Class xlifepp::Rectangle#

class Rectangle : public xlifepp::Parallelogram #

definition of a rectangular geometry in R^3

Rectangle constructors are based on a key-value system. Here are the available keys:

_v1, _v2, _v4: to define the vertices of the Rectangle, counterclockwise oriented
_center: to define the center of the Rectangle
_origin: to define the first vertex of the Rectangle (same definition as _v1)
_xlength, _ylength: the lengths of the Rectangle
_xmin, _xmax, _ymin, _ymax: to define the Rectangle v1=(xmin, ymin), v2=(xmax, ymin), v4=(xmin, ymax)
_nnodes: to define the number of nodes on each edge of the Rectangle
_hsteps: to define the local mesh steps on the vertices of the Rectangle
_domain_name: to define the domain name
_side_names/_edge_names: to define the side names
_vertex_names: to define the side of side names
_varnames: to define the variable names for print purpose

Subclassed by xlifepp::SquareGeo

Public Functions

Rectangle()#

default constructor

default rectangle is [0,1]^2

Rectangle(const Point &p1, const Point &p2, const Point &p4, const std::vector<number_t> &n = std::vector<number_t>(4, 2), const string_t &domName = string_t(), const std::vector<string_t> &sideNames = std::vector<string_t>(4, ""), const std::vector<string_t> &sideOfSideNames = std::vector<string_t>(4, ""))#: default constructor with 3 points

Rectangle(const Point &p1, const Point &p2, const Point &p4, const std::vector<real_t> &h, const string_t &domName = string_t(), const std::vector<string_t> &sideNames = std::vector<string_t>(4, ""), const std::vector<string_t> &sideOfSideNames = std::vector<string_t>(4, ""))#: default constructor with 3 points

Rectangle(Parameter p1, Parameter p2, Parameter p3)#: key-value constructor

inline virtual ~Rectangle()#: destructor

virtual string_t asString() const#: format as string

inline virtual Geometry *clone() const#: virtual copy constructor for Geometry

inline virtual Polygon *clonePG() const#: virtual copy constructor for Polygon

inline virtual Surface *cloneS() const#: virtual copy constructor for Surface

inline virtual void computeMB()#: computes the minimal box

inline virtual Rectangle &homothetize(const Parameter &p1)#: apply a homothety on a Rectangle (1 key)

inline virtual Rectangle &homothetize(const Parameter &p1, const Parameter &p2)#: apply a homothety on a Rectangle (2 keys)

inline virtual Rectangle &homothetize(const Point &c = Point(0., 0., 0.), real_t factor = 1.)#: apply a homothety on a Rectangle

inline virtual Rectangle &homothetize(real_t factor)#: apply a homothety on a Rectangle

inline virtual real_t measure() const#: surface of the parallelogram

inline number_t nx() const#: returns the number of nodes on first or third edge

inline number_t ny() const#: returns the number of nodes on second or fourth edge

inline virtual Rectangle &pointReflect(const Parameter &p1)#: apply a point reflection on a Rectangle (1 key)

inline virtual Rectangle &pointReflect(const Point &c = Point(0., 0., 0.))#: apply a point reflection on a Rectangle

inline virtual Rectangle *rectangle()#: access to child Rectangle object

inline virtual const Rectangle *rectangle() const#: access to child Rectangle object (const)

inline virtual Rectangle &reflect2d(const Parameter &p1)#: apply a reflection2d on a Rectangle (1 key)

inline virtual Rectangle &reflect2d(const Parameter &p1, const Parameter &p2)#: apply a reflection2d on a Rectangle (2 keys)

inline virtual Rectangle &reflect2d(const Point &c, real_t dx, real_t dy = 0.)#: apply a reflection2d on a Rectangle

inline virtual Rectangle &reflect2d(const Point &c = Point(0., 0.), std::vector<real_t> d = std::vector<real_t>(2, 0.))#: apply a reflection2d on a Rectangle

inline virtual Rectangle &reflect3d(const Parameter &p1)#: apply a reflection3d on a Rectangle (1 key)

inline virtual Rectangle &reflect3d(const Parameter &p1, const Parameter &p2)#: apply a reflection3d on a Rectangle (2 keys)

inline virtual Rectangle &reflect3d(const Point &c, real_t nx, real_t ny, real_t nz = 0.)#: apply a reflection3d on a Rectangle

inline virtual Rectangle &reflect3d(const Point &c = Point(0., 0., 0.), std::vector<real_t> n = std::vector<real_t>(3, 0.))#: apply a reflection3d on a Rectangle

inline virtual Rectangle &rotate2d(const Parameter &p1)#: apply a rotation 2D on a Rectangle (1 key)

inline virtual Rectangle &rotate2d(const Parameter &p1, const Parameter &p2)#: apply a rotation 2D on a Rectangle (2 keys)

inline virtual Rectangle &rotate2d(const Point &c, real_t angle = 0.)#: apply a rotation 2D on a Rectangle

inline virtual Rectangle &rotate3d(const Parameter &p1)#: apply a rotation 3D on a Rectangle (1 key)

inline virtual Rectangle &rotate3d(const Parameter &p1, const Parameter &p2)#: apply a rotation 3D on a Rectangle (2 keys)

inline virtual Rectangle &rotate3d(const Parameter &p1, const Parameter &p2, const Parameter &p3)#: apply a rotation 3D on a Rectangle (3 keys)

inline virtual Rectangle &rotate3d(const Point &c, real_t dx, real_t dy, real_t angle)#: apply a rotation on a Rectangle

inline virtual Rectangle &rotate3d(const Point &c, real_t dx, real_t dy, real_t dz, real_t angle)#: apply a rotation on a Rectangle

inline virtual Rectangle &rotate3d(const Point &c, std::vector<real_t> d = std::vector<real_t>(3, 0.), real_t angle = 0.)#: apply a rotation 3D on a Rectangle

inline virtual Rectangle &rotate3d(real_t dx, real_t dy, real_t angle)#: apply a rotation 3D on a Rectangle

inline virtual Rectangle &rotate3d(real_t dx, real_t dy, real_t dz, real_t angle)#: apply a rotation 3D on a Rectangle

virtual std::vector<std::pair<ShapeType, std::vector<const Point*>>> surfs() const#: returns list of surfaces (const)

virtual Rectangle &transform(const Transformation &t)#: apply a geometrical transformation on a Rectangle

inline virtual Rectangle &translate(const Parameter &p1)#: apply a translation on a Rectangle (1 key)

inline virtual Rectangle &translate(real_t ux, real_t uy = 0., real_t uz = 0.)#: apply a translation on a Rectangle (3 reals version)

inline virtual Rectangle &translate(std::vector<real_t> u)#: apply a translation on a Rectangle (vector version)