ikarus/src/ikarus.sort.ss

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2007-09-04 12:56:40 -04:00
(library (ikarus.sort)
(export list-sort vector-sort)
(import
(ikarus system $fx)
(except (ikarus) list-sort vector-sort))
(define (merge1 <? a1 ls1 ls2)
(cond
[(null? ls2) ls1]
[else
(let ([a2 (car ls2)])
(cond
[(<? a2 a1)
(cons a2 (merge1 <? a1 ls1 (cdr ls2)))]
[else
(cons a1 (merge2 <? a2 (cdr ls1) ls2))]))]))
(define (merge2 <? a2 ls1 ls2)
(cond
[(null? ls1) ls2]
[else
(let ([a1 (car ls1)])
(cond
[(<? a2 a1)
(cons a2 (merge1 <? a1 ls1 (cdr ls2)))]
[else
(cons a1 (merge2 <? a2 (cdr ls1) ls2))]))]))
(define (merge <? ls1 ls2)
(cond
[(null? ls2) ls1]
[else
(let ([a1 (car ls1)] [a2 (car ls2)])
(cond
[(<? a2 a1)
(cons a2 (merge1 <? a1 ls1 (cdr ls2)))]
[else
(cons a1 (merge2 <? a2 (cdr ls1) ls2))]))]))
(define (sort-head <? ls n)
(cond
[($fx= n 0) (values '() ls)]
[($fx= n 1)
(values (cons (car ls) '()) (cdr ls))]
[else
(let-values ([(sorted-head tail)
(sort-head <? ls ($fxsra n 1))])
(let-values ([(sorted-tail tail)
(sort-head <? tail ($fx- n ($fxsra n 1)))])
(values (merge <? sorted-head sorted-tail) tail)))]))
(define (sort-tail <? ls n)
(cond
[($fx<= n 1) ls]
[else
(let-values ([(sorted-head tail)
(sort-head <? ls ($fxsra n 1))])
(merge <? sorted-head (sort-tail <? tail ($fx- n ($fxsra n 1)))))]))
(define (list-sort <? ls)
(unless (procedure? <?)
(error 'list-sort "~s is not a procedure" <?))
(sort-tail <? ls (length ls)))
(define (vector-sort <? v)
;;; FIXME: improve
(unless (procedure? <?)
(error 'vector-sort "~s is not a procedure" <?))
(unless (vector? v)
(error 'vector-sort "~s is not a vector" v))
(list->vector
(sort-tail <? (vector->list v) (vector-length v))))
)