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<title>Math.exp — Ludic</title>
<meta name="description" content="e raised to the power x.">
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<header class="nav"><div class="wrap nav-in"><a class="brand" href="index.html"><span class="logo">L</span> Ludic</a><button class="nav-toggle" aria-label="Toggle menu" aria-expanded="false">☰</button><nav class="nav-links"><a href="index.html">Home</a><a href="api.html">API Reference</a><a class="nav-cta" href="https://git.workshopsoft.io/workshopsoft/ludic">Source ↗</a></nav></div></header>
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<div class="crumbs"><a href="api.html">API Reference</a> <span>›</span> <a href="ns-math.html">Math</a> <span>›</span> <span class="here">Math.exp</span></div>
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<span class="kind-badge kind-method">method</span>
<h1 id="top">Math.exp</h1>
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<code class="sig">Math.exp(x) -&gt; fixed</code>
<div class="desc"><p>Returns <code>e<sup>x</sup></code> (the natural exponential), computed in Q16.16 as <code>2<sup>x·log₂e</sup></code> through a range-reduced integer polynomial — so it is bit-identical on every platform, the same guarantee the rest of the runtime gives. Pair it with <code>Math.log</code> for exponential decay and growth: cooldowns that ease off, difficulty ramps, or a value that relaxes toward a target. The result must land inside the fixed-point range (magnitudes below <code>32768</code>), so keep <code>x</code> under about <code>10</code>; larger exponents saturate.</p></div>
<div class="examples"><h2>Example</h2><pre data-lang="ludic">program Demo {
handler Step phase Update {
let remaining = Math.exp(0.0 - decay * elapsed) # smooth decay 1 -&gt; 0
}
}</pre></div>
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