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<div class="subTitle">org.apache.commons.math3.geometry.euclidean.twod</div>
<h2 title="Class Line" class="title">Class Line</h2>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="interface in org.apache.commons.math3.geometry.partitioning">Embedding</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;, <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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;</dd>
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<pre>public class <span class="strong">Line</span>
extends <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>
implements <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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="interface in org.apache.commons.math3.geometry.partitioning">Embedding</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</pre>
<div class="block">This class represents an oriented line in the 2D plane.
<p>An oriented line can be defined either by prolongating a line
segment between two points past these points, or by one point and
an angular direction (in trigonometric orientation).</p>
<p>Since it is oriented the two half planes at its two sides are
unambiguously identified as a left half plane and a right half
plane. This can be used to identify the interior and the exterior
in a simple way by local properties only when part of a line is
used to define part of a polygon boundary.</p>
<p>A line can also be used to completely define a reference frame
in the plane. It is sufficient to select one specific point in the
line (the orthogonal projection of the original reference frame on
the line) and to use the unit vector in the line direction and the
orthogonal vector oriented from left half plane to right half
plane. We define two coordinates by the process, the
<em>abscissa</em> along the line, and the <em>offset</em> across
the line. All points of the plane are uniquely identified by these
two coordinates. The line is the set of points at zero offset, the
left half plane is the set of points with negative offsets and the
right half plane is the set of points with positive offsets.</p></div>
<dl><dt><span class="strong">Since:</span></dt>
<dd>3.0</dd>
<dt><span class="strong">Version:</span></dt>
<dd>$Id: Line.java 1560115 2014-01-21 17:49:13Z luc $</dd></dl>
</li>
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<h3>Constructor Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colOne" scope="col">Constructor and Description</th>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#Line(org.apache.commons.math3.geometry.euclidean.twod.Line)">Line</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>&nbsp;line)</code>
<div class="block">Copy constructor.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#Line(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, double)">Line</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p,
double&nbsp;angle)</code>
<div class="block"><strong>Deprecated.</strong>&nbsp;
<div class="block"><i>as of 3.3, replaced with <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#Line(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, double, double)"><code>Line(Vector2D, double, double)</code></a></i></div>
</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#Line(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, double, double)">Line</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p,
double&nbsp;angle,
double&nbsp;tolerance)</code>
<div class="block">Build a line from a point and an angle.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#Line(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, org.apache.commons.math3.geometry.euclidean.twod.Vector2D)">Line</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p1,
<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p2)</code>
<div class="block"><strong>Deprecated.</strong>&nbsp;
<div class="block"><i>as of 3.3, replaced with <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#Line(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, org.apache.commons.math3.geometry.euclidean.twod.Vector2D, double)"><code>Line(Vector2D, Vector2D, double)</code></a></i></div>
</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#Line(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, org.apache.commons.math3.geometry.euclidean.twod.Vector2D, double)">Line</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p1,
<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p2,
double&nbsp;tolerance)</code>
<div class="block">Build a line from two points.</div>
</td>
</tr>
</table>
</li>
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<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>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#contains(org.apache.commons.math3.geometry.euclidean.twod.Vector2D)">contains</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p)</code>
<div class="block">Check if the line contains a point.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#copySelf()">copySelf</a></strong>()</code>
<div class="block">Copy the instance.</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/euclidean/twod/Line.html#distance(org.apache.commons.math3.geometry.euclidean.twod.Vector2D)">distance</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p)</code>
<div class="block">Compute the distance between the instance and a point.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#getAngle()">getAngle</a></strong>()</code>
<div class="block">Get the angle of the line.</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/euclidean/twod/Line.html#getOffset(org.apache.commons.math3.geometry.euclidean.twod.Line)">getOffset</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>&nbsp;line)</code>
<div class="block">Get the offset (oriented distance) of a parallel line.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#getOffset(org.apache.commons.math3.geometry.Point)">getOffset</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;point)</code>
<div class="block">Get the offset (oriented distance) of a point.</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/euclidean/twod/Line.html#getOffset(org.apache.commons.math3.geometry.Vector)">getOffset</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;vector)</code>
<div class="block">Get the offset (oriented distance) of a vector.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#getOriginOffset()">getOriginOffset</a></strong>()</code>
<div class="block">Get the offset of the origin.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#getPointAt(org.apache.commons.math3.geometry.euclidean.oned.Vector1D, double)">getPointAt</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;abscissa,
double&nbsp;offset)</code>
<div class="block">Get one point from the plane.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#getReverse()">getReverse</a></strong>()</code>
<div class="block">Get the reverse of the instance.</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/euclidean/twod/Line.html#getTolerance()">getTolerance</a></strong>()</code>
<div class="block">Get the tolerance below which points are considered to belong to the hyperplane.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="interface in org.apache.commons.math3.geometry.partitioning">Transform</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#getTransform(java.awt.geom.AffineTransform)">getTransform</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom">AffineTransform</a>&nbsp;transform)</code>
<div class="block">Get a <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>Transform</code></a> embedding an affine transform.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#intersection(org.apache.commons.math3.geometry.euclidean.twod.Line)">intersection</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>&nbsp;other)</code>
<div class="block">Get the intersection point of the instance and another line.</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/euclidean/twod/Line.html#isParallelTo(org.apache.commons.math3.geometry.euclidean.twod.Line)">isParallelTo</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>&nbsp;line)</code>
<div class="block">Check the instance is parallel to another line.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#project(org.apache.commons.math3.geometry.Point)">project</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;point)</code>
<div class="block">Project a point to the hyperplane.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#reset(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, double)">reset</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p,
double&nbsp;alpha)</code>
<div class="block">Reset the instance as if built from a line and an angle.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#reset(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, org.apache.commons.math3.geometry.euclidean.twod.Vector2D)">reset</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p1,
<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p2)</code>
<div class="block">Reset the instance as if built from two points.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#revertSelf()">revertSelf</a></strong>()</code>
<div class="block">Revert the instance.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#sameOrientationAs(org.apache.commons.math3.geometry.partitioning.Hyperplane)">sameOrientationAs</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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;other)</code>
<div class="block">Check if the instance has the same orientation as another hyperplane.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#setAngle(double)">setAngle</a></strong>(double&nbsp;angle)</code>
<div class="block">Set the angle of the line.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#setOriginOffset(double)">setOriginOffset</a></strong>(double&nbsp;offset)</code>
<div class="block">Set the offset of the origin.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#toSpace(org.apache.commons.math3.geometry.Point)">toSpace</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;point)</code>
<div class="block">Transform a sub-space point into a space point.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#toSpace(org.apache.commons.math3.geometry.Vector)">toSpace</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;vector)</code>
<div class="block">Transform a sub-space point into a space point.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#toSubSpace(org.apache.commons.math3.geometry.Point)">toSubSpace</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;point)</code>
<div class="block">Transform a space point into a sub-space point.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#toSubSpace(org.apache.commons.math3.geometry.Vector)">toSubSpace</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;vector)</code>
<div class="block">Transform a space point into a sub-space point.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#translateToPoint(org.apache.commons.math3.geometry.euclidean.twod.Vector2D)">translateToPoint</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p)</code>
<div class="block">Translate the line to force it passing by a point.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/SubLine.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">SubLine</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#wholeHyperplane()">wholeHyperplane</a></strong>()</code>
<div class="block">Build a sub-hyperplane covering the whole hyperplane.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/PolygonsSet.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">PolygonsSet</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#wholeSpace()">wholeSpace</a></strong>()</code>
<div class="block">Build a region covering the whole space.</div>
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
<code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</a></code></li>
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<h3>Constructor Detail</h3>
<a name="Line(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, org.apache.commons.math3.geometry.euclidean.twod.Vector2D, double)">
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<h4>Line</h4>
<pre>public&nbsp;Line(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p1,
<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p2,
double&nbsp;tolerance)</pre>
<div class="block">Build a line from two points.
<p>The line is oriented from p1 to p2</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p1</code> - first point</dd><dd><code>p2</code> - second point</dd><dd><code>tolerance</code> - tolerance below which points are considered identical</dd><dt><span class="strong">Since:</span></dt>
<dd>3.3</dd></dl>
</li>
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<h4>Line</h4>
<pre>public&nbsp;Line(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p,
double&nbsp;angle,
double&nbsp;tolerance)</pre>
<div class="block">Build a line from a point and an angle.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - point belonging to the line</dd><dd><code>angle</code> - angle of the line with respect to abscissa axis</dd><dd><code>tolerance</code> - tolerance below which points are considered identical</dd><dt><span class="strong">Since:</span></dt>
<dd>3.3</dd></dl>
</li>
</ul>
<a name="Line(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, org.apache.commons.math3.geometry.euclidean.twod.Vector2D)">
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<h4>Line</h4>
<pre><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Deprecated.html?is-external=true" title="class or interface in java.lang">@Deprecated</a>
public&nbsp;Line(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p1,
<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p2)</pre>
<div class="block"><span class="strong">Deprecated.</span>&nbsp;<i>as of 3.3, replaced with <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#Line(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, org.apache.commons.math3.geometry.euclidean.twod.Vector2D, double)"><code>Line(Vector2D, Vector2D, double)</code></a></i></div>
<div class="block">Build a line from two points.
<p>The line is oriented from p1 to p2</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p1</code> - first point</dd><dd><code>p2</code> - second point</dd></dl>
</li>
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<h4>Line</h4>
<pre><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Deprecated.html?is-external=true" title="class or interface in java.lang">@Deprecated</a>
public&nbsp;Line(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p,
double&nbsp;angle)</pre>
<div class="block"><span class="strong">Deprecated.</span>&nbsp;<i>as of 3.3, replaced with <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html#Line(org.apache.commons.math3.geometry.euclidean.twod.Vector2D, double, double)"><code>Line(Vector2D, double, double)</code></a></i></div>
<div class="block">Build a line from a point and an angle.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - point belonging to the line</dd><dd><code>angle</code> - angle of the line with respect to abscissa axis</dd></dl>
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<h4>Line</h4>
<pre>public&nbsp;Line(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>&nbsp;line)</pre>
<div class="block">Copy constructor.
<p>The created instance is completely independent from the
original instance, it is a deep copy.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>line</code> - line to copy</dd></dl>
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<h4>copySelf</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>&nbsp;copySelf()</pre>
<div class="block">Copy the instance.
<p>The instance created is completely independant of the original
one. A deep copy is used, none of the underlying objects are
shared (except for immutable objects).</p></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#copySelf()">copySelf</a></code>&nbsp;in interface&nbsp;<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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a new hyperplane, copy of the instance</dd></dl>
</li>
</ul>
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<h4>reset</h4>
<pre>public&nbsp;void&nbsp;reset(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p1,
<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p2)</pre>
<div class="block">Reset the instance as if built from two points.
<p>The line is oriented from p1 to p2</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p1</code> - first point</dd><dd><code>p2</code> - second point</dd></dl>
</li>
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<h4>reset</h4>
<pre>public&nbsp;void&nbsp;reset(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p,
double&nbsp;alpha)</pre>
<div class="block">Reset the instance as if built from a line and an angle.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - point belonging to the line</dd><dd><code>alpha</code> - angle of the line with respect to abscissa axis</dd></dl>
</li>
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<a name="revertSelf()">
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<h4>revertSelf</h4>
<pre>public&nbsp;void&nbsp;revertSelf()</pre>
<div class="block">Revert the instance.</div>
</li>
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<a name="getReverse()">
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<h4>getReverse</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>&nbsp;getReverse()</pre>
<div class="block">Get the reverse of the instance.
<p>Get a line with reversed orientation with respect to the
instance. A new object is built, the instance is untouched.</p></div>
<dl><dt><span class="strong">Returns:</span></dt><dd>a new line, with orientation opposite to the instance orientation</dd></dl>
</li>
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<a name="toSubSpace(org.apache.commons.math3.geometry.Vector)">
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<h4>toSubSpace</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;toSubSpace(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;vector)</pre>
<div class="block">Transform a space point into a sub-space point.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>vector</code> - n-dimension point of the space</dd>
<dt><span class="strong">Returns:</span></dt><dd>(n-1)-dimension point of the sub-space corresponding to
the specified space point</dd></dl>
</li>
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<a name="toSpace(org.apache.commons.math3.geometry.Vector)">
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<h4>toSpace</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;toSpace(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;vector)</pre>
<div class="block">Transform a sub-space point into a space point.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>vector</code> - (n-1)-dimension point of the sub-space</dd>
<dt><span class="strong">Returns:</span></dt><dd>n-dimension point of the space corresponding to the
specified sub-space point</dd></dl>
</li>
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<a name="toSubSpace(org.apache.commons.math3.geometry.Point)">
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;toSubSpace(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;point)</pre>
<div class="block">Transform a space point into a sub-space point.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSubSpace(org.apache.commons.math3.geometry.Point)">toSubSpace</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="interface in org.apache.commons.math3.geometry.partitioning">Embedding</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - n-dimension point of the space</dd>
<dt><span class="strong">Returns:</span></dt><dd>(n-1)-dimension point of the sub-space corresponding to
the specified space point</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSpace(org.apache.commons.math3.geometry.Point)"><code>Embedding.toSpace(org.apache.commons.math3.geometry.Point&lt;T&gt;)</code></a></dd></dl>
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<h4>toSpace</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;toSpace(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;point)</pre>
<div class="block">Transform a sub-space point into a space point.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSpace(org.apache.commons.math3.geometry.Point)">toSpace</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="interface in org.apache.commons.math3.geometry.partitioning">Embedding</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - (n-1)-dimension point of the sub-space</dd>
<dt><span class="strong">Returns:</span></dt><dd>n-dimension point of the space corresponding to the
specified sub-space point</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSubSpace(org.apache.commons.math3.geometry.Point)"><code>Embedding.toSubSpace(org.apache.commons.math3.geometry.Point&lt;S&gt;)</code></a></dd></dl>
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<h4>intersection</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;intersection(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>&nbsp;other)</pre>
<div class="block">Get the intersection point of the instance and another line.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>other</code> - other line</dd>
<dt><span class="strong">Returns:</span></dt><dd>intersection point of the instance and the other line
or null if there are no intersection points</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;project(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;point)</pre>
<div class="block">Project a point to the hyperplane.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#project(org.apache.commons.math3.geometry.Point)">project</a></code>&nbsp;in interface&nbsp;<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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - point to project</dd>
<dt><span class="strong">Returns:</span></dt><dd>projected point</dd><dt><span class="strong">Since:</span></dt>
<dd>3.3</dd></dl>
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<pre>public&nbsp;double&nbsp;getTolerance()</pre>
<div class="block">Get the tolerance below which points are considered to belong to the hyperplane.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#getTolerance()">getTolerance</a></code>&nbsp;in interface&nbsp;<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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>tolerance below which points are considered to belong to the hyperplane</dd><dt><span class="strong">Since:</span></dt>
<dd>3.3</dd></dl>
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<h4>wholeHyperplane</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/SubLine.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">SubLine</a>&nbsp;wholeHyperplane()</pre>
<div class="block">Build a sub-hyperplane covering the whole hyperplane.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#wholeHyperplane()">wholeHyperplane</a></code>&nbsp;in interface&nbsp;<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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a sub-hyperplane covering the whole hyperplane</dd></dl>
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<h4>wholeSpace</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/PolygonsSet.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">PolygonsSet</a>&nbsp;wholeSpace()</pre>
<div class="block">Build a region covering the whole space.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#wholeSpace()">wholeSpace</a></code>&nbsp;in interface&nbsp;<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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a region containing the instance (really a <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/PolygonsSet.html" title="class in org.apache.commons.math3.geometry.euclidean.twod"><code>PolygonsSet</code></a> instance)</dd></dl>
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<h4>getOffset</h4>
<pre>public&nbsp;double&nbsp;getOffset(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>&nbsp;line)</pre>
<div class="block">Get the offset (oriented distance) of a parallel line.
<p>This method should be called only for parallel lines otherwise
the result is not meaningful.</p>
<p>The offset is 0 if both lines are the same, it is
positive if the line is on the right side of the instance and
negative if it is on the left side, according to its natural
orientation.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>line</code> - line to check</dd>
<dt><span class="strong">Returns:</span></dt><dd>offset of the line</dd></dl>
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<pre>public&nbsp;double&nbsp;getOffset(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;vector)</pre>
<div class="block">Get the offset (oriented distance) of a vector.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>vector</code> - vector to check</dd>
<dt><span class="strong">Returns:</span></dt><dd>offset of the vector</dd></dl>
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<pre>public&nbsp;double&nbsp;getOffset(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;point)</pre>
<div class="block">Get the offset (oriented distance) of a point.
<p>The offset is 0 if the point is on the underlying hyperplane,
it is positive if the point is on one particular side of the
hyperplane, and it is negative if the point is on the other side,
according to the hyperplane natural orientation.</p></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#getOffset(org.apache.commons.math3.geometry.Point)">getOffset</a></code>&nbsp;in interface&nbsp;<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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - point to check</dd>
<dt><span class="strong">Returns:</span></dt><dd>offset of the point</dd></dl>
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<a name="sameOrientationAs(org.apache.commons.math3.geometry.partitioning.Hyperplane)">
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<h4>sameOrientationAs</h4>
<pre>public&nbsp;boolean&nbsp;sameOrientationAs(<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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;&nbsp;other)</pre>
<div class="block">Check if the instance has the same orientation as another hyperplane.
<p>This method is expected to be called on parallel hyperplanes. The
method should <em>not</em> re-check for parallelism, only for
orientation, typically by testing something like the sign of the
dot-products of normals.</p></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#sameOrientationAs(org.apache.commons.math3.geometry.partitioning.Hyperplane)">sameOrientationAs</a></code>&nbsp;in interface&nbsp;<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/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>other</code> - other hyperplane to check against the instance</dd>
<dt><span class="strong">Returns:</span></dt><dd>true if the instance and the other hyperplane have
the same orientation</dd></dl>
</li>
</ul>
<a name="getPointAt(org.apache.commons.math3.geometry.euclidean.oned.Vector1D, double)">
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<h4>getPointAt</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;getPointAt(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;abscissa,
double&nbsp;offset)</pre>
<div class="block">Get one point from the plane.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>abscissa</code> - desired abscissa for the point</dd><dd><code>offset</code> - desired offset for the point</dd>
<dt><span class="strong">Returns:</span></dt><dd>one point in the plane, with given abscissa and offset
relative to the line</dd></dl>
</li>
</ul>
<a name="contains(org.apache.commons.math3.geometry.euclidean.twod.Vector2D)">
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<h4>contains</h4>
<pre>public&nbsp;boolean&nbsp;contains(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p)</pre>
<div class="block">Check if the line contains a point.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - point to check</dd>
<dt><span class="strong">Returns:</span></dt><dd>true if p belongs to the line</dd></dl>
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<h4>distance</h4>
<pre>public&nbsp;double&nbsp;distance(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p)</pre>
<div class="block">Compute the distance between the instance and a point.
<p>This is a shortcut for invoking FastMath.abs(getOffset(p)),
and provides consistency with what is in the
org.apache.commons.math3.geometry.euclidean.threed.Line class.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - to check</dd>
<dt><span class="strong">Returns:</span></dt><dd>distance between the instance and the point</dd><dt><span class="strong">Since:</span></dt>
<dd>3.1</dd></dl>
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</ul>
<a name="isParallelTo(org.apache.commons.math3.geometry.euclidean.twod.Line)">
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<h4>isParallelTo</h4>
<pre>public&nbsp;boolean&nbsp;isParallelTo(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>&nbsp;line)</pre>
<div class="block">Check the instance is parallel to another line.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>line</code> - other line to check</dd>
<dt><span class="strong">Returns:</span></dt><dd>true if the instance is parallel to the other line
(they can have either the same or opposite orientations)</dd></dl>
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<a name="translateToPoint(org.apache.commons.math3.geometry.euclidean.twod.Vector2D)">
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<h4>translateToPoint</h4>
<pre>public&nbsp;void&nbsp;translateToPoint(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>&nbsp;p)</pre>
<div class="block">Translate the line to force it passing by a point.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - point by which the line should pass</dd></dl>
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<h4>getAngle</h4>
<pre>public&nbsp;double&nbsp;getAngle()</pre>
<div class="block">Get the angle of the line.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>the angle of the line with respect to the abscissa axis</dd></dl>
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<pre>public&nbsp;void&nbsp;setAngle(double&nbsp;angle)</pre>
<div class="block">Set the angle of the line.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>angle</code> - new angle of the line with respect to the abscissa axis</dd></dl>
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<pre>public&nbsp;double&nbsp;getOriginOffset()</pre>
<div class="block">Get the offset of the origin.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>the offset of the origin</dd></dl>
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<pre>public&nbsp;void&nbsp;setOriginOffset(double&nbsp;offset)</pre>
<div class="block">Set the offset of the origin.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>offset</code> - offset of the origin</dd></dl>
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<h4>getTransform</h4>
<pre>public static&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="interface in org.apache.commons.math3.geometry.partitioning">Transform</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;getTransform(<a href="http://docs.oracle.com/javase/6/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom">AffineTransform</a>&nbsp;transform)
throws <a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></pre>
<div class="block">Get a <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>Transform</code></a> embedding an affine transform.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>transform</code> - affine transform to embed (must be inversible
otherwise the <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html#apply(org.apache.commons.math3.geometry.partitioning.Hyperplane)"><code>apply(Hyperplane)</code></a> method would work only for some lines, and
fail for other ones)</dd>
<dt><span class="strong">Returns:</span></dt><dd>a new transform that can be applied to either <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod"><code>Vector2D</code></a>, <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod"><code>Line</code></a> or <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>SubHyperplane</code></a> instances</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if the transform is non invertible</dd></dl>
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