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{-# LANGUAGE UndecidableInstances #-}

module Feldspar.Core.Constructs.Floating
    ( FLOATING (..)
    ) where



import Language.Syntactic
import Language.Syntactic.Interpretation.Semantics
import Language.Syntactic.Constructs.Binding

import Feldspar.Core.Types
import Feldspar.Core.Interpretation



data FLOATING a
  where
    Exp     :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Sqrt    :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Log     :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Pow     :: (Type a, Floating a) => FLOATING (a :-> a :-> Full a)
    LogBase :: (Type a, Floating a) => FLOATING (a :-> a :-> Full a)
    Sin     :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Tan     :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Cos     :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Asin    :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Atan    :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Acos    :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Sinh    :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Tanh    :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Cosh    :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Asinh   :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Atanh   :: (Type a, Floating a) => FLOATING (a :-> Full a)
    Acosh   :: (Type a, Floating a) => FLOATING (a :-> Full a)

instance WitnessCons FLOATING
  where
    witnessCons Exp     = ConsWit
    witnessCons Sqrt    = ConsWit
    witnessCons Log     = ConsWit
    witnessCons Pow     = ConsWit
    witnessCons LogBase = ConsWit
    witnessCons Sin     = ConsWit
    witnessCons Tan     = ConsWit
    witnessCons Cos     = ConsWit
    witnessCons Asin    = ConsWit
    witnessCons Atan    = ConsWit
    witnessCons Acos    = ConsWit
    witnessCons Sinh    = ConsWit
    witnessCons Tanh    = ConsWit
    witnessCons Cosh    = ConsWit
    witnessCons Asinh   = ConsWit
    witnessCons Atanh   = ConsWit
    witnessCons Acosh   = ConsWit

instance WitnessSat FLOATING
  where
    type SatContext FLOATING = TypeCtx
    witnessSat Exp     = SatWit
    witnessSat Sqrt    = SatWit
    witnessSat Log     = SatWit
    witnessSat Pow     = SatWit
    witnessSat LogBase = SatWit
    witnessSat Sin     = SatWit
    witnessSat Tan     = SatWit
    witnessSat Cos     = SatWit
    witnessSat Asin    = SatWit
    witnessSat Atan    = SatWit
    witnessSat Acos    = SatWit
    witnessSat Sinh    = SatWit
    witnessSat Tanh    = SatWit
    witnessSat Cosh    = SatWit
    witnessSat Asinh   = SatWit
    witnessSat Atanh   = SatWit
    witnessSat Acosh   = SatWit

instance MaybeWitnessSat TypeCtx FLOATING
  where
    maybeWitnessSat = maybeWitnessSatDefault

instance Semantic FLOATING
  where
    semantics Exp     = Sem "exp"     Prelude.exp
    semantics Sqrt    = Sem "sqrt"    Prelude.sqrt
    semantics Log     = Sem "log"     Prelude.log
    semantics Pow     = Sem "(**)"    (Prelude.**)
    semantics LogBase = Sem "logBase" Prelude.logBase
    semantics Sin     = Sem "sin"     Prelude.sin
    semantics Tan     = Sem "tan"     Prelude.tan
    semantics Cos     = Sem "cos"     Prelude.cos
    semantics Asin    = Sem "asin"    Prelude.asin
    semantics Atan    = Sem "atan"    Prelude.atan
    semantics Acos    = Sem "acos"    Prelude.acos
    semantics Sinh    = Sem "sinh"    Prelude.sinh
    semantics Tanh    = Sem "tanh"    Prelude.tanh
    semantics Cosh    = Sem "cosh"    Prelude.cosh
    semantics Asinh   = Sem "asinh"   Prelude.asinh
    semantics Atanh   = Sem "atanh"   Prelude.atanh
    semantics Acosh   = Sem "acosh"   Prelude.acosh

instance ExprEq   FLOATING where exprEq = exprEqSem; exprHash = exprHashSem
instance Render   FLOATING where renderPart = renderPartSem
instance ToTree   FLOATING
instance Eval     FLOATING where evaluate = evaluateSem
instance EvalBind FLOATING where evalBindSym = evalBindSymDefault
instance SizeProp FLOATING where sizeProp = sizePropDefault
instance Sharable FLOATING

instance AlphaEq dom dom dom env => AlphaEq FLOATING FLOATING dom env
  where
    alphaEqSym = alphaEqSymDefault

instance (FLOATING :<: dom, Optimize dom dom) => Optimize FLOATING dom
  where
    constructFeatUnOpt = constructFeatUnOptDefault