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
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
|
-- File: Approx_SweepApproximation.cdl
-- Created: Tue Jun 24 17:24:35 1997
-- Author: Philippe MANGIN
-- <pmn@sgi29>
---Copyright: Matra Datavision 1997
class SweepApproximation from Approx
---Purpose: Approximation of an Surface S(u,v)
-- (and eventually associate 2d Curves) defined
-- by section's law.
--
-- This surface is defined by a function F(u, v)
-- where Ft(u) = F(u, t) is a bspline curve.
-- To use this algorithme, you have to implement Ft(u)
-- as a derivative class of Approx_SweepFunction.
-- This algorithm can be used by blending, sweeping...
uses Array2OfReal from TColStd,
HArray2OfReal from TColStd,
Array1OfReal from TColStd,
HArray1OfReal from TColStd,
Array1OfInteger from TColStd,
HArray1OfInteger from TColStd,
Vec from gp,
Array1OfPnt2d from TColgp,
HArray1OfPnt2d from TColgp,
HArray1OfPnt from TColgp,
HArray1OfVec2d from TColgp,
HArray1OfVec from TColgp,
Array2OfPnt from TColgp,
HArray2OfPnt from TColgp,
HArray1OfGTrsf2d from Approx,
SequenceOfArray1OfPnt2d from TColgp,
Shape from GeomAbs,
EvaluatorFunction from AdvApprox,
Cutting from AdvApprox,
SweepFunction from Approx
raises NotDone from StdFail,
DomainError,
OutOfRange
is
Create(Func : SweepFunction from Approx)
returns SweepApproximation from Approx;
Perform(me : in out;
First, Last : Real;
Tol3d, BoundTol, Tol2d, TolAngular : Real;
Continuity : Shape = GeomAbs_C0;
Degmax : Integer = 11;
Segmax : Integer = 50)
---Purpose: Perform the Approximation
-- [First, Last] : Approx_SweepApproximation.cdl
-- Tol3d : Tolerance to surface approximation
-- Tol2d : Tolerance used to perform curve approximation
-- Normaly the 2d curve are approximated with a
-- tolerance given by the resolution on support surfaces,
-- but if this tolerance is too large Tol2d is used.
-- TolAngular : Tolerance (in radian) to control the angle
-- beetween tangents on the section law and
-- tangent of iso-v on approximed surface
-- Continuity : The continuity in v waiting on the surface
-- Degmax : The maximum degree in v requiered on the surface
-- Segmax : The maximum number of span in v requiered on
-- the surface
-- Warning : The continuity ci can be obtained only if Ft is Ci
raises DomainError from Standard;
-- if <Continuity> not in {C0, C1, C2}
-- if <Degmax> < 2 or degmax > Geom_BSplineSurface::MaxDegree()
-- if <Segmax> < 1
-- if one tolerance is <= 0
Approximation(me : in out;
OneDTol, TwoDTol, ThreeDTol : HArray1OfReal;
BounTol : Real;
First, Last : Real;
Continuity : Shape;
Degmax, Segmax : Integer;
TheApproxFunction : EvaluatorFunction from AdvApprox;
TheCuttingTool : Cutting from AdvApprox)
is private;
Eval(me : in out;
Parameter : Real;
DerivativeRequest : Integer;
First, Last : Real;
Result : in out Real)
---Purpose : The EvaluatorFunction from AdvApprox;
returns Integer from Standard;
D0(me : in out;
Param: Real;
First, Last : Real;
Result:in out Real)
returns Boolean is private;
D1(me : in out;
Param: Real;
First, Last : Real;
Result:in out Real)
returns Boolean is private;
D2(me : in out;
Param: Real;
First, Last : Real;
Result:in out Real)
returns Boolean is private;
IsDone(me)
---Purpose : returns if we have an result
returns Boolean from Standard
---C++: inline
is static;
SurfShape(me; UDegree,VDegree : out Integer from Standard;
NbUPoles,NbVPoles: out Integer from Standard;
NbUKnots,NbVKnots: out Integer from Standard)
raises NotDone from StdFail
is static;
Surface(me; TPoles : out Array2OfPnt from TColgp;
TWeights : out Array2OfReal from TColStd;
TUKnots,TVKnots : out Array1OfReal from TColStd;
TUMults,TVMults : out Array1OfInteger from TColStd)
raises NotDone from StdFail
is static;
UDegree(me)
returns Integer from Standard
---C++: inline
raises NotDone from StdFail
is static;
VDegree(me)
returns Integer from Standard
---C++: inline
raises NotDone from StdFail
is static;
SurfPoles(me)
returns Array2OfPnt from TColgp
---C++: inline
---C++: return const&
raises NotDone from StdFail
is static;
SurfWeights(me)
returns Array2OfReal from TColStd
---C++: inline
---C++: return const&
raises NotDone from StdFail
is static;
SurfUKnots(me)
returns Array1OfReal from TColStd
---C++: inline
---C++: return const&
raises NotDone from StdFail
is static;
SurfVKnots(me)
returns Array1OfReal from TColStd
---C++: inline
---C++: return const&
raises NotDone from StdFail
is static;
SurfUMults(me)
returns Array1OfInteger from TColStd
---C++: inline
---C++: return const&
raises NotDone from StdFail
is static;
SurfVMults(me)
returns Array1OfInteger from TColStd
---C++: inline
---C++: return const&
raises NotDone from StdFail
is static;
MaxErrorOnSurf (me)
---Purpose: returns the maximum error in the suface approximation.
returns Real;
AverageErrorOnSurf(me)
---Purpose: returns the average error in the suface approximation.
returns Real;
NbCurves2d(me)
returns Integer from Standard
---C++: inline
raises NotDone from StdFail
is static;
Curves2dShape(me; Degree,NbPoles,NbKnots: out Integer from Standard)
raises NotDone from StdFail,
DomainError from Standard
is static;
Curve2d(me; Index: Integer from Standard;
TPoles : out Array1OfPnt2d from TColgp;
TKnots : out Array1OfReal from TColStd;
TMults : out Array1OfInteger from TColStd)
raises NotDone from StdFail,
OutOfRange from Standard,
DomainError from Standard
is static;
Curves2dDegree(me)
returns Integer from Standard
---C++: inline
raises NotDone from StdFail,
DomainError from Standard
is static;
Curve2dPoles(me; Index: Integer from Standard)
returns Array1OfPnt2d from TColgp
---C++: inline
---C++: return const&
raises NotDone from StdFail,
OutOfRange from Standard,
DomainError from Standard
is static;
Curves2dKnots(me)
returns Array1OfReal from TColStd
---C++: inline
---C++: return const&
raises NotDone from StdFail,
DomainError from Standard
is static;
Curves2dMults(me)
returns Array1OfInteger from TColStd
---C++: inline
---C++: return const&
raises NotDone from StdFail,
DomainError from Standard
is static;
Max2dError (me; Index : Integer)
---Purpose: returns the maximum error of the <Index>
-- 2d curve approximation.
returns Real;
Average2dError(me; Index : Integer )
---Purpose: returns the average error of the <Index>
-- 2d curve approximation.
returns Real;
TolCurveOnSurf(me; Index : Integer from Standard)
---Purpose: returns the maximum 3d error of the <Index>
-- 2d curve approximation on the Surface.
returns Real from Standard
raises NotDone from StdFail
is static;
Dump(me; o: in out OStream);
---Purpose: display information on approximation.
fields
myFunc : SweepFunction from Approx;
done : Boolean from Standard;
Num1DSS : Integer from Standard;
Num2DSS : Integer from Standard;
Num3DSS : Integer from Standard;
udeg : Integer from Standard;
vdeg : Integer from Standard;
deg2d : Integer from Standard;
tabPoles : HArray2OfPnt from TColgp;
tabWeights: HArray2OfReal from TColStd;
tabUKnots : HArray1OfReal from TColStd;
tabVKnots : HArray1OfReal from TColStd;
tab2dKnots: HArray1OfReal from TColStd;
tabUMults : HArray1OfInteger from TColStd;
tabVMults : HArray1OfInteger from TColStd;
tab2dMults: HArray1OfInteger from TColStd;
seqPoles2d: SequenceOfArray1OfPnt2d from TColgp;
MError1d : HArray1OfReal from TColStd;
tab2dError: HArray1OfReal from TColStd;
MError3d : HArray1OfReal from TColStd;
AError1d : HArray1OfReal from TColStd;
Ave2dError: HArray1OfReal from TColStd;
AError3d : HArray1OfReal from TColStd;
AAffin : HArray1OfGTrsf2d from Approx;
COnSurfErr: HArray1OfReal from TColStd;
Translation : Vec from gp;
--
-- To Accelerate Evaluation :
--
myPoles : HArray1OfPnt;
myPoles2d : HArray1OfPnt2d;
myWeigths : HArray1OfReal;
myDPoles : HArray1OfVec;
myD2Poles : HArray1OfVec;
myDPoles2d : HArray1OfVec2d;
myD2Poles2d: HArray1OfVec2d;
myDWeigths : HArray1OfReal;
myD2Weigths: HArray1OfReal;
myOrder : Integer;
myParam : Real;
first, last: Real;
end SweepApproximation;
|
