{-# LANGUAGE MultiParamTypeClasses, TypeSynonymInstances, FlexibleInstances #-}

{- |

Module : $Header$

Description : Comorphism from CASL to OWL2

Copyright : (c) C. Maeder, DFKI GmbH 2012

License : GPLv2 or higher, see LICENSE.txt

Maintainer : Christian.Maeder@dfki.de

Stability : provisional

Portability : non-portable (via Logic.Logic)

-}

module OWL2.CASL2OWL where

import Logic.Logic as Logic

import Logic.Comorphism

import Common.AS_Annotation

import Common.DocUtils

import Common.Result

import Common.Id

import Common.ProofTree

import Common.Utils

import qualified Common.Lib.MapSet as MapSet

import qualified Data.Set as Set

import qualified Data.Map as Map

import Data.List

import Data.Maybe

-- OWL = codomain

import OWL2.Logic_OWL2

import OWL2.MS

import OWL2.AS

import OWL2.ProfilesAndSublogics

import OWL2.ManchesterPrint ()

import OWL2.Morphism

import OWL2.Symbols

import OWL2.Sign as OS

import OWL2.Translate

-- CASL = domain

import CASL.Logic_CASL

import CASL.AS_Basic_CASL

import CASL.Disambiguate

import CASL.Sign as CS

import qualified CASL.MapSentence as MapSen

import CASL.Morphism

import CASL.SimplifySen

import CASL.Sublogic

import CASL.ToDoc

import CASL.Overload

data CASL2OWL = CASL2OWL deriving Show

instance Language CASL2OWL

instance Comorphism

CASL2OWL -- comorphism

CASL -- lid domain

CASL_Sublogics -- sublogics domain

CASLBasicSpec -- Basic spec domain

CASLFORMULA -- sentence domain

SYMB_ITEMS -- symbol items domain

SYMB_MAP_ITEMS -- symbol map items domain

CASLSign -- signature domain

CASLMor -- morphism domain

Symbol -- symbol domain

RawSymbol -- rawsymbol domain

ProofTree -- proof tree domain

OWL2 -- lid codomain

ProfSub -- sublogics codomain

OntologyDocument -- Basic spec codomain

Axiom -- sentence codomain

SymbItems -- symbol items codomain

SymbMapItems -- symbol map items codomain

OS.Sign -- signature codomain

OWLMorphism -- morphism codomain

Entity -- symbol codomain

RawSymb -- rawsymbol codomain

ProofTree -- proof tree codomain

where

sourceLogic CASL2OWL = CASL

sourceSublogic CASL2OWL = caslTop

{ sub_features = LocFilSub }

targetLogic CASL2OWL = OWL2

mapSublogic CASL2OWL _ = Just topS

map_theory CASL2OWL = mapTheory

{- names must be disambiguated as is done in CASL.Qualify or SuleCFOL2SoftFOL.

Ops or preds in the overload relation denote the same objectProperty!

-}

toC :: Id -> ClassExpression

toC = Expression . idToIRI

toO :: Id -> Int -> ObjectPropertyExpression

toO i = ObjectProp . idToNumberedIRI i

toACE :: Id -> (Annotations, ClassExpression)

toACE i = ([], toC i)

toEBit :: Id -> ListFrameBit

toEBit i = ExpressionBit [toACE i]

mkDR :: DomainOrRange -> Id -> FrameBit

mkDR dr = ListFrameBit (Just $ DRRelation dr) . toEBit

mkObjEnt :: String -> Id -> Int -> String -> FrameBit -> Named Axiom

mkObjEnt s i n m = makeNamed (s ++ show i

++ (if n < 0 then "" else '_' : show n) ++ m) . PlainAxiom

(ObjectEntity $ toO i n)

toSubClass :: Id -> [ClassExpression] -> Axiom

toSubClass i = PlainAxiom (ClassEntity $ toC i) . ListFrameBit (Just SubClass)

. ExpressionBit . map (\ c -> ([], c))

getPropSens :: Id -> [SORT] -> Maybe SORT -> [Named Axiom]

getPropSens i args mres = let

ncs = number args

opOrPred = if isJust mres then "op " else "pred "

in makeNamed (opOrPred ++ show i)

(toSubClass i [ObjectJunction IntersectionOf

$ maybeToList (fmap toC mres)

++ map (\ (a, n) -> ObjectValuesFrom SomeValuesFrom

(toO i n) $ toC a) ncs])

: concatMap (\ (a, n) -> let mki = mkObjEnt opOrPred i n in

maybeToList (fmap (mki " domain" . mkDR ADomain) mres)

++ [mki " range" $ mkDR ARange a]) ncs

getPropNames :: (a -> [b]) -> MapSet.MapSet Id a -> Set.Set QName

getPropNames f = Map.foldWithKey (\ i s l ->

case Set.toList s of

[] -> l

h : _ -> Set.union l $ Set.fromList

$ map (idToNumberedIRI i . snd) $ number $ f h)

Set.empty . MapSet.toMap

commonType :: CS.Sign f e -> [[SORT]] -> Result [SORT]

commonType csig l =

case map (keepMaximals csig) $ transpose l of

hl | all (not . null) hl -> return $ map head hl

_ -> fail $ "no common types for " ++ show l

commonOpType :: CS.Sign f e -> Set.Set OpType -> Result OpType

commonOpType csig os = do

l <- commonType csig $ map (\ o -> opRes o : opArgs o) $ Set.toList os

case l of

r : args -> return $ mkTotOpType args r

_ -> fail $ "no common types for " ++ showDoc os ""

commonPredType :: CS.Sign f e -> Set.Set PredType -> Result PredType

commonPredType csig ps = do

args <- commonType csig $ map predArgs $ Set.toList ps

case args of

_ : _ -> return $ PredType args

_ -> fail $ "no common types for " ++ showDoc ps ""

getCommonSupers :: CS.Sign f e -> [SORT] -> Set.Set SORT

getCommonSupers csig s = let supers t = Set.insert t $ supersortsOf t csig in

if null s then Set.empty else foldr1 Set.intersection $ map supers s

keepMaximals :: CS.Sign f e -> [SORT] -> [SORT]

keepMaximals csig = keepMinimals1 True csig id . Set.toList

. getCommonSupers csig

mapSign :: CS.Sign f e -> Result (OS.Sign, [Named Axiom])

mapSign csig = let

esorts = emptySortSet csig

srel = sortRel csig

(eqs, subss) = eqAndSubsorts False srel

(isos, rels) = singleAndRelatedSorts srel

disjSorts = concatMap (\ l -> case l of

_ : _ : _ -> [makeNamed ("disjoint " ++ show l) $ mkMisc Disjoint l]

_ -> []) . sequence $ map (: []) isos ++ map (keepMaximals csig) rels

ss = sortSet csig

nsorts = Set.difference ss esorts

mkMisc ed l = PlainAxiom (Misc []) $ ListFrameBit (Just $ EDRelation ed)

$ ExpressionBit $ map toACE l

eqSorts = map (\ es -> makeNamed ("equal sorts " ++ show es)

$ mkMisc Equivalent es) eqs

subSens = map (\ (s, ts) -> makeNamed

("subsort " ++ show s ++ " of " ++ show ts) $ toSC s ts) subss

nonEmptySens = map (\ s -> mkIndi True s [s]) $ Set.toList nsorts

sortSens = eqSorts ++ disjSorts ++ subSens ++ nonEmptySens

mkIndi b i ts = makeNamed

("individual " ++ show i ++ " of class " ++ showDoc ts "")

$ PlainAxiom (SimpleEntity $ mkEntity NamedIndividual

$ idToAnonIRI b i)

$ ListFrameBit (Just Types) $ ExpressionBit

$ map toACE ts

om = opMap csig

keepMaxs = keepMaximals csig

mk s i = mkObjEnt s i (-1)

toSC i = toSubClass i . map toC

toIris = Set.map idToIRI

(cs, ncs) = MapSet.partition (null . opArgs) om

(sos, os) = MapSet.partition isSingleArgOp ncs

(props, nps) = MapSet.partition (null . predArgs) pm

(sps, rps) = MapSet.partition (isSingle . predArgs) nps

(bps, ps) = MapSet.partition isBinPredType rps

pm = predMap csig

osig = OS.emptySign

{ concepts = toIris $ Set.unions

[ ss, MapSet.keysSet sps, MapSet.keysSet props

, MapSet.keysSet os, MapSet.keysSet ps]

, objectProperties = Set.unions

[ toIris $ Set.union (MapSet.keysSet sos) $ MapSet.keysSet bps

, getPropNames predArgs ps, getPropNames opArgs os ]

, individuals = toIris $ MapSet.keysSet cs

}

in do

s1 <- Map.foldWithKey (\ i s ml -> do

l <- ml

return $ mkIndi False i

(keepMinimals csig id $ map opRes $ Set.toList s) : l)

(return sortSens) (MapSet.toMap cs)

s2 <- Map.foldWithKey (\ i s ml -> do

l <- ml

let sl = Set.toList s

mki = mk "plain function " i

case (keepMaxs $ concatMap opArgs sl, keepMaxs $ map opRes sl) of

([a], [r]) -> return

$ [ mki " character" $ ListFrameBit Nothing

$ ObjectCharacteristics [([], Functional)]

, mki " domain" $ mkDR ADomain a, mki " range" $ mkDR ARange r]

++ l

(as, rs) -> fail $ "CASL2OWL.mapSign2: " ++ show i ++ " args: "

++ show as ++ " resulttypes: " ++ show rs)

(return s1) (MapSet.toMap sos)

s3 <- Map.foldWithKey (\ i s ml -> do

l <- ml

let mkp = mk "binary predicate " i

pTy <- commonPredType csig s

case predArgs pTy of

[a, r] -> return

$ [mkp " domain" $ mkDR ADomain a, mkp " range" $ mkDR ARange r]

++ l

ts -> fail $ "CASL2OWL.mapSign3: " ++ show i ++ " types: " ++ show ts)

(return s2) (MapSet.toMap bps)

s4 <- Map.foldWithKey (\ i s ml ->

case keepMaxs $ concatMap predArgs $ Set.toList s of

[r] -> do

l <- ml

return $ makeNamed ("plain predicate " ++ show i) (toSC i [r]) : l

ts -> fail $ "CASL2OWL.mapSign4: " ++ show i ++ " types: " ++ show ts)

(return s3) (MapSet.toMap sps)

s5 <- Map.foldWithKey (\ i s ml -> do

l <- ml

ot <- commonOpType csig s

return $ getPropSens i (opArgs ot) (Just $ opRes ot) ++ l

) (return s4) (MapSet.toMap os)

s6 <- Map.foldWithKey (\ i s ml -> do

l <- ml

pt <- commonPredType csig s

return $ getPropSens i (predArgs pt) Nothing ++ l

) (return s5) (MapSet.toMap ps)

return (osig, s6)

{- binary predicates and single argument functions should become

objectProperties.

Serge also turned constructors into concepts.

How to treat multi-argument predicates and functions?

Maybe create tuple concepts?

-}

mapTheory :: (FormExtension f, TermExtension f)

=> (CS.Sign f e, [Named (FORMULA f)]) -> Result (OS.Sign, [Named Axiom])

mapTheory (sig, sens) = do

let mor = disambigSig sig

tar = mtarget mor

nss = map (mapNamed $ MapSen.mapMorphForm (const id) mor) sens

(s, l) <- mapSign tar

ll <- mapM (\ ns -> case sentence ns of

Sort_gen_ax cs b -> return $ mapSortGenAx cs b

_ -> flip (hint []) nullRange

. ("not translated\n" ++) . show . printTheoryFormula

$ mapNamed (simplifySen (const return) (const id) tar) ns

) nss

return (s, l ++ concat ll)

mapSortGenAx :: [Constraint] -> Bool -> [Named Axiom]

mapSortGenAx cs b = map (\ (s, as) ->

let is = map (\ (Qual_op_name n ty _) -> case args_OP_TYPE ty of

[] -> ObjectOneOf [idToIRI n]

[_] -> ObjectValuesFrom SomeValuesFrom (toO n (-1)) $ toC s

_ -> toC n) as

in makeNamed ("generated " ++ show s)

$ PlainAxiom (ClassEntity $ toC s)

$ if b && not (isSingle is) then AnnFrameBit [] $ ClassDisjointUnion is

else ListFrameBit (Just $ EDRelation Equivalent)

$ ExpressionBit [([], case is of

[i] -> i

_ -> ObjectJunction UnionOf is)])

$ recoverSortGen cs