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b311480e | 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 | ||

7fd59977 | 21 | -- JCV - January 1992 |

7fd59977 | 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; |