<?xml version="1.0" encoding="UTF-8" standalone="no"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /> <title>cauchy</title> <link rel="stylesheet" type="text/css" href="csound.css" /> <link rel="stylesheet" type="text/css" href="syntax-highlighting.css" /> <meta name="generator" content="DocBook XSL Stylesheets Vsnapshot" /> <link rel="home" href="index.html" title="The Canonical Csound Reference Manual" /> <link rel="up" href="OpcodesTop.html" title="Orchestra Opcodes and Operators" /> <link rel="prev" href="cabasa.html" title="cabasa" /> <link rel="next" href="cauchyi.html" title="cauchyi" /> </head> <body> <div class="navheader"> <table width="100%" summary="Navigation header"> <tr> <th colspan="3" align="center">cauchy</th> </tr> <tr> <td width="20%" align="left"><a accesskey="p" href="cabasa.html">Prev</a> </td> <th width="60%" align="center">Orchestra Opcodes and Operators</th> <td width="20%" align="right"> <a accesskey="n" href="cauchyi.html">Next</a></td> </tr> </table> <hr /> </div> <div class="refentry"> <a id="cauchy"></a> <div class="titlepage"></div> <a id="IndexCauchyXClass" class="indexterm"></a> <a id="IndexCauchy" class="indexterm"></a> <div class="refnamediv"> <h2> <span class="refentrytitle">cauchy</span> </h2> <p>cauchy — Cauchy distribution random number generator. </p> </div> <div class="refsect1"> <a id="idm281472948151560"></a> <h2>Description</h2> <p> Cauchy distribution random number generator. This is an x-class noise generator. </p> </div> <div class="refsect1"> <a id="idm281472948150136"></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"> <a id="idm281472948145016"></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"> <a id="idm281472948139560"></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="idm281472948137784"></a> <p class="title"> <strong>Example 106. 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> <div class="refsect1"> <a id="idm281472781950296"></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 cauchy.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">alpha</span> <span class="nb">cauchy</span> <span class="mi">100</span> <span class="nb">printk</span> <span class="mf">.2</span><span class="p">,</span> k<span class="n">alpha</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">alpha</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">alpha</span> <span class="nb">cauchy</span> <span class="mi">100</span> <span class="nb">printk</span> <span class="mf">.2</span><span class="p">,</span> k<span class="n">alpha</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">alpha</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 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"> <a id="idm281472948131048"></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"> <a id="idm281472948119304"></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> </div> </div> <div class="navfooter"> <hr /> <table width="100%" summary="Navigation footer"> <tr> <td width="40%" align="left"><a accesskey="p" href="cabasa.html">Prev</a> </td> <td width="20%" align="center"> <a accesskey="u" href="OpcodesTop.html">Up</a> </td> <td width="40%" align="right"> <a accesskey="n" href="cauchyi.html">Next</a></td> </tr> <tr> <td width="40%" align="left" valign="top">cabasa </td> <td width="20%" align="center"> <a accesskey="h" href="index.html">Home</a> </td> <td width="40%" align="right" valign="top"> cauchyi</td> </tr> </table> </div> </body> </html>