It calculates all the distances between a point and an elementary curve. These distances can be minimum or maximum. More...

#include <Extrema_ExtPElC2d.hxx>

Public Member Functions
	Extrema_ExtPElC2d ()

	Extrema_ExtPElC2d (const gp_Pnt2d &P, const gp_Lin2d &C, const double Tol, const double Uinf, const double Usup)
	Calculates the extremum distance between the point P and the segment [Uinf,Usup] of the line L.

void	Perform (const gp_Pnt2d &P, const gp_Lin2d &L, const double Tol, const double Uinf, const double Usup)

	Extrema_ExtPElC2d (const gp_Pnt2d &P, const gp_Circ2d &C, const double Tol, const double Uinf, const double Usup)
	Calculates the 2 extremum distances between the point P and the segment [Uinf,Usup] of the circle C. Tol is used to determine if P is on the axis of the circle or if an extremum is on an endpoint of the segment. If P is on the axis of the circle, there are infinite solution then IsDone(me)=False. The conditions on the Uinf and Usup are: 0. <= Uinf <= 2.PI and Usup > Uinf. If Usup > Uinf + 2.PI, then only the solutions in the range [Uinf,Uinf+2.*PI[ are computed.

void	Perform (const gp_Pnt2d &P, const gp_Circ2d &C, const double Tol, const double Uinf, const double Usup)

	Extrema_ExtPElC2d (const gp_Pnt2d &P, const gp_Elips2d &C, const double Tol, const double Uinf, const double Usup)
	Calculates the 4 extremum distances between the point P and the segment [Uinf,Usup] of the ellipse C. Tol is used to determine if the point is on the axis of the ellipse and if the major radius is equal to the minor radius or if an extremum is on an endpoint of the segment. If P is on the axis of the ellipse, there are infinite solution then IsDone(me)=False. The conditions on the Uinf and Usup are: 0. <= Uinf <= 2.PI and Usup > Uinf. If Usup > Uinf + 2.PI, then only the solutions in the range [Uinf,Uinf+2.*PI[ are computed.

void	Perform (const gp_Pnt2d &P, const gp_Elips2d &C, const double Tol, const double Uinf, const double Usup)

	Extrema_ExtPElC2d (const gp_Pnt2d &P, const gp_Hypr2d &C, const double Tol, const double Uinf, const double Usup)
	Calculates the extremum distances between the point P and the segment [Uinf,Usup] of the hyperbola C. Tol is used to determine if two solutions u and v are identical; the condition is: dist(C(u),C(v)) < Tol.

void	Perform (const gp_Pnt2d &P, const gp_Hypr2d &C, const double Tol, const double Uinf, const double Usup)

	Extrema_ExtPElC2d (const gp_Pnt2d &P, const gp_Parab2d &C, const double Tol, const double Uinf, const double Usup)
	Calculates the 4 extremum distances between the point P and the segment [Uinf,Usup] of the parabola C. Tol is used to determine if two solutions u and v are identical; the condition is: dist(C(u),C(v)) < Tol.

void	Perform (const gp_Pnt2d &P, const gp_Parab2d &C, const double Tol, const double Uinf, const double Usup)

bool	IsDone () const
	True if the distances are found.

int	NbExt () const
	Returns the number of extremum distances.

double	SquareDistance (const int N) const
	Returns the value of the Nth extremum square distance.

bool	IsMin (const int N) const
	Returns True if the Nth extremum distance is a minimum.

const Extrema_POnCurv2d &	Point (const int N) const
	Returns the point of the Nth extremum distance.

Detailed Description

It calculates all the distances between a point and an elementary curve. These distances can be minimum or maximum.

Constructor & Destructor Documentation

◆ Extrema_ExtPElC2d() [1/6]

Extrema_ExtPElC2d::Extrema_ExtPElC2d ( )

◆ Extrema_ExtPElC2d() [2/6]

Extrema_ExtPElC2d::Extrema_ExtPElC2d	(	const gp_Pnt2d &	P,
		const gp_Lin2d &	C,
		const double	Tol,
		const double	Uinf,
		const double	Usup )

Calculates the extremum distance between the point P and the segment [Uinf,Usup] of the line L.

◆ Extrema_ExtPElC2d() [3/6]

Extrema_ExtPElC2d::Extrema_ExtPElC2d	(	const gp_Pnt2d &	P,
		const gp_Circ2d &	C,
		const double	Tol,
		const double	Uinf,
		const double	Usup )

Calculates the 2 extremum distances between the point P and the segment [Uinf,Usup] of the circle C. Tol is used to determine if P is on the axis of the circle or if an extremum is on an endpoint of the segment. If P is on the axis of the circle, there are infinite solution then IsDone(me)=False. The conditions on the Uinf and Usup are: 0. <= Uinf <= 2.*PI and Usup > Uinf. If Usup > Uinf + 2.*PI, then only the solutions in the range [Uinf,Uinf+2.*PI[ are computed.

◆ Extrema_ExtPElC2d() [4/6]

Extrema_ExtPElC2d::Extrema_ExtPElC2d	(	const gp_Pnt2d &	P,
		const gp_Elips2d &	C,
		const double	Tol,
		const double	Uinf,
		const double	Usup )

Calculates the 4 extremum distances between the point P and the segment [Uinf,Usup] of the ellipse C. Tol is used to determine if the point is on the axis of the ellipse and if the major radius is equal to the minor radius or if an extremum is on an endpoint of the segment. If P is on the axis of the ellipse, there are infinite solution then IsDone(me)=False. The conditions on the Uinf and Usup are: 0. <= Uinf <= 2.*PI and Usup > Uinf. If Usup > Uinf + 2.*PI, then only the solutions in the range [Uinf,Uinf+2.*PI[ are computed.

◆ Extrema_ExtPElC2d() [5/6]

Extrema_ExtPElC2d::Extrema_ExtPElC2d	(	const gp_Pnt2d &	P,
		const gp_Hypr2d &	C,
		const double	Tol,
		const double	Uinf,
		const double	Usup )

Calculates the extremum distances between the point P and the segment [Uinf,Usup] of the hyperbola C. Tol is used to determine if two solutions u and v are identical; the condition is: dist(C(u),C(v)) < Tol.

◆ Extrema_ExtPElC2d() [6/6]

Extrema_ExtPElC2d::Extrema_ExtPElC2d	(	const gp_Pnt2d &	P,
		const gp_Parab2d &	C,
		const double	Tol,
		const double	Uinf,
		const double	Usup )

Calculates the 4 extremum distances between the point P and the segment [Uinf,Usup] of the parabola C. Tol is used to determine if two solutions u and v are identical; the condition is: dist(C(u),C(v)) < Tol.

Member Function Documentation

◆ IsDone()

bool Extrema_ExtPElC2d::IsDone ( ) const

True if the distances are found.

◆ IsMin()

bool Extrema_ExtPElC2d::IsMin ( const int N ) const

Returns True if the Nth extremum distance is a minimum.

◆ NbExt()

int Extrema_ExtPElC2d::NbExt ( ) const

Returns the number of extremum distances.

◆ Perform() [1/5]

void Extrema_ExtPElC2d::Perform	(	const gp_Pnt2d &	P,
		const gp_Circ2d &	C,
		const double	Tol,
		const double	Uinf,
		const double	Usup )

◆ Perform() [2/5]

void Extrema_ExtPElC2d::Perform	(	const gp_Pnt2d &	P,
		const gp_Elips2d &	C,
		const double	Tol,
		const double	Uinf,
		const double	Usup )

◆ Perform() [3/5]

void Extrema_ExtPElC2d::Perform	(	const gp_Pnt2d &	P,
		const gp_Hypr2d &	C,
		const double	Tol,
		const double	Uinf,
		const double	Usup )

◆ Perform() [4/5]

void Extrema_ExtPElC2d::Perform	(	const gp_Pnt2d &	P,
		const gp_Lin2d &	L,
		const double	Tol,
		const double	Uinf,
		const double	Usup )

◆ Perform() [5/5]

void Extrema_ExtPElC2d::Perform	(	const gp_Pnt2d &	P,
		const gp_Parab2d &	C,
		const double	Tol,
		const double	Uinf,
		const double	Usup )

◆ Point()

const Extrema_POnCurv2d & Extrema_ExtPElC2d::Point ( const int N ) const

Returns the point of the Nth extremum distance.

◆ SquareDistance()

double Extrema_ExtPElC2d::SquareDistance ( const int N ) const

Returns the value of the Nth extremum square distance.

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

Extrema_ExtPElC2d.hxx

Public Member Functions