--- /dev/null
+/** @file exam_misc.cpp
+ *
+ */
+
+/*
+ * GiNaC Copyright (C) 1999-2015 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
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ */
+
+#include "ginac.h"
+using namespace GiNaC;
+
+#include <iostream>
+using namespace std;
+
+/* Exam real/imaginary part of polynomials. */
+static unsigned exam_polynomials()
+{
+ realsymbol a("a"), b("b");
+ ex e = pow(a + I*b,3).expand() + I;
+
+ if (e.real_part() != pow(a,3)-3*a*pow(b,2) ||
+ e.imag_part() != 1+3*pow(a,2)*b-pow(b,3)) {
+ clog << "real / imaginary part miscomputed" << endl;
+ return 1;
+ }
+ return 0;
+}
+
+/* Exam symbolic expansion of nested expression. */
+static unsigned exam_monster()
+{
+ // This little monster is inspired by Sage's Symbench R1.
+ // It is much more aggressive that the original and covers more code.
+ struct { // C++ doesn't have nested functions...
+ ex operator()(const ex & z) {
+ return sqrt(ex(1)/3) * pow(z, 11) - I / pow(2*z, 3);
+ }
+ } f;
+ ex monster = f(f(f(f(I/2)))); // grows exponentially with number of nestings..
+ ex r = real_part(monster);
+ ex i = imag_part(monster);
+
+ // Check with precomputed result
+ double r_eps = ex_to<numeric>(evalf(r)).to_double() - 0.2000570104163233;
+ double i_eps = ex_to<numeric>(evalf(i)).to_double() - 0.5284320312415462;
+ if (abs(r_eps) > 1e-9 || abs(i_eps) > 1e-9) {
+ clog << "iterated function was miscomputed" << endl;
+ return 1;
+ }
+ return 0;
+}
+
+unsigned exam_real_imag()
+{
+ unsigned result = 0;
+
+ cout << "examining real/imaginary part separation" << flush;
+
+ result += exam_polynomials(); cout << '.' << flush;
+ result += exam_monster(); cout << '.' << flush;
+
+ return result;
+}
+
+int main(int argc, char** argv)
+{
+ return exam_real_imag();
+}