1 /** @file exam_color.cpp
3 * Here we test GiNaC's color objects (su(3) Lie algebra). */
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
25 static unsigned check_equal(const ex &e1, const ex &e2)
29 clog << e1 << "-" << e2 << " erroneously returned "
30 << e << " instead of 0" << endl;
36 static unsigned check_equal_simplify(const ex &e1, const ex &e2)
38 ex e = simplify_indexed(e1) - e2;
40 clog << "simplify_indexed(" << e1 << ")-" << e2 << " erroneously returned "
41 << e << " instead of 0" << endl;
47 static unsigned color_check1(void)
49 // checks general identities and contractions
53 idx a(symbol("a"), 8), b(symbol("b"), 8), c(symbol("c"), 8), d(symbol("d"), 8);
55 // structure constants
56 result += check_equal(color_d(a, c, a), 0);
57 result += check_equal_simplify(color_d(a, b, c) * color_d(b, d, c), numeric(5,3) * delta_tensor(a, d));
58 result += check_equal_simplify(color_d(idx(5, 8), b, c) * color_d(b, idx(5, 8), c), numeric(5,3));
59 result += check_equal_simplify(color_d(a, b, c) * color_d(b, c, a), numeric(40,3));
60 result += check_equal_simplify(color_d(a, b, c) * color_f(b, d, c), 0);
61 result += check_equal_simplify(color_d(a, b, c) * color_f(b, c, a), 0);
62 result += check_equal_simplify(color_f(a, b, c) * color_f(b, c, a), 24);
63 result += check_equal_simplify(color_f(a, b, c) * color_f(b, d, c), -3 * delta_tensor(a, d));
64 result += check_equal_simplify(color_h(a, b, c) * color_h(a, b, c), numeric(-32,3));
65 result += check_equal_simplify(color_h(a, b, c) * color_h(b, a, c), numeric(112,3));
67 ex e = color_h(a, b, c) * color_h(a, b, c);
69 for (int i=1; i<9; i++)
70 for (int j=1; j<9; j++)
71 for (int k=1; k<9; k++)
72 sum += e.subs(lst(a == i, b == j, c == k));
73 if (!sum.is_equal(numeric(-32,3))) {
74 clog << "numeric contraction of " << e << " erroneously returned "
75 << sum << " instead of -32/3" << endl;
82 unsigned exam_color(void)
86 cout << "examining color objects" << flush;
87 clog << "----------color objects:" << endl;
89 result += color_check1(); cout << '.' << flush;
92 cout << " passed " << endl;
93 clog << "(no output)" << endl;
95 cout << " failed " << endl;