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multi_gridgraph.hxx |

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35
36 #ifndef VIGRA_MULTI_GRIDGRAPH_HXX
37 #define VIGRA_MULTI_GRIDGRAPH_HXX
38
39 #include "multi_iterator.hxx"
40 #include "multi_array.hxx"
41 #include "graphs.hxx"
42
43 template <unsigned int N>
44 struct NeighborhoodTests;
45
46 namespace vigra {
47
48 /** \addtogroup GraphDataStructures Graph Data Structures
49
50 A GridGraph class implementing the APIs of the <a href="http://www.boost.org/doc/libs/release/libs/graph/">boost::graph</a> and
51 <a href="http://lemon.cs.elte.hu/">LEMON</a> libraries. See also
52 the \ref BoostGraphExtensions.
53 */
54 //@{
55
56 /*
57 undirected edge_descriptor derived from TinyVector,
58 including flag for original edge orientation,
59 as necessary for source(), target() functions;
60 This edge_descriptor allows to directly (without adapter object)
61 index a MultiArrayView with one dimension more than the gridgraph,
62 the last coordinate indexing the edge number
63 (missing edges at the border are just ignored)
64
65 The gridgraph class is able to convert/construct these edge_descriptors
66 and to reconstruct the corresponding source/target nodes.
67
68 FIXME: store edge index in (*this)[0] ??
69 */
70 template<unsigned int N>
71 class GridGraphArcDescriptor
72 : public MultiArrayShape<N+1>::type
73 {
74 public:
75 typedef typename MultiArrayShape<N+1>::type base_type;
76 typedef typename base_type::value_type value_type;
77 typedef base_type edge_coord_type;
78 typedef value_type index_type;
79 typedef typename MultiArrayShape<N>::type shape_type;
80 typedef TinyVectorView<value_type, N> vertex_descriptor_view;
81
82 GridGraphArcDescriptor()
83 : is_reversed_(false)
84 {}
85
86 GridGraphArcDescriptor(lemon::Invalid)
87 : base_type(-1),
88 is_reversed_(false)
89 {}
90
91 GridGraphArcDescriptor(base_type const & b, bool reversed)
92 : base_type(b),
93 is_reversed_(reversed)
94 {}
95
96 GridGraphArcDescriptor(shape_type const &vertex,
97 index_type edge_index,
98 bool reversed=false)
99 : base_type(detail::DontInit())
100 {
101 set(vertex, edge_index, reversed);
102 }
103
104 void set(shape_type const &vertex, index_type edge_index, bool reversed)
105 {
106 this->template subarray<0,N>() = vertex;
107 (*this)[N] = edge_index;
108 is_reversed_ = reversed;
109 }
110
111 void increment(GridGraphArcDescriptor const & diff, bool opposite=false)
112 {
113 if(diff.is_reversed_)
114 {
115 is_reversed_ = !opposite;
116 this->template subarray<0,N>() += diff.template subarray<0,N>();
117 }
118 else
119 {
120 is_reversed_ = opposite;
121 }
122 (*this)[N] = diff[N];
123 }
124
125 bool isReversed() const
126 {
127 return is_reversed_;
128 }
129
130 vertex_descriptor_view vertexDescriptor() const
131 {
132 return this->template subarray<0,N>();
133 }
134
135 value_type edgeIndex() const
136 {
137 return (*this)[N];
138 }
139
140 protected:
141 bool is_reversed_;
142 };
143
144 inline MultiArrayIndex
145 gridGraphMaxDegree(unsigned int N, NeighborhoodType t)
146 {
147 return t == DirectNeighborhood
148 ? 2*N
149 : pow(3.0, (int)N) - 1;
150 }
151
152 template <unsigned int N, NeighborhoodType>
153 struct GridGraphMaxDegree;
154
155 template <unsigned int N>
156 struct GridGraphMaxDegree<N, DirectNeighborhood>
157 {
158 static const MultiArrayIndex value = 2*N;
159 };
160
161 template <unsigned int N>
162 struct GridGraphMaxDegree<N, IndirectNeighborhood>
163 {
164 static const MultiArrayIndex value = MetaPow<3, N>::value - 1;
165 };
166
167 template <class Shape>
168 MultiArrayIndex
169 gridGraphEdgeCount(Shape const & shape, NeighborhoodType t, bool directed)
170 {
171 int res = 0;
172 if(t == DirectNeighborhood)
173 {
174 for(unsigned int k=0; k<shape.size(); ++k)
175 res += 2*prod(shape - Shape::unitVector(k));
176 }
177 else
178 {
179 res = prod(3*shape - Shape(2)) - prod(shape);
180 }
181 return directed
182 ? res
183 : res / 2;
184 }
185
186 namespace detail {
187
188 template <class Shape>
189 void
190 computeNeighborOffsets(ArrayVector<Shape> const & neighborOffsets,
191 ArrayVector<ArrayVector<bool> > const & neighborExists,
192 ArrayVector<ArrayVector<Shape> > & incrementOffsets,
193 ArrayVector<ArrayVector<GridGraphArcDescriptor<Shape::static_size> > > & edgeDescriptorOffsets,
194 ArrayVector<ArrayVector<MultiArrayIndex> > & indices,
195 ArrayVector<ArrayVector<MultiArrayIndex> > & backIndices,
196 bool directed)
197 {
198 typedef GridGraphArcDescriptor<Shape::static_size> EdgeDescriptor;
199
200 unsigned int borderTypeCount = neighborExists.size();
201 incrementOffsets.resize(borderTypeCount);
202 edgeDescriptorOffsets.resize(borderTypeCount);
203 indices.resize(borderTypeCount);
204 backIndices.resize(borderTypeCount);
205
206 for(unsigned int k=0; k<borderTypeCount; ++k)
207 {
208 incrementOffsets[k].clear();
209 edgeDescriptorOffsets[k].clear();
210 indices[k].clear();
211 backIndices[k].clear();
212
213 for(unsigned int j=0; j < neighborOffsets.size(); ++j)
214 {
215 if(neighborExists[k][j])
216 {
217 if(incrementOffsets[k].size() == 0)
218 {
219 incrementOffsets[k].push_back(neighborOffsets[j]);
220 }
221 else
222 {
223 incrementOffsets[k].push_back(neighborOffsets[j] - neighborOffsets[indices[k].back()]);
224 }
225
226 if(directed || j < neighborOffsets.size() / 2) // directed or backward edge
227 {
228 edgeDescriptorOffsets[k].push_back(EdgeDescriptor(Shape(), j));
229 }
230 else if(edgeDescriptorOffsets[k].size() == 0 || !edgeDescriptorOffsets[k].back().isReversed()) // the first forward edge
231 {
232 edgeDescriptorOffsets[k].push_back(EdgeDescriptor(neighborOffsets[j], neighborOffsets.size()-j-1, true));
233 }
234 else // second or higher forward edge
235 {
236 edgeDescriptorOffsets[k].push_back(EdgeDescriptor(neighborOffsets[j] - neighborOffsets[indices[k].back()],
237 neighborOffsets.size()-j-1, true));
238 }
239
240 indices[k].push_back(j);
241 if(j < neighborOffsets.size() / 2)
242 backIndices[k].push_back(j);
243 }
244 }
245 }
246 }
247
248 } // namespace detail
249
250 template<unsigned int N, bool BackEdgesOnly=false>
251 class GridGraphNeighborIterator
252 {
253 public:
254 typedef typename MultiArrayShape<N>::type shape_type;
255 typedef MultiCoordinateIterator<N> vertex_iterator;
256 typedef typename vertex_iterator::value_type vertex_descriptor;
257 typedef vertex_descriptor value_type;
258 typedef typename vertex_iterator::pointer pointer;
259 typedef typename vertex_iterator::const_pointer const_pointer;
260 typedef typename vertex_iterator::reference reference;
261 typedef typename vertex_iterator::const_reference const_reference;
262 typedef MultiArrayIndex difference_type;
263 typedef MultiArrayIndex index_type;
264 typedef std::forward_iterator_tag iterator_category;
265
266 friend struct NeighborhoodTests<N>;
267
268 GridGraphNeighborIterator()
269 : neighborOffsets_(0),
270 neighborIndices_(0),
271 index_(0)
272 {}
273
274 template <class DirectedTag>
275 GridGraphNeighborIterator(GridGraph<N, DirectedTag> const & g, typename GridGraph<N, DirectedTag>::Node const & v)
276 : neighborOffsets_(0),
277 neighborIndices_(0),
278 target_(v),
279 index_(0)
280 {
281 unsigned int nbtype = g.get_border_type(v);
282 neighborOffsets_ = &(*g.neighborIncrementArray())[nbtype];
283 neighborIndices_ = &(*g.neighborIndexArray(BackEdgesOnly))[nbtype];
284 updateTarget();
285 }
286
287 template <class DirectedTag>
288 GridGraphNeighborIterator(GridGraph<N, DirectedTag> const & g, typename GridGraph<N, DirectedTag>::NodeIt const & v)
289 : neighborOffsets_(0),
290 neighborIndices_(0),
291 target_(v),
292 index_(0)
293 {
294 unsigned int nbtype = g.get_border_type(v);
295 neighborOffsets_ = &(*g.neighborIncrementArray())[nbtype];
296 neighborIndices_ = &(*g.neighborIndexArray(BackEdgesOnly))[nbtype];
297 updateTarget();
298 }
299
300 // TODO: implement a "goto-neighbor" operation
301 // yielding a vertex_iterator! -> useful for
302 // watershed algo.
303
304 GridGraphNeighborIterator & operator++()
305 {
306 ++index_;
307 updateTarget();
308 return *this;
309 }
310
311 GridGraphNeighborIterator operator++(int)
312 {
313 GridGraphNeighborIterator ret(*this);
314 ++*this;
315 return ret;
316 }
317
318 const_reference operator*() const
319 {
320 return target_;
321 }
322
323 const_pointer operator->() const
324 {
325 return &target_;
326 }
327
328 operator const_reference() const
329 {
330 return target_;
331 }
332
333 const_reference target() const
334 {
335 return target_;
336 }
337
338 MultiArrayIndex index() const
339 {
340 return index_;
341 }
342
343 MultiArrayIndex neighborIndex() const
344 {
345 return (*neighborIndices_)[index_];
346 }
347
348 bool operator==(GridGraphNeighborIterator const & other) const
349 {
350 return index_ == other.index_;
351 }
352
353 bool operator!=(GridGraphNeighborIterator const & other) const
354 {
355 return index_ != other.index_;
356 }
357
358 bool isValid() const
359 {
360 return index_ < (MultiArrayIndex)neighborIndices_->size();
361 }
362
363 bool atEnd() const
364 {
365 return index_ >= (MultiArrayIndex)neighborIndices_->size();
366 }
367
368 GridGraphNeighborIterator getEndIterator() const
369 {
370 GridGraphNeighborIterator res(*this);
371 res.index_ = (MultiArrayIndex)neighborIndices_->size();
372 return res;
373 }
374
375 protected:
376
377 // for testing only
378 GridGraphNeighborIterator(ArrayVector<shape_type> const & neighborOffsets,
379 ArrayVector<index_type> const & neighborIndices,
380 ArrayVector<index_type> const & backIndices,
381 vertex_descriptor source)
382 : neighborOffsets_(&neighborOffsets),
383 neighborIndices_(BackEdgesOnly ? &backIndices : &neighborIndices),
384 target_(source),
385 index_(0)
386 {
387 updateTarget();
388 }
389
390 void updateTarget()
391 {
392 if(isValid())
393 target_ += (*neighborOffsets_)[index_];
394 }
395
396 ArrayVector<shape_type> const * neighborOffsets_;
397 ArrayVector<index_type> const * neighborIndices_;
398 vertex_descriptor target_;
399 MultiArrayIndex index_;
400 };
401
402 template<unsigned int N, bool BackEdgesOnly>
403 class GridGraphEdgeIterator;
404
405 template<unsigned int N, bool BackEdgesOnly=false>
406 class GridGraphOutEdgeIterator
407 {
408 public:
409 typedef typename MultiArrayShape<N>::type shape_type;
410 typedef MultiArrayIndex index_type;
411 typedef GridGraphArcDescriptor<N> arc_descriptor;
412 typedef typename MultiArrayShape<N+1>::type value_type;
413 typedef value_type const & reference;
414 typedef value_type const & const_reference;
415 typedef value_type const * pointer;
416 typedef value_type const * const_pointer;
417 typedef MultiArrayIndex difference_type;
418 typedef std::forward_iterator_tag iterator_category;
419
420 friend struct NeighborhoodTests<N>;
421 friend class GridGraphEdgeIterator<N, BackEdgesOnly>;
422
423 GridGraphOutEdgeIterator()
424 : neighborOffsets_(0),
425 neighborIndices_(0),
426 index_(0)
427 {}
428
429 template <class DirectedTag>
430 GridGraphOutEdgeIterator(GridGraph<N, DirectedTag> const & g,
431 typename GridGraph<N, DirectedTag>::NodeIt const & v,
432 bool opposite=false)
433 : neighborOffsets_(0),
434 neighborIndices_(0),
435 edge_descriptor_(),
436 index_(0)
437 {
438 unsigned int nbtype = g.get_border_type(v);
439 init(&(*g.edgeIncrementArray())[nbtype], &(*g.neighborIndexArray(BackEdgesOnly))[nbtype], *v, opposite);
440 }
441
442 template <class DirectedTag>
443 GridGraphOutEdgeIterator(GridGraph<N, DirectedTag> const & g,
444 typename GridGraph<N, DirectedTag>::Node const & v,
445 bool opposite=false)
446 : neighborOffsets_(0),
447 neighborIndices_(0),
448 edge_descriptor_(),
449 index_(0)
450 {
451 unsigned int nbtype = g.get_border_type(v);
452 init(&(*g.edgeIncrementArray())[nbtype], &(*g.neighborIndexArray(BackEdgesOnly))[nbtype], v, opposite);
453 }
454
455 GridGraphOutEdgeIterator & operator++()
456 {
457 increment(false);
458 return *this;
459 }
460
461 GridGraphOutEdgeIterator operator++(int)
462 {
463 GridGraphOutEdgeIterator ret(*this);
464 ++*this;
465 return ret;
466 }
467
468 const_reference operator*() const
469 {
470 return edge_descriptor_;
471 }
472
473 operator const_reference() const
474 {
475 return edge_descriptor_;
476 }
477
478 const_pointer operator->() const
479 {
480 return &edge_descriptor_;
481 }
482
483 index_type index() const
484 {
485 return index_;
486 }
487
488 index_type neighborIndex() const
489 {
490 return (*neighborIndices_)[index_];
491 }
492
493 arc_descriptor const & arcDescriptor() const
494 {
495 return edge_descriptor_;
496 }
497
498 bool operator==(GridGraphOutEdgeIterator const & other) const
499 {
500 return index_ == other.index();
501 }
502
503 bool operator!=(GridGraphOutEdgeIterator const & other) const
504 {
505 return index_ != other.index();
506 }
507
508 bool isValid() const
509 {
510 return index_ < (index_type)neighborIndices_->size();
511 }
512
513 bool atEnd() const
514 {
515 return index_ >= (index_type)neighborIndices_->size();
516 }
517
518 GridGraphOutEdgeIterator getEndIterator() const
519 {
520 GridGraphOutEdgeIterator res(*this);
521 res.index_ = (index_type)neighborIndices_->size();
522 return res;
523 }
524
525 protected:
526
527 // for testing only
528 GridGraphOutEdgeIterator(ArrayVector<arc_descriptor> const & neighborOffsets,
529 ArrayVector<index_type> const & neighborIndices,
530 ArrayVector<index_type> const & backIndices,
531 shape_type const & source)
532 : neighborOffsets_(0),
533 neighborIndices_(0),
534 edge_descriptor_(),
535 index_(0)
536 {
537 init(&neighborOffsets, BackEdgesOnly ? &backIndices : &neighborIndices, source);
538 }
539
540 void init(ArrayVector<arc_descriptor> const * neighborOffsets,
541 ArrayVector<index_type> const * neighborIndices,
542 shape_type const & source,
543 bool opposite=false)
544 {
545 neighborOffsets_ = neighborOffsets;
546 neighborIndices_ = neighborIndices;
547 edge_descriptor_ = arc_descriptor(source, 0);
548 index_ = 0;
549 updateEdgeDescriptor(opposite);
550 }
551
552 void increment(bool opposite)
553 {
554 ++index_;
555 updateEdgeDescriptor(opposite);
556 }
557
558 void updateEdgeDescriptor(bool opposite)
559 {
560 if(isValid())
561 edge_descriptor_.increment((*neighborOffsets_)[index_], opposite);
562 }
563
564 ArrayVector<arc_descriptor> const * neighborOffsets_;
565 ArrayVector<index_type> const * neighborIndices_;
566 arc_descriptor edge_descriptor_;
567 index_type index_;
568 };
569
570 template<unsigned int N, bool BackEdgesOnly=false>
571 class GridGraphOutArcIterator
572 : public GridGraphOutEdgeIterator<N, BackEdgesOnly>
573 {
574 public:
575 typedef GridGraphOutEdgeIterator<N, BackEdgesOnly> base_type;
576 typedef typename MultiArrayShape<N>::type shape_type;
577 typedef MultiArrayIndex index_type;
578 typedef GridGraphArcDescriptor<N> value_type;
579 typedef value_type const & reference;
580 typedef value_type const & const_reference;
581 typedef value_type const * pointer;
582 typedef value_type const * const_pointer;
583 typedef MultiArrayIndex difference_type;
584 typedef std::forward_iterator_tag iterator_category;
585
586 friend struct NeighborhoodTests<N>;
587 friend class GridGraphEdgeIterator<N, BackEdgesOnly>;
588
589 GridGraphOutArcIterator()
590 : base_type()
591 {}
592
593 explicit GridGraphOutArcIterator(base_type const & b)
594 : base_type(b)
595 {}
596
597 template <class DirectedTag>
598 GridGraphOutArcIterator(GridGraph<N, DirectedTag> const & g, typename GridGraph<N, DirectedTag>::NodeIt const & v)
599 : base_type(g, v)
600 {}
601
602 template <class DirectedTag>
603 GridGraphOutArcIterator(GridGraph<N, DirectedTag> const & g, typename GridGraph<N, DirectedTag>::Node const & v)
604 : base_type(g, v)
605 {}
606
607 GridGraphOutArcIterator & operator++()
608 {
609 base_type::operator++();
610 return *this;
611 }
612
613 GridGraphOutArcIterator operator++(int)
614 {
615 GridGraphOutArcIterator ret(*this);
616 ++*this;
617 return ret;
618 }
619
620 const_reference operator*() const
621 {
622 return this->edge_descriptor_;
623 }
624
625 operator const_reference() const
626 {
627 return this->edge_descriptor_;
628 }
629
630 const_pointer operator->() const
631 {
632 return &this->edge_descriptor_;
633 }
634
635 GridGraphOutArcIterator getEndIterator() const
636 {
637 return GridGraphOutArcIterator(base_type::getEndIterator());
638 }
639
640 protected:
641
642 // for testing only
643 GridGraphOutArcIterator(ArrayVector<value_type> const & neighborOffsets,
644 ArrayVector<index_type> const & neighborIndices,
645 ArrayVector<index_type> const & backIndices,
646 shape_type const & source)
647 : base_type(neighborOffsets, neighborIndices, backIndices, source)
648 {}
649 };
650
651 template<unsigned int N, bool BackEdgesOnly=false>
652 class GridGraphInArcIterator
653 : public GridGraphOutEdgeIterator<N, BackEdgesOnly>
654 {
655 public:
656 typedef GridGraphOutEdgeIterator<N, BackEdgesOnly> base_type;
657 typedef typename MultiArrayShape<N>::type shape_type;
658 typedef MultiArrayIndex index_type;
659 typedef GridGraphArcDescriptor<N> value_type;
660 typedef value_type const & reference;
661 typedef value_type const & const_reference;
662 typedef value_type const * pointer;
663 typedef value_type const * const_pointer;
664 typedef MultiArrayIndex difference_type;
665 typedef std::forward_iterator_tag iterator_category;
666
667 friend struct NeighborhoodTests<N>;
668
669 GridGraphInArcIterator()
670 : base_type()
671 {}
672
673 explicit GridGraphInArcIterator(base_type const & b)
674 : base_type(b)
675 {}
676
677 template <class DirectedTag>
678 GridGraphInArcIterator(GridGraph<N, DirectedTag> const & g, typename GridGraph<N, DirectedTag>::NodeIt const & v)
679 : base_type(g, v, true)
680 {}
681
682 template <class DirectedTag>
683 GridGraphInArcIterator(GridGraph<N, DirectedTag> const & g, typename GridGraph<N, DirectedTag>::Node const & v)
684 : base_type(g, v, true)
685 {}
686
687 GridGraphInArcIterator & operator++()
688 {
689 base_type::increment(true);
690 return *this;
691 }
692
693 GridGraphInArcIterator operator++(int)
694 {
695 GridGraphInArcIterator ret(*this);
696 ++*this;
697 return ret;
698 }
699
700 const_reference operator*() const
701 {
702 return this->edge_descriptor_;
703 }
704
705 operator const_reference() const
706 {
707 return this->edge_descriptor_;
708 }
709
710 const_pointer operator->() const
711 {
712 return &this->edge_descriptor_;
713 }
714
715 GridGraphInArcIterator getEndIterator() const
716 {
717 return GridGraphInArcIterator(base_type::getEndIterator());
718 }
719 };
720
721 // Edge iterator for directed and undirected graphs.
722 // Composed of a vertex_iterator and an out_edge_iterator.
723 template<unsigned int N, bool BackEdgesOnly>
724 class GridGraphEdgeIterator
725 {
726 public:
727 typedef GridGraphEdgeIterator<N, BackEdgesOnly> self_type;
728 typedef MultiCoordinateIterator<N> vertex_iterator;
729 typedef typename vertex_iterator::value_type vertex_descriptor;
730 typedef GridGraphOutArcIterator<N, BackEdgesOnly> out_edge_iterator;
731 typedef typename MultiArrayShape<N+1>::type edge_descriptor;
732 typedef edge_descriptor value_type;
733 typedef value_type const * pointer;
734 typedef value_type const * const_pointer;
735 typedef value_type const & reference;
736 typedef value_type const & const_reference;
737 typedef typename MultiArrayShape<N>::type shape_type;
738 typedef MultiArrayIndex difference_type;
739 typedef MultiArrayIndex index_type;
740 typedef std::forward_iterator_tag iterator_category;
741
742 friend struct NeighborhoodTests<N>;
743
744 GridGraphEdgeIterator()
745 : neighborOffsets_(0),
746 neighborIndices_(0)
747 {}
748
749 template <class DirectedTag>
750 GridGraphEdgeIterator(GridGraph<N, DirectedTag> const & g)
751 : neighborOffsets_(g.edgeIncrementArray()),
752 neighborIndices_(g.neighborIndexArray(BackEdgesOnly)),
753 vertexIterator_(g),
754 outEdgeIterator_(g, vertexIterator_)
755 {
756 if(outEdgeIterator_.atEnd()) // in a undirected graph, the first point stores no edges
757 {
758 ++vertexIterator_;
759 if(vertexIterator_.isValid())
760 outEdgeIterator_ = out_edge_iterator(g, vertexIterator_);
761 }
762 }
763
764 GridGraphEdgeIterator & operator++()
765 {
766 ++outEdgeIterator_;
767 if(outEdgeIterator_.atEnd())
768 {
769 ++vertexIterator_;
770 if(vertexIterator_.isValid())
771 {
772 unsigned int borderType = vertexIterator_.borderType();
773 outEdgeIterator_.init(&(*neighborOffsets_)[borderType], &(*neighborIndices_)[borderType], *vertexIterator_);
774 }
775 }
776 return *this;
777 }
778
779 GridGraphEdgeIterator operator++(int)
780 {
781 GridGraphEdgeIterator ret(*this);
782 ++*this;
783 return ret;
784 }
785
786 const_reference operator*() const
787 {
788 return *outEdgeIterator_;
789 }
790
791 operator const_reference() const
792 {
793 return *outEdgeIterator_;
794 }
795
796 const_pointer operator->() const
797 {
798 return outEdgeIterator_.operator->();
799 }
800
801 bool operator==(GridGraphEdgeIterator const & other) const
802 {
803 return (vertexIterator_ == other.vertexIterator_ && outEdgeIterator_ == other.outEdgeIterator_);
804 }
805
806 bool operator!=(GridGraphEdgeIterator const & other) const
807 {
808 return !operator==(other);
809 }
810
811 bool isValid() const
812 {
813 return vertexIterator_.isValid();
814 }
815
816 bool atEnd() const
817 {
818 return !isValid();
819 }
820
821 GridGraphEdgeIterator getEndIterator() const
822 {
823 GridGraphEdgeIterator ret(*this);
824 ret.vertexIterator_ = vertexIterator_.getEndIterator();
825 vertex_iterator lastVertex = ret.vertexIterator_ - 1;
826 unsigned int borderType = lastVertex.borderType();
827 ret.outEdgeIterator_.init(&(*neighborOffsets_)[borderType], &(*neighborIndices_)[borderType], *lastVertex);
828 ret.outEdgeIterator_ = ret.outEdgeIterator_.getEndIterator();
829 return ret;
830 }
831
832 protected:
833
834 // for testing only
835 GridGraphEdgeIterator(ArrayVector<ArrayVector<typename out_edge_iterator::value_type> > const & neighborOffsets,
836 ArrayVector<ArrayVector<index_type> > const & neighborIndices,
837 ArrayVector<ArrayVector<index_type> > const & backIndices,
838 shape_type const & shape)
839 : neighborOffsets_(&neighborOffsets),
840 neighborIndices_(BackEdgesOnly ? &backIndices : &neighborIndices),
841 vertexIterator_(shape),
842 outEdgeIterator_(neighborOffsets[vertexIterator_.borderType()],
843 neighborIndices[vertexIterator_.borderType()],
844 backIndices[vertexIterator_.borderType()], shape_type())
845 {
846 if(outEdgeIterator_.atEnd()) // in a undirected graph, the first point stores no edges
847 {
848 ++vertexIterator_;
849 if(vertexIterator_.isValid())
850 {
851 unsigned int borderType = vertexIterator_.borderType();
852 outEdgeIterator_.init(&(*neighborOffsets_)[borderType], &(*neighborIndices_)[borderType], *vertexIterator_);
853 }
854 }
855 }
856
857 ArrayVector<ArrayVector<typename out_edge_iterator::value_type> > const * neighborOffsets_;
858 ArrayVector<ArrayVector<index_type> > const * neighborIndices_;
859 vertex_iterator vertexIterator_;
860 out_edge_iterator outEdgeIterator_;
861 };
862
863 template<unsigned int N, bool BackEdgesOnly>
864 class GridGraphArcIterator
865 : public GridGraphEdgeIterator<N, BackEdgesOnly>
866 {
867 public:
868 typedef GridGraphEdgeIterator<N, BackEdgesOnly> base_type;
869 typedef GridGraphArcIterator<N, BackEdgesOnly> self_type;
870 typedef MultiCoordinateIterator<N> vertex_iterator;
871 typedef typename vertex_iterator::value_type vertex_descriptor;
872 typedef GridGraphOutArcIterator<N, BackEdgesOnly> out_edge_iterator;
873 typedef typename out_edge_iterator::value_type edge_descriptor;
874 typedef edge_descriptor value_type;
875 typedef value_type const * pointer;
876 typedef value_type const * const_pointer;
877 typedef value_type const & reference;
878 typedef value_type const & const_reference;
879 typedef typename MultiArrayShape<N>::type shape_type;
880 typedef MultiArrayIndex difference_type;
881 typedef MultiArrayIndex index_type;
882 typedef std::forward_iterator_tag iterator_category;
883
884 friend struct NeighborhoodTests<N>;
885
886 GridGraphArcIterator()
887 : base_type()
888 {}
889
890 explicit GridGraphArcIterator(base_type const & b)
891 : base_type(b)
892 {}
893
894 template <class DirectedTag>
895 GridGraphArcIterator(GridGraph<N, DirectedTag> const & g)
896 : base_type(g)
897 {}
898
899 GridGraphArcIterator & operator++()
900 {
901 base_type::operator++();
902 return *this;
903 }
904
905 GridGraphArcIterator operator++(int)
906 {
907 GridGraphArcIterator ret(*this);
908 ++*this;
909 return ret;
910 }
911
912 const_reference operator*() const
913 {
914 return *(this->outEdgeIterator_);
915 }
916
917 operator const_reference() const
918 {
919 return *(this->outEdgeIterator_);
920 }
921
922 const_pointer operator->() const
923 {
924 return this->outEdgeIterator_.operator->();
925 }
926
927 GridGraphArcIterator getEndIterator() const
928 {
929 return GridGraphArcIterator(base_type::getEndIterator());
930 }
931
932 protected:
933
934 // for testing only
935 GridGraphArcIterator(ArrayVector<ArrayVector<value_type> > const & neighborOffsets,
936 ArrayVector<ArrayVector<index_type> > const & neighborIndices,
937 ArrayVector<ArrayVector<index_type> > const & backIndices,
938 shape_type const & shape)
939 : base_type(neighborOffsets, neighborIndices, backIndices, shape)
940 {}
941 };
942
943 template<unsigned int N>
944 inline bool operator==(MultiCoordinateIterator<N> const & i, lemon::Invalid)
945 {
946 return i.atEnd();
947 }
948
949 template<unsigned int N>
950 inline bool operator!=(MultiCoordinateIterator<N> const & i, lemon::Invalid)
951 {
952 return i.isValid();
953 }
954
955 template<unsigned int N>
956 inline bool operator==(lemon::Invalid, MultiCoordinateIterator<N> const & i)
957 {
958 return i.atEnd();
959 }
960
961 template<unsigned int N>
962 inline bool operator!=(lemon::Invalid, MultiCoordinateIterator<N> const & i)
963 {
964 return i.isValid();
965 }
966
967 #define VIGRA_LEMON_INVALID_COMPARISON(type) \
968 template<unsigned int N, bool BackEdgesOnly> \
969 inline bool operator==(type<N, BackEdgesOnly> const & i, lemon::Invalid) \
970 { \
971 return i.atEnd(); \
972 } \
973 template<unsigned int N, bool BackEdgesOnly> \
974 inline bool operator!=(type<N, BackEdgesOnly> const & i, lemon::Invalid) \
975 { \
976 return i.isValid(); \
977 } \
978 template<unsigned int N, bool BackEdgesOnly> \
979 inline bool operator==(lemon::Invalid, type<N, BackEdgesOnly> const & i) \
980 { \
981 return i.atEnd(); \
982 } \
983 template<unsigned int N, bool BackEdgesOnly> \
984 inline bool operator!=(lemon::Invalid, type<N, BackEdgesOnly> const & i) \
985 { \
986 return i.isValid(); \
987 }
988
989 VIGRA_LEMON_INVALID_COMPARISON(GridGraphNeighborIterator)
990 VIGRA_LEMON_INVALID_COMPARISON(GridGraphOutEdgeIterator)
991 VIGRA_LEMON_INVALID_COMPARISON(GridGraphOutArcIterator)
992 VIGRA_LEMON_INVALID_COMPARISON(GridGraphInArcIterator)
993 VIGRA_LEMON_INVALID_COMPARISON(GridGraphEdgeIterator)
994 VIGRA_LEMON_INVALID_COMPARISON(GridGraphArcIterator)
995
996 #undef VIGRA_LEMON_INVALID_COMPARISON
997
998 using boost::directed_tag;
999 using boost::undirected_tag;
1000
1001 namespace detail {
1002
1003 template <unsigned int N, class DirectedTag>
1004 struct GridGraphBase;
1005
1006 template <unsigned int N>
1007 struct GridGraphBase<N, directed_tag>
1008 {
1009 template <class T>
1010 class ArcMap
1011 : public MultiArray<N+1, Multiband<T> >
1012 {
1013 public:
1014 typedef MultiArray<N+1, Multiband<T> > base_type;
1015 typedef typename base_type::difference_type difference_type;
1016 typedef typename base_type::key_type key_type;
1017 typedef typename base_type::value_type value_type;
1018 typedef typename base_type::reference reference;
1019 typedef typename base_type::const_reference const_reference;
1020 typedef boost::read_write_property_map_tag category;
1021
1022 typedef lemon::True ReferenceMapTag;
1023 typedef key_type Key;
1024 typedef value_type Value;
1025 typedef reference Reference;
1026 typedef const_reference ConstReference;
1027
1028 ArcMap()
1029 : base_type()
1030 {}
1031
1032 explicit ArcMap(GridGraph<N, directed_tag> const & g)
1033 : base_type(g.arc_propmap_shape())
1034 {}
1035
1036 ArcMap(GridGraph<N, directed_tag> const & g, T const & t)
1037 : base_type(g.arc_propmap_shape(), t)
1038 {}
1039
1040 explicit ArcMap(difference_type const & shape)
1041 : base_type(shape)
1042 {}
1043
1044 ArcMap(difference_type const & shape, T const & t)
1045 : base_type(shape, t)
1046 {}
1047
1048 ArcMap & operator=(ArcMap const & m)
1049 {
1050 base_type::operator=(m);
1051 return *this;
1052 }
1053
1054 ArcMap & operator=(base_type const & m)
1055 {
1056 base_type::operator=(m);
1057 return *this;
1058 }
1059
1060 // appropriate operator[] are inherited
1061
1062 void set(Key const & k, Value const & v)
1063 {
1064 (*this)[k] = v;
1065 }
1066 };
1067 };
1068
1069 template <unsigned int N>
1070 struct GridGraphBase<N, undirected_tag>
1071 {
1072 typedef lemon::True UndirectedTag;
1073
1074 template <class T>
1075 class ArcMap
1076 : public MultiArray<N+1, Multiband<T> >
1077 {
1078 public:
1079 typedef MultiArray<N+1, Multiband<T> > base_type;
1080 typedef GridGraphArcDescriptor<N> difference_type;
1081 typedef difference_type key_type;
1082 typedef typename base_type::value_type value_type;
1083 typedef typename base_type::reference reference;
1084 typedef typename base_type::const_reference const_reference;
1085 typedef boost::read_write_property_map_tag category;
1086
1087 typedef lemon::True ReferenceMapTag;
1088 typedef key_type Key;
1089 typedef value_type Value;
1090 typedef reference Reference;
1091 typedef const_reference ConstReference;
1092
1093 ArcMap()
1094 : base_type()
1095 {}
1096
1097 explicit ArcMap(GridGraph<N, undirected_tag> const & g)
1098 : base_type(g.arc_propmap_shape()),
1099 graph_(&g)
1100 {}
1101
1102 ArcMap(GridGraph<N, undirected_tag> const & g, T const & t)
1103 : base_type(g.arc_propmap_shape(), t),
1104 graph_(&g)
1105 {}
1106
1107 ArcMap & operator=(ArcMap const & m)
1108 {
1109 base_type::operator=(m);
1110 return *this;
1111 }
1112
1113 ArcMap & operator=(base_type const & m)
1114 {
1115 base_type::operator=(m);
1116 return *this;
1117 }
1118
1119 reference operator[](difference_type const & s)
1120 {
1121 if(s.isReversed())
1122 {
1123 return base_type::operator[](graph_->directedArc(s));
1124 }
1125 else
1126 {
1127 return base_type::operator[](s);
1128 }
1129 }
1130
1131 const_reference operator[](difference_type const & s) const
1132 {
1133 if(s.isReversed())
1134 {
1135 return base_type::operator[](graph_->directedArc(s));
1136 }
1137 else
1138 {
1139 return base_type::operator[](s);
1140 }
1141 }
1142
1143 void set(Key const & k, Value const & v)
1144 {
1145 (*this)[k] = v;
1146 }
1147
1148 GridGraph<N, undirected_tag> const * graph_;
1149 };
1150 };
1151
1152 } // namespace detail
1153
1154 /********************************************************/
1155 /* */
1156 /* GridGraph */
1157 /* */
1158 /********************************************************/
1159
1160 /** \brief Define a grid graph in arbitrary dimensions.
1161
1162 A GridGraph connects each pixel to its direct or indirect neighbors.
1163 Direct neighbors are the adjacent point along the coordinate axes,
1164 whereas indirect neighbors include the diagonally adjacent points. Thus,
1165 direct neighbors correspond to the 4-neighborhood in 2D and the
1166 6-neighborhood in 3D, whereas indirect neighbors correspond to the
1167 8-neighborhood and 26-neighborhood respectively. The GridGraph class
1168 extends this scheme to arbitrary dimensions. While the dimension must be
1169 defined at compile time via the template parameter <tt>N</tt>, the
1170 desired neighborhood can be chosen at runtime in the GridGraph's
1171 constructor. The shape of the grid is also specified at runtime in terms
1172 of a suitable shape object.
1173
1174 Another choice to be made at compile time is whether the graph should be directed
1175 or undirected. This is defined via the <tt>DirectedTag</tt> template parameter
1176 which can take the values <tt>directed_tag</tt> or <tt>undirected_tag</tt>.
1177
1178 The main difficulty in a grid graph is to skip the missing neighbors
1179 of the pixels near the grid's border. For example, the upper left pixel in a
1180 2D grid has only two direct neighbors instead of the usual four. The GridGraph
1181 class uses a precomputed set of internal look-up tables to efficiently determine the
1182 appropriate number and location of the existing neighbors. A key design decision
1183 to make this fast was to give up the requirement that edge IDs are contiguous
1184 integers (as in LEMON's implementation of a 2D grid graph, which became very
1185 complicated and slow by enforcing this requirement). Instead, edges are numbered
1186 as if all nodes (including nodes at the grid's border) had the same degree.
1187 Since edges crossing the border are not actually present in the graph, these IDs
1188 are missing, leading to gaps in the sequence of IDs.
1189
1190 For the sake of compatibility, the GridGraph class implements two
1191 popular graph APIs: the one defined by the <a href="http://www.boost.org/doc/libs/release/libs/graph/">boost::graph</a> library and
1192 the one defined by the <a href="http://lemon.cs.elte.hu/">LEMON</a> library.
1193 Their basic principles are very similar: The graph's nodes, edges and adjacency
1194 structure are accessed via a set of iterators, whereas additional properties
1195 (like node and edge weights) are provided via <i>property maps</i> that are
1196 indexed with suitable node or edge descriptor objects returned by the iterators.
1197
1198 Specifically, GridGraph implements the requirements of the following <a href="http://www.boost.org/doc/libs/release/libs/graph/doc/graph_concepts.html">concepts of the
1199 boost::graph API</a>: <b>Graph, IncidenceGraph, BidirectionalGraph, AdjacencyGraph,
1200 VertexListGraph, EdgeListGraph,</b> and <b>AdjacencyMatrix</b>. Likewise, it supports
1201 the concepts <b>Graph</b> and <b>Digraph</b> of the LEMON API. The property maps
1202 associated with a GridGraph support the boost concepts ReadablePropertyMap,
1203 WritablePropertyMap, ReadWritePropertyMap, and LvaluePropertyMap as well as the
1204 LEMON concepts ReadMap, WriteMap, ReadWriteMap, and ReferenceMap.
1205
1206 VIGRA's GridGraph class is designed such that multi-dimensional coordinates
1207 (i.e. <tt>TinyVector<MultiArrayIndex></tt>) serve as descriptor objects, which means
1208 that normal <tt>MultiArray</tt>s or <tt>MultiArrayView</tt>s can serve as property
1209 maps in most situations. Thus, node properties like a foreground probability for
1210 foreground/background segmentation can simply be stored as normal images.
1211
1212 Since the boost::graph and LEMON APIs differ in how they call corresponding
1213 functionality (e.g., they use the terms <tt>vertex</tt> and <tt>node</tt> respectively
1214 in an exactly synonymous way), most GridGraph helper classes and functions are exposed
1215 under two different names. To implement your own algorithms, you can choose the API
1216 you like most. VIGRA adopts the convention that algorithms using the boost::graph
1217 API go into the namespace <tt>vigra::boost_graph</tt>, while those using the
1218 LEMON API are placed into the namespace <tt>vigra::lemon_graph</tt>. This helps
1219 to avoid name clashes when the two APIs happen to use the same name for different
1220 things. The documentation of the GridGraph members specifies which API the respective
1221 function or class belongs to. Please consult the documentation of these
1222 libraries for tutorial introductions and full reference of the respective APIs.
1223
1224 VIGRA adds an important new concept of its own: the back neighborhood
1225 and associated adjacency and edge iterators. The back neighborhood of a given vertex
1226 with ID <tt>i</tt> is the set of all neighbor vertices whose ID is smaller than <tt>i</tt>.
1227 This concept is useful if you work on the grid graph's vertices in scan order
1228 and want to access just those neighbors that have already been processed. Connected
1229 components labeling is a typical example of an algorithm that can take advantage of this
1230 possibility. In principle, a back neighborhood iterator could be implemented as
1231 a filter iterator that simply skips all neighbors with inappropriate IDs. However,
1232 in case of grid graphs it is more efficient to provide a special iterator for this purpose.
1233
1234 <b>Usage:</b>
1235
1236 <b>\#include</b> <vigra/multi_gridgraph.hxx> <br/>
1237 Namespace: vigra
1238
1239 At present, the GridGraph class is mainly used internally to implement image
1240 analysis functions for arbitrary dimensional arrays (e.g. detection of local
1241 extrema, connected components labeling, watersheds, SLIC superpixels). For example,
1242 a dimension-independent algorithm to detect local maxima using the LEMON API
1243 might look like this:
1244
1245 \code
1246 namespace vigra { namespace lemon_graph {
1247
1248 template <class Graph, class InputMap, class OutputMap>
1249 void
1250 localMaxima(Graph const & g,
1251 InputMap const & src,
1252 OutputMap & local_maxima,
1253 typename OutputMap::value_type marker)
1254 {
1255 // define abreviations for the required iterators
1256 typedef typename Graph::NodeIt graph_scanner;
1257 typedef typename Graph::OutArcIt neighbor_iterator;
1258
1259 // iterate over all nodes (i.e. pixels)
1260 for (graph_scanner node(g); node != INVALID; ++node)
1261 {
1262 // remember the value of the current node
1263 typename InputMap::value_type current = src[*node];
1264
1265 // iterate over all neighbors of the current node
1266 bool is_local_maximum = true;
1267 for (neighbor_iterator arc(g, node); arc != INVALID; ++arc)
1268 {
1269 // if a neighbor has larger value, the center node is not a local maximum
1270 if (current < src[g.target(*arc)])
1271 is_local_maximum = false;
1272 }
1273
1274 // mark the node when it is a local maximum
1275 if (is_local_maximum)
1276 local_maxima[*node] = marker;
1277 }
1278 }
1279
1280 }} // namespace vigra::lemon_graph
1281 \endcode
1282
1283 It should be noted that this algorithm will work for any LEMON-compatible graph class,
1284 not just our GridGraph. When implemented in terms of the boost::graph API, the same algorithm
1285 looks like this:
1286
1287 \code
1288 namespace vigra { namespace boost_graph {
1289
1290 template <class Graph, class InputMap, class OutputMap>
1291 void
1292 localMaxima(Graph const & g,
1293 InputMap const & src,
1294 OutputMap & local_maxima,
1295 typename property_traits<OutputMap>::value_type marker)
1296 {
1297 // define abreviations and variables for the required iterators
1298 typedef typename graph_traits<Graph>::vertex_iterator graph_scanner;
1299 typedef typename graph_traits<Graph>::adjacency_iterator neighbor_iterator;
1300
1301 graph_scanner node, node_end;
1302 neighbor_iterator arc, arc_end;
1303
1304 // iterate over all nodes (i.e. pixels)
1305 tie(node, node_end) = vertices(g);
1306 for (; node != node_end; ++node)
1307 {
1308 // remember the value of the current node
1309 typename property_traits<InputMap>::value_type current = get(src, *node);
1310
1311 // iterate over all neighbors of the current node
1312 bool is_local_maximum = true;
1313 tie(arc, arc_end) = adjacent_vertices(*node, g);
1314 for (;arc != arc_end; ++arc)
1315 {
1316 // if a neighbor has larger value, the center node is not a local maximum
1317 if (current < get(src, *arc))
1318 is_local_maximum = false;
1319 }
1320
1321 // mark the node when it is a local maximum
1322 if (is_local_maximum)
1323 put(local_maxima, *node, marker);
1324 }
1325 }
1326
1327 }} // namespace vigra::boost_graph
1328 \endcode
1329
1330 It can be seen that the differences between the APIs are mainly syntactic
1331 (especially note that boost::graph users traits classes and free functions,
1332 whereas LEMON uses nested typedefs and member functions). Either of these
1333 algorithms can now serve as the backend of a local maxima detector
1334 for <tt>MultiArrayViews</tt>:
1335
1336 \code
1337 namespace vigra {
1338
1339 template <unsigned int N, class T1,
1340 class T2>
1341 void
1342 localMaxima(MultiArrayView<N, T1> const & src,
1343 MultiArrayView<N, T2> local_maxima,
1344 T2 marker,
1345 NeighborhoodType neighborhood = IndirectNeighborhood)
1346 {
1347 vigra_precondition(src.shape() == local_maxima.shape(),
1348 "localMinMax(): shape mismatch between input and output.");
1349
1350 // create a grid graph with appropriate shape and desired neighborhood
1351 GridGraph<N, undirected_tag> graph(src.shape(), neighborhood);
1352
1353 // forward the call to the graph-based algorithm, using
1354 // the given MultiArrayViews as property maps
1355 lemon_graph::localMaxima(graph, src, local_maxima, marker);
1356 }
1357
1358 } // namespace vigra
1359 \endcode
1360
1361 A slightly enhanced version of this code is actually used to implement this
1362 functionality in VIGRA.
1363 */
1364 template<unsigned int N, class DirectedTag>
1365 class GridGraph
1366 : public detail::GridGraphBase<N, DirectedTag>
1367 {
1368 public:
1369 /** \brief 'true' if the graph is directed (API: boost::graph)
1370 */
1371 static const bool is_directed = IsSameType<DirectedTag, directed_tag>::value;
1372
1373 typedef detail::GridGraphBase<N, DirectedTag> base_type;
1374 typedef GridGraph<N, DirectedTag> self_type;
1375
1376 /** \brief Shape type of the graph and a node property map.
1377 */
1378 typedef typename MultiArrayShape<N>::type shape_type;
1379
1380 /** \brief Shape type of an edge property map (must have one additional dimension).
1381 */
1382 typedef typename MultiArrayShape<N+1>::type edge_propmap_shape_type;
1383
1384 /** \brief Type of node and edge IDs.
1385 */
1386 typedef MultiArrayIndex index_type;
1387
1388 /** \brief Type to specify number of vertices (API: boost::graph,
1389 use via <tt>boost::graph_traits<Graph>::vertices_size_type</tt>).
1390 */
1391 typedef MultiArrayIndex vertices_size_type;
1392
1393 /** \brief Type to specify number of edges (API: boost::graph,
1394 use via <tt>boost::graph_traits<Graph>::edges_size_type</tt>).
1395 */
1396 typedef MultiArrayIndex edges_size_type;
1397
1398 /** \brief Type to specify number of neighbors (API: boost::graph,
1399 use via <tt>boost::graph_traits<Graph>::degree_size_type</tt>).
1400 */
1401 typedef MultiArrayIndex degree_size_type;
1402
1403 /** \brief Iterator over the vertices of the graph (API: boost::graph,
1404 use via <tt>boost::graph_traits<Graph>::vertex_iterator</tt>).
1405 */
1406 typedef MultiCoordinateIterator<N> vertex_iterator;
1407
1408 /** \brief Iterator over the neighbor vertices of a given vertex (API: boost::graph,
1409 use via <tt>boost::graph_traits<Graph>::adjacency_iterator</tt>).
1410 */
1411 typedef GridGraphNeighborIterator<N> adjacency_iterator;
1412
1413 /** \brief Same as adjacency_iterator (API: VIGRA).
1414 */
1415 typedef adjacency_iterator neighbor_vertex_iterator;
1416
1417 /** \brief Iterator over only those neighbor vertices of a given vertex
1418 that have smaller ID (API: VIGRA).
1419 */
1420 typedef GridGraphNeighborIterator<N, true> back_neighbor_vertex_iterator;
1421
1422 /** \brief Iterator over the incoming edges of a given vertex (API: boost::graph,
1423 use via <tt>boost::graph_traits<Graph>::in_edge_iterator</tt>).
1424 */
1425 typedef GridGraphInArcIterator<N> in_edge_iterator;
1426
1427 /** \brief Iterator over the outgoing edges of a given vertex (API: boost::graph,
1428 use via <tt>boost::graph_traits<Graph>::out_edge_iterator</tt>).
1429 */
1430 typedef GridGraphOutArcIterator<N> out_edge_iterator;
1431
1432 /** \brief Iterator over only those outgoing edges of a given vertex
1433 that go to vertices with smaller IDs (API: VIGRA).
1434 */
1435 typedef GridGraphOutArcIterator<N, true> out_back_edge_iterator;
1436
1437 /** \brief Iterator over the edges of a graph (API: boost::graph,
1438 use via <tt>boost::graph_traits<Graph>::edge_iterator</tt>).
1439 */
1440 typedef GridGraphArcIterator<N, !is_directed> edge_iterator;
1441
1442 /** \brief The vertex descriptor (API: boost::graph,
1443 use via <tt>boost::graph_traits<Graph>::vertex_descriptor</tt>).
1444 */
1445 typedef shape_type vertex_descriptor;
1446
1447 /** \brief The edge descriptor (API: boost::graph,
1448 use via <tt>boost::graph_traits<Graph>::edge_descriptor</tt>).
1449 */
1450 typedef GridGraphArcDescriptor<N> edge_descriptor;
1451
1452 /** \brief Is the graph directed or undirected ? (API: boost::graph,
1453 use via <tt>boost::graph_traits<Graph>::directed_category</tt>).
1454 */
1455 typedef DirectedTag directed_category;
1456
1457 /** \brief The graph does not allow multiple edges between the same vertices
1458 (API: boost::graph, use via
1459 <tt>boost::graph_traits<Graph>::edge_parallel_category</tt>).
1460 */
1461 typedef boost::disallow_parallel_edge_tag edge_parallel_category;
1462
1463 /** \brief The graph does not define internal property maps (API: boost::graph,
1464 use via <tt>boost::graph_traits<Graph>::vertex_property_type</tt>).
1465 */
1466 typedef boost::no_property vertex_property_type; // we only support "external properties".
1467 // FIXME: Maybe support the vertex -> coordinate map (identity) as the only internal property map
1468 // and additionally the vertex_descriptor -> ID map (vertex_index = SOI).
1469
1470 /** \brief Define several graph tags related to graph traversal (API: boost::graph,
1471 use via <tt>boost::graph_traits<Graph>::traversal_category</tt>).
1472 */
1473 struct traversal_category
1474 : virtual public boost::bidirectional_graph_tag,
1475 virtual public boost::adjacency_graph_tag,
1476 virtual public boost::vertex_list_graph_tag,
1477 virtual public boost::edge_list_graph_tag,
1478 virtual public boost::adjacency_matrix_tag
1479 {};
1480
1481 // internal types
1482 typedef ArrayVector<shape_type> NeighborOffsetArray;
1483 typedef ArrayVector<NeighborOffsetArray> RelativeNeighborOffsetsArray;
1484 typedef ArrayVector<ArrayVector<edge_descriptor> > RelativeEdgeOffsetsArray;
1485 typedef ArrayVector<ArrayVector<MultiArrayIndex> > IndexArray;
1486
1487 ////////////////////////////////////////////////////////////////////
1488
1489 // LEMON interface
1490 typedef self_type Graph;
1491
1492 /** \brief The Node descriptor (API: LEMON).
1493 */
1494 typedef vertex_descriptor Node;
1495
1496 /** \brief Iterator over all nodes of the graph (API: LEMON).
1497 */
1498 typedef vertex_iterator NodeIt;
1499
1500 /** \brief The arc (directed edge) descriptor (API: LEMON).
1501 */
1502 typedef GridGraphArcDescriptor<N> Arc;
1503
1504 /** \brief Iterator over the outgoing edges of a node (API: LEMON).
1505 */
1506 typedef GridGraphOutArcIterator<N> OutArcIt;
1507
1508 /** \brief Iterator over only those outgoing edges of a node
1509 that end in a node with smaller ID (API: VIGRA).
1510 */
1511 typedef GridGraphOutArcIterator<N, true> OutBackArcIt;
1512
1513 /** \brief Iterator over the acrs (directed edges) of a node (API: LEMON).
1514 */
1515 typedef GridGraphArcIterator<N, false> ArcIt;
1516
1517 /** \brief Iterator over the incoming arcs of a node (API: LEMON).
1518 */
1519 typedef GridGraphInArcIterator<N> InArcIt;
1520
1521 /** \brief The edge descriptor (API: LEMON).
1522 */
1523 typedef typename MultiArrayShape<N+1>::type Edge;
1524
1525 /** \brief Iterator over the incident edges of a node (API: LEMON).
1526 */
1527 typedef GridGraphOutEdgeIterator<N> IncEdgeIt;
1528
1529 /** \brief Iterator over only those incident edges of a node that
1530 end in a node with smaller ID (API: VIGRA).
1531 */
1532 typedef GridGraphOutEdgeIterator<N, true> IncBackEdgeIt;
1533
1534 /** \brief Iterator over the edges of the graph (API: LEMON).
1535 */
1536 typedef GridGraphEdgeIterator<N, !is_directed> EdgeIt;
1537
1538 typedef lemon::True NodeNumTag;
1539 typedef lemon::True EdgeNumTag;
1540 typedef lemon::True ArcNumTag;
1541 typedef lemon::True FindEdgeTag;
1542 typedef lemon::True FindArcTag;
1543
1544 ////////////////////////////////////////////////////////////////////
1545
1546 /** \brief Type of a node property map that maps node descriptor objects
1547 onto property values of type <tt>T</tt> (API: LEMON).
1548 */
1549 template <class T>
1550 class NodeMap
1551 : public MultiArray<N, T>
1552 {
1553 public:
1554 typedef MultiArray<N, T> base_type;
1555 typedef typename base_type::difference_type difference_type;
1556 typedef typename base_type::key_type key_type;
1557 typedef typename base_type::value_type value_type;
1558 typedef typename base_type::reference reference;
1559 typedef typename base_type::const_reference const_reference;
1560 typedef boost::read_write_property_map_tag category;
1561
1562 typedef lemon::True ReferenceMapTag;
1563 typedef key_type Key;
1564 typedef value_type Value;
1565 typedef reference Reference;
1566 typedef const_reference ConstReference;
1567
1568 NodeMap()
1569 : base_type()
1570 {}
1571
1572 /** \brief Construct property map for the given graph \a g
1573 (preallocates a zero-initialized entry for each node of the graph).
1574 */
1575 explicit NodeMap(GridGraph const & g)
1576 : base_type(g.shape())
1577 {}
1578
1579 /** \brief Construct property map for the given graph \a g
1580 (preallocates an entry with initial value \a t for each node of the graph).
1581 */
1582 NodeMap(GridGraph const & g, T const & t)
1583 : base_type(g.shape(), t)
1584 {}
1585
1586 /** \brief Construct property map for the given \a shape.
1587 (preallocates a zero-initialized entry for each node of a grid
1588 graph with this shape).
1589 */
1590 explicit NodeMap(difference_type const & shape)
1591 : base_type(shape)
1592 {}
1593
1594 /** \brief Construct property map for the given \a shape.
1595 (preallocates an entry with initial value \a t for each node of a grid
1596 graph with this shape).
1597 */
1598 NodeMap(difference_type const & shape, T const & t)
1599 : base_type(shape, t)
1600 {}
1601
1602 NodeMap & operator=(NodeMap const & m)
1603 {
1604 base_type::operator=(m);
1605 return *this;
1606 }
1607
1608 NodeMap & operator=(base_type const & m)
1609 {
1610 base_type::operator=(m);
1611 return *this;
1612 }
1613
1614 // appropriate operator[] are inherited
1615 #ifdef DOXYGEN
1616 /** \brief Read/write access to the value associated with node descriptor \a key.
1617 */
1618 Value & operator[](Key const & key);
1619
1620 /** \brief Read-only access to the value associated with node descriptor \a key.
1621 */
1622 Value const & operator[](Key const & key) const;
1623 #endif // DOXYGEN
1624
1625 /** \brief Set the property of node desctiptor \a key to value \a v.
1626 */
1627 void set(Key const & k, Value const & v)
1628 {
1629 (*this)[k] = v;
1630 }
1631 };
1632
1633
1634 /** \brief Type of an edge property map that maps edge descriptor objects
1635 onto property values of type <tt>T</tt> (API: LEMON).
1636 */
1637 template <class T>
1638 class EdgeMap
1639 : public MultiArray<N+1, Multiband<T> >
1640 {
1641 public:
1642 typedef MultiArray<N+1, Multiband<T> > base_type;
1643 typedef typename base_type::difference_type difference_type;
1644 typedef typename base_type::key_type key_type;
1645 typedef typename base_type::value_type value_type;
1646 typedef typename base_type::reference reference;
1647 typedef typename base_type::const_reference const_reference;
1648 typedef boost::read_write_property_map_tag category;
1649
1650 typedef lemon::True ReferenceMapTag;
1651 typedef key_type Key;
1652 typedef value_type Value;
1653 typedef reference Reference;
1654 typedef const_reference ConstReference;
1655
1656 EdgeMap()
1657 : base_type()
1658 {}
1659
1660 /** \brief Construct property map for the given graph \a g
1661 (preallocates a zero-initialized entry for each edge of the graph).
1662 */
1663 explicit EdgeMap(GridGraph const & g)
1664 : base_type(g.edge_propmap_shape())
1665 {}
1666
1667 /** \brief Construct property map for the given graph \a g
1668 (preallocates an entry with initial value \a t for each edge of the graph).
1669 */
1670 EdgeMap(GridGraph const & g, T const & t)
1671 : base_type(g.edge_propmap_shape(), t)
1672 {}
1673
1674 /** \brief Construct property map for the given \a shape
1675 (preallocates a zero-initialized entry for each edge of
1676 a grid graph with this shape).
1677 */
1678 explicit EdgeMap(difference_type const & shape)
1679 : base_type(shape)
1680 {}
1681
1682 /** \brief Construct property map for the given \a shape
1683 (preallocates an entry with initial value \a t for each edge
1684 of a grid graph with this shape).
1685 */
1686 EdgeMap(difference_type const & shape, T const & t)
1687 : base_type(shape, t)
1688 {}
1689
1690 EdgeMap & operator=(EdgeMap const & m)
1691 {
1692 base_type::operator=(m);
1693 return *this;
1694 }
1695
1696 EdgeMap & operator=(base_type const & m)
1697 {
1698 base_type::operator=(m);
1699 return *this;
1700 }
1701
1702 // appropriate operator[] are inherited
1703 #ifdef DOXYGEN
1704 /** \brief Read/write access to the value associated with edge descriptor \a key.
1705 */
1706 Value & operator[](Key const & key);
1707
1708 /** \brief Read-only access to the value associated with edge descriptor \a key.
1709 */
1710 Value const & operator[](Key const & key) const;
1711 #endif // DOXYGEN
1712
1713 /** \brief Set the property of edge desctiptor \a key to value \a v.
1714 */
1715 void set(Key const & k, Value const & v)
1716 {
1717 (*this)[k] = v;
1718 }
1719 };
1720
1721 #ifdef DOXYGEN
1722 /** \brief Type of an arc property map that maps arc descriptor objects
1723 onto property values of type <tt>T</tt> (API: LEMON).
1724 */
1725 template <class T>
1726 class ArcMap
1727 : public MultiArray<N+1, Multiband<T> >
1728 {
1729 public:
1730
1731 /** \brief Construct property map for the given graph \a g
1732 (preallocates a zero-initialized entry for each arc of the graph).
1733 */
1734 explicit ArcMap(GridGraph const & g);
1735
1736 /** \brief Construct property map for the given graph \a g
1737 (preallocates an entry with initial value \a t for each arc of the graph).
1738 */
1739 ArcMap(GridGraph const & g, T const & t);
1740
1741 /** \brief Construct property map for the given \a shape
1742 (preallocates a zero-initialized entry for each arc of
1743 a grid graph with this shape).
1744 */
1745 explicit ArcMap(difference_type const & shape);
1746
1747 /** \brief Construct property map for the given \a shape
1748 (preallocates an entry with initial value \a t for each arc of
1749 a grid graph with this shape).
1750 */
1751 ArcMap(difference_type const & shape, T const & t);
1752
1753 /** \brief Read/write access to the value associated with arc descriptor \a key.
1754 */
1755 Value & operator[](Key const & key);
1756
1757 /** \brief Read-only access to the value associated with arc descriptor \a key.
1758 */
1759 Value const & operator[](Key const & key) const;
1760
1761 /** \brief Set the property of arc desctiptor \a key to value \a v.
1762 */
1763 void set(Key const & k, Value const & v);
1764 };
1765 #endif // DOXYGEN
1766
1767 /** \brief Type of a property map that returns the coordinate of a given node (API: LEMON).
1768 */
1769 class IndexMap
1770 {
1771 public:
1772 typedef Node Key;
1773 typedef Node Value;
1774 typedef Key key_type;
1775 typedef Value value_type;
1776 typedef Value const & reference;
1777 typedef boost::readable_property_map_tag category;
1778
1779 IndexMap()
1780 {}
1781
1782 /** \brief Construct property map for the given graph.
1783 */
1784 explicit IndexMap(const GridGraph&)
1785 {}
1786
1787 /** \brief Get the grid coordinate of the node descriptor \a key.
1788 */
1789 Value const & operator[](Key const & key) const
1790 {
1791 return key;
1792 }
1793 };
1794
1795 /** \brief Type of a property map that returns the number of incoming edges of a given node (API: LEMON, use via <tt>lemon::InDegMap<Graph></tt>).
1796 */
1797 class InDegMap
1798 {
1799 public:
1800
1801 /// The graph type of InDegMap (works for directed and undirected graphs)
1802 typedef GridGraph Graph;
1803 typedef GridGraph Digraph;
1804 typedef Node Key;
1805 typedef degree_size_type Value;
1806 typedef Key key_type;
1807 typedef Value value_type;
1808 typedef Value const & reference;
1809 typedef boost::readable_property_map_tag category;
1810
1811 /** \brief Construct property map for the given graph.
1812 */
1813 explicit InDegMap(const GridGraph& graph)
1814 : graph_(graph)
1815 {}
1816
1817 /** \brief Get the in-degree of the node descriptor \a key.
1818 */
1819 Value operator[](const Key& key) const
1820 {
1821 return graph_.in_degree(key);
1822 }
1823
1824 protected:
1825
1826 GridGraph const & graph_;
1827 };
1828
1829 /** \brief Type of a property map that returns the number of outgoing edges of a given node (API: LEMON, use via <tt>lemon::OutDegMap<Graph></tt>).
1830 */
1831 class OutDegMap
1832 {
1833 public:
1834
1835 /// The graph type of OutDegMap (works for directed and undirected graphs)
1836 typedef GridGraph Graph;
1837 typedef GridGraph Digraph;
1838 typedef Node Key;
1839 typedef degree_size_type Value;
1840 typedef Key key_type;
1841 typedef Value value_type;
1842 typedef Value const & reference;
1843 typedef boost::readable_property_map_tag category;
1844
1845 /** \brief Construct property map for the given graph.
1846 */
1847 explicit OutDegMap(const GridGraph& graph)
1848 : graph_(graph)
1849 {}
1850
1851 /** \brief Get the out-degree of the node descriptor \a key.
1852 */
1853 Value operator[](const Key& key) const
1854 {
1855 return graph_.out_degree(key);
1856 }
1857
1858 protected:
1859
1860 GridGraph const & graph_;
1861 };
1862
1863 ////////////////////////////////////////////////////////////////////
1864
1865 // dummy default constructor to satisfy adjacency_graph concept
1866 GridGraph()
1867 {}
1868
1869 /** \brief Construct a grid graph with given \a shape and neighborhood type \a ntype.
1870
1871 The shape must have type <tt>MultiArrayShape<N>::type</tt> with the appropriate
1872 dimension <tt>N</tt>. The neighborhood type can take the values
1873 <tt>DirectNeighborhood</tt> to use only the axis-aligned edges (2N-neighborhood)
1874 and <tt>IndirectNeighborhood</tt> to use all diagonal edges as well
1875 ((3<sup>N</sup>-1)-neighborhood).
1876 */
1877 GridGraph(shape_type const &shape, NeighborhoodType ntype = DirectNeighborhood)
1878 : shape_(shape),
1879 num_vertices_(prod(shape)),
1880 num_edges_(gridGraphEdgeCount(shape, ntype, is_directed)),
1881 neighborhoodType_(ntype)
1882 {
1883 ArrayVector<ArrayVector<bool> > neighborExists;
1884
1885 // populate the neighborhood tables:
1886 // FIXME: this might be static (but make sure that it works with multi-threading)
1887 detail::makeArrayNeighborhood(neighborOffsets_, neighborExists, neighborhoodType_);
1888 detail::computeNeighborOffsets(neighborOffsets_, neighborExists, incrementalOffsets_,
1889 edgeDescriptorOffsets_, neighborIndices_, backIndices_, is_directed);
1890
1891 // compute the neighbor offsets per neighborhood type
1892 // detail::makeArraySubNeighborhood(neighborhood[0], neighborExists, shape_type(1), neighborhoodIndices);
1893 }
1894
1895 /** \brief Get the ID (i.e. scan-order index) for node desciptor \a v (API: LEMON).
1896 */
1897 index_type id(Node const & v) const
1898 {
1899 return detail::CoordinateToScanOrder<N>::exec(shape(), v);
1900 }
1901
1902 index_type id(NodeIt const & v) const
1903 {
1904 return v.scanOrderIndex();
1905 }
1906
1907 index_type id(neighbor_vertex_iterator const & v) const
1908 {
1909 return id(*v);
1910 }
1911
1912 index_type id(back_neighbor_vertex_iterator const & v) const
1913 {
1914 return id(*v);
1915 }
1916
1917 /** \brief Get node descriptor for given node ID \a i (API: LEMON).
1918 */
1919 Node nodeFromId(index_type i) const
1920 {
1921 Node res(SkipInitialization);
1922 detail::ScanOrderToCoordinate<N>::exec(i, shape(), res);
1923 return res;
1924 }
1925
1926 /** \brief Get the maximum ID of any node in this graph (API: LEMON).
1927 */
1928 index_type maxNodeId() const
1929 {
1930 return prod(shape()) - 1;
1931 }
1932
1933 /** \brief Get the grid cordinate of the given node \a v (convenience function).
1934 */
1935 Node const & pos(Node const & v) const
1936 {
1937 return v;
1938 }
1939
1940 /** \brief Get vertex iterator pointing to the first vertex of this graph (convenience function,<br/>
1941 the boost::graph API provides the free function <tt>boost::vertices(graph)</tt>,<br/>
1942 LEMON uses <tt>Graph::NodeIt(graph)</tt>).
1943 */
1944 vertex_iterator get_vertex_iterator() const
1945 {
1946 return vertex_iterator(shape_);
1947 }
1948
1949 /** \brief Get vertex iterator pointing to the given vertex (API: VIGRA).
1950 */
1951 vertex_iterator get_vertex_iterator(vertex_descriptor const & v) const
1952 {
1953 return vertex_iterator(shape_) + v;
1954 }
1955
1956 /** \brief Get vertex iterator pointing beyond the valid range of vertices of this graph (convenience function,<br/>
1957 the boost::graph API provides the free function <tt>boost::vertices(graph)</tt>,<br/>
1958 LEMON uses the special value <tt>lemon::INVALID</tt> instead).
1959 */
1960 vertex_iterator get_vertex_end_iterator() const
1961 {
1962 return get_vertex_iterator().getEndIterator();
1963 }
1964
1965 /** \brief Get an iterator pointing to the first neighbor of the given vertex (convenience function,<br/>
1966 the boost::graph API provides the free function <tt>boost::adjacent_vertices(v, graph)</tt>,<br/>
1967 LEMON uses <tt>Graph::ArcIt(g, v)</tt>).
1968 */
1969 neighbor_vertex_iterator get_neighbor_vertex_iterator(vertex_descriptor const & v) const
1970 {
1971 return neighbor_vertex_iterator(*this, v);
1972 }
1973
1974 /** \brief Get an iterator pointing beyond the range of neighbors of the given vertex (convenience function,<br/>
1975 the boost::graph API provides the free function <tt>boost::adjacent_vertices(v, graph)</tt>,<br/>
1976 LEMON uses the speical value <tt>lemon::INVALID</tt> instead).
1977 */
1978 neighbor_vertex_iterator get_neighbor_vertex_end_iterator(vertex_descriptor const & v) const
1979 {
1980 return get_neighbor_vertex_iterator(v).getEndIterator();
1981 }
1982
1983 /** \brief Get an iterator pointing to the first backward neighbor of the given vertex (API: VIGRA,<br/>
1984 in analogy to the boost::graph API, we also provide a free function <tt>boost::back_adjacent_vertices(v, g)</tt>,<br/>
1985 and the LEMON analogue is <tt>Graph::OutBackArcIt(graph, v)</tt>).
1986 */
1987 back_neighbor_vertex_iterator get_back_neighbor_vertex_iterator(vertex_descriptor const & v) const
1988 {
1989 return back_neighbor_vertex_iterator(*this, v);
1990 }
1991
1992 /** \brief Get an iterator pointing beyond the range of backward neighbors of the given vertex (API: VIGRA,<br/>
1993 in analogy to the boost::graph API, we also provide a free function <tt>boost::back_adjacent_vertices(v, g)</tt>,<br/>
1994 and LEMON just uses <tt>lemon::INVALID</tt> instead).
1995 */
1996 back_neighbor_vertex_iterator get_back_neighbor_vertex_end_iterator(vertex_descriptor const & v) const
1997 {
1998 return get_back_neighbor_vertex_iterator(v).getEndIterator();
1999 }
2000
2001 // --------------------------------------------------
2002 // support for VertexListGraph:
2003
2004 /** \brief Get the number of vertices in this graph (convenience function,
2005 the boost::graph API provides the free function <tt>boost::num_vertices(graph)</tt>).
2006 */
2007 vertices_size_type num_vertices() const
2008 {
2009 return num_vertices_;
2010 }
2011
2012 /** \brief Get the number of nodes in this graph (API: LEMON).
2013 */
2014 vertices_size_type nodeNum() const
2015 {
2016 return num_vertices();
2017 }
2018
2019 // --------------------------------------------------
2020 // support for IncidenceGraph:
2021
2022 /** \brief Get the ID (i.e. scan-order index in an edge property map) for the
2023 given edges descriptor \a e (API: LEMON).
2024 */
2025 index_type id(Edge const & e) const
2026 {
2027 return detail::CoordinateToScanOrder<N+1>::exec(edge_propmap_shape(), e);
2028 }
2029
2030 index_type id(EdgeIt const & e) const
2031 {
2032 return id(*e);
2033 }
2034
2035 index_type id(IncEdgeIt const & e) const
2036 {
2037 return id(*e);
2038 }
2039
2040 index_type id(IncBackEdgeIt const & e) const
2041 {
2042 return id(*e);
2043 }
2044
2045 /** \brief Get the edge descriptor for the given edge ID \a i (API: LEMON).
2046 */
2047 Edge edgeFromId(index_type i) const
2048 {
2049 Edge res(SkipInitialization);
2050 detail::ScanOrderToCoordinate<N+1>::exec(i, edge_propmap_shape(), res);
2051 return res;
2052 }
2053
2054 /** \brief Get the maximum ID of any edge in this graph (API: LEMON).
2055 */
2056 index_type maxEdgeId() const
2057 {
2058 if(is_directed)
2059 return maxArcId();
2060 if(edgeNum() == 0)
2061 return -1;
2062 Node lastNode = shape() - shape_type(1);
2063 Arc a(lastNode, backIndices_[get_border_type(lastNode)].back(), false);
2064 return detail::CoordinateToScanOrder<N+1>::exec(edge_propmap_shape(), a);
2065 }
2066
2067 /** \brief Get the ID (i.e. scan-order index an an arc property map) for
2068 the given ar \a a (API: LEMON).
2069 */
2070 index_type id(Arc const & a) const
2071 {
2072 return detail::CoordinateToScanOrder<N+1>::exec(arc_propmap_shape(), directedArc(a));
2073 }
2074
2075 index_type id(ArcIt const & a) const
2076 {
2077 return id(*a);
2078 }
2079
2080 index_type id(OutArcIt const & a) const
2081 {
2082 return id(*a);
2083 }
2084
2085 index_type id(OutBackArcIt const & a) const
2086 {
2087 return id(*a);
2088 }
2089
2090 /** \brief Get an arc descriptor for the given arc ID \a i (API: LEMON).
2091 */
2092 Arc arcFromId(index_type i) const
2093 {
2094 Arc res;
2095 detail::ScanOrderToCoordinate<N+1>::exec(i, arc_propmap_shape(), res);
2096 return undirectedArc(res);
2097 }
2098
2099 /** \brief Get the maximal ID af any arc in this graph (API: LEMON).
2100 */
2101 index_type maxArcId() const
2102 {
2103 if(edgeNum() == 0)
2104 return -1;
2105 Node lastNode = shape() - shape_type(1);
2106 index_type n = neighborIndices_[get_border_type(lastNode)][0];
2107 Arc a(neighbor(lastNode, n), oppositeIndex(n), false);
2108 return detail::CoordinateToScanOrder<N+1>::exec(arc_propmap_shape(), a);
2109 }
2110
2111 /** \brief Return <tt>true</tt> when the arc is looking on the underlying
2112 edge in its natural (i.e. forward) direction, <tt>false</tt> otherwise (API: LEMON).
2113 */
2114 bool direction(Arc const & a) const
2115 {
2116 return !a.isReversed();
2117 }
2118
2119 /** \brief Create an arc for the given edge \a e, oriented along the
2120 edge's natural (<tt>forward = true</tt>) or reversed
2121 (<tt>forward = false</tt>) direction (API: LEMON).
2122 */
2123 Arc direct(Edge const & e, bool forward) const
2124 {
2125 if(!is_directed || forward)
2126 return Arc(e, !forward);
2127 else
2128 return Arc(v(e), oppositeIndex(e[N]), true);
2129 }
2130
2131 /** \brief Create an arc for the given edge \a e oriented
2132 so that node \a n is the starting node of the arc (API: LEMON), or
2133 return <tt>lemon::INVALID</tt> if the edge is not incident to this node.
2134 */
2135 Arc direct(Edge const & e, Node const & n) const
2136 {
2137 if(u(e) == n)
2138 return direct(e, true);
2139 if(v(e) == n)
2140 return direct(e, false);
2141 return Arc(lemon::INVALID);
2142 }
2143
2144 /** \brief Return the opposite node of the given node \a n
2145 along edge \a e (API: LEMON), or return <tt>lemon::INVALID</tt>
2146 if the edge is not incident to this node.
2147 */
2148 Node oppositeNode(Node const & n, Edge const & e) const
2149 {
2150 Node start(u(e)), end(v(e));
2151 if(n == start)
2152 return end;
2153 if(n == end)
2154 return start;
2155 return Node(lemon::INVALID);
2156 }
2157
2158 /** \brief Create an arc referring to the same edge as the given
2159 arc \a a, but with reversed direction (API: LEMON).
2160 */
2161 Arc oppositeArc(Arc const & a) const
2162 {
2163 return is_directed
2164 ? Arc(neighbor(a.vertexDescriptor(), a.edgeIndex()), oppositeIndex(a.edgeIndex()), false)
2165 : Arc(a, !a.isReversed());
2166 }
2167
2168 // internal function
2169 Arc directedArc(Arc const & a) const
2170 {
2171 return a.isReversed()
2172 ? Arc(neighbor(a.vertexDescriptor(), a.edgeIndex()), oppositeIndex(a.edgeIndex()), false)
2173 : a;
2174 }
2175
2176 // internal function
2177 Arc undirectedArc(Arc const & a) const
2178 {
2179 return a.edgeIndex() < maxUniqueDegree()
2180 ? a
2181 : Arc(neighbor(a.vertexDescriptor(), a.edgeIndex()), oppositeIndex(a.edgeIndex()), true);
2182 }
2183
2184 /** \brief Return the start node of the edge the given iterator is referring to (API: LEMON).
2185 */
2186 Node baseNode(IncEdgeIt const & e) const
2187 {
2188 return source(e.arcDescriptor());
2189 }
2190
2191 /** \brief Return the start node of the edge the given iterator is referring to (API: VIGRA).
2192 */
2193 Node baseNode(IncBackEdgeIt const & e) const
2194 {
2195 return source(e.arcDescriptor());
2196 }
2197
2198 /** \brief Return the start node of the edge the given iterator is referring to (API: LEMON).
2199 */
2200 Node baseNode(OutArcIt const & a) const
2201 {
2202 return source(*a);
2203 }
2204
2205 /** \brief Return the start node of the edge the given iterator is referring to (API: VIGRA).
2206 */
2207 Node baseNode(OutBackArcIt const & a) const
2208 {
2209 return source(*a);
2210 }
2211
2212 /** \brief Return the end node of the edge the given iterator is referring to (API: LEMON).
2213 */
2214 Node runningNode(IncEdgeIt const & e) const
2215 {
2216 return target(e.arcDescriptor());
2217 }
2218
2219 /** \brief Return the end node of the edge the given iterator is referring to (API: VIGRA).
2220 */
2221 Node runningNode(IncBackEdgeIt const & e) const
2222 {
2223 return target(e.arcDescriptor());
2224 }
2225
2226 /** \brief Return the end node of the edge the given iterator is referring to (API: LEMON).
2227 */
2228 Node runningNode(OutArcIt const & a) const
2229 {
2230 return target(*a);
2231 }
2232
2233 /** \brief Return the end node of the edge the given iterator is referring to (API: VIGRA).
2234 */
2235 Node runningNode(OutBackArcIt const & a) const
2236 {
2237 return target(*a);
2238 }
2239
2240 /** \brief Get the start node of the given arc \a a (API: LEMON).
2241 */
2242 Node source(Arc const & a) const
2243 {
2244 return source_or_target(a, true);
2245 }
2246
2247 /** \brief Get the end node of the given arc \a a (API: LEMON).
2248 */
2249 Node target(Arc const & a) const
2250 {
2251 return source_or_target(a, false);
2252 }
2253
2254 /** \brief Get the start node of the given edge \a e (API: LEMON,<br/>
2255 the boost::graph API provides the free function <tt>boost::source(e, graph)</tt>).
2256 */
2257 Node u(Edge const & e) const
2258 {
2259 return Node(e.template subarray<0,N>());
2260 }
2261
2262 /** \brief Get the end node of the given edge \a e (API: LEMON,<br/>
2263 the boost::graph API provides the free function <tt>boost::target(e, graph)</tt>).
2264 */
2265 Node v(Edge const & e) const
2266 {
2267 return Node(e.template subarray<0,N>()) + neighborOffsets_[e[N]];
2268 }
2269
2270 /** \brief Get an iterator pointing to the first outgoing edge of the given vertex (convenience function,<br/>
2271 the boost::graph API provides the free function <tt>boost::out_edges(v, graph)</tt>,<br/>
2272 LEMON uses <tt>Graph::OutArcIt(g, v)</tt>).
2273 */
2274 out_edge_iterator get_out_edge_iterator(vertex_descriptor const & v) const
2275 {
2276 return out_edge_iterator(*this, v);
2277 }
2278
2279 /** \brief Get an iterator pointing beyond the range of outgoing edges of the given vertex (convenience function,<br/>
2280 the boost::graph API provides the free function <tt>boost::out_edges(v, graph)</tt>,<br/>
2281 LEMON uses the special value <tt>lemon::INVALID</tt> instead).
2282 */
2283 out_edge_iterator get_out_edge_end_iterator(vertex_descriptor const & v) const
2284 {
2285 return get_out_edge_iterator(v).getEndIterator();
2286 }
2287
2288 /** \brief Get an iterator pointing to the first outgoing backward edge of the given vertex (API: VIGRA,<br/>
2289 in analogy to the boost::graph API, we also provide a free function <tt>boost::out_back_edges(v, g)</tt>,<br/>
2290 and the LEMON analogue is <tt>Graph::IncBackEdgeIt(graph, v)</tt>).
2291 */
2292 out_back_edge_iterator get_out_back_edge_iterator(vertex_descriptor const & v) const
2293 {
2294 return out_back_edge_iterator(*this, v);
2295 }
2296
2297 /** \brief Get an iterator pointing beyond the range of outgoing backward edges of the given vertex (API: VIGRA,<br/>
2298 in analogy to the boost::graph API, we also provide a free function <tt>boost::out_back_edges(v, g)</tt>,<br/>
2299 and LEMON uses the special value <tt>lemon::INVALID</tt> instead).
2300 */
2301 out_back_edge_iterator get_out_back_edge_end_iterator(vertex_descriptor const & v) const
2302 {
2303 return get_out_back_edge_iterator(v).getEndIterator();
2304 }
2305
2306 /** \brief Get an iterator pointing to the first incoming edge of the given vertex (convenience function,<br/>
2307 the boost::graph API provides the free function <tt>boost::in_edges(v, graph)</tt>,<br/>
2308 LEMON uses <tt>Graph::InArcIt(g, v)</tt>).
2309 */
2310 in_edge_iterator get_in_edge_iterator(vertex_descriptor const & v) const
2311 {
2312 return in_edge_iterator(*this, v);
2313 }
2314
2315 /** \brief Get an iterator pointing beyond the range of incoming edges of the given vertex (convenience function,<br/>
2316 the boost::graph API provides the free function <tt>boost::in_edges(v, graph)</tt>,<br/>
2317 LEMON uses the special value <tt>lemon::INVALID</tt> instead).
2318 */
2319 in_edge_iterator get_in_edge_end_iterator(vertex_descriptor const & v) const
2320 {
2321 return get_in_edge_iterator(v).getEndIterator();
2322 }
2323
2324 /** \brief Get the number of outgoing edges of the given vertex (convenience function,<br/>
2325 the boost::graph API provides the free function <tt>boost::out_degree(v, graph)</tt>,<br/>
2326 LEMON uses a special property map <tt>lemon::OutDegMap<Graph></tt>).
2327 */
2328 degree_size_type out_degree(vertex_descriptor const & v) const
2329 {
2330 return (degree_size_type)neighborIndices_[get_border_type(v)].size();
2331 }
2332
2333 /** \brief Get the number of outgoing backward edges of the given vertex (API: VIGRA).
2334 */
2335 degree_size_type back_degree(vertex_descriptor const & v) const
2336 {
2337 return (degree_size_type)backIndices_[get_border_type(v)].size();
2338 }
2339
2340 /** \brief Get the number of outgoing forward edges of the given vertex (API: VIGRA).
2341 */
2342 degree_size_type forward_degree(vertex_descriptor const & v) const
2343 {
2344 unsigned int bt = get_border_type(v);
2345 return (degree_size_type)(neighborIndices_[bt].size() - backIndices_[bt].size());
2346 }
2347
2348 /** \brief Get the number of incoming edges of the given vertex (convenience function,<br/>
2349 the boost::graph API provides the free function <tt>boost::in_degree(v, graph)</tt>,<br/>
2350 LEMON uses a special property map <tt>lemon::InDegMap<Graph></tt>).
2351 */
2352 degree_size_type in_degree(vertex_descriptor const & v) const
2353 {
2354 return out_degree(v);
2355 }
2356
2357 /** \brief Get the total number of edges (incoming plus outgoing) of the given vertex (convenience function,<br/>
2358 the boost::graph API provides the free function <tt>boost::degree(v, graph)</tt>,<br/>
2359 LEMON has no analogue).
2360 */
2361 degree_size_type degree(vertex_descriptor const & v) const
2362 {
2363 return is_directed
2364 ? 2*out_degree(v)
2365 : out_degree(v);
2366 }
2367
2368 // --------------------------------------------------
2369 // support for EdgeListGraph:
2370
2371 /** \brief Get the number of edges in this graph (convenience function,
2372 boost::graph API provides the free function <tt>boost::num_edges(graph)</tt>).
2373 */
2374 edges_size_type num_edges() const
2375 {
2376 return num_edges_;
2377 }
2378
2379 /** \brief Get the number of edges in this graph (API: LEMON).
2380 */
2381 edges_size_type edgeNum() const
2382 {
2383 return num_edges();
2384 }
2385
2386 /** \brief Get the number of arc in this graph (API: LEMON).
2387 */
2388 edges_size_type arcNum() const
2389 {
2390 return is_directed
2391 ? num_edges()
2392 : 2*num_edges();
2393 }
2394
2395 /** \brief Get edge iterator pointing to the first edge of the graph (convenience function,<br/>
2396 the boost::graph API provides the free function <tt>boost::edges(graph)</tt>,<br/>
2397 LEMON uses <tt>Graph::EdgeIt(graph)</tt>).
2398 */
2399 edge_iterator get_edge_iterator() const
2400 {
2401 return edge_iterator(*this);
2402 }
2403
2404 /** \brief Get edge iterator pointing beyond the valid range of edges of this graph (convenience function,<br/>
2405 the boost::graph API provides the free function <tt>boost::vertices(graph)</tt>,<br/>
2406 LEMON uses the special value <tt>lemon::INVALID</tt> instead).
2407 */
2408 edge_iterator get_edge_end_iterator() const
2409 {
2410 return get_edge_iterator().getEndIterator();
2411 }
2412
2413 // --------------------------------------------------
2414 // support for AdjacencyMatrix concept:
2415
2416 /** \brief Get a descriptor for the edge connecting vertices \a u and \a v,<br/>
2417 or <tt>(lemon::INVALID, false)</tt> if no such edge exists (convenience function,<br/>
2418 the boost::graph API provides the free function <tt>boost::edge(u, v, graph)</tt>).
2419 */
2420 std::pair<edge_descriptor, bool>
2421 edge(vertex_descriptor const & u, vertex_descriptor const & v) const
2422 {
2423 std::pair<edge_descriptor, bool> res(lemon::INVALID, false);
2424
2425 neighbor_vertex_iterator i = get_neighbor_vertex_iterator(u),
2426 end = i.getEndIterator();
2427 for (; i != end; ++i)
2428 {
2429 if (*i == v)
2430 {
2431 res.first = make_edge_descriptor(u, i.neighborIndex());
2432 res.second = true;
2433 break;
2434 }
2435 }
2436 return res;
2437 }
2438
2439 /** \brief Get a descriptor for the edge connecting vertices \a u and \a v,<br/>or <tt>lemon::INVALID</tt> if no such edge exists (API: LEMON).
2440 */
2441 Edge findEdge(Node const & u, Node const & v, Edge const & = lemon::INVALID) const
2442 {
2443 return this->edge(u, v).first;
2444 }
2445
2446 /** \brief Get a descriptor for the arc connecting vertices \a u and \a v,<br/>or <tt>lemon::INVALID</tt> if no such edge exists (API: LEMON).
2447 */
2448 Arc findArc(Node const & u, Node const & v, Arc const & = lemon::INVALID) const
2449 {
2450 return this->edge(u, v).first;
2451 // std::pair<edge_descriptor, bool> res(edge(u, v));
2452 // return res.second
2453 // ? res.first
2454 // : Arc(lemon::INVALID);
2455 }
2456
2457 /** \brief Create a property map that returns the coordinate of each node (API: LEMON GridGraph).
2458 */
2459 IndexMap indexMap() const
2460 {
2461 return IndexMap();
2462 }
2463
2464 // --------------------------------------------------
2465 // other helper functions:
2466
2467 bool isDirected() const
2468 {
2469 return is_directed;
2470 }
2471
2472 degree_size_type maxDegree() const
2473 {
2474 return (degree_size_type)neighborOffsets_.size();
2475 }
2476
2477 degree_size_type maxUniqueDegree() const
2478 {
2479 return is_directed
2480 ? maxDegree()
2481 : maxDegree() / 2;
2482 }
2483
2484 shape_type const & shape() const
2485 {
2486 return shape_;
2487 }
2488
2489 edge_propmap_shape_type edge_propmap_shape() const
2490 {
2491 edge_propmap_shape_type res(SkipInitialization);
2492 res.template subarray<0, N>() = shape_;
2493 res[N] = maxUniqueDegree();
2494 return res;
2495 }
2496
2497 edge_propmap_shape_type arc_propmap_shape() const
2498 {
2499 edge_propmap_shape_type res(SkipInitialization);
2500 res.template subarray<0, N>() = shape_;
2501 res[N] = maxDegree();
2502 return res;
2503 }
2504
2505 unsigned int get_border_type(vertex_descriptor const & v) const
2506 {
2507 return detail::BorderTypeImpl<N>::exec(v, shape_);
2508 }
2509
2510 unsigned int get_border_type(vertex_iterator const & v) const
2511 {
2512 return v.borderType();
2513 }
2514
2515 index_type oppositeIndex(index_type neighborIndex) const
2516 {
2517 return maxDegree() - neighborIndex - 1;
2518 }
2519
2520 /* the given neighborIndex must be valid for the given vertex,
2521 otherwise this function will crash
2522 */
2523 edge_descriptor make_edge_descriptor(vertex_descriptor const & v,
2524 index_type neighborIndex) const
2525 {
2526 if(neighborIndex < maxUniqueDegree())
2527 return edge_descriptor(v, neighborIndex, false);
2528 else
2529 return edge_descriptor(neighbor(v, neighborIndex), oppositeIndex(neighborIndex), true);
2530 }
2531
2532 shape_type const & neighborOffset(index_type neighborIndex) const
2533 {
2534 return neighborOffsets_[neighborIndex];
2535 }
2536
2537 vertex_descriptor neighbor(vertex_descriptor const & v, index_type neighborIndex) const
2538 {
2539 return v + neighborOffsets_[neighborIndex];
2540 }
2541
2542 vertex_descriptor
2543 source_or_target(edge_descriptor const & e, bool return_source) const
2544 {
2545 // source is always the attached node (first coords) unless the
2546 // edge has been reversed.
2547 if ((return_source && e.isReversed()) ||
2548 (!return_source && !e.isReversed()))
2549 {
2550 return neighbor(e.vertexDescriptor(), e.edgeIndex());
2551 }
2552 else
2553 {
2554 return e.vertexDescriptor();
2555 }
2556 }
2557
2558 NeighborOffsetArray const * neighborOffsetArray() const
2559 {
2560 return &neighborOffsets_;
2561 }
2562
2563 RelativeNeighborOffsetsArray const * neighborIncrementArray() const
2564 {
2565 return &incrementalOffsets_;
2566 }
2567
2568 RelativeEdgeOffsetsArray const * edgeIncrementArray() const
2569 {
2570 return &edgeDescriptorOffsets_;
2571 }
2572
2573 IndexArray const * neighborIndexArray(bool backEdgesOnly) const
2574 {
2575 return backEdgesOnly
2576 ? &backIndices_
2577 : &neighborIndices_;
2578 }
2579
2580 protected:
2581 NeighborOffsetArray neighborOffsets_;
2582 IndexArray neighborIndices_, backIndices_;
2583 RelativeNeighborOffsetsArray incrementalOffsets_;
2584 RelativeEdgeOffsetsArray edgeDescriptorOffsets_;
2585 shape_type shape_;
2586 MultiArrayIndex num_vertices_, num_edges_;
2587 NeighborhoodType neighborhoodType_;
2588 };
2589
2590 //@}
2591
2592 } // namespace vigra
2593
2594 namespace boost {
2595
2596 /** \addtogroup BoostGraphExtensions GridGraph additions to namespace <tt>boost</tt>
2597
2598 provides the required functionality to make \ref vigra::GridGraph compatible to the boost::graph library.
2599 */
2600 //@{
2601
2602
2603
2604 template <unsigned int N, class T, class Acc>
2605 struct property_traits<vigra::MultiArray<N, T, Acc> >
2606 {
2607 typedef vigra::MultiArray<N, T, Acc> type;
2608 typedef typename type::key_type key_type;
2609 typedef typename type::value_type value_type;
2610 typedef typename type::reference reference;
2611 typedef boost::read_write_property_map_tag category;
2612 };
2613
2614 template <unsigned int N, class T, class Acc>
2615 struct property_traits<vigra::MultiArray<N, T, Acc> const>
2616 {
2617 typedef vigra::MultiArray<N, T, Acc> const type;
2618 typedef typename type::key_type key_type;
2619 typedef typename type::value_type value_type;
2620 typedef typename type::const_reference reference;
2621 typedef boost::readable_property_map_tag category;
2622 };
2623
2624 template <unsigned int N, class T, class Stride>
2625 struct property_traits<vigra::MultiArrayView<N, T, Stride> >
2626 {
2627 typedef vigra::MultiArrayView<N, T, Stride> type;
2628 typedef typename type::key_type key_type;
2629 typedef typename type::value_type value_type;
2630 typedef typename type::reference reference;
2631 typedef boost::read_write_property_map_tag category;
2632 };
2633
2634 template <unsigned int N, class T, class Stride>
2635 struct property_traits<vigra::MultiArrayView<N, T, Stride> const>
2636 {
2637 typedef vigra::MultiArrayView<N, T, Stride> const type;
2638 typedef typename type::key_type key_type;
2639 typedef typename type::value_type value_type;
2640 typedef typename type::const_reference reference;
2641 typedef boost::readable_property_map_tag category;
2642 };
2643
2644 /** \brief Return number of outgoing edges of vertex \a v (API: boost).
2645 */
2646 template<unsigned int N, class DirectedTag>
2647 inline
2648 typename vigra::GridGraph<N, DirectedTag>::degree_size_type
2649 out_degree(typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor const & v,
2650 vigra::GridGraph<N, DirectedTag> const & g)
2651 {
2652 return g.out_degree(v);
2653 }
2654
2655 /** \brief Return number of incoming edges of vertex \a v (API: boost).
2656 */
2657 template<unsigned int N, class DirectedTag>
2658 inline
2659 typename vigra::GridGraph<N, DirectedTag>::degree_size_type
2660 in_degree(typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor const & v,
2661 vigra::GridGraph<N, DirectedTag> const & g)
2662 {
2663 return g.in_degree(v);
2664 }
2665
2666 /** \brief Return total number of edges (incoming and outgoing) of vertex \a v (API: boost).
2667 */
2668 template<unsigned int N, class DirectedTag>
2669 inline
2670 typename vigra::GridGraph<N, DirectedTag>::degree_size_type
2671 degree(typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor const & v,
2672 vigra::GridGraph<N, DirectedTag> const & g)
2673 {
2674 return g.degree(v);
2675 }
2676
2677 /** \brief Get a (begin, end) iterator pair for the vertices of graph \a g (API: boost).
2678 */
2679 template<unsigned int N, class DirectedTag>
2680 inline
2681 std::pair<typename vigra::GridGraph<N, DirectedTag>::vertex_iterator,
2682 typename vigra::GridGraph<N, DirectedTag>::vertex_iterator>
2683 vertices(vigra::GridGraph<N, DirectedTag> const & g)
2684 {
2685 return std::make_pair(g.get_vertex_iterator(),
2686 g.get_vertex_end_iterator());
2687 }
2688
2689 /** \brief Return the number of vertices in graph \a g (API: boost).
2690 */
2691 template<unsigned int N, class DirectedTag>
2692 inline
2693 typename vigra::GridGraph<N, DirectedTag>::vertices_size_type
2694 num_vertices(vigra::GridGraph<N, DirectedTag> const & g)
2695 {
2696 return g.num_vertices();
2697 }
2698
2699 /** \brief Get a (begin, end) iterator pair for the neighbor vertices of
2700 vertex \a v in graph \a g (API: boost).
2701 */
2702 template<unsigned int N, class DirectedTag>
2703 inline
2704 std::pair<typename vigra::GridGraph<N, DirectedTag>::adjacency_iterator,
2705 typename vigra::GridGraph<N, DirectedTag>::adjacency_iterator>
2706 adjacent_vertices(typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor const & v,
2707 vigra::GridGraph<N, DirectedTag> const & g)
2708 {
2709 return std::make_pair(g.get_neighbor_vertex_iterator(v),
2710 g.get_neighbor_vertex_end_iterator(v));
2711 }
2712
2713 /** \brief Get a (begin, end) iterator pair for only thise neighbor vertices of
2714 vertex \a v that have smaller ID than \a v (API: VIGRA).
2715 */
2716 template<unsigned int N, class DirectedTag>
2717 inline
2718 std::pair<typename vigra::GridGraph<N, DirectedTag>::back_neighbor_vertex_iterator,
2719 typename vigra::GridGraph<N, DirectedTag>::back_neighbor_vertex_iterator>
2720 back_adjacent_vertices(typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor const & v,
2721 vigra::GridGraph<N, DirectedTag> const & g)
2722 {
2723 return std::make_pair(g.get_back_neighbor_vertex_iterator(v),
2724 g.get_back_neighbor_vertex_end_iterator(v));
2725 }
2726
2727 // adjacent_vertices variant in vigra namespace: allows to call adjacent_vertices with vertex_iterator argument
2728 template<unsigned int N, class DirectedTag>
2729 inline
2730 std::pair<typename vigra::GridGraph<N, DirectedTag>::adjacency_iterator,
2731 typename vigra::GridGraph<N, DirectedTag>::adjacency_iterator>
2732 adjacent_vertices_at_iterator(typename vigra::GridGraph<N, DirectedTag>::vertex_iterator const & v,
2733 vigra::GridGraph<N, DirectedTag> const & g)
2734 {
2735 return std::make_pair(g.get_neighbor_vertex_iterator(v),
2736 g.get_neighbor_vertex_end_iterator(v));
2737 }
2738
2739 /** \brief Get a (begin, end) iterator pair for the outgoing edges of
2740 vertex \a v in graph \a g (API: boost).
2741 */
2742 template<unsigned int N, class DirectedTag>
2743 inline
2744 std::pair<typename vigra::GridGraph<N, DirectedTag>::out_edge_iterator,
2745 typename vigra::GridGraph<N, DirectedTag>::out_edge_iterator>
2746 out_edges(typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor const & v,
2747 vigra::GridGraph<N, DirectedTag> const & g)
2748 {
2749 return std::make_pair(g.get_out_edge_iterator(v),
2750 g.get_out_edge_end_iterator(v));
2751 }
2752
2753 /** \brief Get a (begin, end) iterator pair for only those outgoing edges of
2754 vertex \a v whose ID is smaller than that of \a v (API: VIGRA).
2755 */
2756 template<unsigned int N, class DirectedTag>
2757 inline
2758 std::pair<typename vigra::GridGraph<N, DirectedTag>::out_back_edge_iterator,
2759 typename vigra::GridGraph<N, DirectedTag>::out_back_edge_iterator>
2760 out_back_edges(typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor const & v,
2761 vigra::GridGraph<N, DirectedTag> const & g)
2762 {
2763 return std::make_pair(g.get_out_back_edge_iterator(v),
2764 g.get_out_back_edge_end_iterator(v));
2765 }
2766
2767 /** \brief Get a (begin, end) iterator pair for the incoming edges of
2768 vertex \a v in graph \a g (API: boost).
2769 */
2770 template<unsigned int N, class DirectedTag>
2771 inline
2772 std::pair<typename vigra::GridGraph<N, DirectedTag>::in_edge_iterator,
2773 typename vigra::GridGraph<N, DirectedTag>::in_edge_iterator>
2774 in_edges(typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor const & v,
2775 vigra::GridGraph<N, DirectedTag> const & g)
2776 {
2777 return std::make_pair(g.get_in_edge_iterator(v),
2778 g.get_in_edge_end_iterator(v));
2779 }
2780
2781 /** \brief Get a vertex descriptor for the start vertex of edge \a e in graph \a g (API: boost).
2782 */
2783 template<unsigned int N, class DirectedTag>
2784 inline
2785 typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor
2786 source(typename vigra::GridGraph<N, DirectedTag>::edge_descriptor const & e,
2787 vigra::GridGraph<N, DirectedTag> const & g)
2788 {
2789 return g.source(e);
2790 }
2791
2792 /** \brief Get a vertex descriptor for the end vertex of edge \a e in graph \a g (API: boost).
2793 */
2794 template<unsigned int N, class DirectedTag>
2795 inline
2796 typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor
2797 target(typename vigra::GridGraph<N, DirectedTag>::edge_descriptor const & e,
2798 vigra::GridGraph<N, DirectedTag> const & g)
2799 {
2800 return g.target(e);
2801 }
2802
2803 /** \brief Get a (begin, end) iterator pair for the edges of graph \a g (API: boost).
2804 */
2805 template<unsigned int N, class DirectedTag>
2806 inline
2807 std::pair<typename vigra::GridGraph<N, DirectedTag>::edge_iterator,
2808 typename vigra::GridGraph<N, DirectedTag>::edge_iterator>
2809 edges(vigra::GridGraph<N, DirectedTag> const & g)
2810 {
2811 return std::make_pair(g.get_edge_iterator(), g.get_edge_end_iterator());
2812 }
2813
2814 /** \brief Return the number of edges in graph \a g (API: boost).
2815 */
2816 template<unsigned int N, class DirectedTag>
2817 inline
2818 typename vigra::GridGraph<N, DirectedTag>::edges_size_type
2819 num_edges(vigra::GridGraph<N, DirectedTag> const & g)
2820 {
2821 return g.num_edges();
2822 }
2823
2824 // --------------------------------------------------
2825 // support for AdjacencyMatrix concept:
2826
2827 // FIXME: test this
2828 /** \brief Return the pair (edge_descriptor, true) when an edge between vertices
2829 \a u and \a v exists, or (lemon::INVALID, false) otherwise (API: boost).
2830 */
2831 template<unsigned int N, class DirectedTag>
2832 std::pair<typename vigra::GridGraph<N, DirectedTag>::edge_descriptor, bool>
2833 edge(typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor const & u,
2834 typename vigra::GridGraph<N, DirectedTag>::vertex_descriptor const & v,
2835 vigra::GridGraph<N, DirectedTag> const & g)
2836 {
2837 return g.edge(u,v);
2838 }
2839
2840 // provide get / put for MultiArrayViews, indexed by the
2841 // above-defined vertex_descriptor and edge_descriptor (in our case, a coordinate tuple):
2842 // FIXME: place this into multi_array.hxx ?
2843 /** \brief Put value \a val at key \a k in the property map \a pmap (API: boost).
2844 */
2845 template<unsigned int N, class T, class Stride, class U>
2846 inline
2847 void put(vigra::MultiArrayView<N, T, Stride> & pmap,
2848 typename vigra::MultiArrayView<N, T, Stride>::difference_type const & k,
2849 U const & val)
2850 {
2851 pmap[k] = val;
2852 }
2853
2854 /** \brief Read the value at key \a k in property map \a pmap (API: boost).
2855 */
2856 template<unsigned int N, class T, class Stride>
2857 inline
2858 typename vigra::MultiArrayView<N, T, Stride>::const_reference
2859 get(vigra::MultiArrayView<N, T, Stride> const & pmap,
2860 typename vigra::MultiArrayView<N, T, Stride>::difference_type const & k)
2861 {
2862 return pmap[k];
2863 }
2864
2865 #if 0
2866
2867 // property map support for mapping coordinates to scan-order indices:
2868
2869 template<unsigned int N>
2870 struct IDMapper {
2871 typedef typename vigra::GridGraph<N> graph_type;
2872 typedef boost::readable_property_map_tag category;
2873 typedef typename graph_type::index_type value_type;
2874 typedef typename graph_type::vertex_descriptor key_type;
2875 typedef const value_type& reference;
2876
2877
2878 IDMapper(const graph_type &graph)
2879 : map_helper(graph.get_vertex_iterator())
2880 {}
2881
2882 typename graph_type::vertex_iterator map_helper;
2883 };
2884
2885 template<unsigned int N>
2886 struct property_map<vigra::GridGraph<N>, boost::vertex_index_t>
2887 {
2888 typedef IDMapper<N> type;
2889 typedef IDMapper<N> const_type;
2890 };
2891
2892
2893 template<unsigned int N>
2894 inline
2895 typename IDMapper<N>::value_type
2896 get(const IDMapper<N> & mapper,
2897 const typename IDMapper<N>::key_type &k)
2898 {
2899 return (mapper.map_helper + k).scanOrderIndex();
2900 }
2901
2902
2903 template<unsigned int N>
2904 typename boost::property_map<vigra::GridGraph<N>, boost::vertex_index_t>::type
2905 //typename IDMapper<N>
2906 get(boost::vertex_index_t, const vigra::GridGraph<N> &graph) {
2907 // return a lightweight wrapper for the CoupledIterator, which easily allows the conversion of
2908 // coordinates via its += operator followed by index().
2909 return IDMapper<N>(graph);
2910 }
2911
2912 // CHECK if required: also provide the direct (three-parameter) version for index lookup
2913 template<unsigned int N>
2914 typename vigra::GridGraph<N>::vertices_size_type
2915 get(boost::vertex_index_t,
2916 const vigra::GridGraph<N> &graph,
2917 const typename vigra::GridGraph<N>::vertex_descriptor &v) {
2918 return (IDMapper<N>(graph).map_helper + v).scanOrderIndex();
2919 }
2920
2921
2922 // TODO:
2923 // eventually provide an edge_index property map as well?
2924 // (edge_descriptor -> linear contiguous edge index)
2925
2926 #endif
2927
2928 //@}
2929
2930 } // namespace boost
2931
2932 namespace lemon {
2933
2934 template <typename GR>
2935 class InDegMap;
2936
2937 // LEMON-compatible property map for the in-degree of the nodes
2938 template<unsigned int N, class DirectedTag>
2939 class InDegMap<vigra::GridGraph<N, DirectedTag> >
2940 : public vigra::GridGraph<N, DirectedTag>::InDegMap
2941 {
2942 public:
2943 typedef vigra::GridGraph<N, DirectedTag> Graph;
2944
2945 explicit InDegMap(const Graph& graph)
2946 : Graph::InDegMap(graph)
2947 {}
2948 };
2949
2950 template <typename GR>
2951 class OutDegMap;
2952
2953 // LEMON-compatible property map for the out-degree of the nodes
2954 template<unsigned int N, class DirectedTag>
2955 class OutDegMap<vigra::GridGraph<N, DirectedTag> >
2956 : public vigra::GridGraph<N, DirectedTag>::OutDegMap
2957 {
2958 public:
2959 typedef vigra::GridGraph<N, DirectedTag> Graph;
2960
2961 explicit OutDegMap(const Graph& graph)
2962 : Graph::OutDegMap(graph)
2963 {}
2964 };
2965
2966
2967 } // namespace lemon
2968
2969 namespace vigra {
2970 namespace boost_graph {
2971
2972 using boost::get;
2973
2974 }} // namespace vigra::boost_graph
2975
2976
2977 namespace std {
2978
2979 template<unsigned int N, class DirectedTag>
2980 ostream& operator<<(ostream& out,
2981 typename vigra::GridGraph<N, DirectedTag>::vertex_iterator const & arg)
2982 {
2983 out << "v" << arg.scanOrderIndex();
2984 return out;
2985 }
2986
2987 template<unsigned int N, class DirectedTag>
2988 ostream& operator<<(ostream& out,
2989 typename vigra::GridGraph<N, DirectedTag>::adjacency_iterator const & arg)
2990 {
2991 out << "nb" << arg.index();
2992 return out;
2993 }
2994
2995 } // namespace std
2996
2997
2998
2999 #endif /* VIGRA_MULTI_GRIDGRAPH_HXX */
3000
3001
3002
boost::put
void put(vigra::MultiArrayView< N, T, Stride > &pmap, typename vigra::MultiArrayView< N, T, Stride >::difference_type const &k, U const &val)
Put value val at key k in the property map pmap (API: boost).
Definition: multi_gridgraph.hxx:2847
vigra::GridGraph::maxEdgeId
index_type maxEdgeId() const
Get the maximum ID of any edge in this graph (API: LEMON).
Definition: multi_gridgraph.hxx:2056
vigra::GridGraph::NodeMap::NodeMap
NodeMap(GridGraph const &g, T const &t)
Construct property map for the given graph g (preallocates an entry with initial value t for each nod...
Definition: multi_gridgraph.hxx:1582
vigra::GridGraph::get_out_back_edge_end_iterator
out_back_edge_iterator get_out_back_edge_end_iterator(vertex_descriptor const &v) const
Get an iterator pointing beyond the range of outgoing backward edges of the given vertex (API: VIGRA...
Definition: multi_gridgraph.hxx:2301
vigra::GridGraph::baseNode
Node baseNode(IncBackEdgeIt const &e) const
Return the start node of the edge the given iterator is referring to (API: VIGRA).
Definition: multi_gridgraph.hxx:2193
vigra::GridGraph::Node
vertex_descriptor Node
The Node descriptor (API: LEMON).
Definition: multi_gridgraph.hxx:1494
vigra::GridGraph::EdgeMap::EdgeMap
EdgeMap(difference_type const &shape, T const &t)
Construct property map for the given shape (preallocates an entry with initial value t for each edge ...
Definition: multi_gridgraph.hxx:1686
vigra::MultiArrayView::const_reference
const value_type & const_reference
Definition: multi_array.hxx:678
vigra::GridGraph::shape_type
MultiArrayShape< N >::type shape_type
Shape type of the graph and a node property map.
Definition: multi_gridgraph.hxx:1378
vigra::GridGraph::target
Node target(Arc const &a) const
Get the end node of the given arc a (API: LEMON).
Definition: multi_gridgraph.hxx:2249
vigra::GridGraph::arcFromId
Arc arcFromId(index_type i) const
Get an arc descriptor for the given arc ID i (API: LEMON).
Definition: multi_gridgraph.hxx:2092
boost::in_edges
std::pair< typename vigra::GridGraph< N, DirectedTag >::in_edge_iterator, typename vigra::GridGraph< N, DirectedTag >::in_edge_iterator > in_edges(typename vigra::GridGraph< N, DirectedTag >::vertex_descriptor const &v, vigra::GridGraph< N, DirectedTag > const &g)
Get a (begin, end) iterator pair for the incoming edges of vertex v in graph g (API: boost)...
Definition: multi_gridgraph.hxx:2774
vigra::GridGraph::edge_propmap_shape_type
MultiArrayShape< N+1 >::type edge_propmap_shape_type
Shape type of an edge property map (must have one additional dimension).
Definition: multi_gridgraph.hxx:1382
vigra::GridGraph
Define a grid graph in arbitrary dimensions.
Definition: multi_gridgraph.hxx:1365
boost::source
vigra::GridGraph< N, DirectedTag >::vertex_descriptor source(typename vigra::GridGraph< N, DirectedTag >::edge_descriptor const &e, vigra::GridGraph< N, DirectedTag > const &g)
Get a vertex descriptor for the start vertex of edge e in graph g (API: boost).
Definition: multi_gridgraph.hxx:2786
vigra::GridGraph::InDegMap::Graph
GridGraph Graph
The graph type of InDegMap (works for directed and undirected graphs)
Definition: multi_gridgraph.hxx:1802
vigra::GridGraph::neighbor_vertex_iterator
adjacency_iterator neighbor_vertex_iterator
Same as adjacency_iterator (API: VIGRA).
Definition: multi_gridgraph.hxx:1415
vigra::GridGraph::get_out_edge_iterator
out_edge_iterator get_out_edge_iterator(vertex_descriptor const &v) const
Get an iterator pointing to the first outgoing edge of the given vertex (convenience function...
Definition: multi_gridgraph.hxx:2274
vigra::GridGraph::OutDegMap::operator[]
Value operator[](const Key &key) const
Get the out-degree of the node descriptor key.
Definition: multi_gridgraph.hxx:1853
boost::adjacent_vertices
std::pair< typename vigra::GridGraph< N, DirectedTag >::adjacency_iterator, typename vigra::GridGraph< N, DirectedTag >::adjacency_iterator > adjacent_vertices(typename vigra::GridGraph< N, DirectedTag >::vertex_descriptor const &v, vigra::GridGraph< N, DirectedTag > const &g)
Get a (begin, end) iterator pair for the neighbor vertices of vertex v in graph g (API: boost)...
Definition: multi_gridgraph.hxx:2706
vigra::GridGraph::IncBackEdgeIt
GridGraphOutEdgeIterator< N, true > IncBackEdgeIt
Iterator over only those incident edges of a node that end in a node with smaller ID (API: VIGRA)...
Definition: multi_gridgraph.hxx:1532
boost
Definition: graphs.hxx:57
vigra::MultiArrayView::difference_type
MultiArrayShape< actual_dimension >::type difference_type
Definition: multi_array.hxx:690
vigra::GridGraph::runningNode
Node runningNode(IncBackEdgeIt const &e) const
Return the end node of the edge the given iterator is referring to (API: VIGRA).
Definition: multi_gridgraph.hxx:2221
vigra::GridGraph::baseNode
Node baseNode(IncEdgeIt const &e) const
Return the start node of the edge the given iterator is referring to (API: LEMON).
Definition: multi_gridgraph.hxx:2186
vigra::GridGraph::get_back_neighbor_vertex_end_iterator
back_neighbor_vertex_iterator get_back_neighbor_vertex_end_iterator(vertex_descriptor const &v) const
Get an iterator pointing beyond the range of backward neighbors of the given vertex (API: VIGRA...
Definition: multi_gridgraph.hxx:1996
vigra::arg
R arg(const FFTWComplex< R > &a)
pahse
Definition: fftw3.hxx:1009
vigra::GridGraph::out_edge_iterator
GridGraphOutArcIterator< N > out_edge_iterator
Iterator over the outgoing edges of a given vertex (API: boost::graph, use via boost::graph_traits<Gr...
Definition: multi_gridgraph.hxx:1430
vigra::GridGraph::get_in_edge_end_iterator
in_edge_iterator get_in_edge_end_iterator(vertex_descriptor const &v) const
Get an iterator pointing beyond the range of incoming edges of the given vertex (convenience function...
Definition: multi_gridgraph.hxx:2319
vigra::GridGraph::back_degree
degree_size_type back_degree(vertex_descriptor const &v) const
Get the number of outgoing backward edges of the given vertex (API: VIGRA).
Definition: multi_gridgraph.hxx:2335
vigra::GridGraph::vertex_property_type
boost::no_property vertex_property_type
The graph does not define internal property maps (API: boost::graph, use via boost::graph_traits<Grap...
Definition: multi_gridgraph.hxx:1466
vigra::GridGraph::vertex_iterator
MultiCoordinateIterator< N > vertex_iterator
Iterator over the vertices of the graph (API: boost::graph, use via boost::graph_traits<Graph>::verte...
Definition: multi_gridgraph.hxx:1406
vigra::GridGraph::OutArcIt
GridGraphOutArcIterator< N > OutArcIt
Iterator over the outgoing edges of a node (API: LEMON).
Definition: multi_gridgraph.hxx:1506
vigra::GridGraph::runningNode
Node runningNode(IncEdgeIt const &e) const
Return the end node of the edge the given iterator is referring to (API: LEMON).
Definition: multi_gridgraph.hxx:2214
vigra::GridGraph::NodeIt
vertex_iterator NodeIt
Iterator over all nodes of the graph (API: LEMON).
Definition: multi_gridgraph.hxx:1498
vigra::GridGraph::back_neighbor_vertex_iterator
GridGraphNeighborIterator< N, true > back_neighbor_vertex_iterator
Iterator over only those neighbor vertices of a given vertex that have smaller ID (API: VIGRA)...
Definition: multi_gridgraph.hxx:1420
vigra::GridGraph::nodeFromId
Node nodeFromId(index_type i) const
Get node descriptor for given node ID i (API: LEMON).
Definition: multi_gridgraph.hxx:1919
vigra::GridGraph::baseNode
Node baseNode(OutArcIt const &a) const
Return the start node of the edge the given iterator is referring to (API: LEMON).
Definition: multi_gridgraph.hxx:2200
vigra::GridGraph::maxNodeId
index_type maxNodeId() const
Get the maximum ID of any node in this graph (API: LEMON).
Definition: multi_gridgraph.hxx:1928
vigra::GridGraph::IndexMap::IndexMap
IndexMap(const GridGraph &)
Construct property map for the given graph.
Definition: multi_gridgraph.hxx:1784
vigra::GridGraph::edge_descriptor
GridGraphArcDescriptor< N > edge_descriptor
The edge descriptor (API: boost::graph, use via boost::graph_traits<Graph>::edge_descriptor).
Definition: multi_gridgraph.hxx:1450
boost::num_edges
vigra::GridGraph< N, DirectedTag >::edges_size_type num_edges(vigra::GridGraph< N, DirectedTag > const &g)
Return the number of edges in graph g (API: boost).
Definition: multi_gridgraph.hxx:2819
std
Definition: array_vector.hxx:903
vigra::GridGraph::findEdge
Edge findEdge(Node const &u, Node const &v, Edge const &=lemon::INVALID) const
Get a descriptor for the edge connecting vertices u and v, or lemon::INVALID if no such edge exists (...
Definition: multi_gridgraph.hxx:2441
vigra::GridGraph::id
index_type id(Arc const &a) const
Get the ID (i.e. scan-order index an an arc property map) for the given ar a (API: LEMON)...
Definition: multi_gridgraph.hxx:2070
vigra::GridGraph::traversal_category
Define several graph tags related to graph traversal (API: boost::graph, use via boost::graph_traits<...
Definition: multi_gridgraph.hxx:1473
vigra::GridGraph::get_neighbor_vertex_iterator
neighbor_vertex_iterator get_neighbor_vertex_iterator(vertex_descriptor const &v) const
Get an iterator pointing to the first neighbor of the given vertex (convenience function, the boost::graph API provides the free function boost::adjacent_vertices(v, graph), LEMON uses Graph::ArcIt(g, v)).
Definition: multi_gridgraph.hxx:1969
vigra::MultiArray
Main MultiArray class containing the memory management.
Definition: multi_array.hxx:2357
vigra::GridGraph::edge_parallel_category
boost::disallow_parallel_edge_tag edge_parallel_category
The graph does not allow multiple edges between the same vertices (API: boost::graph, use via boost::graph_traits<Graph>::edge_parallel_category).
Definition: multi_gridgraph.hxx:1461
vigra::GridGraph::direct
Arc direct(Edge const &e, bool forward) const
Create an arc for the given edge e, oriented along the edge&#39;s natural (forward = true) or reversed (f...
Definition: multi_gridgraph.hxx:2123
vigra::GridGraph::runningNode
Node runningNode(OutArcIt const &a) const
Return the end node of the edge the given iterator is referring to (API: LEMON).
Definition: multi_gridgraph.hxx:2228
vigra::GridGraph::InDegMap::operator[]
Value operator[](const Key &key) const
Get the in-degree of the node descriptor key.
Definition: multi_gridgraph.hxx:1819
vigra::GridGraph::InArcIt
GridGraphInArcIterator< N > InArcIt
Iterator over the incoming arcs of a node (API: LEMON).
Definition: multi_gridgraph.hxx:1519
boost::edge
std::pair< typename vigra::GridGraph< N, DirectedTag >::edge_descriptor, bool > edge(typename vigra::GridGraph< N, DirectedTag >::vertex_descriptor const &u, typename vigra::GridGraph< N, DirectedTag >::vertex_descriptor const &v, vigra::GridGraph< N, DirectedTag > const &g)
Return the pair (edge_descriptor, true) when an edge between vertices u and v exists, or (lemon::INVALID, false) otherwise (API: boost).
Definition: multi_gridgraph.hxx:2833
vigra::GridGraph::num_vertices
vertices_size_type num_vertices() const
Get the number of vertices in this graph (convenience function, the boost::graph API provides the fre...
Definition: multi_gridgraph.hxx:2007
vigra::GridGraph::vertices_size_type
MultiArrayIndex vertices_size_type
Type to specify number of vertices (API: boost::graph, use via boost::graph_traits<Graph>::vertices_s...
Definition: multi_gridgraph.hxx:1391
vigra::GridGraph::IndexMap
Type of a property map that returns the coordinate of a given node (API: LEMON).
Definition: multi_gridgraph.hxx:1769
vigra::GridGraph::directed_category
DirectedTag directed_category
Is the graph directed or undirected ? (API: boost::graph, use via boost::graph_traits<Graph>::directe...
Definition: multi_gridgraph.hxx:1455
vigra::GridGraph::EdgeMap
Type of an edge property map that maps edge descriptor objects onto property values of type T (API: L...
Definition: multi_gridgraph.hxx:1638
vigra::GridGraph::OutDegMap::OutDegMap
OutDegMap(const GridGraph &graph)
Construct property map for the given graph.
Definition: multi_gridgraph.hxx:1847
vigra::MultiArrayIndex
std::ptrdiff_t MultiArrayIndex
Definition: multi_shape.hxx:55
boost::back_adjacent_vertices
std::pair< typename vigra::GridGraph< N, DirectedTag >::back_neighbor_vertex_iterator, typename vigra::GridGraph< N, DirectedTag >::back_neighbor_vertex_iterator > back_adjacent_vertices(typename vigra::GridGraph< N, DirectedTag >::vertex_descriptor const &v, vigra::GridGraph< N, DirectedTag > const &g)
Get a (begin, end) iterator pair for only thise neighbor vertices of vertex v that have smaller ID th...
Definition: multi_gridgraph.hxx:2720
vigra::GridGraph::IndexMap::operator[]
Value const & operator[](Key const &key) const
Get the grid coordinate of the node descriptor key.
Definition: multi_gridgraph.hxx:1789
vigra::GridGraph::id
index_type id(Edge const &e) const
Get the ID (i.e. scan-order index in an edge property map) for the given edges descriptor e (API: LEM...
Definition: multi_gridgraph.hxx:2025
vigra
Definition: accessor.hxx:43
vigra::GridGraph::v
Node v(Edge const &e) const
Get the end node of the given edge e (API: LEMON, the boost::graph API provides the free function bo...
Definition: multi_gridgraph.hxx:2265
vigra::GridGraph::arcNum
edges_size_type arcNum() const
Get the number of arc in this graph (API: LEMON).
Definition: multi_gridgraph.hxx:2388
vigra::GridGraph::NodeMap::NodeMap
NodeMap(difference_type const &shape)
Construct property map for the given shape. (preallocates a zero-initialized entry for each node of a...
Definition: multi_gridgraph.hxx:1590
vigra::MultiArray< N, T >::difference_type
view_type::difference_type difference_type
Definition: multi_array.hxx:2405
vigra::GridGraph::degree
degree_size_type degree(vertex_descriptor const &v) const
Get the total number of edges (incoming plus outgoing) of the given vertex (convenience function...
Definition: multi_gridgraph.hxx:2361
vigra::GridGraph::degree_size_type
MultiArrayIndex degree_size_type
Type to specify number of neighbors (API: boost::graph, use via boost::graph_traits<Graph>::degree_si...
Definition: multi_gridgraph.hxx:1401
vigra::GridGraph::NodeMap::NodeMap
NodeMap(difference_type const &shape, T const &t)
Construct property map for the given shape. (preallocates an entry with initial value t for each node...
Definition: multi_gridgraph.hxx:1598
lemon
Definition: graphs.hxx:226
vigra::TinyVector::operator=
TinyVector & operator=(TinyVector const &r)
Definition: tinyvector.hxx:1076
vigra::GridGraph::get_edge_iterator
edge_iterator get_edge_iterator() const
Get edge iterator pointing to the first edge of the graph (convenience function, the boost::graph AP...
Definition: multi_gridgraph.hxx:2399
vigra::GridGraph::direct
Arc direct(Edge const &e, Node const &n) const
Create an arc for the given edge e oriented so that node n is the starting node of the arc (API: LEMO...
Definition: multi_gridgraph.hxx:2135
boost::num_vertices
vigra::GridGraph< N, DirectedTag >::vertices_size_type num_vertices(vigra::GridGraph< N, DirectedTag > const &g)
Return the number of vertices in graph g (API: boost).
Definition: multi_gridgraph.hxx:2694
vigra::GridGraph::get_out_back_edge_iterator
out_back_edge_iterator get_out_back_edge_iterator(vertex_descriptor const &v) const
Get an iterator pointing to the first outgoing backward edge of the given vertex (API: VIGRA...
Definition: multi_gridgraph.hxx:2292
vigra::ArrayVector< shape_type >
vigra::MultiArray< N, T >::reference
view_type::reference reference
Definition: multi_array.hxx:2393
vigra::GridGraph::baseNode
Node baseNode(OutBackArcIt const &a) const
Return the start node of the edge the given iterator is referring to (API: VIGRA).
Definition: multi_gridgraph.hxx:2207
vigra::GridGraph::ArcIt
GridGraphArcIterator< N, false > ArcIt
Iterator over the acrs (directed edges) of a node (API: LEMON).
Definition: multi_gridgraph.hxx:1515
vigra::GridGraph::get_back_neighbor_vertex_iterator
back_neighbor_vertex_iterator get_back_neighbor_vertex_iterator(vertex_descriptor const &v) const
Get an iterator pointing to the first backward neighbor of the given vertex (API: VIGRA...
Definition: multi_gridgraph.hxx:1987
vigra::GridGraph::oppositeArc
Arc oppositeArc(Arc const &a) const
Create an arc referring to the same edge as the given arc a, but with reversed direction (API: LEMON)...
Definition: multi_gridgraph.hxx:2161
vigra::prod
NumericTraits< V >::Promote prod(TinyVectorBase< V, SIZE, D1, D2 > const &l)
product of the vector&#39;s elements
Definition: tinyvector.hxx:1895
vigra::GridGraph::maxArcId
index_type maxArcId() const
Get the maximal ID af any arc in this graph (API: LEMON).
Definition: multi_gridgraph.hxx:2101
vigra::GridGraph::num_edges
edges_size_type num_edges() const
Get the number of edges in this graph (convenience function, boost::graph API provides the free funct...
Definition: multi_gridgraph.hxx:2374
vigra::GridGraph::nodeNum
vertices_size_type nodeNum() const
Get the number of nodes in this graph (API: LEMON).
Definition: multi_gridgraph.hxx:2014
vigra::GridGraph::out_degree
degree_size_type out_degree(vertex_descriptor const &v) const
Get the number of outgoing edges of the given vertex (convenience function, the boost::graph API pro...
Definition: multi_gridgraph.hxx:2328
boost::get
vigra::MultiArrayView< N, T, Stride >::const_reference get(vigra::MultiArrayView< N, T, Stride > const &pmap, typename vigra::MultiArrayView< N, T, Stride >::difference_type const &k)
Read the value at key k in property map pmap (API: boost).
Definition: multi_gridgraph.hxx:2859
vigra::GridGraph::InDegMap
Type of a property map that returns the number of incoming edges of a given node (API: LEMON...
Definition: multi_gridgraph.hxx:1797
vigra::GridGraph::EdgeMap::EdgeMap
EdgeMap(GridGraph const &g)
Construct property map for the given graph g (preallocates a zero-initialized entry for each edge of ...
Definition: multi_gridgraph.hxx:1663
vigra::GridGraph::NodeMap::NodeMap
NodeMap(GridGraph const &g)
Construct property map for the given graph g (preallocates a zero-initialized entry for each node of ...
Definition: multi_gridgraph.hxx:1575
vigra::GridGraph::edges_size_type
MultiArrayIndex edges_size_type
Type to specify number of edges (API: boost::graph, use via boost::graph_traits<Graph>::edges_size_ty...
Definition: multi_gridgraph.hxx:1396
vigra::GridGraph::GridGraph
GridGraph(shape_type const &shape, NeighborhoodType ntype=DirectNeighborhood)
Construct a grid graph with given shape and neighborhood type ntype.
Definition: multi_gridgraph.hxx:1877
vigra::TinyVectorBase< T, SIZE, T[SIZE], TinyVector< T, SIZE > >::size
size_type size() const
Definition: tinyvector.hxx:865
vigra::GridGraph::get_neighbor_vertex_end_iterator
neighbor_vertex_iterator get_neighbor_vertex_end_iterator(vertex_descriptor const &v) const
Get an iterator pointing beyond the range of neighbors of the given vertex (convenience function...
Definition: multi_gridgraph.hxx:1978
vigra::GridGraph::in_edge_iterator
GridGraphInArcIterator< N > in_edge_iterator
Iterator over the incoming edges of a given vertex (API: boost::graph, use via boost::graph_traits<Gr...
Definition: multi_gridgraph.hxx:1425
vigra::GridGraph::out_back_edge_iterator
GridGraphOutArcIterator< N, true > out_back_edge_iterator
Iterator over only those outgoing edges of a given vertex that go to vertices with smaller IDs (API: ...
Definition: multi_gridgraph.hxx:1435
boost::degree
vigra::GridGraph< N, DirectedTag >::degree_size_type degree(typename vigra::GridGraph< N, DirectedTag >::vertex_descriptor const &v, vigra::GridGraph< N, DirectedTag > const &g)
Return total number of edges (incoming and outgoing) of vertex v (API: boost).
Definition: multi_gridgraph.hxx:2671
vigra::MultiArrayShape::type
TinyVector< MultiArrayIndex, N > type
Definition: multi_shape.hxx:237
boost::in_degree
vigra::GridGraph< N, DirectedTag >::degree_size_type in_degree(typename vigra::GridGraph< N, DirectedTag >::vertex_descriptor const &v, vigra::GridGraph< N, DirectedTag > const &g)
Return number of incoming edges of vertex v (API: boost).
Definition: multi_gridgraph.hxx:2660
vigra::GridGraph::u
Node u(Edge const &e) const
Get the start node of the given edge e (API: LEMON, the boost::graph API provides the free function ...
Definition: multi_gridgraph.hxx:2257
vigra::GridGraph::findArc
Arc findArc(Node const &u, Node const &v, Arc const &=lemon::INVALID) const
Get a descriptor for the arc connecting vertices u and v, or lemon::INVALID if no such edge exists (A...
Definition: multi_gridgraph.hxx:2448
vigra::MultiArray< N, T >::value_type
view_type::value_type value_type
Definition: multi_array.hxx:2381
vigra::GridGraph::vertex_descriptor
shape_type vertex_descriptor
The vertex descriptor (API: boost::graph, use via boost::graph_traits<Graph>::vertex_descriptor).
Definition: multi_gridgraph.hxx:1445
boost::target
vigra::GridGraph< N, DirectedTag >::vertex_descriptor target(typename vigra::GridGraph< N, DirectedTag >::edge_descriptor const &e, vigra::GridGraph< N, DirectedTag > const &g)
Get a vertex descriptor for the end vertex of edge e in graph g (API: boost).
Definition: multi_gridgraph.hxx:2797
vigra::TinyVector
Class for fixed size vectors.This class contains an array of size SIZE of the specified VALUETYPE...
Definition: accessor.hxx:940
vigra::GridGraph::InDegMap::InDegMap
InDegMap(const GridGraph &graph)
Construct property map for the given graph.
Definition: multi_gridgraph.hxx:1813
boost::out_degree
vigra::GridGraph< N, DirectedTag >::degree_size_type out_degree(typename vigra::GridGraph< N, DirectedTag >::vertex_descriptor const &v, vigra::GridGraph< N, DirectedTag > const &g)
Return number of outgoing edges of vertex v (API: boost).
Definition: multi_gridgraph.hxx:2649
vigra::GridGraph::in_degree
degree_size_type in_degree(vertex_descriptor const &v) const
Get the number of incoming edges of the given vertex (convenience function, the boost::graph API pro...
Definition: multi_gridgraph.hxx:2352
vigra::GridGraph::id
index_type id(Node const &v) const
Get the ID (i.e. scan-order index) for node desciptor v (API: LEMON).
Definition: multi_gridgraph.hxx:1897
vigra::GridGraph::get_vertex_end_iterator
vertex_iterator get_vertex_end_iterator() const
Get vertex iterator pointing beyond the valid range of vertices of this graph (convenience function...
Definition: multi_gridgraph.hxx:1960
vigra::GridGraph::OutBackArcIt
GridGraphOutArcIterator< N, true > OutBackArcIt
Iterator over only those outgoing edges of a node that end in a node with smaller ID (API: VIGRA)...
Definition: multi_gridgraph.hxx:1511
vigra::GridGraph::index_type
MultiArrayIndex index_type
Type of node and edge IDs.
Definition: multi_gridgraph.hxx:1386
vigra::GridGraph::get_vertex_iterator
vertex_iterator get_vertex_iterator() const
Get vertex iterator pointing to the first vertex of this graph (convenience function, the boost::graph API provides the free function boost::vertices(graph), LEMON uses Graph::NodeIt(graph)).
Definition: multi_gridgraph.hxx:1944
vigra::GridGraph::edgeFromId
Edge edgeFromId(index_type i) const
Get the edge descriptor for the given edge ID i (API: LEMON).
Definition: multi_gridgraph.hxx:2047
vigra::GridGraph::Arc
GridGraphArcDescriptor< N > Arc
The arc (directed edge) descriptor (API: LEMON).
Definition: multi_gridgraph.hxx:1502
vigra::GridGraph::direction
bool direction(Arc const &a) const
Return true when the arc is looking on the underlying edge in its natural (i.e. forward) direction...
Definition: multi_gridgraph.hxx:2114
boost::vertices
std::pair< typename vigra::GridGraph< N, DirectedTag >::vertex_iterator, typename vigra::GridGraph< N, DirectedTag >::vertex_iterator > vertices(vigra::GridGraph< N, DirectedTag > const &g)
Get a (begin, end) iterator pair for the vertices of graph g (API: boost).
Definition: multi_gridgraph.hxx:2683
vigra::GridGraph::get_edge_end_iterator
edge_iterator get_edge_end_iterator() const
Get edge iterator pointing beyond the valid range of edges of this graph (convenience function...
Definition: multi_gridgraph.hxx:2408
vigra::GridGraph::Edge
MultiArrayShape< N+1 >::type Edge
The edge descriptor (API: LEMON).
Definition: multi_gridgraph.hxx:1523
vigra::GridGraph::forward_degree
degree_size_type forward_degree(vertex_descriptor const &v) const
Get the number of outgoing forward edges of the given vertex (API: VIGRA).
Definition: multi_gridgraph.hxx:2342
vigra::MultiArrayView
Base class for, and view to, vigra::MultiArray.
Definition: multi_array.hxx:655
boost::out_edges
std::pair< typename vigra::GridGraph< N, DirectedTag >::out_edge_iterator, typename vigra::GridGraph< N, DirectedTag >::out_edge_iterator > out_edges(typename vigra::GridGraph< N, DirectedTag >::vertex_descriptor const &v, vigra::GridGraph< N, DirectedTag > const &g)
Get a (begin, end) iterator pair for the outgoing edges of vertex v in graph g (API: boost)...
Definition: multi_gridgraph.hxx:2746
vigra::GridGraph::get_in_edge_iterator
in_edge_iterator get_in_edge_iterator(vertex_descriptor const &v) const
Get an iterator pointing to the first incoming edge of the given vertex (convenience function...
Definition: multi_gridgraph.hxx:2310
vigra::GridGraph::get_vertex_iterator
vertex_iterator get_vertex_iterator(vertex_descriptor const &v) const
Get vertex iterator pointing to the given vertex (API: VIGRA).
Definition: multi_gridgraph.hxx:1951
vigra::GridGraph::indexMap
IndexMap indexMap() const
Create a property map that returns the coordinate of each node (API: LEMON GridGraph).
Definition: multi_gridgraph.hxx:2459
vigra::GridGraph::OutDegMap::Graph
GridGraph Graph
The graph type of OutDegMap (works for directed and undirected graphs)
Definition: multi_gridgraph.hxx:1836
std::operator<<
ostream & operator<<(ostream &s, const vigra::MultiArrayView< 2, T, C > &m)
Definition: matrix.hxx:2322
vigra::GridGraph::get_out_edge_end_iterator
out_edge_iterator get_out_edge_end_iterator(vertex_descriptor const &v) const
Get an iterator pointing beyond the range of outgoing edges of the given vertex (convenience function...
Definition: multi_gridgraph.hxx:2283
vigra::GridGraph::oppositeNode
Node oppositeNode(Node const &n, Edge const &e) const
Return the opposite node of the given node n along edge e (API: LEMON), or return lemon::INVALID if t...
Definition: multi_gridgraph.hxx:2148
boost::edges
std::pair< typename vigra::GridGraph< N, DirectedTag >::edge_iterator, typename vigra::GridGraph< N, DirectedTag >::edge_iterator > edges(vigra::GridGraph< N, DirectedTag > const &g)
Get a (begin, end) iterator pair for the edges of graph g (API: boost).
Definition: multi_gridgraph.hxx:2809
boost::out_back_edges
std::pair< typename vigra::GridGraph< N, DirectedTag >::out_back_edge_iterator, typename vigra::GridGraph< N, DirectedTag >::out_back_edge_iterator > out_back_edges(typename vigra::GridGraph< N, DirectedTag >::vertex_descriptor const &v, vigra::GridGraph< N, DirectedTag > const &g)
Get a (begin, end) iterator pair for only those outgoing edges of vertex v whose ID is smaller than t...
Definition: multi_gridgraph.hxx:2760
vigra::GridGraph::OutDegMap
Type of a property map that returns the number of outgoing edges of a given node (API: LEMON...
Definition: multi_gridgraph.hxx:1831
vigra::DirectNeighborhood
use only direct neighbors
Definition: multi_shape.hxx:253
vigra::GridGraph::EdgeMap::EdgeMap
EdgeMap(difference_type const &shape)
Construct property map for the given shape (preallocates a zero-initialized entry for each edge of a ...
Definition: multi_gridgraph.hxx:1678
vigra::GridGraph::edge_iterator
GridGraphArcIterator< N,!is_directed > edge_iterator
Iterator over the edges of a graph (API: boost::graph, use via boost::graph_traits<Graph>::edge_itera...
Definition: multi_gridgraph.hxx:1440
vigra::NeighborhoodType
NeighborhoodType
Choose the neighborhood system in a dimension-independent way.
Definition: multi_shape.hxx:252
vigra::GridGraph::EdgeMap::EdgeMap
EdgeMap(GridGraph const &g, T const &t)
Construct property map for the given graph g (preallocates an entry with initial value t for each edg...
Definition: multi_gridgraph.hxx:1670
vigra::TinyVectorBase< T, SIZE, T[SIZE], TinyVector< T, SIZE > >::operator[]
reference operator[](difference_type i)
Definition: tinyvector.hxx:819
vigra::GridGraph::edgeNum
edges_size_type edgeNum() const
Get the number of edges in this graph (API: LEMON).
Definition: multi_gridgraph.hxx:2381
vigra::GridGraph::NodeMap
Type of a node property map that maps node descriptor objects onto property values of type T (API: LE...
Definition: multi_gridgraph.hxx:1550
vigra::GridGraph::source
Node source(Arc const &a) const
Get the start node of the given arc a (API: LEMON).
Definition: multi_gridgraph.hxx:2242
vigra::GridGraph::EdgeIt
GridGraphEdgeIterator< N,!is_directed > EdgeIt
Iterator over the edges of the graph (API: LEMON).
Definition: multi_gridgraph.hxx:1536
vigra::MultiCoordinateIterator
Iterate over a virtual array where each element contains its coordinate.
Definition: multi_iterator.hxx:89
vigra::GridGraph::IncEdgeIt
GridGraphOutEdgeIterator< N > IncEdgeIt
Iterator over the incident edges of a node (API: LEMON).
Definition: multi_gridgraph.hxx:1527
vigra::GridGraph::edge
std::pair< edge_descriptor, bool > edge(vertex_descriptor const &u, vertex_descriptor const &v) const
Get a descriptor for the edge connecting vertices u and v, or (lemon::INVALID, false) if no such edg...
Definition: multi_gridgraph.hxx:2421
vigra::MultiArrayView< N, vigra::detail::ResolveMultiband< T >::type, vigra::detail::ResolveMultiband< T >::Stride >::key_type
difference_type key_type
Definition: multi_array.hxx:694
vigra::MultiArray< N, T >::const_reference
view_type::const_reference const_reference
Definition: multi_array.hxx:2397
vigra::GridGraph::adjacency_iterator
GridGraphNeighborIterator< N > adjacency_iterator
Iterator over the neighbor vertices of a given vertex (API: boost::graph, use via boost::graph_traits...
Definition: multi_gridgraph.hxx:1411
vigra::GridGraph::pos
Node const & pos(Node const &v) const
Get the grid cordinate of the given node v (convenience function).
Definition: multi_gridgraph.hxx:1935
vigra::GridGraph::ArcMap
Type of an arc property map that maps arc descriptor objects onto property values of type T (API: LEM...
Definition: multi_gridgraph.hxx:1726
vigra::GridGraph::runningNode
Node runningNode(OutBackArcIt const &a) const
Return the end node of the edge the given iterator is referring to (API: VIGRA).
Definition: multi_gridgraph.hxx:2235

© Ullrich Köthe (ullrich.koethe@iwr.uni-heidelberg.de) Heidelberg Collaboratory for Image Processing, University of Heidelberg, Germany | html generated using doxygen and Python vigra 1.10.0