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

Safe HaskellNone
LanguageHaskell2010

Data.Digit.Digit1

Documentation

newtype Digit1 a Source #

Constructors

Digit1 a 

Instances

Monad Digit1 Source # 

Methods

(>>=) :: Digit1 a -> (a -> Digit1 b) -> Digit1 b #

(>>) :: Digit1 a -> Digit1 b -> Digit1 b #

return :: a -> Digit1 a #

fail :: String -> Digit1 a #

Functor Digit1 Source # 

Methods

fmap :: (a -> b) -> Digit1 a -> Digit1 b #

(<$) :: a -> Digit1 b -> Digit1 a #

Applicative Digit1 Source # 

Methods

pure :: a -> Digit1 a #

(<*>) :: Digit1 (a -> b) -> Digit1 a -> Digit1 b #

(*>) :: Digit1 a -> Digit1 b -> Digit1 b #

(<*) :: Digit1 a -> Digit1 b -> Digit1 a #

Foldable Digit1 Source # 

Methods

fold :: Monoid m => Digit1 m -> m #

foldMap :: Monoid m => (a -> m) -> Digit1 a -> m #

foldr :: (a -> b -> b) -> b -> Digit1 a -> b #

foldr' :: (a -> b -> b) -> b -> Digit1 a -> b #

foldl :: (b -> a -> b) -> b -> Digit1 a -> b #

foldl' :: (b -> a -> b) -> b -> Digit1 a -> b #

foldr1 :: (a -> a -> a) -> Digit1 a -> a #

foldl1 :: (a -> a -> a) -> Digit1 a -> a #

toList :: Digit1 a -> [a] #

null :: Digit1 a -> Bool #

length :: Digit1 a -> Int #

elem :: Eq a => a -> Digit1 a -> Bool #

maximum :: Ord a => Digit1 a -> a #

minimum :: Ord a => Digit1 a -> a #

sum :: Num a => Digit1 a -> a #

product :: Num a => Digit1 a -> a #

Traversable Digit1 Source # 

Methods

traverse :: Applicative f => (a -> f b) -> Digit1 a -> f (Digit1 b) #

sequenceA :: Applicative f => Digit1 (f a) -> f (Digit1 a) #

mapM :: Monad m => (a -> m b) -> Digit1 a -> m (Digit1 b) #

sequence :: Monad m => Digit1 (m a) -> m (Digit1 a) #

Traversable1 Digit1 Source # 

Methods

traverse1 :: Apply f => (a -> f b) -> Digit1 a -> f (Digit1 b) #

sequence1 :: Apply f => Digit1 (f b) -> f (Digit1 b) #

Foldable1 Digit1 Source # 

Methods

fold1 :: Semigroup m => Digit1 m -> m #

foldMap1 :: Semigroup m => (a -> m) -> Digit1 a -> m #

toNonEmpty :: Digit1 a -> NonEmpty a #

Bind Digit1 Source # 

Methods

(>>-) :: Digit1 a -> (a -> Digit1 b) -> Digit1 b #

join :: Digit1 (Digit1 a) -> Digit1 a #

Apply Digit1 Source # 

Methods

(<.>) :: Digit1 (a -> b) -> Digit1 a -> Digit1 b #

(.>) :: Digit1 a -> Digit1 b -> Digit1 b #

(<.) :: Digit1 a -> Digit1 b -> Digit1 a #

FunctorWithIndex () Digit1 Source # 

Methods

imap :: (() -> a -> b) -> Digit1 a -> Digit1 b #

imapped :: (Indexable () p, Settable f) => p a (f b) -> Digit1 a -> f (Digit1 b) #

FoldableWithIndex () Digit1 Source # 

Methods

ifoldMap :: Monoid m => (() -> a -> m) -> Digit1 a -> m #

ifolded :: (Indexable () p, Contravariant f, Applicative f) => p a (f a) -> Digit1 a -> f (Digit1 a) #

ifoldr :: (() -> a -> b -> b) -> b -> Digit1 a -> b #

ifoldl :: (() -> b -> a -> b) -> b -> Digit1 a -> b #

ifoldr' :: (() -> a -> b -> b) -> b -> Digit1 a -> b #

ifoldl' :: (() -> b -> a -> b) -> b -> Digit1 a -> b #

TraversableWithIndex () Digit1 Source # 

Methods

itraverse :: Applicative f => (() -> a -> f b) -> Digit1 a -> f (Digit1 b) #

itraversed :: (Indexable () p, Applicative f) => p a (f b) -> Digit1 a -> f (Digit1 b) #

Bounded a => Bounded (Digit1 a) Source # 

Methods

minBound :: Digit1 a #

maxBound :: Digit1 a #

Enum a => Enum (Digit1 a) Source # 

Methods

succ :: Digit1 a -> Digit1 a #

pred :: Digit1 a -> Digit1 a #

toEnum :: Int -> Digit1 a #

fromEnum :: Digit1 a -> Int #

enumFrom :: Digit1 a -> [Digit1 a] #

enumFromThen :: Digit1 a -> Digit1 a -> [Digit1 a] #

enumFromTo :: Digit1 a -> Digit1 a -> [Digit1 a] #

enumFromThenTo :: Digit1 a -> Digit1 a -> Digit1 a -> [Digit1 a] #

Eq a => Eq (Digit1 a) Source # 

Methods

(==) :: Digit1 a -> Digit1 a -> Bool #

(/=) :: Digit1 a -> Digit1 a -> Bool #

Floating a => Floating (Digit1 a) Source # 

Methods

pi :: Digit1 a #

exp :: Digit1 a -> Digit1 a #

log :: Digit1 a -> Digit1 a #

sqrt :: Digit1 a -> Digit1 a #

(**) :: Digit1 a -> Digit1 a -> Digit1 a #

logBase :: Digit1 a -> Digit1 a -> Digit1 a #

sin :: Digit1 a -> Digit1 a #

cos :: Digit1 a -> Digit1 a #

tan :: Digit1 a -> Digit1 a #

asin :: Digit1 a -> Digit1 a #

acos :: Digit1 a -> Digit1 a #

atan :: Digit1 a -> Digit1 a #

sinh :: Digit1 a -> Digit1 a #

cosh :: Digit1 a -> Digit1 a #

tanh :: Digit1 a -> Digit1 a #

asinh :: Digit1 a -> Digit1 a #

acosh :: Digit1 a -> Digit1 a #

atanh :: Digit1 a -> Digit1 a #

log1p :: Digit1 a -> Digit1 a #

expm1 :: Digit1 a -> Digit1 a #

log1pexp :: Digit1 a -> Digit1 a #

log1mexp :: Digit1 a -> Digit1 a #

Fractional a => Fractional (Digit1 a) Source # 

Methods

(/) :: Digit1 a -> Digit1 a -> Digit1 a #

recip :: Digit1 a -> Digit1 a #

fromRational :: Rational -> Digit1 a #

Integral a => Integral (Digit1 a) Source # 

Methods

quot :: Digit1 a -> Digit1 a -> Digit1 a #

rem :: Digit1 a -> Digit1 a -> Digit1 a #

div :: Digit1 a -> Digit1 a -> Digit1 a #

mod :: Digit1 a -> Digit1 a -> Digit1 a #

quotRem :: Digit1 a -> Digit1 a -> (Digit1 a, Digit1 a) #

divMod :: Digit1 a -> Digit1 a -> (Digit1 a, Digit1 a) #

toInteger :: Digit1 a -> Integer #

Num a => Num (Digit1 a) Source # 

Methods

(+) :: Digit1 a -> Digit1 a -> Digit1 a #

(-) :: Digit1 a -> Digit1 a -> Digit1 a #

(*) :: Digit1 a -> Digit1 a -> Digit1 a #

negate :: Digit1 a -> Digit1 a #

abs :: Digit1 a -> Digit1 a #

signum :: Digit1 a -> Digit1 a #

fromInteger :: Integer -> Digit1 a #

Ord a => Ord (Digit1 a) Source # 

Methods

compare :: Digit1 a -> Digit1 a -> Ordering #

(<) :: Digit1 a -> Digit1 a -> Bool #

(<=) :: Digit1 a -> Digit1 a -> Bool #

(>) :: Digit1 a -> Digit1 a -> Bool #

(>=) :: Digit1 a -> Digit1 a -> Bool #

max :: Digit1 a -> Digit1 a -> Digit1 a #

min :: Digit1 a -> Digit1 a -> Digit1 a #

Real a => Real (Digit1 a) Source # 

Methods

toRational :: Digit1 a -> Rational #

RealFloat a => RealFloat (Digit1 a) Source # 
RealFrac a => RealFrac (Digit1 a) Source # 

Methods

properFraction :: Integral b => Digit1 a -> (b, Digit1 a) #

truncate :: Integral b => Digit1 a -> b #

round :: Integral b => Digit1 a -> b #

ceiling :: Integral b => Digit1 a -> b #

floor :: Integral b => Digit1 a -> b #

Show a => Show (Digit1 a) Source # 

Methods

showsPrec :: Int -> Digit1 a -> ShowS #

show :: Digit1 a -> String #

showList :: [Digit1 a] -> ShowS #

Semigroup a => Semigroup (Digit1 a) Source # 

Methods

(<>) :: Digit1 a -> Digit1 a -> Digit1 a #

sconcat :: NonEmpty (Digit1 a) -> Digit1 a #

stimes :: Integral b => b -> Digit1 a -> Digit1 a #

Monoid a => Monoid (Digit1 a) Source # 

Methods

mempty :: Digit1 a #

mappend :: Digit1 a -> Digit1 a -> Digit1 a #

mconcat :: [Digit1 a] -> Digit1 a #

Ixed (Digit1 a) Source # 

Methods

ix :: Index (Digit1 a) -> Traversal' (Digit1 a) (IxValue (Digit1 a)) #

Wrapped (Digit1 a0) Source # 

Associated Types

type Unwrapped (Digit1 a0) :: * #

Methods

_Wrapped' :: Iso' (Digit1 a0) (Unwrapped (Digit1 a0)) #

D1 a => D1 (Digit1 a) Source # 

Methods

d1 :: Prism' (Digit1 a) () Source #

x1 :: Digit1 a Source #

(~) * (Digit1 a0) t0 => Rewrapped (Digit1 a1) t0 Source # 
Each (Digit1 a) (Digit1 b) a b Source # 

Methods

each :: Traversal (Digit1 a) (Digit1 b) a b #

Field1 (Digit1 a) (Digit1 b) a b Source # 

Methods

_1 :: Lens (Digit1 a) (Digit1 b) a b #

type Index (Digit1 a) Source # 
type Index (Digit1 a) = ()
type IxValue (Digit1 a) Source # 
type IxValue (Digit1 a) = a
type Unwrapped (Digit1 a0) Source # 
type Unwrapped (Digit1 a0) = a0