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

#include <BRepGProp_VinertGK.hxx>

Inheritance diagram for BRepGProp_VinertGK:

Public Member Functions
	BRepGProp_VinertGK ()
	Empty constructor.
	BRepGProp_VinertGK (BRepGProp_Face &theSurface, const gp_Pnt &theLocation, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Constructor. Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the point VLocation.
	BRepGProp_VinertGK (BRepGProp_Face &theSurface, const gp_Pnt &thePoint, const gp_Pnt &theLocation, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Constructor. Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the point VLocation. The inertia is computed with respect to thePoint.
	BRepGProp_VinertGK (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const gp_Pnt &theLocation, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Constructor. Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the point VLocation.
	BRepGProp_VinertGK (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const gp_Pnt &thePoint, const gp_Pnt &theLocation, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Constructor. Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the point VLocation. The inertia is computed with respect to thePoint.
	BRepGProp_VinertGK (BRepGProp_Face &theSurface, const gp_Pln &thePlane, const gp_Pnt &theLocation, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Constructor. Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the plane.
	BRepGProp_VinertGK (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const gp_Pln &thePlane, const gp_Pnt &theLocation, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Constructor. Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the plane.
void	SetLocation (const gp_Pnt &theLocation)
	Sets the vertex that delimit 3D closed region of space.
double	Perform (BRepGProp_Face &theSurface, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the point VLocation.
double	Perform (BRepGProp_Face &theSurface, const gp_Pnt &thePoint, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the point VLocation. The inertia is computed with respect to thePoint.
double	Perform (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the point VLocation.
double	Perform (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const gp_Pnt &thePoint, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the point VLocation. The inertia is computed with respect to thePoint.
double	Perform (BRepGProp_Face &theSurface, const gp_Pln &thePlane, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the plane.
double	Perform (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const gp_Pln &thePlane, const double theTolerance=0.001, const bool theCGFlag=false, const bool theIFlag=false)
	Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the plane.
double	GetErrorReached () const
	Returns the relative reached computation error.
double	GetAbsolutError () const
	Returns the absolut reached computation error.
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 point and a surface
a plane and a surface

The surface can be :

a surface limited with its parametric values U-V, (naturally restricted)
a surface limited in U-V space with its boundary curves.

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

The adaptive 2D algorithm of Gauss-Kronrod integration of double integral is used.

The inner integral is computed along U parameter of surface. The integrand function is encapsulated in the support class UFunction that is defined below.

The outer integral is computed along T parameter of a bounding curve. The integrand function is encapsulated in the support class TFunction that is defined below.

Constructor & Destructor Documentation

◆ BRepGProp_VinertGK() [1/7]

BRepGProp_VinertGK::BRepGProp_VinertGK ( )

inline

Empty constructor.

◆ BRepGProp_VinertGK() [2/7]

BRepGProp_VinertGK::BRepGProp_VinertGK	(	BRepGProp_Face &	theSurface,
		const gp_Pnt &	theLocation,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Constructor. Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the point VLocation.

◆ BRepGProp_VinertGK() [3/7]

BRepGProp_VinertGK::BRepGProp_VinertGK	(	BRepGProp_Face &	theSurface,
		const gp_Pnt &	thePoint,
		const gp_Pnt &	theLocation,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Constructor. Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the point VLocation. The inertia is computed with respect to thePoint.

◆ BRepGProp_VinertGK() [4/7]

BRepGProp_VinertGK::BRepGProp_VinertGK	(	BRepGProp_Face &	theSurface,
		BRepGProp_Domain &	theDomain,
		const gp_Pnt &	theLocation,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Constructor. Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the point VLocation.

◆ BRepGProp_VinertGK() [5/7]

BRepGProp_VinertGK::BRepGProp_VinertGK	(	BRepGProp_Face &	theSurface,
		BRepGProp_Domain &	theDomain,
		const gp_Pnt &	thePoint,
		const gp_Pnt &	theLocation,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Constructor. Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the point VLocation. The inertia is computed with respect to thePoint.

◆ BRepGProp_VinertGK() [6/7]

BRepGProp_VinertGK::BRepGProp_VinertGK	(	BRepGProp_Face &	theSurface,
		const gp_Pln &	thePlane,
		const gp_Pnt &	theLocation,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Constructor. Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the plane.

◆ BRepGProp_VinertGK() [7/7]

BRepGProp_VinertGK::BRepGProp_VinertGK	(	BRepGProp_Face &	theSurface,
		BRepGProp_Domain &	theDomain,
		const gp_Pln &	thePlane,
		const gp_Pnt &	theLocation,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Constructor. Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the plane.

Member Function Documentation

◆ GetAbsolutError()

double BRepGProp_VinertGK::GetAbsolutError ( ) const

Returns the absolut reached computation error.

◆ GetErrorReached()

double BRepGProp_VinertGK::GetErrorReached ( ) const

inline

Returns the relative reached computation error.

◆ Perform() [1/6]

double BRepGProp_VinertGK::Perform	(	BRepGProp_Face &	theSurface,
		BRepGProp_Domain &	theDomain,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the point VLocation.

◆ Perform() [2/6]

double BRepGProp_VinertGK::Perform	(	BRepGProp_Face &	theSurface,
		BRepGProp_Domain &	theDomain,
		const gp_Pln &	thePlane,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the plane.

◆ Perform() [3/6]

double BRepGProp_VinertGK::Perform	(	BRepGProp_Face &	theSurface,
		BRepGProp_Domain &	theDomain,
		const gp_Pnt &	thePoint,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the point VLocation. The inertia is computed with respect to thePoint.

◆ Perform() [4/6]

double BRepGProp_VinertGK::Perform	(	BRepGProp_Face &	theSurface,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the point VLocation.

◆ Perform() [5/6]

double BRepGProp_VinertGK::Perform	(	BRepGProp_Face &	theSurface,
		const gp_Pln &	thePlane,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the plane.

◆ Perform() [6/6]

double BRepGProp_VinertGK::Perform	(	BRepGProp_Face &	theSurface,
		const gp_Pnt &	thePoint,
		const double	theTolerance = 0.001,
		const bool	theCGFlag = false,
		const bool	theIFlag = false )

Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the point VLocation. The inertia is computed with respect to thePoint.

◆ SetLocation()

void BRepGProp_VinertGK::SetLocation ( const gp_Pnt & theLocation )

inline

Sets the vertex that delimit 3D closed region of space.

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

BRepGProp_VinertGK.hxx

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ BRepGProp_VinertGK() [1/7]

◆ BRepGProp_VinertGK() [2/7]

◆ BRepGProp_VinertGK() [3/7]

◆ BRepGProp_VinertGK() [4/7]

◆ BRepGProp_VinertGK() [5/7]

◆ BRepGProp_VinertGK() [6/7]

◆ BRepGProp_VinertGK() [7/7]

Member Function Documentation

◆ GetAbsolutError()

◆ GetErrorReached()

◆ Perform() [1/6]

◆ Perform() [2/6]

◆ Perform() [3/6]

◆ Perform() [4/6]

◆ Perform() [5/6]

◆ Perform() [6/6]

◆ SetLocation()