LeafManager.h

Go to the documentation of this file.

// Copyright Contributors to the OpenVDB Project
// SPDX-License-Identifier: MPL-2.0

/// @file LeafManager.h
///
/// @brief A LeafManager manages a linear array of pointers to a given tree's
/// leaf nodes, as well as optional auxiliary buffers (one or more per leaf)
/// that can be swapped with the leaf nodes' voxel data buffers.
/// @details The leaf array is useful for multithreaded computations over
/// leaf voxels in a tree with static topology but varying voxel values.
/// The auxiliary buffers are convenient for temporal integration.
/// Efficient methods are provided for multithreaded swapping and synching
/// (i.e., copying the contents) of these buffers.

#ifndef OPENVDB_TREE_LEAFMANAGER_HAS_BEEN_INCLUDED
#define OPENVDB_TREE_LEAFMANAGER_HAS_BEEN_INCLUDED

#include <openvdb/Types.h>
#include "RootNode.h" // for NodeChain
#include <tbb/blocked_range.h>
#include <tbb/parallel_for.h>
#include <tbb/parallel_reduce.h>
#include <deque>
#include <functional>
#include <type_traits>


namespace openvdb {
OPENVDB_USE_VERSION_NAMESPACE
namespace OPENVDB_VERSION_NAME {
namespace tree {

namespace leafmgr {

//@{
/// Useful traits for Tree types
template<typename TreeT> struct TreeTraits {
    static const bool IsConstTree = false;
    using LeafIterType = typename TreeT::LeafIter;
};
template<typename TreeT> struct TreeTraits<const TreeT> {
    static const bool IsConstTree = true;
    using LeafIterType = typename TreeT::LeafCIter;
};
//@}

} // namespace leafmgr


/// This helper class implements LeafManager methods that need to be
/// specialized for const vs. non-const trees.
template<typename ManagerT>
struct LeafManagerImpl
{
    using RangeT = typename ManagerT::RangeType;
    using LeafT = typename ManagerT::LeafType;
    using BufT = typename ManagerT::BufferType;

    static inline void doSwapLeafBuffer(const RangeT& r, size_t auxBufferIdx,
                                        LeafT** leafs, BufT* bufs, size_t bufsPerLeaf)
    {
        for (size_t n = r.begin(), m = r.end(), N = bufsPerLeaf; n != m; ++n) {
            leafs[n]->swap(bufs[n * N + auxBufferIdx]);
        }
    }
};


////////////////////////////////////////


/// @brief This class manages a linear array of pointers to a given tree's
/// leaf nodes, as well as optional auxiliary buffers (one or more per leaf)
/// that can be swapped with the leaf nodes' voxel data buffers.
/// @details The leaf array is useful for multithreaded computations over
/// leaf voxels in a tree with static topology but varying voxel values.
/// The auxiliary buffers are convenient for temporal integration.
/// Efficient methods are provided for multithreaded swapping and sync'ing
/// (i.e., copying the contents) of these buffers.
///
/// @note Buffer index 0 denotes a leaf node's internal voxel data buffer.
/// Any auxiliary buffers are indexed starting from one.
template<typename TreeT>
class LeafManager
{
public:
    using TreeType = TreeT;
    using ValueType = typename TreeT::ValueType;
    using RootNodeType = typename TreeT::RootNodeType;
    using NonConstLeafType = typename TreeType::LeafNodeType;
    using LeafType = typename CopyConstness<TreeType, NonConstLeafType>::Type;
    using LeafNodeType = LeafType;
    using LeafIterType = typename leafmgr::TreeTraits<TreeT>::LeafIterType;
    using NonConstBufferType = typename LeafType::Buffer;
    using BufferType = typename CopyConstness<TreeType, NonConstBufferType>::Type;
    using RangeType = tbb::blocked_range<size_t>; // leaf index range
    static const Index DEPTH = 2; // root + leaf nodes

    static const bool IsConstTree = leafmgr::TreeTraits<TreeT>::IsConstTree;

    class LeafRange
    {
    public:
        class Iterator
        {
        public:
            Iterator(const LeafRange& range, size_t pos): mRange(range), mPos(pos)
            {
                assert(this->isValid());
            }
            Iterator(const Iterator&) = default;
            Iterator& operator=(const Iterator&) = default;
            /// Advance to the next leaf node.
            Iterator& operator++() { ++mPos; return *this; }
            /// Return a reference to the leaf node to which this iterator is pointing.
            LeafType& operator*() const { return mRange.mLeafManager.leaf(mPos); }
            /// Return a pointer to the leaf node to which this iterator is pointing.
            LeafType* operator->() const { return &(this->operator*()); }
            /// @brief Return the nth buffer for the leaf node to which this iterator is pointing,
            /// where n = @a bufferIdx and n = 0 corresponds to the leaf node's own buffer.
            BufferType& buffer(size_t bufferIdx)
            {
                return mRange.mLeafManager.getBuffer(mPos, bufferIdx);
            }
            /// Return the index into the leaf array of the current leaf node.
            size_t pos() const { return mPos; }
            /// Return @c true if the position of this iterator is in a valid range.
            bool isValid() const { return mPos>=mRange.mBegin && mPos<=mRange.mEnd; }
            /// Return @c true if this iterator is not yet exhausted.
            bool test() const { return mPos < mRange.mEnd; }
            /// Return @c true if this iterator is not yet exhausted.
            operator bool() const { return this->test(); }
            /// Return @c true if this iterator is exhausted.
            bool empty() const { return !this->test(); }
            bool operator!=(const Iterator& other) const
            {
                return (mPos != other.mPos) || (&mRange != &other.mRange);
            }
            bool operator==(const Iterator& other) const { return !(*this != other); }
            const LeafRange& leafRange() const { return mRange; }

        private:
            const LeafRange& mRange;
            size_t mPos;
        };// end Iterator

        LeafRange(size_t begin, size_t end, const LeafManager& leafManager, size_t grainSize=1)
            : mEnd(end)
            , mBegin(begin)
            , mGrainSize(grainSize)
            , mLeafManager(leafManager)
        {
        }

        Iterator begin() const {return Iterator(*this, mBegin);}

        Iterator end() const {return Iterator(*this, mEnd);}

        size_t size() const { return mEnd - mBegin; }

        size_t grainsize() const { return mGrainSize; }

        const LeafManager& leafManager() const { return mLeafManager; }

        bool empty() const {return !(mBegin < mEnd);}

        bool is_divisible() const {return mGrainSize < this->size();}

        LeafRange(LeafRange& r, tbb::split)
            : mEnd(r.mEnd)
            , mBegin(doSplit(r))
            , mGrainSize(r.mGrainSize)
            , mLeafManager(r.mLeafManager)
        {
        }

    private:
        size_t mEnd, mBegin, mGrainSize;
        const LeafManager& mLeafManager;

        static size_t doSplit(LeafRange& r)
        {
            assert(r.is_divisible());
            size_t middle = r.mBegin + (r.mEnd - r.mBegin) / 2u;
            r.mEnd = middle;
            return middle;
        }
    };// end of LeafRange

    /// @brief Constructor from a tree reference and an auxiliary buffer count
    /// @note  The default is no auxiliary buffers
    LeafManager(TreeType& tree, size_t auxBuffersPerLeaf=0, bool serial=false)
        : mTree(&tree)
        , mLeafCount(0)
        , mAuxBufferCount(0)
        , mAuxBuffersPerLeaf(auxBuffersPerLeaf)
    {
        this->rebuild(serial);
    }

    /// @brief Construct directly from an existing array of leafnodes.
    /// @warning The leafnodes are implicitly assumed to exist in the
    ///          input @a tree.
    LeafManager(TreeType& tree, LeafType** begin, LeafType** end,
                size_t auxBuffersPerLeaf=0, bool serial=false)
        : mTree(&tree)
        , mLeafCount(end-begin)
        , mAuxBufferCount(0)
        , mAuxBuffersPerLeaf(auxBuffersPerLeaf)
        , mLeafPtrs(new LeafType*[mLeafCount])
        , mLeafs(mLeafPtrs.get())
    {
        size_t n = mLeafCount;
        LeafType **target = mLeafs, **source = begin;
        while (n--) *target++ = *source++;
        if (auxBuffersPerLeaf) this->initAuxBuffers(serial);
    }

    /// Shallow copy constructor called by tbb::parallel_for() threads
    ///
    /// @note This should never get called directly
    LeafManager(const LeafManager& other)
        : mTree(other.mTree)
        , mLeafCount(other.mLeafCount)
        , mAuxBufferCount(other.mAuxBufferCount)
        , mAuxBuffersPerLeaf(other.mAuxBuffersPerLeaf)
        , mLeafs(other.mLeafs)
        , mAuxBuffers(other.mAuxBuffers)
        , mTask(other.mTask)
    {
    }

    /// @brief (Re)initialize by resizing (if necessary) and repopulating the leaf array
    /// and by deleting existing auxiliary buffers and allocating new ones.
    /// @details Call this method if the tree's topology, and therefore the number
    /// of leaf nodes, changes.  New auxiliary buffers are initialized with copies
    /// of corresponding leaf node buffers.
    void rebuild(bool serial=false)
    {
        this->initLeafArray(serial);
        this->initAuxBuffers(serial);
    }
    //@{
    /// Repopulate the leaf array and delete and reallocate auxiliary buffers.
    void rebuild(size_t auxBuffersPerLeaf, bool serial=false)
    {
        mAuxBuffersPerLeaf = auxBuffersPerLeaf;
        this->rebuild(serial);
    }
    void rebuild(TreeType& tree, bool serial=false)
    {
        mTree = &tree;
        this->rebuild(serial);
    }
    void rebuild(TreeType& tree, size_t auxBuffersPerLeaf, bool serial=false)
    {
        mTree = &tree;
        mAuxBuffersPerLeaf = auxBuffersPerLeaf;
        this->rebuild(serial);
    }
    //@}
    /// @brief Change the number of auxiliary buffers.
    /// @details If auxBuffersPerLeaf is 0, all existing auxiliary buffers are deleted.
    /// New auxiliary buffers are initialized with copies of corresponding leaf node buffers.
    /// This method does not rebuild the leaf array.
    void rebuildAuxBuffers(size_t auxBuffersPerLeaf, bool serial=false)
    {
        mAuxBuffersPerLeaf = auxBuffersPerLeaf;
        this->initAuxBuffers(serial);
    }
    /// @brief Remove the auxiliary buffers, but don't rebuild the leaf array.
    void removeAuxBuffers() { this->rebuildAuxBuffers(0); }

    /// @brief Remove the auxiliary buffers and rebuild the leaf array.
    void rebuildLeafArray(bool serial = false)
    {
        this->removeAuxBuffers();
        this->initLeafArray(serial);
    }

    /// @brief Return the total number of allocated auxiliary buffers.
    size_t auxBufferCount() const { return mAuxBufferCount; }
    /// @brief Return the number of auxiliary buffers per leaf node.
    size_t auxBuffersPerLeaf() const { return mAuxBuffersPerLeaf; }

    /// @brief Return the number of leaf nodes.
    size_t leafCount() const { return mLeafCount; }

    /// @brief Return the number of active voxels in the leaf nodes.
    /// @note Multi-threaded for better performance than Tree::activeLeafVoxelCount
    Index64 activeLeafVoxelCount() const
    {
        return tbb::parallel_reduce(this->leafRange(), Index64(0),
            [] (const LeafRange& range, Index64 sum) -> Index64 {
                for (const auto& leaf: range) { sum += leaf.onVoxelCount(); }
                return sum;
            },
            [] (Index64 n, Index64 m) -> Index64 { return n + m; });
    }

    /// Return a const reference to tree associated with this manager.
    const TreeType& tree() const { return *mTree; }

    /// Return a reference to the tree associated with this manager.
    TreeType& tree() { return *mTree; }

    /// Return a const reference to root node associated with this manager.
    const RootNodeType& root() const { return mTree->root(); }

    /// Return a reference to the root node associated with this manager.
    RootNodeType& root() { return mTree->root(); }

    /// Return @c true if the tree associated with this manager is immutable.
    bool isConstTree() const { return this->IsConstTree; }

    /// @brief Return a pointer to the leaf node at index @a leafIdx in the array.
    /// @note For performance reasons no range check is performed (other than an assertion)!
    LeafType& leaf(size_t leafIdx) const { assert(leafIdx<mLeafCount); return *mLeafs[leafIdx]; }

    /// @brief Return the leaf or auxiliary buffer for the leaf node at index @a leafIdx.
    /// If @a bufferIdx is zero, return the leaf buffer, otherwise return the nth
    /// auxiliary buffer, where n = @a bufferIdx - 1.
    ///
    /// @note For performance reasons no range checks are performed on the inputs
    /// (other than assertions)! Since auxiliary buffers, unlike leaf buffers,
    /// might not exist, be especially careful when specifying the @a bufferIdx.
    /// @note For const trees, this method always returns a reference to a const buffer.
    /// It is safe to @c const_cast and modify any auxiliary buffer (@a bufferIdx > 0),
    /// but it is not safe to modify the leaf buffer (@a bufferIdx = 0).
    BufferType& getBuffer(size_t leafIdx, size_t bufferIdx) const
    {
        assert(leafIdx < mLeafCount);
        assert(bufferIdx == 0 || bufferIdx - 1 < mAuxBuffersPerLeaf);
        return bufferIdx == 0 ? mLeafs[leafIdx]->buffer()
             : mAuxBuffers[leafIdx * mAuxBuffersPerLeaf + bufferIdx - 1];
    }

    /// @brief Return a @c tbb::blocked_range of leaf array indices.
    ///
    /// @note Consider using leafRange() instead, which provides access methods
    /// to leaf nodes and buffers.
    RangeType getRange(size_t grainsize = 1) const { return RangeType(0, mLeafCount, grainsize); }

    /// Return a TBB-compatible LeafRange.
    LeafRange leafRange(size_t grainsize = 1) const
    {
        return LeafRange(0, mLeafCount, *this, grainsize);
    }

    /// @brief Swap each leaf node's buffer with the nth corresponding auxiliary buffer,
    /// where n = @a bufferIdx.
    /// @return @c true if the swap was successful
    /// @param bufferIdx  index of the buffer that will be swapped with
    ///                   the corresponding leaf node buffer
    /// @param serial     if false, swap buffers in parallel using multiple threads.
    /// @note Recall that the indexing of auxiliary buffers is 1-based, since
    /// buffer index 0 denotes the leaf node buffer.  So buffer index 1 denotes
    /// the first auxiliary buffer.
    bool swapLeafBuffer(size_t bufferIdx, bool serial = false)
    {
        namespace ph = std::placeholders;
        if (bufferIdx == 0 || bufferIdx > mAuxBuffersPerLeaf || this->isConstTree()) return false;
        mTask = std::bind(&LeafManager::doSwapLeafBuffer, ph::_1, ph::_2, bufferIdx - 1);
        this->cook(serial ? 0 : 512);
        return true;//success
    }
    /// @brief Swap any two buffers for each leaf node.
    /// @note Recall that the indexing of auxiliary buffers is 1-based, since
    /// buffer index 0 denotes the leaf node buffer.  So buffer index 1 denotes
    /// the first auxiliary buffer.
    bool swapBuffer(size_t bufferIdx1, size_t bufferIdx2, bool serial = false)
    {
        namespace ph = std::placeholders;
        const size_t b1 = std::min(bufferIdx1, bufferIdx2);
        const size_t b2 = std::max(bufferIdx1, bufferIdx2);
        if (b1 == b2 || b2 > mAuxBuffersPerLeaf) return false;
        if (b1 == 0) {
            if (this->isConstTree()) return false;
            mTask = std::bind(&LeafManager::doSwapLeafBuffer, ph::_1, ph::_2, b2-1);
        } else {
            mTask = std::bind(&LeafManager::doSwapAuxBuffer, ph::_1, ph::_2, b1-1, b2-1);
        }
        this->cook(serial ? 0 : 512);
        return true;//success
    }

    /// @brief Sync up the specified auxiliary buffer with the corresponding leaf node buffer.
    /// @return @c true if the sync was successful
    /// @param bufferIdx index of the buffer that will contain a
    ///                  copy of the corresponding leaf node buffer
    /// @param serial    if false, sync buffers in parallel using multiple threads.
    /// @note Recall that the indexing of auxiliary buffers is 1-based, since
    /// buffer index 0 denotes the leaf node buffer.  So buffer index 1 denotes
    /// the first auxiliary buffer.
    bool syncAuxBuffer(size_t bufferIdx, bool serial = false)
    {
        namespace ph = std::placeholders;
        if (bufferIdx == 0 || bufferIdx > mAuxBuffersPerLeaf) return false;
        mTask = std::bind(&LeafManager::doSyncAuxBuffer, ph::_1, ph::_2, bufferIdx - 1);
        this->cook(serial ? 0 : 64);
        return true;//success
    }

    /// @brief Sync up all auxiliary buffers with their corresponding leaf node buffers.
    /// @return true if the sync was successful
    /// @param serial  if false, sync buffers in parallel using multiple threads.
    bool syncAllBuffers(bool serial = false)
    {
        namespace ph = std::placeholders;
        switch (mAuxBuffersPerLeaf) {
            case 0: return false;//nothing to do
            case 1: mTask = std::bind(&LeafManager::doSyncAllBuffers1, ph::_1, ph::_2); break;
            case 2: mTask = std::bind(&LeafManager::doSyncAllBuffers2, ph::_1, ph::_2); break;
            default: mTask = std::bind(&LeafManager::doSyncAllBuffersN, ph::_1, ph::_2); break;
        }
        this->cook(serial ? 0 : 64);
        return true;//success
    }

    /// @brief   Threaded method that applies a user-supplied functor
    ///          to each leaf node in the LeafManager.
    ///
    /// @details The user-supplied functor needs to define the methods
    ///          required for tbb::parallel_for.
    ///
    /// @param op        user-supplied functor, see examples for interface details.
    /// @param threaded  optional toggle to disable threading, on by default.
    /// @param grainSize optional parameter to specify the grainsize
    ///                  for threading, one by default.
    ///
    /// @warning The functor object is deep-copied to create TBB tasks.
    ///          This allows the function to use non-thread-safe members
    ///          like a ValueAccessor.
    ///
    /// @par Example:
    /// @code
    /// // Functor to offset a tree's voxel values with values from another tree.
    /// template<typename TreeType>
    /// struct OffsetOp
    /// {
    ///     using Accessor = tree::ValueAccessor<const TreeType>;
    ///
    ///     OffsetOp(const TreeType& tree): mRhsTreeAcc(tree) {}
    ///
    ///     template <typename LeafNodeType>
    ///     void operator()(LeafNodeType &lhsLeaf, size_t) const
    ///     {
    ///         const LeafNodeType *rhsLeaf = mRhsTreeAcc.probeConstLeaf(lhsLeaf.origin());
    ///         if (rhsLeaf) {
    ///             typename LeafNodeType::ValueOnIter iter = lhsLeaf.beginValueOn();
    ///             for (; iter; ++iter) {
    ///                 iter.setValue(iter.getValue() + rhsLeaf->getValue(iter.pos()));
    ///             }
    ///         }
    ///     }
    ///     Accessor mRhsTreeAcc;
    /// };
    ///
    /// // usage:
    /// tree::LeafManager<FloatTree> leafNodes(lhsTree);
    /// leafNodes.foreach(OffsetOp<FloatTree>(rhsTree));
    ///
    /// // A functor that performs a min operation between different auxiliary buffers.
    /// template<typename LeafManagerType>
    /// struct MinOp
    /// {
    ///     using BufferType = typename LeafManagerType::BufferType;
    ///
    ///     MinOp(LeafManagerType& leafNodes): mLeafs(leafNodes) {}
    ///
    ///     template <typename LeafNodeType>
    ///     void operator()(LeafNodeType &leaf, size_t leafIndex) const
    ///     {
    ///         // get the first buffer
    ///         BufferType& buffer = mLeafs.getBuffer(leafIndex, 1);
    ///
    ///         // min ...
    ///     }
    ///     LeafManagerType& mLeafs;
    /// };
    /// @endcode
    template<typename LeafOp>
    void foreach(const LeafOp& op, bool threaded = true, size_t grainSize=1)
    {
        LeafTransformer<LeafOp> transform(op);
        transform.run(this->leafRange(grainSize), threaded);
    }

    /// @brief   Threaded method that applies a user-supplied functor
    ///          to each leaf node in the LeafManager. Unlike foreach
    ///          (defined above) this method performs a reduction on
    ///          all the leaf nodes.
    ///
    /// @details The user-supplied functor needs to define the methods
    ///          required for tbb::parallel_reduce.
    ///
    /// @param op        user-supplied functor, see examples for interface details.
    /// @param threaded  optional toggle to disable threading, on by default.
    /// @param grainSize optional parameter to specify the grainsize
    ///                  for threading, one by default.
    ///
    /// @warning The functor object is deep-copied to create TBB tasks.
    ///          This allows the function to use non-thread-safe members
    ///          like a ValueAccessor.
    ///
    /// @par Example:
    /// @code
    /// // Functor to count the number of negative (active) leaf values
    /// struct CountOp
    /// {
    ///     CountOp() : mCounter(0) {}
    ///     CountOp(const CountOp &other) : mCounter(other.mCounter) {}
    ///     CountOp(const CountOp &other, tbb::split) : mCounter(0) {}
    ///     template <typename LeafNodeType>
    ///     void operator()(LeafNodeType &leaf, size_t)
    ///     {
    ///       typename LeafNodeType::ValueOnIter iter = leaf.beginValueOn();
    ///       for (; iter; ++iter) if (*iter < 0.0f) ++mCounter;
    ///     }
    ///     void join(const CountOp &other) {mCounter += other.mCounter;}
    ///     size_t mCounter;
    /// };
    ///
    /// // usage:
    /// tree::LeafManager<FloatTree> leafNodes(tree);
    /// MinValueOp min;
    /// leafNodes.reduce(min);
    /// std::cerr << "Number of negative active voxels = " << min.mCounter << std::endl;
    ///
    /// @endcode
    template<typename LeafOp>
    void reduce(LeafOp& op, bool threaded = true, size_t grainSize=1)
    {
        LeafReducer<LeafOp> transform(op);
        transform.run(this->leafRange(grainSize), threaded);
    }

    /// @brief Generate a linear array of prefix sums of offsets into the
    /// active voxels in the leafs. So @a offsets[n]+m is the offset to the
    /// mth active voxel in the nth leaf node (useful for
    /// user-managed value buffers, e.g. in tools/LevelSetAdvect.h).
    /// @return The total number of active values in the leaf nodes
    /// @param offsets    array of prefix sums of offsets to active voxels
    /// @param size       on input, the size of @a offsets; on output, its new size
    /// @param grainSize  optional grain size for threading
    /// @details If @a offsets is @c nullptr or @a size is smaller than the
    /// total number of active voxels (the return value) then @a offsets
    /// is reallocated and @a size equals the total number of active voxels.
    size_t getPrefixSum(size_t*& offsets, size_t& size, size_t grainSize=1) const
    {
        if (offsets == nullptr || size < mLeafCount) {
            delete [] offsets;
            offsets = new size_t[mLeafCount];
            size = mLeafCount;
        }
        size_t prefix = 0;
        if ( grainSize > 0 ) {
            PrefixSum tmp(this->leafRange( grainSize ), offsets, prefix);
        } else {// serial
            for (size_t i=0; i<mLeafCount; ++i) {
                offsets[i] = prefix;
                prefix += mLeafs[i]->onVoxelCount();
            }
        }
        return prefix;
    }

    ////////////////////////////////////////////////////////////////////////////////////
    // All methods below are for internal use only and should never be called directly

    /// Used internally by tbb::parallel_for() - never call it directly!
    void operator()(const RangeType& r) const
    {
        if (mTask) mTask(const_cast<LeafManager*>(this), r);
        else OPENVDB_THROW(ValueError, "task is undefined");
    }

private:

    void initLeafArray(bool serial = false)
    {
        // Build an array of all nodes that have leaf nodes as their immediate children

        using NodeChainT = typename NodeChain<RootNodeType, RootNodeType::LEVEL>::Type;
        using NonConstLeafParentT = typename NodeChainT::template Get</*Level=*/1>;
        using LeafParentT = typename CopyConstness<TreeType, NonConstLeafParentT>::Type;

        std::deque<LeafParentT*> leafParents;
        if constexpr(std::is_same<NonConstLeafParentT, RootNodeType>::value) {
            leafParents.emplace_back(&mTree->root());
        }
        else {
            mTree->getNodes(leafParents);
        }

        // Compute the leaf counts for each node

        std::vector<Index32> leafCounts;
        if (serial) {
            leafCounts.reserve(leafParents.size());
            for (LeafParentT* leafParent : leafParents) {
                leafCounts.push_back(leafParent->childCount());
            }
        } else {
            leafCounts.resize(leafParents.size());
            tbb::parallel_for(
                // with typical node sizes and SSE enabled, there are only a handful
                // of instructions executed per-operation with a default grainsize
                // of 1, so increase to 64 to reduce parallel scheduling overhead
                tbb::blocked_range<size_t>(0, leafParents.size(), /*grainsize=*/64),
                [&](tbb::blocked_range<size_t>& range)
                {
                    for (size_t i = range.begin(); i < range.end(); i++) {
                        leafCounts[i] = leafParents[i]->childCount();
                    }
                }
            );
        }

        // Turn leaf counts into a cumulative histogram and obtain total leaf count

        for (size_t i = 1; i < leafCounts.size(); i++) {
            leafCounts[i] += leafCounts[i-1];
        }

        const size_t leafCount = leafCounts.empty() ? 0 : leafCounts.back();

        // Allocate (or deallocate) the leaf pointer array

        if (leafCount != mLeafCount) {
            if (leafCount > 0) {
                mLeafPtrs.reset(new LeafType*[leafCount]);
                mLeafs = mLeafPtrs.get();
            } else {
                mLeafPtrs.reset();
                mLeafs = nullptr;
            }
            mLeafCount = leafCount;
        }

        if (mLeafCount == 0)    return;

        // Populate the leaf node pointers

        if (serial) {
            LeafType** leafPtr = mLeafs;
            for (LeafParentT* leafParent : leafParents) {
                for (auto iter = leafParent->beginChildOn(); iter; ++iter) {
                    *leafPtr++ = &iter.getValue();
                }
            }
        } else {
            tbb::parallel_for(
                tbb::blocked_range<size_t>(0, leafParents.size()),
                [&](tbb::blocked_range<size_t>& range)
                {
                    size_t i = range.begin();
                    LeafType** leafPtr = mLeafs;
                    if (i > 0)  leafPtr += leafCounts[i-1];
                    for ( ; i < range.end(); i++) {
                        for (auto iter = leafParents[i]->beginChildOn(); iter; ++iter) {
                            *leafPtr++ = &iter.getValue();
                        }
                    }
                }
            );
        }
    }

    void initAuxBuffers(bool serial)
    {
        const size_t auxBufferCount = mLeafCount * mAuxBuffersPerLeaf;
        if (auxBufferCount != mAuxBufferCount) {
            if (auxBufferCount > 0) {
                mAuxBufferPtrs.reset(new NonConstBufferType[auxBufferCount]);
                mAuxBuffers = mAuxBufferPtrs.get();
            } else {
                mAuxBufferPtrs.reset();
                mAuxBuffers = nullptr;
            }
            mAuxBufferCount = auxBufferCount;
        }
        this->syncAllBuffers(serial);
    }

    void cook(size_t grainsize)
    {
        if (grainsize>0) {
            tbb::parallel_for(this->getRange(grainsize), *this);
        } else {
            (*this)(this->getRange());
        }
    }

    void doSwapLeafBuffer(const RangeType& r, size_t auxBufferIdx)
    {
        LeafManagerImpl<LeafManager>::doSwapLeafBuffer(
            r, auxBufferIdx, mLeafs, mAuxBuffers, mAuxBuffersPerLeaf);
    }

    void doSwapAuxBuffer(const RangeType& r, size_t auxBufferIdx1, size_t auxBufferIdx2)
    {
        for (size_t N = mAuxBuffersPerLeaf, n = N*r.begin(), m = N*r.end(); n != m; n+=N) {
            mAuxBuffers[n + auxBufferIdx1].swap(mAuxBuffers[n + auxBufferIdx2]);
        }
    }

    void doSyncAuxBuffer(const RangeType& r, size_t auxBufferIdx)
    {
        for (size_t n = r.begin(), m = r.end(), N = mAuxBuffersPerLeaf; n != m; ++n) {
            mAuxBuffers[n*N + auxBufferIdx] = mLeafs[n]->buffer();
        }
    }

    void doSyncAllBuffers1(const RangeType& r)
    {
        for (size_t n = r.begin(), m = r.end(); n != m; ++n) {
            mAuxBuffers[n] = mLeafs[n]->buffer();
        }
    }

    void doSyncAllBuffers2(const RangeType& r)
    {
        for (size_t n = r.begin(), m = r.end(); n != m; ++n) {
            const BufferType& leafBuffer = mLeafs[n]->buffer();
            mAuxBuffers[2*n  ] = leafBuffer;
            mAuxBuffers[2*n+1] = leafBuffer;
        }
    }

    void doSyncAllBuffersN(const RangeType& r)
    {
        for (size_t n = r.begin(), m = r.end(), N = mAuxBuffersPerLeaf; n != m; ++n) {
            const BufferType& leafBuffer = mLeafs[n]->buffer();
            for (size_t i=n*N, j=i+N; i!=j; ++i) mAuxBuffers[i] = leafBuffer;
        }
    }

    /// @brief Private member class that applies a user-defined
    /// functor to perform parallel_for on all the leaf nodes.
    template<typename LeafOp>
    struct LeafTransformer
    {
        LeafTransformer(const LeafOp &leafOp) : mLeafOp(leafOp)
        {
        }
        void run(const LeafRange &range, bool threaded) const
        {
            threaded ? tbb::parallel_for(range, *this) : (*this)(range);
        }
        void operator()(const LeafRange &range) const
        {
            for (typename LeafRange::Iterator it = range.begin(); it; ++it) mLeafOp(*it, it.pos());
        }
        const LeafOp mLeafOp;
    };// LeafTransformer

    /// @brief Private member class that applies a user-defined
    /// functor to perform parallel_reduce on all the leaf nodes.
    template<typename LeafOp>
    struct LeafReducer
    {
        LeafReducer(LeafOp &leafOp) : mLeafOp(&leafOp)
        {
        }
        LeafReducer(const LeafReducer &other, tbb::split)
            : mLeafOpPtr(std::make_unique<LeafOp>(*(other.mLeafOp), tbb::split()))
            , mLeafOp(mLeafOpPtr.get())
        {
        }
        void run(const LeafRange& range, bool threaded)
        {
            threaded ? tbb::parallel_reduce(range, *this) : (*this)(range);
        }
        void operator()(const LeafRange& range)
        {
            LeafOp &op = *mLeafOp;//local registry
            for (typename LeafRange::Iterator it = range.begin(); it; ++it) op(*it, it.pos());
        }
        void join(const LeafReducer& other) { mLeafOp->join(*(other.mLeafOp)); }
        std::unique_ptr<LeafOp> mLeafOpPtr;
        LeafOp *mLeafOp = nullptr;
    };// LeafReducer

    // Helper class to compute a prefix sum of offsets to active voxels
    struct PrefixSum
    {
        PrefixSum(const LeafRange& r, size_t* offsets, size_t& prefix)
            : mOffsets(offsets)
        {
            tbb::parallel_for( r, *this);
            for (size_t i=0, leafCount = r.size(); i<leafCount; ++i) {
                size_t tmp = offsets[i];
                offsets[i] = prefix;
                prefix += tmp;
            }
        }
        inline void operator()(const LeafRange& r) const {
            for (typename LeafRange::Iterator i = r.begin(); i; ++i) {
                mOffsets[i.pos()] = i->onVoxelCount();
            }
        }
        size_t* mOffsets;
    };// PrefixSum

    using FuncType = typename std::function<void (LeafManager*, const RangeType&)>;

    TreeType*                           mTree;
    size_t                              mLeafCount, mAuxBufferCount, mAuxBuffersPerLeaf;
    std::unique_ptr<LeafType*[]>        mLeafPtrs;
    LeafType**                          mLeafs = nullptr;//array of LeafNode pointers
    std::unique_ptr<NonConstBufferType[]> mAuxBufferPtrs;
    NonConstBufferType*                 mAuxBuffers = nullptr;//array of auxiliary buffers
    FuncType                            mTask = nullptr;
};//end of LeafManager class


// Partial specializations of LeafManager methods for const trees
template<typename TreeT>
struct LeafManagerImpl<LeafManager<const TreeT> >
{
    using ManagerT = LeafManager<const TreeT>;
    using RangeT = typename ManagerT::RangeType;
    using LeafT = typename ManagerT::LeafType;
    using BufT = typename ManagerT::BufferType;

    static inline void doSwapLeafBuffer(const RangeT&, size_t /*auxBufferIdx*/,
                                        LeafT**, BufT*, size_t /*bufsPerLeaf*/)
    {
        // Buffers can't be swapped into const trees.
    }
};

} // namespace tree
} // namespace OPENVDB_VERSION_NAME
} // namespace openvdb

#endif // OPENVDB_TREE_LEAFMANAGER_HAS_BEEN_INCLUDED