{- |

Module : $Header$

Description : static analysis of CASL specification libraries

Copyright : (c) Till Mossakowski, Uni Bremen 2002-2006

License : GPLv2 or higher, see LICENSE.txt

Maintainer : till@informatik.uni-bremen.de

Stability : provisional

Portability : non-portable(Logic)

Static analysis of CASL specification libraries

Follows the verification semantics sketched in Chap. IV:6

of the CASL Reference Manual.

-}

module Static.AnalysisLibrary

( anaLibFileOrGetEnv

, anaLibDefn

, anaSourceFile

, anaLibItem

, anaViewDefn

, LNS

) where

import Logic.Logic

import Logic.Grothendieck

import Syntax.AS_Structured

import Syntax.AS_Library

import Static.GTheory

import Static.DevGraph

import Static.DgUtils

import Static.ComputeTheory

import Static.AnalysisStructured

import Static.AnalysisArchitecture

import Static.ArchDiagram (emptyExtStUnitCtx)

import Common.AS_Annotation hiding (isAxiom, isDef)

import Common.DocUtils

import Common.GlobalAnnotations

import Common.ConvertGlobalAnnos

import Common.AnalyseAnnos

import Common.Result

import Common.ResultT

import Common.LibName

import Common.Id

import Common.IO

import qualified Common.Unlit as Unlit

import Driver.Options

import Driver.ReadFn

import Driver.WriteLibDefn

import Network.HTTP (simpleHTTP, getRequest, getResponseBody)

import Data.Graph.Inductive.Graph

import qualified Data.Map as Map

import qualified Data.Set as Set

import Data.List

import Control.Monad

import Control.Monad.Trans

import Data.Maybe

import System.Directory

import System.FilePath

import LF.Twelf2DG

import Framework.Analysis

-- a set of library names to check for cyclic imports

type LNS = Set.Set LibName

{- | parsing and static analysis for files

Parameters: logic graph, default logic, file name -}

anaSourceFile :: LogicGraph -> HetcatsOpts -> LNS -> LibEnv -> DGraph

-> FilePath -> ResultT IO (LibName, LibEnv)

anaSourceFile = anaSource Nothing

anaSource :: Maybe LibName -- ^ suggested library name

-> LogicGraph -> HetcatsOpts -> LNS -> LibEnv -> DGraph

-> FilePath -> ResultT IO (LibName, LibEnv)

anaSource mln lgraph opts topLns libenv initDG fname = ResultT $

if checkUri fname then do

putIfVerbose opts 2 $ "Downloading file " ++ fname

resp <- simpleHTTP (getRequest fname)

input <- getResponseBody resp

runResultT $

anaString mln lgraph opts topLns libenv initDG input fname

else do

fname' <- findFileOfLibName opts fname

case fname' of

Nothing ->

return $ fail $ "no file for library '" ++ fname ++ "' found."

Just file ->

if any (`isSuffixOf` file) [envSuffix, prfSuffix] then

return $ fail $ "no matching source file for '" ++ fname ++ "' found."

else do

inputLit <- readEncFile (ioEncoding opts) file

let input = (if unlit opts then Unlit.unlit else id) inputLit

libStr = if isAbsolute fname

then convertFileToLibStr fname

else dropExtensions fname

nLn = case mln of

Nothing | useLibPos opts ->

Just $ emptyLibName libStr

_ -> mln

putIfVerbose opts 2 $ "Reading file " ++ file

if takeExtension file /= ('.' : show TwelfIn)

then runResultT $

anaString nLn lgraph opts topLns libenv initDG input file

else do

res <- anaTwelfFile opts file

case res of

Nothing -> fail ""

Just (lname, lenv) -> return $ Result [] $

Just (lname, Map.union lenv libenv)

{- | parsing and static analysis for string (=contents of file)

Parameters: logic graph, default logic, contents of file, filename -}

anaString :: Maybe LibName -- ^ suggested library name

-> LogicGraph -> HetcatsOpts -> LNS -> LibEnv -> DGraph -> String

-> FilePath -> ResultT IO (LibName, LibEnv)

anaString mln lgraph opts topLns libenv initDG input file = do

curDir <- lift getCurrentDirectory -- get full path for parser positions

mt <- if checkUri file then return noTime

else lift $ getModificationTime file

let realFileName = curDir </> file

posFileName = case mln of

Just gLn | useLibPos opts -> show $ getLibId gLn

_ -> if checkUri file then file else realFileName

Lib_defn pln is ps ans <- readLibDefnM lgraph opts posFileName input

let noSuffixFile = rmSuffix file

spN = convertFileToLibStr file

noLibName = null $ show $ getLibId pln

ln = setFilePath posFileName mt

$ if noLibName then fromMaybe (emptyLibName spN) mln else pln

nIs = case is of

[Annoted (Spec_defn spn gn as qs) rs [] []]

| noLibName && null (tokStr spn)

-> [Annoted (Spec_defn (mkSimpleId spN) gn as qs) rs [] []]

_ -> is

ast = Lib_defn ln nIs ps ans

case analysis opts of

Skip -> do

lift $ putIfVerbose opts 1 $

"Skipping static analysis of library " ++ show ln

ga <- liftR $ addGlobalAnnos emptyGlobalAnnos ans

lift $ writeLibDefn ga file opts ast

liftR mzero

_ -> do

let libstring = show $ getLibId ln

unless (isSuffixOf libstring noSuffixFile) $ lift

$ putIfVerbose opts 1

$ "### file name '" ++ file ++ "' does not match library name '"

++ libstring ++ "'"

lift $ putIfVerbose opts 1 $ "Analyzing "

++ (if noLibName then "file " ++ file ++ " as " else "")

++ "library " ++ show ln

(_, ld, ga, lenv) <- anaLibDefn lgraph opts topLns libenv initDG ast

case Map.lookup ln lenv of

Nothing -> error $ "anaString: missing library: " ++ show ln

Just dg -> lift $ do

writeLibDefn ga file opts ld

when (hasEnvOut opts)

(writeFileInfo opts ln file ld dg)

return (ln, lenv)

-- lookup or read a library

anaLibFile :: LogicGraph -> HetcatsOpts -> LNS -> LibEnv -> DGraph -> LibName

-> ResultT IO (LibName, LibEnv)

anaLibFile lgraph opts topLns libenv initDG ln =

let lnstr = show ln in case Map.lookup ln libenv of

Just _ -> do

analyzing opts $ "from " ++ lnstr

return (ln, libenv)

Nothing -> do

putMessageIORes opts 1 $ "Downloading " ++ lnstr ++ " ..."

res <- anaLibFileOrGetEnv lgraph

(if recurse opts then opts else opts

{ outtypes = []

, unlit = False })

(Set.insert ln topLns) libenv initDG ln $ libNameToFile ln

putMessageIORes opts 1 $ "... loaded " ++ lnstr

return res

-- | lookup or read a library

anaLibFileOrGetEnv :: LogicGraph -> HetcatsOpts -> LNS -> LibEnv -> DGraph

-> LibName -> FilePath -> ResultT IO (LibName, LibEnv)

anaLibFileOrGetEnv lgraph opts topLns libenv initDG ln file = ResultT $ do

let envFile = rmSuffix file ++ envSuffix

recent_envFile <- checkRecentEnv opts envFile file

if recent_envFile

then do

mgc <- readVerbose lgraph opts ln envFile

case mgc of

Nothing -> runResultT $ do

lift $ putIfVerbose opts 1 $ "Deleting " ++ envFile

lift $ removeFile envFile

anaSource (Just ln) lgraph opts topLns libenv initDG file

Just (ld, gc) -> do

writeLibDefn (globalAnnos gc) file opts ld

-- get all DGRefs from DGraph

Result ds mEnv <- runResultT $ foldl

( \ ioLibEnv labOfDG -> let node = snd labOfDG in

if isDGRef node then do

let ln2 = dgn_libname node

p_libEnv <- ioLibEnv

if Map.member ln2 p_libEnv then

return p_libEnv

else fmap snd $ anaLibFile lgraph

opts topLns p_libEnv initDG ln2

else ioLibEnv)

(return $ Map.insert ln gc libenv)

$ labNodesDG gc

return $ Result ds $ fmap

( \ rEnv -> (ln, rEnv)) mEnv

else runResultT

$ anaSource (Just ln) lgraph opts topLns libenv initDG file

{- | analyze a LIB_DEFN.

Parameters: logic graph, default logic, opts, library env, LIB_DEFN.

Call this function as follows:

> do Result diags res <- runResultT (anaLibDefn ...)

> mapM_ (putStrLn . show) diags

-}

anaLibDefn :: LogicGraph -> HetcatsOpts -> LNS -> LibEnv -> DGraph -> LIB_DEFN

-> ResultT IO (LibName, LIB_DEFN, GlobalAnnos, LibEnv)

anaLibDefn lgraph opts topLns libenv dg (Lib_defn ln alibItems pos ans) = do

gannos <- showDiags1 opts $ liftR $ addGlobalAnnos emptyGlobalAnnos ans

(libItems', dg', libenv', _) <- foldM (anaLibItemAux opts topLns ln)

([], dg { globalAnnos = gannos }, libenv, lgraph) (map item alibItems)

let dg1 = computeDGraphTheories libenv' $ markFree libenv' $

markHiding libenv' dg'

newLD = Lib_defn ln

(zipWith replaceAnnoted (reverse libItems') alibItems) pos ans

dg2 = dg1 { optLibDefn = Just newLD }

return (ln, newLD, globalAnnos dg2, Map.insert ln dg2 libenv')

anaLibItemAux :: HetcatsOpts -> LNS -> LibName

-> ([LIB_ITEM], DGraph, LibEnv, LogicGraph)

-> LIB_ITEM -> ResultT IO ([LIB_ITEM], DGraph, LibEnv, LogicGraph)

anaLibItemAux opts topLns ln (libItems', dg1, libenv1, lG) libItem = let

newLG = case libItems' of

[] -> setCurLogic (defLogic opts) lG

Logic_decl logN _ : _ -> fromMaybe lG

$ maybeResult $ anaSublogic opts logN ln dg1 libenv1 lG

_ -> lG

currLog = currentLogic newLG

newOpts = if elem currLog ["DMU", "Framework"] then

opts { defLogic = currLog } else opts

in ResultT $ do

res2@(Result diags2 res) <- runResultT

$ anaLibItem newLG newOpts topLns ln libenv1 dg1 libItem

runResultT $ showDiags1 opts (liftR res2)

let mRes = case res of

Just (libItem', dg1', libenv1') ->

Just (libItem' : libItems', dg1', libenv1', newLG)

Nothing -> Nothing

if outputToStdout opts then

if hasErrors diags2 then

fail "Stopped due to errors"

else runResultT $ liftR $ Result [] mRes

else runResultT $ liftR $ Result diags2 mRes

putMessageIORes :: HetcatsOpts -> Int -> String -> ResultT IO ()

putMessageIORes opts i msg =

if outputToStdout opts

then lift $ putIfVerbose opts i msg

else liftR $ message () msg

analyzing :: HetcatsOpts -> String -> ResultT IO ()

analyzing opts = putMessageIORes opts 1 . ("Analyzing " ++)

alreadyDefined :: String -> String

alreadyDefined str = "Name " ++ str ++ " already defined"

-- | analyze a GENERICITY

anaGenericity :: LogicGraph -> LibName -> DGraph -> HetcatsOpts -> NodeName

-> GENERICITY -> Result (GENERICITY, GenSig, DGraph)

anaGenericity lg ln dg opts name

gen@(Genericity (Params psps) (Imported isps) pos) =

adjustPos pos $ case psps of

[] -> do -- no parameter ...

unless (null isps) $ plain_error ()

"Parameterless specifications must not have imports" pos

l <- lookupCurrentLogic "GENERICITY" lg

return (gen, GenSig (EmptyNode l) [] $ EmptyNode l, dg)

_ -> do

l <- lookupCurrentLogic "IMPORTS" lg

(imps', nsigI, dg') <- case isps of

[] -> return ([], EmptyNode l, dg)

_ -> do

(is', _, nsig', dgI) <- anaUnion False lg ln dg (EmptyNode l)

(extName "Imports" name) opts isps

return (is', JustNode nsig', dgI)

(ps', nsigPs, ns, dg'') <- anaUnion False lg ln dg' nsigI

(extName "Parameters" name) opts psps

return (Genericity (Params ps') (Imported imps') pos,

GenSig nsigI nsigPs $ JustNode ns, dg'')

-- | analyse a LIB_ITEM

anaLibItem :: LogicGraph -> HetcatsOpts -> LNS -> LibName -> LibEnv -> DGraph

-> LIB_ITEM -> ResultT IO (LIB_ITEM, DGraph, LibEnv)

anaLibItem lgraph opts topLns currLn libenv dg itm = case itm of

Spec_defn spn gen asp pos -> do

let spstr = tokStr spn

nName = makeName spn

analyzing opts $ "spec " ++ spstr

(gen', gsig@(GenSig _ _args allparams), dg') <-

liftR $ anaGenericity lgraph currLn dg opts nName gen

(sanno1, impliesA) <- liftR $ getSpecAnnos pos asp

when impliesA $ liftR $ plain_error ()

"unexpected initial %implies in spec-defn" pos

(sp', body, dg'') <-

liftR (anaSpecTop sanno1 True lgraph currLn dg'

allparams nName opts (item asp))

let libItem' = Spec_defn spn gen' (replaceAnnoted sp' asp) pos

genv = globalEnv dg

if Map.member spn genv

then liftR $ plain_error (libItem', dg'', libenv)

(alreadyDefined spstr) pos

else

-- let (_n, dg''') = addSpecNodeRT dg'' (UnitSig args body) $ show spn

return

( libItem'

, dg'' { globalEnv = Map.insert spn (SpecEntry

$ ExtGenSig gsig body) genv }

, libenv)

View_defn vn gen vt gsis pos -> do

analyzing opts $ "view " ++ tokStr vn

liftR $ anaViewDefn lgraph currLn libenv dg opts vn gen vt gsis pos

Arch_spec_defn asn asp pos -> do

let asstr = tokStr asn

analyzing opts $ "arch spec " ++ asstr

(_, _, diag, archSig, dg', asp') <- liftR $ anaArchSpec lgraph currLn dg

opts emptyExtStUnitCtx Nothing $ item asp

let asd' = Arch_spec_defn asn (replaceAnnoted asp' asp) pos

genv = globalEnv dg'

if Map.member asn genv

then liftR $ plain_error (asd', dg', libenv) (alreadyDefined asstr) pos

else do

let dg'' = updateNodeNameRT dg'

(refSource $ getPointerFromRef archSig) $ show asn

dg3 = dg'' { archSpecDiags =

Map.insert (show asn) diag

$ archSpecDiags dg''}

return (asd', dg3

{ globalEnv = Map.insert asn (ArchEntry archSig) genv },

libenv)

Unit_spec_defn usn usp pos -> do

let usstr = tokStr usn

analyzing opts $ "unit spec " ++ usstr

l <- lookupCurrentLogic "Unit_spec_defn" lgraph

(rSig, dg', usp') <-

liftR $ anaUnitSpec lgraph currLn dg opts (EmptyNode l) Nothing usp

unitSig <- liftR $ getUnitSigFromRef rSig

let usd' = Unit_spec_defn usn usp' pos

genv = globalEnv dg'

if Map.member usn genv

then liftR $ plain_error (itm, dg', libenv) (alreadyDefined usstr) pos

else return (usd', dg'

{ globalEnv = Map.insert usn (UnitEntry unitSig) genv },

libenv)

Ref_spec_defn rn rsp pos -> do

let rnstr = tokStr rn

l <- lookupCurrentLogic "Ref_spec_defn" lgraph

(_, _, _, rsig, dg', rsp') <- liftR $ anaRefSpec lgraph currLn dg opts

(EmptyNode l) rn emptyExtStUnitCtx Nothing rsp

analyzing opts $ "ref spec " ++ rnstr

let rsd' = Ref_spec_defn rn rsp' pos

genv = globalEnv dg'

if Map.member rn genv

then liftR (plain_error (itm, dg', libenv)

(alreadyDefined rnstr)

pos)

else -- trace (show $ refTree dg') $

return ( rsd', dg' { globalEnv = Map.insert rn (RefEntry rsig) genv }

, libenv)

Logic_decl logN pos -> do

putMessageIORes opts 1 $ showDoc itm ""

_ <- liftR $ adjustPos pos $ anaSublogic opts logN currLn dg libenv lgraph

return (itm, dg, libenv)

Download_items ln items pos -> if Set.member ln topLns then

liftR $ mkError "illegal cyclic library import"

$ Set.map getLibId topLns

else do

(ln', libenv') <- anaLibFile lgraph opts topLns libenv

(cpIndexMaps dg emptyDG) ln

unless (ln == ln')

$ liftR $ warning ()

(shows ln " does not match internal name " ++ shows ln' "")

pos

case Map.lookup ln' libenv' of

Nothing -> error $ "Internal error: did not find library "

++ show ln' ++ " available: " ++ show (Map.keys libenv')

Just dg' -> do

let dg0 = cpIndexMaps dg' dg

dg1 <- liftR $ anaItemNamesOrMaps libenv' ln' dg' dg0 items

return (itm, dg1, libenv')

Newlogic_defn ld _ -> ResultT $ do

dg' <- anaLogicDef ld dg

return $ Result [] $ Just (itm, dg', libenv)

Newcomorphism_defn com _ -> ResultT $ do

dg' <- anaComorphismDef com dg

return $ Result [] $ Just (itm, dg', libenv)

-- the first DGraph dg' is that of the imported library

anaItemNamesOrMaps :: LibEnv -> LibName -> DGraph -> DGraph

-> [ITEM_NAME_OR_MAP] -> Result DGraph

anaItemNamesOrMaps libenv' ln dg' dg items = do

(genv1, dg1) <- foldM

(anaItemNameOrMap libenv' ln $ globalEnv dg') (globalEnv dg, dg) items

gannos'' <- globalAnnos dg `mergeGlobalAnnos` globalAnnos dg'

return dg1

{ globalAnnos = gannos''

, globalEnv = genv1 }

-- | analyse genericity and view type and construct gmorphism

anaViewDefn :: LogicGraph -> LibName -> LibEnv -> DGraph -> HetcatsOpts

-> SIMPLE_ID -> GENERICITY -> VIEW_TYPE -> [G_mapping] -> Range

-> Result (LIB_ITEM, DGraph, LibEnv)

anaViewDefn lgraph ln libenv dg opts vn gen vt gsis pos = do

let vName = makeName vn

(gen', gsig@(GenSig _ _ allparams), dg') <-

anaGenericity lgraph ln dg opts vName gen

(vt', (src@(NodeSig nodeS gsigmaS)

, tar@(NodeSig nodeT gsigmaT@(G_sign lidT _ _))), dg'') <-

anaViewType lgraph ln dg' allparams opts vName vt

let genv = globalEnv dg''

if Map.member vn genv

then plain_error (View_defn vn gen' vt' gsis pos, dg'', libenv)

(alreadyDefined $ tokStr vn) pos

else do

let (tsis, hsis) = partitionGmaps gsis

(gsigmaS', tmor) <- if null tsis then do

(gsigmaS', imor) <- gSigCoerce lgraph gsigmaS (Logic lidT)

tmor <- gEmbedComorphism imor gsigmaS

return (gsigmaS', tmor)

else do

mor <- anaRenaming lgraph allparams gsigmaS opts (Renaming tsis pos)

let gsigmaS'' = cod mor

(gsigmaS', imor) <- gSigCoerce lgraph gsigmaS'' (Logic lidT)

tmor <- gEmbedComorphism imor gsigmaS''

fmor <- comp mor tmor

return (gsigmaS', fmor)

emor <- fmap gEmbed $ anaGmaps lgraph opts pos gsigmaS' gsigmaT hsis

gmor <- comp tmor emor

let vsig = ExtViewSig src gmor $ ExtGenSig gsig tar

voidView = nodeS == nodeT && isInclusion gmor

when voidView $ warning ()

("identity mapping of source to same target for view: " ++ tokStr vn)

pos

return (View_defn vn gen' vt' gsis pos,

(if voidView then dg'' else insLink dg'' gmor globalThm

(DGLinkView vn $ Fitted gsis) nodeS nodeT)

-- 'LeftOpen' for conserv correct?

{ globalEnv = Map.insert vn (ViewEntry vsig) genv }

, libenv)

{- | analyze a VIEW_TYPE

The first three arguments give the global context

The AnyLogic is the current logic

The NodeSig is the signature of the parameter of the view

flag, whether just the structure shall be analysed -}

anaViewType :: LogicGraph -> LibName -> DGraph -> MaybeNode -> HetcatsOpts

-> NodeName -> VIEW_TYPE -> Result (VIEW_TYPE, (NodeSig, NodeSig), DGraph)

anaViewType lg ln dg parSig opts name (View_type aspSrc aspTar pos) = do

l <- lookupCurrentLogic "VIEW_TYPE" lg

(spSrc', srcNsig, dg') <- adjustPos pos $ anaSpec False lg ln dg (EmptyNode l)

(extName "Source" name) opts (item aspSrc)

(spTar', tarNsig, dg'') <- adjustPos pos $ anaSpec True lg ln dg' parSig

(extName "Target" name) opts (item aspTar)

return (View_type (replaceAnnoted spSrc' aspSrc)

(replaceAnnoted spTar' aspTar)

pos,

(srcNsig, tarNsig), dg'')

anaItemNameOrMap :: LibEnv -> LibName -> GlobalEnv -> (GlobalEnv, DGraph)

-> ITEM_NAME_OR_MAP -> Result (GlobalEnv, DGraph)

anaItemNameOrMap libenv ln genv' res itm =

anaItemNameOrMap1 libenv ln genv' res $ case itm of

Item_name name -> (name, name)

Item_name_map old new _ -> (old, new)

-- | Auxiliary function for not yet implemented features

anaErr :: String -> a

anaErr f = error $ "*** Analysis of " ++ f ++ " is not yet implemented!"

anaItemNameOrMap1 :: LibEnv -> LibName -> GlobalEnv -> (GlobalEnv, DGraph)

-> (SIMPLE_ID, SIMPLE_ID) -> Result (GlobalEnv, DGraph)

anaItemNameOrMap1 libenv ln genv' (genv, dg) (old, new) = do

let newName = makeName new

entry <- maybeToResult (tokPos old)

(tokStr old ++ " not found") (Map.lookup old genv')

maybeToResult (tokPos new) (tokStr new ++ " already used")

$ case Map.lookup new genv of

Nothing -> Just ()

Just _ -> Nothing

case entry of

SpecEntry extsig ->

let (dg1, extsig1) = refExtsig libenv ln dg newName extsig

genv1 = Map.insert new (SpecEntry extsig1) genv

in return (genv1, dg1)

StructEntry vsig ->

let (dg1, vsig1) = refViewsig libenv ln dg newName vsig

genv1 = Map.insert new (StructEntry vsig1) genv

in return (genv1, dg1)

ViewEntry vsig ->

let (dg1, vsig1) = refViewsig libenv ln dg newName vsig

genv1 = Map.insert new (ViewEntry vsig1) genv

in return (genv1, dg1)

ArchEntry _asig -> anaErr "arch spec download"

UnitEntry _usig -> anaErr "unit spec download"

RefEntry _rsig -> anaErr "ref spec download"

refNodesig :: LibEnv -> LibName -> DGraph -> (NodeName, NodeSig)

-> (DGraph, NodeSig)

refNodesig libenv refln dg (name, NodeSig refn sigma@(G_sign lid sig ind)) =

let (ln, (n, lbl)) = getActualParent libenv refln refn

refInfo = newRefInfo ln n

new = newInfoNodeLab name refInfo

$ noSensGTheory lid sig ind

nodeCont = new { globalTheory = globalTheory lbl }

node = getNewNodeDG dg

in case lookupInAllRefNodesDG refInfo dg of

Just existNode -> (dg, NodeSig existNode sigma)

Nothing ->

( addToRefNodesDG node refInfo $ insNodeDG (node, nodeCont) dg

, NodeSig node sigma)

{- | get to the actual parent which is not a referenced node, so that

the small chains between nodes in different library can be advoided.

(details see ticket 5)

-}

getActualParent :: LibEnv -> LibName -> Node -> (LibName, LNode DGNodeLab)

getActualParent libenv ln n =

let refLab = labDG (lookupDGraph ln libenv) n in

if isDGRef refLab then

{- recursively goes to parent of the current node, but

it actually would only be done once -}

getActualParent libenv (dgn_libname refLab) (dgn_node refLab)

else (ln, (n, refLab))

refNodesigs :: LibEnv -> LibName -> DGraph -> [(NodeName, NodeSig)]

-> (DGraph, [NodeSig])

refNodesigs libenv = mapAccumR . refNodesig libenv

refExtsig :: LibEnv -> LibName -> DGraph -> NodeName -> ExtGenSig

-> (DGraph, ExtGenSig)

refExtsig libenv ln dg name (ExtGenSig (GenSig imps params gsigmaP) body) = let

pName = extName "Parameters" name

(dg1, imps1) = case imps of

EmptyNode _ -> (dg, imps)

JustNode ns -> let

(dg0, nns) = refNodesig libenv ln dg (extName "Imports" name, ns)

in (dg0, JustNode nns)

(dg2, params1) = refNodesigs libenv ln dg1

$ snd $ foldr (\ p (n, l) -> let nn = inc n in

(nn, (nn, p) : l)) (pName, []) params

(dg3, gsigmaP1) = case gsigmaP of

EmptyNode _ -> (dg, gsigmaP)

JustNode ns -> let

(dg0, nns) = refNodesig libenv ln dg2 (pName, ns)

in (dg0, JustNode nns)

(dg4, body1) = refNodesig libenv ln dg3 (name, body)

in (dg4, ExtGenSig (GenSig imps1 params1 gsigmaP1) body1)

refViewsig :: LibEnv -> LibName -> DGraph -> NodeName -> ExtViewSig

-> (DGraph, ExtViewSig)

refViewsig libenv ln dg name (ExtViewSig src mor extsig) = let

(dg1, src1) = refNodesig libenv ln dg (extName "Source" name, src)

(dg2, extsig1) = refExtsig libenv ln dg1 (extName "Target" name) extsig

in (dg2, ExtViewSig src1 mor extsig1)