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1 | // Copyright (c) 1995-1999 Matra Datavision |
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2 | // Copyright (c) 1999-2014 OPEN CASCADE SAS |
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3 | // |
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4 | // This file is part of Open CASCADE Technology software library. |
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5 | // |
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6 | // This library is free software; you can redistribute it and/or modify it under |
7 | // the terms of the GNU Lesser General Public License version 2.1 as published |
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8 | // by the Free Software Foundation, with special exception defined in the file |
9 | // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT |
10 | // distribution for complete text of the license and disclaimer of any warranty. |
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11 | // |
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12 | // Alternatively, this file may be used under the terms of Open CASCADE |
13 | // commercial license or contractual agreement. |
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14 | |
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15 | #include <Standard_NotImplemented.hxx> |
16 | #include <math_Vector.hxx> |
17 | #include <math.hxx> |
18 | #include <gp_Pnt2d.hxx> |
19 | #include <gp_Vec2d.hxx> |
20 | #include <gp_Pnt.hxx> |
21 | #include <gp_Vec.hxx> |
22 | |
23 | #include <TColStd_Array1OfReal.hxx> |
24 | #include <Precision.hxx> |
25 | |
26 | class HMath_Vector{ |
27 | math_Vector *pvec; |
28 | void operator=(const math_Vector&){} |
29 | public: |
30 | HMath_Vector(){ pvec = 0;} |
31 | HMath_Vector(math_Vector* pv){ pvec = pv;} |
32 | ~HMath_Vector(){ if(pvec != 0) delete pvec;} |
33 | void operator=(math_Vector* pv){ if(pvec != pv && pvec != 0) delete pvec; pvec = pv;} |
34 | Standard_Real& operator()(Standard_Integer i){ return (*pvec).operator()(i);} |
35 | const Standard_Real& operator()(Standard_Integer i) const{ return (*pvec).operator()(i);} |
36 | const math_Vector* operator->() const{ return pvec;} |
37 | math_Vector* operator->(){ return pvec;} |
38 | math_Vector* Vector(){ return pvec;} |
39 | math_Vector* Init(Standard_Real v, Standard_Integer i = 0, Standard_Integer iEnd = 0){ |
40 | if(pvec == 0) return pvec; |
41 | if(iEnd - i == 0) pvec->Init(v); |
42 | else { Standard_Integer End = (iEnd <= pvec->Upper()) ? iEnd : pvec->Upper(); |
43 | for(; i <= End; i++) pvec->operator()(i) = v; } |
44 | return pvec; |
45 | } |
46 | }; |
47 | |
48 | static Standard_Real EPS_PARAM = 1.e-12; |
49 | static Standard_Real EPS_DIM = 1.e-20; |
50 | static Standard_Real ERROR_ALGEBR_RATIO = 2.0/3.0; |
51 | |
52 | static Standard_Integer GPM = 61; |
53 | static Standard_Integer SUBS_POWER = 32; |
54 | static Standard_Integer SM = 1953; |
55 | |
56 | static math_Vector LGaussP0(1,GPM); |
57 | static math_Vector LGaussW0(1,GPM); |
58 | static math_Vector LGaussP1(1,RealToInt(Ceiling(ERROR_ALGEBR_RATIO*GPM))); |
59 | static math_Vector LGaussW1(1,RealToInt(Ceiling(ERROR_ALGEBR_RATIO*GPM))); |
60 | |
61 | static math_Vector* LGaussP[] = {&LGaussP0,&LGaussP1}; |
62 | static math_Vector* LGaussW[] = {&LGaussW0,&LGaussW1}; |
63 | |
64 | static HMath_Vector L1 = new math_Vector(1,SM,0.0); |
65 | static HMath_Vector L2 = new math_Vector(1,SM,0.0); |
66 | static HMath_Vector DimL = new math_Vector(1,SM,0.0); |
67 | static HMath_Vector ErrL = new math_Vector(1,SM,0.0); |
68 | static HMath_Vector ErrUL = new math_Vector(1,SM,0.0); |
69 | static HMath_Vector IxL = new math_Vector(1,SM,0.0); |
70 | static HMath_Vector IyL = new math_Vector(1,SM,0.0); |
71 | static HMath_Vector IzL = new math_Vector(1,SM,0.0); |
72 | static HMath_Vector IxxL = new math_Vector(1,SM,0.0); |
73 | static HMath_Vector IyyL = new math_Vector(1,SM,0.0); |
74 | static HMath_Vector IzzL = new math_Vector(1,SM,0.0); |
75 | static HMath_Vector IxyL = new math_Vector(1,SM,0.0); |
76 | static HMath_Vector IxzL = new math_Vector(1,SM,0.0); |
77 | static HMath_Vector IyzL = new math_Vector(1,SM,0.0); |
78 | |
79 | static math_Vector UGaussP0(1,GPM); |
80 | static math_Vector UGaussW0(1,GPM); |
81 | static math_Vector UGaussP1(1,RealToInt(Ceiling(ERROR_ALGEBR_RATIO*GPM))); |
82 | static math_Vector UGaussW1(1,RealToInt(Ceiling(ERROR_ALGEBR_RATIO*GPM))); |
83 | |
84 | static math_Vector* UGaussP[] = {&UGaussP0,&UGaussP1}; |
85 | static math_Vector* UGaussW[] = {&UGaussW0,&UGaussW1}; |
86 | |
87 | static HMath_Vector U1 = new math_Vector(1,SM,0.0); |
88 | static HMath_Vector U2 = new math_Vector(1,SM,0.0); |
89 | static HMath_Vector DimU = new math_Vector(1,SM,0.0); |
90 | static HMath_Vector ErrU = new math_Vector(1,SM,0.0); |
91 | static HMath_Vector IxU = new math_Vector(1,SM,0.0); |
92 | static HMath_Vector IyU = new math_Vector(1,SM,0.0); |
93 | static HMath_Vector IzU = new math_Vector(1,SM,0.0); |
94 | static HMath_Vector IxxU = new math_Vector(1,SM,0.0); |
95 | static HMath_Vector IyyU = new math_Vector(1,SM,0.0); |
96 | static HMath_Vector IzzU = new math_Vector(1,SM,0.0); |
97 | static HMath_Vector IxyU = new math_Vector(1,SM,0.0); |
98 | static HMath_Vector IxzU = new math_Vector(1,SM,0.0); |
99 | static HMath_Vector IyzU = new math_Vector(1,SM,0.0); |
100 | |
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101 | static inline Standard_Real MultiplicationInf(Standard_Real theMA, Standard_Real theMB) |
102 | { |
103 | if((theMA == 0.0) || (theMB == 0.0)) //strictly zerro (without any tolerances) |
104 | return 0.0; |
105 | |
106 | if(Precision::IsPositiveInfinite(theMA)) |
107 | { |
108 | if(theMB < 0.0) |
109 | return -Precision::Infinite(); |
110 | else |
111 | return Precision::Infinite(); |
112 | } |
113 | |
114 | if(Precision::IsPositiveInfinite(theMB)) |
115 | { |
116 | if(theMA < 0.0) |
117 | return -Precision::Infinite(); |
118 | else |
119 | return Precision::Infinite(); |
120 | } |
121 | |
122 | if(Precision::IsNegativeInfinite(theMA)) |
123 | { |
124 | if(theMB < 0.0) |
125 | return +Precision::Infinite(); |
126 | else |
127 | return -Precision::Infinite(); |
128 | } |
129 | |
130 | if(Precision::IsNegativeInfinite(theMB)) |
131 | { |
132 | if(theMA < 0.0) |
133 | return +Precision::Infinite(); |
134 | else |
135 | return -Precision::Infinite(); |
136 | } |
137 | |
138 | return (theMA * theMB); |
139 | } |
140 | |
141 | static inline Standard_Real AdditionInf(Standard_Real theMA, Standard_Real theMB) |
142 | { |
143 | if(Precision::IsPositiveInfinite(theMA)) |
144 | { |
145 | if(Precision::IsNegativeInfinite(theMB)) |
146 | return 0.0; |
147 | else |
148 | return Precision::Infinite(); |
149 | } |
150 | |
151 | if(Precision::IsPositiveInfinite(theMB)) |
152 | { |
153 | if(Precision::IsNegativeInfinite(theMA)) |
154 | return 0.0; |
155 | else |
156 | return Precision::Infinite(); |
157 | } |
158 | |
159 | if(Precision::IsNegativeInfinite(theMA)) |
160 | { |
161 | if(Precision::IsPositiveInfinite(theMB)) |
162 | return 0.0; |
163 | else |
164 | return -Precision::Infinite(); |
165 | } |
166 | |
167 | if(Precision::IsNegativeInfinite(theMB)) |
168 | { |
169 | if(Precision::IsPositiveInfinite(theMA)) |
170 | return 0.0; |
171 | else |
172 | return -Precision::Infinite(); |
173 | } |
174 | |
175 | return (theMA + theMB); |
176 | } |
177 | |
178 | static inline Standard_Real Multiplication(Standard_Real theMA, Standard_Real theMB) |
179 | { |
180 | return (theMA * theMB); |
181 | } |
182 | |
183 | static inline Standard_Real Addition(Standard_Real theMA, Standard_Real theMB) |
184 | { |
185 | return (theMA + theMB); |
186 | } |
187 | |
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188 | static Standard_Integer FillIntervalBounds(Standard_Real A, |
189 | Standard_Real B, |
190 | const TColStd_Array1OfReal& Knots, |
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191 | HMath_Vector& VA, |
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192 | HMath_Vector& VB) |
193 | { |
194 | Standard_Integer i = 1, iEnd = Knots.Upper(), j = 1, k = 1; |
195 | VA(j++) = A; |
196 | for(; i <= iEnd; i++){ |
197 | Standard_Real kn = Knots(i); |
198 | if(A < kn) |
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199 | { |
200 | if(kn < B) |
201 | { |
202 | VA(j++) = VB(k++) = kn; |
203 | } |
204 | else |
205 | { |
206 | break; |
207 | } |
208 | } |
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209 | } |
210 | VB(k) = B; |
211 | return k; |
212 | } |
213 | |
214 | static inline Standard_Integer MaxSubs(Standard_Integer n, Standard_Integer coeff = SUBS_POWER){ |
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215 | // return n = IntegerLast()/coeff < n? IntegerLast(): n*coeff + 1; |
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216 | return Min((n * coeff + 1),SM); |
217 | } |
218 | |
219 | static Standard_Integer LFillIntervalBounds(Standard_Real A, |
220 | Standard_Real B, |
221 | const TColStd_Array1OfReal& Knots, |
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222 | const Standard_Integer NumSubs) |
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223 | { |
224 | Standard_Integer iEnd = Knots.Upper(), jEnd = L1->Upper(); |
225 | if(iEnd - 1 > jEnd){ |
226 | iEnd = MaxSubs(iEnd-1,NumSubs); |
227 | L1 = new math_Vector(1,iEnd); |
228 | L2 = new math_Vector(1,iEnd); |
229 | DimL = new math_Vector(1,iEnd); |
230 | ErrL = new math_Vector(1,iEnd,0.0); |
231 | ErrUL = new math_Vector(1,iEnd,0.0); |
232 | IxL = new math_Vector(1,iEnd); |
233 | IyL = new math_Vector(1,iEnd); |
234 | IzL = new math_Vector(1,iEnd); |
235 | IxxL = new math_Vector(1,iEnd); |
236 | IyyL = new math_Vector(1,iEnd); |
237 | IzzL = new math_Vector(1,iEnd); |
238 | IxyL = new math_Vector(1,iEnd); |
239 | IxzL = new math_Vector(1,iEnd); |
240 | IyzL = new math_Vector(1,iEnd); |
241 | } |
242 | return FillIntervalBounds(A, B, Knots, L1, L2); |
243 | } |
244 | |
245 | static Standard_Integer UFillIntervalBounds(Standard_Real A, |
246 | Standard_Real B, |
247 | const TColStd_Array1OfReal& Knots, |
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248 | const Standard_Integer NumSubs) |
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249 | { |
250 | Standard_Integer iEnd = Knots.Upper(), jEnd = U1->Upper(); |
251 | if(iEnd - 1 > jEnd){ |
252 | iEnd = MaxSubs(iEnd-1,NumSubs); |
253 | U1 = new math_Vector(1,iEnd); |
254 | U2 = new math_Vector(1,iEnd); |
255 | DimU = new math_Vector(1,iEnd); |
256 | ErrU = new math_Vector(1,iEnd,0.0); |
257 | IxU = new math_Vector(1,iEnd); |
258 | IyU = new math_Vector(1,iEnd); |
259 | IzU = new math_Vector(1,iEnd); |
260 | IxxU = new math_Vector(1,iEnd); |
261 | IyyU = new math_Vector(1,iEnd); |
262 | IzzU = new math_Vector(1,iEnd); |
263 | IxyU = new math_Vector(1,iEnd); |
264 | IxzU = new math_Vector(1,iEnd); |
265 | IyzU = new math_Vector(1,iEnd); |
266 | } |
267 | return FillIntervalBounds(A, B, Knots, U1, U2); |
268 | } |
269 | |
270 | static Standard_Real CCompute(Face& S, |
271 | Domain& D, |
272 | const gp_Pnt& loc, |
273 | Standard_Real& Dim, |
274 | gp_Pnt& g, |
275 | gp_Mat& inertia, |
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276 | const Standard_Real EpsDim, |
277 | const Standard_Boolean isErrorCalculation, |
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278 | const Standard_Boolean isVerifyComputation) |
279 | { |
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280 | Standard_Real (*FuncAdd)(Standard_Real, Standard_Real); |
281 | Standard_Real (*FuncMul)(Standard_Real, Standard_Real); |
282 | |
283 | FuncAdd = Addition; |
284 | FuncMul = Multiplication; |
285 | |
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286 | Standard_Boolean isNaturalRestriction = S.NaturalRestriction(); |
287 | |
288 | Standard_Integer NumSubs = SUBS_POWER; |
289 | |
290 | Standard_Real Ix, Iy, Iz, Ixx, Iyy, Izz, Ixy, Ixz, Iyz; |
291 | Dim = Ix = Iy = Iz = Ixx = Iyy = Izz = Ixy = Ixz = Iyz = 0.0; |
292 | Standard_Real x, y, z; |
293 | //boundary curve parametrization |
294 | Standard_Real l1, l2, lm, lr, l; |
295 | //Face parametrization in U and V direction |
296 | Standard_Real BV1, BV2, v; |
297 | Standard_Real BU1, BU2, u1, u2, um, ur, u; |
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298 | S.Bounds (BU1, BU2, BV1, BV2); |
299 | u1 = BU1; |
300 | |
301 | if(Precision::IsInfinite(BU1) || Precision::IsInfinite(BU2) || |
302 | Precision::IsInfinite(BV1) || Precision::IsInfinite(BV2)) |
303 | { |
304 | FuncAdd = AdditionInf; |
305 | FuncMul = MultiplicationInf; |
306 | } |
307 | |
308 | |
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309 | //location point used to compute the inertia |
310 | Standard_Real xloc, yloc, zloc; |
311 | loc.Coord (xloc, yloc, zloc); // use member of parent class |
312 | //Jacobien (x, y, z) -> (u, v) = ||n|| |
313 | Standard_Real ds; |
314 | //On the Face |
315 | gp_Pnt Ps; |
316 | gp_Vec VNor; |
317 | //On the boundary curve u-v |
318 | gp_Pnt2d Puv; |
319 | gp_Vec2d Vuv; |
320 | Standard_Real Dul; // Dul = Du / Dl |
321 | Standard_Real CDim[2], CIx, CIy, CIz, CIxx, CIyy, CIzz, CIxy, CIxz, CIyz; |
322 | Standard_Real LocDim[2], LocIx, LocIy, LocIz, LocIxx, LocIyy, LocIzz, LocIxy, LocIxz, LocIyz; |
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323 | |
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324 | Standard_Real ErrorU, ErrorL, ErrorLMax = 0.0, Eps=0.0, EpsL=0.0, EpsU=0.0; |
325 | |
326 | Standard_Integer iD = 0, NbLSubs, iLS, iLSubEnd, iGL, iGLEnd, NbLGaussP[2], LRange[2], iL, kL, kLEnd, IL, JL; |
327 | Standard_Integer i, NbUSubs, iUS, iUSubEnd, iGU, iGUEnd, NbUGaussP[2], URange[2], iU, kU, kUEnd, IU, JU; |
328 | Standard_Integer UMaxSubs, LMaxSubs; |
329 | iGLEnd = isErrorCalculation? 2: 1; |
330 | for(i = 0; i < 2; i++) { |
331 | LocDim[i] = 0.0; |
332 | CDim[i] = 0.0; |
333 | } |
334 | |
335 | NbUGaussP[0] = S.SIntOrder(EpsDim); |
336 | NbUGaussP[1] = RealToInt(Ceiling(ERROR_ALGEBR_RATIO*NbUGaussP[0])); |
337 | math::GaussPoints(NbUGaussP[0],UGaussP0); math::GaussWeights(NbUGaussP[0],UGaussW0); |
338 | math::GaussPoints(NbUGaussP[1],UGaussP1); math::GaussWeights(NbUGaussP[1],UGaussW1); |
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339 | |
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340 | NbUSubs = S.SUIntSubs(); |
341 | TColStd_Array1OfReal UKnots(1,NbUSubs+1); |
342 | S.UKnots(UKnots); |
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343 | |
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344 | while (isNaturalRestriction || D.More()) |
345 | { |
346 | if(isNaturalRestriction) |
347 | { |
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348 | NbLGaussP[0] = Min(2*NbUGaussP[0],math::GaussPointsMax()); |
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349 | } |
350 | else |
351 | { |
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352 | S.Load(D.Value()); ++iD; |
353 | NbLGaussP[0] = S.LIntOrder(EpsDim); |
354 | } |
355 | |
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356 | NbLGaussP[1] = RealToInt(Ceiling(ERROR_ALGEBR_RATIO*NbLGaussP[0])); |
357 | math::GaussPoints(NbLGaussP[0],LGaussP0); math::GaussWeights(NbLGaussP[0],LGaussW0); |
358 | math::GaussPoints(NbLGaussP[1],LGaussP1); math::GaussWeights(NbLGaussP[1],LGaussW1); |
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359 | |
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360 | NbLSubs = isNaturalRestriction? S.SVIntSubs(): S.LIntSubs(); |
361 | |
362 | TColStd_Array1OfReal LKnots(1,NbLSubs+1); |
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363 | if(isNaturalRestriction) |
364 | { |
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365 | S.VKnots(LKnots); |
366 | l1 = BV1; l2 = BV2; |
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367 | } |
368 | else |
369 | { |
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370 | S.LKnots(LKnots); |
371 | l1 = S.FirstParameter(); l2 = S.LastParameter(); |
372 | } |
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373 | |
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374 | ErrorL = 0.0; |
375 | kLEnd = 1; JL = 0; |
376 | //OCC503(apo): if(Abs(l2-l1) < EPS_PARAM) continue; |
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377 | if(Abs(l2-l1) > EPS_PARAM) |
378 | { |
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379 | iLSubEnd = LFillIntervalBounds(l1, l2, LKnots, NumSubs); |
380 | LMaxSubs = MaxSubs(iLSubEnd); |
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381 | if(LMaxSubs > DimL.Vector()->Upper()) |
382 | LMaxSubs = DimL.Vector()->Upper(); |
383 | |
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384 | DimL.Init(0.0,1,LMaxSubs); ErrL.Init(0.0,1,LMaxSubs); ErrUL.Init(0.0,1,LMaxSubs); |
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385 | |
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386 | do{// while: L |
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387 | if(++JL > iLSubEnd) |
388 | { |
389 | LRange[0] = IL = ErrL->Max(); |
390 | LRange[1] = JL; |
391 | L1(JL) = (L1(IL) + L2(IL))/2.0; |
392 | L2(JL) = L2(IL); |
393 | L2(IL) = L1(JL); |
394 | } |
395 | else |
396 | LRange[0] = IL = JL; |
397 | |
398 | if(JL == LMaxSubs || Abs(L2(JL) - L1(JL)) < EPS_PARAM) |
399 | if(kLEnd == 1) |
400 | { |
401 | DimL(JL) = ErrL(JL) = IxL(JL) = IyL(JL) = IzL(JL) = |
402 | IxxL(JL) = IyyL(JL) = IzzL(JL) = IxyL(JL) = IxzL(JL) = IyzL(JL) = 0.0; |
403 | }else{ |
404 | JL--; |
405 | EpsL = ErrorL; Eps = EpsL/0.9; |
406 | break; |
407 | } |
408 | else |
409 | for(kL=0; kL < kLEnd; kL++) |
410 | { |
411 | iLS = LRange[kL]; |
412 | lm = 0.5*(L2(iLS) + L1(iLS)); |
413 | lr = 0.5*(L2(iLS) - L1(iLS)); |
414 | CIx = CIy = CIz = CIxx = CIyy = CIzz = CIxy = CIxz = CIyz = 0.0; |
415 | |
416 | for(iGL=0; iGL < iGLEnd; iGL++) |
417 | { |
418 | CDim[iGL] = 0.0; |
419 | for(iL=1; iL<=NbLGaussP[iGL]; iL++) |
420 | { |
421 | l = lm + lr*(*LGaussP[iGL])(iL); |
422 | if(isNaturalRestriction) |
423 | { |
424 | v = l; u2 = BU2; Dul = (*LGaussW[iGL])(iL); |
425 | } |
426 | else |
427 | { |
428 | S.D12d (l, Puv, Vuv); |
429 | Dul = Vuv.Y()*(*LGaussW[iGL])(iL); // Dul = Du / Dl |
430 | if(Abs(Dul) < EPS_PARAM) |
431 | continue; |
432 | |
433 | v = Puv.Y(); |
434 | u2 = Puv.X(); |
435 | //Check on cause out off bounds of value current parameter |
436 | if(v < BV1) |
437 | v = BV1; |
438 | else if(v > BV2) |
439 | v = BV2; |
440 | |
441 | if(u2 < BU1) |
442 | u2 = BU1; |
443 | else if(u2 > BU2) |
444 | u2 = BU2; |
445 | } |
446 | |
447 | ErrUL(iLS) = 0.0; |
448 | kUEnd = 1; |
449 | JU = 0; |
450 | |
451 | if(Abs(u2-u1) < EPS_PARAM) |
452 | continue; |
453 | |
454 | iUSubEnd = UFillIntervalBounds(u1, u2, UKnots, NumSubs); |
455 | UMaxSubs = MaxSubs(iUSubEnd); |
456 | if(UMaxSubs > DimU.Vector()->Upper()) |
457 | UMaxSubs = DimU.Vector()->Upper(); |
458 | |
459 | DimU.Init(0.0,1,UMaxSubs); ErrU.Init(0.0,1,UMaxSubs); ErrorU = 0.0; |
460 | |
461 | do{//while: U |
462 | if(++JU > iUSubEnd) |
463 | { |
464 | URange[0] = IU = ErrU->Max(); |
465 | URange[1] = JU; |
466 | U1(JU) = (U1(IU)+U2(IU))/2.0; |
467 | U2(JU) = U2(IU); |
468 | U2(IU) = U1(JU); |
469 | } |
470 | else |
471 | URange[0] = IU = JU; |
472 | |
473 | if(JU == UMaxSubs || Abs(U2(JU) - U1(JU)) < EPS_PARAM) |
474 | if(kUEnd == 1) |
475 | { |
476 | DimU(JU) = ErrU(JU) = IxU(JU) = IyU(JU) = IzU(JU) = |
477 | IxxU(JU) = IyyU(JU) = IzzU(JU) = IxyU(JU) = IxzU(JU) = IyzU(JU) = 0.0; |
478 | }else |
479 | { |
480 | JU--; |
481 | EpsU = ErrorU; Eps = EpsU*Abs((u2-u1)*Dul)/0.1; EpsL = 0.9*Eps; |
482 | break; |
483 | } |
484 | else |
485 | for(kU=0; kU < kUEnd; kU++) |
486 | { |
487 | iUS = URange[kU]; |
488 | um = 0.5*(U2(iUS) + U1(iUS)); |
489 | ur = 0.5*(U2(iUS) - U1(iUS)); |
490 | LocIx = LocIy = LocIz = LocIxx = LocIyy = LocIzz = LocIxy = LocIxz = LocIyz = 0.0; |
491 | iGUEnd = iGLEnd - iGL; |
492 | for(iGU=0; iGU < iGUEnd; iGU++) |
493 | { |
494 | LocDim[iGU] = 0.0; |
495 | for(iU=1; iU <= NbUGaussP[iGU]; iU++) |
496 | { |
497 | u = um + ur*(*UGaussP[iGU])(iU); |
498 | S.Normal(u, v, Ps, VNor); |
499 | ds = VNor.Magnitude(); //Jacobien(x,y,z) -> (u,v)=||n|| |
500 | ds *= (*UGaussW[iGU])(iU); |
501 | LocDim[iGU] += ds; |
502 | |
503 | if(iGU > 0) |
504 | continue; |
505 | |
506 | Ps.Coord(x, y, z); |
507 | x = FuncAdd(x, -xloc); |
508 | y = FuncAdd(y, -yloc); |
509 | z = FuncAdd(z, -zloc); |
510 | |
511 | const Standard_Real XdS = FuncMul(x, ds); |
512 | const Standard_Real YdS = FuncMul(y, ds); |
513 | const Standard_Real ZdS = FuncMul(z, ds); |
514 | |
515 | LocIx = FuncAdd(LocIx, XdS); |
516 | LocIy = FuncAdd(LocIy, YdS); |
517 | LocIz = FuncAdd(LocIz, ZdS); |
518 | LocIxy = FuncAdd(LocIxy, FuncMul(x, YdS)); |
519 | LocIyz = FuncAdd(LocIyz, FuncMul(y, ZdS)); |
520 | LocIxz = FuncAdd(LocIxz, FuncMul(x, ZdS)); |
a24c75d9 |
521 | |
522 | const Standard_Real XXdS = FuncMul(x, XdS); |
523 | const Standard_Real YYdS = FuncMul(y, YdS); |
524 | const Standard_Real ZZdS = FuncMul(z, ZdS); |
525 | |
526 | LocIxx = FuncAdd(LocIxx, FuncAdd(YYdS, ZZdS)); |
527 | LocIyy = FuncAdd(LocIyy, FuncAdd(XXdS, ZZdS)); |
528 | LocIzz = FuncAdd(LocIzz, FuncAdd(XXdS, YYdS)); |
c63628e8 |
529 | }//for: iU |
530 | }//for: iGU |
531 | |
532 | DimU(iUS) = FuncMul(LocDim[0],ur); |
533 | if(iGL > 0) |
534 | continue; |
535 | |
536 | ErrU(iUS) = FuncMul(Abs(LocDim[1]-LocDim[0]), ur); |
537 | IxU(iUS) = FuncMul(LocIx, ur); |
538 | IyU(iUS) = FuncMul(LocIy, ur); |
539 | IzU(iUS) = FuncMul(LocIz, ur); |
540 | IxxU(iUS) = FuncMul(LocIxx, ur); |
541 | IyyU(iUS) = FuncMul(LocIyy, ur); |
542 | IzzU(iUS) = FuncMul(LocIzz, ur); |
543 | IxyU(iUS) = FuncMul(LocIxy, ur); |
544 | IxzU(iUS) = FuncMul(LocIxz, ur); |
545 | IyzU(iUS) = FuncMul(LocIyz, ur); |
546 | }//for: kU (iUS) |
547 | |
548 | if(JU == iUSubEnd) |
549 | kUEnd = 2; |
550 | |
551 | if(kUEnd == 2) |
552 | ErrorU = ErrU(ErrU->Max()); |
553 | }while((ErrorU - EpsU > 0.0 && EpsU != 0.0) || kUEnd == 1); |
554 | |
555 | for(i=1; i<=JU; i++) |
556 | CDim[iGL] = FuncAdd(CDim[iGL], FuncMul(DimU(i), Dul)); |
557 | |
558 | if(iGL > 0) |
559 | continue; |
560 | |
561 | ErrUL(iLS) = ErrorU*Abs((u2-u1)*Dul); |
562 | for(i=1; i<=JU; i++) |
563 | { |
564 | CIx = FuncAdd(CIx, FuncMul(IxU(i), Dul)); |
565 | CIy = FuncAdd(CIy, FuncMul(IyU(i), Dul)); |
566 | CIz = FuncAdd(CIz, FuncMul(IzU(i), Dul)); |
567 | CIxx = FuncAdd(CIxx, FuncMul(IxxU(i), Dul)); |
568 | CIyy = FuncAdd(CIyy, FuncMul(IyyU(i), Dul)); |
569 | CIzz = FuncAdd(CIzz, FuncMul(IzzU(i), Dul)); |
570 | CIxy = FuncAdd(CIxy, FuncMul(IxyU(i), Dul)); |
571 | CIxz = FuncAdd(CIxz, FuncMul(IxzU(i), Dul)); |
572 | CIyz = FuncAdd(CIyz, FuncMul(IyzU(i), Dul)); |
573 | } |
574 | }//for: iL |
575 | }//for: iGL |
576 | |
577 | DimL(iLS) = FuncMul(CDim[0], lr); |
578 | if(iGLEnd == 2) |
579 | ErrL(iLS) = FuncAdd(FuncMul(Abs(CDim[1]-CDim[0]),lr), ErrUL(iLS)); |
580 | |
581 | IxL(iLS) = FuncMul(CIx, lr); |
582 | IyL(iLS) = FuncMul(CIy, lr); |
583 | IzL(iLS) = FuncMul(CIz, lr); |
584 | IxxL(iLS) = FuncMul(CIxx, lr); |
585 | IyyL(iLS) = FuncMul(CIyy, lr); |
586 | IzzL(iLS) = FuncMul(CIzz, lr); |
587 | IxyL(iLS) = FuncMul(CIxy, lr); |
588 | IxzL(iLS) = FuncMul(CIxz, lr); |
589 | IyzL(iLS) = FuncMul(CIyz, lr); |
590 | }//for: (kL)iLS |
591 | // Calculate/correct epsilon of computation by current value of Dim |
592 | //That is need for not spend time for |
593 | if(JL == iLSubEnd) |
594 | { |
595 | kLEnd = 2; |
596 | Standard_Real DDim = 0.0; |
597 | for(i=1; i<=JL; i++) |
598 | DDim += DimL(i); |
599 | |
600 | DDim = Abs(DDim*EpsDim); |
601 | if(DDim > Eps) |
602 | { |
603 | Eps = DDim; |
604 | EpsL = 0.9*Eps; |
605 | } |
606 | } |
607 | |
608 | if(kLEnd == 2) |
609 | ErrorL = ErrL(ErrL->Max()); |
610 | }while((ErrorL - EpsL > 0.0 && isVerifyComputation) || kLEnd == 1); |
611 | |
612 | for(i=1; i<=JL; i++) |
613 | { |
614 | Dim = FuncAdd(Dim, DimL(i)); |
615 | Ix = FuncAdd(Ix, IxL(i)); |
616 | Iy = FuncAdd(Iy, IyL(i)); |
617 | Iz = FuncAdd(Iz, IzL(i)); |
618 | Ixx = FuncAdd(Ixx, IxxL(i)); |
619 | Iyy = FuncAdd(Iyy, IyyL(i)); |
620 | Izz = FuncAdd(Izz, IzzL(i)); |
621 | Ixy = FuncAdd(Ixy, IxyL(i)); |
622 | Ixz = FuncAdd(Ixz, IxzL(i)); |
623 | Iyz = FuncAdd(Iyz, IyzL(i)); |
624 | } |
625 | |
626 | ErrorLMax = Max(ErrorLMax, ErrorL); |
7fd59977 |
627 | } |
c63628e8 |
628 | |
629 | if(isNaturalRestriction) |
630 | break; |
631 | |
632 | D.Next(); |
7fd59977 |
633 | } |
7fd59977 |
634 | |
c63628e8 |
635 | if(Abs(Dim) >= EPS_DIM) |
636 | { |
637 | Ix /= Dim; |
638 | Iy /= Dim; |
639 | Iz /= Dim; |
640 | g.SetCoord (Ix, Iy, Iz); |
641 | } |
642 | else |
643 | { |
644 | Dim =0.0; |
645 | g.SetCoord (0., 0.,0.); |
646 | } |
647 | |
648 | inertia = gp_Mat (gp_XYZ (Ixx, -Ixy, -Ixz), |
649 | gp_XYZ (-Ixy, Iyy, -Iyz), |
650 | gp_XYZ (-Ixz, -Iyz, Izz)); |
651 | |
652 | if(iGLEnd == 2) |
653 | Eps = Dim != 0.0? ErrorLMax/Abs(Dim): 0.0; |
654 | else |
655 | Eps = EpsDim; |
656 | |
657 | return Eps; |
7fd59977 |
658 | } |
659 | |
660 | static Standard_Real Compute(Face& S, const gp_Pnt& loc, Standard_Real& Dim, gp_Pnt& g, gp_Mat& inertia, |
c63628e8 |
661 | Standard_Real EpsDim) |
7fd59977 |
662 | { |
663 | Standard_Boolean isErrorCalculation = 0.0 > EpsDim || EpsDim < 0.001? 1: 0; |
664 | Standard_Boolean isVerifyComputation = 0.0 < EpsDim && EpsDim < 0.001? 1: 0; |
665 | EpsDim = Abs(EpsDim); |
666 | Domain D; |
667 | return CCompute(S,D,loc,Dim,g,inertia,EpsDim,isErrorCalculation,isVerifyComputation); |
668 | } |
669 | |
670 | static Standard_Real Compute(Face& S, Domain& D, const gp_Pnt& loc, Standard_Real& Dim, gp_Pnt& g, gp_Mat& inertia, |
c63628e8 |
671 | Standard_Real EpsDim) |
7fd59977 |
672 | { |
673 | Standard_Boolean isErrorCalculation = 0.0 > EpsDim || EpsDim < 0.001? 1: 0; |
674 | Standard_Boolean isVerifyComputation = 0.0 < EpsDim && EpsDim < 0.001? 1: 0; |
675 | EpsDim = Abs(EpsDim); |
676 | return CCompute(S,D,loc,Dim,g,inertia,EpsDim,isErrorCalculation,isVerifyComputation); |
677 | } |
678 | |
c63628e8 |
679 | static void Compute(Face& S, Domain& D, const gp_Pnt& loc, Standard_Real& dim, gp_Pnt& g, gp_Mat& inertia) |
680 | { |
681 | Standard_Real (*FuncAdd)(Standard_Real, Standard_Real); |
682 | Standard_Real (*FuncMul)(Standard_Real, Standard_Real); |
7fd59977 |
683 | |
c63628e8 |
684 | FuncAdd = Addition; |
685 | FuncMul = Multiplication; |
7fd59977 |
686 | |
c63628e8 |
687 | Standard_Real Ix, Iy, Iz, Ixx, Iyy, Izz, Ixy, Ixz, Iyz; |
688 | dim = Ix = Iy = Iz = Ixx = Iyy = Izz = Ixy = Ixz = Iyz = 0.0; |
7fd59977 |
689 | |
c63628e8 |
690 | Standard_Real x, y, z; |
691 | Standard_Integer NbCGaussgp_Pnts = 0; |
7fd59977 |
692 | |
c63628e8 |
693 | Standard_Real l1, l2, lm, lr, l; //boundary curve parametrization |
96a95605 |
694 | Standard_Real v1, v2, v; //Face parametrization in v direction |
c63628e8 |
695 | Standard_Real u1, u2, um, ur, u; |
696 | Standard_Real ds; //Jacobien (x, y, z) -> (u, v) = ||n|| |
7fd59977 |
697 | |
c63628e8 |
698 | gp_Pnt P; //On the Face |
699 | gp_Vec VNor; |
7fd59977 |
700 | |
c63628e8 |
701 | gp_Pnt2d Puv; //On the boundary curve u-v |
702 | gp_Vec2d Vuv; |
703 | Standard_Real Dul; // Dul = Du / Dl |
704 | Standard_Real CArea, CIx, CIy, CIz, CIxx, CIyy, CIzz, CIxy, CIxz, CIyz; |
705 | Standard_Real LocArea, LocIx, LocIy, LocIz, LocIxx, LocIyy, LocIzz, LocIxy, |
706 | LocIxz, LocIyz; |
7fd59977 |
707 | |
7fd59977 |
708 | |
c63628e8 |
709 | S.Bounds (u1, u2, v1, v2); |
7fd59977 |
710 | |
c63628e8 |
711 | if(Precision::IsInfinite(u1) || Precision::IsInfinite(u2) || |
712 | Precision::IsInfinite(v1) || Precision::IsInfinite(v2)) |
713 | { |
714 | FuncAdd = AdditionInf; |
715 | FuncMul = MultiplicationInf; |
716 | } |
7fd59977 |
717 | |
718 | |
c63628e8 |
719 | Standard_Integer NbUGaussgp_Pnts = Min(S.UIntegrationOrder (), |
720 | math::GaussPointsMax()); |
721 | Standard_Integer NbVGaussgp_Pnts = Min(S.VIntegrationOrder (), |
722 | math::GaussPointsMax()); |
7fd59977 |
723 | |
c63628e8 |
724 | Standard_Integer NbGaussgp_Pnts = Max(NbUGaussgp_Pnts, NbVGaussgp_Pnts); |
7fd59977 |
725 | |
c63628e8 |
726 | //Number of Gauss points for the integration |
727 | //on the Face |
728 | math_Vector GaussSPV (1, NbGaussgp_Pnts); |
729 | math_Vector GaussSWV (1, NbGaussgp_Pnts); |
730 | math::GaussPoints (NbGaussgp_Pnts,GaussSPV); |
731 | math::GaussWeights (NbGaussgp_Pnts,GaussSWV); |
732 | |
733 | |
734 | //location point used to compute the inertia |
735 | Standard_Real xloc, yloc, zloc; |
736 | loc.Coord (xloc, yloc, zloc); |
737 | |
738 | while (D.More()) { |
739 | |
740 | S.Load(D.Value()); |
741 | NbCGaussgp_Pnts = Min(S.IntegrationOrder (), math::GaussPointsMax()); |
742 | |
743 | math_Vector GaussCP (1, NbCGaussgp_Pnts); |
744 | math_Vector GaussCW (1, NbCGaussgp_Pnts); |
745 | math::GaussPoints (NbCGaussgp_Pnts,GaussCP); |
746 | math::GaussWeights (NbCGaussgp_Pnts,GaussCW); |
747 | |
748 | CArea = 0.0; |
749 | CIx = CIy = CIz = CIxx = CIyy = CIzz = CIxy = CIxz = CIyz = 0.0; |
750 | l1 = S.FirstParameter (); |
751 | l2 = S.LastParameter (); |
752 | lm = 0.5 * (l2 + l1); |
753 | lr = 0.5 * (l2 - l1); |
754 | |
c63628e8 |
755 | for (Standard_Integer i = 1; i <= NbCGaussgp_Pnts; i++) { |
756 | l = lm + lr * GaussCP (i); |
757 | S.D12d(l, Puv, Vuv); |
758 | v = Puv.Y(); |
759 | u2 = Puv.X(); |
760 | Dul = Vuv.Y(); |
761 | Dul *= GaussCW (i); |
762 | um = 0.5 * (u2 + u1); |
763 | ur = 0.5 * (u2 - u1); |
764 | LocArea = LocIx = LocIy = LocIz = LocIxx = LocIyy = LocIzz = |
7fd59977 |
765 | LocIxy = LocIxz = LocIyz = 0.0; |
c63628e8 |
766 | for (Standard_Integer j = 1; j <= NbGaussgp_Pnts; j++) { |
767 | u = FuncAdd(um, FuncMul(ur, GaussSPV (j))); |
768 | S.Normal (u, v, P, VNor); |
769 | ds = VNor.Magnitude(); //normal.Magnitude |
770 | ds = FuncMul(ds, Dul) * GaussSWV (j); |
771 | LocArea = FuncAdd(LocArea, ds); |
772 | P.Coord (x, y, z); |
773 | |
774 | x = FuncAdd(x, -xloc); |
775 | y = FuncAdd(y, -yloc); |
776 | z = FuncAdd(z, -zloc); |
777 | |
778 | const Standard_Real XdS = FuncMul(x, ds); |
779 | const Standard_Real YdS = FuncMul(y, ds); |
780 | const Standard_Real ZdS = FuncMul(z, ds); |
781 | |
782 | LocIx = FuncAdd(LocIx, XdS); |
783 | LocIy = FuncAdd(LocIy, YdS); |
784 | LocIz = FuncAdd(LocIz, ZdS); |
785 | LocIxy = FuncAdd(LocIxy, FuncMul(x, YdS)); |
786 | LocIyz = FuncAdd(LocIyz, FuncMul(y, ZdS)); |
787 | LocIxz = FuncAdd(LocIxz, FuncMul(x, ZdS)); |
a24c75d9 |
788 | |
789 | const Standard_Real XXdS = FuncMul(x, XdS); |
790 | const Standard_Real YYdS = FuncMul(y, YdS); |
791 | const Standard_Real ZZdS = FuncMul(z, ZdS); |
792 | |
793 | LocIxx = FuncAdd(LocIxx, FuncAdd(YYdS, ZZdS)); |
794 | LocIyy = FuncAdd(LocIyy, FuncAdd(XXdS, ZZdS)); |
795 | LocIzz = FuncAdd(LocIzz, FuncAdd(XXdS, YYdS)); |
7fd59977 |
796 | } |
c63628e8 |
797 | |
798 | CArea = FuncAdd(CArea, FuncMul(LocArea, ur)); |
799 | CIx = FuncAdd(CIx, FuncMul(LocIx, ur)); |
800 | CIy = FuncAdd(CIy, FuncMul(LocIy, ur)); |
801 | CIz = FuncAdd(CIz, FuncMul(LocIz, ur)); |
802 | CIxx = FuncAdd(CIxx, FuncMul(LocIxx, ur)); |
803 | CIyy = FuncAdd(CIyy, FuncMul(LocIyy, ur)); |
804 | CIzz = FuncAdd(CIzz, FuncMul(LocIzz, ur)); |
805 | CIxy = FuncAdd(CIxy, FuncMul(LocIxy, ur)); |
806 | CIxz = FuncAdd(CIxz, FuncMul(LocIxz, ur)); |
807 | CIyz = FuncAdd(CIyz, FuncMul(LocIyz, ur)); |
808 | } |
809 | |
810 | dim = FuncAdd(dim, FuncMul(CArea, lr)); |
811 | Ix = FuncAdd(Ix, FuncMul(CIx, lr)); |
812 | Iy = FuncAdd(Iy, FuncMul(CIy, lr)); |
813 | Iz = FuncAdd(Iz, FuncMul(CIz, lr)); |
814 | Ixx = FuncAdd(Ixx, FuncMul(CIxx, lr)); |
815 | Iyy = FuncAdd(Iyy, FuncMul(CIyy, lr)); |
816 | Izz = FuncAdd(Izz, FuncMul(CIzz, lr)); |
817 | Ixy = FuncAdd(Ixy, FuncMul(CIxy, lr)); |
818 | Ixz = FuncAdd(Iyz, FuncMul(CIxz, lr)); |
819 | Iyz = FuncAdd(Ixz, FuncMul(CIyz, lr)); |
820 | D.Next(); |
821 | } |
822 | |
823 | if (Abs(dim) >= EPS_DIM) { |
824 | Ix /= dim; |
825 | Iy /= dim; |
826 | Iz /= dim; |
827 | g.SetCoord (Ix, Iy, Iz); |
828 | } |
829 | else { |
830 | dim =0.; |
831 | g.SetCoord (0., 0.,0.); |
832 | } |
833 | |
834 | inertia = gp_Mat (gp_XYZ (Ixx, -Ixy, -Ixz), |
835 | gp_XYZ (-Ixy, Iyy, -Iyz), |
836 | gp_XYZ (-Ixz, -Iyz, Izz)); |
7fd59977 |
837 | } |
838 | |
c63628e8 |
839 | static void Compute(const Face& S, |
840 | const gp_Pnt& loc, |
841 | Standard_Real& dim, |
842 | gp_Pnt& g, |
843 | gp_Mat& inertia) |
844 | { |
845 | Standard_Real (*FuncAdd)(Standard_Real, Standard_Real); |
846 | Standard_Real (*FuncMul)(Standard_Real, Standard_Real); |
847 | |
848 | FuncAdd = Addition; |
849 | FuncMul = Multiplication; |
850 | |
851 | Standard_Real Ix, Iy, Iz, Ixx, Iyy, Izz, Ixy, Ixz, Iyz; |
852 | dim = Ix = Iy = Iz = Ixx = Iyy = Izz = Ixy = Ixz = Iyz = 0.0; |
853 | |
854 | Standard_Real LowerU, UpperU, LowerV, UpperV; |
855 | S.Bounds (LowerU, UpperU, LowerV, UpperV); |
856 | |
857 | if(Precision::IsInfinite(LowerU) || Precision::IsInfinite(UpperU) || |
858 | Precision::IsInfinite(LowerV) || Precision::IsInfinite(UpperV)) |
859 | { |
860 | FuncAdd = AdditionInf; |
861 | FuncMul = MultiplicationInf; |
862 | } |
7fd59977 |
863 | |
c63628e8 |
864 | Standard_Integer UOrder = Min(S.UIntegrationOrder (), |
865 | math::GaussPointsMax()); |
866 | Standard_Integer VOrder = Min(S.VIntegrationOrder (), |
867 | math::GaussPointsMax()); |
868 | gp_Pnt P; |
869 | gp_Vec VNor; |
870 | Standard_Real dsi, ds; |
871 | Standard_Real ur, um, u, vr, vm, v; |
872 | Standard_Real x, y, z; |
873 | Standard_Real Ixi, Iyi, Izi, Ixxi, Iyyi, Izzi, Ixyi, Ixzi, Iyzi; |
874 | Standard_Real xloc, yloc, zloc; |
875 | loc.Coord (xloc, yloc, zloc); |
876 | |
877 | Standard_Integer i, j; |
878 | math_Vector GaussPU (1, UOrder); //gauss points and weights |
879 | math_Vector GaussWU (1, UOrder); |
880 | math_Vector GaussPV (1, VOrder); |
881 | math_Vector GaussWV (1, VOrder); |
882 | |
883 | //Recuperation des points de Gauss dans le fichier GaussPoints. |
884 | math::GaussPoints (UOrder,GaussPU); |
885 | math::GaussWeights (UOrder,GaussWU); |
886 | math::GaussPoints (VOrder,GaussPV); |
887 | math::GaussWeights (VOrder,GaussWV); |
888 | |
889 | // Calcul des integrales aux points de gauss : |
890 | um = 0.5 * FuncAdd(UpperU, LowerU); |
891 | vm = 0.5 * FuncAdd(UpperV, LowerV); |
892 | ur = 0.5 * FuncAdd(UpperU, -LowerU); |
893 | vr = 0.5 * FuncAdd(UpperV, -LowerV); |
894 | |
895 | for (j = 1; j <= VOrder; j++) { |
896 | v = FuncAdd(vm, FuncMul(vr, GaussPV(j))); |
897 | dsi = Ixi = Iyi = Izi = Ixxi = Iyyi = Izzi = Ixyi = Ixzi = Iyzi = 0.0; |
898 | |
899 | for (i = 1; i <= UOrder; i++) { |
900 | u = FuncAdd(um, FuncMul(ur, GaussPU (i))); |
901 | S.Normal (u, v, P, VNor); |
902 | ds = FuncMul(VNor.Magnitude(), GaussWU (i)); |
903 | P.Coord (x, y, z); |
904 | |
905 | x = FuncAdd(x, -xloc); |
906 | y = FuncAdd(y, -yloc); |
907 | z = FuncAdd(z, -zloc); |
908 | |
909 | dsi = FuncAdd(dsi, ds); |
910 | |
911 | const Standard_Real XdS = FuncMul(x, ds); |
912 | const Standard_Real YdS = FuncMul(y, ds); |
913 | const Standard_Real ZdS = FuncMul(z, ds); |
914 | |
915 | Ixi = FuncAdd(Ixi, XdS); |
916 | Iyi = FuncAdd(Iyi, YdS); |
917 | Izi = FuncAdd(Izi, ZdS); |
918 | Ixyi = FuncAdd(Ixyi, FuncMul(x, YdS)); |
919 | Iyzi = FuncAdd(Iyzi, FuncMul(y, ZdS)); |
920 | Ixzi = FuncAdd(Ixzi, FuncMul(x, ZdS)); |
a24c75d9 |
921 | |
922 | const Standard_Real XXdS = FuncMul(x, XdS); |
923 | const Standard_Real YYdS = FuncMul(y, YdS); |
924 | const Standard_Real ZZdS = FuncMul(z, ZdS); |
925 | |
926 | Ixxi = FuncAdd(Ixxi, FuncAdd(YYdS, ZZdS)); |
927 | Iyyi = FuncAdd(Iyyi, FuncAdd(XXdS, ZZdS)); |
928 | Izzi = FuncAdd(Izzi, FuncAdd(XXdS, YYdS)); |
c63628e8 |
929 | } |
930 | |
931 | dim = FuncAdd(dim, FuncMul(dsi, GaussWV (j))); |
932 | Ix = FuncAdd(Ix, FuncMul(Ixi, GaussWV (j))); |
933 | Iy = FuncAdd(Iy, FuncMul(Iyi, GaussWV (j))); |
934 | Iz = FuncAdd(Iz, FuncMul(Izi, GaussWV (j))); |
935 | Ixx = FuncAdd(Ixx, FuncMul(Ixxi, GaussWV (j))); |
936 | Iyy = FuncAdd(Iyy, FuncMul(Iyyi, GaussWV (j))); |
937 | Izz = FuncAdd(Izz, FuncMul(Izzi, GaussWV (j))); |
938 | Ixy = FuncAdd(Ixy, FuncMul(Ixyi, GaussWV (j))); |
939 | Iyz = FuncAdd(Iyz, FuncMul(Iyzi, GaussWV (j))); |
940 | Ixz = FuncAdd(Ixz, FuncMul(Ixzi, GaussWV (j))); |
941 | } |
942 | |
943 | vr = FuncMul(vr, ur); |
944 | Ixx = FuncMul(vr, Ixx); |
945 | Iyy = FuncMul(vr, Iyy); |
946 | Izz = FuncMul(vr, Izz); |
947 | Ixy = FuncMul(vr, Ixy); |
948 | Ixz = FuncMul(vr, Ixz); |
949 | Iyz = FuncMul(vr, Iyz); |
950 | |
951 | if (Abs(dim) >= EPS_DIM) |
952 | { |
953 | Ix /= dim; |
954 | Iy /= dim; |
955 | Iz /= dim; |
956 | dim *= vr; |
957 | g.SetCoord (Ix, Iy, Iz); |
958 | } |
959 | else |
960 | { |
961 | dim =0.; |
962 | g.SetCoord (0.,0.,0.); |
963 | } |
964 | |
965 | inertia = gp_Mat (gp_XYZ ( Ixx, -Ixy, -Ixz), |
966 | gp_XYZ (-Ixy, Iyy, -Iyz), |
967 | gp_XYZ (-Ixz, -Iyz, Izz)); |
7fd59977 |
968 | } |
969 | |
970 | GProp_SGProps::GProp_SGProps(){} |
971 | |
972 | GProp_SGProps::GProp_SGProps (const Face& S, |
c63628e8 |
973 | const gp_Pnt& SLocation |
974 | ) |
7fd59977 |
975 | { |
c63628e8 |
976 | SetLocation(SLocation); |
977 | Perform(S); |
7fd59977 |
978 | } |
979 | |
980 | GProp_SGProps::GProp_SGProps (Face& S, |
981 | Domain& D, |
c63628e8 |
982 | const gp_Pnt& SLocation |
983 | ) |
7fd59977 |
984 | { |
c63628e8 |
985 | SetLocation(SLocation); |
986 | Perform(S,D); |
7fd59977 |
987 | } |
988 | |
989 | GProp_SGProps::GProp_SGProps(Face& S, const gp_Pnt& SLocation, const Standard_Real Eps){ |
990 | SetLocation(SLocation); |
991 | Perform(S, Eps); |
992 | } |
993 | |
994 | GProp_SGProps::GProp_SGProps(Face& S, Domain& D, const gp_Pnt& SLocation, const Standard_Real Eps){ |
995 | SetLocation(SLocation); |
996 | Perform(S, D, Eps); |
997 | } |
998 | |
999 | void GProp_SGProps::SetLocation(const gp_Pnt& SLocation){ |
1000 | loc = SLocation; |
1001 | } |
1002 | |
1003 | void GProp_SGProps::Perform(const Face& S){ |
1004 | Compute(S,loc,dim,g,inertia); |
1005 | myEpsilon = 1.0; |
1006 | return; |
1007 | } |
1008 | |
1009 | void GProp_SGProps::Perform(Face& S, Domain& D){ |
1010 | Compute(S,D,loc,dim,g,inertia); |
1011 | myEpsilon = 1.0; |
1012 | return; |
1013 | } |
1014 | |
1015 | Standard_Real GProp_SGProps::Perform(Face& S, const Standard_Real Eps){ |
1016 | return myEpsilon = Compute(S,loc,dim,g,inertia,Eps); |
1017 | } |
1018 | |
1019 | Standard_Real GProp_SGProps::Perform(Face& S, Domain& D, const Standard_Real Eps){ |
1020 | return myEpsilon = Compute(S,D,loc,dim,g,inertia,Eps); |
1021 | } |
1022 | |
1023 | |
1024 | Standard_Real GProp_SGProps::GetEpsilon(){ |
1025 | return myEpsilon; |
1026 | } |