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252 lines
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<title>Clojure Guides: Mathematics with Clojure</title>
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<meta name="description" content="This cookbook covers working with mathematics in Clojure, using
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built-in functions, contrib libraries, and parts of the JDK via
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interoperability.This work is licensed under a Creative Commons
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Attribution 3.0 Unported License (including images &
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stylesheets). The source is available on
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Github.">
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<meta property="og:description" content="This cookbook covers working with mathematics in Clojure, using
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built-in functions, contrib libraries, and parts of the JDK via
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interoperability.This work is licensed under a Creative Commons
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Github.">
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<h2>Mathematics with Clojure</h2>
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</div>
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<p>This cookbook covers working with mathematics in Clojure, using
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built-in functions, contrib libraries, and parts of the JDK via
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interoperability.</p><p>This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by/3.0/">Creative Commons
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Attribution 3.0 Unported License</a> (including images &
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stylesheets). The source is available <a href="https://github.com/clojure-doc/clojure-doc.github.io">on
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Github</a>.</p><h2 id="preliminaries">Preliminaries</h2><p>Some examples herein make use of the
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<a href="https://github.com/clojure/math.numeric-tower">math.numeric-tower</a>
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and
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<a href="https://github.com/clojure/math.combinatorics">math.combinatorics</a>
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contrib libraries. It's assumed that either you have the following in
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your source code's <code>ns</code> macro:</p><pre><code class="clojure">(:require [clojure.math.numeric-tower :as math]
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[clojure.math.combinatorics :as combo])
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</code></pre><p>or else in the repl you've loaded them like so:</p><pre><code class="clojure">(require '[clojure.math.numeric-tower :as math])
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(require '[clojure.math.combinatorics :as combo])
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</code></pre><h2 id="recipes">Recipes</h2><h3 id="simple-math">Simple Math</h3><pre><code class="clojure">(+ 3 4) ;=> 7
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(- 3 4) ;=> -1
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(* 3 4) ;=> 12
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(/ 3 4) ;=> 3/4 (an exact ratio)
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(/ 3.0 4) ;=> 0.75
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(inc 5) ;=> 6
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(dec 5) ;=> 4
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</code></pre><p>For doing integer division and getting remainders (modulus), see the
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docs for
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<a href="http://clojuredocs.org/clojure_core/clojure.core/quot">quot</a>,
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<a href="http://clojuredocs.org/clojure_core/clojure.core/rem">rem</a>, and
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<a href="http://clojuredocs.org/clojure_core/clojure.core/mod">mod</a>.</p><p>For exponents, square roots, rounding, ceiling, floor, absolute value,
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and greatest/least common multiples, see the <a href="http://clojure.github.com/math.numeric-tower/">docs for
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math.numeric-tower</a>.</p><h3 id="trigonometry">Trigonometry</h3><p>Use what the Java platform provides, for example:</p><pre><code class="clojure">Math/PI ;=> 3.14159...
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(Math/sin x)
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(Math/cos x)
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(Math/tan x)
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</code></pre><p>There are many more functions available, which you can read about in
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the <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Math.html">docs for
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java.lang.Math</a>.</p><h3 id="combinatorics">Combinatorics</h3><p>For combinatoric functions (such as <code>combinations</code> and
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<code>permutations</code>), see the <a href="http://clojure.github.com/math.combinatorics/">docs for
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math.combinatorics</a>.</p>
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