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module Feldspar.Core.Frontend.Fractional
where

import Data.Complex

import Language.Syntactic

import Feldspar.Core.Types
import Feldspar.Core.Constructs
import Feldspar.Core.Constructs.Fractional

import Feldspar.Core.Frontend.Literal
import Feldspar.Core.Frontend.Num

-- | Fractional types. The relation to the standard 'Fractional' class is
--
-- @instance `Fration` a => `Fractional` (`Data` a)@
class (Fractional a, Numeric a) => Fraction a
  where
    fromRationalFrac :: Rational -> Data a
    fromRationalFrac = value . fromRational

    divFrac :: Data a -> Data a -> Data a
    divFrac = sugarSym DivFrac

instance Fraction Float

instance (Fraction a, RealFloat a) => Fraction (Complex a)

instance (Fraction a) => Fractional (Data a)
  where
    fromRational = fromRationalFrac
    (/)          = divFrac