+/** @file exam_clifford.cpp
+ *
+ * Here we test GiNaC's Clifford algebra objects. */
+
+/*
+ * GiNaC Copyright (C) 1999-2001 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
+ */
+
+#include "exams.h"
+
+static unsigned check_equal(const ex &e1, const ex &e2)
+{
+ ex e = e1 - e2;
+ if (!e.is_zero()) {
+ clog << e1 << "-" << e2 << " erroneously returned "
+ << e << " instead of 0" << endl;
+ return 1;
+ }
+ return 0;
+}
+
+static unsigned check_equal_simplify(const ex &e1, const ex &e2)
+{
+ ex e = simplify_indexed(e1) - e2;
+ if (!e.is_zero()) {
+ clog << "simplify_indexed(" << e1 << ")-" << e2 << " erroneously returned "
+ << e << " instead of 0" << endl;
+ return 1;
+ }
+ return 0;
+}
+
+static unsigned clifford_check1(void)
+{
+ // checks general identities and contractions
+
+ unsigned result = 0;
+
+ symbol dim("D");
+ varidx mu(symbol("mu"), dim), nu(symbol("nu"), dim);
+ ex e;
+
+ e = dirac_gamma(mu) * dirac_gamma(nu) *
+ dirac_gamma(nu.toggle_variance()) * dirac_gamma(mu.toggle_variance());
+ result += check_equal_simplify(e, pow(dim, 2) * dirac_one());
+
+ e = dirac_gamma(mu) * dirac_gamma(nu) *
+ dirac_gamma(mu.toggle_variance()) * dirac_gamma(nu.toggle_variance());
+ result += check_equal_simplify(e, 2*dim*dirac_one()-pow(dim, 2)*dirac_one());
+
+ return result;
+}
+
+unsigned exam_clifford(void)
+{
+ unsigned result = 0;
+
+ cout << "examining clifford objects" << flush;
+ clog << "----------clifford objects:" << endl;
+
+ result += clifford_check1(); cout << '.' << flush;
+
+ if (!result) {
+ cout << " passed " << endl;
+ clog << "(no output)" << endl;
+ } else {
+ cout << " failed " << endl;
+ }
+
+ return result;
+}
git://www.ginac.de / ginac.git / commitdiff