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module Feldspar.Core.Frontend.Floating where

import qualified Prelude
import Prelude (Float)
import Data.Complex

import Language.Syntactic

import Feldspar.Core.Constructs
import Feldspar.Core.Constructs.Floating
import Feldspar.Core.Frontend.Fractional

-- Make new class, with "Data" in all the types

infixr 8 **

class (Fraction a, Prelude.Floating a) => Floating a where
  pi        :: Data a
  pi        =  sugarSymF Pi
  exp       :: Data a -> Data a
  exp       =  sugarSymF Exp
  sqrt      :: Data a -> Data a
  sqrt      =  sugarSymF Sqrt
  log       :: Data a -> Data a
  log       =  sugarSymF Log
  (**)      :: Data a -> Data a -> Data a
  (**)      =  sugarSymF Pow
  logBase   :: Data a -> Data a -> Data a
  logBase   =  sugarSymF LogBase
  sin       :: Data a -> Data a
  sin       =  sugarSymF Sin
  tan       :: Data a -> Data a
  tan       =  sugarSymF Tan
  cos       :: Data a -> Data a
  cos       =  sugarSymF Cos
  asin      :: Data a -> Data a
  asin      =  sugarSymF Asin
  atan      :: Data a -> Data a
  atan      =  sugarSymF Atan
  acos      :: Data a -> Data a
  acos      =  sugarSymF Acos
  sinh      :: Data a -> Data a
  sinh      =  sugarSymF Sinh
  tanh      :: Data a -> Data a
  tanh      =  sugarSymF Tanh
  cosh      :: Data a -> Data a
  cosh      =  sugarSymF Cosh
  asinh     :: Data a -> Data a
  asinh     =  sugarSymF Asinh
  atanh     :: Data a -> Data a
  atanh     =  sugarSymF Atanh
  acosh     :: Data a -> Data a
  acosh     =  sugarSymF Acosh

instance Floating Float
instance (Fraction a, Prelude.RealFloat a) => Floating (Complex a)