<?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>xyscale</title> <link rel="stylesheet" type="text/css" href="csound.css" /> <link rel="stylesheet" type="text/css" href="syntax-highlighting.css" /> <meta name="generator" content="DocBook XSL Stylesheets Vsnapshot" /> <link rel="home" href="index.html" title="The Canonical Csound Reference Manual" /> <link rel="up" href="OpcodesTop.html" title="Orchestra Opcodes and Operators" /> <link rel="prev" href="xyin.html" title="xyin" /> <link rel="next" href="zacl.html" title="zacl" /> </head> <body> <div class="navheader"> <table width="100%" summary="Navigation header"> <tr> <th colspan="3" align="center">xyscale</th> </tr> <tr> <td width="20%" align="left"><a accesskey="p" href="xyin.html">Prev</a> </td> <th width="60%" align="center">Orchestra Opcodes and Operators</th> <td width="20%" align="right"> <a accesskey="n" href="zacl.html">Next</a></td> </tr> </table> <hr /> </div> <div class="refentry"> <a id="xyscale"></a> <div class="titlepage"></div> <a id="IndexXyscale" class="indexterm"></a> <div class="refnamediv"> <h2> <span class="refentrytitle">xyscale</span> </h2> <p>xyscale — 2D linear interpolation </p> </div> <div class="refsect1"> <a id="idm281472867560312"></a> <h2>Description</h2> <p> 2D linear interpolation between 4 points at (0,0), (1,0), (0,1), (1,1) </p> </div> <div class="refsect1"> <a id="idm281472867495928"></a> <h2>Syntax</h2> <pre class="synopsis">kout <span class="command"><strong>xyscale</strong></span> kx, ky, k00, k10, k01, k11</pre> </div> <div class="refsect1"> <a id="idm281472867493432"></a> <h2>Performance</h2> <p> <span class="emphasis"><em>kx</em></span>, <span class="emphasis"><em>ky</em></span> -- Coordinates to evaluate the interpolation. Value between 0-1, where: </p> <p> <span class="emphasis"><em>k00</em></span> -- Value of point at coord (x=0, y=0) </p> <p> <span class="emphasis"><em>k10</em></span> -- Value of point at coord (x=1, y=0) </p> <p> <span class="emphasis"><em>k01</em></span> -- Value of point at coord (x=0, y=1) </p> <p> <span class="emphasis"><em>k11</em></span> -- Value of point at coord (x=1, y=1) </p> <pre class="programlisting"> (0,1) (1,1) (0,0) (1,0) </pre> <p> Given 4 values placed at the corners of a square, find the interpolated value at point (x, y), where x and y are defined between 0-1. </p> </div> <div class="refsect1"> <a id="idm281472867486296"></a> <h2>Examples</h2> <p> Here is an example of the xyscale opcode. It uses the file <a class="ulink" href="examples/xyscale.csd" target="_top"><em class="citetitle">xyscale.csd</em></a>. </p> <div class="example"> <a id="idm281472867483048"></a> <p class="title"> <strong>Example 1144. Example of the xyscale opcode.</strong> </p> <div class="example-contents"> <div class="refsect1"> <a id="idm281472686389272"></a> <pre class="programlisting"> <span class="nt"><CsoundSynthesizer></span> <span class="nt"><CsOptions></span> <span class="c1">; Select audio/midi flags here according to platform</span> <span class="c1">; Audio out Audio in No messages</span> -odac -iadc -d <span class="c1">;;;RT audio I/O</span> <span class="nt"></CsOptions></span> <span class="nt"><CsInstruments></span> <span class="vg">ksmps</span><span class="o">=</span><span class="mi">128</span> <span class="vg">nchnls</span><span class="o">=</span><span class="mi">2</span> gi<span class="n">width</span> <span class="o">=</span> <span class="mi">400</span> gi<span class="n">height</span> <span class="o">=</span> <span class="mi">300</span> <span class="nb">FLpanel</span> <span class="s">"FLmouse"</span><span class="p">,</span> gi<span class="n">width</span><span class="p">,</span> gi<span class="n">height</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">10</span> <span class="nb">FLpanelEnd</span> <span class="nb">FLrun</span> <span class="vg">0dbfs</span> <span class="o">=</span> <span class="mi">1</span> <span class="kd">instr</span> <span class="nf">1</span> <span class="c1">; We define four chords for bottom-left, bottom-right, top-left and top-right</span> <span class="c1">; Use the mouse to interpolate between them</span> i<span class="n">bl</span><span class="p">[]</span> <span class="nb">array</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4C"</span><span class="p">),</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4Eb"</span><span class="p">),</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4G"</span><span class="p">)</span> i<span class="n">tl</span><span class="p">[]</span> <span class="nb">array</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4E"</span><span class="p">),</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4G#"</span><span class="p">),</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4B"</span><span class="p">)</span> i<span class="n">br</span><span class="p">[]</span> <span class="nb">array</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4G"</span><span class="p">),</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4A"</span><span class="p">),</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4B"</span><span class="p">)</span> i<span class="n">tr</span><span class="p">[]</span> <span class="nb">array</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4Eb"</span><span class="p">),</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4Eb+"</span><span class="p">),</span> <span class="nb">ntom</span><span class="p">:</span><span class="nb">i</span><span class="p">(</span><span class="s">"4F"</span><span class="p">)</span> k<span class="n">mousex</span><span class="p">,</span> k<span class="n">mousey</span><span class="p">,</span> k<span class="n">b1</span><span class="p">,</span> k<span class="n">b2</span><span class="p">,</span> k<span class="n">b3</span> <span class="nb">FLmouse</span> <span class="mi">2</span> k<span class="n">x</span> <span class="o">=</span> <span class="nb">limit</span><span class="p">(</span>k<span class="n">mousex</span><span class="o">/</span>gi<span class="n">width</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span> k<span class="n">y</span> <span class="o">=</span> <span class="mi">1</span> <span class="o">-</span> <span class="nb">limit</span><span class="p">(</span>k<span class="n">mousey</span><span class="o">/</span>gi<span class="n">height</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span> <span class="nb">printf</span> <span class="s">"x: %f y: %f </span><span class="se">\n</span><span class="s">"</span><span class="p">,</span> <span class="nb">changed</span><span class="p">(</span>k<span class="n">x</span><span class="p">,</span> k<span class="n">y</span><span class="p">),</span> k<span class="n">x</span><span class="p">,</span> k<span class="n">y</span> i<span class="n">amp</span> <span class="o">=</span> <span class="mf">0.1</span> a<span class="n">0</span> <span class="nb">oscili</span> i<span class="n">amp</span><span class="p">,</span> <span class="nb">mtof</span><span class="p">(</span><span class="nb">xyscale</span><span class="p">(</span>k<span class="n">x</span><span class="p">,</span> k<span class="n">y</span><span class="p">,</span> i<span class="n">bl</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> i<span class="n">tl</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> i<span class="n">br</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> i<span class="n">tr</span><span class="p">[</span><span class="mi">0</span><span class="p">]))</span> a<span class="n">1</span> <span class="nb">oscili</span> i<span class="n">amp</span><span class="p">,</span> <span class="nb">mtof</span><span class="p">(</span><span class="nb">xyscale</span><span class="p">(</span>k<span class="n">x</span><span class="p">,</span> k<span class="n">y</span><span class="p">,</span> i<span class="n">bl</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> i<span class="n">tl</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> i<span class="n">br</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> i<span class="n">tr</span><span class="p">[</span><span class="mi">1</span><span class="p">]))</span> a<span class="n">2</span> <span class="nb">oscili</span> i<span class="n">amp</span><span class="p">,</span> <span class="nb">mtof</span><span class="p">(</span><span class="nb">xyscale</span><span class="p">(</span>k<span class="n">x</span><span class="p">,</span> k<span class="n">y</span><span class="p">,</span> i<span class="n">bl</span><span class="p">[</span><span class="mi">2</span><span class="p">],</span> i<span class="n">tl</span><span class="p">[</span><span class="mi">2</span><span class="p">],</span> i<span class="n">br</span><span class="p">[</span><span class="mi">2</span><span class="p">],</span> i<span class="n">tr</span><span class="p">[</span><span class="mi">2</span><span class="p">]))</span> a<span class="n">out</span> <span class="o">=</span> <span class="nb">sum</span><span class="p">(</span>a<span class="n">0</span><span class="p">,</span> a<span class="n">1</span><span class="p">,</span> a<span class="n">2</span><span class="p">)</span> <span class="nb">outs</span> a<span class="n">out</span><span class="p">,</span> a<span class="n">out</span> <span class="kd">endin</span> <span class="nt"></CsInstruments></span> <span class="nt"><CsScore></span> <span class="nb">i</span> <span class="mi">1</span> <span class="mi">0</span> <span class="mi">120</span> <span class="nt"></CsScore></span> <span class="nt"></CsoundSynthesizer></span> </pre> </div> </div> </div> <p><br class="example-break" /> </p> </div> <div class="refsect1"> <a id="idm281472867481288"></a> <h2>See Also</h2> <p> <a class="link" href="scale.html" title="scale"><em class="citetitle">scale</em></a>, <a class="link" href="ntrpol.html" title="ntrpol"><em class="citetitle">ntrpol</em></a>, <a class="link" href="linlin.html" title="linlin"><em class="citetitle">linlin</em></a> </p> </div> <div class="refsect1"> <a id="idm281472867476904"></a> <h2>Credits</h2> <p>By: Eduardo Moguillansky 2017</p> </div> </div> <div class="navfooter"> <hr /> <table width="100%" summary="Navigation footer"> <tr> <td width="40%" align="left"><a accesskey="p" href="xyin.html">Prev</a> </td> <td width="20%" align="center"> <a accesskey="u" href="OpcodesTop.html">Up</a> </td> <td width="40%" align="right"> <a accesskey="n" href="zacl.html">Next</a></td> </tr> <tr> <td width="40%" align="left" valign="top">xyin </td> <td width="20%" align="center"> <a accesskey="h" href="index.html">Home</a> </td> <td width="40%" 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