Square in a two-dimensional space. More...
#include <Square2d.h>
Inheritance diagram for Square2d:
Collaboration diagram for Square2d:
Public Member Functions | |
| Square2d (const GEOM_FT &l=1.0) | |
| Square2d (const Pos2d &o, const GEOM_FT &l=1.0) | |
| virtual GeomObj * | getCopy (void) const |
| Constructor virtual. | |
 Public Member Functions inherited from Quadrilateral2d | |
| Quadrilateral2d (void) | |
| Default constructor. | |
| Quadrilateral2d (const Pos2d &p1, const Pos2d &p2, const Pos2d &p3, const Pos2d &p4) | |
| Constructor. | |
| void | push_back (const Pos2d &) |
| Back inserter. | |
| std::vector< double > | getNaturalCoordinates (const Pos2d &) const |
| Return natural coordinates for point xy (in cartesian coord.) based on $ 23.6 from Felippa book:"Introduction to Finite Element Methods" see IFEM.Ch23.pdf. More... | |
| std::vector< std::vector< double > > | getNaturalCoordinates (const std::list< Pos2d > &) const |
| Return natural coordinates for points xy (in cartesian coord.) More... | |
| boost::python::list | getNaturalCoordinatesPy (const boost::python::list &) const |
| Return natural coordinates for points xy (in cartesian coord.) More... | |
| std::vector< double > | Ni (const Pos2d &) const |
| Return the values of the shape functions for the point argument. More... | |
| std::vector< std::vector< double > > | Ni (const std::list< Pos2d > &) const |
| Return a vector of vectors containing the values of the shape functions for the points in the argument list. More... | |
| boost::python::list | NiPy (const Pos2d &) const |
| Return a Python list containing the values of the shape functions for the point argument. More... | |
| boost::python::list | NiPy (const boost::python::list &) const |
| Return a Python list containing the values of the shape functions for the points in the argument list. More... | |
| Pos2d | getMidpoint (void) const |
| Return the intersection between the lines that join the midpoints of the quadrilateral sides. More... | |
| Triangle2d | getFirstTriangle (void) const |
| Triangle2d | getSecondTriangle (void) const |
| Pos2dArray | genMesh (int n1, int n2) const |
| Returns a point grid. | |
| Pos2dArray | genBilinMesh (const size_t &n1, const size_t &n2) const |
| Returns a point grid (the routine is taken from OpenSees). | |
| Public Member Functions inherited from Polygon2d | |
| Polygon2d (void) | |
| Default constructor. | |
| Polygon2d (const GeomObj::list_Pos2d &lv) | |
| Constructor. | |
| Polygon2d (const CGPolygon_2 &) | |
| Constructor. | |
| Polygon2d (const std::list< Polygon2d > &lp) | |
| Constructor. | |
| Polygon2d (const Polyline2d &) | |
| Constructor. | |
| Polygon2d (const boost::python::list &) | |
| Constructor (Python interface). | |
| const CGPolygon_2 & | ToCGAL (void) const |
| virtual unsigned int | getNumVertices (void) const |
| void | push_back (const Pos2d &p) |
| vertex_iterator | insert (vertex_iterator i, const Pos2d &q) |
| Insert vertex q before the vertex pointed by i. | |
| template<class InputIterator > | |
| void | insert (vertex_iterator i, InputIterator first, InputIterator last) |
| Insert the vertices between [first,last) before the vertex pointed by i. More... | |
| void | set (vertex_iterator i, const Pos2d &p) |
| Modifies the position of the i-th vertex making it equal to the argument. More... | |
| void | erase (vertex_iterator i) |
| void | erase (vertex_iterator first, vertex_iterator last) |
| Elimina el vértice los vértices del rango [first,last). | |
| void | erase (void) |
| Elimina el vértice los vértices del rango [first,last). | |
| vertex_iterator | vertices_begin (void) const |
| vertex_iterator | vertices_end (void) const |
| vertex_circulator | vertices_circulator (void) |
| edge_const_iterator | edges_begin (void) const |
| edge_const_iterator | edges_end (void) |
| edge_const_circulator | edges_circulator (void) const |
| Polygon2d | getSwap (void) const |
| bool | clockwise (void) const |
| bool | counterclockwise (void) const |
| void | swap (void) |
| void | makeCounterClockWise (void) |
| Makes the polygon counter clockwise. | |
| Polygon2d | offset (const GEOM_FT &d) const |
| Return a polygon parallel to this one at the given distance. More... | |
| Polygon2d | buffer (const GEOM_FT &d) const |
| Returns the buffer (a polygon being the spatial point set collection within a specified maximum distance from this polygon) of this polygon. More... | |
| GEOM_FT | AreaSigno (void) const |
| virtual GEOM_FT | getArea (void) const |
| Return the polygon area. | |
| std::vector< Polygon2d > | getTributaryPolygons (void) const |
| Return the polygons that form the tributary area of each vertex. | |
| std::vector< double > | getTributaryAreas (void) const |
| Return the areas of the tributary polygons (one for each vertex). | |
| virtual GEOM_FT | GetMax (unsigned short int i) const |
| Return the maximum value of the i-th coordinate. | |
| virtual GEOM_FT | GetMin (unsigned short int i) const |
| Return the minimum value of the i-th coordinate. | |
| virtual bool | In (const Pos2d &p, const double &tol=0.0) const |
| Return true if the point is inside the polygon. | |
| template<class inputIterator > | |
| bool | In (inputIterator begin, inputIterator end) const |
| Return true if all the objects in the given sequence are inside the polygon. More... | |
| bool | In (const Polyline2d &) const |
| Return true if the polyline is inside the polygon. | |
| bool | In (const Polygon2d &) const |
| Return true if this polygon contains the polygon argument. | |
| bool | Overlap (const Pos2d &) const |
| Return true if the polygon contains the point. | |
| bool | Overlap (const Line2d &r) const |
| Return true if the line and the polygon overlap. | |
| bool | Overlap (const Ray2d &sr) const |
| Return true if the ray and the polygon overlap. | |
| bool | Overlap (const Segment2d &sg) const |
| Return true if the segment and the polygon overlap. | |
| bool | Overlap (const BND2d &) const |
| Return true if the boundary and the polygon overlap. | |
| bool | Overlap (const Polyline2d &) const |
| Return true if the polyline and the polygon overlap. | |
| bool | Overlap (const Polygon2d &) const |
| Return verdadero si el polígono se superpone con el que se pasa como parámetro. More... | |
| bool | Overlap (const std::list< Polygon2d > &) const |
| Return verdadero si el polígono se superpone con alguno de los de la lista que se pasa como parámetro. More... | |
| template<class T > | |
| bool | intersects (const T &t) const |
| Pos2d | Vertice (unsigned int i) const |
| Return the position of the i-th vertex. | |
| Pos2d | Vertice0 (unsigned int j) const |
| Return the position of the i-th vertex (0 based: j=0..getNumVertices()-1). More... | |
| GeomObj::list_Pos2d | getVertexList (void) const |
| boost::python::list | getVertexListPy (void) const |
| Return a Python list containing the positions of the polygon vertices. More... | |
| void | Transform (const Trf2d &trf2d) |
| Aplica a los vértices la transformación que se pasa como parámetro. | |
| std::deque< GEOM_FT > & | getCovers (const Pos2dList &) const |
| Return the cover of the positions in the argument. | |
| Polygon2d | getUnion (const Polygon2d &other) const |
| Return the union of this polygon with the argument. | |
| void | une (const Polygon2d &) |
| void | une (const std::list< Polygon2d > &l) |
| void | clipBy (const Polygon2d &) |
| Clip this polygont with the polygon argument. | |
| Segment2d | Clip (const Line2d &) const |
| Return the intersection of the polygon with the line. | |
| Segment2d | Clip (const Ray2d &) const |
| Return the intersection of the polygon and the ray. | |
| Segment2d | Clip (const Segment2d &) const |
| Return the intersection of the polygon and the segment. | |
| std::list< Polygon2d > | Clip (const BND2d &bnd) const |
| Return the polygons that result from clipping this one with the BND argument. More... | |
| boost::python::list | ClipPy (const BND2d &) const |
| Return the polygons that result from clipping this one with the BND argument in a Python list. More... | |
| std::list< Polygon2d > | Clip (const Polygon2d &) const |
| Return the polygons that result from clipping this one with the polygon argument. More... | |
| boost::python::list | ClipPy (const Polygon2d &) const |
| Return the polygons that result from clipping this one with the polygon argument in a Python list. More... | |
| Segment2d | getIntersection (const Line2d &) const |
| Return the intersection of the polygon with the given line. | |
| Segment2d | getIntersection (const Ray2d &) const |
| Return the intersection of the polygon with the given ray. | |
| Segment2d | getIntersection (const Segment2d &) const |
| Return the intersection of the polygon with the given segment. | |
| std::list< Polygon2d > | getIntersection (const HalfPlane2d &) const |
| Return the intersection with the given half plane. | |
| boost::python::list | getIntersectionPy (const HalfPlane2d &) const |
| Return the intersection with the given half plane in a Python list. | |
| std::list< Polygon2d > | getIntersection (const Polygon2d &) const |
| Return the intersection with the given polygon. | |
| boost::python::list | getIntersectionPy (const Polygon2d &) const |
| Return the intersection with the given polygon in a Python list. | |
| std::list< Polygon2d > | getBayazitDecomposition (void) const |
| Return the decomposition obtained using the Mark Bayazit algorithm. | |
| Public Member Functions inherited from PolygonalSurface2d | |
| virtual unsigned int | getNumEdges (void) const |
| bool | empty (void) const |
| const Pos2d | operator() (const size_t &i) const |
| const Pos2d | operator[] (const size_t &j) const |
| Segment2d | Lado (unsigned int i) const |
| Return the i-th edge (i between 1 and num_sides). | |
| Segment2d | Lado0 (unsigned int i) const |
| Return the i-th side (i between 0 and num_sides-1). | |
| int | getNearestEdgeIndex (const Pos2d &) const |
| Return the nearest edge to the given point. More... | |
| Segment2d | getNearestEdge (const Pos2d &) const |
| Return the nearest edge to the given point. More... | |
| Pos2d | Projection (const Pos2d &) const |
| Return the projection of the given point into the polyline. More... | |
| GeomObj::list_Pos2d | getVertices (void) const |
| Return los vertices of the polygon. | |
| Vector2d | getLado0Normal (const size_t i) const |
| Return la normal al lado of the polygon. | |
| Vector2d | getVertex0Normal (const size_t i) const |
| Return la normal en el vértice of the polygon. | |
| int | getIndexOfDistalEdge (const Pos2d &) const |
| Return the distal edge with respect to the point argument. More... | |
| int | getIndexOfProximalEdge (const Pos2d &) const |
| Return the proximal edge with respect to the point argument. More... | |
| int | getIndexOfDistalVertex (const Pos2d &) const |
| Return the distal vertex with respect to the point argument. More... | |
| int | getIndexOfProximalVertex (const Pos2d &) const |
| Return the proximal vertex with respect to the point argument. More... | |
| Polyline2d | getPolyline (void) const |
| Return the closed polyline formed with the vertices of the polygon. More... | |
| virtual GEOM_FT | getLength (void) const |
| Return the perimeter of the surface. | |
| GEOM_FT | getPerimeter (void) const |
| virtual GEOM_FT | getLengthUpTo (const Pos2d &) const |
| Return the length along the perimeter upto the given point. | |
| GEOM_FT | getLambda (const Pos2d &p) const |
| GEOM_FT | AreaSigno (void) const |
| virtual Pos2d | getCenterOfMass (void) const |
| Return the center of mass. | |
| virtual Pos2d | Centroide (void) const |
| Return the centroid (point interior to the polygon). More... | |
| GEOM_FT | getMoment (const int &p, const int &q) const |
| virtual GEOM_FT | Ix (void) const |
| Calcula el moment of inertia with respect to an axis parallel to the x axis que pasa por the center of mass of the surface. More... | |
| virtual GEOM_FT | Iy (void) const |
| Calcula el moment of inertia with respect to an axis parallel to the y axis that passes through the polygon centroid. More... | |
| virtual GEOM_FT | Pxy (void) const |
| Calcula el product of inertia with respect to the axis parallel to the axis x and y with origin in the polygon centroid. More... | |
| GeomObj::list_Pos2d | getApproxTangentPositions (const Vector2d &) const |
| Return the points for which the polygon is almost tangent to the direction argument. More... | |
| GEOM_FT | DistSigno (const Pos2d &p, const bool &clockwise=false) const |
| Return the distance from the point to the perímeter The distance is computed as the maximum of: -The signed distances from the point to each of the half-planes that contain a side. More... | |
| GEOM_FT | Dist (const Pos2d &p) const |
| Return the distance from the point to the polygon. More... | |
| GEOM_FT | getCover (const Pos2d &) const |
| Return the distance from the point to the nearest edge. | |
| GEOM_FT | getCover (const Pos2d &, const Vector2d &) const |
| Return the distance from the point to the nearest of the intersections of the ray defined by the point and the vector with the nearest edge. More... | |
| bool | Overlap (const Line2d &r) const |
| Return true if the line and the polygonal surface overlap. | |
| bool | Overlap (const Ray2d &sr) const |
| Return true if the ray and the polygonal surface overlap. | |
| Segment2d | Clip (const Line2d &) const |
| Return the intersection of the polygon with the line (if exists). | |
| Segment2d | Clip (const Ray2d &) const |
| Return the intersection of the polygon with the ray (if it exists). | |
| Segment2d | Clip (const Segment2d &) const |
| Return the intersection of the polygon with the segment argument (if exists). More... | |
| void | Print (std::ostream &os) const |
| void | Plot (Plotter &plotter) const |
| Public Member Functions inherited from Surface2d | |
| virtual unsigned short int | Dimension (void) const |
| Return the dimension of the object 0, 1, 2 or 3. | |
| GEOM_FT | getPerimeter (void) const |
| Return the object perimeter. | |
| virtual GEOM_FT | getVolume (void) const |
| Return the object volume. | |
| virtual GEOM_FT | IArea (void) const |
| Public Member Functions inherited from GeomObj2d | |
| GEOM_FT | GetXMax (void) const |
| GEOM_FT | GetYMax (void) const |
| GEOM_FT | GetXMin (void) const |
| GEOM_FT | GetYMin (void) const |
| Pos2d | getPMax (void) const |
| Pos2d | getPMin (void) const |
| virtual Vector2d | Projection (const Vector2d &) const |
| Return the projection onto the line. More... | |
| BND2d | Bnd (void) const |
| Return the bounding rectangle. | |
| virtual bool | Out (const Pos2d &p, const double &tol=0.0) const |
| Return true if the point lies outside the object. | |
| virtual GEOM_FT | getCenterOfMassFactor (void) const |
| Return the factor used for the computation of the center of mass (1.0 by default). More... | |
| virtual GEOM_FT | Iz (void) const |
| Moment of inertia polar with respect to the center of mass en local axis. | |
| double | Theta_p (void) const |
| Return the angle of one of the principal axis of inertia. | |
| Dir2d | IAxisDir_a (void) const |
| Return the dirección de un principal axis of inertia (we don't know if it's the major or the minor yet). More... | |
| Dir2d | IAxisDir_b (void) const |
| Return the direction of the other principal axis of inertia (we don't know if it's the major or the minor yet). More... | |
| Line2d | IAxis_a (void) const |
| Return un principal axis of inertia (no sabemos si el mayor o el menor. | |
| Line2d | IAxis_b (void) const |
| Return un principal axis of inertia (no sabemos si el mayor o el menor. | |
| Ref2d2d | PrincipalAxesOfInertia (void) const |
| Return los principal axis of inertia. | |
| GEOM_FT | I1 (void) const |
| Return the moment of inertia principal mayor. | |
| GEOM_FT | I2 (void) const |
| Return the moment of inertia principal menor. | |
| PrincipalAxesOfInertia2D | Inertia (void) |
| GEOM_FT | I (const unsigned short int &i, const unsigned short int &j) const |
| Return the componente i,j of the inertia tensor computed with respect to the center of mass. More... | |
| GEOM_FT | I (const Pos2d &O, const Vector2d &e) const |
| Return the moment of inertia with respect to the axis that passes through O with the direction of e. More... | |
| GEOM_FT | I (const Line2d &r) const |
| Return the moment of inertia with respect to the line argument. | |
| GEOM_FT | I (const unsigned short int i, const unsigned short int j, const Pos2d &o) const |
| Return the component i,j of the inertia tensor computed with respect to the point "o". More... | |
| GEOM_FT | IO (const Pos2d &o) const |
| Return the polar moment of inertia with respect to the point o. | |
| FT_matrix | I (void) const |
| Return the inertia tensor with respect to the center of mass of the object. | |
| FT_matrix | I (const Pos2d &o) const |
| Return the inertia tensor with respect to the point o. | |
| virtual void | Move (const Vector2d &) |
| Desplaza el objeto. | |
| Public Member Functions inherited from GeomObj | |
| GeomObj (void) | |
| Constructor. | |
| virtual bool | hasCenterOfMass (void) const |
| Return true if the object has a center of mass. | |
| GEOM_FT | getCenterOfMassArea (void) const |
| Return the dimension used to compute the center of mass, as follows: More... | |
| Public Member Functions inherited from ProtoGeom | |
| ProtoGeom (void) | |
| False when solution is not possible: intersection of parallel planes. More... | |
| void | setExists (bool e) |
| bool | exists (void) const |
| boost::python::dict | getPyDict (void) const |
| Return a Python dictionary with the object members values. | |
| void | setPyDict (const boost::python::dict &) |
| Set the values of the object members from a Python dictionary. | |
| Public Member Functions inherited from CommandEntity | |
| CommandEntity (CommandEntity *owr=nullptr) | |
| Default constructor. | |
| CommandEntity * | Owner (void) |
| Return a pointer to the object owner. | |
| const CommandEntity * | Owner (void) const |
| Return un puntero al objeto propietario de ESTE. | |
| const StandardOutputWrapper & | getStandardOutputWrapper (void) const |
| Return the regular output stream wrapper. | |
| StandardOutputWrapper & | getStandardOutputWrapper (void) |
| Return the regular output stream wrapper. | |
| const std::string & | getLogFileName (void) const |
| Returns log file name. | |
| void | setLogFileName (const std::string &) |
| Sets log file name. | |
| const std::string & | getErrFileName (void) const |
| Returns err file name. | |
| void | setErrFileName (const std::string &) |
| Sets error file name. | |
| const std::string & | getOutputFileName (void) const |
| Returns regular output file name. | |
| void | setOutputFileName (const std::string &) |
| Sets regular output file name. | |
| boost::python::object | evalPy (boost::python::object dict, const std::string &) |
| Return the Python object that results from evaluating the argument. | |
| boost::python::object | execPy (boost::python::object dict, const std::string &) |
| Return the Python objects that results from executing the code in the string argument. | |
| boost::python::object | execFilePy (boost::python::object dict, const std::string &) |
| Return the Python object that results from executing the code in the file. | |
| Public Member Functions inherited from EntityWithProperties | |
| EntityWithProperties (EntityWithProperties *owr=nullptr) | |
| Default constructor. | |
| void | clearPyProps (void) |
| Clear python properties map. | |
| bool | hasPyProp (const std::string &) |
| Returns true if property exists. | |
| boost::python::object | getPyProp (const std::string &str) |
| Return the Python object with the name being passed as parameter. | |
| void | setPyProp (std::string str, boost::python::object val) |
| Sets/appends a value tho the Python object's dictionary. | |
| void | copyPropsFrom (const EntityWithProperties &) |
| Copy the properties from the argument. | |
| boost::python::list | getPropNames (void) const |
| Return the names of the object properties weightings. | |
| const PythonDict & | getPropertiesDict (void) const |
| Return a std::map container with the properties of the object. | |
| boost::python::dict | getPyDict (void) const |
| Return a Python dictionary containing the object members values. | |
| void | setPyDict (const boost::python::dict &) |
| Set the values of the object members from a Python dictionary. | |
| Public Member Functions inherited from EntityWithOwner | |
| EntityWithOwner (EntityWithOwner *owr=nullptr) | |
| Default constructor. | |
| EntityWithOwner (const EntityWithOwner &) | |
| Copy constructor. | |
| EntityWithOwner & | operator= (const EntityWithOwner &) |
| Assignment operator. | |
| virtual bool | operator== (const EntityWithOwner &) const |
| Comparison operator. | |
| virtual | ~EntityWithOwner (void) |
| Virtual destructor. | |
| virtual std::string | getClassName (void) const |
| Returns demangled class name. | |
| void | set_owner (EntityWithOwner *owr) |
| Assigns the owner of the object. | |
| EntityWithOwner * | Owner (void) |
| const EntityWithOwner * | Owner (void) const |
Additional Inherited Members | |
| Public Types inherited from Polygon2d | |
| typedef CGPolygon_2::Vertex_iterator | vertex_iterator |
| typedef CGPolygon_2::Vertex_circulator | vertex_circulator |
| typedef CGPolygon_2::Edge_const_iterator | edge_const_iterator |
| typedef CGPolygon_2::Edge_const_circulator | edge_const_circulator |
| Public Types inherited from GeomObj2d | |
| typedef PolyPos< Pos2d > | list_Pos2d |
| Public Types inherited from GeomObj | |
| typedef PolyPos< Pos3d > | list_Pos3d |
| typedef PolyPos< Pos2d > | list_Pos2d |
| Public Types inherited from EntityWithProperties | |
| typedef std::map< std::string, boost::python::object > | PythonDict |
| Static Public Member Functions inherited from CommandEntity | |
| static void | resetStandardOutput (void) |
| Reset the standard output streams to its defaults buffers. | |
| Static Public Member Functions inherited from EntityWithOwner | |
| static int | getVerbosityLevel (void) |
| Get the value of the verbosity level. | |
| static void | setVerbosityLevel (const int &) |
| Set the value of the verbosity level. | |
| Protected Member Functions inherited from Polygon2d | |
| bool | In (const CGPoint_2 &p) const |
| bool | Overlap (const CGPoint_2 &p) const |
| Protected Member Functions inherited from PolygonalSurface2d | |
| Segment2d | Lado0 (unsigned int i, unsigned int j) const |
| Return the segments between vertices i and j (0->n). | |
| Protected Member Functions inherited from CommandEntity | |
| template<class T > | |
| void | string_to (T &, const std::string &) const |
| Protected Member Functions inherited from EntityWithProperties | |
| bool | isEqual (const EntityWithProperties &) const |
| Return true if both objects are equal. | |
| Protected Member Functions inherited from EntityWithOwner | |
| virtual bool | isEqual (const EntityWithOwner &) const |
| Return true if both objects are equal. | |
| Static Protected Member Functions inherited from CommandEntity | |
| static CommandEntity * | entcmd_cast (boost::any &data) |
| Static Protected Attributes inherited from EntityWithOwner | |
| static int | verbosity = 1 |
| Object that owns THIS ONE. More... | |
Detailed Description
Square in a two-dimensional space.
The documentation for this class was generated from the following files:
- src/utility/geom/d2/2d_polygons/Square2d.h
- src/utility/geom/d2/2d_polygons/Square2d.cc
