How do I check if one vector is a subset of another?

Question

Currently, I think my best option is to use std::set_intersection, and then check if the size of the smaller input is the same as the number of elements filled by set_intersecti

Answer 1

Try this:

if (std::includes(set_one.begin(), set_one.end(),
                  set_two.begin(), set_two.end()))
{
// ...
}

About includes().

The includes() algorithm compares two sorted sequences and returns true if every element in the range [start2, finish2) is contained in the range [start1, finish1). It returns false otherwise. includes() assumes that the sequences are sorted using operator<(), or using the predicate comp.

runs in

At most ((finish1 - start1) + (finish2 - start2)) * 2 - 1 comparisons are performed.

Plus O(nlog(n)) for sorting vectors. You won't get it any faster than that.