If the curve function happens to be parameterized by arc length, this implementation for a curve can be used. More...

Inheritance diagram for trax::CurveArcLength_Imp< FunctionParametrizedByArcLength, Base >:

Public Types
using	DataType = typename Base::Data

Public Member Functions
bool	IsValid () const noexcept override
AnglePerLength	Curvature (Length s) const noexcept override
AnglePerLength	Torsion (Length s) const override
void	Transition (Length s, Position< Length > &pos) const override
void	Transition (Length s, Vector< One > &tan) const override
void	Transition (Length s, VectorBundle< Length, One > &bundle) const override
void	Transition (Length s, VectorBundle2< Length, One > &bundle) const override
void	Transition (Length s, Frame< Length, One > &frame) const override
std::vector< Length >	ZeroSet () const override
common::Interval< Length >	Range () const noexcept(noexcept(f.Range())) override
spat::Frame< Length, One >	GetCurveLocalTransformation () const override
bool	Mirror (const spat::VectorBundle< Length, One > &mirrorPlane) noexcept(noexcept(f.Mirror(mirrorPlane))) override
bool	Equals (const Curve &toCurve, common::Interval< Length > range, Length epsilon_length, Angle epsilon_angle) const override
common::Interval< Length >	Create (const DataType &data) override
const DataType &	GetData () const noexcept override

Protected Attributes
FunctionParametrizedByArcLength	f

Detailed Description

template<class FunctionParametrizedByArcLength, class Base>
class trax::CurveArcLength_Imp< FunctionParametrizedByArcLength, Base >

If the curve function happens to be parameterized by arc length, this implementation for a curve can be used.

In the general argument the dt/ds becomes 1 and the d²t/ds² becomes 0. From that it follows:

T = D1 N = D2 / sqrt(D2*D2) k = sqrt(D2*D2) t = (D1 % D2) * D3 / (D2*D2)

The documentation for this class was generated from the following file:

Public Types