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2.1 KiB
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32 lines
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2.1 KiB
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<title>Math.log — Ludic</title>
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<meta name="description" content="The natural logarithm of 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.log</span></div>
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<span class="kind-badge kind-method">method</span>
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<h1 id="top">Math.log</h1>
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<code class="sig">Math.log(x) -> fixed</code>
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<div class="desc"><p>Returns the natural logarithm <code>ln(x)</code> for <code>x > 0</code>, computed in Q16.16 from a deterministic integer <code>log₂</code> (bit-scan for the exponent, a short series for the mantissa) scaled by <code>ln 2</code> — bit-identical on every platform. It is the inverse of <code>Math.exp</code>: reach for it to turn multiplicative growth into a straight line — score-to-level curves, logarithmic difficulty, decibel-style volume. Non-positive inputs are out of domain and saturate to a large negative value rather than returning a meaningful number.</p></div>
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<div class="examples"><h2>Example</h2><pre data-lang="ludic">program Demo {
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handler Step phase Update {
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let level = Math.floor(Math.log(score)) # diminishing returns on score
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}
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}</pre></div>
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