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Annotation of researchv10dc/man/mana/spline.1, revision 1.1

1.1     ! root        1: .TH SPLINE 1
        !             2: .CT 1 numbers graphics
        !             3: .SH NAME
        !             4: spline \- fit a curve
        !             5: .SH SYNOPSIS
        !             6: .B spline
        !             7: [
        !             8: .I option ...
        !             9: ]
        !            10: .SH DESCRIPTION
        !            11: .I Spline
        !            12: is a filter that interpolates extra points in an
        !            13: input list suitable for
        !            14: .IR graph (1).
        !            15: It is useful for making
        !            16: smooth-looking curves with 
        !            17: .I graph
        !            18: or with
        !            19: .I grap (1).
        !            20: .PP
        !            21: The following options are recognized,
        !            22: each as a separate argument.
        !            23: .TP
        !            24: .B  -a
        !            25: Similar to
        !            26: .IR graph (1).
        !            27: Supply abscissas automatically; no
        !            28: .IR x -values
        !            29: appear in the input.
        !            30: Spacing is given by the next
        !            31: argument (default 1).
        !            32: A second optional argument is the starting point for
        !            33: automatic abscissas (default 0,
        !            34: or the lower limit given by
        !            35: .BR -x ).
        !            36: .TP
        !            37: .B -x
        !            38: Similar to
        !            39: .I graph.
        !            40: Next 1 (or 2) arguments are lower (and upper)
        !            41: .I x
        !            42: limits.
        !            43: Normally these quantities are determined automatically.
        !            44: .TP
        !            45: .B  -k
        !            46: The constant
        !            47: .I k 
        !            48: used in the boundary value computation
        !            49: .IP
        !            50: .if n .ig
        !            51: .EQ
        !            52: y sub 0 sup {prime prime}~=~ky sub 1 sup {prime prime} , ~~~
        !            53: y sub n sup {prime prime}~=~ky sub n-1 sup {prime prime} , ~~~
        !            54: .EN
        !            55: ..
        !            56: .if t .ig
        !            57: .ce
        !            58: (2nd deriv. at end) = k*(2nd deriv. next to end)
        !            59: ..
        !            60: .IP
        !            61: is set by the next argument.
        !            62: (Default
        !            63: .I k
        !            64: = 0.)
        !            65: .TP
        !            66: .B  -n
        !            67: Space output points
        !            68: so that approximately
        !            69: .I n
        !            70: intervals occur between the lower and upper
        !            71: .I x
        !            72: limits.
        !            73: (Default
        !            74: .I n
        !            75: = 100.)
        !            76: .TP
        !            77: .B  -p
        !            78: Make output periodic, i.e. match
        !            79: derivatives at ends.
        !            80: First and last input values should normally agree.
        !            81: .SH SEE ALSO
        !            82: .IR graph (1),
        !            83: .IR grap (1),
        !            84: .IR port (3)
        !            85: .SH DIAGNOSTICS
        !            86: When data are not strictly monotone in
        !            87: .I x,
        !            88: .I spline
        !            89: simply reproduces its input.
        !            90: .SH BUGS
        !            91: .I Spline
        !            92: quietly discards points after the first 1000.
        !            93: .br
        !            94: .I Spline's
        !            95: curves exhibit the classic ills of piecewise cubics.

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