Factor.Gaussian

Documentation

data Gaussian

Constructors

Gaussian Integer Integer

Instances

Eq Gaussian

Defined in Factor.Gaussian

Methods

(==) :: Gaussian -> Gaussian -> Bool

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

Ord Gaussian

Defined in Factor.Gaussian

Methods

compare :: Gaussian -> Gaussian -> Ordering

(<) :: Gaussian -> Gaussian -> Bool

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

(>) :: Gaussian -> Gaussian -> Bool

(>=) :: Gaussian -> Gaussian -> Bool

max :: Gaussian -> Gaussian -> Gaussian

min :: Gaussian -> Gaussian -> Gaussian

Show Gaussian

Defined in Factor.Gaussian

Methods

showsPrec :: Int -> Gaussian -> ShowS

show :: Gaussian -> String

showList :: [Gaussian] -> ShowS

real :: Integer -> Gaussian

imaginary :: Integer -> Gaussian

zero :: Gaussian

one :: Gaussian

negate :: Gaussian -> Gaussian

add :: Gaussian -> Gaussian -> Gaussian

subtract :: Gaussian -> Gaussian -> Gaussian

multiply :: Gaussian -> Gaussian -> Gaussian

norm :: Gaussian -> Integer

division :: Gaussian -> Gaussian -> (Gaussian, Gaussian)

quotient :: Gaussian -> Gaussian -> Gaussian

remainder :: Gaussian -> Gaussian -> Gaussian

divides :: Gaussian -> Gaussian -> Bool

egcd :: Gaussian -> Gaussian -> (Gaussian, (Gaussian, Gaussian))

gcd :: Gaussian -> Gaussian -> Gaussian