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{-# LANGUAGE UndecidableInstances #-}

module Feldspar.Core.Constructs.SizeProp where



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

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



data PropSize a
  where
    PropSize :: (Type a, Type b) =>
        (Size a -> Size b) -> PropSize (a :-> b :-> Full b)

instance WitnessCons PropSize
  where
    witnessCons (PropSize _) = ConsWit

instance WitnessSat PropSize
  where
    type SatContext PropSize = TypeCtx
    witnessSat (PropSize _)  = SatWit

instance MaybeWitnessSat TypeCtx PropSize
  where
    maybeWitnessSat = maybeWitnessSatDefault

instance Semantic PropSize
  where
    semantics (PropSize _) = Sem "propSize" (const id)

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

instance SizeProp PropSize
  where
    sizeProp (PropSize prop) (WrapFull a :* WrapFull b :* Nil) =
        prop (infoSize a) /\ infoSize b

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

instance (PropSize :<: dom, Optimize dom dom) => Optimize PropSize dom
  where
    constructFeatOpt (PropSize prop) (a :* b :* Nil) =
        return $ updateDecor (f (prop (infoSize $ getInfo a))) b
      where
        f :: Lattice (Size b) => Size b -> Info b -> Info b
        f newSize info = info {infoSize = infoSize info /\ newSize}

    constructFeatUnOpt = constructFeatUnOptDefault