- The dimension of indices is now treated as a kind of "effective" dimension

[ginac.git] / check / exam_indexed.cpp

diff --git a/check/exam_indexed.cpp b/check/exam_indexed.cpp
index 90197c082014cafbbe70767d92aa5ff77b70b8bf..4d09bdff625303e7badfb2427b9c2dc30e8ee312 100644 (file)
--- a/check/exam_indexed.cpp
+++ b/check/exam_indexed.cpp
@@ -136,8 +136,10 @@ static unsigned epsilon_check(void)
        // contraction with symmetric tensor is zero
        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(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);
@@ -153,7 +155,7 @@ 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, sy_symm(), i, j), indexed(A, sy_symm(), j, i));
@@ -185,6 +187,9 @@ static unsigned symmetry_check(void)
        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;
 }
 
@@ -305,7 +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;
 
@@ -327,13 +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;
 
@@ -352,6 +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;
 }