digit-0.4.0: A data-type representing digits 0-9 and other combinations

Safe HaskellNone
LanguageHaskell2010

Data.Digit.Digit9

Documentation

newtype Digit9 a Source #

Constructors

Digit9 a 

Instances

Monad Digit9 Source # 

Methods

(>>=) :: Digit9 a -> (a -> Digit9 b) -> Digit9 b #

(>>) :: Digit9 a -> Digit9 b -> Digit9 b #

return :: a -> Digit9 a #

fail :: String -> Digit9 a #

Functor Digit9 Source # 

Methods

fmap :: (a -> b) -> Digit9 a -> Digit9 b #

(<$) :: a -> Digit9 b -> Digit9 a #

Applicative Digit9 Source # 

Methods

pure :: a -> Digit9 a #

(<*>) :: Digit9 (a -> b) -> Digit9 a -> Digit9 b #

(*>) :: Digit9 a -> Digit9 b -> Digit9 b #

(<*) :: Digit9 a -> Digit9 b -> Digit9 a #

Foldable Digit9 Source # 

Methods

fold :: Monoid m => Digit9 m -> m #

foldMap :: Monoid m => (a -> m) -> Digit9 a -> m #

foldr :: (a -> b -> b) -> b -> Digit9 a -> b #

foldr' :: (a -> b -> b) -> b -> Digit9 a -> b #

foldl :: (b -> a -> b) -> b -> Digit9 a -> b #

foldl' :: (b -> a -> b) -> b -> Digit9 a -> b #

foldr1 :: (a -> a -> a) -> Digit9 a -> a #

foldl1 :: (a -> a -> a) -> Digit9 a -> a #

toList :: Digit9 a -> [a] #

null :: Digit9 a -> Bool #

length :: Digit9 a -> Int #

elem :: Eq a => a -> Digit9 a -> Bool #

maximum :: Ord a => Digit9 a -> a #

minimum :: Ord a => Digit9 a -> a #

sum :: Num a => Digit9 a -> a #

product :: Num a => Digit9 a -> a #

Traversable Digit9 Source # 

Methods

traverse :: Applicative f => (a -> f b) -> Digit9 a -> f (Digit9 b) #

sequenceA :: Applicative f => Digit9 (f a) -> f (Digit9 a) #

mapM :: Monad m => (a -> m b) -> Digit9 a -> m (Digit9 b) #

sequence :: Monad m => Digit9 (m a) -> m (Digit9 a) #

Traversable1 Digit9 Source # 

Methods

traverse1 :: Apply f => (a -> f b) -> Digit9 a -> f (Digit9 b) #

sequence1 :: Apply f => Digit9 (f b) -> f (Digit9 b) #

Foldable1 Digit9 Source # 

Methods

fold1 :: Semigroup m => Digit9 m -> m #

foldMap1 :: Semigroup m => (a -> m) -> Digit9 a -> m #

toNonEmpty :: Digit9 a -> NonEmpty a #

Bind Digit9 Source # 

Methods

(>>-) :: Digit9 a -> (a -> Digit9 b) -> Digit9 b #

join :: Digit9 (Digit9 a) -> Digit9 a #

Apply Digit9 Source # 

Methods

(<.>) :: Digit9 (a -> b) -> Digit9 a -> Digit9 b #

(.>) :: Digit9 a -> Digit9 b -> Digit9 b #

(<.) :: Digit9 a -> Digit9 b -> Digit9 a #

FunctorWithIndex () Digit9 Source # 

Methods

imap :: (() -> a -> b) -> Digit9 a -> Digit9 b #

imapped :: (Indexable () p, Settable f) => p a (f b) -> Digit9 a -> f (Digit9 b) #

FoldableWithIndex () Digit9 Source # 

Methods

ifoldMap :: Monoid m => (() -> a -> m) -> Digit9 a -> m #

ifolded :: (Indexable () p, Contravariant f, Applicative f) => p a (f a) -> Digit9 a -> f (Digit9 a) #

ifoldr :: (() -> a -> b -> b) -> b -> Digit9 a -> b #

ifoldl :: (() -> b -> a -> b) -> b -> Digit9 a -> b #

ifoldr' :: (() -> a -> b -> b) -> b -> Digit9 a -> b #

ifoldl' :: (() -> b -> a -> b) -> b -> Digit9 a -> b #

TraversableWithIndex () Digit9 Source # 

Methods

itraverse :: Applicative f => (() -> a -> f b) -> Digit9 a -> f (Digit9 b) #

itraversed :: (Indexable () p, Applicative f) => p a (f b) -> Digit9 a -> f (Digit9 b) #

Bounded a => Bounded (Digit9 a) Source # 

Methods

minBound :: Digit9 a #

maxBound :: Digit9 a #

Enum a => Enum (Digit9 a) Source # 

Methods

succ :: Digit9 a -> Digit9 a #

pred :: Digit9 a -> Digit9 a #

toEnum :: Int -> Digit9 a #

fromEnum :: Digit9 a -> Int #

enumFrom :: Digit9 a -> [Digit9 a] #

enumFromThen :: Digit9 a -> Digit9 a -> [Digit9 a] #

enumFromTo :: Digit9 a -> Digit9 a -> [Digit9 a] #

enumFromThenTo :: Digit9 a -> Digit9 a -> Digit9 a -> [Digit9 a] #

Eq a => Eq (Digit9 a) Source # 

Methods

(==) :: Digit9 a -> Digit9 a -> Bool #

(/=) :: Digit9 a -> Digit9 a -> Bool #

Floating a => Floating (Digit9 a) Source # 

Methods

pi :: Digit9 a #

exp :: Digit9 a -> Digit9 a #

log :: Digit9 a -> Digit9 a #

sqrt :: Digit9 a -> Digit9 a #

(**) :: Digit9 a -> Digit9 a -> Digit9 a #

logBase :: Digit9 a -> Digit9 a -> Digit9 a #

sin :: Digit9 a -> Digit9 a #

cos :: Digit9 a -> Digit9 a #

tan :: Digit9 a -> Digit9 a #

asin :: Digit9 a -> Digit9 a #

acos :: Digit9 a -> Digit9 a #

atan :: Digit9 a -> Digit9 a #

sinh :: Digit9 a -> Digit9 a #

cosh :: Digit9 a -> Digit9 a #

tanh :: Digit9 a -> Digit9 a #

asinh :: Digit9 a -> Digit9 a #

acosh :: Digit9 a -> Digit9 a #

atanh :: Digit9 a -> Digit9 a #

log1p :: Digit9 a -> Digit9 a #

expm1 :: Digit9 a -> Digit9 a #

log1pexp :: Digit9 a -> Digit9 a #

log1mexp :: Digit9 a -> Digit9 a #

Fractional a => Fractional (Digit9 a) Source # 

Methods

(/) :: Digit9 a -> Digit9 a -> Digit9 a #

recip :: Digit9 a -> Digit9 a #

fromRational :: Rational -> Digit9 a #

Integral a => Integral (Digit9 a) Source # 

Methods

quot :: Digit9 a -> Digit9 a -> Digit9 a #

rem :: Digit9 a -> Digit9 a -> Digit9 a #

div :: Digit9 a -> Digit9 a -> Digit9 a #

mod :: Digit9 a -> Digit9 a -> Digit9 a #

quotRem :: Digit9 a -> Digit9 a -> (Digit9 a, Digit9 a) #

divMod :: Digit9 a -> Digit9 a -> (Digit9 a, Digit9 a) #

toInteger :: Digit9 a -> Integer #

Num a => Num (Digit9 a) Source # 

Methods

(+) :: Digit9 a -> Digit9 a -> Digit9 a #

(-) :: Digit9 a -> Digit9 a -> Digit9 a #

(*) :: Digit9 a -> Digit9 a -> Digit9 a #

negate :: Digit9 a -> Digit9 a #

abs :: Digit9 a -> Digit9 a #

signum :: Digit9 a -> Digit9 a #

fromInteger :: Integer -> Digit9 a #

Ord a => Ord (Digit9 a) Source # 

Methods

compare :: Digit9 a -> Digit9 a -> Ordering #

(<) :: Digit9 a -> Digit9 a -> Bool #

(<=) :: Digit9 a -> Digit9 a -> Bool #

(>) :: Digit9 a -> Digit9 a -> Bool #

(>=) :: Digit9 a -> Digit9 a -> Bool #

max :: Digit9 a -> Digit9 a -> Digit9 a #

min :: Digit9 a -> Digit9 a -> Digit9 a #

Real a => Real (Digit9 a) Source # 

Methods

toRational :: Digit9 a -> Rational #

RealFloat a => RealFloat (Digit9 a) Source # 
RealFrac a => RealFrac (Digit9 a) Source # 

Methods

properFraction :: Integral b => Digit9 a -> (b, Digit9 a) #

truncate :: Integral b => Digit9 a -> b #

round :: Integral b => Digit9 a -> b #

ceiling :: Integral b => Digit9 a -> b #

floor :: Integral b => Digit9 a -> b #

Show a => Show (Digit9 a) Source # 

Methods

showsPrec :: Int -> Digit9 a -> ShowS #

show :: Digit9 a -> String #

showList :: [Digit9 a] -> ShowS #

Semigroup a => Semigroup (Digit9 a) Source # 

Methods

(<>) :: Digit9 a -> Digit9 a -> Digit9 a #

sconcat :: NonEmpty (Digit9 a) -> Digit9 a #

stimes :: Integral b => b -> Digit9 a -> Digit9 a #

Monoid a => Monoid (Digit9 a) Source # 

Methods

mempty :: Digit9 a #

mappend :: Digit9 a -> Digit9 a -> Digit9 a #

mconcat :: [Digit9 a] -> Digit9 a #

Ixed (Digit9 a) Source # 

Methods

ix :: Index (Digit9 a) -> Traversal' (Digit9 a) (IxValue (Digit9 a)) #

Wrapped (Digit9 a0) Source # 

Associated Types

type Unwrapped (Digit9 a0) :: * #

Methods

_Wrapped' :: Iso' (Digit9 a0) (Unwrapped (Digit9 a0)) #

D9 a => D9 (Digit9 a) Source # 

Methods

d9 :: Prism' (Digit9 a) () Source #

x9 :: Digit9 a Source #

(~) * (Digit9 a0) t0 => Rewrapped (Digit9 a1) t0 Source # 
Each (Digit9 a) (Digit9 b) a b Source # 

Methods

each :: Traversal (Digit9 a) (Digit9 b) a b #

Field1 (Digit9 a) (Digit9 b) a b Source # 

Methods

_1 :: Lens (Digit9 a) (Digit9 b) a b #

type Index (Digit9 a) Source # 
type Index (Digit9 a) = ()
type IxValue (Digit9 a) Source # 
type IxValue (Digit9 a) = a
type Unwrapped (Digit9 a0) Source # 
type Unwrapped (Digit9 a0) = a0