Provides an algorithm to compute a point on a curve situated at a given distance from another point on the curve, the distance being measured along the curve (curvilinear abscissa on the curve). This algorithm is also used to compute the length of a curve. An AbscissaPoint object provides a framework for: More...

#include <GCPnts_AbscissaPoint.hxx>

Public Member Functions
	GCPnts_AbscissaPoint ()
	Empty constructor. More...

	GCPnts_AbscissaPoint (const Adaptor3d_Curve &theC, const Standard_Real theAbscissa, const Standard_Real theU0)
	The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0. More...

	GCPnts_AbscissaPoint (const Standard_Real theTol, const Adaptor3d_Curve &theC, const Standard_Real theAbscissa, const Standard_Real theU0)
	The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0 with the given tolerance. More...

	GCPnts_AbscissaPoint (const Standard_Real theTol, const Adaptor2d_Curve2d &theC, const Standard_Real theAbscissa, const Standard_Real theU0)
	The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0 with the given tolerance. More...

	GCPnts_AbscissaPoint (const Adaptor2d_Curve2d &theC, const Standard_Real theAbscissa, const Standard_Real theU0)
	The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0. More...

	GCPnts_AbscissaPoint (const Adaptor3d_Curve &theC, const Standard_Real theAbscissa, const Standard_Real theU0, const Standard_Real theUi)
	The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0. theUi is the starting value used in the iterative process which find the solution, it must be close to the final solution. More...

	GCPnts_AbscissaPoint (const Adaptor2d_Curve2d &theC, const Standard_Real theAbscissa, const Standard_Real theU0, const Standard_Real theUi)
	The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0. theUi is the starting value used in the iterative process which find the solution, it must be closed to the final solution. More...

	GCPnts_AbscissaPoint (const Adaptor3d_Curve &theC, const Standard_Real theAbscissa, const Standard_Real theU0, const Standard_Real theUi, const Standard_Real theTol)
	The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0. theUi is the starting value used in the iterative process which find the solution, it must be close to the final solution. More...

	GCPnts_AbscissaPoint (const Adaptor2d_Curve2d &theC, const Standard_Real theAbscissa, const Standard_Real theU0, const Standard_Real theUi, const Standard_Real theTol)
	The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0. theUi is the starting value used in the iterative process which find the solution, it must be close to the final solution. More...

Standard_Boolean	IsDone () const
	True if the computation was successful, False otherwise. IsDone is a protection against: More...

Standard_Real	Parameter () const
	Returns the parameter on the curve of the point solution of this algorithm. Exceptions StdFail_NotDone if the computation was not successful, or was not done. More...

Static Public Member Functions
static Standard_Real	Length (const Adaptor3d_Curve &theC)
	Computes the length of the 3D Curve. More...

static Standard_Real	Length (const Adaptor2d_Curve2d &theC)
	Computes the length of the 2D Curve. More...

static Standard_Real	Length (const Adaptor3d_Curve &theC, const Standard_Real theTol)
	Computes the length of the 3D Curve with the given tolerance. More...

static Standard_Real	Length (const Adaptor2d_Curve2d &theC, const Standard_Real theTol)
	Computes the length of the 2D Curve with the given tolerance. More...

static Standard_Real	Length (const Adaptor3d_Curve &theC, const Standard_Real theU1, const Standard_Real theU2)
	Computes the length of the 3D Curve. More...

static Standard_Real	Length (const Adaptor2d_Curve2d &theC, const Standard_Real theU1, const Standard_Real theU2)
	Computes the length of the 2D Curve. More...

static Standard_Real	Length (const Adaptor3d_Curve &theC, const Standard_Real theU1, const Standard_Real theU2, const Standard_Real theTol)
	Computes the length of the 3D Curve with the given tolerance. More...

static Standard_Real	Length (const Adaptor2d_Curve2d &theC, const Standard_Real theU1, const Standard_Real theU2, const Standard_Real theTol)
	Computes the length of the Curve with the given tolerance. More...

Detailed Description

Provides an algorithm to compute a point on a curve situated at a given distance from another point on the curve, the distance being measured along the curve (curvilinear abscissa on the curve). This algorithm is also used to compute the length of a curve. An AbscissaPoint object provides a framework for:

defining the point to compute
implementing the construction algorithm
consulting the result.

Constructor & Destructor Documentation

◆ GCPnts_AbscissaPoint() [1/9]

GCPnts_AbscissaPoint::GCPnts_AbscissaPoint ( )

Empty constructor.

◆ GCPnts_AbscissaPoint() [2/9]

GCPnts_AbscissaPoint::GCPnts_AbscissaPoint	(	const Adaptor3d_Curve &	theC,
		const Standard_Real	theAbscissa,
		const Standard_Real	theU0
	)

The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0.

◆ GCPnts_AbscissaPoint() [3/9]

GCPnts_AbscissaPoint::GCPnts_AbscissaPoint	(	const Standard_Real	theTol,
		const Adaptor3d_Curve &	theC,
		const Standard_Real	theAbscissa,
		const Standard_Real	theU0
	)

The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0 with the given tolerance.

◆ GCPnts_AbscissaPoint() [4/9]

GCPnts_AbscissaPoint::GCPnts_AbscissaPoint	(	const Standard_Real	theTol,
		const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theAbscissa,
		const Standard_Real	theU0
	)

The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0 with the given tolerance.

◆ GCPnts_AbscissaPoint() [5/9]

GCPnts_AbscissaPoint::GCPnts_AbscissaPoint	(	const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theAbscissa,
		const Standard_Real	theU0
	)

The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0.

◆ GCPnts_AbscissaPoint() [6/9]

GCPnts_AbscissaPoint::GCPnts_AbscissaPoint	(	const Adaptor3d_Curve &	theC,
		const Standard_Real	theAbscissa,
		const Standard_Real	theU0,
		const Standard_Real	theUi
	)

The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0. theUi is the starting value used in the iterative process which find the solution, it must be close to the final solution.

◆ GCPnts_AbscissaPoint() [7/9]

GCPnts_AbscissaPoint::GCPnts_AbscissaPoint	(	const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theAbscissa,
		const Standard_Real	theU0,
		const Standard_Real	theUi
	)

The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0. theUi is the starting value used in the iterative process which find the solution, it must be closed to the final solution.

◆ GCPnts_AbscissaPoint() [8/9]

GCPnts_AbscissaPoint::GCPnts_AbscissaPoint	(	const Adaptor3d_Curve &	theC,
		const Standard_Real	theAbscissa,
		const Standard_Real	theU0,
		const Standard_Real	theUi,
		const Standard_Real	theTol
	)

The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0. theUi is the starting value used in the iterative process which find the solution, it must be close to the final solution.

◆ GCPnts_AbscissaPoint() [9/9]

GCPnts_AbscissaPoint::GCPnts_AbscissaPoint	(	const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theAbscissa,
		const Standard_Real	theU0,
		const Standard_Real	theUi,
		const Standard_Real	theTol
	)

The algorithm computes a point on a curve at the distance theAbscissa from the point of parameter theU0. theUi is the starting value used in the iterative process which find the solution, it must be close to the final solution.

Member Function Documentation

◆ IsDone()

Standard_Boolean GCPnts_AbscissaPoint::IsDone ( ) const

inline

True if the computation was successful, False otherwise. IsDone is a protection against:

non-convergence of the algorithm
querying the results before computation.

◆ Length() [1/8]

static Standard_Real GCPnts_AbscissaPoint::Length ( const Adaptor2d_Curve2d & theC )

static

Computes the length of the 2D Curve.

◆ Length() [2/8]

static Standard_Real GCPnts_AbscissaPoint::Length	(	const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theTol
	)

static

Computes the length of the 2D Curve with the given tolerance.

◆ Length() [3/8]

static Standard_Real GCPnts_AbscissaPoint::Length	(	const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theU1,
		const Standard_Real	theU2
	)

static

Computes the length of the 2D Curve.

◆ Length() [4/8]

static Standard_Real GCPnts_AbscissaPoint::Length	(	const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theU1,
		const Standard_Real	theU2,
		const Standard_Real	theTol
	)

static

Computes the length of the Curve with the given tolerance.

◆ Length() [5/8]

static Standard_Real GCPnts_AbscissaPoint::Length ( const Adaptor3d_Curve & theC )

static

Computes the length of the 3D Curve.

◆ Length() [6/8]

static Standard_Real GCPnts_AbscissaPoint::Length	(	const Adaptor3d_Curve &	theC,
		const Standard_Real	theTol
	)

static

Computes the length of the 3D Curve with the given tolerance.

◆ Length() [7/8]

static Standard_Real GCPnts_AbscissaPoint::Length	(	const Adaptor3d_Curve &	theC,
		const Standard_Real	theU1,
		const Standard_Real	theU2
	)

static

Computes the length of the 3D Curve.

◆ Length() [8/8]

static Standard_Real GCPnts_AbscissaPoint::Length	(	const Adaptor3d_Curve &	theC,
		const Standard_Real	theU1,
		const Standard_Real	theU2,
		const Standard_Real	theTol
	)

static

Computes the length of the 3D Curve with the given tolerance.

◆ Parameter()

Standard_Real GCPnts_AbscissaPoint::Parameter ( ) const

inline

Returns the parameter on the curve of the point solution of this algorithm. Exceptions StdFail_NotDone if the computation was not successful, or was not done.

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

GCPnts_AbscissaPoint.hxx

GCPnts_AbscissaPoint Class Reference

Public Member Functions

Static Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ GCPnts_AbscissaPoint() [1/9]

◆ GCPnts_AbscissaPoint() [2/9]

◆ GCPnts_AbscissaPoint() [3/9]

◆ GCPnts_AbscissaPoint() [4/9]

◆ GCPnts_AbscissaPoint() [5/9]

◆ GCPnts_AbscissaPoint() [6/9]

◆ GCPnts_AbscissaPoint() [7/9]

◆ GCPnts_AbscissaPoint() [8/9]

◆ GCPnts_AbscissaPoint() [9/9]

Member Function Documentation

◆ IsDone()

◆ Length() [1/8]

◆ Length() [2/8]

◆ Length() [3/8]

◆ Length() [4/8]

◆ Length() [5/8]

◆ Length() [6/8]

◆ Length() [7/8]

◆ Length() [8/8]

◆ Parameter()