mirror of
https://github.com/saitohirga/WSJT-X.git
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152 lines
4.0 KiB
C++
152 lines
4.0 KiB
C++
/*
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[auto_generated]
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libs/numeric/odeint/examples/black_hole.cpp
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[begin_description]
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This example shows how the __float128 from gcc libquadmath can be used with odeint.
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[end_description]
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Copyright 2012 Karsten Ahnert
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Copyright 2012 Lee Hodgkinson
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Copyright 2012 Mario Mulansky
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Distributed under the Boost Software License, Version 1.0.
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(See accompanying file LICENSE_1_0.txt or
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copy at http://www.boost.org/LICENSE_1_0.txt)
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*/
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#include <cstdlib>
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#include <cmath>
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#include <iostream>
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#include <iterator>
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#include <utility>
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#include <algorithm>
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#include <cassert>
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#include <vector>
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#include <complex>
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extern "C" {
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#include <quadmath.h>
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}
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const __float128 zero =strtoflt128 ("0.0", NULL);
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namespace std {
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inline __float128 abs( __float128 x )
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{
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return fabsq( x );
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}
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inline __float128 sqrt( __float128 x )
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{
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return sqrtq( x );
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}
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inline __float128 pow( __float128 x , __float128 y )
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{
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return powq( x , y );
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}
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inline __float128 abs( std::complex< __float128 > x )
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{
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return sqrtq( x.real() * x.real() + x.imag() * x.imag() );
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}
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inline std::complex< __float128 > pow( std::complex< __float128> x , __float128 y )
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{
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__float128 r = pow( abs(x) , y );
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__float128 phi = atanq( x.imag() / x.real() );
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return std::complex< __float128 >( r * cosq( y * phi ) , r * sinq( y * phi ) );
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}
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}
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inline std::ostream& operator<< (std::ostream& os, const __float128& f) {
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char* y = new char[1000];
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quadmath_snprintf(y, 1000, "%.30Qg", f) ;
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os.precision(30);
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os<<y;
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delete[] y;
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return os;
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}
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#include <boost/array.hpp>
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#include <boost/range/algorithm.hpp>
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#include <boost/range/adaptor/filtered.hpp>
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#include <boost/range/numeric.hpp>
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#include <boost/numeric/odeint.hpp>
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using namespace boost::numeric::odeint;
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using namespace std;
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typedef __float128 my_float;
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typedef std::vector< std::complex < my_float > > state_type;
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struct radMod
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{
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my_float m_om;
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my_float m_l;
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radMod( my_float om , my_float l )
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: m_om( om ) , m_l( l ) { }
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void operator()( const state_type &x , state_type &dxdt , my_float r ) const
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{
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dxdt[0] = x[1];
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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];
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}
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};
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int main( int argc , char **argv )
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{
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state_type x(2);
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my_float re0 = strtoflt128( "-0.00008944230755601224204687038354994353820468" , NULL );
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my_float im0 = strtoflt128( "0.00004472229441850588228136889483397204368247" , NULL );
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my_float re1 = strtoflt128( "-4.464175354293244250869336196695966076150E-6 " , NULL );
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my_float im1 = strtoflt128( "-8.950483248390306670770345406051469584488E-6" , NULL );
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x[0] = complex< my_float >( re0 ,im0 );
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x[1] = complex< my_float >( re1 ,im1 );
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const my_float dt =strtoflt128 ("-0.001", NULL);
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const my_float start =strtoflt128 ("10000.0", NULL);
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const my_float end =strtoflt128 ("9990.0", NULL);
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const my_float omega =strtoflt128 ("2.0", NULL);
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const my_float ell =strtoflt128 ("1.0", NULL);
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my_float abs_err = strtoflt128( "1.0E-15" , NULL ) , rel_err = strtoflt128( "1.0E-10" , NULL );
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my_float a_x = strtoflt128( "1.0" , NULL ) , a_dxdt = strtoflt128( "1.0" , NULL );
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typedef runge_kutta_dopri5< state_type, my_float > dopri5_type;
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typedef controlled_runge_kutta< dopri5_type > controlled_dopri5_type;
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typedef dense_output_runge_kutta< controlled_dopri5_type > dense_output_dopri5_type;
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dense_output_dopri5_type dopri5( controlled_dopri5_type( default_error_checker< my_float >( abs_err , rel_err , a_x , a_dxdt ) ) );
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std::for_each( make_adaptive_time_iterator_begin(dopri5 , radMod(omega , ell) , x , start , end , dt) ,
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make_adaptive_time_iterator_end(dopri5 , radMod(omega , ell) , x ) ,
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[]( const std::pair< state_type&, my_float > &x ) {
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std::cout << x.second << ", " << x.first[0].real() << "\n"; }
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);
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return 0;
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}
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