Lens.hs

{-# LANGUAGE CPP #-}
{-# LANGUAGE Rank2Types #-}
{-# LANGUAGE FlexibleContexts #-}
#ifdef TRUSTWORTHY
{-# LANGUAGE Trustworthy #-}
#endif

#ifndef MIN_VERSION_vector
#define MIN_VERSION_vector(x,y,z) 1
#endif
-------------------------------------------------------------------------------
-- |
-- Module      :  Data.Vector.Generic.Lens
-- Copyright   :  (C) 2012-2015 Edward Kmett
-- License     :  BSD-style (see the file LICENSE)
-- Maintainer  :  Edward Kmett <ekmett@gmail.com>
-- 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
  , converted
  -- * Lenses
  , sliced
  -- * Traversal of individual indices
  , ordinals
  , vectorIx
  , vectorTraverse
  ) where

import Control.Applicative
import Control.Lens.Type
import Control.Lens.Lens
import Control.Lens.Getter
import Control.Lens.Fold
import Control.Lens.Iso
import Control.Lens.Indexed
import Control.Lens.Setter
import Control.Lens.Traversal
import Control.Lens.Internal.List (ordinalNub)
import Data.Monoid
import Data.Vector.Generic as V hiding (zip, filter, indexed)
import Data.Vector.Generic.New (New)
import Prelude hiding ((++), length, null, head, tail, init, last, map, reverse)

#if MIN_VERSION_vector(0,11,0)
import Data.Vector.Fusion.Bundle (Bundle)
#else
import Data.Vector.Fusion.Stream (Stream)
#endif

-- $setup
-- >>> import Data.Vector as Vector

-- | @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.
--
-- >>> Vector.fromList [1..10] ^. sliced 2 5 == Vector.fromList [3,4,5,6,7]
-- True
--
-- >>> (Vector.fromList [1..10] & sliced 2 5 . mapped .~ 0) == Vector.fromList [1,2,0,0,0,0,0,8,9,10]
-- True
sliced :: Vector v a
       => Int -- ^ @i@ starting index
       -> Int -- ^ @n@ length
       -> Lens' (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 both (8,15) :: Vector.Vector Int) == Vector.fromList [8,15]
-- True
toVectorOf :: Vector v a => Getting (Endo [a]) s a -> s -> v a
toVectorOf l s = fromList (toListOf l s)
{-# INLINE toVectorOf #-}

-- | Convert a list to a 'Vector' (or back.)
--
-- >>> ([1,2,3] ^. vector :: Vector.Vector Int) == Vector.fromList [1,2,3]
-- True
--
-- >>> Vector.fromList [0,8,15] ^. from vector
-- [0,8,15]
vector :: (Vector v a, Vector v b) => Iso [a] [b] (v a) (v b)
vector = iso fromList V.toList
{-# INLINE vector #-}

#if MIN_VERSION_vector(0,11,0)
-- | Convert a 'Vector' to a finite 'Bundle' (or back.)
asStream :: (Vector v a, Vector v b) => Iso (v a) (v b) (Bundle v a) (Bundle v b)
#else
-- | Convert a 'Vector' to a finite 'Stream' (or back.)
asStream :: (Vector v a, Vector v b) => Iso (v a) (v b) (Stream a) (Stream b)
#endif
asStream = iso stream unstream
{-# INLINE asStream #-}

#if MIN_VERSION_vector(0,11,0)
-- | Convert a 'Vector' to a finite 'Bundle' from right to left (or
-- back.)
asStreamR :: (Vector v a, Vector v b) => Iso (v a) (v b) (Bundle v a) (Bundle v b)
#else
-- | Convert a 'Vector' to a finite 'Stream' from right to left (or
-- back.)
asStreamR :: (Vector v a, Vector v b) => Iso (v a) (v b) (Stream a) (Stream b)
#endif
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 => 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 => Iso' (v a) (v a)
forced = involuted force
{-# INLINE forced #-}

-- | 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] -> IndexedTraversal' Int (v a) a
ordinals is f v = fmap (v //) $ traverse (\i -> (,) i <$> indexed f i (v ! i)) $ ordinalNub (length v) is
{-# INLINE ordinals #-}

-- | Like 'ix' but polymorphic in the vector type.
vectorIx :: V.Vector v a => Int -> Traversal' (v a) a
vectorIx i f v
  | 0 <= i && i < V.length v = f (v V.! i) <&> \a -> v V.// [(i, a)]
  | otherwise                = pure v
{-# INLINE vectorIx #-}

-- | Indexed vector traversal for a generic vector.
vectorTraverse :: (V.Vector v a, V.Vector w b) => IndexedTraversal Int (v a) (w b) a b
vectorTraverse f v = V.fromListN (V.length v) <$> traversed f (V.toList v)
{-# INLINE [0] vectorTraverse #-}

{-# RULES
"vectorTraverse -> mapped" vectorTraverse  = sets V.map         :: (V.Vector v a, V.Vector v b) => ASetter (v a) (v b) a b;
"vectorTraverse -> imapped" vectorTraverse = isets V.imap       :: (V.Vector v a, V.Vector v b) => AnIndexedSetter Int (v a) (v b) a b;
"vectorTraverse -> foldr"  vectorTraverse  = foldring V.foldr   :: V.Vector v a => Getting (Endo r) (v a) a;
"vectorTraverse -> ifoldr" vectorTraverse  = ifoldring V.ifoldr :: V.Vector v a => IndexedGetting Int (Endo r) (v a) a;
 #-}

-- | Different vector implementations are isomorphic to each other.
converted :: (Vector v a, Vector w a, Vector v b, Vector w b) => Iso (v a) (v b) (w a) (w b)
converted = iso convert convert