Set operations

5.4.2 Set operations

interval<T> hull(const interval<T>& a, const interval<T>& b); 
interval<T> intersection(const interval<T>& a, const interval<T>& b); 
interval<T> between(const interval<T>& a, const interval<T>& b);

hull(const interval<T>& a, const interval<T>& b): Returns an interval that contains both $A$ and $B$ .
intersection(const interval<T>& a, const interval<T>& b): Returns an interval that is the intersection of $A$ and $B$ .
between(const interval<T>& a, const interval<T>& b): Return an interval, that is between the two given intervals. If the given intervals overlap or are unbounded the resulting interval will be $∅$ .

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