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58 lines
5 KiB
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<title>CLiki: ratmath</title>
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<span class="hidden">CLiki - ratmath</span>
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<div id="content"><div id="content-area"><div id="article-title">ratmath</div><div id="article">Utilities for Rational Numbers in Common Lisp (rational approximations and interval arithmetic)<p>Usage examples:<p>Function <code>ratmath:rat</code> is akin to <code>cl:rationalize</code> with keyword arguments <code>:limd</code> and <code>:limn</code> representing the maximum numerator/denominator:<p><div class="code"><span class="nonparen"><span class="paren1">(<span class="nonparen">ratmath:rat <a href="https://www.cliki.net/site/HyperSpec/Body/convar_pi.html" class="symbol">pi</a> <span class="keyword">:limd</span> 255</span>)</span>
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<span class="comment">;; =>
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</span>355/113
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</span></div><p>Function <code>ratmath:infsup</code> can reduce bignum rational to a fixed bit rational interval (here, 16-bit):<p><div class="code"><span class="nonparen">CL-USER> <span class="paren1">(<span class="nonparen"><a href="https://www.cliki.net/site/HyperSpec/Body/any_st.html" class="symbol">*</a> <span class="paren2">(<span class="nonparen"><a href="https://www.cliki.net/site/HyperSpec/Body/any_rational.html" class="symbol">rational</a> <a href="https://www.cliki.net/site/HyperSpec/Body/convar_pi.html" class="symbol">pi</a></span>)</span> <span class="paren2">(<span class="nonparen"><a href="https://www.cliki.net/site/HyperSpec/Body/any_rational.html" class="symbol">rational</a> <span class="paren3">(<span class="nonparen"><a href="https://www.cliki.net/site/HyperSpec/Body/fun_expcm_expt.html" class="symbol">exp</a> 1.0</span>)</span></span>)</span></span>)</span>
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2520484590068807905375/295147905179352825856
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CL-USER> <span class="paren1">(<span class="nonparen"><a href="https://www.cliki.net/site/HyperSpec/Body/any_values.html" class="symbol">values</a> <span class="paren2">(<span class="nonparen">ratmath:infsup <a href="https://www.cliki.net/site/HyperSpec/Body/any_st.html" class="symbol">*</a> <span class="keyword">:limd</span> 65535 <span class="keyword">:limn</span> 65535</span>)</span></span>)</span>
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<span class="paren1">(<span class="nonparen">23749/2781 . 50077/5864</span>)</span>
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</span></div><p>More details <a href="https://github.com/jesseoff/ratmath/blob/master/README.md">in README</a>.<p>Repository: <a href="https://github.com/jesseoff/ratmath">GitHub</a><p>License: MIT<p>See Also: <a href="computable-reals.html" class="internal">computable-reals</a><p>Topics: <a href="mathematics.html" class="category">mathematics</a></div></div>
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