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 442e36d0ba767e663c97c3f950df94f79edf6d75..bbbbf4278f388718b29f580549a81f41fea0a441 100644 (file)
--- a/check/exam_indexed.cpp
+++ b/check/exam_indexed.cpp
@@ -274,6 +274,39 @@ static unsigned edyn_check(void)
        return result;
 }
 
        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;
 unsigned exam_indexed(void)
 {
        unsigned result = 0;


@@ -287,6 +320,7 @@ unsigned exam_indexed(void)
        result += symmetry_check();  cout << '.' << flush;
        result += scalar_product_check();  cout << '.' << flush;
        result += edyn_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;
        
        if (!result) {
                cout << " passed " << endl;