Created
December 23, 2013 17:43
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fibonacci in haskell
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| import Data.Ratio | |
| data Q5 = Rational :+ Rational deriving (Show) | |
| instance Num Q5 where | |
| (a :+ b) + (c :+ d) = (a + c) :+ (b + d) | |
| (a :+ b) * (c :+ d) = (a * c + 5 * b * d) :+ (a * d + b * c) | |
| phi = (1 % 2) :+ (1 % 2) | |
| fib n = let a :+ b = phi ^ n in round(2 * b) |
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