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<h2>
<span class="refentrytitle">GEN07</span>
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<p>GEN07 —
Constructs functions from segments of straight lines.
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<div class="refsect1" title="Description">
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<h2>Description</h2>
<p>
Constructs functions from segments of straight lines.
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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 7 a n1 b n2 c ...</pre>
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<div class="refsect1" title="Initialization">
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<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>a, b, c,</em></span> etc. -- ordinate values, in odd-numbered pfields p5, p7, p9, . . .
</p>
<p>
<span class="emphasis"><em>n1, n2</em></span>, etc. -- length of segment (no. of storage locations), in even-numbered pfields. Cannot be negative, but a zero is meaningful for specifying discontinuous waveforms (e.g. in the example below). The sum <span class="emphasis"><em>n1</em></span> + <span class="emphasis"><em>n2</em></span> + .... will normally equal <span class="emphasis"><em>size</em></span> for fully specified functions. If the sum is smaller, the function locations not included will be set to zero; if the sum is greater, only the first <span class="emphasis"><em>size</em></span> locations will be stored.
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<p>
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<p>
If p4 is positive, functions are post-normalized (rescaled to a maximum absolute value of 1 after generation). A negative p4 will cause rescaling to be skipped.
</p>
</li>
<li class="listitem">
<p>
Discrete-point linear interpolation implies an increase or decrease along a segment by equal differences between adjacent locations; exponential interpolation implies that the progression is by equal ratio. In both forms the interpolation from <span class="emphasis"><em>a</em></span> to <span class="emphasis"><em>b</em></span> is such as to assume that the value <span class="emphasis"><em>b</em></span> will be attained in the n + 1th location. For discontinuous functions, and for the segment encompassing the end location, this value will not actually be reached, although it may eventually appear as a result of final scaling.
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<div class="refsect1" title="Examples">
<a id="id3732524"></a>
<h2>Examples</h2>
<p>
Here is a simple example of the GEN07 routine. It uses the file <a class="ulink" href="examples/gen07.csd" target="_top"><em class="citetitle">gen07.csd</em></a>. It will create a single-cycle sawtooth whose discontinuity is mid-way in the stored function. Here is its diagram:
</p>
<div class="mediaobject">
<img src="images/gen07.png" alt="Diagram of the waveform generated by GEN07." />
<div class="caption">
<p>Diagram of the waveform generated by GEN07.</p>
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<p>
</p>
<div class="example">
<a id="id3732573"></a>
<p class="title">
<b>Example 738. A simple example of the GEN07 routine.</b>
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<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>
<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 gen07.wav -W ;;; for file output any platform</span>
<span class="csdtag"></CsOptions></span>
<span class="csdtag"><CsInstruments></span>
<span class="comment">; Initialize the global variables.</span>
<span class="ohdr">sr</span> <span class="op">=</span> 44100
<span class="ohdr">kr</span> <span class="op">=</span> 4410
<span class="ohdr">ksmps</span> <span class="op">=</span> 10
<span class="ohdr">nchnls</span> <span class="op">=</span> 1
<span class="comment">; Instrument #1.</span>
<span class="oblock">instr</span> 1
kamp <span class="op">=</span> 30000
kcps <span class="op">=</span> 440
ifn <span class="op">=</span> 1
<span class="comment">; Play the sine wave stored in Table #1.</span>
a1 <span class="opc">oscil</span> kamp, kcps, ifn
<span class="opc">out</span> a1
<span class="oblock">endin</span>
<span class="csdtag"></CsInstruments></span>
<span class="csdtag"><CsScore></span>
<span class="comment">; Table #1: a sawtooth wave (using GEN07).</span>
<span class="stamnt">f</span> 1 0 256 7 0 128 1 0 -1 128 0
<span class="comment">; Play Instrument #1 for 2 seconds.</span>
<span class="stamnt">i</span> 1 0 2
<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" />
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<div class="refsect1" title="See Also">
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<h2>See Also</h2>
<p>
<a class="link" href="GEN05.html" title="GEN05"><em class="citetitle">GEN05</em></a>,
<a class="link" href="GEN06.html" title="GEN06"><em class="citetitle">GEN06</em></a>, and
<a class="link" href="GEN08.html" title="GEN08"><em class="citetitle">GEN08</em></a>
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