1 /** @file exam_clifford.cpp
3 * Here we test GiNaC's Clifford algebra objects. */
6 * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
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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 clifford_check1(void)
49 // checks general identities and contractions
54 varidx mu(symbol("mu"), dim), nu(symbol("nu"), dim);
57 e = dirac_gamma(mu) * dirac_gamma(nu) *
58 dirac_gamma(nu.toggle_variance()) * dirac_gamma(mu.toggle_variance());
59 result += check_equal_simplify(e, pow(dim, 2) * dirac_one());
61 e = dirac_gamma(mu) * dirac_gamma(nu) *
62 dirac_gamma(mu.toggle_variance()) * dirac_gamma(nu.toggle_variance());
63 result += check_equal_simplify(e, 2*dim*dirac_one()-pow(dim, 2)*dirac_one());
68 unsigned exam_clifford(void)
72 cout << "examining clifford objects" << flush;
73 clog << "----------clifford objects:" << endl;
75 result += clifford_check1(); cout << '.' << flush;
78 cout << " passed " << endl;
79 clog << "(no output)" << endl;
81 cout << " failed " << endl;