more checks (more, MORE, BWAHAHHAAA!... uhm, ...) for noncommutative classes

[ginac.git] / check / exam_indexed.cpp

diff --git a/check/exam_indexed.cpp b/check/exam_indexed.cpp
index 2426430c8e4450e27a9614983046827f87e8489c..bbbbf4278f388718b29f580549a81f41fea0a441 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
@@ -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 +274,39 @@ 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;
@@ -246,7 +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;