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<div class="header">
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<div class="summary">
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<a href="#func-members">Functions</a> </div>
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<div class="headertitle">
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<div class="title">GLM_EXT_matrix_transform<div class="ingroups"><a class="el" href="a00285.html">Stable extensions</a></div></div> </div>
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</div><!--header-->
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<div class="contents">
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<p>Defines functions that generate common transformation matrices.
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<a href="#details">More...</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:ga81696f2b8d1db02ea1aff8da8f269314"><td class="memTemplParams" colspan="2"><a class="anchor" id="ga81696f2b8d1db02ea1aff8da8f269314"></a>
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template<typename genType > </td></tr>
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<tr class="memitem:ga81696f2b8d1db02ea1aff8da8f269314"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL GLM_CONSTEXPR genType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#ga81696f2b8d1db02ea1aff8da8f269314">identity</a> ()</td></tr>
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<tr class="memdesc:ga81696f2b8d1db02ea1aff8da8f269314"><td class="mdescLeft"> </td><td class="mdescRight">Builds an identity matrix. <br /></td></tr>
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<tr class="separator:ga81696f2b8d1db02ea1aff8da8f269314"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gaa64aa951a0e99136bba9008d2b59c78e"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gaa64aa951a0e99136bba9008d2b59c78e"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat< 4, 4, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#gaa64aa951a0e99136bba9008d2b59c78e">lookAt</a> (vec< 3, T, Q > const &eye, vec< 3, T, Q > const &center, vec< 3, T, Q > const &up)</td></tr>
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<tr class="memdesc:gaa64aa951a0e99136bba9008d2b59c78e"><td class="mdescLeft"> </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>
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<tr class="separator:gaa64aa951a0e99136bba9008d2b59c78e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gab2c09e25b0a16d3a9d89cc85bbae41b0"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gab2c09e25b0a16d3a9d89cc85bbae41b0"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat< 4, 4, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#gab2c09e25b0a16d3a9d89cc85bbae41b0">lookAtLH</a> (vec< 3, T, Q > const &eye, vec< 3, T, Q > const &center, vec< 3, T, Q > const &up)</td></tr>
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<tr class="memdesc:gab2c09e25b0a16d3a9d89cc85bbae41b0"><td class="mdescLeft"> </td><td class="mdescRight">Build a left handed look at view matrix. <a href="a00247.html#gab2c09e25b0a16d3a9d89cc85bbae41b0">More...</a><br /></td></tr>
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<tr class="separator:gab2c09e25b0a16d3a9d89cc85bbae41b0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gacfa12c8889c754846bc20c65d9b5c701"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gacfa12c8889c754846bc20c65d9b5c701"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat< 4, 4, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#gacfa12c8889c754846bc20c65d9b5c701">lookAtRH</a> (vec< 3, T, Q > const &eye, vec< 3, T, Q > const &center, vec< 3, T, Q > const &up)</td></tr>
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<tr class="memdesc:gacfa12c8889c754846bc20c65d9b5c701"><td class="mdescLeft"> </td><td class="mdescRight">Build a right handed look at view matrix. <a href="a00247.html#gacfa12c8889c754846bc20c65d9b5c701">More...</a><br /></td></tr>
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<tr class="separator:gacfa12c8889c754846bc20c65d9b5c701"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gaee9e865eaa9776370996da2940873fd4"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gaee9e865eaa9776370996da2940873fd4"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat< 4, 4, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#gaee9e865eaa9776370996da2940873fd4">rotate</a> (mat< 4, 4, T, Q > const &m, T angle, vec< 3, T, Q > const &axis)</td></tr>
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<tr class="memdesc:gaee9e865eaa9776370996da2940873fd4"><td class="mdescLeft"> </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>
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<tr class="separator:gaee9e865eaa9776370996da2940873fd4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga05051adbee603fb3c5095d8cf5cc229b"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga05051adbee603fb3c5095d8cf5cc229b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat< 4, 4, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#ga05051adbee603fb3c5095d8cf5cc229b">scale</a> (mat< 4, 4, T, Q > const &m, vec< 3, T, Q > const &v)</td></tr>
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<tr class="memdesc:ga05051adbee603fb3c5095d8cf5cc229b"><td class="mdescLeft"> </td><td class="mdescRight">Builds a scale 4 * 4 matrix created from 3 scalars. <a href="a00247.html#ga05051adbee603fb3c5095d8cf5cc229b">More...</a><br /></td></tr>
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<tr class="separator:ga05051adbee603fb3c5095d8cf5cc229b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga1a4ecc4ad82652b8fb14dcb087879284"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga1a4ecc4ad82652b8fb14dcb087879284"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat< 4, 4, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00247.html#ga1a4ecc4ad82652b8fb14dcb087879284">translate</a> (mat< 4, 4, T, Q > const &m, vec< 3, T, Q > const &v)</td></tr>
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<tr class="memdesc:ga1a4ecc4ad82652b8fb14dcb087879284"><td class="mdescLeft"> </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>
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<tr class="separator:ga1a4ecc4ad82652b8fb14dcb087879284"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<p>Defines functions that generate common transformation matrices. </p>
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<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>
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<p>Include <<a class="el" href="a00108.html" title="GLM_EXT_matrix_transform ">glm/ext/matrix_transform.hpp</a>> to use the features of this extension.</p>
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<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>
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<dd>
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<a class="el" href="a00243.html" title="Defines functions that generate clip space transformation matrices. ">GLM_EXT_matrix_clip_space</a> </dd></dl>
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<h2 class="groupheader">Function Documentation</h2>
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<a class="anchor" id="gaa64aa951a0e99136bba9008d2b59c78e"></a>
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<td class="memname">GLM_FUNC_DECL mat<4, 4, T, Q> glm::lookAt </td>
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<td>(</td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>eye</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>center</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>up</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Build a look at view matrix based on the default handedness. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">eye</td><td>Position of the camera </td></tr>
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<tr><td class="paramname">center</td><td>Position where the camera is looking at </td></tr>
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<tr><td class="paramname">up</td><td>Normalized up vector, how the camera is oriented. Typically (0, 0, 1)</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
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<tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd>- frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) </dd>
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<dd>
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<a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluLookAt.xml">gluLookAt man page</a> </dd></dl>
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</div>
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<a class="anchor" id="gab2c09e25b0a16d3a9d89cc85bbae41b0"></a>
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<td class="memname">GLM_FUNC_DECL mat<4, 4, T, Q> glm::lookAtLH </td>
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<td>(</td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>eye</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>center</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>up</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Build a left handed look at view matrix. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">eye</td><td>Position of the camera </td></tr>
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<tr><td class="paramname">center</td><td>Position where the camera is looking at </td></tr>
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<tr><td class="paramname">up</td><td>Normalized up vector, how the camera is oriented. Typically (0, 0, 1)</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
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<tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd>- frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) </dd></dl>
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</div>
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<a class="anchor" id="gacfa12c8889c754846bc20c65d9b5c701"></a>
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<div class="memitem">
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<td class="memname">GLM_FUNC_DECL mat<4, 4, T, Q> glm::lookAtRH </td>
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<td>(</td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>eye</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>center</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>up</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Build a right handed look at view matrix. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">eye</td><td>Position of the camera </td></tr>
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<tr><td class="paramname">center</td><td>Position where the camera is looking at </td></tr>
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<tr><td class="paramname">up</td><td>Normalized up vector, how the camera is oriented. Typically (0, 0, 1)</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
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<tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd>- frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) </dd></dl>
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<a class="anchor" id="gaee9e865eaa9776370996da2940873fd4"></a>
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<td class="memname">GLM_FUNC_DECL mat<4, 4, T, Q> glm::rotate </td>
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<td>(</td>
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<td class="paramtype">mat< 4, 4, T, Q > const & </td>
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<td class="paramname"><em>m</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">T </td>
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<td class="paramname"><em>angle</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>axis</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Builds a rotation 4 * 4 matrix created from an axis vector and an angle. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">m</td><td>Input matrix multiplied by this rotation matrix. </td></tr>
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<tr><td class="paramname">angle</td><td>Rotation angle expressed in radians. </td></tr>
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<tr><td class="paramname">axis</td><td>Rotation axis, recommended to be normalized.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
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<tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd>- rotate(mat<4, 4, T, Q> const& m, T angle, T x, T y, T z) </dd>
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<dd>
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- rotate(T angle, vec<3, T, Q> const& v) </dd>
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<dd>
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<a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/glRotate.xml">glRotate man page</a> </dd></dl>
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</div>
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</div>
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<a class="anchor" id="ga05051adbee603fb3c5095d8cf5cc229b"></a>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">GLM_FUNC_DECL mat<4, 4, T, Q> glm::scale </td>
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<td>(</td>
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<td class="paramtype">mat< 4, 4, T, Q > const & </td>
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<td class="paramname"><em>m</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>v</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Builds a scale 4 * 4 matrix created from 3 scalars. </p>
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<dl class="params"><dt>Parameters</dt><dd>
|
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<table class="params">
|
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<tr><td class="paramname">m</td><td>Input matrix multiplied by this scale matrix. </td></tr>
|
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<tr><td class="paramname">v</td><td>Ratio of scaling for each axis.</td></tr>
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</table>
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</dd>
|
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</dl>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
|
|
<tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
|
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<tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
|
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</table>
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|
</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd>- scale(mat<4, 4, T, Q> const& m, T x, T y, T z) </dd>
|
|
<dd>
|
|
- scale(vec<3, T, Q> const& 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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|
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</div>
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</div>
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<a class="anchor" id="ga1a4ecc4ad82652b8fb14dcb087879284"></a>
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<div class="memitem">
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<div class="memproto">
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<tr>
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<td class="memname">GLM_FUNC_DECL mat<4, 4, T, Q> glm::translate </td>
|
|
<td>(</td>
|
|
<td class="paramtype">mat< 4, 4, T, Q > const & </td>
|
|
<td class="paramname"><em>m</em>, </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">vec< 3, T, Q > const & </td>
|
|
<td class="paramname"><em>v</em> </td>
|
|
</tr>
|
|
<tr>
|
|
<td></td>
|
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<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 <<a class="code" href="a00037.html">glm/glm.hpp</a>></span></div>
|
|
<div class="line"><span class="preprocessor">#include <<a class="code" href="a00109.html">glm/gtc/matrix_transform.hpp</a>></span></div>
|
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<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<4, 4, T, Q> const& m, T x, T y, T z) </dd>
|
|
<dd>
|
|
- translate(vec<3, T, Q> const& v) </dd>
|
|
<dd>
|
|
<a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/glTranslate.xml">glTranslate man page</a> </dd></dl>
|
|
|
|
</div>
|
|
</div>
|
|
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