GCPnts_TangentialDeflection Class Reference

Computes a set of points on a curve from package Adaptor3d such as between two successive points P1(u1)and P2(u2) : More...

#include <GCPnts_TangentialDeflection.hxx>

Public Member Functions
	GCPnts_TangentialDeflection ()
	Empty constructor.
	GCPnts_TangentialDeflection (const Adaptor3d_Curve &theC, const Standard_Real theAngularDeflection, const Standard_Real theCurvatureDeflection, const Standard_Integer theMinimumOfPoints=2, const Standard_Real theUTol=1.0e-9, const Standard_Real theMinLen=1.0e-7)
	Constructor for 3D curve.
	GCPnts_TangentialDeflection (const Adaptor3d_Curve &theC, const Standard_Real theFirstParameter, const Standard_Real theLastParameter, const Standard_Real theAngularDeflection, const Standard_Real theCurvatureDeflection, const Standard_Integer theMinimumOfPoints=2, const Standard_Real theUTol=1.0e-9, const Standard_Real theMinLen=1.0e-7)
	Constructor for 3D curve with restricted range.
	GCPnts_TangentialDeflection (const Adaptor2d_Curve2d &theC, const Standard_Real theAngularDeflection, const Standard_Real theCurvatureDeflection, const Standard_Integer theMinimumOfPoints=2, const Standard_Real theUTol=1.0e-9, const Standard_Real theMinLen=1.0e-7)
	Constructor for 2D curve.
	GCPnts_TangentialDeflection (const Adaptor2d_Curve2d &theC, const Standard_Real theFirstParameter, const Standard_Real theLastParameter, const Standard_Real theAngularDeflection, const Standard_Real theCurvatureDeflection, const Standard_Integer theMinimumOfPoints=2, const Standard_Real theUTol=1.0e-9, const Standard_Real theMinLen=1.0e-7)
	Constructor for 2D curve with restricted range.
void	Initialize (const Adaptor3d_Curve &theC, const Standard_Real theAngularDeflection, const Standard_Real theCurvatureDeflection, const Standard_Integer theMinimumOfPoints=2, const Standard_Real theUTol=1.0e-9, const Standard_Real theMinLen=1.0e-7)
	Initialize algorithm for 3D curve.
void	Initialize (const Adaptor3d_Curve &theC, const Standard_Real theFirstParameter, const Standard_Real theLastParameter, const Standard_Real theAngularDeflection, const Standard_Real theCurvatureDeflection, const Standard_Integer theMinimumOfPoints=2, const Standard_Real theUTol=1.0e-9, const Standard_Real theMinLen=1.0e-7)
	Initialize algorithm for 3D curve with restricted range.
void	Initialize (const Adaptor2d_Curve2d &theC, const Standard_Real theAngularDeflection, const Standard_Real theCurvatureDeflection, const Standard_Integer theMinimumOfPoints=2, const Standard_Real theUTol=1.0e-9, const Standard_Real theMinLen=1.0e-7)
	Initialize algorithm for 2D curve.
void	Initialize (const Adaptor2d_Curve2d &theC, const Standard_Real theFirstParameter, const Standard_Real theLastParameter, const Standard_Real theAngularDeflection, const Standard_Real theCurvatureDeflection, const Standard_Integer theMinimumOfPoints=2, const Standard_Real theUTol=1.0e-9, const Standard_Real theMinLen=1.0e-7)
	Initialize algorithm for 2D curve with restricted range.
Standard_Integer	AddPoint (const gp_Pnt &thePnt, const Standard_Real theParam, const Standard_Boolean theIsReplace=Standard_True)
	Add point to already calculated points (or replace existing) Returns index of new added point or founded with parametric tolerance (replaced if theIsReplace is true).
Standard_Integer	NbPoints () const
Standard_Real	Parameter (const Standard_Integer I) const
gp_Pnt	Value (const Standard_Integer I) const

Static Public Member Functions
static Standard_Real	ArcAngularStep (const Standard_Real theRadius, const Standard_Real theLinearDeflection, const Standard_Real theAngularDeflection, const Standard_Real theMinLength)
	Computes angular step for the arc using the given parameters.

Detailed Description

Computes a set of points on a curve from package Adaptor3d such as between two successive points P1(u1)and P2(u2) :

. ||P1P3^P3P2||/||P1P3||*||P3P2||<AngularDeflection
. ||P1P2^P1P3||/||P1P2||<CurvatureDeflection

where P3 is the point of abscissa ((u1+u2)/2), with u1 the abscissa of the point P1 and u2 the abscissa of the point P2.

^ is the cross product of two vectors, and ||P1P2|| the magnitude of the vector P1P2.

The conditions AngularDeflection > gp::Resolution() and CurvatureDeflection > gp::Resolution() must be satisfied at the construction time.

A minimum number of points can be fixed for a linear or circular element. Example:

Handle(Geom_BezierCurve) aCurve = new Geom_BezierCurve (thePoles);
GeomAdaptor_Curve aCurveAdaptor (aCurve);
double aCDeflect  = 0.01; // Curvature deflection
double anADeflect = 0.09; // Angular   deflection
 
GCPnts_TangentialDeflection aPointsOnCurve;
aPointsOnCurve.Initialize (aCurveAdaptor, anADeflect, aCDeflect);
for (int i = 1; i <= aPointsOnCurve.NbPoints(); ++i)
{
  double aU   = aPointsOnCurve.Parameter (i);
  gp_Pnt aPnt = aPointsOnCurve.Value (i);
}

Constructor & Destructor Documentation

GCPnts_TangentialDeflection() [1/5]

GCPnts_TangentialDeflection::GCPnts_TangentialDeflection

(

)

Empty constructor.

See also

Initialize()

GCPnts_TangentialDeflection() [2/5]

GCPnts_TangentialDeflection::GCPnts_TangentialDeflection	(	const Adaptor3d_Curve &	theC,
		const Standard_Real	theAngularDeflection,
		const Standard_Real	theCurvatureDeflection,
		const Standard_Integer	theMinimumOfPoints = 2,
		const Standard_Real	theUTol = 1.0e-9,
		const Standard_Real	theMinLen = 1.0e-7 )

Constructor for 3D curve.

Parameters

[in]	theC	3d curve
[in]	theAngularDeflection	angular deflection in radians
[in]	theCurvatureDeflection	linear deflection
[in]	theMinimumOfPoints	minimum number of points
[in]	theUTol	tolerance in curve parametric scope
[in]	theMinLen	minimal length

GCPnts_TangentialDeflection() [3/5]

GCPnts_TangentialDeflection::GCPnts_TangentialDeflection	(	const Adaptor3d_Curve &	theC,
		const Standard_Real	theFirstParameter,
		const Standard_Real	theLastParameter,
		const Standard_Real	theAngularDeflection,
		const Standard_Real	theCurvatureDeflection,
		const Standard_Integer	theMinimumOfPoints = 2,
		const Standard_Real	theUTol = 1.0e-9,
		const Standard_Real	theMinLen = 1.0e-7 )

Constructor for 3D curve with restricted range.

Parameters

[in]	theC	3d curve
[in]	theFirstParameter	first parameter on curve
[in]	theLastParameter	last parameter on curve
[in]	theAngularDeflection	angular deflection in radians
[in]	theCurvatureDeflection	linear deflection
[in]	theMinimumOfPoints	minimum number of points
	theUTo	l[in] tolerance in curve parametric scope
[in]	theMinLen	minimal length

GCPnts_TangentialDeflection() [4/5]

GCPnts_TangentialDeflection::GCPnts_TangentialDeflection	(	const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theAngularDeflection,
		const Standard_Real	theCurvatureDeflection,
		const Standard_Integer	theMinimumOfPoints = 2,
		const Standard_Real	theUTol = 1.0e-9,
		const Standard_Real	theMinLen = 1.0e-7 )

Constructor for 2D curve.

Parameters

[in]	theC	2d curve
[in]	theAngularDeflection	angular deflection in radians
[in]	theCurvatureDeflection	linear deflection
[in]	theMinimumOfPoints	minimum number of points
[in]	theUTol	tolerance in curve parametric scope
[in]	theMinLen	minimal length

GCPnts_TangentialDeflection() [5/5]

GCPnts_TangentialDeflection::GCPnts_TangentialDeflection	(	const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theFirstParameter,
		const Standard_Real	theLastParameter,
		const Standard_Real	theAngularDeflection,
		const Standard_Real	theCurvatureDeflection,
		const Standard_Integer	theMinimumOfPoints = 2,
		const Standard_Real	theUTol = 1.0e-9,
		const Standard_Real	theMinLen = 1.0e-7 )

Constructor for 2D curve with restricted range.

Parameters

[in]	theC	2d curve
[in]	theFirstParameter	first parameter on curve
[in]	theLastParameter	last parameter on curve
[in]	theAngularDeflection	angular deflection in radians
[in]	theCurvatureDeflection	linear deflection
[in]	theMinimumOfPoints	minimum number of points
[in]	theUTol	tolerance in curve parametric scope
[in]	theMinLen	minimal length

Member Function Documentation

AddPoint()

Standard_Integer GCPnts_TangentialDeflection::AddPoint	(	const gp_Pnt &	thePnt,
		const Standard_Real	theParam,
		const Standard_Boolean	theIsReplace = Standard_True )

Add point to already calculated points (or replace existing) Returns index of new added point or founded with parametric tolerance (replaced if theIsReplace is true).

ArcAngularStep()

Standard_Real GCPnts_TangentialDeflection::ArcAngularStep ( const Standard_Real theRadius, const Standard_Real theLinearDeflection, const Standard_Real theAngularDeflection, const Standard_Real theMinLength )

static

Computes angular step for the arc using the given parameters.

Initialize() [1/4]

void GCPnts_TangentialDeflection::Initialize	(	const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theAngularDeflection,
		const Standard_Real	theCurvatureDeflection,
		const Standard_Integer	theMinimumOfPoints = 2,
		const Standard_Real	theUTol = 1.0e-9,
		const Standard_Real	theMinLen = 1.0e-7 )

Initialize algorithm for 2D curve.

Parameters

[in]	theC	2d curve
[in]	theAngularDeflection	angular deflection in radians
[in]	theCurvatureDeflection	linear deflection
[in]	theMinimumOfPoints	minimum number of points
[in]	theUTol	tolerance in curve parametric scope
[in]	theMinLen	minimal length

Initialize() [2/4]

void GCPnts_TangentialDeflection::Initialize	(	const Adaptor2d_Curve2d &	theC,
		const Standard_Real	theFirstParameter,
		const Standard_Real	theLastParameter,
		const Standard_Real	theAngularDeflection,
		const Standard_Real	theCurvatureDeflection,
		const Standard_Integer	theMinimumOfPoints = 2,
		const Standard_Real	theUTol = 1.0e-9,
		const Standard_Real	theMinLen = 1.0e-7 )

Initialize algorithm for 2D curve with restricted range.

Parameters

[in]	theC	2d curve
[in]	theFirstParameter	first parameter on curve
[in]	theLastParameter	last parameter on curve
[in]	theAngularDeflection	angular deflection in radians
[in]	theCurvatureDeflection	linear deflection
[in]	theMinimumOfPoints	minimum number of points
[in]	theUTol	tolerance in curve parametric scope
[in]	theMinLen	minimal length

Initialize() [3/4]

void GCPnts_TangentialDeflection::Initialize	(	const Adaptor3d_Curve &	theC,
		const Standard_Real	theAngularDeflection,
		const Standard_Real	theCurvatureDeflection,
		const Standard_Integer	theMinimumOfPoints = 2,
		const Standard_Real	theUTol = 1.0e-9,
		const Standard_Real	theMinLen = 1.0e-7 )

Initialize algorithm for 3D curve.

Parameters

[in]	theC	3d curve
[in]	theAngularDeflection	angular deflection in radians
[in]	theCurvatureDeflection	linear deflection
[in]	theMinimumOfPoints	minimum number of points
[in]	theUTol	tolerance in curve parametric scope
[in]	theMinLen	minimal length

Initialize() [4/4]

void GCPnts_TangentialDeflection::Initialize	(	const Adaptor3d_Curve &	theC,
		const Standard_Real	theFirstParameter,
		const Standard_Real	theLastParameter,
		const Standard_Real	theAngularDeflection,
		const Standard_Real	theCurvatureDeflection,
		const Standard_Integer	theMinimumOfPoints = 2,
		const Standard_Real	theUTol = 1.0e-9,
		const Standard_Real	theMinLen = 1.0e-7 )

Initialize algorithm for 3D curve with restricted range.

Parameters

[in]	theC	3d curve
[in]	theFirstParameter	first parameter on curve
[in]	theLastParameter	last parameter on curve
[in]	theAngularDeflection	angular deflection in radians
[in]	theCurvatureDeflection	linear deflection
[in]	theMinimumOfPoints	minimum number of points
[in]	theUTol	tolerance in curve parametric scope
[in]	theMinLen	minimal length

NbPoints()

Standard_Integer GCPnts_TangentialDeflection::NbPoints ( ) const

inline

Parameter()

Standard_Real GCPnts_TangentialDeflection::Parameter ( const Standard_Integer I ) const

inline

Value()

gp_Pnt GCPnts_TangentialDeflection::Value ( const Standard_Integer I ) const

inline

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

• GCPnts_TangentialDeflection.hxx