Describes functions for computing all the extrema
between two surfaces.
An ExtremaSurfaceSurface algorithm minimizes or
maximizes the distance between a point on the first
surface and a point on the second surface. Results
are start and end points of perpendiculars common to the two surfaces.
Solutions consist of pairs of points, and an extremum
is considered to be a segment joining the two points of a solution.
An ExtremaSurfaceSurface object provides a framework for:
More...

#include <GeomAPI_ExtremaSurfaceSurface.hxx>

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

	GeomAPI_ExtremaSurfaceSurface (const Handle< Geom_Surface > &S1, const Handle< Geom_Surface > &S2)
	Computes the extrema distances between the surfaces <S1> and <S2> More...

	GeomAPI_ExtremaSurfaceSurface (const Handle< Geom_Surface > &S1, const Handle< Geom_Surface > &S2, const Quantity_Parameter U1min, const Quantity_Parameter U1max, const Quantity_Parameter V1min, const Quantity_Parameter V1max, const Quantity_Parameter U2min, const Quantity_Parameter U2max, const Quantity_Parameter V2min, const Quantity_Parameter V2max)
	Computes the extrema distances between <br> the portion of the surface S1 limited by the two values of parameter (U1min,U1max) in the u parametric direction, and by the two values of parameter (V1min,V1max) in the v parametric direction, and More...

void	Init (const Handle< Geom_Surface > &S1, const Handle< Geom_Surface > &S2)
	Initializes this algorithm with the given arguments and computes the extrema distances between the surfaces <S1> and <S2> More...

void	Init (const Handle< Geom_Surface > &S1, const Handle< Geom_Surface > &S2, const Quantity_Parameter U1min, const Quantity_Parameter U1max, const Quantity_Parameter V1min, const Quantity_Parameter V1max, const Quantity_Parameter U2min, const Quantity_Parameter U2max, const Quantity_Parameter V2min, const Quantity_Parameter V2max)
	Initializes this algorithm with the given arguments <br> and computes the extrema distances between - <br> the portion of the surface S1 limited by the two values of parameter (U1min,U1max) in the u parametric direction, and by the two values of parameter (V1min,V1max) in the v parametric direction, and 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_Pnt &P1, gp_Pnt &P2) const
	Returns the points P1 on the first surface and P2 on <br> the second surface, 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 &V1, Quantity_Parameter &U2, Quantity_Parameter &V2) const
	Returns the parameters (U1,V1) of the point on the <br> first surface, and (U2,V2) of the point on the second surface, 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_Pnt &P1, gp_Pnt &P2) const
	Returns the points P1 on the first surface and P2 on <br> the second surface, 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 &V1, Quantity_Parameter &U2, Quantity_Parameter &V2) const
	Returns the parameters (U1,V1) of the point on the <br> first surface and (U2,V2) of the point on the second surface, 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_ExtSS &	Extrema () const
	return the algorithmic object from Extrema More...

Detailed Description

Describes functions for computing all the extrema
between two surfaces.
An ExtremaSurfaceSurface algorithm minimizes or
maximizes the distance between a point on the first
surface and a point on the second surface. Results
are start and end points of perpendiculars common to the two surfaces.
Solutions consist of pairs of points, and an extremum
is considered to be a segment joining the two points of a solution.
An ExtremaSurfaceSurface 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 the two
surfaces do not correspond to one of the computed
extrema. Instead, they may be given by:
a point of a bounding curve of one surface and one of the following:
- its orthogonal projection on the other surface,
- a point of a bounding curve of the other surface; or
any point on intersection curves between the two surfaces.

Constructor & Destructor Documentation

GeomAPI_ExtremaSurfaceSurface::GeomAPI_ExtremaSurfaceSurface ( )

 Constructs an empty algorithm for computing <br>

extrema between two surfaces. Use an Init function
to define the surfaces on which it is going to work.

GeomAPI_ExtremaSurfaceSurface::GeomAPI_ExtremaSurfaceSurface	(	const Handle< Geom_Surface > &	S1,
		const Handle< Geom_Surface > &	S2
	)

Computes the extrema distances between the
surfaces <S1> and <S2>

GeomAPI_ExtremaSurfaceSurface::GeomAPI_ExtremaSurfaceSurface	(	const Handle< Geom_Surface > &	S1,
		const Handle< Geom_Surface > &	S2,
		const Quantity_Parameter	U1min,
		const Quantity_Parameter	U1max,
		const Quantity_Parameter	V1min,
		const Quantity_Parameter	V1max,
		const Quantity_Parameter	U2min,
		const Quantity_Parameter	U2max,
		const Quantity_Parameter	V2min,
		const Quantity_Parameter	V2max
	)

Computes  the  extrema  distances  between <br>

the portion of the surface S1 limited by the
two values of parameter (U1min,U1max) in
the u parametric direction, and by the two
values of parameter (V1min,V1max) in the v
parametric direction, and

the portion of the surface S2 limited by the
two values of parameter (U2min,U2max) in
the u parametric direction, and by the two
values of parameter (V2min,V2max) in the v
parametric direction.

Member Function Documentation

Quantity_Length GeomAPI_ExtremaSurfaceSurface::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_ExtSS& GeomAPI_ExtremaSurfaceSurface::Extrema ( ) const

return the algorithmic object from Extrema

void GeomAPI_ExtremaSurfaceSurface::Init	(	const Handle< Geom_Surface > &	S1,
		const Handle< Geom_Surface > &	S2
	)

Initializes this algorithm with the given arguments
and computes the extrema distances between the
surfaces <S1> and <S2>

void GeomAPI_ExtremaSurfaceSurface::Init	(	const Handle< Geom_Surface > &	S1,
		const Handle< Geom_Surface > &	S2,
		const Quantity_Parameter	U1min,
		const Quantity_Parameter	U1max,
		const Quantity_Parameter	V1min,
		const Quantity_Parameter	V1max,
		const Quantity_Parameter	U2min,
		const Quantity_Parameter	U2max,
		const Quantity_Parameter	V2min,
		const Quantity_Parameter	V2max
	)

 Initializes this algorithm with the given arguments <br>
   and computes  the  extrema  distances  between - <br>

the portion of the surface S1 limited by the two
values of parameter (U1min,U1max) in the u
parametric direction, and by the two values of
parameter (V1min,V1max) in the v parametric direction, and

the portion of the surface S2 limited by the two
values of parameter (U2min,U2max) in the u
parametric direction, and by the two values of
parameter (V2min,V2max) in the v parametric direction.

Quantity_Length GeomAPI_ExtremaSurfaceSurface::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 GeomAPI_ExtremaSurfaceSurface::LowerDistanceParameters	(	Quantity_Parameter &	U1,
		Quantity_Parameter &	V1,
		Quantity_Parameter &	U2,
		Quantity_Parameter &	V2
	)		const

 Returns the parameters (U1,V1) of the point on the <br>

first surface and (U2,V2) of the point on the second
surface, which are the ends of the shortest extremum
computed by this algorithm.
Exceptions - StdFail_NotDone if this algorithm fails.

Standard_Integer GeomAPI_ExtremaSurfaceSurface::NbExtrema ( ) const

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

Note: if this algorithm fails, NbExtrema returns 0.

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

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

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

GeomAPI_ExtremaSurfaceSurface::operator Standard_Integer ( ) const

GeomAPI_ExtremaSurfaceSurface::operator Standard_Real ( ) const

void GeomAPI_ExtremaSurfaceSurface::Parameters	(	const Standard_Integer	Index,
		Quantity_Parameter &	U1,
		Quantity_Parameter &	V1,
		Quantity_Parameter &	U2,
		Quantity_Parameter &	V2
	)		const

 Returns the parameters (U1,V1) of the point on the <br>

first surface, and (U2,V2) of the point on the second
surface, 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 GeomAPI_ExtremaSurfaceSurface::Points	(	const Standard_Integer	Index,
		gp_Pnt &	P1,
		gp_Pnt &	P2
	)		const

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

the second surface, 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:

GeomAPI_ExtremaSurfaceSurface.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation