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Configure special types
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Chris Done
parent
93728e2c31
commit
0d4496a789
205
src/THIH.hs
205
src/THIH.hs
@ -1,3 +1,4 @@
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{-# OPTIONS_GHC -fno-warn-name-shadowing #-}
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{-# LANGUAGE FlexibleInstances #-}
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{-# LANGUAGE LambdaCase #-}
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{-# OPTIONS -Wno-incomplete-patterns #-}
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@ -17,6 +18,8 @@ module THIH
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-- * Setting up
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, addClass
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, addInstance
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, defaultSpecialTypes
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, SpecialTypes(..)
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, ClassEnvironment(..)
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, ReadException(..)
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-- * Printers
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@ -56,6 +59,14 @@ import Data.Typeable
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--------------------------------------------------------------------------------
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-- Types
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data SpecialTypes = SpecialTypes
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{ specialTypesBool :: Type
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, specialTypesChar :: Type
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, specialTypesString :: Type
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, specialTypesFunction :: Type
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, specialTypesList :: Type
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} deriving (Show)
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-- | Type inference monad.
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newtype InferT m a = InferT
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{ runInferT :: StateT InferState m a
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@ -65,6 +76,7 @@ newtype InferT m a = InferT
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data InferState = InferState
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{ inferStateSubstitutions :: ![Substitution]
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, inferStateCounter :: !Int
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, inferStateSpecialTypes :: !SpecialTypes
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} deriving (Show)
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-- | An exception that may be thrown when reading in source code,
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@ -304,6 +316,7 @@ demo = do
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[StarKind]
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(Qualified [] (makeArrow (GenericType 0) (GenericType 0))))
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]
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defaultSpecialTypes
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[ BindGroup
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[ ExplicitlyTypedBinding
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"x"
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@ -336,10 +349,12 @@ demo = do
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]
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]
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]
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mapM_ (putStrLn . printTypeSignature) assumptions
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mapM_ (putStrLn . printTypeSignature defaultSpecialTypes) assumptions
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where
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tInteger :: Type
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tInteger = ConstructorType (TypeConstructor "Integer" StarKind)
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makeArrow :: Type -> Type -> Type
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a `makeArrow` b = ApplicationType (ApplicationType (specialTypesFunction defaultSpecialTypes) a) b
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--------------------------------------------------------------------------------
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-- Printer
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@ -347,12 +362,12 @@ demo = do
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printIdentifier :: Identifier -> String
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printIdentifier (Identifier i) = i
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printTypeSignature :: TypeSignature -> String
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printTypeSignature (TypeSignature identifier scheme) =
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printIdentifier identifier ++ " :: " ++ printScheme scheme
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printTypeSignature :: SpecialTypes -> TypeSignature -> String
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printTypeSignature specialTypes (TypeSignature identifier scheme) =
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printIdentifier identifier ++ " :: " ++ printScheme specialTypes scheme
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printScheme :: Scheme -> [Char]
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printScheme (Forall kinds qualifiedType') =
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printScheme :: SpecialTypes -> Scheme -> [Char]
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printScheme specialTypes (Forall kinds qualifiedType') =
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(if null kinds
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then ""
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else "forall " ++
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@ -364,7 +379,7 @@ printScheme (Forall kinds qualifiedType') =
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[0 :: Int ..]
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kinds) ++
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". ") ++
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printQualifiedType qualifiedType'
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printQualifiedType specialTypes qualifiedType'
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printKind :: Kind -> [Char]
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printKind =
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@ -372,32 +387,32 @@ printKind =
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StarKind -> "*"
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FunctionKind x' y -> printKind x' ++ " -> " ++ printKind y
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printQualifiedType :: Qualified Type -> [Char]
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printQualifiedType (Qualified predicates typ) =
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printQualifiedType :: SpecialTypes -> Qualified Type -> [Char]
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printQualifiedType specialTypes(Qualified predicates typ) =
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case predicates of
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[] -> printTypeSansParens typ
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[] -> printTypeSansParens specialTypes typ
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_ ->
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"(" ++
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intercalate ", " (map printPredicate predicates) ++
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") => " ++ printTypeSansParens typ
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intercalate ", " (map (printPredicate specialTypes) predicates) ++
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") => " ++ printTypeSansParens specialTypes typ
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printTypeSansParens :: Type -> [Char]
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printTypeSansParens =
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printTypeSansParens :: SpecialTypes -> Type -> [Char]
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printTypeSansParens specialTypes =
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\case
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ApplicationType (ApplicationType (ConstructorType (TypeConstructor (Identifier "(->)") _)) x') y' ->
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printType x' ++ " -> " ++ printTypeSansParens y'
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o -> printType o
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ApplicationType (ApplicationType func x') y' | func == specialTypesFunction specialTypes ->
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printType specialTypes x' ++ " -> " ++ printTypeSansParens specialTypes y'
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o -> printType specialTypes o
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printType :: Type -> [Char]
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printType =
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printType :: SpecialTypes -> Type -> [Char]
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printType specialTypes =
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\case
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VariableType v -> printTypeVariable v
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ConstructorType tyCon -> printTypeConstructor tyCon
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ApplicationType (ApplicationType (ConstructorType (TypeConstructor (Identifier "(->)") _)) x') y ->
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"(" ++ printType x' ++ " -> " ++ printTypeSansParens y ++ ")"
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ApplicationType (ConstructorType (TypeConstructor (Identifier "[]") _)) ty ->
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"[" ++ printTypeSansParens ty ++ "]"
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ApplicationType x' y -> "(" ++ printType x' ++ " " ++ printType y ++ ")"
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ApplicationType (ApplicationType func x') y | func == specialTypesFunction specialTypes ->
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"(" ++ printType specialTypes x' ++ " -> " ++ printTypeSansParens specialTypes y ++ ")"
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ApplicationType list ty | list == specialTypesList specialTypes ->
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"[" ++ printTypeSansParens specialTypes ty ++ "]"
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ApplicationType x' y -> "(" ++ printType specialTypes x' ++ " " ++ printType specialTypes y ++ ")"
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GenericType int -> "a" ++ show int
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printTypeConstructor :: TypeConstructor -> String
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@ -412,9 +427,9 @@ printTypeVariable (TypeVariable identifier kind) =
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StarKind -> printIdentifier identifier
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_ -> "(" ++ printIdentifier identifier ++ " :: " ++ printKind kind ++ ")"
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printPredicate :: Predicate -> [Char]
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printPredicate (IsIn identifier types) =
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printIdentifier identifier ++ " " ++ unwords (map printType types)
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printPredicate :: SpecialTypes -> Predicate -> [Char]
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printPredicate specialTypes (IsIn identifier types) =
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printIdentifier identifier ++ " " ++ unwords (map (printType specialTypes) types)
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--------------------------------------------------------------------------------
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-- Type inference
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@ -436,10 +451,11 @@ printPredicate (IsIn identifier types) =
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typeCheckModule
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:: MonadThrow m
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=> ClassEnvironment -- ^ Set of defined type-classes.
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-> [TypeSignature] -- ^ Pre-defined type signatures e.g. for built-ins or FFI.
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-> [BindGroup] -- ^ Bindings in the module.
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-> m [TypeSignature] -- ^ Inferred types for all identifiers.
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typeCheckModule ce as bgs =
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-> [TypeSignature] -- ^ Pre-defined type signatures e.g. for built-ins or FFI.
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-> SpecialTypes -- ^ Special types that Haskell uses for pattern matching and literals.
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-> [BindGroup] -- ^ Bindings in the module.
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-> m [TypeSignature] -- ^ Inferred types for all identifiers.
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typeCheckModule ce as specialTypes bgs =
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evalStateT
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(runInferT $ do
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(ps, as') <- inferSequenceTypes inferBindGroupTypes ce as bgs
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@ -447,54 +463,75 @@ typeCheckModule ce as bgs =
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let rs = reduce ce (map (substitutePredicate s) ps)
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s' <- defaultSubst ce [] rs
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return (map (substituteTypeSignature (s' @@ s)) as'))
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(InferState nullSubst 0)
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(InferState nullSubst 0 specialTypes)
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--------------------------------------------------------------------------------
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-- Built-in types and classes
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boolType :: Type
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boolType = ConstructorType (TypeConstructor "Bool" StarKind)
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-- | Special types that Haskell uses for pattern matching and literals.
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defaultSpecialTypes :: SpecialTypes
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defaultSpecialTypes =
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SpecialTypes
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{ specialTypesBool = ConstructorType (TypeConstructor "Bool" StarKind)
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, specialTypesChar = ConstructorType (TypeConstructor "Char" StarKind)
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, specialTypesString = makeListType (specialTypesChar defaultSpecialTypes)
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, specialTypesFunction =
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ConstructorType
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(TypeConstructor
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"(->)"
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(FunctionKind StarKind (FunctionKind StarKind StarKind)))
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, specialTypesList = listType
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}
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where
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makeListType :: Type -> Type
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makeListType t = ApplicationType listType t
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listType :: Type
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listType =
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ConstructorType (TypeConstructor "[]" (FunctionKind StarKind StarKind))
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charType :: Type
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charType = ConstructorType (TypeConstructor "Char" StarKind)
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-- boolType :: Type
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-- boolType = ConstructorType (TypeConstructor "Bool" StarKind)
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stringType :: Type
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stringType = makeListType charType
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-- charType :: Type
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-- charType = ConstructorType (TypeConstructor "Char" StarKind)
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makeListType :: Type -> Type
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makeListType t = ApplicationType listType t
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-- stringType :: Type
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-- stringType = makeListType charType
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listType :: Type
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listType = ConstructorType (TypeConstructor "[]" (FunctionKind StarKind StarKind))
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-- makeListType :: Type -> Type
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-- makeListType t = ApplicationType listType t
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makeArrow :: Type -> Type -> Type
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a `makeArrow` b = ApplicationType (ApplicationType tArrow a) b
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-- listType :: Type
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-- listType = ConstructorType (TypeConstructor "[]" (FunctionKind StarKind StarKind))
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tArrow :: Type
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tArrow =
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ConstructorType
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(TypeConstructor
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"(->)"
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(FunctionKind StarKind (FunctionKind StarKind StarKind)))
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-- makeArrow :: Type -> Type -> Type
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-- a `makeArrow` b = ApplicationType (ApplicationType tArrow a) b
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numClasses :: [Identifier]
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numClasses =
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["Num", "Integral", "Floating", "Fractional", "Real", "RealFloat", "RealFrac"]
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-- tArrow :: Type
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-- tArrow =
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-- ConstructorType
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-- (TypeConstructor
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-- "(->)"
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-- (FunctionKind StarKind (FunctionKind StarKind StarKind)))
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stdClasses :: [Identifier]
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stdClasses =
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[ "Eq"
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, "Ord"
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, "Show"
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, "Read"
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, "Bounded"
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, "Enum"
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, "Ix"
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, "Functor"
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, "Monad"
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, "MonadPlus"
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] ++
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numClasses
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-- numClasses :: [Identifier]
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-- numClasses =
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-- ["Num", "Integral", "Floating", "Fractional", "Real", "RealFloat", "RealFrac"]
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-- stdClasses :: [Identifier]
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-- stdClasses =
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-- [ "Eq"
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-- , "Ord"
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-- , "Show"
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-- , "Read"
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-- , "Bounded"
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-- , "Enum"
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-- , "Ix"
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-- , "Functor"
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-- , "Monad"
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-- , "MonadPlus"
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-- ] ++
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-- numClasses
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--------------------------------------------------------------------------------
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-- Substitution
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@ -770,13 +807,15 @@ enumId n = Identifier ("v" ++ show n)
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inferLiteralType
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:: Monad m
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=> Literal -> InferT m ([Predicate], Type)
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inferLiteralType (CharacterLiteral _) = return ([], charType)
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inferLiteralType (IntegerLiteral _) = do
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=> SpecialTypes -> Literal -> InferT m ([Predicate], Type)
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inferLiteralType specialTypes (CharacterLiteral _) =
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return ([], specialTypesChar specialTypes)
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inferLiteralType _ (IntegerLiteral _) = do
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v <- newVariableType StarKind
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return ([IsIn "Num" [v]], v)
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inferLiteralType (StringLiteral _) = return ([], stringType)
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inferLiteralType (RationalLiteral _) = do
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inferLiteralType specialTypes (StringLiteral _) =
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return ([], specialTypesString specialTypes)
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inferLiteralType _ (RationalLiteral _) = do
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v <- newVariableType StarKind
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return ([IsIn "Fractional" [v]], v)
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@ -793,12 +832,16 @@ inferPattern (AsPattern i pat) = do
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(ps, as, t) <- inferPattern pat
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return (ps, (TypeSignature i (toScheme t)) : as, t)
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inferPattern (LiteralPattern l) = do
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(ps, t) <- inferLiteralType l
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specialTypes <- InferT (gets inferStateSpecialTypes)
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(ps, t) <- inferLiteralType specialTypes l
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return (ps, [], t)
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inferPattern (ConstructorPattern (TypeSignature _ sc) pats) = do
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(ps, as, ts) <- inferPatterns pats
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t' <- newVariableType StarKind
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(Qualified qs t) <- freshInst sc
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specialTypes <- InferT (gets inferStateSpecialTypes)
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let makeArrow :: Type -> Type -> Type
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a `makeArrow` b = ApplicationType (ApplicationType (specialTypesFunction specialTypes) a) b
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unify t (foldr makeArrow t' ts)
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return (ps ++ qs, as, t')
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inferPattern (LazyPattern pat) = inferPattern pat
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@ -964,12 +1007,16 @@ inferExpressionType _ _ (ConstantExpression (TypeSignature _ sc)) = do
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(Qualified ps t) <- freshInst sc
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return (ps, t)
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inferExpressionType _ _ (LiteralExpression l) = do
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(ps, t) <- inferLiteralType l
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specialTypes <- InferT (gets inferStateSpecialTypes)
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(ps, t) <- inferLiteralType specialTypes l
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return (ps, t)
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inferExpressionType ce as (ApplicationExpression e f) = do
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(ps, te) <- inferExpressionType ce as e
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(qs, tf) <- inferExpressionType ce as f
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t <- newVariableType StarKind
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specialTypes <- InferT (gets inferStateSpecialTypes)
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let makeArrow :: Type -> Type -> Type
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a `makeArrow` b = ApplicationType (ApplicationType (specialTypesFunction specialTypes) a) b
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unify (tf `makeArrow` t) te
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return (ps ++ qs, t)
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inferExpressionType ce as (LetExpression bg e) = do
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@ -979,7 +1026,8 @@ inferExpressionType ce as (LetExpression bg e) = do
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inferExpressionType ce as (LambdaExpression alt) = inferAltType ce as alt
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inferExpressionType ce as (IfExpression e e1 e2) = do
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(ps, t) <- inferExpressionType ce as e
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unify t boolType
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specialTypes <- InferT (gets inferStateSpecialTypes)
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unify t (specialTypesBool specialTypes)
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(ps1, t1) <- inferExpressionType ce as e1
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(ps2, t2) <- inferExpressionType ce as e2
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unify t1 t2
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@ -1005,6 +1053,9 @@ inferAltType
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inferAltType ce as (Alternative pats e) = do
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(ps, as', ts) <- inferPatterns pats
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(qs, t) <- inferExpressionType ce (as' ++ as) e
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specialTypes <- InferT (gets inferStateSpecialTypes)
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let makeArrow :: Type -> Type -> Type
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a `makeArrow` b = ApplicationType (ApplicationType (specialTypesFunction specialTypes) a) b
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return (ps ++ qs, foldr makeArrow t ts)
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inferAltTypes
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@ -1034,8 +1085,8 @@ candidates ce (Ambiguity v qs) =
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| let is = [i | IsIn i _ <- qs]
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ts = [t | IsIn _ t <- qs]
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, all ([VariableType v] ==) ts
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, any (`elem` numClasses) is
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, all (`elem` stdClasses) is
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-- , any (`elem` numClasses) is
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-- , all (`elem` stdClasses) is
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, t' <- classEnvironmentDefaults ce
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, all (entail ce []) [IsIn i [t'] | i <- is]
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]
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