testOccupancyGrid.cpp
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1 
9 
10 #if 0
11 
13 #include <gtsam/geometry/Pose2.h>
14 
15 #include <vector>
16 #include <cmath.>
17 #include <random>
18 
19 #include <stdlib.h>
20 
21 using namespace std;
22 using namespace gtsam;
23 
24 
30 class LaserFactor : public DiscreteFactor{
31 private:
32  vector<Index> m_cells;
33 
34 public:
35 
37  LaserFactor(const vector<Index> &cells) : m_cells(cells) {}
38 
44  virtual double operator()(const Values &vals) const{
45 
46  // loops through all but the last cell and checks that they are all 0. Otherwise return 1000.
47  for(Index i = 0; i < m_cells.size() - 1; i++){
48  if(vals.at(m_cells[i]) == 1)
49  return 1000;
50  }
51 
52  // check if the last cell hit by the laser is 1. return 900 otherwise.
53  if(vals.at(m_cells[m_cells.size() - 1]) == 0)
54  return 900;
55 
56  return 1;
57 
58  }
59 
61  virtual DecisionTreeFactor operator*(const DecisionTreeFactor&) const{
62  throw runtime_error("operator * not implemented");
63  }
64 
65  virtual DecisionTreeFactor toDecisionTreeFactor() const{
66  throw runtime_error("DecisionTreeFactor toDecisionTreeFactor not implemented");
67  }
68 };
69 
76 class OccupancyGrid : public DiscreteFactorGraph {
77 private:
78  size_t width_; //number of cells wide the grid is
79  size_t height_; //number of cells tall the grid is
80  double res_; //the resolution at which the grid is created
81 
82  vector<Index> cells_; //list of keys of all cells in the grid
83  vector<Index> laser_indices_; //indices of the laser factor in factors_
84 
85 
86 public:
87 
88  size_t width() const {
89  return width_;
90  }
91  size_t height() const {
92  return height_;
93  }
94  // should we just not typedef Values Occupancy; ?
95  class Occupancy : public Values {
96  private:
97  public:
98  };
99 
100 
101  typedef std::vector<double> Marginals;
104  OccupancyGrid(double width, double height, double resolution){
105  width_ = width/resolution;
106  height_ = height/resolution;
107  res_ = resolution;
108 
109  for(Index i = 0; i < cellCount(); i++)
110  cells_.push_back(i);
111  }
112 
114  Occupancy emptyOccupancy(){
115  Occupancy occupancy; //mapping from Index to value (0 or 1)
116  for(size_t i = 0; i < cellCount(); i++)
117  occupancy.insert(pair<Index, size_t>((Index)i,0));
118 
119  return occupancy;
120  }
121 
123  void addPosePrior(Index cell, double prior){
124  size_t numStates = 2;
125  DiscreteKey key(cell, numStates);
126 
127  //add a factor
128  vector<double> table(2);
129  table[0] = 1-prior;
130  table[1] = prior;
131  add(key, table);
132  }
133 
135  void addLaser(const Pose2 &pose, double range){
136  //ray trace from pose to range t//a >= 1 accept new stateo find all cells the laser passes through
137  double x = pose.x(); //start position of the laser
138  double y = pose.y();
139  double step = res_/8.0; //amount to step in each iteration of laser traversal
140 
141  Index key;
142  vector<Index> cells; //list of keys of cells hit by the laser
143 
144  //traverse laser
145  for(double i = 0; i < range; i += step){
146  //get point on laser
147  x = pose.x() + i*cos(pose.theta());
148  y = pose.y() + i*sin(pose.theta());
149 
150  //printf("%lf %lf\n", x, y);
151  //get the key of the cell that holds point (x,y)
152  key = keyLookup(x,y);
153 
154  //add cell to list of cells if it is new
155  if(i == 0 || key != cells[cells.size()-1])
156  cells.push_back(key);
157  }
158 
159 // for(size_t i = 0; i < cells.size(); i++)
160 // printf("%ld ", cells[i]);
161 // printf("\n");
162 
163  //add a factor that connects all those cells
164  laser_indices_.push_back(factors_.size());
165  push_back(std::make_shared<LaserFactor>(cells));
166 
167  }
168 
170  size_t cellCount() const {
171  return width_*height_;
172  }
173 
175  Index keyLookup(double x, double y) const {
176  //move (x,y) to the nearest resolution
177  x *= (1.0/res_);
178  y *= (1.0/res_);
179 
180  //round to nearest integer
181  x = (double)((int)x);
182  y = (double)((int)y);
183 
184  //determine index
185  x += width_/2;
186  y = height_/2 - y;
187 
188  //bounds checking
189  size_t index = y*width_ + x;
190  index = index >= width_*height_ ? -1 : index;
191 
192  return cells_[index];
193  }
194 
201  double laserFactorValue(Index index, const Occupancy &occupancy) const{
202  return (*factors_[ laser_indices_[index] ])(occupancy);
203  }
204 
206  double operator()(const Occupancy &occupancy) const {
207  double value = 0;
208 
209  // loop over all laser factors in the graph
210  //printf("%ld\n", (*this).size());
211 
212  for(Index i = 0; i < laser_indices_.size(); i++){
213  value += laserFactorValue(i, occupancy);
214  }
215 
216  return value;
217  }
218 
224  Marginals runMetropolis(size_t iterations){
225  Occupancy occupancy = emptyOccupancy();
226 
227  size_t size = cellCount();
229 
230  // NOTE: using older interface for boost.random due to interface changes after boost 1.46
231  std::mt19937 rng;
232  std::uniform_int_distribution<> random_cell(0, size - 1);
233 
234  // run Metropolis for the requested number of operations
235  // compute initial probability of occupancy grid, P(x_t)
236 
237  double Px = (*this)(occupancy);
238 
239  for(size_t it = 0; it < marginals.size(); it++)
240  marginals[it] = 0;
241 
242  for(size_t it = 0; it < iterations; it++){
243  //choose a random cell
244  Index x = random_cell(rng);
245  //printf("%ld:",x);
246  //flip the state of a random cell, x
247  occupancy[x] = 1 - occupancy[x];
248 
249  //compute probability of new occupancy grid, P(x')
250  //by summing over all LaserFactor::operator()
251  double Px_prime = (*this)(occupancy);
252 
253  //occupancy.print();
254  //calculate acceptance ratio, a
255  double a = Px_prime/Px;
256 
257  //if a <= 1 otherwise accept with probability a
258  //if we accept the new state P(x_t) = P(x')
259  // printf(" %.3lf %.3lf\t", Px, Px_prime);
260  if(a <= 1){
261  Px = Px_prime;
262  //printf("\taccept\n");
263  }
264  else{
265  occupancy[x] = 1 - occupancy[x];
266  // printf("\treject\n");
267  }
268 
269  //increment the number of iterations each cell has been on
270  for(size_t i = 0; i < size; i++){
271  if(occupancy[i] == 1)
272  marginals[i]++;
273  }
274  }
275 
276  //compute the marginals
277  for(size_t it = 0; it < size; it++)
278  marginals[it] /= iterations;
279 
280  return marginals;
281  }
282 
283 };
284 
285 /* ************************************************************************* */
286 TEST( OccupancyGrid, Test1) {
287  //Build a small grid and test optimization
288 
289  //Build small grid
290  double width = 3; //meters
291  double height = 2; //meters
292  double resolution = 0.5; //meters
293  OccupancyGrid occupancyGrid(width, height, resolution); //default center to middle
294 
295  //Add measurements
296  Pose2 pose(0,0,0);
297  double range = 1;
298 
299  occupancyGrid.addPosePrior(0, 0.7);
300  EXPECT_LONGS_EQUAL(1, occupancyGrid.size());
301 
302  occupancyGrid.addLaser(pose, range);
303  EXPECT_LONGS_EQUAL(2, occupancyGrid.size());
304 
305  OccupancyGrid::Occupancy occupancy = occupancyGrid.emptyOccupancy();
306  EXPECT_LONGS_EQUAL(900, occupancyGrid.laserFactorValue(0,occupancy));
307 
308 
309  occupancy[16] = 1;
310  EXPECT_LONGS_EQUAL(1, occupancyGrid.laserFactorValue(0,occupancy));
311 
312  occupancy[15] = 1;
313  EXPECT_LONGS_EQUAL(1000, occupancyGrid.laserFactorValue(0,occupancy));
314 
315  occupancy[16] = 0;
316  EXPECT_LONGS_EQUAL(1000, occupancyGrid.laserFactorValue(0,occupancy));
317 
318 
319  //run MCMC
320  OccupancyGrid::Marginals occupancyMarginals = occupancyGrid.runMetropolis(50000);
321  EXPECT_LONGS_EQUAL( (width*height)/pow(resolution,2), occupancyMarginals.size());
322 
323 
324 
325 }
326 
327 #endif
328 
329 /* ************************************************************************* */
330 int main() {
331  TestResult tr;
332  return TestRegistry::runAllTests(tr);
333 }
334 /* ************************************************************************* */
335 
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