MultiGridOctreeData.h

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/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.
 
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are permitted provided that the following conditions are met:
 
Redistributions of source code must retain the above copyright notice, this list of
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// [COMMENTS]
// -- Throughout the code, should make a distinction between indices and offsets
// -- Make an instance of _Evaluate that samples the finite-elements correctly (specifically, to handle the boundaries)
// -- Make functions like depthAndOffset parity dependent (ideally all "depth"s should be relative to the B-Slpline resolution
// -- Make all points relative to the unit-cube, regardless of degree parity
// -- It's possible that for odd degrees, the iso-surfacing will fail because the leaves in the SortedTreeNodes do not form a partition of space
// -- [MAYBE] Treat normal field as a sum of delta functions, rather than a smoothed signal (again, so that high degrees aren't forced to generate smooth reconstructions)
// -- [MAYBE] Make the degree of the B-Spline with which the normals are splatted independent of the degree of the FEM system. (This way, higher degree systems aren't forced to generate smoother normal fields.)
 
// [TODO]
// -- Currently, the implementation assumes that the boundary constraints are the same for vector fields and scalar fields
// -- Fix up the ordering in the divergence evaluation
 
#ifndef MULTI_GRID_OCTREE_DATA_INCLUDED
#define MULTI_GRID_OCTREE_DATA_INCLUDED
 
#define NEW_CODE 1
#define NEW_NEW_CODE 0      // Enabling this ensures that all the nodes contained in the support of the normal field are in the tree
 
#define DATA_DEGREE 1       // The order of the B-Spline used to splat in data for color interpolation
#define WEIGHT_DEGREE 2     // The order of the B-Spline used to splat in the weights for density estimation
#define NORMAL_DEGREE 2     // The order of the B-Spline used to splat int the normals for constructing the Laplacian constraints
 
//#define MAX_MEMORY_GB 15
#define MAX_MEMORY_GB 0
 
#define GRADIENT_DOMAIN_SOLUTION 1  // Given the constraint vector-field V(p), there are two ways to solve for the coefficients, x, of the indicator function
                                    // with respect to the B-spline basis {B_i(p)}
                                    // 1] Find x minimizing:
                                    //          || V(p) - \sum_i \nabla x_i B_i(p) ||^2
                                    //      which is solved by the system A_1x = b_1 where:
                                    //          A_1[i,j] = < \nabla B_i(p) , \nabla B_j(p) >
                                    //          b_1[i]   = < \nabla B_i(p) , V(p) >
                                    // 2] Formulate this as a Poisson equation:
                                    //          \sum_i x_i \Delta B_i(p) = \nabla \cdot V(p)
                                    //      which is solved by the system A_2x = b_2 where:
                                    //          A_2[i,j] = - < \Delta B_i(p) , B_j(p) >
                                    //          b_2[i]   = - < B_i(p) , \nabla \cdot V(p) >
                                    // Although the two system matrices should be the same (assuming that the B_i satisfy dirichlet/neumann boundary conditions)
                                    // the constraint vectors can differ when V does not satisfy the Neumann boundary conditions:
                                    //      A_1[i,j] = \int_R < \nabla B_i(p) , \nabla B_j(p) >
                                    //               = \int_R [ \nabla \cdot ( B_i(p) \nabla B_j(p) ) - B_i(p) \Delta B_j(p) ]
                                    //               = \int_dR < N(p) , B_i(p) \nabla B_j(p) > + A_2[i,j]
                                    // and the first integral is zero if either f_i is zero on the boundary dR or the derivative of B_i across the boundary is zero.
                                    // However, for the constraints we have:
                                    //      b_1(i)   = \int_R < \nabla B_i(p) , V(p) >
                                    //               = \int_R [ \nabla \cdot ( B_i(p) V(p) ) - B_i(p) \nabla \cdot V(p) ]
                                    //               = \int_dR < N(p) ,  B_i(p) V(p) > + b_2[i]
                                    // In particular, this implies that if the B_i satisfy the Neumann boundary conditions (rather than Dirichlet),
                                    // and V is not zero across the boundary, then the two constraints are different.
                                    // Forcing the < V(p) , N(p) > = 0 on the boundary, by killing off the component of the vector-field in the normal direction
                                    // (FORCE_NEUMANN_FIELD), makes the two systems equal, and the value of this flag should be immaterial.
                                    // Note that under interpretation 1, we have:
                                    //      \sum_i b_1(i) = < \nabla \sum_ i B_i(p) , V(p) > = 0
                                    // because the B_i's sum to one. However, in general, we could have
                                    //      \sum_i b_2(i) \neq 0.
                                    // This could cause trouble because the constant functions are in the kernel of the matrix A, so CG will misbehave if the constraint
                                    // has a non-zero DC term. (Again, forcing < V(p) , N(p) > = 0 along the boundary resolves this problem.)
 
#define FORCE_NEUMANN_FIELD 1       // This flag forces the normal component across the boundary of the integration domain to be zero.
                                    // This should be enabled if GRADIENT_DOMAIN_SOLUTION is not, so that CG doesn't run into trouble.
 
#if !FORCE_NEUMANN_FIELD
#pragma message( "[WARNING] Not zeroing out normal component on boundary" )
#endif // !FORCE_NEUMANN_FIELD
 
#include "Hash.h"
#include "BSplineData.h"
#include "PointStream.h"
 
#ifndef _OPENMP
int omp_get_num_procs( void ){ return 1; }
int omp_get_thread_num( void ){ return 0; }
#endif // _OPENMP
 
class TreeNodeData
{
public:
    static size_t NodeCount;
    int nodeIndex;
    char flags;
 
    TreeNodeData( void );
    ~TreeNodeData( void );
};
 
class VertexData
{
    typedef OctNode< TreeNodeData > TreeOctNode;
public:
    static const int VERTEX_COORDINATE_SHIFT = ( sizeof( long long ) * 8 ) / 3;
    static long long   EdgeIndex( const TreeOctNode* node , int eIndex , int maxDepth , int index[DIMENSION] );
    static long long   EdgeIndex( const TreeOctNode* node , int eIndex , int maxDepth );
    static long long   FaceIndex( const TreeOctNode* node , int fIndex , int maxDepth,int index[DIMENSION] );
    static long long   FaceIndex( const TreeOctNode* node , int fIndex , int maxDepth );
    static long long CornerIndex( const TreeOctNode* node , int cIndex , int maxDepth , int index[DIMENSION] );
    static long long CornerIndex( const TreeOctNode* node , int cIndex , int maxDepth );
    static long long CenterIndex( const TreeOctNode* node , int maxDepth , int index[DIMENSION] );
    static long long CenterIndex( const TreeOctNode* node , int maxDepth );
    static long long CornerIndex( int depth , const int offSet[DIMENSION] , int cIndex , int maxDepth , int index[DIMENSION] );
    static long long CenterIndex( int depth , const int offSet[DIMENSION] , int maxDepth , int index[DIMENSION] );
    static long long CornerIndexKey( const int index[DIMENSION] );
};
 
// This class stores the octree nodes, sorted by depth and then by z-slice.
// To support primal representations, the initializer takes a function that
// determines if a node should be included/indexed in the sorted list.
class SortedTreeNodes
{
    typedef OctNode< TreeNodeData > TreeOctNode;
protected:
    Pointer( Pointer( int ) ) _sliceStart;
    int _levels;
public:
    Pointer( TreeOctNode* ) treeNodes;
    int begin( int depth ) const{ return _sliceStart[depth][0]; }
    int   end( int depth ) const{ return _sliceStart[depth][(size_t)1<<depth]; }
    int begin( int depth , int slice ) const{ return _sliceStart[depth][slice  ]  ; }
    int   end( int depth , int slice ) const{ if(depth<0||depth>=_levels||slice<0||slice>=(1<<depth)) printf( "uh oh\n" ) ; return _sliceStart[depth][slice+1]; }
    int size( void ) const { return _sliceStart[_levels-1][(size_t)1<<(_levels-1)]; }
    int size( int depth ) const { if(depth<0||depth>=_levels) printf( "uhoh\n" ); return _sliceStart[depth][(size_t)1<<depth] - _sliceStart[depth][0]; }
    int size( int depth , int slice ) const { return _sliceStart[depth][slice+1] - _sliceStart[depth][slice]; }
    int levels( void ) const { return _levels; }
 
    SortedTreeNodes( void );
    ~SortedTreeNodes( void );
    void set( TreeOctNode& root , std::vector< int >* map );
    void set( TreeOctNode& root );
 
    template< int Indices >
    struct  _Indices
    {
        int idx[Indices];
        _Indices( void ){ memset( idx , -1 , sizeof( int ) * Indices ); }
        int& operator[] ( int i ) { return idx[i]; }
        const int& operator[] ( int i ) const { return idx[i]; }
    };
    typedef _Indices< Square::CORNERS > SquareCornerIndices;
    typedef _Indices< Square::EDGES > SquareEdgeIndices;
    typedef _Indices< Square::FACES > SquareFaceIndices;
 
    struct SliceTableData
    {
        Pointer( SquareCornerIndices ) cTable;
        Pointer( SquareEdgeIndices   ) eTable;
        Pointer( SquareFaceIndices   ) fTable;
        int cCount , eCount , fCount , nodeOffset , nodeCount;
        SliceTableData( void ){ fCount = eCount = cCount = 0 , cTable = NullPointer( SquareCornerIndices ) , eTable = NullPointer( SquareEdgeIndices ) , fTable = NullPointer( SquareFaceIndices ) , _cMap = _eMap = _fMap = NullPointer( int ); }
        ~SliceTableData( void ){ clear(); }
        void clear( void ){ DeletePointer( cTable ) ; DeletePointer( eTable ) ; DeletePointer( fTable ) ; fCount = eCount = cCount = 0; }
        SquareCornerIndices& cornerIndices( const TreeOctNode* node );
        SquareCornerIndices& cornerIndices( int idx );
        const SquareCornerIndices& cornerIndices( const TreeOctNode* node ) const;
        const SquareCornerIndices& cornerIndices( int idx ) const;
        SquareEdgeIndices& edgeIndices( const TreeOctNode* node );
        SquareEdgeIndices& edgeIndices( int idx );
        const SquareEdgeIndices& edgeIndices( const TreeOctNode* node ) const;
        const SquareEdgeIndices& edgeIndices( int idx ) const;
        SquareFaceIndices& faceIndices( const TreeOctNode* node );
        SquareFaceIndices& faceIndices( int idx );
        const SquareFaceIndices& faceIndices( const TreeOctNode* node ) const;
        const SquareFaceIndices& faceIndices( int idx ) const;
    protected:
        Pointer( int ) _cMap;
        Pointer( int ) _eMap;
        Pointer( int ) _fMap;
        friend class SortedTreeNodes;
    };
    struct XSliceTableData
    {
        Pointer( SquareCornerIndices ) eTable;
        Pointer( SquareEdgeIndices ) fTable;
        int fCount , eCount , nodeOffset , nodeCount;
        XSliceTableData( void ){ fCount = eCount = 0 , eTable = NullPointer( SquareCornerIndices ) , fTable = NullPointer( SquareEdgeIndices ) , _eMap = _fMap = NullPointer( int ); }
        ~XSliceTableData( void ){ clear(); }
        void clear( void ) { DeletePointer( fTable ) ; DeletePointer( eTable ) ; fCount = eCount = 0; }
        SquareCornerIndices& edgeIndices( const TreeOctNode* node );
        SquareCornerIndices& edgeIndices( int idx );
        const SquareCornerIndices& edgeIndices( const TreeOctNode* node ) const;
        const SquareCornerIndices& edgeIndices( int idx ) const;
        SquareEdgeIndices& faceIndices( const TreeOctNode* node );
        SquareEdgeIndices& faceIndices( int idx );
        const SquareEdgeIndices& faceIndices( const TreeOctNode* node ) const;
        const SquareEdgeIndices& faceIndices( int idx ) const;
    protected:
        Pointer( int ) _eMap;
        Pointer( int ) _fMap;
        friend class SortedTreeNodes;
    };
    void setSliceTableData (  SliceTableData& sData , int depth , int offset , int threads ) const;
    void setXSliceTableData( XSliceTableData& sData , int depth , int offset , int threads ) const;
};
 
template< int Degree >
struct PointSupportKey : public OctNode< TreeNodeData >::NeighborKey< BSplineEvaluationData< Degree >::SupportEnd , -BSplineEvaluationData< Degree >::SupportStart >
{
    static const int LeftRadius  =  BSplineEvaluationData< Degree >::SupportEnd;
    static const int RightRadius = -BSplineEvaluationData< Degree >::SupportStart;
    static const int Size = LeftRadius + RightRadius + 1;
};
template< int Degree >
struct ConstPointSupportKey : public OctNode< TreeNodeData >::ConstNeighborKey< BSplineEvaluationData< Degree >::SupportEnd , -BSplineEvaluationData< Degree >::SupportStart >
{
    static const int LeftRadius  =  BSplineEvaluationData< Degree >::SupportEnd;
    static const int RightRadius = -BSplineEvaluationData< Degree >::SupportStart;
    static const int Size = LeftRadius + RightRadius + 1;
};
 
template< class Real >
struct PointData
{
    Point3D< Real > position;
    Real weightedCoarserDValue;
    Real weight;
    PointData( Point3D< Real > p=Point3D< Real >() , Real w=0 ) { position = p , weight = w , weightedCoarserDValue = Real(0); }
};
template< class Data , int Degree >
struct SparseNodeData
{
    std::vector< int > indices;
    std::vector< Data > data;
    template< class TreeNodeData >
    int index( const OctNode< TreeNodeData >* node ) const { return ( !node || node->nodeData.nodeIndex<0 || node->nodeData.nodeIndex>=(int)indices.size() ) ? -1 : indices[ node->nodeData.nodeIndex ]; }
#if NEW_NEW_CODE
    int index( int nodeIndex ) const { return ( nodeIndex<0 || nodeIndex>=(int)indices.size() ) ? -1 : indices[ nodeIndex ]; }
#endif // NEW_NEW_CODE
    void resize( size_t sz ){ indices.resize( sz , -1 ); }
    void remapIndices( const std::vector< int >& map )
    {
        std::vector< int > temp = indices;
        indices.resize( map.size() );
        for( size_t i=0 ; i<map.size() ; i++ )
            if( map[i]<(int)temp.size() ) indices[i] = temp[ map[i] ];
            else                          indices[i] = -1;
    }
};
template< class Data , int Degree >
struct DenseNodeData
{
    Pointer( Data ) data;
    DenseNodeData( void ) { data = NullPointer( Data ); }
    DenseNodeData( size_t sz ){ if( sz ) data = NewPointer< Data >( sz ) ; else data = NullPointer( Data ); }
    void resize( size_t sz ){ DeletePointer( data ) ; if( sz ) data = NewPointer< Data >( sz ) ; else data = NullPointer( Data ); }
    Data& operator[] ( int idx ) { return data[idx]; }
    const Data& operator[] ( int idx ) const { return data[idx]; }
};
 
template< class C , int N > struct Stencil{ C values[N][N][N]; };
 
template< int Degree1 , int Degree2 >
class SystemCoefficients
{
    typedef typename BSplineIntegrationData< Degree1 , Degree2 >::FunctionIntegrator FunctionIntegrator;
    static const int OverlapSize  = BSplineIntegrationData< Degree1 , Degree2 >::OverlapSize;
    static const int OverlapStart = BSplineIntegrationData< Degree1 , Degree2 >::OverlapStart;
    static const int OverlapEnd   = BSplineIntegrationData< Degree1 , Degree2 >::OverlapEnd;
public:
    static double GetLaplacian  ( const typename FunctionIntegrator::     Integrator& integrator , const int off1[3] , const int off2[3] );
    static double GetLaplacian  ( const typename FunctionIntegrator::ChildIntegrator& integrator , const int off1[3] , const int off2[3] );
    static double GetDivergence1( const typename FunctionIntegrator::     Integrator& integrator , const int off1[3] , const int off2[3] , Point3D< double > normal1 );
    static double GetDivergence1( const typename FunctionIntegrator::ChildIntegrator& integrator , const int off1[3] , const int off2[3] , Point3D< double > normal1 );
    static double GetDivergence2( const typename FunctionIntegrator::     Integrator& integrator , const int off1[3] , const int off2[3] , Point3D< double > normal2 );
    static double GetDivergence2( const typename FunctionIntegrator::ChildIntegrator& integrator , const int off1[3] , const int off2[3] , Point3D< double > normal2 );
    static Point3D< double > GetDivergence1 ( const typename FunctionIntegrator::     Integrator& integrator , const int off1[3] , const int off2[3] );
    static Point3D< double > GetDivergence1 ( const typename FunctionIntegrator::ChildIntegrator& integrator , const int off1[3] , const int off2[3] );
    static Point3D< double > GetDivergence2 ( const typename FunctionIntegrator::     Integrator& integrator , const int off1[3] , const int off2[3] );
    static Point3D< double > GetDivergence2 ( const typename FunctionIntegrator::ChildIntegrator& integrator , const int off1[3] , const int off2[3] );
    static void SetCentralDivergenceStencil ( const typename FunctionIntegrator::     Integrator& integrator , Stencil< Point3D< double > , OverlapSize >& stencil , bool scatter );
    static void SetCentralDivergenceStencils( const typename FunctionIntegrator::ChildIntegrator& integrator , Stencil< Point3D< double > , OverlapSize > stencil[2][2][2] , bool scatter );
    static void SetCentralLaplacianStencil  ( const typename FunctionIntegrator::     Integrator& integrator , Stencil< double , OverlapSize >& stencil );
    static void SetCentralLaplacianStencils ( const typename FunctionIntegrator::ChildIntegrator& integrator , Stencil< double , OverlapSize > stencil[2][2][2] );
};
 
// Note that throughout this code, the "depth" parameter refers to the depth in the octree, not the corresponding depth
// of the B-Spline element
template< class Real >
class Octree
{
    typedef OctNode< TreeNodeData > TreeOctNode;
public:
    template< int FEMDegree > static void FunctionIndex( const TreeOctNode* node , int idx[3] );
 
    typedef typename TreeOctNode::     NeighborKey< 1 , 1 >      AdjacenctNodeKey;
    typedef typename TreeOctNode::ConstNeighborKey< 1 , 1 > ConstAdjacenctNodeKey;
 
    template< class V >
    struct ProjectiveData
    {
        V v;
        Real w;
        ProjectiveData( V vv=V(0) , Real ww=Real(0) ) : v(vv) , w(ww) { }
        operator V (){ return w!=0 ? v/w : v*w; }
        ProjectiveData& operator += ( const ProjectiveData& p ){ v += p.v , w += p.w ; return *this; }
        ProjectiveData& operator -= ( const ProjectiveData& p ){ v -= p.v , w -= p.w ; return *this; }
        ProjectiveData& operator *= ( Real s ){ v *= s , w *= s ; return *this; }
        ProjectiveData& operator /= ( Real s ){ v /= s , w /= s ; return *this; }
        ProjectiveData operator + ( const ProjectiveData& p ) const { return ProjectiveData( v+p.v , w+p.w ); }
        ProjectiveData operator - ( const ProjectiveData& p ) const { return ProjectiveData( v-p.v , w-p.w ); }
        ProjectiveData operator * ( Real s ) const { return ProjectiveData( v*s , w*s ); }
        ProjectiveData operator / ( Real s ) const { return ProjectiveData( v/s , w/s ); }
    };
    template< int FEMDegree > static bool IsValidNode( const TreeOctNode* node , bool dirichlet );
protected:
    template< int FEMDegree > bool _IsValidNode( const TreeOctNode* node ) const { return node && ( node->nodeData.flags & ( 1<<( FEMDegree&1 ) ) ) ; }
 
    TreeOctNode _tree;
    TreeOctNode* _spaceRoot;
    SortedTreeNodes _sNodes;
    int _splatDepth;
    int _maxDepth;
    int _minDepth;
    int _fullDepth;
    bool _constrainValues;
    bool _dirichlet;
    Real _scale;
    Point3D< Real > _center;
    int _multigridDegree;
 
    bool _InBounds( Point3D< Real > ) const;
    template< int FEMDegree > static int _Dimension( int depth ){ return BSplineData< FEMDegree >::Dimension( depth-1 ); }
    static int _Resolution( int depth ){ return 1<<(depth-1); }
    template< int FEMDegree > static bool _IsInteriorlySupported( int d , int x , int y , int z )
    {
        if( d-1>=0 )
        {
            int begin , end;
            BSplineEvaluationData< FEMDegree >::InteriorSupportedSpan( d-1 , begin , end );
            return ( x>=begin && x<end && y>=begin && y<end && z>=begin && z<end );
        }
        else return false;
    }
    template< int FEMDegree > static bool _IsInteriorlySupported( const TreeOctNode* node )
    {
        if( !node ) return false;
        int d , off[3];
        node->depthAndOffset( d , off );
        return _IsInteriorlySupported< FEMDegree >( d , off[0] , off[1] , off[2] );
    }
    template< int FEMDegree1 , int FEMDegree2 > static bool _IsInteriorlyOverlapped( int d , int x , int y , int z )
    {
        if( d-1>=0 )
        {
            int begin , end;
            BSplineIntegrationData< FEMDegree1 , FEMDegree2 >::InteriorOverlappedSpan( d-1 , begin , end );
            return ( x>=begin && x<end && y>=begin && y<end && z>=begin && z<end );
        }
        else return false;
    }
    template< int FEMDegree1 , int FEMDegree2 > static bool _IsInteriorlyOverlapped( const TreeOctNode* node )
    {
        if( !node ) return false;
        int d , off[3];
        node->depthAndOffset( d , off );
        return _IsInteriorlyOverlapped< FEMDegree1 , FEMDegree2 >( d , off[0] , off[1] , off[2] );
    }
    static void _DepthAndOffset( const TreeOctNode* node , int& d , int off[3] ){ node->depthAndOffset( d , off ) ; d -= 1; }
    static int  _Depth( const TreeOctNode* node ){ return node->depth()-1; }
    static void _StartAndWidth( const TreeOctNode* node , Point3D< Real >& start , Real& width )
    {
        int d , off[3];
        _DepthAndOffset( node , d , off );
        if( d>=0 ) width = Real( 1.0 / (1<<  d ) );
        else       width = Real( 1.0 * (1<<(-d)) );
        for( int dd=0 ; dd<DIMENSION ; dd++ ) start[dd] = Real( off[dd] ) * width;
    }
    static void _CenterAndWidth( const TreeOctNode* node , Point3D< Real >& center , Real& width )
    {
        int d , off[3];
        _DepthAndOffset( node , d , off );
        width = Real( 1.0 / (1<<d) );
        for( int dd=0 ; dd<DIMENSION ; dd++ ) center[dd] = Real( off[dd] + 0.5 ) * width;
    }
    template< int LeftRadius , int RightRadius >
    static typename TreeOctNode::ConstNeighbors< LeftRadius + RightRadius + 1 >& _Neighbors( TreeOctNode::ConstNeighborKey< LeftRadius , RightRadius >& key , int depth ){ return key.neighbors[ depth + 1 ]; }
    template< int LeftRadius , int RightRadius >
    static typename TreeOctNode::Neighbors< LeftRadius + RightRadius + 1 >& _Neighbors( TreeOctNode::NeighborKey< LeftRadius , RightRadius >& key , int depth ){ return key.neighbors[ depth + 1 ]; }
    template< int LeftRadius , int RightRadius >
    static const typename TreeOctNode::template Neighbors< LeftRadius + RightRadius + 1 >& _Neighbors( const typename TreeOctNode::template NeighborKey< LeftRadius , RightRadius >& key , int depth ){ return key.neighbors[ depth + 1 ]; }
    template< int LeftRadius , int RightRadius >
    static const typename TreeOctNode::template ConstNeighbors< LeftRadius + RightRadius + 1 >& _Neighbors( const typename TreeOctNode::template ConstNeighborKey< LeftRadius , RightRadius >& key , int depth ){ return key.neighbors[ depth + 1 ]; }
 
    static void _SetFullDepth( TreeOctNode* node , int depth );
    void _setFullDepth( int depth );
 
    // System construction code       //
    // MultiGridOctreeData.System.inl //
    template< int FEMDegree >
    void _setMultiColorIndices( int start , int end , std::vector< std::vector< int > >& indices ) const;
    template< int FEMDegree >
    int _SolveSystemGS( const BSplineData< FEMDegree >& bsData , SparseNodeData< PointData< Real > , 0 >& pointInfo , int depth , DenseNodeData< Real , FEMDegree >& solution , DenseNodeData< Real , FEMDegree >& constraints , DenseNodeData< Real , FEMDegree >& metSolutionConstraints , int iters , bool coarseToFine , bool showResidual=false , double* bNorm2=NULL , double* inRNorm2=NULL , double* outRNorm2=NULL , bool forceSilent=false );
    template< int FEMDegree >
    int _SolveSystemCG( const BSplineData< FEMDegree >& bsData , SparseNodeData< PointData< Real > , 0 >& pointInfo , int depth , DenseNodeData< Real , FEMDegree >& solution , DenseNodeData< Real , FEMDegree >& constraints , DenseNodeData< Real , FEMDegree >& metSolutionConstraints , int iters , bool coarseToFine , bool showResidual=false , double* bNorm2=NULL , double* inRNorm2=NULL , double* outRNorm2=NULL , double accuracy=0 );
    template< int FEMDegree >
    int _SetMatrixRow( const SparseNodeData< PointData< Real > , 0 >& pointInfo , const typename TreeOctNode::Neighbors< BSplineIntegrationData< FEMDegree , FEMDegree >::OverlapSize >& neighbors , Pointer( MatrixEntry< Real > ) row , int offset , const typename BSplineIntegrationData< FEMDegree , FEMDegree >::FunctionIntegrator::Integrator& integrator , const Stencil< double , BSplineIntegrationData< FEMDegree , FEMDegree >::OverlapSize >& stencil , const BSplineData< FEMDegree >& bsData ) const;
    template< int FEMDegree >
    int _GetMatrixRowSize( const typename TreeOctNode::Neighbors< BSplineIntegrationData< FEMDegree , FEMDegree >::OverlapSize >& neighbors ) const;
 
    template< int FEMDegree1 , int FEMDegree2 > static void _SetParentOverlapBounds( const TreeOctNode* node , int& startX , int& endX , int& startY , int& endY , int& startZ , int& endZ );
    template< int FEMDegree >
    void _UpdateConstraintsFromCoarser( const SparseNodeData< PointData< Real > , 0 >& pointInfo , const typename TreeOctNode::Neighbors< BSplineIntegrationData< FEMDegree , FEMDegree >::OverlapSize >& neighbors , const typename TreeOctNode::Neighbors< BSplineIntegrationData< FEMDegree , FEMDegree >::OverlapSize >& pNeighbors , TreeOctNode* node , DenseNodeData< Real , FEMDegree >& constraints , const DenseNodeData< Real , FEMDegree >& metSolution , const typename BSplineIntegrationData< FEMDegree , FEMDegree >::FunctionIntegrator::ChildIntegrator& childIntegrator , const Stencil< double , BSplineIntegrationData< FEMDegree , FEMDegree >::OverlapSize >& stencil , const BSplineData< FEMDegree >& bsData ) const;
    // Updates the constraints @(depth-1) based on the solution coefficients @(depth)
    template< int FEMDegree >
    void _UpdateConstraintsFromFiner( const typename BSplineIntegrationData< FEMDegree , FEMDegree >::FunctionIntegrator::ChildIntegrator& childIntegrator , const BSplineData< FEMDegree >& bsData , int highDepth , const DenseNodeData< Real , FEMDegree >& fineSolution , DenseNodeData< Real , FEMDegree >& coarseConstraints ) const;
    // Evaluate the points @(depth) using coefficients @(depth-1)
    template< int FEMDegree >
    void _SetPointValuesFromCoarser( SparseNodeData< PointData< Real > , 0 >& pointInfo , int highDepth , const BSplineData< FEMDegree >& bsData , const DenseNodeData< Real , FEMDegree >& upSampledCoefficients );
    // Evalutes the solution @(depth) at the points @(depth-1) and updates the met constraints @(depth-1)
    template< int FEMDegree >
    void _SetPointConstraintsFromFiner( const SparseNodeData< PointData< Real > , 0 >& pointInfo , int highDepth , const BSplineData< FEMDegree >& bsData , const DenseNodeData< Real , FEMDegree >& finerCoefficients , DenseNodeData< Real , FEMDegree >& metConstraints ) const;
    template< int FEMDegree >
    Real _CoarserFunctionValue( Point3D< Real > p , const PointSupportKey< FEMDegree >& neighborKey , const TreeOctNode* node , const BSplineData< FEMDegree >& bsData , const DenseNodeData< Real , FEMDegree >& upSampledCoefficients ) const;
    template< int FEMDegree >
    Real _FinerFunctionValue  ( Point3D< Real > p , const PointSupportKey< FEMDegree >& neighborKey , const TreeOctNode* node , const BSplineData< FEMDegree >& bsData , const DenseNodeData< Real , FEMDegree >& coefficients ) const;
    template< int FEMDegree >
    int _GetSliceMatrixAndUpdateConstraints( const SparseNodeData< PointData< Real > , 0 >& pointInfo , SparseMatrix< Real >& matrix , DenseNodeData< Real , FEMDegree >& constraints , typename BSplineIntegrationData< FEMDegree , FEMDegree >::FunctionIntegrator::Integrator& integrator , typename BSplineIntegrationData< FEMDegree , FEMDegree >::FunctionIntegrator::ChildIntegrator& childIntegrator , const BSplineData< FEMDegree >& bsData , int depth , int slice , const DenseNodeData< Real , FEMDegree >& metSolution , bool coarseToFine );
    template< int FEMDegree >
    int _GetMatrixAndUpdateConstraints( const SparseNodeData< PointData< Real > , 0 >& pointInfo , SparseMatrix< Real >& matrix , DenseNodeData< Real , FEMDegree >& constraints , typename BSplineIntegrationData< FEMDegree , FEMDegree >::FunctionIntegrator::Integrator& integrator , typename BSplineIntegrationData< FEMDegree , FEMDegree >::FunctionIntegrator::ChildIntegrator& childIntegrator , const BSplineData< FEMDegree >& bsData , int depth , const DenseNodeData< Real , FEMDegree >* metSolution , bool coarseToFine );
 
    // Down samples constraints @(depth) to constraints @(depth-1)
    template< class C , int FEMDegree > void _DownSample( int highDepth , DenseNodeData< C , FEMDegree >& constraints ) const;
    // Up samples coefficients @(depth-1) to coefficients @(depth)
    template< class C , int FEMDegree > void _UpSample( int highDepth , DenseNodeData< C , FEMDegree >& coefficients ) const;
    template< class C , int FEMDegree > static void _UpSample( int highDepth , ConstPointer( C ) lowCoefficients , Pointer( C ) highCoefficients , bool dirichlet , int threads );
 
    // Code for splatting point-sample data    //
    // MultiGridOctreeData.WeightedSamples.inl //
    template< int WeightDegree >
    void _AddWeightContribution( SparseNodeData< Real , WeightDegree >& densityWeights , TreeOctNode* node , Point3D< Real > position , PointSupportKey< WeightDegree >& weightKey , Real weight=Real(1.0) );
    template< int WeightDegree >
    Real _GetSamplesPerNode( const SparseNodeData< Real , WeightDegree >& densityWeights , const TreeOctNode* node , Point3D< Real > position , ConstPointSupportKey< WeightDegree >& weightKey ) const;
    template< int WeightDegree >
    Real _GetSamplesPerNode( const SparseNodeData< Real , WeightDegree >& densityWeights ,       TreeOctNode* node , Point3D< Real > position ,      PointSupportKey< WeightDegree >& weightKey );
    template< int WeightDegree >
    void _GetSampleDepthAndWeight( const SparseNodeData< Real , WeightDegree >& densityWeights , const TreeOctNode* node , Point3D< Real > position , ConstPointSupportKey< WeightDegree >& weightKey , Real& depth , Real& weight ) const;
    template< int WeightDegree >
    void _GetSampleDepthAndWeight( const SparseNodeData< Real , WeightDegree >& densityWeights ,       TreeOctNode* node , Point3D< Real > position ,      PointSupportKey< WeightDegree >& weightKey , Real& depth , Real& weight );
public:
    template< int WeightDegree >
    void _GetSampleDepthAndWeight( const SparseNodeData< Real , WeightDegree >& densityWeights , Point3D< Real > position ,      PointSupportKey< WeightDegree >& weightKey , Real& depth , Real& weight );
    template< int WeightDegree >
    void _GetSampleDepthAndWeight( const SparseNodeData< Real , WeightDegree >& densityWeights , Point3D< Real > position , ConstPointSupportKey< WeightDegree >& weightKey , Real& depth , Real& weight );
protected:
    template< int DataDegree , class V > void _SplatPointData( TreeOctNode* node , Point3D< Real > point , V v , SparseNodeData< V , DataDegree >& data , PointSupportKey< DataDegree >& dataKey );
    template< int WeightDegree , int DataDegree , class V > Real      _SplatPointData( const SparseNodeData< Real , WeightDegree >& densityWeights , Point3D< Real > point , V v , SparseNodeData< V , DataDegree >& data , PointSupportKey< WeightDegree >& weightKey , PointSupportKey< DataDegree >& dataKey , int minDepth , int maxDepth , int dim=DIMENSION );
    template< int WeightDegree , int DataDegree , class V > void _MultiSplatPointData( const SparseNodeData< Real , WeightDegree >* densityWeights , Point3D< Real > point , V v , SparseNodeData< V , DataDegree >& data , PointSupportKey< WeightDegree >& weightKey , PointSupportKey< DataDegree >& dataKey , int maxDepth , int dim=DIMENSION );
    template< class V , int DataDegree > V _Evaluate( const DenseNodeData< V , DataDegree >& coefficients , Point3D< Real > p , const BSplineData< DataDegree >& bsData , const ConstPointSupportKey< DataDegree >& neighborKey ) const;
    template< class V , int DataDegree > V _Evaluate( const SparseNodeData< V , DataDegree >& coefficients , Point3D< Real > p , const BSplineData< DataDegree >& bsData , const ConstPointSupportKey< DataDegree >& dataKey ) const;
public:
    template< class V , int DataDegree > V Evaluate( const  DenseNodeData< V , DataDegree >& coefficients , Point3D< Real > p , const BSplineData< DataDegree >& bsData ) const;
    template< class V , int DataDegree > V Evaluate( const SparseNodeData< V , DataDegree >& coefficients , Point3D< Real > p , const BSplineData< DataDegree >& bsData ) const;
    template< class V , int DataDegree > Pointer( V ) Evaluate( const DenseNodeData< V , DataDegree >& coefficients , int& res , Real isoValue=0.f , int depth=-1 , bool primal=false );
 
    template< int NormalDegree > int _HasNormals( TreeOctNode* node , const SparseNodeData< Point3D< Real > , NormalDegree >& normalInfo );
    void _MakeComplete( void );
    void _SetValidityFlags( void );
    template< int NormalDegree > void _ClipTree( const SparseNodeData< Point3D< Real > , NormalDegree >& normalInfo );
 
    // Evaluation Methods             //
    // MultiGridOctreeData.Evaluation //
    static const int CHILDREN = Cube::CORNERS;
    template< int FEMDegree >
    struct _Evaluator
    {
        typename BSplineEvaluationData< FEMDegree >::Evaluator evaluator;
        typename BSplineEvaluationData< FEMDegree >::ChildEvaluator childEvaluator;
        Stencil< double , BSplineEvaluationData< FEMDegree >::SupportSize > cellStencil;
        Stencil< double , BSplineEvaluationData< FEMDegree >::SupportSize > cellStencils  [CHILDREN];
        Stencil< double , BSplineEvaluationData< FEMDegree >::SupportSize > edgeStencil             [Cube::EDGES  ];
        Stencil< double , BSplineEvaluationData< FEMDegree >::SupportSize > edgeStencils  [CHILDREN][Cube::EDGES  ];
        Stencil< double , BSplineEvaluationData< FEMDegree >::SupportSize > faceStencil             [Cube::FACES  ];
        Stencil< double , BSplineEvaluationData< FEMDegree >::SupportSize > faceStencils  [CHILDREN][Cube::FACES  ];
        Stencil< double , BSplineEvaluationData< FEMDegree >::SupportSize > cornerStencil           [Cube::CORNERS];
        Stencil< double , BSplineEvaluationData< FEMDegree >::SupportSize > cornerStencils[CHILDREN][Cube::CORNERS];
 
        Stencil< Point3D< double > , BSplineEvaluationData< FEMDegree >::SupportSize > dCellStencil;
        Stencil< Point3D< double > , BSplineEvaluationData< FEMDegree >::SupportSize > dCellStencils  [CHILDREN];
        Stencil< Point3D< double > , BSplineEvaluationData< FEMDegree >::SupportSize > dEdgeStencil             [Cube::EDGES  ];
        Stencil< Point3D< double > , BSplineEvaluationData< FEMDegree >::SupportSize > dEdgeStencils  [CHILDREN][Cube::EDGES  ];
        Stencil< Point3D< double > , BSplineEvaluationData< FEMDegree >::SupportSize > dFaceStencil             [Cube::FACES  ];
        Stencil< Point3D< double > , BSplineEvaluationData< FEMDegree >::SupportSize > dFaceStencils  [CHILDREN][Cube::FACES  ];
        Stencil< Point3D< double > , BSplineEvaluationData< FEMDegree >::SupportSize > dCornerStencil           [Cube::CORNERS];
        Stencil< Point3D< double > , BSplineEvaluationData< FEMDegree >::SupportSize > dCornerStencils[CHILDREN][Cube::CORNERS];
        void set( int depth , bool dirichlet );
    };
    template< class V , int FEMDegree >
    V _getCenterValue( const ConstPointSupportKey< FEMDegree >& neighborKey , const TreeOctNode* node ,              const DenseNodeData< V , FEMDegree >& solution , const DenseNodeData< V , FEMDegree >& metSolution , const _Evaluator< FEMDegree >& evaluator , bool isInterior ) const;
    template< class V , int FEMDegree >
    V _getCornerValue( const ConstPointSupportKey< FEMDegree >& neighborKey , const TreeOctNode* node , int corner , const DenseNodeData< V , FEMDegree >& solution , const DenseNodeData< V , FEMDegree >& metSolution , const _Evaluator< FEMDegree >& evaluator , bool isInterior ) const;
    template< class V , int FEMDegree >
    V _getEdgeValue  ( const ConstPointSupportKey< FEMDegree >& neighborKey , const TreeOctNode* node , int edge   , const DenseNodeData< V , FEMDegree >& solution , const DenseNodeData< V , FEMDegree >& metSolution , const _Evaluator< FEMDegree >& evaluator , bool isInterior ) const;
 
    template< int FEMDegree >
    std::pair< Real , Point3D< Real > > _getCornerValueAndGradient( const ConstPointSupportKey< FEMDegree >& neighborKey , const TreeOctNode* node , int corner , const DenseNodeData< Real , FEMDegree >& solution , const DenseNodeData< Real , FEMDegree >& metSolution , const _Evaluator< FEMDegree >& evaluator , bool isInterior ) const;
    template< int FEMDegree >
    std::pair< Real , Point3D< Real > > _getEdgeValueAndGradient  ( const ConstPointSupportKey< FEMDegree >& neighborKey , const TreeOctNode* node , int edge   , const DenseNodeData< Real , FEMDegree >& solution , const DenseNodeData< Real , FEMDegree >& metSolution , const _Evaluator< FEMDegree >& evaluator , bool isInterior ) const;
 
    // Iso-Surfacing Methods              //
    // MultiGridOctreeData.IsoSurface.inl //
    struct IsoEdge
    {
        long long edges[2];
        IsoEdge( void ){ edges[0] = edges[1] = 0; }
        IsoEdge( long long v1 , long long v2 ){ edges[0] = v1 , edges[1] = v2; }
        long long& operator[]( int idx ){ return edges[idx]; }
        const long long& operator[]( int idx ) const { return edges[idx]; }
    };
    struct FaceEdges
    {
        IsoEdge edges[2];
        int count;
    };
    template< class Vertex >
    struct SliceValues
    {
        typename SortedTreeNodes::SliceTableData sliceData;
        Pointer( Real ) cornerValues ; Pointer( Point3D< Real > ) cornerGradients ; Pointer( char ) cornerSet;
        Pointer( long long ) edgeKeys ; Pointer( char ) edgeSet;
        Pointer( FaceEdges ) faceEdges ; Pointer( char ) faceSet;
        Pointer( char ) mcIndices;
        hash_map< long long , std::vector< IsoEdge > > faceEdgeMap;
        hash_map< long long , std::pair< int , Vertex > > edgeVertexMap;
        hash_map< long long , long long > vertexPairMap;
 
        SliceValues( void );
        ~SliceValues( void );
        void reset( bool nonLinearFit );
    protected:
        int _oldCCount , _oldECount , _oldFCount , _oldNCount;
    };
    template< class Vertex >
    struct XSliceValues
    {
        typename SortedTreeNodes::XSliceTableData xSliceData;
        Pointer( long long ) edgeKeys ; Pointer( char ) edgeSet;
        Pointer( FaceEdges ) faceEdges ; Pointer( char ) faceSet;
        hash_map< long long , std::vector< IsoEdge > > faceEdgeMap;
        hash_map< long long , std::pair< int , Vertex > > edgeVertexMap;
        hash_map< long long , long long > vertexPairMap;
 
        XSliceValues( void );
        ~XSliceValues( void );
        void reset( void );
    protected:
        int _oldECount , _oldFCount;
    };
    template< class Vertex >
    struct SlabValues
    {
        XSliceValues< Vertex > _xSliceValues[2];
        SliceValues< Vertex > _sliceValues[2];
        SliceValues< Vertex >& sliceValues( int idx ){ return _sliceValues[idx&1]; }
        const SliceValues< Vertex >& sliceValues( int idx ) const { return _sliceValues[idx&1]; }
        XSliceValues< Vertex >& xSliceValues( int idx ){ return _xSliceValues[idx&1]; }
        const XSliceValues< Vertex >& xSliceValues( int idx ) const { return _xSliceValues[idx&1]; }
    };
    template< class Vertex , int FEMDegree >
    void SetSliceIsoCorners( const DenseNodeData< Real , FEMDegree >& solution , const DenseNodeData< Real , FEMDegree >& coarseSolution , Real isoValue , int depth , int slice ,         std::vector< SlabValues< Vertex > >& sValues , const _Evaluator< FEMDegree >& evaluator , int threads );
    template< class Vertex , int FEMDegree >
    void SetSliceIsoCorners( const DenseNodeData< Real , FEMDegree >& solution , const DenseNodeData< Real , FEMDegree >& coarseSolution , Real isoValue , int depth , int slice , int z , std::vector< SlabValues< Vertex > >& sValues , const _Evaluator< FEMDegree >& evaluator , int threads );
    template< int WeightDegree , int ColorDegree , class Vertex >
    void SetSliceIsoVertices( const BSplineData< ColorDegree >* colorBSData , const SparseNodeData< Real , WeightDegree >* densityWeights , const SparseNodeData< ProjectiveData< Point3D< Real > > , ColorDegree >* colorData , Real isoValue , int depth , int slice ,         int& vOffset , CoredMeshData< Vertex >& mesh , std::vector< SlabValues< Vertex > >& sValues , int threads );
    template< int WeightDegree , int ColorDegree , class Vertex >
    void SetSliceIsoVertices( const BSplineData< ColorDegree >* colorBSData , const SparseNodeData< Real , WeightDegree >* densityWeights , const SparseNodeData< ProjectiveData< Point3D< Real > > , ColorDegree >* colorData , Real isoValue , int depth , int slice , int z , int& vOffset , CoredMeshData< Vertex >& mesh , std::vector< SlabValues< Vertex > >& sValues , int threads );
    template< int WeightDegree , int ColorDegree , class Vertex >
    void SetXSliceIsoVertices( const BSplineData< ColorDegree >* colorBSData , const SparseNodeData< Real , WeightDegree >* densityWeights , const SparseNodeData< ProjectiveData< Point3D< Real > > , ColorDegree >* colorData , Real isoValue , int depth , int slab , int& vOffset , CoredMeshData< Vertex >& mesh , std::vector< SlabValues< Vertex > >& sValues , int threads );
    template< class Vertex >
    void CopyFinerSliceIsoEdgeKeys( int depth , int slice ,         std::vector< SlabValues< Vertex > >& sValues , int threads );
    template< class Vertex >
    void CopyFinerSliceIsoEdgeKeys( int depth , int slice , int z , std::vector< SlabValues< Vertex > >& sValues , int threads );
    template< class Vertex >
    void CopyFinerXSliceIsoEdgeKeys( int depth , int slab , std::vector< SlabValues< Vertex > >& sValues , int threads );
    template< class Vertex >
    void SetSliceIsoEdges( int depth , int slice ,         std::vector< SlabValues< Vertex > >& slabValues , int threads );
    template< class Vertex >
    void SetSliceIsoEdges( int depth , int slice , int z , std::vector< SlabValues< Vertex > >& slabValues , int threads );
    template< class Vertex >
    void SetXSliceIsoEdges( int depth , int slice , std::vector< SlabValues< Vertex > >& slabValues , int threads );
 
    template< class Vertex >
    void SetIsoSurface( int depth , int offset , const SliceValues< Vertex >& bValues , const SliceValues< Vertex >& fValues , const XSliceValues< Vertex >& xValues , CoredMeshData< Vertex >& mesh , bool polygonMesh , bool addBarycenter , int& vOffset , int threads );
 
    template< class Vertex >
    static int AddIsoPolygons( CoredMeshData< Vertex >& mesh , std::vector< std::pair< int , Vertex > >& polygon , bool polygonMesh , bool addBarycenter , int& vOffset );
 
    template< int WeightDegree , int ColorDegree , class Vertex >
    bool GetIsoVertex( const BSplineData< ColorDegree >* colorBSData , const SparseNodeData< Real , WeightDegree >* densityWeights , const SparseNodeData< ProjectiveData< Point3D< Real > > , ColorDegree >* colorData , Real isoValue , ConstPointSupportKey< WeightDegree >& weightKey , ConstPointSupportKey< ColorDegree >& colorKey , const TreeOctNode* node , int edgeIndex , int z , const SliceValues< Vertex >& sValues , Vertex& vertex );
    template< int WeightDegree , int ColorDegree , class Vertex >
    bool GetIsoVertex( const BSplineData< ColorDegree >* colorBSData , const SparseNodeData< Real , WeightDegree >* densityWeights , const SparseNodeData< ProjectiveData< Point3D< Real > > , ColorDegree >* colorData , Real isoValue , ConstPointSupportKey< WeightDegree >& weightKey , ConstPointSupportKey< ColorDegree >& colorKey , const TreeOctNode* node , int cornerIndex , const SliceValues< Vertex >& bValues , const SliceValues< Vertex >& fValues , Vertex& vertex );
 
public:
    static double maxMemoryUsage;
    int threads;
 
    static double MemoryUsage( void );
    Octree( void );
 
    // After calling set tree, the indices of the octree node will be stored by depth, and within depth they will be sorted by slice
    template< class PointReal , int NormalDegree , int WeightDegree , int DataDegree , class Data , class _Data >
    int SetTree( OrientedPointStream< PointReal >* pointStream , int minDepth , int maxDepth , int fullDepth , int splatDepth , Real samplesPerNode ,
        Real scaleFactor , bool useConfidence , bool useNormalWeight ,
        Real constraintWeight , int adaptiveExponent ,
        SparseNodeData< Real , WeightDegree >& densityWeights , SparseNodeData< PointData< Real > , 0 >& pointInfo , SparseNodeData< Point3D< Real > , NormalDegree >& normalInfo , SparseNodeData< Real , NormalDegree >& nodeWeights ,
        SparseNodeData< ProjectiveData< _Data > , DataDegree >* dataValues ,
        XForm4x4< Real >& xForm , bool dirichlet=false , bool makeComplete=false );
 
    template< int FEMDegree > void EnableMultigrid( std::vector< int >* map );
 
    template< int FEMDegree , int NormalDegree >
    DenseNodeData< Real , FEMDegree > SetLaplacianConstraints( const SparseNodeData< Point3D< Real > , NormalDegree >& normalInfo );
    template< int FEMDegree >
    DenseNodeData< Real , FEMDegree > SolveSystem( SparseNodeData< PointData< Real > , 0 >& pointInfo , DenseNodeData< Real , FEMDegree >& constraints , bool showResidual , int iters , int maxSolveDepth , int cgDepth=0 , double cgAccuracy=0 );
 
    template< int FEMDegree , int NormalDegree >
    Real GetIsoValue( const DenseNodeData< Real , FEMDegree >& solution , const SparseNodeData< Real , NormalDegree >& nodeWeights );
    template< int FEMDegree , int WeightDegree , int ColorDegree , class Vertex >
    void GetMCIsoSurface( const SparseNodeData< Real , WeightDegree >* densityWeights , const SparseNodeData< ProjectiveData< Point3D< Real > > , ColorDegree >* colorData , const DenseNodeData< Real , FEMDegree >& solution , Real isoValue , CoredMeshData< Vertex >& mesh , bool nonLinearFit=true , bool addBarycenter=false , bool polygonMesh=false );
 
    const TreeOctNode& tree( void ) const{ return _tree; }
    size_t leaves( void ) const { return _tree.leaves(); }
    size_t nodes( void ) const { return _tree.nodes(); }
};
 
template< class Real >
void Reset( void )
{
    TreeNodeData::NodeCount=0;
    Octree< Real >::maxMemoryUsage = 0;
}
 
#include "MultiGridOctreeData.inl"
#include "MultiGridOctreeData.SortedTreeNodes.inl"
#include "MultiGridOctreeData.WeightedSamples.inl"
#include "MultiGridOctreeData.System.inl"
#include "MultiGridOctreeData.IsoSurface.inl"
#include "MultiGridOctreeData.Evaluation.inl"
#endif // MULTI_GRID_OCTREE_DATA_INCLUDED