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root/radiance/ray/src/hd/sm_qtree.c

Comparing ray/src/hd/sm_qtree.c (file contents):
Revision 3.3 by gwlarson, Tue Aug 25 11:03:27 1998 UTC vs.
Revision 3.17 by schorsch, Mon Jun 30 14:59:12 2003 UTC

#	Line 1 | Line 1
1	–	/* Copyright (c) 1998 Silicon Graphics, Inc. */
2	–
1		#ifndef lint
2	<	static char SCCSid[] = "$SunId$ SGI";
2	>	static const char       RCSid[] = "$Id$";
3		#endif
6	–
4		/*
5		*  sm_qtree.c: adapted from octree.c from radiance code
6		*/
#	Line 13 | Line 10 | static char SCCSid[] = "$SunId$ SGI";
10		*     7/28/85
11		*/
12
13	<	#include "standard.h"
13	>	#include <string.h>
14
15	+	#include "standard.h"
16	+	#include "sm_flag.h"
17		#include "sm_geom.h"
19	–	#include "sm_qtree.h"
18		#include "object.h"
19	+	#include "sm_qtree.h"
20
21	<	QUADTREE  *quad_block[QT_MAX_BLK];              /* our quadtree */
21	>	QUADTREE  *quad_block[QT_MAX_BLK];        /* our quadtree */
22		static QUADTREE  quad_free_list = EMPTY;  /* freed octree nodes */
23	<	static QUADTREE  treetop = 0;           /* next free node */
24	<	int4 *quad_flag;
23	>	static QUADTREE  treetop = 0;             /* next free node */
24	>	int32 *quad_flag= NULL;                    /* quadtree flags */
25
26	+
27	+	qtremovelast(qt,id)
28	+	QUADTREE qt;
29	+	OBJECT id;
30	+	{
31	+	#ifdef DEBUG
32	+	if(qtqueryset(qt)[(*(qtqueryset(qt)))] != id)
33	+	error(CONSISTENCY,"not removed\n");
34	+	#endif
35	+	((*(qtqueryset(qt)))--);
36	+	}
37		QUADTREE
38		qtAlloc()                       /* allocate a quadtree */
39		{
#	Line 41 | Line 51 | qtAlloc()                      /* allocate a quadtree */
51		return(EMPTY);
52		if ((quad_block[QT_BLOCK(freet)] = (QUADTREE *)malloc(
53		QT_BLOCK_SIZE*4*sizeof(QUADTREE))) == NULL)
54	<	return(EMPTY);
55	<	quad_flag = (int4 *)realloc((char *)quad_flag,
56	<	(QT_BLOCK(freet)+1)*QT_BLOCK_SIZE/(8*sizeof(int4)));
54	>	error(SYSTEM,"qtAlloc(): Unable to allocate memory\n");
55	>
56	>	/* Realloc the per/node flags */
57	>	quad_flag = (int32 *)realloc((void *)quad_flag,
58	>	(QT_BLOCK(freet)+1)*((QT_BLOCK_SIZE+7)>>3));
59		if (quad_flag == NULL)
60	<	return(EMPTY);
60	>	error(SYSTEM,"qtAlloc(): Unable to allocate memory\n");
61		}
62		treetop += 4;
63		return(freet);
#	Line 54 | Line 66 | qtAlloc()                      /* allocate a quadtree */
66
67		qtClearAllFlags()               /* clear all quadtree branch flags */
68		{
69	<	if (!treetop) return;
70	<	bzero((char *)quad_flag,
71	<	(QT_BLOCK(treetop-1)+1)*QT_BLOCK_SIZE/(8*sizeof(int4)));
69	>	if (!treetop)
70	>	return;
71	>
72	>	/* Clear the node flags*/
73	>	memset((char *)quad_flag, '\0',
74	>	(QT_BLOCK(treetop-4)+1)*((QT_BLOCK_SIZE+7)>>3));
75	>	/* Clear set flags */
76	>	qtclearsetflags();
77		}
78
62	–
79		qtFree(qt)                      /* free a quadtree */
80		register QUADTREE  qt;
81		{
#	Line 80 | Line 96 | qtFree(qt)                     /* free a quadtree */
96		qtDone()                        /* free EVERYTHING */
97		{
98		register int    i;
99	<
99	>
100	>	qtfreeleaves();
101		for (i = 0; i < QT_MAX_BLK; i++)
102		{
103		if (quad_block[i] == NULL)
104		break;
105	<	free((char *)quad_block[i]);
105	>	free((void *)quad_block[i]);
106		quad_block[i] = NULL;
107		}
108	<	if (i) free((char *)quad_flag);
108	>	/* Free the flags */
109	>	if (i) free((void *)quad_flag);
110		quad_flag = NULL;
111		quad_free_list = EMPTY;
112		treetop = 0;
113		}
114
115	+	/*
116	+	* bary_parent(coord,i)  : Set coord to be value of pt at one level up in
117	+	*                         quadtree, given it was the ith child
118	+	* BCOORD coord[3];      :barycentric coordinates of point, also will hold
119	+	*                        result as side effect
120	+	* int i;                :designates which child coord was
121	+	*/
122	+	bary_parent(coord,i)
123	+	BCOORD coord[3];
124	+	int i;
125	+	{
126	+	switch(i) {
127	+	case 0:
128	+	/* update bary for child */
129	+	coord[0] = (coord[0] >> 1) + MAXBCOORD4;
130	+	coord[1] >>= 1;
131	+	coord[2] >>= 1;
132	+	break;
133	+	case 1:
134	+	coord[0] >>= 1;
135	+	coord[1]  = (coord[1] >> 1) + MAXBCOORD4;
136	+	coord[2] >>= 1;
137	+	break;
138	+
139	+	case 2:
140	+	coord[0] >>= 1;
141	+	coord[1] >>= 1;
142	+	coord[2] = (coord[2] >> 1) + MAXBCOORD4;
143	+	break;
144	+
145	+	case 3:
146	+	coord[0] = MAXBCOORD4 - (coord[0] >> 1);
147	+	coord[1] = MAXBCOORD4 - (coord[1] >> 1);
148	+	coord[2] = MAXBCOORD4 - (coord[2] >> 1);
149	+	break;
150	+	#ifdef DEBUG
151	+	default:
152	+	eputs("bary_parent():Invalid child\n");
153	+	break;
154	+	#endif
155	+	}
156	+	}
157
158	<	QUADTREE
159	<	qtCompress(qt)                  /* recursively combine nodes */
160	<	register QUADTREE  qt;
158	>	/*
159	>	* bary_from_child(coord,child,next): Given that coord was the (child) child
160	>	*                      of the quadtree node, calculate what the (next) child
161	>	*                      is at the same level.
162	>	* BCOORD coord[3];   :At current level (child)th child of node,will also hold
163	>	*                     result as side effect
164	>	* int child,next;    :Which child coord was (child), and which one
165	>	*                     is now desired(next)
166	>	*/
167	>	bary_from_child(coord,child,next)
168	>	BCOORD coord[3];
169	>	int child,next;
170		{
171	<	register int  i;
172	<	register QUADTREE  qres;
171	>	#ifdef DEBUG
172	>	if(child <0 || child > 3)
173	>	{
174	>	eputs("bary_from_child():Invalid child\n");
175	>	return;
176	>	}
177	>	if(next <0 || next > 3)
178	>	{
179	>	eputs("bary_from_child():Invalid next\n");
180	>	return;
181	>	}
182	>	#endif
183	>	if(next == child)
184	>	return;
185
186	<	if (!QT_IS_TREE(qt))        /* not a tree */
187	<	return(qt);
188	<	qres = QT_NTH_CHILD(qt,0) = qtCompress(QT_NTH_CHILD(qt,0));
189	<	for (i = 1; i < 4; i++)
190	<	if((QT_NTH_CHILD(qt,i) = qtCompress(QT_NTH_CHILD(qt,i))) != qres)
191	<	qres = qt;
192	<	if(!QT_IS_TREE(qres))
193	<	{   /* all were identical leaves */
194	<	QT_NTH_CHILD(qt,0) = quad_free_list;
195	<	quad_free_list = qt;
186	>	switch(child){
187	>	case 0:
188	>	coord[0] = 0;
189	>	coord[1] = MAXBCOORD2 - coord[1];
190	>	coord[2] = MAXBCOORD2 - coord[2];
191	>	break;
192	>	case 1:
193	>	coord[0] = MAXBCOORD2 - coord[0];
194	>	coord[1] = 0;
195	>	coord[2] = MAXBCOORD2 - coord[2];
196	>	break;
197	>	case 2:
198	>	coord[0] = MAXBCOORD2 - coord[0];
199	>	coord[1] = MAXBCOORD2 - coord[1];
200	>	coord[2] = 0;
201	>	break;
202	>	case 3:
203	>	switch(next){
204	>	case 0:
205	>	coord[0] = 0;
206	>	coord[1] = MAXBCOORD2 - coord[1];
207	>	coord[2] = MAXBCOORD2 - coord[2];
208	>	break;
209	>	case 1:
210	>	coord[0] = MAXBCOORD2 - coord[0];
211	>	coord[1] = 0;
212	>	coord[2] = MAXBCOORD2 - coord[2];
213	>	break;
214	>	case 2:
215	>	coord[0] = MAXBCOORD2 - coord[0];
216	>	coord[1] = MAXBCOORD2 - coord[1];
217	>	coord[2] = 0;
218	>	break;
219		}
220	<	return(qres);
220	>	break;
221	>	}
222		}
223
224	<
225	<	QUADTREE
226	<	*qtLocate_leaf(qtptr,bcoord,t0,t1,t2)
227	<	QUADTREE *qtptr;
228	<	double bcoord[3];
229	<	FVECT t0,t1,t2;
224	>	/*
225	>	* int
226	>	* bary_child(coord):  Return which child coord is of node at current level
227	>	*                     As side effect recalculate coord at next level
228	>	* BCOORD coord[3];   :At current level coordinates of point, will also set
229	>	*                     to coords at next level as side effect
230	>	*/
231	>	int
232	>	bary_child(coord)
233	>	BCOORD coord[3];
234		{
235		int i;
127	–	QUADTREE *child;
128	–	FVECT a,b,c;
236
237	<	if(QT_IS_TREE(*qtptr))
238	<	{
239	<	i = bary2d_child(bcoord);
240	<	child = QT_NTH_CHILD_PTR(*qtptr,i);
241	<	if(t0)
242	<	{
243	<	qtSubdivide_tri(t0,t1,t2,a,b,c);
244	<	qtNth_child_tri(t0,t1,t2,a,b,c,i,t0,t1,t2);
245	<	}
246	<	return(qtLocate_leaf(child,bcoord,t0,t1,t2));
237	>	if(coord[0] > MAXBCOORD4)
238	>	{
239	>	/* update bary for child */
240	>	coord[0] = (coord[0]<< 1) - MAXBCOORD2;
241	>	coord[1] <<= 1;
242	>	coord[2] <<= 1;
243	>	return(0);
244	>	}
245	>	else
246	>	if(coord[1] > MAXBCOORD4)
247	>	{
248	>	coord[0] <<= 1;
249	>	coord[1] = (coord[1] << 1) - MAXBCOORD2;
250	>	coord[2] <<= 1;
251	>	return(1);
252		}
253		else
254	<	return(qtptr);
254	>	if(coord[2] > MAXBCOORD4)
255	>	{
256	>	coord[0] <<= 1;
257	>	coord[1] <<= 1;
258	>	coord[2] = (coord[2] << 1) - MAXBCOORD2;
259	>	return(2);
260	>	}
261	>	else
262	>	{
263	>	coord[0] = MAXBCOORD2 - (coord[0] << 1);
264	>	coord[1] = MAXBCOORD2 - (coord[1] << 1);
265	>	coord[2] = MAXBCOORD2 - (coord[2] << 1);
266	>	return(3);
267	>	}
268		}
269
270
271
272	<	int
273	<	qtLeaf_add_tri_from_pt(qtptr,bcoord,id,v0,v1,v2,n)
274	<	QUADTREE *qtptr;
275	<	double bcoord[3];
151	<	int id;
152	<	FVECT v0,v1,v2;
153	<	int n;
272	>	QUADTREE
273	>	qtLocate(qt,bcoord)
274	>	QUADTREE qt;
275	>	BCOORD bcoord[3];
276		{
277		int i;
278	<	QUADTREE *child;
279	<	OBJECT os[MAXSET+1],*optr;
158	<	int found;
159	<	FVECT r0,r1,r2;
160	<
161	<	if(QT_IS_TREE(*qtptr))
278	>
279	>	if(QT_IS_TREE(qt))
280		{
281	<	QT_SET_FLAG(*qtptr);
282	<	i = bary2d_child(bcoord);
283	<	child = QT_NTH_CHILD_PTR(*qtptr,i);
166	<	return(qtLeaf_add_tri_from_pt(child,bcoord,id,v0,v1,v2,++n));
281	>	i = bary_child(bcoord);
282	>
283	>	return(qtLocate(QT_NTH_CHILD(qt,i),bcoord));
284		}
285		else
286	+	return(qt);
287	+	}
288	+
289	+	int
290	+	move_to_nbr(b,db0,db1,db2,tptr)
291	+	BCOORD b[3];
292	+	BDIR db0,db1,db2;
293	+	double *tptr;
294	+	{
295	+	double t,dt;
296	+	BCOORD bc;
297	+	int nbr;
298	+
299	+	nbr = -1;
300	+	*tptr = 0.0;
301	+	/* Advance to next node */
302	+	if(b[0]==0 && db0 < 0)
303	+	return(0);
304	+	if(b[1]==0 && db1 < 0)
305	+	return(1);
306	+	if(b[2]==0 && db2 < 0)
307	+	return(2);
308	+	if(db0 < 0)
309	+	{
310	+	t = ((double)b[0])/-db0;
311	+	nbr = 0;
312	+	}
313	+	else
314	+	t = MAXFLOAT;
315	+	if(db1 < 0)
316	+	{
317	+	dt = ((double)b[1])/-db1;
318	+	if( dt < t)
319		{
320	<	/* If this leave node emptry- create a new set */
321	<	if(QT_IS_EMPTY(*qtptr))
322	<	*qtptr = qtaddelem(*qtptr,id);
323	<	else
320	>	t = dt;
321	>	nbr = 1;
322	>	}
323	>	}
324	>	if(db2 < 0)
325	>	{
326	>	dt = ((double)b[2])/-db2;
327	>	if( dt < t)
328		{
329	<	qtgetset(os,*qtptr);
330	<	/* If the set is too large: subdivide */
177	<	if(QT_SET_CNT(os) < QT_SET_THRESHOLD)
178	<	*qtptr = qtaddelem(*qtptr,id);
179	<	else
180	<	{
181	<	if (n < QT_MAX_LEVELS)
182	<	{
183	<	/* If set size exceeds threshold: subdivide cell and
184	<	reinsert set tris into cell
185	<	*/
186	<	n++;
187	<	qtfreeleaf(*qtptr);
188	<	qtSubdivide(qtptr);
189	<	QT_SET_FLAG(*qtptr);
190	<	found = qtLeaf_add_tri_from_pt(qtptr,bcoord,id,v0,v1,v2,n);
191	<	#if 0
192	<	if(!found)
193	<	{
194	<	#ifdef TEST_DRIVER
195	<	HANDLE_ERROR("qtAdd_tri():Found in parent but not children\n");
196	<	#else
197	<	eputs("qtAdd_tri():Found in parent but not children\n");
198	<	#endif
199	<	}
200	<	#endif
201	<	for(optr = &(os[1]),i = QT_SET_CNT(os); i > 0; i--)
202	<	{
203	<	id = QT_SET_NEXT_ELEM(optr);
204	<	qtTri_verts_from_id(id,r0,r1,r2);
205	<	found= qtLeaf_add_tri_from_pt(qtptr,bcoord,id,v0,v1,v2,++n);
206	<	#ifdef DEBUG
207	<	if(!found)
208	<	eputs("qtAdd_tri():Reinsert-in parent but not children\n");
209	<	#endif
210	<	}
211	<	}
212	<	else
213	<	if(QT_SET_CNT(os) < QT_MAX_SET)
214	<	{
215	<	*qtptr = qtaddelem(*qtptr,id);
216	<	}
217	<	else
218	<	{
219	<	#ifdef DEBUG
220	<	eputs("qtAdd_tri():two many levels\n");
221	<	#endif
222	<	return(FALSE);
223	<	}
224	<	}
329	>	t = dt;
330	>	nbr = 2;
331		}
332	<	}
333	<	return(TRUE);
332	>	}
333	>	*tptr = t;
334	>	return(nbr);
335		}
336
337	<
338	<	int
339	<	qtAdd_tri_from_point(qtptr,v0,v1,v2,pt,id)
340	<	QUADTREE *qtptr;
341	<	FVECT v0,v1,v2;
342	<	FVECT pt;
343	<	int id;
337	>	qtTrace_ray(qt,b,db0,db1,db2,nextptr,sign,sfactor,func,f)
338	>	QUADTREE qt;
339	>	BCOORD b[3];
340	>	BDIR db0,db1,db2;
341	>	int *nextptr;
342	>	int sign,sfactor;
343	>	FUNC func;
344	>	int *f;
345		{
346	<	char d,w;
347	<	int i,x,y;
348	<	QUADTREE *child;
349	<	QUADTREE qt;
242	<	FVECT i_pt,n,a,b,c,r0,r1,r2;
243	<	double pd,bcoord[3];
244	<	OBJECT os[MAXSET+1],*optr;
245	<	int found;
246	<
247	<	/* Determine if point lies within pyramid (and therefore
248	<	inside a spherical quadtree cell):GT_INTERIOR, on one of the
249	<	pyramid sides (and on cell edge):GT_EDGE(1,2 or 3),
250	<	or on pyramid vertex (and on cell vertex):GT_VERTEX(1,2, or 3).
251	<	For each triangle edge: compare the
252	<	point against the plane formed by the edge and the view center
253	<	*/
254	<	d = test_single_point_against_spherical_tri(v0,v1,v2,pt,&w);
346	>	int i,found;
347	>	QUADTREE child;
348	>	int nbr,next,w;
349	>	double t;
350
351	<	/* Not in this triangle */
352	<	if(!d)
353	<	return(FALSE);
351	>	if(QT_IS_TREE(qt))
352	>	{
353	>	/* Find the appropriate child and reset the coord */
354	>	i = bary_child(b);
355
356	<	/* Will return lowest level triangle containing point: It the
357	<	point is on an edge or vertex: will return first associated
358	<	triangle encountered in the child traversal- the others can
359	<	be derived using triangle adjacency information
360	<	*/
361	<	if(QT_IS_TREE(*qtptr))
362	<	{
363	<	QT_SET_FLAG(*qtptr);
268	<	/* Find the intersection point */
269	<	tri_plane_equation(v0,v1,v2,n,&pd,FALSE);
270	<	intersect_vector_plane(pt,n,pd,NULL,i_pt);
356	>	for(;;)
357	>	{
358	>	child = QT_NTH_CHILD(qt,i);
359	>	if(i != 3)
360	>	qtTrace_ray(child,b,db0,db1,db2,nextptr,sign,sfactor+1,func,f);
361	>	else
362	>	/* If the center cell- must flip direction signs */
363	>	qtTrace_ray(child,b,-db0,-db1,-db2,nextptr,1-sign,sfactor+1,func,f);
364
365	<	i = max_index(n);
366	<	x = (i+1)%3;
367	<	y = (i+2)%3;
368	<	/* Calculate barycentric coordinates of i_pt */
369	<	bary2d(v0[x],v0[y],v1[x],v1[y],v2[x],v2[y],i_pt[x],i_pt[y],bcoord);
370	<
371	<	i = bary2d_child(bcoord);
372	<	child = QT_NTH_CHILD_PTR(*qtptr,i);
373	<	/* NOTE: Optimize: only subdivide for specified child */
374	<	qtSubdivide_tri(v0,v1,v2,a,b,c);
375	<	qtNth_child_tri(v0,v1,v2,a,b,c,i,v0,v1,v2);
376	<	return(qtLeaf_add_tri_from_pt(child,bcoord,id,v0,v1,v2,1));
365	>	if(QT_FLAG_IS_DONE(*f))
366	>	return;
367	>	/* If in same block: traverse */
368	>	if(i==3)
369	>	next = *nextptr;
370	>	else
371	>	if(*nextptr == i)
372	>	next = 3;
373	>	else
374	>	{
375	>	/* reset the barycentric coordinates in the parents*/
376	>	bary_parent(b,i);
377	>	/* Else pop up to parent and traverse from there */
378	>	return(qt);
379	>	}
380	>	bary_from_child(b,i,next);
381	>	i = next;
382	>	}
383		}
384		else
385		{
386	<	/* If this leave node emptry- create a new set */
387	<	if(QT_IS_EMPTY(*qtptr))
388	<	*qtptr = qtaddelem(*qtptr,id);
389	<	else
390	<	{
391	<	qtgetset(os,*qtptr);
392	<	/* If the set is too large: subdivide */
393	<	if(QT_SET_CNT(os) < QT_SET_THRESHOLD)
394	<	*qtptr = qtaddelem(*qtptr,id);
395	<	else
396	<	{
397	<	/* If set size exceeds threshold: subdivide cell and
398	<	reinsert set tris into cell
399	<	*/
400	<	qtfreeleaf(*qtptr);
401	<	qtSubdivide(qtptr);
402	<	found = qtLeaf_add_tri_from_pt(qtptr,bcoord,id,v0,v1,v2,1);
403	<	#if 0
404	<	if(!found)
405	<	{
406	<	#ifdef TEST_DRIVER
407	<	HANDLE_ERROR("qtAdd_tri():Found in parent but not children\n");
408	<	#else
409	<	eputs("qtAdd_tri():Found in parent but not children\n");
410	<	#endif
411	<	}
412	<	#endif
413	<	for(optr = &(os[1]),i = QT_SET_CNT(os); i > 0; i--)
414	<	{
415	<	id = QT_SET_NEXT_ELEM(optr);
416	<	qtTri_verts_from_id(id,r0,r1,r2);
417	<	found=qtAdd_tri(qtptr,id,r0,r1,r2,v0,v1,v2,1);
418	<	#ifdef DEBUG
419	<	if(!found)
420	<	eputs("qtAdd_tri():Reinsert-in parent but not children\n");
421	<	#endif
422	<	}
423	<	}
424	<	}
386	>	#ifdef TEST_DRIVER
387	>	if(Pick_cnt < 500)
388	>	Pick_q[Pick_cnt++]=qt;
389	>	#endif;
390	>	F_FUNC(func)(qt,F_ARGS(func),f);
391	>	if(QT_FLAG_IS_DONE(*f))
392	>	return;
393	>	/* Advance to next node */
394	>	nbr = move_to_nbr(b,db0,db1,db2,&t);
395	>
396	>	if(nbr==-1)
397	>	{
398	>	QT_FLAG_SET_DONE(*f);
399	>	return;
400	>	}
401	>	b[0] += (BCOORD)(t *db0);
402	>	b[1] += (BCOORD)(t *db1);
403	>	b[2] += (BCOORD)(t *db2);
404	>	*nextptr = nbr;
405	>	return;
406	>
407	>	}
408	>	}
409	>
410	>	#define TEST_INT(tl,th,d,q0,q1,h,l) \
411	>	tl=d>q0;th=d<q1; if(tl&&th) goto Lfunc_call; \
412	>	if(tl) if(l) goto Lfunc_call; else h=TRUE; \
413	>	if(th) if(h) goto Lfunc_call; else l = TRUE; \
414	>	if(th) if(h) goto Lfunc_call; else l = TRUE;
415	>
416	>	/* Leaf node: Do definitive test */
417	>	QUADTREE
418	>	qtLeaf_insert_tri(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,
419	>	scale, s0,s1,s2,sq0,sq1,sq2,f,n)
420	>	int root;
421	>	QUADTREE qt;
422	>	BCOORD q0[3],q1[3],q2[3];
423	>	BCOORD t0[3],t1[3],t2[3];
424	>	BCOORD dt10[3],dt21[3],dt02[3];
425	>	unsigned int scale,s0,s1,s2,sq0,sq1,sq2;
426	>	FUNC f;
427	>	int n;
428	>	{
429	>	double db;
430	>	unsigned int e0,e1,e2;
431	>	char al,ah,bl,bh,cl,ch,testl,testh;
432	>	char test_t0t1,test_t1t2,test_t2t0;
433	>	BCOORD a,b,c;
434	>
435	>	/* First check if can trivial accept: if vertex in cell */
436	>	if(s0 & s1 & s2)
437	>	{
438	>	goto Lfunc_call;
439		}
440	<	return(TRUE);
440	>	/* Assumption: Could not trivial reject*/
441	>	/* IF any coords lie on edge- must be in if couldnt reject */
442	>	a = q1[0];b= q0[1]; c= q0[2];
443	>	if(t0[0]== a || t0[1] == b || t0[2] == c)
444	>	{
445	>	goto Lfunc_call;
446	>	}
447	>	if(t1[0]== a || t1[1] == b || t1[2] == c)
448	>	{
449	>	goto Lfunc_call;
450	>	}
451	>	if(t2[0]== a || t2[1] == b || t2[2] == c)
452	>	{
453	>	goto Lfunc_call;
454	>	}
455	>	/* Test for edge crossings */
456	>	/* Test t0t1,t1t2,t2t0 against a */
457	>	/* Calculate edge crossings */
458	>	e0  = (s0 ^ ((s0 >> 1) | (s0 << 2 & 4)));
459	>	/* See if edge can be trivially rejected from intersetion testing */
460	>	test_t0t1 = !(((s0 & 6)==0) || ((s1 & 6)==0)|| ((s2 & 6)==0) ||
461	>	((sq0 & 6)==6) ||((sq1 & 6)==6)|| ((sq2 & 6)==6));
462	>	bl=bh=0;
463	>	if(test_t0t1 && (e0 & 2) )
464	>	{
465	>	/* Must do double calculation to avoid overflow */
466	>	db = t0[1] + dt10[1]*((double)(a-t0[0]))/dt10[0];
467	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
468	>	}
469	>	test_t1t2= !(((s0 & 3)==0) || ((s1 & 3)==0)|| ((s2 & 3)==0) ||
470	>	((sq0 & 3)==3) ||((sq1 & 3)==3)|| ((sq2 & 3)==3));
471	>	if(test_t1t2 && (e0 & 1))
472	>	{    /* test t1t2 against a */
473	>	db = t1[1] + dt21[1]*((double)(a - t1[0]))/dt21[0];
474	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
475	>	}
476	>	test_t2t0 = !(((s0 & 5)==0) || ((s1 & 5)==0)|| ((s2 & 5)==0) ||
477	>	((sq0 & 5)==5) ||((sq1 & 5)==5)|| ((sq2 & 5)==5));
478	>	if(test_t2t0 && (e0 & 4))
479	>	{
480	>	db = t2[1] + dt02[1]*((double)(a - t2[0]))/dt02[0];
481	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
482	>	}
483	>	e1  = (s1 ^ ((s1 >> 1) | (s1 << 2 & 4)));
484	>	cl = ch = 0;
485	>	if(test_t0t1 && (e1 & 2))
486	>	{/* test t0t1 against b */
487	>	db = t0[2] + dt10[2]*((double)(b-t0[1]))/dt10[1];
488	>	TEST_INT(testl,testh,db,c,q2[2],cl,ch)
489	>	}
490	>	if(test_t1t2 && (e1 & 1))
491	>	{/* test t1t2 against b */
492	>	db = t1[2] + dt21[2]*((double)(q0[1] - t1[1]))/dt21[1];
493	>	TEST_INT(testl,testh,db,c,q2[2],cl,ch)
494	>	}
495	>	if(test_t2t0 && (e1 & 4))
496	>	{/* test t2t0 against b */
497	>	db = t2[2] + dt02[2]*((double)(q0[1] - t2[1]))/dt02[1];
498	>	TEST_INT(testl,testh,db,c,q2[2],cl,ch)
499	>	}
500	>
501	>	/* test edges against c */
502	>	e2  = (s2 ^ ((s2 >> 1) | (s2 << 2 & 4)));
503	>	al = ah = 0;
504	>	if(test_t0t1 && (e2 & 2))
505	>	{ /* test t0t1 against c */
506	>	db = t0[0] + dt10[0]*((double)(c-t0[2]))/dt10[2];
507	>	TEST_INT(testl,testh,db,a,q0[0],al,ah)
508	>	}
509	>	if(test_t1t2 && (e2 & 1))
510	>	{
511	>	db = t1[0] + dt21[0]*((double)(c - t1[2]))/dt21[2];
512	>	TEST_INT(testl,testh,db,a,q0[0],al,ah)
513	>	}
514	>	if(test_t2t0 && (e2 & 4))
515	>	{ /* test t2t0 against c */
516	>	db = t2[0] + dt02[0]*((double)(c - t2[2]))/dt02[2];
517	>	TEST_INT(testl,testh,db,a,q0[0],al,ah)
518	>	}
519	>	/* Only remaining case is if some edge trivially rejected */
520	>	if(!e0 || !e1 || !e2)
521	>	return(qt);
522	>
523	>	/* Only one/none got tested - pick either of other two/any two */
524	>	/* Only need to test one edge */
525	>	if(!test_t0t1 && (e0 & 2))
526	>	{
527	>	db = t0[1] + dt10[1]*((double)(a-t0[0]))/dt10[0];
528	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
529	>	}
530	>	if(!test_t1t2 && (e0 & 1))
531	>	{/* test t1t2 against a */
532	>	db = t1[1] + dt21[1]*((double)(a - t1[0]))/dt21[0];
533	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
534	>	}
535	>	if(!test_t2t0 && (e0 & 4))
536	>	{
537	>	db = t2[1] + dt02[1]*((double)(a - t2[0]))/dt02[0];
538	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
539	>	}
540	>
541	>	return(qt);
542	>
543	>	Lfunc_call:
544	>	qt = f.func(f.argptr,root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,scale,
545	>	s0,s1,s2,sq0,sq1,sq2,0,f,n);
546	>	return(qt);
547	>
548		}
549
550
551	+
552	+	/* Leaf node: Do definitive test */
553		QUADTREE
554	<	*qtRoot_point_locate(qtptr,v0,v1,v2,pt,t0,t1,t2)
555	<	QUADTREE *qtptr;
556	<	FVECT v0,v1,v2;
557	<	FVECT pt;
558	<	FVECT t0,t1,t2;
559	<	{
560	<	char d,w;
561	<	int i,x,y;
562	<	QUADTREE *child;
563	<	QUADTREE qt;
564	<	FVECT n,i_pt,a,b,c;
565	<	double pd,bcoord[3];
554	>	qtLeaf_insert_tri_rev(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,
555	>	scale, s0,s1,s2,sq0,sq1,sq2,f,n)
556	>	int root;
557	>	QUADTREE qt;
558	>	BCOORD q0[3],q1[3],q2[3];
559	>	BCOORD t0[3],t1[3],t2[3];
560	>	BCOORD dt10[3],dt21[3],dt02[3];
561	>	unsigned int scale,s0,s1,s2,sq0,sq1,sq2;
562	>	FUNC f;
563	>	int n;
564	>	{
565	>	double db;
566	>	unsigned int e0,e1,e2;
567	>	BCOORD a,b,c;
568	>	double p0[2], p1[2],cp;
569	>	char al,ah,bl,bh,cl,ch;
570	>	char testl,testh,test_t0t1,test_t1t2,test_t2t0;
571	>	unsigned int ls0,ls1,ls2;
572	>
573	>
574	>	/* May have gotten passed trivial reject if one/two vertices are ON */
575	>	a = q1[0];b= q0[1]; c= q0[2];
576	>	SIDES_LESS(t0,t1,t2,ls0,ls1,ls2,a,b,c);
577	>
578	>	/* First check if can trivial accept: if vertex in cell */
579	>	if(ls0 & ls1 & ls2)
580	>	{
581	>	goto Lfunc_call;
582	>	}
583	>	if(ls0==0 || ls1 == 0 || ls2 ==0)
584	>	return(qt);
585	>	/* Assumption: Could not trivial reject*/
586	>	/* IF any coords lie on edge- must be in if couldnt reject */
587
588	<	/* Determine if point lies within pyramid (and therefore
589	<	inside a spherical quadtree cell):GT_INTERIOR, on one of the
590	<	pyramid sides (and on cell edge):GT_EDGE(1,2 or 3),
591	<	or on pyramid vertex (and on cell vertex):GT_VERTEX(1,2, or 3).
592	<	For each triangle edge: compare the
593	<	point against the plane formed by the edge and the view center
594	<	*/
595	<	d = test_single_point_against_spherical_tri(v0,v1,v2,pt,&w);
588	>	if(t0[0]== a || t0[1] == b || t0[2] == c)
589	>	{
590	>	goto Lfunc_call;
591	>	}
592	>	if(t1[0]== a || t1[1] == b || t1[2] == c)
593	>	{
594	>	goto Lfunc_call;
595	>	}
596	>	if(t2[0]== a || t2[1] == b || t2[2] == c)
597	>	{
598	>	goto Lfunc_call;
599	>	}
600	>	/* Test for edge crossings */
601	>	/* Test t0t1 against a,b,c */
602	>	/* First test if t0t1 can be trivially rejected */
603	>	/* If both edges are outside bounds- dont need to test */
604	>
605	>	/* Test t0t1,t1t2,t2t0 against a */
606	>	test_t0t1 = !(((ls0 & 6)==0) || ((ls1 & 6)==0)|| ((ls2 & 6)==0) ||
607	>	((sq0 & 6)==0) ||((sq1 & 6)==0)|| ((sq2 & 6)==0));
608	>	e0  = (ls0 ^ ((ls0 >> 1) | (ls0 << 2 & 4)));
609	>	bl=bh=0;
610	>	/* Test t0t1,t1t2,t2t0 against a */
611	>	if(test_t0t1 && (e0 & 2) )
612	>	{
613	>	db = t0[1] + dt10[1]*((double)(a-t0[0])/dt10[0]);
614	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
615	>	}
616	>	test_t1t2= !(((ls0 & 3)==0) || ((ls1 & 3)==0)|| ((ls2 & 3)==0) ||
617	>	((sq0 & 3)==0) ||((sq1 & 3)==0)|| ((sq2 & 3)==0));
618	>	if(test_t1t2 && (e0 & 1))
619	>	{    /* test t1t2 against a */
620	>	db = t1[1] + dt21[1]*((double)(a - t1[0]))/dt21[0];
621	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
622	>	}
623	>	test_t2t0 = !(((ls0 & 5)==0) || ((ls1 & 5)==0)|| ((ls2 & 5)==0) ||
624	>	((sq0 & 5)==0) ||((sq1 & 5)==0)|| ((sq2 & 5)==0));
625	>	if(test_t2t0 && (e0 & 4))
626	>	{
627	>	db = t2[1] + dt02[1]*((double)(a - t2[0]))/dt02[0];
628	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
629	>	}
630	>	cl = ch = 0;
631	>	e1  = (ls1 ^ ((ls1 >> 1) | (ls1 << 2 & 4)));
632	>	if(test_t0t1 && (e1 & 2))
633	>	{/* test t0t1 against b */
634	>	db = t0[2] + dt10[2]*(((double)(b-t0[1]))/dt10[1]);
635	>	TEST_INT(testl,testh,db,q1[2],c,cl,ch)
636	>	}
637	>	if(test_t1t2 && (e1 & 1))
638	>	{/* test t1t2 against b */
639	>	db = t1[2] + dt21[2]*((double)(b - t1[1]))/dt21[1];
640	>	TEST_INT(testl,testh,db,q1[2],c,cl,ch)
641	>	}
642	>	if(test_t2t0 && (e1 & 4))
643	>	{/* test t2t0 against b */
644	>	db = t2[2] + dt02[2]*((double)(b - t2[1]))/dt02[1];
645	>	TEST_INT(testl,testh,db,q1[2],c,cl,ch)
646	>	}
647	>	al = ah = 0;
648	>	e2  = (ls2 ^ ((ls2 >> 1) | (ls2 << 2 & 4)));
649	>	if(test_t0t1 && (e2 & 2))
650	>	{ /* test t0t1 against c */
651	>	db = t0[0] + dt10[0]*(((double)(c-t0[2]))/dt10[2]);
652	>	TEST_INT(testl,testh,db,q0[0],a,al,ah)
653	>	}
654	>	if(test_t1t2 && (e2 & 1))
655	>	{
656	>	db = t1[0] + dt21[0]*((double)(c - t1[2]))/dt21[2];
657	>	TEST_INT(testl,testh,db,q0[0],a,al,ah)
658	>	}
659	>	if(test_t2t0 && (e2 & 4))
660	>	{ /* test t2t0 against c */
661	>	db = t2[0] + dt02[0]*((double)(c - t2[2]))/dt02[2];
662	>	TEST_INT(testl,testh,db,q0[0],a,al,ah)
663	>	}
664	>	/* Only remaining case is if some edge trivially rejected */
665	>	if(!e0 || !e1 || !e2)
666	>	return(qt);
667
668	<	/* Not in this triangle */
669	<	if(!d)
670	<	{
671	<	return(NULL);
672	<	}
668	>	/* Only one/none got tested - pick either of other two/any two */
669	>	/* Only need to test one edge */
670	>	if(!test_t0t1 && (e0 & 2))
671	>	{
672	>	db = t0[1] + dt10[1]*((double)(a-t0[0]))/dt10[0];
673	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
674	>	}
675	>	if(!test_t1t2 && (e0 & 1))
676	>	{/* test t1t2 against a */
677	>	db = t1[1] + dt21[1]*((double)(a - t1[0]))/dt21[0];
678	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
679	>	}
680	>	if(!test_t2t0 && (e0 & 4))
681	>	{
682	>	db = t2[1] + dt02[1]*((double)(a - t2[0]))/dt02[0];
683	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
684	>	}
685
686	<	/* Will return lowest level triangle containing point: It the
687	<	point is on an edge or vertex: will return first associated
688	<	triangle encountered in the child traversal- the others can
689	<	be derived using triangle adjacency information
690	<	*/
691	<	if(QT_IS_TREE(*qtptr))
366	<	{
367	<	/* Find the intersection point */
368	<	tri_plane_equation(v0,v1,v2,n,&pd,FALSE);
369	<	intersect_vector_plane(pt,n,pd,NULL,i_pt);
686	>	return(qt);
687	>	Lfunc_call:
688	>	qt = f.func(f.argptr,root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,scale,
689	>	s0,s1,s2,sq0,sq1,sq2,1,f,n);
690	>	return(qt);
691	>	}
692
371	–	i = max_index(n);
372	–	x = (i+1)%3;
373	–	y = (i+2)%3;
374	–	/* Calculate barycentric coordinates of i_pt */
375	–	bary2d(v0[x],v0[y],v1[x],v1[y],v2[x],v2[y],i_pt[x],i_pt[y],bcoord);
693
377	–	i = bary2d_child(bcoord);
378	–	child = QT_NTH_CHILD_PTR(*qtptr,i);
379	–	if(t0)
380	–	{
381	–	qtSubdivide_tri(v0,v1,v2,a,b,c);
382	–	qtNth_child_tri(v0,v1,v2,a,b,c,i,t0,t1,t2);
383	–	}
384	–	return(qtLocate_leaf(child,bcoord,t0,t1,t2));
385	–	}
386	–	else
387	–	return(qtptr);
388	–	}
694
695	<	int
696	<	qtPoint_in_tri(qtptr,v0,v1,v2,pt,type,which)
697	<	QUADTREE *qtptr;
698	<	FVECT v0,v1,v2;
699	<	FVECT pt;
700	<	char *type,*which;
695	>	/* ASSUMPTION: that triangle t0,t1,t2 intersects quad cell q0,q1,q2 */
696	>
697	>	/*-------q2--------- sq2
698	>	/ \
699	>	s1     /sc \ s0
700	>	qb_____qa
701	>	/ \   / \
702	>	\sq0/sa \ /sb \   /sq1
703	>	\ q0____qc____q1/
704	>	\             /
705	>	\     s2    /
706	>	*/
707	>
708	>	int Find_id=0;
709	>
710	>	QUADTREE
711	>	qtInsert_tri(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,scale,
712	>	s0,s1,s2,sq0,sq1,sq2,f,n)
713	>	int root;
714	>	QUADTREE qt;
715	>	BCOORD q0[3],q1[3],q2[3];
716	>	BCOORD t0[3],t1[3],t2[3];
717	>	BCOORD dt10[3],dt21[3],dt02[3];
718	>	BCOORD scale;
719	>	unsigned int s0,s1,s2,sq0,sq1,sq2;
720	>	FUNC f;
721	>	int n;
722		{
723	<	OBJECT os[MAXSET+1],*optr;
724	<	char d,w;
725	<	int i,id;
400	<	FVECT p0,p1,p2;
723	>	BCOORD a,b,c;
724	>	BCOORD va[3],vb[3],vc[3];
725	>	unsigned int sa,sb,sc;
726
727	<	qtptr = qtRoot_point_locate(qtptr,v0,v1,v2,pt,NULL,NULL,NULL);
727	>	/* If a tree: trivial reject and recurse on potential children */
728	>	if(QT_IS_TREE(qt))
729	>	{
730	>	/* Test against new a edge: if entirely to left: only need
731	>	to visit child 0
732	>	*/
733	>	a = q1[0] + scale;
734	>	b = q0[1] + scale;
735	>	c = q0[2] + scale;
736
737	<	if(!qtptr || QT_IS_EMPTY(*qtptr))
738	<	return(EMPTY);
739	<
407	<	/* Get the set */
408	<	qtgetset(os,*qtptr);
409	<	for (i = QT_SET_CNT(os),optr = QT_SET_PTR(os); i > 0; i--)
737	>	SIDES_GTR(t0,t1,t2,sa,sb,sc,a,b,c);
738	>
739	>	if(sa==7)
740		{
741	<	/* Find the triangle that pt falls in (NOTE:FOR now return first 1) */
742	<	id = QT_SET_NEXT_ELEM(optr);
743	<	qtTri_verts_from_id(id,p0,p1,p2);
744	<	d = test_single_point_against_spherical_tri(p0,p1,p2,pt,&w);
745	<	if(d)
746	<	{
747	<	if(type)
748	<	*type = d;
419	<	if(which)
420	<	*which = w;
421	<	return(id);
422	<	}
741	>	vb[1] = q0[1];
742	>	vc[2] = q0[2];
743	>	vc[1] = b;
744	>	vb[2] = c;
745	>	vb[0] = vc[0] = a;
746	>	QT_NTH_CHILD(qt,0) = qtInsert_tri(root,QT_NTH_CHILD(qt,0),q0,vc,
747	>	vb,t0,t1,t2,dt10,dt21,dt02, scale>>1,sa,s1,s2,sq0,sb,sc,f,n+1);
748	>	return(qt);
749		}
750	<	return(EMPTY);
751	<	}
750	>	if(sb==7)
751	>	{
752	>	va[0] = q1[0];
753	>	vc[2] = q0[2];
754	>	va[1] = vc[1] = b;
755	>	va[2] = c;
756	>	vc[0] = a;
757	>	QT_NTH_CHILD(qt,1) = qtInsert_tri(root,QT_NTH_CHILD(qt,1),vc,q1,va,
758	>	t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,sb,s2,sa,sq1,sc,f,n+1);
759	>	return(qt);
760	>	}
761	>	if(sc==7)
762	>	{
763	>	va[0] = q1[0];
764	>	vb[1] = q0[1];
765	>	va[1] = b;
766	>	va[2] = vb[2] = c;
767	>	vb[0] = a;
768	>	QT_NTH_CHILD(qt,2) = qtInsert_tri(root,QT_NTH_CHILD(qt,2),vb,va,
769	>	q2,t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,s1,sc,sa,sb,sq2,f,n+1);
770	>	return(qt);
771	>	}
772
773	<	QUADTREE
774	<	qtSubdivide(qtptr)
775	<	QUADTREE *qtptr;
776	<	{
777	<	QUADTREE node;
778	<	node = qtAlloc();
779	<	QT_CLEAR_CHILDREN(node);
780	<	*qtptr = node;
781	<	return(node);
773	>	va[0] = q1[0];
774	>	vb[1] = q0[1];
775	>	vc[2] = q0[2];
776	>	va[1] = vc[1] = b;
777	>	va[2] = vb[2] = c;
778	>	vb[0] = vc[0] = a;
779	>	/* If outside of all edges: only need to Visit 3  */
780	>	if(sa==0 && sb==0 && sc==0)
781	>	{
782	>	QT_NTH_CHILD(qt,3) = qtInsert_tri_rev(root,QT_NTH_CHILD(qt,3),va,vb,
783	>	vc,t0,t1,t2,dt10,dt21,dt02, scale>>1,sa,sb,sc,s0,s1,s2,f,n+1);
784	>	return(qt);
785	>	}
786	>
787	>	if(sa)
788	>	QT_NTH_CHILD(qt,0) = qtInsert_tri(root,QT_NTH_CHILD(qt,0),q0,vc,vb,t0,
789	>	t1,t2,dt10,dt21,dt02,scale>>1,sa,s1,s2,sq0,sb,sc,f,n+1);
790	>	if(sb)
791	>	QT_NTH_CHILD(qt,1) = qtInsert_tri(root,QT_NTH_CHILD(qt,1),vc,q1,va,t0,
792	>	t1,t2,dt10,dt21,dt02,scale>>1,s0,sb,s2,sa,sq1,sc,f,n+1);
793	>	if(sc)
794	>	QT_NTH_CHILD(qt,2) = qtInsert_tri(root,QT_NTH_CHILD(qt,2),vb,va,q2,t0,
795	>	t1,t2,dt10,dt21,dt02,scale>>1,s0,s1,sc,sa,sb,sq2,f,n+1);
796	>	QT_NTH_CHILD(qt,3) = qtInsert_tri_rev(root,QT_NTH_CHILD(qt,3),va,vb,vc,t0,
797	>	t1,t2,dt10,dt21,dt02,scale>>1,sa,sb,sc,s0,s1,s2,f,n+1);
798	>	return(qt);
799	>	}
800	>	/* Leaf node: Do definitive test */
801	>	else
802	>	return(qt = qtLeaf_insert_tri(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,
803	>	scale,s0,s1,s2,sq0,sq1,sq2,f,n));
804		}
805
806
807		QUADTREE
808	<	qtSubdivide_nth_child(qt,n)
808	>	qtInsert_tri_rev(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,scale,
809	>	s0,s1,s2,sq0,sq1,sq2,f,n)
810	>	int root;
811		QUADTREE qt;
812	+	BCOORD q0[3],q1[3],q2[3];
813	+	BCOORD t0[3],t1[3],t2[3];
814	+	BCOORD dt10[3],dt21[3],dt02[3];
815	+	BCOORD scale;
816	+	unsigned int s0,s1,s2,sq0,sq1,sq2;
817	+	FUNC f;
818		int n;
819		{
820	<	QUADTREE node;
820	>	BCOORD a,b,c;
821	>	BCOORD va[3],vb[3],vc[3];
822	>	unsigned int sa,sb,sc;
823
824	<	node = qtSubdivide(&(QT_NTH_CHILD(qt,n)));
825	<
826	<	return(node);
827	<	}
824	>	/* If a tree: trivial reject and recurse on potential children */
825	>	if(QT_IS_TREE(qt))
826	>	{
827	>	/* Test against new a edge: if entirely to left: only need
828	>	to visit child 0
829	>	*/
830	>	a = q1[0] - scale;
831	>	b = q0[1] - scale;
832	>	c = q0[2] - scale;
833
834	<	/* for triangle v0-v1-v2- returns a,b,c: children are:
834	>	SIDES_GTR(t0,t1,t2,sa,sb,sc,a,b,c);
835
836	<	v2                     0: v0,a,c
837	<	/\                     1: a,v1,b
838	<	/2 \                    2: c,b,v2
839	<	c/____\b                  3: b,c,a
840	<	/\    /\
841	<	/0 \3 /1 \
842	<	v0____\/____\v1
460	<	a
461	<	*/
836	>	if(sa==0)
837	>	{
838	>	vb[1] = q0[1];
839	>	vc[2] = q0[2];
840	>	vc[1] = b;
841	>	vb[2] = c;
842	>	vb[0] = vc[0] = a;
843
844	<	qtSubdivide_tri(v0,v1,v2,a,b,c)
845	<	FVECT v0,v1,v2;
846	<	FVECT a,b,c;
847	<	{
848	<	EDGE_MIDPOINT_VEC3(a,v0,v1);
849	<	EDGE_MIDPOINT_VEC3(b,v1,v2);
850	<	EDGE_MIDPOINT_VEC3(c,v2,v0);
851	<	}
844	>	QT_NTH_CHILD(qt,0) = qtInsert_tri_rev(root,QT_NTH_CHILD(qt,0),q0,vc,
845	>	vb,t0,t1,t2,dt10,dt21,dt02, scale>>1,sa,s1,s2,sq0,sb,sc,f,n+1);
846	>	return(qt);
847	>	}
848	>	if(sb==0)
849	>	{
850	>	va[0] = q1[0];
851	>	vc[2] = q0[2];
852	>	va[1] = vc[1] = b;
853	>	va[2] = c;
854	>	vc[0] = a;
855	>	QT_NTH_CHILD(qt,1) = qtInsert_tri_rev(root,QT_NTH_CHILD(qt,1),vc,q1,va,
856	>	t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,sb,s2,sa,sq1,sc,f,n+1);
857	>	return(qt);
858	>	}
859	>	if(sc==0)
860	>	{
861	>	va[0] = q1[0];
862	>	vb[1] = q0[1];
863	>	va[1] = b;
864	>	va[2] = vb[2] = c;
865	>	vb[0] = a;
866	>	QT_NTH_CHILD(qt,2) = qtInsert_tri_rev(root,QT_NTH_CHILD(qt,2),vb,va,
867	>	q2,t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,s1,sc,sa,sb,sq2,f,n+1);
868	>	return(qt);
869	>	}
870	>	va[0] = q1[0];
871	>	vb[1] = q0[1];
872	>	vc[2] = q0[2];
873	>	va[1] = vc[1] = b;
874	>	va[2] = vb[2] = c;
875	>	vb[0] = vc[0] = a;
876	>	/* If outside of all edges: only need to Visit 3  */
877	>	if(sa==7 && sb==7 && sc==7)
878	>	{
879	>	QT_NTH_CHILD(qt,3) = qtInsert_tri(root,QT_NTH_CHILD(qt,3),va,vb,
880	>	vc,t0,t1,t2,dt10,dt21,dt02, scale>>1,sa,sb,sc,s0,s1,s2,f,n+1);
881	>	return(qt);
882	>	}
883	>	if(sa!=7)
884	>	QT_NTH_CHILD(qt,0) = qtInsert_tri_rev(root,QT_NTH_CHILD(qt,0),q0,vc,vb,
885	>	t0,t1,t2,dt10,dt21,dt02,scale>>1,sa,s1,s2,sq0,sb,sc,f,n+1);
886	>	if(sb!=7)
887	>	QT_NTH_CHILD(qt,1) = qtInsert_tri_rev(root,QT_NTH_CHILD(qt,1),vc,q1,va,
888	>	t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,sb,s2,sa,sq1,sc,f,n+1);
889	>	if(sc!=7)
890	>	QT_NTH_CHILD(qt,2) = qtInsert_tri_rev(root,QT_NTH_CHILD(qt,2),vb,va,q2,
891	>	t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,s1,sc,sa,sb,sq2,f,n+1);
892
893	<	qtNth_child_tri(v0,v1,v2,a,b,c,i,r0,r1,r2)
894	<	FVECT v0,v1,v2;
895	<	FVECT a,b,c;
475	<	int i;
476	<	FVECT r0,r1,r2;
477	<	{
478	<	switch(i){
479	<	case 0:
480	<	VCOPY(r0,v0); VCOPY(r1,a);    VCOPY(r2,c);
481	<	break;
482	<	case 1:
483	<	VCOPY(r0,a); VCOPY(r1,v1);    VCOPY(r2,b);
484	<	break;
485	<	case 2:
486	<	VCOPY(r0,c); VCOPY(r1,b);    VCOPY(r2,v2);
487	<	break;
488	<	case 3:
489	<	VCOPY(r0,b); VCOPY(r1,c);    VCOPY(r2,a);
490	<	break;
893	>	QT_NTH_CHILD(qt,3) = qtInsert_tri(root,QT_NTH_CHILD(qt,3),va,vb,vc,t0,t1,
894	>	t2,dt10,dt21,dt02,scale>>1,sa,sb,sc,s0,s1,s2,f,n+1);
895	>	return(qt);
896		}
897	+	/* Leaf node: Do definitive test */
898	+	else
899	+	return(qt = qtLeaf_insert_tri_rev(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,
900	+	scale,s0,s1,s2,sq0,sq1,sq2,f,n));
901		}
902
903	<	/* Add triangle "id" to all leaf level cells that are children of
904	<	quadtree pointed to by "qtptr" with cell vertices "t1,t2,t3"
905	<	that it overlaps (vertex and edge adjacencies do not count
906	<	as overlapping). If the addition of the triangle causes the cell to go over
907	<	threshold- the cell is split- and the triangle must be recursively inserted
908	<	into the new child cells: it is assumed that "v1,v2,v3" are normalized
903	>
904	>
905	>
906	>	/*************************************************************************/
907	>	/* Visit code for applying functions: NOTE THIS IS THE SAME AS INSERT CODE:
908	>	except sets flags: wanted insert to be as efficient as possible: so
909	>	broke into two sets of routines. Also traverses only to n levels.
910		*/
911
912	<	int
913	<	qtRoot_add_tri(qtptr,id,t0,t1,t2,v0,v1,v2,n)
914	<	QUADTREE *qtptr;
915	<	int id;
916	<	FVECT t0,t1,t2;
917	<	FVECT v0,v1,v2;
912	>	qtVisit_tri(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,scale,
913	>	s0,s1,s2,sq0,sq1,sq2,f,n)
914	>	int root;
915	>	QUADTREE qt;
916	>	BCOORD q0[3],q1[3],q2[3];
917	>	BCOORD t0[3],t1[3],t2[3];
918	>	BCOORD dt10[3],dt21[3],dt02[3];
919	>	BCOORD scale;
920	>	unsigned int s0,s1,s2,sq0,sq1,sq2;
921	>	FUNC f;
922		int n;
923		{
924	<	char test;
925	<	int found;
924	>	BCOORD a,b,c;
925	>	BCOORD va[3],vb[3],vc[3];
926	>	unsigned int sa,sb,sc;
927
928	<	test = spherical_tri_intersect(t0,t1,t2,v0,v1,v2);
929	<	if(!test)
930	<	return(FALSE);
931	<
932	<	found = qtAdd_tri(qtptr,id,t0,t1,t2,v0,v1,v2,n);
933	<	return(found);
519	<	}
928	>	if(n == 0)
929	>	return;
930	>	/* If a tree: trivial reject and recurse on potential children */
931	>	if(QT_IS_TREE(qt))
932	>	{
933	>	QT_SET_FLAG(qt);
934
935	<	int
936	<	qtRoot_add_tri_from_point(qtptr,id,t0,t1,t2,v0,v1,v2,n)
937	<	QUADTREE *qtptr;
938	<	int id;
939	<	FVECT t0,t1,t2;
940	<	FVECT v0,v1,v2;
527	<	int n;
528	<	{
529	<	char test;
530	<	int found;
935	>	/* Test against new a edge: if entirely to left: only need
936	>	to visit child 0
937	>	*/
938	>	a = q1[0] + scale;
939	>	b = q0[1] + scale;
940	>	c = q0[2] + scale;
941
942	<	test = spherical_tri_intersect(t0,t1,t2,v0,v1,v2);
943	<	if(!test)
944	<	return(FALSE);
945	<
946	<	found = qtAdd_tri_from_point(qtptr,id,t0,t1,t2,v0,v1,v2,n);
947	<	return(found);
942	>	SIDES_GTR(t0,t1,t2,sa,sb,sc,a,b,c);
943	>
944	>	if(sa==7)
945	>	{
946	>	vb[1] = q0[1];
947	>	vc[2] = q0[2];
948	>	vc[1] = b;
949	>	vb[2] = c;
950	>	vb[0] = vc[0] = a;
951	>	qtVisit_tri(root,QT_NTH_CHILD(qt,0),q0,vc,
952	>	vb,t0,t1,t2,dt10,dt21,dt02, scale>>1,sa,s1,s2,sq0,sb,sc,f,n-1);
953	>	return;
954	>	}
955	>	if(sb==7)
956	>	{
957	>	va[0] = q1[0];
958	>	vc[2] = q0[2];
959	>	va[1] = vc[1] = b;
960	>	va[2] = c;
961	>	vc[0] = a;
962	>	qtVisit_tri(root,QT_NTH_CHILD(qt,1),vc,q1,va,
963	>	t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,sb,s2,sa,sq1,sc,f,n-1);
964	>	return;
965	>	}
966	>	if(sc==7)
967	>	{
968	>	va[0] = q1[0];
969	>	vb[1] = q0[1];
970	>	va[1] = b;
971	>	va[2] = vb[2] = c;
972	>	vb[0] = a;
973	>	qtVisit_tri(root,QT_NTH_CHILD(qt,2),vb,va,
974	>	q2,t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,s1,sc,sa,sb,sq2,f,n-1);
975	>	return;
976	>	}
977	>
978	>	va[0] = q1[0];
979	>	vb[1] = q0[1];
980	>	vc[2] = q0[2];
981	>	va[1] = vc[1] = b;
982	>	va[2] = vb[2] = c;
983	>	vb[0] = vc[0] = a;
984	>	/* If outside of all edges: only need to Visit 3  */
985	>	if(sa==0 && sb==0 && sc==0)
986	>	{
987	>	qtVisit_tri_rev(root,QT_NTH_CHILD(qt,3),va,vb,
988	>	vc,t0,t1,t2,dt10,dt21,dt02, scale>>1,sa,sb,sc,s0,s1,s2,f,n-1);
989	>	return;
990	>	}
991	>
992	>	if(sa)
993	>	qtVisit_tri(root,QT_NTH_CHILD(qt,0),q0,vc,vb,t0,
994	>	t1,t2,dt10,dt21,dt02,scale>>1,sa,s1,s2,sq0,sb,sc,f,n-1);
995	>	if(sb)
996	>	qtVisit_tri(root,QT_NTH_CHILD(qt,1),vc,q1,va,t0,
997	>	t1,t2,dt10,dt21,dt02,scale>>1,s0,sb,s2,sa,sq1,sc,f,n-1);
998	>	if(sc)
999	>	qtVisit_tri(root,QT_NTH_CHILD(qt,2),vb,va,q2,t0,
1000	>	t1,t2,dt10,dt21,dt02,scale>>1,s0,s1,sc,sa,sb,sq2,f,n-1);
1001	>	qtVisit_tri_rev(root,QT_NTH_CHILD(qt,3),va,vb,vc,t0,
1002	>	t1,t2,dt10,dt21,dt02,scale>>1,sa,sb,sc,s0,s1,s2,f,n-1);
1003	>	}
1004	>	/* Leaf node: Do definitive test */
1005	>	else
1006	>	qtLeaf_visit_tri(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,
1007	>	scale,s0,s1,s2,sq0,sq1,sq2,f,n);
1008	>
1009		}
1010
1011	<	int
1012	<	qtAdd_tri(qtptr,id,t0,t1,t2,v0,v1,v2,n)
1013	<	QUADTREE *qtptr;
1014	<	int id;
1015	<	FVECT t0,t1,t2;
1016	<	FVECT v0,v1,v2;
1011	>
1012	>	qtVisit_tri_rev(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,scale,
1013	>	s0,s1,s2,sq0,sq1,sq2,f,n)
1014	>	int root;
1015	>	QUADTREE qt;
1016	>	BCOORD q0[3],q1[3],q2[3];
1017	>	BCOORD t0[3],t1[3],t2[3];
1018	>	BCOORD dt10[3],dt21[3],dt02[3];
1019	>	BCOORD scale;
1020	>	unsigned int s0,s1,s2,sq0,sq1,sq2;
1021	>	FUNC f;
1022		int n;
1023		{
1024	<
1025	<	char test;
1026	<	int i,index;
551	<	FVECT a,b,c;
552	<	OBJECT os[MAXSET+1],*optr;
553	<	QUADTREE qt;
554	<	int found;
555	<	FVECT r0,r1,r2;
1024	>	BCOORD a,b,c;
1025	>	BCOORD va[3],vb[3],vc[3];
1026	>	unsigned int sa,sb,sc;
1027
1028	<	found = 0;
1029	<	/* if this is tree: recurse */
1030	<	if(QT_IS_TREE(*qtptr))
1028	>	if(n==0)
1029	>	return;
1030	>	/* If a tree: trivial reject and recurse on potential children */
1031	>	if(QT_IS_TREE(qt))
1032		{
1033	<	n++;
1034	<	qtSubdivide_tri(v0,v1,v2,a,b,c);
1035	<	test = spherical_tri_intersect(t0,t1,t2,v0,a,c);
1036	<	if(test)
1037	<	found |= qtAdd_tri(QT_NTH_CHILD_PTR(*qtptr,0),id,t0,t1,t2,v0,a,c,n);
1038	<	test = spherical_tri_intersect(t0,t1,t2,a,v1,b);
1039	<	if(test)
568	<	found |= qtAdd_tri(QT_NTH_CHILD_PTR(*qtptr,1),id,t0,t1,t2,a,v1,b,n);
569	<	test = spherical_tri_intersect(t0,t1,t2,c,b,v2);
570	<	if(test)
571	<	found |= qtAdd_tri(QT_NTH_CHILD_PTR(*qtptr,2),id,t0,t1,t2,c,b,v2,n);
572	<	test = spherical_tri_intersect(t0,t1,t2,b,c,a);
573	<	if(test)
574	<	found |= qtAdd_tri(QT_NTH_CHILD_PTR(*qtptr,3),id,t0,t1,t2,b,c,a,n);
1033	>	QT_SET_FLAG(qt);
1034	>	/* Test against new a edge: if entirely to left: only need
1035	>	to visit child 0
1036	>	*/
1037	>	a = q1[0] - scale;
1038	>	b = q0[1] - scale;
1039	>	c = q0[2] - scale;
1040
1041	<	#if 0
1042	<	if(!found)
1041	>	SIDES_GTR(t0,t1,t2,sa,sb,sc,a,b,c);
1042	>
1043	>	if(sa==0)
1044		{
1045	<	#ifdef TEST_DRIVER
1046	<	HANDLE_ERROR("qtAdd_tri():Found in parent but not children\n");
1047	<	#else
1048	<	eputs("qtAdd_tri():Found in parent but not children\n");
1049	<	#endif
1045	>	vb[1] = q0[1];
1046	>	vc[2] = q0[2];
1047	>	vc[1] = b;
1048	>	vb[2] = c;
1049	>	vb[0] = vc[0] = a;
1050	>	qtVisit_tri_rev(root,QT_NTH_CHILD(qt,0),q0,vc,
1051	>	vb,t0,t1,t2,dt10,dt21,dt02, scale>>1,sa,s1,s2,sq0,sb,sc,f,n-1);
1052	>	return;
1053		}
1054	<	#endif
1054	>	if(sb==0)
1055	>	{
1056	>	va[0] = q1[0];
1057	>	vc[2] = q0[2];
1058	>	va[1] = vc[1] = b;
1059	>	va[2] = c;
1060	>	vc[0] = a;
1061	>	qtVisit_tri_rev(root,QT_NTH_CHILD(qt,1),vc,q1,va,
1062	>	t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,sb,s2,sa,sq1,sc,f,n-1);
1063	>	return;
1064	>	}
1065	>	if(sc==0)
1066	>	{
1067	>	va[0] = q1[0];
1068	>	vb[1] = q0[1];
1069	>	va[1] = b;
1070	>	va[2] = vb[2] = c;
1071	>	vb[0] = a;
1072	>	qtVisit_tri_rev(root,QT_NTH_CHILD(qt,2),vb,va,
1073	>	q2,t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,s1,sc,sa,sb,sq2,f,n-1);
1074	>	return;
1075	>	}
1076	>	va[0] = q1[0];
1077	>	vb[1] = q0[1];
1078	>	vc[2] = q0[2];
1079	>	va[1] = vc[1] = b;
1080	>	va[2] = vb[2] = c;
1081	>	vb[0] = vc[0] = a;
1082	>	/* If outside of all edges: only need to Visit 3  */
1083	>	if(sa==7 && sb==7 && sc==7)
1084	>	{
1085	>	qtVisit_tri(root,QT_NTH_CHILD(qt,3),va,vb,
1086	>	vc,t0,t1,t2,dt10,dt21,dt02, scale>>1,sa,sb,sc,s0,s1,s2,f,n-1);
1087	>	return;
1088	>	}
1089	>	if(sa!=7)
1090	>	qtVisit_tri_rev(root,QT_NTH_CHILD(qt,0),q0,vc,vb,
1091	>	t0,t1,t2,dt10,dt21,dt02,scale>>1,sa,s1,s2,sq0,sb,sc,f,n-1);
1092	>	if(sb!=7)
1093	>	qtVisit_tri_rev(root,QT_NTH_CHILD(qt,1),vc,q1,va,
1094	>	t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,sb,s2,sa,sq1,sc,f,n-1);
1095	>	if(sc!=7)
1096	>	qtVisit_tri_rev(root,QT_NTH_CHILD(qt,2),vb,va,q2,
1097	>	t0,t1,t2,dt10,dt21,dt02,scale>>1,s0,s1,sc,sa,sb,sq2,f,n-1);
1098	>
1099	>	qtVisit_tri(root,QT_NTH_CHILD(qt,3),va,vb,vc,t0,t1,
1100	>	t2,dt10,dt21,dt02,scale>>1,sa,sb,sc,s0,s1,s2,f,n-1);
1101	>	return;
1102		}
1103	+	/* Leaf node: Do definitive test */
1104		else
1105	<	{
1106	<	/* If this leave node emptry- create a new set */
590	<	if(QT_IS_EMPTY(*qtptr))
591	<	*qtptr = qtaddelem(*qtptr,id);
592	<	else
593	<	{
594	<	qtgetset(os,*qtptr);
595	<	/* If the set is too large: subdivide */
596	<	if(QT_SET_CNT(os) < QT_SET_THRESHOLD)
597	<	*qtptr = qtaddelem(*qtptr,id);
598	<	else
599	<	{
600	<	if (n < QT_MAX_LEVELS)
601	<	{
602	<	/* If set size exceeds threshold: subdivide cell and
603	<	reinsert set tris into cell
604	<	*/
605	<	n++;
606	<	qtfreeleaf(*qtptr);
607	<	qtSubdivide(qtptr);
608	<	found = qtAdd_tri(qtptr,id,t0,t1,t2,v0,v1,v2,n);
609	<	#if 0
610	<	if(!found)
611	<	{
612	<	#ifdef TEST_DRIVER
613	<	HANDLE_ERROR("qtAdd_tri():Found in parent but not children\n");
614	<	#else
615	<	eputs("qtAdd_tri():Found in parent but not children\n");
616	<	#endif
617	<	}
618	<	#endif
619	<	for(optr = &(os[1]),i = QT_SET_CNT(os); i > 0; i--)
620	<	{
621	<	id = QT_SET_NEXT_ELEM(optr);
622	<	qtTri_verts_from_id(id,r0,r1,r2);
623	<	found=qtAdd_tri(qtptr,id,r0,r1,r2,v0,v1,v2,n);
624	<	#ifdef DEBUG
625	<	if(!found)
626	<	eputs("qtAdd_tri():Reinsert-in parent but not children\n");
627	<	#endif
628	<	}
629	<	}
630	<	else
631	<	if(QT_SET_CNT(os) < QT_MAX_SET)
632	<	{
633	<	*qtptr = qtaddelem(*qtptr,id);
634	<	#if 0
635	<	{
636	<	int k;
637	<	qtgetset(os,*qtptr);
638	<	printf("\n%d:\n",os[0]);
639	<	for(k=1; k <= os[0];k++)
640	<	printf("%d ",os[k]);
641	<	printf("\n");
642	<	}
643	<	#endif
644	<	/*
645	<	insertelem(os,id);
646	<	*qtptr = fullnode(os);
647	<	*/
648	<	}
649	<	else
650	<	{
651	<	#ifdef DEBUG
652	<	eputs("qtAdd_tri():two many levels\n");
653	<	#endif
654	<	return(FALSE);
655	<	}
656	<	}
657	<	}
658	<	}
659	<	return(TRUE);
1105	>	qtLeaf_visit_tri_rev(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,
1106	>	scale,s0,s1,s2,sq0,sq1,sq2,f,n);
1107		}
1108
1109
663	–	int
664	–	qtApply_to_tri_cells(qtptr,t0,t1,t2,v0,v1,v2,func,arg)
665	–	QUADTREE *qtptr;
666	–	FVECT t0,t1,t2;
667	–	FVECT v0,v1,v2;
668	–	int (*func)();
669	–	char *arg;
670	–	{
671	–	char test;
672	–	FVECT a,b,c;
1110
1111	<	/* test if triangle (t0,t1,t2) overlaps cell triangle (v0,v1,v2) */
1112	<	test = spherical_tri_intersect(t0,t1,t2,v0,v1,v2);
1111	>	qtLeaf_visit_tri(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,
1112	>	scale, s0,s1,s2,sq0,sq1,sq2,f,n)
1113	>	int root;
1114	>	QUADTREE qt;
1115	>	BCOORD q0[3],q1[3],q2[3];
1116	>	BCOORD t0[3],t1[3],t2[3];
1117	>	BCOORD dt10[3],dt21[3],dt02[3];
1118	>	unsigned int scale,s0,s1,s2,sq0,sq1,sq2;
1119	>	FUNC f;
1120	>	int n;
1121	>	{
1122	>	double db;
1123	>	unsigned int e0,e1,e2;
1124	>	char al,ah,bl,bh,cl,ch,testl,testh;
1125	>	char test_t0t1,test_t1t2,test_t2t0;
1126	>	BCOORD a,b,c;
1127	>
1128	>	/* First check if can trivial accept: if vertex in cell */
1129	>	if(s0 & s1 & s2)
1130	>	goto Lfunc_call;
1131
1132	<	/* If triangles do not overlap: done */
1133	<	if(!test)
1134	<	return(FALSE);
1132	>	/* Assumption: Could not trivial reject*/
1133	>	/* IF any coords lie on edge- must be in if couldnt reject */
1134	>	a = q1[0];b= q0[1]; c= q0[2];
1135	>	if(t0[0]== a || t0[1] == b || t0[2] == c)
1136	>	goto Lfunc_call;
1137	>	if(t1[0]== a || t1[1] == b || t1[2] == c)
1138	>	goto Lfunc_call;
1139	>	if(t2[0]== a || t2[1] == b || t2[2] == c)
1140	>	goto Lfunc_call;
1141	>
1142	>	/* Test for edge crossings */
1143	>	/* Test t0t1,t1t2,t2t0 against a */
1144	>	/* Calculate edge crossings */
1145	>	e0  = (s0 ^ ((s0 >> 1) | (s0 << 2 & 4)));
1146	>	/* See if edge can be trivially rejected from intersetion testing */
1147	>	test_t0t1 = !(((s0 & 6)==0) || ((s1 & 6)==0)|| ((s2 & 6)==0) ||
1148	>	((sq0 & 6)==6) ||((sq1 & 6)==6)|| ((sq2 & 6)==6));
1149	>	bl=bh=0;
1150	>	if(test_t0t1 && (e0 & 2) )
1151	>	{
1152	>	/* Must do double calculation to avoid overflow */
1153	>	db = t0[1] + dt10[1]*((double)(a-t0[0]))/dt10[0];
1154	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
1155	>	}
1156	>	test_t1t2= !(((s0 & 3)==0) || ((s1 & 3)==0)|| ((s2 & 3)==0) ||
1157	>	((sq0 & 3)==3) ||((sq1 & 3)==3)|| ((sq2 & 3)==3));
1158	>	if(test_t1t2 && (e0 & 1))
1159	>	{    /* test t1t2 against a */
1160	>	db = t1[1] + dt21[1]*((double)(a - t1[0]))/dt21[0];
1161	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
1162	>	}
1163	>	test_t2t0 = !(((s0 & 5)==0) || ((s1 & 5)==0)|| ((s2 & 5)==0) ||
1164	>	((sq0 & 5)==5) ||((sq1 & 5)==5)|| ((sq2 & 5)==5));
1165	>	if(test_t2t0 && (e0 & 4))
1166	>	{
1167	>	db = t2[1] + dt02[1]*((double)(a - t2[0]))/dt02[0];
1168	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
1169	>	}
1170	>	e1  = (s1 ^ ((s1 >> 1) | (s1 << 2 & 4)));
1171	>	cl = ch = 0;
1172	>	if(test_t0t1 && (e1 & 2))
1173	>	{/* test t0t1 against b */
1174	>	db = t0[2] + dt10[2]*((double)(b-t0[1]))/dt10[1];
1175	>	TEST_INT(testl,testh,db,c,q2[2],cl,ch)
1176	>	}
1177	>	if(test_t1t2 && (e1 & 1))
1178	>	{/* test t1t2 against b */
1179	>	db = t1[2] + dt21[2]*((double)(q0[1] - t1[1]))/dt21[1];
1180	>	TEST_INT(testl,testh,db,c,q2[2],cl,ch)
1181	>	}
1182	>	if(test_t2t0 && (e1 & 4))
1183	>	{/* test t2t0 against b */
1184	>	db = t2[2] + dt02[2]*((double)(q0[1] - t2[1]))/dt02[1];
1185	>	TEST_INT(testl,testh,db,c,q2[2],cl,ch)
1186	>	}
1187	>
1188	>	/* test edges against c */
1189	>	e2  = (s2 ^ ((s2 >> 1) | (s2 << 2 & 4)));
1190	>	al = ah = 0;
1191	>	if(test_t0t1 && (e2 & 2))
1192	>	{ /* test t0t1 against c */
1193	>	db = t0[0] + dt10[0]*((double)(c-t0[2]))/dt10[2];
1194	>	TEST_INT(testl,testh,db,a,q0[0],al,ah)
1195	>	}
1196	>	if(test_t1t2 && (e2 & 1))
1197	>	{
1198	>	db = t1[0] + dt21[0]*((double)(c - t1[2]))/dt21[2];
1199	>	TEST_INT(testl,testh,db,a,q0[0],al,ah)
1200	>	}
1201	>	if(test_t2t0 && (e2 & 4))
1202	>	{ /* test t2t0 against c */
1203	>	db = t2[0] + dt02[0]*((double)(c - t2[2]))/dt02[2];
1204	>	TEST_INT(testl,testh,db,a,q0[0],al,ah)
1205	>	}
1206	>	/* Only remaining case is if some edge trivially rejected */
1207	>	if(!e0 || !e1 || !e2)
1208	>	return;
1209
1210	<	/* if this is tree: recurse */
1211	<	if(QT_IS_TREE(*qtptr))
1210	>	/* Only one/none got tested - pick either of other two/any two */
1211	>	/* Only need to test one edge */
1212	>	if(!test_t0t1 && (e0 & 2))
1213		{
1214	<	qtSubdivide_tri(v0,v1,v2,a,b,c);
1215	<	qtApply_to_tri_cells(QT_NTH_CHILD_PTR(*qtptr,0),t0,t1,t2,v0,a,c,func,arg);
686	<	qtApply_to_tri_cells(QT_NTH_CHILD_PTR(*qtptr,1),t0,t1,t2,a,v1,b,func,arg);
687	<	qtApply_to_tri_cells(QT_NTH_CHILD_PTR(*qtptr,2),t0,t1,t2,c,b,v2,func,arg);
688	<	qtApply_to_tri_cells(QT_NTH_CHILD_PTR(*qtptr,3),t0,t1,t2,b,c,a,func,arg);
1214	>	db = t0[1] + dt10[1]*((double)(a-t0[0]))/dt10[0];
1215	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
1216		}
1217	<	else
1218	<	return(func(qtptr,arg));
1217	>	if(!test_t1t2 && (e0 & 1))
1218	>	{/* test t1t2 against a */
1219	>	db = t1[1] + dt21[1]*((double)(a - t1[0]))/dt21[0];
1220	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
1221	>	}
1222	>	if(!test_t2t0 && (e0 & 4))
1223	>	{
1224	>	db = t2[1] + dt02[1]*((double)(a - t2[0]))/dt02[0];
1225	>	TEST_INT(testl,testh,db,b,q1[1],bl,bh)
1226	>	}
1227	>
1228	>	return;
1229	>
1230	>	Lfunc_call:
1231	>
1232	>	f.func(f.argptr,root,qt,n);
1233	>	if(!QT_IS_EMPTY(qt))
1234	>	QT_LEAF_SET_FLAG(qt);
1235	>
1236		}
1237
1238
1239	<	int
1240	<	qtRemove_tri(qtptr,id,t0,t1,t2,v0,v1,v2)
1241	<	QUADTREE *qtptr;
1242	<	int id;
1243	<	FVECT t0,t1,t2;
1244	<	FVECT v0,v1,v2;
1245	<	{
1239	>
1240	>	/* Leaf node: Do definitive test */
1241	>	QUADTREE
1242	>	qtLeaf_visit_tri_rev(root,qt,q0,q1,q2,t0,t1,t2,dt10,dt21,dt02,
1243	>	scale, s0,s1,s2,sq0,sq1,sq2,f,n)
1244	>	int root;
1245	>	QUADTREE qt;
1246	>	BCOORD q0[3],q1[3],q2[3];
1247	>	BCOORD t0[3],t1[3],t2[3];
1248	>	BCOORD dt10[3],dt21[3],dt02[3];
1249	>	unsigned int scale,s0,s1,s2,sq0,sq1,sq2;
1250	>	FUNC f;
1251	>	int n;
1252	>	{
1253	>	double db;
1254	>	unsigned int e0,e1,e2;
1255	>	BCOORD a,b,c;
1256	>	double p0[2], p1[2],cp;
1257	>	char al,ah,bl,bh,cl,ch;
1258	>	char testl,testh,test_t0t1,test_t1t2,test_t2t0;
1259	>	unsigned int ls0,ls1,ls2;
1260
1261	<	char test;
1262	<	int i;
1263	<	FVECT a,b,c;
706	<	OBJECT os[MAXSET+1];
1261	>	/* May have gotten passed trivial reject if one/two vertices are ON */
1262	>	a = q1[0];b= q0[1]; c= q0[2];
1263	>	SIDES_LESS(t0,t1,t2,ls0,ls1,ls2,a,b,c);
1264
1265	<	/* test if triangle (t0,t1,t2) overlaps cell triangle (v0,v1,v2) */
1266	<	test = spherical_tri_intersect(t0,t1,t2,v0,v1,v2);
1265	>	/* First check if can trivial accept: if vertex in cell */
1266	>	if(ls0 & ls1 & ls2)
1267	>	goto Lfunc_call;
1268
1269	<	/* If triangles do not overlap: done */
1270	<	if(!test)
1271	<	return(FALSE);
1269	>	if(ls0==0 || ls1 == 0 || ls2 ==0)
1270	>	return;
1271	>	/* Assumption: Could not trivial reject*/
1272	>	/* IF any coords lie on edge- must be in if couldnt reject */
1273
1274	<	/* if this is tree: recurse */
1275	<	if(QT_IS_TREE(*qtptr))
1274	>	if(t0[0]== a || t0[1] == b || t0[2] == c)
1275	>	goto Lfunc_call;
1276	>	if(t1[0]== a || t1[1] == b || t1[2] == c)
1277	>	goto Lfunc_call;
1278	>	if(t2[0]== a || t2[1] == b || t2[2] == c)
1279	>	goto Lfunc_call;
1280	>
1281	>	/* Test for edge crossings */
1282	>	/* Test t0t1 against a,b,c */
1283	>	/* First test if t0t1 can be trivially rejected */
1284	>	/* If both edges are outside bounds- dont need to test */
1285	>
1286	>	/* Test t0t1,t1t2,t2t0 against a */
1287	>	test_t0t1 = !(((ls0 & 6)==0) || ((ls1 & 6)==0)|| ((ls2 & 6)==0) ||
1288	>	((sq0 & 6)==0) ||((sq1 & 6)==0)|| ((sq2 & 6)==0));
1289	>	e0  = (ls0 ^ ((ls0 >> 1) | (ls0 << 2 & 4)));
1290	>	bl=bh=0;
1291	>	/* Test t0t1,t1t2,t2t0 against a */
1292	>	if(test_t0t1 && (e0 & 2) )
1293		{
1294	<	qtSubdivide_tri(v0,v1,v2,a,b,c);
1295	<	qtRemove_tri(QT_NTH_CHILD_PTR(*qtptr,0),id,t0,t1,t2,v0,a,c);
720	<	qtRemove_tri(QT_NTH_CHILD_PTR(*qtptr,1),id,t0,t1,t2,a,v1,b);
721	<	qtRemove_tri(QT_NTH_CHILD_PTR(*qtptr,2),id,t0,t1,t2,c,b,v2);
722	<	qtRemove_tri(QT_NTH_CHILD_PTR(*qtptr,3),id,t0,t1,t2,b,c,a);
1294	>	db = t0[1] + dt10[1]*((double)(a-t0[0])/dt10[0]);
1295	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
1296		}
1297	<	else
1297	>	test_t1t2= !(((ls0 & 3)==0) || ((ls1 & 3)==0)|| ((ls2 & 3)==0) ||
1298	>	((sq0 & 3)==0) ||((sq1 & 3)==0)|| ((sq2 & 3)==0));
1299	>	if(test_t1t2 && (e0 & 1))
1300	>	{    /* test t1t2 against a */
1301	>	db = t1[1] + dt21[1]*((double)(a - t1[0]))/dt21[0];
1302	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
1303	>	}
1304	>	test_t2t0 = !(((ls0 & 5)==0) || ((ls1 & 5)==0)|| ((ls2 & 5)==0) ||
1305	>	((sq0 & 5)==0) ||((sq1 & 5)==0)|| ((sq2 & 5)==0));
1306	>	if(test_t2t0 && (e0 & 4))
1307		{
1308	<	if(QT_IS_EMPTY(*qtptr))
1308	>	db = t2[1] + dt02[1]*((double)(a - t2[0]))/dt02[0];
1309	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
1310	>	}
1311	>	cl = ch = 0;
1312	>	e1  = (ls1 ^ ((ls1 >> 1) | (ls1 << 2 & 4)));
1313	>	if(test_t0t1 && (e1 & 2))
1314	>	{/* test t0t1 against b */
1315	>	db = t0[2] + dt10[2]*(((double)(b-t0[1]))/dt10[1]);
1316	>	TEST_INT(testl,testh,db,q1[2],c,cl,ch)
1317	>	}
1318	>	if(test_t1t2 && (e1 & 1))
1319	>	{/* test t1t2 against b */
1320	>	db = t1[2] + dt21[2]*((double)(b - t1[1]))/dt21[1];
1321	>	TEST_INT(testl,testh,db,q1[2],c,cl,ch)
1322	>	}
1323	>	if(test_t2t0 && (e1 & 4))
1324	>	{/* test t2t0 against b */
1325	>	db = t2[2] + dt02[2]*((double)(b - t2[1]))/dt02[1];
1326	>	TEST_INT(testl,testh,db,q1[2],c,cl,ch)
1327	>	}
1328	>	al = ah = 0;
1329	>	e2  = (ls2 ^ ((ls2 >> 1) | (ls2 << 2 & 4)));
1330	>	if(test_t0t1 && (e2 & 2))
1331	>	{ /* test t0t1 against c */
1332	>	db = t0[0] + dt10[0]*(((double)(c-t0[2]))/dt10[2]);
1333	>	TEST_INT(testl,testh,db,q0[0],a,al,ah)
1334	>	}
1335	>	if(test_t1t2 && (e2 & 1))
1336	>	{
1337	>	db = t1[0] + dt21[0]*((double)(c - t1[2]))/dt21[2];
1338	>	TEST_INT(testl,testh,db,q0[0],a,al,ah)
1339	>	}
1340	>	if(test_t2t0 && (e2 & 4))
1341	>	{ /* test t2t0 against c */
1342	>	db = t2[0] + dt02[0]*((double)(c - t2[2]))/dt02[2];
1343	>	TEST_INT(testl,testh,db,q0[0],a,al,ah)
1344	>	}
1345	>	/* Only remaining case is if some edge trivially rejected */
1346	>	if(!e0 || !e1 || !e2)
1347	>	return;
1348	>
1349	>	/* Only one/none got tested - pick either of other two/any two */
1350	>	/* Only need to test one edge */
1351	>	if(!test_t0t1 && (e0 & 2))
1352	>	{
1353	>	db = t0[1] + dt10[1]*((double)(a-t0[0]))/dt10[0];
1354	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
1355	>	}
1356	>	if(!test_t1t2 && (e0 & 1))
1357	>	{/* test t1t2 against a */
1358	>	db = t1[1] + dt21[1]*((double)(a - t1[0]))/dt21[0];
1359	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
1360	>	}
1361	>	if(!test_t2t0 && (e0 & 4))
1362	>	{
1363	>	db = t2[1] + dt02[1]*((double)(a - t2[0]))/dt02[0];
1364	>	TEST_INT(testl,testh,db,q1[1],b,bl,bh)
1365	>	}
1366	>
1367	>	return;
1368	>
1369	>	Lfunc_call:
1370	>	f.func(f.argptr,root,qt,n);
1371	>	if(!QT_IS_EMPTY(qt))
1372	>	QT_LEAF_SET_FLAG(qt);
1373	>	}
1374	>
1375	>
1376	>	QUADTREE
1377	>	qtInsert_point(root,qt,parent,q0,q1,q2,bc,scale,f,n,doneptr)
1378	>	int root;
1379	>	QUADTREE qt,parent;
1380	>	BCOORD q0[3],q1[3],q2[3],bc[3],scale;
1381	>	FUNC f;
1382	>	int n,*doneptr;
1383	>	{
1384	>	BCOORD a,b,c;
1385	>	BCOORD va[3],vb[3],vc[3];
1386	>
1387	>	if(QT_IS_TREE(qt))
1388	>	{
1389	>	a = q1[0] + scale;
1390	>	b = q0[1] + scale;
1391	>	c = q0[2] + scale;
1392	>	if(bc[0] > a)
1393	>	{
1394	>	vc[0] = a; vc[1] = b; vc[2] = q0[2];
1395	>	vb[0] = a; vb[1] = q0[1]; vb[2] = c;
1396	>	QT_NTH_CHILD(qt,0) = qtInsert_point(root,QT_NTH_CHILD(qt,0),
1397	>	qt,q0,vc,vb,bc,scale>>1,f,n+1,doneptr);
1398	>	if(!*doneptr)
1399		{
1400	<	#ifdef DEBUG
1401	<	eputs("qtRemove_tri(): triangle not found\n");
1402	<	#endif
1403	<	}
1404	<	/* remove id from set */
1405	<	else
1400	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,1),f,doneptr);
1401	>	if(!*doneptr)
1402	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,2),f,doneptr);
1403	>	if(!*doneptr)
1404	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,3),f,doneptr);
1405	>	}
1406	>	return(qt);
1407	>	}
1408	>	if(bc[1] > b)
1409	>	{
1410	>	vc[0] = a; vc[1] = b; vc[2] = q0[2];
1411	>	va[0] = q1[0]; va[1] = b; va[2] = c;
1412	>	QT_NTH_CHILD(qt,1) =qtInsert_point(root,QT_NTH_CHILD(qt,1),
1413	>	qt,vc,q1,va,bc,scale >>1,f,n+1,doneptr);
1414	>	if(!*doneptr)
1415		{
1416	<	qtgetset(os,*qtptr);
1417	<	if(!inset(os,id))
1418	<	{
1419	<	#ifdef DEBUG
1420	<	eputs("qtRemove_tri(): tri not in set\n");
1421	<	#endif
1422	<	}
1423	<	else
1424	<	{
1425	<	*qtptr = qtdelelem(*qtptr,id);
1426	<	}
1427	<	}
1416	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,0),f,doneptr);
1417	>	if(!*doneptr)
1418	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,2),f,doneptr);
1419	>	if(!*doneptr)
1420	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,3),f,doneptr);
1421	>	}
1422	>	return(qt);
1423	>	}
1424	>	if(bc[2] > c)
1425	>	{
1426	>	va[0] = q1[0]; va[1] = b; va[2] = c;
1427	>	vb[0] = a; vb[1] = q0[1]; vb[2] = c;
1428	>	QT_NTH_CHILD(qt,2) = qtInsert_point(root,QT_NTH_CHILD(qt,2),
1429	>	qt,vb,va,q2,bc,scale>>1,f,n+1,doneptr);
1430	>	if(!*doneptr)
1431	>	{
1432	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,0),f,doneptr);
1433	>	if(!*doneptr)
1434	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,1),f,doneptr);
1435	>	if(!*doneptr)
1436	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,3),f,doneptr);
1437	>	}
1438	>	return(qt);
1439	>	}
1440	>	else
1441	>	{
1442	>	va[0] = q1[0]; va[1] = b; va[2] = c;
1443	>	vb[0] = a; vb[1] = q0[1]; vb[2] = c;
1444	>	vc[0] = a; vc[1] = b; vc[2] = q0[2];
1445	>	QT_NTH_CHILD(qt,3) = qtInsert_point_rev(root,QT_NTH_CHILD(qt,3),
1446	>	qt,va,vb,vc,bc,scale>>1,f,n+1,doneptr);
1447	>	if(!*doneptr)
1448	>	{
1449	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,0),f,doneptr);
1450	>	if(!*doneptr)
1451	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,1),f,doneptr);
1452	>	if(!*doneptr)
1453	>	f.func_after(f.argptr,QT_NTH_CHILD(qt,2),f,doneptr);
1454	>	}
1455	>	return(qt);
1456	>	}
1457		}
1458	<	return(TRUE);
1458	>	else
1459	>	{
1460	>	qt = f.func(f.argptr,root,qt,parent,q0,q1,q2,bc,scale,0,f,n,doneptr);
1461	>	return(qt);
1462	>	}
1463		}
1464
1465	+
1466	+	QUADTREE
1467	+	qtInsert_point_rev(root,qt,parent,q0,q1,q2,bc,scale,f,n,doneptr)
1468	+	int root;
1469	+	QUADTREE qt,parent;
1470	+	BCOORD q0[3],q1[3],q2[3],bc[3];
1471	+	BCOORD scale;
1472	+	FUNC f;
1473	+	int n,*doneptr;
1474	+	{
1475	+	BCOORD a,b,c;
1476	+	BCOORD va[3],vb[3],vc[3];
1477	+
1478	+	if(QT_IS_TREE(qt))
1479	+	{
1480	+	a = q1[0] - scale;
1481	+	b = q0[1] - scale;
1482	+	c = q0[2] - scale;
1483	+	if(bc[0] < a)
1484	+	{
1485	+	vc[0] = a; vc[1] = b; vc[2] = q0[2];
1486	+	vb[0] = a; vb[1] = q0[1]; vb[2] = c;
1487	+	QT_NTH_CHILD(qt,0) = qtInsert_point_rev(root,QT_NTH_CHILD(qt,0),
1488	+	qt,q0,vc,vb,bc,scale>>1,f,n+1,doneptr);
1489	+	if(!*doneptr)
1490	+	{
1491	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,1),f,doneptr);
1492	+	if(!*doneptr)
1493	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,2),f,doneptr);
1494	+	if(!*doneptr)
1495	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,3),f,doneptr);
1496	+	}
1497	+	return(qt);
1498	+	}
1499	+	if(bc[1] < b)
1500	+	{
1501	+	vc[0] = a; vc[1] = b; vc[2] = q0[2];
1502	+	va[0] = q1[0]; va[1] = b; va[2] = c;
1503	+	QT_NTH_CHILD(qt,1) = qtInsert_point_rev(root,QT_NTH_CHILD(qt,1),
1504	+	qt,vc,q1,va,bc,scale>>1,f,n+1,doneptr);
1505	+	if(!*doneptr)
1506	+	{
1507	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,0),f,doneptr);
1508	+	if(!*doneptr)
1509	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,2),f,doneptr);
1510	+	if(!*doneptr)
1511	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,3),f,doneptr);
1512	+	}
1513	+	return(qt);
1514	+	}
1515	+	if(bc[2] < c)
1516	+	{
1517	+	va[0] = q1[0]; va[1] = b; va[2] = c;
1518	+	vb[0] = a; vb[1] = q0[1]; vb[2] = c;
1519	+	QT_NTH_CHILD(qt,2) = qtInsert_point_rev(root,QT_NTH_CHILD(qt,2),
1520	+	qt,vb,va,q2,bc,scale>>1,f,n+1,doneptr);
1521	+	if(!*doneptr)
1522	+	{
1523	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,0),f,doneptr);
1524	+	if(!*doneptr)
1525	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,1),f,doneptr);
1526	+	if(!*doneptr)
1527	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,3),f,doneptr);
1528	+	}
1529	+	return(qt);
1530	+	}
1531	+	else
1532	+	{
1533	+	va[0] = q1[0]; va[1] = b; va[2] = c;
1534	+	vb[0] = a; vb[1] = q0[1]; vb[2] = c;
1535	+	vc[0] = a; vc[1] = b; vc[2] = q0[2];
1536	+	QT_NTH_CHILD(qt,3) = qtInsert_point(root,QT_NTH_CHILD(qt,3),
1537	+	qt,va,vb,vc,bc,scale>>1,f,n+1,doneptr);
1538	+	if(!*doneptr)
1539	+	{
1540	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,0),f,doneptr);
1541	+	if(!*doneptr)
1542	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,1),f,doneptr);
1543	+	if(!*doneptr)
1544	+	f.func_after(f.argptr,QT_NTH_CHILD(qt,2),f,doneptr);
1545	+	}
1546	+	return(qt);
1547	+	}
1548	+	}
1549	+	else
1550	+	{
1551	+	qt = f.func(f.argptr,root,qt,parent,q0,q1,q2,bc,scale,1,f,n,doneptr);
1552	+	return(qt);
1553	+	}
1554	+	}
1555
1556
1557

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