| 1 |
/* Copyright (c) 1998 Silicon Graphics, Inc. */ |
| 2 |
|
| 3 |
#ifndef lint |
| 4 |
static char SCCSid[] = "$SunId$ SGI"; |
| 5 |
#endif |
| 6 |
|
| 7 |
/* |
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* sm_stree.c |
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*/ |
| 10 |
#include "standard.h" |
| 11 |
#include "sm_geom.h" |
| 12 |
#include "sm_stree.h" |
| 13 |
|
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/* Define 4 vertices on the sphere to create a tetrahedralization on |
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the sphere: triangles are as follows: |
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(2,1,0),(3,2,0), (1,3,0), (2,3,1) |
| 17 |
*/ |
| 18 |
|
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#ifdef TEST_DRIVER |
| 20 |
extern FVECT Pick_point[500],Pick_v0[500],Pick_v1[500],Pick_v2[500]; |
| 21 |
extern int Pick_cnt; |
| 22 |
#endif |
| 23 |
FVECT stDefault_base[4] = { {SQRT3_INV, SQRT3_INV, SQRT3_INV}, |
| 24 |
{-SQRT3_INV, -SQRT3_INV, SQRT3_INV}, |
| 25 |
{-SQRT3_INV, SQRT3_INV, -SQRT3_INV}, |
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{SQRT3_INV, -SQRT3_INV, -SQRT3_INV}}; |
| 27 |
int stTri_verts[4][3] = { {2,1,0},{3,2,0},{1,3,0},{2,3,1}}; |
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int stTri_nbrs[4][3] = { {2,1,3},{0,2,3},{1,0,3},{2,0,1}}; |
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|
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stNth_base_verts(st,i,v1,v2,v3) |
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STREE *st; |
| 32 |
int i; |
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FVECT v1,v2,v3; |
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{ |
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VCOPY(v1,ST_NTH_BASE(st,stTri_verts[i][0])); |
| 36 |
VCOPY(v2,ST_NTH_BASE(st,stTri_verts[i][1])); |
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VCOPY(v3,ST_NTH_BASE(st,stTri_verts[i][2])); |
| 38 |
} |
| 39 |
|
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/* Frees the 4 quadtrees rooted at st */ |
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stClear(st) |
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STREE *st; |
| 43 |
{ |
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int i; |
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|
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/* stree always has 4 children corresponding to the base tris |
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*/ |
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for (i = 0; i < 4; i++) |
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qtFree(ST_NTH_ROOT(st, i)); |
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|
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QT_CLEAR_CHILDREN(ST_ROOT(st)); |
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|
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} |
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|
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|
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STREE |
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*stInit(st,center,base) |
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STREE *st; |
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FVECT center,base[4]; |
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{ |
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|
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if(base) |
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ST_SET_BASE(st,base); |
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else |
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ST_SET_BASE(st,stDefault_base); |
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|
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ST_SET_CENTER(st,center); |
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stClear(st); |
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|
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return(st); |
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} |
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|
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|
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/* "base" defines 4 vertices on the sphere to create a tetrahedralization on |
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the sphere: triangles are as follows:(0,1,2),(0,2,3), (0,3,1), (1,3,2) |
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if base is null: does default. |
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|
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*/ |
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STREE |
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*stAlloc(st) |
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STREE *st; |
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{ |
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int i; |
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|
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if(!st) |
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st = (STREE *)malloc(sizeof(STREE)); |
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|
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ST_ROOT(st) = qtAlloc(); |
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|
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QT_CLEAR_CHILDREN(ST_ROOT(st)); |
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|
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return(st); |
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} |
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|
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|
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/* Find location of sample point in the DAG and return lowest level |
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containing triangle. "type" indicates whether the point was found |
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to be in interior to the triangle: GT_FACE, on one of its |
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edges GT_EDGE or coinciding with one of its vertices GT_VERTEX. |
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"which" specifies which vertex (0,1,2) or edge (0=v0v1, 1 = v1v2, 2 = v21) |
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*/ |
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int |
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stPoint_locate(st,npt) |
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STREE *st; |
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FVECT npt; |
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{ |
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int i,d,j,id; |
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QUADTREE *rootptr,*qtptr; |
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FVECT v1,v2,v3; |
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OBJECT os[QT_MAXSET+1],*optr; |
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FVECT p0,p1,p2; |
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|
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/* Test each of the root triangles against point id */ |
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for(i=0; i < 4; i++) |
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{ |
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rootptr = ST_NTH_ROOT_PTR(st,i); |
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stNth_base_verts(st,i,v1,v2,v3); |
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/* Return tri that p falls in */ |
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qtptr = qtRoot_point_locate(rootptr,v1,v2,v3,npt,NULL,NULL,NULL); |
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if(!qtptr || QT_IS_EMPTY(*qtptr)) |
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continue; |
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/* Get the set */ |
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optr = qtqueryset(*qtptr); |
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for (j = QT_SET_CNT(optr),optr = QT_SET_PTR(optr);j > 0; j--) |
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{ |
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/* Find the first triangle that pt falls */ |
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id = QT_SET_NEXT_ELEM(optr); |
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qtTri_from_id(id,NULL,NULL,NULL,p0,p1,p2,NULL,NULL,NULL); |
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d = point_in_stri(p0,p1,p2,npt); |
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if(d) |
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return(id); |
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} |
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} |
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return(EMPTY); |
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} |
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|
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QUADTREE |
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*stPoint_locate_cell(st,p,t0,t1,t2) |
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STREE *st; |
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FVECT p; |
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FVECT t0,t1,t2; |
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{ |
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int i,d; |
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QUADTREE *rootptr,*qtptr; |
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FVECT v0,v1,v2; |
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|
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|
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/* Test each of the root triangles against point id */ |
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for(i=0; i < 4; i++) |
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{ |
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rootptr = ST_NTH_ROOT_PTR(st,i); |
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stNth_base_verts(st,i,v0,v1,v2); |
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/* Return quadtree tri that p falls in */ |
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qtptr = qtRoot_point_locate(rootptr,v0,v1,v2,p,t0,t1,t2); |
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if(qtptr) |
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return(qtptr); |
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} /* Point not found */ |
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return(NULL); |
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} |
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|
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|
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int |
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stAdd_tri(st,id,v0,v1,v2) |
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STREE *st; |
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int id; |
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FVECT v0,v1,v2; |
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{ |
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|
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int i,found; |
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QUADTREE *rootptr; |
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FVECT t0,t1,t2; |
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|
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found = 0; |
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for(i=0; i < 4; i++) |
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{ |
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rootptr = ST_NTH_ROOT_PTR(st,i); |
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stNth_base_verts(st,i,t0,t1,t2); |
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found |= qtRoot_add_tri(rootptr,t0,t1,t2,v0,v1,v2,id,0); |
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} |
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return(found); |
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} |
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|
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int |
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stApply_to_tri_cells(st,v0,v1,v2,func,arg) |
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STREE *st; |
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FVECT v0,v1,v2; |
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int (*func)(); |
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int *arg; |
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{ |
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int i,found; |
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QUADTREE *rootptr; |
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FVECT t0,t1,t2; |
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|
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found = 0; |
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func(ST_ROOT_PTR(st),arg); |
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QT_SET_FLAG(ST_ROOT(st)); |
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for(i=0; i < 4; i++) |
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{ |
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rootptr = ST_NTH_ROOT_PTR(st,i); |
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stNth_base_verts(st,i,t0,t1,t2); |
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found |= qtApply_to_tri_cells(rootptr,v0,v1,v2,t0,t1,t2,func,arg); |
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} |
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return(found); |
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} |
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|
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|
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|
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|
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int |
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stRemove_tri(st,id,v0,v1,v2) |
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STREE *st; |
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int id; |
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FVECT v0,v1,v2; |
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{ |
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|
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int i,found; |
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QUADTREE *rootptr; |
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FVECT t0,t1,t2; |
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|
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found = 0; |
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for(i=0; i < 4; i++) |
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{ |
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rootptr = ST_NTH_ROOT_PTR(st,i); |
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stNth_base_verts(st,i,t0,t1,t2); |
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found |= qtRemove_tri(rootptr,id,v0,v1,v2,t0,t1,t2); |
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} |
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return(found); |
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} |
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|
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int |
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stVisit_tri_edges(st,t0,t1,t2,func,arg1,arg2) |
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STREE *st; |
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FVECT t0,t1,t2; |
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int (*func)(); |
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int *arg1,arg2; |
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{ |
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int id,i,w; |
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QUADTREE *rootptr; |
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FVECT q0,q1,q2,n,v[3],sdir[3],dir[3],tv,d; |
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double pd,t; |
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|
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VCOPY(v[0],t0); VCOPY(v[1],t1); VCOPY(v[2],t2); |
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VSUB(dir[0],t1,t0); VSUB(dir[1],t2,t1);VSUB(dir[2],t0,t2); |
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VCOPY(sdir[0],dir[0]);VCOPY(sdir[1],dir[1]);VCOPY(sdir[2],dir[2]); |
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w = 0; |
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for(i=0; i < 4; i++) |
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{ |
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#ifdef TEST_DRIVER |
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Pick_cnt = 0; |
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#endif |
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rootptr = ST_NTH_ROOT_PTR(st,i); |
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stNth_base_verts(st,i,q0,q1,q2); |
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/* Return quadtree tri that p falls in */ |
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if(!point_in_stri(q0,q1,q2,v[w])) |
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continue; |
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id = qtRoot_visit_tri_edges(rootptr,q0,q1,q2,v,dir,&w,func,arg1,arg2); |
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if(id == INVALID) |
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{ |
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#ifdef DEBUG |
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eputs("stVisit_tri_edges(): Unable to trace edges\n"); |
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#endif |
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return(INVALID); |
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} |
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if(id == QT_DONE) |
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return(*arg1); |
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|
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/* Crossed over to next cell: id = nbr */ |
| 268 |
while(1) |
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{ |
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/* test if ray crosses plane between this quadtree triangle and |
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its neighbor- if it does then find intersection point with |
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ray and plane- this is the new origin |
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*/ |
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if(id==0) |
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VCROSS(n,q1,q2); |
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else |
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if(id==1) |
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VCROSS(n,q2,q0); |
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else |
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VCROSS(n,q0,q1); |
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|
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if(w==0) |
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VCOPY(tv,t0); |
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else |
| 285 |
if(w==1) |
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VCOPY(tv,t1); |
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else |
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VCOPY(tv,t2); |
| 289 |
if(!intersect_ray_plane(tv,sdir[w],n,0.0,&t,v[w])) |
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return(INVALID); |
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|
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VSUM(v[w],v[w],sdir[w],10.0*FTINY); |
| 293 |
|
| 294 |
t = (1.0-t-10.0*FTINY); |
| 295 |
if(t <= 0.0) |
| 296 |
{ |
| 297 |
t = FTINY; |
| 298 |
#if 0 |
| 299 |
eputs("stVisit_tri_edges(): edge end on plane\n"); |
| 300 |
#endif |
| 301 |
} |
| 302 |
dir[w][0] = sdir[w][0] * t; |
| 303 |
dir[w][1] = sdir[w][1] * t; |
| 304 |
dir[w][2] = sdir[w][2] * t; |
| 305 |
i = stTri_nbrs[i][id]; |
| 306 |
rootptr = ST_NTH_ROOT_PTR(st,i); |
| 307 |
stNth_base_verts(st,i,q0,q1,q2); |
| 308 |
id=qtRoot_visit_tri_edges(rootptr,q0,q1,q2,v,dir,&w,func,arg1,arg2); |
| 309 |
if(id == QT_DONE) |
| 310 |
return(*arg1); |
| 311 |
if(id == INVALID) |
| 312 |
{ |
| 313 |
#if 0 |
| 314 |
eputs("stVisit_tri_edges(): point not found\n"); |
| 315 |
#endif |
| 316 |
return(INVALID); |
| 317 |
} |
| 318 |
|
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} |
| 320 |
} /* Point not found */ |
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return(INVALID); |
| 322 |
} |
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|
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|
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int |
| 326 |
stVisit_tri_edges2(st,t0,t1,t2,func,arg1,arg2) |
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STREE *st; |
| 328 |
FVECT t0,t1,t2; |
| 329 |
int (*func)(); |
| 330 |
int *arg1,arg2; |
| 331 |
{ |
| 332 |
int id,i,w; |
| 333 |
QUADTREE *rootptr; |
| 334 |
FVECT q0,q1,q2,v[3],i_pt; |
| 335 |
|
| 336 |
VCOPY(v[0],t0); VCOPY(v[1],t1); VCOPY(v[2],t2); |
| 337 |
w = -1; |
| 338 |
for(i=0; i < 4; i++) |
| 339 |
{ |
| 340 |
#ifdef TEST_DRIVER |
| 341 |
Pick_cnt = 0; |
| 342 |
#endif |
| 343 |
rootptr = ST_NTH_ROOT_PTR(st,i); |
| 344 |
stNth_base_verts(st,i,q0,q1,q2); |
| 345 |
/* Return quadtree tri that p falls in */ |
| 346 |
if(!point_in_stri(q0,q1,q2,v[0])) |
| 347 |
continue; |
| 348 |
id = qtRoot_visit_tri_edges2(rootptr,q0,q1,q2,v,i_pt,&w, |
| 349 |
func,arg1,arg2); |
| 350 |
if(id == INVALID) |
| 351 |
{ |
| 352 |
#ifdef DEBUG |
| 353 |
eputs("stVisit_tri_edges(): Unable to trace edges\n"); |
| 354 |
#endif |
| 355 |
return(INVALID); |
| 356 |
} |
| 357 |
if(id == QT_DONE) |
| 358 |
return(*arg1); |
| 359 |
|
| 360 |
/* Crossed over to next cell: id = nbr */ |
| 361 |
while(1) |
| 362 |
{ |
| 363 |
/* test if ray crosses plane between this quadtree triangle and |
| 364 |
its neighbor- if it does then find intersection point with |
| 365 |
ray and plane- this is the new origin |
| 366 |
*/ |
| 367 |
i = stTri_nbrs[i][id]; |
| 368 |
rootptr = ST_NTH_ROOT_PTR(st,i); |
| 369 |
stNth_base_verts(st,i,q0,q1,q2); |
| 370 |
id=qtRoot_visit_tri_edges2(rootptr,q0,q1,q2,v,i_pt,&w, |
| 371 |
func,arg1,arg2); |
| 372 |
if(id == QT_DONE) |
| 373 |
return(*arg1); |
| 374 |
if(id == INVALID) |
| 375 |
{ |
| 376 |
#ifdef DEBUG |
| 377 |
eputs("stVisit_tri_edges(): point not found\n"); |
| 378 |
#endif |
| 379 |
return(INVALID); |
| 380 |
} |
| 381 |
|
| 382 |
} |
| 383 |
} /* Point not found */ |
| 384 |
return(INVALID); |
| 385 |
} |
| 386 |
|
| 387 |
int |
| 388 |
stTrace_edge(st,orig,dir,max_t,func,arg1,arg2) |
| 389 |
STREE *st; |
| 390 |
FVECT orig,dir; |
| 391 |
double max_t; |
| 392 |
int (*func)(); |
| 393 |
int *arg1,arg2; |
| 394 |
{ |
| 395 |
int id,i; |
| 396 |
QUADTREE *rootptr; |
| 397 |
FVECT q0,q1,q2,o,n,d; |
| 398 |
double pd,t; |
| 399 |
|
| 400 |
#if DEBUG |
| 401 |
if(max_t > 1.0 || max_t < 0.0) |
| 402 |
{ |
| 403 |
eputs("stTrace_edge(): max_t must be in [0,1]:adjusting\n"); |
| 404 |
max_t = 1.0; |
| 405 |
} |
| 406 |
#endif |
| 407 |
|
| 408 |
VCOPY(o,orig); |
| 409 |
for(i=0; i < 4; i++) |
| 410 |
{ |
| 411 |
#ifdef TEST_DRIVER |
| 412 |
Pick_cnt = 0; |
| 413 |
#endif |
| 414 |
rootptr = ST_NTH_ROOT_PTR(st,i); |
| 415 |
stNth_base_verts(st,i,q0,q1,q2); |
| 416 |
/* Return quadtree tri that p falls in */ |
| 417 |
id= qtRoot_trace_edge(rootptr,q0,q1,q2,o,dir,max_t,func,arg1,arg2); |
| 418 |
if(id == INVALID) |
| 419 |
continue; |
| 420 |
if(id == QT_DONE) |
| 421 |
return(*arg1); |
| 422 |
|
| 423 |
/* Crossed over to next cell: id = nbr */ |
| 424 |
while(1) |
| 425 |
{ |
| 426 |
/* test if ray crosses plane between this quadtree triangle and |
| 427 |
its neighbor- if it does then find intersection point with |
| 428 |
ray and plane- this is the new origin |
| 429 |
*/ |
| 430 |
if(id==0) |
| 431 |
VCROSS(n,q1,q2); |
| 432 |
else |
| 433 |
if(id==1) |
| 434 |
VCROSS(n,q2,q0); |
| 435 |
else |
| 436 |
VCROSS(n,q0,q1); |
| 437 |
|
| 438 |
/* Ray does not cross into next cell: done and tri not found*/ |
| 439 |
if(!intersect_ray_plane(orig,dir,n,0.0,&t,o)) |
| 440 |
return(INVALID); |
| 441 |
|
| 442 |
VSUM(o,o,dir,10*FTINY); |
| 443 |
|
| 444 |
d[0] = dir[0]*(1-t-10*FTINY); |
| 445 |
d[1] = dir[1]*(1-t-10*FTINY); |
| 446 |
d[2] = dir[2]*(1-t-10*FTINY); |
| 447 |
i = stTri_nbrs[i][id]; |
| 448 |
rootptr = ST_NTH_ROOT_PTR(st,i); |
| 449 |
stNth_base_verts(st,i,q0,q1,q2); |
| 450 |
id = qtRoot_trace_edge(rootptr,q0,q1,q2,o,d,max_t,func,arg1,arg2); |
| 451 |
if(id == QT_DONE) |
| 452 |
return(*arg1); |
| 453 |
if(id == INVALID) |
| 454 |
{ |
| 455 |
#if 0 |
| 456 |
eputs("stTrace_edges(): point not found\n"); |
| 457 |
#endif |
| 458 |
return(INVALID); |
| 459 |
} |
| 460 |
|
| 461 |
} |
| 462 |
} /* Point not found */ |
| 463 |
return(INVALID); |
| 464 |
} |
| 465 |
|
| 466 |
|
| 467 |
|
| 468 |
int |
| 469 |
stTrace_ray(st,orig,dir,func,arg1,arg2) |
| 470 |
STREE *st; |
| 471 |
FVECT orig,dir; |
| 472 |
int (*func)(); |
| 473 |
int *arg1,arg2; |
| 474 |
{ |
| 475 |
int id,i; |
| 476 |
QUADTREE *rootptr; |
| 477 |
FVECT q0,q1,q2,o,n; |
| 478 |
double pd,t; |
| 479 |
|
| 480 |
VCOPY(o,orig); |
| 481 |
for(i=0; i < 4; i++) |
| 482 |
{ |
| 483 |
#ifdef TEST_DRIVER |
| 484 |
Pick_cnt = 0; |
| 485 |
#endif |
| 486 |
rootptr = ST_NTH_ROOT_PTR(st,i); |
| 487 |
stNth_base_verts(st,i,q0,q1,q2); |
| 488 |
/* Return quadtree tri that p falls in */ |
| 489 |
id= qtRoot_trace_ray(rootptr,q0,q1,q2,o,dir,func,arg1,arg2); |
| 490 |
if(id == INVALID) |
| 491 |
continue; |
| 492 |
if(id == QT_DONE) |
| 493 |
return(*arg1); |
| 494 |
|
| 495 |
/* Crossed over to next cell: id = nbr */ |
| 496 |
while(1) |
| 497 |
{ |
| 498 |
/* test if ray crosses plane between this quadtree triangle and |
| 499 |
its neighbor- if it does then find intersection point with |
| 500 |
ray and plane- this is the new origin |
| 501 |
*/ |
| 502 |
if(id==0) |
| 503 |
VCROSS(n,q1,q2); |
| 504 |
else |
| 505 |
if(id==1) |
| 506 |
VCROSS(n,q2,q0); |
| 507 |
else |
| 508 |
VCROSS(n,q0,q1); |
| 509 |
|
| 510 |
/* Ray does not cross into next cell: done and tri not found*/ |
| 511 |
if(!intersect_ray_plane(orig,dir,n,0.0,NULL,o)) |
| 512 |
return(INVALID); |
| 513 |
|
| 514 |
VSUM(o,o,dir,10*FTINY); |
| 515 |
i = stTri_nbrs[i][id]; |
| 516 |
rootptr = ST_NTH_ROOT_PTR(st,i); |
| 517 |
stNth_base_verts(st,i,q0,q1,q2); |
| 518 |
id = qtRoot_trace_ray(rootptr,q0,q1,q2,o,dir,func,arg1,arg2); |
| 519 |
if(id == QT_DONE) |
| 520 |
return(*arg1); |
| 521 |
if(id == INVALID) |
| 522 |
return(INVALID); |
| 523 |
|
| 524 |
} |
| 525 |
} /* Point not found */ |
| 526 |
return(INVALID); |
| 527 |
} |
| 528 |
|
| 529 |
|
| 530 |
|
| 531 |
stVisit_tri_interior(st,t0,t1,t2,func,arg1,arg2) |
| 532 |
STREE *st; |
| 533 |
FVECT t0,t1,t2; |
| 534 |
int (*func)(); |
| 535 |
int *arg1,arg2; |
| 536 |
{ |
| 537 |
int i; |
| 538 |
QUADTREE *rootptr; |
| 539 |
FVECT q0,q1,q2; |
| 540 |
|
| 541 |
for(i=0; i < 4; i++) |
| 542 |
{ |
| 543 |
rootptr = ST_NTH_ROOT_PTR(st,i); |
| 544 |
stNth_base_verts(st,i,q0,q1,q2); |
| 545 |
qtVisit_tri_interior(rootptr,q0,q1,q2,t0,t1,t2,0,func,arg1,arg2); |
| 546 |
} |
| 547 |
} |
| 548 |
|
| 549 |
|
| 550 |
int |
| 551 |
stApply_to_tri(st,t0,t1,t2,func,arg1,arg2) |
| 552 |
STREE *st; |
| 553 |
FVECT t0,t1,t2; |
| 554 |
int (*func)(); |
| 555 |
int *arg1,arg2; |
| 556 |
{ |
| 557 |
int f; |
| 558 |
FVECT dir; |
| 559 |
|
| 560 |
/* First add all of the leaf cells lying on the triangle perimeter: |
| 561 |
mark all cells seen on the way |
| 562 |
*/ |
| 563 |
qtClearAllFlags(); /* clear all quadtree branch flags */ |
| 564 |
f = 0; |
| 565 |
VSUB(dir,t1,t0); |
| 566 |
stTrace_edge(st,t0,dir,1.0,func,arg1,arg2); |
| 567 |
VSUB(dir,t2,t1); |
| 568 |
stTrace_edge(st,t1,dir,1.0,func,arg1,arg2); |
| 569 |
VSUB(dir,t0,t2); |
| 570 |
stTrace_edge(st,t2,dir,1.0,func,arg1,arg2); |
| 571 |
/* Now visit interior */ |
| 572 |
stVisit_tri_interior(st,t0,t1,t2,func,arg1,arg2); |
| 573 |
} |
| 574 |
|
| 575 |
|
| 576 |
|
| 577 |
|
| 578 |
|
| 579 |
int |
| 580 |
stUpdate_tri(st,t_id,t0,t1,t2,edge_func,interior_func) |
| 581 |
STREE *st; |
| 582 |
int t_id; |
| 583 |
FVECT t0,t1,t2; |
| 584 |
int (*edge_func)(),(*interior_func)(); |
| 585 |
{ |
| 586 |
int f; |
| 587 |
FVECT dir; |
| 588 |
|
| 589 |
/* First add all of the leaf cells lying on the triangle perimeter: |
| 590 |
mark all cells seen on the way |
| 591 |
*/ |
| 592 |
ST_CLEAR_FLAGS(st); |
| 593 |
f = 0; |
| 594 |
/* Visit cells along edges of the tri */ |
| 595 |
|
| 596 |
stVisit_tri_edges2(st,t0,t1,t2,edge_func,&f,t_id); |
| 597 |
|
| 598 |
/* Now visit interior */ |
| 599 |
if(QT_FLAG_FILL_TRI(f) || QT_FLAG_UPDATE(f)) |
| 600 |
stVisit_tri_interior(st,t0,t1,t2,interior_func,&f,t_id); |
| 601 |
} |
| 602 |
|
| 603 |
|
| 604 |
|
| 605 |
|
