450 lines
15 KiB
Racket
450 lines
15 KiB
Racket
(module group-scheduling racket
|
|
|
|
(provide (all-defined-out))
|
|
|
|
(require racklog
|
|
control
|
|
math)
|
|
|
|
;; echoing verbosity
|
|
(define verbose? #f)
|
|
|
|
(define (verbosity b)
|
|
(set! verbose? b)
|
|
(when verbose?
|
|
(printf "verbose output enabled~n")))
|
|
|
|
(define-syntax vecho
|
|
(syntax-rules ()
|
|
((_ str ...) (when verbose? (printf str ...)))))
|
|
|
|
;; current version
|
|
(define version "2020-10-12 09:48:02")
|
|
|
|
(define (print-version)
|
|
(printf "version: ~a~n" version))
|
|
|
|
;;logics
|
|
(define %has-met %empty-rel) ;; collection of meetings...
|
|
(define %t0 %empty-rel) ;; tentative collection...
|
|
|
|
;; meetings recordered via %assert should only be recorded once
|
|
(use-occurs-check? #t)
|
|
|
|
(define (meeting p1 p2)
|
|
(vecho "meeting between: ~a & ~a~n" p1 p2)
|
|
(unless (have-they-met? p1 p2)
|
|
(begin
|
|
(%assert! %has-met () ((p1 p2)))
|
|
(%assert! %has-met () ((p2 p1))))))
|
|
|
|
;; various meetings...
|
|
;; e.g. (combinations '(p1 p2 p3 p4 p5) 4)
|
|
|
|
(define (meeting-2 p1 p2)
|
|
(meeting p1 p2))
|
|
|
|
(define (meeting-3 p1 p2 p3)
|
|
(meeting-2 p1 p2)
|
|
(meeting-2 p1 p3)
|
|
(meeting-2 p2 p3))
|
|
|
|
(define (meeting-4 p1 p2 p3 p4) ;; '((p1 p2 p3) (p1 p2 p4) (p1 p3 p4) (p2 p3 p4))
|
|
(meeting-3 p1 p2 p3)
|
|
(meeting-3 p1 p2 p4)
|
|
(meeting-3 p1 p3 p4)
|
|
(meeting-3 p2 p3 p4))
|
|
|
|
(define (meeting-5 p1 p2 p3 p4 p5)
|
|
(meeting-4 p1 p2 p3 p4)
|
|
(meeting-4 p1 p2 p3 p5)
|
|
(meeting-4 p1 p2 p4 p5)
|
|
(meeting-4 p1 p3 p4 p5)
|
|
(meeting-4 p2 p3 p4 p5))
|
|
|
|
|
|
;; assume everyone has "met" themselves
|
|
(define (start-meetings group)
|
|
(map (lambda (x) (meeting-2 x x)) group)
|
|
(printf "starting with group: ~a~n~n" group))
|
|
|
|
(define (reset-meetings group)
|
|
(printf "resetting.~n")
|
|
(set! %has-met %empty-rel)
|
|
(start-meetings group))
|
|
|
|
|
|
(define (have-they-met? x y)
|
|
(if (%which () (%has-met x y)) #t #f))
|
|
|
|
(define (all-meetings x)
|
|
(%find-all (who) (%has-met x who)))
|
|
|
|
;; make some pairs from a group
|
|
(define (make-new-2 group)
|
|
(cond
|
|
((empty? group) '())
|
|
((> 2 (length group))
|
|
(begin
|
|
(printf "leftover: 1~n") (list group)))
|
|
(else
|
|
(let* ((p1 (car (shuffle group)))
|
|
(p2 (findf (lambda (x)
|
|
(not (have-they-met? p1 x))) (remove p1 group))))
|
|
(if (and p1 p2)
|
|
(begin (meeting-2 p1 p2)
|
|
(cons (list p1 p2)
|
|
(make-new-2 (shuffle (remove* (list p1 p2) group)))))
|
|
(begin
|
|
(vecho "couldn't create a meeting from group: ~a~n" group)
|
|
'()))))))
|
|
|
|
;; make some triples from a group
|
|
(define (make-new-3 group)
|
|
(cond
|
|
((empty? group) '())
|
|
((> 3 (length group))
|
|
(begin
|
|
(printf "leftover: ~a~n" (length group)) (list group)))
|
|
(else
|
|
(let* ((p1 (car (shuffle group)))
|
|
(p2 (findf (lambda (x)
|
|
(not (have-they-met? p1 x)))
|
|
(shuffle (remove p1 group))))
|
|
(p3 (findf (lambda (x)
|
|
(and (not (have-they-met? p1 x))
|
|
(not (have-they-met? p2 x))))
|
|
(shuffle (remove* (list p1 p2) group)))))
|
|
(vecho "testing: ~a, ~a & ~a~n" p1 p2 p3)
|
|
(if (and p1 p2 p3)
|
|
(begin (meeting-3 p1 p2 p3)
|
|
(cons (list p1 p2 p3)
|
|
(make-new-3 (shuffle (remove* (list p1 p2 p3) group)))))
|
|
(begin
|
|
(vecho "couldn't create meeting from group: ~a~n" group)
|
|
'()))))))
|
|
|
|
;; make some quads from a group
|
|
(define (make-new-4 group)
|
|
(cond
|
|
((empty? group) '())
|
|
((> 4 (length group)) (list group))
|
|
(else
|
|
(let* ((p1 (car (shuffle group)))
|
|
(p2 (findf (lambda (x)
|
|
(not (have-they-met? p1 x))) (remove p1 group)))
|
|
(p3 (findf (lambda (x)
|
|
(and (not (have-they-met? p1 x))
|
|
(not (have-they-met? p2 x)))) (remove* (list p1 p2) group)))
|
|
(p4 (findf (lambda (x)
|
|
(and (not (have-they-met? p1 x))
|
|
(not (have-they-met? p2 x))
|
|
(not (have-they-met? p3 x)))) (remove* (list p1 p2 p3) group))))
|
|
(if (and p1 p2 p3 p4)
|
|
(begin (meeting-4 p1 p2 p3 p4)
|
|
(cons (list p1 p2 p3 p4)
|
|
(make-new-4 (shuffle (remove* (list p1 p2 p3 p4) group)))))
|
|
'())))))
|
|
|
|
|
|
;; make some fivefiold from a group
|
|
(define (make-new-5 group)
|
|
(cond
|
|
((empty? group) '())
|
|
((> 5 (length group)) (list group))
|
|
(else
|
|
(let* ((p1 (car (shuffle group)))
|
|
(p2 (findf (lambda (x)
|
|
(not (have-they-met? p1 x))) (remove p1 group)))
|
|
(p3 (findf (lambda (x)
|
|
(and (not (have-they-met? p1 x))
|
|
(not (have-they-met? p2 x)))) (remove* (list p1 p2) group)))
|
|
(p4 (findf (lambda (x)
|
|
(and (not (have-they-met? p1 x))
|
|
(not (have-they-met? p2 x))
|
|
(not (have-they-met? p3 x)))) (remove* (list p1 p2 p3) group)))
|
|
(p5 (findf (lambda (x)
|
|
(and (not (have-they-met? p1 x))
|
|
(not (have-they-met? p2 x))
|
|
(not (have-they-met? p3 x))
|
|
(not (have-they-met? p4 x)))) (remove* (list p1 p2 p3 p4) group))))
|
|
(if (and p1 p2 p3 p4 p5)
|
|
(begin (meeting-5 p1 p2 p3 p4 p5)
|
|
(cons (list p1 p2 p3 p4 p5)
|
|
(make-new-5 (shuffle (remove* (list p1 p2 p3 p4 p5) group)))))
|
|
'())))))
|
|
|
|
|
|
;; brute repetitor
|
|
;; keep trying until something "complete" is output
|
|
;; determined by matching length as condition (TBC)
|
|
|
|
(define escape-counter 101)
|
|
|
|
(define (decrement-escape)
|
|
(vecho ".")
|
|
(set! escape-counter (- escape-counter 1)))
|
|
|
|
(define (reset-escape)
|
|
(set! escape-counter 101))
|
|
|
|
(define (ensure-new-5 group)
|
|
(decrement-escape)
|
|
(if (eq? 0 escape-counter)
|
|
(begin
|
|
(reset-escape)
|
|
(vecho "escaped from loopland...~n")
|
|
'())
|
|
(let ((t0 %has-met))
|
|
(let ((c (make-new-5 group)))
|
|
(if (eq? (length group) (length (flatten c)))
|
|
c
|
|
(begin
|
|
(set! %has-met t0)
|
|
(ensure-new-5 group)))))))
|
|
|
|
(define (ensure-new-4 group)
|
|
(decrement-escape)
|
|
(if (eq? 0 escape-counter)
|
|
(begin
|
|
(reset-escape)
|
|
(vecho "escaped from loopland...~n")
|
|
'())
|
|
(let ((t0 %has-met))
|
|
(let ((c (make-new-4 group)))
|
|
(if (eq? (length group) (length (flatten c)))
|
|
c
|
|
(begin
|
|
(set! %has-met t0)
|
|
(ensure-new-4 group)))))))
|
|
|
|
(define (ensure-new-3 group)
|
|
(decrement-escape)
|
|
(if (eq? 0 escape-counter)
|
|
(begin
|
|
(reset-escape)
|
|
(vecho "escaped from loopland...~n")
|
|
'())
|
|
(let ((t0 %has-met))
|
|
(let ((c (make-new-3 group)))
|
|
(if (eq? (length group) (length (flatten c)))
|
|
c
|
|
(begin
|
|
(set! %has-met t0)
|
|
(ensure-new-3 group)))))))
|
|
|
|
(define (ensure-new-2 group)
|
|
(decrement-escape)
|
|
(if (eq? 0 escape-counter)
|
|
(begin
|
|
(reset-escape)
|
|
(vecho "escaped from loopland...~n")
|
|
'())
|
|
(let ((t0 %has-met))
|
|
(let ((c (make-new-2 group)))
|
|
(if (eq? (length group) (length (flatten c)))
|
|
c
|
|
(begin
|
|
(set! %has-met t0)
|
|
(ensure-new-2 group)))))))
|
|
|
|
(define (check-group group)
|
|
(printf "group is ~s long. repeats? ~a~n~s~n"
|
|
(length (flatten group))
|
|
(check-duplicates (flatten group))
|
|
(sort (flatten group) string<?)))
|
|
|
|
|
|
;; etc etc+
|
|
|
|
(define (group-pairs l0)
|
|
(let ((l (shuffle l0)))
|
|
(when (> (remainder (length l) 2) 0)
|
|
(printf "there will be ~a leftover.\n" (remainder (length l) 2)))
|
|
(if (empty? l) '()
|
|
(if (= 1 (length l)) (cons l '())
|
|
(cons (list (first l) (second l)) (group-pairs (list-tail l 2)))))))
|
|
|
|
(define (group-threes l0)
|
|
(let ((l (shuffle l0)))
|
|
(when (> (remainder (length l) 3) 0)
|
|
(printf "there will be ~a leftover.\n" (remainder (length l) 3)))
|
|
(case (length l)
|
|
((0) '())
|
|
((1) (cons l '()))
|
|
((2) (cons (list (first l) (second l)) '()))
|
|
(else (cons (list (first l) (second l) (third l))
|
|
(group-threes (list-tail l 3)))))))
|
|
|
|
|
|
(define (group-fours l0)
|
|
(let ((l (shuffle l0)))
|
|
(when (> (remainder (length l) 4) 0)
|
|
(printf "there will be ~a leftover.\n" (remainder (length l) 4)))
|
|
(case (length l)
|
|
((0) '())
|
|
((1) (cons l '()))
|
|
((2) (cons (list (first l) (second l)) '()))
|
|
((3) (cons (list (first l) (second l) (third l)) '()))
|
|
(else (cons (list (first l) (second l) (third l) (fourth l))
|
|
(group-fours (list-tail l 4)))))))
|
|
|
|
;;; pairs
|
|
(define (select-pairs-acc p1 p2 l)
|
|
(vecho "trying: ~a and ~a from ~a\n" p1 p2 l)
|
|
(if (empty? l) '()
|
|
(if (have-they-met? (list p1 p2))
|
|
(let ((p2q (car l)))
|
|
(meeting-2 p1 p2q)
|
|
(select-pairs-acc p1 p2q (remove p2 l)))
|
|
(begin
|
|
(meeting-2 p1 p2)
|
|
(cons (list p1 p2) (select-pairs (remove* (list p1 p2) l)))))))
|
|
|
|
(define (select-pairs l)
|
|
(vecho "selecting pairs...~n")
|
|
(if (< (length l) 1) '()
|
|
(let ((p1 (car l))
|
|
(p2 (car (shuffle l))))
|
|
;(printf "possibly: ~a and ~a from ~a\n" p1 p2 l)
|
|
(select-pairs-acc p1 p2 l))))
|
|
|
|
|
|
;;; triples
|
|
(define (select-3fold-acc p1 p2 p3 l)
|
|
(vecho "trying: ~a, ~a and ~a from ~a\n" p1 p2 p3 l)
|
|
(if (empty? l) '()
|
|
(cond
|
|
((have-they-met? (list p1 p2))
|
|
(select-3fold-acc p1 (car l) p3 (remove p2 l)))
|
|
((have-they-met? (list p1 p3))
|
|
(select-3fold-acc p1 p2 (car l) (remove p3 l)))
|
|
((have-they-met? (list p2 p3))
|
|
(select-3fold-acc p1 p2 (car l) (remove p3 l)))
|
|
(else (begin
|
|
(vecho "adding: ~a, ~a and ~a from ~a\n" p1 p2 p3 l)
|
|
(meeting-3 p1 p2 p3)
|
|
(cons (list p1 p2 p3) (select-3fold (remove* (list p1 p2 p3) l))))))))
|
|
|
|
(define (select-3fold l)
|
|
(vecho "selecting 3fold...~n")
|
|
(if (< (length l) 1) '()
|
|
(let ((p1 (car l))
|
|
(p2 (car (shuffle l))) ;; maybe duplicate
|
|
(p3 (car (shuffle l)))) ;; maybe duplicate
|
|
(vecho "possibly: ~a and ~a from ~a\n" p1 p2 l)
|
|
(select-3fold-acc p1 p2 p3 l))))
|
|
|
|
|
|
;;; fours
|
|
(define (select-4fold-acc p1 p2 p3 p4 l)
|
|
(if (empty? l) '()
|
|
(cond
|
|
((have-they-met? (list p1 p2 p3 p4))
|
|
(select-4fold-acc p1 (car l) p2 p3 (remove p2 l)))
|
|
((have-they-met? (list p1 p3))
|
|
(select-4fold-acc p1 p2 (car l) (remove p3 l)))
|
|
((have-they-met? (list p2 p3))
|
|
(select-4fold-acc p1 p2 (car l) (remove p3 l)))
|
|
(else (begin
|
|
;(printf "adding: ~a, ~a and ~a from ~a\n" p1 p2 p3 l)
|
|
(meeting-4 p1 p2 p3 p4)
|
|
(cons (list p1 p2 p3 p4) (select-3fold (remove* (list p1 p2 p3) l))))))))
|
|
|
|
(define (select-4fold l)
|
|
(if (< (length l) 1) '()
|
|
(let ((p1 (car l))
|
|
(p2 (car (shuffle l))) ;; maybe duplicate
|
|
(p3 (car (shuffle l))) ;; maybe duplicate
|
|
(p4 (car (shuffle l)))) ;; maybe duplicate
|
|
;(printf "possibly: ~a and ~a from ~a\n" p1 p2 l)
|
|
(select-4fold-acc p1 p2 p3 p4 l))))
|
|
|
|
|
|
;; printing and/or output
|
|
|
|
(define (print-combinations g n)
|
|
(printf "There are ~a combinations of ~a. \n~a\n\n"
|
|
(binomial (length g) n)
|
|
n
|
|
(when (>= 120 (binomial (length g) n))
|
|
(combinations g n))))
|
|
|
|
(define (cross-chatter n r1 r2 r3) ;; n = group size, r = num of rounds (at n=2,3,4)
|
|
(let ((m0 (- n 1)))
|
|
(printf "Each person needs to meet ~a other people, " m0)
|
|
(if (<= m0 (+ r1 (* r2 2) (* r3 3)))
|
|
(printf "which is possible.~n~n")
|
|
(printf "which is impossible with this arrangement.~n~n"))))
|
|
|
|
(define (print-test-rounds l n1 n2 n3)
|
|
(printf "There are ~a people (binomial ~a)\n" (length l) (binomial (length l) 2))
|
|
(printf "in ~a rounds of 2, there can be ~s distinct groupings\n"
|
|
n1 (floor (* n1 (/ (length l) 2))))
|
|
(printf "in ~a rounds of 3, there can be ~s distinct groupings\n"
|
|
n2 (floor (* n2 (/ (length l) 3))))
|
|
(printf "in ~a rounds of 4, there can be ~s distinct groupings\n"
|
|
n3 (floor (* n3 (/ (length l) 4))))
|
|
(cross-chatter (length l) n1 n2 n3))
|
|
|
|
|
|
(define (print-pairs l)
|
|
(printf "\nnext round, in pairs.\n")
|
|
(for ((p0 (select-pairs l)))
|
|
(printf "meeting: ~a and ~a\n" (car p0) (second p0))))
|
|
|
|
(define (print-3fold l)
|
|
(printf "\nnext round, groups of 3.\n")
|
|
(for ((p0 (select-3fold l)))
|
|
(printf "meeting: ~a, ~a and ~a\n" (car p0) (second p0) (third p0))))
|
|
|
|
;; print and/or ceate subgroups
|
|
(define (print-rounds-of-2 group n)
|
|
(dotimes (x n)
|
|
(printf "next round [2:~a]~n" (+ x 1))
|
|
(for-each (lambda (g0)
|
|
(printf "pair: ~a & ~a~n"
|
|
(if g0 (first g0) "?")
|
|
(if (< 1 (length g0)) (second g0) "?")))
|
|
(ensure-new-2 group))
|
|
(printf "~n")))
|
|
|
|
(define (print-rounds-of-3 group n)
|
|
(dotimes (x n)
|
|
(printf "next round [3:~a]~n" (+ x 1))
|
|
(for-each (lambda (g0)
|
|
(printf "3fold: ~a, ~a & ~a~n"
|
|
(if g0 (first g0) "?")
|
|
(if (< 1 (length g0)) (second g0) "?")
|
|
(if (< 2 (length g0)) (third g0) "?")))
|
|
;;(make-new-3 group))
|
|
(ensure-new-3 group))
|
|
(printf "~n")))
|
|
|
|
(define (print-rounds-of-4 group n)
|
|
(dotimes (x n)
|
|
(printf "next round [4:~a]~n" (+ x 1))
|
|
(for-each (lambda (g0)
|
|
(printf "4fold: ~a, ~a, ~a & ~a~n"
|
|
(if g0 (first g0) "?")
|
|
(if (< 1 (length g0)) (second g0) "?")
|
|
(if (< 2 (length g0)) (third g0) "?")
|
|
(if (< 3 (length g0)) (fourth g0) "?")
|
|
))
|
|
(ensure-new-4 group))
|
|
(printf "~n")))
|
|
|
|
|
|
(define (print-all-meetings group)
|
|
(printf "Meetings so far:~n")
|
|
(for-each (lambda (p0)
|
|
(printf "~a has met ~a others: ~a~n"
|
|
p0
|
|
(- (length (all-meetings p0)) 2)
|
|
(drop (map (lambda (p1) (cdar p1))
|
|
(all-meetings p0)) 2)))
|
|
group)
|
|
(printf "~n"))
|
|
|
|
)
|
|
|