X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_indexed.cpp;h=10eb3d01e0b65b5dba44a18f4013cd264c918490;hp=2426430c8e4450e27a9614983046827f87e8489c;hb=ba4692d78f4412b3b072e86c2b48e8e716e82fff;hpb=8f12af23380271eebc2ac923dcbde662469c7fd7

diff --git a/check/exam_indexed.cpp b/check/exam_indexed.cpp
index 2426430c..10eb3d01 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
@@ -136,14 +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;
 }
@@ -235,6 +274,63 @@ 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;
+}
+
+static unsigned dummy_check(void)
+{
+	// check dummy index renaming
+
+	unsigned result = 0;
+
+	symbol p("p"), q("q");
+	idx i(symbol("i"), 3), j(symbol("j"), 3), n(symbol("n"), 3);
+	varidx mu(symbol("mu"), 4), nu(symbol("nu"), 4);
+	ex e;
+
+	e = indexed(p, i) * indexed(q, i) - indexed(p, j) * indexed(q, j);
+	result += check_equal_simplify(e, 0);
+
+	e = indexed(p, i) * indexed(p, i) * indexed(q, j) * indexed(q, j)
+	  - indexed(p, n) * indexed(p, n) * indexed(q, j) * indexed(q, j);
+	result += check_equal_simplify(e, 0);
+
+	e = indexed(p, mu, mu.toggle_variance()) - indexed(p, nu, nu.toggle_variance());
+	result += check_equal_simplify(e, 0);
+
+	return result;
+}
+
 unsigned exam_indexed(void)
 {
 	unsigned result = 0;
@@ -246,7 +342,10 @@ 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;
+	result += dummy_check(); cout << '.' << flush;
 	
 	if (!result) {
 		cout << " passed " << endl;