Pundori Kalan, 256-bit computing, Landmann & Eureka Sound

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nik gaffney 2020-10-05 11:07:51 +02:00
parent 1ca02681e5
commit eca6832f5d

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@ -1,39 +1,37 @@
#lang racket
(module group-scheduling racket (module group-scheduling racket
(provide (all-defined-out)) (provide (all-defined-out))
(require racklog (require racklog
control control
math) math)
;;logics ;;logics
(define %has-met %empty-rel) ;; collection of meetings... (define %has-met %empty-rel) ;; collection of meetings...
(define %t0 %empty-rel) ;; tentative collection... (define %t0 %empty-rel) ;; tentative collection...
(define (meeting p1 p2) (define (meeting p1 p2)
(%assert! %has-met () ((p1 p2))) (%assert! %has-met () ((p1 p2)))
(%assert! %has-met () ((p2 p1)))) (%assert! %has-met () ((p2 p1))))
;; various meetings... ;; various meetings...
;; e.g. (combinations '(p1 p2 p3 p4 p5) 4) ;; e.g. (combinations '(p1 p2 p3 p4 p5) 4)
(define (meeting-2 p1 p2) (define (meeting-2 p1 p2)
(meeting p1 p2)) (meeting p1 p2))
(define (meeting-3 p1 p2 p3) (define (meeting-3 p1 p2 p3)
(meeting p1 p2) (meeting p1 p2)
(meeting p1 p3) (meeting p1 p3)
(meeting p2 p3)) (meeting p2 p3))
(define (meeting-4 p1 p2 p3 p4) (define (meeting-4 p1 p2 p3 p4)
(meeting-3 p1 p2 p3) (meeting-3 p1 p2 p3)
(meeting-3 p1 p2 p4) (meeting-3 p1 p2 p4)
(meeting-3 p1 p3 p4) (meeting-3 p1 p3 p4)
(meeting-3 p2 p3 p4)) (meeting-3 p2 p3 p4))
(define (meeting-5 p1 p2 p3 p4 p5) (define (meeting-5 p1 p2 p3 p4 p5)
(meeting-4 p1 p2 p3 p4) (meeting-4 p1 p2 p3 p4)
(meeting-4 p1 p2 p3 p5) (meeting-4 p1 p2 p3 p5)
(meeting-4 p1 p2 p4 p5) (meeting-4 p1 p2 p4 p5)
@ -41,25 +39,25 @@
(meeting-4 p2 p3 p4 p5)) (meeting-4 p2 p3 p4 p5))
;; assume everyone has "met" themselves ;; assume everyone has "met" themselves
(define (start-meetings group) (define (start-meetings group)
(map (lambda (x) (meeting x x)) group) (map (lambda (x) (meeting x x)) group)
(printf "starting with group: ~a~n~n" group)) (printf "starting with group: ~a~n~n" group))
(define (reset-meetings group) (define (reset-meetings group)
(printf "resetting.~n") (printf "resetting.~n")
(set! %has-met %empty-rel) (set! %has-met %empty-rel)
(start-meetings group)) (start-meetings group))
(define (have-they-met? x y) (define (have-they-met? x y)
(if (%which () (%has-met x y)) #t #f)) (if (%which () (%has-met x y)) #t #f))
(define (all-meetings x) (define (all-meetings x)
(%find-all (who) (%has-met x who))) (%find-all (who) (%has-met x who)))
;; make some pairs from a group ;; make some pairs from a group
(define (make-new-2 group) (define (make-new-2 group)
(cond (cond
((empty? group) '()) ((empty? group) '())
((> 4 (length group)) (list group)) ((> 4 (length group)) (list group))
@ -73,8 +71,8 @@
(make-new-2 (shuffle (remove* (list p1 p2) group))))) (make-new-2 (shuffle (remove* (list p1 p2) group)))))
'()))))) '())))))
;; make some triples from a group ;; make some triples from a group
(define (make-new-3 group) (define (make-new-3 group)
(cond (cond
((empty? group) '()) ((empty? group) '())
((> 4 (length group)) (list group)) ((> 4 (length group)) (list group))
@ -91,8 +89,8 @@
(make-new-3 (shuffle (remove* (list p1 p2 p3) group))))) (make-new-3 (shuffle (remove* (list p1 p2 p3) group)))))
'()))))) '())))))
;; make some quads from a group ;; make some quads from a group
(define (make-new-4 group) (define (make-new-4 group)
(cond (cond
((empty? group) '()) ((empty? group) '())
((> 4 (length group)) (list group)) ((> 4 (length group)) (list group))
@ -114,8 +112,8 @@
'()))))) '())))))
;; make some fivefiold from a group ;; make some fivefiold from a group
(define (make-new-5 group) (define (make-new-5 group)
(cond (cond
((empty? group) '()) ((empty? group) '())
((> 5 (length group)) (list group)) ((> 5 (length group)) (list group))
@ -142,19 +140,19 @@
'()))))) '())))))
;; brute repetitor ;; brute repetitor
;; keep trying until something "complete" is output ;; keep trying until something "complete" is output
;; determined by matching length as condition (TBC) ;; determined by matching length as condition (TBC)
(define escape-counter 100) (define escape-counter 100)
(define (decrement-escape) (define (decrement-escape)
(set! escape-counter (- escape-counter 1))) (set! escape-counter (- escape-counter 1)))
(define (reset-escape) (define (reset-escape)
(set! escape-counter 100)) (set! escape-counter 100))
(define (ensure-new-5 group) (define (ensure-new-5 group)
(decrement-escape) (decrement-escape)
(if (eq? 0 escape-counter) (if (eq? 0 escape-counter)
(begin (begin
@ -170,7 +168,7 @@
(ensure-new-5 group))))))) (ensure-new-5 group)))))))
(define (ensure-new-4 group) (define (ensure-new-4 group)
(decrement-escape) (decrement-escape)
(if (eq? 0 escape-counter) (if (eq? 0 escape-counter)
(begin (begin
@ -185,16 +183,16 @@
(set! %has-met t0) (set! %has-met t0)
(ensure-new-4 group))))))) (ensure-new-4 group)))))))
(define (check-group group) (define (check-group group)
(printf "group is ~s long. repeats? ~a~n~s~n" (printf "group is ~s long. repeats? ~a~n~s~n"
(length (flatten group)) (length (flatten group))
(check-duplicates (flatten group)) (check-duplicates (flatten group))
(sort (flatten group) string<?))) (sort (flatten group) string<?)))
;; etc etc+ ;; etc etc+
(define (group-pairs l0) (define (group-pairs l0)
(let ((l (shuffle l0))) (let ((l (shuffle l0)))
(when (> (remainder (length l) 2) 0) (when (> (remainder (length l) 2) 0)
(printf "there will be ~a leftover.\n" (remainder (length l) 2))) (printf "there will be ~a leftover.\n" (remainder (length l) 2)))
@ -202,7 +200,7 @@
(if (= 1 (length l)) (cons l '()) (if (= 1 (length l)) (cons l '())
(cons (list (first l) (second l)) (group-pairs (list-tail l 2))))))) (cons (list (first l) (second l)) (group-pairs (list-tail l 2)))))))
(define (group-threes l0) (define (group-threes l0)
(let ((l (shuffle l0))) (let ((l (shuffle l0)))
(when (> (remainder (length l) 3) 0) (when (> (remainder (length l) 3) 0)
(printf "there will be ~a leftover.\n" (remainder (length l) 3))) (printf "there will be ~a leftover.\n" (remainder (length l) 3)))
@ -214,7 +212,7 @@
(group-threes (list-tail l 3))))))) (group-threes (list-tail l 3)))))))
(define (group-fours l0) (define (group-fours l0)
(let ((l (shuffle l0))) (let ((l (shuffle l0)))
(when (> (remainder (length l) 4) 0) (when (> (remainder (length l) 4) 0)
(printf "there will be ~a leftover.\n" (remainder (length l) 4))) (printf "there will be ~a leftover.\n" (remainder (length l) 4)))
@ -228,7 +226,7 @@
;;; pairs ;;; pairs
(define (select-pairs-acc p1 p2 l) (define (select-pairs-acc p1 p2 l)
(if (empty? l) '() (if (empty? l) '()
(if (have-they-met? (list p1 p2)) (if (have-they-met? (list p1 p2))
(select-pairs-acc p1 (car l) (remove p2 l)) (select-pairs-acc p1 (car l) (remove p2 l))
@ -237,7 +235,7 @@
(meeting-2 p1 p2) (meeting-2 p1 p2)
(cons (list p1 p2) (select-pairs (remove* (list p1 p2) l))))))) (cons (list p1 p2) (select-pairs (remove* (list p1 p2) l)))))))
(define (select-pairs l) (define (select-pairs l)
(if (< (length l) 1) '() (if (< (length l) 1) '()
(let ((p1 (car l)) (let ((p1 (car l))
(p2 (car (shuffle l)))) (p2 (car (shuffle l))))
@ -247,7 +245,7 @@
;;; triples ;;; triples
(define (select-3fold-acc p1 p2 p3 l) (define (select-3fold-acc p1 p2 p3 l)
(if (empty? l) '() (if (empty? l) '()
(cond (cond
((have-they-met? (list p1 p2)) ((have-they-met? (list p1 p2))
@ -262,7 +260,7 @@
(cons (list p1 p2 p3) (select-3fold (remove* (list p1 p2 p3) l)))))))) (cons (list p1 p2 p3) (select-3fold (remove* (list p1 p2 p3) l))))))))
(define (select-3fold l) (define (select-3fold l)
(if (< (length l) 1) '() (if (< (length l) 1) '()
(let ((p1 (car l)) (let ((p1 (car l))
(p2 (car (shuffle l))) ;; maybe duplicate (p2 (car (shuffle l))) ;; maybe duplicate
@ -272,7 +270,7 @@
;;; fours ;;; fours
(define (select-4fold-acc p1 p2 p3 p4 l) (define (select-4fold-acc p1 p2 p3 p4 l)
(if (empty? l) '() (if (empty? l) '()
(cond (cond
((have-they-met? (list p1 p2 p3 p4)) ((have-they-met? (list p1 p2 p3 p4))
@ -287,7 +285,7 @@
(cons (list p1 p2 p3 p4) (select-3fold (remove* (list p1 p2 p3) l)))))))) (cons (list p1 p2 p3 p4) (select-3fold (remove* (list p1 p2 p3) l))))))))
(define (select-4fold l) (define (select-4fold l)
(if (< (length l) 1) '() (if (< (length l) 1) '()
(let ((p1 (car l)) (let ((p1 (car l))
(p2 (car (shuffle l))) ;; maybe duplicate (p2 (car (shuffle l))) ;; maybe duplicate
@ -297,23 +295,23 @@
(select-4fold-acc p1 p2 p3 p4 l)))) (select-4fold-acc p1 p2 p3 p4 l))))
;; printing and/or output ;; printing and/or output
(define (print-combinations g n) (define (print-combinations g n)
(printf "There are ~a combinations of ~a. \n~a\n\n" (printf "There are ~a combinations of ~a. \n~a\n\n"
(binomial (length g) n) (binomial (length g) n)
n n
(when (>= 120 (binomial (length g) n)) (when (>= 120 (binomial (length g) n))
(combinations g n)))) (combinations g n))))
(define (cross-chatter n r1 r2 r3) ;; n = group size, r = num of rounds (at n=2,3,4) (define (cross-chatter n r1 r2 r3) ;; n = group size, r = num of rounds (at n=2,3,4)
(let ((m0 (- n 1))) (let ((m0 (- n 1)))
(printf "Each person needs to meet ~a other people, " m0) (printf "Each person needs to meet ~a other people, " m0)
(if (<= m0 (+ r1 (* r2 2) (* r3 3))) (if (<= m0 (+ r1 (* r2 2) (* r3 3)))
(printf "which is possible.~n~n") (printf "which is possible.~n~n")
(printf "which is impossible with this arrangement.~n~n")))) (printf "which is impossible with this arrangement.~n~n"))))
(define (print-test-rounds l n1 n2 n3) (define (print-test-rounds l n1 n2 n3)
(printf "There are ~a people (binomial ~a)\n" (length l) (binomial (length l) 2)) (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 (* n1 (/ (length l) 2))) (printf "in ~a rounds of 2, there can be ~s distinct groupings\n" n1 (* n1 (/ (length l) 2)))
(printf "in ~a rounds of 3, there can be ~s distinct groupings\n" n2 (* n2 (/ (length l) 3))) (printf "in ~a rounds of 3, there can be ~s distinct groupings\n" n2 (* n2 (/ (length l) 3)))
@ -321,18 +319,18 @@
(cross-chatter (length l) n1 n2 n3)) (cross-chatter (length l) n1 n2 n3))
(define (print-pairs l) (define (print-pairs l)
(printf "\nnext round, in pairs.\n") (printf "\nnext round, in pairs.\n")
(for ((p0 (select-pairs l))) (for ((p0 (select-pairs l)))
(printf "meeting: ~a and ~a\n" (car p0) (second p0)))) (printf "meeting: ~a and ~a\n" (car p0) (second p0))))
(define (print-3fold l) (define (print-3fold l)
(printf "\nnext round, groups of 3.\n") (printf "\nnext round, groups of 3.\n")
(for ((p0 (select-3fold l))) (for ((p0 (select-3fold l)))
(printf "meeting: ~a, ~a and ~a\n" (car p0) (second p0) (third p0)))) (printf "meeting: ~a, ~a and ~a\n" (car p0) (second p0) (third p0))))
;; print and/or ceate subgroups ;; print and/or ceate subgroups
(define (print-rounds-of-2 group n) (define (print-rounds-of-2 group n)
(dotimes (x n) (dotimes (x n)
(printf "next round [2:~a]~n" (+ x 1)) (printf "next round [2:~a]~n" (+ x 1))
(map (lambda (pair) (map (lambda (pair)
@ -340,7 +338,7 @@
(make-new-2 group)) (make-new-2 group))
(printf "~n"))) (printf "~n")))
(define (print-rounds-of-3 group n) (define (print-rounds-of-3 group n)
(dotimes (x n) (dotimes (x n)
(printf "next round [3:~a]~n" (+ x 1)) (printf "next round [3:~a]~n" (+ x 1))
(for-each (lambda (g0) (for-each (lambda (g0)
@ -351,7 +349,7 @@
(make-new-3 group)) (make-new-3 group))
(printf "~n"))) (printf "~n")))
(define (print-rounds-of-4 group n) (define (print-rounds-of-4 group n)
(dotimes (x n) (dotimes (x n)
(printf "next round [4:~a]~n" (+ x 1)) (printf "next round [4:~a]~n" (+ x 1))
(for-each (lambda (g0) (for-each (lambda (g0)
@ -365,7 +363,7 @@
(printf "~n"))) (printf "~n")))
(define (print-all-meetings group) (define (print-all-meetings group)
(printf "Meetings so far:~n") (printf "Meetings so far:~n")
(for-each (lambda (p0) (for-each (lambda (p0)
(printf "~a has met ~a~n" (printf "~a has met ~a~n"
@ -374,4 +372,5 @@
group) group)
(printf "~n")) (printf "~n"))
) )