{-# OPTIONS_HADDOCK not-home, show-extensions #-}
{-# LANGUAGE ConstraintKinds #-}
{-# LANGUAGE DataKinds #-}
{-# LANGUAGE DeriveDataTypeable #-}
{-# LANGUAGE DeriveGeneric #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE TypeOperators #-}
module Numeric.Units.Dimensional.Variants
(
type Variant(..),
Metricality(..),
type (*), type (/), type Weaken,
type CompatibleVariants
)
where
import Control.DeepSeq
import Data.Data
import qualified Data.ExactPi.TypeLevel as E
import GHC.Generics
import Prelude
data Metricality = Metric
| NonMetric
deriving (Metricality -> Metricality -> Bool
(Metricality -> Metricality -> Bool)
-> (Metricality -> Metricality -> Bool) -> Eq Metricality
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
/= :: Metricality -> Metricality -> Bool
$c/= :: Metricality -> Metricality -> Bool
== :: Metricality -> Metricality -> Bool
$c== :: Metricality -> Metricality -> Bool
Eq, Eq Metricality
Eq Metricality
-> (Metricality -> Metricality -> Ordering)
-> (Metricality -> Metricality -> Bool)
-> (Metricality -> Metricality -> Bool)
-> (Metricality -> Metricality -> Bool)
-> (Metricality -> Metricality -> Bool)
-> (Metricality -> Metricality -> Metricality)
-> (Metricality -> Metricality -> Metricality)
-> Ord Metricality
Metricality -> Metricality -> Bool
Metricality -> Metricality -> Ordering
Metricality -> Metricality -> Metricality
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
min :: Metricality -> Metricality -> Metricality
$cmin :: Metricality -> Metricality -> Metricality
max :: Metricality -> Metricality -> Metricality
$cmax :: Metricality -> Metricality -> Metricality
>= :: Metricality -> Metricality -> Bool
$c>= :: Metricality -> Metricality -> Bool
> :: Metricality -> Metricality -> Bool
$c> :: Metricality -> Metricality -> Bool
<= :: Metricality -> Metricality -> Bool
$c<= :: Metricality -> Metricality -> Bool
< :: Metricality -> Metricality -> Bool
$c< :: Metricality -> Metricality -> Bool
compare :: Metricality -> Metricality -> Ordering
$ccompare :: Metricality -> Metricality -> Ordering
$cp1Ord :: Eq Metricality
Ord, Typeable Metricality
DataType
Constr
Typeable Metricality
-> (forall (c :: Type -> Type).
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g) -> Metricality -> c Metricality)
-> (forall (c :: Type -> Type).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c Metricality)
-> (Metricality -> Constr)
-> (Metricality -> DataType)
-> (forall (t :: Type -> Type) (c :: Type -> Type).
Typeable t =>
(forall d. Data d => c (t d)) -> Maybe (c Metricality))
-> (forall (t :: Type -> Type -> Type) (c :: Type -> Type).
Typeable t =>
(forall d e. (Data d, Data e) => c (t d e))
-> Maybe (c Metricality))
-> ((forall b. Data b => b -> b) -> Metricality -> Metricality)
-> (forall r r'.
(r -> r' -> r)
-> r -> (forall d. Data d => d -> r') -> Metricality -> r)
-> (forall r r'.
(r' -> r -> r)
-> r -> (forall d. Data d => d -> r') -> Metricality -> r)
-> (forall u. (forall d. Data d => d -> u) -> Metricality -> [u])
-> (forall u.
Int -> (forall d. Data d => d -> u) -> Metricality -> u)
-> (forall (m :: Type -> Type).
Monad m =>
(forall d. Data d => d -> m d) -> Metricality -> m Metricality)
-> (forall (m :: Type -> Type).
MonadPlus m =>
(forall d. Data d => d -> m d) -> Metricality -> m Metricality)
-> (forall (m :: Type -> Type).
MonadPlus m =>
(forall d. Data d => d -> m d) -> Metricality -> m Metricality)
-> Data Metricality
Metricality -> DataType
Metricality -> Constr
(forall b. Data b => b -> b) -> Metricality -> Metricality
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g) -> Metricality -> c Metricality
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c Metricality
forall a.
Typeable a
-> (forall (c :: Type -> Type).
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g) -> a -> c a)
-> (forall (c :: Type -> Type).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c a)
-> (a -> Constr)
-> (a -> DataType)
-> (forall (t :: Type -> Type) (c :: Type -> Type).
Typeable t =>
(forall d. Data d => c (t d)) -> Maybe (c a))
-> (forall (t :: Type -> Type -> Type) (c :: Type -> Type).
Typeable t =>
(forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c a))
-> ((forall b. Data b => b -> b) -> a -> a)
-> (forall r r'.
(r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> a -> r)
-> (forall r r'.
(r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> a -> r)
-> (forall u. (forall d. Data d => d -> u) -> a -> [u])
-> (forall u. Int -> (forall d. Data d => d -> u) -> a -> u)
-> (forall (m :: Type -> Type).
Monad m =>
(forall d. Data d => d -> m d) -> a -> m a)
-> (forall (m :: Type -> Type).
MonadPlus m =>
(forall d. Data d => d -> m d) -> a -> m a)
-> (forall (m :: Type -> Type).
MonadPlus m =>
(forall d. Data d => d -> m d) -> a -> m a)
-> Data a
forall u. Int -> (forall d. Data d => d -> u) -> Metricality -> u
forall u. (forall d. Data d => d -> u) -> Metricality -> [u]
forall r r'.
(r -> r' -> r)
-> r -> (forall d. Data d => d -> r') -> Metricality -> r
forall r r'.
(r' -> r -> r)
-> r -> (forall d. Data d => d -> r') -> Metricality -> r
forall (m :: Type -> Type).
Monad m =>
(forall d. Data d => d -> m d) -> Metricality -> m Metricality
forall (m :: Type -> Type).
MonadPlus m =>
(forall d. Data d => d -> m d) -> Metricality -> m Metricality
forall (c :: Type -> Type).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c Metricality
forall (c :: Type -> Type).
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g) -> Metricality -> c Metricality
forall (t :: Type -> Type) (c :: Type -> Type).
Typeable t =>
(forall d. Data d => c (t d)) -> Maybe (c Metricality)
forall (t :: Type -> Type -> Type) (c :: Type -> Type).
Typeable t =>
(forall d e. (Data d, Data e) => c (t d e))
-> Maybe (c Metricality)
$cNonMetric :: Constr
$cMetric :: Constr
$tMetricality :: DataType
gmapMo :: (forall d. Data d => d -> m d) -> Metricality -> m Metricality
$cgmapMo :: forall (m :: Type -> Type).
MonadPlus m =>
(forall d. Data d => d -> m d) -> Metricality -> m Metricality
gmapMp :: (forall d. Data d => d -> m d) -> Metricality -> m Metricality
$cgmapMp :: forall (m :: Type -> Type).
MonadPlus m =>
(forall d. Data d => d -> m d) -> Metricality -> m Metricality
gmapM :: (forall d. Data d => d -> m d) -> Metricality -> m Metricality
$cgmapM :: forall (m :: Type -> Type).
Monad m =>
(forall d. Data d => d -> m d) -> Metricality -> m Metricality
gmapQi :: Int -> (forall d. Data d => d -> u) -> Metricality -> u
$cgmapQi :: forall u. Int -> (forall d. Data d => d -> u) -> Metricality -> u
gmapQ :: (forall d. Data d => d -> u) -> Metricality -> [u]
$cgmapQ :: forall u. (forall d. Data d => d -> u) -> Metricality -> [u]
gmapQr :: (r' -> r -> r)
-> r -> (forall d. Data d => d -> r') -> Metricality -> r
$cgmapQr :: forall r r'.
(r' -> r -> r)
-> r -> (forall d. Data d => d -> r') -> Metricality -> r
gmapQl :: (r -> r' -> r)
-> r -> (forall d. Data d => d -> r') -> Metricality -> r
$cgmapQl :: forall r r'.
(r -> r' -> r)
-> r -> (forall d. Data d => d -> r') -> Metricality -> r
gmapT :: (forall b. Data b => b -> b) -> Metricality -> Metricality
$cgmapT :: (forall b. Data b => b -> b) -> Metricality -> Metricality
dataCast2 :: (forall d e. (Data d, Data e) => c (t d e))
-> Maybe (c Metricality)
$cdataCast2 :: forall (t :: Type -> Type -> Type) (c :: Type -> Type).
Typeable t =>
(forall d e. (Data d, Data e) => c (t d e))
-> Maybe (c Metricality)
dataCast1 :: (forall d. Data d => c (t d)) -> Maybe (c Metricality)
$cdataCast1 :: forall (t :: Type -> Type) (c :: Type -> Type).
Typeable t =>
(forall d. Data d => c (t d)) -> Maybe (c Metricality)
dataTypeOf :: Metricality -> DataType
$cdataTypeOf :: Metricality -> DataType
toConstr :: Metricality -> Constr
$ctoConstr :: Metricality -> Constr
gunfold :: (forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c Metricality
$cgunfold :: forall (c :: Type -> Type).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c Metricality
gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g) -> Metricality -> c Metricality
$cgfoldl :: forall (c :: Type -> Type).
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g) -> Metricality -> c Metricality
$cp1Data :: Typeable Metricality
Data, Typeable, (forall x. Metricality -> Rep Metricality x)
-> (forall x. Rep Metricality x -> Metricality)
-> Generic Metricality
forall x. Rep Metricality x -> Metricality
forall x. Metricality -> Rep Metricality x
forall a.
(forall x. a -> Rep a x) -> (forall x. Rep a x -> a) -> Generic a
$cto :: forall x. Rep Metricality x -> Metricality
$cfrom :: forall x. Metricality -> Rep Metricality x
Generic)
instance NFData Metricality where
data Variant = DQuantity E.ExactPi'
| DUnit Metricality
deriving (Typeable, (forall x. Variant -> Rep Variant x)
-> (forall x. Rep Variant x -> Variant) -> Generic Variant
forall x. Rep Variant x -> Variant
forall x. Variant -> Rep Variant x
forall a.
(forall x. a -> Rep a x) -> (forall x. Rep a x -> a) -> Generic a
$cto :: forall x. Rep Variant x -> Variant
$cfrom :: forall x. Variant -> Rep Variant x
Generic)
infixl 7 *
type family (v1 :: Variant) * (v2 :: Variant) :: Variant where
'DUnit m1 * 'DUnit m2 = 'DUnit 'NonMetric
'DQuantity s1 * 'DQuantity s2 = 'DQuantity (s1 E.* s2)
type family (v1 :: Variant) / (v2 :: Variant) :: Variant where
'DUnit m1 / 'DUnit m2 = 'DUnit 'NonMetric
'DQuantity s1 / 'DQuantity s2 = 'DQuantity (s1 E./ s2)
type family Weaken (v :: Variant) :: Variant where
Weaken ('DQuantity s) = 'DQuantity s
Weaken ('DUnit m) = 'DUnit 'NonMetric
type family AreCompatible (v1 :: Variant) (v2 :: Variant) :: Bool where
AreCompatible ('DQuantity s1) ('DQuantity s2) = 'True
AreCompatible ('DUnit m) ('DUnit 'NonMetric) = 'True
AreCompatible s s = 'True
AreCompatible s1 s2 = 'False
type CompatibleVariants v1 v2 = ('True ~ AreCompatible v1 v2)