1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
|
-- File: ElementarySurfaceToBSplineSurface.cdl
-- Created: Thu Oct 10 12:04:22 1991
-- Author: Jean Claude VAUTHIER
---Copyright: Matra Datavision 1991, 1992
deferred class ElementarySurfaceToBSplineSurface from Convert
--- Purpose :Root class for algorithms which convert an elementary
-- surface (cylinder, cone, sphere or torus) into a BSpline
-- surface (CylinderToBSplineSurface, ConeToBSplineSurface,
-- SphereToBSplineSurface, TorusToBSplineSurface).
-- These algorithms all work on elementary surfaces from
-- the gp package and compute all the data needed to
-- construct a BSpline surface equivalent to the cylinder,
-- cone, sphere or torus. This data consists of the following:
-- - degrees in the u and v parametric directions,
-- - periodic characteristics in the u and v parametric directions,
-- - a poles table with associated weights,
-- - a knots table (for the u and v parametric directions)
-- with associated multiplicities.
-- The abstract class
-- ElementarySurfaceToBSplineSurface provides a
-- framework for storing and consulting this computed data.
-- This data may then be used to construct a
-- Geom_BSplineSurface surface, for example.
-- All those classes define algorithmes to convert an
-- ElementarySurface into a B-spline surface.
-- This abstract class implements the methods to get
-- the geometric representation of the B-spline surface.
-- The B-spline representation is computed at the creation
-- time in the sub classes.
-- The B-spline surface is defined with its degree in the
-- parametric U and V directions, its control points (Poles),
-- its weights, its knots and their multiplicity.
-- KeyWords :
-- Convert, ElementarySurface, BSplineSurface.
uses Array1OfInteger from TColStd,
Array1OfReal from TColStd,
Array2OfReal from TColStd,
Array2OfPnt from TColgp,
Pnt from gp
raises OutOfRange from Standard
is
UDegree (me) returns Integer is static;
VDegree (me) returns Integer is static;
---Purpose: Returns the degree for the u or v parametric direction of
-- the BSpline surface whose data is computed in this framework.
NbUPoles (me) returns Integer is static;
NbVPoles (me) returns Integer is static;
---Purpose: Returns the number of poles for the u or v parametric
-- direction of the BSpline surface whose data is computed in this framework.
NbUKnots (me) returns Integer is static;
NbVKnots (me) returns Integer is static;
---Purpose: Returns the number of knots for the u or v parametric
-- direction of the BSpline surface whose data is computed in this framework .
IsUPeriodic(me) returns Boolean is static;
IsVPeriodic(me) returns Boolean is static;
---Purpose: Returns true if the BSpline surface whose data is computed
-- in this framework is periodic in the u or v parametric direction.
Pole (me; UIndex, VIndex : Integer) returns Pnt
--- Purpose : Returns the pole of index (UIndex,VIndex) to the poles
-- table of the BSpline surface whose data is computed in this framework.
-- Exceptions
-- Standard_OutOfRange if, for the BSpline surface whose
-- data is computed in this framework:
-- - UIndex is outside the bounds of the poles table in the u
-- parametric direction, or
-- - VIndex is outside the bounds of the poles table in the v
-- parametric direction.
raises OutOfRange
is static;
Weight (me; UIndex, VIndex : Integer) returns Real
--- Purpose : Returns the weight of the pole of index (UIndex,VIndex) to
-- the poles table of the BSpline surface whose data is computed in this framework.
-- Exceptions
-- Standard_OutOfRange if, for the BSpline surface whose
-- data is computed in this framework:
-- - UIndex is outside the bounds of the poles table in the u
-- parametric direction, or
-- - VIndex is outside the bounds of the poles table in the v
-- parametric direction.
raises OutOfRange
is static;
UKnot (me; UIndex : Integer) returns Real
--- Purpose : Returns the U-knot of range UIndex.
raises OutOfRange
--- Purpose : Raised if UIndex < 1 or UIndex > NbUKnots.
is static;
VKnot (me; UIndex : Integer) returns Real
--- Purpose : Returns the V-knot of range VIndex.
raises OutOfRange
--- Purpose : Raised if VIndex < 1 or VIndex > NbVKnots.
is static;
UMultiplicity (me; UIndex : Integer) returns Integer
--- Purpose : Returns the multiplicity of the U-knot of range UIndex.
raises OutOfRange
--- Purpose : Raised if UIndex < 1 or UIndex > NbUKnots.
is static;
VMultiplicity (me; VIndex : Integer) returns Integer
--- Purpose : Returns the multiplicity of the V-knot of range VIndex.
raises OutOfRange
--- Purpose : Raised if VIndex < 1 or VIndex > NbVKnots.
is static;
Initialize (NumberOfUPoles, NumberOfVPoles, NumberOfUKnots,
NumberOfVKnots, UDegree, VDegree : Integer);
fields
poles : Array2OfPnt is protected;
weights : Array2OfReal is protected;
uknots : Array1OfReal is protected;
umults : Array1OfInteger is protected;
vknots : Array1OfReal is protected;
vmults : Array1OfInteger is protected;
udegree : Integer is protected;
vdegree : Integer is protected;
nbUPoles : Integer is protected;
nbVPoles : Integer is protected;
nbUKnots : Integer is protected;
nbVKnots : Integer is protected;
isuperiodic : Boolean is protected;
isvperiodic : Boolean is protected;
end ElementarySurfaceToBSplineSurface;
|
