OpenVDB: openvdb/tools/PotentialFlow.h Source File

OpenVDB 9.0.0

PotentialFlow.h
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1// Copyright Contributors to the OpenVDB Project
2// SPDX-License-Identifier: MPL-2.0
3
4/// @file tools/PotentialFlow.h
5///
6/// @brief Tools for creating potential flow fields through solving Laplace's equation
7///
8/// @authors Todd Keeler, Dan Bailey
9
10#ifndef OPENVDB_TOOLS_POTENTIAL_FLOW_HAS_BEEN_INCLUDED
11#define OPENVDB_TOOLS_POTENTIAL_FLOW_HAS_BEEN_INCLUDED
12
13#include <openvdb/openvdb.h>
14
15#include "GridOperators.h"
16#include "GridTransformer.h"
17#include "Mask.h" // interiorMask
18#include "Morphology.h" // erodeActiveValues
19#include "PoissonSolver.h"
20#include <openvdb/openvdb.h>
21
22
23namespace openvdb {
24 OPENVDB_USE_VERSION_NAMESPACE
25namespace OPENVDB_VERSION_NAME {
26namespace tools {
27
28/// @brief Metafunction to convert a vector-valued grid type to a scalar grid type
29template<typename VecGridT>
30 struct VectorToScalarGrid {
31 using Type =
32 typename VecGridT::template ValueConverter<typename VecGridT::ValueType::value_type>::Type;
33 using Ptr = typename Type::Ptr;
34 using ConstPtr = typename Type::ConstPtr;
35};
36
37
38/// @brief Construct a mask for the Potential Flow domain.
39/// @details For a level set, this represents a rebuilt exterior narrow band.
40/// For any other grid it is a new region that surrounds the active voxels.
41/// @param grid source grid to use for computing the mask
42/// @param dilation dilation in voxels of the source grid to form the new potential flow mask
43template<typename GridT, typename MaskT = typename GridT::template ValueConverter<ValueMask>::Type>
44typename MaskT::Ptr
45 createPotentialFlowMask(const GridT& grid, int dilation = 5);
46
47
48/// @brief Create a Potential Flow velocities grid for the Neumann boundary.
49/// @param collider a level set that represents the boundary
50/// @param domain a mask to represent the potential flow domain
51/// @param boundaryVelocity an optional grid pointer to stores the velocities of the boundary
52/// @param backgroundVelocity a background velocity value
53/// @details Typically this method involves supplying a velocity grid for the
54/// collider boundary, however it can also be used for a global wind field
55/// around the collider by supplying an empty boundary Velocity and a
56/// non-zero background velocity.
57template<typename Vec3T, typename GridT, typename MaskT>
58typename GridT::template ValueConverter<Vec3T>::Type::Ptr
59 createPotentialFlowNeumannVelocities(const GridT& collider, const MaskT& domain,
60 const typename GridT::template ValueConverter<Vec3T>::Type::ConstPtr boundaryVelocity,
61 const Vec3T& backgroundVelocity);
62
63
64/// @brief Compute the Potential on the domain using the Neumann boundary conditions on
65/// solid boundaries
66/// @param domain a mask to represent the domain in which to perform the solve
67/// @param neumann the topology of this grid defines where the solid boundaries are and grid
68/// values give the Neumann boundaries that should be applied there
69/// @param state the solver parameters for computing the solution
70/// @param interrupter pointer to an optional interrupter adhering to the
71/// util::NullInterrupter interface
72/// @details On input, the State object should specify convergence criteria
73/// (minimum error and maximum number of iterations); on output, it gives
74/// the actual termination conditions.
75template<typename Vec3GridT, typename MaskT, typename InterrupterT = util::NullInterrupter>
76typename VectorToScalarGrid<Vec3GridT>::Ptr
77 computeScalarPotential(const MaskT& domain, const Vec3GridT& neumann, math::pcg::State& state,
78 InterrupterT* interrupter = nullptr);
79
80
81/// @brief Compute a vector Flow Field comprising the gradient of the potential with Neumann
82/// boundary conditions applied
83/// @param potential scalar potential, typically computed from computeScalarPotential()
84/// @param neumann the topology of this grid defines where the solid boundaries are and grid
85/// values give the Neumann boundaries that should be applied there
86/// @param backgroundVelocity a background velocity value
87template<typename Vec3GridT>
88typename Vec3GridT::Ptr
89 computePotentialFlow(const typename VectorToScalarGrid<Vec3GridT>::Type& potential,
90 const Vec3GridT& neumann,
91 const typename Vec3GridT::ValueType backgroundVelocity =
92 zeroVal<typename Vec3GridT::TreeType::ValueType>());
93
94
95//////////////////////////////////////////////////////////
96
97/// @cond OPENVDB_DOCS_INTERNAL
98
99namespace potential_flow_internal {
100
101
102/// @private
103// helper function for retrieving a mask that comprises the outer-most layer of voxels
104template<typename GridT>
105typename GridT::TreeType::template ValueConverter<ValueMask>::Type::Ptr
106extractOuterVoxelMask(GridT& inGrid)
107{
108 using MaskTreeT = typename GridT::TreeType::template ValueConverter<ValueMask>::Type;
109 typename MaskTreeT::Ptr interiorMask(new MaskTreeT(inGrid.tree(), false, TopologyCopy()));
110 typename MaskTreeT::Ptr boundaryMask(new MaskTreeT(inGrid.tree(), false, TopologyCopy()));
111
112 tools::erodeActiveValues(*interiorMask, /*iterations=*/1, tools::NN_FACE, tools::IGNORE_TILES);
113 tools::pruneInactive(*interiorMask);
114 boundaryMask->topologyDifference(*interiorMask);
115 return boundaryMask;
116}
117
118
119// computes Neumann velocities through sampling the gradient and velocities
120template<typename Vec3GridT, typename GradientT>
121struct ComputeNeumannVelocityOp
122{
123 using ValueT = typename Vec3GridT::ValueType;
124 using VelocityAccessor = typename Vec3GridT::ConstAccessor;
125 using VelocitySamplerT = GridSampler<
126 typename Vec3GridT::ConstAccessor, BoxSampler>;
127 using GradientValueT = typename GradientT::TreeType::ValueType;
128
129 ComputeNeumannVelocityOp( const GradientT& gradient,
130 const Vec3GridT& velocity,
131 const ValueT& backgroundVelocity)
132 : mGradient(gradient)
133 , mVelocity(&velocity)
134 , mBackgroundVelocity(backgroundVelocity) { }
135
136 ComputeNeumannVelocityOp( const GradientT& gradient,
137 const ValueT& backgroundVelocity)
138 : mGradient(gradient)
139 , mBackgroundVelocity(backgroundVelocity) { }
140
141 void operator()(typename Vec3GridT::TreeType::LeafNodeType& leaf, size_t) const {
142 auto gradientAccessor = mGradient.getConstAccessor();
143
144 std::unique_ptr<VelocityAccessor> velocityAccessor;
145 std::unique_ptr<VelocitySamplerT> velocitySampler;
146 if (mVelocity) {
147 velocityAccessor.reset(new VelocityAccessor(mVelocity->getConstAccessor()));
148 velocitySampler.reset(new VelocitySamplerT(*velocityAccessor, mVelocity->transform()));
149 }
150
151 for (auto it = leaf.beginValueOn(); it; ++it) {
152 Coord ijk = it.getCoord();
153 auto gradient = gradientAccessor.getValue(ijk);
154 if (gradient.normalize()) {
155 const Vec3d xyz = mGradient.transform().indexToWorld(ijk);
156 const ValueT sampledVelocity = velocitySampler ?
157 velocitySampler->wsSample(xyz) : zeroVal<ValueT>();
158 auto velocity = sampledVelocity + mBackgroundVelocity;
159 auto value = gradient.dot(velocity) * gradient;
160 it.setValue(value);
161 }
162 else {
163 it.setValueOff();
164 }
165 }
166 }
167
168private:
169 const GradientT& mGradient;
170 const Vec3GridT* mVelocity = nullptr;
171 const ValueT& mBackgroundVelocity;
172}; // struct ComputeNeumannVelocityOp
173
174
175// initializes the boundary conditions for use in the Poisson Solver
176template<typename Vec3GridT, typename MaskT>
177struct SolveBoundaryOp
178{
179 SolveBoundaryOp(const Vec3GridT& velGrid, const MaskT& domainGrid)
180 : mVoxelSize(domainGrid.voxelSize()[0])
181 , mVelGrid(velGrid)
182 , mDomainGrid(domainGrid)
183 { }
184
185 void operator()(const Coord& ijk, const Coord& neighbor,
186 double& source, double& diagonal) const {
187
188 typename Vec3GridT::ConstAccessor velGridAccessor = mVelGrid.getAccessor();
189 const Coord diff = (ijk - neighbor);
190
191 if (velGridAccessor.isValueOn(ijk)) { // Neumann
192 const typename Vec3GridT::ValueType& sampleVel = velGridAccessor.getValue(ijk);
193 source += mVoxelSize*diff[0]*sampleVel[0];
194 source += mVoxelSize*diff[1]*sampleVel[1];
195 source += mVoxelSize*diff[2]*sampleVel[2];
196 } else {
197 diagonal -= 1; // Zero Dirichlet
198 }
199
200 }
201
202 const double mVoxelSize;
203 const Vec3GridT& mVelGrid;
204 const MaskT& mDomainGrid;
205}; // struct SolveBoundaryOp
206
207
208} // namespace potential_flow_internal
209
210/// @endcond
211
212////////////////////////////////////////////////////////////////////////////
213
214template<typename GridT, typename MaskT>
215typename MaskT::Ptr
216createPotentialFlowMask(const GridT& grid, int dilation)
217{
218 using MaskTreeT = typename MaskT::TreeType;
219
220 if (!grid.hasUniformVoxels()) {
221 OPENVDB_THROW(ValueError, "Transform must have uniform voxels for Potential Flow mask.");
222 }
223
224 // construct a new mask grid representing the interior region
225 auto interior = interiorMask(grid);
226
227 // create a new mask grid from the interior topology
228 typename MaskTreeT::Ptr maskTree(new MaskTreeT(interior->tree(), false, TopologyCopy()));
229 typename MaskT::Ptr mask = MaskT::create(maskTree);
230 mask->setTransform(grid.transform().copy());
231
232 dilateActiveValues(*maskTree, dilation, NN_FACE_EDGE);
233
234 // subtract the interior region from the mask to leave just the exterior narrow band
235 mask->tree().topologyDifference(interior->tree());
236
237 return mask;
238}
239
240
241template<typename Vec3T, typename GridT, typename MaskT>
242 typename GridT::template ValueConverter<Vec3T>::Type::Ptr createPotentialFlowNeumannVelocities(
243 const GridT& collider,
244 const MaskT& domain,
245 const typename GridT::template ValueConverter<Vec3T>::Type::ConstPtr boundaryVelocity,
246 const Vec3T& backgroundVelocity)
247{
248 using Vec3GridT = typename GridT::template ValueConverter<Vec3T>::Type;
249 using TreeT = typename Vec3GridT::TreeType;
250 using ValueT = typename TreeT::ValueType;
251 using GradientT = typename ScalarToVectorConverter<GridT>::Type;
252
253 using potential_flow_internal::ComputeNeumannVelocityOp;
254
255 // this method requires the collider to be a level set to generate the gradient
256 // use the tools::topologyToLevelset() method if you need to convert a mask into a level set
257 if (collider.getGridClass() != GRID_LEVEL_SET ||
258 !std::is_floating_point<typename GridT::TreeType::ValueType>::value) {
259 OPENVDB_THROW(TypeError, "Potential Flow expecting the collider to be a level set.");
260 }
261
262 // empty grid if there are no velocities
263 if (backgroundVelocity == zeroVal<Vec3T>() &&
264 (!boundaryVelocity || boundaryVelocity->empty())) {
265 auto neumann = Vec3GridT::create();
266 neumann->setTransform(collider.transform().copy());
267 return neumann;
268 }
269
270 // extract the intersection between the collider and the domain
271 using MaskTreeT = typename GridT::TreeType::template ValueConverter<ValueMask>::Type;
272 typename MaskTreeT::Ptr boundary(new MaskTreeT(domain.tree(), false, TopologyCopy()));
273 boundary->topologyIntersection(collider.tree());
274
275 typename TreeT::Ptr neumannTree(new TreeT(*boundary, zeroVal<ValueT>(), TopologyCopy()));
276 neumannTree->voxelizeActiveTiles();
277
278 // compute the gradient from the collider
279 const typename GradientT::Ptr gradient = tools::gradient(collider);
280
281 typename tree::LeafManager<TreeT> leafManager(*neumannTree);
282
283 if (boundaryVelocity && !boundaryVelocity->empty()) {
284 ComputeNeumannVelocityOp<Vec3GridT, GradientT>
285 neumannOp(*gradient, *boundaryVelocity, backgroundVelocity);
286 leafManager.foreach(neumannOp, false);
287 }
288 else {
289 ComputeNeumannVelocityOp<Vec3GridT, GradientT>
290 neumannOp(*gradient, backgroundVelocity);
291 leafManager.foreach(neumannOp, false);
292 }
293
294 // prune any inactive values
295 tools::pruneInactive(*neumannTree);
296
297 typename Vec3GridT::Ptr neumann(Vec3GridT::create(neumannTree));
298 neumann->setTransform(collider.transform().copy());
299
300 return neumann;
301}
302
303
304template<typename Vec3GridT, typename MaskT, typename InterrupterT>
305typename VectorToScalarGrid<Vec3GridT>::Ptr
306computeScalarPotential(const MaskT& domain, const Vec3GridT& neumann,
307 math::pcg::State& state, InterrupterT* interrupter)
308{
309 using ScalarT = typename Vec3GridT::ValueType::value_type;
310 using ScalarTreeT = typename Vec3GridT::TreeType::template ValueConverter<ScalarT>::Type;
311 using ScalarGridT = typename Vec3GridT::template ValueConverter<ScalarT>::Type;
312
313 using potential_flow_internal::SolveBoundaryOp;
314
315 // create the solution tree and activate using domain topology
316 ScalarTreeT solveTree(domain.tree(), zeroVal<ScalarT>(), TopologyCopy());
317 solveTree.voxelizeActiveTiles();
318
319 util::NullInterrupter nullInterrupt;
320 if (!interrupter) interrupter = &nullInterrupt;
321
322 // solve for scalar potential
323 SolveBoundaryOp<Vec3GridT, MaskT> solve(neumann, domain);
324 typename ScalarTreeT::Ptr potentialTree =
325 poisson::solveWithBoundaryConditions(solveTree, solve, state, *interrupter, true);
326
327 auto potential = ScalarGridT::create(potentialTree);
328 potential->setTransform(domain.transform().copy());
329
330 return potential;
331}
332
333
334template<typename Vec3GridT>
335typename Vec3GridT::Ptr
336computePotentialFlow(const typename VectorToScalarGrid<Vec3GridT>::Type& potential,
337 const Vec3GridT& neumann,
338 const typename Vec3GridT::ValueType backgroundVelocity)
339{
340 using Vec3T = const typename Vec3GridT::ValueType;
341 using potential_flow_internal::extractOuterVoxelMask;
342
343 // The VDB gradient op uses the background grid value, which is zero by default, when
344 // computing the gradient at the boundary. This works at the zero-dirichlet boundaries, but
345 // give spurious values at Neumann ones as the potential should be non-zero there. To avoid
346 // the extra error, we just substitute the Neumann condition on the boundaries.
347 // Technically, we should allow for some tangential velocity, coming from the gradient of
348 // potential. However, considering the voxelized nature of our solve, a decent approximation
349 // to a tangential derivative isn't probably worth our time. Any tangential component will be
350 // found in the next interior ring of voxels.
351
352 auto gradient = tools::gradient(potential);
353
354 // apply Neumann values to the gradient
355
356 auto applyNeumann = [&gradient, &neumann] (
357 const MaskGrid::TreeType::LeafNodeType& leaf, size_t)
358 {
359 typename Vec3GridT::Accessor gradientAccessor = gradient->getAccessor();
360 typename Vec3GridT::ConstAccessor neumannAccessor = neumann.getAccessor();
361 for (auto it = leaf.beginValueOn(); it; ++it) {
362 const Coord ijk = it.getCoord();
363 typename Vec3GridT::ValueType value;
364 if (neumannAccessor.probeValue(ijk, value)) {
365 gradientAccessor.setValue(ijk, value);
366 }
367 }
368 };
369
370 const MaskGrid::TreeType::Ptr boundary = extractOuterVoxelMask(*gradient);
371 typename tree::LeafManager<const typename MaskGrid::TreeType> leafManager(*boundary);
372 leafManager.foreach(applyNeumann);
373
374 // apply the background value to the gradient if supplied
375
376 if (backgroundVelocity != zeroVal<Vec3T>()) {
377 auto applyBackgroundVelocity = [&backgroundVelocity] (
378 typename Vec3GridT::TreeType::LeafNodeType& leaf, size_t)
379 {
380 for (auto it = leaf.beginValueOn(); it; ++it) {
381 it.setValue(it.getValue() - backgroundVelocity);
382 }
383 };
384
385 typename tree::LeafManager<typename Vec3GridT::TreeType> leafManager2(gradient->tree());
386 leafManager2.foreach(applyBackgroundVelocity);
387 }
388
389 return gradient;
390}
391
392
393////////////////////////////////////////
394
395
396// Explicit Template Instantiation
397
398#ifdef OPENVDB_USE_EXPLICIT_INSTANTIATION
399
400#ifdef OPENVDB_INSTANTIATE_POTENTIALFLOW
401#include <openvdb/util/ExplicitInstantiation.h>
402#endif
403
404#define _FUNCTION(TreeT) \
405 Grid<TreeT>::Ptr createPotentialFlowNeumannVelocities(const FloatGrid&, const MaskGrid&, \
406 const Grid<TreeT>::ConstPtr, const TreeT::ValueType&)
407 OPENVDB_VEC3_TREE_INSTANTIATE(_FUNCTION)
408#undef _FUNCTION
409
410#define _FUNCTION(TreeT) \
411 VectorToScalarGrid<Grid<TreeT>>::Ptr computeScalarPotential(const MaskGrid&, const Grid<TreeT>&, \
412 math::pcg::State&, util::NullInterrupter*)
413 OPENVDB_VEC3_TREE_INSTANTIATE(_FUNCTION)
414#undef _FUNCTION
415
416#define _FUNCTION(TreeT) \
417 Grid<TreeT>::Ptr computePotentialFlow( \
418 const VectorToScalarGrid<Grid<TreeT>>::Type&, const Grid<TreeT>&, const TreeT::ValueType)
419 OPENVDB_VEC3_TREE_INSTANTIATE(_FUNCTION)
420#undef _FUNCTION
421
422#endif // OPENVDB_USE_EXPLICIT_INSTANTIATION
423
424
425} // namespace tools
426} // namespace OPENVDB_VERSION_NAME
427} // namespace openvdb
428
429#endif // OPENVDB_TOOLS_POTENTIAL_FLOW_HAS_BEEN_INCLUDED
ExplicitInstantiation.h
value
ValueT value
Definition: GridBuilder.h:1287
GridOperators.h
Apply an operator to an input grid to produce an output grid with the same active voxel topology but ...
GridTransformer.h
Mask.h
Construct boolean mask grids from grids of arbitrary type.
Morphology.h
Implementation of morphological dilation and erosion.
PoissonSolver.h
Solve Poisson's equation ∇2x = b for x, where b is a vector comprising the values of all of the activ...
openvdb::v9_0::Grid::Ptr
SharedPtr< Grid > Ptr
Definition: Grid.h:579
openvdb::v9_0::TopologyCopy
Tag dispatch class that distinguishes topology copy constructors from deep copy constructors.
Definition: Types.h:564
openvdb::v9_0::TypeError
Definition: Exceptions.h:64
openvdb::v9_0::ValueError
Definition: Exceptions.h:65
openvdb::v9_0::math::Coord
Signed (x, y, z) 32-bit integer coordinates.
Definition: Coord.h:25
openvdb::v9_0::tree::LeafManager
This class manages a linear array of pointers to a given tree's leaf nodes, as well as optional auxil...
Definition: LeafManager.h:85
openvdb::v9_0::tree::LeafManager::foreach
void foreach(const LeafOp &op, bool threaded=true, size_t grainSize=1)
Threaded method that applies a user-supplied functor to each leaf node in the LeafManager.
Definition: LeafManager.h:483
nanovdb::Vec3d
Vec3< double > Vec3d
Definition: NanoVDB.h:1174
openvdb::v9_0::math::pcg::solve
State solve(const PositiveDefMatrix &A, const Vector< typename PositiveDefMatrix::ValueType > &b, Vector< typename PositiveDefMatrix::ValueType > &x, Preconditioner< typename PositiveDefMatrix::ValueType > &preconditioner, const State &termination=terminationDefaults< typename PositiveDefMatrix::ValueType >())
Solve Ax = b via the preconditioned conjugate gradient method.
Definition: ConjGradient.h:1612
openvdb::v9_0::tools::poisson::solveWithBoundaryConditions
TreeType::Ptr solveWithBoundaryConditions(const TreeType &, const BoundaryOp &, math::pcg::State &, Interrupter &, bool staggered=false)
Solve ∇2x = b for x with user-specified boundary conditions, where b is a vector comprising the value...
Definition: PoissonSolver.h:767
openvdb::v9_0::tools::createPotentialFlowNeumannVelocities
GridT::template ValueConverter< Vec3T >::Type::Ptr createPotentialFlowNeumannVelocities(const GridT &collider, const MaskT &domain, const typename GridT::template ValueConverter< Vec3T >::Type::ConstPtr boundaryVelocity, const Vec3T &backgroundVelocity)
Create a Potential Flow velocities grid for the Neumann boundary.
Definition: PotentialFlow.h:242
openvdb::v9_0::tools::createPotentialFlowMask
MaskT::Ptr createPotentialFlowMask(const GridT &grid, int dilation=5)
Construct a mask for the Potential Flow domain.
Definition: PotentialFlow.h:216
openvdb::v9_0::tools::computeScalarPotential
VectorToScalarGrid< Vec3GridT >::Ptr computeScalarPotential(const MaskT &domain, const Vec3GridT &neumann, math::pcg::State &state, InterrupterT *interrupter=nullptr)
Compute the Potential on the domain using the Neumann boundary conditions on solid boundaries.
Definition: PotentialFlow.h:306
openvdb::v9_0::tools::NN_FACE_EDGE
@ NN_FACE_EDGE
Definition: Morphology.h:58
openvdb::v9_0::tools::NN_FACE
@ NN_FACE
Definition: Morphology.h:58
openvdb::v9_0::tools::interiorMask
GridType::template ValueConverter< bool >::Type::Ptr interiorMask(const GridType &grid, const double isovalue=0.0)
Given an input grid of any type, return a new, boolean grid whose active voxel topology matches the i...
Definition: Mask.h:105
openvdb::v9_0::tools::gradient
ScalarToVectorConverter< GridType >::Type::Ptr gradient(const GridType &grid, bool threaded, InterruptT *interrupt)
Compute the gradient of the given scalar grid.
Definition: GridOperators.h:1000
openvdb::v9_0::tools::erodeActiveValues
void erodeActiveValues(TreeOrLeafManagerT &tree, const int iterations=1, const NearestNeighbors nn=NN_FACE, const TilePolicy mode=PRESERVE_TILES, const bool threaded=true)
Topologically erode all active values (i.e. both voxels and tiles) in a tree using one of three neare...
Definition: Morphology.h:1132
openvdb::v9_0::tools::dilateActiveValues
void dilateActiveValues(TreeOrLeafManagerT &tree, const int iterations=1, const NearestNeighbors nn=NN_FACE, const TilePolicy mode=PRESERVE_TILES, const bool threaded=true)
Topologically dilate all active values (i.e. both voxels and tiles) in a tree using one of three near...
Definition: Morphology.h:1055
openvdb::v9_0::tools::IGNORE_TILES
@ IGNORE_TILES
Definition: Morphology.h:80
openvdb::v9_0::tools::computePotentialFlow
Vec3GridT::Ptr computePotentialFlow(const typename VectorToScalarGrid< Vec3GridT >::Type &potential, const Vec3GridT &neumann, const typename Vec3GridT::ValueType backgroundVelocity=zeroVal< typename Vec3GridT::TreeType::ValueType >())
Compute a vector Flow Field comprising the gradient of the potential with Neumann boundary conditions...
Definition: PotentialFlow.h:336
openvdb::v9_0::tools::pruneInactive
void pruneInactive(TreeT &tree, bool threaded=true, size_t grainSize=1)
Reduce the memory footprint of a tree by replacing with background tiles any nodes whose values are a...
Definition: Prune.h:355
openvdb::v9_0::GRID_LEVEL_SET
@ GRID_LEVEL_SET
Definition: Types.h:337
openvdb
Definition: Exceptions.h:13
OPENVDB_THROW
#define OPENVDB_THROW(exception, message)
Definition: Exceptions.h:74
openvdb.h
openvdb::v9_0::math::pcg::State
Information about the state of a conjugate gradient solution.
Definition: ConjGradient.h:46
openvdb::v9_0::tools::ScalarToVectorConverter::Type
ScalarGridType::template ValueConverter< VectorValueT >::Type Type
Definition: GridOperators.h:43
openvdb::v9_0::tools::VectorToScalarGrid
Metafunction to convert a vector-valued grid type to a scalar grid type.
Definition: PotentialFlow.h:30
openvdb::v9_0::tools::VectorToScalarGrid::Ptr
typename Type::Ptr Ptr
Definition: PotentialFlow.h:33
openvdb::v9_0::tools::VectorToScalarGrid::ConstPtr
typename Type::ConstPtr ConstPtr
Definition: PotentialFlow.h:34
openvdb::v9_0::tools::VectorToScalarGrid::Type
typename VecGridT::template ValueConverter< typename VecGridT::ValueType::value_type >::Type Type
Definition: PotentialFlow.h:32
openvdb::v9_0::util::NullInterrupter
Base class for interrupters.
Definition: NullInterrupter.h:26
OPENVDB_VERSION_NAME
#define OPENVDB_VERSION_NAME
The version namespace name for this library version.
Definition: version.h.in:116
OPENVDB_USE_VERSION_NAMESPACE
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h.in:202
OPENVDB_VEC3_TREE_INSTANTIATE
#define OPENVDB_VEC3_TREE_INSTANTIATE(Function)
Definition: version.h.in:149