static void cartesian_grid_triangulate (CartesianGrid * g,
GtsSurface * s)
{
gint i, j;
GtsVertex *** v;
g_return_if_fail (g != NULL);
g_return_if_fail (s != NULL);
v = g->vertices;
for (i = 0; i < g->nx - 1; i++)
for (j = 0; j < g->ny - 1; j++)
if (v[i][j]) {
if (v[i][j+1]) {
if (v[i+1][j+1]) {
GtsEdge * e1 = new_edge (v[i][j+1], v[i][j]);
GtsEdge * e2 =
gts_edge_new (GTS_EDGE_CLASS (gts_constraint_class ()),
v[i][j], v[i+1][j+1]);
GtsEdge * e3 = new_edge (v[i+1][j+1], v[i][j+1]);
gts_surface_add_face (s, gts_face_new (s->face_class, e1, e2, e3));
if (v[i+1][j]) {
e1 = new_edge (v[i+1][j], v[i+1][j+1]);
e3 = new_edge (v[i][j], v[i+1][j]);
gts_surface_add_face (s,
gts_face_new (s->face_class, e1, e2, e3));
}
}
else if (v[i+1][j]) {
GtsEdge * e1 = new_edge (v[i][j+1], v[i][j]);
GtsEdge * e2 = new_edge (v[i][j], v[i+1][j]);
GtsEdge * e3 =
gts_edge_new (GTS_EDGE_CLASS (gts_constraint_class ()),
v[i+1][j], v[i][j+1]);
gts_surface_add_face (s, gts_face_new (s->face_class, e1, e2, e3));
}
}
else if (v[i+1][j] && v[i+1][j+1]) {
GtsEdge * e1 = new_edge (v[i][j], v[i+1][j]);
GtsEdge * e2 = new_edge (v[i+1][j], v[i+1][j+1]);
GtsEdge * e3 =
gts_edge_new (GTS_EDGE_CLASS (gts_constraint_class ()),
v[i+1][j+1], v[i][j]);
gts_surface_add_face (s, gts_face_new (s->face_class, e1, e2, e3));
}
}
else if (v[i][j+1] && v[i+1][j+1] && v[i+1][j]) {
GtsEdge * e1 = new_edge (v[i+1][j], v[i+1][j+1]);
GtsEdge * e2 = new_edge (v[i+1][j+1], v[i][j+1]);
GtsEdge * e3 =
gts_edge_new (GTS_EDGE_CLASS (gts_constraint_class ()),
v[i][j+1], v[i+1][j]);
gts_surface_add_face (s, gts_face_new (s->face_class, e1, e2, e3));
}
}
void ofxGtsSurface::setup(string filename) {
FILE * fptr;
GtsFile * fp;
string filePath = ofToDataPath(filename);
/* open first file */
if ((fptr = fopen (filePath.c_str(), "rt")) == NULL) {
ofLog(OF_LOG_ERROR, "Cannot open file: " + filePath);
return;
}
/* reads in first surface file */
surface = gts_surface_new(GTS_SURFACE_CLASS(gts_surface_class()),
GTS_FACE_CLASS(gts_nface_class()),
GTS_EDGE_CLASS(gts_nedge_class()),
GTS_VERTEX_CLASS(gts_nvertex_class()));
fp = gts_file_new(fptr);
if (gts_surface_read (surface, fp)) {
ofLog(OF_LOG_ERROR, filePath + " is not a valid GTS surface file");
loaded = false;
gts_object_destroy(GTS_OBJECT(surface));
} else {
ofLog(OF_LOG_NOTICE, "Gts surface file read: " + filePath);
loaded = true;
}
gts_file_destroy (fp);
fclose (fptr);
}
static GtsEdge * new_edge (GtsVertex * v1, GtsVertex * v2)
{
GtsSegment * s = gts_vertices_are_connected (v1, v2);
return s == NULL ?
gts_edge_new (GTS_EDGE_CLASS (gts_constraint_class ()), v1, v2) :
GTS_EDGE (s);
}
void ofxGtsSurface::setup() {
surface = gts_surface_new(GTS_SURFACE_CLASS(gts_surface_class()),
GTS_FACE_CLASS(gts_nface_class()),
GTS_EDGE_CLASS(gts_nedge_class()),
GTS_VERTEX_CLASS(gts_nvertex_class()));
loaded = true;
}
void ofxGtsSurface::createBoolean(ofxGtsSurface &source, ofxGtsSurface &result, BooleanOperation operation) {
result.surface = gts_surface_new(GTS_SURFACE_CLASS(gts_surface_class()),
GTS_FACE_CLASS(gts_nface_class()),
GTS_EDGE_CLASS(gts_nedge_class()),
GTS_VERTEX_CLASS(gts_nvertex_class()));
switch(operation) {
case BOOLEAN_INTERSECTION:
gts_surface_inter_boolean(si, result.surface, GTS_1_IN_2);
gts_surface_inter_boolean(si, result.surface, GTS_2_IN_1);
result.loaded = true;
break;
case BOOLEAN_UNION:
gts_surface_inter_boolean(si, result.surface, GTS_1_OUT_2);
gts_surface_inter_boolean(si, result.surface, GTS_2_OUT_1);
result.loaded = true;
break;
case BOOLEAN_DIFFERENCE:
gts_surface_inter_boolean(si, result.surface, GTS_1_OUT_2);
gts_surface_inter_boolean(si, result.surface, GTS_2_IN_1);
gts_surface_foreach_face(si->s2, (GtsFunc)gts_triangle_revert, NULL);
gts_surface_foreach_face(source.surface, (GtsFunc)gts_triangle_revert, NULL);
result.loaded = true;
break;
case BOOLEAN_REVERSE_DIFFERENCE:
// TODO: Reverse difference can cause crashes, is there a way to catch them?
gts_surface_inter_boolean(si, result.surface, GTS_2_OUT_1);
gts_surface_inter_boolean(si, result.surface, GTS_1_IN_2);
gts_surface_foreach_face(si->s1, (GtsFunc)gts_triangle_revert, NULL);
gts_surface_foreach_face(surface, (GtsFunc)gts_triangle_revert, NULL);
result.loaded = true;
break;
}
}
int main (int argc, char * argv[])
{
GPtrArray * vertices;
GtsFifo * edges;
guint i, line;
GtsTriangle * t;
GtsVertex * v1, * v2, * v3;
GtsSurface * surface;
gboolean keep_hull = TRUE;
gboolean verbose = FALSE;
gboolean add_constraints = TRUE;
gboolean remove_holes = FALSE;
gboolean check_delaunay = FALSE;
gboolean conform = FALSE;
gboolean refine = FALSE;
gboolean split_constraints = FALSE;
gboolean randomize = FALSE;
gboolean remove_duplicates = FALSE;
gint steiner_max = -1;
gdouble quality = 0., area = G_MAXDOUBLE;
int c = 0, status = 0;
const char * fname = NULL;
GTimer * timer;
/* parse options using getopt */
while (c != EOF) {
#ifdef HAVE_GETOPT_LONG
static struct option long_options[] = {
{"duplicates", no_argument, NULL, 'd'},
{"help", no_argument, NULL, 'h'},
{"verbose", no_argument, NULL, 'v'},
{"randomize", no_argument, NULL, 'r'},
{"hull", no_argument, NULL, 'b'},
{"noconst", no_argument, NULL, 'e'},
{"holes", no_argument, NULL, 'H'},
{"split", no_argument, NULL, 'S'},
{"check", no_argument, NULL, 'c'},
{"files", required_argument, NULL, 'f'},
{"conform", no_argument, NULL, 'o'},
{"steiner", required_argument, NULL, 's'},
{"quality", required_argument, NULL, 'q'},
{"area", required_argument, NULL, 'a'}
};
int option_index = 0;
switch ((c = getopt_long (argc, argv, "hvbecf:os:q:a:HSrd",
long_options, &option_index))) {
#else /* not HAVE_GETOPT_LONG */
switch ((c = getopt (argc, argv, "hvbecf:os:q:a:HSrd"))) {
#endif /* not HAVE_GETOPT_LONG */
case 'd': /* duplicates */
remove_duplicates = TRUE;
break;
case 'b': /* do not keep convex hull */
keep_hull = FALSE;
break;
case 'e': /* do not add constrained edges */
add_constraints = FALSE;
break;
case 'H': /* remove holes */
remove_holes = TRUE;
break;
case 'S': /* split constraints */
split_constraints = TRUE;
break;
case 'r': /* randomize */
randomize = TRUE;
break;
case 'c': /* check Delaunay property */
check_delaunay = TRUE;
break;
case 'f': /* generates files */
fname = optarg;
break;
case 'v': /* verbose */
verbose = TRUE;
break;
case 'o': /* conform */
conform = TRUE;
break;
case 's': /* steiner */
steiner_max = atoi (optarg);
break;
case 'q': /* quality */
conform = TRUE;
refine = TRUE;
quality = atof (optarg);
break;
case 'a': /* area */
conform = TRUE;
refine = TRUE;
area = atof (optarg);
break;
case 'h': /* help */
fprintf (stderr,
"Usage: delaunay [OPTION] < file.gts\n"
"Construct the constrained Delaunay triangulation of the input\n"
"\n"
" -b --hull do not keep convex hull\n"
" -e --noconst do not add constrained edges\n"
" -S --split split constraints (experimental)\n"
" -H --holes remove holes from the triangulation\n"
" -d --duplicates remove duplicate vertices\n"
" -r --randomize shuffle input vertex list\n"
" -c --check check Delaunay property\n"
" -f FNAME --files=FNAME generate evolution files\n"
" -o --conform generate conforming triangulation\n"
" -s N --steiner=N maximum number of Steiner points for\n"
" conforming triangulation (default is no limit)\n"
" -q Q --quality=Q Set the minimum acceptable face quality\n"
" -a A --area=A Set the maximum acceptable face area\n"
" -v --verbose print statistics about the triangulation\n"
" -h --help display this help and exit\n"
"\n"
"Reports bugs to %s\n",
GTS_MAINTAINER);
return 0; /* success */
break;
case '?': /* wrong options */
fprintf (stderr, "Try `delaunay --help' for more information.\n");
return 1; /* failure */
}
}
/* read file => two lists: vertices and constraints */
edges = gts_fifo_new ();
vertices = g_ptr_array_new ();
if (add_constraints) /* the edge class is a GtsConstraintClass */
line = read_list (vertices, edges,
GTS_EDGE_CLASS (gts_constraint_class ()),
stdin);
else /* the edge class is a "normal" edge: GtsEdgeClass */
line = read_list (vertices, edges,
gts_edge_class (),
stdin);
if (line > 0) {
fprintf (stderr, "delaunay: error in input file at line %u\n", line);
return 1;
}
timer = g_timer_new ();
g_timer_start (timer);
if (randomize)
shuffle_array (vertices);
/* create triangle enclosing all the vertices */
{
GSList * list = NULL;
for (i = 0; i < vertices->len; i++)
list = g_slist_prepend (list, g_ptr_array_index (vertices, i));
t = gts_triangle_enclosing (gts_triangle_class (), list, 100.);
g_slist_free (list);
}
gts_triangle_vertices (t, &v1, &v2, &v3);
/* create surface with one face: the enclosing triangle */
surface = gts_surface_new (gts_surface_class (),
gts_face_class (),
gts_edge_class (),
gts_vertex_class ());
gts_surface_add_face (surface, gts_face_new (gts_face_class (),
t->e1, t->e2, t->e3));
/* add vertices */
for (i = 0; i < vertices->len; i++) {
GtsVertex * v1 = g_ptr_array_index (vertices, i);
GtsVertex * v = gts_delaunay_add_vertex (surface, v1, NULL);
g_assert (v != v1);
if (v != NULL) {
if (!remove_duplicates) {
fprintf (stderr, "delaunay: duplicate vertex (%g,%g) in input file\n",
GTS_POINT (v)->x, GTS_POINT (v)->y);
return 1; /* Failure */
}
else
gts_vertex_replace (v1, v);
}
if (fname) {
static guint nf = 1;
char s[80];
FILE * fp;
g_snprintf (s, 80, "%s.%u", fname, nf++);
fp = fopen (s, "wt");
gts_surface_write_oogl (surface, fp);
fclose (fp);
if (check_delaunay && gts_delaunay_check (surface)) {
fprintf (stderr, "delaunay: triangulation is not Delaunay\n");
return 1;
}
}
}
g_ptr_array_free (vertices, TRUE);
/* add remaining constraints */
if (add_constraints)
gts_fifo_foreach (edges, (GtsFunc) add_constraint, surface);
/* destroy enclosing triangle */
gts_allow_floating_vertices = TRUE;
gts_object_destroy (GTS_OBJECT (v1));
gts_object_destroy (GTS_OBJECT (v2));
gts_object_destroy (GTS_OBJECT (v3));
gts_allow_floating_vertices = FALSE;
if (!keep_hull)
gts_delaunay_remove_hull (surface);
if (remove_holes)
delaunay_remove_holes (surface);
if (split_constraints) {
gpointer data[2];
data[0] = surface;
data[1] = edges;
gts_fifo_foreach (edges, (GtsFunc) split_constraint, data);
}
if (conform) {
guint encroached_number =
gts_delaunay_conform (surface,
steiner_max,
(GtsEncroachFunc) gts_vertex_encroaches_edge,
NULL);
if (encroached_number == 0 && refine) {
guint unrefined_number;
gpointer data[2];
data[0] = &quality;
data[1] = &area;
unrefined_number =
gts_delaunay_refine (surface,
steiner_max,
(GtsEncroachFunc) gts_vertex_encroaches_edge,
NULL,
(GtsKeyFunc) triangle_cost,
data);
if (verbose && unrefined_number > 0)
fprintf (stderr,
"delaunay: ran out of Steiner points (max: %d) during refinement\n"
"%d unrefined faces left\n",
steiner_max, unrefined_number);
}
else if (verbose && encroached_number > 0)
fprintf (stderr,
"delaunay: ran out of Steiner points (max: %d) during conforming\n"
"Delaunay triangulation: %d encroached constraints left\n",
steiner_max, encroached_number);
}
g_timer_stop (timer);
if (verbose) {
gts_surface_print_stats (surface, stderr);
fprintf (stderr, "# Triangulation time: %g s speed: %.0f vertex/s\n",
g_timer_elapsed (timer, NULL),
gts_surface_vertex_number (surface)/g_timer_elapsed (timer, NULL));
}
if (check_delaunay && gts_delaunay_check (surface)) {
fprintf (stderr, "delaunay: triangulation is not Delaunay\n");
status = 1; /* failure */
}
/* write triangulation */
gts_surface_write (surface, stdout);
return status;
}
static void gts_constraint_split (GtsConstraint * c,
GtsSurface * s,
GtsFifo * fifo)
{
GSList * i;
GtsVertex * v1, * v2;
GtsEdge * e;
g_return_if_fail (c != NULL);
g_return_if_fail (s != NULL);
v1 = GTS_SEGMENT (c)->v1;
v2 = GTS_SEGMENT (c)->v2;
e = GTS_EDGE (c);
i = e->triangles;
while (i) {
GtsFace * f = i->data;
if (GTS_IS_FACE (f) && gts_face_has_parent_surface (f, s)) {
GtsVertex * v = gts_triangle_vertex_opposite (GTS_TRIANGLE (f), e);
if (gts_point_orientation (GTS_POINT (v1),
GTS_POINT (v2),
GTS_POINT (v)) == 0.) {
GSList * j = e->triangles;
GtsFace * f1 = NULL;
GtsEdge * e1, * e2;
/* replaces edges with constraints */
gts_triangle_vertices_edges (GTS_TRIANGLE (f), e,
&v1, &v2, &v, &e, &e1, &e2);
if (!GTS_IS_CONSTRAINT (e1)) {
GtsEdge * ne1 =
gts_edge_new (GTS_EDGE_CLASS (GTS_OBJECT (c)->klass), v2, v);
gts_edge_replace (e1, ne1);
gts_object_destroy (GTS_OBJECT (e1));
e1 = ne1;
if (fifo) gts_fifo_push (fifo, e1);
}
if (!GTS_IS_CONSTRAINT (e2)) {
GtsEdge * ne2 =
gts_edge_new (GTS_EDGE_CLASS (GTS_OBJECT (c)->klass), v, v1);
gts_edge_replace (e2, ne2);
gts_object_destroy (GTS_OBJECT (e2));
e2 = ne2;
if (fifo) gts_fifo_push (fifo, e2);
}
/* look for face opposite */
while (j && !f1) {
if (GTS_IS_FACE (j->data) &&
gts_face_has_parent_surface (j->data, s))
f1 = j->data;
j = j->next;
}
if (f1) { /* c is not a boundary of s */
GtsEdge * e3, * e4, * e5;
GtsVertex * v3;
gts_triangle_vertices_edges (GTS_TRIANGLE (f1), e,
&v1, &v2, &v3, &e, &e3, &e4);
e5 = gts_edge_new (s->edge_class, v, v3);
gts_surface_add_face (s, gts_face_new (s->face_class, e5, e2, e3));
gts_surface_add_face (s, gts_face_new (s->face_class, e5, e4, e1));
gts_object_destroy (GTS_OBJECT (f1));
}
gts_object_destroy (GTS_OBJECT (f));
return;
}
}
i = i->next;
}
}
/* tri:
* Main entry point to using GTS for triangulation.
* Input is npt points with x and y coordinates stored either separately
* in x[] and y[] (sepArr != 0) or consecutively in x[] (sepArr == 0).
* Optionally, the input can include nsegs line segments, whose endpoint
* indices are supplied in segs[2*i] and segs[2*i+1] yielding a constrained
* triangulation.
*
* The return value is the corresponding gts surface, which can be queries for
* the triangles and line segments composing the triangulation.
*/
static GtsSurface*
tri(double *x, double *y, int npt, int *segs, int nsegs, int sepArr)
{
int i;
GtsSurface *surface;
GVertex **vertices = N_GNEW(npt, GVertex *);
GtsEdge **edges = N_GNEW(nsegs, GtsEdge*);
GSList *list = NULL;
GtsVertex *v1, *v2, *v3;
GtsTriangle *t;
GtsVertexClass *vcl = (GtsVertexClass *) g_vertex_class();
GtsEdgeClass *ecl = GTS_EDGE_CLASS (gts_constraint_class ());
if (sepArr) {
for (i = 0; i < npt; i++) {
GVertex *p = (GVertex *) gts_vertex_new(vcl, x[i], y[i], 0);
p->idx = i;
vertices[i] = p;
}
}
else {
for (i = 0; i < npt; i++) {
GVertex *p = (GVertex *) gts_vertex_new(vcl, x[2*i], x[2*i+1], 0);
p->idx = i;
vertices[i] = p;
}
}
/* N.B. Edges need to be created here, presumably before the
* the vertices are added to the face. In particular, they cannot
* be added created and added vi gts_delaunay_add_constraint() below.
*/
for (i = 0; i < nsegs; i++) {
edges[i] = gts_edge_new(ecl,
(GtsVertex *) (vertices[ segs[ 2 * i]]),
(GtsVertex *) (vertices[ segs[ 2 * i + 1]]));
}
for (i = 0; i < npt; i++)
list = g_slist_prepend(list, vertices[i]);
t = gts_triangle_enclosing(gts_triangle_class(), list, 100.);
g_slist_free(list);
gts_triangle_vertices(t, &v1, &v2, &v3);
surface = gts_surface_new(gts_surface_class(),
(GtsFaceClass *) g_face_class(),
gts_edge_class(),
gts_vertex_class());
gts_surface_add_face(surface, gts_face_new(gts_face_class(),
t->e1, t->e2, t->e3));
for (i = 0; i < npt; i++) {
GtsVertex *v1 = (GtsVertex *) vertices[i];
GtsVertex *v = gts_delaunay_add_vertex(surface, v1, NULL);
/* if v != NULL, it is a previously added pt with the same
* coordinates as v1, in which case we replace v1 with v
*/
if (v) {
/* agerr (AGWARN, "Duplicate point %d %d\n", i, ((GVertex*)v)->idx); */
gts_vertex_replace (v1, v);
}
}
for (i = 0; i < nsegs; i++) {
gts_delaunay_add_constraint(surface,GTS_CONSTRAINT(edges[i]));
}
/* destroy enclosing triangle */
gts_allow_floating_vertices = TRUE;
gts_allow_floating_edges = TRUE;
/*
gts_object_destroy(GTS_OBJECT(v1));
gts_object_destroy(GTS_OBJECT(v2));
gts_object_destroy(GTS_OBJECT(v3));
*/
destroy(v1);
destroy(v2);
destroy(v3);
gts_allow_floating_edges = FALSE;
gts_allow_floating_vertices = FALSE;
if (nsegs)
delaunay_remove_holes(surface);
free (edges);
free(vertices);
return surface;
}
