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diff --git a/src/qhull/html/rbox.htm b/src/qhull/html/rbox.htm new file mode 100644 index 000000000..9c28face5 --- /dev/null +++ b/src/qhull/html/rbox.htm @@ -0,0 +1,277 @@ +<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML//EN"> +<html> + +<head> +<title>rbox -- generate point distributions</title> +</head> + +<body> +<!-- Navigation links --> +<p><b><a name="TOP">Up:</a></b> <a href="http://www.qhull.org">Home page</a> for Qhull<br> +<b>Up:</b> <a href="index.htm#TOC">Qhull manual</a>: Table of Contents<br> +<b>To:</b> <a href="qh-quick.htm#programs">Programs</a> +• <a href="qh-quick.htm#options">Options</a> +• <a href="qh-opto.htm#output">Output</a> +• <a href="qh-optf.htm#format">Formats</a> +• <a href="qh-optg.htm#geomview">Geomview</a> +• <a href="qh-optp.htm#print">Print</a> +• <a href="qh-optq.htm#qhull">Qhull</a> +• <a href="qh-optc.htm#prec">Precision</a> +• <a href="qh-optt.htm#trace">Trace</a> +• <a href="../src/libqhull_r/index.htm">Functions</a><br> +<b>To:</b> <a href="#synopsis">sy</a>nopsis • <a href="#outputs">ou</a>tputs +• <a href="#examples">ex</a>amples • <a href="#notes">no</a>tes +• <a href="#options">op</a>tions +<hr> +<!-- Main text of document --> +<h1><a +href="http://www.geom.uiuc.edu/graphics/pix/Special_Topics/Computational_Geometry/cone.html"><img +src="qh--cone.gif" alt="[CONE]" align="middle" width="100" +height="100"></a>rbox -- generate point distributions</h1> + +<blockquote> + rbox generates random or regular points according to the + options given, and outputs the points to stdout. The + points are generated in a cube, unless 's', 'x', or 'y' + are given. + +</blockquote> +<h3><a href="#TOP">»</a><a name="synopsis">rbox synopsis</a></h3> +<pre> +rbox- generate various point distributions. Default is random in cube. + +args (any order, space separated): + 3000 number of random points in cube, lens, spiral, sphere or grid + D3 dimension 3-d + c add a unit cube to the output ('c G2.0' sets size) + d add a unit diamond to the output ('d G2.0' sets size) + l generate a regular 3-d spiral + r generate a regular polygon, ('r s Z1 G0.1' makes a cone) + s generate cospherical points + x generate random points in simplex, may use 'r' or 'Wn' + y same as 'x', plus simplex + Cn,r,m add n nearly coincident points within radius r of m points + Pn,m,r add point [n,m,r] first, pads with 0 + + Ln lens distribution of radius n. Also 's', 'r', 'G', 'W'. + Mn,m,r lattice (Mesh) rotated by [n,-m,0], [m,n,0], [0,0,r], ... + '27 M1,0,1' is {0,1,2} x {0,1,2} x {0,1,2}. Try 'M3,4 z'. + W0.1 random distribution within 0.1 of the cube's or sphere's surface + Z0.5 s random points in a 0.5 disk projected to a sphere + Z0.5 s G0.6 same as Z0.5 within a 0.6 gap + + Bn bounding box coordinates, default 0.5 + h output as homogeneous coordinates for cdd + n remove command line from the first line of output + On offset coordinates by n + t use time as the random number seed (default is command line) + tn use n as the random number seed + z print integer coordinates, default 'Bn' is 1e+06 +</pre> + +<h3><a href="#TOP">»</a><a name="outputs">rbox outputs</a></h3> +<blockquote> + +The format of the output is the following: first line contains + the dimension and a comment, second line contains the + number of points, and the following lines contain the points, + one point per line. Points are represented by their coordinate values. + +<p>For example, <tt>rbox c 10 D2</tt> generates +<blockquote> +<pre> +2 RBOX c 10 D2 +14 +-0.4999921736307369 -0.3684622117955817 +0.2556053225468894 -0.0413498678629751 +0.0327672376602583 -0.2810408135699488 +-0.452955383763607 0.17886471718444 +0.1792964061529342 0.4346928963760779 +-0.1164979223315585 0.01941637230982666 +0.3309653464993139 -0.4654278894564396 +-0.4465383649305798 0.02970019358182344 +0.1711493843897706 -0.4923018137852678 +-0.1165843490665633 -0.433157762450313 + -0.5 -0.5 + -0.5 0.5 + 0.5 -0.5 + 0.5 0.5 +</pre> + +</blockquote> + +</blockquote> +<h3><a href="#TOP">»</a><a name="examples">rbox examples</a></h3> + +<pre> + rbox 10 + 10 random points in the unit cube centered at the + origin. + + rbox 10 s D2 + 10 random points on a 2-d circle. + + rbox 100 W0 + 100 random points on the surface of a cube. + + rbox 1000 s D4 + 1000 random points on a 4-d sphere. + + rbox c D5 O0.5 + a 5-d hypercube with one corner at the origin. + + rbox d D10 + a 10-d diamond. + + rbox x 1000 r W0 + 100 random points on the surface of a fixed simplex + + rbox y D12 + a 12-d simplex. + + rbox l 10 + 10 random points along a spiral + + rbox l 10 r + 10 regular points along a spiral plus two end + points + + rbox 1000 L10000 D4 s + 1000 random points on the surface of a narrow lens. + + rbox 1000 L100000 s G1e-6 + 1000 random points near the edge of a narrow lens + + rbox c G2 d G3 + a cube with coordinates +2/-2 and a diamond with + coordinates +3/-3. + + rbox 64 M3,4 z + a rotated, {0,1,2,3} x {0,1,2,3} x {0,1,2,3} lat- + tice (Mesh) of integer points. + + rbox P0 P0 P0 P0 P0 + 5 copies of the origin in 3-d. Try 'rbox P0 P0 P0 + P0 P0 | qhull QJ'. + + r 100 s Z1 G0.1 + two cospherical 100-gons plus another cospherical + point. + + 100 s Z1 + a cone of points. + + 100 s Z1e-7 + a narrow cone of points with many precision errors. +</pre> + +<h3><a href="#TOP">»</a><a name="notes">rbox notes</a></h3> +<blockquote> +Some combinations of arguments generate odd results. + +</blockquote> +<h3><a href="#TOP">»</a><a name="options">rbox options</a></h3> + +<pre> + n number of points + + Dn dimension n-d (default 3-d) + + Bn bounding box coordinates (default 0.5) + + l spiral distribution, available only in 3-d + + Ln lens distribution of radius n. May be used with + 's', 'r', 'G', and 'W'. + + Mn,m,r lattice (Mesh) rotated by {[n,-m,0], [m,n,0], + [0,0,r], ...}. Use 'Mm,n' for a rigid rotation + with r = sqrt(n^2+m^2). 'M1,0' is an orthogonal + lattice. For example, '27 M1,0' is {0,1,2} x + {0,1,2} x {0,1,2}. + + s cospherical points randomly generated in a cube and + projected to the unit sphere + + x simplicial distribution. It is fixed for option + 'r'. May be used with 'W'. + + y simplicial distribution plus a simplex. Both 'x' + and 'y' generate the same points. + + Wn restrict points to distance n of the surface of a + sphere or a cube + + c add a unit cube to the output + + c Gm add a cube with all combinations of +m and -m to + the output + + d add a unit diamond to the output. + + d Gm add a diamond made of 0, +m and -m to the output + + Cn,r,m add n nearly coincident points within radius r of m points + + Pn,m,r add point [n,m,r] to the output first. Pad coordi- + nates with 0.0. + + n Remove the command line from the first line of out- + put. + + On offset the data by adding n to each coordinate. + + t use time in seconds as the random number seed + (default is command line). + + tn set the random number seed to n. + + z generate integer coordinates. Use 'Bn' to change + the range. The default is 'B1e6' for six-digit + coordinates. In R^4, seven-digit coordinates will + overflow hyperplane normalization. + + Zn s restrict points to a disk about the z+ axis and the + sphere (default Z1.0). Includes the opposite pole. + 'Z1e-6' generates degenerate points under single + precision. + + Zn Gm s + same as Zn with an empty center (default G0.5). + + r s D2 generate a regular polygon + + r s Z1 G0.1 + generate a regular cone +</pre> + +<!-- Navigation links --> +<hr> + +<p><b>Up:</b> <a href="http://www.qhull.org">Home page</a> for Qhull<br> +<b>Up:</b> <a href="index.htm#TOC">Qhull manual</a>: Table of Contents<br> +<b>To:</b> <a href="qh-quick.htm#programs">Programs</a> +• <a href="qh-quick.htm#options">Options</a> +• <a href="qh-opto.htm#output">Output</a> +• <a href="qh-optf.htm#format">Formats</a> +• <a href="qh-optg.htm#geomview">Geomview</a> +• <a href="qh-optp.htm#print">Print</a> +• <a href="qh-optq.htm#qhull">Qhull</a> +• <a href="qh-optc.htm#prec">Precision</a> +• <a href="qh-optt.htm#trace">Trace</a> +• <a href="../src/libqhull_r/index.htm">Functions</a><br> +<b>To:</b> <a href="#synopsis">sy</a>nopsis • <a href="#outputs">ou</a>tputs +• <a href="#examples">ex</a>amples • <a href="#notes">no</a>tes +• <a href="#options">op</a>tions +<!-- GC common information --> +<hr> + +<p><a href="http://www.geom.uiuc.edu/"><img src="qh--geom.gif" +align="middle" width="40" height="40"></a><i>The Geometry Center +Home Page </i></p> + +<p>Comments to: <a href=mailto:qhull@qhull.org>qhull@qhull.org</a> +<br> +Created: Sept. 25, 1995 --- <!-- hhmts start --> Last modified: August 12, 1998 <!-- hhmts end --> </p> +</body> +</html> |