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authorAryadev Chavali <aryadev@aryadevchavali.com>2024-04-29 15:43:17 +0530
committerAryadev Chavali <aryadev@aryadevchavali.com>2024-04-29 15:43:17 +0530
commit4359caa3ca15c75c4241d869259af3be8cc8375f (patch)
tree7ccb8c1dc8f8846adddf6e67d4912cf6f4aaab62 /powerset.rkt
parentd30043274d010e3246946166a5d7e81cb583038a (diff)
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Moved implementations to folder
Diffstat (limited to 'powerset.rkt')
-rw-r--r--powerset.rkt69
1 files changed, 0 insertions, 69 deletions
diff --git a/powerset.rkt b/powerset.rkt
deleted file mode 100644
index bbece52..0000000
--- a/powerset.rkt
+++ /dev/null
@@ -1,69 +0,0 @@
-#lang racket
-
-(define (subsets-of lst n)
- (cond
- [(null? lst) null] ; 0 ways of making anything out of empty set
- [(= n 0) (list null)] ; 1 way of making a 0 sized subset of something
- [(= n 1) (map list lst)] ; |lst| ways of making singletons
- [else
- (let ([head (car lst)]
- [tail (cdr lst)])
- (append
- ;; HEAD is a part of the subset, so the rest of the subset
- ;; must be an n-1 sized subset of TAIL
- (map (lambda (lst) (cons head lst))
- (subsets-of tail (- n 1)))
- ;; ... or HEAD is not part of the subset, so the subset is
- ;; some n sized subset of TAIL
- (subsets-of tail n)))]))
-
-(define (powerset lst)
- (append* ; flatten list of n sized subsets to just get subsets
- (map (lambda (n)
- (subsets-of lst n)) ; get subset of size n
- (range 0 (+ 1 (length lst)))))) ; n from 0 to |lst|
-
-(define (test? name expected got [equality equal?])
- ;; Print success of test (i.e. (equality expected got)) and return a
- ;; boolean representing if it worked.
- (printf "[TEST ~a]: " name)
- (if (equality expected got)
- (begin
- (displayln "Success")
- #t)
- (begin
- (printf "Failure (expected=~a, got=~a)~n" expected got)
- #f)))
-
-(define-syntax (perform-tests stx)
- (with-syntax
- ([t-clauses
- (datum->syntax
- stx
- (map
- (lambda (clause)
- (syntax-case clause ()
- [(name expected got)
- #'(test? 'name expected got)]))
- (cdr (syntax->list stx))))])
- #'(and (~@ . t-clauses))))
-
-(let ([small (range 10)]
- [medium (range 50)]
- [large (range 100)])
- (perform-tests
- ;; Base case on lst
- ("subsets-of->lst=null->n=0" 0 (length (subsets-of null 0)))
- ("subsets-of->lst=null->n=1024" 0 (length (subsets-of null 1024)))
- ;; Base case on n
- ("subsets-of->lst=[10]->n=0" 1 (length (subsets-of small 0)))
- ("subsets-of->lst=[50]->n=0" 1 (length (subsets-of medium 0)))
- ("subsets-of->lst=[100]->n=0" 1 (length (subsets-of large 0)))
- ;; Singletons
- ("subsets-of->lst=[10]->n=1" 10 (length (subsets-of small 1)))
- ("subsets-of->lst=[50]->n=1" 50 (length (subsets-of medium 1)))
- ("subsets-of->lst=[100]->n=1" 100 (length (subsets-of large 1)))
- ;; Binomial theorem tests (symmetry along the middle of Pascal's triangle)
- ("subsets-of->lst=[10]->n=2~~n=8" (length (subsets-of small 2)) (length (subsets-of small 8)))
- ("subsets-of->lst=[10]->n=3~~n=7" (length (subsets-of small 3)) (length (subsets-of small 7)))
- ("subsets-of->lst=[10]->n=4~~n=6" (length (subsets-of small 4)) (length (subsets-of small 6)))))