#include "stdafx.h"
#include<iostream>
#include <algorithm> //min

using namespace std;

struct Circle
{
    int x;
    int y;
    int radius;
};

struct BoundingBox
{
    int bottomLeftAngleX;
    int bottomLeftAngleY;
    int topRightAngleX;
    int topRightAngleY;
};

Circle circleCoordinates(int x, int y, int radius);
BoundingBox circleBoundingBox(Circle circle);
void extractCircleBoundingBox(BoundingBox boundingBox);
BoundingBox boundingForTwoBoxes(BoundingBox a, BoundingBox b);

void main()
{
    Circle circle_1 = circleCoordinates(4, 5, 3); //create circle
    Circle circle_2 = circleCoordinates(2, 8, 2);

    BoundingBox boundingBox_1 = circleBoundingBox(circle_1); //get bounding box of the circle
    BoundingBox boundingBox_2 = circleBoundingBox(circle_2);

    BoundingBox boundsOfTwoBoxes = boundingForTwoBoxes(boundingBox_1, boundingBox_2); // bounds two bounding boxes
    extractCircleBoundingBox(boundsOfTwoBoxes); //prints bounding box in specified format

}

BoundingBox boundingForTwoBoxes(BoundingBox a, BoundingBox b) //creates bounding box with parameter a circle
{
    BoundingBox boundingBox;

    boundingBox.bottomLeftAngleX = min(a.bottomLeftAngleX, b.bottomLeftAngleX); //gets smallest number
    boundingBox.bottomLeftAngleY = min(a.bottomLeftAngleY, b.bottomLeftAngleY);

    boundingBox.topRightAngleX = max(a.topRightAngleX, b.topRightAngleX); //gets biggest numver
    boundingBox.topRightAngleY = max(a.topRightAngleY, b.topRightAngleY);

    return boundingBox;
}

Circle circleCoordinates(int x, int y, int radius) //creates circle
{
    struct Circle circle;
    circle.x = x;
    circle.y = y;
    circle.radius = radius;

    return circle;
}

BoundingBox circleBoundingBox(Circle circle) //creates bounding box with parameter a circle
{
    BoundingBox boundingBox;

    boundingBox.bottomLeftAngleX = circle.x - circle.radius;
    boundingBox.bottomLeftAngleY = circle.y - circle.radius;

    boundingBox.topRightAngleX = circle.x + circle.radius;
    boundingBox.topRightAngleY = circle.y + circle.radius;

    return boundingBox;
}

void extractCircleBoundingBox(BoundingBox boundingBox)
{
    cout << "(" << boundingBox.bottomLeftAngleX << ", " << boundingBox.bottomLeftAngleY << ")"
        << "(" << boundingBox.topRightAngleX << ", " << boundingBox.topRightAngleY << ")";
}