| xc
    | 
Círculo en dos dimensiones. More...
#include <Circle2d.h>


| Public Member Functions | |
| Circle2d (const Pos2d ¢ro, const GEOM_FT &rad) | |
| Build the circle from its center and its radius. | |
| Circle2d (const GEOM_FT &rad2, const Pos2d ¢ro) | |
| Build the circle from its center and its squared radius. | |
| Circle2d (const Pos2d &p1, const Pos2d &p2, const Pos2d &p3) | |
| Build the circle from three points.  More... | |
| virtual Surface2d * | getCopy (void) const | 
| Pos2d | Centro (void) const | 
| virtual Pos2d | getCenterOfMass (void) const | 
| Return the position of the center of mass. | |
| Pos2d | Point (const double &ang) const | 
| Return the point of the circle that corresponds to the parameter angle.  More... | |
| GEOM_FT | getSquaredRadius (void) const | 
| GEOM_FT | getRadius (void) const | 
| Return the radius of the circle. | |
| GEOM_FT | getDiameter (void) const | 
| virtual double | getAngle (const Pos2d &p) const | 
| Return the angle between the line that passes through the center and the p point and the x axis.  More... | |
| virtual GEOM_FT | getLength (void) const | 
| Return the length of the círcle. | |
| GEOM_FT | getPerimeter (void) const | 
| Return the perimeter of the object. | |
| virtual double | getIncludedAngle (void) const | 
| Return the angle included by the circle (2*pi). | |
| virtual GEOM_FT | getArea (void) const | 
| Return the area of the circle. | |
| virtual GEOM_FT | getVolume (void) const | 
| Return the volume of the object. | |
| virtual GEOM_FT | Ix (void) const | 
| Return el moment of inertia del círculo with respect to axis parallel to x que pasa por su centro.  More... | |
| virtual GEOM_FT | Iy (void) const | 
| Moment of inertia with respect to the center of mass en local axis. | |
| virtual GEOM_FT | Pxy (void) const | 
| !  More... | |
| virtual GEOM_FT | Iz (void) const | 
| Moment of inertia polar with respect to the center of mass en local axis. | |
| virtual GEOM_FT | GetMax (unsigned short int i) const | 
| Return the maximum value of the i coordinate of the points of the circle. | |
| virtual GEOM_FT | GetMin (unsigned short int i) const | 
| Return el valor mínimo of the i coordinate of the points of the circle. | |
| virtual bool | In (const Pos2d &p, const double &tol=0.0) const | 
| Return true if the point is on the circle. | |
| Pos2dArray | getPointsOnPerimeter (const size_t &n, const double &theta_inic=0.0) const | 
| Return n points equally spaced over the cicumference. | |
| Polygon2d | getInscribedPolygon (const size_t &n, const double &theta_inic=0.0) const | 
| Return the n-gon inscribed int the circle. | |
| void | Transform (const Trf2d &trf2d) | 
| Aplica al objeto la transformación que se pasa como parámetro.  More... | |
| Circle2d | offset (const GEOM_FT &) const | 
| Return a circle parallel to this one at the distance being passed as parameter.  More... | |
| void | Print (std::ostream &os) const | 
| void | Plot (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 | 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 Pos2d | Projection (const Pos2d &) const | 
| Return the orthogonal projection onto the line.  More... | |
| 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... | |
| 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 | 
| Protected Member Functions | |
| void | arc_points (const double &theta_inic, const double &delta_theta, Pos2dArray &ptos) const | 
| Return n points equally espaces over the circle perimenter. | |
|  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. | |
| Friends | |
| int | operator== (const Circle2d &a, const Circle2d &b) | 
| Additional Inherited Members | |
|  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. | |
|  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... | |
Círculo en dos dimensiones.
Build the circle from three points.
Basado en Mathematical elements for computer graphics (Rogers and Adams) page 233.
| 
 | virtual | 
Return the angle between the line that passes through the center and the p point and the x axis.
Reimplemented in CircularSector2d.
| 
 | virtual | 
Return el moment of inertia del círculo with respect to axis parallel to x que pasa por su centro.
Implements GeomObj2d.
Reimplemented in AnnulusSector2d, and CircularSector2d.
| Circle2d Circle2d::offset | ( | const GEOM_FT & | d | ) | const | 
Return a circle parallel to this one at the distance being passed as parameter.
The new circle will be exterior if the distance is positive.
| Pos2d Circle2d::Point | ( | const double & | ang | ) | const | 
Return the point of the circle that corresponds to the parameter angle.
| 
 | inlinevirtual | 
!
Product of inertia with respect to the center of mass en local axis.
Implements GeomObj2d.
Reimplemented in AnnulusSector2d, and CircularSector2d.
| 
 | virtual | 
Aplica al objeto la transformación que se pasa como parámetro.
Implements GeomObj2d.
 1.8.13
 1.8.13