{-# LANGUAGE CPP #-}
{-# LANGUAGE NondecreasingIndentation #-}

#if __GLASGOW_HASKELL__ >= 810
{-# OPTIONS_GHC -fmax-pmcheck-models=390 #-} -- Andreas, 2023-05-12, limit determined by binary search
#endif

module Agda.TypeChecking.Conversion where

import Control.Arrow (second)
import Control.Monad
import Control.Monad.Except
-- Control.Monad.Fail import is redundant since GHC 8.8.1
import Control.Monad.Fail (MonadFail)

import Data.Function (on)
import Data.Semigroup ((<>))
import Data.IntMap (IntMap)

import qualified Data.List   as List
import qualified Data.IntMap as IntMap
import qualified Data.IntSet as IntSet
import qualified Data.Set    as Set

import Agda.Syntax.Common
import Agda.Syntax.Internal
import Agda.Syntax.Internal.MetaVars
import Agda.Syntax.Translation.InternalToAbstract (reify)

import Agda.TypeChecking.Monad
import Agda.TypeChecking.MetaVars
import Agda.TypeChecking.MetaVars.Occurs (killArgs,PruneResult(..),rigidVarsNotContainedIn)
import Agda.TypeChecking.Names
import Agda.TypeChecking.Reduce
import Agda.TypeChecking.Substitute
import qualified Agda.TypeChecking.SyntacticEquality as SynEq
import Agda.TypeChecking.Telescope
import Agda.TypeChecking.Constraints
import Agda.TypeChecking.Conversion.Pure (pureCompareAs, runPureConversion)
import Agda.TypeChecking.Forcing (isForced, nextIsForced)
import Agda.TypeChecking.Free
import Agda.TypeChecking.Datatypes (getConType, getFullyAppliedConType)
import Agda.TypeChecking.Records
import Agda.TypeChecking.Pretty
import Agda.TypeChecking.Injectivity
import Agda.TypeChecking.Polarity
import Agda.TypeChecking.SizedTypes
import Agda.TypeChecking.Level
import Agda.TypeChecking.Implicit (implicitArgs)
import Agda.TypeChecking.Irrelevance
import Agda.TypeChecking.Primitive
import Agda.TypeChecking.ProjectionLike
import Agda.TypeChecking.Warnings (MonadWarning)
import Agda.Interaction.Options

import Agda.Utils.Functor
import Agda.Utils.List1 (List1, pattern (:|))
import qualified Agda.Utils.List1 as List1
import Agda.Utils.Monad
import Agda.Utils.Maybe
import Agda.Utils.Permutation
import Agda.Syntax.Common.Pretty (prettyShow)
import qualified Agda.Utils.ProfileOptions as Profile
import Agda.Utils.BoolSet (BoolSet)
import qualified Agda.Utils.BoolSet as BoolSet
import Agda.Utils.Size
import Agda.Utils.Tuple
import Agda.Utils.Unsafe ( unsafeComparePointers )

import Agda.Utils.Impossible

type MonadConversion m =
  ( PureTCM m
  , MonadConstraint m
  , MonadMetaSolver m
  , MonadError TCErr m
  , MonadWarning m
  , MonadStatistics m
  , MonadFresh ProblemId m
  , MonadFresh Int m
  , MonadFail m
  )

-- | Try whether a computation runs without errors or new constraints
--   (may create new metas, though).
--   Restores state upon failure.
tryConversion
  :: (MonadConstraint m, MonadWarning m, MonadError TCErr m, MonadFresh ProblemId m)
  => m () -> m Bool
tryConversion :: forall (m :: * -> *).
(MonadConstraint m, MonadWarning m, MonadError TCErr m,
 MonadFresh ProblemId m) =>
m () -> m Bool
tryConversion = Maybe () -> Bool
forall a. Maybe a -> Bool
isJust (Maybe () -> Bool) -> (m () -> m (Maybe ())) -> m () -> m Bool
forall (m :: * -> *) b c a.
Functor m =>
(b -> c) -> (a -> m b) -> a -> m c
<.> m () -> m (Maybe ())
forall (m :: * -> *) a.
(MonadConstraint m, MonadWarning m, MonadError TCErr m,
 MonadFresh ProblemId m) =>
m a -> m (Maybe a)
tryConversion'

-- | Try whether a computation runs without errors or new constraints
--   (may create new metas, though).
--   Return 'Just' the result upon success.
--   Return 'Nothing' and restore state upon failure.
tryConversion'
  :: (MonadConstraint m, MonadWarning m, MonadError TCErr m, MonadFresh ProblemId m)
  => m a -> m (Maybe a)
tryConversion' :: forall (m :: * -> *) a.
(MonadConstraint m, MonadWarning m, MonadError TCErr m,
 MonadFresh ProblemId m) =>
m a -> m (Maybe a)
tryConversion' m a
m = m a -> m (Maybe a)
forall e (m :: * -> *) a.
(MonadError e m, Functor m) =>
m a -> m (Maybe a)
tryMaybe (m a -> m (Maybe a)) -> m a -> m (Maybe a)
forall a b. (a -> b) -> a -> b
$ m a -> m a
forall (m :: * -> *) a.
(MonadConstraint m, MonadWarning m, MonadError TCErr m,
 MonadFresh ProblemId m) =>
m a -> m a
noConstraints m a
m

-- | Check if to lists of arguments are the same (and all variables).
--   Precondition: the lists have the same length.
sameVars :: Elims -> Elims -> Bool
sameVars :: Elims -> Elims -> Bool
sameVars Elims
xs Elims
ys = [Bool] -> Bool
forall (t :: * -> *). Foldable t => t Bool -> Bool
and ([Bool] -> Bool) -> [Bool] -> Bool
forall a b. (a -> b) -> a -> b
$ (Elim' Term -> Elim' Term -> Bool) -> Elims -> Elims -> [Bool]
forall a b c. (a -> b -> c) -> [a] -> [b] -> [c]
zipWith Elim' Term -> Elim' Term -> Bool
same Elims
xs Elims
ys
    where
        same :: Elim' Term -> Elim' Term -> Bool
same (Apply (Arg ArgInfo
_ (Var Int
n []))) (Apply (Arg ArgInfo
_ (Var Int
m []))) = Int
n Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== Int
m
        same Elim' Term
_ Elim' Term
_ = Bool
False

-- | @intersectVars us vs@ checks whether all relevant elements in @us@ and @vs@
--   are variables, and if yes, returns a prune list which says @True@ for
--   arguments which are different and can be pruned.
intersectVars :: Elims -> Elims -> Maybe [Bool]
intersectVars :: Elims -> Elims -> Maybe [Bool]
intersectVars = (Elim' Term -> Elim' Term -> Maybe Bool)
-> Elims -> Elims -> Maybe [Bool]
forall (m :: * -> *) a b c.
Applicative m =>
(a -> b -> m c) -> [a] -> [b] -> m [c]
zipWithM Elim' Term -> Elim' Term -> Maybe Bool
areVars where
    -- ignore irrelevant args
    areVars :: Elim' Term -> Elim' Term -> Maybe Bool
areVars (Apply Arg Term
u) Elim' Term
v | Arg Term -> Bool
forall a. LensRelevance a => a -> Bool
isIrrelevant Arg Term
u = Bool -> Maybe Bool
forall a. a -> Maybe a
Just Bool
False -- do not prune
    areVars (Apply (Arg ArgInfo
_ (Var Int
n []))) (Apply (Arg ArgInfo
_ (Var Int
m []))) = Bool -> Maybe Bool
forall a. a -> Maybe a
Just (Bool -> Maybe Bool) -> Bool -> Maybe Bool
forall a b. (a -> b) -> a -> b
$ Int
n Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
/= Int
m -- prune different vars
    areVars Elim' Term
_ Elim' Term
_                                   = Maybe Bool
forall a. Maybe a
Nothing

-- | @guardPointerEquality x y s m@ behaves as @m@ if @x@ and @y@ are equal as pointers,
-- or does nothing otherwise.
-- Use with care, see the documentation for 'unsafeComparePointers'
guardPointerEquality :: MonadConversion m => a -> a -> String -> m () -> m ()
guardPointerEquality :: forall (m :: * -> *) a.
MonadConversion m =>
a -> a -> String -> m () -> m ()
guardPointerEquality a
u a
v String
profileSection m ()
action =
  if a -> a -> Bool
forall a. a -> a -> Bool
unsafeComparePointers a
u a
v
  then ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
profileSection
  else m ()
action

{-# SPECIALIZE equalTerm :: Type -> Term -> Term -> TCM () #-}
equalTerm :: MonadConversion m => Type -> Term -> Term -> m ()
equalTerm :: forall (m :: * -> *).
MonadConversion m =>
Type -> Term -> Term -> m ()
equalTerm = Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm Comparison
CmpEq

{-# SPECIALIZE equalAtom :: CompareAs -> Term -> Term -> TCM () #-}
equalAtom :: MonadConversion m => CompareAs -> Term -> Term -> m ()
equalAtom :: forall (m :: * -> *).
MonadConversion m =>
CompareAs -> Term -> Term -> m ()
equalAtom = Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
CmpEq

{-# SPECIALIZE equalType :: Type -> Type -> TCM () #-}
equalType :: MonadConversion m => Type -> Type -> m ()
equalType :: forall (m :: * -> *). MonadConversion m => Type -> Type -> m ()
equalType = Comparison -> Type -> Type -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Type -> m ()
compareType Comparison
CmpEq

{- Comparing in irrelevant context always succeeds.

   However, we might want to dig for solutions of irrelevant metas.

   To this end, we can just ignore errors during conversion checking.
 -}

-- convError ::  MonadTCM tcm => TypeError -> tcm a
-- | Ignore errors in irrelevant context.
convError :: TypeError -> TCM ()
convError :: TypeError -> TCM ()
convError TypeError
err =
  TCMT IO Bool -> TCM () -> TCM () -> TCM ()
forall (m :: * -> *) a. Monad m => m Bool -> m a -> m a -> m a
ifM (Relevance -> Relevance -> Bool
forall a. Eq a => a -> a -> Bool
(==) Relevance
Irrelevant (Relevance -> Bool) -> TCMT IO Relevance -> TCMT IO Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Lens' TCEnv Relevance -> TCMT IO Relevance
forall (m :: * -> *) a. MonadTCEnv m => Lens' TCEnv a -> m a
viewTC (Relevance -> f Relevance) -> TCEnv -> f TCEnv
Lens' TCEnv Relevance
eRelevance)
    (() -> TCM ()
forall a. a -> TCMT IO a
forall (m :: * -> *) a. Monad m => a -> m a
return ())
    (TypeError -> TCM ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError TypeError
err)


-- | Type directed equality on values.
--
compareTerm :: forall m. MonadConversion m => Comparison -> Type -> Term -> Term -> m ()
compareTerm :: forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm Comparison
cmp Type
a Term
u Term
v = Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAs Comparison
cmp (Type -> CompareAs
AsTermsOf Type
a) Term
u Term
v


{-# SPECIALIZE compareAs :: Comparison -> CompareAs -> Term -> Term -> TCM ()  #-}
-- | Type directed equality on terms or types.
compareAs :: forall m. MonadConversion m => Comparison -> CompareAs -> Term -> Term -> m ()
  -- If one term is a meta, try to instantiate right away. This avoids unnecessary unfolding.
  -- Andreas, 2012-02-14: This is UNSOUND for subtyping!
compareAs :: forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAs Comparison
cmp CompareAs
a Term
u Term
v = do
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.term" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep ([TCMT IO Doc] -> TCMT IO Doc) -> [TCMT IO Doc] -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$
    [ TCMT IO Doc
"compareTerm"
    , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
u TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Comparison -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Comparison -> m Doc
prettyTCM Comparison
cmp TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
v
    , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ CompareAs -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => CompareAs -> m Doc
prettyTCM CompareAs
a
    ]
  ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare"

  -- OLD CODE, traverses the *full* terms u v at each step, even if they
  -- are different somewhere.  Leads to infeasibility in issue 854.
  -- (u, v) <- instantiateFull (u, v)
  -- let equal = u == v

  -- Check syntactic equality. This actually saves us quite a bit of work.
  Term -> Term -> String -> m () -> m ()
forall (m :: * -> *) a.
MonadConversion m =>
a -> a -> String -> m () -> m ()
guardPointerEquality Term
u Term
v String
"pointer equality: terms" (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ Term
-> Term -> (Term -> Term -> m ()) -> (Term -> Term -> m ()) -> m ()
forall a (m :: * -> *) b.
(Instantiate a, SynEq a, MonadReduce m) =>
a -> a -> (a -> a -> m b) -> (a -> a -> m b) -> m b
SynEq.checkSyntacticEquality Term
u Term
v
    (\Term
_ Term
_ -> ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare equal") ((Term -> Term -> m ()) -> m ()) -> (Term -> Term -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$
    \Term
u Term
v -> do
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.term" Int
15 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep ([TCMT IO Doc] -> TCMT IO Doc) -> [TCMT IO Doc] -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$
        [ TCMT IO Doc
"compareTerm (not syntactically equal)"
        , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
u TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Comparison -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Comparison -> m Doc
prettyTCM Comparison
cmp TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
v
        , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ CompareAs -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => CompareAs -> m Doc
prettyTCM CompareAs
a
        ]
      -- If we are at type Size, we cannot short-cut comparison
      -- against metas by assignment.
      -- Andreas, 2014-04-12: this looks incomplete.
      -- It seems to assume we are never comparing
      -- at function types into Size.
      let fallback :: m ()
fallback = Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAs' Comparison
cmp CompareAs
a Term
u Term
v
          unlessSubtyping :: m () -> m ()
          unlessSubtyping :: m () -> m ()
unlessSubtyping m ()
cont =
              if Comparison
cmp Comparison -> Comparison -> Bool
forall a. Eq a => a -> a -> Bool
== Comparison
CmpEq then m ()
cont else do
                -- Andreas, 2014-04-12 do not short cut if type is blocked.
                CompareAs
-> (Blocker -> CompareAs -> m ())
-> (NotBlocked -> CompareAs -> m ())
-> m ()
forall t (m :: * -> *) a.
(Reduce t, IsMeta t, MonadReduce m) =>
t -> (Blocker -> t -> m a) -> (NotBlocked -> t -> m a) -> m a
ifBlocked CompareAs
a (\ Blocker
_ CompareAs
_ -> m ()
fallback) {-else-} ((NotBlocked -> CompareAs -> m ()) -> m ())
-> (NotBlocked -> CompareAs -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \ NotBlocked
_ CompareAs
a -> do
                  -- do not short circuit size comparison!
                  m (Maybe BoundedSize) -> m () -> (BoundedSize -> m ()) -> m ()
forall (m :: * -> *) a b.
Monad m =>
m (Maybe a) -> m b -> (a -> m b) -> m b
caseMaybeM (CompareAs -> m (Maybe BoundedSize)
forall a (m :: * -> *).
(IsSizeType a, HasOptions m, HasBuiltins m) =>
a -> m (Maybe BoundedSize)
forall (m :: * -> *).
(HasOptions m, HasBuiltins m) =>
CompareAs -> m (Maybe BoundedSize)
isSizeType CompareAs
a) m ()
cont (\ BoundedSize
_ -> m ()
fallback)

          dir :: CompareDirection
dir = Comparison -> CompareDirection
fromCmp Comparison
cmp
          rid :: CompareDirection
rid = CompareDirection -> CompareDirection
flipCmp CompareDirection
dir     -- The reverse direction.  Bad name, I know.
      case (Term
u, Term
v) of
        (MetaV MetaId
x Elims
us, MetaV MetaId
y Elims
vs)
          | MetaId
x MetaId -> MetaId -> Bool
forall a. Eq a => a -> a -> Bool
/= MetaId
y    -> m () -> m ()
unlessSubtyping (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ m ()
solve1 m () -> m () -> m ()
`orelse` m ()
solve2 m () -> m () -> m ()
`orelse` m ()
fallback
          | Bool
otherwise -> m ()
fallback
          where
            (m ()
solve1, m ()
solve2) | MetaId
x MetaId -> MetaId -> Bool
forall a. Ord a => a -> a -> Bool
> MetaId
y     = (CompareDirection -> MetaId -> Elims -> Term -> m ()
assign CompareDirection
dir MetaId
x Elims
us Term
v, CompareDirection -> MetaId -> Elims -> Term -> m ()
assign CompareDirection
rid MetaId
y Elims
vs Term
u)
                             | Bool
otherwise = (CompareDirection -> MetaId -> Elims -> Term -> m ()
assign CompareDirection
rid MetaId
y Elims
vs Term
u, CompareDirection -> MetaId -> Elims -> Term -> m ()
assign CompareDirection
dir MetaId
x Elims
us Term
v)
        (MetaV MetaId
x Elims
us, Term
_) -> m () -> m ()
unlessSubtyping (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ CompareDirection -> MetaId -> Elims -> Term -> m ()
assign CompareDirection
dir MetaId
x Elims
us Term
v m () -> m () -> m ()
`orelse` m ()
fallback
        (Term
_, MetaV MetaId
y Elims
vs) -> m () -> m ()
unlessSubtyping (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ CompareDirection -> MetaId -> Elims -> Term -> m ()
assign CompareDirection
rid MetaId
y Elims
vs Term
u m () -> m () -> m ()
`orelse` m ()
fallback
        (Def QName
f Elims
es, Def QName
f' Elims
es') | QName
f QName -> QName -> Bool
forall a. Eq a => a -> a -> Bool
== QName
f' ->
          m Bool -> m () -> m () -> m ()
forall (m :: * -> *) a. Monad m => m Bool -> m a -> m a -> m a
ifNotM (PragmaOptions -> Bool
optFirstOrder (PragmaOptions -> Bool) -> m PragmaOptions -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> m PragmaOptions
forall (m :: * -> *). HasOptions m => m PragmaOptions
pragmaOptions) m ()
fallback (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ {- else -} m () -> m ()
unlessSubtyping (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
          Definition
def <- QName -> m Definition
forall (m :: * -> *). HasConstInfo m => QName -> m Definition
getConstInfo QName
f
          -- We do not shortcut projection-likes,
          -- Andreas, 2022-03-07, issue #5809:
          -- but irrelevant projections since they are applied to their parameters.
          -- Amy, 2023-01-04, issue #6415: and not
          -- prim^unglue/prim^unglueU either! removing the unglue from a
          -- transport/hcomp may cause an infinite loop.
          [Maybe QName]
cubicalProjs <- (PrimitiveId -> m (Maybe QName))
-> [PrimitiveId] -> m [Maybe QName]
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> [a] -> f [b]
traverse PrimitiveId -> m (Maybe QName)
forall (m :: * -> *) a.
(HasBuiltins m, IsBuiltin a) =>
a -> m (Maybe QName)
getName' [PrimitiveId
builtin_unglue, PrimitiveId
builtin_unglueU]
          let
            notFirstOrder :: Bool
notFirstOrder = Maybe Projection -> Bool
forall a. Maybe a -> Bool
isJust (Definition -> Maybe Projection
isRelevantProjection_ Definition
def)
                         Bool -> Bool -> Bool
|| (Maybe QName -> Bool) -> [Maybe QName] -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
any (QName -> Maybe QName
forall a. a -> Maybe a
Just QName
f Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
==) [Maybe QName]
cubicalProjs
          if Bool
notFirstOrder then m ()
fallback else do
          [Polarity]
pol <- Comparison -> QName -> m [Polarity]
forall (m :: * -> *).
HasConstInfo m =>
Comparison -> QName -> m [Polarity]
getPolarity' Comparison
cmp QName
f
          ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare first-order shortcut"
          [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [Polarity]
pol [] (Definition -> Type
defType Definition
def) (QName -> Elims -> Term
Def QName
f []) Elims
es Elims
es' m () -> m () -> m ()
`orelse` m ()
fallback
        (Term, Term)
_               -> m ()
fallback
  where
    assign :: CompareDirection -> MetaId -> Elims -> Term -> m ()
    assign :: CompareDirection -> MetaId -> Elims -> Term -> m ()
assign CompareDirection
dir MetaId
x Elims
es Term
v = do
      -- Andreas, 2013-10-19 can only solve if no projections
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.term.shortcut" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep
        [ TCMT IO Doc
"attempting shortcut"
        , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM (MetaId -> Elims -> Term
MetaV MetaId
x Elims
es) TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
":=" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
v
        ]
      m Bool -> m () -> m ()
forall (m :: * -> *). Monad m => m Bool -> m () -> m ()
whenM (MetaId -> m Bool
forall a (m :: * -> *).
(IsInstantiatedMeta a, MonadFail m, ReadTCState m) =>
a -> m Bool
forall (m :: * -> *).
(MonadFail m, ReadTCState m) =>
MetaId -> m Bool
isInstantiatedMeta MetaId
x) (Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
alwaysUnblock) -- Already instantiated, retry right away
      ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare meta shortcut"
      CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
assignE CompareDirection
dir MetaId
x Elims
es Term
v CompareAs
a ((Term -> Term -> m ()) -> m ()) -> (Term -> Term -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ CompareDirection -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection -> CompareAs -> Term -> Term -> m ()
compareAsDir CompareDirection
dir CompareAs
a
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.term.shortcut" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
        TCMT IO Doc
"shortcut successful" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
$$ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc
"result:" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> (Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty (Term -> TCMT IO Doc) -> TCMT IO Term -> TCMT IO Doc
forall (m :: * -> *) a b. Monad m => (a -> m b) -> m a -> m b
=<< Term -> TCMT IO Term
forall a (m :: * -> *). (Instantiate a, MonadReduce m) => a -> m a
instantiate (MetaId -> Elims -> Term
MetaV MetaId
x Elims
es)))
      ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare meta shortcut successful"
    -- Should be ok with catchError_ but catchError is much safer since we don't
    -- rethrow errors.
    orelse :: m () -> m () -> m ()
    orelse :: m () -> m () -> m ()
orelse m ()
m m ()
h = m () -> (TCErr -> m ()) -> m ()
forall a. m a -> (TCErr -> m a) -> m a
forall e (m :: * -> *) a.
MonadError e m =>
m a -> (e -> m a) -> m a
catchError m ()
m (\TCErr
_ -> m ()
h)

-- | Try to assign meta.  If meta is projected, try to eta-expand
--   and run conversion check again.
assignE :: (MonadConversion m)
        => CompareDirection -> MetaId -> Elims -> Term -> CompareAs -> (Term -> Term -> m ()) -> m ()
assignE :: forall (m :: * -> *).
MonadConversion m =>
CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
assignE CompareDirection
dir MetaId
x Elims
es Term
v CompareAs
a Term -> Term -> m ()
comp = do
  ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare meta"
  case Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
es of
    Just [Arg Term]
vs -> CompareDirection
-> MetaId -> [Arg Term] -> Term -> CompareAs -> m ()
forall (m :: * -> *).
MonadMetaSolver m =>
CompareDirection
-> MetaId -> [Arg Term] -> Term -> CompareAs -> m ()
assignV CompareDirection
dir MetaId
x [Arg Term]
vs Term
v CompareAs
a
    Maybe [Arg Term]
Nothing -> do
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.assign" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep
        [ TCMT IO Doc
"assigning to projected meta "
        , MetaId -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => MetaId -> m Doc
prettyTCM MetaId
x TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep ((Elim' Term -> TCMT IO Doc) -> Elims -> [TCMT IO Doc]
forall a b. (a -> b) -> [a] -> [b]
map Elim' Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Elim' Term -> m Doc
prettyTCM Elims
es) TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text (String
":" String -> String -> String
forall a. [a] -> [a] -> [a]
++ CompareDirection -> String
forall a. Show a => a -> String
show CompareDirection
dir) TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
v
        ]
      [MetaKind] -> MetaId -> m ()
forall (m :: * -> *).
MonadMetaSolver m =>
[MetaKind] -> MetaId -> m ()
etaExpandMeta [MetaKind
Records] MetaId
x
      Maybe Term
res <- MetaId -> m (Maybe Term)
forall (m :: * -> *).
(MonadFail m, ReadTCState m) =>
MetaId -> m (Maybe Term)
isInstantiatedMeta' MetaId
x
      case Maybe Term
res of
        Just Term
u  -> do
          String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.assign" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep
            [ TCMT IO Doc
"seems like eta expansion instantiated meta "
            , MetaId -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => MetaId -> m Doc
prettyTCM MetaId
x TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text  (String
":" String -> String -> String
forall a. [a] -> [a] -> [a]
++ CompareDirection -> String
forall a. Show a => a -> String
show CompareDirection
dir) TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
u
            ]
          let w :: Term
w = Term
u Term -> Elims -> Term
forall t. Apply t => t -> Elims -> t
`applyE` Elims
es
          Term -> Term -> m ()
comp Term
w Term
v
        Maybe Term
Nothing ->  do
          String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.assign" Int
30 String
"eta expansion did not instantiate meta"
          Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation (Blocker -> m ()) -> Blocker -> m ()
forall a b. (a -> b) -> a -> b
$ MetaId -> Blocker
unblockOnMeta MetaId
x -- nothing happened, give up

compareAsDir :: MonadConversion m => CompareDirection -> CompareAs -> Term -> Term -> m ()
compareAsDir :: forall (m :: * -> *).
MonadConversion m =>
CompareDirection -> CompareAs -> Term -> Term -> m ()
compareAsDir CompareDirection
dir CompareAs
a = (Comparison -> Term -> Term -> m ())
-> CompareDirection -> Term -> Term -> m ()
forall a c.
(Comparison -> a -> a -> c) -> CompareDirection -> a -> a -> c
dirToCmp (Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
`compareAs'` CompareAs
a) CompareDirection
dir

compareAs' :: forall m. MonadConversion m => Comparison -> CompareAs -> Term -> Term -> m ()
compareAs' :: forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAs' Comparison
cmp CompareAs
tt Term
m Term
n = case CompareAs
tt of
  AsTermsOf Type
a -> Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm' Comparison
cmp Type
a Term
m Term
n
  CompareAs
AsSizes     -> Comparison -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Term -> Term -> m ()
compareSizes Comparison
cmp Term
m Term
n
  CompareAs
AsTypes     -> Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
cmp CompareAs
AsTypes Term
m Term
n

compareTerm' :: forall m. MonadConversion m => Comparison -> Type -> Term -> Term -> m ()
compareTerm' :: forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm' Comparison
cmp Type
a Term
m Term
n =
  String -> Int -> String -> m () -> m ()
forall a. String -> Int -> String -> m a -> m a
forall (m :: * -> *) a.
MonadDebug m =>
String -> Int -> String -> m a -> m a
verboseBracket String
"tc.conv.term" Int
20 String
"compareTerm" (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
  (Blocker
ba, Type
a') <- Type -> m (Blocker, Type)
forall a (m :: * -> *).
(Reduce a, IsMeta a, MonadReduce m) =>
a -> m (Blocker, a)
reduceWithBlocker Type
a
  (Constraint -> m () -> m ()
forall (m :: * -> *).
MonadConstraint m =>
Constraint -> m () -> m ()
catchConstraint (Comparison -> CompareAs -> Term -> Term -> Constraint
ValueCmp Comparison
cmp (Type -> CompareAs
AsTermsOf Type
a') Term
m Term
n) :: m () -> m ()) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ Blocker -> m () -> m ()
forall (m :: * -> *) a. MonadError TCErr m => Blocker -> m a -> m a
blockOnError Blocker
ba (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.term" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep
      [ TCMT IO Doc
"compareTerm", Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
m, Comparison -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Comparison -> m Doc
prettyTCM Comparison
cmp, Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
n, TCMT IO Doc
":", Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
a' ]
    Bool
propIrr  <- m Bool
forall (m :: * -> *). HasOptions m => m Bool
isPropEnabled
    Bool
isSize   <- Maybe BoundedSize -> Bool
forall a. Maybe a -> Bool
isJust (Maybe BoundedSize -> Bool) -> m (Maybe BoundedSize) -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Type -> m (Maybe BoundedSize)
forall a (m :: * -> *).
(IsSizeType a, HasOptions m, HasBuiltins m) =>
a -> m (Maybe BoundedSize)
forall (m :: * -> *).
(HasOptions m, HasBuiltins m) =>
Type -> m (Maybe BoundedSize)
isSizeType Type
a'
    (Blocker
bs, Sort
s)  <- Sort -> m (Blocker, Sort)
forall a (m :: * -> *).
(Reduce a, IsMeta a, MonadReduce m) =>
a -> m (Blocker, a)
reduceWithBlocker (Sort -> m (Blocker, Sort)) -> Sort -> m (Blocker, Sort)
forall a b. (a -> b) -> a -> b
$ Type -> Sort
forall a. LensSort a => a -> Sort
getSort Type
a'
    Maybe Term
mlvl     <- BuiltinId -> m (Maybe Term)
forall (m :: * -> *). HasBuiltins m => BuiltinId -> m (Maybe Term)
getBuiltin' BuiltinId
builtinLevel
    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.term" Int
40 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep
      [ TCMT IO Doc
"compareTerm", Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
m, Comparison -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Comparison -> m Doc
prettyTCM Comparison
cmp, Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
n, TCMT IO Doc
":", Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
a'
      , TCMT IO Doc
"at sort", Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s]
    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
60 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep
      [ TCMT IO Doc
"a'   =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Type
a'
      , TCMT IO Doc
"mlvl =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Maybe Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Maybe Term
mlvl
      , String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text (String -> TCMT IO Doc) -> String -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ String
"(Just (unEl a') == mlvl) = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ Bool -> String
forall a. Show a => a -> String
show (Term -> Maybe Term
forall a. a -> Maybe a
Just (Type -> Term
forall t a. Type'' t a -> a
unEl Type
a') Maybe Term -> Maybe Term -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe Term
mlvl)
      ]
    Blocker -> m () -> m ()
forall (m :: * -> *) a. MonadError TCErr m => Blocker -> m a -> m a
blockOnError Blocker
bs (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ case Sort
s of
      Prop{} | Bool
propIrr -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Type -> Term -> Term -> m ()
compareIrrelevant Type
a' Term
m Term
n
      Sort
_    | Bool
isSize   -> Comparison -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Term -> Term -> m ()
compareSizes Comparison
cmp Term
m Term
n
      Sort
_               -> case Type -> Term
forall t a. Type'' t a -> a
unEl Type
a' of
        Term
a | Term -> Maybe Term
forall a. a -> Maybe a
Just Term
a Maybe Term -> Maybe Term -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe Term
mlvl -> do
          Level
a <- Term -> m Level
forall (m :: * -> *). PureTCM m => Term -> m Level
levelView Term
m
          Level
b <- Term -> m Level
forall (m :: * -> *). PureTCM m => Term -> m Level
levelView Term
n
          Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
equalLevel Level
a Level
b
        a :: Term
a@Pi{}    -> MonadConversion m => Sort -> Term -> Term -> Term -> m ()
Sort -> Term -> Term -> Term -> m ()
equalFun Sort
s Term
a Term
m Term
n
        Lam ArgInfo
_ Abs Term
_   -> do
          String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.term.sort" Int
10 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep
            [ TCMT IO Doc
"compareTerm", Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
m, Comparison -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Comparison -> m Doc
prettyTCM Comparison
cmp, Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
n, TCMT IO Doc
":", Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
a'
            , TCMT IO Doc
"at sort", Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s
            ]
          m ()
forall a. HasCallStack => a
__IMPOSSIBLE__
        Def QName
r Elims
es  -> do
          Bool
isrec <- QName -> m Bool
forall (m :: * -> *). HasConstInfo m => QName -> m Bool
isEtaRecord QName
r
          if Bool
isrec
            then do
              ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare at eta record"
              Signature
sig <- m Signature
forall (m :: * -> *). ReadTCState m => m Signature
getSignature
              let ps :: [Arg Term]
ps = [Arg Term] -> Maybe [Arg Term] -> [Arg Term]
forall a. a -> Maybe a -> a
fromMaybe [Arg Term]
forall a. HasCallStack => a
__IMPOSSIBLE__ (Maybe [Arg Term] -> [Arg Term]) -> Maybe [Arg Term] -> [Arg Term]
forall a b. (a -> b) -> a -> b
$ Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
es
              -- Andreas, 2010-10-11: allowing neutrals to be blocked things does not seem
              -- to change Agda's behavior
              --    isNeutral Blocked{}          = False
                  isNeutral :: Blocked' t Term -> m Bool
isNeutral (NotBlocked NotBlocked' t
_ Con{}) = Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
False
              -- Andreas, 2013-09-18 / 2015-06-29: a Def by copatterns is
              -- not neutral if it is blocked (there can be missing projections
              -- to trigger a reduction.
                  isNeutral (NotBlocked NotBlocked' t
r (Def QName
q Elims
_)) = do    -- Andreas, 2014-12-06 optimize this using r !!
                    Bool -> Bool
not (Bool -> Bool) -> m Bool -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> QName -> m Bool
forall (m :: * -> *). HasConstInfo m => QName -> m Bool
usesCopatterns QName
q -- a def by copattern can reduce if projected
                  isNeutral Blocked' t Term
_                   = Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
True
                  isMeta :: Blocked' t Term -> Bool
isMeta Blocked' t Term
b = case Blocked' t Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked' t Term
b of
                               MetaV{} -> Bool
True
                               Term
_       -> Bool
False

              String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.term" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
a TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"is eta record type"
              Blocked Term
m <- Term -> m (Blocked Term)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Term
m
              Bool
mNeutral <- Blocked Term -> m Bool
forall {m :: * -> *} {t}.
HasConstInfo m =>
Blocked' t Term -> m Bool
isNeutral Blocked Term
m
              Blocked Term
n <- Term -> m (Blocked Term)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Term
n
              Bool
nNeutral <- Blocked Term -> m Bool
forall {m :: * -> *} {t}.
HasConstInfo m =>
Blocked' t Term -> m Bool
isNeutral Blocked Term
n
              if | Blocked Term -> Bool
forall {t}. Blocked' t Term -> Bool
isMeta Blocked Term
m Bool -> Bool -> Bool
|| Blocked Term -> Bool
forall {t}. Blocked' t Term -> Bool
isMeta Blocked Term
n -> do
                     ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare at eta-record: meta"
                     Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
cmp (Type -> CompareAs
AsTermsOf Type
a') (Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
m) (Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
n)
                 | Bool
mNeutral Bool -> Bool -> Bool
&& Bool
nNeutral -> do
                     ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare at eta-record: both neutral"
                     -- Andreas 2011-03-23: (fixing issue 396)
                     -- if we are dealing with a singleton record,
                     -- we can succeed immediately
                     let profUnitEta :: m ()
profUnitEta = ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare at eta-record: both neutral at unit"
                     m Bool -> m () -> m () -> m ()
forall (m :: * -> *) a. Monad m => m Bool -> m a -> m a -> m a
ifM (QName -> [Arg Term] -> m Bool
forall (m :: * -> *).
(PureTCM m, MonadBlock m) =>
QName -> [Arg Term] -> m Bool
isSingletonRecordModuloRelevance QName
r [Arg Term]
ps) (m ()
profUnitEta) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
                       -- do not eta-expand if comparing two neutrals
                       Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
cmp (Type -> CompareAs
AsTermsOf Type
a') (Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
m) (Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
n)
                 | Bool
otherwise -> do
                     ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare at eta-record: eta-expanding"
                     (Telescope
tel, [Arg Term]
m') <- QName -> [Arg Term] -> Term -> m (Telescope, [Arg Term])
forall (m :: * -> *).
(HasConstInfo m, MonadDebug m, ReadTCState m) =>
QName -> [Arg Term] -> Term -> m (Telescope, [Arg Term])
etaExpandRecord QName
r [Arg Term]
ps (Term -> m (Telescope, [Arg Term]))
-> Term -> m (Telescope, [Arg Term])
forall a b. (a -> b) -> a -> b
$ Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
m
                     (Telescope
_  , [Arg Term]
n') <- QName -> [Arg Term] -> Term -> m (Telescope, [Arg Term])
forall (m :: * -> *).
(HasConstInfo m, MonadDebug m, ReadTCState m) =>
QName -> [Arg Term] -> Term -> m (Telescope, [Arg Term])
etaExpandRecord QName
r [Arg Term]
ps (Term -> m (Telescope, [Arg Term]))
-> Term -> m (Telescope, [Arg Term])
forall a b. (a -> b) -> a -> b
$ Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
n
                     -- No subtyping on record terms
                     ConHead
c <- QName -> m ConHead
forall (m :: * -> *).
(HasConstInfo m, ReadTCState m, MonadError TCErr m) =>
QName -> m ConHead
getRecordConstructor QName
r
                     -- Record constructors are covariant (see test/succeed/CovariantConstructors).
                     [Polarity]
-> [IsForced] -> Type -> Term -> [Arg Term] -> [Arg Term] -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity]
-> [IsForced] -> Type -> Term -> [Arg Term] -> [Arg Term] -> m ()
compareArgs (Polarity -> [Polarity]
forall a. a -> [a]
repeat (Polarity -> [Polarity]) -> Polarity -> [Polarity]
forall a b. (a -> b) -> a -> b
$ Comparison -> Polarity
polFromCmp Comparison
cmp) [] (Telescope -> Type -> Type
telePi_ Telescope
tel Type
HasCallStack => Type
__DUMMY_TYPE__) (ConHead -> ConInfo -> Elims -> Term
Con ConHead
c ConInfo
ConOSystem []) [Arg Term]
m' [Arg Term]
n'

            else (do PathView
pathview <- Type -> m PathView
forall (m :: * -> *). HasBuiltins m => Type -> m PathView
pathView Type
a'
                     MonadConversion m => PathView -> Type -> Term -> Term -> m ()
PathView -> Type -> Term -> Term -> m ()
equalPath PathView
pathview Type
a' Term
m Term
n)
        Term
_ -> Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
cmp (Type -> CompareAs
AsTermsOf Type
a') Term
m Term
n
  where
    -- equality at function type (accounts for eta)
    equalFun :: (MonadConversion m) => Sort -> Term -> Term -> Term -> m ()
    equalFun :: MonadConversion m => Sort -> Term -> Term -> Term -> m ()
equalFun Sort
s a :: Term
a@(Pi Dom Type
dom Abs Type
b) Term
m Term
n | Dom Type -> Bool
forall t e. Dom' t e -> Bool
domIsFinite Dom Type
dom = do
       Maybe QName
mp <- (Term -> QName) -> Maybe Term -> Maybe QName
forall a b. (a -> b) -> Maybe a -> Maybe b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap Term -> QName
getPrimName (Maybe Term -> Maybe QName) -> m (Maybe Term) -> m (Maybe QName)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> BuiltinId -> m (Maybe Term)
forall (m :: * -> *). HasBuiltins m => BuiltinId -> m (Maybe Term)
getBuiltin' BuiltinId
builtinIsOne
       let asFn :: Type
asFn = Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El Sort
s (Dom Type -> Abs Type -> Term
Pi (Dom Type
dom { domIsFinite = False }) Abs Type
b)
       case Type -> Term
forall t a. Type'' t a -> a
unEl (Type -> Term) -> Type -> Term
forall a b. (a -> b) -> a -> b
$ Dom Type -> Type
forall t e. Dom' t e -> e
unDom Dom Type
dom of
          Def QName
q [Apply Arg Term
phi]
              | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mp -> Comparison -> Term -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Term -> Type -> Term -> Term -> m ()
compareTermOnFace Comparison
cmp (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
phi) Type
asFn Term
m Term
n
          Term
_                  -> MonadConversion m => Sort -> Term -> Term -> Term -> m ()
Sort -> Term -> Term -> Term -> m ()
equalFun Sort
s (Type -> Term
forall t a. Type'' t a -> a
unEl Type
asFn) Term
m Term
n

    equalFun Sort
_ (Pi dom :: Dom Type
dom@Dom{domInfo :: forall t e. Dom' t e -> ArgInfo
domInfo = ArgInfo
info} Abs Type
b) Term
m Term
n = do
        ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare at function type"
        let name :: String
name = [Suggestion] -> String
suggests [ Abs Type -> Suggestion
forall a. Suggest a => a -> Suggestion
Suggestion Abs Type
b , Term -> Suggestion
forall a. Suggest a => a -> Suggestion
Suggestion Term
m , Term -> Suggestion
forall a. Suggest a => a -> Suggestion
Suggestion Term
n ]
        (String, Dom Type) -> m () -> m ()
forall b (m :: * -> *) a.
(AddContext b, MonadAddContext m) =>
b -> m a -> m a
forall (m :: * -> *) a.
MonadAddContext m =>
(String, Dom Type) -> m a -> m a
addContext (String
name, Dom Type
dom) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm Comparison
cmp (Abs Type -> Type
forall a. Subst a => Abs a -> a
absBody Abs Type
b) Term
m' Term
n'
      where
        (Term
m',Term
n') = Int -> (Term, Term) -> (Term, Term)
forall a. Subst a => Int -> a -> a
raise Int
1 (Term
m,Term
n) (Term, Term) -> [Arg Term] -> (Term, Term)
forall t. Apply t => t -> [Arg Term] -> t
`apply` [ArgInfo -> Term -> Arg Term
forall e. ArgInfo -> e -> Arg e
Arg ArgInfo
info (Term -> Arg Term) -> Term -> Arg Term
forall a b. (a -> b) -> a -> b
$ Int -> Term
var Int
0]

    equalFun Sort
_ Term
_ Term
_ Term
_ = m ()
forall a. HasCallStack => a
__IMPOSSIBLE__

    equalPath :: (MonadConversion m) => PathView -> Type -> Term -> Term -> m ()
    equalPath :: MonadConversion m => PathView -> Type -> Term -> Term -> m ()
equalPath (PathType Sort
s QName
_ Arg Term
l Arg Term
a Arg Term
x Arg Term
y) Type
_ Term
m Term
n = do
        ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare at path type"
        let name :: String
name = String
"i" :: String
        Type
interval <- m Term -> m Type
forall (m :: * -> *). Functor m => m Term -> m Type
el m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primInterval
        let (Term
m',Term
n') = Int -> (Term, Term) -> (Term, Term)
forall a. Subst a => Int -> a -> a
raise Int
1 (Term
m, Term
n) (Term, Term) -> Elims -> (Term, Term)
forall t. Apply t => t -> Elims -> t
`applyE` [Term -> Term -> Term -> Elim' Term
forall a. a -> a -> a -> Elim' a
IApply (Int -> Term -> Term
forall a. Subst a => Int -> a -> a
raise Int
1 (Term -> Term) -> Term -> Term
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
x) (Int -> Term -> Term
forall a. Subst a => Int -> a -> a
raise Int
1 (Term -> Term) -> Term -> Term
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
y) (Int -> Term
var Int
0)]
        (String, Dom Type) -> m () -> m ()
forall b (m :: * -> *) a.
(AddContext b, MonadAddContext m) =>
b -> m a -> m a
forall (m :: * -> *) a.
MonadAddContext m =>
(String, Dom Type) -> m a -> m a
addContext (String
name, Type -> Dom Type
forall a. a -> Dom a
defaultDom Type
interval) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm Comparison
cmp (Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El (Int -> Sort -> Sort
forall a. Subst a => Int -> a -> a
raise Int
1 Sort
s) (Term -> Type) -> Term -> Type
forall a b. (a -> b) -> a -> b
$ Int -> Term -> Term
forall a. Subst a => Int -> a -> a
raise Int
1 (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
a) Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
`apply` [Term -> Arg Term
forall e. e -> Arg e
argN (Term -> Arg Term) -> Term -> Arg Term
forall a b. (a -> b) -> a -> b
$ Int -> Term
var Int
0]) Term
m' Term
n'
    equalPath OType{} Type
a' Term
m Term
n = Type -> Term -> Term -> m ()
cmpDef Type
a' Term
m Term
n

    cmpDef :: Type -> Term -> Term -> m ()
cmpDef a' :: Type
a'@(El Sort
s Term
ty) Term
m Term
n = do
       Maybe QName
mI     <- BuiltinId -> m (Maybe QName)
forall (m :: * -> *). HasBuiltins m => BuiltinId -> m (Maybe QName)
getBuiltinName'   BuiltinId
builtinInterval
       Maybe QName
mIsOne <- BuiltinId -> m (Maybe QName)
forall (m :: * -> *). HasBuiltins m => BuiltinId -> m (Maybe QName)
getBuiltinName'   BuiltinId
builtinIsOne
       Maybe QName
mGlue  <- PrimitiveId -> m (Maybe QName)
forall (m :: * -> *).
HasBuiltins m =>
PrimitiveId -> m (Maybe QName)
getPrimitiveName' PrimitiveId
builtinGlue
       Maybe QName
mHComp <- PrimitiveId -> m (Maybe QName)
forall (m :: * -> *).
HasBuiltins m =>
PrimitiveId -> m (Maybe QName)
getPrimitiveName' PrimitiveId
builtinHComp
       Maybe QName
mSub   <- BuiltinId -> m (Maybe QName)
forall (m :: * -> *). HasBuiltins m => BuiltinId -> m (Maybe QName)
getBuiltinName' BuiltinId
builtinSub
       Maybe Term
mUnglueU <- PrimitiveId -> m (Maybe Term)
forall (m :: * -> *).
HasBuiltins m =>
PrimitiveId -> m (Maybe Term)
getPrimitiveTerm' PrimitiveId
builtin_unglueU
       Maybe Term
mSubIn   <- BuiltinId -> m (Maybe Term)
forall (m :: * -> *). HasBuiltins m => BuiltinId -> m (Maybe Term)
getBuiltin' BuiltinId
builtinSubIn
       case Term
ty of
         Def QName
q Elims
es | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mIsOne -> () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()
         Def QName
q Elims
es | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mGlue, Just args :: [Arg Term]
args@(Arg Term
l:Arg Term
_:Arg Term
a:Arg Term
phi:[Arg Term]
_) <- Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
es -> do
              Type
aty <- m Term -> m Term -> m Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' (Term -> m Term
forall a. a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (Term -> m Term) -> Term -> m Term
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
l) (Term -> m Term
forall a. a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (Term -> m Term) -> Term -> m Term
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
a)
              Term
unglue <- m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
prim_unglue
              let mkUnglue :: Term -> Term
mkUnglue Term
m = Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
apply Term
unglue ([Arg Term] -> Term) -> [Arg Term] -> Term
forall a b. (a -> b) -> a -> b
$ (Arg Term -> Arg Term) -> [Arg Term] -> [Arg Term]
forall a b. (a -> b) -> [a] -> [b]
map (Hiding -> Arg Term -> Arg Term
forall a. LensHiding a => Hiding -> a -> a
setHiding Hiding
Hidden) [Arg Term]
args [Arg Term] -> [Arg Term] -> [Arg Term]
forall a. [a] -> [a] -> [a]
++ [Term -> Arg Term
forall e. e -> Arg e
argN Term
m]
              String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"conv.glue" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ (Type, Term, Term) -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => (Type, Term, Term) -> m Doc
prettyTCM (Type
aty,Term -> Term
mkUnglue Term
m,Term -> Term
mkUnglue Term
n)

              -- Amy, 2023-01-04: Here and in hcompu below we *used to*
              -- also compare whatever the glued terms would evaluate to
              -- on φ. This is very loopy (consider φ = f i or φ = i0:
              -- both generate empty substitutions so get us back to
              -- exactly the same conversion problem)!
              --
              -- But is there a reason to do this comparison? The
              -- answer, it turns out, is no!
              --
              -- Suppose you had
              --    Γ ⊢ x = glue [φ → t] xb : Glue T S
              --    Γ ⊢ y = glue [φ → s] yb : Glue T S
              --    Γ ⊢ xb = yb : T
              -- Is there a need to check whether Γ φ ⊢ t = s : S? No!
              -- That's because the typing rule for glue is something like
              --   glue φ : (s : PartialP φ S) (t : T [ φ → s ]) → Glue T S
              -- where the bracket notation stands for an "implicit
              -- Sub"-type, i.e. Γ, φ ⊢ t = s (definitionally)
              --
              -- So if we have a glued element, and we have xb = yb, we
              -- can be sure that
              --   Γ , φ ⊢ t = xb = yb = s
              --
              -- But what about the general case, where we're not
              -- looking at a literal glue? Well, eta for Glue
              -- means x = glue [φ → x] (unglue x), so the logic above
              -- still applies. On φ, for the reducts to agree, it's
              -- enough for the bases to agree.

              Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm Comparison
cmp Type
aty (Term -> Term
mkUnglue Term
m) (Term -> Term
mkUnglue Term
n)
         Def QName
q Elims
es | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mHComp, Just (Arg Term
sl:Arg Term
s:args :: [Arg Term]
args@[Arg Term
phi,Arg Term
u,Arg Term
u0]) <- Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
es
                  , Sort (Type Level
lvl) <- Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
s
                  , Just Term
unglueU <- Maybe Term
mUnglueU, Just Term
subIn <- Maybe Term
mSubIn
                  -> do
              let l :: Term
l = Level -> Term
Level Level
lvl
              Type
ty <- m Term -> m Term -> m Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' (Term -> m Term
forall a. a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (Term -> m Term) -> Term -> m Term
forall a b. (a -> b) -> a -> b
$ Term
l) (Term -> m Term
forall a. a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (Term -> m Term) -> Term -> m Term
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
u0)
              let bA :: Term
bA = Term
subIn Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
`apply` [Arg Term
sl,Arg Term
s,Arg Term
phi,Arg Term
u0]
              let mkUnglue :: Term -> Term
mkUnglue Term
m = Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
apply Term
unglueU ([Arg Term] -> Term) -> [Arg Term] -> Term
forall a b. (a -> b) -> a -> b
$ [Term -> Arg Term
forall e. e -> Arg e
argH Term
l] [Arg Term] -> [Arg Term] -> [Arg Term]
forall a. [a] -> [a] -> [a]
++ (Arg Term -> Arg Term) -> [Arg Term] -> [Arg Term]
forall a b. (a -> b) -> [a] -> [b]
map (Hiding -> Arg Term -> Arg Term
forall a. LensHiding a => Hiding -> a -> a
setHiding Hiding
Hidden) [Arg Term
phi,Arg Term
u]  [Arg Term] -> [Arg Term] -> [Arg Term]
forall a. [a] -> [a] -> [a]
++ [Term -> Arg Term
forall e. e -> Arg e
argH Term
bA,Term -> Arg Term
forall e. e -> Arg e
argN Term
m]
              String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"conv.hcompU" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ (Type, Term, Term) -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => (Type, Term, Term) -> m Doc
prettyTCM (Type
ty,Term -> Term
mkUnglue Term
m,Term -> Term
mkUnglue Term
n)
              Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm Comparison
cmp Type
ty (Term -> Term
mkUnglue Term
m) (Term -> Term
mkUnglue Term
n)
         Def QName
q Elims
es | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mSub, Just args :: [Arg Term]
args@(Arg Term
l:Arg Term
a:[Arg Term]
_) <- Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
es -> do
              Type
ty <- m Term -> m Term -> m Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' (Term -> m Term
forall a. a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (Term -> m Term) -> Term -> m Term
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
l) (Term -> m Term
forall a. a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (Term -> m Term) -> Term -> m Term
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
a)
              Term
out <- m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primSubOut
              let mkOut :: Term -> Term
mkOut Term
m = Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
apply Term
out ([Arg Term] -> Term) -> [Arg Term] -> Term
forall a b. (a -> b) -> a -> b
$ (Arg Term -> Arg Term) -> [Arg Term] -> [Arg Term]
forall a b. (a -> b) -> [a] -> [b]
map (Hiding -> Arg Term -> Arg Term
forall a. LensHiding a => Hiding -> a -> a
setHiding Hiding
Hidden) [Arg Term]
args [Arg Term] -> [Arg Term] -> [Arg Term]
forall a. [a] -> [a] -> [a]
++ [Term -> Arg Term
forall e. e -> Arg e
argN Term
m]
              Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm Comparison
cmp Type
ty (Term -> Term
mkOut Term
m) (Term -> Term
mkOut Term
n)
         Def QName
q [] | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mI -> Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareInterval Comparison
cmp Type
a' Term
m Term
n
         Term
_ -> Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
cmp (Type -> CompareAs
AsTermsOf Type
a') Term
m Term
n

compareAtomDir :: MonadConversion m => CompareDirection -> CompareAs -> Term -> Term -> m ()
compareAtomDir :: forall (m :: * -> *).
MonadConversion m =>
CompareDirection -> CompareAs -> Term -> Term -> m ()
compareAtomDir CompareDirection
dir CompareAs
a = (Comparison -> Term -> Term -> m ())
-> CompareDirection -> Term -> Term -> m ()
forall a c.
(Comparison -> a -> a -> c) -> CompareDirection -> a -> a -> c
dirToCmp (Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
`compareAtom` CompareAs
a) CompareDirection
dir

-- | Compute the head type of an elimination. For projection-like functions
--   this requires inferring the type of the principal argument.
computeElimHeadType :: MonadConversion m => QName -> Elims -> Elims -> m Type
computeElimHeadType :: forall (m :: * -> *).
MonadConversion m =>
QName -> Elims -> Elims -> m Type
computeElimHeadType QName
f [] Elims
es' = QName -> Elims -> m Type
forall (m :: * -> *).
(PureTCM m, MonadBlock m) =>
QName -> Elims -> m Type
computeDefType QName
f Elims
es'
computeElimHeadType QName
f Elims
es Elims
_   = QName -> Elims -> m Type
forall (m :: * -> *).
(PureTCM m, MonadBlock m) =>
QName -> Elims -> m Type
computeDefType QName
f Elims
es

-- | Syntax directed equality on atomic values
--
compareAtom :: forall m. MonadConversion m => Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom :: forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
cmp CompareAs
t Term
m Term
n =
  String -> Int -> String -> m () -> m ()
forall a. String -> Int -> String -> m a -> m a
forall (m :: * -> *) a.
MonadDebug m =>
String -> Int -> String -> m a -> m a
verboseBracket String
"tc.conv.atom" Int
20 String
"compareAtom" (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$
  -- if a PatternErr is thrown, rebuild constraint!
  (Constraint -> m () -> m ()
forall (m :: * -> *).
MonadConstraint m =>
Constraint -> m () -> m ()
catchConstraint (Comparison -> CompareAs -> Term -> Term -> Constraint
ValueCmp Comparison
cmp CompareAs
t Term
m Term
n) :: m () -> m ()) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
    String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.atom.size" Int
50 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"compareAtom term size:  " String -> String -> String
forall a. [a] -> [a] -> [a]
++ (Int, Int) -> String
forall a. Show a => a -> String
show (Term -> Int
forall a. TermSize a => a -> Int
termSize Term
m, Term -> Int
forall a. TermSize a => a -> Int
termSize Term
n)
    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.atom" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
      TCMT IO Doc
"compareAtom" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [ Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
m TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Comparison -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Comparison -> m Doc
prettyTCM Comparison
cmp
                             , Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
n
                             , CompareAs -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => CompareAs -> m Doc
prettyTCM CompareAs
t
                             ]
    ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare by reduction"
    -- Are we currently defining mutual functions? Which?
    Set QName
currentMutuals <- m (Set QName)
-> (MutualId -> m (Set QName)) -> Maybe MutualId -> m (Set QName)
forall b a. b -> (a -> b) -> Maybe a -> b
maybe (Set QName -> m (Set QName)
forall a. a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Set QName
forall a. Set a
Set.empty) (MutualBlock -> Set QName
mutualNames (MutualBlock -> Set QName)
-> (MutualId -> m MutualBlock) -> MutualId -> m (Set QName)
forall (m :: * -> *) b c a.
Functor m =>
(b -> c) -> (a -> m b) -> a -> m c
<.> MutualId -> m MutualBlock
forall (tcm :: * -> *).
ReadTCState tcm =>
MutualId -> tcm MutualBlock
lookupMutualBlock) (Maybe MutualId -> m (Set QName))
-> m (Maybe MutualId) -> m (Set QName)
forall (m :: * -> *) a b. Monad m => (a -> m b) -> m a -> m b
=<< (TCEnv -> Maybe MutualId) -> m (Maybe MutualId)
forall (m :: * -> *) a. MonadTCEnv m => (TCEnv -> a) -> m a
asksTC TCEnv -> Maybe MutualId
envMutualBlock

    -- Andreas: what happens if I cut out the eta expansion here?
    -- Answer: Triggers issue 245, does not resolve 348
    (Blocked Term
mb',Blocked Term
nb') <- do
      Blocked Term
mb' <- Blocked Term -> m (Blocked Term)
forall (m :: * -> *) t.
(MonadReduce m, MonadMetaSolver m, IsMeta t, Reduce t) =>
Blocked t -> m (Blocked t)
etaExpandBlocked (Blocked Term -> m (Blocked Term))
-> m (Blocked Term) -> m (Blocked Term)
forall (m :: * -> *) a b. Monad m => (a -> m b) -> m a -> m b
=<< Term -> m (Blocked Term)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Term
m
      Blocked Term
nb' <- Blocked Term -> m (Blocked Term)
forall (m :: * -> *) t.
(MonadReduce m, MonadMetaSolver m, IsMeta t, Reduce t) =>
Blocked t -> m (Blocked t)
etaExpandBlocked (Blocked Term -> m (Blocked Term))
-> m (Blocked Term) -> m (Blocked Term)
forall (m :: * -> *) a b. Monad m => (a -> m b) -> m a -> m b
=<< Term -> m (Blocked Term)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Term
n
      (Blocked Term, Blocked Term) -> m (Blocked Term, Blocked Term)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (Blocked Term
mb', Blocked Term
nb')
    let blocker :: Blocker
blocker = Blocker -> Blocker -> Blocker
unblockOnEither (Blocked Term -> Blocker
forall t a. Blocked' t a -> Blocker
getBlocker Blocked Term
mb') (Blocked Term -> Blocker
forall t a. Blocked' t a -> Blocker
getBlocker Blocked Term
nb')
    String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.atom.size" Int
50 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"term size after reduce: " String -> String -> String
forall a. [a] -> [a] -> [a]
++ (Int, Int) -> String
forall a. Show a => a -> String
show (Term -> Int
forall a. TermSize a => a -> Int
termSize (Term -> Int) -> Term -> Int
forall a b. (a -> b) -> a -> b
$ Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
mb', Term -> Int
forall a. TermSize a => a -> Int
termSize (Term -> Int) -> Term -> Int
forall a b. (a -> b) -> a -> b
$ Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
nb')

    -- constructorForm changes literal to constructors
    -- only needed if the other side is not a literal
    (Blocked Term
mb'', Blocked Term
nb'') <- case (Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
mb', Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
nb') of
      (Lit Literal
_, Lit Literal
_) -> (Blocked Term, Blocked Term) -> m (Blocked Term, Blocked Term)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (Blocked Term
mb', Blocked Term
nb')
      (Term, Term)
_ -> (,) (Blocked Term -> Blocked Term -> (Blocked Term, Blocked Term))
-> m (Blocked Term)
-> m (Blocked Term -> (Blocked Term, Blocked Term))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> (Term -> m Term) -> Blocked Term -> m (Blocked Term)
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> Blocked' Term a -> f (Blocked' Term b)
traverse Term -> m Term
forall (m :: * -> *). HasBuiltins m => Term -> m Term
constructorForm Blocked Term
mb'
               m (Blocked Term -> (Blocked Term, Blocked Term))
-> m (Blocked Term) -> m (Blocked Term, Blocked Term)
forall a b. m (a -> b) -> m a -> m b
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> (Term -> m Term) -> Blocked Term -> m (Blocked Term)
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> Blocked' Term a -> f (Blocked' Term b)
traverse Term -> m Term
forall (m :: * -> *). HasBuiltins m => Term -> m Term
constructorForm Blocked Term
nb'

    Blocked Term
mb <- (Term -> m Term) -> Blocked Term -> m (Blocked Term)
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> Blocked' Term a -> f (Blocked' Term b)
traverse Term -> m Term
forall (m :: * -> *). HasBuiltins m => Term -> m Term
unLevel Blocked Term
mb''
    Blocked Term
nb <- (Term -> m Term) -> Blocked Term -> m (Blocked Term)
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> Blocked' Term a -> f (Blocked' Term b)
traverse Term -> m Term
forall (m :: * -> *). HasBuiltins m => Term -> m Term
unLevel Blocked Term
nb''

    Bool
cmpBlocked <- Lens' TCEnv Bool -> m Bool
forall (m :: * -> *) a. MonadTCEnv m => Lens' TCEnv a -> m a
viewTC (Bool -> f Bool) -> TCEnv -> f TCEnv
Lens' TCEnv Bool
eCompareBlocked

    let m :: Term
m = Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
mb
        n :: Term
n = Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
nb

        checkDefinitionalEquality :: m ()
checkDefinitionalEquality = m Bool -> m () -> m ()
forall (m :: * -> *). Monad m => m Bool -> m () -> m ()
unlessM (Comparison -> CompareAs -> Term -> Term -> m Bool
forall (m :: * -> *).
(PureTCM m, MonadBlock m) =>
Comparison -> CompareAs -> Term -> Term -> m Bool
pureCompareAs Comparison
CmpEq CompareAs
t Term
m Term
n) m ()
notEqual

        notEqual :: m ()
notEqual = TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Term -> Term -> CompareAs -> TypeError
UnequalTerms Comparison
cmp Term
m Term
n CompareAs
t

        dir :: CompareDirection
dir = Comparison -> CompareDirection
fromCmp Comparison
cmp
        rid :: CompareDirection
rid = CompareDirection -> CompareDirection
flipCmp CompareDirection
dir     -- The reverse direction.  Bad name, I know.

        assign :: CompareDirection -> MetaId -> Elims -> Term -> m ()
assign CompareDirection
dir MetaId
x Elims
es Term
v = CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
assignE CompareDirection
dir MetaId
x Elims
es Term
v CompareAs
t ((Term -> Term -> m ()) -> m ()) -> (Term -> Term -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ CompareDirection -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection -> CompareAs -> Term -> Term -> m ()
compareAtomDir CompareDirection
dir CompareAs
t

    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.atom" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
      TCMT IO Doc
"compareAtom" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [ Blocked Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Blocked Term -> m Doc
prettyTCM Blocked Term
mb TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Comparison -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Comparison -> m Doc
prettyTCM Comparison
cmp
                             , Blocked Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Blocked Term -> m Doc
prettyTCM Blocked Term
nb
                             , CompareAs -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => CompareAs -> m Doc
prettyTCM CompareAs
t
                             ]
    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.atom" Int
80 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
      TCMT IO Doc
"compareAtom" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [ Blocked Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Blocked Term
mb TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Comparison -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Comparison -> m Doc
prettyTCM Comparison
cmp
                                  , Blocked Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Blocked Term
nb
                                  , TCMT IO Doc
":" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> CompareAs -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty CompareAs
t ]
    case (Blocked Term
mb, Blocked Term
nb) of
      -- equate two metas x and y.  if y is the younger meta,
      -- try first y := x and then x := y
      (Blocked Term, Blocked Term)
_ | MetaV MetaId
x Elims
xArgs <- Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
mb,   -- Can be either Blocked or NotBlocked depending on
          MetaV MetaId
y Elims
yArgs <- Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
nb -> -- envCompareBlocked check above.
        Comparison
-> CompareAs -> MetaId -> Elims -> MetaId -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison
-> CompareAs -> MetaId -> Elims -> MetaId -> Elims -> m ()
compareMetas Comparison
cmp CompareAs
t MetaId
x Elims
xArgs MetaId
y Elims
yArgs

      -- one side a meta
      (Blocked Term, Blocked Term)
_ | MetaV MetaId
x Elims
es <- Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
mb -> CompareDirection -> MetaId -> Elims -> Term -> m ()
assign CompareDirection
dir MetaId
x Elims
es Term
n
      (Blocked Term, Blocked Term)
_ | MetaV MetaId
x Elims
es <- Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
nb -> CompareDirection -> MetaId -> Elims -> Term -> m ()
assign CompareDirection
rid MetaId
x Elims
es Term
m
      (Blocked{}, Blocked{}) | Bool -> Bool
not Bool
cmpBlocked  -> m ()
checkDefinitionalEquality
      (Blocked Blocker
b Term
_, Blocked Term
_) | Bool -> Bool
not Bool
cmpBlocked -> CompareDirection -> Blocker -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection -> Blocker -> CompareAs -> Term -> Term -> m ()
useInjectivity (Comparison -> CompareDirection
fromCmp Comparison
cmp) Blocker
b CompareAs
t Term
m Term
n   -- The blocked term  goes first
      (Blocked Term
_, Blocked Blocker
b Term
_) | Bool -> Bool
not Bool
cmpBlocked -> CompareDirection -> Blocker -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection -> Blocker -> CompareAs -> Term -> Term -> m ()
useInjectivity (CompareDirection -> CompareDirection
flipCmp (CompareDirection -> CompareDirection)
-> CompareDirection -> CompareDirection
forall a b. (a -> b) -> a -> b
$ Comparison -> CompareDirection
fromCmp Comparison
cmp) Blocker
b CompareAs
t Term
n Term
m
      (Blocked Term, Blocked Term)
bs -> do
        Blocker -> m () -> m ()
forall (m :: * -> *) a. MonadError TCErr m => Blocker -> m a -> m a
blockOnError Blocker
blocker (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
        -- -- Andreas, 2013-10-20 put projection-like function
        -- -- into the spine, to make compareElims work.
        -- -- 'False' means: leave (Def f []) unchanged even for
        -- -- proj-like funs.
        -- m <- elimView False m
        -- n <- elimView False n
        -- Andreas, 2015-07-01, actually, don't put them into the spine.
        -- Polarity cannot be communicated properly if projection-like
        -- functions are post-fix.
        case (Term
m, Term
n) of
          (Pi{}, Pi{}) -> Term -> Term -> m ()
equalFun Term
m Term
n

          (Sort Sort
s1, Sort Sort
s2) ->
            m Bool -> m () -> m () -> m ()
forall (m :: * -> *) a. Monad m => m Bool -> m a -> m a -> m a
ifM (PragmaOptions -> Bool
optCumulativity (PragmaOptions -> Bool) -> m PragmaOptions -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> m PragmaOptions
forall (m :: * -> *). HasOptions m => m PragmaOptions
pragmaOptions)
              (Comparison -> Sort -> Sort -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Sort -> Sort -> m ()
compareSort Comparison
cmp Sort
s1 Sort
s2)
              (Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s1 Sort
s2)

          (Lit Literal
l1, Lit Literal
l2) | Literal
l1 Literal -> Literal -> Bool
forall a. Eq a => a -> a -> Bool
== Literal
l2 -> () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()
          (Var Int
i Elims
es, Var Int
i' Elims
es') | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== Int
i' -> do
              Type
a <- Int -> m Type
forall (m :: * -> *).
(Applicative m, MonadFail m, MonadTCEnv m) =>
Int -> m Type
typeOfBV Int
i
              -- Variables are invariant in their arguments
              [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [] [] Type
a (Int -> Term
var Int
i) Elims
es Elims
es'

          -- The case of definition application:
          (Def QName
f Elims
es, Def QName
f' Elims
es') -> do

              -- 1. All absurd lambdas are equal.
              m Bool -> m () -> m ()
forall (m :: * -> *). Monad m => m Bool -> m () -> m ()
unlessM (QName -> QName -> m Bool
forall (m :: * -> *). MonadConversion m => QName -> QName -> m Bool
bothAbsurd QName
f QName
f') (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do

              -- 2. If the heads are unequal, the only chance is subtyping between SIZE and SIZELT.
              if QName
f QName -> QName -> Bool
forall a. Eq a => a -> a -> Bool
/= QName
f' then Comparison
-> CompareAs
-> Term
-> Term
-> QName
-> Elims
-> QName
-> Elims
-> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison
-> CompareAs
-> Term
-> Term
-> QName
-> Elims
-> QName
-> Elims
-> m ()
trySizeUniv Comparison
cmp CompareAs
t Term
m Term
n QName
f Elims
es QName
f' Elims
es' else do

              -- 3. If the heads are equal:
              -- 3a. If there are no arguments, we are done.
              Bool -> m () -> m ()
forall (f :: * -> *). Applicative f => Bool -> f () -> f ()
unless (Elims -> Bool
forall a. [a] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null Elims
es Bool -> Bool -> Bool
&& Elims -> Bool
forall a. [a] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null Elims
es') (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do

              -- 3b. If some cubical magic kicks in, we are done.
              m Bool -> m () -> m ()
forall (m :: * -> *). Monad m => m Bool -> m () -> m ()
unlessM (MonadConversion m => QName -> Elims -> Elims -> m Bool
QName -> Elims -> Elims -> m Bool
compareEtaPrims QName
f Elims
es Elims
es') (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do

              -- 3c. Oh no, we actually have to work and compare the eliminations!
               Type
a <- QName -> Elims -> Elims -> m Type
forall (m :: * -> *).
MonadConversion m =>
QName -> Elims -> Elims -> m Type
computeElimHeadType QName
f Elims
es Elims
es'
               -- The polarity vector of projection-like functions
               -- does not include the parameters.
               [Polarity]
pol <- Comparison -> QName -> m [Polarity]
forall (m :: * -> *).
HasConstInfo m =>
Comparison -> QName -> m [Polarity]
getPolarity' Comparison
cmp QName
f
               [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [Polarity]
pol [] Type
a (QName -> Elims -> Term
Def QName
f []) Elims
es Elims
es'

          -- Due to eta-expansion, these constructors are fully applied.
          (Con ConHead
x ConInfo
ci Elims
xArgs, Con ConHead
y ConInfo
_ Elims
yArgs)
              | ConHead
x ConHead -> ConHead -> Bool
forall a. Eq a => a -> a -> Bool
== ConHead
y -> do
                  -- Get the type of the constructor instantiated to the datatype parameters.
                  Type
a' <- case CompareAs
t of
                    AsTermsOf Type
a -> ConHead -> Type -> m Type
forall {m :: * -> *}.
(MonadBlock m, PureTCM m) =>
ConHead -> Type -> m Type
conType ConHead
x Type
a
                    CompareAs
AsSizes   -> m Type
forall a. HasCallStack => a
__IMPOSSIBLE__
                    CompareAs
AsTypes   -> m Type
forall a. HasCallStack => a
__IMPOSSIBLE__
                  [IsForced]
forcedArgs <- QName -> m [IsForced]
forall (m :: * -> *). HasConstInfo m => QName -> m [IsForced]
getForcedArgs (QName -> m [IsForced]) -> QName -> m [IsForced]
forall a b. (a -> b) -> a -> b
$ ConHead -> QName
conName ConHead
x
                  -- Constructors are covariant in their arguments
                  -- (see test/succeed/CovariantConstructors).
                  [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims (Polarity -> [Polarity]
forall a. a -> [a]
repeat (Polarity -> [Polarity]) -> Polarity -> [Polarity]
forall a b. (a -> b) -> a -> b
$ Comparison -> Polarity
polFromCmp Comparison
cmp) [IsForced]
forcedArgs Type
a' (ConHead -> ConInfo -> Elims -> Term
Con ConHead
x ConInfo
ci []) Elims
xArgs Elims
yArgs
          (Term, Term)
_ -> m ()
notEqual
    where
        -- returns True in case we handled the comparison already.
        compareEtaPrims :: MonadConversion m => QName -> Elims -> Elims -> m Bool
        compareEtaPrims :: MonadConversion m => QName -> Elims -> Elims -> m Bool
compareEtaPrims QName
q Elims
es Elims
es' = do
          Maybe QName
munglue <- PrimitiveId -> m (Maybe QName)
forall (m :: * -> *).
HasBuiltins m =>
PrimitiveId -> m (Maybe QName)
getPrimitiveName' PrimitiveId
builtin_unglue
          Maybe QName
munglueU <- PrimitiveId -> m (Maybe QName)
forall (m :: * -> *).
HasBuiltins m =>
PrimitiveId -> m (Maybe QName)
getPrimitiveName' PrimitiveId
builtin_unglueU
          Maybe QName
msubout <- PrimitiveId -> m (Maybe QName)
forall (m :: * -> *).
HasBuiltins m =>
PrimitiveId -> m (Maybe QName)
getPrimitiveName' PrimitiveId
builtinSubOut
          case () of
            ()
_ | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
munglue -> QName -> Elims -> Elims -> m Bool
compareUnglueApp QName
q Elims
es Elims
es'
            ()
_ | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
munglueU -> MonadConversion m => QName -> Elims -> Elims -> m Bool
QName -> Elims -> Elims -> m Bool
compareUnglueUApp QName
q Elims
es Elims
es'
            ()
_ | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
msubout -> QName -> Elims -> Elims -> m Bool
compareSubApp QName
q Elims
es Elims
es'
            ()
_                     -> Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
False
        compareSubApp :: QName -> Elims -> Elims -> m Bool
compareSubApp QName
q Elims
es Elims
es' = do
          let (Elims
as,Elims
bs) = Int -> Elims -> (Elims, Elims)
forall a. Int -> [a] -> ([a], [a])
splitAt Int
5 Elims
es; (Elims
as',Elims
bs') = Int -> Elims -> (Elims, Elims)
forall a. Int -> [a] -> ([a], [a])
splitAt Int
5 Elims
es'
          case (Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
as, Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
as') of
            (Just [Arg Term
a,Arg Term
bA,Arg Term
phi,Arg Term
u,Arg Term
x], Just [Arg Term
a',Arg Term
bA',Arg Term
phi',Arg Term
u',Arg Term
x']) -> do
              Term
tSub <- m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primSub
              -- Andrea, 28-07-16:
              -- comparing the types is most probably wasteful,
              -- since b and b' should be neutral terms, but it's a
              -- precondition for the compareAtom call to make
              -- sense.
              Type -> Type -> m ()
forall (m :: * -> *). MonadConversion m => Type -> Type -> m ()
equalType (Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El (Term -> Sort
tmSSort (Term -> Sort) -> Term -> Sort
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
a) (Term -> Type) -> Term -> Type
forall a b. (a -> b) -> a -> b
$ Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
apply Term
tSub ([Arg Term] -> Term) -> [Arg Term] -> Term
forall a b. (a -> b) -> a -> b
$ Arg Term
a Arg Term -> [Arg Term] -> [Arg Term]
forall a. a -> [a] -> [a]
: (Arg Term -> Arg Term) -> [Arg Term] -> [Arg Term]
forall a b. (a -> b) -> [a] -> [b]
map (Hiding -> Arg Term -> Arg Term
forall a. LensHiding a => Hiding -> a -> a
setHiding Hiding
NotHidden) [Arg Term
bA,Arg Term
phi,Arg Term
u])
                        (Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El (Term -> Sort
tmSSort (Term -> Sort) -> Term -> Sort
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
a) (Term -> Type) -> Term -> Type
forall a b. (a -> b) -> a -> b
$ Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
apply Term
tSub ([Arg Term] -> Term) -> [Arg Term] -> Term
forall a b. (a -> b) -> a -> b
$ Arg Term
a Arg Term -> [Arg Term] -> [Arg Term]
forall a. a -> [a] -> [a]
: (Arg Term -> Arg Term) -> [Arg Term] -> [Arg Term]
forall a b. (a -> b) -> [a] -> [b]
map (Hiding -> Arg Term -> Arg Term
forall a. LensHiding a => Hiding -> a -> a
setHiding Hiding
NotHidden) [Arg Term
bA',Arg Term
phi',Arg Term
u'])
              Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
cmp (Type -> CompareAs
AsTermsOf (Type -> CompareAs) -> Type -> CompareAs
forall a b. (a -> b) -> a -> b
$ Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El (Term -> Sort
tmSSort (Term -> Sort) -> Term -> Sort
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
a) (Term -> Type) -> Term -> Type
forall a b. (a -> b) -> a -> b
$ Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
apply Term
tSub ([Arg Term] -> Term) -> [Arg Term] -> Term
forall a b. (a -> b) -> a -> b
$ Arg Term
a Arg Term -> [Arg Term] -> [Arg Term]
forall a. a -> [a] -> [a]
: (Arg Term -> Arg Term) -> [Arg Term] -> [Arg Term]
forall a b. (a -> b) -> [a] -> [b]
map (Hiding -> Arg Term -> Arg Term
forall a. LensHiding a => Hiding -> a -> a
setHiding Hiding
NotHidden) [Arg Term
bA,Arg Term
phi,Arg Term
u])
                              (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
x) (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
x')
              [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [] [] (Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El (Term -> Sort
tmSort (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
a)) (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
bA)) (QName -> Elims -> Term
Def QName
q Elims
as) Elims
bs Elims
bs'
              Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
True
            (Maybe [Arg Term], Maybe [Arg Term])
_  -> Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
False
        compareUnglueApp :: QName -> Elims -> Elims -> m Bool
compareUnglueApp QName
q Elims
es Elims
es' = do
          let (Elims
as,Elims
bs) = Int -> Elims -> (Elims, Elims)
forall a. Int -> [a] -> ([a], [a])
splitAt Int
7 Elims
es; (Elims
as',Elims
bs') = Int -> Elims -> (Elims, Elims)
forall a. Int -> [a] -> ([a], [a])
splitAt Int
7 Elims
es'
          case (Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
as, Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
as') of
            (Just [Arg Term
la,Arg Term
lb,Arg Term
bA,Arg Term
phi,Arg Term
bT,Arg Term
e,Arg Term
b], Just [Arg Term
la',Arg Term
lb',Arg Term
bA',Arg Term
phi',Arg Term
bT',Arg Term
e',Arg Term
b']) -> do
              Term
tGlue <- PrimitiveId -> m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
PrimitiveId -> m Term
getPrimitiveTerm PrimitiveId
builtinGlue
              -- Andrea, 28-07-16:
              -- comparing the types is most probably wasteful,
              -- since b and b' should be neutral terms, but it's a
              -- precondition for the compareAtom call to make
              -- sense.
              -- equalType (El (tmSort (unArg lb)) $ apply tGlue $ [la,lb] ++ map (setHiding NotHidden) [bA,phi,bT,e])
              --           (El (tmSort (unArg lb')) $ apply tGlue $ [la',lb'] ++ map (setHiding NotHidden) [bA',phi',bT',e'])
              Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
cmp (Type -> CompareAs
AsTermsOf (Type -> CompareAs) -> Type -> CompareAs
forall a b. (a -> b) -> a -> b
$ Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El (Term -> Sort
tmSort (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
lb)) (Term -> Type) -> Term -> Type
forall a b. (a -> b) -> a -> b
$ Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
apply Term
tGlue ([Arg Term] -> Term) -> [Arg Term] -> Term
forall a b. (a -> b) -> a -> b
$ [Arg Term
la,Arg Term
lb] [Arg Term] -> [Arg Term] -> [Arg Term]
forall a. [a] -> [a] -> [a]
++ (Arg Term -> Arg Term) -> [Arg Term] -> [Arg Term]
forall a b. (a -> b) -> [a] -> [b]
map (Hiding -> Arg Term -> Arg Term
forall a. LensHiding a => Hiding -> a -> a
setHiding Hiding
NotHidden) [Arg Term
bA,Arg Term
phi,Arg Term
bT,Arg Term
e])
                              (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
b) (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
b')
              [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [] [] (Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El (Term -> Sort
tmSort (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
la)) (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
bA)) (QName -> Elims -> Term
Def QName
q Elims
as) Elims
bs Elims
bs'
              Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
True
            (Maybe [Arg Term], Maybe [Arg Term])
_  -> Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
False
        compareUnglueUApp :: MonadConversion m => QName -> Elims -> Elims -> m Bool
        compareUnglueUApp :: MonadConversion m => QName -> Elims -> Elims -> m Bool
compareUnglueUApp QName
q Elims
es Elims
es' = do
          let (Elims
as,Elims
bs) = Int -> Elims -> (Elims, Elims)
forall a. Int -> [a] -> ([a], [a])
splitAt Int
5 Elims
es; (Elims
as',Elims
bs') = Int -> Elims -> (Elims, Elims)
forall a. Int -> [a] -> ([a], [a])
splitAt Int
5 Elims
es'
          case (Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
as, Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
as') of
            (Just [Arg Term
la,Arg Term
phi,Arg Term
bT,Arg Term
bAS,Arg Term
b], Just [Arg Term
la',Arg Term
phi',Arg Term
bT',Arg Term
bA',Arg Term
b']) -> do
              Term
tHComp <- m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primHComp
              Term
tLSuc <- m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevelSuc
              Term
tSubOut <- m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primSubOut
              Term
iz <- m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primIZero
              let lsuc :: Term -> Term
lsuc Term
t = Term
tLSuc Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
`apply` [Term -> Arg Term
forall e. e -> Arg e
argN Term
t]
                  s :: Sort
s = Term -> Sort
tmSort (Term -> Sort) -> Term -> Sort
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
la
                  sucla :: Arg Term
sucla = Term -> Term
lsuc (Term -> Term) -> Arg Term -> Arg Term
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Arg Term
la
              Term
bA <- Names -> NamesT m Term -> m Term
forall (m :: * -> *) a. Names -> NamesT m a -> m a
runNamesT [] (NamesT m Term -> m Term) -> NamesT m Term -> m Term
forall a b. (a -> b) -> a -> b
$ do
                [NamesT m Term
la,NamesT m Term
phi,NamesT m Term
bT,NamesT m Term
bAS] <- (Arg Term -> NamesT m (NamesT m Term))
-> [Arg Term] -> NamesT m [NamesT m Term]
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
(a -> m b) -> t a -> m (t b)
forall (m :: * -> *) a b. Monad m => (a -> m b) -> [a] -> m [b]
mapM (Term -> NamesT m (NamesT m Term)
forall (m :: * -> *) a.
(MonadFail m, Subst a) =>
a -> NamesT m (NamesT m a)
open (Term -> NamesT m (NamesT m Term))
-> (Arg Term -> Term) -> Arg Term -> NamesT m (NamesT m Term)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Arg Term -> Term
forall e. Arg e -> e
unArg) [Arg Term
la,Arg Term
phi,Arg Term
bT,Arg Term
bAS]
                (Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
tSubOut NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> (Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
tLSuc NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
la) NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> (Sort -> Term
Sort (Sort -> Term) -> (Term -> Sort) -> Term -> Term
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Sort
tmSort (Term -> Term) -> NamesT m Term -> NamesT m Term
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> NamesT m Term
la) NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
phi NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> (NamesT m Term
bT NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primIZero) NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
bAS)
              Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
cmp (Type -> CompareAs
AsTermsOf (Type -> CompareAs) -> Type -> CompareAs
forall a b. (a -> b) -> a -> b
$ Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El (Term -> Sort
tmSort (Term -> Sort) -> (Arg Term -> Term) -> Arg Term -> Sort
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Arg Term -> Term
forall e. Arg e -> e
unArg (Arg Term -> Sort) -> Arg Term -> Sort
forall a b. (a -> b) -> a -> b
$ Arg Term
sucla) (Term -> Type) -> Term -> Type
forall a b. (a -> b) -> a -> b
$ Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
apply Term
tHComp ([Arg Term] -> Term) -> [Arg Term] -> Term
forall a b. (a -> b) -> a -> b
$ [Arg Term
sucla, Term -> Arg Term
forall e. e -> Arg e
argH (Sort -> Term
Sort Sort
s), Arg Term
phi] [Arg Term] -> [Arg Term] -> [Arg Term]
forall a. [a] -> [a] -> [a]
++ [Term -> Arg Term
forall e. e -> Arg e
argH (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
bT), Term -> Arg Term
forall e. e -> Arg e
argH Term
bA])
                              (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
b) (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
b')
              [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [] [] (Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El Sort
s Term
bA) (QName -> Elims -> Term
Def QName
q Elims
as) Elims
bs Elims
bs'
              Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
True
            (Maybe [Arg Term], Maybe [Arg Term])
_  -> Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
False
        -- Andreas, 2013-05-15 due to new postponement strategy, type can now be blocked
        conType :: ConHead -> Type -> m Type
conType ConHead
c Type
t = do
          Type
t <- Type -> m Type
forall (m :: * -> *) t.
(MonadReduce m, MonadBlock m, IsMeta t, Reduce t) =>
t -> m t
abortIfBlocked Type
t
          let impossible :: m Type
impossible = do
                String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"impossible" Int
10 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
                  TCMT IO Doc
"expected data/record type, found " TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
t
                String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"impossible" Int
70 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"raw =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Type
t
                -- __IMPOSSIBLE__
                -- Andreas, 2013-10-20:  in case termination checking fails
                -- we might get some unreduced types here.
                -- In issue 921, this happens during the final attempt
                -- to solve left-over constraints.
                -- Thus, instead of crashing, just give up gracefully.
                Blocker -> m Type
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
neverUnblock
          m Type
-> (((QName, Type, [Arg Term]), Type) -> m Type)
-> Maybe ((QName, Type, [Arg Term]), Type)
-> m Type
forall b a. b -> (a -> b) -> Maybe a -> b
maybe m Type
impossible (Type -> m Type
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (Type -> m Type)
-> (((QName, Type, [Arg Term]), Type) -> Type)
-> ((QName, Type, [Arg Term]), Type)
-> m Type
forall b c a. (b -> c) -> (a -> b) -> a -> c
. ((QName, Type, [Arg Term]), Type) -> Type
forall a b. (a, b) -> b
snd) (Maybe ((QName, Type, [Arg Term]), Type) -> m Type)
-> m (Maybe ((QName, Type, [Arg Term]), Type)) -> m Type
forall (m :: * -> *) a b. Monad m => (a -> m b) -> m a -> m b
=<< ConHead -> Type -> m (Maybe ((QName, Type, [Arg Term]), Type))
forall (m :: * -> *).
PureTCM m =>
ConHead -> Type -> m (Maybe ((QName, Type, [Arg Term]), Type))
getFullyAppliedConType ConHead
c Type
t
        equalFun :: Term -> Term -> m ()
equalFun Term
t1 Term
t2 = case (Term
t1, Term
t2) of
          (Pi Dom Type
dom1 Abs Type
b1, Pi Dom Type
dom2 Abs Type
b2) -> do
            String -> Int -> String -> m () -> m ()
forall a. String -> Int -> String -> m a -> m a
forall (m :: * -> *) a.
MonadDebug m =>
String -> Int -> String -> m a -> m a
verboseBracket String
"tc.conv.fun" Int
15 String
"compare function types" (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
              String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.fun" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
                [ TCMT IO Doc
"t1 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
t1
                , TCMT IO Doc
"t2 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
t2
                ]
              Comparison
-> Dom Type
-> Dom Type
-> Abs Type
-> Abs Type
-> m ()
-> m ()
-> m ()
-> m ()
-> m ()
-> m ()
-> m ()
forall (m :: * -> *) c b.
(MonadConversion m, Free c) =>
Comparison
-> Dom Type
-> Dom Type
-> Abs b
-> Abs c
-> m ()
-> m ()
-> m ()
-> m ()
-> m ()
-> m ()
-> m ()
compareDom Comparison
cmp Dom Type
dom2 Dom Type
dom1 Abs Type
b1 Abs Type
b2 m ()
errH m ()
errR m ()
errQ m ()
errC m ()
errF (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$
                Comparison -> Type -> Type -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Type -> m ()
compareType Comparison
cmp (Abs Type -> Type
forall a. Subst a => Abs a -> a
absBody Abs Type
b1) (Abs Type -> Type
forall a. Subst a => Abs a -> a
absBody Abs Type
b2)
            where
            errH :: m ()
errH = TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Term -> Term -> TypeError
UnequalHiding Term
t1 Term
t2
            errR :: m ()
errR = TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Term -> Term -> TypeError
UnequalRelevance Comparison
cmp Term
t1 Term
t2
            errQ :: m ()
errQ = TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Term -> Term -> TypeError
UnequalQuantity  Comparison
cmp Term
t1 Term
t2
            errC :: m ()
errC = TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Term -> Term -> TypeError
UnequalCohesion Comparison
cmp Term
t1 Term
t2
            errF :: m ()
errF = TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Term -> Term -> TypeError
UnequalFiniteness Comparison
cmp Term
t1 Term
t2
          (Term, Term)
_ -> m ()
forall a. HasCallStack => a
__IMPOSSIBLE__

-- | Check whether @x xArgs `cmp` y yArgs@
compareMetas :: MonadConversion m => Comparison -> CompareAs -> MetaId -> Elims -> MetaId -> Elims -> m ()
compareMetas :: forall (m :: * -> *).
MonadConversion m =>
Comparison
-> CompareAs -> MetaId -> Elims -> MetaId -> Elims -> m ()
compareMetas Comparison
cmp CompareAs
t MetaId
x Elims
xArgs MetaId
y Elims
yArgs | MetaId
x MetaId -> MetaId -> Bool
forall a. Eq a => a -> a -> Bool
== MetaId
y = Blocker -> m () -> m ()
forall (m :: * -> *) a. MonadError TCErr m => Blocker -> m a -> m a
blockOnError (MetaId -> Blocker
unblockOnMeta MetaId
x) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
  Bool
cmpBlocked <- Lens' TCEnv Bool -> m Bool
forall (m :: * -> *) a. MonadTCEnv m => Lens' TCEnv a -> m a
viewTC (Bool -> f Bool) -> TCEnv -> f TCEnv
Lens' TCEnv Bool
eCompareBlocked
  let ok :: m ()
ok    = () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()
      notOk :: m a
notOk = Blocker -> m a
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
neverUnblock
      fallback :: m ()
fallback = do
        -- Fallback: check definitional equality
        Type
a <- MetaId -> m Type
forall (m :: * -> *). ReadTCState m => MetaId -> m Type
metaType MetaId
x
        PureConversionT m () -> m (Maybe ())
forall (m :: * -> *) a.
(MonadBlock m, PureTCM m) =>
PureConversionT m a -> m (Maybe a)
runPureConversion ([Polarity]
-> [IsForced]
-> Type
-> Term
-> Elims
-> Elims
-> PureConversionT m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [] [] Type
a (MetaId -> Elims -> Term
MetaV MetaId
x []) Elims
xArgs Elims
yArgs) m (Maybe ()) -> (Maybe () -> m ()) -> m ()
forall a b. m a -> (a -> m b) -> m b
forall (m :: * -> *) a b. Monad m => m a -> (a -> m b) -> m b
>>= \case
          Just{}  -> m ()
ok
          Maybe ()
Nothing -> m ()
forall {a}. m a
notOk
  if | Bool
cmpBlocked -> do
         Type
a <- MetaId -> m Type
forall (m :: * -> *). ReadTCState m => MetaId -> m Type
metaType MetaId
x
         [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [] [] Type
a (MetaId -> Elims -> Term
MetaV MetaId
x []) Elims
xArgs Elims
yArgs
     | Bool
otherwise -> case Elims -> Elims -> Maybe [Bool]
intersectVars Elims
xArgs Elims
yArgs of
         -- all relevant arguments are variables
         Just [Bool]
kills -> do
           -- kills is a list with 'True' for each different var
           PruneResult
killResult <- [Bool] -> MetaId -> m PruneResult
forall (m :: * -> *).
MonadMetaSolver m =>
[Bool] -> MetaId -> m PruneResult
killArgs [Bool]
kills MetaId
x
           case PruneResult
killResult of
             PruneResult
NothingToPrune   -> m ()
ok
             PruneResult
PrunedEverything -> m ()
ok
             PruneResult
PrunedNothing    -> m ()
fallback
             PruneResult
PrunedSomething  -> m ()
fallback
         -- not all relevant arguments are variables
         Maybe [Bool]
Nothing -> m ()
fallback
compareMetas Comparison
cmp CompareAs
t MetaId
x Elims
xArgs MetaId
y Elims
yArgs = do
  [MetaPriority
p1, MetaPriority
p2] <- (MetaId -> m MetaPriority) -> [MetaId] -> m [MetaPriority]
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
(a -> m b) -> t a -> m (t b)
forall (m :: * -> *) a b. Monad m => (a -> m b) -> [a] -> m [b]
mapM MetaId -> m MetaPriority
forall (m :: * -> *).
(HasCallStack, MonadDebug m, ReadTCState m) =>
MetaId -> m MetaPriority
getMetaPriority [MetaId
x,MetaId
y]
  let dir :: CompareDirection
dir = Comparison -> CompareDirection
fromCmp Comparison
cmp
      rid :: CompareDirection
rid = CompareDirection -> CompareDirection
flipCmp CompareDirection
dir     -- The reverse direction.  Bad name, I know.
      retry :: m a
retry = Blocker -> m a
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
alwaysUnblock
  -- First try the one with the highest priority. If that doesn't
  -- work, try the low priority one.
  let (m ()
solve1, m ()
solve2)
        | (MetaPriority
p1, MetaId
x) (MetaPriority, MetaId) -> (MetaPriority, MetaId) -> Bool
forall a. Ord a => a -> a -> Bool
> (MetaPriority
p2, MetaId
y) = (m ()
l1, m ()
r2)
        | Bool
otherwise         = (m ()
r1, m ()
l2)
        where l1 :: m ()
l1 = CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
assignE CompareDirection
dir MetaId
x Elims
xArgs (MetaId -> Elims -> Term
MetaV MetaId
y Elims
yArgs) CompareAs
t ((Term -> Term -> m ()) -> m ()) -> (Term -> Term -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \ Term
_ Term
_ -> m ()
forall {a}. m a
retry
              r1 :: m ()
r1 = CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
assignE CompareDirection
rid MetaId
y Elims
yArgs (MetaId -> Elims -> Term
MetaV MetaId
x Elims
xArgs) CompareAs
t ((Term -> Term -> m ()) -> m ()) -> (Term -> Term -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \ Term
_ Term
_ -> m ()
forall {a}. m a
retry
              -- Careful: the first attempt might prune the low
              -- priority meta! (Issue #2978)
              l2 :: m ()
l2 = m Bool -> m () -> m () -> m ()
forall (m :: * -> *) a. Monad m => m Bool -> m a -> m a -> m a
ifM (MetaId -> m Bool
forall a (m :: * -> *).
(IsInstantiatedMeta a, MonadFail m, ReadTCState m) =>
a -> m Bool
forall (m :: * -> *).
(MonadFail m, ReadTCState m) =>
MetaId -> m Bool
isInstantiatedMeta MetaId
x) m ()
forall {a}. m a
retry m ()
l1
              r2 :: m ()
r2 = m Bool -> m () -> m () -> m ()
forall (m :: * -> *) a. Monad m => m Bool -> m a -> m a -> m a
ifM (MetaId -> m Bool
forall a (m :: * -> *).
(IsInstantiatedMeta a, MonadFail m, ReadTCState m) =>
a -> m Bool
forall (m :: * -> *).
(MonadFail m, ReadTCState m) =>
MetaId -> m Bool
isInstantiatedMeta MetaId
y) m ()
forall {a}. m a
retry m ()
r1

  -- Unblock on both unblockers of solve1 and solve2
  (Blocker -> m ()) -> m () -> m ()
forall a. (Blocker -> m a) -> m a -> m a
forall (m :: * -> *) a.
MonadBlock m =>
(Blocker -> m a) -> m a -> m a
catchPatternErr (Blocker -> m () -> m ()
forall (m :: * -> *) a.
(PureTCM m, MonadBlock m) =>
Blocker -> m a -> m a
`addOrUnblocker` m ()
solve2) m ()
solve1

-- | Check whether @a1 `cmp` a2@ and continue in context extended by @a1@.
compareDom :: (MonadConversion m , Free c)
  => Comparison -- ^ @cmp@ The comparison direction
  -> Dom Type   -- ^ @a1@  The smaller domain.
  -> Dom Type   -- ^ @a2@  The other domain.
  -> Abs b      -- ^ @b1@  The smaller codomain.
  -> Abs c      -- ^ @b2@  The bigger codomain.
  -> m ()     -- ^ Continuation if mismatch in 'Hiding'.
  -> m ()     -- ^ Continuation if mismatch in 'Relevance'.
  -> m ()     -- ^ Continuation if mismatch in 'Quantity'.
  -> m ()     -- ^ Continuation if mismatch in 'Cohesion'.
  -> m ()     -- ^ Continuation if mismatch in 'annFinite'.
  -> m ()     -- ^ Continuation if comparison is successful.
  -> m ()
compareDom :: forall (m :: * -> *) c b.
(MonadConversion m, Free c) =>
Comparison
-> Dom Type
-> Dom Type
-> Abs b
-> Abs c
-> m ()
-> m ()
-> m ()
-> m ()
-> m ()
-> m ()
-> m ()
compareDom Comparison
cmp0
  dom1 :: Dom Type
dom1@(Dom{domInfo :: forall t e. Dom' t e -> ArgInfo
domInfo = ArgInfo
i1, unDom :: forall t e. Dom' t e -> e
unDom = Type
a1})
  dom2 :: Dom Type
dom2@(Dom{domInfo :: forall t e. Dom' t e -> ArgInfo
domInfo = ArgInfo
i2, unDom :: forall t e. Dom' t e -> e
unDom = Type
a2})
  Abs b
b1 Abs c
b2 m ()
errH m ()
errR m ()
errQ m ()
errC m ()
errF m ()
cont = do
  if | Bool -> Bool
not (Bool -> Bool) -> Bool -> Bool
forall a b. (a -> b) -> a -> b
$ Dom Type -> Dom Type -> Bool
forall a b. (LensHiding a, LensHiding b) => a -> b -> Bool
sameHiding Dom Type
dom1 Dom Type
dom2 -> m ()
errH
     | Bool -> Bool
not (Bool -> Bool) -> Bool -> Bool
forall a b. (a -> b) -> a -> b
$ Relevance -> Relevance -> Bool
forall a. Eq a => a -> a -> Bool
(==)         (Dom Type -> Relevance
forall a. LensRelevance a => a -> Relevance
getRelevance Dom Type
dom1) (Dom Type -> Relevance
forall a. LensRelevance a => a -> Relevance
getRelevance Dom Type
dom2) -> m ()
errR
     | Bool -> Bool
not (Bool -> Bool) -> Bool -> Bool
forall a b. (a -> b) -> a -> b
$ Quantity -> Quantity -> Bool
sameQuantity (Dom Type -> Quantity
forall a. LensQuantity a => a -> Quantity
getQuantity  Dom Type
dom1) (Dom Type -> Quantity
forall a. LensQuantity a => a -> Quantity
getQuantity  Dom Type
dom2) -> m ()
errQ
     | Bool -> Bool
not (Bool -> Bool) -> Bool -> Bool
forall a b. (a -> b) -> a -> b
$ Cohesion -> Cohesion -> Bool
sameCohesion (Dom Type -> Cohesion
forall a. LensCohesion a => a -> Cohesion
getCohesion  Dom Type
dom1) (Dom Type -> Cohesion
forall a. LensCohesion a => a -> Cohesion
getCohesion  Dom Type
dom2) -> m ()
errC
     | Bool -> Bool
not (Bool -> Bool) -> Bool -> Bool
forall a b. (a -> b) -> a -> b
$ Dom Type -> Bool
forall t e. Dom' t e -> Bool
domIsFinite Dom Type
dom1 Bool -> Bool -> Bool
forall a. Eq a => a -> a -> Bool
== Dom Type -> Bool
forall t e. Dom' t e -> Bool
domIsFinite Dom Type
dom2 -> m ()
errF
     | Bool
otherwise -> do
      let r :: Relevance
r = Relevance -> Relevance -> Relevance
forall a. Ord a => a -> a -> a
max (Dom Type -> Relevance
forall a. LensRelevance a => a -> Relevance
getRelevance Dom Type
dom1) (Dom Type -> Relevance
forall a. LensRelevance a => a -> Relevance
getRelevance Dom Type
dom2)
              -- take "most irrelevant"
          dependent :: Bool
dependent = (Relevance
r Relevance -> Relevance -> Bool
forall a. Eq a => a -> a -> Bool
/= Relevance
Irrelevant) Bool -> Bool -> Bool
&& Abs c -> Bool
forall a. Free a => Abs a -> Bool
isBinderUsed Abs c
b2
      ProblemId
pid <- m () -> m ProblemId
forall (m :: * -> *) a.
(MonadFresh ProblemId m, MonadConstraint m) =>
m a -> m ProblemId
newProblem_ (m () -> m ProblemId) -> m () -> m ProblemId
forall a b. (a -> b) -> a -> b
$ Comparison -> Type -> Type -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Type -> m ()
compareType Comparison
cmp0 Type
a1 Type
a2
      Dom Type
dom <- if Bool
dependent
             then (\ Type
a -> Dom Type
dom1 {unDom = a}) (Type -> Dom Type) -> m Type -> m (Dom Type)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Type -> ProblemId -> m Type
forall (m :: * -> *).
(MonadMetaSolver m, MonadFresh Int m) =>
Type -> ProblemId -> m Type
blockTypeOnProblem Type
a1 ProblemId
pid
             else Dom Type -> m (Dom Type)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Dom Type
dom1
        -- We only need to require a1 == a2 if b2 is dependent
        -- If it's non-dependent it doesn't matter what we add to the context.
      let name :: String
name = [Suggestion] -> String
suggests [ Abs b -> Suggestion
forall a. Suggest a => a -> Suggestion
Suggestion Abs b
b1 , Abs c -> Suggestion
forall a. Suggest a => a -> Suggestion
Suggestion Abs c
b2 ]
      (String, Dom Type) -> m () -> m ()
forall b (m :: * -> *) a.
(AddContext b, MonadAddContext m) =>
b -> m a -> m a
forall (m :: * -> *) a.
MonadAddContext m =>
(String, Dom Type) -> m a -> m a
addContext (String
name, Dom Type
dom) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ m ()
cont
      ProblemId -> m ()
forall (m :: * -> *). MonadConstraint m => ProblemId -> m ()
stealConstraints ProblemId
pid
        -- Andreas, 2013-05-15 Now, comparison of codomains is not
        -- blocked any more by getting stuck on domains.
        -- Only the domain type in context will be blocked.
        -- But see issue #1258.

-- | When comparing argument spines (in compareElims) where the first arguments
--   don't match, we keep going, substituting the anti-unification of the two
--   terms in the telescope. More precisely:
--
--  @@
--    (u = v : A)[pid]   w = antiUnify pid A u v   us = vs : Δ[w/x]
--    -------------------------------------------------------------
--                    u us = v vs : (x : A) Δ
--  @@
--
--   The simplest case of anti-unification is to return a fresh metavariable
--   (created by blockTermOnProblem), but if there's shared structure between
--   the two terms we can expose that.
--
--   This is really a crutch that lets us get away with things that otherwise
--   would require heterogenous conversion checking. See for instance issue
--   #2384.
antiUnify :: MonadConversion m => ProblemId -> Type -> Term -> Term -> m Term
antiUnify :: forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Term -> m Term
antiUnify ProblemId
pid Type
a Term
u Term
v = do
  Term
-> Term
-> (Term -> Term -> m Term)
-> (Term -> Term -> m Term)
-> m Term
forall a (m :: * -> *) b.
(Instantiate a, SynEq a, MonadReduce m) =>
a -> a -> (a -> a -> m b) -> (a -> a -> m b) -> m b
SynEq.checkSyntacticEquality Term
u Term
v (\Term
u Term
_ -> Term -> m Term
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Term
u) ((Term -> Term -> m Term) -> m Term)
-> (Term -> Term -> m Term) -> m Term
forall a b. (a -> b) -> a -> b
$ \Term
u Term
v -> do
  (Term
u, Term
v) <- (Term, Term) -> m (Term, Term)
forall a (m :: * -> *). (Reduce a, MonadReduce m) => a -> m a
reduce (Term
u, Term
v)
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.antiUnify" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
    [ TCMT IO Doc
"antiUnify"
    , TCMT IO Doc
"a =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
a
    , TCMT IO Doc
"u =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
u
    , TCMT IO Doc
"v =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
v
    ]
  case (Term
u, Term
v) of
    (Pi Dom Type
ua Abs Type
ub, Pi Dom Type
va Abs Type
vb) -> do
      Type
wa0 <- ProblemId -> Type -> Type -> m Type
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Type -> m Type
antiUnifyType ProblemId
pid (Dom Type -> Type
forall t e. Dom' t e -> e
unDom Dom Type
ua) (Dom Type -> Type
forall t e. Dom' t e -> e
unDom Dom Type
va)
      let wa :: Dom Type
wa = Type
wa0 Type -> Dom Type -> Dom Type
forall a b. a -> Dom' Term b -> Dom' Term a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ Dom Type
ua
      Type
wb <- Dom Type -> m Type -> m Type
forall b (m :: * -> *) a.
(AddContext b, MonadAddContext m) =>
b -> m a -> m a
forall (m :: * -> *) a. MonadAddContext m => Dom Type -> m a -> m a
addContext Dom Type
wa (m Type -> m Type) -> m Type -> m Type
forall a b. (a -> b) -> a -> b
$ ProblemId -> Type -> Type -> m Type
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Type -> m Type
antiUnifyType ProblemId
pid (Abs Type -> Type
forall a. Subst a => Abs a -> a
absBody Abs Type
ub) (Abs Type -> Type
forall a. Subst a => Abs a -> a
absBody Abs Type
vb)
      Term -> m Term
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (Term -> m Term) -> Term -> m Term
forall a b. (a -> b) -> a -> b
$ Dom Type -> Abs Type -> Term
Pi Dom Type
wa (String -> Type -> Abs Type
forall a. (Subst a, Free a) => String -> a -> Abs a
mkAbs (Abs Type -> String
forall a. Abs a -> String
absName Abs Type
ub) Type
wb)
    (Lam ArgInfo
i Abs Term
u, Lam ArgInfo
_ Abs Term
v) ->
      Term -> m Term
forall a (m :: * -> *). (Reduce a, MonadReduce m) => a -> m a
reduce (Type -> Term
forall t a. Type'' t a -> a
unEl Type
a) m Term -> (Term -> m Term) -> m Term
forall a b. m a -> (a -> m b) -> m b
forall (m :: * -> *) a b. Monad m => m a -> (a -> m b) -> m b
>>= \case
        Pi Dom Type
a Abs Type
b -> ArgInfo -> Abs Term -> Term
Lam ArgInfo
i (Abs Term -> Term) -> (Term -> Abs Term) -> Term -> Term
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (String -> Term -> Abs Term
forall a. (Subst a, Free a) => String -> a -> Abs a
mkAbs (Abs Term -> String
forall a. Abs a -> String
absName Abs Term
u)) (Term -> Term) -> m Term -> m Term
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Dom Type -> m Term -> m Term
forall b (m :: * -> *) a.
(AddContext b, MonadAddContext m) =>
b -> m a -> m a
forall (m :: * -> *) a. MonadAddContext m => Dom Type -> m a -> m a
addContext Dom Type
a (ProblemId -> Type -> Term -> Term -> m Term
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Term -> m Term
antiUnify ProblemId
pid (Abs Type -> Type
forall a. Subst a => Abs a -> a
absBody Abs Type
b) (Abs Term -> Term
forall a. Subst a => Abs a -> a
absBody Abs Term
u) (Abs Term -> Term
forall a. Subst a => Abs a -> a
absBody Abs Term
v))
        Term
_      -> m Term
fallback
    (Var Int
i Elims
us, Var Int
j Elims
vs) | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== Int
j -> m Term -> m Term
maybeGiveUp (m Term -> m Term) -> m Term -> m Term
forall a b. (a -> b) -> a -> b
$ do
      Type
a <- Int -> m Type
forall (m :: * -> *).
(Applicative m, MonadFail m, MonadTCEnv m) =>
Int -> m Type
typeOfBV Int
i
      ProblemId -> Type -> Term -> Elims -> Elims -> m Term
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Elims -> Elims -> m Term
antiUnifyElims ProblemId
pid Type
a (Int -> Term
var Int
i) Elims
us Elims
vs
    -- Andreas, 2017-07-27:
    -- It seems that nothing guarantees here that the constructors are fully
    -- applied!?  Thus, @a@ could be a function type and we need the robust
    -- @getConType@ here.
    -- (Note that @patternViolation@ swallows exceptions coming from @getConType@
    -- thus, we would not see clearly if we used @getFullyAppliedConType@ instead.)
    (Con ConHead
x ConInfo
ci Elims
us, Con ConHead
y ConInfo
_ Elims
vs) | ConHead
x ConHead -> ConHead -> Bool
forall a. Eq a => a -> a -> Bool
== ConHead
y -> m Term -> m Term
maybeGiveUp (m Term -> m Term) -> m Term -> m Term
forall a b. (a -> b) -> a -> b
$ do
      Type
a <- m Type
-> (((QName, Type, [Arg Term]), Type) -> m Type)
-> Maybe ((QName, Type, [Arg Term]), Type)
-> m Type
forall b a. b -> (a -> b) -> Maybe a -> b
maybe m Type
forall {a}. m a
abort (Type -> m Type
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (Type -> m Type)
-> (((QName, Type, [Arg Term]), Type) -> Type)
-> ((QName, Type, [Arg Term]), Type)
-> m Type
forall b c a. (b -> c) -> (a -> b) -> a -> c
. ((QName, Type, [Arg Term]), Type) -> Type
forall a b. (a, b) -> b
snd) (Maybe ((QName, Type, [Arg Term]), Type) -> m Type)
-> m (Maybe ((QName, Type, [Arg Term]), Type)) -> m Type
forall (m :: * -> *) a b. Monad m => (a -> m b) -> m a -> m b
=<< ConHead -> Type -> m (Maybe ((QName, Type, [Arg Term]), Type))
forall (m :: * -> *).
(PureTCM m, MonadBlock m) =>
ConHead -> Type -> m (Maybe ((QName, Type, [Arg Term]), Type))
getConType ConHead
x Type
a
      ProblemId -> Type -> Term -> Elims -> Elims -> m Term
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Elims -> Elims -> m Term
antiUnifyElims ProblemId
pid Type
a (ConHead -> ConInfo -> Elims -> Term
Con ConHead
x ConInfo
ci []) Elims
us Elims
vs
    (Def QName
f [], Def QName
g []) | QName
f QName -> QName -> Bool
forall a. Eq a => a -> a -> Bool
== QName
g -> Term -> m Term
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (QName -> Elims -> Term
Def QName
f [])
    (Def QName
f Elims
us, Def QName
g Elims
vs) | QName
f QName -> QName -> Bool
forall a. Eq a => a -> a -> Bool
== QName
g, Elims -> Int
forall a. [a] -> Int
forall (t :: * -> *) a. Foldable t => t a -> Int
length Elims
us Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== Elims -> Int
forall a. [a] -> Int
forall (t :: * -> *) a. Foldable t => t a -> Int
length Elims
vs -> m Term -> m Term
maybeGiveUp (m Term -> m Term) -> m Term -> m Term
forall a b. (a -> b) -> a -> b
$ do
      Type
a <- QName -> Elims -> Elims -> m Type
forall (m :: * -> *).
MonadConversion m =>
QName -> Elims -> Elims -> m Type
computeElimHeadType QName
f Elims
us Elims
vs
      ProblemId -> Type -> Term -> Elims -> Elims -> m Term
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Elims -> Elims -> m Term
antiUnifyElims ProblemId
pid Type
a (QName -> Elims -> Term
Def QName
f []) Elims
us Elims
vs
    (Term, Term)
_ -> m Term
fallback
  where
    maybeGiveUp :: m Term -> m Term
maybeGiveUp = (Blocker -> m Term) -> m Term -> m Term
forall a. (Blocker -> m a) -> m a -> m a
forall (m :: * -> *) a.
MonadBlock m =>
(Blocker -> m a) -> m a -> m a
catchPatternErr ((Blocker -> m Term) -> m Term -> m Term)
-> (Blocker -> m Term) -> m Term -> m Term
forall a b. (a -> b) -> a -> b
$ \ Blocker
_ -> m Term
fallback
    abort :: m a
abort = Blocker -> m a
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
neverUnblock -- caught by maybeGiveUp
    fallback :: m Term
fallback = Type -> Term -> ProblemId -> m Term
forall (m :: * -> *).
(MonadMetaSolver m, MonadFresh Int m) =>
Type -> Term -> ProblemId -> m Term
blockTermOnProblem Type
a Term
u ProblemId
pid

antiUnifyArgs :: MonadConversion m => ProblemId -> Dom Type -> Arg Term -> Arg Term -> m (Arg Term)
antiUnifyArgs :: forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Dom Type -> Arg Term -> Arg Term -> m (Arg Term)
antiUnifyArgs ProblemId
pid Dom Type
dom Arg Term
u Arg Term
v
  | Bool -> Bool
not (Modality -> Modality -> Bool
forall a b. (LensModality a, LensModality b) => a -> b -> Bool
sameModality (Arg Term -> Modality
forall a. LensModality a => a -> Modality
getModality Arg Term
u) (Arg Term -> Modality
forall a. LensModality a => a -> Modality
getModality Arg Term
v))
              = Blocker -> m (Arg Term)
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
neverUnblock
  | Bool
otherwise = Arg Term -> m (Arg Term) -> m (Arg Term)
forall (tcm :: * -> *) m a.
(MonadTCEnv tcm, LensModality m) =>
m -> tcm a -> tcm a
applyModalityToContext Arg Term
u (m (Arg Term) -> m (Arg Term)) -> m (Arg Term) -> m (Arg Term)
forall a b. (a -> b) -> a -> b
$
    m Bool -> m (Arg Term) -> m (Arg Term) -> m (Arg Term)
forall (m :: * -> *) a. Monad m => m Bool -> m a -> m a -> m a
ifM (Dom Type -> m Bool
forall a (m :: * -> *).
(LensRelevance a, LensSort a, PrettyTCM a, PureTCM m,
 MonadBlock m) =>
a -> m Bool
isIrrelevantOrPropM Dom Type
dom)
    {-then-} (Arg Term -> m (Arg Term)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Arg Term
u)
    {-else-} ((Term -> Arg Term -> Arg Term
forall a b. a -> Arg b -> Arg a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ Arg Term
u) (Term -> Arg Term) -> m Term -> m (Arg Term)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> ProblemId -> Type -> Term -> Term -> m Term
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Term -> m Term
antiUnify ProblemId
pid (Dom Type -> Type
forall t e. Dom' t e -> e
unDom Dom Type
dom) (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
u) (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
v))

antiUnifyType :: MonadConversion m => ProblemId -> Type -> Type -> m Type
antiUnifyType :: forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Type -> m Type
antiUnifyType ProblemId
pid (El Sort
s Term
a) (El Sort
_ Term
b) = m Type -> m Type
forall (m :: * -> *) a.
(MonadTCEnv m, HasOptions m, MonadDebug m) =>
m a -> m a
workOnTypes (m Type -> m Type) -> m Type -> m Type
forall a b. (a -> b) -> a -> b
$ Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El Sort
s (Term -> Type) -> m Term -> m Type
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> ProblemId -> Type -> Term -> Term -> m Term
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Term -> m Term
antiUnify ProblemId
pid (Sort -> Type
sort Sort
s) Term
a Term
b

antiUnifyElims :: MonadConversion m => ProblemId -> Type -> Term -> Elims -> Elims -> m Term
antiUnifyElims :: forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Elims -> Elims -> m Term
antiUnifyElims ProblemId
pid Type
a Term
self [] [] = Term -> m Term
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Term
self
antiUnifyElims ProblemId
pid Type
a Term
self (Proj ProjOrigin
o QName
f : Elims
es1) (Proj ProjOrigin
_ QName
g : Elims
es2) | QName
f QName -> QName -> Bool
forall a. Eq a => a -> a -> Bool
== QName
g = do
  Maybe (Dom Type, Term, Type)
res <- Term
-> Type -> ProjOrigin -> QName -> m (Maybe (Dom Type, Term, Type))
forall (m :: * -> *).
PureTCM m =>
Term
-> Type -> ProjOrigin -> QName -> m (Maybe (Dom Type, Term, Type))
projectTyped Term
self Type
a ProjOrigin
o QName
f
  case Maybe (Dom Type, Term, Type)
res of
    Just (Dom Type
_, Term
self, Type
a) -> ProblemId -> Type -> Term -> Elims -> Elims -> m Term
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Elims -> Elims -> m Term
antiUnifyElims ProblemId
pid Type
a Term
self Elims
es1 Elims
es2
    Maybe (Dom Type, Term, Type)
Nothing -> Blocker -> m Term
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
neverUnblock -- can fail for projection like
antiUnifyElims ProblemId
pid Type
a Term
self (Apply Arg Term
u : Elims
es1) (Apply Arg Term
v : Elims
es2) = do
  Term -> m Term
forall a (m :: * -> *). (Reduce a, MonadReduce m) => a -> m a
reduce (Type -> Term
forall t a. Type'' t a -> a
unEl Type
a) m Term -> (Term -> m Term) -> m Term
forall a b. m a -> (a -> m b) -> m b
forall (m :: * -> *) a b. Monad m => m a -> (a -> m b) -> m b
>>= \case
    Pi Dom Type
a Abs Type
b -> do
      Arg Term
w <- ProblemId -> Dom Type -> Arg Term -> Arg Term -> m (Arg Term)
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Dom Type -> Arg Term -> Arg Term -> m (Arg Term)
antiUnifyArgs ProblemId
pid Dom Type
a Arg Term
u Arg Term
v
      ProblemId -> Type -> Term -> Elims -> Elims -> m Term
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Elims -> Elims -> m Term
antiUnifyElims ProblemId
pid (Abs Type
b Abs Type -> SubstArg Type -> Type
forall a. Subst a => Abs a -> SubstArg a -> a
`lazyAbsApp` Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
w) (Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
apply Term
self [Arg Term
w]) Elims
es1 Elims
es2
    Term
_ -> Blocker -> m Term
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
neverUnblock
antiUnifyElims ProblemId
_ Type
_ Term
_ Elims
_ Elims
_ = Blocker -> m Term
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
neverUnblock -- trigger maybeGiveUp in antiUnify

-- | @compareElims pols a v els1 els2@ performs type-directed equality on eliminator spines.
--   @t@ is the type of the head @v@.
compareElims :: forall m. MonadConversion m => [Polarity] -> [IsForced] -> Type -> Term -> [Elim] -> [Elim] -> m ()
compareElims :: forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [Polarity]
pols0 [IsForced]
fors0 Type
a Term
v Elims
els01 Elims
els02 =
  String -> Int -> String -> m () -> m ()
forall a. String -> Int -> String -> m a -> m a
forall (m :: * -> *) a.
MonadDebug m =>
String -> Int -> String -> m a -> m a
verboseBracket String
"tc.conv.elim" Int
20 String
"compareElims" (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$
  (Constraint -> m () -> m ()
forall (m :: * -> *).
MonadConstraint m =>
Constraint -> m () -> m ()
catchConstraint ([Polarity]
-> [IsForced] -> Type -> Term -> Elims -> Elims -> Constraint
ElimCmp [Polarity]
pols0 [IsForced]
fors0 Type
a Term
v Elims
els01 Elims
els02) :: m () -> m ()) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
  let v1 :: Term
v1 = Term -> Elims -> Term
forall t. Apply t => t -> Elims -> t
applyE Term
v Elims
els01
      v2 :: Term
v2 = Term -> Elims -> Term
forall t. Apply t => t -> Elims -> t
applyE Term
v Elims
els02
      failure :: m ()
failure = TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Term -> Term -> CompareAs -> TypeError
UnequalTerms Comparison
CmpEq Term
v1 Term
v2 (Type -> CompareAs
AsTermsOf Type
a)
        -- Andreas, 2013-03-15 since one of the spines is empty, @a@
        -- is the correct type here.
  Bool -> m () -> m ()
forall (f :: * -> *). Applicative f => Bool -> f () -> f ()
unless (Elims -> Bool
forall a. [a] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null Elims
els01) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.elim" Int
25 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"compareElims" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
$$ do
     Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
      [ TCMT IO Doc
"a     =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
a
      , TCMT IO Doc
"pols0 (truncated to 10) =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
hsep ((Polarity -> TCMT IO Doc) -> [Polarity] -> [TCMT IO Doc]
forall a b. (a -> b) -> [a] -> [b]
map Polarity -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Polarity -> m Doc
prettyTCM ([Polarity] -> [TCMT IO Doc]) -> [Polarity] -> [TCMT IO Doc]
forall a b. (a -> b) -> a -> b
$ Int -> [Polarity] -> [Polarity]
forall a. Int -> [a] -> [a]
take Int
10 [Polarity]
pols0)
      , TCMT IO Doc
"fors0 (truncated to 10) =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
hsep ((IsForced -> TCMT IO Doc) -> [IsForced] -> [TCMT IO Doc]
forall a b. (a -> b) -> [a] -> [b]
map IsForced -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => IsForced -> m Doc
prettyTCM ([IsForced] -> [TCMT IO Doc]) -> [IsForced] -> [TCMT IO Doc]
forall a b. (a -> b) -> a -> b
$ Int -> [IsForced] -> [IsForced]
forall a. Int -> [a] -> [a]
take Int
10 [IsForced]
fors0)
      , TCMT IO Doc
"v     =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
v
      , TCMT IO Doc
"els01 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Elims -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Elims -> m Doc
prettyTCM Elims
els01
      , TCMT IO Doc
"els02 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Elims -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Elims -> m Doc
prettyTCM Elims
els02
      ]
  case (Elims
els01, Elims
els02) of
    ([]         , []         ) -> () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()
    ([]         , Proj{}:Elims
_   ) -> m ()
failure -- not impossible, see issue 821
    (Proj{}  : Elims
_, []         ) -> m ()
failure -- could be x.p =?= x for projection p
    ([]         , Apply{} : Elims
_) -> m ()
failure -- not impossible, see issue 878
    (Apply{} : Elims
_, []         ) -> m ()
failure
    ([]         , IApply{} : Elims
_) -> m ()
failure
    (IApply{} : Elims
_, []         ) -> m ()
failure
    (Apply{} : Elims
_, Proj{}  : Elims
_) -> ()
forall a. HasCallStack => a
__IMPOSSIBLE__ () -> m () -> m ()
forall a b. a -> m b -> m a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ Bool -> m ()
forall (m :: * -> *). MonadConstraint m => Bool -> m ()
solveAwakeConstraints' Bool
True -- NB: popped up in issue 889
    (Proj{}  : Elims
_, Apply{} : Elims
_) -> ()
forall a. HasCallStack => a
__IMPOSSIBLE__ () -> m () -> m ()
forall a b. a -> m b -> m a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ Bool -> m ()
forall (m :: * -> *). MonadConstraint m => Bool -> m ()
solveAwakeConstraints' Bool
True -- but should be impossible (but again in issue 1467)
    (IApply{} : Elims
_, Proj{}  : Elims
_) -> ()
forall a. HasCallStack => a
__IMPOSSIBLE__ () -> m () -> m ()
forall a b. a -> m b -> m a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ Bool -> m ()
forall (m :: * -> *). MonadConstraint m => Bool -> m ()
solveAwakeConstraints' Bool
True
    (Proj{}  : Elims
_, IApply{} : Elims
_) -> ()
forall a. HasCallStack => a
__IMPOSSIBLE__ () -> m () -> m ()
forall a b. a -> m b -> m a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ Bool -> m ()
forall (m :: * -> *). MonadConstraint m => Bool -> m ()
solveAwakeConstraints' Bool
True
    (IApply{} : Elims
_, Apply{}  : Elims
_) -> ()
forall a. HasCallStack => a
__IMPOSSIBLE__ () -> m () -> m ()
forall a b. a -> m b -> m a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ Bool -> m ()
forall (m :: * -> *). MonadConstraint m => Bool -> m ()
solveAwakeConstraints' Bool
True
    (Apply{}  : Elims
_, IApply{} : Elims
_) -> ()
forall a. HasCallStack => a
__IMPOSSIBLE__ () -> m () -> m ()
forall a b. a -> m b -> m a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ Bool -> m ()
forall (m :: * -> *). MonadConstraint m => Bool -> m ()
solveAwakeConstraints' Bool
True
    (e :: Elim' Term
e@(IApply Term
x1 Term
y1 Term
r1) : Elims
els1, IApply Term
x2 Term
y2 Term
r2 : Elims
els2) -> do
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.elim" Int
25 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"compareElims IApply"
       -- Andrea: copying stuff from the Apply case..
      let (Polarity
pol, [Polarity]
pols) = [Polarity] -> (Polarity, [Polarity])
nextPolarity [Polarity]
pols0
      Type
a  <- Type -> m Type
forall (m :: * -> *) t.
(MonadReduce m, MonadBlock m, IsMeta t, Reduce t) =>
t -> m t
abortIfBlocked Type
a
      PathView
va <- Type -> m PathView
forall (m :: * -> *). HasBuiltins m => Type -> m PathView
pathView Type
a
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.elim.iapply" Int
60 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"compareElims IApply" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
$$ do
        Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"va =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text (Bool -> String
forall a. Show a => a -> String
show (PathView -> Bool
isPathType PathView
va))
      case PathView
va of
        PathType Sort
s QName
path Arg Term
l Arg Term
bA Arg Term
x Arg Term
y -> do
          Type
b <- m Type
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Type
primIntervalType
          Polarity
-> (Comparison -> Term -> Term -> m ()) -> Term -> Term -> m ()
forall (m :: * -> *) a.
MonadConversion m =>
Polarity -> (Comparison -> a -> a -> m ()) -> a -> a -> m ()
compareWithPol Polarity
pol ((Comparison -> Type -> Term -> Term -> m ())
-> Type -> Comparison -> Term -> Term -> m ()
forall a b c. (a -> b -> c) -> b -> a -> c
flip Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm Type
b)
                              Term
r1 Term
r2
          -- TODO: compare (x1,x2) and (y1,y2) ?
          let r :: Term
r = Term
r1 -- TODO Andrea:  do blocking
          Type
codom <- m Term -> m Term -> m Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' (Term -> m Term
forall a. a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (Term -> m Term) -> (Arg Term -> Term) -> Arg Term -> m Term
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Arg Term -> Term
forall e. Arg e -> e
unArg (Arg Term -> m Term) -> Arg Term -> m Term
forall a b. (a -> b) -> a -> b
$ Arg Term
l) ((Term -> m Term
forall a. a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (Term -> m Term) -> (Arg Term -> Term) -> Arg Term -> m Term
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Arg Term -> Term
forall e. Arg e -> e
unArg (Arg Term -> m Term) -> Arg Term -> m Term
forall a b. (a -> b) -> a -> b
$ Arg Term
bA) m Term -> m Term -> m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> Term -> m Term
forall a. a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
r)
          [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [Polarity]
pols [] Type
codom -- Path non-dependent (codom `lazyAbsApp` unArg arg)
                            (Term -> Elims -> Term
forall t. Apply t => t -> Elims -> t
applyE Term
v [Elim' Term
e]) Elims
els1 Elims
els2
        -- We allow for functions (i : I) -> ... to also be heads of a IApply,
        -- because @etaContract@ can produce such terms
        OType t :: Type
t@(El Sort
_ Pi{}) -> [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [Polarity]
pols0 [IsForced]
fors0 Type
t Term
v (Arg Term -> Elim' Term
forall a. Arg a -> Elim' a
Apply (Term -> Arg Term
forall e. e -> Arg e
defaultArg Term
r1) Elim' Term -> Elims -> Elims
forall a. a -> [a] -> [a]
: Elims
els1) (Arg Term -> Elim' Term
forall a. Arg a -> Elim' a
Apply (Term -> Arg Term
forall e. e -> Arg e
defaultArg Term
r2) Elim' Term -> Elims -> Elims
forall a. a -> [a] -> [a]
: Elims
els2)

        OType Type
t -> Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation (Type -> Blocker
forall t. AllMetas t => t -> Blocker
unblockOnAnyMetaIn Type
t) -- Can we get here? We know a is not blocked.

    (Apply Arg Term
arg1 : Elims
els1, Apply Arg Term
arg2 : Elims
els2) ->
      (String -> Int -> String -> m () -> m ()
forall a. String -> Int -> String -> m a -> m a
forall (m :: * -> *) a.
MonadDebug m =>
String -> Int -> String -> m a -> m a
verboseBracket String
"tc.conv.elim" Int
20 String
"compare Apply" :: m () -> m ()) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.elim" Int
10 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
        [ TCMT IO Doc
"a    =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
a
        , TCMT IO Doc
"v    =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
v
        , TCMT IO Doc
"arg1 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Arg Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Arg Term -> m Doc
prettyTCM Arg Term
arg1
        , TCMT IO Doc
"arg2 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Arg Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Arg Term -> m Doc
prettyTCM Arg Term
arg2
        ]
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.elim" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
        [ TCMT IO Doc
"raw:"
        , TCMT IO Doc
"a    =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Type
a
        , TCMT IO Doc
"v    =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Term
v
        , TCMT IO Doc
"arg1 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Arg Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Arg Term
arg1
        , TCMT IO Doc
"arg2 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Arg Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Arg Term
arg2
        ]
      let (Polarity
pol, [Polarity]
pols) = [Polarity] -> (Polarity, [Polarity])
nextPolarity [Polarity]
pols0
          (IsForced
for, [IsForced]
fors) = [IsForced] -> (IsForced, [IsForced])
nextIsForced [IsForced]
fors0
      Type
a <- Type -> m Type
forall (m :: * -> *) t.
(MonadReduce m, MonadBlock m, IsMeta t, Reduce t) =>
t -> m t
abortIfBlocked Type
a
      String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.elim" Int
40 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"type is not blocked"
      case Type -> Term
forall t a. Type'' t a -> a
unEl Type
a of
        (Pi (Dom{domInfo :: forall t e. Dom' t e -> ArgInfo
domInfo = ArgInfo
info, unDom :: forall t e. Dom' t e -> e
unDom = Type
b}) Abs Type
codom) -> do
          String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.elim" Int
40 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"type is a function type"
          Maybe Term
mlvl <- m Term -> m (Maybe Term)
forall e (m :: * -> *) a.
(MonadError e m, Functor m) =>
m a -> m (Maybe a)
tryMaybe m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevel
          let freeInCoDom :: Abs a -> Bool
freeInCoDom (Abs String
_ a
c) = Int
0 Int -> a -> Bool
forall a. Free a => Int -> a -> Bool
`freeInIgnoringSorts` a
c
              freeInCoDom Abs a
_         = Bool
False
              dependent :: Bool
dependent = (Term -> Maybe Term
forall a. a -> Maybe a
Just (Type -> Term
forall t a. Type'' t a -> a
unEl Type
b) Maybe Term -> Maybe Term -> Bool
forall a. Eq a => a -> a -> Bool
/= Maybe Term
mlvl) Bool -> Bool -> Bool
&& Abs Type -> Bool
forall a. Free a => Abs a -> Bool
freeInCoDom Abs Type
codom
                -- Level-polymorphism (x : Level) -> ... does not count as dependency here
                   -- NB: we could drop the free variable test and still be sound.
                   -- It is a trade-off between the administrative effort of
                   -- creating a blocking and traversing a term for free variables.
                   -- Apparently, it is believed that checking free vars is cheaper.
                   -- Andreas, 2013-05-15

-- NEW, Andreas, 2013-05-15

          -- compare arg1 and arg2
          ProblemId
pid <- m () -> m ProblemId
forall (m :: * -> *) a.
(MonadFresh ProblemId m, MonadConstraint m) =>
m a -> m ProblemId
newProblem_ (m () -> m ProblemId) -> m () -> m ProblemId
forall a b. (a -> b) -> a -> b
$ ArgInfo -> m () -> m ()
forall (tcm :: * -> *) m a.
(MonadTCEnv tcm, LensModality m) =>
m -> tcm a -> tcm a
applyModalityToContext ArgInfo
info (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$
              if IsForced -> Bool
isForced IsForced
for then
                String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.elim" Int
40 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"argument is forced"
              else if ArgInfo -> Bool
forall a. LensRelevance a => a -> Bool
isIrrelevant ArgInfo
info then do
                String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.elim" Int
40 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"argument is irrelevant"
                Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Type -> Term -> Term -> m ()
compareIrrelevant Type
b (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
arg1) (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
arg2)
              else do
                String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.elim" Int
40 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"argument has polarity " String -> String -> String
forall a. [a] -> [a] -> [a]
++ Polarity -> String
forall a. Show a => a -> String
show Polarity
pol
                Polarity
-> (Comparison -> Term -> Term -> m ()) -> Term -> Term -> m ()
forall (m :: * -> *) a.
MonadConversion m =>
Polarity -> (Comparison -> a -> a -> m ()) -> a -> a -> m ()
compareWithPol Polarity
pol ((Comparison -> Type -> Term -> Term -> m ())
-> Type -> Comparison -> Term -> Term -> m ()
forall a b c. (a -> b -> c) -> b -> a -> c
flip Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm Type
b)
                  (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
arg1) (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
arg2)
          -- if comparison got stuck and function type is dependent, block arg
          Bool
solved <- ProblemId -> m Bool
forall (m :: * -> *).
(MonadTCEnv m, ReadTCState m) =>
ProblemId -> m Bool
isProblemSolved ProblemId
pid
          String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.elim" Int
40 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"solved = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ Bool -> String
forall a. Show a => a -> String
show Bool
solved
          Arg Term
arg <- if Bool
dependent Bool -> Bool -> Bool
&& Bool -> Bool
not Bool
solved
                 then ArgInfo -> m (Arg Term) -> m (Arg Term)
forall (tcm :: * -> *) m a.
(MonadTCEnv tcm, LensModality m) =>
m -> tcm a -> tcm a
applyModalityToContext ArgInfo
info (m (Arg Term) -> m (Arg Term)) -> m (Arg Term) -> m (Arg Term)
forall a b. (a -> b) -> a -> b
$ do
                  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.elims" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat ([TCMT IO Doc] -> TCMT IO Doc) -> [TCMT IO Doc] -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$
                    [ TCMT IO Doc
"Trying antiUnify:"
                    , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"b    =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
b
                    , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"arg1 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Arg Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Arg Term -> m Doc
prettyTCM Arg Term
arg1
                    , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"arg2 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Arg Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Arg Term -> m Doc
prettyTCM Arg Term
arg2
                    ]
                  Arg Term
arg <- (Arg Term
arg1 Arg Term -> Term -> Arg Term
forall (f :: * -> *) a b. Functor f => f a -> b -> f b
$>) (Term -> Arg Term) -> m Term -> m (Arg Term)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> ProblemId -> Type -> Term -> Term -> m Term
forall (m :: * -> *).
MonadConversion m =>
ProblemId -> Type -> Term -> Term -> m Term
antiUnify ProblemId
pid Type
b (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
arg1) (Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
arg2)
                  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.elims" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc -> Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *).
Applicative m =>
m Doc -> Int -> m Doc -> m Doc
hang TCMT IO Doc
"Anti-unification:" Int
2 (Arg Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Arg Term -> m Doc
prettyTCM Arg Term
arg)
                  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.elims" Int
70 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"raw:" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Arg Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Arg Term
arg
                  Arg Term -> m (Arg Term)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Arg Term
arg
                 else Arg Term -> m (Arg Term)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Arg Term
arg1
          -- continue, possibly with blocked instantiation
          [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [Polarity]
pols [IsForced]
fors (Abs Type
codom Abs Type -> SubstArg Type -> Type
forall a. Subst a => Abs a -> SubstArg a -> a
`lazyAbsApp` Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
arg) (Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
apply Term
v [Arg Term
arg]) Elims
els1 Elims
els2
          -- any left over constraints of arg are associated to the comparison
          String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.elim" Int
40 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"stealing constraints from problem " String -> String -> String
forall a. [a] -> [a] -> [a]
++ ProblemId -> String
forall a. Show a => a -> String
show ProblemId
pid
          ProblemId -> m ()
forall (m :: * -> *). MonadConstraint m => ProblemId -> m ()
stealConstraints ProblemId
pid
          {- Stealing solves this issue:

             Does not create enough blocked tc-problems,
             see test/fail/DontPrune.
             (There are remaining problems which do not show up as yellow.)
             Need to find a way to associate pid also to result of compareElims.
          -}
        Term
a -> do
          String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"impossible" Int
10 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
            TCMT IO Doc
"unexpected type when comparing apply eliminations " TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
a
          String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"impossible" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"raw type:" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Term
a
          Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation (Term -> Blocker
forall t. AllMetas t => t -> Blocker
unblockOnAnyMetaIn Term
a)
          -- Andreas, 2013-10-22
          -- in case of disabled reductions (due to failing termination check)
          -- we might get stuck, so do not crash, but fail gently.
          -- __IMPOSSIBLE__

    -- case: f == f' are projections
    (Proj ProjOrigin
o QName
f : Elims
els1, Proj ProjOrigin
_ QName
f' : Elims
els2)
      | QName
f QName -> QName -> Bool
forall a. Eq a => a -> a -> Bool
/= QName
f'   -> TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ QName -> QName -> TypeError
MismatchedProjectionsError QName
f QName
f'
      | Bool
otherwise -> do
        Type
a   <- Type -> m Type
forall (m :: * -> *) t.
(MonadReduce m, MonadBlock m, IsMeta t, Reduce t) =>
t -> m t
abortIfBlocked Type
a
        Maybe (Dom Type, Term, Type)
res <- Term
-> Type -> ProjOrigin -> QName -> m (Maybe (Dom Type, Term, Type))
forall (m :: * -> *).
PureTCM m =>
Term
-> Type -> ProjOrigin -> QName -> m (Maybe (Dom Type, Term, Type))
projectTyped Term
v Type
a ProjOrigin
o QName
f -- fails only if f is proj.like but parameters cannot be retrieved
        case Maybe (Dom Type, Term, Type)
res of
          Just (Dom Type
_, Term
u, Type
t) -> do
            -- Andreas, 2015-07-01:
            -- The arguments following the principal argument of a projection
            -- are invariant.  (At least as long as we have no explicit polarity
            -- annotations.)
            [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [] [] Type
t Term
u Elims
els1 Elims
els2
          Maybe (Dom Type, Term, Type)
Nothing -> do
            String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.elims" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep
              [ String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text (String -> TCMT IO Doc) -> String -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ String
"projection " String -> String -> String
forall a. [a] -> [a] -> [a]
++ QName -> String
forall a. Pretty a => a -> String
prettyShow QName
f
              , String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text   String
"applied to value " TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
v
              , String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text   String
"of unexpected type " TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
a
              ]
            Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation (Type -> Blocker
forall t. AllMetas t => t -> Blocker
unblockOnAnyMetaIn Type
a)


-- | "Compare" two terms in irrelevant position.  This always succeeds.
--   However, we can dig for solutions of irrelevant metas in the
--   terms we compare.
--   (Certainly not the systematic solution, that'd be proof search...)
compareIrrelevant :: MonadConversion m => Type -> Term -> Term -> m ()
{- 2012-04-02 DontCare no longer present
compareIrrelevant t (DontCare v) w = compareIrrelevant t v w
compareIrrelevant t v (DontCare w) = compareIrrelevant t v w
-}
compareIrrelevant :: forall (m :: * -> *).
MonadConversion m =>
Type -> Term -> Term -> m ()
compareIrrelevant Type
t Term
v0 Term
w0 = do
  let v :: Term
v = Term -> Term
stripDontCare Term
v0
      w :: Term
w = Term -> Term
stripDontCare Term
w0
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.irr" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
    [ TCMT IO Doc
"compareIrrelevant"
    , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"v =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
v
    , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"w =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
w
    ]
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.irr" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
    [ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"v =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Term
v
    , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"w =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Term
w
    ]
  ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare irrelevant"
  Term -> Term -> m () -> m ()
try Term
v Term
w (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ Term -> Term -> m () -> m ()
try Term
w Term
v (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()
  where
    try :: Term -> Term -> m () -> m ()
try (MetaV MetaId
x Elims
es) Term
w m ()
fallback = do
      MetaInstantiation
mi <- MetaId -> m MetaInstantiation
forall (m :: * -> *).
ReadTCState m =>
MetaId -> m MetaInstantiation
lookupMetaInstantiation MetaId
x
      Modality
mm <- MetaId -> m Modality
forall (m :: * -> *). ReadTCState m => MetaId -> m Modality
lookupMetaModality MetaId
x
      let rel :: Relevance
rel  = Modality -> Relevance
forall a. LensRelevance a => a -> Relevance
getRelevance Modality
mm
          inst :: Bool
inst = case MetaInstantiation
mi of
                   InstV{} -> Bool
True
                   MetaInstantiation
_       -> Bool
False
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.irr" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
        [ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text (String -> TCMT IO Doc) -> String -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ String
"rel  = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ Relevance -> String
forall a. Show a => a -> String
show Relevance
rel
        , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"inst =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Bool -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Bool
inst
        ]
      if Bool -> Bool
not (Relevance -> Bool
forall a. LensRelevance a => a -> Bool
isIrrelevant Relevance
rel) Bool -> Bool -> Bool
|| Bool
inst
        then m ()
fallback
        -- Andreas, 2016-08-08, issue #2131:
        -- Mining for solutions for irrelevant metas is not definite.
        -- Thus, in case of error, leave meta unsolved.
        else CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
assignE CompareDirection
DirEq MetaId
x Elims
es Term
w (Type -> CompareAs
AsTermsOf Type
t) (Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Type -> Term -> Term -> m ()
compareIrrelevant Type
t) m () -> (TCErr -> m ()) -> m ()
forall a. m a -> (TCErr -> m a) -> m a
forall e (m :: * -> *) a.
MonadError e m =>
m a -> (e -> m a) -> m a
`catchError` \ TCErr
_ -> m ()
fallback
        -- the value of irrelevant or unused meta does not matter
    try Term
v Term
w m ()
fallback = m ()
fallback

compareWithPol :: MonadConversion m => Polarity -> (Comparison -> a -> a -> m ()) -> a -> a -> m ()
compareWithPol :: forall (m :: * -> *) a.
MonadConversion m =>
Polarity -> (Comparison -> a -> a -> m ()) -> a -> a -> m ()
compareWithPol Polarity
Invariant     Comparison -> a -> a -> m ()
cmp a
x a
y = Comparison -> a -> a -> m ()
cmp Comparison
CmpEq a
x a
y
compareWithPol Polarity
Covariant     Comparison -> a -> a -> m ()
cmp a
x a
y = Comparison -> a -> a -> m ()
cmp Comparison
CmpLeq a
x a
y
compareWithPol Polarity
Contravariant Comparison -> a -> a -> m ()
cmp a
x a
y = Comparison -> a -> a -> m ()
cmp Comparison
CmpLeq a
y a
x
compareWithPol Polarity
Nonvariant    Comparison -> a -> a -> m ()
cmp a
x a
y = () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()

polFromCmp :: Comparison -> Polarity
polFromCmp :: Comparison -> Polarity
polFromCmp Comparison
CmpLeq = Polarity
Covariant
polFromCmp Comparison
CmpEq  = Polarity
Invariant

-- | Type-directed equality on argument lists
--
compareArgs :: MonadConversion m => [Polarity] -> [IsForced] -> Type -> Term -> Args -> Args -> m ()
compareArgs :: forall (m :: * -> *).
MonadConversion m =>
[Polarity]
-> [IsForced] -> Type -> Term -> [Arg Term] -> [Arg Term] -> m ()
compareArgs [Polarity]
pol [IsForced]
for Type
a Term
v [Arg Term]
args1 [Arg Term]
args2 =
  [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [Polarity]
pol [IsForced]
for Type
a Term
v ((Arg Term -> Elim' Term) -> [Arg Term] -> Elims
forall a b. (a -> b) -> [a] -> [b]
map Arg Term -> Elim' Term
forall a. Arg a -> Elim' a
Apply [Arg Term]
args1) ((Arg Term -> Elim' Term) -> [Arg Term] -> Elims
forall a b. (a -> b) -> [a] -> [b]
map Arg Term -> Elim' Term
forall a. Arg a -> Elim' a
Apply [Arg Term]
args2)

---------------------------------------------------------------------------
-- * Types
---------------------------------------------------------------------------

{-# SPECIALIZE compareType :: Comparison -> Type -> Type -> TCM () #-}
-- | Equality on Types
compareType :: MonadConversion m => Comparison -> Type -> Type -> m ()
compareType :: forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Type -> m ()
compareType Comparison
cmp ty1 :: Type
ty1@(El Sort
s1 Term
a1) ty2 :: Type
ty2@(El Sort
s2 Term
a2) =
    m () -> m ()
forall (m :: * -> *) a.
(MonadTCEnv m, HasOptions m, MonadDebug m) =>
m a -> m a
workOnTypes (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$
    String -> Int -> String -> m () -> m ()
forall a. String -> Int -> String -> m a -> m a
forall (m :: * -> *) a.
MonadDebug m =>
String -> Int -> String -> m a -> m a
verboseBracket String
"tc.conv.type" Int
20 String
"compareType" (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
        String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.type" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
          [ TCMT IO Doc
"compareType" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
ty1 TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Comparison -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Comparison -> m Doc
prettyTCM Comparison
cmp
                                       , Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
ty2 ]
          , [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
hsep [ TCMT IO Doc
"   sorts:", Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s1, TCMT IO Doc
" and ", Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s2 ]
          ]
        Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAs Comparison
cmp CompareAs
AsTypes Term
a1 Term
a2

leqType :: MonadConversion m => Type -> Type -> m ()
leqType :: forall (m :: * -> *). MonadConversion m => Type -> Type -> m ()
leqType = Comparison -> Type -> Type -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Type -> m ()
compareType Comparison
CmpLeq

{-# SPECIALIZE coerce :: Comparison -> Term -> Type -> Type -> TCM Term #-}
-- | @coerce v a b@ coerces @v : a@ to type @b@, returning a @v' : b@
--   with maybe extra hidden applications or hidden abstractions.
--
--   In principle, this function can host coercive subtyping, but
--   currently it only tries to fix problems with hidden function types.
--
coerce :: (MonadConversion m, MonadTCM m) => Comparison -> Term -> Type -> Type -> m Term
coerce :: forall (m :: * -> *).
(MonadConversion m, MonadTCM m) =>
Comparison -> Term -> Type -> Type -> m Term
coerce Comparison
cmp Term
v Type
t1 Type
t2 = Type -> m Term -> m Term
forall (m :: * -> *).
(MonadMetaSolver m, MonadConstraint m, MonadFresh Int m,
 MonadFresh ProblemId m) =>
Type -> m Term -> m Term
blockTerm Type
t2 (m Term -> m Term) -> m Term -> m Term
forall a b. (a -> b) -> a -> b
$ do
  String -> Int -> m () -> m ()
forall (m :: * -> *). MonadDebug m => String -> Int -> m () -> m ()
verboseS String
"tc.conv.coerce" Int
10 (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
    (Type
a1,Type
a2) <- (Type, Type) -> m (ReifiesTo (Type, Type))
forall i (m :: * -> *).
(Reify i, MonadReify m) =>
i -> m (ReifiesTo i)
forall (m :: * -> *).
MonadReify m =>
(Type, Type) -> m (ReifiesTo (Type, Type))
reify (Type
t1,Type
t2)
    let dbglvl :: Int
dbglvl = Int
30
    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.coerce" Int
dbglvl (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
      TCMT IO Doc
"coerce" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
        [ TCMT IO Doc
"term      v  =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
v
        , TCMT IO Doc
"from type t1 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
a1
        , TCMT IO Doc
"to type   t2 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Type -> m Doc
prettyTCM Type
a2
        , TCMT IO Doc
"comparison   =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Comparison -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Comparison -> m Doc
prettyTCM Comparison
cmp
        ]
    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.coerce" Int
70 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
      TCMT IO Doc
"coerce" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
        [ TCMT IO Doc
"term      v  =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Term
v
        , TCMT IO Doc
"from type t1 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Type
t1
        , TCMT IO Doc
"to type   t2 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Type
t2
        , TCMT IO Doc
"comparison   =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Comparison -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Comparison
cmp
        ]
  -- v <$ do workOnTypes $ leqType t1 t2
  -- take off hidden/instance domains from t1 and t2
  TelV Telescope
tel1 Type
b1 <- Int -> (Dom Type -> Bool) -> Type -> m (TelV Type)
forall (m :: * -> *).
(MonadReduce m, MonadAddContext m) =>
Int -> (Dom Type -> Bool) -> Type -> m (TelV Type)
telViewUpTo' (-Int
1) Dom Type -> Bool
forall a. LensHiding a => a -> Bool
notVisible Type
t1
  TelV Telescope
tel2 Type
b2 <- Int -> (Dom Type -> Bool) -> Type -> m (TelV Type)
forall (m :: * -> *).
(MonadReduce m, MonadAddContext m) =>
Int -> (Dom Type -> Bool) -> Type -> m (TelV Type)
telViewUpTo' (-Int
1) Dom Type -> Bool
forall a. LensHiding a => a -> Bool
notVisible Type
t2
  let n :: Int
n = Telescope -> Int
forall a. Sized a => a -> Int
size Telescope
tel1 Int -> Int -> Int
forall a. Num a => a -> a -> a
- Telescope -> Int
forall a. Sized a => a -> Int
size Telescope
tel2
  -- the crude solution would be
  --   v' = λ {tel2} → v {tel1}
  -- however, that may introduce unneccessary many function types
  -- If n  > 0 and b2 is not blocked, it is safe to
  -- insert n many hidden args
  if Int
n Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= Int
0 then m Term
fallback else do
    Type
-> (Blocker -> Type -> m Term)
-> (NotBlocked -> Type -> m Term)
-> m Term
forall t (m :: * -> *) a.
(Reduce t, IsMeta t, MonadReduce m) =>
t -> (Blocker -> t -> m a) -> (NotBlocked -> t -> m a) -> m a
ifBlocked Type
b2 (\ Blocker
_ Type
_ -> m Term
fallback) ((NotBlocked -> Type -> m Term) -> m Term)
-> (NotBlocked -> Type -> m Term) -> m Term
forall a b. (a -> b) -> a -> b
$ \ NotBlocked
_ Type
_ -> do
      ([Arg Term]
args, Type
t1') <- Int -> (Hiding -> Bool) -> Type -> m ([Arg Term], Type)
forall (m :: * -> *).
(PureTCM m, MonadMetaSolver m, MonadTCM m) =>
Int -> (Hiding -> Bool) -> Type -> m ([Arg Term], Type)
implicitArgs Int
n Hiding -> Bool
forall a. LensHiding a => a -> Bool
notVisible Type
t1
      let v' :: Term
v' = Term
v Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
`apply` [Arg Term]
args
      Term
v' Term -> m () -> m Term
forall a b. a -> m b -> m a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ (Type -> Type -> m ()) -> Term -> Type -> Type -> m ()
forall (m :: * -> *).
MonadConversion m =>
(Type -> Type -> m ()) -> Term -> Type -> Type -> m ()
coerceSize (Comparison -> Type -> Type -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Type -> m ()
compareType Comparison
cmp) Term
v' Type
t1' Type
t2
  where
    fallback :: m Term
fallback = Term
v Term -> m () -> m Term
forall a b. a -> m b -> m a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ (Type -> Type -> m ()) -> Term -> Type -> Type -> m ()
forall (m :: * -> *).
MonadConversion m =>
(Type -> Type -> m ()) -> Term -> Type -> Type -> m ()
coerceSize (Comparison -> Type -> Type -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Type -> m ()
compareType Comparison
cmp) Term
v Type
t1 Type
t2

{-# SPECIALIZE coerceSize :: (Type -> Type -> TCM ()) -> Term -> Type -> Type -> TCM () #-}
-- | Account for situations like @k : (Size< j) <= (Size< k + 1)@
--
--   Actually, the semantics is
--   @(Size<= k) ∩ (Size< j) ⊆ rhs@
--   which gives a disjunctive constraint.  Mmmh, looks like stuff
--   TODO.
--
--   For now, we do a cheap heuristics.
--
coerceSize :: MonadConversion m => (Type -> Type -> m ()) -> Term -> Type -> Type -> m ()
coerceSize :: forall (m :: * -> *).
MonadConversion m =>
(Type -> Type -> m ()) -> Term -> Type -> Type -> m ()
coerceSize Type -> Type -> m ()
leqType Term
v Type
t1 Type
t2 = String -> Int -> String -> m () -> m ()
forall a. String -> Int -> String -> m a -> m a
forall (m :: * -> *) a.
MonadDebug m =>
String -> Int -> String -> m a -> m a
verboseBracket String
"tc.conv.size.coerce" Int
45 String
"coerceSize" (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$
  m () -> m ()
forall (m :: * -> *) a.
(MonadTCEnv m, HasOptions m, MonadDebug m) =>
m a -> m a
workOnTypes (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.size.coerce" Int
70 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
      TCMT IO Doc
"coerceSize" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
        [ TCMT IO Doc
"term      v  =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Term
v
        , TCMT IO Doc
"from type t1 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Type
t1
        , TCMT IO Doc
"to type   t2 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Type
t2
        ]
    let fallback :: m ()
fallback = Type -> Type -> m ()
leqType Type
t1 Type
t2
        done :: m ()
done = m (Maybe BoundedSize) -> m () -> (BoundedSize -> m ()) -> m ()
forall (m :: * -> *) a b.
Monad m =>
m (Maybe a) -> m b -> (a -> m b) -> m b
caseMaybeM (Type -> m (Maybe BoundedSize)
forall a (m :: * -> *).
(IsSizeType a, HasOptions m, HasBuiltins m) =>
a -> m (Maybe BoundedSize)
forall (m :: * -> *).
(HasOptions m, HasBuiltins m) =>
Type -> m (Maybe BoundedSize)
isSizeType (Type -> m (Maybe BoundedSize)) -> m Type -> m (Maybe BoundedSize)
forall (m :: * -> *) a b. Monad m => (a -> m b) -> m a -> m b
=<< Type -> m Type
forall a (m :: * -> *). (Reduce a, MonadReduce m) => a -> m a
reduce Type
t1) m ()
fallback ((BoundedSize -> m ()) -> m ()) -> (BoundedSize -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \ BoundedSize
_ -> () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()
    -- Andreas, 2015-07-22, Issue 1615:
    -- If t1 is a meta and t2 a type like Size< v2, we need to make sure we do not miss
    -- the constraint v < v2!
    m (Maybe BoundedSize) -> m () -> (BoundedSize -> m ()) -> m ()
forall (m :: * -> *) a b.
Monad m =>
m (Maybe a) -> m b -> (a -> m b) -> m b
caseMaybeM (Type -> m (Maybe BoundedSize)
forall a (m :: * -> *).
(IsSizeType a, HasOptions m, HasBuiltins m) =>
a -> m (Maybe BoundedSize)
forall (m :: * -> *).
(HasOptions m, HasBuiltins m) =>
Type -> m (Maybe BoundedSize)
isSizeType (Type -> m (Maybe BoundedSize)) -> m Type -> m (Maybe BoundedSize)
forall (m :: * -> *) a b. Monad m => (a -> m b) -> m a -> m b
=<< Type -> m Type
forall a (m :: * -> *). (Reduce a, MonadReduce m) => a -> m a
reduce Type
t2) m ()
fallback ((BoundedSize -> m ()) -> m ()) -> (BoundedSize -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \ BoundedSize
b2 -> do
      -- Andreas, 2017-01-20, issue #2329:
      -- If v is not a size suitable for the solver, like a neutral term,
      -- we can only rely on the type.
      SizeMaxView
mv <- Term -> m SizeMaxView
forall (m :: * -> *). PureTCM m => Term -> m SizeMaxView
sizeMaxView Term
v
      if (DeepSizeView -> Bool) -> SizeMaxView -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
any (\case{ DOtherSize{} -> Bool
True; DeepSizeView
_ -> Bool
False }) SizeMaxView
mv then m ()
fallback else do
      -- Andreas, 2015-02-11 do not instantiate metas here (triggers issue 1203).
      m Bool -> m () -> m ()
forall (m :: * -> *). Monad m => m Bool -> m () -> m ()
unlessM (m () -> m Bool
forall (m :: * -> *).
(MonadConstraint m, MonadWarning m, MonadError TCErr m,
 MonadFresh ProblemId m) =>
m () -> m Bool
tryConversion (m () -> m Bool) -> m () -> m Bool
forall a b. (a -> b) -> a -> b
$ m () -> m ()
forall (m :: * -> *) a.
(MonadTCEnv m, HasOptions m, MonadDebug m) =>
m a -> m a
dontAssignMetas (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ Type -> Type -> m ()
leqType Type
t1 Type
t2) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
        -- A (most probably weaker) alternative is to just check syn.eq.
        -- ifM (snd <$> checkSyntacticEquality t1 t2) (return v) $ {- else -} do
        String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.size.coerce" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"coercing to a size type"
        case BoundedSize
b2 of
          -- @t2 = Size@.  We are done!
          BoundedSize
BoundedNo -> m ()
done
          -- @t2 = Size< v2@
          BoundedLt Term
v2 -> do
            SizeView
sv2 <- Term -> m SizeView
forall (m :: * -> *).
(HasBuiltins m, MonadTCEnv m, ReadTCState m) =>
Term -> m SizeView
sizeView Term
v2
            case SizeView
sv2 of
              SizeView
SizeInf     -> m ()
done
              OtherSize{} -> do
                -- Andreas, 2014-06-16:
                -- Issue 1203: For now, just treat v < v2 as suc v <= v2
                -- TODO: Need proper < comparison
                Term
vinc <- Int -> Term -> m Term
forall (m :: * -> *). HasBuiltins m => Int -> Term -> m Term
sizeSuc Int
1 Term
v
                Comparison -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Term -> Term -> m ()
compareSizes Comparison
CmpLeq Term
vinc Term
v2
                m ()
done
              -- @v2 = a2 + 1@: In this case, we can try @v <= a2@
              SizeSuc Term
a2 -> do
                Comparison -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Term -> Term -> m ()
compareSizes Comparison
CmpLeq Term
v Term
a2
                m ()
done  -- to pass Issue 1136

---------------------------------------------------------------------------
-- * Sorts and levels
---------------------------------------------------------------------------

compareLevel :: MonadConversion m => Comparison -> Level -> Level -> m ()
compareLevel :: forall (m :: * -> *).
MonadConversion m =>
Comparison -> Level -> Level -> m ()
compareLevel Comparison
CmpLeq Level
u Level
v = Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel Level
u Level
v
compareLevel Comparison
CmpEq  Level
u Level
v = Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
equalLevel Level
u Level
v

compareSort :: MonadConversion m => Comparison -> Sort -> Sort -> m ()
compareSort :: forall (m :: * -> *).
MonadConversion m =>
Comparison -> Sort -> Sort -> m ()
compareSort Comparison
CmpEq  = Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort
compareSort Comparison
CmpLeq = Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
leqSort

-- | Check that the first sort is less or equal to the second.
--
--   We can put @SizeUniv@ below @Inf@, but otherwise, it is
--   unrelated to the other universes.
--
leqSort :: forall m. MonadConversion m => Sort -> Sort -> m ()
leqSort :: forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
leqSort Sort
s1 Sort
s2 = do
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.sort" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
    [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ TCMT IO Doc
"leqSort"
        , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [ Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s1 TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=<"
                        , Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s2 ]
        ]
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.sort" Int
60 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
    [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ TCMT IO Doc
"leqSort"
        , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [ Sort -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Sort
s1 TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=<"
                        , Sort -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Sort
s2 ]
        ]
  ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare sorts"

  Sort
-> Sort -> (Sort -> Sort -> m ()) -> (Sort -> Sort -> m ()) -> m ()
forall a (m :: * -> *) b.
(Instantiate a, SynEq a, MonadReduce m) =>
a -> a -> (a -> a -> m b) -> (a -> a -> m b) -> m b
SynEq.checkSyntacticEquality Sort
s1 Sort
s2 (\Sort
_ Sort
_ -> () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()) ((Sort -> Sort -> m ()) -> m ()) -> (Sort -> Sort -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \Sort
s1 Sort
s2 -> do

    Blocked Sort
s1b <- Sort -> m (Blocked Sort)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Sort
s1
    Blocked Sort
s2b <- Sort -> m (Blocked Sort)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Sort
s2

    let (Sort
s1,Sort
s2) = (Blocked Sort -> Sort
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Sort
s1b , Blocked Sort -> Sort
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Sort
s2b)
        blocker :: Blocker
blocker = Blocker -> Blocker -> Blocker
unblockOnEither (Blocked Sort -> Blocker
forall t a. Blocked' t a -> Blocker
getBlocker Blocked Sort
s1b) (Blocked Sort -> Blocker
forall t a. Blocked' t a -> Blocker
getBlocker Blocked Sort
s2b)
        postpone :: m ()
postpone = Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
blocker

    let postponeIfBlocked :: m () -> m ()
postponeIfBlocked = (Blocker -> m ()) -> m () -> m ()
forall a. (Blocker -> m a) -> m a -> m a
forall (m :: * -> *) a.
MonadBlock m =>
(Blocker -> m a) -> m a -> m a
catchPatternErr ((Blocker -> m ()) -> m () -> m ())
-> (Blocker -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ \Blocker
blocker -> do
          if | Blocker
blocker Blocker -> Blocker -> Bool
forall a. Eq a => a -> a -> Bool
== Blocker
neverUnblock -> TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Sort -> Sort -> TypeError
NotLeqSort Sort
s1 Sort
s2
             | Bool
otherwise -> do
                 String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.sort" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
                   [ TCMT IO Doc
"Postponing constraint"
                   , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [ Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s1 TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=<"
                                   , Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s2 ]
                   ]
                 String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.sort" Int
60 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
                   [ TCMT IO Doc
"Postponing constraint"
                   , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [ Sort -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Sort
s1 TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=<"
                                   , Sort -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Sort
s2 ]
                   ]
                 Blocker -> Constraint -> m ()
forall (m :: * -> *).
MonadConstraint m =>
Blocker -> Constraint -> m ()
addConstraint Blocker
blocker (Constraint -> m ()) -> Constraint -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Sort -> Sort -> Constraint
SortCmp Comparison
CmpLeq Sort
s1 Sort
s2

    Bool
propEnabled <- m Bool
forall (m :: * -> *). HasOptions m => m Bool
isPropEnabled
    Bool
typeInTypeEnabled <- m Bool
forall (m :: * -> *). HasOptions m => m Bool
typeInType
    Bool
omegaInOmegaEnabled <- PragmaOptions -> Bool
optOmegaInOmega (PragmaOptions -> Bool) -> m PragmaOptions -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> m PragmaOptions
forall (m :: * -> *). HasOptions m => m PragmaOptions
pragmaOptions
    let infInInf :: Bool
infInInf = Bool
typeInTypeEnabled Bool -> Bool -> Bool
|| Bool
omegaInOmegaEnabled

    let fvsRHS :: Int -> Bool
fvsRHS = (Int -> IntSet -> Bool
`IntSet.member` Sort -> IntSet
forall t. Free t => t -> IntSet
allFreeVars Sort
s2)
    Bool
badRigid <- Sort
s1 Sort -> (Int -> Bool) -> m Bool
forall (m :: * -> *) a.
(PureTCM m, AnyRigid a) =>
a -> (Int -> Bool) -> m Bool
`rigidVarsNotContainedIn` Int -> Bool
fvsRHS

    m () -> m ()
postponeIfBlocked (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ case (Sort
s1, Sort
s2) of
      -- Andreas, 2018-09-03: crash on dummy sort
      (DummyS String
s, Sort
_) -> String -> m ()
forall {m :: * -> *} {a} {b}.
(ReportS [a], MonadDebug m, IsString a) =>
a -> m b
impossibleSort String
s
      (Sort
_, DummyS String
s) -> String -> m ()
forall {m :: * -> *} {a} {b}.
(ReportS [a], MonadDebug m, IsString a) =>
a -> m b
impossibleSort String
s

      -- The most basic rule: @Set l =< Set l'@ iff @l =< l'@
      -- Likewise for @Prop@
      -- Likewise for @SSet@
      -- @Prop l@ is below @Set l@
      -- @Set l@ is below @SSet l@
      -- @Prop l@ is below @SSet l@
      (Univ Univ
u Level
a, Univ Univ
u' Level
b) -> if Univ
u Univ -> Univ -> Bool
forall a. Ord a => a -> a -> Bool
<= Univ
u' then Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel Level
a Level
b else m ()
forall {a}. m a
no

      -- @Setωᵢ@ is above all small sorts
      (Inf Univ
u Integer
m , Inf Univ
u' Integer
n) -> Bool -> m ()
answer (Bool -> m ()) -> Bool -> m ()
forall a b. (a -> b) -> a -> b
$ Univ
u Univ -> Univ -> Bool
forall a. Ord a => a -> a -> Bool
<= Univ
u' Bool -> Bool -> Bool
&& (Integer
m Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
<= Integer
n Bool -> Bool -> Bool
|| Bool
infInInf)
      (Univ Univ
u Level
_, Inf Univ
u' Integer
_) -> Bool -> m ()
answer (Bool -> m ()) -> Bool -> m ()
forall a b. (a -> b) -> a -> b
$ Univ
u Univ -> Univ -> Bool
forall a. Ord a => a -> a -> Bool
<= Univ
u'
      (Inf Univ
u Integer
_, Univ Univ
u' Level
_) -> Bool -> m ()
answer (Bool -> m ()) -> Bool -> m ()
forall a b. (a -> b) -> a -> b
$ Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
== Univ
u' Bool -> Bool -> Bool
&& Bool
typeInTypeEnabled

      -- @LockUniv@, @LevelUniv@, @IntervalUniv@, @SizeUniv@, and @Prop0@ are bottom sorts.
      -- So is @Set0@ if @Prop@ is not enabled.
      (Sort
_       , Sort
LockUniv) -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s1 Sort
s2
      (Sort
_       , Sort
LevelUniv) -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s1 Sort
s2
      (Sort
_       , Sort
IntervalUniv) -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s1 Sort
s2
      (Sort
_       , Sort
SizeUniv) -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s1 Sort
s2
      (Sort
_       , Prop (Max Integer
0 [])) -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s1 Sort
s2
      (Sort
_       , Type (Max Integer
0 []))
        | Bool -> Bool
not Bool
propEnabled  -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s1 Sort
s2

      -- @SizeUniv@, @LockUniv@ and @LevelUniv@ are unrelated to any @Set l@ or @Prop l@
      (Sort
SizeUniv, Univ{}  ) -> m ()
forall {a}. m a
no
      (Sort
SizeUniv , Inf{}  ) -> m ()
forall {a}. m a
no
      (Sort
LockUniv, Univ{}  ) -> m ()
forall {a}. m a
no
      (Sort
LockUniv , Inf{}  ) -> m ()
forall {a}. m a
no
      (Sort
LevelUniv, Univ{}  ) -> m ()
forall {a}. m a
no
      (Sort
LevelUniv , Inf{}  ) -> m ()
forall {a}. m a
no

      -- @IntervalUniv@ is below @SSet l@, but not @Set l@ or @Prop l@
      (Sort
IntervalUniv, Type{}) -> m ()
forall {a}. m a
no
      (Sort
IntervalUniv, Prop{}) -> m ()
forall {a}. m a
no
      (Sort
IntervalUniv , Inf Univ
u Integer
_) -> Bool -> m ()
answer (Bool -> m ()) -> Bool -> m ()
forall a b. (a -> b) -> a -> b
$ Univ -> IsFibrant
univFibrancy Univ
u IsFibrant -> IsFibrant -> Bool
forall a. Eq a => a -> a -> Bool
== IsFibrant
IsStrict
      (Sort
IntervalUniv , SSet Level
b) -> Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel (Integer -> Level
ClosedLevel Integer
0) Level
b

      -- If the first sort is a small sort that rigidly depends on a
      -- variable and the second sort does not mention this variable,
      -- the second sort must be at least @Setω@.
      (Sort
_       , Sort
_       ) | Right (SmallSort Univ
f) <- Sort -> Either Blocker SizeOfSort
sizeOfSort Sort
s1 , Bool
badRigid -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
leqSort (Univ -> Integer -> Sort
forall t. Univ -> Integer -> Sort' t
Inf Univ
f Integer
0) Sort
s2

      -- PiSort, FunSort, UnivSort and MetaS might reduce once we instantiate
      -- more metas, so we postpone.
      (PiSort{}, Sort
_       ) -> m ()
postpone
      (Sort
_       , PiSort{}) -> m ()
postpone
      (FunSort{}, Sort
_      ) -> m ()
postpone
      (Sort
_      , FunSort{}) -> m ()
postpone
      (UnivSort{}, Sort
_     ) -> m ()
postpone
      (Sort
_     , UnivSort{}) -> m ()
postpone
      (MetaS{} , Sort
_       ) -> m ()
postpone
      (Sort
_       , MetaS{} ) -> m ()
postpone

      -- DefS are postulated sorts, so they do not reduce.
      (DefS{} , Sort
_     ) -> m ()
forall {a}. m a
no
      (Sort
_      , DefS{}) -> m ()
forall {a}. m a
no

  where
  no :: m a
no  = Blocker -> m a
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
neverUnblock
  yes :: m ()
yes = () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()
  answer :: Bool -> m ()
answer = \case
    Bool
True -> m ()
yes
    Bool
False -> m ()
forall {a}. m a
no
  impossibleSort :: a -> m b
impossibleSort a
s = do
    String -> Int -> [a] -> m ()
forall a (m :: * -> *).
(ReportS a, MonadDebug m) =>
String -> Int -> a -> m ()
forall (m :: * -> *). MonadDebug m => String -> Int -> [a] -> m ()
reportS String
"impossible" Int
10
      [ a
"leqSort: found dummy sort with description:"
      , a
s
      ]
    m b
forall a. HasCallStack => a
__IMPOSSIBLE__

leqLevel :: MonadConversion m => Level -> Level -> m ()
leqLevel :: forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel Level
a Level
b = Constraint -> m () -> m ()
forall (m :: * -> *).
MonadConstraint m =>
Constraint -> m () -> m ()
catchConstraint (Comparison -> Level -> Level -> Constraint
LevelCmp Comparison
CmpLeq Level
a Level
b) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
        TCMT IO Doc
"compareLevel" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+>
          [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ Level -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Level -> m Doc
prettyTCM Level
a TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=<"
              , Level -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Level -> m Doc
prettyTCM Level
b ]
      ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare levels"

      (Level
a, Level
b) <- (Level, Level) -> m (Level, Level)
forall a (m :: * -> *). (Normalise a, MonadReduce m) => a -> m a
normalise (Level
a, Level
b)
      Level
-> Level
-> (Level -> Level -> m ())
-> (Level -> Level -> m ())
-> m ()
forall a (m :: * -> *) b.
(Instantiate a, SynEq a, MonadReduce m) =>
a -> a -> (a -> a -> m b) -> (a -> a -> m b) -> m b
SynEq.checkSyntacticEquality' Level
a Level
b
        (\Level
_ Level
_ ->
          String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
60
            TCMT IO Doc
"checkSyntacticEquality returns True") ((Level -> Level -> m ()) -> m ())
-> (Level -> Level -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \Level
a Level
b -> do
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
60
        TCMT IO Doc
"checkSyntacticEquality returns False"

      let notok :: m ()
notok    = m Bool -> m () -> m ()
forall (m :: * -> *). Monad m => m Bool -> m () -> m ()
unlessM m Bool
forall (m :: * -> *). HasOptions m => m Bool
typeInType (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Sort -> Sort -> TypeError
NotLeqSort (Level -> Sort
forall t. Level' t -> Sort' t
Type Level
a) (Level -> Sort
forall t. Level' t -> Sort' t
Type Level
b)
          postpone :: m ()
postpone = Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation ((Level, Level) -> Blocker
forall t. AllMetas t => t -> Blocker
unblockOnAnyMetaIn (Level
a, Level
b))

          wrap :: m () -> m ()
wrap m ()
m = m ()
m m () -> (TCErr -> m ()) -> m ()
forall a. m a -> (TCErr -> m a) -> m a
forall e (m :: * -> *) a.
MonadError e m =>
m a -> (e -> m a) -> m a
`catchError` \case
            TypeError{} -> m ()
notok
            TCErr
err         -> TCErr -> m ()
forall a. TCErr -> m a
forall e (m :: * -> *) a. MonadError e m => e -> m a
throwError TCErr
err

      Bool
cumulativity <- PragmaOptions -> Bool
optCumulativity (PragmaOptions -> Bool) -> m PragmaOptions -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> m PragmaOptions
forall (m :: * -> *). HasOptions m => m PragmaOptions
pragmaOptions
      Bool
areWeComputingOverlap <- Lens' TCEnv Bool -> m Bool
forall (m :: * -> *) a. MonadTCEnv m => Lens' TCEnv a -> m a
viewTC (Bool -> f Bool) -> TCEnv -> f TCEnv
Lens' TCEnv Bool
eConflComputingOverlap
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
40 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
        TCMT IO Doc
"compareLevelView" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+>
          [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Semigroup (m Doc), Foldable t) =>
t (m Doc) -> m Doc
prettyList_ (NonEmpty (TCMT IO Doc) -> TCMT IO Doc)
-> NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ (SingleLevel' Term -> TCMT IO Doc)
-> NonEmpty (SingleLevel' Term) -> NonEmpty (TCMT IO Doc)
forall a b. (a -> b) -> NonEmpty a -> NonEmpty b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty (Level -> TCMT IO Doc)
-> (SingleLevel' Term -> Level) -> SingleLevel' Term -> TCMT IO Doc
forall b c a. (b -> c) -> (a -> b) -> a -> c
. SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel) (NonEmpty (SingleLevel' Term) -> NonEmpty (TCMT IO Doc))
-> NonEmpty (SingleLevel' Term) -> NonEmpty (TCMT IO Doc)
forall a b. (a -> b) -> a -> b
$ Level -> NonEmpty (SingleLevel' Term)
forall t. Level' t -> List1 (SingleLevel' t)
levelMaxView Level
a
              , TCMT IO Doc
"=<"
              , NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Semigroup (m Doc), Foldable t) =>
t (m Doc) -> m Doc
prettyList_ (NonEmpty (TCMT IO Doc) -> TCMT IO Doc)
-> NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ (SingleLevel' Term -> TCMT IO Doc)
-> NonEmpty (SingleLevel' Term) -> NonEmpty (TCMT IO Doc)
forall a b. (a -> b) -> NonEmpty a -> NonEmpty b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty (Level -> TCMT IO Doc)
-> (SingleLevel' Term -> Level) -> SingleLevel' Term -> TCMT IO Doc
forall b c a. (b -> c) -> (a -> b) -> a -> c
. SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel) (NonEmpty (SingleLevel' Term) -> NonEmpty (TCMT IO Doc))
-> NonEmpty (SingleLevel' Term) -> NonEmpty (TCMT IO Doc)
forall a b. (a -> b) -> a -> b
$ Level -> NonEmpty (SingleLevel' Term)
forall t. Level' t -> List1 (SingleLevel' t)
levelMaxView Level
b
              ]

      -- Extra reduce on level atoms, but should be cheap since they are already reduced.
      Level' (Blocked Term)
aB <- (Term -> m (Blocked Term)) -> Level -> m (Level' (Blocked Term))
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
(a -> m b) -> t a -> m (t b)
forall (m :: * -> *) a b.
Monad m =>
(a -> m b) -> Level' a -> m (Level' b)
mapM Term -> m (Blocked Term)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Level
a
      Level' (Blocked Term)
bB <- (Term -> m (Blocked Term)) -> Level -> m (Level' (Blocked Term))
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
(a -> m b) -> t a -> m (t b)
forall (m :: * -> *) a b.
Monad m =>
(a -> m b) -> Level' a -> m (Level' b)
mapM Term -> m (Blocked Term)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Level
b

      m () -> m ()
wrap (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ case (Level' (Blocked Term) -> List1 (SingleLevel' (Blocked Term))
forall t. Level' t -> List1 (SingleLevel' t)
levelMaxView Level' (Blocked Term)
aB, Level' (Blocked Term) -> List1 (SingleLevel' (Blocked Term))
forall t. Level' t -> List1 (SingleLevel' t)
levelMaxView Level' (Blocked Term)
bB) of

        -- 0 ≤ any
        (SingleClosed Integer
0 :| [] , List1 (SingleLevel' (Blocked Term))
_) -> () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()

        -- any ≤ 0
        (List1 (SingleLevel' (Blocked Term))
as , SingleClosed Integer
0 :| []) ->
          List1 (SingleLevel' (Blocked Term))
-> (SingleLevel' (Blocked Term) -> m ()) -> m ()
forall (t :: * -> *) (m :: * -> *) a b.
(Foldable t, Monad m) =>
t a -> (a -> m b) -> m ()
forM_ List1 (SingleLevel' (Blocked Term))
as ((SingleLevel' (Blocked Term) -> m ()) -> m ())
-> (SingleLevel' (Blocked Term) -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \ SingleLevel' (Blocked Term)
a' -> Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
equalLevel (SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel (SingleLevel' Term -> Level) -> SingleLevel' Term -> Level
forall a b. (a -> b) -> a -> b
$ (Blocked Term -> Term)
-> SingleLevel' (Blocked Term) -> SingleLevel' Term
forall a b. (a -> b) -> SingleLevel' a -> SingleLevel' b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking SingleLevel' (Blocked Term)
a') (Integer -> Level
ClosedLevel Integer
0)

        -- closed ≤ closed
        (SingleClosed Integer
m :| [], SingleClosed Integer
n :| []) -> Bool -> m () -> m ()
forall (f :: * -> *). Applicative f => Bool -> f () -> f ()
unless (Integer
m Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
<= Integer
n) m ()
notok

        -- closed ≤ b
        (SingleClosed Integer
m :| [] , List1 (SingleLevel' (Blocked Term))
_)
          | Integer
m Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
<= Level -> Integer
levelLowerBound Level
b -> () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()

        -- as ≤ neutral/closed
        (List1 (SingleLevel' (Blocked Term))
as, List1 (SingleLevel' (Blocked Term))
bs)
          | (SingleLevel' (Blocked Term) -> Bool)
-> List1 (SingleLevel' (Blocked Term)) -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
all SingleLevel' (Blocked Term) -> Bool
forall {t} {a}. SingleLevel' (Blocked' t a) -> Bool
neutralOrClosed List1 (SingleLevel' (Blocked Term))
bs , Level -> Integer
levelLowerBound Level
a Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
> Level -> Integer
levelLowerBound Level
b -> m ()
notok

        -- ⊔ as ≤ single
        (as :: List1 (SingleLevel' (Blocked Term))
as@(SingleLevel' (Blocked Term)
_ :| SingleLevel' (Blocked Term)
_ : [SingleLevel' (Blocked Term)]
_), SingleLevel' (Blocked Term)
b :| []) ->
          List1 (SingleLevel' (Blocked Term))
-> (SingleLevel' (Blocked Term) -> m ()) -> m ()
forall (t :: * -> *) (m :: * -> *) a b.
(Foldable t, Monad m) =>
t a -> (a -> m b) -> m ()
forM_ List1 (SingleLevel' (Blocked Term))
as ((SingleLevel' (Blocked Term) -> m ()) -> m ())
-> (SingleLevel' (Blocked Term) -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \ SingleLevel' (Blocked Term)
a' -> Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel (SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel (SingleLevel' Term -> Level) -> SingleLevel' Term -> Level
forall a b. (a -> b) -> a -> b
$ Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking (Blocked Term -> Term)
-> SingleLevel' (Blocked Term) -> SingleLevel' Term
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> SingleLevel' (Blocked Term)
a')
                                      (SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel (SingleLevel' Term -> Level) -> SingleLevel' Term -> Level
forall a b. (a -> b) -> a -> b
$ Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking (Blocked Term -> Term)
-> SingleLevel' (Blocked Term) -> SingleLevel' Term
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> SingleLevel' (Blocked Term)
b)

        -- reduce constants
        (List1 (SingleLevel' (Blocked Term))
as, List1 (SingleLevel' (Blocked Term))
bs)
          | let minN :: Integer
minN = Integer -> Integer -> Integer
forall a. Ord a => a -> a -> a
min ((Integer, Level) -> Integer
forall a b. (a, b) -> a
fst ((Integer, Level) -> Integer) -> (Integer, Level) -> Integer
forall a b. (a -> b) -> a -> b
$ Level -> (Integer, Level)
levelPlusView Level
a) ((Integer, Level) -> Integer
forall a b. (a, b) -> a
fst ((Integer, Level) -> Integer) -> (Integer, Level) -> Integer
forall a b. (a -> b) -> a -> b
$ Level -> (Integer, Level)
levelPlusView Level
b)
                a' :: Level
a'   = Level -> Maybe Level -> Level
forall a. a -> Maybe a -> a
fromMaybe Level
forall a. HasCallStack => a
__IMPOSSIBLE__ (Maybe Level -> Level) -> Maybe Level -> Level
forall a b. (a -> b) -> a -> b
$ Integer -> Level -> Maybe Level
subLevel Integer
minN Level
a
                b' :: Level
b'   = Level -> Maybe Level -> Level
forall a. a -> Maybe a -> a
fromMaybe Level
forall a. HasCallStack => a
__IMPOSSIBLE__ (Maybe Level -> Level) -> Maybe Level -> Level
forall a b. (a -> b) -> a -> b
$ Integer -> Level -> Maybe Level
subLevel Integer
minN Level
b
          , Integer
minN Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
> Integer
0 -> Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel Level
a' Level
b'

        -- remove subsumed
        -- Andreas, 2014-04-07: This is ok if we do not go back to equalLevel
        (List1 (SingleLevel' (Blocked Term))
as, List1 (SingleLevel' (Blocked Term))
bs)
          | (subsumed :: [SingleLevel' (Blocked Term)]
subsumed@(SingleLevel' (Blocked Term)
_:[SingleLevel' (Blocked Term)]
_) , [SingleLevel' (Blocked Term)]
as') <- (SingleLevel' (Blocked Term) -> Bool)
-> List1 (SingleLevel' (Blocked Term))
-> ([SingleLevel' (Blocked Term)], [SingleLevel' (Blocked Term)])
forall a. (a -> Bool) -> NonEmpty a -> ([a], [a])
List1.partition (SingleLevel' Term -> Bool
isSubsumed (SingleLevel' Term -> Bool)
-> (SingleLevel' (Blocked Term) -> SingleLevel' Term)
-> SingleLevel' (Blocked Term)
-> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Blocked Term -> Term)
-> SingleLevel' (Blocked Term) -> SingleLevel' Term
forall a b. (a -> b) -> SingleLevel' a -> SingleLevel' b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking) List1 (SingleLevel' (Blocked Term))
as
          -> Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel ([SingleLevel' Term] -> Level
unSingleLevels ([SingleLevel' Term] -> Level) -> [SingleLevel' Term] -> Level
forall a b. (a -> b) -> a -> b
$ ((SingleLevel' (Blocked Term) -> SingleLevel' Term)
-> [SingleLevel' (Blocked Term)] -> [SingleLevel' Term]
forall a b. (a -> b) -> [a] -> [b]
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((SingleLevel' (Blocked Term) -> SingleLevel' Term)
 -> [SingleLevel' (Blocked Term)] -> [SingleLevel' Term])
-> ((Blocked Term -> Term)
    -> SingleLevel' (Blocked Term) -> SingleLevel' Term)
-> (Blocked Term -> Term)
-> [SingleLevel' (Blocked Term)]
-> [SingleLevel' Term]
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Blocked Term -> Term)
-> SingleLevel' (Blocked Term) -> SingleLevel' Term
forall a b. (a -> b) -> SingleLevel' a -> SingleLevel' b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap) Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking [SingleLevel' (Blocked Term)]
as') Level
b
          where
            isSubsumed :: SingleLevel' Term -> Bool
isSubsumed SingleLevel' Term
a = (SingleLevel' Term -> Bool) -> NonEmpty (SingleLevel' Term) -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
any (SingleLevel' Term -> SingleLevel' Term -> Bool
`subsumes` SingleLevel' Term
a) (NonEmpty (SingleLevel' Term) -> Bool)
-> NonEmpty (SingleLevel' Term) -> Bool
forall a b. (a -> b) -> a -> b
$ ((SingleLevel' (Blocked Term) -> SingleLevel' Term)
-> List1 (SingleLevel' (Blocked Term))
-> NonEmpty (SingleLevel' Term)
forall a b. (a -> b) -> NonEmpty a -> NonEmpty b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((SingleLevel' (Blocked Term) -> SingleLevel' Term)
 -> List1 (SingleLevel' (Blocked Term))
 -> NonEmpty (SingleLevel' Term))
-> ((Blocked Term -> Term)
    -> SingleLevel' (Blocked Term) -> SingleLevel' Term)
-> (Blocked Term -> Term)
-> List1 (SingleLevel' (Blocked Term))
-> NonEmpty (SingleLevel' Term)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Blocked Term -> Term)
-> SingleLevel' (Blocked Term) -> SingleLevel' Term
forall a b. (a -> b) -> SingleLevel' a -> SingleLevel' b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap) Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking List1 (SingleLevel' (Blocked Term))
bs

            subsumes :: SingleLevel -> SingleLevel -> Bool
            subsumes :: SingleLevel' Term -> SingleLevel' Term -> Bool
subsumes (SingleClosed Integer
m)        (SingleClosed Integer
n)        = Integer
m Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
>= Integer
n
            subsumes (SinglePlus (Plus Integer
m Term
_)) (SingleClosed Integer
n)        = Integer
m Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
>= Integer
n
            subsumes (SinglePlus (Plus Integer
m Term
a)) (SinglePlus (Plus Integer
n Term
b)) = Term
a Term -> Term -> Bool
forall a. Eq a => a -> a -> Bool
== Term
b Bool -> Bool -> Bool
&& Integer
m Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
>= Integer
n
            subsumes SingleLevel' Term
_ SingleLevel' Term
_ = Bool
False

        -- as ≤ _l x₁ .. xₙ ⊔ bs
        -- We can solve _l := λ x₁ .. xₙ -> as ⊔ (_l' x₁ .. xₙ)
        -- (where _l' is a new metavariable)
        (List1 (SingleLevel' (Blocked Term))
as , List1 (SingleLevel' (Blocked Term))
bs)
          | Bool
cumulativity
          , Bool -> Bool
not Bool
areWeComputingOverlap
          , Just (mb :: Term
mb@(MetaV MetaId
x Elims
es) , [SingleLevel' Term]
bs') <- [SingleLevel' Term] -> Maybe (Term, [SingleLevel' Term])
singleMetaView ([SingleLevel' Term] -> Maybe (Term, [SingleLevel' Term]))
-> [SingleLevel' Term] -> Maybe (Term, [SingleLevel' Term])
forall a b. (a -> b) -> a -> b
$ ((SingleLevel' (Blocked Term) -> SingleLevel' Term)
-> [SingleLevel' (Blocked Term)] -> [SingleLevel' Term]
forall a b. (a -> b) -> [a] -> [b]
map ((SingleLevel' (Blocked Term) -> SingleLevel' Term)
 -> [SingleLevel' (Blocked Term)] -> [SingleLevel' Term])
-> ((Blocked Term -> Term)
    -> SingleLevel' (Blocked Term) -> SingleLevel' Term)
-> (Blocked Term -> Term)
-> [SingleLevel' (Blocked Term)]
-> [SingleLevel' Term]
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Blocked Term -> Term)
-> SingleLevel' (Blocked Term) -> SingleLevel' Term
forall a b. (a -> b) -> SingleLevel' a -> SingleLevel' b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap) Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking (List1 (SingleLevel' (Blocked Term))
-> [Item (List1 (SingleLevel' (Blocked Term)))]
forall l. IsList l => l -> [Item l]
List1.toList List1 (SingleLevel' (Blocked Term))
bs)
          , [SingleLevel' Term] -> Bool
forall a. [a] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null [SingleLevel' Term]
bs' Bool -> Bool -> Bool
|| (Term, Level) -> Bool
forall a. AllMetas a => a -> Bool
noMetas (Level -> Term
Level Level
a , [SingleLevel' Term] -> Level
unSingleLevels [SingleLevel' Term]
bs') -> do
            MetaVariable
mv <- MetaId -> m MetaVariable
forall (m :: * -> *).
(HasCallStack, MonadDebug m, ReadTCState m) =>
MetaId -> m MetaVariable
lookupLocalMeta MetaId
x
            -- Jesper, 2019-10-13: abort if this is an interaction
            -- meta or a generalizable meta
            Bool
abort <- (Maybe InteractionId -> Bool
forall a. Maybe a -> Bool
isJust (Maybe InteractionId -> Bool) -> m (Maybe InteractionId) -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> MetaId -> m (Maybe InteractionId)
forall (m :: * -> *).
ReadTCState m =>
MetaId -> m (Maybe InteractionId)
isInteractionMeta MetaId
x) m Bool -> m Bool -> m Bool
forall (m :: * -> *). Monad m => m Bool -> m Bool -> m Bool
`or2M`
                     ((DoGeneralize -> DoGeneralize -> Bool
forall a. Eq a => a -> a -> Bool
== DoGeneralize
YesGeneralizeVar) (DoGeneralize -> Bool) -> m DoGeneralize -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> MetaId -> m DoGeneralize
forall (m :: * -> *).
(HasCallStack, MonadDebug m, ReadTCState m) =>
MetaId -> m DoGeneralize
isGeneralizableMeta MetaId
x)
            if | Bool
abort -> m ()
postpone
               | Bool
otherwise -> do
                  MetaId
x' <- case MetaVariable -> Judgement MetaId
mvJudgement MetaVariable
mv of
                    IsSort{} -> m MetaId
forall a. HasCallStack => a
__IMPOSSIBLE__
                    HasType MetaId
_ Comparison
cmp Type
t -> do
                      TelV Telescope
tel Type
t' <- Type -> m (TelV Type)
forall (m :: * -> *).
(MonadReduce m, MonadAddContext m) =>
Type -> m (TelV Type)
telView Type
t
                      Frozen
-> MetaInfo
-> MetaPriority
-> Permutation
-> Judgement ()
-> m MetaId
forall (m :: * -> *) a.
MonadMetaSolver m =>
Frozen
-> MetaInfo
-> MetaPriority
-> Permutation
-> Judgement a
-> m MetaId
newMeta Frozen
Instantiable (MetaVariable -> MetaInfo
mvInfo MetaVariable
mv) MetaPriority
normalMetaPriority (Int -> Permutation
idP (Int -> Permutation) -> Int -> Permutation
forall a b. (a -> b) -> a -> b
$ Telescope -> Int
forall a. Sized a => a -> Int
size Telescope
tel) (Judgement () -> m MetaId) -> Judgement () -> m MetaId
forall a b. (a -> b) -> a -> b
$ () -> Comparison -> Type -> Judgement ()
forall a. a -> Comparison -> Type -> Judgement a
HasType () Comparison
cmp Type
t
                  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep
                    [ TCMT IO Doc
"attempting to solve" , Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM (MetaId -> Elims -> Term
MetaV MetaId
x Elims
es) , TCMT IO Doc
"to the maximum of"
                    , Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM (Level -> Term
Level Level
a) , TCMT IO Doc
"and the fresh meta" , Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM (MetaId -> Elims -> Term
MetaV MetaId
x' Elims
es)
                    ]
                  Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
equalLevel (Term -> Level
forall t. t -> Level' t
atomicLevel Term
mb) (Level -> m ()) -> Level -> m ()
forall a b. (a -> b) -> a -> b
$ Level -> Level -> Level
levelLub Level
a (Term -> Level
forall t. t -> Level' t
atomicLevel (Term -> Level) -> Term -> Level
forall a b. (a -> b) -> a -> b
$ MetaId -> Elims -> Term
MetaV MetaId
x' Elims
es)


        -- Andreas, 2016-09-28: This simplification loses the solution lzero.
        -- Thus, it is invalid.
        -- See test/Succeed/LevelMetaLeqNeutralLevel.agda.
        -- -- [a] ≤ [neutral]
        -- ([a@(Plus n _)], [b@(Plus m NeutralLevel{})])
        --   | m == n -> equalLevel' (Max [a]) (Max [b])
        --   -- Andreas, 2014-04-07: This call to equalLevel is ok even if we removed
        --   -- subsumed terms from the lhs.

        -- anything else
        (List1 (SingleLevel' (Blocked Term)),
 List1 (SingleLevel' (Blocked Term)))
_ | (Level, Level) -> Bool
forall a. AllMetas a => a -> Bool
noMetas (Level
a, Level
b) -> m ()
notok
          | Bool
otherwise      -> m ()
postpone
      where
        neutralOrClosed :: SingleLevel' (Blocked' t a) -> Bool
neutralOrClosed (SingleClosed Integer
_)                   = Bool
True
        neutralOrClosed (SinglePlus (Plus Integer
_ NotBlocked{})) = Bool
True
        neutralOrClosed SingleLevel' (Blocked' t a)
_                                  = Bool
False

        -- Is there exactly one @MetaV@ in the list of single levels?
        singleMetaView :: [SingleLevel] -> Maybe (Term, [SingleLevel])
        singleMetaView :: [SingleLevel' Term] -> Maybe (Term, [SingleLevel' Term])
singleMetaView (SinglePlus (Plus Integer
0 l :: Term
l@(MetaV MetaId
m Elims
es)) : [SingleLevel' Term]
ls)
          | (SingleLevel' Term -> Bool) -> [SingleLevel' Term] -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
all (Bool -> Bool
not (Bool -> Bool)
-> (SingleLevel' Term -> Bool) -> SingleLevel' Term -> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. SingleLevel' Term -> Bool
isMetaLevel) [SingleLevel' Term]
ls = (Term, [SingleLevel' Term]) -> Maybe (Term, [SingleLevel' Term])
forall a. a -> Maybe a
Just (Term
l,[SingleLevel' Term]
ls)
        singleMetaView (SingleLevel' Term
l : [SingleLevel' Term]
ls)
          | Bool -> Bool
not (Bool -> Bool) -> Bool -> Bool
forall a b. (a -> b) -> a -> b
$ SingleLevel' Term -> Bool
isMetaLevel SingleLevel' Term
l = ([SingleLevel' Term] -> [SingleLevel' Term])
-> (Term, [SingleLevel' Term]) -> (Term, [SingleLevel' Term])
forall b c d. (b -> c) -> (d, b) -> (d, c)
forall (a :: * -> * -> *) b c d.
Arrow a =>
a b c -> a (d, b) (d, c)
second (SingleLevel' Term
lSingleLevel' Term -> [SingleLevel' Term] -> [SingleLevel' Term]
forall a. a -> [a] -> [a]
:) ((Term, [SingleLevel' Term]) -> (Term, [SingleLevel' Term]))
-> Maybe (Term, [SingleLevel' Term])
-> Maybe (Term, [SingleLevel' Term])
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> [SingleLevel' Term] -> Maybe (Term, [SingleLevel' Term])
singleMetaView [SingleLevel' Term]
ls
        singleMetaView [SingleLevel' Term]
_ = Maybe (Term, [SingleLevel' Term])
forall a. Maybe a
Nothing

        isMetaLevel :: SingleLevel -> Bool
        isMetaLevel :: SingleLevel' Term -> Bool
isMetaLevel (SinglePlus (Plus Integer
_ MetaV{})) = Bool
True
        isMetaLevel SingleLevel' Term
_                             = Bool
False

{-# SPECIALIZE equalLevel :: Level -> Level -> TCM () #-}
equalLevel :: forall m. MonadConversion m => Level -> Level -> m ()
equalLevel :: forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
equalLevel Level
a Level
b = do
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ TCMT IO Doc
"equalLevel", Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => m Doc -> m Doc
parens (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Level
a, Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => m Doc -> m Doc
parens (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Level
b ]
  ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare levels"
  -- Andreas, 2013-10-31 remove common terms (that don't contain metas!)
  -- THAT's actually UNSOUND when metas are instantiated, because
  --     max a b == max a c  does not imply  b == c
  -- as <- return $ Set.fromList $ closed0 as
  -- bs <- return $ Set.fromList $ closed0 bs
  -- let cs = Set.filter (not . hasMeta) $ Set.intersection as bs
  -- as <- return $ Set.toList $ as Set.\\ cs
  -- bs <- return $ Set.toList $ bs Set.\\ cs

  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
40 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
    [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ TCMT IO Doc
"equalLevel"
        , [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat [ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ Level -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Level -> m Doc
prettyTCM Level
a TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=="
                              , Level -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Level -> m Doc
prettyTCM Level
b
                              ]
               ]
        ]
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
80 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ TCMT IO Doc
"equalLevel", Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => m Doc -> m Doc
parens (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Level
a, Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => m Doc -> m Doc
parens (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Level
b ]

  (Level
a, Level
b) <- (Level, Level) -> m (Level, Level)
forall a (m :: * -> *). (Normalise a, MonadReduce m) => a -> m a
normalise (Level
a, Level
b)

  -- Jesper, 2014-02-02 remove terms that certainly do not contribute
  -- to the maximum
  let (Level
a', Level
b') = Level -> Level -> (Level, Level)
removeSubsumed Level
a Level
b

  Level
-> Level
-> (Level -> Level -> m ())
-> (Level -> Level -> m ())
-> m ()
forall a (m :: * -> *) b.
(Instantiate a, SynEq a, MonadReduce m) =>
a -> a -> (a -> a -> m b) -> (a -> a -> m b) -> m b
SynEq.checkSyntacticEquality' Level
a' Level
b'
    (\Level
_ Level
_ ->
      String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
60
        TCMT IO Doc
"checkSyntacticEquality returns True") ((Level -> Level -> m ()) -> m ())
-> (Level -> Level -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \Level
a Level
b -> do

  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
60 TCMT IO Doc
"checkSyntacticEquality returns False"

  let notok :: m ()
notok    = m Bool -> m () -> m ()
forall (m :: * -> *). Monad m => m Bool -> m () -> m ()
unlessM m Bool
forall (m :: * -> *). HasOptions m => m Bool
typeInType m ()
notOk
      notOk :: m ()
notOk    = TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Level -> Level -> TypeError
UnequalLevel Comparison
CmpEq Level
a' Level
b'
      postpone :: m ()
postpone = do
        String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc -> Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *).
Applicative m =>
m Doc -> Int -> m Doc -> m Doc
hang TCMT IO Doc
"postponing:" Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc -> Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *).
Applicative m =>
m Doc -> Int -> m Doc -> m Doc
hang (Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Level
a' TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"==") Int
0 (Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Level
b')
        Blocker
blocker <- (Level, Level) -> Blocker
forall t. AllMetas t => t -> Blocker
unblockOnAnyMetaIn ((Level, Level) -> Blocker) -> m (Level, Level) -> m Blocker
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> (Level, Level) -> m (Level, Level)
forall a (m :: * -> *).
(InstantiateFull a, MonadReduce m) =>
a -> m a
instantiateFull (Level
a', Level
b')
        Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
blocker

  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
    [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ TCMT IO Doc
"equalLevel (w/o subsumed)"
        , [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat [ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ Level -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Level -> m Doc
prettyTCM Level
a' TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=="
                              , Level -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Level -> m Doc
prettyTCM Level
b'
                              ]
               ]
        ]

  let as :: NonEmpty (SingleLevel' Term)
as  = Level -> NonEmpty (SingleLevel' Term)
forall t. Level' t -> List1 (SingleLevel' t)
levelMaxView Level
a'
      bs :: NonEmpty (SingleLevel' Term)
bs  = Level -> NonEmpty (SingleLevel' Term)
forall t. Level' t -> List1 (SingleLevel' t)
levelMaxView Level
b'
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
    [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text String
"equalLevel"
        , [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat [ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Semigroup (m Doc), Foldable t) =>
t (m Doc) -> m Doc
prettyList_ (NonEmpty (TCMT IO Doc) -> TCMT IO Doc)
-> NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ (SingleLevel' Term -> TCMT IO Doc)
-> NonEmpty (SingleLevel' Term) -> NonEmpty (TCMT IO Doc)
forall a b. (a -> b) -> NonEmpty a -> NonEmpty b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (Level -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Level -> m Doc
prettyTCM (Level -> TCMT IO Doc)
-> (SingleLevel' Term -> Level) -> SingleLevel' Term -> TCMT IO Doc
forall b c a. (b -> c) -> (a -> b) -> a -> c
. SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel) NonEmpty (SingleLevel' Term)
as
                              , TCMT IO Doc
"=="
                              , NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Semigroup (m Doc), Foldable t) =>
t (m Doc) -> m Doc
prettyList_ (NonEmpty (TCMT IO Doc) -> TCMT IO Doc)
-> NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ (SingleLevel' Term -> TCMT IO Doc)
-> NonEmpty (SingleLevel' Term) -> NonEmpty (TCMT IO Doc)
forall a b. (a -> b) -> NonEmpty a -> NonEmpty b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (Level -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Level -> m Doc
prettyTCM (Level -> TCMT IO Doc)
-> (SingleLevel' Term -> Level) -> SingleLevel' Term -> TCMT IO Doc
forall b c a. (b -> c) -> (a -> b) -> a -> c
. SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel) NonEmpty (SingleLevel' Term)
bs
                              ]
               ]
        ]

  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.level" Int
80 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
    [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text String
"equalLevel"
        , [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat [ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Semigroup (m Doc), Foldable t) =>
t (m Doc) -> m Doc
prettyList_ (NonEmpty (TCMT IO Doc) -> TCMT IO Doc)
-> NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ (SingleLevel' Term -> TCMT IO Doc)
-> NonEmpty (SingleLevel' Term) -> NonEmpty (TCMT IO Doc)
forall a b. (a -> b) -> NonEmpty a -> NonEmpty b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty (Level -> TCMT IO Doc)
-> (SingleLevel' Term -> Level) -> SingleLevel' Term -> TCMT IO Doc
forall b c a. (b -> c) -> (a -> b) -> a -> c
. SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel) NonEmpty (SingleLevel' Term)
as
                              , TCMT IO Doc
"=="
                              , NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Semigroup (m Doc), Foldable t) =>
t (m Doc) -> m Doc
prettyList_ (NonEmpty (TCMT IO Doc) -> TCMT IO Doc)
-> NonEmpty (TCMT IO Doc) -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ (SingleLevel' Term -> TCMT IO Doc)
-> NonEmpty (SingleLevel' Term) -> NonEmpty (TCMT IO Doc)
forall a b. (a -> b) -> NonEmpty a -> NonEmpty b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty (Level -> TCMT IO Doc)
-> (SingleLevel' Term -> Level) -> SingleLevel' Term -> TCMT IO Doc
forall b c a. (b -> c) -> (a -> b) -> a -> c
. SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel) NonEmpty (SingleLevel' Term)
bs
                              ]
               ]
        ]

  -- Extra reduce on level atoms, but should be cheap since they are already reduced.
  List1 (SingleLevel' (Blocked Term))
as <- ((SingleLevel' Term -> m (SingleLevel' (Blocked Term)))
-> NonEmpty (SingleLevel' Term)
-> m (List1 (SingleLevel' (Blocked Term)))
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
(a -> m b) -> t a -> m (t b)
forall (m :: * -> *) a b.
Monad m =>
(a -> m b) -> NonEmpty a -> m (NonEmpty b)
mapM ((SingleLevel' Term -> m (SingleLevel' (Blocked Term)))
 -> NonEmpty (SingleLevel' Term)
 -> m (List1 (SingleLevel' (Blocked Term))))
-> ((Term -> m (Blocked Term))
    -> SingleLevel' Term -> m (SingleLevel' (Blocked Term)))
-> (Term -> m (Blocked Term))
-> NonEmpty (SingleLevel' Term)
-> m (List1 (SingleLevel' (Blocked Term)))
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Term -> m (Blocked Term))
-> SingleLevel' Term -> m (SingleLevel' (Blocked Term))
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
(a -> m b) -> t a -> m (t b)
forall (m :: * -> *) a b.
Monad m =>
(a -> m b) -> SingleLevel' a -> m (SingleLevel' b)
mapM) Term -> m (Blocked Term)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB NonEmpty (SingleLevel' Term)
as
  List1 (SingleLevel' (Blocked Term))
bs <- ((SingleLevel' Term -> m (SingleLevel' (Blocked Term)))
-> NonEmpty (SingleLevel' Term)
-> m (List1 (SingleLevel' (Blocked Term)))
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
(a -> m b) -> t a -> m (t b)
forall (m :: * -> *) a b.
Monad m =>
(a -> m b) -> NonEmpty a -> m (NonEmpty b)
mapM ((SingleLevel' Term -> m (SingleLevel' (Blocked Term)))
 -> NonEmpty (SingleLevel' Term)
 -> m (List1 (SingleLevel' (Blocked Term))))
-> ((Term -> m (Blocked Term))
    -> SingleLevel' Term -> m (SingleLevel' (Blocked Term)))
-> (Term -> m (Blocked Term))
-> NonEmpty (SingleLevel' Term)
-> m (List1 (SingleLevel' (Blocked Term)))
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Term -> m (Blocked Term))
-> SingleLevel' Term -> m (SingleLevel' (Blocked Term))
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
(a -> m b) -> t a -> m (t b)
forall (m :: * -> *) a b.
Monad m =>
(a -> m b) -> SingleLevel' a -> m (SingleLevel' b)
mapM) Term -> m (Blocked Term)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB NonEmpty (SingleLevel' Term)
bs

  Constraint -> m () -> m ()
forall (m :: * -> *).
MonadConstraint m =>
Constraint -> m () -> m ()
catchConstraint (Comparison -> Level -> Level -> Constraint
LevelCmp Comparison
CmpEq Level
a Level
b) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ case (List1 (SingleLevel' (Blocked Term))
as, List1 (SingleLevel' (Blocked Term))
bs) of

        -- closed == closed
        (SingleClosed Integer
m :| [], SingleClosed Integer
n :| [])
          | Integer
m Integer -> Integer -> Bool
forall a. Eq a => a -> a -> Bool
== Integer
n    -> () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()
          | Bool
otherwise -> m ()
notok

        -- closed == neutral
        (SingleClosed Integer
m :| [] , List1 (SingleLevel' (Blocked Term))
bs) | (SingleLevel' (Blocked Term) -> Bool)
-> List1 (SingleLevel' (Blocked Term)) -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
any SingleLevel' (Blocked Term) -> Bool
forall {t} {a}. SingleLevel' (Blocked' t a) -> Bool
isNeutral List1 (SingleLevel' (Blocked Term))
bs -> m ()
notok
        (List1 (SingleLevel' (Blocked Term))
as , SingleClosed Integer
n :| []) | (SingleLevel' (Blocked Term) -> Bool)
-> List1 (SingleLevel' (Blocked Term)) -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
any SingleLevel' (Blocked Term) -> Bool
forall {t} {a}. SingleLevel' (Blocked' t a) -> Bool
isNeutral List1 (SingleLevel' (Blocked Term))
as -> m ()
notok

        -- closed == b
        (SingleClosed Integer
m :| [] , List1 (SingleLevel' (Blocked Term))
_) | Integer
m Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
< Level -> Integer
levelLowerBound Level
b -> m ()
notok
        (List1 (SingleLevel' (Blocked Term))
_ , SingleClosed Integer
n :| []) | Integer
n Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
< Level -> Integer
levelLowerBound Level
a -> m ()
notok

        -- 0 == a ⊔ b
        (SingleClosed Integer
0 :| [] , bs :: List1 (SingleLevel' (Blocked Term))
bs@(SingleLevel' (Blocked Term)
_ :| SingleLevel' (Blocked Term)
_ : [SingleLevel' (Blocked Term)]
_)) ->
          List1 (SingleLevel' (Blocked Term))
-> (SingleLevel' (Blocked Term) -> m ()) -> m ()
forall (t :: * -> *) (m :: * -> *) a b.
(Foldable t, Monad m) =>
t a -> (a -> m b) -> m ()
forM_ List1 (SingleLevel' (Blocked Term))
bs ((SingleLevel' (Blocked Term) -> m ()) -> m ())
-> (SingleLevel' (Blocked Term) -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \ SingleLevel' (Blocked Term)
b' ->  Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
equalLevel (Integer -> Level
ClosedLevel Integer
0) (SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel (SingleLevel' Term -> Level) -> SingleLevel' Term -> Level
forall a b. (a -> b) -> a -> b
$ Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking (Blocked Term -> Term)
-> SingleLevel' (Blocked Term) -> SingleLevel' Term
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> SingleLevel' (Blocked Term)
b')
        (as :: List1 (SingleLevel' (Blocked Term))
as@(SingleLevel' (Blocked Term)
_ :| SingleLevel' (Blocked Term)
_ : [SingleLevel' (Blocked Term)]
_) , SingleClosed Integer
0 :| []) ->
          List1 (SingleLevel' (Blocked Term))
-> (SingleLevel' (Blocked Term) -> m ()) -> m ()
forall (t :: * -> *) (m :: * -> *) a b.
(Foldable t, Monad m) =>
t a -> (a -> m b) -> m ()
forM_ List1 (SingleLevel' (Blocked Term))
as ((SingleLevel' (Blocked Term) -> m ()) -> m ())
-> (SingleLevel' (Blocked Term) -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \ SingleLevel' (Blocked Term)
a' -> Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
equalLevel (SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel (SingleLevel' Term -> Level) -> SingleLevel' Term -> Level
forall a b. (a -> b) -> a -> b
$ Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking (Blocked Term -> Term)
-> SingleLevel' (Blocked Term) -> SingleLevel' Term
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> SingleLevel' (Blocked Term)
a') (Integer -> Level
ClosedLevel Integer
0)

        -- meta == any
        (SinglePlus (Plus Integer
k Blocked Term
a) :| [] , SinglePlus (Plus Integer
l Blocked Term
b) :| [])
          -- there is only a potential choice when k == l
          | MetaV MetaId
x Elims
as' <- Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
a
          , MetaV MetaId
y Elims
bs' <- Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
b
          , Integer
k Integer -> Integer -> Bool
forall a. Eq a => a -> a -> Bool
== Integer
l -> do
              Type
lvl <- m Type
forall (m :: * -> *). HasBuiltins m => m Type
levelType'
              Comparison
-> CompareAs -> MetaId -> Elims -> MetaId -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison
-> CompareAs -> MetaId -> Elims -> MetaId -> Elims -> m ()
compareMetas Comparison
CmpEq (Type -> CompareAs
AsTermsOf Type
lvl) MetaId
x Elims
as' MetaId
y Elims
bs'
        (SinglePlus (Plus Integer
k Blocked Term
a) :| [] , List1 (SingleLevel' (Blocked Term))
_)
          | MetaV MetaId
x Elims
as' <- Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
a
          , Just Level
b' <- Integer -> Level -> Maybe Level
subLevel Integer
k Level
b -> MetaId -> Elims -> Level -> m ()
forall {m :: * -> *}.
(MonadMetaSolver m, MonadWarning m, MonadStatistics m,
 MonadFresh ProblemId m, MonadFresh Int m) =>
MetaId -> Elims -> Level -> m ()
meta MetaId
x Elims
as' Level
b'
        (List1 (SingleLevel' (Blocked Term))
_ , SinglePlus (Plus Integer
l Blocked Term
b) :| [])
          | MetaV MetaId
y Elims
bs' <- Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
b
          , Just Level
a' <- Integer -> Level -> Maybe Level
subLevel Integer
l Level
a -> MetaId -> Elims -> Level -> m ()
forall {m :: * -> *}.
(MonadMetaSolver m, MonadWarning m, MonadStatistics m,
 MonadFresh ProblemId m, MonadFresh Int m) =>
MetaId -> Elims -> Level -> m ()
meta MetaId
y Elims
bs' Level
a'

        -- a' ⊔ b == b
        (List1 (SingleLevel' (Blocked Term)),
 List1 (SingleLevel' (Blocked Term)))
_ | Just Level
a' <- Level -> Level -> Maybe Level
levelMaxDiff Level
a Level
b
          , Level
b Level -> Level -> Bool
forall a. Eq a => a -> a -> Bool
/= Integer -> Level
ClosedLevel Integer
0 -> Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel Level
a' Level
b

        -- a == b' ⊔ a
        (List1 (SingleLevel' (Blocked Term)),
 List1 (SingleLevel' (Blocked Term)))
_ | Just Level
b' <- Level -> Level -> Maybe Level
levelMaxDiff Level
b Level
a
          , Level
a Level -> Level -> Bool
forall a. Eq a => a -> a -> Bool
/= Integer -> Level
ClosedLevel Integer
0 -> Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel Level
b' Level
a

        -- neutral/closed == neutral/closed
        (List1 (SingleLevel' (Blocked Term))
as , List1 (SingleLevel' (Blocked Term))
bs)
          | (SingleLevel' (Blocked Term) -> Bool)
-> List1 (SingleLevel' (Blocked Term)) -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
all SingleLevel' (Blocked Term) -> Bool
forall {t} {a}. SingleLevel' (Blocked' t a) -> Bool
isNeutralOrClosed (List1 (SingleLevel' (Blocked Term))
as List1 (SingleLevel' (Blocked Term))
-> List1 (SingleLevel' (Blocked Term))
-> List1 (SingleLevel' (Blocked Term))
forall a. Semigroup a => a -> a -> a
<> List1 (SingleLevel' (Blocked Term))
bs)
          -- Andreas, 2013-10-31: There could be metas in neutral levels (see Issue 930).
          -- Should not we postpone there as well?  Yes!
          , Bool -> Bool
not ((SingleLevel' (Blocked Term) -> Bool)
-> List1 (SingleLevel' (Blocked Term)) -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
any SingleLevel' (Blocked Term) -> Bool
forall {a} {t}. AllMetas a => SingleLevel' (Blocked' t a) -> Bool
hasMeta (List1 (SingleLevel' (Blocked Term))
as List1 (SingleLevel' (Blocked Term))
-> List1 (SingleLevel' (Blocked Term))
-> List1 (SingleLevel' (Blocked Term))
forall a. Semigroup a => a -> a -> a
<> List1 (SingleLevel' (Blocked Term))
bs))
          , List1 (SingleLevel' (Blocked Term)) -> Int
forall a. NonEmpty a -> Int
forall (t :: * -> *) a. Foldable t => t a -> Int
length List1 (SingleLevel' (Blocked Term))
as Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== List1 (SingleLevel' (Blocked Term)) -> Int
forall a. NonEmpty a -> Int
forall (t :: * -> *) a. Foldable t => t a -> Int
length List1 (SingleLevel' (Blocked Term))
bs -> do
              String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.conv.level" Int
60 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"equalLevel: all are neutral or closed"
              (SingleLevel' (Blocked Term)
 -> SingleLevel' (Blocked Term) -> m ())
-> List1 (SingleLevel' (Blocked Term))
-> List1 (SingleLevel' (Blocked Term))
-> m ()
forall (m :: * -> *) a b c.
Applicative m =>
(a -> b -> m c) -> List1 a -> List1 b -> m ()
List1.zipWithM_ (Term -> Term -> m ()
forall {m :: * -> *}.
(MonadMetaSolver m, MonadWarning m, MonadStatistics m,
 MonadFresh ProblemId m, MonadFresh Int m) =>
Term -> Term -> m ()
(===) (Term -> Term -> m ())
-> (SingleLevel' (Blocked Term) -> Term)
-> SingleLevel' (Blocked Term)
-> SingleLevel' (Blocked Term)
-> m ()
forall b c a. (b -> b -> c) -> (a -> b) -> a -> a -> c
`on` Level -> Term
levelTm (Level -> Term)
-> (SingleLevel' (Blocked Term) -> Level)
-> SingleLevel' (Blocked Term)
-> Term
forall b c a. (b -> c) -> (a -> b) -> a -> c
. SingleLevel' Term -> Level
forall t. SingleLevel' t -> Level' t
unSingleLevel (SingleLevel' Term -> Level)
-> (SingleLevel' (Blocked Term) -> SingleLevel' Term)
-> SingleLevel' (Blocked Term)
-> Level
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Blocked Term -> Term)
-> SingleLevel' (Blocked Term) -> SingleLevel' Term
forall a b. (a -> b) -> SingleLevel' a -> SingleLevel' b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking) List1 (SingleLevel' (Blocked Term))
as List1 (SingleLevel' (Blocked Term))
bs

        -- more cases?
        (List1 (SingleLevel' (Blocked Term)),
 List1 (SingleLevel' (Blocked Term)))
_ | (Level, Level) -> Bool
forall a. AllMetas a => a -> Bool
noMetas (Level
a , Level
b) -> m ()
notok
          | Bool
otherwise       -> m ()
postpone

      where
        Term
a === :: Term -> Term -> m ()
=== Term
b = m Bool -> m () -> m ()
forall (m :: * -> *). Monad m => m Bool -> m () -> m ()
unlessM m Bool
forall (m :: * -> *). HasOptions m => m Bool
typeInType (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ do
          Type
lvl <- m Type
forall (m :: * -> *). HasBuiltins m => m Type
levelType'
          CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareAs -> Term -> Term -> m ()
equalAtom (Type -> CompareAs
AsTermsOf Type
lvl) Term
a Term
b

        -- perform assignment (MetaV x as) := b
        meta :: MetaId -> Elims -> Level -> m ()
meta MetaId
x Elims
as Level
b = do
          String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.meta.level" Int
30 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"Assigning meta level"
          String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.meta.level" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"meta" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [[TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Semigroup (m Doc), Foldable t) =>
t (m Doc) -> m Doc
prettyList ([TCMT IO Doc] -> TCMT IO Doc) -> [TCMT IO Doc] -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ (Elim' Term -> TCMT IO Doc) -> Elims -> [TCMT IO Doc]
forall a b. (a -> b) -> [a] -> [b]
map Elim' Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Elims
as, Level -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Level
b]
          Type
lvl <- m Type
forall (m :: * -> *). HasBuiltins m => m Type
levelType'
          CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
assignE CompareDirection
DirEq MetaId
x Elims
as (Level -> Term
levelTm Level
b) (Type -> CompareAs
AsTermsOf Type
lvl) Term -> Term -> m ()
forall {m :: * -> *}.
(MonadMetaSolver m, MonadWarning m, MonadStatistics m,
 MonadFresh ProblemId m, MonadFresh Int m) =>
Term -> Term -> m ()
(===) -- fallback: check equality as atoms

        isNeutral :: SingleLevel' (Blocked' t a) -> Bool
isNeutral (SinglePlus (Plus Integer
_ NotBlocked{})) = Bool
True
        isNeutral SingleLevel' (Blocked' t a)
_                                  = Bool
False

        isNeutralOrClosed :: SingleLevel' (Blocked' t a) -> Bool
isNeutralOrClosed (SingleClosed Integer
_)                   = Bool
True
        isNeutralOrClosed (SinglePlus (Plus Integer
_ NotBlocked{})) = Bool
True
        isNeutralOrClosed SingleLevel' (Blocked' t a)
_                                  = Bool
False

        hasMeta :: SingleLevel' (Blocked' t a) -> Bool
hasMeta (SinglePlus (Plus Integer
_ Blocked{})) = Bool
True
        hasMeta (SinglePlus (Plus Integer
_ Blocked' t a
a))         = Maybe MetaId -> Bool
forall a. Maybe a -> Bool
isJust (Maybe MetaId -> Bool) -> Maybe MetaId -> Bool
forall a b. (a -> b) -> a -> b
$ a -> Maybe MetaId
forall a. AllMetas a => a -> Maybe MetaId
firstMeta (a -> Maybe MetaId) -> a -> Maybe MetaId
forall a b. (a -> b) -> a -> b
$ Blocked' t a -> a
forall t a. Blocked' t a -> a
ignoreBlocking Blocked' t a
a
        hasMeta (SingleClosed Integer
_)                = Bool
False

        removeSubsumed :: Level -> Level -> (Level, Level)
removeSubsumed Level
a Level
b =
          let as :: [Item (NonEmpty (SingleLevel' Term))]
as = NonEmpty (SingleLevel' Term)
-> [Item (NonEmpty (SingleLevel' Term))]
forall l. IsList l => l -> [Item l]
List1.toList (NonEmpty (SingleLevel' Term)
 -> [Item (NonEmpty (SingleLevel' Term))])
-> NonEmpty (SingleLevel' Term)
-> [Item (NonEmpty (SingleLevel' Term))]
forall a b. (a -> b) -> a -> b
$ Level -> NonEmpty (SingleLevel' Term)
forall t. Level' t -> List1 (SingleLevel' t)
levelMaxView Level
a
              bs :: [Item (NonEmpty (SingleLevel' Term))]
bs = NonEmpty (SingleLevel' Term)
-> [Item (NonEmpty (SingleLevel' Term))]
forall l. IsList l => l -> [Item l]
List1.toList (NonEmpty (SingleLevel' Term)
 -> [Item (NonEmpty (SingleLevel' Term))])
-> NonEmpty (SingleLevel' Term)
-> [Item (NonEmpty (SingleLevel' Term))]
forall a b. (a -> b) -> a -> b
$ Level -> NonEmpty (SingleLevel' Term)
forall t. Level' t -> List1 (SingleLevel' t)
levelMaxView Level
b
              a' :: Level
a' = [SingleLevel' Term] -> Level
unSingleLevels ([SingleLevel' Term] -> Level) -> [SingleLevel' Term] -> Level
forall a b. (a -> b) -> a -> b
$ (SingleLevel' Term -> Bool)
-> [SingleLevel' Term] -> [SingleLevel' Term]
forall a. (a -> Bool) -> [a] -> [a]
filter (Bool -> Bool
not (Bool -> Bool)
-> (SingleLevel' Term -> Bool) -> SingleLevel' Term -> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (SingleLevel' Term -> [SingleLevel' Term] -> Bool
forall {t :: * -> *} {a}.
(Foldable t, Eq a) =>
SingleLevel' a -> t (SingleLevel' a) -> Bool
`isStrictlySubsumedBy` [Item (NonEmpty (SingleLevel' Term))]
[SingleLevel' Term]
bs)) [Item (NonEmpty (SingleLevel' Term))]
[SingleLevel' Term]
as
              b' :: Level
b' = [SingleLevel' Term] -> Level
unSingleLevels ([SingleLevel' Term] -> Level) -> [SingleLevel' Term] -> Level
forall a b. (a -> b) -> a -> b
$ (SingleLevel' Term -> Bool)
-> [SingleLevel' Term] -> [SingleLevel' Term]
forall a. (a -> Bool) -> [a] -> [a]
filter (Bool -> Bool
not (Bool -> Bool)
-> (SingleLevel' Term -> Bool) -> SingleLevel' Term -> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (SingleLevel' Term -> [SingleLevel' Term] -> Bool
forall {t :: * -> *} {a}.
(Foldable t, Eq a) =>
SingleLevel' a -> t (SingleLevel' a) -> Bool
`isStrictlySubsumedBy` [Item (NonEmpty (SingleLevel' Term))]
[SingleLevel' Term]
as)) [Item (NonEmpty (SingleLevel' Term))]
[SingleLevel' Term]
bs
          in (Level
a',Level
b')

        SingleLevel' a
x isStrictlySubsumedBy :: SingleLevel' a -> t (SingleLevel' a) -> Bool
`isStrictlySubsumedBy` t (SingleLevel' a)
ys = (SingleLevel' a -> Bool) -> t (SingleLevel' a) -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
any (SingleLevel' a -> SingleLevel' a -> Bool
forall {a}. Eq a => SingleLevel' a -> SingleLevel' a -> Bool
`strictlySubsumes` SingleLevel' a
x) t (SingleLevel' a)
ys

        SingleClosed Integer
m        strictlySubsumes :: SingleLevel' a -> SingleLevel' a -> Bool
`strictlySubsumes` SingleClosed Integer
n        = Integer
m Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
> Integer
n
        SinglePlus (Plus Integer
m a
a) `strictlySubsumes` SingleClosed Integer
n        = Integer
m Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
> Integer
n
        SinglePlus (Plus Integer
m a
a) `strictlySubsumes` SinglePlus (Plus Integer
n a
b) = a
a a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
b Bool -> Bool -> Bool
&& Integer
m Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
> Integer
n
        SingleLevel' a
_                     `strictlySubsumes` SingleLevel' a
_                     = Bool
False


{-# SPECIALIZE equalSort :: Sort -> Sort -> TCM () #-}
-- | Check that the first sort equal to the second.
equalSort :: forall m. MonadConversion m => Sort -> Sort -> m ()
equalSort :: forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s1 Sort
s2 = do
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.sort" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep
    [ TCMT IO Doc
"equalSort"
    , [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat [ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [ Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s1 TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=="
                           , Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s2 ]
           ]
    ]
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.sort" Int
60 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep
    [ TCMT IO Doc
"equalSort"
    , [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat [ Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [ Sort -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Sort
s1 TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=="
                           , Sort -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Sort
s2 ]
           ]
    ]
  ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare sorts"

  Sort -> Sort -> String -> m () -> m ()
forall (m :: * -> *) a.
MonadConversion m =>
a -> a -> String -> m () -> m ()
guardPointerEquality Sort
s1 Sort
s2 String
"pointer equality: sorts" (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$
    Sort
-> Sort -> (Sort -> Sort -> m ()) -> (Sort -> Sort -> m ()) -> m ()
forall a (m :: * -> *) b.
(Instantiate a, SynEq a, MonadReduce m) =>
a -> a -> (a -> a -> m b) -> (a -> a -> m b) -> m b
SynEq.checkSyntacticEquality Sort
s1 Sort
s2 (\Sort
_ Sort
_ -> () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()) ((Sort -> Sort -> m ()) -> m ()) -> (Sort -> Sort -> m ()) -> m ()
forall a b. (a -> b) -> a -> b
$ \Sort
s1 Sort
s2 -> do

    Blocked Sort
s1b <- Sort -> m (Blocked Sort)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Sort
s1
    Blocked Sort
s2b <- Sort -> m (Blocked Sort)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Sort
s2

    let (Sort
s1,Sort
s2) = (Blocked Sort -> Sort
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Sort
s1b, Blocked Sort -> Sort
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Sort
s2b)
        blocker :: Blocker
blocker = Blocker -> Blocker -> Blocker
unblockOnEither (Blocked Sort -> Blocker
forall t a. Blocked' t a -> Blocker
getBlocker Blocked Sort
s1b) (Blocked Sort -> Blocker
forall t a. Blocked' t a -> Blocker
getBlocker Blocked Sort
s2b)

    let postponeIfBlocked :: m () -> m ()
postponeIfBlocked = (Blocker -> m ()) -> m () -> m ()
forall a. (Blocker -> m a) -> m a -> m a
forall (m :: * -> *) a.
MonadBlock m =>
(Blocker -> m a) -> m a -> m a
catchPatternErr ((Blocker -> m ()) -> m () -> m ())
-> (Blocker -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ \Blocker
blocker ->
          if | Blocker
blocker Blocker -> Blocker -> Bool
forall a. Eq a => a -> a -> Bool
== Blocker
neverUnblock -> TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Sort -> Sort -> TypeError
UnequalSorts Sort
s1 Sort
s2
             | Bool
otherwise -> do
                 String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.sort" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
                   [ TCMT IO Doc
"Postponing constraint"
                   , Int -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Functor m => Int -> m Doc -> m Doc
nest Int
2 (TCMT IO Doc -> TCMT IO Doc) -> TCMT IO Doc -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [ Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s1 TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=="
                                   , Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s2 ]
                   ]
                 Blocker -> Constraint -> m ()
forall (m :: * -> *).
MonadConstraint m =>
Blocker -> Constraint -> m ()
addConstraint Blocker
blocker (Constraint -> m ()) -> Constraint -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Sort -> Sort -> Constraint
SortCmp Comparison
CmpEq Sort
s1 Sort
s2

    Bool
propEnabled <- m Bool
forall (m :: * -> *). HasOptions m => m Bool
isPropEnabled
    Bool
typeInTypeEnabled <- m Bool
forall (m :: * -> *). HasOptions m => m Bool
typeInType
    Bool
omegaInOmegaEnabled <- PragmaOptions -> Bool
optOmegaInOmega (PragmaOptions -> Bool) -> m PragmaOptions -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> m PragmaOptions
forall (m :: * -> *). HasOptions m => m PragmaOptions
pragmaOptions
    let infInInf :: Bool
infInInf = Bool
typeInTypeEnabled Bool -> Bool -> Bool
|| Bool
omegaInOmegaEnabled

    m () -> m ()
postponeIfBlocked (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ case (Sort
s1, Sort
s2) of

            -- Andreas, 2018-09-03: crash on dummy sort
            (DummyS String
s, Sort
_) -> String -> m ()
forall {m :: * -> *} {a} {b}.
(ReportS [a], MonadDebug m, IsString a) =>
a -> m b
impossibleSort String
s
            (Sort
_, DummyS String
s) -> String -> m ()
forall {m :: * -> *} {a} {b}.
(ReportS [a], MonadDebug m, IsString a) =>
a -> m b
impossibleSort String
s

            -- one side is a meta sort: try to instantiate
            -- In case both sides are meta sorts, instantiate the
            -- bigger (i.e. more recent) one.
            (MetaS MetaId
x Elims
es , MetaS MetaId
y Elims
es') -> Comparison
-> CompareAs -> MetaId -> Elims -> MetaId -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison
-> CompareAs -> MetaId -> Elims -> MetaId -> Elims -> m ()
compareMetas Comparison
CmpEq CompareAs
AsTypes MetaId
x Elims
es MetaId
y Elims
es'
            (MetaS MetaId
x Elims
es , Sort
_          ) -> MetaId -> Elims -> Sort -> m ()
meta MetaId
x Elims
es Sort
s2
            (Sort
_          , MetaS MetaId
x Elims
es ) -> MetaId -> Elims -> Sort -> m ()
meta MetaId
x Elims
es Sort
s1

            -- diagonal cases for rigid sorts
            (Univ Univ
u Level
a   , Univ Univ
u' Level
b  ) | Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
== Univ
u' -> Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
equalLevel Level
a Level
b m () -> m () -> m ()
forall {m :: * -> *} {a}. MonadError TCErr m => m a -> m a -> m a
`catchInequalLevel` m ()
forall {a}. m a
no
            (Sort
SizeUniv   , Sort
SizeUniv   ) -> m ()
yes
            (Sort
LockUniv   , Sort
LockUniv   ) -> m ()
yes
            (Sort
LevelUniv  , Sort
LevelUniv  ) -> m ()
yes
            (Sort
IntervalUniv , Sort
IntervalUniv) -> m ()
yes
            (Inf Univ
u Integer
m    , Inf Univ
u' Integer
n   ) ->
              if Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
== Univ
u' Bool -> Bool -> Bool
&& (Integer
m Integer -> Integer -> Bool
forall a. Eq a => a -> a -> Bool
== Integer
n Bool -> Bool -> Bool
|| Bool
infInInf) then m ()
yes else m ()
forall {a}. m a
no

            -- if --type-in-type is enabled, Setωᵢ is equal to any Set ℓ (see #3439)
            (Univ Univ
u Level
_   , Inf  Univ
u' Integer
_  ) -> Bool -> m ()
answer (Bool -> m ()) -> Bool -> m ()
forall a b. (a -> b) -> a -> b
$ Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
== Univ
u' Bool -> Bool -> Bool
&& Bool
typeInTypeEnabled
            (Inf  Univ
u Integer
_   , Univ Univ
u' Level
_  ) -> Bool -> m ()
answer (Bool -> m ()) -> Bool -> m ()
forall a b. (a -> b) -> a -> b
$ Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
== Univ
u' Bool -> Bool -> Bool
&& Bool
typeInTypeEnabled

            -- equating @PiSort a b@ to another sort
            (Sort
s1 , PiSort Dom' Term Term
a Sort
b Abs Sort
c) -> Bool
-> Sort -> Dom' Term Term -> Sort -> Abs Sort -> Blocker -> m ()
piSortEquals Bool
propEnabled Sort
s1 Dom' Term Term
a Sort
b Abs Sort
c Blocker
blocker
            (PiSort Dom' Term Term
a Sort
b Abs Sort
c , Sort
s2) -> Bool
-> Sort -> Dom' Term Term -> Sort -> Abs Sort -> Blocker -> m ()
piSortEquals Bool
propEnabled Sort
s2 Dom' Term Term
a Sort
b Abs Sort
c Blocker
blocker

            -- equating @FunSort a b@ to another sort
            (Sort
s1 , FunSort Sort
a Sort
b) -> Bool -> Sort -> Sort -> Sort -> Blocker -> m ()
funSortEquals Bool
propEnabled Sort
s1 Sort
a Sort
b Blocker
blocker
            (FunSort Sort
a Sort
b , Sort
s2) -> Bool -> Sort -> Sort -> Sort -> Blocker -> m ()
funSortEquals Bool
propEnabled Sort
s2 Sort
a Sort
b Blocker
blocker

            -- equating @UnivSort s@ to another sort
            (Sort
s1          , UnivSort Sort
s2) -> Bool -> Bool -> Sort -> Sort -> Blocker -> m ()
univSortEquals Bool
propEnabled Bool
infInInf Sort
s1 Sort
s2 Blocker
blocker
            (UnivSort Sort
s1 , Sort
s2         ) -> Bool -> Bool -> Sort -> Sort -> Blocker -> m ()
univSortEquals Bool
propEnabled Bool
infInInf Sort
s2 Sort
s1 Blocker
blocker

            -- postulated sorts can only be equal if they have the same head
            (DefS QName
d Elims
es  , DefS QName
d' Elims
es')
              | QName
d QName -> QName -> Bool
forall a. Eq a => a -> a -> Bool
== QName
d'                -> do
                  [Polarity]
pol <- Comparison -> QName -> m [Polarity]
forall (m :: * -> *).
HasConstInfo m =>
Comparison -> QName -> m [Polarity]
getPolarity' Comparison
CmpEq QName
d
                  Type
a <- QName -> Elims -> Elims -> m Type
forall (m :: * -> *).
MonadConversion m =>
QName -> Elims -> Elims -> m Type
computeElimHeadType QName
d Elims
es Elims
es'
                  [Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
forall (m :: * -> *).
MonadConversion m =>
[Polarity] -> [IsForced] -> Type -> Term -> Elims -> Elims -> m ()
compareElims [Polarity]
pol [] Type
a (QName -> Elims -> Term
Def QName
d []) Elims
es Elims
es'
              | Bool
otherwise              -> m ()
forall {a}. m a
no

            -- any other combinations of sorts are not equal
            (Sort
_          , Sort
_          ) -> m ()
forall {a}. m a
no

    where
      yes :: m ()
yes = () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()
      no :: m a
no  = Blocker -> m a
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
neverUnblock
      answer :: Bool -> m ()
answer = \case
        Bool
True -> m ()
yes
        Bool
False -> m ()
forall {a}. m a
no

      -- perform assignment (MetaS x es) := s
      meta :: MetaId -> [Elim' Term] -> Sort -> m ()
      meta :: MetaId -> Elims -> Sort -> m ()
meta MetaId
x Elims
es Sort
s = do
        String -> Int -> String -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> String -> m ()
reportSLn String
"tc.meta.sort" Int
30 (String -> m ()) -> String -> m ()
forall a b. (a -> b) -> a -> b
$ String
"Assigning meta sort"
        String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.meta.sort" Int
50 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"meta" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [MetaId -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty MetaId
x, [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Semigroup (m Doc), Foldable t) =>
t (m Doc) -> m Doc
prettyList ([TCMT IO Doc] -> TCMT IO Doc) -> [TCMT IO Doc] -> TCMT IO Doc
forall a b. (a -> b) -> a -> b
$ (Elim' Term -> TCMT IO Doc) -> Elims -> [TCMT IO Doc]
forall a b. (a -> b) -> [a] -> [b]
map Elim' Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Elims
es, Sort -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Sort
s]
        CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
forall (m :: * -> *).
MonadConversion m =>
CompareDirection
-> MetaId
-> Elims
-> Term
-> CompareAs
-> (Term -> Term -> m ())
-> m ()
assignE CompareDirection
DirEq MetaId
x Elims
es (Sort -> Term
Sort Sort
s) CompareAs
AsTypes Term -> Term -> m ()
forall a. HasCallStack => a
__IMPOSSIBLE__

       -- Sorts that contain exactly one other kind of sorts.
      invertibleSort :: Bool -> Univ -> Bool
      invertibleSort :: Bool -> Univ -> Bool
invertibleSort Bool
propEnabled = \case
        -- @SSetω(n+1)@ is the successor sort of exactly @SSetω(n)@.
        Univ
USSet -> Bool
True
        -- @Setω(n+1)@ is the successor sort of exactly @Setω(n)@ if we do not have @Prop@.
        Univ
UType -> Bool -> Bool
not Bool
propEnabled
        -- @Prop@ sorts are not successor sorts.
        Univ
UProp -> Bool
False

      -- Equate a sort @s1@ to @univSort s2@
      -- Precondition: @s1@ and @univSort s2@ are already reduced.
      univSortEquals :: Bool -> Bool -> Sort -> Sort -> Blocker -> m ()
      univSortEquals :: Bool -> Bool -> Sort -> Sort -> Blocker -> m ()
univSortEquals Bool
propEnabled Bool
infInInf Sort
s1 Sort
s2 Blocker
blocker = do
        String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.sort" Int
35 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
          [ TCMT IO Doc
"univSortEquals"
          , TCMT IO Doc
"  s1 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s1
          , TCMT IO Doc
"  s2 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s2
          ]
        let postpone :: m ()
postpone = Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
blocker
        case Sort
s1 of
          -- @Prop l@, @SizeUniv@ and @LevelUniv@ are not successor sorts.
          Prop{}      -> m ()
forall {a}. m a
no
          Inf Univ
UProp Integer
_ -> m ()
forall {a}. m a
no
          SizeUniv{}  -> m ()
forall {a}. m a
no
          LevelUniv{} -> m ()
forall {a}. m a
no
          -- Neither are @LockUniv@ or @IntervalUniv@.
          LockUniv{}     -> m ()
forall {a}. m a
no
          IntervalUniv{} -> m ()
forall {a}. m a
no

          -- @Set l1@ is the successor sort of either @Set l2@ or
          -- @Prop l2@ where @l1 == lsuc l2@.
          Type Level
l1 -> do
            Bool
levelUnivEnabled <- PragmaOptions -> Bool
optLevelUniverse (PragmaOptions -> Bool) -> m PragmaOptions -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> m PragmaOptions
forall (m :: * -> *). HasOptions m => m PragmaOptions
pragmaOptions
            Bool
guardedEnabled   <- PragmaOptions -> Bool
optGuarded       (PragmaOptions -> Bool) -> m PragmaOptions -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> m PragmaOptions
forall (m :: * -> *). HasOptions m => m PragmaOptions
pragmaOptions
               -- @s2@ is definitely not @Inf n@ or @SizeUniv@
            if | Inf Univ
_ Integer
_n <- Sort
s2 -> m ()
forall a. HasCallStack => a
__IMPOSSIBLE__
               | Sort
SizeUniv <- Sort
s2 -> m ()
forall a. HasCallStack => a
__IMPOSSIBLE__
               -- The predecessor @s2@ is can also not be @SSet _@ or @IntervalUniv@
               | Univ Univ
USSet Level
_ <- Sort
s2 -> m ()
forall a. HasCallStack => a
__IMPOSSIBLE__
               | Sort
IntervalUniv <- Sort
s2 -> m ()
forall a. HasCallStack => a
__IMPOSSIBLE__
               -- If @Prop@ is not used, then @s2@ must be of the form @Set l2@,
               -- except when l1 == 1, then it could also be @LockUniv@ or @LevelUniv@.
               | Bool -> Bool
not (Bool
propEnabled Bool -> Bool -> Bool
|| Bool
guardedEnabled Bool -> Bool -> Bool
|| Bool
levelUnivEnabled) -> do
                   Level
l2 <- case Integer -> Level -> Maybe Level
subLevel Integer
1 Level
l1 of
                     Just Level
l2 -> Level -> m Level
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Level
l2
                     Maybe Level
Nothing -> do
                       Level
l2 <- m Level
forall (m :: * -> *). MonadMetaSolver m => m Level
newLevelMeta
                       Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
equalLevel Level
l1 (Level -> Level
levelSuc Level
l2)
                       Level -> m Level
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Level
l2
                   Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort (Level -> Sort
forall t. Level' t -> Sort' t
Type Level
l2) Sort
s2
               -- Otherwise we postpone
               | Bool
otherwise -> m ()
postpone
          -- @SSetω(n+1)@ is the successor sort of exactly @SSetω(n)@.
          -- @SSetω@ is the successor sort of exactly @SSetω@ if
          -- --type-in-type or --omega-in-omega is enabled.
          -- The same is only true for @Setω(n+1)@ if @Propω...@ are disabled.
          -- @Setω@ is the successor sort of @Setω@ (type:type) or @SizeUniv@ (--sized-types).
          Inf Univ
u Integer
0 -> do
              -- Compute the predecessor(s) of (S)Setω and return it if it is unique.
              Bool
sizedTypesEnabled <- m Bool
forall (m :: * -> *). HasOptions m => m Bool
sizedTypesOption
              -- guardedEnabled <- optGuarded <$> pragmaOptions
              case [[Sort]] -> [Sort]
forall (t :: * -> *) a. Foldable t => t [a] -> [a]
concat
                [ [ Sort
s1       | Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
/= Univ
UProp, Bool
infInInf ]
                , [ Sort
forall {t}. Sort' t
dummy    | Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
== Univ
UType, Bool
infInInf, Bool
propEnabled, let dummy :: Sort' t
dummy = Univ -> Integer -> Sort' t
forall t. Univ -> Integer -> Sort' t
Inf Univ
UProp Integer
0 ]
                    -- We enter a dummy into the solution set if --prop makes predecessor ambiguous.
                , [ Sort
forall {t}. Sort' t
SizeUniv | Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
== Univ
UType, Bool
sizedTypesEnabled ]
                -- , [ LockUniv | guardedEnabled ]  -- LockUniv is actually in Set₁, not Setω
                ]
                of
                [ Sort
s ] -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s Sort
s2
                []    -> m ()
forall {a}. m a
no
                [Sort]
_     -> m ()
postpone
          Inf Univ
u Integer
n | Integer
n Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
> Integer
0, Bool -> Univ -> Bool
invertibleSort Bool
propEnabled Univ
u ->
            Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort (Univ -> Integer -> Sort
forall t. Univ -> Integer -> Sort' t
Inf Univ
u (Integer -> Sort) -> Integer -> Sort
forall a b. (a -> b) -> a -> b
$ Integer
n Integer -> Integer -> Integer
forall a. Num a => a -> a -> a
- Integer
1) Sort
s2

          -- Anything else: postpone
          Sort
_ -> m ()
postpone


      -- Equate a sort @s@ to @piSort a s1 s2@
      -- Precondition: @s@ and @piSort a s1 s2@ are already reduced.
      piSortEquals :: Bool -> Sort -> Dom Term -> Sort -> Abs Sort -> Blocker -> m ()
      piSortEquals :: Bool
-> Sort -> Dom' Term Term -> Sort -> Abs Sort -> Blocker -> m ()
piSortEquals Bool
propEnabled Sort
s Dom' Term Term
a Sort
s1 NoAbs{} Blocker
blocker = m ()
forall a. HasCallStack => a
__IMPOSSIBLE__
      piSortEquals Bool
propEnabled Sort
s Dom' Term Term
a Sort
s1 s2Abs :: Abs Sort
s2Abs@(Abs String
x Sort
s2) Blocker
blocker = do
        let adom :: Dom Type
adom = Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El Sort
s1 (Term -> Type) -> Dom' Term Term -> Dom Type
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Dom' Term Term
a
        String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.sort" Int
35 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
          [ TCMT IO Doc
"piSortEquals"
          , TCMT IO Doc
"  s  =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s
          , TCMT IO Doc
"  a  =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Dom Type -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Dom Type -> m Doc
prettyTCM Dom Type
adom
          , TCMT IO Doc
"  s1 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s1
          , TCMT IO Doc
"  s2 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> (String, Dom Type) -> TCMT IO Doc -> TCMT IO Doc
forall b (m :: * -> *) a.
(AddContext b, MonadAddContext m) =>
b -> m a -> m a
forall (m :: * -> *) a.
MonadAddContext m =>
(String, Dom Type) -> m a -> m a
addContext (String
x,Dom Type
adom) (Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s2)
          ]
        let postpone :: m ()
postpone = Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
blocker
           -- If @s2@ is dependent, then @piSort a s1 s2@ computes to
           -- @Setωi@. Hence, if @s@ is small, then @s2@
           -- cannot be dependent.
        if | Sort -> Bool
isSmallSort Sort
s -> do
               -- We force @s2@ to be non-dependent by unifying it with
               -- a fresh meta that does not depend on @x : a@
               Sort
s2' <- m Sort
forall (m :: * -> *). MonadMetaSolver m => m Sort
newSortMeta
               (String, Dom Type) -> m () -> m ()
forall b (m :: * -> *) a.
(AddContext b, MonadAddContext m) =>
b -> m a -> m a
forall (m :: * -> *) a.
MonadAddContext m =>
(String, Dom Type) -> m a -> m a
addContext (String
x , Dom Type
adom) (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s2 (Int -> Sort -> Sort
forall a. Subst a => Int -> a -> a
raise Int
1 Sort
s2')
               Bool -> Sort -> Sort -> Sort -> Blocker -> m ()
funSortEquals Bool
propEnabled Sort
s Sort
s1 Sort
s2' Blocker
blocker
           -- Otherwise: postpone
           | Bool
otherwise -> m ()
postpone

      -- Equate a sort @s@ to @funSort s1 s2@
      -- Precondition: @s@ and @funSort s1 s2@ are already reduced
      funSortEquals :: Bool -> Sort -> Sort -> Sort -> Blocker -> m ()
      funSortEquals :: Bool -> Sort -> Sort -> Sort -> Blocker -> m ()
funSortEquals Bool
propEnabled Sort
s0 Sort
s1 Sort
s2 Blocker
blocker = do
        String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.sort" Int
35 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
          [ TCMT IO Doc
"funSortEquals"
          , TCMT IO Doc
"  s0 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s0
          , TCMT IO Doc
"  s1 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s1
          , TCMT IO Doc
"  s2 =" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Sort -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Sort -> m Doc
prettyTCM Sort
s2
          ]
        Bool
sizedTypesEnabled <- m Bool
forall (m :: * -> *). HasOptions m => m Bool
sizedTypesOption
        Bool
cubicalEnabled <- Maybe Cubical -> Bool
forall a. Maybe a -> Bool
isJust (Maybe Cubical -> Bool)
-> (PragmaOptions -> Maybe Cubical) -> PragmaOptions -> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. PragmaOptions -> Maybe Cubical
optCubical (PragmaOptions -> Bool) -> m PragmaOptions -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> m PragmaOptions
forall (m :: * -> *). HasOptions m => m PragmaOptions
pragmaOptions
        Bool
levelUnivEnabled <- PragmaOptions -> Bool
optLevelUniverse (PragmaOptions -> Bool) -> m PragmaOptions -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> m PragmaOptions
forall (m :: * -> *). HasOptions m => m PragmaOptions
pragmaOptions
        let postpone :: m ()
postpone = Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
blocker
            err :: m ()
            err :: m ()
err = TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Sort -> Sort -> TypeError
UnequalSorts Sort
s0 (Sort -> Sort -> Sort
forall t. Sort' t -> Sort' t -> Sort' t
FunSort Sort
s1 Sort
s2)
        case Sort
s0 of
          -- If @Setωᵢ == funSort s1 s2@, then either @s1@ or @s2@ must
          -- be @Setωᵢ@.

          Inf Univ
u Integer
n ->
            case (Sort -> Either Blocker SizeOfSort
sizeOfSort Sort
s1, Sort -> Either Blocker SizeOfSort
sizeOfSort Sort
s2) of

              -- Both sorts have to be <= n in size, and their fibrancy <= u
              (Right (SizeOfSort Univ
u' Integer
n'), Either Blocker SizeOfSort
_)
                | Integer
n' Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
> Integer
n                           -> m ()
err
                | Univ -> IsFibrant
univFibrancy Univ
u' IsFibrant -> IsFibrant -> Bool
forall a. Ord a => a -> a -> Bool
> Univ -> IsFibrant
univFibrancy Univ
u -> m ()
err
              (Either Blocker SizeOfSort
_, Right (SizeOfSort Univ
u' Integer
n'))
                | Integer
n' Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
> Integer
n                           -> m ()
err
                | Univ -> IsFibrant
univFibrancy Univ
u' IsFibrant -> IsFibrant -> Bool
forall a. Ord a => a -> a -> Bool
> Univ -> IsFibrant
univFibrancy Univ
u -> m ()
err
              -- Unless SSet, the kind of the funSort is the kind of the codomain
                | Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
/= Univ
USSet, Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
/= Univ
u'              -> m ()
err

              -- One sort has to be at least the same size as n
              (Right (SizeOfSort Univ
u1 Integer
n1), Right (SizeOfSort Univ
u2 Integer
n2))
                | Integer
n1 Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
< Integer
n, Integer
n2 Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
< Integer
n                   -> m ()
err
                | Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
/= Univ -> Univ -> Univ
funUniv Univ
u1 Univ
u2               -> m ()
err

              -- If have the domain sort only
              (Right (SizeOfSort Univ
u' Integer
n'), Either Blocker SizeOfSort
_)
                | Univ
u' Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
/= Univ
USSet, Integer
n' Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
< Integer
n              -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s0 Sort
s2
                | Bool
otherwise                        -> m ()
postpone

              -- If we just have the codomain sort
              (Either Blocker SizeOfSort
_, Right (SizeOfSort Univ
USSet Integer
n'))     -> m ()
postpone
              (Either Blocker SizeOfSort
_, Right (SizeOfSort Univ
_     Integer
n'))
                | Integer
n' Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
< Integer
n, Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
== Univ
USSet               -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s1 Sort
s2
                | Integer
n' Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
< Integer
n, Bool -> Bool
not Bool
propEnabled,
                  -- issue #6648: with --level-universe we have PTS rule (LevelUniv,Set,Setω)
                  Bool -> Bool
not Bool
levelUnivEnabled Bool -> Bool -> Bool
|| Integer
n Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
> Integer
0    -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort (Univ -> Integer -> Sort
forall t. Univ -> Integer -> Sort' t
Inf Univ
UType Integer
n) Sort
s1
                | Bool
otherwise                        -> m ()
postpone

              (Either Blocker SizeOfSort, Either Blocker SizeOfSort)
_ -> m ()
postpone

          -- If @Set l == funSort s1 s2@, then @s2@ must be of the
          -- form @Set l2@. @s1@ can be one of @Set l1@, @Prop l1@,
          -- @SizeUniv@, or @IUniv@.
          Type Level
l -> do
            Level
l2 <- Univ -> Sort -> m Level
forceUniv Univ
UType Sort
s2
            -- We must have @l2 =< l@, this might help us to solve
            -- more constraints (in particular when @l == 0@).
            Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel Level
l2 Level
l
            -- Jesper, 2022-10-22, #6211: the operations `forceUniv`
            -- and `leqLevel` above might have instantiated some
            -- metas, so we need to reduce s1 again to get an
            -- up-to-date Blocker.
            Blocked Sort
s1b <- Sort -> m (Blocked Sort)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Sort
s1
            let s1 :: Sort
s1 = Blocked Sort -> Sort
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Sort
s1b
                blocker :: Blocker
blocker = Blocked Sort -> Blocker
forall t a. Blocked' t a -> Blocker
getBlocker Blocked Sort
s1b
            -- Jesper, 2019-12-27: SizeUniv is disabled at the moment.
            if | {- sizedTypesEnabled || -} Bool
propEnabled Bool -> Bool -> Bool
|| Bool
cubicalEnabled ->
                case Sort -> Sort -> Either Blocker Sort
funSort' Sort
s1 (Level -> Sort
forall t. Level' t -> Sort' t
Type Level
l2) of
                   -- If the work we did makes the @funSort@ compute,
                   -- continue working.
                   Right Sort
s -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort (Level -> Sort
forall t. Level' t -> Sort' t
Type Level
l) Sort
s
                   -- Otherwise: postpone
                   Left{}  -> Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
blocker
               -- If both Prop and sized types are disabled, only the
               -- case @s1 == Set l1@ remains.
               | Bool
otherwise -> do
                   Level
l1 <- Univ -> Sort -> m Level
forceUniv Univ
UType Sort
s1
                   Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
equalLevel Level
l (Level -> Level -> Level
levelLub Level
l1 Level
l2)

          -- If @Prop l == funSort s1 s2@, then @s2@ must be of the
          -- form @Prop l2@, and @s1@ can be one of @Set l1@, Prop
          -- l1@, or @SizeUniv@.
          Prop Level
l -> do
            Level
l2 <- Univ -> Sort -> m Level
forceUniv Univ
UProp Sort
s2
            Level -> Level -> m ()
forall (m :: * -> *). MonadConversion m => Level -> Level -> m ()
leqLevel Level
l2 Level
l
            Blocked Sort
s1b <- Sort -> m (Blocked Sort)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Sort
s1
            let s1 :: Sort
s1 = Blocked Sort -> Sort
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Sort
s1b
                blocker :: Blocker
blocker = Blocked Sort -> Blocker
forall t a. Blocked' t a -> Blocker
getBlocker Blocked Sort
s1b
            case Sort -> Sort -> Either Blocker Sort
funSort' Sort
s1 (Level -> Sort
forall t. Level' t -> Sort' t
Prop Level
l2) of
                   -- If the work we did makes the @funSort@ compute,
                   -- continue working.
                   Right Sort
s -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort (Level -> Sort
forall t. Level' t -> Sort' t
Prop Level
l) Sort
s
                   -- Otherwise: postpone
                   Left Blocker
_  -> Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation Blocker
blocker

          -- TODO: SSet l

          -- We have @SizeUniv == funSort s1 s2@ iff @s2 == SizeUniv@
          Sort
SizeUniv -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
forall {t}. Sort' t
SizeUniv Sort
s2
          Sort
LevelUniv -> Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
forall {t}. Sort' t
LevelUniv Sort
s2
          -- Anything else: postpone
          Sort
_        -> m ()
postpone

      forceUniv :: Univ -> Sort -> m Level
      forceUniv :: Univ -> Sort -> m Level
forceUniv Univ
u = \case
        Univ Univ
u' Level
l | Univ
u Univ -> Univ -> Bool
forall a. Eq a => a -> a -> Bool
== Univ
u' -> Level -> m Level
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Level
l
        Sort
s -> do
          Level
l <- m Level
forall (m :: * -> *). MonadMetaSolver m => m Level
newLevelMeta
          Sort -> Sort -> m ()
forall (m :: * -> *). MonadConversion m => Sort -> Sort -> m ()
equalSort Sort
s (Univ -> Level -> Sort
forall t. Univ -> Level' t -> Sort' t
Univ Univ
u Level
l)
          Level -> m Level
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Level
l

      impossibleSort :: a -> m b
impossibleSort a
s = do
        String -> Int -> [a] -> m ()
forall a (m :: * -> *).
(ReportS a, MonadDebug m) =>
String -> Int -> a -> m ()
forall (m :: * -> *). MonadDebug m => String -> Int -> [a] -> m ()
reportS String
"impossible" Int
10
          [ a
"equalSort: found dummy sort with description:"
          , a
s
          ]
        m b
forall a. HasCallStack => a
__IMPOSSIBLE__

      catchInequalLevel :: m a -> m a -> m a
catchInequalLevel m a
m m a
fail = m a
m m a -> (TCErr -> m a) -> m a
forall a. m a -> (TCErr -> m a) -> m a
forall e (m :: * -> *) a.
MonadError e m =>
m a -> (e -> m a) -> m a
`catchError` \case
        TypeError{} -> m a
fail
        TCErr
err         -> TCErr -> m a
forall a. TCErr -> m a
forall e (m :: * -> *) a. MonadError e m => e -> m a
throwError TCErr
err


forallFaceMaps
  :: MonadConversion m
  => Term
  -> (IntMap Bool -> Blocker -> Term -> m a)
  -> (IntMap Bool -> Substitution -> m a)
  -> m [a]
forallFaceMaps :: forall (m :: * -> *) a.
MonadConversion m =>
Term
-> (IntMap Bool -> Blocker -> Term -> m a)
-> (IntMap Bool -> Substitution -> m a)
-> m [a]
forallFaceMaps Term
t IntMap Bool -> Blocker -> Term -> m a
kb IntMap Bool -> Substitution -> m a
k = do
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"conv.forall" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
      [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [TCMT IO Doc
"forallFaceMaps"
           , Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
t
           ]
  [(IntMap Bool, [Term])]
as <- Term -> m [(IntMap Bool, [Term])]
forall (m :: * -> *).
HasBuiltins m =>
Term -> m [(IntMap Bool, [Term])]
decomposeInterval Term
t
  Bool -> Term
boolToI <- do
    Term
io <- m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primIOne
    Term
iz <- m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primIZero
    (Bool -> Term) -> m (Bool -> Term)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (\Bool
b -> if Bool
b then Term
io else Term
iz)
  [(IntMap Bool, [Term])] -> ((IntMap Bool, [Term]) -> m a) -> m [a]
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
t a -> (a -> m b) -> m (t b)
forM [(IntMap Bool, [Term])]
as (((IntMap Bool, [Term]) -> m a) -> m [a])
-> ((IntMap Bool, [Term]) -> m a) -> m [a]
forall a b. (a -> b) -> a -> b
$ \ (IntMap Bool
ms,[Term]
ts) -> do
   [Term]
-> (Blocker -> Term -> m a) -> (NotBlocked -> Term -> m a) -> m a
forall {m :: * -> *} {t :: * -> *} {b}.
(HasBuiltins m, MonadError TCErr m, Foldable t, MonadReduce m) =>
t Term
-> (Blocker -> Term -> m b) -> (NotBlocked -> Term -> m b) -> m b
ifBlockeds [Term]
ts (IntMap Bool -> Blocker -> Term -> m a
kb IntMap Bool
ms) ((NotBlocked -> Term -> m a) -> m a)
-> (NotBlocked -> Term -> m a) -> m a
forall a b. (a -> b) -> a -> b
$ \ NotBlocked
_ Term
_ -> do
    let xs :: [(Int, Term)]
xs = ((Int, Bool) -> (Int, Term)) -> [(Int, Bool)] -> [(Int, Term)]
forall a b. (a -> b) -> [a] -> [b]
map ((Bool -> Term) -> (Int, Bool) -> (Int, Term)
forall b c d. (b -> c) -> (d, b) -> (d, c)
forall (a :: * -> * -> *) b c d.
Arrow a =>
a b c -> a (d, b) (d, c)
second Bool -> Term
boolToI) ([(Int, Bool)] -> [(Int, Term)]) -> [(Int, Bool)] -> [(Int, Term)]
forall a b. (a -> b) -> a -> b
$ IntMap Bool -> [(Int, Bool)]
forall a. IntMap a -> [(Int, a)]
IntMap.toAscList IntMap Bool
ms
    Context
cxt <- m Context
forall (m :: * -> *). MonadTCEnv m => m Context
getContext
    String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"conv.forall" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
      [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [TCMT IO Doc
"substContextN"
           , Context -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Context -> m Doc
prettyTCM Context
cxt
           , [(Int, Term)] -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => [(Int, Term)] -> m Doc
prettyTCM [(Int, Term)]
xs
           ]
    (Context
cxt',Substitution
sigma) <- Context -> [(Int, Term)] -> m (Context, Substitution)
forall (m :: * -> *).
MonadConversion m =>
Context -> [(Int, Term)] -> m (Context, Substitution)
substContextN Context
cxt [(Int, Term)]
xs
    [(Dom' Term (Name, Type), Term)]
resolved <- [(Int, Term)]
-> ((Int, Term) -> m (Dom' Term (Name, Type), Term))
-> m [(Dom' Term (Name, Type), Term)]
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
t a -> (a -> m b) -> m (t b)
forM [(Int, Term)]
xs (\ (Int
i,Term
t) -> (,) (Dom' Term (Name, Type) -> Term -> (Dom' Term (Name, Type), Term))
-> m (Dom' Term (Name, Type))
-> m (Term -> (Dom' Term (Name, Type), Term))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Int -> m (Dom' Term (Name, Type))
forall (m :: * -> *).
(MonadFail m, MonadTCEnv m) =>
Int -> m (Dom' Term (Name, Type))
lookupBV Int
i m (Term -> (Dom' Term (Name, Type), Term))
-> m Term -> m (Dom' Term (Name, Type), Term)
forall a b. m (a -> b) -> m a -> m b
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Term -> m Term
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (Substitution' (SubstArg Term) -> Term -> Term
forall a. Subst a => Substitution' (SubstArg a) -> a -> a
applySubst Substitution
Substitution' (SubstArg Term)
sigma Term
t))
    Substitution -> (Context -> Context) -> m a -> m a
forall a. Substitution -> (Context -> Context) -> m a -> m a
forall (m :: * -> *) a.
MonadAddContext m =>
Substitution -> (Context -> Context) -> m a -> m a
updateContext Substitution
sigma (Context -> Context -> Context
forall a b. a -> b -> a
const Context
cxt') (m a -> m a) -> m a -> m a
forall a b. (a -> b) -> a -> b
$
      [(Dom' Term (Name, Type), Term)] -> m a -> m a
forall {m :: * -> *} {t} {a}.
MonadAddContext m =>
[(Dom' t (Name, Type), Term)] -> m a -> m a
addBindings [(Dom' Term (Name, Type), Term)]
resolved (m a -> m a) -> m a -> m a
forall a b. (a -> b) -> a -> b
$ do
        Closure ()
cl <- () -> m (Closure ())
forall (m :: * -> *) a.
(MonadTCEnv m, ReadTCState m) =>
a -> m (Closure a)
buildClosure ()
        Telescope
tel <- m Telescope
forall (m :: * -> *). (Applicative m, MonadTCEnv m) => m Telescope
getContextTelescope
        ModuleName
m <- m ModuleName
forall (m :: * -> *). MonadTCEnv m => m ModuleName
currentModule
        Maybe Substitution
sub <- ModuleName -> m (Maybe Substitution)
forall (m :: * -> *).
(MonadTCEnv m, ReadTCState m) =>
ModuleName -> m (Maybe Substitution)
getModuleParameterSub ModuleName
m
        String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"conv.forall" Int
30 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
vcat
          [ String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text (Int -> Char -> String
forall a. Int -> a -> [a]
replicate Int
10 Char
'-')
          , ModuleName -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => ModuleName -> m Doc
prettyTCM (TCEnv -> ModuleName
envCurrentModule (TCEnv -> ModuleName) -> TCEnv -> ModuleName
forall a b. (a -> b) -> a -> b
$ Closure () -> TCEnv
forall a. Closure a -> TCEnv
clEnv Closure ()
cl)
          -- , prettyTCM (envLetBindings $ clEnv cl)
          , Telescope -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Telescope -> m Doc
prettyTCM Telescope
tel -- (toTelescope $ envContext $ clEnv cl)
          , Substitution -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Substitution -> m Doc
prettyTCM Substitution
sigma
          , ModuleName -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => ModuleName -> m Doc
prettyTCM ModuleName
m
          , Maybe Substitution -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Maybe Substitution -> m Doc
prettyTCM Maybe Substitution
sub
          ]
        IntMap Bool -> Substitution -> m a
k IntMap Bool
ms Substitution
sigma
  where
    -- TODO Andrea: inefficient because we try to reduce the ts which we know are in whnf
    ifBlockeds :: t Term
-> (Blocker -> Term -> m b) -> (NotBlocked -> Term -> m b) -> m b
ifBlockeds t Term
ts Blocker -> Term -> m b
blocked NotBlocked -> Term -> m b
unblocked = do
      Term
and <- PrimitiveId -> m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
PrimitiveId -> m Term
getPrimitiveTerm PrimitiveId
PrimIMin
      Term
io  <- m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primIOne
      let t :: Term
t = (Term -> Term -> Term) -> Term -> t Term -> Term
forall a b. (a -> b -> b) -> b -> t a -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr (\ Term
x Term
r -> Term
and Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
`apply` [Term -> Arg Term
forall e. e -> Arg e
argN Term
x,Term -> Arg Term
forall e. e -> Arg e
argN Term
r]) Term
io t Term
ts
      Term
-> (Blocker -> Term -> m b) -> (NotBlocked -> Term -> m b) -> m b
forall t (m :: * -> *) a.
(Reduce t, IsMeta t, MonadReduce m) =>
t -> (Blocker -> t -> m a) -> (NotBlocked -> t -> m a) -> m a
ifBlocked Term
t Blocker -> Term -> m b
blocked NotBlocked -> Term -> m b
unblocked
    addBindings :: [(Dom' t (Name, Type), Term)] -> m a -> m a
addBindings [] m a
m = m a
m
    addBindings ((Dom{domInfo :: forall t e. Dom' t e -> ArgInfo
domInfo = ArgInfo
info,unDom :: forall t e. Dom' t e -> e
unDom = (Name
nm,Type
ty)},Term
t):[(Dom' t (Name, Type), Term)]
bs) m a
m = ArgInfo -> Origin -> Name -> Term -> Type -> m a -> m a
forall (m :: * -> *) a.
MonadAddContext m =>
ArgInfo -> Origin -> Name -> Term -> Type -> m a -> m a
addLetBinding ArgInfo
info Origin
Inserted Name
nm Term
t Type
ty ([(Dom' t (Name, Type), Term)] -> m a -> m a
addBindings [(Dom' t (Name, Type), Term)]
bs m a
m)

    substContextN :: MonadConversion m => Context -> [(Int,Term)] -> m (Context , Substitution)
    substContextN :: forall (m :: * -> *).
MonadConversion m =>
Context -> [(Int, Term)] -> m (Context, Substitution)
substContextN Context
c [] = (Context, Substitution) -> m (Context, Substitution)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (Context
c, Substitution
forall a. Substitution' a
idS)
    substContextN Context
c ((Int
i,Term
t):[(Int, Term)]
xs) = do
      (Context
c', Substitution
sigma) <- Int -> Term -> Context -> m (Context, Substitution)
forall (m :: * -> *).
MonadConversion m =>
Int -> Term -> Context -> m (Context, Substitution)
substContext Int
i Term
t Context
c
      (Context
c'', Substitution
sigma')  <- Context -> [(Int, Term)] -> m (Context, Substitution)
forall (m :: * -> *).
MonadConversion m =>
Context -> [(Int, Term)] -> m (Context, Substitution)
substContextN Context
c' (((Int, Term) -> (Int, Term)) -> [(Int, Term)] -> [(Int, Term)]
forall a b. (a -> b) -> [a] -> [b]
map (Int -> Int -> Int
forall a. Num a => a -> a -> a
subtract Int
1 (Int -> Int) -> (Term -> Term) -> (Int, Term) -> (Int, Term)
forall a c b d. (a -> c) -> (b -> d) -> (a, b) -> (c, d)
-*- Substitution' (SubstArg Term) -> Term -> Term
forall a. Subst a => Substitution' (SubstArg a) -> a -> a
applySubst Substitution
Substitution' (SubstArg Term)
sigma) [(Int, Term)]
xs)
      (Context, Substitution) -> m (Context, Substitution)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (Context
c'', Substitution' (SubstArg Substitution)
-> Substitution -> Substitution
forall a. Subst a => Substitution' (SubstArg a) -> a -> a
applySubst Substitution
Substitution' (SubstArg Substitution)
sigma' Substitution
sigma)


    -- assumes the term can be typed in the shorter telescope
    -- the terms we get from toFaceMaps are closed.
    substContext :: MonadConversion m => Int -> Term -> Context -> m (Context , Substitution)
    substContext :: forall (m :: * -> *).
MonadConversion m =>
Int -> Term -> Context -> m (Context, Substitution)
substContext Int
i Term
t [] = m (Context, Substitution)
forall a. HasCallStack => a
__IMPOSSIBLE__
    substContext Int
i Term
t (Dom' Term (Name, Type)
x:Context
xs) | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== Int
0 = (Context, Substitution) -> m (Context, Substitution)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ((Context, Substitution) -> m (Context, Substitution))
-> (Context, Substitution) -> m (Context, Substitution)
forall a b. (a -> b) -> a -> b
$ (Context
xs , Int -> Term -> Substitution
forall a. DeBruijn a => Int -> a -> Substitution' a
singletonS Int
0 Term
t)
    substContext Int
i Term
t (Dom' Term (Name, Type)
x:Context
xs) | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
0 = do
                                  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"conv.forall" Int
20 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
                                    [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
fsep [TCMT IO Doc
"substContext"
                                        , String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text (Int -> String
forall a. Show a => a -> String
show (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
-Int
1))
                                        , Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
t
                                        , Context -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Context -> m Doc
prettyTCM Context
xs
                                        ]
                                  (Context
c,Substitution
sigma) <- Int -> Term -> Context -> m (Context, Substitution)
forall (m :: * -> *).
MonadConversion m =>
Int -> Term -> Context -> m (Context, Substitution)
substContext (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
-Int
1) Term
t Context
xs
                                  let e :: Dom' Term (Name, Type)
e = Substitution' (SubstArg (Dom' Term (Name, Type)))
-> Dom' Term (Name, Type) -> Dom' Term (Name, Type)
forall a. Subst a => Substitution' (SubstArg a) -> a -> a
applySubst Substitution
Substitution' (SubstArg (Dom' Term (Name, Type)))
sigma Dom' Term (Name, Type)
x
                                  (Context, Substitution) -> m (Context, Substitution)
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return (Dom' Term (Name, Type)
eDom' Term (Name, Type) -> Context -> Context
forall a. a -> [a] -> [a]
:Context
c, Int -> Substitution -> Substitution
forall a. Int -> Substitution' a -> Substitution' a
liftS Int
1 Substitution
sigma)
    substContext Int
i Term
t (Dom' Term (Name, Type)
x:Context
xs) = m (Context, Substitution)
forall a. HasCallStack => a
__IMPOSSIBLE__

compareInterval :: MonadConversion m => Comparison -> Type -> Term -> Term -> m ()
compareInterval :: forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareInterval Comparison
cmp Type
i Term
t Term
u = do
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.interval" Int
15 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
    [TCMT IO Doc] -> TCMT IO Doc
forall (m :: * -> *) (t :: * -> *).
(Applicative m, Foldable t) =>
t (m Doc) -> m Doc
sep [ TCMT IO Doc
"{ compareInterval" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
t TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"=" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall a (m :: * -> *). (PrettyTCM a, MonadPretty m) => a -> m Doc
forall (m :: * -> *). MonadPretty m => Term -> m Doc
prettyTCM Term
u ]
  ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare at interval type"
  Blocked Term
tb <- Term -> m (Blocked Term)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Term
t
  Blocked Term
ub <- Term -> m (Blocked Term)
forall a (m :: * -> *).
(Reduce a, MonadReduce m) =>
a -> m (Blocked a)
reduceB Term
u
  let t :: Term
t = Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
tb
      u :: Term
u = Blocked Term -> Term
forall t a. Blocked' t a -> a
ignoreBlocking Blocked Term
ub
  [(IntMap BoolSet, [Term])]
it <- Term -> m [(IntMap BoolSet, [Term])]
forall (m :: * -> *).
HasBuiltins m =>
Term -> m [(IntMap BoolSet, [Term])]
decomposeInterval' Term
t
  [(IntMap BoolSet, [Term])]
iu <- Term -> m [(IntMap BoolSet, [Term])]
forall (m :: * -> *).
HasBuiltins m =>
Term -> m [(IntMap BoolSet, [Term])]
decomposeInterval' Term
u
  case () of
    ()
_ | Blocked Term -> Bool
forall {t} {a}. Blocked' t a -> Bool
isBlocked Blocked Term
tb Bool -> Bool -> Bool
|| Blocked Term -> Bool
forall {t} {a}. Blocked' t a -> Bool
isBlocked Blocked Term
ub -> do
      -- in case of metas we wouldn't be able to make progress by how we deal with de morgan laws.
      -- (because the constraints generated by decomposition are sufficient but not necessary).
      -- but we could still prune/solve some metas by comparing the terms as atoms.
      -- also if blocked we won't find the terms conclusively unequal(?) so compareAtom
      -- won't report type errors when we should accept.
      Type
interval <- m Type
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Type
primIntervalType
      Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
CmpEq (Type -> CompareAs
AsTermsOf Type
interval) Term
t Term
u
    ()
_ | Bool
otherwise -> do
      Bool
x <- [(IntMap BoolSet, [Term])] -> [(IntMap BoolSet, [Term])] -> m Bool
forall (m :: * -> *).
MonadConversion m =>
[(IntMap BoolSet, [Term])] -> [(IntMap BoolSet, [Term])] -> m Bool
leqInterval [(IntMap BoolSet, [Term])]
it [(IntMap BoolSet, [Term])]
iu
      Bool
y <- [(IntMap BoolSet, [Term])] -> [(IntMap BoolSet, [Term])] -> m Bool
forall (m :: * -> *).
MonadConversion m =>
[(IntMap BoolSet, [Term])] -> [(IntMap BoolSet, [Term])] -> m Bool
leqInterval [(IntMap BoolSet, [Term])]
iu [(IntMap BoolSet, [Term])]
it
      let final :: Bool
final = [(IntMap BoolSet, [Term])] -> Bool
isCanonical [(IntMap BoolSet, [Term])]
it Bool -> Bool -> Bool
&& [(IntMap BoolSet, [Term])] -> Bool
isCanonical [(IntMap BoolSet, [Term])]
iu
      if Bool
x Bool -> Bool -> Bool
&& Bool
y then String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.interval" Int
15 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"Ok! }" else
        if Bool
final then TypeError -> m ()
forall (m :: * -> *) a.
(HasCallStack, MonadTCError m) =>
TypeError -> m a
typeError (TypeError -> m ()) -> TypeError -> m ()
forall a b. (a -> b) -> a -> b
$ Comparison -> Term -> Term -> CompareAs -> TypeError
UnequalTerms Comparison
cmp Term
t Term
u (Type -> CompareAs
AsTermsOf Type
i)
                 else do
                   String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.interval" Int
15 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$ TCMT IO Doc
"Giving up! }"
                   Blocker -> m ()
forall a. Blocker -> m a
forall (m :: * -> *) a. MonadBlock m => Blocker -> m a
patternViolation ((Term, Term) -> Blocker
forall t. AllMetas t => t -> Blocker
unblockOnAnyMetaIn (Term
t, Term
u))
 where
   isBlocked :: Blocked' t a -> Bool
isBlocked Blocked{}    = Bool
True
   isBlocked NotBlocked{} = Bool
False


type Conj = (IntMap BoolSet, [Term])

isCanonical :: [Conj] -> Bool
isCanonical :: [(IntMap BoolSet, [Term])] -> Bool
isCanonical = ((IntMap BoolSet, [Term]) -> Bool)
-> [(IntMap BoolSet, [Term])] -> Bool
forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool
all ([Term] -> Bool
forall a. [a] -> Bool
forall (t :: * -> *) a. Foldable t => t a -> Bool
null ([Term] -> Bool)
-> ((IntMap BoolSet, [Term]) -> [Term])
-> (IntMap BoolSet, [Term])
-> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (IntMap BoolSet, [Term]) -> [Term]
forall a b. (a, b) -> b
snd)

-- | leqInterval r q = r ≤ q in the I lattice.
-- (∨ r_i) ≤ (∨ q_j)  iff  ∀ i. ∃ j. r_i ≤ q_j
leqInterval :: MonadConversion m => [Conj] -> [Conj] -> m Bool
leqInterval :: forall (m :: * -> *).
MonadConversion m =>
[(IntMap BoolSet, [Term])] -> [(IntMap BoolSet, [Term])] -> m Bool
leqInterval [(IntMap BoolSet, [Term])]
r [(IntMap BoolSet, [Term])]
q =
  [Bool] -> Bool
forall (t :: * -> *). Foldable t => t Bool -> Bool
and ([Bool] -> Bool) -> m [Bool] -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> [(IntMap BoolSet, [Term])]
-> ((IntMap BoolSet, [Term]) -> m Bool) -> m [Bool]
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
t a -> (a -> m b) -> m (t b)
forM [(IntMap BoolSet, [Term])]
r (\ (IntMap BoolSet, [Term])
r_i ->
   [Bool] -> Bool
forall (t :: * -> *). Foldable t => t Bool -> Bool
or ([Bool] -> Bool) -> m [Bool] -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> [(IntMap BoolSet, [Term])]
-> ((IntMap BoolSet, [Term]) -> m Bool) -> m [Bool]
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
t a -> (a -> m b) -> m (t b)
forM [(IntMap BoolSet, [Term])]
q (\ (IntMap BoolSet, [Term])
q_j -> (IntMap BoolSet, [Term]) -> (IntMap BoolSet, [Term]) -> m Bool
forall (m :: * -> *).
MonadConversion m =>
(IntMap BoolSet, [Term]) -> (IntMap BoolSet, [Term]) -> m Bool
leqConj (IntMap BoolSet, [Term])
r_i (IntMap BoolSet, [Term])
q_j))  -- TODO shortcut

-- | leqConj r q = r ≤ q in the I lattice, when r and q are conjuctions.
-- ' (∧ r_i)   ≤ (∧ q_j)               iff
-- ' (∧ r_i)   ∧ (∧ q_j)   = (∧ r_i)   iff
-- ' {r_i | i} ∪ {q_j | j} = {r_i | i} iff
-- ' {q_j | j} ⊆ {r_i | i}
leqConj :: MonadConversion m => Conj -> Conj -> m Bool
leqConj :: forall (m :: * -> *).
MonadConversion m =>
(IntMap BoolSet, [Term]) -> (IntMap BoolSet, [Term]) -> m Bool
leqConj (IntMap BoolSet
rs, [Term]
rst) (IntMap BoolSet
qs, [Term]
qst) = do
  if (BoolSet -> BoolSet -> Bool)
-> IntMap BoolSet -> IntMap BoolSet -> Bool
forall a b. (a -> b -> Bool) -> IntMap a -> IntMap b -> Bool
IntMap.isSubmapOfBy BoolSet -> BoolSet -> Bool
BoolSet.isSubsetOf IntMap BoolSet
qs IntMap BoolSet
rs
    then do
      Type
interval <-
        Sort -> Term -> Type
forall t a. Sort' t -> a -> Type'' t a
El Sort
forall {t}. Sort' t
IntervalUniv (Term -> Type) -> (Maybe Term -> Term) -> Maybe Term -> Type
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Maybe Term -> Term
forall a. a -> Maybe a -> a
fromMaybe Term
forall a. HasCallStack => a
__IMPOSSIBLE__ (Maybe Term -> Type) -> m (Maybe Term) -> m Type
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> BuiltinId -> m (Maybe Term)
forall (m :: * -> *). HasBuiltins m => BuiltinId -> m (Maybe Term)
getBuiltin' BuiltinId
builtinInterval
      -- we don't want to generate new constraints here because
      -- 1. in some situations the same constraint would get generated twice.
      -- 2. unless things are completely accepted we are going to
      --    throw patternViolation in compareInterval.
      let eqT :: Term -> Term -> m Bool
eqT Term
t Term
u = m () -> m Bool
forall (m :: * -> *).
(MonadConstraint m, MonadWarning m, MonadError TCErr m,
 MonadFresh ProblemId m) =>
m () -> m Bool
tryConversion (Comparison -> CompareAs -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> CompareAs -> Term -> Term -> m ()
compareAtom Comparison
CmpEq (Type -> CompareAs
AsTermsOf Type
interval) Term
t Term
u)
      let listSubset :: [Term] -> [Term] -> m Bool
listSubset [Term]
ts [Term]
us =
            [Bool] -> Bool
forall (t :: * -> *). Foldable t => t Bool -> Bool
and ([Bool] -> Bool) -> m [Bool] -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> [Term] -> (Term -> m Bool) -> m [Bool]
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
t a -> (a -> m b) -> m (t b)
forM [Term]
ts (\Term
t -> [Bool] -> Bool
forall (t :: * -> *). Foldable t => t Bool -> Bool
or ([Bool] -> Bool) -> m [Bool] -> m Bool
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> [Term] -> (Term -> m Bool) -> m [Bool]
forall (t :: * -> *) (m :: * -> *) a b.
(Traversable t, Monad m) =>
t a -> (a -> m b) -> m (t b)
forM [Term]
us (\Term
u -> Term -> Term -> m Bool
eqT Term
t Term
u)) -- TODO shortcut
      [Term] -> [Term] -> m Bool
listSubset [Term]
qst [Term]
rst
    else
      Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
False

-- | equalTermOnFace φ A u v = _ , φ ⊢ u = v : A
equalTermOnFace :: MonadConversion m => Term -> Type -> Term -> Term -> m ()
equalTermOnFace :: forall (m :: * -> *).
MonadConversion m =>
Term -> Type -> Term -> Term -> m ()
equalTermOnFace = Comparison -> Term -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Term -> Type -> Term -> Term -> m ()
compareTermOnFace Comparison
CmpEq

compareTermOnFace :: MonadConversion m => Comparison -> Term -> Type -> Term -> Term -> m ()
compareTermOnFace :: forall (m :: * -> *).
MonadConversion m =>
Comparison -> Term -> Type -> Term -> Term -> m ()
compareTermOnFace = (Substitution -> Comparison -> Type -> Term -> Term -> m ())
-> Comparison -> Term -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
(Substitution -> Comparison -> Type -> Term -> Term -> m ())
-> Comparison -> Term -> Type -> Term -> Term -> m ()
compareTermOnFace' ((Comparison -> Type -> Term -> Term -> m ())
-> Substitution -> Comparison -> Type -> Term -> Term -> m ()
forall a b. a -> b -> a
const Comparison -> Type -> Term -> Term -> m ()
forall (m :: * -> *).
MonadConversion m =>
Comparison -> Type -> Term -> Term -> m ()
compareTerm)

compareTermOnFace'
  :: MonadConversion m
  => (Substitution -> Comparison -> Type -> Term -> Term -> m ())
  -> Comparison -> Term -> Type -> Term -> Term -> m ()
compareTermOnFace' :: forall (m :: * -> *).
MonadConversion m =>
(Substitution -> Comparison -> Type -> Term -> Term -> m ())
-> Comparison -> Term -> Type -> Term -> Term -> m ()
compareTermOnFace' Substitution -> Comparison -> Type -> Term -> Term -> m ()
k Comparison
cmp Term
phi Type
ty Term
u Term
v = do
  String -> Int -> TCMT IO Doc -> m ()
forall (m :: * -> *).
MonadDebug m =>
String -> Int -> TCMT IO Doc -> m ()
reportSDoc String
"tc.conv.face" Int
40 (TCMT IO Doc -> m ()) -> TCMT IO Doc -> m ()
forall a b. (a -> b) -> a -> b
$
    String -> TCMT IO Doc
forall (m :: * -> *). Applicative m => String -> m Doc
text String
"compareTermOnFace:" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Term
phi TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"|-" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Term
u TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
"==" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Term -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Term
v TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> TCMT IO Doc
":" TCMT IO Doc -> TCMT IO Doc -> TCMT IO Doc
forall (m :: * -> *). Applicative m => m Doc -> m Doc -> m Doc
<+> Type -> TCMT IO Doc
forall (m :: * -> *) a. (Applicative m, Pretty a) => a -> m Doc
pretty Type
ty
  ProfileOption -> m () -> m ()
forall (m :: * -> *). MonadDebug m => ProfileOption -> m () -> m ()
whenProfile ProfileOption
Profile.Conversion (m () -> m ()) -> m () -> m ()
forall a b. (a -> b) -> a -> b
$ String -> m ()
forall (m :: * -> *). MonadStatistics m => String -> m ()
tick String
"compare at face type"

  Term
phi <- Term -> m Term
forall a (m :: * -> *). (Reduce a, MonadReduce m) => a -> m a
reduce Term
phi
  [()]
_ <- Term
-> (IntMap Bool -> Blocker -> Term -> m ())
-> (IntMap Bool -> Substitution -> m ())
-> m [()]
forall (m :: * -> *) a.
MonadConversion m =>
Term
-> (IntMap Bool -> Blocker -> Term -> m a)
-> (IntMap Bool -> Substitution -> m a)
-> m [a]
forallFaceMaps Term
phi IntMap Bool -> Blocker -> Term -> m ()
postponed ((IntMap Bool -> Substitution -> m ()) -> m [()])
-> (IntMap Bool -> Substitution -> m ()) -> m [()]
forall a b. (a -> b) -> a -> b
$ \ IntMap Bool
faces Substitution
alpha ->
      Substitution -> Comparison -> Type -> Term -> Term -> m ()
k Substitution
alpha Comparison
cmp (Substitution' (SubstArg Type) -> Type -> Type
forall a. Subst a => Substitution' (SubstArg a) -> a -> a
applySubst Substitution
Substitution' (SubstArg Type)
alpha Type
ty) (Substitution' (SubstArg Term) -> Term -> Term
forall a. Subst a => Substitution' (SubstArg a) -> a -> a
applySubst Substitution
Substitution' (SubstArg Term)
alpha Term
u) (Substitution' (SubstArg Term) -> Term -> Term
forall a. Subst a => Substitution' (SubstArg a) -> a -> a
applySubst Substitution
Substitution' (SubstArg Term)
alpha Term
v)
  () -> m ()
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return ()
 where
  postponed :: IntMap Bool -> Blocker -> Term -> m ()
postponed IntMap Bool
ms Blocker
blocker Term
psi = do
    Term
phi <- Names -> NamesT m Term -> m Term
forall (m :: * -> *) a. Names -> NamesT m a -> m a
runNamesT [] (NamesT m Term -> m Term) -> NamesT m Term -> m Term
forall a b. (a -> b) -> a -> b
$ do
             Term
imin <- m Term -> NamesT m Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl (m Term -> NamesT m Term) -> m Term -> NamesT m Term
forall a b. (a -> b) -> a -> b
$ PrimitiveId -> m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
PrimitiveId -> m Term
getPrimitiveTerm PrimitiveId
PrimIMin
             Term
ineg <- m Term -> NamesT m Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl (m Term -> NamesT m Term) -> m Term -> NamesT m Term
forall a b. (a -> b) -> a -> b
$ PrimitiveId -> m Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
PrimitiveId -> m Term
getPrimitiveTerm PrimitiveId
PrimINeg
             NamesT m Term
psi <- Term -> NamesT m (NamesT m Term)
forall (m :: * -> *) a.
(MonadFail m, Subst a) =>
a -> NamesT m (NamesT m a)
open Term
psi
             let phi :: NamesT m Term
phi = ((Int, Bool) -> NamesT m Term -> NamesT m Term)
-> NamesT m Term -> [(Int, Bool)] -> NamesT m Term
forall a b. (a -> b -> b) -> b -> [a] -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr (\ (Int
i,Bool
b) NamesT m Term
r -> do NamesT m Term
i <- Term -> NamesT m (NamesT m Term)
forall (m :: * -> *) a.
(MonadFail m, Subst a) =>
a -> NamesT m (NamesT m a)
open (Int -> Term
var Int
i); Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
imin NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> (if Bool
b then NamesT m Term
i else Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
ineg NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
i) NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
r)
                          NamesT m Term
psi (IntMap Bool -> [(Int, Bool)]
forall a. IntMap a -> [(Int, a)]
IntMap.toList IntMap Bool
ms) -- TODO Andrea: make a view?
             NamesT m Term
phi
    Blocker -> Constraint -> m ()
forall (m :: * -> *).
MonadConstraint m =>
Blocker -> Constraint -> m ()
addConstraint Blocker
blocker (Comparison -> Term -> Type -> Term -> Term -> Constraint
ValueCmpOnFace Comparison
cmp Term
phi Type
ty Term
u Term
v)

---------------------------------------------------------------------------
-- * Definitions
---------------------------------------------------------------------------

bothAbsurd :: MonadConversion m => QName -> QName -> m Bool
bothAbsurd :: forall (m :: * -> *). MonadConversion m => QName -> QName -> m Bool
bothAbsurd QName
f QName
f'
  | QName -> Bool
isAbsurdLambdaName QName
f, QName -> Bool
isAbsurdLambdaName QName
f' = do
      -- Double check we are really dealing with absurd lambdas:
      -- Their functions should not have bodies.
      Definition
def  <- QName -> m Definition
forall (m :: * -> *). HasConstInfo m => QName -> m Definition
getConstInfo QName
f
      Definition
def' <- QName -> m Definition
forall (m :: * -> *). HasConstInfo m => QName -> m Definition
getConstInfo QName
f'
      case (Definition -> Defn
theDef Definition
def, Definition -> Defn
theDef Definition
def') of
        (Function{ funClauses :: Defn -> [Clause]
funClauses = [Clause{ clauseBody :: Clause -> Maybe Term
clauseBody = Maybe Term
Nothing }] },
         Function{ funClauses :: Defn -> [Clause]
funClauses = [Clause{ clauseBody :: Clause -> Maybe Term
clauseBody = Maybe Term
Nothing }] }) -> Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
True
        (Defn, Defn)
_ -> Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
False
  | Bool
otherwise = Bool -> m Bool
forall a. a -> m a
forall (m :: * -> *) a. Monad m => a -> m a
return Bool
False