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purescript-hugenums

This is a library for working with numbers of arbitrarily finite size.

Javascript (and to some extension Purescript) has quite a few drawbacks when it comes to large numbers. For example, Purescript's Int primitive is a member of the Bounded typeclass, with top == 2 ^ 31 - 1 and bottom == - (2 ^ 32).

The Purescript Number primitive is not Bounded in the same way; however, there are problems with manipulating large-enough Numbers:

> import Prelude
> let x = 900000000000000000.0
> :t x
Number

> x + 1.0 == x
true
> x + 1.0
900000000000000000

In this library, correctness is prioritized above all else:

> import Data.HugeNum
> let x = fromNumber 900000000000000000.0
> let y = fromNumber 1.0
> x + y == x
false

> x + y
HugeNum 900000000000000001.0

Addition is implemented using an elementary-school method. Multiplication follows Karatsuba.

documentation

Available on pursuit.

integers

There is also a newtype for integral values in Data.HugeInt.

installation

bower install purescript-hugenums