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

  Program:   Visualization Toolkit
  Module:    vtkConvexPointSet.cxx

  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.

=========================================================================*/
#include "vtkConvexPointSet.h"

#include "vtkCellArray.h"
#include "vtkDoubleArray.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
#include "vtkOrderedTriangulator.h"
#include "vtkPointData.h"
#include "vtkPoints.h"
#include "vtkTetra.h"
#include "vtkTriangle.h"

vtkStandardNewMacro(vtkConvexPointSet);

//----------------------------------------------------------------------------
// Construct the hexahedron with eight points.
vtkConvexPointSet::vtkConvexPointSet()
{
  this->Tetra = vtkTetra::New();
  this->TetraIds = vtkIdList::New();
  this->TetraPoints = vtkPoints::New();
  this->TetraScalars = vtkDoubleArray::New();
  this->TetraScalars->SetNumberOfTuples(4);
  this->BoundaryTris = vtkCellArray::New();
  this->BoundaryTris->Allocate(100);
  this->Triangle = vtkTriangle::New();
  this->Triangulator = vtkOrderedTriangulator::New();
  this->Triangulator->PreSortedOff();
  this->Triangulator->UseTemplatesOff();
  this->ParametricCoords = NULL;
}

//----------------------------------------------------------------------------
vtkConvexPointSet::~vtkConvexPointSet()
{
  this->Tetra->Delete();
  this->TetraIds->Delete();
  this->TetraPoints->Delete();
  this->TetraScalars->Delete();
  this->BoundaryTris->Delete();
  this->Triangle->Delete();
  if( this->ParametricCoords )
    {
    this->ParametricCoords->Delete();
    }
}

//----------------------------------------------------------------------------
// Should be called by GetCell() prior to any other method invocation
void vtkConvexPointSet::Initialize()
{
  // Initialize
  vtkIdType numPts = this->GetNumberOfPoints();
  if ( numPts < 1 ) return;

  this->Triangulate(0, this->TetraIds,this->TetraPoints);
}

//----------------------------------------------------------------------------
int vtkConvexPointSet::GetNumberOfFaces()
{
  this->BoundaryTris->Reset();
  this->Triangulator->AddTriangles(this->BoundaryTris);
  return this->BoundaryTris->GetNumberOfCells();
}

//----------------------------------------------------------------------------
vtkCell *vtkConvexPointSet::GetFace(int faceId)
{
  int numCells = this->BoundaryTris->GetNumberOfCells();
  if ( faceId < 0 || faceId >=numCells ) {return NULL;}

  vtkIdType *cells = this->BoundaryTris->GetPointer();

  // Each triangle has three points plus number of points
  vtkIdType *cptr = cells + 4*faceId;
  for (int i=0; i<3; i++)
    {
    this->Triangle->PointIds->SetId(i,this->PointIds->GetId(cptr[i+1]));
    this->Triangle->Points->SetPoint(i,this->Points->GetPoint(cptr[i+1]));
    }

  return this->Triangle;
}

//----------------------------------------------------------------------------
int vtkConvexPointSet::Triangulate(int vtkNotUsed(index), vtkIdList *ptIds,
                                   vtkPoints *pts)
{
  int numPts=this->GetNumberOfPoints();
  int i;
  double x[3];
  vtkIdType ptId;

  // Initialize
  ptIds->Reset();
  pts->Reset();
  if ( numPts < 1 )
    {
    return 0;
    }

  // Initialize Delaunay insertion process.
  // No more than numPts points can be inserted.
  this->Triangulator->InitTriangulation(this->GetBounds(), numPts);

  // Inject cell points into triangulation. Recall that the PreSortedOff()
  // flag was set which means that the triangulator will order the points
  // according to point id. We insert points with id == the index into the
  // vtkConvexPointSet::PointIds and Points; but sort on the global point
  // id.
  for (i=0; i<numPts; i++)
    {
    ptId = this->PointIds->GetId(i);
    this->Points->GetPoint(i, x);
    this->Triangulator->InsertPoint(i, ptId, x, x, 0);
    }//for all points

  // triangulate the points
  this->Triangulator->Triangulate();

  // Add the triangulation to the mesh
  this->Triangulator->AddTetras(0,ptIds,pts);

  return 1;
}

//----------------------------------------------------------------------------
void vtkConvexPointSet::Contour(double value,
                                vtkDataArray *cellScalars,
                                vtkIncrementalPointLocator *locator,
                                vtkCellArray *verts, vtkCellArray *lines,
                                vtkCellArray *polys,
                                vtkPointData *inPd, vtkPointData *outPd,
                                vtkCellData *inCd, vtkIdType cellId,
                                vtkCellData *outCd)
{
  // For each tetra, contour it
  int i, j;
  vtkIdType ptId, localId;
  int numTets = this->TetraIds->GetNumberOfIds() / 4;
  for (i=0; i<numTets; i++)
    {
    for (j=0; j<4; j++)
      {
      localId = this->TetraIds->GetId(4*i+j);
      ptId = this->PointIds->GetId(localId);
      this->Tetra->PointIds->SetId(j,ptId);
      this->Tetra->Points->SetPoint(j,this->TetraPoints->GetPoint(4*i+j));
      this->TetraScalars->SetValue(j,cellScalars->GetTuple1(localId));
      }
    this->Tetra->Contour(value,this->TetraScalars,locator,verts,lines,polys,
                         inPd,outPd,inCd,cellId,outCd);
    }
}


//----------------------------------------------------------------------------
void vtkConvexPointSet::Clip(double value,
                             vtkDataArray *cellScalars,
                             vtkIncrementalPointLocator *locator, vtkCellArray *tets,
                             vtkPointData *inPD, vtkPointData *outPD,
                             vtkCellData *inCD, vtkIdType cellId,
                             vtkCellData *outCD, int insideOut)
{
  // For each tetra, contour it
  int i, j;
  vtkIdType ptId, localId;
  int numTets = this->TetraIds->GetNumberOfIds() / 4;
  for (i=0; i<numTets; i++)
    {
    for (j=0; j<4; j++)
      {
      localId = this->TetraIds->GetId(4*i+j);
      ptId = this->PointIds->GetId(localId);
      this->Tetra->PointIds->SetId(j,ptId);
      this->Tetra->Points->SetPoint(j,this->TetraPoints->GetPoint(4*i+j));
      this->TetraScalars->SetValue(j,cellScalars->GetTuple1(localId));
      }
    this->Tetra->Clip(value,this->TetraScalars,locator,tets,inPD,outPD,inCD,
                      cellId, outCD, insideOut);
    }
}

//----------------------------------------------------------------------------
int vtkConvexPointSet::CellBoundary(int subId, double pcoords[3],
                                    vtkIdList *pts)
{ 
  // This function was re-written to fix bug #9550.
  // Thanks go to Bart Janssens.
  vtkIdType pntIndx;
  for ( int i = 0; i < 4; i ++ )
    {
    pntIndx = this->PointIds
                  ->GetId(  this->TetraIds->GetId( (subId << 2) + i )  );
    this->Tetra->PointIds->SetId( i, pntIndx );
    this->Tetra->Points
        ->SetPoint(  i,  this->TetraPoints->GetPoint( (subId << 2) + i )  );
    }
  
  // find the parametrically nearest triangle.
  return this->Tetra->CellBoundary( subId, pcoords, pts );
}

//----------------------------------------------------------------------------
int vtkConvexPointSet::EvaluatePosition( double x[3],
                                         double * vtkNotUsed(closestPoint),
                                         int & subId, double pcoords[3],
                                         double & minDist2, double * weights )
{
  double pc[3], dist2;
  int ignoreId, i, j, k, returnStatus=0, status;
  double tempWeights[4];
  double closest[3];
  vtkIdType ptId;
  int numPnts = this->GetNumberOfPoints();
  int numTets = this->TetraIds->GetNumberOfIds() >> 2;

  for ( minDist2 = VTK_DOUBLE_MAX, i = 0; i < numTets; i ++ )
    {
    for ( j = 0; j < 4; j ++ )
      {
      ptId = this->PointIds->GetId(  this->TetraIds->GetId( (i << 2) + j )  );
      this->Tetra->PointIds->SetId( j, ptId );
      this->Tetra->Points->SetPoint
            (  j,  this->TetraPoints->GetPoint( (i << 2) + j )  );
      }

    status = this->Tetra->EvaluatePosition( x, closest, ignoreId, pc, dist2,
                                            tempWeights );
    if ( status != -1 && dist2 < minDist2 )
      {
      // init (clear) all the weights since only the vertices of the closest
      // tetrahedron are assigned with valid weights while the rest vertices
      // (of those farther tetrahedra) are simply inited with zero weights
      // (to make no any contribution). This fixes bug #9453
      for ( k = 0; k < numPnts; k ++ )
        {
        weights[k] = 0.0;
        }
        
      returnStatus = status;
      minDist2 = dist2;
      subId = i;
      pcoords[0] = pc[0];
      pcoords[1] = pc[1];
      pcoords[2] = pc[2];
      
      // assign valid weights to the vertices of this closest tetrahedron only
      // This fixes bug #9453.
      weights[  this->TetraIds->GetId( (i << 2)     )  ] = tempWeights[0];
      weights[  this->TetraIds->GetId( (i << 2) + 1 )  ] = tempWeights[1];
      weights[  this->TetraIds->GetId( (i << 2) + 2 )  ] = tempWeights[2];
      weights[  this->TetraIds->GetId( (i << 2) + 3 )  ] = tempWeights[3];
      }
    }

  return returnStatus;
}

//----------------------------------------------------------------------------
void vtkConvexPointSet::EvaluateLocation( int &  subId, double   pcoords[3], 
                                          double x[3],  double * weights )
{
  int       i;
  int       numPnts;
  double    tmpWgts[4];
  vtkIdType pntIndx;

  for ( i = 0; i < 4; i ++ )
    {
    pntIndx = this->PointIds
               ->GetId(  this->TetraIds->GetId( (subId << 2) + i )  );
    this->Tetra->PointIds->SetId( i, pntIndx );
    this->Tetra->Points
        ->SetPoint(  i,  this->TetraPoints->GetPoint( (subId << 2) + i )  );
    }
  
  // use tmpWgts to collect the valid weights of the tetra's four vertices
  this->Tetra->EvaluateLocation( subId, pcoords, x, tmpWgts );
  
  // init the actual array of weights (possibly greater than 4)
  numPnts = this->GetNumberOfPoints();
  for ( i = 0; i < numPnts; i ++ )
    {
    weights[i] = 0.0;
    }
  
  // update the target weights only
  weights[  this->TetraIds->GetId( (subId << 2)     )  ] = tmpWgts[0];
  weights[  this->TetraIds->GetId( (subId << 2) + 1 )  ] = tmpWgts[1];
  weights[  this->TetraIds->GetId( (subId << 2) + 2 )  ] = tmpWgts[2];
  weights[  this->TetraIds->GetId( (subId << 2) + 3 )  ] = tmpWgts[3];
}

//----------------------------------------------------------------------------
int vtkConvexPointSet::IntersectWithLine(double p1[3], double p2[3], double tol, 
                                         double& minT, double x[3], 
                                         double pcoords[3], int& subId)
{
  int subTest, i, j;
  vtkIdType ptId;
  double t, pc[3], xTemp[3];


  int numTets = this->TetraIds->GetNumberOfIds() / 4;
  int status = 0;

  for (minT=VTK_DOUBLE_MAX, i=0; i<numTets; i++)
    {
    for (j=0; j<4; j++)
      {
      ptId = this->PointIds->GetId(this->TetraIds->GetId(4*i+j));
      this->Tetra->PointIds->SetId(j,ptId);
      this->Tetra->Points->SetPoint(j,this->TetraPoints->GetPoint(4*i+j));
      }

    if (this->Tetra->IntersectWithLine(p1,p2,tol,t,xTemp,pc,subTest) &&
      t < minT )
      {
      status = 1;
      subId = i;
      minT = t;
      x[0] = xTemp[0];
      x[1] = xTemp[1];
      x[2] = xTemp[2];
      pcoords[0] = pc[0];
      pcoords[1] = pc[1];
      pcoords[2] = pc[2];
      }
    }

  return status;
}

//----------------------------------------------------------------------------
void vtkConvexPointSet::Derivatives(int subId, double pcoords[3],
                                    double *values, int dim, double *derivs)
{
  vtkIdType ptId;

  for (int j=0; j<4; j++)
    {
    ptId = this->PointIds->GetId(this->TetraIds->GetId(4*subId+j));
    this->Tetra->PointIds->SetId(j,ptId);
    this->Tetra->Points->SetPoint(j,this->TetraPoints->GetPoint(4*subId+j));
    }

  this->Tetra->Derivatives(subId, pcoords, values, dim, derivs);
}

//----------------------------------------------------------------------------
double *vtkConvexPointSet::GetParametricCoords()
{
  int numPts = this->PointIds->GetNumberOfIds();
  if ( ! this->ParametricCoords )
    {
    this->ParametricCoords = vtkDoubleArray::New();
    }

  this->ParametricCoords->SetNumberOfComponents(3);
  this->ParametricCoords->SetNumberOfTuples(numPts);
  double p[3], x[3], *bounds = this->GetBounds();
  int i, j;
  for (i=0; i < numPts; i++)
    {
    this->Points->GetPoint(i, x);
    for (j=0; j<3; j++)
      {
      p[j] = (x[j] - bounds[2*j]) / (bounds[2*j+1] - bounds[2*j]);
      }
    this->ParametricCoords->SetTuple(i,p);
    }

  return this->ParametricCoords->GetPointer(0);
}

//----------------------------------------------------------------------------
void vtkConvexPointSet::InterpolateFunctions(double pcoords[3], double *sf)
{
  (void)pcoords;
  (void)sf;
}

//----------------------------------------------------------------------------
void vtkConvexPointSet::InterpolateDerivs(double pcoords[3], double *derivs)
{
  (void)pcoords;
  (void)derivs;
}

//----------------------------------------------------------------------------
void vtkConvexPointSet::PrintSelf(ostream& os, vtkIndent indent)
{
  this->Superclass::PrintSelf(os,indent);

  os << indent << "Tetra:\n";
  this->Tetra->PrintSelf(os,indent.GetNextIndent());
  os << indent << "TetraIds:\n";
  this->TetraIds->PrintSelf(os,indent.GetNextIndent());
  os << indent << "TetraPoints:\n";
  this->TetraPoints->PrintSelf(os,indent.GetNextIndent());
  os << indent << "TetraScalars:\n";
  this->TetraScalars->PrintSelf(os,indent.GetNextIndent());

  os << indent << "BoundaryTris:\n";
  this->BoundaryTris->PrintSelf(os,indent.GetNextIndent());
  os << indent << "Triangle:\n";
  this->Triangle->PrintSelf(os,indent.GetNextIndent());
  if ( this->ParametricCoords )
    {
    os << indent << "ParametricCoords " << this->ParametricCoords << "\n";
    }
  else
    {
    os << indent << "ParametricCoords: (null)\n";
    }

}
