-- Extract from a list of type constructors those (1) which need to be vectorised and (2) those
-- that could be, but need not be vectorised (as a scalar representation is sufficient and more
-- efficient).  The type constructors that cannot be vectorised will be dropped.
--
-- A type constructor will only be vectorised if it is
--
-- (1) a data type constructor, with vanilla data constructors (i.e., data constructors admitted by
--     Haskell 98) and
-- (2) at least one of the type constructors that appears in its definition is also vectorised.
--
-- If (1) is met, but not (2), the type constructor may appear in vectorised code, but there is no
-- need to vectorise that type constructor itself.  This holds, for example, for all enumeration
-- types.  As '([::])' is being vectorised, any type constructor whose definition involves
-- '([::])', either directly or indirectly, will be vectorised.

module Vectorise.Type.Classify (
  classifyTyCons
) where

import UniqSet
import UniqFM
import DataCon
import TyCon
import TypeRep
import Type
import PrelNames
import Digraph


-- |From a list of type constructors, extract those that can be vectorised, returning them in two
-- sets, where the first result list /must be/ vectorised and the second result list /need not be/
-- vectorised.  The third result list are those type constructors that we cannot convert (either
-- because they use language extensions or because they dependent on type constructors for which
-- no vectorised version is available).

-- The first argument determines the /conversion status/ of external type constructors as follows:
--
-- * tycons which have converted versions are mapped to 'True'
-- * tycons which are not changed by vectorisation are mapped to 'False'
-- * tycons which can't be converted are not elements of the map
--
classifyTyCons :: UniqFM Bool                     -- ^type constructor conversion status
               -> [TyCon]                         -- ^type constructors that need to be classified
               -> ([TyCon], [TyCon], [TyCon])     -- ^tycons to be converted & not to be converted
classifyTyCons convStatus tcs = classify [] [] [] convStatus (tyConGroups tcs)
  where
    classify conv keep ignored _  [] = (conv, keep, ignored)
    classify conv keep ignored cs ((tcs, ds) : rs)
      | can_convert && must_convert
      = classify (tcs ++ conv) keep ignored (cs `addListToUFM` [(tc, True) | tc <- tcs]) rs
      | can_convert
      = classify conv (tcs ++ keep) ignored (cs `addListToUFM` [(tc, False) | tc <- tcs]) rs
      | otherwise
      = classify conv keep (tcs ++ ignored) cs rs
      where
        refs = ds `delListFromUniqSet` tcs

        can_convert  = (isNullUFM (refs `minusUFM` cs) && all convertable tcs)
                       || isShowClass tcs
        must_convert = foldUFM (||) False (intersectUFM_C const cs refs)
                       && (not . isShowClass $ tcs)

        -- We currently admit Haskell 2011-style data and newtype declarations as well as type
        -- constructors representing classes.
        convertable tc 
          = (isDataTyCon tc || isNewTyCon tc) && all isVanillaDataCon (tyConDataCons tc)
            || isClassTyCon tc
            
        -- !!!FIXME: currently we allow 'Show' in vectorised code without actually providing a
        --   vectorised definition (to be able to vectorise 'Num')
        isShowClass [tc] = tyConName tc == showClassName
        isShowClass _    = False

-- Used to group type constructors into mutually dependent groups.
--
type TyConGroup = ([TyCon], UniqSet TyCon)

-- Compute mutually recursive groups of tycons in topological order.
--
tyConGroups :: [TyCon] -> [TyConGroup]
tyConGroups tcs = map mk_grp (stronglyConnCompFromEdgedVertices edges)
  where
    edges = [((tc, ds), tc, uniqSetToList ds) | tc <- tcs
                                , let ds = tyConsOfTyCon tc]

    mk_grp (AcyclicSCC (tc, ds)) = ([tc], ds)
    mk_grp (CyclicSCC els)       = (tcs, unionManyUniqSets dss)
      where
        (tcs, dss) = unzip els

-- |Collect the set of TyCons used by the representation of some data type.
--
tyConsOfTyCon :: TyCon -> UniqSet TyCon
tyConsOfTyCon = tyConsOfTypes . concatMap dataConRepArgTys . tyConDataCons

-- |Collect the set of TyCons that occur in these types.
--
tyConsOfTypes :: [Type] -> UniqSet TyCon
tyConsOfTypes = unionManyUniqSets . map tyConsOfType

-- |Collect the set of TyCons that occur in this type.
--
tyConsOfType :: Type -> UniqSet TyCon
tyConsOfType ty
  | Just ty' <- coreView ty    = tyConsOfType ty'
tyConsOfType (TyVarTy _)       = emptyUniqSet
tyConsOfType (TyConApp tc tys) = extend (tyConsOfTypes tys)
  where
    extend |  isUnLiftedTyCon tc
           || isTupleTyCon   tc = id

           | otherwise          = (`addOneToUniqSet` tc)

tyConsOfType (AppTy a b)       = tyConsOfType a `unionUniqSets` tyConsOfType b
tyConsOfType (FunTy a b)       = (tyConsOfType a `unionUniqSets` tyConsOfType b)
                                 `addOneToUniqSet` funTyCon
tyConsOfType (ForAllTy _ ty)   = tyConsOfType ty