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Christophe Riccio
2014-11-30 21:57:58 +01:00
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<title>0.9.6: Matrix functions</title>
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<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="a00161.html">GLM Core</a></div></div> </div>
<div class="title">Matrix functions<div class="ingroups"><a class="el" href="a00160.html">GLM Core</a></div></div> </div>
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<div class="contents">
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
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<tr class="memitem:gae9f513dc8e4f3ceb993669321b6d0f09"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL <br class="typebreak" />
detail::outerProduct_trait&lt; T, <br class="typebreak" />
P, vecTypeA, vecTypeB &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00153.html#gae9f513dc8e4f3ceb993669321b6d0f09">outerProduct</a> (vecTypeA&lt; T, P &gt; const &amp;c, vecTypeB&lt; T, P &gt; const &amp;r)</td></tr>
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<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>For each of the following built-in matrix functions, there is both a single-precision floating point version, where all arguments and return values are single precision, and a double-precision floating version, where all arguments and return values are double precision. </p>
<p>Only the single-precision floating point version is shown. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga44abfe3379e11cbd29425a843420d0d6"></a>
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<td class="memname">GLM_FUNC_DECL int glm::bitCount </td>
<td class="memname">GLM_FUNC_DECL T glm::determinant </td>
<td>(</td>
<td class="paramtype">genType&#160;</td>
<td class="paramname"><em>v</em></td><td>)</td>
<td class="paramtype">matType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>m</em></td><td>)</td>
<td></td>
</tr>
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</div><div class="memdoc">
<p>Returns the number of bits set to 1 in the binary representation of value. </p>
<p>Returns the transposed matrix of x. </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">matType</td><td>Floating-point matrix 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/transpose.xml">GLSL transpose 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 8.6 Matrix Functions</a> Return the determinant of a squared matrix.</dd></dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<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/determinant.xml">GLSL determinant man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6 Matrix Functions</a> </dd></dl>
</div>
</div>
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<td class="memname">GLM_FUNC_DECL vecType&lt;int, P&gt; glm::bitCount </td>
<td class="memname">GLM_FUNC_DECL matType&lt;T, P&gt; glm::inverse </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 class="paramtype">matType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>m</em></td><td>)</td>
<td></td>
</tr>
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<p>Returns the number of bits set to 1 in the binary representation of value. </p>
<p>Return the inverse of a squared matrix. </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/inverse.xml">GLSL inverse 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 8.6 Matrix Functions</a> </dd></dl>
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<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>Value</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>Offset</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>Bits</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<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>
<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/bitfieldExtract.xml">GLSL bitfieldExtract 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>
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<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>Base</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>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<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>
<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/bitfieldInsert.xml">GLSL bitfieldInsert 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>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::bitfieldReverse </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>v</em></td><td>)</td>
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<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>
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<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></td>
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<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>
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<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>
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<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>
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<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></td>
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<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>
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<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>v</em></td><td>)</td>
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<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>
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<td class="memname">GLM_FUNC_DECL void glm::imulExtended </td>
<td>(</td>
<td class="paramtype">vecType&lt; int, P &gt; const &amp;&#160;</td>
<td class="paramtype">matType&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">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>
<td class="paramtype">matType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
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<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>Multiply matrix x by matrix y component-wise, i.e., result[i][j] is the scalar product of x[i][j] and y[i][j]. </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">matType</td><td>Floating-point matrix 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/matrixCompMult.xml">GLSL matrixCompMult 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 8.6 Matrix Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vecType&lt;uint, P&gt; glm::uaddCarry </td>
<td class="memname">GLM_FUNC_DECL detail::outerProduct_trait&lt;T, P, vecTypeA, vecTypeB&gt;::type glm::outerProduct </td>
<td>(</td>
<td class="paramtype">vecType&lt; uint, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em>, </td>
<td class="paramtype">vecTypeA&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>c</em>, </td>
</tr>
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<td class="paramname"><em>y</em>, </td>
</tr>
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<td></td>
<td class="paramtype">vecType&lt; uint, P &gt; &amp;&#160;</td>
<td class="paramname"><em>carry</em>&#160;</td>
<td class="paramtype">vecTypeB&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>r</em>&#160;</td>
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<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>
<p>Treats the first parameter c as a column vector and the second parameter r as a row vector and does a linear algebraic matrix multiply c * r. </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">matType</td><td>Floating-point matrix 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>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/outerProduct.xml">GLSL outerProduct 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>
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<td class="memname">GLM_FUNC_DECL void glm::umulExtended </td>
<td>(</td>
<td class="paramtype">vecType&lt; uint, 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; uint, 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; uint, P &gt; &amp;&#160;</td>
<td class="paramname"><em>msb</em>, </td>
</tr>
<tr>
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<td></td>
<td class="paramtype">vecType&lt; uint, P &gt; &amp;&#160;</td>
<td class="paramname"><em>lsb</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<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>
<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/umulExtended.xml">GLSL umulExtended 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>
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<td class="memname">GLM_FUNC_DECL vecType&lt;uint, P&gt; glm::usubBorrow </td>
<td>(</td>
<td class="paramtype">vecType&lt; uint, 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; uint, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
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<td></td>
<td class="paramtype">vecType&lt; uint, P &gt; &amp;&#160;</td>
<td class="paramname"><em>borrow</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<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>
<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/usubBorrow.xml">GLSL usubBorrow 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 8.6 Matrix Functions</a> </dd></dl>
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