{-# LANGUAGE CPP #-}
{-# LANGUAGE DeriveDataTypeable #-}
{-# LANGUAGE DeriveGeneric #-}
{-# LANGUAGE DeriveTraversable #-}
{-# LANGUAGE DerivingStrategies #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeFamilies #-}

-- | Adapted from [Linear.V4](https://hackage.haskell.org/package/linear-1.21.8/docs/Linear-V4.html)
module Nonlinear.V4 where

import Control.Applicative
import Data.Data (Data, Typeable)
import Data.Functor ((<&>))
import Data.Functor.Classes
import Foreign (Storable (..))
import Foreign.Ptr (castPtr)
import GHC.Generics (Generic, Generic1)
import Nonlinear.Internal (Lens')
import Nonlinear.V1 (R1 (..))
import Nonlinear.V2 (R2 (..), V2 (..))
import Nonlinear.V3 (R3 (..), V3 (..))
import Nonlinear.Vector (Vec (..))

#if MIN_VERSION_base(4,14,0)
import GHC.Ix (Ix (..))
#else
import Data.Ix (Ix (..))
#endif

-- TODO field accessors are nice, but the derived show instance is not.
-- Either we drop the accessors, or we manually write the Show instance.
-- Note that Show1 is already hand-rolled
data V4 a = V4 {V4 a -> a
v4x :: !a, V4 a -> a
v4y :: !a, V4 a -> a
v4z :: !a, V4 a -> a
v4w :: !a}
  deriving stock (V4 a -> V4 a -> Bool
(V4 a -> V4 a -> Bool) -> (V4 a -> V4 a -> Bool) -> Eq (V4 a)
forall a. Eq a => V4 a -> V4 a -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
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V4 a -> String
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forall a. Show a => [V4 a] -> ShowS
forall a. Show a => V4 a -> String
forall a.
(Int -> a -> ShowS) -> (a -> String) -> ([a] -> ShowS) -> Show a
showList :: [V4 a] -> ShowS
$cshowList :: forall a. Show a => [V4 a] -> ShowS
show :: V4 a -> String
$cshow :: forall a. Show a => V4 a -> String
showsPrec :: Int -> V4 a -> ShowS
$cshowsPrec :: forall a. Show a => Int -> V4 a -> ShowS
Show, ReadPrec [V4 a]
ReadPrec (V4 a)
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forall a.
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readPrec :: ReadPrec (V4 a)
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readList :: ReadS [V4 a]
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readsPrec :: Int -> ReadS (V4 a)
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V4 a -> V4 a -> Bounded (V4 a)
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forall a. Bounded a => V4 a
maxBound :: V4 a
$cmaxBound :: forall a. Bounded a => V4 a
minBound :: V4 a
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min :: V4 a -> V4 a -> V4 a
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max :: V4 a -> V4 a -> V4 a
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product :: V4 a -> a
$cproduct :: forall a. Num a => V4 a -> a
sum :: V4 a -> a
$csum :: forall a. Num a => V4 a -> a
minimum :: V4 a -> a
$cminimum :: forall a. Ord a => V4 a -> a
maximum :: V4 a -> a
$cmaximum :: forall a. Ord a => V4 a -> a
elem :: a -> V4 a -> Bool
$celem :: forall a. Eq a => a -> V4 a -> Bool
length :: V4 a -> Int
$clength :: forall a. V4 a -> Int
null :: V4 a -> Bool
$cnull :: forall a. V4 a -> Bool
toList :: V4 a -> [a]
$ctoList :: forall a. V4 a -> [a]
foldl1 :: (a -> a -> a) -> V4 a -> a
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foldr1 :: (a -> a -> a) -> V4 a -> a
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foldl' :: (b -> a -> b) -> b -> V4 a -> b
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foldl :: (b -> a -> b) -> b -> V4 a -> b
$cfoldl :: forall b a. (b -> a -> b) -> b -> V4 a -> b
foldr' :: (a -> b -> b) -> b -> V4 a -> b
$cfoldr' :: forall a b. (a -> b -> b) -> b -> V4 a -> b
foldr :: (a -> b -> b) -> b -> V4 a -> b
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    (a -> m b) -> t a -> m (t b))
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forall (m :: * -> *) a. Monad m => V4 (m a) -> m (V4 a)
forall (f :: * -> *) a. Applicative f => V4 (f a) -> f (V4 a)
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(a -> f b) -> V4 a -> f (V4 b)
sequence :: V4 (m a) -> m (V4 a)
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mapM :: (a -> m b) -> V4 a -> m (V4 b)
$cmapM :: forall (m :: * -> *) a b. Monad m => (a -> m b) -> V4 a -> m (V4 b)
sequenceA :: V4 (f a) -> f (V4 a)
$csequenceA :: forall (f :: * -> *) a. Applicative f => V4 (f a) -> f (V4 a)
traverse :: (a -> f b) -> V4 a -> f (V4 b)
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(a -> f b) -> V4 a -> f (V4 b)
$cp2Traversable :: Foldable V4
$cp1Traversable :: Functor V4
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DataType
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gmapQ :: (forall d. Data d => d -> u) -> V4 a -> [u]
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(r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V4 a -> r
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gmapT :: (forall b. Data b => b -> b) -> V4 a -> V4 a
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dataTypeOf :: V4 a -> DataType
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toConstr :: V4 a -> Constr
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(forall b r. Data b => c (b -> r) -> c r)
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(forall d b. Data d => c (d -> b) -> d -> c b)
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Data, Typeable)

instance Vec V4 where
  construct :: ((forall b. Lens' (V4 b) b) -> a) -> V4 a
construct (forall b. Lens' (V4 b) b) -> a
f = a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 ((forall b. Lens' (V4 b) b) -> a
f forall b. Lens' (V4 b) b
forall (t :: * -> *) a. R1 t => Lens' (t a) a
_x) ((forall b. Lens' (V4 b) b) -> a
f forall b. Lens' (V4 b) b
forall (t :: * -> *) a. R2 t => Lens' (t a) a
_y) ((forall b. Lens' (V4 b) b) -> a
f forall b. Lens' (V4 b) b
forall (t :: * -> *) a. R3 t => Lens' (t a) a
_z) ((forall b. Lens' (V4 b) b) -> a
f forall b. Lens' (V4 b) b
forall (t :: * -> *) a. R4 t => Lens' (t a) a
_w)

instance Applicative V4 where
  {-# INLINE pure #-}
  pure :: a -> V4 a
pure a
a = a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
a a
a a
a
  {-# INLINE (<*>) #-}
  V4 a -> b
fx a -> b
fy a -> b
fz a -> b
fw <*> :: V4 (a -> b) -> V4 a -> V4 b
<*> V4 a
x a
y a
z a
w = b -> b -> b -> b -> V4 b
forall a. a -> a -> a -> a -> V4 a
V4 (a -> b
fx a
x) (a -> b
fy a
y) (a -> b
fz a
z) (a -> b
fw a
w)

instance Monad V4 where
  {-# INLINE (>>=) #-}
  V4 a
x a
y a
z a
w >>= :: V4 a -> (a -> V4 b) -> V4 b
>>= a -> V4 b
f = b -> b -> b -> b -> V4 b
forall a. a -> a -> a -> a -> V4 a
V4 (V4 b -> b
forall a. V4 a -> a
v4x (V4 b -> b) -> V4 b -> b
forall a b. (a -> b) -> a -> b
$ a -> V4 b
f a
x) (V4 b -> b
forall a. V4 a -> a
v4y (V4 b -> b) -> V4 b -> b
forall a b. (a -> b) -> a -> b
$ a -> V4 b
f a
y) (V4 b -> b
forall a. V4 a -> a
v4z (V4 b -> b) -> V4 b -> b
forall a b. (a -> b) -> a -> b
$ a -> V4 b
f a
z) (V4 b -> b
forall a. V4 a -> a
v4w (V4 b -> b) -> V4 b -> b
forall a b. (a -> b) -> a -> b
$ a -> V4 b
f a
w)

instance Semigroup x => Semigroup (V4 x) where V4 x
x x
y x
z x
w <> :: V4 x -> V4 x -> V4 x
<> V4 x
x' x
y' x
z' x
w' = x -> x -> x -> x -> V4 x
forall a. a -> a -> a -> a -> V4 a
V4 (x
x x -> x -> x
forall a. Semigroup a => a -> a -> a
<> x
x') (x
y x -> x -> x
forall a. Semigroup a => a -> a -> a
<> x
y') (x
z x -> x -> x
forall a. Semigroup a => a -> a -> a
<> x
z') (x
w x -> x -> x
forall a. Semigroup a => a -> a -> a
<> x
w')

instance Monoid a => Monoid (V4 a) where mempty :: V4 a
mempty = a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
forall a. Monoid a => a
mempty a
forall a. Monoid a => a
mempty a
forall a. Monoid a => a
mempty a
forall a. Monoid a => a
mempty

instance Num a => Num (V4 a) where
  + :: V4 a -> V4 a -> V4 a
(+) = (a -> a -> a) -> V4 a -> V4 a -> V4 a
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 a -> a -> a
forall a. Num a => a -> a -> a
(+)
  {-# INLINE (+) #-}
  (-) = (a -> a -> a) -> V4 a -> V4 a -> V4 a
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 (-)
  {-# INLINE (-) #-}
  * :: V4 a -> V4 a -> V4 a
(*) = (a -> a -> a) -> V4 a -> V4 a -> V4 a
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 a -> a -> a
forall a. Num a => a -> a -> a
(*)
  {-# INLINE (*) #-}
  negate :: V4 a -> V4 a
negate = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Num a => a -> a
negate
  {-# INLINE negate #-}
  abs :: V4 a -> V4 a
abs = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Num a => a -> a
abs
  {-# INLINE abs #-}
  signum :: V4 a -> V4 a
signum = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Num a => a -> a
signum
  {-# INLINE signum #-}
  fromInteger :: Integer -> V4 a
fromInteger = a -> V4 a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (a -> V4 a) -> (Integer -> a) -> Integer -> V4 a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Integer -> a
forall a. Num a => Integer -> a
fromInteger
  {-# INLINE fromInteger #-}

instance Fractional a => Fractional (V4 a) where
  recip :: V4 a -> V4 a
recip = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Fractional a => a -> a
recip
  {-# INLINE recip #-}
  / :: V4 a -> V4 a -> V4 a
(/) = (a -> a -> a) -> V4 a -> V4 a -> V4 a
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 a -> a -> a
forall a. Fractional a => a -> a -> a
(/)
  {-# INLINE (/) #-}
  fromRational :: Rational -> V4 a
fromRational = a -> V4 a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (a -> V4 a) -> (Rational -> a) -> Rational -> V4 a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Rational -> a
forall a. Fractional a => Rational -> a
fromRational
  {-# INLINE fromRational #-}

instance Floating a => Floating (V4 a) where
  pi :: V4 a
pi = a -> V4 a
forall (f :: * -> *) a. Applicative f => a -> f a
pure a
forall a. Floating a => a
pi
  {-# INLINE pi #-}
  exp :: V4 a -> V4 a
exp = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
exp
  {-# INLINE exp #-}
  sqrt :: V4 a -> V4 a
sqrt = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
sqrt
  {-# INLINE sqrt #-}
  log :: V4 a -> V4 a
log = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
log
  {-# INLINE log #-}
  ** :: V4 a -> V4 a -> V4 a
(**) = (a -> a -> a) -> V4 a -> V4 a -> V4 a
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 a -> a -> a
forall a. Floating a => a -> a -> a
(**)
  {-# INLINE (**) #-}
  logBase :: V4 a -> V4 a -> V4 a
logBase = (a -> a -> a) -> V4 a -> V4 a -> V4 a
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 a -> a -> a
forall a. Floating a => a -> a -> a
logBase
  {-# INLINE logBase #-}
  sin :: V4 a -> V4 a
sin = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
sin
  {-# INLINE sin #-}
  tan :: V4 a -> V4 a
tan = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
tan
  {-# INLINE tan #-}
  cos :: V4 a -> V4 a
cos = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
cos
  {-# INLINE cos #-}
  asin :: V4 a -> V4 a
asin = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
asin
  {-# INLINE asin #-}
  atan :: V4 a -> V4 a
atan = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
atan
  {-# INLINE atan #-}
  acos :: V4 a -> V4 a
acos = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
acos
  {-# INLINE acos #-}
  sinh :: V4 a -> V4 a
sinh = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
sinh
  {-# INLINE sinh #-}
  tanh :: V4 a -> V4 a
tanh = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
tanh
  {-# INLINE tanh #-}
  cosh :: V4 a -> V4 a
cosh = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
cosh
  {-# INLINE cosh #-}
  asinh :: V4 a -> V4 a
asinh = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
asinh
  {-# INLINE asinh #-}
  atanh :: V4 a -> V4 a
atanh = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
atanh
  {-# INLINE atanh #-}
  acosh :: V4 a -> V4 a
acosh = (a -> a) -> V4 a -> V4 a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
forall a. Floating a => a -> a
acosh
  {-# INLINE acosh #-}

instance Eq1 V4 where
  liftEq :: (a -> b -> Bool) -> V4 a -> V4 b -> Bool
liftEq a -> b -> Bool
k (V4 a
a a
b a
c a
d) (V4 b
e b
f b
g b
h) = a -> b -> Bool
k a
a b
e Bool -> Bool -> Bool
&& a -> b -> Bool
k a
b b
f Bool -> Bool -> Bool
&& a -> b -> Bool
k a
c b
g Bool -> Bool -> Bool
&& a -> b -> Bool
k a
d b
h

instance Ord1 V4 where
  liftCompare :: (a -> b -> Ordering) -> V4 a -> V4 b -> Ordering
liftCompare a -> b -> Ordering
k (V4 a
a a
b a
c a
d) (V4 b
e b
f b
g b
h) = a -> b -> Ordering
k a
a b
e Ordering -> Ordering -> Ordering
forall a. Semigroup a => a -> a -> a
<> a -> b -> Ordering
k a
b b
f Ordering -> Ordering -> Ordering
forall a. Semigroup a => a -> a -> a
<> a -> b -> Ordering
k a
c b
g Ordering -> Ordering -> Ordering
forall a. Semigroup a => a -> a -> a
<> a -> b -> Ordering
k a
d b
h

instance Read1 V4 where
  liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V4 a)
liftReadsPrec Int -> ReadS a
k ReadS [a]
_ Int
z = Bool -> ReadS (V4 a) -> ReadS (V4 a)
forall a. Bool -> ReadS a -> ReadS a
readParen (Int
z Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
10) (ReadS (V4 a) -> ReadS (V4 a)) -> ReadS (V4 a) -> ReadS (V4 a)
forall a b. (a -> b) -> a -> b
$ \String
r ->
    [ (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b a
c a
d, String
r5)
      | (String
"V4", String
r1) <- ReadS String
lex String
r,
        (a
a, String
r2) <- Int -> ReadS a
k Int
11 String
r1,
        (a
b, String
r3) <- Int -> ReadS a
k Int
11 String
r2,
        (a
c, String
r4) <- Int -> ReadS a
k Int
11 String
r3,
        (a
d, String
r5) <- Int -> ReadS a
k Int
11 String
r4
    ]

instance Show1 V4 where
  liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V4 a -> ShowS
liftShowsPrec Int -> a -> ShowS
f [a] -> ShowS
_ Int
z (V4 a
a a
b a
c a
d) =
    Bool -> ShowS -> ShowS
showParen (Int
z Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
10) (ShowS -> ShowS) -> ShowS -> ShowS
forall a b. (a -> b) -> a -> b
$
      String -> ShowS
showString String
"V4 " ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
f Int
11 a
a ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
' ' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
f Int
11 a
b ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
' ' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
f Int
11 a
c ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
' ' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
f Int
11 a
d

class R3 t => R4 t where
  _w :: Lens' (t a) a
  _xyzw :: Lens' (t a) (V4 a)

instance R1 V4 where
  {-# INLINE _x #-}
  _x :: (a -> m a) -> V4 a -> m (V4 a)
_x a -> m a
f (V4 a
x a
y a
z a
w) = (\a
x' -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
x' a
y a
z a
w) (a -> V4 a) -> m a -> m (V4 a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> a -> m a
f a
x

instance R2 V4 where
  {-# INLINE _y #-}
  _y :: (a -> m a) -> V4 a -> m (V4 a)
_y a -> m a
f (V4 a
x a
y a
z a
w) = (\a
y' -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
x a
y' a
z a
w) (a -> V4 a) -> m a -> m (V4 a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> a -> m a
f a
y
  {-# INLINE _xy #-}
  _xy :: (V2 a -> m (V2 a)) -> V4 a -> m (V4 a)
_xy V2 a -> m (V2 a)
f (V4 a
x a
y a
z a
w) = (\(V2 a
x' a
y') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
x' a
y' a
z a
w) (V2 a -> V4 a) -> m (V2 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> V2 a -> m (V2 a)
f (a -> a -> V2 a
forall a. a -> a -> V2 a
V2 a
x a
y)

instance R3 V4 where
  {-# INLINE _z #-}
  _z :: (a -> m a) -> V4 a -> m (V4 a)
_z a -> m a
f (V4 a
x a
y a
z a
w) = (\a
z' -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
x a
y a
z' a
w) (a -> V4 a) -> m a -> m (V4 a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> a -> m a
f a
z
  {-# INLINE _xyz #-}
  _xyz :: (V3 a -> m (V3 a)) -> V4 a -> m (V4 a)
_xyz V3 a -> m (V3 a)
f (V4 a
x a
y a
z a
w) = (\(V3 a
x' a
y' a
z') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
x' a
y' a
z' a
w) (V3 a -> V4 a) -> m (V3 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
x a
y a
z)

instance R4 V4 where
  {-# INLINE _w #-}
  _w :: (a -> m a) -> V4 a -> m (V4 a)
_w a -> m a
f (V4 a
x a
y a
z a
w) = a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
x a
y a
z (a -> V4 a) -> m a -> m (V4 a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> a -> m a
f a
w
  {-# INLINE _xyzw #-}
  _xyzw :: (V4 a -> m (V4 a)) -> V4 a -> m (V4 a)
_xyzw = (V4 a -> m (V4 a)) -> V4 a -> m (V4 a)
forall a. a -> a
id

_xw, _yw, _zw, _wx, _wy, _wz :: R4 t => Lens' (t a) (V2 a)
_xw :: Lens' (t a) (V2 a)
_xw V2 a -> m (V2 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V2 a -> m (V2 a)
f (a -> a -> V2 a
forall a. a -> a -> V2 a
V2 a
a a
d) m (V2 a) -> (V2 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V2 a
a' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b a
c a
d'
{-# INLINE _xw #-}
_yw :: Lens' (t a) (V2 a)
_yw V2 a -> m (V2 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V2 a -> m (V2 a)
f (a -> a -> V2 a
forall a. a -> a -> V2 a
V2 a
b a
d) m (V2 a) -> (V2 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V2 a
b' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b' a
c a
d'
{-# INLINE _yw #-}
_zw :: Lens' (t a) (V2 a)
_zw V2 a -> m (V2 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V2 a -> m (V2 a)
f (a -> a -> V2 a
forall a. a -> a -> V2 a
V2 a
c a
d) m (V2 a) -> (V2 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V2 a
c' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b a
c' a
d'
{-# INLINE _zw #-}
_wx :: Lens' (t a) (V2 a)
_wx V2 a -> m (V2 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V2 a -> m (V2 a)
f (a -> a -> V2 a
forall a. a -> a -> V2 a
V2 a
d a
a) m (V2 a) -> (V2 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V2 a
d' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b a
c a
d'
{-# INLINE _wx #-}
_wy :: Lens' (t a) (V2 a)
_wy V2 a -> m (V2 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V2 a -> m (V2 a)
f (a -> a -> V2 a
forall a. a -> a -> V2 a
V2 a
d a
b) m (V2 a) -> (V2 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V2 a
d' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b' a
c a
d'
{-# INLINE _wy #-}
_wz :: Lens' (t a) (V2 a)
_wz V2 a -> m (V2 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V2 a -> m (V2 a)
f (a -> a -> V2 a
forall a. a -> a -> V2 a
V2 a
d a
c) m (V2 a) -> (V2 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V2 a
d' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b a
c' a
d'
{-# INLINE _wz #-}

_xyw, _xzw, _xwy, _xwz, _yxw, _yzw, _ywx, _ywz, _zxw, _zyw, _zwx, _zwy, _wxy, _wxz, _wyx, _wyz, _wzx, _wzy :: R4 t => Lens' (t a) (V3 a)
_xyw :: Lens' (t a) (V3 a)
_xyw V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
a a
b a
d) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
a' a
b' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c a
d'
{-# INLINE _xyw #-}
_xzw :: Lens' (t a) (V3 a)
_xzw V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
a a
c a
d) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
a' a
c' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b a
c' a
d'
{-# INLINE _xzw #-}
_xwy :: Lens' (t a) (V3 a)
_xwy V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
a a
d a
b) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
a' a
d' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c a
d'
{-# INLINE _xwy #-}
_xwz :: Lens' (t a) (V3 a)
_xwz V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
a a
d a
c) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
a' a
d' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b a
c' a
d'
{-# INLINE _xwz #-}
_yxw :: Lens' (t a) (V3 a)
_yxw V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
b a
a a
d) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
b' a
a' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c a
d'
{-# INLINE _yxw #-}
_yzw :: Lens' (t a) (V3 a)
_yzw V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
b a
c a
d) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
b' a
c' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b' a
c' a
d'
{-# INLINE _yzw #-}
_ywx :: Lens' (t a) (V3 a)
_ywx V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
b a
d a
a) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
b' a
d' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c a
d'
{-# INLINE _ywx #-}
_ywz :: Lens' (t a) (V3 a)
_ywz V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
b a
d a
c) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
b' a
d' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b' a
c' a
d'
{-# INLINE _ywz #-}
_zxw :: Lens' (t a) (V3 a)
_zxw V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
c a
a a
d) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
c' a
a' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b a
c' a
d'
{-# INLINE _zxw #-}
_zyw :: Lens' (t a) (V3 a)
_zyw V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
c a
b a
d) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
c' a
b' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b' a
c' a
d'
{-# INLINE _zyw #-}
_zwx :: Lens' (t a) (V3 a)
_zwx V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
c a
d a
a) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
c' a
d' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b a
c' a
d'
{-# INLINE _zwx #-}
_zwy :: Lens' (t a) (V3 a)
_zwy V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
c a
d a
b) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
c' a
d' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b' a
c' a
d'
{-# INLINE _zwy #-}
_wxy :: Lens' (t a) (V3 a)
_wxy V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
d a
a a
b) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
d' a
a' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c a
d'
{-# INLINE _wxy #-}
_wxz :: Lens' (t a) (V3 a)
_wxz V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
d a
a a
c) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
d' a
a' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b a
c' a
d'
{-# INLINE _wxz #-}
_wyx :: Lens' (t a) (V3 a)
_wyx V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
d a
b a
a) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
d' a
b' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c a
d'
{-# INLINE _wyx #-}
_wyz :: Lens' (t a) (V3 a)
_wyz V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
d a
b a
c) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
d' a
b' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b' a
c' a
d'
{-# INLINE _wyz #-}
_wzx :: Lens' (t a) (V3 a)
_wzx V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
d a
c a
a) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
d' a
c' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b a
c' a
d'
{-# INLINE _wzx #-}
_wzy :: Lens' (t a) (V3 a)
_wzy V3 a -> m (V3 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V3 a -> m (V3 a)
f (a -> a -> a -> V3 a
forall a. a -> a -> a -> V3 a
V3 a
d a
c a
b) m (V3 a) -> (V3 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V3 a
d' a
c' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b' a
c' a
d'
{-# INLINE _wzy #-}

_xywz, _xzyw, _xzwy, _xwyz, _xwzy, _yxzw, _yxwz, _yzxw, _yzwx, _ywxz, _ywzx, _zxyw, _zxwy, _zyxw, _zywx, _zwxy, _zwyx, _wxyz, _wxzy, _wyxz, _wyzx, _wzxy, _wzyx :: R4 t => Lens' (t a) (V4 a)
_xywz :: Lens' (t a) (V4 a)
_xywz V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
b a
d a
c) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
a' a
b' a
d' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _xywz #-}
_xzyw :: Lens' (t a) (V4 a)
_xzyw V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
c a
b a
d) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
a' a
c' a
b' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _xzyw #-}
_xzwy :: Lens' (t a) (V4 a)
_xzwy V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
c a
d a
b) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
a' a
c' a
d' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _xzwy #-}
_xwyz :: Lens' (t a) (V4 a)
_xwyz V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
d a
b a
c) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
a' a
d' a
b' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _xwyz #-}
_xwzy :: Lens' (t a) (V4 a)
_xwzy V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a a
d a
c a
b) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
a' a
d' a
c' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _xwzy #-}
_yxzw :: Lens' (t a) (V4 a)
_yxzw V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
b a
a a
c a
d) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
b' a
a' a
c' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _yxzw #-}
_yxwz :: Lens' (t a) (V4 a)
_yxwz V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
b a
a a
d a
c) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
b' a
a' a
d' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _yxwz #-}
_yzxw :: Lens' (t a) (V4 a)
_yzxw V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
b a
c a
a a
d) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
b' a
c' a
a' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _yzxw #-}
_yzwx :: Lens' (t a) (V4 a)
_yzwx V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
b a
c a
d a
a) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
b' a
c' a
d' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _yzwx #-}
_ywxz :: Lens' (t a) (V4 a)
_ywxz V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
b a
d a
a a
c) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
b' a
d' a
a' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _ywxz #-}
_ywzx :: Lens' (t a) (V4 a)
_ywzx V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
b a
d a
c a
a) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
b' a
d' a
c' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _ywzx #-}
_zxyw :: Lens' (t a) (V4 a)
_zxyw V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
c a
a a
b a
d) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
c' a
a' a
b' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _zxyw #-}
_zxwy :: Lens' (t a) (V4 a)
_zxwy V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
c a
a a
d a
b) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
c' a
a' a
d' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _zxwy #-}
_zyxw :: Lens' (t a) (V4 a)
_zyxw V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
c a
b a
a a
d) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
c' a
b' a
a' a
d') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _zyxw #-}
_zywx :: Lens' (t a) (V4 a)
_zywx V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
c a
b a
d a
a) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
c' a
b' a
d' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _zywx #-}
_zwxy :: Lens' (t a) (V4 a)
_zwxy V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
c a
d a
a a
b) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
c' a
d' a
a' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _zwxy #-}
_zwyx :: Lens' (t a) (V4 a)
_zwyx V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
c a
d a
b a
a) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
c' a
d' a
b' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _zwyx #-}
_wxyz :: Lens' (t a) (V4 a)
_wxyz V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
d a
a a
b a
c) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
d' a
a' a
b' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _wxyz #-}
_wxzy :: Lens' (t a) (V4 a)
_wxzy V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
d a
a a
c a
b) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
d' a
a' a
c' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _wxzy #-}
_wyxz :: Lens' (t a) (V4 a)
_wyxz V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
d a
b a
a a
c) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
d' a
b' a
a' a
c') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _wyxz #-}
_wyzx :: Lens' (t a) (V4 a)
_wyzx V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
d a
b a
c a
a) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
d' a
b' a
c' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _wyzx #-}
_wzxy :: Lens' (t a) (V4 a)
_wzxy V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
d a
c a
a a
b) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
d' a
c' a
a' a
b') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _wzxy #-}
_wzyx :: Lens' (t a) (V4 a)
_wzyx V4 a -> m (V4 a)
f = (V4 a -> m (V4 a)) -> t a -> m (t a)
forall (t :: * -> *) a. R4 t => Lens' (t a) (V4 a)
_xyzw ((V4 a -> m (V4 a)) -> t a -> m (t a))
-> (V4 a -> m (V4 a)) -> t a -> m (t a)
forall a b. (a -> b) -> a -> b
$ \(V4 a
a a
b a
c a
d) -> V4 a -> m (V4 a)
f (a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
d a
c a
b a
a) m (V4 a) -> (V4 a -> V4 a) -> m (V4 a)
forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b
<&> \(V4 a
d' a
c' a
b' a
a') -> a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
a' a
b' a
c' a
d'
{-# INLINE _wzyx #-}

instance Storable a => Storable (V4 a) where
  sizeOf :: V4 a -> Int
sizeOf V4 a
_ = Int
4 Int -> Int -> Int
forall a. Num a => a -> a -> a
* a -> Int
forall a. Storable a => a -> Int
sizeOf (a
forall a. HasCallStack => a
undefined :: a)
  {-# INLINE sizeOf #-}
  alignment :: V4 a -> Int
alignment V4 a
_ = a -> Int
forall a. Storable a => a -> Int
alignment (a
forall a. HasCallStack => a
undefined :: a)
  {-# INLINE alignment #-}
  poke :: Ptr (V4 a) -> V4 a -> IO ()
poke Ptr (V4 a)
ptr (V4 a
x a
y a
z a
w) = do
    Ptr a -> a -> IO ()
forall a. Storable a => Ptr a -> a -> IO ()
poke Ptr a
ptr' a
x
    Ptr a -> Int -> a -> IO ()
forall a. Storable a => Ptr a -> Int -> a -> IO ()
pokeElemOff Ptr a
ptr' Int
1 a
y
    Ptr a -> Int -> a -> IO ()
forall a. Storable a => Ptr a -> Int -> a -> IO ()
pokeElemOff Ptr a
ptr' Int
2 a
z
    Ptr a -> Int -> a -> IO ()
forall a. Storable a => Ptr a -> Int -> a -> IO ()
pokeElemOff Ptr a
ptr' Int
3 a
w
    where
      ptr' :: Ptr a
ptr' = Ptr (V4 a) -> Ptr a
forall a b. Ptr a -> Ptr b
castPtr Ptr (V4 a)
ptr
  {-# INLINE poke #-}
  peek :: Ptr (V4 a) -> IO (V4 a)
peek Ptr (V4 a)
ptr =
    a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 (a -> a -> a -> a -> V4 a) -> IO a -> IO (a -> a -> a -> V4 a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Ptr a -> IO a
forall a. Storable a => Ptr a -> IO a
peek Ptr a
ptr' IO (a -> a -> a -> V4 a) -> IO a -> IO (a -> a -> V4 a)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Ptr a -> Int -> IO a
forall a. Storable a => Ptr a -> Int -> IO a
peekElemOff Ptr a
ptr' Int
1
      IO (a -> a -> V4 a) -> IO a -> IO (a -> V4 a)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Ptr a -> Int -> IO a
forall a. Storable a => Ptr a -> Int -> IO a
peekElemOff Ptr a
ptr' Int
2
      IO (a -> V4 a) -> IO a -> IO (V4 a)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Ptr a -> Int -> IO a
forall a. Storable a => Ptr a -> Int -> IO a
peekElemOff Ptr a
ptr' Int
3
    where
      ptr' :: Ptr a
ptr' = Ptr (V4 a) -> Ptr a
forall a b. Ptr a -> Ptr b
castPtr Ptr (V4 a)
ptr
  {-# INLINE peek #-}

instance Ix a => Ix (V4 a) where
  {-# SPECIALIZE instance Ix (V4 Int) #-}

  range :: (V4 a, V4 a) -> [V4 a]
range (V4 a
l1 a
l2 a
l3 a
l4, V4 a
u1 a
u2 a
u3 a
u4) =
    [ a -> a -> a -> a -> V4 a
forall a. a -> a -> a -> a -> V4 a
V4 a
i1 a
i2 a
i3 a
i4 | a
i1 <- (a, a) -> [a]
forall a. Ix a => (a, a) -> [a]
range (a
l1, a
u1), a
i2 <- (a, a) -> [a]
forall a. Ix a => (a, a) -> [a]
range (a
l2, a
u2), a
i3 <- (a, a) -> [a]
forall a. Ix a => (a, a) -> [a]
range (a
l3, a
u3), a
i4 <- (a, a) -> [a]
forall a. Ix a => (a, a) -> [a]
range (a
l4, a
u4)
    ]
  {-# INLINE range #-}

  inRange :: (V4 a, V4 a) -> V4 a -> Bool
inRange (V4 a
l1 a
l2 a
l3 a
l4, V4 a
u1 a
u2 a
u3 a
u4) (V4 a
i1 a
i2 a
i3 a
i4) =
    (a, a) -> a -> Bool
forall a. Ix a => (a, a) -> a -> Bool
inRange (a
l1, a
u1) a
i1 Bool -> Bool -> Bool
&& (a, a) -> a -> Bool
forall a. Ix a => (a, a) -> a -> Bool
inRange (a
l2, a
u2) a
i2
      Bool -> Bool -> Bool
&& (a, a) -> a -> Bool
forall a. Ix a => (a, a) -> a -> Bool
inRange (a
l3, a
u3) a
i3
      Bool -> Bool -> Bool
&& (a, a) -> a -> Bool
forall a. Ix a => (a, a) -> a -> Bool
inRange (a
l4, a
u4) a
i4
  {-# INLINE inRange #-}

#if MIN_VERSION_base(4,14,0)
  unsafeIndex :: (V4 a, V4 a) -> V4 a -> Int
unsafeIndex (V4 a
l1 a
l2 a
l3 a
l4, V4 a
u1 a
u2 a
u3 a
u4) (V4 a
i1 a
i2 a
i3 a
i4) =
    (a, a) -> a -> Int
forall a. Ix a => (a, a) -> a -> Int
unsafeIndex (a
l4, a
u4) a
i4 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ (a, a) -> Int
forall a. Ix a => (a, a) -> Int
unsafeRangeSize (a
l4, a
u4)
      Int -> Int -> Int
forall a. Num a => a -> a -> a
* ( (a, a) -> a -> Int
forall a. Ix a => (a, a) -> a -> Int
unsafeIndex (a
l3, a
u3) a
i3 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ (a, a) -> Int
forall a. Ix a => (a, a) -> Int
unsafeRangeSize (a
l3, a
u3)
            Int -> Int -> Int
forall a. Num a => a -> a -> a
* ( (a, a) -> a -> Int
forall a. Ix a => (a, a) -> a -> Int
unsafeIndex (a
l2, a
u2) a
i2 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ (a, a) -> Int
forall a. Ix a => (a, a) -> Int
unsafeRangeSize (a
l2, a
u2)
                  Int -> Int -> Int
forall a. Num a => a -> a -> a
* (a, a) -> a -> Int
forall a. Ix a => (a, a) -> a -> Int
unsafeIndex (a
l1, a
u1) a
i1
              )
        )
  {-# INLINE unsafeIndex #-}
#else
  index (V4 l1 l2 l3 l4, V4 u1 u2 u3 u4) (V4 i1 i2 i3 i4) =
    index (l4, u4) i4 + rangeSize (l4, u4)
      * ( index (l3, u3) i3 + rangeSize (l3, u3)
            * ( index (l2, u2) i2 + rangeSize (l2, u2)
                  * index (l1, u1) i1
              )
        )
  {-# INLINE index #-}
#endif