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<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>
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<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>
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<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>
<dt><span class="strong">Version:</span></dt>
<dd>$Id: SubHyperplane.java 1566416 2014-02-09 20:56:55Z luc $</dd></dl>
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<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>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<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">Compute the relative position of the instance with respect
to an hyperplane.</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>
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<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>
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<a name="getHyperplane()">
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<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>
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<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>
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<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>
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<h4>side</h4>
<pre><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">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>
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<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>
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<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>
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