Triangles: ensure_edge

This commit is contained in:
Matthias Koefferlein 2023-08-15 14:05:20 +02:00
parent a2e91532c4
commit 3cc35ce3ee
5 changed files with 279 additions and 102 deletions

View File

@ -408,6 +408,17 @@ Triangle::area () const
return fabs (db::vprod (mp_e1->d (), mp_e2->d ())) * 0.5;
}
db::DBox
Triangle::bbox () const
{
db::DBox box;
for (int i = 0; i < 3; ++i) {
box += *vertex (i);
}
return box;
}
std::pair<db::DPoint, double>
Triangle::circumcircle () const
{

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@ -451,6 +451,11 @@ public:
*/
double area () const;
/**
* @brief Returns the bounding box of the triangle
*/
db::DBox bbox () const;
/**
* @brief Gets the center point and radius of the circumcircle
*/

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@ -137,9 +137,7 @@ Triangles::bbox () const
{
db::DBox box;
for (auto t = mp_triangles.begin (); t != mp_triangles.end (); ++t) {
for (int i = 0; i < 3; ++i) {
box += *t->vertex (i);
}
box += t->bbox ();
}
return box;
}
@ -1134,6 +1132,128 @@ Triangles::find_edge_for_points (const db::DPoint &p1, const db::DPoint &p2)
return 0;
}
std::vector<db::TriangleEdge *>
Triangles::ensure_edge_inner (db::Vertex *from, db::Vertex *to)
{
auto crossed_edges = search_edges_crossing (from, to);
std::vector<db::TriangleEdge *> result;
if (crossed_edges.empty ()) {
// no crossing edge - there should be a edge already
db::TriangleEdge *res = find_edge_for_points (*from, *to);
tl_assert (res != 0);
result.push_back (res);
} else if (crossed_edges.size () == 1) {
// can be solved by flipping
auto pp = flip (crossed_edges.front ());
db::TriangleEdge *res = pp.second;
tl_assert (res->has_vertex (from) && res->has_vertex (to));
result.push_back (res);
} else {
// split edge close to center
db::DPoint split_point;
double d = -1.0;
double l_half = 0.25 * (*to - *from).sq_length ();
for (auto e = crossed_edges.begin (); e != crossed_edges.end (); ++e) {
db::DPoint p = (*e)->intersection_point (db::DEdge (*from, *to));
double dp = fabs ((p - *from).sq_length () - l_half);
if (d < 0.0 || dp < d) {
dp = d;
split_point = p;
}
}
db::Vertex *split_vertex = insert_point (split_point);
result = ensure_edge_inner (from, split_vertex);
auto result2 = ensure_edge_inner (split_vertex, to);
result.insert (result.end (), result2.begin (), result2.end ());
}
return result;
}
std::vector<db::TriangleEdge *>
Triangles::ensure_edge (db::Vertex *from, db::Vertex *to)
{
#if 0
// NOTE: this should not be required if the original segments are non-overlapping
// TODO: this is inefficient
for v in self.vertexes:
if edge.point_on(v):
return self.ensure_edge(Edge(edge.p1, v)) + self.ensure_edge(Edge(v, edge.p2))
#endif
auto edges = ensure_edge_inner (from, to);
for (auto e = edges.begin (); e != edges.end (); ++e) {
// mark the edges as fixed "forever" so we don't modify them when we ensure other edges
(*e)->set_level (std::numeric_limits<size_t>::max ());
}
return edges;
}
void
Triangles::join_edges (std::vector<db::TriangleEdge *> &edges)
{
// edges are supposed to be ordered
for (size_t i = 1; i < edges.size (); ) {
db::TriangleEdge *s1 = edges [i - 1];
db::TriangleEdge *s2 = edges [i];
tl_assert (s1->is_segment () == s2->is_segment ());
db::Vertex *cp = s1->common_vertex (s2);
tl_assert (cp != 0);
std::vector<db::TriangleEdge *> join_edges;
for (auto e = cp->begin_edges (); e != cp->end_edges (); ++e) {
if (e.operator-> () != s1 && e.operator-> () != s2) {
if (e->can_join_via (cp)) {
join_edges.push_back (const_cast<db::TriangleEdge *> (e.operator-> ()));
} else {
join_edges.clear ();
break;
}
}
}
if (! join_edges.empty ()) {
tl_assert (join_edges.size () <= 2);
TriangleEdge *new_edge = create_edge (s1->other (cp), s2->other (cp));
new_edge->set_is_segment (s1->is_segment ());
for (auto js = join_edges.begin (); js != join_edges.end (); ++js) {
db::Triangle *t1 = (*js)->left ();
db::Triangle *t2 = (*js)->right ();
db::TriangleEdge *tedge1 = t1->opposite (cp);
db::TriangleEdge *tedge2 = t2->opposite (cp);
t1->unlink ();
t2->unlink ();
db::Triangle *tri = create_triangle (tedge1, tedge2, new_edge);
tri->set_outside (t1->is_outside ());
remove (t1);
remove (t2);
}
edges [i - 1] = new_edge;
edges.erase (edges.begin () + i);
} else {
++i;
}
}
}
}
#if 0
@ -1143,105 +1263,6 @@ from .triangle import *
class Triangles(object):
def _ensure_edge_inner(self, edge: Edge) -> [TriangleEdge]:
crossed_edges = self.search_edges_crossing(edge)
if len(crossed_edges) == 0:
# no crossing edge - there should be a edge already
result = self.find_edge_for_points(edge.p1, edge.p2)
assert (result is not None)
result = [result]
elif len(crossed_edges) == 1:
# can be solved by flipping
_, _, result = self.flip(crossed_edges[0])
assert (result.has_vertex(edge.p1) and result.has_vertex(edge.p2))
result = [result]
else:
# split edge close to center
split_point = None
d = None
l_half = 0.25 * square(edge.d())
for s in crossed_edges:
p = s.intersection_point(edge)
dp = abs(square(sub(p, edge.p1)) - l_half)
if d is None or dp < d:
dp = d
split_point = p
split_vertex = self.insert(Vertex(split_point.x, split_point.y))
e1 = Edge(edge.p1, split_vertex)
e2 = Edge(split_vertex, edge.p2)
result = self._ensure_edge_inner(e1) + self._ensure_edge_inner(e2)
return result
def ensure_edge(self, edge: Edge) -> [TriangleEdge]:
# NOTE: this should not be required if the original outer edges are non-overlapping
# TODO: this is inefficient
for v in self.vertexes:
if edge.point_on(v):
return self.ensure_edge(Edge(edge.p1, v)) + self.ensure_edge(Edge(v, edge.p2))
edges = self._ensure_edge_inner(edge)
for s in edges:
# mark the edges as fixed "forever" so we don't modify them when we ensure other edges
s.level = sys.maxsize
return edges
def _join_edges(self, edges) -> [TriangleEdge]:
# edges are supposed to be ordered
final_edges = []
i = 1
while i < len(edges):
s1 = edges[i - 1]
s2 = edges[i]
assert(s1.is_segment == s2.is_segment)
cp = s1.common_vertex(s2)
assert (cp is not None)
join_edges = []
for s in cp.edges:
if s != s1 and s != s2:
if s.can_join_via(cp):
join_edges.append(s)
else:
join_edges = []
break
if len(join_edges) > 0:
assert(len(join_edges) <= 2)
new_edge = TriangleEdge(s1.other_vertex(cp), s2.other_vertex(cp))
new_edge.is_segment = s1.is_segment
for js in join_edges:
t1 = js.left
t2 = js.right
tedge1 = t1.opposite_edge(cp)
tedge2 = t2.opposite_edge(cp)
t1.unlink()
self.triangles.remove(t1)
t2.unlink()
self.triangles.remove(t2)
tri = Triangle(tedge1, tedge2, new_edge)
tri.is_outside = t1.is_outside
self.triangles.append(tri)
js.unlink()
self.vertexes.remove(cp)
s1.unlink()
s2.unlink()
edges[i - 1] = new_edge
del edges[i]
else:
i += 1
def constrain(self, contours: [[Edge]]) -> object:
"""

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@ -150,6 +150,11 @@ public:
*/
db::Vertex *find_vertex_for_point (const db::DPoint &pt);
/**
* @brief Ensures all points between from an to are connected by edges and makes these segments
*/
std::vector<db::TriangleEdge *> ensure_edge (db::Vertex *from, db::Vertex *to);
private:
tl::shared_collection<db::Triangle> mp_triangles;
tl::weak_collection<db::TriangleEdge> mp_edges;
@ -183,6 +188,8 @@ private:
db::Vertex *from_vertex, db::Vertex *to_vertex,
db::TriangleEdge *conn_edge);
void insert_new_vertex(db::Vertex *vertex, std::vector<db::Triangle *> *new_triangles_out);
std::vector<db::TriangleEdge *> ensure_edge_inner (db::Vertex *from, db::Vertex *to);
void join_edges (std::vector<TriangleEdge *> &edges);
};
}

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@ -272,3 +272,136 @@ TEST(Triangle_test_heavy_remove)
tl::info << tl::endl << "done.";
}
TEST(Triangle_test_ensure_edge)
{
srand (0);
db::Triangles tris;
double res = 128.0;
db::DEdge ee[] = {
db::DEdge (0.25, 0.25, 0.25, 0.75),
db::DEdge (0.25, 0.75, 0.75, 0.75),
db::DEdge (0.75, 0.75, 0.75, 0.25),
db::DEdge (0.75, 0.25, 0.25, 0.25)
};
for (unsigned int i = 0; i < 200; ++i) {
double x = round (flt_rand () * res) * (1.0 / res);
double y = round (flt_rand () * res) * (1.0 / res);
bool ok = true;
for (int j = 0; j < sizeof (ee) / sizeof (ee[0]); ++j) {
if (ee[j].side_of (db::DPoint (x, y)) == 0) {
--i;
ok = false;
}
}
if (ok) {
tris.insert_point (x, y);
}
}
for (int i = 0; i < sizeof (ee) / sizeof (ee[0]); ++i) {
tris.insert_point (ee[i].p1 ());
}
EXPECT_EQ (tris.check (), true);
for (int i = 0; i < sizeof (ee) / sizeof (ee[0]); ++i) {
tris.ensure_edge (tris.find_vertex_for_point (ee[i].p1 ()), tris.find_vertex_for_point (ee[i].p2 ()));
}
EXPECT_EQ (tris.check (false), true);
double area_in = 0.0;
db::DBox clip_box;
for (int i = 0; i < sizeof (ee) / sizeof (ee[0]); ++i) {
clip_box += ee[i].p1 ();
}
for (auto t = tris.begin (); t != tris.end (); ++t) {
if (clip_box.overlaps (t->bbox ())) {
EXPECT_EQ (t->bbox ().inside (clip_box), true);
area_in += t->area ();
}
}
EXPECT_EQ (tl::to_string (area_in), "0.25");
}
#if 0
def test_heavy_constrain(self):
print("Running test_heavy_constrain ")
for l in range(0, 100):
random.seed(l)
print(".", end = '')
tris = t.Triangles()
res = 128.0
for i in range(0, int(random.random() * 100) + 3):
x = round(random.random() * res) * (1.0 / res)
y = round(random.random() * res) * (1.0 / res)
tris.insert(t.Vertex(x, y))
assert (tris.check() == True)
if len(tris.triangles) < 1:
continue
v1 = tris.insert(t.Vertex(0.25, 0.25))
v2 = tris.insert(t.Vertex(0.25, 0.75))
v3 = tris.insert(t.Vertex(0.75, 0.75))
v4 = tris.insert(t.Vertex(0.75, 0.25))
assert (tris.check() == True)
contour = [ t.Edge(v1, v2), t.Edge(v2, v3), t.Edge(v3, v4), t.Edge(v4, v1) ]
tris.constrain([ contour ])
assert (tris.check(check_delaunay = False) == True)
tris.remove_outside_triangles()
p1, p2 = tris.bbox()
assert(str(p1) == "(0.25, 0.25)")
assert(str(p2) == "(0.75, 0.75)")
assert (tris.check() == True)
print(" done.")
def test_heavy_find_point_around(self):
print("Running test_heavy_find_point_around ")
for l in range(0, 100):
print(".", end="")
random.seed(l)
tris = t.Triangles()
res = 128.0
for i in range(0, int(random.random() * 100) + 3):
x = round(random.random() * res) * (1.0 / res)
y = round(random.random() * res) * (1.0 / res)
tris.insert(t.Vertex(x, y))
assert (tris.check() == True)
for i in range(0, 100):
n = int(round(random.random() * (len(tris.vertexes) - 1)))
vertex = tris.vertexes[n]
r = round(random.random() * res) * (1.0 / res)
p1 = tris.find_points_around(vertex, r)
p2 = tris.find_inside_circle(vertex, r)
p2 = [ p for p in p2 if p != vertex ]
assert(len(p1) == len(p2))
for p in p1:
assert(p in p2)
print("")
#endif