Number.Ratio

Ratios of mathematical objects.

Documentation

data T a

Constructors

(:%)

Fields

numerator :: !a

denominator :: !a

Instances

C a => C Integer (T a)

Eq a => Eq (T a)

Integral a => Fractional (T a)

Integral a => Num (T a)

(Ord a, C a) => Ord (T a)

(Read a, C a) => Read (T a)

(Show a, C a) => Show (T a)

(Arbitrary a, C a, C a) => Arbitrary (T a)

(Storable a, C a) => Storable (T a)

(Random a, C a, C a) => Random (T a)

(Ord a, C a) => C (T a)

C a => C (T a)

(C a, C a) => C (T a)

C a => C (T a)

(C a, C a) => C (T a)

C a => C (T a)

(C a, C a) => C (T a)

(C a, C a) => C (T a)

(C a, C a) => C (T a)

(Ord a, C a) => C (T a)

C a => C (T a) (T a)

C a => C (T a) (T a)

C a => C (T a) (T a)

(C a, C a) => Sqr (T a) (T a)

(C a, C a, C a) => C (T a) (T a)

(C a, C a) => C (T a) (T a)

(%) :: C a => a -> a -> T a infixl 7

type Rational = T Integer

fromValue :: C a => a -> T a

recip :: (C a, C a) => T a -> T a

scale :: C a => a -> T a -> T a

split :: C a => T a -> (a, T a)

similar to splitFraction

showsPrecAuto :: (Eq a, C a, Show a) => Int -> T a -> String -> String

This is an alternative show method that is more user-friendly but also potentially more ambigious.

toRational98 :: Integral a => T a -> Ratio a

Necessary when mixing NumericPrelude.Numeric Rationals with Prelude98 Rationals