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-rw-r--r--test/graph/hld.cpp83
-rw-r--r--test/graph/reroot.cpp59
-rw-r--r--test/graph/reroot.cpp.awk7
-rw-r--r--test/graph/virtualTree.cpp95
-rw-r--r--test/graph/virtualTree.cpp.awk7
5 files changed, 251 insertions, 0 deletions
diff --git a/test/graph/hld.cpp b/test/graph/hld.cpp
new file mode 100644
index 0000000..bcd9c8c
--- /dev/null
+++ b/test/graph/hld.cpp
@@ -0,0 +1,83 @@
+#include "../util.h"
+#include <graph/hld.cpp>
+
+struct Seg { // very real segment tree
+ vector<int> a;
+
+ Seg(int n) : a(n) {}
+
+ void inc(int l, int r) {
+ for (int i=l; i<r; i++) a[i]++;
+ }
+};
+
+void stress_test() {
+ for (int tries = 0; tries < 100'000; tries++) {
+ int n = Random::integer<int>(1, 50);
+ Graph<NoData> g(n);
+ g.tree();
+
+ adj.assign(n, {});
+ g.forEdges([&](int a, int b){
+ adj[a].push_back(b);
+ adj[b].push_back(a);
+ });
+
+ init(Random::integer(0, n));
+
+ vector<int> a(n);
+ auto dfs = [&](auto& self, int u, int p, int t) {
+ if (u == t) {
+ a[u]++;
+ return true;
+ }
+ for (int v : adj[u]) if (v != p) {
+ if (self(self, v, u, t)) {
+ a[u]++;
+ return true;
+ }
+ }
+ return false;
+ };
+
+ Seg seg(n);
+
+ int Q = Random::integer(1, 50);
+ for (int q=0; q<Q; q++) {
+ int u = Random::integer(0, n), v = Random::integer(0, n);
+ for_intervals(u, v, [&](int l, int r) { seg.inc(l, r); });
+ dfs(dfs, u, -1, v);
+ }
+ for (int i=0; i<n; i++) {
+ if (seg.a[in[i]] != a[i]) cerr << "WA: expected " << a[i] << " got " << seg.a[in[i]] << FAIL;
+ }
+ }
+ cerr << "tested random tests: " << 100'000 << endl;
+}
+
+constexpr int N = 1'000'000;
+void performance_test() {
+ timer t;
+ Graph<NoData> g(N);
+ g.tree();
+ adj.assign(N, {});
+ g.forEdges([&](int a, int b){
+ adj[a].push_back(b);
+ adj[b].push_back(a);
+ });
+ vector<pair<int, int>> qu(N);
+ for (auto& [x, y] : qu) x = Random::integer(0, N), y = Random::integer(0, N);
+
+ ll hash = 0;
+ t.start();
+ init(0);
+ for (auto [x, y] : qu) for_intervals(x, y, [&](int l, int r){ hash += r-l; });
+ t.stop();
+ if (t.time > 1000) cerr << "too slow: " << t.time << FAIL;
+ cerr << "tested performance: " << t.time << "ms (hash: " << hash << ")" << endl;
+}
+
+int main() {
+ stress_test();
+ performance_test();
+}
diff --git a/test/graph/reroot.cpp b/test/graph/reroot.cpp
new file mode 100644
index 0000000..d5043b4
--- /dev/null
+++ b/test/graph/reroot.cpp
@@ -0,0 +1,59 @@
+#include "../util.h"
+#include <graph/reroot.cpp>
+
+void stress_test() {
+ for (int tries = 0; tries < 50'000; tries++) {
+ int n = Random::integer<int>(1, 50);
+ Graph<NoData> g(n);
+ g.tree();
+
+ adj.assign(n, {});
+ g.forEdges([&](int a, int b){
+ adj[a].emplace_back(b, Random::integer(0, 10));
+ adj[b].emplace_back(a, Random::integer(0, 10));
+ });
+
+ Reroot re;
+ auto ans = re.solve();
+
+ auto dfs = [&](auto& self, int u, int p) -> ll {
+ ll val = 0;
+ for (auto [v, w] : adj[u]) if (v != p) {
+ val ^= ((v ^ u) + self(self, v, u)) * w % MOD;
+ }
+ return u ^ val;
+ };
+ for (int i=0; i<n; i++) {
+ if (ans[i] != dfs(dfs, i, -1)) {
+ cerr << "WA expected " << dfs(dfs, i, -1) << " got " << ans[i] << FAIL;
+ }
+ }
+ }
+ cerr << "tested random 50'000 tests" << endl;
+}
+
+constexpr int N = 1'000'000;
+void performance_test() {
+ timer t;
+ Graph<NoData> g(N);
+ g.tree();
+ adj.assign(N, {});
+ g.forEdges([&](int a, int b){
+ adj[a].emplace_back(b, Random::integer(0, (int)1e9));
+ adj[b].emplace_back(a, Random::integer(0, (int)1e9));
+ });
+
+ ll hash = 0;
+ t.start();
+ Reroot re;
+ auto ans = re.solve();
+ hash = accumulate(all(ans), 0LL);
+ t.stop();
+ if (t.time > 1000) cerr << "too slow: " << t.time << FAIL;
+ cerr << "tested performance: " << t.time << "ms (hash: " << hash << ")" << endl;
+}
+
+int main() {
+ stress_test();
+ performance_test();
+}
diff --git a/test/graph/reroot.cpp.awk b/test/graph/reroot.cpp.awk
new file mode 100644
index 0000000..37ce8c3
--- /dev/null
+++ b/test/graph/reroot.cpp.awk
@@ -0,0 +1,7 @@
+BEGIN { print "constexpr ll MOD = 1e9 + 7;" }
+{
+ sub("W w, T x) {\\}", "W w, T x) { return ((v ^ c) + x) * w % MOD; }")
+ sub("T x, T y) {\\}", "T x, T y) { return x ^ y; }")
+ sub("int v, T x) {\\}", "int v, T x) { return v ^ x; }")
+}
+{ print }
diff --git a/test/graph/virtualTree.cpp b/test/graph/virtualTree.cpp
new file mode 100644
index 0000000..d256760
--- /dev/null
+++ b/test/graph/virtualTree.cpp
@@ -0,0 +1,95 @@
+#include "../util.h"
+int lca(int u, int v);
+#include <graph/virtualTree.cpp>
+
+vector<int> d, par;
+void dfs(int u, vector<vector<int>>& adj, int& counter) {
+ in[u] = counter++;
+ for (int v : adj[u]) if (v != par[u]) {
+ d[v] = d[u]+1;
+ par[v] = u;
+ dfs(v, adj, counter);
+ }
+ out[u] = counter;
+}
+
+int lca(int u, int v) {
+ if (d[u] < d[v]) swap(u, v);
+ while (d[u] > d[v]) u = par[u];
+ while (u != v) u = par[u], v = par[v];
+ return u;
+}
+
+void init(vector<vector<int>>& adj) {
+ int n = (int)sz(adj);
+ d.assign(n, 0);
+ in = par = out = d;
+ int counter = 0;
+ dfs(0, adj, counter);
+}
+
+void stress_test() {
+ for (int tries = 0; tries < 50'000; tries++) {
+ int n = Random::integer<int>(1, 50);
+ Graph<NoData> g(n);
+ g.tree();
+
+ vector<vector<int>> adj(n);
+ g.forEdges([&](int a, int b){
+ adj[a].push_back(b);
+ adj[b].push_back(a);
+ });
+
+ init(adj);
+ vector<int> ind = Random::distinct(Random::integer(1, n+1), 0, n);
+ auto [idk, tree] = virtualTree(ind);
+ vector<pair<int, int>> edges;
+ for (int i=0; i<sz(idk); i++) for (int v : tree[i]) {
+ edges.emplace_back(idk[i], idk[v]);
+ }
+
+ vector<pair<int, int>> edges2;
+ vector<bool> used(n);
+ for (int u : ind) for (int v : ind) used[lca(u, v)] = true;
+ auto dfs = [&](auto& self, int u, int p, int last) -> void {
+ if (used[u]) {
+ if (last != -1) edges2.emplace_back(last, u);
+ last = u;
+ }
+ for (int v : adj[u]) if (v != p) self(self, v, u, last);
+ };
+ dfs(dfs, 0, -1, -1);
+
+ sort(all(edges)), sort(all(edges2));
+ if (edges != edges2) cerr << "WA edge list does not match" << FAIL;
+ }
+ cerr << "tested random 50'000 tests" << endl;
+}
+
+constexpr int N = 1'000'000;
+void performance_test() {
+ timer t;
+ Graph<NoData> g(N);
+ g.tree();
+ vector<vector<int>> adj(N);
+ g.forEdges([&](int a, int b){
+ adj[a].push_back(b);
+ adj[b].push_back(a);
+ });
+
+ init(adj);
+ vector<int> ind = Random::distinct(N/2, 0, N);
+
+ ll hash = 0;
+ t.start();
+ auto [idk, tree] = virtualTree(ind);
+ hash = accumulate(all(idk), 0LL);
+ t.stop();
+ if (t.time > 1000) cerr << "too slow: " << t.time << FAIL;
+ cerr << "tested performance: " << t.time << "ms (hash: " << hash << ")" << endl;
+}
+
+int main() {
+ stress_test();
+ performance_test();
+}
diff --git a/test/graph/virtualTree.cpp.awk b/test/graph/virtualTree.cpp.awk
new file mode 100644
index 0000000..fe4bc62
--- /dev/null
+++ b/test/graph/virtualTree.cpp.awk
@@ -0,0 +1,7 @@
+/\/\/ v/ {
+ print "return {ind, tree};"
+}
+{
+ sub("void", "pair<vector<int>, vector<vector<int>>>")
+}
+{ print }
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