Data.Number.NatO

The implementations of all functions except for rem, quot, div, mod are supposed to be as non-strict as possible.

Datatype

data NatO

Natural numbers and zero

Constructors

Zero

Constructor representing zero

Nat Nat

A natural number

Instances

Enum NatO

Eq NatO

Integral NatO

Num NatO

Ord NatO

Read NatO

Real NatO

Show NatO

Helper Functions

cmpNatOLT :: NatO -> NatO -> Ordering

This function is used to implement lazy instances of compare and (<), (<=), (>), (>=). It is used to transfer information to more significant bits. Instead of yielding EQ it yields LT if the numbers are equal.

fromNatO :: Num n => NatO -> n

This is used for the implementation of toInteger and fromEnum.

toNatO :: (Integral n, Num n) => n -> NatO

This is used for the implementation of fromInteger and toEnum.

Example Implementations using NatO

length :: [a] -> NatO

take :: NatO -> [a] -> [a]

drop :: NatO -> [a] -> [a]

replicate :: NatO -> a -> [a]

Example Implementations using Num

lengthNum :: (Enum n, Num n) => [a] -> n

takeNum :: (Enum n, Num n) => n -> [a] -> [a]

dropNum :: (Enum n, Num n) => n -> [a] -> [a]

replicateNum :: (Enum n, Num n) => n -> a -> [a]