Fractional package:universum

Fractional numbers, supporting real division. The Haskell Report defines no laws for Fractional. However, (+) and (*) are customarily expected to define a division ring and have the following properties:

• recip gives the multiplicative inverse x * recip x = recip x * x = fromInteger 1
• Totality of toRational toRational is total
• Coherence with toRational if the type also implements Real, then fromRational is a left inverse for toRational, i.e. fromRational (toRational i) = i

Note that it isn't customarily expected that a type instance of Fractional implement a field. However, all instances in base do.