A library to make exact calculations with rational numbers 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 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, Infinity or NaN.
See the Q Class Reference for further informations.
This is a preliminary documentation and may be subject to change at any time.