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-.th SPLINE VI 10/20/73
-.sh NAME
-spline \*- interpolate smooth curve
-.sh SYNOPSIS
-.bd spline
-[ option ] ...
-.sh DESCRIPTION
-.it 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,
-.ft I
-Numerical Methods for Engineers and Scientists,
-.ft R
-2nd ed., 349ff)
-has two continuous derivatives,
-and sufficiently many points to look smooth when plotted, for
-example by
-.it plot
-(I).
-.s3
-The following options are recognized,
-each as a separate argument.
-.s3
-.lp +5 5
-\fBa\fR 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.
-.s3
-.lp +5 5
-\fBn\fR Output approximately
-.it n
-points, where
-.it n
-is given by the next argument.
-(Default
-.it n
-= 100.)
-.s3
-.lp +5 5
-\fBp\fR Make output periodic, i.e. match
-derivatives at ends.
-First and last input values should normally agree.
-.s3
-.lp +5 5
-\fBx\fR Next 1 (or 2) arguments are lower (and upper) \fIx\fR limits.
-.i0
-.sh "SEE ALSO"
-plot(I)
-.sh AUTHOR
-M. D. McIlroy
-.sh BUGS
-A limit of 1000 input points is enforced silently.