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This document is not UTF8. It was detected as Shift JIS and converted to UTF8 for display.
<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML//EN">
<html>
<head>
<title>Qhull print options (P)</title>
</head>
<body>
<!-- Navigation links -->
<p><b>Up:</b> <a href="http://www.geom.umn.edu/software/qhull">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></p>
<hr>
<!-- Main text of document -->
<h1><a
href="http://www.geom.umn.edu/graphics/pix/Special_Topics/Computational_Geometry/delaunay.html"><img
src="qh--dt.gif" alt="[delaunay]" align="middle" width="100"
height="100"></a> Qhull print options (P)</h1>
This section lists the print options for Qhull. These options are
indicated by 'P' followed by a letter. See
<a href="qh-opto.htm#output">Output</a>, <a href="qh-optg.htm#geomview">Geomview</a>,
and <a href="qh-optf.htm#format">Format</a> for other output options.
<p><b>Copyright © 1995-2002 The Geometry Center, Minneapolis MN</b></p>
<hr>
<p><a href="index.htm#TOC">ｻ</a> <a href="qh-quick.htm#programs">Programs</a>
<a name="print">•</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="#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></p>
<h2>Print options</h2>
<blockquote>
<dl compact>
<dt> </dt>
<dd><b>General</b></dd>
<dt><a href="#Pp">Pp</a></dt>
<dd>do not report precision problems </dd>
<dt><a href="#Po">Po</a></dt>
<dd>force output despite precision problems</dd>
<dt><a href="#Po2">Po</a></dt>
<dd>if error, output neighborhood of facet</dd>
<dt> </dt>
<dt> </dt>
<dd><b>Select</b></dd>
<dt><a href="#Pdk">Pdk:n</a></dt>
<dd>print facets with normal[k] >= n (default 0.0)</dd>
<dt><a href="#PDk">PDk:n</a></dt>
<dd>print facets with normal[k] <= n </dd>
<dt><a href="#PFn">PFn</a></dt>
<dd>print facets whose area is at least n</dd>
<dt><a href="#Pg">Pg</a></dt>
<dd>print good facets only (needs '<a href="qh-optq.htm#QGn">QGn</a>'
or '<a href="qh-optq.htm#QVn">QVn </a>')</dd>
<dt><a href="#PMn">PMn</a></dt>
<dd>print n facets with most merges</dd>
<dt><a href="#PAn">PAn</a></dt>
<dd>print n largest facets by area</dd>
<dt><a href="#PG">PG</a></dt>
<dd>print neighbors of good facets</dd>
</dl>
</blockquote>
<hr>
<h3><a href="#print">ｻ</a><a name="PAn">PAn - keep n largest
facets by area</a></h3>
<p>The <i>n</i> largest facets are marked good for printing. This
may be useful for <a href="qh-impre.htm#approximate">approximating
a hull</a>. Unless '<a href="#PG">PG</a>' is set, '<a href="#Pg">Pg</a>'
is automatically set. </p>
<h3><a href="#print">ｻ</a><a name="Pdk">Pdk:n - print facet if
normal[k] >= n </a></h3>
<p>For a given output, print only those facets with <i>normal[k] >= n</i>
and <i>drop</i> the others. For example, 'Pd0:0.5' prints facets with <i>normal[0]
>= 0.5 </i>. The default value of <i>n</i> is zero. For
example in 3-d, 'Pd0d1d2' prints facets in the positive octant.
<p>
If no facets match, the closest facet is returned.</p>
<p>
On Windows 95, do not combine multiple options. A 'd' is considered
part of a number. For example, use 'Pd0:0.5 Pd1:0.5' instead of
'Pd0:0.5d1:0.5'.
<h3><a href="#print">ｻ</a><a name="PDk">PDk:n - print facet if
normal[k] <= n</a></h3>
<p>For a given output, print only those facets with <i>normal[k] <= n</i>
and <i>drop</i> the others.
For example, 'PD0:0.5' prints facets with <i>normal[0]
<= 0.5 </i>. The default value of <i>n</i> is zero. For
example in 3-d, 'PD0D1D2' displays facets in the negative octant.
<p>
If no facets match, the closest facet is returned.</p>
<p>In 2-d, 'd G PD2' displays the Delaunay triangulation instead
of the corresponding paraboloid. </p>
<p>Be careful of placing 'Dk' or 'dk' immediately after a real
number. Some compilers treat the 'D' as a double precision
exponent. </p>
<h3><a href="#print">ｻ</a><a name="PFn">PFn - keep facets whose
area is at least n</a></h3>
<p>The facets with area at least <i>n</i> are marked good for
printing. This may be useful for <a
href="qh-impre.htm#approximate">approximating a hull</a>. Unless
'<a href="#PG">PG</a>' is set, '<a href="#Pg">Pg</a>' is
automatically set. </p>
<h3><a href="#print">ｻ</a><a name="Pg">Pg - print good facets </a></h3>
<p>Qhull can mark facets as "good". This is used to</p>
<ul>
<li>mark the lower convex hull for Delaunay triangulations
and Voronoi diagrams</li>
<li>mark the facets that are visible from a point (the '<a
href="qh-optq.htm#QGn">QGn </a>' option)</li>
<li>mark the facets that contain a point (the '<a
href="qh-optq.htm#QVn">QVn</a>' option).</li>
<li>indicate facets with a large enough area (options '<a
href="#PAn">PAn</a>' and '<a href="#PFn">PFn</a>')</li>
</ul>
<p>Option '<a href="#Pg">Pg</a>' only prints good facets that
also meet '<a href="#Pdk">Pdk</a>' and '<a href="#PDk">PDk</a>'
options. It is automatically set for options '<a href="#PAn">PAn</a>',
'<a href="#PFn">PFn </a>', '<a href="qh-optq.htm#QGn">QGn</a>',
and '<a href="qh-optq.htm#QVn">QVn</a>'.</p>
<h3><a href="#print">ｻ</a><a name="PG">PG - print neighbors of
good facets</a></h3>
<p>Option 'PG' can be used with or without option '<a href="#Pg">Pg</a>'
to print the neighbors of good facets. For example, options '<a
href="qh-optq.htm#QGn">QGn</a>' and '<a href="qh-optq.htm#QVn">QVn</a>'
print the horizon facets for point <i>n. </i></p>
<h3><a href="#print">ｻ</a><a name="PMn">PMn - keep n facets with
most merges</a></h3>
<p>The n facets with the most merges are marked good for
printing. This may be useful for <a
href="qh-impre.htm#approximate">approximating a hull</a>. Unless
'<a href="#PG">PG</a>' is set, '<a href="#Pg">Pg</a>' is
automatically set. </p>
<p>Use option '<a href="qh-optf.htm#Fm">Fm</a>' to print merges
per facet.
<h3><a href="#print">ｻ</a><a name="Po">Po - force output despite
precision problems</a></h3>
<p>Use options 'Po' and '<a href="qh-optq.htm#Q0">Q0</a>' if you
can not merge facets, triangulate the output ('<a href="qh-optq.htm#Qt">Qt</a>'),
or joggle the input (<a href="qh-optq.htm#QJn">QJ</a>).
<p>Option 'Po' can not force output when
duplicate ridges or duplicate facets occur. It may produce
erroneous results. For these reasons, merged facets, joggled input, or <a
href="qh-impre.htm#exact">exact arithmetic</a> are better.</p>
<p>If you need a simplicial Delaunay triangulation, use
joggled input '<a href="qh-optq.htm#QJn">QJ</a>' or triangulated
output '<a
href="qh-optf.htm#Ft">Ft</a>'.
<p>Option 'Po' may be used without '<a href="qh-optq.htm#Q0">Q0</a>'
to remove some steps from Qhull or to output the neighborhood of
an error.</p>
<p>Option 'Po' may be used with option '<a href="qh-optq.htm#Q5">Q5</a>')
to skip qh_check_maxout (i.e., do not determine the maximum outside distance).
This can save a significant amount of time.
<p>If option 'Po' is used,</p>
<ul>
<li>most precision errors allow Qhull to continue. </li>
<li>verify ('<a href="qh-optt.htm#Tv">Tv</a>') does not check
coplanar points.</li>
<li>points are not partitioned into flipped facets and a
flipped facet is always visible to a point. This may
delete flipped facets from the output. </li>
</ul>
<h3><a href="#print">ｻ</a><a name="Po2">Po - if error, output
neighborhood of facet</a></h3>
<p>If an error occurs before the completion of Qhull and tracing
is not active, 'Po' outputs a neighborhood of the erroneous
facets (if any). It uses the current output options.</p>
<p>See '<a href="qh-optp.htm#Po">Po</a>' - force output despite
precision problems.
<h3><a href="#print">ｻ</a><a name="Pp">Pp - do not report
precision problems </a></h3>
<p>With option 'Pp', Qhull does not print statistics about
precision problems, and it removes some of the warnings. It
removes the narrow hull warning.</p>
<!-- Navigation links -->
<hr>
<p><b>Up:</b> <a href="http://www.geom.umn.edu/software/qhull">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></p>
<!-- GC common information -->
<hr>
<p><a href="http://www.geom.umn.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@geom.umn.edu>qhull@geom.umn.edu</a>
</a><br>
Created: Sept. 25, 1995 --- <!-- hhmts start --> Last modified: see top <!-- hhmts end --> </p>
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