added first trace check

diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp
index 2b28be4c5030636af3e55b83998f4d1fd513de0e..6f1540a7dc099a022622012be2a1d0cc83c85fae 100644 (file)
--- a/check/exam_clifford.cpp
+++ b/check/exam_clifford.cpp
@@ -94,6 +94,27 @@ static unsigned clifford_check2(void)
        return result;
 }
 
+static unsigned clifford_check3(void)
+{
+       // checks traces
+
+       unsigned result = 0;
+
+       symbol dim("D"), m("m"), q("q");
+       varidx mu(symbol("mu"), dim), nu(symbol("nu"), dim);
+       scalar_products sp;
+       ex e;
+
+       sp.add(q, q, pow(q, 2));
+
+       e = pow(m, 2) * indexed(q, mu) * indexed(q, nu)
+         * dirac_gamma(mu.toggle_variance()) * dirac_gamma(nu.toggle_variance());
+       e = dirac_trace(e).simplify_indexed(sp);
+       result += check_equal(e, 4*pow(m, 2)*pow(q, 2));
+
+       return result;
+}
+
 unsigned exam_clifford(void)
 {
        unsigned result = 0;
@@ -103,6 +124,7 @@ unsigned exam_clifford(void)
 
        result += clifford_check1();  cout << '.' << flush;
        result += clifford_check2();  cout << '.' << flush;
+       result += clifford_check3();  cout << '.' << flush;
        
        if (!result) {
                cout << " passed " << endl;