1SPLINE(1G)                                                          SPLINE(1G)
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NAME

6       spline - interpolate smooth curve
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SYNOPSIS

9       spline [ option ] ...
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DESCRIPTION

12       Spline  takes  pairs of numbers from the standard input as abcissas and
13       ordinates of a function.  It produces a similar set, which is  approxi‐
14       mately  equally spaced and includes the input set, on the standard out‐
15       put.  The cubic spline output (R. W.  Hamming,  Numerical  Methods  for
16       Scientists  and  Engineers,  2nd ed., 349ff) has two continuous deriva‐
17       tives, and sufficiently many points to look smooth  when  plotted,  for
18       example by graph(1G).
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20       The following options are recognized, each as a separate argument.
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22       -a   Supply  abscissas automatically (they are missing from the input);
23            spacing is given by the next argument, or is assumed to  be  1  if
24            next argument is not a number.
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26       -k   The constant k used in the boundary value computation
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28                     (2nd deriv. at end) = k*(2nd deriv. next to end)
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30            is set by the next argument.  By default k = 0.
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32       -n   Space  output  points  so  that  approximately  n  intervals occur
33            between the lower and upper x limits.  (Default n = 100.)
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35       -p   Make output periodic, i.e. match derivatives at ends.   First  and
36            last input values should normally agree.
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38       -x   Next  1 (or 2) arguments are lower (and upper) x limits.  Normally
39            these limits are calculated from  the  data.   Automatic  abcissas
40            start at lower limit (default 0).
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SEE ALSO

43       graph(1G), plot(1G)
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DIAGNOSTICS

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

50       A limit of 1000 input points is enforced silently.
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547th Edition                     April 29, 1985                      SPLINE(1G)