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authorJacob McDonnell <jacob@jacobmcdonnell.com>2026-04-26 16:38:00 -0400
committerJacob McDonnell <jacob@jacobmcdonnell.com>2026-04-26 16:38:00 -0400
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treeb460cd850d0537eb71806ba30358840377b27688 /static/v10/man1/spline.1
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-.TH SPLINE 1
-.CT 1 numbers graphics
-.SH NAME
-spline \- fit a curve
-.SH SYNOPSIS
-.B spline
-[
-.I option ...
-]
-.SH DESCRIPTION
-.I Spline
-is a filter that interpolates extra points in an
-input list suitable for
-.IR graph (1).
-It is useful for making
-smooth-looking curves with
-.I graph
-or with
-.I grap (1).
-.PP
-The following options are recognized,
-each as a separate argument.
-.TP
-.B -a
-Similar to
-.IR graph (1).
-Supply abscissas automatically; no
-.IR x -values
-appear in the input.
-Spacing is given by the next
-argument (default 1).
-A second optional argument is the starting point for
-automatic abscissas (default 0,
-or the lower limit given by
-.BR -x ).
-.TP
-.B -x
-Similar to
-.I graph.
-Next 1 (or 2) arguments are lower (and upper)
-.I x
-limits.
-Normally these quantities are determined automatically.
-.TP
-.B -k
-The constant
-.I k
-used in the boundary value computation
-.IP
-.if n .ig
-.EQ
-y sub 0 sup {prime prime}~=~ky sub 1 sup {prime prime} , ~~~
-y sub n sup {prime prime}~=~ky sub n-1 sup {prime prime} , ~~~
-.EN
-..
-.if t .ig
-.ce
-(2nd deriv. at end) = k*(2nd deriv. next to end)
-..
-.IP
-is set by the next argument.
-(Default
-.I k
-= 0.)
-.TP
-.B -n
-Space output points
-so that approximately
-.I n
-intervals occur between the lower and upper
-.I x
-limits.
-(Default
-.I n
-= 100.)
-.TP
-.B -p
-Make output periodic, i.e. match
-derivatives at ends.
-First and last input values should normally agree.
-.SH SEE ALSO
-.IR graph (1),
-.IR grap (1),
-.IR port (3)
-.SH DIAGNOSTICS
-When data are not strictly monotone in
-.I x,
-.I spline
-simply reproduces its input.
-.SH BUGS
-.I Spline
-quietly discards points after the first 1000.
-.br
-.I Spline's
-curves exhibit the classic ills of piecewise cubics.