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/*<html><pre> -<a href="qh-c.htm#io"
>-------------------------------</a><a name="TOP">-</a>
io.c
Input/Output routines of qhull application
see qh-c.htm and io.h
see user.c for qh_errprint and qh_printfacetlist
unix.c calls qh_readpoints and qh_produce_output
unix.c and user.c are the only callers of io.c functions
This allows the user to avoid loading io.o from qhull.a
copyright (c) 1993-1999 The Geometry Center
*/
#include "qhull_a.h"
/*========= -prototypes for internal functions ========= */
static int qh_compare_facetarea(const void *p1, const void *p2);
static int qh_compare_facetmerge(const void *p1, const void *p2);
static int qh_compare_facetvisit(const void *p1, const void *p2);
int qh_compare_vertexpoint(const void *p1, const void *p2); /* not used */
/*========= -functions in alphabetical order after qh_produce_output() =====*/
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="produce_output">-</a>
qh_produce_output()
prints out the result of qhull in desired format
if qh.GETarea
computes and prints area and volume
qh.PRINTout[] is an array of output formats
notes:
prints output in qh.PRINTout order
*/
void qh_produce_output(void) {
int i, tempsize= qh_setsize ((setT*)qhmem.tempstack), d_1;
if (qh VORONOI) {
qh_clearcenters (qh_ASvoronoi);
qh_vertexneighbors();
}
if (qh GETarea)
qh_getarea(qh facet_list);
qh_findgood_all (qh facet_list);
if (qh KEEParea || qh KEEPmerge || qh KEEPminArea < REALmax/2)
qh_markkeep (qh facet_list);
if (qh PRINTsummary)
qh_printsummary(qh ferr);
else if (qh PRINTout[0] == qh_PRINTnone)
qh_printsummary(qh fout);
for (i= 0; i < qh_PRINTEND; i++)
qh_printfacets (qh fout, qh PRINTout[i], qh facet_list, NULL, !qh_ALL);
qh_allstatistics();
if (qh PRINTprecision && !qh MERGING && (qh JOGGLEmax > REALmax/2 || qh RERUN))
qh_printstats (qh ferr, qhstat precision, NULL);
if (qh VERIFYoutput && (zzval_(Zridge) > 0 || zzval_(Zridgemid) > 0))
qh_printstats (qh ferr, qhstat vridges, NULL);
if (qh PRINTstatistics) {
qh_collectstatistics();
qh_printstatistics(qh ferr, "");
qh_memstatistics (qh ferr);
d_1= sizeof(setT) + (qh hull_dim - 1) * SETelemsize;
fprintf(qh ferr, "\
size in bytes: hashentry %d merge %d ridge %d vertex %d facet %d\n\
normal %d ridge vertices %d facet vertices or neighbors %d\n",
sizeof(hashentryT), sizeof(mergeT), sizeof(ridgeT),
sizeof(vertexT), sizeof(facetT),
qh normal_size, d_1, d_1 + SETelemsize);
}
if (qh_setsize ((setT*)qhmem.tempstack) != tempsize) {
fprintf (qh ferr, "qhull internal error (qh_produce_output): temporary sets not empty (%d)\n",
qh_setsize ((setT*)qhmem.tempstack));
qh_errexit (qh_ERRqhull, NULL, NULL);
}
} /* produce_output */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="dfacet">-</a>
dfacet( id )
print facet by id, for debugging
*/
void dfacet (unsigned id) {
facetT *facet;
FORALLfacets {
if (facet->id == id) {
qh_printfacet (qh fout, facet);
break;
}
}
} /* dfacet */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="dvertex">-</a>
dvertex( id )
print vertex by id, for debugging
*/
void dvertex (unsigned id) {
vertexT *vertex;
FORALLvertices {
if (vertex->id == id) {
qh_printvertex (qh fout, vertex);
break;
}
}
} /* dvertex */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="compare_vertexpoint">-</a>
qh_compare_vertexpoint( p1, p2 )
used by qsort() to order vertices by point id
*/
int qh_compare_vertexpoint(const void *p1, const void *p2) {
vertexT *a= *((vertexT **)p1), *b= *((vertexT **)p2);
return ((qh_pointid(a->point) > qh_pointid(b->point)?1:-1));
} /* compare_vertexpoint */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="compare_facetarea">-</a>
qh_compare_facetarea( p1, p2 )
used by qsort() to order facets by area
*/
static int qh_compare_facetarea(const void *p1, const void *p2) {
facetT *a= *((facetT **)p1), *b= *((facetT **)p2);
if (!a->isarea)
return -1;
if (!b->isarea)
return 1;
if (a->f.area > b->f.area)
return 1;
else if (a->f.area == b->f.area)
return 0;
return -1;
} /* compare_facetarea */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="compare_facetmerge">-</a>
qh_compare_facetmerge( p1, p2 )
used by qsort() to order facets by number of merges
*/
static int qh_compare_facetmerge(const void *p1, const void *p2) {
facetT *a= *((facetT **)p1), *b= *((facetT **)p2);
return (a->nummerge - b->nummerge);
} /* compare_facetvisit */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="compare_facetvisit">-</a>
qh_compare_facetvisit( p1, p2 )
used by qsort() to order facets by visit id or id
*/
static int qh_compare_facetvisit(const void *p1, const void *p2) {
facetT *a= *((facetT **)p1), *b= *((facetT **)p2);
int i,j;
if (!(i= a->visitid))
i= - a->id; /* do not convert to int */
if (!(j= b->visitid))
j= - b->id;
return (i - j);
} /* compare_facetvisit */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="countfacets">-</a>
qh_countfacets( facetlist, facets, printall,
numfacets, numsimplicial, totneighbors, numridges, numcoplanar )
count good facets for printing and set visitid
if allfacets, ignores qh_skipfacet()
returns:
numfacets, numsimplicial, total neighbors, numridges, coplanars
each facet with ->visitid indicating 1-relative position
->visitid==0 indicates not good
notes
if qh.NEWfacets,
does not count visible facets (matches qh_printafacet)
design:
for all facets on facetlist and in facets set
unless facet is skipped or visible (i.e., will be deleted)
mark facet->visitid
update counts
*/
void qh_countfacets (facetT *facetlist, setT *facets, boolT printall,
int *numfacetsp, int *numsimplicialp, int *totneighborsp, int *numridgesp, int *numcoplanarsp) {
facetT *facet, **facetp;
int numfacets= 0, numsimplicial= 0, numridges= 0, totneighbors= 0, numcoplanars= 0;
FORALLfacet_(facetlist) {
if ((facet->visible && qh NEWfacets)
|| (!printall && qh_skipfacet(facet)))
facet->visitid= 0;
else {
facet->visitid= ++numfacets;
totneighbors += qh_setsize (facet->neighbors);
if (facet->simplicial)
numsimplicial++;
else
numridges += qh_setsize (facet->ridges);
if (facet->coplanarset)
numcoplanars += qh_setsize (facet->coplanarset);
}
}
FOREACHfacet_(facets) {
if ((facet->visible && qh NEWfacets)
|| (!printall && qh_skipfacet(facet)))
facet->visitid= 0;
else {
facet->visitid= ++numfacets;
totneighbors += qh_setsize (facet->neighbors);
if (facet->simplicial)
numsimplicial++;
else
numridges += qh_setsize (facet->ridges);
if (facet->coplanarset)
numcoplanars += qh_setsize (facet->coplanarset);
}
}
qh visit_id += numfacets+1;
*numfacetsp= numfacets;
*numsimplicialp= numsimplicial;
*totneighborsp= totneighbors;
*numridgesp= numridges;
*numcoplanarsp= numcoplanars;
} /* countfacets */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="detvnorm">-</a>
qh_detvnorm( vertex, vertexA, centers, offset )
compute separating plane of the Voronoi diagram for a pair of input sites
centers= set of facets (i.e., Voronoi vertices)
facet->visitid= 0 iff vertex-at-infinity (i.e., unbounded)
assumes:
qh_ASvoronoi and qh_vertexneighbors() already set
returns:
norm
a pointer into qh.gm_matrix to qh.hull_dim-1 reals
copy the data before reusing qh.gm_matrix
offset
if 'QVn'
sign adjusted so that qh.GOODvertexp is inside
else
sign adjusted so that vertex is inside
qh.gm_matrix= simplex of points from centers relative to first center
notes:
in io.c so that code for 'v Tv' can be removed by removing io.c
returns pointer into qh.gm_matrix to avoid tracking of temporary memory
design:
determine midpoint of input sites
build points as the set of Voronoi vertices
select a simplex from points (if necessary)
include midpoint if the Voronoi region is unbounded
relocate the first vertex of the simplex to the origin
compute the normalized hyperplane through the simplex
orient the hyperplane toward 'QVn' or 'vertex'
if 'Tv' or 'Ts'
if bounded
test that hyperplane is the perpendicular bisector of the input sites
test that Voronoi vertices not in the simplex are still on the hyperplane
free up temporary memory
*/
pointT *qh_detvnorm (vertexT *vertex, vertexT *vertexA, setT *centers, realT *offsetp) {
facetT *facet, **facetp;
int i, k, pointid, pointidA, point_i, point_n;
setT *simplex= NULL;
pointT *point, **pointp, *point0, *midpoint, *normal, *inpoint;
coordT *coord, *gmcoord, *normalp;
setT *points= qh_settemp (qh TEMPsize);
boolT nearzero= False;
boolT unbounded= False;
int numcenters= 0;
int dim= qh hull_dim - 1;
realT dist, offset, angle, zero= 0.0;
midpoint= qh gm_matrix + qh hull_dim * qh hull_dim; /* last row */
for (k= 0; k < dim; k++)
midpoint[k]= (vertex->point[k] + vertexA->point[k])/2;
FOREACHfacet_(centers) {
numcenters++;
if (!facet->visitid)
unbounded= True;
else {
if (!facet->center)
facet->center= qh_facetcenter (facet->vertices);
qh_setappend (&points, facet->center);
}
}
if (numcenters > dim) {
simplex= qh_settemp (qh TEMPsize);
qh_setappend (&simplex, vertex->point);
if (unbounded)
qh_setappend (&simplex, midpoint);
qh_maxsimplex (dim, points, NULL, 0, &simplex);
qh_setdelnth (simplex, 0);
}else if (numcenters == dim) {
if (unbounded)
qh_setappend (&points, midpoint);
simplex= points;
}else {
fprintf(qh ferr, "qh_detvnorm: too few points (%d) to compute separating plane\n", numcenters);
qh_errexit (qh_ERRqhull, NULL, NULL);
}
i= 0;
gmcoord= qh gm_matrix;
point0= SETfirstt_(simplex, pointT);
FOREACHpoint_(simplex) {
if (qh IStracing >= 4)
qh_printmatrix(qh ferr, "qh_detvnorm: Voronoi vertex or midpoint",
&point, 1, dim);
if (point != point0) {
qh gm_row[i++]= gmcoord;
coord= point0;
for (k= dim; k--; )
*(gmcoord++)= *point++ - *coord++;
}
}
qh gm_row[i]= gmcoord; /* does not overlap midpoint, may be used later for qh_areasimplex */
normal= gmcoord;
qh_sethyperplane_gauss (dim, qh gm_row, point0, True,
normal, &offset, &nearzero);
if (qh GOODvertexp == vertexA->point)
inpoint= vertexA->point;
else
inpoint= vertex->point;
zinc_(Zdistio);
dist= qh_distnorm (dim, inpoint, normal, &offset);
if (dist > 0) {
offset= -offset;
normalp= normal;
for (k= dim; k--; ) {
*normalp= -(*normalp);
normalp++;
}
}
if (qh VERIFYoutput || qh PRINTstatistics) {
pointid= qh_pointid (vertex->point);
pointidA= qh_pointid (vertexA->point);
if (!unbounded) {
zinc_(Zdiststat);
dist= qh_distnorm (dim, midpoint, normal, &offset);
if (dist < 0)
dist= -dist;
zzinc_(Zridgemid);
wwmax_(Wridgemidmax, dist);
wwadd_(Wridgemid, dist);
trace4((qh ferr, "qh_detvnorm: points %d %d midpoint dist %2.2g\n",
pointid, pointidA, dist));
for (k= 0; k < dim; k++)
midpoint[k]= vertexA->point[k] - vertex->point[k]; /* overwrites midpoint! */
qh_normalize (midpoint, dim, False);
angle= qh_distnorm (dim, midpoint, normal, &zero); /* qh_detangle uses dim+1 */
if (angle < 0.0)
angle= angle + 1.0;
else
angle= angle - 1.0;
if (angle < 0.0)
angle -= angle;
trace4((qh ferr, "qh_detvnorm: points %d %d angle %2.2g nearzero %d\n",
pointid, pointidA, angle, nearzero));
if (nearzero) {
zzinc_(Zridge0);
wwmax_(Wridge0max, angle);
wwadd_(Wridge0, angle);
}else {
zzinc_(Zridgeok)
wwmax_(Wridgeokmax, angle);
wwadd_(Wridgeok, angle);
}
}
if (simplex != points) {
FOREACHpoint_i_(points) {
if (!qh_setin (simplex, point)) {
facet= SETelemt_(centers, point_i, facetT);
zinc_(Zdiststat);
dist= qh_distnorm (dim, point, normal, &offset);
if (dist < 0)
dist= -dist;
zzinc_(Zridge);
wwmax_(Wridgemax, dist);
wwadd_(Wridge, dist);
trace4((qh ferr, "qh_detvnorm: points %d %d Voronoi vertex %d dist %2.2g\n",
pointid, pointidA, facet->visitid, dist));
}
}
}
}
*offsetp= offset;
if (simplex != points)
qh_settempfree (&simplex);
qh_settempfree (&points);
return normal;
} /* detvnorm */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="detvridge">-</a>
qh_detvridge( vertexA )
determine Voronoi ridge from 'seen' neighbors of vertexA
include one vertex-at-infinite if an !neighbor->visitid
returns:
temporary set of centers (facets, i.e., Voronoi vertices)
sorted by center id
*/
setT *qh_detvridge (vertexT *vertex) {
setT *centers= qh_settemp (qh TEMPsize);
facetT *neighbor, **neighborp;
boolT firstinf= True;
FOREACHneighbor_(vertex) {
if (neighbor->seen) {
if (neighbor->visitid)
qh_setappend (¢ers, neighbor);
else if (firstinf) {
firstinf= False;
qh_setappend (¢ers, neighbor);
}
}
}
qsort (SETaddr_(centers, facetT), qh_setsize (centers),
sizeof (facetT *), qh_compare_facetvisit);
return centers;
} /* detvridge */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="detvridge3">-</a>
qh_detvridge3( atvertex, vertex )
determine 3-d Voronoi ridge from 'seen' neighbors of atvertex and vertex
include one vertex-at-infinite for !neighbor->visitid
assumes all facet->seen2= True
returns:
temporary set of centers (facets, i.e., Voronoi vertices)
listed in adjacency order (not oriented)
all facet->seen2= True
design:
mark all neighbors of atvertex
for each adjacent neighbor of both atvertex and vertex
if neighbor selected
add neighbor to set of Voronoi vertices
*/
setT *qh_detvridge3 (vertexT *atvertex, vertexT *vertex) {
setT *centers= qh_settemp (qh TEMPsize);
facetT *neighbor, **neighborp, *facet= NULL;
boolT firstinf= True;
FOREACHneighbor_(atvertex)
neighbor->seen2= False;
FOREACHneighbor_(vertex) {
if (!neighbor->seen2) {
facet= neighbor;
break;
}
}
while (facet) {
facet->seen2= True;
if (neighbor->seen) {
if (facet->visitid)
qh_setappend (¢ers, facet);
else if (firstinf) {
firstinf= False;
qh_setappend (¢ers, facet);
}
}
FOREACHneighbor_(facet) {
if (!neighbor->seen2) {
if (qh_setin (vertex->neighbors, neighbor))
break;
else
neighbor->seen2= True;
}
}
facet= neighbor;
}
if (qh CHECKfrequently) {
FOREACHneighbor_(vertex) {
if (!neighbor->seen2) {
fprintf (stderr, "qh_detvridge3: neigbors of vertex p%d are not connected at facet %d\n",
qh_pointid (vertex->point), neighbor->id);
qh_errexit (qh_ERRqhull, neighbor, NULL);
}
}
}
FOREACHneighbor_(atvertex)
neighbor->seen2= True;
return centers;
} /* detvridge3 */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="eachvoronoi">-</a>
qh_eachvoronoi( fp, printvridge, vertex, visitall, innerouter, inorder )
if visitall,
visit all Voronoi ridges for vertex (i.e., an input site)
else
visit all unvisited Voronoi ridges for vertex
all vertex->seen= False if unvisited
assumes
all facet->seen= False
all facet->seen2= True (for qh_detvridge3)
all facet->visitid == 0 if vertex_at_infinity
== index of Voronoi vertex
>= qh.num_facets if ignored
innerouter:
qh_RIDGEall-- both inner (bounded) and outer (unbounded) ridges
qh_RIDGEinner- only inner
qh_RIDGEouter- only outer
if inorder
orders vertices for 3-d Voronoi diagrams
returns:
number of visited ridges (does not include previously visited ridges)
if printvridge,
calls printvridge( fp, vertex, vertexA, centers)
fp== any pointer (assumes FILE*)
vertex,vertexA= pair of input sites that define a Voronoi ridge
centers= set of facets (i.e., Voronoi vertices)
->visitid == index or 0 if vertex_at_infinity
ordered for 3-d Voronoi diagram
notes:
uses qh.vertex_visit
see:
qh_eachvoronoi_all()
design:
mark selected neighbors of atvertex
for each selected neighbor (either Voronoi vertex or vertex-at-infinity)
for each unvisited vertex
if atvertex and vertex share more than d-1 neighbors
bump totalcount
if printvridge defined
build the set of shared neighbors (i.e., Voronoi vertices)
call printvridge
*/
int qh_eachvoronoi (FILE *fp, printvridgeT printvridge, vertexT *atvertex, boolT visitall, qh_RIDGE innerouter, boolT inorder) {
boolT unbounded;
int count;
facetT *neighbor, **neighborp, *neighborA, **neighborAp;
setT *centers;
vertexT *vertex, **vertexp;
boolT firstinf;
unsigned int numfacets= (unsigned int)qh num_facets;
int totridges= 0;
qh vertex_visit++;
atvertex->seen= True;
if (visitall) {
FORALLvertices
vertex->seen= False;
}
FOREACHneighbor_(atvertex) {
if (neighbor->visitid < numfacets)
neighbor->seen= True;
}
FOREACHneighbor_(atvertex) {
if (neighbor->seen) {
FOREACHvertex_(neighbor->vertices) {
if (vertex->visitid != qh vertex_visit && !vertex->seen) {
vertex->visitid= qh vertex_visit;
count= 0;
firstinf= True;
FOREACHneighborA_(vertex) {
if (neighborA->seen) {
if (neighborA->visitid)
count++;
else if (firstinf) {
count++;
firstinf= False;
}
}
}
if (count >= qh hull_dim - 1) { /* e.g., 3 for 3-d Voronoi */
if (firstinf) {
if (innerouter == qh_RIDGEouter)
continue;
unbounded= False;
}else {
if (innerouter == qh_RIDGEinner)
continue;
unbounded= True;
}
totridges++;
trace4((qh ferr, "qh_eachvoronoi: Voronoi ridge of %d vertices between sites %d and %d\n",
count, qh_pointid (atvertex->point), qh_pointid (vertex->point)));
if (printvridge) {
if (inorder && qh hull_dim == 3+1) /* 3-d Voronoi diagram */
centers= qh_detvridge3 (atvertex, vertex);
else
centers= qh_detvridge (vertex);
(*printvridge) (fp, atvertex, vertex, centers, unbounded);
qh_settempfree (¢ers);
}
}
}
}
}
}
FOREACHneighbor_(atvertex)
neighbor->seen= False;
return totridges;
} /* eachvoronoi */
/*-<a href="qh-c.htm#poly"
>-------------------------------</a><a name="eachvoronoi_all">-</a>
qh_eachvoronoi_all( fp, printvridge, isupper, innerouter, inorder )
visit all Voronoi ridges
innerouter:
see qh_eachvoronoi()
if inorder
orders vertices for 3-d Voronoi diagrams
returns
total number of ridges
if isupper == facet->upperdelaunay (i.e., a Vornoi vertex)
facet->visitid= Voronoi vertex index (same as 'o' format)
else
facet->visitid= 0
if printvridge,
calls printvridge( fp, vertex, vertexA, centers)
[see qh_eachvoronoi]
notes:
same effect as qh_printvdiagram but ridges not sorted by point id
*/
int qh_eachvoronoi_all (FILE *fp, printvridgeT printvridge, boolT isupper, qh_RIDGE innerouter, boolT inorder) {
facetT *facet;
vertexT *vertex;
int numcenters= 1; /* vertex 0 is vertex-at-infinity */
int totridges= 0;
qh_clearcenters (qh_ASvoronoi);
qh_vertexneighbors();
maximize_(qh visit_id, (unsigned) qh num_facets);
FORALLfacets {
facet->visitid= 0;
facet->seen= False;
facet->seen2= True;
}
FORALLfacets {
if (facet->upperdelaunay == isupper)
facet->visitid= numcenters++;
}
FORALLvertices
vertex->seen= False;
FORALLvertices
totridges += qh_eachvoronoi (fp, printvridge, vertex,
!qh_ALL, innerouter, inorder);
return totridges;
} /* eachvoronoi_all */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="facet2point">-</a>
qh_facet2point( facet, point0, point1, mindist )
return two projected temporary vertices for a 2-d facet
may be non-simplicial
returns:
point0 and point1 oriented and projected to the facet
returns mindist (maximum distance below plane)
*/
void qh_facet2point(facetT *facet, pointT **point0, pointT **point1, realT *mindist) {
vertexT *vertex0, *vertex1;
realT dist;
if (facet->toporient ^ qh_ORIENTclock) {
vertex0= SETfirstt_(facet->vertices, vertexT);
vertex1= SETsecondt_(facet->vertices, vertexT);
}else {
vertex1= SETfirstt_(facet->vertices, vertexT);
vertex0= SETsecondt_(facet->vertices, vertexT);
}
zadd_(Zdistio, 2);
qh_distplane(vertex0->point, facet, &dist);
*mindist= dist;
*point0= qh_projectpoint(vertex0->point, facet, dist);
qh_distplane(vertex1->point, facet, &dist);
minimize_(*mindist, dist);
*point1= qh_projectpoint(vertex1->point, facet, dist);
} /* facet2point */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="facetvertices">-</a>
qh_facetvertices( facetlist, facets, allfacets )
returns temporary set of vertices in a set and/or list of facets
if allfacets, ignores qh_skipfacet()
returns:
vertices with qh.vertex_visit
notes:
optimized for allfacets of facet_list
design:
if allfacets of facet_list
create vertex set from vertex_list
else
for each selected facet in facets or facetlist
append unvisited vertices to vertex set
*/
setT *qh_facetvertices (facetT *facetlist, setT *facets, boolT allfacets) {
setT *vertices;
facetT *facet, **facetp;
vertexT *vertex, **vertexp;
qh vertex_visit++;
if (facetlist == qh facet_list && allfacets && !facets) {
vertices= qh_settemp (qh num_vertices);
FORALLvertices {
vertex->visitid= qh vertex_visit;
qh_setappend (&vertices, vertex);
}
}else {
vertices= qh_settemp (qh TEMPsize);
FORALLfacet_(facetlist) {
if (!allfacets && qh_skipfacet (facet))
continue;
FOREACHvertex_(facet->vertices) {
if (vertex->visitid != qh vertex_visit) {
vertex->visitid= qh vertex_visit;
qh_setappend (&vertices, vertex);
}
}
}
}
FOREACHfacet_(facets) {
if (!allfacets && qh_skipfacet (facet))
continue;
FOREACHvertex_(facet->vertices) {
if (vertex->visitid != qh vertex_visit) {
vertex->visitid= qh vertex_visit;
qh_setappend (&vertices, vertex);
}
}
}
return vertices;
} /* facetvertices */
/*-<a href="qh-c.htm#geom"
>-------------------------------</a><a name="geomplanes">-</a>
qh_geomplanes( facet, outerplane, innerplane )
return outer and inner planes for Geomview
qh.PRINTradius is size of vertices and points (includes qh.JOGGLEmax)
notes:
assume precise calculations in io.c with roundoff covered by qh_GEOMepsilon
*/
void qh_geomplanes (facetT *facet, realT *outerplane, realT *innerplane) {
realT radius;
if (qh MERGING || qh JOGGLEmax < REALmax/2) {
qh_outerinner (facet, outerplane, innerplane);
radius= qh PRINTradius;
if (qh JOGGLEmax < REALmax/2)
radius -= qh JOGGLEmax * sqrt (qh hull_dim); /* already accounted for in qh_outerinner() */
*outerplane += radius;
*innerplane -= radius;
if (qh PRINTcoplanar || qh PRINTspheres) {
*outerplane += qh MAXabs_coord * qh_GEOMepsilon;
*innerplane -= qh MAXabs_coord * qh_GEOMepsilon;
}
}else
*innerplane= *outerplane= 0;
} /* geomplanes */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="markkeep">-</a>
qh_markkeep( facetlist )
mark good facets that meet qh.KEEParea, qh.KEEPmerge, and qh.KEEPminArea
ignores visible facets (not part of convex hull)
returns:
may clear facet->good
recomputes qh.num_good
design:
get set of good facets
if qh.KEEParea
sort facets by area
clear facet->good for all but n largest facets
if qh.KEEPmerge
sort facets by merge count
clear facet->good for all but n most merged facets
if qh.KEEPminarea
clear facet->good if area too small
update qh.num_good
*/
void qh_markkeep (facetT *facetlist) {
facetT *facet, **facetp;
setT *facets= qh_settemp (qh num_facets);
int size, count;
trace2((qh ferr, "qh_markkeep: only keep %d largest and/or %d most merged facets and/or min area %.2g\n",
qh KEEParea, qh KEEPmerge, qh KEEPminArea));
FORALLfacet_(facetlist) {
if (!facet->visible && facet->good)
qh_setappend (&facets, facet);
}
size= qh_setsize (facets);
if (qh KEEParea) {
qsort (SETaddr_(facets, facetT), size,
sizeof (facetT *), qh_compare_facetarea);
if ((count= size - qh KEEParea) > 0) {
FOREACHfacet_(facets) {
facet->good= False;
if (--count == 0)
break;
}
}
}
if (qh KEEPmerge) {
qsort (SETaddr_(facets, facetT), size,
sizeof (facetT *), qh_compare_facetmerge);
if ((count= size - qh KEEPmerge) > 0) {
FOREACHfacet_(facets) {
facet->good= False;
if (--count == 0)
break;
}
}
}
if (qh KEEPminArea < REALmax/2) {
FOREACHfacet_(facets) {
if (!facet->isarea || facet->f.area < qh KEEPminArea)
facet->good= False;
}
}
qh_settempfree (&facets);
count= 0;
FORALLfacet_(facetlist) {
if (facet->good)
count++;
}
qh num_good= count;
} /* markkeep */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="markvoronoi">-</a>
qh_markvoronoi( facetlist, facets, printall, islower, numcenters )
mark voronoi vertices for printing by site pairs
returns:
temporary set of vertices indexed by pointid
islower set if printing lower hull (i.e., at least one facet is lower hull)
numcenters= total number of Voronoi vertices
bumps qh.printoutnum for vertex-at-infinity
clears all facet->seen and sets facet->seen2
if selected
facet->visitid= Voronoi vertex id
else if upper hull (or 'Qu' and lower hull)
facet->visitid= 0
else
facet->visitid >= qh num_facets
notes:
ignores qh ATinfinity, if defined
*/
setT *qh_markvoronoi (facetT *facetlist, setT *facets, boolT printall, boolT *islowerp, int *numcentersp) {
int numcenters=0;
facetT *facet, **facetp;
setT *vertices;
boolT islower= False;
qh printoutnum++;
qh_clearcenters (qh_ASvoronoi); /* in case, qh_printvdiagram2 called by user */
qh_vertexneighbors();
vertices= qh_pointvertex();
if (qh ATinfinity)
SETelem_(vertices, qh num_points-1)= NULL;
qh visit_id++;
maximize_(qh visit_id, (unsigned) qh num_facets);
FORALLfacet_(facetlist) { /* FIXUP: could merge with below */
if (printall || !qh_skipfacet (facet)) {
if (!facet->upperdelaunay) {
islower= True;
break;
}
}
}
FOREACHfacet_(facets) {
if (printall || !qh_skipfacet (facet)) {
if (!facet->upperdelaunay) {
islower= True;
break;
}
}
}
FORALLfacets {
if (facet->normal && (facet->upperdelaunay == islower))
facet->visitid= 0; /* facetlist or facets may overwrite */
else
facet->visitid= qh visit_id;
facet->seen= False;
facet->seen2= True;
}
numcenters++; /* qh_INFINITE */
FORALLfacet_(facetlist) {
if (printall || !qh_skipfacet (facet))
facet->visitid= numcenters++;
}
FOREACHfacet_(facets) {
if (printall || !qh_skipfacet (facet))
facet->visitid= numcenters++;
}
*islowerp= islower;
*numcentersp= numcenters;
trace2((qh ferr, "qh_markvoronoi: islower %d numcenters %d\n", islower, numcenters));
return vertices;
} /* markvoronoi */
/*-<a href="qh-c.htm#io"
>-------------------------------</a><a name="order_vertexneighbors">-</a>
qh_order_vertexneighbors( vertex )
order facet neighbors of a 2-d or 3-d vertex by adjacency
notes:
does not orient the neighbors
design:
initialize a new neighbor set with the first facet in vertex->neighbors
while vertex->neighbors non-empty
select next neighbor in the previous facet's neighbor set
set vertex->neighbors to the new neighbor set
*/
void qh_order_vertexneighbors(vertexT *vertex) {
setT *newset;
facetT *facet, *neighbor, **neighborp;
trace4((qh ferr, "qh_order_vertexneighbors: order neighbors of v%d for 3-d\n", vertex->id));
newset= qh_settemp (qh_setsize (vertex->neighbors));
facet= (facetT*)qh_setdellast (vertex->neighbors);
qh_setappend (&newset, facet);
while (qh_setsize (vertex->neighbors)) {
FOREACHneighbor_(vertex) {
if (qh_setin (facet->neighbors, neighbor)) {
qh_setdel(vertex->neighbors, neighbor);
qh_setappend (&newset, neighbor);
facet= neighbor;
break;
}
}
if (!neighbor) {
fprintf (qh ferr, "qhull internal error (qh_order_vertexneighbors): no neighbor of v%d for f%d\n",
vertex->id, facet->id);
qh_errexit (qh_ERRqhull, facet, NULL);
}
}
qh_setfree (&vertex->neighbors);
qh_settemppop ();
vertex->neighbors= newset;
} /* order_vertexneighbors */