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

41 lines
889 B
C++

#include "nr.h"
void NR::simpr(Vec_I_DP &y, Vec_I_DP &dydx, Vec_I_DP &dfdx, Mat_I_DP &dfdy,
const DP xs, const DP htot, const int nstep, Vec_O_DP &yout,
void derivs(const DP, Vec_I_DP &, Vec_O_DP &))
{
int i,j,nn;
DP d,h,x;
int n=y.size();
Mat_DP a(n,n);
Vec_INT indx(n);
Vec_DP del(n),ytemp(n);
h=htot/nstep;
for (i=0;i<n;i++) {
for (j=0;j<n;j++) a[i][j] = -h*dfdy[i][j];
++a[i][i];
}
ludcmp(a,indx,d);
for (i=0;i<n;i++)
yout[i]=h*(dydx[i]+h*dfdx[i]);
lubksb(a,indx,yout);
for (i=0;i<n;i++)
ytemp[i]=y[i]+(del[i]=yout[i]);
x=xs+h;
derivs(x,ytemp,yout);
for (nn=2;nn<=nstep;nn++) {
for (i=0;i<n;i++)
yout[i]=h*yout[i]-del[i];
lubksb(a,indx,yout);
for (i=0;i<n;i++) ytemp[i] += (del[i] += 2.0*yout[i]);
x += h;
derivs(x,ytemp,yout);
}
for (i=0;i<n;i++)
yout[i]=h*yout[i]-del[i];
lubksb(a,indx,yout);
for (i=0;i<n;i++)
yout[i] += ytemp[i];
}