X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_clifford.cpp;h=68393673f78d4672432ee82d499e5cb6b05204ee;hp=e8ee3f70939e2131ede1bc549c554f18eaabd5a2;hb=aff357309f6611a59efb10d06d3dcfd3812a9ec5;hpb=f01c43a7b5cffea04d34ba3d30b41781255ad5d4

diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp
index e8ee3f70..68393673 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) 1999-2005 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2008 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 +20,10 @@
  *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
  */
 
-#include "exams.h"
+#include <iostream>
+#include "ginac.h"
+using namespace std;
+using namespace GiNaC;
 
 const numeric half(1, 2);
 
@@ -339,8 +342,8 @@ template <typename IDX> unsigned clifford_check6(const matrix &A)
 	e = dirac_ONE(2) * clifford_unit(mu, A, 2) * dirac_ONE(2);
 	result += check_equal(e, clifford_unit(mu, A, 2));
 
-	e = clifford_unit(idx(2, 4), A) * clifford_unit(idx(1, 4), A)
-	  * clifford_unit(idx(1, 4), A) * clifford_unit(idx(2, 4), A);
+	e = clifford_unit(IDX(2, 4), A) * clifford_unit(IDX(1, 4), A)
+	  * clifford_unit(IDX(1, 4), A) * clifford_unit(IDX(2, 4), A);
 	result += check_equal(e, A(1, 1) * A(2, 2) * dirac_ONE());
 
 	e = clifford_unit(IDX(2, 4), A) * clifford_unit(IDX(1, 4), A)
@@ -410,13 +413,23 @@ template <typename IDX> unsigned clifford_check6(const matrix &A)
 	result += check_equal(canonicalize_clifford(e), 0);
 
 /* lst_to_clifford() and clifford_inverse()  check*/
-	realsymbol x("x"), y("y"), t("t"), z("z");
+	realsymbol s("s"), t("t"), x("x"), y("y"), z("z");
 
 	ex c = clifford_unit(nu, A, 1);
 	e = lst_to_clifford(lst(t, x, y, z), mu, A, 1) * lst_to_clifford(lst(1, 2, 3, 4), c);
 	e1 = clifford_inverse(e);
 	result += check_equal_simplify_term2((e*e1).simplify_indexed(), dirac_ONE(1));
 
+/* lst_to_clifford() and clifford_to_lst()  check for vectors*/
+	e = lst(t, x, y, z);
+	result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, false), e);
+	result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, true), e);
+
+/* lst_to_clifford() and clifford_to_lst()  check for pseudovectors*/
+	e = lst(s, t, x, y, z);
+	result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, false), e);
+	result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, true), e);
+
 /* Moebius map (both forms) checks for symmetric metrics only */
 	matrix M1(2, 2),  M2(2, 2);
 	c = clifford_unit(nu, A);
@@ -524,12 +537,24 @@ 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;
@@ -590,12 +615,12 @@ 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();
+}