{- |
Copyright   :  (c) Henning Thielemann 2007-2010

Maintainer  :  haskell@henning-thielemann.de
Stability   :  stable
Portability :  Haskell 98
-}
module Data.EventList.Relative.TimeBodyPrivate where

import qualified Data.EventList.Relative.BodyBodyPrivate as BodyBodyList
import qualified Data.EventList.Relative.BodyBodyPrivate as BodyBodyPriv

import qualified Data.AlternatingList.List.Disparate as Disp
-- import qualified Data.AlternatingList.List.Uniform as Uniform
import qualified Data.AlternatingList.List.Mixed as Mixed

import qualified Control.Monad as Monad
import qualified Data.Foldable as Fold
import qualified Data.Traversable as Trav
import qualified Control.Applicative as App
import Control.Applicative (Applicative, )
import Data.Monoid (Monoid, mempty, mappend, )
import Data.Semigroup (Semigroup, (<>), )

import Data.Tuple.HT (mapSnd, )

import Test.QuickCheck (Arbitrary(arbitrary, shrink))



newtype T time body = Cons {forall time body. T time body -> T time body
decons :: Disp.T time body}
   deriving (T time body -> T time body -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
forall time body.
(Eq time, Eq body) =>
T time body -> T time body -> Bool
/= :: T time body -> T time body -> Bool
$c/= :: forall time body.
(Eq time, Eq body) =>
T time body -> T time body -> Bool
== :: T time body -> T time body -> Bool
$c== :: forall time body.
(Eq time, Eq body) =>
T time body -> T time body -> Bool
Eq, T time body -> T time body -> Bool
T time body -> T time body -> Ordering
T time body -> T time body -> T time body
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 {time} {body}. (Ord time, Ord body) => Eq (T time body)
forall time body.
(Ord time, Ord body) =>
T time body -> T time body -> Bool
forall time body.
(Ord time, Ord body) =>
T time body -> T time body -> Ordering
forall time body.
(Ord time, Ord body) =>
T time body -> T time body -> T time body
min :: T time body -> T time body -> T time body
$cmin :: forall time body.
(Ord time, Ord body) =>
T time body -> T time body -> T time body
max :: T time body -> T time body -> T time body
$cmax :: forall time body.
(Ord time, Ord body) =>
T time body -> T time body -> T time body
>= :: T time body -> T time body -> Bool
$c>= :: forall time body.
(Ord time, Ord body) =>
T time body -> T time body -> Bool
> :: T time body -> T time body -> Bool
$c> :: forall time body.
(Ord time, Ord body) =>
T time body -> T time body -> Bool
<= :: T time body -> T time body -> Bool
$c<= :: forall time body.
(Ord time, Ord body) =>
T time body -> T time body -> Bool
< :: T time body -> T time body -> Bool
$c< :: forall time body.
(Ord time, Ord body) =>
T time body -> T time body -> Bool
compare :: T time body -> T time body -> Ordering
$ccompare :: forall time body.
(Ord time, Ord body) =>
T time body -> T time body -> Ordering
Ord)


instance (Show time, Show body) => Show (T time body) where
   showsPrec :: Int -> T time body -> ShowS
showsPrec Int
p = forall a b.
(Show a, Show b) =>
String -> String -> Int -> T a b -> ShowS
Disp.format String
" /. " String
" ./ " Int
p forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall time body. T time body -> T time body
decons


instance (Arbitrary time, Arbitrary body) =>
             Arbitrary (T time body) where
   arbitrary :: Gen (T time body)
arbitrary = forall (m :: * -> *) a1 r. Monad m => (a1 -> r) -> m a1 -> m r
Monad.liftM forall time body. T time body -> T time body
Cons forall a. Arbitrary a => Gen a
arbitrary
   shrink :: T time body -> [T time body]
shrink = forall (m :: * -> *) time0 body0 time1 body1.
Monad m =>
(T time0 body0 -> m (T time1 body1))
-> T time0 body0 -> m (T time1 body1)
liftM forall a. Arbitrary a => a -> [a]
shrink

instance Semigroup (T time body) where
   Cons T time body
x <> :: T time body -> T time body -> T time body
<> Cons T time body
y = forall time body. T time body -> T time body
Cons (forall a b. T a b -> T a b -> T a b
Disp.append T time body
x T time body
y)

instance Monoid (T time body) where
   mempty :: T time body
mempty = forall time body. T time body -> T time body
Cons forall a b. T a b
Disp.empty
   mappend :: T time body -> T time body -> T time body
mappend = forall a. Semigroup a => a -> a -> a
(<>)

instance Functor (T time) where
   fmap :: forall a b. (a -> b) -> T time a -> T time b
fmap a -> b
f (Cons T time a
x) = forall time body. T time body -> T time body
Cons (forall b0 b1 a. (b0 -> b1) -> T a b0 -> T a b1
Disp.mapSecond a -> b
f T time a
x)

instance Fold.Foldable (T time) where
   foldMap :: forall m a. Monoid m => (a -> m) -> T time a -> m
foldMap = forall (t :: * -> *) m a.
(Traversable t, Monoid m) =>
(a -> m) -> t a -> m
Trav.foldMapDefault

instance Trav.Traversable (T time) where
   traverse :: forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> T time a -> f (T time b)
traverse a -> f b
f =
      forall (f :: * -> *) a b. Applicative f => (a -> b) -> f a -> f b
App.liftA forall time body. T time body -> T time body
Cons forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (m :: * -> *) a0 a1 b0 b1.
Applicative m =>
(a0 -> m a1) -> (b0 -> m b1) -> T a0 b0 -> m (T a1 b1)
Disp.traverse forall (f :: * -> *) a. Applicative f => a -> f a
App.pure a -> f b
f forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall time body. T time body -> T time body
decons


infixl 5 $~*

($~*) :: (Disp.T time body -> a) -> (T time body -> a)
$~* :: forall time body a. (T time body -> a) -> T time body -> a
($~*) T time body -> a
f = T time body -> a
f forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall time body. T time body -> T time body
decons


lift ::
   (Disp.T time0 body0 -> Disp.T time1 body1) ->
   (T time0 body0 -> T time1 body1)
lift :: forall time0 body0 time1 body1.
(T time0 body0 -> T time1 body1) -> T time0 body0 -> T time1 body1
lift T time0 body0 -> T time1 body1
f = forall time body. T time body -> T time body
Cons forall b c a. (b -> c) -> (a -> b) -> a -> c
. T time0 body0 -> T time1 body1
f forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall time body. T time body -> T time body
decons

liftA :: Applicative m =>
   (Disp.T time0 body0 -> m (Disp.T time1 body1)) ->
   (T time0 body0 -> m (T time1 body1))
liftA :: forall (m :: * -> *) time0 body0 time1 body1.
Applicative m =>
(T time0 body0 -> m (T time1 body1))
-> T time0 body0 -> m (T time1 body1)
liftA T time0 body0 -> m (T time1 body1)
f = forall (f :: * -> *) a b. Applicative f => (a -> b) -> f a -> f b
App.liftA forall time body. T time body -> T time body
Cons forall b c a. (b -> c) -> (a -> b) -> a -> c
. T time0 body0 -> m (T time1 body1)
f forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall time body. T time body -> T time body
decons

liftM :: Monad m =>
   (Disp.T time0 body0 -> m (Disp.T time1 body1)) ->
   (T time0 body0 -> m (T time1 body1))
liftM :: forall (m :: * -> *) time0 body0 time1 body1.
Monad m =>
(T time0 body0 -> m (T time1 body1))
-> T time0 body0 -> m (T time1 body1)
liftM T time0 body0 -> m (T time1 body1)
f = forall (m :: * -> *) a1 r. Monad m => (a1 -> r) -> m a1 -> m r
Monad.liftM forall time body. T time body -> T time body
Cons forall b c a. (b -> c) -> (a -> b) -> a -> c
. T time0 body0 -> m (T time1 body1)
f forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall time body. T time body -> T time body
decons

unlift ::
   (T time0 body0 -> T time1 body1) ->
   (Disp.T time0 body0 -> Disp.T time1 body1)
unlift :: forall time0 body0 time1 body1.
(T time0 body0 -> T time1 body1) -> T time0 body0 -> T time1 body1
unlift T time0 body0 -> T time1 body1
f = forall time body. T time body -> T time body
decons forall b c a. (b -> c) -> (a -> b) -> a -> c
. T time0 body0 -> T time1 body1
f forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall time body. T time body -> T time body
Cons



mapTimeL ::
   (time -> time, BodyBodyList.T time body0 -> BodyBodyList.T time body1) ->
   T time body0 -> T time body1
mapTimeL :: forall time body0 body1.
(time -> time, T time body0 -> T time body1)
-> T time body0 -> T time body1
mapTimeL = forall time0 body0 time1 body1.
(T time0 body0 -> T time1 body1) -> T time0 body0 -> T time1 body1
lift forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall a b0 b1. (a -> a, T a b0 -> T a b1) -> T a b0 -> T a b1
Mixed.mapFirstL forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall b c a. (b -> c) -> (a, b) -> (a, c)
mapSnd forall time0 body0 time1 body1.
(T time0 body0 -> T time1 body1) -> T time0 body0 -> T time1 body1
BodyBodyPriv.unlift

mapTimeHead ::
   (time -> time) ->
   T time body -> T time body
mapTimeHead :: forall time body. (time -> time) -> T time body -> T time body
mapTimeHead = forall time0 body0 time1 body1.
(T time0 body0 -> T time1 body1) -> T time0 body0 -> T time1 body1
lift forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall a b. (a -> a) -> T a b -> T a b
Mixed.mapFirstHead

mapTimeTail ::
   (BodyBodyList.T time body0 -> BodyBodyList.T time body1) ->
   T time body0 -> T time body1
mapTimeTail :: forall time body0 body1.
(T time body0 -> T time body1) -> T time body0 -> T time body1
mapTimeTail = forall time0 body0 time1 body1.
(T time0 body0 -> T time1 body1) -> T time0 body0 -> T time1 body1
lift forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall a b0 b1. (T a b0 -> T a b1) -> T a b0 -> T a b1
Mixed.mapFirstTail forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall time0 body0 time1 body1.
(T time0 body0 -> T time1 body1) -> T time0 body0 -> T time1 body1
BodyBodyPriv.unlift