0
2
0
| ... | ... |
@@ -139,96 +139,97 @@ |
| 139 | 139 |
} |
| 140 | 140 |
} else {
|
| 141 | 141 |
if (u._id - v._id == _width) |
| 142 | 142 |
return Edge(v._id); |
| 143 | 143 |
if (u._id - v._id == 1 && v._id % _width < _width - 1) {
|
| 144 | 144 |
return Edge(v._id / _width * (_width - 1) + |
| 145 | 145 |
v._id % _width + _edge_limit); |
| 146 | 146 |
} |
| 147 | 147 |
} |
| 148 | 148 |
return INVALID; |
| 149 | 149 |
} |
| 150 | 150 |
|
| 151 | 151 |
Arc findArc(Node u, Node v, Arc prev = INVALID) const {
|
| 152 | 152 |
if (prev != INVALID) return INVALID; |
| 153 | 153 |
if (v._id > u._id) {
|
| 154 | 154 |
if (v._id - u._id == _width) |
| 155 | 155 |
return Arc((u._id << 1) | 1); |
| 156 | 156 |
if (v._id - u._id == 1 && u._id % _width < _width - 1) {
|
| 157 | 157 |
return Arc(((u._id / _width * (_width - 1) + |
| 158 | 158 |
u._id % _width + _edge_limit) << 1) | 1); |
| 159 | 159 |
} |
| 160 | 160 |
} else {
|
| 161 | 161 |
if (u._id - v._id == _width) |
| 162 | 162 |
return Arc(v._id << 1); |
| 163 | 163 |
if (u._id - v._id == 1 && v._id % _width < _width - 1) {
|
| 164 | 164 |
return Arc((v._id / _width * (_width - 1) + |
| 165 | 165 |
v._id % _width + _edge_limit) << 1); |
| 166 | 166 |
} |
| 167 | 167 |
} |
| 168 | 168 |
return INVALID; |
| 169 | 169 |
} |
| 170 | 170 |
|
| 171 | 171 |
class Node {
|
| 172 | 172 |
friend class GridGraphBase; |
| 173 | 173 |
|
| 174 | 174 |
protected: |
| 175 | 175 |
int _id; |
| 176 | 176 |
Node(int id) : _id(id) {}
|
| 177 | 177 |
public: |
| 178 | 178 |
Node() {}
|
| 179 | 179 |
Node (Invalid) : _id(-1) {}
|
| 180 | 180 |
bool operator==(const Node node) const {return _id == node._id;}
|
| 181 | 181 |
bool operator!=(const Node node) const {return _id != node._id;}
|
| 182 | 182 |
bool operator<(const Node node) const {return _id < node._id;}
|
| 183 | 183 |
}; |
| 184 | 184 |
|
| 185 | 185 |
class Edge {
|
| 186 | 186 |
friend class GridGraphBase; |
| 187 |
friend class Arc; |
|
| 187 | 188 |
|
| 188 | 189 |
protected: |
| 189 | 190 |
int _id; |
| 190 | 191 |
|
| 191 | 192 |
Edge(int id) : _id(id) {}
|
| 192 | 193 |
|
| 193 | 194 |
public: |
| 194 | 195 |
Edge() {}
|
| 195 | 196 |
Edge (Invalid) : _id(-1) {}
|
| 196 | 197 |
bool operator==(const Edge edge) const {return _id == edge._id;}
|
| 197 | 198 |
bool operator!=(const Edge edge) const {return _id != edge._id;}
|
| 198 | 199 |
bool operator<(const Edge edge) const {return _id < edge._id;}
|
| 199 | 200 |
}; |
| 200 | 201 |
|
| 201 | 202 |
class Arc {
|
| 202 | 203 |
friend class GridGraphBase; |
| 203 | 204 |
|
| 204 | 205 |
protected: |
| 205 | 206 |
int _id; |
| 206 | 207 |
|
| 207 | 208 |
Arc(int id) : _id(id) {}
|
| 208 | 209 |
|
| 209 | 210 |
public: |
| 210 | 211 |
Arc() {}
|
| 211 | 212 |
Arc (Invalid) : _id(-1) {}
|
| 212 | 213 |
operator Edge() const { return _id != -1 ? Edge(_id >> 1) : INVALID; }
|
| 213 | 214 |
bool operator==(const Arc arc) const {return _id == arc._id;}
|
| 214 | 215 |
bool operator!=(const Arc arc) const {return _id != arc._id;}
|
| 215 | 216 |
bool operator<(const Arc arc) const {return _id < arc._id;}
|
| 216 | 217 |
}; |
| 217 | 218 |
|
| 218 | 219 |
static bool direction(Arc arc) {
|
| 219 | 220 |
return (arc._id & 1) == 1; |
| 220 | 221 |
} |
| 221 | 222 |
|
| 222 | 223 |
static Arc direct(Edge edge, bool dir) {
|
| 223 | 224 |
return Arc((edge._id << 1) | (dir ? 1 : 0)); |
| 224 | 225 |
} |
| 225 | 226 |
|
| 226 | 227 |
void first(Node& node) const {
|
| 227 | 228 |
node._id = _node_num - 1; |
| 228 | 229 |
} |
| 229 | 230 |
|
| 230 | 231 |
static void next(Node& node) {
|
| 231 | 232 |
--node._id; |
| 232 | 233 |
} |
| 233 | 234 |
|
| 234 | 235 |
void first(Edge& edge) const {
|
| ... | ... |
@@ -427,121 +428,121 @@ |
| 427 | 428 |
} else {
|
| 428 | 429 |
return INVALID; |
| 429 | 430 |
} |
| 430 | 431 |
} |
| 431 | 432 |
|
| 432 | 433 |
Arc left(Node n) const {
|
| 433 | 434 |
if (n._id % _width > 0) {
|
| 434 | 435 |
return Arc((_edge_limit + n._id % _width + |
| 435 | 436 |
(n._id / _width) * (_width - 1) - 1) << 1); |
| 436 | 437 |
} else {
|
| 437 | 438 |
return INVALID; |
| 438 | 439 |
} |
| 439 | 440 |
} |
| 440 | 441 |
|
| 441 | 442 |
Arc up(Node n) const {
|
| 442 | 443 |
if (n._id < _edge_limit) {
|
| 443 | 444 |
return Arc((n._id << 1) | 1); |
| 444 | 445 |
} else {
|
| 445 | 446 |
return INVALID; |
| 446 | 447 |
} |
| 447 | 448 |
} |
| 448 | 449 |
|
| 449 | 450 |
Arc down(Node n) const {
|
| 450 | 451 |
if (n._id >= _width) {
|
| 451 | 452 |
return Arc((n._id - _width) << 1); |
| 452 | 453 |
} else {
|
| 453 | 454 |
return INVALID; |
| 454 | 455 |
} |
| 455 | 456 |
} |
| 456 | 457 |
|
| 457 | 458 |
private: |
| 458 | 459 |
int _width, _height; |
| 459 | 460 |
int _node_num, _edge_num; |
| 460 | 461 |
int _edge_limit; |
| 461 | 462 |
}; |
| 462 | 463 |
|
| 463 | 464 |
|
| 464 | 465 |
typedef GraphExtender<GridGraphBase> ExtendedGridGraphBase; |
| 465 | 466 |
|
| 466 | 467 |
/// \ingroup graphs |
| 467 | 468 |
/// |
| 468 | 469 |
/// \brief Grid graph class |
| 469 | 470 |
/// |
| 470 | 471 |
/// This class implements a special graph type. The nodes of the |
| 471 | 472 |
/// graph can be indexed by two integer \c (i,j) value where \c i is |
| 472 | 473 |
/// in the \c [0..width()-1] range and j is in the \c |
| 473 | 474 |
/// [0..height()-1] range. Two nodes are connected in the graph if |
| 474 | 475 |
/// the indexes differ exactly on one position and exactly one is |
| 475 |
/// the difference. The nodes of the graph be indexed by position |
|
| 476 |
/// with \c operator()() function. The positions of the nodes can be |
|
| 476 |
/// the difference. The nodes of the graph can be indexed by position |
|
| 477 |
/// with the \c operator()() function. The positions of the nodes can be |
|
| 477 | 478 |
/// get with \c pos(), \c col() and \c row() members. The outgoing |
| 478 | 479 |
/// arcs can be retrieved with the \c right(), \c up(), \c left() |
| 479 | 480 |
/// and \c down() functions, where the bottom-left corner is the |
| 480 | 481 |
/// origin. |
| 481 | 482 |
/// |
| 482 | 483 |
/// \image html grid_graph.png |
| 483 |
/// \image latex grid_graph.eps "Grid |
|
| 484 |
/// \image latex grid_graph.eps "Grid graph" row_num=\textrow_num |
|
| 484 | 485 |
/// |
| 485 | 486 |
/// A short example about the basic usage: |
| 486 | 487 |
///\code |
| 487 | 488 |
/// GridGraph graph(rows, cols); |
| 488 | 489 |
/// GridGraph::NodeMap<int> val(graph); |
| 489 | 490 |
/// for (int i = 0; i < graph.width(); ++i) {
|
| 490 | 491 |
/// for (int j = 0; j < graph.height(); ++j) {
|
| 491 | 492 |
/// val[graph(i, j)] = i + j; |
| 492 | 493 |
/// } |
| 493 | 494 |
/// } |
| 494 | 495 |
///\endcode |
| 495 | 496 |
/// |
| 496 |
/// |
|
| 497 |
/// This graph type is fully conform to the \ref concepts::Graph |
|
| 497 | 498 |
/// "Graph" concept, and it also has an important extra feature |
| 498 |
/// that its maps are real \ref concepts::ReferenceMap "reference |
|
| 499 |
/// map"s. |
|
| 499 |
/// that its maps are real \ref concepts::ReferenceMap |
|
| 500 |
/// "reference map"s. |
|
| 500 | 501 |
class GridGraph : public ExtendedGridGraphBase {
|
| 501 | 502 |
public: |
| 502 | 503 |
|
| 503 | 504 |
typedef ExtendedGridGraphBase Parent; |
| 504 | 505 |
|
| 505 | 506 |
/// \brief Map to get the indices of the nodes as dim2::Point<int>. |
| 506 | 507 |
/// |
| 507 | 508 |
/// Map to get the indices of the nodes as dim2::Point<int>. |
| 508 | 509 |
class IndexMap {
|
| 509 | 510 |
public: |
| 510 | 511 |
/// \brief The key type of the map |
| 511 | 512 |
typedef GridGraph::Node Key; |
| 512 | 513 |
/// \brief The value type of the map |
| 513 | 514 |
typedef dim2::Point<int> Value; |
| 514 | 515 |
|
| 515 | 516 |
/// \brief Constructor |
| 516 | 517 |
/// |
| 517 | 518 |
/// Constructor |
| 518 | 519 |
IndexMap(const GridGraph& graph) : _graph(graph) {}
|
| 519 | 520 |
|
| 520 | 521 |
/// \brief The subscript operator |
| 521 | 522 |
/// |
| 522 | 523 |
/// The subscript operator. |
| 523 | 524 |
Value operator[](Key key) const {
|
| 524 | 525 |
return _graph.pos(key); |
| 525 | 526 |
} |
| 526 | 527 |
|
| 527 | 528 |
private: |
| 528 | 529 |
const GridGraph& _graph; |
| 529 | 530 |
}; |
| 530 | 531 |
|
| 531 | 532 |
/// \brief Map to get the column of the nodes. |
| 532 | 533 |
/// |
| 533 | 534 |
/// Map to get the column of the nodes. |
| 534 | 535 |
class ColMap {
|
| 535 | 536 |
public: |
| 536 | 537 |
/// \brief The key type of the map |
| 537 | 538 |
typedef GridGraph::Node Key; |
| 538 | 539 |
/// \brief The value type of the map |
| 539 | 540 |
typedef int Value; |
| 540 | 541 |
|
| 541 | 542 |
/// \brief Constructor |
| 542 | 543 |
/// |
| 543 | 544 |
/// Constructor |
| 544 | 545 |
ColMap(const GridGraph& graph) : _graph(graph) {}
|
| 545 | 546 |
|
| 546 | 547 |
/// \brief The subscript operator |
| 547 | 548 |
/// |
| ... | ... |
@@ -147,98 +147,98 @@ |
| 147 | 147 |
e1 = g.addEdge(n1, n2), |
| 148 | 148 |
e2 = g.addEdge(n2, n3); |
| 149 | 149 |
|
| 150 | 150 |
check(g.valid(n1), "Wrong validity check"); |
| 151 | 151 |
check(g.valid(e1), "Wrong validity check"); |
| 152 | 152 |
check(g.valid(g.direct(e1, true)), "Wrong validity check"); |
| 153 | 153 |
|
| 154 | 154 |
check(!g.valid(g.nodeFromId(-1)), "Wrong validity check"); |
| 155 | 155 |
check(!g.valid(g.edgeFromId(-1)), "Wrong validity check"); |
| 156 | 156 |
check(!g.valid(g.arcFromId(-1)), "Wrong validity check"); |
| 157 | 157 |
} |
| 158 | 158 |
|
| 159 | 159 |
template <typename Graph> |
| 160 | 160 |
void checkGraphValidityErase() {
|
| 161 | 161 |
TEMPLATE_GRAPH_TYPEDEFS(Graph); |
| 162 | 162 |
Graph g; |
| 163 | 163 |
|
| 164 | 164 |
Node |
| 165 | 165 |
n1 = g.addNode(), |
| 166 | 166 |
n2 = g.addNode(), |
| 167 | 167 |
n3 = g.addNode(); |
| 168 | 168 |
|
| 169 | 169 |
Edge |
| 170 | 170 |
e1 = g.addEdge(n1, n2), |
| 171 | 171 |
e2 = g.addEdge(n2, n3); |
| 172 | 172 |
|
| 173 | 173 |
check(g.valid(n1), "Wrong validity check"); |
| 174 | 174 |
check(g.valid(e1), "Wrong validity check"); |
| 175 | 175 |
check(g.valid(g.direct(e1, true)), "Wrong validity check"); |
| 176 | 176 |
|
| 177 | 177 |
g.erase(n1); |
| 178 | 178 |
|
| 179 | 179 |
check(!g.valid(n1), "Wrong validity check"); |
| 180 | 180 |
check(g.valid(n2), "Wrong validity check"); |
| 181 | 181 |
check(g.valid(n3), "Wrong validity check"); |
| 182 | 182 |
check(!g.valid(e1), "Wrong validity check"); |
| 183 | 183 |
check(g.valid(e2), "Wrong validity check"); |
| 184 | 184 |
|
| 185 | 185 |
check(!g.valid(g.nodeFromId(-1)), "Wrong validity check"); |
| 186 | 186 |
check(!g.valid(g.edgeFromId(-1)), "Wrong validity check"); |
| 187 | 187 |
check(!g.valid(g.arcFromId(-1)), "Wrong validity check"); |
| 188 | 188 |
} |
| 189 | 189 |
|
| 190 | 190 |
void checkGridGraph(int width, int height) {
|
| 191 | 191 |
typedef GridGraph Graph; |
| 192 | 192 |
GRAPH_TYPEDEFS(Graph); |
| 193 | 193 |
Graph G(width, height); |
| 194 | 194 |
|
| 195 |
check(G.width() == width, "Wrong row number"); |
|
| 196 |
check(G.height() == height, "Wrong column number"); |
|
| 195 |
check(G.width() == width, "Wrong column number"); |
|
| 196 |
check(G.height() == height, "Wrong row number"); |
|
| 197 | 197 |
|
| 198 | 198 |
for (int i = 0; i < width; ++i) {
|
| 199 | 199 |
for (int j = 0; j < height; ++j) {
|
| 200 | 200 |
check(G.col(G(i, j)) == i, "Wrong column"); |
| 201 | 201 |
check(G.row(G(i, j)) == j, "Wrong row"); |
| 202 | 202 |
check(G.pos(G(i, j)).x == i, "Wrong column"); |
| 203 | 203 |
check(G.pos(G(i, j)).y == j, "Wrong row"); |
| 204 | 204 |
} |
| 205 | 205 |
} |
| 206 | 206 |
|
| 207 | 207 |
for (int j = 0; j < height; ++j) {
|
| 208 | 208 |
for (int i = 0; i < width - 1; ++i) {
|
| 209 | 209 |
check(G.source(G.right(G(i, j))) == G(i, j), "Wrong right"); |
| 210 | 210 |
check(G.target(G.right(G(i, j))) == G(i + 1, j), "Wrong right"); |
| 211 | 211 |
} |
| 212 | 212 |
check(G.right(G(width - 1, j)) == INVALID, "Wrong right"); |
| 213 | 213 |
} |
| 214 | 214 |
|
| 215 | 215 |
for (int j = 0; j < height; ++j) {
|
| 216 | 216 |
for (int i = 1; i < width; ++i) {
|
| 217 | 217 |
check(G.source(G.left(G(i, j))) == G(i, j), "Wrong left"); |
| 218 | 218 |
check(G.target(G.left(G(i, j))) == G(i - 1, j), "Wrong left"); |
| 219 | 219 |
} |
| 220 | 220 |
check(G.left(G(0, j)) == INVALID, "Wrong left"); |
| 221 | 221 |
} |
| 222 | 222 |
|
| 223 | 223 |
for (int i = 0; i < width; ++i) {
|
| 224 | 224 |
for (int j = 0; j < height - 1; ++j) {
|
| 225 | 225 |
check(G.source(G.up(G(i, j))) == G(i, j), "Wrong up"); |
| 226 | 226 |
check(G.target(G.up(G(i, j))) == G(i, j + 1), "Wrong up"); |
| 227 | 227 |
} |
| 228 | 228 |
check(G.up(G(i, height - 1)) == INVALID, "Wrong up"); |
| 229 | 229 |
} |
| 230 | 230 |
|
| 231 | 231 |
for (int i = 0; i < width; ++i) {
|
| 232 | 232 |
for (int j = 1; j < height; ++j) {
|
| 233 | 233 |
check(G.source(G.down(G(i, j))) == G(i, j), "Wrong down"); |
| 234 | 234 |
check(G.target(G.down(G(i, j))) == G(i, j - 1), "Wrong down"); |
| 235 | 235 |
} |
| 236 | 236 |
check(G.down(G(i, 0)) == INVALID, "Wrong down"); |
| 237 | 237 |
} |
| 238 | 238 |
|
| 239 | 239 |
checkGraphNodeList(G, width * height); |
| 240 | 240 |
checkGraphEdgeList(G, width * (height - 1) + (width - 1) * height); |
| 241 | 241 |
checkGraphArcList(G, 2 * (width * (height - 1) + (width - 1) * height)); |
| 242 | 242 |
|
| 243 | 243 |
for (NodeIt n(G); n != INVALID; ++n) {
|
| 244 | 244 |
int nb = 4; |
0 comments (0 inline)