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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_quaternion_common<div class="ingroups"><a class="el" href="a00285.html">Stable extensions</a></div></div>  </div> | ||
|  | </div><!--header--> | ||
|  | <div class="contents"> | ||
|  | 
 | ||
|  | <p>Provides common functions for quaternion types.   | ||
|  | <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:ga10d7bda73201788ac2ab28cd8d0d409b"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr> | ||
|  | <tr class="memitem:ga10d7bda73201788ac2ab28cd8d0d409b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#ga10d7bda73201788ac2ab28cd8d0d409b">conjugate</a> (qua< T, Q > const &q)</td></tr> | ||
|  | <tr class="memdesc:ga10d7bda73201788ac2ab28cd8d0d409b"><td class="mdescLeft"> </td><td class="mdescRight">Returns the q conjugate.  <a href="a00248.html#ga10d7bda73201788ac2ab28cd8d0d409b">More...</a><br /></td></tr> | ||
|  | <tr class="separator:ga10d7bda73201788ac2ab28cd8d0d409b"><td class="memSeparator" colspan="2"> </td></tr> | ||
|  | <tr class="memitem:gab41da854ae678e23e114b598cbca4065"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr> | ||
|  | <tr class="memitem:gab41da854ae678e23e114b598cbca4065"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#gab41da854ae678e23e114b598cbca4065">inverse</a> (qua< T, Q > const &q)</td></tr> | ||
|  | <tr class="memdesc:gab41da854ae678e23e114b598cbca4065"><td class="mdescLeft"> </td><td class="mdescRight">Returns the q inverse.  <a href="a00248.html#gab41da854ae678e23e114b598cbca4065">More...</a><br /></td></tr> | ||
|  | <tr class="separator:gab41da854ae678e23e114b598cbca4065"><td class="memSeparator" colspan="2"> </td></tr> | ||
|  | <tr class="memitem:ga45722741ea266b4e861938b365c5f362"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr> | ||
|  | <tr class="memitem:ga45722741ea266b4e861938b365c5f362"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, bool, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#ga45722741ea266b4e861938b365c5f362">isinf</a> (qua< T, Q > const &x)</td></tr> | ||
|  | <tr class="memdesc:ga45722741ea266b4e861938b365c5f362"><td class="mdescLeft"> </td><td class="mdescRight">Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations.  <a href="a00248.html#ga45722741ea266b4e861938b365c5f362">More...</a><br /></td></tr> | ||
|  | <tr class="separator:ga45722741ea266b4e861938b365c5f362"><td class="memSeparator" colspan="2"> </td></tr> | ||
|  | <tr class="memitem:ga1bb55f8963616502e96dc564384d8a03"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr> | ||
|  | <tr class="memitem:ga1bb55f8963616502e96dc564384d8a03"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, bool, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#ga1bb55f8963616502e96dc564384d8a03">isnan</a> (qua< T, Q > const &x)</td></tr> | ||
|  | <tr class="memdesc:ga1bb55f8963616502e96dc564384d8a03"><td class="mdescLeft"> </td><td class="mdescRight">Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations.  <a href="a00248.html#ga1bb55f8963616502e96dc564384d8a03">More...</a><br /></td></tr> | ||
|  | <tr class="separator:ga1bb55f8963616502e96dc564384d8a03"><td class="memSeparator" colspan="2"> </td></tr> | ||
|  | <tr class="memitem:ga6033dc0741051fa463a0a147ba29f293"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr> | ||
|  | <tr class="memitem:ga6033dc0741051fa463a0a147ba29f293"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#ga6033dc0741051fa463a0a147ba29f293">lerp</a> (qua< T, Q > const &x, qua< T, Q > const &y, T a)</td></tr> | ||
|  | <tr class="memdesc:ga6033dc0741051fa463a0a147ba29f293"><td class="mdescLeft"> </td><td class="mdescRight">Linear interpolation of two quaternions.  <a href="a00248.html#ga6033dc0741051fa463a0a147ba29f293">More...</a><br /></td></tr> | ||
|  | <tr class="separator:ga6033dc0741051fa463a0a147ba29f293"><td class="memSeparator" colspan="2"> </td></tr> | ||
|  | <tr class="memitem:gafbfe587b8da11fb89a30c3d67dd5ccc2"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr> | ||
|  | <tr class="memitem:gafbfe587b8da11fb89a30c3d67dd5ccc2"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#gafbfe587b8da11fb89a30c3d67dd5ccc2">mix</a> (qua< T, Q > const &x, qua< T, Q > const &y, T a)</td></tr> | ||
|  | <tr class="memdesc:gafbfe587b8da11fb89a30c3d67dd5ccc2"><td class="mdescLeft"> </td><td class="mdescRight">Spherical linear interpolation of two quaternions.  <a href="a00248.html#gafbfe587b8da11fb89a30c3d67dd5ccc2">More...</a><br /></td></tr> | ||
|  | <tr class="separator:gafbfe587b8da11fb89a30c3d67dd5ccc2"><td class="memSeparator" colspan="2"> </td></tr> | ||
|  | <tr class="memitem:gae7fc3c945be366b9942b842f55da428a"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr> | ||
|  | <tr class="memitem:gae7fc3c945be366b9942b842f55da428a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#gae7fc3c945be366b9942b842f55da428a">slerp</a> (qua< T, Q > const &x, qua< T, Q > const &y, T a)</td></tr> | ||
|  | <tr class="memdesc:gae7fc3c945be366b9942b842f55da428a"><td class="mdescLeft"> </td><td class="mdescRight">Spherical linear interpolation of two quaternions.  <a href="a00248.html#gae7fc3c945be366b9942b842f55da428a">More...</a><br /></td></tr> | ||
|  | <tr class="separator:gae7fc3c945be366b9942b842f55da428a"><td class="memSeparator" colspan="2"> </td></tr> | ||
|  | </table> | ||
|  | <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2> | ||
|  | <p>Provides common functions for quaternion types. </p> | ||
|  | <p>Include <<a class="el" href="a00127.html" title="GLM_EXT_quaternion_common ">glm/ext/quaternion_common.hpp</a>> to use the features of this extension.</p> | ||
|  | <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00258.html" title="Exposes min and max functions for 3 to 4 scalar parameters. ">GLM_EXT_scalar_common</a> </dd> | ||
|  | <dd> | ||
|  | <a class="el" href="a00267.html" title="Exposes min and max functions for 3 to 4 vector parameters. ">GLM_EXT_vector_common</a> </dd> | ||
|  | <dd> | ||
|  | <a class="el" href="a00252.html" title="Exposes single-precision floating point quaternion type. ">GLM_EXT_quaternion_float</a> </dd> | ||
|  | <dd> | ||
|  | <a class="el" href="a00249.html" title="Exposes double-precision floating point quaternion type. ">GLM_EXT_quaternion_double</a> </dd> | ||
|  | <dd> | ||
|  | <a class="el" href="a00251.html" title="Provides exponential functions for quaternion types. ">GLM_EXT_quaternion_exponential</a> </dd> | ||
|  | <dd> | ||
|  | <a class="el" href="a00254.html" title="Provides geometric functions for quaternion types. ">GLM_EXT_quaternion_geometric</a> </dd> | ||
|  | <dd> | ||
|  | <a class="el" href="a00255.html" title="Exposes comparison functions for quaternion types that take a user defined epsilon values...">GLM_EXT_quaternion_relational</a> </dd> | ||
|  | <dd> | ||
|  | <a class="el" href="a00257.html" title="Provides trigonometric functions for quaternion types. ">GLM_EXT_quaternion_trigonometric</a> </dd> | ||
|  | <dd> | ||
|  | <a class="el" href="a00256.html" title="Provides transformation functions for quaternion types. ">GLM_EXT_quaternion_transform</a> </dd></dl> | ||
|  | <h2 class="groupheader">Function Documentation</h2> | ||
|  | <a class="anchor" id="ga10d7bda73201788ac2ab28cd8d0d409b"></a> | ||
|  | <div class="memitem"> | ||
|  | <div class="memproto"> | ||
|  |       <table class="memname"> | ||
|  |         <tr> | ||
|  |           <td class="memname">GLM_FUNC_DECL qua<T, Q> glm::conjugate </td> | ||
|  |           <td>(</td> | ||
|  |           <td class="paramtype">qua< T, Q > const & </td> | ||
|  |           <td class="paramname"><em>q</em></td><td>)</td> | ||
|  |           <td></td> | ||
|  |         </tr> | ||
|  |       </table> | ||
|  | </div><div class="memdoc"> | ||
|  | 
 | ||
|  | <p>Returns the q conjugate. </p> | ||
|  | <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> | ||
|  | </div> | ||
|  | <a class="anchor" id="gab41da854ae678e23e114b598cbca4065"></a> | ||
|  | <div class="memitem"> | ||
|  | <div class="memproto"> | ||
|  |       <table class="memname"> | ||
|  |         <tr> | ||
|  |           <td class="memname">GLM_FUNC_DECL qua<T, Q> glm::inverse </td> | ||
|  |           <td>(</td> | ||
|  |           <td class="paramtype">qua< T, Q > const & </td> | ||
|  |           <td class="paramname"><em>q</em></td><td>)</td> | ||
|  |           <td></td> | ||
|  |         </tr> | ||
|  |       </table> | ||
|  | </div><div class="memdoc"> | ||
|  | 
 | ||
|  | <p>Returns the q inverse. </p> | ||
|  | <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> | ||
|  | </div> | ||
|  | <a class="anchor" id="ga45722741ea266b4e861938b365c5f362"></a> | ||
|  | <div class="memitem"> | ||
|  | <div class="memproto"> | ||
|  |       <table class="memname"> | ||
|  |         <tr> | ||
|  |           <td class="memname">GLM_FUNC_DECL vec<4, bool, Q> glm::isinf </td> | ||
|  |           <td>(</td> | ||
|  |           <td class="paramtype">qua< T, Q > const & </td> | ||
|  |           <td class="paramname"><em>x</em></td><td>)</td> | ||
|  |           <td></td> | ||
|  |         </tr> | ||
|  |       </table> | ||
|  | </div><div class="memdoc"> | ||
|  | 
 | ||
|  | <p>Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations. </p> | ||
|  | <p>Returns false otherwise, including for implementations with no infinity representations.</p> | ||
|  | <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> | ||
|  | </div> | ||
|  | <a class="anchor" id="ga1bb55f8963616502e96dc564384d8a03"></a> | ||
|  | <div class="memitem"> | ||
|  | <div class="memproto"> | ||
|  |       <table class="memname"> | ||
|  |         <tr> | ||
|  |           <td class="memname">GLM_FUNC_DECL vec<4, bool, Q> glm::isnan </td> | ||
|  |           <td>(</td> | ||
|  |           <td class="paramtype">qua< T, Q > const & </td> | ||
|  |           <td class="paramname"><em>x</em></td><td>)</td> | ||
|  |           <td></td> | ||
|  |         </tr> | ||
|  |       </table> | ||
|  | </div><div class="memdoc"> | ||
|  | 
 | ||
|  | <p>Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations. </p> | ||
|  | <p>Returns false otherwise, including for implementations with no NaN representations.</p> | ||
|  | <p>/!\ When using compiler fast math, this function may fail.</p> | ||
|  | <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> | ||
|  | </div> | ||
|  | <a class="anchor" id="ga6033dc0741051fa463a0a147ba29f293"></a> | ||
|  | <div class="memitem"> | ||
|  | <div class="memproto"> | ||
|  |       <table class="memname"> | ||
|  |         <tr> | ||
|  |           <td class="memname">GLM_FUNC_DECL qua<T, Q> glm::lerp </td> | ||
|  |           <td>(</td> | ||
|  |           <td class="paramtype">qua< T, Q > const & </td> | ||
|  |           <td class="paramname"><em>x</em>, </td> | ||
|  |         </tr> | ||
|  |         <tr> | ||
|  |           <td class="paramkey"></td> | ||
|  |           <td></td> | ||
|  |           <td class="paramtype">qua< T, Q > const & </td> | ||
|  |           <td class="paramname"><em>y</em>, </td> | ||
|  |         </tr> | ||
|  |         <tr> | ||
|  |           <td class="paramkey"></td> | ||
|  |           <td></td> | ||
|  |           <td class="paramtype">T </td> | ||
|  |           <td class="paramname"><em>a</em> </td> | ||
|  |         </tr> | ||
|  |         <tr> | ||
|  |           <td></td> | ||
|  |           <td>)</td> | ||
|  |           <td></td><td></td> | ||
|  |         </tr> | ||
|  |       </table> | ||
|  | </div><div class="memdoc"> | ||
|  | 
 | ||
|  | <p>Linear interpolation of two quaternions. </p> | ||
|  | <p>The interpolation is oriented.</p> | ||
|  | <dl class="params"><dt>Parameters</dt><dd> | ||
|  |   <table class="params"> | ||
|  |     <tr><td class="paramname">x</td><td>A quaternion </td></tr> | ||
|  |     <tr><td class="paramname">y</td><td>A quaternion </td></tr> | ||
|  |     <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined in the range [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> | ||
|  | 
 | ||
|  | </div> | ||
|  | </div> | ||
|  | <a class="anchor" id="gafbfe587b8da11fb89a30c3d67dd5ccc2"></a> | ||
|  | <div class="memitem"> | ||
|  | <div class="memproto"> | ||
|  |       <table class="memname"> | ||
|  |         <tr> | ||
|  |           <td class="memname">GLM_FUNC_DECL qua<T, Q> glm::mix </td> | ||
|  |           <td>(</td> | ||
|  |           <td class="paramtype">qua< T, Q > const & </td> | ||
|  |           <td class="paramname"><em>x</em>, </td> | ||
|  |         </tr> | ||
|  |         <tr> | ||
|  |           <td class="paramkey"></td> | ||
|  |           <td></td> | ||
|  |           <td class="paramtype">qua< T, Q > const & </td> | ||
|  |           <td class="paramname"><em>y</em>, </td> | ||
|  |         </tr> | ||
|  |         <tr> | ||
|  |           <td class="paramkey"></td> | ||
|  |           <td></td> | ||
|  |           <td class="paramtype">T </td> | ||
|  |           <td class="paramname"><em>a</em> </td> | ||
|  |         </tr> | ||
|  |         <tr> | ||
|  |           <td></td> | ||
|  |           <td>)</td> | ||
|  |           <td></td><td></td> | ||
|  |         </tr> | ||
|  |       </table> | ||
|  | </div><div class="memdoc"> | ||
|  | 
 | ||
|  | <p>Spherical linear interpolation of two quaternions. </p> | ||
|  | <p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p> | ||
|  | <dl class="params"><dt>Parameters</dt><dd> | ||
|  |   <table class="params"> | ||
|  |     <tr><td class="paramname">x</td><td>A quaternion </td></tr> | ||
|  |     <tr><td class="paramname">y</td><td>A quaternion </td></tr> | ||
|  |     <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [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>- slerp(qua<T, Q> const& x, qua<T, Q> const& y, T const& a) </dd></dl> | ||
|  | 
 | ||
|  | </div> | ||
|  | </div> | ||
|  | <a class="anchor" id="gae7fc3c945be366b9942b842f55da428a"></a> | ||
|  | <div class="memitem"> | ||
|  | <div class="memproto"> | ||
|  |       <table class="memname"> | ||
|  |         <tr> | ||
|  |           <td class="memname">GLM_FUNC_DECL qua<T, Q> glm::slerp </td> | ||
|  |           <td>(</td> | ||
|  |           <td class="paramtype">qua< T, Q > const & </td> | ||
|  |           <td class="paramname"><em>x</em>, </td> | ||
|  |         </tr> | ||
|  |         <tr> | ||
|  |           <td class="paramkey"></td> | ||
|  |           <td></td> | ||
|  |           <td class="paramtype">qua< T, Q > const & </td> | ||
|  |           <td class="paramname"><em>y</em>, </td> | ||
|  |         </tr> | ||
|  |         <tr> | ||
|  |           <td class="paramkey"></td> | ||
|  |           <td></td> | ||
|  |           <td class="paramtype">T </td> | ||
|  |           <td class="paramname"><em>a</em> </td> | ||
|  |         </tr> | ||
|  |         <tr> | ||
|  |           <td></td> | ||
|  |           <td>)</td> | ||
|  |           <td></td><td></td> | ||
|  |         </tr> | ||
|  |       </table> | ||
|  | </div><div class="memdoc"> | ||
|  | 
 | ||
|  | <p>Spherical linear interpolation of two quaternions. </p> | ||
|  | <p>The interpolation always take the short path and the rotation is performed at constant speed.</p> | ||
|  | <dl class="params"><dt>Parameters</dt><dd> | ||
|  |   <table class="params"> | ||
|  |     <tr><td class="paramname">x</td><td>A quaternion </td></tr> | ||
|  |     <tr><td class="paramname">y</td><td>A quaternion </td></tr> | ||
|  |     <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [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> | ||
|  | 
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