Class xlifepp::Hexahedron#

class Hexahedron : public xlifepp::Polyhedron#

definition of a hexahedron geometry in R^3

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

  • _v1, _v2, _v3, _v4, _v5, _v6, _v7, _v8: to define the vertices of the Hexahedron

  • _nnodes: to define the number of nodes on each edge of the Hexahedron

  • _hsteps: to define the local mesh steps on the vertices of the Hexahedron

  • _domain_name: to define the domain name

  • _side_names/_face_name: to define the side names

  • _edge_name: to define the side of side names

  • _vertex_name: to define the side of side of side names

  • _varnames: to define the variable names for print purpose

Subclassed by xlifepp::Parallelepiped

Public Functions

Hexahedron()#

default constructor

Hexahedron(Parameter p1, Parameter p2, Parameter p3, Parameter p4, Parameter p5, Parameter p6, Parameter p7, Parameter p8)#

key-value constructor

virtual string_t asString() const#

format as string

inline virtual Geometry *clone() const#

virtual copy constructor

virtual std::vector<std::pair<ShapeType, std::vector<const Point*>>> curves() const#

returns list of edges

inline virtual Hexahedron *hexahedron()#

access to child Hexahedron object

inline virtual const Hexahedron *hexahedron() const#

access to child Hexahedron object (const)

inline virtual Hexahedron &homothetize(const Parameter &p1)#

apply a homothety on a Hexahedron (1 key)

inline virtual Hexahedron &homothetize(const Parameter &p1, const Parameter &p2)#

apply a homothety on a Hexahedron (2 keys)

inline virtual Hexahedron &homothetize(const Point &c = Point(0., 0., 0.), real_t factor = 1.)#

apply a homothety on a Hexahedron

inline virtual Hexahedron &homothetize(real_t factor)#

apply a homothety on a Hexahedron

inline virtual std::vector<number_t> nbElementsForGmshGeneration() const#

return number of points/arcs/lines/loops/surfaces/extrudable elementsof a geometry (only for gmsh generation)

inline virtual number_t nbSides() const#

returns the number of sides return number of points/arcs/lines/loops/surfaces/extrudable elementsof a geometry (only for gmsh generation)

inline virtual Hexahedron &pointReflect(const Parameter &p1)#

apply a point reflection on a Hexahedron (1 key)

inline virtual Hexahedron &pointReflect(const Point &c = Point(0., 0., 0.))#

apply a point reflection on a Hexahedron

inline virtual Hexahedron &reflect2d(const Parameter &p1)#

apply a reflection2d on a Hexahedron (1 key)

inline virtual Hexahedron &reflect2d(const Parameter &p1, const Parameter &p2)#

apply a reflection2d on a Hexahedron (2 keys)

inline virtual Hexahedron &reflect2d(const Point &c, real_t dx, real_t dy = 0.)#

apply a reflection2d on a Hexahedron

inline virtual Hexahedron &reflect2d(const Point &c = Point(0., 0.), std::vector<real_t> d = std::vector<real_t>(2, 0.))#

apply a reflection2d on a Hexahedron

inline virtual Hexahedron &reflect3d(const Parameter &p1)#

apply a reflection3d on a Hexahedron (1 key)

inline virtual Hexahedron &reflect3d(const Parameter &p1, const Parameter &p2)#

apply a reflection3d on a Hexahedron (2 keys)

inline virtual Hexahedron &reflect3d(const Point &c, real_t nx, real_t ny, real_t nz = 0.)#

apply a reflection3d on a Hexahedron

inline virtual Hexahedron &reflect3d(const Point &c = Point(0., 0., 0.), std::vector<real_t> n = std::vector<real_t>(3, 0.))#

apply a reflection3d on a Hexahedron

inline virtual Hexahedron &rotate2d(const Parameter &p1)#

apply a rotation 2D on a Hexahedron (1 key)

inline virtual Hexahedron &rotate2d(const Parameter &p1, const Parameter &p2)#

apply a rotation 2D on a Hexahedron (2 keys)

inline virtual Hexahedron &rotate2d(const Point &c, real_t angle = 0.)#

apply a rotation 2D on a Hexahedron

inline virtual Hexahedron &rotate3d(const Parameter &p1)#

apply a rotation 3D on a Hexahedron (1 key)

inline virtual Hexahedron &rotate3d(const Parameter &p1, const Parameter &p2)#

apply a rotation 3D on a Hexahedron (2 keys)

inline virtual Hexahedron &rotate3d(const Parameter &p1, const Parameter &p2, const Parameter &p3)#

apply a rotation 3D on a Hexahedron (3 keys)

inline virtual Hexahedron &rotate3d(const Point &c, real_t dx, real_t dy, real_t angle)#

apply a rotation on a Hexahedron

inline virtual Hexahedron &rotate3d(const Point &c, real_t dx, real_t dy, real_t dz, real_t angle)#

apply a rotation on a Hexahedron

inline virtual Hexahedron &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 Hexahedron

inline virtual Hexahedron &rotate3d(real_t dx, real_t dy, real_t angle)#

apply a rotation 3D on a Hexahedron

inline virtual Hexahedron &rotate3d(real_t dx, real_t dy, real_t dz, real_t angle)#

apply a rotation 3D on a Hexahedron

virtual void setFaces()#

set the faces vector when built

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

returns list of faces

virtual Hexahedron &transform(const Transformation &t)#

apply a geometrical transformation on a Hexahedron

inline virtual Hexahedron &translate(const Parameter &p1)#

apply a translation on a Hexahedron (1 key)

inline virtual Hexahedron &translate(real_t ux, real_t uy = 0., real_t uz = 0.)#

apply a translation on a Hexahedron (3 reals version)

inline virtual Hexahedron &translate(std::vector<real_t> u)#

apply a translation on a Hexahedron (vector version)