Open CASCADE Technology  6.9.0
Public Member Functions
BRepGProp_VinertGK Class Reference

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:
Inheritance graph
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Public Member Functions

 BRepGProp_VinertGK ()
 Empty constructor. More...
 
 BRepGProp_VinertGK (BRepGProp_Face &theSurface, const gp_Pnt &theLocation, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_False)
 Constructor. Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the point VLocation. More...
 
 BRepGProp_VinertGK (BRepGProp_Face &theSurface, const gp_Pnt &thePoint, const gp_Pnt &theLocation, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_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. More...
 
 BRepGProp_VinertGK (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const gp_Pnt &theLocation, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_False)
 Constructor. Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the point VLocation. More...
 
 BRepGProp_VinertGK (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const gp_Pnt &thePoint, const gp_Pnt &theLocation, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_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. More...
 
 BRepGProp_VinertGK (BRepGProp_Face &theSurface, const gp_Pln &thePlane, const gp_Pnt &theLocation, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_False)
 Constructor. Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the plane. More...
 
 BRepGProp_VinertGK (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const gp_Pln &thePlane, const gp_Pnt &theLocation, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_False)
 Constructor. Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the plane. More...
 
void SetLocation (const gp_Pnt &theLocation)
 Sets the vertex that delimit 3D closed region of space. More...
 
Standard_Real Perform (BRepGProp_Face &theSurface, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_False)
 Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the point VLocation. More...
 
Standard_Real Perform (BRepGProp_Face &theSurface, const gp_Pnt &thePoint, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_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. More...
 
Standard_Real Perform (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_False)
 Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the point VLocation. More...
 
Standard_Real Perform (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const gp_Pnt &thePoint, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_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. More...
 
Standard_Real Perform (BRepGProp_Face &theSurface, const gp_Pln &thePlane, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_False)
 Computes the global properties of a region of 3D space delimited with the naturally restricted surface and the plane. More...
 
Standard_Real Perform (BRepGProp_Face &theSurface, BRepGProp_Domain &theDomain, const gp_Pln &thePlane, const Standard_Real theTolerance=0.001, const Standard_Boolean theCGFlag=Standard_False, const Standard_Boolean theIFlag=Standard_False)
 Computes the global properties of a region of 3D space delimited with the surface bounded by the domain and the plane. More...
 
Standard_Real GetErrorReached () const
 Returns the relative reached computation error. More...
 
Standard_Real GetAbsolutError () const
 Returns the absolut reached computation error. More...
 
- 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. More...
 
 GProp_GProps (const gp_Pnt &SystemLocation)
 The point SystemLocation is used to compute the gobal properties of the system. For more accuracy it is better to define this point closed to the location of the system. For example it could be a point around the centre of mass of the system. This point is referred to as the reference point for this framework. For greater accuracy it is better for the reference point to be close to the location of the system. It can, for example, be a point near the center of mass of the system. At initialization, the framework is empty; i.e. it retains no dimensional information such as mass, or inertia. However, it is now able to bring together global properties of various other systems, whose global properties have already been computed using another framework. To do this, use the function Add to define the components of the system. Use it once per component of the system, and then use the interrogation functions available to access the computed values. More...
 
void Add (const GProp_GProps &Item, const Standard_Real Density=1.0)
 Either. More...
 
Standard_Real Mass () const
 Returns the mass of the current system. If no density is attached to the components of the current system the returned value corresponds to : More...
 
gp_Pnt CentreOfMass () const
 Returns the center of mass of the current system. If the gravitational field is uniform, it is the center of gravity. The coordinates returned for the center of mass are expressed in the absolute Cartesian coordinate system. More...
 
gp_Mat MatrixOfInertia () const
 returns the matrix of inertia. It is a symmetrical matrix. The coefficients of the matrix are the quadratic moments of inertia. More...
 
void StaticMoments (Standard_Real &Ix, Standard_Real &Iy, Standard_Real &Iz) const
 Returns Ix, Iy, Iz, the static moments of inertia of the current system; i.e. the moments of inertia about the three axes of the Cartesian coordinate system. More...
 
Standard_Real MomentOfInertia (const gp_Ax1 &A) const
 computes the moment of inertia of the material system about the axis A. More...
 
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 is coincident with the center of mass of the system. The associated moments are called the principal moments of inertia. This function computes the eigen values and the eigen vectors of the matrix of inertia of the system. Results are stored by using a presentation framework of principal properties of inertia (GProp_PrincipalProps object) which may be queried to access the value sought. More...
 
Standard_Real RadiusOfGyration (const gp_Ax1 &A) const
 Returns the radius of gyration of the current system about the axis A. More...
 

Additional Inherited Members

- Protected Attributes inherited from GProp_GProps
gp_Pnt g
 
gp_Pnt loc
 
Standard_Real dim
 
gp_Mat inertia
 

Detailed Description

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

The surface can be :

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::BRepGProp_VinertGK ( )

Empty constructor.

BRepGProp_VinertGK::BRepGProp_VinertGK ( BRepGProp_Face theSurface,
const gp_Pnt theLocation,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_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_VinertGK ( BRepGProp_Face theSurface,
const gp_Pnt thePoint,
const gp_Pnt theLocation,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_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_VinertGK ( BRepGProp_Face theSurface,
BRepGProp_Domain theDomain,
const gp_Pnt theLocation,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_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_VinertGK ( BRepGProp_Face theSurface,
BRepGProp_Domain theDomain,
const gp_Pnt thePoint,
const gp_Pnt theLocation,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_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_VinertGK ( BRepGProp_Face theSurface,
const gp_Pln thePlane,
const gp_Pnt theLocation,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_False 
)

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

BRepGProp_VinertGK::BRepGProp_VinertGK ( BRepGProp_Face theSurface,
BRepGProp_Domain theDomain,
const gp_Pln thePlane,
const gp_Pnt theLocation,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_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

Standard_Real BRepGProp_VinertGK::GetAbsolutError ( ) const

Returns the absolut reached computation error.

Standard_Real BRepGProp_VinertGK::GetErrorReached ( ) const

Returns the relative reached computation error.

Standard_Real BRepGProp_VinertGK::Perform ( BRepGProp_Face theSurface,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_False 
)

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

Standard_Real BRepGProp_VinertGK::Perform ( BRepGProp_Face theSurface,
const gp_Pnt thePoint,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_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.

Standard_Real BRepGProp_VinertGK::Perform ( BRepGProp_Face theSurface,
BRepGProp_Domain theDomain,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_False 
)

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

Standard_Real BRepGProp_VinertGK::Perform ( BRepGProp_Face theSurface,
BRepGProp_Domain theDomain,
const gp_Pnt thePoint,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_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.

Standard_Real BRepGProp_VinertGK::Perform ( BRepGProp_Face theSurface,
const gp_Pln thePlane,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_False 
)

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

Standard_Real BRepGProp_VinertGK::Perform ( BRepGProp_Face theSurface,
BRepGProp_Domain theDomain,
const gp_Pln thePlane,
const Standard_Real  theTolerance = 0.001,
const Standard_Boolean  theCGFlag = Standard_False,
const Standard_Boolean  theIFlag = Standard_False 
)

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

void BRepGProp_VinertGK::SetLocation ( const gp_Pnt theLocation)

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


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