log(-<realnumber>) now returns a real number

[ginac.git] / check / exam_color.cpp

diff --git a/check/exam_color.cpp b/check/exam_color.cpp
index 3097188bcea8a41cc2b74c44fc26f58b8d3319b3..a3e972add6f1633a383e16f51b39516447eecf46 100644 (file)
--- a/check/exam_color.cpp
+++ b/check/exam_color.cpp
@@ -3,7 +3,7 @@
  *  Here we test GiNaC's color objects (su(3) Lie algebra). */
 
 /*
- *  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
@@ -44,15 +44,14 @@ static unsigned check_equal_simplify(const ex &e1, const ex &e2)
        return 0;
 }
 
-static unsigned color_check1(void)
+static unsigned color_check1()
 {
-       // checks general identities and contractions
+       // checks general identities and contractions of the structure constants
 
        unsigned result = 0;
 
        idx a(symbol("a"), 8), b(symbol("b"), 8), c(symbol("c"), 8), d(symbol("d"), 8);
 
-       // structure constants
        result += check_equal(color_d(a, c, a), 0);
        result += check_equal_simplify(color_d(a, b, c) * color_d(b, d, c), numeric(5,3) * delta_tensor(a, d));
        result += check_equal_simplify(color_d(idx(5, 8), b, c) * color_d(b, idx(5, 8), c), numeric(5,3));
@@ -79,7 +78,69 @@ static unsigned color_check1(void)
        return result;
 }
 
-unsigned exam_color(void)
+static unsigned color_check2()
+{
+       // checks general identities and contractions of the generators
+
+       unsigned result = 0;
+
+       idx a(symbol("a"), 8), b(symbol("b"), 8), c(symbol("c"), 8), k(symbol("k"), 8);
+       ex e;
+
+       e = color_T(k) * color_T(k);
+       result += check_equal_simplify(e, 4 * color_ONE() / 3);
+       e = color_T(k) * color_T(a) * color_T(k);
+       result += check_equal_simplify(e, -color_T(a) / 6);
+       e = color_T(k) * color_T(a) * color_T(b) *  color_T(k);
+       result += check_equal_simplify(e, delta_tensor(a, b) * color_ONE() / 4 - color_T(a) * color_T(b) / 6);
+       e = color_T(k) * color_T(a) * color_T(b) *  color_T(c) * color_T(k);
+       result += check_equal_simplify(e, (color_h(a, b, c) * color_ONE() / 8).expand() - color_T(a) * color_T(b) * color_T(c) / 6);
+       e = color_T(a) * color_T(b) * color_T(a) *  color_T(b);
+       result += check_equal_simplify(e, -2 * color_ONE() / 9);
+       e = color_T(a) * color_T(b) * color_T(b) *  color_T(a);
+       result += check_equal_simplify(e, 16 * color_ONE() / 9);
+       e = color_T(a) * color_T(b) * color_T(c) * color_T(c) * color_T(b) *  color_T(a);
+       result += check_equal_simplify(e, 64 * color_ONE() / 27);
+       e = color_T(a) * color_T(b) * color_T(c) * color_T(k) * color_T(a) * color_T(k) *  color_T(c) * color_T(b);
+       result += check_equal_simplify(e, -color_ONE() / 162);
+
+       return result;
+}
+
+static unsigned color_check3()
+{
+       // checks traces
+
+       unsigned result = 0;
+
+       idx a(symbol("a"), 8), b(symbol("b"), 8), c(symbol("c"), 8);
+       ex e;
+
+       e = color_ONE();
+       result += check_equal(color_trace(e), 3);
+       e = color_T(a);
+       result += check_equal(color_trace(e), 0);
+       e = color_T(a) * color_T(b);
+       result += check_equal(color_trace(e), delta_tensor(a, b) / 2);
+       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()
 {
        unsigned result = 0;
        
@@ -87,6 +148,8 @@ unsigned exam_color(void)
        clog << "----------color objects:" << endl;
 
        result += color_check1();  cout << '.' << flush;
+       result += color_check2();  cout << '.' << flush;
+       result += color_check3();  cout << '.' << flush;
        
        if (!result) {
                cout << " passed " << endl;