/* Driver for routine mmid */ #include #define NRANSI #include "nr.h" #include "nrutil.h" #define NVAR 4 #define X1 1.0 #define HTOT 0.5 void derivs(float x,float y[],float dydx[]) { dydx[1] = -y[2]; dydx[2]=y[1]-(1.0/x)*y[2]; dydx[3]=y[2]-(2.0/x)*y[3]; dydx[4]=y[3]-(3.0/x)*y[4]; } int main(void) { int i; float b1,b2,b3,b4,xf=X1+HTOT,*y,*yout,*dydx; y=vector(1,NVAR); yout=vector(1,NVAR); dydx=vector(1,NVAR); y[1]=bessj0(X1); y[2]=bessj1(X1); y[3]=bessj(2,X1); y[4]=bessj(3,X1); derivs(X1,y,dydx); b1=bessj0(xf); b2=bessj1(xf); b3=bessj(2,xf); b4=bessj(3,xf); printf("First four Bessel functions:\n"); for (i=5;i<=50;i+=5) { mmid(y,dydx,NVAR,X1,HTOT,i,yout,derivs); printf("\n%s %5.2f %s %5.2f %s %2d %s \n", "x=",X1," to ",X1+HTOT," in ",i," steps"); printf("%14s %9s\n","integration","bessj"); printf("%12.6f %12.6f\n",yout[1],b1); printf("%12.6f %12.6f\n",yout[2],b2); printf("%12.6f %12.6f\n",yout[3],b3); printf("%12.6f %12.6f\n",yout[4],b4); printf("\nPress RETURN to continue...\n"); (void) getchar(); } free_vector(dydx,1,NVAR); free_vector(yout,1,NVAR); free_vector(y,1,NVAR); return 0; } #undef NRANSI