1 |
gwlarson |
3.1 |
/* Copyright (c) 1998 Silicon Graphics, Inc. */ |
2 |
|
|
|
3 |
|
|
#ifndef lint |
4 |
|
|
static char SCCSid[] = "$SunId$ SGI"; |
5 |
|
|
#endif |
6 |
|
|
|
7 |
|
|
/* |
8 |
|
|
* sm_qtree.c: adapted from octree.c from radiance code |
9 |
|
|
*/ |
10 |
|
|
/* |
11 |
|
|
* octree.c - routines dealing with octrees and cubes. |
12 |
|
|
* |
13 |
|
|
* 7/28/85 |
14 |
|
|
*/ |
15 |
|
|
|
16 |
|
|
#include "standard.h" |
17 |
gwlarson |
3.7 |
#include "sm_flag.h" |
18 |
gwlarson |
3.1 |
#include "sm_geom.h" |
19 |
|
|
#include "sm_qtree.h" |
20 |
|
|
|
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 |
gwlarson |
3.4 |
int4 *quad_flag= NULL; |
25 |
gwlarson |
3.1 |
|
26 |
gwlarson |
3.4 |
#ifdef TEST_DRIVER |
27 |
|
|
extern FVECT Pick_v0[500],Pick_v1[500],Pick_v2[500]; |
28 |
|
|
extern int Pick_cnt,Pick_tri,Pick_samp; |
29 |
|
|
extern FVECT Pick_point[500]; |
30 |
gwlarson |
3.7 |
|
31 |
|
|
|
32 |
gwlarson |
3.4 |
#endif |
33 |
gwlarson |
3.7 |
int Incnt=0; |
34 |
gwlarson |
3.4 |
|
35 |
gwlarson |
3.1 |
QUADTREE |
36 |
|
|
qtAlloc() /* allocate a quadtree */ |
37 |
|
|
{ |
38 |
|
|
register QUADTREE freet; |
39 |
|
|
|
40 |
|
|
if ((freet = quad_free_list) != EMPTY) |
41 |
|
|
{ |
42 |
|
|
quad_free_list = QT_NTH_CHILD(freet, 0); |
43 |
|
|
return(freet); |
44 |
|
|
} |
45 |
|
|
freet = treetop; |
46 |
|
|
if (QT_BLOCK_INDEX(freet) == 0) |
47 |
|
|
{ |
48 |
|
|
if (QT_BLOCK(freet) >= QT_MAX_BLK) |
49 |
|
|
return(EMPTY); |
50 |
|
|
if ((quad_block[QT_BLOCK(freet)] = (QUADTREE *)malloc( |
51 |
gwlarson |
3.3 |
QT_BLOCK_SIZE*4*sizeof(QUADTREE))) == NULL) |
52 |
gwlarson |
3.7 |
error(SYSTEM,"qtAlloc(): Unable to allocate memory\n"); |
53 |
gwlarson |
3.4 |
|
54 |
gwlarson |
3.7 |
/* Realloc the per/node flags */ |
55 |
gwlarson |
3.3 |
quad_flag = (int4 *)realloc((char *)quad_flag, |
56 |
gwlarson |
3.7 |
(QT_BLOCK(freet)+1)*((QT_BLOCK_SIZE+7)>>3)); |
57 |
gwlarson |
3.3 |
if (quad_flag == NULL) |
58 |
gwlarson |
3.7 |
error(SYSTEM,"qtAlloc(): Unable to allocate memory\n"); |
59 |
gwlarson |
3.1 |
} |
60 |
|
|
treetop += 4; |
61 |
|
|
return(freet); |
62 |
|
|
} |
63 |
|
|
|
64 |
|
|
|
65 |
gwlarson |
3.3 |
qtClearAllFlags() /* clear all quadtree branch flags */ |
66 |
|
|
{ |
67 |
gwlarson |
3.7 |
if (!treetop) |
68 |
|
|
return; |
69 |
|
|
|
70 |
|
|
/* Clear the node flags*/ |
71 |
|
|
bzero((char *)quad_flag, (QT_BLOCK(treetop-4)+1)*((QT_BLOCK_SIZE+7)>>3)); |
72 |
|
|
/* Clear set flags */ |
73 |
|
|
qtclearsetflags(); |
74 |
gwlarson |
3.3 |
} |
75 |
|
|
|
76 |
gwlarson |
3.1 |
qtFree(qt) /* free a quadtree */ |
77 |
|
|
register QUADTREE qt; |
78 |
|
|
{ |
79 |
|
|
register int i; |
80 |
|
|
|
81 |
|
|
if (!QT_IS_TREE(qt)) |
82 |
|
|
{ |
83 |
|
|
qtfreeleaf(qt); |
84 |
|
|
return; |
85 |
|
|
} |
86 |
|
|
for (i = 0; i < 4; i++) |
87 |
|
|
qtFree(QT_NTH_CHILD(qt, i)); |
88 |
|
|
QT_NTH_CHILD(qt, 0) = quad_free_list; |
89 |
|
|
quad_free_list = qt; |
90 |
|
|
} |
91 |
|
|
|
92 |
|
|
|
93 |
|
|
qtDone() /* free EVERYTHING */ |
94 |
|
|
{ |
95 |
|
|
register int i; |
96 |
gwlarson |
3.7 |
|
97 |
gwlarson |
3.4 |
qtfreeleaves(); |
98 |
gwlarson |
3.1 |
for (i = 0; i < QT_MAX_BLK; i++) |
99 |
|
|
{ |
100 |
gwlarson |
3.3 |
if (quad_block[i] == NULL) |
101 |
|
|
break; |
102 |
|
|
free((char *)quad_block[i]); |
103 |
gwlarson |
3.1 |
quad_block[i] = NULL; |
104 |
|
|
} |
105 |
gwlarson |
3.7 |
/* Free the flags */ |
106 |
gwlarson |
3.3 |
if (i) free((char *)quad_flag); |
107 |
|
|
quad_flag = NULL; |
108 |
gwlarson |
3.1 |
quad_free_list = EMPTY; |
109 |
|
|
treetop = 0; |
110 |
|
|
} |
111 |
|
|
|
112 |
|
|
QUADTREE |
113 |
gwlarson |
3.7 |
qtLocate_leaf(qt,bcoord) |
114 |
|
|
QUADTREE qt; |
115 |
|
|
BCOORD bcoord[3]; |
116 |
gwlarson |
3.2 |
{ |
117 |
|
|
int i; |
118 |
|
|
|
119 |
gwlarson |
3.7 |
if(QT_IS_TREE(qt)) |
120 |
|
|
{ |
121 |
|
|
i = baryi_child(bcoord); |
122 |
gwlarson |
3.4 |
|
123 |
gwlarson |
3.7 |
return(qtLocate_leaf(QT_NTH_CHILD(qt,i),bcoord)); |
124 |
|
|
} |
125 |
|
|
else |
126 |
|
|
return(qt); |
127 |
gwlarson |
3.2 |
} |
128 |
|
|
|
129 |
gwlarson |
3.7 |
/* |
130 |
|
|
Return the quadtree node containing pt. It is assumed that pt is in |
131 |
|
|
the root node qt with ws vertices q0,q1,q2 and plane equation peq. |
132 |
|
|
*/ |
133 |
gwlarson |
3.2 |
QUADTREE |
134 |
gwlarson |
3.7 |
qtRoot_point_locate(qt,q0,q1,q2,peq,pt) |
135 |
|
|
QUADTREE qt; |
136 |
|
|
FVECT q0,q1,q2; |
137 |
|
|
FPEQ peq; |
138 |
gwlarson |
3.1 |
FVECT pt; |
139 |
|
|
{ |
140 |
gwlarson |
3.2 |
int i,x,y; |
141 |
gwlarson |
3.7 |
FVECT i_pt; |
142 |
|
|
double bcoord[3]; |
143 |
|
|
BCOORD bcoordi[3]; |
144 |
gwlarson |
3.1 |
|
145 |
gwlarson |
3.7 |
/* Will return lowest level triangle containing point: It the |
146 |
gwlarson |
3.1 |
point is on an edge or vertex: will return first associated |
147 |
|
|
triangle encountered in the child traversal- the others can |
148 |
|
|
be derived using triangle adjacency information |
149 |
|
|
*/ |
150 |
gwlarson |
3.7 |
if(QT_IS_TREE(qt)) |
151 |
gwlarson |
3.1 |
{ |
152 |
gwlarson |
3.2 |
/* Find the intersection point */ |
153 |
gwlarson |
3.7 |
intersect_vector_plane(pt,peq,NULL,i_pt); |
154 |
gwlarson |
3.2 |
|
155 |
gwlarson |
3.7 |
x = FP_X(peq); |
156 |
|
|
y = FP_Y(peq); |
157 |
gwlarson |
3.2 |
/* Calculate barycentric coordinates of i_pt */ |
158 |
gwlarson |
3.7 |
bary2d(q0[x],q0[y],q1[x],q1[y],q2[x],q2[y],i_pt[x],i_pt[y],bcoord); |
159 |
|
|
|
160 |
|
|
/* convert to integer coordinate */ |
161 |
|
|
convert_dtol(bcoord,bcoordi); |
162 |
gwlarson |
3.2 |
|
163 |
gwlarson |
3.7 |
i = baryi_child(bcoordi); |
164 |
|
|
|
165 |
|
|
return(qtLocate_leaf(QT_NTH_CHILD(qt,i),bcoordi)); |
166 |
gwlarson |
3.1 |
} |
167 |
|
|
else |
168 |
gwlarson |
3.7 |
return(qt); |
169 |
gwlarson |
3.1 |
} |
170 |
|
|
|
171 |
gwlarson |
3.4 |
|
172 |
gwlarson |
3.1 |
|
173 |
|
|
|
174 |
gwlarson |
3.2 |
/* for triangle v0-v1-v2- returns a,b,c: children are: |
175 |
gwlarson |
3.1 |
|
176 |
gwlarson |
3.2 |
v2 0: v0,a,c |
177 |
|
|
/\ 1: a,v1,b |
178 |
|
|
/2 \ 2: c,b,v2 |
179 |
|
|
c/____\b 3: b,c,a |
180 |
gwlarson |
3.1 |
/\ /\ |
181 |
gwlarson |
3.2 |
/0 \3 /1 \ |
182 |
|
|
v0____\/____\v1 |
183 |
gwlarson |
3.1 |
a |
184 |
|
|
*/ |
185 |
|
|
|
186 |
|
|
|
187 |
gwlarson |
3.2 |
qtNth_child_tri(v0,v1,v2,a,b,c,i,r0,r1,r2) |
188 |
|
|
FVECT v0,v1,v2; |
189 |
gwlarson |
3.1 |
FVECT a,b,c; |
190 |
|
|
int i; |
191 |
gwlarson |
3.2 |
FVECT r0,r1,r2; |
192 |
gwlarson |
3.1 |
{ |
193 |
gwlarson |
3.4 |
|
194 |
gwlarson |
3.7 |
if(!a) |
195 |
|
|
{ |
196 |
|
|
/* Caution: r's must not be equal to v's:will be incorrect */ |
197 |
|
|
switch(i){ |
198 |
|
|
case 0: |
199 |
|
|
VCOPY(r0,v0); |
200 |
|
|
EDGE_MIDPOINT_VEC3(r1,v0,v1); |
201 |
|
|
EDGE_MIDPOINT_VEC3(r2,v2,v0); |
202 |
|
|
break; |
203 |
|
|
case 1: |
204 |
|
|
EDGE_MIDPOINT_VEC3(r0,v0,v1); |
205 |
|
|
VCOPY(r1,v1); |
206 |
|
|
EDGE_MIDPOINT_VEC3(r2,v1,v2); |
207 |
|
|
break; |
208 |
|
|
case 2: |
209 |
|
|
EDGE_MIDPOINT_VEC3(r0,v2,v0); |
210 |
|
|
EDGE_MIDPOINT_VEC3(r1,v1,v2); |
211 |
|
|
VCOPY(r2,v2); |
212 |
|
|
break; |
213 |
|
|
case 3: |
214 |
|
|
EDGE_MIDPOINT_VEC3(r0,v1,v2); |
215 |
|
|
EDGE_MIDPOINT_VEC3(r1,v2,v0); |
216 |
|
|
EDGE_MIDPOINT_VEC3(r2,v0,v1); |
217 |
|
|
break; |
218 |
|
|
} |
219 |
gwlarson |
3.1 |
} |
220 |
gwlarson |
3.7 |
else |
221 |
|
|
{ |
222 |
|
|
switch(i){ |
223 |
|
|
case 0: |
224 |
|
|
VCOPY(r0,v0); VCOPY(r1,a); VCOPY(r2,c); |
225 |
|
|
break; |
226 |
|
|
case 1: |
227 |
|
|
VCOPY(r0,a); VCOPY(r1,v1); VCOPY(r2,b); |
228 |
|
|
break; |
229 |
|
|
case 2: |
230 |
|
|
VCOPY(r0,c); VCOPY(r1,b); VCOPY(r2,v2); |
231 |
|
|
break; |
232 |
|
|
case 3: |
233 |
|
|
VCOPY(r0,b); VCOPY(r1,c); VCOPY(r2,a); |
234 |
|
|
break; |
235 |
|
|
} |
236 |
|
|
} |
237 |
gwlarson |
3.1 |
} |
238 |
|
|
|
239 |
|
|
/* Add triangle "id" to all leaf level cells that are children of |
240 |
|
|
quadtree pointed to by "qtptr" with cell vertices "t1,t2,t3" |
241 |
|
|
that it overlaps (vertex and edge adjacencies do not count |
242 |
|
|
as overlapping). If the addition of the triangle causes the cell to go over |
243 |
|
|
threshold- the cell is split- and the triangle must be recursively inserted |
244 |
|
|
into the new child cells: it is assumed that "v1,v2,v3" are normalized |
245 |
|
|
*/ |
246 |
|
|
|
247 |
gwlarson |
3.7 |
QUADTREE |
248 |
|
|
qtRoot_add_tri(qt,q0,q1,q2,t0,t1,t2,id,n) |
249 |
|
|
QUADTREE qt; |
250 |
gwlarson |
3.4 |
FVECT q0,q1,q2; |
251 |
|
|
FVECT t0,t1,t2; |
252 |
gwlarson |
3.7 |
int id,n; |
253 |
gwlarson |
3.3 |
{ |
254 |
gwlarson |
3.7 |
if(stri_intersect(q0,q1,q2,t0,t1,t2)) |
255 |
|
|
qt = qtAdd_tri(qt,q0,q1,q2,t0,t1,t2,id,n); |
256 |
gwlarson |
3.3 |
|
257 |
gwlarson |
3.7 |
return(qt); |
258 |
gwlarson |
3.3 |
} |
259 |
|
|
|
260 |
gwlarson |
3.7 |
QUADTREE |
261 |
|
|
qtRoot_remove_tri(qt,q0,q1,q2,t0,t1,t2,id,n) |
262 |
|
|
QUADTREE qt; |
263 |
gwlarson |
3.4 |
FVECT q0,q1,q2; |
264 |
gwlarson |
3.3 |
FVECT t0,t1,t2; |
265 |
gwlarson |
3.7 |
int id,n; |
266 |
|
|
{ |
267 |
|
|
|
268 |
|
|
if(stri_intersect(q0,q1,q2,t0,t1,t2)) |
269 |
|
|
qt = qtRemove_tri(qt,q0,q1,q2,t0,t1,t2,id,n); |
270 |
|
|
return(qt); |
271 |
|
|
} |
272 |
|
|
|
273 |
|
|
|
274 |
|
|
QUADTREE |
275 |
|
|
qtAdd_tri(qt,q0,q1,q2,t0,t1,t2,id,n) |
276 |
|
|
QUADTREE qt; |
277 |
|
|
FVECT q0,q1,q2; |
278 |
|
|
FVECT t0,t1,t2; |
279 |
gwlarson |
3.1 |
int id; |
280 |
|
|
int n; |
281 |
|
|
{ |
282 |
|
|
FVECT a,b,c; |
283 |
gwlarson |
3.7 |
OBJECT tset[QT_MAXSET+1],*optr,*tptr; |
284 |
gwlarson |
3.2 |
FVECT r0,r1,r2; |
285 |
gwlarson |
3.7 |
int i; |
286 |
gwlarson |
3.1 |
|
287 |
|
|
/* if this is tree: recurse */ |
288 |
gwlarson |
3.7 |
if(QT_IS_TREE(qt)) |
289 |
gwlarson |
3.1 |
{ |
290 |
gwlarson |
3.7 |
QT_SET_FLAG(qt); |
291 |
gwlarson |
3.1 |
n++; |
292 |
gwlarson |
3.4 |
qtSubdivide_tri(q0,q1,q2,a,b,c); |
293 |
gwlarson |
3.7 |
|
294 |
|
|
if(stri_intersect(t0,t1,t2,q0,a,c)) |
295 |
|
|
QT_NTH_CHILD(qt,0) = qtAdd_tri(QT_NTH_CHILD(qt,0),q0,a,c,t0,t1,t2,id,n); |
296 |
|
|
if(stri_intersect(t0,t1,t2,a,q1,b)) |
297 |
|
|
QT_NTH_CHILD(qt,1) = qtAdd_tri(QT_NTH_CHILD(qt,1),a,q1,b,t0,t1,t2,id,n); |
298 |
|
|
if(stri_intersect(t0,t1,t2,c,b,q2)) |
299 |
|
|
QT_NTH_CHILD(qt,2) = qtAdd_tri(QT_NTH_CHILD(qt,2),c,b,q2,t0,t1,t2,id,n); |
300 |
|
|
if(stri_intersect(t0,t1,t2,b,c,a)) |
301 |
|
|
QT_NTH_CHILD(qt,3) = qtAdd_tri(QT_NTH_CHILD(qt,3),b,c,a,t0,t1,t2,id,n); |
302 |
|
|
return(qt); |
303 |
gwlarson |
3.1 |
} |
304 |
|
|
else |
305 |
|
|
{ |
306 |
|
|
/* If this leave node emptry- create a new set */ |
307 |
gwlarson |
3.7 |
if(QT_IS_EMPTY(qt)) |
308 |
|
|
qt = qtaddelem(qt,id); |
309 |
gwlarson |
3.1 |
else |
310 |
|
|
{ |
311 |
|
|
/* If the set is too large: subdivide */ |
312 |
gwlarson |
3.7 |
optr = qtqueryset(qt); |
313 |
gwlarson |
3.4 |
|
314 |
|
|
if(QT_SET_CNT(optr) < QT_SET_THRESHOLD) |
315 |
gwlarson |
3.7 |
qt = qtaddelem(qt,id); |
316 |
|
|
else |
317 |
|
|
{ |
318 |
|
|
if (n < QT_MAX_LEVELS) |
319 |
|
|
{ |
320 |
|
|
/* If set size exceeds threshold: subdivide cell and |
321 |
|
|
reinsert set tris into cell |
322 |
|
|
*/ |
323 |
|
|
/* CAUTION:If QT_SET_THRESHOLD << QT_MAXSET, and dont add |
324 |
|
|
more than a few triangles before expanding: then are safe here |
325 |
|
|
otherwise must check to make sure set size is < MAXSET, |
326 |
|
|
or qtgetset could overflow os. |
327 |
|
|
*/ |
328 |
|
|
tptr = qtqueryset(qt); |
329 |
|
|
if(QT_SET_CNT(tptr) > QT_MAXSET) |
330 |
|
|
tptr = (OBJECT *)malloc((QT_SET_CNT(tptr)+1)*sizeof(OBJECT)); |
331 |
|
|
else |
332 |
|
|
tptr = tset; |
333 |
|
|
if(!tptr) |
334 |
|
|
goto memerr; |
335 |
gwlarson |
3.4 |
|
336 |
gwlarson |
3.7 |
qtgetset(tptr,qt); |
337 |
|
|
n++; |
338 |
|
|
qtfreeleaf(qt); |
339 |
|
|
qtSubdivide(qt); |
340 |
|
|
qt = qtAdd_tri(qt,q0,q1,q2,t0,t1,t2,id,n); |
341 |
gwlarson |
3.4 |
|
342 |
gwlarson |
3.7 |
for(optr = QT_SET_PTR(tptr),i = QT_SET_CNT(tptr); i > 0; i--) |
343 |
|
|
{ |
344 |
|
|
id = QT_SET_NEXT_ELEM(optr); |
345 |
|
|
if(!qtTri_from_id(id,r0,r1,r2)) |
346 |
|
|
continue; |
347 |
|
|
qt = qtAdd_tri(qt,q0,q1,q2,r0,r1,r2,id,n); |
348 |
|
|
} |
349 |
|
|
if(tptr != tset) |
350 |
|
|
free(tptr); |
351 |
gwlarson |
3.4 |
} |
352 |
gwlarson |
3.1 |
else |
353 |
gwlarson |
3.7 |
qt = qtaddelem(qt,id); |
354 |
|
|
} |
355 |
gwlarson |
3.1 |
} |
356 |
|
|
} |
357 |
gwlarson |
3.7 |
return(qt); |
358 |
|
|
memerr: |
359 |
|
|
error(SYSTEM,"qtAdd_tri():Unable to allocate memory"); |
360 |
gwlarson |
3.1 |
} |
361 |
|
|
|
362 |
|
|
|
363 |
gwlarson |
3.7 |
QUADTREE |
364 |
|
|
qtRemove_tri(qt,id,q0,q1,q2,t0,t1,t2) |
365 |
|
|
QUADTREE qt; |
366 |
gwlarson |
3.1 |
int id; |
367 |
gwlarson |
3.7 |
FVECT q0,q1,q2; |
368 |
gwlarson |
3.2 |
FVECT t0,t1,t2; |
369 |
gwlarson |
3.1 |
{ |
370 |
|
|
FVECT a,b,c; |
371 |
|
|
|
372 |
gwlarson |
3.2 |
/* test if triangle (t0,t1,t2) overlaps cell triangle (v0,v1,v2) */ |
373 |
gwlarson |
3.7 |
if(!stri_intersect(t0,t1,t2,q0,q1,q2)) |
374 |
|
|
return(qt); |
375 |
gwlarson |
3.1 |
|
376 |
|
|
/* if this is tree: recurse */ |
377 |
gwlarson |
3.7 |
if(QT_IS_TREE(qt)) |
378 |
gwlarson |
3.1 |
{ |
379 |
gwlarson |
3.7 |
qtSubdivide_tri(q0,q1,q2,a,b,c); |
380 |
|
|
QT_NTH_CHILD(qt,0) = qtRemove_tri(QT_NTH_CHILD(qt,0),id,t0,t1,t2,q0,a,c); |
381 |
|
|
QT_NTH_CHILD(qt,1) = qtRemove_tri(QT_NTH_CHILD(qt,1),id,t0,t1,t2,a,q1,b); |
382 |
|
|
QT_NTH_CHILD(qt,2) = qtRemove_tri(QT_NTH_CHILD(qt,2),id,t0,t1,t2,c,b,q2); |
383 |
|
|
QT_NTH_CHILD(qt,3) = qtRemove_tri(QT_NTH_CHILD(qt,3),id,t0,t1,t2,b,c,a); |
384 |
|
|
return(qt); |
385 |
gwlarson |
3.1 |
} |
386 |
|
|
else |
387 |
|
|
{ |
388 |
gwlarson |
3.7 |
if(QT_IS_EMPTY(qt)) |
389 |
gwlarson |
3.1 |
{ |
390 |
|
|
#ifdef DEBUG |
391 |
|
|
eputs("qtRemove_tri(): triangle not found\n"); |
392 |
|
|
#endif |
393 |
|
|
} |
394 |
|
|
/* remove id from set */ |
395 |
|
|
else |
396 |
|
|
{ |
397 |
gwlarson |
3.7 |
if(!qtinset(qt,id)) |
398 |
gwlarson |
3.1 |
{ |
399 |
|
|
#ifdef DEBUG |
400 |
|
|
eputs("qtRemove_tri(): tri not in set\n"); |
401 |
|
|
#endif |
402 |
|
|
} |
403 |
|
|
else |
404 |
gwlarson |
3.7 |
qt = qtdelelem(qt,id); |
405 |
gwlarson |
3.1 |
} |
406 |
|
|
} |
407 |
gwlarson |
3.7 |
return(qt); |
408 |
gwlarson |
3.1 |
} |
409 |
gwlarson |
3.4 |
|
410 |
|
|
|
411 |
gwlarson |
3.7 |
QUADTREE |
412 |
|
|
qtVisit_tri_interior(qt,q0,q1,q2,t0,t1,t2,n0,n1,n2,n,func,f,argptr) |
413 |
|
|
QUADTREE qt; |
414 |
gwlarson |
3.4 |
FVECT q0,q1,q2; |
415 |
|
|
FVECT t0,t1,t2; |
416 |
gwlarson |
3.7 |
FVECT n0,n1,n2; |
417 |
gwlarson |
3.4 |
int n; |
418 |
gwlarson |
3.7 |
int (*func)(),*f; |
419 |
|
|
int *argptr; |
420 |
gwlarson |
3.4 |
{ |
421 |
gwlarson |
3.7 |
FVECT a,b,c; |
422 |
gwlarson |
3.4 |
|
423 |
|
|
/* If qt Flag set, or qt vertices interior to t0t1t2-descend */ |
424 |
|
|
tree_modified: |
425 |
|
|
|
426 |
gwlarson |
3.7 |
if(QT_IS_TREE(qt)) |
427 |
gwlarson |
3.4 |
{ |
428 |
gwlarson |
3.7 |
if(QT_IS_FLAG(qt) || point_in_stri_n(n0,n1,n2,q0)) |
429 |
gwlarson |
3.4 |
{ |
430 |
gwlarson |
3.7 |
QT_SET_FLAG(qt); |
431 |
gwlarson |
3.4 |
qtSubdivide_tri(q0,q1,q2,a,b,c); |
432 |
|
|
/* descend to children */ |
433 |
gwlarson |
3.7 |
QT_NTH_CHILD(qt,0) = qtVisit_tri_interior(QT_NTH_CHILD(qt,0), |
434 |
|
|
q0,a,c,t0,t1,t2,n0,n1,n2,n+1,func,f,argptr); |
435 |
|
|
QT_NTH_CHILD(qt,1) = qtVisit_tri_interior(QT_NTH_CHILD(qt,1), |
436 |
|
|
a,q1,b,t0,t1,t2,n0,n1,n2,n+1,func,f,argptr); |
437 |
|
|
QT_NTH_CHILD(qt,2) = qtVisit_tri_interior(QT_NTH_CHILD(qt,2), |
438 |
|
|
c,b,q2,t0,t1,t2,n0,n1,n2,n+1,func,f,argptr); |
439 |
|
|
QT_NTH_CHILD(qt,3) = qtVisit_tri_interior(QT_NTH_CHILD(qt,3), |
440 |
|
|
b,c,a,t0,t1,t2,n0,n1,n2,n+1,func,f,argptr); |
441 |
gwlarson |
3.4 |
} |
442 |
|
|
} |
443 |
|
|
else |
444 |
gwlarson |
3.7 |
if((!QT_IS_EMPTY(qt) && QT_LEAF_IS_FLAG(qt)) || |
445 |
|
|
point_in_stri_n(n0,n1,n2,q0)) |
446 |
gwlarson |
3.4 |
{ |
447 |
gwlarson |
3.7 |
func(&qt,f,argptr,q0,q1,q2,t0,t1,t2,n); |
448 |
|
|
if(QT_FLAG_IS_MODIFIED(*f)) |
449 |
gwlarson |
3.4 |
{ |
450 |
gwlarson |
3.7 |
QT_SET_FLAG(qt); |
451 |
|
|
goto tree_modified; |
452 |
gwlarson |
3.4 |
} |
453 |
gwlarson |
3.7 |
if(QT_IS_LEAF(qt)) |
454 |
|
|
QT_LEAF_SET_FLAG(qt); |
455 |
|
|
else |
456 |
|
|
if(QT_IS_TREE(qt)) |
457 |
|
|
QT_SET_FLAG(qt); |
458 |
|
|
} |
459 |
|
|
return(qt); |
460 |
gwlarson |
3.4 |
} |
461 |
|
|
|
462 |
|
|
|
463 |
|
|
|
464 |
gwlarson |
3.6 |
int |
465 |
|
|
move_to_nbri(b,db0,db1,db2,tptr) |
466 |
|
|
BCOORD b[3]; |
467 |
|
|
BDIR db0,db1,db2; |
468 |
|
|
TINT *tptr; |
469 |
|
|
{ |
470 |
|
|
TINT t,dt; |
471 |
|
|
BCOORD bc; |
472 |
|
|
int nbr; |
473 |
|
|
|
474 |
|
|
nbr = -1; |
475 |
gwlarson |
3.7 |
*tptr = 0; |
476 |
gwlarson |
3.6 |
/* Advance to next node */ |
477 |
gwlarson |
3.7 |
if(b[0]==0 && db0 < 0) |
478 |
|
|
return(0); |
479 |
|
|
if(b[1]==0 && db1 < 0) |
480 |
|
|
return(1); |
481 |
|
|
if(b[2]==0 && db2 < 0) |
482 |
|
|
return(2); |
483 |
|
|
|
484 |
gwlarson |
3.6 |
if(db0 < 0) |
485 |
|
|
{ |
486 |
gwlarson |
3.7 |
bc = b[0]<<SHIFT_MAXBCOORD; |
487 |
gwlarson |
3.6 |
t = bc/-db0; |
488 |
|
|
nbr = 0; |
489 |
|
|
} |
490 |
|
|
else |
491 |
|
|
t = HUGET; |
492 |
|
|
if(db1 < 0) |
493 |
|
|
{ |
494 |
gwlarson |
3.7 |
bc = b[1] <<SHIFT_MAXBCOORD; |
495 |
gwlarson |
3.6 |
dt = bc/-db1; |
496 |
|
|
if( dt < t) |
497 |
|
|
{ |
498 |
|
|
t = dt; |
499 |
|
|
nbr = 1; |
500 |
|
|
} |
501 |
|
|
} |
502 |
|
|
if(db2 < 0) |
503 |
|
|
{ |
504 |
gwlarson |
3.7 |
bc = b[2] << SHIFT_MAXBCOORD; |
505 |
gwlarson |
3.6 |
dt = bc/-db2; |
506 |
|
|
if( dt < t) |
507 |
|
|
{ |
508 |
|
|
t = dt; |
509 |
|
|
nbr = 2; |
510 |
|
|
} |
511 |
|
|
} |
512 |
|
|
*tptr = t; |
513 |
|
|
return(nbr); |
514 |
|
|
} |
515 |
gwlarson |
3.7 |
|
516 |
|
|
QUADTREE |
517 |
|
|
qtVisit_tri_edges(qt,b,db0,db1,db2,db,wptr,nextptr,t,sign,sfactor,func,f,argptr) |
518 |
|
|
QUADTREE qt; |
519 |
gwlarson |
3.6 |
BCOORD b[3]; |
520 |
|
|
BDIR db0,db1,db2,db[3][3]; |
521 |
gwlarson |
3.7 |
int *wptr,*nextptr; |
522 |
gwlarson |
3.6 |
TINT t[3]; |
523 |
gwlarson |
3.7 |
int sign,sfactor; |
524 |
gwlarson |
3.4 |
int (*func)(); |
525 |
gwlarson |
3.7 |
int *f,*argptr; |
526 |
gwlarson |
3.4 |
{ |
527 |
|
|
int i,found; |
528 |
gwlarson |
3.7 |
QUADTREE child; |
529 |
gwlarson |
3.4 |
int nbr,next,w; |
530 |
gwlarson |
3.7 |
TINT t_g,t_l,t_i,l; |
531 |
|
|
|
532 |
|
|
if(QT_IS_TREE(qt)) |
533 |
gwlarson |
3.4 |
{ |
534 |
gwlarson |
3.7 |
/* Find the appropriate child and reset the coord */ |
535 |
|
|
i = baryi_child(b); |
536 |
gwlarson |
3.4 |
|
537 |
gwlarson |
3.7 |
QT_SET_FLAG(qt); |
538 |
gwlarson |
3.4 |
|
539 |
gwlarson |
3.7 |
for(;;) |
540 |
|
|
{ |
541 |
|
|
w = *wptr; |
542 |
|
|
child = QT_NTH_CHILD(qt,i); |
543 |
|
|
if(i != 3) |
544 |
|
|
QT_NTH_CHILD(qt,i) = |
545 |
|
|
qtVisit_tri_edges(child,b,db0,db1,db2,db,wptr,nextptr,t,sign, |
546 |
|
|
sfactor+1,func,f,argptr); |
547 |
|
|
else |
548 |
|
|
/* If the center cell- must flip direction signs */ |
549 |
|
|
QT_NTH_CHILD(qt,i) = |
550 |
|
|
qtVisit_tri_edges(child,b,-db0,-db1,-db2,db,wptr,nextptr,t,1-sign, |
551 |
|
|
sfactor+1,func,f,argptr); |
552 |
|
|
|
553 |
|
|
if(QT_FLAG_IS_DONE(*f)) |
554 |
|
|
return(qt); |
555 |
|
|
if(*wptr != w) |
556 |
|
|
{ |
557 |
gwlarson |
3.4 |
w = *wptr; |
558 |
gwlarson |
3.7 |
db0 = db[w][0];db1 = db[w][1];db2 = db[w][2]; |
559 |
|
|
if(sign) |
560 |
|
|
{ db0 *= -1;db1 *= -1; db2 *= -1;} |
561 |
gwlarson |
3.4 |
} |
562 |
gwlarson |
3.7 |
/* If in same block: traverse */ |
563 |
|
|
if(i==3) |
564 |
|
|
next = *nextptr; |
565 |
|
|
else |
566 |
|
|
if(*nextptr == i) |
567 |
|
|
next = 3; |
568 |
|
|
else |
569 |
|
|
{ |
570 |
|
|
/* reset the barycentric coordinates in the parents*/ |
571 |
|
|
baryi_parent(b,i); |
572 |
|
|
/* Else pop up to parent and traverse from there */ |
573 |
|
|
return(qt); |
574 |
|
|
} |
575 |
|
|
baryi_from_child(b,i,next); |
576 |
|
|
i = next; |
577 |
|
|
} |
578 |
gwlarson |
3.4 |
} |
579 |
|
|
else |
580 |
|
|
{ |
581 |
gwlarson |
3.7 |
func(&qt,f,argptr); |
582 |
|
|
if(QT_FLAG_IS_DONE(*f)) |
583 |
|
|
{ |
584 |
|
|
if(!QT_IS_EMPTY(qt)) |
585 |
|
|
QT_LEAF_SET_FLAG(qt); |
586 |
|
|
return(qt); |
587 |
|
|
} |
588 |
|
|
|
589 |
|
|
if(!QT_IS_EMPTY(qt)) |
590 |
|
|
QT_LEAF_SET_FLAG(qt); |
591 |
|
|
/* Advance to next node */ |
592 |
|
|
w = *wptr; |
593 |
|
|
while(1) |
594 |
gwlarson |
3.4 |
{ |
595 |
gwlarson |
3.7 |
nbr = move_to_nbri(b,db0,db1,db2,&t_i); |
596 |
|
|
|
597 |
gwlarson |
3.6 |
t_g = t_i >> sfactor; |
598 |
|
|
|
599 |
gwlarson |
3.4 |
if(t_g >= t[w]) |
600 |
|
|
{ |
601 |
|
|
if(w == 2) |
602 |
gwlarson |
3.7 |
{ |
603 |
|
|
QT_FLAG_SET_DONE(*f); |
604 |
|
|
return(qt); |
605 |
|
|
} |
606 |
|
|
/* The edge fits in the cell- therefore the result of shifting |
607 |
|
|
db by sfactor is guaranteed to be less than MAXBCOORD |
608 |
|
|
*/ |
609 |
gwlarson |
3.6 |
/* Caution: (t[w]*db) must occur before divide by MAXBCOORD |
610 |
|
|
since t[w] will always be < MAXBCOORD |
611 |
gwlarson |
3.7 |
*/ |
612 |
|
|
l = t[w] << sfactor; |
613 |
|
|
/* NOTE: Change divides to Shift and multiply by sign*/ |
614 |
|
|
b[0] += (l*db0)/MAXBCOORD; |
615 |
|
|
b[1] += (l*db1)/MAXBCOORD; |
616 |
|
|
b[2] += (l*db2)/MAXBCOORD; |
617 |
gwlarson |
3.4 |
w++; |
618 |
gwlarson |
3.6 |
db0 = db[w][0]; db1 = db[w][1]; db2 = db[w][2]; |
619 |
gwlarson |
3.4 |
if(sign) |
620 |
gwlarson |
3.7 |
{ db0 *= -1;db1 *= -1; db2 *= -1;} |
621 |
gwlarson |
3.4 |
} |
622 |
gwlarson |
3.7 |
else |
623 |
|
|
{ |
624 |
gwlarson |
3.6 |
/* Caution: (t_i*db) must occur before divide by MAXBCOORD |
625 |
gwlarson |
3.7 |
since t_i will always be < MAXBCOORD*/ |
626 |
|
|
/* NOTE: Change divides to Shift and by sign*/ |
627 |
|
|
b[0] += (t_i *db0) / MAXBCOORD; |
628 |
|
|
b[1] += (t_i *db1) / MAXBCOORD; |
629 |
|
|
b[2] += (t_i *db2) / MAXBCOORD; |
630 |
|
|
|
631 |
gwlarson |
3.4 |
t[w] -= t_g; |
632 |
|
|
*wptr = w; |
633 |
gwlarson |
3.7 |
*nextptr = nbr; |
634 |
|
|
return(qt); |
635 |
gwlarson |
3.4 |
} |
636 |
|
|
} |
637 |
gwlarson |
3.6 |
} |
638 |
gwlarson |
3.4 |
} |
639 |
|
|
|
640 |
|
|
|
641 |
gwlarson |
3.7 |
QUADTREE |
642 |
|
|
qtRoot_visit_tri_edges(qt,q0,q1,q2,peq,tri,i_pt,wptr,nextptr,func,f,argptr) |
643 |
|
|
QUADTREE qt; |
644 |
gwlarson |
3.4 |
FVECT q0,q1,q2; |
645 |
gwlarson |
3.7 |
FPEQ peq; |
646 |
gwlarson |
3.4 |
FVECT tri[3],i_pt; |
647 |
gwlarson |
3.7 |
int *wptr,*nextptr; |
648 |
gwlarson |
3.4 |
int (*func)(); |
649 |
gwlarson |
3.7 |
int *f,*argptr; |
650 |
gwlarson |
3.4 |
{ |
651 |
gwlarson |
3.7 |
int x,y,z,w,i,j,first; |
652 |
|
|
QUADTREE child; |
653 |
|
|
FVECT c,d,v[3]; |
654 |
|
|
double b[4][3],db[3][3],et[3],exit_pt; |
655 |
gwlarson |
3.6 |
BCOORD bi[3]; |
656 |
|
|
TINT t[3]; |
657 |
|
|
BDIR dbi[3][3]; |
658 |
gwlarson |
3.7 |
|
659 |
|
|
first =0; |
660 |
gwlarson |
3.4 |
w = *wptr; |
661 |
gwlarson |
3.7 |
if(w==-1) |
662 |
|
|
{ |
663 |
|
|
first = 1; |
664 |
|
|
*wptr = w = 0; |
665 |
|
|
} |
666 |
gwlarson |
3.4 |
/* Project the origin onto the root node plane */ |
667 |
|
|
|
668 |
gwlarson |
3.6 |
t[0] = t[1] = t[2] = 0; |
669 |
gwlarson |
3.4 |
/* Find the intersection point of the origin */ |
670 |
|
|
/* map to 2d by dropping maximum magnitude component of normal */ |
671 |
gwlarson |
3.7 |
|
672 |
|
|
x = FP_X(peq); |
673 |
|
|
y = FP_Y(peq); |
674 |
|
|
z = FP_Z(peq); |
675 |
gwlarson |
3.4 |
/* Calculate barycentric coordinates for current vertex */ |
676 |
gwlarson |
3.7 |
if(!first) |
677 |
gwlarson |
3.4 |
bary2d(q0[x],q0[y],q1[x],q1[y],q2[x],q2[y],i_pt[x],i_pt[y],b[3]); |
678 |
|
|
else |
679 |
|
|
/* Just starting: b[0] is the origin point: guaranteed to be valid b*/ |
680 |
|
|
{ |
681 |
gwlarson |
3.7 |
intersect_vector_plane(tri[0],peq,&(et[0]),v[0]); |
682 |
gwlarson |
3.4 |
bary2d(q0[x],q0[y],q1[x],q1[y],q2[x],q2[y],v[0][x],v[0][y],b[0]); |
683 |
|
|
VCOPY(b[3],b[0]); |
684 |
|
|
} |
685 |
|
|
|
686 |
|
|
j = (w+1)%3; |
687 |
gwlarson |
3.7 |
intersect_vector_plane(tri[j],peq,&(et[j]),v[j]); |
688 |
gwlarson |
3.4 |
bary2d(q0[x],q0[y],q1[x],q1[y],q2[x],q2[y],v[j][x],v[j][y],b[j]); |
689 |
|
|
if(et[j] < 0.0) |
690 |
|
|
{ |
691 |
|
|
VSUB(db[w],b[3],b[j]); |
692 |
gwlarson |
3.6 |
t[w] = HUGET; |
693 |
gwlarson |
3.4 |
} |
694 |
|
|
else |
695 |
|
|
{ |
696 |
gwlarson |
3.5 |
/* NOTE: for stability: do not increment with ipt- use full dir and |
697 |
|
|
calculate t: but for wrap around case: could get same problem? |
698 |
|
|
*/ |
699 |
gwlarson |
3.4 |
VSUB(db[w],b[j],b[3]); |
700 |
gwlarson |
3.6 |
/* Check if the point is out side of the triangle: if so t[w] =HUGET */ |
701 |
|
|
if((fabs(b[j][0])>(FTINY+1.0)) ||(fabs(b[j][1])>(FTINY+1.0)) || |
702 |
gwlarson |
3.7 |
(fabs(b[j][2])>(FTINY+1.0))||(b[j][0] <-FTINY) || |
703 |
|
|
(b[j][1]<-FTINY) ||(b[j][2]<-FTINY)) |
704 |
|
|
t[w] = HUGET; |
705 |
gwlarson |
3.6 |
else |
706 |
gwlarson |
3.4 |
{ |
707 |
gwlarson |
3.6 |
/* The next point is in the triangle- so db values will be in valid |
708 |
|
|
range and t[w]= MAXT |
709 |
|
|
*/ |
710 |
|
|
t[w] = MAXT; |
711 |
|
|
if(j != 0) |
712 |
gwlarson |
3.7 |
for(;j < 3;j++) |
713 |
|
|
{ |
714 |
|
|
i = (j+1)%3; |
715 |
|
|
if(!first || i != 0) |
716 |
|
|
{ |
717 |
|
|
intersect_vector_plane(tri[i],peq,&(et[i]),v[i]); |
718 |
|
|
bary2d(q0[x],q0[y],q1[x],q1[y],q2[x],q2[y],v[i][x], |
719 |
|
|
v[i][y],b[i]); |
720 |
|
|
} |
721 |
|
|
if(et[i] < 0.0) |
722 |
|
|
{ |
723 |
|
|
VSUB(db[j],b[j],b[i]); |
724 |
|
|
t[j] = HUGET; |
725 |
|
|
break; |
726 |
|
|
} |
727 |
|
|
else |
728 |
|
|
{ |
729 |
|
|
VSUB(db[j],b[i],b[j]); |
730 |
|
|
if((fabs(b[j][0])>(FTINY+1.0))||(fabs(b[j][1])>(FTINY+1.0)) || |
731 |
|
|
(fabs(b[j][2])>(FTINY+1.0))||(b[i][0] <-FTINY) || |
732 |
|
|
(b[i][1]<-FTINY) ||(b[i][2]<-FTINY)) |
733 |
|
|
{ |
734 |
|
|
t[j] = HUGET; |
735 |
|
|
break; |
736 |
|
|
} |
737 |
|
|
else |
738 |
|
|
t[j] = MAXT; |
739 |
|
|
} |
740 |
|
|
} |
741 |
gwlarson |
3.4 |
} |
742 |
gwlarson |
3.7 |
} |
743 |
|
|
bary_dtol(b[3],db,bi,dbi,t,w); |
744 |
|
|
|
745 |
gwlarson |
3.4 |
/* trace the ray starting with this node */ |
746 |
gwlarson |
3.7 |
qt = qtVisit_tri_edges(qt,bi,dbi[w][0],dbi[w][1],dbi[w][2], |
747 |
|
|
dbi,wptr,nextptr,t,0,0,func,f,argptr); |
748 |
|
|
if(!QT_FLAG_IS_DONE(*f)) |
749 |
|
|
{ |
750 |
|
|
b[3][0] = (double)bi[0]/(double)MAXBCOORD; |
751 |
|
|
b[3][1] = (double)bi[1]/(double)MAXBCOORD; |
752 |
|
|
b[3][2] = (double)bi[2]/(double)MAXBCOORD; |
753 |
|
|
i_pt[x] = b[3][0]*q0[x] + b[3][1]*q1[x] + b[3][2]*q2[x]; |
754 |
|
|
i_pt[y] = b[3][0]*q0[y] + b[3][1]*q1[y] + b[3][2]*q2[y]; |
755 |
|
|
i_pt[z] = (-FP_N(peq)[x]*i_pt[x] - FP_N(peq)[y]*i_pt[y]-FP_D(peq))/FP_N(peq)[z]; |
756 |
|
|
} |
757 |
|
|
return(qt); |
758 |
gwlarson |
3.4 |
|
759 |
|
|
} |
760 |
|
|
|
761 |
|
|
|
762 |
gwlarson |
3.7 |
QUADTREE |
763 |
|
|
qtRoot_trace_ray(qt,q0,q1,q2,peq,orig,dir,nextptr,func,f,argptr) |
764 |
|
|
QUADTREE qt; |
765 |
|
|
FVECT q0,q1,q2; |
766 |
|
|
FPEQ peq; |
767 |
|
|
FVECT orig,dir; |
768 |
|
|
int *nextptr; |
769 |
|
|
int (*func)(); |
770 |
|
|
int *f,*argptr; |
771 |
|
|
{ |
772 |
|
|
int x,y,z,nbr,w,i; |
773 |
|
|
QUADTREE child; |
774 |
|
|
FVECT v,i_pt; |
775 |
|
|
double b[2][3],db[3],et[2],d,br[3]; |
776 |
|
|
BCOORD bi[3]; |
777 |
|
|
TINT t[3]; |
778 |
|
|
BDIR dbi[3][3]; |
779 |
|
|
|
780 |
|
|
/* Project the origin onto the root node plane */ |
781 |
|
|
t[0] = t[1] = t[2] = 0; |
782 |
gwlarson |
3.4 |
|
783 |
gwlarson |
3.7 |
VADD(v,orig,dir); |
784 |
|
|
/* Find the intersection point of the origin */ |
785 |
|
|
/* map to 2d by dropping maximum magnitude component of normal */ |
786 |
|
|
x = FP_X(peq); |
787 |
|
|
y = FP_Y(peq); |
788 |
|
|
z = FP_Z(peq); |
789 |
|
|
|
790 |
|
|
/* Calculate barycentric coordinates for current vertex */ |
791 |
|
|
intersect_vector_plane(orig,peq,&(et[0]),i_pt); |
792 |
|
|
bary2d(q0[x],q0[y],q1[x],q1[y],q2[x],q2[y],i_pt[x],i_pt[y],b[0]); |
793 |
|
|
|
794 |
|
|
intersect_vector_plane(v,peq,&(et[1]),i_pt); |
795 |
|
|
bary2d(q0[x],q0[y],q1[x],q1[y],q2[x],q2[y],i_pt[x],i_pt[y],b[1]); |
796 |
|
|
if(et[1] < 0.0) |
797 |
|
|
VSUB(db,b[0],b[1]); |
798 |
|
|
else |
799 |
|
|
VSUB(db,b[1],b[0]); |
800 |
|
|
t[0] = HUGET; |
801 |
|
|
convert_dtol(b[0],bi); |
802 |
|
|
if(et[1]<0.0 || (fabs(b[1][0])>(FTINY+1.0)) ||(fabs(b[1][1])>(FTINY+1.0)) || |
803 |
|
|
(fabs(b[1][2])>(FTINY+1.0))||(b[1][0] <-FTINY) || |
804 |
|
|
(b[1][1]<-FTINY) ||(b[1][2]<-FTINY)) |
805 |
|
|
{ |
806 |
|
|
max_index(db,&d); |
807 |
|
|
for(i=0; i< 3; i++) |
808 |
|
|
dbi[0][i] = (BDIR)(db[i]/d*MAXBDIR); |
809 |
|
|
} |
810 |
|
|
else |
811 |
|
|
for(i=0; i< 3; i++) |
812 |
|
|
dbi[0][i] = (BDIR)(db[i]*MAXBDIR); |
813 |
|
|
w=0; |
814 |
|
|
/* trace the ray starting with this node */ |
815 |
|
|
qt = qtVisit_tri_edges(qt,bi,dbi[0][0],dbi[0][1],dbi[0][2], dbi,&w, |
816 |
|
|
nextptr,t,0,0,func,f,argptr); |
817 |
|
|
if(!QT_FLAG_IS_DONE(*f)) |
818 |
|
|
{ |
819 |
|
|
br[0] = (double)bi[0]/(double)MAXBCOORD; |
820 |
|
|
br[1] = (double)bi[1]/(double)MAXBCOORD; |
821 |
|
|
br[2] = (double)bi[2]/(double)MAXBCOORD; |
822 |
|
|
orig[x] = br[0]*q0[x] + br[1]*q1[x] + br[2]*q2[x]; |
823 |
|
|
orig[y] = br[0]*q0[y] + br[1]*q1[y] + br[2]*q2[y]; |
824 |
|
|
orig[z]=(-FP_N(peq)[x]*orig[x] - |
825 |
|
|
FP_N(peq)[y]*orig[y]-FP_D(peq))/FP_N(peq)[z]; |
826 |
|
|
} |
827 |
|
|
return(qt); |
828 |
|
|
|
829 |
|
|
} |
830 |
gwlarson |
3.4 |
|
831 |
gwlarson |
3.3 |
|
832 |
gwlarson |
3.2 |
|
833 |
|
|
|
834 |
|
|
|
835 |
|
|
|
836 |
|
|
|
837 |
|
|
|
838 |
|
|
|
839 |
|
|
|
840 |
|
|
|
841 |
|
|
|
842 |
|
|
|