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Comparing Real Numbers

Comparing whether or not two real numbers are identical is problematic due to rounding errors. See the below C++ example for an illustration:

// {...}
int main() {
cout << (sqrt(3) * sqrt(3) - 3) << endl
<< (sqrt(3) * sqrt(3) == 3) << endl
<< (fabs(sqrt(3) * sqrt(3) - 3) < 0.0000001) << endl;
}
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