X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_indexed.cpp;h=4d09bdff625303e7badfb2427b9c2dc30e8ee312;hp=e4da3f8721500de83e86a363303fb0fb3a054346;hb=b882ec7bcc64b32d1a0eb13d646975d4aca6ac92;hpb=3cc6d7d9a96a401e1e003eccf8dad1899fdbd5b9

diff --git a/check/exam_indexed.cpp b/check/exam_indexed.cpp
index e4da3f87..4d09bdff 100644
--- a/check/exam_indexed.cpp
+++ b/check/exam_indexed.cpp
@@ -3,7 +3,7 @@
  *  Here we test manipulations on GiNaC's indexed objects. */
 
 /*
- *  GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2002 Johannes Gutenberg University Mainz, Germany
  *
  *  This program is free software; you can redistribute it and/or modify
  *  it under the terms of the GNU General Public License as published by
@@ -123,20 +123,27 @@ 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);
+	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
-	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
-	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);
+	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);
+	result += check_equal_simplify(lorentz_eps(mu, nu, rho, sigma) * indexed(d, mu_co) * indexed(d, nu_co), 0);
+	result += check_equal_simplify(lorentz_eps(mu_co, nu, rho, sigma) * indexed(d, mu) * indexed(d, nu_co), 0);
+	ex e = lorentz_eps(mu, nu, rho, sigma) * indexed(d, mu_co) - lorentz_eps(mu_co, nu, rho, sigma) * indexed(d, mu);
+	result += check_equal_simplify(e, 0);
+
+	// 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;
 }
@@ -148,28 +155,41 @@ static unsigned symmetry_check(void)
 	unsigned result = 0;
 
 	idx i(symbol("i"), 3), j(symbol("j"), 3), k(symbol("k"), 3), l(symbol("l"), 3);
-	symbol A("A"), B("B");
+	symbol A("A"), B("B"), C("C");
 	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(indexed(A, sy_symm(), i, j), indexed(A, sy_symm(), j, i));
+	result += check_equal(indexed(A, sy_anti(), i, j) + indexed(A, sy_anti(), j, i), 0);
+	result += check_equal(indexed(A, sy_anti(), i, j, k) - indexed(A, sy_anti(), j, k, i), 0);
+	e = indexed(A, sy_symm(), i, j, k) *
+	    indexed(B, sy_anti(), 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
+	e = indexed(A, sy_symm(), i, i, j, j) *
+	    indexed(B, sy_anti(), k, l); // GiNaC 0.8.0 had a bug here
 	result += check_equal_simplify(e, e);
 
+	symmetry R = sy_symm(sy_anti(0, 1), sy_anti(2, 3));
+	e = indexed(A, R, i, j, k, l) + indexed(A, R, j, i, k, l);
+	result += check_equal(e, 0);
+	e = indexed(A, R, i, j, k, l) + indexed(A, R, i, j, l, k);
+	result += check_equal(e, 0);
+	e = indexed(A, R, i, j, k, l) - indexed(A, R, j, i, l, k);
+	result += check_equal(e, 0);
+	e = indexed(A, R, i, j, k, l) + indexed(A, R, k, l, j, i);
+	result += check_equal(e, 0);
+
 	e = indexed(A, i, j);
 	result += check_equal(symmetrize(e) + antisymmetrize(e), e);
-	e = indexed(A, indexed::symmetric, i, j, k, l);
+	e = indexed(A, sy_symm(), i, j, k, l);
 	result += check_equal(symmetrize(e), e);
 	result += check_equal(antisymmetrize(e), 0);
-	e = indexed(A, indexed::antisymmetric, i, j, k, l);
+	e = indexed(A, sy_anti(), i, j, k, l);
 	result += check_equal(symmetrize(e), 0);
 	result += check_equal(antisymmetrize(e), e);
 
+	e = (indexed(A, sy_anti(), i, j, k, l) * (indexed(B, j) * indexed(C, k) + indexed(B, k) * indexed(C, j)) + indexed(B, i, l)).expand();
+	result += check_equal_simplify(e, indexed(B, i, l));
+
 	return result;
 }
 
@@ -290,7 +310,7 @@ static unsigned spinor_check(void)
 	unsigned result = 0;
 
 	symbol psi("psi");
-	spinidx A(symbol("A"), 2), B(symbol("B"), 2), C(symbol("C"), 2);
+	spinidx A(symbol("A")), B(symbol("B")), C(symbol("C")), D(symbol("D"));
 	ex A_co = A.toggle_variance(), B_co = B.toggle_variance();
 	ex e;
 
@@ -312,13 +332,15 @@ static unsigned spinor_check(void)
 	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));
+	e = spinor_metric(D, A) * spinor_metric(A_co, B_co) * spinor_metric(B, C) - spinor_metric(D, A_co) * spinor_metric(A, B_co) * spinor_metric(B, C);
+	result += check_equal_simplify(e, 0);
 
 	return result;
 }
 
 static unsigned dummy_check(void)
 {
-	// check dummy index renaming
+	// check dummy index renaming/repositioning
 
 	unsigned result = 0;
 
@@ -337,6 +359,15 @@ static unsigned dummy_check(void)
 	e = indexed(p, mu, mu.toggle_variance()) - indexed(p, nu, nu.toggle_variance());
 	result += check_equal_simplify(e, 0);
 
+	e = indexed(p, mu.toggle_variance(), nu, mu) * indexed(q, i)
+	  - indexed(p, mu, nu, mu.toggle_variance()) * indexed(q, i);
+	result += check_equal_simplify(e, 0);
+
+	e = indexed(p, mu, mu.toggle_variance()) - indexed(p, nu.toggle_variance(), nu);
+	result += check_equal_simplify(e, 0);
+	e = indexed(p, mu.toggle_variance(), mu) - indexed(p, nu, nu.toggle_variance());
+	result += check_equal_simplify(e, 0);
+
 	return result;
 }