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scheme language bottom up mergesort code - Pastebin.com
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- ;; Merge two sorted lists using the given comparator
- (define (merge comparator list1 list2)
- (define (merge01 l1 l2 acc)
- (cond
- ((null? l2) (append (reverse acc) l1))
- ((null? l1) (append (reverse acc) l2))
- ((comparator (car l2) (car l1))
- (merge01 l1 (cdr l2) (cons (car l2) acc)))
- (else
- (merge01 (cdr l1) l2 (cons (car l1) acc)))))
- (merge01 list1 list2 '()))
- ;; Prepare each element as a singleton list
- (define (sort01 jumble)
- (map list jumble))
- ;; Perform one pass of merging adjacent pairs
- (define (sort02 comparator lists)
- (cond
- ((null? lists) '())
- ((null? (cdr lists)) lists)
- (else
- (cons (merge comparator (car lists) (cadr lists))
- (sort02 comparator (cddr lists))))))
- ;; Repeatedly merge until one list remains
- (define (sort03 comparator lists)
- (cond
- ((null? lists) '())
- ((null? (cdr lists)) (car lists))
- (else
- (sort03 comparator (sort02 comparator lists)))))
- ;; Top‐level sort: prepare, merge‐pass, then finalize
- (define (sort comparator jumble)
- (sort03 comparator (sort02 comparator (sort01 jumble))))
- ;; Entry point: sort the sample list in descending order then display
- (define (main)
- (display (sort > '(4 3 5 6 8 7 1 2 9)))
- (newline))
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