{- |

Module : $Header$

Description : static analysis of heterogeneous structured specifications

Copyright : (c) Till Mossakowski and Uni Bremen 2003-2006

License : similar to LGPL, see HetCATS/LICENSE.txt or LIZENZ.txt

Maintainer : till@informatik.uni-bremen.de

Stability : provisional

Portability : non-portable (imports Logic.Grothendieck)

Static analysis of CASL (heterogeneous) structured specifications

Follows the verfication semantic rules in Chap. IV:4.7

of the CASL Reference Manual.

-}

module Static.AnalysisStructured

( anaSpec

, anaSpecTop

, anaUnion

, getSpecAnnos

, isStructured

, anaRenaming

, anaRestriction

, homogenizeGM

, anaGmaps

, insGSig

, insLink

, extendMorphism

, insGTheory

) where

import Driver.Options

import Logic.Logic

import Logic.ExtSign

import Logic.Coerce

import Logic.Comorphism

import Logic.Grothendieck

import Logic.Prover

import Static.DevGraph

import Static.GTheory

import Syntax.AS_Structured

import Common.AS_Annotation hiding (isAxiom, isDef)

import Common.Consistency

import Common.DocUtils

import Common.ExtSign

import Common.Id

import Common.Result

import Common.Utils (number)

import qualified Common.Lib.Rel as Rel (image, setInsert)

import Data.Graph.Inductive.Graph as Graph (Node)

import qualified Data.Set as Set

import qualified Data.Map as Map

import Data.Maybe

import Data.List (find)

import Control.Monad

coerceMaybeNode :: LogicGraph -> DGraph -> MaybeNode -> NodeName -> AnyLogic

-> Result (MaybeNode, DGraph)

coerceMaybeNode lg dg mn nn l2 = case mn of

EmptyNode _ -> return (EmptyNode l2, dg)

JustNode ns -> do

(ms, dg2) <- coerceNode lg dg ns nn l2

return (JustNode ms, dg2)

coerceNode :: LogicGraph -> DGraph -> NodeSig -> NodeName -> AnyLogic

-> Result (NodeSig, DGraph)

coerceNode lg dg ns@(NodeSig n s@(G_sign lid1 _ _)) nn l2@(Logic lid2) =

if language_name lid1 == language_name lid2 then return (ns, dg)

else do

c <- logicInclusion lg (Logic lid1) l2

gmor <- gEmbedComorphism c s

case find (\ (_, _, l) -> dgl_origin l == SeeTarget

&& dgl_type l == globalDef

&& dgl_morphism l == gmor) $ outDG dg n of

Nothing -> do

let (ms@(NodeSig m _), dg2) =

insGSig dg (extName "XCoerced" nn) DGLogicCoercion $ cod gmor

dg3 = insLink dg2 gmor globalDef SeeTarget n m

return (ms, dg3)

Just (_, t, _) ->

return (NodeSig t $ signOf $ dgn_theory $ labDG dg t, dg)

insGTheory :: DGraph -> NodeName -> DGOrigin -> G_theory -> (NodeSig, DGraph)

insGTheory dg name orig (G_theory lid sig ind sens tind) =

let (sgMap, s) = sigMapI dg

(tMap, t) = thMapI dg

nind = if ind == startSigId then succ s else ind

tb = tind == startThId && not (Map.null sens)

ntind = if tb then succ t else tind

nsig = G_sign lid sig nind

nth = G_theory lid sig nind sens ntind

node_contents = newNodeLab name orig nth

node = getNewNodeDG dg

in (NodeSig node nsig,

(if tb then setThMapDG $ Map.insert (succ t) nth tMap else id) $

(if ind == startSigId

then setSigMapDG $ Map.insert (succ s) nsig sgMap else id)

$ insNodeDG (node, node_contents) dg)

insGSig :: DGraph -> NodeName -> DGOrigin -> G_sign -> (NodeSig, DGraph)

insGSig dg name orig (G_sign lid sig ind) =

insGTheory dg name orig $ noSensGTheory lid sig ind

insLink :: DGraph -> GMorphism -> DGLinkType -> DGLinkOrigin -> Node -> Node

-> DGraph

insLink dg (GMorphism cid sign si mor mi) ty orig n t =

let (sgMap, s) = sigMapI dg

(mrMap, m) = morMapI dg

nsi = if si == startSigId then succ s else si

nmi = if mi == startMorId then succ m else mi

nmor = GMorphism cid sign nsi mor nmi

link = defDGLink nmor ty orig

in (if mi == startMorId then setMorMapDG $ Map.insert (succ m)

(toG_morphism nmor) mrMap else id) $

(if si == startSigId then setSigMapDG $ Map.insert (succ s)

(G_sign (sourceLogic cid) sign nsi) sgMap else id)

$ insLEdgeNubDG (n, t, link) dg

createConsLink :: LinkKind -> Conservativity -> LogicGraph -> DGraph

-> MaybeNode -> NodeSig -> DGLinkOrigin -> Result DGraph

createConsLink lk conser lg dg nsig (NodeSig node gsig) orig = case nsig of

EmptyNode _ | conser == None -> return dg

_ -> case nsig of

JustNode (NodeSig n sig)-> do

let Result _ mIncl = ginclusion lg sig gsig

case mIncl of

Just incl ->

return $ insLink dg incl

(ScopedLink Global lk $ mkConsStatus conser) orig n node

Nothing -> do

unless (conser == None) $ warning ()

"ingoring conservativity annotation between non-subsignatures"

nullRange

return dg

EmptyNode _ -> -- add conservativity to the target node

return $ let lbl = labDG dg node

in if isDGRef lbl then dg else

fst $ labelNodeDG

(node, lbl

{ nodeInfo =

(nodeInfo lbl)

{ node_cons_status = case getNodeConsStatus lbl of

ConsStatus c d th -> ConsStatus (max c conser) d th }}) dg

anaSpecTop :: Conservativity -> Bool -> LogicGraph -> DGraph -> MaybeNode

-> NodeName -> HetcatsOpts -> SPEC -> Result (SPEC, NodeSig, DGraph)

anaSpecTop conser addSyms lg dg nsig name opts sp =

if conser == None || case sp of

-- for these cases def-links are re-used

Basic_spec _ _ -> True

Closed_spec _ _ -> True

Spec_inst _ _ _ -> True

Group _ _ -> True -- in this case we recurse

_ -> False

then anaSpecAux conser addSyms lg dg nsig name opts sp else do

let provenThmLink =

ThmLink $ Proven (DGRule "static analysis") emptyProofBasis

(rsp, ns, rdg) <- anaSpec addSyms lg dg nsig name opts sp

ndg <- createConsLink provenThmLink conser lg rdg nsig ns SeeTarget

return (rsp, ns, ndg)

anaQualSpec :: Bool -> LogicGraph -> HetcatsOpts -> DGraph

-> MaybeNode -> NodeName -> Annoted SPEC -> Range

-> Result (Annoted SPEC, NodeSig, DGraph)

anaQualSpec addSyms lg opts dg nsig name asp pos = adjustPos pos $ do

(sp', NodeSig n' gsigma, dg') <-

anaSpec addSyms lg dg nsig (extName "Qualified" name) opts $ item asp

let (ns@(NodeSig node _), dg2) = insGSig dg' name DGLogicQual gsigma

return (replaceAnnoted sp' asp, ns,

insLink dg2 (ide gsigma) globalDef SeeTarget n' node)

anaFreeOrCofreeSpec :: Bool -> LogicGraph -> HetcatsOpts -> DGraph

-> MaybeNode -> NodeName -> FreeOrCofree -> Annoted SPEC -> Range

-> Result (Annoted SPEC, NodeSig, DGraph)

anaFreeOrCofreeSpec addSyms lg opts dg nsig name dglType asp pos =

adjustPos pos $ do

(sp', NodeSig n' gsigma, dg') <-

anaSpec addSyms lg dg nsig (extName (show dglType) name) opts

$ item asp

let (ns@(NodeSig node _), dg2) =

insGSig dg' name (DGFreeOrCofree dglType) gsigma

nsigma <- return $ case nsig of

EmptyNode cl -> emptyG_sign cl

JustNode nds -> getSig nds

incl <- ginclusion lg nsigma gsigma

return (replaceAnnoted sp' asp, ns,

insLink dg2 incl (FreeOrCofreeDefLink dglType nsig)

SeeTarget n' node)

-- | analyze a SPEC

-- Bool Parameter determines if incoming symbols shall be ignored

-- options: here we need the info: shall only the structure be analysed?

anaSpec :: Bool -> LogicGraph -> DGraph -> MaybeNode -> NodeName

-> HetcatsOpts -> SPEC -> Result (SPEC, NodeSig, DGraph)

anaSpec = anaSpecAux None

anaSpecAux :: Conservativity -> Bool -> LogicGraph -> DGraph -> MaybeNode

-> NodeName -> HetcatsOpts -> SPEC -> Result (SPEC, NodeSig, DGraph)

anaSpecAux conser addSyms lg dg nsig name opts sp = case sp of

Basic_spec (G_basic_spec lid bspec) pos -> adjustPos pos $ do

let curLogic = Logic lid

(nsig', dg0) <- coerceMaybeNode lg dg nsig name curLogic

G_sign lid' sigma' _ <- return $ case nsig' of

EmptyNode cl -> emptyG_sign cl

JustNode ns -> getSig ns

ExtSign sig sys <-

coerceSign lid' lid "Analysis of basic spec" sigma'

(bspec', ExtSign sigma_complete sysd, ax) <-

if isStructured opts

then return (bspec, mkExtSign $ empty_signature lid, [])

else do

b <- maybeToMonad

("no basic analysis for logic " ++ language_name lid)

(basic_analysis lid)

b (bspec, sig, globalAnnos dg0)

let gsysd = Set.map (G_symbol lid) sysd

(ns, dg') = insGTheory dg0 name

(DGBasicSpec (G_basic_spec lid bspec') gsysd)

$ G_theory lid (ExtSign sigma_complete

$ Set.intersection

(if addSyms then Set.union sys sysd else sysd)

$ sym_of lid sigma_complete) startSigId (toThSens ax) startThId

dg'' <- createConsLink DefLink conser lg dg' nsig' ns DGLinkExtension

return (Basic_spec (G_basic_spec lid bspec') pos, ns, dg'')

EmptySpec pos -> case nsig of

EmptyNode _ -> do

warning () "empty spec" pos

let (ns, dg') = insGSig dg name DGEmpty (getMaybeSig nsig)

return (sp, ns, dg')

{- anaSpec should be changed to return a MaybeNode!

Then this duplicate dummy node could be avoided.

Also empty unions could be treated then -}

JustNode ns -> return (sp, ns ,dg)

Translation asp ren ->

do let sp1 = item asp

(sp1', NodeSig n' gsigma, dg') <-

anaSpec addSyms lg dg nsig (extName "Translation" name) opts sp1

mor <- anaRenaming lg nsig gsigma opts ren

-- ??? check that mor is identity on local env

let (ns@(NodeSig node _), dg'') =

insGSig dg' name (DGTranslation $ Renamed ren) $ cod mor

-- ??? too simplistic for non-comorphism inter-logic translations

return (Translation (replaceAnnoted sp1' asp) ren, ns,

insLink dg'' mor globalDef SeeTarget n' node)

Reduction asp restr ->

do let sp1 = item asp

(sp1', NodeSig n' gsigma', dg') <-

anaSpec addSyms lg dg nsig (extName "Restriction" name) opts sp1

let gsigma = getMaybeSig nsig

(hmor, tmor) <- anaRestriction lg gsigma gsigma' opts restr

-- we treat hiding and revealing differently

-- in order to keep the dg as simple as possible

case tmor of

Nothing ->

do let (ns@(NodeSig node _), dg'') =

insGSig dg' name DGHiding $ dom hmor

-- ??? too simplistic for non-comorphism inter-logic reductions

return (Reduction (replaceAnnoted sp1' asp) restr, ns,

insLink dg'' hmor HidingDefLink SeeTarget n' node)

Just tmor' -> do

let gsigma1 = dom tmor'

gsigma'' = cod tmor'

-- ??? too simplistic for non-comorphism inter-logic reductions

-- the case with identity translation leads to a simpler dg

if tmor' == ide (dom tmor')

then do

let (ns@(NodeSig node1 _), dg'') =

insGSig dg' name DGRevealing gsigma1

return (Reduction (replaceAnnoted sp1' asp) restr, ns,

insLink dg'' hmor HidingDefLink SeeTarget n' node1)

else do

let (NodeSig node1 _, dg'') =

insGSig dg' (extName "Revealing" name) DGRevealing gsigma1

(ns@(NodeSig node2 _), dg3) =

insGSig dg'' name DGRevealTranslation gsigma''

dg4 = insLink dg3 hmor HidingDefLink SeeTarget n' node1

return (Reduction (replaceAnnoted sp1' asp) restr, ns,

insLink dg4 tmor' globalDef SeeTarget node1 node2)

Union asps pos -> do

(newAsps, _, ns, dg') <- adjustPos pos $ anaUnion addSyms lg dg nsig

name opts asps

return (Union newAsps pos, ns, dg')

Extension asps pos -> do

let namedSps = map (\ (asp, n) ->

let nn = incBy n (extName "Extension" name) in

if n < length asps then (nn, asp)

else (name { xpath = xpath nn }, asp)) $ number asps

(sps', nsig1', dg1, _, _) <- foldM (anaExtension lg opts pos)

([], nsig, dg, conser, addSyms) namedSps

case nsig1' of

EmptyNode _ -> fail "empty extension"

JustNode nsig1 -> return (Extension (zipWith replaceAnnoted

(reverse sps') asps)

pos, nsig1,dg1)

Free_spec asp poss -> do

(nasp, nsig', dg') <- anaFreeOrCofreeSpec addSyms lg opts dg nsig name

Free asp poss

return (Free_spec nasp poss, nsig', dg')

Cofree_spec asp poss -> do

(nasp, nsig', dg') <- anaFreeOrCofreeSpec addSyms lg opts dg nsig name

Cofree asp poss

return (Cofree_spec nasp poss, nsig', dg')

Local_spec asp asp' poss -> adjustPos poss $ do

let sp1 = item asp

sp1' = item asp'

lname = extName "Local" name

(sp2, nsig'@(NodeSig _ gsig1), dg') <-

anaSpec False lg dg nsig (extName "Spec" lname) opts sp1

(sp2', NodeSig n'' (G_sign lid2 sigma2 _), dg'') <-

anaSpec False lg dg' (JustNode nsig') (extName "Within" lname) opts sp1'

let gSigN = getMaybeSig nsig

(G_sign lid sigmaN _, _) <- gSigCoerce lg gSigN (Logic lid2)

sigma <- coerceSign lid lid2 "Analysis of local spec1" sigmaN

(G_sign lid' sigma' _, _) <- gSigCoerce lg gsig1 (Logic lid2)

sigma1 <- coerceSign lid' lid2 "Analysis of local spec2" sigma'

let sys = ext_sym_of lid2 sigma

sys1 = ext_sym_of lid2 sigma1

sys2 = ext_sym_of lid2 sigma2

mor3 <- if isStructured opts then return (ext_ide sigma2)

else ext_cogenerated_sign lid2

(sys1 `Set.difference` sys) sigma2

let sigma3 = dom mor3

-- gsigma2 = G_sign lid sigma2

gsigma3 = G_sign lid2 (makeExtSign lid2 sigma3) startSigId

sys3 = sym_of lid2 sigma3

unless (isStructured opts

|| sys2 `Set.difference` sys1 `Set.isSubsetOf` sys3)

$ plain_error () (

"illegal use of locally declared symbols: "

++ showDoc ((sys2 `Set.intersection` sys1) `Set.difference` sys3) "")

poss

let (ns@(NodeSig node _), dg2) = insGSig dg'' name DGLocal gsigma3

return (Local_spec (replaceAnnoted sp2 asp)

(replaceAnnoted sp2' asp')

poss, ns,

insLink dg2 (gEmbed2 gsigma3 $ mkG_morphism lid2 mor3)

HidingDefLink SeeTarget n'' node)

Closed_spec asp pos -> adjustPos pos $ do

let sp1 = item asp

l = getLogic nsig

-- analyse spec with empty local env

(sp', NodeSig n' gsigma', dg') <- -- choose a unique starting letter

anaSpec False lg dg (EmptyNode l) (extName "Closed" name) opts sp1

let gsigma = getMaybeSig nsig

gsigma2 <- gsigUnion lg gsigma gsigma'

let (ns@(NodeSig node _), dg2) = insGSig dg' name DGClosed gsigma2

incl2 <- ginclusion lg gsigma' gsigma2

let dg3 = insLink dg2 incl2 globalDef SeeTarget n' node

dg4 <- createConsLink DefLink conser lg dg3 nsig ns DGLinkClosedLenv

return (Closed_spec (replaceAnnoted sp' asp) pos, ns, dg4)

Qualified_spec lognm@(Logic_name ln _) asp pos -> do

let newLG = lg { currentLogic = tokStr ln }

l <- lookupCurrentLogic "Qualified_spec" newLG

let newNSig = case nsig of

EmptyNode _ -> EmptyNode l

_ -> nsig

(nasp, nsig', dg') <-

anaQualSpec addSyms lg opts dg newNSig name asp pos

return (Qualified_spec lognm nasp pos, nsig', dg')

Group asp pos -> do

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

anaSpecTop conser addSyms lg dg nsig name opts (item asp)

return (Group (replaceAnnoted sp' asp) pos, nsig', dg')

Spec_inst spname afitargs pos0 -> let

pos = if null afitargs then tokPos spname else pos0

spstr = tokStr spname

in adjustPos pos $ case lookupGlobalEnvDG spname dg of

Just (SpecEntry gs@(ExtGenSig (GenSig _ params _)

body@(NodeSig nB gsigmaB))) ->

case (\ x y -> (x , x - y)) (length afitargs) (length params) of

-- the case without parameters leads to a simpler dg

(0, 0) -> case nsig of

-- if the node shall not be named and the logic does not change,

EmptyNode _ | isInternal name -> do

dg2 <- createConsLink DefLink conser lg dg nsig body SeeTarget

-- then just return the body

return (sp, body, dg2)

-- otherwise, we need to create a new one

_ -> do

gsigma <- case nsig of

EmptyNode _ -> return gsigmaB

JustNode (NodeSig _ sigI) -> gsigUnion lg sigI gsigmaB

let (fsig@(NodeSig node _), dg2) =

insGSig dg name (DGInst spname) gsigma

incl <- ginclusion lg gsigmaB gsigma

let dg3 = case nsig of

JustNode (NodeSig nI _) | nI == nB -> dg2

_ -> insLink dg2 incl globalDef (DGLinkMorph spname) nB node

dg4 <- createConsLink DefLink conser lg dg3 nsig fsig SeeTarget

return (sp, fsig, dg4)

-- now the case with parameters

(_, 0) -> do

(ffitargs, dg', (morDelta, gsigmaA, ns@(NodeSig nA gsigmaRes))) <-

anaAllFitArgs lg opts dg nsig name spname gs afitargs

GMorphism cid _ _ _ _ <- return morDelta

morDelta' <- case nsig of

EmptyNode _ -> return morDelta

_ -> ginclusion lg gsigmaA gsigmaRes >>= comp morDelta

(_, imor) <- gSigCoerce lg gsigmaB $ Logic $ sourceLogic cid

tmor <- gEmbedComorphism imor gsigmaB

morDelta'' <- comp tmor morDelta'

let dg4 = case nsig of

JustNode (NodeSig nI _) | nI == nB -> dg'

_ -> insLink dg' morDelta'' globalDef (DGLinkMorph spname) nB nA

dg5 <- createConsLink DefLink conser lg dg4 nsig ns SeeTarget

return (Spec_inst spname ffitargs pos, ns, dg5)

-- finally the case with conflicting numbers of formal and actual parameters

_ ->

fatal_error

(spstr ++ " expects " ++ show (length params) ++ " arguments"

++ " but was given " ++ show (length afitargs)) pos

_ -> fatal_error

("Structured specification " ++ spstr ++ " not found") pos

-- analyse "data SPEC1 SPEC2"

Data (Logic lidD) (Logic lidP) asp1 asp2 pos -> adjustPos pos $ do

let sp1 = item asp1

sp2 = item asp2

-- look for the inclusion comorphism from the current logic's data logic

-- into the current logic itself

Comorphism cid <- logicInclusion lg (Logic lidD) (Logic lidP)

let lidD' = sourceLogic cid

lidP' = targetLogic cid

dname = extName "Data" name

-- analyse SPEC1

(sp1', NodeSig n' (G_sign lid' sigma' _), dg') <-

anaSpec False lg dg (EmptyNode (Logic lidD)) dname opts sp1

-- force the result to be in the data logic

sigmaD <- coerceSign lid' lidD' "Analysis of data spec" sigma'

-- translate SPEC1's signature along the comorphism

(sigmaD', sensD') <- ext_map_sign cid sigmaD

-- create a development graph link for this translation

let (nsig2@(NodeSig node _), dg1) = insGTheory dg' dname DGData

$ G_theory lidP' sigmaD' startSigId (toThSens sensD') startThId

dg2 = insLink dg1 (GMorphism cid sigmaD startSigId

(ext_ide sigmaD') startMorId)

globalDef SeeTarget n' node

-- analyse SPEC2

(sp2', nsig3, dg3) <-

anaSpec addSyms lg dg2 (JustNode nsig2) name opts sp2

return (Data (Logic lidD) (Logic lidP)

(replaceAnnoted sp1' asp1)

(replaceAnnoted sp2' asp2)

pos, nsig3, dg3)

anaUnion :: Bool -> LogicGraph -> DGraph -> MaybeNode -> NodeName

-> HetcatsOpts -> [Annoted SPEC]

-> Result ([Annoted SPEC], [NodeSig], NodeSig, DGraph)

anaUnion addSyms lg dg nsig name opts asps = case asps of

[] -> fail "empty union"

_ -> do

let sps = map item asps

(sps', nsigs, dg', _) <-

let ana (sps1, nsigs, dg', n) sp' = do

let n1 = inc n

(sp1, nsig', dg1) <- anaSpec addSyms lg dg' nsig n1 opts sp'

return (sp1 : sps1, nsig' : nsigs, dg1, n1)

in foldM ana ([], [], dg, extName "Union" name) sps

let newAsps = zipWith replaceAnnoted (reverse sps') asps

case nsigs of

[ns] -> return (newAsps, nsigs, ns, dg')

_ -> do

let nsigs' = reverse nsigs

gbigSigma <- gsigManyUnion lg (map getSig nsigs')

let (ns@(NodeSig node _), dg2) = insGSig dg' name DGUnion gbigSigma

insE dgl (NodeSig n gsigma) = do

incl <- ginclusion lg gsigma gbigSigma

return $ insLink dgl incl globalDef SeeTarget n node

dg3 <- foldM insE dg2 nsigs'

return (newAsps, nsigs', ns, dg3)

-- analysis of renamings

anaRen :: LogicGraph -> HetcatsOpts -> MaybeNode -> Range -> GMorphism

-> G_mapping -> Result GMorphism

anaRen lg opts lenv pos gmor@(GMorphism r sigma ind1 mor _) gmap =

adjustPos pos $ case gmap of

G_symb_map (G_symb_map_items_list lid sis) ->

let lid2 = targetLogic r in

if language_name lid2 == language_name lid then

if isStructured opts then return gmor else do

sis1 <- coerceSymbMapItemsList lid lid2 "Analysis of renaming" sis

rmap <- stat_symb_map_items lid2 sis1

mor1 <- ext_induced_from_morphism lid2 rmap $ makeExtSign lid2 $ cod mor

case lenv of

EmptyNode _ -> return ()

JustNode (NodeSig _ sigLenv) -> do

-- needs to be changed for logic translations

(G_sign lid1 sigmaLenv1 _, _) <-

gSigCoerce lg sigLenv (Logic lid2)

sigmaLenv' <- coerceSign lid1 lid2 "" sigmaLenv1

let sysLenv = ext_sym_of lid2 sigmaLenv'

m = symmap_of lid2 mor1

isChanged sy = case Map.lookup sy m of

Just sy' -> sy /= sy'

Nothing -> False

forbiddenSys = Set.filter isChanged sysLenv

unless (Set.null forbiddenSys) $ plain_error () (

"attempt to rename the following symbols from " ++

"the local environment:\n" ++ showDoc forbiddenSys "") pos

mor2 <- comp mor mor1

return $ GMorphism r sigma ind1 mor2 startMorId

else do

comor <- logicInclusion lg (Logic lid2) (Logic lid)

gmorTrans <- gEmbedComorphism comor $ cod gmor

newMor <- comp gmor gmorTrans

anaRen lg opts lenv pos newMor gmap

G_logic_translation (Logic_code tok src tar pos1) ->

let adj1 = adjustPos $ if pos1 == nullRange then pos else pos1

in adj1 $ do

G_sign srcLid srcSig ind <- return (cod gmor)

c <- case tok of

Just ctok -> do

let getLogicStr (Logic_name l _) = tokStr l

Comorphism cid <- lookupComorphism (tokStr ctok) lg

when (isJust src && getLogicStr (fromJust src) /=

language_name (sourceLogic cid))

(fail (getLogicStr (fromJust src) ++

"is not the source logic of "

++ language_name cid))

when (isJust tar && getLogicStr (fromJust tar) /=

language_name (targetLogic cid))

(fail (getLogicStr (fromJust tar) ++

"is not the target logic of "

++ language_name cid))

return (Comorphism cid)

Nothing -> case tar of

Just (Logic_name l _) ->

lookupLogic "with logic: " (tokStr l) lg

>>= logicInclusion lg (Logic srcLid)

Nothing -> fail "with logic: cannot determine comorphism"

mor1 <- gEmbedComorphism c (G_sign srcLid srcSig ind)

comp gmor mor1

anaRenaming :: LogicGraph -> MaybeNode -> G_sign -> HetcatsOpts -> RENAMING

-> Result GMorphism

anaRenaming lg lenv gSigma opts (Renaming ren pos) =

foldM (anaRen lg opts lenv pos) (ide gSigma) ren

-- analysis of restrictions

anaRestr :: LogicGraph -> G_sign -> Range -> GMorphism -> G_hiding

-> Result GMorphism

anaRestr lg sigEnv pos (GMorphism cid (ExtSign sigma1 sys1) _ mor _) gh =

case gh of

G_symb_list (G_symb_items_list lid' sis') -> do

let lid1 = sourceLogic cid

sis1 <- coerceSymbItemsList lid' lid1 "Analysis of restriction1" sis'

rsys <- stat_symb_items lid1 sis1

let sys = sym_of lid1 sigma1

sys' = Set.filter (\ sy -> any (matches lid1 sy) rsys) sys

unmatched = filter ( \ rsy -> Set.null $ Set.filter

( \ sy -> matches lid1 sy rsy) sys') rsys

unless (null unmatched)

$ plain_error () ("attempt to hide unknown symbols:\n"

++ showDoc unmatched "") pos

-- needs to be changed when logic projections are implemented

(G_sign lidE sigmaLenv0 _, _) <- gSigCoerce lg sigEnv (Logic lid1)

sigmaLenv' <- coerceSign lidE lid1 "" sigmaLenv0

let sysLenv = ext_sym_of lid1 sigmaLenv'

forbiddenSys = sys' `Set.intersection` sysLenv

unless (Set.null forbiddenSys)

$ plain_error () (

"attempt to hide the following symbols from the local environment:\n"

++ showDoc forbiddenSys "") pos

mor1 <- cogenerated_sign lid1 sys' sigma1

mor1' <- map_morphism cid mor1

mor2 <- comp mor1' mor

return $ GMorphism cid (ExtSign (dom mor1) $ Set.fold (\ sy ->

case Map.lookup sy $ symmap_of lid1 mor1 of

Nothing -> id

Just sy1 -> Set.insert sy1) Set.empty sys1)

startSigId mor2 startMorId

G_logic_projection (Logic_code _tok _src _tar pos1) ->

fatal_error "no analysis of logic projections yet" pos1

anaRestriction :: LogicGraph -> G_sign -> G_sign -> HetcatsOpts -> RESTRICTION

-> Result (GMorphism, Maybe GMorphism)

anaRestriction lg gSigma gSigma'@(G_sign lid0 sig0 ind0) opts restr =

if isStructured opts then return (ide gSigma, Nothing) else

case restr of

Hidden rstr pos -> do

mor <- foldM (anaRestr lg gSigma pos) (ide gSigma') rstr

return (mor, Nothing)

Revealed (G_symb_map_items_list lid1 sis) pos -> adjustPos pos $ do

(G_sign lid sigma _, _) <- gSigCoerce lg gSigma (Logic lid1)

sigma0 <- coerceSign lid lid1 "" sigma

(G_sign lid' sigma' _, Comorphism cid) <-

gSigCoerce lg gSigma' (Logic lid1)

sigma1 <- coerceSign lid' lid1 "" sigma'

let sys = ext_sym_of lid1 sigma0 -- local env

sys' = ext_sym_of lid1 sigma1 -- "big" signature

rmap <- stat_symb_map_items lid1 sis

let sys'' = Set.fromList

[sy | sy <- Set.toList sys', rsy <-

Map.keys rmap, matches lid1 sy rsy]

-- domain of rmap intersected with sys'

-- domain of rmap should be checked to match symbols from sys' ???

mor1 <- ext_generated_sign lid1 (sys `Set.union` sys'') sigma1

mor2 <- ext_induced_from_morphism lid1 rmap $ makeExtSign lid1 $ dom mor1

mor1' <- coerceMorphism lid1 (targetLogic cid) "" mor1

sig1 <- coerceSign lid0 (sourceLogic cid) "" sig0

return (GMorphism cid sig1 ind0 mor1' startMorId

, Just $ gEmbed $ mkG_morphism lid1 mor2)

anaGmaps :: LogicGraph -> HetcatsOpts -> Range -> G_sign -> G_sign

-> [G_mapping] -> Result G_morphism

anaGmaps lg opts pos psig@(G_sign lidP sigmaP _) asig@(G_sign lidA sigmaA _)

gsis = adjustPos pos $ if isStructured opts

then return $ mkG_morphism lidP $ ext_ide sigmaP

else if null gsis then do

(G_sign lidP' sigmaP' _, _) <- gSigCoerce lg psig (Logic lidA)

sigmaA' <- coerceSign lidA lidP' "anaGmaps" sigmaA

fmap (mkG_morphism lidP') $

ext_induced_from_to_morphism lidP' Map.empty sigmaP' sigmaA'

else do

cl <- lookupCurrentLogic "anaGmaps" lg

G_symb_map_items_list lid sis <- homogenizeGM cl gsis

rmap <- stat_symb_map_items lid sis

(G_sign lidP' sigmaP'' _, _) <- gSigCoerce lg psig (Logic lid)

sigmaP' <- coerceSign lidP' lid "anaGmaps1" sigmaP''

(G_sign lidA' sigmaA'' _, _) <- gSigCoerce lg asig (Logic lid)

sigmaA' <- coerceSign lidA' lid "anaGmaps2" sigmaA''

fmap (mkG_morphism lid)

$ ext_induced_from_to_morphism lid rmap sigmaP' sigmaA'

{-

let symI = sym_of lidP sigmaI'

symmap_mor = symmap_of lidP mor

-- are symbols of the imports left untouched?

if Set.all (\sy -> lookupFM symmap_mor sy == Just sy) symI

then return ()

else plain_error () "Fitting morphism must not affect import" pos

-} -- ??? does not work

-- ??? also output some symbol that is affected

anaFitArg :: LogicGraph -> DGraph -> SIMPLE_ID -> MaybeNode -> NodeSig

-> HetcatsOpts -> NodeName -> FIT_ARG

-> Result (FIT_ARG, DGraph, (G_morphism, NodeSig))

anaFitArg lg dg spname nsigI nsigP@(NodeSig nP gsigmaP) opts name fv =

case fv of

Fit_spec asp gsis pos -> do

(sp', nsigA, dg') <- anaSpec False lg dg nsigI name opts (item asp)

(_, Comorphism aid) <-

logicUnion lg (getNodeLogic nsigP) (getNodeLogic nsigA)

let tl = Logic $ targetLogic aid

(nsigA'@(NodeSig nA' gsigA'), dg'') <- coerceNode lg dg' nsigA name tl

(gsigmaP', pmor) <- gSigCoerce lg gsigmaP tl

tmor <- gEmbedComorphism pmor gsigmaP

gmor <- anaGmaps lg opts pos gsigmaP' gsigA' gsis

eGmor <- comp tmor $ gEmbed gmor

return ( Fit_spec (replaceAnnoted sp' asp) gsis pos

, if nP == nA' && isHomInclusion eGmor then dg'' else

insLink dg'' eGmor globalThm (DGLinkInst spname) nP nA'

, (gmor, nsigA'))

Fit_view vn afitargs pos -> case lookupGlobalEnvDG vn dg of

Just (ViewEntry (ExtViewSig (NodeSig nSrc gsigmaS) mor

gs@(ExtGenSig (GenSig _ params _) target@(NodeSig nTar _))))

-> adjustPos pos $ do

GMorphism cid _ _ morHom ind <- return mor

let lid = targetLogic cid

pname = dgn_name $ labDG dg nP

gsigmaI = getMaybeSig nsigI

dg5 <- do

gsigmaIS <- gsigUnion lg gsigmaI gsigmaS

unless (isSubGsign lg gsigmaP gsigmaIS

&& isSubGsign lg gsigmaIS gsigmaP)

(plain_error ()

("Parameter does not match source of fittig view. "

++ "Parameter signature:\n"

++ showDoc gsigmaP

"\nSource signature of fitting view (united with import):\n"

++ showDoc gsigmaIS "") pos)

(dg4, iSrc) <- case nsigI of

EmptyNode _ -> return (dg, nSrc)

JustNode (NodeSig nI _) -> do

inclI <- ginclusion lg gsigmaI gsigmaIS

inclS <- ginclusion lg gsigmaS gsigmaIS

let (NodeSig n' _, dg1) = insGSig dg (extName "View" name)

{xpath = xpath pname} (DGFitView vn) gsigmaIS

dg2 = insLink dg1 inclI globalDef

(DGLinkFitViewImp vn) nI n'

return (insLink dg2 inclS globalDef

(DGLinkFitViewImp vn) nSrc n', n')

gmor <- ginclusion lg gsigmaP gsigmaIS

return $ insLink dg4 gmor globalThm (DGLinkFitView vn) nP iSrc

case (\ x y -> (x, x - y)) (length afitargs) (length params) of

-- the case without parameters leads to a simpler dg

(0, 0) -> return (fv, dg5, (G_morphism lid morHom ind, target))

-- now the case with parameters

(_, 0) -> do

(ffitargs, dg', (gmor_f, _, ns@(NodeSig nA _))) <-

anaAllFitArgs lg opts dg5 (EmptyNode $ Logic lid)

name vn gs afitargs

mor1 <- comp mor gmor_f

GMorphism cid1 _ _ theta _ <- return mor1

let lid1 = targetLogic cid1

when (language_name (sourceLogic cid1) /= language_name lid1)

$ fatal_error "heterogeneous fitting views not yet implemented"

pos

let dg9 = insLink dg' gmor_f globalDef (DGLinkMorph vn) nTar nA

return (Fit_view vn ffitargs pos, dg9, (mkG_morphism lid1 theta, ns))

-- finally the case with conflicting numbers of formal and actual parameters

_ -> fatal_error

(tokStr spname ++ " expects " ++ show (length params) ++ " arguments"

++ " but was given " ++ show (length afitargs)) pos

_ -> fatal_error ("View " ++ tokStr vn ++ " not found") pos

anaFitArgs :: LogicGraph -> HetcatsOpts -> SIMPLE_ID -> MaybeNode

-> ([FIT_ARG], DGraph, [(G_morphism, NodeSig)], NodeName)

-> (NodeSig, FIT_ARG)

-> Result ([FIT_ARG], DGraph, [(G_morphism, NodeSig)], NodeName)

anaFitArgs lg opts spname imps (fas', dg1, args, name') (nsig', fa) = do

let n1 = inc name'

(fa', dg', arg) <- anaFitArg lg dg1 spname imps nsig' opts n1 fa

return (fa' : fas', dg', arg : args, n1)

anaAllFitArgs :: LogicGraph -> HetcatsOpts -> DGraph -> MaybeNode -> NodeName

-> SIMPLE_ID -> ExtGenSig -> [Annoted FIT_ARG]

-> Result ([Annoted FIT_ARG], DGraph, (GMorphism, G_sign, NodeSig))

anaAllFitArgs lg opts dg nsig name spname

gs@(ExtGenSig (GenSig imps params _) _)

afitargs = do

let fitargs = map item afitargs

(fitargs', dg', args, _) <- foldM (anaFitArgs lg opts spname imps)

([], dg, [], extName "Actuals" name) (zip params fitargs)

let actualargs = reverse args

(gsigma', morDelta) <- applyGS lg gs actualargs

gsigmaRes <- gsigUnion lg (getMaybeSig nsig) gsigma'

let (ns, dg2) = insGSig dg' name (DGInst spname) gsigmaRes

dg3 <- foldM (parLink lg nsig (DGLinkInstArg spname) ns) dg2

$ map snd actualargs

return ( zipWith replaceAnnoted (reverse fitargs') afitargs, dg3

, (morDelta, gsigma', ns))

parLink :: LogicGraph -> MaybeNode -> DGLinkOrigin -> NodeSig -> DGraph

-> NodeSig -> Result DGraph

parLink lg nsig orig (NodeSig node gsigma') dg (NodeSig nA_i sigA_i) =

case nsig of

JustNode (NodeSig nI _) | nI == nA_i -> return dg

-- actual parameter will be included via import

_ -> do

incl <- ginclusion lg sigA_i gsigma'

return $ insLink dg incl globalDef orig nA_i node

-- Extension of signature morphisms (for instantitations)

-- first some auxiliary functions

mapID :: Map.Map Id (Set.Set Id) -> Id -> Result Id

mapID idmap i@(Id toks comps pos1) =

case Map.lookup i idmap of

Nothing -> do

compsnew <- mapM (mapID idmap) comps

return (Id toks compsnew pos1)

Just ids -> if Set.null ids then return i else

if Set.null $ Set.deleteMin ids then return $ Set.findMin ids else

plain_error i

("Identifier component " ++ showId i

" can be mapped in various ways:\n"

++ showDoc ids "") $ getRange i

extID1 :: Map.Map Id (Set.Set Id) -> Id

-> Result (EndoMap Id) -> Result (EndoMap Id)

extID1 idmap i@(Id toks comps pos1) m = do

m1 <- m

compsnew <- mapM (mapID idmap) comps

return $ if comps == compsnew then m1 else

Map.insert i (Id toks compsnew pos1) m1

extID :: Set.Set Id -> Map.Map Id (Set.Set Id) -> Result (EndoMap Id)

extID ids idmap = Set.fold (extID1 idmap) (return Map.empty) ids

extendMorphism :: G_sign -- ^ formal parameter

-> G_sign -- ^ body

-> G_sign -- ^ actual parameter

-> G_morphism -- ^ fitting morphism

-> Result(G_sign, G_morphism)

extendMorphism (G_sign lid sigmaP _) (G_sign lidB sigmaB1 _)

(G_sign lidA sigmaA1 _) (G_morphism lidM fittingMor1 _) = do

-- for now, only homogeneous instantiations....

sigmaB@(ExtSign _ sysB) <-

coerceSign lidB lid "Extension of symbol map1" sigmaB1

sigmaA <- coerceSign lidA lid "Extension of symbol map2" sigmaA1

fittingMor <- coerceMorphism lidM lid "Extension of symbol map3" fittingMor1

let symsP = ext_sym_of lid sigmaP

symsB = ext_sym_of lid sigmaB

idsB = Set.map (sym_name lid) symsB

h = symmap_of lid fittingMor

symbMapToRawSymbMap =

Map.foldWithKey (\sy1 sy2 -> Map.insert (symbol_to_raw lid sy1)

(symbol_to_raw lid sy2))

Map.empty

rh = symbMapToRawSymbMap h

idh = Map.foldWithKey

(\sy1 sy2 -> Rel.setInsert (sym_name lid sy1) (sym_name lid sy2))

Map.empty h

idhExt <- extID idsB idh

let rIdExt = Map.foldWithKey (\id1 id2 -> Map.insert

(id_to_raw lid id1) (id_to_raw lid id2))

Map.empty

(foldr Map.delete idhExt $ Map.keys idh)

r = rh `Map.union` rIdExt

-- do we need combining function catching the clashes???

mor <- ext_induced_from_morphism lid r sigmaB

let hmor = symmap_of lid mor

sigmaAD = ExtSign (cod mor) $ Set.map (\ sy ->

Map.findWithDefault sy sy hmor) sysB

sigma <- ext_signature_union lid sigmaA sigmaAD

let illShared = (ext_sym_of lid sigmaA `Set.intersection`

ext_sym_of lid sigmaAD )

Set.\\ Rel.image h symsP

unless (Set.null illShared)

$ plain_error () ("Symbols shared between actual parameter and body"

++ "\nmust be in formal parameter:\n"

++ showDoc illShared "") nullRange

let myKernel = Set.fromDistinctAscList . comb1 . Map.toList

comb1 [] = []

comb1 (p : qs) =

comb2 p qs [] ++ comb1 qs

comb2 _ [] rs = rs

comb2 p@(a, b) ((c, d) : qs) rs =

comb2 p qs $ if b == d then (a, c) : rs else rs

newIdentifications = myKernel hmor Set.\\ myKernel h

unless (Set.null newIdentifications)

$ warning () (

"Fitting morphism may lead to forbidden identifications:\n"

++ showDoc newIdentifications "") nullRange

incl <- ext_inclusion lid sigmaAD sigma

mor1 <- comp mor incl

return (G_sign lid sigma startSigId, mkG_morphism lid mor1)

applyGS :: LogicGraph -> ExtGenSig -> [(G_morphism, NodeSig)]

-> Result(G_sign, GMorphism)

applyGS lg (ExtGenSig (GenSig nsigI _ gsigmaP) nsigB) args = do

let mor_i = map fst args

gsigmaA_i = map (getSig . snd) args

gsigmaB = getSig nsigB

gsigmaA@(G_sign lidA _ _) <- gsigManyUnion lg gsigmaA_i

(Comorphism bid, Comorphism uid) <-

logicUnion lg (getNodeLogic nsigB) (Logic lidA)

let cl = Logic $ targetLogic uid

G_morphism lidG mor0 _ <- case nsigI of

EmptyNode _ -> homogeneousMorManyUnion mor_i

JustNode (NodeSig _ gsigmaI) -> do

(G_sign lidI sigmaI _, _) <- gSigCoerce lg gsigmaI (Logic lidA)

let idI = ext_ide sigmaI

homogeneousMorManyUnion $ mkG_morphism lidI idI : mor_i

(gsigmaP', _) <- gSigCoerce lg (getMaybeSig gsigmaP) cl

(gsigmaB', _) <- gSigCoerce lg gsigmaB cl

(gsigmaA', Comorphism aid) <- gSigCoerce lg gsigmaA cl

mor1 <- coerceMorphism lidG (sourceLogic aid) "applyGS" mor0

mor2 <- map_morphism aid mor1

(gsig, G_morphism gid mor3 mId) <- extendMorphism gsigmaP' gsigmaB' gsigmaA' $

G_morphism (targetLogic aid) mor2 startMorId

case gsigmaB of

G_sign lidB sigB indB -> do

sigB' <- coerceSign lidB (sourceLogic bid) "applyGS2" sigB

mor4 <- coerceMorphism gid (targetLogic bid) "applyGS3" mor3

return (gsig, GMorphism bid sigB' indB mor4 mId)

homogenizeGM :: AnyLogic -> [Syntax.AS_Structured.G_mapping]

-> Result G_symb_map_items_list

homogenizeGM (Logic lid) gsis =

foldM homogenize1 (G_symb_map_items_list lid []) gsis

where

homogenize1 itl2@(G_symb_map_items_list lid2 sis) sm = case sm of

Syntax.AS_Structured.G_symb_map (G_symb_map_items_list lid1 sis1) -> do

sis1' <- coerceSymbMapItemsList lid1 lid2 "" sis1

return $ G_symb_map_items_list lid2 $ sis ++ sis1'

_ -> return itl2

-- | check if structured analysis should be performed

isStructured :: HetcatsOpts -> Bool

isStructured a = case analysis a of

Structured -> True

_ -> False

getSpecAnnos :: Range -> Annoted a -> Result (Conservativity, Bool)

getSpecAnnos pos a = do

let sannos = filter isSemanticAnno $ l_annos a

(sanno1, conflict, impliedA, impliesA) = case sannos of

f@(Semantic_anno anno1 _) : r -> (case anno1 of

SA_cons -> Cons

SA_def -> Def

SA_mono -> Mono

_ -> None, any (/= f) r,

anno1 == SA_implied, anno1 == SA_implies)

_ -> (None, False, False, False)

when conflict $ plain_error () "Conflicting semantic annotations" pos

when impliedA $ plain_error ()

"Annotation %implied should come after a BASIC-ITEM" pos

return (sanno1, impliesA)

-- only consider addSyms for the first spec

anaExtension

:: LogicGraph -> HetcatsOpts -> Range

-> ([SPEC], MaybeNode, DGraph, Conservativity, Bool)

-> (NodeName, Annoted SPEC)

-> Result ([SPEC], MaybeNode, DGraph, Conservativity, Bool)

anaExtension lg opts pos (sps', nsig', dg', conser, addSyms) (name', asp')

= do

(sanno1, impliesA) <- getSpecAnnos pos asp'

-- attach conservativity to definition link

(sp1', nsig1@(NodeSig n1 sig1), dg1) <-

anaSpecTop (max conser sanno1) addSyms lg dg' nsig' name' opts (item asp')

dg2 <- if impliesA then case nsig' of

JustNode (NodeSig n' sig') -> do

-- is the extension going between real nodes?

unless (isHomSubGsign sig1 sig') $ plain_error ()

"Signature must not be extended in presence of %implies" pos

-- insert a theorem link according to p. 319 of the CASL Reference Manual

return $ insLink dg1 (ide sig1) globalThm DGImpliesLink n1 n'

_ -> return dg1

else return dg1

return (sp1' : sps', JustNode nsig1, dg2, None, True)