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|
use super::*;
use std::collections::VecDeque;
fn members(n: usize) -> Vec<String> {
(0..n).map(|i| format!("{:064x}", i * 7919 + 13)).collect()
}
fn all_reachable(_: &str) -> bool {
false
}
fn none_stable(_: &str) -> bool {
false
}
fn graph(members: &[String], k: usize) -> BTreeMap<String, BTreeSet<String>> {
super::graph(members, k, &all_reachable, &none_stable)
}
fn connected(g: &BTreeMap<String, BTreeSet<String>>) -> bool {
let Some(start) = g.keys().next() else {
return true;
};
let mut seen = BTreeSet::from([start.clone()]);
let mut queue = VecDeque::from([start.clone()]);
while let Some(m) = queue.pop_front() {
for next in &g[&m] {
if seen.insert(next.clone()) {
queue.push_back(next.clone());
}
}
}
seen.len() == g.len()
}
fn edges(graph: &BTreeMap<String, BTreeSet<String>>) -> BTreeSet<(String, String)> {
graph
.iter()
.flat_map(|(a, ns)| {
ns.iter().map(move |b| {
if a < b {
(a.clone(), b.clone())
} else {
(b.clone(), a.clone())
}
})
})
.collect()
}
fn hex(bytes: [u8; 32]) -> String {
crate::transport::Hex(&bytes).to_string()
}
/// Over random swarms (size, `k`, who is reachable, who is stable): links only
/// between reachable members, never to oneself, symmetric; a full mesh while small,
/// otherwise at least `k` links each and connected; independent of the order members
/// are listed in; and each member's own view (`neighbours`) agrees with the graph.
#[test]
fn random_swarms() {
crate::testrand::for_seeds(300, |rng| {
let n = rng.between(1, 60);
let k = rng.between(2, 14);
let mut all: Vec<String> = (0..n).map(|_| hex(rng.bytes32())).collect();
let unreachable: BTreeSet<String> =
all.iter().filter(|_| rng.chance(0.3)).cloned().collect();
let stable: BTreeSet<String> = all.iter().filter(|_| rng.chance(0.3)).cloned().collect();
let is_unreachable = |m: &str| unreachable.contains(m);
let is_stable = |m: &str| stable.contains(m);
let g = super::graph(&all, k, &is_unreachable, &is_stable);
// Owned: `all` is shuffled below.
let live: BTreeSet<String> = all
.iter()
.filter(|m| !unreachable.contains(*m))
.cloned()
.collect();
assert_eq!(g.keys().cloned().collect::<BTreeSet<_>>(), live);
for (a, ns) in &g {
assert!(!ns.contains(a), "{a} links to itself");
for b in ns {
assert!(live.contains(b), "{a} links to unreachable {b}");
assert!(g[b].contains(a), "{a} -> {b} but not back");
}
}
if live.len() <= k + 1 {
assert!(
g.values().all(|ns| ns.len() + 1 == live.len()),
"not a full mesh"
);
} else {
assert!(
g.values().all(|ns| ns.len() >= k),
"a member with fewer than k links"
);
assert!(connected(&g), "not connected");
}
rng.shuffle(&mut all);
assert_eq!(super::graph(&all, k, &is_unreachable, &is_stable), g);
if let Some(local) = live.iter().nth(rng.below(live.len())) {
let others: Vec<String> = all.iter().filter(|m| *m != local).cloned().collect();
assert_eq!(
neighbours(&others, local, k, &is_unreachable, &is_stable),
g[local]
);
}
});
}
#[test]
fn small_swarms_are_a_full_mesh() {
let ms = members(13);
for m in &ms {
assert_eq!(
neighbours(&ms, m, 12, &all_reachable, &none_stable).len(),
12
);
}
}
#[test]
fn links_are_symmetric_and_degree_at_least_k() {
let ms = members(250);
let g = graph(&ms, 8);
for (a, ns) in &g {
assert!(ns.len() >= 8, "{a} has {} neighbours", ns.len());
assert!(!ns.contains(a));
for b in ns {
assert!(g[b].contains(a), "{a} -> {b} not symmetric");
}
}
}
#[test]
fn graph_is_connected() {
for (n, k) in [(250, 8), (250, 2), (60, 3)] {
assert!(connected(&graph(&members(n), k)), "n={n} k={k}");
}
}
#[test]
fn one_member_joining_changes_few_links() {
let ms = members(200);
let before = edges(&graph(&ms, 8));
let mut more = ms.clone();
more.push(format!("{:064x}", 999_999));
let after = edges(&graph(&more, 8));
let changed = before.symmetric_difference(&after).count();
assert!(changed <= 4 * 8, "{changed} links changed");
}
#[test]
fn reachable_members_stay_connected_when_most_are_offline() {
let ms = members(100);
// Every tenth member is online.
let online: BTreeSet<String> = ms.iter().step_by(10).cloned().collect();
let offline = |m: &str| !online.contains(m);
let g = super::graph(&ms, 12, &offline, &none_stable);
assert_eq!(g.len(), 10);
// Ten reachable members and k = 12: a full mesh among them.
assert!(g.values().all(|ns| ns.len() == 9));
let online: BTreeSet<String> = ms.iter().step_by(4).cloned().collect();
let offline = |m: &str| !online.contains(m);
let g = super::graph(&ms, 8, &offline, &none_stable);
assert_eq!(g.len(), 25);
assert!(connected(&g));
assert!(
g.values()
.all(|ns| ns.len() >= 8 && ns.iter().all(|n| online.contains(n)))
);
}
#[test]
fn stable_members_become_hubs_with_bounded_degree() {
let ms = members(250);
let stable: BTreeSet<String> = ms.iter().step_by(12).take(20).cloned().collect();
let is_stable = |m: &str| stable.contains(m);
let g = super::graph(&ms, 12, &all_reachable, &is_stable);
assert!(connected(&g));
let degree = |pred: &dyn Fn(&String) -> bool| -> (usize, f64) {
let degrees: Vec<usize> = g
.iter()
.filter(|(m, _)| pred(m))
.map(|(_, ns)| ns.len())
.collect();
let max = *degrees.iter().max().unwrap();
(
max,
degrees.iter().sum::<usize>() as f64 / degrees.len() as f64,
)
};
let (stable_max, stable_mean) = degree(&|m| stable.contains(m));
let (_, transient_mean) = degree(&|m| !stable.contains(m));
// 230 transient members put about 5 of their 10 scored slots on 20 stable ones.
assert!(
stable_mean > 3.0 * transient_mean,
"{stable_mean} vs {transient_mean}"
);
assert!(
stable_max <= 100,
"a stable member has {stable_max} neighbours"
);
}
/// A hub's degree in a swarm of `n` with `stable_count` stable members stays within
/// the bound.
fn hub_degree_is_bounded(n: usize, stable_count: usize) {
// Few stable members among many: without the fan-in budget each would be chosen
// by most of the swarm (about 130 neighbours with 10 of 250). With it, a hub has
// at most the budget plus the links others choose by pair score and the ring.
let k = 12;
let ms = members(n);
let stable: BTreeSet<String> = ms.iter().step_by(n / stable_count).cloned().collect();
let is_stable = |m: &str| stable.contains(m);
let g = super::graph(&ms, k, &all_reachable, &is_stable);
assert!(connected(&g), "n={n} stable={stable_count}");
let hub_max = g
.iter()
.filter(|(m, _)| stable.contains(*m))
.map(|(_, ns)| ns.len())
.max()
.unwrap();
assert!(
hub_max <= 8 * k,
"n={n} stable={stable_count}: a stable member has {hub_max} neighbours"
);
}
/// Two transports with members on one or the other, and two members on both: every
/// link is over a shared transport, and the two members on both connect the rest.
#[test]
fn members_on_two_transports_bridge_the_others() {
let k = 8;
let ms = members(201);
let on = |names: &[&str]| -> BTreeSet<String> {
names.iter().map(|name| (*name).to_owned()).collect()
};
let transports: BTreeMap<String, BTreeSet<String>> = ms
.iter()
.enumerate()
.map(|(i, m)| {
let transports = match i {
0 | 1 => on(&["a", "b"]),
i if i % 2 == 0 => on(&["a"]),
_ => on(&["b"]),
};
(m.clone(), transports)
})
.collect();
let no_stable = |_: &str| false;
let mut graph: BTreeMap<String, BTreeSet<String>> = BTreeMap::new();
for (m, own) in &transports {
for n in neighbours_across(&transports, m, own, k, &all_reachable, &no_stable) {
assert!(
!transports[&n].is_disjoint(own),
"{m} and {n} share no transport"
);
graph.entry(m.clone()).or_default().insert(n.clone());
graph.entry(n).or_default().insert(m.clone());
}
}
assert_eq!(graph.len(), ms.len());
assert!(connected(&graph));
let bridge = &ms[0];
assert!(graph[bridge].iter().any(|n| !transports[n].contains("b")));
assert!(graph[bridge].iter().any(|n| !transports[n].contains("a")));
// One transport: the one graph, as without transports.
let one: BTreeMap<String, BTreeSet<String>> =
ms.iter().map(|m| (m.clone(), on(&[""]))).collect();
for m in &ms[..5] {
assert_eq!(
neighbours_across(&one, m, &on(&[""]), k, &all_reachable, &no_stable),
neighbours(&ms, m, k, &all_reachable, &no_stable)
);
}
}
#[test]
fn schemes_of_addresses() {
let addresses = |all: &[&str]| -> Vec<String> { all.iter().map(|a| (*a).to_owned()).collect() };
assert_eq!(
schemes(&addresses(&[
"mycelium:ab",
"libp2p:/ip4/1.2.3.4/tcp/1",
"libp2p:/ip6/::1/tcp/1"
])),
BTreeSet::from(["libp2p".to_owned(), "mycelium".to_owned()])
);
assert_eq!(schemes(&addresses(&["a"])), BTreeSet::from([String::new()]));
assert!(schemes(&[]).is_empty());
}
#[test]
fn hub_degree_is_bounded_however_few_stable_members() {
for (n, stable_count) in [(250, 10), (400, 5)] {
hub_degree_is_bounded(n, stable_count);
}
}
/// The same at the sizes the bound was designed for; slow in debug builds, so run
/// on request (`cargo test --release -- --ignored`).
#[test]
#[ignore]
fn hub_degree_is_bounded_in_large_swarms() {
for (n, stable_count) in [(1000, 10), (1000, 20), (2000, 20)] {
hub_degree_is_bounded(n, stable_count);
}
}
|