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<div class="navpath"><b>sf</b>::<a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a>
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<h1>sf::Matrix3 Class Reference</h1><!-- doxytag: class="sf::Matrix3" -->Utility class to manipulate 3x3 matrices representing 2D transformations.
<a href="#_details">More...</a>
<p>
<code>#include <<a class="el" href="Matrix3_8hpp-source.htm">Matrix3.hpp</a>></code>
<p>
<p>
<a href="classsf_1_1Matrix3-members.htm">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
<tr><td></td></tr>
<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classsf_1_1Matrix3.htm#c91b75704a916deb3febe39e06962b4c">Matrix3</a> ()</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Default constructor (builds an identity matrix). <a href="#c91b75704a916deb3febe39e06962b4c"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classsf_1_1Matrix3.htm#e0dc2db05f945d1e170f6d540193b309">Matrix3</a> (float a00, float a01, float a02, float a10, float a11, float a12, float a20, float a21, float a22)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Construct a matrix from its 9 elements. <a href="#e0dc2db05f945d1e170f6d540193b309"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classsf_1_1Matrix3.htm#beb18b51c51229e809725e4cd5741b2d">SetFromTransformations</a> (const <a class="el" href="classsf_1_1Vector2.htm">Vector2f</a> &Center, const <a class="el" href="classsf_1_1Vector2.htm">Vector2f</a> &Translation, float Rotation, const <a class="el" href="classsf_1_1Vector2.htm">Vector2f</a> &Scale)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Build a matrix from a set of transformations. <a href="#beb18b51c51229e809725e4cd5741b2d"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classsf_1_1Vector2.htm">Vector2f</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classsf_1_1Matrix3.htm#8cb1106305307a8fbf8450f4aa6f4151">Transform</a> (const <a class="el" href="classsf_1_1Vector2.htm">Vector2f</a> &Point) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Transform a point by the matrix. <a href="#8cb1106305307a8fbf8450f4aa6f4151"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classsf_1_1Matrix3.htm#fa7b544f401812b55ace055043385e8e">GetInverse</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Return the inverse of the matrix. <a href="#fa7b544f401812b55ace055043385e8e"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const float * </td><td class="memItemRight" valign="bottom"><a class="el" href="classsf_1_1Matrix3.htm#ff23cbd3d056d404a566a62dea4c98c1">Get4x4Elements</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Return the elements of the matrix as a 4x4, in an array of 16 floats. <a href="#ff23cbd3d056d404a566a62dea4c98c1"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">float </td><td class="memItemRight" valign="bottom"><a class="el" href="classsf_1_1Matrix3.htm#fffc96664df9bfc7aff4b95a6b11aea8">operator()</a> (unsigned int Row, unsigned int Col) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Operator () overloads to access the matrix elements. <a href="#fffc96664df9bfc7aff4b95a6b11aea8"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="124eb681c1ecb8f98c3e69b173c85545"></a><!-- doxytag: member="sf::Matrix3::operator()" ref="124eb681c1ecb8f98c3e69b173c85545" args="(unsigned int Row, unsigned int Col)" -->
float & </td><td class="memItemRight" valign="bottom"><b>operator()</b> (unsigned int Row, unsigned int Col)</td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classsf_1_1Matrix3.htm#695f753f4aa2cd617c1cecdfa0212e28">operator*</a> (const <a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> &Mat) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Operator * overload to multiply two matrices. <a href="#695f753f4aa2cd617c1cecdfa0212e28"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classsf_1_1Matrix3.htm#ac08a84563176fb77613c43adf402966">operator*=</a> (const <a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> &Mat)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Operator *= overload to multiply-assign two matrices. <a href="#ac08a84563176fb77613c43adf402966"></a><br></td></tr>
<tr><td colspan="2"><br><h2>Static Public Attributes</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">static const <a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classsf_1_1Matrix3.htm#fa5a43545e529d8b8628ca42289ef40a">Identity</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Identity matrix. <a href="#fa5a43545e529d8b8628ca42289ef40a"></a><br></td></tr>
</table>
<hr><a name="_details"></a><h2>Detailed Description</h2>
Utility class to manipulate 3x3 matrices representing 2D transformations.
<p>Definition at line <a class="el" href="Matrix3_8hpp-source.htm#l00042">42</a> of file <a class="el" href="Matrix3_8hpp-source.htm">Matrix3.hpp</a>.</p>
<hr><h2>Constructor & Destructor Documentation</h2>
<a class="anchor" name="c91b75704a916deb3febe39e06962b4c"></a><!-- doxytag: member="sf::Matrix3::Matrix3" ref="c91b75704a916deb3febe39e06962b4c" args="()" -->
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<td class="memname">sf::Matrix3::Matrix3 </td>
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<p>
Default constructor (builds an identity matrix).
<p>
</div>
</div><p>
<a class="anchor" name="e0dc2db05f945d1e170f6d540193b309"></a><!-- doxytag: member="sf::Matrix3::Matrix3" ref="e0dc2db05f945d1e170f6d540193b309" args="(float a00, float a01, float a02, float a10, float a11, float a12, float a20, float a21, float a22)" -->
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<td class="memname">sf::Matrix3::Matrix3 </td>
<td>(</td>
<td class="paramtype">float </td>
<td class="paramname"> <em>a00</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>a01</em>, </td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>a02</em>, </td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>a10</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>a11</em>, </td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>a12</em>, </td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>a20</em>, </td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>a21</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>a22</em></td><td> </td>
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<td></td>
<td>)</td>
<td></td><td></td><td></td>
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<p>
Construct a matrix from its 9 elements.
<p>
</div>
</div><p>
<hr><h2>Member Function Documentation</h2>
<a class="anchor" name="ff23cbd3d056d404a566a62dea4c98c1"></a><!-- doxytag: member="sf::Matrix3::Get4x4Elements" ref="ff23cbd3d056d404a566a62dea4c98c1" args="() const " -->
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<td class="memname">const float* sf::Matrix3::Get4x4Elements </td>
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<td class="paramname"> </td>
<td> ) </td>
<td> const</td>
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<p>
Return the elements of the matrix as a 4x4, in an array of 16 floats.
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>Pointer to the 4x4 matrix elements </dd></dl>
</div>
</div><p>
<a class="anchor" name="fa7b544f401812b55ace055043385e8e"></a><!-- doxytag: member="sf::Matrix3::GetInverse" ref="fa7b544f401812b55ace055043385e8e" args="() const " -->
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<td class="memname"><a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> sf::Matrix3::GetInverse </td>
<td>(</td>
<td class="paramname"> </td>
<td> ) </td>
<td> const</td>
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<p>
Return the inverse of the matrix.
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>A new matrix which is the inverse of this </dd></dl>
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<a class="anchor" name="fffc96664df9bfc7aff4b95a6b11aea8"></a><!-- doxytag: member="sf::Matrix3::operator()" ref="fffc96664df9bfc7aff4b95a6b11aea8" args="(unsigned int Row, unsigned int Col) const " -->
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<td class="memname">float sf::Matrix3::operator() </td>
<td>(</td>
<td class="paramtype">unsigned int </td>
<td class="paramname"> <em>Row</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned int </td>
<td class="paramname"> <em>Col</em></td><td> </td>
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<td>)</td>
<td></td><td></td><td> const</td>
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<p>
Operator () overloads to access the matrix elements.
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"></td><td valign="top"><em>Row</em> </td><td>: Element row (0 based) </td></tr>
<tr><td valign="top"></td><td valign="top"><em>Col</em> </td><td>: Element column (0 based)</td></tr>
</table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>Matrix element (Row, Col) </dd></dl>
</div>
</div><p>
<a class="anchor" name="695f753f4aa2cd617c1cecdfa0212e28"></a><!-- doxytag: member="sf::Matrix3::operator*" ref="695f753f4aa2cd617c1cecdfa0212e28" args="(const Matrix3 &Mat) const " -->
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<td class="memname"><a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> sf::Matrix3::operator* </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> & </td>
<td class="paramname"> <em>Mat</em> </td>
<td> ) </td>
<td> const</td>
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<p>
Operator * overload to multiply two matrices.
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"></td><td valign="top"><em>Mat</em> </td><td>: Matrix to multiply</td></tr>
</table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>this * Mat </dd></dl>
</div>
</div><p>
<a class="anchor" name="ac08a84563176fb77613c43adf402966"></a><!-- doxytag: member="sf::Matrix3::operator*=" ref="ac08a84563176fb77613c43adf402966" args="(const Matrix3 &Mat)" -->
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<td class="memname"><a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a>& sf::Matrix3::operator*= </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> & </td>
<td class="paramname"> <em>Mat</em> </td>
<td> ) </td>
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<p>
Operator *= overload to multiply-assign two matrices.
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"></td><td valign="top"><em>Mat</em> </td><td>: Matrix to multiply</td></tr>
</table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>this * Mat </dd></dl>
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</div><p>
<a class="anchor" name="beb18b51c51229e809725e4cd5741b2d"></a><!-- doxytag: member="sf::Matrix3::SetFromTransformations" ref="beb18b51c51229e809725e4cd5741b2d" args="(const Vector2f &Center, const Vector2f &Translation, float Rotation, const Vector2f &Scale)" -->
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<td class="memname">void sf::Matrix3::SetFromTransformations </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classsf_1_1Vector2.htm">Vector2f</a> & </td>
<td class="paramname"> <em>Center</em>, </td>
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<td class="paramtype">const <a class="el" href="classsf_1_1Vector2.htm">Vector2f</a> & </td>
<td class="paramname"> <em>Translation</em>, </td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>Rotation</em>, </td>
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<td class="paramtype">const <a class="el" href="classsf_1_1Vector2.htm">Vector2f</a> & </td>
<td class="paramname"> <em>Scale</em></td><td> </td>
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<td>)</td>
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<p>
Build a matrix from a set of transformations.
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"></td><td valign="top"><em>Center</em> </td><td>: Origin for the transformations </td></tr>
<tr><td valign="top"></td><td valign="top"><em>Translation</em> </td><td>: Translation offset </td></tr>
<tr><td valign="top"></td><td valign="top"><em>Rotation</em> </td><td>: Rotation angle in degrees </td></tr>
<tr><td valign="top"></td><td valign="top"><em>Scale</em> </td><td>: Scaling factors </td></tr>
</table>
</dl>
</div>
</div><p>
<a class="anchor" name="8cb1106305307a8fbf8450f4aa6f4151"></a><!-- doxytag: member="sf::Matrix3::Transform" ref="8cb1106305307a8fbf8450f4aa6f4151" args="(const Vector2f &Point) const " -->
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<td class="memname"><a class="el" href="classsf_1_1Vector2.htm">Vector2f</a> sf::Matrix3::Transform </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classsf_1_1Vector2.htm">Vector2f</a> & </td>
<td class="paramname"> <em>Point</em> </td>
<td> ) </td>
<td> const</td>
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<p>
Transform a point by the matrix.
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"></td><td valign="top"><em>Point</em> </td><td>: Point to transform</td></tr>
</table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>Transformed point </dd></dl>
</div>
</div><p>
<hr><h2>Member Data Documentation</h2>
<a class="anchor" name="fa5a43545e529d8b8628ca42289ef40a"></a><!-- doxytag: member="sf::Matrix3::Identity" ref="fa5a43545e529d8b8628ca42289ef40a" args="" -->
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<td class="memname">const <a class="el" href="classsf_1_1Matrix3.htm">Matrix3</a> <a class="el" href="classsf_1_1Matrix3.htm#fa5a43545e529d8b8628ca42289ef40a">sf::Matrix3::Identity</a><code> [static]</code> </td>
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<p>
Identity matrix.
<p>
<p>Definition at line <a class="el" href="Matrix3_8hpp-source.htm#l00133">133</a> of file <a class="el" href="Matrix3_8hpp-source.htm">Matrix3.hpp</a>.</p>
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</div><p>
<hr>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="Matrix3_8hpp-source.htm">Matrix3.hpp</a><li><a class="el" href="Matrix3_8cpp-source.htm">Matrix3.cpp</a></ul>
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