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+/*
+ * SGI FREE SOFTWARE LICENSE B (Version 2.0, Sept. 18, 2008)
+ * Copyright (C) 1991-2000 Silicon Graphics, Inc. All Rights Reserved.
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the "Software"),
+ * to deal in the Software without restriction, including without limitation
+ * the rights to use, copy, modify, merge, publish, distribute, sublicense,
+ * and/or sell copies of the Software, and to permit persons to whom the
+ * Software is furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice including the dates of first publication and
+ * either this permission notice or a reference to
+ * http://oss.sgi.com/projects/FreeB/
+ * shall be included in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
+ * SILICON GRAPHICS, INC. BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+ * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF
+ * OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ *
+ * Except as contained in this notice, the name of Silicon Graphics, Inc.
+ * shall not be used in advertising or otherwise to promote the sale, use or
+ * other dealings in this Software without prior written authorization from
+ * Silicon Graphics, Inc.
+ */
+/*
+** Author: Eric Veach, July 1994.
+**
+*/
+
+#include "gluos.h"
+#include <stdlib.h>
+#include "geom.h"
+#include "mesh.h"
+#include "tessmono.h"
+#include <assert.h>
+
+#define AddWinding(eDst,eSrc) (eDst->winding += eSrc->winding, \
+ eDst->Sym->winding += eSrc->Sym->winding)
+
+/* __gl_meshTessellateMonoRegion( face ) tessellates a monotone region
+ * (what else would it do??) The region must consist of a single
+ * loop of half-edges (see mesh.h) oriented CCW. "Monotone" in this
+ * case means that any vertical line intersects the interior of the
+ * region in a single interval.
+ *
+ * Tessellation consists of adding interior edges (actually pairs of
+ * half-edges), to split the region into non-overlapping triangles.
+ *
+ * The basic idea is explained in Preparata and Shamos (which I don''t
+ * have handy right now), although their implementation is more
+ * complicated than this one. The are two edge chains, an upper chain
+ * and a lower chain. We process all vertices from both chains in order,
+ * from right to left.
+ *
+ * The algorithm ensures that the following invariant holds after each
+ * vertex is processed: the untessellated region consists of two
+ * chains, where one chain (say the upper) is a single edge, and
+ * the other chain is concave. The left vertex of the single edge
+ * is always to the left of all vertices in the concave chain.
+ *
+ * Each step consists of adding the rightmost unprocessed vertex to one
+ * of the two chains, and forming a fan of triangles from the rightmost
+ * of two chain endpoints. Determining whether we can add each triangle
+ * to the fan is a simple orientation test. By making the fan as large
+ * as possible, we restore the invariant (check it yourself).
+ */
+int __gl_meshTessellateMonoRegion( GLUface *face )
+{
+ GLUhalfEdge *up, *lo;
+
+ /* All edges are oriented CCW around the boundary of the region.
+ * First, find the half-edge whose origin vertex is rightmost.
+ * Since the sweep goes from left to right, face->anEdge should
+ * be close to the edge we want.
+ */
+ up = face->anEdge;
+ assert( up->Lnext != up && up->Lnext->Lnext != up );
+
+ for( ; VertLeq( up->Dst, up->Org ); up = up->Lprev )
+ ;
+ for( ; VertLeq( up->Org, up->Dst ); up = up->Lnext )
+ ;
+ lo = up->Lprev;
+
+ while( up->Lnext != lo ) {
+ if( VertLeq( up->Dst, lo->Org )) {
+ /* up->Dst is on the left. It is safe to form triangles from lo->Org.
+ * The EdgeGoesLeft test guarantees progress even when some triangles
+ * are CW, given that the upper and lower chains are truly monotone.
+ */
+ while( lo->Lnext != up && (EdgeGoesLeft( lo->Lnext )
+ || EdgeSign( lo->Org, lo->Dst, lo->Lnext->Dst ) <= 0 )) {
+ GLUhalfEdge *tempHalfEdge= __gl_meshConnect( lo->Lnext, lo );
+ if (tempHalfEdge == NULL) return 0;
+ lo = tempHalfEdge->Sym;
+ }
+ lo = lo->Lprev;
+ } else {
+ /* lo->Org is on the left. We can make CCW triangles from up->Dst. */
+ while( lo->Lnext != up && (EdgeGoesRight( up->Lprev )
+ || EdgeSign( up->Dst, up->Org, up->Lprev->Org ) >= 0 )) {
+ GLUhalfEdge *tempHalfEdge= __gl_meshConnect( up, up->Lprev );
+ if (tempHalfEdge == NULL) return 0;
+ up = tempHalfEdge->Sym;
+ }
+ up = up->Lnext;
+ }
+ }
+
+ /* Now lo->Org == up->Dst == the leftmost vertex. The remaining region
+ * can be tessellated in a fan from this leftmost vertex.
+ */
+ assert( lo->Lnext != up );
+ while( lo->Lnext->Lnext != up ) {
+ GLUhalfEdge *tempHalfEdge= __gl_meshConnect( lo->Lnext, lo );
+ if (tempHalfEdge == NULL) return 0;
+ lo = tempHalfEdge->Sym;
+ }
+
+ return 1;
+}
+
+
+/* __gl_meshTessellateInterior( mesh ) tessellates each region of
+ * the mesh which is marked "inside" the polygon. Each such region
+ * must be monotone.
+ */
+int __gl_meshTessellateInterior( GLUmesh *mesh )
+{
+ GLUface *f, *next;
+
+ /*LINTED*/
+ for( f = mesh->fHead.next; f != &mesh->fHead; f = next ) {
+ /* Make sure we don''t try to tessellate the new triangles. */
+ next = f->next;
+ if( f->inside ) {
+ if ( !__gl_meshTessellateMonoRegion( f ) ) return 0;
+ }
+ }
+
+ return 1;
+}
+
+
+/* __gl_meshDiscardExterior( mesh ) zaps (ie. sets to NULL) all faces
+ * which are not marked "inside" the polygon. Since further mesh operations
+ * on NULL faces are not allowed, the main purpose is to clean up the
+ * mesh so that exterior loops are not represented in the data structure.
+ */
+void __gl_meshDiscardExterior( GLUmesh *mesh )
+{
+ GLUface *f, *next;
+
+ /*LINTED*/
+ for( f = mesh->fHead.next; f != &mesh->fHead; f = next ) {
+ /* Since f will be destroyed, save its next pointer. */
+ next = f->next;
+ if( ! f->inside ) {
+ __gl_meshZapFace( f );
+ }
+ }
+}
+
+#define MARKED_FOR_DELETION 0x7fffffff
+
+/* __gl_meshSetWindingNumber( mesh, value, keepOnlyBoundary ) resets the
+ * winding numbers on all edges so that regions marked "inside" the
+ * polygon have a winding number of "value", and regions outside
+ * have a winding number of 0.
+ *
+ * If keepOnlyBoundary is TRUE, it also deletes all edges which do not
+ * separate an interior region from an exterior one.
+ */
+int __gl_meshSetWindingNumber( GLUmesh *mesh, int value,
+ GLboolean keepOnlyBoundary )
+{
+ GLUhalfEdge *e, *eNext;
+
+ for( e = mesh->eHead.next; e != &mesh->eHead; e = eNext ) {
+ eNext = e->next;
+ if( e->Rface->inside != e->Lface->inside ) {
+
+ /* This is a boundary edge (one side is interior, one is exterior). */
+ e->winding = (e->Lface->inside) ? value : -value;
+ } else {
+
+ /* Both regions are interior, or both are exterior. */
+ if( ! keepOnlyBoundary ) {
+ e->winding = 0;
+ } else {
+ if ( !__gl_meshDelete( e ) ) return 0;
+ }
+ }
+ }
+ return 1;
+}