Compare names for smart matching

MyHeritage.cpp

#include <string>
#include <set>
#include <iostream>
#include <algorithm>
#include <vector>
#include <sstream>

using namespace std;

void split(const string &s, char delim, vector<string> &elems) {
    stringstream ss(s);
    string item;
    while (getline(ss, item, delim)) {
        elems.push_back(item);
    }
}

bool match(string& a, string& b) {
	return a.compare(b) == 0 || 
		((a.size() == 1 || b.size() == 1) && a[0] == b[0]);
}

bool isEqual(string s1, string s2) {
	// move both string to upper case
	transform(s1.begin(), s1.end(), s1.begin(), ::toupper);
	transform(s2.begin(), s2.end(), s2.begin(), ::toupper);

	vector<string> s1vector;
	vector<string> s2vector;
	
	split(s1, ' ', s1vector);
    split(s2, ' ', s2vector);

	if (s1vector.size() < s2vector.size()) {
		s1vector.swap(s2vector);
	}

	int j=0;
	for (int i=0 ; i < s1vector.size() && j < s2vector.size() ; i++) {
		if (match(s1vector[i], s2vector[j])) {
			j++;
		}
	}

	return j == s2vector.size();
}

void test(string s1, string s2) {
	cout << s1 << (isEqual(s1,s2) ? "=" : "!=") << s2 << endl;
}

int main() {
	// Should be equal
	test("John Fitzgerald Kennedy", "John K");
	test("John Fitzgerald", "J F K");
	test("J F K", "John Fitzgerald");
	test("John Fitzgerald K","J F K");
	test("John Fitzgerald K","J F Kennedy");
	test("John Fitzgerald K","JOHN F Kennedy");

	// Shouldn't be equal
	test("John K Fitzgerald","J F Kennedy");
	test("John Fitzgerald K","Jon");
}