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%
% (c) The GRASP/AQUA Project, Glasgow University, 1992-1998
%
\section[DsListComp]{Desugaring list comprehensions and array comprehensions}

\begin{code}
module DsListComp ( dsListComp, dsPArrComp ) where

#include "HsVersions.h"

import {-# SOURCE #-} DsExpr ( dsLExpr, dsLocalBinds )

import BasicTypes	( Boxity(..) )
import HsSyn
import TcHsSyn		( hsPatType, mkVanillaTuplePat )
import CoreSyn

import DsMonad		-- the monadery used in the desugarer
import DsUtils

import DynFlags		( DynFlag(..), dopt )
import StaticFlags	( opt_RulesOff )
import CoreUtils	( exprType, mkIfThenElse )
import Id		( idType )
import Var              ( Id )
import Type		( mkTyVarTy, mkFunTys, mkFunTy, Type,
			  splitTyConApp_maybe )
import TysPrim		( alphaTyVar )
import TysWiredIn	( nilDataCon, consDataCon, trueDataConId, falseDataConId, 
			  unitDataConId, unitTy, mkListTy, parrTyCon )
import Match		( matchSimply )
import PrelNames	( foldrName, buildName, replicatePName, mapPName, 
			  filterPName, zipPName, crossPName ) 
import PrelInfo		( pAT_ERROR_ID )
import SrcLoc		( noLoc, unLoc )
import Panic		( panic )
\end{code}

List comprehensions may be desugared in one of two ways: ``ordinary''
(as you would expect if you read SLPJ's book) and ``with foldr/build
turned on'' (if you read Gill {\em et al.}'s paper on the subject).

There will be at least one ``qualifier'' in the input.

\begin{code}
dsListComp :: [LStmt Id] 
	   -> LHsExpr Id
	   -> Type		-- Type of list elements
	   -> DsM CoreExpr
dsListComp lquals body elt_ty
  = getDOptsDs  `thenDs` \dflags ->
    let
	quals = map unLoc lquals
    in
    if opt_RulesOff || dopt Opt_IgnoreInterfacePragmas dflags
	-- Either rules are switched off, or we are ignoring what there are;
	-- Either way foldr/build won't happen, so use the more efficient
	-- Wadler-style desugaring
  	|| isParallelComp quals
		-- Foldr-style desugaring can't handle
		-- parallel list comprehensions
  	then deListComp quals body (mkNilExpr elt_ty)

   else		-- Foldr/build should be enabled, so desugar 
		-- into foldrs and builds
    newTyVarsDs [alphaTyVar]    `thenDs` \ [n_tyvar] ->
    let
	n_ty = mkTyVarTy n_tyvar
        c_ty = mkFunTys [elt_ty, n_ty] n_ty
    in
    newSysLocalsDs [c_ty,n_ty]		`thenDs` \ [c, n] ->
    dfListComp c n quals body		`thenDs` \ result ->
    dsLookupGlobalId buildName	`thenDs` \ build_id ->
    returnDs (Var build_id `App` Type elt_ty 
			   `App` mkLams [n_tyvar, c, n] result)

  where isParallelComp (ParStmt bndrstmtss : _) = True
	isParallelComp _                        = False
\end{code}

%************************************************************************
%*									*
\subsection[DsListComp-ordinary]{Ordinary desugaring of list comprehensions}
%*									*
%************************************************************************

Just as in Phil's chapter~7 in SLPJ, using the rules for
optimally-compiled list comprehensions.  This is what Kevin followed
as well, and I quite happily do the same.  The TQ translation scheme
transforms a list of qualifiers (either boolean expressions or
generators) into a single expression which implements the list
comprehension.  Because we are generating 2nd-order polymorphic
lambda-calculus, calls to NIL and CONS must be applied to a type
argument, as well as their usual value arguments.
\begin{verbatim}
TE << [ e | qs ] >>  =  TQ << [ e | qs ] ++ Nil (typeOf e) >>

(Rule C)
TQ << [ e | ] ++ L >> = Cons (typeOf e) TE <<e>> TE <<L>>

(Rule B)
TQ << [ e | b , qs ] ++ L >> =
    if TE << b >> then TQ << [ e | qs ] ++ L >> else TE << L >>

(Rule A')
TQ << [ e | p <- L1, qs ]  ++  L2 >> =
  letrec
    h = \ u1 ->
    	  case u1 of
	    []        ->  TE << L2 >>
	    (u2 : u3) ->
		  (( \ TE << p >> -> ( TQ << [e | qs]  ++  (h u3) >> )) u2)
		    [] (h u3)
  in
    h ( TE << L1 >> )

"h", "u1", "u2", and "u3" are new variables.
\end{verbatim}

@deListComp@ is the TQ translation scheme.  Roughly speaking, @dsExpr@
is the TE translation scheme.  Note that we carry around the @L@ list
already desugared.  @dsListComp@ does the top TE rule mentioned above.

To the above, we add an additional rule to deal with parallel list
comprehensions.  The translation goes roughly as follows:
     [ e | p1 <- e11, let v1 = e12, p2 <- e13
         | q1 <- e21, let v2 = e22, q2 <- e23]
     =>
     [ e | ((x1, .., xn), (y1, ..., ym)) <-
               zip [(x1,..,xn) | p1 <- e11, let v1 = e12, p2 <- e13]
                   [(y1,..,ym) | q1 <- e21, let v2 = e22, q2 <- e23]]
where (x1, .., xn) are the variables bound in p1, v1, p2
      (y1, .., ym) are the variables bound in q1, v2, q2

In the translation below, the ParStmt branch translates each parallel branch
into a sub-comprehension, and desugars each independently.  The resulting lists
are fed to a zip function, we create a binding for all the variables bound in all
the comprehensions, and then we hand things off the the desugarer for bindings.
The zip function is generated here a) because it's small, and b) because then we
don't have to deal with arbitrary limits on the number of zip functions in the
prelude, nor which library the zip function came from.
The introduced tuples are Boxed, but only because I couldn't get it to work
with the Unboxed variety.

\begin{code}
deListComp :: [Stmt Id] -> LHsExpr Id -> CoreExpr -> DsM CoreExpr

deListComp (ParStmt stmtss_w_bndrs : quals) body list
  = mappM do_list_comp stmtss_w_bndrs	`thenDs` \ exps ->
    mkZipBind qual_tys			`thenDs` \ (zip_fn, zip_rhs) ->

	-- Deal with [e | pat <- zip l1 .. ln] in example above
    deBindComp pat (Let (Rec [(zip_fn, zip_rhs)]) (mkApps (Var zip_fn) exps)) 
		   quals body list

  where 
	bndrs_s = map snd stmtss_w_bndrs

	-- pat is the pattern ((x1,..,xn), (y1,..,ym)) in the example above
	pat	 = mkTuplePat pats
	pats	 = map mk_hs_tuple_pat bndrs_s

	-- Types of (x1,..,xn), (y1,..,yn) etc
	qual_tys = map mk_bndrs_tys bndrs_s

	do_list_comp (stmts, bndrs)
	  = dsListComp stmts (mk_hs_tuple_expr bndrs)
		       (mk_bndrs_tys bndrs)

	mk_bndrs_tys bndrs = mkCoreTupTy (map idType bndrs)

	-- Last: the one to return
deListComp [] body list		-- Figure 7.4, SLPJ, p 135, rule C above
  = dsLExpr body		`thenDs` \ core_body ->
    returnDs (mkConsExpr (exprType core_body) core_body list)

	-- Non-last: must be a guard
deListComp (ExprStmt guard _ _ : quals) body list	-- rule B above
  = dsLExpr guard      		`thenDs` \ core_guard ->
    deListComp quals body list	`thenDs` \ core_rest ->
    returnDs (mkIfThenElse core_guard core_rest list)

-- [e | let B, qs] = let B in [e | qs]
deListComp (LetStmt binds : quals) body list
  = deListComp quals body list	`thenDs` \ core_rest ->
    dsLocalBinds binds core_rest

deListComp (BindStmt pat list1 _ _ : quals) body core_list2 -- rule A' above
  = dsLExpr list1		    `thenDs` \ core_list1 ->
    deBindComp pat core_list1 quals body core_list2
\end{code}


\begin{code}
deBindComp pat core_list1 quals body core_list2
  = let
	u3_ty@u1_ty = exprType core_list1	-- two names, same thing

	-- u1_ty is a [alpha] type, and u2_ty = alpha
	u2_ty = hsPatType pat

	res_ty = exprType core_list2
	h_ty   = u1_ty `mkFunTy` res_ty
    in
    newSysLocalsDs [h_ty, u1_ty, u2_ty, u3_ty]	`thenDs` \ [h, u1, u2, u3] ->

    -- the "fail" value ...
    let
	core_fail   = App (Var h) (Var u3)
	letrec_body = App (Var h) core_list1
    in
    deListComp quals body core_fail		`thenDs` \ rest_expr ->
    matchSimply (Var u2) (StmtCtxt ListComp) pat
		rest_expr core_fail		`thenDs` \ core_match ->
    let
	rhs = Lam u1 $
	      Case (Var u1) u1 res_ty
		   [(DataAlt nilDataCon,  [], 	    core_list2),
		    (DataAlt consDataCon, [u2, u3], core_match)]
			-- Increasing order of tag
    in
    returnDs (Let (Rec [(h, rhs)]) letrec_body)
\end{code}


\begin{code}
mkZipBind :: [Type] -> DsM (Id, CoreExpr)
-- mkZipBind [t1, t2] 
-- = (zip, \as1:[t1] as2:[t2] 
--	   -> case as1 of 
--		[] -> []
--		(a1:as'1) -> case as2 of
--				[] -> []
--				(a2:as'2) -> (a2,a2) : zip as'1 as'2)]

mkZipBind elt_tys 
  = mappM newSysLocalDs  list_tys	`thenDs` \ ass ->
    mappM newSysLocalDs  elt_tys	`thenDs` \ as' ->
    mappM newSysLocalDs  list_tys	`thenDs` \ as's ->
    newSysLocalDs zip_fn_ty		`thenDs` \ zip_fn ->
    let 
	inner_rhs = mkConsExpr ret_elt_ty 
			(mkCoreTup (map Var as'))
			(mkVarApps (Var zip_fn) as's)
	zip_body  = foldr mk_case inner_rhs (zip3 ass as' as's)
    in
    returnDs (zip_fn, mkLams ass zip_body)
  where
    list_tys    = map mkListTy elt_tys
    ret_elt_ty  = mkCoreTupTy elt_tys
    list_ret_ty = mkListTy ret_elt_ty
    zip_fn_ty   = mkFunTys list_tys list_ret_ty

    mk_case (as, a', as') rest
	  = Case (Var as) as list_ret_ty
		  [(DataAlt nilDataCon,  [],        mkNilExpr ret_elt_ty),
		   (DataAlt consDataCon, [a', as'], rest)]
			-- Increasing order of tag
-- Helper functions that makes an HsTuple only for non-1-sized tuples
mk_hs_tuple_expr :: [Id] -> LHsExpr Id
mk_hs_tuple_expr []   = nlHsVar unitDataConId
mk_hs_tuple_expr [id] = nlHsVar id
mk_hs_tuple_expr ids  = noLoc $ ExplicitTuple [ nlHsVar i | i <- ids ] Boxed

mk_hs_tuple_pat :: [Id] -> LPat Id
mk_hs_tuple_pat bs  = mkTuplePat (map nlVarPat bs)
\end{code}


%************************************************************************
%*									*
\subsection[DsListComp-foldr-build]{Foldr/Build desugaring of list comprehensions}
%*									*
%************************************************************************

@dfListComp@ are the rules used with foldr/build turned on:

\begin{verbatim}
TE[ e | ]            c n = c e n
TE[ e | b , q ]      c n = if b then TE[ e | q ] c n else n
TE[ e | p <- l , q ] c n = let 
				f = \ x b -> case x of
						  p -> TE[ e | q ] c b
						  _ -> b
			   in
			   foldr f n l
\end{verbatim}

\begin{code}
dfListComp :: Id -> Id			-- 'c' and 'n'
	   -> [Stmt Id] 	-- the rest of the qual's
	   -> LHsExpr Id
	   -> DsM CoreExpr

	-- Last: the one to return
dfListComp c_id n_id [] body
  = dsLExpr body		`thenDs` \ core_body ->
    returnDs (mkApps (Var c_id) [core_body, Var n_id])

	-- Non-last: must be a guard
dfListComp c_id n_id (ExprStmt guard _ _  : quals) body
  = dsLExpr guard              		`thenDs` \ core_guard ->
    dfListComp c_id n_id quals body	`thenDs` \ core_rest ->
    returnDs (mkIfThenElse core_guard core_rest (Var n_id))

dfListComp c_id n_id (LetStmt binds : quals) body
  -- new in 1.3, local bindings
  = dfListComp c_id n_id quals body	`thenDs` \ core_rest ->
    dsLocalBinds binds core_rest

dfListComp c_id n_id (BindStmt pat list1 _ _ : quals) body
    -- evaluate the two lists
  = dsLExpr list1			`thenDs` \ core_list1 ->

    -- find the required type
    let x_ty   = hsPatType pat
	b_ty   = idType n_id
    in

    -- create some new local id's
    newSysLocalsDs [b_ty,x_ty]			`thenDs` \ [b,x] ->

    -- build rest of the comprehesion
    dfListComp c_id b quals body		`thenDs` \ core_rest ->

    -- build the pattern match
    matchSimply (Var x) (StmtCtxt ListComp)
		pat core_rest (Var b)		`thenDs` \ core_expr ->

    -- now build the outermost foldr, and return
    dsLookupGlobalId foldrName		`thenDs` \ foldr_id ->
    returnDs (
      Var foldr_id `App` Type x_ty 
		   `App` Type b_ty
		   `App` mkLams [x, b] core_expr
		   `App` Var n_id
		   `App` core_list1
    )
\end{code}

%************************************************************************
%*									*
\subsection[DsPArrComp]{Desugaring of array comprehensions}
%*									*
%************************************************************************

\begin{code}

-- entry point for desugaring a parallel array comprehension
--
--   [:e | qss:] = <<[:e | qss:]>> () [:():]
--
dsPArrComp      :: [Stmt Id] 
		-> LHsExpr Id
	        -> Type		    -- Don't use; called with `undefined' below
	        -> DsM CoreExpr
dsPArrComp qs body _  =
  dsLookupGlobalId replicatePName			  `thenDs` \repP ->
  let unitArray = mkApps (Var repP) [Type unitTy, 
				     mkIntExpr 1, 
				     mkCoreTup []]
  in
  dePArrComp qs body (mkTuplePat []) unitArray

-- the work horse
--
dePArrComp :: [Stmt Id] 
	   -> LHsExpr Id
	   -> LPat Id		-- the current generator pattern
	   -> CoreExpr		-- the current generator expression
	   -> DsM CoreExpr
--
--  <<[:e' | :]>> pa ea = mapP (\pa -> e') ea
--
dePArrComp [] e' pa cea =
  dsLookupGlobalId mapPName				  `thenDs` \mapP    ->
  let ty = parrElemType cea
  in
  deLambda ty pa e'					  `thenDs` \(clam, 
								     ty'e') ->
  returnDs $ mkApps (Var mapP) [Type ty, Type ty'e', clam, cea]
--
--  <<[:e' | b, qs:]>> pa ea = <<[:e' | qs:]>> pa (filterP (\pa -> b) ea)
--
dePArrComp (ExprStmt b _ _ : qs) body pa cea =
  dsLookupGlobalId filterPName			  `thenDs` \filterP  ->
  let ty = parrElemType cea
  in
  deLambda ty pa b				  `thenDs` \(clam,_) ->
  dePArrComp qs body pa (mkApps (Var filterP) [Type ty, clam, cea])
--
--  <<[:e' | p <- e, qs:]>> pa ea = 
--    let ef = filterP (\x -> case x of {p -> True; _ -> False}) e
--    in
--    <<[:e' | qs:]>> (pa, p) (crossP ea ef)
--
dePArrComp (BindStmt p e _ _ : qs) body pa cea =
  dsLookupGlobalId filterPName			  `thenDs` \filterP ->
  dsLookupGlobalId crossPName			  `thenDs` \crossP  ->
  dsLExpr e					  `thenDs` \ce      ->
  let ty'cea = parrElemType cea
      ty'ce  = parrElemType ce
      false  = Var falseDataConId
      true   = Var trueDataConId
  in
  newSysLocalDs ty'ce					  `thenDs` \v       ->
  matchSimply (Var v) (StmtCtxt PArrComp) p true false    `thenDs` \pred    ->
  let cef    = mkApps (Var filterP) [Type ty'ce, mkLams [v] pred, ce]
      ty'cef = ty'ce				-- filterP preserves the type
      pa'    = mkTuplePat [pa, p]
  in
  dePArrComp qs body pa' (mkApps (Var crossP) [Type ty'cea, Type ty'cef, cea, cef])
--
--  <<[:e' | let ds, qs:]>> pa ea = 
--    <<[:e' | qs:]>> (pa, (x_1, ..., x_n)) 
--		      (mapP (\v@pa -> (v, let ds in (x_1, ..., x_n))) ea)
--  where
--    {x_1, ..., x_n} = DV (ds)		-- Defined Variables
--
dePArrComp (LetStmt ds : qs) body pa cea =
  dsLookupGlobalId mapPName				  `thenDs` \mapP    ->
  let xs     = map unLoc (collectLocalBinders ds)
      ty'cea = parrElemType cea
  in
  newSysLocalDs ty'cea					  `thenDs` \v       ->
  dsLocalBinds ds (mkCoreTup (map Var xs))		  `thenDs` \clet    ->
  newSysLocalDs (exprType clet)				  `thenDs` \let'v   ->
  let projBody = mkDsLet (NonRec let'v clet) $ 
		 mkCoreTup [Var v, Var let'v]
      errTy    = exprType projBody
      errMsg   = "DsListComp.dePArrComp: internal error!"
  in
  mkErrorAppDs pAT_ERROR_ID errTy errMsg                  `thenDs` \cerr    ->
  matchSimply (Var v) (StmtCtxt PArrComp) pa projBody cerr`thenDs` \ccase   ->
  let pa'    = mkTuplePat [pa, mkTuplePat (map nlVarPat xs)]
      proj   = mkLams [v] ccase
  in
  dePArrComp qs body pa' (mkApps (Var mapP) [Type ty'cea, proj, cea])
--
--  <<[:e' | qs | qss:]>> pa ea = 
--    <<[:e' | qss:]>> (pa, (x_1, ..., x_n)) 
--		       (zipP ea <<[:(x_1, ..., x_n) | qs:]>>)
--    where
--      {x_1, ..., x_n} = DV (qs)
--
dePArrComp (ParStmt qss : qs) body pa cea = 
  dsLookupGlobalId crossPName				`thenDs` \crossP  ->
  deParStmt qss						`thenDs` \(pQss, 
								   ceQss) ->
  let ty'cea   = parrElemType cea
      ty'ceQss = parrElemType ceQss
      pa'      = mkTuplePat [pa, pQss]
  in
  dePArrComp qs body pa' (mkApps (Var crossP) [Type ty'cea, Type ty'ceQss, 
					       cea, ceQss])
  where
    deParStmt []             =
      -- empty parallel statement lists have not source representation
      panic "DsListComp.dePArrComp: Empty parallel list comprehension"
    deParStmt ((qs, xs):qss) =          -- first statement
      let res_expr = mkExplicitTuple (map nlHsVar xs)
      in
      dsPArrComp (map unLoc qs) res_expr undefined	  `thenDs` \cqs     ->
      parStmts qss (mkTuplePat (map nlVarPat xs)) cqs
    ---
    parStmts []             pa cea = return (pa, cea)
    parStmts ((qs, xs):qss) pa cea =    -- subsequent statements (zip'ed)
      dsLookupGlobalId zipPName				  `thenDs` \zipP    ->
      let pa'      = mkTuplePat [pa, mkTuplePat (map nlVarPat xs)]
	  ty'cea   = parrElemType cea
	  res_expr = mkExplicitTuple (map nlHsVar xs)
      in
      dsPArrComp (map unLoc qs) res_expr undefined	  `thenDs` \cqs     ->
      let ty'cqs = parrElemType cqs
	  cea'   = mkApps (Var zipP) [Type ty'cea, Type ty'cqs, cea, cqs]
      in
      parStmts qss pa' cea'

-- generate Core corresponding to `\p -> e'
--
deLambda        :: Type			-- type of the argument
		-> LPat Id		-- argument pattern
		-> LHsExpr Id		-- body
		-> DsM (CoreExpr, Type)
deLambda ty p e  =
  newSysLocalDs ty					  `thenDs` \v       ->
  dsLExpr e						  `thenDs` \ce      ->
  let errTy    = exprType ce
      errMsg   = "DsListComp.deLambda: internal error!"
  in
  mkErrorAppDs pAT_ERROR_ID errTy errMsg                  `thenDs` \cerr    -> 
  matchSimply (Var v) (StmtCtxt PArrComp) p ce cerr	  `thenDs` \res	    ->
  returnDs (mkLams [v] res, errTy)

-- obtain the element type of the parallel array produced by the given Core
-- expression
--
parrElemType   :: CoreExpr -> Type
parrElemType e  = 
  case splitTyConApp_maybe (exprType e) of
    Just (tycon, [ty]) | tycon == parrTyCon -> ty
    _							  -> panic
      "DsListComp.parrElemType: not a parallel array type"

-- Smart constructor for source tuple patterns
--
mkTuplePat :: [LPat Id] -> LPat Id
mkTuplePat [lpat] = lpat
mkTuplePat lpats  = noLoc $ mkVanillaTuplePat lpats Boxed

-- Smart constructor for source tuple expressions
--
mkExplicitTuple :: [LHsExpr id] -> LHsExpr id
mkExplicitTuple [lexp] = lexp
mkExplicitTuple lexps  = noLoc $ ExplicitTuple lexps Boxed
\end{code}