| 1 |
/* Copyright (c) 1998 Silicon Graphics, Inc. */ |
| 2 |
|
| 3 |
#ifndef lint |
| 4 |
static char SCCSid[] = "$SunId$ SGI"; |
| 5 |
#endif |
| 6 |
|
| 7 |
/* |
| 8 |
* sm_del.c |
| 9 |
*/ |
| 10 |
#include "standard.h" |
| 11 |
|
| 12 |
#include "sm_list.h" |
| 13 |
#include "sm_geom.h" |
| 14 |
#include "sm.h" |
| 15 |
|
| 16 |
static EDGE Edges[MAX_EDGES]; |
| 17 |
static int Ecnt=0; |
| 18 |
|
| 19 |
|
| 20 |
smLocator_remove_tri(sm,t_id) |
| 21 |
SM *sm; |
| 22 |
int t_id; |
| 23 |
{ |
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STREE *st; |
| 25 |
char found; |
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TRI *t; |
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FVECT p0,p1,p2; |
| 28 |
|
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st = SM_LOCATOR(sm); |
| 30 |
|
| 31 |
t = SM_NTH_TRI(sm,t_id); |
| 32 |
|
| 33 |
smDir(sm,p0,T_NTH_V(t,0)); |
| 34 |
smDir(sm,p1,T_NTH_V(t,1)); |
| 35 |
smDir(sm,p2,T_NTH_V(t,2)); |
| 36 |
|
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found = stRemove_tri(st,t_id,p0,p1,p2); |
| 38 |
|
| 39 |
return(found); |
| 40 |
} |
| 41 |
|
| 42 |
smFree_tri(sm,id) |
| 43 |
SM *sm; |
| 44 |
int id; |
| 45 |
{ |
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TRI *tri; |
| 47 |
|
| 48 |
tri = SM_NTH_TRI(sm,id); |
| 49 |
/* Add to the free_list */ |
| 50 |
T_NEXT_FREE(tri) = SM_FREE_TRIS(sm); |
| 51 |
SM_FREE_TRIS(sm) = id; |
| 52 |
T_VALID_FLAG(tri) = -1; |
| 53 |
} |
| 54 |
|
| 55 |
/* Assumes mesh pointers have been cleaned up appropriately: just deletes from |
| 56 |
Point location and triangle data structure |
| 57 |
*/ |
| 58 |
smDelete_tri(sm,t_id) |
| 59 |
SM *sm; |
| 60 |
int t_id; |
| 61 |
{ |
| 62 |
|
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|
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/* NOTE: Assumes that a new triangle adjacent to each vertex |
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has been added- before the deletion: replacing |
| 66 |
the old tri- and therefore dont need to dereference any pointers |
| 67 |
to id because the vertices can no longer |
| 68 |
point to tri id as being the first triangle pointer |
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*/ |
| 70 |
if(!SM_IS_NTH_T_BASE(sm,t_id)) |
| 71 |
{ |
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SM_NUM_TRIS(sm)--; |
| 73 |
if(SM_IS_NTH_T_NEW(sm,t_id)) |
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smNew_tri_cnt--; |
| 75 |
} |
| 76 |
smClear_tri_flags(sm,t_id); |
| 77 |
|
| 78 |
smFree_tri(sm,t_id); |
| 79 |
|
| 80 |
} |
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|
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|
| 83 |
|
| 84 |
LIST |
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*smVertex_star_polygon(sm,id) |
| 86 |
SM *sm; |
| 87 |
int id; |
| 88 |
{ |
| 89 |
TRI *tri,*t_next; |
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LIST *elist,*end,*tlist; |
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int t_id,v_next,t_next_id; |
| 92 |
int e; |
| 93 |
|
| 94 |
elist = end = NULL; |
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/* Get the first triangle adjacent to vertex id */ |
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t_id = SM_NTH_VERT(sm,id); |
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tri = SM_NTH_TRI(sm,t_id); |
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|
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|
| 100 |
if((e = eNew_edge()) == SM_INVALID) |
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{ |
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#ifdef DEBUG |
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eputs("smVertex_star_polygon():Too many edges\n"); |
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#endif |
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return(NULL); |
| 106 |
} |
| 107 |
elist = add_data_to_circular_list(elist,&end,e); |
| 108 |
v_next = (T_WHICH_V(tri,id)+1)%3; |
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SET_E_NTH_VERT(e,0,T_NTH_V(tri,v_next)); |
| 110 |
SET_E_NTH_TRI(e,0,SM_INVALID); |
| 111 |
SET_E_NTH_TRI(e,1,T_NTH_NBR(tri,v_next)); |
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v_next = (T_WHICH_V(tri,id)+2)%3; |
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SET_E_NTH_VERT(e,1,T_NTH_V(tri,v_next)); |
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|
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|
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t_next_id = t_id; |
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t_next = tri; |
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|
| 119 |
tlist = push_data(NULL,t_id); |
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|
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while((t_next_id = smTri_next_ccw_nbr(sm,t_next,id)) != t_id) |
| 122 |
{ |
| 123 |
if((e = eNew_edge()) == SM_INVALID) |
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{ |
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#ifdef DEBUG |
| 126 |
eputs("smVertex_star_polygon():Too many edges\n"); |
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#endif |
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return(NULL); |
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} |
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elist = add_data_to_circular_list(elist,&end,e); |
| 131 |
t_next = SM_NTH_TRI(sm,t_next_id); |
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v_next = (T_WHICH_V(t_next,id)+1)%3; |
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SET_E_NTH_VERT(e,0,T_NTH_V(t_next,v_next)); |
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SET_E_NTH_TRI(e,0,SM_INVALID); |
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SET_E_NTH_TRI(e,1,T_NTH_NBR(t_next,v_next)); |
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v_next = (T_WHICH_V(t_next,id)+2)%3; |
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SET_E_NTH_VERT(e,1,T_NTH_V(t_next,v_next)); |
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tlist = push_data(tlist,t_next_id); |
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} |
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while(tlist) |
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{ |
| 142 |
t_id = (int)pop_list(&tlist); |
| 143 |
/* first remove from point location structure */ |
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smLocator_remove_tri(sm,t_id); |
| 145 |
smDelete_tri(sm,t_id); |
| 146 |
} |
| 147 |
return(elist); |
| 148 |
} |
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|
| 150 |
int |
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smEdge_intersect_polygon(sm,v0,v1,l) |
| 152 |
SM *sm; |
| 153 |
FVECT v0,v1; |
| 154 |
LIST *l; |
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{ |
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FVECT e0,e1; |
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int e,id_e0,id_e1; |
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LIST *el,*eptr; |
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|
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/* Test the edges in l against v0v1 to see if v0v1 intersects |
| 161 |
any other edges |
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*/ |
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|
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el = l; |
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|
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while(el) |
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{ |
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e = (int)LIST_DATA(el); |
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id_e0 = E_NTH_VERT(e,0); |
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id_e1 = E_NTH_VERT(e,1); |
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|
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smDir(sm,e0,id_e0); |
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smDir(sm,e1,id_e1); |
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if(spherical_polygon_edge_intersect(v0,v1,e0,e1)) |
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return(TRUE); |
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|
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el = LIST_NEXT(el); |
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if(el == l) |
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break; |
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} |
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return(FALSE); |
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} |
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|
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int |
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smFind_next_convex_vertex(sm,id0,id1,v0,v1,l) |
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SM *sm; |
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int id0,id1; |
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FVECT v0,v1; |
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LIST *l; |
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{ |
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int e,id; |
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LIST *el; |
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FVECT v; |
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|
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/* starting with the end of edge at head of l, search sequentially for |
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vertex v such that v0v1v is a convex angle, and the edge v1v does |
| 197 |
not intersect any other edges |
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*/ |
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id = SM_INVALID; |
| 200 |
el = l; |
| 201 |
while(id != id0) |
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{ |
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e = (int)LIST_DATA(el); |
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id = E_NTH_VERT(e,1); |
| 205 |
|
| 206 |
smDir(sm,v,id); |
| 207 |
|
| 208 |
if(convex_angle(v0,v1,v) && !smEdge_intersect_polygon(sm,v1,v,l)) |
| 209 |
return(id); |
| 210 |
|
| 211 |
el = LIST_NEXT(el); |
| 212 |
if(el == l) |
| 213 |
break; |
| 214 |
} |
| 215 |
return(SM_INVALID); |
| 216 |
} |
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|
| 218 |
int |
| 219 |
split_edge_list(id0,id_new,l,lnew) |
| 220 |
int id0,id_new; |
| 221 |
LIST **l,**lnew; |
| 222 |
{ |
| 223 |
LIST *list,*lptr,*end; |
| 224 |
int e,e1,e2,new_e; |
| 225 |
|
| 226 |
e2 = SM_INVALID; |
| 227 |
list = lptr = *l; |
| 228 |
|
| 229 |
if((new_e = eNew_edge())==SM_INVALID) |
| 230 |
{ |
| 231 |
#ifdef DEBUG |
| 232 |
eputs("split_edge_list():Too many edges\n"); |
| 233 |
#endif |
| 234 |
return(FALSE); |
| 235 |
} |
| 236 |
SET_E_NTH_VERT(new_e,0,id0); |
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SET_E_NTH_VERT(new_e,1,id_new); |
| 238 |
SET_E_NTH_TRI(new_e,0,SM_INVALID); |
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SET_E_NTH_TRI(new_e,1,SM_INVALID); |
| 240 |
|
| 241 |
while(e2 != id_new) |
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{ |
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lptr = LIST_NEXT(lptr); |
| 244 |
e = (int)LIST_DATA(lptr); |
| 245 |
e2 = E_NTH_VERT(e,1); |
| 246 |
if(lptr == list) |
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{ |
| 248 |
#ifdef DEBUG |
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eputs("split_edge_list():cant find vertex\n"); |
| 250 |
#endif |
| 251 |
*lnew = NULL; |
| 252 |
return(FALSE); |
| 253 |
} |
| 254 |
|
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} |
| 256 |
end = lptr; |
| 257 |
lptr = LIST_NEXT(lptr); |
| 258 |
list = add_data_to_circular_list(list,&end,-new_e); |
| 259 |
*lnew = list; |
| 260 |
|
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/* now follow other cycle */ |
| 262 |
|
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list = lptr; |
| 264 |
e2 = SM_INVALID; |
| 265 |
while(e2 != id0) |
| 266 |
{ |
| 267 |
lptr = LIST_NEXT(lptr); |
| 268 |
e = (int)LIST_DATA(lptr); |
| 269 |
e2 = E_NTH_VERT(e,1); |
| 270 |
if(lptr == list) |
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{ |
| 272 |
#ifdef DEBUG |
| 273 |
eputs("split_edge_list():cant find intial vertex\n"); |
| 274 |
#endif |
| 275 |
*l = NULL; |
| 276 |
return(FALSE); |
| 277 |
} |
| 278 |
|
| 279 |
} |
| 280 |
end = lptr; |
| 281 |
list = add_data_to_circular_list(list,&end,new_e); |
| 282 |
*l = list; |
| 283 |
return(TRUE); |
| 284 |
} |
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|
| 286 |
|
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|
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LIST |
| 289 |
*smTriangulate_convex(sm,plist) |
| 290 |
SM *sm; |
| 291 |
LIST *plist; |
| 292 |
{ |
| 293 |
TRI *tri; |
| 294 |
int t_id,e_id0,e_id1,e_id2; |
| 295 |
int v_id0,v_id1,v_id2; |
| 296 |
LIST *lptr; |
| 297 |
int cnt; |
| 298 |
|
| 299 |
lptr = plist; |
| 300 |
e_id0 = (int)LIST_DATA(lptr); |
| 301 |
v_id0 = E_NTH_VERT(e_id0,0); |
| 302 |
lptr = LIST_NEXT(lptr); |
| 303 |
while(LIST_NEXT(lptr) != plist) |
| 304 |
{ |
| 305 |
e_id1 = (int)LIST_DATA(lptr); |
| 306 |
v_id1 = E_NTH_VERT(e_id1,0); |
| 307 |
v_id2 = E_NTH_VERT(e_id1,1); |
| 308 |
/* form a triangle for each triple of with v0 as base of star */ |
| 309 |
t_id = smAdd_tri(sm,v_id0,v_id1,v_id2,&tri); |
| 310 |
smLocator_add_tri(sm,t_id,v_id0,v_id1,v_id2); |
| 311 |
/* add which pointer?*/ |
| 312 |
|
| 313 |
lptr = LIST_NEXT(lptr); |
| 314 |
|
| 315 |
if(LIST_NEXT(lptr) != plist) |
| 316 |
{ |
| 317 |
e_id2 = eNew_edge(); |
| 318 |
SET_E_NTH_VERT(e_id2,0,v_id2); |
| 319 |
SET_E_NTH_VERT(e_id2,1,v_id0); |
| 320 |
} |
| 321 |
else |
| 322 |
e_id2 = (int)LIST_DATA(lptr); |
| 323 |
|
| 324 |
/* set appropriate tri for each edge*/ |
| 325 |
SET_E_NTH_TRI(e_id0,0,t_id); |
| 326 |
SET_E_NTH_TRI(e_id1,0,t_id); |
| 327 |
SET_E_NTH_TRI(e_id2,0,t_id); |
| 328 |
|
| 329 |
e_id0 = -e_id2; |
| 330 |
} |
| 331 |
free_list(plist); |
| 332 |
} |
| 333 |
|
| 334 |
smTriangulate_elist(sm,plist) |
| 335 |
SM *sm; |
| 336 |
LIST *plist; |
| 337 |
{ |
| 338 |
LIST *l,*el1; |
| 339 |
FVECT v0,v1,v2; |
| 340 |
int id0,id1,id2,e,id_next; |
| 341 |
char flipped; |
| 342 |
int debug = TRUE; |
| 343 |
|
| 344 |
l = plist; |
| 345 |
|
| 346 |
while(l) |
| 347 |
{ |
| 348 |
/* get v0,v1,v2 */ |
| 349 |
e = (int)LIST_DATA(l); |
| 350 |
id0 = E_NTH_VERT(e,0); |
| 351 |
id1 = E_NTH_VERT(e,1); |
| 352 |
l = LIST_NEXT(l); |
| 353 |
e = (int)LIST_DATA(l); |
| 354 |
id2 = E_NTH_VERT(e,1); |
| 355 |
|
| 356 |
smDir(sm,v0,id0); |
| 357 |
smDir(sm,v1,id1); |
| 358 |
smDir(sm,v2,id2); |
| 359 |
/* determine if convex (left turn), or concave(right turn) angle */ |
| 360 |
if(convex_angle(v0,v1,v2)) |
| 361 |
{ |
| 362 |
if(l == plist) |
| 363 |
break; |
| 364 |
else |
| 365 |
continue; |
| 366 |
} |
| 367 |
/* if concave: add edge and recurse on two sub polygons */ |
| 368 |
id_next = smFind_next_convex_vertex(sm,id0,id1,v0,v1,LIST_NEXT(l)); |
| 369 |
if(id_next == SM_INVALID) |
| 370 |
{ |
| 371 |
#ifdef DEBUG |
| 372 |
eputs("smTriangulate_elist():Unable to find convex vertex\n"); |
| 373 |
#endif |
| 374 |
return; |
| 375 |
} |
| 376 |
/* add edge */ |
| 377 |
el1 = NULL; |
| 378 |
/* Split edge list l into two lists: one from id1-id_next-id1, |
| 379 |
and the next from id2-id_next-id2 |
| 380 |
*/ |
| 381 |
debug = split_edge_list(id1,id_next,&l,&el1); |
| 382 |
/* Recurse and triangulate the two edge lists */ |
| 383 |
if(debug) |
| 384 |
debug = smTriangulate_elist(sm,l); |
| 385 |
if(debug) |
| 386 |
debug = smTriangulate_elist(sm,el1); |
| 387 |
|
| 388 |
return(debug); |
| 389 |
} |
| 390 |
smTriangulate_convex(sm,plist); |
| 391 |
return(TRUE); |
| 392 |
} |
| 393 |
|
| 394 |
int |
| 395 |
smTriangulate_polygon(sm,plist) |
| 396 |
SM *sm; |
| 397 |
LIST *plist; |
| 398 |
{ |
| 399 |
int e,id_t0,id_t1,e0,e1; |
| 400 |
TRI *t0,*t1; |
| 401 |
int test; |
| 402 |
|
| 403 |
test = smTriangulate_elist(sm,plist,NULL); |
| 404 |
|
| 405 |
if(!test) |
| 406 |
return(test); |
| 407 |
FOR_ALL_EDGES(e) |
| 408 |
{ |
| 409 |
id_t0 = E_NTH_TRI(e,0); |
| 410 |
id_t1 = E_NTH_TRI(e,1); |
| 411 |
if((id_t0==SM_INVALID) || (id_t1==SM_INVALID)) |
| 412 |
{ |
| 413 |
#ifdef DEBUG |
| 414 |
eputs("smTriangulate_polygon(): Unassigned edge neighbor\n"); |
| 415 |
#endif |
| 416 |
continue; |
| 417 |
} |
| 418 |
t0 = SM_NTH_TRI(sm,id_t0); |
| 419 |
t1 = SM_NTH_TRI(sm,id_t1); |
| 420 |
|
| 421 |
e0 = T_WHICH_V(t0,E_NTH_VERT(e,0)); |
| 422 |
T_NTH_NBR(t0,e0) = id_t1; |
| 423 |
|
| 424 |
e1 = T_WHICH_V(t1,E_NTH_VERT(e,1)); |
| 425 |
T_NTH_NBR(t1,e1) = id_t0; |
| 426 |
} |
| 427 |
return(test); |
| 428 |
} |
| 429 |
|
| 430 |
eIn_tri(e,t) |
| 431 |
int e; |
| 432 |
TRI *t; |
| 433 |
{ |
| 434 |
|
| 435 |
if(T_NTH_V(t,0)==E_NTH_VERT(e,0)) |
| 436 |
return(T_NTH_V(t,1)==E_NTH_VERT(e,1)||T_NTH_V(t,2)==E_NTH_VERT(e,1)); |
| 437 |
else |
| 438 |
if(T_NTH_V(t,1)==E_NTH_VERT(e,0)) |
| 439 |
return(T_NTH_V(t,0)==E_NTH_VERT(e,1)||T_NTH_V(t,2)==E_NTH_VERT(e,1)); |
| 440 |
else if(T_NTH_V(t,2)==E_NTH_VERT(e,0)) |
| 441 |
return(T_NTH_V(t,0)==E_NTH_VERT(e,1)||T_NTH_V(t,1)==E_NTH_VERT(e,1)); |
| 442 |
return(FALSE); |
| 443 |
} |
| 444 |
smFix_edges(sm) |
| 445 |
SM *sm; |
| 446 |
{ |
| 447 |
int e,id_t0,id_t1,e_new,e0,e1,e0_next,e1_next; |
| 448 |
TRI *t0,*t1,*nt0,*nt1; |
| 449 |
int i,id_v0,id_v1,id_v2,id_p,nid_t0,nid_t1; |
| 450 |
FVECT v0,v1,v2,p,np,v; |
| 451 |
LIST *add,*del; |
| 452 |
|
| 453 |
add = del = NULL; |
| 454 |
FOR_ALL_EDGES(e) |
| 455 |
{ |
| 456 |
id_t0 = E_NTH_TRI(e,0); |
| 457 |
id_t1 = E_NTH_TRI(e,1); |
| 458 |
if((id_t0==SM_INVALID) || (id_t1==SM_INVALID)) |
| 459 |
{ |
| 460 |
#ifdef DEBUG |
| 461 |
eputs("smFix_edges: Unassigned edge nbr\n"); |
| 462 |
#endif |
| 463 |
continue; |
| 464 |
} |
| 465 |
t0 = SM_NTH_TRI(sm,id_t0); |
| 466 |
t1 = SM_NTH_TRI(sm,id_t1); |
| 467 |
|
| 468 |
e0 = T_WHICH_V(t0,E_NTH_VERT(e,0)); |
| 469 |
e1 = T_WHICH_V(t1,E_NTH_VERT(-e,0)); |
| 470 |
e0_next = (e0+2)%3; |
| 471 |
e1_next = (e1+2)%3; |
| 472 |
id_v0 = E_NTH_VERT(e,0); |
| 473 |
id_v1 = E_NTH_VERT(e,1); |
| 474 |
id_v2 = T_NTH_V(t0,e0_next); |
| 475 |
id_p = T_NTH_V(t1,e1_next); |
| 476 |
|
| 477 |
smDir(sm,v0,id_v0); |
| 478 |
smDir(sm,v1,id_v1); |
| 479 |
smDir(sm,v2,id_v2); |
| 480 |
|
| 481 |
VCOPY(p,SM_NTH_WV(sm,id_p)); |
| 482 |
VSUB(p,p,SM_VIEW_CENTER(sm)); |
| 483 |
if(point_in_cone(p,v0,v1,v2)) |
| 484 |
{ |
| 485 |
smTris_swap_edge(sm,id_t0,id_t1,e0,e1,&nid_t0,&nid_t1,&add,&del); |
| 486 |
|
| 487 |
nt0 = SM_NTH_TRI(sm,nid_t0); |
| 488 |
nt1 = SM_NTH_TRI(sm,nid_t1); |
| 489 |
FOR_ALL_EDGES_FROM(e,i) |
| 490 |
{ |
| 491 |
if(E_NTH_TRI(i,0)==id_t0 || E_NTH_TRI(i,0)==id_t1) |
| 492 |
{ |
| 493 |
if(eIn_tri(i,nt0)) |
| 494 |
SET_E_NTH_TRI(i,0,nid_t0); |
| 495 |
else |
| 496 |
SET_E_NTH_TRI(i,0,nid_t1); |
| 497 |
} |
| 498 |
|
| 499 |
if(E_NTH_TRI(i,1)==id_t0 || E_NTH_TRI(i,1)==id_t1) |
| 500 |
{ |
| 501 |
if(eIn_tri(i,nt0)) |
| 502 |
SET_E_NTH_TRI(i,1,nid_t0); |
| 503 |
else |
| 504 |
SET_E_NTH_TRI(i,1,nid_t1); |
| 505 |
} |
| 506 |
} |
| 507 |
id_t0 = nid_t0; |
| 508 |
id_t1 = nid_t1; |
| 509 |
e_new = eNew_edge(); |
| 510 |
SET_E_NTH_VERT(e_new,0,id_p); |
| 511 |
SET_E_NTH_VERT(e_new,1,id_v2); |
| 512 |
SET_E_NTH_TRI(e_new,0,id_t0); |
| 513 |
SET_E_NTH_TRI(e_new,1,id_t1); |
| 514 |
} |
| 515 |
} |
| 516 |
smUpdate_locator(sm,add,del); |
| 517 |
} |
| 518 |
|
| 519 |
int |
| 520 |
smMesh_remove_vertex(sm,id) |
| 521 |
SM *sm; |
| 522 |
int id; |
| 523 |
{ |
| 524 |
int tri; |
| 525 |
LIST *elist; |
| 526 |
int cnt,debug; |
| 527 |
/* generate list of vertices that form the boundary of the |
| 528 |
star polygon formed by vertex id and all of its adjacent |
| 529 |
triangles |
| 530 |
*/ |
| 531 |
eClear_edges(); |
| 532 |
elist = smVertex_star_polygon(sm,id); |
| 533 |
if(!elist) |
| 534 |
return(FALSE); |
| 535 |
|
| 536 |
/* Triangulate spherical polygon */ |
| 537 |
debug = smTriangulate_polygon(sm,elist); |
| 538 |
|
| 539 |
|
| 540 |
/* Fix up new triangles to be Delaunay */ |
| 541 |
if(debug) |
| 542 |
smFix_edges(sm); |
| 543 |
|
| 544 |
return(TRUE); |
| 545 |
} |
| 546 |
|
| 547 |
/* Remove point from samples, and from mesh. Delete any triangles |
| 548 |
adjacent to the point and re-triangulate the hole |
| 549 |
Return TRUE is point found , FALSE otherwise |
| 550 |
*/ |
| 551 |
int |
| 552 |
smDelete_point(sm,id) |
| 553 |
SM *sm; |
| 554 |
int id; |
| 555 |
{ |
| 556 |
|
| 557 |
/* Remove the corresponding vertex from the mesh */ |
| 558 |
smMesh_remove_vertex(sm,id); |
| 559 |
/* Free the sample point */ |
| 560 |
smDelete_sample(sm,id); |
| 561 |
return(TRUE); |
| 562 |
} |
| 563 |
|
| 564 |
|
| 565 |
|
| 566 |
|
| 567 |
|
| 568 |
|
| 569 |
|
| 570 |
|
| 571 |
|
| 572 |
|
| 573 |
|
| 574 |
|
| 575 |
|
| 576 |
|
