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Yohai Meiron 2020-04-09 20:36:47 -04:00
commit 4a0ee77276
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#include <iostream>
#include <string>
#include <vector>
#include <fstream>
#include <numeric>
#include <gsl/gsl_errno.h>
#include <gsl/gsl_math.h>
#include <gsl/gsl_odeiv2.h>
#include <gsl/gsl_spline.h>
extern "C" const int gsl_success() { return GSL_SUCCESS; } // It's zero, but just for clarity sake.
// Our units are {kiloparsec, solar mass, gigayear}
constexpr double G = 4.498317481097514e-06;
class Interp {
public:
Interp(std::vector<double>& x, std::vector<double>& y)
{
acc = gsl_interp_accel_alloc();
spline = gsl_spline_alloc(gsl_interp_cspline, x.size());
gsl_spline_init(spline, x.data(), y.data(), x.size());
}
inline double operator()(double x) const
{
return gsl_spline_eval(spline, x, acc);
}
private:
gsl_interp_accel *acc;
gsl_spline *spline;
};
class Plummer {
public:
Plummer(double M, double b)
: M(M), b(b) {}
void calc_acceleration(const double *pos, double *acc)
{
double r2 = (pos[0]*pos[0] + pos[1]*pos[1] + pos[2]*pos[2] + b*b);
double r = sqrt(r2);
double r3_inv = 1/(r*r2);
acc[0] = G*M*pos[0]*r3_inv;
acc[1] = G*M*pos[1]*r3_inv;
acc[2] = G*M*pos[2]*r3_inv;
}
private:
double M, b;
};
class Galaxy {
public:
Galaxy(std::string file_name)
{
std::vector<double> t, M_bulge_data, b_bulge_data;
t.push_back(0);
t.push_back(1);
t.push_back(2);
M_bulge_data.push_back(9e9);
M_bulge_data.push_back(1e10);
M_bulge_data.push_back(2e10);
interp_M_bulge = new Interp(t, M_bulge_data);
std::cout << "exiting..." << std::endl;
exit(0);
}
int func(double t, const double y[], double f[], void *params)
{
double M_bulge = (*interp_M_bulge)(t);
Plummer plummer(M_bulge, 0);
f[0] = y[3]; // vx -> x'
f[1] = y[4]; // vy -> y'
f[2] = y[5]; // vz -> z'
plummer.calc_acceleration(y, f+3); // a -> v'
return GSL_SUCCESS;
}
private:
Interp *interp_M_bulge;
Interp *interp_b_bulge;
} galaxy("file.dat");
// Not very nice to have it as a global variable but GSL will have problem otherwise.
int jac(double t, const double y[], double *dfdy, double dfdt[], void *params)
{
return GSL_SUCCESS;
}
int func(double t, const double y[], double f[], void *params)
{
return galaxy.func(t, y, f, params);
}
extern "C"
int integrate(const double y0[], const double t_max, double y[])
{
double t = 0;
constexpr double h = 1./4096.;
constexpr double epsabs = 1e-7;
constexpr double epsrel = 0;
const gsl_odeiv2_step_type *T = gsl_odeiv2_step_rk8pd;
gsl_odeiv2_step *s = gsl_odeiv2_step_alloc(T, 6);
gsl_odeiv2_evolve *e = gsl_odeiv2_evolve_alloc(6);
gsl_odeiv2_control *c = gsl_odeiv2_control_y_new(epsabs, 0);
gsl_odeiv2_system sys = {func, jac, 6, nullptr};
gsl_odeiv2_driver *d = gsl_odeiv2_driver_alloc_y_new(&sys, T, h, epsabs, epsrel);
std::copy(y0, y0+6, y);
int status = gsl_odeiv2_driver_apply(d, &t, t_max, y);
return status;
}
int main()
{
std::cout << "bye" << std::endl;
}