| 1 | // Created on: 2005-12-09 |
| 2 | // Created by: Sergey KHROMOV |
| 3 | // Copyright (c) 2005-2014 OPEN CASCADE SAS |
| 4 | // |
| 5 | // This file is part of Open CASCADE Technology software library. |
| 6 | // |
| 7 | // This library is free software; you can redistribute it and/or modify it under |
| 8 | // the terms of the GNU Lesser General Public License version 2.1 as published |
| 9 | // by the Free Software Foundation, with special exception defined in the file |
| 10 | // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT |
| 11 | // distribution for complete text of the license and disclaimer of any warranty. |
| 12 | // |
| 13 | // Alternatively, this file may be used under the terms of Open CASCADE |
| 14 | // commercial license or contractual agreement. |
| 15 | |
| 16 | |
| 17 | #include <BRepGProp_Domain.hxx> |
| 18 | #include <BRepGProp_Face.hxx> |
| 19 | #include <BRepGProp_TFunction.hxx> |
| 20 | #include <BRepGProp_VinertGK.hxx> |
| 21 | #include <gp_Pln.hxx> |
| 22 | #include <gp_Pnt.hxx> |
| 23 | #include <math_KronrodSingleIntegration.hxx> |
| 24 | #include <TColStd_Array1OfBoolean.hxx> |
| 25 | #include <TColStd_HArray1OfReal.hxx> |
| 26 | |
| 27 | //========================================================================== |
| 28 | //function : Constructor |
| 29 | //========================================================================== |
| 30 | BRepGProp_VinertGK::BRepGProp_VinertGK(BRepGProp_Face &theSurface, |
| 31 | const gp_Pnt &theLocation, |
| 32 | const Standard_Real theTolerance, |
| 33 | const Standard_Boolean theCGFlag, |
| 34 | const Standard_Boolean theIFlag): |
| 35 | myErrorReached(0.) |
| 36 | { |
| 37 | SetLocation(theLocation); |
| 38 | Perform(theSurface, theTolerance, theCGFlag, theIFlag); |
| 39 | } |
| 40 | |
| 41 | //========================================================================== |
| 42 | //function : Constructor |
| 43 | // |
| 44 | //========================================================================== |
| 45 | |
| 46 | BRepGProp_VinertGK::BRepGProp_VinertGK( BRepGProp_Face &theSurface, |
| 47 | const gp_Pnt &thePoint, |
| 48 | const gp_Pnt &theLocation, |
| 49 | const Standard_Real theTolerance, |
| 50 | const Standard_Boolean theCGFlag, |
| 51 | const Standard_Boolean theIFlag): |
| 52 | myErrorReached(0.) |
| 53 | { |
| 54 | SetLocation(theLocation); |
| 55 | Perform(theSurface, thePoint, theTolerance, theCGFlag, theIFlag); |
| 56 | } |
| 57 | |
| 58 | //========================================================================== |
| 59 | //function : Constructor |
| 60 | // |
| 61 | //========================================================================== |
| 62 | |
| 63 | BRepGProp_VinertGK::BRepGProp_VinertGK(BRepGProp_Face &theSurface, |
| 64 | BRepGProp_Domain &theDomain, |
| 65 | const gp_Pnt &theLocation, |
| 66 | const Standard_Real theTolerance, |
| 67 | const Standard_Boolean theCGFlag, |
| 68 | const Standard_Boolean theIFlag): |
| 69 | myErrorReached(0.) |
| 70 | { |
| 71 | SetLocation(theLocation); |
| 72 | Perform(theSurface, theDomain, theTolerance, theCGFlag, theIFlag); |
| 73 | } |
| 74 | |
| 75 | //========================================================================== |
| 76 | //function : Constructor |
| 77 | // |
| 78 | //========================================================================== |
| 79 | |
| 80 | BRepGProp_VinertGK::BRepGProp_VinertGK(BRepGProp_Face &theSurface, |
| 81 | BRepGProp_Domain &theDomain, |
| 82 | const gp_Pnt &thePoint, |
| 83 | const gp_Pnt &theLocation, |
| 84 | const Standard_Real theTolerance, |
| 85 | const Standard_Boolean theCGFlag, |
| 86 | const Standard_Boolean theIFlag): |
| 87 | myErrorReached(0.) |
| 88 | { |
| 89 | SetLocation(theLocation); |
| 90 | Perform(theSurface, theDomain, thePoint, theTolerance, theCGFlag, theIFlag); |
| 91 | } |
| 92 | |
| 93 | //========================================================================== |
| 94 | //function : Constructor |
| 95 | // |
| 96 | //========================================================================== |
| 97 | |
| 98 | BRepGProp_VinertGK::BRepGProp_VinertGK(BRepGProp_Face &theSurface, |
| 99 | const gp_Pln &thePlane, |
| 100 | const gp_Pnt &theLocation, |
| 101 | const Standard_Real theTolerance, |
| 102 | const Standard_Boolean theCGFlag, |
| 103 | const Standard_Boolean theIFlag): |
| 104 | myErrorReached(0.) |
| 105 | { |
| 106 | SetLocation(theLocation); |
| 107 | Perform(theSurface, thePlane, theTolerance, theCGFlag, theIFlag); |
| 108 | } |
| 109 | |
| 110 | //========================================================================== |
| 111 | //function : Constructor |
| 112 | // |
| 113 | //========================================================================== |
| 114 | |
| 115 | BRepGProp_VinertGK::BRepGProp_VinertGK(BRepGProp_Face &theSurface, |
| 116 | BRepGProp_Domain &theDomain, |
| 117 | const gp_Pln &thePlane, |
| 118 | const gp_Pnt &theLocation, |
| 119 | const Standard_Real theTolerance, |
| 120 | const Standard_Boolean theCGFlag, |
| 121 | const Standard_Boolean theIFlag): |
| 122 | myErrorReached(0.) |
| 123 | { |
| 124 | SetLocation(theLocation); |
| 125 | Perform(theSurface, theDomain, thePlane, theTolerance, theCGFlag, theIFlag); |
| 126 | } |
| 127 | |
| 128 | //========================================================================== |
| 129 | //function : Perform |
| 130 | // Compute the properties. |
| 131 | //========================================================================== |
| 132 | |
| 133 | Standard_Real BRepGProp_VinertGK::Perform(BRepGProp_Face &theSurface, |
| 134 | const Standard_Real theTolerance, |
| 135 | const Standard_Boolean theCGFlag, |
| 136 | const Standard_Boolean theIFlag) |
| 137 | |
| 138 | { |
| 139 | Standard_Real aShift[] = { 0., 0., 0. }; |
| 140 | |
| 141 | return PrivatePerform(theSurface, NULL, Standard_True, &aShift, theTolerance, |
| 142 | theCGFlag, theIFlag); |
| 143 | } |
| 144 | |
| 145 | //========================================================================== |
| 146 | //function : Perform |
| 147 | // Compute the properties. |
| 148 | //========================================================================== |
| 149 | |
| 150 | Standard_Real BRepGProp_VinertGK::Perform(BRepGProp_Face &theSurface, |
| 151 | const gp_Pnt &thePoint, |
| 152 | const Standard_Real theTolerance, |
| 153 | const Standard_Boolean theCGFlag, |
| 154 | const Standard_Boolean theIFlag) |
| 155 | |
| 156 | { |
| 157 | gp_XYZ aXYZ(thePoint.XYZ().Subtracted(loc.XYZ())); |
| 158 | Standard_Real aShift[3]; |
| 159 | |
| 160 | aXYZ.Coord(aShift[0], aShift[1], aShift[2]); |
| 161 | |
| 162 | return PrivatePerform(theSurface, NULL, Standard_True, &aShift, theTolerance, |
| 163 | theCGFlag, theIFlag); |
| 164 | } |
| 165 | |
| 166 | //========================================================================== |
| 167 | //function : Perform |
| 168 | // Compute the properties. |
| 169 | //========================================================================== |
| 170 | |
| 171 | Standard_Real BRepGProp_VinertGK::Perform(BRepGProp_Face &theSurface, |
| 172 | BRepGProp_Domain &theDomain, |
| 173 | const Standard_Real theTolerance, |
| 174 | const Standard_Boolean theCGFlag, |
| 175 | const Standard_Boolean theIFlag) |
| 176 | |
| 177 | { |
| 178 | Standard_Real aShift[] = { 0., 0., 0. }; |
| 179 | |
| 180 | return PrivatePerform(theSurface, &theDomain, |
| 181 | Standard_True, &aShift, theTolerance, |
| 182 | theCGFlag, theIFlag); |
| 183 | } |
| 184 | |
| 185 | //========================================================================== |
| 186 | //function : Perform |
| 187 | // Compute the properties. |
| 188 | //========================================================================== |
| 189 | |
| 190 | Standard_Real BRepGProp_VinertGK::Perform(BRepGProp_Face &theSurface, |
| 191 | BRepGProp_Domain &theDomain, |
| 192 | const gp_Pnt &thePoint, |
| 193 | const Standard_Real theTolerance, |
| 194 | const Standard_Boolean theCGFlag, |
| 195 | const Standard_Boolean theIFlag) |
| 196 | |
| 197 | { |
| 198 | gp_XYZ aXYZ(thePoint.XYZ().Subtracted(loc.XYZ())); |
| 199 | Standard_Real aShift[3]; |
| 200 | |
| 201 | aXYZ.Coord(aShift[0], aShift[1], aShift[2]); |
| 202 | |
| 203 | return PrivatePerform(theSurface, &theDomain, |
| 204 | Standard_True, &aShift, theTolerance, |
| 205 | theCGFlag, theIFlag); |
| 206 | } |
| 207 | |
| 208 | //========================================================================== |
| 209 | //function : Perform |
| 210 | // Compute the properties. |
| 211 | //========================================================================== |
| 212 | |
| 213 | Standard_Real BRepGProp_VinertGK::Perform(BRepGProp_Face &theSurface, |
| 214 | const gp_Pln &thePlane, |
| 215 | const Standard_Real theTolerance, |
| 216 | const Standard_Boolean theCGFlag, |
| 217 | const Standard_Boolean theIFlag) |
| 218 | |
| 219 | { |
| 220 | Standard_Real aCoeff[4]; |
| 221 | Standard_Real aXLoc; |
| 222 | Standard_Real aYLoc; |
| 223 | Standard_Real aZLoc; |
| 224 | |
| 225 | loc.Coord(aXLoc, aYLoc, aZLoc); |
| 226 | thePlane.Coefficients (aCoeff[0], aCoeff[1], aCoeff[2], aCoeff[3]); |
| 227 | aCoeff[3] = aCoeff[3] - aCoeff[0]*aXLoc - aCoeff[1]*aYLoc - aCoeff[2]*aZLoc; |
| 228 | |
| 229 | return PrivatePerform(theSurface, NULL, |
| 230 | Standard_False, &aCoeff, theTolerance, |
| 231 | theCGFlag, theIFlag); |
| 232 | } |
| 233 | |
| 234 | //========================================================================== |
| 235 | //function : Perform |
| 236 | // Compute the properties. |
| 237 | //========================================================================== |
| 238 | |
| 239 | Standard_Real BRepGProp_VinertGK::Perform(BRepGProp_Face &theSurface, |
| 240 | BRepGProp_Domain &theDomain, |
| 241 | const gp_Pln &thePlane, |
| 242 | const Standard_Real theTolerance, |
| 243 | const Standard_Boolean theCGFlag, |
| 244 | const Standard_Boolean theIFlag) |
| 245 | |
| 246 | { |
| 247 | Standard_Real aCoeff[4]; |
| 248 | Standard_Real aXLoc; |
| 249 | Standard_Real aYLoc; |
| 250 | Standard_Real aZLoc; |
| 251 | |
| 252 | loc.Coord(aXLoc, aYLoc, aZLoc); |
| 253 | thePlane.Coefficients (aCoeff[0], aCoeff[1], aCoeff[2], aCoeff[3]); |
| 254 | aCoeff[3] = aCoeff[3] - aCoeff[0]*aXLoc - aCoeff[1]*aYLoc - aCoeff[2]*aZLoc; |
| 255 | |
| 256 | return PrivatePerform(theSurface, &theDomain, |
| 257 | Standard_False, &aCoeff, theTolerance, |
| 258 | theCGFlag, theIFlag); |
| 259 | } |
| 260 | |
| 261 | //========================================================================== |
| 262 | //function : PrivatePerform |
| 263 | // Compute the properties. |
| 264 | //========================================================================== |
| 265 | |
| 266 | Standard_Real BRepGProp_VinertGK::PrivatePerform |
| 267 | (BRepGProp_Face &theSurface, |
| 268 | const Standard_Address thePtrDomain, |
| 269 | const Standard_Boolean IsByPoint, |
| 270 | const Standard_Address theCoeffs, |
| 271 | const Standard_Real theTolerance, |
| 272 | const Standard_Boolean theCGFlag, |
| 273 | const Standard_Boolean theIFlag) |
| 274 | |
| 275 | { |
| 276 | |
| 277 | const Standard_Real aTTol = 1.e-9; |
| 278 | Standard_Real *aCoeffs = (Standard_Real *)theCoeffs; |
| 279 | |
| 280 | // Compute the number of 2d bounding curves of the face. |
| 281 | BRepGProp_Domain *aPDomain = NULL; |
| 282 | Standard_Integer aNbCurves = 0; |
| 283 | |
| 284 | // If the pointer to the domain is NULL, there is only one curve to treat: |
| 285 | // U isoline with the UMax parameter. |
| 286 | if (thePtrDomain == NULL) |
| 287 | aNbCurves = 1; |
| 288 | else { |
| 289 | aPDomain = (BRepGProp_Domain *)thePtrDomain; |
| 290 | |
| 291 | for (aPDomain->Init(); aPDomain->More(); aPDomain->Next()) |
| 292 | aNbCurves++; |
| 293 | } |
| 294 | |
| 295 | if (aNbCurves == 0) { |
| 296 | myErrorReached = -1.; |
| 297 | |
| 298 | return myErrorReached; |
| 299 | } |
| 300 | |
| 301 | //Standard_Real aCrvTol = 0.5*theTolerance/aNbCurves; |
| 302 | Standard_Real aCrvTol = 0.1*theTolerance; |
| 303 | Standard_Real aUMin; |
| 304 | Standard_Real aUMax; |
| 305 | Standard_Real aTMin; |
| 306 | Standard_Real aTMax; |
| 307 | Standard_Integer aNbPnts; |
| 308 | Standard_Integer aNbMaxIter = 1000; |
| 309 | Standard_Integer aNbVal = 10; |
| 310 | Standard_Integer k; |
| 311 | math_Vector aLocalValue(1, aNbVal); |
| 312 | math_Vector aLocalTolReached(1, aNbVal); |
| 313 | math_Vector aValue(1, aNbVal); |
| 314 | math_Vector aTolReached(1, aNbVal); |
| 315 | TColStd_Array1OfBoolean CFlags(1, aNbVal); |
| 316 | CFlags.Init(Standard_False); |
| 317 | Standard_Boolean isMore; |
| 318 | |
| 319 | //aNbVal = 1; |
| 320 | aValue.Init(0.); |
| 321 | aTolReached.Init(0.); |
| 322 | |
| 323 | CFlags.Init(Standard_False); |
| 324 | CFlags(1) = Standard_True; |
| 325 | |
| 326 | if(theCGFlag || theIFlag) { |
| 327 | Standard_Integer i; |
| 328 | for(i = 2; i <= 4; ++i) {CFlags(i) = Standard_True;} |
| 329 | } |
| 330 | |
| 331 | if(theIFlag) { |
| 332 | Standard_Integer i; |
| 333 | for(i = 5; i <= 10; ++i) {CFlags(i) = Standard_True;} |
| 334 | } |
| 335 | |
| 336 | theSurface.Bounds(aUMin, aUMax, aTMin, aTMax); |
| 337 | |
| 338 | if (thePtrDomain == NULL) |
| 339 | isMore = Standard_True; |
| 340 | else { |
| 341 | aPDomain->Init(); |
| 342 | isMore = aPDomain->More(); |
| 343 | } |
| 344 | |
| 345 | while(isMore) { |
| 346 | // If the pointer to the domain is NULL, there is only one curve to treat: |
| 347 | // U isoline with the UMax parameter. |
| 348 | |
| 349 | if (thePtrDomain == NULL) |
| 350 | theSurface.Load(Standard_False, GeomAbs_IsoU); |
| 351 | else |
| 352 | theSurface.Load(aPDomain->Value()); |
| 353 | |
| 354 | aTMin = theSurface.FirstParameter(); |
| 355 | aTMax = theSurface.LastParameter(); |
| 356 | |
| 357 | |
| 358 | // Get the spans on the curve. |
| 359 | Handle(TColStd_HArray1OfReal) aTKnots; |
| 360 | BRepGProp_TFunction aTFunc(theSurface, loc, IsByPoint, theCoeffs, |
| 361 | aUMin, aCrvTol); |
| 362 | |
| 363 | theSurface.GetTKnots(aTMin, aTMax, aTKnots); |
| 364 | |
| 365 | Standard_Integer iU = aTKnots->Upper(); |
| 366 | Standard_Integer aNbTIntervals = aTKnots->Length() - 1; |
| 367 | //Standard_Real aTolSpan = aCrvTol/aNbTIntervals; |
| 368 | Standard_Real aTolSpan = 0.9*theTolerance; //Relative error |
| 369 | math_KronrodSingleIntegration anIntegral; |
| 370 | GProp_ValueType aValueType; |
| 371 | |
| 372 | |
| 373 | // Empirical criterion. |
| 374 | aNbPnts = Min(15, theSurface.IntegrationOrder()/aNbTIntervals + 1); |
| 375 | aNbPnts = Max(5, aNbPnts); |
| 376 | // aNbPnts = theSurface.IntegrationOrder(); |
| 377 | |
| 378 | aLocalValue.Init(0.); |
| 379 | aLocalTolReached.Init(0.); |
| 380 | |
| 381 | for (k = 1; k <= aNbVal; k++) { |
| 382 | |
| 383 | if(!CFlags(k)) continue; |
| 384 | |
| 385 | Standard_Integer i = aTKnots->Lower(); |
| 386 | |
| 387 | switch (k) { |
| 388 | case 1: aValueType = GProp_Mass; break; |
| 389 | case 2: aValueType = GProp_CenterMassX; break; |
| 390 | case 3: aValueType = GProp_CenterMassY; break; |
| 391 | case 4: aValueType = GProp_CenterMassZ; break; |
| 392 | case 5: aValueType = GProp_InertiaXX; break; |
| 393 | case 6: aValueType = GProp_InertiaYY; break; |
| 394 | case 7: aValueType = GProp_InertiaZZ; break; |
| 395 | case 8: aValueType = GProp_InertiaXY; break; |
| 396 | case 9: aValueType = GProp_InertiaXZ; break; |
| 397 | case 10: aValueType = GProp_InertiaYZ; break; |
| 398 | |
| 399 | default: myErrorReached = -1.; return myErrorReached; |
| 400 | } |
| 401 | aTFunc.SetValueType(aValueType); |
| 402 | |
| 403 | Standard_Real err1 = 0.; |
| 404 | while (i < iU) { |
| 405 | |
| 406 | //cout << "-------------- Span " << i << " nbp: " << aNbPnts << endl; |
| 407 | Standard_Real aT1 = aTKnots->Value(i++); |
| 408 | Standard_Real aT2 = aTKnots->Value(i); |
| 409 | |
| 410 | if(aT2 - aT1 < aTTol) continue; |
| 411 | |
| 412 | aTFunc.SetNbKronrodPoints(aNbPnts); |
| 413 | aTFunc.Init(); |
| 414 | aTFunc.SetTolerance(aCrvTol/(aT2-aT1)); |
| 415 | anIntegral.Perform(aTFunc, aT1, aT2, aNbPnts, aTolSpan, aNbMaxIter); |
| 416 | |
| 417 | if (!anIntegral.IsDone()) { |
| 418 | myErrorReached = -1.; |
| 419 | |
| 420 | return myErrorReached; |
| 421 | } |
| 422 | |
| 423 | aLocalValue(k) += anIntegral.Value(); |
| 424 | err1 = aTFunc.AbsolutError()*(aT2 - aT1); |
| 425 | //cout << "Errors: " << anIntegral.NbIterReached() << " " << anIntegral.AbsolutError() << " " << err1 << endl; |
| 426 | aLocalTolReached(k) += anIntegral.AbsolutError() + err1; |
| 427 | //cout << "--- Errors: " << anIntegral.NbIterReached() << " " << anIntegral.AbsolutError() << " " << err1 << endl; |
| 428 | } |
| 429 | |
| 430 | aValue(k) += aLocalValue(k); |
| 431 | aTolReached(k) += aLocalTolReached(k); |
| 432 | } |
| 433 | |
| 434 | // If the pointer to the domain is NULL, there is only one curve to treat: |
| 435 | // U isoline with the UMax parameter. |
| 436 | if (thePtrDomain == NULL) |
| 437 | isMore = Standard_False; |
| 438 | else { |
| 439 | aPDomain->Next(); |
| 440 | isMore = aPDomain->More(); |
| 441 | } |
| 442 | } |
| 443 | |
| 444 | // Get volume value. |
| 445 | dim = aValue(1); |
| 446 | myErrorReached = aTolReached(1); |
| 447 | myAbsolutError = myErrorReached; |
| 448 | Standard_Real anAbsDim = Abs(dim); |
| 449 | Standard_Real aVolTol = Epsilon(myAbsolutError); |
| 450 | if(anAbsDim >= aVolTol) myErrorReached /= anAbsDim; |
| 451 | |
| 452 | if(theCGFlag || theIFlag) { |
| 453 | // Compute values of center of mass. |
| 454 | if(anAbsDim >= aVolTol) { |
| 455 | if (IsByPoint) { |
| 456 | aValue(2) = aCoeffs[0] + aValue(2)/dim; |
| 457 | aValue(3) = aCoeffs[1] + aValue(3)/dim; |
| 458 | aValue(4) = aCoeffs[2] + aValue(4)/dim; |
| 459 | } else { |
| 460 | aValue(2) /= dim; |
| 461 | aValue(3) /= dim; |
| 462 | aValue(4) /= dim; |
| 463 | } |
| 464 | } else { |
| 465 | aValue(2) = 0.; |
| 466 | aValue(3) = 0.; |
| 467 | aValue(4) = 0.; |
| 468 | dim = 0.; |
| 469 | } |
| 470 | g.SetCoord(aValue(2), aValue(3), aValue(4)); |
| 471 | } |
| 472 | |
| 473 | if(theIFlag) { |
| 474 | // Fill the matrix of inertia. |
| 475 | inertia.SetCols (gp_XYZ (aValue(5), aValue(8), aValue(9)), |
| 476 | gp_XYZ (aValue(8), aValue(6), aValue(10)), |
| 477 | gp_XYZ (aValue(9), aValue(10), aValue(7))); |
| 478 | } |
| 479 | //return myErrorReached; |
| 480 | return myAbsolutError; |
| 481 | } |
| 482 | |