Squashed 'boost/' content from commit b4feb19f2

git-subtree-dir: boost
git-subtree-split: b4feb19f287ee92d87a9624b5d36b7cf46aeadeb

libs/numeric/odeint/examples/quadmath/Jamfile.v2

@@ -0,0 +1,16 @@
+# Copyright 2011 Mario Mulansky
+# Copyright 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)
+
+
+project
+    : requirements 
+      <define>BOOST_ALL_NO_LIB=1
+    : 
+    ;
+    
+lib quadmath : : <name>quadmath <link>shared ;
+
+exe black_hole : black_hole.cpp quadmath : <cxxflags>-std=c++0x ;

libs/numeric/odeint/examples/quadmath/black_hole.cpp

@@ -0,0 +1,151 @@
+/*
+ [auto_generated]
+ libs/numeric/odeint/examples/black_hole.cpp
+
+ [begin_description]
+ This example shows how the __float128 from gcc libquadmath can be used with odeint.
+ [end_description]
+
+ Copyright 2012 Karsten Ahnert
+ Copyright 2012 Lee Hodgkinson
+ Copyright 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 <cstdlib>
+#include <cmath>
+#include <iostream>
+#include <iterator>
+#include <utility>
+#include <algorithm>
+#include <cassert>
+#include <vector>
+#include <complex>
+
+extern "C" {
+#include <quadmath.h>
+}
+
+const __float128 zero =strtoflt128 ("0.0", NULL);
+
+namespace std {
+
+    inline __float128 abs( __float128 x )
+    {
+        return fabsq( x );
+    }
+
+    inline __float128 sqrt( __float128 x )
+    {
+        return sqrtq( x );
+    }
+
+    inline __float128 pow( __float128 x , __float128 y )
+    {
+        return powq( x , y );
+    }
+
+    inline __float128 abs( std::complex< __float128 > x )
+    {
+        return sqrtq( x.real() * x.real() + x.imag() * x.imag() );
+    }
+
+    inline std::complex< __float128 > pow( std::complex< __float128> x , __float128 y )
+    {
+        __float128 r = pow( abs(x) , y );
+        __float128 phi = atanq( x.imag() / x.real() );
+        return std::complex< __float128 >( r * cosq( y * phi ) , r * sinq( y * phi ) );
+    }
+}
+
+inline std::ostream& operator<< (std::ostream& os, const __float128& f) {
+
+    char* y = new char[1000];
+    quadmath_snprintf(y, 1000, "%.30Qg", f) ;
+    os.precision(30);
+    os<<y;
+    delete[] y;
+    return os;
+}
+
+
+#include <boost/array.hpp>
+#include <boost/range/algorithm.hpp>
+#include <boost/range/adaptor/filtered.hpp>
+#include <boost/range/numeric.hpp>
+#include <boost/numeric/odeint.hpp>
+
+
+
+using namespace boost::numeric::odeint;
+using namespace std;
+
+typedef __float128 my_float;
+typedef std::vector< std::complex < my_float > > state_type;
+
+struct radMod
+{
+    my_float m_om;
+    my_float m_l;
+
+    radMod( my_float om , my_float l )
+        : m_om( om ) , m_l( l ) { }
+
+    void operator()( const state_type &x , state_type &dxdt , my_float r ) const
+    {
+
+        dxdt[0] = x[1];
+        dxdt[1] = -(2*(r-1)/(r*(r-2)))*x[1]-((m_om*m_om*r*r/((r-2)*(r-2)))-(m_l*(m_l+1)/(r*(r-2))))*x[0];
+    }
+};
+
+
+
+
+
+
+
+int main( int argc , char **argv )
+{
+
+
+    state_type x(2);
+
+    my_float re0 = strtoflt128( "-0.00008944230755601224204687038354994353820468" , NULL );
+    my_float im0 = strtoflt128( "0.00004472229441850588228136889483397204368247" , NULL );
+    my_float re1 = strtoflt128( "-4.464175354293244250869336196695966076150E-6 " , NULL );
+    my_float im1 = strtoflt128( "-8.950483248390306670770345406051469584488E-6" , NULL );
+
+    x[0] = complex< my_float >( re0 ,im0 );
+    x[1] = complex< my_float >( re1 ,im1 );
+
+    const my_float dt =strtoflt128 ("-0.001", NULL);
+    const my_float start =strtoflt128 ("10000.0", NULL);
+    const my_float end =strtoflt128 ("9990.0", NULL);
+    const my_float omega =strtoflt128 ("2.0", NULL);
+    const my_float ell =strtoflt128 ("1.0", NULL);
+
+
+
+    my_float abs_err = strtoflt128( "1.0E-15" , NULL ) , rel_err = strtoflt128( "1.0E-10" , NULL );
+    my_float a_x = strtoflt128( "1.0" , NULL ) , a_dxdt = strtoflt128( "1.0" , NULL );
+
+    typedef runge_kutta_dopri5< state_type, my_float > dopri5_type;
+    typedef controlled_runge_kutta< dopri5_type > controlled_dopri5_type;
+    typedef dense_output_runge_kutta< controlled_dopri5_type > dense_output_dopri5_type;
+    
+    dense_output_dopri5_type dopri5( controlled_dopri5_type( default_error_checker< my_float >( abs_err , rel_err , a_x , a_dxdt ) ) );
+
+    std::for_each( make_adaptive_time_iterator_begin(dopri5 , radMod(omega , ell) , x , start , end , dt) ,
+                   make_adaptive_time_iterator_end(dopri5 , radMod(omega , ell) , x ) ,
+                   []( const std::pair< state_type&, my_float > &x ) {
+                       std::cout << x.second << ", " << x.first[0].real() << "\n"; }
+        );
+
+
+
+    return 0;
+}