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<a href="#func-members">Functions</a> </div>
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<div class="title">Geometric functions<div class="ingroups"><a class="el" href="a00158.html">GLM Core</a></div></div> </div>
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<p>These operate on vectors as vectors, not component-wise.
<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:gaf48bb3113e27775dfa907960a6927d33"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
<tr class="memitem:gaf48bb3113e27775dfa907960a6927d33"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 3, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#gaf48bb3113e27775dfa907960a6927d33">cross</a> (vec&lt; 3, T, P &gt; const &amp;x, vec&lt; 3, T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:gaf48bb3113e27775dfa907960a6927d33"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the cross product of x and y. <a href="a00150.html#gaf48bb3113e27775dfa907960a6927d33">More...</a><br /></td></tr>
<tr class="separator:gaf48bb3113e27775dfa907960a6927d33"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gadb370a015ab4c544ddd2cb0b2ea1cec8"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
<tr class="memitem:gadb370a015ab4c544ddd2cb0b2ea1cec8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#gadb370a015ab4c544ddd2cb0b2ea1cec8">distance</a> (vec&lt; L, T, P &gt; const &amp;p0, vec&lt; L, T, P &gt; const &amp;p1)</td></tr>
<tr class="memdesc:gadb370a015ab4c544ddd2cb0b2ea1cec8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). <a href="a00150.html#gadb370a015ab4c544ddd2cb0b2ea1cec8">More...</a><br /></td></tr>
<tr class="separator:gadb370a015ab4c544ddd2cb0b2ea1cec8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
<tr class="memitem:gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7">dot</a> (vec&lt; L, T, P &gt; const &amp;x, vec&lt; L, T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of x and y, i.e., result = x * y. <a href="a00150.html#gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7">More...</a><br /></td></tr>
<tr class="separator:gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga4b1a93be2515b8de5ba413eb636396da"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
<tr class="memitem:ga4b1a93be2515b8de5ba413eb636396da"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#ga4b1a93be2515b8de5ba413eb636396da">faceforward</a> (vec&lt; L, T, P &gt; const &amp;N, vec&lt; L, T, P &gt; const &amp;I, vec&lt; L, T, P &gt; const &amp;Nref)</td></tr>
<tr class="memdesc:ga4b1a93be2515b8de5ba413eb636396da"><td class="mdescLeft">&#160;</td><td class="mdescRight">If dot(Nref, I) &lt; 0.0, return N, otherwise, return -N. <a href="a00150.html#ga4b1a93be2515b8de5ba413eb636396da">More...</a><br /></td></tr>
<tr class="separator:ga4b1a93be2515b8de5ba413eb636396da"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga9363516a0cffaa7c44adea39d2b0334d"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
<tr class="memitem:ga9363516a0cffaa7c44adea39d2b0334d"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#ga9363516a0cffaa7c44adea39d2b0334d">length</a> (vec&lt; L, T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga9363516a0cffaa7c44adea39d2b0334d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of x, i.e., sqrt(x * x). <a href="a00150.html#ga9363516a0cffaa7c44adea39d2b0334d">More...</a><br /></td></tr>
<tr class="separator:ga9363516a0cffaa7c44adea39d2b0334d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga8263c6c2b8ff1719c89728d643bba27a"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
<tr class="memitem:ga8263c6c2b8ff1719c89728d643bba27a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#ga8263c6c2b8ff1719c89728d643bba27a">normalize</a> (vec&lt; L, T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga8263c6c2b8ff1719c89728d643bba27a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns a vector in the same direction as x but with length of 1. <a href="a00150.html#ga8263c6c2b8ff1719c89728d643bba27a">More...</a><br /></td></tr>
<tr class="separator:ga8263c6c2b8ff1719c89728d643bba27a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gad0ef4d78d209c4a3f90b9df53afa23a9"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
<tr class="memitem:gad0ef4d78d209c4a3f90b9df53afa23a9"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#gad0ef4d78d209c4a3f90b9df53afa23a9">reflect</a> (vec&lt; L, T, P &gt; const &amp;I, vec&lt; L, T, P &gt; const &amp;N)</td></tr>
<tr class="memdesc:gad0ef4d78d209c4a3f90b9df53afa23a9"><td class="mdescLeft">&#160;</td><td class="mdescRight">For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. <a href="a00150.html#gad0ef4d78d209c4a3f90b9df53afa23a9">More...</a><br /></td></tr>
<tr class="separator:gad0ef4d78d209c4a3f90b9df53afa23a9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gae7fdf06db18e429a29c7d4169e8459be"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
<tr class="memitem:gae7fdf06db18e429a29c7d4169e8459be"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#gae7fdf06db18e429a29c7d4169e8459be">refract</a> (vec&lt; L, T, P &gt; const &amp;I, vec&lt; L, T, P &gt; const &amp;N, T eta)</td></tr>
<tr class="memdesc:gae7fdf06db18e429a29c7d4169e8459be"><td class="mdescLeft">&#160;</td><td class="mdescRight">For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. <a href="a00150.html#gae7fdf06db18e429a29c7d4169e8459be">More...</a><br /></td></tr>
<tr class="separator:gae7fdf06db18e429a29c7d4169e8459be"><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>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="gaf48bb3113e27775dfa907960a6927d33"></a>
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<td class="memname">GLM_FUNC_DECL vec&lt;3, T, P&gt; glm::cross </td>
<td>(</td>
<td class="paramtype">vec&lt; 3, T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<td class="paramname"><em>y</em>&#160;</td>
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<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>
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<td class="memname">GLM_FUNC_DECL T glm::distance </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>p0</em>, </td>
</tr>
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<td class="paramkey"></td>
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<td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
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<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>
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<td class="memname">GLM_FUNC_DECL T glm::dot </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<td class="paramname"><em>y</em>&#160;</td>
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<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>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, P&gt; glm::faceforward </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, P &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, P &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, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>Nref</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
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<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>
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</div>
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<td class="memname">GLM_FUNC_DECL T glm::length </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
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<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>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, P&gt; glm::normalize </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<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>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, P&gt; glm::reflect </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, P &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, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>N</em>&#160;</td>
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<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>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, P&gt; glm::refract </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>I</em>, </td>
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<td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>N</em>, </td>
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<td class="paramtype">T&#160;</td>
<td class="paramname"><em>eta</em>&#160;</td>
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<td>)</td>
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<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>
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<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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