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<div class="refentry" title="mandel">
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<h2>
<span class="refentrytitle">mandel</span>
</h2>
<p>mandel —
Mandelbrot set
</p>
</div>
<div class="refsect1" title="Description">
<a id="idp30203800"></a>
<h2>Description</h2>
<p>
Returns the number of iterations corresponding to a given point of complex plane by applying the Mandelbrot set formula.
</p>
</div>
<div class="refsect1" title="Syntax">
<a id="idp30204528"></a>
<h2>Syntax</h2>
<pre class="synopsis">kiter, koutrig <span class="command"><strong>mandel</strong></span> ktrig, kx, ky, kmaxIter</pre>
</div>
<div class="refsect1" title="Performance">
<a id="idp30237352"></a>
<h2>Performance</h2>
<p>
<span class="emphasis"><em>kiter</em></span> - number of iterations
</p>
<p>
<span class="emphasis"><em>koutrig</em></span> - output trigger signal
</p>
<p>
<span class="emphasis"><em>ktrig</em></span> - input trigger signal
</p>
<p>
<span class="emphasis"><em>kx, ky</em></span> - coordinates of a given point belonging to the complex plane
</p>
<p>
<span class="emphasis"><em>kmaxIter</em></span> - maximum iterations allowed
</p>
<p>
<span class="emphasis"><em>mandel</em></span> is an opcode that allows the use of the Mandelbrot set formula to generate an output that can be applied to any musical (or non-musical) parameter. It has two output arguments: <span class="emphasis"><em>kiter</em></span>, that contains the iteration number of a given point, and <span class="emphasis"><em>koutrig</em></span>, that generates a trigger 'bang' each time <span class="emphasis"><em>kiter</em></span> changes. A new number of iterations is evaluated only when <span class="emphasis"><em>ktrig</em></span> is set to a non-zero value. The coordinates of the complex plane are set in <span class="emphasis"><em>kx</em></span> and <span class="emphasis"><em>ky</em></span>, while <span class="emphasis"><em>kmaxIter</em></span> contains the maximum number of iterations. Output values, which are integer numbers, can be mapped in any sorts of ways by the composer.
</p>
</div>
<div class="refsect1" title="Examples">
<a id="idp30242456"></a>
<h2>Examples</h2>
<p>
Here is an example of the mandel opcode. It uses the file <a class="ulink" href="examples/mandel.csd" target="_top"><em class="citetitle">mandel.csd</em></a>.
</p>
<div class="example">
<a id="idp30243424"></a>
<p class="title">
<strong>Example 436. Example of the mandel 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">;;;realtime audio out</span>
<span class="comment">;-iadc ;;;uncomment -iadc if realtime audio input is needed too</span>
<span class="comment">; For Non-realtime ouput leave only the line below:</span>
<span class="comment">; -o mandel.wav -W ;;; for file output any platform</span>
<span class="csdtag"></CsOptions></span>
<span class="csdtag"><CsInstruments></span>
<span class="comment">;example by Brian Evans</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="oblock">instr</span> 1
ipitchtable <span class="op">=</span> 1 <span class="comment">; pitch table in score </span>
ipitchndx <span class="op">=</span> p5 <span class="comment">; p5=pitch index from table</span>
ipitch <span class="opc">table</span> ipitchndx, ipitchtable
kenv <span class="opc">expseg</span> 1.0, 1.0, 1.0, 11.5, .0001
asig <span class="opc">pluck</span> <span class="opc">ampdb</span>(p4)<span class="op">*</span>kenv, <span class="opc">cpspch</span>(ipitch), <span class="opc">cpspch</span>(ipitch), 0, 1
<span class="opc">outs</span> asig, asig
<span class="oblock">endin</span>
<span class="csdtag"></CsInstruments></span>
<span class="csdtag"><CsScore></span>
<span class="stamnt">f</span>1 0 32 -2 6.00 6.02 6.04 6.05 6.07 6.09 6.11 <span class="comment">; f1 is a pitch table defining a four octave C major scale starting </span>
7.00 7.02 7.04 7.05 7.07 7.09 7.11 <span class="comment">; on C two octaves below middle C</span>
8.00 8.02 8.04 8.05 8.07 8.09 8.11
9.00 9.02 9.04 9.05 9.07 9.09 9.11
<span class="comment">;ins start dur ampdb(p4) pitchndx(p5)</span>
<span class="stamnt">i</span>1 0 12.0 75 3
<span class="stamnt">i</span>1 1.5999 12.0 75 4
<span class="stamnt">i</span>1 3.4000 12.0 75 5
<span class="stamnt">i</span>1 4.2000 12.0 75 6
<span class="stamnt">i</span>1 4.4000 12.0 75 7
<span class="stamnt">i</span>1 4.6000 12.0 75 9
<span class="stamnt">i</span>1 4.8000 12.0 75 10
<span class="stamnt">i</span>1 5.0000 12.0 75 5
<span class="stamnt">i</span>1 5.2000 12.0 75 27
<span class="stamnt">i</span>1 5.4000 12.0 75 5
<span class="stamnt">i</span>1 5.6000 12.0 75 20
<span class="stamnt">i</span>1 6.0000 12.0 75 24
<span class="stamnt">i</span>1 6.2000 12.0 75 2
<span class="stamnt">i</span>1 6.4000 12.0 75 27
<span class="stamnt">i</span>1 6.6000 12.0 75 20
<span class="stamnt">i</span>1 6.8000 12.0 75 15
<span class="stamnt">i</span>1 7.0000 12.0 75 3
<span class="stamnt">i</span>1 7.2000 12.0 75 3
<span class="stamnt">i</span>1 7.4000 12.0 75 23
<span class="stamnt">i</span>1 7.6000 12.0 75 9
<span class="stamnt">i</span>1 7.8000 12.0 75 17
<span class="stamnt">i</span>1 8.0000 12.0 75 18
<span class="stamnt">i</span>1 8.2000 12.0 75 3
<span class="stamnt">i</span>1 8.4000 12.0 75 26
<span class="stamnt">i</span>1 8.6000 12.0 75 15
<span class="stamnt">i</span>1 8.8 12.0 75 2
<span class="stamnt">i</span>1 9 12.0 75 26
<span class="stamnt">i</span>1 9.2 12.0 75 8
<span class="stamnt">i</span>1 9.3999 12.0 75 22
<span class="stamnt">i</span>1 9.5999 12.0 75 22
<span class="stamnt">i</span>1 9.7999 12.0 75 20
<span class="stamnt">i</span>1 9.9999 12.0 75 19
<span class="stamnt">i</span>1 10.399 12.0 75 20
<span class="stamnt">i</span>1 10.799 12.0 75 22
<span class="stamnt">i</span>1 10.999 12.0 75 27
<span class="stamnt">i</span>1 11.199 12.0 75 25
<span class="stamnt">i</span>1 11.399 12.0 75 20
<span class="stamnt">i</span>1 11.599 12.0 75 21
<span class="stamnt">i</span>1 11.799 12.0 75 24
<span class="stamnt">i</span>1 11.999 12.0 75 24
<span class="stamnt">i</span>1 12.199 12.0 75 4
<span class="stamnt">i</span>1 12.399 12.0 75 13
<span class="stamnt">i</span>1 12.599 12.0 75 15
<span class="stamnt">i</span>1 12.799 12.0 75 14
<span class="stamnt">i</span>1 12.999 12.0 75 3
<span class="stamnt">i</span>1 13.199 12.0 75 21
<span class="stamnt">i</span>1 13.399 12.0 75 6
<span class="stamnt">i</span>1 13.599 12.0 75 3
<span class="stamnt">i</span>1 13.799 12.0 75 10
<span class="stamnt">i</span>1 13.999 12.0 75 25
<span class="stamnt">i</span>1 14.199 12.0 75 21
<span class="stamnt">i</span>1 14.399 12.0 75 20
<span class="stamnt">i</span>1 14.599 12.0 75 19
<span class="stamnt">i</span>1 14.799 12.0 75 18
<span class="stamnt">i</span>1 15.199 12.0 75 17
<span class="stamnt">i</span>1 15.599 12.0 75 16
<span class="stamnt">i</span>1 15.999 12.0 75 15
<span class="stamnt">i</span>1 16.599 12.0 75 14
<span class="stamnt">i</span>1 17.199 12.0 75 13
<span class="stamnt">i</span>1 18.399 12.0 75 12
<span class="stamnt">i</span>1 18.599 12.0 75 11
<span class="stamnt">i</span>1 19.199 12.0 75 10
<span class="stamnt">i</span>1 19.799 12.0 75 9
<span class="stamnt">e</span>
<span class="csdtag"></CsScore></span>
<span class="csdtag"></CsoundSynthesizer></span>
</pre>
</div>
</div>
<p><br class="example-break" />
</p>
</div>
<div class="refsect1" title="See Also">
<a id="idp30245696"></a>
<h2>See Also</h2>
<p>
More information on this opcode: <a class="ulink" href="http://mymbs.mbs.net/~pfisher/FOV2-0010016C/FOV2-0010016E/FOV2-001001A3/chapters/35evans/intro.html" target="_top"><em class="citetitle">Composing Fractal Music with Csound</em></a>, by Brian Evans
</p>
</div>
<div class="refsect1" title="Credits">
<a id="idp30246872"></a>
<h2>Credits</h2>
<p>Written by Gabriel Maldonado.</p>
<p>New in Csound 5 (Previously available only on CsoundAV)</p>
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