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DEM42

       SUBROUTINE  DEM42 (NIN,NOUT)
 C$    (DEM42 - Smoothing Spline Fit)
 C$    This program illustrates  the use of  subroutine FITSM  for
 C$    the production  of a  smoothed approximation  to a  set  of
 C$    points  for  which  the  ordinate  values  have  associated
 C$    errors.  The function  chosen is the  sine function in  the
 C$    range (0,180) degrees, which is rounded to 3 decimal places
 C$    before calling FITSM.  The original data points are plotted
 C$    superimposed on  the  smooth interpolated  curve,  and  the
 C$    error, multiplied by 100, is  plotted at the center of  the
 C$    plotter page.   A  second  call  to  FITSM  is  then  made,
 C$    requesting a normal cubic  spline through the data  points,
 C$    and a second plot is produced in the same way as the first.
 C$    The derivative of  the spline function  is computed at  the
 C$    data  points  and   resplined  to   give  an   interpolated
 C$    derivative which  is  plotted with  a  dashed line  on  the
 C$    drawings.
 C$    (10-APR-82)