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(load "../common")
(defun normtype (obj)
(etypecase obj
(null 'list)
(cons 'list)
(lit 'string)
(str 'string)
(vec 'vec)))
(defun test-comb (s k)
(let ((out (comb s k))
(nCk (n-choose-k (len s) k)))
(if (> k (len s))
(test out nil)
(mvtest
(len out) nCk
(len (uniq out)) nCk))
(vtest
(sort out) out)
(unless (empty out)
(let ((stype (normtype s))
(otype (normtype (first out))))
(vtest stype otype)))))
(test-comb #() 0)
(test-comb #() 1)
(test-comb #(1) 0)
(test-comb #(1) 1)
(test-comb #(1) 2)
(test-comb #(1 2) 0)
(test-comb #(1 2) 1)
(test-comb #(1 2) 2)
(test-comb #(1 2) 3)
(test-comb #(1 2 3) 0)
(test-comb #(1 2 3) 1)
(test-comb #(1 2 3) 2)
(test-comb #(1 2 3) 3)
(test-comb #(1 2 3) 4)
(test-comb #(1 2 3 4) 0)
(test-comb #(1 2 3 4) 1)
(test-comb #(1 2 3 4) 2)
(test-comb #(1 2 3 4) 3)
(test-comb #(1 2 3 4) 4)
(test-comb #(1 2 3 4) 5)
(test-comb #(1 2 3 4 5) 0)
(test-comb #(1 2 3 4 5) 1)
(test-comb #(1 2 3 4 5) 2)
(test-comb #(1 2 3 4 5) 3)
(test-comb #(1 2 3 4 5) 4)
(test-comb #(1 2 3 4 5) 5)
(test-comb #(1 2 3 4 5) 5)
(test-comb '() 0)
(test-comb '() 1)
(test-comb '(1) 0)
(test-comb '(1) 1)
(test-comb '(1) 2)
(test-comb '(1 2) 0)
(test-comb '(1 2) 1)
(test-comb '(1 2) 2)
(test-comb '(1 2) 3)
(test-comb '(1 2 3) 0)
(test-comb '(1 2 3) 1)
(test-comb '(1 2 3) 2)
(test-comb '(1 2 3) 3)
(test-comb '(1 2 3) 4)
(test-comb '(1 2 3 4) 0)
(test-comb '(1 2 3 4) 1)
(test-comb '(1 2 3 4) 2)
(test-comb '(1 2 3 4) 3)
(test-comb '(1 2 3 4) 4)
(test-comb '(1 2 3 4) 5)
(test-comb '(1 2 3 4 5) 0)
(test-comb '(1 2 3 4 5) 1)
(test-comb '(1 2 3 4 5) 2)
(test-comb '(1 2 3 4 5) 3)
(test-comb '(1 2 3 4 5) 4)
(test-comb '(1 2 3 4 5) 5)
(test-comb '(1 2 3 4 5) 5)
(test-comb "" 0)
(test-comb "" 1)
(test-comb "1" 0)
(test-comb "1" 1)
(test-comb "1" 2)
(test-comb "12" 0)
(test-comb "12" 1)
(test-comb "12" 2)
(test-comb "12" 3)
(test-comb "123" 0)
(test-comb "123" 1)
(test-comb "123" 2)
(test-comb "123" 3)
(test-comb "123" 4)
(test-comb "1234" 0)
(test-comb "1234" 1)
(test-comb "1234" 2)
(test-comb "1234" 3)
(test-comb "1234" 4)
(test-comb "1234" 5)
(test-comb "12345" 0)
(test-comb "12345" 1)
(test-comb "12345" 2)
(test-comb "12345" 3)
(test-comb "12345" 4)
(test-comb "12345" 5)
(test-comb "12345" 5)
(mtest
(comb #() -1) :error
(comb #(1) -1) :error
(comb () -1) :error
(comb '(1) -1) :error
(comb "" -1) :error
(comb "a" -1) :error)
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