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

  Program:   Visualization Toolkit
  Module:    vtkDividingCubes.cxx
  Language:  C++
  Date:      $Date$
  Version:   $Revision$


Copyright (c) 1993-1996 Ken Martin, Will Schroeder, Bill Lorensen.

This software is copyrighted by Ken Martin, Will Schroeder and Bill Lorensen.
The following terms apply to all files associated with the software unless
explicitly disclaimed in individual files. This copyright specifically does
not apply to the related textbook "The Visualization Toolkit" ISBN
013199837-4 published by Prentice Hall which is covered by its own copyright.

The authors hereby grant permission to use, copy, and distribute this
software and its documentation for any purpose, provided that existing
copyright notices are retained in all copies and that this notice is included
verbatim in any distributions. Additionally, the authors grant permission to
modify this software and its documentation for any purpose, provided that
such modifications are not distributed without the explicit consent of the
authors and that existing copyright notices are retained in all copies. Some
of the algorithms implemented by this software are patented, observe all
applicable patent law.

IN NO EVENT SHALL THE AUTHORS OR DISTRIBUTORS BE LIABLE TO ANY PARTY FOR
DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES ARISING OUT
OF THE USE OF THIS SOFTWARE, ITS DOCUMENTATION, OR ANY DERIVATIVES THEREOF,
EVEN IF THE AUTHORS HAVE BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

THE AUTHORS AND DISTRIBUTORS SPECIFICALLY DISCLAIM ANY WARRANTIES, INCLUDING,
BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
PARTICULAR PURPOSE, AND NON-INFRINGEMENT.  THIS SOFTWARE IS PROVIDED ON AN
"AS IS" BASIS, AND THE AUTHORS AND DISTRIBUTORS HAVE NO OBLIGATION TO PROVIDE
MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.


=========================================================================*/
#include "vtkDividingCubes.h"
#include "vtkMath.h"
#include "vtkVoxel.h"

// Description:
// Construct object with Value=0.0, Distance=0.1, and Increment=1.
vtkDividingCubes::vtkDividingCubes()
{
  this->Value = 0.0;
  this->Distance = 0.1;
  this->Increment = 1;
  this->Count = 0;
}

static float Normals[8][3]; //voxel normals
static vtkFloatPoints *NewPts; //points being generated
static vtkFloatNormals *NewNormals; //points being generated
static vtkCellArray *NewVerts; //verts being generated
static vtkFloatNormals *SubNormals; //sub-volume normals
static vtkFloatScalars *SubScalars; //sub-volume scalars
static int SubSliceSize;

void vtkDividingCubes::Execute()
{
  int i, j, k, idx;
  vtkScalars *inScalars;
  vtkIdList voxelPts(8); voxelPts.SetNumberOfIds(8);
  vtkFloatScalars voxelScalars(8); voxelScalars.SetNumberOfScalars(8);
  float origin[3], x[3], ar[3], h[3];
  int dim[3], jOffset, kOffset, sliceSize;
  int above, below, vertNum, n[3];
  vtkStructuredPoints *input=(vtkStructuredPoints *)this->Input;
  voxelScalars.ReferenceCountingOff();
  vtkPolyData *output = this->GetOutput();
  
  vtkDebugMacro(<< "Executing dividing cubes...");
//
// Initialize self; check input; create output objects
//
  this->Count = 0;

  // make sure we have scalar data
  if ( ! (inScalars = input->GetPointData()->GetScalars()) )
    {
    vtkErrorMacro(<<"No scalar data to contour");
    return;
    }

  // just deal with volumes
  if ( input->GetDataDimension() != 3 )
    {
    vtkErrorMacro("Bad input: only treats 3D structured point datasets");
    return;
    }
  input->GetDimensions(dim);
  input->GetAspectRatio(ar);
  input->GetOrigin(origin);

  // creating points
  NewPts = new vtkFloatPoints(500000,500000);
  NewNormals = new vtkFloatNormals(500000,500000);
  NewVerts = new vtkCellArray(500000,500000);
  NewVerts->InsertNextCell(0); //temporary cell count
//
// Loop over all cells checking to see which straddle the specified value. Since
// we know that we are working with a volume, can create appropriate data directly.
//
  sliceSize = dim[0] * dim[1];
  for (i=0; i<3; i++) //compute subvoxel widths and subvolume dimensions
    {
    n[i] = ((int) ceil((double)ar[i]/this->Distance)) + 1;
    h[i] = (float)ar[i]/(n[i]-1);
    }

  SubSliceSize = n[0] * n[1];
  SubNormals = new vtkFloatNormals(SubSliceSize*n[2]);
  SubNormals->SetNumberOfNormals(SubSliceSize*n[2]);

  SubScalars = new vtkFloatScalars(SubSliceSize*n[2]);
  SubScalars->SetNumberOfScalars(SubSliceSize*n[2]);

  for ( k=0; k < (dim[2]-1); k++)
    {
    kOffset = k*sliceSize;
    x[2] = origin[2] + k*ar[2];

    for ( j=0; j < (dim[1]-1); j++)
      {
      jOffset = j*dim[0];
      x[1] = origin[1] + j*ar[1];

      for ( i=0; i < (dim[0]-1); i++)
        {
        idx  = i + jOffset + kOffset;
        x[0] = origin[0] + i*ar[0];

        // get point ids of this voxel
        voxelPts.SetId(0, idx);
        voxelPts.SetId(1, idx + 1);
        voxelPts.SetId(2, idx + dim[0]);
        voxelPts.SetId(3, idx + dim[0] + 1);
        voxelPts.SetId(4, idx + sliceSize);
        voxelPts.SetId(5, idx + sliceSize + 1);
        voxelPts.SetId(6, idx + sliceSize + dim[0]);
        voxelPts.SetId(7, idx + sliceSize + dim[0] + 1);

        // get scalars of this voxel
        inScalars->GetScalars(voxelPts,voxelScalars);

        // loop over 8 points of voxel to check if cell straddles value
        for ( above=below=0, vertNum=0; vertNum < 8; vertNum++ )
          {
          if ( voxelScalars.GetScalar(vertNum) >= this->Value )
            above = 1;
          else if ( voxelScalars.GetScalar(vertNum) < this->Value )
            below = 1;

          if ( above && below ) // recursively generate points
            { //compute voxel normals and subdivide
            input->GetPointGradient(i,j,k, inScalars, Normals[0]);
            input->GetPointGradient(i+1,j,k, inScalars, Normals[1]);
            input->GetPointGradient(i,j+1,k, inScalars, Normals[2]);
            input->GetPointGradient(i+1,j+1,k, inScalars, Normals[3]);
            input->GetPointGradient(i,j,k+1, inScalars, Normals[4]);
            input->GetPointGradient(i+1,j,k+1, inScalars, Normals[5]);
            input->GetPointGradient(i,j+1,k+1, inScalars, Normals[6]);
            input->GetPointGradient(i+1,j+1,k+1, inScalars, Normals[7]);

            this->SubDivide(x, n, h, voxelScalars.GetPtr(0));
            }
          }
        }
      }
    }

  NewVerts->UpdateCellCount(NewPts->GetNumberOfPoints());
  vtkDebugMacro(<< "Created " << NewPts->GetNumberOfPoints() << " points");
//
// Update ourselves and release memory
//
  SubNormals->Delete();
  SubScalars->Delete();

  output->SetPoints(NewPts);
  NewPts->Delete();

  output->SetVerts(NewVerts);
  NewVerts->Delete();

  output->GetPointData()->SetNormals(NewNormals);
  NewNormals->Delete();

  output->Squeeze();
}

#define POINTS_PER_POLY_VERTEX 10000

void vtkDividingCubes::SubDivide(float origin[3], int dim[3], float h[3],
                                 float values[8])
{
  int i, j, k, ii, vertNum, id;
  float s;
  int kOffset, jOffset, idx, above, below;
  float p[3], w[8], n[3], *normal, offset[3];
  static vtkIdList subVoxelPts(8); subVoxelPts.SetNumberOfIds(8);
  static vtkVoxel subVoxel;
  static vtkFloatScalars subVoxelScalars(8); subVoxelScalars.SetNumberOfScalars(8);
  static vtkFloatNormals subVoxelNormals(8); subVoxelNormals.SetNumberOfNormals(8);
  subVoxelScalars.ReferenceCountingOff();
  subVoxelScalars.Reset();
  subVoxelNormals.ReferenceCountingOff();
  subVoxelNormals.Reset();

  // Compute normals and scalars on subvoxel array
  for (k=0; k < dim[2]; k++)
    {
    kOffset = k * SubSliceSize;
    p[2] = k * h[2];
    for (j=0; j < dim[1]; j++)
      {
      jOffset = j * dim[0];
      p[1] = j * h[1];
      for (i=0; i < dim[0]; i++)
        {
        idx = i + jOffset + kOffset;
        p[0] = i * h[0];

        subVoxel.InterpolationFunctions(p,w);
        s = n[0] = n[1] = n[2] = 0.0;
        for (ii=0; ii<8; ii++)
          {
          s += values[ii]*w[ii];
          n[0] += Normals[ii][0]*w[ii];
          n[1] += Normals[ii][1]*w[ii];
          n[2] += Normals[ii][2]*w[ii];
          }
        SubScalars->SetScalar(idx,s);
        SubNormals->SetNormal(idx,n);
        }
      }
    }

  // loop over sub-volume determining whether contour passes through subvoxels.
  // If so, generate center point in subvoxel.
  for (i=0; i<3; i++) offset[i] = origin[i] + (h[i] / 2.0);
  for (k=0; k < (dim[2]-1); k++)
    {
    kOffset = k * SubSliceSize;
    p[2] = offset[2] + k * h[2];
    for (j=0; j < (dim[1]-1); j++)
      {
      jOffset = j * dim[0];
      p[1] = offset[1] + j * h[1];
      for (i=0; i < (dim[0]-1); i++)
        {
        idx = i + jOffset + kOffset;
        p[0] = offset[0] + i * h[0];

        // get point ids of this voxel
        subVoxelPts.SetId(0, idx);
        subVoxelPts.SetId(1, idx + 1);
        subVoxelPts.SetId(2, idx + dim[0]);
        subVoxelPts.SetId(3, idx + dim[0] + 1);
        subVoxelPts.SetId(4, idx + SubSliceSize);
        subVoxelPts.SetId(5, idx + SubSliceSize + 1);
        subVoxelPts.SetId(6, idx + SubSliceSize + dim[0]);
        subVoxelPts.SetId(7, idx + SubSliceSize + dim[0] + 1);

        // get scalars of this voxel
        SubScalars->GetScalars(subVoxelPts,subVoxelScalars);

        // loop over 8 points of voxel to check if cell straddles value
        for ( above=below=0, vertNum=0; vertNum < 8; vertNum++ )
          {
          if ( subVoxelScalars.GetScalar(vertNum) >= this->Value )
            above = 1;
          else if ( subVoxelScalars.GetScalar(vertNum) < this->Value )
            below = 1;
          }

        if ( (above && below) && !(this->Count++ % this->Increment) )
          { //generate center point
          SubNormals->GetNormals(subVoxelPts,subVoxelNormals);
          for (n[0]=n[1]=n[2]=0.0, vertNum=0; vertNum < 8; vertNum++)
            {
            normal = subVoxelNormals.GetNormal(vertNum);
            n[0] += normal[0];
            n[1] += normal[1];
            n[2] += normal[2];
            }
          vtkMath::Normalize(n);

          id = NewPts->InsertNextPoint(p);
          NewVerts->InsertCellPoint(id);
          NewNormals->InsertNormal(id,n);

          if ( !(NewPts->GetNumberOfPoints() % POINTS_PER_POLY_VERTEX) )
            {
            vtkDebugMacro(<<"point# "<<NewPts->GetNumberOfPoints());
            }
          }
        }
      }
    }
}

void vtkDividingCubes::PrintSelf(ostream& os, vtkIndent indent)
{
  vtkStructuredPointsToPolyDataFilter::PrintSelf(os,indent);

  os << indent << "Value: " << this->Value << "\n";
  os << indent << "Distance: " << this->Distance << "\n";
  os << indent << "Increment: " << this->Increment << "\n";
}


