Implement 3.23 deque

main
Felix Martin 2020-12-20 07:10:04 -05:00
parent ff2d4218f1
commit 8fb9081f86
1 changed files with 100 additions and 9 deletions

View File

@ -92,19 +92,110 @@
((q 'delete))
(assert ((q 'print)) '(c d))
(display "\nex-3.23 - deque\n")
(display "\nex-3.23 - deque\n")
; A deque (``double-ended queue'') is a sequence in which items can be inserted
; and deleted at either the front or the rear. Show how to represent deques
; using pairs, and give implementations of the operations.23 All operations
; should be accomplished in (1) steps.
; make-deque
; empty-deque?
; front-deque
; rear-deque
; front-insert-deque!
; rear-insert-deque!
; front-delete-deque!
; rear-delete-deque!
(define (front-ptr deque) (car deque))
(define (rear-ptr deque) (cdr deque))
(define (set-front-ptr! queue item) (set-car! queue item))
(define (set-rear-ptr! queue item) (set-cdr! queue item))
(define (make-deque) (cons '() '()))
(define (empty-deque? deque) (null? (front-ptr deque)))
(define (make-node item prev-ptr next-ptr)
(cons item (cons prev-ptr next-ptr)))
(define (set-prev-node! node prev-ptr)
(set-car! (cdr node) prev-ptr))
(define (set-next-node! node next-ptr)
(set-cdr! (cdr node) next-ptr))
(define (prev-node node) (car (cdr node)))
(define (next-node node) (cdr (cdr node)))
(define (display-deque deque)
(define (iter-nodes node)
(if (null? node)
'done
(begin
(display (car node))
(if (null? (next-node node))
'do-nothing
(display ", "))
(iter-nodes (next-node node)))))
(display "[")
(iter-nodes (front-ptr deque))
(display "]\n"))
(define (front-deque deque)
(if (empty-deque? deque)
(error "FRONT called with an empty deque")
(car (front-ptr deque))))
(define (rear-deque deque)
(if (empty-deque? deque)
(error "REAR called with an empty deque")
(car (rear-ptr deque))))
(define (front-insert-deque! deque item)
(let ((new-node (make-node item '() '())))
(cond ((empty-deque? deque)
(set-front-ptr! deque new-node)
(set-rear-ptr! deque new-node)
deque)
(else
(set-next-node! new-node (front-ptr deque))
(set-prev-node! (front-ptr deque) new-node)
(set-front-ptr! deque new-node)
deque))))
(define (rear-insert-deque! deque item)
(let ((new-node (make-node item '() '())))
(cond ((empty-deque? deque)
(set-front-ptr! deque new-node)
(set-rear-ptr! deque new-node)
deque)
(else
(set-prev-node! new-node (rear-ptr deque))
(set-next-node! (rear-ptr deque) new-node)
(set-rear-ptr! deque new-node)
deque))))
(define (front-delete-deque! deque)
(cond ((empty-deque? deque)
(error "DELETE! called with an empty deque" deque))
(else
(set-front-ptr! deque (next-node (front-ptr deque)))
(set-prev-node! (front-ptr deque) '())
deque)))
(define (rear-delete-deque! deque)
(cond ((empty-deque? deque)
(error "DELETE! called with an empty deque" deque))
(else
(set-rear-ptr! deque (prev-node (rear-ptr deque)))
(set-next-node! (rear-ptr deque) '())
deque)))
(define d (make-deque))
(front-insert-deque! d 3)
(rear-insert-deque! d 4)
(front-insert-deque! d 2)
(rear-insert-deque! d 5)
(front-insert-deque! d 1)
(rear-insert-deque! d 6)
(display-deque d)
(front-delete-deque! d)
(rear-delete-deque! d)
(front-delete-deque! d)
(rear-delete-deque! d)
(display-deque d)