1 files changed, 70 insertions, 0 deletions
diff --git a/tests/EquationSystem-Vector.cpp b/tests/EquationSystem-Vector.cpp
new file mode 100644
index 0000000..b121026
--- /dev/null
+++ b/tests/EquationSystem-Vector.cpp
@@ -0,0 +1,70 @@
+/*************************************************************************
+ * Copyright (C) 2010 Tavian Barnes <tavianator@gmail.com>               *
+ *                                                                       *
+ * This file is part of The vZ Test Suite.                               *
+ *                                                                       *
+ * The vZ Test Suite 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 3 of the    *
+ * License, or (at your option) any later version.                       *
+ *                                                                       *
+ * The vZ Test Suite 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, see <http://www.gnu.org/licenses/>. *
+ *************************************************************************/
+
+#include "vZ.hpp"
+#include <cmath>
+#include <cstdlib>
+#include <iostream>
+#include <iomanip>
+
+typedef vZ::EquationSystem<2, vZ::Vector<2> > Y;
+
+// y'' = -(|y'|^2/|y|)*(y/|y|) (circular motion)
+Y
+f(double t, Y y)
+{
+  Y r;
+  r[0] = y[1];
+  r[1] = -(dot(y[1], y[1])*y[0])/(dot(y[0], y[0]));
+  return r;
+}
+
+int
+main()
+{
+  Y y;
+  y[0] = vZ::Vector<2>(0.0, 1.0);
+  y[1] = vZ::Vector<2>(8*std::atan(1.0), 0.0);
+  vZ::GenericDP45Integrator<Y> integrator(f);
+  integrator.tol(1e-6)
+            .y(y)
+            .x(0.0)
+            .h(0.06);
+
+  integrator.integrate(2.0);
+
+  vZ::Vector<2> actual = integrator.y()[0];
+  vZ::Vector<2> expected(0.0, 1.0);
+
+  std::cout << std::setprecision(10)
+            << "Numerical:  " << actual << std::endl
+            << "Expected:   " << expected  << std::endl
+            << "h:          " << integrator.h() << std::endl
+            << "Iterations: " << integrator.iterations() << std::endl
+            << "Rejections: " << integrator.rejections() << std::endl;
+
+  double error = norm(expected - actual)/norm(expected);
+  if (error > 4.0e-6) {
+    std::cerr << "Error:      " << 100.0*error << "%" << std::endl;
+    return EXIT_FAILURE;
+  } else {
+    std::cout << "Error:      " << 100.0*error << "%" << std::endl;
+    return EXIT_SUCCESS;
+  }
+}