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; Abstraction of a binary tree. Each tree is recursively defined as a list
; with the entry (data), left subtree and right subtree. Left and right can
; be null.
;
(define (entry tree) (car tree))
(define (left-branch tree) (cadr tree))
(define (right-branch tree) (caddr tree))
(define (make-tree entry left right)
(list entry left right))
(define (make-new-set)
'())
(define (element-of-set? x set)
(cond
((null? set) #f)
((= x (entry set)) #t)
((< x (entry set)) (element-of-set? x (left-branch set)))
((> x (entry set)) (element-of-set? x (right-branch set)))))
(define (adjoin-set x set)
(cond
((null? set) (make-tree x '() '()))
((= x (entry set)) set)
((< x (entry set))
(make-tree (entry set)
(adjoin-set x (left-branch set))
(right-branch set)))
((> x (entry set))
(make-tree (entry set)
(left-branch set)
(adjoin-set x (right-branch set))))))
(define myset
(adjoin-set 25
(adjoin-set 13
(adjoin-set 72
(adjoin-set 4 (make-new-set))))))
(write (element-of-set? 4 myset))
(write (element-of-set? 5 myset))
(write (element-of-set? 26 myset))
(write (element-of-set? 25 myset))
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