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<h2>
<span class="refentrytitle">GEN10</span>
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<p>GEN10 —
Generate composite waveforms made up of weighted sums of simple sinusoids.
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<div class="refsect1" title="Description">
<a id="idp77426552"></a>
<h2>Description</h2>
<p>
These subroutines generate composite waveforms made up of weighted sums of simple sinusoids. The specification of each contributing partial requires 1 pfield using <span class="emphasis"><em>GEN10</em></span>.
</p>
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<div class="refsect1" title="Syntax">
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<h2>Syntax</h2>
<pre class="synopsis"><span class="command"><strong>f</strong></span> # time size 10 str1 str2 str3 str4 ...</pre>
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<div class="refsect1" title="Initialization">
<a id="idp77430824"></a>
<h2>Initialization</h2>
<p>
<span class="emphasis"><em>size</em></span> -- number of points in the table. Must be a power of 2 or power-of-2 plus 1 (see <a class="link" href="f.html" title="f Statement (or Function Table Statement)"><em class="citetitle">f statement</em></a>).
</p>
<p>
<span class="emphasis"><em>str1, str2, str3, etc.</em></span> -- relative strengths of the fixed harmonic partial numbers 1,2,3, etc., beginning in p5. Partials not required should be given a strength of zero.
</p>
<div class="note" title="Note" style="margin-left: 0.5in; margin-right: 0.5in;">
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<th align="left">Note</th>
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<p>
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<div class="itemizedlist">
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<p>
These subroutines generate stored functions as sums of sinusoids of different frequencies. The two major restrictions on <span class="emphasis"><em>GEN10</em></span> that the partials be harmonic and in phase do not apply to <span class="emphasis"><em>GEN09</em></span> or <span class="emphasis"><em>GEN19</em></span>.
</p>
<p>
In each case the composite wave, once drawn, is then rescaled to unity if p4 was positive. A negative p4 will cause rescaling to be skipped.
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<div class="refsect1" title="Examples">
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<h2>Examples</h2>
<p>
Here is an example of the GEN10 routine. It uses the files <a class="ulink" href="examples/gen10.csd" target="_top"><em class="citetitle">gen10.csd</em></a>.
</p>
<div class="example">
<a id="idp77486272"></a>
<p class="title">
<strong>Example 1046. An example of the GEN10 routine.</strong>
</p>
<div class="example-contents">
<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 gen10.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
kamp <span class="op">=</span> .6
kcps <span class="op">=</span> 440
ifn <span class="op">=</span> p4
asig <span class="opc">oscil</span> kamp, kcps, ifn
<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 16384 10 1 <span class="comment">; Sine</span>
<span class="stamnt">f</span>2 0 16384 10 1 0.5 0.3 0.25 0.2 0.167 0.14 0.125 .111 <span class="comment">; Sawtooth</span>
<span class="stamnt">f</span>3 0 16384 10 1 0 0.3 0 0.2 0 0.14 0 .111 <span class="comment">; Square</span>
<span class="stamnt">f</span>4 0 16384 10 1 1 1 1 0.7 0.5 0.3 0.1 <span class="comment">; Pulse</span>
<span class="stamnt">i</span> 1 0 2 1
<span class="stamnt">i</span> 1 3 2 2
<span class="stamnt">i</span> 1 6 2 3
<span class="stamnt">i</span> 1 9 2 4
<span class="stamnt">e</span>
<span class="csdtag"></CsScore></span>
<span class="csdtag"></CsoundSynthesizer></span>
</pre>
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<p><br class="example-break" />
<span>These are the diagrams of the waveforms of the GEN10 routines, as used in the example:</span>
</p>
<div class="mediaobject">
<img src="images/gen10_1.png" alt="f 1 0 16384 10 1 - sine wave with only the fundamental frequency" />
<div class="caption">
<p>f 1 0 16384 10 1 - sine wave with only the fundamental frequency</p>
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<div class="mediaobject">
<img src="images/gen10_2.png" alt="f 2 0 16384 10 1 0.5 0.3 0.25 0.2 0.167 0.14 0.125 .111 - sawtooth, with a fundamental and 8 harmonics" />
<div class="caption">
<p>f 2 0 16384 10 1 0.5 0.3 0.25 0.2 0.167 0.14 0.125 .111 - sawtooth, with a fundamental and 8 harmonics </p>
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<p>
</p>
<div class="mediaobject">
<img src="images/gen10_3.png" alt="f 3 0 16384 10 1 0 0.3 0 0.2 0 0.14 0 .111 - square wave, with a fundamental and 8 harmonics but 4 have 0 strength" />
<div class="caption">
<p>f 3 0 16384 10 1 0 0.3 0 0.2 0 0.14 0 .111 - square wave, with a fundamental and 8 harmonics but 4 have 0 strength</p>
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<p>
</p>
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<img src="images/gen10_4.png" alt="f 4 0 16384 10 1 1 1 1 0.7 0.5 0.3 0.1 - pulse wave, with a fundamental and 8 harmonics" />
<div class="caption">
<p>f 4 0 16384 10 1 1 1 1 0.7 0.5 0.3 0.1 - pulse wave, with a fundamental and 8 harmonics</p>
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<p>
</p>
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<div class="refsect1" title="See Also">
<a id="idp77494920"></a>
<h2>See Also</h2>
<p>
<a class="link" href="GEN09.html" title="GEN09"><em class="citetitle">GEN09</em></a>,
<a class="link" href="GEN11.html" title="GEN11"><em class="citetitle">GEN11</em></a>, and
<a class="link" href="GEN19.html" title="GEN19"><em class="citetitle">GEN19</em></a>.
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