Open CASCADE Technology 6.6.0
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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 | |
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_ExtCC2d & | Extrema () const |
Geom2dAPI_ExtremaCurveCurve::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 | ||
) |
Quantity_Length Geom2dAPI_ExtremaCurveCurve::Distance | ( | const Standard_Integer | Index | ) | const |
const Extrema_ExtCC2d& Geom2dAPI_ExtremaCurveCurve::Extrema | ( | ) | const |
Quantity_Length Geom2dAPI_ExtremaCurveCurve::LowerDistance | ( | ) | const |
void Geom2dAPI_ExtremaCurveCurve::LowerDistanceParameters | ( | Quantity_Parameter & | U1, |
Quantity_Parameter & | U2 | ||
) | const |
Standard_Integer Geom2dAPI_ExtremaCurveCurve::NbExtrema | ( | ) | const |
Geom2dAPI_ExtremaCurveCurve::operator Standard_Integer | ( | ) | const |
Geom2dAPI_ExtremaCurveCurve::operator Standard_Real | ( | ) | const |
void Geom2dAPI_ExtremaCurveCurve::Parameters | ( | const Standard_Integer | Index, |
Quantity_Parameter & | U1, | ||
Quantity_Parameter & | U2 | ||
) | const |
void Geom2dAPI_ExtremaCurveCurve::Points | ( | const Standard_Integer | Index, |
gp_Pnt2d & | P1, | ||
gp_Pnt2d & | P2 | ||
) | const |