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<a href="classEigen_1_1Homogeneous-members.html">List of all members</a> |
<a href="#pub-types">Public Types</a> |
<a href="#pub-methods">Public Member Functions</a> |
<a href="#pub-static-methods">Static Public Member Functions</a> |
<a href="#related">Related Functions</a> </div>
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<div class="title">Homogeneous< MatrixType, Direction > 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<typename MatrixType, int Direction><br/>
class Eigen::Homogeneous< MatrixType, Direction ></h3>
<p>Expression of one (or a set of) homogeneous vector(s) </p>
<p>This is defined in the Geometry module.</p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Geometry></span> </div>
</div><!-- fragment --><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">MatrixType</td><td>the type of the object in which we are making homogeneous</td></tr>
</table>
</dd>
</dl>
<p>This class represents an expression of one (or a set of) homogeneous vector(s). It is the return type of <a class="el" href="classEigen_1_1MatrixBase.html#af3513a0abfc3875e6d1912b8bb7b28ac">MatrixBase::homogeneous()</a> and most of the time this is the only way it is used.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#af3513a0abfc3875e6d1912b8bb7b28ac">MatrixBase::homogeneous()</a> </dd></dl>
</div><div id="dynsection-0" onclick="return toggleVisibility(this)" class="dynheader closed" style="cursor:pointer;">
<img id="dynsection-0-trigger" src="closed.png" alt="+"/> Inheritance diagram for Homogeneous< MatrixType, Direction >:</div>
<div id="dynsection-0-summary" class="dynsummary" style="display:block;">
</div>
<div id="dynsection-0-content" class="dyncontent" style="display:none;">
<div class="center"><img src="classEigen_1_1Homogeneous__inherit__graph.png" border="0" usemap="#Homogeneous_3_01MatrixType_00_01Direction_01_4_inherit__map" alt="Inheritance graph"/></div>
<map name="Homogeneous_3_01MatrixType_00_01Direction_01_4_inherit__map" id="Homogeneous_3_01MatrixType_00_01Direction_01_4_inherit__map">
<area shape="rect" id="node2" href="classEigen_1_1MatrixBase.html" title="{MatrixBase\< Homogeneous\l\< MatrixType, _Direction \> \>\n||+ adjoint()\l+ adjointInPlace()\l+ applyHouseholderOnTheLeft()\l+ applyHouseholderOnTheRight()\l+ applyOnTheLeft()\l+ applyOnTheLeft()\l+ applyOnTheRight()\l+ applyOnTheRight()\l+ array()\l+ array()\land 113 more...\l+ Identity()\l+ Identity()\l+ Unit()\l+ Unit()\l+ UnitW()\l+ UnitX()\l+ UnitY()\l+ UnitZ()\l# MatrixBase()\l# operator+=()\l# operator-=()\l}" alt="" coords="5,483,221,883"/><area shape="rect" id="node3" href="classEigen_1_1DenseBase.html" title="Base class for all dense matrices, vectors, and arrays. " alt="" coords="18,5,208,435"/></map>
</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:a1be3860693af99a6c1da72580097294c"><td class="memItemLeft" align="right" valign="top">enum  </td><td class="memItemRight" valign="bottom">{ <br/>
  <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca38ab482a62bf46f6ed6dcc4e9dd0dddf">RowsAtCompileTime</a>,
<br/>
  <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cae943bdba893721a848dfcd03db756b22">ColsAtCompileTime</a>,
<br/>
  <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cab30be5c02d7a124ec165d2ab6c5b05ed">SizeAtCompileTime</a>,
<br/>
  <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca1264a9a69c437cbe0f8e723d88471c4a">MaxRowsAtCompileTime</a>,
<br/>
  <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cac9998fd25639e32ba4d58d67bfff4420">MaxColsAtCompileTime</a>,
<br/>
  <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cacf4ecb7db5a851c1ff90ae7621ab3fd1">MaxSizeAtCompileTime</a>,
<br/>
  <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca7e22277c8f0a1a76dd0d6c62e366b59f">IsVectorAtCompileTime</a>,
<br/>
  <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca96296863b401484bc191339414c90e6b">Flags</a>,
<br/>
  <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca247b0f8b0eb0bfd5e253eb1e4b61436b">IsRowMajor</a>
, <br/>
  <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca17c43b803133ba4f73b417edcbfb8206">CoeffReadCost</a>
<br/>
}</td></tr>
<tr class="separator:a1be3860693af99a6c1da72580097294c"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4d4873e91be950c079f067fa97fd5c40"><td class="memItemLeft" align="right" valign="top">typedef internal::traits<br class="typebreak"/>
< Derived >::<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a></td></tr>
<tr class="memdesc:a4d4873e91be950c079f067fa97fd5c40"><td class="mdescLeft"> </td><td class="mdescRight">The type of indices. <a href="#a4d4873e91be950c079f067fa97fd5c40">More...</a><br/></td></tr>
<tr class="separator:a4d4873e91be950c079f067fa97fd5c40"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac33495a0e3788e5951670c392b44d9ad"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classEigen_1_1Matrix.html">Matrix</a>< typename <br class="typebreak"/>
internal::traits< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
>::Scalar, internal::traits<br class="typebreak"/>
< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, <br class="typebreak"/>
_Direction ><br class="typebreak"/>
>::<a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca38ab482a62bf46f6ed6dcc4e9dd0dddf">RowsAtCompileTime</a>, <br class="typebreak"/>
internal::traits< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
>::<a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cae943bdba893721a848dfcd03db756b22">ColsAtCompileTime</a>, <br class="typebreak"/>
<a class="el" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda02a97bb4792f98916a1156a521fa9813">AutoAlign</a>|(internal::traits<br class="typebreak"/>
< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, <br class="typebreak"/>
_Direction > >::<a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca96296863b401484bc191339414c90e6b">Flags</a> <br class="typebreak"/>
&<a class="el" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>?RowMajor:ColMajor), <br class="typebreak"/>
internal::traits< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
>::<a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca1264a9a69c437cbe0f8e723d88471c4a">MaxRowsAtCompileTime</a>, <br class="typebreak"/>
internal::traits< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
>::<a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cac9998fd25639e32ba4d58d67bfff4420">MaxColsAtCompileTime</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#ac33495a0e3788e5951670c392b44d9ad">PlainObject</a></td></tr>
<tr class="memdesc:ac33495a0e3788e5951670c392b44d9ad"><td class="mdescLeft"> </td><td class="mdescRight">The plain matrix type corresponding to this expression. <a href="#ac33495a0e3788e5951670c392b44d9ad">More...</a><br/></td></tr>
<tr class="separator:ac33495a0e3788e5951670c392b44d9ad"><td class="memSeparator" colspan="2"> </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:aea914316af61df197f21629e14e7870a"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aea914316af61df197f21629e14e7870a">all</a> (void) const </td></tr>
<tr class="separator:aea914316af61df197f21629e14e7870a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac1dba91a5de689327121c20af5a5c18a"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ac1dba91a5de689327121c20af5a5c18a">allFinite</a> () const </td></tr>
<tr class="separator:ac1dba91a5de689327121c20af5a5c18a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a42571e028736ca9103bac8b50f269824"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a42571e028736ca9103bac8b50f269824">any</a> (void) const </td></tr>
<tr class="separator:a42571e028736ca9103bac8b50f269824"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4545be7a9af33ba337a4ebb0101395fd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1ArrayWrapper.html">ArrayWrapper</a>< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a4545be7a9af33ba337a4ebb0101395fd">array</a> ()</td></tr>
<tr class="separator:a4545be7a9af33ba337a4ebb0101395fd"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac00eb88e0d7599b8a2881715d3e4b35f"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< CustomBinaryOp, const <br class="typebreak"/>
<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, <br class="typebreak"/>
_Direction >, const <br class="typebreak"/>
OtherDerived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#ac00eb88e0d7599b8a2881715d3e4b35f">binaryExpr</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > &other, const CustomBinaryOp &func=CustomBinaryOp()) const</td></tr>
<tr class="separator:ac00eb88e0d7599b8a2881715d3e4b35f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1dbaa2fc7b809720407130f48dfacf8f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startRow, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startCol, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> blockRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> blockCols)</td></tr>
<tr class="separator:a1dbaa2fc7b809720407130f48dfacf8f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ace64451d903a49f7627cb3b87257c801"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ace64451d903a49f7627cb3b87257c801">block</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startRow, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startCol, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> blockRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> blockCols) const </td></tr>
<tr class="separator:ace64451d903a49f7627cb3b87257c801"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3e433315822db2811a65e88c70672743"><td class="memTemplParams" colspan="2">template<int BlockRows, int BlockCols> </td></tr>
<tr class="memitem:a3e433315822db2811a65e88c70672743"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived, BlockRows, <br class="typebreak"/>
BlockCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a3e433315822db2811a65e88c70672743">block</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startRow, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startCol)</td></tr>
<tr class="separator:a3e433315822db2811a65e88c70672743"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a40f9466c400c6dc5779380124e37bf7f"><td class="memTemplParams" colspan="2">template<int BlockRows, int BlockCols> </td></tr>
<tr class="memitem:a40f9466c400c6dc5779380124e37bf7f"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived, <br class="typebreak"/>
BlockRows, BlockCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a40f9466c400c6dc5779380124e37bf7f">block</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startRow, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startCol) const </td></tr>
<tr class="separator:a40f9466c400c6dc5779380124e37bf7f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a9d35d793f33794df591242d942f98d65"><td class="memTemplParams" colspan="2">template<int BlockRows, int BlockCols> </td></tr>
<tr class="memitem:a9d35d793f33794df591242d942f98d65"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived, BlockRows, <br class="typebreak"/>
BlockCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a9d35d793f33794df591242d942f98d65">block</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startRow, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startCol, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> blockRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> blockCols)</td></tr>
<tr class="separator:a9d35d793f33794df591242d942f98d65"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a13fc71e26059f25c5a0de1ebbdfe3375"><td class="memTemplParams" colspan="2">template<int BlockRows, int BlockCols> </td></tr>
<tr class="memitem:a13fc71e26059f25c5a0de1ebbdfe3375"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived, <br class="typebreak"/>
BlockRows, BlockCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a13fc71e26059f25c5a0de1ebbdfe3375">block</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startRow, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startCol, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> blockRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> blockCols) const </td></tr>
<tr class="separator:a13fc71e26059f25c5a0de1ebbdfe3375"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a641cf096441faf5ab490c4973c719c7a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a641cf096441faf5ab490c4973c719c7a">bottomLeftCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols)</td></tr>
<tr class="separator:a641cf096441faf5ab490c4973c719c7a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:abd00a289a3033ba0802cb55c23910874"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#abd00a289a3033ba0802cb55c23910874">bottomLeftCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols) const </td></tr>
<tr class="separator:abd00a289a3033ba0802cb55c23910874"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a243a44832e36d2bf5d0d8d17d1505900"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a243a44832e36d2bf5d0d8d17d1505900"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived, CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a243a44832e36d2bf5d0d8d17d1505900">bottomLeftCorner</a> ()</td></tr>
<tr class="separator:a243a44832e36d2bf5d0d8d17d1505900"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a7fa849b36665dcca6316f05a634e6540"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a7fa849b36665dcca6316f05a634e6540"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived, <br class="typebreak"/>
CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a7fa849b36665dcca6316f05a634e6540">bottomLeftCorner</a> () const </td></tr>
<tr class="separator:a7fa849b36665dcca6316f05a634e6540"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a7a305fa6d02685ea21c9050617d837d6"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a7a305fa6d02685ea21c9050617d837d6"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived, CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a7a305fa6d02685ea21c9050617d837d6">bottomLeftCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols)</td></tr>
<tr class="separator:a7a305fa6d02685ea21c9050617d837d6"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a878151caf2ff25ebbc76186485f81207"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a878151caf2ff25ebbc76186485f81207"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived, <br class="typebreak"/>
CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a878151caf2ff25ebbc76186485f81207">bottomLeftCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols) const </td></tr>
<tr class="separator:a878151caf2ff25ebbc76186485f81207"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2b9618f3c9eb4d4c9813ae8f6a8e70c5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a2b9618f3c9eb4d4c9813ae8f6a8e70c5">bottomRightCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols)</td></tr>
<tr class="separator:a2b9618f3c9eb4d4c9813ae8f6a8e70c5"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a26cfa9c974065fc714cdaf7a5fdbe1ed"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a26cfa9c974065fc714cdaf7a5fdbe1ed">bottomRightCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols) const </td></tr>
<tr class="separator:a26cfa9c974065fc714cdaf7a5fdbe1ed"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a6563b16b601d9fd66340ab04d101f9d1"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a6563b16b601d9fd66340ab04d101f9d1"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived, CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a6563b16b601d9fd66340ab04d101f9d1">bottomRightCorner</a> ()</td></tr>
<tr class="separator:a6563b16b601d9fd66340ab04d101f9d1"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa0b8870679a8b100f24a8eecf1ac3477"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:aa0b8870679a8b100f24a8eecf1ac3477"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived, <br class="typebreak"/>
CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aa0b8870679a8b100f24a8eecf1ac3477">bottomRightCorner</a> () const </td></tr>
<tr class="separator:aa0b8870679a8b100f24a8eecf1ac3477"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a13b796ff9732af7ec072455513480bd4"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a13b796ff9732af7ec072455513480bd4"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived, CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a13b796ff9732af7ec072455513480bd4">bottomRightCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols)</td></tr>
<tr class="separator:a13b796ff9732af7ec072455513480bd4"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a10f1d3781d0dbcf80b79087c5acad5f5"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a10f1d3781d0dbcf80b79087c5acad5f5"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived, <br class="typebreak"/>
CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a10f1d3781d0dbcf80b79087c5acad5f5">bottomRightCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols) const </td></tr>
<tr class="separator:a10f1d3781d0dbcf80b79087c5acad5f5"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:afe61d23353a75d7034f7b44ff02aaea1"><td class="memItemLeft" align="right" valign="top">RowsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#afe61d23353a75d7034f7b44ff02aaea1">bottomRows</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> n)</td></tr>
<tr class="separator:afe61d23353a75d7034f7b44ff02aaea1"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ae5959de43ccb180fbd4ad44002441a52"><td class="memItemLeft" align="right" valign="top">ConstRowsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ae5959de43ccb180fbd4ad44002441a52">bottomRows</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> n) const </td></tr>
<tr class="separator:ae5959de43ccb180fbd4ad44002441a52"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4809c823f0179782a50409c5444b55a1"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:a4809c823f0179782a50409c5444b55a1"><td class="memTemplItemLeft" align="right" valign="top">NRowsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a4809c823f0179782a50409c5444b55a1">bottomRows</a> ()</td></tr>
<tr class="separator:a4809c823f0179782a50409c5444b55a1"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2a0e94a9eca5418753083c42fd30deaf"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:a2a0e94a9eca5418753083c42fd30deaf"><td class="memTemplItemLeft" align="right" valign="top">ConstNRowsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a2a0e94a9eca5418753083c42fd30deaf">bottomRows</a> () const </td></tr>
<tr class="separator:a2a0e94a9eca5418753083c42fd30deaf"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a660200abaf1fc4b888330a37d6132b76"><td class="memItemLeft" align="right" valign="top">internal::cast_return_type<br class="typebreak"/>
< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, <br class="typebreak"/>
_Direction >, const <br class="typebreak"/>
<a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
< internal::scalar_cast_op<br class="typebreak"/>
< typename internal::traits<br class="typebreak"/>
< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, <br class="typebreak"/>
_Direction > >::Scalar, <br class="typebreak"/>
NewType >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
> >::type </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a660200abaf1fc4b888330a37d6132b76">cast</a> () const</td></tr>
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<tr class="memitem:a58c77695de3b33405f01f2fdf3dc389d"><td class="memItemLeft" align="right" valign="top">ColXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a58c77695de3b33405f01f2fdf3dc389d">col</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> i)</td></tr>
<tr class="separator:a58c77695de3b33405f01f2fdf3dc389d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a390f7c534678354959dd587080b82c2c"><td class="memItemLeft" align="right" valign="top">ConstColXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a390f7c534678354959dd587080b82c2c">col</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> i) const </td></tr>
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<tr class="memitem:a49a617f24129ca31a27fe8a67ec20370"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1VectorwiseOp.html">ConstColwiseReturnType</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a49a617f24129ca31a27fe8a67ec20370">colwise</a> () const </td></tr>
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<tr class="memitem:abe7ae69362c464b6721adbb47c655874"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1VectorwiseOp.html">ColwiseReturnType</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#abe7ae69362c464b6721adbb47c655874">colwise</a> ()</td></tr>
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<tr class="memitem:aab6c2241712d7faf07019a0d86d3fb79"><td class="memItemLeft" align="right" valign="top">ConjugateReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#aab6c2241712d7faf07019a0d86d3fb79">conjugate</a> () const</td></tr>
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<tr class="memitem:aa671b5ea336ba21a7644d3fa6577ee00"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aa671b5ea336ba21a7644d3fa6577ee00">count</a> () const </td></tr>
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<tr class="memitem:ab4d8398a4497e4a888cfc11c51c14a81"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
< internal::scalar_abs_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#ab4d8398a4497e4a888cfc11c51c14a81">cwiseAbs</a> () const</td></tr>
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<tr class="memitem:abc9cb99dcb93caf0c3c37860aeef30b2"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
< internal::scalar_abs2_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#abc9cb99dcb93caf0c3c37860aeef30b2">cwiseAbs2</a> () const</td></tr>
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<tr class="memitem:a2373e043b49396e152523e85b0a2ace8"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< std::equal_to< Scalar ><br class="typebreak"/>
, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
, const OtherDerived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a2373e043b49396e152523e85b0a2ace8">cwiseEqual</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > &other) const</td></tr>
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<tr class="memitem:ae1f241762b604c2117232c5c994068bb"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
< std::binder1st<br class="typebreak"/>
< std::equal_to< Scalar ><br class="typebreak"/>
>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#ae1f241762b604c2117232c5c994068bb">cwiseEqual</a> (const Scalar &s) const</td></tr>
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<tr class="memitem:a433cd5f8e17b2662c4081ec798fa54be"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
< internal::scalar_inverse_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a433cd5f8e17b2662c4081ec798fa54be">cwiseInverse</a> () const</td></tr>
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<tr class="memitem:aa1a53029c0ee62fb8875ce3c12151eda"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< internal::scalar_max_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
, const OtherDerived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#aa1a53029c0ee62fb8875ce3c12151eda">cwiseMax</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > &other) const</td></tr>
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<tr class="memitem:a7e985c7a4f692584865b9ec9e7d5780c"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< internal::scalar_max_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
, const ConstantReturnType > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a7e985c7a4f692584865b9ec9e7d5780c">cwiseMax</a> (const Scalar &other) const</td></tr>
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<tr class="memitem:afc17a621f5682e6eba6a1c439174d550"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< internal::scalar_min_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
, const OtherDerived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#afc17a621f5682e6eba6a1c439174d550">cwiseMin</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > &other) const</td></tr>
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<tr class="memitem:ac02d0af0ea867d6b1cc0cc4db0e1d480"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< internal::scalar_min_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
, const ConstantReturnType > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#ac02d0af0ea867d6b1cc0cc4db0e1d480">cwiseMin</a> (const Scalar &other) const</td></tr>
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<tr class="memitem:ac3f5276480c741953c66498a078ecd30"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< std::not_equal_to< Scalar ><br class="typebreak"/>
, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
, const OtherDerived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#ac3f5276480c741953c66498a078ecd30">cwiseNotEqual</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > &other) const</td></tr>
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<tr class="memitem:ae759f49ab64f4d454e591bf610a09156"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< internal::scalar_product_op<br class="typebreak"/>
< typename <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
::Scalar, typename <br class="typebreak"/>
OtherDerived::Scalar >, const <br class="typebreak"/>
<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, <br class="typebreak"/>
_Direction >, const <br class="typebreak"/>
OtherDerived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#ae759f49ab64f4d454e591bf610a09156">cwiseProduct</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > &other) const</td></tr>
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<tr class="memitem:aa36bff7d4e9186e4fbed250b15ad9e36"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< internal::scalar_quotient_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
, const OtherDerived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#aa36bff7d4e9186e4fbed250b15ad9e36">cwiseQuotient</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > &other) const</td></tr>
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<tr class="memitem:a88945ad7d126468c10e299e896bf0d1e"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
< internal::scalar_sqrt_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a88945ad7d126468c10e299e896bf0d1e">cwiseSqrt</a> () const</td></tr>
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<tr class="memitem:a41c29f54b9da54e37fbe1756a0da7013"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a41c29f54b9da54e37fbe1756a0da7013">diagonalSize</a> () const</td></tr>
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<tr class="memitem:a6cb26f170dd440dfafe11117cf826334"><td class="memItemLeft" align="right" valign="top">EvalReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a6cb26f170dd440dfafe11117cf826334">eval</a> () const </td></tr>
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<tr class="memitem:a98692bec8f3d859f1e7a60eab87ac571"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a98692bec8f3d859f1e7a60eab87ac571">fill</a> (const Scalar &<a class="el" href="classEigen_1_1DenseBase.html#adf21a576b8f3a10bb141b8afd173b13d">value</a>)</td></tr>
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<tr class="memitem:afcbba97b05d9a88657783dfc4f931f3f"><td class="memTemplParams" colspan="2">template<unsigned int Added, unsigned int Removed> </td></tr>
<tr class="memitem:afcbba97b05d9a88657783dfc4f931f3f"><td class="memTemplItemLeft" align="right" valign="top">const Flagged< Derived, Added, <br class="typebreak"/>
Removed > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#afcbba97b05d9a88657783dfc4f931f3f">flagged</a> () const </td></tr>
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<tr class="memitem:aa364b60e6a2a124ea7392e4c0550fb4e"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1WithFormat.html">WithFormat</a>< Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aa364b60e6a2a124ea7392e4c0550fb4e">format</a> (const <a class="el" href="structEigen_1_1IOFormat.html">IOFormat</a> &fmt) const </td></tr>
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<tr class="memitem:aa867b1db3fb2dd56e7072c7684960ff7"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aa867b1db3fb2dd56e7072c7684960ff7">hasNaN</a> () const </td></tr>
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<tr class="memitem:a72cddecfa6737b4388ef26c3a559a716"><td class="memItemLeft" align="right" valign="top">SegmentReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a72cddecfa6737b4388ef26c3a559a716">head</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> vecSize)</td></tr>
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<tr class="memitem:a1affbbf894b20a196ee663244f9ca186"><td class="memItemLeft" align="right" valign="top">ConstSegmentReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a1affbbf894b20a196ee663244f9ca186">head</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> vecSize) const </td></tr>
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<tr class="memitem:a361e155375a3c7983c294641b1e91a15"><td class="memTemplParams" colspan="2">template<int Size> </td></tr>
<tr class="memitem:a361e155375a3c7983c294641b1e91a15"><td class="memTemplItemLeft" align="right" valign="top">FixedSegmentReturnType< Size ><br class="typebreak"/>
::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a361e155375a3c7983c294641b1e91a15">head</a> ()</td></tr>
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<tr class="memitem:a231f7179447bc8df1d0be0b23541d2fd"><td class="memTemplParams" colspan="2">template<int Size> </td></tr>
<tr class="memitem:a231f7179447bc8df1d0be0b23541d2fd"><td class="memTemplItemLeft" align="right" valign="top">ConstFixedSegmentReturnType<br class="typebreak"/>
< Size >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a231f7179447bc8df1d0be0b23541d2fd">head</a> () const </td></tr>
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<tr class="memitem:a01069a930197aeca3b13b44bdc426c7b"><td class="memItemLeft" align="right" valign="top">const ImagReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a01069a930197aeca3b13b44bdc426c7b">imag</a> () const</td></tr>
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<tr class="memitem:a1032121a2fc5fcc5f006f976413378f8"><td class="memItemLeft" align="right" valign="top">NonConstImagReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a1032121a2fc5fcc5f006f976413378f8">imag</a> ()</td></tr>
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<tr class="memitem:acd9791e1914ad8761992e16032d49c54"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#acd9791e1914ad8761992e16032d49c54">innerSize</a> () const </td></tr>
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<tr class="memitem:a158c2184951e6e415c2e9b98db8e8966"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:a158c2184951e6e415c2e9b98db8e8966"><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< OtherDerived > &other, const RealScalar &prec=<a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>< Scalar >::dummy_precision()) const </td></tr>
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<tr class="memitem:aed2515d3d813e1355933b6e0def44640"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aed2515d3d813e1355933b6e0def44640">isApproxToConstant</a> (const Scalar &<a class="el" href="classEigen_1_1DenseBase.html#adf21a576b8f3a10bb141b8afd173b13d">value</a>, const RealScalar &prec=<a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>< Scalar >::dummy_precision()) const </td></tr>
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<tr class="memitem:a045c430069e53c7589e71fcc6984c8a8"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a045c430069e53c7589e71fcc6984c8a8">isConstant</a> (const Scalar &<a class="el" href="classEigen_1_1DenseBase.html#adf21a576b8f3a10bb141b8afd173b13d">value</a>, const RealScalar &prec=<a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>< Scalar >::dummy_precision()) const </td></tr>
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<tr class="memitem:a40b9e8df68a52b2d46cf70c9babf2a16"><td class="memTemplParams" colspan="2">template<typename Derived > </td></tr>
<tr class="memitem:a40b9e8df68a52b2d46cf70c9babf2a16"><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a40b9e8df68a52b2d46cf70c9babf2a16">isMuchSmallerThan</a> (const typename <a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>< Scalar >::Real &other, const RealScalar &prec) const </td></tr>
<tr class="separator:a40b9e8df68a52b2d46cf70c9babf2a16"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aaa59b5a40da397d905789cf99bce18d5"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:aaa59b5a40da397d905789cf99bce18d5"><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aaa59b5a40da397d905789cf99bce18d5">isMuchSmallerThan</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< OtherDerived > &other, const RealScalar &prec=<a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>< Scalar >::dummy_precision()) const </td></tr>
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<tr class="memitem:a34b4423fdfdf0c0644268095c55fe6ea"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a34b4423fdfdf0c0644268095c55fe6ea">isOnes</a> (const RealScalar &prec=<a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>< Scalar >::dummy_precision()) const </td></tr>
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<tr class="memitem:a6dc0eb069536157ead1d46c660b9622d"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a6dc0eb069536157ead1d46c660b9622d">isZero</a> (const RealScalar &prec=<a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>< Scalar >::dummy_precision()) const </td></tr>
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<tr class="memitem:ace4288d22b0312944ec93c8c46474ef6"><td class="memItemLeft" align="right" valign="top">ColsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ace4288d22b0312944ec93c8c46474ef6">leftCols</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> n)</td></tr>
<tr class="separator:ace4288d22b0312944ec93c8c46474ef6"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa43a2f7ef9b8029727a3e0424fd4e57d"><td class="memItemLeft" align="right" valign="top">ConstColsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aa43a2f7ef9b8029727a3e0424fd4e57d">leftCols</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> n) const </td></tr>
<tr class="separator:aa43a2f7ef9b8029727a3e0424fd4e57d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a01053284fe198875df0ff63aae33eea8"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:a01053284fe198875df0ff63aae33eea8"><td class="memTemplItemLeft" align="right" valign="top">NColsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a01053284fe198875df0ff63aae33eea8">leftCols</a> ()</td></tr>
<tr class="separator:a01053284fe198875df0ff63aae33eea8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac838d0f0d149ad1e1581fd38a7922b04"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:ac838d0f0d149ad1e1581fd38a7922b04"><td class="memTemplItemLeft" align="right" valign="top">ConstNColsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ac838d0f0d149ad1e1581fd38a7922b04">leftCols</a> () const </td></tr>
<tr class="separator:ac838d0f0d149ad1e1581fd38a7922b04"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a878f0dae18b28d8158c5f1c232edced2"><td class="memItemLeft" align="right" valign="top">internal::traits< Derived >::Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a878f0dae18b28d8158c5f1c232edced2">maxCoeff</a> () const </td></tr>
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<tr class="memitem:aad851ef369d212dcea81d9cded12dbdd"><td class="memTemplParams" colspan="2">template<typename IndexType > </td></tr>
<tr class="memitem:aad851ef369d212dcea81d9cded12dbdd"><td class="memTemplItemLeft" align="right" valign="top">internal::traits< Derived >::Scalar </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aad851ef369d212dcea81d9cded12dbdd">maxCoeff</a> (IndexType *<a class="el" href="classEigen_1_1DenseBase.html#aa8716d44f51321072ee5c88665c28813">row</a>, IndexType *<a class="el" href="classEigen_1_1DenseBase.html#a58c77695de3b33405f01f2fdf3dc389d">col</a>) const </td></tr>
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<tr class="memitem:a0b381dbcb0435c3a34a78abad4726cc3"><td class="memTemplParams" colspan="2">template<typename IndexType > </td></tr>
<tr class="memitem:a0b381dbcb0435c3a34a78abad4726cc3"><td class="memTemplItemLeft" align="right" valign="top">internal::traits< Derived >::Scalar </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a0b381dbcb0435c3a34a78abad4726cc3">maxCoeff</a> (IndexType *index) const </td></tr>
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<tr class="memitem:a0af2b3991862a079e3efaef3e4d17d96"><td class="memItemLeft" align="right" valign="top">Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a0af2b3991862a079e3efaef3e4d17d96">mean</a> () const </td></tr>
<tr class="separator:a0af2b3991862a079e3efaef3e4d17d96"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2d4f5da8e2019251ad3ed876d363d5d1"><td class="memItemLeft" align="right" valign="top">ColsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a2d4f5da8e2019251ad3ed876d363d5d1">middleCols</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startCol, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> numCols)</td></tr>
<tr class="separator:a2d4f5da8e2019251ad3ed876d363d5d1"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a428643f7e51813faa8c8ad89b8282235"><td class="memItemLeft" align="right" valign="top">ConstColsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a428643f7e51813faa8c8ad89b8282235">middleCols</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startCol, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> numCols) const </td></tr>
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<tr class="memitem:ab449491fb1077811187a0988a5c83e48"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:ab449491fb1077811187a0988a5c83e48"><td class="memTemplItemLeft" align="right" valign="top">NColsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ab449491fb1077811187a0988a5c83e48">middleCols</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startCol)</td></tr>
<tr class="separator:ab449491fb1077811187a0988a5c83e48"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a355072c91943dc9bdc4255a6538a5270"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:a355072c91943dc9bdc4255a6538a5270"><td class="memTemplItemLeft" align="right" valign="top">ConstNColsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a355072c91943dc9bdc4255a6538a5270">middleCols</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startCol) const </td></tr>
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<tr class="memitem:aa87a7527cd042907d180cf0c36c5f48a"><td class="memItemLeft" align="right" valign="top">RowsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aa87a7527cd042907d180cf0c36c5f48a">middleRows</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startRow, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> numRows)</td></tr>
<tr class="separator:aa87a7527cd042907d180cf0c36c5f48a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a5dbf41bffa5d27df9ba17f81cdd64983"><td class="memItemLeft" align="right" valign="top">ConstRowsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a5dbf41bffa5d27df9ba17f81cdd64983">middleRows</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startRow, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> numRows) const </td></tr>
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<tr class="memitem:a64475892fb40e70a2b701fd900084cbc"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:a64475892fb40e70a2b701fd900084cbc"><td class="memTemplItemLeft" align="right" valign="top">NRowsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a64475892fb40e70a2b701fd900084cbc">middleRows</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startRow)</td></tr>
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<tr class="memitem:ad1750285d85ea6fbe5ee645eebbd749a"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:ad1750285d85ea6fbe5ee645eebbd749a"><td class="memTemplItemLeft" align="right" valign="top">ConstNRowsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ad1750285d85ea6fbe5ee645eebbd749a">middleRows</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> startRow) const </td></tr>
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<tr class="memitem:add6cb2d85282829eb9adc9565ce784d6"><td class="memItemLeft" align="right" valign="top">internal::traits< Derived >::Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#add6cb2d85282829eb9adc9565ce784d6">minCoeff</a> () const </td></tr>
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<tr class="memitem:ad927d600371ba16dcb44518530ba906a"><td class="memTemplParams" colspan="2">template<typename IndexType > </td></tr>
<tr class="memitem:ad927d600371ba16dcb44518530ba906a"><td class="memTemplItemLeft" align="right" valign="top">internal::traits< Derived >::Scalar </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ad927d600371ba16dcb44518530ba906a">minCoeff</a> (IndexType *<a class="el" href="classEigen_1_1DenseBase.html#aa8716d44f51321072ee5c88665c28813">row</a>, IndexType *<a class="el" href="classEigen_1_1DenseBase.html#a58c77695de3b33405f01f2fdf3dc389d">col</a>) const </td></tr>
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<tr class="memitem:ae959fb7401b9cfdf900ff3b295466526"><td class="memTemplParams" colspan="2">template<typename IndexType > </td></tr>
<tr class="memitem:ae959fb7401b9cfdf900ff3b295466526"><td class="memTemplItemLeft" align="right" valign="top">internal::traits< Derived >::Scalar </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ae959fb7401b9cfdf900ff3b295466526">minCoeff</a> (IndexType *index) const </td></tr>
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<tr class="memitem:a324b9263b40738a260d46ff011b8d31b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1NestByValue.html">NestByValue</a>< Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a324b9263b40738a260d46ff011b8d31b">nestByValue</a> () const </td></tr>
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<tr class="memitem:abe29bfb5f2d88cf2a50ffb577ec6f0a4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#abe29bfb5f2d88cf2a50ffb577ec6f0a4">nonZeros</a> () const </td></tr>
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<tr class="memitem:a5648a35b9610ad47cb01912752db1dae"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a5648a35b9610ad47cb01912752db1dae">operator!=</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > &other) const</td></tr>
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<tr class="memitem:ae8ab11fb1ef0822aa61527f7ecd77b9d"><td class="memItemLeft" align="right" valign="top">const ScalarMultipleReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#ae8ab11fb1ef0822aa61527f7ecd77b9d">operator*</a> (const Scalar &scalar) const</td></tr>
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<tr class="memitem:a01a3dfc024abbb42150002facf498357"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
< internal::scalar_multiple2_op<br class="typebreak"/>
< Scalar, std::complex< Scalar ><br class="typebreak"/>
>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a01a3dfc024abbb42150002facf498357">operator*</a> (const std::complex< Scalar > &scalar) const</td></tr>
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<tr class="memitem:a32e1169b1338aa7edcc9a2dd69882ede"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< internal::scalar_sum_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
, const OtherDerived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a32e1169b1338aa7edcc9a2dd69882ede">operator+</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > &other) const</td></tr>
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<tr class="memitem:a2dab56059c2cd13fd3b36668a58fc1ac"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
< internal::scalar_difference_op<br class="typebreak"/>
< Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction ><br class="typebreak"/>
, const OtherDerived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a2dab56059c2cd13fd3b36668a58fc1ac">operator-</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > &other) const</td></tr>
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<tr class="memitem:a7f53ae2f5586a75f1747d84822ae9581"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
< internal::scalar_opposite_op<br class="typebreak"/>
< typename internal::traits<br class="typebreak"/>
< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, <br class="typebreak"/>
_Direction > >::Scalar ><br class="typebreak"/>
, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a7f53ae2f5586a75f1747d84822ae9581">operator-</a> () const</td></tr>
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<tr class="memitem:ae78e46db7ee3ba78d3cf59968d261f90"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
< internal::scalar_quotient1_op<br class="typebreak"/>
< typename internal::traits<br class="typebreak"/>
< <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, <br class="typebreak"/>
_Direction > >::Scalar ><br class="typebreak"/>
, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a><br class="typebreak"/>
< MatrixType, _Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#ae78e46db7ee3ba78d3cf59968d261f90">operator/</a> (const Scalar &scalar) const</td></tr>
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<tr class="memitem:ade5d2e09de50c2ca145037f295542b16"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structEigen_1_1CommaInitializer.html">CommaInitializer</a>< Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ade5d2e09de50c2ca145037f295542b16">operator<<</a> (const Scalar &s)</td></tr>
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<tr class="memitem:a3dacded5374fe30f8d4eb4ae18bc87c9"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:a3dacded5374fe30f8d4eb4ae18bc87c9"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="structEigen_1_1CommaInitializer.html">CommaInitializer</a>< Derived > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a3dacded5374fe30f8d4eb4ae18bc87c9">operator<<</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< OtherDerived > &other)</td></tr>
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<tr class="memitem:a78f22189db1a4cc4634bb8427ae64f06"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a78f22189db1a4cc4634bb8427ae64f06">operator==</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > &other) const</td></tr>
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<tr class="memitem:af080d3d3f82e0d4391f19af22a5eedb8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#af080d3d3f82e0d4391f19af22a5eedb8">outerSize</a> () const </td></tr>
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<tr class="memitem:a6bdcbfa7e3b07d3246ad80de7170b0f5"><td class="memItemLeft" align="right" valign="top">Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a6bdcbfa7e3b07d3246ad80de7170b0f5">prod</a> () const </td></tr>
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<tr class="memitem:a4a1c87f8e48a66edc05859421048f8b0"><td class="memItemLeft" align="right" valign="top">RealReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a4a1c87f8e48a66edc05859421048f8b0">real</a> () const</td></tr>
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<tr class="memitem:accfa15407b80807dab914b1844c725e5"><td class="memItemLeft" align="right" valign="top">NonConstRealReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#accfa15407b80807dab914b1844c725e5">real</a> ()</td></tr>
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<tr class="memitem:a64248a8479a46b78fa5b19702aa5d212"><td class="memTemplParams" colspan="2">template<typename Func > </td></tr>
<tr class="memitem:a64248a8479a46b78fa5b19702aa5d212"><td class="memTemplItemLeft" align="right" valign="top">internal::result_of< Func(typename <br class="typebreak"/>
internal::traits< Derived ><br class="typebreak"/>
::Scalar)>::type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a64248a8479a46b78fa5b19702aa5d212">redux</a> (const Func &func) const </td></tr>
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<tr class="memitem:afca0e8ff7921ee0e3ab4422818ecb214"><td class="memTemplParams" colspan="2">template<int RowFactor, int ColFactor> </td></tr>
<tr class="memitem:afca0e8ff7921ee0e3ab4422818ecb214"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Replicate.html">Replicate</a>< Derived, <br class="typebreak"/>
RowFactor, ColFactor > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#afca0e8ff7921ee0e3ab4422818ecb214">replicate</a> () const </td></tr>
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<tr class="memitem:a594bdd8d2d9dd3249d563a33b9ac73bd"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Replicate.html">Replicate</a>< Derived, <br class="typebreak"/>
<a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>, <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a594bdd8d2d9dd3249d563a33b9ac73bd">replicate</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> rowFacor, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> colFactor) const </td></tr>
<tr class="separator:a594bdd8d2d9dd3249d563a33b9ac73bd"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aeac38cb29a1a50007d60782ae0d41138"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aeac38cb29a1a50007d60782ae0d41138">resize</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> newSize)</td></tr>
<tr class="separator:aeac38cb29a1a50007d60782ae0d41138"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:afbbb33d14fe7fb9683019a39ce1c659d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#afbbb33d14fe7fb9683019a39ce1c659d">resize</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> nbRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> nbCols)</td></tr>
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<tr class="memitem:a6e354bb81f0c7b6888c6a0ce4b4649e2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Reverse.html">ReverseReturnType</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a6e354bb81f0c7b6888c6a0ce4b4649e2">reverse</a> ()</td></tr>
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<tr class="memitem:ae3a4b984747fa12de0f521b3bff907b3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Reverse.html">ConstReverseReturnType</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ae3a4b984747fa12de0f521b3bff907b3">reverse</a> () const </td></tr>
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<tr class="memitem:af148c4e77e657d04573c4fda43740ed5"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#af148c4e77e657d04573c4fda43740ed5">reverseInPlace</a> ()</td></tr>
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<tr class="memitem:af80f9e4e3708d7e3b0e1487ca90cf339"><td class="memItemLeft" align="right" valign="top">ColsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#af80f9e4e3708d7e3b0e1487ca90cf339">rightCols</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> n)</td></tr>
<tr class="separator:af80f9e4e3708d7e3b0e1487ca90cf339"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ad16081d19c5482a30aa6be15769e8056"><td class="memItemLeft" align="right" valign="top">ConstColsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ad16081d19c5482a30aa6be15769e8056">rightCols</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> n) const </td></tr>
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<tr class="memitem:af9afaaa2c2c27716dccdc58c50449103"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:af9afaaa2c2c27716dccdc58c50449103"><td class="memTemplItemLeft" align="right" valign="top">NColsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#af9afaaa2c2c27716dccdc58c50449103">rightCols</a> ()</td></tr>
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<tr class="memitem:ab4707ce78c96ddd7ca15c4e6f0a2a207"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:ab4707ce78c96ddd7ca15c4e6f0a2a207"><td class="memTemplItemLeft" align="right" valign="top">ConstNColsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ab4707ce78c96ddd7ca15c4e6f0a2a207">rightCols</a> () const </td></tr>
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<tr class="memitem:aa8716d44f51321072ee5c88665c28813"><td class="memItemLeft" align="right" valign="top">RowXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aa8716d44f51321072ee5c88665c28813">row</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> i)</td></tr>
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<tr class="memitem:ad62dcaf648cca25e9318da34c9840799"><td class="memItemLeft" align="right" valign="top">ConstRowXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ad62dcaf648cca25e9318da34c9840799">row</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> i) const </td></tr>
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<tr class="memitem:a3af2f03b1d2affcec24e0748edf892cd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1VectorwiseOp.html">ConstRowwiseReturnType</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a3af2f03b1d2affcec24e0748edf892cd">rowwise</a> () const </td></tr>
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<tr class="memitem:a8a7fd1e8004d4bd93a7ea36957aa8e99"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1VectorwiseOp.html">RowwiseReturnType</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a8a7fd1e8004d4bd93a7ea36957aa8e99">rowwise</a> ()</td></tr>
<tr class="separator:a8a7fd1e8004d4bd93a7ea36957aa8e99"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3a182e8a52e9c6761ded3813f751ab03"><td class="memItemLeft" align="right" valign="top">SegmentReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a3a182e8a52e9c6761ded3813f751ab03">segment</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> start, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> vecSize)</td></tr>
<tr class="separator:a3a182e8a52e9c6761ded3813f751ab03"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a07ec0ea2867c2919e647b2c061a8f007"><td class="memItemLeft" align="right" valign="top">ConstSegmentReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a07ec0ea2867c2919e647b2c061a8f007">segment</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> start, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> vecSize) const </td></tr>
<tr class="separator:a07ec0ea2867c2919e647b2c061a8f007"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a712d8a3514a4454cecba9fc0910588e2"><td class="memTemplParams" colspan="2">template<int Size> </td></tr>
<tr class="memitem:a712d8a3514a4454cecba9fc0910588e2"><td class="memTemplItemLeft" align="right" valign="top">FixedSegmentReturnType< Size ><br class="typebreak"/>
::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a712d8a3514a4454cecba9fc0910588e2">segment</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> start)</td></tr>
<tr class="separator:a712d8a3514a4454cecba9fc0910588e2"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:abe083525d1dae2903c972133bd9be062"><td class="memTemplParams" colspan="2">template<int Size> </td></tr>
<tr class="memitem:abe083525d1dae2903c972133bd9be062"><td class="memTemplItemLeft" align="right" valign="top">ConstFixedSegmentReturnType<br class="typebreak"/>
< Size >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#abe083525d1dae2903c972133bd9be062">segment</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> start) const </td></tr>
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<tr class="memitem:aaaed9ab0c7a20c689017542e40d1ef6e"><td class="memTemplParams" colspan="2">template<typename ThenDerived , typename ElseDerived > </td></tr>
<tr class="memitem:aaaed9ab0c7a20c689017542e40d1ef6e"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Select.html">Select</a>< Derived, <br class="typebreak"/>
ThenDerived, ElseDerived > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aaaed9ab0c7a20c689017542e40d1ef6e">select</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< ThenDerived > &thenMatrix, const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< ElseDerived > &elseMatrix) const </td></tr>
<tr class="separator:aaaed9ab0c7a20c689017542e40d1ef6e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a59df26fd07b401c361f53d84642d73ed"><td class="memTemplParams" colspan="2">template<typename ThenDerived > </td></tr>
<tr class="memitem:a59df26fd07b401c361f53d84642d73ed"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Select.html">Select</a>< Derived, <br class="typebreak"/>
ThenDerived, typename <br class="typebreak"/>
ThenDerived::ConstantReturnType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a59df26fd07b401c361f53d84642d73ed">select</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< ThenDerived > &thenMatrix, const typename ThenDerived::Scalar &elseScalar) const </td></tr>
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<tr class="memitem:adfc67de2ba1403e6856bd1b7dd1388f9"><td class="memTemplParams" colspan="2">template<typename ElseDerived > </td></tr>
<tr class="memitem:adfc67de2ba1403e6856bd1b7dd1388f9"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Select.html">Select</a>< Derived, <br class="typebreak"/>
typename <br class="typebreak"/>
ElseDerived::ConstantReturnType, <br class="typebreak"/>
ElseDerived > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#adfc67de2ba1403e6856bd1b7dd1388f9">select</a> (const typename ElseDerived::Scalar &thenScalar, const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< ElseDerived > &elseMatrix) const </td></tr>
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<tr class="memitem:a351ca566980cf96d9cdd61f3ce0cf94f"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a351ca566980cf96d9cdd61f3ce0cf94f">setConstant</a> (const Scalar &<a class="el" href="classEigen_1_1DenseBase.html#adf21a576b8f3a10bb141b8afd173b13d">value</a>)</td></tr>
<tr class="separator:a351ca566980cf96d9cdd61f3ce0cf94f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aca96b3050ceeffaa781d3d4ee185bd1d"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aca96b3050ceeffaa781d3d4ee185bd1d">setLinSpaced</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> size, const Scalar &low, const Scalar &high)</td></tr>
<tr class="memdesc:aca96b3050ceeffaa781d3d4ee185bd1d"><td class="mdescLeft"> </td><td class="mdescRight">Sets a linearly space vector. <a href="#aca96b3050ceeffaa781d3d4ee185bd1d">More...</a><br/></td></tr>
<tr class="separator:aca96b3050ceeffaa781d3d4ee185bd1d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a043485fa5a9510639cd8034392371aec"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a043485fa5a9510639cd8034392371aec">setLinSpaced</a> (const Scalar &low, const Scalar &high)</td></tr>
<tr class="memdesc:a043485fa5a9510639cd8034392371aec"><td class="mdescLeft"> </td><td class="mdescRight">Sets a linearly space vector. <a href="#a043485fa5a9510639cd8034392371aec">More...</a><br/></td></tr>
<tr class="separator:a043485fa5a9510639cd8034392371aec"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a196e62ee8a1fc3b4af631e955d650cfc"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a196e62ee8a1fc3b4af631e955d650cfc">setOnes</a> ()</td></tr>
<tr class="separator:a196e62ee8a1fc3b4af631e955d650cfc"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ab795c242db18862f502dfd9fa625c504"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ab795c242db18862f502dfd9fa625c504">setRandom</a> ()</td></tr>
<tr class="separator:ab795c242db18862f502dfd9fa625c504"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a9053ca03ac251002768a54742be28fce"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a> ()</td></tr>
<tr class="separator:a9053ca03ac251002768a54742be28fce"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3a3b3fb530d3364ecef0bf9c9daf0983"><td class="memItemLeft" align="right" valign="top">Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a3a3b3fb530d3364ecef0bf9c9daf0983">sum</a> () const </td></tr>
<tr class="separator:a3a3b3fb530d3364ecef0bf9c9daf0983"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:add3bfb296c2f8e29aac6037b16c2e8a9"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:add3bfb296c2f8e29aac6037b16c2e8a9"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#add3bfb296c2f8e29aac6037b16c2e8a9">swap</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< OtherDerived > &other, int=OtherDerived::ThisConstantIsPrivateInPlainObjectBase)</td></tr>
<tr class="separator:add3bfb296c2f8e29aac6037b16c2e8a9"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a203951fa04396e45d2c38737943c2c55"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:a203951fa04396e45d2c38737943c2c55"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a203951fa04396e45d2c38737943c2c55">swap</a> (<a class="el" href="classEigen_1_1PlainObjectBase.html">PlainObjectBase</a>< OtherDerived > &other)</td></tr>
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<tr class="memitem:a806cbb7e3c7357c2c5fbb1a7db4af16d"><td class="memItemLeft" align="right" valign="top">SegmentReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a806cbb7e3c7357c2c5fbb1a7db4af16d">tail</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> vecSize)</td></tr>
<tr class="separator:a806cbb7e3c7357c2c5fbb1a7db4af16d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1d0ab1845c547544055d2bc2c3e80124"><td class="memItemLeft" align="right" valign="top">ConstSegmentReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a1d0ab1845c547544055d2bc2c3e80124">tail</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> vecSize) const </td></tr>
<tr class="separator:a1d0ab1845c547544055d2bc2c3e80124"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a9da81041f38048642ca460fc6236da79"><td class="memTemplParams" colspan="2">template<int Size> </td></tr>
<tr class="memitem:a9da81041f38048642ca460fc6236da79"><td class="memTemplItemLeft" align="right" valign="top">FixedSegmentReturnType< Size ><br class="typebreak"/>
::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a9da81041f38048642ca460fc6236da79">tail</a> ()</td></tr>
<tr class="separator:a9da81041f38048642ca460fc6236da79"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4b49bb52c71b887195a1d6be95cecf8d"><td class="memTemplParams" colspan="2">template<int Size> </td></tr>
<tr class="memitem:a4b49bb52c71b887195a1d6be95cecf8d"><td class="memTemplItemLeft" align="right" valign="top">ConstFixedSegmentReturnType<br class="typebreak"/>
< Size >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a4b49bb52c71b887195a1d6be95cecf8d">tail</a> () const </td></tr>
<tr class="separator:a4b49bb52c71b887195a1d6be95cecf8d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a6f5fc5fe9d3fb70e62d4a9b1795704a8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a6f5fc5fe9d3fb70e62d4a9b1795704a8">topLeftCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols)</td></tr>
<tr class="separator:a6f5fc5fe9d3fb70e62d4a9b1795704a8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:af51f8dd1a464c0fe48182f7bab7ffab6"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#af51f8dd1a464c0fe48182f7bab7ffab6">topLeftCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols) const </td></tr>
<tr class="separator:af51f8dd1a464c0fe48182f7bab7ffab6"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ae06d0a5c4008014fb717866aec8d30c7"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:ae06d0a5c4008014fb717866aec8d30c7"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived, CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ae06d0a5c4008014fb717866aec8d30c7">topLeftCorner</a> ()</td></tr>
<tr class="separator:ae06d0a5c4008014fb717866aec8d30c7"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a29c05f280e61cf18f5865b0065cc769a"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a29c05f280e61cf18f5865b0065cc769a"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived, <br class="typebreak"/>
CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a29c05f280e61cf18f5865b0065cc769a">topLeftCorner</a> () const </td></tr>
<tr class="separator:a29c05f280e61cf18f5865b0065cc769a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ae2942bfb77ac330fdd91d3f063686a63"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:ae2942bfb77ac330fdd91d3f063686a63"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived, CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ae2942bfb77ac330fdd91d3f063686a63">topLeftCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols)</td></tr>
<tr class="separator:ae2942bfb77ac330fdd91d3f063686a63"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a0b549d0127afc14bab07e4f440c4aeec"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a0b549d0127afc14bab07e4f440c4aeec"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived, <br class="typebreak"/>
CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a0b549d0127afc14bab07e4f440c4aeec">topLeftCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols) const </td></tr>
<tr class="separator:a0b549d0127afc14bab07e4f440c4aeec"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a318006038c9becc5f9af003b7c77ea18"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a318006038c9becc5f9af003b7c77ea18">topRightCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols)</td></tr>
<tr class="separator:a318006038c9becc5f9af003b7c77ea18"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8cd6c56ce974c092a0aa0f11ca1853cb"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a8cd6c56ce974c092a0aa0f11ca1853cb">topRightCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols) const </td></tr>
<tr class="separator:a8cd6c56ce974c092a0aa0f11ca1853cb"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ad0088b2c1ec4dbd677dd19f589777945"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:ad0088b2c1ec4dbd677dd19f589777945"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived, CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ad0088b2c1ec4dbd677dd19f589777945">topRightCorner</a> ()</td></tr>
<tr class="separator:ad0088b2c1ec4dbd677dd19f589777945"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:abbe4b3135cc0afa4eee8d9db60c637c1"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:abbe4b3135cc0afa4eee8d9db60c637c1"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived, <br class="typebreak"/>
CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#abbe4b3135cc0afa4eee8d9db60c637c1">topRightCorner</a> () const </td></tr>
<tr class="separator:abbe4b3135cc0afa4eee8d9db60c637c1"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1bd671d8eea4781a3808d59718ba8b42"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a1bd671d8eea4781a3808d59718ba8b42"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Block.html">Block</a>< Derived, CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a1bd671d8eea4781a3808d59718ba8b42">topRightCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols)</td></tr>
<tr class="separator:a1bd671d8eea4781a3808d59718ba8b42"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8df165d3b3bedfe1386f20f3c2126973"><td class="memTemplParams" colspan="2">template<int CRows, int CCols> </td></tr>
<tr class="memitem:a8df165d3b3bedfe1386f20f3c2126973"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Block.html">Block</a>< const Derived, <br class="typebreak"/>
CRows, CCols > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a8df165d3b3bedfe1386f20f3c2126973">topRightCorner</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cRows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cCols) const </td></tr>
<tr class="separator:a8df165d3b3bedfe1386f20f3c2126973"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:afdfced3e157f74b3bc68892aad178424"><td class="memItemLeft" align="right" valign="top">RowsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#afdfced3e157f74b3bc68892aad178424">topRows</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> n)</td></tr>
<tr class="separator:afdfced3e157f74b3bc68892aad178424"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac77be6c2cf44abbb6f80496cbe14f2af"><td class="memItemLeft" align="right" valign="top">ConstRowsBlockXpr </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ac77be6c2cf44abbb6f80496cbe14f2af">topRows</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> n) const </td></tr>
<tr class="separator:ac77be6c2cf44abbb6f80496cbe14f2af"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a77933058fb3cd3319a86dd0ac4c88d38"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:a77933058fb3cd3319a86dd0ac4c88d38"><td class="memTemplItemLeft" align="right" valign="top">NRowsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a77933058fb3cd3319a86dd0ac4c88d38">topRows</a> ()</td></tr>
<tr class="separator:a77933058fb3cd3319a86dd0ac4c88d38"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4d7327699c5128262f29dc66efac6484"><td class="memTemplParams" colspan="2">template<int N> </td></tr>
<tr class="memitem:a4d7327699c5128262f29dc66efac6484"><td class="memTemplItemLeft" align="right" valign="top">ConstNRowsBlockXpr< N >::Type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a4d7327699c5128262f29dc66efac6484">topRows</a> () const </td></tr>
<tr class="separator:a4d7327699c5128262f29dc66efac6484"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3c187c30922fc5e42f208ae3eb0970ee"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Transpose.html">Eigen::Transpose</a>< Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a3c187c30922fc5e42f208ae3eb0970ee">transpose</a> ()</td></tr>
<tr class="separator:a3c187c30922fc5e42f208ae3eb0970ee"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a228b8f9641f46db6e92e06374ea87918"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Transpose.html">ConstTransposeReturnType</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a228b8f9641f46db6e92e06374ea87918">transpose</a> () const </td></tr>
<tr class="separator:a228b8f9641f46db6e92e06374ea87918"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3689faf485a5e405a4fc9bf0e05564c9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a3689faf485a5e405a4fc9bf0e05564c9">transposeInPlace</a> ()</td></tr>
<tr class="separator:a3689faf485a5e405a4fc9bf0e05564c9"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a23fc4bf97168dee2516f85edcfd4cfe7"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><br class="typebreak"/>
< CustomUnaryOp, const <br class="typebreak"/>
<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, <br class="typebreak"/>
_Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#a23fc4bf97168dee2516f85edcfd4cfe7">unaryExpr</a> (const CustomUnaryOp &func=CustomUnaryOp()) const</td></tr>
<tr class="memdesc:a23fc4bf97168dee2516f85edcfd4cfe7"><td class="mdescLeft"> </td><td class="mdescRight">Apply a unary operator coefficient-wise. <a href="#a23fc4bf97168dee2516f85edcfd4cfe7">More...</a><br/></td></tr>
<tr class="separator:a23fc4bf97168dee2516f85edcfd4cfe7"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aba9ae3923f6caa962ef3418d6872c369"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseUnaryView.html">CwiseUnaryView</a><br class="typebreak"/>
< CustomViewOp, const <br class="typebreak"/>
<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, <br class="typebreak"/>
_Direction > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1MatrixBase.html#aba9ae3923f6caa962ef3418d6872c369">unaryViewExpr</a> (const CustomViewOp &func=CustomViewOp()) const</td></tr>
<tr class="separator:aba9ae3923f6caa962ef3418d6872c369"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:adf21a576b8f3a10bb141b8afd173b13d"><td class="memItemLeft" align="right" valign="top">CoeffReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#adf21a576b8f3a10bb141b8afd173b13d">value</a> () const </td></tr>
<tr class="separator:adf21a576b8f3a10bb141b8afd173b13d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:af33f695c0e0ad5634ca73f19c347f7b3"><td class="memTemplParams" colspan="2">template<typename Visitor > </td></tr>
<tr class="memitem:af33f695c0e0ad5634ca73f19c347f7b3"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#af33f695c0e0ad5634ca73f19c347f7b3">visit</a> (Visitor &func) const </td></tr>
<tr class="separator:af33f695c0e0ad5634ca73f19c347f7b3"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
Static Public Member Functions</h2></td></tr>
<tr class="memitem:abb7652b9ae2c6ee26be9db276613c4f6"><td class="memItemLeft" align="right" valign="top">static const ConstantReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#abb7652b9ae2c6ee26be9db276613c4f6">Constant</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> rows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cols, const Scalar &<a class="el" href="classEigen_1_1DenseBase.html#adf21a576b8f3a10bb141b8afd173b13d">value</a>)</td></tr>
<tr class="separator:abb7652b9ae2c6ee26be9db276613c4f6"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa07edf1aa85b7e84bd6b15158efbca71"><td class="memItemLeft" align="right" valign="top">static const ConstantReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aa07edf1aa85b7e84bd6b15158efbca71">Constant</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> size, const Scalar &<a class="el" href="classEigen_1_1DenseBase.html#adf21a576b8f3a10bb141b8afd173b13d">value</a>)</td></tr>
<tr class="separator:aa07edf1aa85b7e84bd6b15158efbca71"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa3647a2091ca73b864aee4126118fd44"><td class="memItemLeft" align="right" valign="top">static const ConstantReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#aa3647a2091ca73b864aee4126118fd44">Constant</a> (const Scalar &<a class="el" href="classEigen_1_1DenseBase.html#adf21a576b8f3a10bb141b8afd173b13d">value</a>)</td></tr>
<tr class="separator:aa3647a2091ca73b864aee4126118fd44"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a03a4ddf48fc9f3674a783da9c6ae34d8"><td class="memItemLeft" align="right" valign="top">static const <br class="typebreak"/>
SequentialLinSpacedReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a03a4ddf48fc9f3674a783da9c6ae34d8">LinSpaced</a> (Sequential_t, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> size, const Scalar &low, const Scalar &high)</td></tr>
<tr class="memdesc:a03a4ddf48fc9f3674a783da9c6ae34d8"><td class="mdescLeft"> </td><td class="mdescRight">Sets a linearly space vector. <a href="#a03a4ddf48fc9f3674a783da9c6ae34d8">More...</a><br/></td></tr>
<tr class="separator:a03a4ddf48fc9f3674a783da9c6ae34d8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:add3a25508eab3a05851a3b4208b96eb8"><td class="memItemLeft" align="right" valign="top">static const <br class="typebreak"/>
RandomAccessLinSpacedReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#add3a25508eab3a05851a3b4208b96eb8">LinSpaced</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> size, const Scalar &low, const Scalar &high)</td></tr>
<tr class="memdesc:add3a25508eab3a05851a3b4208b96eb8"><td class="mdescLeft"> </td><td class="mdescRight">Sets a linearly space vector. <a href="#add3a25508eab3a05851a3b4208b96eb8">More...</a><br/></td></tr>
<tr class="separator:add3a25508eab3a05851a3b4208b96eb8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a30ceb9d76f8ca3ff5bc71f7797b9788d"><td class="memItemLeft" align="right" valign="top">static const <br class="typebreak"/>
SequentialLinSpacedReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a30ceb9d76f8ca3ff5bc71f7797b9788d">LinSpaced</a> (Sequential_t, const Scalar &low, const Scalar &high)</td></tr>
<tr class="memdesc:a30ceb9d76f8ca3ff5bc71f7797b9788d"><td class="mdescLeft"> </td><td class="mdescRight">Sets a linearly space vector. <a href="#a30ceb9d76f8ca3ff5bc71f7797b9788d">More...</a><br/></td></tr>
<tr class="separator:a30ceb9d76f8ca3ff5bc71f7797b9788d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac0e2ccb6cded6a7aa927c3410aee071b"><td class="memItemLeft" align="right" valign="top">static const <br class="typebreak"/>
RandomAccessLinSpacedReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ac0e2ccb6cded6a7aa927c3410aee071b">LinSpaced</a> (const Scalar &low, const Scalar &high)</td></tr>
<tr class="memdesc:ac0e2ccb6cded6a7aa927c3410aee071b"><td class="mdescLeft"> </td><td class="mdescRight">Sets a linearly space vector. <a href="#ac0e2ccb6cded6a7aa927c3410aee071b">More...</a><br/></td></tr>
<tr class="separator:ac0e2ccb6cded6a7aa927c3410aee071b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a138e37f3c338a544afb347aaf80d32da"><td class="memTemplParams" colspan="2">template<typename CustomNullaryOp > </td></tr>
<tr class="memitem:a138e37f3c338a544afb347aaf80d32da"><td class="memTemplItemLeft" align="right" valign="top">static const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a><br class="typebreak"/>
< CustomNullaryOp, Derived > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a138e37f3c338a544afb347aaf80d32da">NullaryExpr</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> rows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cols, const CustomNullaryOp &func)</td></tr>
<tr class="separator:a138e37f3c338a544afb347aaf80d32da"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ae50fd894930b4f917cf5c40f23965f67"><td class="memTemplParams" colspan="2">template<typename CustomNullaryOp > </td></tr>
<tr class="memitem:ae50fd894930b4f917cf5c40f23965f67"><td class="memTemplItemLeft" align="right" valign="top">static const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a><br class="typebreak"/>
< CustomNullaryOp, Derived > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ae50fd894930b4f917cf5c40f23965f67">NullaryExpr</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> size, const CustomNullaryOp &func)</td></tr>
<tr class="separator:ae50fd894930b4f917cf5c40f23965f67"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a24025debf13d8352eb963b814e08b5e8"><td class="memTemplParams" colspan="2">template<typename CustomNullaryOp > </td></tr>
<tr class="memitem:a24025debf13d8352eb963b814e08b5e8"><td class="memTemplItemLeft" align="right" valign="top">static const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a><br class="typebreak"/>
< CustomNullaryOp, Derived > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a24025debf13d8352eb963b814e08b5e8">NullaryExpr</a> (const CustomNullaryOp &func)</td></tr>
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<tr class="memitem:ad148f93a6a00e32ef00903c5393337ef"><td class="memItemLeft" align="right" valign="top">static const ConstantReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#ad148f93a6a00e32ef00903c5393337ef">Ones</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> rows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cols)</td></tr>
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<tr class="memitem:adec530c086d6b585ebb009fe4fbb77e6"><td class="memItemLeft" align="right" valign="top">static const ConstantReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#adec530c086d6b585ebb009fe4fbb77e6">Ones</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> size)</td></tr>
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<tr class="memitem:a2278addf9a3c977d40322571a0df8ac9"><td class="memItemLeft" align="right" valign="top">static const ConstantReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">Ones</a> ()</td></tr>
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<tr class="memitem:a78061942c4ccb57f5b1dde173fdd8bd0"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a><br class="typebreak"/>
< internal::scalar_random_op<br class="typebreak"/>
< Scalar >, Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a78061942c4ccb57f5b1dde173fdd8bd0">Random</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> rows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cols)</td></tr>
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<tr class="memitem:a6f42aba8fbe2618deb0e80e4af876e04"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a><br class="typebreak"/>
< internal::scalar_random_op<br class="typebreak"/>
< Scalar >, Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a6f42aba8fbe2618deb0e80e4af876e04">Random</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> size)</td></tr>
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<tr class="memitem:a8e759dafdd9ecc446d397b7f5435f60a"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a><br class="typebreak"/>
< internal::scalar_random_op<br class="typebreak"/>
< Scalar >, Derived > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Random</a> ()</td></tr>
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<tr class="memitem:a724349af3e253b69a54d503931b52ec3"><td class="memItemLeft" align="right" valign="top">static const ConstantReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a724349af3e253b69a54d503931b52ec3">Zero</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> rows, <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> cols)</td></tr>
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<tr class="memitem:a39390955f1297dacb49ac94429f321fd"><td class="memItemLeft" align="right" valign="top">static const ConstantReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a39390955f1297dacb49ac94429f321fd">Zero</a> (<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> size)</td></tr>
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<tr class="memitem:a2e36721b4833498b713e94a7948c6a29"><td class="memItemLeft" align="right" valign="top">static const ConstantReturnType </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero</a> ()</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="related"></a>
Related Functions</h2></td></tr>
<tr><td class="ititle" colspan="2"><p>(Note that these are not member functions.) </p>
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<tr class="memitem:a3806d3f42de165878dace160e6aba40a"><td class="memTemplParams" colspan="2">template<typename Derived > </td></tr>
<tr class="memitem:a3806d3f42de165878dace160e6aba40a"><td class="memTemplItemLeft" align="right" valign="top">std::ostream & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1DenseBase.html#a3806d3f42de165878dace160e6aba40a">operator<<</a> (std::ostream &s, const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived > &m)</td></tr>
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<h2 class="groupheader">Member Typedef Documentation</h2>
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<td class="memname">typedef internal::traits<Derived>::<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> <a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a></td>
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<p>The type of indices. </p>
<p>To change this, <code>#define</code> the preprocessor symbol <code>EIGEN_DEFAULT_DENSE_INDEX_TYPE</code>. </p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="TopicPreprocessorDirectives.html">Preprocessor directives</a>. </dd></dl>
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<td class="memname">typedef <a class="el" href="classEigen_1_1Matrix.html">Matrix</a><typename internal::traits<<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > >::Scalar, internal::traits<<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > >::<a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca38ab482a62bf46f6ed6dcc4e9dd0dddf">RowsAtCompileTime</a>, internal::traits<<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > >::<a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cae943bdba893721a848dfcd03db756b22">ColsAtCompileTime</a>, <a class="el" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda02a97bb4792f98916a1156a521fa9813">AutoAlign</a> | (internal::traits<<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > >::<a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca96296863b401484bc191339414c90e6b">Flags</a>&<a class="el" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a> ? <a class="el" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> : <a class="el" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>), internal::traits<<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > >::<a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca1264a9a69c437cbe0f8e723d88471c4a">MaxRowsAtCompileTime</a>, internal::traits<<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > >::<a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cac9998fd25639e32ba4d58d67bfff4420">MaxColsAtCompileTime</a> > <a class="el" href="classEigen_1_1MatrixBase.html#ac33495a0e3788e5951670c392b44d9ad">PlainObject</a></td>
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<p>The plain matrix type corresponding to this expression. </p>
<p>This is not necessarily exactly the return type of <a class="el" href="classEigen_1_1DenseBase.html#a6cb26f170dd440dfafe11117cf826334">eval()</a>. In the case of plain matrices, the return type of <a class="el" href="classEigen_1_1DenseBase.html#a6cb26f170dd440dfafe11117cf826334">eval()</a> is a const reference to a matrix, not a matrix! It is however guaranteed that the return type of <a class="el" href="classEigen_1_1DenseBase.html#a6cb26f170dd440dfafe11117cf826334">eval()</a> is either PlainObject or const PlainObject&. </p>
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<h2 class="groupheader">Member Enumeration Documentation</h2>
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<td class="memname">anonymous enum</td>
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<span class="mlabels"><span class="mlabel">inherited</span></span> </td>
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<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><em><a class="anchor" id="a1be3860693af99a6c1da72580097294ca38ab482a62bf46f6ed6dcc4e9dd0dddf"></a>RowsAtCompileTime</em> </td><td class="fielddoc">
<p>The number of rows at compile-time. This is just a copy of the value provided by the <em>Derived</em> type. If a value is not known at compile-time, it is set to the <em>Dynamic</em> constant. </p>
<dl class="section see"><dt>See Also</dt><dd>MatrixBase::rows(), MatrixBase::cols(), <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cae943bdba893721a848dfcd03db756b22">ColsAtCompileTime</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cab30be5c02d7a124ec165d2ab6c5b05ed">SizeAtCompileTime</a> </dd></dl>
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<tr><td class="fieldname"><em><a class="anchor" id="a1be3860693af99a6c1da72580097294cae943bdba893721a848dfcd03db756b22"></a>ColsAtCompileTime</em> </td><td class="fielddoc">
<p>The number of columns at compile-time. This is just a copy of the value provided by the <em>Derived</em> type. If a value is not known at compile-time, it is set to the <em>Dynamic</em> constant. </p>
<dl class="section see"><dt>See Also</dt><dd>MatrixBase::rows(), MatrixBase::cols(), <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca38ab482a62bf46f6ed6dcc4e9dd0dddf">RowsAtCompileTime</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cab30be5c02d7a124ec165d2ab6c5b05ed">SizeAtCompileTime</a> </dd></dl>
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<tr><td class="fieldname"><em><a class="anchor" id="a1be3860693af99a6c1da72580097294cab30be5c02d7a124ec165d2ab6c5b05ed"></a>SizeAtCompileTime</em> </td><td class="fielddoc">
<p>This is equal to the number of coefficients, i.e. the number of rows times the number of columns, or to <em>Dynamic</em> if this is not known at compile-time. </p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca38ab482a62bf46f6ed6dcc4e9dd0dddf">RowsAtCompileTime</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cae943bdba893721a848dfcd03db756b22">ColsAtCompileTime</a> </dd></dl>
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<tr><td class="fieldname"><em><a class="anchor" id="a1be3860693af99a6c1da72580097294ca1264a9a69c437cbe0f8e723d88471c4a"></a>MaxRowsAtCompileTime</em> </td><td class="fielddoc">
<p>This value is equal to the maximum possible number of rows that this expression might have. If this expression might have an arbitrarily high number of rows, this value is set to <em>Dynamic</em>.</p>
<p>This value is useful to know when evaluating an expression, in order to determine whether it is possible to avoid doing a dynamic memory allocation.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca38ab482a62bf46f6ed6dcc4e9dd0dddf">RowsAtCompileTime</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cac9998fd25639e32ba4d58d67bfff4420">MaxColsAtCompileTime</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cacf4ecb7db5a851c1ff90ae7621ab3fd1">MaxSizeAtCompileTime</a> </dd></dl>
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<tr><td class="fieldname"><em><a class="anchor" id="a1be3860693af99a6c1da72580097294cac9998fd25639e32ba4d58d67bfff4420"></a>MaxColsAtCompileTime</em> </td><td class="fielddoc">
<p>This value is equal to the maximum possible number of columns that this expression might have. If this expression might have an arbitrarily high number of columns, this value is set to <em>Dynamic</em>.</p>
<p>This value is useful to know when evaluating an expression, in order to determine whether it is possible to avoid doing a dynamic memory allocation.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cae943bdba893721a848dfcd03db756b22">ColsAtCompileTime</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca1264a9a69c437cbe0f8e723d88471c4a">MaxRowsAtCompileTime</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cacf4ecb7db5a851c1ff90ae7621ab3fd1">MaxSizeAtCompileTime</a> </dd></dl>
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<tr><td class="fieldname"><em><a class="anchor" id="a1be3860693af99a6c1da72580097294cacf4ecb7db5a851c1ff90ae7621ab3fd1"></a>MaxSizeAtCompileTime</em> </td><td class="fielddoc">
<p>This value is equal to the maximum possible number of coefficients that this expression might have. If this expression might have an arbitrarily high number of coefficients, this value is set to <em>Dynamic</em>.</p>
<p>This value is useful to know when evaluating an expression, in order to determine whether it is possible to avoid doing a dynamic memory allocation.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cab30be5c02d7a124ec165d2ab6c5b05ed">SizeAtCompileTime</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca1264a9a69c437cbe0f8e723d88471c4a">MaxRowsAtCompileTime</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cac9998fd25639e32ba4d58d67bfff4420">MaxColsAtCompileTime</a> </dd></dl>
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<tr><td class="fieldname"><em><a class="anchor" id="a1be3860693af99a6c1da72580097294ca7e22277c8f0a1a76dd0d6c62e366b59f"></a>IsVectorAtCompileTime</em> </td><td class="fielddoc">
<p>This is set to true if either the number of rows or the number of columns is known at compile-time to be equal to 1. Indeed, in that case, we are dealing with a column-vector (if there is only one column) or with a row-vector (if there is only one row). </p>
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<tr><td class="fieldname"><em><a class="anchor" id="a1be3860693af99a6c1da72580097294ca96296863b401484bc191339414c90e6b"></a>Flags</em> </td><td class="fielddoc">
<p>This stores expression <a class="el" href="group__flags.html">Flags</a> flags which may or may not be inherited by new expressions constructed from this one. See the <a class="el" href="group__flags.html">list of flags</a>. </p>
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<p>True if this expression has row-major storage order. </p>
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<p>This is a rough measure of how expensive it is to read one coefficient from this expression. </p>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">bool all </td>
<td>(</td>
<td class="paramtype">void </td>
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<dl class="section return"><dt>Returns</dt><dd>true if all coefficients are true</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line">Vector3f boxMin(<a class="code" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Vector3f::Zero</a>()), boxMax(<a class="code" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">Vector3f::Ones</a>());</div>
<div class="line">Vector3f p0 = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Vector3f::Random</a>(), p1 = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Vector3f::Random</a>().cwiseAbs();</div>
<div class="line"><span class="comment">// let's check if p0 and p1 are inside the axis aligned box defined by the corners boxMin,boxMax:</span></div>
<div class="line">cout << <span class="stringliteral">"Is ("</span> << p0.transpose() << <span class="stringliteral">") inside the box: "</span></div>
<div class="line"> << ((boxMin.array()<p0.array()).<a class="code" href="classEigen_1_1DenseBase.html#aea914316af61df197f21629e14e7870a">all</a>() && (boxMax.array()>p0.array()).<a class="code" href="classEigen_1_1DenseBase.html#aea914316af61df197f21629e14e7870a">all</a>()) << endl;</div>
<div class="line">cout << <span class="stringliteral">"Is ("</span> << p1.transpose() << <span class="stringliteral">") inside the box: "</span></div>
<div class="line"> << ((boxMin.array()<p1.array()).<a class="code" href="classEigen_1_1DenseBase.html#aea914316af61df197f21629e14e7870a">all</a>() && (boxMax.array()>p1.array()).<a class="code" href="classEigen_1_1DenseBase.html#aea914316af61df197f21629e14e7870a">all</a>()) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Is ( 0.68 -0.211 0.566) inside the box: 0
Is (0.597 0.823 0.605) inside the box: 1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a42571e028736ca9103bac8b50f269824">any()</a>, Cwise::operator<() </dd></dl>
<p>References <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a>.</p>
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<td class="memname">bool allFinite </td>
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<dl class="section return"><dt>Returns</dt><dd>true if <code>*this</code> contains only finite numbers, i.e., no NaN and no +/-INF values.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aa867b1db3fb2dd56e7072c7684960ff7">hasNaN()</a> </dd></dl>
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<dl class="section return"><dt>Returns</dt><dd>true if at least one coefficient is true</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aea914316af61df197f21629e14e7870a">all()</a> </dd></dl>
<p>References <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a>.</p>
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<td class="memname"><a class="el" href="classEigen_1_1ArrayWrapper.html">ArrayWrapper</a><<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > array </td>
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<dl class="section return"><dt>Returns</dt><dd>an <a class="el" href="classEigen_1_1ArrayBase.html">Array </a> expression of this matrix </dd></dl>
<dl class="section see"><dt>See Also</dt><dd>ArrayBase::matrix() </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><CustomBinaryOp, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const OtherDerived> binaryExpr </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a custom coefficient-wise operator <em>func</em> of *this and <em>other</em> </dd></dl>
<p>The template parameter <em>CustomBinaryOp</em> is the type of the functor of the custom operator (see class CwiseBinaryOp for an example)</p>
<p>Here is an example illustrating the use of custom functors: </p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Core></span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"><span class="keyword">using namespace </span>Eigen;</div>
<div class="line"><span class="keyword">using namespace </span>std;</div>
<div class="line"></div>
<div class="line"><span class="comment">// define a custom template binary functor</span></div>
<div class="line"><span class="keyword">template</span><<span class="keyword">typename</span> Scalar> <span class="keyword">struct </span>MakeComplexOp {</div>
<div class="line"> EIGEN_EMPTY_STRUCT_CTOR(MakeComplexOp)</div>
<div class="line"> typedef complex<Scalar> result_type;</div>
<div class="line"> complex<Scalar> operator()(const Scalar& a, const Scalar& b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> complex<Scalar>(a,b); }</div>
<div class="line">};</div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> main(<span class="keywordtype">int</span>, <span class="keywordtype">char</span>**)</div>
<div class="line">{</div>
<div class="line"> <a class="code" href="classEigen_1_1Matrix.html">Matrix4d</a> m1 = Matrix4d::Random(), m2 = Matrix4d::Random();</div>
<div class="line"> cout << m1.<a class="code" href="classEigen_1_1MatrixBase.html#ac00eb88e0d7599b8a2881715d3e4b35f">binaryExpr</a>(m2, MakeComplexOp<double>()) << endl;</div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> (0.68,0.271) (0.823,-0.967) (-0.444,-0.687) (-0.27,0.998)
(-0.211,0.435) (-0.605,-0.514) (0.108,-0.198) (0.0268,-0.563)
(0.566,-0.717) (-0.33,-0.726) (-0.0452,-0.74) (0.904,0.0259)
(0.597,0.214) (0.536,0.608) (0.258,-0.782) (0.832,0.678)
</pre><dl class="section see"><dt>See Also</dt><dd>class CwiseBinaryOp, <a class="el" href="classEigen_1_1MatrixBase.html#a32e1169b1338aa7edcc9a2dd69882ede">operator+()</a>, <a class="el" href="classEigen_1_1MatrixBase.html#a7f53ae2f5586a75f1747d84822ae9581">operator-()</a>, <a class="el" href="classEigen_1_1MatrixBase.html#ae759f49ab64f4d454e591bf610a09156">cwiseProduct()</a> </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived> block </td>
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<td class="paramname"><em>startRow</em>, </td>
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<td class="paramname"><em>blockCols</em> </td>
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<dl class="section return"><dt>Returns</dt><dd>a dynamic-size expression of a block in *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">startRow</td><td>the first row in the block </td></tr>
<tr><td class="paramname">startCol</td><td>the first column in the block </td></tr>
<tr><td class="paramname">blockRows</td><td>the number of rows in the block </td></tr>
<tr><td class="paramname">blockCols</td><td>the number of columns in the block</td></tr>
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<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.block(1, 1, 2, 2):"</span> << endl << m.block(1, 1, 2, 2) << endl;</div>
<div class="line">m.block(1, 1, 2, 2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.block(1, 1, 2, 2):
-6 1
-3 0
Now the matrix m is:
7 9 -5 -3
-2 0 0 0
6 0 0 9
6 6 3 9
</pre><dl class="section note"><dt>Note</dt><dd>Even though the returned expression has dynamic size, in the case when it is applied to a fixed-size matrix, it inherits a fixed maximal size, which means that evaluating it does not cause a dynamic memory allocation.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a3e433315822db2811a65e88c70672743">block(Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived> block </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived, BlockRows, BlockCols> block </td>
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<dl class="section return"><dt>Returns</dt><dd>a fixed-size expression of a block in *this.</dd></dl>
<p>The template parameters <em>BlockRows</em> and <em>BlockCols</em> are the number of rows and columns in the block.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">startRow</td><td>the first row in the block </td></tr>
<tr><td class="paramname">startCol</td><td>the first column in the block</td></tr>
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</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.block<2,2>(1,1):"</span> << endl << m.block<2,2>(1,1) << endl;</div>
<div class="line">m.block<2,2>(1,1).<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.block<2,2>(1,1):
-6 1
-3 0
Now the matrix m is:
7 9 -5 -3
-2 0 0 0
6 0 0 9
6 6 3 9
</pre><dl class="section note"><dt>Note</dt><dd>since block is a templated member, the keyword template has to be used if the matrix type is also a template parameter:<div class="fragment"><div class="line">m.template block<3,3>(1,1); </div>
</div><!-- fragment --></dd></dl>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a3e433315822db2811a65e88c70672743">block<>(Index, Index)</a>. </p>
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<td>(</td>
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<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a block in *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">BlockRows</td><td>number of rows in block as specified at compile time </td></tr>
<tr><td class="paramname">BlockCols</td><td>number of columns in block as specified at compile time </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">startRow</td><td>the first row in the block </td></tr>
<tr><td class="paramname">startCol</td><td>the first column in the block </td></tr>
<tr><td class="paramname">blockRows</td><td>number of rows in block as specified at run time </td></tr>
<tr><td class="paramname">blockCols</td><td>number of columns in block as specified at run time</td></tr>
</table>
</dd>
</dl>
<p>This function is mainly useful for blocks where the number of rows is specified at compile time and the number of columns is specified at run time, or vice versa. The compile-time and run-time information should not contradict. In other words, <em>blockRows</em> should equal <em>BlockRows</em> unless <em>BlockRows</em> is <em>Dynamic</em>, and the same for the number of columns.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is the block:"</span> << endl << m.block<2, <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>>(1, 1, 2, 3) << endl;</div>
<div class="line">m.block<2, <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>>(1, 1, 2, 3).<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Matrix4i m = Matrix4i::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the block:" << endl << m.block<2, Dynamic>(1, 1, 2, 3) << endl;
m.block<2, Dynamic>(1, 1, 2, 3).setZero();
cout << "Now the matrix m is:" << endl << m << endl;
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived, BlockRows, BlockCols> block </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>startRow</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>startCol</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>blockRows</em>, </td>
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<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>blockCols</em> </td>
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<td>)</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block<>(Index, Index, Index, Index)</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived> bottomLeftCorner </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cRows</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cCols</em> </td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<dl class="section return"><dt>Returns</dt><dd>a dynamic-size expression of a bottom-left corner of *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">cRows</td><td>the number of rows in the corner </td></tr>
<tr><td class="paramname">cCols</td><td>the number of columns in the corner</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.bottomLeftCorner(2, 2):"</span> << endl;</div>
<div class="line">cout << m.bottomLeftCorner(2, 2) << endl;</div>
<div class="line">m.bottomLeftCorner(2, 2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.bottomLeftCorner(2, 2):
6 -3
6 6
Now the matrix m is:
7 9 -5 -3
-2 -6 1 0
0 0 0 9
0 0 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived> bottomLeftCorner </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cRows</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cCols</em> </td>
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<td></td>
<td>)</td>
<td></td><td> const</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a641cf096441faf5ab490c4973c719c7a">bottomLeftCorner(Index, Index)</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived, CRows, CCols> bottomLeftCorner </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a fixed-size bottom-left corner of *this.</dd></dl>
<p>The template parameters CRows and CCols are the number of rows and columns in the corner.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.bottomLeftCorner<2,2>():"</span> << endl;</div>
<div class="line">cout << m.bottomLeftCorner<2,2>() << endl;</div>
<div class="line">m.bottomLeftCorner<2,2>().<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.bottomLeftCorner<2,2>():
6 -3
6 6
Now the matrix m is:
7 9 -5 -3
-2 -6 1 0
0 0 0 9
0 0 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived, CRows, CCols> bottomLeftCorner </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a243a44832e36d2bf5d0d8d17d1505900">bottomLeftCorner<int, int>()</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived, CRows, CCols> bottomLeftCorner </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cRows</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cCols</em> </td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a bottom-left corner of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">CRows</td><td>number of rows in corner as specified at compile time </td></tr>
<tr><td class="paramname">CCols</td><td>number of columns in corner as specified at compile time </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">cRows</td><td>number of rows in corner as specified at run time </td></tr>
<tr><td class="paramname">cCols</td><td>number of columns in corner as specified at run time</td></tr>
</table>
</dd>
</dl>
<p>This function is mainly useful for corners where the number of rows is specified at compile time and the number of columns is specified at run time, or vice versa. The compile-time and run-time information should not contradict. In other words, <em>cRows</em> should equal <em>CRows</em> unless <em>CRows</em> is <em>Dynamic</em>, and the same for the number of columns.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.bottomLeftCorner<2,Dynamic>(2,2):"</span> << endl;</div>
<div class="line">cout << m.bottomLeftCorner<2,<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>>(2,2) << endl;</div>
<div class="line">m.bottomLeftCorner<2,<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>>(2,2).<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.bottomLeftCorner<2,Dynamic>(2,2):
6 -3
6 6
Now the matrix m is:
7 9 -5 -3
-2 -6 1 0
0 0 0 9
0 0 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived, CRows, CCols> bottomLeftCorner </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cRows</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cCols</em> </td>
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<td></td>
<td>)</td>
<td></td><td> const</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a641cf096441faf5ab490c4973c719c7a">bottomLeftCorner<int, int>(Index, Index)</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived> bottomRightCorner </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cRows</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cCols</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</table>
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<dl class="section return"><dt>Returns</dt><dd>a dynamic-size expression of a bottom-right corner of *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">cRows</td><td>the number of rows in the corner </td></tr>
<tr><td class="paramname">cCols</td><td>the number of columns in the corner</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.bottomRightCorner(2, 2):"</span> << endl;</div>
<div class="line">cout << m.bottomRightCorner(2, 2) << endl;</div>
<div class="line">m.bottomRightCorner(2, 2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.bottomRightCorner(2, 2):
0 9
3 9
Now the matrix m is:
7 9 -5 -3
-2 -6 1 0
6 -3 0 0
6 6 0 0
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived> bottomRightCorner </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cRows</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cCols</em> </td>
</tr>
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<td></td>
<td>)</td>
<td></td><td> const</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a2b9618f3c9eb4d4c9813ae8f6a8e70c5">bottomRightCorner(Index, Index)</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived, CRows, CCols> bottomRightCorner </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a fixed-size bottom-right corner of *this.</dd></dl>
<p>The template parameters CRows and CCols are the number of rows and columns in the corner.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.bottomRightCorner<2,2>():"</span> << endl;</div>
<div class="line">cout << m.bottomRightCorner<2,2>() << endl;</div>
<div class="line">m.bottomRightCorner<2,2>().<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.bottomRightCorner<2,2>():
0 9
3 9
Now the matrix m is:
7 9 -5 -3
-2 -6 1 0
6 -3 0 0
6 6 0 0
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived, CRows, CCols> bottomRightCorner </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a6563b16b601d9fd66340ab04d101f9d1">bottomRightCorner<int, int>()</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived, CRows, CCols> bottomRightCorner </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a bottom-right corner of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">CRows</td><td>number of rows in corner as specified at compile time </td></tr>
<tr><td class="paramname">CCols</td><td>number of columns in corner as specified at compile time </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">cRows</td><td>number of rows in corner as specified at run time </td></tr>
<tr><td class="paramname">cCols</td><td>number of columns in corner as specified at run time</td></tr>
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<p>This function is mainly useful for corners where the number of rows is specified at compile time and the number of columns is specified at run time, or vice versa. The compile-time and run-time information should not contradict. In other words, <em>cRows</em> should equal <em>CRows</em> unless <em>CRows</em> is <em>Dynamic</em>, and the same for the number of columns.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.bottomRightCorner<2,Dynamic>(2,2):"</span> << endl;</div>
<div class="line">cout << m.bottomRightCorner<2,<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>>(2,2) << endl;</div>
<div class="line">m.bottomRightCorner<2,<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>>(2,2).<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.bottomRightCorner<2,Dynamic>(2,2):
0 9
3 9
Now the matrix m is:
7 9 -5 -3
-2 -6 1 0
6 -3 0 0
6 6 0 0
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived, CRows, CCols> bottomRightCorner </td>
<td>(</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a2b9618f3c9eb4d4c9813ae8f6a8e70c5">bottomRightCorner<int, int>(Index, Index)</a>. </p>
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<td class="memname">RowsBlockXpr bottomRows </td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of the bottom rows of *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>the number of rows in the block</td></tr>
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</dd>
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<p>Example: </p>
<div class="fragment"><div class="line">Array44i a = Array44i::Random();</div>
<div class="line">cout << <span class="stringliteral">"Here is the array a:"</span> << endl << a << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is a.bottomRows(2):"</span> << endl;</div>
<div class="line">cout << a.bottomRows(2) << endl;</div>
<div class="line">a.bottomRows(2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the array a is:"</span> << endl << a << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the array a:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is a.bottomRows(2):
6 -3 0 9
6 6 3 9
Now the array a is:
7 9 -5 -3
-2 -6 1 0
0 0 0 0
0 0 0 0
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">ConstRowsBlockXpr bottomRows </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#afe61d23353a75d7034f7b44ff02aaea1">bottomRows(Index)</a>. </p>
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<td class="memname">NRowsBlockXpr<N>::Type bottomRows </td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of the bottom rows of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">N</td><td>the number of rows in the block</td></tr>
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</dd>
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<p>Example: </p>
<div class="fragment"><div class="line">Array44i a = Array44i::Random();</div>
<div class="line">cout << <span class="stringliteral">"Here is the array a:"</span> << endl << a << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is a.bottomRows<2>():"</span> << endl;</div>
<div class="line">cout << a.bottomRows<2>() << endl;</div>
<div class="line">a.bottomRows<2>().<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the array a is:"</span> << endl << a << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the array a:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is a.bottomRows<2>():
6 -3 0 9
6 6 3 9
Now the array a is:
7 9 -5 -3
-2 -6 1 0
0 0 0 0
0 0 0 0
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">ConstNRowsBlockXpr<N>::Type bottomRows </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a4809c823f0179782a50409c5444b55a1">bottomRows<int>()</a>. </p>
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<td class="memname">internal::cast_return_type<<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > ,const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><internal::scalar_cast_op<typename internal::traits<<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > >::Scalar, NewType>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > >::type cast </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of *this with the <em>Scalar</em> type casted to <em>NewScalar</em>.</dd></dl>
<p>The template parameter <em>NewScalar</em> is the type we are casting the scalars to.</p>
<dl class="section see"><dt>See Also</dt><dd>class CwiseUnaryOp </dd></dl>
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<td class="memname">ColXpr col </td>
<td>(</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the <em>i-th</em> column of *this. Note that the numbering starts at 0.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1MatrixBase.html#a0650b65c6ae6c3d19a138b72a6d68568">Matrix3d::Identity</a>();</div>
<div class="line">m.col(1) = <a class="code" href="group__matrixtypedefs.html#ga2006332f6989f501762673e21f5128f5">Vector3d</a>(4,5,6);</div>
<div class="line">cout << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">1 4 0
0 5 0
0 6 1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aa8716d44f51321072ee5c88665c28813">row()</a>, class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a> </dd></dl>
<p>Referenced by <a class="el" href="classEigen_1_1VectorwiseOp.html#a93a7a9d23fc28219f5dd82f3f90222ca">VectorwiseOp< ExpressionType, Direction >::cross()</a>.</p>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a58c77695de3b33405f01f2fdf3dc389d">col()</a>. </p>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::<a class="el" href="classEigen_1_1VectorwiseOp.html">ConstColwiseReturnType</a> colwise </td>
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<dl class="section return"><dt>Returns</dt><dd>a <a class="el" href="classEigen_1_1VectorwiseOp.html" title="Pseudo expression providing partial reduction operations. ">VectorwiseOp</a> wrapper of *this providing additional partial reduction operations</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is the sum of each column:"</span> << endl << m.colwise().sum() << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is the maximum absolute value of each column:"</span></div>
<div class="line"> << endl << m.cwiseAbs().colwise().maxCoeff() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
0.68 0.597 -0.33
-0.211 0.823 0.536
0.566 -0.605 -0.444
Here is the sum of each column:
1.04 0.815 -0.238
Here is the maximum absolute value of each column:
0.68 0.823 0.536
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a8a7fd1e8004d4bd93a7ea36957aa8e99">rowwise()</a>, class <a class="el" href="classEigen_1_1VectorwiseOp.html" title="Pseudo expression providing partial reduction operations. ">VectorwiseOp</a>, <a class="el" href="group__TutorialReductionsVisitorsBroadcasting.html">Reductions, visitors and broadcasting</a> </dd></dl>
<p>Referenced by <a class="el" href="group__Geometry__Module.html#gab3f5a82a24490b936f8694cf8fef8e60">Eigen::umeyama()</a>.</p>
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<td class="memname"><a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::<a class="el" href="classEigen_1_1VectorwiseOp.html">ColwiseReturnType</a> colwise </td>
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<dl class="section return"><dt>Returns</dt><dd>a writable <a class="el" href="classEigen_1_1VectorwiseOp.html" title="Pseudo expression providing partial reduction operations. ">VectorwiseOp</a> wrapper of *this providing additional partial reduction operations</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a8a7fd1e8004d4bd93a7ea36957aa8e99">rowwise()</a>, class <a class="el" href="classEigen_1_1VectorwiseOp.html" title="Pseudo expression providing partial reduction operations. ">VectorwiseOp</a>, <a class="el" href="group__TutorialReductionsVisitorsBroadcasting.html">Reductions, visitors and broadcasting</a> </dd></dl>
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<td class="memname">ConjugateReturnType conjugate </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the complex conjugate of <code>*this</code>.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#ac43d5834cffcedbd27777329a8f5eeca">adjoint()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::ConstantReturnType Constant </td>
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<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>nbRows</em>, </td>
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<td></td>
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<td class="paramname"><em>nbCols</em>, </td>
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<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>value</em> </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a constant matrix of value <em>value</em> </dd></dl>
<p>The parameters <em>nbRows</em> and <em>nbCols</em> are the number of rows and of columns of the returned matrix. Must be compatible with this <a class="el" href="classEigen_1_1DenseBase.html" title="Base class for all dense matrices, vectors, and arrays. ">DenseBase</a> type.</p>
<p>This variant is meant to be used for dynamic-size matrix types. For fixed-size types, it is redundant to pass <em>nbRows</em> and <em>nbCols</em> as arguments, so <a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero()</a> should be used instead.</p>
<p>The template parameter <em>CustomNullaryOp</em> is the type of the functor.</p>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
<p>References <a class="el" href="classEigen_1_1DenseBase.html#a138e37f3c338a544afb347aaf80d32da">DenseBase< Derived >::NullaryExpr()</a>.</p>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::ConstantReturnType Constant </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a constant matrix of value <em>value</em> </dd></dl>
<p>The parameter <em>size</em> is the size of the returned vector. Must be compatible with this <a class="el" href="classEigen_1_1DenseBase.html" title="Base class for all dense matrices, vectors, and arrays. ">DenseBase</a> type.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>This variant is meant to be used for dynamic-size vector types. For fixed-size types, it is redundant to pass <em>size</em> as argument, so <a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero()</a> should be used instead.</p>
<p>The template parameter <em>CustomNullaryOp</em> is the type of the functor.</p>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
<p>References <a class="el" href="classEigen_1_1DenseBase.html#a138e37f3c338a544afb347aaf80d32da">DenseBase< Derived >::NullaryExpr()</a>.</p>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::ConstantReturnType Constant </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a constant matrix of value <em>value</em> </dd></dl>
<p>This variant is only for fixed-size <a class="el" href="classEigen_1_1DenseBase.html" title="Base class for all dense matrices, vectors, and arrays. ">DenseBase</a> types. For dynamic-size types, you need to use the variants taking size arguments.</p>
<p>The template parameter <em>CustomNullaryOp</em> is the type of the functor.</p>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
<p>References <a class="el" href="classEigen_1_1DenseBase.html#a138e37f3c338a544afb347aaf80d32da">DenseBase< Derived >::NullaryExpr()</a>.</p>
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<td class="memname"><a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::<a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> count </td>
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<dl class="section return"><dt>Returns</dt><dd>the number of coefficients which evaluate to true</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aea914316af61df197f21629e14e7870a">all()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a42571e028736ca9103bac8b50f269824">any()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><internal::scalar_abs_op<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > cwiseAbs </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise absolute value of <code>*this</code> </dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line">MatrixXd m(2,3);</div>
<div class="line">m << 2, -4, 6, </div>
<div class="line"> -5, 1, 0;</div>
<div class="line">cout << m.cwiseAbs() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">2 4 6
5 1 0
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#abc9cb99dcb93caf0c3c37860aeef30b2">cwiseAbs2()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><internal::scalar_abs2_op<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > cwiseAbs2 </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise squared absolute value of <code>*this</code> </dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line">MatrixXd m(2,3);</div>
<div class="line">m << 2, -4, 6, </div>
<div class="line"> -5, 1, 0;</div>
<div class="line">cout << m.cwiseAbs2() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 4 16 36
25 1 0
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#ab4d8398a4497e4a888cfc11c51c14a81">cwiseAbs()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><std::equal_to<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const OtherDerived> cwiseEqual </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > & </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise == operator of *this and <em>other</em> </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>this performs an exact comparison, which is generally a bad idea with floating-point types. In order to check for equality between two vectors or matrices with floating-point coefficients, it is generally a far better idea to use a fuzzy comparison as provided by <a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a> and isMuchSmallerThan().</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga5b9d0d11e78fd355d23221154b7620e4">MatrixXi</a> m(2,2);</div>
<div class="line">m << 1, 0,</div>
<div class="line"> 1, 1;</div>
<div class="line">cout << <span class="stringliteral">"Comparing m with identity matrix:"</span> << endl;</div>
<div class="line">cout << m.cwiseEqual(MatrixXi::Identity(2,2)) << endl;</div>
<div class="line"><span class="keywordtype">int</span> count = m.cwiseEqual(MatrixXi::Identity(2,2)).count();</div>
<div class="line">cout << <span class="stringliteral">"Number of coefficients that are equal: "</span> << count << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Comparing m with identity matrix:
1 1
0 1
Number of coefficients that are equal: 3
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#ac3f5276480c741953c66498a078ecd30">cwiseNotEqual()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a>, isMuchSmallerThan() </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><std::binder1st<std::equal_to<Scalar> >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > cwiseEqual </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise == operator of <code>*this</code> and a scalar <em>s</em> </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>this performs an exact comparison, which is generally a bad idea with floating-point types. In order to check for equality between two vectors or matrices with floating-point coefficients, it is generally a far better idea to use a fuzzy comparison as provided by <a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a> and isMuchSmallerThan().</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#a2373e043b49396e152523e85b0a2ace8">cwiseEqual(const MatrixBase<OtherDerived> &) const</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><internal::scalar_inverse_op<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > cwiseInverse </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise inverse of *this.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line">MatrixXd m(2,3);</div>
<div class="line">m << 2, 0.5, 1, </div>
<div class="line"> 3, 0.25, 1;</div>
<div class="line">cout << m.cwiseInverse() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">0.5 2 1
0.333 4 1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#ae759f49ab64f4d454e591bf610a09156">cwiseProduct()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><internal::scalar_max_op<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const OtherDerived> cwiseMax </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > & </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise max of *this and <em>other</em> </dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga2006332f6989f501762673e21f5128f5">Vector3d</a> v(2,3,4), w(4,2,3);</div>
<div class="line">cout << v.cwiseMax(w) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">4
3
4
</pre><dl class="section see"><dt>See Also</dt><dd>class CwiseBinaryOp, min() </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><internal::scalar_max_op<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const ConstantReturnType> cwiseMax </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise max of *this and scalar <em>other</em> </dd></dl>
<dl class="section see"><dt>See Also</dt><dd>class CwiseBinaryOp, min() </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><internal::scalar_min_op<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const OtherDerived> cwiseMin </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > & </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise min of *this and <em>other</em> </dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga2006332f6989f501762673e21f5128f5">Vector3d</a> v(2,3,4), w(4,2,3);</div>
<div class="line">cout << v.cwiseMin(w) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">2
2
3
</pre><dl class="section see"><dt>See Also</dt><dd>class CwiseBinaryOp, max() </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><internal::scalar_min_op<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const ConstantReturnType> cwiseMin </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise min of *this and scalar <em>other</em> </dd></dl>
<dl class="section see"><dt>See Also</dt><dd>class CwiseBinaryOp, min() </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><std::not_equal_to<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const OtherDerived> cwiseNotEqual </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > & </td>
<td class="paramname"><em>other</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise != operator of *this and <em>other</em> </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>this performs an exact comparison, which is generally a bad idea with floating-point types. In order to check for equality between two vectors or matrices with floating-point coefficients, it is generally a far better idea to use a fuzzy comparison as provided by <a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a> and isMuchSmallerThan().</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga5b9d0d11e78fd355d23221154b7620e4">MatrixXi</a> m(2,2);</div>
<div class="line">m << 1, 0,</div>
<div class="line"> 1, 1;</div>
<div class="line">cout << <span class="stringliteral">"Comparing m with identity matrix:"</span> << endl;</div>
<div class="line">cout << m.cwiseNotEqual(MatrixXi::Identity(2,2)) << endl;</div>
<div class="line"><span class="keywordtype">int</span> count = m.cwiseNotEqual(MatrixXi::Identity(2,2)).count();</div>
<div class="line">cout << <span class="stringliteral">"Number of coefficients that are not equal: "</span> << count << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Comparing m with identity matrix:
0 0
1 0
Number of coefficients that are not equal: 1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#ae1f241762b604c2117232c5c994068bb">cwiseEqual()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a>, isMuchSmallerThan() </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><internal::scalar_product_op<typename <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > ::Scalar, typename OtherDerived ::Scalar >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const OtherDerived > cwiseProduct </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the Schur product (coefficient wise product) of *this and <em>other</em> </dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga4b6688615f30a9959be0285115080c3d">Matrix3i</a> a = Matrix3i::Random(), b = Matrix3i::Random();</div>
<div class="line"><a class="code" href="group__matrixtypedefs.html#ga4b6688615f30a9959be0285115080c3d">Matrix3i</a> c = a.cwiseProduct(b);</div>
<div class="line">cout << <span class="stringliteral">"a:\n"</span> << a << <span class="stringliteral">"\nb:\n"</span> << b << <span class="stringliteral">"\nc:\n"</span> << c << endl;</div>
<div class="line"></div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">a:
7 6 -3
-2 9 6
6 -6 -5
b:
1 -3 9
0 0 3
3 9 5
c:
7 -18 -27
0 0 18
18 -54 -25
</pre><dl class="section see"><dt>See Also</dt><dd>class CwiseBinaryOp, <a class="el" href="classEigen_1_1MatrixBase.html#abc9cb99dcb93caf0c3c37860aeef30b2">cwiseAbs2</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><internal::scalar_quotient_op<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const OtherDerived> cwiseQuotient </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a>< OtherDerived > & </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise quotient of *this and <em>other</em> </dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga2006332f6989f501762673e21f5128f5">Vector3d</a> v(2,3,4), w(4,2,3);</div>
<div class="line">cout << v.cwiseQuotient(w) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">0.5
1.5
1.33
</pre><dl class="section see"><dt>See Also</dt><dd>class CwiseBinaryOp, <a class="el" href="classEigen_1_1MatrixBase.html#ae759f49ab64f4d454e591bf610a09156">cwiseProduct()</a>, <a class="el" href="classEigen_1_1MatrixBase.html#a433cd5f8e17b2662c4081ec798fa54be">cwiseInverse()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><internal::scalar_sqrt_op<Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > cwiseSqrt </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the coefficient-wise square root of *this.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga2006332f6989f501762673e21f5128f5">Vector3d</a> v(1,2,4);</div>
<div class="line">cout << v.cwiseSqrt() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">1
1.41
2
</pre><dl class="section see"><dt>See Also</dt><dd>cwisePow(), cwiseSquare() </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> diagonalSize </td>
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<dl class="section return"><dt>Returns</dt><dd>the size of the main diagonal, which is min(rows(),cols()). </dd></dl>
<dl class="section see"><dt>See Also</dt><dd>rows(), cols(), <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294cab30be5c02d7a124ec165d2ab6c5b05ed">SizeAtCompileTime</a>. </dd></dl>
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<td class="memname">EvalReturnType eval </td>
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<dl class="section return"><dt>Returns</dt><dd>the matrix or vector obtained by evaluating this expression.</dd></dl>
<p>Notice that in the case of a plain matrix or vector (not an expression) this function just returns a const reference, in order to avoid a useless copy. </p>
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<td class="memname">void fill </td>
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<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>val</em></td><td>)</td>
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<p>Alias for <a class="el" href="classEigen_1_1DenseBase.html#a351ca566980cf96d9cdd61f3ce0cf94f">setConstant()</a>: sets all coefficients in this expression to <em>val</em>.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a351ca566980cf96d9cdd61f3ce0cf94f">setConstant()</a>, <a class="el" href="classEigen_1_1DenseBase.html#abb7652b9ae2c6ee26be9db276613c4f6">Constant()</a>, class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
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<td class="memname">const Flagged< Derived, Added, Removed > flagged </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of *this with added and removed flags</dd></dl>
<p>This is mostly for internal use.</p>
<dl class="section see"><dt>See Also</dt><dd>class Flagged </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1WithFormat.html">WithFormat</a>< Derived > format </td>
<td>(</td>
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<dl class="section return"><dt>Returns</dt><dd>a <a class="el" href="classEigen_1_1WithFormat.html" title="Pseudo expression providing matrix output with given format. ">WithFormat</a> proxy object allowing to print a matrix the with given format <em>fmt</em>.</dd></dl>
<p>See class <a class="el" href="structEigen_1_1IOFormat.html" title="Stores a set of parameters controlling the way matrices are printed. ">IOFormat</a> for some examples.</p>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="structEigen_1_1IOFormat.html" title="Stores a set of parameters controlling the way matrices are printed. ">IOFormat</a>, class <a class="el" href="classEigen_1_1WithFormat.html" title="Pseudo expression providing matrix output with given format. ">WithFormat</a> </dd></dl>
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<td class="memname">bool hasNaN </td>
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<dl class="section return"><dt>Returns</dt><dd>true is <code>*this</code> contains at least one Not A Number (NaN).</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#ac1dba91a5de689327121c20af5a5c18a">allFinite()</a> </dd></dl>
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<td class="memname">SegmentReturnType head </td>
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<dl class="section return"><dt>Returns</dt><dd>a dynamic-size expression of the first coefficients of *this.</dd></dl>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">vecSize</td><td>the number of coefficients in the block</td></tr>
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</dd>
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<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga1b8ec6f0766c4900ed6f84f30c36669a">RowVector4i</a> v = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">RowVector4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the vector v:"</span> << endl << v << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is v.head(2):"</span> << endl << v.head(2) << endl;</div>
<div class="line">v.head(2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the vector v is:"</span> << endl << v << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the vector v:
7 -2 6 6
Here is v.head(2):
7 -2
Now the vector v is:
0 0 6 6
</pre><dl class="section note"><dt>Note</dt><dd>Even though the returned expression has dynamic size, in the case when it is applied to a fixed-size vector, it inherits a fixed maximal size, which means that evaluating it does not cause a dynamic memory allocation.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a3e433315822db2811a65e88c70672743">block(Index,Index)</a> </dd></dl>
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<td class="memname">ConstSegmentReturnType head </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a72cddecfa6737b4388ef26c3a559a716">head(Index)</a>. </p>
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<dl class="section return"><dt>Returns</dt><dd>a fixed-size expression of the first coefficients of *this.</dd></dl>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>The template parameter <em>Size</em> is the number of coefficients in the block</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga1b8ec6f0766c4900ed6f84f30c36669a">RowVector4i</a> v = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">RowVector4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the vector v:"</span> << endl << v << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is v.head(2):"</span> << endl << v.head<2>() << endl;</div>
<div class="line">v.head<2>().<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the vector v is:"</span> << endl << v << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the vector v:
7 -2 6 6
Here is v.head(2):
7 -2
Now the vector v is:
0 0 6 6
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a> </dd></dl>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a361e155375a3c7983c294641b1e91a15">head<int>()</a>. </p>
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<dl class="section return"><dt>Returns</dt><dd>an read-only expression of the imaginary part of <code>*this</code>.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#accfa15407b80807dab914b1844c725e5">real()</a> </dd></dl>
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<dl class="section return"><dt>Returns</dt><dd>a non const expression of the imaginary part of <code>*this</code>.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#accfa15407b80807dab914b1844c725e5">real()</a> </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> innerSize </td>
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<dl class="section return"><dt>Returns</dt><dd>the inner size.</dd></dl>
<dl class="section note"><dt>Note</dt><dd>For a vector, this is just the size. For a matrix (non-vector), this is the minor dimension with respect to the <a class="el" href="group__TopicStorageOrders.html">storage order</a>, i.e., the number of rows for a column-major matrix, and the number of columns for a row-major matrix. </dd></dl>
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<td class="memname">bool isApprox </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< OtherDerived > & </td>
<td class="paramname"><em>other</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const RealScalar & </td>
<td class="paramname"><em>prec</em> = <code><a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a><Scalar>::dummy_precision()</code> </td>
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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 note"><dt>Note</dt><dd>The fuzzy compares are done multiplicatively. Two vectors <img class="formulaInl" alt="$ v $" src="form_13.png"/> and <img class="formulaInl" alt="$ w $" src="form_14.png"/> are considered to be approximately equal within precision <img class="formulaInl" alt="$ p $" src="form_15.png"/> if <p class="formulaDsp">
<img class="formulaDsp" alt="\[ \Vert v - w \Vert \leqslant p\,\min(\Vert v\Vert, \Vert w\Vert). \]" src="form_16.png"/>
</p>
For matrices, the comparison is done using the Hilbert-Schmidt norm (aka Frobenius norm L2 norm).</dd>
<dd>
Because of the multiplicativeness of this comparison, one can't use this function to check whether <code>*this</code> is approximately equal to the zero matrix or vector. Indeed, <code>isApprox(zero)</code> returns false unless <code>*this</code> itself is exactly the zero matrix or vector. If you want to test whether <code>*this</code> is zero, use internal::isMuchSmallerThan(const RealScalar&, RealScalar) instead.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>internal::isMuchSmallerThan(const RealScalar&, RealScalar) const </dd></dl>
<p>Referenced by <a class="el" href="classEigen_1_1Transform.html#a970e36d17bd859badeacfbe73bc7364b">Transform< Scalar, Dim, Mode, _Options >::isApprox()</a>.</p>
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<td class="memname">bool isApproxToConstant </td>
<td>(</td>
<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>val</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const RealScalar & </td>
<td class="paramname"><em>prec</em> = <code><a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a><Scalar>::dummy_precision()</code> </td>
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<dl class="section return"><dt>Returns</dt><dd>true if all coefficients in this matrix are approximately equal to <em>val</em>, to within precision <em>prec</em> </dd></dl>
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<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>val</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const RealScalar & </td>
<td class="paramname"><em>prec</em> = <code><a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a><Scalar>::dummy_precision()</code> </td>
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<p>This is just an alias for <a class="el" href="classEigen_1_1DenseBase.html#aed2515d3d813e1355933b6e0def44640">isApproxToConstant()</a>.</p>
<dl class="section return"><dt>Returns</dt><dd>true if all coefficients in this matrix are approximately equal to <em>value</em>, to within precision <em>prec</em> </dd></dl>
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<td>(</td>
<td class="paramtype">const typename <a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>< Scalar >::Real & </td>
<td class="paramname"><em>other</em>, </td>
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<td class="paramname"><em>prec</em> </td>
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<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the norm of <code>*this</code> is much smaller than <em>other</em>, within the precision determined by <em>prec</em>.</dd></dl>
<dl class="section note"><dt>Note</dt><dd>The fuzzy compares are done multiplicatively. A vector <img class="formulaInl" alt="$ v $" src="form_13.png"/> is considered to be much smaller than <img class="formulaInl" alt="$ x $" src="form_17.png"/> within precision <img class="formulaInl" alt="$ p $" src="form_15.png"/> if <p class="formulaDsp">
<img class="formulaDsp" alt="\[ \Vert v \Vert \leqslant p\,\vert x\vert. \]" src="form_18.png"/>
</p>
</dd></dl>
<p>For matrices, the comparison is done using the Hilbert-Schmidt norm. For this reason, the value of the reference scalar <em>other</em> should come from the Hilbert-Schmidt norm of a reference matrix of same dimensions.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a>, isMuchSmallerThan(const DenseBase<OtherDerived>&, RealScalar) const </dd></dl>
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<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< OtherDerived > & </td>
<td class="paramname"><em>other</em>, </td>
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<td class="paramname"><em>prec</em> = <code><a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a><Scalar>::dummy_precision()</code> </td>
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<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the norm of <code>*this</code> is much smaller than the norm of <em>other</em>, within the precision determined by <em>prec</em>.</dd></dl>
<dl class="section note"><dt>Note</dt><dd>The fuzzy compares are done multiplicatively. A vector <img class="formulaInl" alt="$ v $" src="form_13.png"/> is considered to be much smaller than a vector <img class="formulaInl" alt="$ w $" src="form_14.png"/> within precision <img class="formulaInl" alt="$ p $" src="form_15.png"/> if <p class="formulaDsp">
<img class="formulaDsp" alt="\[ \Vert v \Vert \leqslant p\,\Vert w\Vert. \]" src="form_19.png"/>
</p>
For matrices, the comparison is done using the Hilbert-Schmidt norm.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a>, isMuchSmallerThan(const RealScalar&, RealScalar) const </dd></dl>
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<td class="memname">bool isOnes </td>
<td>(</td>
<td class="paramtype">const RealScalar & </td>
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<dl class="section return"><dt>Returns</dt><dd>true if *this is approximately equal to the matrix where all coefficients are equal to 1, within the precision given by <em>prec</em>.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">Matrix3d::Ones</a>();</div>
<div class="line">m(0,2) += 1e-4;</div>
<div class="line">cout << <span class="stringliteral">"Here's the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"m.isOnes() returns: "</span> << m.isOnes() << endl;</div>
<div class="line">cout << <span class="stringliteral">"m.isOnes(1e-3) returns: "</span> << m.isOnes(1e-3) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here's the matrix m:
1 1 1
1 1 1
1 1 1
m.isOnes() returns: 0
m.isOnes(1e-3) returns: 1
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a>, <a class="el" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">Ones()</a> </dd></dl>
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<td>(</td>
<td class="paramtype">const RealScalar & </td>
<td class="paramname"><em>prec</em> = <code><a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a><Scalar>::dummy_precision()</code></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>true if *this is approximately equal to the zero matrix, within the precision given by <em>prec</em>.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Matrix3d::Zero</a>();</div>
<div class="line">m(0,2) = 1e-4;</div>
<div class="line">cout << <span class="stringliteral">"Here's the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"m.isZero() returns: "</span> << m.isZero() << endl;</div>
<div class="line">cout << <span class="stringliteral">"m.isZero(1e-3) returns: "</span> << m.isZero(1e-3) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here's the matrix m:
0 0 0.0001
0 0 0
0 0 0
m.isZero() returns: 0
m.isZero(1e-3) returns: 1
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a>, <a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero()</a> </dd></dl>
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<td class="memname">ColsBlockXpr leftCols </td>
<td>(</td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of the left columns of *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>the number of columns in the block</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line">Array44i a = Array44i::Random();</div>
<div class="line">cout << <span class="stringliteral">"Here is the array a:"</span> << endl << a << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is a.leftCols(2):"</span> << endl;</div>
<div class="line">cout << a.leftCols(2) << endl;</div>
<div class="line">a.leftCols(2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the array a is:"</span> << endl << a << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the array a:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is a.leftCols(2):
7 9
-2 -6
6 -3
6 6
Now the array a is:
0 0 -5 -3
0 0 1 0
0 0 0 9
0 0 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">ConstColsBlockXpr leftCols </td>
<td>(</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#ace4288d22b0312944ec93c8c46474ef6">leftCols(Index)</a>. </p>
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<td class="memname">NColsBlockXpr<N>::Type leftCols </td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of the left columns of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">N</td><td>the number of columns in the block</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line">Array44i a = Array44i::Random();</div>
<div class="line">cout << <span class="stringliteral">"Here is the array a:"</span> << endl << a << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is a.leftCols<2>():"</span> << endl;</div>
<div class="line">cout << a.leftCols<2>() << endl;</div>
<div class="line">a.leftCols<2>().<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the array a is:"</span> << endl << a << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the array a:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is a.leftCols<2>():
7 9
-2 -6
6 -3
6 6
Now the array a is:
0 0 -5 -3
0 0 1 0
0 0 0 9
0 0 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a01053284fe198875df0ff63aae33eea8">leftCols<int>()</a>. </p>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::SequentialLinSpacedReturnType LinSpaced </td>
<td>(</td>
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<td class="paramname"><em>size</em>, </td>
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<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>low</em>, </td>
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<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>high</em> </td>
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<p>Sets a linearly space vector. </p>
<p>The function generates 'size' equally spaced values in the closed interval [low,high]. This particular version of <a class="el" href="classEigen_1_1DenseBase.html#a03a4ddf48fc9f3674a783da9c6ae34d8" title="Sets a linearly space vector. ">LinSpaced()</a> uses sequential access, i.e. vector access is assumed to be a(0), a(1), ..., a(size). This assumption allows for better vectorization and yields faster code than the random access version.</p>
<p>When size is set to 1, a vector of length 1 containing 'high' is returned.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << VectorXi::LinSpaced(Sequential,4,7,10).transpose() << endl;</div>
<div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a03a4ddf48fc9f3674a783da9c6ae34d8">VectorXd::LinSpaced</a>(Sequential,5,0.0,1.0).transpose() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 7 8 9 10
0 0.25 0.5 0.75 1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aca96b3050ceeffaa781d3d4ee185bd1d" title="Sets a linearly space vector. ">setLinSpaced(Index,const Scalar&,const Scalar&)</a>, LinSpaced(Index,Scalar,Scalar), <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
<p>References <a class="el" href="classEigen_1_1DenseBase.html#a138e37f3c338a544afb347aaf80d32da">DenseBase< Derived >::NullaryExpr()</a>.</p>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::RandomAccessLinSpacedReturnType LinSpaced </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>size</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>low</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>high</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<p>Sets a linearly space vector. </p>
<p>The function generates 'size' equally spaced values in the closed interval [low,high]. When size is set to 1, a vector of length 1 containing 'high' is returned.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << VectorXi::LinSpaced(4,7,10).transpose() << endl;</div>
<div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a03a4ddf48fc9f3674a783da9c6ae34d8">VectorXd::LinSpaced</a>(5,0.0,1.0).transpose() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 7 8 9 10
0 0.25 0.5 0.75 1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aca96b3050ceeffaa781d3d4ee185bd1d" title="Sets a linearly space vector. ">setLinSpaced(Index,const Scalar&,const Scalar&)</a>, LinSpaced(Sequential_t,Index,const Scalar&,const Scalar&,Index), <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
<p>References <a class="el" href="classEigen_1_1DenseBase.html#a138e37f3c338a544afb347aaf80d32da">DenseBase< Derived >::NullaryExpr()</a>.</p>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::SequentialLinSpacedReturnType LinSpaced </td>
<td>(</td>
<td class="paramtype">Sequential_t </td>
<td class="paramname">, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>low</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>high</em> </td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<p>Sets a linearly space vector. </p>
<p>The function generates 'size' equally spaced values in the closed interval [low,high]. This particular version of <a class="el" href="classEigen_1_1DenseBase.html#a03a4ddf48fc9f3674a783da9c6ae34d8" title="Sets a linearly space vector. ">LinSpaced()</a> uses sequential access, i.e. vector access is assumed to be a(0), a(1), ..., a(size). This assumption allows for better vectorization and yields faster code than the random access version.</p>
<p>When size is set to 1, a vector of length 1 containing 'high' is returned.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << VectorXi::LinSpaced(Sequential,4,7,10).transpose() << endl;</div>
<div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a03a4ddf48fc9f3674a783da9c6ae34d8">VectorXd::LinSpaced</a>(Sequential,5,0.0,1.0).transpose() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 7 8 9 10
0 0.25 0.5 0.75 1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aca96b3050ceeffaa781d3d4ee185bd1d" title="Sets a linearly space vector. ">setLinSpaced(Index,const Scalar&,const Scalar&)</a>, LinSpaced(Index,Scalar,Scalar), <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> Special version for fixed size types which does not require the size parameter. </dd></dl>
<p>References <a class="el" href="classEigen_1_1DenseBase.html#a138e37f3c338a544afb347aaf80d32da">DenseBase< Derived >::NullaryExpr()</a>.</p>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::RandomAccessLinSpacedReturnType LinSpaced </td>
<td>(</td>
<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>low</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>high</em> </td>
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<td></td>
<td>)</td>
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<p>Sets a linearly space vector. </p>
<p>The function generates 'size' equally spaced values in the closed interval [low,high]. When size is set to 1, a vector of length 1 containing 'high' is returned.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << VectorXi::LinSpaced(4,7,10).transpose() << endl;</div>
<div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a03a4ddf48fc9f3674a783da9c6ae34d8">VectorXd::LinSpaced</a>(5,0.0,1.0).transpose() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 7 8 9 10
0 0.25 0.5 0.75 1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aca96b3050ceeffaa781d3d4ee185bd1d" title="Sets a linearly space vector. ">setLinSpaced(Index,const Scalar&,const Scalar&)</a>, LinSpaced(Sequential_t,Index,const Scalar&,const Scalar&,Index), <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> Special version for fixed size types which does not require the size parameter. </dd></dl>
<p>References <a class="el" href="classEigen_1_1DenseBase.html#a138e37f3c338a544afb347aaf80d32da">DenseBase< Derived >::NullaryExpr()</a>.</p>
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<td class="memname">internal::traits< Derived >::Scalar maxCoeff </td>
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<dl class="section return"><dt>Returns</dt><dd>the maximum of all coefficients of <code>*this</code>. </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>the result is undefined if <code>*this</code> contains NaN. </dd></dl>
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<td class="memname">internal::traits< Derived >::Scalar maxCoeff </td>
<td>(</td>
<td class="paramtype">IndexType * </td>
<td class="paramname"><em>rowPtr</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">IndexType * </td>
<td class="paramname"><em>colPtr</em> </td>
</tr>
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<td></td>
<td>)</td>
<td></td><td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the maximum of all coefficients of *this and puts in *row and *col its location. </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>the result is undefined if <code>*this</code> contains NaN.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>DenseBase::minCoeff(IndexType*,IndexType*), DenseBase::visitor(), <a class="el" href="classEigen_1_1DenseBase.html#a878f0dae18b28d8158c5f1c232edced2">DenseBase::maxCoeff()</a> </dd></dl>
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<td class="memname">internal::traits< Derived >::Scalar maxCoeff </td>
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<td class="paramtype">IndexType * </td>
<td class="paramname"><em>index</em></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the maximum of all coefficients of *this and puts in *index its location. </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>the result is undefined if <code>*this</code> contains NaN.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>DenseBase::maxCoeff(IndexType*,IndexType*), DenseBase::minCoeff(IndexType*,IndexType*), DenseBase::visitor(), <a class="el" href="classEigen_1_1DenseBase.html#a878f0dae18b28d8158c5f1c232edced2">DenseBase::maxCoeff()</a> </dd></dl>
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<td class="memname">internal::traits< Derived >::Scalar mean </td>
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<dl class="section return"><dt>Returns</dt><dd>the mean of all coefficients of *this</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>trace(), <a class="el" href="classEigen_1_1DenseBase.html#a6bdcbfa7e3b07d3246ad80de7170b0f5">prod()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a3a3b3fb530d3364ecef0bf9c9daf0983">sum()</a> </dd></dl>
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<td class="memname">ColsBlockXpr middleCols </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>startCol</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>numCols</em> </td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of a range of columns of *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">startCol</td><td>the index of the first column in the block </td></tr>
<tr><td class="paramname">numCols</td><td>the number of columns in the block</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Core></span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"></div>
<div class="line"><span class="keyword">using namespace </span>Eigen;</div>
<div class="line"><span class="keyword">using namespace </span>std;</div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> main(<span class="keywordtype">void</span>)</div>
<div class="line">{</div>
<div class="line"> <span class="keywordtype">int</span> <span class="keyword">const</span> N = 5;</div>
<div class="line"> <a class="code" href="classEigen_1_1Matrix.html">MatrixXi</a> A(N,N);</div>
<div class="line"> A.setRandom();</div>
<div class="line"> cout << <span class="stringliteral">"A =\n"</span> << A << <span class="charliteral">'\n'</span> << endl;</div>
<div class="line"> cout << <span class="stringliteral">"A(1..3,:) =\n"</span> << A.middleCols(1,3) << endl;</div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">A =
7 -6 0 9 -10
-2 -3 3 3 -5
6 6 -3 5 -8
6 -5 0 -8 6
9 1 9 2 -7
A(1..3,:) =
-6 0 9
-3 3 3
6 -3 5
-5 0 -8
1 9 2
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">ConstColsBlockXpr middleCols </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>startCol</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>numCols</em> </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a2d4f5da8e2019251ad3ed876d363d5d1">middleCols(Index,Index)</a>. </p>
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<td>(</td>
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<td class="paramname"><em>startCol</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of a range of columns of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">N</td><td>the number of columns in the block </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">startCol</td><td>the index of the first column in the block</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Core></span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"></div>
<div class="line"><span class="keyword">using namespace </span>Eigen;</div>
<div class="line"><span class="keyword">using namespace </span>std;</div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> main(<span class="keywordtype">void</span>)</div>
<div class="line">{</div>
<div class="line"> <span class="keywordtype">int</span> <span class="keyword">const</span> N = 5;</div>
<div class="line"> <a class="code" href="classEigen_1_1Matrix.html">MatrixXi</a> A(N,N);</div>
<div class="line"> A.setRandom();</div>
<div class="line"> cout << <span class="stringliteral">"A =\n"</span> << A << <span class="charliteral">'\n'</span> << endl;</div>
<div class="line"> cout << <span class="stringliteral">"A(:,1..3) =\n"</span> << A.middleCols<3>(1) << endl;</div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">A =
7 -6 0 9 -10
-2 -3 3 3 -5
6 6 -3 5 -8
6 -5 0 -8 6
9 1 9 2 -7
A(:,1..3) =
-6 0 9
-3 3 3
6 -3 5
-5 0 -8
1 9 2
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">ConstNColsBlockXpr<N>::Type middleCols </td>
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<td class="paramname"><em>startCol</em></td><td>)</td>
<td> const</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a2d4f5da8e2019251ad3ed876d363d5d1">middleCols<int>()</a>. </p>
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<td class="memname">RowsBlockXpr middleRows </td>
<td>(</td>
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<td class="paramname"><em>startRow</em>, </td>
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<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>numRows</em> </td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of a range of rows of *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">startRow</td><td>the index of the first row in the block </td></tr>
<tr><td class="paramname">numRows</td><td>the number of rows in the block</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Core></span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"></div>
<div class="line"><span class="keyword">using namespace </span>Eigen;</div>
<div class="line"><span class="keyword">using namespace </span>std;</div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> main(<span class="keywordtype">void</span>)</div>
<div class="line">{</div>
<div class="line"> <span class="keywordtype">int</span> <span class="keyword">const</span> N = 5;</div>
<div class="line"> <a class="code" href="classEigen_1_1Matrix.html">MatrixXi</a> A(N,N);</div>
<div class="line"> A.setRandom();</div>
<div class="line"> cout << <span class="stringliteral">"A =\n"</span> << A << <span class="charliteral">'\n'</span> << endl;</div>
<div class="line"> cout << <span class="stringliteral">"A(2..3,:) =\n"</span> << A.middleRows(2,2) << endl;</div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">A =
7 -6 0 9 -10
-2 -3 3 3 -5
6 6 -3 5 -8
6 -5 0 -8 6
9 1 9 2 -7
A(2..3,:) =
6 6 -3 5 -8
6 -5 0 -8 6
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">ConstRowsBlockXpr middleRows </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>startRow</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>numRows</em> </td>
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<td></td>
<td>)</td>
<td></td><td> const</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#aa87a7527cd042907d180cf0c36c5f48a">middleRows(Index,Index)</a>. </p>
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<td class="memname">NRowsBlockXpr<N>::Type middleRows </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>startRow</em></td><td>)</td>
<td></td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of a range of rows of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">N</td><td>the number of rows in the block </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">startRow</td><td>the index of the first row in the block</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Core></span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"></div>
<div class="line"><span class="keyword">using namespace </span>Eigen;</div>
<div class="line"><span class="keyword">using namespace </span>std;</div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> main(<span class="keywordtype">void</span>)</div>
<div class="line">{</div>
<div class="line"> <span class="keywordtype">int</span> <span class="keyword">const</span> N = 5;</div>
<div class="line"> <a class="code" href="classEigen_1_1Matrix.html">MatrixXi</a> A(N,N);</div>
<div class="line"> A.setRandom();</div>
<div class="line"> cout << <span class="stringliteral">"A =\n"</span> << A << <span class="charliteral">'\n'</span> << endl;</div>
<div class="line"> cout << <span class="stringliteral">"A(1..3,:) =\n"</span> << A.middleRows<3>(1) << endl;</div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">A =
7 -6 0 9 -10
-2 -3 3 3 -5
6 6 -3 5 -8
6 -5 0 -8 6
9 1 9 2 -7
A(1..3,:) =
-2 -3 3 3 -5
6 6 -3 5 -8
6 -5 0 -8 6
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">ConstNRowsBlockXpr<N>::Type middleRows </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>startRow</em></td><td>)</td>
<td> const</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#aa87a7527cd042907d180cf0c36c5f48a">middleRows<int>()</a>. </p>
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<td class="memname">internal::traits< Derived >::Scalar minCoeff </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the minimum of all coefficients of <code>*this</code>. </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>the result is undefined if <code>*this</code> contains NaN. </dd></dl>
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<td class="memname">internal::traits< Derived >::Scalar minCoeff </td>
<td>(</td>
<td class="paramtype">IndexType * </td>
<td class="paramname"><em>rowId</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">IndexType * </td>
<td class="paramname"><em>colId</em> </td>
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<td></td>
<td>)</td>
<td></td><td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the minimum of all coefficients of *this and puts in *row and *col its location. </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>the result is undefined if <code>*this</code> contains NaN.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>DenseBase::minCoeff(Index*), DenseBase::maxCoeff(Index*,Index*), DenseBase::visitor(), <a class="el" href="classEigen_1_1DenseBase.html#add6cb2d85282829eb9adc9565ce784d6">DenseBase::minCoeff()</a> </dd></dl>
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<td class="memname">internal::traits< Derived >::Scalar minCoeff </td>
<td>(</td>
<td class="paramtype">IndexType * </td>
<td class="paramname"><em>index</em></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the minimum of all coefficients of *this and puts in *index its location. </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>the result is undefined if <code>*this</code> contains NaN.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>DenseBase::minCoeff(IndexType*,IndexType*), DenseBase::maxCoeff(IndexType*,IndexType*), DenseBase::visitor(), <a class="el" href="classEigen_1_1DenseBase.html#add6cb2d85282829eb9adc9565ce784d6">DenseBase::minCoeff()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1NestByValue.html">NestByValue</a>< Derived > nestByValue </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the temporary version of *this. </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> nonZeros </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the number of nonzero coefficients which is in practice the number of stored coefficients. </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a>< CustomNullaryOp, Derived > NullaryExpr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>rows</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cols</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const CustomNullaryOp & </td>
<td class="paramname"><em>func</em> </td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a matrix defined by a custom functor <em>func</em> </dd></dl>
<p>The parameters <em>rows</em> and <em>cols</em> are the number of rows and of columns of the returned matrix. Must be compatible with this <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> type.</p>
<p>This variant is meant to be used for dynamic-size matrix types. For fixed-size types, it is redundant to pass <em>rows</em> and <em>cols</em> as arguments, so <a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero()</a> should be used instead.</p>
<p>The template parameter <em>CustomNullaryOp</em> is the type of the functor.</p>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
<p>Referenced by <a class="el" href="classEigen_1_1DenseBase.html#abb7652b9ae2c6ee26be9db276613c4f6">DenseBase< Derived >::Constant()</a>, <a class="el" href="classEigen_1_1MatrixBase.html#ac836fdaa36fbf51080ca710d682ef039">MatrixBase< Derived >::Identity()</a>, and <a class="el" href="classEigen_1_1DenseBase.html#a03a4ddf48fc9f3674a783da9c6ae34d8">DenseBase< Derived >::LinSpaced()</a>.</p>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a>< CustomNullaryOp, Derived > NullaryExpr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>size</em>, </td>
</tr>
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<td></td>
<td class="paramtype">const CustomNullaryOp & </td>
<td class="paramname"><em>func</em> </td>
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<td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a matrix defined by a custom functor <em>func</em> </dd></dl>
<p>The parameter <em>size</em> is the size of the returned vector. Must be compatible with this <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> type.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>This variant is meant to be used for dynamic-size vector types. For fixed-size types, it is redundant to pass <em>size</em> as argument, so <a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero()</a> should be used instead.</p>
<p>The template parameter <em>CustomNullaryOp</em> is the type of the functor.</p>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a>< CustomNullaryOp, Derived > NullaryExpr </td>
<td>(</td>
<td class="paramtype">const CustomNullaryOp & </td>
<td class="paramname"><em>func</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a matrix defined by a custom functor <em>func</em> </dd></dl>
<p>This variant is only for fixed-size <a class="el" href="classEigen_1_1DenseBase.html" title="Base class for all dense matrices, vectors, and arrays. ">DenseBase</a> types. For dynamic-size types, you need to use the variants taking size arguments.</p>
<p>The template parameter <em>CustomNullaryOp</em> is the type of the functor.</p>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::ConstantReturnType Ones </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
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<td class="paramname"><em>nbCols</em> </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a matrix where all coefficients equal one.</dd></dl>
<p>The parameters <em>nbRows</em> and <em>nbCols</em> are the number of rows and of columns of the returned matrix. Must be compatible with this <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> type.</p>
<p>This variant is meant to be used for dynamic-size matrix types. For fixed-size types, it is redundant to pass <em>rows</em> and <em>cols</em> as arguments, so <a class="el" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">Ones()</a> should be used instead.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">MatrixXi::Ones</a>(2,3) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">1 1 1
1 1 1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">Ones()</a>, <a class="el" href="classEigen_1_1DenseBase.html#adec530c086d6b585ebb009fe4fbb77e6">Ones(Index)</a>, <a class="el" href="classEigen_1_1DenseBase.html#a34b4423fdfdf0c0644268095c55fe6ea">isOnes()</a>, class <a class="el" href="classEigen_1_1DenseBase.html#ad148f93a6a00e32ef00903c5393337ef">Ones</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::ConstantReturnType Ones </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a vector where all coefficients equal one.</dd></dl>
<p>The parameter <em>newSize</em> is the size of the returned vector. Must be compatible with this <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> type.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>This variant is meant to be used for dynamic-size vector types. For fixed-size types, it is redundant to pass <em>size</em> as argument, so <a class="el" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">Ones()</a> should be used instead.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << 6 * <a class="code" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">RowVectorXi::Ones</a>(4) << endl;</div>
<div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">VectorXf::Ones</a>(2) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">6 6 6 6
1
1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">Ones()</a>, <a class="el" href="classEigen_1_1DenseBase.html#ad148f93a6a00e32ef00903c5393337ef">Ones(Index,Index)</a>, <a class="el" href="classEigen_1_1DenseBase.html#a34b4423fdfdf0c0644268095c55fe6ea">isOnes()</a>, class <a class="el" href="classEigen_1_1DenseBase.html#ad148f93a6a00e32ef00903c5393337ef">Ones</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::ConstantReturnType Ones </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a fixed-size matrix or vector where all coefficients equal one.</dd></dl>
<p>This variant is only for fixed-size <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> types. For dynamic-size types, you need to use the variants taking size arguments.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">Matrix2d::Ones</a>() << endl;</div>
<div class="line">cout << 6 * <a class="code" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">RowVector4i::Ones</a>() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">1 1
1 1
6 6 6 6
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#adec530c086d6b585ebb009fe4fbb77e6">Ones(Index)</a>, <a class="el" href="classEigen_1_1DenseBase.html#ad148f93a6a00e32ef00903c5393337ef">Ones(Index,Index)</a>, <a class="el" href="classEigen_1_1DenseBase.html#a34b4423fdfdf0c0644268095c55fe6ea">isOnes()</a>, class <a class="el" href="classEigen_1_1DenseBase.html#ad148f93a6a00e32ef00903c5393337ef">Ones</a> </dd></dl>
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<td class="memname">bool operator!= </td>
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<dl class="section return"><dt>Returns</dt><dd>true if at least one pair of coefficients of <code>*this</code> and <em>other</em> are not exactly equal to each other. </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>When using floating point scalar values you probably should rather use a fuzzy comparison such as <a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a> </dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a>, operator== </dd></dl>
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<td class="memname">const ScalarMultipleReturnType operator* </td>
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<td class="paramname"><em>scalar</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of <code>*this</code> scaled by the scalar factor <em>scalar</em> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > operator* </td>
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<p>Overloaded for efficient real matrix times complex scalar value </p>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a>< internal::scalar_sum_op <Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const OtherDerived> operator+ </td>
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<td class="paramname"><em>other</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the sum of <code>*this</code> and <em>other</em> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>If you want to add a given scalar to all coefficients, see Cwise::operator+().</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>class CwiseBinaryOp, <a class="el" href="classEigen_1_1MatrixBase.html#a7aaf408b3bfbdd38749b01979393e814">operator+=()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a>< internal::scalar_difference_op <Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > , const OtherDerived> operator- </td>
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<td class="paramname"><em>other</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the difference of <code>*this</code> and <em>other</em> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>If you want to substract a given scalar from all coefficients, see Cwise::operator-().</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>class CwiseBinaryOp, <a class="el" href="classEigen_1_1MatrixBase.html#a2da6ae5caa522c1efec3a75428b22143">operator-=()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><internal::scalar_opposite_op<typename internal::traits<<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > >::Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > operator- </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the opposite of <code>*this</code> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><internal::scalar_quotient1_op<typename internal::traits<<a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > >::Scalar>, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > operator/ </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of <code>*this</code> divided by the scalar value <em>scalar</em> </dd></dl>
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<td class="memname"><a class="el" href="structEigen_1_1CommaInitializer.html">CommaInitializer</a>< Derived > operator<< </td>
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<p><a class="anchor" id="MatrixBaseCommaInitRef"></a>Convenient operator to set the coefficients of a matrix.</p>
<p>The coefficients must be provided in a row major order and exactly match the size of the matrix. Otherwise an assertion is raised.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga4b6688615f30a9959be0285115080c3d">Matrix3i</a> m1;</div>
<div class="line">m1 << 1, 2, 3,</div>
<div class="line"> 4, 5, 6,</div>
<div class="line"> 7, 8, 9;</div>
<div class="line">cout << m1 << endl << endl;</div>
<div class="line"><a class="code" href="group__matrixtypedefs.html#ga4b6688615f30a9959be0285115080c3d">Matrix3i</a> m2 = <a class="code" href="classEigen_1_1MatrixBase.html#a0650b65c6ae6c3d19a138b72a6d68568">Matrix3i::Identity</a>();</div>
<div class="line">m2.block(0,0, 2,2) << 10, 11, 12, 13;</div>
<div class="line">cout << m2 << endl << endl;</div>
<div class="line"><a class="code" href="group__matrixtypedefs.html#gae4b211eebc55d300139b0e6e34a06cba">Vector2i</a> v1;</div>
<div class="line">v1 << 14, 15;</div>
<div class="line">m2 << v1.transpose(), 16,</div>
<div class="line"> v1, m1.block(1,1,2,2);</div>
<div class="line">cout << m2 << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">1 2 3
4 5 6
7 8 9
10 11 0
12 13 0
0 0 1
14 15 16
14 5 6
15 8 9
</pre><dl class="section note"><dt>Note</dt><dd>According the c++ standard, the argument expressions of this comma initializer are evaluated in arbitrary order.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="structEigen_1_1CommaInitializer.html#a1f065adc0c5e868f62cea827286f6d40">CommaInitializer::finished()</a>, class <a class="el" href="structEigen_1_1CommaInitializer.html" title="Helper class used by the comma initializer operator. ">CommaInitializer</a> </dd></dl>
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<td class="memname"><a class="el" href="structEigen_1_1CommaInitializer.html">CommaInitializer</a>< Derived > operator<< </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#ade5d2e09de50c2ca145037f295542b16">operator<<(const Scalar&)</a> </dd></dl>
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<td class="memname">bool operator== </td>
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<dl class="section return"><dt>Returns</dt><dd>true if each coefficients of <code>*this</code> and <em>other</em> are all exactly equal. </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>When using floating point scalar values you probably should rather use a fuzzy comparison such as <a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a> </dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox()</a>, operator!= </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> outerSize </td>
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<dl class="section return"><dt>Returns</dt><dd>true if either the number of rows or the number of columns is equal to 1. In other words, this function returns <div class="fragment"><div class="line">rows()==1 || cols()==1 </div>
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<dl class="section see"><dt>See Also</dt><dd>rows(), cols(), <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca7e22277c8f0a1a76dd0d6c62e366b59f">IsVectorAtCompileTime</a>. </dd></dl>
<dl class="section return"><dt>Returns</dt><dd>the outer size.</dd></dl>
<dl class="section note"><dt>Note</dt><dd>For a vector, this returns just 1. For a matrix (non-vector), this is the major dimension with respect to the <a class="el" href="group__TopicStorageOrders.html">storage order</a>, i.e., the number of columns for a column-major matrix, and the number of rows for a row-major matrix. </dd></dl>
<p>References <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca247b0f8b0eb0bfd5e253eb1e4b61436b">DenseBase< Derived >::IsRowMajor</a>, and <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca7e22277c8f0a1a76dd0d6c62e366b59f">DenseBase< Derived >::IsVectorAtCompileTime</a>.</p>
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<dl class="section return"><dt>Returns</dt><dd>the product of all coefficients of *this</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is the product of all the coefficients:"</span> << endl << m.prod() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
0.68 0.597 -0.33
-0.211 0.823 0.536
0.566 -0.605 -0.444
Here is the product of all the coefficients:
0.0019
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a3a3b3fb530d3364ecef0bf9c9daf0983">sum()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a0af2b3991862a079e3efaef3e4d17d96">mean()</a>, trace() </dd></dl>
<p>References <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a>.</p>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a>< internal::scalar_random_op< typename internal::traits< Derived >::Scalar >, Derived > Random </td>
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<td class="paramname"><em>rows</em>, </td>
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<td class="paramname"><em>cols</em> </td>
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<dl class="section return"><dt>Returns</dt><dd>a random matrix expression</dd></dl>
<p>The parameters <em>rows</em> and <em>cols</em> are the number of rows and of columns of the returned matrix. Must be compatible with this <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> type.</p>
<p>This variant is meant to be used for dynamic-size matrix types. For fixed-size types, it is redundant to pass <em>rows</em> and <em>cols</em> as arguments, so <a class="el" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Random()</a> should be used instead.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">MatrixXi::Random</a>(2,3) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 7 6 9
-2 6 -6
</pre><p>This expression has the "evaluate before nesting" flag so that it will be evaluated into a temporary matrix whenever it is nested in a larger expression. This prevents unexpected behavior with expressions involving random matrices.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#ab795c242db18862f502dfd9fa625c504">MatrixBase::setRandom()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a6f42aba8fbe2618deb0e80e4af876e04">MatrixBase::Random(Index)</a>, <a class="el" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">MatrixBase::Random()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a>< internal::scalar_random_op< typename internal::traits< Derived >::Scalar >, Derived > Random </td>
<td>(</td>
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<dl class="section return"><dt>Returns</dt><dd>a random vector expression</dd></dl>
<p>The parameter <em>size</em> is the size of the returned vector. Must be compatible with this <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> type.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>This variant is meant to be used for dynamic-size vector types. For fixed-size types, it is redundant to pass <em>size</em> as argument, so <a class="el" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Random()</a> should be used instead.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << VectorXi::Random(2) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">7
-2
</pre><p>This expression has the "evaluate before nesting" flag so that it will be evaluated into a temporary vector whenever it is nested in a larger expression. This prevents unexpected behavior with expressions involving random matrices.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#ab795c242db18862f502dfd9fa625c504">MatrixBase::setRandom()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a78061942c4ccb57f5b1dde173fdd8bd0">MatrixBase::Random(Index,Index)</a>, <a class="el" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">MatrixBase::Random()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseNullaryOp.html">CwiseNullaryOp</a>< internal::scalar_random_op< typename internal::traits< Derived >::Scalar >, Derived > Random </td>
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<dl class="section return"><dt>Returns</dt><dd>a fixed-size random matrix or vector expression</dd></dl>
<p>This variant is only for fixed-size <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> types. For dynamic-size types, you need to use the variants taking size arguments.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << 100 * <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix2i::Random</a>() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">700 600
-200 600
</pre><p>This expression has the "evaluate before nesting" flag so that it will be evaluated into a temporary matrix whenever it is nested in a larger expression. This prevents unexpected behavior with expressions involving random matrices.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#ab795c242db18862f502dfd9fa625c504">MatrixBase::setRandom()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a78061942c4ccb57f5b1dde173fdd8bd0">MatrixBase::Random(Index,Index)</a>, <a class="el" href="classEigen_1_1DenseBase.html#a6f42aba8fbe2618deb0e80e4af876e04">MatrixBase::Random(Index)</a> </dd></dl>
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<td class="memname">RealReturnType real </td>
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<dl class="section return"><dt>Returns</dt><dd>a read-only expression of the real part of <code>*this</code>.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#a1032121a2fc5fcc5f006f976413378f8">imag()</a> </dd></dl>
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<dl class="section return"><dt>Returns</dt><dd>a non const expression of the real part of <code>*this</code>.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#a1032121a2fc5fcc5f006f976413378f8">imag()</a> </dd></dl>
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<td class="memname">internal::result_of<Func(typename internal::traits<Derived>::Scalar)>::type redux </td>
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<td class="paramname"><em>func</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>the result of a full redux operation on the whole matrix or vector using <em>func</em> </dd></dl>
<p>The template parameter <em>BinaryOp</em> is the type of the functor <em>func</em> which must be an associative operator. Both current STL and TR1 functor styles are handled.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a3a3b3fb530d3364ecef0bf9c9daf0983">DenseBase::sum()</a>, <a class="el" href="classEigen_1_1DenseBase.html#add6cb2d85282829eb9adc9565ce784d6">DenseBase::minCoeff()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a878f0dae18b28d8158c5f1c232edced2">DenseBase::maxCoeff()</a>, <a class="el" href="classEigen_1_1DenseBase.html#abe7ae69362c464b6721adbb47c655874">MatrixBase::colwise()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a8a7fd1e8004d4bd93a7ea36957aa8e99">MatrixBase::rowwise()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Replicate.html">Replicate</a>< Derived, RowFactor, ColFactor > replicate </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the replication of <code>*this</code> </dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga5b9d0d11e78fd355d23221154b7620e4">MatrixXi</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">MatrixXi::Random</a>(2,3);</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"m.replicate<3,2>() = ..."</span> << endl;</div>
<div class="line">cout << m.replicate<3,2>() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 6 9
-2 6 -6
m.replicate<3,2>() = ...
7 6 9 7 6 9
-2 6 -6 -2 6 -6
7 6 9 7 6 9
-2 6 -6 -2 6 -6
7 6 9 7 6 9
-2 6 -6 -2 6 -6
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1VectorwiseOp.html#a9a078997c488c2d83fbd45108af26e1d">VectorwiseOp::replicate()</a>, DenseBase::replicate(Index,Index), class <a class="el" href="classEigen_1_1Replicate.html" title="Expression of the multiple replication of a matrix or vector. ">Replicate</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Replicate.html">Replicate</a>< Derived, <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>, <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> > replicate </td>
<td>(</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the replication of <code>*this</code> </dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#gaa4931fe5bb599038466be823fdfadd04">Vector3i</a> v = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Vector3i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the vector v:"</span> << endl << v << endl;</div>
<div class="line">cout << <span class="stringliteral">"v.replicate(2,5) = ..."</span> << endl;</div>
<div class="line">cout << v.replicate(2,5) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the vector v:
7
-2
6
v.replicate(2,5) = ...
7 7 7 7 7
-2 -2 -2 -2 -2
6 6 6 6 6
7 7 7 7 7
-2 -2 -2 -2 -2
6 6 6 6 6
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1VectorwiseOp.html#a9a078997c488c2d83fbd45108af26e1d">VectorwiseOp::replicate()</a>, <a class="el" href="classEigen_1_1DenseBase.html#afca0e8ff7921ee0e3ab4422818ecb214">DenseBase::replicate<int,int>()</a>, class <a class="el" href="classEigen_1_1Replicate.html" title="Expression of the multiple replication of a matrix or vector. ">Replicate</a> </dd></dl>
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<td class="memname">void resize </td>
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<p>Only plain matrices/arrays, not expressions, may be resized; therefore the only useful resize methods are <a class="el" href="classEigen_1_1PlainObjectBase.html#afbbb33d14fe7fb9683019a39ce1c659d">Matrix::resize()</a> and <a class="el" href="classEigen_1_1PlainObjectBase.html#afbbb33d14fe7fb9683019a39ce1c659d">Array::resize()</a>. The present method only asserts that the new size equals the old size, and does nothing else. </p>
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<p>Only plain matrices/arrays, not expressions, may be resized; therefore the only useful resize methods are <a class="el" href="classEigen_1_1PlainObjectBase.html#afbbb33d14fe7fb9683019a39ce1c659d">Matrix::resize()</a> and <a class="el" href="classEigen_1_1PlainObjectBase.html#afbbb33d14fe7fb9683019a39ce1c659d">Array::resize()</a>. The present method only asserts that the new size equals the old size, and does nothing else. </p>
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<td class="memname"><a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::<a class="el" href="classEigen_1_1Reverse.html">ReverseReturnType</a> reverse </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the reverse of *this.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga5b9d0d11e78fd355d23221154b7620e4">MatrixXi</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">MatrixXi::Random</a>(3,4);</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is the reverse of m:"</span> << endl << m.reverse() << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is the coefficient (1,0) in the reverse of m:"</span> << endl</div>
<div class="line"> << m.reverse()(1,0) << endl;</div>
<div class="line">cout << <span class="stringliteral">"Let us overwrite this coefficient with the value 4."</span> << endl;</div>
<div class="line">m.reverse()(1,0) = 4;</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 6 -3 1
-2 9 6 0
6 -6 -5 3
Here is the reverse of m:
3 -5 -6 6
0 6 9 -2
1 -3 6 7
Here is the coefficient (1,0) in the reverse of m:
0
Let us overwrite this coefficient with the value 4.
Now the matrix m is:
7 6 -3 1
-2 9 6 4
6 -6 -5 3
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::<a class="el" href="classEigen_1_1Reverse.html">ConstReverseReturnType</a> reverse </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a6e354bb81f0c7b6888c6a0ce4b4649e2">reverse()</a>. </p>
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<td class="memname">void reverseInPlace </td>
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<p>This is the "in place" version of reverse: it reverses <code>*this</code>.</p>
<p>In most cases it is probably better to simply use the reversed expression of a matrix. However, when reversing the matrix data itself is really needed, then this "in-place" version is probably the right choice because it provides the following additional features:</p>
<ul>
<li>less error prone: doing the same operation with .<a class="el" href="classEigen_1_1DenseBase.html#a6e354bb81f0c7b6888c6a0ce4b4649e2">reverse()</a> requires special care: <div class="fragment"><div class="line">m = m.reverse().eval(); </div>
</div><!-- fragment --></li>
<li>this API allows to avoid creating a temporary (the current implementation creates a temporary, but that could be avoided using swap)</li>
<li>it allows future optimizations (cache friendliness, etc.)</li>
</ul>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a6e354bb81f0c7b6888c6a0ce4b4649e2">reverse()</a> </dd></dl>
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<td class="memname">ColsBlockXpr rightCols </td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of the right columns of *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>the number of columns in the block</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line">Array44i a = Array44i::Random();</div>
<div class="line">cout << <span class="stringliteral">"Here is the array a:"</span> << endl << a << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is a.rightCols(2):"</span> << endl;</div>
<div class="line">cout << a.rightCols(2) << endl;</div>
<div class="line">a.rightCols(2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the array a is:"</span> << endl << a << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the array a:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is a.rightCols(2):
-5 -3
1 0
0 9
3 9
Now the array a is:
7 9 0 0
-2 -6 0 0
6 -3 0 0
6 6 0 0
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">ConstColsBlockXpr rightCols </td>
<td>(</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#af80f9e4e3708d7e3b0e1487ca90cf339">rightCols(Index)</a>. </p>
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<td class="memname">NColsBlockXpr<N>::Type rightCols </td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of the right columns of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">N</td><td>the number of columns in the block</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line">Array44i a = Array44i::Random();</div>
<div class="line">cout << <span class="stringliteral">"Here is the array a:"</span> << endl << a << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is a.rightCols<2>():"</span> << endl;</div>
<div class="line">cout << a.rightCols<2>() << endl;</div>
<div class="line">a.rightCols<2>().<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the array a is:"</span> << endl << a << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the array a:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is a.rightCols<2>():
-5 -3
1 0
0 9
3 9
Now the array a is:
7 9 0 0
-2 -6 0 0
6 -3 0 0
6 6 0 0
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">ConstNColsBlockXpr<N>::Type rightCols </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#af9afaaa2c2c27716dccdc58c50449103">rightCols<int>()</a>. </p>
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<td class="memname">RowXpr row </td>
<td>(</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the <em>i-th</em> row of *this. Note that the numbering starts at 0.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1MatrixBase.html#a0650b65c6ae6c3d19a138b72a6d68568">Matrix3d::Identity</a>();</div>
<div class="line">m.row(1) = <a class="code" href="group__matrixtypedefs.html#ga2006332f6989f501762673e21f5128f5">Vector3d</a>(4,5,6);</div>
<div class="line">cout << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">1 0 0
4 5 6
0 0 1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a58c77695de3b33405f01f2fdf3dc389d">col()</a>, class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a> </dd></dl>
<p>Referenced by <a class="el" href="classEigen_1_1VectorwiseOp.html#a93a7a9d23fc28219f5dd82f3f90222ca">VectorwiseOp< ExpressionType, Direction >::cross()</a>, and <a class="el" href="classEigen_1_1Transform.html#a2f4920998698b8aadde6f71151ece99c">Transform< Scalar, Dim, Mode, _Options >::pretranslate()</a>.</p>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#aa8716d44f51321072ee5c88665c28813">row()</a>. </p>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::<a class="el" href="classEigen_1_1VectorwiseOp.html">ConstRowwiseReturnType</a> rowwise </td>
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<dl class="section return"><dt>Returns</dt><dd>a <a class="el" href="classEigen_1_1VectorwiseOp.html" title="Pseudo expression providing partial reduction operations. ">VectorwiseOp</a> wrapper of *this providing additional partial reduction operations</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is the sum of each row:"</span> << endl << m.rowwise().sum() << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is the maximum absolute value of each row:"</span></div>
<div class="line"> << endl << m.cwiseAbs().rowwise().maxCoeff() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
0.68 0.597 -0.33
-0.211 0.823 0.536
0.566 -0.605 -0.444
Here is the sum of each row:
0.948
1.15
-0.483
Here is the maximum absolute value of each row:
0.68
0.823
0.605
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#abe7ae69362c464b6721adbb47c655874">colwise()</a>, class <a class="el" href="classEigen_1_1VectorwiseOp.html" title="Pseudo expression providing partial reduction operations. ">VectorwiseOp</a>, <a class="el" href="group__TutorialReductionsVisitorsBroadcasting.html">Reductions, visitors and broadcasting</a> </dd></dl>
<p>Referenced by <a class="el" href="group__Geometry__Module.html#gab3f5a82a24490b936f8694cf8fef8e60">Eigen::umeyama()</a>.</p>
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<td class="memname"><a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::<a class="el" href="classEigen_1_1VectorwiseOp.html">RowwiseReturnType</a> rowwise </td>
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<dl class="section return"><dt>Returns</dt><dd>a writable <a class="el" href="classEigen_1_1VectorwiseOp.html" title="Pseudo expression providing partial reduction operations. ">VectorwiseOp</a> wrapper of *this providing additional partial reduction operations</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#abe7ae69362c464b6721adbb47c655874">colwise()</a>, class <a class="el" href="classEigen_1_1VectorwiseOp.html" title="Pseudo expression providing partial reduction operations. ">VectorwiseOp</a>, <a class="el" href="group__TutorialReductionsVisitorsBroadcasting.html">Reductions, visitors and broadcasting</a> </dd></dl>
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<td class="memname">SegmentReturnType segment </td>
<td>(</td>
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<td class="paramname"><em>vecSize</em> </td>
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<dl class="section return"><dt>Returns</dt><dd>a dynamic-size expression of a segment (i.e. a vector block) in *this.</dd></dl>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">start</td><td>the first coefficient in the segment </td></tr>
<tr><td class="paramname">vecSize</td><td>the number of coefficients in the segment</td></tr>
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</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga1b8ec6f0766c4900ed6f84f30c36669a">RowVector4i</a> v = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">RowVector4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the vector v:"</span> << endl << v << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is v.segment(1, 2):"</span> << endl << v.segment(1, 2) << endl;</div>
<div class="line">v.segment(1, 2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the vector v is:"</span> << endl << v << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the vector v:
7 -2 6 6
Here is v.segment(1, 2):
-2 6
Now the vector v is:
7 0 0 6
</pre><dl class="section note"><dt>Note</dt><dd>Even though the returned expression has dynamic size, in the case when it is applied to a fixed-size vector, it inherits a fixed maximal size, which means that evaluating it does not cause a dynamic memory allocation.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a712d8a3514a4454cecba9fc0910588e2">segment(Index)</a> </dd></dl>
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<td class="memname">ConstSegmentReturnType segment </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a3a182e8a52e9c6761ded3813f751ab03">segment(Index,Index)</a>. </p>
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<dl class="section return"><dt>Returns</dt><dd>a fixed-size expression of a segment (i.e. a vector block) in <code>*this</code> </dd></dl>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>The template parameter <em>Size</em> is the number of coefficients in the block</p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">start</td><td>the index of the first element of the sub-vector</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga1b8ec6f0766c4900ed6f84f30c36669a">RowVector4i</a> v = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">RowVector4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the vector v:"</span> << endl << v << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is v.segment<2>(1):"</span> << endl << v.segment<2>(1) << endl;</div>
<div class="line">v.segment<2>(2).<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the vector v is:"</span> << endl << v << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the vector v:
7 -2 6 6
Here is v.segment<2>(1):
-2 6
Now the vector v is:
7 -2 0 0
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a> </dd></dl>
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<td class="memname">ConstFixedSegmentReturnType<Size>::Type segment </td>
<td>(</td>
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<td class="paramname"><em>start</em></td><td>)</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a712d8a3514a4454cecba9fc0910588e2">segment<int>(Index)</a>. </p>
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<td class="memname">const <a class="el" href="classEigen_1_1Select.html">Select</a>< Derived, ThenDerived, ElseDerived > select </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< ThenDerived > & </td>
<td class="paramname"><em>thenMatrix</em>, </td>
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<td class="paramname"><em>elseMatrix</em> </td>
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<dl class="section return"><dt>Returns</dt><dd>a matrix where each coefficient (i,j) is equal to <em>thenMatrix(i,j)</em> if <code>*this</code>(i,j), and <em>elseMatrix(i,j)</em> otherwise.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga5b9d0d11e78fd355d23221154b7620e4">MatrixXi</a> m(3, 3);</div>
<div class="line">m << 1, 2, 3,</div>
<div class="line"> 4, 5, 6,</div>
<div class="line"> 7, 8, 9;</div>
<div class="line">m = (m.array() >= 5).<a class="code" href="classEigen_1_1DenseBase.html#aaaed9ab0c7a20c689017542e40d1ef6e">select</a>(-m, m);</div>
<div class="line">cout << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 1 2 3
4 -5 -6
-7 -8 -9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Select.html" title="Expression of a coefficient wise version of the C++ ternary operator ?: ">Select</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Select.html">Select</a>< Derived, ThenDerived, typename ThenDerived::ConstantReturnType > select </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< ThenDerived > & </td>
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<p>Version of DenseBase::select(const DenseBase&, const DenseBase&) with the <em>else</em> expression being a scalar value.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aaaed9ab0c7a20c689017542e40d1ef6e">DenseBase::select(const DenseBase<ThenDerived>&, const DenseBase<ElseDerived>&) const</a>, class <a class="el" href="classEigen_1_1Select.html" title="Expression of a coefficient wise version of the C++ ternary operator ?: ">Select</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Select.html">Select</a>< Derived, typename ElseDerived::ConstantReturnType, ElseDerived > select </td>
<td>(</td>
<td class="paramtype">const typename ElseDerived::Scalar & </td>
<td class="paramname"><em>thenScalar</em>, </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< ElseDerived > & </td>
<td class="paramname"><em>elseMatrix</em> </td>
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<p>Version of DenseBase::select(const DenseBase&, const DenseBase&) with the <em>then</em> expression being a scalar value.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aaaed9ab0c7a20c689017542e40d1ef6e">DenseBase::select(const DenseBase<ThenDerived>&, const DenseBase<ElseDerived>&) const</a>, class <a class="el" href="classEigen_1_1Select.html" title="Expression of a coefficient wise version of the C++ ternary operator ?: ">Select</a> </dd></dl>
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<td class="memname">Derived & setConstant </td>
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<p>Sets all coefficients in this expression to <em>value</em>.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a98692bec8f3d859f1e7a60eab87ac571">fill()</a>, setConstant(Index,const Scalar&), setConstant(Index,Index,const Scalar&), <a class="el" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a196e62ee8a1fc3b4af631e955d650cfc">setOnes()</a>, <a class="el" href="classEigen_1_1DenseBase.html#abb7652b9ae2c6ee26be9db276613c4f6">Constant()</a>, class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a>, <a class="el" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a196e62ee8a1fc3b4af631e955d650cfc">setOnes()</a> </dd></dl>
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<td class="memname">Derived & setLinSpaced </td>
<td>(</td>
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<td class="paramname"><em>newSize</em>, </td>
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<td class="paramname"><em>low</em>, </td>
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<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>high</em> </td>
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<p>Sets a linearly space vector. </p>
<p>The function generates 'size' equally spaced values in the closed interval [low,high]. When size is set to 1, a vector of length 1 containing 'high' is returned.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>Example: </p>
<div class="fragment"><div class="line">VectorXf v;</div>
<div class="line">v.setLinSpaced(5,0.5f,1.5f);</div>
<div class="line">cout << v << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">0.5
0.75
1
1.25
1.5
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
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<p>Sets a linearly space vector. </p>
<p>The function fill *this with equally spaced values in the closed interval [low,high]. When size is set to 1, a vector of length 1 containing 'high' is returned.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aca96b3050ceeffaa781d3d4ee185bd1d" title="Sets a linearly space vector. ">setLinSpaced(Index, const Scalar&, const Scalar&)</a>, <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a> </dd></dl>
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<p>Sets all coefficients in this expression to one.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">m.row(1).setOnes();</div>
<div class="line">cout << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 7 9 -5 -3
1 1 1 1
6 -3 0 9
6 6 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a>, <a class="el" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">Ones()</a> </dd></dl>
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<p>Sets all coefficients in this expression to random values.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Matrix4i::Zero</a>();</div>
<div class="line">m.col(1).setRandom();</div>
<div class="line">cout << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 0 7 0 0
0 -2 0 0
0 6 0 0
0 6 0 0
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a>, setRandom(Index), setRandom(Index,Index) </dd></dl>
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<p>Sets all coefficients in this expression to zero.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">m.row(1).setZero();</div>
<div class="line">cout << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 7 9 -5 -3
0 0 0 0
6 -3 0 9
6 6 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1CwiseNullaryOp.html" title="Generic expression of a matrix where all coefficients are defined by a functor. ">CwiseNullaryOp</a>, <a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero()</a> </dd></dl>
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<td class="memname">internal::traits< Derived >::Scalar sum </td>
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<dl class="section return"><dt>Returns</dt><dd>the sum of all coefficients of *this</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>trace(), <a class="el" href="classEigen_1_1DenseBase.html#a6bdcbfa7e3b07d3246ad80de7170b0f5">prod()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a0af2b3991862a079e3efaef3e4d17d96">mean()</a> </dd></dl>
<p>References <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a>.</p>
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<td class="memname">void swap </td>
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<p>swaps *this with the expression <em>other</em>. </p>
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<td class="memname">void swap </td>
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<p>swaps *this with the matrix or array <em>other</em>. </p>
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<td class="memname">SegmentReturnType tail </td>
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<dl class="section return"><dt>Returns</dt><dd>a dynamic-size expression of the last coefficients of *this.</dd></dl>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">vecSize</td><td>the number of coefficients in the block</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga1b8ec6f0766c4900ed6f84f30c36669a">RowVector4i</a> v = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">RowVector4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the vector v:"</span> << endl << v << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is v.tail(2):"</span> << endl << v.tail(2) << endl;</div>
<div class="line">v.tail(2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the vector v is:"</span> << endl << v << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the vector v:
7 -2 6 6
Here is v.tail(2):
6 6
Now the vector v is:
7 -2 0 0
</pre><dl class="section note"><dt>Note</dt><dd>Even though the returned expression has dynamic size, in the case when it is applied to a fixed-size vector, it inherits a fixed maximal size, which means that evaluating it does not cause a dynamic memory allocation.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a3e433315822db2811a65e88c70672743">block(Index,Index)</a> </dd></dl>
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<td class="memname">ConstSegmentReturnType tail </td>
<td>(</td>
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<td class="paramname"><em>vecSize</em></td><td>)</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a806cbb7e3c7357c2c5fbb1a7db4af16d">tail(Index)</a>. </p>
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<td class="memname">FixedSegmentReturnType<Size>::Type tail </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>a fixed-size expression of the last coefficients of *this.</dd></dl>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>The template parameter <em>Size</em> is the number of coefficients in the block</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga1b8ec6f0766c4900ed6f84f30c36669a">RowVector4i</a> v = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">RowVector4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the vector v:"</span> << endl << v << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is v.tail(2):"</span> << endl << v.tail<2>() << endl;</div>
<div class="line">v.tail<2>().<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the vector v is:"</span> << endl << v << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the vector v:
7 -2 6 6
Here is v.tail(2):
6 6
Now the vector v is:
7 -2 0 0
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a> </dd></dl>
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<td class="memname">ConstFixedSegmentReturnType<Size>::Type tail </td>
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<p>This is the const version of tail<int>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived> topLeftCorner </td>
<td>(</td>
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<td class="paramname"><em>cRows</em>, </td>
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<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cCols</em> </td>
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<dl class="section return"><dt>Returns</dt><dd>a dynamic-size expression of a top-left corner of *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">cRows</td><td>the number of rows in the corner </td></tr>
<tr><td class="paramname">cCols</td><td>the number of columns in the corner</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.topLeftCorner(2, 2):"</span> << endl;</div>
<div class="line">cout << m.topLeftCorner(2, 2) << endl;</div>
<div class="line">m.topLeftCorner(2, 2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.topLeftCorner(2, 2):
7 9
-2 -6
Now the matrix m is:
0 0 -5 -3
0 0 1 0
6 -3 0 9
6 6 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived> topLeftCorner </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
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<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cCols</em> </td>
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<td>)</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a6f5fc5fe9d3fb70e62d4a9b1795704a8">topLeftCorner(Index, Index)</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived, CRows, CCols> topLeftCorner </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a fixed-size top-left corner of *this.</dd></dl>
<p>The template parameters CRows and CCols are the number of rows and columns in the corner.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.topLeftCorner<2,2>():"</span> << endl;</div>
<div class="line">cout << m.topLeftCorner<2,2>() << endl;</div>
<div class="line">m.topLeftCorner<2,2>().<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.topLeftCorner<2,2>():
7 9
-2 -6
Now the matrix m is:
0 0 -5 -3
0 0 1 0
6 -3 0 9
6 6 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived, CRows, CCols> topLeftCorner </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#ae06d0a5c4008014fb717866aec8d30c7">topLeftCorner<int, int>()</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived, CRows, CCols> topLeftCorner </td>
<td>(</td>
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<td class="paramname"><em>cCols</em> </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a top-left corner of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">CRows</td><td>number of rows in corner as specified at compile time </td></tr>
<tr><td class="paramname">CCols</td><td>number of columns in corner as specified at compile time </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">cRows</td><td>number of rows in corner as specified at run time </td></tr>
<tr><td class="paramname">cCols</td><td>number of columns in corner as specified at run time</td></tr>
</table>
</dd>
</dl>
<p>This function is mainly useful for corners where the number of rows is specified at compile time and the number of columns is specified at run time, or vice versa. The compile-time and run-time information should not contradict. In other words, <em>cRows</em> should equal <em>CRows</em> unless <em>CRows</em> is <em>Dynamic</em>, and the same for the number of columns.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.topLeftCorner<2,Dynamic>(2,2):"</span> << endl;</div>
<div class="line">cout << m.topLeftCorner<2,<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>>(2,2) << endl;</div>
<div class="line">m.topLeftCorner<2,<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>>(2,2).<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.topLeftCorner<2,Dynamic>(2,2):
7 9
-2 -6
Now the matrix m is:
0 0 -5 -3
0 0 1 0
6 -3 0 9
6 6 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a> </dd></dl>
<p>References <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca247b0f8b0eb0bfd5e253eb1e4b61436b">DenseBase< Derived >::IsRowMajor</a>, and <a class="el" href="classEigen_1_1DenseBase.html#a1be3860693af99a6c1da72580097294ca7e22277c8f0a1a76dd0d6c62e366b59f">DenseBase< Derived >::IsVectorAtCompileTime</a>.</p>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived, CRows, CCols> topLeftCorner </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
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<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
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<td>)</td>
<td></td><td> const</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a6f5fc5fe9d3fb70e62d4a9b1795704a8">topLeftCorner<int, int>(Index, Index)</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived> topRightCorner </td>
<td>(</td>
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<td class="paramname"><em>cRows</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cCols</em> </td>
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<td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>a dynamic-size expression of a top-right corner of *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">cRows</td><td>the number of rows in the corner </td></tr>
<tr><td class="paramname">cCols</td><td>the number of columns in the corner</td></tr>
</table>
</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.topRightCorner(2, 2):"</span> << endl;</div>
<div class="line">cout << m.topRightCorner(2, 2) << endl;</div>
<div class="line">m.topRightCorner(2, 2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.topRightCorner(2, 2):
-5 -3
1 0
Now the matrix m is:
7 9 0 0
-2 -6 0 0
6 -3 0 9
6 6 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived> topRightCorner </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cRows</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>cCols</em> </td>
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<td></td>
<td>)</td>
<td></td><td> const</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a318006038c9becc5f9af003b7c77ea18">topRightCorner(Index, Index)</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Block.html">Block</a><Derived, CRows, CCols> topRightCorner </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a fixed-size top-right corner of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">CRows</td><td>the number of rows in the corner </td></tr>
<tr><td class="paramname">CCols</td><td>the number of columns in the corner</td></tr>
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<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.topRightCorner<2,2>():"</span> << endl;</div>
<div class="line">cout << m.topRightCorner<2,2>() << endl;</div>
<div class="line">m.topRightCorner<2,2>().<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.topRightCorner<2,2>():
-5 -3
1 0
Now the matrix m is:
7 9 0 0
-2 -6 0 0
6 -3 0 9
6 6 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a3e433315822db2811a65e88c70672743">block<int,int>(Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived, CRows, CCols> topRightCorner </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#ad0088b2c1ec4dbd677dd19f589777945">topRightCorner<int, int>()</a>. </p>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a top-right corner of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">CRows</td><td>number of rows in corner as specified at compile time </td></tr>
<tr><td class="paramname">CCols</td><td>number of columns in corner as specified at compile time </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">cRows</td><td>number of rows in corner as specified at run time </td></tr>
<tr><td class="paramname">cCols</td><td>number of columns in corner as specified at run time</td></tr>
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<p>This function is mainly useful for corners where the number of rows is specified at compile time and the number of columns is specified at run time, or vice versa. The compile-time and run-time information should not contradict. In other words, <em>cRows</em> should equal <em>CRows</em> unless <em>CRows</em> is <em>Dynamic</em>, and the same for the number of columns.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232">Matrix4i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix4i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is m.topRightCorner<2,Dynamic>(2,2):"</span> << endl;</div>
<div class="line">cout << m.topRightCorner<2,<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>>(2,2) << endl;</div>
<div class="line">m.topRightCorner<2,<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>>(2,2).<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is m.topRightCorner<2,Dynamic>(2,2):
-5 -3
1 0
Now the matrix m is:
7 9 0 0
-2 -6 0 0
6 -3 0 9
6 6 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1Block.html">Block</a><const Derived, CRows, CCols> topRightCorner </td>
<td>(</td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a318006038c9becc5f9af003b7c77ea18">topRightCorner<int, int>(Index, Index)</a>. </p>
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<td class="memname">RowsBlockXpr topRows </td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of the top rows of *this.</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">n</td><td>the number of rows in the block</td></tr>
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</dd>
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<p>Example: </p>
<div class="fragment"><div class="line">Array44i a = Array44i::Random();</div>
<div class="line">cout << <span class="stringliteral">"Here is the array a:"</span> << endl << a << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is a.topRows(2):"</span> << endl;</div>
<div class="line">cout << a.topRows(2) << endl;</div>
<div class="line">a.topRows(2).setZero();</div>
<div class="line">cout << <span class="stringliteral">"Now the array a is:"</span> << endl << a << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the array a:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is a.topRows(2):
7 9 -5 -3
-2 -6 1 0
Now the array a is:
0 0 0 0
0 0 0 0
6 -3 0 9
6 6 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<td class="memname">ConstRowsBlockXpr topRows </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#afdfced3e157f74b3bc68892aad178424">topRows(Index)</a>. </p>
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<td class="memname">NRowsBlockXpr<N>::Type topRows </td>
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<dl class="section return"><dt>Returns</dt><dd>a block consisting of the top rows of *this.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">N</td><td>the number of rows in the block</td></tr>
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</dd>
</dl>
<p>Example: </p>
<div class="fragment"><div class="line">Array44i a = Array44i::Random();</div>
<div class="line">cout << <span class="stringliteral">"Here is the array a:"</span> << endl << a << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is a.topRows<2>():"</span> << endl;</div>
<div class="line">cout << a.topRows<2>() << endl;</div>
<div class="line">a.topRows<2>().<a class="code" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">setZero</a>();</div>
<div class="line">cout << <span class="stringliteral">"Now the array a is:"</span> << endl << a << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the array a:
7 9 -5 -3
-2 -6 1 0
6 -3 0 9
6 6 3 9
Here is a.topRows<2>():
7 9 -5 -3
-2 -6 1 0
Now the array a is:
0 0 0 0
0 0 0 0
6 -3 0 9
6 6 3 9
</pre><dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1Block.html" title="Expression of a fixed-size or dynamic-size block. ">Block</a>, <a class="el" href="classEigen_1_1DenseBase.html#a1dbaa2fc7b809720407130f48dfacf8f">block(Index,Index,Index,Index)</a> </dd></dl>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a77933058fb3cd3319a86dd0ac4c88d38">topRows<int>()</a>. </p>
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<td class="memname"><a class="el" href="classEigen_1_1Transpose.html">Transpose</a>< Derived > transpose </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the transpose of *this.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#gab837976997f1fdef130c5f47f712b9b0">Matrix2i</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix2i::Random</a>();</div>
<div class="line">cout << <span class="stringliteral">"Here is the matrix m:"</span> << endl << m << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is the transpose of m:"</span> << endl << m.transpose() << endl;</div>
<div class="line">cout << <span class="stringliteral">"Here is the coefficient (1,0) in the transpose of m:"</span> << endl</div>
<div class="line"> << m.transpose()(1,0) << endl;</div>
<div class="line">cout << <span class="stringliteral">"Let us overwrite this coefficient with the value 0."</span> << endl;</div>
<div class="line">m.transpose()(1,0) = 0;</div>
<div class="line">cout << <span class="stringliteral">"Now the matrix m is:"</span> << endl << m << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
7 6
-2 6
Here is the transpose of m:
7 -2
6 6
Here is the coefficient (1,0) in the transpose of m:
6
Let us overwrite this coefficient with the value 0.
Now the matrix m is:
7 0
-2 6
</pre><dl class="section warning"><dt>Warning</dt><dd>If you want to replace a matrix by its own transpose, do <b>NOT</b> do this: <div class="fragment"><div class="line">* m = m.transpose(); <span class="comment">// bug!!! caused by aliasing effect</span></div>
<div class="line">* </div>
</div><!-- fragment --> Instead, use the <a class="el" href="classEigen_1_1DenseBase.html#a3689faf485a5e405a4fc9bf0e05564c9">transposeInPlace()</a> method: <div class="fragment"><div class="line">* m.transposeInPlace();</div>
<div class="line">* </div>
</div><!-- fragment --> which gives <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> good opportunities for optimization, or alternatively you can also do: <div class="fragment"><div class="line">* m = m.transpose().eval();</div>
<div class="line">* </div>
</div><!-- fragment --></dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a3689faf485a5e405a4fc9bf0e05564c9">transposeInPlace()</a>, adjoint() </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::<a class="el" href="classEigen_1_1Transpose.html">ConstTransposeReturnType</a> transpose </td>
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<p>This is the const version of <a class="el" href="classEigen_1_1DenseBase.html#a3c187c30922fc5e42f208ae3eb0970ee">transpose()</a>.</p>
<p>Make sure you read the warning for <a class="el" href="classEigen_1_1DenseBase.html#a3c187c30922fc5e42f208ae3eb0970ee">transpose()</a> !</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a3689faf485a5e405a4fc9bf0e05564c9">transposeInPlace()</a>, adjoint() </dd></dl>
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<p>This is the "in place" version of <a class="el" href="classEigen_1_1DenseBase.html#a3c187c30922fc5e42f208ae3eb0970ee">transpose()</a>: it replaces <code>*this</code> by its own transpose. Thus, doing </p>
<div class="fragment"><div class="line">* m.transposeInPlace();</div>
<div class="line">* </div>
</div><!-- fragment --><p> has the same effect on m as doing </p>
<div class="fragment"><div class="line">* m = m.transpose().eval();</div>
<div class="line">* </div>
</div><!-- fragment --><p> and is faster and also safer because in the latter line of code, forgetting the <a class="el" href="classEigen_1_1DenseBase.html#a6cb26f170dd440dfafe11117cf826334">eval()</a> results in a bug caused by <a class="el" href="group__TopicAliasing.html">aliasing</a>.</p>
<p>Notice however that this method is only useful if you want to replace a matrix by its own transpose. If you just need the transpose of a matrix, use <a class="el" href="classEigen_1_1DenseBase.html#a3c187c30922fc5e42f208ae3eb0970ee">transpose()</a>.</p>
<dl class="section note"><dt>Note</dt><dd>if the matrix is not square, then <code>*this</code> must be a resizable matrix.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a3c187c30922fc5e42f208ae3eb0970ee">transpose()</a>, adjoint(), adjointInPlace() </dd></dl>
<p>References <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a>.</p>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseUnaryOp.html">CwiseUnaryOp</a><CustomUnaryOp, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > unaryExpr </td>
<td>(</td>
<td class="paramtype">const CustomUnaryOp & </td>
<td class="paramname"><em>func</em> = <code>CustomUnaryOp()</code></td><td>)</td>
<td> const</td>
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<p>Apply a unary operator coefficient-wise. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">func</td><td>Functor implementing the unary operator </td></tr>
</table>
</dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">CustomUnaryOp</td><td>Type of <em>func</em> </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>An expression of a custom coefficient-wise unary operator <em>func</em> of *this</dd></dl>
<p>The function <code>ptr_fun()</code> from the C++ standard library can be used to make functors out of normal functions.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Core></span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"><span class="keyword">using namespace </span>Eigen;</div>
<div class="line"><span class="keyword">using namespace </span>std;</div>
<div class="line"></div>
<div class="line"><span class="comment">// define function to be applied coefficient-wise</span></div>
<div class="line"><span class="keywordtype">double</span> ramp(<span class="keywordtype">double</span> x)</div>
<div class="line">{</div>
<div class="line"> <span class="keywordflow">if</span> (x > 0)</div>
<div class="line"> <span class="keywordflow">return</span> x;</div>
<div class="line"> <span class="keywordflow">else</span> </div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> main(<span class="keywordtype">int</span>, <span class="keywordtype">char</span>**)</div>
<div class="line">{</div>
<div class="line"> <a class="code" href="classEigen_1_1Matrix.html">Matrix4d</a> m1 = Matrix4d::Random();</div>
<div class="line"> cout << m1 << endl << <span class="stringliteral">"becomes: "</span> << endl << m1.<a class="code" href="classEigen_1_1MatrixBase.html#a23fc4bf97168dee2516f85edcfd4cfe7">unaryExpr</a>(ptr_fun(ramp)) << endl;</div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 0.68 0.823 -0.444 -0.27
-0.211 -0.605 0.108 0.0268
0.566 -0.33 -0.0452 0.904
0.597 0.536 0.258 0.832
becomes:
0.68 0.823 0 0
0 0 0.108 0.0268
0.566 0 0 0.904
0.597 0.536 0.258 0.832
</pre><p>Genuine functors allow for more possibilities, for instance it may contain a state.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Core></span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"><span class="keyword">using namespace </span>Eigen;</div>
<div class="line"><span class="keyword">using namespace </span>std;</div>
<div class="line"></div>
<div class="line"><span class="comment">// define a custom template unary functor</span></div>
<div class="line"><span class="keyword">template</span><<span class="keyword">typename</span> Scalar></div>
<div class="line"><span class="keyword">struct </span>CwiseClampOp {</div>
<div class="line"> CwiseClampOp(<span class="keyword">const</span> Scalar& inf, <span class="keyword">const</span> Scalar& sup) : m_inf(inf), m_sup(sup) {}</div>
<div class="line"> <span class="keyword">const</span> Scalar operator()(<span class="keyword">const</span> Scalar& x)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> x<m_inf ? m_inf : (x>m_sup ? m_sup : x); }</div>
<div class="line"> Scalar m_inf, m_sup;</div>
<div class="line">};</div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> main(<span class="keywordtype">int</span>, <span class="keywordtype">char</span>**)</div>
<div class="line">{</div>
<div class="line"> <a class="code" href="classEigen_1_1Matrix.html">Matrix4d</a> m1 = Matrix4d::Random();</div>
<div class="line"> cout << m1 << endl << <span class="stringliteral">"becomes: "</span> << endl << m1.<a class="code" href="classEigen_1_1MatrixBase.html#a23fc4bf97168dee2516f85edcfd4cfe7">unaryExpr</a>(CwiseClampOp<double>(-0.5,0.5)) << endl;</div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 0.68 0.823 -0.444 -0.27
-0.211 -0.605 0.108 0.0268
0.566 -0.33 -0.0452 0.904
0.597 0.536 0.258 0.832
becomes:
0.5 0.5 -0.444 -0.27
-0.211 -0.5 0.108 0.0268
0.5 -0.33 -0.0452 0.5
0.5 0.5 0.258 0.5
</pre><dl class="section see"><dt>See Also</dt><dd>class CwiseUnaryOp, class CwiseBinaryOp </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1CwiseUnaryView.html">CwiseUnaryView</a><CustomViewOp, const <a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>< MatrixType, _Direction > > unaryViewExpr </td>
<td>(</td>
<td class="paramtype">const CustomViewOp & </td>
<td class="paramname"><em>func</em> = <code>CustomViewOp()</code></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a custom coefficient-wise unary operator <em>func</em> of *this</dd></dl>
<p>The template parameter <em>CustomUnaryOp</em> is the type of the functor of the custom unary operator.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Core></span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"><span class="keyword">using namespace </span>Eigen;</div>
<div class="line"><span class="keyword">using namespace </span>std;</div>
<div class="line"></div>
<div class="line"><span class="comment">// define a custom template unary functor</span></div>
<div class="line"><span class="keyword">template</span><<span class="keyword">typename</span> Scalar></div>
<div class="line"><span class="keyword">struct </span>CwiseClampOp {</div>
<div class="line"> CwiseClampOp(<span class="keyword">const</span> Scalar& inf, <span class="keyword">const</span> Scalar& sup) : m_inf(inf), m_sup(sup) {}</div>
<div class="line"> <span class="keyword">const</span> Scalar operator()(<span class="keyword">const</span> Scalar& x)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> x<m_inf ? m_inf : (x>m_sup ? m_sup : x); }</div>
<div class="line"> Scalar m_inf, m_sup;</div>
<div class="line">};</div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> main(<span class="keywordtype">int</span>, <span class="keywordtype">char</span>**)</div>
<div class="line">{</div>
<div class="line"> <a class="code" href="classEigen_1_1Matrix.html">Matrix4d</a> m1 = Matrix4d::Random();</div>
<div class="line"> cout << m1 << endl << <span class="stringliteral">"becomes: "</span> << endl << m1.<a class="code" href="classEigen_1_1MatrixBase.html#a23fc4bf97168dee2516f85edcfd4cfe7">unaryExpr</a>(CwiseClampOp<double>(-0.5,0.5)) << endl;</div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"> 0.68 0.823 -0.444 -0.27
-0.211 -0.605 0.108 0.0268
0.566 -0.33 -0.0452 0.904
0.597 0.536 0.258 0.832
becomes:
0.5 0.5 -0.444 -0.27
-0.211 -0.5 0.108 0.0268
0.5 -0.33 -0.0452 0.5
0.5 0.5 0.258 0.5
</pre><dl class="section see"><dt>See Also</dt><dd>class CwiseUnaryOp, class CwiseBinaryOp </dd></dl>
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<td class="memname">CoeffReturnType value </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>the unique coefficient of a 1x1 expression </dd></dl>
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<td class="memname">void visit </td>
<td>(</td>
<td class="paramtype">Visitor & </td>
<td class="paramname"><em>visitor</em></td><td>)</td>
<td> const</td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inherited</span></span> </td>
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<p>Applies the visitor <em>visitor</em> to the whole coefficients of the matrix or vector.</p>
<p>The template parameter <em>Visitor</em> is the type of the visitor and provides the following interface: </p>
<div class="fragment"><div class="line">* <span class="keyword">struct </span>MyVisitor {</div>
<div class="line">* <span class="comment">// called for the first coefficient</span></div>
<div class="line">* <span class="keywordtype">void</span> init(<span class="keyword">const</span> Scalar& <a class="code" href="classEigen_1_1DenseBase.html#adf21a576b8f3a10bb141b8afd173b13d">value</a>, <a class="code" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> i, <a class="code" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> j);</div>
<div class="line">* <span class="comment">// called for all other coefficients</span></div>
<div class="line">* <span class="keywordtype">void</span> operator() (<span class="keyword">const</span> Scalar& <a class="code" href="classEigen_1_1DenseBase.html#adf21a576b8f3a10bb141b8afd173b13d">value</a>, <a class="code" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> i, <a class="code" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> j);</div>
<div class="line">* };</div>
<div class="line">* </div>
</div><!-- fragment --><dl class="section note"><dt>Note</dt><dd>compared to one or two <em>for</em> <em>loops</em>, visitors offer automatic unrolling for small fixed size matrix.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>minCoeff(Index*,Index*), maxCoeff(Index*,Index*), DenseBase::redux() </dd></dl>
<p>References <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a>.</p>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::ConstantReturnType Zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>nbRows</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>nbCols</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a zero matrix.</dd></dl>
<p>The parameters <em>rows</em> and <em>cols</em> are the number of rows and of columns of the returned matrix. Must be compatible with this <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> type.</p>
<p>This variant is meant to be used for dynamic-size matrix types. For fixed-size types, it is redundant to pass <em>rows</em> and <em>cols</em> as arguments, so <a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero()</a> should be used instead.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">MatrixXi::Zero</a>(2,3) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">0 0 0
0 0 0
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a39390955f1297dacb49ac94429f321fd">Zero(Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::ConstantReturnType Zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classEigen_1_1DenseBase.html#a4d4873e91be950c079f067fa97fd5c40">Index</a> </td>
<td class="paramname"><em>size</em></td><td>)</td>
<td></td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a zero vector.</dd></dl>
<p>The parameter <em>size</em> is the size of the returned vector. Must be compatible with this <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> type.</p>
<p>This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.</p>
<p>This variant is meant to be used for dynamic-size vector types. For fixed-size types, it is redundant to pass <em>size</em> as argument, so <a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero()</a> should be used instead.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">RowVectorXi::Zero</a>(4) << endl;</div>
<div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">VectorXf::Zero</a>(2) << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">0 0 0 0
0
0
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Zero()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a724349af3e253b69a54d503931b52ec3">Zero(Index,Index)</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived >::ConstantReturnType Zero </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of a fixed-size zero matrix or vector.</dd></dl>
<p>This variant is only for fixed-size <a class="el" href="classEigen_1_1MatrixBase.html" title="Base class for all dense matrices, vectors, and expressions. ">MatrixBase</a> types. For dynamic-size types, you need to use the variants taking size arguments.</p>
<p>Example: </p>
<div class="fragment"><div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">Matrix2d::Zero</a>() << endl;</div>
<div class="line">cout << <a class="code" href="classEigen_1_1DenseBase.html#a2e36721b4833498b713e94a7948c6a29">RowVector4i::Zero</a>() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">0 0
0 0
0 0 0 0
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a39390955f1297dacb49ac94429f321fd">Zero(Index)</a>, <a class="el" href="classEigen_1_1DenseBase.html#a724349af3e253b69a54d503931b52ec3">Zero(Index,Index)</a> </dd></dl>
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<h2 class="groupheader">Friends And Related Function Documentation</h2>
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<td class="memname">std::ostream & operator<< </td>
<td>(</td>
<td class="paramtype">std::ostream & </td>
<td class="paramname"><em>s</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Derived > & </td>
<td class="paramname"><em>m</em> </td>
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<td>)</td>
<td></td><td></td>
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<p>Outputs the matrix, to the given stream.</p>
<p>If you wish to print the matrix with a format different than the default, use <a class="el" href="classEigen_1_1DenseBase.html#aa364b60e6a2a124ea7392e4c0550fb4e">DenseBase::format()</a>.</p>
<p>It is also possible to change the default format by defining EIGEN_DEFAULT_IO_FORMAT before including <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> headers. If not defined, this will automatically be defined to <a class="el" href="structEigen_1_1IOFormat.html" title="Stores a set of parameters controlling the way matrices are printed. ">Eigen::IOFormat()</a>, that is the <a class="el" href="structEigen_1_1IOFormat.html" title="Stores a set of parameters controlling the way matrices are printed. ">Eigen::IOFormat</a> with default parameters.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aa364b60e6a2a124ea7392e4c0550fb4e">DenseBase::format()</a> </dd></dl>
</div>
</div>
<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="ForwardDeclarations_8h_source.html">ForwardDeclarations.h</a></li>
<li><a class="el" href="Homogeneous_8h_source.html">Homogeneous.h</a></li>
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