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5
Task/Ackermann-function/Scheme/ackermann-function-1.ss
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Task/Ackermann-function/Scheme/ackermann-function-1.ss
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@ -0,0 +1,5 @@
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(define (A m n)
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(cond
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((= m 0) (+ n 1))
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((= n 0) (A (- m 1) 1))
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(else (A (- m 1) (A m (- n 1))))))
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Task/Ackermann-function/Scheme/ackermann-function-2.ss
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Task/Ackermann-function/Scheme/ackermann-function-2.ss
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(define (A m n)
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(letrec ((A-stream
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(cons-stream
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(ints-from 1) ;; m = 0
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(cons-stream
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(ints-from 2) ;; m = 1
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(cons-stream
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;; m = 2
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(stream-map (lambda (n)
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(1+ (* 2 (1+ n))))
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(ints-from 0))
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(cons-stream
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;; m = 3
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(stream-map (lambda (n)
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(- (knuth-up-arrow 2 (- m 2) (+ n 3)) 3))
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(ints-from 0))
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;; m = 4...
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(stream-tail A-stream 3)))))))
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(stream-ref (stream-ref A-stream m) n)))
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(define (ints-from n)
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(letrec ((ints-rec (cons-stream n (stream-map 1+ ints-rec))))
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ints-rec))
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(define (knuth-up-arrow a n b)
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(let loop ((n n) (b b))
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(cond ((= b 0) 1)
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((= n 1) (expt a b))
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(else (loop (-1+ n) (loop n (-1+ b)))))))
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