{- |

Module : $Header$

Copyright : Christian Maeder and Uni Bremen 2002-2003

Licence : All rights reserved.

Maintainer : hets@tzi.de

Stability : experimental

Portability : portable

Mixfix analysis of terms

Missing features:

- the positions of ids from string, list, number and floating annotations

is not changed within applications (and might be misleading)

-}

module CASL.MixfixParser ( resolveFormula, resolveMixfix)

where

import CASL.AS_Basic_CASL

import Common.GlobalAnnotations

import Common.Result

import Common.Id

import qualified Common.Lib.Set as Set

import Common.Lexer

import Control.Monad

import Common.Lib.Parsec

import Common.Earley

import CASL.ShowMixfix

-- import Control.Exception (assert)

assert :: Bool -> a -> a

assert b a = if b then a else error ("assert")

type Rule = (Id, Bool, [Token]) -- True means predicate

mixRule :: Bool -> Id -> Rule

mixRule b ide = (ide, b, getTokenPlaceList ide)

mkRule :: Id -> Rule

mkRule = mixRule False

mkSingleArgRule :: Bool -> Id -> Rule

mkSingleArgRule b ide = (protect ide, b, getPlainTokenList ide ++ [varTok])

mkSingleOpArgRule :: Bool -> Id -> Rule

mkSingleOpArgRule b ide = (protect ide, b, getPlainTokenList ide ++ [exprTok])

mkArgsRule :: Bool -> Id -> Rule

mkArgsRule b ide = (protect ide, b, getPlainTokenList ide

++ getTokenPlaceList tupleId)

singleArgId, singleOpArgId, multiArgsId :: Id

singleArgId = mkRuleId (getPlainTokenList exprId ++ [varTok])

singleOpArgId = mkRuleId (getPlainTokenList exprId ++ [exprTok])

multiArgsId = mkRuleId (getPlainTokenList exprId ++

getPlainTokenList tupleId)

initRules :: GlobalAnnos -> IdSet -> Bool -> [Rule]

initRules ga (opS, predS, _) maybeFormula =

let ops = Set.toList opS

preds = if maybeFormula then

Set.toList predS else []

in concat [ mkRule typeId :

mkRule exprId :

mkRule varId :

mkRule singleArgId :

mkRule singleOpArgId :

mkRule multiArgsId :

listRules False ga,

map (mixRule True) preds,

map (mkSingleArgRule True) preds,

map (mkSingleOpArgRule True) preds,

map (mkArgsRule True) preds,

map mkRule ops,

map (mkSingleArgRule False) ops,

map (mkSingleOpArgRule False) ops,

map (mkArgsRule False) ops]

-- | meaningful position of a term

posOfTerm :: TERM -> Pos

posOfTerm trm =

case trm of

Mixfix_token t -> tokPos t

Mixfix_term ts -> posOfTerm (head ts)

Simple_id i -> tokPos i

Mixfix_qual_pred p ->

case p of

Pred_name i -> posOfId i

Qual_pred_name _ _ ps -> first (Just ps)

Application o [] [] ->

case o of

Op_name i -> posOfId i

Qual_op_name _ _ ps -> first (Just ps)

_ -> first $ get_pos_l trm

where first ps = case ps of

Nothing -> nullPos

Just l -> if null l then nullPos else head l

-- | construct application

asAppl :: Id -> [TERM] -> [Pos] -> TERM

asAppl f as ps = Application (Op_name f) as ps

-- | constructing the parse tree from (the final) parser state(s)

toAppl :: Id -> Bool -> [TERM] -> [Pos] -> TERM

toAppl ide _ ar qs =

if ide == singleArgId || ide == multiArgsId

then assert (length ar > 1) $

let har:tar = ar

ps = posOfTerm har : qs

in case har of

Application q ts _ -> assert (null ts) $

Application q tar ps

Mixfix_qual_pred _ -> Mixfix_term [har,

Mixfix_parenthesized tar ps]

_ -> error "stateToAppl"

else Application (Op_name ide) ar qs

type IdSet = (Set.Set Id, Set.Set Id, Set.Set Id)

addType :: TERM -> TERM -> TERM

addType tt t =

case tt of

Mixfix_sorted_term s ps -> Sorted_term t s ps

Mixfix_cast s ps -> Cast t s ps

_ -> error "addType"

filterByPredicate :: Bool -> Bool -> Maybe Bool

filterByPredicate bArg bOp =

if bArg then Just False else

if bOp then Just True else Nothing

type TermChart = Chart TERM Bool

iterateCharts :: GlobalAnnos -> IdSet -> Bool -> [TERM] -> TermChart

-> TermChart

iterateCharts g ids maybeFormula terms c =

let self = iterateCharts g ids maybeFormula

expand = expandPos Mixfix_token

oneStep = nextChart addType filterByPredicate toAppl Set.empty g c

resolveTerm = resolveMixTrm g ids False

in if null terms then c

else case head terms of

Mixfix_term ts -> self (ts ++ tail terms) c

Mixfix_bracketed ts ps ->

self (expand ("[", "]") ts ps ++ tail terms) c

Mixfix_braced ts ps ->

self (expand ("{", "}") ts ps ++ tail terms) c

Mixfix_parenthesized ts ps ->

if isSingle ts then

let Result mds v = resolveMixTrm g ids maybeFormula

$ head ts

tNew = case v of Nothing -> head ts

Just x -> x

c2 = self (tail terms) (oneStep (tNew, varTok))

in mixDiags mds c2

else self (expand ("(", ")") ts ps ++ tail terms) c

Conditional t1 f2 t3 ps ->

let Result mds v =

do t4 <- resolveTerm t1

f5 <- resolveMixFrm g ids f2

t6 <- resolveTerm t3

return (Conditional t4 f5 t6 ps)

tNew = case v of Nothing -> head terms

Just x -> x

c2 = self (tail terms)

(oneStep (tNew, varTok {tokPos = posOfTerm tNew}))

in mixDiags mds c2

Mixfix_token t -> let (ds1, trm) =

convertMixfixToken (literal_annos g) t

c2 = self (tail terms) $ oneStep $

case trm of

Mixfix_token tok -> (trm, tok)

_ -> (trm, varTok

{tokPos = tokPos t})

in mixDiags ds1 c2

t@(Mixfix_sorted_term _ (p:_)) -> self (tail terms)

(oneStep (t, typeTok {tokPos = p}))

t@(Mixfix_cast _ (p:_)) -> self (tail terms)

(oneStep (t, typeTok {tokPos = p}))

t@(Qual_var _ _ (p:_)) -> self (tail terms)

(oneStep (t, varTok {tokPos = p}))

t@(Application (Qual_op_name _ _ (p:_)) _ _) ->

self (tail terms) (oneStep (t, exprTok{tokPos = p} ))

t@(Mixfix_qual_pred (Qual_pred_name _ _ (p:_))) ->

self (tail terms) (oneStep (t, exprTok{tokPos = p} ))

t -> error ("iterate mixfix states: " ++ show t)

mkIdSet :: Set.Set Id -> Set.Set Id -> IdSet

mkIdSet ops preds =

let both = Set.intersection ops preds in

(ops, Set.difference preds both, preds)

resolveMixfix :: GlobalAnnos -> Set.Set Id -> Set.Set Id -> Bool -> TERM

-> Result TERM

resolveMixfix g ops preds maybeFormula t =

let r@(Result ds _) = resolveMixTrm g (mkIdSet ops preds) maybeFormula t

in if null ds then r else Result ds Nothing

resolveMixTrm :: GlobalAnnos -> IdSet -> Bool

-> TERM -> Result TERM

resolveMixTrm ga ids maybeFormula trm =

getResolved showTerm (posOfTerm trm) toAppl

$ iterateCharts ga ids maybeFormula [trm] $

initChart $ initRules ga ids maybeFormula

resolveFormula :: GlobalAnnos -> Set.Set Id -> Set.Set Id -> FORMULA

-> Result FORMULA

resolveFormula g ops preds f =

let r@(Result ds _) = resolveMixFrm g (mkIdSet ops preds) f

in if null ds then r else Result ds Nothing

resolveMixFrm :: GlobalAnnos -> IdSet-> FORMULA -> Result FORMULA

resolveMixFrm g ids@(ops, onlyPreds, preds) frm =

let self = resolveMixFrm g ids

resolveTerm = resolveMixTrm g ids False in

case frm of

Quantification q vs fOld ps ->

let varIds = Set.fromList $ concatMap (\ (Var_decl va _ _) ->

map simpleIdToId va) vs

newIds = (Set.union ops varIds,

(Set.\\) onlyPreds varIds, preds)

in

do fNew <- resolveMixFrm g newIds fOld

return $ Quantification q vs fNew ps

Conjunction fsOld ps ->

do fsNew <- mapM self fsOld

return $ Conjunction fsNew ps

Disjunction fsOld ps ->

do fsNew <- mapM self fsOld

return $ Disjunction fsNew ps

Implication f1 f2 ps ->

do f3 <- self f1

f4 <- self f2

return $ Implication f3 f4 ps

Equivalence f1 f2 ps ->

do f3 <- self f1

f4 <- self f2

return $ Equivalence f3 f4 ps

Negation fOld ps ->

do fNew <- self fOld

return $ Negation fNew ps

Predication sym tsOld ps ->

do tsNew <- mapM resolveTerm tsOld

return $ Predication sym tsNew ps

Definedness tOld ps ->

do tNew <- resolveTerm tOld

return $ Definedness tNew ps

Existl_equation t1 t2 ps ->

do t3 <- resolveTerm t1

t4 <- resolveTerm t2

return $ Existl_equation t3 t4 ps

Strong_equation t1 t2 ps ->

do t3 <- resolveTerm t1

t4 <- resolveTerm t2

return $ Strong_equation t3 t4 ps

Membership tOld s ps ->

do tNew <- resolveTerm tOld

return $ Membership tNew s ps

Mixfix_formula tOld ->

do tNew <- resolveMixTrm g ids True tOld

mkPredication tNew

where mkPredication t =

case t of

Application (Op_name ide) as ps ->

let p = Predication (Pred_name ide) as ps in

if ide `Set.member` preds

then return p else

plain_error p

("not a predicate: " ++ showId ide "")

(posOfId ide)

Mixfix_qual_pred qide ->

return $ Predication qide [] []

Mixfix_term [Mixfix_qual_pred qide,

Mixfix_parenthesized ts ps] ->

return $ Predication qide ts ps

_ -> plain_error (Mixfix_formula t)

("not a formula: " ++ showTerm t "")

(posOfTerm t)

f -> return f

-- ---------------------------------------------------------------

-- convert literals

-- ---------------------------------------------------------------

makeStringTerm :: Id -> Id -> Token -> TERM

makeStringTerm c f tok =

makeStrTerm (incSourceColumn sp 1) str

where

sp = tokPos tok

str = init (tail (tokStr tok))

makeStrTerm p l =

if null l then asAppl c [] [p]

else let (hd, tl) = splitString caslChar l

in asAppl f [asAppl (Id [Token ("'" ++ hd ++ "'") p] [] []) [] [p],

makeStrTerm (incSourceColumn p $ length hd) tl] [p]

makeNumberTerm :: Id -> Token -> TERM

makeNumberTerm f t@(Token n p) =

case n of

[] -> error "makeNumberTerm"

[_] -> asAppl (Id [t] [] []) [] [p]

hd:tl -> asAppl f [asAppl (Id [Token [hd] p] [] []) [] [p],

makeNumberTerm f (Token tl

(incSourceColumn p 1))] [p]

makeFraction :: Id -> Id -> Token -> TERM

makeFraction f d t@(Token s p) =

let (n, r) = span (\c -> c /= '.') s

dotOffset = length n

in if null r then makeNumberTerm f t

else asAppl d [makeNumberTerm f (Token n p),

makeNumberTerm f (Token (tail r)

(incSourceColumn p $ dotOffset + 1))]

[incSourceColumn p dotOffset]

makeSignedNumber :: Id -> Token -> TERM

makeSignedNumber f t@(Token n p) =

case n of

[] -> error "makeSignedNumber"

hd:tl ->

if hd == '-' || hd == '+' then

asAppl (Id [Token [hd] p] [] [])

[makeNumberTerm f (Token tl $ incSourceColumn p 1)] [p]

else makeNumberTerm f t

makeFloatTerm :: Id -> Id -> Id -> Token -> TERM

makeFloatTerm f d e t@(Token s p) =

let (m, r) = span (\c -> c /= 'E') s

offset = length m

in if null r then makeFraction f d t

else asAppl e [makeFraction f d (Token m p),

makeSignedNumber f (Token (tail r)

$ incSourceColumn p (offset + 1))]

[incSourceColumn p offset]

-- analyse Mixfix_token

convertMixfixToken:: LiteralAnnos -> Token -> ([Diagnosis], TERM)

convertMixfixToken ga t =

if isString t then

case string_lit ga of

Nothing -> err "string"

Just (c, f) -> ([], makeStringTerm c f t)

else if isNumber t then

case number_lit ga of

Nothing -> err "number"

Just f -> if isFloating t then

case float_lit ga of

Nothing -> err "floating"

Just (d, e) -> ([], makeFloatTerm f d e t)

else ([], makeNumberTerm f t)

else ([], te)

where te = Mixfix_token t

err s = ([Diag Error ("missing %" ++ s ++ " annotation") (tokPos t)]

, te)