Fix some apparent typos and misindentations.

[ginac.git] / check / exam_clifford.cpp

diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp
index 006c07694a6595dcc634faddaaee7f9210833d14..420089fdca678442e22877c42963f910eae3c7b3 100644 (file)
--- a/check/exam_clifford.cpp
+++ b/check/exam_clifford.cpp
@@ -3,7 +3,7 @@
  *  Here we test GiNaC's Clifford algebra objects. */
 
 /*
- *  GiNaC Copyright (C) 1999-2007 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2015 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
@@ -20,7 +20,11 @@
  *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
  */
 
-#include "exams.h"
+#include "ginac.h"
+using namespace GiNaC;
+
+#include <iostream>
+using namespace std;
 
 const numeric half(1, 2);
 
@@ -243,7 +247,7 @@ static unsigned clifford_check3()
        e = dirac_gamma(mu, 0) * dirac_gamma(mu.toggle_variance(), 1) * dirac_gamma(nu, 0) * dirac_gamma(nu.toggle_variance(), 1);
        result += check_equal_simplify(dirac_trace(e, 0), 4 * dim * dirac_ONE(1));
        result += check_equal_simplify(dirac_trace(e, 1), 4 * dim * dirac_ONE(0));
-       // Fails with new tinfo mechanism because the order of gamme matrices with different rl depends on luck. 
+       // Fails with new tinfo mechanism because the order of gamma matrices with different rl depends on luck.
        // TODO: better check.
        //result += check_equal_simplify(dirac_trace(e, 2), canonicalize_clifford(e)); // e will be canonicalized by the calculation of the trace
        result += check_equal_simplify(dirac_trace(e, lst(0, 1)), 16 * dim);
@@ -500,7 +504,8 @@ static unsigned clifford_check7(const ex & G, const symbol & dim)
        result += check_equal(e, pow(scalar*(dim-2), 2).expand() * clifford_unit(mu, G));
 
        // canonicalize_clifford() checks, only for symmetric metrics
-       if (ex_to<symmetry>(ex_to<indexed>(ex_to<clifford>(clifford_unit(mu, G)).get_metric()).get_symmetry()).has_symmetry()) {
+       if (is_a<indexed>(ex_to<clifford>(clifford_unit(mu, G)).get_metric()) &&
+           ex_to<symmetry>(ex_to<indexed>(ex_to<clifford>(clifford_unit(mu, G)).get_metric()).get_symmetry()).has_symmetry()) {
                e = clifford_unit(mu, G) * clifford_unit(nu, G) + clifford_unit(nu, G) * clifford_unit(mu, G);
                result += check_equal(canonicalize_clifford(e), 2*dirac_ONE()*unit.get_metric(nu, mu));
                
@@ -534,12 +539,24 @@ static unsigned clifford_check7(const ex & G, const symbol & dim)
        return result;
 }
 
+static unsigned clifford_check8()
+{
+       unsigned result = 0;
+
+       realsymbol a("a");
+       varidx mu(symbol("mu", "\\mu"), 1);
+
+       ex e = clifford_unit(mu, diag_matrix(lst(-1))), e0 = e.subs(mu==0);
+       result += ( exp(a*e0)*e0*e0 == -exp(e0*a) ) ? 0 : 1;
+
+       return result;
+}
+
 unsigned exam_clifford()
 {
        unsigned result = 0;
        
        cout << "examining clifford objects" << flush;
-       clog << "----------clifford objects:" << endl;
 
        result += clifford_check1(); cout << '.' << flush;
        result += clifford_check2(); cout << '.' << flush;
@@ -559,34 +576,34 @@ unsigned exam_clifford()
        result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst(-1, 1, s, t))))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst(-1, 1, s, t))));; cout << '.' << flush;
 
        matrix A(4, 4);
-       A = 1, 0, 0, 0, // anticommuting, not symmetric, Tr=0
-               0, -1, 0, 0,
-               0, 0, 0, -1,
-               0, 0, 1, 0; 
+       A = 1,  0,  0,  0, // anticommuting, not symmetric, Tr=0
+           0, -1,  0,  0,
+           0,  0,  0, -1,
+           0,  0,  1,  0;
        result += clifford_check6<varidx>(A)+clifford_check6<idx>(A);; cout << '.' << flush;
 
-       A = 1, 0, 0, 0, // anticommuting, not symmetric, Tr=2
-               0, 1, 0, 0,
-               0, 0, 0, -1,
-               0, 0, 1, 0; 
+       A = 1,  0,  0,  0, // anticommuting, not symmetric, Tr=2
+           0,  1,  0,  0,
+           0,  0,  0, -1,
+           0,  0,  1,  0;
        result += clifford_check6<varidx>(A)+clifford_check6<idx>(A);; cout << '.' << flush;
 
-       A = 1, 0, 0, 0, // not anticommuting, symmetric, Tr=0
-               0, -1, 0, 0,
-               0, 0, 0, -1,
-               0, 0, -1, 0; 
+       A = 1,  0,  0,  0, // not anticommuting, symmetric, Tr=0
+           0, -1,  0,  0,
+           0,  0,  0, -1,
+           0,  0, -1,  0;
        result += clifford_check6<varidx>(A)+clifford_check6<idx>(A);; cout << '.' << flush;
 
-       A = 1, 0, 0, 0, // not anticommuting, symmetric, Tr=2
-               0, 1, 0, 0,
-               0, 0, 0, -1,
-               0, 0, -1, 0; 
+       A = 1,  0,  0,  0, // not anticommuting, symmetric, Tr=2
+           0,  1,  0,  0,
+           0,  0,  0, -1,
+           0,  0, -1,  0;
        result += clifford_check6<varidx>(A)+clifford_check6<idx>(A);; cout << '.' << flush;
 
-       A = 1, 1, 0, 0, // not anticommuting, not symmetric, Tr=4
-               0, 1, 1, 0,
-               0, 0, 1, 1,
-               0, 0, 0, 1; 
+       A = 1,  1,  0,  0, // not anticommuting, not symmetric, Tr=4
+           0,  1,  1,  0,
+           0,  0,  1,  1,
+           0,  0,  0,  1;
        result += clifford_check6<varidx>(A)+clifford_check6<idx>(A);; cout << '.' << flush;
 
        symbol dim("D");
@@ -600,12 +617,12 @@ unsigned exam_clifford()
        result += clifford_check7(indexed(-2*minkmetric(), sy_symm(), xi, chi), dim); cout << '.' << flush;
        result += clifford_check7(-2*delta_tensor(xi, chi), dim); cout << '.' << flush;
 
-       if (!result) {
-               cout << " passed " << endl;
-               clog << "(no output)" << endl;
-       } else {
-               cout << " failed " << endl;
-       }
+       result += clifford_check8(); cout << '.' << flush;
 
        return result;
 }
+
+int main(int argc, char** argv)
+{
+       return exam_clifford();
+}