LASzip-3.4.3/src/lasquadtree.cpp

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

  FILE:  lasquadtree.cpp

  CONTENTS:

    see corresponding header file

  PROGRAMMERS:

    martin.isenburg@rapidlasso.com  -  http://rapidlasso.com

  COPYRIGHT:

    (c) 2007-2015, martin isenburg, rapidlasso - fast tools to catch reality

    This is free software; you can redistribute and/or modify it under the
    terms of the GNU Lesser General Licence as published by the Free Software
    Foundation. See the LICENSE.txt file for more information.

    This software is distributed WITHOUT ANY WARRANTY and without even the
    implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

  CHANGE HISTORY:

    see corresponding header file

===============================================================================
*/
#include "lasquadtree.hpp"

#include "bytestreamin.hpp"
#include "bytestreamout.hpp"

#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#include <vector>
using namespace std;

typedef vector<I32> my_cell_vector;

/*

class LAScell
{
public:
  LAScell* parent;
  LAScell* child[4];
  U32 num_children :  3;
  U32 level        :  5;
  U32 idx          : 24;
  F32 mid_x;
  F32 mid_y;
  F32 half_size;
  F32 get_min_x() const { return mid_x - half_size; };
  F32 get_min_y() const { return mid_y - half_size; };
  F32 get_max_x() const { return mid_x + half_size; };
  F32 get_max_y() const { return mid_y + half_size; };
  LAScell();
};

LAScell::LAScell()
{
  memset(this, 0, sizeof(LAScell));
}

  LAScell* get_cell(const F64 x, const F64 y);
LAScell* LASquadtree::get_cell(const F64 x, const F64 y)
{
  LAScell* cell = &root;
  while (cell && cell->num_children)
  {
    int child = 0;
    if (x < cell->mid_x) // only if strictly less
    {
      child |= 1;
    }
    if (!(y < cell->mid_y)) // only if not strictly less
    {
      child |= 2;
    }
    cell = cell->child[child];
  }
  return cell;
}

static bool intersect_point(LAScell* cell, const float* p_pos)
{
  if (cell->num_children) // check if cell has children
  {
    int idx = 0;
    if (p_pos[0] < cell->r_mid[0]) idx |= 1;
    if (!(p_pos[1] < cell->r_mid[1])) idx |= 2;
    if (cell->child[idx] && intersect_point(cell->child[idx], p_pos)) return true;
    return false;
  }
  return true;
}
*/

// returns the bounding box of the cell that x & y fall into at the specified level
void LASquadtree::get_cell_bounding_box(const F64 x, const F64 y, U32 level, F32* min, F32* max) const
{
  volatile float cell_mid_x;
  volatile float cell_mid_y;
  float cell_min_x, cell_max_x;
  float cell_min_y, cell_max_y;

  cell_min_x = min_x;
  cell_max_x = max_x;
  cell_min_y = min_y;
  cell_max_y = max_y;

  while (level)
  {
    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;
    if (x < cell_mid_x)
    {
      cell_max_x = cell_mid_x;
    }
    else
    {
      cell_min_x = cell_mid_x;
    }
    if (y < cell_mid_y)
    {
      cell_max_y = cell_mid_y;
    }
    else
    {
      cell_min_y = cell_mid_y;
    }
    level--;
  }
  if (min)
  {
    min[0] = cell_min_x;
    min[1] = cell_min_y;
  }
  if (max)
  {
    max[0] = cell_max_x;
    max[1] = cell_max_y;
  }
}

// returns the bounding box of the cell that x & y fall into
void LASquadtree::get_cell_bounding_box(const F64 x, const F64 y, F32* min, F32* max) const
{
  get_cell_bounding_box(x, y, levels, min, max);
}

// returns the bounding box of the cell with the specified level_index at the specified level
void LASquadtree::get_cell_bounding_box(U32 level_index, U32 level, F32* min, F32* max) const
{
  volatile F32 cell_mid_x;
  volatile F32 cell_mid_y;
  F32 cell_min_x, cell_max_x;
  F32 cell_min_y, cell_max_y;

  cell_min_x = min_x;
  cell_max_x = max_x;
  cell_min_y = min_y;
  cell_max_y = max_y;

  U32 index;
  while (level)
  {
    index = (level_index >>(2*(level-1)))&3;
    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;
    if (index & 1)
    {
      cell_min_x = cell_mid_x;
    }
    else
    {
      cell_max_x = cell_mid_x;
    }
    if (index & 2)
    {
      cell_min_y = cell_mid_y;
    }
    else
    {
      cell_max_y = cell_mid_y;
    }
    level--;
  }
  if (min)
  {
    min[0] = cell_min_x;
    min[1] = cell_min_y;
  }
  if (max)
  {
    max[0] = cell_max_x;
    max[1] = cell_max_y;
  }
}

// returns the bounding box of the cell with the specified level_index at the specified level
void LASquadtree::get_cell_bounding_box(U32 level_index, U32 level, F64* min, F64* max) const
{
  volatile F64 cell_mid_x;
  volatile F64 cell_mid_y;
  F64 cell_min_x, cell_max_x;
  F64 cell_min_y, cell_max_y;

  cell_min_x = min_x;
  cell_max_x = max_x;
  cell_min_y = min_y;
  cell_max_y = max_y;

  U32 index;
  while (level)
  {
    index = (level_index >>(2*(level-1)))&3;
    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;
    if (index & 1)
    {
      cell_min_x = cell_mid_x;
    }
    else
    {
      cell_max_x = cell_mid_x;
    }
    if (index & 2)
    {
      cell_min_y = cell_mid_y;
    }
    else
    {
      cell_max_y = cell_mid_y;
    }
    level--;
  }
  if (min)
  {
    min[0] = cell_min_x;
    min[1] = cell_min_y;
  }
  if (max)
  {
    max[0] = cell_max_x;
    max[1] = cell_max_y;
  }
}

// returns the bounding box of the cell with the specified level_index
void LASquadtree::get_cell_bounding_box(U32 level_index, F32* min, F32* max) const
{
  get_cell_bounding_box(level_index, levels, min, max);
}

// returns the bounding box of the cell with the specified level_index
void LASquadtree::get_cell_bounding_box(U32 level_index, F64* min, F64* max) const
{
  get_cell_bounding_box(level_index, levels, min, max);
}

// returns the bounding box of the cell with the specified cell_index
void LASquadtree::get_cell_bounding_box(const I32 cell_index, F32* min, F32* max) const
{
  U32 level = get_level((U32)cell_index);
  U32 level_index = get_level_index((U32)cell_index, level);
  get_cell_bounding_box(level_index, level, min, max);
}

// returns the (sub-)level index of the cell that x & y fall into at the specified level
U32 LASquadtree::get_level_index(const F64 x, const F64 y, U32 level) const
{
  volatile float cell_mid_x;
  volatile float cell_mid_y;
  float cell_min_x, cell_max_x;
  float cell_min_y, cell_max_y;

  cell_min_x = min_x;
  cell_max_x = max_x;
  cell_min_y = min_y;
  cell_max_y = max_y;

  U32 level_index = 0;

  while (level)
  {
    level_index <<= 2;

    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;

    if (x < cell_mid_x)
    {
      cell_max_x = cell_mid_x;
    }
    else
    {
      cell_min_x = cell_mid_x;
      level_index |= 1;
    }
    if (y < cell_mid_y)
    {
      cell_max_y = cell_mid_y;
    }
    else
    {
      cell_min_y = cell_mid_y;
      level_index |= 2;
    }
    level--;
  }

  return level_index;
}

// returns the (sub-)level index of the cell that x & y fall into
U32 LASquadtree::get_level_index(const F64 x, const F64 y) const
{
  return get_level_index(x, y, levels);
}

// returns the (sub-)level index and the bounding box of the cell that x & y fall into at the specified level
U32 LASquadtree::get_level_index(const F64 x, const F64 y, U32 level, F32* min, F32* max) const
{
  volatile float cell_mid_x;
  volatile float cell_mid_y;
  float cell_min_x, cell_max_x;
  float cell_min_y, cell_max_y;

  cell_min_x = min_x;
  cell_max_x = max_x;
  cell_min_y = min_y;
  cell_max_y = max_y;

  U32 level_index = 0;

  while (level)
  {
    level_index <<= 2;

    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;

    if (x < cell_mid_x)
    {
      cell_max_x = cell_mid_x;
    }
    else
    {
      cell_min_x = cell_mid_x;
      level_index |= 1;
    }
    if (y < cell_mid_y)
    {
      cell_max_y = cell_mid_y;
    }
    else
    {
      cell_min_y = cell_mid_y;
      level_index |= 2;
    }
    level--;
  }
  if (min)
  {
    min[0] = cell_min_x;
    min[1] = cell_min_y;
  }
  if (max)
  {
    max[0] = cell_max_x;
    max[1] = cell_max_y;
  }
  return level_index;
}

// returns the (sub-)level index and the bounding box of the cell that x & y fall into
U32 LASquadtree::get_level_index(const F64 x, const F64 y, F32* min, F32* max) const
{
  return get_level_index(x, y, levels, min, max);
}

// returns the index of the cell that x & y fall into at the specified level
U32 LASquadtree::get_cell_index(const F64 x, const F64 y, U32 level) const
{
  if (sub_level)
  {
    return level_offset[sub_level+level] + (sub_level_index << (level*2)) + get_level_index(x, y, level);
  }
  else
  {
    return level_offset[level]+get_level_index(x, y, level);
  }
}

// returns the index of the cell that x & y fall into
U32 LASquadtree::get_cell_index(const F64 x, const F64 y) const
{
  return get_cell_index(x, y, levels);
}

// returns the indices of parent and siblings for the specified cell index
BOOL LASquadtree::coarsen(const I32 cell_index, I32* coarser_cell_index, U32* num_cell_indices, I32** cell_indices)
{
  if (cell_index < 0) return FALSE;
  U32 level = get_level((U32)cell_index);
  if (level == 0) return FALSE;
  U32 level_index = get_level_index((U32)cell_index, level);
  level_index = level_index >> 2;
  if (coarser_cell_index) (*coarser_cell_index) = get_cell_index(level_index, level-1);
  if (num_cell_indices && cell_indices)
  {
    (*num_cell_indices) = 4;
    (*cell_indices) = (I32*)coarser_indices;
    level_index = level_index << 2;
    (*cell_indices)[0] = get_cell_index(level_index + 0, level);
    (*cell_indices)[1] = get_cell_index(level_index + 1, level);
    (*cell_indices)[2] = get_cell_index(level_index + 2, level);
    (*cell_indices)[3] = get_cell_index(level_index + 3, level);
  }
  return TRUE;
}

// returns the level index of the cell index at the specified level
U32 LASquadtree::get_level_index(U32 cell_index, U32 level) const
{
  if (sub_level)
  {
    return cell_index - (sub_level_index << (level*2)) - level_offset[sub_level+level];
  }
  else
  {
    return cell_index - level_offset[level];
  }
}

// returns the level index of the cell index
U32 LASquadtree::get_level_index(U32 cell_index) const
{
  return get_level_index(cell_index, levels);
}

// returns the level the cell index
U32 LASquadtree::get_level(U32 cell_index) const
{
  int level = 0;
  while (cell_index >= level_offset[level+1]) level++;
  return level;
}

// returns the cell index of the level index at the specified level
U32 LASquadtree::get_cell_index(U32 level_index, U32 level) const
{
  if (sub_level)
  {
    return level_index + (sub_level_index << (level*2)) + level_offset[sub_level+level];
  }
  else
  {
    return level_index + level_offset[level];
  }
}

// returns the cell index of the level index
U32 LASquadtree::get_cell_index(U32 level_index) const
{
  return get_cell_index(level_index, levels);
}

// returns the maximal level index at the specified level
U32 LASquadtree::get_max_level_index(U32 level) const
{
  return (1<<level)*(1<<level);
}

// returns the maximal level index
U32 LASquadtree::get_max_level_index() const
{
  return get_max_level_index(levels);
}

// returns the maximal cell index at the specified level
U32 LASquadtree::get_max_cell_index(U32 level) const
{
  return level_offset[level+1]-1;
}

// returns the maximal cell index
U32 LASquadtree::get_max_cell_index() const
{
  return get_max_cell_index(levels);
}

// recursively does the actual rastering of the occupancy
void LASquadtree::raster_occupancy(BOOL(*does_cell_exist)(I32), U32* data, U32 min_x, U32 min_y, U32 level_index, U32 level, U32 stop_level) const
{
  U32 cell_index = get_cell_index(level_index, level);
  U32 adaptive_pos = cell_index/32;
  U32 adaptive_bit = ((U32)1) << (cell_index%32);
  // have we reached a leaf
  if (adaptive[adaptive_pos] & adaptive_bit) // interior node
  {
    if (level < stop_level) // do we need to continue
    {
      level_index <<= 2;
      level += 1;
      U32 size = 1 << (stop_level-level);
      // recurse into the four children
      raster_occupancy(does_cell_exist, data, min_x, min_y, level_index, level, stop_level);
      raster_occupancy(does_cell_exist, data, min_x+size, min_y, level_index + 1, level, stop_level);
      raster_occupancy(does_cell_exist, data, min_x, min_y+size, level_index + 2, level, stop_level);
      raster_occupancy(does_cell_exist, data, min_x+size, min_y+size, level_index + 3, level, stop_level);
      return;
    }
    else // no ... raster remaining subtree
    {
      U32 full_size = (1 << stop_level);
      U32 size = 1 << (stop_level-level);
      U32 max_y = min_y + size;
      U32 pos, pos_x, pos_y;
      for (pos_y = min_y; pos_y < max_y; pos_y++)
      {
        pos = pos_y*full_size + min_x;
        for (pos_x = 0; pos_x < size; pos_x++)
        {
          data[pos/32] |= (1<<(pos%32));
          pos++;
        }
      }
    }
  }
  else if (does_cell_exist(cell_index))
  {
    // raster actual cell
    U32 full_size = (1 << stop_level);
    U32 size = 1 << (stop_level-level);
    U32 max_y = min_y + size;
    U32 pos, pos_x, pos_y;
    for (pos_y = min_y; pos_y < max_y; pos_y++)
    {
      pos = pos_y*full_size + min_x;
      for (pos_x = 0; pos_x < size; pos_x++)
      {
        data[pos/32] |= (1<<(pos%32));
        pos++;
      }
    }
  }
}

// rasters the occupancy to a simple binary raster at depth level
U32* LASquadtree::raster_occupancy(BOOL(*does_cell_exist)(I32), U32 level) const
{
  U32 size_xy = (1<<level);
  U32 temp_size = (size_xy*size_xy)/32 + ((size_xy*size_xy) % 32 ? 1 : 0);
  U32* data = new U32[temp_size];
  if (data)
  {
    memset(data, 0, sizeof(U32)*temp_size);
    raster_occupancy(does_cell_exist, data, 0, 0, 0, 0, level);
  }
  return data;
}

// rasters the occupancy to a simple binary raster at depth levels
U32* LASquadtree::raster_occupancy(BOOL(*does_cell_exist)(I32)) const
{
  return raster_occupancy(does_cell_exist, levels);
}

// read from file
BOOL LASquadtree::read(ByteStreamIn* stream)
{
  // read data in the following order
  //     U32  levels          4 bytes
  //     U32  level_index     4 bytes (default 0)
  //     U32  implicit_levels 4 bytes (only used when level_index != 0))
  //     F32  min_x           4 bytes
  //     F32  max_x           4 bytes
  //     F32  min_y           4 bytes
  //     F32  max_y           4 bytes
  // which totals 28 bytes

  char signature[4];
  try { stream->getBytes((U8*)signature, 4); } catch(...)
  {
    fprintf(stderr,"ERROR (LASquadtree): reading LASspatial signature\n");
    return FALSE;
  }
  if (strncmp(signature, "LASS", 4) != 0)
  {
    fprintf(stderr,"ERROR (LASquadtree): wrong LASspatial signature %4s instead of 'LASS'\n", signature);
    return FALSE;
  }
  U32 type;
  try { stream->getBytes((U8*)&type, 4); } catch(...)
  {
    fprintf(stderr,"ERROR (LASquadtree): reading LASspatial type\n");
    return 0;
  }
  if (type != LAS_SPATIAL_QUAD_TREE)
  {
    fprintf(stderr,"ERROR (LASquadtree): unknown LASspatial type %u\n", type);
    return 0;
  }
  try { stream->getBytes((U8*)signature, 4); } catch(...)
  {
    fprintf(stderr,"ERROR (LASquadtree): reading signature\n");
    return FALSE;
  }
  if (strncmp(signature, "LASQ", 4) != 0)
  {
//    fprintf(stderr,"ERROR (LASquadtree): wrong signature %4s instead of 'LASV'\n", signature);
//    return FALSE;
    levels = ((U32*)signature)[0];
  }
  else
  {
    U32 version;
    try { stream->get32bitsLE((U8*)&version); } catch(...)
    {
      fprintf(stderr,"ERROR (LASquadtree): reading version\n");
      return FALSE;
    }
    try { stream->get32bitsLE((U8*)&levels); } catch(...)
    {
      fprintf(stderr,"ERROR (LASquadtree): reading levels\n");
      return FALSE;
    }
  }
  U32 level_index;
  try { stream->get32bitsLE((U8*)&level_index); } catch(...)
  {
    fprintf(stderr,"ERROR (LASquadtree): reading level_index\n");
    return FALSE;
  }
  U32 implicit_levels;
  try { stream->get32bitsLE((U8*)&implicit_levels); } catch(...)
  {
    fprintf(stderr,"ERROR (LASquadtree): reading implicit_levels\n");
    return FALSE;
  }
  try { stream->get32bitsLE((U8*)&min_x); } catch(...)
  {
    fprintf(stderr,"ERROR (LASquadtree): reading min_x\n");
    return FALSE;
  }
  try { stream->get32bitsLE((U8*)&max_x); } catch(...)
  {
    fprintf(stderr,"ERROR (LASquadtree): reading max_x\n");
    return FALSE;
  }
  try { stream->get32bitsLE((U8*)&min_y); } catch(...)
  {
    fprintf(stderr,"ERROR (LASquadtree): reading min_y\n");
    return FALSE;
  }
  try { stream->get32bitsLE((U8*)&max_y); } catch(...)
  {
    fprintf(stderr,"ERROR (LASquadtree): reading max_y\n");
    return FALSE;
  }
  return TRUE;
}

BOOL LASquadtree::write(ByteStreamOut* stream) const
{
  // which totals 28 bytes
  //     U32  levels          4 bytes
  //     U32  level_index     4 bytes (default 0)
  //     U32  implicit_levels 4 bytes (only used when level_index != 0))
  //     F32  min_x           4 bytes
  //     F32  max_x           4 bytes
  //     F32  min_y           4 bytes
  //     F32  max_y           4 bytes
  // which totals 28 bytes

  if (!stream->putBytes((const U8*)"LASS", 4))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing LASspatial signature\n");
    return FALSE;
  }

  U32 type = LAS_SPATIAL_QUAD_TREE;
  if (!stream->put32bitsLE((U8*)&type))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing LASspatial type %u\n", type);
    return FALSE;
  }

  if (!stream->putBytes((const U8*)"LASQ", 4))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing signature\n");
    return FALSE;
  }

  U32 version = 0;
  if (!stream->put32bitsLE((const U8*)&version))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing version\n");
    return FALSE;
  }

  if (!stream->put32bitsLE((const U8*)&levels))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing levels %u\n", levels);
    return FALSE;
  }
  U32 level_index = 0;
  if (!stream->put32bitsLE((const U8*)&level_index))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing level_index %u\n", level_index);
    return FALSE;
  }
  U32 implicit_levels = 0;
  if (!stream->put32bitsLE((const U8*)&implicit_levels))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing implicit_levels %u\n", implicit_levels);
    return FALSE;
  }
  if (!stream->put32bitsLE((const U8*)&min_x))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing min_x %g\n", min_x);
    return FALSE;
  }
  if (!stream->put32bitsLE((const U8*)&max_x))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing max_x %g\n", max_x);
    return FALSE;
  }
  if (!stream->put32bitsLE((const U8*)&min_y))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing min_y %g\n", min_y);
    return FALSE;
  }
  if (!stream->put32bitsLE((const U8*)&max_y))
  {
    fprintf(stderr,"ERROR (LASquadtree): writing max_y %g\n", max_y);
    return FALSE;
  }
  return TRUE;
}

// create or finalize the cell (in the spatial hierarchy)
BOOL LASquadtree::manage_cell(const U32 cell_index, const BOOL finalize)
{
  U32 adaptive_pos = cell_index/32;
  U32 adaptive_bit = ((U32)1) << (cell_index%32);
  if (adaptive_pos >= adaptive_alloc)
  {
    if (adaptive)
    {
      adaptive = (U32*)realloc(adaptive, adaptive_pos*2*sizeof(U32));
      for (U32 i = adaptive_alloc; i < adaptive_pos*2; i++) adaptive[i] = 0;
      adaptive_alloc = adaptive_pos*2;
    }
    else
    {
      adaptive = (U32*)malloc((adaptive_pos+1)*sizeof(U32));
      for (U32 i = adaptive_alloc; i <= adaptive_pos; i++) adaptive[i] = 0;
      adaptive_alloc = adaptive_pos+1;
    }
  }
  adaptive[adaptive_pos] &= ~adaptive_bit;
  U32 index;
  U32 level = get_level(cell_index);
  U32 level_index = get_level_index(cell_index, level);
  while (level)
  {
    level--;
    level_index = level_index >> 2;
    index = get_cell_index(level_index, level);
    adaptive_pos = index/32;
    adaptive_bit = ((U32)1) << (index%32);
    if (adaptive[adaptive_pos] & adaptive_bit) break;
    adaptive[adaptive_pos] |= adaptive_bit;
  }
  return TRUE;
}

// check whether the x & y coordinates fall into the tiling
BOOL LASquadtree::inside(const F64 x, const F64 y) const
{
  return ((min_x <= x) && (x < max_x) && (min_y <= y) && (y < max_y));
}

U32 LASquadtree::intersect_rectangle(const F64 r_min_x, const F64 r_min_y, const F64 r_max_x, const F64 r_max_y, U32 level)
{
  if (current_cells == 0)
  {
    current_cells = (void*) new my_cell_vector;
  }
  else
  {
    ((my_cell_vector*)current_cells)->clear();
  }

  if (r_max_x <= min_x || !(r_min_x <= max_x) || r_max_y <= min_y || !(r_min_y <= max_y))
  {
    return 0;
  }

  if (adaptive)
  {
    intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, min_x, max_x, min_y, max_y, 0, 0);
  }
  else
  {
    intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, min_x, max_x, min_y, max_y, level, 0);
  }

  return (U32)(((my_cell_vector*)current_cells)->size());
}

U32 LASquadtree::intersect_rectangle(const F64 r_min_x, const F64 r_min_y, const F64 r_max_x, const F64 r_max_y)
{
  return intersect_rectangle(r_min_x, r_min_y, r_max_x, r_max_y, levels);
}

U32 LASquadtree::intersect_tile(const F32 ll_x, const F32 ll_y, const F32 size, U32 level)
{
  if (current_cells == 0)
  {
    current_cells = (void*) new my_cell_vector;
  }
  else
  {
    ((my_cell_vector*)current_cells)->clear();
  }

  volatile F32 ur_x = ll_x + size;
  volatile F32 ur_y = ll_y + size;

  if (ur_x <= min_x || !(ll_x <= max_x) || ur_y <= min_y || !(ll_y <= max_y))
  {
    return 0;
  }

  if (adaptive)
  {
    intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, min_x, max_x, min_y, max_y, 0, 0);
  }
  else
  {
    intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, min_x, max_x, min_y, max_y, level, 0);
  }

  return (U32)(((my_cell_vector*)current_cells)->size());
}

U32 LASquadtree::intersect_tile(const F32 ll_x, const F32 ll_y, const F32 size)
{
  return intersect_tile(ll_x, ll_y, size, levels);
}

U32 LASquadtree::intersect_circle(const F64 center_x, const F64 center_y, const F64 radius, U32 level)
{
  if (current_cells == 0)
  {
    current_cells = (void*) new my_cell_vector;
  }
  else
  {
    ((my_cell_vector*)current_cells)->clear();
  }

  F64 r_min_x = center_x - radius;
  F64 r_min_y = center_y - radius;
  F64 r_max_x = center_x + radius;
  F64 r_max_y = center_y + radius;

  if (r_max_x <= min_x || !(r_min_x <= max_x) || r_max_y <= min_y || !(r_min_y <= max_y))
  {
    return 0;
  }

  if (adaptive)
  {
    intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, min_x, max_x, min_y, max_y, 0, 0);
  }
  else
  {
    intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, min_x, max_x, min_y, max_y, level, 0);
  }

  return (U32)(((my_cell_vector*)current_cells)->size());
}

U32 LASquadtree::intersect_circle(const F64 center_x, const F64 center_y, const F64 radius)
{
  return intersect_circle(center_x, center_y, radius, levels);
}

void LASquadtree::intersect_rectangle_with_cells(const F64 r_min_x, const F64 r_min_y, const F64 r_max_x, const F64 r_max_y, const F32 cell_min_x, const F32 cell_max_x, const F32 cell_min_y, const F32 cell_max_y, U32 level, U32 level_index)
{
  volatile float cell_mid_x;
  volatile float cell_mid_y;
  if (level)
  {
    level--;
    level_index <<= 2;

    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;

    if (r_max_x <= cell_mid_x)
    {
      // cell_max_x = cell_mid_x;
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
      else
      {
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
    }
    else if (!(r_min_x < cell_mid_x))
    {
      // cell_min_x = cell_mid_x;
      // level_index |= 1;
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
    else
    {
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_rectangle_with_cells(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
  }
  else
  {
    ((my_cell_vector*)current_cells)->push_back(level_index);
  }
}

void LASquadtree::intersect_rectangle_with_cells_adaptive(const F64 r_min_x, const F64 r_min_y, const F64 r_max_x, const F64 r_max_y, const F32 cell_min_x, const F32 cell_max_x, const F32 cell_min_y, const F32 cell_max_y, U32 level, U32 level_index)
{
  volatile float cell_mid_x;
  volatile float cell_mid_y;
  U32 cell_index = get_cell_index(level_index, level);
  U32 adaptive_pos = cell_index/32;
  U32 adaptive_bit = ((U32)1) << (cell_index%32);
  if ((level < levels) && (adaptive[adaptive_pos] & adaptive_bit))
  {
    level++;
    level_index <<= 2;

    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;

    if (r_max_x <= cell_mid_x)
    {
      // cell_max_x = cell_mid_x;
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
      else
      {
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
    }
    else if (!(r_min_x < cell_mid_x))
    {
      // cell_min_x = cell_mid_x;
      // level_index |= 1;
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
    else
    {
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_rectangle_with_cells_adaptive(r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
  }
  else
  {
    ((my_cell_vector*)current_cells)->push_back(cell_index);
  }
}

void LASquadtree::intersect_tile_with_cells(const F32 ll_x, const F32 ll_y, const F32 ur_x, const F32 ur_y, const F32 cell_min_x, const F32 cell_max_x, const F32 cell_min_y, const F32 cell_max_y, U32 level, U32 level_index)
{
  volatile float cell_mid_x;
  volatile float cell_mid_y;
  if (level)
  {
    level--;
    level_index <<= 2;

    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;

    if (ur_x <= cell_mid_x)
    {
      // cell_max_x = cell_mid_x;
      if (ur_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
      }
      else if (!(ll_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
      else
      {
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
    }
    else if (!(ll_x < cell_mid_x))
    {
      // cell_min_x = cell_mid_x;
      // level_index |= 1;
      if (ur_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(ll_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
    else
    {
      if (ur_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(ll_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_tile_with_cells(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
  }
  else
  {
    ((my_cell_vector*)current_cells)->push_back(level_index);
  }
}

void LASquadtree::intersect_tile_with_cells_adaptive(const F32 ll_x, const F32 ll_y, const F32 ur_x, const F32 ur_y, const F32 cell_min_x, const F32 cell_max_x, const F32 cell_min_y, const F32 cell_max_y, U32 level, U32 level_index)
{
  volatile float cell_mid_x;
  volatile float cell_mid_y;
  U32 cell_index = get_cell_index(level_index, level);
  U32 adaptive_pos = cell_index/32;
  U32 adaptive_bit = ((U32)1) << (cell_index%32);
  if ((level < levels) && (adaptive[adaptive_pos] & adaptive_bit))
  {
    level++;
    level_index <<= 2;

    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;

    if (ur_x <= cell_mid_x)
    {
      // cell_max_x = cell_mid_x;
      if (ur_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
      }
      else if (!(ll_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
      else
      {
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
    }
    else if (!(ll_x < cell_mid_x))
    {
      // cell_min_x = cell_mid_x;
      // level_index |= 1;
      if (ur_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(ll_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
    else
    {
      if (ur_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(ll_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_tile_with_cells_adaptive(ll_x, ll_y, ur_x, ur_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
  }
  else
  {
    ((my_cell_vector*)current_cells)->push_back(cell_index);
  }
}

void LASquadtree::intersect_circle_with_cells(const F64 center_x, const F64 center_y, const F64 radius, const F64 r_min_x, const F64 r_min_y, const F64 r_max_x, const F64 r_max_y, const F32 cell_min_x, const F32 cell_max_x, const F32 cell_min_y, const F32 cell_max_y, U32 level, U32 level_index)
{
  volatile float cell_mid_x;
  volatile float cell_mid_y;
  if (level)
  {
    level--;
    level_index <<= 2;

    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;

    if (r_max_x <= cell_mid_x)
    {
      // cell_max_x = cell_mid_x;
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
      else
      {
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
    }
    else if (!(r_min_x < cell_mid_x))
    {
      // cell_min_x = cell_mid_x;
      // level_index |= 1;
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
    else
    {
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_circle_with_cells(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
  }
  else
  {
    if (intersect_circle_with_rectangle(center_x, center_y, radius, cell_min_x, cell_max_x, cell_min_y, cell_max_y))
    {
      ((my_cell_vector*)current_cells)->push_back(level_index);
    }
  }
}

void LASquadtree::intersect_circle_with_cells_adaptive(const F64 center_x, const F64 center_y, const F64 radius, const F64 r_min_x, const F64 r_min_y, const F64 r_max_x, const F64 r_max_y, const F32 cell_min_x, const F32 cell_max_x, const F32 cell_min_y, const F32 cell_max_y, U32 level, U32 level_index)
{
  volatile float cell_mid_x;
  volatile float cell_mid_y;
  U32 cell_index = get_cell_index(level_index, level);
  U32 adaptive_pos = cell_index/32;
  U32 adaptive_bit = ((U32)1) << (cell_index%32);
  if ((level < levels) && (adaptive[adaptive_pos] & adaptive_bit))
  {
    level++;
    level_index <<= 2;

    cell_mid_x = (cell_min_x + cell_max_x)/2;
    cell_mid_y = (cell_min_y + cell_max_y)/2;

    if (r_max_x <= cell_mid_x)
    {
      // cell_max_x = cell_mid_x;
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
      else
      {
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
      }
    }
    else if (!(r_min_x < cell_mid_x))
    {
      // cell_min_x = cell_mid_x;
      // level_index |= 1;
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
    else
    {
      if (r_max_y <= cell_mid_y)
      {
        // cell_max_y = cell_mid_y;
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
      }
      else if (!(r_min_y < cell_mid_y))
      {
        // cell_min_y = cell_mid_y;
        // level_index |= 1;
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
      else
      {
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_min_y, cell_mid_y, level, level_index);
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_min_y, cell_mid_y, level, level_index | 1);
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_min_x, cell_mid_x, cell_mid_y, cell_max_y, level, level_index | 2);
        intersect_circle_with_cells_adaptive(center_x, center_y, radius, r_min_x, r_min_y, r_max_x, r_max_y, cell_mid_x, cell_max_x, cell_mid_y, cell_max_y, level, level_index | 3);
      }
    }
  }
  else
  {
    if (intersect_circle_with_rectangle(center_x, center_y, radius, cell_min_x, cell_max_x, cell_min_y, cell_max_y))
    {
      ((my_cell_vector*)current_cells)->push_back(cell_index);
    }
  }
}

BOOL LASquadtree::intersect_circle_with_rectangle(const F64 center_x, const F64 center_y, const F64 radius, const F32 r_min_x, const F32 r_max_x, const F32 r_min_y, const F32 r_max_y)
{
  F64 r_diff_x, r_diff_y;
  F64 radius_squared = radius * radius;
  if (r_max_x < center_x) // R to left of circle center
  {
    r_diff_x = center_x - r_max_x;
    if (r_max_y < center_y) // R in lower left corner
    {
      r_diff_y = center_y - r_max_y;
      return ((r_diff_x * r_diff_x + r_diff_y * r_diff_y) < radius_squared);
    }
    else if (r_min_y > center_y) // R in upper left corner
    {
      r_diff_y = -center_y + r_min_y;
      return ((r_diff_x * r_diff_x + r_diff_y * r_diff_y) < radius_squared);
    }
    else // R due West of circle
    {
      return (r_diff_x < radius);
    }
  }
  else if (r_min_x > center_x) // R to right of circle center
  {
    r_diff_x = -center_x + r_min_x;
    if (r_max_y < center_y) // R in lower right corner
    {
      r_diff_y = center_y - r_max_y;
      return ((r_diff_x * r_diff_x + r_diff_y * r_diff_y) < radius_squared);
    }
    else if (r_min_y > center_y) // R in upper right corner
    {
      r_diff_y = -center_y + r_min_y;
      return ((r_diff_x * r_diff_x + r_diff_y * r_diff_y) < radius_squared);
    }
    else // R due East of circle
    {
      return (r_diff_x < radius);
    }
  }
  else // R on circle vertical centerline
  {
    if (r_max_y < center_y) // R due South of circle
    {
      r_diff_y = center_y - r_max_y;
      return (r_diff_y < radius);
    }
    else if (r_min_y > center_y) // R due North of circle
    {
      r_diff_y = -center_y + r_min_y;
      return (r_diff_y < radius);
    }
    else // R contains circle centerpoint
    {
      return TRUE;
    }
  }
}

BOOL LASquadtree::get_all_cells()
{
  intersect_rectangle(min_x, min_y, max_x, max_y);
  return get_intersected_cells();
}

BOOL LASquadtree::get_intersected_cells()
{
  next_cell_index = 0;
  if (current_cells == 0)
  {
    return FALSE;
  }
  if (((my_cell_vector*)current_cells)->size() == 0)
  {
    return FALSE;
  }
  return TRUE;
}

BOOL LASquadtree::has_more_cells()
{
  if (current_cells == 0)
  {
    return FALSE;
  }
  if (next_cell_index >= ((my_cell_vector*)current_cells)->size())
  {
    return FALSE;
  }
  if (adaptive)
  {
    current_cell = ((my_cell_vector*)current_cells)->at(next_cell_index);
  }
  else
  {
    current_cell = level_offset[levels] + ((my_cell_vector*)current_cells)->at(next_cell_index);
  }
  next_cell_index++;
  return TRUE;
}

BOOL LASquadtree::setup(F64 bb_min_x, F64 bb_max_x, F64 bb_min_y, F64 bb_max_y, F32 cell_size)
{
  this->cell_size = cell_size;
  this->sub_level = 0;
  this->sub_level_index = 0;

  // enlarge bounding box to units of cells
  if (bb_min_x >= 0) min_x = cell_size*((I32)(bb_min_x/cell_size));
  else min_x = cell_size*((I32)(bb_min_x/cell_size)-1);
  if (bb_max_x >= 0) max_x = cell_size*((I32)(bb_max_x/cell_size)+1);
  else max_x = cell_size*((I32)(bb_max_x/cell_size));
  if (bb_min_y >= 0) min_y = cell_size*((I32)(bb_min_y/cell_size));
  else min_y = cell_size*((I32)(bb_min_y/cell_size)-1);
  if (bb_max_y >= 0) max_y = cell_size*((I32)(bb_max_y/cell_size)+1);
  else max_y = cell_size*((I32)(bb_max_y/cell_size));

  // how many cells minimally in each direction
  cells_x = U32_QUANTIZE((max_x - min_x)/cell_size);
  cells_y = U32_QUANTIZE((max_y - min_y)/cell_size);

  if (cells_x == 0 || cells_y == 0)
  {
    fprintf(stderr, "ERROR: cells_x %d cells_y %d\n", cells_x, cells_y);
    return FALSE;
  }

  // how many quad tree levels to get to that many cells
  U32 c = ((cells_x > cells_y) ? cells_x - 1 : cells_y - 1);
  levels = 0;
  while (c)
  {
    c = c >> 1;
    levels++;
  }

  // enlarge bounding box to quad tree size
  U32 c1, c2;
  c = (1 << levels) - cells_x;
  c1 = c/2;
  c2 = c - c1;
  min_x -= (c2 * cell_size);
  max_x += (c1 * cell_size);
  c = (1 << levels) - cells_y;
  c1 = c/2;
  c2 = c - c1;
  min_y -= (c2 * cell_size);
  max_y += (c1 * cell_size);

  return TRUE;
}

BOOL LASquadtree::setup(F64 bb_min_x, F64 bb_max_x, F64 bb_min_y, F64 bb_max_y, F32 cell_size, F32 offset_x, F32 offset_y)
{
  this->cell_size = cell_size;
  this->sub_level = 0;
  this->sub_level_index = 0;

  // enlarge bounding box to units of cells
  if ((bb_min_x-offset_x) >= 0) min_x = cell_size*((I32)((bb_min_x-offset_x)/cell_size)) + offset_x;
  else min_x = cell_size*((I32)((bb_min_x-offset_x)/cell_size)-1) + offset_x;
  if ((bb_max_x-offset_x) >= 0) max_x = cell_size*((I32)((bb_max_x-offset_x)/cell_size)+1) + offset_x;
  else max_x = cell_size*((I32)((bb_max_x-offset_x)/cell_size)) + offset_x;
  if ((bb_min_y-offset_y) >= 0) min_y = cell_size*((I32)((bb_min_y-offset_y)/cell_size)) + offset_y;
  else min_y = cell_size*((I32)((bb_min_y-offset_y)/cell_size)-1) + offset_y;
  if ((bb_max_y-offset_y) >= 0) max_y = cell_size*((I32)((bb_max_y-offset_y)/cell_size)+1) + offset_y;
  else max_y = cell_size*((I32)((bb_max_y-offset_y)/cell_size)) + offset_y;

  // how many cells minimally in each direction
  cells_x = U32_QUANTIZE((max_x - min_x)/cell_size);
  cells_y = U32_QUANTIZE((max_y - min_y)/cell_size);

  if (cells_x == 0 || cells_y == 0)
  {
    fprintf(stderr, "ERROR: cells_x %d cells_y %d\n", cells_x, cells_y);
    return FALSE;
  }

  // how many quad tree levels to get to that many cells
  U32 c = ((cells_x > cells_y) ? cells_x - 1 : cells_y - 1);
  levels = 0;
  while (c)
  {
    c = c >> 1;
    levels++;
  }

  // enlarge bounding box to quad tree size
  U32 c1, c2;
  c = (1 << levels) - cells_x;
  c1 = c/2;
  c2 = c - c1;
  min_x -= (c2 * cell_size);
  max_x += (c1 * cell_size);
  c = (1 << levels) - cells_y;
  c1 = c/2;
  c2 = c - c1;
  min_y -= (c2 * cell_size);
  max_y += (c1 * cell_size);

  return TRUE;
}

BOOL LASquadtree::tiling_setup(F32 min_x, F32 max_x, F32 min_y, F32 max_y, U32 levels)
{
  this->min_x = min_x;
  this->max_x = max_x;
  this->min_y = min_y;
  this->max_y = max_y;
  this->levels = levels;
  this->sub_level = 0;
  this->sub_level_index = 0;
  return TRUE;
}

BOOL LASquadtree::subtiling_setup(F32 min_x, F32 max_x, F32 min_y, F32 max_y, U32 sub_level, U32 sub_level_index, U32 levels)
{
  this->min_x = min_x;
  this->max_x = max_x;
  this->min_y = min_y;
  this->max_y = max_y;
  F32 min[2];
  F32 max[2];
  get_cell_bounding_box(sub_level_index, sub_level, min, max);
  this->min_x = min[0];
  this->max_x = max[0];
  this->min_y = min[1];
  this->max_y = max[1];
  this->sub_level = sub_level;
  this->sub_level_index = sub_level_index;
  this->levels = levels;
  return TRUE;
}

LASquadtree::LASquadtree()
{
  U32 l;
  levels = 0;
  cell_size = 0;
  min_x = 0;
  max_x = 0;
  min_y = 0;
  max_y = 0;
  cells_x = 0;
  cells_y = 0;
  sub_level = 0;
  sub_level_index = 0;
  level_offset[0] = 0;
  for (l = 0; l < 23; l++)
  {
    level_offset[l+1] = level_offset[l] + ((1<<l)*(1<<l));
  }
  current_cells = 0;
  adaptive_alloc = 0;
  adaptive = 0;
}

LASquadtree::~LASquadtree()
{
  if (current_cells) delete ((my_cell_vector*)current_cells);
  if (adaptive) free(adaptive);
}