Class xlifepp::ParametrizedArc#

class ParametrizedArc : public xlifepp::Curve #

definition of a ParametrizedArc geometry in R^3 : x1(t), x2(t), x3(t) if an additional linear transformation T is applied to: T(x1(t),x2(t),x3(t)) = A(x1(t),x2(t),x3(t)) + b where a=T.mat() and b=T.vec()

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

_tmin, _tmax: reals defining bounds of parameter t in parametrization
_parametrization: parametrization object is handled by Geometry
_partitioning: type of partition, one of _nonePartition*, _linearPartition, _splinePartition
_nbparts: number of partitions
_nnodes: to define the number of nodes on the Segment
_hsteps: to define the local mesh steps on the bounds of a Segment
_domain_name: to define the domain name
_side_names/_vertex_names: to define the side names
_varnames: to define the variable names for print purpose

built at construction p1_,p2_, p_: bounds node and nodes As gmsh does not support parametrized curve, when exported to GMSH, ParametrizedArc is split into nbparts_
- smaller segments (linearPartition)
- smaller splines (_splinePartition) Be caution, the parameter t should be taken in the interval [0,1] when using the function parametrization_ParametrizedArc whereas it should be taken in [tmin,tmax] when using the object arc_parametrization

Public Functions

ParametrizedArc()#

default constructor

no default is the ParametrizedArc [0,1]

ParametrizedArc(const ParametrizedArc&)#: copy constructor

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

inline ~ParametrizedArc()#: destructor

virtual string_t asString() const#: format as string

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

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

returns list of curves (const)

parametrization: [transformation_ * ] arc_parametrization

Vector<real_t> funParametrization(const Point &pt, Parameters &pars, DiffOpType d = _id) const#

parametrization

inverse of parametrization

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

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

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

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

Vector<real_t> invParametrization(const Point &pt, Parameters &pars, DiffOpType d = _id) const#: inverse of parametrization

inline virtual bool isClosed() const#: true if last point is the same as first point

inline virtual real_t measure() const#: return the length/area/volume of the geometry

inline virtual std::vector<number_t> nbElementsForGmshGeneration() const#: return number of points/arcs/lines/loops/surfaces/extrudable elements of a geometry (only for gmsh generation)

inline number_t nbParts() const#: return nb of partitions

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)

virtual std::vector<Point*> nodes()#: returns list of every node (non const)

virtual std::vector<const Point*> nodes() const#: returns list of every node (const)

inline virtual ParametrizedArc *parametrizedArc()#: access to child ParametrizedArc object

inline virtual const ParametrizedArc *parametrizedArc() const#: access to child ParametrizedArc object (const)

inline Partitioning partitioning() const#: return Partitioning

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

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

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

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

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

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

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

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

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

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

ParametrizedArc &reverse()#: reverse orientation of ParametrizedArc

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

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

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

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

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

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

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

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

inline virtual ParametrizedArc &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 ParametrizedArc

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

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

inline real_t tmin() const#: accessor to parameter bounds

virtual ParametrizedArc &transform(const Transformation &t)#

apply a geometrical transformation on a ParametrizedArc

apply a geometrical transformation to a ParametrizedArc

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

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

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