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import Data.List
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import Data.Array
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import Control.Monad
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import Control.Arrow
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import Matrix.LU
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ppoly p x = map (x**) p
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polyfit d ry = elems $ solve mat vec where
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mat = listArray ((1,1), (d,d)) $ liftM2 concatMap ppoly id [0..fromIntegral $ pred d]
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vec = listArray (1,d) $ take d ry
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*Main> polyfit 3 [1,6,17,34,57,86,121,162,209,262,321]
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[1.0,2.0,3.0]
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