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Initial release
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Louis Rossmann
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deps_src/qhull/html/rbox.man
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deps_src/qhull/html/rbox.man
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.\" This is the Unix manual page for rbox, written in nroff, the standard
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.\" manual formatter for Unix systems. To format it, type
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.\"
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.\" nroff -man rbox.man
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.\"
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.\" This will print a formatted copy to standard output. If you want
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.\" to ensure that the output is plain ascii, free of any control
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.\" characters that nroff uses for underlining etc, pipe the output
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.\" through "col -b":
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.\"
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.\" nroff -man rbox.man | col -b
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.\"
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.TH rbox 1 "August 10, 1998" "Geometry Center"
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.SH NAME
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rbox \- generate point distributions for qhull
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.SH SYNOPSIS
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Command "rbox" (w/o arguments) lists the options.
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.SH DESCRIPTION
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.PP
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rbox generates random or regular points according to the options given, and
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outputs
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the points to stdout. The points are generated in a cube, unless 's' or 'k'
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option is
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given. The format of the output is the following: first line
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contains the dimension and a comment,
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second line contains the number of points, and the
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following lines contain the points, one point per line. Points are represented
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by their coordinate values.
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.SH EXAMPLES
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.TP
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rbox 10
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10 random points in the unit cube centered at the origin.
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.TP
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rbox 10 s D2
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10 random points on a 2\[hy]d circle.
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.TP
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rbox 100 W0
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100 random points on the surface of a cube.
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.TP
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rbox 1000 s D4
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1000 random points on a 4\[hy]d sphere.
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.TP
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rbox c D5 O0.5
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a 5\[hy]d hypercube with one corner at the origin.
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.TP
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rbox d D10
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a 10\[hy]d diamond.
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.TP
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rbox x 1000 r W0
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100 random points on the surface of a fixed simplex
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.TP
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rbox y D12
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a 12\[hy]d simplex.
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.TP
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rbox l 10
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10 random points along a spiral
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.TP
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rbox l 10 r
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10 regular points along a spiral plus two end points
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.TP
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rbox 1000 L10000 D4 s
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1000 random points on the surface of a narrow lens.
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.TP
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rbox c G2 d G3
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a cube with coordinates +2/\-2 and a diamond with coordinates +3/\-3.
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.TP
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rbox 64 M3,4 z
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a rotated, {0,1,2,3} x {0,1,2,3} x {0,1,2,3} lattice (Mesh) of integer
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points. 'rbox 64 M1,0' is orthogonal.
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.TP
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rbox P0 P0 P0 P0 P0
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5 copies of the origin in 3\-d. Try 'rbox P0 P0 P0 P0 P0 | qhull QJ'.
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.TP
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r 100 s Z1 G0.1
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two cospherical 100\-gons plus another cospherical point.
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.TP
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100 s Z1
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a cone of points.
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.TP
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100 s Z1e\-7
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a narrow cone of points with many precision errors.
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.SH OPTIONS
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.TP
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n
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number of points
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.TP
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Dn
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dimension n\[hy]d (default 3\[hy]d)
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.TP
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Bn
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bounding box coordinates (default 0.5)
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.TP
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l
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spiral distribution, available only in 3\[hy]d
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.TP
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Ln
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lens distribution of radius n. May be used with 's', 'r', 'G', and 'W'.
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.TP
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Mn,m,r
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lattice (Mesh) rotated by {[n,\-m,0], [m,n,0], [0,0,r], ...}.
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Use 'Mm,n' for a rigid rotation with r = sqrt(n^2+m^2). 'M1,0' is an
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orthogonal lattice. For example, '27 M1,0' is {0,1,2} x {0,1,2} x
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{0,1,2}. '27 M3,4 z' is a rotated integer lattice.
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.TP
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s
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cospherical points randomly generated in a cube and projected to the unit sphere
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.TP
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x
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simplicial distribution. It is fixed for option 'r'. May be used with 'W'.
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.TP
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y
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simplicial distribution plus a simplex. Both 'x' and 'y' generate the same points.
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.TP
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Wn
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restrict points to distance n of the surface of a sphere or a cube
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.TP
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c
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add a unit cube to the output
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.TP
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c Gm
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add a cube with all combinations of +m and \-m to the output
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.TP
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d
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add a unit diamond to the output.
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.TP
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d Gm
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add a diamond made of 0, +m and \-m to the output
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.TP
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Cn,r,m
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add n nearly coincident points within radius r of m points
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.TP
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Pn,m,r
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add point [n,m,r] to the output first. Pad coordinates with 0.0.
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.TP
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n
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Remove the command line from the first line of output.
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.TP
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On
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offset the data by adding n to each coordinate.
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.TP
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t
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use time in seconds as the random number seed (default is command line).
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.TP
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tn
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set the random number seed to n.
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.TP
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z
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generate integer coordinates. Use 'Bn' to change the range.
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The default is 'B1e6' for six\[hy]digit coordinates. In R^4, seven\[hy]digit
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coordinates will overflow hyperplane normalization.
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.TP
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Zn s
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restrict points to a disk about the z+ axis and the sphere (default Z1.0).
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Includes the opposite pole. 'Z1e\-6' generates degenerate points under
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single precision.
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.TP
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Zn Gm s
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same as Zn with an empty center (default G0.5).
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.TP
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r s D2
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generate a regular polygon
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.TP
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r s Z1 G0.1
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generate a regular cone
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.SH BUGS
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Some combinations of arguments generate odd results.
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Report bugs to qhull_bug@qhull.org, other correspondence to qhull@qhull.org
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.SH SEE ALSO
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qhull(1)
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.SH AUTHOR
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.nf
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C. Bradford Barber
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bradb@shore.net
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.fi
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