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<section id="state-variable-inside-an-expression">
<h1>State variable inside an expression<a class="headerlink" href="#state-variable-inside-an-expression" title="Permalink to this heading">¶</a></h1>
<p><strong>04-let-function.py</strong></p>
<p>User can create state variable with the keyword <cite>let</cite>. This is
useful to set an intermediate state to be used in multiple places
in the processing chain. The syntax is:</p>
<div class="highlight-scheme notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="k">let</span><span class="w"> </span><span class="o">#</span><span class="nv">var</span><span class="w"> </span><span class="p">(</span><span class="nf">body</span><span class="p">))</span><span class="w"></span>
</pre></div>
</div>
<p>The variable name must begin with a <cite>#</cite>.</p>
<p>The prefix expression <a class="reference external" href="http://ajaxsoundstudio.com/pyodoc/api/classes/expression.html">documentation</a> gives common use cases where we
may want to use state variables.</p>
<p>The following example implements a phase-aligned formant (PAF) generator, as
described by Miller Puckette in “The Theory and Technique of Electronic
Music”, p158.</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <a class="sphinx-codeautolink-a" href="../../api/alphabetical.html#module-pyo" title="pyo"><span class="nn">pyo</span></a> <span class="kn">import</span> <span class="o">*</span>
<span class="n">s</span> <span class="o">=</span> <a class="sphinx-codeautolink-a" href="../../api/classes/server.html#pyo.Server" title="pyo.lib.server.Server"><span class="n">Server</span></a><span class="p">()</span><span class="o">.</span><span class="n">boot</span><span class="p">()</span>
<span class="n">expression</span> <span class="o">=</span> <span class="s2">"""// PAF generator (single formant) //</span>
<span class="s2">// User variables</span>
<span class="s2">(let #fund 100) // fundamental frequency</span>
<span class="s2">(let #band 600) // formant bandwidth</span>
<span class="s2">(let #form 600) // formant center frequency</span>
<span class="s2">// Intermediate variables</span>
<span class="s2">(let #bw (/ #band #fund))</span>
<span class="s2">(let #cf (/ #form #fund))</span>
<span class="s2">(let #ph (* (- (~ #fund) 0.5) twopi))</span>
<span class="s2">(let #car ( // Carrier</span>
<span class="s2"> (cos (max (min (* #ph #bw) pi) (- 0 pi)))</span>
<span class="s2"> )</span>
<span class="s2">)</span>
<span class="s2">(let #mod ( // Modulator</span>
<span class="s2"> (let #oct (floor #cf))</span>
<span class="s2"> (let #frac (</span><span class="si">% #c</span><span class="s2">f 1))</span>
<span class="s2"> (+ (* (cos (* #ph #oct)) (- 1 #frac))</span>
<span class="s2"> (* (cos (* #ph (+ #oct 1))) #frac)</span>
<span class="s2"> )</span>
<span class="s2"> )</span>
<span class="s2">)</span>
<span class="s2">* (* #car #mod) 0.5</span>
<span class="s2">"""</span>
<a class="sphinx-codeautolink-a" href="../../api/classes/expression.html#pyo.Expr" title="pyo.lib.expression.Expr"><span class="n">expr</span></a> <span class="o">=</span> <a class="sphinx-codeautolink-a" href="../../api/classes/expression.html#pyo.Expr" title="pyo.lib.expression.Expr"><span class="n">Expr</span></a><span class="p">(</span><a class="sphinx-codeautolink-a" href="../../api/classes/controls.html#pyo.Sig" title="pyo.lib._core.Sig"><span class="n">Sig</span></a><span class="p">(</span><span class="mi">0</span><span class="p">),</span> <span class="n">expression</span><span class="p">,</span> <span class="n">mul</span><span class="o">=</span><span class="mf">0.5</span><span class="p">)</span>
<span class="n">expr</span><span class="o">.</span><span class="n">editor</span><span class="p">()</span>
<a class="sphinx-codeautolink-a" href="../../api/classes/analysis.html#pyo.Spectrum" title="pyo.lib.analysis.Spectrum"><span class="n">sp</span></a> <span class="o">=</span> <a class="sphinx-codeautolink-a" href="../../api/classes/analysis.html#pyo.Spectrum" title="pyo.lib.analysis.Spectrum"><span class="n">Spectrum</span></a><span class="p">(</span><a class="sphinx-codeautolink-a" href="../../api/classes/expression.html#pyo.Expr" title="pyo.lib.expression.Expr"><span class="n">expr</span></a><span class="p">)</span>
<span class="n">pan</span> <span class="o">=</span> <a class="sphinx-codeautolink-a" href="../../api/classes/pan.html#pyo.Pan" title="pyo.lib.pan.Pan"><span class="n">Pan</span></a><span class="p">(</span><a class="sphinx-codeautolink-a" href="../../api/classes/expression.html#pyo.Expr" title="pyo.lib.expression.Expr"><span class="n">expr</span></a><span class="p">)</span><span class="o">.</span><span class="n">out</span><span class="p">()</span>
<span class="n">s</span><span class="o">.</span><span class="n">gui</span><span class="p">(</span><span class="nb">locals</span><span class="p">())</span>
</pre></div>
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