Squashed 'third_party/boostorg/odeint/' content from commit 6ff2719
Change-Id: If4892e29c1a5e6cf3a7aa51486a2725c251b0c7d
git-subtree-dir: third_party/boostorg/odeint
git-subtree-split: 6ff2719b6907b86596c3d43e88c1bcfdf29df560
diff --git a/test/implicit_euler.cpp b/test/implicit_euler.cpp
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--- /dev/null
+++ b/test/implicit_euler.cpp
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+/*
+ [auto_generated]
+ libs/numeric/odeint/test/implicit_euler.cpp
+
+ [begin_description]
+ This file tests the implicit Euler stepper.
+ [end_description]
+
+ Copyright 2010-2011 Mario Mulansky
+ Copyright 2010-2012 Karsten Ahnert
+
+ Distributed under the Boost Software License, Version 1.0.
+ (See accompanying file LICENSE_1_0.txt or
+ copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+
+// disable checked iterator warning for msvc
+#include <boost/config.hpp>
+#ifdef BOOST_MSVC
+ #pragma warning(disable:4996)
+#endif
+
+#define BOOST_TEST_MODULE odeint_implicit_euler
+
+#include <boost/test/unit_test.hpp>
+
+#include <utility>
+#include <iostream>
+
+#include <boost/numeric/odeint/stepper/implicit_euler.hpp>
+//#include <boost/numeric/odeint/util/ublas_resize.hpp>
+
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/numeric/ublas/matrix.hpp>
+
+using namespace boost::unit_test;
+using namespace boost::numeric::odeint;
+
+typedef double value_type;
+typedef boost::numeric::ublas::vector< value_type > state_type;
+typedef boost::numeric::ublas::matrix< value_type > matrix_type;
+
+/* use functors, because functions don't work with msvc 10, I guess this is a bug */
+struct sys
+{
+ void operator()( const state_type &x , state_type &dxdt , const value_type t ) const
+ {
+ dxdt( 0 ) = x( 0 ) + 2 * x( 1 );
+ dxdt( 1 ) = x( 1 );
+ }
+};
+
+struct jacobi
+{
+ void operator()( const state_type &x , matrix_type &jacobi , const value_type t ) const
+ {
+ jacobi( 0 , 0 ) = 1;
+ jacobi( 0 , 1 ) = 2;
+ jacobi( 1 , 0 ) = 0;
+ jacobi( 1 , 1 ) = 1;
+ }
+};
+
+BOOST_AUTO_TEST_SUITE( implicit_euler_test )
+
+BOOST_AUTO_TEST_CASE( test_euler )
+{
+ implicit_euler< value_type > stepper;
+ state_type x( 2 );
+ x(0) = 0.0; x(1) = 1.0;
+
+ value_type eps = 1E-12;
+
+ /* make_pair doesn't work with function pointers on msvc 10 */
+ stepper.do_step( std::make_pair( sys() , jacobi() ) , x , 0.0 , 0.1 );
+
+ using std::abs;
+
+ // compare with analytic solution of above system
+ BOOST_CHECK_MESSAGE( abs( x(0) - 20.0/81.0 ) < eps , x(0) - 20.0/81.0 );
+ BOOST_CHECK_MESSAGE( abs( x(1) - 10.0/9.0 ) < eps , x(0) - 10.0/9.0 );
+
+}
+
+BOOST_AUTO_TEST_SUITE_END()