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<div class="header">
  <div class="summary">
<a href="#func-members">Functions</a>  </div>
  <div class="headertitle">
<div class="title">GLM_EXT_matrix_transform<div class="ingroups"><a class="el" href="a00285.html">Stable extensions</a></div></div>  </div>
</div><!--header-->
<div class="contents">

<p>Defines functions that generate common transformation matrices.  
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ga81696f2b8d1db02ea1aff8da8f269314"><td class="memTemplParams" colspan="2"><a class="anchor" id="ga81696f2b8d1db02ea1aff8da8f269314"></a>
template&lt;typename genType &gt; </td></tr>
<tr class="memitem:ga81696f2b8d1db02ea1aff8da8f269314"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL GLM_CONSTEXPR genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#ga81696f2b8d1db02ea1aff8da8f269314">identity</a> ()</td></tr>
<tr class="memdesc:ga81696f2b8d1db02ea1aff8da8f269314"><td class="mdescLeft">&#160;</td><td class="mdescRight">Builds an identity matrix. <br /></td></tr>
<tr class="separator:ga81696f2b8d1db02ea1aff8da8f269314"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaa64aa951a0e99136bba9008d2b59c78e"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
<tr class="memitem:gaa64aa951a0e99136bba9008d2b59c78e"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat&lt; 4, 4, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#gaa64aa951a0e99136bba9008d2b59c78e">lookAt</a> (vec&lt; 3, T, Q &gt; const &amp;eye, vec&lt; 3, T, Q &gt; const &amp;center, vec&lt; 3, T, Q &gt; const &amp;up)</td></tr>
<tr class="memdesc:gaa64aa951a0e99136bba9008d2b59c78e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Build a look at view matrix based on the default handedness.  <a href="a00247.html#gaa64aa951a0e99136bba9008d2b59c78e">More...</a><br /></td></tr>
<tr class="separator:gaa64aa951a0e99136bba9008d2b59c78e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gab2c09e25b0a16d3a9d89cc85bbae41b0"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
<tr class="memitem:gab2c09e25b0a16d3a9d89cc85bbae41b0"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat&lt; 4, 4, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#gab2c09e25b0a16d3a9d89cc85bbae41b0">lookAtLH</a> (vec&lt; 3, T, Q &gt; const &amp;eye, vec&lt; 3, T, Q &gt; const &amp;center, vec&lt; 3, T, Q &gt; const &amp;up)</td></tr>
<tr class="memdesc:gab2c09e25b0a16d3a9d89cc85bbae41b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Build a left handed look at view matrix.  <a href="a00247.html#gab2c09e25b0a16d3a9d89cc85bbae41b0">More...</a><br /></td></tr>
<tr class="separator:gab2c09e25b0a16d3a9d89cc85bbae41b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gacfa12c8889c754846bc20c65d9b5c701"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
<tr class="memitem:gacfa12c8889c754846bc20c65d9b5c701"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat&lt; 4, 4, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#gacfa12c8889c754846bc20c65d9b5c701">lookAtRH</a> (vec&lt; 3, T, Q &gt; const &amp;eye, vec&lt; 3, T, Q &gt; const &amp;center, vec&lt; 3, T, Q &gt; const &amp;up)</td></tr>
<tr class="memdesc:gacfa12c8889c754846bc20c65d9b5c701"><td class="mdescLeft">&#160;</td><td class="mdescRight">Build a right handed look at view matrix.  <a href="a00247.html#gacfa12c8889c754846bc20c65d9b5c701">More...</a><br /></td></tr>
<tr class="separator:gacfa12c8889c754846bc20c65d9b5c701"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaee9e865eaa9776370996da2940873fd4"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
<tr class="memitem:gaee9e865eaa9776370996da2940873fd4"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat&lt; 4, 4, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#gaee9e865eaa9776370996da2940873fd4">rotate</a> (mat&lt; 4, 4, T, Q &gt; const &amp;m, T angle, vec&lt; 3, T, Q &gt; const &amp;axis)</td></tr>
<tr class="memdesc:gaee9e865eaa9776370996da2940873fd4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Builds a rotation 4 * 4 matrix created from an axis vector and an angle.  <a href="a00247.html#gaee9e865eaa9776370996da2940873fd4">More...</a><br /></td></tr>
<tr class="separator:gaee9e865eaa9776370996da2940873fd4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga05051adbee603fb3c5095d8cf5cc229b"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
<tr class="memitem:ga05051adbee603fb3c5095d8cf5cc229b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat&lt; 4, 4, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#ga05051adbee603fb3c5095d8cf5cc229b">scale</a> (mat&lt; 4, 4, T, Q &gt; const &amp;m, vec&lt; 3, T, Q &gt; const &amp;v)</td></tr>
<tr class="memdesc:ga05051adbee603fb3c5095d8cf5cc229b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Builds a scale 4 * 4 matrix created from 3 scalars.  <a href="a00247.html#ga05051adbee603fb3c5095d8cf5cc229b">More...</a><br /></td></tr>
<tr class="separator:ga05051adbee603fb3c5095d8cf5cc229b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga1a4ecc4ad82652b8fb14dcb087879284"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
<tr class="memitem:ga1a4ecc4ad82652b8fb14dcb087879284"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat&lt; 4, 4, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#ga1a4ecc4ad82652b8fb14dcb087879284">translate</a> (mat&lt; 4, 4, T, Q &gt; const &amp;m, vec&lt; 3, T, Q &gt; const &amp;v)</td></tr>
<tr class="memdesc:ga1a4ecc4ad82652b8fb14dcb087879284"><td class="mdescLeft">&#160;</td><td class="mdescRight">Builds a translation 4 * 4 matrix created from a vector of 3 components.  <a href="a00247.html#ga1a4ecc4ad82652b8fb14dcb087879284">More...</a><br /></td></tr>
<tr class="separator:ga1a4ecc4ad82652b8fb14dcb087879284"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>Defines functions that generate common transformation matrices. </p>
<p>The matrices generated by this extension use standard OpenGL fixed-function conventions. For example, the lookAt function generates a transform from world space into the specific eye space that the projective matrix functions (perspective, ortho, etc) are designed to expect. The OpenGL compatibility specifications defines the particular layout of this eye space.</p>
<p>Include &lt;<a class="el" href="a00108.html" title="GLM_EXT_matrix_transform ">glm/ext/matrix_transform.hpp</a>&gt; to use the features of this extension.</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00245.html" title="Functions that generate common projection transformation matrices. ">GLM_EXT_matrix_projection</a> </dd>
<dd>
<a class="el" href="a00243.html" title="Defines functions that generate clip space transformation matrices. ">GLM_EXT_matrix_clip_space</a> </dd></dl>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="gaa64aa951a0e99136bba9008d2b59c78e"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">GLM_FUNC_DECL mat&lt;4, 4, T, Q&gt; glm::lookAt </td>
          <td>(</td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>eye</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>center</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>up</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Build a look at view matrix based on the default handedness. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">eye</td><td>Position of the camera </td></tr>
    <tr><td class="paramname">center</td><td>Position where the camera is looking at </td></tr>
    <tr><td class="paramname">up</td><td>Normalized up vector, how the camera is oriented. Typically (0, 0, 1)</td></tr>
  </table>
  </dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
    <tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd>- frustum(T const&amp; left, T const&amp; right, T const&amp; bottom, T const&amp; top, T const&amp; nearVal, T const&amp; farVal) frustum(T const&amp; left, T const&amp; right, T const&amp; bottom, T const&amp; top, T const&amp; nearVal, T const&amp; farVal) </dd>
<dd>
<a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluLookAt.xml">gluLookAt man page</a> </dd></dl>

</div>
</div>
<a class="anchor" id="gab2c09e25b0a16d3a9d89cc85bbae41b0"></a>
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        <tr>
          <td class="memname">GLM_FUNC_DECL mat&lt;4, 4, T, Q&gt; glm::lookAtLH </td>
          <td>(</td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>eye</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>center</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>up</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Build a left handed look at view matrix. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">eye</td><td>Position of the camera </td></tr>
    <tr><td class="paramname">center</td><td>Position where the camera is looking at </td></tr>
    <tr><td class="paramname">up</td><td>Normalized up vector, how the camera is oriented. Typically (0, 0, 1)</td></tr>
  </table>
  </dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
    <tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd>- frustum(T const&amp; left, T const&amp; right, T const&amp; bottom, T const&amp; top, T const&amp; nearVal, T const&amp; farVal) frustum(T const&amp; left, T const&amp; right, T const&amp; bottom, T const&amp; top, T const&amp; nearVal, T const&amp; farVal) </dd></dl>

</div>
</div>
<a class="anchor" id="gacfa12c8889c754846bc20c65d9b5c701"></a>
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<div class="memproto">
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        <tr>
          <td class="memname">GLM_FUNC_DECL mat&lt;4, 4, T, Q&gt; glm::lookAtRH </td>
          <td>(</td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>eye</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>center</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>up</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Build a right handed look at view matrix. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">eye</td><td>Position of the camera </td></tr>
    <tr><td class="paramname">center</td><td>Position where the camera is looking at </td></tr>
    <tr><td class="paramname">up</td><td>Normalized up vector, how the camera is oriented. Typically (0, 0, 1)</td></tr>
  </table>
  </dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
    <tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd>- frustum(T const&amp; left, T const&amp; right, T const&amp; bottom, T const&amp; top, T const&amp; nearVal, T const&amp; farVal) frustum(T const&amp; left, T const&amp; right, T const&amp; bottom, T const&amp; top, T const&amp; nearVal, T const&amp; farVal) </dd></dl>

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<a class="anchor" id="gaee9e865eaa9776370996da2940873fd4"></a>
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          <td class="memname">GLM_FUNC_DECL mat&lt;4, 4, T, Q&gt; glm::rotate </td>
          <td>(</td>
          <td class="paramtype">mat&lt; 4, 4, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">T&#160;</td>
          <td class="paramname"><em>angle</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>axis</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Builds a rotation 4 * 4 matrix created from an axis vector and an angle. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">m</td><td>Input matrix multiplied by this rotation matrix. </td></tr>
    <tr><td class="paramname">angle</td><td>Rotation angle expressed in radians. </td></tr>
    <tr><td class="paramname">axis</td><td>Rotation axis, recommended to be normalized.</td></tr>
  </table>
  </dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
    <tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd>- rotate(mat&lt;4, 4, T, Q&gt; const&amp; m, T angle, T x, T y, T z) </dd>
<dd>
- rotate(T angle, vec&lt;3, T, Q&gt; const&amp; v) </dd>
<dd>
<a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/glRotate.xml">glRotate man page</a> </dd></dl>

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          <td class="memname">GLM_FUNC_DECL mat&lt;4, 4, T, Q&gt; glm::scale </td>
          <td>(</td>
          <td class="paramtype">mat&lt; 4, 4, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>v</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Builds a scale 4 * 4 matrix created from 3 scalars. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">m</td><td>Input matrix multiplied by this scale matrix. </td></tr>
    <tr><td class="paramname">v</td><td>Ratio of scaling for each axis.</td></tr>
  </table>
  </dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
    <tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd>- scale(mat&lt;4, 4, T, Q&gt; const&amp; m, T x, T y, T z) </dd>
<dd>
- scale(vec&lt;3, T, Q&gt; const&amp; v) </dd>
<dd>
<a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/glScale.xml">glScale man page</a> </dd></dl>

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      <table class="memname">
        <tr>
          <td class="memname">GLM_FUNC_DECL mat&lt;4, 4, T, Q&gt; glm::translate </td>
          <td>(</td>
          <td class="paramtype">mat&lt; 4, 4, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>
          <td class="paramname"><em>v</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Builds a translation 4 * 4 matrix created from a vector of 3 components. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">m</td><td>Input matrix multiplied by this translation matrix. </td></tr>
    <tr><td class="paramname">v</td><td>Coordinates of a translation vector.</td></tr>
  </table>
  </dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
    <tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
  </table>
  </dd>
</dl>
<div class="fragment"><div class="line"><span class="preprocessor">#include &lt;<a class="code" href="a00037.html">glm/glm.hpp</a>&gt;</span></div>
<div class="line"><span class="preprocessor">#include &lt;<a class="code" href="a00109.html">glm/gtc/matrix_transform.hpp</a>&gt;</span></div>
<div class="line">...</div>
<div class="line">glm::mat4 m = <a class="code" href="a00247.html#ga1a4ecc4ad82652b8fb14dcb087879284">glm::translate</a>(<a class="code" href="a00283.html#ga0db98d836c5549d31cf64ecd043b7af7">glm::mat4</a>(1.0f), <a class="code" href="a00281.html#ga9c3019b13faf179e4ad3626ea66df334">glm::vec3</a>(1.0f));</div>
<div class="line"><span class="comment">// m[0][0] == 1.0f, m[0][1] == 0.0f, m[0][2] == 0.0f, m[0][3] == 0.0f</span></div>
<div class="line"><span class="comment">// m[1][0] == 0.0f, m[1][1] == 1.0f, m[1][2] == 0.0f, m[1][3] == 0.0f</span></div>
<div class="line"><span class="comment">// m[2][0] == 0.0f, m[2][1] == 0.0f, m[2][2] == 1.0f, m[2][3] == 0.0f</span></div>
<div class="line"><span class="comment">// m[3][0] == 1.0f, m[3][1] == 1.0f, m[3][2] == 1.0f, m[3][3] == 1.0f</span></div>
</div><!-- fragment --><dl class="section see"><dt>See also</dt><dd>- translate(mat&lt;4, 4, T, Q&gt; const&amp; m, T x, T y, T z) </dd>
<dd>
- translate(vec&lt;3, T, Q&gt; const&amp; v) </dd>
<dd>
<a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/glTranslate.xml">glTranslate man page</a> </dd></dl>

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