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<html xmlns="http://www.w3.org/1999/xhtml"><head><title>CCPersistentArray (containers.CCPersistentArray)</title><link rel="stylesheet" href="../../odoc.css"/><meta charset="utf-8"/><meta name="generator" content="odoc %%VERSION%%"/><meta name="viewport" content="width=device-width,initial-scale=1.0"/><script src="../../highlight.pack.js"></script><script>hljs.initHighlightingOnLoad();</script></head><body><div class="content"><header><nav><a href="../index.html">Up</a> <a href="../index.html">containers</a> &#x00BB; CCPersistentArray</nav><h1>Module <code>CCPersistentArray</code></h1><h2 id="persistent-arrays"><a href="#persistent-arrays" class="anchor"></a>Persistent Arrays</h2><p>From the paper by Jean-Christophe Filliâtre, &quot;A persistent Union-Find data structure&quot;, see <a href="https://www.lri.fr/~filliatr/ftp/publis/puf-wml07.ps">the ps version</a></p><dl><dt>since</dt><dd>0.10</dd></dl><nav class="toc"><ul><li><a href="#conversions">Conversions</a></li><li><a href="#io">IO</a></li></ul></nav></header><dl><dt class="spec type" id="type-t"><a href="#type-t" class="anchor"></a><code><span class="keyword">type</span> <span>'a t</span></code></dt><dd><p>The type of persistent arrays</p></dd></dl><dl><dt class="spec value" id="val-make"><a href="#val-make" class="anchor"></a><code><span class="keyword">val</span> make : int <span>&#45;&gt;</span> <span class="type-var">'a</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p><code>make n x</code> returns a persistent array of length n, with <code>x</code>. All the elements of this new array are initially physically equal to x (in the sense of the == predicate). Consequently, if x is mutable, it is shared among all elements of the array, and modifying x through one of the array entries will modify all other entries at the same time.</p><dl><dt>raises Invalid_argument</dt><dd><p>if <code>n &lt; 0</code> or <code>n &gt; Sys.max_array_length</code>. If the value of x is a floating-point number, then the maximum size is only <code>Sys.max_array_length / 2</code>.</p></dd></dl></dd></dl><dl><dt class="spec value" id="val-init"><a href="#val-init" class="anchor"></a><code><span class="keyword">val</span> init : int <span>&#45;&gt;</span> <span>(int <span>&#45;&gt;</span> <span class="type-var">'a</span>)</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p><code>init n f</code> returns a persistent array of length n, with element <code>i</code> initialized to the result of <code>f i</code>.</p><dl><dt>raises Invalid_argument</dt><dd><p>if <code>n &lt; 0</code> or <code>n &gt; Sys.max_array_length</code>. If the value of x is a floating-point number, then the maximum size is only <code>Sys.max_array_length / 2</code>.</p></dd></dl></dd></dl><dl><dt class="spec value" id="val-get"><a href="#val-get" class="anchor"></a><code><span class="keyword">val</span> get : <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> int <span>&#45;&gt;</span> <span class="type-var">'a</span></code></dt><dd><p><code>get a i</code> returns the element with index <code>i</code> from the array <code>a</code>.</p><dl><dt>raises Invalid_argument</dt><dd><p>&quot;index out of bounds&quot; if <code>n</code> is outside the range <code>0</code> to <code>Array.length a - 1</code>.</p></dd></dl></dd></dl><dl><dt class="spec value" id="val-set"><a href="#val-set" class="anchor"></a><code><span class="keyword">val</span> set : <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> int <span>&#45;&gt;</span> <span class="type-var">'a</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p><code>set a i v</code> sets the element index <code>i</code> from the array <code>a</code> to <code>v</code>.</p><dl><dt>raises Invalid_argument</dt><dd><p>&quot;index out of bounds&quot; if <code>n</code> is outside the range <code>0</code> to <code>Array.length a - 1</code>.</p></dd></dl></dd></dl><dl><dt class="spec value" id="val-length"><a href="#val-length" class="anchor"></a><code><span class="keyword">val</span> length : <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> int</code></dt><dd><p>Return the length of the persistent array.</p></dd></dl><dl><dt class="spec value" id="val-copy"><a href="#val-copy" class="anchor"></a><code><span class="keyword">val</span> copy : <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p><code>copy a</code> returns a fresh copy of <code>a</code>. Both copies are independent.</p></dd></dl><dl><dt class="spec value" id="val-map"><a href="#val-map" class="anchor"></a><code><span class="keyword">val</span> map : <span>(<span class="type-var">'a</span> <span>&#45;&gt;</span> <span class="type-var">'b</span>)</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'b</span> <a href="index.html#type-t">t</a></span></code></dt><dt class="spec value" id="val-mapi"><a href="#val-mapi" class="anchor"></a><code><span class="keyword">val</span> mapi : <span>(int <span>&#45;&gt;</span> <span class="type-var">'a</span> <span>&#45;&gt;</span> <span class="type-var">'b</span>)</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'b</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p>Apply the given function to all elements of the array, and return a persistent array initialized by the results of f. In the case of <code>mapi</code>, the function is also given the index of the element. It is equivalent to <code>fun f t -&gt; init (fun i -&gt; f (get t i))</code>.</p></dd></dl><dl><dt class="spec value" id="val-iter"><a href="#val-iter" class="anchor"></a><code><span class="keyword">val</span> iter : <span>(<span class="type-var">'a</span> <span>&#45;&gt;</span> unit)</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> unit</code></dt><dd><p><code>iter f t</code> applies function <code>f</code> to all elements of the persistent array, in order from element <code>0</code> to element <code>length t - 1</code>.</p></dd></dl><dl><dt class="spec value" id="val-iteri"><a href="#val-iteri" class="anchor"></a><code><span class="keyword">val</span> iteri : <span>(int <span>&#45;&gt;</span> <span class="type-var">'a</span> <span>&#45;&gt;</span> unit)</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> unit</code></dt><dd><p><code>iter f t</code> applies function <code>f</code> to all elements of the persistent array, in order from element <code>0</code> to element <code>length t - 1</code>.</p></dd></dl><dl><dt class="spec value" id="val-fold_left"><a href="#val-fold_left" class="anchor"></a><code><span class="keyword">val</span> fold_left : <span>(<span class="type-var">'a</span> <span>&#45;&gt;</span> <span class="type-var">'b</span> <span>&#45;&gt;</span> <span class="type-var">'a</span>)</span> <span>&#45;&gt;</span> <span class="type-var">'a</span> <span>&#45;&gt;</span> <span><span class="type-var">'b</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span class="type-var">'a</span></code></dt><dt class="spec value" id="val-fold_right"><a href="#val-fold_right" class="anchor"></a><code><span class="keyword">val</span> fold_right : <span>(<span class="type-var">'a</span> <span>&#45;&gt;</span> <span class="type-var">'b</span> <span>&#45;&gt;</span> <span class="type-var">'b</span>)</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span class="type-var">'b</span> <span>&#45;&gt;</span> <span class="type-var">'b</span></code></dt><dd><p>Fold on the elements of the array.</p></dd></dl><dl><dt class="spec value" id="val-append"><a href="#val-append" class="anchor"></a><code><span class="keyword">val</span> append : <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p>Append the two arrays.</p><dl><dt>since</dt><dd>0.13</dd></dl></dd></dl><dl><dt class="spec value" id="val-flatten"><a href="#val-flatten" class="anchor"></a><code><span class="keyword">val</span> flatten : <span><span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p>Concatenates all the sub-arrays.</p><dl><dt>since</dt><dd>0.13</dd></dl></dd></dl><dl><dt class="spec value" id="val-flat_map"><a href="#val-flat_map" class="anchor"></a><code><span class="keyword">val</span> flat_map : <span>(<span class="type-var">'a</span> <span>&#45;&gt;</span> <span><span class="type-var">'b</span> <a href="index.html#type-t">t</a></span>)</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'b</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p>Flat map (map + concatenation).</p><dl><dt>since</dt><dd>0.13</dd></dl></dd></dl><dl><dt class="spec value" id="val-to_array"><a href="#val-to_array" class="anchor"></a><code><span class="keyword">val</span> to_array : <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> array</span></code></dt><dd><p><code>to_array t</code> returns a mutable copy of <code>t</code>.</p></dd></dl><dl><dt class="spec value" id="val-of_array"><a href="#val-of_array" class="anchor"></a><code><span class="keyword">val</span> of_array : <span><span class="type-var">'a</span> array</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p><code>of_array a</code> returns an immutable copy of <code>a</code>.</p></dd></dl><dl><dt class="spec value" id="val-to_list"><a href="#val-to_list" class="anchor"></a><code><span class="keyword">val</span> to_list : <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> list</span></code></dt><dd><p><code>to_list t</code> returns the list of elements in <code>t</code>.</p></dd></dl><dl><dt class="spec value" id="val-of_list"><a href="#val-of_list" class="anchor"></a><code><span class="keyword">val</span> of_list : <span><span class="type-var">'a</span> list</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p><code>of_list l</code> returns a fresh persistent array containing the elements of <code>l</code>.</p></dd></dl><dl><dt class="spec value" id="val-of_rev_list"><a href="#val-of_rev_list" class="anchor"></a><code><span class="keyword">val</span> of_rev_list : <span><span class="type-var">'a</span> list</span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dd><p><code>of_rev_list l</code> is the same as <code>of_list (List.rev l)</code> but more efficient.</p><dl><dt>since</dt><dd>0.13</dd></dl></dd></dl><section><header><h3 id="conversions"><a href="#conversions" class="anchor"></a>Conversions</h3></header><dl><dt class="spec type" id="type-sequence"><a href="#type-sequence" class="anchor"></a><code><span class="keyword">type</span> <span>'a sequence</span></code><code> = <span>(<span class="type-var">'a</span> <span>&#45;&gt;</span> unit)</span> <span>&#45;&gt;</span> unit</code></dt><dt class="spec type" id="type-gen"><a href="#type-gen" class="anchor"></a><code><span class="keyword">type</span> <span>'a gen</span></code><code> = unit <span>&#45;&gt;</span> <span><span class="type-var">'a</span> option</span></code></dt></dl><dl><dt class="spec value" id="val-to_seq"><a href="#val-to_seq" class="anchor"></a><code><span class="keyword">val</span> to_seq : <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-sequence">sequence</a></span></code></dt><dt class="spec value" id="val-of_seq"><a href="#val-of_seq" class="anchor"></a><code><span class="keyword">val</span> of_seq : <span><span class="type-var">'a</span> <a href="index.html#type-sequence">sequence</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dt class="spec value" id="val-of_gen"><a href="#val-of_gen" class="anchor"></a><code><span class="keyword">val</span> of_gen : <span><span class="type-var">'a</span> <a href="index.html#type-gen">gen</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span></code></dt><dd><dl><dt>since</dt><dd>0.13</dd></dl></dd></dl><dl><dt class="spec value" id="val-to_gen"><a href="#val-to_gen" class="anchor"></a><code><span class="keyword">val</span> to_gen : <span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <span>&#45;&gt;</span> <span><span class="type-var">'a</span> <a href="index.html#type-gen">gen</a></span></code></dt><dd><dl><dt>since</dt><dd>0.13</dd></dl></dd></dl></section><section><header><h3 id="io"><a href="#io" class="anchor"></a>IO</h3></header><dl><dt class="spec type" id="type-printer"><a href="#type-printer" class="anchor"></a><code><span class="keyword">type</span> <span>'a printer</span></code><code> = Format.formatter <span>&#45;&gt;</span> <span class="type-var">'a</span> <span>&#45;&gt;</span> unit</code></dt></dl><dl><dt class="spec value" id="val-pp"><a href="#val-pp" class="anchor"></a><code><span class="keyword">val</span> pp : <span><span class="type-var">'a</span> <a href="index.html#type-printer">printer</a></span> <span>&#45;&gt;</span> <span><span><span class="type-var">'a</span> <a href="index.html#type-t">t</a></span> <a href="index.html#type-printer">printer</a></span></code></dt><dd><dl><dt>since</dt><dd>0.13</dd></dl></dd></dl></section></div></body></html>