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Unix Version 7 - man page for spline (v7 section 1G)

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SPLINE(1G)									       SPLINE(1G)

       spline - interpolate smooth curve

       spline [ option ] ...

       Spline takes pairs of numbers from the standard input as abcissas and ordinates of a func-
       tion.  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(1).

       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).


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

       A limit of 1000 input points is enforced silently.

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