Open CASCADE Technology  7.7.0.dev
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 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...
 
Standard_Boolean IsParallel () const
 Returns True if the two curves are parallel. 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_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 (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:

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.

◆ IsParallel()

Standard_Boolean GeomAPI_ExtremaCurveCurve::IsParallel ( ) const
inline

Returns True if the two curves are parallel.

◆ 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: