Created
August 31, 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 result n value) | |
| (cond | |
| [(<= n 1) (reverse result)] | |
| [(zero? (modulo n value)) (factors (cons value result) (/ n value) value)] | |
| [else (factors result n (add1 value))])) | |
| (factors '() n 2)) | |
| (run-tests | |
| (test-suite | |
| "prime factorization tests" | |
| (test-case | |
| "primes should only have themselves as factors" | |
| (let ([primes '(2 3 5 7 11 13 17)]) | |
| (for-each | |
| (lambda (n) | |
| (check-equal? (prime-factors n) (list n) (~a "factors of " (~v n) " should be only " (~v n)))) | |
| primes))) | |
| (test-case | |
| "squaring primes should only have themselves as factors" | |
| (let ([primes '(2 3 5 7 11 13 17)]) | |
| (for-each | |
| (lambda (n) | |
| (check-equal? (prime-factors (* n n)) (list n n) (~a "factors of " (~v (* n n)) " should be " (~v n) " twice"))) | |
| primes))) | |
| (check-equal? (prime-factors (* 2 3 5 5)) '(2 3 5 5) "prime factors of 2 * 3 * 5 * 5 are those values") | |
| (test-case | |
| "factors should be in ascending order" | |
| (let ([factors '(2 3 3 5 7 2)]) | |
| (check-equal? (sort factors <) (prime-factors (apply * factors))))))) |
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