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      <a id="powoftwo"></a>
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      <a id="IndexPowoftwo" class="indexterm"></a>
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        <h2>
          <span class="refentrytitle">powoftwo</span>
        </h2>
        <p>powoftwo — 
      Performs a  power-of-two calculation.
          </p>
      </div>
      <div class="refsect1">
        <a id="idm281472902305144"></a>
        <h2>Description</h2>
        <p>
      Performs a  power-of-two calculation.
    </p>
      </div>
      <div class="refsect1">
        <a id="idm281472902303816"></a>
        <h2>Syntax</h2>
        <pre class="synopsis"><span class="command"><strong>powoftwo</strong></span>(x)  (init-rate or control-rate args only)</pre>
      </div>
      <div class="refsect1">
        <a id="idm281472902301704"></a>
        <h2>Performance</h2>
        <p>
      <span class="emphasis"><em>powoftwo</em></span>() function returns 2<sup><span class="emphasis"><em>x</em></span></sup> and allows positive and negatives numbers as argument. The range of values admitted in <span class="emphasis"><em>powoftwo</em></span>() is -5 to +5 allowing a precision more fine than one cent in a range of ten octaves. If a greater range of values is required, use the slower opcode <a class="link" href="pow.html" title="pow"><em class="citetitle">pow</em></a>.
    </p>
        <p>
      These functions are fast, because they read values stored in tables. Also they are very useful when working with tuning ratios. They work at i- and k-rate.
    </p>
      </div>
      <div class="refsect1">
        <a id="idm281472902297176"></a>
        <h2>Examples</h2>
        <p>
      Here is an example of the powoftwo opcode. It uses the file <a class="ulink" href="examples/powoftwo.csd" target="_top"><em class="citetitle">powoftwo.csd</em></a>.
      </p>
        <div class="example">
          <a id="idm281472902295400"></a>
          <p class="title">
            <strong>Example 713. Example of the powoftwo opcode.</strong>
          </p>
          <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>
            <div class="refsect1">
              <a id="idm281472723061768"></a>
              <pre class="programlisting">
<span class="nt">&lt;CsoundSynthesizer&gt;</span>
<span class="nt">&lt;CsOptions&gt;</span>
<span class="c1">; Select audio/midi flags here according to platform</span>
-odac     <span class="c1">;;;realtime audio out</span>
<span class="c1">;-iadc    ;;;uncomment -iadc if realtime audio input is needed too</span>
<span class="c1">; For Non-realtime ouput leave only the line below:</span>
<span class="c1">; -o poweroftwo.wav -W ;;; for file output any platform</span>
<span class="nt">&lt;/CsOptions&gt;</span>
<span class="nt">&lt;CsInstruments&gt;</span>

<span class="vg">sr</span> <span class="o">=</span> <span class="mi">44100</span>
<span class="vg">ksmps</span> <span class="o">=</span> <span class="mi">32</span>
<span class="vg">nchnls</span> <span class="o">=</span> <span class="mi">2</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">; bit reduction for Lo-Fi sound</span>

i<span class="n">Bits</span>	  <span class="o">=</span> <span class="nb">p5</span>						<span class="c1">;bit depth</span>
i<span class="n">Quantize</span> <span class="o">=</span> <span class="nb">powoftwo</span><span class="p">(</span>i<span class="n">Bits</span><span class="p">)</span>				<span class="c1">;find number of discrete steps for this bit depth</span>
i<span class="n">Quantize</span> <span class="o">=</span> i<span class="n">Quantize</span><span class="o">*</span><span class="mf">0.5</span>				<span class="c1">;half the number of steps for each side of a bipolar signal</span>
<span class="nb">print</span>	  i<span class="n">Quantize</span>
a<span class="n">sig</span>	  <span class="nb">soundin</span> <span class="s">"fox.wav"</span>
a<span class="n">sig</span>	  <span class="o">=</span> <span class="nb">round</span><span class="p">(</span>a<span class="n">sig</span> <span class="o">*</span> i<span class="n">Quantize</span><span class="p">)</span> <span class="o">/</span> i<span class="n">Quantize</span>		<span class="c1">;quantize audio signal (bit reduce)</span>
	  <span class="nb">outs</span> a<span class="n">sig</span><span class="p">,</span> a<span class="n">sig</span>         

<span class="kd">endin</span>
<span class="nt">&lt;/CsInstruments&gt;</span>
<span class="nt">&lt;CsScore&gt;</span>
<span class="c1">;        bits</span>
<span class="nb">i</span><span class="mi">1</span> <span class="mi">0</span>   <span class="mi">3</span>  <span class="mi">16</span>
<span class="nb">i</span><span class="mi">1</span> <span class="o">^+</span><span class="mi">3</span> <span class="o">.</span>  <span class="mi">12</span>
<span class="nb">i</span><span class="mi">1</span> <span class="o">^+</span><span class="mi">3</span> <span class="o">.</span>   <span class="mi">8</span>
<span class="nb">i</span><span class="mi">1</span> <span class="o">^+</span><span class="mi">3</span> <span class="o">.</span>   <span class="mi">4</span>
<span class="nb">i</span><span class="mi">1</span> <span class="o">^+</span><span class="mi">3</span> <span class="o">.</span>   <span class="mi">2</span>
<span class="nb">i</span><span class="mi">1</span> <span class="o">^+</span><span class="mi">3</span> <span class="o">.</span>   <span class="mi">1</span>

<span class="nb">e</span>
<span class="nt">&lt;/CsScore&gt;</span>
<span class="nt">&lt;/CsoundSynthesizer&gt;</span>
</pre>
            </div>
          </div>
        </div>
        <p><br class="example-break" />

      Its output should include a line like this:
      </p>
        <pre class="screen">
instr 1:  iQuantize = 32768.000
instr 1:  iQuantize = 2048.000
instr 1:  iQuantize = 128.000
instr 1:  iQuantize = 8.000
instr 1:  iQuantize = 2.000
instr 1:  iQuantize = 1.000
</pre>
        <p>
    </p>
      </div>
      <div class="refsect1">
        <a id="idm281472902290184"></a>
        <h2>See Also</h2>
        <p>
      <a class="link" href="logbtwo.html" title="logbtwo"><em class="citetitle">logbtwo</em></a>, 
      <a class="link" href="pow.html" title="pow"><em class="citetitle">pow</em></a>
    </p>
      </div>
      <div class="refsect1">
        <a id="idm281472902287144"></a>
        <h2>Credits</h2>
        <p>
      </p>
        <table border="0" summary="Simple list" class="simplelist">
          <tr>
            <td>Author: Gabriel Maldonado</td>
          </tr>
          <tr>
            <td>Italy</td>
          </tr>
          <tr>
            <td>June 1998</td>
          </tr>
        </table>
        <p>
    </p>
        <p>
      </p>
        <table border="0" summary="Simple list" class="simplelist">
          <tr>
            <td>Author: John ffitch</td>
          </tr>
          <tr>
            <td>University of Bath, Codemist, Ltd.</td>
          </tr>
          <tr>
            <td>Bath, UK</td>
          </tr>
          <tr>
            <td>July 1999</td>
          </tr>
        </table>
        <p>
    </p>
        <p>New in Csound version 3.57</p>
      </div>
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