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| 1 | +;; Extra SRFI 132 procedures, copied from Chibi Scheme |
| 2 | + |
| 3 | +(define (list-delete-neighbor-dups eq ls) |
| 4 | + (let lp ((ls ls) (res '())) |
| 5 | + (cond ((null? ls) (reverse res)) |
| 6 | + ((and (pair? res) (eq (car res) (car ls))) (lp (cdr ls) res)) |
| 7 | + (else (lp (cdr ls) (cons (car ls) res)))))) |
| 8 | + |
| 9 | +(define (list-delete-neighbor-dups! eq ls) |
| 10 | + (if (pair? ls) |
| 11 | + (let lp ((ls (cdr ls)) (start ls)) |
| 12 | + (cond ((null? ls) (set-cdr! start '())) |
| 13 | + ((eq (car start) (car ls)) (lp (cdr ls) start)) |
| 14 | + (else (set-cdr! start ls) (lp (cdr ls) ls))))) |
| 15 | + ls) |
| 16 | + |
| 17 | +(define (vector-delete-neighbor-dups eq vec . o) |
| 18 | + (if (zero? (vector-length vec)) |
| 19 | + vec |
| 20 | + (let ((ls (if (and (pair? o) (pair? (cdr o))) |
| 21 | + (vector->list vec (car o) (cadr o)) |
| 22 | + (apply vector->list vec o)))) |
| 23 | + (list->vector (list-delete-neighbor-dups eq ls))))) |
| 24 | + |
| 25 | +(define (vector-delete-neighbor-dups! eq vec . o) |
| 26 | + (let ((start (if (pair? o) (car o) 0)) |
| 27 | + (end (if (and (pair? o) (pair? (cdr o))) (cadr o) (vector-length vec)))) |
| 28 | + (cond |
| 29 | + ((<= end start) start) |
| 30 | + (else |
| 31 | + (let lp ((i (+ start 1)) |
| 32 | + (fill (+ start 1))) |
| 33 | + (cond |
| 34 | + ((>= i end) fill) |
| 35 | + ((eq (vector-ref vec (- i 1)) (vector-ref vec i)) (lp (+ i 1) fill)) |
| 36 | + (else |
| 37 | + (if (> i fill) |
| 38 | + (vector-set! vec fill (vector-ref vec i))) |
| 39 | + (lp (+ i 1) (+ fill 1))))))))) |
| 40 | + |
| 41 | +;; Median of 3 (good in practice, use median-of-medians for guaranteed |
| 42 | +;; linear time). |
| 43 | +(define (choose-pivot < vec left right) |
| 44 | + (let* ((mid (quotient (+ left right) 2)) |
| 45 | + (a (vector-ref vec left)) |
| 46 | + (b (vector-ref vec mid)) |
| 47 | + (c (vector-ref vec right))) |
| 48 | + (if (< a b) |
| 49 | + (if (< b c) mid (if (< a c) right left)) |
| 50 | + (if (< a c) left (if (< b c) right mid))))) |
| 51 | + |
| 52 | +;; Partitions around elt and returns the resulting median index. |
| 53 | +(define (vector-partition! < vec left right pivot) |
| 54 | + (define (swap! i j) |
| 55 | + (let ((tmp (vector-ref vec i))) |
| 56 | + (vector-set! vec i (vector-ref vec j)) |
| 57 | + (vector-set! vec j tmp))) |
| 58 | + (let ((elt (vector-ref vec pivot))) |
| 59 | + (swap! pivot right) |
| 60 | + (let lp ((i left) |
| 61 | + (j left)) |
| 62 | + (cond |
| 63 | + ((= i right) |
| 64 | + (swap! i j) |
| 65 | + j) |
| 66 | + ((< (vector-ref vec i) elt) |
| 67 | + (swap! i j) |
| 68 | + (lp (+ i 1) (+ j 1))) |
| 69 | + (else |
| 70 | + (lp (+ i 1) j)))))) |
| 71 | + |
| 72 | +;; Permutes vec in-place to move the k smallest elements as ordered by |
| 73 | +;; < to the beginning of the vector (unsorted). Returns the nth smallest. |
| 74 | +(define (vector-select! less vec k . o) |
| 75 | + (let* ((left (if (pair? o) (car o) 0)) |
| 76 | + (k (+ k left))) |
| 77 | + (if (not (<= 0 k (vector-length vec))) |
| 78 | + (error "k out of range" vec k)) |
| 79 | + (let select ((left left) |
| 80 | + (right (- (if (and (pair? o) (pair? (cdr o))) |
| 81 | + (cadr o) |
| 82 | + (vector-length vec)) |
| 83 | + 1))) |
| 84 | + (if (>= left right) |
| 85 | + (vector-ref vec left) |
| 86 | + (let* ((pivot (choose-pivot less vec left right)) |
| 87 | + (pivot-index (vector-partition! less vec left right pivot))) |
| 88 | + (cond |
| 89 | + ((= k pivot-index) |
| 90 | + (vector-ref vec k)) |
| 91 | + ((< k pivot-index) |
| 92 | + (select left (- pivot-index 1))) |
| 93 | + (else |
| 94 | + (select (+ pivot-index 1) right)))))))) |
| 95 | + |
| 96 | +(define (vector-separate! < vec k . o) |
| 97 | + (apply vector-select! < vec k o) |
| 98 | + (if #f #f)) |
| 99 | + |
| 100 | +(define (vector-find-median! < vec knil . o) |
| 101 | + (vector-sort! < vec) ; required by SRFI 132 |
| 102 | + (let* ((len (vector-length vec)) |
| 103 | + (mid (quotient len 2)) |
| 104 | + (mean (if (pair? o) (car o) (lambda (a b) (/ (+ a b) 2))))) |
| 105 | + (cond |
| 106 | + ((zero? len) knil) |
| 107 | + ((odd? len) (vector-ref vec mid)) |
| 108 | + (else (mean (vector-ref vec (- mid 1)) (vector-ref vec mid)))))) |
| 109 | + |
| 110 | +(define (vector-find-median < vec knil . o) |
| 111 | + (let* ((vec (vector-copy vec)) |
| 112 | + (len (vector-length vec)) |
| 113 | + (mid (quotient len 2)) |
| 114 | + (mean (if (pair? o) (car o) (lambda (a b) (/ (+ a b) 2))))) |
| 115 | + (cond |
| 116 | + ((zero? len) knil) |
| 117 | + (else |
| 118 | + (vector-separate! < vec mid) |
| 119 | + (cond |
| 120 | + ((odd? len) (vector-ref vec mid)) |
| 121 | + (else (mean (vector-ref vec (- mid 1)) (vector-ref vec mid)))))))) |
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