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<div class="header">
<div class="summary">
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
-<div class="title">Integer functions<div class="ingroups"><a class="el" href="a00155.html">GLM Core</a></div></div> </div>
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<div class="contents">
-
-<p>These all operate component-wise.
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
-<tr class="memitem:ga44abfe3379e11cbd29425a843420d0d6"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
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-<tr class="memitem:ga1f29640969a3c54564da06ac67a5392e"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
-<tr class="memitem:ga1f29640969a3c54564da06ac67a5392e"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; int, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#ga1f29640969a3c54564da06ac67a5392e">bitCount</a> (vecType&lt; T, P &gt; const &amp;v)</td></tr>
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-<tr class="separator:gab84b88f3a8e367774e5dd1c618c353cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga5681dfac9239beb1b8bd995e3c6496d7"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
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-<tr class="separator:ga5681dfac9239beb1b8bd995e3c6496d7"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<tr class="memdesc:gaf74c4d969fa34ab8acb9d390f5ca5274"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the bit number of the least significant bit set to 1 in the binary representation of value. <a href="a00148.html#gaf74c4d969fa34ab8acb9d390f5ca5274">More...</a><br /></td></tr>
-<tr class="separator:gaf74c4d969fa34ab8acb9d390f5ca5274"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<tr class="memdesc:ga014a72009e68233c34c06a6dc2251b8c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the bit number of the least significant bit set to 1 in the binary representation of value. <a href="a00148.html#ga014a72009e68233c34c06a6dc2251b8c">More...</a><br /></td></tr>
-<tr class="separator:ga014a72009e68233c34c06a6dc2251b8c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<tr class="memdesc:ga7e4a794d766861c70bc961630f8ef621"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the bit number of the most significant bit in the binary representation of value. <a href="a00148.html#ga7e4a794d766861c70bc961630f8ef621">More...</a><br /></td></tr>
-<tr class="separator:ga7e4a794d766861c70bc961630f8ef621"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga433104d77ec2ba58888aaefb77e9183f"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
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-<tr class="memdesc:ga433104d77ec2ba58888aaefb77e9183f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the bit number of the most significant bit in the binary representation of value. <a href="a00148.html#ga433104d77ec2ba58888aaefb77e9183f">More...</a><br /></td></tr>
-<tr class="separator:ga433104d77ec2ba58888aaefb77e9183f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<tr class="memdesc:ga6e6e8b29ca40d8ca2df10b58ed17d426"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies 32-bit integers x and y, producing a 64-bit result. <a href="a00148.html#ga6e6e8b29ca40d8ca2df10b58ed17d426">More...</a><br /></td></tr>
-<tr class="separator:ga6e6e8b29ca40d8ca2df10b58ed17d426"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<tr class="separator:ga2fc1a46e7b7e9fbbd8fa444fbacaa2aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga456ff9dcec42f6769a9ae2a2af7f1ce1"><td class="memTemplParams" colspan="2">template&lt;precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
-<tr class="memitem:ga456ff9dcec42f6769a9ae2a2af7f1ce1"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#ga456ff9dcec42f6769a9ae2a2af7f1ce1">umulExtended</a> (vecType&lt; uint, P &gt; const &amp;x, vecType&lt; uint, P &gt; const &amp;y, vecType&lt; uint, P &gt; &amp;msb, vecType&lt; uint, P &gt; &amp;lsb)</td></tr>
-<tr class="memdesc:ga456ff9dcec42f6769a9ae2a2af7f1ce1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies 32-bit integers x and y, producing a 64-bit result. <a href="a00148.html#ga456ff9dcec42f6769a9ae2a2af7f1ce1">More...</a><br /></td></tr>
-<tr class="separator:ga456ff9dcec42f6769a9ae2a2af7f1ce1"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<tr class="memdesc:ga22a889bf08313b7e547e2cdb8bb15ee4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtracts the 32-bit unsigned integer y from x, returning the difference if non-negative, or pow(2, 32) plus the difference otherwise. <a href="a00148.html#ga22a889bf08313b7e547e2cdb8bb15ee4">More...</a><br /></td></tr>
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+<tr class="memitem:gada9451ec170a36fe53552812b9c03a68"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#gada9451ec170a36fe53552812b9c03a68">normalize</a> (vecType&lt; T, P &gt; const &amp;x)</td></tr>
+<tr class="separator:gada9451ec170a36fe53552812b9c03a68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
+<tr class="memitem:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#gab63646fc36b81cf69d3ce123a72f76f2">reflect</a> (genType const &amp;I, genType const &amp;N)</td></tr>
+<tr class="separator:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab7e7cdf4403931a5f7b74560ad64159b"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
+<tr class="memitem:gab7e7cdf4403931a5f7b74560ad64159b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#gab7e7cdf4403931a5f7b74560ad64159b">refract</a> (vecType&lt; T, P &gt; const &amp;I, vecType&lt; T, P &gt; const &amp;N, T eta)</td></tr>
+<tr class="separator:gab7e7cdf4403931a5f7b74560ad64159b"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
-<p>These all operate component-wise. </p>
-<p>The description is per component. The notation [a, b] means the set of bits from bit-number a through bit-number b, inclusive. The lowest-order bit is bit 0. </p>
+<p>These operate on vectors as vectors, not component-wise. </p>
<h2 class="groupheader">Function Documentation</h2>
-<a class="anchor" id="ga44abfe3379e11cbd29425a843420d0d6"></a>
+<a class="anchor" id="gafe2cae8cb26fd44be62aee97369d0af8"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
- <td class="memname">GLM_FUNC_DECL int glm::bitCount </td>
+ <td class="memname">GLM_FUNC_DECL tvec3&lt;T, P&gt; glm::cross </td>
<td>(</td>
- <td class="paramtype">genType&#160;</td>
- <td class="paramname"><em>v</em></td><td>)</td>
+ <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
+ <td class="paramname"><em>x</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
<td></td>
+ <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
+ <td class="paramname"><em>y</em>&#160;</td>
</tr>
- </table>
-</div><div class="memdoc">
-
-<p>Returns the number of bits set to 1 in the binary representation of value. </p>
-<dl class="tparams"><dt>Template Parameters</dt><dd>
- <table class="tparams">
- <tr><td class="paramname">T</td><td>Signed or unsigned integer scalar or vector 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/bitCount.xml">GLSL bitCount man page</a> </dd>
-<dd>
-<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a> </dd></dl>
-
-</div>
-</div>
-<a class="anchor" id="ga1f29640969a3c54564da06ac67a5392e"></a>
-<div class="memitem">
-<div class="memproto">
- <table class="memname">
<tr>
- <td class="memname">GLM_FUNC_DECL vecType&lt;int, P&gt; glm::bitCount </td>
- <td>(</td>
- <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>v</em></td><td>)</td>
<td></td>
+ <td>)</td>
+ <td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
-<p>Returns the number of bits set to 1 in the binary representation of value. </p>
+<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>Signed or unsigned integer scalar or vector types.</td></tr>
+ <tr><td class="paramname">valType</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/bitCount.xml">GLSL bitCount man page</a> </dd>
+<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 8.8 Integer Functions</a> </dd></dl>
+<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 class="anchor" id="gab84b88f3a8e367774e5dd1c618c353cf"></a>
+<a class="anchor" id="ga7ca317dde0d7e94d920153554d4a02a8"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
- <td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::bitfieldExtract </td>
+ <td class="memname">GLM_FUNC_DECL T glm::distance </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>Value</em>, </td>
+ <td class="paramname"><em>p0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
- <td class="paramtype">int&#160;</td>
- <td class="paramname"><em>Offset</em>, </td>
- </tr>
- <tr>
- <td class="paramkey"></td>
- <td></td>
- <td class="paramtype">int&#160;</td>
- <td class="paramname"><em>Bits</em>&#160;</td>
+ <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
+ <td class="paramname"><em>p1</em>&#160;</td>
</tr>
<tr>
<td></td>
@@ -228,48 +134,34 @@ Functions</h2></td></tr>
</table>
</div><div class="memdoc">
-<p>Extracts bits [offset, offset + bits - 1] from value, returning them in the least significant bits of the result. </p>
-<p>For unsigned data types, the most significant bits of the result will be set to zero. For signed data types, the most significant bits will be set to the value of bit offset + base - 1.</p>
-<p>If bits is zero, the result will be zero. The result will be undefined if offset or bits is negative, or if the sum of offset and bits is greater than the number of bits used to store the operand.</p>
+<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">T</td><td>Signed or unsigned integer scalar or vector types.</td></tr>
+ <tr><td class="paramname">genType</td><td>Floating-point vector 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/bitfieldExtract.xml">GLSL bitfieldExtract man page</a> </dd>
+<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 8.8 Integer Functions</a> </dd></dl>
+<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 class="anchor" id="ga5681dfac9239beb1b8bd995e3c6496d7"></a>
+<a class="anchor" id="ga7dada304da2ba7dd3376ab4f178c3f6b"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
- <td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::bitfieldInsert </td>
+ <td class="memname">GLM_FUNC_DECL T glm::dot </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>Base</em>, </td>
+ <td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>Insert</em>, </td>
- </tr>
- <tr>
- <td class="paramkey"></td>
- <td></td>
- <td class="paramtype">int&#160;</td>
- <td class="paramname"><em>Offset</em>, </td>
- </tr>
- <tr>
- <td class="paramkey"></td>
- <td></td>
- <td class="paramtype">int&#160;</td>
- <td class="paramname"><em>Bits</em>&#160;</td>
+ <td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
@@ -279,281 +171,126 @@ Functions</h2></td></tr>
</table>
</div><div class="memdoc">
-<p>Returns the insertion the bits least-significant bits of insert into base. </p>
-<p>The result will have bits [offset, offset + bits - 1] taken from bits [0, bits - 1] of insert, and all other bits taken directly from the corresponding bits of base. If bits is zero, the result will simply be base. The result will be undefined if offset or bits is negative, or if the sum of offset and bits is greater than the number of bits used to store the operand.</p>
+<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">T</td><td>Signed or unsigned integer scalar or vector types.</td></tr>
+ <tr><td class="paramname">genType</td><td>Floating-point vector 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/bitfieldInsert.xml">GLSL bitfieldInsert man page</a> </dd>
+<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 8.8 Integer Functions</a> </dd></dl>
+<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 class="anchor" id="ga153e7e8d0c035f83cce50fc3e580930f"></a>
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<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
- <td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::bitfieldReverse </td>
+ <td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::faceforward </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>v</em></td><td>)</td>
- <td></td>
+ <td class="paramname"><em>N</em>, </td>
</tr>
- </table>
-</div><div class="memdoc">
-
-<p>Returns the reversal of the bits of value. </p>
-<p>The bit numbered n of the result will be taken from bit (bits - 1) - n of value, where bits is the total number of bits used to represent value.</p>
-<dl class="tparams"><dt>Template Parameters</dt><dd>
- <table class="tparams">
- <tr><td class="paramname">T</td><td>Signed or unsigned integer scalar or vector 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/bitfieldReverse.xml">GLSL bitfieldReverse man page</a> </dd>
-<dd>
-<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a> </dd></dl>
-
-</div>
-</div>
-<a class="anchor" id="gaf74c4d969fa34ab8acb9d390f5ca5274"></a>
-<div class="memitem">
-<div class="memproto">
- <table class="memname">
<tr>
- <td class="memname">GLM_FUNC_DECL int glm::findLSB </td>
- <td>(</td>
- <td class="paramtype">genIUType&#160;</td>
- <td class="paramname"><em>x</em></td><td>)</td>
+ <td class="paramkey"></td>
<td></td>
- </tr>
- </table>
-</div><div class="memdoc">
-
-<p>Returns the bit number of the least significant bit set to 1 in the binary representation of value. </p>
-<p>If value is zero, -1 will be returned.</p>
-<dl class="tparams"><dt>Template Parameters</dt><dd>
- <table class="tparams">
- <tr><td class="paramname">T</td><td>Signed or unsigned integer 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/findLSB.xml">GLSL findLSB man page</a> </dd>
-<dd>
-<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a> </dd></dl>
-
-</div>
-</div>
-<a class="anchor" id="ga014a72009e68233c34c06a6dc2251b8c"></a>
-<div class="memitem">
-<div class="memproto">
- <table class="memname">
- <tr>
- <td class="memname">GLM_FUNC_DECL vecType&lt;int, P&gt; glm::findLSB </td>
- <td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>v</em></td><td>)</td>
- <td></td>
+ <td class="paramname"><em>I</em>, </td>
</tr>
- </table>
-</div><div class="memdoc">
-
-<p>Returns the bit number of the least significant bit set to 1 in the binary representation of value. </p>
-<p>If value is zero, -1 will be returned.</p>
-<dl class="tparams"><dt>Template Parameters</dt><dd>
- <table class="tparams">
- <tr><td class="paramname">T</td><td>Signed or unsigned integer 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/findLSB.xml">GLSL findLSB man page</a> </dd>
-<dd>
-<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a> </dd></dl>
-
-</div>
-</div>
-<a class="anchor" id="ga7e4a794d766861c70bc961630f8ef621"></a>
-<div class="memitem">
-<div class="memproto">
- <table class="memname">
<tr>
- <td class="memname">GLM_FUNC_DECL int glm::findMSB </td>
- <td>(</td>
- <td class="paramtype">genIUType&#160;</td>
- <td class="paramname"><em>x</em></td><td>)</td>
+ <td class="paramkey"></td>
<td></td>
+ <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
+ <td class="paramname"><em>Nref</em>&#160;</td>
</tr>
- </table>
-</div><div class="memdoc">
-
-<p>Returns the bit number of the most significant bit in the binary representation of value. </p>
-<p>For positive integers, the result will be the bit number of the most significant bit set to 1. For negative integers, the result will be the bit number of the most significant bit set to 0. For a value of zero or negative one, -1 will be returned.</p>
-<dl class="tparams"><dt>Template Parameters</dt><dd>
- <table class="tparams">
- <tr><td class="paramname">T</td><td>Signed or unsigned integer 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/findMSB.xml">GLSL findMSB man page</a> </dd>
-<dd>
-<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a> </dd></dl>
-
-</div>
-</div>
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<tr>
- <td class="memname">GLM_FUNC_DECL vecType&lt;int, P&gt; glm::findMSB </td>
- <td>(</td>
- <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>v</em></td><td>)</td>
<td></td>
+ <td>)</td>
+ <td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
-<p>Returns the bit number of the most significant bit in the binary representation of value. </p>
-<p>For positive integers, the result will be the bit number of the most significant bit set to 1. For negative integers, the result will be the bit number of the most significant bit set to 0. For a value of zero or negative one, -1 will be returned.</p>
+<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">T</td><td>Signed or unsigned integer scalar types.</td></tr>
+ <tr><td class="paramname">genType</td><td>Floating-point vector 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/findMSB.xml">GLSL findMSB man page</a> </dd>
+<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 8.8 Integer Functions</a> </dd></dl>
+<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 class="anchor" id="ga6e6e8b29ca40d8ca2df10b58ed17d426"></a>
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<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
- <td class="memname">GLM_FUNC_DECL void glm::imulExtended </td>
+ <td class="memname">GLM_FUNC_DECL T glm::length </td>
<td>(</td>
- <td class="paramtype">vecType&lt; int, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>x</em>, </td>
- </tr>
- <tr>
- <td class="paramkey"></td>
- <td></td>
- <td class="paramtype">vecType&lt; int, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>y</em>, </td>
- </tr>
- <tr>
- <td class="paramkey"></td>
- <td></td>
- <td class="paramtype">vecType&lt; int, P &gt; &amp;&#160;</td>
- <td class="paramname"><em>msb</em>, </td>
- </tr>
- <tr>
- <td class="paramkey"></td>
- <td></td>
- <td class="paramtype">vecType&lt; int, P &gt; &amp;&#160;</td>
- <td class="paramname"><em>lsb</em>&#160;</td>
- </tr>
- <tr>
+ <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
+ <td class="paramname"><em>x</em></td><td>)</td>
<td></td>
- <td>)</td>
- <td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
-<p>Multiplies 32-bit integers x and y, producing a 64-bit result. </p>
-<p>The 32 least-significant bits are returned in lsb. The 32 most-significant bits are returned in msb.</p>
+<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">genIType</td><td>Signed integer scalar or vector types.</td></tr>
+ <tr><td class="paramname">genType</td><td>Floating-point vector 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/imulExtended.xml">GLSL imulExtended man page</a> </dd>
+<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 8.8 Integer Functions</a> </dd></dl>
+<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 class="anchor" id="ga2fc1a46e7b7e9fbbd8fa444fbacaa2aa"></a>
+<a class="anchor" id="gada9451ec170a36fe53552812b9c03a68"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
- <td class="memname">GLM_FUNC_DECL vecType&lt;uint, P&gt; glm::uaddCarry </td>
+ <td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::normalize </td>
<td>(</td>
- <td class="paramtype">vecType&lt; <a class="el" href="a00157.html#ga91ad9478d81a7aaf2593e8d9c3d06a14">uint</a>, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>x</em>, </td>
- </tr>
- <tr>
- <td class="paramkey"></td>
- <td></td>
- <td class="paramtype">vecType&lt; <a class="el" href="a00157.html#ga91ad9478d81a7aaf2593e8d9c3d06a14">uint</a>, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>y</em>, </td>
- </tr>
- <tr>
- <td class="paramkey"></td>
- <td></td>
- <td class="paramtype">vecType&lt; <a class="el" href="a00157.html#ga91ad9478d81a7aaf2593e8d9c3d06a14">uint</a>, P &gt; &amp;&#160;</td>
- <td class="paramname"><em>carry</em>&#160;</td>
- </tr>
- <tr>
+ <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
+ <td class="paramname"><em>x</em></td><td>)</td>
<td></td>
- <td>)</td>
- <td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
-<p>Adds 32-bit unsigned integer x and y, returning the sum modulo pow(2, 32). </p>
-<p>The value carry is set to 0 if the sum was less than pow(2, 32), or to 1 otherwise.</p>
-<dl class="tparams"><dt>Template Parameters</dt><dd>
- <table class="tparams">
- <tr><td class="paramname">genUType</td><td>Unsigned integer scalar or vector 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/uaddCarry.xml">GLSL uaddCarry man page</a> </dd>
+<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="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 8.8 Integer Functions</a> </dd></dl>
+<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 class="anchor" id="ga456ff9dcec42f6769a9ae2a2af7f1ce1"></a>
+<a class="anchor" id="gab63646fc36b81cf69d3ce123a72f76f2"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
- <td class="memname">GLM_FUNC_DECL void glm::umulExtended </td>
+ <td class="memname">GLM_FUNC_DECL genType glm::reflect </td>
<td>(</td>
- <td class="paramtype">vecType&lt; <a class="el" href="a00157.html#ga91ad9478d81a7aaf2593e8d9c3d06a14">uint</a>, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>x</em>, </td>
+ <td class="paramtype">genType const &amp;&#160;</td>
+ <td class="paramname"><em>I</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
- <td class="paramtype">vecType&lt; <a class="el" href="a00157.html#ga91ad9478d81a7aaf2593e8d9c3d06a14">uint</a>, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>y</em>, </td>
- </tr>
- <tr>
- <td class="paramkey"></td>
- <td></td>
- <td class="paramtype">vecType&lt; <a class="el" href="a00157.html#ga91ad9478d81a7aaf2593e8d9c3d06a14">uint</a>, P &gt; &amp;&#160;</td>
- <td class="paramname"><em>msb</em>, </td>
- </tr>
- <tr>
- <td class="paramkey"></td>
- <td></td>
- <td class="paramtype">vecType&lt; <a class="el" href="a00157.html#ga91ad9478d81a7aaf2593e8d9c3d06a14">uint</a>, P &gt; &amp;&#160;</td>
- <td class="paramname"><em>lsb</em>&#160;</td>
+ <td class="paramtype">genType const &amp;&#160;</td>
+ <td class="paramname"><em>N</em>&#160;</td>
</tr>
<tr>
<td></td>
@@ -563,41 +300,40 @@ Functions</h2></td></tr>
</table>
</div><div class="memdoc">
-<p>Multiplies 32-bit integers x and y, producing a 64-bit result. </p>
-<p>The 32 least-significant bits are returned in lsb. The 32 most-significant bits are returned in msb.</p>
+<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">genUType</td><td>Unsigned integer scalar or vector types.</td></tr>
+ <tr><td class="paramname">genType</td><td>Floating-point vector 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/umulExtended.xml">GLSL umulExtended man page</a> </dd>
+<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 8.8 Integer Functions</a> </dd></dl>
+<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 class="anchor" id="ga22a889bf08313b7e547e2cdb8bb15ee4"></a>
+<a class="anchor" id="gab7e7cdf4403931a5f7b74560ad64159b"></a>
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<div class="memproto">
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- <td class="memname">GLM_FUNC_DECL vecType&lt;uint, P&gt; glm::usubBorrow </td>
+ <td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::refract </td>
<td>(</td>
- <td class="paramtype">vecType&lt; <a class="el" href="a00157.html#ga91ad9478d81a7aaf2593e8d9c3d06a14">uint</a>, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>x</em>, </td>
+ <td class="paramtype">vecType&lt; 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">vecType&lt; <a class="el" href="a00157.html#ga91ad9478d81a7aaf2593e8d9c3d06a14">uint</a>, P &gt; const &amp;&#160;</td>
- <td class="paramname"><em>y</em>, </td>
+ <td class="paramtype">vecType&lt; 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">vecType&lt; <a class="el" href="a00157.html#ga91ad9478d81a7aaf2593e8d9c3d06a14">uint</a>, P &gt; &amp;&#160;</td>
- <td class="paramname"><em>borrow</em>&#160;</td>
+ <td class="paramtype">T&#160;</td>
+ <td class="paramname"><em>eta</em>&#160;</td>
</tr>
<tr>
<td></td>
@@ -607,17 +343,16 @@ Functions</h2></td></tr>
</table>
</div><div class="memdoc">
-<p>Subtracts the 32-bit unsigned integer y from x, returning the difference if non-negative, or pow(2, 32) plus the difference otherwise. </p>
-<p>The value borrow is set to 0 if x &gt;= y, or to 1 otherwise.</p>
+<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">genUType</td><td>Unsigned integer scalar or vector types.</td></tr>
+ <tr><td class="paramname">genType</td><td>Floating-point vector 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/usubBorrow.xml">GLSL usubBorrow man page</a> </dd>
+<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 8.8 Integer Functions</a> </dd></dl>
+<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>