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<refentry id="GEN09">
<indexterm id="IndexGEN09"><primary>GEN09</primary></indexterm>
<refmeta>
<refentrytitle>GEN09</refentrytitle>
</refmeta>
<refnamediv>
<refname>GEN09</refname>
<refpurpose>
Generate composite waveforms made up of weighted sums of simple sinusoids.
</refpurpose>
</refnamediv>
<refsect1>
<title>Description</title>
<para>
These subroutines generate composite waveforms made up of weighted sums of simple sinusoids. The specification of each contributing partial requires 3 p-fields using <emphasis>GEN09</emphasis>.
</para>
</refsect1>
<refsect1>
<title>Syntax</title>
<synopsis><command>f</command> # time size 9 pna stra phsa pnb strb phsb ...</synopsis>
</refsect1>
<refsect1>
<title>Initialization</title>
<para>
<emphasis>size</emphasis> -- number of points in the table. Must be a power of 2 or power-of-2 plus 1 (see <link linkend="f"><citetitle>f statement</citetitle></link>).
</para>
<para>
<emphasis>pna, pnb</emphasis>, etc. -- partial no. (relative to a fundamental that would occupy <emphasis>size</emphasis> 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.
</para>
<para>
<emphasis>stra, strb</emphasis>, etc. -- strength of partials <emphasis>pna, pnb</emphasis>, etc. These are relative strengths, since the composite waveform may be rescaled later. Negative values are permitted and imply a 180 degree phase shift.
</para>
<para>
<emphasis>phsa, phsb</emphasis>, etc. -- initial phase of partials <emphasis>pna, pnb,</emphasis> etc., expressed in degrees (0-360).
</para>
<note>
<title>Note</title>
<para>
<itemizedlist>
<listitem>
<para>
These subroutines generate stored functions as sums of sinusoids of different frequencies. The two major restrictions on <emphasis>GEN10</emphasis> that the partials be harmonic and in phase do not apply to <emphasis>GEN09</emphasis> or <emphasis>GEN19</emphasis>.
</para>
<para>
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.
</para>
</listitem>
</itemizedlist>
</para>
</note>
</refsect1>
<refsect1>
<title>Examples</title>
<para>
Here is a simple example of the GEN09 routine. It uses the file <ulink url="examples/gen09.csd"><citetitle>gen09.csd</citetitle></ulink>. It will generate a cosine wave, a sine wave with an initial phase of 90 degrees. Here is its diagram:
<mediaobject>
<imageobject>
<imagedata fileref="images/gen09.png" format="PNG"/>
</imageobject>
<textobject>
<phrase>Diagram of the waveform generated by GEN09.</phrase>
</textobject>
<caption>
<para>Diagram of the waveform generated by GEN09.</para>
</caption>
</mediaobject>
<example>
<title>A simple example of the GEN09 routine.</title>
<para>
See the sections <link linkend="UsingRealTime"><citetitle>Real-time Audio</citetitle></link> and <link linkend="CommandFlags"><citetitle>Command Line Flags</citetitle></link> for more information on using command line flags.
</para>
<xi:include href="examples-xml/gen09.csd.xml" xmlns:xi="http://www.w3.org/2001/XInclude"/>
</example>
</para>
<para>
Here is another example of the GEN09 routine. It uses the file <ulink url="examples/gen09square.csd"><citetitle>gen09square.csd</citetitle></ulink>. It combines partials l, 3 and 9 in the relative strengths in which they are found in a square wave, except that partial 9 is upside down. It will be rescaled, here is its diagram:
<mediaobject>
<imageobject>
<imagedata fileref="images/gen09square.png" format="PNG"/>
</imageobject>
<textobject>
<phrase>Diagram of the waveform generated by GEN09.</phrase>
</textobject>
<caption>
<para>Diagram of the waveform generated by GEN09.</para>
</caption>
</mediaobject>
<example>
<title>A square wave generated by the GEN09 routine.</title>
<xi:include href="examples-xml/gen09square.csd.xml" xmlns:xi="http://www.w3.org/2001/XInclude"/>
</example>
</para>
</refsect1>
<refsect1>
<title>See Also</title>
<para>
<link linkend="GEN10"><citetitle>GEN10</citetitle></link>,
<link linkend="GEN19"><citetitle>GEN19</citetitle></link>
</para>
</refsect1>
<refsect1>
<title>Credits</title>
<para>The simple example was written by &namekevin;.</para>
</refsect1>
</refentry>
|
