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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
+<!-- NewPage -->
+<html lang="en">
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+<title>SubHyperplane (Apache Commons Math 3.6.1 API)</title>
+<link rel="stylesheet" type="text/css" href="../../../../../../stylesheet.css" title="Style">
+</head>
+<body>
+<script type="text/javascript"><!--
+ if (location.href.indexOf('is-external=true') == -1) {
+ parent.document.title="SubHyperplane (Apache Commons Math 3.6.1 API)";
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+<li><a href="package-summary.html">Package</a></li>
+<li class="navBarCell1Rev">Class</li>
+<li><a href="class-use/SubHyperplane.html">Use</a></li>
+<li><a href="package-tree.html">Tree</a></li>
+<li><a href="../../../../../../deprecated-list.html">Deprecated</a></li>
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+<div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div>
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+<li><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html" title="enum in org.apache.commons.math3.geometry.partitioning"><span class="strong">Prev Class</span></a></li>
+<li><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning"><span class="strong">Next Class</span></a></li>
+</ul>
+<ul class="navList">
+<li><a href="../../../../../../index.html?org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" target="_top">Frames</a></li>
+<li><a href="SubHyperplane.html" target="_top">No Frames</a></li>
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+<!-- ========= END OF TOP NAVBAR ========= -->
+<!-- ======== START OF CLASS DATA ======== -->
+<div class="header">
+<div class="subTitle">org.apache.commons.math3.geometry.partitioning</div>
+<h2 title="Interface SubHyperplane" class="title">Interface SubHyperplane&lt;S extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</h2>
+</div>
+<div class="contentContainer">
+<div class="description">
+<ul class="blockList">
+<li class="blockList">
+<dl><dt><span class="strong">Type Parameters:</span></dt><dd><code>S</code> - Type of the embedding space.</dd></dl>
+<dl>
+<dt>All Known Implementing Classes:</dt>
+<dd><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</a>, <a href="../../../../../../org/apache/commons/math3/geometry/spherical/twod/SubCircle.html" title="class in org.apache.commons.math3.geometry.spherical.twod">SubCircle</a>, <a href="../../../../../../org/apache/commons/math3/geometry/spherical/oned/SubLimitAngle.html" title="class in org.apache.commons.math3.geometry.spherical.oned">SubLimitAngle</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/twod/SubLine.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">SubLine</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/oned/SubOrientedPoint.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">SubOrientedPoint</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/SubPlane.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">SubPlane</a></dd>
+</dl>
+<hr>
+<br>
+<pre>public interface <span class="strong">SubHyperplane&lt;S extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</span></pre>
+<div class="block">This interface represents the remaining parts of an hyperplane after
+ other parts have been chopped off.
+
+ <p>sub-hyperplanes are obtained when parts of an <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>hyperplane</code></a> are chopped off by other hyperplanes that
+ intersect it. The remaining part is a convex region. Such objects
+ appear in <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/BSPTree.html" title="class in org.apache.commons.math3.geometry.partitioning"><code>BSP trees</code></a> as the intersection of a cut
+ hyperplane with the convex region which it splits, the chopping
+ hyperplanes are the cut hyperplanes closer to the tree root.</p>
+
+ <p>
+ Note that this interface is <em>not</em> intended to be implemented
+ by Apache Commons Math users, it is only intended to be implemented
+ within the library itself. New methods may be added even for minor
+ versions, which breaks compatibility for external implementations.
+ </p></div>
+<dl><dt><span class="strong">Since:</span></dt>
+ <dd>3.0</dd></dl>
+</li>
+</ul>
+</div>
+<div class="summary">
+<ul class="blockList">
+<li class="blockList">
+<!-- ======== NESTED CLASS SUMMARY ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="nested_class_summary">
+<!-- -->
+</a>
+<h3>Nested Class Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Nested Class Summary table, listing nested classes, and an explanation">
+<caption><span>Nested Classes</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Modifier and Type</th>
+<th class="colLast" scope="col">Interface and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static class&nbsp;</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="type parameter in SubHyperplane.SplitSubHyperplane">U</a> extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</strong></code>
+<div class="block">Class holding the results of the <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#split(org.apache.commons.math3.geometry.partitioning.Hyperplane)"><code>split</code></a> method.</div>
+</td>
+</tr>
+</table>
+</li>
+</ul>
+<!-- ========== METHOD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_summary">
+<!-- -->
+</a>
+<h3>Method Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
+<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Modifier and Type</th>
+<th class="colLast" scope="col">Method and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#copySelf()">copySelf</a></strong>()</code>
+<div class="block">Copy the instance.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#getHyperplane()">getHyperplane</a></strong>()</code>
+<div class="block">Get the underlying hyperplane.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#getSize()">getSize</a></strong>()</code>
+<div class="block">Get the size of the instance.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>boolean</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#isEmpty()">isEmpty</a></strong>()</code>
+<div class="block">Check if the instance is empty.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#reunite(org.apache.commons.math3.geometry.partitioning.SubHyperplane)">reunite</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;&nbsp;other)</code>
+<div class="block">Compute the union of the instance and another sub-hyperplane.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html" title="enum in org.apache.commons.math3.geometry.partitioning">Side</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#side(org.apache.commons.math3.geometry.partitioning.Hyperplane)">side</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;&nbsp;hyperplane)</code>
+<div class="block"><strong>Deprecated.</strong>&nbsp;
+<div class="block"><i>as of 3.6, replaced with <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#split(org.apache.commons.math3.geometry.partitioning.Hyperplane)"><code>split(Hyperplane)</code></a>.<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html#getSide()"><code>SubHyperplane.SplitSubHyperplane.getSide()</code></a></i></div>
+</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#split(org.apache.commons.math3.geometry.partitioning.Hyperplane)">split</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;&nbsp;hyperplane)</code>
+<div class="block">Split the instance in two parts by an hyperplane.</div>
+</td>
+</tr>
+</table>
+</li>
+</ul>
+</li>
+</ul>
+</div>
+<div class="details">
+<ul class="blockList">
+<li class="blockList">
+<!-- ============ METHOD DETAIL ========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_detail">
+<!-- -->
+</a>
+<h3>Method Detail</h3>
+<a name="copySelf()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>copySelf</h4>
+<pre><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;&nbsp;copySelf()</pre>
+<div class="block">Copy the instance.
+ <p>The instance created is completely independent of the original
+ one. A deep copy is used, none of the underlying objects are
+ shared (except for the nodes attributes and immutable
+ objects).</p></div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>a new sub-hyperplane, copy of the instance</dd></dl>
+</li>
+</ul>
+<a name="getHyperplane()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getHyperplane</h4>
+<pre><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;&nbsp;getHyperplane()</pre>
+<div class="block">Get the underlying hyperplane.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>underlying hyperplane</dd></dl>
+</li>
+</ul>
+<a name="isEmpty()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>isEmpty</h4>
+<pre>boolean&nbsp;isEmpty()</pre>
+<div class="block">Check if the instance is empty.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>true if the instance is empty</dd></dl>
+</li>
+</ul>
+<a name="getSize()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getSize</h4>
+<pre>double&nbsp;getSize()</pre>
+<div class="block">Get the size of the instance.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>the size of the instance (this is a length in 1D, an area
+ in 2D, a volume in 3D ...)</dd></dl>
+</li>
+</ul>
+<a name="side(org.apache.commons.math3.geometry.partitioning.Hyperplane)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>side</h4>
+<pre><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Deprecated.html?is-external=true" title="class or interface in java.lang">@Deprecated</a>
+<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html" title="enum in org.apache.commons.math3.geometry.partitioning">Side</a>&nbsp;side(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;&nbsp;hyperplane)</pre>
+<div class="block"><span class="strong">Deprecated.</span>&nbsp;<i>as of 3.6, replaced with <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#split(org.apache.commons.math3.geometry.partitioning.Hyperplane)"><code>split(Hyperplane)</code></a>.<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html#getSide()"><code>SubHyperplane.SplitSubHyperplane.getSide()</code></a></i></div>
+<div class="block">Compute the relative position of the instance with respect
+ to an hyperplane.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>hyperplane</code> - hyperplane to check instance against</dd>
+<dt><span class="strong">Returns:</span></dt><dd>one of <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#PLUS"><code>Side.PLUS</code></a>, <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#MINUS"><code>Side.MINUS</code></a>, <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#BOTH"><code>Side.BOTH</code></a>,
+ <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#HYPER"><code>Side.HYPER</code></a></dd></dl>
+</li>
+</ul>
+<a name="split(org.apache.commons.math3.geometry.partitioning.Hyperplane)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>split</h4>
+<pre><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;&nbsp;split(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;&nbsp;hyperplane)</pre>
+<div class="block">Split the instance in two parts by an hyperplane.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>hyperplane</code> - splitting hyperplane</dd>
+<dt><span class="strong">Returns:</span></dt><dd>an object containing both the part of the instance
+ on the plus side of the hyperplane and the part of the
+ instance on the minus side of the hyperplane</dd></dl>
+</li>
+</ul>
+<a name="reunite(org.apache.commons.math3.geometry.partitioning.SubHyperplane)">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>reunite</h4>
+<pre><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;&nbsp;reunite(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</a>&gt;&nbsp;other)</pre>
+<div class="block">Compute the union of the instance and another sub-hyperplane.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>other</code> - other sub-hyperplane to union (<em>must</em> be in the
+ same hyperplane as the instance)</dd>
+<dt><span class="strong">Returns:</span></dt><dd>a new sub-hyperplane, union of the instance and other</dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</div>
+</div>
+<!-- ========= END OF CLASS DATA ========= -->
+<!-- ======= START OF BOTTOM NAVBAR ====== -->
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+</ul>
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