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<span class="refentrytitle">duserrnd</span>
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<p>duserrnd —
Discrete USER-defined-distribution RaNDom generator.
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<div class="refsect1" title="Description">
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<h2>Description</h2>
<p>
Discrete USER-defined-distribution RaNDom generator.
</p>
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<div class="refsect1" title="Syntax">
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<h2>Syntax</h2>
<pre class="synopsis">aout <span class="command"><strong>duserrnd</strong></span> ktableNum</pre>
<pre class="synopsis">iout <span class="command"><strong>duserrnd</strong></span> itableNum</pre>
<pre class="synopsis">kout <span class="command"><strong>duserrnd</strong></span> ktableNum</pre>
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<div class="refsect1" title="Initialization">
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<h2>Initialization</h2>
<p>
<span class="emphasis"><em>itableNum</em></span> -- number of table containing the random-distribution function. Such table is generated by the user. See <a class="link" href="GEN40.html" title="GEN40">GEN40</a>, <a class="link" href="GEN41.html" title="GEN41">GEN41</a>, and <a class="link" href="GEN42.html" title="GEN42">GEN42</a>. The table length does not need to be a power of 2
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<div class="refsect1" title="Performance">
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<h2>Performance</h2>
<p>
<span class="emphasis"><em>ktableNum</em></span> -- number of table containing the random-distribution function. Such table is generated by the user. See <a class="link" href="GEN40.html" title="GEN40">GEN40</a>, <a class="link" href="GEN41.html" title="GEN41">GEN41</a>, and <a class="link" href="GEN42.html" title="GEN42">GEN42</a>. The table length does not need to be a power of 2
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<p>
<span class="emphasis"><em>duserrnd</em></span> (discrete user-defined-distribution random generator) generates random values according to a discrete random distribution created by the user. The user can create the discrete distribution histogram by using <a class="link" href="GEN41.html" title="GEN41">GEN41</a>. In order to create that table, the user has to define an arbitrary amount of number pairs, the first number of each pair representing a value and the second representing its probability (see <a class="link" href="GEN41.html" title="GEN41">GEN41</a> for more details).
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<p>
When used as a function, the rate of generation depends by the rate type of input variable XtableNum. In this case it can be embedded into any formula. Table number can be varied at k-rate, allowing to change the distribution histogram during the performance of a single note. <span class="emphasis"><em>duserrnd</em></span> is designed be used in algorithmic music generation.
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<p>
<span class="emphasis"><em>duserrnd</em></span> can also be used to generate values following a set of ranges of probabilities by using distribution functions generated by GEN42 (See <a class="link" href="GEN42.html" title="GEN42">GEN42</a> for more details). In this case, in order to simulate continuous ranges, the length of table XtableNum should be reasonably big, as <span class="emphasis"><em>duserrnd</em></span> does not interpolate between table elements.
</p>
<p>
For a tutorial about random distribution histograms and functions see:
</p>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<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.
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</li>
</ul>
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<div class="refsect1" title="See Also">
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<h2>See Also</h2>
<p>
<a class="link" href="cuserrnd.html" title="cuserrnd"><em class="citetitle">cuserrnd</em></a>,
<a class="link" href="urd.html" title="urd"><em class="citetitle">urd</em></a>
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<div class="refsect1" title="Credits">
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<h2>Credits</h2>
<p>Author: Gabriel Maldonado</p>
<p>New in Version 4.16</p>
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