didericis
9d7cb7644e
Add experiments/draw_medial_tire_cut.py, the paper-graphics companion that imports run_experiment and emits a TikZ panel (walk-depth labels + cut slits) per recognised tread via to_tikz. Add the resulting figure (Example 3.2, Figure 2): the single recognised tread T_2 of the medial tire decomposition of a random maximal planar graph on 20 vertices (seed 72), an 8-cycle piece with a bite, labelled and cut. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
64 lines
2.4 KiB
Python
64 lines
2.4 KiB
Python
"""Draw the walk-depth labelling and cut of a medial tire decomposition.
|
|
|
|
Paper-graphics companion to ``run_medial_tire_cut_experiment.py``: it imports
|
|
``run_experiment`` from there, runs the pipeline on a random maximal planar
|
|
graph, and emits a TikZ ``tikzpicture`` (walk-depth labels + cut slits) for each
|
|
recognised full medial tire graph of the decomposition, using ``to_tikz`` from
|
|
``medial_tire_cut_labelling``.
|
|
|
|
This script only renders; the experiment itself draws nothing. Run with the
|
|
repo venv (networkx): ``.venv/bin/python``.
|
|
|
|
Example:
|
|
.venv/bin/python draw_medial_tire_cut.py -n 20 --seed 72 > panels.tex
|
|
"""
|
|
|
|
from __future__ import annotations
|
|
|
|
import argparse
|
|
import os
|
|
import sys
|
|
|
|
_HERE = os.path.dirname(os.path.abspath(__file__))
|
|
sys.path.insert(0, _HERE)
|
|
|
|
from run_medial_tire_cut_experiment import run_experiment # noqa: E402
|
|
from medial_tire_cut_labelling import to_tikz # noqa: E402
|
|
|
|
|
|
def tikz_panels(n: int, seed: int, scale: float = 1.6) -> tuple[dict, list[str]]:
|
|
"""Run the experiment and return ``(result, panels)``, one TikZ panel per
|
|
recognised tread, each showing that tread's walk-depth labelling and cut."""
|
|
result = run_experiment(n=n, seed=seed)
|
|
panels = []
|
|
for d in sorted(result["results"]):
|
|
rec = result["results"][d]
|
|
panels.append(to_tikz(rec["g"], depth=rec["depth"], cuts=rec["cuts"],
|
|
entry_edge=rec["entry_edge"], scale=scale))
|
|
return result, panels
|
|
|
|
|
|
def main() -> None:
|
|
parser = argparse.ArgumentParser(description=__doc__,
|
|
formatter_class=argparse.RawDescriptionHelpFormatter)
|
|
parser.add_argument("-n", type=int, default=20)
|
|
parser.add_argument("--seed", type=int, default=72)
|
|
parser.add_argument("--scale", type=float, default=1.6)
|
|
args = parser.parse_args()
|
|
|
|
result, panels = tikz_panels(args.n, args.seed, scale=args.scale)
|
|
treads = sorted(result["results"])
|
|
print(f"% medial tire cut: n={args.n} seed={args.seed} "
|
|
f"source={result['source']} recognised treads={treads}")
|
|
if not panels:
|
|
print("% (no recognised full medial tire graphs for this graph)")
|
|
for d, panel in zip(treads, panels):
|
|
g = result["results"][d]["g"]
|
|
print(f"% --- tread {d}: |A(T)|={g.n} word={g.tooth_word} "
|
|
f"bites={sorted(g.bites)} ---")
|
|
print(panel)
|
|
|
|
|
|
if __name__ == "__main__":
|
|
main()
|