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Floating point arithmetics
(eviltoast.org)
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Yes. Have a structure with 2 BigInts. Treat one as the numerator. The other as denominators.
It might not be efficient or fast. But it is possible.
You are proposing that can represent the entire rational set?
Yes that is correct. A BigInt represents the entire integer set.
Rational numbers are defined by just 2 integers. Therefore, 2 BigInts represent the entire rational set.