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Showing content from https://cplusplus.com/reference/set/set/value_comp/ below:

public member function

<set>

value_compare value_comp() const;

Return comparison object

By default, this is a less object, which returns the same as operator<.

This object determines the order of the elements in the container: it is a function pointer or a function object that takes two arguments of the same type as the container elements, and returns true if the first argument is considered to go before the second in the strict weak ordering it defines, and false otherwise.

Two elements of a set are considered equivalent if value_comp returns false reflexively (i.e., no matter the order in which the elements are passed as arguments).

In set containers, the keys to sort the elements are the values themselves, therefore value_comp and its sibling member function key_comp are equivalent.

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// set::value_comp
#include <iostream>
#include <set>

int main ()
{
  std::set<int> myset;

  std::set<int>::value_compare mycomp = myset.value_comp();

  for (int i=0; i<=5; i++) myset.insert(i);

  std::cout << "myset contains:";

  int highest=*myset.rbegin();
  std::set<int>::iterator it=myset.begin();
  do {
    std::cout << ' ' << *it;
  } while ( mycomp(*(++it),highest) );

  std::cout << '\n';

  return 0;
}

myset contains: 0 1 2 3 4

set::key_comp

Return comparison object (public member function)

set::find

Get iterator to element (public member function)

set::count

Count elements with a specific value (public member function)

set::lower_bound

Return iterator to lower bound (public member function)

set::upper_bound

Return iterator to upper bound (public member function)

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