OpenVDB 5.1.0

LevelSetAdvect.h
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30
36
37 #ifndef OPENVDB_TOOLS_LEVEL_SET_ADVECT_HAS_BEEN_INCLUDED
38 #define OPENVDB_TOOLS_LEVEL_SET_ADVECT_HAS_BEEN_INCLUDED
39
40 #include <tbb/parallel_for.h>
41 #include <tbb/parallel_reduce.h>
42 #include <openvdb/Platform.h>
43 #include "LevelSetTracker.h"
44 #include "VelocityFields.h" // for EnrightField
45 #include <openvdb/math/FiniteDifference.h>
46 //#include <openvdb/util/CpuTimer.h>
47 #include <functional>
48
49
50 namespace openvdb {
51 OPENVDB_USE_VERSION_NAMESPACE
52 namespace OPENVDB_VERSION_NAME {
53 namespace tools {
54
96
97 template<typename GridT,
98 typename FieldT = EnrightField<typename GridT::ValueType>,
99 typename InterruptT = util::NullInterrupter>
100 class LevelSetAdvection
101 {
102 public:
103 using GridType = GridT;
104 using TrackerT = LevelSetTracker<GridT, InterruptT>;
105 using LeafRange = typename TrackerT::LeafRange;
106 using LeafType = typename TrackerT::LeafType;
107 using BufferType = typename TrackerT::BufferType;
108 using ValueType = typename TrackerT::ValueType;
109 using VectorType = typename FieldT::VectorType;
110
112 LevelSetAdvection(GridT& grid, const FieldT& field, InterruptT* interrupt = nullptr):
113 mTracker(grid, interrupt), mField(field),
114 mSpatialScheme(math::HJWENO5_BIAS),
115 mTemporalScheme(math::TVD_RK2) {}
116
117 virtual ~LevelSetAdvection() {}
118
120 math::BiasedGradientScheme getSpatialScheme() const { return mSpatialScheme; }
122 void setSpatialScheme(math::BiasedGradientScheme scheme) { mSpatialScheme = scheme; }
123
125 math::TemporalIntegrationScheme getTemporalScheme() const { return mTemporalScheme; }
127 void setTemporalScheme(math::TemporalIntegrationScheme scheme) { mTemporalScheme = scheme; }
128
130 math::BiasedGradientScheme getTrackerSpatialScheme() const {
131 return mTracker.getSpatialScheme();
132 }
134 void setTrackerSpatialScheme(math::BiasedGradientScheme scheme) {
135 mTracker.setSpatialScheme(scheme);
136 }
138 math::TemporalIntegrationScheme getTrackerTemporalScheme() const {
139 return mTracker.getTemporalScheme();
140 }
142 void setTrackerTemporalScheme(math::TemporalIntegrationScheme scheme) {
143 mTracker.setTemporalScheme(scheme);
144 }
145
148 int getNormCount() const { return mTracker.getNormCount(); }
151 void setNormCount(int n) { mTracker.setNormCount(n); }
152
154 int getGrainSize() const { return mTracker.getGrainSize(); }
157 void setGrainSize(int grainsize) { mTracker.setGrainSize(grainsize); }
158
163 size_t advect(ValueType time0, ValueType time1);
164
165 private:
166 // disallow copy construction and copy by assinment!
167 LevelSetAdvection(const LevelSetAdvection&);// not implemented
168 LevelSetAdvection& operator=(const LevelSetAdvection&);// not implemented
169
170 // This templated private struct implements all the level set magic.
171 template<typename MapT, math::BiasedGradientScheme SpatialScheme,
172 math::TemporalIntegrationScheme TemporalScheme>
173 struct Advect
174 {
176 Advect(LevelSetAdvection& parent);
178 Advect(const Advect& other);
180 virtual ~Advect() { if (mIsMaster) this->clearField(); }
183 size_t advect(ValueType time0, ValueType time1);
185 void operator()(const LeafRange& r) const
186 {
187 if (mTask) mTask(const_cast<Advect*>(this), r);
188 else OPENVDB_THROW(ValueError, "task is undefined - don\'t call this method directly");
189 }
191 void cook(const char* msg, size_t swapBuffer = 0);
193 typename GridT::ValueType sampleField(ValueType time0, ValueType time1);
194 template <bool Aligned> void sample(const LeafRange& r, ValueType t0, ValueType t1);
195 inline void sampleXformed(const LeafRange& r, ValueType t0, ValueType t1)
196 {
197 this->sample<false>(r, t0, t1);
198 }
199 inline void sampleAligned(const LeafRange& r, ValueType t0, ValueType t1)
200 {
201 this->sample<true>(r, t0, t1);
202 }
203 void clearField();
204 // Convex combination of Phi and a forward Euler advection steps:
205 // Phi(result) = alpha * Phi(phi) + (1-alpha) * (Phi(0) - dt * Speed(speed)*|Grad[Phi(0)]|);
206 template <int Nominator, int Denominator>
207 void euler(const LeafRange&, ValueType, Index, Index);
208 inline void euler01(const LeafRange& r, ValueType t) {this->euler<0,1>(r, t, 0, 1);}
209 inline void euler12(const LeafRange& r, ValueType t) {this->euler<1,2>(r, t, 1, 1);}
210 inline void euler34(const LeafRange& r, ValueType t) {this->euler<3,4>(r, t, 1, 2);}
211 inline void euler13(const LeafRange& r, ValueType t) {this->euler<1,3>(r, t, 1, 2);}
212
213 LevelSetAdvection& mParent;
214 VectorType* mVelocity;
215 size_t* mOffsets;
216 const MapT* mMap;
217 typename std::function<void (Advect*, const LeafRange&)> mTask;
218 const bool mIsMaster;
219 }; // end of private Advect struct
220
221 template<math::BiasedGradientScheme SpatialScheme>
222 size_t advect1(ValueType time0, ValueType time1);
223
224 template<math::BiasedGradientScheme SpatialScheme,
225 math::TemporalIntegrationScheme TemporalScheme>
226 size_t advect2(ValueType time0, ValueType time1);
227
228 template<math::BiasedGradientScheme SpatialScheme,
229 math::TemporalIntegrationScheme TemporalScheme,
230 typename MapType>
231 size_t advect3(ValueType time0, ValueType time1);
232
233 TrackerT mTracker;
234 //each thread needs a deep copy of the field since it might contain a ValueAccessor
235 const FieldT mField;
236 math::BiasedGradientScheme mSpatialScheme;
237 math::TemporalIntegrationScheme mTemporalScheme;
238
239 };//end of LevelSetAdvection
240
241
242 template<typename GridT, typename FieldT, typename InterruptT>
243 inline size_t
244 LevelSetAdvection<GridT, FieldT, InterruptT>::advect(ValueType time0, ValueType time1)
245 {
246 switch (mSpatialScheme) {
247 case math::FIRST_BIAS:
248 return this->advect1<math::FIRST_BIAS >(time0, time1);
249 case math::SECOND_BIAS:
250 return this->advect1<math::SECOND_BIAS >(time0, time1);
251 case math::THIRD_BIAS:
252 return this->advect1<math::THIRD_BIAS >(time0, time1);
253 case math::WENO5_BIAS:
254 return this->advect1<math::WENO5_BIAS >(time0, time1);
255 case math::HJWENO5_BIAS:
256 return this->advect1<math::HJWENO5_BIAS>(time0, time1);
257 default:
258 OPENVDB_THROW(ValueError, "Spatial difference scheme not supported!");
259 }
260 return 0;
261 }
262
263
264 template<typename GridT, typename FieldT, typename InterruptT>
265 template<math::BiasedGradientScheme SpatialScheme>
266 inline size_t
267 LevelSetAdvection<GridT, FieldT, InterruptT>::advect1(ValueType time0, ValueType time1)
268 {
269 switch (mTemporalScheme) {
270 case math::TVD_RK1:
271 return this->advect2<SpatialScheme, math::TVD_RK1>(time0, time1);
272 case math::TVD_RK2:
273 return this->advect2<SpatialScheme, math::TVD_RK2>(time0, time1);
274 case math::TVD_RK3:
275 return this->advect2<SpatialScheme, math::TVD_RK3>(time0, time1);
276 default:
277 OPENVDB_THROW(ValueError, "Temporal integration scheme not supported!");
278 }
279 return 0;
280 }
281
282
283 template<typename GridT, typename FieldT, typename InterruptT>
284 template<math::BiasedGradientScheme SpatialScheme, math::TemporalIntegrationScheme TemporalScheme>
285 inline size_t
286 LevelSetAdvection<GridT, FieldT, InterruptT>::advect2(ValueType time0, ValueType time1)
287 {
288 const math::Transform& trans = mTracker.grid().transform();
289 if (trans.mapType() == math::UniformScaleMap::mapType()) {
290 return this->advect3<SpatialScheme, TemporalScheme, math::UniformScaleMap>(time0, time1);
291 } else if (trans.mapType() == math::UniformScaleTranslateMap::mapType()) {
292 return this->advect3<SpatialScheme, TemporalScheme, math::UniformScaleTranslateMap>(
293 time0, time1);
294 } else if (trans.mapType() == math::UnitaryMap::mapType()) {
295 return this->advect3<SpatialScheme, TemporalScheme, math::UnitaryMap >(time0, time1);
296 } else if (trans.mapType() == math::TranslationMap::mapType()) {
297 return this->advect3<SpatialScheme, TemporalScheme, math::TranslationMap>(time0, time1);
298 } else {
299 OPENVDB_THROW(ValueError, "MapType not supported!");
300 }
301 return 0;
302 }
303
304
305 template<typename GridT, typename FieldT, typename InterruptT>
306 template<
307 math::BiasedGradientScheme SpatialScheme,
308 math::TemporalIntegrationScheme TemporalScheme,
309 typename MapT>
310 inline size_t
311 LevelSetAdvection<GridT, FieldT, InterruptT>::advect3(ValueType time0, ValueType time1)
312 {
313 Advect<MapT, SpatialScheme, TemporalScheme> tmp(*this);
314 return tmp.advect(time0, time1);
315 }
316
317
319
320
321 template<typename GridT, typename FieldT, typename InterruptT>
322 template<
323 typename MapT,
324 math::BiasedGradientScheme SpatialScheme,
325 math::TemporalIntegrationScheme TemporalScheme>
326 inline
327 LevelSetAdvection<GridT, FieldT, InterruptT>::
328 Advect<MapT, SpatialScheme, TemporalScheme>::
329 Advect(LevelSetAdvection& parent)
330 : mParent(parent)
331 , mVelocity(nullptr)
332 , mOffsets(nullptr)
333 , mMap(parent.mTracker.grid().transform().template constMap<MapT>().get())
334 , mTask(0)
335 , mIsMaster(true)
336 {
337 }
338
339
340 template<typename GridT, typename FieldT, typename InterruptT>
341 template<
342 typename MapT,
343 math::BiasedGradientScheme SpatialScheme,
344 math::TemporalIntegrationScheme TemporalScheme>
345 inline
346 LevelSetAdvection<GridT, FieldT, InterruptT>::
347 Advect<MapT, SpatialScheme, TemporalScheme>::
348 Advect(const Advect& other)
349 : mParent(other.mParent)
350 , mVelocity(other.mVelocity)
351 , mOffsets(other.mOffsets)
352 , mMap(other.mMap)
353 , mTask(other.mTask)
354 , mIsMaster(false)
355 {
356 }
357
358
359 template<typename GridT, typename FieldT, typename InterruptT>
360 template<
361 typename MapT,
362 math::BiasedGradientScheme SpatialScheme,
363 math::TemporalIntegrationScheme TemporalScheme>
364 inline size_t
365 LevelSetAdvection<GridT, FieldT, InterruptT>::
366 Advect<MapT, SpatialScheme, TemporalScheme>::
367 advect(ValueType time0, ValueType time1)
368 {
369 namespace ph = std::placeholders;
370
371 //util::CpuTimer timer;
372 size_t countCFL = 0;
373 if ( math::isZero(time0 - time1) ) return countCFL;
374 const bool isForward = time0 < time1;
375 while ((isForward ? time0<time1 : time0>time1) && mParent.mTracker.checkInterrupter()) {
377 //timer.start( "\nallocate buffers" );
378 mParent.mTracker.leafs().rebuildAuxBuffers(TemporalScheme == math::TVD_RK3 ? 2 : 1);
379 //timer.stop();
380
381 const ValueType dt = this->sampleField(time0, time1);
382 if ( math::isZero(dt) ) break;//V is essentially zero so terminate
383
384 OPENVDB_NO_UNREACHABLE_CODE_WARNING_BEGIN //switch is resolved at compile-time
385 switch(TemporalScheme) {
386 case math::TVD_RK1:
387 // Perform one explicit Euler step: t1 = t0 + dt
388 // Phi_t1(1) = Phi_t0(0) - dt * VdotG_t0(0)
389 mTask = std::bind(&Advect::euler01, ph::_1, ph::_2, dt);
390
391 // Cook and swap buffer 0 and 1 such that Phi_t1(0) and Phi_t0(1)
392 this->cook("Advecting level set using TVD_RK1", 1);
393 break;
394 case math::TVD_RK2:
395 // Perform one explicit Euler step: t1 = t0 + dt
396 // Phi_t1(1) = Phi_t0(0) - dt * VdotG_t0(0)
397 mTask = std::bind(&Advect::euler01, ph::_1, ph::_2, dt);
398
399 // Cook and swap buffer 0 and 1 such that Phi_t1(0) and Phi_t0(1)
400 this->cook("Advecting level set using TVD_RK1 (step 1 of 2)", 1);
401
402 // Convex combine explict Euler step: t2 = t0 + dt
403 // Phi_t2(1) = 1/2 * Phi_t0(1) + 1/2 * (Phi_t1(0) - dt * V.Grad_t1(0))
404 mTask = std::bind(&Advect::euler12, ph::_1, ph::_2, dt);
405
406 // Cook and swap buffer 0 and 1 such that Phi_t2(0) and Phi_t1(1)
407 this->cook("Advecting level set using TVD_RK1 (step 2 of 2)", 1);
408 break;
409 case math::TVD_RK3:
410 // Perform one explicit Euler step: t1 = t0 + dt
411 // Phi_t1(1) = Phi_t0(0) - dt * VdotG_t0(0)
412 mTask = std::bind(&Advect::euler01, ph::_1, ph::_2, dt);
413
414 // Cook and swap buffer 0 and 1 such that Phi_t1(0) and Phi_t0(1)
415 this->cook("Advecting level set using TVD_RK3 (step 1 of 3)", 1);
416
417 // Convex combine explict Euler step: t2 = t0 + dt/2
418 // Phi_t2(2) = 3/4 * Phi_t0(1) + 1/4 * (Phi_t1(0) - dt * V.Grad_t1(0))
419 mTask = std::bind(&Advect::euler34, ph::_1, ph::_2, dt);
420
421 // Cook and swap buffer 0 and 2 such that Phi_t2(0) and Phi_t1(2)
422 this->cook("Advecting level set using TVD_RK3 (step 2 of 3)", 2);
423
424 // Convex combine explict Euler step: t3 = t0 + dt
425 // Phi_t3(2) = 1/3 * Phi_t0(1) + 2/3 * (Phi_t2(0) - dt * V.Grad_t2(0)
426 mTask = std::bind(&Advect::euler13, ph::_1, ph::_2, dt);
427
428 // Cook and swap buffer 0 and 2 such that Phi_t3(0) and Phi_t2(2)
429 this->cook("Advecting level set using TVD_RK3 (step 3 of 3)", 2);
430 break;
431 default:
432 OPENVDB_THROW(ValueError, "Temporal integration scheme not supported!");
433 }//end of compile-time resolved switch
434 OPENVDB_NO_UNREACHABLE_CODE_WARNING_END
435
436 time0 += isForward ? dt : -dt;
437 ++countCFL;
438 mParent.mTracker.leafs().removeAuxBuffers();
439 this->clearField();
441 mParent.mTracker.track();
442 }//end wile-loop over time
443 return countCFL;//number of CLF propagation steps
444 }
445
446
447 template<typename GridT, typename FieldT, typename InterruptT>
448 template<
449 typename MapT,
450 math::BiasedGradientScheme SpatialScheme,
451 math::TemporalIntegrationScheme TemporalScheme>
452 inline typename GridT::ValueType
453 LevelSetAdvection<GridT, FieldT, InterruptT>::
454 Advect<MapT, SpatialScheme, TemporalScheme>::
455 sampleField(ValueType time0, ValueType time1)
456 {
457 namespace ph = std::placeholders;
458
459 const int grainSize = mParent.mTracker.getGrainSize();
460 const size_t leafCount = mParent.mTracker.leafs().leafCount();
461 if (leafCount==0) return ValueType(0.0);
462
463 // Compute the prefix sum of offsets to active voxels
464 size_t size=0, voxelCount=mParent.mTracker.leafs().getPrefixSum(mOffsets, size, grainSize);
465
466 // Sample the velocity field
467 if (mParent.mField.transform() == mParent.mTracker.grid().transform()) {
468 mTask = std::bind(&Advect::sampleAligned, ph::_1, ph::_2, time0, time1);
469 } else {
470 mTask = std::bind(&Advect::sampleXformed, ph::_1, ph::_2, time0, time1);
471 }
472 assert(voxelCount == mParent.mTracker.grid().activeVoxelCount());
473 mVelocity = new VectorType[ voxelCount ];
474 this->cook("Sampling advection field");
475
476 // Find the extrema of the magnitude of the velocities
477 ValueType maxAbsV = 0;
478 VectorType* v = mVelocity;
479 for (size_t i = 0; i < voxelCount; ++i, ++v) {
480 maxAbsV = math::Max(maxAbsV, ValueType(v->lengthSqr()));
481 }
482
483 // Compute the CFL number
484 if (math::isApproxZero(maxAbsV, math::Delta<ValueType>::value())) return ValueType(0);
485 #ifndef _MSC_VER // Visual C++ doesn't guarantee thread-safe initialization of local statics
486 static
487 #endif
488 const ValueType CFL = (TemporalScheme == math::TVD_RK1 ? ValueType(0.3) :
489 TemporalScheme == math::TVD_RK2 ? ValueType(0.9) :
490 ValueType(1.0))/math::Sqrt(ValueType(3.0));
491 const ValueType dt = math::Abs(time1 - time0), dx = mParent.mTracker.voxelSize();
492 return math::Min(dt, ValueType(CFL*dx/math::Sqrt(maxAbsV)));
493 }
494
495
496 template<typename GridT, typename FieldT, typename InterruptT>
497 template<
498 typename MapT,
499 math::BiasedGradientScheme SpatialScheme,
500 math::TemporalIntegrationScheme TemporalScheme>
501 template<bool Aligned>
502 inline void
503 LevelSetAdvection<GridT, FieldT, InterruptT>::
504 Advect<MapT, SpatialScheme, TemporalScheme>::
505 sample(const LeafRange& range, ValueType time0, ValueType time1)
506 {
507 const bool isForward = time0 < time1;
508 using VoxelIterT = typename LeafType::ValueOnCIter;
509 const MapT& map = *mMap;
510 const FieldT field( mParent.mField );
511 mParent.mTracker.checkInterrupter();
512 for (typename LeafRange::Iterator leafIter = range.begin(); leafIter; ++leafIter) {
513 VectorType* vel = mVelocity + mOffsets[ leafIter.pos() ];
514 for (VoxelIterT iter = leafIter->cbeginValueOn(); iter; ++iter, ++vel) {
515 const VectorType v = Aligned ? field(iter.getCoord(), time0) ://resolved at compile time
516 field(map.applyMap(iter.getCoord().asVec3d()), time0);
517 *vel = isForward ? v : -v;
518 }
519 }
520 }
521
522
523 template<typename GridT, typename FieldT, typename InterruptT>
524 template<
525 typename MapT,
526 math::BiasedGradientScheme SpatialScheme,
527 math::TemporalIntegrationScheme TemporalScheme>
528 inline void
529 LevelSetAdvection<GridT, FieldT, InterruptT>::
530 Advect<MapT, SpatialScheme, TemporalScheme>::
531 clearField()
532 {
533 delete [] mOffsets;
534 delete [] mVelocity;
535 mOffsets = nullptr;
536 mVelocity = nullptr;
537 }
538
539
540 template<typename GridT, typename FieldT, typename InterruptT>
541 template<
542 typename MapT,
543 math::BiasedGradientScheme SpatialScheme,
544 math::TemporalIntegrationScheme TemporalScheme>
545 inline void
546 LevelSetAdvection<GridT, FieldT, InterruptT>::
547 Advect<MapT, SpatialScheme, TemporalScheme>::
548 cook(const char* msg, size_t swapBuffer)
549 {
550 mParent.mTracker.startInterrupter( msg );
551
552 const int grainSize = mParent.mTracker.getGrainSize();
553 const LeafRange range = mParent.mTracker.leafs().leafRange(grainSize);
554
555 grainSize == 0 ? (*this)(range) : tbb::parallel_for(range, *this);
556
557 mParent.mTracker.leafs().swapLeafBuffer(swapBuffer, grainSize == 0);
558
559 mParent.mTracker.endInterrupter();
560 }
561
562
563 // Convex combination of Phi and a forward Euler advection steps:
564 // Phi(result) = alpha * Phi(phi) + (1-alpha) * (Phi(0) - dt * V.Grad(0));
565 template<typename GridT, typename FieldT, typename InterruptT>
566 template<
567 typename MapT,
568 math::BiasedGradientScheme SpatialScheme,
569 math::TemporalIntegrationScheme TemporalScheme>
570 template <int Nominator, int Denominator>
571 inline void
572 LevelSetAdvection<GridT, FieldT, InterruptT>::
573 Advect<MapT, SpatialScheme, TemporalScheme>::
574 euler(const LeafRange& range, ValueType dt, Index phiBuffer, Index resultBuffer)
575 {
576 using SchemeT = math::BIAS_SCHEME<SpatialScheme>;
577 using StencilT = typename SchemeT::template ISStencil<GridType>::StencilType;
578 using VoxelIterT = typename LeafType::ValueOnCIter;
579 using GradT = math::GradientBiased<MapT, SpatialScheme>;
580
581 static const ValueType Alpha = ValueType(Nominator)/ValueType(Denominator);
582 static const ValueType Beta = ValueType(1) - Alpha;
583
584 mParent.mTracker.checkInterrupter();
585 const MapT& map = *mMap;
586 StencilT stencil(mParent.mTracker.grid());
587 for (typename LeafRange::Iterator leafIter = range.begin(); leafIter; ++leafIter) {
588 const VectorType* vel = mVelocity + mOffsets[ leafIter.pos() ];
589 const ValueType* phi = leafIter.buffer(phiBuffer).data();
590 ValueType* result = leafIter.buffer(resultBuffer).data();
591 for (VoxelIterT voxelIter = leafIter->cbeginValueOn(); voxelIter; ++voxelIter, ++vel) {
592 const Index i = voxelIter.pos();
593 stencil.moveTo(voxelIter);
594 const ValueType a =
595 stencil.getValue() - dt * vel->dot(GradT::result(map, stencil, *vel));
596 result[i] = Nominator ? Alpha * phi[i] + Beta * a : a;
597 }//loop over active voxels in the leaf of the mask
598 }//loop over leafs of the level set
599 }
600
601 } // namespace tools
602 } // namespace OPENVDB_VERSION_NAME
603 } // namespace openvdb
604
605 #endif // OPENVDB_TOOLS_LEVEL_SET_ADVECT_HAS_BEEN_INCLUDED
606
607 // Copyright (c) 2012-2018 DreamWorks Animation LLC
608 // All rights reserved. This software is distributed under the
609 // Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
FiniteDifference.h
openvdb::v5_1::math::SECOND_BIAS
Definition: FiniteDifference.h:195
openvdb::v5_1::tools::LevelSetAdvection::~LevelSetAdvection
virtual ~LevelSetAdvection()
Definition: LevelSetAdvect.h:117
LevelSetTracker.h
Performs multi-threaded interface tracking of narrow band level sets. This is the building-block for ...
openvdb::v5_1::math::HJWENO5_BIAS
Definition: FiniteDifference.h:198
openvdb::v5_1::tools::LevelSetAdvection::VectorType
typename FieldT::VectorType VectorType
Definition: LevelSetAdvect.h:109
openvdb::v5_1::tools::LevelSetAdvection
Hyperbolic advection of narrow-band level sets in an external velocity field.
Definition: LevelSetAdvect.h:100
openvdb::v5_1::math::Abs
Coord Abs(const Coord &xyz)
Definition: Coord.h:513
VelocityFields.h
Defines two simple wrapper classes for advection velocity fields as well as VelocitySampler and Veloc...
openvdb::v5_1::tools::LevelSetAdvection::setNormCount
void setNormCount(int n)
Set the number of normalizations performed per track or normalize call.
Definition: LevelSetAdvect.h:151
openvdb::v5_1::math::isZero
bool isZero(const Type &x)
Return true if x is exactly equal to zero.
Definition: Math.h:308
openvdb::v5_1::math::Transform::mapType
Name mapType() const
Return the transformation map&#39;s type-name.
Definition: Transform.h:93
openvdb::v5_1::math::TemporalIntegrationScheme
TemporalIntegrationScheme
Temporal integration schemes.
Definition: FiniteDifference.h:261
OPENVDB_THROW
#define OPENVDB_THROW(exception, message)
Definition: Exceptions.h:109
openvdb::v5_1::tools::LevelSetAdvection::LevelSetAdvection
LevelSetAdvection(GridT &grid, const FieldT &field, InterruptT *interrupt=nullptr)
Main constructor.
Definition: LevelSetAdvect.h:112
openvdb::v5_1::tools::LevelSetAdvection::setTrackerTemporalScheme
void setTrackerTemporalScheme(math::TemporalIntegrationScheme scheme)
Set the spatial finite difference scheme.
Definition: LevelSetAdvect.h:142
openvdb::v5_1::tools::LevelSetAdvection::getTemporalScheme
math::TemporalIntegrationScheme getTemporalScheme() const
Return the temporal integration scheme.
Definition: LevelSetAdvect.h:125
openvdb::v5_1::math::FIRST_BIAS
Definition: FiniteDifference.h:194
openvdb::v5_1::tools::LevelSetAdvection::getSpatialScheme
math::BiasedGradientScheme getSpatialScheme() const
Return the spatial finite difference scheme.
Definition: LevelSetAdvect.h:120
openvdb::v5_1::math::Min
const Type & Min(const Type &a, const Type &b)
Return the minimum of two values.
Definition: Math.h:610
openvdb::v5_1::tools::LevelSetAdvection::setTrackerSpatialScheme
void setTrackerSpatialScheme(math::BiasedGradientScheme scheme)
Set the spatial finite difference scheme.
Definition: LevelSetAdvect.h:134
openvdb::v5_1::tools::LevelSetAdvection::ValueType
typename TrackerT::ValueType ValueType
Definition: LevelSetAdvect.h:108
openvdb::v5_1::tools::LevelSetAdvection::setSpatialScheme
void setSpatialScheme(math::BiasedGradientScheme scheme)
Set the spatial finite difference scheme.
Definition: LevelSetAdvect.h:122
openvdb::v5_1::tools::LevelSetAdvection::setTemporalScheme
void setTemporalScheme(math::TemporalIntegrationScheme scheme)
Set the spatial finite difference scheme.
Definition: LevelSetAdvect.h:127
openvdb::v5_1::tools::LevelSetTracker::BufferType
typename LeafManagerType::BufferType BufferType
Definition: LevelSetTracker.h:76
openvdb::v5_1::math::Max
const Type & Max(const Type &a, const Type &b)
Return the maximum of two values.
Definition: Math.h:549
openvdb::v5_1::tools::LevelSetAdvection::LeafRange
typename TrackerT::LeafRange LeafRange
Definition: LevelSetAdvect.h:105
openvdb::v5_1::math::TVD_RK1
Definition: FiniteDifference.h:263
openvdb::v5_1::tools::LevelSetTracker::LeafType
typename TreeType::LeafNodeType LeafType
Definition: LevelSetTracker.h:72
OPENVDB_VERSION_NAME
#define OPENVDB_VERSION_NAME
The version namespace name for this library version.
Definition: version.h:136
openvdb::v5_1::math::Transform
Definition: Transform.h:66
openvdb::v5_1::tools::LevelSetAdvection::getTrackerSpatialScheme
math::BiasedGradientScheme getTrackerSpatialScheme() const
Return the spatial finite difference scheme.
Definition: LevelSetAdvect.h:130
openvdb::v5_1::ValueError
Definition: Exceptions.h:92
openvdb::v5_1::tools::LevelSetAdvection::advect
size_t advect(ValueType time0, ValueType time1)
Definition: LevelSetAdvect.h:244
openvdb::v5_1::tools::LevelSetAdvection::LeafType
typename TrackerT::LeafType LeafType
Definition: LevelSetAdvect.h:106
openvdb::v5_1::tools::LevelSetAdvection::GridType
GridT GridType
Definition: LevelSetAdvect.h:103
openvdb
Definition: Exceptions.h:40
openvdb::v5_1::tools::LevelSetTracker::ValueType
typename TreeType::ValueType ValueType
Definition: LevelSetTracker.h:73
OPENVDB_NO_UNREACHABLE_CODE_WARNING_BEGIN
#define OPENVDB_NO_UNREACHABLE_CODE_WARNING_BEGIN
Definition: Platform.h:129
openvdb::v5_1::math::Delta::value
static T value()
Definition: Math.h:124
openvdb::v5_1::tools::LevelSetAdvection::getGrainSize
int getGrainSize() const
Return the grain-size used for multi-threading.
Definition: LevelSetAdvect.h:154
openvdb::v5_1::math::BiasedGradientScheme
BiasedGradientScheme
Biased Gradients are limited to non-centered differences.
Definition: FiniteDifference.h:192
openvdb::v5_1::math::TVD_RK2
Definition: FiniteDifference.h:264
openvdb::v5_1::math::Sqrt
float Sqrt(float x)
Return the square root of a floating-point value.
Definition: Math.h:715
openvdb::v5_1::tools::LevelSetAdvection::getNormCount
int getNormCount() const
Return The number of normalizations performed per track or normalize call.
Definition: LevelSetAdvect.h:148
openvdb::v5_1::tools::LevelSetTracker
Performs multi-threaded interface tracking of narrow band level sets.
Definition: LevelSetTracker.h:67
OPENVDB_NO_UNREACHABLE_CODE_WARNING_END
#define OPENVDB_NO_UNREACHABLE_CODE_WARNING_END
Definition: Platform.h:130
openvdb::v5_1::math::isApproxZero
bool isApproxZero(const Type &x)
Return true if x is equal to zero to within the default floating-point comparison tolerance...
Definition: Math.h:320
openvdb::v5_1::math::TVD_RK3
Definition: FiniteDifference.h:265
openvdb::v5_1::tools::LevelSetAdvection::setGrainSize
void setGrainSize(int grainsize)
Set the grain-size used for multi-threading.
Definition: LevelSetAdvect.h:157
openvdb::v5_1::Index
Index32 Index
Definition: Types.h:61
OPENVDB_USE_VERSION_NAMESPACE
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:188
openvdb::v5_1::tools::LevelSetAdvection::getTrackerTemporalScheme
math::TemporalIntegrationScheme getTrackerTemporalScheme() const
Return the temporal integration scheme.
Definition: LevelSetAdvect.h:138
openvdb::v5_1::tools::LevelSetAdvection::BufferType
typename TrackerT::BufferType BufferType
Definition: LevelSetAdvect.h:107
openvdb::v5_1::math::WENO5_BIAS
Definition: FiniteDifference.h:197
openvdb::v5_1::math::THIRD_BIAS
Definition: FiniteDifference.h:196
openvdb::v5_1::tools::LevelSetTracker::LeafRange
typename LeafManagerType::LeafRange LeafRange
Definition: LevelSetTracker.h:75
Platform.h