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__
31 #ifndef NO_NAMESPACE_GINAC
33 #endif // ndef NO_NAMESPACE_GINAC
35 const unsigned MAX_REPRESENTATION_LABELS = 4;
36 const unsigned COLOR_EIGHT = 8; // N*N-1
37 const unsigned COLOR_THREE = 3; // N
39 // Cint doesn't like vector<..,default_alloc> but malloc_alloc is
40 // unstandardized and not supported by newer GCCs.
41 #if defined(__GNUC__) && ((__GNUC__ == 2) && (__GNUC_MINOR__ < 97))
42 typedef std::vector<exvector,malloc_alloc> exvectorvector;
44 typedef std::vector<exvector> exvectorvector;
48 /** This class holds an object carrying color indices (of class coloridx).
49 * It can represent the generators T_a and structure constants f_abc/d_abc
50 * of SU(3), the unity element ONE of the Lie algebra of SU(3), or the
51 * unity matrix delta8. Together, these objects are used to implement the
52 * Lie algebra su(3), as required for calculations in quantum
53 * chromodynamics. A representation label (an unsigned integer) is used to
54 * distinguish elements from different Lie algebras (only objects with the
55 * same representation label "interact" with each other). */
56 class color : public indexed
58 GINAC_DECLARE_REGISTERED_CLASS(color, indexed)
62 friend color color_ONE(unsigned rl);
63 friend color color_T(const ex & a, unsigned rl);
64 friend color color_f(const ex & a, const ex & b, const ex & c);
65 friend color color_d(const ex & a, const ex & b, const ex & c);
66 friend ex color_h(const ex & a, const ex & b, const ex & c);
67 friend color color_delta8(const ex & a, const ex & b);
68 friend unsigned subs_index_in_exvector(exvector & v, const ex & is, const ex & ir);
69 friend void split_color_string_in_parts(const exvector & v, exvector & delta8vec,
70 exvector & fvec, exvector & dvec,
71 exvectorvector & Tvecs,
72 exvectorvector & ONEvecs,
73 exvector & unknownvec);
74 friend exvector recombine_color_string(exvector & delta8vec, exvector & fvec,
75 exvector & dvec, exvectorvector & Tvecs,
76 exvectorvector & ONEvecs, exvector & unknownvec);
77 friend ex color_trace_of_one_representation_label(const exvector & v);
78 friend ex color_trace(const exvector & v, unsigned rl);
79 friend ex simplify_pure_color_string(const ex & e);
80 friend ex simplify_color(const ex & e);
87 invalid, /**< not properly constructed */
88 color_T, /**< one of the generators T_a of SU(3) (these are non-commutative) */
89 color_f, /**< one of the antisymmetric structure constants f_abc of SU(3) */
90 color_d, /**< one of the symmetric structure constants d_abc of SU(3) */
91 color_delta8, /**< the unity matrix */
92 color_ONE /**< the unity element of su(3) */
99 color(color_types const t, unsigned rl=0);
100 color(color_types const t, const ex & i1, unsigned rl=0);
101 color(color_types const t, const ex & i1, const ex & i2, unsigned rl=0);
102 color(color_types const t, const ex & i1, const ex & i2, const ex & i3,
104 color(color_types const t, const exvector & iv, unsigned rl=0);
105 color(color_types const t, exvector * ivp, unsigned rl=0);
107 // functions overriding virtual functions from base classes
109 void printraw(std::ostream & os) const;
110 void printtree(std::ostream & os, unsigned indent) const;
111 void print(std::ostream & os, unsigned upper_precedence=0) const;
112 bool info(unsigned inf) const;
113 ex eval(int level=0) const;
115 bool is_equal_same_type(const basic & other) const;
116 ex simplify_ncmul(const exvector & v) const;
117 ex thisexprseq(const exvector & v) const;
118 ex thisexprseq(exvector * vp) const;
120 // new virtual functions which can be overridden by derived classes
123 // non-virtual functions in this class
125 bool all_of_type_coloridx(void) const;
130 color_types type; /**< Type of object (generator, structure constant etc.) */
131 unsigned representation_label; /**< Representation label to distiguish independent color matrices coming from separated fermion lines */
135 inline const color &ex_to_color(const ex &e)
137 return static_cast<const color &>(*e.bp);
140 inline color &ex_to_nonconst_color(const ex &e)
142 return static_cast<color &>(*e.bp);
145 color color_ONE(unsigned rl=0);
146 color color_T(const ex & a, unsigned rl=0);
147 color color_f(const ex & a, const ex & b, const ex & c);
148 color color_d(const ex & a, const ex & b, const ex & c);
149 ex color_h(const ex & a, const ex & b, const ex & c);
150 color color_delta8(const ex & a, const ex & b);
151 void split_color_string_in_parts(const exvector & v, exvector & delta8vec,
152 exvector & fvec, exvector & dvec,
153 exvectorvector & Tvecs,
154 exvectorvector & ONEvecs,
155 exvector & unknownvec);
156 exvector recombine_color_string(exvector & delta8vec, exvector & fvec,
157 exvector & dvec, exvectorvector & Tvecs,
158 exvectorvector & ONEvecs, exvector & unknownvec);
159 ex color_trace_of_one_representation_label(const exvector & v);
160 ex color_trace(const exvector & v, unsigned rl=0);
161 ex simplify_pure_color_string(const ex & e);
162 ex simplify_color(const ex & e);
164 ex brute_force_sum_color_indices(const ex & e);
166 #ifndef NO_NAMESPACE_GINAC
168 #endif // ndef NO_NAMESPACE_GINAC
170 #endif // ndef __GINAC_COLOR_H__