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forked from GitHub/gf-core

"Committed_by_peb"

This commit is contained in:
peb
2005-04-19 09:46:07 +00:00
parent 559ee22bce
commit d9c2c1e994
6 changed files with 566 additions and 45 deletions

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@@ -4,9 +4,9 @@
-- Stability : (stable)
-- Portability : (portable)
--
-- > CVS $Date: 2005/04/18 14:55:33 $
-- > CVS $Date: 2005/04/19 10:46:07 $
-- > CVS $Author: peb $
-- > CVS $Revision: 1.3 $
-- > CVS $Revision: 1.4 $
--
-- The main parsing module, parsing GFC grammars
-- by translating to simpler formats, such as PMCFG and CFG
@@ -34,21 +34,25 @@ import GF.Data.SortedList
import GF.Data.Assoc
import GF.Formalism.Utilities
import GF.Conversion.Types
import GF.Formalism.GCFG
import GF.Formalism.SimpleGFC
import qualified GF.Formalism.MCFG as M
import qualified GF.Formalism.CFG as C
-- import qualified GF.NewParsing.MCFG as PM
import qualified GF.NewParsing.MCFG as PM
import qualified GF.NewParsing.CFG as PC
--import qualified GF.Conversion.FromGFC as From
----------------------------------------------------------------------
-- parsing information
data PInfo = PInfo { mcfPInfo :: (), -- ^ not implemented yet
cfPInfo :: PC.CFPInfo CCat Name Token }
data PInfo = PInfo { mcfPInfo :: MCFPInfo,
cfPInfo :: CFPInfo }
type MCFPInfo = MGrammar
type CFPInfo = PC.CFPInfo CCat Name Token
buildPInfo :: MGrammar -> CGrammar -> PInfo
buildPInfo mcfg cfg = PInfo { mcfPInfo = (),
buildPInfo mcfg cfg = PInfo { mcfPInfo = mcfg,
cfPInfo = PC.buildCFPInfo cfg }
@@ -65,20 +69,30 @@ parse :: String -- ^ parsing strategy
-- parsing via CFG
parse (c:strategy) pinfo abs startCat
| c=='c' || c=='C' = map (tree2term abs) .
parseCFG strategy pinfo startCats .
parseCFG strategy cfpi startCats .
map prCFTok
where startCats = tracePrt "Parsing.GFC - starting categories" prt $
filter isStartCat $ map fst $ aAssocs $ PC.topdownRules $ cfPInfo pinfo
filter isStartCat $ map fst $ aAssocs $ PC.topdownRules cfpi
isStartCat (CCat (ECat cat _) _) = cat == cfCat2Ident startCat
cfpi = cfPInfo pinfo
-- parsing via MCFG
parse (c:strategy) pinfo abs startCat
| c=='m' || c=='M' = map (tree2term abs) .
parseMCFG strategy mcfpi startCats .
map prCFTok
where startCats = tracePrt "Parsing.GFC - starting categories" prt $
filter isStartCat $ nubsort [ c | Rule (Abs c _ _) _ <- mcfpi ]
isStartCat (MCat (ECat cat _) _) = cat == cfCat2Ident startCat
mcfpi = mcfPInfo pinfo
-- default parser
parse strategy pinfo abs start = parse ('c':strategy) pinfo abs start
----------------------------------------------------------------------
parseCFG :: String -> PInfo -> [CCat] -> [Token] -> [SyntaxTree Fun]
parseCFG strategy pInfo startCats inString = trace2 "Parsing.GFC - selected algorithm" "CFG" $
parseCFG :: String -> CFPInfo -> [CCat] -> [Token] -> [SyntaxTree Fun]
parseCFG strategy pinfo startCats inString = trace2 "Parsing.GFC - selected algorithm" "CFG" $
trees
where trees = tracePrt "Parsing.GFC - nr. trees" (prt . length) $
nubsort $ forests >>= forest2trees
@@ -101,44 +115,31 @@ parseCFG strategy pInfo startCats inString = trace2 "Parsing.GFC - selected algo
cfChart = --tracePrt "finalEdges"
--(prt . filter (\(Edge i j _) -> (i,j)==inputBounds inTokens)) $
tracePrt "Parsing.GFC - size of context-free chart" (prt . length) $
PC.parseCF strategy (cfPInfo pInfo) startCats inTokens
PC.parseCF strategy pinfo startCats inTokens
inTokens = input inString
----------------------------------------------------------------------
{-
-- parsing via MCFG
newParser (m:strategy) gr (_, startCat) inString
| m=='m' || m=='M' = trace2 "Parser" "MCFG" $ Ok terms
where terms = map (tree2term abstract) trees
trees = --tracePrt "trees" (prtBefore "\n") $
tracePrt "#trees" (prt . length) $
concatMap forest2trees forests
forests = --tracePrt "forests" (prtBefore "\n") $
tracePrt "#forests" (prt . length) $
concatMap (chart2forests chart isMeta) finalEdges
isMeta = null . snd
finalEdges = tracePrt "finalEdges" (prtBefore "\n") $
filter isFinalEdge $ aElems chart
-- nubsort [ (cat, [(lbl, E.makeRange [(i,j)])]) |
-- let (i, j) = inputBounds inTokens,
-- E.Rule cat _ [E.Lin lbl _] _ <- pInf,
-- isStartCat cat ]
isFinalEdge (cat, rows)
= isStartCat cat &&
inputBounds inTokens `elem` concat [ rho | (_, M.Rng rho) <- rows ]
chart = --tracePrt "chart" (prtBefore "\n" . aAssocs) $
tracePrt "#chart" (prt . map (length.snd) . aAssocs) $
PM.parse strategy pInf starters inTokens
inTokens = input $ map AbsGFC.KS $ words inString
pInf = -- tracePrt "avg rec" (\gr -> show (sum [ length rec | E.Rule _ _ rec _ <- gr ] % length gr)) $
mcfPInfo $ SS.statePInfo gr
starters = tracePrt "startCats" prt $
filter isStartCat $ nubsort [ cat | M.Rule cat _ _ _ <- pInf ]
isStartCat (MCFCat cat _) = cat == startCat
abstract = tracePrt "abstract module" PrGrammar.prt $
SS.absId gr
-}
parseMCFG :: String -> MCFPInfo -> [MCat] -> [Token] -> [SyntaxTree Fun]
parseMCFG strategy pinfo startCats inString = trace2 "Parsing.GFC - selected algorithm" "MCFG" $
trees
where trees = tracePrt "Parsing.GFC - nr. trees" (prt . length) $
forests >>= forest2trees
forests = tracePrt "Parsing.GFC - nr. forests" (prt . length) $
cfForests >>= convertFromCFForest
cfForests= tracePrt "Parsing.GFC - nr. context-free forests" (prt . length) $
chart2forests chart (const False) finalEdges
chart = tracePrt "Parsing.GFC - size of chart" (prt . map (length.snd) . aAssocs) $
PM.parseMCF strategy pinfo inString -- inTokens
finalEdges = tracePrt "Parsing.GFC - final chart edges" prt $
[ PM.makeFinalEdge cat lbl (inputBounds inTokens) |
cat@(MCat _ [lbl]) <- startCats ]
inTokens = input inString
----------------------------------------------------------------------

35
src/GF/Parsing/MCFG.hs Normal file
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@@ -0,0 +1,35 @@
----------------------------------------------------------------------
-- |
-- Maintainer : PL
-- Stability : (stable)
-- Portability : (portable)
--
-- > CVS $Date: 2005/04/19 10:46:07 $
-- > CVS $Author: peb $
-- > CVS $Revision: 1.1 $
--
-- MCFG parsing
-----------------------------------------------------------------------------
module GF.NewParsing.MCFG where
import GF.Formalism.Utilities
import GF.Formalism.GCFG
import GF.Formalism.MCFG
import qualified GF.NewParsing.MCFG.Naive as Naive
import qualified GF.NewParsing.MCFG.Range as Range (makeRange)
----------------------------------------------------------------------
-- parsing
--parseMCF :: (Ord n, Ord c, Ord t) => String -> CFParser c n t
parseMCF "n" = Naive.parse
-- default parser:
parseMCF _ = parseMCF "n"
makeFinalEdge cat lbl bnds = (cat, [(lbl, Range.makeRange bnds)])

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@@ -0,0 +1,174 @@
{-- Module --------------------------------------------------------------------
Filename: ActiveParse.hs
Author: Håkan Burden
Time-stamp: <2005-04-18, 14:25>
Description: An agenda-driven implementation of algorithm 4.6, Active parsing
of PMCFG, as described in Ljunglöf (2004)
------------------------------------------------------------------------------}
module ActiveParse where
-- GF modules
import Examples
import GeneralChart
import MCFGrammar
import MCFParser
import Nondet
import Parser
import Range
{-- Datatypes -----------------------------------------------------------------
AChart: A RedBlackMap with Items and Keys
Item :
AKey :
------------------------------------------------------------------------------}
data Item n c l = Active (AbstractRule n c)
(RangeRec l)
Range
(Lin c l Range)
(LinRec c l Range)
[RangeRec l]
| Passive (AbstractRule n c) (RangeRec l) [RangeRec l]
deriving (Eq, Ord, Show)
type AChart n c l = ParseChart (Item n c l) (AKey c)
data AKey c = Act c
| Pass c
| Useless
deriving (Eq, Ord, Show)
keyof :: Item n c l -> AKey c
keyof (Active _ _ _ (Lin _ (Cat (next, _, _):_)) _ _) = Act next
keyof (Passive (_, cat, _) _ _) = Pass cat
keyof _ = Useless
{-- Parsing -------------------------------------------------------------------
recognize:
parse : Builds a chart from the initial agenda, given by prediction, and
the inference rules
keyof : Given an Item returns an appropriate Key for the Chart
------------------------------------------------------------------------------}
recognize strategy mcfg toks = chartMember
(parse strategy mcfg toks) item (keyof item)
where n = length toks
n2 = n `div` 2
item = (Passive ("f", S, [A])
[("s",Range (0,n))]
[[("p",Range (0,n2)),("q",Range (n2,n))]])
parse :: (Ord n, Ord c, Ord l, Eq t) => Strategy -> Grammar n c l t -> [t]
-> ParseChart (Item n c l) (AKey c)
parse (False,False) mcfg toks = buildChart keyof
[complete, scan, combine, convert]
(predict mcfg toks)
parse (True, False) mcfg toks = buildChart keyof
[predictKilbury mcfg toks, complete, combine, convert]
(terminal mcfg toks)
parse (False, True) mcfg toks = buildChart keyof
[predictEarley mcfg toks, complete, scan, combine, convert]
(initial (take 1 mcfg) toks)
predictKilbury mcfg toks _ (Passive (_, cat, _) found _) =
[ Active (f, a, rhs) [] rng lin' lins' daughters |
Rule a rhs ((Lin l ((Cat (cat', r, i)):syms)):lins) f <- mcfg,
cat == cat',
lin' : lins' <- solutions $ rangeRestRec toks (Lin l syms : lins),
-- lins' <- solutions $ rangeRestRec toks lins,
rng <- solutions $ projection r found,
let daughters = (replaceRec (replicate (length rhs) []) i found) ]
predictKilbury _ _ _ _ = []
predictEarley mcfg toks _ item@(Active _ _ _ (Lin _ ((Cat (cat, _, _)):_)) _ _) =
concat [ predEar toks item rule |
rule@(Rule cat' _ _ _) <- mcfg, cat == cat' ]
predictEarley _ _ _ _ = []
predEar toks _ (Rule cat [] lins f) =
[ Passive (f, cat, []) (makeRangeRec lins') [] |
lins' <- solutions $ rangeRestRec toks lins ]
predEar toks (Active _ _ (Range (_,j)) _ _ _) (Rule cat rhs lins f) =
[ Active (f, cat, rhs) [] (Range (j, j)) lin' lins' (replicate (length rhs) []) |
(lin':lins') <- solutions $ rangeRestRec toks lins ]
predEar toks (Active _ _ EmptyRange _ _ _) (Rule cat rhs lins f) =
[ Active (f, cat, rhs) [] EmptyRange lin' lins' (replicate (length rhs) []) |
(lin':lins') <- solutions $ rangeRestRec toks lins ]
{--Inference rules ------------------------------------------------------------
predict : Creates an Active Item of every Rule in the Grammar to give the
initial Agenda
complete:
scan :
combine : Creates an Active Item every time it is possible to combine
an Active Item from the agenda with a Passive Item from the Chart
convert : Active Items with nothing to find are converted to Passive Items
------------------------------------------------------------------------------}
predict :: Eq t => Grammar n c l t -> [t] -> [Item n c l]
predict grammar toks = [ Active (f, cat, rhs) [] EmptyRange lin' lins'
(replicate (length rhs) []) |
Rule cat rhs lins f <- grammar,
(lin':lins') <- solutions $ rangeRestRec toks lins ]
complete :: (Ord n, Ord c, Ord l) => ParseChart (Item n c l) (AKey c) -> Item n c l
-> [Item n c l]
complete _ (Active rule found (Range (i, j)) (Lin l []) (lin:lins) recs) =
[ Active rule (found ++ [(l, Range (i,j))]) EmptyRange lin lins recs ]
complete _ _ = []
scan :: (Ord n, Ord c, Ord l) => ParseChart (Item n c l) (AKey c) -> Item n c l
-> [Item n c l]
scan _ (Active rule found rng (Lin l ((Tok rng'):syms)) lins recs) =
[ Active rule found rng'' (Lin l syms) lins recs |
rng'' <- solutions $ concRanges rng rng' ]
scan _ _ = []
combine :: (Ord n, Ord c, Ord l) => ParseChart (Item n c l) (AKey c) -> Item n c l
-> [Item n c l]
combine chart (Active rule found rng (Lin l ((Cat (c, r, d)):syms)) lins recs) =
[ Active rule found rng'' (Lin l syms) lins (replaceRec recs d found') |
Passive _ found' _ <- chartLookup chart (Pass c),
rng' <- solutions $ projection r found',
rng'' <- solutions $ concRanges rng rng',
subsumes (recs !! d) found' ]
combine chart (Passive (_, c, _) found _) =
[ Active rule found' rng (Lin l syms) lins (replaceRec recs' d found) |
Active rule found' rng' (Lin l ((Cat (c, r, d)):syms)) lins recs'
<- chartLookup chart (Act c),
rng'' <- solutions $ projection r found,
rng <- solutions $ concRanges rng' rng'',
subsumes (recs' !! d) found ]
combine _ _ = []
convert :: (Ord n, Ord c, Ord l) => ParseChart (Item n c l) (AKey c) -> Item n c l
-> [Item n c l]
convert _ (Active rule found rng (Lin l []) [] recs) =
[ Passive rule (found ++ [(l, rng)]) recs ]
convert _ _ = []
-- Earley --
-- anropas med alla startregler
initial :: Eq t => [Rule n c l t] -> [t] -> [Item n c l]
initial starts toks =
[ Active (f, s, rhs) [] (Range (0, 0)) lin' lins' (replicate (length rhs) []) |
Rule s rhs lins f <- starts,
(lin':lins') <- solutions $ rangeRestRec toks lins ]
-- Kilbury --
terminal mcfg toks =
[ Passive (f, cat, []) (makeRangeRec lins') [] |
Rule cat [] lins f <- mcfg,
lins' <- solutions $ rangeRestRec toks lins ]

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@@ -0,0 +1,95 @@
module GF.NewParsing.MCFG.Naive where
-- GF modules
import GF.NewParsing.GeneralChart
import GF.Formalism.GCFG
import GF.Formalism.MCFG
import GF.Formalism.Utilities
import GF.NewParsing.MCFG.Range
import GF.Data.SortedList
import GF.Data.Assoc
{-- Datatypes and types -------------------------------------------------------
NChart : A RedBlackMap with Items and Keys
Item : The parse Items are either Active or Passive
NKey : One for Active Items, one for Passive and one for Active Items
to convert to Passive
DottedRule: (function-name, LHS, [Found in RHS], [To find in RHS])
------------------------------------------------------------------------------}
type NChart c n l = ParseChart (Item c n l) (NKey c)
data Item c n l = Active (DottedRule c n) (LinRec c l Range) [RangeRec l]
| Passive (Abstract c n) (RangeRec l)
deriving (Eq, Ord, Show)
type DottedRule c n = (Abstract c n, [c])
data NKey c = Act c
| Pass c
| Final
deriving (Eq, Ord, Show)
{-- Parsing -------------------------------------------------------------------
recognize:
parse : Builds a chart from the initial agenda, given by prediction, and
the inference rules
keyof : Given an Item returns an appropriate Key for the Chart
------------------------------------------------------------------------------}
parse :: (Ord t, Ord n, Ord c, Ord l) => MCFGrammar c n l t -> [t]
-> SyntaxChart n (c, RangeRec l)
parse mcfg toks = chart3
where chart3 = assocMap (const groupPairs) chart2
chart2 = accumAssoc id $ nubsort chart1
chart1 = [ ((cat, rrec), (fun, zip rhs rrecs)) |
Active (Abs cat _Nil fun, rhs) lins rrecs <- chartLookup chart0 Final,
let rrec = makeRangeRec lins ]
chart0 = process mcfg toks
process :: (Ord t, Ord n, Ord c, Ord l) => MCFGrammar c n l t -> [t] -> NChart c n l
process mcfg toks = buildChart keyof [convert, combine] (predict toks mcfg)
keyof :: Item c n l -> NKey c
keyof (Active (Abs _ (next:_) _, _) _ _) = Act next
keyof (Passive (Abs cat _ _) _) = Pass cat
keyof _ = Final
{--Inference rules ------------------------------------------------------------
predict: Creates an Active Item of every Rule in the Grammar to give the
initial Agenda
combine: Creates an Active Item every time it is possible to combine
an Active Item from the agenda with a Passive Item from the Chart
convert: Active Items with nothing to find are converted to Passive Items
------------------------------------------------------------------------------}
predict :: (Eq t, Eq c) => [t] -> MCFGrammar c n l t -> [Item c n l]
predict toks mcfg = [ Active (abs, []) lins' [] |
Rule abs (Cnc _ _ lins) <- mcfg,
lins' <- rangeRestRec toks lins ]
combine :: (Ord n, Ord c, Ord l) => NChart c n l -> Item c n l -> [Item c n l]
combine chart (Active (Abs nt (c:find) f, found) lins rrecs) =
do Passive _ rrec <- chartLookup chart (Pass c)
lins' <- concLinRec $ substArgRec (length found) rrec lins
return $ Active (Abs nt find f, found ++ [c]) lins' (rrecs ++ [rrec])
combine chart (Passive (Abs c _ _) rrec) =
do Active (Abs nt (c:find) f, found) lins rrecs <- chartLookup chart (Act c)
lins' <- concLinRec $ substArgRec (length found) rrec lins
return $ Active (Abs nt find f, found ++ [c]) lins' (rrecs ++ [rrec])
combine _ _ = []
convert :: (Ord n, Ord c, Ord l) => NChart c n l -> Item c n l -> [Item c n l]
convert _ (Active (Abs nt [] f, rhs) lins _) = [Passive (Abs nt rhs f) rrec]
where rrec = makeRangeRec lins
convert _ _ = []

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@@ -0,0 +1,41 @@
---------------------------------------------------------------------
-- |
-- Maintainer : PL
-- Stability : (stable)
-- Portability : (portable)
--
-- > CVS $Date: 2005/04/19 10:46:08 $
-- > CVS $Author: peb $
-- > CVS $Revision: 1.1 $
--
-- MCFG parsing, parser information
-----------------------------------------------------------------------------
module GF.NewParsing.MCFG.PInfo
(MCFParser, MCFPInfo(..), buildMCFPInfo) where
import GF.System.Tracing
import GF.Infra.Print
import GF.Formalism.Utilities
import GF.Formalism.GCFG
import GF.Formalism.MCFG
import GF.Data.SortedList
import GF.Data.Assoc
----------------------------------------------------------------------
-- type declarations
-- | the list of categories = possible starting categories
type MCFParser c n l t = MCFPInfo c n l t
-> [c]
-> Input t
-> MCFChart c n l
type MCFChart c n l = [(n, (c, RangeRec l), [(c, RangeRec l)])]
type MCFPInfo c n l t = MCFGrammar c n l t
buildCFPInfo :: (Ord n, Ord c, Ord l, Ord t) => MCFGrammar c n l t -> MCFPInfo c n l t
buildCFPInfo = id

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@@ -0,0 +1,175 @@
module GF.NewParsing.MCFG.Range where
-- Haskell
import List
import Monad
-- GF modules
import GF.Formalism.GCFG
import GF.Formalism.MCFG
import GF.Formalism.Utilities
import GF.Infra.Print
------------------------------------------------------------
-- ranges as single pairs
data Range = Range (Int, Int)
| EmptyRange
deriving (Eq, Ord, Show)
makeRange :: (Int, Int) -> Range
concatRange :: Range -> Range -> [Range]
rangeEdge :: a -> Range -> Edge a
minRange :: Range -> Int
maxRange :: Range -> Int
makeRange = Range
concatRange EmptyRange rng = return rng
concatRange rng EmptyRange = return rng
concatRange (Range(i,j)) (Range(j',k)) = [ Range(i,k) | j==j']
rangeEdge a (Range(i,j)) = Edge i j a
minRange (Range rho) = fst rho
maxRange (Range rho) = snd rho
instance Print Range where
prt (Range (i,j)) = "(" ++ show i ++ "-" ++ show j ++ ")"
prt (EmptyRange) = "(?)"
{-- Types --------------------------------------------------------------------
Linearization- and Range records implemented as lists
-----------------------------------------------------------------------------}
type LinRec c l t = [Lin c l t]
type RangeRec l = [(l, Range)]
{-- Functions ----------------------------------------------------------------
Concatenation : Concatenation of Ranges, Symbols and Linearizations
and records of Linearizations
Record transformation : Makes a Range record from a fully instantiated
Linearization record
Record projection : Given a label, returns the corresponding Range
Range restriction : Range restriction of Tokens, Symbols,
Linearizations and Records given a list of Tokens
Record replacment : Substitute a record for another in a list of Range
records
Argument substitution : Substitution of a Cat c to a Tok Range, where
Range is the cover of c
Note: The argument is still a Symbol c Range
Subsumation : Checks if a Range record subsumes another Range
record
Record unification : Unification of two Range records
-----------------------------------------------------------------------------}
--- Concatenation ------------------------------------------------------------
concSymbols :: [Symbol c Range] -> [[Symbol c Range]]
concSymbols (Tok rng:Tok rng':toks) = do rng'' <- concatRange rng rng'
concSymbols (Tok rng'':toks)
concSymbols (sym:syms) = do syms' <- concSymbols syms
return (sym:syms')
concSymbols [] = return []
concLin :: Lin c l Range -> [Lin c l Range]
concLin (Lin lbl syms) = do syms' <- concSymbols syms
return (Lin lbl syms')
concLinRec :: LinRec c l Range -> [LinRec c l Range]
concLinRec = mapM concLin
--- Record transformation ----------------------------------------------------
makeRangeRec :: LinRec c l Range -> RangeRec l
makeRangeRec lins = map convLin lins
where convLin (Lin lbl [Tok rng]) = (lbl, rng)
--- Record projection --------------------------------------------------------
projection :: Eq l => l -> RangeRec l -> [Range]
projection l rec = maybe (fail "projection") return $ lookup l rec
--- Range restriction --------------------------------------------------------
rangeRestTok :: Eq t => [t] -> t -> [Range]
rangeRestTok toks tok = do i <- elemIndices tok toks
return (makeRange (i, i+1))
rangeRestSym :: Eq t => [t] -> Symbol a t -> [Symbol a Range]
rangeRestSym toks (Tok tok) = do rng <- rangeRestTok toks tok
return (Tok rng)
rangeRestSym _ (Cat c) = return (Cat c)
rangeRestLin :: Eq t => [t] -> Lin c l t -> [Lin c l Range]
rangeRestLin toks (Lin lbl syms) = do syms' <- mapM (rangeRestSym toks) syms
return (Lin lbl syms')
rangeRestRec :: Eq t => [t] -> LinRec c l t -> [LinRec c l Range]
rangeRestRec toks = mapM (rangeRestLin toks)
-- Record replacment ---------------------------------------------------------
-- ineffektiv!!
replaceRec :: [RangeRec l] -> Int -> RangeRec l -> [RangeRec l]
replaceRec recs i rec = (fst tup) ++ [rec] ++ (tail $ snd tup)
where tup = splitAt i recs
--- Argument substitution ----------------------------------------------------
substArgSymbol :: Eq l => Int -> RangeRec l -> Symbol (c, l, Int) Range
-> Symbol (c, l, Int) Range
substArgSymbol i rec (Tok rng) = (Tok rng)
substArgSymbol i rec (Cat (c, l, j))
| i==j = maybe (Cat (c, l, j)) Tok $ lookup l rec
| otherwise = (Cat (c, l, j))
substArgLin :: Eq l => Int -> RangeRec l -> Lin c l Range
-> Lin c l Range
substArgLin i rec (Lin lbl syms) =
(Lin lbl (map (substArgSymbol i rec) syms))
substArgRec :: Eq l => Int -> RangeRec l -> LinRec c l Range
-> LinRec c l Range
substArgRec i rec lins = map (substArgLin i rec) lins
--- Subsumation -------------------------------------------------------------
-- "rec' subsumes rec?"
subsumes :: Eq l => RangeRec l -> RangeRec l -> Bool
subsumes rec rec' = and [elem r rec' | r <- rec]
--- Record unification -------------------------------------------------------
unifyRangeRecs :: Ord l => [RangeRec l] -> [RangeRec l] -> [[RangeRec l]]
unifyRangeRecs recs recs' = zipWithM unify recs recs'
where unify :: Ord l => RangeRec l -> RangeRec l -> [RangeRec l]
unify rec [] = return rec
unify [] rec = return rec
unify rec1'@(p1@(l1, r1):rec1) rec2'@(p2@(l2, r2):rec2)
= case compare l1 l2 of
LT -> do rec3 <- unify rec1 rec2'
return (p1:rec3)
GT -> do rec3 <- unify rec1' rec2
return (p2:rec3)
EQ -> do guard (r1 == r2)
rec3 <- unify rec1 rec2
return (p1:rec3)