Glasgow Haskell Compiler; GHC; Issues #2223; Closed Open Opened Apr 16, 2008 by gnezdo @trac-gnezdo

maxCollatz :: (Integer, Integer) maxCollatz = (head $ maximum (map collatzList [1..500]), toInteger $ length $ maximum (map collatzList [1..500])) Just add toInteger $ before length.

(Those languages, however, are dynamically typed.) The standard types include fixed- and arbitrary-precision integers, ratios (rational numbers) formed from each integer type, and single- and double-precision real and complex floating-point. fromInteger . toInteger === id toRational . toInteger === toRational. Conversions must be lossless, that is, they do not round in any way.

Tointeger haskell

When you write numerical code, then, you use whatever functions you need and choose the numeric typeclasses they require. ringPower:: (Ca, Cb) => b -> a -> a. fieldPower:: (Ca, Cb) => b -> a -> a. Documentation.

Now we can define intToInteger (or, more precisely, the toInteger method of the Integral Int instance in GHC.Real) thus toInteger (I # i) = smallInteger i And we have a RULE for integerToInt (smallInteger i). Representing integers. We stick to the LitInteger representation (which hides the concrete representation) as late as possible in the compiler.

Input: Output: A particular Haskell implementation might provide other integral types in addition to these. Note that Integral is a subclass of Real, rather than of Num directly; this means that there is no attempt to provide Gaussian integers. All other numeric types fall in the class Fractional, which provides the ordinary division operator (/). Module: Prelude: Function: fromInteger: Type: Num a => Integer -> a Class: Num: Description: An integer literal represents the application of the function fromInteger to the appropriate value of type Integer.

Module: Prelude: Function: fromInteger: Type: Num a => Integer -> a Class: Num: Description: An integer literal represents the application of the function fromInteger to the appropriate value of type Integer.

In this chapter the entire Haskell Prelude is given.

With the instances for Float and Double we acknowledge that these types actually represent rationals rather than (approximated) real numbers. fromInteger . toInteger === id toRational .
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The two classes Cand Cexist to allow convenient conversions,primarily between the built-in types.

The functional programming language Haskell is introduced; its integral types are explained and function definition is described. Haskell has functions for working on values with context. ○ Apply a function to a value with context <$>. ○ fmap :: (a -> b) -> f a -> f b.
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Integral(quot, rem, div, mod, quotRem, divMod, toInteger), Fractional((/) be expressed directly in Haskell since the constructor lists would be -- far too large.

Conversions must be lossless, that is, they do not round in any way. For rounding see Algebra.RealRing.