    {-# LANGUAGE MagicHash, NoImplicitPrelude, TypeFamilies, UnboxedTuples,
                 MultiParamTypeClasses, RoleAnnotations, CPP, TypeOperators #-}
    -----------------------------------------------------------------------------
    -- |
    -- Module      :  GHC.Types
    -- Copyright   :  (c) The University of Glasgow 2009
    -- License     :  see libraries/ghc-prim/LICENSE
    --
    -- Maintainer  :  cvs-ghc@haskell.org
    -- Stability   :  internal
    -- Portability :  non-portable (GHC Extensions)
    --
    -- GHC type definitions.
    -- Use GHC.Exts from the base package instead of importing this
    -- module directly.
    --
    -----------------------------------------------------------------------------

    module GHC.Types (
            -- Data types that are built-in syntax
            -- They are defined here, but not explicitly exported
            --
            --    Lists:          []( [], (:) )
            --    Type equality:  (~)( Eq# )

            Bool(..), Char(..), Int(..), Word(..),
            Float(..), Double(..),
            Ordering(..), IO(..),
            isTrue#,
            SPEC(..),
            Nat, Symbol,
            type (~~), Coercible,
            TYPE, RuntimeRep(..), Type, type (*), type (★), Constraint,
              -- The historical type * should ideally be written as
              -- `type *`, without the parentheses. But that's a true
              -- pain to parse, and for little gain.
            VecCount(..), VecElem(..),

            -- * Runtime type representation
            Module(..), TrName(..), TyCon(..)
        ) where

    import GHC.Prim

    infixr 5 :

    -- Take note: All types defined here must have associated type representations
    -- defined in Data.Typeable.Internal.
    -- See Note [Representation of types defined in GHC.Types] below.

    {- *********************************************************************
    *                                                                      *
                      Kinds
    *                                                                      *
    ********************************************************************* -}

    -- | The kind of constraints, like @Show a@
    data Constraint

    -- | The kind of types with values. For example @Int :: Type@.
    type Type = TYPE 'PtrRepLifted

    -- | A backward-compatible (pre-GHC 8.0) synonym for 'Type'
    type * = TYPE 'PtrRepLifted

    -- | A unicode backward-compatible (pre-GHC 8.0) synonym for 'Type'
    type ★ = TYPE 'PtrRepLifted

    {- *********************************************************************
    *                                                                      *
                      Nat and Symbol
    *                                                                      *
    ********************************************************************* -}

    -- | (Kind) This is the kind of type-level natural numbers.
    data Nat

    -- | (Kind) This is the kind of type-level symbols.
    -- Declared here because class IP needs it
    data Symbol

    {- *********************************************************************
    *                                                                      *
                      Lists

       NB: lists are built-in syntax, and hence not explicitly exported
    *                                                                      *
    ********************************************************************* -}

    data [] a = [] | a : [a]

    {- *********************************************************************
    *                                                                      *
                      Ordering
    *                                                                      *
    ********************************************************************* -}

    data Ordering = LT | EQ | GT

    {- *********************************************************************
    *                                                                      *
                      Int, Char, Word, Float, Double
    *                                                                      *
    ********************************************************************* -}

    {- | The character type 'Char' is an enumeration whose values represent
    Unicode (or equivalently ISO\/IEC 10646) characters (see
    <http://www.unicode.org/> for details).  This set extends the ISO 8859-1
    (Latin-1) character set (the first 256 characters), which is itself an extension
    of the ASCII character set (the first 128 characters).  A character literal in
    Haskell has type 'Char'.

    To convert a 'Char' to or from the corresponding 'Int' value defined
    by Unicode, use 'Prelude.toEnum' and 'Prelude.fromEnum' from the
    'Prelude.Enum' class respectively (or equivalently 'ord' and 'chr').
    -}
    data {-# CTYPE "HsChar" #-} Char = C# Char#

    -- | A fixed-precision integer type with at least the range @[-2^29 .. 2^29-1]@.
    -- The exact range for a given implementation can be determined by using
    -- 'Prelude.minBound' and 'Prelude.maxBound' from the 'Prelude.Bounded' class.
    data {-# CTYPE "HsInt" #-} Int = I# Int#

    -- |A 'Word' is an unsigned integral type, with the same size as 'Int'.
    data {-# CTYPE "HsWord" #-} Word = W# Word#

    -- | Single-precision floating point numbers.
    -- It is desirable that this type be at least equal in range and precision
    -- to the IEEE single-precision type.
    data {-# CTYPE "HsFloat" #-} Float = F# Float#

    -- | Double-precision floating point numbers.
    -- It is desirable that this type be at least equal in range and precision
    -- to the IEEE double-precision type.
    data {-# CTYPE "HsDouble" #-} Double = D# Double#

    {- *********************************************************************
    *                                                                      *
                        IO
    *                                                                      *
    ********************************************************************* -}

    {- |
    A value of type @'IO' a@ is a computation which, when performed,
    does some I\/O before returning a value of type @a@.

    There is really only one way to \"perform\" an I\/O action: bind it to
    @Main.main@ in your program.  When your program is run, the I\/O will
    be performed.  It isn't possible to perform I\/O from an arbitrary
    function, unless that function is itself in the 'IO' monad and called
    at some point, directly or indirectly, from @Main.main@.

    'IO' is a monad, so 'IO' actions can be combined using either the do-notation
    or the '>>' and '>>=' operations from the 'Monad' class.
    -}
    newtype IO a = IO (State# RealWorld -> (# State# RealWorld, a #))
    type role IO representational

    {- The 'type role' role annotation for IO is redundant but is included
    because this role is significant in the normalisation of FFI
    types. Specifically, if this role were to become nominal (which would
    be very strange, indeed!), changes elsewhere in GHC would be
    necessary. See [FFI type roles] in TcForeign.  -}

    {- *********************************************************************
    *                                                                      *
                        (~) and Coercible

       NB: (~) is built-in syntax, and hence not explicitly exported
    *                                                                      *
    ********************************************************************* -}

    {-
    Note [Kind-changing of (~) and Coercible]
    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    (~) and Coercible are tricky to define. To the user, they must appear as
    constraints, but we cannot define them as such in Haskell. But we also cannot
    just define them only in GHC.Prim (like (->)), because we need a real module
    for them, e.g. to compile the constructor's info table.

    Furthermore the type of MkCoercible cannot be written in Haskell
    (no syntax for ~#R).

    So we define them as regular data types in GHC.Types, and do magic in TysWiredIn,
    inside GHC, to change the kind and type.
    -}

    -- | Lifted, heterogeneous equality. By lifted, we mean that it
    -- can be bogus (deferred type error). By heterogeneous, the two
    -- types @a@ and @b@ might have different kinds. Because @~~@ can
    -- appear unexpectedly in error messages to users who do not care
    -- about the difference between heterogeneous equality @~~@ and
    -- homogeneous equality @~@, this is printed as @~@ unless
    -- @-fprint-equality-relations@ is set.
    class a ~~ b
      -- See also Note [The equality types story] in TysPrim

    -- | @Coercible@ is a two-parameter class that has instances for types @a@ and @b@ if
    --      the compiler can infer that they have the same representation. This class
    --      does not have regular instances; instead they are created on-the-fly during
    --      type-checking. Trying to manually declare an instance of @Coercible@
    --      is an error.
    --
    --      Nevertheless one can pretend that the following three kinds of instances
    --      exist. First, as a trivial base-case:
    --
    --      @instance a a@
    --
    --      Furthermore, for every type constructor there is
    --      an instance that allows to coerce under the type constructor. For
    --      example, let @D@ be a prototypical type constructor (@data@ or
    --      @newtype@) with three type arguments, which have roles @nominal@,
    --      @representational@ resp. @phantom@. Then there is an instance of
    --      the form
    --
    --      @instance Coercible b b\' => Coercible (D a b c) (D a b\' c\')@
    --
    --      Note that the @nominal@ type arguments are equal, the
    --      @representational@ type arguments can differ, but need to have a
    --      @Coercible@ instance themself, and the @phantom@ type arguments can be
    --      changed arbitrarily.
    --
    --      The third kind of instance exists for every @newtype NT = MkNT T@ and
    --      comes in two variants, namely
    --
    --      @instance Coercible a T => Coercible a NT@
    --
    --      @instance Coercible T b => Coercible NT b@
    --
    --      This instance is only usable if the constructor @MkNT@ is in scope.
    --
    --      If, as a library author of a type constructor like @Set a@, you
    --      want to prevent a user of your module to write
    --      @coerce :: Set T -> Set NT@,
    --      you need to set the role of @Set@\'s type parameter to @nominal@,
    --      by writing
    --
    --      @type role Set nominal@
    --
    --      For more details about this feature, please refer to
    --      <http://www.cis.upenn.edu/~eir/papers/2014/coercible/coercible.pdf Safe Coercions>
    --      by Joachim Breitner, Richard A. Eisenberg, Simon Peyton Jones and Stephanie Weirich.
    --
    --      @since 4.7.0.0
    class Coercible a b
      -- See also Note [The equality types story] in TysPrim

    {- *********************************************************************
    *                                                                      *
                       Bool, and isTrue#
    *                                                                      *
    ********************************************************************* -}

    data {-# CTYPE "HsBool" #-} Bool = False | True

    {-# INLINE isTrue# #-}
    -- | Alias for 'tagToEnum#'. Returns True if its parameter is 1# and False
    --   if it is 0#.
    isTrue# :: Int# -> Bool   -- See Note [Optimizing isTrue#]
    isTrue# x = tagToEnum# x

    {- Note [Optimizing isTrue#]
    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    Current definition of isTrue# is a temporary workaround. We would like to
    have functions isTrue# and isFalse# defined like this:

        isTrue# :: Int# -> Bool
        isTrue# 1# = True
        isTrue# _  = False

        isFalse# :: Int# -> Bool
        isFalse# 0# = True
        isFalse# _  = False

    These functions would allow us to safely check if a tag can represent True
    or False. Using isTrue# and isFalse# as defined above will not introduce
    additional case into the code. When we scrutinize return value of isTrue#
    or isFalse#, either explicitly in a case expression or implicitly in a guard,
    the result will always be a single case expression (given that optimizations
    are turned on). This results from case-of-case transformation. Consider this
    code (this is both valid Haskell and Core):

    case isTrue# (a ># b) of
        True  -> e1
        False -> e2

    Inlining isTrue# gives:

    case (case (a ># b) of { 1# -> True; _ -> False } ) of
        True  -> e1
        False -> e2

    Case-of-case transforms that to:

    case (a ># b) of
      1# -> case True of
              True  -> e1
              False -> e2
      _  -> case False of
              True  -> e1
              False -> e2

    Which is then simplified by case-of-known-constructor:

    case (a ># b) of
      1# -> e1
      _  -> e2

    While we get good Core here, the code generator will generate very bad Cmm
    if e1 or e2 do allocation. It will push heap checks into case alternatives
    which results in about 2.5% increase in code size. Until this is improved we
    just make isTrue# an alias to tagToEnum#. This is a temporary solution (if
    you're reading this in 2023 then things went wrong). See #8326.
    -}

    {- *********************************************************************
    *                                                                      *
                        SPEC
    *                                                                      *
    ********************************************************************* -}

    -- | 'SPEC' is used by GHC in the @SpecConstr@ pass in order to inform
    -- the compiler when to be particularly aggressive. In particular, it
    -- tells GHC to specialize regardless of size or the number of
    -- specializations. However, not all loops fall into this category.
    --
    -- Libraries can specify this by using 'SPEC' data type to inform which
    -- loops should be aggressively specialized.
    data SPEC = SPEC | SPEC2

    {- *********************************************************************
    *                                                                      *
                        RuntimeRep
    *                                                                      *
    ********************************************************************* -}

    -- | GHC maintains a property that the kind of all inhabited types
    -- (as distinct from type constructors or type-level data) tells us
    -- the runtime representation of values of that type. This datatype
    -- encodes the choice of runtime value.
    -- Note that 'TYPE' is parameterised by 'RuntimeRep'; this is precisely
    -- what we mean by the fact that a type's kind encodes the runtime
    -- representation.
    --
    -- For boxed values (that is, values that are represented by a pointer),
    -- a further distinction is made, between lifted types (that contain ⊥),
    -- and unlifted ones (that don't).
    data RuntimeRep = VecRep VecCount VecElem   -- ^ a SIMD vector type
                    | PtrRepLifted    -- ^ lifted; represented by a pointer
                    | PtrRepUnlifted  -- ^ unlifted; represented by a pointer
                    | VoidRep         -- ^ erased entirely
                    | IntRep          -- ^ signed, word-sized value
                    | WordRep         -- ^ unsigned, word-sized value
                    | Int64Rep        -- ^ signed, 64-bit value (on 32-bit only)
                    | Word64Rep       -- ^ unsigned, 64-bit value (on 32-bit only)
                    | AddrRep         -- ^ A pointer, but /not/ to a Haskell value
                    | FloatRep        -- ^ a 32-bit floating point number
                    | DoubleRep       -- ^ a 64-bit floating point number
                    | UnboxedTupleRep -- ^ An unboxed tuple; this doesn't specify a concrete rep

    -- See also Note [Wiring in RuntimeRep] in TysWiredIn

    -- | Length of a SIMD vector type
    data VecCount = Vec2
                  | Vec4
                  | Vec8
                  | Vec16
                  | Vec32
                  | Vec64

    -- | Element of a SIMD vector type
    data VecElem = Int8ElemRep
                 | Int16ElemRep
                 | Int32ElemRep
                 | Int64ElemRep
                 | Word8ElemRep
                 | Word16ElemRep
                 | Word32ElemRep
                 | Word64ElemRep
                 | FloatElemRep
                 | DoubleElemRep

    {- *********************************************************************
    *                                                                      *
                 Runtime representation of TyCon
    *                                                                      *
    ********************************************************************* -}

    {- Note [Runtime representation of modules and tycons]
    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    We generate a binding for M.$modName and M.$tcT for every module M and
    data type T.  Things to think about

      - We want them to be economical on space; ideally pure data with no thunks.

      - We do this for every module (except this module GHC.Types), so we can't
        depend on anything else (eg string unpacking code)

    That's why we have these terribly low-level repesentations.  The TrName
    type lets us use the TrNameS constructor when allocating static data;
    but we also need TrNameD for the case where we are deserialising a TyCon
    or Module (for example when deserialising a TypeRep), in which case we
    can't conveniently come up with an Addr#.
    -}

    #include "MachDeps.h"

    data Module = Module
                    TrName   -- Package name
                    TrName   -- Module name

    data TrName
      = TrNameS Addr#  -- Static
      | TrNameD [Char] -- Dynamic

    #if WORD_SIZE_IN_BITS < 64
    data TyCon = TyCon
                    Word64#  Word64#   -- Fingerprint
                    Module             -- Module in which this is defined
                    TrName              -- Type constructor name
    #else
    data TyCon = TyCon
                    Word#    Word#
                    Module
                    TrName
    #endif