X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_clifford.cpp;h=f504cd0ece3c56f2908ee7f97a064ef975e1f489;hp=6f3f4efdca98c68efb66d9b4e5db99bf3c6a1037;hb=e7d59ed49503cfe73fdb6038c2c69c87cbde7c24;hpb=0020be89183f0799e1bce75c6142c2a4f43e8d0a diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp index 6f3f4efd..f504cd0e 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) 1999-2011 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 @@ -20,7 +20,11 @@ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ -#include "exams.h" +#include "ginac.h" +using namespace GiNaC; + +#include +using namespace std; const numeric half(1, 2); @@ -410,13 +414,23 @@ template 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 +538,24 @@ 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 +616,12 @@ 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(); +}