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May 13, 2018
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Update Field #170

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15 changes: 5 additions & 10 deletions src/Data/Field.purs
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Original file line number Diff line number Diff line change
Expand Up @@ -15,14 +15,9 @@ import Data.Semiring (class Semiring, add, mul, one, zero, (*), (+))

-- | The `Field` class is for types that are (commutative) fields.
-- |
-- | Instances must satisfy the following law in addition to the
-- | `EuclideanRing` laws:
-- |
-- | - Non-zero multiplicative inverse: ``a `mod` b = zero`` for all `a` and `b`
-- |
-- | If a type has a `Field` instance, it should also have a `DivisionRing`
-- | instance. In a future release, `DivisionRing` may become a superclass of
-- | `Field`.
class EuclideanRing a <= Field a
-- | `Field`s are exactly `EuclideanRing` + `CommutativeRing` so this class
-- | exists as a convenience, so a single constraint can be used when field-like
-- | behaviour is expected.
class (EuclideanRing a, CommutativeRing a) <= Field a

instance fieldNumber :: Field Number
instance fieldNumber :: (EuclideanRing a, CommutativeRing a) => Field a