Computes the global properties of a geometric solid (3D closed region of space) delimited with : . a surface . a point and a surface . a plane and a surface. More...

#include <BRepGProp_Vinert.hxx>

Inheritance diagram for BRepGProp_Vinert:

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Public Member Functions
	BRepGProp_Vinert ()

	BRepGProp_Vinert (const BRepGProp_Face &S, const gp_Pnt &VLocation)
	Computes the global properties of a region of 3D space delimited with the surface and the point VLocation. S can be closed The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

	BRepGProp_Vinert (BRepGProp_Face &S, const gp_Pnt &VLocation, const double Eps)
	Computes the global properties of a region of 3D space delimited with the surface and the point VLocation. S can be closed Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration.

	BRepGProp_Vinert (const BRepGProp_Face &S, const gp_Pnt &O, const gp_Pnt &VLocation)
	Computes the global properties of the region of 3D space delimited with the surface and the point VLocation. The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

	BRepGProp_Vinert (BRepGProp_Face &S, const gp_Pnt &O, const gp_Pnt &VLocation, const double Eps)
	Computes the global properties of the region of 3D space delimited with the surface and the point VLocation. Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration. WARNING: if Eps > 0.001 algorithm performs non-adaptive integration.

	BRepGProp_Vinert (const BRepGProp_Face &S, const gp_Pln &Pl, const gp_Pnt &VLocation)
	Computes the global properties of the region of 3D space delimited with the surface and the plane Pln. The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

	BRepGProp_Vinert (BRepGProp_Face &S, const gp_Pln &Pl, const gp_Pnt &VLocation, const double Eps)
	Computes the global properties of the region of 3D space delimited with the surface and the plane Pln. Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration. WARNING: if Eps > 0.001 algorithm performs non-adaptive integration.

	BRepGProp_Vinert (BRepGProp_Face &S, BRepGProp_Domain &D, const gp_Pnt &VLocation)
	Computes the global properties of a region of 3D space delimited with the surface and the point VLocation. S can be closed The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

	BRepGProp_Vinert (BRepGProp_Face &S, BRepGProp_Domain &D, const gp_Pnt &VLocation, const double Eps)
	Computes the global properties of a region of 3D space delimited with the surface and the point VLocation. S can be closed Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration.

	BRepGProp_Vinert (BRepGProp_Face &S, BRepGProp_Domain &D, const gp_Pnt &O, const gp_Pnt &VLocation)
	Computes the global properties of the region of 3D space delimited with the surface and the point VLocation. The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

	BRepGProp_Vinert (BRepGProp_Face &S, BRepGProp_Domain &D, const gp_Pnt &O, const gp_Pnt &VLocation, const double Eps)
	Computes the global properties of the region of 3D space delimited with the surface and the point VLocation. Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration. WARNING: if Eps > 0.001 algorithm performs non-adaptive integration.

	BRepGProp_Vinert (BRepGProp_Face &S, BRepGProp_Domain &D, const gp_Pln &Pl, const gp_Pnt &VLocation)
	Computes the global properties of the region of 3D space delimited with the surface and the plane Pln. The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

	BRepGProp_Vinert (BRepGProp_Face &S, BRepGProp_Domain &D, const gp_Pln &Pl, const gp_Pnt &VLocation, const double Eps)
	Computes the global properties of the region of 3D space delimited with the surface and the plane Pln. Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration. WARNING: if Eps > 0.001 algorithm performs non-adaptive integration.

void	SetLocation (const gp_Pnt &VLocation)

void	Perform (const BRepGProp_Face &S)

double	Perform (BRepGProp_Face &S, const double Eps)

void	Perform (const BRepGProp_Face &S, const gp_Pnt &O)

double	Perform (BRepGProp_Face &S, const gp_Pnt &O, const double Eps)

void	Perform (const BRepGProp_Face &S, const gp_Pln &Pl)

double	Perform (BRepGProp_Face &S, const gp_Pln &Pl, const double Eps)

void	Perform (BRepGProp_Face &S, BRepGProp_Domain &D)

double	Perform (BRepGProp_Face &S, BRepGProp_Domain &D, const double Eps)

void	Perform (BRepGProp_Face &S, BRepGProp_Domain &D, const gp_Pnt &O)

double	Perform (BRepGProp_Face &S, BRepGProp_Domain &D, const gp_Pnt &O, const double Eps)

void	Perform (BRepGProp_Face &S, BRepGProp_Domain &D, const gp_Pln &Pl)

double	Perform (BRepGProp_Face &S, BRepGProp_Domain &D, const gp_Pln &Pl, const double Eps)

double	GetEpsilon ()
	If previously used methods contain Eps parameter gets actual relative error of the computation, else returns 1.0.

Public Member Functions inherited from GProp_GProps
	GProp_GProps ()
	The origin (0, 0, 0) of the absolute Cartesian coordinate system is used to compute the global properties.

	GProp_GProps (const gp_Pnt &SystemLocation)
	The point SystemLocation is used to compute the global properties of the system. For greater accuracy, define this point close to the location of the system; for example a point near the centre of mass of the system.

void	Add (const GProp_GProps &Item, const double Density=1.0)
	Either:

double	Mass () const
	Returns the mass of the current system.

gp_Pnt	CentreOfMass () const
	Returns the centre of mass of the current system. With a uniform gravitational field this is also the centre of gravity. The coordinates returned for the centre of mass are expressed in the absolute Cartesian coordinate system.

gp_Mat	MatrixOfInertia () const
	Returns the matrix of inertia. It is a symmetric matrix whose coefficients are the quadratic moments of inertia:

void	StaticMoments (double &Ix, double &Iy, double &Iz) const
	Returns the static moments of inertia of the current system - i.e. the moments of inertia about the three axes of the absolute Cartesian coordinate system.

double	MomentOfInertia (const gp_Ax1 &A) const
	Computes the moment of inertia of the system about the axis A.

GProp_PrincipalProps	PrincipalProperties () const
	Computes the principal properties of inertia of the current system. There is always a set of axes for which the products of inertia of a geometric system are equal to 0 - i.e. the matrix of inertia of the system is diagonal. These axes are the principal axes of inertia; their origin coincides with the centre of mass of the system. The associated moments are called the principal moments of inertia.

double	RadiusOfGyration (const gp_Ax1 &A) const
	Returns the radius of gyration of the current system about the axis A.

Additional Inherited Members
Protected Attributes inherited from GProp_GProps
gp_Pnt	g
	Centre of mass (absolute frame)

gp_Pnt	loc
	Reference point used for inertia accumulation.

double	dim
	Total mass / length / area / volume.

gp_Mat	inertia
	Quadratic moments of inertia matrix.

Detailed Description

Computes the global properties of a geometric solid (3D closed region of space) delimited with : . a surface . a point and a surface . a plane and a surface.

The surface can be : . a surface limited with its parametric values U-V, . a surface limited in U-V space with its curves of restriction,

The surface 's requirements to evaluate the global properties are defined in the template SurfaceTool from package GProp.

Constructor & Destructor Documentation

◆ BRepGProp_Vinert() [1/13]

BRepGProp_Vinert::BRepGProp_Vinert ( )

◆ BRepGProp_Vinert() [2/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	const BRepGProp_Face &	S,
		const gp_Pnt &	VLocation )

Computes the global properties of a region of 3D space delimited with the surface and the point VLocation. S can be closed The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

◆ BRepGProp_Vinert() [3/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	BRepGProp_Face &	S,
		const gp_Pnt &	VLocation,
		const double	Eps )

Computes the global properties of a region of 3D space delimited with the surface and the point VLocation. S can be closed Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration.

◆ BRepGProp_Vinert() [4/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	const BRepGProp_Face &	S,
		const gp_Pnt &	O,
		const gp_Pnt &	VLocation )

Computes the global properties of the region of 3D space delimited with the surface and the point VLocation. The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

◆ BRepGProp_Vinert() [5/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	BRepGProp_Face &	S,
		const gp_Pnt &	O,
		const gp_Pnt &	VLocation,
		const double	Eps )

Computes the global properties of the region of 3D space delimited with the surface and the point VLocation. Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration. WARNING: if Eps > 0.001 algorithm performs non-adaptive integration.

◆ BRepGProp_Vinert() [6/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	const BRepGProp_Face &	S,
		const gp_Pln &	Pl,
		const gp_Pnt &	VLocation )

Computes the global properties of the region of 3D space delimited with the surface and the plane Pln. The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

◆ BRepGProp_Vinert() [7/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	BRepGProp_Face &	S,
		const gp_Pln &	Pl,
		const gp_Pnt &	VLocation,
		const double	Eps )

Computes the global properties of the region of 3D space delimited with the surface and the plane Pln. Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration. WARNING: if Eps > 0.001 algorithm performs non-adaptive integration.

◆ BRepGProp_Vinert() [8/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const gp_Pnt &	VLocation )

Computes the global properties of a region of 3D space delimited with the surface and the point VLocation. S can be closed The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

◆ BRepGProp_Vinert() [9/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const gp_Pnt &	VLocation,
		const double	Eps )

Computes the global properties of a region of 3D space delimited with the surface and the point VLocation. S can be closed Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration.

◆ BRepGProp_Vinert() [10/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const gp_Pnt &	O,
		const gp_Pnt &	VLocation )

Computes the global properties of the region of 3D space delimited with the surface and the point VLocation. The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

◆ BRepGProp_Vinert() [11/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const gp_Pnt &	O,
		const gp_Pnt &	VLocation,
		const double	Eps )

Computes the global properties of the region of 3D space delimited with the surface and the point VLocation. Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration. WARNING: if Eps > 0.001 algorithm performs non-adaptive integration.

◆ BRepGProp_Vinert() [12/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const gp_Pln &	Pl,
		const gp_Pnt &	VLocation )

Computes the global properties of the region of 3D space delimited with the surface and the plane Pln. The method is quick and its precision is enough for many cases of analytical surfaces. Non-adaptive 2D Gauss integration with predefined numbers of Gauss points is used. Numbers of points depend on types of surfaces and curves. Error of the computation is not calculated.

◆ BRepGProp_Vinert() [13/13]

BRepGProp_Vinert::BRepGProp_Vinert	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const gp_Pln &	Pl,
		const gp_Pnt &	VLocation,
		const double	Eps )

Computes the global properties of the region of 3D space delimited with the surface and the plane Pln. Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for face. Error is calculated as std::abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration. WARNING: if Eps > 0.001 algorithm performs non-adaptive integration.

Member Function Documentation

◆ GetEpsilon()

double BRepGProp_Vinert::GetEpsilon ( )

If previously used methods contain Eps parameter gets actual relative error of the computation, else returns 1.0.

◆ Perform() [1/12]

void BRepGProp_Vinert::Perform	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D )

◆ Perform() [2/12]

double BRepGProp_Vinert::Perform	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const double	Eps )

◆ Perform() [3/12]

void BRepGProp_Vinert::Perform	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const gp_Pln &	Pl )

◆ Perform() [4/12]

double BRepGProp_Vinert::Perform	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const gp_Pln &	Pl,
		const double	Eps )

◆ Perform() [5/12]

void BRepGProp_Vinert::Perform	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const gp_Pnt &	O )

◆ Perform() [6/12]

double BRepGProp_Vinert::Perform	(	BRepGProp_Face &	S,
		BRepGProp_Domain &	D,
		const gp_Pnt &	O,
		const double	Eps )

◆ Perform() [7/12]

double BRepGProp_Vinert::Perform	(	BRepGProp_Face &	S,
		const double	Eps )

◆ Perform() [8/12]

double BRepGProp_Vinert::Perform	(	BRepGProp_Face &	S,
		const gp_Pln &	Pl,
		const double	Eps )

◆ Perform() [9/12]

double BRepGProp_Vinert::Perform	(	BRepGProp_Face &	S,
		const gp_Pnt &	O,
		const double	Eps )

◆ Perform() [10/12]

void BRepGProp_Vinert::Perform ( const BRepGProp_Face & S )

◆ Perform() [11/12]

void BRepGProp_Vinert::Perform	(	const BRepGProp_Face &	S,
		const gp_Pln &	Pl )

◆ Perform() [12/12]

void BRepGProp_Vinert::Perform	(	const BRepGProp_Face &	S,
		const gp_Pnt &	O )

◆ SetLocation()

void BRepGProp_Vinert::SetLocation ( const gp_Pnt & VLocation )

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

BRepGProp_Vinert.hxx

Public Member Functions

Additional Inherited Members