| 1 | -- Created on: 1991-03-12 |
| 2 | -- Created by: Michel CHAUVAT |
| 3 | -- Copyright (c) 1991-1999 Matra Datavision |
| 4 | -- Copyright (c) 1999-2012 OPEN CASCADE SAS |
| 5 | -- |
| 6 | -- The content of this file is subject to the Open CASCADE Technology Public |
| 7 | -- License Version 6.5 (the "License"). You may not use the content of this file |
| 8 | -- except in compliance with the License. Please obtain a copy of the License |
| 9 | -- at http://www.opencascade.org and read it completely before using this file. |
| 10 | -- |
| 11 | -- The Initial Developer of the Original Code is Open CASCADE S.A.S., having its |
| 12 | -- main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France. |
| 13 | -- |
| 14 | -- The Original Code and all software distributed under the License is |
| 15 | -- distributed on an "AS IS" basis, without warranty of any kind, and the |
| 16 | -- Initial Developer hereby disclaims all such warranties, including without |
| 17 | -- limitation, any warranties of merchantability, fitness for a particular |
| 18 | -- purpose or non-infringement. Please see the License for the specific terms |
| 19 | -- and conditions governing the rights and limitations under the License. |
| 20 | |
| 21 | -- JCV - January 1992 |
| 22 | |
| 23 | |
| 24 | |
| 25 | package GProp |
| 26 | |
| 27 | --- Purpose: |
| 28 | -- This package defines algorithmes to compute the global properties |
| 29 | -- of a set of points, a curve, a surface, a solid (non infinite |
| 30 | -- region of space delimited with geometric entities), a compound |
| 31 | -- geometric system (heterogeneous composition of the previous |
| 32 | -- entities). |
| 33 | -- |
| 34 | -- Global properties are : |
| 35 | -- . length, area, volume, |
| 36 | -- . centre of mass, |
| 37 | -- . axis of inertia, |
| 38 | -- . moments of inertia, |
| 39 | -- . radius of gyration. |
| 40 | -- |
| 41 | -- It provides also a class to compile the average point or |
| 42 | -- line of a set of points. |
| 43 | |
| 44 | uses |
| 45 | Standard, |
| 46 | TColStd, |
| 47 | TColgp, |
| 48 | gp, |
| 49 | math, |
| 50 | GeomAbs |
| 51 | |
| 52 | is |
| 53 | |
| 54 | exception UndefinedAxis inherits DomainError; |
| 55 | --- Purpose : |
| 56 | -- This exception is raised when a method makes reference to |
| 57 | -- an undefined inertia axis of symmetry. |
| 58 | |
| 59 | |
| 60 | enumeration EquaType |
| 61 | is Plane, Line, Point, Space, None end; |
| 62 | |
| 63 | enumeration ValueType |
| 64 | is Mass, |
| 65 | CenterMassX, CenterMassY, CenterMassZ, |
| 66 | InertiaXX, InertiaYY, InertiaZZ, |
| 67 | InertiaXY, InertiaXZ, InertiaYZ, |
| 68 | Unknown |
| 69 | end; |
| 70 | |
| 71 | |
| 72 | |
| 73 | --- Purpose : Algorithmes : |
| 74 | |
| 75 | |
| 76 | class GProps; |
| 77 | --- Purpose : |
| 78 | -- Computes the global properties of a compound geometric |
| 79 | -- system in 3d space. It gives facilities to compose the |
| 80 | -- properties of hetegogeneous elements of the system |
| 81 | -- (PGProps, CGProps, SGProps, VGProps or GProps). A density |
| 82 | -- can be associated with each component of the system. |
| 83 | |
| 84 | |
| 85 | class PGProps; |
| 86 | --- Purpose : |
| 87 | -- Computes the global properties of a set of points in 3d. |
| 88 | -- This class inherits GProps. |
| 89 | |
| 90 | |
| 91 | generic class CGProps; |
| 92 | ---Purpose : |
| 93 | -- Computes the global properties of a bounded |
| 94 | -- curve in 3d. This class inherits GProps. |
| 95 | |
| 96 | class CelGProps; |
| 97 | ---Purpose : |
| 98 | -- Computes the global properties of a gp curve in 3d |
| 99 | -- This class inherits GProps. |
| 100 | |
| 101 | generic class SGProps; |
| 102 | ---Purpose : |
| 103 | -- Computes the global properties and the area of a bounded |
| 104 | -- surface in 3d. This class inherits GProps. |
| 105 | |
| 106 | |
| 107 | class SelGProps; |
| 108 | ---Purpose : |
| 109 | -- Computes the global properties and the area of a bounded |
| 110 | -- elementary surface in 3d. This class inherits GProps. |
| 111 | |
| 112 | generic class VGProps; |
| 113 | ---Purpose : |
| 114 | -- Computes the global properties and the volume of a region |
| 115 | -- of space. This class inherits GProps. |
| 116 | |
| 117 | generic class VGPropsGK, UFunction, TFunction; |
| 118 | ---Purpose : |
| 119 | -- Computes the global properties and the volume of a region |
| 120 | -- of space by adaptive Gauss-Kronrod integration. |
| 121 | -- This class inherits GProps. |
| 122 | |
| 123 | |
| 124 | class VelGProps; |
| 125 | ---Purpose : |
| 126 | -- Computes the global properties and the volume of a region |
| 127 | -- of space. the region of space is defined by an elementary |
| 128 | -- surface. This class inherits GProps. |
| 129 | |
| 130 | |
| 131 | class PrincipalProps; |
| 132 | ---Purpose : |
| 133 | -- Returns the principal inertia properties of a GProps. |
| 134 | |
| 135 | |
| 136 | |
| 137 | |
| 138 | --- Purpose : |
| 139 | -- The following abstract classes define templates |
| 140 | -- with the minimum of methods required to implement |
| 141 | -- the computation of the global properties for a curve |
| 142 | -- or a surface. |
| 143 | |
| 144 | |
| 145 | deferred generic class CurveTool; |
| 146 | |
| 147 | deferred generic class FaceTool; |
| 148 | |
| 149 | deferred generic class DomainTool; |
| 150 | |
| 151 | -- |
| 152 | -- Class to compute the average plane or line of a set of points. |
| 153 | -- |
| 154 | |
| 155 | class PEquation; |
| 156 | |
| 157 | --- Purpose : methods of package |
| 158 | |
| 159 | HOperator (G, Q : Pnt from gp; Mass : Real; Operator : out Mat from gp); |
| 160 | --- Purpose : Computes the matrix Operator, referred to as the |
| 161 | -- "Huyghens Operator" of a geometric system at the |
| 162 | -- point Q of the space, using the following data : |
| 163 | -- - Mass, i.e. the mass of the system, |
| 164 | -- - G, the center of mass of the system. |
| 165 | -- The "Huyghens Operator" is used to compute |
| 166 | -- Inertia/Q, the matrix of inertia of the system at |
| 167 | -- the point Q using Huyghens' theorem : |
| 168 | -- Inertia/Q = Inertia/G + HOperator (Q, G, Mass) |
| 169 | -- where Inertia/G is the matrix of inertia of the |
| 170 | -- system relative to its center of mass as returned by |
| 171 | -- the function MatrixOfInertia on any GProp_GProps object. |
| 172 | |
| 173 | |
| 174 | end GProp; |