SPLINE man page on NeXTSTEP

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SPLINE(1G)							    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.

7th Edition			April 29, 1985			    SPLINE(1G)
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