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python examples/visualize.py # every figure from data/ into figures/
python examples/visualize.py --data data_small --figures potential_field,timeline --episode 12 --step 400
Figures: `topologies` (one graph per family, links scaled by capacity), `benchmark` (loss and
delay per router by offered load, with 95 % bootstrap intervals), `timeline` (one episode step by
step under two routers, with bursts and topology events), `queue_heatmap` (buffer occupancy of
every node over time, same episode, two routers), `link_utilisation` (how often links run near
saturation, per router), `potential_field` (the field of one flow on the graph with the
steepest-current next hops and the descent path), `delays` (flow-level p99 delay and path stretch
per router) and `traffic_profiles` (offered packets of one flow under each profile). Colours
follow one fixed palette: every router keeps its hue in every figure.
"""
import argparse
import sys
from pathlib import Path
import matplotlib
import matplotlib.pyplot as plt
import networkx as nx
import numpy as np
from matplotlib.collections import LineCollection
from matplotlib.colors import LinearSegmentedColormap, Normalize
from matplotlib.ticker import FuncFormatter, MaxNLocator
ROOT = Path(__file__).resolve().parents[1]
sys.path.insert(0, str(ROOT))
from src.config import ROUTERS # noqa: E402
from src.dataset import Dataset, Episode # noqa: E402
from src.design import LOAD_LEVELS, TRAFFIC_PROFILES # noqa: E402
matplotlib.use("Agg")
SERIES = ["#2a78d6", "#eb6834", "#1baf7a", "#eda100", "#e87ba4", "#008300"] # categorical slots 1-6
ROUTER_COLOR = dict(zip(ROUTERS, SERIES))
BLUES = LinearSegmentedColormap.from_list("sequential", ["#cde2fb", "#9ec5f4", "#6da7ec", "#3987e5",
"#256abf", "#184f95", "#0d366b"])
ACCENT, SURFACE, INK, INK2, MUTED, GRID, ALERT = "#eb6834", "#fcfcfb", "#0b0b0b", "#52514e", "#a09f9a", "#e6e5e1", "#e34948"
FIGURES = ("topologies", "benchmark", "timeline", "queue_heatmap", "link_utilisation",
"potential_field", "delays", "traffic_profiles")
LABEL = {"potential": "potential", "potential_split": "potential split", "potential_static": "potential static",
"shortest_path": "shortest path", "ecmp": "ECMP", "adaptive_shortest_path": "adaptive shortest path"}
def style() -> None:
plt.rcParams.update({
"figure.facecolor": SURFACE, "axes.facecolor": SURFACE, "savefig.facecolor": SURFACE,
"font.size": 9, "axes.titlesize": 10, "axes.labelsize": 9, "axes.titleweight": "medium",
"text.color": INK, "axes.labelcolor": INK2, "xtick.color": INK2, "ytick.color": INK2,
"axes.edgecolor": GRID, "axes.spines.top": False, "axes.spines.right": False,
"axes.grid": True, "grid.color": GRID, "grid.linewidth": 0.6, "axes.axisbelow": True,
"xtick.major.size": 0, "ytick.major.size": 0, "legend.frameon": False, "legend.fontsize": 8,
"lines.linewidth": 1.6,
})
def save(fig, out: Path, name: str, dpi: int) -> None:
out.mkdir(parents=True, exist_ok=True)
path = out / f"{name}.png"
fig.savefig(path, dpi=dpi, bbox_inches="tight")
plt.close(fig)
print(f" wrote {path}")
def bootstrap_ci(values: np.ndarray, rng: np.random.Generator, samples: int = 2000):
means = rng.choice(values, size=(samples, len(values)), replace=True).mean(axis=1)
return np.percentile(means, [2.5, 97.5])
def layout(ep: Episode) -> np.ndarray:
"""Node positions: true coordinates (Waxman), tiers (fat-tree) or a seeded spring layout."""
if len(ep.node_xy):
return ep.node_xy.astype(float)
if ep.node_role.max() > 0:
tier = {1: 3.0, 2: 2.0, 3: 1.0, 4: 0.0}
pos = np.zeros((ep.n_nodes, 2))
for role, y in tier.items():
members = np.flatnonzero(ep.node_role == role)
pos[members, 0] = (np.arange(len(members)) + 0.5) / len(members)
pos[members, 1] = y / 3.0
return pos
graph = nx.Graph()
graph.add_nodes_from(range(ep.n_nodes))
graph.add_edges_from(ep.edges.tolist())
spring = nx.spring_layout(graph, seed=0)
return np.array([spring[i] for i in range(ep.n_nodes)])
def draw_links(ax, ep: Episode, pos: np.ndarray, capacity: np.ndarray, base: np.ndarray) -> None:
live = capacity > 0
width = 0.3 + 1.7 * base[live] / base.max()
ax.add_collection(LineCollection(pos[ep.edges[live]], linewidths=width, colors=MUTED, alpha=0.55, zorder=1))
if (~live).any():
ax.add_collection(LineCollection(pos[ep.edges[~live]], linewidths=1.0, colors=ALERT,
linestyles=(0, (2, 2)), zorder=1, label="failed link"))
def clean_axes(ax) -> None:
ax.set_xticks([])
ax.set_yticks([])
ax.grid(False)
for side in ("left", "bottom"):
ax.spines[side].set_visible(False)
ax.set_aspect("equal", adjustable="datalim")
ax.set_box_aspect(1)
ax.margins(0.05)
def fig_topologies(ds: Dataset, out: Path, dpi: int, **_) -> None:
episodes = ds.episodes
picks = episodes.sort_values("n_nodes").groupby("topology", sort=False).head(1)
fig, axes = plt.subplots(1, len(picks), figsize=(3.4 * len(picks), 3.4))
for ax, (eid, row) in zip(np.atleast_1d(axes), picks.iterrows()):
ep = ds.episode(eid)
pos = layout(ep)
draw_links(ax, ep, pos, ep.capacity, ep.capacity)
if ep.node_role.max() > 0:
colours = [BLUES(0.85 - 0.22 * (r - 1)) for r in ep.node_role]
else:
colours = SERIES[0]
ax.scatter(pos[:, 0], pos[:, 1], s=16, c=colours, edgecolors=SURFACE, linewidths=0.6, zorder=3)
clean_axes(ax)
ax.set_title(f"{row.topology.replace('_', ' ')}\n{ep.n_nodes} nodes, {ep.n_edges} links, "
f"mean degree {2 * ep.n_edges / ep.n_nodes:.1f}")
fig.suptitle("Topology families (link width proportional to capacity; fat-tree tiers core to hosts, dark to light)", y=1.02)
save(fig, out, "topologies", dpi)
def fig_benchmark(ds: Dataset, out: Path, dpi: int, seed: int, **_) -> None:
summary = ds.summary("router_summary")
loads = [l for l in LOAD_LEVELS if l in set(summary.load_level)]
routers = [r for r in ROUTERS if r in set(summary.router)]
rng = np.random.default_rng(seed)
metrics = [("loss_ratio", "loss ratio"), ("mean_delay", "mean end-to-end delay (steps)")]
fig, axes = plt.subplots(len(metrics), len(loads), figsize=(3.6 * len(loads), 2.6 * len(metrics)),
sharey=True, squeeze=False)
for i, (metric, label) in enumerate(metrics):
for j, load in enumerate(loads):
ax = axes[i, j]
sub = summary[summary.load_level == load]
for k, router in enumerate(routers):
values = sub[sub.router == router][metric].dropna().to_numpy()
mean = values.mean()
lo, hi = bootstrap_ci(values, rng)
y = len(routers) - 1 - k # first router on top
ax.barh(y, mean, height=0.72, color=ROUTER_COLOR[router], zorder=2)
ax.errorbar(mean, y, xerr=[[mean - lo], [hi - mean]], fmt="none", ecolor=INK2, elinewidth=0.8, capsize=2, zorder=3)
ax.set_yticks(range(len(routers)))
ax.set_yticklabels([LABEL[r] for r in reversed(routers)])
ax.grid(axis="y", visible=False)
if i == 0:
ax.set_title(f"{load} load ({sub.episode_id.nunique()} episodes)")
ax.set_xlabel(label)
ax.set_xlim(left=0)
ax.xaxis.set_major_locator(MaxNLocator(4))
if metric == "loss_ratio":
ax.xaxis.set_major_formatter(FuncFormatter(lambda x, _: f"{100 * x:g}%"))
fig.suptitle("Router benchmark by offered load: mean over episodes with 95 % bootstrap intervals", y=1.01)
fig.tight_layout()
save(fig, out, "benchmark", dpi)
def bursting_flows(ep: Episode) -> np.ndarray:
"""Number of tracked flows in the burst state at every step."""
flows = ep.telemetry("flow_telemetry", ep.dataset.routers[0], ["episode_id", "router", "step", "flow", "mmpp_state"])
return flows.groupby("step").mmpp_state.sum().reindex(range(ep.steps), fill_value=0).to_numpy()
def shade_bursts(ax, mask: np.ndarray) -> None:
edges = np.flatnonzero(np.diff(np.r_[0, mask.astype(int), 0]))
for start, end in zip(edges[::2], edges[1::2]):
ax.axvspan(start, end, color=INK2, alpha=0.08, linewidth=0, zorder=0)
def mark_events(ax, ep: Episode) -> None:
for e in ep.events.itertuples():
ax.axvline(e.start, color=ALERT if e.kind == "link_failure" else MUTED, linewidth=0.8, zorder=1)
def fig_timeline(ds: Dataset, out: Path, dpi: int, episode: int, routers, **_) -> None:
ep = ds.episode(episode)
frames = {r: ep.telemetry("network_telemetry", r, ["episode_id", "router", "step", "offered", "delivered",
"dropped", "queued", "route_changes"]) for r in routers}
bursts = bursting_flows(ep)
fig, axes = plt.subplots(5, 1, figsize=(10, 8.2), sharex=True, gridspec_kw={"height_ratios": [1, 3, 3, 3, 3]})
axes[0].fill_between(np.arange(ep.steps), bursts, step="mid", color=INK2, alpha=0.35, linewidth=0)
axes[0].set_ylabel(f"tracked flows\nin burst (of {ep.tracked_flows})", fontsize=8)
axes[0].set_ylim(0, max(1, bursts.max()))
axes[0].yaxis.set_major_locator(MaxNLocator(integer=True, nbins=3))
panels = [("delivered", "delivered\n(packets / step)"), ("dropped", "dropped\n(packets / step)"),
("queued", "waiting in buffers\n(packets)"), ("route_changes", "next-hop changes\n(per step)")]
for ax, (column, label) in zip(axes[1:], panels):
if column == "delivered":
ax.plot(frames[routers[0]].step, frames[routers[0]].offered, color=MUTED, linewidth=1.0, label="offered")
for r in routers:
ax.plot(frames[r].step, frames[r][column], color=ROUTER_COLOR[r], label=LABEL[r])
ax.set_ylabel(label, fontsize=8)
ax.set_ylim(bottom=0)
for ax in axes:
mark_events(ax, ep)
axes[4].set_yscale("symlog", linthresh=10)
axes[4].set_xlabel("step (1 step = 1 ms)")
axes[1].legend(loc="upper right", ncol=3)
summary = ep.telemetry("router_summary").set_index("router")
losses = ", ".join(f"{LABEL[r]} loss {summary.loss_ratio[r]:.1%}" for r in routers)
fig.suptitle(f"Episode {ep.id} ({'/'.join(str(v) for v in ep.cell.values())}): {losses}\n"
f"vertical lines: link failure (red) or node degradation (grey) begins", fontsize=9)
fig.align_ylabels(axes)
save(fig, out, "timeline", dpi)
def fig_queue_heatmap(ds: Dataset, out: Path, dpi: int, episode: int, routers, **_) -> None:
ep = ds.episode(episode)
queues = {r: ep.queue_depth(r) for r in routers}
order = np.argsort(-queues[routers[-1]].mean(0)) # same node order in every panel
vmax = max(q.max() for q in queues.values())
fig, axes = plt.subplots(1, len(routers), figsize=(5.2 * len(routers), 4.2), sharey=True)
summary = ep.telemetry("router_summary").set_index("router")
for ax, r in zip(np.atleast_1d(axes), routers):
image = ax.imshow(queues[r][:, order].T, aspect="auto", cmap=BLUES, vmin=0, vmax=vmax,
interpolation="nearest", origin="upper")
ax.set_title(f"{LABEL[r]}: loss {summary.loss_ratio[r]:.1%}, mean occupancy {summary.mean_queue[r]:.1f}")
ax.set_xlabel("step (1 step = 1 ms)")
ax.grid(False)
np.atleast_1d(axes)[0].set_ylabel(f"node rank by mean occupancy under {LABEL[routers[-1]]} (busiest first)")
fig.colorbar(image, ax=list(np.atleast_1d(axes)), label=f"packets in buffer (capacity {ds.config.buffer_size})", shrink=0.9)
fig.suptitle(f"Buffer occupancy, episode {ep.id} ({'/'.join(str(v) for v in ep.cell.values())})", y=0.98)
save(fig, out, "queue_heatmap", dpi)
def fig_link_utilisation(ds: Dataset, out: Path, dpi: int, episode: int, **_) -> None:
ep = ds.episode(episode)
fig, ax = plt.subplots(figsize=(6.4, 4))
grid = np.linspace(0, 1, 101)
for r in [r for r in ROUTERS if r in ds.routers]:
util = ep.link_utilisation(r)
util = util[np.isfinite(util)]
ccdf = [(util >= x).mean() for x in grid]
ax.plot(grid, ccdf, color=ROUTER_COLOR[r], label=LABEL[r])
ax.set_yscale("log")
ax.set_xlabel("utilisation of a directed link in one step (packets forwarded / capacity in force)")
ax.set_ylabel("share of link-steps at or above this utilisation")
ax.set_xlim(0, 1)
ax.legend(loc="lower left")
ax.set_title(f"How often links run near saturation, episode {ep.id} ({'/'.join(str(v) for v in ep.cell.values())})")
save(fig, out, "link_utilisation", dpi)
def fig_potential_field(ds: Dataset, out: Path, dpi: int, episode: int, step: int, flow: int, **_) -> None:
ep = ds.episode(episode)
step = ep.nearest_logged_step(step)
phi = ep.field(step)[flow]
queue = ep.queue_depth("potential")[step].astype(np.float64) # int16 telemetry: widen before scaling
pos = layout(ep)
source, sink = int(ep.source[flow]), int(ep.sink[flow])
hops = ep.next_hops(step, phi[None, :])[0]
path = ep.descent_path(step, phi, source, sink)
fig, ax = plt.subplots(figsize=(8.5, 7))
draw_links(ax, ep, pos, ep.capacity_at(step), ep.capacity)
ax.add_collection(LineCollection(pos[np.stack([path[:-1], path[1:]], 1)], linewidths=3.2, colors=ACCENT,
zorder=2, label="descent path of the flow"))
valid = hops >= 0
start, end = pos[valid], pos[hops[valid]]
thin = min(1.0, (100 / ep.n_nodes) ** 0.5) # lighter arrows on large graphs
ax.quiver(start[:, 0], start[:, 1], (end - start)[:, 0] * 0.55, (end - start)[:, 1] * 0.55,
angles="xy", scale_units="xy", scale=1, width=0.0035 * thin, color=INK2, alpha=0.8, zorder=2,
headwidth=5, headlength=6, label="steepest-current next hop")
norm = Normalize(vmin=0, vmax=phi.max())
scatter = ax.scatter(pos[:, 0], pos[:, 1], s=18 + 160 * queue / ds.config.buffer_size, c=phi, cmap=BLUES, norm=norm,
edgecolors=SURFACE, linewidths=0.8, zorder=3)
ax.scatter(*pos[source], s=170, marker="s", facecolors="none", edgecolors=ACCENT, linewidths=2, zorder=4, label="source")
ax.scatter(*pos[sink], s=260, marker="*", facecolors="none", edgecolors=ACCENT, linewidths=2, zorder=4, label="sink")
clean_axes(ax)
fig.colorbar(scatter, ax=ax, label="potential of the flow (0 at its sink)", shrink=0.75)
ax.legend(loc="upper center", bbox_to_anchor=(0.5, -0.01), ncol=4, fontsize=8)
ax.set_title(f"Potential field of tracked flow {flow} ({source} to {sink}), episode {ep.id}, step {step}\n"
f"node size: buffer occupancy under the potential router; link width: base capacity")
save(fig, out, "potential_field", dpi)
def fig_delays(ds: Dataset, out: Path, dpi: int, **_) -> None:
flows = ds.summary("flow_summary")
flows = flows[flows.delivered > 0].copy()
flows["path_stretch"] = flows.mean_hops / flows.min_hops
routers = [r for r in ROUTERS if r in set(flows.router)]
fig, axes = plt.subplots(1, 2, figsize=(10, 3.8))
for ax, (column, label, log) in zip(axes, [("p99_delay", "flow p99 end-to-end delay (steps)", True),
("path_stretch", "flow path stretch (mean hops / shortest hops)", False)]):
data = [flows[flows.router == r][column].to_numpy() for r in routers]
boxes = ax.boxplot(data, vert=False, widths=0.6, showfliers=False, patch_artist=True,
medianprops={"color": INK, "linewidth": 1.2},
whiskerprops={"color": INK2, "linewidth": 0.8}, capprops={"color": INK2, "linewidth": 0.8})
for patch, r in zip(boxes["boxes"], routers):
patch.set(facecolor=ROUTER_COLOR[r], edgecolor=SURFACE, alpha=0.9)
ax.set_yticks(range(1, len(routers) + 1))
ax.set_yticklabels([LABEL[r] for r in routers])
ax.invert_yaxis()
ax.grid(axis="y", visible=False)
if log:
ax.set_xscale("log")
ax.set_xlabel(label)
fig.suptitle(f"Flow-level delay and path stretch per router ({flows.episode_id.nunique()} episodes, "
f"{len(flows) // len(routers):,} delivered flows each; boxes: quartiles, whiskers: 1.5 IQR)", y=1.02)
fig.tight_layout()
save(fig, out, "delays", dpi)
def fig_traffic_profiles(ds: Dataset, out: Path, dpi: int, **_) -> None:
episodes = ds.episodes
profiles = [p for p in TRAFFIC_PROFILES if p in set(episodes.traffic_profile)]
fig, axes = plt.subplots(len(profiles), 1, figsize=(10, 1.9 * len(profiles) + 0.6), sharex=True, squeeze=False)
order = {"heavy": 0, "moderate": 1, "light": 2}
for ax, profile in zip(axes[:, 0], profiles):
candidates = episodes[episodes.traffic_profile == profile]
eid = candidates.index[np.argsort(candidates.load_level.map(order).to_numpy(), kind="stable")[0]]
ep = ds.episode(eid)
f = int(np.argmax(np.asarray(ep.row.flow_mean_rate)[: ep.tracked_flows])) # largest tracked flow
flow = ep.telemetry("flow_telemetry", ds.routers[0], ["episode_id", "router", "step", "flow", "offered", "mmpp_state"])
flow = flow[flow.flow == f]
shade_bursts(ax, flow.mmpp_state.to_numpy() > 0)
ax.plot(flow.step, flow.offered, color=SERIES[0], linewidth=1.0)
ax.set_ylabel("packets / step", fontsize=8)
ax.set_ylim(bottom=0)
ax.set_title(f"{profile}: flow {f} of episode {eid} ({ep.row.load_level} load), mean rate "
f"{ep.row.flow_mean_rate[f]:.2f} packets/step (idle {ep.row.flow_idle_rate[f]:.2f}, "
f"burst {ep.row.flow_burst_rate[f]:.2f})", loc="left")
axes[-1, 0].set_xlabel("step (1 step = 1 ms)")
fig.suptitle("Traffic profiles: offered packets of one flow (grey bands: burst state)", y=1.0)
fig.tight_layout()
save(fig, out, "traffic_profiles", dpi)
def choose_episode(ds: Dataset) -> int:
"""A busy episode: heaviest load, burstiest profile and most dynamic level present."""
episodes = ds.episodes.reset_index()
rank = {"heavy": 0, "moderate": 1, "light": 2}, {"microburst": 0, "sustained": 1, "poisson": 2}, {"severe": 0, "moderate": 1, "static": 2}
key = (episodes.load_level.map(rank[0]) * 100 + episodes.traffic_profile.map(rank[1]) * 10
+ episodes.dynamics_level.map(rank[2]))
return int(episodes.episode_id[key.idxmin()])
def main() -> None:
parser = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter)
parser.add_argument("--data", type=Path, default=ROOT / "data", help="dataset folder (default: data/)")
parser.add_argument("--out", type=Path, default=ROOT / "figures", help="output folder (default: figures/)")
parser.add_argument("--figures", default="all", help="comma-separated subset of " + ",".join(FIGURES))
parser.add_argument("--episode", type=int, default=None, help="episode for the single-episode figures (default: a busy one)")
parser.add_argument("--step", type=int, default=500, help="step for the potential-field figure")
parser.add_argument("--flow", type=int, default=0, help="tracked flow for the potential-field figure")
parser.add_argument("--routers", default="potential,shortest_path", help="two routers for the timeline and heatmap")
parser.add_argument("--dpi", type=int, default=150)
parser.add_argument("--seed", type=int, default=0, help="bootstrap seed")
args = parser.parse_args()
style()
ds = Dataset(args.data)
wanted = FIGURES if args.figures == "all" else tuple(args.figures.split(","))
unknown = set(wanted) - set(FIGURES)
assert not unknown, f"unknown figures {unknown}; choose from {FIGURES}"
routers = tuple(args.routers.split(","))
assert all(r in ds.routers for r in routers), f"routers must be among {ds.routers}"
episode = choose_episode(ds) if args.episode is None else args.episode
print(f"{ds.path}: {len(ds.episodes)} episodes; single-episode figures use episode {episode}")
for name in wanted:
globals()[f"fig_{name}"](ds, args.out, args.dpi, seed=args.seed, episode=episode,
step=args.step, flow=args.flow, routers=routers)
if __name__ == "__main__":
main()
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