3.3.2 Representing Queues

(define (front-ptr queue) (car queue))
(define (rear-ptr queue) (cdr queue))
(define (set-front-ptr! queue item) (set-car! queue item))
(define (set-rear-ptr! queue item) (set-cdr! queue item))

(define (empty-queue? queue) (null? (front-ptr queue)))

(define (make-queue) (cons '() '()))

(define (front-queue queue)
  (if (empty-queue? queue)
    (error "FRONT called with an empty queue" queue)
    (car (front-ptr queue))))

(define (insert-queue! queue item)
  (let ((new-pair (cons item '())))
    (cond ((empty-queue? queue)
           (set-front-ptr! queue new-pair)
           (set-rear-ptr! queue new-pair)
           queue)
          (else
            (set-cdr! (rear-ptr queue) new-pair)
            (set-rear-ptr! queue new-pair)
            queue)))) 

(define (delete-queue! queue)
  (cond ((empty-queue? queue)
         (error "DELETE! called with an empty queue" queue))
        (else
          (set-front-ptr! queue (cdr (front-ptr queue)))
          queue))) 

3.21 (キューの印字)

(define (print-queue queue)
  (display (front-ptr queue))
  (newline))

3.22

(define (make-queue)
  (let ((front-ptr '())
        (rear-ptr '()))
    (define (set-front-ptr! item) (set! front-ptr item))
    (define (set-rear-ptr! item) (set! rear-ptr item))
    (define (empty-queue?) (null? front-ptr))
    (define (front)
      (if (empty-queue?)
        (error "FRONT called with an empty queue")
        (car front-ptr)))
    (define (insert! item)
      (let ((new-pair (cons item '())))
        (cond ((empty-queue?)
               (set-front-ptr! new-pair)
               (set-rear-ptr! new-pair))
              (else
                (set-cdr! rear-ptr new-pair)
                (set-rear-ptr! new-pair))))) 
    (define (delete!)
      (cond ((empty-queue?)
             (error "DELETE! called with an empty queue"))
            (else
              (set-front-ptr! (cdr front-ptr))))) 
    (define (dispatch m)
      (cond ((eq? m 'insert!) insert!)
            ((eq? m 'delete!) delete!)
            ((eq? m 'front) front)
            (else (error "No such method " m))))
    dispatch))

3.23 (dequeの実装)

どうしても綺麗な実装が思い付かなかった…orz

(define nil '())

(define (make-deque)
  (cons (cons '() '())
        (cons '() '())))

(define (deque-front-pointer deque)
  (caar deque))

(define (deque-back-pointer deque)
  (cdar deque))

(define (deque-reverse-front-pointer deque)
  (cadr deque))

(define (deque-reverse-back-pointer deque)
  (cddr deque))

(define (deque-set-front! deque x)
  (set-car! (car deque) x))

(define (deque-set-back! deque x)
  (set-cdr! (car deque) x))

(define (deque-set-reverse-front! deque x)
  (set-car! (cdr deque) x))

(define (deque-set-reverse-back! deque x)
  (set-cdr! (cdr deque) x))

(define (print-deque deque)
  (display (deque-front-pointer deque))
  (newline))

(define (deque-null? deque)
  (null? (deque-front-pointer deque)))

(define (deque-front deque)
  (if (deque-null? deque)
    (error "deque is null")
    (car (deque-front-pointer deque))))

(define (deque-back deque)
  (if (deque-null? deque)
    (error "deque is null")
    (car (deque-back-pointer deque))))

(define (deque-set-singleton! deque x)
  (let ((forward-queue (cons x nil)))
    (deque-set-front! deque forward-queue)
    (deque-set-back! deque forward-queue)
    (let ((reverse-queue (cons (deque-front-pointer deque) nil)))
      (deque-set-reverse-front! deque reverse-queue)
      (deque-set-reverse-back! deque reverse-queue))))

(define (deque-push-front! deque x)
  (if (deque-null? deque)
    (deque-set-singleton! deque x)
    (begin
      (deque-set-front! deque (cons x (deque-front-pointer deque)))
      (let ((new-reverse-back (cons (deque-front-pointer deque) nil)))
        (set-cdr! (deque-reverse-back-pointer deque) new-reverse-back)
        (deque-set-reverse-back! deque new-reverse-back)))))

(define (deque-pop-front! deque)
  (if (deque-null? deque)
    (error "deque is null")
    (let ((front (deque-front deque)))
      (deque-set-front! deque (cdr (deque-front-pointer deque)))
      front)))

(define (deque-push-back! deque x)
  (if (deque-null? deque)
    (deque-set-singleton! deque x)
    (let ((new-back (cons x nil)))
      (set-cdr! (deque-back-pointer deque) new-back)
      (deque-set-back! deque new-back)
      (deque-set-reverse-front! deque (cons (deque-back-pointer deque) (deque-reverse-front-pointer deque))))))

(define (deque-pop-back! deque)
  (if (deque-null? deque)
    (error "deque is null")
    (let ((back (deque-back deque)))
      (deque-set-reverse-front! deque (cdr (deque-reverse-front-pointer deque)))
      (if (null? (deque-reverse-front-pointer deque))
        (deque-set-front! deque nil)
        (begin
          (deque-set-back! deque (car (deque-reverse-front-pointer deque)))
          (set-cdr! (deque-back-pointer deque) nil)))
      back)))