* Here we test GiNaC's color objects (su(3) Lie algebra). */
/*
- * GiNaC Copyright (C) 1999-2002 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2020 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
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#include "exams.h"
+#include "ginac.h"
+using namespace GiNaC;
+
+#include <iostream>
+using namespace std;
static unsigned check_equal(const ex &e1, const ex &e2)
{
return 0;
}
-static unsigned color_check1(void)
+static unsigned color_check1()
{
// checks general identities and contractions of the structure constants
for (int i=1; i<9; i++)
for (int j=1; j<9; j++)
for (int k=1; k<9; k++)
- sum += e.subs(lst(a == i, b == j, c == k));
+ sum += e.subs(lst{a == i, b == j, c == k});
if (!sum.is_equal(numeric(-32,3))) {
clog << "numeric contraction of " << e << " erroneously returned "
<< sum << " instead of -32/3" << endl;
return result;
}
-static unsigned color_check2(void)
+static unsigned color_check2()
{
// checks general identities and contractions of the generators
return result;
}
-static unsigned color_check3(void)
+static unsigned color_check3()
{
// checks traces
unsigned result = 0;
- idx a(symbol("a"), 8), b(symbol("b"), 8), c(symbol("c"), 8), k(symbol("k"), 8);
+ idx a(symbol("a"), 8), b(symbol("b"), 8), c(symbol("c"), 8);
ex e;
e = color_ONE();
e = color_T(a) * color_T(b) * color_T(c);
result += check_equal(color_trace(e), color_h(a, b, c) / 4);
+ e = color_ONE(0) * color_ONE(1) / 9;
+ result += check_equal(color_trace(e, 0), color_ONE(1) / 3);
+ result += check_equal(color_trace(e, 1), color_ONE(0) / 3);
+ result += check_equal(color_trace(e, 2), e);
+ result += check_equal(color_trace(e, lst{0, 1}), 1);
+
+ e = color_T(a, 0) * color_T(a, 1) * color_T(b, 0) * color_T(b, 1);
+ result += check_equal_simplify(color_trace(e, 0), 2 * color_ONE(1) / 3);
+ result += check_equal_simplify(color_trace(e, 1), 2 * color_ONE(0) / 3);
+ result += check_equal_simplify(color_trace(e, 2), e);
+ result += check_equal_simplify(color_trace(e, lst{0, 1}), 2);
+
return result;
}
-unsigned exam_color(void)
+unsigned exam_color()
{
unsigned result = 0;
cout << "examining color objects" << flush;
- clog << "----------color objects:" << endl;
result += color_check1(); cout << '.' << flush;
result += color_check2(); cout << '.' << flush;
result += color_check3(); cout << '.' << flush;
- if (!result) {
- cout << " passed " << endl;
- clog << "(no output)" << endl;
- } else {
- cout << " failed " << endl;
- }
-
return result;
}
+
+int main(int argc, char** argv)
+{
+ return exam_color();
+}