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<title>src/Data/Sequence/Lens.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE Rank2Types #-}</span>
<a name="line-2"></a><span class='hs-comment'>{-# LANGUAGE FlexibleContexts #-}</span>
<a name="line-3"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-4"></a><span class='hs-comment'>-- |</span>
<a name="line-5"></a><span class='hs-comment'>-- Module : Data.Sequence.Lens</span>
<a name="line-6"></a><span class='hs-comment'>-- Copyright : (C) 2012-14 Edward Kmett</span>
<a name="line-7"></a><span class='hs-comment'>-- License : BSD-style (see the file LICENSE)</span>
<a name="line-8"></a><span class='hs-comment'>-- Maintainer : Edward Kmett <ekmett@gmail.com></span>
<a name="line-9"></a><span class='hs-comment'>-- Stability : experimental</span>
<a name="line-10"></a><span class='hs-comment'>-- Portability : non-portable</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-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Sequence</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span>
<a name="line-14"></a> <span class='hs-layout'>(</span> <span class='hs-varid'>viewL</span><span class='hs-layout'>,</span> <span class='hs-varid'>viewR</span>
<a name="line-15"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>sliced</span><span class='hs-layout'>,</span> <span class='hs-varid'>slicedTo</span><span class='hs-layout'>,</span> <span class='hs-varid'>slicedFrom</span>
<a name="line-16"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>seqOf</span>
<a name="line-17"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-18"></a>
<a name="line-19"></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-20"></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-21"></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-22"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Sequence</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Seq</span>
<a name="line-23"></a>
<a name="line-24"></a><span class='hs-comment'>-- $setup</span>
<a name="line-25"></a><span class='hs-comment'>-- >>> import Debug.SimpleReflect.Expr</span>
<a name="line-26"></a><span class='hs-comment'>-- >>> import Debug.SimpleReflect.Vars as Vars hiding (f,g)</span>
<a name="line-27"></a><span class='hs-comment'>-- >>> let f :: Expr -> Expr; f = Debug.SimpleReflect.Vars.f</span>
<a name="line-28"></a><span class='hs-comment'>-- >>> let g :: Expr -> Expr; g = Debug.SimpleReflect.Vars.g</span>
<a name="line-29"></a>
<a name="line-30"></a><span class='hs-comment'>-- * Sequence isomorphisms</span>
<a name="line-31"></a>
<a name="line-32"></a><a name="viewL"></a><span class='hs-comment'>-- | A 'Seq' is isomorphic to a 'ViewL'</span>
<a name="line-33"></a><span class='hs-comment'>--</span>
<a name="line-34"></a><span class='hs-comment'>-- @'viewl' m ≡ m '^.' 'viewL'@</span>
<a name="line-35"></a><span class='hs-comment'>--</span>
<a name="line-36"></a><span class='hs-comment'>-- >>> Seq.fromList [a,b,c] ^. viewL</span>
<a name="line-37"></a><span class='hs-comment'>-- a :< fromList [b,c]</span>
<a name="line-38"></a><span class='hs-comment'>--</span>
<a name="line-39"></a><span class='hs-comment'>-- >>> Seq.empty ^. viewL</span>
<a name="line-40"></a><span class='hs-comment'>-- EmptyL</span>
<a name="line-41"></a><span class='hs-comment'>--</span>
<a name="line-42"></a><span class='hs-comment'>-- >>> EmptyL ^. from viewL</span>
<a name="line-43"></a><span class='hs-comment'>-- fromList []</span>
<a name="line-44"></a><span class='hs-comment'>--</span>
<a name="line-45"></a><span class='hs-comment'>-- >>> review viewL $ a :< fromList [b,c]</span>
<a name="line-46"></a><span class='hs-comment'>-- fromList [a,b,c]</span>
<a name="line-47"></a><span class='hs-definition'>viewL</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Iso</span> <span class='hs-layout'>(</span><span class='hs-conid'>Seq</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Seq</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>ViewL</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>ViewL</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-48"></a><span class='hs-definition'>viewL</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iso</span> <span class='hs-varid'>viewl</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-varid'>xs</span> <span class='hs-keyword'>of</span>
<a name="line-49"></a> <span class='hs-conid'>EmptyL</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>mempty</span>
<a name="line-50"></a> <span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-keyword'>as</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-conid'>Seq</span><span class='hs-varop'>.<|</span> <span class='hs-keyword'>as</span>
<a name="line-51"></a><span class='hs-comment'>{-# INLINE viewL #-}</span>
<a name="line-52"></a>
<a name="line-53"></a><a name="viewR"></a><span class='hs-comment'>-- | A 'Seq' is isomorphic to a 'ViewR'</span>
<a name="line-54"></a><span class='hs-comment'>--</span>
<a name="line-55"></a><span class='hs-comment'>-- @'viewr' m ≡ m '^.' 'viewR'@</span>
<a name="line-56"></a><span class='hs-comment'>--</span>
<a name="line-57"></a><span class='hs-comment'>-- >>> Seq.fromList [a,b,c] ^. viewR</span>
<a name="line-58"></a><span class='hs-comment'>-- fromList [a,b] :> c</span>
<a name="line-59"></a><span class='hs-comment'>--</span>
<a name="line-60"></a><span class='hs-comment'>-- >>> Seq.empty ^. viewR</span>
<a name="line-61"></a><span class='hs-comment'>-- EmptyR</span>
<a name="line-62"></a><span class='hs-comment'>--</span>
<a name="line-63"></a><span class='hs-comment'>-- >>> EmptyR ^. from viewR</span>
<a name="line-64"></a><span class='hs-comment'>-- fromList []</span>
<a name="line-65"></a><span class='hs-comment'>--</span>
<a name="line-66"></a><span class='hs-comment'>-- >>> review viewR $ fromList [a,b] :> c</span>
<a name="line-67"></a><span class='hs-comment'>-- fromList [a,b,c]</span>
<a name="line-68"></a><span class='hs-definition'>viewR</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Iso</span> <span class='hs-layout'>(</span><span class='hs-conid'>Seq</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Seq</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>ViewR</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>ViewR</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-69"></a><span class='hs-definition'>viewR</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iso</span> <span class='hs-varid'>viewr</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-varid'>xs</span> <span class='hs-keyword'>of</span>
<a name="line-70"></a> <span class='hs-conid'>EmptyR</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>mempty</span>
<a name="line-71"></a> <span class='hs-keyword'>as</span> <span class='hs-conop'>:></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Seq</span><span class='hs-varop'>.|></span> <span class='hs-varid'>a</span>
<a name="line-72"></a><span class='hs-comment'>{-# INLINE viewR #-}</span>
<a name="line-73"></a>
<a name="line-74"></a><a name="slicedTo"></a><span class='hs-comment'>-- | Traverse the first @n@ elements of a 'Seq'</span>
<a name="line-75"></a><span class='hs-comment'>--</span>
<a name="line-76"></a><span class='hs-comment'>-- >>> fromList [a,b,c,d,e] ^.. slicedTo 2</span>
<a name="line-77"></a><span class='hs-comment'>-- [a,b]</span>
<a name="line-78"></a><span class='hs-comment'>--</span>
<a name="line-79"></a><span class='hs-comment'>-- >>> fromList [a,b,c,d,e] & slicedTo 2 %~ f</span>
<a name="line-80"></a><span class='hs-comment'>-- fromList [f a,f b,c,d,e]</span>
<a name="line-81"></a><span class='hs-comment'>--</span>
<a name="line-82"></a><span class='hs-comment'>-- >>> fromList [a,b,c,d,e] & slicedTo 10 .~ x</span>
<a name="line-83"></a><span class='hs-comment'>-- fromList [x,x,x,x,x]</span>
<a name="line-84"></a><span class='hs-definition'>slicedTo</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IndexedTraversal'</span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-conid'>Seq</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-85"></a><span class='hs-definition'>slicedTo</span> <span class='hs-varid'>n</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-conid'>Seq</span><span class='hs-varop'>.</span><span class='hs-varid'>splitAt</span> <span class='hs-varid'>n</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>of</span>
<a name="line-86"></a> <span class='hs-layout'>(</span><span class='hs-varid'>l</span><span class='hs-layout'>,</span><span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varop'>><</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>l</span>
<a name="line-87"></a><span class='hs-comment'>{-# INLINE slicedTo #-}</span>
<a name="line-88"></a>
<a name="line-89"></a><a name="slicedFrom"></a><span class='hs-comment'>-- | Traverse all but the first @n@ elements of a 'Seq'</span>
<a name="line-90"></a><span class='hs-comment'>--</span>
<a name="line-91"></a><span class='hs-comment'>-- >>> fromList [a,b,c,d,e] ^.. slicedFrom 2</span>
<a name="line-92"></a><span class='hs-comment'>-- [c,d,e]</span>
<a name="line-93"></a><span class='hs-comment'>--</span>
<a name="line-94"></a><span class='hs-comment'>-- >>> fromList [a,b,c,d,e] & slicedFrom 2 %~ f</span>
<a name="line-95"></a><span class='hs-comment'>-- fromList [a,b,f c,f d,f e]</span>
<a name="line-96"></a><span class='hs-comment'>--</span>
<a name="line-97"></a><span class='hs-comment'>-- >>> fromList [a,b,c,d,e] & slicedFrom 10 .~ x</span>
<a name="line-98"></a><span class='hs-comment'>-- fromList [a,b,c,d,e]</span>
<a name="line-99"></a><span class='hs-definition'>slicedFrom</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IndexedTraversal'</span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-conid'>Seq</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-100"></a><span class='hs-definition'>slicedFrom</span> <span class='hs-varid'>n</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-conid'>Seq</span><span class='hs-varop'>.</span><span class='hs-varid'>splitAt</span> <span class='hs-varid'>n</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>of</span>
<a name="line-101"></a> <span class='hs-layout'>(</span><span class='hs-varid'>l</span><span class='hs-layout'>,</span><span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>><</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-varop'>+</span><span class='hs-varid'>n</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span>
<a name="line-102"></a><span class='hs-comment'>{-# INLINE slicedFrom #-}</span>
<a name="line-103"></a>
<a name="line-104"></a><span class='hs-comment'>-- | Traverse all the elements numbered from @i@ to @j@ of a 'Seq'</span>
<a name="line-105"></a><span class='hs-comment'>--</span>
<a name="line-106"></a><span class='hs-comment'>-- >>> fromList [a,b,c,d,e] & sliced 1 3 %~ f</span>
<a name="line-107"></a><span class='hs-comment'>-- fromList [a,f b,f c,d,e]</span>
<a name="line-108"></a>
<a name="line-109"></a><a name="sliced"></a><span class='hs-comment'>-- >>> fromList [a,b,c,d,e] ^.. sliced 1 3</span>
<a name="line-110"></a><span class='hs-comment'>-- [f b,f c]</span>
<a name="line-111"></a><span class='hs-comment'>--</span>
<a name="line-112"></a><span class='hs-comment'>-- >>> fromList [a,b,c,d,e] & sliced 1 3 .~ x</span>
<a name="line-113"></a><span class='hs-comment'>-- fromList [a,x,x,b,e]</span>
<a name="line-114"></a><span class='hs-definition'>sliced</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IndexedTraversal'</span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-conid'>Seq</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-115"></a><span class='hs-definition'>sliced</span> <span class='hs-varid'>i</span> <span class='hs-varid'>j</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-conid'>Seq</span><span class='hs-varop'>.</span><span class='hs-varid'>splitAt</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span>
<a name="line-116"></a> <span class='hs-layout'>(</span><span class='hs-varid'>l</span><span class='hs-layout'>,</span><span class='hs-varid'>mr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-conid'>Seq</span><span class='hs-varop'>.</span><span class='hs-varid'>splitAt</span> <span class='hs-layout'>(</span><span class='hs-varid'>j</span><span class='hs-comment'>-</span><span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>mr</span> <span class='hs-keyword'>of</span>
<a name="line-117"></a> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</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-varid'>m</span> <span class='hs-varop'><&></span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>l</span> <span class='hs-varop'>><</span> <span class='hs-varid'>n</span> <span class='hs-varop'>><</span> <span class='hs-varid'>r</span>
<a name="line-118"></a><span class='hs-comment'>{-# INLINE sliced #-}</span>
<a name="line-119"></a>
<a name="line-120"></a><a name="seqOf"></a><span class='hs-comment'>-- | Construct a 'Seq' from a 'Getter', 'Control.Lens.Fold.Fold', 'Control.Lens.Traversal.Traversal', 'Control.Lens.Lens.Lens' or 'Control.Lens.Iso.Iso'.</span>
<a name="line-121"></a><span class='hs-comment'>--</span>
<a name="line-122"></a><span class='hs-comment'>-- >>> seqOf folded ["hello","world"]</span>
<a name="line-123"></a><span class='hs-comment'>-- fromList ["hello","world"]</span>
<a name="line-124"></a><span class='hs-comment'>--</span>
<a name="line-125"></a><span class='hs-comment'>-- >>> seqOf (folded._2) [("hello",1),("world",2),("!!!",3)]</span>
<a name="line-126"></a><span class='hs-comment'>-- fromList [1,2,3]</span>
<a name="line-127"></a><span class='hs-comment'>--</span>
<a name="line-128"></a><span class='hs-comment'>-- @</span>
<a name="line-129"></a><span class='hs-comment'>-- 'seqOf' :: 'Getter' s a -> s -> 'Seq' a</span>
<a name="line-130"></a><span class='hs-comment'>-- 'seqOf' :: 'Fold' s a -> s -> 'Seq' a</span>
<a name="line-131"></a><span class='hs-comment'>-- 'seqOf' :: 'Iso'' s a -> s -> 'Seq' a</span>
<a name="line-132"></a><span class='hs-comment'>-- 'seqOf' :: 'Lens'' s a -> s -> 'Seq' a</span>
<a name="line-133"></a><span class='hs-comment'>-- 'seqOf' :: 'Traversal'' s a -> s -> 'Seq' a</span>
<a name="line-134"></a><span class='hs-comment'>-- @</span>
<a name="line-135"></a><span class='hs-definition'>seqOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Getting</span> <span class='hs-layout'>(</span><span class='hs-conid'>Seq</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Seq</span> <span class='hs-varid'>a</span>
<a name="line-136"></a><span class='hs-definition'>seqOf</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>views</span> <span class='hs-varid'>l</span> <span class='hs-conid'>Seq</span><span class='hs-varop'>.</span><span class='hs-varid'>singleton</span>
<a name="line-137"></a><span class='hs-comment'>{-# INLINE seqOf #-}</span>
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