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Control-Lens-Indexed.html
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Control-Lens-Indexed.html
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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html>
<head>
<!-- Generated by HsColour, http://code.haskell.org/~malcolm/hscolour/ -->
<title>src/Control/Lens/Indexed.hs</title>
<link type='text/css' rel='stylesheet' href='hscolour.css' />
</head>
<body>
<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE Rank2Types #-}</span>
<a name="line-2"></a><span class='hs-comment'>{-# LANGUAGE MultiParamTypeClasses #-}</span>
<a name="line-3"></a><span class='hs-comment'>{-# LANGUAGE FlexibleInstances #-}</span>
<a name="line-4"></a><span class='hs-comment'>{-# LANGUAGE TypeFamilies #-}</span>
<a name="line-5"></a><span class='hs-comment'>{-# LANGUAGE FlexibleContexts #-}</span>
<a name="line-6"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-7"></a><span class='hs-comment'>-- |</span>
<a name="line-8"></a><span class='hs-comment'>-- Module : Control.Lens.Indexed</span>
<a name="line-9"></a><span class='hs-comment'>-- Copyright : (C) 2012 Edward Kmett</span>
<a name="line-10"></a><span class='hs-comment'>-- License : BSD-style (see the file LICENSE)</span>
<a name="line-11"></a><span class='hs-comment'>-- Maintainer : Edward Kmett <ekmett@gmail.com></span>
<a name="line-12"></a><span class='hs-comment'>-- Stability : provisional</span>
<a name="line-13"></a><span class='hs-comment'>-- Portability : rank 2 types, MPTCs, TFs, flexible</span>
<a name="line-14"></a><span class='hs-comment'>--</span>
<a name="line-15"></a><span class='hs-comment'>-- Combinators for working with 'Indexed' functions.</span>
<a name="line-16"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-17"></a><span class='hs-keyword'>module</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-18"></a> <span class='hs-layout'>(</span>
<a name="line-19"></a> <span class='hs-comment'>-- * Indexed Functions</span>
<a name="line-20"></a> <span class='hs-conid'>Indexed</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-21"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Indexable</span>
<a name="line-22"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Index</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-23"></a> <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-layout'>(</span><span class='hs-varop'><.</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>.></span><span class='hs-layout'>)</span>
<a name="line-24"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>icompose</span>
<a name="line-25"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>reindex</span>
<a name="line-26"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>indexed</span>
<a name="line-27"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-28"></a>
<a name="line-29"></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>
<a name="line-30"></a>
<a name="line-31"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>9</span> <span class='hs-varop'><.></span><span class='hs-layout'>,</span> <span class='hs-varop'><.</span><span class='hs-layout'>,</span> <span class='hs-varop'>.></span>
<a name="line-32"></a>
<a name="line-33"></a><span class='hs-comment'>-- | Permit overloading of function application for things that also admit a notion of a key or index.</span>
<a name="line-34"></a>
<a name="line-35"></a><a name="Indexed"></a><span class='hs-comment'>-- | Provides overloading for 'Indexed' functions.</span>
<a name="line-36"></a><a name="Indexed"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>k</span> <span class='hs-keyword'>where</span>
<a name="line-37"></a> <span class='hs-comment'>-- | Build a function from an 'Indexed' function</span>
<a name="line-38"></a> <span class='hs-varid'>index</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-39"></a>
<a name="line-40"></a><a name="Indexable"></a><span class='hs-comment'>-- | Type alias for passing around polymorphic 'Indexed' functions that can be called 'withIndex' or</span>
<a name="line-41"></a><a name="Indexable"></a><span class='hs-comment'>-- directly as a function</span>
<a name="line-42"></a><a name="Indexable"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Indexable</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>k</span><span class='hs-varop'>.</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-43"></a>
<a name="line-44"></a><a name="instance%20Indexed%20i%20(-%3e)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-></span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-45"></a> <span class='hs-varid'>index</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>const</span>
<a name="line-46"></a> <span class='hs-comment'>{-# INLINE index #-}</span>
<a name="line-47"></a>
<a name="line-48"></a><a name="Index"></a><span class='hs-comment'>-- | A function with access to a index. This constructor may be useful when you need to store</span>
<a name="line-49"></a><a name="Index"></a><span class='hs-comment'>-- a 'Indexable' in a container to avoid @ImpredicativeTypes@.</span>
<a name="line-50"></a><a name="Index"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>Index</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Index</span> <span class='hs-layout'>{</span> <span class='hs-varid'>withIndex</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-layout'>}</span>
<a name="line-51"></a>
<a name="line-52"></a><a name="instance%20Indexed%20i%20(Index%20j)"></a><span class='hs-comment'>-- | Using an equality witness to avoid potential overlapping instances</span>
<a name="line-53"></a><a name="instance%20Indexed%20i%20(Index%20j)"></a><span class='hs-comment'>-- and aid dispatch.</span>
<a name="line-54"></a><a name="instance%20Indexed%20i%20(Index%20j)"></a><span class='hs-keyword'>instance</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>~</span> <span class='hs-varid'>j</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Index</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-55"></a> <span class='hs-varid'>index</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Index</span>
<a name="line-56"></a> <span class='hs-comment'>{-# INLINE index #-}</span>
<a name="line-57"></a>
<a name="line-58"></a><a name="%3c."></a><span class='hs-comment'>-- | Compose an 'Indexed' function with a non-indexed function.</span>
<a name="line-59"></a><span class='hs-comment'>--</span>
<a name="line-60"></a><span class='hs-comment'>-- Mnemonically, the @<@ points to the index we want to preserve.</span>
<a name="line-61"></a><span class='hs-layout'>(</span><span class='hs-varop'><.</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Index</span> <span class='hs-varid'>i</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span>
<a name="line-62"></a><span class='hs-conid'>Index</span> <span class='hs-varid'>ibc</span> <span class='hs-varop'><.</span> <span class='hs-varid'>ab</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>index</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>ia</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>ibc</span> <span class='hs-layout'>(</span><span class='hs-varid'>ab</span> <span class='hs-varop'>.</span> <span class='hs-varid'>ia</span><span class='hs-layout'>)</span>
<a name="line-63"></a><span class='hs-comment'>{-# INLINE (<.) #-}</span>
<a name="line-64"></a>
<a name="line-65"></a><a name=".%3e"></a><span class='hs-comment'>-- | Compose a non-indexed function with an 'Indexed' function.</span>
<a name="line-66"></a><span class='hs-comment'>--</span>
<a name="line-67"></a><span class='hs-comment'>-- Mnemonically, the @>@ points to the index we want to preserve.</span>
<a name="line-68"></a><span class='hs-layout'>(</span><span class='hs-varop'>.></span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Index</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span>
<a name="line-69"></a><a name="bc"></a><span class='hs-definition'>bc</span> <span class='hs-varop'>.></span> <span class='hs-conid'>Index</span> <span class='hs-varid'>iab</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>index</span> <span class='hs-layout'>(</span><span class='hs-varid'>bc</span> <span class='hs-varop'>.</span> <span class='hs-varid'>iab</span><span class='hs-layout'>)</span>
<a name="line-70"></a><span class='hs-comment'>{-# INLINE (.>) #-}</span>
<a name="line-71"></a>
<a name="line-72"></a><a name="reindex"></a><span class='hs-comment'>-- | Remap the index.</span>
<a name="line-73"></a><span class='hs-definition'>reindex</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>j</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Index</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-74"></a><span class='hs-definition'>reindex</span> <span class='hs-varid'>ij</span> <span class='hs-layout'>(</span><span class='hs-conid'>Index</span> <span class='hs-varid'>iab</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>index</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>ja</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>iab</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>ja</span> <span class='hs-layout'>(</span><span class='hs-varid'>ij</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span>
<a name="line-75"></a><span class='hs-comment'>{-# INLINE reindex #-}</span>
<a name="line-76"></a>
<a name="line-77"></a><a name="%3c.%3e"></a><span class='hs-comment'>-- | Composition of 'Indexed' functions</span>
<a name="line-78"></a><span class='hs-comment'>--</span>
<a name="line-79"></a><span class='hs-comment'>-- Mnemonically, the @<@ and @>@ points to the fact that we want to preserve the indices.</span>
<a name="line-80"></a><span class='hs-layout'>(</span><span class='hs-varop'><.></span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexed</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Index</span> <span class='hs-varid'>i</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Index</span> <span class='hs-varid'>j</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span>
<a name="line-81"></a><a name="f"></a><span class='hs-definition'>f</span> <span class='hs-varop'><.></span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>icompose</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span>
<a name="line-82"></a><span class='hs-comment'>{-# INLINE (<.>) #-}</span>
<a name="line-83"></a>
<a name="line-84"></a><a name="icompose"></a><span class='hs-comment'>-- | Composition of 'Indexed' functions with a user supplied function for combining indexs</span>
<a name="line-85"></a><span class='hs-definition'>icompose</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>k</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>j</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Index</span> <span class='hs-varid'>i</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Index</span> <span class='hs-varid'>j</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>r</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span>
<a name="line-86"></a><span class='hs-definition'>icompose</span> <span class='hs-varid'>ijk</span> <span class='hs-layout'>(</span><span class='hs-conid'>Index</span> <span class='hs-varid'>ibc</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Index</span> <span class='hs-varid'>jab</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>index</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>ka</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>ibc</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>jab</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>j</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>ka</span> <span class='hs-layout'>(</span><span class='hs-varid'>ijk</span> <span class='hs-varid'>i</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span>
<a name="line-87"></a><span class='hs-comment'>{-# INLINE icompose #-}</span>
<a name="line-88"></a>
<a name="line-89"></a><a name="indexed"></a><span class='hs-comment'>-- | Transform an Traversal into an IndexedTraversal, a Fold into an IndexedFold, etc.</span>
<a name="line-90"></a><span class='hs-comment'>--</span>
<a name="line-91"></a><span class='hs-comment'>-- @</span>
<a name="line-92"></a><span class='hs-comment'>-- 'indexed' :: 'Control.Lens.Traversal.Traversal' a b c d -> 'Control.Lens.IndexedTraversal.IndexedTraversal' 'Int' a b c d</span>
<a name="line-93"></a><span class='hs-comment'>-- 'indexed' :: 'Control.Lens.Type.Lens' a b c d -> 'Control.Lens.IndexedLens.IndexedLens' 'Int' a b c d</span>
<a name="line-94"></a><span class='hs-comment'>-- 'indexed' :: 'Control.Lens.Fold.Fold' a b -> 'Control.Lens.IndexedFold.IndexedFold' 'Int' a b</span>
<a name="line-95"></a><span class='hs-comment'>-- 'indexed' :: 'Control.Lens.Iso.Iso' a b c d -> 'Control.Lens.IndexedLens.IndexedLens' 'Int' a b c d</span>
<a name="line-96"></a><span class='hs-comment'>-- 'indexed' :: 'Control.Lens.Getter.Getter' a b -> 'Control.Lens.IndexedGetter.IndexedGetter' 'Int' a b c d</span>
<a name="line-97"></a><span class='hs-comment'>-- @</span>
<a name="line-98"></a><span class='hs-definition'>indexed</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexed</span> <span class='hs-conid'>Int</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Indexing</span> <span class='hs-varid'>f</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Indexing</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-99"></a><span class='hs-definition'>indexed</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>index</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>icfd</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-varid'>runIndexing</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Indexing</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IndexingResult</span> <span class='hs-layout'>(</span><span class='hs-varid'>icfd</span> <span class='hs-varid'>i</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-varop'>+</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-num'>0</span> <span class='hs-keyword'>of</span>
<a name="line-100"></a> <span class='hs-conid'>IndexingResult</span> <span class='hs-varid'>r</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>r</span>
<a name="line-101"></a><span class='hs-comment'>{-# INLINE indexed #-}</span>
</pre></body>
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