pf_kdtree.c

/*
 *  Player - One Hell of a Robot Server
 *  Copyright (C) 2000  Brian Gerkey   &  Kasper Stoy
 *                      gerkey@usc.edu    kaspers@robotics.usc.edu
 *
 *  This library is free software; you can redistribute it and/or
 *  modify it under the terms of the GNU Lesser General Public
 *  License as published by the Free Software Foundation; either
 *  version 2.1 of the License, or (at your option) any later version.
 *
 *  This library is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 *  Lesser General Public License for more details.
 *
 *  You should have received a copy of the GNU Lesser General Public
 *  License along with this library; if not, write to the Free Software
 *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 *
 */
/**************************************************************************
 * Desc: kd-tree functions
 * Author: Andrew Howard
 * Date: 18 Dec 2002
 * CVS: $Id: pf_kdtree.c 7057 2008-10-02 00:44:06Z gbiggs $
 *************************************************************************/
 
#include <assert.h>
#include <math.h>
#include <stdlib.h>
#include <string.h>
 
 
#include "nav2_amcl/pf/pf_vector.hpp"
#include "nav2_amcl/pf/pf_kdtree.hpp"
 
 
// Compare keys to see if they are equal
static int pf_kdtree_equal(pf_kdtree_t * self, int key_a[], int key_b[]);
 
// Insert a node into the tree
static pf_kdtree_node_t * pf_kdtree_insert_node(
  pf_kdtree_t * self, pf_kdtree_node_t * parent,
  pf_kdtree_node_t * node, int key[], double value);
 
// Recursive node search
static pf_kdtree_node_t * pf_kdtree_find_node(
  pf_kdtree_t * self, pf_kdtree_node_t * node,
  int key[]);
 
// Recursively label nodes in this cluster
static void pf_kdtree_cluster_node(pf_kdtree_t * self, pf_kdtree_node_t * node, int depth);
 
// Recursive node printing
// static void pf_kdtree_print_node(pf_kdtree_t *self, pf_kdtree_node_t *node);
 
 
#ifdef INCLUDE_RTKGUI
 
// Recursively draw nodes
static void pf_kdtree_draw_node(pf_kdtree_t * self, pf_kdtree_node_t * node, rtk_fig_t * fig);
 
#endif
 
 
// Create a tree
pf_kdtree_t * pf_kdtree_alloc(int max_size)
{
  pf_kdtree_t * self;
 
  self = calloc(1, sizeof(pf_kdtree_t));
 
  self->size[0] = 0.50;
  self->size[1] = 0.50;
  self->size[2] = (10 * M_PI / 180);
 
  self->root = NULL;
 
  self->node_count = 0;
  self->node_max_count = max_size;
  self->nodes = calloc(self->node_max_count, sizeof(pf_kdtree_node_t));
 
  self->leaf_count = 0;
 
  return self;
}
 
 
// Destroy a tree
void pf_kdtree_free(pf_kdtree_t * self)
{
  free(self->nodes);
  free(self);
}
 
 
// Clear all entries from the tree
void pf_kdtree_clear(pf_kdtree_t * self)
{
  self->root = NULL;
  self->leaf_count = 0;
  self->node_count = 0;
}
 
 
// Insert a pose into the tree.
void pf_kdtree_insert(pf_kdtree_t * self, pf_vector_t pose, double value)
{
  int key[3];
 
  key[0] = floor(pose.v[0] / self->size[0]);
  key[1] = floor(pose.v[1] / self->size[1]);
  key[2] = floor(pose.v[2] / self->size[2]);
 
  self->root = pf_kdtree_insert_node(self, NULL, self->root, key, value);
 
  // Test code
  /*
  printf("find %d %d %d\n", key[0], key[1], key[2]);
  assert(pf_kdtree_find_node(self, self->root, key) != NULL);
 
  pf_kdtree_print_node(self, self->root);
 
  printf("\n");
 
  for (i = 0; i < self->node_count; i++)
  {
    node = self->nodes + i;
    if (node->leaf)
    {
      printf("find %d %d %d\n", node->key[0], node->key[1], node->key[2]);
      assert(pf_kdtree_find_node(self, self->root, node->key) == node);
    }
  }
  printf("\n\n");
  */
}
 
 
// Determine the probability estimate for the given pose. TODO: this
// should do a kernel density estimate rather than a simple histogram.
// double pf_kdtree_get_prob(pf_kdtree_t * self, pf_vector_t pose)
// {
//   int key[3];
//   pf_kdtree_node_t * node;
 
//   key[0] = floor(pose.v[0] / self->size[0]);
//   key[1] = floor(pose.v[1] / self->size[1]);
//   key[2] = floor(pose.v[2] / self->size[2]);
 
//   node = pf_kdtree_find_node(self, self->root, key);
//   if (node == NULL) {
//     return 0.0;
//   }
//   return node->value;
// }
 
 
// Determine the cluster label for the given pose
int pf_kdtree_get_cluster(pf_kdtree_t * self, pf_vector_t pose)
{
  int key[3];
  pf_kdtree_node_t * node;
 
  key[0] = floor(pose.v[0] / self->size[0]);
  key[1] = floor(pose.v[1] / self->size[1]);
  key[2] = floor(pose.v[2] / self->size[2]);
 
  node = pf_kdtree_find_node(self, self->root, key);
  if (node == NULL) {
    return -1;
  }
  return node->cluster;
}
 
 
// Compare keys to see if they are equal
int pf_kdtree_equal(pf_kdtree_t * self, int key_a[], int key_b[])
{
  (void)self;
  // double a, b;
 
  if (key_a[0] != key_b[0]) {
    return 0;
  }
  if (key_a[1] != key_b[1]) {
    return 0;
  }
 
  if (key_a[2] != key_b[2]) {
    return 0;
  }
 
  /* TODO: make this work (pivot selection needs fixing, too)
  // Normalize angles
  a = key_a[2] * self->size[2];
  a = atan2(sin(a), cos(a)) / self->size[2];
  b = key_b[2] * self->size[2];
  b = atan2(sin(b), cos(b)) / self->size[2];
 
 if ((int) a != (int) b)
    return 0;
  */
 
  return 1;
}
 
 
// Insert a node into the tree
pf_kdtree_node_t * pf_kdtree_insert_node(
  pf_kdtree_t * self, pf_kdtree_node_t * parent,
  pf_kdtree_node_t * node, int key[], double value)
{
  int i;
  int split, max_split;
 
  // If the node doesn't exist yet...
  if (node == NULL) {
    assert(self->node_count < self->node_max_count);
    node = self->nodes + self->node_count++;
    memset(node, 0, sizeof(pf_kdtree_node_t));
 
    node->leaf = 1;
 
    if (parent == NULL) {
      node->depth = 0;
    } else {
      node->depth = parent->depth + 1;
    }
 
    for (i = 0; i < 3; i++) {
      node->key[i] = key[i];
    }
 
    node->value = value;
    self->leaf_count += 1;
  } else if (node->leaf) {  // If the node exists, and it is a leaf node...
    // If the keys are equal, increment the value
    if (pf_kdtree_equal(self, key, node->key)) {
      node->value += value;
    } else {  // The keys are not equal, so split this node
      // Find the dimension with the largest variance and do a mean
      // split
      max_split = 0;
      node->pivot_dim = -1;
      for (i = 0; i < 3; i++) {
        split = abs(key[i] - node->key[i]);
        if (split > max_split) {
          max_split = split;
          node->pivot_dim = i;
        }
      }
      assert(node->pivot_dim >= 0);
 
      node->pivot_value = (key[node->pivot_dim] + node->key[node->pivot_dim]) / 2.0;
 
      if (key[node->pivot_dim] < node->pivot_value) {
        node->children[0] = pf_kdtree_insert_node(self, node, NULL, key, value);
        node->children[1] = pf_kdtree_insert_node(self, node, NULL, node->key, node->value);
      } else {
        node->children[0] = pf_kdtree_insert_node(self, node, NULL, node->key, node->value);
        node->children[1] = pf_kdtree_insert_node(self, node, NULL, key, value);
      }
 
      node->leaf = 0;
      self->leaf_count -= 1;
    }
  } else {  // If the node exists, and it has children...
    assert(node->children[0] != NULL);
    assert(node->children[1] != NULL);
 
    if (key[node->pivot_dim] < node->pivot_value) {
      pf_kdtree_insert_node(self, node, node->children[0], key, value);
    } else {
      pf_kdtree_insert_node(self, node, node->children[1], key, value);
    }
  }
 
  return node;
}
 
 
// Recursive node search
pf_kdtree_node_t * pf_kdtree_find_node(pf_kdtree_t * self, pf_kdtree_node_t * node, int key[])
{
  if (node->leaf) {
    // printf("find  : leaf %p %d %d %d\n", node, node->key[0], node->key[1], node->key[2]);
 
    // If the keys are the same...
    if (pf_kdtree_equal(self, key, node->key)) {
      return node;
    } else {
      return NULL;
    }
  } else {
    // printf("find  : brch %p %d %f\n", node, node->pivot_dim, node->pivot_value);
 
    assert(node->children[0] != NULL);
    assert(node->children[1] != NULL);
 
    // If the keys are different...
    if (key[node->pivot_dim] < node->pivot_value) {
      return pf_kdtree_find_node(self, node->children[0], key);
    } else {
      return pf_kdtree_find_node(self, node->children[1], key);
    }
  }
 
  return NULL;
}
 
 
// Recursive node printing
/*
void pf_kdtree_print_node(pf_kdtree_t *self, pf_kdtree_node_t *node)
{
  if (node->leaf)
  {
    printf("(%+02d %+02d %+02d)\n", node->key[0], node->key[1], node->key[2]);
    printf("%*s", node->depth * 11, "");
  }
  else
  {
    printf("(%+02d %+02d %+02d) ", node->key[0], node->key[1], node->key[2]);
    pf_kdtree_print_node(self, node->children[0]);
    pf_kdtree_print_node(self, node->children[1]);
  }
  return;
}
*/
 
 
// Cluster the leaves in the tree
void pf_kdtree_cluster(pf_kdtree_t * self)
{
  int i;
  int queue_count, cluster_count;
  pf_kdtree_node_t ** queue, * node;
 
  queue_count = 0;
  queue = calloc(self->node_count, sizeof(queue[0]));
 
  // Put all the leaves in a queue
  for (i = 0; i < self->node_count; i++) {
    node = self->nodes + i;
    if (node->leaf) {
      node->cluster = -1;
      assert(queue_count < self->node_count);
      queue[queue_count++] = node;
 
      // TESTING; remove
      assert(node == pf_kdtree_find_node(self, self->root, node->key));
    }
  }
 
  cluster_count = 0;
 
  // Do connected components for each node
  while (queue_count > 0) {
    node = queue[--queue_count];
 
    // If this node has already been labelled, skip it
    if (node->cluster >= 0) {
      continue;
    }
 
    // Assign a label to this cluster
    node->cluster = cluster_count++;
 
    // Recursively label nodes in this cluster
    pf_kdtree_cluster_node(self, node, 0);
  }
 
  free(queue);
}
 
 
// Recursively label nodes in this cluster
void pf_kdtree_cluster_node(pf_kdtree_t * self, pf_kdtree_node_t * node, int depth)
{
  int i;
  int nkey[3];
  pf_kdtree_node_t * nnode;
 
  for (i = 0; i < 3 * 3 * 3; i++) {
    nkey[0] = node->key[0] + (i / 9) - 1;
    nkey[1] = node->key[1] + ((i % 9) / 3) - 1;
    nkey[2] = node->key[2] + ((i % 9) % 3) - 1;
 
    nnode = pf_kdtree_find_node(self, self->root, nkey);
    if (nnode == NULL) {
      continue;
    }
 
    assert(nnode->leaf);
 
    // This node already has a label; skip it.  The label should be
    // consistent, however.
    if (nnode->cluster >= 0) {
      assert(nnode->cluster == node->cluster);
      continue;
    }
 
    // Label this node and recurse
    nnode->cluster = node->cluster;
 
    pf_kdtree_cluster_node(self, nnode, depth + 1);
  }
}
 
 
#ifdef INCLUDE_RTKGUI
 
// Draw the tree
void pf_kdtree_draw(pf_kdtree_t * self, rtk_fig_t * fig)
{
  if (self->root != NULL) {
    pf_kdtree_draw_node(self, self->root, fig);
  }
}
 
 
// Recursively draw nodes
void pf_kdtree_draw_node(pf_kdtree_t * self, pf_kdtree_node_t * node, rtk_fig_t * fig)
{
  double ox, oy;
  char text[64];
 
  if (node->leaf) {
    ox = (node->key[0] + 0.5) * self->size[0];
    oy = (node->key[1] + 0.5) * self->size[1];
 
    rtk_fig_rectangle(fig, ox, oy, 0.0, self->size[0], self->size[1], 0);
 
    // snprintf(text, sizeof(text), "%0.3f", node->value);
    // rtk_fig_text(fig, ox, oy, 0.0, text);
 
    snprintf(text, sizeof(text), "%d", node->cluster);
    rtk_fig_text(fig, ox, oy, 0.0, text);
  } else {
    assert(node->children[0] != NULL);
    assert(node->children[1] != NULL);
    pf_kdtree_draw_node(self, node->children[0], fig);
    pf_kdtree_draw_node(self, node->children[1], fig);
  }
}
 
#endif