added check for archiving system

[ginac.git] / check / exam_indexed.cpp

diff --git a/check/exam_indexed.cpp b/check/exam_indexed.cpp
index 21e75405e80f92a06646f9abb68f05a612c1850f..442e36d0ba767e663c97c3f950df94f79edf6d75 100644 (file)
--- a/check/exam_indexed.cpp
+++ b/check/exam_indexed.cpp
@@ -44,6 +44,17 @@ static unsigned check_equal_simplify(const ex &e1, const ex &e2)
        return 0;
 }
 
+static unsigned check_equal_simplify(const ex &e1, const ex &e2, const scalar_products &sp)
+{
+       ex e = simplify_indexed(e1, sp) - e2;
+       if (!e.is_zero()) {
+               clog << "simplify_indexed(" << e1 << ")-" << e2 << " erroneously returned "
+                    << e << " instead of 0" << endl;
+               return 1;
+       }
+       return 0;
+}
+
 static unsigned delta_check(void)
 {
        // checks identities of the delta tensor
@@ -109,8 +120,9 @@ static unsigned epsilon_check(void)
 
        unsigned result = 0;
 
-       symbol s_mu("mu"), s_nu("nu"), s_rho("rho"), s_sigma("sigma");
-       varidx mu(s_mu, 4), nu(s_nu, 4), rho(s_rho, 4), sigma(s_sigma, 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);
 
        // antisymmetry
        result += check_equal(lorentz_eps(mu, nu, rho, sigma) + lorentz_eps(sigma, rho, mu, nu), 0);
@@ -120,6 +132,12 @@ static unsigned epsilon_check(void)
        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);
 
+       // contraction with symmetric tensor is zero
+       result += check_equal_simplify(lorentz_eps(mu, nu, rho, sigma) * indexed(d, indexed::symmetric, mu.toggle_variance(), nu.toggle_variance()), 0);
+       result += check_equal_simplify(lorentz_eps(mu, nu, rho, sigma) * indexed(d, indexed::symmetric, nu.toggle_variance(), sigma.toggle_variance(), rho.toggle_variance()), 0);
+       ex e = lorentz_eps(mu, nu, rho, sigma) * indexed(d, indexed::symmetric, mu.toggle_variance(), tau);
+       result += check_equal_simplify(e, e);
+
        return result;
 }
 
@@ -129,14 +147,42 @@ static unsigned symmetry_check(void)
 
        unsigned result = 0;
 
-       symbol s_i("i"), s_j("j"), s_k("k");
-       idx i(s_i, 3), j(s_j, 3), k(s_k, 3);
-       symbol A("A");
-       ex e, e1, e2;
+       idx i(symbol("i"), 3), j(symbol("j"), 3), k(symbol("k"), 3), l(symbol("l"), 3);
+       symbol A("A"), B("B");
+       ex e;
 
        result += check_equal(indexed(A, indexed::symmetric, i, j), indexed(A, indexed::symmetric, j, i));
        result += check_equal(indexed(A, indexed::antisymmetric, i, j) + indexed(A, indexed::antisymmetric, j, i), 0);
        result += check_equal(indexed(A, indexed::antisymmetric, i, j, k) - indexed(A, indexed::antisymmetric, j, k, i), 0);
+       e = indexed(A, indexed::symmetric, i, j, k) *
+           indexed(B, indexed::antisymmetric, l, k, i);
+       result += check_equal_simplify(e, 0);
+       e = indexed(A, indexed::symmetric, i, i, j, j) *
+           indexed(B, indexed::antisymmetric, k, l); // GiNaC 0.8.0 had a bug here
+       result += check_equal_simplify(e, e);
+
+       return result;
+}
+
+static unsigned scalar_product_check(void)
+{
+       // check scalar product replacement
+
+       unsigned result = 0;
+
+    idx i(symbol("i"), 3), j(symbol("j"), 3);
+    symbol A("A"), B("B"), C("C");
+       ex e;
+
+    scalar_products sp;
+    sp.add(A, B, 0); // A and B are orthogonal
+    sp.add(A, C, 0); // A and C are orthogonal
+    sp.add(A, A, 4); // A^2 = 4 (A has length 2)
+
+    e = (indexed(A + B, i) * indexed(A + C, i)).expand(expand_options::expand_indexed);
+       result += check_equal_simplify(e, indexed(B, i) * indexed(C, i) + 4, sp);
+       e = indexed(A, i, i) * indexed(B, j, j); // GiNaC 0.8.0 had a bug here
+       result += check_equal_simplify(e, e, sp);
 
        return result;
 }
@@ -239,6 +285,7 @@ unsigned exam_indexed(void)
        result += metric_check();  cout << '.' << flush;
        result += epsilon_check();  cout << '.' << flush;
        result += symmetry_check();  cout << '.' << flush;
+       result += scalar_product_check();  cout << '.' << flush;
        result += edyn_check();  cout << '.' << flush;
        
        if (!result) {