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/*=========================================================================
 Authors: Michael Kazhdan and Matthew Bolitho
 at Johns Hopkins University, 2006-10

 Copyright (c) 2006-10, Michael Kazhdan and Matthew Bolitho,
 Johns Hopkins University.
 All rights reserved.

 Redistribution and use in source and binary forms, with or without
 modification, are permitted provided that the following conditions are met:

 Redistributions of source code must retain the above copyright notice,
 this list of conditions and the following disclaimer.
 Redistributions in binary form must reproduce the above copyright notice,
 this list of conditions and the following disclaimer in the documentation
 and/or other materials provided with the distribution.
 Neither the name of the Johns Hopkins University nor the names of its
 contributors may be used to endorse or promote products derived from this
 software without specific prior written permission.

 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,
 THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
 PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS
 BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY,
 OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT
 OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
 OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
 WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
 OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
 ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
=========================================================================*/

#ifndef MULTI_GRID_OCTREE_DATA_INCLUDED
#define MULTI_GRID_OCTREE_DATA_INCLUDED

#include "Hash.h"
#include "Octree.h"
#include "SparseMatrix.h"
#include "FunctionData.h"
#include "time.h"

#include <vtkSmartPointer.h>
#include <vtkPolyData.h>

typedef float                               Real;
typedef float                               FunctionDataReal;
typedef OctNode< class TreeNodeData, Real > TreeOctNode;

class RootInfo
{
public:
  const TreeOctNode *node;
  int                edgeIndex;
  long long          key;
};

class VertexData
{
public:
  static long long EdgeIndex(const TreeOctNode * node, const int &eIndex, const int &maxDepth, int index[DIMENSION]);
  static long long EdgeIndex(const TreeOctNode *node, const int & eIndex, const int & maxDepth);

  static long long FaceIndex(const TreeOctNode * node, const int &fIndex, const int &maxDepth, int index[DIMENSION]);
  static long long FaceIndex(const TreeOctNode *node, const int & fIndex, const int & maxDepth);

  static long long CornerIndex(const int &depth,
                               const int offSet[DIMENSION],
                               const int &cIndex,
                               const int &maxDepth,
                               int index[DIMENSION]);
  static long long CornerIndex(const TreeOctNode * node, const int &cIndex, const int &maxDepth, int index[DIMENSION]);
  static long long CornerIndex(const TreeOctNode *node, const int & cIndex, const int & maxDepth);

  static long long CenterIndex(const int &depth,
                               const int offSet[DIMENSION],
                               const int &maxDepth,
                               int index[DIMENSION]);
  static long long CenterIndex(const TreeOctNode * node, const int &maxDepth, int index[DIMENSION]);
  static long long CenterIndex(const TreeOctNode *node, const int & maxDepth);
};

class SortedTreeNodes
{
public:
  TreeOctNode **treeNodes;
  int *         nodeCount;
  int           maxDepth;
  SortedTreeNodes(void);
  ~SortedTreeNodes(void);
  void set(TreeOctNode & root, const int & setIndex);
};

class TreeNodeData
{
public:
  static int UseIndex;
  union {
    int mcIndex;
    struct {
      int nodeIndex;
      Real centerWeightContribution;
    };
    };
  Real value;

  TreeNodeData();
  ~TreeNodeData();
};

template< int Degree >
class Octree
{
  TreeOctNode::NeighborKey  neighborKey;
  TreeOctNode::NeighborKey2 neighborKey2;

  Real radius;
  int  width;
  void setNodeIndices(TreeOctNode & tree, int & idx);

  Real GetDotProduct(const int index[DIMENSION]) const;

  Real GetLaplacian(const int index[DIMENSION]) const;

  Real GetDivergence(const int index[DIMENSION], const Point3D< Real > & normal) const;

  class DivergenceFunction
  {
public:
    Point3D< Real >   normal;
    Octree< Degree > *ot;
    int               index[DIMENSION], scratch[DIMENSION];
    void Function(TreeOctNode *node1, const TreeOctNode *node2);
  };

  class LaplacianProjectionFunction
  {
public:
    double            value;
    Octree< Degree > *ot;
    int               index[DIMENSION], scratch[DIMENSION];
    void Function(TreeOctNode *node1, const TreeOctNode *node2);
  };
  class LaplacianMatrixFunction
  {
public:
    int                   x2, y2, z2, d2;
    Octree< Degree > *    ot;
    int                   index[DIMENSION], scratch[DIMENSION];
    int                   elementCount, offset;
    MatrixEntry< float > *rowElements;
    int Function(const TreeOctNode *node1, const TreeOctNode *node2);
  };
  class RestrictedLaplacianMatrixFunction
  {
public:
    int                   depth, offset[3];
    Octree< Degree > *    ot;
    Real                  radius;
    int                   index[DIMENSION], scratch[DIMENSION];
    int                   elementCount;
    MatrixEntry< float > *rowElements;
    int Function(const TreeOctNode *node1, const TreeOctNode *node2);
  };

  ///////////////////////////
  // Evaluation Functions  //
  ///////////////////////////
  class PointIndexValueFunction
  {
public:
    int               res2;
    FunctionDataReal *valueTables;
    int               index[DIMENSION];
    Real              value;
    void Function(const TreeOctNode *node);
  };
  class PointIndexValueAndNormalFunction
  {
public:
    int               res2;
    FunctionDataReal *valueTables;
    FunctionDataReal *dValueTables;
    Real              value;
    Point3D< Real >   normal;
    int               index[DIMENSION];
    void Function(const TreeOctNode *node);
  };

  class AdjacencyCountFunction
  {
public:
    int adjacencyCount;
    void Function(const TreeOctNode *node1, const TreeOctNode *node2);
  };
  class AdjacencySetFunction
  {
public:
    int *adjacencies, adjacencyCount;
    void Function(const TreeOctNode *node1, const TreeOctNode *node2);
  };

  class RefineFunction
  {
public:
    int depth;
    void Function(TreeOctNode *node1, const TreeOctNode *node2);
  };
  class FaceEdgesFunction
  {
public:
    int                                                fIndex, maxDepth;
    std::vector< std::pair< long long, long long > > * edges;
    hash_map< long long, std::pair< RootInfo, int > > *vertexCount;
    void Function(const TreeOctNode *node1, const TreeOctNode *node2);
  };

  int SolveFixedDepthMatrix(const int & depth, const SortedTreeNodes & sNodes);

  int SolveFixedDepthMatrix(const int & depth, const int & startingDepth, const SortedTreeNodes & sNodes);

  int GetFixedDepthLaplacian(SparseSymmetricMatrix< float > & matrix, const int & depth, const SortedTreeNodes & sNodes);

  int GetRestrictedFixedDepthLaplacian(SparseSymmetricMatrix< float > & matrix,
                                       const int & depth,
                                       const int *entries,
                                       const int & entryCount,
                                       const TreeOctNode *rNode,
                                       const Real & radius,
                                       const SortedTreeNodes & sNodes);

  void SetIsoSurfaceCorners(const Real & isoValue, const int & subdivisionDepth, const int & fullDepthIso);

  static int IsBoundaryFace(const TreeOctNode *node, const int & faceIndex, const int & subdivideDepth);

  static int IsBoundaryEdge(const TreeOctNode *node, const int & edgeIndex, const int & subdivideDepth);

  static int IsBoundaryEdge(const TreeOctNode *node,
                            const int & dir,
                            const int & x,
                            const int & y,
                            const int & subidivideDepth);

  void PreValidate(const Real & isoValue, const int & maxDepth, const int & subdivideDepth);

  void PreValidate(TreeOctNode *node, const Real & isoValue, const int & maxDepth, const int & subdivideDepth);

  void Validate(TreeOctNode *node,
                const Real & isoValue,
                const int & maxDepth,
                const int & fullDepthIso,
                const int & subdivideDepth);

  void Validate(TreeOctNode *node, const Real & isoValue, const int & maxDepth, const int & fullDepthIso);

  void Subdivide(TreeOctNode *node, const Real & isoValue, const int & maxDepth);

  int SetBoundaryMCRootPositions(const int & sDepth,
                                 const Real & isoValue,
                                 hash_map< long long, int > & boundaryRoots,
                                 hash_map< long long, std::pair< Real, Point3D< Real > > > & boundaryNormalHash,
                                 CoredMeshData *mesh,
                                 const int & nonLinearFit);

  int SetMCRootPositions(TreeOctNode *node,
                         const int & sDepth,
                         const Real & isoValue,
                         hash_map< long long, int > & boundaryRoots,
                         hash_map< long long, int > *interiorRoots,
                         hash_map< long long, std::pair< Real, Point3D< Real > > > & boundaryNormalHash,
                         hash_map< long long, std::pair< Real, Point3D< Real > > > *interiorNormalHash,
                         std::vector< Point3D< float > > *interiorPositions,
                         CoredMeshData *mesh,
                         const int & nonLinearFit);

  int GetMCIsoTriangles(TreeOctNode *node,
                        CoredMeshData *mesh,
                        hash_map< long long, int > & boundaryRoots,
                        hash_map< long long, int > *interiorRoots,
                        std::vector< Point3D< float > > *interiorPositions,
                        const int & offSet,
                        const int & sDepth,
                        bool addBarycenter);

  static int AddTriangles(CoredMeshData *mesh,
                          std::vector< CoredPointIndex > edges[3],
                          std::vector< Point3D< float > > *interiorPositions,
                          const int & offSet);

  static int AddTriangles(CoredMeshData *mesh,
                          std::vector< CoredPointIndex > & edges,
                          std::vector< Point3D< float > > *interiorPositions,
                          const int & offSet,
                          bool addBarycenter);

  void GetMCIsoEdges(TreeOctNode *node,
                     hash_map< long long, int > & boundaryRoots,
                     hash_map< long long, int > *interiorRoots,
                     const int & sDepth,
                     std::vector< std::pair< long long, long long > > & edges);

  static int GetEdgeLoops(std::vector< std::pair< long long, long long > > & edges,
                          std::vector< std::vector< std::pair< long long, long long > > > & loops);

  static int InteriorFaceRootCount(const TreeOctNode *node, const int & faceIndex, const int & maxDepth);

  static int EdgeRootCount(const TreeOctNode *node, const int & edgeIndex, const int & maxDepth);

  int GetRoot(const RootInfo & ri,
              const Real & isoValue,
              const int & maxDepth,
              Point3D< Real > & position,
              hash_map< long long, std::pair< Real, Point3D< Real > > > & normalHash,
              Point3D< Real > *normal,
              const int & nonLinearFit);

  int GetRoot(const RootInfo & ri,
              const Real & isoValue,
              Point3D< Real > & position,
              hash_map< long long, std::pair< Real, Point3D< Real > > > & normalHash,
              const int & nonLinearFit);

  static int GetRootIndex(const TreeOctNode *node, const int & edgeIndex, const int & maxDepth, RootInfo & ri);

  static int GetRootIndex(const TreeOctNode *node,
                          const int & edgeIndex,
                          const int & maxDepth,
                          const int & sDepth,
                          RootInfo & ri);

  static int GetRootIndex(const long long & key,
                          hash_map< long long, int > & boundaryRoots,
                          hash_map< long long, int > *interiorRoots,
                          CoredPointIndex & index);

  static int GetRootPair(const RootInfo & root, const int & maxDepth, RootInfo & pair);

  int NonLinearUpdateWeightContribution( TreeOctNode *node, const Point3D< Real > & position, const Real & weight =
                                           Real(
                                             1.0) );

  Real NonLinearGetSampleWeight(TreeOctNode *node, const Point3D< Real > & position);

  void NonLinearGetSampleDepthAndWeight(TreeOctNode *node,
                                        const Point3D< Real > & position,
                                        const Real & samplesPerNode,
                                        Real & depth,
                                        Real & weight);

  int NonLinearSplatOrientedPoint(TreeOctNode *node, const Point3D< Real > & point, const Point3D< Real > & normal);

  void NonLinearSplatOrientedPoint(const Point3D< Real > & point,
                                   const Point3D< Real > & normal,
                                   const int & kernelDepth,
                                   const Real & samplesPerNode,
                                   const int & minDepth,
                                   const int & maxDepth);

  int HasNormals(TreeOctNode *node, const Real & epsilon);

  Real getCenterValue(const TreeOctNode *node);

  Real getCornerValue(const TreeOctNode *node, const int & corner);

  void getCornerValueAndNormal(const TreeOctNode *node, const int & corner, Real & value, Point3D< Real > & normal);

public:
//	static double maxMemoryUsage;
//static double MemoryUsage(void);
  std::vector< Point3D< Real > > *         normals;
  Real                                     postNormalSmooth;
  TreeOctNode                              tree;
  FunctionData< Degree, FunctionDataReal > fData;
  Octree(void);

  void setFunctionData(const PPolynomial< Degree > & ReconstructionFunction,
                       const int & maxDepth,
                       const int & normalize,
                       const Real & normalSmooth = -1);

  void finalize1(const int & refineNeighbors = -1);

  void finalize2(const int & refineNeighbors = -1);

  int setTree(vtkSmartPointer< vtkPolyData > data,
              const int & maxDepth,
              const int & kernelDepth,
              const Real & samplesPerNode,
              const Real & scaleFactor,
              Point3D< Real > & center,
              Real & scale,
              const int & resetSampleDepths,
              const int & useConfidence);

  void SetLaplacianWeights(void);

  void ClipTree(void);

  int LaplacianMatrixIteration(const int & subdivideDepth);

  Real GetIsoValue(void);

  void GetMCIsoTriangles(const Real & isoValue,
                         CoredMeshData *mesh,
                         const int & fullDepthIso = 0,
                         const int & nonLinearFit = 1,
                         bool addBarycenter=false);

  void GetMCIsoTriangles(const Real & isoValue,
                         const int & subdivideDepth,
                         CoredMeshData *mesh,
                         const int & fullDepthIso = 0,
                         const int & nonLinearFit = 1,
                         bool addBarycenter=false);
};

#include "MultiGridOctreeData.inl"
#endif // MULTI_GRID_OCTREE_DATA_INCLUDED