Part: add functions to return the number of nodes and triangles of a tessellation

src/Mod/Part/App/TopoShapeEdgePy.xml

@@ -347,6 +347,11 @@ Part.show(s)
           </UserDocu>
         </Documentation>
       </Methode>
+      <Methode Name="countNodes" Const="true">
+      <Documentation>
+        <UserDocu>Returns the number of nodes of the 3D polygon of the edge.</UserDocu>
+      </Documentation>
+      </Methode>
       <Methode Name="split" Const="true">
         <Documentation>
           <UserDocu>Splits the edge at the given parameter values and builds a wire out of it

src/Mod/Part/App/TopoShapeEdgePyImp.cpp

@@ -630,6 +630,23 @@ PyObject* TopoShapeEdgePy::discretize(PyObject *args, PyObject *kwds)
     return nullptr;
 }
 
+PyObject* TopoShapeEdgePy::countNodes(PyObject *args)
+{
+    if (!PyArg_ParseTuple(args, ""))
+        return nullptr;
+
+    const TopoDS_Shape& shape = this->getTopoShapePtr()->getShape();
+    TopoDS_Edge aEdge = TopoDS::Edge(shape);
+    TopLoc_Location aLoc;
+    const Handle(Poly_Polygon3D)& aPoly = BRep_Tool::Polygon3D(aEdge, aLoc);
+    int count = 0;
+    if (!aPoly.IsNull()) {
+        count = aPoly->NbNodes();
+    }
+
+    return Py::new_reference_to(Py::Long(count));
+}
+
 PyObject* TopoShapeEdgePy::split(PyObject *args)
 {
     PyObject* float_or_list;

src/Mod/Part/App/TopoShapeFacePy.xml

@@ -107,6 +107,16 @@ validate()
                 </UserDocu>
             </Documentation>
         </Methode>
+        <Methode Name="countNodes" Const="true">
+        <Documentation>
+          <UserDocu>Returns the number of nodes of the triangulation.</UserDocu>
+        </Documentation>
+        </Methode>
+        <Methode Name="countTriangles" Const="true">
+        <Documentation>
+          <UserDocu>Returns the number of triangles of the triangulation.</UserDocu>
+        </Documentation>
+        </Methode>
         <Methode Name="curveOnSurface" Const="true">
             <Documentation>
                 <UserDocu>Returns the curve associated to the edge in the parametric space of the face.

src/Mod/Part/App/TopoShapeFacePyImp.cpp

@@ -757,6 +757,40 @@ PyObject* TopoShapeFacePy::validate(PyObject *args)
     }
 }
 
+PyObject* TopoShapeFacePy::countNodes(PyObject *args)
+{
+    if (!PyArg_ParseTuple(args, ""))
+        return nullptr;
+
+    const TopoDS_Shape& shape = this->getTopoShapePtr()->getShape();
+    TopoDS_Face aFace = TopoDS::Face(shape);
+    TopLoc_Location aLoc;
+    const Handle(Poly_Triangulation)& aTriangulation = BRep_Tool::Triangulation(aFace, aLoc);
+    int count = 0;
+    if (!aTriangulation.IsNull()) {
+        count = aTriangulation->NbNodes();
+    }
+
+    return Py::new_reference_to(Py::Long(count));
+}
+
+PyObject* TopoShapeFacePy::countTriangles(PyObject *args)
+{
+    if (!PyArg_ParseTuple(args, ""))
+        return nullptr;
+
+    const TopoDS_Shape& shape = this->getTopoShapePtr()->getShape();
+    TopoDS_Face aFace = TopoDS::Face(shape);
+    TopLoc_Location aLoc;
+    const Handle(Poly_Triangulation)& aTriangulation = BRep_Tool::Triangulation(aFace, aLoc);
+    int count = 0;
+    if (!aTriangulation.IsNull()) {
+        count = aTriangulation->NbTriangles();
+    }
+
+    return Py::new_reference_to(Py::Long(count));
+}
+
 PyObject* TopoShapeFacePy::curveOnSurface(PyObject *args)
 {
     PyObject* e;