(module set-interface mzscheme (require "../private/require.ss") (require-class) (require-contracts) (require-lists) <<<<<<< .mine (provide set<%> set/c set-of/c set? with-set) ======= (provide set<%> set? set/c non-empty-set/c set-of/c non-empty-set-of/c) >>>>>>> .r178 ;; set<%> : Interface ;; The interface for objects of type (Set Elem) for any type Elem, ;; representing sets of any element type. (define set<%> (interface () ;; (send (Set Elem) elements) : (List Elem) ;; Produces the elements of the set. elements ;; (send (Set Elem) insert Elem) : (Set Elem) ;; Produces a new set containing all elements of the receiver ;; and the given element. If the receiver contained an equivalent ;; element, the prior value is replaced with the new one. insert ;; (send (Set Elem) lookup Elem [(-> T) (Elem -> T)]) : T ;; Looks up an element in the receiver. If an equivalent one is found, ;; the success function is applied to it (returns the element by default). ;; If not found, the failure thunk is applied (returns #f by default). lookup ;; (send (Set Elem) iterator) : (Iterator Elem) ;; Constructs an iterator for the elements of a set. iterator ;; (send (Set Elem) remove Elem) : (Set Elem) ;; Produces a new set containing all elements of the receiver ;; except the given element. Produces a set equivalent to the receiver ;; if the given element is not present. remove ;; (send (Set Elem) select) : (Set Elem) ;; Produces an element from the set. It is an error to ;; use select on an empty set. select ;; (send (Set Elem) empty?) : Boolean ;; Reports whether the set is empty. empty? ;; (send (Set Elem) clear) : (Set Elem) ;; Produces an empty set with the same properties as the receiver. clear ;; (send (Set Elem) size) : NaturalNumber ;; Produces the number of elements in the set. size ;; (send (Set Elem) member? Elem) : Boolean ;; Reports whether an element is a member of a set. member? ;; (send (Set Elem) fold (Elem T -> T) T) : T ;; Builds a result from each element in a set. fold ;; (send (Set Elem) map (Elem -> Elem)) : (Set Elem) ;; Adds the image of each element in the receiver to a new set. map ;; (send (Set Elem) for-each (Elem -> Void)) : Void ;; Performs an action for each element of a set. for-each ;; (send (Set Elem) filter (Elem -> Boolean)) : (Set Elem) ;; Produces a new set containing those elements satisfying the predicate. filter ;; (send (Set Elem) all? (Elem -> Boolean)) : Boolean ;; Reports whether all elements of the set satisfy the predicate. all? ;; (send (Set Elem) any? (Elem -> Boolean)) : Boolean ;; Reports whether any element of the set satisfies the predicate. any? ;; (send (Set Elem) union (Set Elem) [(Elem Elem -> Elem)]) : (Set Elem) ;; Produces a set containing all elements present in either, ;; with an optional function to choose among duplicate elements. union ;; (send (Set Elem) intersection (Set Elem) [(Elem Elem -> Elem)]) ;; : (Set Elem) ;; Produces a set containing all elements present in both, ;; with an optional function to choose among duplicate elements. intersection ;; (send (Set Elem) difference (Set Elem)) : (Set Elem) ;; Produces a set containing all elements present in the receiver ;; but not the argument. difference ;; (send (Set Elem) subset? (Set Elem)) : Boolean ;; Reports whether one set is a subset of another. subset? ;; (send (Set Elem) equal? (Set Elem)) : Boolean ;; Reports whether two sets contain the same elements. equal? )) (define set/c (is-a?/c set<%>)) (define non-empty/c (not/c (lambda (set) (send set empty?)))) (define non-empty-set/c (and/c set/c non-empty/c)) (define (set-of/c elem/c) (and/c set/c (lambda (set) (send set all? (predicate-of elem/c))))) (define (non-empty-set-of/c elem/c) (and/c (set-of/c elem/c) non-empty/c)) ;; set? : Any -> Boolean ;; Reports whether a value is a set. (define (set? v) (is-a? v set<%>)) ; with-set ; todo: - experiment with the syntax ; (allow renaming and/or prefixing ?) ; - check at compile time that method names ; indeed are set methods (define-syntax with-set (syntax-rules () [(with-set a-set (method ...) body body1 ...) (let ([the-set a-set]) (with-method ([method (the-set method)] ...) body body1 ...))])) )