Copyright	Copyright (C) 2006-2015 Bjorn Buckwalter
License	BSD3
Maintainer	bjorn@buckwalter.se
Stability	Stable
Portability	GHC only
Safe Haskell	Safe
Language	Haskell2010
Extensions	MonoLocalBinds TypeFamilies DataKinds DeriveDataTypeable AutoDeriveTypeable DeriveGeneric KindSignatures TypeOperators ExplicitNamespaces

Numeric.Units.Dimensional.Variants

Description

Provides a type level representation of Variants of dimensional values, which may be quantities or units.

Synopsis

Documentation

data Variant Source #

The kind of variants of dimensional values.

Constructors

DQuantity	The value is a quantity.
DUnit Metricality	The value is a unit, possibly a `Metric` unit.

Instances

Eq Variant Source #
Methods (==) :: Variant -> Variant -> Bool # (/=) :: Variant -> Variant -> Bool #
Data Variant Source #
Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Variant -> c Variant # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Variant # toConstr :: Variant -> Constr # dataTypeOf :: Variant -> DataType # dataCast1 :: Typeable (* -> ) t => (forall d. Data d => c (t d)) -> Maybe (c Variant) # dataCast2 :: Typeable ( -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Variant) # gmapT :: (forall b. Data b => b -> b) -> Variant -> Variant # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Variant -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Variant -> r # gmapQ :: (forall d. Data d => d -> u) -> Variant -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Variant -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Variant -> m Variant # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Variant -> m Variant # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Variant -> m Variant #
Ord Variant Source #
Methods compare :: Variant -> Variant -> Ordering # (<) :: Variant -> Variant -> Bool # (<=) :: Variant -> Variant -> Bool # (>) :: Variant -> Variant -> Bool # (>=) :: Variant -> Variant -> Bool # max :: Variant -> Variant -> Variant # min :: Variant -> Variant -> Variant #
Generic Variant Source #
Associated Types type Rep Variant :: * -> * # Methods from :: Variant -> Rep Variant x # to :: Rep Variant x -> Variant #
type Rep Variant Source #
type Rep Variant = D1 (MetaData "Variant" "Numeric.Units.Dimensional.Variants" "dimensional-1.0.1.3-GLZTpwvd0sh1kPDcg3GWkB" False) ((:+:) (C1 (MetaCons "DQuantity" PrefixI False) U1) (C1 (MetaCons "DUnit" PrefixI False) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Metricality))))

data Metricality Source #

Encodes whether a unit is a metric unit, that is, whether it can be combined with a metric prefix to form a related unit.

Constructors

Metric	Capable of receiving a metric prefix.
NonMetric	Incapable of receiving a metric prefix.

Instances

Eq Metricality Source #
Methods (==) :: Metricality -> Metricality -> Bool # (/=) :: Metricality -> Metricality -> Bool #
Data Metricality Source #
Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Metricality -> c Metricality # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Metricality # toConstr :: Metricality -> Constr # dataTypeOf :: Metricality -> DataType # dataCast1 :: Typeable (* -> ) t => (forall d. Data d => c (t d)) -> Maybe (c Metricality) # dataCast2 :: Typeable ( -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Metricality) # gmapT :: (forall b. Data b => b -> b) -> Metricality -> Metricality # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Metricality -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Metricality -> r # gmapQ :: (forall d. Data d => d -> u) -> Metricality -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Metricality -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Metricality -> m Metricality # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Metricality -> m Metricality # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Metricality -> m Metricality #
Ord Metricality Source #
Methods compare :: Metricality -> Metricality -> Ordering # (<) :: Metricality -> Metricality -> Bool # (<=) :: Metricality -> Metricality -> Bool # (>) :: Metricality -> Metricality -> Bool # (>=) :: Metricality -> Metricality -> Bool # max :: Metricality -> Metricality -> Metricality # min :: Metricality -> Metricality -> Metricality #
Generic Metricality Source #
Associated Types type Rep Metricality :: * -> * # Methods from :: Metricality -> Rep Metricality x # to :: Rep Metricality x -> Metricality #
type Rep Metricality Source #
type Rep Metricality = D1 (MetaData "Metricality" "Numeric.Units.Dimensional.Variants" "dimensional-1.0.1.3-GLZTpwvd0sh1kPDcg3GWkB" False) ((:+:) (C1 (MetaCons "Metric" PrefixI False) U1) (C1 (MetaCons "NonMetric" PrefixI False) U1))

type family (v1 :: Variant) * (v2 :: Variant) :: Variant where ... infixl 7 Source #

Forms the product of two Variants.

The product of units is a non-metric unit.

The product of quantities is a quantity.

Equations

(DUnit m1) * (DUnit m2) = DUnit NonMetric
DQuantity * DQuantity = DQuantity

type family Weaken (v :: Variant) :: Variant where ... Source #

Weakens a Variant by forgetting possibly uninteresting type-level information.

Equations

Weaken DQuantity = DQuantity
Weaken (DUnit m) = DUnit NonMetric