📄 mmid.c
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#include "nrutil.h"
void mmid(y,dydx,nvar,xs,htot,nstep,yout,derivs)
float dydx[],htot,xs,y[],yout[];
int nstep,nvar;
void (*derivs)();
{
int n,i;
float x,swap,h2,h,*ym,*yn;
ym=vector(1,nvar);
yn=vector(1,nvar);
h=htot/nstep;
for (i=1;i<=nvar;i++) {
ym[i]=y[i];
yn[i]=y[i]+h*dydx[i];
}
x=xs+h;
(*derivs)(x,yn,yout);
h2=2.0*h;
for (n=2;n<=nstep;n++) {
for (i=1;i<=nvar;i++) {
swap=ym[i]+h2*yout[i];
ym[i]=yn[i];
yn[i]=swap;
}
x += h;
(*derivs)(x,yn,yout);
}
for (i=1;i<=nvar;i++)
yout[i]=0.5*(ym[i]+yn[i]+h*yout[i]);
free_vector(yn,1,nvar);
free_vector(ym,1,nvar);
}
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