问题 C: 矩形关系(运算符重载)
时间限制: 1 Sec 内存限制: 128 MB
提交: 231 解决: 88
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题目描述
假设坐标采用二维平面坐标。
定义点类CPoint,包含属性x,y(整型)。方法有:带参构造函数,getX,getY分别返回点的x坐标,y坐标。
定义矩形类CRectangle,包含属性:矩形的左上角坐标leftPoint,右下角坐标rightPoint。类中方法有:
1)带参构造函数,初始化矩形的左上角、右下角
2)重载>运算符,参数为CPoint点对象,假设为p,若p在矩形内,返回true,否则返回false。
3)重载>运算符,第一个矩形若包含第二个矩形(部分边界可以相等),返回true,否则返回false。(要求该函数调用2)实现)
4)重载==运算符,判断两个矩形是否一致,返回true或false。
5)重载*运算符,判断两个矩形是否有重叠部分,返回true或false。
6)重载类型转换运算符,计算矩形的面积并返回,面积是整型。
7)重载《运算符,输出矩形的两个角坐标,具体格式见样例。
输入2个矩形,计算面积,判断矩形的关系。主函数如下,不可修改。
可根据需要,添加构造函数和析构函数。
输入
测试次数
每组测试数据如下:
矩形1的左上角、右下角坐标
矩形2的左上角、右下角坐标
输出
每组测试数据输出如下,中间以空行分隔:
矩形1的坐标和面积(具体格式见样例)
矩形2的坐标和面积(具体格式见样例)
矩形1和矩形2的关系(矩形1包含矩形2、矩形2包含矩形1、矩形2和矩形1相等、矩形1和矩形2相交、矩形1和矩形2不相交)
样例输入
2
1 4 4 1
2 3 3 2
1 4 4 1
0 3 5 2
样例输出
矩形1:1 4 4 1 9
矩形2:2 3 3 2 1
矩形1包含矩形2
矩形1:1 4 4 1 9
矩形2:0 3 5 2 5
矩形1和矩形2相交
提示.
#includeusing namespace std; class CPoint { int x, y; public: CPoint() {}; CPoint(int _x, int _y) :x(_x), y(_y) {}; int getX() { return x; } int getY() { return y; } bool operator == (const CPoint &obj) { return x == obj.x && y == obj.y; } }; class CRectangle { CPoint leftPoint, rightPoint; public: CRectangle() {}; CRectangle(int x1, int y1, int x2, int y2) :leftPoint(x1, y1), rightPoint(x2, y2) {}; bool operator >(CPoint& c) { return c.getY() >= rightPoint.getY() && c.getY() <= leftPoint.getY() && c.getX() <= rightPoint.getX() && c.getX() >= leftPoint.getX(); } bool operator >(CRectangle& c) { return c.rightPoint.getY() >= rightPoint.getY() && c.rightPoint.getX() >= leftPoint.getX() && c.rightPoint.getX() <= rightPoint.getX() && c.rightPoint.getY() <= leftPoint.getY()&& c.leftPoint.getY() >= rightPoint.getY() && c.leftPoint.getX() >= leftPoint.getX() && c.leftPoint.getX() <= rightPoint.getX() && c.leftPoint.getY() <= leftPoint.getY() ; } bool operator ==(CRectangle& obj) { return (leftPoint == obj.leftPoint) && (rightPoint == obj.rightPoint); } operator int() { return (leftPoint.getY() - rightPoint.getY()) * (rightPoint.getX() - leftPoint.getX()); } friend ostream& operator <<(ostream& os, CRectangle& d); bool operator *(CRectangle& obj) { return obj.leftPoint.getY() >= rightPoint.getY() && obj.leftPoint.getY() <= leftPoint.getY() || obj.leftPoint.getX() <= rightPoint.getX() && obj.leftPoint.getX() >= leftPoint.getX(); } }; ostream& operator <<(ostream& os, CRectangle& d) { os << d.leftPoint.getX() << " " << d.leftPoint.getY() << " " << d.rightPoint.getX() << " " << d.rightPoint.getY(); return os; } int main() { int t, x1, x2, y1, y2; cin >> t; while (t--) { cin >> x1 >> y1 >> x2 >> y2; CRectangle rect1(x1, y1, x2, y2); cin >> x1 >> y1 >> x2 >> y2; CRectangle rect2(x1, y1, x2, y2); cout << "矩形1:" << rect1 << " " << (int)rect1 << endl; cout << "矩形2:" << rect2 << " " << (int)rect2 << endl; if (rect1 == rect2) cout << "矩形1和矩形2相等" << endl; else if (rect2 > rect1) cout << "矩形2包含矩形1" << endl; else if (rect1 > rect2) cout << "矩形1包含矩形2" << endl; else if (rect1 * rect2) cout << "矩形1和矩形2相交" << endl; else cout << "矩形1和矩形2不相交" << endl; cout << endl; } return 0; }



