{-# LANGUAGE CPP #-}

module TcInteract (
     solveSimpleGivens,   -- Solves [Ct]
     solveSimpleWanteds,  -- Solves Cts
  ) where

#include "HsVersions.h"

import GhcPrelude
import BasicTypes ( SwapFlag(..), isSwapped,
                    infinity, IntWithInf, intGtLimit )
import TcCanonical
import TcFlatten
import TcUnify( canSolveByUnification )
import VarSet
import Type
import InstEnv( DFunInstType )
import CoAxiom( sfInteractTop, sfInteractInert )

import Var
import TcType
import PrelNames ( coercibleTyConKey,
                   heqTyConKey, eqTyConKey, ipClassKey )
import CoAxiom ( TypeEqn, CoAxiom(..), CoAxBranch(..), fromBranches )
import Class
import TyCon
import FunDeps
import FamInst
import ClsInst( InstanceWhat(..), safeOverlap )
import FamInstEnv
import Unify ( tcUnifyTyWithTFs, ruleMatchTyKiX )

import TcEvidence
import Outputable

import TcRnTypes
import TcSMonad
import Bag
import MonadUtils ( concatMapM, foldlM )

import CoreSyn
import Data.List( partition, deleteFirstsBy )
import SrcLoc
import VarEnv

import Control.Monad
import Maybes( isJust )
import Pair (Pair(..))
import Unique( hasKey )
import DynFlags
import Util
import qualified GHC.LanguageExtensions as LangExt

import Control.Monad.Trans.Class
import Control.Monad.Trans.Maybe

{-
**********************************************************************
*                                                                    *
*                      Main Interaction Solver                       *
*                                                                    *
**********************************************************************

Note [Basic Simplifier Plan]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1. Pick an element from the WorkList if there exists one with depth
   less than our context-stack depth.

2. Run it down the 'stage' pipeline. Stages are:
      - canonicalization
      - inert reactions
      - spontaneous reactions
      - top-level intreactions
   Each stage returns a StopOrContinue and may have sideffected
   the inerts or worklist.

   The threading of the stages is as follows:
      - If (Stop) is returned by a stage then we start again from Step 1.
      - If (ContinueWith ct) is returned by a stage, we feed 'ct' on to
        the next stage in the pipeline.
4. If the element has survived (i.e. ContinueWith x) the last stage
   then we add him in the inerts and jump back to Step 1.

If in Step 1 no such element exists, we have exceeded our context-stack
depth and will simply fail.

Note [Unflatten after solving the simple wanteds]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We unflatten after solving the wc_simples of an implication, and before attempting
to float. This means that

 * The fsk/fmv flatten-skolems only survive during solveSimples.  We don't
   need to worry about them across successive passes over the constraint tree.
   (E.g. we don't need the old ic_fsk field of an implication.

 * When floating an equality outwards, we don't need to worry about floating its
   associated flattening constraints.

 * Another tricky case becomes easy: Trac #4935
       type instance F True a b = a
       type instance F False a b = b

       [w] F c a b ~ gamma
       (c ~ True) => a ~ gamma
       (c ~ False) => b ~ gamma

   Obviously this is soluble with gamma := F c a b, and unflattening
   will do exactly that after solving the simple constraints and before
   attempting the implications.  Before, when we were not unflattening,
   we had to push Wanted funeqs in as new givens.  Yuk!

   Another example that becomes easy: indexed_types/should_fail/T7786
      [W] BuriedUnder sub k Empty ~ fsk
      [W] Intersect fsk inv ~ s
      [w] xxx[1] ~ s
      [W] forall[2] . (xxx[1] ~ Empty)
                   => Intersect (BuriedUnder sub k Empty) inv ~ Empty

Note [Running plugins on unflattened wanteds]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
There is an annoying mismatch between solveSimpleGivens and
solveSimpleWanteds, because the latter needs to fiddle with the inert
set, unflatten and zonk the wanteds.  It passes the zonked wanteds
to runTcPluginsWanteds, which produces a replacement set of wanteds,
some additional insolubles and a flag indicating whether to go round
the loop again.  If so, prepareInertsForImplications is used to remove
the previous wanteds (which will still be in the inert set).  Note
that prepareInertsForImplications will discard the insolubles, so we
must keep track of them separately.
-}

solveSimpleGivens :: [Ct] -> TcS ()
solveSimpleGivens :: [Ct] -> TcS ()
solveSimpleGivens givens :: [Ct]
givens
  | [Ct] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null [Ct]
givens  -- Shortcut for common case
  = () -> TcS ()
forall (m :: * -> *) a. Monad m => a -> m a
return ()
  | Bool
otherwise
  = do { String -> SDoc -> TcS ()
traceTcS "solveSimpleGivens {" ([Ct] -> SDoc
forall a. Outputable a => a -> SDoc
ppr [Ct]
givens)
       ; [Ct] -> TcS ()
go [Ct]
givens
       ; String -> SDoc -> TcS ()
traceTcS "End solveSimpleGivens }" SDoc
empty }
  where
    go :: [Ct] -> TcS ()
go givens :: [Ct]
givens = do { Cts -> TcS ()
solveSimples ([Ct] -> Cts
forall a. [a] -> Bag a
listToBag [Ct]
givens)
                   ; [Ct]
new_givens <- TcS [Ct]
runTcPluginsGiven
                   ; Bool -> TcS () -> TcS ()
forall (f :: * -> *). Applicative f => Bool -> f () -> f ()
when ([Ct] -> Bool
forall a. [a] -> Bool
notNull [Ct]
new_givens) (TcS () -> TcS ()) -> TcS () -> TcS ()
forall a b. (a -> b) -> a -> b
$
                     [Ct] -> TcS ()
go [Ct]
new_givens }

solveSimpleWanteds :: Cts -> TcS WantedConstraints
-- NB: 'simples' may contain /derived/ equalities, floated
--     out from a nested implication. So don't discard deriveds!
-- The result is not necessarily zonked
solveSimpleWanteds :: Cts -> TcS WantedConstraints
solveSimpleWanteds simples :: Cts
simples
  = do { String -> SDoc -> TcS ()
traceTcS "solveSimpleWanteds {" (Cts -> SDoc
forall a. Outputable a => a -> SDoc
ppr Cts
simples)
       ; DynFlags
dflags <- TcS DynFlags
forall (m :: * -> *). HasDynFlags m => m DynFlags
getDynFlags
       ; (n :: Int
n,wc :: WantedConstraints
wc) <- Int
-> IntWithInf -> WantedConstraints -> TcS (Int, WantedConstraints)
go 1 (DynFlags -> IntWithInf
solverIterations DynFlags
dflags) (WantedConstraints
emptyWC { wc_simple :: Cts
wc_simple = Cts
simples })
       ; String -> SDoc -> TcS ()
traceTcS "solveSimpleWanteds end }" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$
             [SDoc] -> SDoc
vcat [ String -> SDoc
text "iterations =" SDoc -> SDoc -> SDoc
<+> Int -> SDoc
forall a. Outputable a => a -> SDoc
ppr Int
n
                  , String -> SDoc
text "residual =" SDoc -> SDoc -> SDoc
<+> WantedConstraints -> SDoc
forall a. Outputable a => a -> SDoc
ppr WantedConstraints
wc ]
       ; WantedConstraints -> TcS WantedConstraints
forall (m :: * -> *) a. Monad m => a -> m a
return WantedConstraints
wc }
  where
    go :: Int -> IntWithInf -> WantedConstraints -> TcS (Int, WantedConstraints)
    go :: Int
-> IntWithInf -> WantedConstraints -> TcS (Int, WantedConstraints)
go n :: Int
n limit :: IntWithInf
limit wc :: WantedConstraints
wc
      | Int
n Int -> IntWithInf -> Bool
`intGtLimit` IntWithInf
limit
      = SDoc -> TcS (Int, WantedConstraints)
forall a. SDoc -> TcS a
failTcS (SDoc -> Int -> SDoc -> SDoc
hang (String -> SDoc
text "solveSimpleWanteds: too many iterations"
                       SDoc -> SDoc -> SDoc
<+> SDoc -> SDoc
parens (String -> SDoc
text "limit =" SDoc -> SDoc -> SDoc
<+> IntWithInf -> SDoc
forall a. Outputable a => a -> SDoc
ppr IntWithInf
limit))
                    2 ([SDoc] -> SDoc
vcat [ String -> SDoc
text "Set limit with -fconstraint-solver-iterations=n; n=0 for no limit"
                            , String -> SDoc
text "Simples =" SDoc -> SDoc -> SDoc
<+> Cts -> SDoc
forall a. Outputable a => a -> SDoc
ppr Cts
simples
                            , String -> SDoc
text "WC ="      SDoc -> SDoc -> SDoc
<+> WantedConstraints -> SDoc
forall a. Outputable a => a -> SDoc
ppr WantedConstraints
wc ]))

     | Cts -> Bool
forall a. Bag a -> Bool
isEmptyBag (WantedConstraints -> Cts
wc_simple WantedConstraints
wc)
     = (Int, WantedConstraints) -> TcS (Int, WantedConstraints)
forall (m :: * -> *) a. Monad m => a -> m a
return (Int
n,WantedConstraints
wc)

     | Bool
otherwise
     = do { -- Solve
            (unif_count :: Int
unif_count, wc1 :: WantedConstraints
wc1) <- WantedConstraints -> TcS (Int, WantedConstraints)
solve_simple_wanteds WantedConstraints
wc

            -- Run plugins
          ; (rerun_plugin :: Bool
rerun_plugin, wc2 :: WantedConstraints
wc2) <- WantedConstraints -> TcS (Bool, WantedConstraints)
runTcPluginsWanted WantedConstraints
wc1
             -- See Note [Running plugins on unflattened wanteds]

          ; if Int
unif_count Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 0 Bool -> Bool -> Bool
&& Bool -> Bool
not Bool
rerun_plugin
            then (Int, WantedConstraints) -> TcS (Int, WantedConstraints)
forall (m :: * -> *) a. Monad m => a -> m a
return (Int
n, WantedConstraints
wc2)             -- Done
            else do { String -> SDoc -> TcS ()
traceTcS "solveSimple going round again:" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$
                      Int -> SDoc
forall a. Outputable a => a -> SDoc
ppr Int
unif_count SDoc -> SDoc -> SDoc
$$ Bool -> SDoc
forall a. Outputable a => a -> SDoc
ppr Bool
rerun_plugin
                    ; Int
-> IntWithInf -> WantedConstraints -> TcS (Int, WantedConstraints)
go (Int
nInt -> Int -> Int
forall a. Num a => a -> a -> a
+1) IntWithInf
limit WantedConstraints
wc2 } }      -- Loop


solve_simple_wanteds :: WantedConstraints -> TcS (Int, WantedConstraints)
-- Try solving these constraints
-- Affects the unification state (of course) but not the inert set
-- The result is not necessarily zonked
solve_simple_wanteds :: WantedConstraints -> TcS (Int, WantedConstraints)
solve_simple_wanteds (WC { wc_simple :: WantedConstraints -> Cts
wc_simple = Cts
simples1, wc_impl :: WantedConstraints -> Bag Implication
wc_impl = Bag Implication
implics1 })
  = TcS (Int, WantedConstraints) -> TcS (Int, WantedConstraints)
forall a. TcS a -> TcS a
nestTcS (TcS (Int, WantedConstraints) -> TcS (Int, WantedConstraints))
-> TcS (Int, WantedConstraints) -> TcS (Int, WantedConstraints)
forall a b. (a -> b) -> a -> b
$
    do { Cts -> TcS ()
solveSimples Cts
simples1
       ; (implics2 :: Bag Implication
implics2, tv_eqs :: Cts
tv_eqs, fun_eqs :: Cts
fun_eqs, others :: Cts
others) <- TcS (Bag Implication, Cts, Cts, Cts)
getUnsolvedInerts
       ; (unif_count :: Int
unif_count, unflattened_eqs :: Cts
unflattened_eqs) <- TcS Cts -> TcS (Int, Cts)
forall a. TcS a -> TcS (Int, a)
reportUnifications (TcS Cts -> TcS (Int, Cts)) -> TcS Cts -> TcS (Int, Cts)
forall a b. (a -> b) -> a -> b
$
                                          Cts -> Cts -> TcS Cts
unflattenWanteds Cts
tv_eqs Cts
fun_eqs
            -- See Note [Unflatten after solving the simple wanteds]
       ; (Int, WantedConstraints) -> TcS (Int, WantedConstraints)
forall (m :: * -> *) a. Monad m => a -> m a
return ( Int
unif_count
                , WC :: Cts -> Bag Implication -> WantedConstraints
WC { wc_simple :: Cts
wc_simple = Cts
others Cts -> Cts -> Cts
`andCts` Cts
unflattened_eqs
                     , wc_impl :: Bag Implication
wc_impl   = Bag Implication
implics1 Bag Implication -> Bag Implication -> Bag Implication
forall a. Bag a -> Bag a -> Bag a
`unionBags` Bag Implication
implics2 }) }

{- Note [The solveSimpleWanteds loop]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solving a bunch of simple constraints is done in a loop,
(the 'go' loop of 'solveSimpleWanteds'):
  1. Try to solve them; unflattening may lead to improvement that
     was not exploitable during solving
  2. Try the plugin
  3. If step 1 did improvement during unflattening; or if the plugin
     wants to run again, go back to step 1

Non-obviously, improvement can also take place during
the unflattening that takes place in step (1). See TcFlatten,
See Note [Unflattening can force the solver to iterate]
-}

-- The main solver loop implements Note [Basic Simplifier Plan]
---------------------------------------------------------------
solveSimples :: Cts -> TcS ()
-- Returns the final InertSet in TcS
-- Has no effect on work-list or residual-implications
-- The constraints are initially examined in left-to-right order

solveSimples :: Cts -> TcS ()
solveSimples cts :: Cts
cts
  = {-# SCC "solveSimples" #-}
    do { (WorkList -> WorkList) -> TcS ()
updWorkListTcS (\wl :: WorkList
wl -> (Ct -> WorkList -> WorkList) -> WorkList -> Cts -> WorkList
forall a r. (a -> r -> r) -> r -> Bag a -> r
foldrBag Ct -> WorkList -> WorkList
extendWorkListCt WorkList
wl Cts
cts)
       ; TcS ()
solve_loop }
  where
    solve_loop :: TcS ()
solve_loop
      = {-# SCC "solve_loop" #-}
        do { Maybe Ct
sel <- TcS (Maybe Ct)
selectNextWorkItem
           ; case Maybe Ct
sel of
              Nothing -> () -> TcS ()
forall (m :: * -> *) a. Monad m => a -> m a
return ()
              Just ct :: Ct
ct -> do { [(String, SimplifierStage)] -> Ct -> TcS ()
runSolverPipeline [(String, SimplifierStage)]
thePipeline Ct
ct
                            ; TcS ()
solve_loop } }

-- | Extract the (inert) givens and invoke the plugins on them.
-- Remove solved givens from the inert set and emit insolubles, but
-- return new work produced so that 'solveSimpleGivens' can feed it back
-- into the main solver.
runTcPluginsGiven :: TcS [Ct]
runTcPluginsGiven :: TcS [Ct]
runTcPluginsGiven
  = do { [TcPluginSolver]
plugins <- TcS [TcPluginSolver]
getTcPlugins
       ; if [TcPluginSolver] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null [TcPluginSolver]
plugins then [Ct] -> TcS [Ct]
forall (m :: * -> *) a. Monad m => a -> m a
return [] else
    do { [Ct]
givens <- TcS [Ct]
getInertGivens
       ; if [Ct] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null [Ct]
givens then [Ct] -> TcS [Ct]
forall (m :: * -> *) a. Monad m => a -> m a
return [] else
    do { TcPluginProgress
p <- [TcPluginSolver] -> SplitCts -> TcS TcPluginProgress
runTcPlugins [TcPluginSolver]
plugins ([Ct]
givens,[],[])
       ; let (solved_givens :: [Ct]
solved_givens, _, _) = TcPluginProgress -> ([Ct], [Ct], [(EvTerm, Ct)])
pluginSolvedCts TcPluginProgress
p
             insols :: [Ct]
insols                = TcPluginProgress -> [Ct]
pluginBadCts TcPluginProgress
p
       ; (InertCans -> InertCans) -> TcS ()
updInertCans ([Ct] -> InertCans -> InertCans
removeInertCts [Ct]
solved_givens)
       ; (Cts -> Cts) -> TcS ()
updInertIrreds (\irreds :: Cts
irreds -> Cts -> [Ct] -> Cts
extendCtsList Cts
irreds [Ct]
insols)
       ; [Ct] -> TcS [Ct]
forall (m :: * -> *) a. Monad m => a -> m a
return (TcPluginProgress -> [Ct]
pluginNewCts TcPluginProgress
p) } } }

-- | Given a bag of (flattened, zonked) wanteds, invoke the plugins on
-- them and produce an updated bag of wanteds (possibly with some new
-- work) and a bag of insolubles.  The boolean indicates whether
-- 'solveSimpleWanteds' should feed the updated wanteds back into the
-- main solver.
runTcPluginsWanted :: WantedConstraints -> TcS (Bool, WantedConstraints)
runTcPluginsWanted :: WantedConstraints -> TcS (Bool, WantedConstraints)
runTcPluginsWanted wc :: WantedConstraints
wc@(WC { wc_simple :: WantedConstraints -> Cts
wc_simple = Cts
simples1, wc_impl :: WantedConstraints -> Bag Implication
wc_impl = Bag Implication
implics1 })
  | Cts -> Bool
forall a. Bag a -> Bool
isEmptyBag Cts
simples1
  = (Bool, WantedConstraints) -> TcS (Bool, WantedConstraints)
forall (m :: * -> *) a. Monad m => a -> m a
return (Bool
False, WantedConstraints
wc)
  | Bool
otherwise
  = do { [TcPluginSolver]
plugins <- TcS [TcPluginSolver]
getTcPlugins
       ; if [TcPluginSolver] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null [TcPluginSolver]
plugins then (Bool, WantedConstraints) -> TcS (Bool, WantedConstraints)
forall (m :: * -> *) a. Monad m => a -> m a
return (Bool
False, WantedConstraints
wc) else

    do { [Ct]
given <- TcS [Ct]
getInertGivens
       ; Cts
simples1 <- Cts -> TcS Cts
zonkSimples Cts
simples1    -- Plugin requires zonked inputs
       ; let (wanted :: [Ct]
wanted, derived :: [Ct]
derived) = (Ct -> Bool) -> [Ct] -> ([Ct], [Ct])
forall a. (a -> Bool) -> [a] -> ([a], [a])
partition Ct -> Bool
isWantedCt (Cts -> [Ct]
forall a. Bag a -> [a]
bagToList Cts
simples1)
       ; TcPluginProgress
p <- [TcPluginSolver] -> SplitCts -> TcS TcPluginProgress
runTcPlugins [TcPluginSolver]
plugins ([Ct]
given, [Ct]
derived, [Ct]
wanted)
       ; let (_, _,                solved_wanted :: [(EvTerm, Ct)]
solved_wanted)   = TcPluginProgress -> ([Ct], [Ct], [(EvTerm, Ct)])
pluginSolvedCts TcPluginProgress
p
             (_, unsolved_derived :: [Ct]
unsolved_derived, unsolved_wanted :: [Ct]
unsolved_wanted) = TcPluginProgress -> SplitCts
pluginInputCts TcPluginProgress
p
             new_wanted :: [Ct]
new_wanted                             = TcPluginProgress -> [Ct]
pluginNewCts TcPluginProgress
p
             insols :: [Ct]
insols                                 = TcPluginProgress -> [Ct]
pluginBadCts TcPluginProgress
p

-- SLPJ: I'm deeply suspicious of this
--       ; updInertCans (removeInertCts $ solved_givens ++ solved_deriveds)

       ; ((EvTerm, Ct) -> TcS ()) -> [(EvTerm, Ct)] -> TcS ()
forall (t :: * -> *) (m :: * -> *) a b.
(Foldable t, Monad m) =>
(a -> m b) -> t a -> m ()
mapM_ (EvTerm, Ct) -> TcS ()
setEv [(EvTerm, Ct)]
solved_wanted
       ; (Bool, WantedConstraints) -> TcS (Bool, WantedConstraints)
forall (m :: * -> *) a. Monad m => a -> m a
return ( [Ct] -> Bool
forall a. [a] -> Bool
notNull (TcPluginProgress -> [Ct]
pluginNewCts TcPluginProgress
p)
                , WC :: Cts -> Bag Implication -> WantedConstraints
WC { wc_simple :: Cts
wc_simple = [Ct] -> Cts
forall a. [a] -> Bag a
listToBag [Ct]
new_wanted       Cts -> Cts -> Cts
`andCts`
                                   [Ct] -> Cts
forall a. [a] -> Bag a
listToBag [Ct]
unsolved_wanted  Cts -> Cts -> Cts
`andCts`
                                   [Ct] -> Cts
forall a. [a] -> Bag a
listToBag [Ct]
unsolved_derived Cts -> Cts -> Cts
`andCts`
                                   [Ct] -> Cts
forall a. [a] -> Bag a
listToBag [Ct]
insols
                     , wc_impl :: Bag Implication
wc_impl   = Bag Implication
implics1 } ) } }
  where
    setEv :: (EvTerm,Ct) -> TcS ()
    setEv :: (EvTerm, Ct) -> TcS ()
setEv (ev :: EvTerm
ev,ct :: Ct
ct) = case Ct -> CtEvidence
ctEvidence Ct
ct of
      CtWanted { ctev_dest :: CtEvidence -> TcEvDest
ctev_dest = TcEvDest
dest } -> TcEvDest -> EvTerm -> TcS ()
setWantedEvTerm TcEvDest
dest EvTerm
ev
      _ -> String -> TcS ()
forall a. String -> a
panic "runTcPluginsWanted.setEv: attempt to solve non-wanted!"

-- | A triple of (given, derived, wanted) constraints to pass to plugins
type SplitCts  = ([Ct], [Ct], [Ct])

-- | A solved triple of constraints, with evidence for wanteds
type SolvedCts = ([Ct], [Ct], [(EvTerm,Ct)])

-- | Represents collections of constraints generated by typechecker
-- plugins
data TcPluginProgress = TcPluginProgress
    { TcPluginProgress -> SplitCts
pluginInputCts  :: SplitCts
      -- ^ Original inputs to the plugins with solved/bad constraints
      -- removed, but otherwise unmodified
    , TcPluginProgress -> ([Ct], [Ct], [(EvTerm, Ct)])
pluginSolvedCts :: SolvedCts
      -- ^ Constraints solved by plugins
    , TcPluginProgress -> [Ct]
pluginBadCts    :: [Ct]
      -- ^ Constraints reported as insoluble by plugins
    , TcPluginProgress -> [Ct]
pluginNewCts    :: [Ct]
      -- ^ New constraints emitted by plugins
    }

getTcPlugins :: TcS [TcPluginSolver]
getTcPlugins :: TcS [TcPluginSolver]
getTcPlugins = do { TcGblEnv
tcg_env <- TcS TcGblEnv
getGblEnv; [TcPluginSolver] -> TcS [TcPluginSolver]
forall (m :: * -> *) a. Monad m => a -> m a
return (TcGblEnv -> [TcPluginSolver]
tcg_tc_plugins TcGblEnv
tcg_env) }

-- | Starting from a triple of (given, derived, wanted) constraints,
-- invoke each of the typechecker plugins in turn and return
--
--  * the remaining unmodified constraints,
--  * constraints that have been solved,
--  * constraints that are insoluble, and
--  * new work.
--
-- Note that new work generated by one plugin will not be seen by
-- other plugins on this pass (but the main constraint solver will be
-- re-invoked and they will see it later).  There is no check that new
-- work differs from the original constraints supplied to the plugin:
-- the plugin itself should perform this check if necessary.
runTcPlugins :: [TcPluginSolver] -> SplitCts -> TcS TcPluginProgress
runTcPlugins :: [TcPluginSolver] -> SplitCts -> TcS TcPluginProgress
runTcPlugins plugins :: [TcPluginSolver]
plugins all_cts :: SplitCts
all_cts
  = (TcPluginProgress -> TcPluginSolver -> TcS TcPluginProgress)
-> TcPluginProgress -> [TcPluginSolver] -> TcS TcPluginProgress
forall (t :: * -> *) (m :: * -> *) b a.
(Foldable t, Monad m) =>
(b -> a -> m b) -> b -> t a -> m b
foldM TcPluginProgress -> TcPluginSolver -> TcS TcPluginProgress
do_plugin TcPluginProgress
initialProgress [TcPluginSolver]
plugins
  where
    do_plugin :: TcPluginProgress -> TcPluginSolver -> TcS TcPluginProgress
    do_plugin :: TcPluginProgress -> TcPluginSolver -> TcS TcPluginProgress
do_plugin p :: TcPluginProgress
p solver :: TcPluginSolver
solver = do
        TcPluginResult
result <- TcPluginM TcPluginResult -> TcS TcPluginResult
forall a. TcPluginM a -> TcS a
runTcPluginTcS (TcPluginSolver -> SplitCts -> TcPluginM TcPluginResult
forall a b c d. (a -> b -> c -> d) -> (a, b, c) -> d
uncurry3 TcPluginSolver
solver (TcPluginProgress -> SplitCts
pluginInputCts TcPluginProgress
p))
        TcPluginProgress -> TcS TcPluginProgress
forall (m :: * -> *) a. Monad m => a -> m a
return (TcPluginProgress -> TcS TcPluginProgress)
-> TcPluginProgress -> TcS TcPluginProgress
forall a b. (a -> b) -> a -> b
$ TcPluginProgress -> TcPluginResult -> TcPluginProgress
progress TcPluginProgress
p TcPluginResult
result

    progress :: TcPluginProgress -> TcPluginResult -> TcPluginProgress
    progress :: TcPluginProgress -> TcPluginResult -> TcPluginProgress
progress p :: TcPluginProgress
p (TcPluginContradiction bad_cts :: [Ct]
bad_cts) =
       TcPluginProgress
p { pluginInputCts :: SplitCts
pluginInputCts = [Ct] -> SplitCts -> SplitCts
discard [Ct]
bad_cts (TcPluginProgress -> SplitCts
pluginInputCts TcPluginProgress
p)
         , pluginBadCts :: [Ct]
pluginBadCts   = [Ct]
bad_cts [Ct] -> [Ct] -> [Ct]
forall a. [a] -> [a] -> [a]
++ TcPluginProgress -> [Ct]
pluginBadCts TcPluginProgress
p
         }
    progress p :: TcPluginProgress
p (TcPluginOk solved_cts :: [(EvTerm, Ct)]
solved_cts new_cts :: [Ct]
new_cts) =
      TcPluginProgress
p { pluginInputCts :: SplitCts
pluginInputCts  = [Ct] -> SplitCts -> SplitCts
discard (((EvTerm, Ct) -> Ct) -> [(EvTerm, Ct)] -> [Ct]
forall a b. (a -> b) -> [a] -> [b]
map (EvTerm, Ct) -> Ct
forall a b. (a, b) -> b
snd [(EvTerm, Ct)]
solved_cts) (TcPluginProgress -> SplitCts
pluginInputCts TcPluginProgress
p)
        , pluginSolvedCts :: ([Ct], [Ct], [(EvTerm, Ct)])
pluginSolvedCts = [(EvTerm, Ct)]
-> ([Ct], [Ct], [(EvTerm, Ct)]) -> ([Ct], [Ct], [(EvTerm, Ct)])
add [(EvTerm, Ct)]
solved_cts (TcPluginProgress -> ([Ct], [Ct], [(EvTerm, Ct)])
pluginSolvedCts TcPluginProgress
p)
        , pluginNewCts :: [Ct]
pluginNewCts    = [Ct]
new_cts [Ct] -> [Ct] -> [Ct]
forall a. [a] -> [a] -> [a]
++ TcPluginProgress -> [Ct]
pluginNewCts TcPluginProgress
p
        }

    initialProgress :: TcPluginProgress
initialProgress = SplitCts
-> ([Ct], [Ct], [(EvTerm, Ct)]) -> [Ct] -> [Ct] -> TcPluginProgress
TcPluginProgress SplitCts
all_cts ([], [], []) [] []

    discard :: [Ct] -> SplitCts -> SplitCts
    discard :: [Ct] -> SplitCts -> SplitCts
discard cts :: [Ct]
cts (xs :: [Ct]
xs, ys :: [Ct]
ys, zs :: [Ct]
zs) =
        ([Ct]
xs [Ct] -> [Ct] -> [Ct]
`without` [Ct]
cts, [Ct]
ys [Ct] -> [Ct] -> [Ct]
`without` [Ct]
cts, [Ct]
zs [Ct] -> [Ct] -> [Ct]
`without` [Ct]
cts)

    without :: [Ct] -> [Ct] -> [Ct]
    without :: [Ct] -> [Ct] -> [Ct]
without = (Ct -> Ct -> Bool) -> [Ct] -> [Ct] -> [Ct]
forall a. (a -> a -> Bool) -> [a] -> [a] -> [a]
deleteFirstsBy Ct -> Ct -> Bool
eqCt

    eqCt :: Ct -> Ct -> Bool
    eqCt :: Ct -> Ct -> Bool
eqCt c :: Ct
c c' :: Ct
c' = Ct -> CtFlavour
ctFlavour Ct
c CtFlavour -> CtFlavour -> Bool
forall a. Eq a => a -> a -> Bool
== Ct -> CtFlavour
ctFlavour Ct
c'
             Bool -> Bool -> Bool
&& Ct -> PredType
ctPred Ct
c HasDebugCallStack => PredType -> PredType -> Bool
PredType -> PredType -> Bool
`tcEqType` Ct -> PredType
ctPred Ct
c'

    add :: [(EvTerm,Ct)] -> SolvedCts -> SolvedCts
    add :: [(EvTerm, Ct)]
-> ([Ct], [Ct], [(EvTerm, Ct)]) -> ([Ct], [Ct], [(EvTerm, Ct)])
add xs :: [(EvTerm, Ct)]
xs scs :: ([Ct], [Ct], [(EvTerm, Ct)])
scs = (([Ct], [Ct], [(EvTerm, Ct)])
 -> (EvTerm, Ct) -> ([Ct], [Ct], [(EvTerm, Ct)]))
-> ([Ct], [Ct], [(EvTerm, Ct)])
-> [(EvTerm, Ct)]
-> ([Ct], [Ct], [(EvTerm, Ct)])
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' ([Ct], [Ct], [(EvTerm, Ct)])
-> (EvTerm, Ct) -> ([Ct], [Ct], [(EvTerm, Ct)])
addOne ([Ct], [Ct], [(EvTerm, Ct)])
scs [(EvTerm, Ct)]
xs

    addOne :: SolvedCts -> (EvTerm,Ct) -> SolvedCts
    addOne :: ([Ct], [Ct], [(EvTerm, Ct)])
-> (EvTerm, Ct) -> ([Ct], [Ct], [(EvTerm, Ct)])
addOne (givens :: [Ct]
givens, deriveds :: [Ct]
deriveds, wanteds :: [(EvTerm, Ct)]
wanteds) (ev :: EvTerm
ev,ct :: Ct
ct) = case Ct -> CtEvidence
ctEvidence Ct
ct of
      CtGiven  {} -> (Ct
ctCt -> [Ct] -> [Ct]
forall a. a -> [a] -> [a]
:[Ct]
givens, [Ct]
deriveds, [(EvTerm, Ct)]
wanteds)
      CtDerived{} -> ([Ct]
givens, Ct
ctCt -> [Ct] -> [Ct]
forall a. a -> [a] -> [a]
:[Ct]
deriveds, [(EvTerm, Ct)]
wanteds)
      CtWanted {} -> ([Ct]
givens, [Ct]
deriveds, (EvTerm
ev,Ct
ct)(EvTerm, Ct) -> [(EvTerm, Ct)] -> [(EvTerm, Ct)]
forall a. a -> [a] -> [a]
:[(EvTerm, Ct)]
wanteds)


type WorkItem = Ct
type SimplifierStage = WorkItem -> TcS (StopOrContinue Ct)

runSolverPipeline :: [(String,SimplifierStage)] -- The pipeline
                  -> WorkItem                   -- The work item
                  -> TcS ()
-- Run this item down the pipeline, leaving behind new work and inerts
runSolverPipeline :: [(String, SimplifierStage)] -> Ct -> TcS ()
runSolverPipeline pipeline :: [(String, SimplifierStage)]
pipeline workItem :: Ct
workItem
  = do { WorkList
wl <- TcS WorkList
getWorkList
       ; InertSet
inerts <- TcS InertSet
getTcSInerts
       ; TcLevel
tclevel <- TcS TcLevel
getTcLevel
       ; String -> SDoc -> TcS ()
traceTcS "----------------------------- " SDoc
empty
       ; String -> SDoc -> TcS ()
traceTcS "Start solver pipeline {" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$
                  [SDoc] -> SDoc
vcat [ String -> SDoc
text "tclevel =" SDoc -> SDoc -> SDoc
<+> TcLevel -> SDoc
forall a. Outputable a => a -> SDoc
ppr TcLevel
tclevel
                       , String -> SDoc
text "work item =" SDoc -> SDoc -> SDoc
<+> Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
workItem
                       , String -> SDoc
text "inerts =" SDoc -> SDoc -> SDoc
<+> InertSet -> SDoc
forall a. Outputable a => a -> SDoc
ppr InertSet
inerts
                       , String -> SDoc
text "rest of worklist =" SDoc -> SDoc -> SDoc
<+> WorkList -> SDoc
forall a. Outputable a => a -> SDoc
ppr WorkList
wl ]

       ; TcS ()
bumpStepCountTcS    -- One step for each constraint processed
       ; StopOrContinue Ct
final_res  <- [(String, SimplifierStage)]
-> StopOrContinue Ct -> TcS (StopOrContinue Ct)
run_pipeline [(String, SimplifierStage)]
pipeline (Ct -> StopOrContinue Ct
forall a. a -> StopOrContinue a
ContinueWith Ct
workItem)

       ; case StopOrContinue Ct
final_res of
           Stop ev :: CtEvidence
ev s :: SDoc
s       -> do { CtEvidence -> SDoc -> TcS ()
traceFireTcS CtEvidence
ev SDoc
s
                                 ; String -> SDoc -> TcS ()
traceTcS "End solver pipeline (discharged) }" SDoc
empty
                                 ; () -> TcS ()
forall (m :: * -> *) a. Monad m => a -> m a
return () }
           ContinueWith ct :: Ct
ct -> do { Ct -> TcS ()
addInertCan Ct
ct
                                 ; CtEvidence -> SDoc -> TcS ()
traceFireTcS (Ct -> CtEvidence
ctEvidence Ct
ct) (String -> SDoc
text "Kept as inert")
                                 ; String -> SDoc -> TcS ()
traceTcS "End solver pipeline (kept as inert) }" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$
                                            (String -> SDoc
text "final_item =" SDoc -> SDoc -> SDoc
<+> Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
ct) }
       }
  where run_pipeline :: [(String,SimplifierStage)] -> StopOrContinue Ct
                     -> TcS (StopOrContinue Ct)
        run_pipeline :: [(String, SimplifierStage)]
-> StopOrContinue Ct -> TcS (StopOrContinue Ct)
run_pipeline [] res :: StopOrContinue Ct
res        = StopOrContinue Ct -> TcS (StopOrContinue Ct)
forall (m :: * -> *) a. Monad m => a -> m a
return StopOrContinue Ct
res
        run_pipeline _ (Stop ev :: CtEvidence
ev s :: SDoc
s) = StopOrContinue Ct -> TcS (StopOrContinue Ct)
forall (m :: * -> *) a. Monad m => a -> m a
return (CtEvidence -> SDoc -> StopOrContinue Ct
forall a. CtEvidence -> SDoc -> StopOrContinue a
Stop CtEvidence
ev SDoc
s)
        run_pipeline ((stg_name :: String
stg_name,stg :: SimplifierStage
stg):stgs :: [(String, SimplifierStage)]
stgs) (ContinueWith ct :: Ct
ct)
          = do { String -> SDoc -> TcS ()
traceTcS ("runStage " String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
stg_name String -> String -> String
forall a. [a] -> [a] -> [a]
++ " {")
                          (String -> SDoc
text "workitem   = " SDoc -> SDoc -> SDoc
<+> Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
ct)
               ; StopOrContinue Ct
res <- SimplifierStage
stg Ct
ct
               ; String -> SDoc -> TcS ()
traceTcS ("end stage " String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
stg_name String -> String -> String
forall a. [a] -> [a] -> [a]
++ " }") SDoc
empty
               ; [(String, SimplifierStage)]
-> StopOrContinue Ct -> TcS (StopOrContinue Ct)
run_pipeline [(String, SimplifierStage)]
stgs StopOrContinue Ct
res }

{-
Example 1:
  Inert:   {c ~ d, F a ~ t, b ~ Int, a ~ ty} (all given)
  Reagent: a ~ [b] (given)

React with (c~d)     ==> IR (ContinueWith (a~[b]))  True    []
React with (F a ~ t) ==> IR (ContinueWith (a~[b]))  False   [F [b] ~ t]
React with (b ~ Int) ==> IR (ContinueWith (a~[Int]) True    []

Example 2:
  Inert:  {c ~w d, F a ~g t, b ~w Int, a ~w ty}
  Reagent: a ~w [b]

React with (c ~w d)   ==> IR (ContinueWith (a~[b]))  True    []
React with (F a ~g t) ==> IR (ContinueWith (a~[b]))  True    []    (can't rewrite given with wanted!)
etc.

Example 3:
  Inert:  {a ~ Int, F Int ~ b} (given)
  Reagent: F a ~ b (wanted)

React with (a ~ Int)   ==> IR (ContinueWith (F Int ~ b)) True []
React with (F Int ~ b) ==> IR Stop True []    -- after substituting we re-canonicalize and get nothing
-}

thePipeline :: [(String,SimplifierStage)]
thePipeline :: [(String, SimplifierStage)]
thePipeline = [ ("canonicalization",        SimplifierStage
TcCanonical.canonicalize)
              , ("interact with inerts",    SimplifierStage
interactWithInertsStage)
              , ("top-level reactions",     SimplifierStage
topReactionsStage) ]

{-
*********************************************************************************
*                                                                               *
                       The interact-with-inert Stage
*                                                                               *
*********************************************************************************

Note [The Solver Invariant]
~~~~~~~~~~~~~~~~~~~~~~~~~~~
We always add Givens first.  So you might think that the solver has
the invariant

   If the work-item is Given,
   then the inert item must Given

But this isn't quite true.  Suppose we have,
    c1: [W] beta ~ [alpha], c2 : [W] blah, c3 :[W] alpha ~ Int
After processing the first two, we get
     c1: [G] beta ~ [alpha], c2 : [W] blah
Now, c3 does not interact with the given c1, so when we spontaneously
solve c3, we must re-react it with the inert set.  So we can attempt a
reaction between inert c2 [W] and work-item c3 [G].

It *is* true that [Solver Invariant]
   If the work-item is Given,
   AND there is a reaction
   then the inert item must Given
or, equivalently,
   If the work-item is Given,
   and the inert item is Wanted/Derived
   then there is no reaction
-}

-- Interaction result of  WorkItem <~> Ct

interactWithInertsStage :: WorkItem -> TcS (StopOrContinue Ct)
-- Precondition: if the workitem is a CTyEqCan then it will not be able to
-- react with anything at this stage.

interactWithInertsStage :: SimplifierStage
interactWithInertsStage wi :: Ct
wi
  = do { InertSet
inerts <- TcS InertSet
getTcSInerts
       ; let ics :: InertCans
ics = InertSet -> InertCans
inert_cans InertSet
inerts
       ; case Ct
wi of
             CTyEqCan  {} -> InertCans -> SimplifierStage
interactTyVarEq InertCans
ics Ct
wi
             CFunEqCan {} -> InertCans -> SimplifierStage
interactFunEq   InertCans
ics Ct
wi
             CIrredCan {} -> InertCans -> SimplifierStage
interactIrred   InertCans
ics Ct
wi
             CDictCan  {} -> InertCans -> SimplifierStage
interactDict    InertCans
ics Ct
wi
             _ -> String -> SDoc -> TcS (StopOrContinue Ct)
forall a. HasCallStack => String -> SDoc -> a
pprPanic "interactWithInerts" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
wi) }
                -- CHoleCan are put straight into inert_frozen, so never get here
                -- CNonCanonical have been canonicalised

data InteractResult
   = KeepInert   -- Keep the inert item, and solve the work item from it
                 -- (if the latter is Wanted; just discard it if not)
   | KeepWork    -- Keep the work item, and solve the intert item from it

instance Outputable InteractResult where
  ppr :: InteractResult -> SDoc
ppr KeepInert = String -> SDoc
text "keep inert"
  ppr KeepWork  = String -> SDoc
text "keep work-item"

solveOneFromTheOther :: CtEvidence  -- Inert
                     -> CtEvidence  -- WorkItem
                     -> TcS InteractResult
-- Precondition:
-- * inert and work item represent evidence for the /same/ predicate
--
-- We can always solve one from the other: even if both are wanted,
-- although we don't rewrite wanteds with wanteds, we can combine
-- two wanteds into one by solving one from the other

solveOneFromTheOther :: CtEvidence -> CtEvidence -> TcS InteractResult
solveOneFromTheOther ev_i :: CtEvidence
ev_i ev_w :: CtEvidence
ev_w
  | CtEvidence -> Bool
isDerived CtEvidence
ev_w         -- Work item is Derived; just discard it
  = InteractResult -> TcS InteractResult
forall (m :: * -> *) a. Monad m => a -> m a
return InteractResult
KeepInert

  | CtEvidence -> Bool
isDerived CtEvidence
ev_i     -- The inert item is Derived, we can just throw it away,
  = InteractResult -> TcS InteractResult
forall (m :: * -> *) a. Monad m => a -> m a
return InteractResult
KeepWork    -- The ev_w is inert wrt earlier inert-set items,
                       -- so it's safe to continue on from this point

  | CtWanted { ctev_loc :: CtEvidence -> CtLoc
ctev_loc = CtLoc
loc_w } <- CtEvidence
ev_w
  , CtLoc -> CtLoc -> Bool
prohibitedSuperClassSolve (CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev_i) CtLoc
loc_w
  = -- inert must be Given
    do { String -> SDoc -> TcS ()
traceTcS "prohibitedClassSolve1" (CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
ev_i SDoc -> SDoc -> SDoc
$$ CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
ev_w)
       ; InteractResult -> TcS InteractResult
forall (m :: * -> *) a. Monad m => a -> m a
return InteractResult
KeepWork }

  | CtWanted {} <- CtEvidence
ev_w
       -- Inert is Given or Wanted
  = InteractResult -> TcS InteractResult
forall (m :: * -> *) a. Monad m => a -> m a
return InteractResult
KeepInert

  -- From here on the work-item is Given

  | CtWanted { ctev_loc :: CtEvidence -> CtLoc
ctev_loc = CtLoc
loc_i } <- CtEvidence
ev_i
  , CtLoc -> CtLoc -> Bool
prohibitedSuperClassSolve (CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev_w) CtLoc
loc_i
  = do { String -> SDoc -> TcS ()
traceTcS "prohibitedClassSolve2" (CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
ev_i SDoc -> SDoc -> SDoc
$$ CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
ev_w)
       ; InteractResult -> TcS InteractResult
forall (m :: * -> *) a. Monad m => a -> m a
return InteractResult
KeepInert }      -- Just discard the un-usable Given
                                 -- This never actually happens because
                                 -- Givens get processed first

  | CtWanted {} <- CtEvidence
ev_i
  = InteractResult -> TcS InteractResult
forall (m :: * -> *) a. Monad m => a -> m a
return InteractResult
KeepWork

  -- From here on both are Given
  -- See Note [Replacement vs keeping]

  | TcLevel
lvl_i TcLevel -> TcLevel -> Bool
forall a. Eq a => a -> a -> Bool
== TcLevel
lvl_w
  = do { EvBindsVar
ev_binds_var <- TcS EvBindsVar
getTcEvBindsVar
       ; EvBindMap
binds <- EvBindsVar -> TcS EvBindMap
getTcEvBindsMap EvBindsVar
ev_binds_var
       ; InteractResult -> TcS InteractResult
forall (m :: * -> *) a. Monad m => a -> m a
return (EvBindMap -> InteractResult
same_level_strategy EvBindMap
binds) }

  | Bool
otherwise   -- Both are Given, levels differ
  = InteractResult -> TcS InteractResult
forall (m :: * -> *) a. Monad m => a -> m a
return InteractResult
different_level_strategy
  where
     pred :: PredType
pred  = CtEvidence -> PredType
ctEvPred CtEvidence
ev_i
     loc_i :: CtLoc
loc_i = CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev_i
     loc_w :: CtLoc
loc_w = CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev_w
     lvl_i :: TcLevel
lvl_i = CtLoc -> TcLevel
ctLocLevel CtLoc
loc_i
     lvl_w :: TcLevel
lvl_w = CtLoc -> TcLevel
ctLocLevel CtLoc
loc_w
     ev_id_i :: EvVar
ev_id_i = CtEvidence -> EvVar
ctEvEvId CtEvidence
ev_i
     ev_id_w :: EvVar
ev_id_w = CtEvidence -> EvVar
ctEvEvId CtEvidence
ev_w

     different_level_strategy :: InteractResult
different_level_strategy  -- Both Given
       | PredType -> Bool
isIPPred PredType
pred, TcLevel
lvl_w TcLevel -> TcLevel -> Bool
forall a. Ord a => a -> a -> Bool
> TcLevel
lvl_i = InteractResult
KeepWork
       | TcLevel
lvl_w TcLevel -> TcLevel -> Bool
forall a. Ord a => a -> a -> Bool
< TcLevel
lvl_i                = InteractResult
KeepWork
       | Bool
otherwise                    = InteractResult
KeepInert

     same_level_strategy :: EvBindMap -> InteractResult
same_level_strategy binds :: EvBindMap
binds -- Both Given
       | GivenOrigin (InstSC s_i :: IntWithInf
s_i) <- CtLoc -> CtOrigin
ctLocOrigin CtLoc
loc_i
       = case CtLoc -> CtOrigin
ctLocOrigin CtLoc
loc_w of
            GivenOrigin (InstSC s_w :: IntWithInf
s_w) | IntWithInf
s_w IntWithInf -> IntWithInf -> Bool
forall a. Ord a => a -> a -> Bool
< IntWithInf
s_i -> InteractResult
KeepWork
                                     | Bool
otherwise -> InteractResult
KeepInert
            _                                    -> InteractResult
KeepWork

       | GivenOrigin (InstSC {}) <- CtLoc -> CtOrigin
ctLocOrigin CtLoc
loc_w
       = InteractResult
KeepInert

       | EvBindMap -> EvVar -> Bool
has_binding EvBindMap
binds EvVar
ev_id_w
       , Bool -> Bool
not (EvBindMap -> EvVar -> Bool
has_binding EvBindMap
binds EvVar
ev_id_i)
       , Bool -> Bool
not (EvVar
ev_id_i EvVar -> VarSet -> Bool
`elemVarSet` EvBindMap -> VarSet -> VarSet
findNeededEvVars EvBindMap
binds (EvVar -> VarSet
unitVarSet EvVar
ev_id_w))
       = InteractResult
KeepWork

       | Bool
otherwise
       = InteractResult
KeepInert

     has_binding :: EvBindMap -> EvVar -> Bool
has_binding binds :: EvBindMap
binds ev_id :: EvVar
ev_id = Maybe EvBind -> Bool
forall a. Maybe a -> Bool
isJust (EvBindMap -> EvVar -> Maybe EvBind
lookupEvBind EvBindMap
binds EvVar
ev_id)

{-
Note [Replacement vs keeping]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
When we have two Given constraints both of type (C tys), say, which should
we keep?  More subtle than you might think!

  * Constraints come from different levels (different_level_strategy)

      - For implicit parameters we want to keep the innermost (deepest)
        one, so that it overrides the outer one.
        See Note [Shadowing of Implicit Parameters]

      - For everything else, we want to keep the outermost one.  Reason: that
        makes it more likely that the inner one will turn out to be unused,
        and can be reported as redundant.  See Note [Tracking redundant constraints]
        in TcSimplify.

        It transpires that using the outermost one is reponsible for an
        8% performance improvement in nofib cryptarithm2, compared to
        just rolling the dice.  I didn't investigate why.

  * Constraints coming from the same level (i.e. same implication)

       (a) Always get rid of InstSC ones if possible, since they are less
           useful for solving.  If both are InstSC, choose the one with
           the smallest TypeSize
           See Note [Solving superclass constraints] in TcInstDcls

       (b) Keep the one that has a non-trivial evidence binding.
              Example:  f :: (Eq a, Ord a) => blah
              then we may find [G] d3 :: Eq a
                               [G] d2 :: Eq a
                with bindings  d3 = sc_sel (d1::Ord a)
            We want to discard d2 in favour of the superclass selection from
            the Ord dictionary.
            Why? See Note [Tracking redundant constraints] in TcSimplify again.

       (c) But don't do (b) if the evidence binding depends transitively on the
           one without a binding.  Example (with RecursiveSuperClasses)
              class C a => D a
              class D a => C a
           Inert:     d1 :: C a, d2 :: D a
           Binds:     d3 = sc_sel d2, d2 = sc_sel d1
           Work item: d3 :: C a
           Then it'd be ridiculous to replace d1 with d3 in the inert set!
           Hence the findNeedEvVars test.  See Trac #14774.

  * Finally, when there is still a choice, use KeepInert rather than
    KeepWork, for two reasons:
      - to avoid unnecessary munging of the inert set.
      - to cut off superclass loops; see Note [Superclass loops] in TcCanonical

Doing the depth-check for implicit parameters, rather than making the work item
always override, is important.  Consider

    data T a where { T1 :: (?x::Int) => T Int; T2 :: T a }

    f :: (?x::a) => T a -> Int
    f T1 = ?x
    f T2 = 3

We have a [G] (?x::a) in the inert set, and at the pattern match on T1 we add
two new givens in the work-list:  [G] (?x::Int)
                                  [G] (a ~ Int)
Now consider these steps
  - process a~Int, kicking out (?x::a)
  - process (?x::Int), the inner given, adding to inert set
  - process (?x::a), the outer given, overriding the inner given
Wrong!  The depth-check ensures that the inner implicit parameter wins.
(Actually I think that the order in which the work-list is processed means
that this chain of events won't happen, but that's very fragile.)

*********************************************************************************
*                                                                               *
                   interactIrred
*                                                                               *
*********************************************************************************

Note [Multiple matching irreds]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
You might think that it's impossible to have multiple irreds all match the
work item; after all, interactIrred looks for matches and solves one from the
other. However, note that interacting insoluble, non-droppable irreds does not
do this matching. We thus might end up with several insoluble, non-droppable,
matching irreds in the inert set. When another irred comes along that we have
not yet labeled insoluble, we can find multiple matches. These multiple matches
cause no harm, but it would be wrong to ASSERT that they aren't there (as we
once had done). This problem can be tickled by typecheck/should_compile/holes.

-}

-- Two pieces of irreducible evidence: if their types are *exactly identical*
-- we can rewrite them. We can never improve using this:
-- if we want ty1 :: Constraint and have ty2 :: Constraint it clearly does not
-- mean that (ty1 ~ ty2)
interactIrred :: InertCans -> Ct -> TcS (StopOrContinue Ct)

interactIrred :: InertCans -> SimplifierStage
interactIrred inerts :: InertCans
inerts workItem :: Ct
workItem@(CIrredCan { cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
ev_w, cc_insol :: Ct -> Bool
cc_insol = Bool
insoluble })
  | Bool
insoluble  -- For insolubles, don't allow the constaint to be dropped
               -- which can happen with solveOneFromTheOther, so that
               -- we get distinct error messages with -fdefer-type-errors
               -- See Note [Do not add duplicate derived insolubles]
  , Bool -> Bool
not (Ct -> Bool
isDroppableCt Ct
workItem)
  = SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
workItem

  | let (matching_irreds :: Bag (Ct, SwapFlag)
matching_irreds, others :: Cts
others) = Cts -> CtEvidence -> (Bag (Ct, SwapFlag), Cts)
findMatchingIrreds (InertCans -> Cts
inert_irreds InertCans
inerts) CtEvidence
ev_w
  , ((ct_i :: Ct
ct_i, swap :: SwapFlag
swap) : _rest :: [(Ct, SwapFlag)]
_rest) <- Bag (Ct, SwapFlag) -> [(Ct, SwapFlag)]
forall a. Bag a -> [a]
bagToList Bag (Ct, SwapFlag)
matching_irreds
        -- See Note [Multiple matching irreds]
  , let ev_i :: CtEvidence
ev_i = Ct -> CtEvidence
ctEvidence Ct
ct_i
  = do { InteractResult
what_next <- CtEvidence -> CtEvidence -> TcS InteractResult
solveOneFromTheOther CtEvidence
ev_i CtEvidence
ev_w
       ; String -> SDoc -> TcS ()
traceTcS "iteractIrred" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
workItem SDoc -> SDoc -> SDoc
$$ InteractResult -> SDoc
forall a. Outputable a => a -> SDoc
ppr InteractResult
what_next SDoc -> SDoc -> SDoc
$$ Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
ct_i)
       ; case InteractResult
what_next of
            KeepInert -> do { CtEvidence -> EvTerm -> TcS ()
setEvBindIfWanted CtEvidence
ev_w (SwapFlag -> CtEvidence -> EvTerm
swap_me SwapFlag
swap CtEvidence
ev_i)
                            ; StopOrContinue Ct -> TcS (StopOrContinue Ct)
forall (m :: * -> *) a. Monad m => a -> m a
return (CtEvidence -> SDoc -> StopOrContinue Ct
forall a. CtEvidence -> SDoc -> StopOrContinue a
Stop CtEvidence
ev_w (String -> SDoc
text "Irred equal" SDoc -> SDoc -> SDoc
<+> SDoc -> SDoc
parens (InteractResult -> SDoc
forall a. Outputable a => a -> SDoc
ppr InteractResult
what_next))) }
            KeepWork ->  do { CtEvidence -> EvTerm -> TcS ()
setEvBindIfWanted CtEvidence
ev_i (SwapFlag -> CtEvidence -> EvTerm
swap_me SwapFlag
swap CtEvidence
ev_w)
                            ; (Cts -> Cts) -> TcS ()
updInertIrreds (\_ -> Cts
others)
                            ; SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
workItem } }

  | Bool
otherwise
  = SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
workItem

  where
    swap_me :: SwapFlag -> CtEvidence -> EvTerm
    swap_me :: SwapFlag -> CtEvidence -> EvTerm
swap_me swap :: SwapFlag
swap ev :: CtEvidence
ev
      = case SwapFlag
swap of
           NotSwapped -> CtEvidence -> EvTerm
ctEvTerm CtEvidence
ev
           IsSwapped  -> TcCoercion -> EvTerm
evCoercion (TcCoercion -> TcCoercion
mkTcSymCo (EvTerm -> TcCoercion
evTermCoercion (CtEvidence -> EvTerm
ctEvTerm CtEvidence
ev)))

interactIrred _ wi :: Ct
wi = String -> SDoc -> TcS (StopOrContinue Ct)
forall a. HasCallStack => String -> SDoc -> a
pprPanic "interactIrred" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
wi)

findMatchingIrreds :: Cts -> CtEvidence -> (Bag (Ct, SwapFlag), Bag Ct)
findMatchingIrreds :: Cts -> CtEvidence -> (Bag (Ct, SwapFlag), Cts)
findMatchingIrreds irreds :: Cts
irreds ev :: CtEvidence
ev
  | EqPred eq_rel1 :: EqRel
eq_rel1 lty1 :: PredType
lty1 rty1 :: PredType
rty1 <- PredType -> PredTree
classifyPredType PredType
pred
    -- See Note [Solving irreducible equalities]
  = (Ct -> Either (Ct, SwapFlag) Ct)
-> Cts -> (Bag (Ct, SwapFlag), Cts)
forall a b c. (a -> Either b c) -> Bag a -> (Bag b, Bag c)
partitionBagWith (EqRel -> PredType -> PredType -> Ct -> Either (Ct, SwapFlag) Ct
match_eq EqRel
eq_rel1 PredType
lty1 PredType
rty1) Cts
irreds
  | Bool
otherwise
  = (Ct -> Either (Ct, SwapFlag) Ct)
-> Cts -> (Bag (Ct, SwapFlag), Cts)
forall a b c. (a -> Either b c) -> Bag a -> (Bag b, Bag c)
partitionBagWith Ct -> Either (Ct, SwapFlag) Ct
match_non_eq Cts
irreds
  where
    pred :: PredType
pred = CtEvidence -> PredType
ctEvPred CtEvidence
ev
    match_non_eq :: Ct -> Either (Ct, SwapFlag) Ct
match_non_eq ct :: Ct
ct
      | Ct -> PredType
ctPred Ct
ct PredType -> PredType -> Bool
`tcEqTypeNoKindCheck` PredType
pred = (Ct, SwapFlag) -> Either (Ct, SwapFlag) Ct
forall a b. a -> Either a b
Left (Ct
ct, SwapFlag
NotSwapped)
      | Bool
otherwise                            = Ct -> Either (Ct, SwapFlag) Ct
forall a b. b -> Either a b
Right Ct
ct

    match_eq :: EqRel -> PredType -> PredType -> Ct -> Either (Ct, SwapFlag) Ct
match_eq eq_rel1 :: EqRel
eq_rel1 lty1 :: PredType
lty1 rty1 :: PredType
rty1 ct :: Ct
ct
      | EqPred eq_rel2 :: EqRel
eq_rel2 lty2 :: PredType
lty2 rty2 :: PredType
rty2 <- PredType -> PredTree
classifyPredType (Ct -> PredType
ctPred Ct
ct)
      , EqRel
eq_rel1 EqRel -> EqRel -> Bool
forall a. Eq a => a -> a -> Bool
== EqRel
eq_rel2
      , Just swap :: SwapFlag
swap <- PredType -> PredType -> PredType -> PredType -> Maybe SwapFlag
match_eq_help PredType
lty1 PredType
rty1 PredType
lty2 PredType
rty2
      = (Ct, SwapFlag) -> Either (Ct, SwapFlag) Ct
forall a b. a -> Either a b
Left (Ct
ct, SwapFlag
swap)
      | Bool
otherwise
      = Ct -> Either (Ct, SwapFlag) Ct
forall a b. b -> Either a b
Right Ct
ct

    match_eq_help :: PredType -> PredType -> PredType -> PredType -> Maybe SwapFlag
match_eq_help lty1 :: PredType
lty1 rty1 :: PredType
rty1 lty2 :: PredType
lty2 rty2 :: PredType
rty2
      | PredType
lty1 PredType -> PredType -> Bool
`tcEqTypeNoKindCheck` PredType
lty2, PredType
rty1 PredType -> PredType -> Bool
`tcEqTypeNoKindCheck` PredType
rty2
      = SwapFlag -> Maybe SwapFlag
forall a. a -> Maybe a
Just SwapFlag
NotSwapped
      | PredType
lty1 PredType -> PredType -> Bool
`tcEqTypeNoKindCheck` PredType
rty2, PredType
rty1 PredType -> PredType -> Bool
`tcEqTypeNoKindCheck` PredType
lty2
      = SwapFlag -> Maybe SwapFlag
forall a. a -> Maybe a
Just SwapFlag
IsSwapped
      | Bool
otherwise
      = Maybe SwapFlag
forall a. Maybe a
Nothing

{- Note [Solving irreducible equalities]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider (Trac #14333)
  [G] a b ~R# c d
  [W] c d ~R# a b
Clearly we should be able to solve this! Even though the constraints are
not decomposable. We solve this when looking up the work-item in the
irreducible constraints to look for an identical one.  When doing this
lookup, findMatchingIrreds spots the equality case, and matches either
way around. It has to return a swap-flag so we can generate evidence
that is the right way round too.

Note [Do not add duplicate derived insolubles]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In general we *must* add an insoluble (Int ~ Bool) even if there is
one such there already, because they may come from distinct call
sites.  Not only do we want an error message for each, but with
-fdefer-type-errors we must generate evidence for each.  But for
*derived* insolubles, we only want to report each one once.  Why?

(a) A constraint (C r s t) where r -> s, say, may generate the same fundep
    equality many times, as the original constraint is successively rewritten.

(b) Ditto the successive iterations of the main solver itself, as it traverses
    the constraint tree. See example below.

Also for *given* insolubles we may get repeated errors, as we
repeatedly traverse the constraint tree.  These are relatively rare
anyway, so removing duplicates seems ok.  (Alternatively we could take
the SrcLoc into account.)

Note that the test does not need to be particularly efficient because
it is only used if the program has a type error anyway.

Example of (b): assume a top-level class and instance declaration:

  class D a b | a -> b
  instance D [a] [a]

Assume we have started with an implication:

  forall c. Eq c => { wc_simple = D [c] c [W] }

which we have simplified to:

  forall c. Eq c => { wc_simple = D [c] c [W]
                                  (c ~ [c]) [D] }

For some reason, e.g. because we floated an equality somewhere else,
we might try to re-solve this implication. If we do not do a
dropDerivedWC, then we will end up trying to solve the following
constraints the second time:

  (D [c] c) [W]
  (c ~ [c]) [D]

which will result in two Deriveds to end up in the insoluble set:

  wc_simple   = D [c] c [W]
               (c ~ [c]) [D], (c ~ [c]) [D]
-}

{-
*********************************************************************************
*                                                                               *
                   interactDict
*                                                                               *
*********************************************************************************

Note [Shortcut solving]
~~~~~~~~~~~~~~~~~~~~~~~
When we interact a [W] constraint with a [G] constraint that solves it, there is
a possibility that we could produce better code if instead we solved from a
top-level instance declaration (See #12791, #5835). For example:

    class M a b where m :: a -> b

    type C a b = (Num a, M a b)

    f :: C Int b => b -> Int -> Int
    f _ x = x + 1

The body of `f` requires a [W] `Num Int` instance. We could solve this
constraint from the givens because we have `C Int b` and that provides us a
solution for `Num Int`. This would let us produce core like the following
(with -O2):

    f :: forall b. C Int b => b -> Int -> Int
    f = \ (@ b) ($d(%,%) :: C Int b) _ (eta1 :: Int) ->
        + @ Int
          (GHC.Classes.$p1(%,%) @ (Num Int) @ (M Int b) $d(%,%))
          eta1
          A.f1

This is bad! We could do /much/ better if we solved [W] `Num Int` directly
from the instance that we have in scope:

    f :: forall b. C Int b => b -> Int -> Int
    f = \ (@ b) _ _ (x :: Int) ->
        case x of { GHC.Types.I# x1 -> GHC.Types.I# (GHC.Prim.+# x1 1#) }

** NB: It is important to emphasize that all this is purely an optimization:
** exactly the same programs should typecheck with or without this
** procedure.

Solving fully
~~~~~~~~~~~~~
There is a reason why the solver does not simply try to solve such
constraints with top-level instances. If the solver finds a relevant
instance declaration in scope, that instance may require a context
that can't be solved for. A good example of this is:

    f :: Ord [a] => ...
    f x = ..Need Eq [a]...

If we have instance `Eq a => Eq [a]` in scope and we tried to use it, we would
be left with the obligation to solve the constraint Eq a, which we cannot. So we
must be conservative in our attempt to use an instance declaration to solve the
[W] constraint we're interested in.

Our rule is that we try to solve all of the instance's subgoals
recursively all at once. Precisely: We only attempt to solve
constraints of the form `C1, ... Cm => C t1 ... t n`, where all the Ci
are themselves class constraints of the form `C1', ... Cm' => C' t1'
... tn'` and we only succeed if the entire tree of constraints is
solvable from instances.

An example that succeeds:

    class Eq a => C a b | b -> a where
      m :: b -> a

    f :: C [Int] b => b -> Bool
    f x = m x == []

We solve for `Eq [Int]`, which requires `Eq Int`, which we also have. This
produces the following core:

    f :: forall b. C [Int] b => b -> Bool
    f = \ (@ b) ($dC :: C [Int] b) (x :: b) ->
        GHC.Classes.$fEq[]_$s$c==
          (m @ [Int] @ b $dC x) (GHC.Types.[] @ Int)

An example that fails:

    class Eq a => C a b | b -> a where
      m :: b -> a

    f :: C [a] b => b -> Bool
    f x = m x == []

Which, because solving `Eq [a]` demands `Eq a` which we cannot solve, produces:

    f :: forall a b. C [a] b => b -> Bool
    f = \ (@ a) (@ b) ($dC :: C [a] b) (eta :: b) ->
        ==
          @ [a]
          (A.$p1C @ [a] @ b $dC)
          (m @ [a] @ b $dC eta)
          (GHC.Types.[] @ a)

Note [Shortcut solving: type families]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Suppose we have (Trac #13943)
  class Take (n :: Nat) where ...
  instance {-# OVERLAPPING #-}                    Take 0 where ..
  instance {-# OVERLAPPABLE #-} (Take (n - 1)) => Take n where ..

And we have [W] Take 3.  That only matches one instance so we get
[W] Take (3-1).  Really we should now flatten to reduce the (3-1) to 2, and
so on -- but that is reproducing yet more of the solver.  Sigh.  For now,
we just give up (remember all this is just an optimisation).

But we must not just naively try to lookup (Take (3-1)) in the
InstEnv, or it'll (wrongly) appear not to match (Take 0) and get a
unique match on the (Take n) instance.  That leads immediately to an
infinite loop.  Hence the check that 'preds' have no type families
(isTyFamFree).

Note [Shortcut solving: incoherence]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
This optimization relies on coherence of dictionaries to be correct. When we
cannot assume coherence because of IncoherentInstances then this optimization
can change the behavior of the user's code.

The following four modules produce a program whose output would change depending
on whether we apply this optimization when IncoherentInstances is in effect:

#########
    {-# LANGUAGE MultiParamTypeClasses #-}
    module A where

    class A a where
      int :: a -> Int

    class A a => C a b where
      m :: b -> a -> a

#########
    {-# LANGUAGE MultiParamTypeClasses, FlexibleInstances #-}
    module B where

    import A

    instance A a where
      int _ = 1

    instance C a [b] where
      m _ = id

#########
    {-# LANGUAGE FlexibleInstances, MultiParamTypeClasses, FlexibleContexts #-}
    {-# LANGUAGE IncoherentInstances #-}
    module C where

    import A

    instance A Int where
      int _ = 2

    instance C Int [Int] where
      m _ = id

    intC :: C Int a => a -> Int -> Int
    intC _ x = int x

#########
    module Main where

    import A
    import B
    import C

    main :: IO ()
    main = print (intC [] (0::Int))

The output of `main` if we avoid the optimization under the effect of
IncoherentInstances is `1`. If we were to do the optimization, the output of
`main` would be `2`.

Note [Shortcut try_solve_from_instance]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The workhorse of the short-cut solver is
    try_solve_from_instance :: (EvBindMap, DictMap CtEvidence)
                            -> CtEvidence       -- Solve this
                            -> MaybeT TcS (EvBindMap, DictMap CtEvidence)
Note that:

* The CtEvidence is the goal to be solved

* The MaybeT anages early failure if we find a subgoal that
  cannot be solved from instances.

* The (EvBindMap, DictMap CtEvidence) is an accumulating purely-functional
  state that allows try_solve_from_instance to augmennt the evidence
  bindings and inert_solved_dicts as it goes.

  If it succeeds, we commit all these bindings and solved dicts to the
  main TcS InertSet.  If not, we abandon it all entirely.

Passing along the solved_dicts important for two reasons:

* We need to be able to handle recursive super classes. The
  solved_dicts state  ensures that we remember what we have already
  tried to solve to avoid looping.

* As Trac #15164 showed, it can be important to exploit sharing between
  goals. E.g. To solve G we may need G1 and G2. To solve G1 we may need H;
  and to solve G2 we may need H. If we don't spot this sharing we may
  solve H twice; and if this pattern repeats we may get exponentially bad
  behaviour.
-}

interactDict :: InertCans -> Ct -> TcS (StopOrContinue Ct)
interactDict :: InertCans -> SimplifierStage
interactDict inerts :: InertCans
inerts workItem :: Ct
workItem@(CDictCan { cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
ev_w, cc_class :: Ct -> Class
cc_class = Class
cls, cc_tyargs :: Ct -> [PredType]
cc_tyargs = [PredType]
tys })
  | Just ev_i :: CtEvidence
ev_i <- InertCans -> CtLoc -> Class -> [PredType] -> Maybe CtEvidence
lookupInertDict InertCans
inerts (CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev_w) Class
cls [PredType]
tys
  = -- There is a matching dictionary in the inert set
    do { -- First to try to solve it /completely/ from top level instances
         -- See Note [Shortcut solving]
         DynFlags
dflags <- TcS DynFlags
forall (m :: * -> *). HasDynFlags m => m DynFlags
getDynFlags
       ; Bool
short_cut_worked <- DynFlags -> CtEvidence -> CtEvidence -> TcS Bool
shortCutSolver DynFlags
dflags CtEvidence
ev_w CtEvidence
ev_i
       ; if Bool
short_cut_worked
         then CtEvidence -> String -> TcS (StopOrContinue Ct)
forall a. CtEvidence -> String -> TcS (StopOrContinue a)
stopWith CtEvidence
ev_w "interactDict/solved from instance"
         else

    do { -- Ths short-cut solver didn't fire, so we
         -- solve ev_w from the matching inert ev_i we found
         InteractResult
what_next <- CtEvidence -> CtEvidence -> TcS InteractResult
solveOneFromTheOther CtEvidence
ev_i CtEvidence
ev_w
       ; String -> SDoc -> TcS ()
traceTcS "lookupInertDict" (InteractResult -> SDoc
forall a. Outputable a => a -> SDoc
ppr InteractResult
what_next)
       ; case InteractResult
what_next of
           KeepInert -> do { CtEvidence -> EvTerm -> TcS ()
setEvBindIfWanted CtEvidence
ev_w (CtEvidence -> EvTerm
ctEvTerm CtEvidence
ev_i)
                           ; StopOrContinue Ct -> TcS (StopOrContinue Ct)
forall (m :: * -> *) a. Monad m => a -> m a
return (StopOrContinue Ct -> TcS (StopOrContinue Ct))
-> StopOrContinue Ct -> TcS (StopOrContinue Ct)
forall a b. (a -> b) -> a -> b
$ CtEvidence -> SDoc -> StopOrContinue Ct
forall a. CtEvidence -> SDoc -> StopOrContinue a
Stop CtEvidence
ev_w (String -> SDoc
text "Dict equal" SDoc -> SDoc -> SDoc
<+> SDoc -> SDoc
parens (InteractResult -> SDoc
forall a. Outputable a => a -> SDoc
ppr InteractResult
what_next)) }
           KeepWork  -> do { CtEvidence -> EvTerm -> TcS ()
setEvBindIfWanted CtEvidence
ev_i (CtEvidence -> EvTerm
ctEvTerm CtEvidence
ev_w)
                           ; (DictMap Ct -> DictMap Ct) -> TcS ()
updInertDicts ((DictMap Ct -> DictMap Ct) -> TcS ())
-> (DictMap Ct -> DictMap Ct) -> TcS ()
forall a b. (a -> b) -> a -> b
$ \ ds :: DictMap Ct
ds -> DictMap Ct -> Class -> [PredType] -> DictMap Ct
forall a. DictMap a -> Class -> [PredType] -> DictMap a
delDict DictMap Ct
ds Class
cls [PredType]
tys
                           ; SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
workItem } } }

  | Class
cls Class -> Unique -> Bool
forall a. Uniquable a => a -> Unique -> Bool
`hasKey` Unique
ipClassKey
  , CtEvidence -> Bool
isGiven CtEvidence
ev_w
  = InertCans -> SimplifierStage
interactGivenIP InertCans
inerts Ct
workItem

  | Bool
otherwise
  = do { InertCans -> CtEvidence -> Class -> TcS ()
addFunDepWork InertCans
inerts CtEvidence
ev_w Class
cls
       ; SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
workItem  }

interactDict _ wi :: Ct
wi = String -> SDoc -> TcS (StopOrContinue Ct)
forall a. HasCallStack => String -> SDoc -> a
pprPanic "interactDict" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
wi)

-- See Note [Shortcut solving]
shortCutSolver :: DynFlags
               -> CtEvidence -- Work item
               -> CtEvidence -- Inert we want to try to replace
               -> TcS Bool   -- True <=> success
shortCutSolver :: DynFlags -> CtEvidence -> CtEvidence -> TcS Bool
shortCutSolver dflags :: DynFlags
dflags ev_w :: CtEvidence
ev_w ev_i :: CtEvidence
ev_i
  | CtEvidence -> Bool
isWanted CtEvidence
ev_w
 Bool -> Bool -> Bool
&& CtEvidence -> Bool
isGiven CtEvidence
ev_i
 -- We are about to solve a [W] constraint from a [G] constraint. We take
 -- a moment to see if we can get a better solution using an instance.
 -- Note that we only do this for the sake of performance. Exactly the same
 -- programs should typecheck regardless of whether we take this step or
 -- not. See Note [Shortcut solving]

 Bool -> Bool -> Bool
&& Bool -> Bool
not (Extension -> DynFlags -> Bool
xopt Extension
LangExt.IncoherentInstances DynFlags
dflags)
 -- If IncoherentInstances is on then we cannot rely on coherence of proofs
 -- in order to justify this optimization: The proof provided by the
 -- [G] constraint's superclass may be different from the top-level proof.
 -- See Note [Shortcut solving: incoherence]

 Bool -> Bool -> Bool
&& GeneralFlag -> DynFlags -> Bool
gopt GeneralFlag
Opt_SolveConstantDicts DynFlags
dflags
 -- Enabled by the -fsolve-constant-dicts flag
  = do { EvBindsVar
ev_binds_var <- TcS EvBindsVar
getTcEvBindsVar
       ; EvBindMap
ev_binds <- ASSERT2( not (isCoEvBindsVar ev_binds_var ), ppr ev_w )
                     EvBindsVar -> TcS EvBindMap
getTcEvBindsMap EvBindsVar
ev_binds_var
       ; DictMap CtEvidence
solved_dicts <- TcS (DictMap CtEvidence)
getSolvedDicts

       ; Maybe (EvBindMap, DictMap CtEvidence)
mb_stuff <- MaybeT TcS (EvBindMap, DictMap CtEvidence)
-> TcS (Maybe (EvBindMap, DictMap CtEvidence))
forall (m :: * -> *) a. MaybeT m a -> m (Maybe a)
runMaybeT (MaybeT TcS (EvBindMap, DictMap CtEvidence)
 -> TcS (Maybe (EvBindMap, DictMap CtEvidence)))
-> MaybeT TcS (EvBindMap, DictMap CtEvidence)
-> TcS (Maybe (EvBindMap, DictMap CtEvidence))
forall a b. (a -> b) -> a -> b
$ (EvBindMap, DictMap CtEvidence)
-> CtEvidence -> MaybeT TcS (EvBindMap, DictMap CtEvidence)
try_solve_from_instance
                                   (EvBindMap
ev_binds, DictMap CtEvidence
solved_dicts) CtEvidence
ev_w

       ; case Maybe (EvBindMap, DictMap CtEvidence)
mb_stuff of
           Nothing -> Bool -> TcS Bool
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
False
           Just (ev_binds' :: EvBindMap
ev_binds', solved_dicts' :: DictMap CtEvidence
solved_dicts')
              -> do { EvBindsVar -> EvBindMap -> TcS ()
setTcEvBindsMap EvBindsVar
ev_binds_var EvBindMap
ev_binds'
                    ; DictMap CtEvidence -> TcS ()
setSolvedDicts DictMap CtEvidence
solved_dicts'
                    ; Bool -> TcS Bool
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
True } }

  | Bool
otherwise
  = Bool -> TcS Bool
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
False
  where
    -- This `CtLoc` is used only to check the well-staged condition of any
    -- candidate DFun. Our subgoals all have the same stage as our root
    -- [W] constraint so it is safe to use this while solving them.
    loc_w :: CtLoc
loc_w = CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev_w

    try_solve_from_instance   -- See Note [Shortcut try_solve_from_instance]
      :: (EvBindMap, DictMap CtEvidence) -> CtEvidence
      -> MaybeT TcS (EvBindMap, DictMap CtEvidence)
    try_solve_from_instance :: (EvBindMap, DictMap CtEvidence)
-> CtEvidence -> MaybeT TcS (EvBindMap, DictMap CtEvidence)
try_solve_from_instance (ev_binds :: EvBindMap
ev_binds, solved_dicts :: DictMap CtEvidence
solved_dicts) ev :: CtEvidence
ev
      | let pred :: PredType
pred = CtEvidence -> PredType
ctEvPred CtEvidence
ev
            loc :: CtLoc
loc  = CtEvidence -> CtLoc
ctEvLoc  CtEvidence
ev
      , ClassPred cls :: Class
cls tys :: [PredType]
tys <- PredType -> PredTree
classifyPredType PredType
pred
      = do { ClsInstResult
inst_res <- TcS ClsInstResult -> MaybeT TcS ClsInstResult
forall (t :: (* -> *) -> * -> *) (m :: * -> *) a.
(MonadTrans t, Monad m) =>
m a -> t m a
lift (TcS ClsInstResult -> MaybeT TcS ClsInstResult)
-> TcS ClsInstResult -> MaybeT TcS ClsInstResult
forall a b. (a -> b) -> a -> b
$ DynFlags -> Bool -> Class -> [PredType] -> TcS ClsInstResult
matchGlobalInst DynFlags
dflags Bool
True Class
cls [PredType]
tys
           ; case ClsInstResult
inst_res of
               OneInst { cir_new_theta :: ClsInstResult -> [PredType]
cir_new_theta = [PredType]
preds
                       , cir_mk_ev :: ClsInstResult -> [EvExpr] -> EvTerm
cir_mk_ev     = [EvExpr] -> EvTerm
mk_ev
                       , cir_what :: ClsInstResult -> InstanceWhat
cir_what      = InstanceWhat
what }
                 | InstanceWhat -> Bool
safeOverlap InstanceWhat
what
                 , (PredType -> Bool) -> [PredType] -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
all PredType -> Bool
isTyFamFree [PredType]
preds  -- Note [Shortcut solving: type families]
                 -> do { let solved_dicts' :: DictMap CtEvidence
solved_dicts' = DictMap CtEvidence
-> Class -> [PredType] -> CtEvidence -> DictMap CtEvidence
forall a. DictMap a -> Class -> [PredType] -> a -> DictMap a
addDict DictMap CtEvidence
solved_dicts Class
cls [PredType]
tys CtEvidence
ev
                             -- solved_dicts': it is important that we add our goal
                             -- to the cache before we solve! Otherwise we may end
                             -- up in a loop while solving recursive dictionaries.

                       ; TcS () -> MaybeT TcS ()
forall (t :: (* -> *) -> * -> *) (m :: * -> *) a.
(MonadTrans t, Monad m) =>
m a -> t m a
lift (TcS () -> MaybeT TcS ()) -> TcS () -> MaybeT TcS ()
forall a b. (a -> b) -> a -> b
$ String -> SDoc -> TcS ()
traceTcS "shortCutSolver: found instance" ([PredType] -> SDoc
forall a. Outputable a => a -> SDoc
ppr [PredType]
preds)
                       ; CtLoc
loc' <- TcS CtLoc -> MaybeT TcS CtLoc
forall (t :: (* -> *) -> * -> *) (m :: * -> *) a.
(MonadTrans t, Monad m) =>
m a -> t m a
lift (TcS CtLoc -> MaybeT TcS CtLoc) -> TcS CtLoc -> MaybeT TcS CtLoc
forall a b. (a -> b) -> a -> b
$ CtLoc -> InstanceWhat -> PredType -> TcS CtLoc
checkInstanceOK CtLoc
loc InstanceWhat
what PredType
pred

                       ; [MaybeNew]
evc_vs <- (PredType -> MaybeT TcS MaybeNew)
-> [PredType] -> MaybeT TcS [MaybeNew]
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
(a -> m b) -> t a -> m (t b)
mapM (CtLoc -> DictMap CtEvidence -> PredType -> MaybeT TcS MaybeNew
new_wanted_cached CtLoc
loc' DictMap CtEvidence
solved_dicts') [PredType]
preds
                                  -- Emit work for subgoals but use our local cache
                                  -- so we can solve recursive dictionaries.

                       ; let ev_tm :: EvTerm
ev_tm     = [EvExpr] -> EvTerm
mk_ev ((MaybeNew -> EvExpr) -> [MaybeNew] -> [EvExpr]
forall a b. (a -> b) -> [a] -> [b]
map MaybeNew -> EvExpr
getEvExpr [MaybeNew]
evc_vs)
                             ev_binds' :: EvBindMap
ev_binds' = EvBindMap -> EvBind -> EvBindMap
extendEvBinds EvBindMap
ev_binds (EvBind -> EvBindMap) -> EvBind -> EvBindMap
forall a b. (a -> b) -> a -> b
$
                                         EvVar -> EvTerm -> EvBind
mkWantedEvBind (CtEvidence -> EvVar
ctEvEvId CtEvidence
ev) EvTerm
ev_tm

                       ; ((EvBindMap, DictMap CtEvidence)
 -> CtEvidence -> MaybeT TcS (EvBindMap, DictMap CtEvidence))
-> (EvBindMap, DictMap CtEvidence)
-> [CtEvidence]
-> MaybeT TcS (EvBindMap, DictMap CtEvidence)
forall (m :: * -> *) a b.
Monad m =>
(a -> b -> m a) -> a -> [b] -> m a
foldlM (EvBindMap, DictMap CtEvidence)
-> CtEvidence -> MaybeT TcS (EvBindMap, DictMap CtEvidence)
try_solve_from_instance
                                (EvBindMap
ev_binds', DictMap CtEvidence
solved_dicts')
                                ([MaybeNew] -> [CtEvidence]
freshGoals [MaybeNew]
evc_vs) }

               _ -> MaybeT TcS (EvBindMap, DictMap CtEvidence)
forall (m :: * -> *) a. MonadPlus m => m a
mzero }
      | Bool
otherwise = MaybeT TcS (EvBindMap, DictMap CtEvidence)
forall (m :: * -> *) a. MonadPlus m => m a
mzero


    -- Use a local cache of solved dicts while emitting EvVars for new work
    -- We bail out of the entire computation if we need to emit an EvVar for
    -- a subgoal that isn't a ClassPred.
    new_wanted_cached :: CtLoc -> DictMap CtEvidence -> TcPredType -> MaybeT TcS MaybeNew
    new_wanted_cached :: CtLoc -> DictMap CtEvidence -> PredType -> MaybeT TcS MaybeNew
new_wanted_cached loc :: CtLoc
loc cache :: DictMap CtEvidence
cache pty :: PredType
pty
      | ClassPred cls :: Class
cls tys :: [PredType]
tys <- PredType -> PredTree
classifyPredType PredType
pty
      = TcS MaybeNew -> MaybeT TcS MaybeNew
forall (t :: (* -> *) -> * -> *) (m :: * -> *) a.
(MonadTrans t, Monad m) =>
m a -> t m a
lift (TcS MaybeNew -> MaybeT TcS MaybeNew)
-> TcS MaybeNew -> MaybeT TcS MaybeNew
forall a b. (a -> b) -> a -> b
$ case DictMap CtEvidence
-> CtLoc -> Class -> [PredType] -> Maybe CtEvidence
forall a. DictMap a -> CtLoc -> Class -> [PredType] -> Maybe a
findDict DictMap CtEvidence
cache CtLoc
loc_w Class
cls [PredType]
tys of
          Just ctev :: CtEvidence
ctev -> MaybeNew -> TcS MaybeNew
forall (m :: * -> *) a. Monad m => a -> m a
return (MaybeNew -> TcS MaybeNew) -> MaybeNew -> TcS MaybeNew
forall a b. (a -> b) -> a -> b
$ EvExpr -> MaybeNew
Cached (CtEvidence -> EvExpr
ctEvExpr CtEvidence
ctev)
          Nothing   -> CtEvidence -> MaybeNew
Fresh (CtEvidence -> MaybeNew) -> TcS CtEvidence -> TcS MaybeNew
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> CtLoc -> PredType -> TcS CtEvidence
newWantedNC CtLoc
loc PredType
pty
      | Bool
otherwise = MaybeT TcS MaybeNew
forall (m :: * -> *) a. MonadPlus m => m a
mzero

addFunDepWork :: InertCans -> CtEvidence -> Class -> TcS ()
-- Add derived constraints from type-class functional dependencies.
addFunDepWork :: InertCans -> CtEvidence -> Class -> TcS ()
addFunDepWork inerts :: InertCans
inerts work_ev :: CtEvidence
work_ev cls :: Class
cls
  | CtEvidence -> Bool
isImprovable CtEvidence
work_ev
  = (Ct -> TcS ()) -> Cts -> TcS ()
forall (m :: * -> *) a b. Monad m => (a -> m b) -> Bag a -> m ()
mapBagM_ Ct -> TcS ()
add_fds (DictMap Ct -> Class -> Cts
forall a. DictMap a -> Class -> Bag a
findDictsByClass (InertCans -> DictMap Ct
inert_dicts InertCans
inerts) Class
cls)
               -- No need to check flavour; fundeps work between
               -- any pair of constraints, regardless of flavour
               -- Importantly we don't throw workitem back in the
               -- worklist because this can cause loops (see #5236)
  | Bool
otherwise
  = () -> TcS ()
forall (m :: * -> *) a. Monad m => a -> m a
return ()
  where
    work_pred :: PredType
work_pred = CtEvidence -> PredType
ctEvPred CtEvidence
work_ev
    work_loc :: CtLoc
work_loc  = CtEvidence -> CtLoc
ctEvLoc CtEvidence
work_ev

    add_fds :: Ct -> TcS ()
add_fds inert_ct :: Ct
inert_ct
      | CtEvidence -> Bool
isImprovable CtEvidence
inert_ev
      = do { String -> SDoc -> TcS ()
traceTcS "addFunDepWork" ([SDoc] -> SDoc
vcat
                [ CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
work_ev
                , CtLoc -> SDoc
pprCtLoc CtLoc
work_loc, Bool -> SDoc
forall a. Outputable a => a -> SDoc
ppr (CtLoc -> Bool
isGivenLoc CtLoc
work_loc)
                , CtLoc -> SDoc
pprCtLoc CtLoc
inert_loc, Bool -> SDoc
forall a. Outputable a => a -> SDoc
ppr (CtLoc -> Bool
isGivenLoc CtLoc
inert_loc)
                , CtLoc -> SDoc
pprCtLoc CtLoc
derived_loc, Bool -> SDoc
forall a. Outputable a => a -> SDoc
ppr (CtLoc -> Bool
isGivenLoc CtLoc
derived_loc) ]) ;

        [FunDepEqn CtLoc] -> TcS ()
emitFunDepDeriveds ([FunDepEqn CtLoc] -> TcS ()) -> [FunDepEqn CtLoc] -> TcS ()
forall a b. (a -> b) -> a -> b
$
        CtLoc -> PredType -> PredType -> [FunDepEqn CtLoc]
forall loc. loc -> PredType -> PredType -> [FunDepEqn loc]
improveFromAnother CtLoc
derived_loc PredType
inert_pred PredType
work_pred
               -- We don't really rewrite tys2, see below _rewritten_tys2, so that's ok
               -- NB: We do create FDs for given to report insoluble equations that arise
               -- from pairs of Givens, and also because of floating when we approximate
               -- implications. The relevant test is: typecheck/should_fail/FDsFromGivens.hs
        }
      | Bool
otherwise
      = () -> TcS ()
forall (m :: * -> *) a. Monad m => a -> m a
return ()
      where
        inert_ev :: CtEvidence
inert_ev   = Ct -> CtEvidence
ctEvidence Ct
inert_ct
        inert_pred :: PredType
inert_pred = CtEvidence -> PredType
ctEvPred CtEvidence
inert_ev
        inert_loc :: CtLoc
inert_loc  = CtEvidence -> CtLoc
ctEvLoc CtEvidence
inert_ev
        derived_loc :: CtLoc
derived_loc = CtLoc
work_loc { ctl_depth :: SubGoalDepth
ctl_depth  = CtLoc -> SubGoalDepth
ctl_depth CtLoc
work_loc SubGoalDepth -> SubGoalDepth -> SubGoalDepth
`maxSubGoalDepth`
                                              CtLoc -> SubGoalDepth
ctl_depth CtLoc
inert_loc
                               , ctl_origin :: CtOrigin
ctl_origin = PredType -> CtLoc -> PredType -> CtLoc -> CtOrigin
FunDepOrigin1 PredType
work_pred  CtLoc
work_loc
                                                            PredType
inert_pred CtLoc
inert_loc }

{-
**********************************************************************
*                                                                    *
                   Implicit parameters
*                                                                    *
**********************************************************************
-}

interactGivenIP :: InertCans -> Ct -> TcS (StopOrContinue Ct)
-- Work item is Given (?x:ty)
-- See Note [Shadowing of Implicit Parameters]
interactGivenIP :: InertCans -> SimplifierStage
interactGivenIP inerts :: InertCans
inerts workItem :: Ct
workItem@(CDictCan { cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
ev, cc_class :: Ct -> Class
cc_class = Class
cls
                                          , cc_tyargs :: Ct -> [PredType]
cc_tyargs = tys :: [PredType]
tys@(ip_str :: PredType
ip_str:_) })
  = do { (InertCans -> InertCans) -> TcS ()
updInertCans ((InertCans -> InertCans) -> TcS ())
-> (InertCans -> InertCans) -> TcS ()
forall a b. (a -> b) -> a -> b
$ \cans :: InertCans
cans -> InertCans
cans { inert_dicts :: DictMap Ct
inert_dicts = DictMap Ct -> Class -> [PredType] -> Ct -> DictMap Ct
forall a. DictMap a -> Class -> [PredType] -> a -> DictMap a
addDict DictMap Ct
filtered_dicts Class
cls [PredType]
tys Ct
workItem }
       ; CtEvidence -> String -> TcS (StopOrContinue Ct)
forall a. CtEvidence -> String -> TcS (StopOrContinue a)
stopWith CtEvidence
ev "Given IP" }
  where
    dicts :: DictMap Ct
dicts           = InertCans -> DictMap Ct
inert_dicts InertCans
inerts
    ip_dicts :: Cts
ip_dicts        = DictMap Ct -> Class -> Cts
forall a. DictMap a -> Class -> Bag a
findDictsByClass DictMap Ct
dicts Class
cls
    other_ip_dicts :: Cts
other_ip_dicts  = (Ct -> Bool) -> Cts -> Cts
forall a. (a -> Bool) -> Bag a -> Bag a
filterBag (Bool -> Bool
not (Bool -> Bool) -> (Ct -> Bool) -> Ct -> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Ct -> Bool
is_this_ip) Cts
ip_dicts
    filtered_dicts :: DictMap Ct
filtered_dicts  = DictMap Ct -> Class -> Cts -> DictMap Ct
addDictsByClass DictMap Ct
dicts Class
cls Cts
other_ip_dicts

    -- Pick out any Given constraints for the same implicit parameter
    is_this_ip :: Ct -> Bool
is_this_ip (CDictCan { cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
ev, cc_tyargs :: Ct -> [PredType]
cc_tyargs = ip_str' :: PredType
ip_str':_ })
       = CtEvidence -> Bool
isGiven CtEvidence
ev Bool -> Bool -> Bool
&& PredType
ip_str HasDebugCallStack => PredType -> PredType -> Bool
PredType -> PredType -> Bool
`tcEqType` PredType
ip_str'
    is_this_ip _ = Bool
False

interactGivenIP _ wi :: Ct
wi = String -> SDoc -> TcS (StopOrContinue Ct)
forall a. HasCallStack => String -> SDoc -> a
pprPanic "interactGivenIP" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
wi)

{- Note [Shadowing of Implicit Parameters]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider the following example:

f :: (?x :: Char) => Char
f = let ?x = 'a' in ?x

The "let ?x = ..." generates an implication constraint of the form:

?x :: Char => ?x :: Char

Furthermore, the signature for `f` also generates an implication
constraint, so we end up with the following nested implication:

?x :: Char => (?x :: Char => ?x :: Char)

Note that the wanted (?x :: Char) constraint may be solved in
two incompatible ways:  either by using the parameter from the
signature, or by using the local definition.  Our intention is
that the local definition should "shadow" the parameter of the
signature, and we implement this as follows: when we add a new
*given* implicit parameter to the inert set, it replaces any existing
givens for the same implicit parameter.

Similarly, consider
   f :: (?x::a) => Bool -> a

   g v = let ?x::Int = 3
         in (f v, let ?x::Bool = True in f v)

This should probably be well typed, with
   g :: Bool -> (Int, Bool)

So the inner binding for ?x::Bool *overrides* the outer one.

All this works for the normal cases but it has an odd side effect in
some pathological programs like this:
-- This is accepted, the second parameter shadows
f1 :: (?x :: Int, ?x :: Char) => Char
f1 = ?x

-- This is rejected, the second parameter shadows
f2 :: (?x :: Int, ?x :: Char) => Int
f2 = ?x

Both of these are actually wrong:  when we try to use either one,
we'll get two incompatible wanted constraints (?x :: Int, ?x :: Char),
which would lead to an error.

I can think of two ways to fix this:

  1. Simply disallow multiple constraints for the same implicit
    parameter---this is never useful, and it can be detected completely
    syntactically.

  2. Move the shadowing machinery to the location where we nest
     implications, and add some code here that will produce an
     error if we get multiple givens for the same implicit parameter.


**********************************************************************
*                                                                    *
                   interactFunEq
*                                                                    *
**********************************************************************
-}

interactFunEq :: InertCans -> Ct -> TcS (StopOrContinue Ct)
-- Try interacting the work item with the inert set
interactFunEq :: InertCans -> SimplifierStage
interactFunEq inerts :: InertCans
inerts work_item :: Ct
work_item@(CFunEqCan { cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
ev, cc_fun :: Ct -> TyCon
cc_fun = TyCon
tc
                                          , cc_tyargs :: Ct -> [PredType]
cc_tyargs = [PredType]
args, cc_fsk :: Ct -> EvVar
cc_fsk = EvVar
fsk })
  | Just inert_ct :: Ct
inert_ct@(CFunEqCan { cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
ev_i
                             , cc_fsk :: Ct -> EvVar
cc_fsk = EvVar
fsk_i })
         <- DictMap Ct -> TyCon -> [PredType] -> Maybe Ct
forall a. FunEqMap a -> TyCon -> [PredType] -> Maybe a
findFunEq (InertCans -> DictMap Ct
inert_funeqs InertCans
inerts) TyCon
tc [PredType]
args
  , pr :: (SwapFlag, Bool)
pr@(swap_flag :: SwapFlag
swap_flag, upgrade_flag :: Bool
upgrade_flag) <- CtEvidence
ev_i CtEvidence -> CtEvidence -> (SwapFlag, Bool)
`funEqCanDischarge` CtEvidence
ev
  = do { String -> SDoc -> TcS ()
traceTcS "reactFunEq (rewrite inert item):" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$
         [SDoc] -> SDoc
vcat [ String -> SDoc
text "work_item =" SDoc -> SDoc -> SDoc
<+> Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
work_item
              , String -> SDoc
text "inertItem=" SDoc -> SDoc -> SDoc
<+> CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
ev_i
              , String -> SDoc
text "(swap_flag, upgrade)" SDoc -> SDoc -> SDoc
<+> (SwapFlag, Bool) -> SDoc
forall a. Outputable a => a -> SDoc
ppr (SwapFlag, Bool)
pr ]
       ; if SwapFlag -> Bool
isSwapped SwapFlag
swap_flag
         then do {   -- Rewrite inert using work-item
                   let work_item' :: Ct
work_item' | Bool
upgrade_flag = Ct -> Ct
upgradeWanted Ct
work_item
                                  | Bool
otherwise    = Ct
work_item
                 ; (DictMap Ct -> DictMap Ct) -> TcS ()
updInertFunEqs ((DictMap Ct -> DictMap Ct) -> TcS ())
-> (DictMap Ct -> DictMap Ct) -> TcS ()
forall a b. (a -> b) -> a -> b
$ \ feqs :: DictMap Ct
feqs -> DictMap Ct -> TyCon -> [PredType] -> Ct -> DictMap Ct
forall a. FunEqMap a -> TyCon -> [PredType] -> a -> FunEqMap a
insertFunEq DictMap Ct
feqs TyCon
tc [PredType]
args Ct
work_item'
                      -- Do the updInertFunEqs before the reactFunEq, so that
                      -- we don't kick out the inertItem as well as consuming it!
                 ; CtEvidence -> EvVar -> CtEvidence -> EvVar -> TcS ()
reactFunEq CtEvidence
ev EvVar
fsk CtEvidence
ev_i EvVar
fsk_i
                 ; CtEvidence -> String -> TcS (StopOrContinue Ct)
forall a. CtEvidence -> String -> TcS (StopOrContinue a)
stopWith CtEvidence
ev "Work item rewrites inert" }
         else do {   -- Rewrite work-item using inert
                 ; Bool -> TcS () -> TcS ()
forall (f :: * -> *). Applicative f => Bool -> f () -> f ()
when Bool
upgrade_flag (TcS () -> TcS ()) -> TcS () -> TcS ()
forall a b. (a -> b) -> a -> b
$
                   (DictMap Ct -> DictMap Ct) -> TcS ()
updInertFunEqs ((DictMap Ct -> DictMap Ct) -> TcS ())
-> (DictMap Ct -> DictMap Ct) -> TcS ()
forall a b. (a -> b) -> a -> b
$ \ feqs :: DictMap Ct
feqs -> DictMap Ct -> TyCon -> [PredType] -> Ct -> DictMap Ct
forall a. FunEqMap a -> TyCon -> [PredType] -> a -> FunEqMap a
insertFunEq DictMap Ct
feqs TyCon
tc [PredType]
args
                                                 (Ct -> Ct
upgradeWanted Ct
inert_ct)
                 ; CtEvidence -> EvVar -> CtEvidence -> EvVar -> TcS ()
reactFunEq CtEvidence
ev_i EvVar
fsk_i CtEvidence
ev EvVar
fsk
                 ; CtEvidence -> String -> TcS (StopOrContinue Ct)
forall a. CtEvidence -> String -> TcS (StopOrContinue a)
stopWith CtEvidence
ev "Inert rewrites work item" } }

  | Bool
otherwise   -- Try improvement
  = do { CtEvidence -> InertCans -> TyCon -> [PredType] -> EvVar -> TcS ()
improveLocalFunEqs CtEvidence
ev InertCans
inerts TyCon
tc [PredType]
args EvVar
fsk
       ; SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
work_item }

interactFunEq _ work_item :: Ct
work_item = String -> SDoc -> TcS (StopOrContinue Ct)
forall a. HasCallStack => String -> SDoc -> a
pprPanic "interactFunEq" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
work_item)

upgradeWanted :: Ct -> Ct
-- We are combining a [W] F tys ~ fmv1 and [D] F tys ~ fmv2
-- so upgrade the [W] to [WD] before putting it in the inert set
upgradeWanted :: Ct -> Ct
upgradeWanted ct :: Ct
ct = Ct
ct { cc_ev :: CtEvidence
cc_ev = CtEvidence -> CtEvidence
upgrade_ev (Ct -> CtEvidence
cc_ev Ct
ct) }
  where
    upgrade_ev :: CtEvidence -> CtEvidence
upgrade_ev ev :: CtEvidence
ev = ASSERT2( isWanted ev, ppr ct )
                    CtEvidence
ev { ctev_nosh :: ShadowInfo
ctev_nosh = ShadowInfo
WDeriv }

improveLocalFunEqs :: CtEvidence -> InertCans -> TyCon -> [TcType] -> TcTyVar
                   -> TcS ()
-- Generate derived improvement equalities, by comparing
-- the current work item with inert CFunEqs
-- E.g.   x + y ~ z,   x + y' ~ z   =>   [D] y ~ y'
--
-- See Note [FunDep and implicit parameter reactions]
improveLocalFunEqs :: CtEvidence -> InertCans -> TyCon -> [PredType] -> EvVar -> TcS ()
improveLocalFunEqs work_ev :: CtEvidence
work_ev inerts :: InertCans
inerts fam_tc :: TyCon
fam_tc args :: [PredType]
args fsk :: EvVar
fsk
  | CtEvidence -> Bool
isGiven CtEvidence
work_ev -- See Note [No FunEq improvement for Givens]
    Bool -> Bool -> Bool
|| Bool -> Bool
not (CtEvidence -> Bool
isImprovable CtEvidence
work_ev)
  = () -> TcS ()
forall (m :: * -> *) a. Monad m => a -> m a
return ()

  | Bool -> Bool
not ([FunDepEqn CtLoc] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null [FunDepEqn CtLoc]
improvement_eqns)
  = do { String -> SDoc -> TcS ()
traceTcS "interactFunEq improvements: " (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$
         [SDoc] -> SDoc
vcat [ String -> SDoc
text "Eqns:" SDoc -> SDoc -> SDoc
<+> [FunDepEqn CtLoc] -> SDoc
forall a. Outputable a => a -> SDoc
ppr [FunDepEqn CtLoc]
improvement_eqns
              , String -> SDoc
text "Candidates:" SDoc -> SDoc -> SDoc
<+> [Ct] -> SDoc
forall a. Outputable a => a -> SDoc
ppr [Ct]
funeqs_for_tc
              , String -> SDoc
text "Inert eqs:" SDoc -> SDoc -> SDoc
<+> InertEqs -> SDoc
forall a. Outputable a => a -> SDoc
ppr InertEqs
ieqs ]
       ; [FunDepEqn CtLoc] -> TcS ()
emitFunDepDeriveds [FunDepEqn CtLoc]
improvement_eqns }

  | Bool
otherwise
  = () -> TcS ()
forall (m :: * -> *) a. Monad m => a -> m a
return ()

  where
    ieqs :: InertEqs
ieqs          = InertCans -> InertEqs
inert_eqs InertCans
inerts
    funeqs :: DictMap Ct
funeqs        = InertCans -> DictMap Ct
inert_funeqs InertCans
inerts
    funeqs_for_tc :: [Ct]
funeqs_for_tc = DictMap Ct -> TyCon -> [Ct]
forall a. FunEqMap a -> TyCon -> [a]
findFunEqsByTyCon DictMap Ct
funeqs TyCon
fam_tc
    rhs :: PredType
rhs           = InertEqs -> EvVar -> PredType
lookupFlattenTyVar InertEqs
ieqs EvVar
fsk
    work_loc :: CtLoc
work_loc      = CtEvidence -> CtLoc
ctEvLoc CtEvidence
work_ev
    work_pred :: PredType
work_pred     = CtEvidence -> PredType
ctEvPred CtEvidence
work_ev
    fam_inj_info :: Injectivity
fam_inj_info  = TyCon -> Injectivity
tyConInjectivityInfo TyCon
fam_tc

    --------------------
    improvement_eqns :: [FunDepEqn CtLoc]
    improvement_eqns :: [FunDepEqn CtLoc]
improvement_eqns
      | Just ops :: BuiltInSynFamily
ops <- TyCon -> Maybe BuiltInSynFamily
isBuiltInSynFamTyCon_maybe TyCon
fam_tc
      =    -- Try built-in families, notably for arithmethic
         (Ct -> [FunDepEqn CtLoc]) -> [Ct] -> [FunDepEqn CtLoc]
forall (t :: * -> *) a b. Foldable t => (a -> [b]) -> t a -> [b]
concatMap (BuiltInSynFamily -> Ct -> [FunDepEqn CtLoc]
do_one_built_in BuiltInSynFamily
ops) [Ct]
funeqs_for_tc

      | Injective injective_args :: [Bool]
injective_args <- Injectivity
fam_inj_info
      =    -- Try improvement from type families with injectivity annotations
        (Ct -> [FunDepEqn CtLoc]) -> [Ct] -> [FunDepEqn CtLoc]
forall (t :: * -> *) a b. Foldable t => (a -> [b]) -> t a -> [b]
concatMap ([Bool] -> Ct -> [FunDepEqn CtLoc]
do_one_injective [Bool]
injective_args) [Ct]
funeqs_for_tc

      | Bool
otherwise
      = []

    --------------------
    do_one_built_in :: BuiltInSynFamily -> Ct -> [FunDepEqn CtLoc]
do_one_built_in ops :: BuiltInSynFamily
ops (CFunEqCan { cc_tyargs :: Ct -> [PredType]
cc_tyargs = [PredType]
iargs, cc_fsk :: Ct -> EvVar
cc_fsk = EvVar
ifsk, cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
inert_ev })
      = CtEvidence -> [TypeEqn] -> [FunDepEqn CtLoc]
mk_fd_eqns CtEvidence
inert_ev (BuiltInSynFamily
-> [PredType] -> PredType -> [PredType] -> PredType -> [TypeEqn]
sfInteractInert BuiltInSynFamily
ops [PredType]
args PredType
rhs [PredType]
iargs
                                             (InertEqs -> EvVar -> PredType
lookupFlattenTyVar InertEqs
ieqs EvVar
ifsk))

    do_one_built_in _ _ = String -> SDoc -> [FunDepEqn CtLoc]
forall a. HasCallStack => String -> SDoc -> a
pprPanic "interactFunEq 1" (TyCon -> SDoc
forall a. Outputable a => a -> SDoc
ppr TyCon
fam_tc)

    --------------------
    -- See Note [Type inference for type families with injectivity]
    do_one_injective :: [Bool] -> Ct -> [FunDepEqn CtLoc]
do_one_injective inj_args :: [Bool]
inj_args (CFunEqCan { cc_tyargs :: Ct -> [PredType]
cc_tyargs = [PredType]
inert_args
                                         , cc_fsk :: Ct -> EvVar
cc_fsk = EvVar
ifsk, cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
inert_ev })
      | CtEvidence -> Bool
isImprovable CtEvidence
inert_ev
      , PredType
rhs HasDebugCallStack => PredType -> PredType -> Bool
PredType -> PredType -> Bool
`tcEqType` InertEqs -> EvVar -> PredType
lookupFlattenTyVar InertEqs
ieqs EvVar
ifsk
      = CtEvidence -> [TypeEqn] -> [FunDepEqn CtLoc]
mk_fd_eqns CtEvidence
inert_ev ([TypeEqn] -> [FunDepEqn CtLoc]) -> [TypeEqn] -> [FunDepEqn CtLoc]
forall a b. (a -> b) -> a -> b
$
            [ PredType -> PredType -> TypeEqn
forall a. a -> a -> Pair a
Pair PredType
arg PredType
iarg
            | (arg :: PredType
arg, iarg :: PredType
iarg, True) <- [PredType] -> [PredType] -> [Bool] -> [(PredType, PredType, Bool)]
forall a b c. [a] -> [b] -> [c] -> [(a, b, c)]
zip3 [PredType]
args [PredType]
inert_args [Bool]
inj_args ]
      | Bool
otherwise
      = []

    do_one_injective _ _ = String -> SDoc -> [FunDepEqn CtLoc]
forall a. HasCallStack => String -> SDoc -> a
pprPanic "interactFunEq 2" (TyCon -> SDoc
forall a. Outputable a => a -> SDoc
ppr TyCon
fam_tc)

    --------------------
    mk_fd_eqns :: CtEvidence -> [TypeEqn] -> [FunDepEqn CtLoc]
    mk_fd_eqns :: CtEvidence -> [TypeEqn] -> [FunDepEqn CtLoc]
mk_fd_eqns inert_ev :: CtEvidence
inert_ev eqns :: [TypeEqn]
eqns
      | [TypeEqn] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null [TypeEqn]
eqns  = []
      | Bool
otherwise  = [ FDEqn :: forall loc.
[EvVar]
-> [TypeEqn] -> PredType -> PredType -> loc -> FunDepEqn loc
FDEqn { fd_qtvs :: [EvVar]
fd_qtvs = [], fd_eqs :: [TypeEqn]
fd_eqs = [TypeEqn]
eqns
                             , fd_pred1 :: PredType
fd_pred1 = PredType
work_pred
                             , fd_pred2 :: PredType
fd_pred2 = CtEvidence -> PredType
ctEvPred CtEvidence
inert_ev
                             , fd_loc :: CtLoc
fd_loc   = CtLoc
loc } ]
      where
        inert_loc :: CtLoc
inert_loc = CtEvidence -> CtLoc
ctEvLoc CtEvidence
inert_ev
        loc :: CtLoc
loc = CtLoc
inert_loc { ctl_depth :: SubGoalDepth
ctl_depth = CtLoc -> SubGoalDepth
ctl_depth CtLoc
inert_loc SubGoalDepth -> SubGoalDepth -> SubGoalDepth
`maxSubGoalDepth`
                                      CtLoc -> SubGoalDepth
ctl_depth CtLoc
work_loc }

-------------
reactFunEq :: CtEvidence -> TcTyVar    -- From this  :: F args1 ~ fsk1
           -> CtEvidence -> TcTyVar    -- Solve this :: F args2 ~ fsk2
           -> TcS ()
reactFunEq :: CtEvidence -> EvVar -> CtEvidence -> EvVar -> TcS ()
reactFunEq from_this :: CtEvidence
from_this fsk1 :: EvVar
fsk1 solve_this :: CtEvidence
solve_this fsk2 :: EvVar
fsk2
  = do { String -> SDoc -> TcS ()
traceTcS "reactFunEq"
            ([SDoc] -> SDoc
vcat [CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
from_this, EvVar -> SDoc
forall a. Outputable a => a -> SDoc
ppr EvVar
fsk1, CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
solve_this, EvVar -> SDoc
forall a. Outputable a => a -> SDoc
ppr EvVar
fsk2])
       ; CtEvidence -> EvVar -> TcCoercion -> PredType -> TcS ()
dischargeFunEq CtEvidence
solve_this EvVar
fsk2 (HasDebugCallStack => CtEvidence -> TcCoercion
CtEvidence -> TcCoercion
ctEvCoercion CtEvidence
from_this) (EvVar -> PredType
mkTyVarTy EvVar
fsk1)
       ; String -> SDoc -> TcS ()
traceTcS "reactFunEq done" (CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
from_this SDoc -> SDoc -> SDoc
$$ EvVar -> SDoc
forall a. Outputable a => a -> SDoc
ppr EvVar
fsk1 SDoc -> SDoc -> SDoc
$$
                                     CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
solve_this SDoc -> SDoc -> SDoc
$$ EvVar -> SDoc
forall a. Outputable a => a -> SDoc
ppr EvVar
fsk2) }

{- Note [Type inference for type families with injectivity]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Suppose we have a type family with an injectivity annotation:
    type family F a b = r | r -> b

Then if we have two CFunEqCan constraints for F with the same RHS
   F s1 t1 ~ rhs
   F s2 t2 ~ rhs
then we can use the injectivity to get a new Derived constraint on
the injective argument
  [D] t1 ~ t2

That in turn can help GHC solve constraints that would otherwise require
guessing.  For example, consider the ambiguity check for
   f :: F Int b -> Int
We get the constraint
   [W] F Int b ~ F Int beta
where beta is a unification variable.  Injectivity lets us pick beta ~ b.

Injectivity information is also used at the call sites. For example:
   g = f True
gives rise to
   [W] F Int b ~ Bool
from which we can derive b.  This requires looking at the defining equations of
a type family, ie. finding equation with a matching RHS (Bool in this example)
and infering values of type variables (b in this example) from the LHS patterns
of the matching equation.  For closed type families we have to perform
additional apartness check for the selected equation to check that the selected
is guaranteed to fire for given LHS arguments.

These new constraints are simply *Derived* constraints; they have no evidence.
We could go further and offer evidence from decomposing injective type-function
applications, but that would require new evidence forms, and an extension to
FC, so we don't do that right now (Dec 14).

See also Note [Injective type families] in TyCon


Note [Cache-caused loops]
~~~~~~~~~~~~~~~~~~~~~~~~~
It is very dangerous to cache a rewritten wanted family equation as 'solved' in our
solved cache (which is the default behaviour or xCtEvidence), because the interaction
may not be contributing towards a solution. Here is an example:

Initial inert set:
  [W] g1 : F a ~ beta1
Work item:
  [W] g2 : F a ~ beta2
The work item will react with the inert yielding the _same_ inert set plus:
    (i)   Will set g2 := g1 `cast` g3
    (ii)  Will add to our solved cache that [S] g2 : F a ~ beta2
    (iii) Will emit [W] g3 : beta1 ~ beta2
Now, the g3 work item will be spontaneously solved to [G] g3 : beta1 ~ beta2
and then it will react the item in the inert ([W] g1 : F a ~ beta1). So it
will set
      g1 := g ; sym g3
and what is g? Well it would ideally be a new goal of type (F a ~ beta2) but
remember that we have this in our solved cache, and it is ... g2! In short we
created the evidence loop:

        g2 := g1 ; g3
        g3 := refl
        g1 := g2 ; sym g3

To avoid this situation we do not cache as solved any workitems (or inert)
which did not really made a 'step' towards proving some goal. Solved's are
just an optimization so we don't lose anything in terms of completeness of
solving.


Note [Efficient Orientation]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Suppose we are interacting two FunEqCans with the same LHS:
          (inert)  ci :: (F ty ~ xi_i)
          (work)   cw :: (F ty ~ xi_w)
We prefer to keep the inert (else we pass the work item on down
the pipeline, which is a bit silly).  If we keep the inert, we
will (a) discharge 'cw'
     (b) produce a new equality work-item (xi_w ~ xi_i)
Notice the orientation (xi_w ~ xi_i) NOT (xi_i ~ xi_w):
    new_work :: xi_w ~ xi_i
    cw := ci ; sym new_work
Why?  Consider the simplest case when xi1 is a type variable.  If
we generate xi1~xi2, porcessing that constraint will kick out 'ci'.
If we generate xi2~xi1, there is less chance of that happening.
Of course it can and should still happen if xi1=a, xi1=Int, say.
But we want to avoid it happening needlessly.

Similarly, if we *can't* keep the inert item (because inert is Wanted,
and work is Given, say), we prefer to orient the new equality (xi_i ~
xi_w).

Note [Carefully solve the right CFunEqCan]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
   ---- OLD COMMENT, NOW NOT NEEDED
   ---- because we now allow multiple
   ---- wanted FunEqs with the same head
Consider the constraints
  c1 :: F Int ~ a      -- Arising from an application line 5
  c2 :: F Int ~ Bool   -- Arising from an application line 10
Suppose that 'a' is a unification variable, arising only from
flattening.  So there is no error on line 5; it's just a flattening
variable.  But there is (or might be) an error on line 10.

Two ways to combine them, leaving either (Plan A)
  c1 :: F Int ~ a      -- Arising from an application line 5
  c3 :: a ~ Bool       -- Arising from an application line 10
or (Plan B)
  c2 :: F Int ~ Bool   -- Arising from an application line 10
  c4 :: a ~ Bool       -- Arising from an application line 5

Plan A will unify c3, leaving c1 :: F Int ~ Bool as an error
on the *totally innocent* line 5.  An example is test SimpleFail16
where the expected/actual message comes out backwards if we use
the wrong plan.

The second is the right thing to do.  Hence the isMetaTyVarTy
test when solving pairwise CFunEqCan.


**********************************************************************
*                                                                    *
                   interactTyVarEq
*                                                                    *
**********************************************************************
-}

inertsCanDischarge :: InertCans -> TcTyVar -> TcType -> CtFlavourRole
                   -> Maybe ( CtEvidence  -- The evidence for the inert
                            , SwapFlag    -- Whether we need mkSymCo
                            , Bool)       -- True <=> keep a [D] version
                                          --          of the [WD] constraint
inertsCanDischarge :: InertCans
-> EvVar
-> PredType
-> CtFlavourRole
-> Maybe (CtEvidence, SwapFlag, Bool)
inertsCanDischarge inerts :: InertCans
inerts tv :: EvVar
tv rhs :: PredType
rhs fr :: CtFlavourRole
fr
  | (ev_i :: CtEvidence
ev_i : _) <- [ CtEvidence
ev_i | CTyEqCan { cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
ev_i, cc_rhs :: Ct -> PredType
cc_rhs = PredType
rhs_i
                                    , cc_eq_rel :: Ct -> EqRel
cc_eq_rel = EqRel
eq_rel }
                             <- InertCans -> EvVar -> [Ct]
findTyEqs InertCans
inerts EvVar
tv
                         , (CtEvidence -> CtFlavour
ctEvFlavour CtEvidence
ev_i, EqRel
eq_rel) CtFlavourRole -> CtFlavourRole -> Bool
`eqCanDischargeFR` CtFlavourRole
fr
                         , PredType
rhs_i HasDebugCallStack => PredType -> PredType -> Bool
PredType -> PredType -> Bool
`tcEqType` PredType
rhs ]
  =  -- Inert:     a ~ ty
     -- Work item: a ~ ty
    (CtEvidence, SwapFlag, Bool) -> Maybe (CtEvidence, SwapFlag, Bool)
forall a. a -> Maybe a
Just (CtEvidence
ev_i, SwapFlag
NotSwapped, CtEvidence -> Bool
keep_deriv CtEvidence
ev_i)

  | Just tv_rhs :: EvVar
tv_rhs <- PredType -> Maybe EvVar
getTyVar_maybe PredType
rhs
  , (ev_i :: CtEvidence
ev_i : _) <- [ CtEvidence
ev_i | CTyEqCan { cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
ev_i, cc_rhs :: Ct -> PredType
cc_rhs = PredType
rhs_i
                                    , cc_eq_rel :: Ct -> EqRel
cc_eq_rel = EqRel
eq_rel }
                             <- InertCans -> EvVar -> [Ct]
findTyEqs InertCans
inerts EvVar
tv_rhs
                         , (CtEvidence -> CtFlavour
ctEvFlavour CtEvidence
ev_i, EqRel
eq_rel) CtFlavourRole -> CtFlavourRole -> Bool
`eqCanDischargeFR` CtFlavourRole
fr
                         , PredType
rhs_i HasDebugCallStack => PredType -> PredType -> Bool
PredType -> PredType -> Bool
`tcEqType` EvVar -> PredType
mkTyVarTy EvVar
tv ]
  =  -- Inert:     a ~ b
     -- Work item: b ~ a
     (CtEvidence, SwapFlag, Bool) -> Maybe (CtEvidence, SwapFlag, Bool)
forall a. a -> Maybe a
Just (CtEvidence
ev_i, SwapFlag
IsSwapped, CtEvidence -> Bool
keep_deriv CtEvidence
ev_i)

  | Bool
otherwise
  = Maybe (CtEvidence, SwapFlag, Bool)
forall a. Maybe a
Nothing

  where
    keep_deriv :: CtEvidence -> Bool
keep_deriv ev_i :: CtEvidence
ev_i
      | Wanted WOnly  <- CtEvidence -> CtFlavour
ctEvFlavour CtEvidence
ev_i  -- inert is [W]
      , (Wanted WDeriv, _) <- CtFlavourRole
fr           -- work item is [WD]
      = Bool
True   -- Keep a derived verison of the work item
      | Bool
otherwise
      = Bool
False  -- Work item is fully discharged

interactTyVarEq :: InertCans -> Ct -> TcS (StopOrContinue Ct)
-- CTyEqCans are always consumed, so always returns Stop
interactTyVarEq :: InertCans -> SimplifierStage
interactTyVarEq inerts :: InertCans
inerts workItem :: Ct
workItem@(CTyEqCan { cc_tyvar :: Ct -> EvVar
cc_tyvar = EvVar
tv
                                          , cc_rhs :: Ct -> PredType
cc_rhs = PredType
rhs
                                          , cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
ev
                                          , cc_eq_rel :: Ct -> EqRel
cc_eq_rel = EqRel
eq_rel })
  | Just (ev_i :: CtEvidence
ev_i, swapped :: SwapFlag
swapped, keep_deriv :: Bool
keep_deriv)
       <- InertCans
-> EvVar
-> PredType
-> CtFlavourRole
-> Maybe (CtEvidence, SwapFlag, Bool)
inertsCanDischarge InertCans
inerts EvVar
tv PredType
rhs (CtEvidence -> CtFlavour
ctEvFlavour CtEvidence
ev, EqRel
eq_rel)
  = do { CtEvidence -> EvTerm -> TcS ()
setEvBindIfWanted CtEvidence
ev (EvTerm -> TcS ()) -> EvTerm -> TcS ()
forall a b. (a -> b) -> a -> b
$
         TcCoercion -> EvTerm
evCoercion (SwapFlag -> TcCoercion -> TcCoercion
maybeSym SwapFlag
swapped (TcCoercion -> TcCoercion) -> TcCoercion -> TcCoercion
forall a b. (a -> b) -> a -> b
$
                     Role -> Role -> TcCoercion -> TcCoercion
tcDowngradeRole (EqRel -> Role
eqRelRole EqRel
eq_rel)
                                     (CtEvidence -> Role
ctEvRole CtEvidence
ev_i)
                                     (HasDebugCallStack => CtEvidence -> TcCoercion
CtEvidence -> TcCoercion
ctEvCoercion CtEvidence
ev_i))

       ; let deriv_ev :: CtEvidence
deriv_ev = CtDerived :: PredType -> CtLoc -> CtEvidence
CtDerived { ctev_pred :: PredType
ctev_pred = CtEvidence -> PredType
ctEvPred CtEvidence
ev
                                  , ctev_loc :: CtLoc
ctev_loc  = CtEvidence -> CtLoc
ctEvLoc  CtEvidence
ev }
       ; Bool -> TcS () -> TcS ()
forall (f :: * -> *). Applicative f => Bool -> f () -> f ()
when Bool
keep_deriv (TcS () -> TcS ()) -> TcS () -> TcS ()
forall a b. (a -> b) -> a -> b
$
         [Ct] -> TcS ()
emitWork [Ct
workItem { cc_ev :: CtEvidence
cc_ev = CtEvidence
deriv_ev }]
         -- As a Derived it might not be fully rewritten,
         -- so we emit it as new work

       ; CtEvidence -> String -> TcS (StopOrContinue Ct)
forall a. CtEvidence -> String -> TcS (StopOrContinue a)
stopWith CtEvidence
ev "Solved from inert" }

  | EqRel
ReprEq <- EqRel
eq_rel   -- See Note [Do not unify representational equalities]
  = do { String -> SDoc -> TcS ()
traceTcS "Not unifying representational equality" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
workItem)
       ; SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
workItem }

  | CtEvidence -> Bool
isGiven CtEvidence
ev         -- See Note [Touchables and givens]
  = SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
workItem

  | Bool
otherwise
  = do { TcLevel
tclvl <- TcS TcLevel
getTcLevel
       ; if TcLevel -> EvVar -> PredType -> Bool
canSolveByUnification TcLevel
tclvl EvVar
tv PredType
rhs
         then do { CtEvidence -> EvVar -> PredType -> TcS ()
solveByUnification CtEvidence
ev EvVar
tv PredType
rhs
                 ; Int
n_kicked <- EvVar -> TcS Int
kickOutAfterUnification EvVar
tv
                 ; StopOrContinue Ct -> TcS (StopOrContinue Ct)
forall (m :: * -> *) a. Monad m => a -> m a
return (CtEvidence -> SDoc -> StopOrContinue Ct
forall a. CtEvidence -> SDoc -> StopOrContinue a
Stop CtEvidence
ev (String -> SDoc
text "Solved by unification" SDoc -> SDoc -> SDoc
<+> Int -> SDoc
pprKicked Int
n_kicked)) }

         else SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
workItem }

interactTyVarEq _ wi :: Ct
wi = String -> SDoc -> TcS (StopOrContinue Ct)
forall a. HasCallStack => String -> SDoc -> a
pprPanic "interactTyVarEq" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
wi)

solveByUnification :: CtEvidence -> TcTyVar -> Xi -> TcS ()
-- Solve with the identity coercion
-- Precondition: kind(xi) equals kind(tv)
-- Precondition: CtEvidence is Wanted or Derived
-- Precondition: CtEvidence is nominal
-- Returns: workItem where
--        workItem = the new Given constraint
--
-- NB: No need for an occurs check here, because solveByUnification always
--     arises from a CTyEqCan, a *canonical* constraint.  Its invariants
--     say that in (a ~ xi), the type variable a does not appear in xi.
--     See TcRnTypes.Ct invariants.
--
-- Post: tv is unified (by side effect) with xi;
--       we often write tv := xi
solveByUnification :: CtEvidence -> EvVar -> PredType -> TcS ()
solveByUnification wd :: CtEvidence
wd tv :: EvVar
tv xi :: PredType
xi
  = do { let tv_ty :: PredType
tv_ty = EvVar -> PredType
mkTyVarTy EvVar
tv
       ; String -> SDoc -> TcS ()
traceTcS "Sneaky unification:" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$
                       [SDoc] -> SDoc
vcat [String -> SDoc
text "Unifies:" SDoc -> SDoc -> SDoc
<+> EvVar -> SDoc
forall a. Outputable a => a -> SDoc
ppr EvVar
tv SDoc -> SDoc -> SDoc
<+> String -> SDoc
text ":=" SDoc -> SDoc -> SDoc
<+> PredType -> SDoc
forall a. Outputable a => a -> SDoc
ppr PredType
xi,
                             String -> SDoc
text "Coercion:" SDoc -> SDoc -> SDoc
<+> PredType -> PredType -> SDoc
pprEq PredType
tv_ty PredType
xi,
                             String -> SDoc
text "Left Kind is:" SDoc -> SDoc -> SDoc
<+> PredType -> SDoc
forall a. Outputable a => a -> SDoc
ppr (HasDebugCallStack => PredType -> PredType
PredType -> PredType
tcTypeKind PredType
tv_ty),
                             String -> SDoc
text "Right Kind is:" SDoc -> SDoc -> SDoc
<+> PredType -> SDoc
forall a. Outputable a => a -> SDoc
ppr (HasDebugCallStack => PredType -> PredType
PredType -> PredType
tcTypeKind PredType
xi) ]

       ; EvVar -> PredType -> TcS ()
unifyTyVar EvVar
tv PredType
xi
       ; CtEvidence -> EvTerm -> TcS ()
setEvBindIfWanted CtEvidence
wd (TcCoercion -> EvTerm
evCoercion (PredType -> TcCoercion
mkTcNomReflCo PredType
xi)) }

{- Note [Avoid double unifications]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The spontaneous solver has to return a given which mentions the unified unification
variable *on the left* of the equality. Here is what happens if not:
  Original wanted:  (a ~ alpha),  (alpha ~ Int)
We spontaneously solve the first wanted, without changing the order!
      given : a ~ alpha      [having unified alpha := a]
Now the second wanted comes along, but he cannot rewrite the given, so we simply continue.
At the end we spontaneously solve that guy, *reunifying*  [alpha := Int]

We avoid this problem by orienting the resulting given so that the unification
variable is on the left.  [Note that alternatively we could attempt to
enforce this at canonicalization]

See also Note [No touchables as FunEq RHS] in TcSMonad; avoiding
double unifications is the main reason we disallow touchable
unification variables as RHS of type family equations: F xis ~ alpha.

Note [Do not unify representational equalities]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider   [W] alpha ~R# b
where alpha is touchable. Should we unify alpha := b?

Certainly not!  Unifying forces alpha and be to be the same; but they
only need to be representationally equal types.

For example, we might have another constraint [W] alpha ~# N b
where
  newtype N b = MkN b
and we want to get alpha := N b.

See also Trac #15144, which was caused by unifying a representational
equality (in the unflattener).


************************************************************************
*                                                                      *
*          Functional dependencies, instantiation of equations
*                                                                      *
************************************************************************

When we spot an equality arising from a functional dependency,
we now use that equality (a "wanted") to rewrite the work-item
constraint right away.  This avoids two dangers

 Danger 1: If we send the original constraint on down the pipeline
           it may react with an instance declaration, and in delicate
           situations (when a Given overlaps with an instance) that
           may produce new insoluble goals: see Trac #4952

 Danger 2: If we don't rewrite the constraint, it may re-react
           with the same thing later, and produce the same equality
           again --> termination worries.

To achieve this required some refactoring of FunDeps.hs (nicer
now!).

Note [FunDep and implicit parameter reactions]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Currently, our story of interacting two dictionaries (or a dictionary
and top-level instances) for functional dependencies, and implicit
parameters, is that we simply produce new Derived equalities.  So for example

        class D a b | a -> b where ...
    Inert:
        d1 :g D Int Bool
    WorkItem:
        d2 :w D Int alpha

    We generate the extra work item
        cv :d alpha ~ Bool
    where 'cv' is currently unused.  However, this new item can perhaps be
    spontaneously solved to become given and react with d2,
    discharging it in favour of a new constraint d2' thus:
        d2' :w D Int Bool
        d2 := d2' |> D Int cv
    Now d2' can be discharged from d1

We could be more aggressive and try to *immediately* solve the dictionary
using those extra equalities, but that requires those equalities to carry
evidence and derived do not carry evidence.

If that were the case with the same inert set and work item we might dischard
d2 directly:

        cv :w alpha ~ Bool
        d2 := d1 |> D Int cv

But in general it's a bit painful to figure out the necessary coercion,
so we just take the first approach. Here is a better example. Consider:
    class C a b c | a -> b
And:
     [Given]  d1 : C T Int Char
     [Wanted] d2 : C T beta Int
In this case, it's *not even possible* to solve the wanted immediately.
So we should simply output the functional dependency and add this guy
[but NOT its superclasses] back in the worklist. Even worse:
     [Given] d1 : C T Int beta
     [Wanted] d2: C T beta Int
Then it is solvable, but its very hard to detect this on the spot.

It's exactly the same with implicit parameters, except that the
"aggressive" approach would be much easier to implement.

Note [Weird fundeps]
~~~~~~~~~~~~~~~~~~~~
Consider   class Het a b | a -> b where
              het :: m (f c) -> a -> m b

           class GHet (a :: * -> *) (b :: * -> *) | a -> b
           instance            GHet (K a) (K [a])
           instance Het a b => GHet (K a) (K b)

The two instances don't actually conflict on their fundeps,
although it's pretty strange.  So they are both accepted. Now
try   [W] GHet (K Int) (K Bool)
This triggers fundeps from both instance decls;
      [D] K Bool ~ K [a]
      [D] K Bool ~ K beta
And there's a risk of complaining about Bool ~ [a].  But in fact
the Wanted matches the second instance, so we never get as far
as the fundeps.

Trac #7875 is a case in point.
-}

emitFunDepDeriveds :: [FunDepEqn CtLoc] -> TcS ()
-- See Note [FunDep and implicit parameter reactions]
emitFunDepDeriveds :: [FunDepEqn CtLoc] -> TcS ()
emitFunDepDeriveds fd_eqns :: [FunDepEqn CtLoc]
fd_eqns
  = (FunDepEqn CtLoc -> TcS ()) -> [FunDepEqn CtLoc] -> TcS ()
forall (t :: * -> *) (m :: * -> *) a b.
(Foldable t, Monad m) =>
(a -> m b) -> t a -> m ()
mapM_ FunDepEqn CtLoc -> TcS ()
do_one_FDEqn [FunDepEqn CtLoc]
fd_eqns
  where
    do_one_FDEqn :: FunDepEqn CtLoc -> TcS ()
do_one_FDEqn (FDEqn { fd_qtvs :: forall loc. FunDepEqn loc -> [EvVar]
fd_qtvs = [EvVar]
tvs, fd_eqs :: forall loc. FunDepEqn loc -> [TypeEqn]
fd_eqs = [TypeEqn]
eqs, fd_loc :: forall loc. FunDepEqn loc -> loc
fd_loc = CtLoc
loc })
     | [EvVar] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null [EvVar]
tvs  -- Common shortcut
     = do { String -> SDoc -> TcS ()
traceTcS "emitFunDepDeriveds 1" (SubGoalDepth -> SDoc
forall a. Outputable a => a -> SDoc
ppr (CtLoc -> SubGoalDepth
ctl_depth CtLoc
loc) SDoc -> SDoc -> SDoc
$$ [TypeEqn] -> SDoc
forall a. Outputable a => a -> SDoc
ppr [TypeEqn]
eqs SDoc -> SDoc -> SDoc
$$ Bool -> SDoc
forall a. Outputable a => a -> SDoc
ppr (CtLoc -> Bool
isGivenLoc CtLoc
loc))
          ; (TypeEqn -> TcS ()) -> [TypeEqn] -> TcS ()
forall (t :: * -> *) (m :: * -> *) a b.
(Foldable t, Monad m) =>
(a -> m b) -> t a -> m ()
mapM_ (CtLoc -> Role -> TypeEqn -> TcS ()
unifyDerived CtLoc
loc Role
Nominal) [TypeEqn]
eqs }
     | Bool
otherwise
     = do { String -> SDoc -> TcS ()
traceTcS "emitFunDepDeriveds 2" (SubGoalDepth -> SDoc
forall a. Outputable a => a -> SDoc
ppr (CtLoc -> SubGoalDepth
ctl_depth CtLoc
loc) SDoc -> SDoc -> SDoc
$$ [EvVar] -> SDoc
forall a. Outputable a => a -> SDoc
ppr [EvVar]
tvs SDoc -> SDoc -> SDoc
$$ [TypeEqn] -> SDoc
forall a. Outputable a => a -> SDoc
ppr [TypeEqn]
eqs)
          ; TCvSubst
subst <- [EvVar] -> TcS TCvSubst
instFlexi [EvVar]
tvs  -- Takes account of kind substitution
          ; (TypeEqn -> TcS ()) -> [TypeEqn] -> TcS ()
forall (t :: * -> *) (m :: * -> *) a b.
(Foldable t, Monad m) =>
(a -> m b) -> t a -> m ()
mapM_ (CtLoc -> TCvSubst -> TypeEqn -> TcS ()
do_one_eq CtLoc
loc TCvSubst
subst) [TypeEqn]
eqs }

    do_one_eq :: CtLoc -> TCvSubst -> TypeEqn -> TcS ()
do_one_eq loc :: CtLoc
loc subst :: TCvSubst
subst (Pair ty1 :: PredType
ty1 ty2 :: PredType
ty2)
       = CtLoc -> Role -> TypeEqn -> TcS ()
unifyDerived CtLoc
loc Role
Nominal (TypeEqn -> TcS ()) -> TypeEqn -> TcS ()
forall a b. (a -> b) -> a -> b
$
         PredType -> PredType -> TypeEqn
forall a. a -> a -> Pair a
Pair (TCvSubst -> PredType -> PredType
Type.substTyUnchecked TCvSubst
subst PredType
ty1) (TCvSubst -> PredType -> PredType
Type.substTyUnchecked TCvSubst
subst PredType
ty2)

{-
**********************************************************************
*                                                                    *
                       The top-reaction Stage
*                                                                    *
**********************************************************************
-}

topReactionsStage :: WorkItem -> TcS (StopOrContinue Ct)
-- The work item does not react with the inert set,
-- so try interaction with top-level instances. Note:
topReactionsStage :: SimplifierStage
topReactionsStage work_item :: Ct
work_item
  = do { String -> SDoc -> TcS ()
traceTcS "doTopReact" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
work_item)
       ; case Ct
work_item of
           CDictCan {}  -> do { InertSet
inerts <- TcS InertSet
getTcSInerts
                              ; InertSet -> SimplifierStage
doTopReactDict InertSet
inerts Ct
work_item }
           CFunEqCan {} -> SimplifierStage
doTopReactFunEq Ct
work_item
           CIrredCan {} -> SimplifierStage
doTopReactOther Ct
work_item
           CTyEqCan {}  -> SimplifierStage
doTopReactOther Ct
work_item
           _  -> -- Any other work item does not react with any top-level equations
                 SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
work_item  }


--------------------
doTopReactOther :: Ct -> TcS (StopOrContinue Ct)
-- Try local quantified constraints for
--     CTyEqCan  e.g.  (a ~# ty)
-- and CIrredCan e.g.  (c a)
--
-- Why equalities? See TcCanonical
-- Note [Equality superclasses in quantified constraints]
doTopReactOther :: SimplifierStage
doTopReactOther work_item :: Ct
work_item
  | CtEvidence -> Bool
isGiven CtEvidence
ev
  = SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
work_item

  | EqPred eq_rel :: EqRel
eq_rel t1 :: PredType
t1 t2 :: PredType
t2 <- PredType -> PredTree
classifyPredType PredType
pred
  = -- See Note [Looking up primitive equalities in quantified constraints]
    case EqRel -> PredType -> PredType -> Maybe (Class, [PredType])
boxEqPred EqRel
eq_rel PredType
t1 PredType
t2 of
      Nothing -> SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
work_item
      Just (cls :: Class
cls, tys :: [PredType]
tys)
        -> do { ClsInstResult
res <- PredType -> CtLoc -> TcS ClsInstResult
matchLocalInst (Class -> [PredType] -> PredType
mkClassPred Class
cls [PredType]
tys) CtLoc
loc
              ; case ClsInstResult
res of
                  OneInst { cir_mk_ev :: ClsInstResult -> [EvExpr] -> EvTerm
cir_mk_ev = [EvExpr] -> EvTerm
mk_ev }
                    -> Ct -> ClsInstResult -> TcS (StopOrContinue Ct)
chooseInstance Ct
work_item
                           (ClsInstResult
res { cir_mk_ev :: [EvExpr] -> EvTerm
cir_mk_ev = Class -> [PredType] -> ([EvExpr] -> EvTerm) -> [EvExpr] -> EvTerm
forall t. Class -> [PredType] -> (t -> EvTerm) -> t -> EvTerm
mk_eq_ev Class
cls [PredType]
tys [EvExpr] -> EvTerm
mk_ev })
                    where
                  _ -> SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
work_item }

  | Bool
otherwise
  = do { ClsInstResult
res <- PredType -> CtLoc -> TcS ClsInstResult
matchLocalInst PredType
pred CtLoc
loc
       ; case ClsInstResult
res of
           OneInst {} -> Ct -> ClsInstResult -> TcS (StopOrContinue Ct)
chooseInstance Ct
work_item ClsInstResult
res
           _          -> SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
work_item }
  where
    ev :: CtEvidence
ev = Ct -> CtEvidence
ctEvidence Ct
work_item
    loc :: CtLoc
loc  = CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev
    pred :: PredType
pred = CtEvidence -> PredType
ctEvPred CtEvidence
ev

    mk_eq_ev :: Class -> [PredType] -> (t -> EvTerm) -> t -> EvTerm
mk_eq_ev cls :: Class
cls tys :: [PredType]
tys mk_ev :: t -> EvTerm
mk_ev evs :: t
evs
      = case (t -> EvTerm
mk_ev t
evs) of
          EvExpr e :: EvExpr
e -> EvExpr -> EvTerm
EvExpr (EvVar -> EvExpr
forall b. EvVar -> Expr b
Var EvVar
sc_id EvExpr -> [PredType] -> EvExpr
forall b. Expr b -> [PredType] -> Expr b
`mkTyApps` [PredType]
tys EvExpr -> EvExpr -> EvExpr
forall b. Expr b -> Expr b -> Expr b
`App` EvExpr
e)
          ev :: EvTerm
ev       -> String -> SDoc -> EvTerm
forall a. HasCallStack => String -> SDoc -> a
pprPanic "mk_eq_ev" (EvTerm -> SDoc
forall a. Outputable a => a -> SDoc
ppr EvTerm
ev)
      where
        [sc_id :: EvVar
sc_id] = Class -> [EvVar]
classSCSelIds Class
cls

{- Note [Looking up primitive equalities in quantified constraints]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
For equalities (a ~# b) look up (a ~ b), and then do a superclass
selection. This avoids having to support quantified constraints whose
kind is not Constraint, such as (forall a. F a ~# b)

See
 * Note [Evidence for quantified constraints] in Type
 * Note [Equality superclasses in quantified constraints]
   in TcCanonical
-}

--------------------
doTopReactFunEq :: Ct -> TcS (StopOrContinue Ct)
doTopReactFunEq :: SimplifierStage
doTopReactFunEq work_item :: Ct
work_item@(CFunEqCan { cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
old_ev, cc_fun :: Ct -> TyCon
cc_fun = TyCon
fam_tc
                                     , cc_tyargs :: Ct -> [PredType]
cc_tyargs = [PredType]
args, cc_fsk :: Ct -> EvVar
cc_fsk = EvVar
fsk })

  | EvVar
fsk EvVar -> VarSet -> Bool
`elemVarSet` [PredType] -> VarSet
tyCoVarsOfTypes [PredType]
args
  = TcS (StopOrContinue Ct)
no_reduction    -- See Note [FunEq occurs-check principle]

  | Bool
otherwise  -- Note [Reduction for Derived CFunEqCans]
  = do { Maybe (TcCoercion, PredType)
match_res <- TyCon -> [PredType] -> TcS (Maybe (TcCoercion, PredType))
matchFam TyCon
fam_tc [PredType]
args
                           -- Look up in top-level instances, or built-in axiom
                           -- See Note [MATCHING-SYNONYMS]
       ; case Maybe (TcCoercion, PredType)
match_res of
           Nothing         -> TcS (StopOrContinue Ct)
no_reduction
           Just match_info :: (TcCoercion, PredType)
match_info -> CtEvidence
-> EvVar -> (TcCoercion, PredType) -> TcS (StopOrContinue Ct)
reduce_top_fun_eq CtEvidence
old_ev EvVar
fsk (TcCoercion, PredType)
match_info }
  where
    no_reduction :: TcS (StopOrContinue Ct)
no_reduction
      = do { CtEvidence -> TyCon -> [PredType] -> EvVar -> TcS ()
improveTopFunEqs CtEvidence
old_ev TyCon
fam_tc [PredType]
args EvVar
fsk
           ; SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
work_item }

doTopReactFunEq w :: Ct
w = String -> SDoc -> TcS (StopOrContinue Ct)
forall a. HasCallStack => String -> SDoc -> a
pprPanic "doTopReactFunEq" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
w)

reduce_top_fun_eq :: CtEvidence -> TcTyVar -> (TcCoercion, TcType)
                  -> TcS (StopOrContinue Ct)
-- We have found an applicable top-level axiom: use it to reduce
-- Precondition: fsk is not free in rhs_ty
reduce_top_fun_eq :: CtEvidence
-> EvVar -> (TcCoercion, PredType) -> TcS (StopOrContinue Ct)
reduce_top_fun_eq old_ev :: CtEvidence
old_ev fsk :: EvVar
fsk (ax_co :: TcCoercion
ax_co, rhs_ty :: PredType
rhs_ty)
  | Bool -> Bool
not (CtEvidence -> Bool
isDerived CtEvidence
old_ev)  -- Precondition of shortCutReduction
  , Just (tc :: TyCon
tc, tc_args :: [PredType]
tc_args) <- HasCallStack => PredType -> Maybe (TyCon, [PredType])
PredType -> Maybe (TyCon, [PredType])
tcSplitTyConApp_maybe PredType
rhs_ty
  , TyCon -> Bool
isTypeFamilyTyCon TyCon
tc
  , [PredType]
tc_args [PredType] -> Int -> Bool
forall a. [a] -> Int -> Bool
`lengthIs` TyCon -> Int
tyConArity TyCon
tc    -- Short-cut
  = -- RHS is another type-family application
    -- Try shortcut; see Note [Top-level reductions for type functions]
    do { CtEvidence -> EvVar -> TcCoercion -> TyCon -> [PredType] -> TcS ()
shortCutReduction CtEvidence
old_ev EvVar
fsk TcCoercion
ax_co TyCon
tc [PredType]
tc_args
       ; CtEvidence -> String -> TcS (StopOrContinue Ct)
forall a. CtEvidence -> String -> TcS (StopOrContinue a)
stopWith CtEvidence
old_ev "Fun/Top (shortcut)" }

  | Bool
otherwise
  = ASSERT2( not (fsk `elemVarSet` tyCoVarsOfType rhs_ty)
           , ppr old_ev $$ ppr rhs_ty )
           -- Guaranteed by Note [FunEq occurs-check principle]
    do { CtEvidence -> EvVar -> TcCoercion -> PredType -> TcS ()
dischargeFunEq CtEvidence
old_ev EvVar
fsk TcCoercion
ax_co PredType
rhs_ty
       ; String -> SDoc -> TcS ()
traceTcS "doTopReactFunEq" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$
         [SDoc] -> SDoc
vcat [ String -> SDoc
text "old_ev:" SDoc -> SDoc -> SDoc
<+> CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
old_ev
              , Int -> SDoc -> SDoc
nest 2 (String -> SDoc
text ":=") SDoc -> SDoc -> SDoc
<+> TcCoercion -> SDoc
forall a. Outputable a => a -> SDoc
ppr TcCoercion
ax_co ]
       ; CtEvidence -> String -> TcS (StopOrContinue Ct)
forall a. CtEvidence -> String -> TcS (StopOrContinue a)
stopWith CtEvidence
old_ev "Fun/Top" }

improveTopFunEqs :: CtEvidence -> TyCon -> [TcType] -> TcTyVar -> TcS ()
-- See Note [FunDep and implicit parameter reactions]
improveTopFunEqs :: CtEvidence -> TyCon -> [PredType] -> EvVar -> TcS ()
improveTopFunEqs ev :: CtEvidence
ev fam_tc :: TyCon
fam_tc args :: [PredType]
args fsk :: EvVar
fsk
  | CtEvidence -> Bool
isGiven CtEvidence
ev            -- See Note [No FunEq improvement for Givens]
    Bool -> Bool -> Bool
|| Bool -> Bool
not (CtEvidence -> Bool
isImprovable CtEvidence
ev)
  = () -> TcS ()
forall (m :: * -> *) a. Monad m => a -> m a
return ()

  | Bool
otherwise
  = do { InertEqs
ieqs <- TcS InertEqs
getInertEqs
       ; (FamInstEnv, FamInstEnv)
fam_envs <- TcS (FamInstEnv, FamInstEnv)
getFamInstEnvs
       ; [TypeEqn]
eqns <- (FamInstEnv, FamInstEnv)
-> TyCon -> [PredType] -> PredType -> TcS [TypeEqn]
improve_top_fun_eqs (FamInstEnv, FamInstEnv)
fam_envs TyCon
fam_tc [PredType]
args
                                    (InertEqs -> EvVar -> PredType
lookupFlattenTyVar InertEqs
ieqs EvVar
fsk)
       ; String -> SDoc -> TcS ()
traceTcS "improveTopFunEqs" ([SDoc] -> SDoc
vcat [ TyCon -> SDoc
forall a. Outputable a => a -> SDoc
ppr TyCon
fam_tc SDoc -> SDoc -> SDoc
<+> [PredType] -> SDoc
forall a. Outputable a => a -> SDoc
ppr [PredType]
args SDoc -> SDoc -> SDoc
<+> EvVar -> SDoc
forall a. Outputable a => a -> SDoc
ppr EvVar
fsk
                                          , [TypeEqn] -> SDoc
forall a. Outputable a => a -> SDoc
ppr [TypeEqn]
eqns ])
       ; (TypeEqn -> TcS ()) -> [TypeEqn] -> TcS ()
forall (t :: * -> *) (m :: * -> *) a b.
(Foldable t, Monad m) =>
(a -> m b) -> t a -> m ()
mapM_ (CtLoc -> Role -> TypeEqn -> TcS ()
unifyDerived CtLoc
loc Role
Nominal) [TypeEqn]
eqns }
  where
    loc :: CtLoc
loc = CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev  -- ToDo: this location is wrong; it should be FunDepOrigin2
                      -- See Trac #14778

improve_top_fun_eqs :: FamInstEnvs
                    -> TyCon -> [TcType] -> TcType
                    -> TcS [TypeEqn]
improve_top_fun_eqs :: (FamInstEnv, FamInstEnv)
-> TyCon -> [PredType] -> PredType -> TcS [TypeEqn]
improve_top_fun_eqs fam_envs :: (FamInstEnv, FamInstEnv)
fam_envs fam_tc :: TyCon
fam_tc args :: [PredType]
args rhs_ty :: PredType
rhs_ty
  | Just ops :: BuiltInSynFamily
ops <- TyCon -> Maybe BuiltInSynFamily
isBuiltInSynFamTyCon_maybe TyCon
fam_tc
  = [TypeEqn] -> TcS [TypeEqn]
forall (m :: * -> *) a. Monad m => a -> m a
return (BuiltInSynFamily -> [PredType] -> PredType -> [TypeEqn]
sfInteractTop BuiltInSynFamily
ops [PredType]
args PredType
rhs_ty)

  -- see Note [Type inference for type families with injectivity]
  | TyCon -> Bool
isOpenTypeFamilyTyCon TyCon
fam_tc
  , Injective injective_args :: [Bool]
injective_args <- TyCon -> Injectivity
tyConInjectivityInfo TyCon
fam_tc
  , let fam_insts :: [FamInst]
fam_insts = (FamInstEnv, FamInstEnv) -> TyCon -> [FamInst]
lookupFamInstEnvByTyCon (FamInstEnv, FamInstEnv)
fam_envs TyCon
fam_tc
  = -- it is possible to have several compatible equations in an open type
    -- family but we only want to derive equalities from one such equation.
    do { let improvs :: [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
improvs = [FamInst]
-> (FamInst -> [EvVar])
-> (FamInst -> [PredType])
-> (FamInst -> PredType)
-> (FamInst -> Maybe CoAxBranch)
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
forall a.
[a]
-> (a -> [EvVar])
-> (a -> [PredType])
-> (a -> PredType)
-> (a -> Maybe CoAxBranch)
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
buildImprovementData [FamInst]
fam_insts
                           FamInst -> [EvVar]
fi_tvs FamInst -> [PredType]
fi_tys FamInst -> PredType
fi_rhs (Maybe CoAxBranch -> FamInst -> Maybe CoAxBranch
forall a b. a -> b -> a
const Maybe CoAxBranch
forall a. Maybe a
Nothing)

       ; String -> SDoc -> TcS ()
traceTcS "improve_top_fun_eqs2" ([([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)] -> SDoc
forall a. Outputable a => a -> SDoc
ppr [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
improvs)
       ; (([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)
 -> TcS [TypeEqn])
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
-> TcS [TypeEqn]
forall (m :: * -> *) a b. Monad m => (a -> m [b]) -> [a] -> m [b]
concatMapM ([Bool]
-> ([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)
-> TcS [TypeEqn]
injImproveEqns [Bool]
injective_args) ([([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
 -> TcS [TypeEqn])
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
-> TcS [TypeEqn]
forall a b. (a -> b) -> a -> b
$
         Int
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
forall a. Int -> [a] -> [a]
take 1 [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
improvs }

  | Just ax :: CoAxiom Branched
ax <- TyCon -> Maybe (CoAxiom Branched)
isClosedSynFamilyTyConWithAxiom_maybe TyCon
fam_tc
  , Injective injective_args :: [Bool]
injective_args <- TyCon -> Injectivity
tyConInjectivityInfo TyCon
fam_tc
  = (([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)
 -> TcS [TypeEqn])
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
-> TcS [TypeEqn]
forall (m :: * -> *) a b. Monad m => (a -> m [b]) -> [a] -> m [b]
concatMapM ([Bool]
-> ([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)
-> TcS [TypeEqn]
injImproveEqns [Bool]
injective_args) ([([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
 -> TcS [TypeEqn])
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
-> TcS [TypeEqn]
forall a b. (a -> b) -> a -> b
$
    [CoAxBranch]
-> (CoAxBranch -> [EvVar])
-> (CoAxBranch -> [PredType])
-> (CoAxBranch -> PredType)
-> (CoAxBranch -> Maybe CoAxBranch)
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
forall a.
[a]
-> (a -> [EvVar])
-> (a -> [PredType])
-> (a -> PredType)
-> (a -> Maybe CoAxBranch)
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
buildImprovementData (Branches Branched -> [CoAxBranch]
forall (br :: BranchFlag). Branches br -> [CoAxBranch]
fromBranches (CoAxiom Branched -> Branches Branched
forall (br :: BranchFlag). CoAxiom br -> Branches br
co_ax_branches CoAxiom Branched
ax))
                         CoAxBranch -> [EvVar]
cab_tvs CoAxBranch -> [PredType]
cab_lhs CoAxBranch -> PredType
cab_rhs CoAxBranch -> Maybe CoAxBranch
forall a. a -> Maybe a
Just

  | Bool
otherwise
  = [TypeEqn] -> TcS [TypeEqn]
forall (m :: * -> *) a. Monad m => a -> m a
return []

  where
      buildImprovementData
          :: [a]                     -- axioms for a TF (FamInst or CoAxBranch)
          -> (a -> [TyVar])          -- get bound tyvars of an axiom
          -> (a -> [Type])           -- get LHS of an axiom
          -> (a -> Type)             -- get RHS of an axiom
          -> (a -> Maybe CoAxBranch) -- Just => apartness check required
          -> [( [Type], TCvSubst, [TyVar], Maybe CoAxBranch )]
             -- Result:
             -- ( [arguments of a matching axiom]
             -- , RHS-unifying substitution
             -- , axiom variables without substitution
             -- , Maybe matching axiom [Nothing - open TF, Just - closed TF ] )
      buildImprovementData :: [a]
-> (a -> [EvVar])
-> (a -> [PredType])
-> (a -> PredType)
-> (a -> Maybe CoAxBranch)
-> [([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)]
buildImprovementData axioms :: [a]
axioms axiomTVs :: a -> [EvVar]
axiomTVs axiomLHS :: a -> [PredType]
axiomLHS axiomRHS :: a -> PredType
axiomRHS wrap :: a -> Maybe CoAxBranch
wrap =
          [ ([PredType]
ax_args, TCvSubst
subst, [EvVar]
unsubstTvs, a -> Maybe CoAxBranch
wrap a
axiom)
          | a
axiom <- [a]
axioms
          , let ax_args :: [PredType]
ax_args = a -> [PredType]
axiomLHS a
axiom
                ax_rhs :: PredType
ax_rhs  = a -> PredType
axiomRHS a
axiom
                ax_tvs :: [EvVar]
ax_tvs  = a -> [EvVar]
axiomTVs a
axiom
          , Just subst :: TCvSubst
subst <- [Bool -> PredType -> PredType -> Maybe TCvSubst
tcUnifyTyWithTFs Bool
False PredType
ax_rhs PredType
rhs_ty]
          , let notInSubst :: EvVar -> Bool
notInSubst tv :: EvVar
tv = Bool -> Bool
not (EvVar
tv EvVar -> VarEnv PredType -> Bool
forall a. EvVar -> VarEnv a -> Bool
`elemVarEnv` TCvSubst -> VarEnv PredType
getTvSubstEnv TCvSubst
subst)
                unsubstTvs :: [EvVar]
unsubstTvs    = (EvVar -> Bool) -> [EvVar] -> [EvVar]
forall a. (a -> Bool) -> [a] -> [a]
filter (EvVar -> Bool
notInSubst (EvVar -> Bool) -> (EvVar -> Bool) -> EvVar -> Bool
forall (f :: * -> *). Applicative f => f Bool -> f Bool -> f Bool
<&&> EvVar -> Bool
isTyVar) [EvVar]
ax_tvs ]
                   -- The order of unsubstTvs is important; it must be
                   -- in telescope order e.g. (k:*) (a:k)

      injImproveEqns :: [Bool]
                     -> ([Type], TCvSubst, [TyCoVar], Maybe CoAxBranch)
                     -> TcS [TypeEqn]
      injImproveEqns :: [Bool]
-> ([PredType], TCvSubst, [EvVar], Maybe CoAxBranch)
-> TcS [TypeEqn]
injImproveEqns inj_args :: [Bool]
inj_args (ax_args :: [PredType]
ax_args, subst :: TCvSubst
subst, unsubstTvs :: [EvVar]
unsubstTvs, cabr :: Maybe CoAxBranch
cabr)
        = do { TCvSubst
subst <- TCvSubst -> [EvVar] -> TcS TCvSubst
instFlexiX TCvSubst
subst [EvVar]
unsubstTvs
                  -- If the current substitution bind [k -> *], and
                  -- one of the un-substituted tyvars is (a::k), we'd better
                  -- be sure to apply the current substitution to a's kind.
                  -- Hence instFlexiX.   Trac #13135 was an example.

             ; [TypeEqn] -> TcS [TypeEqn]
forall (m :: * -> *) a. Monad m => a -> m a
return [ PredType -> PredType -> TypeEqn
forall a. a -> a -> Pair a
Pair (TCvSubst -> PredType -> PredType
substTyUnchecked TCvSubst
subst PredType
ax_arg) PredType
arg
                        -- NB: the ax_arg part is on the left
                        -- see Note [Improvement orientation]
                      | case Maybe CoAxBranch
cabr of
                          Just cabr' :: CoAxBranch
cabr' -> [PredType] -> CoAxBranch -> Bool
apartnessCheck (HasCallStack => TCvSubst -> [PredType] -> [PredType]
TCvSubst -> [PredType] -> [PredType]
substTys TCvSubst
subst [PredType]
ax_args) CoAxBranch
cabr'
                          _          -> Bool
True
                      , (ax_arg :: PredType
ax_arg, arg :: PredType
arg, True) <- [PredType] -> [PredType] -> [Bool] -> [(PredType, PredType, Bool)]
forall a b c. [a] -> [b] -> [c] -> [(a, b, c)]
zip3 [PredType]
ax_args [PredType]
args [Bool]
inj_args ] }


shortCutReduction :: CtEvidence -> TcTyVar -> TcCoercion
                  -> TyCon -> [TcType] -> TcS ()
-- See Note [Top-level reductions for type functions]
-- Previously, we flattened the tc_args here, but there's no need to do so.
-- And, if we did, this function would have all the complication of
-- TcCanonical.canCFunEqCan. See Note [canCFunEqCan]
shortCutReduction :: CtEvidence -> EvVar -> TcCoercion -> TyCon -> [PredType] -> TcS ()
shortCutReduction old_ev :: CtEvidence
old_ev fsk :: EvVar
fsk ax_co :: TcCoercion
ax_co fam_tc :: TyCon
fam_tc tc_args :: [PredType]
tc_args
  = ASSERT( ctEvEqRel old_ev == NomEq)
               -- ax_co :: F args ~ G tc_args
               -- old_ev :: F args ~ fsk
    do { CtEvidence
new_ev <- case CtEvidence -> CtFlavour
ctEvFlavour CtEvidence
old_ev of
           Given -> CtLoc -> (PredType, EvTerm) -> TcS CtEvidence
newGivenEvVar CtLoc
deeper_loc
                         ( PredType -> PredType -> PredType
mkPrimEqPred (TyCon -> [PredType] -> PredType
mkTyConApp TyCon
fam_tc [PredType]
tc_args) (EvVar -> PredType
mkTyVarTy EvVar
fsk)
                         , TcCoercion -> EvTerm
evCoercion (TcCoercion -> TcCoercion
mkTcSymCo TcCoercion
ax_co
                                       TcCoercion -> TcCoercion -> TcCoercion
`mkTcTransCo` HasDebugCallStack => CtEvidence -> TcCoercion
CtEvidence -> TcCoercion
ctEvCoercion CtEvidence
old_ev) )

           Wanted {} ->
             do { (new_ev :: CtEvidence
new_ev, new_co :: TcCoercion
new_co) <- CtLoc
-> Role -> PredType -> PredType -> TcS (CtEvidence, TcCoercion)
newWantedEq CtLoc
deeper_loc Role
Nominal
                                        (TyCon -> [PredType] -> PredType
mkTyConApp TyCon
fam_tc [PredType]
tc_args) (EvVar -> PredType
mkTyVarTy EvVar
fsk)
                ; TcEvDest -> TcCoercion -> TcS ()
setWantedEq (CtEvidence -> TcEvDest
ctev_dest CtEvidence
old_ev) (TcCoercion -> TcS ()) -> TcCoercion -> TcS ()
forall a b. (a -> b) -> a -> b
$ TcCoercion
ax_co TcCoercion -> TcCoercion -> TcCoercion
`mkTcTransCo` TcCoercion
new_co
                ; CtEvidence -> TcS CtEvidence
forall (m :: * -> *) a. Monad m => a -> m a
return CtEvidence
new_ev }

           Derived -> String -> SDoc -> TcS CtEvidence
forall a. HasCallStack => String -> SDoc -> a
pprPanic "shortCutReduction" (CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
old_ev)

       ; let new_ct :: Ct
new_ct = CFunEqCan :: CtEvidence -> TyCon -> [PredType] -> EvVar -> Ct
CFunEqCan { cc_ev :: CtEvidence
cc_ev = CtEvidence
new_ev, cc_fun :: TyCon
cc_fun = TyCon
fam_tc
                                , cc_tyargs :: [PredType]
cc_tyargs = [PredType]
tc_args, cc_fsk :: EvVar
cc_fsk = EvVar
fsk }
       ; (WorkList -> WorkList) -> TcS ()
updWorkListTcS (Ct -> WorkList -> WorkList
extendWorkListFunEq Ct
new_ct) }
  where
    deeper_loc :: CtLoc
deeper_loc = CtLoc -> CtLoc
bumpCtLocDepth (CtEvidence -> CtLoc
ctEvLoc CtEvidence
old_ev)

{- Note [Top-level reductions for type functions]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
c.f. Note [The flattening story] in TcFlatten

Suppose we have a CFunEqCan  F tys ~ fmv/fsk, and a matching axiom.
Here is what we do, in four cases:

* Wanteds: general firing rule
    (work item) [W]        x : F tys ~ fmv
    instantiate axiom: ax_co : F tys ~ rhs

   Then:
      Discharge   fmv := rhs
      Discharge   x := ax_co ; sym x2
   This is *the* way that fmv's get unified; even though they are
   "untouchable".

   NB: Given Note [FunEq occurs-check principle], fmv does not appear
   in tys, and hence does not appear in the instantiated RHS.  So
   the unification can't make an infinite type.

* Wanteds: short cut firing rule
  Applies when the RHS of the axiom is another type-function application
      (work item)        [W] x : F tys ~ fmv
      instantiate axiom: ax_co : F tys ~ G rhs_tys

  It would be a waste to create yet another fmv for (G rhs_tys).
  Instead (shortCutReduction):
      - Flatten rhs_tys (cos : rhs_tys ~ rhs_xis)
      - Add G rhs_xis ~ fmv to flat cache  (note: the same old fmv)
      - New canonical wanted   [W] x2 : G rhs_xis ~ fmv  (CFunEqCan)
      - Discharge x := ax_co ; G cos ; x2

* Givens: general firing rule
      (work item)        [G] g : F tys ~ fsk
      instantiate axiom: ax_co : F tys ~ rhs

   Now add non-canonical given (since rhs is not flat)
      [G] (sym g ; ax_co) : fsk ~ rhs  (Non-canonical)

* Givens: short cut firing rule
  Applies when the RHS of the axiom is another type-function application
      (work item)        [G] g : F tys ~ fsk
      instantiate axiom: ax_co : F tys ~ G rhs_tys

  It would be a waste to create yet another fsk for (G rhs_tys).
  Instead (shortCutReduction):
     - Flatten rhs_tys: flat_cos : tys ~ flat_tys
     - Add new Canonical given
          [G] (sym (G flat_cos) ; co ; g) : G flat_tys ~ fsk   (CFunEqCan)

Note [FunEq occurs-check principle]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
I have spent a lot of time finding a good way to deal with
CFunEqCan constraints like
    F (fuv, a) ~ fuv
where flatten-skolem occurs on the LHS.  Now in principle we
might may progress by doing a reduction, but in practice its
hard to find examples where it is useful, and easy to find examples
where we fall into an infinite reduction loop.  A rule that works
very well is this:

  *** FunEq occurs-check principle ***

      Do not reduce a CFunEqCan
          F tys ~ fsk
      if fsk appears free in tys
      Instead we treat it as stuck.

Examples:

* Trac #5837 has [G] a ~ TF (a,Int), with an instance
    type instance TF (a,b) = (TF a, TF b)
  This readily loops when solving givens.  But with the FunEq occurs
  check principle, it rapidly gets stuck which is fine.

* Trac #12444 is a good example, explained in comment:2.  We have
    type instance F (Succ x) = Succ (F x)
    [W] alpha ~ Succ (F alpha)
  If we allow the reduction to happen, we get an infinite loop

Note [Cached solved FunEqs]
~~~~~~~~~~~~~~~~~~~~~~~~~~~
When trying to solve, say (FunExpensive big-type ~ ty), it's important
to see if we have reduced (FunExpensive big-type) before, lest we
simply repeat it.  Hence the lookup in inert_solved_funeqs.  Moreover
we must use `funEqCanDischarge` because both uses might (say) be Wanteds,
and we *still* want to save the re-computation.

Note [MATCHING-SYNONYMS]
~~~~~~~~~~~~~~~~~~~~~~~~
When trying to match a dictionary (D tau) to a top-level instance, or a
type family equation (F taus_1 ~ tau_2) to a top-level family instance,
we do *not* need to expand type synonyms because the matcher will do that for us.

Note [Improvement orientation]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
A very delicate point is the orientation of derived equalities
arising from injectivity improvement (Trac #12522).  Suppse we have
  type family F x = t | t -> x
  type instance F (a, Int) = (Int, G a)
where G is injective; and wanted constraints

  [W] TF (alpha, beta) ~ fuv
  [W] fuv ~ (Int, <some type>)

The injectivity will give rise to derived constraints

  [D] gamma1 ~ alpha
  [D] Int ~ beta

The fresh unification variable gamma1 comes from the fact that we
can only do "partial improvement" here; see Section 5.2 of
"Injective type families for Haskell" (HS'15).

Now, it's very important to orient the equations this way round,
so that the fresh unification variable will be eliminated in
favour of alpha.  If we instead had
   [D] alpha ~ gamma1
then we would unify alpha := gamma1; and kick out the wanted
constraint.  But when we grough it back in, it'd look like
   [W] TF (gamma1, beta) ~ fuv
and exactly the same thing would happen again!  Infinite loop.

This all seems fragile, and it might seem more robust to avoid
introducing gamma1 in the first place, in the case where the
actual argument (alpha, beta) partly matches the improvement
template.  But that's a bit tricky, esp when we remember that the
kinds much match too; so it's easier to let the normal machinery
handle it.  Instead we are careful to orient the new derived
equality with the template on the left.  Delicate, but it works.

Note [No FunEq improvement for Givens]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We don't do improvements (injectivity etc) for Givens. Why?

* It generates Derived constraints on skolems, which don't do us
  much good, except perhaps identify inaccessible branches.
  (They'd be perfectly valid though.)

* For type-nat stuff the derived constraints include type families;
  e.g.  (a < b), (b < c) ==> a < c If we generate a Derived for this,
  we'll generate a Derived/Wanted CFunEqCan; and, since the same
  InertCans (after solving Givens) are used for each iteration, that
  massively confused the unflattening step (TcFlatten.unflatten).

  In fact it led to some infinite loops:
     indexed-types/should_compile/T10806
     indexed-types/should_compile/T10507
     polykinds/T10742

Note [Reduction for Derived CFunEqCans]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
You may wonder if it's important to use top-level instances to
simplify [D] CFunEqCan's.  But it is.  Here's an example (T10226).

   type instance F    Int = Int
   type instance FInv Int = Int

Suppose we have to solve
    [WD] FInv (F alpha) ~ alpha
    [WD] F alpha ~ Int

  --> flatten
    [WD] F alpha ~ fuv0
    [WD] FInv fuv0 ~ fuv1  -- (A)
    [WD] fuv1 ~ alpha
    [WD] fuv0 ~ Int        -- (B)

  --> Rewwrite (A) with (B), splitting it
    [WD] F alpha ~ fuv0
    [W] FInv fuv0 ~ fuv1
    [D] FInv Int ~ fuv1    -- (C)
    [WD] fuv1 ~ alpha
    [WD] fuv0 ~ Int

  --> Reduce (C) with top-level instance
      **** This is the key step ***
    [WD] F alpha ~ fuv0
    [W] FInv fuv0 ~ fuv1
    [D] fuv1 ~ Int        -- (D)
    [WD] fuv1 ~ alpha     -- (E)
    [WD] fuv0 ~ Int

  --> Rewrite (D) with (E)
    [WD] F alpha ~ fuv0
    [W] FInv fuv0 ~ fuv1
    [D] alpha ~ Int       -- (F)
    [WD] fuv1 ~ alpha
    [WD] fuv0 ~ Int

  --> unify (F)  alpha := Int, and that solves it

Another example is indexed-types/should_compile/T10634
-}

{- *******************************************************************
*                                                                    *
         Top-level reaction for class constraints (CDictCan)
*                                                                    *
**********************************************************************-}

doTopReactDict :: InertSet -> Ct -> TcS (StopOrContinue Ct)
-- Try to use type-class instance declarations to simplify the constraint
doTopReactDict :: InertSet -> SimplifierStage
doTopReactDict inerts :: InertSet
inerts work_item :: Ct
work_item@(CDictCan { cc_ev :: Ct -> CtEvidence
cc_ev = CtEvidence
ev, cc_class :: Ct -> Class
cc_class = Class
cls
                                          , cc_tyargs :: Ct -> [PredType]
cc_tyargs = [PredType]
xis })
  | CtEvidence -> Bool
isGiven CtEvidence
ev   -- Never use instances for Given constraints
  = do { TcS ()
try_fundep_improvement
       ; SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
work_item }

  | Just solved_ev :: CtEvidence
solved_ev <- InertSet -> CtLoc -> Class -> [PredType] -> Maybe CtEvidence
lookupSolvedDict InertSet
inerts CtLoc
dict_loc Class
cls [PredType]
xis   -- Cached
  = do { CtEvidence -> EvTerm -> TcS ()
setEvBindIfWanted CtEvidence
ev (CtEvidence -> EvTerm
ctEvTerm CtEvidence
solved_ev)
       ; CtEvidence -> String -> TcS (StopOrContinue Ct)
forall a. CtEvidence -> String -> TcS (StopOrContinue a)
stopWith CtEvidence
ev "Dict/Top (cached)" }

  | Bool
otherwise  -- Wanted or Derived, but not cached
   = do { DynFlags
dflags <- TcS DynFlags
forall (m :: * -> *). HasDynFlags m => m DynFlags
getDynFlags
        ; ClsInstResult
lkup_res <- DynFlags
-> InertSet -> Class -> [PredType] -> CtLoc -> TcS ClsInstResult
matchClassInst DynFlags
dflags InertSet
inerts Class
cls [PredType]
xis CtLoc
dict_loc
        ; case ClsInstResult
lkup_res of
               OneInst { cir_what :: ClsInstResult -> InstanceWhat
cir_what = InstanceWhat
what }
                  -> do { Bool -> TcS () -> TcS ()
forall (f :: * -> *). Applicative f => Bool -> f () -> f ()
unless (InstanceWhat -> Bool
safeOverlap InstanceWhat
what) (TcS () -> TcS ()) -> TcS () -> TcS ()
forall a b. (a -> b) -> a -> b
$
                          Ct -> TcS ()
insertSafeOverlapFailureTcS Ct
work_item
                        ; Bool -> TcS () -> TcS ()
forall (f :: * -> *). Applicative f => Bool -> f () -> f ()
when (CtEvidence -> Bool
isWanted CtEvidence
ev) (TcS () -> TcS ()) -> TcS () -> TcS ()
forall a b. (a -> b) -> a -> b
$ CtEvidence -> Class -> [PredType] -> TcS ()
addSolvedDict CtEvidence
ev Class
cls [PredType]
xis
                        ; Ct -> ClsInstResult -> TcS (StopOrContinue Ct)
chooseInstance Ct
work_item ClsInstResult
lkup_res }
               _  ->  -- NoInstance or NotSure
                     do { Bool -> TcS () -> TcS ()
forall (f :: * -> *). Applicative f => Bool -> f () -> f ()
when (CtEvidence -> Bool
isImprovable CtEvidence
ev) (TcS () -> TcS ()) -> TcS () -> TcS ()
forall a b. (a -> b) -> a -> b
$
                          TcS ()
try_fundep_improvement
                        ; SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
work_item } }
   where
     dict_pred :: PredType
dict_pred   = Class -> [PredType] -> PredType
mkClassPred Class
cls [PredType]
xis
     dict_loc :: CtLoc
dict_loc    = CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev
     dict_origin :: CtOrigin
dict_origin = CtLoc -> CtOrigin
ctLocOrigin CtLoc
dict_loc

     -- We didn't solve it; so try functional dependencies with
     -- the instance environment, and return
     -- See also Note [Weird fundeps]
     try_fundep_improvement :: TcS ()
try_fundep_improvement
        = do { String -> SDoc -> TcS ()
traceTcS "try_fundeps" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
work_item)
             ; InstEnvs
instEnvs <- TcS InstEnvs
getInstEnvs
             ; [FunDepEqn CtLoc] -> TcS ()
emitFunDepDeriveds ([FunDepEqn CtLoc] -> TcS ()) -> [FunDepEqn CtLoc] -> TcS ()
forall a b. (a -> b) -> a -> b
$
               InstEnvs
-> (PredType -> SrcSpan -> CtLoc) -> PredType -> [FunDepEqn CtLoc]
forall loc.
InstEnvs
-> (PredType -> SrcSpan -> loc) -> PredType -> [FunDepEqn loc]
improveFromInstEnv InstEnvs
instEnvs PredType -> SrcSpan -> CtLoc
mk_ct_loc PredType
dict_pred }

     mk_ct_loc :: PredType   -- From instance decl
               -> SrcSpan    -- also from instance deol
               -> CtLoc
     mk_ct_loc :: PredType -> SrcSpan -> CtLoc
mk_ct_loc inst_pred :: PredType
inst_pred inst_loc :: SrcSpan
inst_loc
       = CtLoc
dict_loc { ctl_origin :: CtOrigin
ctl_origin = PredType -> CtOrigin -> PredType -> SrcSpan -> CtOrigin
FunDepOrigin2 PredType
dict_pred CtOrigin
dict_origin
                                               PredType
inst_pred SrcSpan
inst_loc }

doTopReactDict _ w :: Ct
w = String -> SDoc -> TcS (StopOrContinue Ct)
forall a. HasCallStack => String -> SDoc -> a
pprPanic "doTopReactDict" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
w)


chooseInstance :: Ct -> ClsInstResult -> TcS (StopOrContinue Ct)
chooseInstance :: Ct -> ClsInstResult -> TcS (StopOrContinue Ct)
chooseInstance work_item :: Ct
work_item
               (OneInst { cir_new_theta :: ClsInstResult -> [PredType]
cir_new_theta = [PredType]
theta
                        , cir_what :: ClsInstResult -> InstanceWhat
cir_what      = InstanceWhat
what
                        , cir_mk_ev :: ClsInstResult -> [EvExpr] -> EvTerm
cir_mk_ev     = [EvExpr] -> EvTerm
mk_ev })
  = do { String -> SDoc -> TcS ()
traceTcS "doTopReact/found instance for" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$ CtEvidence -> SDoc
forall a. Outputable a => a -> SDoc
ppr CtEvidence
ev
       ; CtLoc
deeper_loc <- CtLoc -> InstanceWhat -> PredType -> TcS CtLoc
checkInstanceOK CtLoc
loc InstanceWhat
what PredType
pred
       ; if CtEvidence -> Bool
isDerived CtEvidence
ev then CtLoc -> [PredType] -> TcS (StopOrContinue Ct)
forall a. CtLoc -> [PredType] -> TcS (StopOrContinue a)
finish_derived CtLoc
deeper_loc [PredType]
theta
                         else CtLoc
-> [PredType] -> ([EvExpr] -> EvTerm) -> TcS (StopOrContinue Ct)
finish_wanted  CtLoc
deeper_loc [PredType]
theta [EvExpr] -> EvTerm
mk_ev }
  where
     ev :: CtEvidence
ev         = Ct -> CtEvidence
ctEvidence Ct
work_item
     pred :: PredType
pred       = CtEvidence -> PredType
ctEvPred CtEvidence
ev
     loc :: CtLoc
loc        = CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev

     finish_wanted :: CtLoc -> [TcPredType]
                   -> ([EvExpr] -> EvTerm) -> TcS (StopOrContinue Ct)
      -- Precondition: evidence term matches the predicate workItem
     finish_wanted :: CtLoc
-> [PredType] -> ([EvExpr] -> EvTerm) -> TcS (StopOrContinue Ct)
finish_wanted loc :: CtLoc
loc theta :: [PredType]
theta mk_ev :: [EvExpr] -> EvTerm
mk_ev
        = do { EvBindsVar
evb <- TcS EvBindsVar
getTcEvBindsVar
             ; if EvBindsVar -> Bool
isCoEvBindsVar EvBindsVar
evb
               then -- See Note [Instances in no-evidence implications]
                    SimplifierStage
forall a. a -> TcS (StopOrContinue a)
continueWith Ct
work_item
               else
          do { [MaybeNew]
evc_vars <- (PredType -> TcS MaybeNew) -> [PredType] -> TcS [MaybeNew]
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
(a -> m b) -> t a -> m (t b)
mapM (CtLoc -> PredType -> TcS MaybeNew
newWanted CtLoc
loc) [PredType]
theta
             ; CtEvidence -> EvTerm -> TcS ()
setEvBindIfWanted CtEvidence
ev ([EvExpr] -> EvTerm
mk_ev ((MaybeNew -> EvExpr) -> [MaybeNew] -> [EvExpr]
forall a b. (a -> b) -> [a] -> [b]
map MaybeNew -> EvExpr
getEvExpr [MaybeNew]
evc_vars))
             ; [CtEvidence] -> TcS ()
emitWorkNC ([MaybeNew] -> [CtEvidence]
freshGoals [MaybeNew]
evc_vars)
             ; CtEvidence -> String -> TcS (StopOrContinue Ct)
forall a. CtEvidence -> String -> TcS (StopOrContinue a)
stopWith CtEvidence
ev "Dict/Top (solved wanted)" } }

     finish_derived :: CtLoc -> [PredType] -> TcS (StopOrContinue a)
finish_derived loc :: CtLoc
loc theta :: [PredType]
theta
       = -- Use type-class instances for Deriveds, in the hope
         -- of generating some improvements
         -- C.f. Example 3 of Note [The improvement story]
         -- It's easy because no evidence is involved
         do { CtLoc -> [PredType] -> TcS ()
emitNewDeriveds CtLoc
loc [PredType]
theta
            ; String -> SDoc -> TcS ()
traceTcS "finish_derived" (SubGoalDepth -> SDoc
forall a. Outputable a => a -> SDoc
ppr (CtLoc -> SubGoalDepth
ctl_depth CtLoc
loc))
            ; CtEvidence -> String -> TcS (StopOrContinue a)
forall a. CtEvidence -> String -> TcS (StopOrContinue a)
stopWith CtEvidence
ev "Dict/Top (solved derived)" }

chooseInstance work_item :: Ct
work_item lookup_res :: ClsInstResult
lookup_res
  = String -> SDoc -> TcS (StopOrContinue Ct)
forall a. HasCallStack => String -> SDoc -> a
pprPanic "chooseInstance" (Ct -> SDoc
forall a. Outputable a => a -> SDoc
ppr Ct
work_item SDoc -> SDoc -> SDoc
$$ ClsInstResult -> SDoc
forall a. Outputable a => a -> SDoc
ppr ClsInstResult
lookup_res)

checkInstanceOK :: CtLoc -> InstanceWhat -> TcPredType -> TcS CtLoc
-- Check that it's OK to use this insstance:
--    (a) the use is well staged in the Template Haskell sense
--    (b) we have not recursed too deep
-- Returns the CtLoc to used for sub-goals
checkInstanceOK :: CtLoc -> InstanceWhat -> PredType -> TcS CtLoc
checkInstanceOK loc :: CtLoc
loc what :: InstanceWhat
what pred :: PredType
pred
  = do { CtLoc -> InstanceWhat -> PredType -> TcS ()
checkWellStagedDFun CtLoc
loc InstanceWhat
what PredType
pred
       ; CtLoc -> PredType -> TcS ()
checkReductionDepth CtLoc
deeper_loc PredType
pred
       ; CtLoc -> TcS CtLoc
forall (m :: * -> *) a. Monad m => a -> m a
return CtLoc
deeper_loc }
  where
     deeper_loc :: CtLoc
deeper_loc = CtLoc -> CtLoc
zap_origin (CtLoc -> CtLoc
bumpCtLocDepth CtLoc
loc)
     origin :: CtOrigin
origin     = CtLoc -> CtOrigin
ctLocOrigin CtLoc
loc

     zap_origin :: CtLoc -> CtLoc
zap_origin loc :: CtLoc
loc  -- After applying an instance we can set ScOrigin to
                     -- infinity, so that prohibitedSuperClassSolve never fires
       | ScOrigin {} <- CtOrigin
origin
       = CtLoc -> CtOrigin -> CtLoc
setCtLocOrigin CtLoc
loc (IntWithInf -> CtOrigin
ScOrigin IntWithInf
infinity)
       | Bool
otherwise
       = CtLoc
loc

{- Note [Instances in no-evidence implications]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In Trac #15290 we had
  [G] forall p q. Coercible p q => Coercible (m p) (m q))
  [W] forall <no-ev> a. m (Int, IntStateT m a)
                          ~R#
                        m (Int, StateT Int m a)

The Given is an ordinary quantified constraint; the Wanted is an implication
equality that arises from
  [W] (forall a. t1) ~R# (forall a. t2)

But because the (t1 ~R# t2) is solved "inside a type" (under that forall a)
we can't generate any term evidence.  So we can't actually use that
lovely quantified constraint.  Alas!

This test arranges to ignore the instance-based solution under these
(rare) circumstances.   It's sad, but I  really don't see what else we can do.
-}


matchClassInst :: DynFlags -> InertSet
               -> Class -> [Type]
               -> CtLoc -> TcS ClsInstResult
matchClassInst :: DynFlags
-> InertSet -> Class -> [PredType] -> CtLoc -> TcS ClsInstResult
matchClassInst dflags :: DynFlags
dflags inerts :: InertSet
inerts clas :: Class
clas tys :: [PredType]
tys loc :: CtLoc
loc
-- First check whether there is an in-scope Given that could
-- match this constraint.  In that case, do not use any instance
-- whether top level, or local quantified constraints.
-- ee Note [Instance and Given overlap]
  | Bool -> Bool
not (Extension -> DynFlags -> Bool
xopt Extension
LangExt.IncoherentInstances DynFlags
dflags)
  , Bool -> Bool
not (Class -> Bool
naturallyCoherentClass Class
clas)
  , let matchable_givens :: Cts
matchable_givens = CtLoc -> PredType -> InertSet -> Cts
matchableGivens CtLoc
loc PredType
pred InertSet
inerts
  , Bool -> Bool
not (Cts -> Bool
forall a. Bag a -> Bool
isEmptyBag Cts
matchable_givens)
  = do { String -> SDoc -> TcS ()
traceTcS "Delaying instance application" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$
           [SDoc] -> SDoc
vcat [ String -> SDoc
text "Work item=" SDoc -> SDoc -> SDoc
<+> Class -> [PredType] -> SDoc
pprClassPred Class
clas [PredType]
tys
                , String -> SDoc
text "Potential matching givens:" SDoc -> SDoc -> SDoc
<+> Cts -> SDoc
forall a. Outputable a => a -> SDoc
ppr Cts
matchable_givens ]
       ; ClsInstResult -> TcS ClsInstResult
forall (m :: * -> *) a. Monad m => a -> m a
return ClsInstResult
NotSure }

  | Bool
otherwise
  = do { String -> SDoc -> TcS ()
traceTcS "matchClassInst" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$ String -> SDoc
text "pred =" SDoc -> SDoc -> SDoc
<+> PredType -> SDoc
forall a. Outputable a => a -> SDoc
ppr PredType
pred SDoc -> SDoc -> SDoc
<+> Char -> SDoc
char '{'
       ; ClsInstResult
local_res <- PredType -> CtLoc -> TcS ClsInstResult
matchLocalInst PredType
pred CtLoc
loc
       ; case ClsInstResult
local_res of
           OneInst {} ->  -- See Note [Local instances and incoherence]
                do { String -> SDoc -> TcS ()
traceTcS "} matchClassInst local match" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$ ClsInstResult -> SDoc
forall a. Outputable a => a -> SDoc
ppr ClsInstResult
local_res
                   ; ClsInstResult -> TcS ClsInstResult
forall (m :: * -> *) a. Monad m => a -> m a
return ClsInstResult
local_res }

           NotSure -> -- In the NotSure case for local instances
                      -- we don't want to try global instances
                do { String -> SDoc -> TcS ()
traceTcS "} matchClassInst local not sure" SDoc
empty
                   ; ClsInstResult -> TcS ClsInstResult
forall (m :: * -> *) a. Monad m => a -> m a
return ClsInstResult
local_res }

           NoInstance  -- No local instances, so try global ones
              -> do { ClsInstResult
global_res <- DynFlags -> Bool -> Class -> [PredType] -> TcS ClsInstResult
matchGlobalInst DynFlags
dflags Bool
False Class
clas [PredType]
tys
                    ; String -> SDoc -> TcS ()
traceTcS "} matchClassInst global result" (SDoc -> TcS ()) -> SDoc -> TcS ()
forall a b. (a -> b) -> a -> b
$ ClsInstResult -> SDoc
forall a. Outputable a => a -> SDoc
ppr ClsInstResult
global_res
                    ; ClsInstResult -> TcS ClsInstResult
forall (m :: * -> *) a. Monad m => a -> m a
return ClsInstResult
global_res } }
  where
    pred :: PredType
pred = Class -> [PredType] -> PredType
mkClassPred Class
clas [PredType]
tys

-- | If a class is "naturally coherent", then we needn't worry at all, in any
-- way, about overlapping/incoherent instances. Just solve the thing!
-- See Note [Naturally coherent classes]
-- See also Note [The equality class story] in TysPrim.
naturallyCoherentClass :: Class -> Bool
naturallyCoherentClass :: Class -> Bool
naturallyCoherentClass cls :: Class
cls
  = Class -> Bool
isCTupleClass Class
cls
    Bool -> Bool -> Bool
|| Class
cls Class -> Unique -> Bool
forall a. Uniquable a => a -> Unique -> Bool
`hasKey` Unique
heqTyConKey
    Bool -> Bool -> Bool
|| Class
cls Class -> Unique -> Bool
forall a. Uniquable a => a -> Unique -> Bool
`hasKey` Unique
eqTyConKey
    Bool -> Bool -> Bool
|| Class
cls Class -> Unique -> Bool
forall a. Uniquable a => a -> Unique -> Bool
`hasKey` Unique
coercibleTyConKey


{- Note [Instance and Given overlap]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Example, from the OutsideIn(X) paper:
       instance P x => Q [x]
       instance (x ~ y) => R y [x]

       wob :: forall a b. (Q [b], R b a) => a -> Int

       g :: forall a. Q [a] => [a] -> Int
       g x = wob x

From 'g' we get the impliation constraint:
            forall a. Q [a] => (Q [beta], R beta [a])
If we react (Q [beta]) with its top-level axiom, we end up with a
(P beta), which we have no way of discharging. On the other hand,
if we react R beta [a] with the top-level we get  (beta ~ a), which
is solvable and can help us rewrite (Q [beta]) to (Q [a]) which is
now solvable by the given Q [a].

The partial solution is that:
  In matchClassInst (and thus in topReact), we return a matching
  instance only when there is no Given in the inerts which is
  unifiable to this particular dictionary.

  We treat any meta-tyvar as "unifiable" for this purpose,
  *including* untouchable ones.  But not skolems like 'a' in
  the implication constraint above.

The end effect is that, much as we do for overlapping instances, we
delay choosing a class instance if there is a possibility of another
instance OR a given to match our constraint later on. This fixes
Trac #4981 and #5002.

Other notes:

* The check is done *first*, so that it also covers classes
  with built-in instance solving, such as
     - constraint tuples
     - natural numbers
     - Typeable

* Flatten-skolems: we do not treat a flatten-skolem as unifiable
  for this purpose.
  E.g.   f :: Eq (F a) => [a] -> [a]
         f xs = ....(xs==xs).....
  Here we get [W] Eq [a], and we don't want to refrain from solving
  it because of the given (Eq (F a)) constraint!

* The given-overlap problem is arguably not easy to appear in practice
  due to our aggressive prioritization of equality solving over other
  constraints, but it is possible. I've added a test case in
  typecheck/should-compile/GivenOverlapping.hs

* Another "live" example is Trac #10195; another is #10177.

* We ignore the overlap problem if -XIncoherentInstances is in force:
  see Trac #6002 for a worked-out example where this makes a
  difference.

* Moreover notice that our goals here are different than the goals of
  the top-level overlapping checks. There we are interested in
  validating the following principle:

      If we inline a function f at a site where the same global
      instance environment is available as the instance environment at
      the definition site of f then we should get the same behaviour.

  But for the Given Overlap check our goal is just related to completeness of
  constraint solving.

* The solution is only a partial one.  Consider the above example with
       g :: forall a. Q [a] => [a] -> Int
       g x = let v = wob x
             in v
  and suppose we have -XNoMonoLocalBinds, so that we attempt to find the most
  general type for 'v'.  When generalising v's type we'll simplify its
  Q [alpha] constraint, but we don't have Q [a] in the 'givens', so we
  will use the instance declaration after all. Trac #11948 was a case
  in point.

All of this is disgustingly delicate, so to discourage people from writing
simplifiable class givens, we warn about signatures that contain them;
see TcValidity Note [Simplifiable given constraints].

Note [Naturally coherent classes]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
A few built-in classes are "naturally coherent".  This term means that
the "instance" for the class is bidirectional with its superclass(es).
For example, consider (~~), which behaves as if it was defined like
this:
  class a ~# b => a ~~ b
  instance a ~# b => a ~~ b
(See Note [The equality types story] in TysPrim.)

Faced with [W] t1 ~~ t2, it's always OK to reduce it to [W] t1 ~# t2,
without worrying about Note [Instance and Given overlap].  Why?  Because
if we had [G] s1 ~~ s2, then we'd get the superclass [G] s1 ~# s2, and
so the reduction of the [W] constraint does not risk losing any solutions.

On the other hand, it can be fatal to /fail/ to reduce such
equalities, on the grounds of Note [Instance and Given overlap],
because many good things flow from [W] t1 ~# t2.

The same reasoning applies to

* (~~)        heqTyCOn
* (~)         eqTyCon
* Coercible   coercibleTyCon

And less obviously to:

* Tuple classes.  For reasons described in TcSMonad
  Note [Tuples hiding implicit parameters], we may have a constraint
     [W] (?x::Int, C a)
  with an exactly-matching Given constraint.  We must decompose this
  tuple and solve the components separately, otherwise we won't solve
  it at all!  It is perfectly safe to decompose it, because again the
  superclasses invert the instance;  e.g.
      class (c1, c2) => (% c1, c2 %)
      instance (c1, c2) => (% c1, c2 %)
  Example in Trac #14218

Exammples: T5853, T10432, T5315, T9222, T2627b, T3028b

PS: the term "naturally coherent" doesn't really seem helpful.
Perhaps "invertible" or something?  I left it for now though.

Note [Local instances and incoherence]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider
   f :: forall b c. (Eq b, forall a. Eq a => Eq (c a))
                 => c b -> Bool
   f x = x==x

We get [W] Eq (c b), and we must use the local instance to solve it.

BUT that wanted also unifies with the top-level Eq [a] instance,
and Eq (Maybe a) etc.  We want the local instance to "win", otherwise
we can't solve the wanted at all.  So we mark it as Incohherent.
According to Note [Rules for instance lookup] in InstEnv, that'll
make it win even if there are other instances that unify.

Moreover this is not a hack!  The evidence for this local instance
will be constructed by GHC at a call site... from the very instances
that unify with it here.  It is not like an incoherent user-written
instance which might have utterly different behaviour.

Consdider  f :: Eq a => blah.  If we have [W] Eq a, we certainly
get it from the Eq a context, without worrying that there are
lots of top-level instances that unify with [W] Eq a!  We'll use
those instances to build evidence to pass to f. That's just the
nullary case of what's happening here.
-}

matchLocalInst :: TcPredType -> CtLoc -> TcS ClsInstResult
-- Look up the predicate in Given quantified constraints,
-- which are effectively just local instance declarations.
matchLocalInst :: PredType -> CtLoc -> TcS ClsInstResult
matchLocalInst pred :: PredType
pred loc :: CtLoc
loc
  = do { InertCans
ics <- TcS InertCans
getInertCans
       ; case [QCInst] -> ([(CtEvidence, [DFunInstType])], Bool)
match_local_inst (InertCans -> [QCInst]
inert_insts InertCans
ics) of
           ([], False) -> ClsInstResult -> TcS ClsInstResult
forall (m :: * -> *) a. Monad m => a -> m a
return ClsInstResult
NoInstance
           ([(dfun_ev :: CtEvidence
dfun_ev, inst_tys :: [DFunInstType]
inst_tys)], unifs :: Bool
unifs)
             | Bool -> Bool
not Bool
unifs
             -> do { let dfun_id :: EvVar
dfun_id = CtEvidence -> EvVar
ctEvEvId CtEvidence
dfun_ev
                   ; (tys :: [PredType]
tys, theta :: [PredType]
theta) <- EvVar -> [DFunInstType] -> TcS ([PredType], [PredType])
instDFunType EvVar
dfun_id [DFunInstType]
inst_tys
                   ; ClsInstResult -> TcS ClsInstResult
forall (m :: * -> *) a. Monad m => a -> m a
return (ClsInstResult -> TcS ClsInstResult)
-> ClsInstResult -> TcS ClsInstResult
forall a b. (a -> b) -> a -> b
$ OneInst :: [PredType] -> ([EvExpr] -> EvTerm) -> InstanceWhat -> ClsInstResult
OneInst { cir_new_theta :: [PredType]
cir_new_theta = [PredType]
theta
                                      , cir_mk_ev :: [EvExpr] -> EvTerm
cir_mk_ev     = EvVar -> [PredType] -> [EvExpr] -> EvTerm
evDFunApp EvVar
dfun_id [PredType]
tys
                                      , cir_what :: InstanceWhat
cir_what      = InstanceWhat
LocalInstance } }
           _ -> ClsInstResult -> TcS ClsInstResult
forall (m :: * -> *) a. Monad m => a -> m a
return ClsInstResult
NotSure }
  where
    pred_tv_set :: VarSet
pred_tv_set = PredType -> VarSet
tyCoVarsOfType PredType
pred

    match_local_inst :: [QCInst]
                     -> ( [(CtEvidence, [DFunInstType])]
                        , Bool )      -- True <=> Some unify but do not match
    match_local_inst :: [QCInst] -> ([(CtEvidence, [DFunInstType])], Bool)
match_local_inst []
      = ([], Bool
False)
    match_local_inst (qci :: QCInst
qci@(QCI { qci_tvs :: QCInst -> [EvVar]
qci_tvs = [EvVar]
qtvs, qci_pred :: QCInst -> PredType
qci_pred = PredType
qpred
                               , qci_ev :: QCInst -> CtEvidence
qci_ev = CtEvidence
ev })
                     : qcis :: [QCInst]
qcis)
      | let in_scope :: InScopeSet
in_scope = VarSet -> InScopeSet
mkInScopeSet (VarSet
qtv_set VarSet -> VarSet -> VarSet
`unionVarSet` VarSet
pred_tv_set)
      , Just tv_subst :: VarEnv PredType
tv_subst <- VarSet
-> RnEnv2
-> VarEnv PredType
-> PredType
-> PredType
-> Maybe (VarEnv PredType)
ruleMatchTyKiX VarSet
qtv_set (InScopeSet -> RnEnv2
mkRnEnv2 InScopeSet
in_scope)
                                        VarEnv PredType
emptyTvSubstEnv PredType
qpred PredType
pred
      , let match :: (CtEvidence, [DFunInstType])
match = (CtEvidence
ev, (EvVar -> DFunInstType) -> [EvVar] -> [DFunInstType]
forall a b. (a -> b) -> [a] -> [b]
map (VarEnv PredType -> EvVar -> DFunInstType
forall a. VarEnv a -> EvVar -> Maybe a
lookupVarEnv VarEnv PredType
tv_subst) [EvVar]
qtvs)
      = ((CtEvidence, [DFunInstType])
match(CtEvidence, [DFunInstType])
-> [(CtEvidence, [DFunInstType])] -> [(CtEvidence, [DFunInstType])]
forall a. a -> [a] -> [a]
:[(CtEvidence, [DFunInstType])]
matches, Bool
unif)

      | Bool
otherwise
      = ASSERT2( disjointVarSet qtv_set (tyCoVarsOfType pred)
               , ppr qci $$ ppr pred )
            -- ASSERT: unification relies on the
            -- quantified variables being fresh
        ([(CtEvidence, [DFunInstType])]
matches, Bool
unif Bool -> Bool -> Bool
|| Bool
this_unif)
      where
        qtv_set :: VarSet
qtv_set = [EvVar] -> VarSet
mkVarSet [EvVar]
qtvs
        this_unif :: Bool
this_unif = PredType -> CtLoc -> PredType -> CtLoc -> Bool
mightMatchLater PredType
qpred (CtEvidence -> CtLoc
ctEvLoc CtEvidence
ev) PredType
pred CtLoc
loc
        (matches :: [(CtEvidence, [DFunInstType])]
matches, unif :: Bool
unif) = [QCInst] -> ([(CtEvidence, [DFunInstType])], Bool)
match_local_inst [QCInst]
qcis