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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(
&RingAndPairs,
&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(&RingAndPairs, &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(
&RingAndPairs,
&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(
&RingAndPairs,
&one,
m,
&on(&[""]),
k,
&all_reachable,
&no_stable
),
neighbours(&RingAndPairs, &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);
}
}
/// What passing one change on costs over the graph the member list gives, by the
/// number of messages, while some links don't work (`down`: a share of them, chosen by
/// their members' keys): as now (every node that gets it tells all its neighbours but
/// the one it came from, over the links that work), and along the writer's tree.
///
/// The tree (`swarm::tree`): every member's distance from the writer over the member
/// list's graph (as every node computes it alike), and each member's parent the
/// neighbour it reaches (as it tells its neighbours, `swarm::reach`) that comes first by
/// distance, then whether it reaches a member a hop closer, then pair score, of those
/// before it (by the same, then pair key: no cycles). Whoever has a
/// change of the writer's passes it on to its children in the writer's tree, however
/// it got it. A member with no parent it reaches waits for an announcement from a
/// neighbour that has it (a pull), then passes it on to its own children.
///
/// Reported per change: messages along the tree, pulls, the share that got it along the
/// tree alone, and how many announcement rounds the last one waited. Arrival in
/// breadth-first order: no delays, no losses. A benchmark: `cargo benchmarks`.
#[test]
#[ignore = "a benchmark: cargo benchmarks"]
fn bench_writer_trees() {
use std::collections::{HashMap, HashSet};
// Along the tree from `from`, to all below it: the messages counted in `total`.
fn along<'a>(
from: &'a str,
children: &HashMap<&'a str, Vec<&'a str>>,
has: &mut HashSet<&'a str>,
total: &mut usize,
) {
let mut queue = VecDeque::from([from]);
has.insert(from);
while let Some(m) = queue.pop_front() {
for &child in children.get(m).map_or(&[][..], Vec::as_slice) {
*total += 1;
if has.insert(child) {
queue.push_back(child);
}
}
}
}
println!();
let k = 12;
for n in [13, 50, 100, 250, 1000, 2000] {
let ms = members(n);
let g = graph(&ms, k);
let key: HashMap<&str, u64> = ms.iter().map(|m| (m.as_str(), pair_key(m))).collect();
let degree: f64 = g.values().map(BTreeSet::len).sum::<usize>() as f64 / n as f64;
let sources: Vec<&str> = ms
.iter()
.step_by((n / 10).max(1))
.map(String::as_str)
.collect();
for down_percent in [0, 5, 20] {
let works =
|a: &str, b: &str| g[a].contains(b) && mix(key[a] ^ key[b]) % 100 >= down_percent;
let (mut now_total, mut tree_total, mut pulls_total) = (0usize, 0usize, 0usize);
let (mut eager_total, mut reached_total) = (0usize, 0usize);
let (mut depth_max, mut children_max, mut rounds_max) = (0usize, 0usize, 0usize);
for &source in &sources {
// As now, over the links that work.
let mut seen: HashSet<&str> = HashSet::from([source]);
let mut queue: VecDeque<(&str, Option<&str>)> = VecDeque::from([(source, None)]);
while let Some((m, from)) = queue.pop_front() {
for next in &g[m] {
if Some(next.as_str()) == from || !works(m, next) {
continue;
}
now_total += 1;
if seen.insert(next.as_str()) {
queue.push_back((next.as_str(), Some(m)));
}
}
}
// Distances over the member list's graph.
let mut depth: HashMap<&str, usize> = HashMap::from([(source, 0)]);
let mut order = vec![source];
let mut at = 0;
while at < order.len() {
let m = order[at];
at += 1;
for next in &g[m] {
if !depth.contains_key(next.as_str()) {
depth.insert(next.as_str(), depth[m] + 1);
order.push(next.as_str());
}
}
}
depth_max = depth_max.max(depth.values().copied().max().unwrap_or(0));
// Each member's parent: one it reaches, before it.
// Whether a member reaches one a hop closer (the writer: yes).
let closer = |m: &str| {
depth[m] == 0
|| g[m]
.iter()
.any(|o| depth[o.as_str()] + 1 == depth[m] && works(m, o))
};
let rank = |m: &str| (depth[m], !closer(m), key[m]);
let mut children: HashMap<&str, Vec<&str>> = HashMap::new();
for &m in &order[1..] {
let parent = g[m]
.iter()
.map(String::as_str)
.filter(|p| rank(p) < rank(m) && works(m, p))
.min_by_key(|p| (depth[p], !closer(p), pair_score(p, m)));
if let Some(parent) = parent {
children.entry(parent).or_default().push(m);
}
}
children_max = children_max.max(children.values().map(Vec::len).max().unwrap_or(0));
// Along the tree from whoever has it; then pulls where announcements
// reach, round by round.
let mut has: HashSet<&str> = HashSet::new();
along(source, &children, &mut has, &mut tree_total);
eager_total += has.len();
let mut rounds = 0;
loop {
let pulling: Vec<&str> = ms
.iter()
.map(String::as_str)
.filter(|m| {
!has.contains(m)
&& g[*m]
.iter()
.any(|x| has.contains(x.as_str()) && works(m, x))
})
.collect();
if pulling.is_empty() {
break;
}
rounds += 1;
for m in pulling {
if !has.contains(m) {
pulls_total += 1;
along(m, &children, &mut has, &mut tree_total);
}
}
}
rounds_max = rounds_max.max(rounds);
reached_total += has.len();
}
let changes = sources.len() as f64;
let share = |count: usize| 100.0 * count as f64 / changes / n as f64;
println!(
"{n:>5} members, {degree:.1} neighbours, {down_percent:>2}% of links down: per change \
{:>6.0} messages now; along the writer's tree {:>5.0}, and {:>4.0} pulls \
({:.1}% along the tree alone, {:.1}% in all, the last after {rounds_max} \
announcement rounds; {depth_max} hops, {children_max} children at most)",
now_total as f64 / changes,
tree_total as f64 / changes,
pulls_total as f64 / changes,
share(eager_total),
share(reached_total),
);
}
}
}
/// The neighbours a swarm records count; without one, or with one out of range, the
/// node's own.
#[test]
fn the_swarms_neighbours_count() {
use crate::document::testing::change;
use crate::document::{Document, store};
let mut doc = Document::new();
assert_eq!(swarm_neighbours(&doc, 12), 12);
for (recorded, expected) in [
(serde_json::json!(8), 8),
(serde_json::json!(1), 12),
(serde_json::json!(1000), 12),
(serde_json::json!("eight"), 12),
] {
change(&mut doc, |doc| {
store::write_path(doc, &neighbours_path(), &recorded).unwrap()
});
assert_eq!(swarm_neighbours(&doc, 12), expected, "{recorded}");
}
assert!(affects_neighbours(&neighbours_path()));
}
/// The links members recorded: one either end recorded as unreached is out of the
/// graph, both ways, even where the other end recorded it as reached; one recorded as
/// reached is in, between members the graph has; the rest stays.
#[test]
fn recorded_links_change_the_graph() {
use crate::swarm::members::RecordedLinks;
let name = |n: &str| n.to_owned();
let set = |names: &[&str]| names.iter().map(|n| name(n)).collect::<BTreeSet<String>>();
let ring: BTreeMap<String, BTreeSet<String>> = [
("a", set(&["b", "d"])),
("b", set(&["a", "c"])),
("c", set(&["b", "d"])),
("d", set(&["c", "a"])),
]
.into_iter()
.map(|(member, neighbours)| (name(member), neighbours))
.collect();
let recorded: BTreeMap<String, RecordedLinks> = [
(
name("a"),
RecordedLinks {
unreached: set(&["b"]),
reached: set(&["c", "stranger"]),
},
),
(
name("b"),
RecordedLinks {
unreached: BTreeSet::new(),
reached: set(&["d"]),
},
),
(
name("d"),
RecordedLinks {
unreached: set(&["b"]),
reached: BTreeSet::new(),
},
),
]
.into_iter()
.collect();
let changed = with_recorded(&ring, &recorded);
assert_eq!(changed[&name("a")], set(&["c", "d"]));
assert_eq!(changed[&name("b")], set(&["c"]));
assert_eq!(changed[&name("c")], set(&["a", "b", "d"]));
assert_eq!(changed[&name("d")], set(&["a", "c"]));
assert!(!changed.contains_key("stranger"));
assert_eq!(with_recorded(&ring, &BTreeMap::new()), ring);
}
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