Happy New Year!

[ginac.git] / check / exam_clifford.cpp

diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp
index ec64ba9604711198c32db37b3aa04a40e7f0401a..b067438bb1edbd310c0b942ed0cf84da4d6debd5 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) 1999-2015 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2019 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
@@ -542,12 +542,49 @@ static unsigned clifford_check8()
 {
        unsigned result = 0;
 
-       realsymbol a("a");
+       realsymbol a("a"), b("b"), x("x");
        varidx mu(symbol("mu", "\\mu"), 1);
 
        ex e = clifford_unit(mu, diag_matrix({-1})), e0 = e.subs(mu==0);
        result += ( exp(a*e0)*e0*e0 == -exp(e0*a) ) ? 0 : 1;
 
+       ex P = color_T(idx(a,8))*color_T(idx(b,8))*(x*dirac_ONE()+sqrt(x-1)*e0);
+       ex P_prime = color_T(idx(a,8))*color_T(idx(b,8))*(x*dirac_ONE()-sqrt(x-1)*e0);
+
+       result += check_equal(clifford_prime(P), P_prime);
+       result += check_equal(clifford_star(P), P);
+       result += check_equal(clifford_bar(P), P_prime);
+
+       return result;
+}
+
+static unsigned clifford_check9()
+{
+       unsigned result = 0;
+
+       realsymbol a("a"), b("b"), x("x");;
+       varidx mu(symbol("mu", "\\mu"), 4),  nu(symbol("nu", "\\nu"), 4);
+
+       ex e = clifford_unit(mu, lorentz_g(mu, nu));
+       ex e0 = e.subs(mu==0);
+       ex e1 = e.subs(mu==1);
+       ex e2 = e.subs(mu==2);
+       ex e3 = e.subs(mu==3);
+       ex one = dirac_ONE();
+
+       ex P = color_T(idx(a,8))*color_T(idx(b,8))
+              *(x*one+sqrt(x-1)*e0+sqrt(x-2)*e0*e1 +sqrt(x-3)*e0*e1*e2 +sqrt(x-4)*e0*e1*e2*e3);
+       ex P_prime = color_T(idx(a,8))*color_T(idx(b,8))
+              *(x*one-sqrt(x-1)*e0+sqrt(x-2)*e0*e1 -sqrt(x-3)*e0*e1*e2 +sqrt(x-4)*e0*e1*e2*e3);
+       ex P_star = color_T(idx(a,8))*color_T(idx(b,8))
+              *(x*one+sqrt(x-1)*e0+sqrt(x-2)*e1*e0 +sqrt(x-3)*e2*e1*e0 +sqrt(x-4)*e3*e2*e1*e0);
+       ex P_bar = color_T(idx(a,8))*color_T(idx(b,8))
+              *(x*one-sqrt(x-1)*e0+sqrt(x-2)*e1*e0 -sqrt(x-3)*e2*e1*e0 +sqrt(x-4)*e3*e2*e1*e0);
+
+       result += check_equal(clifford_prime(P), P_prime);
+       result += check_equal(clifford_star(P), P_star);
+       result += check_equal(clifford_bar(P), P_bar);
+
        return result;
 }
 
@@ -571,7 +608,7 @@ unsigned exam_clifford()
        result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix({-1, 0, 1, -1})))+clifford_check6<idx>(ex_to<matrix>(diag_matrix({-1, 0, 1, -1})));; cout << '.' << flush;
        result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix({-3, 0, 2, -1})))+clifford_check6<idx>(ex_to<matrix>(diag_matrix({-3, 0, 2, -1})));; cout << '.' << flush;
 
-       realsymbol s("s"), t("t"); // symbolic entries in matric
+       realsymbol s("s"), t("t"); // symbolic entries in matrix
        result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix({-1, 1, s, t})))+clifford_check6<idx>(ex_to<matrix>(diag_matrix({-1, 1, s, t})));; cout << '.' << flush;
 
        matrix A(4, 4);
@@ -618,6 +655,8 @@ unsigned exam_clifford()
 
        result += clifford_check8(); cout << '.' << flush;
 
+       result += clifford_check9(); cout << '.' << flush;
+
        return result;
 }