vtkAbstractInterpolatedVelocityField.h

/*=========================================================================

  Program:   Visualization Toolkit
  Module:    vtkAbstractInterpolatedVelocityField.h

  Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
  All rights reserved.
  See Copyright.txt or http://www.kitware.com/Copyright.htm for details.

     This software is distributed WITHOUT ANY WARRANTY; without even
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
     PURPOSE.  See the above copyright notice for more information.

=========================================================================*/
// .NAME vtkAbstractInterpolatedVelocityField - An abstract class for
//  obtaining the interpolated velocity values at a point
//
// .SECTION Description
//  vtkAbstractInterpolatedVelocityField acts as a continuous velocity field
//  by performing cell interpolation on the underlying vtkDataSet. This is an
//  abstract sub-class of vtkFunctionSet, NumberOfIndependentVariables = 4
//  (x,y,z,t) and NumberOfFunctions = 3 (u,v,w). With a brute-force scheme,
//  every time an evaluation is performed, the target cell containing point
//  (x,y,z) needs to be found by calling FindCell(), via either vtkDataSet or
//  vtkAbstractCelllocator's sub-classes (vtkCellLocator & vtkModifiedBSPTree).
//  As it incurs a large cost, one (for vtkCellLocatorInterpolatedVelocityField
//  via vtkAbstractCellLocator) or two (for vtkInterpolatedVelocityField via
//  vtkDataSet that involves vtkPointLocator in addressing vtkPointSet) levels
//  of cell caching may be exploited to increase the performance.
//
//  For vtkInterpolatedVelocityField, level #0 begins with intra-cell caching.
//  Specifically if the previous cell is valid and the next point is still in
//  it ( i.e., vtkCell::EvaluatePosition() returns 1, coupled with newly created
//  parametric coordinates & weights ), the function values can be interpolated
//  and only vtkCell::EvaluatePosition() is invoked. If this fails, then level #1
//  follows by inter-cell search for the target cell that contains the next point.
//  By an inter-cell search, the previous cell provides an important clue or serves
//  as an immediate neighbor to aid in locating the target cell via vtkPointSet::
//  FindCell(). If this still fails, a global cell location / search is invoked via
//  vtkPointSet::FindCell(). Here regardless of either inter-cell or global search,
//  vtkPointLocator is in fact employed (for datasets of type vtkPointSet only, note
//  vtkImageData and vtkRectilinearGrid are able to provide rapid and robust cell
//  location due to the simple mesh topology) as a crucial tool underlying the cell
//  locator. However, the use of vtkPointLocator makes vtkInterpolatedVelocityField
//  non-robust in cell location for vtkPointSet.
//
//  For vtkCellLocatorInterpolatedVelocityField, the only caching (level #0) works
//  by intra-cell trial. In case of failure, a global search for the target cell is
//  invoked via vtkAbstractCellLocator::FindCell() and the actual work is done by
//  either vtkCellLocator or vtkModifiedBSPTree (for datasets of type vtkPointSet
//  only, while vtkImageData and vtkRectilinearGrid themselves are able to provide
//  fast robust cell location). Without the involvement of vtkPointLocator, robust
//  cell location is achieved for vtkPointSet.
//
// .SECTION Caveats
//  vtkAbstractInterpolatedVelocityField is not thread safe. A new instance
//  should be created by each thread.

// .SECTION See Also
//  vtkInterpolatedVelocityField vtkCellLocatorInterpolatedVelocityField
//  vtkGenericInterpolatedVelocityField vtkCachingInterpolatedVelocityField
//  vtkTemporalInterpolatedVelocityField vtkFunctionSet vtkStreamTracer

#ifndef vtkAbstractInterpolatedVelocityField_h
#define vtkAbstractInterpolatedVelocityField_h

#include "vtkFunctionSet.h"
//BTX
#include <vector> // STL Header; Required for vector
//ETX

class vtkDataSet;
//BTX
class vtkDataArray;
//ETX
class vtkPointData;
class vtkGenericCell;
class vtkAbstractInterpolatedVelocityFieldDataSetsType;

#include "vtkFiltersFlowPathsModule.h" // For export macro

class VTKFILTERSFLOWPATHS_EXPORT vtkAbstractInterpolatedVelocityField : public vtkFunctionSet
{
public:
  vtkTypeMacro( vtkAbstractInterpolatedVelocityField, vtkFunctionSet );
  void PrintSelf( ostream & os, vtkIndent indent );

  // Description:
  // Set/Get the caching flag. If this flag is turned ON, there are two levels
  // of caching for derived concrete class vtkInterpolatedVelocityField and one
  // level of caching for derived concrete class vtkCellLocatorInterpolatedVelocityField.
  // Otherwise a global cell location is always invoked for evaluating the
  // function values at any point.
  vtkSetMacro( Caching, bool );
  vtkGetMacro( Caching, bool );

  // Description:
  // Get the caching statistics. CacheHit refers to the number of level #0 cache
  // hits while CacheMiss is the number of level #0 cache misses.
  vtkGetMacro( CacheHit, int );
  vtkGetMacro( CacheMiss, int );

  vtkGetObjectMacro( LastDataSet, vtkDataSet );

  // Description:
  // Get/Set the id of the cell cached from last evaluation.
  vtkGetMacro( LastCellId, vtkIdType );
  virtual void SetLastCellId( vtkIdType c ) { this->LastCellId = c; }

  // Description:
  // Set the id of the most recently visited cell of a dataset.
  virtual void SetLastCellId( vtkIdType c, int dataindex ) = 0;

  // Description:
  // Get/Set the name of a spcified vector array. By default it is NULL, with
  // the active vector array for use.
  vtkGetStringMacro( VectorsSelection );
  vtkGetMacro(VectorsType,int);

 // Description:
  // the association type (see vtkDataObject::FieldAssociations)
  // and the name of the velocity data field
  void SelectVectors(int fieldAssociation, const char * fieldName );


  // Description:
  // Set/Get the flag indicating vector post-normalization (following vector
  // interpolation). Vector post-normalization is required to avoid the
  // 'curve-overshooting' problem (caused by high velocity magnitude) that
  // occurs when Cell-Length is used as the step size unit (particularly the
  // Minimum step size unit). Furthermore, it is required by RK45 to achieve,
  // as expected, high numerical accuracy (or high smoothness of flow lines)
  // through adaptive step sizing. Note this operation is performed (when
  // NormalizeVector TRUE) right after vector interpolation such that the
  // differing amount of contribution of each node (of a cell) to the
  // resulting direction of the interpolated vector, due to the possibly
  // significantly-differing velocity magnitude values at the nodes (which is
  // the case with large cells), can be reflected as is. Also note that this
  // flag needs to be turned to FALSE after vtkInitialValueProblemSolver::
  // ComputeNextStep() as subsequent operations, e.g., vorticity computation,
  // may need non-normalized vectors.
  vtkSetMacro( NormalizeVector, bool );
  vtkGetMacro( NormalizeVector, bool );

  // Description:
  // If set to true, the first three point of the cell will be used to compute a normal to the cell,
  // this normal will then be removed from the vorticity so the resulting vector in tangent to the cell.
  vtkSetMacro(ForceSurfaceTangentVector, bool);
  vtkGetMacro(ForceSurfaceTangentVector, bool);

  // Description:
  // If set to true, cell within tolerance factor will always be found, except for edges.
  vtkSetMacro(SurfaceDataset, bool);
  vtkGetMacro(SurfaceDataset, bool);

  // Description:
  // Import parameters. Sub-classes can add more after chaining.
  virtual void CopyParameters( vtkAbstractInterpolatedVelocityField * from )
    { this->Caching = from->Caching; }


  // Description:
  // Evaluate the velocity field f at point (x, y, z).
  virtual int FunctionValues( double * x, double * f ) = 0;

  // Description:
  // Set the last cell id to -1 to incur a global cell search for the next point.
  void ClearLastCellId() { this->LastCellId = -1; }

  // Description:
  // Get the interpolation weights cached from last evaluation. Return 1 if the
  // cached cell is valid and 0 otherwise.
  int GetLastWeights( double * w );
  int GetLastLocalCoordinates( double pcoords[3] );

protected:
  vtkAbstractInterpolatedVelocityField();
  ~vtkAbstractInterpolatedVelocityField();

  static const double TOLERANCE_SCALE;
  static const double SURFACE_TOLERANCE_SCALE;

  int       CacheHit;
  int       CacheMiss;
  int       WeightsSize;
  bool      Caching;
  bool      NormalizeVector;
  bool      ForceSurfaceTangentVector;
  bool      SurfaceDataset;
  int       VectorsType;
  char *    VectorsSelection;
  double *  Weights;
  double    LastPCoords[3];
  int       LastSubId;
  vtkIdType LastCellId;
  vtkDataSet *     LastDataSet;
  vtkGenericCell * Cell;
  vtkGenericCell * GenCell; // the current cell


  // Description:
  // Set the name of a specific vector to be interpolated.
  vtkSetStringMacro( VectorsSelection );

  // Description:
  // Evaluate the velocity field f at point (x, y, z) in a specified dataset
  // by invoking vtkDataSet::FindCell() to locate the next cell if the given
  // point is outside the current cell. To address vtkPointSet, vtkPointLocator
  // is involved via vtkPointSet::FindCell() in vtkInterpolatedVelocityField
  // for cell location. In vtkCellLocatorInterpolatedVelocityField, this function
  // is invoked just to handle vtkImageData and vtkRectilinearGrid that are not
  // assigned with any vtkAbstractCellLocatot-type cell locator.
  // If activated, returned vector will be tangential to the first
  // three point of the cell
  virtual int FunctionValues( vtkDataSet * ds, double * x, double * f );

  // Description:
  // Check that all three pcoords are between 0 and 1 included.
  virtual bool CheckPCoords(double pcoords[3]);

  // Description
  // Try to find the cell closest to provided x point in provided dataset,
  // By first testing inclusion in it's cached cell and neighbor
  // Then testing globally
  // Then , only if surfacic is activated finding the closest cell
  // using FindPoint and comparing distance with tolerance
  virtual bool FindAndUpdateCell(vtkDataSet* ds, double* x);

//BTX
  friend class vtkTemporalInterpolatedVelocityField;
  // Description:
  // If all weights have been computed (parametric coords etc all valid), a
  // scalar/vector can be quickly interpolated using the known weights and
  // the cached generic cell. This function is primarily reserved for use by
  // vtkTemporalInterpolatedVelocityField
  void FastCompute( vtkDataArray * vectors, double f[3] );
  bool InterpolatePoint( vtkPointData * outPD, vtkIdType outIndex );
  vtkGenericCell * GetLastCell()
    { return ( this->LastCellId != -1 ) ? this->GenCell : NULL; }
//ETX

private:
  vtkAbstractInterpolatedVelocityField
    ( const vtkAbstractInterpolatedVelocityField & );  // Not implemented.
  void operator = ( const vtkAbstractInterpolatedVelocityField & );  // Not implemented.
};



#endif