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Geom2dAPI_ExtremaCurveCurve Class Reference

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:
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#include <Geom2dAPI_ExtremaCurveCurve.hxx>

Public Member Functions

DEFINE_STANDARD_ALLOC 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

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

 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
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 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.

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.

void NearestPoints (gp_Pnt2d &P1, gp_Pnt2d &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.

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.

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.

 operator Standard_Real () const
const Extrema_ExtCC2dExtrema () const

Detailed Description


Constructor & Destructor Documentation

  • 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

Geom2dAPI_ExtremaCurveCurve::operator Standard_Integer ( ) const
Geom2dAPI_ExtremaCurveCurve::operator Standard_Real ( ) const

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