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spline(1)			 User Commands			     spline(1)

NAME
       spline -	interpolate smooth curve

SYNOPSIS
       spline [-aknpx] ...

DESCRIPTION
       spline  takes  pairs of numbers from the	standard input as abcissas and
       ordinates of a function.	It produces a similar set, which  is  approxi-
       mately  equally spaced and includes the input set, on the standard out-
       put. The	cubic spline output (R.	W. Hamming, Numerical Methods for Sci-
       entists	and  Engineers,2nd ed.,	349ff) has two continuous derivatives,
       and sufficiently	many points to look smooth when	plotted,  for  example
       by graph(1).

OPTIONS
       -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 be-
	     tween the lower and upper x limits.  (Default n = 100.)

       -p    Make output periodic, that	is, 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).

ATTRIBUTES
       See attributes(5) for descriptions of the following attributes:

       +-----------------------------+-----------------------------+
       |      ATTRIBUTE	TYPE	     |	    ATTRIBUTE VALUE	   |
       +-----------------------------+-----------------------------+
       |Availability		     |SUNWesu			   |
       +-----------------------------+-----------------------------+

SEE ALSO
       graph(1), attributes(5)

       R. W. Hamming, Numerical	Methods	for Scientists and Engineers, 2nd ed.

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

BUGS
       A limit of 1000 input points is enforced	silently.

SunOS 5.9			  14 Sep 1992			     spline(1)

NAME | SYNOPSIS | DESCRIPTION | OPTIONS | ATTRIBUTES | SEE ALSO | DIAGNOSTICS | BUGS

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