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<div class="header">  <div class="summary"><a href="#func-members">Functions</a>  </div>  <div class="headertitle"><div class="title">Geometric functions<div class="ingroups"><a class="el" href="a00698.html">Core features</a></div></div>  </div></div><!--header--><div class="contents"><table class="memberdecls"><tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>Functions</h2></td></tr><tr class="memitem:gaeeec0794212fe84fc9d261de067c9587"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr><tr class="memitem:gaeeec0794212fe84fc9d261de067c9587"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 3, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00697.html#gaeeec0794212fe84fc9d261de067c9587">cross</a> (vec&lt; 3, T, Q &gt; const &amp;x, vec&lt; 3, T, Q &gt; const &amp;y)</td></tr><tr class="separator:gaeeec0794212fe84fc9d261de067c9587"><td class="memSeparator" colspan="2">&#160;</td></tr><tr class="memitem:gaa68de6c53e20dfb2dac2d20197562e3f"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr><tr class="memitem:gaa68de6c53e20dfb2dac2d20197562e3f"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00697.html#gaa68de6c53e20dfb2dac2d20197562e3f">distance</a> (vec&lt; L, T, Q &gt; const &amp;p0, vec&lt; L, T, Q &gt; const &amp;p1)</td></tr><tr class="separator:gaa68de6c53e20dfb2dac2d20197562e3f"><td class="memSeparator" colspan="2">&#160;</td></tr><tr class="memitem:gaad6c5d9d39bdc0bf43baf1b22e147a0a"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr><tr class="memitem:gaad6c5d9d39bdc0bf43baf1b22e147a0a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00697.html#gaad6c5d9d39bdc0bf43baf1b22e147a0a">dot</a> (vec&lt; L, T, Q &gt; const &amp;x, vec&lt; L, T, Q &gt; const &amp;y)</td></tr><tr class="separator:gaad6c5d9d39bdc0bf43baf1b22e147a0a"><td class="memSeparator" colspan="2">&#160;</td></tr><tr class="memitem:ga7aed0a36c738169402404a3a5d54e43b"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr><tr class="memitem:ga7aed0a36c738169402404a3a5d54e43b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00697.html#ga7aed0a36c738169402404a3a5d54e43b">faceforward</a> (vec&lt; L, T, Q &gt; const &amp;N, vec&lt; L, T, Q &gt; const &amp;I, vec&lt; L, T, Q &gt; const &amp;Nref)</td></tr><tr class="separator:ga7aed0a36c738169402404a3a5d54e43b"><td class="memSeparator" colspan="2">&#160;</td></tr><tr class="memitem:ga0cdabbb000834d994a1d6dc56f8f5263"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr><tr class="memitem:ga0cdabbb000834d994a1d6dc56f8f5263"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00697.html#ga0cdabbb000834d994a1d6dc56f8f5263">length</a> (vec&lt; L, T, Q &gt; const &amp;x)</td></tr><tr class="separator:ga0cdabbb000834d994a1d6dc56f8f5263"><td class="memSeparator" colspan="2">&#160;</td></tr><tr class="memitem:ga3b8d3dcae77870781392ed2902cce597"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr><tr class="memitem:ga3b8d3dcae77870781392ed2902cce597"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00697.html#ga3b8d3dcae77870781392ed2902cce597">normalize</a> (vec&lt; L, T, Q &gt; const &amp;x)</td></tr><tr class="separator:ga3b8d3dcae77870781392ed2902cce597"><td class="memSeparator" colspan="2">&#160;</td></tr><tr class="memitem:ga5631dd1d5618de5450b1ea3cf3e94905"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr><tr class="memitem:ga5631dd1d5618de5450b1ea3cf3e94905"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00697.html#ga5631dd1d5618de5450b1ea3cf3e94905">reflect</a> (vec&lt; L, T, Q &gt; const &amp;I, vec&lt; L, T, Q &gt; const &amp;N)</td></tr><tr class="separator:ga5631dd1d5618de5450b1ea3cf3e94905"><td class="memSeparator" colspan="2">&#160;</td></tr><tr class="memitem:ga01da3dff9e2ef6b9d4915c3047e22b74"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr><tr class="memitem:ga01da3dff9e2ef6b9d4915c3047e22b74"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00697.html#ga01da3dff9e2ef6b9d4915c3047e22b74">refract</a> (vec&lt; L, T, Q &gt; const &amp;I, vec&lt; L, T, Q &gt; const &amp;N, T eta)</td></tr><tr class="separator:ga01da3dff9e2ef6b9d4915c3047e22b74"><td class="memSeparator" colspan="2">&#160;</td></tr></table><a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2><p>These operate on vectors as vectors, not component-wise. </p><p>Include &lt;<a class="el" href="a00383.html" title="Core features ">glm/geometric.hpp</a>&gt; to use these core features. </p><h2 class="groupheader">Function Documentation</h2><a id="gaeeec0794212fe84fc9d261de067c9587"></a><h2 class="memtitle"><span class="permalink"><a href="#gaeeec0794212fe84fc9d261de067c9587">&#9670;&nbsp;</a></span>cross()</h2>
<div class="memitem"><div class="memproto">      <table class="memname">        <tr>          <td class="memname">GLM_FUNC_DECL vec&lt;3, T, Q&gt; glm::cross </td>          <td>(</td>          <td class="paramtype">vec&lt; 3, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>x</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>y</em>&#160;</td>        </tr>        <tr>          <td></td>          <td>)</td>          <td></td><td></td>        </tr>      </table></div><div class="memdoc">
<p>Returns the cross product of x and y. </p><dl class="tparams"><dt>Template Parameters</dt><dd>  <table class="tparams">    <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>  </table>  </dd></dl><dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cross.xml">GLSL cross man page</a> </dd><dd><a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
</div></div><a id="gaa68de6c53e20dfb2dac2d20197562e3f"></a><h2 class="memtitle"><span class="permalink"><a href="#gaa68de6c53e20dfb2dac2d20197562e3f">&#9670;&nbsp;</a></span>distance()</h2>
<div class="memitem"><div class="memproto">      <table class="memname">        <tr>          <td class="memname">GLM_FUNC_DECL T glm::distance </td>          <td>(</td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>p0</em>, </td>        </tr>        <tr>          <td class="paramkey"></td>          <td></td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>p1</em>&#160;</td>        </tr>        <tr>          <td></td>          <td>)</td>          <td></td><td></td>        </tr>      </table></div><div class="memdoc">
<p>Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). </p><dl class="tparams"><dt>Template Parameters</dt><dd>  <table class="tparams">    <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>    <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>  </table>  </dd></dl><dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/distance.xml">GLSL distance man page</a> </dd><dd><a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
</div></div><a id="gaad6c5d9d39bdc0bf43baf1b22e147a0a"></a><h2 class="memtitle"><span class="permalink"><a href="#gaad6c5d9d39bdc0bf43baf1b22e147a0a">&#9670;&nbsp;</a></span>dot()</h2>
<div class="memitem"><div class="memproto">      <table class="memname">        <tr>          <td class="memname">GLM_FUNC_DECL T glm::dot </td>          <td>(</td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>x</em>, </td>        </tr>        <tr>          <td class="paramkey"></td>          <td></td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>y</em>&#160;</td>        </tr>        <tr>          <td></td>          <td>)</td>          <td></td><td></td>        </tr>      </table></div><div class="memdoc">
<p>Returns the dot product of x and y, i.e., result = x * y. </p><dl class="tparams"><dt>Template Parameters</dt><dd>  <table class="tparams">    <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>    <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>  </table>  </dd></dl><dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/dot.xml">GLSL dot man page</a> </dd><dd><a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
</div></div><a id="ga7aed0a36c738169402404a3a5d54e43b"></a><h2 class="memtitle"><span class="permalink"><a href="#ga7aed0a36c738169402404a3a5d54e43b">&#9670;&nbsp;</a></span>faceforward()</h2>
<div class="memitem"><div class="memproto">      <table class="memname">        <tr>          <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::faceforward </td>          <td>(</td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>N</em>, </td>        </tr>        <tr>          <td class="paramkey"></td>          <td></td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>I</em>, </td>        </tr>        <tr>          <td class="paramkey"></td>          <td></td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>Nref</em>&#160;</td>        </tr>        <tr>          <td></td>          <td>)</td>          <td></td><td></td>        </tr>      </table></div><div class="memdoc">
<p>If dot(Nref, I) &lt; 0.0, return N, otherwise, return -N. </p><dl class="tparams"><dt>Template Parameters</dt><dd>  <table class="tparams">    <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>    <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>  </table>  </dd></dl><dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/faceforward.xml">GLSL faceforward man page</a> </dd><dd><a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
</div></div><a id="ga0cdabbb000834d994a1d6dc56f8f5263"></a><h2 class="memtitle"><span class="permalink"><a href="#ga0cdabbb000834d994a1d6dc56f8f5263">&#9670;&nbsp;</a></span>length()</h2>
<div class="memitem"><div class="memproto">      <table class="memname">        <tr>          <td class="memname">GLM_FUNC_DECL T glm::length </td>          <td>(</td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>x</em></td><td>)</td>          <td></td>        </tr>      </table></div><div class="memdoc">
<p>Returns the length of x, i.e., sqrt(x * x). </p><dl class="tparams"><dt>Template Parameters</dt><dd>  <table class="tparams">    <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>    <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>  </table>  </dd></dl><dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/length.xml">GLSL length man page</a> </dd><dd><a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
</div></div><a id="ga3b8d3dcae77870781392ed2902cce597"></a><h2 class="memtitle"><span class="permalink"><a href="#ga3b8d3dcae77870781392ed2902cce597">&#9670;&nbsp;</a></span>normalize()</h2>
<div class="memitem"><div class="memproto">      <table class="memname">        <tr>          <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::normalize </td>          <td>(</td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>x</em></td><td>)</td>          <td></td>        </tr>      </table></div><div class="memdoc">
<p>Returns a vector in the same direction as x but with length of 1. </p><p>According to issue 10 GLSL 1.10 specification, if length(x) == 0 then result is undefined and generate an error.</p><dl class="tparams"><dt>Template Parameters</dt><dd>  <table class="tparams">    <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>    <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>  </table>  </dd></dl><dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/normalize.xml">GLSL normalize man page</a> </dd><dd><a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
</div></div><a id="ga5631dd1d5618de5450b1ea3cf3e94905"></a><h2 class="memtitle"><span class="permalink"><a href="#ga5631dd1d5618de5450b1ea3cf3e94905">&#9670;&nbsp;</a></span>reflect()</h2>
<div class="memitem"><div class="memproto">      <table class="memname">        <tr>          <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::reflect </td>          <td>(</td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>I</em>, </td>        </tr>        <tr>          <td class="paramkey"></td>          <td></td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>N</em>&#160;</td>        </tr>        <tr>          <td></td>          <td>)</td>          <td></td><td></td>        </tr>      </table></div><div class="memdoc">
<p>For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. </p><dl class="tparams"><dt>Template Parameters</dt><dd>  <table class="tparams">    <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>    <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>  </table>  </dd></dl><dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/reflect.xml">GLSL reflect man page</a> </dd><dd><a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
</div></div><a id="ga01da3dff9e2ef6b9d4915c3047e22b74"></a><h2 class="memtitle"><span class="permalink"><a href="#ga01da3dff9e2ef6b9d4915c3047e22b74">&#9670;&nbsp;</a></span>refract()</h2>
<div class="memitem"><div class="memproto">      <table class="memname">        <tr>          <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::refract </td>          <td>(</td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>I</em>, </td>        </tr>        <tr>          <td class="paramkey"></td>          <td></td>          <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>          <td class="paramname"><em>N</em>, </td>        </tr>        <tr>          <td class="paramkey"></td>          <td></td>          <td class="paramtype">T&#160;</td>          <td class="paramname"><em>eta</em>&#160;</td>        </tr>        <tr>          <td></td>          <td>)</td>          <td></td><td></td>        </tr>      </table></div><div class="memdoc">
<p>For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. </p><dl class="tparams"><dt>Template Parameters</dt><dd>  <table class="tparams">    <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>    <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>  </table>  </dd></dl><dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/refract.xml">GLSL refract man page</a> </dd><dd><a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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