{-# LANGUAGE CPP #-} {-# LANGUAGE Rank2Types #-} {-# LANGUAGE TypeFamilies #-} {-# LANGUAGE FlexibleContexts #-} {-# LANGUAGE LiberalTypeSynonyms #-} {-# LANGUAGE MultiParamTypeClasses #-} #ifdef TRUSTWORTHY {-# LANGUAGE Trustworthy #-} #endif ------------------------------------------------------------------------------- -- | -- Module : Data.Vector.Generic.Lens -- Copyright : (C) 2012 Edward Kmett -- License : BSD-style (see the file LICENSE) -- Maintainer : Edward Kmett -- Stability : provisional -- Portability : non-portable -- -- This module provides lenses and traversals for working with generic vectors. ------------------------------------------------------------------------------- module Data.Vector.Generic.Lens ( toVectorOf -- * Isomorphisms , forced , vector , asStream , asStreamR , cloned , reversed -- * Lenses , _head , _tail , _last , _init , sliced -- * Traversal of individual indices , ordinal , ordinals ) where import Control.Lens import Data.List (nub) import Data.Monoid import Data.Vector.Generic as V hiding (zip, filter, indexed) import Data.Vector.Fusion.Stream (Stream) import Data.Vector.Generic.New (New) import Prelude hiding ((++), length, head, tail, init, last, map, reverse) -- $setup -- >>> import Data.Vector as Vector -- | A lens reading and writing to the 'head' of a /non-empty/ 'Vector' -- -- Attempting to read or write to the 'head' of an /empty/ 'Vector' will result in an 'error'. -- -- >>> Vector.fromList [1,2,3]^._head -- 1 _head :: Vector v a => SimpleLens (v a) a _head f v = f (head v) <&> \a -> v // [(0,a)] {-# INLINE _head #-} -- | A 'Lens' reading and writing to the 'last' element of a /non-empty/ 'Vector' -- -- Attempting to read or write to the 'last' element of an /empty/ 'Vector' will result in an 'error'. -- -- >>> Vector.fromList [1,2]^._last -- 2 _last :: Vector v a => SimpleLens (v a) a _last f v = f (last v) <&> \a -> v // [(length v - 1, a)] {-# INLINE _last #-} -- | A lens reading and writing to the 'tail' of a /non-empty/ 'Vector' -- -- Attempting to read or write to the 'tail' of an /empty/ 'Vector' will result in an 'error'. -- -- >>> _tail .~ Vector.fromList [3,4,5] $ Vector.fromList [1,2] -- fromList [1,3,4,5] _tail :: Vector v a => SimpleLens (v a) (v a) _tail f v = f (tail v) <&> cons (head v) {-# INLINE _tail #-} -- | A 'Lens' reading and replacing all but the a 'last' element of a /non-empty/ 'Vector' -- -- Attempting to read or write to all but the 'last' element of an /empty/ 'Vector' will result in an 'error'. -- -- >>> Vector.fromList [1,2,3,4]^._init -- fromList [1,2,3] _init :: Vector v a => SimpleLens (v a) (v a) _init f v = f (init v) <&> \i -> snoc i (last v) {-# INLINE _init #-} -- | @sliced i n@ provides a lens that edits the @n@ elements starting at index @i@ from a lens. -- -- This is only a valid lens if you do not change the length of the resulting 'Vector'. -- -- Attempting to return a longer or shorter vector will result in violations of the 'Lens' laws. sliced :: Vector v a => Int -- ^ @i@ starting index -> Int -- ^ @n@ length -> SimpleLens (v a) (v a) sliced i n f v = f (slice i n v) <&> \ v0 -> v // zip [i..i+n-1] (V.toList v0) {-# INLINE sliced #-} -- | Similar to 'toListOf', but returning a 'Vector'. toVectorOf :: Vector v a => Getting (Endo [a]) s t a b -> s -> v a toVectorOf l s = fromList (toListOf l s) {-# INLINE toVectorOf #-} -- | Convert a list to a 'Vector' (or back) vector :: Vector v a => Simple Iso [a] (v a) vector = iso fromList V.toList {-# INLINE vector #-} -- | Convert a 'Vector' to a finite 'Stream' (or back) asStream :: Vector v a => Simple Iso (v a) (Stream a) asStream = iso stream unstream {-# INLINE asStream #-} -- | Convert a 'Vector' to a finite 'Stream' from right to left (or back) asStreamR :: Vector v a => Simple Iso (v a) (Stream a) asStreamR = iso streamR unstreamR {-# INLINE asStreamR #-} -- | Convert a 'Vector' back and forth to an initializer that when run produces a copy of the 'Vector'. cloned :: Vector v a => Simple Iso (v a) (New v a) cloned = iso clone new {-# INLINE cloned #-} -- | Convert a 'Vector' to a version that doesn't retain any extra memory. forced :: Vector v a => Simple Iso (v a) (v a) forced = iso force force {-# INLINE forced #-} -- | Convert a 'Vector' to a version with all the elements in the reverse order reversed :: Vector v a => Simple Iso (v a) (v a) reversed = iso reverse reverse {-# INLINE reversed #-} -- | This is a more efficient version of 'element' that works for any 'Vector'. -- -- @ordinal n@ is only a valid 'Lens' into a 'Vector' with 'length' at least @n + 1@. ordinal :: Vector v a => Int -> SimpleIndexedLens Int (v a) a ordinal i = indexed $ \ f v -> f i (v ! i) <&> \ a -> v // [(i, a)] {-# INLINE ordinal #-} -- | This 'Traversal' will ignore any duplicates in the supplied list of indices. -- -- >>> toListOf (ordinals [1,3,2,5,9,10]) $ Vector.fromList [2,4..40] -- [4,8,6,12,20,22] ordinals :: Vector v a => [Int] -> SimpleIndexedTraversal Int (v a) a ordinals is = indexed $ \ f v -> let l = length v is' = nub $ filter (