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Memoized functions that do not require new top-level definitions
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parent
20ee239b59
commit
411c589133
1 changed files with 31 additions and 9 deletions
40
memo.scm
40
memo.scm
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@ -26,15 +26,15 @@
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(write (mfnc 1 1)) (newline)
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; Original versions:
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(define (ack m n)
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(cond ((= m 0) (+ n 1))
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((= n 0) (ack (- m 1) 1))
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(else (ack (- m 1) (ack m (- n 1))))))
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(define (fib n)
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(if (< n 2)
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n
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(+ (fib (- n 1))
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(fib (- n 2)))))
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;(define (ack m n)
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; (cond ((= m 0) (+ n 1))
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; ((= n 0) (ack (- m 1) 1))
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; (else (ack (- m 1) (ack m (- n 1))))))
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;(define (fib n)
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; (if (< n 2)
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; n
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; (+ (fib (- n 1))
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; (fib (- n 2)))))
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; Fast versions:
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;(define ack (memoize _ack))
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@ -50,6 +50,28 @@
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; (+ (fib (- n 1))
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; (fib (- n 2)))))
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;; New fast versions that do not introduce any new top-level definitions
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(define ack
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((lambda ()
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(define (_ack m n)
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(cond ((= m 0) (+ n 1))
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((= n 0) (__ack (- m 1) 1))
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(else (__ack (- m 1) (__ack m (- n 1))))))
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(define __ack (memoize _ack))
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__ack
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)))
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(define fib
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((lambda ()
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(define (_fib n)
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(if (< n 2)
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n
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(+ (__fib (- n 1))
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(__fib (- n 2)))))
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(define __fib (memoize _fib))
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__fib
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)))
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(write (ack 3 12))
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(newline)
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(write (fib 40))
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