X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_clifford.cpp;h=9503f162a72a38ed31a0ae03af25ca02990078e9;hp=6262af8ae07fb63b8cfc873f3f3064f476c0c69f;hb=13964f3416ec9de8829b57d4a2bbd9fe9a6db4ef;hpb=83a7ee99a947cbbf331018b803ad6be43a9ccd45

diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp
index 6262af8a..9503f162 100644
--- 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) 1999-2008 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2011 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
@@ -20,11 +20,12 @@
  *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
  */
 
-#include <iostream>
 #include "ginac.h"
-using namespace std;
 using namespace GiNaC;
 
+#include <iostream>
+using namespace std;
+
 const numeric half(1, 2);
 
 static unsigned check_equal(const ex &e1, const ex &e2)
@@ -503,7 +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));
 		
@@ -537,6 +539,19 @@ 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;
@@ -602,6 +617,8 @@ 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;
 
+	result += clifford_check8(); cout << '.' << flush;
+
 	return result;
 }