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<h2>
<span class="refentrytitle">GEN16</span>
</h2>
<p>GEN16 —
Creates a table from a starting value to an ending value.
</p>
</div>
<div class="refsect1" title="Description">
<a id="idp77717464"></a>
<h2>Description</h2>
<p>
Creates a table from <span class="emphasis"><em>beg</em></span> value to <span class="emphasis"><em>end</em></span> value of <span class="emphasis"><em>dur</em></span> steps.
</p>
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<div class="refsect1" title="Syntax">
<a id="idp77718752"></a>
<h2>Syntax</h2>
<pre class="synopsis"><span class="command"><strong>f</strong></span> # time size 16 val1 dur1 type1 val2 [dur2 type2 val3 ... typeX valN]</pre>
</div>
<div class="refsect1" title="Initialization">
<a id="idp77777384"></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 a 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>). The
normal value is power-of-2 plus 1.
</p>
<div class="note" title="Note" style="margin-left: 0.5in; margin-right: 0.5in;">
<table border="0" summary="Note">
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<td rowspan="2" align="center" valign="top" width="25">
<img alt="[Note]" src="images/note.png" />
</td>
<th align="left">Note</th>
</tr>
<tr>
<td align="left" valign="top">
The end value is only reached when the table length is power-of-2 plus 1.
(This length is crucial for use with the tab opcode.)
</td>
</tr>
</table>
</div>
<p>
<span class="emphasis"><em>beg</em></span> -- starting value
</p>
<p>
<span class="emphasis"><em>dur</em></span> -- number of segments
</p>
<p>
<span class="emphasis"><em>type</em></span> -- if 0, a straight line is produced. If non-zero, then <span class="emphasis"><em>GEN16</em></span> creates the following curve, for <span class="emphasis"><em>dur</em></span> steps:
</p>
<div class="literallayout">
<p><br />
beg + (end - beg) * (1 - exp( i*type/(dur-1) )) / (1 - exp(type))<br />
</p>
</div>
<p>
</p>
<p>
<span class="emphasis"><em>end</em></span> -- value after <span class="emphasis"><em>dur</em></span> segments
</p>
<p>
Here are some examples of the curves generated for different values of <span class="emphasis"><em>type</em></span>:
</p>
<div class="mediaobject">
<img src="images/gen16_types.png" alt="Tables generated by GEN16 for different values of type." />
<div class="caption">
<p>Tables generated by GEN16 for different values of type.</p>
</div>
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<p>
</p>
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<td rowspan="2" align="center" valign="top" width="25">
<img alt="[Note]" src="images/note.png" />
</td>
<th align="left">Note</th>
</tr>
<tr>
<td align="left" valign="top">
<p>
If <span class="emphasis"><em>type</em></span> > 0, there is a slowly rising (concave) or slowly decaying
(convex) curve, while if <span class="emphasis"><em>itype</em></span> < 0, the curve is fast rising (convex) or
fast decaying (concave). See also <a class="link" href="transeg.html" title="transeg"><em class="citetitle">transeg</em></a>.
</p>
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<div class="refsect1">
<a id="idp77786160"></a>
<div class="example">
<a id="idp77786288"></a>
<p class="title">
<strong>Example 1052. A simple example of the GEN16 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>
<span class="comment">; Audio out Audio in</span>
-odac -iadc <span class="comment">;;;RT audio I/O</span>
<span class="comment">; For Non-realtime ouput leave only the line below:</span>
<span class="comment">; -o gen16.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> 128
<span class="ohdr">nchnls</span> <span class="op">=</span> 1
<span class="oblock">instr</span> 1
kcps <span class="opc">init</span> 1<span class="op">/</span>p3
kndx <span class="opc">phasor</span> kcps
ifn <span class="op">=</span> p4
ixmode <span class="op">=</span> 1
kval <span class="opc">table</span> kndx, ifn, ixmode
ibasefreq <span class="op">=</span> 440
kfreq <span class="op">=</span> kval <span class="op">*</span> ibasefreq
a1 <span class="opc">oscil</span> 20000, ibasefreq <span class="op">+</span> kfreq, 1
<span class="opc">out</span> a1
<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="stamnt">f</span> 2 0 1024 16 1 1024 1 0
<span class="stamnt">f</span> 3 0 1024 16 1 1024 2 0
<span class="stamnt">f</span> 4 0 1024 16 1 1024 10 0
<span class="stamnt">f</span> 5 0 1024 16 1 1024 -1 0
<span class="stamnt">f</span> 6 0 1024 16 1 1024 -2 0
<span class="stamnt">f</span> 7 0 1024 16 1 1024 -10 0
<span class="stamnt">i</span> 1 0 2 2
<span class="stamnt">i</span> 1 + . 3
<span class="stamnt">i</span> 1 + . 4
<span class="stamnt">i</span> 1 + . 5
<span class="stamnt">i</span> 1 + . 6
<span class="stamnt">i</span> 1 + . 7
<span class="stamnt">e</span>
<span class="csdtag"></CsScore></span>
<span class="csdtag"></CsoundSynthesizer></span>
</pre>
</div>
</div>
<br class="example-break" />
</div>
<div class="refsect1" title="Credits">
<a id="idp77787240"></a>
<h2>Credits</h2>
<p>
</p>
<table border="0" summary="Simple list" class="simplelist">
<tr>
<td>Author: John ffitch</td>
</tr>
<tr>
<td>University of Bath, Codemist. Ltd.</td>
</tr>
<tr>
<td>Bath, UK</td>
</tr>
<tr>
<td>October, 2000</td>
</tr>
</table>
<p>
</p>
<p>New in Csound version 4.09</p>
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