1、设计简单几何工厂类，支持点、折线、圆形、矩形、三角形、多边线等几何形状。要求： （1）几何支持求面积、周长、判断是否包含给定点、几何类型、判断两个几何是否相交等 操作； （2）支持下列简单几何文本格式： Circle centerx entery radius Rectangle xmin ymin xmax ymax Triangle ax ay bx by cx cy

我可以为您提供一个简单的几何工厂类的设计，如下所示：

class GeometryFactory {
public:
enum GeometryType {
POINT,
LINE,
CIRCLE,
RECTANGLE,
TRIANGLE,
POLYGON
};

class Geometry {
public:
virtual double area() const = 0;
virtual double perimeter() const = 0;
virtual bool contains(const Point& point) const = 0;
virtual GeometryType type() const = 0;
virtual bool intersects(const Geometry& other) const = 0;
};

class Point : public Geometry {
public:
Point(double x, double y);
double area() const override;
double perimeter() const override;
bool contains(const Point& point) const override;
GeometryType type() const override;
bool intersects(const Geometry& other) const override;
private:
double x_;
double y_;
};

class Line : public Geometry {
public:
Line(const std::vector<Point>& points);
double area() const override;
double perimeter() const override;
bool contains(const Point& point) const override;
GeometryType type() const override;
bool intersects(const Geometry& other) const override;
private:
std::vector<Point> points_;
};

class Circle : public Geometry {
public:
Circle(double center_x, double center_y, double radius);
double area() const override;
double perimeter() const override;
bool contains(const Point& point) const override;
GeometryType type() const override;
bool intersects(const Geometry& other) const override;
private:
double center_x_;
double center_y_;
double radius_;
};

class Rectangle : public Geometry {
public:
Rectangle(double x_min, double y_min, double x_max, double y_max);
double area() const override;
double perimeter() const override;
bool contains(const Point& point) const override;
GeometryType type() const override;
bool intersects(const Geometry& other) const override;
private:
double x_min_;
double y_min_;
double x_max_;
double y_max_;
};

class Triangle : public Geometry {
public:
Triangle(const Point& a, const Point& b, const Point& c);
double area() const override;
double perimeter() const override;
bool contains(const Point& point) const override;
GeometryType type() const override;
bool intersects(const Geometry& other) const override;
private:
Point a_;
Point b_;
Point c_;
};

class Polygon : public Geometry {
public:
Polygon(const std::vector<Point>& points);
double area() const override;
double perimeter() const override;
bool contains(const Point& point) const override;
GeometryType type() const override;
bool intersects(const Geometry& other) const override;
private:
std::vector<Point> points_;
};

static std::unique_ptr<Geometry> createGeometry(const std::string& text);
};

这个几何工厂类支持点、折线、圆形、矩形、三角形、多边线等几何形状，并且支持求面积、周长、判断是否包含给定点、几何类型、判断两个几何是否相交等操作。它还支持下列简单几何文本格式：

Circle centerx entery radius
Rectangle xmin ymin xmax ymax
Triangle ax ay bx by cx cy

您可以使用 createGeometry() 方法来创建一个几何对象，该方法将接受一个简单几何文本格式的字符串作为参数，并返回一个指向 Geometry 对象的 unique_ptr。