numeric-prelude-0.4.3: An experimental alternative hierarchy of numeric type classes

Safe HaskellNone





class (C a, C a) => C a where Source #

The two classes C and C exist to allow convenient conversions, primarily between the built-in types. They should satisfy

  fromInteger .  toInteger === id
   toRational .  toInteger === toRational

Conversions must be lossless, that is, they do not round in any way. For rounding see Algebra.RealRing.

I think that the RealIntegral superclass is too restrictive. Non-negative numbers are not a ring, but can be easily converted to Integers.

Minimal complete definition



toInteger :: a -> Integer Source #

fromIntegral :: (C a, C b) => a -> b Source #

ringPower :: (C a, C b) => b -> a -> a Source #

A prefix function of '(Algebra.Ring.^)' with a parameter order that fits the needs of partial application and function composition. It has generalised exponent.

See: Argument order of expNat on

fieldPower :: (C a, C b) => b -> a -> a Source #

A prefix function of '(Algebra.Field.^-)'. It has a generalised exponent.

Orphan instances

(C a, C a) => C (T a) Source # 


toRational :: T a -> Rational Source #