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(^) :: (Num a, Integral b) => a -> b -> a
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_ ^ 0 = 1
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x ^ n | n > 0 = f x (n-1) x where
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f _ 0 y = y
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f a d y = g a d where
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g b i | even i = g (b*b) (i `quot` 2)
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| otherwise = f b (i-1) (b*y)
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_ ^ _ = error "Prelude.^: negative exponent"
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(^^) :: (Fractional a, Integral b) => a -> b -> a
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x ^^ n = if n >= 0 then x^n else recip (x^(negate n))
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(**) :: Floating a => a -> a -> a
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x ** y = exp (log x * y)
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