X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_indexed.cpp;h=bbbbf4278f388718b29f580549a81f41fea0a441;hp=21e75405e80f92a06646f9abb68f05a612c1850f;hb=4dc267ddbec7fcc1ba15bf0d60d72a346c9efb26;hpb=b05dd71f9a2e70fe1e4978b455cc39bf16952bcc

diff --git a/check/exam_indexed.cpp b/check/exam_indexed.cpp
index 21e75405..bbbbf427 100644
--- 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;
 }
@@ -228,6 +274,39 @@ static unsigned edyn_check(void)
 	return result;
 }
 
+static unsigned spinor_check(void)
+{
+	// check identities of the spinor metric
+
+	unsigned result = 0;
+
+	symbol psi("psi");
+	spinidx A(symbol("A"), 2), B(symbol("B"), 2), C(symbol("C"), 2);
+	ex A_co = A.toggle_variance(), B_co = B.toggle_variance();
+	ex e;
+
+	e = spinor_metric(A_co, B_co) * spinor_metric(A, B);
+	result += check_equal_simplify(e, 2);
+	e = spinor_metric(A_co, B_co) * spinor_metric(B, A);
+	result += check_equal_simplify(e, -2);
+	e = spinor_metric(A_co, B_co) * spinor_metric(A, C);
+	result += check_equal_simplify(e, delta_tensor(B_co, C));
+	e = spinor_metric(A_co, B_co) * spinor_metric(B, C);
+	result += check_equal_simplify(e, -delta_tensor(A_co, C));
+	e = spinor_metric(A_co, B_co) * spinor_metric(C, A);
+	result += check_equal_simplify(e, -delta_tensor(B_co, C));
+	e = spinor_metric(A, B) * indexed(psi, B_co);
+	result += check_equal_simplify(e, indexed(psi, A));
+	e = spinor_metric(A, B) * indexed(psi, A_co);
+	result += check_equal_simplify(e, -indexed(psi, B));
+	e = spinor_metric(A_co, B_co) * indexed(psi, B);
+	result += check_equal_simplify(e, -indexed(psi, A_co));
+	e = spinor_metric(A_co, B_co) * indexed(psi, A);
+	result += check_equal_simplify(e, indexed(psi, B_co));
+
+	return result;
+}
+
 unsigned exam_indexed(void)
 {
 	unsigned result = 0;
@@ -239,7 +318,9 @@ 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;
+	result += spinor_check(); cout << '.' << flush;
 	
 	if (!result) {
 		cout << " passed " << endl;