Provides global functions to compute a shape's global properties for lines, surfaces or volumes, and bring them together with the global properties already computed for a geometric system. The global properties computed for a system are :
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| static void | LinearProperties (const TopoDS_Shape &S, GProp_GProps &LProps, const Standard_Boolean SkipShared=Standard_False, const Standard_Boolean UseTriangulation=Standard_False) |
| | Computes the linear global properties of the shape S, i.e. the global properties induced by each edge of the shape S, and brings them together with the global properties still retained by the framework LProps. If the current system of LProps was empty, its global properties become equal to the linear global properties of S. For this computation no linear density is attached to the edges. So, for example, the added mass corresponds to the sum of the lengths of the edges of S. The density of the composed systems, i.e. that of each component of the current system of LProps, and that of S which is considered to be equal to 1, must be coherent. Note that this coherence cannot be checked. You are advised to use a separate framework for each density, and then to bring these frameworks together into a global one. The point relative to which the inertia of the system is computed is the reference point of the framework LProps. Note: if your programming ensures that the framework LProps retains only linear global properties (brought together for example, by the function LinearProperties) for objects the density of which is equal to 1 (or is not defined), the function Mass will return the total length of edges of the system analysed by LProps. Warning No check is performed to verify that the shape S retains truly linear properties. If S is simply a vertex, it is not considered to present any additional global properties. SkipShared is a special flag, which allows taking in calculation shared topological entities or not. For ex., if SkipShared = True, edges, shared by two or more faces, are taken into calculation only once. If we have cube with sizes 1, 1, 1, its linear properties = 12 for SkipEdges = true and 24 for SkipEdges = false. UseTriangulation is a special flag, which defines preferable source of geometry data. If UseTriangulation = Standard_False, exact geometry objects (curves) are used, otherwise polygons of triangulation are used first.
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| static void | SurfaceProperties (const TopoDS_Shape &S, GProp_GProps &SProps, const Standard_Boolean SkipShared=Standard_False, const Standard_Boolean UseTriangulation=Standard_False) |
| | Computes the surface global properties of the shape S, i.e. the global properties induced by each face of the shape S, and brings them together with the global properties still retained by the framework SProps. If the current system of SProps was empty, its global properties become equal to the surface global properties of S. For this computation, no surface density is attached to the faces. Consequently, the added mass corresponds to the sum of the areas of the faces of S. The density of the component systems, i.e. that of each component of the current system of SProps, and that of S which is considered to be equal to 1, must be coherent. Note that this coherence cannot be checked. You are advised to use a framework for each different value of density, and then to bring these frameworks together into a global one. The point relative to which the inertia of the system is computed is the reference point of the framework SProps. Note : if your programming ensures that the framework SProps retains only surface global properties, brought together, for example, by the function SurfaceProperties, for objects the density of which is equal to 1 (or is not defined), the function Mass will return the total area of faces of the system analysed by SProps. Warning No check is performed to verify that the shape S retains truly surface properties. If S is simply a vertex, an edge or a wire, it is not considered to present any additional global properties. SkipShared is a special flag, which allows taking in calculation shared topological entities or not. For ex., if SkipShared = True, faces, shared by two or more shells, are taken into calculation only once. UseTriangulation is a special flag, which defines preferable source of geometry data. If UseTriangulation = Standard_False, exact geometry objects (surfaces) are used, otherwise face triangulations are used first.
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| static Standard_Real | SurfaceProperties (const TopoDS_Shape &S, GProp_GProps &SProps, const Standard_Real Eps, const Standard_Boolean SkipShared=Standard_False) |
| | Updates <SProps> with the shape , that contains its principal properties. The surface properties of all the faces in are computed. Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (area) for each face. Error is calculated as Abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration. Method returns estimation of relative error reached for whole shape. WARNING: if Eps > 0.001 algorithm performs non-adaptive integration. SkipShared is a special flag, which allows taking in calculation shared topological entities or not For ex., if SkipShared = True, faces, shared by two or more shells, are taken into calculation only once.
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| static void | VolumeProperties (const TopoDS_Shape &S, GProp_GProps &VProps, const Standard_Boolean OnlyClosed=Standard_False, const Standard_Boolean SkipShared=Standard_False, const Standard_Boolean UseTriangulation=Standard_False) |
| | Computes the global volume properties of the solid S, and brings them together with the global properties still retained by the framework VProps. If the current system of VProps was empty, its global properties become equal to the global properties of S for volume. For this computation, no volume density is attached to the solid. Consequently, the added mass corresponds to the volume of S. The density of the component systems, i.e. that of each component of the current system of VProps, and that of S which is considered to be equal to 1, must be coherent to each other. Note that this coherence cannot be checked. You are advised to use a separate framework for each density, and then to bring these frameworks together into a global one. The point relative to which the inertia of the system is computed is the reference point of the framework VProps. Note: if your programming ensures that the framework VProps retains only global properties of volume (brought together for example, by the function VolumeProperties) for objects the density of which is equal to 1 (or is not defined), the function Mass will return the total volume of the solids of the system analysed by VProps. Warning The shape S must represent an object whose global volume properties can be computed. It may be a finite solid, or a series of finite solids all oriented in a coherent way. Nonetheless, S must be exempt of any free boundary. Note that these conditions of coherence are not checked by this algorithm, and results will be false if they are not respected. SkipShared a is special flag, which allows taking in calculation shared topological entities or not. For ex., if SkipShared = True, the volumes formed by the equal (the same TShape, location and orientation) faces are taken into calculation only once. UseTriangulation is a special flag, which defines preferable source of geometry data. If UseTriangulation = Standard_False, exact geometry objects (surfaces) are used, otherwise face triangulations are used first.
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| static Standard_Real | VolumeProperties (const TopoDS_Shape &S, GProp_GProps &VProps, const Standard_Real Eps, const Standard_Boolean OnlyClosed=Standard_False, const Standard_Boolean SkipShared=Standard_False) |
| | Updates <VProps> with the shape , that contains its principal properties. The volume properties of all the FORWARD and REVERSED faces in are computed. If OnlyClosed is True then computed faces must belong to closed Shells. Adaptive 2D Gauss integration is used. Parameter Eps sets maximal relative error of computed mass (volume) for each face. Error is calculated as Abs((M(i+1)-M(i))/M(i+1)), M(i+1) and M(i) are values for two successive steps of adaptive integration. Method returns estimation of relative error reached for whole shape. WARNING: if Eps > 0.001 algorithm performs non-adaptive integration. SkipShared is a special flag, which allows taking in calculation shared topological entities or not. For ex., if SkipShared = True, the volumes formed by the equal (the same TShape, location and orientation) faces are taken into calculation only once.
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| static Standard_Real | VolumePropertiesGK (const TopoDS_Shape &S, GProp_GProps &VProps, const Standard_Real Eps=0.001, const Standard_Boolean OnlyClosed=Standard_False, const Standard_Boolean IsUseSpan=Standard_False, const Standard_Boolean CGFlag=Standard_False, const Standard_Boolean IFlag=Standard_False, const Standard_Boolean SkipShared=Standard_False) |
| | Updates <VProps> with the shape , that contains its principal properties. The volume properties of all the FORWARD and REVERSED faces in are computed. If OnlyClosed is True then computed faces must belong to closed Shells. Adaptive 2D Gauss integration is used. Parameter IsUseSpan says if it is necessary to define spans on a face. This option has an effect only for BSpline faces. Parameter Eps sets maximal relative error of computed property for each face. Error is delivered by the adaptive Gauss-Kronrod method of integral computation that is used for properties computation. Method returns estimation of relative error reached for whole shape. Returns negative value if the computation is failed. SkipShared is a special flag, which allows taking in calculation shared topological entities or not. For ex., if SkipShared = True, the volumes formed by the equal (the same TShape, location and orientation) faces are taken into calculation only once.
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| static Standard_Real | VolumePropertiesGK (const TopoDS_Shape &S, GProp_GProps &VProps, const gp_Pln &thePln, const Standard_Real Eps=0.001, const Standard_Boolean OnlyClosed=Standard_False, const Standard_Boolean IsUseSpan=Standard_False, const Standard_Boolean CGFlag=Standard_False, const Standard_Boolean IFlag=Standard_False, const Standard_Boolean SkipShared=Standard_False) |
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Provides global functions to compute a shape's global properties for lines, surfaces or volumes, and bring them together with the global properties already computed for a geometric system. The global properties computed for a system are :
- its mass,
- its center of mass,
- its matrix of inertia,
- its moment about an axis,
- its radius of gyration about an axis,
- and its principal properties of inertia such as principal axis, principal moments, principal radius of gyration.
Computes the linear global properties of the shape S, i.e. the global properties induced by each edge of the shape S, and brings them together with the global properties still retained by the framework LProps. If the current system of LProps was empty, its global properties become equal to the linear global properties of S. For this computation no linear density is attached to the edges. So, for example, the added mass corresponds to the sum of the lengths of the edges of S. The density of the composed systems, i.e. that of each component of the current system of LProps, and that of S which is considered to be equal to 1, must be coherent. Note that this coherence cannot be checked. You are advised to use a separate framework for each density, and then to bring these frameworks together into a global one. The point relative to which the inertia of the system is computed is the reference point of the framework LProps. Note: if your programming ensures that the framework LProps retains only linear global properties (brought together for example, by the function LinearProperties) for objects the density of which is equal to 1 (or is not defined), the function Mass will return the total length of edges of the system analysed by LProps. Warning No check is performed to verify that the shape S retains truly linear properties. If S is simply a vertex, it is not considered to present any additional global properties. SkipShared is a special flag, which allows taking in calculation shared topological entities or not. For ex., if SkipShared = True, edges, shared by two or more faces, are taken into calculation only once. If we have cube with sizes 1, 1, 1, its linear properties = 12 for SkipEdges = true and 24 for SkipEdges = false. UseTriangulation is a special flag, which defines preferable source of geometry data. If UseTriangulation = Standard_False, exact geometry objects (curves) are used, otherwise polygons of triangulation are used first.
Computes the surface global properties of the shape S, i.e. the global properties induced by each face of the shape S, and brings them together with the global properties still retained by the framework SProps. If the current system of SProps was empty, its global properties become equal to the surface global properties of S. For this computation, no surface density is attached to the faces. Consequently, the added mass corresponds to the sum of the areas of the faces of S. The density of the component systems, i.e. that of each component of the current system of SProps, and that of S which is considered to be equal to 1, must be coherent. Note that this coherence cannot be checked. You are advised to use a framework for each different value of density, and then to bring these frameworks together into a global one. The point relative to which the inertia of the system is computed is the reference point of the framework SProps. Note : if your programming ensures that the framework SProps retains only surface global properties, brought together, for example, by the function SurfaceProperties, for objects the density of which is equal to 1 (or is not defined), the function Mass will return the total area of faces of the system analysed by SProps. Warning No check is performed to verify that the shape S retains truly surface properties. If S is simply a vertex, an edge or a wire, it is not considered to present any additional global properties. SkipShared is a special flag, which allows taking in calculation shared topological entities or not. For ex., if SkipShared = True, faces, shared by two or more shells, are taken into calculation only once. UseTriangulation is a special flag, which defines preferable source of geometry data. If UseTriangulation = Standard_False, exact geometry objects (surfaces) are used, otherwise face triangulations are used first.
Computes the global volume properties of the solid S, and brings them together with the global properties still retained by the framework VProps. If the current system of VProps was empty, its global properties become equal to the global properties of S for volume. For this computation, no volume density is attached to the solid. Consequently, the added mass corresponds to the volume of S. The density of the component systems, i.e. that of each component of the current system of VProps, and that of S which is considered to be equal to 1, must be coherent to each other. Note that this coherence cannot be checked. You are advised to use a separate framework for each density, and then to bring these frameworks together into a global one. The point relative to which the inertia of the system is computed is the reference point of the framework VProps. Note: if your programming ensures that the framework VProps retains only global properties of volume (brought together for example, by the function VolumeProperties) for objects the density of which is equal to 1 (or is not defined), the function Mass will return the total volume of the solids of the system analysed by VProps. Warning The shape S must represent an object whose global volume properties can be computed. It may be a finite solid, or a series of finite solids all oriented in a coherent way. Nonetheless, S must be exempt of any free boundary. Note that these conditions of coherence are not checked by this algorithm, and results will be false if they are not respected. SkipShared a is special flag, which allows taking in calculation shared topological entities or not. For ex., if SkipShared = True, the volumes formed by the equal (the same TShape, location and orientation) faces are taken into calculation only once. UseTriangulation is a special flag, which defines preferable source of geometry data. If UseTriangulation = Standard_False, exact geometry objects (surfaces) are used, otherwise face triangulations are used first.
1.12.0