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On my run through the haskell language, I implement my hello world like program for every language which is fibonacci.
Here is my haskell implementation:
diffsquares a b = 2*n*b + n^2
where n = (a-b)
fib :: Integer -> Integer
fib 0 = 0
fib 1 = 1
fib 2 = 1
fib n | (n `mod` 2) == 0 = diffsquares (fib ((n `div` 2) + 1)) (fib ((n `div` 2) - 1))
| otherwise = (fib (n `div` 2))^2 + (fib ((n `div` 2) + 1))^2
Diffsquares is a little differencing squares hack only squaring the distance between the two numbers. The fibonacci implementation is based on fib(n)^2 + fib(n+1)^2 = fib(2n+1)
Anonymous
April 26 2005, 02:35:08 UTC 7 years ago
the evolution of a haskell programmer
See this link for the evolution of a haskell programmer:http://www.willamette.edu/~fruehr/haskel
peace,
isaac
April 26 2005, 03:02:57 UTC 7 years ago
diffsquares a b = (a + b) * (a - b)
I'm unclear on what advantages the formula you use has.
April 26 2005, 18:44:16 UTC 7 years ago
2 2
(%o1) a - b
See, you gain no benefit with that formula because you are stuck squaring both numbers. Mine squares the distance between a and b and add it to 2*distance*b.
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Anonymous
April 26 2005, 09:23:13 UTC 7 years ago
Keep it simple...
fibs = 1 : 1 : [ a+b | (a,b) <- zip fibs (tail fibs) ]fib n = fibs !! n
nfibs n = take n fibs
Rene
(source: http://www.haskell.org/tutorial/function
April 26 2005, 18:42:48 UTC 7 years ago
Re: Keep it simple...
That is ridiculously slow. That only calculates in linear time, this is logarithmic7 years ago
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