Class xlifepp::ParameterizedArc

class ParameterizedArc : public xlifepp::Curve

definition of a ParameterizedArc 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()

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

• _tmin, _tmax: reals defining bounds of parameter t in parameterization

• _parameterization: parameterization 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: 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 parameterized curve, when exported to GMSH, ParameterizedArc 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 parameterization_ParameterizedArc whereas it should be taken in [tmin,tmax] when using the object arc_parameterization