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authorTavian Barnes <tavianator@gmail.com>2010-10-06 23:42:05 -0400
committerTavian Barnes <tavianator@gmail.com>2010-10-06 23:42:05 -0400
commitae956bffbf796005e1f59a9c430cef69e21e13f6 (patch)
tree30f0add7251bdd0dc6f0ff9a5a5cb75ec71bc020 /tests
parente4857d7abd64993c18986b7b5f7e3b0c14eb27e0 (diff)
downloadvz-ae956bffbf796005e1f59a9c430cef69e21e13f6.tar.xz
Add RKF45 method.
Diffstat (limited to 'tests')
-rw-r--r--tests/Makefile.am4
-rw-r--r--tests/RKF45.cpp39
2 files changed, 42 insertions, 1 deletions
diff --git a/tests/Makefile.am b/tests/Makefile.am
index cab6d98..f6ad25e 100644
--- a/tests/Makefile.am
+++ b/tests/Makefile.am
@@ -24,7 +24,8 @@ check_PROGRAMS = Euler-test \
Heun-test \
RK4-test \
HE12-test \
- BS23-test
+ BS23-test \
+ RKF45-test
TESTS = $(check_PROGRAMS)
Euler_test_SOURCES = Euler.cpp
@@ -33,3 +34,4 @@ 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
diff --git a/tests/RKF45.cpp b/tests/RKF45.cpp
new file mode 100644
index 0000000..8b87216
--- /dev/null
+++ b/tests/RKF45.cpp
@@ -0,0 +1,39 @@
+#include "vZ.hpp"
+#include <cmath>
+#include <cstdlib>
+#include <iostream>
+#include <iomanip>
+
+// y' = y (y == C*exp(t))
+double
+f(double t, double y)
+{
+ return y;
+}
+
+int
+main()
+{
+ vZ::RKF45Integrator integrator(f);
+ integrator.tol(1e-6).y(1.0).x(0.0).h(0.06);
+
+ integrator.integrate(2.0);
+
+ double actual = integrator.y();
+ double expected = std::exp(2.0);
+
+ std::cout << std::setprecision(10)
+ << "Numerical: " << actual << std::endl
+ << "Expected: " << expected << std::endl
+ << "h: " << integrator.h() << std::endl
+ << "rejections: " << integrator.rejections() << std::endl;
+
+ double error = std::fabs(expected - actual)/expected;
+ if (error > 1.5e-6) {
+ std::cerr << "Error: " << 100.0*error << "%" << std::endl;
+ return EXIT_FAILURE;
+ } else {
+ std::cout << "Error: " << 100.0*error << "%" << std::endl;
+ return EXIT_SUCCESS;
+ }
+}