#include<iostream>
#include<cmath>
using namespace std;

struct position {
	float x;
	float y;
};

// sqrt(a^2 + b^2)
float distance_from_origin(position p){
	return sqrtf((p.x * p.x) + (p.y * p.y));
}

float distance_between(position a, position b){
	float dx = a.x - b.x;
	float dy = a.y - b.y;
	return sqrtf((dx * dx) + (dy * dy));

}

position add_positions(position a, position b){
	position sum;
	sum.x = a.x + b.x;
	sum.y = a.y + b.y;
	return sum;
}

ostream& operator<<(ostream& os, position a){
	os << "(" << a.x << ", " << a.y << ")";
	return os;
}

position operator+(position a, position b){
	position sum;
	sum.x = a.x + b.x;
	sum.y = a.y + b.y;
	return sum;
}

int main(){
	position here;
	here.x = 100.2;
	here.y = 98.3;
	
	// another way to create these
	position there = {-72.1, 1.63};

	cout << "here is " << distance_from_origin(here) << " from the origin\n";
	cout << "It's " << distance_between(here, there) << " from here to there\n";

	position together = add_positions(here, there);
	cout << "Added together, these are " << together.x << ", " << together.y << "\n";

	cout << "Here is:  "  << here << "\n";
	cout << "Here plus there is:  " << here + there << "\n";

	return 0;
}