Safe Haskell	None
Language	Haskell2010

Agda.Utils.Size

Description

Collection size.

For TermSize see Agda.Syntax.Internal.

Synopsis

class Sized a where
- size :: a -> Int
- natSize :: a -> Peano
data SizedThing a = SizedThing {
- theSize :: !Int
- sizedThing :: a
}
sizeThing :: Sized a => a -> SizedThing a
data Peano
- = Zero
- | Succ Peano

Documentation

class Sized a where Source #

The size of a collection (i.e., its length).

Minimal complete definition

Nothing

Methods

size :: a -> Int Source #

Strict size computation.

Anti-patterns: size xs == n where n is 0, 1 or another number that is likely smaller than size xs. Similar for size xs >= 1 etc. Use natSize instead.

See https://wiki.haskell.org/Haskell_programming_tips#Don.27t_ask_for_the_length_of_a_list_when_you_don.27t_need_it .

default size :: forall (t :: Type -> Type) b. (Foldable t, t b ~ a) => a -> Int Source #

natSize :: a -> Peano Source #

Lazily compute a (possibly infinite) size.

Use when comparing a size against a fixed number.

default natSize :: forall (t :: Type -> Type) b. (Foldable t, t b ~ a) => a -> Peano Source #

Instances

Instances details

Sized ModuleName Source #
Instance details Defined in Agda.Syntax.Abstract.Name Methods size :: ModuleName -> Int Source # natSize :: ModuleName -> Peano Source #
Sized QName Source #
Instance details Defined in Agda.Syntax.Abstract.Name Methods size :: QName -> Int Source # natSize :: QName -> Peano Source #
Sized RawTopLevelModuleName Source #
Instance details Defined in Agda.Syntax.TopLevelModuleName Methods size :: RawTopLevelModuleName -> Int Source # natSize :: RawTopLevelModuleName -> Peano Source #
Sized TopLevelModuleName Source #
Instance details Defined in Agda.Syntax.TopLevelModuleName Methods size :: TopLevelModuleName -> Int Source # natSize :: TopLevelModuleName -> Peano Source #
Sized OccursWhere Source #
Instance details Defined in Agda.TypeChecking.Positivity.Occurrence Methods size :: OccursWhere -> Int Source # natSize :: OccursWhere -> Peano Source #
Sized Permutation Source #
Instance details Defined in Agda.Utils.Permutation Methods size :: Permutation -> Int Source # natSize :: Permutation -> Peano Source #
Sized IntSet Source #
Instance details Defined in Agda.Utils.Size Methods size :: IntSet -> Int Source # natSize :: IntSet -> Peano Source #
Sized a => Sized (Abs a) Source #
Instance details Defined in Agda.Syntax.Internal Methods size :: Abs a -> Int Source # natSize :: Abs a -> Peano Source #
Sized (Tele a) Source #	The size of a telescope is its length (as a list).
Instance details Defined in Agda.Syntax.Internal Methods size :: Tele a -> Int Source # natSize :: Tele a -> Peano Source #
Sized (List1 a) Source #
Instance details Defined in Agda.Utils.Size Methods size :: List1 a -> Int Source # natSize :: List1 a -> Peano Source #
Sized (SizedThing a) Source #	Return the cached size.
Instance details Defined in Agda.Utils.Size Methods size :: SizedThing a -> Int Source # natSize :: SizedThing a -> Peano Source #
Sized (IntMap a) Source #
Instance details Defined in Agda.Utils.Size Methods size :: IntMap a -> Int Source # natSize :: IntMap a -> Peano Source #
Sized (Seq a) Source #
Instance details Defined in Agda.Utils.Size Methods size :: Seq a -> Int Source # natSize :: Seq a -> Peano Source #
Sized (Set a) Source #
Instance details Defined in Agda.Utils.Size Methods size :: Set a -> Int Source # natSize :: Set a -> Peano Source #
Sized (HashSet a) Source #
Instance details Defined in Agda.Utils.Size Methods size :: HashSet a -> Int Source # natSize :: HashSet a -> Peano Source #
Sized [a] Source #
Instance details Defined in Agda.Utils.Size Methods size :: [a] -> Int Source # natSize :: [a] -> Peano Source #
Sized (Map k a) Source #
Instance details Defined in Agda.Utils.Size Methods size :: Map k a -> Int Source # natSize :: Map k a -> Peano Source #
Sized (HashMap k a) Source #
Instance details Defined in Agda.Utils.Size Methods size :: HashMap k a -> Int Source # natSize :: HashMap k a -> Peano Source #

data SizedThing a Source #

Thing decorated with its size. The thing should fit into main memory, thus, the size is an Int.

Constructors

SizedThing
Fields theSize :: !Int sizedThing :: a

Instances

Instances details

Null a => Null (SizedThing a) Source #
Instance details Defined in Agda.Utils.Size Methods empty :: SizedThing a Source # null :: SizedThing a -> Bool Source #
Sized (SizedThing a) Source #	Return the cached size.
Instance details Defined in Agda.Utils.Size Methods size :: SizedThing a -> Int Source # natSize :: SizedThing a -> Peano Source #

sizeThing :: Sized a => a -> SizedThing a Source #

Cache the size of an object.

data Peano Source #

The natural numbers in (lazy) unary notation.

Constructors

Zero
Succ Peano

Instances

Instances details

Data Peano

Instance details

Defined in Data.Peano

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Peano -> c Peano

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Peano

toConstr :: Peano -> Constr

dataTypeOf :: Peano -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Peano)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Peano)

gmapT :: (forall b. Data b => b -> b) -> Peano -> Peano

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Peano -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Peano -> r

gmapQ :: (forall d. Data d => d -> u) -> Peano -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Peano -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Peano -> m Peano

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Peano -> m Peano

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Peano -> m Peano

Bounded Peano

Instance details

Defined in Data.Peano

Methods

minBound :: Peano

maxBound :: Peano

Enum Peano

Instance details

Defined in Data.Peano

Methods

succ :: Peano -> Peano

pred :: Peano -> Peano

toEnum :: Int -> Peano

fromEnum :: Peano -> Int

enumFrom :: Peano -> [Peano]

enumFromThen :: Peano -> Peano -> [Peano]

enumFromTo :: Peano -> Peano -> [Peano]

enumFromThenTo :: Peano -> Peano -> Peano -> [Peano]

Generic Peano

Instance details

Defined in Data.Peano

Associated Types

type Rep Peano
Instance details Defined in Data.Peano type Rep Peano = D1 ('MetaData "Peano" "Data.Peano" "peano-0.1.1.0-CVQTdBlZH8iDU6sb4TdYTM" 'False) (C1 ('MetaCons "Zero" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Succ" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Peano)))

Methods

from :: Peano -> Rep Peano x

to :: Rep Peano x -> Peano

Ix Peano

Instance details

Defined in Data.Peano

Methods

range :: (Peano, Peano) -> [Peano] #

index :: (Peano, Peano) -> Peano -> Int #

unsafeIndex :: (Peano, Peano) -> Peano -> Int

inRange :: (Peano, Peano) -> Peano -> Bool #

rangeSize :: (Peano, Peano) -> Int #

unsafeRangeSize :: (Peano, Peano) -> Int

Num Peano

Instance details

Defined in Data.Peano

Methods

(+) :: Peano -> Peano -> Peano

(-) :: Peano -> Peano -> Peano

(*) :: Peano -> Peano -> Peano

negate :: Peano -> Peano

abs :: Peano -> Peano

signum :: Peano -> Peano

fromInteger :: Integer -> Peano

Read Peano

Instance details

Defined in Data.Peano

Methods

readsPrec :: Int -> ReadS Peano

readList :: ReadS [Peano]

readPrec :: ReadPrec Peano

readListPrec :: ReadPrec [Peano]

Integral Peano

Instance details

Defined in Data.Peano

Methods

quot :: Peano -> Peano -> Peano

rem :: Peano -> Peano -> Peano

div :: Peano -> Peano -> Peano

mod :: Peano -> Peano -> Peano

quotRem :: Peano -> Peano -> (Peano, Peano)

divMod :: Peano -> Peano -> (Peano, Peano)

toInteger :: Peano -> Integer

Real Peano

Instance details

Defined in Data.Peano

Methods

toRational :: Peano -> Rational

Show Peano

Instance details

Defined in Data.Peano

Methods

showsPrec :: Int -> Peano -> ShowS #

show :: Peano -> String #

showList :: [Peano] -> ShowS #

Eq Peano

Instance details

Defined in Data.Peano

Methods

(==) :: Peano -> Peano -> Bool

(/=) :: Peano -> Peano -> Bool

Ord Peano

Instance details

Defined in Data.Peano

Methods

compare :: Peano -> Peano -> Ordering

(<) :: Peano -> Peano -> Bool

(<=) :: Peano -> Peano -> Bool

(>) :: Peano -> Peano -> Bool

(>=) :: Peano -> Peano -> Bool

max :: Peano -> Peano -> Peano

min :: Peano -> Peano -> Peano

type Rep Peano

Instance details

Defined in Data.Peano

type Rep Peano = D1 ('MetaData "Peano" "Data.Peano" "peano-0.1.1.0-CVQTdBlZH8iDU6sb4TdYTM" 'False) (C1 ('MetaCons "Zero" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Succ" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Peano)))