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<div class="header">
  <div class="summary">
<a href="classEigen_1_1AlignedBox-members.html">List of all members</a> &#124;
<a href="#pub-types">Public Types</a> &#124;
<a href="#pub-methods">Public Member Functions</a>  </div>
  <div class="headertitle">
<div class="title">AlignedBox&lt; _Scalar, _AmbientDim &gt; Class Template Reference<div class="ingroups"><a class="el" href="group__Geometry__Module.html">Geometry module</a></div></div>  </div>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template&lt;typename _Scalar, int _AmbientDim&gt;<br/>
class Eigen::AlignedBox&lt; _Scalar, _AmbientDim &gt;</h3>

<p>An axis aligned box. </p>
<p>This is defined in the Geometry module.</p>
<div class="fragment"><div class="line"><span class="preprocessor">#include &lt;Eigen/Geometry&gt;</span> </div>
</div><!-- fragment --><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">_Scalar</td><td>the type of the scalar coefficients </td></tr>
    <tr><td class="paramname">_AmbientDim</td><td>the dimension of the ambient space, can be a compile time value or Dynamic.</td></tr>
  </table>
  </dd>
</dl>
<p>This class represents an axis aligned box as a pair of the minimal and maximal corners. </p>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
Public Types</h2></td></tr>
<tr class="memitem:a550469de139cb6f1605cb7cb2bbc79db"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a550469de139cb6f1605cb7cb2bbc79db">CornerType</a> { <br/>
&#160;&#160;<a class="el" href="classEigen_1_1AlignedBox.html#a550469de139cb6f1605cb7cb2bbc79dbabdec2b9cc9c6321c039e5b530793c0a0">Min</a>
, <br/>
&#160;&#160;<a class="el" href="classEigen_1_1AlignedBox.html#a550469de139cb6f1605cb7cb2bbc79dbae61b9b6ea2fa75ca500d5bb1eaf6f6fc">BottomLeft</a>
, <br/>
&#160;&#160;<a class="el" href="classEigen_1_1AlignedBox.html#a550469de139cb6f1605cb7cb2bbc79dba52979d51bf12262bfda98a46dbe37a86">BottomLeftFloor</a>
<br/>
 }</td></tr>
<tr class="separator:a550469de139cb6f1605cb7cb2bbc79db"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a65c24247d90726cff7b91048a3d2a053"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a65c24247d90726cff7b91048a3d2a053">AlignedBox</a> ()</td></tr>
<tr class="separator:a65c24247d90726cff7b91048a3d2a053"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8be261176f5fc525e53d418bb96cc97d"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a8be261176f5fc525e53d418bb96cc97d">AlignedBox</a> (Index _dim)</td></tr>
<tr class="separator:a8be261176f5fc525e53d418bb96cc97d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad12d64048ccd4f491400a09005ab218e"><td class="memTemplParams" colspan="2">template&lt;typename OtherVectorType1 , typename OtherVectorType2 &gt; </td></tr>
<tr class="memitem:ad12d64048ccd4f491400a09005ab218e"><td class="memTemplItemLeft" align="right" valign="top">&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#ad12d64048ccd4f491400a09005ab218e">AlignedBox</a> (const OtherVectorType1 &amp;_min, const OtherVectorType2 &amp;_max)</td></tr>
<tr class="separator:ad12d64048ccd4f491400a09005ab218e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a430b51c80b4df1587ae4c65c77e41b72"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
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<tr class="separator:a430b51c80b4df1587ae4c65c77e41b72"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7c054078a8d070d87c529f8ea915c931"><td class="memTemplParams" colspan="2">template&lt;typename OtherScalarType &gt; </td></tr>
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<tr class="separator:a7c054078a8d070d87c529f8ea915c931"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abdc77e960c5c836224dc320abd1077cf"><td class="memTemplParams" colspan="2">template&lt;typename NewScalarType &gt; </td></tr>
<tr class="memitem:abdc77e960c5c836224dc320abd1077cf"><td class="memTemplItemLeft" align="right" valign="top">internal::cast_return_type<br class="typebreak"/>
&lt; <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a>, <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a><br class="typebreak"/>
&lt; NewScalarType, <br class="typebreak"/>
AmbientDimAtCompileTime &gt;<br class="typebreak"/>
 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#abdc77e960c5c836224dc320abd1077cf">cast</a> () const </td></tr>
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<tr class="memitem:ac2ee58233ad14003e679401a219116d5"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
&lt; internal::scalar_quotient1_op<br class="typebreak"/>
&lt; Scalar &gt;, const <br class="typebreak"/>
<a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
&lt; internal::scalar_sum_op<br class="typebreak"/>
&lt; Scalar &gt;, const <a class="el" href="classEigen_1_1Matrix.html">VectorType</a>, <br class="typebreak"/>
const <a class="el" href="classEigen_1_1Matrix.html">VectorType</a> &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#ac2ee58233ad14003e679401a219116d5">center</a> () const </td></tr>
<tr class="separator:ac2ee58233ad14003e679401a219116d5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a254af66a9538bf46354a04bc557c4771"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a254af66a9538bf46354a04bc557c4771">clamp</a> (const <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a> &amp;b)</td></tr>
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<tr class="memitem:a241f11ee94ba9b2509a1c1e663a107bf"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
<tr class="memitem:a241f11ee94ba9b2509a1c1e663a107bf"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a241f11ee94ba9b2509a1c1e663a107bf">contains</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>&lt; Derived &gt; &amp;a_p) const </td></tr>
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<tr class="memitem:a3a808a7b2d30081b831718fe8045299d"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a3a808a7b2d30081b831718fe8045299d">contains</a> (const <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a> &amp;b) const </td></tr>
<tr class="separator:a3a808a7b2d30081b831718fe8045299d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7062e3999ddc83efb5630606fc66854f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Matrix.html">VectorType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a7062e3999ddc83efb5630606fc66854f">corner</a> (<a class="el" href="classEigen_1_1AlignedBox.html#a550469de139cb6f1605cb7cb2bbc79db">CornerType</a> corner) const </td></tr>
<tr class="separator:a7062e3999ddc83efb5630606fc66854f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a719a629c0b4de31b6f8ed0a25c1ab964"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
&lt; internal::scalar_difference_op<br class="typebreak"/>
&lt; Scalar &gt;, const <a class="el" href="classEigen_1_1Matrix.html">VectorType</a>, <br class="typebreak"/>
const <a class="el" href="classEigen_1_1Matrix.html">VectorType</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a719a629c0b4de31b6f8ed0a25c1ab964">diagonal</a> () const </td></tr>
<tr class="separator:a719a629c0b4de31b6f8ed0a25c1ab964"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8809dd8f7c45e11b3f62c3fcf0175e68"><td class="memItemLeft" align="right" valign="top">Index&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a8809dd8f7c45e11b3f62c3fcf0175e68">dim</a> () const </td></tr>
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<tr class="memitem:aa07edc659ec2dba7432ad9764e776e55"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
<tr class="memitem:aa07edc659ec2dba7432ad9764e776e55"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a> &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#aa07edc659ec2dba7432ad9764e776e55">extend</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>&lt; Derived &gt; &amp;a_p)</td></tr>
<tr class="separator:aa07edc659ec2dba7432ad9764e776e55"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae25d7d20ec0b045b21b26be1cfb14dad"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#ae25d7d20ec0b045b21b26be1cfb14dad">extend</a> (const <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a> &amp;b)</td></tr>
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<tr class="memitem:aeda654b6b970d5be7f5acb3cd32e9cc2"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
<tr class="memitem:aeda654b6b970d5be7f5acb3cd32e9cc2"><td class="memTemplItemLeft" align="right" valign="top">NonInteger&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#aeda654b6b970d5be7f5acb3cd32e9cc2">exteriorDistance</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>&lt; Derived &gt; &amp;p) const </td></tr>
<tr class="separator:aeda654b6b970d5be7f5acb3cd32e9cc2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6cffb8f1abcbcd816e19a1af380fd51f"><td class="memItemLeft" align="right" valign="top">NonInteger&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a6cffb8f1abcbcd816e19a1af380fd51f">exteriorDistance</a> (const <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a> &amp;b) const </td></tr>
<tr class="separator:a6cffb8f1abcbcd816e19a1af380fd51f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0575daea2329c209ba87ab9877392afb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a0575daea2329c209ba87ab9877392afb">intersection</a> (const <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a> &amp;b) const </td></tr>
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<tr class="memitem:a89fcc80e14ed2f50d208ae08c141026e"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a89fcc80e14ed2f50d208ae08c141026e">isApprox</a> (const <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a> &amp;other, const RealScalar &amp;prec=ScalarTraits::dummy_precision()) const </td></tr>
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<tr class="memitem:a479432127ee77145cc19d6a2d1590821"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a479432127ee77145cc19d6a2d1590821">isEmpty</a> () const </td></tr>
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<tr class="memitem:ac02f2a4d7312eb91f40980adfd4e31b2"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#ac02f2a4d7312eb91f40980adfd4e31b2">isNull</a> () const </td></tr>
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<tr class="memitem:ac4b28966688278dc5c75317ad247a56d"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Matrix.html">VectorType</a> &amp;()&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#ac4b28966688278dc5c75317ad247a56d">max</a> () const </td></tr>
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<tr class="memitem:aec855ed1ec57d99ba97b7c19f2c14c1a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Matrix.html">VectorType</a> &amp;()&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#aec855ed1ec57d99ba97b7c19f2c14c1a">max</a> ()</td></tr>
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<tr class="memitem:a5d0163aac9ba4386495c0f55874928ed"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a5d0163aac9ba4386495c0f55874928ed">merged</a> (const <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a> &amp;b) const </td></tr>
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<tr class="memitem:a0932584c49b7955f4aceeb402fca3f73"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Matrix.html">VectorType</a> &amp;()&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a0932584c49b7955f4aceeb402fca3f73">min</a> () const </td></tr>
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<tr class="memitem:ac95684b9162e286c96faf0f6cefe7ea0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#ac95684b9162e286c96faf0f6cefe7ea0">setEmpty</a> ()</td></tr>
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<tr class="memitem:a4f90815de0ec31caa8a106b55d235841"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
&lt; internal::scalar_difference_op<br class="typebreak"/>
&lt; Scalar &gt;, const <a class="el" href="classEigen_1_1Matrix.html">VectorType</a>, <br class="typebreak"/>
const <a class="el" href="classEigen_1_1Matrix.html">VectorType</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a4f90815de0ec31caa8a106b55d235841">sizes</a> () const </td></tr>
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<tr class="memitem:a8c1962f5f9c775de3b8fbbd29c6037da"><td class="memItemLeft" align="right" valign="top">Scalar&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1AlignedBox.html#a8c1962f5f9c775de3b8fbbd29c6037da">volume</a> () const </td></tr>
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<h2 class="groupheader">Member Enumeration Documentation</h2>
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<p>Define constants to name the corners of a 1D, 2D or 3D axis aligned bounding box </p>
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<p>1D names </p>
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<p>Added names for 2D </p>
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<p>Added names for 3D </p>
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<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<p>Default constructor initializing a null box. </p>

<p>References <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a>, and <a class="el" href="classEigen_1_1AlignedBox.html#ac95684b9162e286c96faf0f6cefe7ea0">AlignedBox&lt; _Scalar, _AmbientDim &gt;::setEmpty()</a>.</p>

<p>Referenced by <a class="el" href="classEigen_1_1AlignedBox.html#abdc77e960c5c836224dc320abd1077cf">AlignedBox&lt; _Scalar, _AmbientDim &gt;::cast()</a>, <a class="el" href="classEigen_1_1AlignedBox.html#a0575daea2329c209ba87ab9877392afb">AlignedBox&lt; _Scalar, _AmbientDim &gt;::intersection()</a>, and <a class="el" href="classEigen_1_1AlignedBox.html#a5d0163aac9ba4386495c0f55874928ed">AlignedBox&lt; _Scalar, _AmbientDim &gt;::merged()</a>.</p>

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<p>Constructs a null box with <em>_dim</em> the dimension of the ambient space. </p>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#ac95684b9162e286c96faf0f6cefe7ea0">AlignedBox&lt; _Scalar, _AmbientDim &gt;::setEmpty()</a>.</p>

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<p>Constructs a box with extremities <em>_min</em> and <em>_max</em>. </p>

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<p>Constructs a box containing a single point <em>p</em>. </p>

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<p>Copy constructor with scalar type conversion </p>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#ac4b28966688278dc5c75317ad247a56d">AlignedBox&lt; _Scalar, _AmbientDim &gt;::max()</a>, and <a class="el" href="classEigen_1_1AlignedBox.html#a0932584c49b7955f4aceeb402fca3f73">AlignedBox&lt; _Scalar, _AmbientDim &gt;::min()</a>.</p>

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<h2 class="groupheader">Member Function Documentation</h2>
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          <td class="memname">internal::cast_return_type&lt;<a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a>, <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a>&lt;NewScalarType,AmbientDimAtCompileTime&gt; &gt;::type cast </td>
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<dl class="section return"><dt>Returns</dt><dd><code>*this</code> with scalar type casted to <em>NewScalarType</em> </dd></dl>
<p>Note that if <em>NewScalarType</em> is equal to the current scalar type of <code>*this</code> then this function smartly returns a const reference to <code>*this</code>. </p>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#a65c24247d90726cff7b91048a3d2a053">AlignedBox&lt; _Scalar, _AmbientDim &gt;::AlignedBox()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>the center of the box </dd></dl>

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<p>Clamps <code>*this</code> by the box <em>b</em> and returns a reference to <code>*this</code>. </p>

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<dl class="section return"><dt>Returns</dt><dd>true if the point <em>p</em> is inside the box <code>*this</code>. </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>true if the box <em>b</em> is entirely inside the box <code>*this</code>. </dd></dl>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#ac4b28966688278dc5c75317ad247a56d">AlignedBox&lt; _Scalar, _AmbientDim &gt;::max()</a>, and <a class="el" href="classEigen_1_1AlignedBox.html#a0932584c49b7955f4aceeb402fca3f73">AlignedBox&lt; _Scalar, _AmbientDim &gt;::min()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>the vertex of the bounding box at the corner defined by the corner-id corner. It works only for a 1D, 2D or 3D bounding box. For 1D bounding boxes corners are named by 2 enum constants: BottomLeft and BottomRight. For 2D bounding boxes, corners are named by 4 enum constants: BottomLeft, BottomRight, TopLeft, TopRight. For 3D bounding boxes, the following names are added: BottomLeftCeil, BottomRightCeil, TopLeftCeil, TopRightCeil. </dd></dl>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#a8809dd8f7c45e11b3f62c3fcf0175e68">AlignedBox&lt; _Scalar, _AmbientDim &gt;::dim()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>an expression for the bounding box diagonal vector if the length of the diagonal is needed: <a class="el" href="classEigen_1_1AlignedBox.html#a719a629c0b4de31b6f8ed0a25c1ab964">diagonal()</a>.norm() will provide it. </dd></dl>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#a4f90815de0ec31caa8a106b55d235841">AlignedBox&lt; _Scalar, _AmbientDim &gt;::sizes()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>the dimension in which the box holds </dd></dl>

<p>References <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a>.</p>

<p>Referenced by <a class="el" href="classEigen_1_1AlignedBox.html#a7062e3999ddc83efb5630606fc66854f">AlignedBox&lt; _Scalar, _AmbientDim &gt;::corner()</a>, and <a class="el" href="classEigen_1_1AlignedBox.html#ab7b22de07fd70e4b818df179d427b40c">AlignedBox&lt; _Scalar, _AmbientDim &gt;::sample()</a>.</p>

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<p>Extends <code>*this</code> such that it contains the point <em>p</em> and returns a reference to <code>*this</code>. </p>

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<p>Extends <code>*this</code> such that it contains the box <em>b</em> and returns a reference to <code>*this</code>. </p>

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<dl class="section return"><dt>Returns</dt><dd>the distance between the point <em>p</em> and the box <code>*this</code>, and zero if <em>p</em> is inside the box. </dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1AlignedBox.html#a70ef5d7c9573639962c3aba090ff8337">squaredExteriorDistance()</a> </dd></dl>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#a70ef5d7c9573639962c3aba090ff8337">AlignedBox&lt; _Scalar, _AmbientDim &gt;::squaredExteriorDistance()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>the distance between the boxes <em>b</em> and <code>*this</code>, and zero if the boxes intersect. </dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1AlignedBox.html#a70ef5d7c9573639962c3aba090ff8337">squaredExteriorDistance()</a> </dd></dl>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#a70ef5d7c9573639962c3aba090ff8337">AlignedBox&lt; _Scalar, _AmbientDim &gt;::squaredExteriorDistance()</a>.</p>

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<p>Returns an <a class="el" href="classEigen_1_1AlignedBox.html" title="An axis aligned box. ">AlignedBox</a> that is the intersection of <em>b</em> and <code>*this</code> </p>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#a65c24247d90726cff7b91048a3d2a053">AlignedBox&lt; _Scalar, _AmbientDim &gt;::AlignedBox()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd><code>true</code> if <code>*this</code> is approximately equal to <em>other</em>, within the precision determined by <em>prec</em>.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">MatrixBase::isApprox()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>true if the box is empty. </dd></dl>

<p>Referenced by <a class="el" href="classEigen_1_1AlignedBox.html#ac02f2a4d7312eb91f40980adfd4e31b2">AlignedBox&lt; _Scalar, _AmbientDim &gt;::isNull()</a>.</p>

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<p>References <a class="el" href="classEigen_1_1AlignedBox.html#a479432127ee77145cc19d6a2d1590821">AlignedBox&lt; _Scalar, _AmbientDim &gt;::isEmpty()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>the maximal corner </dd></dl>

<p>Referenced by <a class="el" href="classEigen_1_1AlignedBox.html#a7c054078a8d070d87c529f8ea915c931">AlignedBox&lt; _Scalar, _AmbientDim &gt;::AlignedBox()</a>, and <a class="el" href="classEigen_1_1AlignedBox.html#a3a808a7b2d30081b831718fe8045299d">AlignedBox&lt; _Scalar, _AmbientDim &gt;::contains()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>a non const reference to the maximal corner </dd></dl>

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<p>Returns an <a class="el" href="classEigen_1_1AlignedBox.html" title="An axis aligned box. ">AlignedBox</a> that is the union of <em>b</em> and <code>*this</code> </p>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#a65c24247d90726cff7b91048a3d2a053">AlignedBox&lt; _Scalar, _AmbientDim &gt;::AlignedBox()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>the minimal corner </dd></dl>

<p>Referenced by <a class="el" href="classEigen_1_1AlignedBox.html#a7c054078a8d070d87c529f8ea915c931">AlignedBox&lt; _Scalar, _AmbientDim &gt;::AlignedBox()</a>, and <a class="el" href="classEigen_1_1AlignedBox.html#a3a808a7b2d30081b831718fe8045299d">AlignedBox&lt; _Scalar, _AmbientDim &gt;::contains()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>a non const reference to the minimal corner </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a random point inside the bounding box sampled with a uniform distribution </dd></dl>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#a8809dd8f7c45e11b3f62c3fcf0175e68">AlignedBox&lt; _Scalar, _AmbientDim &gt;::dim()</a>.</p>

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<p>Makes <code>*this</code> an empty box. </p>

<p>References <a class="el" href="classEigen_1_1PlainObjectBase.html#aabcf7b6f4543f6255253b9ccee3309b8">PlainObjectBase&lt; Derived &gt;::setConstant()</a>.</p>

<p>Referenced by <a class="el" href="classEigen_1_1AlignedBox.html#a65c24247d90726cff7b91048a3d2a053">AlignedBox&lt; _Scalar, _AmbientDim &gt;::AlignedBox()</a>, and <a class="el" href="classEigen_1_1AlignedBox.html#a91e28e1274cd18a6413c67bf55356cf6">AlignedBox&lt; _Scalar, _AmbientDim &gt;::setNull()</a>.</p>

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<p>References <a class="el" href="classEigen_1_1AlignedBox.html#ac95684b9162e286c96faf0f6cefe7ea0">AlignedBox&lt; _Scalar, _AmbientDim &gt;::setEmpty()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>the lengths of the sides of the bounding box. Note that this function does not get the same result for integral or floating scalar types: see </dd></dl>

<p>Referenced by <a class="el" href="classEigen_1_1AlignedBox.html#a719a629c0b4de31b6f8ed0a25c1ab964">AlignedBox&lt; _Scalar, _AmbientDim &gt;::diagonal()</a>, and <a class="el" href="classEigen_1_1AlignedBox.html#a8c1962f5f9c775de3b8fbbd29c6037da">AlignedBox&lt; _Scalar, _AmbientDim &gt;::volume()</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>the squared distance between the point <em>p</em> and the box <code>*this</code>, and zero if <em>p</em> is inside the box. </dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1AlignedBox.html#aeda654b6b970d5be7f5acb3cd32e9cc2">exteriorDistance()</a> </dd></dl>

<p>Referenced by <a class="el" href="classEigen_1_1AlignedBox.html#aeda654b6b970d5be7f5acb3cd32e9cc2">AlignedBox&lt; _Scalar, _AmbientDim &gt;::exteriorDistance()</a>.</p>

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          <td class="memname">Scalar squaredExteriorDistance </td>
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          <td class="paramtype">const <a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a>&lt; _Scalar, _AmbientDim &gt; &amp;&#160;</td>
          <td class="paramname"><em>b</em></td><td>)</td>
          <td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the squared distance between the boxes <em>b</em> and <code>*this</code>, and zero if the boxes intersect. </dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1AlignedBox.html#aeda654b6b970d5be7f5acb3cd32e9cc2">exteriorDistance()</a> </dd></dl>

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          <td class="memname"><a class="el" href="classEigen_1_1AlignedBox.html">AlignedBox</a>&amp; translate </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>&lt; Derived &gt; &amp;&#160;</td>
          <td class="paramname"><em>a_t</em></td><td>)</td>
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<p>Translate <code>*this</code> by the vector <em>t</em> and returns a reference to <code>*this</code>. </p>

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          <td class="memname">Scalar volume </td>
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<dl class="section return"><dt>Returns</dt><dd>the volume of the bounding box </dd></dl>

<p>References <a class="el" href="classEigen_1_1AlignedBox.html#a4f90815de0ec31caa8a106b55d235841">AlignedBox&lt; _Scalar, _AmbientDim &gt;::sizes()</a>.</p>

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<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="AlignedBox_8h_source.html">AlignedBox.h</a></li>
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