color_delta8, /**< the unity matrix */
90 color_ONE /**< the unity element of su(3) */
97 color(color_types const t, unsigned rl=0);
98 color(color_types const t, const ex & i1, unsigned rl=0);
99 color(color_types const t, const ex & i1, const ex & i2, unsigned rl=0);
100 color(color_types const t, const ex & i1, const ex & i2, const ex & i3,
102 color(color_types const t, const exvector & iv, unsigned rl=0);
103 color(color_types const t, exvector * ivp, unsigned rl=0);
105 // functions overriding virtual functions from base classes
107 void printraw(std::ostream & os) const;
108 void printtree(std::ostream & os, unsigned indent) const;
109 void print(std::ostream & os, unsigned upper_precedence=0) const;
110 bool info(unsigned inf) const;
111 ex eval(int level=0) const;
113 bool is_equal_same_type(const basic & other) const;
114 ex simplify_ncmul(const exvector & v) const;
115 ex thisexprseq(const exvector & v) const;
116 ex thisexprseq(exvector * vp) const;
118 // new virtual functions which can be overridden by derived classes
121 // non-virtual functions in this class
123 bool all_of_type_coloridx(void) const;
128 color_types type; /**< Type of object (generator, structure constant etc.) */
129 unsigned representation_label; /**< Representation label to distiguish independent color matrices coming from separated fermion lines */
133 inline const color &ex_to_color(const ex &e)
135 return static_cast<const color &>(*e.bp);
138 inline color &ex_to_nonconst_color(const ex &e)
140 return static_cast<color &>(*e.bp);
143 color color_ONE(unsigned rl=0);
144 color color_T(const ex & a, unsigned rl=0);
145 color color_f(const ex & a, const ex & b, const ex & c);
146 color color_d(const ex & a, const ex & b, const ex & c);
147 ex color_h(const ex & a, const ex & b, const ex & c);
148 color color_delta8(const ex & a, const ex & b);
149 void split_color_string_in_parts(const exvector & v, exvector & delta8vec,
150 exvector & fvec, exvector & dvec,
151 exvectorvector & Tvecs,
152 exvectorvector & ONEvecs,
153 exvector & unknownvec);
154 exvector recombine_color_string(exvector & delta8vec, exvector & fvec,
155 exvector & dvec, exvectorvector & Tvecs,
156 exvectorvector & ONEvecs, exvector & unknownvec);
157 ex color_trace_of_one_representation_label(const exvector & v);
158 ex color_trace(const exvector & v, unsigned rl=0);
159 ex simplify_pure_color_string(const ex & e);
160 ex simplify_color(const ex & e);
162 ex brute_force_sum_color_indices(const ex & e);
166 #endif // ndef __GINAC_COLOR_H__