feat(tdcgal/plane/plane.cpp-tdcgal/plane/objects.py): add Triangle2d

BREAKING CHANGE:

tdcgal/plane/objects.py

@@ -410,4 +410,29 @@ class Circle2D(Shape2D, Circle_2):
     def general_equation(self) -> str:
         return f"{str(self._expression.expand())} = 0"
 
+# 三角形类
+class Triangle2D(Shape2D, Triangle_2):
+    def __init__(
+        self,
+        points: Tuple[
+            Union[Point2D, Tuple[float, float]],
+            Union[Point2D, Tuple[float, float]],
+            Union[Point2D, Tuple[float, float]],
+        ] = None,
+        **kwargs,
+    ):
+        """
+        三角形Triangle2D的初始化方法
+
+        Args:
+            points: 三个端点
+        """
+        Shape2D.__init__(self, **kwargs)
+        points = [point_maker(p) for p in points]
+        Triangle_2.__init__(self, *points)
+    
+    # 重载`repr`方法，返回Triangle2D的字符串表示
+    def __repr__(self) -> str:
+        return f"Triangle2D(points: {[self.vertex(i) for i in range(3)]})"
+    
     

tdcgal/plane/plane.cpp

@@ -204,6 +204,32 @@ void init_plane(py::module_ &m) {
       .def("opposite", &Circle_2::opposite, "返回反向的圆")
       .def("orthogonal_transform", &Circle_2::orthogonal_transform)
       .def("bbox", &Circle_2::bbox, "返回圆的边界框");
+  
+  py::module_<Triangle_2>(m, "Triangle_2")
+     .def(py::init<Point_2, Point_2, Point_2>())
+     .def("vertex", &Triangle_2::vertex, "返回第`i % 3`个顶点, `i`是参数")
+     .def("vertices", &Triangle_2::vertices, "返回三角形的三个顶点")
+     .def(py::self == py::self)
+     .def(py::self != py::self)
+     .def("area", &Triangle_2::area, "返回三角形的面积")
+     .def("is_degenerate", &Triangle_2::is_degenerate, "判断三角形是否退化")
+     .def("orientation", &Triangle_2::orientation, "返回三角形的方向")
+     .def("oriented_side", &Triangle_2::oriented_side,
+           "判断点和三角形之间的位置关系")
+     .def("bounded_side", &Triangle_2::bounded_side, "判断点和三角形的边界位置关系"
+          "判断点是否在三角形的边上")
+      .def("has_on_positive_side", &Triangle_2::has_on_positive_side,
+           "判断点是否在三角形的正面上")
+      .def("has_on_negative_side", &Triangle_2::has_on_negative_side,
+           "判断点是否在三角形的负面上")
+      .def("has_on_boundary", &Triangle_2::has_on_boundary)
+      .def("has_on_bounded_side", &Triangle_2::has_on_bounded_side,
+           "判断点是否在三角形的边界上")
+      .def("has_on_unbounded_side", &Triangle_2::has_on_unbounded_side,
+           "判断点是否在三角形的内部")
+      .def("opposite", &Triangle_2::opposite, "返回反向的三角形")
+      .def("bbox", &Triangle_2::bbox, "返回三角形的边界框")
+      .def("transform", &Triangle_2::transform, "返回经过变换后的三角形")
 
   m.def("squared_distance", &squared_distance<Point_2, Point_2>,
         "返回两个点的平方距离");