{- |

Module : $Header$

Description : Central datastructures for development graphs

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

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

Maintainer : till@informatik.uni-bremen.de

Stability : provisional

Portability : non-portable(Logic)

Central datastructures for development graphs

Follows Sect. IV:4.2 of the CASL Reference Manual.

We also provide functions for constructing and modifying development graphs.

However note that these changes need to be propagated to the GUI if they

also shall be visible in the displayed development graph.

See 'Proofs.EdgeUtils.updateWithChanges'

and 'Proofs.StatusUtils.mkResultProofStatus'.

-}

{-

References:

T. Mossakowski, S. Autexier and D. Hutter:

Extending Development Graphs With Hiding.

H. Hussmann (ed.): Fundamental Approaches to Software Engineering 2001,

Lecture Notes in Computer Science 2029, p. 269-283,

Springer-Verlag 2001.

T. Mossakowski, S. Autexier, D. Hutter, P. Hoffman:

CASL Proof calculus. In: CASL reference manual, part IV.

Available from http://www.cofi.info

-}

module Static.DevGraph where

import Static.GTheory

import Syntax.AS_Library (LIB_NAME)

import Logic.Logic

import Logic.ExtSign

import Logic.Grothendieck

import Logic.Prover

import qualified Common.Lib.Graph as Tree

import qualified Common.OrderedMap as OMap

import qualified Common.InjMap as InjMap

import Common.AS_Annotation

import Common.Doc

import Common.DocUtils

import Common.GlobalAnnotations

import Common.Id

import Control.Concurrent.MVar

import Control.Exception (assert)

import Data.Char (toLower)

import Data.Graph.Inductive.Graph as Graph

import qualified Data.Map as Map

import qualified Data.Set as Set

{- | returns one new node id for the given graph

-}

getNewNode :: Tree.Gr a b -> Node

getNewNode g = case newNodes 1 g of

[n] -> n

_ -> error "Static.DevGraph.getNewNode"

-- * Types for structured specification analysis

-- ??? Some info about the theorems already proved for a node

-- should be added

-- or should it be kept separately?

-- what about open theorems of a node???

-- | name of a node in a DG; auxiliary nodes may have extension string

-- and non-zero number (for these, names are usually hidden)

data NodeName = NodeName SIMPLE_ID String Int deriving (Show, Eq, Ord)

data DGNodeInfo = DGNode

{ node_origin :: DGOrigin -- origin in input language

, node_cons :: Conservativity

, node_cons_status :: Bool }

| DGRef -- reference to node in a different DG

{ ref_libname :: LIB_NAME -- pointer to DG where ref'd node resides

, ref_node :: Node -- pointer to ref'd node

} deriving (Show, Eq)

dgn_origin :: DGNodeLab -> DGOrigin

dgn_origin = node_origin . nodeInfo

dgn_cons :: DGNodeLab -> Conservativity

dgn_cons = node_cons . nodeInfo

dgn_cons_status :: DGNodeLab -> Bool

dgn_cons_status = node_cons_status . nodeInfo

dgn_libname :: DGNodeLab -> LIB_NAME

dgn_libname = ref_libname . nodeInfo

dgn_node :: DGNodeLab -> Node

dgn_node = ref_node . nodeInfo

-- | node inscriptions in development graphs

data DGNodeLab =

DGNodeLab

{ dgn_name :: NodeName -- name in the input language

, dgn_theory :: G_theory -- local theory

, dgn_nf :: Maybe Node -- normal form, for Theorem-Hide-Shift

, dgn_sigma :: Maybe GMorphism -- inclusion of signature into nf signature

, nodeInfo :: DGNodeInfo

, dgn_lock :: Maybe (MVar ())

} deriving (Show, Eq)

instance Show (MVar a) where

show _ = ""

showLNode :: LNode DGNodeLab -> String

showLNode (n, l) = "node " ++ show n ++ ": " ++ getDGNodeType l

dgn_sign :: DGNodeLab -> G_sign

dgn_sign dn = case dgn_theory dn of

G_theory lid sig ind _ _-> G_sign lid sig ind

isInternalNode :: DGNodeLab -> Bool

isInternalNode l@DGNodeLab {dgn_name = n} =

if isDGRef l then null $ show $ getName n else isInternal n

-- | test for 'LeftOpen', return input for refs or no conservativity

hasOpenConsStatus :: Bool -> DGNodeLab -> Bool

hasOpenConsStatus b dgn = if isDGRef dgn then b else

case dgn_cons dgn of

None -> b

_ -> not $ dgn_cons_status dgn

-- | gets the type of a development graph edge as a string

getDGNodeType :: DGNodeLab -> String

getDGNodeType dgnodelab =

(if hasOpenGoals dgnodelab then id else ("locallyEmpty__" ++))

$ if isDGRef dgnodelab then "dg_ref" else

(if hasOpenConsStatus False dgnodelab

then "open_cons__"

else "proven_cons__")

++ if isInternalNode dgnodelab

then "internal"

else "spec"

-- gets the name of a development graph node as a string

getDGNodeName :: DGNodeLab -> String

getDGNodeName dgn = showName $ dgn_name dgn

emptyNodeName :: NodeName

emptyNodeName = NodeName (mkSimpleId "") "" 0

showInt :: Int -> String

showInt i = if i == 0 then "" else show i

showName :: NodeName -> String

showName (NodeName n s i) = let ext = s ++ showInt i in

show n ++ if ext == "" then "" else "_" ++ ext

makeName :: SIMPLE_ID -> NodeName

makeName n = NodeName n "" 0

getName :: NodeName -> SIMPLE_ID

getName (NodeName n _ _) = n

makeMaybeName :: Maybe SIMPLE_ID -> NodeName

makeMaybeName Nothing = emptyNodeName

makeMaybeName (Just n) = makeName n

inc :: NodeName -> NodeName

inc (NodeName n s i) = NodeName n s $ i + 1

isInternal :: NodeName -> Bool

isInternal (NodeName _ s i) = i /= 0 || s /= ""

extName :: String -> NodeName -> NodeName

extName s (NodeName n s1 i) = NodeName n (s1 ++ showInt i ++ s) 0

isDGRef :: DGNodeLab -> Bool

isDGRef l = case nodeInfo l of

DGNode {} -> False

DGRef {} -> True

-- | test if a given node label has local open goals

hasOpenGoals :: DGNodeLab -> Bool

hasOpenGoals dgn =

case dgn_theory dgn of

G_theory _lid _sigma _ sens _->

not $ OMap.null $ OMap.filter

(\s -> not (isAxiom s) && not (isProvenSenStatus s) ) sens

{- | an edge id is represented as a list of ints.

the reason of an edge can have multiple ids is, for example, there exists

an proven edge e1 with id 1 and an unproven edge e2 with id 2 between

two nodes. Now after applying some rules e2 is proven, but it's actually

the same as the proven edge e1, then the proven e2 should not be inserted

into the graph again, but e1 will take e2's id 2 because 2 is probably

saved in some other places. As a result, e1 would have 1 and 2 as its id.

This type can be extended to a more complicated struture, like a tree

suggested by Till.

-}

newtype EdgeId = EdgeId Int deriving (Eq, Ord, Enum, Show)

instance Pretty EdgeId where

pretty (EdgeId i) = pretty i

-- | create a default ID which has to be changed when inserting a certain edge.

defaultEdgeId :: EdgeId

defaultEdgeId = EdgeId (-1)

startEdgeId :: EdgeId

startEdgeId = EdgeId 0

incEdgeId :: EdgeId -> EdgeId

incEdgeId (EdgeId i) = EdgeId (i + 1)

newtype ProofBasis = ProofBasis { proofBasis :: Set.Set EdgeId }

deriving (Eq, Ord, Show)

emptyProofBasis :: ProofBasis

emptyProofBasis = ProofBasis Set.empty

nullProofBasis :: ProofBasis -> Bool

nullProofBasis = Set.null . proofBasis

addEdgeId :: ProofBasis -> EdgeId -> ProofBasis

addEdgeId (ProofBasis s) e = ProofBasis $ Set.insert e s

{- | checks if the given edge is contained in the given proof basis..

-}

roughElem :: LEdge DGLinkLab -> ProofBasis -> Bool

roughElem (_, _, label) = Set.member (dgl_id label) . proofBasis

-- | link inscriptions in development graphs

data DGLinkLab = DGLink

{ dgl_morphism :: GMorphism -- signature morphism of link

, dgl_type :: DGLinkType -- type: local, global, def, thm?

, dgl_origin :: DGLinkOrigin -- origin in input language

, dgl_id :: !EdgeId -- id of the edge

} deriving (Show, Eq)

showLEdge :: LEdge DGLinkLab -> String

showLEdge (source, target, l) =

show (dgl_id l) ++ ": " ++ show source ++ "->" ++ show target

++ " from " ++ show (dgl_origin l)

++ " with type " ++ getDGLinkType l

-- | equality without comparing the edge ids

eqDGLinkLabContent :: DGLinkLab -> DGLinkLab -> Bool

eqDGLinkLabContent l1 l2 = let

i1 = dgl_id l1

i2 = dgl_id l2

in if i1 <= defaultEdgeId || i2 <= defaultEdgeId then

dgl_morphism l1 == dgl_morphism l2

&& dgl_type l1 == dgl_type l2

&& dgl_origin l1 == dgl_origin l2

else let r = eqDGLinkLabContent l1 l2 { dgl_id = defaultEdgeId}

s = i1 == i2

in assert (r == s) s

eqDGLinkLabById :: DGLinkLab -> DGLinkLab -> Bool

eqDGLinkLabById l1 l2 = let

i1 = dgl_id l1

i2 = dgl_id l2

in if i1 > defaultEdgeId && i2 > defaultEdgeId then i1 == i2 else

error "eqDGLinkLabById"

instance Pretty DGLinkLab where

pretty l = vcat

[ text $ show $ dgl_id l

, text "Origin:"

, pretty $ dgl_origin l

, text "Type:"

, pretty $ dgl_type l

, text "Morphism:"

, pretty $ dgl_morphism l ]

{- | the edit operations of the DGraph

-}

data DGChange =

InsertNode (LNode DGNodeLab)

| DeleteNode (LNode DGNodeLab)

| InsertEdge (LEdge DGLinkLab)

| DeleteEdge (LEdge DGLinkLab)

-- it contains the old label and new label with node

| SetNodeLab DGNodeLab (LNode DGNodeLab)

deriving Eq

instance Show DGChange where

show = showDGChange

showDGChange :: DGChange -> String

showDGChange c = case c of

DeleteEdge e -> "delete " ++ showLEdge e

InsertEdge e -> "insert " ++ showLEdge e

InsertNode n -> "insert " ++ showLNode n

DeleteNode n -> "delete " ++ showLNode n

SetNodeLab l n -> "change '" ++ getDGNodeType l ++ "' to " ++ showLNode n

-- | Link types of development graphs

-- Sect. IV:4.2 of the CASL Reference Manual explains them in depth

data DGLinkType = LocalDef

| GlobalDef

| HidingDef

| FreeDef MaybeNode -- the "parameter" node

| CofreeDef MaybeNode -- the "parameter" node

| LocalThm ThmLinkStatus Conservativity ThmLinkStatus

-- ??? Some more proof information is needed here

-- (proof tree, ...)

| GlobalThm ThmLinkStatus Conservativity ThmLinkStatus

| HidingThm GMorphism ThmLinkStatus

| FreeThm GMorphism ThmLinkStatus

-- DGLink S1 S2 m2 (DGLinkType m1 p) n

-- corresponds to a span of morphisms

-- S1 <--m1-- S --m2--> S2

deriving (Show, Eq)

thmLinkStatus :: DGLinkType -> Maybe ThmLinkStatus

thmLinkStatus (LocalThm s _ _) = Just s

thmLinkStatus (GlobalThm s _ _) = Just s

thmLinkStatus (HidingThm _ s) = Just s

thmLinkStatus (FreeThm _ s) = Just s

thmLinkStatus _ = Nothing

instance Pretty DGLinkType where

pretty t = text $ case t of

LocalDef -> "LocalDef"

GlobalDef -> "GlobalDef"

HidingDef -> "HidingDef"

FreeDef _ -> "FreeDef"

CofreeDef _ -> "CofreeDef"

LocalThm s _ _ -> "LocalThm" ++ getThmTypeAux s

GlobalThm s _ _ -> "GlobalThm" ++ getThmTypeAux s

HidingThm _ s -> "HidingThm" ++ getThmTypeAux s

FreeThm _ s -> "FreeThm" ++ getThmTypeAux s

-- | describe the link type of the label

getDGLinkType :: DGLinkLab -> String

getDGLinkType lnk = let

isHom = isHomogeneous $ dgl_morphism lnk

het = if isHom then id else ("het" ++)

in case dgl_morphism lnk of

GMorphism cid _ _ _ _ ->

case dgl_type lnk of

GlobalDef -> if isHom then "globaldef" ++ inc'

else "hetdef" ++ inc'

HidingDef -> "hidingdef" ++ inc'

LocalThm s _ _ -> het "local" ++ getThmType s ++ "thm" ++ inc'

GlobalThm s _ _ -> het $ getThmType s ++ "thm" ++ inc'

HidingThm _ s -> getThmType s ++ "hidingthm" ++ inc'

FreeThm _ s -> getThmType s ++ "thm" ++ inc'

LocalDef -> "localdef" ++ inc'

_ -> "def" ++ inc' -- FreeDef, CofreeDef

where

inc' = if isInclComorphism $ Comorphism cid then "Inc" else ""

-- | Conservativity annotations. For compactness, only the greatest

-- applicable value is used in a DG

data Conservativity = None | Cons | Mono | Def deriving (Eq, Ord)

instance Show Conservativity where

show None = ""

show Cons = "Cons"

show Mono = "Mono"

show Def = "Def"

-- | Rules in the development graph calculus,

-- Sect. IV:4.4 of the CASL Reference Manual explains them in depth

data DGRule =

TheoremHideShift

| HideTheoremShift (LEdge DGLinkLab)

| ComputeColimit

| Borrowing

| ConsShift

| DefShift

| MonoShift

| DefToMono

| MonoToCons

| FreeIsMono

| MonoIsFree

| GlobDecomp (LEdge DGLinkLab) -- edge in the conclusion

| LocDecomp (LEdge DGLinkLab)

| LocInference (LEdge DGLinkLab)

| GlobSubsumption (LEdge DGLinkLab)

| Composition [LEdge DGLinkLab]

| LocalInference

| BasicInference AnyComorphism BasicProof -- coding and proof tree. obsolete?

| BasicConsInference Edge BasicConsProof

deriving (Show, Eq)

instance Pretty DGRule where

pretty r = case r of

TheoremHideShift -> text "Theorem-Hide-Shift"

HideTheoremShift l -> text "Hide-Theorem-Shift; resulting link:"

<+> printLEdgeInProof l

Borrowing -> text "Borrowing"

ComputeColimit -> text"ComputeColimit"

ConsShift -> text "Cons-Shift"

DefShift -> text "Def-Shift"

MonoShift -> text "Mono-Shift"

DefToMono -> text "DefToMono"

MonoToCons -> text "MonoToCons"

FreeIsMono -> text "FreeIsMono"

MonoIsFree -> text "MonoIsFree"

GlobDecomp l -> text "Global Decomposition; resulting link:"

<+> printLEdgeInProof l

LocDecomp l -> text "Local Decomposition; resulting link:"

<+> printLEdgeInProof l

LocInference l -> text "Local Inference; resulting link:"

<+> printLEdgeInProof l

GlobSubsumption l -> text "Global Subsumption; resulting link:"

<+> printLEdgeInProof l

Composition ls ->

text "Composition" <+> vcat (map printLEdgeInProof ls)

LocalInference -> text "Local Inference"

BasicInference c bp -> text "Basic Inference using:"

<+> text ("Comorphism: "++show c ++ "Proof tree: "++show bp)

BasicConsInference _ bp -> text "Basic Cons-Inference using:"

<+> text (show bp)

printLEdgeInProof :: LEdge DGLinkLab -> Doc

printLEdgeInProof (s,t,l) =

pretty s <> text "-->" <> pretty t <> text ":" <+> printLabInProof l

printLabInProof :: DGLinkLab -> Doc

printLabInProof l = fsep

[ pretty (dgl_type l)

, text "with origin:"

, pretty (dgl_origin l) <> comma

, text "and morphism:"

, pretty (dgl_morphism l) ]

data BasicConsProof = BasicConsProof deriving (Show, Eq) -- needs more details

data ThmLinkStatus = LeftOpen | Proven DGRule ProofBasis deriving (Show, Eq)

isProvenThmLinkStatus :: ThmLinkStatus -> Bool

isProvenThmLinkStatus tls = case tls of

LeftOpen -> False

_ -> True

instance Pretty ThmLinkStatus where

pretty tls = case tls of

LeftOpen -> text "Open"

Proven r ls -> fsep

[ text "Proven with rule"

, pretty r

, text "Proof based on links:"

, pretty $ Set.toList $ proofBasis ls ]

-- | shows short theorem link status

getThmType :: ThmLinkStatus -> String

getThmType = map toLower . getThmTypeAux

getThmTypeAux :: ThmLinkStatus -> String

getThmTypeAux s = if isProvenThmLinkStatus s then "Proven" else "Unproven"

{- | Data type indicating the origin of nodes and edges in the input language

This is not used in the DG calculus, only may be used in the future

for reconstruction of input and management of change. -}

data DGOrigin =

DGEmpty

| DGBasic

| DGExtension

| DGTranslation

| DGUnion

| DGHiding

| DGRevealing

| DGRevealTranslation

| DGFree

| DGCofree

| DGLocal

| DGClosed

| DGLogicQual

| DGData

| DGFormalParams

| DGImports

| DGSpecInst SIMPLE_ID

| DGFitSpec

| DGFitView SIMPLE_ID

| DGFitViewA SIMPLE_ID

| DGProof

| DGintegratedSCC

deriving Eq

instance Show DGOrigin where

show o = case o of

DGEmpty -> "empty specification"

DGBasic -> "basic specification"

DGExtension -> "extension"

DGTranslation -> "translation"

DGUnion -> "union"

DGHiding -> "hiding"

DGRevealing -> "revealing"

DGRevealTranslation -> "translation part of a revealing"

DGFree -> "free specification"

DGCofree -> "cofree specification"

DGLocal -> "local specification"

DGClosed -> "closed specification"

DGLogicQual -> "specification with logic qualifier"

DGData -> "data specification"

DGFormalParams -> "formal parameters of a generic specification"

DGImports -> "imports of a generic specification"

DGSpecInst n -> "instantiation of " ++ tokStr n

DGFitSpec -> "fittig specification"

DGFitView n -> "fitting view " ++ tokStr n

DGFitViewA n -> "fitting view (actual parameters) " ++ tokStr n

DGProof -> "proof construct"

DGintegratedSCC -> "OWL spec with integrated strongly connected components"

instance Pretty DGOrigin where

pretty = text . show

data DGLinkOrigin =

SeeTarget

| SeeSource

| DGLinkExtension

| DGLinkTranslation

| DGLinkClosedLenv

| DGLinkImports

| DGLinkSpecInst SIMPLE_ID

| DGLinkFitSpec

| DGLinkView SIMPLE_ID

| DGLinkFitView SIMPLE_ID

| DGLinkFitViewImp SIMPLE_ID

| DGLinkFitViewAImp SIMPLE_ID

| DGLinkProof

deriving Eq

instance Show DGLinkOrigin where

show o = case o of

SeeTarget -> "see target"

SeeSource -> "see source"

DGLinkExtension -> "extension"

DGLinkTranslation -> "OMDoc translation"

DGLinkClosedLenv -> "closed specification (inclusion of local environment)"

DGLinkImports -> "OWL imports of a generic specification"

DGLinkSpecInst n -> "instantiation link of " ++ tokStr n

DGLinkFitSpec -> "fittig specification link"

DGLinkView n -> "view " ++ tokStr n

DGLinkFitView n -> "fitting view to" ++ tokStr n

DGLinkFitViewImp n -> "fitting view (imports) " ++ tokStr n

DGLinkFitViewAImp n ->

"fitting view (imports and actual parameters) " ++ tokStr n

DGLinkProof -> "proof construct"

instance Pretty DGLinkOrigin where

pretty = text . show

-- | Node with signature in a DG

data NodeSig = NodeSig Node G_sign deriving (Show, Eq)

{- | NodeSig or possibly the empty sig in a logic

(but since we want to avoid lots of vacuous nodes with empty sig,

we do not assign a real node in the DG here) -}

data MaybeNode = JustNode NodeSig | EmptyNode AnyLogic deriving (Show, Eq)

instance Pretty NodeSig where

pretty (NodeSig n sig) =

text "node" <+> pretty n <> colon <> pretty sig

emptyG_sign :: AnyLogic -> G_sign

emptyG_sign (Logic lid) = G_sign lid (ext_empty_signature lid) 0

getSig :: NodeSig -> G_sign

getSig (NodeSig _ sigma) = sigma

getNode :: NodeSig -> Node

getNode (NodeSig n _) = n

getMaybeSig :: MaybeNode -> G_sign

getMaybeSig (JustNode ns) = getSig ns

getMaybeSig (EmptyNode l) = emptyG_sign l

getLogic :: MaybeNode -> AnyLogic

getLogic (JustNode ns) = getNodeLogic ns

getLogic (EmptyNode l) = l

getNodeLogic :: NodeSig -> AnyLogic

getNodeLogic (NodeSig _ (G_sign lid _ _)) = Logic lid

newNodeInfo :: DGOrigin -> DGNodeInfo

newNodeInfo orig = DGNode

{ node_origin = orig

, node_cons = None

, node_cons_status = False }

newRefInfo :: LIB_NAME -> Node -> DGNodeInfo

newRefInfo ln n = DGRef

{ ref_libname = ln

, ref_node = n }

newInfoNodeLab :: NodeName -> DGNodeInfo -> G_theory -> DGNodeLab

newInfoNodeLab name info gTh = DGNodeLab

{ dgn_name = name

, dgn_theory = gTh

, dgn_nf = Nothing

, dgn_sigma = Nothing

, nodeInfo = info

, dgn_lock = Nothing }

-- | create a new node label

newNodeLab :: NodeName -> DGOrigin -> G_theory -> DGNodeLab

newNodeLab name orig = newInfoNodeLab name $ newNodeInfo orig

-- import, formal parameters and united signature of formal params

data GenericitySig = GenericitySig MaybeNode [NodeSig] MaybeNode deriving Show

-- import, formal parameters, united signature of formal params, body

data ExtGenSig = ExtGenSig MaybeNode [NodeSig] G_sign NodeSig deriving Show

-- source, morphism, parameterized target

data ExtViewSig = ExtViewSig NodeSig GMorphism ExtGenSig deriving Show

-- * Types for architectural and unit specification analysis

-- (as defined for basic static semantics in Chap. III:5.1)

data UnitSig = UnitSig NodeSig | ParUnitSig [NodeSig] NodeSig deriving Show

data ImpUnitSigOrSig = ImpUnitSig MaybeNode UnitSig | Sig NodeSig deriving Show

type StUnitCtx = Map.Map SIMPLE_ID ImpUnitSigOrSig

emptyStUnitCtx :: StUnitCtx

emptyStUnitCtx = Map.empty

data ArchSig = ArchSig StUnitCtx UnitSig deriving Show

-- * Types for global and library environments

data GlobalEntry =

SpecEntry ExtGenSig

| ViewEntry ExtViewSig

| ArchEntry ArchSig

| UnitEntry UnitSig

| RefEntry

deriving Show

type GlobalEnv = Map.Map SIMPLE_ID GlobalEntry

emptyHistory :: ([DGRule], [DGChange])

emptyHistory = ([], [])

type ProofHistory = [([DGRule], [DGChange])]

{- | the actual development graph with auxiliary information. A

'G_sign' should be stored in 'sigMap' under its 'gSignSelfIdx'. The

same applies to 'G_morphism' with 'morMap' and 'gMorphismSelfIdx'

resp. 'G_theory' with 'thMap' and 'gTheorySelfIdx'. -}

data DGraph = DGraph

{ globalAnnos :: GlobalAnnos -- ^ global annos of library

, globalEnv :: GlobalEnv -- ^ name entities (specs, views) of a library

, dgBody :: Tree.Gr DGNodeLab DGLinkLab -- ^ actual 'DGraph` tree

, getNewEdgeId :: !EdgeId -- ^ edge counter

, refNodes :: InjMap.InjMap Node (LIB_NAME, Node) -- ^ unexpanded 'DGRef's

, sigMap :: Map.Map Int G_sign -- ^ signature map

, thMap :: Map.Map Int G_theory -- ^ morphism map

, morMap :: Map.Map Int G_morphism -- ^ theory map

, proofHistory :: ProofHistory -- ^ applied proof steps

, redoHistory :: ProofHistory -- ^ undone proofs steps

, openlock :: Maybe (MVar (IO ())) -- ^ control of graph display

} deriving Show

emptyDG :: DGraph

emptyDG = DGraph

{ globalAnnos = emptyGlobalAnnos

, globalEnv = Map.empty

, dgBody = Graph.empty

, getNewEdgeId = startEdgeId

, refNodes = InjMap.empty

, sigMap = Map.empty

, thMap = Map.empty

, morMap = Map.empty

, proofHistory = [emptyHistory]

, redoHistory = [emptyHistory]

, openlock = Nothing

}

emptyDGwithMVar :: IO DGraph

emptyDGwithMVar = do

ol <- newEmptyMVar

return $ emptyDG {openlock = Just ol}

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

-- some set functions

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

setSigMapDG :: Map.Map Int G_sign -> DGraph -> DGraph

setSigMapDG m dg = dg{sigMap = m}

setThMapDG :: Map.Map Int G_theory -> DGraph -> DGraph

setThMapDG m dg = dg{thMap = m}

setMorMapDG :: Map.Map Int G_morphism -> DGraph -> DGraph

setMorMapDG m dg = dg{morMap = m}

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

-- some lookup functions

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

lookupSigMapDG :: Int -> DGraph -> Maybe G_sign

lookupSigMapDG i = Map.lookup i . sigMap

lookupThMapDG :: Int -> DGraph -> Maybe G_theory

lookupThMapDG i = Map.lookup i . thMap

lookupMorMapDG :: Int -> DGraph -> Maybe G_morphism

lookupMorMapDG i = Map.lookup i . morMap

lookupGlobalEnvDG :: SIMPLE_ID -> DGraph -> Maybe GlobalEntry

lookupGlobalEnvDG sid = Map.lookup sid . globalEnv

getMapAndMaxIndex :: (b -> Map.Map Int a) -> b -> (Map.Map Int a, Int)

getMapAndMaxIndex f gctx =

let m = f gctx in (m, if Map.null m then 0 else fst $ Map.findMax m)

sigMapI :: DGraph -> (Map.Map Int G_sign, Int)

sigMapI = getMapAndMaxIndex sigMap

morMapI :: DGraph -> (Map.Map Int G_morphism, Int)

morMapI = getMapAndMaxIndex morMap

thMapI :: DGraph -> (Map.Map Int G_theory, Int)

thMapI = getMapAndMaxIndex thMap

type LibEnv = Map.Map LIB_NAME DGraph

-- | an empty environment

emptyLibEnv :: LibEnv

emptyLibEnv = Map.empty

-- | returns the DGraph that belongs to the given library name

lookupDGraph :: LIB_NAME -> LibEnv -> DGraph

lookupDGraph ln = Map.findWithDefault (error "lookupDGraph") ln

isProvenSenStatus :: SenStatus a (AnyComorphism, BasicProof) -> Bool

isProvenSenStatus = any isProvenSenStatusAux . thmStatus

where isProvenSenStatusAux (_, BasicProof _ pst) = isProvedStat pst

isProvenSenStatusAux _ = False

-- | get the available node id

getNewNodeDG :: DGraph -> Node

getNewNodeDG = getNewNode . dgBody

-- | delete the node out of the given DG

delNodeDG :: Node -> DGraph -> DGraph

delNodeDG n dg = dg { dgBody = delNode n $ dgBody dg }

-- | delete the LNode out of the given DG

delLNodeDG :: LNode DGNodeLab -> DGraph -> DGraph

delLNodeDG n@(v, l) g = case matchDG v g of

(Just(p, _, l', s), g') ->

if l' == l then

if null p && null s then g'

else error $ "delLNodeDG remaining edges: " ++ show (p ++ s)

else error $ "delLNodeDG wrong label: " ++ show n

_ -> error $ "delLNodeDG no such node: " ++ show n

-- | delete a list of nodes out of the given DG

delNodesDG :: [Node] -> DGraph -> DGraph

delNodesDG ns dg = dg { dgBody = delNodes ns $ dgBody dg }

-- | insert a new node into given DGraph

insNodeDG :: LNode DGNodeLab -> DGraph -> DGraph

insNodeDG n dg = dg { dgBody = insNode n $ dgBody dg }

-- | add a new referenced node into the refNodes map of the given DG

addToRefNodesDG :: Node -> DGNodeInfo -> DGraph -> DGraph

addToRefNodesDG n ref dg = case ref of

DGRef { ref_libname = libn, ref_node = refn } ->

dg { refNodes = InjMap.insert n (libn, refn) $ refNodes dg }

_ -> error "addToRefNodesDG"

-- | delete the given referenced node out of the refnodes map

deleteFromRefNodesDG :: Node -> DGraph -> DGraph

deleteFromRefNodesDG n dg = dg { refNodes = InjMap.deleteA n $ refNodes dg }

-- | lookup a referenced node with a node id

lookupInRefNodesDG :: Node -> DGraph -> Maybe (LIB_NAME, Node)

lookupInRefNodesDG n = InjMap.lookupWithA n . refNodes

-- | look up a refernced node with its parent infor.

lookupInAllRefNodesDG :: DGNodeInfo -> DGraph -> Maybe Node

lookupInAllRefNodesDG ref = case ref of

DGRef { ref_libname = libn, ref_node = refn } ->

InjMap.lookupWithB (libn, refn) . refNodes

_ -> error "lookupInAllRefNodesDG"

-- | inserts a lnode into a given DG

insLNodeDG :: LNode DGNodeLab -> DGraph -> DGraph

insLNodeDG n@(v, _) g =

if gelemDG v g then error $ "insLNodeDG " ++ show v else insNodeDG n g

-- | insert a new node with the given node content into a given DGraph

insNodesDG :: [LNode DGNodeLab] -> DGraph -> DGraph

insNodesDG ns dg = dg { dgBody = insNodes ns $ dgBody dg }

-- | delete an edge out of a given DG

delEdgeDG :: Edge -> DGraph -> DGraph

delEdgeDG e dg = dg { dgBody = delEdge e $ dgBody dg }

-- | delete a list of edges

delEdgesDG :: [Edge] -> DGraph -> DGraph

delEdgesDG es dg = dg { dgBody = delEdges es $ dgBody dg }

-- | delete a labeled edge out of the given DG

delLEdgeDG :: LEdge DGLinkLab -> DGraph -> DGraph

delLEdgeDG e g = g

{ dgBody = Tree.delLEdge (\ l1 l2 -> compare (dgl_id l1) $ dgl_id l2) e

$ dgBody g }

-- | insert a labeled edge into a given DG

insLEdgeDG :: LEdge DGLinkLab -> DGraph -> DGraph

insLEdgeDG e@(_, _, l) g =

if dgl_id l == defaultEdgeId then error "insLEdgeDG" else g

{ getNewEdgeId = incEdgeId $ getNewEdgeId g

, dgBody = Tree.insLEdge True (\ l1 l2 ->

if eqDGLinkLabContent l1 { dgl_id = defaultEdgeId } l2

then EQ else compare (dgl_id l1) $ dgl_id l2) e $ dgBody g }

{- | tries to insert a labeled edge into a given DG, but if this edge

already exists, then does nothing

-}

insLEdgeNubDG :: LEdge DGLinkLab -> DGraph -> DGraph

insLEdgeNubDG (v, w, l) g = let oldEdgeId = getNewEdgeId g in g

{ getNewEdgeId = incEdgeId oldEdgeId

, dgBody = Tree.insLEdge False (\ l1 l2 ->

if eqDGLinkLabContent l1 { dgl_id = defaultEdgeId } l2

then EQ else compare (dgl_id l1) $ dgl_id l2)

(v, w, l { dgl_id = oldEdgeId }) $ dgBody g }

-- | insert an edge into the given DGraph, which updates

-- the graph body and the edge counter as well.

insEdgeDG :: LEdge DGLinkLab -> DGraph -> DGraph

insEdgeDG l oldDG =

oldDG { dgBody = insEdge l $ dgBody oldDG

, getNewEdgeId = incEdgeId $ getNewEdgeId oldDG }

-- | insert a list of labeled edge into a given DG

insEdgesDG :: [LEdge DGLinkLab] -> DGraph -> DGraph

insEdgesDG = flip $ foldr insEdgeDG

-- | get all the edges

labEdgesDG :: DGraph -> [LEdge DGLinkLab]

labEdgesDG = labEdges . dgBody

-- | get all the nodes

labNodesDG :: DGraph -> [LNode DGNodeLab]

labNodesDG = labNodes . dgBody

-- | get the context of the given DG

contextDG :: DGraph -> Node -> Context DGNodeLab DGLinkLab

contextDG = context . dgBody

-- | merge a list of lnodes and ledges into a given DG

mkGraphDG :: [LNode DGNodeLab] -> [LEdge DGLinkLab] -> DGraph -> DGraph

mkGraphDG ns ls dg = insEdgesDG ls $ insNodesDG ns dg

-- | tear the given DGraph appart.

matchDG :: Node -> DGraph -> (MContext DGNodeLab DGLinkLab, DGraph)

matchDG n dg = let (mc, b) = match n $ dgBody dg in(mc, dg { dgBody = b })

-- | checks if a DG is empty or not.

isEmptyDG :: DGraph -> Bool

isEmptyDG = isEmpty . dgBody

-- | checks if a given node belongs to a given DG

gelemDG :: Node -> DGraph -> Bool

gelemDG n = (gelem n) . dgBody

-- | get the number of nodes of a given DG

noNodesDG :: DGraph -> Int

noNodesDG = noNodes . dgBody

-- | get all nodes which links to the given node in a given DG

preDG :: DGraph -> Node -> [Node]

preDG = pre . dgBody

-- | get all the incoming ledges of the given node in a given DG

innDG :: DGraph -> Node -> [LEdge DGLinkLab]

innDG = inn . dgBody

-- | get all the outgoing ledges of the given node in a given DG

outDG :: DGraph -> Node -> [LEdge DGLinkLab]

outDG = out . dgBody

-- | get all the nodes of the given DG

nodesDG :: DGraph -> [Node]

nodesDG = nodes . dgBody

-- | get all the edges of the given DG

edgesDG :: DGraph -> [Edge]

edgesDG = edges . dgBody

-- | tries to get the label of the given node in a given DG

labDG :: DGraph -> Node -> DGNodeLab

labDG dg = maybe (error "labDG") id . lab (dgBody dg)

-- | gets the given number of new node-ids in a given DG.

newNodesDG :: Int -> DGraph -> [Node]

newNodesDG n = newNodes n . dgBody

-- | safe context for graphs

safeContext :: (Show a, Show b, Graph gr) => String -> gr a b -> Node

-> Context a b

safeContext err g v =

maybe (error $ err ++ ": Match Exception, Node: " ++ show v) id

$ fst $ match v g

-- | get the context and throw input string as error message

safeContextDG :: String -> DGraph -> Node -> Context DGNodeLab DGLinkLab

safeContextDG s dg n = safeContext s (dgBody dg) n

-- | sets the node with new label and returns the new graph and the old label

labelNodeDG :: LNode DGNodeLab -> DGraph -> (DGraph, DGNodeLab)

labelNodeDG p g =

let (b, l) = Tree.labelNode p $ dgBody g in (g { dgBody = b }, l)

-- | add a proof history into current one of the given DG

setProofHistoryDG :: ProofHistory -> DGraph -> DGraph

setProofHistoryDG h dg = dg { proofHistory = h ++ proofHistory dg }

-- | add a history item into current history.

addToProofHistoryDG :: ([DGRule], [DGChange]) -> DGraph -> DGraph

addToProofHistoryDG x dg = dg { proofHistory = x : proofHistory dg }

-- | update the proof history with a function

setProofHistoryWithDG :: (ProofHistory -> ProofHistory)

-> DGraph -> DGraph

setProofHistoryWithDG f dg = dg { proofHistory = f $ proofHistory dg }

-- | wrapper to access the maybe lock

treatNodeLock :: (MVar () -> a) -> DGNodeLab -> a

treatNodeLock f = maybe (error "MVar not initialised") f . dgn_lock

{- | Acquire the local lock. If already locked it waits till it is unlocked

again.-}

lockLocal :: DGNodeLab -> IO ()

lockLocal = treatNodeLock $ flip putMVar ()

-- | Tries to acquire the local lock. Return False if already acquired.

tryLockLocal :: DGNodeLab -> IO Bool

tryLockLocal = treatNodeLock $ flip tryPutMVar ()

-- | Releases the local lock.

unlockLocal :: DGNodeLab -> IO ()

unlockLocal = treatNodeLock $ \ lock ->

tryTakeMVar lock >>= maybe (error "Local lock wasn't locked.") return

-- | initializes the MVar for locking if nessesary

initLocking :: DGraph -> LNode DGNodeLab -> IO (DGraph, DGNodeLab)

initLocking dg (node, dgn) = do

lock <- newEmptyMVar

let dgn' = dgn{dgn_lock = Just lock}

return (fst $ labelNodeDG (node, dgn') dg, dgn')

-- | checks if locking MVar is initialized

hasLock :: DGNodeLab -> Bool

hasLock = maybe False (const True) . dgn_lock