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decode (encode NaN) /= NaN
The IEEE "not-a-number" (NaN) value is not encoded properly, since encode uses decodeFloat, which is unspecified for NaN (cf. Prelude).
Examples:
(0 / 0 :: Double) = NaN
(decode (encode (0 / 0 :: Double)) :: Double) = -Infinity
(log (-1) :: Double) = NaN
(decode (encode (log (-1) :: Double)) :: Double) = Infinity
(0 / 0 :: Float) = NaN
(decode (encode (0 / 0 :: Float)) :: Float) = -Infinity