Add benchmarks for schedule dependency resolution (bevyengine#4961)

# Objective

- Add benchmarks to test the performance of `Schedule`'s system dependency resolution.

## Solution

- Do a series of benchmarks while increasing the number of systems in the schedule to see how the run-time scales.
- Split the benchmarks into a group with no dependencies, and a group with many dependencies.

Author: joseph-gio

benches/Cargo.toml

@@ -11,6 +11,7 @@ glam = "0.20"
 rand = "0.8"
 rand_chacha = "0.3"
 criterion = { version = "0.3", features = ["html_reports"] }
+bevy_app = { path = "../crates/bevy_app" }
 bevy_ecs = { path = "../crates/bevy_ecs" }
 bevy_reflect = { path = "../crates/bevy_reflect" }
 bevy_tasks = { path = "../crates/bevy_tasks" }
@@ -46,6 +47,11 @@ name = "world_get"
 path = "benches/bevy_ecs/world_get.rs"
 harness = false
 
+[[bench]]
+name = "schedule"
+path = "benches/bevy_ecs/schedule.rs"
+harness = false
+
 [[bench]]
 name = "reflect_list"
 path = "benches/bevy_reflect/list.rs"

benches/benches/bevy_ecs/schedule.rs

@@ -0,0 +1,69 @@
+use bevy_app::App;
+use bevy_ecs::prelude::*;
+use criterion::{criterion_group, criterion_main, Criterion};
+
+criterion_group!(benches, build_schedule);
+criterion_main!(benches);
+
+fn build_schedule(criterion: &mut Criterion) {
+    // empty system
+    fn empty_system() {}
+
+    // Use multiple different kinds of label to ensure that dynamic dispatch
+    // doesn't somehow get optimized away.
+    #[derive(Debug, Clone, Copy, PartialEq, Eq, Hash, SystemLabel)]
+    struct NumLabel(usize);
+    #[derive(Debug, Clone, Copy, PartialEq, Eq, Hash, SystemLabel)]
+    struct DummyLabel;
+
+    let mut group = criterion.benchmark_group("build_schedule");
+    group.warm_up_time(std::time::Duration::from_millis(500));
+    group.measurement_time(std::time::Duration::from_secs(15));
+
+    // Method: generate a set of `graph_size` systems which have a One True Ordering.
+    // Add system to the stage with full constraints. Hopefully this should be maximimally
+    // difficult for bevy to figure out.
+    let labels: Vec<_> = (0..1000).map(NumLabel).collect();
+
+    // Benchmark graphs of different sizes.
+    for graph_size in [100, 500, 1000] {
+        // Basic benchmark without constraints.
+        group.bench_function(format!("{graph_size}_schedule_noconstraints"), |bencher| {
+            bencher.iter(|| {
+                let mut app = App::new();
+                for _ in 0..graph_size {
+                    app.add_system(empty_system);
+                }
+                app.update();
+            });
+        });
+
+        // Benchmark with constraints.
+        group.bench_function(format!("{graph_size}_schedule"), |bencher| {
+            bencher.iter(|| {
+                let mut app = App::new();
+                app.add_system(empty_system.label(DummyLabel));
+
+                // Build a fully-connected dependency graph describing the One True Ordering.
+                // Not particularly realistic but this can be refined later.
+                for i in 0..graph_size {
+                    let mut sys = empty_system.label(labels[i]).before(DummyLabel);
+                    for a in 0..i {
+                        sys = sys.after(labels[a]);
+                    }
+                    for b in i + 1..graph_size {
+                        sys = sys.before(labels[b]);
+                    }
+                    app.add_system(sys);
+                }
+                // Run the app for a single frame.
+                // This is necessary since dependency resolution does not occur until the game runs.
+                // FIXME: Running the game clutters up the benchmarks, so ideally we'd be
+                // able to benchmark the dependency resolution directly.
+                app.update();
+            });
+        });
+    }
+
+    group.finish();
+}