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September 14, 2016 11:36
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Prime Factors kata in Racket using recursion
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#lang racket | |
(require rackunit rackunit/text-ui) | |
(define (prime-factors n) | |
(define (factors acc canidate x) | |
(if (equal? 1 x) | |
(reverse acc) | |
(if (zero? (modulo x canidate)) | |
(factors (cons canidate acc) canidate (quotient x canidate)) | |
(factors acc (add1 canidate) x)))) | |
(factors empty 2 n)) | |
(run-tests | |
(test-suite | |
"prime factorization tests" | |
(test-case | |
"given a prime number it must return given prime number" | |
(for/list ([prime '(2 5 7 11 13 17 23)]) | |
(check-equal? (prime-factors prime) (list prime)))) | |
(test-case | |
"given a prime number times 2 it must return 2 and given prime number" | |
(for/list ([prime '(2 3 5 17)]) | |
(check-equal? (prime-factors (* 2 prime)) (list 2 prime)))) | |
(test-case | |
"given a complex number the product of its prime factors must equal given complex number" | |
(for/list ([complex '(100 33 45 109872)]) | |
(check-equal? (apply * (prime-factors complex)) complex))) | |
(test-case | |
"given 1 its prime factors must be none" | |
(check-pred empty? (prime-factors 1))) | |
(test-case | |
"given a complex number its prime factors must be sorted in ascending order" | |
(for/list ([complex '(1010 10202 3333208 109872)]) | |
(let ([factors (prime-factors complex)]) | |
(check-equal? (sort factors <) factors)))))) |
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