static void ConnectLeftDegenerate( TESStesselator *tess,
ActiveRegion *regUp, TESSvertex *vEvent )
/*
* The event vertex lies exacty on an already-processed edge or vertex.
* Adding the new vertex involves splicing it into the already-processed
* part of the mesh.
*/
{
TESShalfEdge *e, *eTopLeft, *eTopRight, *eLast;
ActiveRegion *reg;
e = regUp->eUp;
if( VertEq( e->Org, vEvent )) {
/* e->Org is an unprocessed vertex - just combine them, and wait
* for e->Org to be pulled from the queue
*/
assert( TOLERANCE_NONZERO );
SpliceMergeVertices( tess, e, vEvent->anEdge );
return;
}
if( ! VertEq( e->Dst, vEvent )) {
/* General case -- splice vEvent into edge e which passes through it */
if (tessMeshSplitEdge( tess->mesh, e->Sym ) == NULL) longjmp(tess->env,1);
if( regUp->fixUpperEdge ) {
/* This edge was fixable -- delete unused portion of original edge */
if ( !tessMeshDelete( tess->mesh, e->Onext ) ) longjmp(tess->env,1);
regUp->fixUpperEdge = FALSE;
}
if ( !tessMeshSplice( tess->mesh, vEvent->anEdge, e ) ) longjmp(tess->env,1);
SweepEvent( tess, vEvent ); /* recurse */
return;
}
/* vEvent coincides with e->Dst, which has already been processed.
* Splice in the additional right-going edges.
*/
assert( TOLERANCE_NONZERO );
regUp = TopRightRegion( regUp );
reg = RegionBelow( regUp );
eTopRight = reg->eUp->Sym;
eTopLeft = eLast = eTopRight->Onext;
if( reg->fixUpperEdge ) {
/* Here e->Dst has only a single fixable edge going right.
* We can delete it since now we have some real right-going edges.
*/
assert( eTopLeft != eTopRight ); /* there are some left edges too */
DeleteRegion( tess, reg );
if ( !tessMeshDelete( tess->mesh, eTopRight ) ) longjmp(tess->env,1);
eTopRight = eTopLeft->Oprev;
}
if ( !tessMeshSplice( tess->mesh, vEvent->anEdge, eTopRight ) ) longjmp(tess->env,1);
if( ! EdgeGoesLeft( eTopLeft )) {
/* e->Dst had no left-going edges -- indicate this to AddRightEdges() */
eTopLeft = NULL;
}
AddRightEdges( tess, regUp, eTopRight->Onext, eLast, eTopLeft, TRUE );
}
static void RemoveDegenerateEdges( TESStesselator *tess )
/*
* Remove zero-length edges, and contours with fewer than 3 vertices.
*/
{
TESShalfEdge *e, *eNext, *eLnext;
TESShalfEdge *eHead = &tess->mesh->eHead;
/*LINTED*/
for( e = eHead->next; e != eHead; e = eNext ) {
eNext = e->next;
eLnext = e->Lnext;
if( VertEq( e->Org, e->Dst ) && e->Lnext->Lnext != e ) {
/* Zero-length edge, contour has at least 3 edges */
SpliceMergeVertices( tess, eLnext, e ); /* deletes e->Org */
if ( !tessMeshDelete( tess->mesh, e ) ) longjmp(tess->env,1); /* e is a self-loop */
e = eLnext;
eLnext = e->Lnext;
}
if( eLnext->Lnext == e ) {
/* Degenerate contour (one or two edges) */
if( eLnext != e ) {
if( eLnext == eNext || eLnext == eNext->Sym ) { eNext = eNext->next; }
if ( !tessMeshDelete( tess->mesh, eLnext ) ) longjmp(tess->env,1);
}
if( e == eNext || e == eNext->Sym ) { eNext = eNext->next; }
if ( !tessMeshDelete( tess->mesh, e ) ) longjmp(tess->env,1);
}
}
}
static int CheckForRightSplice( GLUtesselator *tess, ActiveRegion *regUp )
/*
* Check the upper and lower edge of "regUp", to make sure that the
* eUp->Org is above eLo, or eLo->Org is below eUp (depending on which
* origin is leftmost).
*
* The main purpose is to splice right-going edges with the same
* dest vertex and nearly identical slopes (ie. we can't distinguish
* the slopes numerically). However the splicing can also help us
* to recover from numerical errors. For example, suppose at one
* point we checked eUp and eLo, and decided that eUp->Org is barely
* above eLo. Then later, we split eLo into two edges (eg. from
* a splice operation like this one). This can change the result of
* our test so that now eUp->Org is incident to eLo, or barely below it.
* We must correct this condition to maintain the dictionary invariants.
*
* One possibility is to check these edges for intersection again
* (ie. CheckForIntersect). This is what we do if possible. However
* CheckForIntersect requires that tess->event lies between eUp and eLo,
* so that it has something to fall back on when the intersection
* calculation gives us an unusable answer. So, for those cases where
* we can't check for intersection, this routine fixes the problem
* by just splicing the offending vertex into the other edge.
* This is a guaranteed solution, no matter how degenerate things get.
* Basically this is a combinatorial solution to a numerical problem.
*/
{
ActiveRegion *regLo = RegionBelow(regUp);
GLUhalfEdge *eUp = regUp->eUp;
GLUhalfEdge *eLo = regLo->eUp;
if( VertLeq( eUp->Org, eLo->Org )) {
if( EdgeSign( eLo->Dst, eUp->Org, eLo->Org ) > 0 ) return FALSE;
/* eUp->Org appears to be below eLo */
if( ! VertEq( eUp->Org, eLo->Org )) {
/* Splice eUp->Org into eLo */
if ( __gl_meshSplitEdge( eLo->Sym ) == NULL) longjmp(tess->env,1);
if ( !__gl_meshSplice( eUp, eLo->Oprev ) ) longjmp(tess->env,1);
regUp->dirty = regLo->dirty = TRUE;
} else if( eUp->Org != eLo->Org ) {
/* merge the two vertices, discarding eUp->Org */
pqDelete( tess->pq, eUp->Org->pqHandle ); /* __gl_pqSortDelete */
SpliceMergeVertices( tess, eLo->Oprev, eUp );
}
} else {
if( EdgeSign( eUp->Dst, eLo->Org, eUp->Org ) < 0 ) return FALSE;
/* eLo->Org appears to be above eUp, so splice eLo->Org into eUp */
regUp->dirty = TRUE;
void* valid_ptr_check = RegionAbove(regUp);//->dirty
if ( valid_ptr_check ) {
RegionAbove(regUp)->dirty = TRUE;
}
if (__gl_meshSplitEdge( eUp->Sym ) == NULL) longjmp(tess->env,1);
if ( !__gl_meshSplice( eLo->Oprev, eUp ) ) longjmp(tess->env,1);
}
return TRUE;
}
int tessComputeInterior( TESStesselator *tess )
/*
* tessComputeInterior( tess ) computes the planar arrangement specified
* by the given contours, and further subdivides this arrangement
* into regions. Each region is marked "inside" if it belongs
* to the polygon, according to the rule given by tess->windingRule.
* Each interior region is guaranteed be monotone.
*/
{
TESSvertex *v, *vNext;
/* Each vertex defines an event for our sweep line. Start by inserting
* all the vertices in a priority queue. Events are processed in
* lexicographic order, ie.
*
* e1 < e2 iff e1.x < e2.x || (e1.x == e2.x && e1.y < e2.y)
*/
RemoveDegenerateEdges( tess );
if ( !InitPriorityQ( tess ) ) return 0; /* if error */
InitEdgeDict( tess );
while( (v = (TESSvertex *)pqExtractMin( tess->pq )) != NULL ) {
for( ;; ) {
vNext = (TESSvertex *)pqMinimum( tess->pq );
if( vNext == NULL || ! VertEq( vNext, v )) break;
/* Merge together all vertices at exactly the same location.
* This is more efficient than processing them one at a time,
* simplifies the code (see ConnectLeftDegenerate), and is also
* important for correct handling of certain degenerate cases.
* For example, suppose there are two identical edges A and B
* that belong to different contours (so without this code they would
* be processed by separate sweep events). Suppose another edge C
* crosses A and B from above. When A is processed, we split it
* at its intersection point with C. However this also splits C,
* so when we insert B we may compute a slightly different
* intersection point. This might leave two edges with a small
* gap between them. This kind of error is especially obvious
* when using boundary extraction (TESS_BOUNDARY_ONLY).
*/
vNext = (TESSvertex *)pqExtractMin( tess->pq );
SpliceMergeVertices( tess, v->anEdge, vNext->anEdge );
}
SweepEvent( tess, v );
}
/* Set tess->event for debugging purposes */
tess->event = ((ActiveRegion *) dictKey( dictMin( tess->dict )))->eUp->Org;
DebugEvent( tess );
DoneEdgeDict( tess );
DonePriorityQ( tess );
if ( !RemoveDegenerateFaces( tess, tess->mesh ) ) return 0;
tessMeshCheckMesh( tess->mesh );
return 1;
}
static int CheckForLeftSplice( GLUtesselator *tess, ActiveRegion *regUp )
/*
* Check the upper and lower edge of "regUp", to make sure that the
* eUp->Dst is above eLo, or eLo->Dst is below eUp (depending on which
* destination is rightmost).
*
* Theoretically, this should always be true. However, splitting an edge
* into two pieces can change the results of previous tests. For example,
* suppose at one point we checked eUp and eLo, and decided that eUp->Dst
* is barely above eLo. Then later, we split eLo into two edges (eg. from
* a splice operation like this one). This can change the result of
* the test so that now eUp->Dst is incident to eLo, or barely below it.
* We must correct this condition to maintain the dictionary invariants
* (otherwise new edges might get inserted in the wrong place in the
* dictionary, and bad stuff will happen).
*
* We fix the problem by just splicing the offending vertex into the
* other edge.
*/
{
ActiveRegion *regLo = RegionBelow(regUp);
GLUhalfEdge *eUp = regUp->eUp;
GLUhalfEdge *eLo = regLo->eUp;
GLUhalfEdge *e;
assert( ! VertEq( eUp->Dst, eLo->Dst ));
if( VertLeq( eUp->Dst, eLo->Dst )) {
if( EdgeSign( eUp->Dst, eLo->Dst, eUp->Org ) < 0 ) return FALSE;
/* eLo->Dst is above eUp, so splice eLo->Dst into eUp */
if ( RegionAbove(regUp) ) {
RegionAbove(regUp)->dirty = TRUE;
}
regUp->dirty = TRUE;
e = __gl_meshSplitEdge( eUp );
if (e == NULL) longjmp(tess->env,1);
if ( !__gl_meshSplice( eLo->Sym, e ) ) longjmp(tess->env,1);
e->Lface->inside = regUp->inside;
} else {
if( EdgeSign( eLo->Dst, eUp->Dst, eLo->Org ) > 0 ) return FALSE;
/* eUp->Dst is below eLo, so splice eUp->Dst into eLo */
regUp->dirty = regLo->dirty = TRUE;
e = __gl_meshSplitEdge( eLo );
if (e == NULL) longjmp(tess->env,1);
if ( !__gl_meshSplice( eUp->Lnext, eLo->Sym ) ) longjmp(tess->env,1);
e->Rface->inside = regUp->inside;
}
return TRUE;
}
static void ConnectRightVertex( TESStesselator *tess, ActiveRegion *regUp,
TESShalfEdge *eBottomLeft )
/*
* Purpose: connect a "right" vertex vEvent (one where all edges go left)
* to the unprocessed portion of the mesh. Since there are no right-going
* edges, two regions (one above vEvent and one below) are being merged
* into one. "regUp" is the upper of these two regions.
*
* There are two reasons for doing this (adding a right-going edge):
* - if the two regions being merged are "inside", we must add an edge
* to keep them separated (the combined region would not be monotone).
* - in any case, we must leave some record of vEvent in the dictionary,
* so that we can merge vEvent with features that we have not seen yet.
* For example, maybe there is a vertical edge which passes just to
* the right of vEvent; we would like to splice vEvent into this edge.
*
* However, we don't want to connect vEvent to just any vertex. We don''t
* want the new edge to cross any other edges; otherwise we will create
* intersection vertices even when the input data had no self-intersections.
* (This is a bad thing; if the user's input data has no intersections,
* we don't want to generate any false intersections ourselves.)
*
* Our eventual goal is to connect vEvent to the leftmost unprocessed
* vertex of the combined region (the union of regUp and regLo).
* But because of unseen vertices with all right-going edges, and also
* new vertices which may be created by edge intersections, we don''t
* know where that leftmost unprocessed vertex is. In the meantime, we
* connect vEvent to the closest vertex of either chain, and mark the region
* as "fixUpperEdge". This flag says to delete and reconnect this edge
* to the next processed vertex on the boundary of the combined region.
* Quite possibly the vertex we connected to will turn out to be the
* closest one, in which case we won''t need to make any changes.
*/
{
TESShalfEdge *eNew;
TESShalfEdge *eTopLeft = eBottomLeft->Onext;
ActiveRegion *regLo = RegionBelow(regUp);
TESShalfEdge *eUp = regUp->eUp;
TESShalfEdge *eLo = regLo->eUp;
int degenerate = FALSE;
if( eUp->Dst != eLo->Dst ) {
(void) CheckForIntersect( tess, regUp );
}
/* Possible new degeneracies: upper or lower edge of regUp may pass
* through vEvent, or may coincide with new intersection vertex
*/
if( VertEq( eUp->Org, tess->event )) {
if ( !tessMeshSplice( tess->mesh, eTopLeft->Oprev, eUp ) ) longjmp(tess->env,1);
regUp = TopLeftRegion( tess, regUp );
if (regUp == NULL) longjmp(tess->env,1);
eTopLeft = RegionBelow( regUp )->eUp;
FinishLeftRegions( tess, RegionBelow(regUp), regLo );
degenerate = TRUE;
}
if( VertEq( eLo->Org, tess->event )) {
if ( !tessMeshSplice( tess->mesh, eBottomLeft, eLo->Oprev ) ) longjmp(tess->env,1);
eBottomLeft = FinishLeftRegions( tess, regLo, NULL );
degenerate = TRUE;
}
if( degenerate ) {
AddRightEdges( tess, regUp, eBottomLeft->Onext, eTopLeft, eTopLeft, TRUE );
return;
}
/* Non-degenerate situation -- need to add a temporary, fixable edge.
* Connect to the closer of eLo->Org, eUp->Org.
*/
if( VertLeq( eLo->Org, eUp->Org )) {
eNew = eLo->Oprev;
} else {
eNew = eUp;
}
eNew = tessMeshConnect( tess->mesh, eBottomLeft->Lprev, eNew );
if (eNew == NULL) longjmp(tess->env,1);
/* Prevent cleanup, otherwise eNew might disappear before we've even
* had a chance to mark it as a temporary edge.
*/
AddRightEdges( tess, regUp, eNew, eNew->Onext, eNew->Onext, FALSE );
eNew->Sym->activeRegion->fixUpperEdge = TRUE;
WalkDirtyRegions( tess, regUp );
}
static int CheckForIntersect( TESStesselator *tess, ActiveRegion *regUp )
/*
* Check the upper and lower edges of the given region to see if
* they intersect. If so, create the intersection and add it
* to the data structures.
*
* Returns TRUE if adding the new intersection resulted in a recursive
* call to AddRightEdges(); in this case all "dirty" regions have been
* checked for intersections, and possibly regUp has been deleted.
*/
{
ActiveRegion *regLo = RegionBelow(regUp);
TESShalfEdge *eUp = regUp->eUp;
TESShalfEdge *eLo = regLo->eUp;
TESSvertex *orgUp = eUp->Org;
TESSvertex *orgLo = eLo->Org;
TESSvertex *dstUp = eUp->Dst;
TESSvertex *dstLo = eLo->Dst;
TESSreal tMinUp, tMaxLo;
TESSvertex isect, *orgMin;
TESShalfEdge *e;
assert( ! VertEq( dstLo, dstUp ));
assert( EdgeSign( dstUp, tess->event, orgUp ) <= 0 );
assert( EdgeSign( dstLo, tess->event, orgLo ) >= 0 );
assert( orgUp != tess->event && orgLo != tess->event );
assert( ! regUp->fixUpperEdge && ! regLo->fixUpperEdge );
if( orgUp == orgLo ) return FALSE; /* right endpoints are the same */
tMinUp = MIN( orgUp->t, dstUp->t );
tMaxLo = MAX( orgLo->t, dstLo->t );
if( tMinUp > tMaxLo ) return FALSE; /* t ranges do not overlap */
if( VertLeq( orgUp, orgLo )) {
if( EdgeSign( dstLo, orgUp, orgLo ) > 0 ) return FALSE;
} else {
if( EdgeSign( dstUp, orgLo, orgUp ) < 0 ) return FALSE;
}
/* At this point the edges intersect, at least marginally */
DebugEvent( tess );
tesedgeIntersect( dstUp, orgUp, dstLo, orgLo, &isect );
/* The following properties are guaranteed: */
assert( MIN( orgUp->t, dstUp->t ) <= isect.t );
assert( isect.t <= MAX( orgLo->t, dstLo->t ));
assert( MIN( dstLo->s, dstUp->s ) <= isect.s );
assert( isect.s <= MAX( orgLo->s, orgUp->s ));
if( VertLeq( &isect, tess->event )) {
/* The intersection point lies slightly to the left of the sweep line,
* so move it until it''s slightly to the right of the sweep line.
* (If we had perfect numerical precision, this would never happen
* in the first place). The easiest and safest thing to do is
* replace the intersection by tess->event.
*/
isect.s = tess->event->s;
isect.t = tess->event->t;
}
/* Similarly, if the computed intersection lies to the right of the
* rightmost origin (which should rarely happen), it can cause
* unbelievable inefficiency on sufficiently degenerate inputs.
* (If you have the test program, try running test54.d with the
* "X zoom" option turned on).
*/
orgMin = VertLeq( orgUp, orgLo ) ? orgUp : orgLo;
if( VertLeq( orgMin, &isect )) {
isect.s = orgMin->s;
isect.t = orgMin->t;
}
if( VertEq( &isect, orgUp ) || VertEq( &isect, orgLo )) {
/* Easy case -- intersection at one of the right endpoints */
(void) CheckForRightSplice( tess, regUp );
return FALSE;
}
if( (! VertEq( dstUp, tess->event )
&& EdgeSign( dstUp, tess->event, &isect ) >= 0)
|| (! VertEq( dstLo, tess->event )
&& EdgeSign( dstLo, tess->event, &isect ) <= 0 ))
{
/* Very unusual -- the new upper or lower edge would pass on the
* wrong side of the sweep event, or through it. This can happen
* due to very small numerical errors in the intersection calculation.
*/
if( dstLo == tess->event ) {
/* Splice dstLo into eUp, and process the new region(s) */
if (tessMeshSplitEdge( tess->mesh, eUp->Sym ) == NULL) longjmp(tess->env,1);
if ( !tessMeshSplice( tess->mesh, eLo->Sym, eUp ) ) longjmp(tess->env,1);
regUp = TopLeftRegion( tess, regUp );
if (regUp == NULL) longjmp(tess->env,1);
eUp = RegionBelow(regUp)->eUp;
FinishLeftRegions( tess, RegionBelow(regUp), regLo );
AddRightEdges( tess, regUp, eUp->Oprev, eUp, eUp, TRUE );
return TRUE;
}
if( dstUp == tess->event ) {
/* Splice dstUp into eLo, and process the new region(s) */
if (tessMeshSplitEdge( tess->mesh, eLo->Sym ) == NULL) longjmp(tess->env,1);
if ( !tessMeshSplice( tess->mesh, eUp->Lnext, eLo->Oprev ) ) longjmp(tess->env,1);
regLo = regUp;
regUp = TopRightRegion( regUp );
e = RegionBelow(regUp)->eUp->Rprev;
regLo->eUp = eLo->Oprev;
eLo = FinishLeftRegions( tess, regLo, NULL );
AddRightEdges( tess, regUp, eLo->Onext, eUp->Rprev, e, TRUE );
return TRUE;
}
/* Special case: called from ConnectRightVertex. If either
* edge passes on the wrong side of tess->event, split it
* (and wait for ConnectRightVertex to splice it appropriately).
*/
if( EdgeSign( dstUp, tess->event, &isect ) >= 0 ) {
RegionAbove(regUp)->dirty = regUp->dirty = TRUE;
if (tessMeshSplitEdge( tess->mesh, eUp->Sym ) == NULL) longjmp(tess->env,1);
eUp->Org->s = tess->event->s;
eUp->Org->t = tess->event->t;
}
if( EdgeSign( dstLo, tess->event, &isect ) <= 0 ) {
regUp->dirty = regLo->dirty = TRUE;
if (tessMeshSplitEdge( tess->mesh, eLo->Sym ) == NULL) longjmp(tess->env,1);
eLo->Org->s = tess->event->s;
eLo->Org->t = tess->event->t;
}
/* leave the rest for ConnectRightVertex */
return FALSE;
}
/* General case -- split both edges, splice into new vertex.
* When we do the splice operation, the order of the arguments is
* arbitrary as far as correctness goes. However, when the operation
* creates a new face, the work done is proportional to the size of
* the new face. We expect the faces in the processed part of
* the mesh (ie. eUp->Lface) to be smaller than the faces in the
* unprocessed original contours (which will be eLo->Oprev->Lface).
*/
if (tessMeshSplitEdge( tess->mesh, eUp->Sym ) == NULL) longjmp(tess->env,1);
if (tessMeshSplitEdge( tess->mesh, eLo->Sym ) == NULL) longjmp(tess->env,1);
if ( !tessMeshSplice( tess->mesh, eLo->Oprev, eUp ) ) longjmp(tess->env,1);
eUp->Org->s = isect.s;
eUp->Org->t = isect.t;
eUp->Org->pqHandle = pqInsert( &tess->alloc, tess->pq, eUp->Org );
if (eUp->Org->pqHandle == INV_HANDLE) {
pqDeletePriorityQ( &tess->alloc, tess->pq );
tess->pq = NULL;
longjmp(tess->env,1);
}
GetIntersectData( tess, eUp->Org, orgUp, dstUp, orgLo, dstLo );
RegionAbove(regUp)->dirty = regUp->dirty = regLo->dirty = TRUE;
return FALSE;
}
