Comparison operators

7.2.5 Comparison operators

bool operator==(const kaucher_interval<T>& o) const; 
bool operator!=(const kaucher_interval<T>& o) const; 
bool operator==(const std::pair<T,T>& o) const; 
bool operator!=(const std::pair<T,T>& o) const;

These two operators check the equality or inequality of the infinimum and supremum element-wise. Let $T,O ∈KR$ with $T$ being the current instance, this and $O$ being the given other interval to compare to, that is o:

operator==(const kaucher_interval<T>&) and operator==(const std::pair<T,T>&): Set equality operation, as defined as $(t= o)∧ (t= o)$ . With either an other interval or a std::pair whose first element is interpreted as $o$ and second element $o$ .
operator!=(const kaucher_interval<T>&) and operator!=(const std::pair<T,T>&): Set inequality operation, as defined as $(t̸= o)∨ (t̸= o)$ . With either an other interval or a std::pair whose first element is interpreted as $o$ and second element $o$ .

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