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     SPLINE(C)                                  UNIX System V



     Name
          spline - interpolates smooth curve


     Syntax
          spline [ option ] ...


     Description
          spline takes pairs of numbers from  the  standard  input  as
          abscissas  and  ordinates  of  a  function.   It  produces a
          similar set,  which  is  approximately  equally  spaced  and
          includes  the  input set, on the standard output.  The cubic
          spline output has two  continuous  derivatives,  and  enough
          points to look smooth when plotted.

          The following options are recognized,  each  as  a  separate
          argument.

          -a   Supplies abscissas automatically (they are missing from
               the  input);  spacing is given by the next argument, or
               is assumed to be 1 if next argument is not a number.

          -k   The constant k used in the boundary value computation

                    y'' = ky' , . . . , y'' = ky'
                     0      1            n      n-1
               is set by the next argument.  By default k = 0.

          -n   Spaces output points so that approximately n  intervals
               occur between the lower and upper x limits.  (Default n
               = 100.)

          -p   Makes output  periodic,  i.e.  matches  derivatives  at
               ends.   First  and  last  input  values should normally
               agree.

          -x   Next 1 (or 2) arguments are lower (and upper) x limits.
               Normally  these  limits  are  calculated from the data.
               Automatic abscissas start at lower limit (default 0).


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


     Notes
          A limit of 1000 input points is silently enforced.


     (printed 8/24/89)                                  SPLINE(C)

Typewritten Software • bear@typewritten.org • Edmonds, WA 98026