1 | #ifndef _KdTree_H__
|
---|
2 | #define _KdTree_H__
|
---|
3 |
|
---|
4 | #include <functional>
|
---|
5 | using namespace std;
|
---|
6 |
|
---|
7 | #include "Containers.h"
|
---|
8 | #include "AxisAlignedBox3.h"
|
---|
9 | #include "Ray.h"
|
---|
10 | #include "Pvs.h"
|
---|
11 | #include "Viewcell.h"
|
---|
12 |
|
---|
13 | class KdNode;
|
---|
14 | class KdLeaf;
|
---|
15 | class KdInterior;
|
---|
16 | class Intersectable;
|
---|
17 | //class KdViewCell;
|
---|
18 | class Frustum;
|
---|
19 |
|
---|
20 | // --------------------------------------------------------------
|
---|
21 | // Static statistics for kd-tree search
|
---|
22 | // --------------------------------------------------------------
|
---|
23 | class KdTreeStatistics
|
---|
24 | {
|
---|
25 | public:
|
---|
26 | // total number of nodes
|
---|
27 | int nodes;
|
---|
28 | // number of splits along each of the axes
|
---|
29 | int splits[7];
|
---|
30 | // totals number of rays
|
---|
31 | int rays;
|
---|
32 | // total number of query domains
|
---|
33 | int queryDomains;
|
---|
34 | // total number of ray references
|
---|
35 | int rayRefs;
|
---|
36 | // refs in non empty leafs
|
---|
37 | int rayRefsNonZeroQuery;
|
---|
38 | // total number of query references
|
---|
39 | int objectRefs;
|
---|
40 | // nodes with zero queries
|
---|
41 | int zeroQueryNodes;
|
---|
42 | // max depth nodes
|
---|
43 | int maxDepthNodes;
|
---|
44 | // max depth nodes
|
---|
45 | int minCostNodes;
|
---|
46 | // max number of rays per node
|
---|
47 | int maxObjectRefs;
|
---|
48 | // number of dynamically added ray refs
|
---|
49 | int addedRayRefs;
|
---|
50 | // number of dynamically removed ray refs
|
---|
51 | int removedRayRefs;
|
---|
52 |
|
---|
53 | // Constructor
|
---|
54 | KdTreeStatistics() {
|
---|
55 | Reset();
|
---|
56 | }
|
---|
57 |
|
---|
58 | int Nodes() const {return nodes;}
|
---|
59 | int Interior() const { return nodes/2; }
|
---|
60 | int Leaves() const { return (nodes/2) + 1; }
|
---|
61 |
|
---|
62 | void Reset() {
|
---|
63 | nodes = 0;
|
---|
64 | for (int i=0; i<7; i++)
|
---|
65 | splits[i] = 0;
|
---|
66 | rays = queryDomains = 0;
|
---|
67 | rayRefs = rayRefsNonZeroQuery = objectRefs = 0;
|
---|
68 | zeroQueryNodes = 0;
|
---|
69 | maxDepthNodes = 0;
|
---|
70 | minCostNodes = 0;
|
---|
71 | maxObjectRefs = 0;
|
---|
72 | addedRayRefs = removedRayRefs = 0;
|
---|
73 | }
|
---|
74 |
|
---|
75 | void
|
---|
76 | Print(ostream &app) const;
|
---|
77 |
|
---|
78 | friend ostream &operator<<(ostream &s, const KdTreeStatistics &stat) {
|
---|
79 | stat.Print(s);
|
---|
80 | return s;
|
---|
81 | }
|
---|
82 |
|
---|
83 | };
|
---|
84 |
|
---|
85 |
|
---|
86 | class KdInterior;
|
---|
87 | /** Abstract class for kd-tree node */
|
---|
88 | class KdNode {
|
---|
89 | public:
|
---|
90 | static int mailID;
|
---|
91 | int mailbox;
|
---|
92 |
|
---|
93 | void Mail() { mailbox = mailID; }
|
---|
94 | static void NewMail() { mailID++; }
|
---|
95 | bool Mailed() const { return mailbox == mailID; }
|
---|
96 |
|
---|
97 |
|
---|
98 | KdNode(KdInterior *parent);
|
---|
99 |
|
---|
100 | /** Determines whether this node is a leaf or interior node
|
---|
101 | @return true if leaf
|
---|
102 | */
|
---|
103 | virtual bool IsLeaf() const = 0;
|
---|
104 |
|
---|
105 | /** Determines whether this node is the root of the tree
|
---|
106 | @return true if root
|
---|
107 | */
|
---|
108 | virtual bool IsRoot() const {
|
---|
109 | return mParent == NULL;
|
---|
110 | }
|
---|
111 |
|
---|
112 | /** Parent of the node - the parent is a little overhead for maintanance of the tree,
|
---|
113 | but allows various optimizations of tree traversal algorithms */
|
---|
114 | KdInterior *mParent;
|
---|
115 | int mDepth;
|
---|
116 | };
|
---|
117 |
|
---|
118 | /** Implementation of the kd-tree interior node */
|
---|
119 | class KdInterior : public KdNode {
|
---|
120 |
|
---|
121 | public:
|
---|
122 |
|
---|
123 | KdInterior(KdInterior *parent):KdNode(parent), mBack(NULL), mFront(NULL) {}
|
---|
124 |
|
---|
125 | /** \sa KdNode::IsLeaf() */
|
---|
126 | virtual bool IsLeaf() const { return false; }
|
---|
127 |
|
---|
128 | /** splitting axis */
|
---|
129 | int mAxis;
|
---|
130 | /** splitting position, absolute position within the bounding box of this node */
|
---|
131 | float mPosition;
|
---|
132 | /** bounding box of interior node */
|
---|
133 | AxisAlignedBox3 mBox;
|
---|
134 |
|
---|
135 | /** back node */
|
---|
136 | KdNode *mBack;
|
---|
137 | /** front node */
|
---|
138 | KdNode *mFront;
|
---|
139 |
|
---|
140 | void SetupChildLinks(KdNode *b, KdNode *f) {
|
---|
141 | mBack = b;
|
---|
142 | mFront = f;
|
---|
143 | b->mParent = f->mParent = this;
|
---|
144 | }
|
---|
145 |
|
---|
146 | void ReplaceChildLink(KdNode *oldChild, KdNode *newChild) {
|
---|
147 | if (mBack == oldChild)
|
---|
148 | mBack = newChild;
|
---|
149 | else
|
---|
150 | mFront = newChild;
|
---|
151 | }
|
---|
152 |
|
---|
153 |
|
---|
154 | };
|
---|
155 |
|
---|
156 |
|
---|
157 | /** Implementation of the kd-tree leaf node */
|
---|
158 | class KdLeaf : public KdNode {
|
---|
159 | public:
|
---|
160 | KdLeaf(KdInterior *parent, const int objects):
|
---|
161 | KdNode(parent), mViewCell(NULL) {
|
---|
162 | mObjects.reserve(objects);
|
---|
163 | }
|
---|
164 |
|
---|
165 | void AddPassingRay(const Ray &ray, const int contributions) {
|
---|
166 | mPassingRays.AddRay(ray, contributions);
|
---|
167 | // Debug << "adding passing ray" << endl;
|
---|
168 | }
|
---|
169 |
|
---|
170 |
|
---|
171 | void AddPassingRay2(const Ray &ray,
|
---|
172 | const int objects,
|
---|
173 | const int viewcells
|
---|
174 | ) {
|
---|
175 | mPassingRays.AddRay2(ray, objects, viewcells);
|
---|
176 | // Debug << "adding passing ray" << endl;
|
---|
177 | }
|
---|
178 |
|
---|
179 | /** \sa KdNode::IsLeaf() */
|
---|
180 | virtual bool IsLeaf() const { return true; }
|
---|
181 |
|
---|
182 |
|
---|
183 | /** pointers to occluders contained in this node */
|
---|
184 | ObjectContainer mObjects;
|
---|
185 |
|
---|
186 | /** Ray set description of the rays passing through this node */
|
---|
187 | PassingRaySet mPassingRays;
|
---|
188 |
|
---|
189 | /** PVS consisting of visible KdTree nodes */
|
---|
190 | KdPvs mKdPvs;
|
---|
191 |
|
---|
192 | /** pointer to view cell.
|
---|
193 | */
|
---|
194 | KdViewCell *mViewCell;
|
---|
195 | };
|
---|
196 |
|
---|
197 |
|
---|
198 |
|
---|
199 | /** KdTree for indexing scene entities - occluders/occludees/viewcells */
|
---|
200 | class KdTree {
|
---|
201 |
|
---|
202 | protected:
|
---|
203 | struct TraversalData
|
---|
204 | {
|
---|
205 | KdNode *mNode;
|
---|
206 | AxisAlignedBox3 mBox;
|
---|
207 | int mDepth;
|
---|
208 | float mPriority;
|
---|
209 |
|
---|
210 | TraversalData() {}
|
---|
211 |
|
---|
212 | TraversalData(KdNode *n, const float p):
|
---|
213 | mNode(n), mPriority(p)
|
---|
214 | {}
|
---|
215 |
|
---|
216 | TraversalData(KdNode *n,
|
---|
217 | const AxisAlignedBox3 &b,
|
---|
218 | const int d):
|
---|
219 | mNode(n), mBox(b), mDepth(d) {}
|
---|
220 |
|
---|
221 |
|
---|
222 | bool operator<(
|
---|
223 | const TraversalData &b) const {
|
---|
224 | KdLeaf *leafa = (KdLeaf *) mNode;
|
---|
225 | KdLeaf *leafb = (KdLeaf *) b.mNode;
|
---|
226 | return
|
---|
227 | leafa->mObjects.size()*mBox.SurfaceArea()
|
---|
228 | <
|
---|
229 | leafb->mObjects.size()*b.mBox.SurfaceArea();
|
---|
230 | }
|
---|
231 |
|
---|
232 |
|
---|
233 | // comparator for the
|
---|
234 | struct less_priority : public
|
---|
235 | binary_function<const TraversalData, const TraversalData, bool> {
|
---|
236 |
|
---|
237 | bool operator()(const TraversalData a, const TraversalData b) {
|
---|
238 | return a.mPriority < b.mPriority;
|
---|
239 | }
|
---|
240 |
|
---|
241 | };
|
---|
242 |
|
---|
243 | };
|
---|
244 |
|
---|
245 |
|
---|
246 |
|
---|
247 | public:
|
---|
248 |
|
---|
249 | enum {SPLIT_OBJECT_MEDIAN,
|
---|
250 | SPLIT_SPATIAL_MEDIAN,
|
---|
251 | SPLIT_SAH};
|
---|
252 |
|
---|
253 | KdTree();
|
---|
254 |
|
---|
255 |
|
---|
256 | /** Insert view cell into the tree */
|
---|
257 | virtual void InsertViewCell(ViewCell *viewCell) {
|
---|
258 | // mRoot->mViewcells.push_back(viewCell);
|
---|
259 | }
|
---|
260 |
|
---|
261 | virtual bool Construct();
|
---|
262 |
|
---|
263 | /** Check whether subdivision criteria are met for the given subtree.
|
---|
264 | If not subdivide the leafs of the subtree. The criteria are specified in
|
---|
265 | the environment as well as the subdivision method. By default surface area
|
---|
266 | heuristics is used.
|
---|
267 |
|
---|
268 | @param subtree root of the subtree
|
---|
269 |
|
---|
270 | @return true if subdivision was performed, false if subdivision criteria
|
---|
271 | were already met
|
---|
272 | */
|
---|
273 | virtual KdNode *Subdivide(const TraversalData &tdata);
|
---|
274 |
|
---|
275 | /** Get the root of the tree */
|
---|
276 | KdNode *GetRoot() const {
|
---|
277 | return mRoot;
|
---|
278 | }
|
---|
279 |
|
---|
280 |
|
---|
281 | AxisAlignedBox3 GetBox() const { return mBox; }
|
---|
282 |
|
---|
283 | int
|
---|
284 | CastRay(
|
---|
285 | Ray &ray
|
---|
286 | );
|
---|
287 |
|
---|
288 |
|
---|
289 | int
|
---|
290 | CastFrustum(
|
---|
291 | Frustum &frustum
|
---|
292 | );
|
---|
293 |
|
---|
294 |
|
---|
295 | /** Casts line segment into tree.
|
---|
296 | @returns intersected view cells.
|
---|
297 | */
|
---|
298 | int CastLineSegment(const Vector3 &origin,
|
---|
299 | const Vector3 &termination,
|
---|
300 | vector<ViewCell *> &viewcells);
|
---|
301 |
|
---|
302 |
|
---|
303 | const KdTreeStatistics &GetStatistics() const {
|
---|
304 | return mStat;
|
---|
305 | }
|
---|
306 |
|
---|
307 | void
|
---|
308 | CollectObjects(KdNode *n, ObjectContainer &objects);
|
---|
309 |
|
---|
310 | void
|
---|
311 | CollectLeaves(vector<KdLeaf *> &leaves);
|
---|
312 |
|
---|
313 | /** If the kd tree is used as view cell container, this
|
---|
314 | methods creates the view cells.
|
---|
315 | @returns the newly created view cells in a view cell container
|
---|
316 | */
|
---|
317 | void
|
---|
318 | CreateAndCollectViewCells(ViewCellContainer &viewCells) const;
|
---|
319 |
|
---|
320 | AxisAlignedBox3 GetBox(const KdNode *node) const {
|
---|
321 | KdInterior *parent = node->mParent;
|
---|
322 | if (parent == NULL)
|
---|
323 | return mBox;
|
---|
324 |
|
---|
325 | if (!node->IsLeaf())
|
---|
326 | return ((KdInterior *)node)->mBox;
|
---|
327 |
|
---|
328 | AxisAlignedBox3 box(parent->mBox);
|
---|
329 | if (parent->mFront == node)
|
---|
330 | box.SetMin(parent->mAxis, parent->mPosition);
|
---|
331 | else
|
---|
332 | box.SetMax(parent->mAxis, parent->mPosition);
|
---|
333 | return box;
|
---|
334 | }
|
---|
335 |
|
---|
336 | KdNode *
|
---|
337 | FindRandomNeighbor(KdNode *n,
|
---|
338 | bool onlyUnmailed
|
---|
339 | );
|
---|
340 |
|
---|
341 | KdNode *
|
---|
342 | KdTree::GetRandomLeaf(const Plane3 &halfspace);
|
---|
343 |
|
---|
344 | KdNode *
|
---|
345 | GetRandomLeaf(const bool onlyUnmailed = false);
|
---|
346 |
|
---|
347 | int
|
---|
348 | FindNeighbors(KdNode *n,
|
---|
349 | vector<KdNode *> &neighbors,
|
---|
350 | bool onlyUnmailed
|
---|
351 | );
|
---|
352 |
|
---|
353 | int
|
---|
354 | CollectLeafPvs();
|
---|
355 |
|
---|
356 | protected:
|
---|
357 |
|
---|
358 | struct RayData {
|
---|
359 | // pointer to the actual ray
|
---|
360 | Ray *ray;
|
---|
361 |
|
---|
362 | // endpoints - do we need them?
|
---|
363 | #if USE_FIXEDPOINT_T
|
---|
364 | short tmin, tmax;
|
---|
365 | #else
|
---|
366 | float tmin, tmax;
|
---|
367 | #endif
|
---|
368 |
|
---|
369 | RayData():ray(NULL) {}
|
---|
370 | RayData(Ray *r):ray(r), tmin(0),
|
---|
371 |
|
---|
372 | #if USE_FIXEDPOINT_T
|
---|
373 | #define FIXEDPOINT_ONE 0x7FFE
|
---|
374 | // tmax(0xFFFF)
|
---|
375 | tmax(FIXEDPOINT_ONE)
|
---|
376 | #else
|
---|
377 | tmax(1.0f)
|
---|
378 | #endif
|
---|
379 | {}
|
---|
380 |
|
---|
381 | RayData(Ray *r,
|
---|
382 | const float _min,
|
---|
383 | const float _max
|
---|
384 | ):ray(r) {
|
---|
385 | SetTMin(_min);
|
---|
386 | SetTMax(_max);
|
---|
387 | }
|
---|
388 |
|
---|
389 | RayData(Ray *r,
|
---|
390 | const short _min,
|
---|
391 | const float _max
|
---|
392 | ):ray(r), tmin(_min) {
|
---|
393 | SetTMax(_max);
|
---|
394 | }
|
---|
395 |
|
---|
396 | RayData(Ray *r,
|
---|
397 | const float _min,
|
---|
398 | const short _max
|
---|
399 | ):ray(r), tmax(_max) {
|
---|
400 | SetTMin(_min);
|
---|
401 | }
|
---|
402 |
|
---|
403 | friend bool operator<(const RayData &a, const RayData &b) {
|
---|
404 | return a.ray < b.ray;
|
---|
405 | }
|
---|
406 |
|
---|
407 |
|
---|
408 | float ExtrapOrigin(const int axis) const {
|
---|
409 | return ray->GetLoc(axis) + GetTMin()*ray->GetDir(axis);
|
---|
410 | }
|
---|
411 |
|
---|
412 | float ExtrapTermination(const int axis) const {
|
---|
413 | return ray->GetLoc(axis) + GetTMax()*ray->GetDir(axis);
|
---|
414 | }
|
---|
415 |
|
---|
416 | #if USE_FIXEDPOINT_T
|
---|
417 | float GetTMin () const { return tmin/(float)(FIXEDPOINT_ONE); }
|
---|
418 | float GetTMax () const { return tmax/(float)(FIXEDPOINT_ONE); }
|
---|
419 |
|
---|
420 | void SetTMin (const float t) {
|
---|
421 | tmin = (short) (t*(float)(FIXEDPOINT_ONE));
|
---|
422 | }
|
---|
423 |
|
---|
424 | void SetTMax (const float t) {
|
---|
425 | tmax = (short) (t*(float)(FIXEDPOINT_ONE));
|
---|
426 | tmax++;
|
---|
427 | // if (tmax!=0xFFFF)
|
---|
428 | // tmax++;
|
---|
429 | }
|
---|
430 | #else
|
---|
431 | float GetTMin () const { return tmin; }
|
---|
432 | float GetTMax () const { return tmax; }
|
---|
433 |
|
---|
434 | void SetTMin (const float t) { tmin = t; }
|
---|
435 | void SetTMax (const float t) { tmax = t; }
|
---|
436 | #endif
|
---|
437 | };
|
---|
438 |
|
---|
439 | struct RayTraversalData {
|
---|
440 | KdNode *mNode;
|
---|
441 | Vector3 mExitPoint;
|
---|
442 | float mMaxT;
|
---|
443 |
|
---|
444 | RayTraversalData() {}
|
---|
445 | RayTraversalData(KdNode *n,
|
---|
446 | const Vector3 &p,
|
---|
447 | const float maxt):
|
---|
448 | mNode(n), mExitPoint(p), mMaxT(maxt) {}
|
---|
449 | };
|
---|
450 |
|
---|
451 | // --------------------------------------------------------------
|
---|
452 | // For sorting objects
|
---|
453 | // --------------------------------------------------------------
|
---|
454 | struct SortableEntry
|
---|
455 | {
|
---|
456 | enum {
|
---|
457 | BOX_MIN,
|
---|
458 | BOX_MAX
|
---|
459 | };
|
---|
460 |
|
---|
461 | int type;
|
---|
462 | float value;
|
---|
463 | Intersectable *intersectable;
|
---|
464 |
|
---|
465 | SortableEntry() {}
|
---|
466 | SortableEntry(const int t, const float v, Intersectable *i):type(t),
|
---|
467 | value(v),
|
---|
468 | intersectable(i) {}
|
---|
469 |
|
---|
470 | bool operator<(const SortableEntry &b) const {
|
---|
471 | return value < b.value;
|
---|
472 | }
|
---|
473 |
|
---|
474 | };
|
---|
475 |
|
---|
476 | // reusable array of split candidates
|
---|
477 | vector<SortableEntry> *splitCandidates;
|
---|
478 |
|
---|
479 | float
|
---|
480 | BestCostRatio(
|
---|
481 | KdLeaf *node,
|
---|
482 | const AxisAlignedBox3 &box,
|
---|
483 | const int axis,
|
---|
484 | float &position,
|
---|
485 | int &objectsBack,
|
---|
486 | int &objectsFront
|
---|
487 | );
|
---|
488 |
|
---|
489 | void
|
---|
490 | SortSplitCandidates(
|
---|
491 | KdLeaf *node,
|
---|
492 | const int axis
|
---|
493 | );
|
---|
494 |
|
---|
495 | void
|
---|
496 | EvaluateLeafStats(const TraversalData &data);
|
---|
497 |
|
---|
498 | KdNode *
|
---|
499 | SubdivideNode(
|
---|
500 | KdLeaf *leaf,
|
---|
501 | const AxisAlignedBox3 &box,
|
---|
502 | AxisAlignedBox3 &backBBox,
|
---|
503 | AxisAlignedBox3 &frontBBox
|
---|
504 | );
|
---|
505 |
|
---|
506 | bool
|
---|
507 | TerminationCriteriaMet(const KdLeaf *leaf);
|
---|
508 |
|
---|
509 | int
|
---|
510 | SelectPlane(KdLeaf *leaf,
|
---|
511 | const AxisAlignedBox3 &box,
|
---|
512 | float &position
|
---|
513 | );
|
---|
514 |
|
---|
515 |
|
---|
516 |
|
---|
517 | float mSplitBorder;
|
---|
518 | int mTermMaxDepth;
|
---|
519 | int mTermMinCost;
|
---|
520 | float mMaxCostRatio;
|
---|
521 | float mCt_div_ci;
|
---|
522 | int mSplitMethod;
|
---|
523 | bool mSahUseFaces;
|
---|
524 | /// root of the tree
|
---|
525 | KdNode *mRoot;
|
---|
526 | /// bounding box of the tree root
|
---|
527 | AxisAlignedBox3 mBox;
|
---|
528 | KdTreeStatistics mStat;
|
---|
529 |
|
---|
530 | };
|
---|
531 |
|
---|
532 |
|
---|
533 |
|
---|
534 |
|
---|
535 |
|
---|
536 |
|
---|
537 | #endif
|
---|