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Floating point arithmetics
(eviltoast.org)
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Show how 1/3 can be precisely represented in floating point.
fl_numerator = 1
fl_denominator = 3
And division is a "stretch goal" once we get funding.
How many decimal places can it be stretched?
As usual, the best jokes are in the comments. (Though goddamn I chuckled at the meme.)
Do you have a computer type that can represent the entire rational set?
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.
No. They all need to mimic certain numbers.
So, you have a notation that can represent the entire rational set?
What exactly is being mimicked?
No. That's not what the meme is about, and that's not what we're arguing about.
Fractions.