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<div class="header">
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<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">Geometric functions<div class="ingroups"><a class="el" href="a00280.html">Core features</a></div></div> </div>
</div><!--header-->
<div class="contents">
<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:gaeeec0794212fe84fc9d261de067c9587"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
<tr class="memitem:gaeeec0794212fe84fc9d261de067c9587"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 3, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00279.html#gaeeec0794212fe84fc9d261de067c9587">cross</a> (vec< 3, T, Q > const &x, vec< 3, T, Q > const &y)</td></tr>
<tr class="memdesc:gaeeec0794212fe84fc9d261de067c9587"><td class="mdescLeft"> </td><td class="mdescRight">Returns the cross product of x and y. <a href="a00279.html#gaeeec0794212fe84fc9d261de067c9587">More...</a><br /></td></tr>
<tr class="separator:gaeeec0794212fe84fc9d261de067c9587"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaa68de6c53e20dfb2dac2d20197562e3f"><td class="memTemplParams" colspan="2">template<length_t L, typename T , qualifier Q> </td></tr>
<tr class="memitem:gaa68de6c53e20dfb2dac2d20197562e3f"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00279.html#gaa68de6c53e20dfb2dac2d20197562e3f">distance</a> (vec< L, T, Q > const &p0, vec< L, T, Q > const &p1)</td></tr>
<tr class="memdesc:gaa68de6c53e20dfb2dac2d20197562e3f"><td class="mdescLeft"> </td><td class="mdescRight">Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). <a href="a00279.html#gaa68de6c53e20dfb2dac2d20197562e3f">More...</a><br /></td></tr>
<tr class="separator:gaa68de6c53e20dfb2dac2d20197562e3f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaad6c5d9d39bdc0bf43baf1b22e147a0a"><td class="memTemplParams" colspan="2">template<length_t L, typename T , qualifier Q> </td></tr>
<tr class="memitem:gaad6c5d9d39bdc0bf43baf1b22e147a0a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00279.html#gaad6c5d9d39bdc0bf43baf1b22e147a0a">dot</a> (vec< L, T, Q > const &x, vec< L, T, Q > const &y)</td></tr>
<tr class="memdesc:gaad6c5d9d39bdc0bf43baf1b22e147a0a"><td class="mdescLeft"> </td><td class="mdescRight">Returns the dot product of x and y, i.e., result = x * y. <a href="a00279.html#gaad6c5d9d39bdc0bf43baf1b22e147a0a">More...</a><br /></td></tr>
<tr class="separator:gaad6c5d9d39bdc0bf43baf1b22e147a0a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga7aed0a36c738169402404a3a5d54e43b"><td class="memTemplParams" colspan="2">template<length_t L, typename T , qualifier Q> </td></tr>
<tr class="memitem:ga7aed0a36c738169402404a3a5d54e43b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< L, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00279.html#ga7aed0a36c738169402404a3a5d54e43b">faceforward</a> (vec< L, T, Q > const &N, vec< L, T, Q > const &I, vec< L, T, Q > const &Nref)</td></tr>
<tr class="memdesc:ga7aed0a36c738169402404a3a5d54e43b"><td class="mdescLeft"> </td><td class="mdescRight">If dot(Nref, I) < 0.0, return N, otherwise, return -N. <a href="a00279.html#ga7aed0a36c738169402404a3a5d54e43b">More...</a><br /></td></tr>
<tr class="separator:ga7aed0a36c738169402404a3a5d54e43b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga0cdabbb000834d994a1d6dc56f8f5263"><td class="memTemplParams" colspan="2">template<length_t L, typename T , qualifier Q> </td></tr>
<tr class="memitem:ga0cdabbb000834d994a1d6dc56f8f5263"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00279.html#ga0cdabbb000834d994a1d6dc56f8f5263">length</a> (vec< L, T, Q > const &x)</td></tr>
<tr class="memdesc:ga0cdabbb000834d994a1d6dc56f8f5263"><td class="mdescLeft"> </td><td class="mdescRight">Returns the length of x, i.e., sqrt(x * x). <a href="a00279.html#ga0cdabbb000834d994a1d6dc56f8f5263">More...</a><br /></td></tr>
<tr class="separator:ga0cdabbb000834d994a1d6dc56f8f5263"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga3b8d3dcae77870781392ed2902cce597"><td class="memTemplParams" colspan="2">template<length_t L, typename T , qualifier Q> </td></tr>
<tr class="memitem:ga3b8d3dcae77870781392ed2902cce597"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< L, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00279.html#ga3b8d3dcae77870781392ed2902cce597">normalize</a> (vec< L, T, Q > const &x)</td></tr>
<tr class="memdesc:ga3b8d3dcae77870781392ed2902cce597"><td class="mdescLeft"> </td><td class="mdescRight">Returns a vector in the same direction as x but with length of 1. <a href="a00279.html#ga3b8d3dcae77870781392ed2902cce597">More...</a><br /></td></tr>
<tr class="separator:ga3b8d3dcae77870781392ed2902cce597"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga5631dd1d5618de5450b1ea3cf3e94905"><td class="memTemplParams" colspan="2">template<length_t L, typename T , qualifier Q> </td></tr>
<tr class="memitem:ga5631dd1d5618de5450b1ea3cf3e94905"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< L, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00279.html#ga5631dd1d5618de5450b1ea3cf3e94905">reflect</a> (vec< L, T, Q > const &I, vec< L, T, Q > const &N)</td></tr>
<tr class="memdesc:ga5631dd1d5618de5450b1ea3cf3e94905"><td class="mdescLeft"> </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="a00279.html#ga5631dd1d5618de5450b1ea3cf3e94905">More...</a><br /></td></tr>
<tr class="separator:ga5631dd1d5618de5450b1ea3cf3e94905"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga01da3dff9e2ef6b9d4915c3047e22b74"><td class="memTemplParams" colspan="2">template<length_t L, typename T , qualifier Q> </td></tr>
<tr class="memitem:ga01da3dff9e2ef6b9d4915c3047e22b74"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< L, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00279.html#ga01da3dff9e2ef6b9d4915c3047e22b74">refract</a> (vec< L, T, Q > const &I, vec< L, T, Q > const &N, T eta)</td></tr>
<tr class="memdesc:ga01da3dff9e2ef6b9d4915c3047e22b74"><td class="mdescLeft"> </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="a00279.html#ga01da3dff9e2ef6b9d4915c3047e22b74">More...</a><br /></td></tr>
<tr class="separator:ga01da3dff9e2ef6b9d4915c3047e22b74"><td class="memSeparator" colspan="2"> </td></tr>
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<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 <<a class="el" href="a00036.html" title="Core features ">glm/geometric.hpp</a>> to use these core features. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="gaeeec0794212fe84fc9d261de067c9587"></a>
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<td class="memname">GLM_FUNC_DECL vec<3, T, Q> glm::cross </td>
<td>(</td>
<td class="paramtype">vec< 3, T, Q > const & </td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vec< 3, T, Q > const & </td>
<td class="paramname"><em>y</em> </td>
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<td></td>
<td>)</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< L, T, Q > const & </td>
<td class="paramname"><em>p0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vec< L, T, Q > const & </td>
<td class="paramname"><em>p1</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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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< L, T, Q > const & </td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vec< L, T, Q > const & </td>
<td class="paramname"><em>y</em> </td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></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<L, T, Q> glm::faceforward </td>
<td>(</td>
<td class="paramtype">vec< L, T, Q > const & </td>
<td class="paramname"><em>N</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vec< L, T, Q > const & </td>
<td class="paramname"><em>I</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vec< L, T, Q > const & </td>
<td class="paramname"><em>Nref</em> </td>
</tr>
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<td></td>
<td>)</td>
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<p>If dot(Nref, I) < 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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<td class="memname">GLM_FUNC_DECL T glm::length </td>
<td>(</td>
<td class="paramtype">vec< L, T, Q > const & </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>(</td>
<td class="paramtype">vec< L, T, Q > const & </td>
<td class="paramname"><em>x</em></td><td>)</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<L, T, Q> glm::reflect </td>
<td>(</td>
<td class="paramtype">vec< L, T, Q > const & </td>
<td class="paramname"><em>I</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vec< L, T, Q > const & </td>
<td class="paramname"><em>N</em> </td>
</tr>
<tr>
<td></td>
<td>)</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<L, T, Q> glm::refract </td>
<td>(</td>
<td class="paramtype">vec< L, T, Q > const & </td>
<td class="paramname"><em>I</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vec< L, T, Q > const & </td>
<td class="paramname"><em>N</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">T </td>
<td class="paramname"><em>eta</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><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>
</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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