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<div class="refentry" title="GEN07">
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<h2>
<span class="refentrytitle">GEN07</span>
</h2>
<p>GEN07 —
Constructs functions from segments of straight lines.
</p>
</div>
<div class="refsect1" title="Description">
<a id="idp77300048"></a>
<h2>Description</h2>
<p>
Constructs functions from segments of straight lines.
</p>
</div>
<div class="refsect1" title="Syntax">
<a id="idp77300792"></a>
<h2>Syntax</h2>
<pre class="synopsis"><span class="command"><strong>f</strong></span> # time size 7 a n1 b n2 c ...</pre>
</div>
<div class="refsect1" title="Initialization">
<a id="idp77352896"></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>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.
</p>
<div class="note" title="Note" style="margin-left: 0.5in; margin-right: 0.5in;">
<table border="0" summary="Note: Note">
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<img alt="[Note]" src="images/note.png" />
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<th align="left">Note</th>
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<p>
</p>
<div class="itemizedlist">
<ul class="itemizedlist" type="disc">
<li class="listitem">
<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.
</p>
</li>
</ul>
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<p>
</p>
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</div>
<div class="refsect1" title="Examples">
<a id="idp77359896"></a>
<h2>Examples</h2>
<p>
Here is an example of the GEN07 routine. It uses the files <a class="ulink" href="examples/gen07.csd" target="_top"><em class="citetitle">gen07.csd</em></a>.
</p>
<div class="example">
<a id="idp77360872"></a>
<p class="title">
<strong>Example 1043. An example of the GEN07 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 gen07.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 <span class="comment">;use GEN07 to alter frequency</span>
ifn <span class="op">=</span> p4 <span class="comment">;use different GEN07 tables</span>
kcps <span class="opc">init</span> 10<span class="op">/</span>p3 <span class="comment">;index ftable 10 times over the duration of entire note</span>
kndx <span class="opc">phasor</span> kcps
ixmode <span class="op">=</span> 1 <span class="comment">;normalize index data</span>
kfrq <span class="opc">tablei</span> kndx, ifn, ixmode
kfrq <span class="op">=</span> kfrq<span class="op">*</span>1000 <span class="comment">;scale</span>
asig <span class="opc">poscil</span> .8, 1220<span class="op">+</span>kfrq, 1 <span class="comment">;add to frequency</span>
<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 8192 10 1 <span class="comment">;sine wave</span>
<span class="stamnt">f</span> 2 0 1024 7 0 512 1 0 -1 512 0 <span class="comment">;sawtooth up and down</span>
<span class="stamnt">f</span> 3 0 1024 7 1 512 1 0 -1 512 -1 <span class="comment">;square</span>
<span class="stamnt">f</span> 4 0 1024 7 1 1024 -1 <span class="comment">;saw down</span>
<span class="stamnt">i</span> 1 0 2 2
<span class="stamnt">i</span> 1 + 2 3
<span class="stamnt">i</span> 1 + 1 4
<span class="stamnt">e</span>
<span class="csdtag"></CsScore></span>
<span class="csdtag"></CsoundSynthesizer></span>
</pre>
</div>
</div>
<p><br class="example-break" />
<span>These are the diagrams of the waveforms of the GEN07 routines, as used in the example:</span>
</p>
<div class="mediaobject">
<img src="images/gen07_1.png" alt="f 2 0 1024 7 0 512 1 0 -1 512 0 - sawtooth up and down, starting and ending at 0" />
<div class="caption">
<p>f 2 0 1024 7 0 512 1 0 -1 512 0 - sawtooth up and down, starting and ending at 0</p>
</div>
</div>
<p>
</p>
<div class="mediaobject">
<img src="images/gen07_2.png" alt="f 3 0 1024 7 1 512 1 0 -1 512 -1 - a square from positive to negative" />
<div class="caption">
<p>f 3 0 1024 7 1 512 1 0 -1 512 -1 - a square from positive to negative</p>
</div>
</div>
<p>
</p>
<div class="mediaobject">
<img src="images/gen07_3.png" alt="f 4 0 1024 7 1 1024 -1 - sawtooth down, a straight line from positive to negative" />
<div class="caption">
<p>f 4 0 1024 7 1 1024 -1 - sawtooth down, a straight line from positive to negative</p>
</div>
</div>
<p>
</p>
</div>
<div class="refsect1" title="See Also">
<a id="idp77367656"></a>
<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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