- added check for epsilon tensor contraction

- fixed typo

diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp
index bea0a219f1d0cb045adf9737950bed8fa1a3905f..10f152053541a9144aae004aed0b1047f4771d91 100644 (file)
--- a/check/exam_clifford.cpp
+++ b/check/exam_clifford.cpp
@@ -107,7 +107,7 @@ static unsigned clifford_check3(void)
 
        symbol dim("D"), m("m"), q("q"), l("l"), ldotq("ldotq");
        varidx mu(symbol("mu"), dim), nu(symbol("nu"), dim), rho(symbol("rho"), dim),
 
        symbol dim("D"), m("m"), q("q"), l("l"), ldotq("ldotq");
        varidx mu(symbol("mu"), dim), nu(symbol("nu"), dim), rho(symbol("rho"), dim),

-              sig(symbol("sig"), dim), kap(symbol("kap"), dim), lam(symbol("lam"), 4);
+              sig(symbol("sig"), dim), kap(symbol("kap"), dim), lam(symbol("lam"), dim);

        ex e;
 
        e = dirac_gamma(mu);
        ex e;
 
        e = dirac_gamma(mu);

diff --git a/check/exam_indexed.cpp b/check/exam_indexed.cpp
index 546eea78ae0b1b43856e76019400cc667efd7a54..9c7a92a08d8cca85443771b2b01f96e2567bfef2 100644 (file)
--- a/check/exam_indexed.cpp
+++ b/check/exam_indexed.cpp
@@ -123,21 +123,26 @@ static unsigned epsilon_check(void)
        symbol s_mu("mu"), s_nu("nu"), s_rho("rho"), s_sigma("sigma"), s_tau("tau");
        symbol d("d");
        varidx mu(s_mu, 4), nu(s_nu, 4), rho(s_rho, 4), sigma(s_sigma, 4), tau(s_tau, 4);
        symbol s_mu("mu"), s_nu("nu"), s_rho("rho"), s_sigma("sigma"), s_tau("tau");
        symbol d("d");
        varidx mu(s_mu, 4), nu(s_nu, 4), rho(s_rho, 4), sigma(s_sigma, 4), tau(s_tau, 4);

+       varidx mu_co(s_mu, 4, true), nu_co(s_nu, 4, true), rho_co(s_rho, 4, true), sigma_co(s_sigma, 4, true), tau_co(s_tau, 4, true);

 
        // antisymmetry
        result += check_equal(lorentz_eps(mu, nu, rho, sigma) + lorentz_eps(sigma, rho, mu, nu), 0);
 
        // convolution is zero
 
        // antisymmetry
        result += check_equal(lorentz_eps(mu, nu, rho, sigma) + lorentz_eps(sigma, rho, mu, nu), 0);
 
        // convolution is zero

-       result += check_equal(lorentz_eps(mu, nu, rho, nu.toggle_variance()), 0);
-       result += check_equal(lorentz_eps(mu, nu, mu.toggle_variance(), nu.toggle_variance()), 0);
-       result += check_equal_simplify(lorentz_g(mu.toggle_variance(), nu.toggle_variance()) * lorentz_eps(mu, nu, rho, sigma), 0);
+       result += check_equal(lorentz_eps(mu, nu, rho, nu_co), 0);
+       result += check_equal(lorentz_eps(mu, nu, mu_co, nu_co), 0);
+       result += check_equal_simplify(lorentz_g(mu_co, nu_co) * lorentz_eps(mu, nu, rho, sigma), 0);

 
        // contraction with symmetric tensor is zero
 
        // contraction with symmetric tensor is zero

-       result += check_equal_simplify(lorentz_eps(mu, nu, rho, sigma) * indexed(d, sy_symm(), mu.toggle_variance(), nu.toggle_variance()), 0);
-       result += check_equal_simplify(lorentz_eps(mu, nu, rho, sigma) * indexed(d, sy_symm(), nu.toggle_variance(), sigma.toggle_variance(), rho.toggle_variance()), 0);
-       ex e = lorentz_eps(mu, nu, rho, sigma) * indexed(d, sy_symm(), mu.toggle_variance(), tau);
+       result += check_equal_simplify(lorentz_eps(mu, nu, rho, sigma) * indexed(d, sy_symm(), mu_co, nu_co), 0);
+       result += check_equal_simplify(lorentz_eps(mu, nu, rho, sigma) * indexed(d, sy_symm(), nu_co, sigma_co, rho_co), 0);
+       ex e = lorentz_eps(mu, nu, rho, sigma) * indexed(d, sy_symm(), mu_co, tau);

        result += check_equal_simplify(e, e);
 
        result += check_equal_simplify(e, e);
 

+       // contractions of epsilon tensors
+       result += check_equal_simplify(lorentz_eps(mu, nu, rho, sigma) * lorentz_eps(mu_co, nu_co, rho_co, sigma_co), -24);
+       result += check_equal_simplify(lorentz_eps(tau, nu, rho, sigma) * lorentz_eps(mu_co, nu_co, rho_co, sigma_co), -6 * delta_tensor(tau, mu_co));
+

        return result;
 }
 
        return result;
 }