int main() {
Hashtable<int, int> hashtable;
for (int i = 0; i < 100; i++) {
hashtable.set(string("k") + to_string(i), i);
}
for (int i = 0; i < 100; i++) {
hashtable.set(string("k") + to_string(i), 100);
}
for (int i = 0; i < 100; i++) {
cout << i << ": " << hashtable.get(string("k") + to_string(i)) << endl;
}
return 0;
}
Ref<SparseMatrix> TriangleSubdivision::loop_matrix() const {
if (loop_matrix_)
return ref(loop_matrix_);
// Build matrix of Loop subdivision weights
Hashtable<Vector<int,2>,T> A;
int offset = coarse_mesh->nodes();
RawArray<const Vector<int,2> > segments = coarse_mesh->segment_soup()->elements;
Nested<const int> neighbors = coarse_mesh->sorted_neighbors();
Nested<const int> boundary_neighbors = coarse_mesh->boundary_mesh()->neighbors();
unordered_set<int> corners_set(corners.begin(),corners.end());
// Fill in node weights
for (int i=0;i<offset;i++){
if (!neighbors.valid(i) || !neighbors.size(i) || corners_set.count(i) || (boundary_neighbors.valid(i) && boundary_neighbors.size(i) && boundary_neighbors.size(i)!=2))
A.set(vec(i,i),1);
else if (boundary_neighbors.valid(i) && boundary_neighbors.size(i)==2) { // Regular boundary node
A.set(vec(i,i),(T).75);
for (int a=0;a<2;a++)
A.set(vec(i,boundary_neighbors(i,a)),(T).125);
} else { // Interior node
RawArray<const int> ni = neighbors[i];
T alpha = new_loop_alpha(ni.size());
A.set(vec(i,i),alpha);
T other = (1-alpha)/ni.size();
for (int j : ni)
A.set(vec(i,j),other);
}
}
// Fill in edge values
for (int s=0;s<segments.size();s++) {
int i = offset+s;
Vector<int,2> e = segments[s];
RawArray<const int> n[2] = {neighbors.valid(e[0])?neighbors[e[0]]:RawArray<const int>(),
neighbors.valid(e[1])?neighbors[e[1]]:RawArray<const int>()};
if (boundary_neighbors.valid(e[0]) && boundary_neighbors.valid(e[1]) && boundary_neighbors.size(e[0]) && boundary_neighbors.size(e[1]) && boundary_neighbors[e[0]].contains(e[1])) // Boundary edge
for (int a=0;a<2;a++)
A.set(vec(i,e[a]),(T).5);
else if (n[0].size()==6 && n[1].size()==6) { // Edge between regular vertices
int j = n[0].find(e[1]);
int c[2] = {n[0][(j-1+n[0].size())%n[0].size()],
n[0][(j+1)%n[0].size()]};
for (int a=0;a<2;a++) {
A.set(vec(i,e[a]),(T).375);
A.set(vec(i,c[a]),(T).125);
}
} else { // Edge between one or two irregular vertices
T factor = n[0].size()!=6 && n[1].size()!=6 ?.5:1;
for (int k=0;k<2;k++)
if (n[k].size()!=6) {
A[vec(i,e[k])] += factor*(1-new_loop_beta(n[k].size()));
int start = n[k].find(e[1-k]);
for (int j=0;j<n[k].size();j++)
A[vec(i,n[k][(start+j)%n[k].size()])] += factor*new_loop_weight(n[k].size(),j);
}
}
}
// Finalize construction
loop_matrix_ = new_<SparseMatrix>(A,vec(offset+segments.size(),offset));
return ref(loop_matrix_);
}
Ref<SegmentSoup> PolygonSoup::segment_soup() const {
if (!segment_soup_) {
Hashtable<Vector<int,2>> hash;
Array<Vector<int,2>> segments;
int offset = 0;
for (int p=0;p<counts.size();p++) {
for (int i=0,j=counts[p]-1;i<counts[p];j=i,i++) {
Vector<int,2> segment=vec(vertices[offset+i],vertices[offset+j]).sorted();
if(hash.set(segment)) segments.append(segment);
}
offset += counts[p];
}
segment_soup_ = new_<SegmentSoup>(segments,nodes());
}
return ref(segment_soup_);
}
static void clean_evaluate(bool aggressive, int depth, board_t board) {
check_board(board);
symmetry_t symmetry;
superstandardize(board).get(board,symmetry);
if (known.contains(tuple(depth,board)))
return;
cout << "clean evaluate: depth "<<depth<<", board "<<board<<endl;
clear_supertable();
const super_t all = ~super_t(0);
const side_t side0 = unpack(board,0), side1 = unpack(board,1);
auto data = super_shallow_evaluate(aggressive,depth,side0,side1,all);
superinfo_t info = data.lookup.info;
if (depth>=1)
info = super_evaluate_recurse<false>(aggressive,depth,side0,side1,data,all);
GEODE_ASSERT(info.known==all);
known.set(tuple(depth,board),info);
}
GEODE_NEVER_INLINE static void add_constraint_edges(MutableTriangleTopology& mesh, RawField<const EV,VertexId> X,
RawArray<const Vector<int,2>> edges, const bool validate) {
if (!edges.size())
return;
IntervalScope scope;
Hashtable<Vector<VertexId,2>> constrained;
Array<VertexId> left_cavity, right_cavity; // List of vertices for both cavities
const auto random = new_<Random>(key+7);
for (int i=0;i<edges.size();i++) {
// Randomly choose an edge to ensure optimal time complexity
const auto edge = edges[int(random_permute(edges.size(),key+5,i))].sorted();
auto v0 = VertexId(edge.x),
v1 = VertexId(edge.y);
const auto vs = vec(v0,v1);
GEODE_ASSERT(mesh.valid(v0) && mesh.valid(v1));
{
// Check if the edge already exists in the triangulation. To ensure optimal complexity,
// we loop around both vertices interleaved so that our time is O(min(degree(v0),degree(v1))).
const auto s0 = mesh.halfedge(v0),
s1 = mesh.halfedge(v1);
{
auto e0 = s0,
e1 = s1;
do {
if (mesh.dst(e0)==v1 || mesh.dst(e1)==v0)
goto success; // The edge already exists, so there's nothing to be done.
e0 = mesh.left(e0);
e1 = mesh.left(e1);
} while (e0!=s0 && e1!=s1);
}
// Find a triangle touching v0 or v1 containing part of the v0-v1 segment.
// As above, we loop around both vertices interleaved.
auto e0 = s0;
{
auto e1 = s1;
if (mesh.is_boundary(e0)) e0 = mesh.left(e0);
if (mesh.is_boundary(e1)) e1 = mesh.left(e1);
const auto x0 = Perturbed2(v0.id,X[v0]),
x1 = Perturbed2(v1.id,X[v1]);
const auto e0d = mesh.dst(e0),
e1d = mesh.dst(e1);
bool e0o = triangle_oriented(x0,Perturbed2(e0d.id,X[e0d]),x1),
e1o = triangle_oriented(x1,Perturbed2(e1d.id,X[e1d]),x0);
for (;;) { // No need to check for an end condition, since we're guaranteed to terminate
const auto n0 = mesh.left(e0),
n1 = mesh.left(e1);
const auto n0d = mesh.dst(n0),
n1d = mesh.dst(n1);
const bool n0o = triangle_oriented(x0,Perturbed2(n0d.id,X[n0d]),x1),
n1o = triangle_oriented(x1,Perturbed2(n1d.id,X[n1d]),x0);
if (e0o && !n0o)
break;
if (e1o && !n1o) {
// Swap v0 with v1 and e0 with e1 so that our ray starts at v0
swap(v0,v1);
swap(e0,e1);
break;
}
e0 = n0;
e1 = n1;
e0o = n0o;
e1o = n1o;
}
}
// If we only need to walk one step, the retriangulation is a single edge flip
auto cut = mesh.reverse(mesh.next(e0));
if (mesh.dst(mesh.next(cut))==v1) {
if (constrained.contains(vec(mesh.src(cut),mesh.dst(cut)).sorted()))
throw DelaunayConstraintConflict(vec(v0.id,v1.id),vec(mesh.src(cut).id,mesh.dst(cut).id));
cut = mesh.flip_edge(cut);
goto success;
}
// Walk from v0 to v1, collecting the two cavities.
const auto x0 = Perturbed2(v0.id,X[v0]),
x1 = Perturbed2(v1.id,X[v1]);
right_cavity.copy(vec(v0,mesh.dst(cut)));
left_cavity .copy(vec(v0,mesh.src(cut)));
mesh.erase(mesh.face(e0));
for (;;) {
if (constrained.contains(vec(mesh.src(cut),mesh.dst(cut)).sorted()))
throw DelaunayConstraintConflict(vec(v0.id,v1.id),vec(mesh.src(cut).id,mesh.dst(cut).id));
const auto n = mesh.reverse(mesh.next(cut)),
p = mesh.reverse(mesh.prev(cut));
const auto v = mesh.src(n);
mesh.erase(mesh.face(cut));
if (v == v1) {
left_cavity.append(v);
right_cavity.append(v);
break;
} else if (triangle_oriented(x0,x1,Perturbed2(v.id,X[v]))) {
left_cavity.append(v);
cut = n;
} else {
right_cavity.append(v);
cut = p;
}
}
// Retriangulate both cavities
left_cavity.reverse();
cavity_delaunay(mesh,X,left_cavity,random),
cavity_delaunay(mesh,X,right_cavity,random);
}
success:
constrained.set(vs);
}
// If desired, check that the final mesh is constrained Delaunay
if (validate)
assert_delaunay("constrained delaunay validate: ",mesh,X,constrained);
}
Nested<EV> exact_split_polygons(Nested<const EV> polys, const int depth) {
IntervalScope scope;
RawArray<const EV> X = polys.flat;
// We index segments by the index of their first point in X. For convenience, we make an array to keep track of wraparounds.
Array<int> next = (arange(X.size())+1).copy();
for (int i=0;i<polys.size();i++) {
GEODE_ASSERT(polys.size(i)>=3,"Degenerate polygons are not allowed");
next[polys.offsets[i+1]-1] = polys.offsets[i];
}
// Compute all nontrivial intersections between segments
struct Pairs {
const BoxTree<EV>& tree;
RawArray<const int> next;
RawArray<const EV> X;
Array<Vector<int,2>> pairs;
Pairs(const BoxTree<EV>& tree, RawArray<const int> next, RawArray<const EV> X)
: tree(tree), next(next), X(X) {}
bool cull(const int n) const { return false; }
bool cull(const int n0, const int box1) const { return false; }
void leaf(const int n) const { assert(tree.prims(n).size()==1); }
void leaf(const int n0, const int n1) {
assert(tree.prims(n0).size()==1 && tree.prims(n1).size()==1);
const int i0 = tree.prims(n0)[0], i1 = next[i0],
j0 = tree.prims(n1)[0], j1 = next[j0];
if (!(i0==j0 || i0==j1 || i1==j0 || i1==j1)) {
const auto a0 = Perturbed2(i0,X[i0]), a1 = Perturbed2(i1,X[i1]),
b0 = Perturbed2(j0,X[j0]), b1 = Perturbed2(j1,X[j1]);
if (segments_intersect(a0,a1,b0,b1))
pairs.append(vec(i0,j0));
}
}
};
const auto tree = new_<BoxTree<EV>>(segment_boxes(next,X),1);
Pairs pairs(tree,next,X);
double_traverse(*tree,pairs);
// Group intersections by segment. Each pair is added twice: once for each order.
Array<int> counts(X.size());
for (auto pair : pairs.pairs) {
counts[pair.x]++;
counts[pair.y]++;
}
Nested<int> others(counts,uninit);
for (auto pair : pairs.pairs) {
others(pair.x,--counts[pair.x]) = pair.y;
others(pair.y,--counts[pair.y]) = pair.x;
}
pairs.pairs.clean_memory();
counts.clean_memory();
// Walk all original polygons, recording which subsegments occur in the final result
Hashtable<Vector<int,2>,int> graph; // If (i,j) -> k, the output contains the portion of segment j from ij to jk
for (const int p : range(polys.size())) {
const auto poly = range(polys.offsets[p],polys.offsets[p+1]);
// Compute the depth of the first point in the polygon by firing a ray along the positive x axis.
struct Depth {
const BoxTree<EV>& tree;
RawArray<const int> next;
RawArray<const EV> X;
const Perturbed2 start;
int depth;
Depth(const BoxTree<EV>& tree, RawArray<const int> next, RawArray<const EV> X, const int prev, const int i)
: tree(tree), next(next), X(X)
, start(i,X[i])
// If we intersect no other segments, the depth depends on the orientation of direction = (1,0) relative to segments prev and i
, depth(-!local_outwards_x_axis(Perturbed2(prev,X[prev]),start,Perturbed2(next[i],X[next[i]]))) {}
bool cull(const int n) const {
const auto box = tree.boxes(n);
return box.max.x<start.value().x || box.max.y<start.value().y || box.min.y>start.value().y;
}
void leaf(const int n) {
assert(tree.prims(n).size()==1);
const int i0 = tree.prims(n)[0], i1 = next[i0];
if (start.seed()!=i0 && start.seed()!=i1) {
const auto a0 = Perturbed2(i0,X[i0]),
a1 = Perturbed2(i1,X[i1]);
const bool above0 = upwards(start,a0),
above1 = upwards(start,a1);
if (above0!=above1 && above1==triangle_oriented(a0,a1,start))
depth += above1 ? 1 : -1;
}
}
};
Depth ray(tree,next,X,poly.back(),poly[0]);
single_traverse(*tree,ray);
// Walk around the polygon, recording all subsegments at the desired depth
int delta = ray.depth-depth;
int prev = poly.back();
for (const int i : poly) {
const int j = next[i];
const Vector<Perturbed2,2> segment(Perturbed2(i,X[i]),Perturbed2(j,X[j]));
const auto other = others[i];
// Sort intersections along this segment
if (other.size() > 1) {
struct PairOrder {
RawArray<const int> next;
RawArray<const EV> X;
const Vector<Perturbed2,2> segment;
PairOrder(RawArray<const int> next, RawArray<const EV> X, const Vector<Perturbed2,2>& segment)
: next(next), X(X), segment(segment) {}
bool operator()(const int j, const int k) const {
if (j==k)
return false;
const int jn = next[j],
kn = next[k];
return segment_intersections_ordered(segment.x,segment.y,
Perturbed2(j,X[j]),Perturbed2(jn,X[jn]),
Perturbed2(k,X[k]),Perturbed2(kn,X[kn]));
}
};
sort(other,PairOrder(next,X,segment));
}
// Walk through each intersection of this segment, updating delta as we go and remembering the subsegment if it has the right depth
for (const int o : other) {
if (!delta)
graph.set(vec(prev,i),o);
const int on = next[o];
delta += segment_directions_oriented(segment.x,segment.y,Perturbed2(o,X[o]),Perturbed2(on,X[on])) ? -1 : 1;
prev = o;
}
if (!delta)
graph.set(vec(prev,i),next[i]);
// Advance to the next segment
prev = i;
}
}
// Walk the graph to produce output polygons
Hashtable<Vector<int,2>> seen;
Nested<EV,false> output;
for (const auto& start : graph)
if (seen.set(start.x)) {
auto ij = start.x;
for (;;) {
const int i = ij.x, j = ij.y, in = next[i], jn = next[j];
output.flat.append(j==next[i] ? X[j] : segment_segment_intersection(Perturbed2(i,X[i]),Perturbed2(in,X[in]),Perturbed2(j,X[j]),Perturbed2(jn,X[jn])));
ij = vec(j,graph.get(ij));
if (ij == start.x)
break;
seen.set(ij);
}
output.offsets.append(output.flat.size());
}
return output;
}
