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/examples/gmpxx/lorenz_gmpxx.cpp b/examples/gmpxx/lorenz_gmpxx.cpp
new file mode 100644
index 0000000..39b4c72
--- /dev/null
+++ b/examples/gmpxx/lorenz_gmpxx.cpp
@@ -0,0 +1,83 @@
+/*
+ * lorenz_gmpxx.cpp
+ *
+ * This example demonstrates how odeint can be used with arbitrary precision types.
+ *
+ * Copyright 2011-2012 Karsten Ahnert
+ * Copyright 2011-2012 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)
+ */
+
+
+
+#include <iostream>
+#include <boost/array.hpp>
+
+#include <gmpxx.h>
+
+#include <boost/numeric/odeint.hpp>
+
+using namespace std;
+using namespace boost::numeric::odeint;
+
+//[ gmpxx_lorenz
+typedef mpf_class value_type;
+typedef boost::array< value_type , 3 > state_type;
+
+struct lorenz
+{
+    void operator()( const state_type &x , state_type &dxdt , value_type t ) const
+    {
+        const value_type sigma( 10.0 );
+        const value_type R( 28.0 );
+        const value_type b( value_type( 8.0 ) / value_type( 3.0 ) );
+
+        dxdt[0] = sigma * ( x[1] - x[0] );
+        dxdt[1] = R * x[0] - x[1] - x[0] * x[2];
+        dxdt[2] = -b * x[2] + x[0] * x[1];
+    }
+};
+//]
+
+
+
+
+struct streaming_observer
+{
+    std::ostream& m_out;
+
+    streaming_observer( std::ostream &out ) : m_out( out ) { }
+
+    template< class State , class Time >
+    void operator()( const State &x , Time t ) const
+    {
+        m_out << t;
+        for( size_t i=0 ; i<x.size() ; ++i ) m_out << "\t" << x[i] ;
+        m_out << "\n";
+    }
+};
+
+
+
+
+
+
+int main( int argc , char **argv )
+{
+    //[ gmpxx_integration
+    const int precision = 1024;
+    mpf_set_default_prec( precision );
+
+    state_type x = {{ value_type( 10.0 ) , value_type( 10.0 ) , value_type( 10.0 ) }};
+
+    cout.precision( 1000 );
+    integrate_const( runge_kutta4< state_type , value_type >() ,
+            lorenz() , x , value_type( 0.0 ) , value_type( 10.0 ) , value_type( value_type( 1.0 ) / value_type( 10.0 ) ) ,
+            streaming_observer( cout ) );
+    //]
+
+    return 0;
+}