Class xlifepp::SplineArc#

class SplineArc : public xlifepp::Curve #

definition of a spline geometry in R^3

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

_vertices: list of control points
_spline: spline object
_spline_type: type of spline one of _C2Spline, _CatmullRomSpline, _BSpline, _BezierSpline, _Nurbs
_spline_subtype: subtype of spline, one of _SplineInterpolation, _SplineApproximation
_spline_BC: spline boundary condition, one of _naturalBC, _clampedBC, _periodicBC
_degree: degree of spline (default 3)
_tension: tension factor for _CatmullRomSpline
_spline_parametrization: spline parametrization type, one of _xParametrization, _uniformParametrization,_chordalParametrization, _centripetalParametrization
_weights: weights of control points (for _BSpline only)
_tangent_0, _tangent_1: tangent vectors at the bounds of the arc (for _clampedBC only)
_nnodes: to define the number of nodes on the arc
_hsteps: to define the local mesh steps on the bounds
_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

Public Functions

SplineArc()#

default constructor

default is a void spline (spline_=0)

SplineArc(const SplineArc&)#: copy constructor

SplineArc(Parameter p1)#: key-value constructor

~SplineArc()#: destructor

virtual string_t asString() const#: format as string

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

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

inline const std::vector<Point> &controlPoints() const#: accessors

void copy(const SplineArc&)#: copy tool (hard copy)

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

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

interface to spline parametrization

inverse of parametrization

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

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

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

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

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

inline virtual bool isClosed() const#: accessor to know if the curve is closed or not

virtual number_t lastNodeIndex() const#: return last node index (index starting from 1)

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

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

SplineArc &operator=(const SplineArc&)#: assign operator

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

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

virtual void printDetail(std::ostream&) const#

print additional information

interface to spline parametrization (t in [0,1])

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

inline virtual SplineArc &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 SplineArc

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

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

inline virtual SplineArc *splineArc()#: access to child SplineArc object

inline virtual const SplineArc *splineArc() const#: access to child SplineArc object (const)

virtual SplineArc &transform(const Transformation &t)#

apply a geometrical transformation on a SplineArc

apply a geometrical transformation to a SplineArc

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

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

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