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

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