https://github.com/fasttime/q-exact

A library for exact calculations with rational numbers
https://github.com/fasttime/q-exact

arithmetic exact math q rational

Last synced: about 2 months ago
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A library for exact calculations with rational numbers

• Host: GitHub
• URL: https://github.com/fasttime/q-exact
• Owner: fasttime
• License: isc
• Created: 2014-12-22T15:23:00.000Z (about 10 years ago)
• Default Branch: master
• Last Pushed: 2019-04-24T04:24:06.000Z (over 5 years ago)
• Last Synced: 2024-10-13T14:14:43.691Z (3 months ago)
• Topics: arithmetic, exact, math, q, rational
• Language: JavaScript
• Homepage:
• Size: 154 KB
• Stars: 0
• Watchers: 3
• Forks: 0
• Open Issues: 1
• Metadata Files:
  • Readme: readme.md
  • License: license.txt

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README

        
Q-exact

=======

A library to make exact calculations with [rational numbers](http://mathworld.wolfram.com/RationalNumber.html) without rounding errors.

Compare this:

`1 / 49 * 49` ▶ `0.9999999999999999`

with this:

`Q(1).over(49).times(49)` ▶ `1`

Q-exact overcomes some of the classic limitations of [floating-point arithmetic](http://mathworld.wolfram.com/Floating-PointArithmetic.html) by requiring that all results be expressed exactly, or not at all.

Rational numbers in Q-exact are stored as products of prime factors.

For example, **-75/28** is represented as **-2-2⋅3⋅52⋅7-1**.

There is no way to represent [irrational numbers](http://mathworld.wolfram.com/IrrationalNumber.html), `Infinity` or `NaN`.

See the [**Q Class Reference**](Q-exact.md) for further informations.

*This is a preliminary documentation and may be subject to change at any time.*