Open CASCADE Technology  7.0.0
Public Member Functions
GeomAPI_ExtremaCurveCurve Class Reference

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 Quantity_Parameter U1min, const Quantity_Parameter U1max, const Quantity_Parameter U2min, const Quantity_Parameter 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 Quantity_Parameter U1min, const Quantity_Parameter U1max, const Quantity_Parameter U2min, const Quantity_Parameter 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, Quantity_Parameter &U1, Quantity_Parameter &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...
 
Quantity_Length 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 (Quantity_Parameter &U1, Quantity_Parameter &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...
 
Quantity_Length 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_ExtCCExtrema () 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 (Quantity_Parameter &U1, Quantity_Parameter &U2)
 set in <U1> and <U2> the parameters of the couple solution points which represents the total nearest solution. More...
 
Quantity_Length 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:

Constructor & Destructor Documentation

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

Computes the extrema between the curves C1 and C2.

GeomAPI_ExtremaCurveCurve::GeomAPI_ExtremaCurveCurve ( const Handle< Geom_Curve > &  C1,
const Handle< Geom_Curve > &  C2,
const Quantity_Parameter  U1min,
const Quantity_Parameter  U1max,
const Quantity_Parameter  U2min,
const Quantity_Parameter  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

Quantity_Length 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.

const Extrema_ExtCC& GeomAPI_ExtremaCurveCurve::Extrema ( ) const

return the algorithmic object from Extrema

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.

void GeomAPI_ExtremaCurveCurve::Init ( const Handle< Geom_Curve > &  C1,
const Handle< Geom_Curve > &  C2,
const Quantity_Parameter  U1min,
const Quantity_Parameter  U1max,
const Quantity_Parameter  U2min,
const Quantity_Parameter  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.
Quantity_Length 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.

void GeomAPI_ExtremaCurveCurve::LowerDistanceParameters ( Quantity_Parameter U1,
Quantity_Parameter 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.

Standard_Integer GeomAPI_ExtremaCurveCurve::NbExtrema ( ) const

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

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.

GeomAPI_ExtremaCurveCurve::operator Standard_Integer ( ) const
GeomAPI_ExtremaCurveCurve::operator Standard_Real ( ) const
void GeomAPI_ExtremaCurveCurve::Parameters ( const Standard_Integer  Index,
Quantity_Parameter U1,
Quantity_Parameter 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.

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.

Quantity_Length GeomAPI_ExtremaCurveCurve::TotalLowerDistance ( )

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

Standard_Boolean GeomAPI_ExtremaCurveCurve::TotalLowerDistanceParameters ( Quantity_Parameter U1,
Quantity_Parameter U2 
)

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

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: