| 1 |
#ifndef lint |
| 2 |
static const char RCSid[] = "$Id$"; |
| 3 |
#endif |
| 4 |
/* |
| 5 |
* sm_del.c |
| 6 |
*/ |
| 7 |
#include "standard.h" |
| 8 |
#include "sm_flag.h" |
| 9 |
#include "sm_list.h" |
| 10 |
#include "sm_geom.h" |
| 11 |
#include "sm.h" |
| 12 |
|
| 13 |
#define MAX_EDGE_INIT 100 |
| 14 |
static int Max_edges= MAX_EDGE_INIT; |
| 15 |
static EDGE *Edges=NULL; |
| 16 |
static int Ecnt=0; |
| 17 |
|
| 18 |
smFree_tri(sm,id,t) |
| 19 |
SM *sm; |
| 20 |
int id; |
| 21 |
TRI *t; |
| 22 |
{ |
| 23 |
/* Add to the free_list */ |
| 24 |
T_NEXT_FREE(t) = SM_FREE_TRIS(sm); |
| 25 |
SM_FREE_TRIS(sm) = id; |
| 26 |
#ifdef DEBUG |
| 27 |
T_VALID_FLAG(t) = INVALID; |
| 28 |
#endif |
| 29 |
} |
| 30 |
|
| 31 |
/* Assumes mesh pointers have been cleaned up appropriately: just deletes from |
| 32 |
Point location and triangle data structure |
| 33 |
*/ |
| 34 |
smDelete_tri(sm,t_id,t) |
| 35 |
SM *sm; |
| 36 |
int t_id; |
| 37 |
TRI *t; |
| 38 |
{ |
| 39 |
|
| 40 |
/* NOTE: Assumes that a new triangle adjacent to each vertex |
| 41 |
has been added- before the deletion: replacing |
| 42 |
the old tri- and therefore dont need to dereference any pointers |
| 43 |
to id because the vertices can no longer |
| 44 |
point to tri id as being the first triangle pointer |
| 45 |
*/ |
| 46 |
SM_CLR_NTH_T_ACTIVE(sm,t_id); |
| 47 |
smFree_tri(sm,t_id,t); |
| 48 |
|
| 49 |
} |
| 50 |
|
| 51 |
int |
| 52 |
eNew_edge() |
| 53 |
{ |
| 54 |
if(!Edges) |
| 55 |
if(!(Edges = (EDGE *)realloc(NULL,(Max_edges+1)*sizeof(EDGE)))) |
| 56 |
goto memerr; |
| 57 |
|
| 58 |
if(Ecnt >= Max_edges) |
| 59 |
{ |
| 60 |
#ifdef DEBUG |
| 61 |
if(Max_edges > 10000) |
| 62 |
error(CONSISTENCY,"Too many edges in vertex loop\n"); |
| 63 |
#endif |
| 64 |
Max_edges += 100; |
| 65 |
if(!(Edges = (EDGE *)realloc((void *)Edges,(Max_edges+1)*sizeof(EDGE)))) |
| 66 |
goto memerr; |
| 67 |
} |
| 68 |
#ifdef DEBUG |
| 69 |
SET_E_NTH_TRI(Ecnt+1,0,INVALID); |
| 70 |
SET_E_NTH_TRI(Ecnt+1,1,INVALID); |
| 71 |
#endif |
| 72 |
return(++Ecnt); |
| 73 |
|
| 74 |
memerr: |
| 75 |
error(SYSTEM,"eNew_edge): Unable to allocate memory"); |
| 76 |
} |
| 77 |
|
| 78 |
/* Return list of edges defining polygon formed by boundary of triangles |
| 79 |
adjacent to id. Return set of triangles adjacent to id to delete in delptr |
| 80 |
*/ |
| 81 |
LIST |
| 82 |
*smVertexStar(sm,id) |
| 83 |
SM *sm; |
| 84 |
S_ID id; |
| 85 |
{ |
| 86 |
TRI *tri,*t_next; |
| 87 |
LIST *elist,*end; |
| 88 |
int e,t_id,t_next_id,b_id,v_id,t_last_id; |
| 89 |
S_ID v_next; |
| 90 |
|
| 91 |
elist = end = NULL; |
| 92 |
|
| 93 |
/* Get the first triangle adjacent to vertex id */ |
| 94 |
t_id = SM_NTH_VERT(sm,id); |
| 95 |
tri = SM_NTH_TRI(sm,t_id); |
| 96 |
|
| 97 |
e = eNew_edge(); |
| 98 |
/* Get the next vertex on the polygon boundary */ |
| 99 |
v_id = T_WHICH_V(tri,id); |
| 100 |
b_id = (v_id + 1)%3; |
| 101 |
/* Create an edge */ |
| 102 |
SET_E_NTH_VERT(e,0,T_NTH_V(tri,b_id)); |
| 103 |
SET_E_NTH_TRI(e,0,INVALID); |
| 104 |
SET_E_NTH_TRI(e,1,T_NTH_NBR(tri,v_id)); |
| 105 |
v_next = T_NTH_V(tri,(b_id+1)%3); |
| 106 |
SET_E_NTH_VERT(e,1,v_next); |
| 107 |
|
| 108 |
elist = add_data_to_circular_list(elist,&end,e); |
| 109 |
t_next_id = t_id; |
| 110 |
t_next = tri; |
| 111 |
t_last_id = -1; |
| 112 |
|
| 113 |
/* Create a set to hold all of the triangles for deletion later */ |
| 114 |
|
| 115 |
while((t_next_id = T_NTH_NBR(t_next,b_id)) != t_id) |
| 116 |
{ |
| 117 |
e = eNew_edge(); |
| 118 |
if(t_last_id != -1) |
| 119 |
{ |
| 120 |
smDelete_tri(sm,t_last_id,t_next); |
| 121 |
} |
| 122 |
t_next = SM_NTH_TRI(sm,t_next_id); |
| 123 |
t_last_id = t_next_id; |
| 124 |
SET_E_NTH_VERT(e,0,v_next); |
| 125 |
SET_E_NTH_TRI(e,0,INVALID); |
| 126 |
v_id = T_WHICH_V(t_next,id); |
| 127 |
b_id = (v_id + 1)%3; |
| 128 |
SET_E_NTH_TRI(e,1,T_NTH_NBR(t_next,v_id)); |
| 129 |
v_next = T_NTH_V(t_next,(b_id+1)%3); |
| 130 |
SET_E_NTH_VERT(e,1,v_next); |
| 131 |
elist = add_data_to_circular_list(elist,&end,e); |
| 132 |
|
| 133 |
} |
| 134 |
smDelete_tri(sm,t_last_id,t_next); |
| 135 |
smDelete_tri(sm,t_id,tri); |
| 136 |
return(elist); |
| 137 |
} |
| 138 |
|
| 139 |
int |
| 140 |
smTriangulate_add_tri(sm,id0,id1,id2,e0,e1,e2ptr) |
| 141 |
SM *sm; |
| 142 |
S_ID id0,id1,id2; |
| 143 |
int e0,e1,*e2ptr; |
| 144 |
{ |
| 145 |
int t_id,e2; |
| 146 |
TRI *t; |
| 147 |
|
| 148 |
t_id = smAdd_tri(sm,id0,id1,id2,&t); |
| 149 |
if(*e2ptr == 0) |
| 150 |
{ |
| 151 |
e2 = eNew_edge(); |
| 152 |
SET_E_NTH_VERT(e2,0,id2); |
| 153 |
SET_E_NTH_VERT(e2,1,id0); |
| 154 |
} |
| 155 |
else |
| 156 |
e2 = *e2ptr; |
| 157 |
/* set appropriate tri for each edge*/ |
| 158 |
SET_E_NTH_TRI(e0,0,t_id); |
| 159 |
SET_E_NTH_TRI(e1,0,t_id); |
| 160 |
SET_E_NTH_TRI(e2,0,t_id); |
| 161 |
#ifdef DEBUG |
| 162 |
#if DEBUG > 1 |
| 163 |
if(E_NTH_TRI(e0,1) == E_NTH_TRI(e0,0) || |
| 164 |
E_NTH_TRI(e1,1) == E_NTH_TRI(e1,0) || |
| 165 |
E_NTH_TRI(e2,1) == E_NTH_TRI(e2,0)) |
| 166 |
error(CONSISTENCY,"Non manifold\n"); |
| 167 |
#endif |
| 168 |
#endif |
| 169 |
*e2ptr = e2; |
| 170 |
return(t_id); |
| 171 |
|
| 172 |
} |
| 173 |
|
| 174 |
int |
| 175 |
smTriangulate_quad(sm,l) |
| 176 |
SM *sm; |
| 177 |
LIST *l; |
| 178 |
{ |
| 179 |
int e1,e2,e3,e4,e,t_id; |
| 180 |
S_ID id0,id1,id2,id3; |
| 181 |
FVECT v0,v1,v2,v3,n; |
| 182 |
double dp; |
| 183 |
TRI *tri; |
| 184 |
LIST *lptr; |
| 185 |
|
| 186 |
#ifdef DEBUG |
| 187 |
if(LIST_NEXT(LIST_NEXT(LIST_NEXT(LIST_NEXT(l)))) != l) |
| 188 |
{ |
| 189 |
eputs("smTriangulate_quad(): not a quadrilateral\n"); |
| 190 |
return(FALSE); |
| 191 |
} |
| 192 |
eputs("smTriangulate_quad():\n"); |
| 193 |
#endif |
| 194 |
lptr=l; |
| 195 |
e1 = (int)LIST_DATA(l); |
| 196 |
id0 = E_NTH_VERT(e1,0); |
| 197 |
id1 = E_NTH_VERT(e1,1); |
| 198 |
VSUB(v0,SM_NTH_WV(sm,id0),SM_VIEW_CENTER(sm)); |
| 199 |
VSUB(v1,SM_NTH_WV(sm,id1),SM_VIEW_CENTER(sm)); |
| 200 |
/* Get v2 */ |
| 201 |
l = LIST_NEXT(l); |
| 202 |
e2 = (int)LIST_DATA(l); |
| 203 |
id2 = E_NTH_VERT(e2,1); |
| 204 |
VSUB(v2,SM_NTH_WV(sm,id2),SM_VIEW_CENTER(sm)); |
| 205 |
/* Get v3 */ |
| 206 |
l = LIST_NEXT(l); |
| 207 |
e3 = (int)LIST_DATA(l); |
| 208 |
id3 = E_NTH_VERT(e3,1); |
| 209 |
VSUB(v3,SM_NTH_WV(sm,id3),SM_VIEW_CENTER(sm)); |
| 210 |
l = LIST_NEXT(l); |
| 211 |
e4 = (int)LIST_DATA(l); |
| 212 |
free_list(lptr); |
| 213 |
|
| 214 |
VCROSS(n,v0,v2); |
| 215 |
normalize(n); |
| 216 |
normalize(v1); |
| 217 |
dp = DOT(n,v1); |
| 218 |
e = 0; |
| 219 |
if(dp > 0) |
| 220 |
{ |
| 221 |
if(dp >= EV_EPS) |
| 222 |
{ |
| 223 |
normalize(v3); |
| 224 |
if(DOT(n,v3) < 0) |
| 225 |
{ |
| 226 |
t_id = smTriangulate_add_tri(sm,id0,id1,id2,e1,e2,&e); |
| 227 |
e *= -1; |
| 228 |
t_id = smTriangulate_add_tri(sm,id2,id3,id0,e3,e4,&e); |
| 229 |
return(TRUE); |
| 230 |
} |
| 231 |
} |
| 232 |
|
| 233 |
} |
| 234 |
#ifdef DEBUG |
| 235 |
#if DEBUG > 1 |
| 236 |
VCROSS(n,v1,v3); |
| 237 |
normalize(n); |
| 238 |
normalize(v0); |
| 239 |
normalize(v2); |
| 240 |
dp = DOT(n,v2); |
| 241 |
if((dp < 0) || (dp < EV_EPS) || (DOT(n,v0) >= 0.0)) |
| 242 |
error(CONSISTENCY,"smTriangulate_quad: cannot triangulate\n"); |
| 243 |
#endif |
| 244 |
#endif |
| 245 |
t_id = smTriangulate_add_tri(sm,id1,id2,id3,e2,e3,&e); |
| 246 |
e *= -1; |
| 247 |
t_id = smTriangulate_add_tri(sm,id3,id0,id1,e4,e1,&e); |
| 248 |
return(TRUE); |
| 249 |
} |
| 250 |
|
| 251 |
eIn_tri(e,t) |
| 252 |
int e; |
| 253 |
TRI *t; |
| 254 |
{ |
| 255 |
|
| 256 |
if(T_NTH_V(t,0)==E_NTH_VERT(e,0)) |
| 257 |
return(T_NTH_V(t,1)==E_NTH_VERT(e,1)||T_NTH_V(t,2)==E_NTH_VERT(e,1)); |
| 258 |
else |
| 259 |
if(T_NTH_V(t,1)==E_NTH_VERT(e,0)) |
| 260 |
return(T_NTH_V(t,0)==E_NTH_VERT(e,1)||T_NTH_V(t,2)==E_NTH_VERT(e,1)); |
| 261 |
else if(T_NTH_V(t,2)==E_NTH_VERT(e,0)) |
| 262 |
return(T_NTH_V(t,0)==E_NTH_VERT(e,1)||T_NTH_V(t,1)==E_NTH_VERT(e,1)); |
| 263 |
|
| 264 |
return(FALSE); |
| 265 |
} |
| 266 |
|
| 267 |
|
| 268 |
/* Triangulate the polygon defined by plist, and generating vertex p_id. |
| 269 |
Return list of added triangles in list add_ptr. Returns TRUE if |
| 270 |
successful, FALSE otherwise. This is NOT a general triangulation routine, |
| 271 |
assumes polygon star relative to id |
| 272 |
*/ |
| 273 |
|
| 274 |
int |
| 275 |
smTriangulate(sm,id,plist) |
| 276 |
SM *sm; |
| 277 |
S_ID id; |
| 278 |
LIST *plist; |
| 279 |
{ |
| 280 |
LIST *l,*prev,*t; |
| 281 |
FVECT v0,v1,v2,n,p; |
| 282 |
int is_tri,cut,t_id,e2,e1,enew; |
| 283 |
S_ID id0,id1,id2; |
| 284 |
double dp1,dp2; |
| 285 |
|
| 286 |
VSUB(p,SM_NTH_WV(sm,id),SM_VIEW_CENTER(sm)); |
| 287 |
normalize(p); |
| 288 |
l = plist; |
| 289 |
|
| 290 |
enew = 0; |
| 291 |
cut = is_tri= FALSE; |
| 292 |
prev = l; |
| 293 |
/* get v0,v1 */ |
| 294 |
e1 = (int)LIST_DATA(l); |
| 295 |
id0 = E_NTH_VERT(e1,0); |
| 296 |
id1 = E_NTH_VERT(e1,1); |
| 297 |
VSUB(v0,SM_NTH_WV(sm,id0),SM_VIEW_CENTER(sm)); |
| 298 |
normalize(v0); |
| 299 |
VSUB(v1,SM_NTH_WV(sm,id1),SM_VIEW_CENTER(sm)); |
| 300 |
normalize(v1); |
| 301 |
while(l) |
| 302 |
{ |
| 303 |
l = LIST_NEXT(l); |
| 304 |
/* Get v2 */ |
| 305 |
e2 = (int)LIST_DATA(l); |
| 306 |
id2 = E_NTH_VERT(e2,1); |
| 307 |
VSUB(v2,SM_NTH_WV(sm,id2),SM_VIEW_CENTER(sm)); |
| 308 |
normalize(v2); |
| 309 |
if(LIST_NEXT(LIST_NEXT(l)) == prev) |
| 310 |
{/* Check if have a triangle */ |
| 311 |
is_tri = TRUE; |
| 312 |
break; |
| 313 |
} |
| 314 |
/* determine if v0-v1-v2 is convex:defined clockwise on the sphere- |
| 315 |
so switch orientation |
| 316 |
*/ |
| 317 |
VCROSS(n,v0,v2); |
| 318 |
normalize(n); |
| 319 |
dp1 = DOT(n,p); |
| 320 |
if(dp1 <= 0.0) |
| 321 |
{ |
| 322 |
/* test if safe to cut off v0-v1-v2 by testing if p lies outside of |
| 323 |
triangle v0-v1-v2: if so, because plist is the star polygon around p, |
| 324 |
the new edge v2-v0 cannot intersect any existing edges |
| 325 |
*/ |
| 326 |
dp1 = DOT(n,v1); |
| 327 |
/* Distance from point s to plane is d = |N.p0s|/||N|| */ |
| 328 |
/* sp1 = s-p0 for point on plane p0, a.(b+c) = a.b + a.c */ |
| 329 |
if(dp1 >= EV_EPS) |
| 330 |
{ |
| 331 |
/* remove edges e1,e2 and add triangle id0,id1,id2 */ |
| 332 |
enew = 0; |
| 333 |
t_id = smTriangulate_add_tri(sm,id0,id1,id2,e1,e2,&enew); |
| 334 |
cut = TRUE; |
| 335 |
/* Insert edge enew into the list, reuse prev list element */ |
| 336 |
LIST_NEXT(prev) = LIST_NEXT(l); |
| 337 |
LIST_DATA(prev) = e1 = -enew; |
| 338 |
/* If removing head of list- reset plist pointer */ |
| 339 |
if(l== plist) |
| 340 |
plist = prev; |
| 341 |
/* free list element for e2 */ |
| 342 |
LIST_NEXT(l)=NULL; |
| 343 |
free_list(l); |
| 344 |
l = prev; |
| 345 |
VCOPY(v1,v2); |
| 346 |
id1 = id2; |
| 347 |
continue; |
| 348 |
} |
| 349 |
} |
| 350 |
VCOPY(v0,v1); |
| 351 |
VCOPY(v1,v2); |
| 352 |
id0 = id1; |
| 353 |
id1 = id2; |
| 354 |
e1 = e2; |
| 355 |
/* check if gone around circular list without adding any |
| 356 |
triangles: prevent infinite loop */ |
| 357 |
if(l == plist) |
| 358 |
{ |
| 359 |
if(LIST_NEXT(LIST_NEXT(l)) == prev) |
| 360 |
{/* Check if have a triangle */ |
| 361 |
is_tri = TRUE; |
| 362 |
break; |
| 363 |
} |
| 364 |
if(!cut) |
| 365 |
break; |
| 366 |
cut = FALSE; |
| 367 |
} |
| 368 |
prev = l; |
| 369 |
} |
| 370 |
if(is_tri) |
| 371 |
{ |
| 372 |
l = LIST_NEXT(l); |
| 373 |
enew = (int)LIST_DATA(l); |
| 374 |
t_id = smTriangulate_add_tri(sm,id0,id1,id2,e1,e2,&enew); |
| 375 |
free_list(l); |
| 376 |
} |
| 377 |
else |
| 378 |
if(!smTriangulate_quad(sm,l)) |
| 379 |
goto Terror; |
| 380 |
/* Set triangle adjacencies based on edge adjacencies */ |
| 381 |
FOR_ALL_EDGES(enew) |
| 382 |
{ |
| 383 |
id0 = E_NTH_TRI(enew,0); |
| 384 |
id1 = E_NTH_TRI(enew,1); |
| 385 |
|
| 386 |
e1 = (T_WHICH_V(SM_NTH_TRI(sm,id0),E_NTH_VERT(enew,0))+2)%3; |
| 387 |
T_NTH_NBR(SM_NTH_TRI(sm,id0),e1) = id1; |
| 388 |
|
| 389 |
e2 = (T_WHICH_V(SM_NTH_TRI(sm,id1),E_NTH_VERT(enew,1))+2)%3; |
| 390 |
T_NTH_NBR(SM_NTH_TRI(sm,id1),e2) = id0; |
| 391 |
} |
| 392 |
|
| 393 |
#ifdef DEBUG |
| 394 |
#if DEBUG > 1 |
| 395 |
{ |
| 396 |
TRI *t0,*t1,*n; |
| 397 |
|
| 398 |
FOR_ALL_EDGES(enew) |
| 399 |
{ |
| 400 |
id0 = E_NTH_TRI(enew,0); |
| 401 |
id1 = E_NTH_TRI(enew,1); |
| 402 |
t0 = SM_NTH_TRI(sm,id0); |
| 403 |
t1 = SM_NTH_TRI(sm,id1); |
| 404 |
if(T_NTH_NBR(t0,0) == T_NTH_NBR(t0,1) || |
| 405 |
T_NTH_NBR(t0,1) == T_NTH_NBR(t0,2) || |
| 406 |
T_NTH_NBR(t0,0) == T_NTH_NBR(t0,2)) |
| 407 |
error(CONSISTENCY,"Invalid topology\n"); |
| 408 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(t0,0))) || |
| 409 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(t0,1))) || |
| 410 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(t0,2)))) |
| 411 |
error(CONSISTENCY,"Invalid topology\n"); |
| 412 |
n = SM_NTH_TRI(sm,T_NTH_NBR(t0,0)); |
| 413 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 414 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 415 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 416 |
error(CONSISTENCY,"Invalid topology\n"); |
| 417 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 418 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 419 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 420 |
error(CONSISTENCY,"Invalid topology\n"); |
| 421 |
n = SM_NTH_TRI(sm,T_NTH_NBR(t0,1)); |
| 422 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 423 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 424 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 425 |
error(CONSISTENCY,"Invalid topology\n"); |
| 426 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 427 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 428 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 429 |
error(CONSISTENCY,"Invalid topology\n"); |
| 430 |
n = SM_NTH_TRI(sm,T_NTH_NBR(t0,2)); |
| 431 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 432 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 433 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 434 |
error(CONSISTENCY,"Invalid topology\n"); |
| 435 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 436 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 437 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 438 |
error(CONSISTENCY,"Invalid topology\n"); |
| 439 |
|
| 440 |
if(T_NTH_NBR(t1,0) == T_NTH_NBR(t1,1) || |
| 441 |
T_NTH_NBR(t1,1) == T_NTH_NBR(t1,2) || |
| 442 |
T_NTH_NBR(t1,0) == T_NTH_NBR(t1,2)) |
| 443 |
error(CONSISTENCY,"Invalid topology\n"); |
| 444 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(t1,0))) || |
| 445 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(t1,1))) || |
| 446 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(t1,2)))) |
| 447 |
error(CONSISTENCY,"Invalid topology\n"); |
| 448 |
n = SM_NTH_TRI(sm,T_NTH_NBR(t1,0)); |
| 449 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 450 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 451 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 452 |
error(CONSISTENCY,"Invalid topology\n"); |
| 453 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 454 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 455 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 456 |
error(CONSISTENCY,"Invalid topology\n"); |
| 457 |
n = SM_NTH_TRI(sm,T_NTH_NBR(t1,1)); |
| 458 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 459 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 460 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 461 |
error(CONSISTENCY,"Invalid topology\n"); |
| 462 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 463 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 464 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 465 |
error(CONSISTENCY,"Invalid topology\n"); |
| 466 |
n = SM_NTH_TRI(sm,T_NTH_NBR(t1,2)); |
| 467 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 468 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 469 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 470 |
error(CONSISTENCY,"Invalid topology\n"); |
| 471 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 472 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 473 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 474 |
error(CONSISTENCY,"Invalid topology\n"); |
| 475 |
} |
| 476 |
|
| 477 |
} |
| 478 |
#endif |
| 479 |
#endif |
| 480 |
|
| 481 |
return(TRUE); |
| 482 |
|
| 483 |
Terror: |
| 484 |
|
| 485 |
error(CONSISTENCY,"smTriangulate():Unable to triangulate\n"); |
| 486 |
|
| 487 |
} |
| 488 |
|
| 489 |
|
| 490 |
void |
| 491 |
smTris_swap_edge(sm,t_id,t1_id,e,e1,tn_id,tn1_id) |
| 492 |
SM *sm; |
| 493 |
int t_id,t1_id; |
| 494 |
int e,e1; |
| 495 |
int *tn_id,*tn1_id; |
| 496 |
{ |
| 497 |
S_ID verts[3]; |
| 498 |
int enext,eprev,e1next,e1prev; |
| 499 |
TRI *n,*ta,*tb,*t,*t1; |
| 500 |
FVECT p1,p2,p3; |
| 501 |
int ta_id,tb_id; |
| 502 |
/* form new diagonal (e relative to t, and e1 relative to t1) |
| 503 |
defined by quadrilateral formed by t,t1- swap for the opposite diagonal |
| 504 |
*/ |
| 505 |
t = SM_NTH_TRI(sm,t_id); |
| 506 |
t1 = SM_NTH_TRI(sm,t1_id); |
| 507 |
enext = (e+1)%3; |
| 508 |
eprev = (e+2)%3; |
| 509 |
e1next = (e1+1)%3; |
| 510 |
e1prev = (e1+2)%3; |
| 511 |
verts[e] = T_NTH_V(t,e); |
| 512 |
verts[enext] = T_NTH_V(t,enext); |
| 513 |
verts[eprev] = T_NTH_V(t1,e1); |
| 514 |
ta_id = smAdd_tri(sm,verts[0],verts[1],verts[2],&ta); |
| 515 |
#if 0 |
| 516 |
fprintf(stderr,"Added tri %d %d %d %d\n",ta_id,T_NTH_V(ta,0), |
| 517 |
T_NTH_V(ta,1), T_NTH_V(ta,2)); |
| 518 |
#endif |
| 519 |
verts[e1] = T_NTH_V(t1,e1); |
| 520 |
verts[e1next] = T_NTH_V(t1,e1next); |
| 521 |
verts[e1prev] = T_NTH_V(t,e); |
| 522 |
tb_id = smAdd_tri(sm,verts[0],verts[1],verts[2],&tb); |
| 523 |
#if 0 |
| 524 |
fprintf(stderr,"Added tri %d %d %d %d\n",tb_id,T_NTH_V(tb,0), |
| 525 |
T_NTH_V(tb,1), T_NTH_V(tb,2)); |
| 526 |
#endif |
| 527 |
/* set the neighbors */ |
| 528 |
T_NTH_NBR(ta,e) = T_NTH_NBR(t1,e1next); |
| 529 |
T_NTH_NBR(tb,e1) = T_NTH_NBR(t,enext); |
| 530 |
T_NTH_NBR(ta,enext)= tb_id; |
| 531 |
T_NTH_NBR(tb,e1next)= ta_id; |
| 532 |
T_NTH_NBR(ta,eprev)=T_NTH_NBR(t,eprev); |
| 533 |
T_NTH_NBR(tb,e1prev)=T_NTH_NBR(t1,e1prev); |
| 534 |
|
| 535 |
/* Reset neighbor pointers of original neighbors */ |
| 536 |
n = SM_NTH_TRI(sm,T_NTH_NBR(t,enext)); |
| 537 |
T_NTH_NBR(n,T_NTH_NBR_PTR(t_id,n)) = tb_id; |
| 538 |
n = SM_NTH_TRI(sm,T_NTH_NBR(t,eprev)); |
| 539 |
T_NTH_NBR(n,T_NTH_NBR_PTR(t_id,n)) = ta_id; |
| 540 |
n = SM_NTH_TRI(sm,T_NTH_NBR(t1,e1next)); |
| 541 |
T_NTH_NBR(n,T_NTH_NBR_PTR(t1_id,n)) = ta_id; |
| 542 |
n = SM_NTH_TRI(sm,T_NTH_NBR(t1,e1prev)); |
| 543 |
T_NTH_NBR(n,T_NTH_NBR_PTR(t1_id,n)) = tb_id; |
| 544 |
|
| 545 |
smDelete_tri(sm,t_id,t); |
| 546 |
smDelete_tri(sm,t1_id,t1); |
| 547 |
|
| 548 |
#ifdef DEBUG |
| 549 |
#if DEBUG > 1 |
| 550 |
if(T_NTH_NBR(ta,0) == T_NTH_NBR(ta,1) || |
| 551 |
T_NTH_NBR(ta,1) == T_NTH_NBR(ta,2) || |
| 552 |
T_NTH_NBR(ta,0) == T_NTH_NBR(ta,2)) |
| 553 |
error(CONSISTENCY,"Invalid topology\n"); |
| 554 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(ta,0))) || |
| 555 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(ta,1))) || |
| 556 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(ta,2)))) |
| 557 |
error(CONSISTENCY,"Invalid topology\n"); |
| 558 |
n = SM_NTH_TRI(sm,T_NTH_NBR(ta,0)); |
| 559 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 560 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 561 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 562 |
error(CONSISTENCY,"Invalid topology\n"); |
| 563 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 564 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 565 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 566 |
error(CONSISTENCY,"Invalid topology\n"); |
| 567 |
n = SM_NTH_TRI(sm,T_NTH_NBR(ta,1)); |
| 568 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 569 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 570 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 571 |
error(CONSISTENCY,"Invalid topology\n"); |
| 572 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 573 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 574 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 575 |
error(CONSISTENCY,"Invalid topology\n"); |
| 576 |
n = SM_NTH_TRI(sm,T_NTH_NBR(ta,2)); |
| 577 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 578 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 579 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 580 |
error(CONSISTENCY,"Invalid topology\n"); |
| 581 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 582 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 583 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 584 |
error(CONSISTENCY,"Invalid topology\n"); |
| 585 |
if(T_NTH_NBR(ta,0) == T_NTH_NBR(ta,1) || |
| 586 |
T_NTH_NBR(ta,1) == T_NTH_NBR(ta,2) || |
| 587 |
T_NTH_NBR(ta,0) == T_NTH_NBR(ta,2)) |
| 588 |
error(CONSISTENCY,"Invalid topology\n"); |
| 589 |
|
| 590 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(tb,0))) || |
| 591 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(tb,1))) || |
| 592 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(tb,2)))) |
| 593 |
error(CONSISTENCY,"Invalid topology\n"); |
| 594 |
n = SM_NTH_TRI(sm,T_NTH_NBR(tb,0)); |
| 595 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 596 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 597 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 598 |
error(CONSISTENCY,"Invalid topology\n"); |
| 599 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 600 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 601 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 602 |
error(CONSISTENCY,"Invalid topology\n"); |
| 603 |
n = SM_NTH_TRI(sm,T_NTH_NBR(tb,1)); |
| 604 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 605 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 606 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 607 |
error(CONSISTENCY,"Invalid topology\n"); |
| 608 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 609 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 610 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 611 |
error(CONSISTENCY,"Invalid topology\n"); |
| 612 |
n = SM_NTH_TRI(sm,T_NTH_NBR(tb,2)); |
| 613 |
if(T_NTH_NBR(n,0) == T_NTH_NBR(n,1) || |
| 614 |
T_NTH_NBR(n,1) == T_NTH_NBR(n,2) || |
| 615 |
T_NTH_NBR(n,0) == T_NTH_NBR(n,2)) |
| 616 |
error(CONSISTENCY,"Invalid topology\n"); |
| 617 |
if(!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,0))) || |
| 618 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,1))) || |
| 619 |
!T_IS_VALID(SM_NTH_TRI(sm,T_NTH_NBR(n,2)))) |
| 620 |
error(CONSISTENCY,"Invalid topology\n"); |
| 621 |
#endif |
| 622 |
#endif |
| 623 |
*tn_id = ta_id; |
| 624 |
*tn1_id = tb_id; |
| 625 |
|
| 626 |
return; |
| 627 |
} |
| 628 |
|
| 629 |
/* Test the new set of triangles for Delaunay condition. 'Edges' contains |
| 630 |
all of the new edges added. The CCW triangle assoc with each edge is |
| 631 |
tested against the opposite vertex of the CW triangle. If the vertex |
| 632 |
lies inside the circle defined by the CCW triangle- the edge is swapped |
| 633 |
for the opposite diagonal |
| 634 |
*/ |
| 635 |
smFixEdges(sm) |
| 636 |
SM *sm; |
| 637 |
{ |
| 638 |
int e,t0_id,t1_id,e_new,e0,e1,e0_next,e1_next; |
| 639 |
S_ID v0_id,v1_id,v2_id,p_id; |
| 640 |
int i,t0_nid,t1_nid; |
| 641 |
FVECT v0,v1,v2,p,np,v; |
| 642 |
TRI *t0,*t1; |
| 643 |
|
| 644 |
FOR_ALL_EDGES(e) |
| 645 |
{ |
| 646 |
t0_id = E_NTH_TRI(e,0); |
| 647 |
t1_id = E_NTH_TRI(e,1); |
| 648 |
#ifdef DEBUG |
| 649 |
if((t0_id==INVALID) || (t1_id==INVALID)) |
| 650 |
error(CONSISTENCY,"smFix_edges: Unassigned edge nbr\n"); |
| 651 |
#endif |
| 652 |
t0 = SM_NTH_TRI(sm,t0_id); |
| 653 |
t1 = SM_NTH_TRI(sm,t1_id); |
| 654 |
e0 = T_NTH_NBR_PTR(t1_id,t0); |
| 655 |
e1 = T_NTH_NBR_PTR(t0_id,t1); |
| 656 |
|
| 657 |
v0_id = E_NTH_VERT(e,0); |
| 658 |
v1_id = E_NTH_VERT(e,1); |
| 659 |
v2_id = T_NTH_V(t0,e0); |
| 660 |
p_id = T_NTH_V(t1,e1); |
| 661 |
|
| 662 |
smDir(sm,v0,v0_id); |
| 663 |
smDir(sm,v1,v1_id); |
| 664 |
smDir(sm,v2,v2_id); |
| 665 |
|
| 666 |
VSUB(p,SM_NTH_WV(sm,p_id),SM_VIEW_CENTER(sm)); |
| 667 |
normalize(p); |
| 668 |
if(pt_in_cone(p,v2,v1,v0)) |
| 669 |
{ |
| 670 |
smTris_swap_edge(sm,t0_id,t1_id,e0,e1,&t0_nid,&t1_nid); |
| 671 |
/* Adjust the triangle pointers of the remaining edges to be |
| 672 |
processed |
| 673 |
*/ |
| 674 |
FOR_ALL_EDGES_FROM(e,i) |
| 675 |
{ |
| 676 |
if(E_NTH_TRI(i,0)==t0_id || E_NTH_TRI(i,0)==t1_id) |
| 677 |
{ |
| 678 |
if(eIn_tri(i,SM_NTH_TRI(sm,t0_nid))) |
| 679 |
SET_E_NTH_TRI(i,0,t0_nid); |
| 680 |
else |
| 681 |
SET_E_NTH_TRI(i,0,t1_nid); |
| 682 |
} |
| 683 |
|
| 684 |
if(E_NTH_TRI(i,1)==t0_id || E_NTH_TRI(i,1)==t1_id) |
| 685 |
{ |
| 686 |
if(eIn_tri(i,SM_NTH_TRI(sm,t0_nid))) |
| 687 |
SET_E_NTH_TRI(i,1,t0_nid); |
| 688 |
else |
| 689 |
SET_E_NTH_TRI(i,1,t1_nid); |
| 690 |
} |
| 691 |
#ifdef DEBUG |
| 692 |
if(E_NTH_TRI(i,1) == E_NTH_TRI(i,0) ) |
| 693 |
error(CONSISTENCY,"invalid edge\n"); |
| 694 |
#endif |
| 695 |
} |
| 696 |
t0_id = t0_nid; |
| 697 |
t1_id = t1_nid; |
| 698 |
e_new = eNew_edge(); |
| 699 |
SET_E_NTH_VERT(e_new,0,p_id); |
| 700 |
SET_E_NTH_VERT(e_new,1,v2_id); |
| 701 |
SET_E_NTH_TRI(e_new,0,t0_id); |
| 702 |
SET_E_NTH_TRI(e_new,1,t1_id); |
| 703 |
#ifdef DEBUG |
| 704 |
if(E_NTH_TRI(i,1) == E_NTH_TRI(i,0) ) |
| 705 |
error(CONSISTENCY,"invalid edge\n"); |
| 706 |
#endif |
| 707 |
} |
| 708 |
} |
| 709 |
} |
| 710 |
|
| 711 |
|
| 712 |
smDelete_samp(sm,s_id) |
| 713 |
SM *sm; |
| 714 |
S_ID s_id; |
| 715 |
{ |
| 716 |
QUADTREE qt; |
| 717 |
S_ID *os; |
| 718 |
|
| 719 |
/* Mark as free */ |
| 720 |
smUnalloc_samp(sm,s_id); |
| 721 |
|
| 722 |
#ifdef DEBUG |
| 723 |
SM_NTH_VERT(sm,s_id) = INVALID; |
| 724 |
/* fprintf(stderr,"deleting sample %d\n",s_id); */ |
| 725 |
#endif |
| 726 |
/* remove from its set */ |
| 727 |
qt = SM_S_NTH_QT(sm,s_id); |
| 728 |
os = qtqueryset(qt); |
| 729 |
deletuelem(os, s_id); /* delete obj from unsorted os, no questions */ |
| 730 |
} |
| 731 |
/* Remove vertex "id" from the mesh- and retriangulate the resulting |
| 732 |
hole: Returns TRUE if successful, FALSE otherwise. |
| 733 |
*/ |
| 734 |
int |
| 735 |
smRemoveVertex(sm,id) |
| 736 |
SM *sm; |
| 737 |
S_ID id; |
| 738 |
{ |
| 739 |
LIST *b_list; |
| 740 |
/* generate list of edges that form the boundary of the |
| 741 |
polygon formed by the triangles adjacent to vertex 'id'*/ |
| 742 |
b_list = smVertexStar(sm,id); |
| 743 |
#if 0 |
| 744 |
{int i; |
| 745 |
eputs("\n\n"); |
| 746 |
for(i=1;i<=Ecnt;i++) |
| 747 |
fprintf(stderr,"%d verts %d %d tris %d %d\n", |
| 748 |
i,Edges[i].verts[0],Edges[i].verts[1], |
| 749 |
Edges[i].tris[0],Edges[i].tris[1]); |
| 750 |
} |
| 751 |
#endif |
| 752 |
|
| 753 |
/* Triangulate polygonal hole */ |
| 754 |
smTriangulate(sm,id,b_list); |
| 755 |
|
| 756 |
/* Fix up new triangles to be Delaunay*/ |
| 757 |
|
| 758 |
smFixEdges(sm); |
| 759 |
smDelete_samp(sm,id); |
| 760 |
eClear_edges(); |
| 761 |
return(TRUE); |
| 762 |
} |
| 763 |
|
| 764 |
|
| 765 |
|
| 766 |
|
| 767 |
|
| 768 |
|
| 769 |
|
| 770 |
|
| 771 |
|
| 772 |
|
| 773 |
|
| 774 |
|
| 775 |
|
| 776 |
|
| 777 |
|
