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<!DOCTYPE html><html xmlns:dc="http://purl.org/dc/terms/" xmlns:og="http://ogp.me/ns#" ><head><meta http-equiv=Content-Type content="text/html; charset=utf-8"><title>More Algorithms for Arbitrary-Precision Sampling</title><meta name="citation_pdf_url" content="https://peteroupc.github.io/morealg.pdf"><meta name="citation_url" content="https://peteroupc.github.io/morealg.html"><meta name="citation_title" content="More Algorithms for Arbitrary-Precision Sampling"><meta name="dc.date" content="2025-09-30"><meta name="citation_date" content="2025/09/30"><meta name="citation_publication_date" content="2025/09/30"><meta name="citation_online_date" content="2025/09/30"><meta name="og:title" content="More Algorithms for Arbitrary-Precision Sampling"><meta name="og:type" content="article"><meta name="og:url" content="https://peteroupc.github.io/morealg.html"><meta name="og:site_name" content="peteroupc.github.io"><meta name="dc.format" content="text/html"><meta name="dc.language" content="en"><meta name="title" content="More Algorithms for Arbitrary-Precision Sampling"><meta name="dc.title" content="More Algorithms for Arbitrary-Precision Sampling"><meta name="twitter:title" content="More Algorithms for Arbitrary-Precision Sampling"><meta name="dc.creator" content="Peter Occil"/><meta name="author" content="Peter Occil"/><meta name="citation_author" content="Peter Occil"/><meta name="viewport" content="width=device-width"><link rel=stylesheet type="text/css" href="/style.css">
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<h1 id="more-algorithms-for-arbitrary-precision-sampling">More Algorithms for Arbitrary-Precision Sampling</h1><p>This version of the document is dated 2025-09-30. <a href='https://github.com/peteroupc/peteroupc.github.io/issues'>Post an issue or comment on this document</a>.</p>
<p><a href="mailto:poccil14@gmail.com"><strong>Peter Occil</strong></a></p>
<p>This page is now obsolete. Its contents were moved to:</p>
<ul>
<li><a href="https://peteroupc.github.io/exporand.html"><strong>Partially-Sampled Random Numbers for Accurate Sampling of Continuous Distributions</strong></a></li>
<li><a href="https://peteroupc.github.io/bernoulli.html"><strong>Bernoulli Factory Algorithms</strong></a></li>
<li><a href="https://peteroupc.github.io/bernsupp.html"><strong>Supplemental Notes for Bernoulli Factory Algorithms</strong></a></li>
<li><a href="https://peteroupc.github.io/randmisc.html"><strong>Miscellaneous Observations on Randomization</strong></a></li>
</ul>
<p><a id="Pushdown_Automata_and_Algebraic_Functions"></a></p>
<h3 id="pushdown-automata-and-algebraic-functions">Pushdown Automata and Algebraic Functions</h3>
<p>Moved to <a href="https://peteroupc.github.io/bernsupp.html"><strong>Supplemental Notes on Bernoulli Factories</strong></a>.</p>
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<h2 id="license">License</h2>
<p>Any copyright to this page is released to the Public Domain. In case this is not possible, this page is also licensed under <a href="https://creativecommons.org/publicdomain/zero/1.0/"><strong>Creative Commons Zero</strong></a>.</p>
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<p style='font-size:120%;font-weight:bold'><a href='https://peteroupc.github.io/morealg.pdf'>Download a PDF of this page</a></p><p>Of interest to the computer graphics and music community:</p><ul><li><a href='https://peteroupc.github.io/graphics.html'><b>Graphics for classic-style game development</b></a>.<li><a href='https://peteroupc.github.io/graphics.html#Building_a_Public_Domain_music_synthesis_library_and_instrument_banks'><b>MIDI music synthesis for classic-style games and apps</b></a>.<li><a href='https://peteroupc.github.io/classic-wallpaper'><b>Tileable wallpapers with limited colors and resolution</b></a>.<li><a href='https://peteroupc.github.io/graphicsapi.html'><b>Lean programming interfaces for classic graphics</b></a>.<li><a href='https://peteroupc.github.io/classic-wallpaper/docs/uielements.html'><b>Traditional user-interface graphics</b></a>.<li><a href='https://peteroupc.github.io/classic-wallpaper/docs/pixeltovector.html'><b>Converting images to vector graphics</b></a>.</ul><p>Open questions for math and probability experts:</p><ul><li><a href='https://peteroupc.github.io/requests.html'><b>Requests and open questions</b></a>.<li><a href='https://peteroupc.github.io/bernreq.html'><b>Open questions on the Bernoulli factory problem (the new-coins-from-old problem)</b></a>.<li><a href='https://peteroupc.github.io/requestsother.html'><b>Other open questions on probability</b></a>.<li><a href='https://peteroupc.github.io/sampling.html'><b>The sampling problem</b></a>.</ul></nav></body></html>