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<h2>
<span class="refentrytitle">GEN19</span>
</h2>
<p>GEN19 —
Generate composite waveforms made up of weighted sums of simple sinusoids.
</p>
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<div class="refsect1">
<a id="idm281472819265928"></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 4 p-fields using <span class="emphasis"><em>GEN19</em></span>.
</p>
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<div class="refsect1">
<a id="idm281472819222248"></a>
<h2>Syntax</h2>
<pre class="synopsis"><span class="command"><strong>f</strong></span> # time size 19 pna stra phsa dcoa pnb strb phsb dcob ...</pre>
</div>
<div class="refsect1">
<a id="idm281472819220232"></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>pna, pnb</em></span>, etc. -- partial no. (relative to a fundamental that would occupy <span class="emphasis"><em>size</em></span> locations per cycle) of sinusoid a, sinusoid b, etc. Must be positive, but need not be a whole number, i.e., non-harmonic partials are permitted. Partials may be in any order.
</p>
<p>
<span class="emphasis"><em>stra, strb</em></span>, etc. -- strength of partials <span class="emphasis"><em>pna, pnb</em></span>, etc. These are relative strengths, since the composite waveform may be rescaled later. Negative values are permitted and imply a 180 degree phase shift.
</p>
<p>
<span class="emphasis"><em>phsa, phsb</em></span>, etc. -- initial phase of partials <span class="emphasis"><em>pna, pnb,</em></span> etc., expressed in degrees.
</p>
<p>
<span class="emphasis"><em>dcoa, dcob</em></span>, etc. -- DC offset of partials <span class="emphasis"><em>pna, pnb</em></span>, etc. This is applied <span class="emphasis"><em>after</em></span> strength scaling, i.e. a value of 2 will lift a 2-strength sinusoid from range [-2,2] to range [0,4] (before later rescaling).
</p>
<div class="note" style="margin-left: 0.5in; margin-right: 0.5in;">
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<th align="left">Note</th>
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<p>
</p>
<div class="itemizedlist">
<ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<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.
</p>
</li>
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<div class="refsect1">
<a id="idm281472819206216"></a>
<h2>Examples</h2>
<p>
Here is an example of the GEN19 routine. It uses the files <a class="ulink" href="examples/gen19.csd" target="_top"><em class="citetitle">gen19.csd</em></a>.
</p>
<div class="example">
<a id="idm281472819204360"></a>
<p class="title">
<strong>Example 1200. An example of the GEN19 routine.</strong>
</p>
<div class="example-contents">
<div class="refsect1">
<a id="idm281472680776744"></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 gen19.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">;p4 = transposition factor</span>
<span class="c1">;p5 = speed factor</span>
<span class="c1">;p6 = function table for grain data</span>
i<span class="n">1</span> <span class="o">=</span> <span class="vg">sr</span><span class="o">/</span><span class="nb">ftlen</span><span class="p">(</span><span class="mi">1</span><span class="p">)</span> <span class="c1">;scaling to reflect sample rate and table length</span>
a<span class="n">1</span> <span class="nb">phasor</span> i<span class="n">1</span><span class="o">*</span><span class="nb">p5</span> <span class="c1">;index for speed</span>
a<span class="n">sigl</span> <span class="nb">fog</span> <span class="mf">.5</span><span class="p">,</span> <span class="mi">15</span><span class="p">,</span> <span class="nb">p4</span><span class="p">,</span> a<span class="n">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mf">.01</span><span class="p">,</span> <span class="mf">.5</span><span class="p">,</span> <span class="mf">.01</span><span class="p">,</span> <span class="mi">30</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="nb">p3</span> <span class="c1">;left channel</span>
a<span class="n">sigr</span> <span class="nb">fog</span> <span class="mf">.4</span><span class="p">,</span> <span class="mi">25</span><span class="p">,</span> <span class="nb">p4</span><span class="o">+</span><span class="mf">.2</span><span class="p">,</span> a<span class="n">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mf">.01</span><span class="p">,</span> <span class="mf">.5</span><span class="p">,</span> <span class="mf">.01</span><span class="p">,</span> <span class="mi">30</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="nb">p3</span><span class="p">,</span> <span class="mf">.5</span> <span class="c1">;right channel</span>
<span class="nb">outs</span> a<span class="n">sigl</span><span class="p">,</span> a<span class="n">sigr</span>
<span class="kd">endin</span>
<span class="nt"></CsInstruments></span>
<span class="nt"><CsScore></span>
<span class="nb">f</span> <span class="mi">1</span> <span class="mi">0</span> <span class="mi">131072</span> <span class="mi">1</span> <span class="s">"fox.wav"</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mi">0</span>
<span class="nb">f</span> <span class="mi">2</span> <span class="mi">0</span> <span class="mi">1024</span> <span class="mi">19</span> <span class="mf">.5</span> <span class="mf">.5</span> <span class="mi">270</span> <span class="mf">.5</span>
<span class="nb">i</span> <span class="mi">1</span> <span class="mi">0</span> <span class="mi">10</span> <span class="mf">.7</span> <span class="mf">.1</span>
<span class="nb">i</span> <span class="mi">1</span> <span class="o">+</span> <span class="mi">4</span> <span class="mf">1.2</span> <span class="mi">2</span>
<span class="nb">e</span>
<span class="nt"></CsScore></span>
<span class="nt"></CsoundSynthesizer></span>
</pre>
</div>
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<p><br class="example-break" />
<span class="phrase">This is the diagram of the waveform of the GEN19 routines, as used in the example:</span>
</p>
<div class="mediaobject">
<img src="images/gen19_1.png" alt="f 2 0 1024 19 .5 .5 270 .5 - a rising sigmoid" />
<div class="caption">
<p>f 2 0 1024 19 .5 .5 270 .5 - a rising sigmoid</p>
</div>
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<p>
</p>
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<div class="refsect1">
<a id="idm281472819198248"></a>
<h2>See Also</h2>
<p>
<a class="link" href="GEN09.html" title="GEN09"><em class="citetitle">GEN09</em></a> and
<a class="link" href="GEN10.html" title="GEN10"><em class="citetitle">GEN10</em></a>
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