.\" @(#)spline.1 6.1 (Berkeley) %G%
spline \- interpolate smooth curve
takes pairs of numbers from the standard input as abcissas and ordinates
It produces a similar set, which
is approximately equally spaced and
includes the input set, on the standard output.
Numerical Methods for Scientists and Engineers,
has two continuous derivatives,
and sufficiently many points to look smooth when plotted, for
The following options are recognized,
each as a separate argument.
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.
used in the boundary value computation
.as 12 \v'18u'\s8\*(13\|\s10\v'-18u'
.nr 12 \n(12+\n(13+\w'\s8\|'
.as 12 \v'18u'\s8\*(13\|\s10\v'-18u'
.nr 12 \n(12+\n(13+\w'\s8\|'
.as 12 \v'18u'\s8\*(13\|\s10\v'-18u'
.nr 12 \n(12+\n(13+\w'\s8\|'
.as 12 \v'18u'\s8\*(13\|\s10\v'-18u'
.nr 12 \n(12+\n(13+\w'\s8\|'
.ds 11 \x'0'\fI\*(11\s\n(99\f\n(98
(2nd deriv. at end) = k*(2nd deriv. next to end)
is set by the next argument.
intervals occur between the lower and upper
Make output periodic, i.e. match
First and last input values should normally agree.
1 (or 2) arguments are lower (and upper)
Normally these limits are calculated from the data.
Automatic abcissas start at lower limit
When data is not strictly monotone in
reproduces the input without interpolating extra points.
A limit of 1000 input points is enforced silently.