-- | Indicate that something is `Partial`.
module NewtypeZoo.Partial
  ( Partial(Partial)
  , _thePartial
  , thePartial
  ) where

import           Control.DeepSeq (NFData)
import           Control.Monad.Fix (MonadFix)
import           Control.Monad.Zip (MonadZip)
import           Data.Bits       (Bits,FiniteBits)
import           Data.Copointed  (Copointed)
import           Data.Default    (Default)
import           Data.Functor.Classes (Eq1, Ord1, Read1, Show1)
import           Data.Functor.Identity
import           Data.Ix         (Ix)
import           Data.Profunctor (Profunctor, dimap)
import           Data.Pointed    (Pointed)
import           Data.String     (IsString)
import           Data.Typeable   (Typeable)
import           Foreign.Storable (Storable)
import           GHC.Generics    (Generic, Generic1)
import           System.Random   (Random)
import           Test.QuickCheck (Arbitrary)

newtype Partial a = Partial a
  deriving ( Partial a -> Partial a -> Bool
(Partial a -> Partial a -> Bool)
-> (Partial a -> Partial a -> Bool) -> Eq (Partial a)
forall a. Eq a => Partial a -> Partial a -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
/= :: Partial a -> Partial a -> Bool
$c/= :: forall a. Eq a => Partial a -> Partial a -> Bool
== :: Partial a -> Partial a -> Bool
$c== :: forall a. Eq a => Partial a -> Partial a -> Bool
Eq
           , Eq (Partial a)
Eq (Partial a)
-> (Partial a -> Partial a -> Ordering)
-> (Partial a -> Partial a -> Bool)
-> (Partial a -> Partial a -> Bool)
-> (Partial a -> Partial a -> Bool)
-> (Partial a -> Partial a -> Bool)
-> (Partial a -> Partial a -> Partial a)
-> (Partial a -> Partial a -> Partial a)
-> Ord (Partial a)
Partial a -> Partial a -> Bool
Partial a -> Partial a -> Ordering
Partial a -> Partial a -> Partial a
forall a.
Eq a
-> (a -> a -> Ordering)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> a)
-> (a -> a -> a)
-> Ord a
forall a. Ord a => Eq (Partial a)
forall a. Ord a => Partial a -> Partial a -> Bool
forall a. Ord a => Partial a -> Partial a -> Ordering
forall a. Ord a => Partial a -> Partial a -> Partial a
min :: Partial a -> Partial a -> Partial a
$cmin :: forall a. Ord a => Partial a -> Partial a -> Partial a
max :: Partial a -> Partial a -> Partial a
$cmax :: forall a. Ord a => Partial a -> Partial a -> Partial a
>= :: Partial a -> Partial a -> Bool
$c>= :: forall a. Ord a => Partial a -> Partial a -> Bool
> :: Partial a -> Partial a -> Bool
$c> :: forall a. Ord a => Partial a -> Partial a -> Bool
<= :: Partial a -> Partial a -> Bool
$c<= :: forall a. Ord a => Partial a -> Partial a -> Bool
< :: Partial a -> Partial a -> Bool
$c< :: forall a. Ord a => Partial a -> Partial a -> Bool
compare :: Partial a -> Partial a -> Ordering
$ccompare :: forall a. Ord a => Partial a -> Partial a -> Ordering
$cp1Ord :: forall a. Ord a => Eq (Partial a)
Ord
           , ReadPrec [Partial a]
ReadPrec (Partial a)
Int -> ReadS (Partial a)
ReadS [Partial a]
(Int -> ReadS (Partial a))
-> ReadS [Partial a]
-> ReadPrec (Partial a)
-> ReadPrec [Partial a]
-> Read (Partial a)
forall a. Read a => ReadPrec [Partial a]
forall a. Read a => ReadPrec (Partial a)
forall a. Read a => Int -> ReadS (Partial a)
forall a. Read a => ReadS [Partial a]
forall a.
(Int -> ReadS a)
-> ReadS [a] -> ReadPrec a -> ReadPrec [a] -> Read a
readListPrec :: ReadPrec [Partial a]
$creadListPrec :: forall a. Read a => ReadPrec [Partial a]
readPrec :: ReadPrec (Partial a)
$creadPrec :: forall a. Read a => ReadPrec (Partial a)
readList :: ReadS [Partial a]
$creadList :: forall a. Read a => ReadS [Partial a]
readsPrec :: Int -> ReadS (Partial a)
$creadsPrec :: forall a. Read a => Int -> ReadS (Partial a)
Read
           , Int -> Partial a -> ShowS
[Partial a] -> ShowS
Partial a -> String
(Int -> Partial a -> ShowS)
-> (Partial a -> String)
-> ([Partial a] -> ShowS)
-> Show (Partial a)
forall a. Show a => Int -> Partial a -> ShowS
forall a. Show a => [Partial a] -> ShowS
forall a. Show a => Partial a -> String
forall a.
(Int -> a -> ShowS) -> (a -> String) -> ([a] -> ShowS) -> Show a
showList :: [Partial a] -> ShowS
$cshowList :: forall a. Show a => [Partial a] -> ShowS
show :: Partial a -> String
$cshow :: forall a. Show a => Partial a -> String
showsPrec :: Int -> Partial a -> ShowS
$cshowsPrec :: forall a. Show a => Int -> Partial a -> ShowS
Show
           , Partial a -> ()
(Partial a -> ()) -> NFData (Partial a)
forall a. NFData a => Partial a -> ()
forall a. (a -> ()) -> NFData a
rnf :: Partial a -> ()
$crnf :: forall a. NFData a => Partial a -> ()
NFData
           , Partial a -> Bool
(a -> m) -> Partial a -> m
(a -> b -> b) -> b -> Partial a -> b
(forall m. Monoid m => Partial m -> m)
-> (forall m a. Monoid m => (a -> m) -> Partial a -> m)
-> (forall m a. Monoid m => (a -> m) -> Partial a -> m)
-> (forall a b. (a -> b -> b) -> b -> Partial a -> b)
-> (forall a b. (a -> b -> b) -> b -> Partial a -> b)
-> (forall b a. (b -> a -> b) -> b -> Partial a -> b)
-> (forall b a. (b -> a -> b) -> b -> Partial a -> b)
-> (forall a. (a -> a -> a) -> Partial a -> a)
-> (forall a. (a -> a -> a) -> Partial a -> a)
-> (forall a. Partial a -> [a])
-> (forall a. Partial a -> Bool)
-> (forall a. Partial a -> Int)
-> (forall a. Eq a => a -> Partial a -> Bool)
-> (forall a. Ord a => Partial a -> a)
-> (forall a. Ord a => Partial a -> a)
-> (forall a. Num a => Partial a -> a)
-> (forall a. Num a => Partial a -> a)
-> Foldable Partial
forall a. Eq a => a -> Partial a -> Bool
forall a. Num a => Partial a -> a
forall a. Ord a => Partial a -> a
forall m. Monoid m => Partial m -> m
forall a. Partial a -> Bool
forall a. Partial a -> Int
forall a. Partial a -> [a]
forall a. (a -> a -> a) -> Partial a -> a
forall m a. Monoid m => (a -> m) -> Partial a -> m
forall b a. (b -> a -> b) -> b -> Partial a -> b
forall a b. (a -> b -> b) -> b -> Partial a -> b
forall (t :: * -> *).
(forall m. Monoid m => t m -> m)
-> (forall m a. Monoid m => (a -> m) -> t a -> m)
-> (forall m a. Monoid m => (a -> m) -> t a -> m)
-> (forall a b. (a -> b -> b) -> b -> t a -> b)
-> (forall a b. (a -> b -> b) -> b -> t a -> b)
-> (forall b a. (b -> a -> b) -> b -> t a -> b)
-> (forall b a. (b -> a -> b) -> b -> t a -> b)
-> (forall a. (a -> a -> a) -> t a -> a)
-> (forall a. (a -> a -> a) -> t a -> a)
-> (forall a. t a -> [a])
-> (forall a. t a -> Bool)
-> (forall a. t a -> Int)
-> (forall a. Eq a => a -> t a -> Bool)
-> (forall a. Ord a => t a -> a)
-> (forall a. Ord a => t a -> a)
-> (forall a. Num a => t a -> a)
-> (forall a. Num a => t a -> a)
-> Foldable t
product :: Partial a -> a
$cproduct :: forall a. Num a => Partial a -> a
sum :: Partial a -> a
$csum :: forall a. Num a => Partial a -> a
minimum :: Partial a -> a
$cminimum :: forall a. Ord a => Partial a -> a
maximum :: Partial a -> a
$cmaximum :: forall a. Ord a => Partial a -> a
elem :: a -> Partial a -> Bool
$celem :: forall a. Eq a => a -> Partial a -> Bool
length :: Partial a -> Int
$clength :: forall a. Partial a -> Int
null :: Partial a -> Bool
$cnull :: forall a. Partial a -> Bool
toList :: Partial a -> [a]
$ctoList :: forall a. Partial a -> [a]
foldl1 :: (a -> a -> a) -> Partial a -> a
$cfoldl1 :: forall a. (a -> a -> a) -> Partial a -> a
foldr1 :: (a -> a -> a) -> Partial a -> a
$cfoldr1 :: forall a. (a -> a -> a) -> Partial a -> a
foldl' :: (b -> a -> b) -> b -> Partial a -> b
$cfoldl' :: forall b a. (b -> a -> b) -> b -> Partial a -> b
foldl :: (b -> a -> b) -> b -> Partial a -> b
$cfoldl :: forall b a. (b -> a -> b) -> b -> Partial a -> b
foldr' :: (a -> b -> b) -> b -> Partial a -> b
$cfoldr' :: forall a b. (a -> b -> b) -> b -> Partial a -> b
foldr :: (a -> b -> b) -> b -> Partial a -> b
$cfoldr :: forall a b. (a -> b -> b) -> b -> Partial a -> b
foldMap' :: (a -> m) -> Partial a -> m
$cfoldMap' :: forall m a. Monoid m => (a -> m) -> Partial a -> m
foldMap :: (a -> m) -> Partial a -> m
$cfoldMap :: forall m a. Monoid m => (a -> m) -> Partial a -> m
fold :: Partial m -> m
$cfold :: forall m. Monoid m => Partial m -> m
Foldable
           , Functor Partial
Foldable Partial
Functor Partial
-> Foldable Partial
-> (forall (f :: * -> *) a b.
    Applicative f =>
    (a -> f b) -> Partial a -> f (Partial b))
-> (forall (f :: * -> *) a.
    Applicative f =>
    Partial (f a) -> f (Partial a))
-> (forall (m :: * -> *) a b.
    Monad m =>
    (a -> m b) -> Partial a -> m (Partial b))
-> (forall (m :: * -> *) a.
    Monad m =>
    Partial (m a) -> m (Partial a))
-> Traversable Partial
(a -> f b) -> Partial a -> f (Partial b)
forall (t :: * -> *).
Functor t
-> Foldable t
-> (forall (f :: * -> *) a b.
    Applicative f =>
    (a -> f b) -> t a -> f (t b))
-> (forall (f :: * -> *) a. Applicative f => t (f a) -> f (t a))
-> (forall (m :: * -> *) a b.
    Monad m =>
    (a -> m b) -> t a -> m (t b))
-> (forall (m :: * -> *) a. Monad m => t (m a) -> m (t a))
-> Traversable t
forall (m :: * -> *) a. Monad m => Partial (m a) -> m (Partial a)
forall (f :: * -> *) a.
Applicative f =>
Partial (f a) -> f (Partial a)
forall (m :: * -> *) a b.
Monad m =>
(a -> m b) -> Partial a -> m (Partial b)
forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> Partial a -> f (Partial b)
sequence :: Partial (m a) -> m (Partial a)
$csequence :: forall (m :: * -> *) a. Monad m => Partial (m a) -> m (Partial a)
mapM :: (a -> m b) -> Partial a -> m (Partial b)
$cmapM :: forall (m :: * -> *) a b.
Monad m =>
(a -> m b) -> Partial a -> m (Partial b)
sequenceA :: Partial (f a) -> f (Partial a)
$csequenceA :: forall (f :: * -> *) a.
Applicative f =>
Partial (f a) -> f (Partial a)
traverse :: (a -> f b) -> Partial a -> f (Partial b)
$ctraverse :: forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> Partial a -> f (Partial b)
$cp2Traversable :: Foldable Partial
$cp1Traversable :: Functor Partial
Traversable
           , a -> Partial b -> Partial a
(a -> b) -> Partial a -> Partial b
(forall a b. (a -> b) -> Partial a -> Partial b)
-> (forall a b. a -> Partial b -> Partial a) -> Functor Partial
forall a b. a -> Partial b -> Partial a
forall a b. (a -> b) -> Partial a -> Partial b
forall (f :: * -> *).
(forall a b. (a -> b) -> f a -> f b)
-> (forall a b. a -> f b -> f a) -> Functor f
<$ :: a -> Partial b -> Partial a
$c<$ :: forall a b. a -> Partial b -> Partial a
fmap :: (a -> b) -> Partial a -> Partial b
$cfmap :: forall a b. (a -> b) -> Partial a -> Partial b
Functor
           , Partial a
Partial a -> Default (Partial a)
forall a. a -> Default a
forall a. Default a => Partial a
def :: Partial a
$cdef :: forall a. Default a => Partial a
Default
           , Semigroup (Partial a)
Partial a
Semigroup (Partial a)
-> Partial a
-> (Partial a -> Partial a -> Partial a)
-> ([Partial a] -> Partial a)
-> Monoid (Partial a)
[Partial a] -> Partial a
Partial a -> Partial a -> Partial a
forall a.
Semigroup a -> a -> (a -> a -> a) -> ([a] -> a) -> Monoid a
forall a. Monoid a => Semigroup (Partial a)
forall a. Monoid a => Partial a
forall a. Monoid a => [Partial a] -> Partial a
forall a. Monoid a => Partial a -> Partial a -> Partial a
mconcat :: [Partial a] -> Partial a
$cmconcat :: forall a. Monoid a => [Partial a] -> Partial a
mappend :: Partial a -> Partial a -> Partial a
$cmappend :: forall a. Monoid a => Partial a -> Partial a -> Partial a
mempty :: Partial a
$cmempty :: forall a. Monoid a => Partial a
$cp1Monoid :: forall a. Monoid a => Semigroup (Partial a)
Monoid
           , b -> Partial a -> Partial a
NonEmpty (Partial a) -> Partial a
Partial a -> Partial a -> Partial a
(Partial a -> Partial a -> Partial a)
-> (NonEmpty (Partial a) -> Partial a)
-> (forall b. Integral b => b -> Partial a -> Partial a)
-> Semigroup (Partial a)
forall b. Integral b => b -> Partial a -> Partial a
forall a. Semigroup a => NonEmpty (Partial a) -> Partial a
forall a. Semigroup a => Partial a -> Partial a -> Partial a
forall a b.
(Semigroup a, Integral b) =>
b -> Partial a -> Partial a
forall a.
(a -> a -> a)
-> (NonEmpty a -> a)
-> (forall b. Integral b => b -> a -> a)
-> Semigroup a
stimes :: b -> Partial a -> Partial a
$cstimes :: forall a b.
(Semigroup a, Integral b) =>
b -> Partial a -> Partial a
sconcat :: NonEmpty (Partial a) -> Partial a
$csconcat :: forall a. Semigroup a => NonEmpty (Partial a) -> Partial a
<> :: Partial a -> Partial a -> Partial a
$c<> :: forall a. Semigroup a => Partial a -> Partial a -> Partial a
Semigroup
           , Typeable
           , (forall x. Partial a -> Rep (Partial a) x)
-> (forall x. Rep (Partial a) x -> Partial a)
-> Generic (Partial a)
forall x. Rep (Partial a) x -> Partial a
forall x. Partial a -> Rep (Partial a) x
forall a.
(forall x. a -> Rep a x) -> (forall x. Rep a x -> a) -> Generic a
forall a x. Rep (Partial a) x -> Partial a
forall a x. Partial a -> Rep (Partial a) x
$cto :: forall a x. Rep (Partial a) x -> Partial a
$cfrom :: forall a x. Partial a -> Rep (Partial a) x
Generic
           , (forall a. Partial a -> Rep1 Partial a)
-> (forall a. Rep1 Partial a -> Partial a) -> Generic1 Partial
forall a. Rep1 Partial a -> Partial a
forall a. Partial a -> Rep1 Partial a
forall k (f :: k -> *).
(forall (a :: k). f a -> Rep1 f a)
-> (forall (a :: k). Rep1 f a -> f a) -> Generic1 f
$cto1 :: forall a. Rep1 Partial a -> Partial a
$cfrom1 :: forall a. Partial a -> Rep1 Partial a
Generic1
           , g -> (Partial a, g)
g -> [Partial a]
(Partial a, Partial a) -> g -> (Partial a, g)
(Partial a, Partial a) -> g -> [Partial a]
(forall g.
 RandomGen g =>
 (Partial a, Partial a) -> g -> (Partial a, g))
-> (forall g. RandomGen g => g -> (Partial a, g))
-> (forall g.
    RandomGen g =>
    (Partial a, Partial a) -> g -> [Partial a])
-> (forall g. RandomGen g => g -> [Partial a])
-> Random (Partial a)
forall a g. (Random a, RandomGen g) => g -> [Partial a]
forall a g. (Random a, RandomGen g) => g -> (Partial a, g)
forall a g.
(Random a, RandomGen g) =>
(Partial a, Partial a) -> g -> [Partial a]
forall a g.
(Random a, RandomGen g) =>
(Partial a, Partial a) -> g -> (Partial a, g)
forall g. RandomGen g => g -> [Partial a]
forall g. RandomGen g => g -> (Partial a, g)
forall g. RandomGen g => (Partial a, Partial a) -> g -> [Partial a]
forall g.
RandomGen g =>
(Partial a, Partial a) -> g -> (Partial a, g)
forall a.
(forall g. RandomGen g => (a, a) -> g -> (a, g))
-> (forall g. RandomGen g => g -> (a, g))
-> (forall g. RandomGen g => (a, a) -> g -> [a])
-> (forall g. RandomGen g => g -> [a])
-> Random a
randoms :: g -> [Partial a]
$crandoms :: forall a g. (Random a, RandomGen g) => g -> [Partial a]
randomRs :: (Partial a, Partial a) -> g -> [Partial a]
$crandomRs :: forall a g.
(Random a, RandomGen g) =>
(Partial a, Partial a) -> g -> [Partial a]
random :: g -> (Partial a, g)
$crandom :: forall a g. (Random a, RandomGen g) => g -> (Partial a, g)
randomR :: (Partial a, Partial a) -> g -> (Partial a, g)
$crandomR :: forall a g.
(Random a, RandomGen g) =>
(Partial a, Partial a) -> g -> (Partial a, g)
Random
           , Gen (Partial a)
Gen (Partial a)
-> (Partial a -> [Partial a]) -> Arbitrary (Partial a)
Partial a -> [Partial a]
forall a. Arbitrary a => Gen (Partial a)
forall a. Arbitrary a => Partial a -> [Partial a]
forall a. Gen a -> (a -> [a]) -> Arbitrary a
shrink :: Partial a -> [Partial a]
$cshrink :: forall a. Arbitrary a => Partial a -> [Partial a]
arbitrary :: Gen (Partial a)
$carbitrary :: forall a. Arbitrary a => Gen (Partial a)
Arbitrary
           , Partial a
Partial a -> Partial a -> Bounded (Partial a)
forall a. a -> a -> Bounded a
forall a. Bounded a => Partial a
maxBound :: Partial a
$cmaxBound :: forall a. Bounded a => Partial a
minBound :: Partial a
$cminBound :: forall a. Bounded a => Partial a
Bounded
           , Int -> Partial a
Partial a -> Int
Partial a -> [Partial a]
Partial a -> Partial a
Partial a -> Partial a -> [Partial a]
Partial a -> Partial a -> Partial a -> [Partial a]
(Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Int -> Partial a)
-> (Partial a -> Int)
-> (Partial a -> [Partial a])
-> (Partial a -> Partial a -> [Partial a])
-> (Partial a -> Partial a -> [Partial a])
-> (Partial a -> Partial a -> Partial a -> [Partial a])
-> Enum (Partial a)
forall a. Enum a => Int -> Partial a
forall a. Enum a => Partial a -> Int
forall a. Enum a => Partial a -> [Partial a]
forall a. Enum a => Partial a -> Partial a
forall a. Enum a => Partial a -> Partial a -> [Partial a]
forall a.
Enum a =>
Partial a -> Partial a -> Partial a -> [Partial a]
forall a.
(a -> a)
-> (a -> a)
-> (Int -> a)
-> (a -> Int)
-> (a -> [a])
-> (a -> a -> [a])
-> (a -> a -> [a])
-> (a -> a -> a -> [a])
-> Enum a
enumFromThenTo :: Partial a -> Partial a -> Partial a -> [Partial a]
$cenumFromThenTo :: forall a.
Enum a =>
Partial a -> Partial a -> Partial a -> [Partial a]
enumFromTo :: Partial a -> Partial a -> [Partial a]
$cenumFromTo :: forall a. Enum a => Partial a -> Partial a -> [Partial a]
enumFromThen :: Partial a -> Partial a -> [Partial a]
$cenumFromThen :: forall a. Enum a => Partial a -> Partial a -> [Partial a]
enumFrom :: Partial a -> [Partial a]
$cenumFrom :: forall a. Enum a => Partial a -> [Partial a]
fromEnum :: Partial a -> Int
$cfromEnum :: forall a. Enum a => Partial a -> Int
toEnum :: Int -> Partial a
$ctoEnum :: forall a. Enum a => Int -> Partial a
pred :: Partial a -> Partial a
$cpred :: forall a. Enum a => Partial a -> Partial a
succ :: Partial a -> Partial a
$csucc :: forall a. Enum a => Partial a -> Partial a
Enum
           , Fractional (Partial a)
Partial a
Fractional (Partial a)
-> Partial a
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a -> Partial a)
-> (Partial a -> Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Partial a -> Partial a)
-> Floating (Partial a)
Partial a -> Partial a
Partial a -> Partial a -> Partial a
forall a. Floating a => Fractional (Partial a)
forall a. Floating a => Partial a
forall a. Floating a => Partial a -> Partial a
forall a. Floating a => Partial a -> Partial a -> Partial a
forall a.
Fractional a
-> a
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a -> a)
-> (a -> a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> (a -> a)
-> Floating a
log1mexp :: Partial a -> Partial a
$clog1mexp :: forall a. Floating a => Partial a -> Partial a
log1pexp :: Partial a -> Partial a
$clog1pexp :: forall a. Floating a => Partial a -> Partial a
expm1 :: Partial a -> Partial a
$cexpm1 :: forall a. Floating a => Partial a -> Partial a
log1p :: Partial a -> Partial a
$clog1p :: forall a. Floating a => Partial a -> Partial a
atanh :: Partial a -> Partial a
$catanh :: forall a. Floating a => Partial a -> Partial a
acosh :: Partial a -> Partial a
$cacosh :: forall a. Floating a => Partial a -> Partial a
asinh :: Partial a -> Partial a
$casinh :: forall a. Floating a => Partial a -> Partial a
tanh :: Partial a -> Partial a
$ctanh :: forall a. Floating a => Partial a -> Partial a
cosh :: Partial a -> Partial a
$ccosh :: forall a. Floating a => Partial a -> Partial a
sinh :: Partial a -> Partial a
$csinh :: forall a. Floating a => Partial a -> Partial a
atan :: Partial a -> Partial a
$catan :: forall a. Floating a => Partial a -> Partial a
acos :: Partial a -> Partial a
$cacos :: forall a. Floating a => Partial a -> Partial a
asin :: Partial a -> Partial a
$casin :: forall a. Floating a => Partial a -> Partial a
tan :: Partial a -> Partial a
$ctan :: forall a. Floating a => Partial a -> Partial a
cos :: Partial a -> Partial a
$ccos :: forall a. Floating a => Partial a -> Partial a
sin :: Partial a -> Partial a
$csin :: forall a. Floating a => Partial a -> Partial a
logBase :: Partial a -> Partial a -> Partial a
$clogBase :: forall a. Floating a => Partial a -> Partial a -> Partial a
** :: Partial a -> Partial a -> Partial a
$c** :: forall a. Floating a => Partial a -> Partial a -> Partial a
sqrt :: Partial a -> Partial a
$csqrt :: forall a. Floating a => Partial a -> Partial a
log :: Partial a -> Partial a
$clog :: forall a. Floating a => Partial a -> Partial a
exp :: Partial a -> Partial a
$cexp :: forall a. Floating a => Partial a -> Partial a
pi :: Partial a
$cpi :: forall a. Floating a => Partial a
$cp1Floating :: forall a. Floating a => Fractional (Partial a)
Floating
           , Num (Partial a)
Num (Partial a)
-> (Partial a -> Partial a -> Partial a)
-> (Partial a -> Partial a)
-> (Rational -> Partial a)
-> Fractional (Partial a)
Rational -> Partial a
Partial a -> Partial a
Partial a -> Partial a -> Partial a
forall a. Fractional a => Num (Partial a)
forall a. Fractional a => Rational -> Partial a
forall a. Fractional a => Partial a -> Partial a
forall a. Fractional a => Partial a -> Partial a -> Partial a
forall a.
Num a
-> (a -> a -> a) -> (a -> a) -> (Rational -> a) -> Fractional a
fromRational :: Rational -> Partial a
$cfromRational :: forall a. Fractional a => Rational -> Partial a
recip :: Partial a -> Partial a
$crecip :: forall a. Fractional a => Partial a -> Partial a
/ :: Partial a -> Partial a -> Partial a
$c/ :: forall a. Fractional a => Partial a -> Partial a -> Partial a
$cp1Fractional :: forall a. Fractional a => Num (Partial a)
Fractional
           , Enum (Partial a)
Real (Partial a)
Real (Partial a)
-> Enum (Partial a)
-> (Partial a -> Partial a -> Partial a)
-> (Partial a -> Partial a -> Partial a)
-> (Partial a -> Partial a -> Partial a)
-> (Partial a -> Partial a -> Partial a)
-> (Partial a -> Partial a -> (Partial a, Partial a))
-> (Partial a -> Partial a -> (Partial a, Partial a))
-> (Partial a -> Integer)
-> Integral (Partial a)
Partial a -> Integer
Partial a -> Partial a -> (Partial a, Partial a)
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$cmzipWith :: forall a b c. (a -> b -> c) -> Partial a -> Partial b -> Partial c
mzip :: Partial a -> Partial b -> Partial (a, b)
$cmzip :: forall a b. Partial a -> Partial b -> Partial (a, b)
$cp1MonadZip :: Monad Partial
MonadZip

           )
           via Identity

_thePartial :: Partial x -> x
_thePartial :: Partial x -> x
_thePartial (Partial !x
x) = x
x
{-# INLINE _thePartial #-}

thePartial :: forall a b p f. (Profunctor p, Functor f) => p a (f b) -> p (Partial a) (f (Partial b))
thePartial :: p a (f b) -> p (Partial a) (f (Partial b))
thePartial = (Partial a -> a)
-> (f b -> f (Partial b))
-> p a (f b)
-> p (Partial a) (f (Partial b))
forall (p :: * -> * -> *) a b c d.
Profunctor p =>
(a -> b) -> (c -> d) -> p b c -> p a d
dimap Partial a -> a
forall a. Partial a -> a
_thePartial ((b -> Partial b) -> f b -> f (Partial b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> Partial b
forall a. a -> Partial a
Partial)
{-# INLINE thePartial #-}