Describes functions for computing all the extrema between two 3D 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 start and end points of perpendiculars common to the two curves (an intersection point is not an extremum unless 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 <GeomAPI_ExtremaCurveCurve.hxx>

Public Member Functions
	GeomAPI_ExtremaCurveCurve ()
	Constructs an empty algorithm for computing extrema between two curves. Use an Init function to define the curves on which it is going to work. More...

	GeomAPI_ExtremaCurveCurve (const Handle< Geom_Curve > &C1, const Handle< Geom_Curve > &C2)
	Computes the extrema between the curves C1 and C2. More...

	GeomAPI_ExtremaCurveCurve (const Handle< Geom_Curve > &C1, const Handle< Geom_Curve > &C2, const Standard_Real U1min, const Standard_Real U1max, const Standard_Real U2min, const Standard_Real U2max)
	Computes the portion of the curve C1 limited by the two points of parameter (U1min,U1max), and. More...

void	Init (const Handle< Geom_Curve > &C1, const Handle< Geom_Curve > &C2)
	Initializes this algorithm with the given arguments and computes the extrema between the curves C1 and C2. More...

void	Init (const Handle< Geom_Curve > &C1, const Handle< Geom_Curve > &C2, const Standard_Real U1min, const Standard_Real U1max, const Standard_Real U2min, const Standard_Real U2max)
	Initializes this algorithm with the given arguments and computes the extrema between : More...

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

	operator Standard_Integer () const

void	Points (const Standard_Integer Index, gp_Pnt &P1, gp_Pnt &P2) const
	Returns the points P1 on the first curve and P2 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...

void	Parameters (const Standard_Integer Index, Standard_Real &U1, Standard_Real &U2) const
	Returns the parameters U1 of the point on the first 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...

Standard_Real	Distance (const Standard_Integer Index) const
	Computes the distance between the end points 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	NearestPoints (gp_Pnt &P1, gp_Pnt &P2) const
	Returns the points P1 on the first curve and P2 on 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 (Standard_Real &U1, Standard_Real &U2) const
	Returns the parameters U1 of the point on the first 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...

Standard_Real	LowerDistance () const
	Computes the distance between the end points of the shortest extremum computed by this algorithm. Exceptions StdFail_NotDone if this algorithm fails. More...

	operator Standard_Real () const

const Extrema_ExtCC &	Extrema () const
	return the algorithmic object from Extrema More...

Standard_Boolean	TotalNearestPoints (gp_Pnt &P1, gp_Pnt &P2)
	set in <P1> and <P2> the couple solution points such a the distance [P1,P2] is the minimum. taking in account extremity points of curves. More...

Standard_Boolean	TotalLowerDistanceParameters (Standard_Real &U1, Standard_Real &U2)
	set in <U1> and <U2> the parameters of the couple solution points which represents the total nearest solution. More...

Standard_Real	TotalLowerDistance ()
	return the distance of the total nearest couple solution point. if <myExtCC> is not done More...

Detailed Description

Describes functions for computing all the extrema between two 3D 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 start and end points of perpendiculars common to the two curves (an intersection point is not an extremum unless 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

◆ GeomAPI_ExtremaCurveCurve() [1/3]

GeomAPI_ExtremaCurveCurve::GeomAPI_ExtremaCurveCurve ( )

Constructs an empty algorithm for computing extrema between two curves. Use an Init function to define the curves on which it is going to work.

◆ GeomAPI_ExtremaCurveCurve() [2/3]

GeomAPI_ExtremaCurveCurve::GeomAPI_ExtremaCurveCurve	(	const Handle< Geom_Curve > &	C1,
		const Handle< Geom_Curve > &	C2
	)

Computes the extrema between the curves C1 and C2.

◆ GeomAPI_ExtremaCurveCurve() [3/3]

GeomAPI_ExtremaCurveCurve::GeomAPI_ExtremaCurveCurve	(	const Handle< Geom_Curve > &	C1,
		const Handle< Geom_Curve > &	C2,
		const Standard_Real	U1min,
		const Standard_Real	U1max,
		const Standard_Real	U2min,
		const Standard_Real	U2max
	)

Computes 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

◆ Distance()

Standard_Real GeomAPI_ExtremaCurveCurve::Distance ( const Standard_Integer Index ) const

Computes the distance between the end points 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.

◆ Extrema()

const Extrema_ExtCC& GeomAPI_ExtremaCurveCurve::Extrema ( ) const

return the algorithmic object from Extrema

◆ Init() [1/2]

void GeomAPI_ExtremaCurveCurve::Init	(	const Handle< Geom_Curve > &	C1,
		const Handle< Geom_Curve > &	C2
	)

Initializes this algorithm with the given arguments and computes the extrema between the curves C1 and C2.

◆ Init() [2/2]

void GeomAPI_ExtremaCurveCurve::Init	(	const Handle< Geom_Curve > &	C1,
		const Handle< Geom_Curve > &	C2,
		const Standard_Real	U1min,
		const Standard_Real	U1max,
		const Standard_Real	U2min,
		const Standard_Real	U2max
	)

Initializes this algorithm with the given arguments and 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.

◆ LowerDistance()

Standard_Real GeomAPI_ExtremaCurveCurve::LowerDistance ( ) const

Computes the distance between the end points of the shortest extremum computed by this algorithm. Exceptions StdFail_NotDone if this algorithm fails.

◆ LowerDistanceParameters()

void GeomAPI_ExtremaCurveCurve::LowerDistanceParameters	(	Standard_Real &	U1,
		Standard_Real &	U2
	)		const

Returns the parameters U1 of the point on the first 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.

◆ NbExtrema()

Standard_Integer GeomAPI_ExtremaCurveCurve::NbExtrema ( ) const

Returns the number of extrema computed by this algorithm. Note: if this algorithm fails, NbExtrema returns 0.

◆ NearestPoints()

void GeomAPI_ExtremaCurveCurve::NearestPoints	(	gp_Pnt &	P1,
		gp_Pnt &	P2
	)		const

Returns the points P1 on the first curve and P2 on the second curve, which are the ends of the shortest extremum computed by this algorithm. Exceptions StdFail_NotDone if this algorithm fails.

◆ operator Standard_Integer()

GeomAPI_ExtremaCurveCurve::operator Standard_Integer ( ) const

◆ operator Standard_Real()

GeomAPI_ExtremaCurveCurve::operator Standard_Real ( ) const

◆ Parameters()

void GeomAPI_ExtremaCurveCurve::Parameters	(	const Standard_Integer	Index,
		Standard_Real &	U1,
		Standard_Real &	U2
	)		const

Returns the parameters U1 of the point on the first 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.

◆ Points()

void GeomAPI_ExtremaCurveCurve::Points	(	const Standard_Integer	Index,
		gp_Pnt &	P1,
		gp_Pnt &	P2
	)		const

Returns the points P1 on the first curve and P2 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.

◆ TotalLowerDistance()

Standard_Real GeomAPI_ExtremaCurveCurve::TotalLowerDistance ( )

return the distance of the total nearest couple solution point. if <myExtCC> is not done

◆ TotalLowerDistanceParameters()

Standard_Boolean GeomAPI_ExtremaCurveCurve::TotalLowerDistanceParameters	(	Standard_Real &	U1,
		Standard_Real &	U2
	)

set in <U1> and <U2> the parameters of the couple solution points which represents the total nearest solution.

◆ TotalNearestPoints()

Standard_Boolean GeomAPI_ExtremaCurveCurve::TotalNearestPoints	(	gp_Pnt &	P1,
		gp_Pnt &	P2
	)

set in <P1> and <P2> the couple solution points such a the distance [P1,P2] is the minimum. taking in account extremity points of curves.

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

GeomAPI_ExtremaCurveCurve.hxx

GeomAPI_ExtremaCurveCurve Class Reference

Public Member Functions