The Haskell Prelude contains predefined classes, types, and functions that are implicitly imported into every Haskell program. As to GHC. Float. You can also see this by calculating 0.1 + 0.2, which awkwardly returns 0.30000000000000004 instead of 0.3. Make sure to truncate towards zero: a negative x must yield the closest greater integer (not lesser). Instead of using the methods from RealFrac I could simply use double2Int but I consider this a work-around. Since each floating point number is implemented in a finite number of bits, there exist numbers that can't be represented completely accurately. ... (Fractional a) => Floating a where ... truncate x yields the integer nearest x between 0 and x, inclusive. So now, we *do* have a good rule for truncate, but floor, ceiling and round turn out to be awesomely slow. main = print . And of course, ... round, truncate, and so on. Haskell/Type basics II, Float' instance Floating Double -- Defined in 'GHC. * modules, I'd agree with you, those should be used as a last resort. Idiom #80 Truncate floating point number to integer. @chi, ceiling, floor, truncate and fromIntegral are mentioned in the answer, so not quite sure why you brought them up. instance Enum Float where succ x = x + 1 pred x = x-1 toEnum = int2Float fromEnum = fromInteger. But it’s difficult to keep track of all the different ways to convert between values. To make searching easy I've included a list of functions below. We can see this effect in practice in any language that supports floating point, such as Haskell: > truncate (16777216 - 1 :: Float) 16777215 > truncate (16777216 + 1 :: Float) 16777216 Subtracting 1 gives us the decremented number, but adding 1 had no effect with floating point math! Problem Solution Examples creating a complex number from real and imaginary rectangular components Declare integer y and initialize it with the value of floating point number x.Ignore non-integer digits of x. As far as I can judge, double2Int does the same like truncate. Values of the built-in type Float are floating-point numbers: Main> 10 / 2.4 4.16667. n is an integral number with the same sign as x; and ; f is a fraction with the same type and sign as x, and with absolute value less than 1.; The default definitions of the ceiling, floor, truncate and round functions are in terms of properFraction. Trac metadata Because Haskell has more than one type of floating point numbers, this "more generic" The usual way to convert an Int to a Double is to use fromIntegral, which has the type (Integral a, Num b) => a -> b. This webpage is a HTML version of most of Bernie Pope's paper A Tour of the Haskell Prelude. See Float… A Tour of the Haskell Prelude (and a few other basic functions) Authors: Bernie Pope (original content), Arjan van IJzendoorn (HTML-isation and updates), Clem Baker-Finch (updated for Haskell 98 hierarchical libraries organisation). round x returns the nearest integer to x, the even integer if x is equidistant between two integers. Double. sumU . This isn't a haskell problem as much as a floating point problem. mapU (floor :: Double -> Int) $ enumFromToFracU 0 100000000 Runs in 1 minute, 10 seconds: $ time ./henning 5000000050000000 ./henning 70.25s … In GHC-6.6.1 these examples end with a stack overflow, but if I shorten the list, the time relations remain the same. The function properFraction takes a real fractional number x and returns a pair (n,f) such that x = n+f, and: . You can convert a floating-point number to an Int or Integer using truncate and round. You can convert an Integer to a floating-point number (Float or Double) using fromInteger. 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