{-
(c) The University of Glasgow 2006
(c) The GRASP/AQUA Project, Glasgow University, 1992-1998

TcInstDecls: Typechecking instance declarations
-}

{-# LANGUAGE CPP #-}
{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE TypeFamilies #-}

module TcInstDcls ( tcInstDecls1, tcInstDeclsDeriv, tcInstDecls2 ) where

#include "HsVersions.h"

import GhcPrelude

import HsSyn
import TcBinds
import TcTyClsDecls
import TcTyDecls ( addTyConsToGblEnv )
import TcClassDcl( tcClassDecl2, tcATDefault,
                   HsSigFun, mkHsSigFun, badMethodErr,
                   findMethodBind, instantiateMethod )
import TcSigs
import TcRnMonad
import TcValidity
import TcHsSyn
import TcMType
import TcType
import BuildTyCl
import Inst
import ClsInst( AssocInstInfo(..), isNotAssociated )
import InstEnv
import FamInst
import FamInstEnv
import TcDeriv
import TcEnv
import TcHsType
import TcUnify
import CoreSyn    ( Expr(..), mkApps, mkVarApps, mkLams )
import MkCore     ( nO_METHOD_BINDING_ERROR_ID )
import CoreUnfold ( mkInlineUnfoldingWithArity, mkDFunUnfolding )
import Type
import TcEvidence
import TyCon
import CoAxiom
import DataCon
import ConLike
import Class
import Var
import VarEnv
import VarSet
import Bag
import BasicTypes
import DynFlags
import ErrUtils
import FastString
import Id
import ListSetOps
import Name
import NameSet
import Outputable
import SrcLoc
import Util
import BooleanFormula ( isUnsatisfied, pprBooleanFormulaNice )
import qualified GHC.LanguageExtensions as LangExt

import Control.Monad
import Maybes
import Data.List( mapAccumL )

{-
Typechecking instance declarations is done in two passes. The first
pass, made by @tcInstDecls1@, collects information to be used in the
second pass.

This pre-processed info includes the as-yet-unprocessed bindings
inside the instance declaration.  These are type-checked in the second
pass, when the class-instance envs and GVE contain all the info from
all the instance and value decls.  Indeed that's the reason we need
two passes over the instance decls.

Note [How instance declarations are translated]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Here is how we translate instance declarations into Core

Running example:
        class C a where
           op1, op2 :: Ix b => a -> b -> b
           op2 = <dm-rhs>

        instance C a => C [a]
           {-# INLINE [2] op1 #-}
           op1 = <rhs>
===>
        -- Method selectors
        op1,op2 :: forall a. C a => forall b. Ix b => a -> b -> b
        op1 = ...
        op2 = ...

        -- Default methods get the 'self' dictionary as argument
        -- so they can call other methods at the same type
        -- Default methods get the same type as their method selector
        $dmop2 :: forall a. C a => forall b. Ix b => a -> b -> b
        $dmop2 = /\a. \(d:C a). /\b. \(d2: Ix b). <dm-rhs>
               -- NB: type variables 'a' and 'b' are *both* in scope in <dm-rhs>
               -- Note [Tricky type variable scoping]

        -- A top-level definition for each instance method
        -- Here op1_i, op2_i are the "instance method Ids"
        -- The INLINE pragma comes from the user pragma
        {-# INLINE [2] op1_i #-}  -- From the instance decl bindings
        op1_i, op2_i :: forall a. C a => forall b. Ix b => [a] -> b -> b
        op1_i = /\a. \(d:C a).
               let this :: C [a]
                   this = df_i a d
                     -- Note [Subtle interaction of recursion and overlap]

                   local_op1 :: forall b. Ix b => [a] -> b -> b
                   local_op1 = <rhs>
                     -- Source code; run the type checker on this
                     -- NB: Type variable 'a' (but not 'b') is in scope in <rhs>
                     -- Note [Tricky type variable scoping]

               in local_op1 a d

        op2_i = /\a \d:C a. $dmop2 [a] (df_i a d)

        -- The dictionary function itself
        {-# NOINLINE CONLIKE df_i #-}   -- Never inline dictionary functions
        df_i :: forall a. C a -> C [a]
        df_i = /\a. \d:C a. MkC (op1_i a d) (op2_i a d)
                -- But see Note [Default methods in instances]
                -- We can't apply the type checker to the default-method call

        -- Use a RULE to short-circuit applications of the class ops
        {-# RULE "op1@C[a]" forall a, d:C a.
                            op1 [a] (df_i d) = op1_i a d #-}

Note [Instances and loop breakers]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
* Note that df_i may be mutually recursive with both op1_i and op2_i.
  It's crucial that df_i is not chosen as the loop breaker, even
  though op1_i has a (user-specified) INLINE pragma.

* Instead the idea is to inline df_i into op1_i, which may then select
  methods from the MkC record, and thereby break the recursion with
  df_i, leaving a *self*-recursive op1_i.  (If op1_i doesn't call op at
  the same type, it won't mention df_i, so there won't be recursion in
  the first place.)

* If op1_i is marked INLINE by the user there's a danger that we won't
  inline df_i in it, and that in turn means that (since it'll be a
  loop-breaker because df_i isn't), op1_i will ironically never be
  inlined.  But this is OK: the recursion breaking happens by way of
  a RULE (the magic ClassOp rule above), and RULES work inside InlineRule
  unfoldings. See Note [RULEs enabled in SimplGently] in SimplUtils

Note [ClassOp/DFun selection]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
One thing we see a lot is stuff like
    op2 (df d1 d2)
where 'op2' is a ClassOp and 'df' is DFun.  Now, we could inline *both*
'op2' and 'df' to get
     case (MkD ($cop1 d1 d2) ($cop2 d1 d2) ... of
       MkD _ op2 _ _ _ -> op2
And that will reduce to ($cop2 d1 d2) which is what we wanted.

But it's tricky to make this work in practice, because it requires us to
inline both 'op2' and 'df'.  But neither is keen to inline without having
seen the other's result; and it's very easy to get code bloat (from the
big intermediate) if you inline a bit too much.

Instead we use a cunning trick.
 * We arrange that 'df' and 'op2' NEVER inline.

 * We arrange that 'df' is ALWAYS defined in the sylised form
      df d1 d2 = MkD ($cop1 d1 d2) ($cop2 d1 d2) ...

 * We give 'df' a magical unfolding (DFunUnfolding [$cop1, $cop2, ..])
   that lists its methods.

 * We make CoreUnfold.exprIsConApp_maybe spot a DFunUnfolding and return
   a suitable constructor application -- inlining df "on the fly" as it
   were.

 * ClassOp rules: We give the ClassOp 'op2' a BuiltinRule that
   extracts the right piece iff its argument satisfies
   exprIsConApp_maybe.  This is done in MkId mkDictSelId

 * We make 'df' CONLIKE, so that shared uses still match; eg
      let d = df d1 d2
      in ...(op2 d)...(op1 d)...

Note [Single-method classes]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If the class has just one method (or, more accurately, just one element
of {superclasses + methods}), then we use a different strategy.

   class C a where op :: a -> a
   instance C a => C [a] where op = <blah>

We translate the class decl into a newtype, which just gives a
top-level axiom. The "constructor" MkC expands to a cast, as does the
class-op selector.

   axiom Co:C a :: C a ~ (a->a)

   op :: forall a. C a -> (a -> a)
   op a d = d |> (Co:C a)

   MkC :: forall a. (a->a) -> C a
   MkC = /\a.\op. op |> (sym Co:C a)

The clever RULE stuff doesn't work now, because ($df a d) isn't
a constructor application, so exprIsConApp_maybe won't return
Just <blah>.

Instead, we simply rely on the fact that casts are cheap:

   $df :: forall a. C a => C [a]
   {-# INLINE df #-}  -- NB: INLINE this
   $df = /\a. \d. MkC [a] ($cop_list a d)
       = $cop_list |> forall a. C a -> (sym (Co:C [a]))

   $cop_list :: forall a. C a => [a] -> [a]
   $cop_list = <blah>

So if we see
   (op ($df a d))
we'll inline 'op' and '$df', since both are simply casts, and
good things happen.

Why do we use this different strategy?  Because otherwise we
end up with non-inlined dictionaries that look like
    $df = $cop |> blah
which adds an extra indirection to every use, which seems stupid.  See
Trac #4138 for an example (although the regression reported there
wasn't due to the indirection).

There is an awkward wrinkle though: we want to be very
careful when we have
    instance C a => C [a] where
      {-# INLINE op #-}
      op = ...
then we'll get an INLINE pragma on $cop_list but it's important that
$cop_list only inlines when it's applied to *two* arguments (the
dictionary and the list argument).  So we must not eta-expand $df
above.  We ensure that this doesn't happen by putting an INLINE
pragma on the dfun itself; after all, it ends up being just a cast.

There is one more dark corner to the INLINE story, even more deeply
buried.  Consider this (Trac #3772):

    class DeepSeq a => C a where
      gen :: Int -> a

    instance C a => C [a] where
      gen n = ...

    class DeepSeq a where
      deepSeq :: a -> b -> b

    instance DeepSeq a => DeepSeq [a] where
      {-# INLINE deepSeq #-}
      deepSeq xs b = foldr deepSeq b xs

That gives rise to these defns:

    $cdeepSeq :: DeepSeq a -> [a] -> b -> b
    -- User INLINE( 3 args )!
    $cdeepSeq a (d:DS a) b (x:[a]) (y:b) = ...

    $fDeepSeq[] :: DeepSeq a -> DeepSeq [a]
    -- DFun (with auto INLINE pragma)
    $fDeepSeq[] a d = $cdeepSeq a d |> blah

    $cp1 a d :: C a => DeepSep [a]
    -- We don't want to eta-expand this, lest
    -- $cdeepSeq gets inlined in it!
    $cp1 a d = $fDeepSep[] a (scsel a d)

    $fC[] :: C a => C [a]
    -- Ordinary DFun
    $fC[] a d = MkC ($cp1 a d) ($cgen a d)

Here $cp1 is the code that generates the superclass for C [a].  The
issue is this: we must not eta-expand $cp1 either, or else $fDeepSeq[]
and then $cdeepSeq will inline there, which is definitely wrong.  Like
on the dfun, we solve this by adding an INLINE pragma to $cp1.

Note [Subtle interaction of recursion and overlap]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider this
  class C a where { op1,op2 :: a -> a }
  instance C a => C [a] where
    op1 x = op2 x ++ op2 x
    op2 x = ...
  instance C [Int] where
    ...

When type-checking the C [a] instance, we need a C [a] dictionary (for
the call of op2).  If we look up in the instance environment, we find
an overlap.  And in *general* the right thing is to complain (see Note
[Overlapping instances] in InstEnv).  But in *this* case it's wrong to
complain, because we just want to delegate to the op2 of this same
instance.

Why is this justified?  Because we generate a (C [a]) constraint in
a context in which 'a' cannot be instantiated to anything that matches
other overlapping instances, or else we would not be executing this
version of op1 in the first place.

It might even be a bit disguised:

  nullFail :: C [a] => [a] -> [a]
  nullFail x = op2 x ++ op2 x

  instance C a => C [a] where
    op1 x = nullFail x

Precisely this is used in package 'regex-base', module Context.hs.
See the overlapping instances for RegexContext, and the fact that they
call 'nullFail' just like the example above.  The DoCon package also
does the same thing; it shows up in module Fraction.hs.

Conclusion: when typechecking the methods in a C [a] instance, we want to
treat the 'a' as an *existential* type variable, in the sense described
by Note [Binding when looking up instances].  That is why isOverlappableTyVar
responds True to an InstSkol, which is the kind of skolem we use in
tcInstDecl2.

Note [Tricky type variable scoping]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In our example
        class C a where
           op1, op2 :: Ix b => a -> b -> b
           op2 = <dm-rhs>

        instance C a => C [a]
           {-# INLINE [2] op1 #-}
           op1 = <rhs>

note that 'a' and 'b' are *both* in scope in <dm-rhs>, but only 'a' is
in scope in <rhs>.  In particular, we must make sure that 'b' is in
scope when typechecking <dm-rhs>.  This is achieved by subFunTys,
which brings appropriate tyvars into scope. This happens for both
<dm-rhs> and for <rhs>, but that doesn't matter: the *renamer* will have
complained if 'b' is mentioned in <rhs>.

************************************************************************
*                                                                      *
\subsection{Extracting instance decls}
*                                                                      *
************************************************************************

Gather up the instance declarations from their various sources
-}

tcInstDecls1    -- Deal with both source-code and imported instance decls
   :: [LInstDecl GhcRn]         -- Source code instance decls
   -> TcM (TcGblEnv,            -- The full inst env
           [InstInfo GhcRn],    -- Source-code instance decls to process;
                                -- contains all dfuns for this module
           [DerivInfo])         -- From data family instances

tcInstDecls1 inst_decls
  = do {    -- Do class and family instance declarations
       ; stuff <- mapAndRecoverM tcLocalInstDecl inst_decls

       ; let (local_infos_s, fam_insts_s, datafam_deriv_infos) = unzip3 stuff
             fam_insts   = concat fam_insts_s
             local_infos = concat local_infos_s

       ; gbl_env <- addClsInsts local_infos $
                    addFamInsts fam_insts   $
                    getGblEnv

       ; return ( gbl_env
                , local_infos
                , concat datafam_deriv_infos ) }

-- | Use DerivInfo for data family instances (produced by tcInstDecls1),
--   datatype declarations (TyClDecl), and standalone deriving declarations
--   (DerivDecl) to check and process all derived class instances.
tcInstDeclsDeriv
  :: [DerivInfo]
  -> [LTyClDecl GhcRn]
  -> [LDerivDecl GhcRn]
  -> TcM (TcGblEnv, [InstInfo GhcRn], HsValBinds GhcRn)
tcInstDeclsDeriv datafam_deriv_infos tyclds derivds
  = do th_stage <- getStage -- See Note [Deriving inside TH brackets]
       if isBrackStage th_stage
       then do { gbl_env <- getGblEnv
               ; return (gbl_env, bagToList emptyBag, emptyValBindsOut) }
       else do { data_deriv_infos <- mkDerivInfos tyclds
               ; let deriv_infos = datafam_deriv_infos ++ data_deriv_infos
               ; (tcg_env, info_bag, valbinds) <- tcDeriving deriv_infos derivds
               ; return (tcg_env, bagToList info_bag, valbinds) }

addClsInsts :: [InstInfo GhcRn] -> TcM a -> TcM a
addClsInsts infos thing_inside
  = tcExtendLocalInstEnv (map iSpec infos) thing_inside

addFamInsts :: [FamInst] -> TcM a -> TcM a
-- Extend (a) the family instance envt
--        (b) the type envt with stuff from data type decls
addFamInsts fam_insts thing_inside
  = tcExtendLocalFamInstEnv fam_insts $
    tcExtendGlobalEnv axioms          $
    do { traceTc "addFamInsts" (pprFamInsts fam_insts)
       ; gbl_env <- addTyConsToGblEnv data_rep_tycons
                    -- Does not add its axiom; that comes
                    -- from adding the 'axioms' above
       ; setGblEnv gbl_env thing_inside }
  where
    axioms = map (ACoAxiom . toBranchedAxiom . famInstAxiom) fam_insts
    data_rep_tycons = famInstsRepTyCons fam_insts
      -- The representation tycons for 'data instances' declarations

{-
Note [Deriving inside TH brackets]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Given a declaration bracket
  [d| data T = A | B deriving( Show ) |]

there is really no point in generating the derived code for deriving(
Show) and then type-checking it. This will happen at the call site
anyway, and the type check should never fail!  Moreover (Trac #6005)
the scoping of the generated code inside the bracket does not seem to
work out.

The easy solution is simply not to generate the derived instances at
all.  (A less brutal solution would be to generate them with no
bindings.)  This will become moot when we shift to the new TH plan, so
the brutal solution will do.
-}

tcLocalInstDecl :: LInstDecl GhcRn
                -> TcM ([InstInfo GhcRn], [FamInst], [DerivInfo])
        -- A source-file instance declaration
        -- Type-check all the stuff before the "where"
        --
        -- We check for respectable instance type, and context
tcLocalInstDecl (L loc (TyFamInstD { tfid_inst = decl }))
  = do { fam_inst <- tcTyFamInstDecl NotAssociated (L loc decl)
       ; return ([], [fam_inst], []) }

tcLocalInstDecl (L loc (DataFamInstD { dfid_inst = decl }))
  = do { (fam_inst, m_deriv_info) <- tcDataFamInstDecl NotAssociated (L loc decl)
       ; return ([], [fam_inst], maybeToList m_deriv_info) }

tcLocalInstDecl (L loc (ClsInstD { cid_inst = decl }))
  = do { (insts, fam_insts, deriv_infos) <- tcClsInstDecl (L loc decl)
       ; return (insts, fam_insts, deriv_infos) }

tcLocalInstDecl (L _ (XInstDecl _)) = panic "tcLocalInstDecl"

tcClsInstDecl :: LClsInstDecl GhcRn
              -> TcM ([InstInfo GhcRn], [FamInst], [DerivInfo])
-- The returned DerivInfos are for any associated data families
tcClsInstDecl (L loc (ClsInstDecl { cid_poly_ty = hs_ty, cid_binds = binds
                                  , cid_sigs = uprags, cid_tyfam_insts = ats
                                  , cid_overlap_mode = overlap_mode
                                  , cid_datafam_insts = adts }))
  = setSrcSpan loc                      $
    addErrCtxt (instDeclCtxt1 hs_ty)  $
    do  { traceTc "tcLocalInstDecl" (ppr hs_ty)
        ; dfun_ty <- tcHsClsInstType (InstDeclCtxt False) hs_ty
        ; let (tyvars, theta, clas, inst_tys) = tcSplitDFunTy dfun_ty
             -- NB: tcHsClsInstType does checkValidInstance

        ; (subst, skol_tvs) <- tcInstSkolTyVars tyvars
        ; let tv_skol_prs = [ (tyVarName tv, skol_tv)
                            | (tv, skol_tv) <- tyvars `zip` skol_tvs ]
              n_inferred = countWhile ((== Inferred) . binderArgFlag) $
                           fst $ splitForAllVarBndrs dfun_ty
              visible_skol_tvs = drop n_inferred skol_tvs

        ; traceTc "tcLocalInstDecl 1" (ppr dfun_ty $$ ppr (invisibleTyBndrCount dfun_ty) $$ ppr skol_tvs)

        -- Next, process any associated types.
        ; (datafam_stuff, tyfam_insts)
             <- tcExtendNameTyVarEnv tv_skol_prs $
                do  { let mini_env   = mkVarEnv (classTyVars clas `zip` substTys subst inst_tys)
                          mini_subst = mkTvSubst (mkInScopeSet (mkVarSet skol_tvs)) mini_env
                          mb_info    = InClsInst { ai_class = clas
                                                 , ai_tyvars = visible_skol_tvs
                                                 , ai_inst_env = mini_env }
                    ; df_stuff  <- mapAndRecoverM (tcDataFamInstDecl mb_info) adts
                    ; tf_insts1 <- mapAndRecoverM (tcTyFamInstDecl mb_info)   ats

                      -- Check for missing associated types and build them
                      -- from their defaults (if available)
                    ; tf_insts2 <- mapM (tcATDefault loc mini_subst defined_ats)
                                        (classATItems clas)

                    ; return (df_stuff, tf_insts1 ++ concat tf_insts2) }

        -- Finally, construct the Core representation of the instance.
        -- (This no longer includes the associated types.)
        ; dfun_name <- newDFunName clas inst_tys (getLoc (hsSigType hs_ty))
                -- Dfun location is that of instance *header*

        ; ispec <- newClsInst (fmap unLoc overlap_mode) dfun_name
                              tyvars theta clas inst_tys

        ; let inst_binds = InstBindings
                             { ib_binds = binds
                             , ib_tyvars = map Var.varName tyvars -- Scope over bindings
                             , ib_pragmas = uprags
                             , ib_extensions = []
                             , ib_derived = False }
              inst_info = InstInfo { iSpec  = ispec, iBinds = inst_binds }

              (datafam_insts, m_deriv_infos) = unzip datafam_stuff
              deriv_infos                    = catMaybes m_deriv_infos
              all_insts                      = tyfam_insts ++ datafam_insts

         -- In hs-boot files there should be no bindings
        ; is_boot <- tcIsHsBootOrSig
        ; let no_binds = isEmptyLHsBinds binds && null uprags
        ; failIfTc (is_boot && not no_binds) badBootDeclErr

        ; return ( [inst_info], all_insts, deriv_infos ) }
  where
    defined_ats = mkNameSet (map (tyFamInstDeclName . unLoc) ats)
                  `unionNameSet`
                  mkNameSet (map (unLoc . feqn_tycon
                                        . hsib_body
                                        . dfid_eqn
                                        . unLoc) adts)

tcClsInstDecl (L _ (XClsInstDecl _)) = panic "tcClsInstDecl"

{-
************************************************************************
*                                                                      *
               Type family instances
*                                                                      *
************************************************************************

Family instances are somewhat of a hybrid.  They are processed together with
class instance heads, but can contain data constructors and hence they share a
lot of kinding and type checking code with ordinary algebraic data types (and
GADTs).
-}

tcTyFamInstDecl :: AssocInstInfo
                -> LTyFamInstDecl GhcRn -> TcM FamInst
  -- "type instance"
  -- See Note [Associated type instances]
tcTyFamInstDecl mb_clsinfo (L loc decl@(TyFamInstDecl { tfid_eqn = eqn }))
  = setSrcSpan loc           $
    tcAddTyFamInstCtxt decl  $
    do { let fam_lname = feqn_tycon (hsib_body eqn)
       ; fam_tc <- tcLookupLocatedTyCon fam_lname
       ; tcFamInstDeclChecks mb_clsinfo fam_tc

         -- (0) Check it's an open type family
       ; checkTc (isTypeFamilyTyCon fam_tc)     (wrongKindOfFamily fam_tc)
       ; checkTc (isOpenTypeFamilyTyCon fam_tc) (notOpenFamily fam_tc)

         -- (1) do the work of verifying the synonym group
       ; co_ax_branch <- tcTyFamInstEqn fam_tc mb_clsinfo
                                        (L (getLoc fam_lname) eqn)

         -- (2) check for validity
       ; checkConsistentFamInst mb_clsinfo fam_tc co_ax_branch
       ; checkValidCoAxBranch fam_tc co_ax_branch

         -- (3) construct coercion axiom
       ; rep_tc_name <- newFamInstAxiomName fam_lname [coAxBranchLHS co_ax_branch]
       ; let axiom = mkUnbranchedCoAxiom rep_tc_name fam_tc co_ax_branch
       ; newFamInst SynFamilyInst axiom }

---------------------
tcFamInstDeclChecks :: AssocInstInfo -> TyCon -> TcM ()
-- Used for both type and data families
tcFamInstDeclChecks mb_clsinfo fam_tc
  = do { -- Type family instances require -XTypeFamilies
         -- and can't (currently) be in an hs-boot file
       ; traceTc "tcFamInstDecl" (ppr fam_tc)
       ; type_families <- xoptM LangExt.TypeFamilies
       ; is_boot       <- tcIsHsBootOrSig   -- Are we compiling an hs-boot file?
       ; checkTc type_families $ badFamInstDecl fam_tc
       ; checkTc (not is_boot) $ badBootFamInstDeclErr

       -- Check that it is a family TyCon, and that
       -- oplevel type instances are not for associated types.
       ; checkTc (isFamilyTyCon fam_tc) (notFamily fam_tc)

       ; when (isNotAssociated mb_clsinfo &&   -- Not in a class decl
               isTyConAssoc fam_tc)            -- but an associated type
              (addErr $ assocInClassErr fam_tc)
       }

{- Note [Associated type instances]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We allow this:
  class C a where
    type T x a
  instance C Int where
    type T (S y) Int = y
    type T Z     Int = Char

Note that
  a) The variable 'x' is not bound by the class decl
  b) 'x' is instantiated to a non-type-variable in the instance
  c) There are several type instance decls for T in the instance

All this is fine.  Of course, you can't give any *more* instances
for (T ty Int) elsewhere, because it's an *associated* type.

************************************************************************
*                                                                      *
               Data family instances
*                                                                      *
************************************************************************

For some reason data family instances are a lot more complicated
than type family instances
-}

tcDataFamInstDecl :: AssocInstInfo
                  -> LDataFamInstDecl GhcRn -> TcM (FamInst, Maybe DerivInfo)
  -- "newtype instance" and "data instance"
tcDataFamInstDecl mb_clsinfo
    (L loc decl@(DataFamInstDecl { dfid_eqn = HsIB { hsib_ext = imp_vars
                                                   , hsib_body =
      FamEqn { feqn_bndrs  = mb_bndrs
             , feqn_pats   = hs_pats
             , feqn_tycon  = lfam_name@(L _ fam_name)
             , feqn_fixity = fixity
             , feqn_rhs    = HsDataDefn { dd_ND      = new_or_data
                                        , dd_cType   = cType
                                        , dd_ctxt    = hs_ctxt
                                        , dd_cons    = hs_cons
                                        , dd_kindSig = m_ksig
                                        , dd_derivs  = derivs } }}}))
  = setSrcSpan loc             $
    tcAddDataFamInstCtxt decl  $
    do { fam_tc <- tcLookupLocatedTyCon lfam_name

       ; tcFamInstDeclChecks mb_clsinfo fam_tc

       -- Check that the family declaration is for the right kind
       ; checkTc (isDataFamilyTyCon fam_tc) (wrongKindOfFamily fam_tc)
       ; gadt_syntax <- dataDeclChecks fam_name new_or_data hs_ctxt hs_cons
          -- Do /not/ check that the number of patterns = tyConArity fam_tc
          -- See [Arity of data families] in FamInstEnv

       ; (qtvs, pats, res_kind, stupid_theta)
             <- tcDataFamHeader mb_clsinfo fam_tc imp_vars mb_bndrs
                                fixity hs_ctxt hs_pats m_ksig hs_cons

       -- Eta-reduce the axiom if possible
       -- Quite tricky: see Note [Eta-reduction for data families]
       ; let (eta_pats, eta_tcbs) = eta_reduce fam_tc pats
             eta_tvs       = map binderVar eta_tcbs
             post_eta_qtvs = filterOut (`elem` eta_tvs) qtvs

             full_tcbs = mkTyConBindersPreferAnon post_eta_qtvs
                            (tyCoVarsOfType (mkSpecForAllTys eta_tvs res_kind))
                         ++ eta_tcbs
                 -- Put the eta-removed tyvars at the end
                 -- Remember, qtvs is in arbitrary order, except kind vars are
                 -- first, so there is no reason to suppose that the eta_tvs
                 -- (obtained from the pats) are at the end (Trac #11148)

       -- Eta-expand the representation tycon until it has reult kind *
       -- See also Note [Arity of data families] in FamInstEnv
       -- NB: we can do this after eta-reducing the axiom, because if
       --     we did it before the "extra" tvs from etaExpandAlgTyCon
       --     would always be eta-reduced
       ; (extra_tcbs, final_res_kind) <- etaExpandAlgTyCon full_tcbs res_kind
       ; checkTc (tcIsLiftedTypeKind final_res_kind) (badKindSig True res_kind)
       ; let extra_pats  = map (mkTyVarTy . binderVar) extra_tcbs
             all_pats    = pats `chkAppend` extra_pats
             orig_res_ty = mkTyConApp fam_tc all_pats
             ty_binders  = full_tcbs `chkAppend` extra_tcbs

       ; traceTc "tcDataFamInstDecl" $
         vcat [ text "Fam tycon:" <+> ppr fam_tc
              , text "Pats:" <+> ppr pats
              , text "visibliities:" <+> ppr (tcbVisibilities fam_tc pats)
              , text "all_pats:" <+> ppr all_pats
              , text "ty_binders" <+> ppr ty_binders
              , text "fam_tc_binders:" <+> ppr (tyConBinders fam_tc)
              , text "eta_pats" <+> ppr eta_pats
              , text "eta_tcbs" <+> ppr eta_tcbs ]

       ; (rep_tc, axiom) <- fixM $ \ ~(rec_rep_tc, _) ->
           do { data_cons <- tcExtendTyVarEnv qtvs $
                             -- For H98 decls, the tyvars scope
                             -- over the data constructors
                             tcConDecls rec_rep_tc ty_binders orig_res_ty hs_cons

              ; rep_tc_name <- newFamInstTyConName lfam_name pats
              ; axiom_name  <- newFamInstAxiomName lfam_name [pats]
              ; tc_rhs <- case new_or_data of
                     DataType -> return (mkDataTyConRhs data_cons)
                     NewType  -> ASSERT( not (null data_cons) )
                                 mkNewTyConRhs rep_tc_name rec_rep_tc (head data_cons)

              ; let axiom  = mkSingleCoAxiom Representational axiom_name
                                 post_eta_qtvs eta_tvs [] fam_tc eta_pats
                                 (mkTyConApp rep_tc (mkTyVarTys post_eta_qtvs))
                    parent = DataFamInstTyCon axiom fam_tc all_pats

                      -- NB: Use the full ty_binders from the pats. See bullet toward
                      -- the end of Note [Data type families] in TyCon
                    rep_tc   = mkAlgTyCon rep_tc_name
                                          ty_binders liftedTypeKind
                                          (map (const Nominal) ty_binders)
                                          (fmap unLoc cType) stupid_theta
                                          tc_rhs parent
                                          gadt_syntax
                 -- We always assume that indexed types are recursive.  Why?
                 -- (1) Due to their open nature, we can never be sure that a
                 -- further instance might not introduce a new recursive
                 -- dependency.  (2) They are always valid loop breakers as
                 -- they involve a coercion.
              ; return (rep_tc, axiom) }

       -- Remember to check validity; no recursion to worry about here
       -- Check that left-hand sides are ok (mono-types, no type families,
       -- consistent instantiations, etc)
       ; let ax_branch = coAxiomSingleBranch axiom
       ; checkConsistentFamInst mb_clsinfo fam_tc ax_branch
       ; checkValidCoAxBranch fam_tc ax_branch
       ; checkValidTyCon rep_tc

       ; let m_deriv_info = case derivs of
               L _ []    -> Nothing
               L _ preds ->
                 Just $ DerivInfo { di_rep_tc  = rep_tc
                                  , di_clauses = preds
                                  , di_ctxt    = tcMkDataFamInstCtxt decl }

       ; fam_inst <- newFamInst (DataFamilyInst rep_tc) axiom
       ; return (fam_inst, m_deriv_info) }
  where
    eta_reduce :: TyCon -> [Type] -> ([Type], [TyConBinder])
    -- See Note [Eta reduction for data families] in FamInstEnv
    -- Splits the incoming patterns into two: the [TyVar]
    -- are the patterns that can be eta-reduced away.
    -- e.g.     T [a] Int a d c   ==>  (T [a] Int a, [d,c])
    --
    -- NB: quadratic algorithm, but types are small here
    eta_reduce fam_tc pats
        = go (reverse (zip3 pats fvs_s vis_s)) []
        where
          vis_s :: [TyConBndrVis]
          vis_s = tcbVisibilities fam_tc pats

          fvs_s :: [TyCoVarSet]  -- 1-1 correspondence with pats
                                 -- Each elt is the free vars of all /earlier/ pats
          (_, fvs_s) = mapAccumL add_fvs emptyVarSet pats
          add_fvs fvs pat = (fvs `unionVarSet` tyCoVarsOfType pat, fvs)

    go ((pat, fvs_to_the_left, tcb_vis):pats) etad_tvs
      | Just tv <- getTyVar_maybe pat
      , not (tv `elemVarSet` fvs_to_the_left)
      = go pats (Bndr tv tcb_vis : etad_tvs)
    go pats etad_tvs = (reverse (map fstOf3 pats), etad_tvs)

tcDataFamInstDecl _ _ = panic "tcDataFamInstDecl"

-----------------------
tcDataFamHeader :: AssocInstInfo -> TyCon -> [Name] -> Maybe [LHsTyVarBndr GhcRn]
                -> LexicalFixity -> LHsContext GhcRn
                -> HsTyPats GhcRn -> Maybe (LHsKind GhcRn) -> [LConDecl GhcRn]
                -> TcM ([TyVar], [Type], Kind, ThetaType)
-- The "header" is the part other than the data constructors themselves
-- e.g.  data instance D [a] :: * -> * where ...
-- Here the "header" is the bit before the "where"
tcDataFamHeader mb_clsinfo fam_tc imp_vars mb_bndrs fixity hs_ctxt hs_pats m_ksig hs_cons
  = do { (imp_tvs, (exp_tvs, (stupid_theta, lhs_ty, res_kind)))
            <- pushTcLevelM_                                $
               solveEqualities                              $
               bindImplicitTKBndrs_Q_Skol imp_vars          $
               bindExplicitTKBndrs_Q_Skol AnyKind exp_bndrs $
               do { stupid_theta <- tcHsContext hs_ctxt
                  ; (lhs_ty, lhs_kind) <- tcFamTyPats fam_tc hs_pats

                  -- Ensure that the instance is consistent
                  -- with its parent class
                  ; addConsistencyConstraints mb_clsinfo lhs_ty

                  -- Add constraints from the data constructors
                  ; mapM_ (wrapLocM_ kcConDecl) hs_cons

                  -- Add constraints from the result signature
                  ; res_kind <- tc_kind_sig m_ksig
                  ; lhs_ty <- checkExpectedKind_pp pp_lhs lhs_ty lhs_kind res_kind
                  ; return (stupid_theta, lhs_ty, res_kind) }

       -- See TcTyClsDecls Note [Generalising in tcFamTyPatsGuts]
       -- This code (and the stuff immediately above) is very similar
       -- to that in tcFamTyInstEqnGuts.  Maybe we should abstract the
       -- common code; but for the moment I concluded that it's
       -- clearer to duplicate it.  Still, if you fix a bug here,
       -- check there too!
       ; let scoped_tvs = imp_tvs ++ exp_tvs
       ; dvs  <- candidateQTyVarsOfTypes (lhs_ty : mkTyVarTys scoped_tvs)
       ; qtvs <- quantifyTyVars emptyVarSet dvs

       -- Zonk the patterns etc into the Type world
       ; (ze, qtvs)   <- zonkTyBndrs qtvs
       ; lhs_ty       <- zonkTcTypeToTypeX ze lhs_ty
       ; res_kind     <- zonkTcTypeToTypeX ze res_kind
       ; stupid_theta <- zonkTcTypesToTypesX ze stupid_theta

       -- Check that type patterns match the class instance head
       ; let pats = unravelFamInstPats lhs_ty
       ; return (qtvs, pats, res_kind, stupid_theta) }
  where
    fam_name  = tyConName fam_tc
    data_ctxt = DataKindCtxt fam_name
    pp_lhs    = pprHsFamInstLHS fam_name mb_bndrs hs_pats fixity hs_ctxt
    exp_bndrs = mb_bndrs `orElse` []

    -- See Note [Result kind signature for a data family instance]
    tc_kind_sig Nothing
      = return liftedTypeKind
    tc_kind_sig (Just hs_kind)
      = do { sig_kind <- tcLHsKindSig data_ctxt hs_kind
           ; let (tvs, inner_kind) = tcSplitForAllTys sig_kind
           ; lvl <- getTcLevel
           ; (subst, _tvs') <- tcInstSkolTyVarsAt lvl False emptyTCvSubst tvs
             -- Perhaps surprisingly, we don't need the skolemised tvs themselves
           ; return (substTy subst inner_kind) }

{- Note [Result kind signature for a data family instance]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The expected type might have a forall at the type. Normally, we
can't skolemise in kinds because we don't have type-level lambda.
But here, we're at the top-level of an instance declaration, so
we actually have a place to put the regeneralised variables.
Thus: skolemise away. cf. Inst.deeplySkolemise and TcUnify.tcSkolemise
Examples in indexed-types/should_compile/T12369

Note [Eta-reduction for data families]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider
   data D :: * -> * -> * -> * -> *

   data instance D [(a,b)] p q :: * -> * where
      D1 :: blah1
      D2 :: blah2

Then we'll generate a representation data type
  data Drep a b p q z where
      D1 :: blah1
      D2 :: blah2

and an axiom to connect them
  axiom AxDrep forall a b p q z. D [(a,b]] p q z = Drep a b p q z

except that we'll eta-reduce the axiom to
  axiom AxDrep forall a b. D [(a,b]] = Drep a b
There are several fiddly subtleties lurking here

* The representation tycon Drep is parameerised over the free
  variables of the pattern, in no particular order. So there is no
  guarantee that 'p' and 'q' will come last in Drep's parameters, and
  in the right order.  So, if the /patterns/ of the family insatance
  are eta-redcible, we re-order Drep's parameters to put the
  eta-reduced type variables last.

* Although we eta-reduce the axiom, we eta-/expand/ the representation
  tycon Drep.  The kind of D says it takses four arguments, but the
  data instance header only supplies three.  But the AlgTyCOn for Drep
  itself must have enough TyConBinders so that its result kind is Type.
  So, with etaExpandAlgTyCon we make up some extra TyConBinders

* The result kind in the instance might be a polykind, like this:
     data family DP a :: forall k. k -> *
     data instance DP [b] :: forall k1 k2. (k1,k2) -> *

  So in type-checking the LHS (DP Int) we need to check that it is
  more polymorphic than the signature.  To do that we must skolemise
  the siganture and istantiate the call of DP.  So we end up with
     data instance DP [b] @(k1,k2) (z :: (k1,k2)) where

  Note that we must parameterise the representation tycon DPrep over
  'k1' and 'k2', as well as 'b'.

  The skolemise bit is done in tc_kind_sig, while the instantiate bit
  is done by tcFamTyPats.

* Very fiddly point.  When we eta-reduce to
     axiom AxDrep forall a b. D [(a,b]] = Drep a b

  we want the kind of (D [(a,b)]) to be the same as the kind of
  (Drep a b).  This ensures that applying the axiom doesn't change the
  kind.  Why is that hard?  Because the kind of (Drep a b) depends on
  the TyConBndrVis on Drep's arguments. In particular do we have
    (forall (k::*). blah) or (* -> blah)?

  We must match whatever D does!  In Trac #15817 we had
      data family X a :: forall k. * -> *   -- Note: a forall that is not used
      data instance X Int b = MkX

  So the data instance is really
      data istance X Int @k b = MkX

  The axiom will look like
      axiom    X Int = Xrep

  and it's important that XRep :: forall k * -> *, following X.

  To achieve this we get the TyConBndrVis flags from tcbVisibilities,
  and use those flags for any eta-reduced arguments.  Sigh.

* The final turn of the knife is that tcbVisibilities is itself
  tricky to sort out.  Consider
      data family D k :: k
  Then consider D (forall k2. k2 -> k2) Type Type
  The visibilty flags on an application of D may affected by the arguments
  themselves.  Heavy sigh.  But not truly hard; that's what tcbVisibilities
  does.

-}

{- *********************************************************************
*                                                                      *
      Class instance declarations, pass 2
*                                                                      *
********************************************************************* -}

tcInstDecls2 :: [LTyClDecl GhcRn] -> [InstInfo GhcRn]
             -> TcM (LHsBinds GhcTc)
-- (a) From each class declaration,
--      generate any default-method bindings
-- (b) From each instance decl
--      generate the dfun binding

tcInstDecls2 tycl_decls inst_decls
  = do  { -- (a) Default methods from class decls
          let class_decls = filter (isClassDecl . unLoc) tycl_decls
        ; dm_binds_s <- mapM tcClassDecl2 class_decls
        ; let dm_binds = unionManyBags dm_binds_s

          -- (b) instance declarations
        ; let dm_ids = collectHsBindsBinders dm_binds
              -- Add the default method Ids (again)
              -- (they were arready added in TcTyDecls.tcAddImplicits)
              -- See Note [Default methods in the type environment]
        ; inst_binds_s <- tcExtendGlobalValEnv dm_ids $
                          mapM tcInstDecl2 inst_decls

          -- Done
        ; return (dm_binds `unionBags` unionManyBags inst_binds_s) }

{- Note [Default methods in the type environment]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The default method Ids are already in the type environment (see Note
[Default method Ids and Template Haskell] in TcTyDcls), BUT they
don't have their InlinePragmas yet.  Usually that would not matter,
because the simplifier propagates information from binding site to
use.  But, unusually, when compiling instance decls we *copy* the
INLINE pragma from the default method to the method for that
particular operation (see Note [INLINE and default methods] below).

So right here in tcInstDecls2 we must re-extend the type envt with
the default method Ids replete with their INLINE pragmas.  Urk.
-}

tcInstDecl2 :: InstInfo GhcRn -> TcM (LHsBinds GhcTc)
            -- Returns a binding for the dfun
tcInstDecl2 (InstInfo { iSpec = ispec, iBinds = ibinds })
  = recoverM (return emptyLHsBinds)             $
    setSrcSpan loc                              $
    addErrCtxt (instDeclCtxt2 (idType dfun_id)) $
    do {  -- Instantiate the instance decl with skolem constants
       ; (inst_tyvars, dfun_theta, inst_head) <- tcSkolDFunType dfun_id
       ; dfun_ev_vars <- newEvVars dfun_theta
                     -- We instantiate the dfun_id with superSkolems.
                     -- See Note [Subtle interaction of recursion and overlap]
                     -- and Note [Binding when looking up instances]

       ; let (clas, inst_tys) = tcSplitDFunHead inst_head
             (class_tyvars, sc_theta, _, op_items) = classBigSig clas
             sc_theta' = substTheta (zipTvSubst class_tyvars inst_tys) sc_theta

       ; traceTc "tcInstDecl2" (vcat [ppr inst_tyvars, ppr inst_tys, ppr dfun_theta, ppr sc_theta'])

                      -- Deal with 'SPECIALISE instance' pragmas
                      -- See Note [SPECIALISE instance pragmas]
       ; spec_inst_info@(spec_inst_prags,_) <- tcSpecInstPrags dfun_id ibinds

         -- Typecheck superclasses and methods
         -- See Note [Typechecking plan for instance declarations]
       ; dfun_ev_binds_var <- newTcEvBinds
       ; let dfun_ev_binds = TcEvBinds dfun_ev_binds_var
       ; (tclvl, (sc_meth_ids, sc_meth_binds, sc_meth_implics))
             <- pushTcLevelM $
                do { (sc_ids, sc_binds, sc_implics)
                        <- tcSuperClasses dfun_id clas inst_tyvars dfun_ev_vars
                                          inst_tys dfun_ev_binds
                                          sc_theta'

                      -- Typecheck the methods
                   ; (meth_ids, meth_binds, meth_implics)
                        <- tcMethods dfun_id clas inst_tyvars dfun_ev_vars
                                     inst_tys dfun_ev_binds spec_inst_info
                                     op_items ibinds

                   ; return ( sc_ids     ++          meth_ids
                            , sc_binds   `unionBags` meth_binds
                            , sc_implics `unionBags` meth_implics ) }

       ; imp <- newImplication
       ; emitImplication $
         imp { ic_tclvl  = tclvl
             , ic_skols  = inst_tyvars
             , ic_given  = dfun_ev_vars
             , ic_wanted = mkImplicWC sc_meth_implics
             , ic_binds  = dfun_ev_binds_var
             , ic_info   = InstSkol }

       -- Create the result bindings
       ; self_dict <- newDict clas inst_tys
       ; let class_tc      = classTyCon clas
             [dict_constr] = tyConDataCons class_tc
             dict_bind     = mkVarBind self_dict (L loc con_app_args)

                     -- We don't produce a binding for the dict_constr; instead we
                     -- rely on the simplifier to unfold this saturated application
                     -- We do this rather than generate an HsCon directly, because
                     -- it means that the special cases (e.g. dictionary with only one
                     -- member) are dealt with by the common MkId.mkDataConWrapId
                     -- code rather than needing to be repeated here.
                     --    con_app_tys  = MkD ty1 ty2
                     --    con_app_scs  = MkD ty1 ty2 sc1 sc2
                     --    con_app_args = MkD ty1 ty2 sc1 sc2 op1 op2
             con_app_tys  = mkHsWrap (mkWpTyApps inst_tys)
                                  (HsConLikeOut noExt (RealDataCon dict_constr))
                       -- NB: We *can* have covars in inst_tys, in the case of
                       -- promoted GADT constructors.

             con_app_args = foldl' app_to_meth con_app_tys sc_meth_ids

             app_to_meth :: HsExpr GhcTc -> Id -> HsExpr GhcTc
             app_to_meth fun meth_id = HsApp noExt (L loc fun)
                                            (L loc (wrapId arg_wrapper meth_id))

             inst_tv_tys = mkTyVarTys inst_tyvars
             arg_wrapper = mkWpEvVarApps dfun_ev_vars <.> mkWpTyApps inst_tv_tys

             is_newtype = isNewTyCon class_tc
             dfun_id_w_prags = addDFunPrags dfun_id sc_meth_ids
             dfun_spec_prags
                | is_newtype = SpecPrags []
                | otherwise  = SpecPrags spec_inst_prags
                    -- Newtype dfuns just inline unconditionally,
                    -- so don't attempt to specialise them

             export = ABE { abe_ext  = noExt
                          , abe_wrap = idHsWrapper
                          , abe_poly = dfun_id_w_prags
                          , abe_mono = self_dict
                          , abe_prags = dfun_spec_prags }
                          -- NB: see Note [SPECIALISE instance pragmas]
             main_bind = AbsBinds { abs_ext = noExt
                                  , abs_tvs = inst_tyvars
                                  , abs_ev_vars = dfun_ev_vars
                                  , abs_exports = [export]
                                  , abs_ev_binds = []
                                  , abs_binds = unitBag dict_bind
                                  , abs_sig = True }

       ; return (unitBag (L loc main_bind) `unionBags` sc_meth_binds)
       }
 where
   dfun_id = instanceDFunId ispec
   loc     = getSrcSpan dfun_id

addDFunPrags :: DFunId -> [Id] -> DFunId
-- DFuns need a special Unfolding and InlinePrag
--    See Note [ClassOp/DFun selection]
--    and Note [Single-method classes]
-- It's easiest to create those unfoldings right here, where
-- have all the pieces in hand, even though we are messing with
-- Core at this point, which the typechecker doesn't usually do
-- However we take care to build the unfolding using the TyVars from
-- the DFunId rather than from the skolem pieces that the typechecker
-- is messing with.
addDFunPrags dfun_id sc_meth_ids
 | is_newtype
  = dfun_id `setIdUnfolding`  mkInlineUnfoldingWithArity 0 con_app
            `setInlinePragma` alwaysInlinePragma { inl_sat = Just 0 }
 | otherwise
 = dfun_id `setIdUnfolding`  mkDFunUnfolding dfun_bndrs dict_con dict_args
           `setInlinePragma` dfunInlinePragma
 where
   con_app    = mkLams dfun_bndrs $
                mkApps (Var (dataConWrapId dict_con)) dict_args
                 -- mkApps is OK because of the checkForLevPoly call in checkValidClass
                 -- See Note [Levity polymorphism checking] in DsMonad
   dict_args  = map Type inst_tys ++
                [mkVarApps (Var id) dfun_bndrs | id <- sc_meth_ids]

   (dfun_tvs, dfun_theta, clas, inst_tys) = tcSplitDFunTy (idType dfun_id)
   ev_ids      = mkTemplateLocalsNum 1                    dfun_theta
   dfun_bndrs  = dfun_tvs ++ ev_ids
   clas_tc     = classTyCon clas
   [dict_con]  = tyConDataCons clas_tc
   is_newtype  = isNewTyCon clas_tc

wrapId :: HsWrapper -> IdP (GhcPass id) -> HsExpr (GhcPass id)
wrapId wrapper id = mkHsWrap wrapper (HsVar noExt (noLoc id))

{- Note [Typechecking plan for instance declarations]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
For instance declarations we generate the following bindings and implication
constraints.  Example:

   instance Ord a => Ord [a] where compare = <compare-rhs>

generates this:

   Bindings:
      -- Method bindings
      $ccompare :: forall a. Ord a => a -> a -> Ordering
      $ccompare = /\a \(d:Ord a). let <meth-ev-binds> in ...

      -- Superclass bindings
      $cp1Ord :: forall a. Ord a => Eq [a]
      $cp1Ord = /\a \(d:Ord a). let <sc-ev-binds>
               in dfEqList (dw :: Eq a)

   Constraints:
      forall a. Ord a =>
                -- Method constraint
             (forall. (empty) => <constraints from compare-rhs>)
                -- Superclass constraint
          /\ (forall. (empty) => dw :: Eq a)

Notice that

 * Per-meth/sc implication.  There is one inner implication per
   superclass or method, with no skolem variables or givens.  The only
   reason for this one is to gather the evidence bindings privately
   for this superclass or method.  This implication is generated
   by checkInstConstraints.

 * Overall instance implication. There is an overall enclosing
   implication for the whole instance declaration, with the expected
   skolems and givens.  We need this to get the correct "redundant
   constraint" warnings, gathering all the uses from all the methods
   and superclasses.  See TcSimplify Note [Tracking redundant
   constraints]

 * The given constraints in the outer implication may generate
   evidence, notably by superclass selection.  Since the method and
   superclass bindings are top-level, we want that evidence copied
   into *every* method or superclass definition.  (Some of it will
   be usused in some, but dead-code elimination will drop it.)

   We achieve this by putting the evidence variable for the overall
   instance implication into the AbsBinds for each method/superclass.
   Hence the 'dfun_ev_binds' passed into tcMethods and tcSuperClasses.
   (And that in turn is why the abs_ev_binds field of AbBinds is a
   [TcEvBinds] rather than simply TcEvBinds.

   This is a bit of a hack, but works very nicely in practice.

 * Note that if a method has a locally-polymorphic binding, there will
   be yet another implication for that, generated by tcPolyCheck
   in tcMethodBody. E.g.
          class C a where
            foo :: forall b. Ord b => blah

************************************************************************
*                                                                      *
      Type-checking superclasses
*                                                                      *
************************************************************************
-}

tcSuperClasses :: DFunId -> Class -> [TcTyVar] -> [EvVar] -> [TcType]
               -> TcEvBinds
               -> TcThetaType
               -> TcM ([EvVar], LHsBinds GhcTc, Bag Implication)
-- Make a new top-level function binding for each superclass,
-- something like
--    $Ordp1 :: forall a. Ord a => Eq [a]
--    $Ordp1 = /\a \(d:Ord a). dfunEqList a (sc_sel d)
--
-- See Note [Recursive superclasses] for why this is so hard!
-- In effect, we build a special-purpose solver for the first step
-- of solving each superclass constraint
tcSuperClasses dfun_id cls tyvars dfun_evs inst_tys dfun_ev_binds sc_theta
  = do { (ids, binds, implics) <- mapAndUnzip3M tc_super (zip sc_theta [fIRST_TAG..])
       ; return (ids, listToBag binds, listToBag implics) }
  where
    loc = getSrcSpan dfun_id
    size = sizeTypes inst_tys
    tc_super (sc_pred, n)
      = do { (sc_implic, ev_binds_var, sc_ev_tm)
                <- checkInstConstraints $ emitWanted (ScOrigin size) sc_pred

           ; sc_top_name  <- newName (mkSuperDictAuxOcc n (getOccName cls))
           ; sc_ev_id     <- newEvVar sc_pred
           ; addTcEvBind ev_binds_var $ mkWantedEvBind sc_ev_id sc_ev_tm
           ; let sc_top_ty = mkInvForAllTys tyvars $
                             mkPhiTy (map idType dfun_evs) sc_pred
                 sc_top_id = mkLocalId sc_top_name sc_top_ty
                 export = ABE { abe_ext  = noExt
                              , abe_wrap = idHsWrapper
                              , abe_poly = sc_top_id
                              , abe_mono = sc_ev_id
                              , abe_prags = noSpecPrags }
                 local_ev_binds = TcEvBinds ev_binds_var
                 bind = AbsBinds { abs_ext      = noExt
                                 , abs_tvs      = tyvars
                                 , abs_ev_vars  = dfun_evs
                                 , abs_exports  = [export]
                                 , abs_ev_binds = [dfun_ev_binds, local_ev_binds]
                                 , abs_binds    = emptyBag
                                 , abs_sig      = False }
           ; return (sc_top_id, L loc bind, sc_implic) }

-------------------
checkInstConstraints :: TcM result
                     -> TcM (Implication, EvBindsVar, result)
-- See Note [Typechecking plan for instance declarations]
checkInstConstraints thing_inside
  = do { (tclvl, wanted, result) <- pushLevelAndCaptureConstraints  $
                                    thing_inside

       ; ev_binds_var <- newTcEvBinds
       ; implic <- newImplication
       ; let implic' = implic { ic_tclvl  = tclvl
                              , ic_wanted = wanted
                              , ic_binds  = ev_binds_var
                              , ic_info   = InstSkol }

       ; return (implic', ev_binds_var, result) }

{-
Note [Recursive superclasses]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
See Trac #3731, #4809, #5751, #5913, #6117, #6161, which all
describe somewhat more complicated situations, but ones
encountered in practice.

See also tests tcrun020, tcrun021, tcrun033, and Trac #11427.

----- THE PROBLEM --------
The problem is that it is all too easy to create a class whose
superclass is bottom when it should not be.

Consider the following (extreme) situation:
        class C a => D a where ...
        instance D [a] => D [a] where ...   (dfunD)
        instance C [a] => C [a] where ...   (dfunC)
Although this looks wrong (assume D [a] to prove D [a]), it is only a
more extreme case of what happens with recursive dictionaries, and it
can, just about, make sense because the methods do some work before
recursing.

To implement the dfunD we must generate code for the superclass C [a],
which we had better not get by superclass selection from the supplied
argument:
       dfunD :: forall a. D [a] -> D [a]
       dfunD = \d::D [a] -> MkD (scsel d) ..

Otherwise if we later encounter a situation where
we have a [Wanted] dw::D [a] we might solve it thus:
     dw := dfunD dw
Which is all fine except that now ** the superclass C is bottom **!

The instance we want is:
       dfunD :: forall a. D [a] -> D [a]
       dfunD = \d::D [a] -> MkD (dfunC (scsel d)) ...

----- THE SOLUTION --------
The basic solution is simple: be very careful about using superclass
selection to generate a superclass witness in a dictionary function
definition.  More precisely:

  Superclass Invariant: in every class dictionary,
                        every superclass dictionary field
                        is non-bottom

To achieve the Superclass Invariant, in a dfun definition we can
generate a guaranteed-non-bottom superclass witness from:
  (sc1) one of the dictionary arguments itself (all non-bottom)
  (sc2) an immediate superclass of a smaller dictionary
  (sc3) a call of a dfun (always returns a dictionary constructor)

The tricky case is (sc2).  We proceed by induction on the size of
the (type of) the dictionary, defined by TcValidity.sizeTypes.
Let's suppose we are building a dictionary of size 3, and
suppose the Superclass Invariant holds of smaller dictionaries.
Then if we have a smaller dictionary, its immediate superclasses
will be non-bottom by induction.

What does "we have a smaller dictionary" mean?  It might be
one of the arguments of the instance, or one of its superclasses.
Here is an example, taken from CmmExpr:
       class Ord r => UserOfRegs r a where ...
(i1)   instance UserOfRegs r a => UserOfRegs r (Maybe a) where
(i2)   instance (Ord r, UserOfRegs r CmmReg) => UserOfRegs r CmmExpr where

For (i1) we can get the (Ord r) superclass by selection from (UserOfRegs r a),
since it is smaller than the thing we are building (UserOfRegs r (Maybe a).

But for (i2) that isn't the case, so we must add an explicit, and
perhaps surprising, (Ord r) argument to the instance declaration.

Here's another example from Trac #6161:

       class       Super a => Duper a  where ...
       class Duper (Fam a) => Foo a    where ...
(i3)   instance Foo a => Duper (Fam a) where ...
(i4)   instance              Foo Float where ...

It would be horribly wrong to define
   dfDuperFam :: Foo a -> Duper (Fam a)  -- from (i3)
   dfDuperFam d = MkDuper (sc_sel1 (sc_sel2 d)) ...

   dfFooFloat :: Foo Float               -- from (i4)
   dfFooFloat = MkFoo (dfDuperFam dfFooFloat) ...

Now the Super superclass of Duper is definitely bottom!

This won't happen because when processing (i3) we can use the
superclasses of (Foo a), which is smaller, namely Duper (Fam a).  But
that is *not* smaller than the target so we can't take *its*
superclasses.  As a result the program is rightly rejected, unless you
add (Super (Fam a)) to the context of (i3).

Note [Solving superclass constraints]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
How do we ensure that every superclass witness is generated by
one of (sc1) (sc2) or (sc3) in Note [Recursive superclasses].
Answer:

  * Superclass "wanted" constraints have CtOrigin of (ScOrigin size)
    where 'size' is the size of the instance declaration. e.g.
          class C a => D a where...
          instance blah => D [a] where ...
    The wanted superclass constraint for C [a] has origin
    ScOrigin size, where size = size( D [a] ).

  * (sc1) When we rewrite such a wanted constraint, it retains its
    origin.  But if we apply an instance declaration, we can set the
    origin to (ScOrigin infinity), thus lifting any restrictions by
    making prohibitedSuperClassSolve return False.

  * (sc2) ScOrigin wanted constraints can't be solved from a
    superclass selection, except at a smaller type.  This test is
    implemented by TcInteract.prohibitedSuperClassSolve

  * The "given" constraints of an instance decl have CtOrigin
    GivenOrigin InstSkol.

  * When we make a superclass selection from InstSkol we use
    a SkolemInfo of (InstSC size), where 'size' is the size of
    the constraint whose superclass we are taking.  A similarly
    when taking the superclass of an InstSC.  This is implemented
    in TcCanonical.newSCWorkFromFlavored

Note [Silent superclass arguments] (historical interest only)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
NB1: this note describes our *old* solution to the
     recursive-superclass problem. I'm keeping the Note
     for now, just as institutional memory.
     However, the code for silent superclass arguments
     was removed in late Dec 2014

NB2: the silent-superclass solution introduced new problems
     of its own, in the form of instance overlap.  Tests
     SilentParametersOverlapping, T5051, and T7862 are examples

NB3: the silent-superclass solution also generated tons of
     extra dictionaries.  For example, in monad-transformer
     code, when constructing a Monad dictionary you had to pass
     an Applicative dictionary; and to construct that you neede
     a Functor dictionary. Yet these extra dictionaries were
     often never used.  Test T3064 compiled *far* faster after
     silent superclasses were eliminated.

Our solution to this problem "silent superclass arguments".  We pass
to each dfun some ``silent superclass argumentsâ€™â€™, which are the
immediate superclasses of the dictionary we are trying to
construct. In our example:
       dfun :: forall a. C [a] -> D [a] -> D [a]
       dfun = \(dc::C [a]) (dd::D [a]) -> DOrd dc ...
Notice the extra (dc :: C [a]) argument compared to the previous version.

This gives us:

     -----------------------------------------------------------
     DFun Superclass Invariant
     ~~~~~~~~~~~~~~~~~~~~~~~~
     In the body of a DFun, every superclass argument to the
     returned dictionary is
       either   * one of the arguments of the DFun,
       or       * constant, bound at top level
     -----------------------------------------------------------

This net effect is that it is safe to treat a dfun application as
wrapping a dictionary constructor around its arguments (in particular,
a dfun never picks superclasses from the arguments under the
dictionary constructor). No superclass is hidden inside a dfun
application.

The extra arguments required to satisfy the DFun Superclass Invariant
always come first, and are called the "silent" arguments.  You can
find out how many silent arguments there are using Id.dfunNSilent;
and then you can just drop that number of arguments to see the ones
that were in the original instance declaration.

DFun types are built (only) by MkId.mkDictFunId, so that is where we
decide what silent arguments are to be added.
-}

{-
************************************************************************
*                                                                      *
      Type-checking an instance method
*                                                                      *
************************************************************************

tcMethod
- Make the method bindings, as a [(NonRec, HsBinds)], one per method
- Remembering to use fresh Name (the instance method Name) as the binder
- Bring the instance method Ids into scope, for the benefit of tcInstSig
- Use sig_fn mapping instance method Name -> instance tyvars
- Ditto prag_fn
- Use tcValBinds to do the checking
-}

tcMethods :: DFunId -> Class
          -> [TcTyVar] -> [EvVar]
          -> [TcType]
          -> TcEvBinds
          -> ([Located TcSpecPrag], TcPragEnv)
          -> [ClassOpItem]
          -> InstBindings GhcRn
          -> TcM ([Id], LHsBinds GhcTc, Bag Implication)
        -- The returned inst_meth_ids all have types starting
        --      forall tvs. theta => ...
tcMethods dfun_id clas tyvars dfun_ev_vars inst_tys
                  dfun_ev_binds (spec_inst_prags, prag_fn) op_items
                  (InstBindings { ib_binds      = binds
                                , ib_tyvars     = lexical_tvs
                                , ib_pragmas    = sigs
                                , ib_extensions = exts
                                , ib_derived    = is_derived })
  = tcExtendNameTyVarEnv (lexical_tvs `zip` tyvars) $
       -- The lexical_tvs scope over the 'where' part
    do { traceTc "tcInstMeth" (ppr sigs $$ ppr binds)
       ; checkMinimalDefinition
       ; checkMethBindMembership
       ; (ids, binds, mb_implics) <- set_exts exts $
                                     unset_warnings_deriving $
                                     mapAndUnzip3M tc_item op_items
       ; return (ids, listToBag binds, listToBag (catMaybes mb_implics)) }
  where
    set_exts :: [LangExt.Extension] -> TcM a -> TcM a
    set_exts es thing = foldr setXOptM thing es

    -- See Note [Avoid -Winaccessible-code when deriving]
    unset_warnings_deriving :: TcM a -> TcM a
    unset_warnings_deriving
      | is_derived = unsetWOptM Opt_WarnInaccessibleCode
      | otherwise  = id

    hs_sig_fn = mkHsSigFun sigs
    inst_loc  = getSrcSpan dfun_id

    ----------------------
    tc_item :: ClassOpItem -> TcM (Id, LHsBind GhcTc, Maybe Implication)
    tc_item (sel_id, dm_info)
      | Just (user_bind, bndr_loc, prags) <- findMethodBind (idName sel_id) binds prag_fn
      = tcMethodBody clas tyvars dfun_ev_vars inst_tys
                              dfun_ev_binds is_derived hs_sig_fn
                              spec_inst_prags prags
                              sel_id user_bind bndr_loc
      | otherwise
      = do { traceTc "tc_def" (ppr sel_id)
           ; tc_default sel_id dm_info }

    ----------------------
    tc_default :: Id -> DefMethInfo
               -> TcM (TcId, LHsBind GhcTc, Maybe Implication)

    tc_default sel_id (Just (dm_name, _))
      = do { (meth_bind, inline_prags) <- mkDefMethBind clas inst_tys sel_id dm_name
           ; tcMethodBody clas tyvars dfun_ev_vars inst_tys
                          dfun_ev_binds is_derived hs_sig_fn
                          spec_inst_prags inline_prags
                          sel_id meth_bind inst_loc }

    tc_default sel_id Nothing     -- No default method at all
      = do { traceTc "tc_def: warn" (ppr sel_id)
           ; (meth_id, _) <- mkMethIds clas tyvars dfun_ev_vars
                                       inst_tys sel_id
           ; dflags <- getDynFlags
           ; let meth_bind = mkVarBind meth_id $
                             mkLHsWrap lam_wrapper (error_rhs dflags)
           ; return (meth_id, meth_bind, Nothing) }
      where
        error_rhs dflags = L inst_loc $ HsApp noExt error_fun (error_msg dflags)
        error_fun    = L inst_loc $
                       wrapId (mkWpTyApps
                                [ getRuntimeRep meth_tau, meth_tau])
                              nO_METHOD_BINDING_ERROR_ID
        error_msg dflags = L inst_loc (HsLit noExt (HsStringPrim NoSourceText
                                              (unsafeMkByteString (error_string dflags))))
        meth_tau     = funResultTy (piResultTys (idType sel_id) inst_tys)
        error_string dflags = showSDoc dflags
                              (hcat [ppr inst_loc, vbar, ppr sel_id ])
        lam_wrapper  = mkWpTyLams tyvars <.> mkWpLams dfun_ev_vars

    ----------------------
    -- Check if one of the minimal complete definitions is satisfied
    checkMinimalDefinition
      = whenIsJust (isUnsatisfied methodExists (classMinimalDef clas)) $
        warnUnsatisfiedMinimalDefinition

    methodExists meth = isJust (findMethodBind meth binds prag_fn)

    ----------------------
    -- Check if any method bindings do not correspond to the class.
    -- See Note [Mismatched class methods and associated type families].
    checkMethBindMembership
      = mapM_ (addErrTc . badMethodErr clas) mismatched_meths
      where
        bind_nms         = map unLoc $ collectMethodBinders binds
        cls_meth_nms     = map (idName . fst) op_items
        mismatched_meths = bind_nms `minusList` cls_meth_nms

{-
Note [Mismatched class methods and associated type families]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
It's entirely possible for someone to put methods or associated type family
instances inside of a class in which it doesn't belong. For instance, we'd
want to fail if someone wrote this:

  instance Eq () where
    type Rep () = Maybe
    compare = undefined

Since neither the type family `Rep` nor the method `compare` belong to the
class `Eq`. Normally, this is caught in the renamer when resolving RdrNames,
since that would discover that the parent class `Eq` is incorrect.

However, there is a scenario in which the renamer could fail to catch this:
if the instance was generated through Template Haskell, as in #12387. In that
case, Template Haskell will provide fully resolved names (e.g.,
`GHC.Classes.compare`), so the renamer won't notice the sleight-of-hand going
on. For this reason, we also put an extra validity check for this in the
typechecker as a last resort.

Note [Avoid -Winaccessible-code when deriving]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Winaccessible-code can be particularly noisy when deriving instances for
GADTs. Consider the following example (adapted from #8128):

  data T a where
    MkT1 :: Int -> T Int
    MkT2 :: T Bool
    MkT3 :: T Bool
  deriving instance Eq (T a)
  deriving instance Ord (T a)

In the derived Ord instance, GHC will generate the following code:

  instance Ord (T a) where
    compare x y
      = case x of
          MkT2
            -> case y of
                 MkT1 {} -> GT
                 MkT2    -> EQ
                 _       -> LT
          ...

However, that MkT1 is unreachable, since the type indices for MkT1 and MkT2
differ, so if -Winaccessible-code is enabled, then deriving this instance will
result in unwelcome warnings.

One conceivable approach to fixing this issue would be to change `deriving Ord`
such that it becomes smarter about not generating unreachable cases. This,
however, would be a highly nontrivial refactor, as we'd have to propagate
through typing information everywhere in the algorithm that generates Ord
instances in order to determine which cases were unreachable. This seems like
a lot of work for minimal gain, so we have opted not to go for this approach.

Instead, we take the much simpler approach of always disabling
-Winaccessible-code for derived code. To accomplish this, we do the following:

1. In tcMethods (which typechecks method bindings), disable
   -Winaccessible-code.
2. When creating Implications during typechecking, record the Env
   (through ic_env) at the time of creation. Since the Env also stores
   DynFlags, this will remember that -Winaccessible-code was disabled over
   the scope of that implication.
3. After typechecking comes error reporting, where GHC must decide how to
   report inaccessible code to the user, on an Implication-by-Implication
   basis. If an Implication's DynFlags indicate that -Winaccessible-code was
   disabled, then don't bother reporting it. That's it!
-}

------------------------
tcMethodBody :: Class -> [TcTyVar] -> [EvVar] -> [TcType]
             -> TcEvBinds -> Bool
             -> HsSigFun
             -> [LTcSpecPrag] -> [LSig GhcRn]
             -> Id -> LHsBind GhcRn -> SrcSpan
             -> TcM (TcId, LHsBind GhcTc, Maybe Implication)
tcMethodBody clas tyvars dfun_ev_vars inst_tys
                     dfun_ev_binds is_derived
                     sig_fn spec_inst_prags prags
                     sel_id (L bind_loc meth_bind) bndr_loc
  = add_meth_ctxt $
    do { traceTc "tcMethodBody" (ppr sel_id <+> ppr (idType sel_id) $$ ppr bndr_loc)
       ; (global_meth_id, local_meth_id) <- setSrcSpan bndr_loc $
                                            mkMethIds clas tyvars dfun_ev_vars
                                                      inst_tys sel_id

       ; let lm_bind = meth_bind { fun_id = L bndr_loc (idName local_meth_id) }
                       -- Substitute the local_meth_name for the binder
                       -- NB: the binding is always a FunBind

            -- taking instance signature into account might change the type of
            -- the local_meth_id
       ; (meth_implic, ev_binds_var, tc_bind)
             <- checkInstConstraints $
                tcMethodBodyHelp sig_fn sel_id local_meth_id (L bind_loc lm_bind)

       ; global_meth_id <- addInlinePrags global_meth_id prags
       ; spec_prags     <- tcSpecPrags global_meth_id prags

        ; let specs  = mk_meth_spec_prags global_meth_id spec_inst_prags spec_prags
              export = ABE { abe_ext   = noExt
                           , abe_poly  = global_meth_id
                           , abe_mono  = local_meth_id
                           , abe_wrap  = idHsWrapper
                           , abe_prags = specs }

              local_ev_binds = TcEvBinds ev_binds_var
              full_bind = AbsBinds { abs_ext      = noExt
                                   , abs_tvs      = tyvars
                                   , abs_ev_vars  = dfun_ev_vars
                                   , abs_exports  = [export]
                                   , abs_ev_binds = [dfun_ev_binds, local_ev_binds]
                                   , abs_binds    = tc_bind
                                   , abs_sig      = True }

        ; return (global_meth_id, L bind_loc full_bind, Just meth_implic) }
  where
        -- For instance decls that come from deriving clauses
        -- we want to print out the full source code if there's an error
        -- because otherwise the user won't see the code at all
    add_meth_ctxt thing
      | is_derived = addLandmarkErrCtxt (derivBindCtxt sel_id clas inst_tys) thing
      | otherwise  = thing

tcMethodBodyHelp :: HsSigFun -> Id -> TcId
                 -> LHsBind GhcRn -> TcM (LHsBinds GhcTcId)
tcMethodBodyHelp hs_sig_fn sel_id local_meth_id meth_bind
  | Just hs_sig_ty <- hs_sig_fn sel_name
              -- There is a signature in the instance
              -- See Note [Instance method signatures]
  = do { let ctxt = FunSigCtxt sel_name True
       ; (sig_ty, hs_wrap)
             <- setSrcSpan (getLoc (hsSigType hs_sig_ty)) $
                do { inst_sigs <- xoptM LangExt.InstanceSigs
                   ; checkTc inst_sigs (misplacedInstSig sel_name hs_sig_ty)
                   ; sig_ty  <- tcHsSigType (FunSigCtxt sel_name False) hs_sig_ty
                   ; let local_meth_ty = idType local_meth_id
                   ; hs_wrap <- addErrCtxtM (methSigCtxt sel_name sig_ty local_meth_ty) $
                                tcSubType_NC ctxt sig_ty local_meth_ty
                   ; return (sig_ty, hs_wrap) }

       ; inner_meth_name <- newName (nameOccName sel_name)
       ; let inner_meth_id  = mkLocalId inner_meth_name sig_ty
             inner_meth_sig = CompleteSig { sig_bndr = inner_meth_id
                                          , sig_ctxt = ctxt
                                          , sig_loc  = getLoc (hsSigType hs_sig_ty) }

       ; (tc_bind, [inner_id]) <- tcPolyCheck no_prag_fn inner_meth_sig meth_bind

       ; let export = ABE { abe_ext   = noExt
                          , abe_poly  = local_meth_id
                          , abe_mono  = inner_id
                          , abe_wrap  = hs_wrap
                          , abe_prags = noSpecPrags }

       ; return (unitBag $ L (getLoc meth_bind) $
                 AbsBinds { abs_ext = noExt, abs_tvs = [], abs_ev_vars = []
                          , abs_exports = [export]
                          , abs_binds = tc_bind, abs_ev_binds = []
                          , abs_sig = True }) }

  | otherwise  -- No instance signature
  = do { let ctxt = FunSigCtxt sel_name False
                    -- False <=> don't report redundant constraints
                    -- The signature is not under the users control!
             tc_sig = completeSigFromId ctxt local_meth_id
              -- Absent a type sig, there are no new scoped type variables here
              -- Only the ones from the instance decl itself, which are already
              -- in scope.  Example:
              --      class C a where { op :: forall b. Eq b => ... }
              --      instance C [c] where { op = <rhs> }
              -- In <rhs>, 'c' is scope but 'b' is not!

       ; (tc_bind, _) <- tcPolyCheck no_prag_fn tc_sig meth_bind
       ; return tc_bind }

  where
    sel_name   = idName sel_id
    no_prag_fn = emptyPragEnv   -- No pragmas for local_meth_id;
                                -- they are all for meth_id

------------------------
mkMethIds :: Class -> [TcTyVar] -> [EvVar]
          -> [TcType] -> Id -> TcM (TcId, TcId)
             -- returns (poly_id, local_id), but ignoring any instance signature
             -- See Note [Instance method signatures]
mkMethIds clas tyvars dfun_ev_vars inst_tys sel_id
  = do  { poly_meth_name  <- newName (mkClassOpAuxOcc sel_occ)
        ; local_meth_name <- newName sel_occ
                  -- Base the local_meth_name on the selector name, because
                  -- type errors from tcMethodBody come from here
        ; let poly_meth_id  = mkLocalId poly_meth_name  poly_meth_ty
              local_meth_id = mkLocalId local_meth_name local_meth_ty

        ; return (poly_meth_id, local_meth_id) }
  where
    sel_name      = idName sel_id
    sel_occ       = nameOccName sel_name
    local_meth_ty = instantiateMethod clas sel_id inst_tys
    poly_meth_ty  = mkSpecSigmaTy tyvars theta local_meth_ty
    theta         = map idType dfun_ev_vars

methSigCtxt :: Name -> TcType -> TcType -> TidyEnv -> TcM (TidyEnv, MsgDoc)
methSigCtxt sel_name sig_ty meth_ty env0
  = do { (env1, sig_ty)  <- zonkTidyTcType env0 sig_ty
       ; (env2, meth_ty) <- zonkTidyTcType env1 meth_ty
       ; let msg = hang (text "When checking that instance signature for" <+> quotes (ppr sel_name))
                      2 (vcat [ text "is more general than its signature in the class"
                              , text "Instance sig:" <+> ppr sig_ty
                              , text "   Class sig:" <+> ppr meth_ty ])
       ; return (env2, msg) }

misplacedInstSig :: Name -> LHsSigType GhcRn -> SDoc
misplacedInstSig name hs_ty
  = vcat [ hang (text "Illegal type signature in instance declaration:")
              2 (hang (pprPrefixName name)
                    2 (dcolon <+> ppr hs_ty))
         , text "(Use InstanceSigs to allow this)" ]

{- Note [Instance method signatures]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
With -XInstanceSigs we allow the user to supply a signature for the
method in an instance declaration.  Here is an artificial example:

       data T a = MkT a
       instance Ord a => Ord (T a) where
         (>) :: forall b. b -> b -> Bool
         (>) = error "You can't compare Ts"

The instance signature can be *more* polymorphic than the instantiated
class method (in this case: Age -> Age -> Bool), but it cannot be less
polymorphic.  Moreover, if a signature is given, the implementation
code should match the signature, and type variables bound in the
singature should scope over the method body.

We achieve this by building a TcSigInfo for the method, whether or not
there is an instance method signature, and using that to typecheck
the declaration (in tcMethodBody).  That means, conveniently,
that the type variables bound in the signature will scope over the body.

What about the check that the instance method signature is more
polymorphic than the instantiated class method type?  We just do a
tcSubType call in tcMethodBodyHelp, and generate a nested AbsBind, like
this (for the example above

 AbsBind { abs_tvs = [a], abs_ev_vars = [d:Ord a]
         , abs_exports
             = ABExport { (>) :: forall a. Ord a => T a -> T a -> Bool
                        , gr_lcl :: T a -> T a -> Bool }
         , abs_binds
             = AbsBind { abs_tvs = [], abs_ev_vars = []
                       , abs_exports = ABExport { gr_lcl :: T a -> T a -> Bool
                                                , gr_inner :: forall b. b -> b -> Bool }
                       , abs_binds = AbsBind { abs_tvs = [b], abs_ev_vars = []
                                             , ..etc.. }
               } }

Wow!  Three nested AbsBinds!
 * The outer one abstracts over the tyvars and dicts for the instance
 * The middle one is only present if there is an instance signature,
   and does the impedance matching for that signature
 * The inner one is for the method binding itself against either the
   signature from the class, or the instance signature.
-}

----------------------
mk_meth_spec_prags :: Id -> [LTcSpecPrag] -> [LTcSpecPrag] -> TcSpecPrags
        -- Adapt the 'SPECIALISE instance' pragmas to work for this method Id
        -- There are two sources:
        --   * spec_prags_for_me: {-# SPECIALISE op :: <blah> #-}
        --   * spec_prags_from_inst: derived from {-# SPECIALISE instance :: <blah> #-}
        --     These ones have the dfun inside, but [perhaps surprisingly]
        --     the correct wrapper.
        -- See Note [Handling SPECIALISE pragmas] in TcBinds
mk_meth_spec_prags meth_id spec_inst_prags spec_prags_for_me
  = SpecPrags (spec_prags_for_me ++ spec_prags_from_inst)
  where
    spec_prags_from_inst
       | isInlinePragma (idInlinePragma meth_id)
       = []  -- Do not inherit SPECIALISE from the instance if the
             -- method is marked INLINE, because then it'll be inlined
             -- and the specialisation would do nothing. (Indeed it'll provoke
             -- a warning from the desugarer
       | otherwise
       = [ L inst_loc (SpecPrag meth_id wrap inl)
         | L inst_loc (SpecPrag _       wrap inl) <- spec_inst_prags]

mkDefMethBind :: Class -> [Type] -> Id -> Name
              -> TcM (LHsBind GhcRn, [LSig GhcRn])
-- The is a default method (vanailla or generic) defined in the class
-- So make a binding   op = $dmop @t1 @t2
-- where $dmop is the name of the default method in the class,
-- and t1,t2 are the instance types.
-- See Note [Default methods in instances] for why we use
-- visible type application here
mkDefMethBind clas inst_tys sel_id dm_name
  = do  { dflags <- getDynFlags
        ; dm_id <- tcLookupId dm_name
        ; let inline_prag = idInlinePragma dm_id
              inline_prags | isAnyInlinePragma inline_prag
                           = [noLoc (InlineSig noExt fn inline_prag)]
                           | otherwise
                           = []
                 -- Copy the inline pragma (if any) from the default method
                 -- to this version. Note [INLINE and default methods]

              fn   = noLoc (idName sel_id)
              visible_inst_tys = [ ty | (tcb, ty) <- tyConBinders (classTyCon clas) `zip` inst_tys
                                      , tyConBinderArgFlag tcb /= Inferred ]
              rhs  = foldl' mk_vta (nlHsVar dm_name) visible_inst_tys
              bind = noLoc $ mkTopFunBind Generated fn $
                             [mkSimpleMatch (mkPrefixFunRhs fn) [] rhs]

        ; liftIO (dumpIfSet_dyn dflags Opt_D_dump_deriv "Filling in method body"
                   (vcat [ppr clas <+> ppr inst_tys,
                          nest 2 (ppr sel_id <+> equals <+> ppr rhs)]))

       ; return (bind, inline_prags) }
  where
    mk_vta :: LHsExpr GhcRn -> Type -> LHsExpr GhcRn
    mk_vta fun ty = noLoc (HsAppType noExt fun (mkEmptyWildCardBndrs $ nlHsParTy
                                                $ noLoc $ XHsType $ NHsCoreTy ty))
       -- NB: use visible type application
       -- See Note [Default methods in instances]

----------------------
derivBindCtxt :: Id -> Class -> [Type ] -> SDoc
derivBindCtxt sel_id clas tys
   = vcat [ text "When typechecking the code for" <+> quotes (ppr sel_id)
          , nest 2 (text "in a derived instance for"
                    <+> quotes (pprClassPred clas tys) <> colon)
          , nest 2 $ text "To see the code I am typechecking, use -ddump-deriv" ]

warnUnsatisfiedMinimalDefinition :: ClassMinimalDef -> TcM ()
warnUnsatisfiedMinimalDefinition mindef
  = do { warn <- woptM Opt_WarnMissingMethods
       ; warnTc (Reason Opt_WarnMissingMethods) warn message
       }
  where
    message = vcat [text "No explicit implementation for"
                   ,nest 2 $ pprBooleanFormulaNice mindef
                   ]

{-
Note [Export helper functions]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We arrange to export the "helper functions" of an instance declaration,
so that they are not subject to preInlineUnconditionally, even if their
RHS is trivial.  Reason: they are mentioned in the DFunUnfolding of
the dict fun as Ids, not as CoreExprs, so we can't substitute a
non-variable for them.

We could change this by making DFunUnfoldings have CoreExprs, but it
seems a bit simpler this way.

Note [Default methods in instances]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider this

   class Baz v x where
      foo :: x -> x
      foo y = <blah>

   instance Baz Int Int

From the class decl we get

   $dmfoo :: forall v x. Baz v x => x -> x
   $dmfoo y = <blah>

Notice that the type is ambiguous.  So we use Visible Type Application
to disambiguate:

   $dBazIntInt = MkBaz fooIntInt
   fooIntInt = $dmfoo @Int @Int

Lacking VTA we'd get ambiguity errors involving the default method.  This applies
equally to vanilla default methods (Trac #1061) and generic default methods
(Trac #12220).

Historical note: before we had VTA we had to generate
post-type-checked code, which took a lot more code, and didn't work for
generic default methods.

Note [INLINE and default methods]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Default methods need special case.  They are supposed to behave rather like
macros.  For example

  class Foo a where
    op1, op2 :: Bool -> a -> a

    {-# INLINE op1 #-}
    op1 b x = op2 (not b) x

  instance Foo Int where
    -- op1 via default method
    op2 b x = <blah>

The instance declaration should behave

   just as if 'op1' had been defined with the
   code, and INLINE pragma, from its original
   definition.

That is, just as if you'd written

  instance Foo Int where
    op2 b x = <blah>

    {-# INLINE op1 #-}
    op1 b x = op2 (not b) x

So for the above example we generate:

  {-# INLINE $dmop1 #-}
  -- $dmop1 has an InlineCompulsory unfolding
  $dmop1 d b x = op2 d (not b) x

  $fFooInt = MkD $cop1 $cop2

  {-# INLINE $cop1 #-}
  $cop1 = $dmop1 $fFooInt

  $cop2 = <blah>

Note carefully:

* We *copy* any INLINE pragma from the default method $dmop1 to the
  instance $cop1.  Otherwise we'll just inline the former in the
  latter and stop, which isn't what the user expected

* Regardless of its pragma, we give the default method an
  unfolding with an InlineCompulsory source. That means
  that it'll be inlined at every use site, notably in
  each instance declaration, such as $cop1.  This inlining
  must happen even though
    a) $dmop1 is not saturated in $cop1
    b) $cop1 itself has an INLINE pragma

  It's vital that $dmop1 *is* inlined in this way, to allow the mutual
  recursion between $fooInt and $cop1 to be broken

* To communicate the need for an InlineCompulsory to the desugarer
  (which makes the Unfoldings), we use the IsDefaultMethod constructor
  in TcSpecPrags.

************************************************************************
*                                                                      *
        Specialise instance pragmas
*                                                                      *
************************************************************************

Note [SPECIALISE instance pragmas]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider

   instance (Ix a, Ix b) => Ix (a,b) where
     {-# SPECIALISE instance Ix (Int,Int) #-}
     range (x,y) = ...

We make a specialised version of the dictionary function, AND
specialised versions of each *method*.  Thus we should generate
something like this:

  $dfIxPair :: (Ix a, Ix b) => Ix (a,b)
  {-# DFUN [$crangePair, ...] #-}
  {-# SPECIALISE $dfIxPair :: Ix (Int,Int) #-}
  $dfIxPair da db = Ix ($crangePair da db) (...other methods...)

  $crange :: (Ix a, Ix b) -> ((a,b),(a,b)) -> [(a,b)]
  {-# SPECIALISE $crange :: ((Int,Int),(Int,Int)) -> [(Int,Int)] #-}
  $crange da db = <blah>

The SPECIALISE pragmas are acted upon by the desugarer, which generate

  dii :: Ix Int
  dii = ...

  $s$dfIxPair :: Ix ((Int,Int),(Int,Int))
  {-# DFUN [$crangePair di di, ...] #-}
  $s$dfIxPair = Ix ($crangePair di di) (...)

  {-# RULE forall (d1,d2:Ix Int). $dfIxPair Int Int d1 d2 = $s$dfIxPair #-}

  $s$crangePair :: ((Int,Int),(Int,Int)) -> [(Int,Int)]
  $c$crangePair = ...specialised RHS of $crangePair...

  {-# RULE forall (d1,d2:Ix Int). $crangePair Int Int d1 d2 = $s$crangePair #-}

Note that

  * The specialised dictionary $s$dfIxPair is very much needed, in case we
    call a function that takes a dictionary, but in a context where the
    specialised dictionary can be used.  See Trac #7797.

  * The ClassOp rule for 'range' works equally well on $s$dfIxPair, because
    it still has a DFunUnfolding.  See Note [ClassOp/DFun selection]

  * A call (range ($dfIxPair Int Int d1 d2)) might simplify two ways:
       --> {ClassOp rule for range}     $crangePair Int Int d1 d2
       --> {SPEC rule for $crangePair}  $s$crangePair
    or thus:
       --> {SPEC rule for $dfIxPair}    range $s$dfIxPair
       --> {ClassOpRule for range}      $s$crangePair
    It doesn't matter which way.

  * We want to specialise the RHS of both $dfIxPair and $crangePair,
    but the SAME HsWrapper will do for both!  We can call tcSpecPrag
    just once, and pass the result (in spec_inst_info) to tcMethods.
-}

tcSpecInstPrags :: DFunId -> InstBindings GhcRn
                -> TcM ([Located TcSpecPrag], TcPragEnv)
tcSpecInstPrags dfun_id (InstBindings { ib_binds = binds, ib_pragmas = uprags })
  = do { spec_inst_prags <- mapM (wrapLocM (tcSpecInst dfun_id)) $
                            filter isSpecInstLSig uprags
             -- The filter removes the pragmas for methods
       ; return (spec_inst_prags, mkPragEnv uprags binds) }

------------------------------
tcSpecInst :: Id -> Sig GhcRn -> TcM TcSpecPrag
tcSpecInst dfun_id prag@(SpecInstSig _ _ hs_ty)
  = addErrCtxt (spec_ctxt prag) $
    do  { spec_dfun_ty <- tcHsClsInstType SpecInstCtxt hs_ty
        ; co_fn <- tcSpecWrapper SpecInstCtxt (idType dfun_id) spec_dfun_ty
        ; return (SpecPrag dfun_id co_fn defaultInlinePragma) }
  where
    spec_ctxt prag = hang (text "In the SPECIALISE pragma") 2 (ppr prag)

tcSpecInst _  _ = panic "tcSpecInst"

{-
************************************************************************
*                                                                      *
\subsection{Error messages}
*                                                                      *
************************************************************************
-}

instDeclCtxt1 :: LHsSigType GhcRn -> SDoc
instDeclCtxt1 hs_inst_ty
  = inst_decl_ctxt (ppr (getLHsInstDeclHead hs_inst_ty))

instDeclCtxt2 :: Type -> SDoc
instDeclCtxt2 dfun_ty
  = inst_decl_ctxt (ppr (mkClassPred cls tys))
  where
    (_,_,cls,tys) = tcSplitDFunTy dfun_ty

inst_decl_ctxt :: SDoc -> SDoc
inst_decl_ctxt doc = hang (text "In the instance declaration for")
                        2 (quotes doc)

badBootFamInstDeclErr :: SDoc
badBootFamInstDeclErr
  = text "Illegal family instance in hs-boot file"

notFamily :: TyCon -> SDoc
notFamily tycon
  = vcat [ text "Illegal family instance for" <+> quotes (ppr tycon)
         , nest 2 $ parens (ppr tycon <+> text "is not an indexed type family")]

assocInClassErr :: TyCon -> SDoc
assocInClassErr name
 = text "Associated type" <+> quotes (ppr name) <+>
   text "must be inside a class instance"

badFamInstDecl :: TyCon -> SDoc
badFamInstDecl tc_name
  = vcat [ text "Illegal family instance for" <+>
           quotes (ppr tc_name)
         , nest 2 (parens $ text "Use TypeFamilies to allow indexed type families") ]

notOpenFamily :: TyCon -> SDoc
notOpenFamily tc
  = text "Illegal instance for closed family" <+> quotes (ppr tc)