📄 render.c
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* grouped into a triangle fan or strip.
*/
GLUhalfEdge *e;
int newState;
int edgeState = -1; /* force edge state output for first vertex */
CALL_BEGIN_OR_BEGIN_DATA( GL_TRIANGLES );
for( ; f != NULL; f = f->trail ) {
/* Loop once for each edge (there will always be 3 edges) */
e = f->anEdge;
do {
if( tess->flagBoundary ) {
/* Set the "edge state" to TRUE just before we output the
* first vertex of each edge on the polygon boundary.
*/
newState = ! e->Rface->inside;
if( edgeState != newState ) {
edgeState = newState;
CALL_EDGE_FLAG_OR_EDGE_FLAG_DATA( edgeState );
}
}
CALL_VERTEX_OR_VERTEX_DATA( e->Org->data );
e = e->Lnext;
} while( e != f->anEdge );
}
CALL_END_OR_END_DATA();
}
static void RenderFan( GLUtesselator *tess, GLUhalfEdge *e, long size )
{
/* Render as many CCW triangles as possible in a fan starting from
* edge "e". The fan *should* contain exactly "size" triangles
* (otherwise we've goofed up somewhere).
*/
CALL_BEGIN_OR_BEGIN_DATA( GL_TRIANGLE_FAN );
CALL_VERTEX_OR_VERTEX_DATA( e->Org->data );
CALL_VERTEX_OR_VERTEX_DATA( e->Dst->data );
while( ! Marked( e->Lface )) {
e->Lface->marked = TRUE;
--size;
e = e->Onext;
CALL_VERTEX_OR_VERTEX_DATA( e->Dst->data );
}
assert( size == 0 );
CALL_END_OR_END_DATA();
}
static void RenderStrip( GLUtesselator *tess, GLUhalfEdge *e, long size )
{
/* Render as many CCW triangles as possible in a strip starting from
* edge "e". The strip *should* contain exactly "size" triangles
* (otherwise we've goofed up somewhere).
*/
CALL_BEGIN_OR_BEGIN_DATA( GL_TRIANGLE_STRIP );
CALL_VERTEX_OR_VERTEX_DATA( e->Org->data );
CALL_VERTEX_OR_VERTEX_DATA( e->Dst->data );
while( ! Marked( e->Lface )) {
e->Lface->marked = TRUE;
--size;
e = e->Dprev;
CALL_VERTEX_OR_VERTEX_DATA( e->Org->data );
if( Marked( e->Lface )) break;
e->Lface->marked = TRUE;
--size;
e = e->Onext;
CALL_VERTEX_OR_VERTEX_DATA( e->Dst->data );
}
assert( size == 0 );
CALL_END_OR_END_DATA();
}
/************************ Boundary contour decomposition ******************/
/* __gl_renderBoundary( tess, mesh ) takes a mesh, and outputs one
* contour for each face marked "inside". The rendering output is
* provided as callbacks (see the api).
*/
void __gl_renderBoundary( GLUtesselator *tess, GLUmesh *mesh )
{
GLUface *f;
GLUhalfEdge *e;
for( f = mesh->fHead.next; f != &mesh->fHead; f = f->next ) {
if( f->inside ) {
CALL_BEGIN_OR_BEGIN_DATA( GL_LINE_LOOP );
e = f->anEdge;
do {
CALL_VERTEX_OR_VERTEX_DATA( e->Org->data );
e = e->Lnext;
} while( e != f->anEdge );
CALL_END_OR_END_DATA();
}
}
}
/************************ Quick-and-dirty decomposition ******************/
#define SIGN_INCONSISTENT 2
static int ComputeNormal( GLUtesselator *tess, GLdouble norm[3], int check )
/*
* If check==FALSE, we compute the polygon normal and place it in norm[].
* If check==TRUE, we check that each triangle in the fan from v0 has a
* consistent orientation with respect to norm[]. If triangles are
* consistently oriented CCW, return 1; if CW, return -1; if all triangles
* are degenerate return 0; otherwise (no consistent orientation) return
* SIGN_INCONSISTENT.
*/
{
CachedVertex *v0 = tess->cache;
CachedVertex *vn = v0 + tess->cacheCount;
CachedVertex *vc;
GLdouble dot, xc, yc, zc, xp, yp, zp, n[3];
int sign = 0;
/* Find the polygon normal. It is important to get a reasonable
* normal even when the polygon is self-intersecting (eg. a bowtie).
* Otherwise, the computed normal could be very tiny, but perpendicular
* to the true plane of the polygon due to numerical noise. Then all
* the triangles would appear to be degenerate and we would incorrectly
* decompose the polygon as a fan (or simply not render it at all).
*
* We use a sum-of-triangles normal algorithm rather than the more
* efficient sum-of-trapezoids method (used in CheckOrientation()
* in normal.c). This lets us explicitly reverse the signed area
* of some triangles to get a reasonable normal in the self-intersecting
* case.
*/
if( ! check ) {
norm[0] = norm[1] = norm[2] = 0.0;
}
vc = v0 + 1;
xc = vc->coords[0] - v0->coords[0];
yc = vc->coords[1] - v0->coords[1];
zc = vc->coords[2] - v0->coords[2];
while( ++vc < vn ) {
xp = xc; yp = yc; zp = zc;
xc = vc->coords[0] - v0->coords[0];
yc = vc->coords[1] - v0->coords[1];
zc = vc->coords[2] - v0->coords[2];
/* Compute (vp - v0) cross (vc - v0) */
n[0] = yp*zc - zp*yc;
n[1] = zp*xc - xp*zc;
n[2] = xp*yc - yp*xc;
dot = n[0]*norm[0] + n[1]*norm[1] + n[2]*norm[2];
if( ! check ) {
/* Reverse the contribution of back-facing triangles to get
* a reasonable normal for self-intersecting polygons (see above)
*/
if( dot >= 0 ) {
norm[0] += n[0]; norm[1] += n[1]; norm[2] += n[2];
} else {
norm[0] -= n[0]; norm[1] -= n[1]; norm[2] -= n[2];
}
} else if( dot != 0 ) {
/* Check the new orientation for consistency with previous triangles */
if( dot > 0 ) {
if( sign < 0 ) return SIGN_INCONSISTENT;
sign = 1;
} else {
if( sign > 0 ) return SIGN_INCONSISTENT;
sign = -1;
}
}
}
return sign;
}
/* __gl_renderCache( tess ) takes a single contour and tries to render it
* as a triangle fan. This handles convex polygons, as well as some
* non-convex polygons if we get lucky.
*
* Returns TRUE if the polygon was successfully rendered. The rendering
* output is provided as callbacks (see the api).
*/
GLboolean __gl_renderCache( GLUtesselator *tess )
{
CachedVertex *v0 = tess->cache;
CachedVertex *vn = v0 + tess->cacheCount;
CachedVertex *vc;
GLdouble norm[3];
int sign;
if( tess->cacheCount < 3 ) {
/* Degenerate contour -- no output */
return TRUE;
}
norm[0] = tess->normal[0];
norm[1] = tess->normal[1];
norm[2] = tess->normal[2];
if( norm[0] == 0 && norm[1] == 0 && norm[2] == 0 ) {
ComputeNormal( tess, norm, FALSE );
}
sign = ComputeNormal( tess, norm, TRUE );
if( sign == SIGN_INCONSISTENT ) {
/* Fan triangles did not have a consistent orientation */
return FALSE;
}
if( sign == 0 ) {
/* All triangles were degenerate */
return TRUE;
}
/* Make sure we do the right thing for each winding rule */
switch( tess->windingRule ) {
case GLU_TESS_WINDING_ODD:
case GLU_TESS_WINDING_NONZERO:
break;
case GLU_TESS_WINDING_POSITIVE:
if( sign < 0 ) return TRUE;
break;
case GLU_TESS_WINDING_NEGATIVE:
if( sign > 0 ) return TRUE;
break;
case GLU_TESS_WINDING_ABS_GEQ_TWO:
return TRUE;
}
CALL_BEGIN_OR_BEGIN_DATA( tess->boundaryOnly ? GL_LINE_LOOP
: (tess->cacheCount > 3) ? GL_TRIANGLE_FAN
: GL_TRIANGLES );
CALL_VERTEX_OR_VERTEX_DATA( v0->data );
if( sign > 0 ) {
for( vc = v0+1; vc < vn; ++vc ) {
CALL_VERTEX_OR_VERTEX_DATA( vc->data );
}
} else {
for( vc = vn-1; vc > v0; --vc ) {
CALL_VERTEX_OR_VERTEX_DATA( vc->data );
}
}
CALL_END_OR_END_DATA();
return TRUE;
}
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