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source: GTP/trunk/Lib/Vis/Preprocessing/src/ViewCellBsp.cpp @ 676

Revision 676, 77.3 KB checked in by mattausch, 19 years ago (diff)

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1	#include "Plane3.h"
2	#include "ViewCellBsp.h"
3	#include "Mesh.h"
4	#include "common.h"
5	#include "ViewCell.h"
6	#include "Environment.h"
7	#include "Polygon3.h"
8	#include "Ray.h"
9	#include "AxisAlignedBox3.h"
10	#include "Triangle3.h"
11	#include "Tetrahedron3.h"
12	#include "ViewCellsManager.h"
13	#include "Exporter.h"
14	#include "Plane3.h"
15	#include <stack>
16
17
18
19	//-- static members
20
21	int BspNode::sMailId = 1;
22
23	/** Evaluates split plane classification with respect to the plane's
24	contribution for a minimum number splits in the tree.
25	*/
26	const float BspTree::sLeastPolySplitsTable[] = {0, 0, 1, 0};
27	/** Evaluates split plane classification with respect to the plane's
28	contribution for a balanced tree.
29	*/
30	const float BspTree::sBalancedPolysTable[] = {1, -1, 0, 0};
31
32	/** Evaluates split plane classification with respect to the plane's
33	contribution for a minimum number of ray splits.
34	*/
35	const float BspTree::sLeastRaySplitsTable[] = {0, 0, 1, 1, 0};
36	/** Evaluates split plane classification with respect to the plane's
37	contribution for balanced rays.
38	*/
39	const float BspTree::sBalancedRaysTable[] = {1, -1, 0, 0, 0};
40
41	int BspTree::sFrontId = 0;
42	int BspTree::sBackId = 0;
43	int BspTree::sFrontAndBackId = 0;
44
45
46	/****************************************************************/
47	/* class BspNode implementation */
48	/****************************************************************/
49
50
51	BspNode::BspNode():
52	mParent(NULL), mTreeValid(true), mTimeStamp(0)
53	{}
54
55
56	BspNode::BspNode(BspInterior *parent):
57	mParent(parent), mTreeValid(true)
58	{}
59
60
61	bool BspNode::IsRoot() const
62	{
63	return mParent == NULL;
64	}
65
66
67	BspInterior *BspNode::GetParent()
68	{
69	return mParent;
70	}
71
72
73	void BspNode::SetParent(BspInterior *parent)
74	{
75	mParent = parent;
76	}
77
78
79	bool BspNode::IsSibling(BspNode *n) const
80	{
81	return ((this != n) && mParent &&
82	(mParent->GetFront() == n) \|\| (mParent->GetBack() == n));
83	}
84
85
86	int BspNode::GetDepth() const
87	{
88	int depth = 0;
89	BspNode *p = mParent;
90
91	while (p)
92	{
93	p = p->mParent;
94	++ depth;
95	}
96
97	return depth;
98	}
99
100
101	bool BspNode::TreeValid() const
102	{
103	return mTreeValid;
104	}
105
106
107	void BspNode::SetTreeValid(const bool v)
108	{
109	mTreeValid = v;
110	}
111
112
113	/****************************************************************/
114	/* class BspInterior implementation */
115	/****************************************************************/
116
117
118	BspInterior::BspInterior(const Plane3 &plane):
119	mPlane(plane), mFront(NULL), mBack(NULL)
120	{}
121
122	BspInterior::~BspInterior()
123	{
124	DEL_PTR(mFront);
125	DEL_PTR(mBack);
126	}
127
128	bool BspInterior::IsLeaf() const
129	{
130	return false;
131	}
132
133	BspNode *BspInterior::GetBack()
134	{
135	return mBack;
136	}
137
138	BspNode *BspInterior::GetFront()
139	{
140	return mFront;
141	}
142
143	Plane3 BspInterior::GetPlane() const
144	{
145	return mPlane;
146	}
147
148	void BspInterior::ReplaceChildLink(BspNode oldChild, BspNode newChild)
149	{
150	if (mBack == oldChild)
151	mBack = newChild;
152	else
153	mFront = newChild;
154	}
155
156	void BspInterior::SetupChildLinks(BspNode b, BspNode f)
157	{
158	mBack = b;
159	mFront = f;
160	}
161
162	/****************************************************************/
163	/* class BspLeaf implementation */
164	/****************************************************************/
165
166
167	BspLeaf::BspLeaf(): mViewCell(NULL), mPvs(NULL)
168	{
169	}
170
171
172	BspLeaf::~BspLeaf()
173	{
174	DEL_PTR(mPvs);
175	}
176
177
178	BspLeaf::BspLeaf(ViewCell *viewCell):
179	mViewCell(viewCell)
180	{
181	}
182
183
184	BspLeaf::BspLeaf(BspInterior *parent):
185	BspNode(parent), mViewCell(NULL), mPvs(NULL)
186	{}
187
188
189
190	BspLeaf::BspLeaf(BspInterior parent, ViewCell viewCell):
191	BspNode(parent), mViewCell(viewCell), mPvs(NULL)
192	{
193	}
194
195	ViewCell *BspLeaf::GetViewCell() const
196	{
197	return mViewCell;
198	}
199
200	void BspLeaf::SetViewCell(ViewCell *viewCell)
201	{
202	mViewCell = viewCell;
203	}
204
205
206	bool BspLeaf::IsLeaf() const
207	{
208	return true;
209	}
210
211
212	/*********************************************************************/
213	/* class BspTree implementation */
214	/*********************************************************************/
215
216	BspTree::BspTree():
217	mRoot(NULL),
218	mUseAreaForPvs(false),
219	mGenerateViewCells(true),
220	mTimeStamp(1)
221	{
222	Randomize(); // initialise random generator for heuristics
223
224	mOutOfBoundsCell = GetOrCreateOutOfBoundsCell();
225
226	//-- termination criteria for autopartition
227	environment->GetIntValue("BspTree.Termination.maxDepth", mTermMaxDepth);
228	environment->GetIntValue("BspTree.Termination.minPvs", mTermMinPvs);
229	environment->GetIntValue("BspTree.Termination.minPolygons", mTermMinPolys);
230	environment->GetIntValue("BspTree.Termination.minRays", mTermMinRays);
231	environment->GetFloatValue("BspTree.Termination.minProbability", mTermMinProbability);
232	environment->GetFloatValue("BspTree.Termination.maxRayContribution", mTermMaxRayContribution);
233	environment->GetFloatValue("BspTree.Termination.minAccRayLenght", mTermMinAccRayLength);
234
235	//-- factors for bsp tree split plane heuristics
236	environment->GetFloatValue("BspTree.Factor.verticalSplits", mVerticalSplitsFactor);
237	environment->GetFloatValue("BspTree.Factor.largestPolyArea", mLargestPolyAreaFactor);
238	environment->GetFloatValue("BspTree.Factor.blockedRays", mBlockedRaysFactor);
239	environment->GetFloatValue("BspTree.Factor.leastRaySplits", mLeastRaySplitsFactor);
240	environment->GetFloatValue("BspTree.Factor.balancedRays", mBalancedRaysFactor);
241	environment->GetFloatValue("BspTree.Factor.pvs", mPvsFactor);
242	environment->GetFloatValue("BspTree.Factor.leastSplits" , mLeastSplitsFactor);
243	environment->GetFloatValue("BspTree.Factor.balancedPolys", mBalancedPolysFactor);
244	environment->GetFloatValue("BspTree.Factor.balancedViewCells", mBalancedViewCellsFactor);
245	environment->GetFloatValue("BspTree.Termination.ct_div_ci", mCtDivCi);
246
247	//-- termination criteria for axis aligned split
248	environment->GetFloatValue("BspTree.Termination.AxisAligned.ct_div_ci", mAxisAlignedCtDivCi);
249	environment->GetFloatValue("BspTree.Termination.maxCostRatio", mMaxCostRatio);
250	environment->GetIntValue("BspTree.Termination.AxisAligned.minPolys",
251	mTermMinPolysForAxisAligned);
252	environment->GetIntValue("BspTree.Termination.AxisAligned.minRays",
253	mTermMinRaysForAxisAligned);
254	environment->GetIntValue("BspTree.Termination.AxisAligned.minObjects",
255	mTermMinObjectsForAxisAligned);
256	//-- partition criteria
257	environment->GetIntValue("BspTree.maxPolyCandidates", mMaxPolyCandidates);
258	environment->GetIntValue("BspTree.maxRayCandidates", mMaxRayCandidates);
259	environment->GetIntValue("BspTree.splitPlaneStrategy", mSplitPlaneStrategy);
260	environment->GetFloatValue("BspTree.AxisAligned.splitBorder", mSplitBorder);
261	environment->GetIntValue("BspTree.maxTests", mMaxTests);
262	environment->GetIntValue("BspTree.Termination.maxViewCells", mMaxViewCells);
263
264	environment->GetFloatValue("BspTree.Construction.epsilon", mEpsilon);
265
266	char subdivisionStatsLog[100];
267	environment->GetStringValue("BspTree.subdivisionStats", subdivisionStatsLog);
268	mSubdivisionStats.open(subdivisionStatsLog);
269
270	Debug << "BSP max depth: " << mTermMaxDepth << endl;
271	Debug << "BSP min PVS: " << mTermMinPvs << endl;
272	Debug << "BSP min probability: " << mTermMinProbability << endl;
273	Debug << "BSP max polys: " << mTermMinPolys << endl;
274	Debug << "BSP max rays: " << mTermMinRays << endl;
275	Debug << "BSP max polygon candidates: " << mMaxPolyCandidates << endl;
276	Debug << "BSP max plane candidates: " << mMaxRayCandidates << endl;
277
278	Debug << "Split plane strategy: ";
279	if (mSplitPlaneStrategy & RANDOM_POLYGON)
280	Debug << "random polygon ";
281	if (mSplitPlaneStrategy & AXIS_ALIGNED)
282	Debug << "axis aligned ";
283	if (mSplitPlaneStrategy & LEAST_SPLITS)
284	Debug << "least splits ";
285	if (mSplitPlaneStrategy & BALANCED_POLYS)
286	Debug << "balanced polygons ";
287	if (mSplitPlaneStrategy & BALANCED_VIEW_CELLS)
288	Debug << "balanced view cells ";
289	if (mSplitPlaneStrategy & LARGEST_POLY_AREA)
290	Debug << "largest polygon area ";
291	if (mSplitPlaneStrategy & VERTICAL_AXIS)
292	Debug << "vertical axis ";
293	if (mSplitPlaneStrategy & BLOCKED_RAYS)
294	Debug << "blocked rays ";
295	if (mSplitPlaneStrategy & LEAST_RAY_SPLITS)
296	Debug << "least ray splits ";
297	if (mSplitPlaneStrategy & BALANCED_RAYS)
298	Debug << "balanced rays ";
299	if (mSplitPlaneStrategy & PVS)
300	Debug << "pvs";
301
302	Debug << endl;
303	}
304
305
306	const BspTreeStatistics &BspTree::GetStatistics() const
307	{
308	return mStat;
309	}
310
311
312	int BspTree::SplitPolygons(const Plane3 &plane,
313	PolygonContainer &polys,
314	PolygonContainer &frontPolys,
315	PolygonContainer &backPolys,
316	PolygonContainer &coincident) const
317	{
318	int splits = 0;
319
320	#ifdef _Debug
321	Debug << "splitting polygons of node " << this << " with plane " << mPlane << endl;
322	#endif
323
324	PolygonContainer::const_iterator it, it_end = polys.end();
325
326	for (it = polys.begin(); it != polys.end(); ++ it)
327	{
328	Polygon3 poly = it;
329
330	//-- classify polygon
331	const int cf = poly->ClassifyPlane(plane, mEpsilon);
332
333	switch (cf)
334	{
335	case Polygon3::COINCIDENT:
336	coincident.push_back(poly);
337	break;
338	case Polygon3::FRONT_SIDE:
339	frontPolys.push_back(poly);
340	break;
341	case Polygon3::BACK_SIDE:
342	backPolys.push_back(poly);
343	break;
344	case Polygon3::SPLIT:
345	{
346	Polygon3 *front_piece = new Polygon3(poly->mParent);
347	Polygon3 *back_piece = new Polygon3(poly->mParent);
348
349	//-- split polygon into front and back part
350	poly->Split(plane,
351	*front_piece,
352	*back_piece,
353	mEpsilon);
354
355	++ splits; // increase number of splits
356
357	//-- inherit rays from parent polygon for blocked ray criterium
358	poly->InheritRays(front_piece, back_piece);
359
360	// check if polygons still valid
361	if (front_piece->Valid(mEpsilon))
362	frontPolys.push_back(front_piece);
363	else
364	DEL_PTR(front_piece);
365
366	if (back_piece->Valid(mEpsilon))
367	backPolys.push_back(back_piece);
368	else
369	DEL_PTR(back_piece);
370
371	#ifdef _DEBUG
372	Debug << "split " << poly << endl << front_piece << endl << *back_piece << endl;
373	#endif
374	DEL_PTR(poly);
375	}
376	break;
377	default:
378	Debug << "SHOULD NEVER COME HERE\n";
379	break;
380	}
381	}
382
383	return splits;
384	}
385
386
387	void BspTreeStatistics::Print(ostream &app) const
388	{
389	app << "===== BspTree statistics ===============\n";
390
391	app << setprecision(4);
392
393	app << "#N_CTIME ( Construction time [s] )\n" << Time() << " \n";
394
395	app << "#N_NODES ( Number of nodes )\n" << nodes << "\n";
396
397	app << "#N_INTERIORS ( Number of interior nodes )\n" << Interior() << "\n";
398
399	app << "#N_LEAVES ( Number of leaves )\n" << Leaves() << "\n";
400
401	app << "#N_POLYSPLITS ( Number of polygon splits )\n" << polySplits << "\n";
402
403	app << "#AXIS_ALIGNED_SPLITS (number of axis aligned splits)\n" << splits[0] + splits[1] + splits[2] << endl;
404
405	app << "#N_SPLITS ( Number of splits in axes x y z)\n";
406
407	for (int i = 0; i < 3; ++ i)
408	app << splits[i] << " ";
409	app << endl;
410
411	app << "#N_PMAXDEPTHLEAVES ( Percentage of leaves at maximum depth )\n"
412	<< maxDepthNodes * 100 / (double)Leaves() << endl;
413
414	app << "#N_PMINPVSLEAVES ( Percentage of leaves with mininimal PVS )\n"
415	<< minPvsNodes * 100 / (double)Leaves() << endl;
416
417	app << "#N_PMINRAYSLEAVES ( Percentage of leaves with minimal number of rays)\n"
418	<< minRaysNodes * 100 / (double)Leaves() << endl;
419
420	app << "#N_MAXCOSTNODES ( Percentage of leaves with terminated because of max cost ratio )\n"
421	<< maxCostNodes * 100 / (double)Leaves() << endl;
422
423	app << "#N_PMINPROBABILITYLEAVES ( Percentage of leaves with mininum probability )\n"
424	<< minProbabilityNodes * 100 / (double)Leaves() << endl;
425
426	app << "#N_PMAXRAYCONTRIBLEAVES ( Percentage of leaves with maximal ray contribution )\n"
427	<< maxRayContribNodes * 100 / (double)Leaves() << endl;
428
429	app << "#N_PMAXDEPTH ( Maximal reached depth )\n" << maxDepth << endl;
430
431	app << "#N_PMINDEPTH ( Minimal reached depth )\n" << minDepth << endl;
432
433	app << "#AVGDEPTH ( average depth )\n" << AvgDepth() << endl;
434
435	app << "#N_INPUTPOLYGONS (number of input polygons )\n" << polys << endl;
436
437	app << "#N_INVALIDLEAVES (number of invalid leaves )\n" << invalidLeaves << endl;
438
439	app << "#N_RAYS (number of rays / leaf)\n" << AvgRays() << endl;
440	//app << "#N_PVS: " << pvs << endl;
441
442	app << "#N_ROUTPUT_INPUT_POLYGONS ( ratio polygons after subdivision / input polygons )\n" <<
443	(polys + polySplits) / (double)polys << endl;
444
445	app << "===== END OF BspTree statistics ==========\n";
446	}
447
448
449	BspTree::~BspTree()
450	{
451	DEL_PTR(mRoot);
452
453	// TODO must be deleted if used!!
454	//if (mGenerateViewCells) DEL_PTR(mOutOfBoundsCell);
455	}
456
457	BspViewCell *BspTree::GetOutOfBoundsCell()
458	{
459	return mOutOfBoundsCell;
460	}
461
462
463	BspNode *BspTree::GetRoot() const
464	{
465	return mRoot;
466	}
467
468	BspViewCell *BspTree::GetOrCreateOutOfBoundsCell()
469	{
470	if (!mOutOfBoundsCell)
471	{
472	mOutOfBoundsCell = new BspViewCell();
473	mOutOfBoundsCell->SetId(-1);
474	mOutOfBoundsCell->SetValid(false);
475	}
476
477	return mOutOfBoundsCell;
478	}
479
480
481	void BspTree::InsertViewCell(ViewCell *viewCell)
482	{
483	PolygonContainer *polys = new PolygonContainer();
484
485	// don't generate new view cell, insert this one
486	mGenerateViewCells = false;
487	// extract polygons that guide the split process
488	mStat.polys += AddMeshToPolygons(viewCell->GetMesh(), *polys, viewCell);
489	mBox.Include(viewCell->GetBox()); // add to BSP aabb
490
491	InsertPolygons(polys);
492	}
493
494
495	void BspTree::InsertPolygons(PolygonContainer *polys)
496	{
497	BspTraversalStack tStack;
498
499	// traverse existing tree or create new tree
500	if (!mRoot)
501	mRoot = new BspLeaf();
502
503	tStack.push(BspTraversalData(mRoot,
504	polys,
505	0,
506	mOutOfBoundsCell,
507	new BoundedRayContainer(),
508	0,
509	mUseAreaForPvs ? mBox.SurfaceArea() : mBox.GetVolume(),
510	new BspNodeGeometry()));
511
512	while (!tStack.empty())
513	{
514	// filter polygons donw the tree
515	BspTraversalData tData = tStack.top();
516	tStack.pop();
517
518	if (!tData.mNode->IsLeaf())
519	{
520	BspInterior interior = dynamic_cast<BspInterior >(tData.mNode);
521
522	//-- filter view cell polygons down the tree until a leaf is reached
523	if (!tData.mPolygons->empty())
524	{
525	PolygonContainer *frontPolys = new PolygonContainer();
526	PolygonContainer *backPolys = new PolygonContainer();
527	PolygonContainer coincident;
528
529	int splits = 0;
530
531	// split viewcell polygons with respect to split plane
532	splits += SplitPolygons(interior->GetPlane(),
533	*tData.mPolygons,
534	*frontPolys,
535	*backPolys,
536	coincident);
537
538	// extract view cells associated with the split polygons
539	ViewCell *frontViewCell = GetOrCreateOutOfBoundsCell();
540	ViewCell *backViewCell = GetOrCreateOutOfBoundsCell();
541
542	BspTraversalData frontData(interior->GetFront(),
543	frontPolys,
544	tData.mDepth + 1,
545	mOutOfBoundsCell,
546	tData.mRays,
547	tData.mPvs,
548	mUseAreaForPvs ? mBox.SurfaceArea() : mBox.GetVolume(),
549	new BspNodeGeometry());
550
551	BspTraversalData backData(interior->GetBack(),
552	backPolys,
553	tData.mDepth + 1,
554	mOutOfBoundsCell,
555	tData.mRays,
556	tData.mPvs,
557	mUseAreaForPvs ? mBox.SurfaceArea() : mBox.GetVolume(),
558	new BspNodeGeometry());
559
560	if (!mGenerateViewCells)
561	{
562	ExtractViewCells(frontData,
563	backData,
564	coincident,
565	interior->mPlane);
566	}
567
568	// don't need coincident polygons anymore
569	CLEAR_CONTAINER(coincident);
570
571	mStat.polySplits += splits;
572
573	// push the children on the stack
574	tStack.push(frontData);
575	tStack.push(backData);
576	}
577
578	// cleanup
579	DEL_PTR(tData.mPolygons);
580	DEL_PTR(tData.mRays);
581	}
582	else
583	{
584	// reached leaf => subdivide current viewcell
585	BspNode *subRoot = Subdivide(tStack, tData);
586	}
587	}
588	}
589
590	int BspTree::AddMeshToPolygons(Mesh *mesh,
591	PolygonContainer &polys,
592	MeshInstance *parent)
593	{
594	FaceContainer::const_iterator fi;
595
596	// copy the face data to polygons
597	for (fi = mesh->mFaces.begin(); fi != mesh->mFaces.end(); ++ fi)
598	{
599	Polygon3 poly = new Polygon3((fi), mesh);
600
601	if (poly->Valid(mEpsilon))
602	{
603	poly->mParent = parent; // set parent intersectable
604	polys.push_back(poly);
605	}
606	else
607	DEL_PTR(poly);
608	}
609	return (int)mesh->mFaces.size();
610	}
611
612
613	int BspTree::AddToPolygonSoup(const ViewCellContainer &viewCells,
614	PolygonContainer &polys,
615	int maxObjects)
616	{
617	int limit = (maxObjects > 0) ?
618	Min((int)viewCells.size(), maxObjects) : (int)viewCells.size();
619
620	int polysSize = 0;
621
622	for (int i = 0; i < limit; ++ i)
623	{
624	if (viewCells[i]->GetMesh()) // copy the mesh data to polygons
625	{
626	mBox.Include(viewCells[i]->GetBox()); // add to BSP tree aabb
627	polysSize += AddMeshToPolygons(viewCells[i]->GetMesh(), polys, viewCells[i]);
628	}
629	}
630
631	return polysSize;
632	}
633
634
635	int BspTree::AddToPolygonSoup(const ObjectContainer &objects,
636	PolygonContainer &polys,
637	int maxObjects,
638	bool addToBbox)
639	{
640	int limit = (maxObjects > 0) ?
641	Min((int)objects.size(), maxObjects) : (int)objects.size();
642
643	for (int i = 0; i < limit; ++i)
644	{
645	Intersectable object = objects[i];//it;
646	Mesh *mesh = NULL;
647
648	switch (object->Type()) // extract the meshes
649	{
650	case Intersectable::MESH_INSTANCE:
651	mesh = dynamic_cast<MeshInstance *>(object)->GetMesh();
652	break;
653	case Intersectable::VIEW_CELL:
654	mesh = dynamic_cast<ViewCell *>(object)->GetMesh();
655	break;
656	// TODO: handle transformed mesh instances
657	default:
658	Debug << "intersectable type not supported" << endl;
659	break;
660	}
661
662	if (mesh) // copy the mesh data to polygons
663	{
664	if (addToBbox)
665	{
666	mBox.Include(object->GetBox()); // add to BSP tree aabb
667	}
668
669	AddMeshToPolygons(mesh, polys, mOutOfBoundsCell);
670	}
671	}
672
673	return (int)polys.size();
674	}
675
676
677	void BspTree::Construct(const ViewCellContainer &viewCells)
678	{
679	mStat.nodes = 1;
680	mBox.Initialize(); // initialise bsp tree bounding box
681
682	// copy view cell meshes into one big polygon soup
683	PolygonContainer *polys = new PolygonContainer();
684	mStat.polys = AddToPolygonSoup(viewCells, *polys);
685
686	// view cells are given
687	mGenerateViewCells = false;
688	// construct tree from the view cell polygons
689	Construct(polys, new BoundedRayContainer());
690	}
691
692
693	void BspTree::Construct(const ObjectContainer &objects)
694	{
695	mStat.nodes = 1;
696	mBox.Initialize(); // initialise bsp tree bounding box
697
698	PolygonContainer *polys = new PolygonContainer();
699
700	mGenerateViewCells = true;
701	// copy mesh instance polygons into one big polygon soup
702	mStat.polys = AddToPolygonSoup(objects, *polys);
703
704	// construct tree from polygon soup
705	Construct(polys, new BoundedRayContainer());
706	}
707
708
709	void BspTree::PreprocessPolygons(PolygonContainer &polys)
710	{
711	// preprocess: throw out polygons coincident to the view space box (not needed)
712	PolygonContainer boxPolys;
713	mBox.ExtractPolys(boxPolys);
714	vector<Plane3> boxPlanes;
715
716	PolygonContainer::iterator pit, pit_end = boxPolys.end();
717
718	// extract planes of box
719	// TODO: can be done more elegantly than first extracting polygons
720	// and take their planes
721	for (pit = boxPolys.begin(); pit != pit_end; ++ pit)
722	{
723	boxPlanes.push_back((*pit)->GetSupportingPlane());
724	}
725
726	pit_end = polys.end();
727
728	for (pit = polys.begin(); pit != pit_end; ++ pit)
729	{
730	vector<Plane3>::const_iterator bit, bit_end = boxPlanes.end();
731
732	for (bit = boxPlanes.begin(); (bit != bit_end) && (*pit); ++ bit)
733	{
734	const int cf = (pit)->ClassifyPlane(bit, mEpsilon);
735
736	if (cf == Polygon3::COINCIDENT)
737	{
738	DEL_PTR(*pit);
739	//Debug << "coincident!!" << endl;
740	}
741	}
742	}
743
744	// remove deleted entries
745	for (int i = 0; i < (int)polys.size(); ++ i)
746	{
747	while (!polys[i] && (i < (int)polys.size()))
748	{
749	swap(polys[i], polys.back());
750	polys.pop_back();
751	}
752	}
753	}
754
755
756
757	void BspTree::Construct(const RayContainer &sampleRays,
758	AxisAlignedBox3 *forcedBoundingBox)
759	{
760	mStat.nodes = 1;
761	mBox.Initialize(); // initialise BSP tree bounding box
762
763	if (forcedBoundingBox)
764	mBox = *forcedBoundingBox;
765
766	PolygonContainer *polys = new PolygonContainer();
767	BoundedRayContainer *rays = new BoundedRayContainer();
768
769	RayContainer::const_iterator rit, rit_end = sampleRays.end();
770
771	// generate view cells
772	mGenerateViewCells = true;
773
774	long startTime = GetTime();
775
776	Debug << "** Extracting polygons from rays **\n";
777
778	std::map<Face , Polygon3 > facePolyMap;
779
780	//-- extract polygons intersected by the rays
781	for (rit = sampleRays.begin(); rit != rit_end; ++ rit)
782	{
783	Ray ray = rit;
784
785	// get ray-face intersection. Store polygon representing the rays together
786	// with rays intersecting the face.
787	if (!ray->intersections.empty())
788	{
789	MeshInstance obj = dynamic_cast<MeshInstance >(ray->intersections[0].mObject);
790	Face *face = obj->GetMesh()->mFaces[ray->intersections[0].mFace];
791
792	std::map<Face , Polygon3 >::iterator it = facePolyMap.find(face);
793
794	if (it != facePolyMap.end())
795	{
796	//store rays if needed for heuristics
797	if (mSplitPlaneStrategy & BLOCKED_RAYS)
798	(*it).second->mPiercingRays.push_back(ray);
799	}
800	else
801	{ //store rays if needed for heuristics
802	Polygon3 *poly = new Polygon3(face, obj->GetMesh());
803	poly->mParent = obj;
804	polys->push_back(poly);
805
806	if (mSplitPlaneStrategy & BLOCKED_RAYS)
807	poly->mPiercingRays.push_back(ray);
808
809	facePolyMap[face] = poly;
810	}
811	}
812	}
813
814	facePolyMap.clear();
815
816	// compute bounding box
817	if (!forcedBoundingBox)
818	Polygon3::IncludeInBox(*polys, mBox);
819
820	//-- store rays
821	for (rit = sampleRays.begin(); rit != rit_end; ++ rit)
822	{
823	Ray ray = rit;
824	ray->SetId(-1); // reset id
825
826	float minT, maxT;
827	if (mBox.GetRaySegment(*ray, minT, maxT))
828	rays->push_back(new BoundedRay(ray, minT, maxT));
829	}
830
831	// throw out bad polygons
832	PreprocessPolygons(*polys);
833
834	mStat.polys = (int)polys->size();
835
836	Debug << "** Finished polygon extraction **" << endl;
837	Debug << (int)polys->size() << " polys extracted from " << (int)sampleRays.size() << " rays" << endl;
838	Debug << "extraction time: " << TimeDiff(startTime, GetTime())*1e-3 << "s" << endl;
839
840	Construct(polys, rays);
841	}
842
843
844	void BspTree::Construct(const ObjectContainer &objects,
845	const RayContainer &sampleRays,
846	AxisAlignedBox3 *forcedBoundingBox)
847	{
848	mStat.nodes = 1;
849	mBox.Initialize(); // initialise BSP tree bounding box
850
851	if (forcedBoundingBox)
852	mBox = *forcedBoundingBox;
853
854	BoundedRayContainer *rays = new BoundedRayContainer();
855	PolygonContainer *polys = new PolygonContainer();
856
857	mGenerateViewCells = true;
858
859	// copy mesh instance polygons into one big polygon soup
860	mStat.polys = AddToPolygonSoup(objects, *polys, 0, !forcedBoundingBox);
861
862
863	RayContainer::const_iterator rit, rit_end = sampleRays.end();
864
865	//-- store rays
866	for (rit = sampleRays.begin(); rit != rit_end; ++ rit)
867	{
868	Ray ray = rit;
869	ray->SetId(-1); // reset id
870
871	float minT, maxT;
872	if (mBox.GetRaySegment(*ray, minT, maxT))
873	rays->push_back(new BoundedRay(ray, minT, maxT));
874	}
875
876	PreprocessPolygons(*polys);
877	Debug << "tree has " << (int)polys->size() << " polys, " << (int)sampleRays.size() << " rays" << endl;
878	Construct(polys, rays);
879	}
880
881
882	void BspTree::Construct(PolygonContainer polys, BoundedRayContainer rays)
883	{
884	BspTraversalStack tStack;
885
886	mRoot = new BspLeaf();
887
888	// constrruct root node geometry
889	BspNodeGeometry *geom = new BspNodeGeometry();
890	ConstructGeometry(mRoot, *geom);
891
892	BspTraversalData tData(mRoot,
893	polys,
894	0,
895	GetOrCreateOutOfBoundsCell(),
896	rays,
897	ComputePvsSize(*rays),
898	mUseAreaForPvs ? geom->GetArea() : geom->GetVolume(),
899	geom);
900
901	mTotalCost = tData.mPvs * tData.mProbability / mBox.GetVolume();
902	mTotalPvsSize = tData.mPvs;
903
904	mSubdivisionStats
905	<< "#ViewCells\n1\n" << endl
906	<< "#RenderCostDecrease\n0\n" << endl
907	<< "#TotalRenderCost\n" << mTotalCost << endl
908	<< "#AvgRenderCost\n" << mTotalPvsSize << endl;
909
910	tStack.push(tData);
911
912	// used for intermediate time measurements and progress
913	long interTime = GetTime();
914	int nleaves = 500;
915
916	mStat.Start();
917	cout << "Constructing bsp tree ...\n";
918	long startTime = GetTime();
919	while (!tStack.empty())
920	{
921	tData = tStack.top();
922
923	tStack.pop();
924
925	// subdivide leaf node
926	BspNode *r = Subdivide(tStack, tData);
927
928	if (r == mRoot)
929	Debug << "BSP tree construction time spent at root: "
930	<< TimeDiff(startTime, GetTime())*1e-3 << " secs" << endl;
931
932	if (mStat.Leaves() >= nleaves)
933	{
934	nleaves += 500;
935
936	cout << "leaves=" << mStat.Leaves() << endl;
937	Debug << "needed "
938	<< TimeDiff(interTime, GetTime())*1e-3
939	<< " secs to create 500 leaves" << endl;
940	interTime = GetTime();
941	}
942	}
943
944	cout << "finished\n";
945
946	mStat.Stop();
947	}
948
949
950	bool BspTree::TerminationCriteriaMet(const BspTraversalData &data) const
951	{
952	return
953	(((int)data.mPolygons->size() <= mTermMinPolys) \|\|
954	((int)data.mRays->size() <= mTermMinRays) \|\|
955	(data.mPvs <= mTermMinPvs) \|\|
956	(data.mProbability <= mTermMinProbability) \|\|
957	(data.mDepth >= mTermMaxDepth) \|\|
958	(mStat.Leaves() >= mMaxViewCells) \|\|
959	(data.GetAvgRayContribution() > mTermMaxRayContribution));
960	}
961
962
963	BspNode *BspTree::Subdivide(BspTraversalStack &tStack, BspTraversalData &tData)
964	{
965	//-- terminate traversal
966	if (TerminationCriteriaMet(tData))
967	{
968	BspLeaf leaf = dynamic_cast<BspLeaf >(tData.mNode);
969
970	BspViewCell *viewCell;
971
972	// generate new view cell for each leaf
973	if (mGenerateViewCells)
974	viewCell = new BspViewCell();
975	else
976	// add view cell to leaf
977	viewCell = dynamic_cast<BspViewCell *>(tData.mViewCell);
978
979	leaf->SetViewCell(viewCell);
980	viewCell->mLeaf = leaf;
981
982	//float probability = max(0.0f, tData.mProbability);
983	float probability = tData.mProbability;
984
985	if (mUseAreaForPvs)
986	viewCell->SetArea(probability);
987	else
988	viewCell->SetVolume(probability);
989
990	//-- add pvs
991	if (viewCell != mOutOfBoundsCell)
992	{
993	int conSamp = 0, sampCon = 0;
994	AddToPvs(leaf, *tData.mRays, conSamp, sampCon);
995
996	mStat.contributingSamples += conSamp;
997	mStat.sampleContributions += sampCon;
998	}
999
1000	EvaluateLeafStats(tData);
1001
1002	//-- clean up
1003
1004	// discard polygons
1005	CLEAR_CONTAINER(*tData.mPolygons);
1006	// discard rays
1007	CLEAR_CONTAINER(*tData.mRays);
1008
1009	DEL_PTR(tData.mPolygons);
1010	DEL_PTR(tData.mRays);
1011	DEL_PTR(tData.mGeometry);
1012
1013	return leaf;
1014	}
1015
1016	//-- continue subdivision
1017	PolygonContainer coincident;
1018
1019	BspTraversalData tFrontData(NULL, new PolygonContainer(), tData.mDepth + 1, mOutOfBoundsCell,
1020	new BoundedRayContainer(), 0, 0, new BspNodeGeometry());
1021	BspTraversalData tBackData(NULL, new PolygonContainer(), tData.mDepth + 1, mOutOfBoundsCell,
1022	new BoundedRayContainer(), 0, 0, new BspNodeGeometry());
1023
1024
1025	// create new interior node and two leaf nodes
1026	BspInterior *interior =
1027	SubdivideNode(tData, tFrontData, tBackData, coincident);
1028
1029
1030	if (1)
1031	{
1032	int pvsData = tData.mPvs;
1033
1034	float cData = (float)pvsData * tData.mProbability;
1035	float cFront = (float)tFrontData.mPvs * tFrontData.mProbability;
1036	float cBack = (float)tBackData.mPvs * tBackData.mProbability;
1037
1038	float costDecr = (cFront + cBack - cData) / mBox.GetVolume();
1039
1040	mTotalCost += costDecr;
1041	mTotalPvsSize += tFrontData.mPvs + tBackData.mPvs - pvsData;
1042
1043	mSubdivisionStats
1044	<< "#ViewCells\n" << mStat.Leaves() << endl
1045	<< "#RenderCostDecrease\n" << -costDecr << endl
1046	<< "#TotalRenderCost\n" << mTotalCost << endl
1047	<< "#AvgRenderCost\n" << mTotalPvsSize / mStat.Leaves() << endl;
1048	}
1049
1050	// extract view cells from coincident polygons according to plane normal
1051	// only if front or back polygons are empty
1052	if (!mGenerateViewCells)
1053	{
1054	ExtractViewCells(tFrontData,
1055	tBackData,
1056	coincident,
1057	interior->mPlane);
1058	}
1059
1060	// don't need coincident polygons anymory
1061	CLEAR_CONTAINER(coincident);
1062
1063	// push the children on the stack
1064	tStack.push(tFrontData);
1065	tStack.push(tBackData);
1066
1067	// cleanup
1068	DEL_PTR(tData.mNode);
1069
1070	DEL_PTR(tData.mPolygons);
1071	DEL_PTR(tData.mRays);
1072	DEL_PTR(tData.mGeometry);
1073
1074	return interior;
1075	}
1076
1077
1078	void BspTree::ExtractViewCells(BspTraversalData &frontData,
1079	BspTraversalData &backData,
1080	const PolygonContainer &coincident,
1081	const Plane3 &splitPlane) const
1082	{
1083	// if not empty, tree is further subdivided => don't have to find view cell
1084	bool foundFront = !frontData.mPolygons->empty();
1085	bool foundBack = !frontData.mPolygons->empty();
1086
1087	PolygonContainer::const_iterator it =
1088	coincident.begin(), it_end = coincident.end();
1089
1090	//-- find first view cells in front and back leafs
1091	for (; !(foundFront && foundBack) && (it != it_end); ++ it)
1092	{
1093	if (DotProd((*it)->GetNormal(), splitPlane.mNormal) > 0)
1094	{
1095	backData.mViewCell = dynamic_cast<ViewCell >((it)->mParent);
1096	foundBack = true;
1097	}
1098	else
1099	{
1100	frontData.mViewCell = dynamic_cast<ViewCell >((it)->mParent);
1101	foundFront = true;
1102	}
1103	}
1104	}
1105
1106
1107	BspInterior *BspTree::SubdivideNode(BspTraversalData &tData,
1108	BspTraversalData &frontData,
1109	BspTraversalData &backData,
1110	PolygonContainer &coincident)
1111	{
1112	mStat.nodes += 2;
1113
1114	BspLeaf leaf = dynamic_cast<BspLeaf >(tData.mNode);
1115
1116
1117
1118	// select subdivision plane
1119	BspInterior *interior =
1120	new BspInterior(SelectPlane(leaf, tData));
1121
1122
1123	#ifdef _DEBUG
1124	Debug << interior << endl;
1125	#endif
1126
1127
1128	// subdivide rays into front and back rays
1129	SplitRays(interior->mPlane, tData.mRays, frontData.mRays, *backData.mRays);
1130
1131
1132
1133	// subdivide polygons with plane
1134	mStat.polySplits += SplitPolygons(interior->GetPlane(),
1135	*tData.mPolygons,
1136	*frontData.mPolygons,
1137	*backData.mPolygons,
1138	coincident);
1139
1140
1141
1142	// compute pvs
1143	frontData.mPvs = ComputePvsSize(*frontData.mRays);
1144	backData.mPvs = ComputePvsSize(*backData.mRays);
1145
1146	// split geometry and compute area
1147	if (1)
1148	{
1149	tData.mGeometry->SplitGeometry(*frontData.mGeometry,
1150	*backData.mGeometry,
1151	interior->mPlane,
1152	mBox,
1153	//0.000000000001);
1154	mEpsilon);
1155
1156
1157	if (mUseAreaForPvs)
1158	{
1159	frontData.mProbability = frontData.mGeometry->GetArea();
1160	backData.mProbability = backData.mGeometry->GetArea();
1161	}
1162	else
1163	{
1164	frontData.mProbability = frontData.mGeometry->GetVolume();
1165	backData.mProbability = tData.mProbability - frontData.mProbability;
1166	}
1167	}
1168
1169	//-- create front and back leaf
1170
1171	BspInterior *parent = leaf->GetParent();
1172
1173	// replace a link from node's parent
1174	if (!leaf->IsRoot())
1175	{
1176	parent->ReplaceChildLink(leaf, interior);
1177	interior->SetParent(parent);
1178	}
1179	else // new root
1180	{
1181	mRoot = interior;
1182	}
1183
1184	// and setup child links
1185	interior->SetupChildLinks(new BspLeaf(interior), new BspLeaf(interior));
1186
1187	frontData.mNode = interior->GetFront();
1188	backData.mNode = interior->GetBack();
1189
1190	interior->mTimeStamp = mTimeStamp ++;
1191
1192	//DEL_PTR(leaf);
1193	return interior;
1194	}
1195
1196
1197	void BspTree::SortSplitCandidates(const PolygonContainer &polys,
1198	const int axis,
1199	vector<SortableEntry> &splitCandidates) const
1200	{
1201	splitCandidates.clear();
1202
1203	int requestedSize = 2 * (int)polys.size();
1204	// creates a sorted split candidates array
1205	splitCandidates.reserve(requestedSize);
1206
1207	PolygonContainer::const_iterator it, it_end = polys.end();
1208
1209	AxisAlignedBox3 box;
1210
1211	// insert all queries
1212	for(it = polys.begin(); it != it_end; ++ it)
1213	{
1214	box.Initialize();
1215	box.Include((it));
1216
1217	splitCandidates.push_back(SortableEntry(SortableEntry::POLY_MIN, box.Min(axis), *it));
1218	splitCandidates.push_back(SortableEntry(SortableEntry::POLY_MAX, box.Max(axis), *it));
1219	}
1220
1221	stable_sort(splitCandidates.begin(), splitCandidates.end());
1222	}
1223
1224
1225	float BspTree::BestCostRatio(const PolygonContainer &polys,
1226	const AxisAlignedBox3 &box,
1227	const int axis,
1228	float &position,
1229	int &objectsBack,
1230	int &objectsFront) const
1231	{
1232	vector<SortableEntry> splitCandidates;
1233
1234	SortSplitCandidates(polys, axis, splitCandidates);
1235
1236	// go through the lists, count the number of objects left and right
1237	// and evaluate the following cost funcion:
1238	// C = ct_div_ci + (ol + or)/queries
1239
1240	int objectsLeft = 0, objectsRight = (int)polys.size();
1241
1242	float minBox = box.Min(axis);
1243	float maxBox = box.Max(axis);
1244	float boxArea = box.SurfaceArea();
1245
1246	float minBand = minBox + mSplitBorder * (maxBox - minBox);
1247	float maxBand = minBox + (1.0f - mSplitBorder) * (maxBox - minBox);
1248
1249	float minSum = 1e20f;
1250	vector<SortableEntry>::const_iterator ci, ci_end = splitCandidates.end();
1251
1252	for(ci = splitCandidates.begin(); ci != ci_end; ++ ci)
1253	{
1254	switch ((*ci).type)
1255	{
1256	case SortableEntry::POLY_MIN:
1257	++ objectsLeft;
1258	break;
1259	case SortableEntry::POLY_MAX:
1260	-- objectsRight;
1261	break;
1262	default:
1263	break;
1264	}
1265
1266	if ((ci).value > minBand && (ci).value < maxBand)
1267	{
1268	AxisAlignedBox3 lbox = box;
1269	AxisAlignedBox3 rbox = box;
1270	lbox.SetMax(axis, (*ci).value);
1271	rbox.SetMin(axis, (*ci).value);
1272
1273	const float sum = objectsLeft * lbox.SurfaceArea() +
1274	objectsRight * rbox.SurfaceArea();
1275
1276	if (sum < minSum)
1277	{
1278	minSum = sum;
1279	position = (*ci).value;
1280
1281	objectsBack = objectsLeft;
1282	objectsFront = objectsRight;
1283	}
1284	}
1285	}
1286
1287	const float oldCost = (float)polys.size();
1288	const float newCost = mAxisAlignedCtDivCi + minSum / boxArea;
1289	const float ratio = newCost / oldCost;
1290
1291
1292	#if 0
1293	Debug << "====================" << endl;
1294	Debug << "costRatio=" << ratio << " pos=" << position<<" t=" << (position - minBox)/(maxBox - minBox)
1295	<< "\t o=(" << objectsBack << "," << objectsFront << ")" << endl;
1296	#endif
1297	return ratio;
1298	}
1299
1300	bool BspTree::SelectAxisAlignedPlane(Plane3 &plane,
1301	const PolygonContainer &polys) const
1302	{
1303	AxisAlignedBox3 box;
1304	box.Initialize();
1305
1306	// create bounding box of region
1307	Polygon3::IncludeInBox(polys, box);
1308
1309	int objectsBack = 0, objectsFront = 0;
1310	int axis = 0;
1311	float costRatio = MAX_FLOAT;
1312	Vector3 position;
1313
1314	//-- area subdivision
1315	for (int i = 0; i < 3; ++ i)
1316	{
1317	float p = 0;
1318	float r = BestCostRatio(polys, box, i, p, objectsBack, objectsFront);
1319
1320	if (r < costRatio)
1321	{
1322	costRatio = r;
1323	axis = i;
1324	position = p;
1325	}
1326	}
1327
1328	if (costRatio >= mMaxCostRatio)
1329	return false;
1330
1331	Vector3 norm(0,0,0); norm[axis] = 1.0f;
1332	plane = Plane3(norm, position);
1333
1334	return true;
1335	}
1336
1337
1338	Plane3 BspTree::SelectPlane(BspLeaf *leaf, BspTraversalData &data)
1339	{
1340	if ((!mMaxPolyCandidates \|\| data.mPolygons->empty()) &&
1341	(!mMaxRayCandidates \|\| data.mRays->empty()))
1342	{
1343	Debug << "Warning: No autopartition polygon candidate available\n";
1344
1345	// return axis aligned split
1346	AxisAlignedBox3 box;
1347	box.Initialize();
1348
1349	// create bounding box of region
1350	Polygon3::IncludeInBox(*data.mPolygons, box);
1351
1352	const int axis = box.Size().DrivingAxis();
1353	const Vector3 position = (box.Min()[axis] + box.Max()[axis]) * 0.5f;
1354
1355	Vector3 norm(0,0,0); norm[axis] = 1.0f;
1356	return Plane3(norm, position);
1357	}
1358
1359	if ((mSplitPlaneStrategy & AXIS_ALIGNED) &&
1360	((int)data.mPolygons->size() > mTermMinPolysForAxisAligned) &&
1361	((int)data.mRays->size() > mTermMinRaysForAxisAligned) &&
1362	((mTermMinObjectsForAxisAligned < 0) \|\|
1363	(Polygon3::ParentObjectsSize(*data.mPolygons) > mTermMinObjectsForAxisAligned)))
1364	{
1365	Plane3 plane;
1366	if (SelectAxisAlignedPlane(plane, *data.mPolygons))
1367	return plane;
1368	}
1369
1370	// simplest strategy: just take next polygon
1371	if (mSplitPlaneStrategy & RANDOM_POLYGON)
1372	{
1373	if (!data.mPolygons->empty())
1374	{
1375	Polygon3 *nextPoly =
1376	(*data.mPolygons)[(int)RandomValue(0, (Real)((int)data.mPolygons->size() - 1))];
1377	return nextPoly->GetSupportingPlane();
1378	}
1379	else
1380	{
1381	const int candidateIdx = (int)RandomValue(0, (Real)((int)data.mRays->size() - 1));
1382	BoundedRay bRay = (data.mRays)[candidateIdx];
1383
1384	Ray *ray = bRay->mRay;
1385
1386	const Vector3 minPt = ray->Extrap(bRay->mMinT);
1387	const Vector3 maxPt = ray->Extrap(bRay->mMaxT);
1388
1389	const Vector3 pt = (maxPt + minPt) * 0.5;
1390
1391	const Vector3 normal = ray->GetDir();
1392
1393	return Plane3(normal, pt);
1394	}
1395
1396	return Plane3();
1397	}
1398
1399	// use heuristics to find appropriate plane
1400	return SelectPlaneHeuristics(leaf, data);
1401	}
1402
1403
1404	Plane3 BspTree::ChooseCandidatePlane(const BoundedRayContainer &rays) const
1405	{
1406	const int candidateIdx = (int)RandomValue(0, (Real)((int)rays.size() - 1));
1407	BoundedRay *bRay = rays[candidateIdx];
1408	Ray *ray = bRay->mRay;
1409
1410	const Vector3 minPt = ray->Extrap(bRay->mMinT);
1411	const Vector3 maxPt = ray->Extrap(bRay->mMaxT);
1412
1413	const Vector3 pt = (maxPt + minPt) * 0.5;
1414
1415	const Vector3 normal = ray->GetDir();
1416
1417	return Plane3(normal, pt);
1418	}
1419
1420	Plane3 BspTree::ChooseCandidatePlane2(const BoundedRayContainer &rays) const
1421	{
1422	Vector3 pt[3];
1423	int idx[3];
1424	int cmaxT = 0;
1425	int cminT = 0;
1426	bool chooseMin = false;
1427
1428	for (int j = 0; j < 3; j ++)
1429	{
1430	idx[j] = (int)RandomValue(0, Real((int)rays.size() * 2 - 1));
1431
1432	if (idx[j] >= (int)rays.size())
1433	{
1434	idx[j] -= (int)rays.size();
1435	chooseMin = (cminT < 2);
1436	}
1437	else
1438	chooseMin = (cmaxT < 2);
1439
1440	BoundedRay *bRay = rays[idx[j]];
1441	pt[j] = chooseMin ? bRay->mRay->Extrap(bRay->mMinT) :
1442	bRay->mRay->Extrap(bRay->mMaxT);
1443	}
1444
1445	return Plane3(pt[0], pt[1], pt[2]);
1446	}
1447
1448	Plane3 BspTree::ChooseCandidatePlane3(const BoundedRayContainer &rays) const
1449	{
1450	Vector3 pt[3];
1451
1452	int idx1 = (int)RandomValue(0, (Real)((int)rays.size() - 1));
1453	int idx2 = (int)RandomValue(0, (Real)((int)rays.size() - 1));
1454
1455	// check if rays different
1456	if (idx1 == idx2)
1457	idx2 = (idx2 + 1) % (int)rays.size();
1458
1459	const BoundedRay *ray1 = rays[idx1];
1460	const BoundedRay *ray2 = rays[idx2];
1461
1462	// normal vector of the plane parallel to both lines
1463	const Vector3 norm =
1464	Normalize(CrossProd(ray1->mRay->GetDir(), ray2->mRay->GetDir()));
1465
1466	const Vector3 orig1 = ray1->mRay->Extrap(ray1->mMinT);
1467	const Vector3 orig2 = ray2->mRay->Extrap(ray2->mMinT);
1468
1469	// vector from line 1 to line 2
1470	const Vector3 vd = orig1 - orig2;
1471
1472	// project vector on normal to get distance
1473	const float dist = DotProd(vd, norm);
1474
1475	// point on plane lies halfway between the two planes
1476	const Vector3 planePt = orig1 + norm * dist * 0.5;
1477
1478	return Plane3(norm, planePt);
1479	}
1480
1481
1482	Plane3 BspTree::SelectPlaneHeuristics(BspLeaf *leaf, BspTraversalData &data)
1483	{
1484	float lowestCost = MAX_FLOAT;
1485	Plane3 bestPlane;
1486	// intermediate plane
1487	Plane3 plane;
1488
1489	const int limit = Min((int)data.mPolygons->size(), mMaxPolyCandidates);
1490	int maxIdx = (int)data.mPolygons->size();
1491
1492	for (int i = 0; i < limit; ++ i)
1493	{
1494	// assure that no index is taken twice
1495	const int candidateIdx = (int)RandomValue(0, (Real)(-- maxIdx));
1496
1497	Polygon3 poly = (data.mPolygons)[candidateIdx];
1498
1499	// swap candidate to the end to avoid testing same plane
1500	std::swap((data.mPolygons)[maxIdx], (data.mPolygons)[candidateIdx]);
1501	//Polygon3 poly = (data.mPolygons)[(int)RandomValue(0, (int)polys.size() - 1)];
1502
1503	// evaluate current candidate
1504	const float candidateCost =
1505	SplitPlaneCost(poly->GetSupportingPlane(), data);
1506
1507	if (candidateCost < lowestCost)
1508	{
1509	bestPlane = poly->GetSupportingPlane();
1510	lowestCost = candidateCost;
1511	}
1512	}
1513
1514	//-- choose candidate planes extracted from rays
1515	for (int i = 0; i < mMaxRayCandidates; ++ i)
1516	{
1517	plane = ChooseCandidatePlane3(*data.mRays);
1518	const float candidateCost = SplitPlaneCost(plane, data);
1519
1520	if (candidateCost < lowestCost)
1521	{
1522	bestPlane = plane;
1523	lowestCost = candidateCost;
1524	}
1525	}
1526
1527	#ifdef _DEBUG
1528	Debug << "plane lowest cost: " << lowestCost << endl;
1529	#endif
1530
1531	return bestPlane;
1532	}
1533
1534
1535	float BspTree::SplitPlaneCost(const Plane3 &candidatePlane,
1536	const PolygonContainer &polys) const
1537	{
1538	float val = 0;
1539
1540	float sumBalancedPolys = 0;
1541	float sumSplits = 0;
1542	float sumPolyArea = 0;
1543	float sumBalancedViewCells = 0;
1544	float sumBlockedRays = 0;
1545	float totalBlockedRays = 0;
1546	//float totalArea = 0;
1547	int totalViewCells = 0;
1548
1549	// need three unique ids for each type of view cell
1550	// for balanced view cells criterium
1551	ViewCell::NewMail();
1552	const int backId = ViewCell::sMailId;
1553	ViewCell::NewMail();
1554	const int frontId = ViewCell::sMailId;
1555	ViewCell::NewMail();
1556	const int frontAndBackId = ViewCell::sMailId;
1557
1558	bool useRand;
1559	int limit;
1560
1561	// choose test polyongs randomly if over threshold
1562	if ((int)polys.size() > mMaxTests)
1563	{
1564	useRand = true;
1565	limit = mMaxTests;
1566	}
1567	else
1568	{
1569	useRand = false;
1570	limit = (int)polys.size();
1571	}
1572
1573	for (int i = 0; i < limit; ++ i)
1574	{
1575	const int testIdx = useRand ? (int)RandomValue(0, (Real)(limit - 1)) : i;
1576
1577	Polygon3 *poly = polys[testIdx];
1578
1579	const int classification =
1580	poly->ClassifyPlane(candidatePlane, mEpsilon);
1581
1582	if (mSplitPlaneStrategy & BALANCED_POLYS)
1583	sumBalancedPolys += sBalancedPolysTable[classification];
1584
1585	if (mSplitPlaneStrategy & LEAST_SPLITS)
1586	sumSplits += sLeastPolySplitsTable[classification];
1587
1588	if (mSplitPlaneStrategy & LARGEST_POLY_AREA)
1589	{
1590	if (classification == Polygon3::COINCIDENT)
1591	sumPolyArea += poly->GetArea();
1592	//totalArea += area;
1593	}
1594
1595	if (mSplitPlaneStrategy & BLOCKED_RAYS)
1596	{
1597	const float blockedRays = (float)poly->mPiercingRays.size();
1598
1599	if (classification == Polygon3::COINCIDENT)
1600	sumBlockedRays += blockedRays;
1601
1602	totalBlockedRays += blockedRays;
1603	}
1604
1605	// assign view cells to back or front according to classificaion
1606	if (mSplitPlaneStrategy & BALANCED_VIEW_CELLS)
1607	{
1608	MeshInstance *viewCell = poly->mParent;
1609
1610	// assure that we only count a view cell
1611	// once for the front and once for the back side of the plane
1612	if (classification == Polygon3::FRONT_SIDE)
1613	{
1614	if ((viewCell->mMailbox != frontId) &&
1615	(viewCell->mMailbox != frontAndBackId))
1616	{
1617	sumBalancedViewCells += 1.0;
1618
1619	if (viewCell->mMailbox != backId)
1620	viewCell->mMailbox = frontId;
1621	else
1622	viewCell->mMailbox = frontAndBackId;
1623
1624	++ totalViewCells;
1625	}
1626	}
1627	else if (classification == Polygon3::BACK_SIDE)
1628	{
1629	if ((viewCell->mMailbox != backId) &&
1630	(viewCell->mMailbox != frontAndBackId))
1631	{
1632	sumBalancedViewCells -= 1.0;
1633
1634	if (viewCell->mMailbox != frontId)
1635	viewCell->mMailbox = backId;
1636	else
1637	viewCell->mMailbox = frontAndBackId;
1638
1639	++ totalViewCells;
1640	}
1641	}
1642	}
1643	}
1644
1645	const float polysSize = (float)polys.size() + Limits::Small;
1646
1647	// all values should be approx. between 0 and 1 so they can be combined
1648	// and scaled with the factors according to their importance
1649	if (mSplitPlaneStrategy & BALANCED_POLYS)
1650	val += mBalancedPolysFactor * fabs(sumBalancedPolys) / polysSize;
1651
1652	if (mSplitPlaneStrategy & LEAST_SPLITS)
1653	val += mLeastSplitsFactor * sumSplits / polysSize;
1654
1655	if (mSplitPlaneStrategy & LARGEST_POLY_AREA)
1656	// HACK: polys.size should be total area so scaling is between 0 and 1
1657	val += mLargestPolyAreaFactor * (float)polys.size() / sumPolyArea;
1658
1659	if (mSplitPlaneStrategy & BLOCKED_RAYS)
1660	if (totalBlockedRays != 0)
1661	val += mBlockedRaysFactor * (totalBlockedRays - sumBlockedRays) / totalBlockedRays;
1662
1663	if (mSplitPlaneStrategy & BALANCED_VIEW_CELLS)
1664	val += mBalancedViewCellsFactor * fabs(sumBalancedViewCells) /
1665	((float)totalViewCells + Limits::Small);
1666
1667	return val;
1668	}
1669
1670
1671	inline void BspTree::GenerateUniqueIdsForPvs()
1672	{
1673	ViewCell::NewMail(); sBackId = ViewCell::sMailId;
1674	ViewCell::NewMail(); sFrontId = ViewCell::sMailId;
1675	ViewCell::NewMail(); sFrontAndBackId = ViewCell::sMailId;
1676	}
1677
1678
1679	float BspTree::SplitPlaneCost(const Plane3 &candidatePlane,
1680	const BoundedRayContainer &rays,
1681	const int pvs,
1682	const float probability,
1683	const BspNodeGeometry &cell) const
1684	{
1685	float val = 0;
1686
1687	float sumBalancedRays = 0;
1688	float sumRaySplits = 0;
1689
1690	int frontPvs = 0;
1691	int backPvs = 0;
1692
1693	// probability that view point lies in child
1694	float pOverall = 0;
1695	float pFront = 0;
1696	float pBack = 0;
1697
1698	const bool pvsUseLen = false;
1699
1700	if (mSplitPlaneStrategy & PVS)
1701	{
1702	// create unique ids for pvs heuristics
1703	GenerateUniqueIdsForPvs();
1704
1705	// construct child geometry with regard to the candidate split plane
1706	BspNodeGeometry frontCell;
1707	BspNodeGeometry backCell;
1708
1709	cell.SplitGeometry(frontCell,
1710	backCell,
1711	candidatePlane,
1712	mBox,
1713	mEpsilon);
1714
1715	if (mUseAreaForPvs)
1716	{
1717	pFront = frontCell.GetArea();
1718	pBack = backCell.GetArea();
1719	}
1720	else
1721	{
1722	pFront = frontCell.GetVolume();
1723	pBack = pOverall - pFront;
1724	}
1725
1726
1727	pOverall = probability;
1728	}
1729
1730	bool useRand;
1731	int limit;
1732
1733	// choose test polyongs randomly if over threshold
1734	if ((int)rays.size() > mMaxTests)
1735	{
1736	useRand = true;
1737	limit = mMaxTests;
1738	}
1739	else
1740	{
1741	useRand = false;
1742	limit = (int)rays.size();
1743	}
1744
1745	for (int i = 0; i < limit; ++ i)
1746	{
1747	const int testIdx = useRand ? (int)RandomValue(0, (Real)(limit - 1)) : i;
1748
1749	BoundedRay *bRay = rays[testIdx];
1750
1751	Ray *ray = bRay->mRay;
1752	const float minT = bRay->mMinT;
1753	const float maxT = bRay->mMaxT;
1754
1755	Vector3 entP, extP;
1756
1757	const int cf =
1758	ray->ClassifyPlane(candidatePlane, minT, maxT, entP, extP);
1759
1760	if (mSplitPlaneStrategy & LEAST_RAY_SPLITS)
1761	{
1762	sumBalancedRays += sBalancedRaysTable[cf];
1763	}
1764
1765	if (mSplitPlaneStrategy & BALANCED_RAYS)
1766	{
1767	sumRaySplits += sLeastRaySplitsTable[cf];
1768	}
1769
1770	if (mSplitPlaneStrategy & PVS)
1771	{
1772	// in case the ray intersects an object
1773	// assure that we only count the object
1774	// once for the front and once for the back side of the plane
1775
1776	// add the termination object
1777	if (!ray->intersections.empty())
1778	AddObjToPvs(ray->intersections[0].mObject, cf, frontPvs, backPvs);
1779
1780	// add the source object
1781	AddObjToPvs(ray->sourceObject.mObject, cf, frontPvs, backPvs);
1782	}
1783	}
1784
1785	const float raysSize = (float)rays.size() + Limits::Small;
1786
1787	if (mSplitPlaneStrategy & LEAST_RAY_SPLITS)
1788	val += mLeastRaySplitsFactor * sumRaySplits / raysSize;
1789
1790	if (mSplitPlaneStrategy & BALANCED_RAYS)
1791	val += mBalancedRaysFactor * fabs(sumBalancedRays) / raysSize;
1792
1793	const float denom = pOverall * (float)pvs * 2.0f + Limits::Small;
1794
1795	if (mSplitPlaneStrategy & PVS)
1796	{
1797	val += mPvsFactor * (frontPvs * pFront + (backPvs * pBack)) / denom;
1798
1799	// give penalty to unbalanced split
1800	if (0)
1801	if (((pFront * 0.2 + Limits::Small) > pBack) \|\|
1802	(pFront < (pBack * 0.2 + Limits::Small)))
1803	val += 0.5;
1804	}
1805
1806
1807	#ifdef _DEBUG
1808	Debug << "totalpvs: " << pvs << " ptotal: " << pOverall
1809	<< " frontpvs: " << frontPvs << " pFront: " << pFront
1810	<< " backpvs: " << backPvs << " pBack: " << pBack << endl << endl;
1811	#endif
1812
1813	return val;
1814	}
1815
1816	void BspTree::AddObjToPvs(Intersectable *obj,
1817	const int cf,
1818	int &frontPvs,
1819	int &backPvs) const
1820	{
1821	if (!obj)
1822	return;
1823	// TODO: does this really belong to no pvs?
1824	//if (cf == Ray::COINCIDENT) return;
1825
1826	// object belongs to both PVS
1827	const bool bothSides = (cf == Ray::FRONT_BACK) \|\|
1828	(cf == Ray::BACK_FRONT) \|\|
1829	(cf == Ray::COINCIDENT);
1830
1831	if ((cf == Ray::FRONT) \|\| bothSides)
1832	{
1833	if ((obj->mMailbox != sFrontId) &&
1834	(obj->mMailbox != sFrontAndBackId))
1835	{
1836	++ frontPvs;
1837
1838	if (obj->mMailbox == sBackId)
1839	obj->mMailbox = sFrontAndBackId;
1840	else
1841	obj->mMailbox = sFrontId;
1842	}
1843	}
1844
1845	if ((cf == Ray::BACK) \|\| bothSides)
1846	{
1847	if ((obj->mMailbox != sBackId) &&
1848	(obj->mMailbox != sFrontAndBackId))
1849	{
1850	++ backPvs;
1851
1852	if (obj->mMailbox == sFrontId)
1853	obj->mMailbox = sFrontAndBackId;
1854	else
1855	obj->mMailbox = sBackId;
1856	}
1857	}
1858	}
1859
1860
1861	float BspTree::SplitPlaneCost(const Plane3 &candidatePlane,
1862	BspTraversalData &data) const
1863	{
1864	float val = 0;
1865
1866	if (mSplitPlaneStrategy & VERTICAL_AXIS)
1867	{
1868	Vector3 tinyAxis(0,0,0); tinyAxis[mBox.Size().TinyAxis()] = 1.0f;
1869	// we put a penalty on the dot product between the "tiny" vertical axis
1870	// and the split plane axis
1871	val += mVerticalSplitsFactor *
1872	fabs(DotProd(candidatePlane.mNormal, tinyAxis));
1873	}
1874
1875	// the following criteria loop over all polygons to find the cost value
1876	if ((mSplitPlaneStrategy & BALANCED_POLYS) \|\|
1877	(mSplitPlaneStrategy & LEAST_SPLITS) \|\|
1878	(mSplitPlaneStrategy & LARGEST_POLY_AREA) \|\|
1879	(mSplitPlaneStrategy & BALANCED_VIEW_CELLS) \|\|
1880	(mSplitPlaneStrategy & BLOCKED_RAYS))
1881	{
1882	val += SplitPlaneCost(candidatePlane, *data.mPolygons);
1883	}
1884
1885	// the following criteria loop over all rays to find the cost value
1886	if ((mSplitPlaneStrategy & BALANCED_RAYS) \|\|
1887	(mSplitPlaneStrategy & LEAST_RAY_SPLITS) \|\|
1888	(mSplitPlaneStrategy & PVS))
1889	{
1890	val += SplitPlaneCost(candidatePlane, *data.mRays, data.mPvs,
1891	data.mProbability, *data.mGeometry);
1892	}
1893
1894	// return linear combination of the sums
1895	return val;
1896	}
1897
1898	void BspTree::CollectLeaves(vector<BspLeaf *> &leaves) const
1899	{
1900	stack<BspNode *> nodeStack;
1901	nodeStack.push(mRoot);
1902
1903	while (!nodeStack.empty())
1904	{
1905	BspNode *node = nodeStack.top();
1906
1907	nodeStack.pop();
1908
1909	if (node->IsLeaf())
1910	{
1911	BspLeaf leaf = (BspLeaf )node;
1912	leaves.push_back(leaf);
1913	}
1914	else
1915	{
1916	BspInterior interior = dynamic_cast<BspInterior >(node);
1917
1918	nodeStack.push(interior->GetBack());
1919	nodeStack.push(interior->GetFront());
1920	}
1921	}
1922	}
1923
1924
1925	AxisAlignedBox3 BspTree::GetBoundingBox() const
1926	{
1927	return mBox;
1928	}
1929
1930
1931	void BspTree::EvaluateLeafStats(const BspTraversalData &data)
1932	{
1933	// the node became a leaf -> evaluate stats for leafs
1934	BspLeaf leaf = dynamic_cast<BspLeaf >(data.mNode);
1935
1936	// store maximal and minimal depth
1937	if (data.mDepth > mStat.maxDepth)
1938	mStat.maxDepth = data.mDepth;
1939
1940	if (data.mDepth < mStat.minDepth)
1941	mStat.minDepth = data.mDepth;
1942
1943	// accumulate depth to compute average depth
1944	mStat.accumDepth += data.mDepth;
1945	// accumulate rays to compute rays / leaf
1946	mStat.accumRays += (int)data.mRays->size();
1947
1948	if (data.mDepth >= mTermMaxDepth)
1949	++ mStat.maxDepthNodes;
1950
1951	if (data.mPvs < mTermMinPvs)
1952	++ mStat.minPvsNodes;
1953
1954	if ((int)data.mRays->size() < mTermMinRays)
1955	++ mStat.minRaysNodes;
1956
1957	if (data.GetAvgRayContribution() > mTermMaxRayContribution)
1958	++ mStat.maxRayContribNodes;
1959
1960	if (data.mProbability <= mTermMinProbability)
1961	++ mStat.minProbabilityNodes;
1962
1963	#ifdef _DEBUG
1964	Debug << "BSP stats: "
1965	<< "Depth: " << data.mDepth << " (max: " << mTermMaxDepth << "), "
1966	<< "PVS: " << data.mPvs << " (min: " << mTermMinPvs << "), "
1967	<< "Probability: " << data.mProbability << " (min: " << mTermMinProbability << "), "
1968	<< "#polygons: " << (int)data.mPolygons->size() << " (max: " << mTermMinPolys << "), "
1969	<< "#rays: " << (int)data.mRays->size() << " (max: " << mTermMinRays << "), "
1970	<< "#pvs: " << leaf->GetViewCell()->GetPvs().GetSize() << "=, "
1971	<< "#avg ray contrib (pvs): " << (float)data.mPvs / (float)data.mRays->size() << endl;
1972	#endif
1973	}
1974
1975	int
1976	BspTree::_CastRay(Ray &ray)
1977	{
1978	int hits = 0;
1979
1980	stack<BspRayTraversalData> tStack;
1981
1982	float maxt, mint;
1983
1984	if (!mBox.GetRaySegment(ray, mint, maxt))
1985	return 0;
1986
1987	ViewCell::NewMail();
1988
1989	Vector3 entp = ray.Extrap(mint);
1990	Vector3 extp = ray.Extrap(maxt);
1991
1992	BspNode *node = mRoot;
1993	BspNode *farChild = NULL;
1994
1995	while (1)
1996	{
1997	if (!node->IsLeaf())
1998	{
1999	BspInterior in = dynamic_cast<BspInterior >(node);
2000
2001	Plane3 splitPlane = in->GetPlane();
2002	const int entSide = splitPlane.Side(entp);
2003	const int extSide = splitPlane.Side(extp);
2004
2005	if (entSide < 0)
2006	{
2007	node = in->GetBack();
2008
2009	if(extSide <= 0) // plane does not split ray => no far child
2010	continue;
2011
2012	farChild = in->GetFront(); // plane splits ray
2013
2014	} else if (entSide > 0)
2015	{
2016	node = in->GetFront();
2017
2018	if (extSide >= 0) // plane does not split ray => no far child
2019	continue;
2020
2021	farChild = in->GetBack(); // plane splits ray
2022	}
2023	else // ray and plane are coincident
2024	{
2025	// WHAT TO DO IN THIS CASE ?
2026	//break;
2027	node = in->GetFront();
2028	continue;
2029	}
2030
2031	// push data for far child
2032	tStack.push(BspRayTraversalData(farChild, extp, maxt));
2033
2034	// find intersection of ray segment with plane
2035	float t;
2036	extp = splitPlane.FindIntersection(ray.GetLoc(), extp, &t);
2037	maxt *= t;
2038
2039	} else // reached leaf => intersection with view cell
2040	{
2041	BspLeaf leaf = dynamic_cast<BspLeaf >(node);
2042
2043	if (!leaf->mViewCell->Mailed())
2044	{
2045	//ray.bspIntersections.push_back(Ray::BspIntersection(maxt, leaf));
2046	leaf->mViewCell->Mail();
2047	++ hits;
2048	}
2049
2050	//-- fetch the next far child from the stack
2051	if (tStack.empty())
2052	break;
2053
2054	entp = extp;
2055	mint = maxt; // NOTE: need this?
2056
2057	if (ray.GetType() == Ray::LINE_SEGMENT && mint > 1.0f)
2058	break;
2059
2060	BspRayTraversalData &s = tStack.top();
2061
2062	node = s.mNode;
2063	extp = s.mExitPoint;
2064	maxt = s.mMaxT;
2065
2066	tStack.pop();
2067	}
2068	}
2069
2070	return hits;
2071	}
2072
2073
2074	int BspTree::CastLineSegment(const Vector3 &origin,
2075	const Vector3 &termination,
2076	vector<ViewCell *> &viewcells)
2077	{
2078	int hits = 0;
2079	stack<BspRayTraversalData> tStack;
2080
2081	float mint = 0.0f, maxt = 1.0f;
2082
2083	Intersectable::NewMail();
2084	ViewCell::NewMail();
2085
2086	Vector3 entp = origin;
2087	Vector3 extp = termination;
2088
2089	BspNode *node = mRoot;
2090	BspNode *farChild = NULL;
2091
2092	const float thresh = 1 ? 1e-6f : 0.0f;
2093
2094	while (1)
2095	{
2096	if (!node->IsLeaf())
2097	{
2098	BspInterior in = dynamic_cast<BspInterior >(node);
2099
2100	Plane3 splitPlane = in->GetPlane();
2101
2102	const int entSide = splitPlane.Side(entp, thresh);
2103	const int extSide = splitPlane.Side(extp, thresh);
2104
2105	if (entSide < 0)
2106	{
2107	node = in->GetBack();
2108
2109	if(extSide <= 0) // plane does not split ray => no far child
2110	continue;
2111
2112	farChild = in->GetFront(); // plane splits ray
2113
2114	}
2115	else if (entSide > 0)
2116	{
2117	node = in->GetFront();
2118
2119	if (extSide >= 0) // plane does not split ray => no far child
2120	continue;
2121
2122	farChild = in->GetBack(); // plane splits ray
2123	}
2124	else // ray and plane are coincident
2125	{
2126	// NOTE: what to do if ray is coincident with plane?
2127	if (extSide < 0)
2128	node = in->GetBack();
2129	else
2130	node = in->GetFront();
2131
2132	continue; // no far child
2133	}
2134
2135	// push data for far child
2136	tStack.push(BspRayTraversalData(farChild, extp, maxt));
2137
2138	// find intersection of ray segment with plane
2139	float t;
2140	extp = splitPlane.FindIntersection(origin, extp, &t);
2141	maxt *= t;
2142	}
2143	else
2144	{
2145	// reached leaf => intersection with view cell
2146	BspLeaf leaf = dynamic_cast<BspLeaf >(node);
2147
2148	if (!leaf->mViewCell->Mailed())
2149	{
2150	viewcells.push_back(leaf->mViewCell);
2151	leaf->mViewCell->Mail();
2152	hits++;
2153	}
2154
2155	//-- fetch the next far child from the stack
2156	if (tStack.empty())
2157	break;
2158
2159	entp = extp;
2160	mint = maxt; // NOTE: need this?
2161
2162	BspRayTraversalData &s = tStack.top();
2163
2164	node = s.mNode;
2165	extp = s.mExitPoint;
2166	maxt = s.mMaxT;
2167
2168	tStack.pop();
2169	}
2170	}
2171	return hits;
2172	}
2173
2174
2175	void BspTree::CollectViewCells(ViewCellContainer &viewCells) const
2176	{
2177	stack<BspNode *> nodeStack;
2178	nodeStack.push(mRoot);
2179
2180	ViewCell::NewMail();
2181
2182	while (!nodeStack.empty())
2183	{
2184	BspNode *node = nodeStack.top();
2185	nodeStack.pop();
2186
2187	if (node->IsLeaf())
2188	{
2189	ViewCell viewCell = dynamic_cast<BspLeaf >(node)->mViewCell;
2190
2191	if (!viewCell->Mailed())
2192	{
2193	viewCell->Mail();
2194	viewCells.push_back(viewCell);
2195	}
2196	}
2197	else
2198	{
2199	BspInterior interior = dynamic_cast<BspInterior >(node);
2200
2201	nodeStack.push(interior->GetFront());
2202	nodeStack.push(interior->GetBack());
2203	}
2204	}
2205	}
2206
2207
2208	BspTreeStatistics &BspTree::GetStat()
2209	{
2210	return mStat;
2211	}
2212
2213
2214	float BspTree::AccumulatedRayLength(BoundedRayContainer &rays) const
2215	{
2216	float len = 0;
2217
2218	BoundedRayContainer::const_iterator it, it_end = rays.end();
2219
2220	for (it = rays.begin(); it != it_end; ++ it)
2221	{
2222	len += SqrDistance((it)->mRay->Extrap((it)->mMinT),
2223	(it)->mRay->Extrap((it)->mMaxT));
2224	}
2225
2226	return len;
2227	}
2228
2229
2230	int BspTree::SplitRays(const Plane3 &plane,
2231	BoundedRayContainer &rays,
2232	BoundedRayContainer &frontRays,
2233	BoundedRayContainer &backRays)
2234	{
2235	int splits = 0;
2236
2237	while (!rays.empty())
2238	{
2239	BoundedRay *bRay = rays.back();
2240	Ray *ray = bRay->mRay;
2241	float minT = bRay->mMinT;
2242	float maxT = bRay->mMaxT;
2243
2244	rays.pop_back();
2245
2246	Vector3 entP, extP;
2247
2248	const int cf =
2249	ray->ClassifyPlane(plane, minT, maxT, entP, extP);
2250
2251	// set id to ray classification
2252	ray->SetId(cf);
2253
2254	switch (cf)
2255	{
2256	case Ray::COINCIDENT: // TODO: should really discard ray?
2257	frontRays.push_back(bRay);
2258	//DEL_PTR(bRay);
2259	break;
2260	case Ray::BACK:
2261	backRays.push_back(bRay);
2262	break;
2263	case Ray::FRONT:
2264	frontRays.push_back(bRay);
2265	break;
2266	case Ray::FRONT_BACK:
2267	{
2268	// find intersection of ray segment with plane
2269	const float t = plane.FindT(ray->GetLoc(), extP);
2270
2271	const float newT = t * maxT;
2272
2273	frontRays.push_back(new BoundedRay(ray, minT, newT));
2274	backRays.push_back(new BoundedRay(ray, newT, maxT));
2275
2276	DEL_PTR(bRay);
2277	}
2278	break;
2279	case Ray::BACK_FRONT:
2280	{
2281	// find intersection of ray segment with plane
2282	const float t = plane.FindT(ray->GetLoc(), extP);
2283	const float newT = t * bRay->mMaxT;
2284
2285	backRays.push_back(new BoundedRay(ray, minT, newT));
2286	frontRays.push_back(new BoundedRay(ray, newT, maxT));
2287
2288	DEL_PTR(bRay);
2289
2290	++ splits;
2291	}
2292	break;
2293	default:
2294	Debug << "Should not come here 4" << endl;
2295	break;
2296	}
2297	}
2298
2299	return splits;
2300	}
2301
2302	void BspTree::ExtractHalfSpaces(BspNode *n, vector<Plane3> &halfSpaces) const
2303	{
2304	BspNode *lastNode;
2305	do
2306	{
2307	lastNode = n;
2308
2309	// want to get planes defining geometry of this node => don't take
2310	// split plane of node itself
2311	n = n->GetParent();
2312
2313	if (n)
2314	{
2315	BspInterior interior = dynamic_cast<BspInterior >(n);
2316	Plane3 halfSpace = dynamic_cast<BspInterior *>(interior)->GetPlane();
2317
2318	if (interior->GetFront() != lastNode)
2319	halfSpace.ReverseOrientation();
2320
2321	halfSpaces.push_back(halfSpace);
2322	}
2323	}
2324	while (n);
2325	}
2326
2327
2328
2329	void BspTree::ConstructGeometry(ViewCell *vc,
2330	BspNodeGeometry &vcGeom) const
2331	{
2332	ViewCellContainer leaves;
2333	mViewCellsTree->CollectLeaves(vc, leaves);
2334
2335	ViewCellContainer::const_iterator it, it_end = leaves.end();
2336
2337	for (it = leaves.begin(); it != it_end; ++ it)
2338	{
2339	BspLeaf l = dynamic_cast<BspViewCell >(*it)->mLeaf;
2340	ConstructGeometry(l, vcGeom);
2341	}
2342	}
2343
2344
2345	void BspTree::SetViewCellsManager(ViewCellsManager *vcm)
2346	{
2347	mViewCellsManager = vcm;
2348	}
2349
2350
2351	void BspTree::ConstructGeometry(BspNode *n, BspNodeGeometry &geom) const
2352	{
2353	vector<Plane3> halfSpaces;
2354	ExtractHalfSpaces(n, halfSpaces);
2355
2356	PolygonContainer candidates;
2357
2358	// bounded planes are added to the polygons (reverse polygons
2359	// as they have to be outfacing
2360	for (int i = 0; i < (int)halfSpaces.size(); ++ i)
2361	{
2362	Polygon3 *p = GetBoundingBox().CrossSection(halfSpaces[i]);
2363
2364	if (p->Valid(mEpsilon))
2365	{
2366	candidates.push_back(p->CreateReversePolygon());
2367	DEL_PTR(p);
2368	}
2369	}
2370
2371	// add faces of bounding box (also could be faces of the cell)
2372	for (int i = 0; i < 6; ++ i)
2373	{
2374	VertexContainer vertices;
2375
2376	for (int j = 0; j < 4; ++ j)
2377	vertices.push_back(mBox.GetFace(i).mVertices[j]);
2378
2379	candidates.push_back(new Polygon3(vertices));
2380	}
2381
2382	for (int i = 0; i < (int)candidates.size(); ++ i)
2383	{
2384	// polygon is split by all other planes
2385	for (int j = 0; (j < (int)halfSpaces.size()) && candidates[i]; ++ j)
2386	{
2387	if (i == j) // polygon and plane are coincident
2388	continue;
2389
2390	VertexContainer splitPts;
2391	Polygon3 frontPoly, backPoly;
2392
2393	const int cf = candidates[i]->
2394	ClassifyPlane(halfSpaces[j], mEpsilon);
2395
2396	switch (cf)
2397	{
2398	case Polygon3::SPLIT:
2399	frontPoly = new Polygon3();
2400	backPoly = new Polygon3();
2401
2402	candidates[i]->Split(halfSpaces[j],
2403	*frontPoly,
2404	*backPoly,
2405	mEpsilon);
2406
2407	DEL_PTR(candidates[i]);
2408
2409	if (frontPoly->Valid(mEpsilon))
2410	candidates[i] = frontPoly;
2411	else
2412	DEL_PTR(frontPoly);
2413
2414	DEL_PTR(backPoly);
2415	break;
2416	case Polygon3::BACK_SIDE:
2417	DEL_PTR(candidates[i]);
2418	break;
2419	// just take polygon as it is
2420	case Polygon3::FRONT_SIDE:
2421	case Polygon3::COINCIDENT:
2422	default:
2423	break;
2424	}
2425	}
2426
2427	if (candidates[i])
2428	geom.mPolys.push_back(candidates[i]);
2429	}
2430	}
2431
2432
2433	typedef pair<BspNode , BspNodeGeometry > bspNodePair;
2434
2435
2436	int BspTree::FindNeighbors(BspNode n, vector<BspLeaf > &neighbors,
2437	const bool onlyUnmailed) const
2438	{
2439	stack<bspNodePair> nodeStack;
2440
2441	BspNodeGeometry nodeGeom;
2442	ConstructGeometry(n, nodeGeom);
2443
2444	// split planes from the root to this node
2445	// needed to verify that we found neighbor leaf
2446	// TODO: really needed?
2447	vector<Plane3> halfSpaces;
2448	ExtractHalfSpaces(n, halfSpaces);
2449
2450
2451	BspNodeGeometry *rgeom = new BspNodeGeometry();
2452	ConstructGeometry(mRoot, *rgeom);
2453
2454	nodeStack.push(bspNodePair(mRoot, rgeom));
2455
2456	while (!nodeStack.empty())
2457	{
2458	BspNode *node = nodeStack.top().first;
2459	BspNodeGeometry *geom = nodeStack.top().second;
2460
2461	nodeStack.pop();
2462
2463	if (node->IsLeaf())
2464	{
2465	// test if this leaf is in valid view space
2466	if (node->TreeValid() &&
2467	(node != n) &&
2468	(!onlyUnmailed \|\| !node->Mailed()))
2469	{
2470	bool isAdjacent = true;
2471
2472	if (1)
2473	{
2474	// test all planes of current node if still adjacent
2475	for (int i = 0; (i < halfSpaces.size()) && isAdjacent; ++ i)
2476	{
2477	const int cf =
2478	Polygon3::ClassifyPlane(geom->mPolys,
2479	halfSpaces[i],
2480	mEpsilon);
2481
2482	if (cf == Polygon3::BACK_SIDE)
2483	{
2484	isAdjacent = false;
2485	}
2486	}
2487	}
2488	else
2489	{
2490	// TODO: why is this wrong??
2491	// test all planes of current node if still adjacent
2492	for (int i = 0; (i < (int)nodeGeom.mPolys.size()) && isAdjacent; ++ i)
2493	{
2494	Polygon3 *poly = nodeGeom.mPolys[i];
2495
2496	const int cf =
2497	Polygon3::ClassifyPlane(geom->mPolys,
2498	poly->GetSupportingPlane(),
2499	mEpsilon);
2500
2501	if (cf == Polygon3::BACK_SIDE)
2502	{
2503	isAdjacent = false;
2504	}
2505	}
2506	}
2507	// neighbor was found
2508	if (isAdjacent)
2509	{
2510	neighbors.push_back(dynamic_cast<BspLeaf *>(node));
2511	}
2512	}
2513	}
2514	else
2515	{
2516	BspInterior interior = dynamic_cast<BspInterior >(node);
2517
2518	const int cf = Polygon3::ClassifyPlane(nodeGeom.mPolys,
2519	interior->GetPlane(),
2520	mEpsilon);
2521
2522	BspNode *front = interior->GetFront();
2523	BspNode *back = interior->GetBack();
2524
2525	BspNodeGeometry *fGeom = new BspNodeGeometry();
2526	BspNodeGeometry *bGeom = new BspNodeGeometry();
2527
2528	geom->SplitGeometry(*fGeom,
2529	*bGeom,
2530	interior->GetPlane(),
2531	mBox,
2532	mEpsilon);
2533
2534	if (cf == Polygon3::FRONT_SIDE)
2535	{
2536	nodeStack.push(bspNodePair(interior->GetFront(), fGeom));
2537	DEL_PTR(bGeom);
2538	}
2539	else
2540	{
2541	if (cf == Polygon3::BACK_SIDE)
2542	{
2543	nodeStack.push(bspNodePair(interior->GetBack(), bGeom));
2544	DEL_PTR(fGeom);
2545	}
2546	else
2547	{ // random decision
2548	nodeStack.push(bspNodePair(front, fGeom));
2549	nodeStack.push(bspNodePair(back, bGeom));
2550	}
2551	}
2552	}
2553
2554	DEL_PTR(geom);
2555	}
2556
2557	return (int)neighbors.size();
2558	}
2559
2560
2561	BspLeaf *BspTree::GetRandomLeaf(const Plane3 &halfspace)
2562	{
2563	stack<BspNode *> nodeStack;
2564	nodeStack.push(mRoot);
2565
2566	int mask = rand();
2567
2568	while (!nodeStack.empty())
2569	{
2570	BspNode *node = nodeStack.top();
2571	nodeStack.pop();
2572
2573	if (node->IsLeaf())
2574	{
2575	return dynamic_cast<BspLeaf *>(node);
2576	}
2577	else
2578	{
2579	BspInterior interior = dynamic_cast<BspInterior >(node);
2580	BspNode *next;
2581
2582	BspNodeGeometry geom;
2583	// todo: not very efficient: constructs full cell everytime
2584	ConstructGeometry(interior, geom);
2585
2586	const int cf = Polygon3::ClassifyPlane(geom.mPolys,
2587	halfspace,
2588	mEpsilon);
2589
2590	if (cf == Polygon3::BACK_SIDE)
2591	next = interior->GetFront();
2592	else
2593	if (cf == Polygon3::FRONT_SIDE)
2594	next = interior->GetFront();
2595	else
2596	{
2597	// random decision
2598	if (mask & 1)
2599	next = interior->GetBack();
2600	else
2601	next = interior->GetFront();
2602	mask = mask >> 1;
2603	}
2604
2605	nodeStack.push(next);
2606	}
2607	}
2608
2609	return NULL;
2610	}
2611
2612
2613	BspLeaf *BspTree::GetRandomLeaf(const bool onlyUnmailed)
2614	{
2615	stack<BspNode *> nodeStack;
2616
2617	nodeStack.push(mRoot);
2618
2619	int mask = rand();
2620
2621	while (!nodeStack.empty())
2622	{
2623	BspNode *node = nodeStack.top();
2624	nodeStack.pop();
2625
2626	if (node->IsLeaf())
2627	{
2628	if ( (!onlyUnmailed \|\| !node->Mailed()) )
2629	return dynamic_cast<BspLeaf *>(node);
2630	}
2631	else
2632	{
2633	BspInterior interior = dynamic_cast<BspInterior >(node);
2634
2635	// random decision
2636	if (mask & 1)
2637	nodeStack.push(interior->GetBack());
2638	else
2639	nodeStack.push(interior->GetFront());
2640
2641	mask = mask >> 1;
2642	}
2643	}
2644
2645	return NULL;
2646	}
2647
2648
2649	void BspTree::AddToPvs(BspLeaf *leaf,
2650	const BoundedRayContainer &rays,
2651	int &sampleContributions,
2652	int &contributingSamples)
2653	{
2654	sampleContributions = 0;
2655	contributingSamples = 0;
2656
2657	BoundedRayContainer::const_iterator it, it_end = rays.end();
2658
2659	ViewCell *vc = leaf->GetViewCell();
2660
2661	// add contributions from samples to the PVS
2662	for (it = rays.begin(); it != it_end; ++ it)
2663	{
2664	int contribution = 0;
2665	Ray ray = (it)->mRay;
2666	float relContribution;
2667	if (!ray->intersections.empty())
2668	contribution += vc->GetPvs().AddSample(ray->intersections[0].mObject,
2669	1.0f,
2670	relContribution);
2671
2672	if (ray->sourceObject.mObject)
2673	contribution += vc->GetPvs().AddSample(ray->sourceObject.mObject,
2674	1.0f,
2675	relContribution);
2676
2677	if (contribution)
2678	{
2679	sampleContributions += contribution;
2680	++ contributingSamples;
2681	}
2682
2683	//if (ray->mFlags & Ray::STORE_BSP_INTERSECTIONS)
2684	// ray->bspIntersections.push_back(Ray::BspIntersection((*it)->mMinT, this));
2685	}
2686	}
2687
2688
2689	int BspTree::ComputePvsSize(const BoundedRayContainer &rays) const
2690	{
2691	int pvsSize = 0;
2692
2693	BoundedRayContainer::const_iterator rit, rit_end = rays.end();
2694
2695	Intersectable::NewMail();
2696
2697	for (rit = rays.begin(); rit != rays.end(); ++ rit)
2698	{
2699	Ray ray = (rit)->mRay;
2700
2701	if (!ray->intersections.empty())
2702	{
2703	if (!ray->intersections[0].mObject->Mailed())
2704	{
2705	ray->intersections[0].mObject->Mail();
2706	++ pvsSize;
2707	}
2708	}
2709	if (ray->sourceObject.mObject)
2710	{
2711	if (!ray->sourceObject.mObject->Mailed())
2712	{
2713	ray->sourceObject.mObject->Mail();
2714	++ pvsSize;
2715	}
2716	}
2717	}
2718
2719	return pvsSize;
2720	}
2721
2722
2723	float BspTree::GetEpsilon() const
2724	{
2725	return mEpsilon;
2726	}
2727
2728
2729	int BspTree::CollectMergeCandidates(const vector<BspLeaf *> leaves,
2730	vector<MergeCandidate> &candidates)
2731	{
2732	BspLeaf::NewMail();
2733
2734	vector<BspLeaf *>::const_iterator it, it_end = leaves.end();
2735
2736	int numCandidates = 0;
2737
2738	// find merge candidates and push them into queue
2739	for (it = leaves.begin(); it != it_end; ++ it)
2740	{
2741	BspLeaf leaf = it;
2742
2743	// the same leaves must not be part of two merge candidates
2744	leaf->Mail();
2745	vector<BspLeaf *> neighbors;
2746	FindNeighbors(leaf, neighbors, true);
2747
2748	vector<BspLeaf *>::const_iterator nit, nit_end = neighbors.end();
2749
2750	// TODO: test if at least one ray goes from one leaf to the other
2751	for (nit = neighbors.begin(); nit != nit_end; ++ nit)
2752	{
2753	if ((*nit)->GetViewCell() != leaf->GetViewCell())
2754	{
2755	MergeCandidate mc(leaf->GetViewCell(), (*nit)->GetViewCell());
2756	candidates.push_back(mc);
2757
2758	++ numCandidates;
2759	if ((numCandidates % 1000) == 0)
2760	{
2761	cout << "collected " << numCandidates << " merge candidates" << endl;
2762	}
2763	}
2764	}
2765	}
2766
2767	Debug << "merge queue: " << (int)candidates.size() << endl;
2768	Debug << "leaves in queue: " << numCandidates << endl;
2769
2770
2771	return (int)leaves.size();
2772	}
2773
2774
2775	int BspTree::CollectMergeCandidates(const VssRayContainer &rays,
2776	vector<MergeCandidate> &candidates)
2777	{
2778	ViewCell::NewMail();
2779	long startTime = GetTime();
2780
2781	map<BspLeaf , vector<BspLeaf> > neighborMap;
2782	ViewCellContainer::const_iterator iit;
2783
2784	int numLeaves = 0;
2785
2786	BspLeaf::NewMail();
2787
2788	for (int i = 0; i < (int)rays.size(); ++ i)
2789	{
2790	VssRay *ray = rays[i];
2791
2792	// traverse leaves stored in the rays and compare and
2793	// merge consecutive leaves (i.e., the neighbors in the tree)
2794	if (ray->mViewCells.size() < 2)
2795	continue;
2796
2797	iit = ray->mViewCells.begin();
2798	BspViewCell bspVc = dynamic_cast<BspViewCell >(*(iit ++));
2799	BspLeaf *leaf = bspVc->mLeaf;
2800
2801	// traverse intersections
2802	// consecutive leaves are neighbors => add them to queue
2803	for (; iit != ray->mViewCells.end(); ++ iit)
2804	{
2805	// next pair
2806	BspLeaf *prevLeaf = leaf;
2807	bspVc = dynamic_cast<BspViewCell >(iit);
2808	leaf = bspVc->mLeaf;
2809
2810	// view space not valid or same view cell
2811	if (!leaf->TreeValid() \|\| !prevLeaf->TreeValid() \|\|
2812	(leaf->GetViewCell() == prevLeaf->GetViewCell()))
2813	continue;
2814
2815	vector<BspLeaf *> &neighbors = neighborMap[leaf];
2816
2817	bool found = false;
2818
2819	// both leaves inserted in queue already =>
2820	// look if double pair already exists
2821	if (leaf->Mailed() && prevLeaf->Mailed())
2822	{
2823	vector<BspLeaf *>::const_iterator it, it_end = neighbors.end();
2824
2825	for (it = neighbors.begin(); !found && (it != it_end); ++ it)
2826	if (*it == prevLeaf)
2827	found = true; // already in queue
2828	}
2829
2830	if (!found)
2831	{
2832	// this pair is not in map yet
2833	// => insert into the neighbor map and the queue
2834	neighbors.push_back(prevLeaf);
2835	neighborMap[prevLeaf].push_back(leaf);
2836
2837	leaf->Mail();
2838	prevLeaf->Mail();
2839
2840	MergeCandidate mc(leaf->GetViewCell(), prevLeaf->GetViewCell());
2841
2842	candidates.push_back(mc);
2843
2844	if (((int)candidates.size() % 1000) == 0)
2845	{
2846	cout << "collected " << (int)candidates.size() << " merge candidates" << endl;
2847	}
2848	}
2849	}
2850	}
2851
2852	Debug << "neighbormap size: " << (int)neighborMap.size() << endl;
2853	Debug << "merge queue: " << (int)candidates.size() << endl;
2854	Debug << "leaves in queue: " << numLeaves << endl;
2855
2856
2857	//-- collect the leaves which haven't been found by ray casting
2858	#if 0
2859	cout << "finding additional merge candidates using geometry" << endl;
2860	vector<BspLeaf *> leaves;
2861	CollectLeaves(leaves, true);
2862	Debug << "found " << (int)leaves.size() << " new leaves" << endl << endl;
2863	CollectMergeCandidates(leaves, candidates);
2864	#endif
2865
2866	return numLeaves;
2867	}
2868
2869
2870
2871
2872	/***************************************************************/
2873	/* BspNodeGeometry Implementation */
2874	/***************************************************************/
2875
2876
2877	BspNodeGeometry::BspNodeGeometry(const BspNodeGeometry &rhs)
2878	{
2879	mPolys.reserve(rhs.mPolys.size());
2880
2881	PolygonContainer::const_iterator it, it_end = rhs.mPolys.end();
2882	for (it = rhs.mPolys.begin(); it != it_end; ++ it)
2883	{
2884	Polygon3 poly = it;
2885	mPolys.push_back(new Polygon3(*poly));
2886	}
2887	}
2888
2889
2890	BspNodeGeometry::~BspNodeGeometry()
2891	{
2892	CLEAR_CONTAINER(mPolys);
2893	}
2894
2895
2896	float BspNodeGeometry::GetArea() const
2897	{
2898	return Polygon3::GetArea(mPolys);
2899	}
2900
2901
2902	float BspNodeGeometry::GetVolume() const
2903	{
2904	//-- compute volume using tetrahedralization of the geometry
2905	// and adding the volume of the single tetrahedrons
2906	float volume = 0;
2907	const float f = 1.0f / 6.0f;
2908
2909	PolygonContainer::const_iterator pit, pit_end = mPolys.end();
2910
2911	// note: can take arbitrary point, e.g., the origin. However,
2912	// we rather take the center of mass to prevents precision errors
2913	const Vector3 center = CenterOfMass();
2914
2915	for (pit = mPolys.begin(); pit != pit_end; ++ pit)
2916	{
2917	Polygon3 poly = pit;
2918	const Vector3 v0 = poly->mVertices[0] - center;
2919
2920	for (int i = 1; i < (int)poly->mVertices.size() - 1; ++ i)
2921	{
2922	const Vector3 v1 = poly->mVertices[i] - center;
2923	const Vector3 v2 = poly->mVertices[i + 1] - center;
2924
2925	volume += f * (DotProd(v0, CrossProd(v1, v2)));
2926	}
2927	}
2928
2929	return volume;
2930	}
2931
2932
2933	Vector3 BspNodeGeometry::CenterOfMass() const
2934	{
2935	int n = 0;
2936
2937	Vector3 center(0,0,0);
2938
2939	PolygonContainer::const_iterator pit, pit_end = mPolys.end();
2940
2941	for (pit = mPolys.begin(); pit != pit_end; ++ pit)
2942	{
2943	Polygon3 poly = pit;
2944
2945	VertexContainer::const_iterator vit, vit_end = poly->mVertices.end();
2946
2947	for(vit = poly->mVertices.begin(); vit != vit_end; ++ vit)
2948	{
2949	center += *vit;
2950	++ n;
2951	}
2952	}
2953
2954	return center / (float)n;
2955	}
2956
2957
2958	void BspNodeGeometry::AddToMesh(Mesh &mesh)
2959	{
2960	PolygonContainer::const_iterator it, it_end = mPolys.end();
2961
2962	for (it = mPolys.begin(); it != mPolys.end(); ++ it)
2963	{
2964	(*it)->AddToMesh(mesh);
2965	}
2966	}
2967
2968
2969	void BspNodeGeometry::SplitGeometry(BspNodeGeometry &front,
2970	BspNodeGeometry &back,
2971	const Plane3 &splitPlane,
2972	const AxisAlignedBox3 &box,
2973	const float epsilon) const
2974	{
2975	// get cross section of new polygon
2976	Polygon3 *planePoly = box.CrossSection(splitPlane);
2977
2978	// split polygon with all other polygons
2979	planePoly = SplitPolygon(planePoly, epsilon);
2980
2981	//-- new polygon splits all other polygons
2982	for (int i = 0; i < (int)mPolys.size(); ++ i)
2983	{
2984	/// don't use epsilon here to get exact split planes
2985	const int cf =
2986	mPolys[i]->ClassifyPlane(splitPlane, epsilon);
2987
2988	switch (cf)
2989	{
2990	case Polygon3::SPLIT:
2991	{
2992	Polygon3 *poly = new Polygon3(mPolys[i]->mVertices);
2993
2994	Polygon3 *frontPoly = new Polygon3();
2995	Polygon3 *backPoly = new Polygon3();
2996
2997	poly->Split(splitPlane,
2998	*frontPoly,
2999	*backPoly,
3000	epsilon);
3001
3002	DEL_PTR(poly);
3003
3004	if (frontPoly->Valid(epsilon))
3005	front.mPolys.push_back(frontPoly);
3006	else
3007	DEL_PTR(frontPoly);
3008
3009	if (backPoly->Valid(epsilon))
3010	back.mPolys.push_back(backPoly);
3011	else
3012	DEL_PTR(backPoly);
3013	}
3014
3015	break;
3016	case Polygon3::BACK_SIDE:
3017	back.mPolys.push_back(new Polygon3(mPolys[i]->mVertices));
3018	break;
3019	case Polygon3::FRONT_SIDE:
3020	front.mPolys.push_back(new Polygon3(mPolys[i]->mVertices));
3021	break;
3022	case Polygon3::COINCIDENT:
3023	//front.mPolys.push_back(CreateReversePolygon(mPolys[i]));
3024	back.mPolys.push_back(new Polygon3(mPolys[i]->mVertices));
3025	break;
3026	default:
3027	break;
3028	}
3029	}
3030
3031	//-- finally add the new polygon to the child node geometries
3032	if (planePoly)
3033	{
3034	// add polygon with normal pointing into positive half space to back cell
3035	back.mPolys.push_back(planePoly);
3036	// add polygon with reverse orientation to front cell
3037	front.mPolys.push_back(planePoly->CreateReversePolygon());
3038	}
3039	}
3040
3041
3042	Polygon3 BspNodeGeometry::SplitPolygon(Polygon3 planePoly,
3043	const float epsilon) const
3044	{
3045	if (!planePoly->Valid(epsilon))
3046	DEL_PTR(planePoly);
3047
3048	// polygon is split by all other planes
3049	for (int i = 0; (i < (int)mPolys.size()) && planePoly; ++ i)
3050	{
3051	Plane3 plane = mPolys[i]->GetSupportingPlane();
3052
3053	/// don't use epsilon here to get exact split planes
3054	const int cf =
3055	planePoly->ClassifyPlane(plane, Limits::Small);
3056
3057	// split new polygon with all previous planes
3058	switch (cf)
3059	{
3060	case Polygon3::SPLIT:
3061	{
3062	Polygon3 *frontPoly = new Polygon3();
3063	Polygon3 *backPoly = new Polygon3();
3064
3065	planePoly->Split(plane,
3066	*frontPoly,
3067	*backPoly,
3068	epsilon);
3069
3070	// don't need anymore
3071	DEL_PTR(planePoly);
3072	DEL_PTR(frontPoly);
3073
3074	// back polygon is belonging to geometry
3075	if (backPoly->Valid(epsilon))
3076	planePoly = backPoly;
3077	else
3078	DEL_PTR(backPoly);
3079	}
3080	break;
3081	case Polygon3::FRONT_SIDE:
3082	DEL_PTR(planePoly);
3083	break;
3084	// polygon is taken as it is
3085	case Polygon3::BACK_SIDE:
3086	case Polygon3::COINCIDENT:
3087	default:
3088	break;
3089	}
3090	}
3091
3092	return planePoly;
3093	}
3094
3095
3096	ViewCell *
3097	BspTree::GetViewCell(const Vector3 &point)
3098	{
3099	if (mRoot == NULL)
3100	return NULL;
3101
3102
3103	stack<BspNode *> nodeStack;
3104	nodeStack.push(mRoot);
3105
3106	ViewCell *viewcell = NULL;
3107
3108	while (!nodeStack.empty()) {
3109	BspNode *node = nodeStack.top();
3110	nodeStack.pop();
3111
3112	if (node->IsLeaf()) {
3113	viewcell = dynamic_cast<BspLeaf *>(node)->mViewCell;
3114	break;
3115	} else {
3116
3117	BspInterior interior = dynamic_cast<BspInterior >(node);
3118
3119	// random decision
3120	if (interior->GetPlane().Side(point) < 0)
3121	nodeStack.push(interior->GetBack());
3122	else
3123	nodeStack.push(interior->GetFront());
3124	}
3125	}
3126
3127	return viewcell;
3128	}
3129
3130
3131	void BspNodeGeometry::IncludeInBox(AxisAlignedBox3 &box)
3132	{
3133	Polygon3::IncludeInBox(mPolys, box);
3134	}
3135
3136
3137	bool BspTree::Export(ofstream &stream)
3138	{
3139	ExportNode(mRoot, stream);
3140
3141	return true;
3142	}
3143
3144
3145	void BspTree::ExportNode(BspNode *node, ofstream &stream)
3146	{
3147	if (node->IsLeaf())
3148	{
3149	BspLeaf leaf = dynamic_cast<BspLeaf >(node);
3150
3151	int id = -1;
3152	if (leaf->GetViewCell() != mOutOfBoundsCell)
3153	id = leaf->GetViewCell()->GetId();
3154
3155	stream << "<Leaf viewCellId=\"" << id << "\" />" << endl;
3156	}
3157	else
3158	{
3159	BspInterior interior = dynamic_cast<BspInterior >(node);
3160
3161	Plane3 plane = interior->GetPlane();
3162	stream << "<Interior plane=\"" << plane.mNormal.x << " "
3163	<< plane.mNormal.y << " " << plane.mNormal.z << " "
3164	<< plane.mD << "\">" << endl;
3165
3166	ExportNode(interior->GetBack(), stream);
3167	ExportNode(interior->GetFront(), stream);
3168
3169	stream << "</Interior>" << endl;
3170	}
3171	}

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