Fixed bug in series expansion of log.

[ginac.git] / check / exam_clifford.cpp

diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp
index 287a600d10882700ac53a1e28098811f45327082..b6ec71e455317bccb9b56eed2e96372f35ac47a3 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) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2004 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
@@ -44,7 +44,7 @@ static unsigned check_equal_simplify(const ex &e1, const ex &e2)
        return 0;
 }
 
-static unsigned clifford_check1(void)
+static unsigned clifford_check1()
 {
        // checks general identities and contractions
 
@@ -80,7 +80,7 @@ static unsigned clifford_check1(void)
        return result;
 }
 
-static unsigned clifford_check2(void)
+static unsigned clifford_check2()
 {
        // checks identities relating to gamma5
 
@@ -99,7 +99,7 @@ static unsigned clifford_check2(void)
        return result;
 }
 
-static unsigned clifford_check3(void)
+static unsigned clifford_check3()
 {
        // checks traces
 
@@ -156,27 +156,38 @@ static unsigned clifford_check3(void)
          + dim * dirac_gamma5() * dirac_gamma(nu) * dirac_gamma(rho) * dirac_gamma(sig) * dirac_gamma(kap);
        e = dirac_trace(e).simplify_indexed();
        e = (e / (dim - 4)).normal();
-       result += check_equal(e, 8 * I * eps0123(nu, rho, sig, kap));
+       result += check_equal(e, 8 * I * lorentz_eps(nu.replace_dim(4), rho.replace_dim(4), sig.replace_dim(4), kap.replace_dim(4)));
 
        // one-loop vacuum polarization in QED
        e = dirac_gamma(mu) *
-           (dirac_slash(l, dim) + dirac_slash(q, dim) + m * dirac_ONE()) *
+           (dirac_slash(l, dim) + dirac_slash(q, 4) + m * dirac_ONE()) *
            dirac_gamma(mu.toggle_variance()) *
            (dirac_slash(l, dim) + m * dirac_ONE());
        e = dirac_trace(e).simplify_indexed(sp);
        result += check_equal(e, 4*((2-dim)*l*l + (2-dim)*ldotq + dim*m*m).expand());
 
-       e = dirac_slash(q, dim) *
-           (dirac_slash(l, dim) + dirac_slash(q, dim) + m * dirac_ONE()) *
-           dirac_slash(q, dim) *
+       e = dirac_slash(q, 4) *
+           (dirac_slash(l, dim) + dirac_slash(q, 4) + m * dirac_ONE()) *
+           dirac_slash(q, 4) *
            (dirac_slash(l, dim) + m * dirac_ONE());
        e = dirac_trace(e).simplify_indexed(sp);
        result += check_equal(e, 4*(2*ldotq*ldotq + q*q*ldotq - q*q*l*l + q*q*m*m).expand());
 
+       // stuff that had problems in the past
+       ex prop = dirac_slash(q, dim) - m * dirac_ONE();
+       e = dirac_slash(l, dim) * dirac_gamma5() * dirac_slash(l, dim) * prop;
+       e = dirac_trace(dirac_slash(q, dim) * e) - dirac_trace(m * e)
+         - dirac_trace(prop * e);
+       result += check_equal(e, 0);
+
+       e = (dirac_gamma5() + dirac_ONE()) * dirac_gamma5();
+       e = dirac_trace(e);
+       result += check_equal(e, 4);
+
        return result;
 }
 
-static unsigned clifford_check4(void)
+static unsigned clifford_check4()
 {
        // simplify_indexed()/dirac_trace() cross-checks
 
@@ -210,7 +221,7 @@ static unsigned clifford_check4(void)
        return result;
 }
 
-static unsigned clifford_check5(void)
+static unsigned clifford_check5()
 {
        // canonicalize_clifford() checks
 
@@ -221,7 +232,7 @@ static unsigned clifford_check5(void)
        ex e;
 
        e = dirac_gamma(mu) * dirac_gamma(nu) + dirac_gamma(nu) * dirac_gamma(mu);
-       result += check_equal(canonicalize_clifford(e), 2*lorentz_g(mu, nu));
+       result += check_equal(canonicalize_clifford(e), 2*dirac_ONE()*lorentz_g(mu, nu));
 
        e = (dirac_gamma(mu) * dirac_gamma(nu) * dirac_gamma(lam)
           + dirac_gamma(nu) * dirac_gamma(lam) * dirac_gamma(mu)
@@ -238,7 +249,7 @@ static unsigned clifford_check5(void)
        return result;
 }
 
-unsigned exam_clifford(void)
+unsigned exam_clifford()
 {
        unsigned result = 0;