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Christophe Riccio
2016-09-11 12:44:33 +02:00
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<title>0.9.7: Exponential functions</title>
<title>0.9.8: Angle and Trigonometry Functions</title>
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<div id="projectname">0.9.7
<div id="projectname">0.9.8
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<div class="summary">
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">Exponential functions<div class="ingroups"><a class="el" href="a00162.html">GLM Core</a></div></div> </div>
<div class="title">Angle and Trigonometry Functions<div class="ingroups"><a class="el" href="a00156.html">GLM Core</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:ga25e54a7f44fc49ec6ac6ffc7675cf04a"><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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<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. </p>
<p>Function parameters specified as angle are assumed to be in units of radians. </p>
<p>In no case will any of these functions result in a divide by zero error. If the divisor of a ratio is 0, then results will be undefined.</p>
<p>These all operate component-wise. The description is per component. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga25e54a7f44fc49ec6ac6ffc7675cf04a"></a>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::exp </td>
<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::acos </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="paramname"><em>x</em></td><td>)</td>
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<p>Returns the natural exponentiation of x, i.e., e^x. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>exp function is defined for input values of v defined in the range (inf-, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<p>Arc cosine. </p>
<p>Returns an angle whose sine is x. The range of values returned by this function is [0, PI]. Results are undefined if |x| &gt; 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/exp.xml">GLSL exp man page</a> </dd>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acos.xml">GLSL acos man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::exp2 </td>
<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::acosh </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 2 raised to the v power. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>exp2 function is defined for input values of v defined in the range (inf-, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<p>Arc hyperbolic cosine; returns the non-negative inverse of cosh. </p>
<p>Results are undefined if x &lt; 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/exp2.xml">GLSL exp2 man page</a> </dd>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acosh.xml">GLSL acosh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::inversesqrt </td>
<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::asin </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="paramname"><em>x</em></td><td>)</td>
<td></td>
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<p>Returns the reciprocal of the positive square root of v. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>inversesqrt function is defined for input values of v defined in the range [0, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<p>Arc sine. </p>
<p>Returns an angle whose sine is x. The range of values returned by this function is [-PI/2, PI/2]. Results are undefined if |x| &gt; 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/inversesqrt.xml">GLSL inversesqrt man page</a> </dd>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asin.xml">GLSL asin man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::log </td>
<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::asinh </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="paramname"><em>x</em></td><td>)</td>
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<p>Returns the natural logarithm of v, i.e., returns the value y which satisfies the equation x = e^y. </p>
<p>Results are undefined if v &lt;= 0.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>log function is defined for input values of v defined in the range (0, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<p>Arc hyperbolic sine; returns the inverse of sinh. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/log.xml">GLSL log man page</a> </dd>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asinh.xml">GLSL asinh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::log2 </td>
<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::atan </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 base 2 log of x, i.e., returns the value y, which satisfies the equation x = 2 ^ y. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>log2 function is defined for input values of v defined in the range (0, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/log2.xml">GLSL log2 man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::pow </td>
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<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>base</em>, </td>
<td class="paramname"><em>y</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>exponent</em>&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
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<p>Returns 'base' raised to the power 'exponent'. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">base</td><td>Floating point value. pow function is defined for input values of 'base' defined in the range (inf-, inf+) in the limit of the type precision. </td></tr>
<tr><td class="paramname">exponent</td><td>Floating point value representing the 'exponent'. </td></tr>
</table>
</dd>
</dl>
<p>Arc tangent. </p>
<p>Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/pow.xml">GLSL pow man page</a> </dd>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
<p>Referenced by <a class="el" href="a00016_source.html#l00052">glm::atan2()</a>.</p>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::atan </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="paramname"><em>y_over_x</em></td><td>)</td>
<td></td>
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<p>Returns the positive square root of v. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>sqrt function is defined for input values of v defined in the range [0, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<p>Arc tangent. </p>
<p>Returns an angle whose tangent is y_over_x. The range of values returned by this function is [-PI/2, PI/2].</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/sqrt.xml">GLSL sqrt man page</a> </dd>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Arc hyperbolic tangent; returns the inverse of tanh. </p>
<p>Results are undefined if abs(x) &gt;= 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/atanh.xml">GLSL atanh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
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<p>The standard trigonometric cosine function. </p>
<p>The values returned by this function will range from [-1, 1].</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/cos.xml">GLSL cos man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
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<p>Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/cosh.xml">GLSL cosh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry 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>radians</em></td><td>)</td>
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<p>Converts radians to degrees and returns the result. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/degrees.xml">GLSL degrees man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry 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>degrees</em></td><td>)</td>
<td></td>
</tr>
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<p>Converts degrees to radians and returns the result. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/radians.xml">GLSL radians man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<p>The standard trigonometric sine function. </p>
<p>The values returned by this function will range from [-1, 1].</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/sin.xml">GLSL sin man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry 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>angle</em></td><td>)</td>
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<p>Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/sinh.xml">GLSL sinh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
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<p>The standard trigonometric tangent function. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/tan.xml">GLSL tan man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry 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>angle</em></td><td>)</td>
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<p>Returns the hyperbolic tangent function, sinh(angle) / cosh(angle) </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/tanh.xml">GLSL tanh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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