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     SPLINE(CP)               XENIX System V                SPLINE(CP)



     Name
          spline - Interpolates smooth curve.

     Syntax
          spline [ option ] ...

     Description
          spline takes pairs of numbers from the standard input as
          abcissas 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
                ''     '            ''     '
               y0  = ky1 , . . . , yn  = kyn-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 abcissas 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.










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