C++를 통해 빠르고 반응성이 뛰어난 게임 엔진을 개발하는 방법은 무엇입니까?

class QuadTree {
public:
    QuadTree(Rectangle rect, int maxObjects) : m_rect(rect), m_maxObjects(maxObjects) {}

    void insert(Object object) {
        if (m_nodes.empty()) {
            m_objects.push_back(object);
            if (m_objects.size() > m_maxObjects) {
                split();
            }
        } else {
            int index = getIndex(object);
            if (index != -1) {
                m_nodes[index].insert(object);
            } else {
                m_objects.push_back(object);
            }
        }
    }
    
    void split() {
        float subWidth = m_rect.width / 2.0f;
        float subHeight = m_rect.height / 2.0f;
        float x = m_rect.x;
        float y = m_rect.y;

        m_nodes.push_back(QuadTree(Rectangle(x + subWidth, y, subWidth, subHeight), m_maxObjects));
        m_nodes.push_back(QuadTree(Rectangle(x, y, subWidth, subHeight), m_maxObjects));
        m_nodes.push_back(QuadTree(Rectangle(x, y + subHeight, subWidth, subHeight), m_maxObjects));
        m_nodes.push_back(QuadTree(Rectangle(x + subWidth, y + subHeight, subWidth, subHeight), m_maxObjects));
        
        for (auto &object : m_objects) {
            int index = getIndex(object);
            if (index != -1) {
                m_nodes[index].insert(object);
            }
        }
        
        m_objects.clear();
    }

private:
    int getIndex(Object object) {
        if (object.x < m_rect.x || object.y < m_rect.y || object.x > m_rect.x + m_rect.width || object.y > m_rect.y + m_rect.height) {
            return -1;
        }
        
        float verticalMidpoint = m_rect.x + m_rect.width / 2.0f;
        float horizontalMidpoint = m_rect.y + m_rect.height / 2.0f;
        
        bool topQuadrant = (object.y < horizontalMidpoint && object.y + object.height < horizontalMidpoint);
        bool bottomQuadrant = (object.y > horizontalMidpoint);
        
        if (object.x < verticalMidpoint && object.x + object.width < verticalMidpoint) {
            if (topQuadrant) {
                return 1;
            } else if (bottomQuadrant) {
                return 2;
            }
        } else if (object.x > verticalMidpoint) {
            if (topQuadrant) {
                return 0;
            } else if (bottomQuadrant) {
                return 3;
            }
        }
        
        return -1;
    }

private:
    Rectangle m_rect;
    int m_maxObjects;
    std::vector<Object> m_objects;
    std::vector<QuadTree> m_nodes;
};

#include <iostream>
#include <vector>
#include <thread>
#include <mutex>

std::mutex mtx;

void calculate(std::vector<int>& nums, int start, int end) {
    for (int i = start; i < end; ++i) {
        // 计算任务
        // ...
    }
    
    std::lock_guard<std::mutex> lock(mtx);
    // 更新共享数据
    // ...
}

int main() {
    int numThreads = std::thread::hardware_concurrency();
    std::vector<std::thread> threads(numThreads);
    std::vector<int> nums;
    
    // 初始化数据
    
    int blockSize = nums.size() / numThreads;
    
    for (int i = 0; i < numThreads; ++i) {
        int start = i * blockSize;
        int end = (i == numThreads - 1) ? nums.size() : (i + 1) * blockSize;
        
        threads[i] = std::thread(calculate, std::ref(nums), start, end);
    }
    
    for (int i = 0; i < numThreads; ++i) {
        threads[i].join();
    }
    
    return 0;
}

bool isColliding(const Rectangle& rect1, const Rectangle& rect2) {
    float rect1Left = rect1.x;
    float rect1Right = rect1.x + rect1.width;
    float rect1Top = rect1.y;
    float rect1Bottom = rect1.y + rect1.height;
    
    float rect2Left = rect2.x;
    float rect2Right = rect2.x + rect2.width;
    float rect2Top = rect2.y;
    float rect2Bottom = rect2.y + rect2.height;
    
    if (rect1Right < rect2Left || rect1Left > rect2Right || rect1Bottom < rect2Top || rect1Top > rect2Bottom) {
        return false;
    }
    
    return true;
}