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<html xmlns="http://www.w3.org/1999/xhtml"><head><title>CCRAL (containers-data.CCRAL)</title><meta charset="utf-8"/><link rel="stylesheet" href="../../odoc.support/odoc.css"/><meta name="generator" content="odoc 2.4.3"/><meta name="viewport" content="width=device-width,initial-scale=1.0"/><script src="../../odoc.support/highlight.pack.js"></script><script>hljs.initHighlightingOnLoad();</script></head><body class="odoc"><nav class="odoc-nav"><a href="../index.html">Up</a> – <a href="../index.html">containers-data</a> » CCRAL</nav><header class="odoc-preamble"><h1>Module <code><span>CCRAL</span></code></h1><p>Random-Access Lists</p><p>This is an OCaml implementation of Okasaki's paper "Purely Functional Random Access Lists". It defines a list-like data structure with O(1) cons/tail operations, and O(log(n)) lookup/modification operations.</p><p>This module used to be part of <code>containers.misc</code></p><p><b>status: stable</b></p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.13</li></ul></header><nav class="odoc-toc"><ul><li><a href="#utils">Utils</a></li><li><a href="#conversions">Conversions</a></li><li><a href="#infix">Infix</a></li><li><a href="#io">IO</a></li></ul></nav><div class="odoc-content"><div class="odoc-spec"><div class="spec type anchored" id="type-t"><a href="#type-t" class="anchor"></a><code><span><span class="keyword">type</span> <span>+'a t</span></span></code></div><div class="spec-doc"><p>List containing elements of type 'a</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-empty"><a href="#val-empty" class="anchor"></a><code><span><span class="keyword">val</span> empty : <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Empty list.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-is_empty"><a href="#val-is_empty" class="anchor"></a><code><span><span class="keyword">val</span> is_empty : <span><span><span class="type-var">_</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> bool</span></code></div><div class="spec-doc"><p>Check whether the list is empty.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-cons"><a href="#val-cons" class="anchor"></a><code><span><span class="keyword">val</span> cons : <span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Add an element at the front of the list.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-return"><a href="#val-return" class="anchor"></a><code><span><span class="keyword">val</span> return : <span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Singleton.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-map"><a href="#val-map" class="anchor"></a><code><span><span class="keyword">val</span> map : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span class="type-var">'b</span>)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Map on elements.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-mapi"><a href="#val-mapi" class="anchor"></a><code><span><span class="keyword">val</span> mapi : <span><span class="label">f</span>:<span>(<span>int <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span class="type-var">'b</span>)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Map with index.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-hd"><a href="#val-hd" class="anchor"></a><code><span><span class="keyword">val</span> hd : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span class="type-var">'a</span></span></code></div><div class="spec-doc"><p>First element of the list, or</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if the list is empty.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-tl"><a href="#val-tl" class="anchor"></a><code><span><span class="keyword">val</span> tl : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Remove the first element from the list, or</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if the list is empty.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-front"><a href="#val-front" class="anchor"></a><code><span><span class="keyword">val</span> front : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span>(<span class="type-var">'a</span> * <span><span class="type-var">'a</span> <a href="#type-t">t</a></span>)</span> option</span></span></code></div><div class="spec-doc"><p>Remove and return the first element of the list.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-front_exn"><a href="#val-front_exn" class="anchor"></a><code><span><span class="keyword">val</span> front_exn : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span class="type-var">'a</span> * <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Unsafe version of <a href="#val-front"><code>front</code></a>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if the list is empty.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-length"><a href="#val-length" class="anchor"></a><code><span><span class="keyword">val</span> length : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> int</span></code></div><div class="spec-doc"><p>Number of elements. Complexity <code>O(ln n)</code> where n=number of elements.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-get"><a href="#val-get" class="anchor"></a><code><span><span class="keyword">val</span> get : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span>int <span class="arrow">-></span></span> <span><span class="type-var">'a</span> option</span></span></code></div><div class="spec-doc"><p><code>get l i</code> accesses the <code>i</code>-th element of the list. <code>O(log(n))</code>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-get_exn"><a href="#val-get_exn" class="anchor"></a><code><span><span class="keyword">val</span> get_exn : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span>int <span class="arrow">-></span></span> <span class="type-var">'a</span></span></code></div><div class="spec-doc"><p>Unsafe version of <a href="#val-get"><code>get</code></a>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if the list has less than <code>i+1</code> elements.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-set"><a href="#val-set" class="anchor"></a><code><span><span class="keyword">val</span> set : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span>int <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>set l i v</code> sets the <code>i</code>-th element of the list to <code>v</code>. <code>O(log(n))</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if the list has less than <code>i+1</code> elements.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-remove"><a href="#val-remove" class="anchor"></a><code><span><span class="keyword">val</span> remove : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span>int <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>remove l i</code> removes the <code>i</code>-th element of <code>l</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if the list has less than <code>i+1</code> elements.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-get_and_remove_exn"><a href="#val-get_and_remove_exn" class="anchor"></a><code><span><span class="keyword">val</span> get_and_remove_exn : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span>int <span class="arrow">-></span></span> <span class="type-var">'a</span> * <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>get_and_remove_exn l i</code> accesses and removes the <code>i</code>-th element of <code>l</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if the list has less than <code>i+1</code> elements.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-append"><a href="#val-append" class="anchor"></a><code><span><span class="keyword">val</span> append : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-filter"><a href="#val-filter" class="anchor"></a><code><span><span class="keyword">val</span> filter : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> bool)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-filter_map"><a href="#val-filter_map" class="anchor"></a><code><span><span class="keyword">val</span> filter_map : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> option</span>)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-flat_map"><a href="#val-flat_map" class="anchor"></a><code><span><span class="keyword">val</span> flat_map : <span><span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span>)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-flatten"><a href="#val-flatten" class="anchor"></a><code><span><span class="keyword">val</span> flatten : <span><span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-app"><a href="#val-app" class="anchor"></a><code><span><span class="keyword">val</span> app : <span><span><span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span class="type-var">'b</span>)</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-take"><a href="#val-take" class="anchor"></a><code><span><span class="keyword">val</span> take : <span>int <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-take_while"><a href="#val-take_while" class="anchor"></a><code><span><span class="keyword">val</span> take_while : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> bool)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-drop"><a href="#val-drop" class="anchor"></a><code><span><span class="keyword">val</span> drop : <span>int <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-drop_while"><a href="#val-drop_while" class="anchor"></a><code><span><span class="keyword">val</span> drop_while : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> bool)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-take_drop"><a href="#val-take_drop" class="anchor"></a><code><span><span class="keyword">val</span> take_drop : <span>int <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span> * <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>take_drop n l</code> splits <code>l</code> into <code>a, b</code> such that <code>length a = n</code> if <code>length l >= n</code>, and such that <code>append a b = l</code>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-iter"><a href="#val-iter" class="anchor"></a><code><span><span class="keyword">val</span> iter : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> unit)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> unit</span></code></div><div class="spec-doc"><p>Iterate on the list's elements.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-iteri"><a href="#val-iteri" class="anchor"></a><code><span><span class="keyword">val</span> iteri : <span><span class="label">f</span>:<span>(<span>int <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <span class="arrow">-></span></span> unit)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> unit</span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-fold"><a href="#val-fold" class="anchor"></a><code><span><span class="keyword">val</span> fold : <span><span class="label">f</span>:<span>(<span><span class="type-var">'b</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span class="type-var">'b</span>)</span> <span class="arrow">-></span></span> <span><span class="label">x</span>:<span class="type-var">'b</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span class="type-var">'b</span></span></code></div><div class="spec-doc"><p>Fold on the list's elements.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-fold_rev"><a href="#val-fold_rev" class="anchor"></a><code><span><span class="keyword">val</span> fold_rev : <span><span class="label">f</span>:<span>(<span><span class="type-var">'b</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span class="type-var">'b</span>)</span> <span class="arrow">-></span></span> <span><span class="label">x</span>:<span class="type-var">'b</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span class="type-var">'b</span></span></code></div><div class="spec-doc"><p>Fold on the list's elements, in reverse order (starting from the tail).</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-rev_map"><a href="#val-rev_map" class="anchor"></a><code><span><span class="keyword">val</span> rev_map : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span class="type-var">'b</span>)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>rev_map f l</code> is the same as <code>map f (rev l)</code>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-rev"><a href="#val-rev" class="anchor"></a><code><span><span class="keyword">val</span> rev : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Reverse the list.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-equal"><a href="#val-equal" class="anchor"></a><code><span><span class="keyword">val</span> equal : <span><span class="label">eq</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <span class="arrow">-></span></span> bool)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> bool</span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-compare"><a href="#val-compare" class="anchor"></a><code><span><span class="keyword">val</span> compare : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <span class="arrow">-></span></span> int)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> int</span></code></div><div class="spec-doc"><p>Lexicographic comparison.</p></div></div><h3 id="utils"><a href="#utils" class="anchor"></a>Utils</h3><div class="odoc-spec"><div class="spec value anchored" id="val-make"><a href="#val-make" class="anchor"></a><code><span><span class="keyword">val</span> make : <span>int <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-repeat"><a href="#val-repeat" class="anchor"></a><code><span><span class="keyword">val</span> repeat : <span>int <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>repeat n l</code> is <code>append l (append l ... l)</code> <code>n</code> times.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-range"><a href="#val-range" class="anchor"></a><code><span><span class="keyword">val</span> range : <span>int <span class="arrow">-></span></span> <span>int <span class="arrow">-></span></span> <span>int <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>range i j</code> is <code>i; i+1; ... ; j</code> or <code>j; j-1; ...; i</code>.</p></div></div><h3 id="conversions"><a href="#conversions" class="anchor"></a>Conversions</h3><div class="odoc-spec"><div class="spec type anchored" id="type-iter"><a href="#type-iter" class="anchor"></a><code><span><span class="keyword">type</span> <span>'a iter</span></span><span> = <span><span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> unit)</span> <span class="arrow">-></span></span> unit</span></code></div></div><div class="odoc-spec"><div class="spec type anchored" id="type-gen"><a href="#type-gen" class="anchor"></a><code><span><span class="keyword">type</span> <span>'a gen</span></span><span> = <span>unit <span class="arrow">-></span></span> <span><span class="type-var">'a</span> option</span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-add_list"><a href="#val-add_list" class="anchor"></a><code><span><span class="keyword">val</span> add_list : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> list</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-of_list"><a href="#val-of_list" class="anchor"></a><code><span><span class="keyword">val</span> of_list : <span><span><span class="type-var">'a</span> list</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Convert a list to a RAL. <b>Caution</b>: non tail-rec.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-to_list"><a href="#val-to_list" class="anchor"></a><code><span><span class="keyword">val</span> to_list : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> list</span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-of_list_map"><a href="#val-of_list_map" class="anchor"></a><code><span><span class="keyword">val</span> of_list_map : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span class="type-var">'b</span>)</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> list</span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Combination of <a href="#val-of_list"><code>of_list</code></a> and <a href="#val-map"><code>map</code></a>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-of_array"><a href="#val-of_array" class="anchor"></a><code><span><span class="keyword">val</span> of_array : <span><span><span class="type-var">'a</span> array</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-add_array"><a href="#val-add_array" class="anchor"></a><code><span><span class="keyword">val</span> add_array : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-to_array"><a href="#val-to_array" class="anchor"></a><code><span><span class="keyword">val</span> to_array : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p>More efficient than on usual lists.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-add_iter"><a href="#val-add_iter" class="anchor"></a><code><span><span class="keyword">val</span> add_iter : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-iter">iter</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-of_iter"><a href="#val-of_iter" class="anchor"></a><code><span><span class="keyword">val</span> of_iter : <span><span><span class="type-var">'a</span> <a href="#type-iter">iter</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-to_iter"><a href="#val-to_iter" class="anchor"></a><code><span><span class="keyword">val</span> to_iter : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-iter">iter</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-add_gen"><a href="#val-add_gen" class="anchor"></a><code><span><span class="keyword">val</span> add_gen : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-gen">gen</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-of_gen"><a href="#val-of_gen" class="anchor"></a><code><span><span class="keyword">val</span> of_gen : <span><span><span class="type-var">'a</span> <a href="#type-gen">gen</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-to_gen"><a href="#val-to_gen" class="anchor"></a><code><span><span class="keyword">val</span> to_gen : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-gen">gen</a></span></span></code></div></div><h3 id="infix"><a href="#infix" class="anchor"></a>Infix</h3><div class="odoc-spec"><div class="spec module anchored" id="module-Infix"><a href="#module-Infix" class="anchor"></a><code><span><span class="keyword">module</span> <a href="Infix/index.html">Infix</a></span><span> : <span class="keyword">sig</span> ... <span class="keyword">end</span></span></code></div></div><div class="odoc-include"><details open="open"><summary class="spec include"><code><span><span class="keyword">include</span> <span class="keyword">module</span> <span class="keyword">type</span> <span class="keyword">of</span> <a href="Infix/index.html">Infix</a></span></code></summary><div class="odoc-spec"><div class="spec value anchored" id="val-(@+)"><a href="#val-(@+)" class="anchor"></a><code><span><span class="keyword">val</span> (@+) : <span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Cons (alias to <a href="#val-cons"><code>cons</code></a>).</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-(>>=)"><a href="#val-(>>=)" class="anchor"></a><code><span><span class="keyword">val</span> (>>=) : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span>)</span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Alias to <a href="#val-flat_map"><code>flat_map</code></a>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-(>|=)"><a href="#val-(>|=)" class="anchor"></a><code><span><span class="keyword">val</span> (>|=) : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span class="type-var">'b</span>)</span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Alias to <a href="#val-map"><code>map</code></a>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-(<*>)"><a href="#val-(<*>)" class="anchor"></a><code><span><span class="keyword">val</span> (<*>) : <span><span><span>(<span><span class="type-var">'a</span> <span class="arrow">-></span></span> <span class="type-var">'b</span>)</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">-></span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Alias to <a href="#val-app"><code>app</code></a>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-(--)"><a href="#val-(--)" class="anchor"></a><code><span><span class="keyword">val</span> (--) : <span>int <span class="arrow">-></span></span> <span>int <span class="arrow">-></span></span> <span>int <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p>Alias to <a href="#val-range"><code>range</code></a>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-(--^)"><a href="#val-(--^)" class="anchor"></a><code><span><span class="keyword">val</span> (--^) : <span>int <span class="arrow">-></span></span> <span>int <span class="arrow">-></span></span> <span>int <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>a --^ b</code> is the integer range from <code>a</code> to <code>b</code>, where <code>b</code> is excluded.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.17</li></ul></div></div></details></div><h3 id="io"><a href="#io" class="anchor"></a>IO</h3><div class="odoc-spec"><div class="spec type anchored" id="type-printer"><a href="#type-printer" class="anchor"></a><code><span><span class="keyword">type</span> <span>'a printer</span></span><span> = <span><span class="xref-unresolved">Stdlib</span>.Format.formatter <span class="arrow">-></span></span> <span><span class="type-var">'a</span> <span class="arrow">-></span></span> unit</span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-pp"><a href="#val-pp" class="anchor"></a><code><span><span class="keyword">val</span> pp : <span><span class="optlabel">?pp_sep</span>:<span>unit <a href="#type-printer">printer</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-printer">printer</a></span> <span class="arrow">-></span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <a href="#type-printer">printer</a></span></span></code></div></div></div></body></html>
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