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/adams_bashforth_moulton.cpp b/test/adams_bashforth_moulton.cpp
new file mode 100644
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+++ b/test/adams_bashforth_moulton.cpp
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+/*
+ [auto_generated]
+ libs/numeric/odeint/test/adams_bashforth_moulton.cpp
+
+ [begin_description]
+ This file tests the use of the Adams-Bashforth-Moulton.
+ [end_description]
+
+ Copyright 2011-2012 Karsten Ahnert
+ Copyright 2011 Mario Mulansky
+
+ 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)
+ */
+
+#define BOOST_TEST_MODULE odeint_adams_bashforth_moulton
+
+#include <utility>
+
+#include <boost/test/unit_test.hpp>
+
+#include <boost/mpl/list.hpp>
+#include <boost/mpl/size_t.hpp>
+#include <boost/mpl/range_c.hpp>
+
+#include <boost/numeric/odeint/stepper/adams_bashforth_moulton.hpp>
+
+using namespace boost::unit_test;
+using namespace boost::numeric::odeint;
+
+typedef double value_type;
+
+struct lorenz
+{
+    template< class State , class Deriv , class Value >
+    void operator()( const State &_x , Deriv &_dxdt , const Value &dt ) const
+    {
+        const value_type sigma = 10.0;
+        const value_type R = 28.0;
+        const value_type b = 8.0 / 3.0;
+
+        typename boost::range_iterator< const State >::type x = boost::begin( _x );
+        typename boost::range_iterator< Deriv >::type dxdt = boost::begin( _dxdt );
+
+        dxdt[0] = sigma * ( x[1] - x[0] );
+        dxdt[1] = R * x[0] - x[1] - x[0] * x[2];
+        dxdt[2] = x[0]*x[1] - b * x[2];
+    }
+};
+
+BOOST_AUTO_TEST_SUITE( adams_bashforth_moulton_test )
+
+typedef boost::mpl::range_c< size_t , 1 , 6 > vector_of_steps;
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_init_and_steps , step_type , vector_of_steps )
+{
+    const static size_t steps = step_type::value;
+    typedef boost::array< value_type , 3 > state_type;
+
+    adams_bashforth_moulton< steps , state_type > stepper;
+    state_type x = {{ 10.0 , 10.0 , 10.0 }};
+    const value_type dt = 0.01;
+    value_type t = 0.0;
+
+    stepper.initialize( lorenz() , x , t , dt );
+    BOOST_CHECK_CLOSE( t , value_type( steps - 1 ) * dt , 1.0e-14 );
+
+    stepper.do_step( lorenz() , x , t , dt );
+}
+
+
+BOOST_AUTO_TEST_CASE( test_copying )
+{
+    typedef boost::array< double , 1 > state_type;
+    typedef adams_bashforth_moulton< 2 , state_type > stepper_type;
+
+    stepper_type s1;
+
+    stepper_type s2( s1 );
+
+    stepper_type s3;
+    s3 = s1;
+ }
+
+
+BOOST_AUTO_TEST_CASE( test_instantiation )
+{
+    typedef boost::array< double , 3 > state_type;
+    adams_bashforth_moulton< 1 , state_type > s1;
+    adams_bashforth_moulton< 2 , state_type > s2;
+    adams_bashforth_moulton< 3 , state_type > s3;
+    adams_bashforth_moulton< 4 , state_type > s4;
+    adams_bashforth_moulton< 5 , state_type > s5;
+    adams_bashforth_moulton< 6 , state_type > s6;
+    adams_bashforth_moulton< 7 , state_type > s7;
+    adams_bashforth_moulton< 8 , state_type > s8;
+
+    state_type x = {{ 10.0 , 10.0 , 10.0 }};
+    value_type t = 0.0 , dt = 0.01;
+    s1.do_step( lorenz() , x , t , dt );
+    s2.do_step( lorenz() , x , t , dt );
+    s3.do_step( lorenz() , x , t , dt );
+    s4.do_step( lorenz() , x , t , dt );
+    s5.do_step( lorenz() , x , t , dt );
+    s6.do_step( lorenz() , x , t , dt );
+//    s7.do_step( lorenz() , x , t , dt );
+//    s8.do_step( lorenz() , x , t , dt );
+}
+
+
+BOOST_AUTO_TEST_SUITE_END()