Return to spline.1 CVS log

Up to [Research Unix] / researchv10dc / man / mana

Annotation of researchv10dc/man/mana/spline.1, revision 1.1.1.1

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.

This archive runs on limited infrastructure. Preserving old code on modern bandwidth. Automated agents are requested to crawl responsibly.