# 2.11BSD#431 - /usr/man/cat1/spline.0

    SPLINE(1G)	    UNIX Programmer's Manual	       SPLINE(1G)

    NAME
         spline - interpolate smooth curve

    SYNOPSIS
         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
         (R. W. Hamming, Numerical Methods for Scientists and
         Engineers, 2nd ed., 349ff) has two continuous derivatives,
         and sufficiently many points to look smooth when plotted,
         for example by graph(1G).

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

         -a   Supply 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

    	     (2nd deriv. at end) = k*(2nd deriv. next to end)

    	  is set by the next argument.	By default k = 0.

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

         -p   Make output periodic, i.e. match 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).

    SEE ALSO
         graph(1G), plot(1G)

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

    BUGS
         A limit of 1000 input points is enforced silently.

    Printed 11/26/99	 April 29, 1985                         1

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