<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
<title>GEN15</title>
<link rel="stylesheet" href="csound.css" type="text/css" />
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2" />
<link rel="home" href="index.html" title="The Canonical Csound Reference Manual" />
<link rel="up" href="ScoregensTop.html" title="Score Statements and GEN Routines" />
<link rel="prev" href="GEN14.html" title="GEN14" />
<link rel="next" href="GEN16.html" title="GEN16" />
</head>
<body>
<div class="navheader">
<table width="100%" summary="Navigation header">
<tr>
<th colspan="3" align="center">GEN15</th>
</tr>
<tr>
<td width="20%" align="left"><a accesskey="p" href="GEN14.html">Prev</a> </td>
<th width="60%" align="center">Score Statements and GEN Routines</th>
<td width="20%" align="right"> <a accesskey="n" href="GEN16.html">Next</a></td>
</tr>
</table>
<hr />
</div>
<div class="refentry" title="GEN15">
<a id="GEN15"></a>
<div class="titlepage"></div>
<a id="IndexGEN15" class="indexterm"></a>
<div class="refnamediv">
<h2>
<span class="refentrytitle">GEN15</span>
</h2>
<p>GEN15 —
Creates two tables of stored polynomial functions.
</p>
</div>
<div class="refsect1" title="Description">
<a id="id3736659"></a>
<h2>Description</h2>
<p>
This subroutine creates two tables of stored polynomial functions, suitable for use in phase quadrature operations.
</p>
</div>
<div class="refsect1" title="Syntax">
<a id="id3737553"></a>
<h2>Syntax</h2>
<pre class="synopsis"><span class="command"><strong>f</strong></span> # time size 15 xint xamp h0 phs0 h1 phs1 h2 phs2 ...</pre>
</div>
<div class="refsect1" title="Initialization">
<a id="id3737570"></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>
<p>
<span class="emphasis"><em>xint</em></span> -- provides the left and right values [<span class="emphasis"><em>-xint</em></span>, <span class="emphasis"><em>+xint</em></span>] of the <span class="emphasis"><em>x</em></span> interval over which the polynomial is to be drawn. This subroutine will eventually call <a class="link" href="GEN03.html" title="GEN03"><em class="citetitle">GEN03</em></a> to draw both functions; this p5 value is therefor expanded to a negative-positive p5, p6 pair before <span class="emphasis"><em>GEN03</em></span> is actually called. The normal value is 1.
</p>
<p>
<span class="emphasis"><em>xamp </em></span> -- amplitude scaling factor of the sinusoid input that is expected to produce the following spectrum.
</p>
<p>
<span class="emphasis"><em>h0, h1, h2, ... hn</em></span> -- relative strength of partials 0 (DC), 1 (fundamental), 2 ... that will result when a sinusoid of amplitude
</p>
<div class="literallayout">
<p><br />
xamp * int(size/2)/xint<br />
</p>
</div>
<p>
is waveshaped using this function table. These values thus describe a frequency spectrum associated with a particular factor <span class="emphasis"><em>xamp</em></span> of the input signal.
</p>
<p>
<span class="emphasis"><em>phs0, phs1, ... </em></span> -- phase in degrees of desired harmonics <span class="emphasis"><em>h0, h1, ...</em></span> when the two functions of <span class="emphasis"><em>GEN15</em></span> are used with phase quadrature.
</p>
<div class="note" title="Note" style="margin-left: 0.5in; margin-right: 0.5in;">
<table border="0" summary="Note: Note">
<tr>
<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>
<span class="emphasis"><em>GEN15</em></span> creates two tables of equal size, labeled <span class="emphasis"><em>f </em></span># and <span class="emphasis"><em>f</em></span> # + 1. Table # will contain a Chebyshev function of the first kind, drawn using <a class="link" href="GEN03.html" title="GEN03"><em class="citetitle">GEN03</em></a> with partial strengths <span class="emphasis"><em>h0cos(phs0), h1cos(phs1), ...</em></span> Table #+1 will contain a Chebyshev function of the 2nd kind by calling <a class="link" href="GEN14.html" title="GEN14"><em class="citetitle">GEN14</em></a> with partials <span class="emphasis"><em>h1sin(phs1), h2sin(phs2),...</em></span> (note the harmonic displacement). The two tables can be used in conjunction in a waveshaping network that exploits phase quadrature.
</p>
</td>
</tr>
</table>
</div>
</div>
<div class="refsect1" title="See Also">
<a id="id3737726"></a>
<h2>See Also</h2>
<p>
<a class="link" href="GEN03.html" title="GEN03"><em class="citetitle">GEN03</em></a>,
<a class="link" href="GEN13.html" title="GEN13"><em class="citetitle">GEN13</em></a>, and
<a class="link" href="GEN14.html" title="GEN14"><em class="citetitle">GEN14</em></a>.
</p>
</div>
</div>
<div class="navfooter">
<hr />
<table width="100%" summary="Navigation footer">
<tr>
<td width="40%" align="left"><a accesskey="p" href="GEN14.html">Prev</a> </td>
<td width="20%" align="center">
<a accesskey="u" href="ScoregensTop.html">Up</a>
</td>
<td width="40%" align="right"> <a accesskey="n" href="GEN16.html">Next</a></td>
</tr>
<tr>
<td width="40%" align="left" valign="top">GEN14 </td>
<td width="20%" align="center">
<a accesskey="h" href="index.html">Home</a>
</td>
<td width="40%" align="right" valign="top"> GEN16</td>
</tr>
</table>
</div>
</body>
</html>
