Class xlifepp::Polyhedron#

class Polyhedron : public xlifepp::Volume#

Inheritence diagram for xlifepp::Polyhedron:

digraph { graph [bgcolor="#00000000"] node [shape=rectangle style=filled fillcolor="#FFFFFF" font=Helvetica padding=2] edge [color="#1414CE"] "7" [label="xlifepp::Cube" tooltip="xlifepp::Cube"] "6" [label="xlifepp::Cuboid" tooltip="xlifepp::Cuboid"] "3" [label="xlifepp::Geometry" tooltip="xlifepp::Geometry"] "4" [label="xlifepp::Hexahedron" tooltip="xlifepp::Hexahedron"] "5" [label="xlifepp::Parallelepiped" tooltip="xlifepp::Parallelepiped"] "1" [label="xlifepp::Polyhedron" tooltip="xlifepp::Polyhedron" fillcolor="#BFBFBF"] "8" [label="xlifepp::Tetrahedron" tooltip="xlifepp::Tetrahedron"] "2" [label="xlifepp::Volume" tooltip="xlifepp::Volume"] "7" -> "6" [dir=forward tooltip="public-inheritance"] "6" -> "5" [dir=forward tooltip="public-inheritance"] "4" -> "1" [dir=forward tooltip="public-inheritance"] "5" -> "4" [dir=forward tooltip="public-inheritance"] "1" -> "2" [dir=forward tooltip="public-inheritance"] "8" -> "1" [dir=forward tooltip="public-inheritance"] "2" -> "3" [dir=forward tooltip="public-inheritance"] }

Collaboration diagram for xlifepp::Polyhedron:

digraph { graph [bgcolor="#00000000"] node [shape=rectangle style=filled fillcolor="#FFFFFF" font=Helvetica padding=2] edge [color="#1414CE"] "22" [label="xlifepp::Collection< string_t >" tooltip="xlifepp::Collection< string_t >"] "15" [label="xlifepp::Matrix< real_t >" tooltip="xlifepp::Matrix< real_t >"] "19" [label="xlifepp::Vector< real_t >" tooltip="xlifepp::Vector< real_t >"] "30" [label="xlifepp::Vector< xlifepp::Vector< real_t > >" tooltip="xlifepp::Vector< xlifepp::Vector< real_t > >"] "39" [label="std::list< std::pair< number_t, real_t > >" tooltip="std::list< std::pair< number_t, real_t > >"] "11" [label="std::map< number_t, std::vector< number_t > >" tooltip="std::map< number_t, std::vector< number_t > >"] "9" [label="std::map< number_t, xlifepp::Geometry * >" tooltip="std::map< number_t, xlifepp::Geometry * >"] "38" [label="std::map< string_t, number_t >" tooltip="std::map< string_t, number_t >"] "40" [label="std::list< T >" tooltip="std::list< T >"] "10" [label="std::map< K, T >" tooltip="std::map< K, T >"] "6" [label="std::vector< T >" tooltip="std::vector< T >"] "25" [label="std::vector< T >" tooltip="std::vector< T >"] "18" [label="std::vector< K >" tooltip="std::vector< K >"] "5" [label="std::vector< RealPair >" tooltip="std::vector< RealPair >"] "21" [label="std::vector< const xlifepp::Transformation * >" tooltip="std::vector< const xlifepp::Transformation * >"] "26" [label="std::vector< number_t >" tooltip="std::vector< number_t >"] "16" [label="std::vector< real_t >" tooltip="std::vector< real_t >"] "35" [label="std::vector< std::vector< GeoNumPair > >" tooltip="std::vector< std::vector< GeoNumPair > >"] "12" [label="std::vector< std::vector< int_t > >" tooltip="std::vector< std::vector< int_t > >"] "23" [label="std::vector< string_t >" tooltip="std::vector< string_t >"] "34" [label="std::vector< xlifepp::GeomDomain * >" tooltip="std::vector< xlifepp::GeomDomain * >"] "33" [label="std::vector< xlifepp::GeomElement * >" tooltip="std::vector< xlifepp::GeomElement * >"] "37" [label="std::vector< xlifepp::Parameter * >" tooltip="std::vector< xlifepp::Parameter * >"] "8" [label="std::vector< xlifepp::Point >" tooltip="std::vector< xlifepp::Point >"] "42" [label="std::vector< xlifepp::Polygon * >" tooltip="std::vector< xlifepp::Polygon * >"] "27" [label="std::vector< xlifepp::Transformation * >" tooltip="std::vector< xlifepp::Transformation * >"] "31" [label="std::vector< xlifepp::Vector< real_t > >" tooltip="std::vector< xlifepp::Vector< real_t > >"] "4" [label="xlifepp::BoundingBox" tooltip="xlifepp::BoundingBox"] "24" [label="xlifepp::Collection< T >" tooltip="xlifepp::Collection< T >"] "13" [label="xlifepp::ExtrusionData" tooltip="xlifepp::ExtrusionData"] "41" [label="xlifepp::GeoNode" tooltip="xlifepp::GeoNode"] "3" [label="xlifepp::Geometry" tooltip="xlifepp::Geometry"] "17" [label="xlifepp::Matrix< K >" tooltip="xlifepp::Matrix< K >"] "32" [label="xlifepp::Mesh" tooltip="xlifepp::Mesh"] "7" [label="xlifepp::MinimalBox" tooltip="xlifepp::MinimalBox"] "36" [label="xlifepp::Parameters" tooltip="xlifepp::Parameters"] "29" [label="xlifepp::Parametrization" tooltip="xlifepp::Parametrization"] "28" [label="xlifepp::Point" tooltip="xlifepp::Point"] "1" [label="xlifepp::Polyhedron" tooltip="xlifepp::Polyhedron" fillcolor="#BFBFBF"] "14" [label="xlifepp::Transformation" tooltip="xlifepp::Transformation"] "20" [label="xlifepp::Vector< K >" tooltip="xlifepp::Vector< K >"] "2" [label="xlifepp::Volume" tooltip="xlifepp::Volume"] "22" -> "23" [dir=forward tooltip="public-inheritance"] "22" -> "24" [dir=forward tooltip="template-instance"] "15" -> "16" [dir=forward tooltip="public-inheritance"] "15" -> "17" [dir=forward tooltip="template-instance"] "19" -> "16" [dir=forward tooltip="public-inheritance"] "19" -> "20" [dir=forward tooltip="template-instance"] "30" -> "31" [dir=forward tooltip="public-inheritance"] "30" -> "20" [dir=forward tooltip="template-instance"] "39" -> "40" [dir=forward tooltip="template-instance"] "11" -> "10" [dir=forward tooltip="template-instance"] "9" -> "10" [dir=forward tooltip="template-instance"] "38" -> "10" [dir=forward tooltip="template-instance"] "18" -> "6" [dir=forward tooltip="template-instance"] "5" -> "6" [dir=forward tooltip="template-instance"] "21" -> "6" [dir=forward tooltip="template-instance"] "26" -> "6" [dir=forward tooltip="template-instance"] "16" -> "6" [dir=forward tooltip="template-instance"] "35" -> "6" [dir=forward tooltip="template-instance"] "12" -> "6" [dir=forward tooltip="template-instance"] "23" -> "6" [dir=forward tooltip="template-instance"] "34" -> "6" [dir=forward tooltip="template-instance"] "33" -> "6" [dir=forward tooltip="template-instance"] "37" -> "6" [dir=forward tooltip="template-instance"] "8" -> "6" [dir=forward tooltip="template-instance"] "42" -> "6" [dir=forward tooltip="template-instance"] "27" -> "6" [dir=forward tooltip="template-instance"] "31" -> "6" [dir=forward tooltip="template-instance"] "4" -> "5" [dir=forward tooltip="usage"] "24" -> "25" [dir=forward tooltip="public-inheritance"] "13" -> "14" [dir=forward tooltip="usage"] "13" -> "22" [dir=forward tooltip="usage"] "13" -> "26" [dir=forward tooltip="usage"] "13" -> "16" [dir=forward tooltip="usage"] "13" -> "19" [dir=forward tooltip="usage"] "13" -> "27" [dir=forward tooltip="usage"] "13" -> "28" [dir=forward tooltip="usage"] "41" -> "41" [dir=forward tooltip="usage"] "41" -> "3" [dir=forward tooltip="usage"] "3" -> "4" [dir=forward tooltip="usage"] "3" -> "7" [dir=forward tooltip="usage"] "3" -> "9" [dir=forward tooltip="usage"] "3" -> "11" [dir=forward tooltip="usage"] "3" -> "12" [dir=forward tooltip="usage"] "3" -> "13" [dir=forward tooltip="usage"] "3" -> "29" [dir=forward tooltip="usage"] "3" -> "3" [dir=forward tooltip="usage"] "3" -> "41" [dir=forward tooltip="usage"] "17" -> "18" [dir=forward tooltip="public-inheritance"] "32" -> "3" [dir=forward tooltip="usage"] "32" -> "8" [dir=forward tooltip="usage"] "32" -> "33" [dir=forward tooltip="usage"] "32" -> "34" [dir=forward tooltip="usage"] "32" -> "26" [dir=forward tooltip="usage"] "32" -> "35" [dir=forward tooltip="usage"] "32" -> "32" [dir=forward tooltip="usage"] "7" -> "8" [dir=forward tooltip="usage"] "36" -> "37" [dir=forward tooltip="usage"] "36" -> "38" [dir=forward tooltip="usage"] "29" -> "3" [dir=forward tooltip="usage"] "29" -> "19" [dir=forward tooltip="usage"] "29" -> "30" [dir=forward tooltip="usage"] "29" -> "32" [dir=forward tooltip="usage"] "29" -> "36" [dir=forward tooltip="usage"] "29" -> "39" [dir=forward tooltip="usage"] "28" -> "16" [dir=forward tooltip="public-inheritance"] "1" -> "2" [dir=forward tooltip="public-inheritance"] "1" -> "42" [dir=forward tooltip="usage"] "14" -> "15" [dir=forward tooltip="usage"] "14" -> "19" [dir=forward tooltip="usage"] "14" -> "21" [dir=forward tooltip="usage"] "20" -> "18" [dir=forward tooltip="public-inheritance"] "2" -> "3" [dir=forward tooltip="public-inheritance"] "2" -> "8" [dir=forward tooltip="usage"] "2" -> "26" [dir=forward tooltip="usage"] "2" -> "16" [dir=forward tooltip="usage"] }

definition of a polyhedral geometry in R^3 Generally, a polyhedron is a list of polygonal faces.

But data is storages differently to avoid pointer manipulation So, we decide to store:

  • the list of vertices -> Vector<Point> p_

  • the definition of faces as a list of points -> Vector<Vector<number_t> > faces_ it is so that p_[faces_[i][j]] is the j-st vertex of the i-st face of the polyhedron

  • the number of nodes on each edge -> Vector<Vector<number_t> > n_ it is so that n_[i][j] is the number of nodes on j-st edge [ p_[faces_[i][j]] p_[faces_[i][j+1]] ] of the i-st face of the polyhedron

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

  • _faces: the geometrical faces defining the Polyhedron

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

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

  • _domain_name: to define the domain name

  • _side_names: to define the side names

  • _varnames: to define the variable names for print purpose

Subclassed by xlifepp::Hexahedron, xlifepp::Tetrahedron

Public Functions

Polyhedron()#

default constructor

default polyhedron is tetrahedron (0,0,0) (1,0,0) (0,1,0) (0,0,1)

Polyhedron(const Polyhedron &ph)#

copy constructor

Polyhedron(Parameter p1)#

constructor with 1 Parameter

Polyhedron(Parameter p1, Parameter p2)#

constructor with 2 Parameter

inline virtual ~Polyhedron()#

destructor

virtual string_t asString() const#

format as string

virtual std::vector<const Point*> boundNodes() const#

returns list of points on boundary (const)

virtual Geometry &buildBoundary() const#

create boundary geometry

create boundary geometry of polyhedron as a composite (union of faces)

inline virtual Geometry *clone() const#

virtual copy constructor

virtual void collect(const string_t &n, std::list<Geometry*>&) const#

collect in a list all canonical geometry’s with name n

inline virtual void computeMB()#

computes the minimal box

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

returns list of edges

inline const std::vector<Polygon*> &faces() const#

accessor to faces

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

apply a homothety on a Polyhedron (1 key)

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

apply a homothety on a Polyhedron (2 keys)

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

apply a homothety on a Polyhedron

inline virtual Polyhedron &homothetize(real_t factor)#

apply a homothety on a Polyhedron

inline number_t nbFaces() const#

accessor to number of faces

inline virtual number_t nbSides() const#

returns the number of sides

virtual std::vector<Point*> nodes()#

returns list of nodes (non const)

virtual std::vector<const Point*> nodes() const#

returns list of nodes (const)

inline number_t nOnEdge(number_t i, number_t j) const#

accessor to number of nodes on edge i

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

apply a point reflection on a Polyhedron (1 key)

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

apply a point reflection on a Polyhedron

inline virtual Polyhedron *polyhedron()#

access to child Polyhedron object

inline virtual const Polyhedron *polyhedron() const#

access to child Polyhedron object (const)

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

apply a reflection2d on a Polyhedron (1 key)

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

apply a reflection2d on a Polyhedron (2 keys)

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

apply a reflection2d on a Polyhedron

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

apply a reflection2d on a Polyhedron

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

apply a reflection3d on a Polyhedron (1 key)

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

apply a reflection3d on a Polyhedron (2 keys)

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

apply a reflection3d on a Polyhedron

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

apply a reflection3d on a Polyhedron

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

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

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

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

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

apply a rotation 2D on a Polyhedron

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

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

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

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

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

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

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

apply a rotation on a Polyhedron

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

apply a rotation on a Polyhedron

inline virtual Polyhedron &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 Polyhedron

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

apply a rotation 3D on a Polyhedron

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

apply a rotation 3D on a Polyhedron

inline virtual void setFaces()#

set the faces vector

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

returns list of faces

virtual Polyhedron &transform(const Transformation &t)#

apply a geometrical transformation on a Polyhedron

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

apply a translation on a Polyhedron (1 key)

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

apply a translation on a Polyhedron (3 reals version)

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

apply a translation on a Polyhedron (vector version)

void updateSideNames()#

update side names from face domain names (do not use for child of Polyhedron)

inline virtual std::vector<const Point*> wholeNodes() const#

< returns list of every point (const)

inline virtual bool withNnodes() const#

check if Polyhedron is defined only with _nnodes or with _hsteps option