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<div class="refentry" title="cauchy">
<a id="cauchy"></a>
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<a id="IndexCauchy" class="indexterm"></a>
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<h2>
<span class="refentrytitle">cauchy</span>
</h2>
<p>cauchy —
Cauchy distribution random number generator.
</p>
</div>
<div class="refsect1" title="Description">
<a id="idp15126680"></a>
<h2>Description</h2>
<p>
Cauchy distribution random number generator. This is an x-class noise generator.
</p>
</div>
<div class="refsect1" title="Syntax">
<a id="idp15136928"></a>
<h2>Syntax</h2>
<pre class="synopsis">ares <span class="command"><strong>cauchy</strong></span> kalpha</pre>
<pre class="synopsis">ires <span class="command"><strong>cauchy</strong></span> kalpha</pre>
<pre class="synopsis">kres <span class="command"><strong>cauchy</strong></span> kalpha</pre>
</div>
<div class="refsect1" title="Performance">
<a id="idp15234072"></a>
<h2>Performance</h2>
<p>
<span class="emphasis"><em>kalpha</em></span> -- controls the spread from zero (big <span class="emphasis"><em>kalpha</em></span> = big spread). Outputs both positive and negative 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" title="Examples">
<a id="idp15237112"></a>
<h2>Examples</h2>
<p>
Here is an example of the cauchy opcode. It uses the file <a class="ulink" href="examples/cauchy.csd" target="_top"><em class="citetitle">cauchy.csd</em></a>.
</p>
<div class="example">
<a id="idp15238088"></a>
<p class="title">
<strong>Example 91. Example of the cauchy 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>
<pre class="programlisting">
<span class="csdtag"><CsoundSynthesizer></span>
<span class="csdtag"><CsOptions></span>
<span class="comment">; Select audio/midi flags here according to platform</span>
-odac <span class="comment">;;;RT audio out</span>
<span class="comment">;-iadc ;;;uncomment -iadc if RT audio input is needed too</span>
<span class="comment">; For Non-realtime ouput leave only the line below:</span>
<span class="comment">; -o cauchy.wav -W ;;; for file output any platform</span>
<span class="csdtag"></CsOptions></span>
<span class="csdtag"><CsInstruments></span>
<span class="ohdr">sr</span> <span class="op">=</span> 44100
<span class="ohdr">ksmps</span> <span class="op">=</span> 32
<span class="ohdr">nchnls</span> <span class="op">=</span> 2
<span class="ohdr">0dbfs</span> <span class="op">=</span> 1
<span class="oblock">instr</span> 1 <span class="comment">; every run time same values</span>
kalpha <span class="opc">cauchy</span> 100
<span class="opc">printk</span> .2, kalpha <span class="comment">; look</span>
aout <span class="opc">oscili</span> 0.8, 440<span class="op">+</span>kalpha, 1 <span class="comment">; & listen</span>
<span class="opc">outs</span> aout, aout
<span class="oblock">endin</span>
<span class="oblock">instr</span> 2 <span class="comment">; every run time different values</span>
<span class="ohdr">seed</span> 0
kalpha <span class="opc">cauchy</span> 100
<span class="opc">printk</span> .2, kalpha <span class="comment">; look </span>
aout <span class="opc">oscili</span> 0.8, 440<span class="op">+</span>kalpha, 1 <span class="comment">; & listen</span>
<span class="opc">outs</span> aout, aout
<span class="oblock">endin</span>
<span class="csdtag"></CsInstruments></span>
<span class="csdtag"><CsScore></span>
<span class="comment">; sine wave</span>
<span class="stamnt">f</span> 1 0 16384 10 1
<span class="stamnt">i</span> 1 0 2
<span class="stamnt">i</span> 2 3 2
<span class="stamnt">e</span>
<span class="csdtag"></CsScore></span>
<span class="csdtag"></CsoundSynthesizer></span>
</pre>
</div>
</div>
<p><br class="example-break" />
Its output should include lines like:
</p>
<pre class="screen">
i 1 time 0.00267: -0.20676
i 1 time 0.20267: -0.28814
i 1 time 0.40267: 0.61651
i 1 time 0.60267: -18.18552
i 1 time 0.80267: 1.18140
i 1 time 1.00000: -0.75432
i 1 time 1.20267: -0.02002
i 1 time 1.40267: 0.01785
i 1 time 1.60267: -0.48834
i 1 time 1.80000: 9.69401
i 1 time 2.00000: -0.41257
Seeding from current time 3112109827
i 2 time 3.00267: -0.46887
i 2 time 3.20267: 0.06189
i 2 time 3.40267: -0.40303
i 2 time 3.60000: 0.89312
i 2 time 3.80267: -0.40374
i 2 time 4.00000: 0.86557
i 2 time 4.20000: 0.09192
i 2 time 4.40267: -0.16748
i 2 time 4.60267: 0.30133
i 2 time 4.80267: 0.31657
i 2 time 5.00000: 0.44681
</pre>
<p>
</p>
</div>
<div class="refsect1" title="See Also">
<a id="idp15242496"></a>
<h2>See Also</h2>
<p>
<a class="link" href="seed.html" title="seed"><em class="citetitle">seed</em></a>,
<a class="link" href="betarand.html" title="betarand"><em class="citetitle">betarand</em></a>,
<a class="link" href="bexprnd.html" title="bexprnd"><em class="citetitle">bexprnd</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" title="Credits">
<a id="idp15248448"></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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