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<?xml version="1.0" encoding="UTF-8"?>
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<title>src/Data/Vector/Lens.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP #-}</span>
<a name="line-2"></a><span class='hs-comment'>{-# LANGUAGE Rank2Types #-}</span>
<a name="line-3"></a><span class='hs-comment'>{-# LANGUAGE FlexibleContexts #-}</span>
<a name="line-4"></a><span class='hs-comment'>{-# LANGUAGE MultiParamTypeClasses #-}</span>
<a name="line-5"></a><span class='hs-cpp'>#ifdef TRUSTWORTHY</span>
<a name="line-6"></a><span class='hs-comment'>{-# LANGUAGE Trustworthy #-}</span>
<a name="line-7"></a><span class='hs-cpp'>#endif</span>
<a name="line-8"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-9"></a><span class='hs-comment'>-- |</span>
<a name="line-10"></a><span class='hs-comment'>-- Module      :  Data.Vector.Lens</span>
<a name="line-11"></a><span class='hs-comment'>-- Copyright   :  (C) 2012-15 Edward Kmett</span>
<a name="line-12"></a><span class='hs-comment'>-- License     :  BSD-style (see the file LICENSE)</span>
<a name="line-13"></a><span class='hs-comment'>-- Maintainer  :  Edward Kmett &lt;ekmett@gmail.com&gt;</span>
<a name="line-14"></a><span class='hs-comment'>-- Stability   :  provisional</span>
<a name="line-15"></a><span class='hs-comment'>-- Portability :  non-portable</span>
<a name="line-16"></a><span class='hs-comment'>--</span>
<a name="line-17"></a><span class='hs-comment'>-- This module provides lenses and traversals for working with generic</span>
<a name="line-18"></a><span class='hs-comment'>-- vectors.</span>
<a name="line-19"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-20"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span>
<a name="line-21"></a>  <span class='hs-layout'>(</span> <span class='hs-varid'>toVectorOf</span>
<a name="line-22"></a>  <span class='hs-comment'>-- * Isomorphisms</span>
<a name="line-23"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>vector</span>
<a name="line-24"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>forced</span>
<a name="line-25"></a>  <span class='hs-comment'>-- * Lenses</span>
<a name="line-26"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>sliced</span>
<a name="line-27"></a>  <span class='hs-comment'>-- * Traversal of individual indices</span>
<a name="line-28"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ordinals</span>
<a name="line-29"></a>  <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-30"></a>
<a name="line-31"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-32"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span>
<a name="line-33"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span><span class='hs-varop'>.</span><span class='hs-conid'>List</span> <span class='hs-layout'>(</span><span class='hs-varid'>ordinalNub</span><span class='hs-layout'>)</span>
<a name="line-34"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-varid'>zip</span><span class='hs-layout'>,</span> <span class='hs-varid'>filter</span><span class='hs-layout'>,</span> <span class='hs-varid'>indexed</span><span class='hs-layout'>)</span>
<a name="line-35"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Prelude</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varop'>++</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>length</span><span class='hs-layout'>,</span> <span class='hs-varid'>null</span><span class='hs-layout'>,</span> <span class='hs-varid'>head</span><span class='hs-layout'>,</span> <span class='hs-varid'>tail</span><span class='hs-layout'>,</span> <span class='hs-varid'>init</span><span class='hs-layout'>,</span> <span class='hs-varid'>last</span><span class='hs-layout'>,</span> <span class='hs-varid'>map</span><span class='hs-layout'>,</span> <span class='hs-varid'>reverse</span><span class='hs-layout'>)</span>
<a name="line-36"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span>
<a name="line-37"></a>
<a name="line-38"></a><a name="sliced"></a><span class='hs-comment'>-- | @sliced i n@ provides a 'Lens' that edits the @n@ elements starting</span>
<a name="line-39"></a><span class='hs-comment'>-- at index @i@ from a 'Lens'.</span>
<a name="line-40"></a><span class='hs-comment'>--</span>
<a name="line-41"></a><span class='hs-comment'>-- This is only a valid 'Lens' if you do not change the length of the</span>
<a name="line-42"></a><span class='hs-comment'>-- resulting 'Vector'.</span>
<a name="line-43"></a><span class='hs-comment'>--</span>
<a name="line-44"></a><span class='hs-comment'>-- Attempting to return a longer or shorter vector will result in</span>
<a name="line-45"></a><span class='hs-comment'>-- violations of the 'Lens' laws.</span>
<a name="line-46"></a><span class='hs-comment'>--</span>
<a name="line-47"></a><span class='hs-comment'>-- &gt;&gt;&gt; Vector.fromList [1..10] ^. sliced 2 5 == Vector.fromList [3,4,5,6,7]</span>
<a name="line-48"></a><span class='hs-comment'>-- True</span>
<a name="line-49"></a><span class='hs-comment'>--</span>
<a name="line-50"></a><span class='hs-comment'>-- &gt;&gt;&gt; (Vector.fromList [1..10] &amp; sliced 2 5 . mapped .~ 0) == Vector.fromList [1,2,0,0,0,0,0,8,9,10]</span>
<a name="line-51"></a><span class='hs-comment'>-- True</span>
<a name="line-52"></a><span class='hs-definition'>sliced</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-comment'>-- ^ @i@ starting index</span>
<a name="line-53"></a>       <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Int</span> <span class='hs-comment'>-- ^ @n@ length</span>
<a name="line-54"></a>       <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Lens'</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-55"></a><span class='hs-definition'>sliced</span> <span class='hs-varid'>i</span> <span class='hs-varid'>n</span> <span class='hs-varid'>f</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>slice</span> <span class='hs-varid'>i</span> <span class='hs-varid'>n</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;&amp;&gt;</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>v0</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>v</span> <span class='hs-varop'>//</span> <span class='hs-varid'>zip</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>i</span><span class='hs-varop'>+</span><span class='hs-varid'>n</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-keyglyph'>]</span> <span class='hs-layout'>(</span><span class='hs-varid'>toList</span> <span class='hs-varid'>v0</span><span class='hs-layout'>)</span>
<a name="line-56"></a><span class='hs-comment'>{-# INLINE sliced #-}</span>
<a name="line-57"></a>
<a name="line-58"></a><a name="toVectorOf"></a><span class='hs-comment'>-- | Similar to 'toListOf', but returning a 'Vector'.</span>
<a name="line-59"></a><span class='hs-comment'>--</span>
<a name="line-60"></a><span class='hs-comment'>-- &gt;&gt;&gt; toVectorOf both (8,15) == Vector.fromList [8,15]</span>
<a name="line-61"></a><span class='hs-comment'>-- True</span>
<a name="line-62"></a><span class='hs-definition'>toVectorOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Getting</span> <span class='hs-layout'>(</span><span class='hs-conid'>Endo</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span>
<a name="line-63"></a><span class='hs-definition'>toVectorOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromList</span> <span class='hs-layout'>(</span><span class='hs-varid'>toListOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-64"></a><span class='hs-comment'>{-# INLINE toVectorOf #-}</span>
<a name="line-65"></a>
<a name="line-66"></a><a name="vector"></a><span class='hs-comment'>-- | Convert a list to a 'Vector' (or back)</span>
<a name="line-67"></a><span class='hs-comment'>--</span>
<a name="line-68"></a><span class='hs-comment'>-- &gt;&gt;&gt; [1,2,3] ^. vector == Vector.fromList [1,2,3]</span>
<a name="line-69"></a><span class='hs-comment'>-- True</span>
<a name="line-70"></a><span class='hs-comment'>--</span>
<a name="line-71"></a><span class='hs-comment'>-- &gt;&gt;&gt; [1,2,3] ^. vector . from vector</span>
<a name="line-72"></a><span class='hs-comment'>-- [1,2,3]</span>
<a name="line-73"></a><span class='hs-comment'>--</span>
<a name="line-74"></a><span class='hs-comment'>-- &gt;&gt;&gt; Vector.fromList [0,8,15] ^. from vector . vector == Vector.fromList [0,8,15]</span>
<a name="line-75"></a><span class='hs-comment'>-- True</span>
<a name="line-76"></a><span class='hs-definition'>vector</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Iso</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-77"></a><span class='hs-definition'>vector</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iso</span> <span class='hs-varid'>fromList</span> <span class='hs-varid'>toList</span>
<a name="line-78"></a><span class='hs-comment'>{-# INLINE vector #-}</span>
<a name="line-79"></a>
<a name="line-80"></a><a name="forced"></a><span class='hs-comment'>-- | Convert a 'Vector' to a version that doesn't retain any extra</span>
<a name="line-81"></a><span class='hs-comment'>-- memory.</span>
<a name="line-82"></a><span class='hs-definition'>forced</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Iso</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-83"></a><span class='hs-definition'>forced</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iso</span> <span class='hs-varid'>force</span> <span class='hs-varid'>force</span>
<a name="line-84"></a><span class='hs-comment'>{-# INLINE forced #-}</span>
<a name="line-85"></a>
<a name="line-86"></a><a name="ordinals"></a><span class='hs-comment'>-- | This 'Traversal' will ignore any duplicates in the supplied list</span>
<a name="line-87"></a><span class='hs-comment'>-- of indices.</span>
<a name="line-88"></a><span class='hs-comment'>--</span>
<a name="line-89"></a><span class='hs-comment'>-- &gt;&gt;&gt; toListOf (ordinals [1,3,2,5,9,10]) $ Vector.fromList [2,4..40]</span>
<a name="line-90"></a><span class='hs-comment'>-- [4,8,6,12,20,22]</span>
<a name="line-91"></a><span class='hs-definition'>ordinals</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedTraversal'</span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-92"></a><span class='hs-definition'>ordinals</span> <span class='hs-varid'>is</span> <span class='hs-varid'>f</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varop'>//</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>traverse</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>i</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varop'>!</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>ordinalNub</span> <span class='hs-layout'>(</span><span class='hs-varid'>length</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varid'>is</span>
<a name="line-93"></a><span class='hs-comment'>{-# INLINE ordinals #-}</span>
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