+static unsigned clifford_check4(void)
+{
+ // simplify_indexed()/dirac_trace() cross-checks
+
+ unsigned result = 0;
+
+ symbol dim("D");
+ varidx mu(symbol("mu"), dim), nu(symbol("nu"), dim), rho(symbol("rho"), dim),
+ sig(symbol("sig"), dim), lam(symbol("lam"), dim);
+ ex e, t1, t2;
+
+ e = dirac_gamma(mu) * dirac_gamma(nu) * dirac_gamma(rho) * dirac_gamma(mu.toggle_variance());
+ t1 = dirac_trace(e).simplify_indexed();
+ t2 = dirac_trace(e.simplify_indexed());
+ result += check_equal((t1 - t2).expand(), 0);
+
+ e = dirac_gamma(mu) * dirac_gamma(nu) * dirac_gamma(rho) * dirac_gamma(sig) * dirac_gamma(mu.toggle_variance()) * dirac_gamma(lam);
+ t1 = dirac_trace(e).simplify_indexed();
+ t2 = dirac_trace(e.simplify_indexed());
+ result += check_equal((t1 - t2).expand(), 0);
+
+ e = dirac_gamma(sig) * dirac_gamma(mu) * dirac_gamma(nu) * dirac_gamma(rho) * dirac_gamma(nu.toggle_variance()) * dirac_gamma(mu.toggle_variance());
+ t1 = dirac_trace(e).simplify_indexed();
+ t2 = dirac_trace(e.simplify_indexed());
+ result += check_equal((t1 - t2).expand(), 0);
+
+ e = dirac_gamma(mu) * dirac_gamma(nu) * dirac_gamma(rho) * dirac_gamma(mu.toggle_variance()) * dirac_gamma(sig) * dirac_gamma(nu.toggle_variance());
+ t1 = dirac_trace(e).simplify_indexed();
+ t2 = dirac_trace(e.simplify_indexed());
+ result += check_equal((t1 - t2).expand(), 0);
+
+ return result;
+}
+