Open CASCADE Technology  7.7.0.dev
Public Member Functions | Static Public Member Functions

GProp_PGProps Class Reference

A framework for computing the global properties of a set of points. A point mass is attached to each point. The global mass of the system is the sum of each individual mass. By default, the point mass is equal to 1 and the mass of a system composed of N points is equal to N. Warning A framework of this sort provides functions to handle sets of points easily. But, like any GProp_GProps object, by using the Add function, it can theoretically bring together the computed global properties and those of a system more complex than a set of points . The mass of each point and the density of each component of the composed system must be coherent. Note that this coherence cannot be checked. Nonetheless, you are advised to restrict your use of a GProp_PGProps object to a set of points and to create a GProp_GProps object in order to bring together global properties of different systems. More...

#include <GProp_PGProps.hxx>

Inheritance diagram for GProp_PGProps:
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Public Member Functions

 GProp_PGProps ()
 Initializes a framework to compute global properties on a set of points. The point relative to which the inertia of the system is computed will be the origin (0, 0, 0) of the absolute Cartesian coordinate system. At initialization, the framework is empty, i.e. it retains no dimensional information such as mass and inertia. It is, however, now able to keep global properties of a set of points while new points are added using the AddPoint function. The set of points whose global properties are brought together by this framework will then be referred to as the current system. The current system is, however, not kept by this framework, which only keeps that system's global properties. Note that the current system may be more complex than a set of points. More...
 
void AddPoint (const gp_Pnt &P)
 Brings together the global properties already retained by this framework with those induced by the point Pnt. Pnt may be the first point of the current system. A point mass is attached to the point Pnt, it is either equal to 1. or to Density. More...
 
void AddPoint (const gp_Pnt &P, const Standard_Real Density)
 Adds a new point P with its density in the system of points Exceptions Standard_DomainError if the mass value Density is less than gp::Resolution(). More...
 
 GProp_PGProps (const TColgp_Array1OfPnt &Pnts)
 computes the global properties of the system of points Pnts. The density of the points are defaulted to all being 1 More...
 
 GProp_PGProps (const TColgp_Array2OfPnt &Pnts)
 computes the global properties of the system of points Pnts. The density of the points are defaulted to all being 1 More...
 
 GProp_PGProps (const TColgp_Array1OfPnt &Pnts, const TColStd_Array1OfReal &Density)
 computes the global properties of the system of points Pnts. A density is associated with each point. More...
 
 GProp_PGProps (const TColgp_Array2OfPnt &Pnts, const TColStd_Array2OfReal &Density)
 computes the global properties of the system of points Pnts. A density is associated with each point. 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 global 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...
 

Static Public Member Functions

static gp_Pnt Barycentre (const TColgp_Array1OfPnt &Pnts)
 Computes the barycentre of a set of points. The density of the points is defaulted to 1. More...
 
static gp_Pnt Barycentre (const TColgp_Array2OfPnt &Pnts)
 Computes the barycentre of a set of points. The density of the points is defaulted to 1. More...
 
static void Barycentre (const TColgp_Array1OfPnt &Pnts, const TColStd_Array1OfReal &Density, Standard_Real &Mass, gp_Pnt &G)
 Computes the barycentre of a set of points. A density is associated with each point. More...
 
static void Barycentre (const TColgp_Array2OfPnt &Pnts, const TColStd_Array2OfReal &Density, Standard_Real &Mass, gp_Pnt &G)
 Computes the barycentre of a set of points. A density is associated with each point. More...
 

Additional Inherited Members

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

Detailed Description

A framework for computing the global properties of a set of points. A point mass is attached to each point. The global mass of the system is the sum of each individual mass. By default, the point mass is equal to 1 and the mass of a system composed of N points is equal to N. Warning A framework of this sort provides functions to handle sets of points easily. But, like any GProp_GProps object, by using the Add function, it can theoretically bring together the computed global properties and those of a system more complex than a set of points . The mass of each point and the density of each component of the composed system must be coherent. Note that this coherence cannot be checked. Nonetheless, you are advised to restrict your use of a GProp_PGProps object to a set of points and to create a GProp_GProps object in order to bring together global properties of different systems.

Constructor & Destructor Documentation

◆ GProp_PGProps() [1/5]

GProp_PGProps::GProp_PGProps ( )

Initializes a framework to compute global properties on a set of points. The point relative to which the inertia of the system is computed will be the origin (0, 0, 0) of the absolute Cartesian coordinate system. At initialization, the framework is empty, i.e. it retains no dimensional information such as mass and inertia. It is, however, now able to keep global properties of a set of points while new points are added using the AddPoint function. The set of points whose global properties are brought together by this framework will then be referred to as the current system. The current system is, however, not kept by this framework, which only keeps that system's global properties. Note that the current system may be more complex than a set of points.

◆ GProp_PGProps() [2/5]

GProp_PGProps::GProp_PGProps ( const TColgp_Array1OfPnt Pnts)

computes the global properties of the system of points Pnts. The density of the points are defaulted to all being 1

◆ GProp_PGProps() [3/5]

GProp_PGProps::GProp_PGProps ( const TColgp_Array2OfPnt Pnts)

computes the global properties of the system of points Pnts. The density of the points are defaulted to all being 1

◆ GProp_PGProps() [4/5]

GProp_PGProps::GProp_PGProps ( const TColgp_Array1OfPnt Pnts,
const TColStd_Array1OfReal Density 
)

computes the global properties of the system of points Pnts. A density is associated with each point.

raises if a density is lower or equal to Resolution from package gp.

raises if the length of Pnts and the length of Density is not the same.

◆ GProp_PGProps() [5/5]

GProp_PGProps::GProp_PGProps ( const TColgp_Array2OfPnt Pnts,
const TColStd_Array2OfReal Density 
)

computes the global properties of the system of points Pnts. A density is associated with each point.

Raised if a density is lower or equal to Resolution from package gp.

Raised if the length of Pnts and the length of Density is not the same.

Member Function Documentation

◆ AddPoint() [1/2]

void GProp_PGProps::AddPoint ( const gp_Pnt P)

Brings together the global properties already retained by this framework with those induced by the point Pnt. Pnt may be the first point of the current system. A point mass is attached to the point Pnt, it is either equal to 1. or to Density.

◆ AddPoint() [2/2]

void GProp_PGProps::AddPoint ( const gp_Pnt P,
const Standard_Real  Density 
)

Adds a new point P with its density in the system of points Exceptions Standard_DomainError if the mass value Density is less than gp::Resolution().

◆ Barycentre() [1/4]

static gp_Pnt GProp_PGProps::Barycentre ( const TColgp_Array1OfPnt Pnts)
static

Computes the barycentre of a set of points. The density of the points is defaulted to 1.

◆ Barycentre() [2/4]

static void GProp_PGProps::Barycentre ( const TColgp_Array1OfPnt Pnts,
const TColStd_Array1OfReal Density,
Standard_Real Mass,
gp_Pnt G 
)
static

Computes the barycentre of a set of points. A density is associated with each point.

raises if a density is lower or equal to Resolution from package gp.

Raised if the length of Pnts and the length of Density is not the same.

◆ Barycentre() [3/4]

static gp_Pnt GProp_PGProps::Barycentre ( const TColgp_Array2OfPnt Pnts)
static

Computes the barycentre of a set of points. The density of the points is defaulted to 1.

◆ Barycentre() [4/4]

static void GProp_PGProps::Barycentre ( const TColgp_Array2OfPnt Pnts,
const TColStd_Array2OfReal Density,
Standard_Real Mass,
gp_Pnt G 
)
static

Computes the barycentre of a set of points. A density is associated with each point.

Raised if a density is lower or equal to Resolution from package gp.

Raised if the length of Pnts and the length of Density is not the same.


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