Files
2025-02-Numerical/lib/nr/cpp/recipes/odeint.cpp
2025-09-12 18:55:25 +09:00

55 lines
1.4 KiB
C++

#include <cmath>
#include "nr.h"
using namespace std;
extern DP dxsav;
extern int kmax,kount;
extern Vec_DP *xp_p;
extern Mat_DP *yp_p;
void NR::odeint(Vec_IO_DP &ystart, const DP x1, const DP x2, const DP eps,
const DP h1, const DP hmin, int &nok, int &nbad,
void derivs(const DP, Vec_I_DP &, Vec_O_DP &),
void rkqs(Vec_IO_DP &, Vec_IO_DP &, DP &, const DP, const DP,
Vec_I_DP &, DP &, DP &, void (*)(const DP, Vec_I_DP &, Vec_O_DP &)))
{
const int MAXSTP=10000;
const DP TINY=1.0e-30;
int i,nstp;
DP xsav,x,hnext,hdid,h;
int nvar=ystart.size();
Vec_DP yscal(nvar),y(nvar),dydx(nvar);
Vec_DP &xp=*xp_p;
Mat_DP &yp=*yp_p;
x=x1;
h=SIGN(h1,x2-x1);
nok = nbad = kount = 0;
for (i=0;i<nvar;i++) y[i]=ystart[i];
if (kmax > 0) xsav=x-dxsav*2.0;
for (nstp=0;nstp<MAXSTP;nstp++) {
derivs(x,y,dydx);
for (i=0;i<nvar;i++)
yscal[i]=fabs(y[i])+fabs(dydx[i]*h)+TINY;
if (kmax > 0 && kount < kmax-1 && fabs(x-xsav) > fabs(dxsav)) {
for (i=0;i<nvar;i++) yp[i][kount]=y[i];
xp[kount++]=x;
xsav=x;
}
if ((x+h-x2)*(x+h-x1) > 0.0) h=x2-x;
rkqs(y,dydx,x,h,eps,yscal,hdid,hnext,derivs);
if (hdid == h) ++nok; else ++nbad;
if ((x-x2)*(x2-x1) >= 0.0) {
for (i=0;i<nvar;i++) ystart[i]=y[i];
if (kmax != 0) {
for (i=0;i<nvar;i++) yp[i][kount]=y[i];
xp[kount++]=x;
}
return;
}
if (fabs(hnext) <= hmin) nrerror("Step size too small in odeint");
h=hnext;
}
nrerror("Too many steps in routine odeint");
}