DsArrows.hs 48 KB
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{-
(c) The University of Glasgow 2006
(c) The GRASP/AQUA Project, Glasgow University, 1992-1998

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Desugaring arrow commands
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-}
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{-# LANGUAGE CPP #-}
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{-# LANGUAGE TypeFamilies #-}
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module DsArrows ( dsProcExpr ) where

#include "HsVersions.h"

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import GhcPrelude

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import Match
import DsUtils
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import DsMonad

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import HsSyn    hiding (collectPatBinders, collectPatsBinders, collectLStmtsBinders, collectLStmtBinders, collectStmtBinders )
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import TcHsSyn
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import qualified HsUtils
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-- NB: The desugarer, which straddles the source and Core worlds, sometimes
--     needs to see source types (newtypes etc), and sometimes not
--     So WATCH OUT; check each use of split*Ty functions.
-- Sigh.  This is a pain.

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import {-# SOURCE #-} DsExpr ( dsExpr, dsLExpr, dsLExprNoLP, dsLocalBinds, dsSyntaxExpr )
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import TcType
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import Type ( splitPiTy )
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import TcEvidence
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import CoreSyn
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import CoreFVs
import CoreUtils
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import MkCore
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import DsBinds (dsHsWrapper)
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import Name
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import Id
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import ConLike
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import TysWiredIn
import BasicTypes
import PrelNames
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import Outputable
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import Bag
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import VarSet
import SrcLoc
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import ListSetOps( assocMaybe )
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import Data.List
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import Util
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import UniqDFM
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import UniqSet
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data DsCmdEnv = DsCmdEnv {
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        arr_id, compose_id, first_id, app_id, choice_id, loop_id :: CoreExpr
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    }

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mkCmdEnv :: CmdSyntaxTable GhcTc -> DsM ([CoreBind], DsCmdEnv)
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-- See Note [CmdSyntaxTable] in HsExpr
mkCmdEnv tc_meths
  = do { (meth_binds, prs) <- mapAndUnzipM mk_bind tc_meths
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       -- NB: Some of these lookups might fail, but that's OK if the
       -- symbol is never used. That's why we use Maybe first and then
       -- panic. An eager panic caused trouble in typecheck/should_compile/tc192
       ; let the_arr_id     = assocMaybe prs arrAName
             the_compose_id = assocMaybe prs composeAName
             the_first_id   = assocMaybe prs firstAName
             the_app_id     = assocMaybe prs appAName
             the_choice_id  = assocMaybe prs choiceAName
             the_loop_id    = assocMaybe prs loopAName

           -- used as an argument in, e.g., do_premap
       ; check_lev_poly 3 the_arr_id

           -- used as an argument in, e.g., dsCmdStmt/BodyStmt
       ; check_lev_poly 5 the_compose_id

           -- used as an argument in, e.g., dsCmdStmt/BodyStmt
       ; check_lev_poly 4 the_first_id

           -- the result of the_app_id is used as an argument in, e.g.,
           -- dsCmd/HsCmdArrApp/HsHigherOrderApp
       ; check_lev_poly 2 the_app_id

           -- used as an argument in, e.g., HsCmdIf
       ; check_lev_poly 5 the_choice_id

           -- used as an argument in, e.g., RecStmt
       ; check_lev_poly 4 the_loop_id

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       ; return (meth_binds, DsCmdEnv {
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               arr_id     = Var (unmaybe the_arr_id arrAName),
               compose_id = Var (unmaybe the_compose_id composeAName),
               first_id   = Var (unmaybe the_first_id firstAName),
               app_id     = Var (unmaybe the_app_id appAName),
               choice_id  = Var (unmaybe the_choice_id choiceAName),
               loop_id    = Var (unmaybe the_loop_id loopAName)
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             }) }
  where
    mk_bind (std_name, expr)
      = do { rhs <- dsExpr expr
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           ; id <- newSysLocalDs (exprType rhs)  -- no check needed; these are functions
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           ; return (NonRec id rhs, (std_name, id)) }
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    unmaybe Nothing name = pprPanic "mkCmdEnv" (text "Not found:" <+> ppr name)
    unmaybe (Just id) _  = id

      -- returns the result type of a pi-type (that is, a forall or a function)
      -- Note that this result type may be ill-scoped.
    res_type :: Type -> Type
    res_type ty = res_ty
      where
        (_, res_ty) = splitPiTy ty

    check_lev_poly :: Int -- arity
                   -> Maybe Id -> DsM ()
    check_lev_poly _     Nothing = return ()
    check_lev_poly arity (Just id)
      = dsNoLevPoly (nTimes arity res_type (idType id))
          (text "In the result of the function" <+> quotes (ppr id))

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-- arr :: forall b c. (b -> c) -> a b c
do_arr :: DsCmdEnv -> Type -> Type -> CoreExpr -> CoreExpr
do_arr ids b_ty c_ty f = mkApps (arr_id ids) [Type b_ty, Type c_ty, f]

-- (>>>) :: forall b c d. a b c -> a c d -> a b d
do_compose :: DsCmdEnv -> Type -> Type -> Type ->
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                CoreExpr -> CoreExpr -> CoreExpr
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do_compose ids b_ty c_ty d_ty f g
  = mkApps (compose_id ids) [Type b_ty, Type c_ty, Type d_ty, f, g]

-- first :: forall b c d. a b c -> a (b,d) (c,d)
do_first :: DsCmdEnv -> Type -> Type -> Type -> CoreExpr -> CoreExpr
do_first ids b_ty c_ty d_ty f
  = mkApps (first_id ids) [Type b_ty, Type c_ty, Type d_ty, f]

-- app :: forall b c. a (a b c, b) c
do_app :: DsCmdEnv -> Type -> Type -> CoreExpr
do_app ids b_ty c_ty = mkApps (app_id ids) [Type b_ty, Type c_ty]

-- (|||) :: forall b d c. a b d -> a c d -> a (Either b c) d
-- note the swapping of d and c
do_choice :: DsCmdEnv -> Type -> Type -> Type ->
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                CoreExpr -> CoreExpr -> CoreExpr
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do_choice ids b_ty c_ty d_ty f g
  = mkApps (choice_id ids) [Type b_ty, Type d_ty, Type c_ty, f, g]

-- loop :: forall b d c. a (b,d) (c,d) -> a b c
-- note the swapping of d and c
do_loop :: DsCmdEnv -> Type -> Type -> Type -> CoreExpr -> CoreExpr
do_loop ids b_ty c_ty d_ty f
  = mkApps (loop_id ids) [Type b_ty, Type d_ty, Type c_ty, f]

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-- premap :: forall b c d. (b -> c) -> a c d -> a b d
-- premap f g = arr f >>> g
do_premap :: DsCmdEnv -> Type -> Type -> Type ->
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                CoreExpr -> CoreExpr -> CoreExpr
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do_premap ids b_ty c_ty d_ty f g
   = do_compose ids b_ty c_ty d_ty (do_arr ids b_ty c_ty f) g
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mkFailExpr :: HsMatchContext Id -> Type -> DsM CoreExpr
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mkFailExpr ctxt ty
  = mkErrorAppDs pAT_ERROR_ID ty (matchContextErrString ctxt)

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-- construct CoreExpr for \ (a :: a_ty, b :: b_ty) -> a
mkFstExpr :: Type -> Type -> DsM CoreExpr
mkFstExpr a_ty b_ty = do
    a_var <- newSysLocalDs a_ty
    b_var <- newSysLocalDs b_ty
    pair_var <- newSysLocalDs (mkCorePairTy a_ty b_ty)
    return (Lam pair_var
               (coreCasePair pair_var a_var b_var (Var a_var)))

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-- construct CoreExpr for \ (a :: a_ty, b :: b_ty) -> b
mkSndExpr :: Type -> Type -> DsM CoreExpr
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mkSndExpr a_ty b_ty = do
    a_var <- newSysLocalDs a_ty
    b_var <- newSysLocalDs b_ty
    pair_var <- newSysLocalDs (mkCorePairTy a_ty b_ty)
    return (Lam pair_var
               (coreCasePair pair_var a_var b_var (Var b_var)))
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{-
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Build case analysis of a tuple.  This cannot be done in the DsM monad,
because the list of variables is typically not yet defined.
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-}
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-- coreCaseTuple [u1..] v [x1..xn] body
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--      = case v of v { (x1, .., xn) -> body }
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-- But the matching may be nested if the tuple is very big

coreCaseTuple :: UniqSupply -> Id -> [Id] -> CoreExpr -> CoreExpr
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coreCaseTuple uniqs scrut_var vars body
  = mkTupleCase uniqs vars body scrut_var (Var scrut_var)
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coreCasePair :: Id -> Id -> Id -> CoreExpr -> CoreExpr
coreCasePair scrut_var var1 var2 body
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  = Case (Var scrut_var) scrut_var (exprType body)
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         [(DataAlt (tupleDataCon Boxed 2), [var1, var2], body)]
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mkCorePairTy :: Type -> Type -> Type
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mkCorePairTy t1 t2 = mkBoxedTupleTy [t1, t2]
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mkCorePairExpr :: CoreExpr -> CoreExpr -> CoreExpr
mkCorePairExpr e1 e2 = mkCoreTup [e1, e2]
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mkCoreUnitExpr :: CoreExpr
mkCoreUnitExpr = mkCoreTup []
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{-
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The input is divided into a local environment, which is a flat tuple
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(unless it's too big), and a stack, which is a right-nested pair.
In general, the input has the form
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        ((x1,...,xn), (s1,...(sk,())...))
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where xi are the environment values, and si the ones on the stack,
with s1 being the "top", the first one to be matched with a lambda.
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-}
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envStackType :: [Id] -> Type -> Type
envStackType ids stack_ty = mkCorePairTy (mkBigCoreVarTupTy ids) stack_ty

-- splitTypeAt n (t1,... (tn,t)...) = ([t1, ..., tn], t)
splitTypeAt :: Int -> Type -> ([Type], Type)
splitTypeAt n ty
  | n == 0 = ([], ty)
  | otherwise = case tcTyConAppArgs ty of
      [t, ty'] -> let (ts, ty_r) = splitTypeAt (n-1) ty' in (t:ts, ty_r)
      _ -> pprPanic "splitTypeAt" (ppr ty)
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----------------------------------------------
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--              buildEnvStack
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--
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--      ((x1,...,xn),stk)
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buildEnvStack :: [Id] -> Id -> CoreExpr
buildEnvStack env_ids stack_id
  = mkCorePairExpr (mkBigCoreVarTup env_ids) (Var stack_id)
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----------------------------------------------
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--              matchEnvStack
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--
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--      \ ((x1,...,xn),stk) -> body
--      =>
--      \ pair ->
--      case pair of (tup,stk) ->
--      case tup of (x1,...,xn) ->
--      body

matchEnvStack   :: [Id]         -- x1..xn
                -> Id           -- stk
                -> CoreExpr     -- e
                -> DsM CoreExpr
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matchEnvStack env_ids stack_id body = do
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    uniqs <- newUniqueSupply
    tup_var <- newSysLocalDs (mkBigCoreVarTupTy env_ids)
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    let match_env = coreCaseTuple uniqs tup_var env_ids body
    pair_id <- newSysLocalDs (mkCorePairTy (idType tup_var) (idType stack_id))
    return (Lam pair_id (coreCasePair pair_id tup_var stack_id match_env))
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----------------------------------------------
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--              matchEnv
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--
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--      \ (x1,...,xn) -> body
--      =>
--      \ tup ->
--      case tup of (x1,...,xn) ->
--      body

matchEnv :: [Id]        -- x1..xn
         -> CoreExpr    -- e
         -> DsM CoreExpr
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matchEnv env_ids body = do
    uniqs <- newUniqueSupply
    tup_id <- newSysLocalDs (mkBigCoreVarTupTy env_ids)
    return (Lam tup_id (coreCaseTuple uniqs tup_id env_ids body))
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----------------------------------------------
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--              matchVarStack
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--
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--      case (x1, ...(xn, s)...) -> e
--      =>
--      case z0 of (x1,z1) ->
--      case zn-1 of (xn,s) ->
--      e
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matchVarStack :: [Id] -> Id -> CoreExpr -> DsM (Id, CoreExpr)
matchVarStack [] stack_id body = return (stack_id, body)
matchVarStack (param_id:param_ids) stack_id body = do
    (tail_id, tail_code) <- matchVarStack param_ids stack_id body
    pair_id <- newSysLocalDs (mkCorePairTy (idType param_id) (idType tail_id))
    return (pair_id, coreCasePair pair_id param_id tail_id tail_code)
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mkHsEnvStackExpr :: [Id] -> Id -> LHsExpr GhcTc
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mkHsEnvStackExpr env_ids stack_id
  = mkLHsTupleExpr [mkLHsVarTuple env_ids, nlHsVar stack_id]
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-- Translation of arrow abstraction
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-- D; xs |-a c : () --> t'      ---> c'
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-- --------------------------
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-- D |- proc p -> c :: a t t'   ---> premap (\ p -> ((xs),())) c'
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--
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--              where (xs) is the tuple of variables bound by p
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dsProcExpr
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        :: LPat GhcTc
        -> LHsCmdTop GhcTc
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        -> DsM CoreExpr
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dsProcExpr pat (L _ (HsCmdTop (CmdTopTc _unitTy cmd_ty ids) cmd)) = do
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    (meth_binds, meth_ids) <- mkCmdEnv ids
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    let locals = mkVarSet (collectPatBinders pat)
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    (core_cmd, _free_vars, env_ids) <- dsfixCmd meth_ids locals unitTy cmd_ty cmd
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    let env_ty = mkBigCoreVarTupTy env_ids
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    let env_stk_ty = mkCorePairTy env_ty unitTy
    let env_stk_expr = mkCorePairExpr (mkBigCoreVarTup env_ids) mkCoreUnitExpr
    fail_expr <- mkFailExpr ProcExpr env_stk_ty
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    var <- selectSimpleMatchVarL pat
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    match_code <- matchSimply (Var var) ProcExpr pat env_stk_expr fail_expr
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    let pat_ty = hsLPatType pat
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    let proc_code = do_premap meth_ids pat_ty env_stk_ty cmd_ty
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                    (Lam var match_code)
                    core_cmd
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    return (mkLets meth_binds proc_code)
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dsProcExpr _ (L _ XCmdTop{}) = panic "dsProcExpr"
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{-
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Translation of a command judgement of the form

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        D; xs |-a c : stk --> t
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to an expression e such that
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        D |- e :: a (xs, stk) t
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-}
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dsLCmd :: DsCmdEnv -> IdSet -> Type -> Type -> LHsCmd GhcTc -> [Id]
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       -> DsM (CoreExpr, DIdSet)
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dsLCmd ids local_vars stk_ty res_ty cmd env_ids
  = dsCmd ids local_vars stk_ty res_ty (unLoc cmd) env_ids
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dsCmd   :: DsCmdEnv             -- arrow combinators
        -> IdSet                -- set of local vars available to this command
        -> Type                 -- type of the stack (right-nested tuple)
        -> Type                 -- return type of the command
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        -> HsCmd GhcTc           -- command to desugar
        -> [Id]           -- list of vars in the input to this command
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                                -- This is typically fed back,
                                -- so don't pull on it too early
        -> DsM (CoreExpr,       -- desugared expression
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                DIdSet)         -- subset of local vars that occur free
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-- D |- fun :: a t1 t2
-- D, xs |- arg :: t1
-- -----------------------------
-- D; xs |-a fun -< arg : stk --> t2
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--
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--              ---> premap (\ ((xs), _stk) -> arg) fun
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dsCmd ids local_vars stack_ty res_ty
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        (HsCmdArrApp arrow_ty arrow arg HsFirstOrderApp _)
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        env_ids = do
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    let
        (a_arg_ty, _res_ty') = tcSplitAppTy arrow_ty
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        (_a_ty, arg_ty) = tcSplitAppTy a_arg_ty
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    core_arrow <- dsLExprNoLP arrow
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    core_arg   <- dsLExpr arg
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    stack_id   <- newSysLocalDs stack_ty
    core_make_arg <- matchEnvStack env_ids stack_id core_arg
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    return (do_premap ids
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              (envStackType env_ids stack_ty)
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              arg_ty
              res_ty
              core_make_arg
              core_arrow,
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            exprFreeIdsDSet core_arg `udfmIntersectUFM` (getUniqSet local_vars))
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-- D, xs |- fun :: a t1 t2
-- D, xs |- arg :: t1
-- ------------------------------
-- D; xs |-a fun -<< arg : stk --> t2
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--
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--              ---> premap (\ ((xs), _stk) -> (fun, arg)) app
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dsCmd ids local_vars stack_ty res_ty
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        (HsCmdArrApp arrow_ty arrow arg HsHigherOrderApp _)
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        env_ids = do
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    let
        (a_arg_ty, _res_ty') = tcSplitAppTy arrow_ty
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        (_a_ty, arg_ty) = tcSplitAppTy a_arg_ty
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    core_arrow <- dsLExpr arrow
    core_arg   <- dsLExpr arg
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    stack_id   <- newSysLocalDs stack_ty
    core_make_pair <- matchEnvStack env_ids stack_id
          (mkCorePairExpr core_arrow core_arg)

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    return (do_premap ids
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              (envStackType env_ids stack_ty)
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              (mkCorePairTy arrow_ty arg_ty)
              res_ty
              core_make_pair
              (do_app ids arg_ty res_ty),
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            (exprsFreeIdsDSet [core_arrow, core_arg])
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              `udfmIntersectUFM` getUniqSet local_vars)
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-- D; ys |-a cmd : (t,stk) --> t'
-- D, xs |-  exp :: t
-- ------------------------
-- D; xs |-a cmd exp : stk --> t'
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--
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--              ---> premap (\ ((xs),stk) -> ((ys),(e,stk))) cmd
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dsCmd ids local_vars stack_ty res_ty (HsCmdApp _ cmd arg) env_ids = do
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    core_arg <- dsLExpr arg
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    let
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        arg_ty = exprType core_arg
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        stack_ty' = mkCorePairTy arg_ty stack_ty
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    (core_cmd, free_vars, env_ids')
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             <- dsfixCmd ids local_vars stack_ty' res_ty cmd
    stack_id <- newSysLocalDs stack_ty
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    arg_id <- newSysLocalDsNoLP arg_ty
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    -- push the argument expression onto the stack
    let
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        stack' = mkCorePairExpr (Var arg_id) (Var stack_id)
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        core_body = bindNonRec arg_id core_arg
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                        (mkCorePairExpr (mkBigCoreVarTup env_ids') stack')
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    -- match the environment and stack against the input
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    core_map <- matchEnvStack env_ids stack_id core_body
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    return (do_premap ids
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                      (envStackType env_ids stack_ty)
                      (envStackType env_ids' stack_ty')
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                      res_ty
                      core_map
                      core_cmd,
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            free_vars `unionDVarSet`
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              (exprFreeIdsDSet core_arg `udfmIntersectUFM` getUniqSet local_vars))
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-- D; ys |-a cmd : stk t'
-- -----------------------------------------------
-- D; xs |-a \ p1 ... pk -> cmd : (t1,...(tk,stk)...) t'
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--
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--              ---> premap (\ ((xs), (p1, ... (pk,stk)...)) -> ((ys),stk)) cmd
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dsCmd ids local_vars stack_ty res_ty
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        (HsCmdLam _ (MG { mg_alts
          = L _ [L _ (Match { m_pats  = pats
                            , m_grhss = GRHSs _ [L _ (GRHS _ [] body)] _ })] }))
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        env_ids = do
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    let pat_vars = mkVarSet (collectPatsBinders pats)
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    let
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        local_vars' = pat_vars `unionVarSet` local_vars
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        (pat_tys, stack_ty') = splitTypeAt (length pats) stack_ty
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    (core_body, free_vars, env_ids') <- dsfixCmd ids local_vars' stack_ty' res_ty body
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    param_ids <- mapM newSysLocalDsNoLP pat_tys
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    stack_id' <- newSysLocalDs stack_ty'
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    -- the expression is built from the inside out, so the actions
    -- are presented in reverse order

    let
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        -- build a new environment, plus what's left of the stack
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        core_expr = buildEnvStack env_ids' stack_id'
        in_ty = envStackType env_ids stack_ty
        in_ty' = envStackType env_ids' stack_ty'
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    fail_expr <- mkFailExpr LambdaExpr in_ty'
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    -- match the patterns against the parameters
    match_code <- matchSimplys (map Var param_ids) LambdaExpr pats core_expr fail_expr
    -- match the parameters against the top of the old stack
    (stack_id, param_code) <- matchVarStack param_ids stack_id' match_code
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    -- match the old environment and stack against the input
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    select_code <- matchEnvStack env_ids stack_id param_code
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    return (do_premap ids in_ty in_ty' res_ty select_code core_body,
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            free_vars `udfmMinusUFM` getUniqSet pat_vars)
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dsCmd ids local_vars stack_ty res_ty (HsCmdPar _ cmd) env_ids
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  = dsLCmd ids local_vars stack_ty res_ty cmd env_ids
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-- D, xs |- e :: Bool
-- D; xs1 |-a c1 : stk --> t
-- D; xs2 |-a c2 : stk --> t
-- ----------------------------------------
-- D; xs |-a if e then c1 else c2 : stk --> t
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--
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--              ---> premap (\ ((xs),stk) ->
--                       if e then Left ((xs1),stk) else Right ((xs2),stk))
--                     (c1 ||| c2)
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dsCmd ids local_vars stack_ty res_ty (HsCmdIf _ mb_fun cond then_cmd else_cmd)
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        env_ids = do
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    core_cond <- dsLExpr cond
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    (core_then, fvs_then, then_ids) <- dsfixCmd ids local_vars stack_ty res_ty then_cmd
    (core_else, fvs_else, else_ids) <- dsfixCmd ids local_vars stack_ty res_ty else_cmd
    stack_id   <- newSysLocalDs stack_ty
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    either_con <- dsLookupTyCon eitherTyConName
    left_con   <- dsLookupDataCon leftDataConName
    right_con  <- dsLookupDataCon rightDataConName
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    let mk_left_expr ty1 ty2 e = mkCoreConApps left_con   [Type ty1, Type ty2, e]
        mk_right_expr ty1 ty2 e = mkCoreConApps right_con [Type ty1, Type ty2, e]
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        in_ty = envStackType env_ids stack_ty
        then_ty = envStackType then_ids stack_ty
        else_ty = envStackType else_ids stack_ty
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        sum_ty = mkTyConApp either_con [then_ty, else_ty]
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        fvs_cond = exprFreeIdsDSet core_cond `udfmIntersectUFM` getUniqSet local_vars
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        core_left  = mk_left_expr  then_ty else_ty (buildEnvStack then_ids stack_id)
        core_right = mk_right_expr then_ty else_ty (buildEnvStack else_ids stack_id)
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    core_if <- case mb_fun of
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       Just fun -> do { fun_apps <- dsSyntaxExpr fun [core_cond, core_left, core_right]
                      ; matchEnvStack env_ids stack_id fun_apps }
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       Nothing  -> matchEnvStack env_ids stack_id $
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                   mkIfThenElse core_cond core_left core_right

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    return (do_premap ids in_ty sum_ty res_ty
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                core_if
                (do_choice ids then_ty else_ty res_ty core_then core_else),
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        fvs_cond `unionDVarSet` fvs_then `unionDVarSet` fvs_else)
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{-
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Case commands are treated in much the same way as if commands
(see above) except that there are more alternatives.  For example

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        case e of { p1 -> c1; p2 -> c2; p3 -> c3 }
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is translated to

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        premap (\ ((xs)*ts) -> case e of
                p1 -> (Left (Left (xs1)*ts))
                p2 -> Left ((Right (xs2)*ts))
                p3 -> Right ((xs3)*ts))
        ((c1 ||| c2) ||| c3)
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The idea is to extract the commands from the case, build a balanced tree
of choices, and replace the commands with expressions that build tagged
tuples, obtaining a case expression that can be desugared normally.
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To build all this, we use triples describing segments of the list of
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case bodies, containing the following fields:
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 * a list of expressions of the form (Left|Right)* ((xs)*ts), to be put
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   into the case replacing the commands
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 * a sum type that is the common type of these expressions, and also the
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   input type of the arrow
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 * a CoreExpr for an arrow built by combining the translated command
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   bodies with |||.
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-}
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dsCmd ids local_vars stack_ty res_ty
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      (HsCmdCase _ exp (MG { mg_alts = L l matches
                           , mg_ext = MatchGroupTc arg_tys _
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                           , mg_origin = origin }))
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      env_ids = do
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    stack_id <- newSysLocalDs stack_ty
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    -- Extract and desugar the leaf commands in the case, building tuple
    -- expressions that will (after tagging) replace these leaves

    let
        leaves = concatMap leavesMatch matches
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        make_branch (leaf, bound_vars) = do
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            (core_leaf, _fvs, leaf_ids) <-
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                  dsfixCmd ids (bound_vars `unionVarSet` local_vars) stack_ty res_ty leaf
            return ([mkHsEnvStackExpr leaf_ids stack_id],
                    envStackType leaf_ids stack_ty,
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                    core_leaf)
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    branches <- mapM make_branch leaves
    either_con <- dsLookupTyCon eitherTyConName
    left_con <- dsLookupDataCon leftDataConName
    right_con <- dsLookupDataCon rightDataConName
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    let
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        left_id  = HsConLikeOut noExt (RealDataCon left_con)
        right_id = HsConLikeOut noExt (RealDataCon right_con)
        left_expr  ty1 ty2 e = noLoc $ HsApp noExt
                           (noLoc $ mkHsWrap (mkWpTyApps [ty1, ty2]) left_id ) e
        right_expr ty1 ty2 e = noLoc $ HsApp noExt
                           (noLoc $ mkHsWrap (mkWpTyApps [ty1, ty2]) right_id) e
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        -- Prefix each tuple with a distinct series of Left's and Right's,
        -- in a balanced way, keeping track of the types.
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        merge_branches (builds1, in_ty1, core_exp1)
                       (builds2, in_ty2, core_exp2)
          = (map (left_expr in_ty1 in_ty2) builds1 ++
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                map (right_expr in_ty1 in_ty2) builds2,
             mkTyConApp either_con [in_ty1, in_ty2],
             do_choice ids in_ty1 in_ty2 res_ty core_exp1 core_exp2)
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        (leaves', sum_ty, core_choices) = foldb merge_branches branches
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        -- Replace the commands in the case with these tagged tuples,
        -- yielding a HsExpr Id we can feed to dsExpr.

        (_, matches') = mapAccumL (replaceLeavesMatch res_ty) leaves' matches
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        in_ty = envStackType env_ids stack_ty
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    core_body <- dsExpr (HsCase noExt exp
                         (MG { mg_alts = L l matches'
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                             , mg_ext = MatchGroupTc arg_tys sum_ty
                             , mg_origin = origin }))
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        -- Note that we replace the HsCase result type by sum_ty,
        -- which is the type of matches'
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    core_matches <- matchEnvStack env_ids stack_id core_body
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    return (do_premap ids in_ty sum_ty res_ty core_matches core_choices,
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            exprFreeIdsDSet core_body `udfmIntersectUFM` getUniqSet local_vars)
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-- D; ys |-a cmd : stk --> t
-- ----------------------------------
-- D; xs |-a let binds in cmd : stk --> t
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--
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--              ---> premap (\ ((xs),stk) -> let binds in ((ys),stk)) c
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dsCmd ids local_vars stack_ty res_ty (HsCmdLet _ lbinds@(L _ binds) body)
                                                                    env_ids = do
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    let
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        defined_vars = mkVarSet (collectLocalBinders binds)
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        local_vars' = defined_vars `unionVarSet` local_vars
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    (core_body, _free_vars, env_ids') <- dsfixCmd ids local_vars' stack_ty res_ty body
    stack_id <- newSysLocalDs stack_ty
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    -- build a new environment, plus the stack, using the let bindings
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    core_binds <- dsLocalBinds lbinds (buildEnvStack env_ids' stack_id)
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    -- match the old environment and stack against the input
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    core_map <- matchEnvStack env_ids stack_id core_binds
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    return (do_premap ids
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                        (envStackType env_ids stack_ty)
                        (envStackType env_ids' stack_ty)
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                        res_ty
                        core_map
                        core_body,
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        exprFreeIdsDSet core_binds `udfmIntersectUFM` getUniqSet local_vars)
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-- D; xs |-a ss : t
-- ----------------------------------
-- D; xs |-a do { ss } : () --> t
--
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--              ---> premap (\ (env,stk) -> env) c
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dsCmd ids local_vars stack_ty res_ty do_block@(HsCmdDo stmts_ty (L loc stmts))
                                                                   env_ids = do
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    putSrcSpanDs loc $
      dsNoLevPoly stmts_ty
        (text "In the do-command:" <+> ppr do_block)
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    (core_stmts, env_ids') <- dsCmdDo ids local_vars res_ty stmts env_ids
    let env_ty = mkBigCoreVarTupTy env_ids
    core_fst <- mkFstExpr env_ty stack_ty
    return (do_premap ids
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                (mkCorePairTy env_ty stack_ty)
                env_ty
                res_ty
                core_fst
                core_stmts,
        env_ids')
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-- D |- e :: forall e. a1 (e,stk1) t1 -> ... an (e,stkn) tn -> a (e,stk) t
-- D; xs |-a ci :: stki --> ti
-- -----------------------------------
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-- D; xs |-a (|e c1 ... cn|) :: stk --> t       ---> e [t_xs] c1 ... cn
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dsCmd _ local_vars _stack_ty _res_ty (HsCmdArrForm _ op _ _ args) env_ids = do
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    let env_ty = mkBigCoreVarTupTy env_ids
    core_op <- dsLExpr op
    (core_args, fv_sets) <- mapAndUnzipM (dsTrimCmdArg local_vars env_ids) args
    return (mkApps (App core_op (Type env_ty)) core_args,
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            unionDVarSets fv_sets)
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dsCmd ids local_vars stack_ty res_ty (HsCmdWrap _ wrap cmd) env_ids = do
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    (core_cmd, env_ids') <- dsCmd ids local_vars stack_ty res_ty cmd env_ids
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    core_wrap <- dsHsWrapper wrap
    return (core_wrap core_cmd, env_ids')
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dsCmd _ _ _ _ _ c = pprPanic "dsCmd" (ppr c)

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-- D; ys |-a c : stk --> t      (ys <= xs)
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-- ---------------------
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-- D; xs |-a c : stk --> t      ---> premap (\ ((xs),stk) -> ((ys),stk)) c
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dsTrimCmdArg
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        :: IdSet                -- set of local vars available to this command
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        -> [Id]           -- list of vars in the input to this command
        -> LHsCmdTop GhcTc       -- command argument to desugar
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        -> DsM (CoreExpr,       -- desugared expression
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                DIdSet)         -- subset of local vars that occur free
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dsTrimCmdArg local_vars env_ids
                       (L _ (HsCmdTop (CmdTopTc stack_ty cmd_ty ids) cmd )) = do
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    (meth_binds, meth_ids) <- mkCmdEnv ids
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    (core_cmd, free_vars, env_ids') <- dsfixCmd meth_ids local_vars stack_ty cmd_ty cmd
    stack_id <- newSysLocalDs stack_ty
    trim_code <- matchEnvStack env_ids stack_id (buildEnvStack env_ids' stack_id)
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    let
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        in_ty = envStackType env_ids stack_ty
        in_ty' = envStackType env_ids' stack_ty
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        arg_code = if env_ids' == env_ids then core_cmd else
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                do_premap meth_ids in_ty in_ty' cmd_ty trim_code core_cmd
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    return (mkLets meth_binds arg_code, free_vars)
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dsTrimCmdArg _ _ (L _ XCmdTop{}) = panic "dsTrimCmdArg"
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-- Given D; xs |-a c : stk --> t, builds c with xs fed back.
-- Typically needs to be prefixed with arr (\(p, stk) -> ((xs),stk))
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dsfixCmd
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        :: DsCmdEnv             -- arrow combinators
        -> IdSet                -- set of local vars available to this command
        -> Type                 -- type of the stack (right-nested tuple)
        -> Type                 -- return type of the command
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        -> LHsCmd GhcTc         -- command to desugar
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        -> DsM (CoreExpr,       -- desugared expression
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                DIdSet,         -- subset of local vars that occur free
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                [Id])           -- the same local vars as a list, fed back
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dsfixCmd ids local_vars stk_ty cmd_ty cmd
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  = do { putSrcSpanDs (getLoc cmd) $ dsNoLevPoly cmd_ty
           (text "When desugaring the command:" <+> ppr cmd)
       ; trimInput (dsLCmd ids local_vars stk_ty cmd_ty cmd) }
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-- Feed back the list of local variables actually used a command,
-- for use as the input tuple of the generated arrow.

trimInput
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        :: ([Id] -> DsM (CoreExpr, DIdSet))
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        -> DsM (CoreExpr,       -- desugared expression
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                DIdSet,         -- subset of local vars that occur free
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                [Id])           -- same local vars as a list, fed back to
                                -- the inner function to form the tuple of
                                -- inputs to the arrow.
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trimInput build_arrow
  = fixDs (\ ~(_,_,env_ids) -> do
        (core_cmd, free_vars) <- build_arrow env_ids
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        return (core_cmd, free_vars, dVarSetElems free_vars))
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{-
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Translation of command judgements of the form

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        D |-a do { ss } : t
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-}
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dsCmdDo :: DsCmdEnv             -- arrow combinators
        -> IdSet                -- set of local vars available to this statement
        -> Type                 -- return type of the statement
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        -> [CmdLStmt GhcTc]     -- statements to desugar
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        -> [Id]                 -- list of vars in the input to this statement
                                -- This is typically fed back,
                                -- so don't pull on it too early
        -> DsM (CoreExpr,       -- desugared expression
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                DIdSet)         -- subset of local vars that occur free
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dsCmdDo _ _ _ [] _ = panic "dsCmdDo"
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-- D; xs |-a c : () --> t
-- --------------------------
-- D; xs |-a do { c } : t
--
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--              ---> premap (\ (xs) -> ((xs), ())) c
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dsCmdDo ids local_vars res_ty [L loc (LastStmt _ body _ _)] env_ids = do
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    putSrcSpanDs loc $ dsNoLevPoly res_ty
                         (text "In the command:" <+> ppr body)
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    (core_body, env_ids') <- dsLCmd ids local_vars unitTy res_ty body env_ids
    let env_ty = mkBigCoreVarTupTy env_ids
    env_var <- newSysLocalDs env_ty
    let core_map = Lam env_var (mkCorePairExpr (Var env_var) mkCoreUnitExpr)
    return (do_premap ids
                        env_ty
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                        (mkCorePairTy env_ty unitTy)
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                        res_ty
                        core_map
                        core_body,
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        env_ids')
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dsCmdDo ids local_vars res_ty (stmt:stmts) env_ids = do
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    let bound_vars  = mkVarSet (collectLStmtBinders stmt)
    let local_vars' = bound_vars `unionVarSet` local_vars
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    (core_stmts, _, env_ids') <- trimInput (dsCmdDo ids local_vars' res_ty stmts)
    (core_stmt, fv_stmt) <- dsCmdLStmt ids local_vars env_ids' stmt env_ids
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    return (do_compose ids
                (mkBigCoreVarTupTy env_ids)
                (mkBigCoreVarTupTy env_ids')
                res_ty
                core_stmt
                core_stmts,
              fv_stmt)
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{-
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A statement maps one local environment to another, and is represented
as an arrow from one tuple type to another.  A statement sequence is
translated to a composition of such arrows.
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-}

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dsCmdLStmt :: DsCmdEnv -> IdSet -> [Id] -> CmdLStmt GhcTc -> [Id]
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           -> DsM (CoreExpr, DIdSet)