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<?xml version="1.0" encoding="UTF-8"?>
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<title>src/Data/Vector/Generic/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-cpp'>#ifdef TRUSTWORTHY</span>
<a name="line-5"></a><span class='hs-comment'>{-# LANGUAGE Trustworthy #-}</span>
<a name="line-6"></a><span class='hs-cpp'>#endif</span>
<a name="line-7"></a>
<a name="line-8"></a><span class='hs-cpp'>#ifndef MIN_VERSION_vector</span>
<a name="line-9"></a><span class='hs-cpp'>#define MIN_VERSION_vector(x,y,z) 1</span>
<a name="line-10"></a><span class='hs-cpp'>#endif</span>
<a name="line-11"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-12"></a><span class='hs-comment'>-- |</span>
<a name="line-13"></a><span class='hs-comment'>-- Module      :  Data.Vector.Generic.Lens</span>
<a name="line-14"></a><span class='hs-comment'>-- Copyright   :  (C) 2012-2016 Edward Kmett</span>
<a name="line-15"></a><span class='hs-comment'>-- License     :  BSD-style (see the file LICENSE)</span>
<a name="line-16"></a><span class='hs-comment'>-- Maintainer  :  Edward Kmett &lt;ekmett@gmail.com&gt;</span>
<a name="line-17"></a><span class='hs-comment'>-- Stability   :  provisional</span>
<a name="line-18"></a><span class='hs-comment'>-- Portability :  non-portable</span>
<a name="line-19"></a><span class='hs-comment'>--</span>
<a name="line-20"></a><span class='hs-comment'>-- This module provides lenses and traversals for working with generic</span>
<a name="line-21"></a><span class='hs-comment'>-- vectors.</span>
<a name="line-22"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-23"></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'>Generic</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span>
<a name="line-24"></a>  <span class='hs-layout'>(</span> <span class='hs-varid'>toVectorOf</span>
<a name="line-25"></a>  <span class='hs-comment'>-- * Isomorphisms</span>
<a name="line-26"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>forced</span>
<a name="line-27"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>vector</span>
<a name="line-28"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>asStream</span>
<a name="line-29"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>asStreamR</span>
<a name="line-30"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>cloned</span>
<a name="line-31"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>converted</span>
<a name="line-32"></a>  <span class='hs-comment'>-- * Lenses</span>
<a name="line-33"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>sliced</span>
<a name="line-34"></a>  <span class='hs-comment'>-- * Traversal of individual indices</span>
<a name="line-35"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ordinals</span>
<a name="line-36"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>vectorIx</span>
<a name="line-37"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>vectorTraverse</span>
<a name="line-38"></a>  <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-39"></a>
<a name="line-40"></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-41"></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'>Type</span>
<a name="line-42"></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'>Lens</span>
<a name="line-43"></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'>Getter</span>
<a name="line-44"></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'>Fold</span>
<a name="line-45"></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'>Iso</span>
<a name="line-46"></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'>Indexed</span>
<a name="line-47"></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'>Setter</span>
<a name="line-48"></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'>Traversal</span>
<a name="line-49"></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-50"></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-51"></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-varop'>.</span><span class='hs-conid'>Generic</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>V</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-52"></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-varop'>.</span><span class='hs-conid'>Generic</span><span class='hs-varop'>.</span><span class='hs-conid'>New</span> <span class='hs-layout'>(</span><span class='hs-conid'>New</span><span class='hs-layout'>)</span>
<a name="line-53"></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-54"></a>
<a name="line-55"></a><span class='hs-cpp'>#if MIN_VERSION_vector(0,11,0)</span>
<a name="line-56"></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-varop'>.</span><span class='hs-conid'>Fusion</span><span class='hs-varop'>.</span><span class='hs-conid'>Bundle</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bundle</span><span class='hs-layout'>)</span>
<a name="line-57"></a><span class='hs-cpp'>#else</span>
<a name="line-58"></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-varop'>.</span><span class='hs-conid'>Fusion</span><span class='hs-varop'>.</span><span class='hs-conid'>Stream</span> <span class='hs-layout'>(</span><span class='hs-conid'>Stream</span><span class='hs-layout'>)</span>
<a name="line-59"></a><span class='hs-cpp'>#endif</span>
<a name="line-60"></a>
<a name="line-61"></a><span class='hs-comment'>-- $setup</span>
<a name="line-62"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Data.Vector as Vector</span>
<a name="line-63"></a>
<a name="line-64"></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-65"></a><span class='hs-comment'>-- at index @i@ from a 'Lens'.</span>
<a name="line-66"></a><span class='hs-comment'>--</span>
<a name="line-67"></a><span class='hs-comment'>-- This is only a valid 'Lens' if you do not change the length of the</span>
<a name="line-68"></a><span class='hs-comment'>-- resulting 'Vector'.</span>
<a name="line-69"></a><span class='hs-comment'>--</span>
<a name="line-70"></a><span class='hs-comment'>-- Attempting to return a longer or shorter vector will result in</span>
<a name="line-71"></a><span class='hs-comment'>-- violations of the 'Lens' laws.</span>
<a name="line-72"></a><span class='hs-comment'>--</span>
<a name="line-73"></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-74"></a><span class='hs-comment'>-- True</span>
<a name="line-75"></a><span class='hs-comment'>--</span>
<a name="line-76"></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-77"></a><span class='hs-comment'>-- True</span>
<a name="line-78"></a><span class='hs-definition'>sliced</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span>
<a name="line-79"></a>       <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Int</span> <span class='hs-comment'>-- ^ @i@ starting index</span>
<a name="line-80"></a>       <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Int</span> <span class='hs-comment'>-- ^ @n@ length</span>
<a name="line-81"></a>       <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Lens'</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-82"></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-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>toList</span> <span class='hs-varid'>v0</span><span class='hs-layout'>)</span>
<a name="line-83"></a><span class='hs-comment'>{-# INLINE sliced #-}</span>
<a name="line-84"></a>
<a name="line-85"></a><a name="toVectorOf"></a><span class='hs-comment'>-- | Similar to 'toListOf', but returning a 'Vector'.</span>
<a name="line-86"></a><span class='hs-comment'>--</span>
<a name="line-87"></a><span class='hs-comment'>-- &gt;&gt;&gt; (toVectorOf both (8,15) :: Vector.Vector Int) == Vector.fromList [8,15]</span>
<a name="line-88"></a><span class='hs-comment'>-- True</span>
<a name="line-89"></a><span class='hs-definition'>toVectorOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</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-varid'>v</span> <span class='hs-varid'>a</span>
<a name="line-90"></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-91"></a><span class='hs-comment'>{-# INLINE toVectorOf #-}</span>
<a name="line-92"></a>
<a name="line-93"></a><a name="vector"></a><span class='hs-comment'>-- | Convert a list to a 'Vector' (or back.)</span>
<a name="line-94"></a><span class='hs-comment'>--</span>
<a name="line-95"></a><span class='hs-comment'>-- &gt;&gt;&gt; ([1,2,3] ^. vector :: Vector.Vector Int) == Vector.fromList [1,2,3]</span>
<a name="line-96"></a><span class='hs-comment'>-- True</span>
<a name="line-97"></a><span class='hs-comment'>--</span>
<a name="line-98"></a><span class='hs-comment'>-- &gt;&gt;&gt; Vector.fromList [0,8,15] ^. from vector</span>
<a name="line-99"></a><span class='hs-comment'>-- [0,8,15]</span>
<a name="line-100"></a><span class='hs-definition'>vector</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</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-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-101"></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-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>toList</span>
<a name="line-102"></a><span class='hs-comment'>{-# INLINE vector #-}</span>
<a name="line-103"></a>
<a name="line-104"></a><span class='hs-cpp'>#if MIN_VERSION_vector(0,11,0)</span>
<a name="line-105"></a><a name="asStream"></a><span class='hs-comment'>-- | Convert a 'Vector' to a finite 'Bundle' (or back.)</span>
<a name="line-106"></a><span class='hs-definition'>asStream</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Iso</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bundle</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bundle</span> <span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-107"></a><span class='hs-cpp'>#else</span>
<a name="line-108"></a><span class='hs-comment'>-- | Convert a 'Vector' to a finite 'Stream' (or back.)</span>
<a name="line-109"></a><span class='hs-definition'>asStream</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Iso</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Stream</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Stream</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-110"></a><span class='hs-cpp'>#endif</span>
<a name="line-111"></a><span class='hs-definition'>asStream</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iso</span> <span class='hs-varid'>stream</span> <span class='hs-varid'>unstream</span>
<a name="line-112"></a><span class='hs-comment'>{-# INLINE asStream #-}</span>
<a name="line-113"></a>
<a name="line-114"></a><span class='hs-cpp'>#if MIN_VERSION_vector(0,11,0)</span>
<a name="line-115"></a><a name="asStreamR"></a><span class='hs-comment'>-- | Convert a 'Vector' to a finite 'Bundle' from right to left (or</span>
<a name="line-116"></a><span class='hs-comment'>-- back.)</span>
<a name="line-117"></a><span class='hs-definition'>asStreamR</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Iso</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bundle</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bundle</span> <span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-118"></a><span class='hs-cpp'>#else</span>
<a name="line-119"></a><span class='hs-comment'>-- | Convert a 'Vector' to a finite 'Stream' from right to left (or</span>
<a name="line-120"></a><span class='hs-comment'>-- back.)</span>
<a name="line-121"></a><span class='hs-definition'>asStreamR</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Iso</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Stream</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Stream</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-122"></a><span class='hs-cpp'>#endif</span>
<a name="line-123"></a><span class='hs-definition'>asStreamR</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iso</span> <span class='hs-varid'>streamR</span> <span class='hs-varid'>unstreamR</span>
<a name="line-124"></a><span class='hs-comment'>{-# INLINE asStreamR #-}</span>
<a name="line-125"></a>
<a name="line-126"></a><a name="cloned"></a><span class='hs-comment'>-- | Convert a 'Vector' back and forth to an initializer that when run</span>
<a name="line-127"></a><span class='hs-comment'>-- produces a copy of the 'Vector'.</span>
<a name="line-128"></a><span class='hs-definition'>cloned</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Iso'</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>New</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-129"></a><span class='hs-definition'>cloned</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iso</span> <span class='hs-varid'>clone</span> <span class='hs-varid'>new</span>
<a name="line-130"></a><span class='hs-comment'>{-# INLINE cloned #-}</span>
<a name="line-131"></a>
<a name="line-132"></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-133"></a><span class='hs-comment'>-- memory.</span>
<a name="line-134"></a><span class='hs-definition'>forced</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Iso'</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-135"></a><span class='hs-definition'>forced</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>involuted</span> <span class='hs-varid'>force</span>
<a name="line-136"></a><span class='hs-comment'>{-# INLINE forced #-}</span>
<a name="line-137"></a>
<a name="line-138"></a><a name="ordinals"></a><span class='hs-comment'>-- | This 'Traversal' will ignore any duplicates in the supplied list</span>
<a name="line-139"></a><span class='hs-comment'>-- of indices.</span>
<a name="line-140"></a><span class='hs-comment'>--</span>
<a name="line-141"></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-142"></a><span class='hs-comment'>-- [4,8,6,12,20,22]</span>
<a name="line-143"></a><span class='hs-definition'>ordinals</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</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-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-144"></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-145"></a><span class='hs-comment'>{-# INLINE ordinals #-}</span>
<a name="line-146"></a>
<a name="line-147"></a><a name="vectorIx"></a><span class='hs-comment'>-- | Like 'ix' but polymorphic in the vector type.</span>
<a name="line-148"></a><span class='hs-definition'>vectorIx</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Traversal'</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-149"></a><span class='hs-definition'>vectorIx</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-varid'>v</span>
<a name="line-150"></a>  <span class='hs-keyglyph'>|</span> <span class='hs-num'>0</span> <span class='hs-varop'>&lt;=</span> <span class='hs-varid'>i</span> <span class='hs-varop'>&amp;&amp;</span> <span class='hs-varid'>i</span> <span class='hs-varop'>&lt;</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>length</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'>v</span> <span class='hs-conid'>V</span><span class='hs-varop'>.!</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;&amp;&gt;</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>v</span> <span class='hs-conid'>V</span><span class='hs-varop'>.//</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-151"></a>  <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span>                <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pure</span> <span class='hs-varid'>v</span>
<a name="line-152"></a><span class='hs-comment'>{-# INLINE vectorIx #-}</span>
<a name="line-153"></a>
<a name="line-154"></a><a name="vectorTraverse"></a><span class='hs-comment'>-- | Indexed vector traversal for a generic vector.</span>
<a name="line-155"></a><span class='hs-definition'>vectorTraverse</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>w</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</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-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-156"></a><span class='hs-definition'>vectorTraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>fromListN</span> <span class='hs-layout'>(</span><span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>length</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>traversed</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>toList</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span>
<a name="line-157"></a><span class='hs-comment'>{-# INLINE [0] vectorTraverse #-}</span>
<a name="line-158"></a>
<a name="line-159"></a><span class='hs-comment'>{-# RULES
<a name="line-160"></a>"vectorTraverse -&gt; mapped" vectorTraverse  = sets V.map         :: (V.Vector v a, V.Vector v b) =&gt; ASetter (v a) (v b) a b;
<a name="line-161"></a>"vectorTraverse -&gt; imapped" vectorTraverse = isets V.imap       :: (V.Vector v a, V.Vector v b) =&gt; AnIndexedSetter Int (v a) (v b) a b;
<a name="line-162"></a>"vectorTraverse -&gt; foldr"  vectorTraverse  = foldring V.foldr   :: V.Vector v a =&gt; Getting (Endo r) (v a) a;
<a name="line-163"></a>"vectorTraverse -&gt; ifoldr" vectorTraverse  = ifoldring V.ifoldr :: V.Vector v a =&gt; IndexedGetting Int (Endo r) (v a) a;
<a name="line-164"></a> #-}</span>
<a name="line-165"></a>
<a name="line-166"></a><a name="converted"></a><span class='hs-comment'>-- | Different vector implementations are isomorphic to each other.</span>
<a name="line-167"></a><span class='hs-definition'>converted</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>w</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Iso</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-168"></a><span class='hs-definition'>converted</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iso</span> <span class='hs-varid'>convert</span> <span class='hs-varid'>convert</span>
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