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

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

  Copyright (c) 1993-2002 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 "vtkVolumeRayCastIsosurfaceFunction.h"

#include "vtkCamera.h"
#include "vtkColorTransferFunction.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
#include "vtkPiecewiseFunction.h"
#include "vtkRenderWindow.h"
#include "vtkVolume.h"
#include "vtkVolumeProperty.h"
#include "vtkVolumeRayCastMapper.h"

#include <math.h>

vtkCxxRevisionMacro(vtkVolumeRayCastIsosurfaceFunction, "1.25");
vtkStandardNewMacro(vtkVolumeRayCastIsosurfaceFunction);

/*    Is x between y and z?                                     */
#define VTK_In_Range(x,y,z)      ((x) >= (y) && (x) <= (z))
#define VTK_Sign(x)              (((x) < 0.0)?(-1):(1))

#ifndef TRUE
#define TRUE        1
#define FALSE       0
#endif

typedef struct
{
  int             num_intersections;
  float           local_position[3][3];
  float           local_distance[3];
} LineIntersectInfo;

/************************************************************************/
/*      This routine computes the intersection(s) of a vector and an    */
/* isosurface within the trilinear interpolation function. The starting */
/* position of the vector is given in variable "start" and the direction*/
/* of the vector is given in the variable "vec". The scalar values at   */
/* the vertices of the [0.0 <-> 1.0] cube are supplied within variables */
/* "A"-"H" (See macro Trilin()).                                        */
/*                                                                      */
/*      Scalar Field:                                                   */
/*                                                                      */
/*                      Trilin( x, y, z, A, B, C, D, E, F, G, H )       */
/*                                                                      */
/*      Parametric Line Equation:                                       */
/*                                                                      */
/*                      x = x0 + at                                     */
/*                      y = y0 + bt                                     */
/*                      z = z0 + ct                                     */
/*                                                                      */
/*      Isosurface Threshold Value:                                     */
/*                                                                      */
/*                      iso                                             */
/*                                                                      */
/*      Intermediate Calculations:                                      */
/*                                                                      */
/*                      P =  A - B - C + D                              */
/*                      Q =  A - C - E + G                              */
/*                      R =  A - B - E + F                              */
/*                      S = -A + B + C - D + E - F - G + H              */
/*                      T = a * b * c * S                               */
/*                                                                      */
/*      Trilinear Interpolation With Parametric Substitutions:          */
/*                                                                      */
/*                      c0*t^3 + c1*t^2 + c2*t + c3 = 0                 */
/*                                                                      */
/*      Where:                                                          */
/*                                                                      */
/*      c0 = a*b*c*S                                                    */
/*                                                                      */
/*      c1 = a*b*P + b*c*Q + a*c*R + (x0*b*c + a*(y0*c + z0*b))*S       */
/*                                                                      */
/*      c2 = (x0*b + y0*a)*P + (y0*c + z0*b)*Q + (x0*c + z0*a)*R +      */
/*           (a*y0*z0 + x0*(y0*c + z0*b))*S +                           */
/*           (B - A)*a + (C - A)*b + (E - A)*c                          */
/*                                                                      */
/*      c3 = (1.0-x0-y0-z0)*A + B*x0 + C*y0 + E*z0 +                    */
/*            x0*y0*P + y0*z0*Q + x0*z0*R + x0*y0*z0*S - iso            */
/*                                                                      */
/************************************************************************/

void trilin_line_intersection( float start[3], float vec[3], 
                               double A, double B, double C, double D, 
                               double E, double F, double G, double H, 
                               double iso, LineIntersectInfo *solution )
{
  double        c0, c1, c2, c3; /* Coefficients Of Cubic Equation */
  double        r1, r2, r3;     /* Roots Of Equation */
  double        temp;           /* Swap Variable */
  int           num_roots;      /* Number Of Unique Roots To Equation */
  int           root;           /* Loops Through Roots */
  int           pos_dist_num;   /* Number Of Positive Distance Roots */
  
  double        x0, y0, z0;
  double        a, b, c;
  double        P, Q, R, S, T;
  double        x, y, z;
  double        dist = 0; 
  //  This are used for alternative approach that is commented now  
  //  double ab, bc, ac;
  //  double x0y0, y0z0, x0z0;
  //  double z0S;
  
  x0 = start[0];
  y0 = start[1];
  z0 = start[2];

  a  = vec[0];
  b  = vec[1];
  c  = vec[2];

  /* Precision problem - this quantizes the ray direction */
  /* which keeps c0 from becoming too small */
  a = (float)((int)(a * 100000.0))/100000.0;
  b = (float)((int)(b * 100000.0))/100000.0;
  c = (float)((int)(c * 100000.0))/100000.0;
  
  P =  A - B - C + D;
  Q =  A - C - E + G;
  R =  A - B - E + F;
  S = -A + B + C - D + E - F - G + H;
  T =  a * b * c * S;
  
  /* Initialize the Number Of Intersections To Zero */
  solution->num_intersections = 0;
  
  /* 41 mults & 30 adds */
  c0 = T;
  
  c1 = (a*b*P + b*c*Q + a*c*R + (x0*b*c + a*(y0*c + z0*b))*S);
  
  c2 = ( (x0*b + y0*a)*P + (y0*c + z0*b)*Q + (x0*c + z0*a)*R +
         (a*y0*z0 + x0*(y0*c + z0*b))*S + 
         (B - A)*a + (C - A)*b + (E - A)*c
         );
  
  c3 = ( (1.0-x0-y0-z0)*A + B*x0 + C*y0 + E*z0 + 
         x0*y0*P + y0*z0*Q + x0*z0*R + x0*y0*z0*S - iso
         );
  
  /* 36 mults & 28 adds */
  /***
    ab   =  a * b;
    bc   =  b * c;
    ac   =  a * c;
    
    x0y0 = x0 * y0;
    y0z0 = y0 * z0;
    x0z0 = x0 * z0;
    
    z0S  = z0 * S;
    
    c0 = T;
    
    c1 = (ab*P + bc*Q + ac*R + (x0*bc + y0*ac)*S + z0S*ab);
    
    c2 = ( (x0*b + y0*a)*P + (y0*c + z0*b)*Q + (x0*c + z0*a)*R +
    (a*y0z0 + x0y0*c + x0z0*b)*S + 
    (B - A)*a + (C - A)*b + (E - A)*c
    );
    
    c3 = ( (1.0-x0-y0-z0)*A + B*x0 + C*y0 + E*z0 + 
    x0y0*P + y0z0*Q + x0z0*R + x0y0*z0S - iso
    );
    
    ****/
  if ( (c0 >= 0.0 && c1 >= 0.0 && c2 >= 0.0 && c3 >= 0.0) 
       || (c0 <= 0.0 && c1 <= 0.0 && c2 <= 0.0 && c3 <= 0.0))
    {
    return;
    }
  
  vtkMath::SolveCubic( c0, c1, c2, c3, &r1, &r2, &r3, &num_roots );
  
  /* Remove Negative Solutions And Store In Distance Array */
  pos_dist_num = 0;
  for( root=0; root < num_roots; root++ )
    {
      switch( root )
        {
        case 0:
          dist = r1;
          break;
        case 1:
          dist = r2;
          break;
        case 2:
          dist = r3;
        }
      
      if( dist >= 0.0 )
        {
          solution->local_distance[pos_dist_num] = dist;
          pos_dist_num += 1;
        }
    }
  
  solution->num_intersections = pos_dist_num;
  
  /* Sort The Solutions Based On Distance */
  if( pos_dist_num == 2 )
    {
      if( solution->local_distance[0] > solution->local_distance[1] )
        {
          temp = solution->local_distance[0];
          solution->local_distance[0] = solution->local_distance[1];
          solution->local_distance[1] = temp;
        }
    }
  else if( pos_dist_num == 3 )
    {
      if( solution->local_distance[0] > solution->local_distance[1] )
        {
          temp = solution->local_distance[0];
          solution->local_distance[0] = solution->local_distance[1];
          solution->local_distance[1] = temp;
        }
      if( solution->local_distance[1] > solution->local_distance[2] )
        {
          temp = solution->local_distance[1];
          solution->local_distance[1] = solution->local_distance[2];
          solution->local_distance[2] = temp;
        }
      if( solution->local_distance[0] > solution->local_distance[1] )
        {
          temp = solution->local_distance[0];
          solution->local_distance[0] = solution->local_distance[1];
          solution->local_distance[1] = temp;
        }
    }
  
  for( root=0; root < solution->num_intersections; root++ )
    {
      /**********************************************/
      /* Determine The (x,y,z) Position Of Solution */
      /**********************************************/
      x = x0 + a * solution->local_distance[root];
      y = y0 + b * solution->local_distance[root];
      z = z0 + c * solution->local_distance[root];
      
      solution->local_position[root][0] = x;
      solution->local_position[root][1] = y;
      solution->local_position[root][2] = z;
    }
}

// This is the templated function that actually casts a ray and computes
// the pixel_value for isosurface-ray intersection.  It is valid for
// unsigned char, unsigned short, short, int and float data.
template <class T>
void vtkCastRay_NN ( vtkVolumeRayCastIsosurfaceFunction *cast_function, 
                     T *data_ptr, vtkVolumeRayCastDynamicInfo *dynamicInfo,
                     vtkVolumeRayCastStaticInfo *staticInfo )
{

  unsigned short  *encoded_normals;
  int       xinc, yinc, zinc;
  int       voxel_x, voxel_y, voxel_z;
  int       end_voxel_x, end_voxel_y, end_voxel_z;
  int       x_voxels, y_voxels, z_voxels;
  int       found_intersection;
  int       tstep_x, tstep_y, tstep_z;
  int       offset;
  int       steps_this_ray = 0;
  T         A;
  T         *dptr;
  float     ray_position_x, ray_position_y, ray_position_z;
  float     ray_end[3];
  float     ray_direction_x, ray_direction_y, ray_direction_z;
  float     tmax_x, tmax_y, tmax_z,
            tdelta_x, tdelta_y, tdelta_z;
  float     isovalue;
  float     *red_d_shade, *green_d_shade, *blue_d_shade;
  float     *red_s_shade, *green_s_shade, *blue_s_shade;
  int       num_steps;
  float     *ray_start, *ray_increment;
  float     r, g, b;
  float     volumeRed, volumeGreen, volumeBlue;


  num_steps = dynamicInfo->NumberOfStepsToTake;
  ray_start = dynamicInfo->TransformedStart;
  ray_increment = dynamicInfo->TransformedIncrement;

  dynamicInfo->Color[0] = 0.0;
  dynamicInfo->Color[1] = 0.0;
  dynamicInfo->Color[2] = 0.0;
  dynamicInfo->Color[3] = 0.0;
  dynamicInfo->NumberOfStepsTaken = 0;

  // Move the increments into local variables
  xinc = staticInfo->DataIncrement[0];
  yinc = staticInfo->DataIncrement[1];
  zinc = staticInfo->DataIncrement[2];

  // Initialize the ray position and voxel location
  ray_position_x = ray_start[0];
  ray_position_y = ray_start[1];
  ray_position_z = ray_start[2];

  voxel_x = vtkFloorFuncMacro( ray_position_x );
  voxel_y = vtkFloorFuncMacro( ray_position_y );
  voxel_z = vtkFloorFuncMacro( ray_position_z );
  
  ray_end[0] = ray_start[0] + num_steps*ray_increment[0];
  ray_end[1] = ray_start[1] + num_steps*ray_increment[1];
  ray_end[2] = ray_start[2] + num_steps*ray_increment[2];

  ray_direction_x = ray_increment[0];
  ray_direction_y = ray_increment[1];
  ray_direction_z = ray_increment[2];

  x_voxels = staticInfo->DataSize[0];
  y_voxels = staticInfo->DataSize[1];
  z_voxels = staticInfo->DataSize[2];
      
  if ( voxel_x >= x_voxels - 1 ||
       voxel_y >= y_voxels - 1 ||
       voxel_z >= z_voxels - 1 ||
       voxel_x < 0 || voxel_y < 0 || voxel_z < 0 )
  {
    return;
  }

  // Set the local variable to be isovalue for the surface
  isovalue = cast_function->IsoValue;

  tstep_x = VTK_Sign( ray_direction_x );
  tstep_y = VTK_Sign( ray_direction_y );
  tstep_z = VTK_Sign( ray_direction_z );
  
  end_voxel_x = (int)ray_end[0] + tstep_x;
  end_voxel_y = (int)ray_end[1] + tstep_y;
  end_voxel_z = (int)ray_end[2] + tstep_z;
  
  if (ray_direction_x != 0.0)
    {
      tmax_x = fabs((float)((voxel_x+(tstep_x==1)) - ray_position_x) / 
                    ray_direction_x);
      tdelta_x = fabs(1.0 / ray_direction_x);
    }
  else
    {
      tmax_x = VTK_LARGE_FLOAT;
      tdelta_x = VTK_LARGE_FLOAT;
    }
  
  if (ray_direction_y != 0.0)
    {
      tmax_y = fabs((float)((voxel_y+(tstep_y==1)) - ray_position_y) / 
                    ray_direction_y);
      tdelta_y = fabs(1.0 / ray_direction_y);
    }
  else
    {
      tmax_y = VTK_LARGE_FLOAT;
      tdelta_y = VTK_LARGE_FLOAT;
    }
  
  if (ray_direction_z != 0.0)
    {
      tmax_z = fabs((float)((voxel_z+(tstep_z==1)) - ray_position_z) / 
                    ray_direction_z);
      tdelta_z = fabs(1.0 / ray_direction_z);
    }
  else
    {
      tmax_z = VTK_LARGE_FLOAT;
      tdelta_z = VTK_LARGE_FLOAT;
    }
  
  dptr = data_ptr + 
    voxel_x * xinc + 
    voxel_y * yinc + 
    voxel_z * zinc;
  
  A = *(dptr);
  
  found_intersection = FALSE;
  
  while ( found_intersection == FALSE )
    {
      // We've taken another step
      steps_this_ray++;

      if ( A >= isovalue )
        {
          found_intersection = TRUE;
          
          volumeRed   = staticInfo->Color[0];
          volumeGreen = staticInfo->Color[1];
          volumeBlue  = staticInfo->Color[2];

          if ( staticInfo->Shading )
            {
              // Get diffuse shading table pointers
              red_d_shade = staticInfo->RedDiffuseShadingTable;
              green_d_shade = staticInfo->GreenDiffuseShadingTable;
              blue_d_shade = staticInfo->BlueDiffuseShadingTable;
          
              // Get specular shading table pointers
              red_s_shade = staticInfo->RedSpecularShadingTable;
              green_s_shade = staticInfo->GreenSpecularShadingTable;
              blue_s_shade = staticInfo->BlueSpecularShadingTable;
              
              // Get a pointer to the encoded normals for this volume
              encoded_normals = staticInfo->EncodedNormals;
              

              // Set up the offset into the normal array
              offset = voxel_z * zinc + voxel_y * yinc + voxel_x;
              
              // Set the return pixel value.  This should be corrected later;
              // 
              r = red_d_shade[*(encoded_normals + offset)] 
                * volumeRed + red_s_shade[*(encoded_normals + offset)];
              g = green_d_shade[*(encoded_normals + offset)] 
                * volumeGreen + green_s_shade[*(encoded_normals + offset)];
              b = blue_d_shade[*(encoded_normals + offset)] 
                * volumeBlue + blue_s_shade[*(encoded_normals + offset)];

              dynamicInfo->Color[0] = ( r > 1.0 ) ? 1.0 : r;
              dynamicInfo->Color[1] = ( g > 1.0 ) ? 1.0 : g;
              dynamicInfo->Color[2] = ( b > 1.0 ) ? 1.0 : b;
              dynamicInfo->Color[3] = 1.0;
            }
          else 
            {
              // No shading
              dynamicInfo->Color[0] = volumeRed;
              dynamicInfo->Color[1] = volumeGreen;
              dynamicInfo->Color[2] = volumeBlue;
              dynamicInfo->Color[3] = 1.0;
            }
        }
      
      if ( found_intersection == FALSE )
        {       
          if (tmax_x < tmax_y)
            {
              if (tmax_x < tmax_z)
                {
                  voxel_x += tstep_x;
                  
                  if (voxel_x < 0 || voxel_x >= x_voxels-1 
                      || voxel_x == end_voxel_x )
                    {
                      found_intersection = TRUE;
                    }
                  else
                    {
                      tmax_x += tdelta_x;
                      dptr += tstep_x * xinc;
                      A = *dptr;
                    }
                }
              else
                {
                  voxel_z += tstep_z;
                  
                  if (voxel_z < 0 ||  voxel_z >= z_voxels-1 
                      || voxel_z == end_voxel_z )
                    {
                      found_intersection = TRUE;
                    }
                  else
                    {
                      tmax_z += tdelta_z;
                      dptr += tstep_z * zinc;
                      A = *dptr;
                    }
                }
            }
          else
            {
              if (tmax_y < tmax_z)
                {
                  voxel_y += tstep_y;
                  
                  if (voxel_y < 0 ||  voxel_y >= y_voxels-1 
                      || voxel_y == end_voxel_y )
                    {
                      found_intersection = TRUE;
                    }
                  else
                    {
                      tmax_y += tdelta_y;
                      dptr += tstep_y * yinc;
                      A = *dptr;
                    }
                }
              else
                {
                  voxel_z += tstep_z;
                  
                  if (voxel_z < 0 || voxel_z >= z_voxels-1 
                      || voxel_z == end_voxel_z )
                    {
                      found_intersection = TRUE;
                    }
                  else
                    {
                      tmax_z += tdelta_z;
                      dptr += tstep_z * zinc;
                      A = *dptr;
                    }
                }
            }    
        }
    }

  dynamicInfo->NumberOfStepsTaken = steps_this_ray;

}
// This is the templated function that actually casts a ray and computes
// the pixel_value for isosurface-ray intersection.  It is valid for
// unsigned char, unsigned short, short, int and float data.
template <class T>
void vtkCastRay_Trilin ( vtkVolumeRayCastIsosurfaceFunction *cast_function, 
                         T *data_ptr, vtkVolumeRayCastDynamicInfo *dynamicInfo,
                         vtkVolumeRayCastStaticInfo *staticInfo )
{
  LineIntersectInfo  line_info;
  unsigned short  *encoded_normals, *nptr;
  int       loop;
  int       xinc, yinc, zinc;
  int       voxel_x, voxel_y, voxel_z;
  int       end_voxel_x, end_voxel_y, end_voxel_z;
  int       x_voxels, y_voxels, z_voxels;
  int       Binc, Cinc, Dinc, Einc, Finc, Ginc, Hinc;
  int       found_intersection;
  int       tstep_x, tstep_y, tstep_z;
  int       offset;
  int       steps_this_ray = 0;
  T         A, B, C, D, E, F, G, H;
  T         *dptr;
  float     ray_position_x, ray_position_y, ray_position_z;
  float     ray_end[3];
  float     ray_direction_x, ray_direction_y, ray_direction_z;
  float     tmax_x, tmax_y, tmax_z,
            tdelta_x, tdelta_y, tdelta_z;
  float     isovalue;
  float     trilin_origin[3];
  float     point_x = 0, point_y = 0, point_z = 0;
  float     *red_d_shade, *green_d_shade, *blue_d_shade;
  float     *red_s_shade, *green_s_shade, *blue_s_shade;
  float     x, y, z, t1, t2, t3;
  float     tA, tB, tC, tD, tE, tF, tG, tH;
  float     red_shaded_value, green_shaded_value, blue_shaded_value;
  int       num_steps;
  float     *ray_start, *ray_increment;
  float     volumeRed, volumeGreen, volumeBlue;

  num_steps = dynamicInfo->NumberOfStepsToTake;
  ray_start = dynamicInfo->TransformedStart;
  ray_increment = dynamicInfo->TransformedIncrement;

  dynamicInfo->Color[0] = 0.0;
  dynamicInfo->Color[1] = 0.0;
  dynamicInfo->Color[2] = 0.0;
  dynamicInfo->Color[3] = 0.0;
  dynamicInfo->NumberOfStepsTaken = 0;

  // Move the increments into local variables
  xinc = staticInfo->DataIncrement[0];
  yinc = staticInfo->DataIncrement[1];
  zinc = staticInfo->DataIncrement[2];

  // Initialize the ray position and voxel location
  ray_position_x = ray_start[0];
  ray_position_y = ray_start[1];
  ray_position_z = ray_start[2];

  voxel_x = vtkFloorFuncMacro( ray_position_x );
  voxel_y = vtkFloorFuncMacro( ray_position_y );
  voxel_z = vtkFloorFuncMacro( ray_position_z );

  ray_end[0] = ray_start[0] + num_steps*ray_increment[0];
  ray_end[1] = ray_start[1] + num_steps*ray_increment[1];
  ray_end[2] = ray_start[2] + num_steps*ray_increment[2];

  ray_direction_x = ray_increment[0];
  ray_direction_y = ray_increment[1];
  ray_direction_z = ray_increment[2];

  x_voxels = staticInfo->DataSize[0];
  y_voxels = staticInfo->DataSize[1];
  z_voxels = staticInfo->DataSize[2];
      
  if ( voxel_x >= x_voxels - 1 ||
       voxel_y >= y_voxels - 1 ||
       voxel_z >= z_voxels - 1 ||
       voxel_x < 0 || voxel_y < 0 || voxel_z < 0 )
    {
    return;
    }

  // Set the local variable to be isovalue for the surface
  isovalue = cast_function->IsoValue;

  tstep_x = VTK_Sign( ray_direction_x );
  tstep_y = VTK_Sign( ray_direction_y );
  tstep_z = VTK_Sign( ray_direction_z );
  
  end_voxel_x = (int)ray_end[0] + tstep_x;
  end_voxel_y = (int)ray_end[1] + tstep_y;
  end_voxel_z = (int)ray_end[2] + tstep_z;
  
  if (ray_direction_x != 0.0)
    {
    tmax_x = fabs((float)((voxel_x+(tstep_x==1)) - ray_position_x) / 
                  ray_direction_x);
    tdelta_x = fabs(1.0 / ray_direction_x);
    }
  else
    {
    tmax_x = VTK_LARGE_FLOAT;
    tdelta_x = VTK_LARGE_FLOAT;
    }
  
  if (ray_direction_y != 0.0)
    {
    tmax_y = fabs((float)((voxel_y+(tstep_y==1)) - ray_position_y) / 
                  ray_direction_y);
    tdelta_y = fabs(1.0 / ray_direction_y);
    }
  else
    {
    tmax_y = VTK_LARGE_FLOAT;
    tdelta_y = VTK_LARGE_FLOAT;
    }
  
  if (ray_direction_z != 0.0)
    {
    tmax_z = fabs((float)((voxel_z+(tstep_z==1)) - ray_position_z) / 
                  ray_direction_z);
    tdelta_z = fabs(1.0 / ray_direction_z);
    }
  else
    {
    tmax_z = VTK_LARGE_FLOAT;
    tdelta_z = VTK_LARGE_FLOAT;
    }
  
  dptr = data_ptr + 
    voxel_x * xinc + 
    voxel_y * yinc + 
    voxel_z * zinc;
  
  // Compute the increments to get to the other 7 voxel vertices from A
  Binc = xinc;
  Cinc = yinc;
  Dinc = xinc + yinc;
  Einc = zinc;
  Finc = zinc + xinc;
  Ginc = zinc + yinc;
  Hinc = zinc + xinc + yinc;

  A = *(dptr);
  B = *(dptr + Binc);
  C = *(dptr + Cinc);
  D = *(dptr + Dinc);
  E = *(dptr + Einc);
  F = *(dptr + Finc);
  G = *(dptr + Ginc);
  H = *(dptr + Hinc); 
      
  found_intersection = FALSE;
  
  while ( found_intersection == FALSE )
    {

    // We've taken another step
    steps_this_ray++;
          
    if ( ( A >= isovalue || B >= isovalue || C >= isovalue ||
           D >= isovalue || E >= isovalue || F >= isovalue ||
           G >= isovalue || H >= isovalue) 
         && ( A <= isovalue || B <= isovalue || C <= isovalue ||
              D <= isovalue || E <= isovalue || F <= isovalue ||
              G <= isovalue || H <= isovalue ) )
      {
      trilin_origin[0] = ray_start[0] - voxel_x;
      trilin_origin[1] = ray_start[1] - voxel_y;
      trilin_origin[2] = ray_start[2] - voxel_z;
          
      trilin_line_intersection
        ( trilin_origin, ray_increment,
          (double) A, (double) B, (double) C, (double) D,
          (double) E, (double) F, (double) G, (double) H,
          (double) isovalue, &line_info );
      
      if ( line_info.num_intersections > 0 )
        {
              
        for (loop=0;  loop<line_info.num_intersections;
             loop++)
          {
          point_x = line_info.local_position[loop][0] + voxel_x; 
          point_y = line_info.local_position[loop][1] + voxel_y;
          point_z = line_info.local_position[loop][2] + voxel_z;
          
          if ((VTK_In_Range(point_x, ((float)(voxel_x) - 0.001 ), ((float)(voxel_x) + 1.001))) &&
              (VTK_In_Range(point_y, ((float)(voxel_y) - 0.001 ), ((float)(voxel_y) + 1.001))) &&
              (VTK_In_Range(point_z, ((float)(voxel_z) - 0.001 ), ((float)(voxel_z) + 1.001))))
            {
            break;
            }
          } 
              
        if ( loop < line_info.num_intersections )
          {
          found_intersection = TRUE;
          
          volumeRed   = staticInfo->Color[0];
          volumeGreen = staticInfo->Color[1];
          volumeBlue  = staticInfo->Color[2];

          if ( staticInfo->Shading )
            {
            // Get diffuse shading table pointers
            red_d_shade = staticInfo->RedDiffuseShadingTable;
            green_d_shade = staticInfo->GreenDiffuseShadingTable;
            blue_d_shade = staticInfo->BlueDiffuseShadingTable;
            
            
            // Get diffuse shading table pointers
            red_s_shade = staticInfo->RedSpecularShadingTable;
            green_s_shade = staticInfo->GreenSpecularShadingTable;
            blue_s_shade = staticInfo->BlueSpecularShadingTable;
            
            // Get a pointer to the encoded normals for this volume
            encoded_normals = staticInfo->EncodedNormals;
            
            // Get the opacity transfer function which maps scalar input values
            
            // Compute the values for the first pass through the loop
            offset = voxel_z * zinc + voxel_y * yinc + voxel_x;
            dptr = data_ptr + offset;
            nptr = encoded_normals + offset;
            
            // Compute our offset in the voxel, and use that to trilinearly
            // interpolate a value
            x = point_x - voxel_x;
            y = point_y - voxel_y;
            z = point_z - voxel_z;
            
            t1 = 1.0 - x;
            t2 = 1.0 - y;
            t3 = 1.0 - z;
            
            tA = t1*t2*t3;
            tB = x*t2*t3;
            tC = t1*y*t3;
            tD = x*y*t3;
            tE = t1*t2*z;
            tF = x*z*t2;
            tG = t1*y*z;
            tH = x*z*y;
            
            // Compute pixel_value;
            // Do trilinear interpolation of shadings of pixel corners
            // Do it for red, green, and blue components
            red_shaded_value =
              tA * ( red_d_shade[ *(nptr) ] * volumeRed
                     + red_s_shade[ *(nptr) ] );
            red_shaded_value +=
              tB * ( red_d_shade[ *(nptr + Binc) ] * volumeRed 
                     + red_s_shade[ *(nptr + Binc) ] );
            red_shaded_value +=
              tC * ( red_d_shade[ *(nptr + Cinc) ] * volumeRed 
                     + red_s_shade[ *(nptr + Cinc) ] );
            red_shaded_value +=
              tD * ( red_d_shade[ *(nptr + Dinc) ] * volumeRed 
                     + red_s_shade[ *(nptr + Dinc) ] );
            red_shaded_value +=
              tE * ( red_d_shade[ *(nptr + Einc) ] * volumeRed 
                     + red_s_shade[ *(nptr + Einc) ] );
            red_shaded_value +=
              tF * ( red_d_shade[ *(nptr + Finc) ] * volumeRed 
                     + red_s_shade[ *(nptr + Finc) ] );
            red_shaded_value +=
              tG * ( red_d_shade[ *(nptr + Ginc) ] * volumeRed 
                     + red_s_shade[ *(nptr + Ginc) ] );
            red_shaded_value +=
              tH * ( red_d_shade[ *(nptr + Hinc) ] * volumeRed 
                     + red_s_shade[ *(nptr + Hinc) ] );
            
            green_shaded_value =  
              tA * ( green_d_shade[ *(nptr) ] * volumeGreen 
                     + green_s_shade[ *(nptr) ] );
            green_shaded_value +=  
              tB * ( green_d_shade[ *(nptr + Binc) ] * volumeGreen 
                     + green_s_shade[ *(nptr + Binc) ] );
            green_shaded_value +=  
              tC * ( green_d_shade[ *(nptr + Cinc) ] * volumeGreen 
                     + green_s_shade[ *(nptr + Cinc) ] );
            green_shaded_value +=  
              tD * ( green_d_shade[ *(nptr + Dinc) ] * volumeGreen 
                     + green_s_shade[ *(nptr + Dinc) ] );
            green_shaded_value +=  
              tE * ( green_d_shade[ *(nptr + Einc) ] * volumeGreen 
                     + green_s_shade[ *(nptr + Einc) ] );
            green_shaded_value +=  
              tF * ( green_d_shade[ *(nptr + Finc) ] * volumeGreen 
                     + green_s_shade[ *(nptr + Finc) ] );
            green_shaded_value +=  
              tG * ( green_d_shade[ *(nptr + Ginc) ] * volumeGreen 
                     + green_s_shade[ *(nptr + Ginc) ] );
            green_shaded_value +=  
              tH * ( green_d_shade[ *(nptr + Hinc) ] * volumeGreen 
                     + green_s_shade[ *(nptr + Hinc) ] );
            
            blue_shaded_value =  
              tA * ( blue_d_shade[ *(nptr) ] * volumeBlue 
                     + blue_s_shade[ *(nptr) ] );
            blue_shaded_value +=  
              tB * ( blue_d_shade[ *(nptr + Binc) ] * volumeBlue 
                     + blue_s_shade[ *(nptr + Binc) ] );
            blue_shaded_value +=  
              tC * ( blue_d_shade[ *(nptr + Cinc) ] * volumeBlue 
                     + blue_s_shade[ *(nptr + Cinc) ] );
            blue_shaded_value +=  
              tD * ( blue_d_shade[ *(nptr + Dinc) ] * volumeBlue 
                     + blue_s_shade[ *(nptr + Dinc) ] );
            blue_shaded_value +=  
              tE * ( blue_d_shade[ *(nptr + Einc) ] * volumeBlue 
                     + blue_s_shade[ *(nptr + Einc) ] );
            blue_shaded_value +=  
              tF * ( blue_d_shade[ *(nptr + Finc) ] * volumeBlue 
                     + blue_s_shade[ *(nptr + Finc) ] );
            blue_shaded_value +=  
              tG * ( blue_d_shade[ *(nptr + Ginc) ] * volumeBlue 
                     + blue_s_shade[ *(nptr + Ginc) ] );
            blue_shaded_value +=  
              tH * ( blue_d_shade[ *(nptr + Hinc) ] * volumeBlue 
                     + blue_s_shade[ *(nptr + Hinc) ] );
            
            dynamicInfo->Color[0] = 
              ( red_shaded_value > 1.0 ) ? 1.0 : red_shaded_value;
            dynamicInfo->Color[1] = 
              ( green_shaded_value > 1.0 ) ? 1.0 : green_shaded_value;
            dynamicInfo->Color[2] = 
              ( blue_shaded_value > 1.0 ) ? 1.0 : blue_shaded_value;
            dynamicInfo->Color[3] = 1.0;
            }
          else
            {
              // No shading
              dynamicInfo->Color[0] = volumeRed;
              dynamicInfo->Color[1] = volumeGreen;
              dynamicInfo->Color[2] = volumeBlue;
              dynamicInfo->Color[3] = 1.0;
            }
          }
        }
      }
    if ( found_intersection == FALSE )
      { 
      if (tmax_x < tmax_y)
        {
        if (tmax_x < tmax_z)
          {
          voxel_x += tstep_x;
                  
          if (voxel_x < 0 || voxel_x >= x_voxels-1 
              || voxel_x == end_voxel_x )
            {
            found_intersection = TRUE;
            }
          else
            {
            tmax_x += tdelta_x;
            dptr += tstep_x * xinc;
            if (tstep_x > 0)
              {
              A = B;
              C = D;
              E = F;
              G = H;
              B = *(dptr + Binc);
              D = *(dptr + Dinc);
              F = *(dptr + Finc);
              H = *(dptr + Hinc);
              }
            else
              {
              B = A;
              D = C;
              F = E;
              H = G;
              A = *(dptr);
              C = *(dptr + Cinc);
              E = *(dptr + Einc);
              G = *(dptr + Ginc);
              } 
            }
          }
        else
          {
          voxel_z += tstep_z;
          
          if (voxel_z < 0 ||  voxel_z >= z_voxels-1 
              || voxel_z == end_voxel_z )
            {
            found_intersection = TRUE;
            }
          else
            {
            tmax_z += tdelta_z;
            dptr += tstep_z * zinc;
            if (tstep_z > 0)
              {
              A = E;
              B = F;
              C = G;
              D = H;
              E = *(dptr + Einc);
              F = *(dptr + Finc);
              G = *(dptr + Ginc);
              H = *(dptr + Hinc);
              }
            else
              {
              E = A;
              F = B;
              G = C;
              H = D;
              A = *(dptr);
              B = *(dptr + Binc);
              C = *(dptr + Cinc);
              D = *(dptr + Dinc);
              }
            }
          }
        }
      else
        {
        if (tmax_y < tmax_z)
          {
          voxel_y += tstep_y;
          
          if (voxel_y < 0 ||  voxel_y >= y_voxels-1 
              || voxel_y == end_voxel_y )
            {
            found_intersection = TRUE;
            }
          else
            {
            tmax_y += tdelta_y;
            dptr += tstep_y * yinc;
            if (tstep_y > 0)
              {
              A = C;
              B = D;
              E = G;
              F = H;
              C = *(dptr + Cinc);
              D = *(dptr + Dinc);
              G = *(dptr + Ginc);
              H = *(dptr + Hinc);
              }
            else
              {
              C = A;
              D = B;
              G = E;
              H = F;
              A = *(dptr);
              B = *(dptr + Binc);
              E = *(dptr + Einc);
              F = *(dptr + Finc);
              }
            }
          }
        else
          {
            voxel_z += tstep_z;
            
            if (voxel_z < 0 || voxel_z >= z_voxels-1 
                || voxel_z == end_voxel_z )
              {
              found_intersection = TRUE;
              }
            else
              {
                tmax_z += tdelta_z;
                dptr += tstep_z * zinc;
                if (tstep_z > 0)
                  {
                  A = E;
                  B = F;
                  C = G;
                  D = H;
                  E = *(dptr + Einc);
                  F = *(dptr + Finc);
                  G = *(dptr + Ginc);
                  H = *(dptr + Hinc);
                  }
                else
                  {
                  E = A;
                  F = B;
                  G = C;
                  H = D;
                  A = *(dptr);
                  B = *(dptr + Binc);
                  C = *(dptr + Cinc);
                  D = *(dptr + Dinc);
                  }
              }
          }
        }    
      }
    }

  dynamicInfo->NumberOfStepsTaken = steps_this_ray;
}

// Construct a new vtkVolumeRayCastIsosurfaceFunction with a default ramp.
// This ramp is best suited for unsigned char data and should
// probably be modified before rendering any other data type.
// The ParcBuildValue is set to LinearRampRange[0] + 1, ensuring
// that the Parc structure will be built during the first render.
vtkVolumeRayCastIsosurfaceFunction::vtkVolumeRayCastIsosurfaceFunction()
{
  this->IsoValue                = 0;
}

// Destruct the vtkVolumeRayCastIsosurfaceFunction
vtkVolumeRayCastIsosurfaceFunction::~vtkVolumeRayCastIsosurfaceFunction()
{
}

// This is called from RenderAnImage (in vtkDepthPARCMapper.cxx)
// It uses the integer data type flag that is passed in to
// determine what type of ray needs to be cast (which is handled
// by a templated function. 
void vtkVolumeRayCastIsosurfaceFunction::CastRay( 
                                   vtkVolumeRayCastDynamicInfo *dynamicInfo,
                                   vtkVolumeRayCastStaticInfo *staticInfo )
{
  void *data_ptr;

  data_ptr = staticInfo->ScalarDataPointer;
  
  // Cast the ray for the data type and shading/interpolation type
  if ( staticInfo->InterpolationType == VTK_NEAREST_INTERPOLATION )
    {
      // Nearest neighbor
      switch ( staticInfo->ScalarDataType )
        {
        case VTK_UNSIGNED_CHAR:
          vtkCastRay_NN 
            ( this, (unsigned char *)data_ptr, dynamicInfo, staticInfo ); 
          break;
        case VTK_UNSIGNED_SHORT:
          vtkCastRay_NN
            ( this, (unsigned short *)data_ptr, dynamicInfo, staticInfo );
          break;
        default:
          vtkWarningMacro ( << "Unsigned char and unsigned short are the only supported datatypes for rendering" );
          break;
        }
    }
  else if ( staticInfo->InterpolationType == VTK_LINEAR_INTERPOLATION )
    {
      // Trilinear interpolation
      switch ( staticInfo->ScalarDataType )
        {
        case VTK_UNSIGNED_CHAR:
          vtkCastRay_Trilin
            ( this, (unsigned char *)data_ptr, dynamicInfo, staticInfo );
          break;
        case VTK_UNSIGNED_SHORT:
          vtkCastRay_Trilin
            ( this, (unsigned short *)data_ptr, dynamicInfo, staticInfo );
          break;
        default:
          vtkWarningMacro ( << "Unsigned char and unsigned short are the only supported datatypes for rendering" );
          break;
        }
    }
}

float vtkVolumeRayCastIsosurfaceFunction::GetZeroOpacityThreshold(vtkVolume *)
{
  return( this->IsoValue );
}

void vtkVolumeRayCastIsosurfaceFunction::SpecificFunctionInitialize( 
                                  vtkRenderer *vtkNotUsed(ren), 
                                  vtkVolume *vol,
                                  vtkVolumeRayCastStaticInfo *staticInfo,
                                  vtkVolumeRayCastMapper *vtkNotUsed(mapper) )
{
  vtkVolumeProperty  *volume_property;

  volume_property = vol->GetProperty();

  if ( volume_property->GetColorChannels() == 1 )
    {
    staticInfo->Color[0] = 
      volume_property->GetGrayTransferFunction()->GetValue( this->IsoValue );
    staticInfo->Color[1] = staticInfo->Color[0];
    staticInfo->Color[2] = staticInfo->Color[0];
    }
  else if ( volume_property->GetColorChannels() == 3 )
    {
    staticInfo->Color[0] = 
      volume_property->GetRGBTransferFunction()->GetRedValue( this->IsoValue );
    staticInfo->Color[1] = 
      volume_property->GetRGBTransferFunction()->GetGreenValue( this->IsoValue );
    staticInfo->Color[2] = 
      volume_property->GetRGBTransferFunction()->GetBlueValue( this->IsoValue );
    }
}

// Print method for vtkVolumeRayCastIsosurfaceFunction
void vtkVolumeRayCastIsosurfaceFunction::PrintSelf(ostream& os, vtkIndent indent)
{
  this->Superclass::PrintSelf(os,indent);

  os << indent << "Isosurface Value: " << this->IsoValue << "\n";
}


