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<h2 class="title" style="clear: both"><a id="ScoreGenRef"></a>GEN Routines</h2>
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<p>GEN routines are used as data generators for function tables. When a function table is created using the <a class="link" href="f.html" title="f Statement (or Function Table Statement)"><em class="citetitle">f score statement</em></a> the GEN function is given as its fourth argument. A negative GEN number implies that the function is not rescaled, and maintains its original values.</p>
<h3><a id="idp76985512"></a>Sine/Cosine Generators: </h3>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GEN09.html" title="GEN09"><em class="citetitle">GEN09</em></a> - Composite waveforms made up of weighted sums of simple sinusoids.</li>
<li class="listitem"><a class="link" href="GEN10.html" title="GEN10"><em class="citetitle">GEN10</em></a> - Composite waveforms made up of weighted sums of simple sinusoids.</li>
<li class="listitem"><a class="link" href="GEN11.html" title="GEN11"><em class="citetitle">GEN11</em></a> - Additive set of cosine partials.</li>
<li class="listitem"><a class="link" href="GEN19.html" title="GEN19"><em class="citetitle">GEN19</em></a> - Composite waveforms made up of weighted sums of simple sinusoids.</li>
<li class="listitem"><a class="link" href="GEN30.html" title="GEN30"><em class="citetitle">GEN30</em></a> - Generates harmonic partials by analyzing an existing table.</li>
<li class="listitem"><a class="link" href="GEN33.html" title="GEN33"><em class="citetitle">GEN33</em></a> - Generate composite waveforms by mixing simple sinusoids.</li>
<li class="listitem"><a class="link" href="GEN34.html" title="GEN34"><em class="citetitle">GEN34</em></a> - Generate composite waveforms by mixing simple sinusoids.</li>
</ul>
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<h3><a id="idp76992112"></a>
Line/Exponential Segment Generators:
</h3>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GEN05.html" title="GEN05"><em class="citetitle">GEN05</em></a> - Constructs functions from segments of exponential curves.</li>
<li class="listitem"><a class="link" href="GEN06.html" title="GEN06"><em class="citetitle">GEN06</em></a> - Generates a function comprised of segments of cubic polynomials.</li>
<li class="listitem"><a class="link" href="GEN07.html" title="GEN07"><em class="citetitle">GEN07</em></a> - Constructs functions from segments of straight lines.</li>
<li class="listitem"><a class="link" href="GEN08.html" title="GEN08"><em class="citetitle">GEN08</em></a> - Generate a piecewise cubic spline curve.</li>
<li class="listitem"><a class="link" href="GEN16.html" title="GEN16"><em class="citetitle">GEN16</em></a> - Creates a table from a starting value to an ending value.</li>
<li class="listitem"><a class="link" href="GEN25.html" title="GEN25"><em class="citetitle">GEN25</em></a> - Construct functions from segments of exponential curves in breakpoint fashion.</li>
<li class="listitem"><a class="link" href="GEN27.html" title="GEN27"><em class="citetitle">GEN27</em></a> - Construct functions from segments of straight lines in breakpoint fashion.</li>
</ul>
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<h3><a id="idp76998760"></a>
File Access GEN Routines:
</h3>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GEN01.html" title="GEN01"><em class="citetitle">GEN01</em></a> - Transfers data from a soundfile into a function table.</li>
<li class="listitem"><a class="link" href="GEN23.html" title="GEN23"><em class="citetitle">GEN23</em></a> - Reads numeric values from a text file.</li>
<li class="listitem"><a class="link" href="GEN28.html" title="GEN28"><em class="citetitle">GEN28</em></a> - Reads a text file which contains a time-tagged trajectory.</li>
<li class="listitem"><a class="link" href="GEN49.html" title="GEN49"><em class="citetitle">GEN49</em></a>
- Transfers data from an MP3 soundfile into a function table.</li>
</ul>
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<h3><a id="idp77002632"></a>
Numeric Value Access GEN Routines
</h3>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GEN02.html" title="GEN02"><em class="citetitle">GEN02</em></a> - Transfers data from immediate pfields into a function table.</li>
<li class="listitem"><a class="link" href="GEN17.html" title="GEN17"><em class="citetitle">GEN17</em></a> - Creates a step function from given x-y pairs.</li>
<li class="listitem"><a class="link" href="GEN52.html" title="GEN52"><em class="citetitle">GEN52</em></a> - Creates an interleaved multichannel table from the specified source tables, in the format expected by the <span class="emphasis"><em>ftconv</em></span> opcode.</li>
</ul>
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<h3><a id="idp77005984"></a>
Window Function GEN Routines
</h3>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GEN20.html" title="GEN20"><em class="citetitle">GEN20</em></a> - Generates functions of different windows.</li>
</ul>
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<h3><a id="idp77015848"></a>
Random Function GEN Routines
</h3>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GEN21.html" title="GEN21"><em class="citetitle">GEN21</em></a> - Generates tables of different random distributions.</li>
<li class="listitem"><a class="link" href="GEN40.html" title="GEN40"><em class="citetitle">GEN40</em></a> - Generates a random distribution using a distribution histogram.</li>
<li class="listitem"><a class="link" href="GEN41.html" title="GEN41"><em class="citetitle">GEN41</em></a> - Generates a random list of numerical pairs.</li>
<li class="listitem"><a class="link" href="GEN42.html" title="GEN42"><em class="citetitle">GEN42</em></a> - Generates a random distribution of discrete ranges of values.</li>
<li class="listitem"><a class="link" href="GEN43.html" title="GEN43"><em class="citetitle">GEN43</em></a> - Loads a PVOCEX file containing a PV analysis.</li>
</ul>
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<h3><a id="idp77020608"></a>
Waveshaping GEN Routines
</h3>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GEN03.html" title="GEN03"><em class="citetitle">GEN03</em></a> - Generates a stored function table by evaluating a polynomial.</li>
<li class="listitem"><a class="link" href="GEN13.html" title="GEN13"><em class="citetitle">GEN13</em></a> - Stores a polynomial whose coefficients derive from the Chebyshev polynomials of the first kind.</li>
<li class="listitem"><a class="link" href="GEN14.html" title="GEN14"><em class="citetitle">GEN14</em></a> - Stores a polynomial whose coefficients derive from Chebyshevs of the second kind.</li>
<li class="listitem"><a class="link" href="GEN15.html" title="GEN15"><em class="citetitle">GEN15</em></a> - Creates two tables of stored polynomial functions.</li>
</ul>
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<h3><a id="idp77024800"></a>
Amplitude Scaling GEN Routines
</h3>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GEN04.html" title="GEN04"><em class="citetitle">GEN04</em></a> - Generates a normalizing function.</li>
<li class="listitem"><a class="link" href="GEN12.html" title="GEN12"><em class="citetitle">GEN12</em></a> - Generates the log of a modified Bessel function of the second kind.</li>
<li class="listitem"><a class="link" href="GEN24.html" title="GEN24"><em class="citetitle">GEN24</em></a> - Reads numeric values from another allocated function-table and rescales them.</li>
</ul>
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<h3><a id="idp77028032"></a>
Mixing GEN Routines
</h3>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GEN18.html" title="GEN18"><em class="citetitle">GEN18</em></a> - Writes composite waveforms made up of pre-existing waveforms.</li>
<li class="listitem"><a class="link" href="GEN31.html" title="GEN31"><em class="citetitle">GEN31</em></a> - Mixes any waveform specified in an existing table.</li>
<li class="listitem"><a class="link" href="GEN32.html" title="GEN32"><em class="citetitle">GEN32</em></a> - Mixes any waveform, resampled with either FFT or linear interpolation.</li>
</ul>
</div>
<h3><a id="idp77031192"></a>
Pitch and Tuning GEN Routines
</h3>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GEN51.html" title="GEN51"><em class="citetitle">GEN51</em></a> - fills a table with a fully customized micro-tuning scale, in the manner of Csound opcodes <span class="emphasis"><em>cpstun</em></span>, <span class="emphasis"><em>cpstuni</em></span> and <span class="emphasis"><em>cpstmid</em></span>.</li>
</ul>
</div>
<h3><a id="idp77033208"></a>
Named GEN Routines
</h3>
<p>Csound's GEN routines can be extended with GEN function plugins. There is currently a simple GEN plugin that provides exponential and hyperbolic tangent functions, and the sone function. There is also a generator called farey for the Farey sequence operations. These GEN functions are not called by number, but by name.</p>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem"><a class="link" href="GENtanh.html" title="GENtanh"><em class="citetitle">"tanh"</em></a> - fills a table from a hyperbolic tangent formula.</li>
<li class="listitem"><a class="link" href="GENexp.html" title="GENexp"><em class="citetitle">"exp"</em></a> - fills a table from an exponential formula.</li>
<li class="listitem"><a class="link" href="GENsone.html" title="GENsone"><em class="citetitle">"sone"</em></a> - fills a table from a sone function formula.</li>
<li class="listitem"><a class="link" href="GENfarey.html" title="GENfarey"><em class="citetitle">"farey"</em></a> - fills a table from a Farey sequence.</li>
<li class="listitem"><a class="link" href="GENwave.html" title="GENwave"><em class="citetitle">"wave"</em></a>
- fills a table from a wavelet transform.</li>
</ul>
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