| 1 | #include <stdlib.h>
|
|---|
| 2 | #include <time.h>
|
|---|
| 3 |
|
|---|
| 4 | #include <iostream>
|
|---|
| 5 | #include <deque>
|
|---|
| 6 |
|
|---|
| 7 | #include <boost/graph/adjacency_list.hpp>
|
|---|
| 8 | #include <boost/graph/visitors.hpp>
|
|---|
| 9 | #include <boost/graph/graph_utility.hpp>
|
|---|
| 10 |
|
|---|
| 11 | /**
|
|---|
| 12 | * Singleton design pattern is used to
|
|---|
| 13 | * to make an instance of a particular class unique.
|
|---|
| 14 | */
|
|---|
| 15 | template< typename X > class Singleton
|
|---|
| 16 | {
|
|---|
| 17 | public:
|
|---|
| 18 | inline static X& getInstance()
|
|---|
| 19 | {
|
|---|
| 20 | static X x;
|
|---|
| 21 |
|
|---|
| 22 | return x;
|
|---|
| 23 | }
|
|---|
| 24 |
|
|---|
| 25 | protected:
|
|---|
| 26 | Singleton( void ) { }
|
|---|
| 27 | ~Singleton( void ) { }
|
|---|
| 28 | Singleton( const Singleton& ) { }
|
|---|
| 29 | inline Singleton& operator = ( const Singleton& x )
|
|---|
| 30 | {
|
|---|
| 31 | return x;
|
|---|
| 32 | }
|
|---|
| 33 | };
|
|---|
| 34 |
|
|---|
| 35 |
|
|---|
| 36 | /***
|
|---|
| 37 | * @desc
|
|---|
| 38 | * PathRecorder class is a template for creating
|
|---|
| 39 | * path recorders which utilise visitor concepts
|
|---|
| 40 | * in BGL. I.e. as a search algorithm runs,
|
|---|
| 41 | * PathRecorder is called to fill in a "predecessor map"
|
|---|
| 42 | * which records how to get to a specific vertex and stores
|
|---|
| 43 | * edges with their targets as keys.
|
|---|
| 44 | ***/
|
|---|
| 45 | template< class Graph, class Vertex, class Edge, class VertexIterator, class EdgeIterator > class PathRecorder
|
|---|
| 46 | {
|
|---|
| 47 | typedef typename boost::property_map< typename Graph, boost::vertex_index_t >::type VertexId_PMap;
|
|---|
| 48 | typedef boost::iterator_property_map< typename std::vector< Vertex >::iterator, VertexId_PMap, typename Vertex, typename Vertex & > PredMap;
|
|---|
| 49 | typedef boost::iterator_property_map< typename std::vector< Edge >::iterator, VertexId_PMap, typename Edge, typename Edge & > PredEdgeMap;
|
|---|
| 50 |
|
|---|
| 51 | public:
|
|---|
| 52 | /**
|
|---|
| 53 | * @desc
|
|---|
| 54 | * Update an entry inside a map
|
|---|
| 55 | **/
|
|---|
| 56 | void put( Vertex target, Vertex src )
|
|---|
| 57 | {
|
|---|
| 58 | boost::put( predMap, target, src );
|
|---|
| 59 | }
|
|---|
| 60 |
|
|---|
| 61 | /**
|
|---|
| 62 | * @desc
|
|---|
| 63 | * Update an entry inside a map
|
|---|
| 64 | **/
|
|---|
| 65 | void put( Vertex target, Edge e )
|
|---|
| 66 | {
|
|---|
| 67 | boost::put( predEdgeMap, target, e );
|
|---|
| 68 | }
|
|---|
| 69 |
|
|---|
| 70 | /**
|
|---|
| 71 | * @desc
|
|---|
| 72 | * Get predecessor (ancestor) of target
|
|---|
| 73 | **/
|
|---|
| 74 | Vertex getPredecessor( Vertex target ) const
|
|---|
| 75 | {
|
|---|
| 76 | return boost::get( predMap, target );
|
|---|
| 77 | }
|
|---|
| 78 |
|
|---|
| 79 | /**
|
|---|
| 80 | * @desc
|
|---|
| 81 | * Get Edge to target
|
|---|
| 82 | **/
|
|---|
| 83 | Edge getEdge( Vertex target ) const
|
|---|
| 84 | {
|
|---|
| 85 | return boost::get( predEdgeMap, target );
|
|---|
| 86 | }
|
|---|
| 87 |
|
|---|
| 88 | /**
|
|---|
| 89 | * @desc
|
|---|
| 90 | * Get edge from ancestor to sibling (if such edge exists)
|
|---|
| 91 | **/
|
|---|
| 92 | Edge PathRecorder :: getEdgeToSibling( Vertex ancestor ) const
|
|---|
| 93 | {
|
|---|
| 94 | VertexIterator i, end;
|
|---|
| 95 |
|
|---|
| 96 | for( boost::tie( i, end ) = boost::vertices( g ); i != end; ++i )
|
|---|
| 97 | {
|
|---|
| 98 | Vertex pred = boost::get( predMap, *i );
|
|---|
| 99 |
|
|---|
| 100 | if( pred == ancestor )
|
|---|
| 101 | {
|
|---|
| 102 | return boost::get( predEdgeMap, *i );
|
|---|
| 103 | }
|
|---|
| 104 | }
|
|---|
| 105 |
|
|---|
| 106 | return Edge();
|
|---|
| 107 | }
|
|---|
| 108 |
|
|---|
| 109 | /***
|
|---|
| 110 | * @desc reset path recorder for
|
|---|
| 111 | * another search
|
|---|
| 112 | ***/
|
|---|
| 113 | virtual void reset( void )
|
|---|
| 114 | {
|
|---|
| 115 | edges.assign( edges.size(), Edge() );
|
|---|
| 116 | vertices.assign( vertices.size(), Vertex() );
|
|---|
| 117 | }
|
|---|
| 118 | protected:
|
|---|
| 119 | PathRecorder( const Graph &graph ) : g( graph ),
|
|---|
| 120 | vertices( std::vector< Vertex >( boost::num_vertices( g ) ) ),
|
|---|
| 121 | edges( std::vector< Edge >( boost::num_vertices( g ) ) ),
|
|---|
| 122 | vertex_id( boost::get( boost::vertex_index, g ) ),
|
|---|
| 123 | predMap( vertices.begin(), vertex_id ),
|
|---|
| 124 | predEdgeMap( edges.begin(), vertex_id )
|
|---|
| 125 | {
|
|---|
| 126 | }
|
|---|
| 127 |
|
|---|
| 128 | const Graph g;
|
|---|
| 129 |
|
|---|
| 130 | ~PathRecorder( void ) { }
|
|---|
| 131 | PathRecorder( const PathRecorder & ) { }
|
|---|
| 132 |
|
|---|
| 133 | std::vector< Vertex > vertices;
|
|---|
| 134 | std::vector< Edge > edges;
|
|---|
| 135 | VertexId_PMap vertex_id;
|
|---|
| 136 |
|
|---|
| 137 | PredMap predMap;
|
|---|
| 138 | PredEdgeMap predEdgeMap;
|
|---|
| 139 | };
|
|---|
| 140 |
|
|---|
| 141 | /**
|
|---|
| 142 | * @desc
|
|---|
| 143 | * Terminator is a class which simply tells DFS
|
|---|
| 144 | * to stop once the target vertex is reached.
|
|---|
| 145 | **/
|
|---|
| 146 | template< class Vertex, class Graph > struct Terminator
|
|---|
| 147 | {
|
|---|
| 148 | Terminator( Vertex v ) : destination( v )
|
|---|
| 149 | {
|
|---|
| 150 | }
|
|---|
| 151 |
|
|---|
| 152 | bool operator()( Vertex v, const Graph &g )
|
|---|
| 153 | {
|
|---|
| 154 | return ( v == destination );
|
|---|
| 155 | }
|
|---|
| 156 |
|
|---|
| 157 | private:
|
|---|
| 158 | const Vertex destination;
|
|---|
| 159 | };
|
|---|
| 160 |
|
|---|
| 161 | /***
|
|---|
| 162 | * Vertex Structure (bundled properties)
|
|---|
| 163 | * This is empty, but in original src code
|
|---|
| 164 | * this has some data inside.
|
|---|
| 165 | ***/
|
|---|
| 166 | struct Clip_t
|
|---|
| 167 | {
|
|---|
| 168 | Clip_t( void ) { }
|
|---|
| 169 | };
|
|---|
| 170 |
|
|---|
| 171 | /***
|
|---|
| 172 | * Edge Structure (bundled properties)
|
|---|
| 173 | * This is empty, but in original src code
|
|---|
| 174 | * this has some data inside.
|
|---|
| 175 | ***/
|
|---|
| 176 | struct Transition_t
|
|---|
| 177 | {
|
|---|
| 178 | Transition_t( void ) { }
|
|---|
| 179 |
|
|---|
| 180 | Transition_t( double d ) : distance( d )
|
|---|
| 181 | {
|
|---|
| 182 | }
|
|---|
| 183 |
|
|---|
| 184 | double distance;
|
|---|
| 185 | };
|
|---|
| 186 |
|
|---|
| 187 | /***
|
|---|
| 188 | * Type defines for our graph ( Called MotionGraph )
|
|---|
| 189 | ***/
|
|---|
| 190 | typedef boost::adjacency_list< boost::listS, boost::vecS, boost::bidirectionalS, Clip_t, Transition_t > MotionGraph_t;
|
|---|
| 191 | typedef boost::graph_traits< MotionGraph_t >::vertex_iterator ClipIterator;
|
|---|
| 192 | typedef boost::graph_traits< MotionGraph_t >::vertex_descriptor Clip;
|
|---|
| 193 | typedef boost::graph_traits< MotionGraph_t >::out_edge_iterator TransitionIterator;
|
|---|
| 194 | typedef boost::graph_traits< MotionGraph_t >::edge_descriptor Transition;
|
|---|
| 195 |
|
|---|
| 196 | /***
|
|---|
| 197 | * Singleton graph structure so we can access it anywhere we like
|
|---|
| 198 | * getBase is a way of passing the graph to BGL algorithm templates
|
|---|
| 199 | * if you pass this class directly templates will not compile due
|
|---|
| 200 | * to constructors and destructors being protected.
|
|---|
| 201 | ***/
|
|---|
| 202 | class MotionGraph : public Singleton< MotionGraph >, public MotionGraph_t
|
|---|
| 203 | {
|
|---|
| 204 | friend Singleton< MotionGraph >;
|
|---|
| 205 | public:
|
|---|
| 206 | MotionGraph_t *getBase( void )
|
|---|
| 207 | {
|
|---|
| 208 | return static_cast< MotionGraph_t * >( &getInstance() );
|
|---|
| 209 | }
|
|---|
| 210 | protected:
|
|---|
| 211 | ~MotionGraph() { }
|
|---|
| 212 | MotionGraph() { }
|
|---|
| 213 | MotionGraph( const MotionGraph & ) { }
|
|---|
| 214 |
|
|---|
| 215 | };
|
|---|
| 216 |
|
|---|
| 217 | /**
|
|---|
| 218 | @desc
|
|---|
| 219 | ForwardEdge is a visitor which tries to decide whether
|
|---|
| 220 | to replace a newly discovered edge with the edge inside
|
|---|
| 221 | a DFS tree (predecessor map).
|
|---|
| 222 | Forward Edge is an edge (U,V) and both U, V have already
|
|---|
| 223 | been discovered by DFS.
|
|---|
| 224 | **/
|
|---|
| 225 | struct TestForwardEdge : public boost::base_visitor< TestForwardEdge >
|
|---|
| 226 | {
|
|---|
| 227 | typedef boost::on_forward_or_cross_edge event_filter;
|
|---|
| 228 |
|
|---|
| 229 | template < class Edge, class Graph > void operator()( Edge e, const Graph &g );
|
|---|
| 230 | };
|
|---|
| 231 |
|
|---|
| 232 | /**
|
|---|
| 233 | @desc
|
|---|
| 234 | PredRecorder adds a tree edge to predecessor map.
|
|---|
| 235 | Tree edge is the first edge for pair of vertices
|
|---|
| 236 | (U, V) that was ever discovered.
|
|---|
| 237 | **/
|
|---|
| 238 | struct TestPredRecorder : public boost::base_visitor< TestPredRecorder >
|
|---|
| 239 | {
|
|---|
| 240 | typedef boost::on_tree_edge event_filter;
|
|---|
| 241 |
|
|---|
| 242 | template < class Edge, class Graph > void operator()( Edge e, const Graph& g );
|
|---|
| 243 | };
|
|---|
| 244 |
|
|---|
| 245 | /***
|
|---|
| 246 | * Quick test implementation of PathRecorder interface.
|
|---|
| 247 | ***/
|
|---|
| 248 | class TestPathRecorder : public PathRecorder< MotionGraph_t, Clip, Transition, ClipIterator, TransitionIterator >, public Singleton< TestPathRecorder >
|
|---|
| 249 | {
|
|---|
| 250 | friend class Singleton< TestPathRecorder >;
|
|---|
| 251 | public:
|
|---|
| 252 | template< typename Container > void search( Container &agenda, Clip start, Clip end )
|
|---|
| 253 | {
|
|---|
| 254 | std::vector< unsigned short > c( boost::num_vertices( g ) );
|
|---|
| 255 |
|
|---|
| 256 | reset();
|
|---|
| 257 |
|
|---|
| 258 | typedef boost::property_map< MotionGraph_t, boost::vertex_index_t >::type VertexId_PMap;
|
|---|
| 259 | VertexId_PMap vertex_id = boost::get( boost::vertex_index, g );
|
|---|
| 260 | typedef boost::iterator_property_map< std::vector< unsigned short >::iterator, VertexId_PMap, unsigned short, unsigned short & > ColourMap;
|
|---|
| 261 |
|
|---|
| 262 | boost::depth_first_visit(
|
|---|
| 263 | g,
|
|---|
| 264 | start,
|
|---|
| 265 | boost::make_dfs_visitor( boost::make_list( TestPredRecorder(), TestForwardEdge() ) ),
|
|---|
| 266 | ColourMap( c.begin(), vertex_id ),
|
|---|
| 267 | Terminator< Clip, MotionGraph_t >( end )
|
|---|
| 268 | );
|
|---|
| 269 |
|
|---|
| 270 | getPath( agenda, start, end );
|
|---|
| 271 | }
|
|---|
| 272 |
|
|---|
| 273 | template< typename Container > void getPath( Container &agenda, Clip start, Clip end ) const
|
|---|
| 274 | {
|
|---|
| 275 | Transition cur = boost::get( predEdgeMap, end );
|
|---|
| 276 |
|
|---|
| 277 | while( cur.m_eproperty )
|
|---|
| 278 | {
|
|---|
| 279 | agenda.push_front( boost::target( cur, g ) );
|
|---|
| 280 | agenda.push_front( boost::source( cur, g ) );
|
|---|
| 281 |
|
|---|
| 282 | cur = boost::get( predEdgeMap, boost::source( cur, g ) );
|
|---|
| 283 | }
|
|---|
| 284 |
|
|---|
| 285 | if( agenda.empty() || agenda.front() != start )
|
|---|
| 286 | {
|
|---|
| 287 | agenda.clear();
|
|---|
| 288 | }
|
|---|
| 289 | }
|
|---|
| 290 |
|
|---|
| 291 | protected:
|
|---|
| 292 | TestPathRecorder( void ) : PathRecorder( *MotionGraph::getInstance().getBase() ) { }
|
|---|
| 293 | ~TestPathRecorder( void ) { }
|
|---|
| 294 | TestPathRecorder( const TestPathRecorder &mpr ) : PathRecorder( mpr.g ) { }
|
|---|
| 295 | };
|
|---|
| 296 |
|
|---|
| 297 | /**** Definitions of methods for visitor classes declared before TestPathRecorder ****/
|
|---|
| 298 |
|
|---|
| 299 | template < class Edge, class Graph > void TestPredRecorder :: operator()( Edge e, const Graph &g )
|
|---|
| 300 | {
|
|---|
| 301 | // simplified method, simply overwrite
|
|---|
| 302 | TestPathRecorder::getInstance().put( boost::target( e, g ), boost::source( e, g ) );
|
|---|
| 303 | TestPathRecorder::getInstance().put( boost::target( e, g ), e );
|
|---|
| 304 | }
|
|---|
| 305 |
|
|---|
| 306 | template < class Edge, class Graph > void TestForwardEdge :: operator()( Edge e, const Graph &g )
|
|---|
| 307 | {
|
|---|
| 308 | // simplified method, simply overwrite
|
|---|
| 309 | TestPathRecorder::getInstance().put( boost::target( e, g ), boost::source( e, g ) );
|
|---|
| 310 | TestPathRecorder::getInstance().put( boost::target( e, g ), e );
|
|---|
| 311 | }
|
|---|
| 312 |
|
|---|
| 313 | /******************************/
|
|---|
| 314 |
|
|---|
| 315 | /*** Roll N-sided die ***/
|
|---|
| 316 | int roll( int sides )
|
|---|
| 317 | {
|
|---|
| 318 | return rand() % sides;
|
|---|
| 319 | }
|
|---|
| 320 |
|
|---|
| 321 | /*** Roll N-sided die so that result is different to prev ***/
|
|---|
| 322 | int rollUnique( int sides, int prev )
|
|---|
| 323 | {
|
|---|
| 324 | int r = roll( sides );
|
|---|
| 325 |
|
|---|
| 326 | while( r == prev )
|
|---|
| 327 | {
|
|---|
| 328 | r = roll( sides );
|
|---|
| 329 | }
|
|---|
| 330 |
|
|---|
| 331 | return r;
|
|---|
| 332 | }
|
|---|
| 333 |
|
|---|
| 334 | /*** Choose a random src and target and attempt to find a path ***/
|
|---|
| 335 | void randomTest( void )
|
|---|
| 336 | {
|
|---|
| 337 | std::deque< Clip > mg;
|
|---|
| 338 |
|
|---|
| 339 | int start = rand() % boost::num_vertices( MotionGraph::getInstance() );
|
|---|
| 340 | int end = rand() % boost::num_vertices( MotionGraph::getInstance() );
|
|---|
| 341 |
|
|---|
| 342 | TestPathRecorder::getInstance().search( mg, start, end );
|
|---|
| 343 |
|
|---|
| 344 | if( mg.empty() )
|
|---|
| 345 | {
|
|---|
| 346 | std::cout << "Destination unreachable" << std::endl;
|
|---|
| 347 | return;
|
|---|
| 348 | }
|
|---|
| 349 |
|
|---|
| 350 | std::cout << "Path from " << start << " to " << end << ":" << std::endl;
|
|---|
| 351 |
|
|---|
| 352 | for( int i = 0; i < mg.size(); ++i )
|
|---|
| 353 | {
|
|---|
| 354 | std::cout << mg.at( i ) << ( i != mg.size() - 1 ? " -> " : "\n" );
|
|---|
| 355 | }
|
|---|
| 356 | }
|
|---|
| 357 |
|
|---|
| 358 | int main( void )
|
|---|
| 359 | {
|
|---|
| 360 | srand( time( NULL ) );
|
|---|
| 361 |
|
|---|
| 362 | // randomly choose number of vertices
|
|---|
| 363 | int vertices = roll( 500 );
|
|---|
| 364 |
|
|---|
| 365 | // add vertices
|
|---|
| 366 | for( int i = 0; i < vertices; ++i )
|
|---|
| 367 | {
|
|---|
| 368 | boost::add_vertex( Clip_t(), MotionGraph::getInstance() );
|
|---|
| 369 | }
|
|---|
| 370 |
|
|---|
| 371 | // for each vertex V choose a random number of edges and connect them to random vertices (excluding the V itself)
|
|---|
| 372 | for( int i = 0; i < vertices; ++i )
|
|---|
| 373 | {
|
|---|
| 374 | int edges = roll( vertices - 1 );
|
|---|
| 375 |
|
|---|
| 376 | for( int j = 0; j < edges; j++ )
|
|---|
| 377 | {
|
|---|
| 378 | int target = rollUnique( vertices, i );
|
|---|
| 379 |
|
|---|
| 380 | boost::add_edge( i, target, Transition_t(), MotionGraph::getInstance() );
|
|---|
| 381 | }
|
|---|
| 382 | }
|
|---|
| 383 |
|
|---|
| 384 | // run a random path finding test for half the number of vertices
|
|---|
| 385 | for( int i = 0; i < vertices / 2; i++ )
|
|---|
| 386 | {
|
|---|
| 387 | randomTest();
|
|---|
| 388 | }
|
|---|
| 389 |
|
|---|
| 390 | return 0;
|
|---|
| 391 | }
|
|---|
| 392 |
|
|---|