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Annotation of researchv10dc/dist/man/v4/man6/spline.6, revision 1.1.1.1

1.1       root        1: .th SPLINE VI 10/20/73
                      2: .sh NAME
                      3: spline \*- interpolate smooth curve
                      4: .sh SYNOPSIS
                      5: .bd spline
                      6: [ option ] ...
                      7: .sh DESCRIPTION
                      8: .it Spline
                      9: takes pairs of numbers from the standard input as abcissas and ordinates
                     10: of a function.
                     11: It produces a similar set, which
                     12: is approximately equally spaced and
                     13: includes the input set, on the standard output.
                     14: The cubic spline output
                     15: (R. W. Hamming,
                     16: .ft I
                     17: Numerical Methods for Engineers and Scientists,
                     18: .ft R
                     19: 2nd ed., 349ff)
                     20: has two continuous derivatives,
                     21: and sufficiently many points to look smooth when plotted, for
                     22: example by
                     23: .it plot
                     24: (I).
                     25: .s3
                     26: The following options are recognized,
                     27: each as a separate argument.
                     28: .s3
                     29: .lp +5 5
                     30: \fBa\fR        Supply abscissas automatically (they are missing from
                     31: the input); spacing is given by the next
                     32: argument, or is assumed to be 1 if next argument is not a number.
                     33: .s3
                     34: .lp +5 5
                     35: \fBn\fR        Output approximately 
                     36: .it n
                     37: points, where
                     38: .it n
                     39: is given by the next argument.
                     40: (Default
                     41: .it n
                     42: = 100.)
                     43: .s3
                     44: .lp +5 5
                     45: \fBp\fR        Make output periodic, i.e. match
                     46: derivatives at ends.
                     47: First and last input values should normally agree.
                     48: .s3
                     49: .lp +5 5
                     50: \fBx\fR        Next 1 (or 2) arguments are lower (and upper) \fIx\fR limits.
                     51: .i0
                     52: .sh "SEE ALSO"
                     53: plot(I)
                     54: .sh AUTHOR
                     55: M. D. McIlroy
                     56: .sh BUGS
                     57: A limit of 1000 input points is enforced silently.

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