{- |

Module : $Header$

Description : folding functions for CASL terms and formulas

Copyright : (c) Christian Maeder, Uni Bremen 2005

License : GPLv2 or higher

Maintainer : Christian.Maeder@dfki.de

Stability : provisional

Portability : portable

folding functions for CASL terms and formulas

-}

module CASL.Fold where

import Common.Id

import CASL.AS_Basic_CASL

data Record f a b = Record

{ foldQuantification :: FORMULA f -> QUANTIFIER -> [VAR_DECL] ->

a -> Range -> a

, foldConjunction :: FORMULA f -> [a] -> Range -> a

, foldDisjunction :: FORMULA f -> [a] -> Range -> a

, foldImplication :: FORMULA f -> a -> a -> Bool -> Range -> a

, foldEquivalence :: FORMULA f -> a -> a -> Range -> a

, foldNegation :: FORMULA f -> a -> Range -> a

, foldTrue_atom :: FORMULA f -> Range -> a

, foldFalse_atom :: FORMULA f -> Range -> a

, foldPredication :: FORMULA f -> PRED_SYMB -> [b] -> Range -> a

, foldDefinedness :: FORMULA f -> b -> Range -> a

, foldExistl_equation :: FORMULA f -> b -> b -> Range -> a

, foldStrong_equation :: FORMULA f -> b -> b -> Range -> a

, foldMembership :: FORMULA f -> b -> SORT -> Range -> a

, foldMixfix_formula :: FORMULA f -> b -> a

, foldSort_gen_ax :: FORMULA f -> [Constraint] -> Bool -> a

, foldQuantOp :: FORMULA f -> OP_NAME -> OP_TYPE -> a -> a

, foldQuantPred :: FORMULA f -> PRED_NAME -> PRED_TYPE -> a -> a

, foldExtFORMULA :: FORMULA f -> f -> a

, foldQual_var :: TERM f -> VAR -> SORT -> Range -> b

, foldApplication :: TERM f -> OP_SYMB -> [b] -> Range -> b

, foldSorted_term :: TERM f -> b -> SORT -> Range -> b

, foldCast :: TERM f -> b -> SORT -> Range -> b

, foldConditional :: TERM f -> b -> a -> b -> Range -> b

, foldMixfix_qual_pred :: TERM f -> PRED_SYMB -> b

, foldMixfix_term :: TERM f -> [b] -> b

, foldMixfix_token :: TERM f -> Token -> b

, foldMixfix_sorted_term :: TERM f -> SORT -> Range -> b

, foldMixfix_cast :: TERM f -> SORT -> Range -> b

, foldMixfix_parenthesized :: TERM f -> [b] -> Range -> b

, foldMixfix_bracketed :: TERM f -> [b] -> Range -> b

, foldMixfix_braced :: TERM f -> [b] -> Range -> b

}

mapRecord :: (f -> g) -> Record f (FORMULA g) (TERM g)

mapRecord mf = Record

{ foldQuantification = const Quantification

, foldConjunction = const Conjunction

, foldDisjunction = const Disjunction

, foldImplication = const Implication

, foldEquivalence = const Equivalence

, foldNegation = const Negation

, foldTrue_atom = const True_atom

, foldFalse_atom = const False_atom

, foldPredication = const Predication

, foldDefinedness = const Definedness

, foldExistl_equation = const Existl_equation

, foldStrong_equation = const Strong_equation

, foldMembership = const Membership

, foldMixfix_formula = const Mixfix_formula

, foldSort_gen_ax = const Sort_gen_ax

, foldQuantOp = const QuantOp

, foldQuantPred = const QuantPred

, foldExtFORMULA = \ _ -> ExtFORMULA . mf

, foldQual_var = const Qual_var

, foldApplication = const Application

, foldSorted_term = const Sorted_term

, foldCast = const Cast

, foldConditional = const Conditional

, foldMixfix_qual_pred = const Mixfix_qual_pred

, foldMixfix_term = const Mixfix_term

, foldMixfix_token = const Mixfix_token

, foldMixfix_sorted_term = const Mixfix_sorted_term

, foldMixfix_cast = const Mixfix_cast

, foldMixfix_parenthesized = const Mixfix_parenthesized

, foldMixfix_bracketed = const Mixfix_bracketed

, foldMixfix_braced = const Mixfix_braced

}

constRecord :: (f -> a) -> ([a] -> a) -> a -> Record f a a

constRecord mf join c = Record

{ foldQuantification = \ _ _ _ r _ -> r

, foldConjunction = \ _ l _ -> join l

, foldDisjunction = \ _ l _ -> join l

, foldImplication = \ _ l r _ _ -> join [l, r]

, foldEquivalence = \ _ l r _ -> join [l, r]

, foldNegation = \ _ r _ -> r

, foldTrue_atom = \ _ _ -> c

, foldFalse_atom = \ _ _ -> c

, foldPredication = \ _ _ l _ -> join l

, foldDefinedness = \ _ r _ -> r

, foldExistl_equation = \ _ l r _ -> join [l, r]

, foldStrong_equation = \ _ l r _ -> join [l, r]

, foldMembership = \ _ r _ _ -> r

, foldMixfix_formula = \ _ r -> r

, foldSort_gen_ax = \ _ _ _ -> c

, foldQuantOp = \ _ _ _ a -> a

, foldQuantPred = \ _ _ _ a -> a

, foldExtFORMULA = const mf

, foldQual_var = \ _ _ _ _ -> c

, foldApplication = \ _ _ l _ -> join l

, foldSorted_term = \ _ r _ _ -> r

, foldCast = \ _ r _ _ -> r

, foldConditional = \ _ l f r _ -> join [l, f, r]

, foldMixfix_qual_pred = \ _ _ -> c

, foldMixfix_term = const join

, foldMixfix_token = \ _ _ -> c

, foldMixfix_sorted_term = \ _ _ _ -> c

, foldMixfix_cast = \ _ _ _ -> c

, foldMixfix_parenthesized = \ _ l _ -> join l

, foldMixfix_bracketed = \ _ l _ -> join l

, foldMixfix_braced = \ _ l _ -> join l

}

foldFormula :: Record f a b -> FORMULA f -> a

foldFormula r f = case f of

Quantification q vs e ps -> foldQuantification r f q vs (foldFormula r e) ps

Conjunction fs ps -> foldConjunction r f (map (foldFormula r) fs) ps

Disjunction fs ps -> foldDisjunction r f (map (foldFormula r) fs) ps

Implication f1 f2 b ps -> foldImplication r f (foldFormula r f1)

(foldFormula r f2) b ps

Equivalence f1 f2 ps -> foldEquivalence r f (foldFormula r f1)

(foldFormula r f2) ps

Negation e ps -> foldNegation r f (foldFormula r e) ps

True_atom ps -> foldTrue_atom r f ps

False_atom ps -> foldFalse_atom r f ps

Predication p ts ps -> foldPredication r f p (map (foldTerm r) ts) ps

Definedness t ps -> foldDefinedness r f (foldTerm r t) ps

Existl_equation t1 t2 ps -> foldExistl_equation r f (foldTerm r t1)

(foldTerm r t2) ps

Strong_equation t1 t2 ps -> foldStrong_equation r f (foldTerm r t1)

(foldTerm r t2) ps

Membership t s ps -> foldMembership r f (foldTerm r t) s ps

Mixfix_formula t -> foldMixfix_formula r f (foldTerm r t)

Unparsed_formula s _ -> error $ "Fold.foldFormula.Unparsed" ++ s

Sort_gen_ax cs b -> foldSort_gen_ax r f cs b

QuantOp o t q -> foldQuantOp r f o t $ foldFormula r q

QuantPred p t q -> foldQuantPred r f p t $ foldFormula r q

ExtFORMULA e -> foldExtFORMULA r f e

foldTerm :: Record f a b -> TERM f -> b

foldTerm r = foldOnlyTerm (foldFormula r) r

foldOnlyTerm :: (FORMULA f -> a) -> Record f a b -> TERM f -> b

foldOnlyTerm ff r t = case t of

Qual_var v s ps -> foldQual_var r t v s ps

Application o ts ps -> foldApplication r t o (map (foldOnlyTerm ff r) ts) ps

Sorted_term st s ps -> foldSorted_term r t (foldOnlyTerm ff r st) s ps

Cast ct s ps -> foldCast r t (foldOnlyTerm ff r ct) s ps

Conditional t1 f t2 ps -> foldConditional r t (foldOnlyTerm ff r t1)

(ff f) (foldOnlyTerm ff r t2) ps

Unparsed_term s _ -> error $ "Fold.Unparsed_term" ++ s

Mixfix_qual_pred p -> foldMixfix_qual_pred r t p

Mixfix_term ts -> foldMixfix_term r t (map (foldOnlyTerm ff r) ts)

Mixfix_token s -> foldMixfix_token r t s

Mixfix_sorted_term s ps -> foldMixfix_sorted_term r t s ps

Mixfix_cast s ps -> foldMixfix_cast r t s ps

Mixfix_parenthesized ts ps -> foldMixfix_parenthesized r t

(map (foldOnlyTerm ff r) ts) ps

Mixfix_bracketed ts ps -> foldMixfix_bracketed r t

(map (foldOnlyTerm ff r) ts) ps

Mixfix_braced ts ps -> foldMixfix_braced r t

(map (foldOnlyTerm ff r) ts) ps