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<html xmlns="http://www.w3.org/1999/xhtml"><head><title>CCArrayLabels (containers.CCArrayLabels)</title><meta charset="utf-8"/><link rel="stylesheet" href="../../_odoc-theme/odoc.css"/><meta name="generator" content="odoc 3.1.0"/><meta name="viewport" content="width=device-width,initial-scale=1.0"/><script src="../../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">Index</a> &#x00BB; <a href="../index.html">containers</a> &#x00BB; CCArrayLabels</nav><header class="odoc-preamble"><h1>Module <code><span>CCArrayLabels</span></code></h1><p>Array utils (Labeled version of <a href="../CCArray/index.html"><code>CCArray</code></a>)</p></header><div class="odoc-tocs"><nav class="odoc-toc odoc-local-toc"><ul><li><a href="#arrays">Arrays</a><ul><li><a href="#iterators">Iterators</a></li><li><a href="#iterators-on-two-arrays">Iterators on two arrays</a></li><li><a href="#array-scanning">Array scanning</a></li><li><a href="#arrays-of-pairs">Arrays of pairs</a></li><li><a href="#sorting_and_shuffling">Sorting and shuffling</a></li><li><a href="#arrays-and-sequences">Arrays and Sequences</a></li><li><a href="#array_concurrency">Arrays and concurrency safety</a><ul><li><a href="#array_atomicity">Atomicity</a></li><li><a href="#array_data_race">Data races</a></li><li><a href="#array_data_race_exceptions">Float arrays</a></li></ul></li></ul></li><li><a href="#io">IO</a></li><li><a href="#generic-functions">Generic Functions</a><ul><li><a href="#infix-operators">Infix Operators</a></li></ul></li></ul></nav></div><div class="odoc-content"><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">&#45;&gt;</span></span> unit)</span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p>Fast internal iterator.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 2.8</li></ul></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">&#45;&gt;</span></span> <span><span class="type-var">'a</span> option</span></span></code></div></div><div class="odoc-spec"><div class="spec type anchored" id="type-equal"><a href="#type-equal" class="anchor"></a><code><span><span class="keyword">type</span> <span>'a equal</span></span><span> = <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> bool</span></code></div></div><div class="odoc-spec"><div class="spec type anchored" id="type-ord"><a href="#type-ord" class="anchor"></a><code><span><span class="keyword">type</span> <span>'a ord</span></span><span> = <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int</span></code></div></div><div class="odoc-spec"><div class="spec type anchored" id="type-random_gen"><a href="#type-random_gen" class="anchor"></a><code><span><span class="keyword">type</span> <span>'a random_gen</span></span><span> = <span><a href="../../ocaml/Stdlib/Random/State/index.html#type-t">Stdlib.Random.State.t</a> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span></span></code></div></div><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><a href="../../ocaml/Stdlib/Format/index.html#type-formatter">Stdlib.Format.formatter</a> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div></div><h3 id="arrays"><a href="#arrays" class="anchor"></a>Arrays</h3><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><span> = <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p>An alias for the type of arrays.</p></div></div><div class="odoc-spec"><div class="spec value external 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> array</span> <span class="arrow">&#45;&gt;</span></span> int</span></code></div><div class="spec-doc"><p>Return the length (number of elements) of the given array.</p></div></div><div class="odoc-spec"><div class="spec value external 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> array</span> <span class="arrow">&#45;&gt;</span></span> <span>int <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span></span></code></div><div class="spec-doc"><p><code>get a n</code> returns the element number <code>n</code> of array <code>a</code>. The first element has number 0. The last element has number <code>length a - 1</code>. You can also write <code>a.(n)</code> instead of <code>get a n</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>n</code> is outside the range 0 to <code>(length a - 1)</code>.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value external 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> array</span> <span class="arrow">&#45;&gt;</span></span> <span>int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p><code>set a n x</code> modifies array <code>a</code> in place, replacing element number <code>n</code> with <code>x</code>. You can also write <code>a.(n) &lt;- x</code> instead of <code>set a n x</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>n</code> is outside the range 0 to <code>length a - 1</code>.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value external anchored" id="val-make"><a href="#val-make" class="anchor"></a><code><span><span class="keyword">val</span> make : <span>int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p><code>make n x</code> returns a fresh array of length <code>n</code>, initialized with <code>x</code>. All the elements of this new array are initially physically equal to <code>x</code> (in the sense of the <code>==</code> predicate). Consequently, if <code>x</code> is mutable, it is shared among all elements of the array, and modifying <code>x</code> through one of the array entries will modify all other entries at the same time.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>n &lt; 0</code> or <code>n &gt; Sys.max_array_length</code>. If the value of <code>x</code> is a floating-point number, then the maximum size is only <code>Sys.max_array_length / 2</code>.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value external anchored" id="val-create_float"><a href="#val-create_float" class="anchor"></a><code><span><span class="keyword">val</span> create_float : <span>int <span class="arrow">&#45;&gt;</span></span> <span>float array</span></span></code></div><div class="spec-doc"><p><code>create_float n</code> returns a fresh float array of length <code>n</code>, with uninitialized data.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.03</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-init"><a href="#val-init" class="anchor"></a><code><span><span class="keyword">val</span> init : <span>int <span class="arrow">&#45;&gt;</span></span> <span><span class="label">f</span>:<span>(<span>int <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p><code>init n ~f</code> returns a fresh array of length <code>n</code>, with element number <code>i</code> initialized to the result of <code>f i</code>. In other terms, <code>init n ~f</code> tabulates the results of <code>f</code> applied in order to the integers <code>0</code> to <code>n-1</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>n &lt; 0</code> or <code>n &gt; Sys.max_array_length</code>. If the return type of <code>f</code> is <code>float</code>, then the maximum size is only <code>Sys.max_array_length / 2</code>.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-make_matrix"><a href="#val-make_matrix" class="anchor"></a><code><span><span class="keyword">val</span> make_matrix : <span><span class="label">dimx</span>:int <span class="arrow">&#45;&gt;</span></span> <span><span class="label">dimy</span>:int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> array</span></span></code></div><div class="spec-doc"><p><code>make_matrix ~dimx ~dimy e</code> returns a two-dimensional array (an array of arrays) with first dimension <code>dimx</code> and second dimension <code>dimy</code>. All the elements of this new matrix are initially physically equal to <code>e</code>. The element (<code>x,y</code>) of a matrix <code>m</code> is accessed with the notation <code>m.(x).(y)</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>dimx</code> or <code>dimy</code> is negative or greater than <code>Sys.max_array_length</code>. If the value of <code>e</code> is a floating-point number, then the maximum size is only <code>Sys.max_array_length / 2</code>.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-init_matrix"><a href="#val-init_matrix" class="anchor"></a><code><span><span class="keyword">val</span> init_matrix :
<span><span class="label">dimx</span>:int <span class="arrow">&#45;&gt;</span></span>
<span><span class="label">dimy</span>:int <span class="arrow">&#45;&gt;</span></span>
<span><span class="label">f</span>:<span>(<span>int <span class="arrow">&#45;&gt;</span></span> <span>int <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span>)</span> <span class="arrow">&#45;&gt;</span></span>
<span><span><span class="type-var">'a</span> array</span> array</span></span></code></div><div class="spec-doc"><p><code>init_matrix ~dimx ~dimy ~f</code> returns a two-dimensional array (an array of arrays) with first dimension <code>dimx</code> and second dimension <code>dimy</code>, where the element at index (<code>x,y</code>) is initialized with <code>f x y</code>. The element (<code>x,y</code>) of a matrix <code>m</code> is accessed with the notation <code>m.(x).(y)</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>dimx</code> or <code>dimy</code> is negative or greater than <code>Sys.max_array_length</code>. If the return type of <code>f</code> is <code>float</code>, then the maximum size is only <code>Sys.max_array_length / 2</code>.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 5.2</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> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p><code>append v1 v2</code> returns a fresh array containing the concatenation of the arrays <code>v1</code> and <code>v2</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>length v1 + length v2 &gt; Sys.max_array_length</code>.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-concat"><a href="#val-concat" class="anchor"></a><code><span><span class="keyword">val</span> concat : <span><span><span><span class="type-var">'a</span> array</span> list</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p>Same as <a href="#val-append"><code>append</code></a>, but concatenates a list of arrays.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-sub"><a href="#val-sub" class="anchor"></a><code><span><span class="keyword">val</span> sub : <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">pos</span>:int <span class="arrow">&#45;&gt;</span></span> <span><span class="label">len</span>:int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p><code>sub a ~pos ~len</code> returns a fresh array of length <code>len</code>, containing the elements number <code>pos</code> to <code>pos + len - 1</code> of array <code>a</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>pos</code> and <code>len</code> do not designate a valid subarray of <code>a</code>; that is, if <code>pos &lt; 0</code>, or <code>len &lt; 0</code>, or <code>pos + len &gt; length a</code>.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-copy"><a href="#val-copy" class="anchor"></a><code><span><span class="keyword">val</span> copy : <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p><code>copy a</code> returns a copy of <code>a</code>, that is, a fresh array containing the same elements as <code>a</code>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-fill"><a href="#val-fill" class="anchor"></a><code><span><span class="keyword">val</span> fill : <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">pos</span>:int <span class="arrow">&#45;&gt;</span></span> <span><span class="label">len</span>:int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p><code>fill a ~pos ~len x</code> modifies the array <code>a</code> in place, storing <code>x</code> in elements number <code>pos</code> to <code>pos + len - 1</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>pos</code> and <code>len</code> do not designate a valid subarray of <code>a</code>.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-blit"><a href="#val-blit" class="anchor"></a><code><span><span class="keyword">val</span> blit :
<span><span class="label">src</span>:<span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="label">src_pos</span>:int <span class="arrow">&#45;&gt;</span></span>
<span><span class="label">dst</span>:<span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="label">dst_pos</span>:int <span class="arrow">&#45;&gt;</span></span>
<span><span class="label">len</span>:int <span class="arrow">&#45;&gt;</span></span>
unit</span></code></div><div class="spec-doc"><p><code>blit ~src ~src_pos ~dst ~dst_pos ~len</code> copies <code>len</code> elements from array <code>src</code>, starting at element number <code>src_pos</code>, to array <code>dst</code>, starting at element number <code>dst_pos</code>. It works correctly even if <code>src</code> and <code>dst</code> are the same array, and the source and destination chunks overlap.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>src_pos</code> and <code>len</code> do not designate a valid subarray of <code>src</code>, or if <code>dst_pos</code> and <code>len</code> do not designate a valid subarray of <code>dst</code>.</p></li></ul></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> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> list</span></span></code></div><div class="spec-doc"><p><code>to_list a</code> returns the list of all the elements of <code>a</code>.</p></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">&#45;&gt;</span></span> <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p><code>of_list l</code> returns a fresh array containing the elements 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 length of <code>l</code> is greater than <code>Sys.max_array_length</code>.</p></li></ul></div></div><h4 id="iterators"><a href="#iterators" class="anchor"></a>Iterators</h4><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">&#45;&gt;</span></span> unit)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p><code>iter ~f a</code> applies function <code>f</code> in turn to all the elements of <code>a</code>. It is equivalent to <code>f a.(0); f a.(1); ...; f a.(length a - 1); ()</code>.</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">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> unit)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p>Same as <a href="#val-iter"><code>iter</code></a>, but the function is applied to the index of the element as first argument, and the element itself as second argument.</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">&#45;&gt;</span></span> <span class="type-var">'b</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> array</span></span></code></div><div class="spec-doc"><p><code>map ~f a</code> applies function <code>f</code> to all the elements of <code>a</code>, and builds an array with the results returned by <code>f</code>: <code>[| f a.(0); f a.(1); ...; f a.(length a - 1) |]</code>.</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">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'b</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> array</span></span></code></div><div class="spec-doc"><p>Same as <a href="#val-map"><code>map</code></a>, but the function is applied to the index of the element as first argument, and the element itself as second argument.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-fold_left"><a href="#val-fold_left" class="anchor"></a><code><span><span class="keyword">val</span> fold_left : <span><span class="label">f</span>:<span>(<span><span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'acc</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">init</span>:<span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'acc</span></span></code></div><div class="spec-doc"><p><code>fold_left ~f ~init a</code> computes <code>f (... (f (f init a.(0)) a.(1)) ...) a.(n-1)</code>, where <code>n</code> is the length of the array <code>a</code>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-fold_left_map"><a href="#val-fold_left_map" class="anchor"></a><code><span><span class="keyword">val</span> fold_left_map :
<span><span class="label">f</span>:<span>(<span><span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'acc</span> * <span class="type-var">'b</span>)</span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="label">init</span>:<span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span>
<span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span>
<span class="type-var">'acc</span> * <span><span class="type-var">'b</span> array</span></span></code></div><div class="spec-doc"><p><code>fold_left_map</code> is a combination of <a href="#val-fold_left"><code>fold_left</code></a> and <a href="#val-map"><code>map</code></a> that threads an accumulator through calls to <code>f</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.13</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-fold_right"><a href="#val-fold_right" class="anchor"></a><code><span><span class="keyword">val</span> fold_right : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'acc</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">init</span>:<span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'acc</span></span></code></div><div class="spec-doc"><p><code>fold_right ~f a ~init</code> computes <code>f a.(0) (f a.(1) ( ... (f a.(n-1) init) ...))</code>, where <code>n</code> is the length of the array <code>a</code>.</p></div></div><h4 id="iterators-on-two-arrays"><a href="#iterators-on-two-arrays" class="anchor"></a>Iterators on two arrays</h4><div class="odoc-spec"><div class="spec value anchored" id="val-iter2"><a href="#val-iter2" class="anchor"></a><code><span><span class="keyword">val</span> iter2 : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <span class="arrow">&#45;&gt;</span></span> unit)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> array</span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p><code>iter2 ~f a b</code> applies function <code>f</code> to all the elements of <code>a</code> and <code>b</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if the arrays are not the same size.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.05</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-map2"><a href="#val-map2" class="anchor"></a><code><span><span class="keyword">val</span> map2 : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'c</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'c</span> array</span></span></code></div><div class="spec-doc"><p><code>map2 ~f a b</code> applies function <code>f</code> to all the elements of <code>a</code> and <code>b</code>, and builds an array with the results returned by <code>f</code>: <code>[| f a.(0) b.(0); ...; f a.(length a - 1) b.(length b - 1)|]</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if the arrays are not the same size.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.05</li></ul></div></div><h4 id="array-scanning"><a href="#array-scanning" class="anchor"></a>Array scanning</h4><div class="odoc-spec"><div class="spec value anchored" id="val-for_all"><a href="#val-for_all" class="anchor"></a><code><span><span class="keyword">val</span> for_all : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> bool)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> bool</span></code></div><div class="spec-doc"><p><code>for_all ~f [|a1; ...; an|]</code> checks if all elements of the array satisfy the predicate <code>f</code>. That is, it returns <code>(f a1) &amp;&amp; (f a2) &amp;&amp; ... &amp;&amp; (f an)</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.03</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-exists"><a href="#val-exists" class="anchor"></a><code><span><span class="keyword">val</span> exists : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> bool)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> bool</span></code></div><div class="spec-doc"><p><code>exists ~f [|a1; ...; an|]</code> checks if at least one element of the array satisfies the predicate <code>f</code>. That is, it returns <code>(f a1) || (f a2) || ... || (f an)</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.03</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-memq"><a href="#val-memq" class="anchor"></a><code><span><span class="keyword">val</span> memq : <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">set</span>:<span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> bool</span></code></div><div class="spec-doc"><p>Same as <a href="#val-mem"><code>mem</code></a>, but uses physical equality instead of structural equality to compare array elements.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.03</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-find_opt"><a href="#val-find_opt" class="anchor"></a><code><span><span class="keyword">val</span> find_opt : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> bool)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> option</span></span></code></div><div class="spec-doc"><p><code>find_opt ~f a</code> returns the first element of the array <code>a</code> that satisfies the predicate <code>f</code>, or <code>None</code> if there is no value that satisfies <code>f</code> in the array <code>a</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.13</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-find_index"><a href="#val-find_index" class="anchor"></a><code><span><span class="keyword">val</span> find_index : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> bool)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span>int option</span></span></code></div><div class="spec-doc"><p><code>find_index ~f a</code> returns <code>Some i</code>, where <code>i</code> is the index of the first element of the array <code>a</code> that satisfies <code>f x</code>, if there is such an element.</p><p>It returns <code>None</code> if there is no such element.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 5.1</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-find_mapi"><a href="#val-find_mapi" class="anchor"></a><code><span><span class="keyword">val</span> find_mapi : <span><span class="label">f</span>:<span>(<span>int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> option</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> option</span></span></code></div><div class="spec-doc"><p>Same as <code>find_map</code>, but the predicate is applied to the index of the element as first argument (counting from 0), and the element itself as second argument.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 5.1</li></ul></div></div><h4 id="arrays-of-pairs"><a href="#arrays-of-pairs" class="anchor"></a>Arrays of pairs</h4><div class="odoc-spec"><div class="spec value anchored" id="val-split"><a href="#val-split" class="anchor"></a><code><span><span class="keyword">val</span> split : <span><span><span>(<span class="type-var">'a</span> * <span class="type-var">'b</span>)</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> array</span> * <span><span class="type-var">'b</span> array</span></span></code></div><div class="spec-doc"><p><code>split [|(a1,b1); ...; (an,bn)|]</code> is <code>([|a1; ...; an|], [|b1; ...; bn|])</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.13</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-combine"><a href="#val-combine" class="anchor"></a><code><span><span class="keyword">val</span> combine : <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span>(<span class="type-var">'a</span> * <span class="type-var">'b</span>)</span> array</span></span></code></div><div class="spec-doc"><p><code>combine [|a1; ...; an|] [|b1; ...; bn|]</code> is <code>[|(a1,b1); ...; (an,bn)|]</code>. Raise <code>Invalid_argument</code> if the two arrays have different lengths.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.13</li></ul></div></div><h4 id="sorting_and_shuffling"><a href="#sorting_and_shuffling" class="anchor"></a>Sorting and shuffling</h4><div class="odoc-spec"><div class="spec value anchored" id="val-sort"><a href="#val-sort" class="anchor"></a><code><span><span class="keyword">val</span> sort : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p>Sort an array in increasing order according to a comparison function. The comparison function must return 0 if its arguments compare as equal, a positive integer if the first is greater, and a negative integer if the first is smaller (see below for a complete specification). For example, <a href="../../ocaml/Stdlib/index.html#val-compare"><code>Stdlib.compare</code></a> is a suitable comparison function. After calling <code>sort</code>, the array is sorted in place in increasing order. <code>sort</code> is guaranteed to run in constant heap space and (at most) logarithmic stack space.</p><p>The current implementation uses Heap Sort. It runs in constant stack space.</p><p>Specification of the comparison function: Let <code>a</code> be the array and <code>cmp</code> the comparison function. The following must be true for all <code>x</code>, <code>y</code>, <code>z</code> in <code>a</code> :</p><ul><li><code>cmp x y</code> &gt; 0 if and only if <code>cmp y x</code> &lt; 0</li><li>if <code>cmp x y</code> &gt;= 0 and <code>cmp y z</code> &gt;= 0 then <code>cmp x z</code> &gt;= 0</li></ul><p>When <code>sort</code> returns, <code>a</code> contains the same elements as before, reordered in such a way that for all i and j valid indices of <code>a</code> :</p><ul><li><code>cmp a.(i) a.(j)</code> &gt;= 0 if i &gt;= j</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-stable_sort"><a href="#val-stable_sort" class="anchor"></a><code><span><span class="keyword">val</span> stable_sort : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p>Same as <a href="#val-sort"><code>sort</code></a>, but the sorting algorithm is stable (i.e. elements that compare equal are kept in their original order) and not guaranteed to run in constant heap space.</p><p>The current implementation uses Merge Sort. It uses a temporary array of length <code>n/2</code>, where <code>n</code> is the length of the array. It is usually faster than the current implementation of <a href="#val-sort"><code>sort</code></a>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-fast_sort"><a href="#val-fast_sort" class="anchor"></a><code><span><span class="keyword">val</span> fast_sort : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p>Same as <a href="#val-sort"><code>sort</code></a> or <a href="#val-stable_sort"><code>stable_sort</code></a>, whichever is faster on typical input.</p></div></div><h4 id="arrays-and-sequences"><a href="#arrays-and-sequences" class="anchor"></a>Arrays and Sequences</h4><div class="odoc-spec"><div class="spec value anchored" id="val-to_seq"><a href="#val-to_seq" class="anchor"></a><code><span><span class="keyword">val</span> to_seq : <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <a href="../../ocaml/Stdlib/Seq/index.html#type-t">Stdlib.Seq.t</a></span></span></code></div><div class="spec-doc"><p>Iterate on the array, in increasing order. Modifications of the array during iteration will be reflected in the sequence.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.07</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-to_seqi"><a href="#val-to_seqi" class="anchor"></a><code><span><span class="keyword">val</span> to_seqi : <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> <span><span>(int * <span class="type-var">'a</span>)</span> <a href="../../ocaml/Stdlib/Seq/index.html#type-t">Stdlib.Seq.t</a></span></span></code></div><div class="spec-doc"><p>Iterate on the array, in increasing order, yielding indices along elements. Modifications of the array during iteration will be reflected in the sequence.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.07</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-of_seq"><a href="#val-of_seq" class="anchor"></a><code><span><span class="keyword">val</span> of_seq : <span><span><span class="type-var">'a</span> <a href="../../ocaml/Stdlib/Seq/index.html#type-t">Stdlib.Seq.t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p>Create an array from the generator</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 4.07</li></ul></div></div><h4 id="array_concurrency"><a href="#array_concurrency" class="anchor"></a>Arrays and concurrency safety</h4><p>Care must be taken when concurrently accessing arrays from multiple domains: accessing an array will never crash a program, but unsynchronized accesses might yield surprising (non-sequentially-consistent) results.</p><h5 id="array_atomicity"><a href="#array_atomicity" class="anchor"></a>Atomicity</h5><p>Every array operation that accesses more than one array element is not atomic. This includes iteration, scanning, sorting, splitting and combining arrays.</p><p>For example, consider the following program:</p><pre class="language-ocaml"><code>let size = 100_000_000
let a = ArrayLabels.make size 1
let d1 = Domain.spawn (fun () -&gt;
ArrayLabels.iteri ~f:(fun i x -&gt; a.(i) &lt;- x + 1) a
)
let d2 = Domain.spawn (fun () -&gt;
ArrayLabels.iteri ~f:(fun i x -&gt; a.(i) &lt;- 2 * x + 1) a
)
let () = Domain.join d1; Domain.join d2</code></pre><p>After executing this code, each field of the array <code>a</code> is either <code>2</code>, <code>3</code>, <code>4</code> or <code>5</code>. If atomicity is required, then the user must implement their own synchronization (for example, using <code>Mutex.t</code>).</p><h5 id="array_data_race"><a href="#array_data_race" class="anchor"></a>Data races</h5><p>If two domains only access disjoint parts of the array, then the observed behaviour is the equivalent to some sequential interleaving of the operations from the two domains.</p><p>A data race is said to occur when two domains access the same array element without synchronization and at least one of the accesses is a write. In the absence of data races, the observed behaviour is equivalent to some sequential interleaving of the operations from different domains.</p><p>Whenever possible, data races should be avoided by using synchronization to mediate the accesses to the array elements.</p><p>Indeed, in the presence of data races, programs will not crash but the observed behaviour may not be equivalent to any sequential interleaving of operations from different domains. Nevertheless, even in the presence of data races, a read operation will return the value of some prior write to that location (with a few exceptions for float arrays).</p><h5 id="array_data_race_exceptions"><a href="#array_data_race_exceptions" class="anchor"></a>Float arrays</h5><p>Float arrays have two supplementary caveats in the presence of data races.</p><p>First, the blit operation might copy an array byte-by-byte. Data races between such a blit operation and another operation might produce surprising values due to tearing: partial writes interleaved with other operations can create float values that would not exist with a sequential execution.</p><p>For instance, at the end of</p><pre class="language-ocaml"><code> let zeros = Array.make size 0.
let max_floats = Array.make size Float.max_float
let res = Array.copy zeros
let d1 = Domain.spawn (fun () -&gt; Array.blit zeros 0 res 0 size)
let d2 = Domain.spawn (fun () -&gt; Array.blit max_floats 0 res 0 size)
let () = Domain.join d1; Domain.join d2</code></pre><p>the <code>res</code> array might contain values that are neither <code>0.</code> nor <code>max_float</code>.</p><p>Second, on 32-bit architectures, getting or setting a field involves two separate memory accesses. In the presence of data races, the user may observe tearing on any operation.</p><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><code>empty</code> is the empty array, physically equal to <code>[||]</code>.</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><span class="type-var">'a</span> <a href="#type-equal">equal</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <a href="#type-equal">equal</a></span></span></code></div><div class="spec-doc"><p><code>equal eq a1 a2</code> is <code>true</code> if the lengths of <code>a1</code> and <code>a2</code> are the same and if their corresponding elements test equal, using <code>eq</code>.</p></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><span class="type-var">'a</span> <a href="#type-ord">ord</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <a href="#type-ord">ord</a></span></span></code></div><div class="spec-doc"><p><code>compare cmp a1 a2</code> compares arrays <code>a1</code> and <code>a2</code> using the function comparison <code>cmp</code>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-swap"><a href="#val-swap" class="anchor"></a><code><span><span class="keyword">val</span> swap : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span>int <span class="arrow">&#45;&gt;</span></span> <span>int <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p><code>swap a i j</code> swaps elements at indices <code>i</code> and <code>j</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 1.4</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-get_safe"><a href="#val-get_safe" class="anchor"></a><code><span><span class="keyword">val</span> get_safe : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span>int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> option</span></span></code></div><div class="spec-doc"><p><code>get_safe a i</code> returns <code>Some a.(i)</code> if <code>i</code> is a valid index.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.18</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-map_inplace"><a href="#val-map_inplace" class="anchor"></a><code><span><span class="keyword">val</span> map_inplace : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p><code>map_inplace ~f a</code> replace all elements of <code>a</code> by its image by <code>f</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.8</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-mapi_inplace"><a href="#val-mapi_inplace" class="anchor"></a><code><span><span class="keyword">val</span> mapi_inplace : <span><span class="label">f</span>:<span>(<span>int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p><code>mapi_inplace ~f a</code> replace all elements of <code>a</code> by its image by <code>f</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.10</li></ul></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">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">init</span>:<span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span></span></code></div><div class="spec-doc"><p><code>fold ~f ~init a</code> computes <code>f (… (f (f init a.(0)) a.(1)) …) a.(n-1)</code>, where <code>n</code> is the length of the array <code>a</code>. Same as <code>ArrayLabels.fold_left</code></p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-foldi"><a href="#val-foldi" class="anchor"></a><code><span><span class="keyword">val</span> foldi : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span>int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">init</span>:<span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span></span></code></div><div class="spec-doc"><p><code>foldi ~f ~init a</code> is just like <a href="#val-fold"><code>fold</code></a>, but it also passes in the index of each element as the second argument to the folded function <code>f</code>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-fold_while"><a href="#val-fold_while" class="anchor"></a><code><span><span class="keyword">val</span> fold_while :
<span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span> * <span>[ `Stop <span>| `Continue</span> ]</span>)</span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="label">init</span>:<span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span>
<span><span><span class="type-var">'b</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span>
<span class="type-var">'a</span></span></code></div><div class="spec-doc"><p><code>fold_while ~f ~init a</code> folds left on array <code>a</code> until a stop condition via <code>('a, `Stop)</code> is indicated by the accumulator.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.8</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-fold_map"><a href="#val-fold_map" class="anchor"></a><code><span><span class="keyword">val</span> fold_map : <span><span class="label">f</span>:<span>(<span><span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'acc</span> * <span class="type-var">'b</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">init</span>:<span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'acc</span> * <span><span class="type-var">'b</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>fold_map ~f ~init a</code> is a <code>fold_left</code>-like function, but it also maps the array to another array.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 1.2, but only</li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 2.1 with labels</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-scan_left"><a href="#val-scan_left" class="anchor"></a><code><span><span class="keyword">val</span> scan_left : <span><span class="label">f</span>:<span>(<span><span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'acc</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">init</span>:<span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'acc</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>scan_left ~f ~init a</code> returns the array <code> [|init; f init x0; f (f init a.(0)) a.(1); …|] </code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 1.2, but only</li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 2.1 with labels</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-reverse_in_place"><a href="#val-reverse_in_place" class="anchor"></a><code><span><span class="keyword">val</span> reverse_in_place : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p><code>reverse_in_place a</code> reverses the array <code>a</code> in place.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-sorted"><a href="#val-sorted" class="anchor"></a><code><span><span class="keyword">val</span> sorted : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> array</span></span></code></div><div class="spec-doc"><p><code>sorted ~f a</code> makes a copy of <code>a</code> and sorts it with <code>f</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 1.0</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-sort_indices"><a href="#val-sort_indices" class="anchor"></a><code><span><span class="keyword">val</span> sort_indices : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span>int array</span></span></code></div><div class="spec-doc"><p><code>sort_indices ~f a</code> returns a new array <code>b</code>, with the same length as <code>a</code>, such that <code>b.(i)</code> is the index at which the <code>i</code>-th element of <code>sorted f a</code> appears in <code>a</code>. <code>a</code> is not modified.</p><p>In other words, <code>map (fun i -&gt; a.(i)) (sort_indices f a) = sorted f a</code>. <code>sort_indices</code> yields the inverse permutation of <a href="#val-sort_ranking"><code>sort_ranking</code></a>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 1.0</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-sort_ranking"><a href="#val-sort_ranking" class="anchor"></a><code><span><span class="keyword">val</span> sort_ranking : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span>int array</span></span></code></div><div class="spec-doc"><p><code>sort_ranking ~f a</code> returns a new array <code>b</code>, with the same length as <code>a</code>, such that <code>b.(i)</code> is the index at which the <code>i</code>-th element of <code>a</code> appears in <code>sorted f a</code>. <code>a</code> is not modified.</p><p>In other words, <code>map (fun i -&gt; (sorted f a).(i)) (sort_ranking f a) = a</code>. <code>sort_ranking</code> yields the inverse permutation of <a href="#val-sort_indices"><code>sort_indices</code></a>.</p><p>In the absence of duplicate elements in <code>a</code>, we also have <code>lookup_exn a.(i) (sorted a) = (sorted_ranking a).(i)</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 1.0</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-mem"><a href="#val-mem" class="anchor"></a><code><span><span class="keyword">val</span> mem : <span><span class="optlabel">?eq</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> bool)</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> bool</span></code></div><div class="spec-doc"><p><code>mem ~eq x a</code> return true if x is present in <code>a</code>. Linear time.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.0</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-find_map"><a href="#val-find_map" class="anchor"></a><code><span><span class="keyword">val</span> find_map : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> option</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> option</span></span></code></div><div class="spec-doc"><p><code>find_map ~f a</code> returns <code>Some y</code> if there is an element <code>x</code> such that <code>f x = Some y</code>. Otherwise returns <code>None</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 1.3, but only</li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 2.1 with labels</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-find_map_i"><a href="#val-find_map_i" class="anchor"></a><code><span><span class="keyword">val</span> find_map_i : <span><span class="label">f</span>:<span>(<span>int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> option</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> option</span></span></code></div><div class="spec-doc"><p><code>find_map_i ~f a</code> is like <a href="#val-find_map"><code>find_map</code></a>, but the index of the element is also passed to the predicate function <code>f</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 1.3, but only</li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 2.1 with labels</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-find_idx"><a href="#val-find_idx" class="anchor"></a><code><span><span class="keyword">val</span> find_idx : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> bool)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span>(int * <span class="type-var">'a</span>)</span> option</span></span></code></div><div class="spec-doc"><p><code>find_idx ~f a</code> returns <code>Some (i,x)</code> where <code>x</code> is the <code>i</code>-th element of <code>a</code>, and <code>f x</code> holds. Otherwise returns <code>None</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.3.4</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-max"><a href="#val-max" class="anchor"></a><code><span><span class="keyword">val</span> max : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> option</span></span></code></div><div class="spec-doc"><p><code>max ~cmp a</code> returns <code>None</code> if <code>a</code> is empty, otherwise, returns <code>Some e</code> where <code>e</code> is a maximum element in <code>a</code> with respect to <code>cmp</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.12</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-max_exn"><a href="#val-max_exn" class="anchor"></a><code><span><span class="keyword">val</span> max_exn : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span></span></code></div><div class="spec-doc"><p><code>max_exn ~cmp a</code> is like <a href="#val-max"><code>max</code></a>, but</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>a</code> is empty.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.12</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-argmax"><a href="#val-argmax" class="anchor"></a><code><span><span class="keyword">val</span> argmax : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span>int option</span></span></code></div><div class="spec-doc"><p><code>argmax ~cmp a</code> returns <code>None</code> if <code>a</code> is empty, otherwise, returns <code>Some i</code> where <code>i</code> is the index of a maximum element in <code>a</code> with respect to <code>cmp</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.12</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-argmax_exn"><a href="#val-argmax_exn" class="anchor"></a><code><span><span class="keyword">val</span> argmax_exn : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> int</span></code></div><div class="spec-doc"><p><code>argmax_exn ~cmp a</code> is like <a href="#val-argmax"><code>argmax</code></a>, but</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>a</code> is empty.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.12</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-min"><a href="#val-min" class="anchor"></a><code><span><span class="keyword">val</span> min : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> option</span></span></code></div><div class="spec-doc"><p><code>min ~cmp a</code> returns <code>None</code> if <code>a</code> is empty, otherwise, returns <code>Some e</code> where <code>e</code> is a minimum element in <code>a</code> with respect to <code>cmp</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.12</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-min_exn"><a href="#val-min_exn" class="anchor"></a><code><span><span class="keyword">val</span> min_exn : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'a</span></span></code></div><div class="spec-doc"><p><code>min_exn ~cmp a</code> is like <a href="#val-min"><code>min</code></a>, but</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>a</code> is empty.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.12</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-argmin"><a href="#val-argmin" class="anchor"></a><code><span><span class="keyword">val</span> argmin : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span>int option</span></span></code></div><div class="spec-doc"><p><code>argmin ~cmp a</code> returns <code>None</code> if <code>a</code> is empty, otherwise, returns <code>Some i</code> where <code>i</code> is the index of a minimum element in <code>a</code> with respect to <code>cmp</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.12</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-argmin_exn"><a href="#val-argmin_exn" class="anchor"></a><code><span><span class="keyword">val</span> argmin_exn : <span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> int</span></code></div><div class="spec-doc"><p><code>argmin_exn ~cmp a</code> is like <a href="#val-argmin"><code>argmin</code></a>, but</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>a</code> is empty.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 3.12</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-lookup"><a href="#val-lookup" class="anchor"></a><code><span><span class="keyword">val</span> lookup : <span><span class="label">cmp</span>:<span><span class="type-var">'a</span> <a href="#type-ord">ord</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">key</span>:<span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span>int option</span></span></code></div><div class="spec-doc"><p><code>lookup ~cmp ~key a</code> lookups the index of some key <code>key</code> in a sorted array <code>a</code>. Undefined behavior if the array <code>a</code> is not sorted wrt <code>cmp</code>. Complexity: <code>O(log (n))</code> (dichotomic search).</p><ul class="at-tags"><li class="returns"><span class="at-tag">returns</span> <p><code>None</code> if the key <code>key</code> is not present, or <code>Some i</code> (<code>i</code> the index of the key) otherwise.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-lookup_exn"><a href="#val-lookup_exn" class="anchor"></a><code><span><span class="keyword">val</span> lookup_exn : <span><span class="label">cmp</span>:<span><span class="type-var">'a</span> <a href="#type-ord">ord</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">key</span>:<span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> int</span></code></div><div class="spec-doc"><p><code>lookup_exn ~cmp ~key a</code> is like <a href="#val-lookup"><code>lookup</code></a>, but</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Not_found</code> <p>if the key <code>key</code> is not present.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-bsearch"><a href="#val-bsearch" class="anchor"></a><code><span><span class="keyword">val</span> bsearch :
<span><span class="label">cmp</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="label">key</span>:<span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span>
<span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span>
<span>[ `All_lower <span>| `All_bigger</span> <span><span>| `Just_after</span> of int</span> <span>| `Empty</span> <span><span>| `At</span> of int</span> ]</span></span></code></div><div class="spec-doc"><p><code>bsearch ~cmp ~key a</code> finds the index of the object <code>key</code> in the array <code>a</code>, provided <code>a</code> is <b>sorted</b> using <code>cmp</code>. If the array is not sorted, the result is not specified (may raise Invalid_argument).</p><p>Complexity: <code>O(log n)</code> where n is the length of the array <code>a</code> (dichotomic search).</p><ul class="at-tags"><li class="returns"><span class="at-tag">returns</span> <ul><li><code>`At i</code> if <code>cmp a.(i) key = 0</code> (for some i).</li><li><code>`All_lower</code> if all elements of <code>a</code> are lower than <code>key</code>.</li><li><code>`All_bigger</code> if all elements of <code>a</code> are bigger than <code>key</code>.</li><li><code>`Just_after i</code> if <code>a.(i) &lt; key &lt; a.(i+1)</code>.</li><li><code>`Empty</code> if the array <code>a</code> is empty.</li></ul></li></ul><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if the array is found to be unsorted w.r.t <code>cmp</code>.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.13</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-for_all2"><a href="#val-for_all2" class="anchor"></a><code><span><span class="keyword">val</span> for_all2 : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <span class="arrow">&#45;&gt;</span></span> bool)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> bool</span></code></div><div class="spec-doc"><p><code>for_all2 ~f [|a1; …; an|] [|b1; …; bn|]</code> is <code>true</code> if each pair of elements <code>ai bi</code> satisfies the predicate <code>f</code>. That is, it returns <code>(f a1 b1) &amp;&amp; (f a2 b2) &amp;&amp;&amp;&amp; (f an bn)</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if arrays have distinct lengths. Allow different types.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.20</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-exists2"><a href="#val-exists2" class="anchor"></a><code><span><span class="keyword">val</span> exists2 : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <span class="arrow">&#45;&gt;</span></span> bool)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> bool</span></code></div><div class="spec-doc"><p><code>exists2 ~f [|a1; …; an|] [|b1; …; bn|]</code> is <code>true</code> if any pair of elements <code>ai bi</code> satisfies the predicate <code>f</code>. That is, it returns <code>(f a1 b1) || (f a2 b2) || … || (f an bn)</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if arrays have distinct lengths. Allow different types.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.20</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-fold2"><a href="#val-fold2" class="anchor"></a><code><span><span class="keyword">val</span> fold2 : <span><span class="label">f</span>:<span>(<span><span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'acc</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="label">init</span>:<span class="type-var">'acc</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'acc</span></span></code></div><div class="spec-doc"><p><code>fold2 ~f ~init a b</code> fold on two arrays <code>a</code> and <code>b</code> stepwise. It computes <code>f (… (f init a1 b1) …) an bn</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Invalid_argument</code> <p>if <code>a</code> and <code>b</code> have distinct lengths.</p></li></ul><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.20</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-shuffle"><a href="#val-shuffle" class="anchor"></a><code><span><span class="keyword">val</span> shuffle : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p><code>shuffle a</code> randomly shuffles the array <code>a</code>, in place.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-shuffle_with"><a href="#val-shuffle_with" class="anchor"></a><code><span><span class="keyword">val</span> shuffle_with : <span><a href="../../ocaml/Stdlib/Random/State/index.html#type-t">Stdlib.Random.State.t</a> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> unit</span></code></div><div class="spec-doc"><p><code>shuffle_with rs a</code> randomly shuffles the array <code>a</code> (like <a href="#val-shuffle"><code>shuffle</code></a>) but a specialized random state <code>rs</code> is used to control the random numbers being produced during shuffling (for reproducibility).</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-random_choose"><a href="#val-random_choose" class="anchor"></a><code><span><span class="keyword">val</span> random_choose : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <a href="#type-random_gen">random_gen</a></span></span></code></div><div class="spec-doc"><p><code>random_choose a rs</code> randomly chooses an element of <code>a</code>.</p><ul class="at-tags"><li class="raises"><span class="at-tag">raises</span> <code>Not_found</code> <p>if the array/slice is empty.</p></li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-to_string"><a href="#val-to_string" class="anchor"></a><code><span><span class="keyword">val</span> to_string : <span><span class="optlabel">?sep</span>:string <span class="arrow">&#45;&gt;</span></span> <span><span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> string)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> array</span> <span class="arrow">&#45;&gt;</span></span> string</span></code></div><div class="spec-doc"><p><code>to_string ~sep item_to_string a</code> print <code>a</code> to a string using <code>sep</code> as a separator between elements of <code>a</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 2.7</li></ul></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">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <a href="#type-iter">iter</a></span></span></code></div><div class="spec-doc"><p><code>to_iter a</code> returns an <code>iter</code> of the elements of an array <code>a</code>. The input array <code>a</code> is shared with the sequence and modification of it will result in modification of the iterator.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 2.8</li></ul></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">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <a href="#type-gen">gen</a></span></span></code></div><div class="spec-doc"><p><code>to_gen a</code> returns a <code>gen</code> of the elements of an array <code>a</code>.</p></div></div><h3 id="io"><a href="#io" class="anchor"></a>IO</h3><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_start</span>:<span>unit <a href="#type-printer">printer</a></span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="optlabel">?pp_stop</span>:<span>unit <a href="#type-printer">printer</a></span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="optlabel">?pp_sep</span>:<span>unit <a href="#type-printer">printer</a></span> <span class="arrow">&#45;&gt;</span></span>
<span><span><span class="type-var">'a</span> <a href="#type-printer">printer</a></span> <span class="arrow">&#45;&gt;</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 class="spec-doc"><p><code>pp ~pp_start ~pp_stop ~pp_sep pp_item ppf a</code> formats the array <code>a</code> on <code>ppf</code>. Each element is formatted with <code>pp_item</code>, <code>pp_start</code> is called at the beginning, <code>pp_stop</code> is called at the end, <code>pp_sep</code> is called between each elements. By defaults <code>pp_start</code> and <code>pp_stop</code> does nothing and <code>pp_sep</code> defaults to (fun out -&gt; Format.fprintf out &quot;,@ &quot;).</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-pp_i"><a href="#val-pp_i" class="anchor"></a><code><span><span class="keyword">val</span> pp_i :
<span><span class="optlabel">?pp_start</span>:<span>unit <a href="#type-printer">printer</a></span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="optlabel">?pp_stop</span>:<span>unit <a href="#type-printer">printer</a></span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="optlabel">?pp_sep</span>:<span>unit <a href="#type-printer">printer</a></span> <span class="arrow">&#45;&gt;</span></span>
<span><span>(<span>int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> <a href="#type-printer">printer</a></span>)</span> <span class="arrow">&#45;&gt;</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 class="spec-doc"><p><code>pp_i ~pp_start ~pp_stop ~pp_sep pp_item ppf a</code> prints the array <code>a</code> on <code>ppf</code>. The printing function <code>pp_item</code> is giving both index and element. <code>pp_start</code> is called at the beginning, <code>pp_stop</code> is called at the end, <code>pp_sep</code> is called between each elements. By defaults <code>pp_start</code> and <code>pp_stop</code> does nothing and <code>pp_sep</code> defaults to (fun out -&gt; Format.fprintf out &quot;,@ &quot;).</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">&#45;&gt;</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>rev a</code> copies the array <code>a</code> and reverses it in place.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.20</li></ul></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">&#45;&gt;</span></span> bool)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</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>filter ~f a</code> filters elements out of the array <code>a</code>. Only the elements satisfying the given predicate <code>f</code> will be kept.</p></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">&#45;&gt;</span></span> <span><span class="type-var">'b</span> option</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</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>filter_map ~f [|a1; …; an|]</code> calls <code>(f a1) … (f an)</code> and returns an array <code>b</code> consisting of all elements <code>bi</code> such as <code>f ai = Some bi</code>. When <code>f</code> returns <code>None</code>, the corresponding element of <code>a</code> is discarded.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-monoid_product"><a href="#val-monoid_product" class="anchor"></a><code><span><span class="keyword">val</span> monoid_product : <span><span class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'c</span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'c</span> <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>monoid_product ~f a b</code> passes all combinaisons of tuples from the two arrays <code>a</code> and <code>b</code> to the function <code>f</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 2.8</li></ul></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 class="label">f</span>:<span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span>)</span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> array</span></span></code></div><div class="spec-doc"><p><code>flat_map ~f a</code> transforms each element of <code>a</code> into an array, then flattens.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-except_idx"><a href="#val-except_idx" class="anchor"></a><code><span><span class="keyword">val</span> except_idx : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span>int <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'a</span> list</span></span></code></div><div class="spec-doc"><p><code>except_idx a i</code> removes the element of <code>a</code> at given index <code>i</code>, and returns the list of the other elements.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-random"><a href="#val-random" class="anchor"></a><code><span><span class="keyword">val</span> random : <span><span><span class="type-var">'a</span> <a href="#type-random_gen">random_gen</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <a href="#type-random_gen">random_gen</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-random_non_empty"><a href="#val-random_non_empty" class="anchor"></a><code><span><span class="keyword">val</span> random_non_empty : <span><span><span class="type-var">'a</span> <a href="#type-random_gen">random_gen</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <a href="#type-random_gen">random_gen</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-random_len"><a href="#val-random_len" class="anchor"></a><code><span><span class="keyword">val</span> random_len : <span>int <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-random_gen">random_gen</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <a href="#type-random_gen">random_gen</a></span></span></code></div></div><h3 id="generic-functions"><a href="#generic-functions" class="anchor"></a>Generic Functions</h3><div class="odoc-spec"><div class="spec module-type anchored" id="module-type-MONO_ARRAY"><a href="#module-type-MONO_ARRAY" class="anchor"></a><code><span><span class="keyword">module</span> <span class="keyword">type</span> <a href="module-type-MONO_ARRAY/index.html">MONO_ARRAY</a></span><span> = <span class="keyword">sig</span> ... <span class="keyword">end</span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-sort_generic"><a href="#val-sort_generic" class="anchor"></a><code><span><span class="keyword">val</span> sort_generic :
<span><span>(<span class="keyword">module</span> <a href="module-type-MONO_ARRAY/index.html">MONO_ARRAY</a> <span class="keyword">with</span> <span class="keyword">type</span> <a href="module-type-MONO_ARRAY/index.html#type-elt">elt</a> = <span class="type-var">'elt</span> <span class="keyword">and</span> <span class="keyword">type</span> <a href="module-type-MONO_ARRAY/index.html#type-t">t</a> = <span class="type-var">'arr</span>)</span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="label">cmp</span>:<span>(<span><span class="type-var">'elt</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'elt</span> <span class="arrow">&#45;&gt;</span></span> int)</span> <span class="arrow">&#45;&gt;</span></span>
<span><span class="type-var">'arr</span> <span class="arrow">&#45;&gt;</span></span>
unit</span></code></div><div class="spec-doc"><p><code>sort_generic (module M) ~cmp a</code> sorts the array <code>a</code>, without allocating (eats stack space though). Performance might be lower than <code>Array.sort</code>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.14</li></ul></div></div><h4 id="infix-operators"><a href="#infix-operators" class="anchor"></a>Infix Operators</h4><p>It is convenient to <code>open CCArray.Infix</code> to access the infix operators without cluttering the scope too much.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 2.7</li></ul><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-(&gt;&gt;=)"><a href="#val-(&gt;&gt;=)" class="anchor"></a><code><span><span class="keyword">val</span> (&gt;&gt;=) : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span>)</span> <span class="arrow">&#45;&gt;</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>a &gt;&gt;= f</code> is the infix version of <a href="#val-flat_map"><code>flat_map</code></a>.</p></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-(&gt;&gt;|)"><a href="#val-(&gt;&gt;|)" class="anchor"></a><code><span><span class="keyword">val</span> (&gt;&gt;|) : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'b</span>)</span> <span class="arrow">&#45;&gt;</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>a &gt;&gt;| f</code> is the infix version of <a href="#val-map"><code>map</code></a>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.8</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-(&gt;|=)"><a href="#val-(&gt;|=)" class="anchor"></a><code><span><span class="keyword">val</span> (&gt;|=) : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'b</span>)</span> <span class="arrow">&#45;&gt;</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>a &gt;|= f</code> is the infix version of <a href="#val-map"><code>map</code></a>.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.8</li></ul></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">&#45;&gt;</span></span> <span>int <span class="arrow">&#45;&gt;</span></span> <span>int <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>x -- y</code> creates an array containing integers in the range <code>x .. y</code>. Bounds included.</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">&#45;&gt;</span></span> <span>int <span class="arrow">&#45;&gt;</span></span> <span>int <a href="#type-t">t</a></span></span></code></div><div class="spec-doc"><p><code>x --^ y</code> creates an array containing integers in the range <code>x .. y</code>. Right bound excluded.</p><ul class="at-tags"><li class="since"><span class="at-tag">since</span> 0.17</li></ul></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-(let+)"><a href="#val-(let+)" class="anchor"></a><code><span><span class="keyword">val</span> (let+) : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span class="type-var">'b</span>)</span> <span class="arrow">&#45;&gt;</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-(and+)"><a href="#val-(and+)" class="anchor"></a><code><span><span class="keyword">val</span> (and+) : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span>(<span class="type-var">'a</span> * <span class="type-var">'b</span>)</span> <a href="#type-t">t</a></span></span></code></div></div><div class="odoc-spec"><div class="spec value anchored" id="val-(let*)"><a href="#val-(let*)" class="anchor"></a><code><span><span class="keyword">val</span> (let*) : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span>(<span><span class="type-var">'a</span> <span class="arrow">&#45;&gt;</span></span> <span><span class="type-var">'b</span> <a href="#type-t">t</a></span>)</span> <span class="arrow">&#45;&gt;</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-(and*)"><a href="#val-(and*)" class="anchor"></a><code><span><span class="keyword">val</span> (and*) : <span><span><span class="type-var">'a</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span><span class="type-var">'b</span> <a href="#type-t">t</a></span> <span class="arrow">&#45;&gt;</span></span> <span><span>(<span class="type-var">'a</span> * <span class="type-var">'b</span>)</span> <a href="#type-t">t</a></span></span></code></div></div></details></div></div></body></html>