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<h2>
<span class="refentrytitle">gaussi</span>
</h2>
<p>gaussi —
Gaussian distribution random number generator with
interpolation.
</p>
</div>
<div class="refsect1">
<a id="idm281472927710232"></a>
<h2>Description</h2>
<p>
Gaussian distribution random number generator with controlled
interpolation between values. This is an
x-class noise generator.
</p>
</div>
<div class="refsect1">
<a id="idm281472927708904"></a>
<h2>Syntax</h2>
<pre class="synopsis">ares <span class="command"><strong>gaussi</strong></span> krange, xamp, xcps</pre>
<pre class="synopsis">ires <span class="command"><strong>gaussi</strong></span> krange, xamp, xcps</pre>
<pre class="synopsis">kres <span class="command"><strong>gaussi</strong></span> krange, xamp, xcps</pre>
</div>
<div class="refsect1">
<a id="idm281472927703912"></a>
<h2>Performance</h2>
<p>
<span class="emphasis"><em>krange</em></span> -- the range of the random numbers (-<span class="emphasis"><em>krange</em></span> to +<span class="emphasis"><em>krange</em></span>). Outputs both positive and negative numbers.
</p>
<p>
<span class="emphasis"><em>gauss</em></span> returns random numbers following a normal distribution centered around 0.0 (mu = 0.0) with a variance (sigma) of <span class="emphasis"><em>krange</em></span> / 3.83. Thus more than 99.99%
of the random values generated are in the range -<span class="emphasis"><em>krange</em></span> to +<span class="emphasis"><em>krange</em></span>. If a mean value different of 0.0 is desired, this mean value has to
be added to the generated numbers (see example below).
</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>
<p>
<span class="emphasis"><em>xamp</em></span> -- range over which random numbers are distributed.
</p>
<p>
<span class="emphasis"><em>xcps</em></span> -- the frequency which new random
numbers are generated.
</p>
</div>
<div class="refsect1">
<a id="idm281472927694024"></a>
<h2>Examples</h2>
<p>
Here is an example of the gaussi opcode. It uses the file <a class="ulink" href="examples/gaussi.csd" target="_top"><em class="citetitle">gaussi.csd</em></a>.
</p>
<div class="example">
<a id="idm281472927692168"></a>
<p class="title">
<strong>Example 372. Example of the gaussi 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="idm281472758138840"></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">;;;realtime audio out</span>
<span class="c1">;-iadc ;;;uncomment -iadc if realtime audio input is needed too</span>
<span class="c1">; For Non-realtime ouput leave only the line below:</span>
<span class="c1">; -o exprand.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>
k<span class="n">lambda</span> <span class="nb">gaussi</span> <span class="mi">100</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">3</span>
<span class="nb">printk2</span> k<span class="n">lambda</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">lambda</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">4</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" />
</p>
</div>
<div class="refsect1">
<a id="idm281472927687880"></a>
<h2>See Also</h2>
<p>
<a class="link" href="gauss.html" title="gauss"><em class="citetitle">gauss</em></a>
</p>
</div>
<div class="refsect1">
<a id="idm281472927685832"></a>
<h2>Credits</h2>
<p>
</p>
<table border="0" summary="Simple list" class="simplelist">
<tr>
<td>Author: John ffitch</td>
</tr>
<tr>
<td>Bath</td>
</tr>
<tr>
<td>May 2011</td>
</tr>
<tr>
<td>New in version 5.14</td>
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