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authorTavian Barnes <tavianator@gmail.com>2010-10-11 19:01:41 -0400
committerTavian Barnes <tavianator@gmail.com>2010-10-11 19:01:41 -0400
commitdbd081ad1808d4e8550dd23971b60b862c7904e0 (patch)
treed11b86a290b3e85bc3012630678ea8b0ca99c187
parent7a66711e95a97b3389a29b09aaead8cb18126e80 (diff)
downloadvz-dbd081ad1808d4e8550dd23971b60b862c7904e0.tar.xz
Add a test for a system of vector equations.
-rw-r--r--src/vZ/Vector.hpp14
-rw-r--r--tests/EquationSystem-Vector.cpp70
-rw-r--r--tests/Makefile.am26
3 files changed, 98 insertions, 12 deletions
diff --git a/src/vZ/Vector.hpp b/src/vZ/Vector.hpp
index 66b9a68..0f5cf49 100644
--- a/src/vZ/Vector.hpp
+++ b/src/vZ/Vector.hpp
@@ -24,6 +24,7 @@
#include <algorithm>
#include <cmath>
#include <cstddef>
+#include <ostream>
namespace vZ
{
@@ -182,6 +183,19 @@ namespace vZ
lhs.x()*rhs.y() - lhs.y()*rhs.x());
}
+ // Stream output
+
+ template <std::size_t N, typename T>
+ std::ostream&
+ operator<<(std::ostream& ostr, const Vector<N, T>& v)
+ {
+ ostr << "(" << v[0];
+ for (std::size_t i = 1; i < N; ++i) {
+ ostr << ", " << v[i];
+ }
+ return ostr << ")";
+ }
+
// Implementation
template <std::size_t N, typename T>
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;
+ }
+}
diff --git a/tests/Makefile.am b/tests/Makefile.am
index d072e35..2091b15 100644
--- a/tests/Makefile.am
+++ b/tests/Makefile.am
@@ -29,17 +29,19 @@ check_PROGRAMS = Euler-test \
CK45-test \
DP45-test \
Vector-test \
- EquationSystem-test
+ EquationSystem-test \
+ EquationSystem-Vector-test
TESTS = $(check_PROGRAMS)
-Euler_test_SOURCES = Euler.cpp
-Midpoint_test_SOURCES = Midpoint.cpp
-Heun_test_SOURCES = Heun.cpp
-RK4_test_SOURCES = RK4.cpp
-HE12_test_SOURCES = HE12.cpp
-BS23_test_SOURCES = BS23.cpp
-RKF45_test_SOURCES = RKF45.cpp
-CK45_test_SOURCES = CK45.cpp
-DP45_test_SOURCES = DP45.cpp
-Vector_test_SOURCES = Vector.cpp
-EquationSystem_test_SOURCES = EquationSystem.cpp
+Euler_test_SOURCES = Euler.cpp
+Midpoint_test_SOURCES = Midpoint.cpp
+Heun_test_SOURCES = Heun.cpp
+RK4_test_SOURCES = RK4.cpp
+HE12_test_SOURCES = HE12.cpp
+BS23_test_SOURCES = BS23.cpp
+RKF45_test_SOURCES = RKF45.cpp
+CK45_test_SOURCES = CK45.cpp
+DP45_test_SOURCES = DP45.cpp
+Vector_test_SOURCES = Vector.cpp
+EquationSystem_test_SOURCES = EquationSystem.cpp
+EquationSystem_Vector_test_SOURCES = EquationSystem-Vector.cpp