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<a id="betarand"></a>
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<h2>
<span class="refentrytitle">betarand</span>
</h2>
<p>betarand —
Beta distribution random number generator (positive values only).
</p>
</div>
<div class="refsect1">
<a id="idm281472949387368"></a>
<h2>Description</h2>
<p>
Beta distribution random number generator (positive values only). This is an x-class noise generator.
</p>
</div>
<div class="refsect1">
<a id="idm281472949385912"></a>
<h2>Syntax</h2>
<pre class="synopsis">ares <span class="command"><strong>betarand</strong></span> krange, kalpha, kbeta</pre>
<pre class="synopsis">ires <span class="command"><strong>betarand</strong></span> krange, kalpha, kbeta</pre>
<pre class="synopsis">kres <span class="command"><strong>betarand</strong></span> krange, kalpha, kbeta</pre>
</div>
<div class="refsect1">
<a id="idm281472949380792"></a>
<h2>Performance</h2>
<p>
<span class="emphasis"><em>krange</em></span> -- range of the random numbers (0 - <span class="emphasis"><em>krange</em></span>).
</p>
<p>
<span class="emphasis"><em>kalpha</em></span> -- alpha value. If <span class="emphasis"><em>kalpha</em></span> is smaller than one, smaller values favor values near 0.
</p>
<p>
<span class="emphasis"><em>kbeta</em></span> -- beta value. If <span class="emphasis"><em>kbeta</em></span> is smaller than one, smaller values favor values near <span class="emphasis"><em>krange</em></span>.
</p>
<p>
If both <span class="emphasis"><em>kalpha</em></span> and <span class="emphasis"><em>kbeta</em></span> equal one we have uniform distribution. If both <span class="emphasis"><em>kalpha</em></span> and <span class="emphasis"><em>kbeta</em></span> are greater than one we have a sort of Gaussian distribution. Outputs only positive numbers.
</p>
<p>
For more detailed explanation of these distributions, see:
</p>
<div class="orderedlist">
<ol class="orderedlist" type="1">
<li class="listitem">
<p>C. Dodge - T.A. Jerse 1985. Computer music. Schirmer books. pp.265 - 286</p>
</li>
<li class="listitem">
<p>D. Lorrain. A panoply of stochastic cannons. In C. Roads, ed. 1989. Music machine . Cambridge, Massachusetts: MIT press, pp. 351 - 379.</p>
</li>
</ol>
</div>
<p>
</p>
</div>
<div class="refsect1">
<a id="idm281472949369784"></a>
<h2>Examples</h2>
<p>
Here is an example of the betarand opcode. It uses the file <a class="ulink" href="examples/betarand.csd" target="_top"><em class="citetitle">betarand.csd</em></a>.
</p>
<div class="example">
<a id="idm281472949368008"></a>
<p class="title">
<strong>Example 87. Example of the betarand opcode.</strong>
</p>
<div class="example-contents">
<p>See the sections <a class="link" href="UsingRealTime.html" title="Real-Time Audio"><em class="citetitle">Real-time Audio</em></a> and <a class="link" href="CommandFlags.html" title="Csound command line"><em class="citetitle">Command Line Flags</em></a> for more information on using command line flags.</p>
<div class="refsect1">
<a id="idm281472783894456"></a>
<pre class="programlisting">
<span class="nt"><CsoundSynthesizer></span>
<span class="nt"><CsOptions></span>
<span class="c1">; Select audio/midi flags here according to platform</span>
-odac <span class="c1">;;;RT audio out</span>
<span class="c1">;-iadc ;;;uncomment -iadc if RT audio input is needed too</span>
<span class="c1">; For Non-realtime ouput leave only the line below:</span>
<span class="c1">; -o betarand.wav -W ;;; for file output any platform</span>
<span class="nt"></CsOptions></span>
<span class="nt"><CsInstruments></span>
<span class="vg">sr</span> <span class="o">=</span> <span class="mi">44100</span>
<span class="vg">ksmps</span> <span class="o">=</span> <span class="mi">32</span>
<span class="vg">nchnls</span> <span class="o">=</span> <span class="mi">2</span>
<span class="vg">0dbfs</span> <span class="o">=</span> <span class="mi">1</span>
<span class="kd">instr</span> <span class="nf">1</span> <span class="c1">; every run time same values</span>
k<span class="n">beta</span> <span class="nb">betarand</span> <span class="mi">100</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span>
<span class="nb">printk</span> <span class="mf">.2</span><span class="p">,</span> k<span class="n">beta</span> <span class="c1">; look </span>
a<span class="n">out</span> <span class="nb">oscili</span> <span class="mf">0.8</span><span class="p">,</span> <span class="mi">440</span><span class="o">+</span>k<span class="n">beta</span><span class="p">,</span> <span class="mi">1</span> <span class="c1">; & listen</span>
<span class="nb">outs</span> a<span class="n">out</span><span class="p">,</span> a<span class="n">out</span>
<span class="kd">endin</span>
<span class="kd">instr</span> <span class="nf">2</span> <span class="c1">; every run time different values</span>
<span class="nb">seed</span> <span class="mi">0</span>
k<span class="n">beta</span> <span class="nb">betarand</span> <span class="mi">100</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span>
<span class="nb">printk</span> <span class="mf">.2</span><span class="p">,</span> k<span class="n">beta</span> <span class="c1">; look </span>
a<span class="n">out</span> <span class="nb">oscili</span> <span class="mf">0.8</span><span class="p">,</span> <span class="mi">440</span><span class="o">+</span>k<span class="n">beta</span><span class="p">,</span> <span class="mi">1</span> <span class="c1">; & listen</span>
<span class="nb">outs</span> a<span class="n">out</span><span class="p">,</span> a<span class="n">out</span>
<span class="kd">endin</span>
<span class="nt"></CsInstruments></span>
<span class="nt"><CsScore></span>
<span class="c1">; sine wave</span>
<span class="nb">f</span> <span class="mi">1</span> <span class="mi">0</span> <span class="mi">16384</span> <span class="mi">10</span> <span class="mi">1</span>
<span class="nb">i</span> <span class="mi">1</span> <span class="mi">0</span> <span class="mi">2</span>
<span class="nb">i</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">2</span>
<span class="nb">e</span>
<span class="nt"></CsScore></span>
<span class="nt"></CsoundSynthesizer></span>
</pre>
</div>
</div>
</div>
<p><br class="example-break" />
Its output should include a line like:
</p>
<pre class="screen">
i 1 time 0.00267: 85.74227
i 1 time 0.20267: 12.07606
i 1 time 0.40267: 25.03239
i 1 time 0.60267: 0.42037
i 1 time 0.80267: 76.69589
i 1 time 1.00000: 29.73339
i 1 time 1.20267: 48.29811
i 1 time 1.40267: 75.46507
i 1 time 1.60267: 74.80686
i 1 time 1.80000: 81.37473
i 1 time 2.00000: 55.48827
Seeding from current time 3472120656
i 2 time 3.00267: 57.21408
i 2 time 3.20267: 30.95705
i 2 time 3.40267: 19.71687
i 2 time 3.60000: 64.48965
i 2 time 3.80267: 72.35818
i 2 time 4.00000: 49.65395
i 2 time 4.20000: 55.25888
i 2 time 4.40267: 3.98308
i 2 time 4.60267: 52.98075
i 2 time 4.80267: 58.07925
i 2 time 5.00000: 56.38914
</pre>
<p>
</p>
</div>
<div class="refsect1">
<a id="idm281472949361304"></a>
<h2>See Also</h2>
<p>
<a class="link" href="seed.html" title="seed"><em class="citetitle">seed</em></a>,
<a class="link" href="bexprnd.html" title="bexprnd"><em class="citetitle">bexprnd</em></a>,
<a class="link" href="cauchy.html" title="cauchy"><em class="citetitle">cauchy</em></a>,
<a class="link" href="exprand.html" title="exprand"><em class="citetitle">exprand</em></a>,
<a class="link" href="gauss.html" title="gauss"><em class="citetitle">gauss</em></a>,
<a class="link" href="linrand.html" title="linrand"><em class="citetitle">linrand</em></a>,
<a class="link" href="pcauchy.html" title="pcauchy"><em class="citetitle">pcauchy</em></a>,
<a class="link" href="poisson.html" title="poisson"><em class="citetitle">poisson</em></a>,
<a class="link" href="trirand.html" title="trirand"><em class="citetitle">trirand</em></a>,
<a class="link" href="unirand.html" title="unirand"><em class="citetitle">unirand</em></a>,
<a class="link" href="weibull.html" title="weibull"><em class="citetitle">weibull</em></a>
</p>
</div>
<div class="refsect1">
<a id="idm281472949349560"></a>
<h2>Credits</h2>
<p>
</p>
<table border="0" summary="Simple list" class="simplelist">
<tr>
<td>Author: Paris Smaragdis</td>
</tr>
<tr>
<td>MIT, Cambridge</td>
</tr>
<tr>
<td>1995</td>
</tr>
</table>
<p>
</p>
<p>Existed in 3.30</p>
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