Describes functions for computing all the extrema
between two 2D curves.
An ExtremaCurveCurve algorithm minimizes or
maximizes the distance between a point on the first
curve and a point on the second curve. Thus, it
computes the start point and end point of
perpendiculars common to the two curves (an
intersection point is not an extremum except where
the two curves are tangential at this point).
Solutions consist of pairs of points, and an extremum
is considered to be a segment joining the two points of a solution.
An ExtremaCurveCurve object provides a framework for:
More...

#include <Geom2dAPI_ExtremaCurveCurve.hxx>

Public Member Functions
	Geom2dAPI_ExtremaCurveCurve (const Handle< Geom2d_Curve > &C1, const Handle< Geom2d_Curve > &C2, const Quantity_Parameter U1min, const Quantity_Parameter U1max, const Quantity_Parameter U2min, const Quantity_Parameter U2max)
	Computes the extrema between More...

Standard_Integer	NbExtrema () const
	Returns the number of extrema computed by this algorithm. <br> Note: if this algorithm fails, NbExtrema returns 0. More...

	operator Standard_Integer () const

void	Points (const Standard_Integer Index, gp_Pnt2d &P1, gp_Pnt2d &P2) const
	Returns the points P1 on the first curve and P2 on <br> the second curve, which are the ends of the extremum of index Index computed by this algorithm. Exceptions Standard_OutOfRange if Index is not in the range [ 1,NbExtrema ], where NbExtrema is the number of extrema computed by this algorithm. More...

void	Parameters (const Standard_Integer Index, Quantity_Parameter &U1, Quantity_Parameter &U2) const
	Returns the parameters U1 of the point on the first <br> curve and U2 of the point on the second curve, which are the ends of the extremum of index Index computed by this algorithm. Exceptions Standard_OutOfRange if Index is not in the range [ 1,NbExtrema ], where NbExtrema is the number of extrema computed by this algorithm. More...

Quantity_Length	Distance (const Standard_Integer Index) const
	Computes the distance between the end points of the <br> extremum of index Index computed by this algorithm. Exceptions Standard_OutOfRange if Index is not in the range [ 1,NbExtrema ], where NbExtrema is the number of extrema computed by this algorithm. More...

void	NearestPoints (gp_Pnt2d &P1, gp_Pnt2d &P2) const
	Returns the points P1 on the first curve and P2 on <br> the second curve, which are the ends of the shortest extremum computed by this algorithm. Exceptions StdFail_NotDone if this algorithm fails. More...

void	LowerDistanceParameters (Quantity_Parameter &U1, Quantity_Parameter &U2) const
	Returns the parameters U1 of the point on the first <br> curve and U2 of the point on the second curve, which are the ends of the shortest extremum computed by this algorithm. Exceptions StdFail_NotDone if this algorithm fails. More...

Quantity_Length	LowerDistance () const
	Computes the distance between the end points of the <br> shortest extremum computed by this algorithm. Exceptions - StdFail_NotDone if this algorithm fails. More...

	operator Standard_Real () const

const Extrema_ExtCC2d &	Extrema () const

Detailed Description

Describes functions for computing all the extrema
between two 2D curves.
An ExtremaCurveCurve algorithm minimizes or
maximizes the distance between a point on the first
curve and a point on the second curve. Thus, it
computes the start point and end point of
perpendiculars common to the two curves (an
intersection point is not an extremum except where
the two curves are tangential at this point).
Solutions consist of pairs of points, and an extremum
is considered to be a segment joining the two points of a solution.
An ExtremaCurveCurve object provides a framework for:

defining the construction of the extrema,
implementing the construction algorithm, and
consulting the results.
Warning
In some cases, the nearest points between two
curves do not correspond to one of the computed
extrema. Instead, they may be given by:
a limit point of one curve and one of the following:
- its orthogonal projection on the other curve,
- a limit point of the other curve; or
an intersection point between the two curves.

Constructor & Destructor Documentation

Geom2dAPI_ExtremaCurveCurve::Geom2dAPI_ExtremaCurveCurve	(	const Handle< Geom2d_Curve > &	C1,
		const Handle< Geom2d_Curve > &	C2,
		const Quantity_Parameter	U1min,
		const Quantity_Parameter	U1max,
		const Quantity_Parameter	U2min,
		const Quantity_Parameter	U2max
	)

Computes the extrema between

the portion of the curve C1 limited by the two
points of parameter (U1min,U1max), and
the portion of the curve C2 limited by the two
points of parameter (U2min,U2max).
Warning
Use the function NbExtrema to obtain the number
of solutions. If this algorithm fails, NbExtrema returns 0.

Member Function Documentation

Quantity_Length Geom2dAPI_ExtremaCurveCurve::Distance ( const Standard_Integer Index ) const

 Computes the distance between the end points of the <br>

extremum of index Index computed by this algorithm.
Exceptions
Standard_OutOfRange if Index is not in the range [
1,NbExtrema ], where NbExtrema is the
number of extrema computed by this algorithm.

const Extrema_ExtCC2d& Geom2dAPI_ExtremaCurveCurve::Extrema ( ) const

Quantity_Length Geom2dAPI_ExtremaCurveCurve::LowerDistance ( ) const

 Computes the distance between the end points of the <br>

shortest extremum computed by this algorithm.
Exceptions - StdFail_NotDone if this algorithm fails.

void Geom2dAPI_ExtremaCurveCurve::LowerDistanceParameters	(	Quantity_Parameter &	U1,
		Quantity_Parameter &	U2
	)		const

 Returns the parameters U1 of the point on the first <br>

curve and U2 of the point on the second curve, which
are the ends of the shortest extremum computed by this algorithm.
Exceptions
StdFail_NotDone if this algorithm fails.

Standard_Integer Geom2dAPI_ExtremaCurveCurve::NbExtrema ( ) const

 Returns the number of extrema computed by this algorithm. <br>

Note: if this algorithm fails, NbExtrema returns 0.

void Geom2dAPI_ExtremaCurveCurve::NearestPoints	(	gp_Pnt2d &	P1,
		gp_Pnt2d &	P2
	)		const

 Returns the points P1 on the first curve and P2 on <br>

the second curve, which are the ends of the shortest
extremum computed by this algorithm.
Exceptions StdFail_NotDone if this algorithm fails.

Geom2dAPI_ExtremaCurveCurve::operator Standard_Integer ( ) const

Geom2dAPI_ExtremaCurveCurve::operator Standard_Real ( ) const

void Geom2dAPI_ExtremaCurveCurve::Parameters	(	const Standard_Integer	Index,
		Quantity_Parameter &	U1,
		Quantity_Parameter &	U2
	)		const

 Returns the parameters U1 of the point on the first <br>

curve and U2 of the point on the second curve, which
are the ends of the extremum of index Index
computed by this algorithm.
Exceptions
Standard_OutOfRange if Index is not in the range [
1,NbExtrema ], where NbExtrema is the
number of extrema computed by this algorithm.

void Geom2dAPI_ExtremaCurveCurve::Points	(	const Standard_Integer	Index,
		gp_Pnt2d &	P1,
		gp_Pnt2d &	P2
	)		const

 Returns the points P1 on the first curve and P2 on <br>

the second curve, which are the ends of the
extremum of index Index computed by this algorithm.
Exceptions
Standard_OutOfRange if Index is not in the range [
1,NbExtrema ], where NbExtrema is the
number of extrema computed by this algorithm.

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

Geom2dAPI_ExtremaCurveCurve.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation