Difference between revisions of "Memoization"
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(Int type for list indexes) |
(link to The Fibonacci sequence) |
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'''Memoization''' is a technique for storing values of a function instead of recomputing them each time the function is called. |
'''Memoization''' is a technique for storing values of a function instead of recomputing them each time the function is called. |
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| − | A classic example is the recursive computation of [[Fibonacci |
+ | A classic example is the recursive computation of [[The Fibonacci sequence|Fibonacci numbers]]. |
| − | The |
+ | The naive implementation of Fibonacci numbers without memoization is horribly slow. |
Try <hask>slow_fib 30</hask>, not too much higher than that and it hangs. |
Try <hask>slow_fib 30</hask>, not too much higher than that and it hangs. |
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<haskell> |
<haskell> |
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Revision as of 20:31, 5 August 2007
Memoization is a technique for storing values of a function instead of recomputing them each time the function is called.
A classic example is the recursive computation of Fibonacci numbers.
The naive implementation of Fibonacci numbers without memoization is horribly slow.
Try slow_fib 30, not too much higher than that and it hangs.
slow_fib :: Int -> Integer
slow_fib 0 = 0
slow_fib 1 = 1
slow_fib n = slow_fib (n-2) + slow_fib (n-1)
The memoized version is much faster.
Try memoized_fib 10000.
memoized_fib :: Int -> Integer
memoized_fib =
let fib 0 = 0
fib 1 = 1
fib n = memoized_fib (n-2) + memoized_fib (n-1)
in (map fib [0 ..] !!)