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graph

spline

PURPOSE

     Interpolates smooth curve.

SYNOPSIS
     spline [ options ]


DESCRIPTION

     The spline command reads from the standard input pairs of
     numbers that represent  the coordinates of a  point on an
     x,y axis.  From this input, spline calculates the coordi-
     nates of points to form a smooth curve through the points
     in  the  input  set.   It then  writes  these  points  to
     standard  output.  The  output  points are  approximately
     equally spaced and includes  the points that you provided
     as  input.  The  cubic spline  output has  two continuous
     derivatives, and enough points  so that when plotted with
     the graph command it looks smooth.

     When  data   is  not  strictly  monotone   in  x,  spline
     reproduces the input without interpolating extra points.

     You can only use 1,000 input points.

FLAGS

     -anum            Supplies     abscissas    automatically;
                      spacing is  given by the  next parameter
                      or is assumed to be 1 if the next param-
                      eter is not a number.
     -knum            Uses  the constant  num in  the boundary
                      value calculation:

                          y[0] =ky[1] , y =numy

                      The default for num is zero.
     -nnum            Spaces  output points  so that  approxi-
                      mately num  intervals occur  between the
                      lower and  upper x limits (set  with the
                      -x flag).  The default num is 100.
     -p               Makes output periodic,  that is, matches
                      derivatives  at  ends.  First  and  last
                      input values should normally agree.
     -xlowlim[uplim]  Sets lower and upper  x limits as lowlim
                      and uplim.   Normally, these  limits are
                      calculated  from  the  data.   Automatic

                      abscissas start at lower limit, defaults
                      to zero.

RELATED INFORMATION

     The following command:  "graph."

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