第三问的垃圾算法
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"""Offline Q3 search ablations for docs/algo-3.md; no official socket access.
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The production planner is unchanged. Only coverage and task scheduling vary.
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Run: python scripts/benchmark_q3_search.py --seeds 0,1,2,3,4
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"""
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from __future__ import annotations
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import argparse
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from dataclasses import asdict
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import hashlib
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import json
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import math
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from pathlib import Path
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from statistics import mean, median
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from time import perf_counter
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from mcm26b.belief import ChannelStatus
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from mcm26b.config import ProblemConfig
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from mcm26b.coverage import CoverageLedger
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from mcm26b.planner import OmnidirectionalLoop, clear_certificate
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from mcm26b.protocol.client import SimulatorClient
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from mcm26b.protocol.rules import NEAR
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from mcm26b.sim import LocalSimulator, LocalSimTransport, Source
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from mcm26b.sim.scenes import random_omni_scene
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RING_RADIUS_M = 1200.0 # Engineering choice; analytic proof in algo-3 section 5.
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ROOT = Path(__file__).resolve().parents[1]
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def seven_points():
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return [(0.0, 0.0)] + [(RING_RADIUS_M * math.cos(k * math.pi / 3),
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RING_RADIUS_M * math.sin(k * math.pi / 3)) for k in range(6)]
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class SevenImmediate(OmnidirectionalLoop):
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def __init__(self, client, config):
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super().__init__(client, config)
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self.ledger = CoverageLedger(config=config, points=seven_points())
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class SevenBatch(SevenImmediate):
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"""Finish scanning a station, then serve detected sources in nearest order."""
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defer_all = False
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def _serve_queue(self):
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# Each detected channel gets at most one localization call in this pass.
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queue = self.belief.channels_by_status(ChannelStatus.DETECTED)
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while queue:
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c = min(queue, key=lambda c: (math.dist(self.client.state.position,
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self.belief.candidate_set(c).mec()[0]), c))
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queue.remove(c)
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self._localize_and_clear(c)
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if self._count_limit_reached():
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break
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def _coverage_phase(self):
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while not self._count_limit_reached():
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index = self._next_point_index()
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if index is None:
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return
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point = self.ledger.points[index]
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pending = self._pending_channels_at(index)
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# Keeping the current measuring channel first saves a switch when possible.
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pending.sort(key=lambda c: (c != self.client.state.channel, c))
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for c in pending:
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outcome = self.client.measure(point, c)
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self.ledger.mark_measured(c, index)
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self.belief.update_measure(c, point, outcome.result, outcome.svd_deg)
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if outcome.result == NEAR:
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cert = clear_certificate(self.belief.candidate_set(c), c, self.config)
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# Same-station near clear; do not displace the station scan.
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if cert.certified:
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self._attempt_clear(c, point, cert)
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if self._count_limit_reached():
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return
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if not self.defer_all:
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self._serve_queue()
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def _resolve_detected(self):
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self._serve_queue()
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unresolved = [c for c, b in self.belief.channels.items()
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if b.status not in (ChannelStatus.CLEARED, ChannelStatus.ABSENT)]
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return "all_resolved" if not unresolved else "unresolved_channels"
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class SevenSweep(SevenBatch):
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"""Finish discovery at all necessary stations before servicing the queue."""
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defer_all = True
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VARIANTS = {"grid49_immediate": OmnidirectionalLoop, "seven_immediate": SevenImmediate,
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"seven_batch": SevenBatch, "seven_sweep": SevenSweep}
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def run_case(name, sources, error_seed, out):
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scene_path = out / "scenes" / f"{name}.json"
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scene_path.parent.mkdir(parents=True, exist_ok=True)
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scene_path.write_text(json.dumps({"sources": [asdict(s) for s in sources],
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"error_seed": error_seed}, indent=2), encoding="utf-8")
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config = ProblemConfig()
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rows = []
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for label, cls in VARIANTS.items():
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sim = LocalSimulator(sources, robot_id="Q3-ABLATION", config=config, error_seed=error_seed)
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client = SimulatorClient("Q3-ABLATION", config=config, transport=LocalSimTransport(sim))
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loop = cls(client, config)
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start = perf_counter()
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summary = loop.run()
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elapsed = perf_counter() - start
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actions = client.log.action_events()
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log_path = out / "actions" / f"{name}-{label}.jsonl"
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log_path.parent.mkdir(parents=True, exist_ok=True)
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with log_path.open("w", encoding="utf-8") as handle:
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for event in actions:
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handle.write(json.dumps(event, ensure_ascii=False) + "\n")
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truth = {s.channel for s in sources}
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absent = set(range(1, 21)) - truth
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absence_valid = all(loop.ledger.coverage_complete(c) for c in summary["absent_channels"])
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row = {"case": name, "variant": label, "source_count": len(sources),
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"all_cleared": sim.cleared == truth, "completed": summary["completed"],
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"correct_absence": set(summary["absent_channels"]) <= absent and absence_valid,
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"normal_exit": summary["exit_reason"] == "user_exit",
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"virtual_time_s": sim.virtual_time_s, "measures": summary["measures"],
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"clears": summary["clears"], "failed_clears": summary["clears"]-len(sim.cleared),
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"distance_m": summary["move_distance_m"], "compute_wall_s": elapsed,
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"anomalies": summary["anomalies"], "stop_reason": summary["stop_reason"],
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"last_clear_s": max((e["response"]["virtual_time_s"] for e in actions
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if e["path"] == "/clear" and
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e["response"].get("clear_result") == "success"), default=0),
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"actions_file": str(log_path.relative_to(out)),
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"actions_sha256": hashlib.sha256(log_path.read_bytes()).hexdigest()}
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rows.append(row)
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print(f"{name} {label}: all_cleared={row['all_cleared']} T={row['virtual_time_s']:.1f}s M={row['measures']}", flush=True)
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return rows
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def geometry_check():
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points = seven_points()
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field = ProblemConfig().field
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# Exact radial-sector argument: switch nearest site at r=a/sqrt(3).
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crossover = RING_RADIUS_M / math.sqrt(3)
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boundary = math.sqrt(field.omega_radius_m**2 + RING_RADIUS_M**2
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- math.sqrt(3)*field.omega_radius_m*RING_RADIUS_M)
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analytic = max(crossover, boundary)
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worst = (0.0, None)
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for ir in range(181):
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r = field.omega_radius_m * ir / 180
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for ia in range(721):
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angle = 2 * math.pi * ia / 720
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p = (r*math.cos(angle), r*math.sin(angle))
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d = min(math.dist(p, s) for s in points)
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if d > worst[0]:
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worst = (d, p)
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return {"ring_radius_m": RING_RADIUS_M, "points": points,
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"analytic_cover_radius_m": analytic, "reception_margin_m": field.r_eff_min_m-analytic,
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"sampled_max_distance_m": worst[0], "sampled_worst_point": worst[1],
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"samples": 181*721,
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"passed": worst[0] <= analytic+1e-8 and analytic < field.r_eff_min_m,
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"note": "Grid samples check the derivation; the sector proof establishes continuous coverage."}
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def main():
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parser = argparse.ArgumentParser(description=__doc__)
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parser.add_argument("--seeds", default="0,1,2,3,4")
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parser.add_argument("--out", type=Path, default=ROOT/"output/q3/search-ablation")
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args = parser.parse_args()
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args.out.mkdir(parents=True, exist_ok=True)
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rows = []
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for count in (10, 16):
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for seed in [int(s) for s in args.seeds.split(",")]:
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rows.extend(run_case(f"random-{count}-seed{seed}", random_omni_scene(seed, count),
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20260910+seed, args.out))
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# Sources on the exact outer boundary at sector seams; minimum receiving radius.
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edge = [Source(c+1, 1800*math.cos(math.pi/6+2*math.pi*c/count),
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1800*math.sin(math.pi/6+2*math.pi*c/count), 1000) for c in range(count)]
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rows.extend(run_case(f"boundary-{count}", edge, 20260910, args.out))
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aggregates = {}
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for label in VARIANTS:
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part = [r for r in rows if r["variant"] == label]
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baseline = {r["case"]: r for r in rows if r["variant"] == "grid49_immediate"}
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savings = [1-r["virtual_time_s"]/baseline[r["case"]]["virtual_time_s"] for r in part]
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aggregates[label] = {
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"runs": len(part), "all_cleared_runs": sum(r["all_cleared"] for r in part),
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"valid_runs": sum(r["all_cleared"] and r["completed"] and r["correct_absence"]
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and r["normal_exit"] and not r["anomalies"] for r in part),
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"mean_virtual_s": mean(r["virtual_time_s"] for r in part),
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"median_virtual_s": median(r["virtual_time_s"] for r in part),
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"max_virtual_s": max(r["virtual_time_s"] for r in part),
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"mean_measures": mean(r["measures"] for r in part),
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"mean_distance_m": mean(r["distance_m"] for r in part),
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"mean_compute_wall_s": mean(r["compute_wall_s"] for r in part),
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"mean_paired_time_reduction": mean(savings),
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"min_paired_time_reduction": min(savings),
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"max_paired_time_reduction": max(savings),
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"failed_clears": sum(r["failed_clears"] for r in part),
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}
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result = {"source": "local_simulator_only", "production_algorithm_modified": False,
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"seeds": args.seeds, "config": asdict(ProblemConfig()),
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"geometry": geometry_check(), "aggregates": aggregates, "runs": rows,
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"limitations": "Same scene and fixed per-position error field for each variant; synthetic data, not an official improvement estimate. Only search/scheduling is changed; no posterior or localizer redesign."}
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(args.out/"benchmark.json").write_text(json.dumps(result, ensure_ascii=False, indent=2), encoding="utf-8")
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print(json.dumps(aggregates, ensure_ascii=False, indent=2))
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return 0 if result["geometry"]["passed"] and all(a["valid_runs"] == a["runs"] for a in aggregates.values()) else 1
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if __name__ == "__main__":
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raise SystemExit(main())
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"""Run SevenBatch on an already authorized official Q3 practice session.
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Does not start a practice/formal test. All actions use the documented HTTP API.
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"""
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import argparse
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from dataclasses import asdict, replace
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from datetime import datetime
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import hashlib
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import json
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from pathlib import Path
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import time
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from benchmark_q3_search import SevenBatch, seven_points
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from mcm26b.config import ProblemConfig
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from mcm26b.protocol.client import SimulatorClient
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from mcm26b.protocol.log import SessionLog
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def main():
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parser = argparse.ArgumentParser(description=__doc__)
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parser.add_argument("--robot-id", required=True)
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parser.add_argument("--practice-confirmed", action="store_true", required=True)
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parser.add_argument("--base-url", default="http://127.0.0.1:2026")
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parser.add_argument("--output", type=Path, required=True)
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args = parser.parse_args()
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args.output.mkdir(parents=True, exist_ok=False)
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config = ProblemConfig()
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config = replace(config, session=replace(config.session, base_url=args.base_url))
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root = Path(__file__).resolve().parents[1]
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paths = [Path(__file__).resolve(), root / "scripts/benchmark_q3_search.py",
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*sorted((root / "src/mcm26b").rglob("*.py"))]
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metadata = {"source": "official_practice", "problem": 3,
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"strategy": "seven_batch", "started_local": datetime.now().astimezone().isoformat(),
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"config": asdict(config), "coverage_points": seven_points(),
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"source_sha256": {str(p.relative_to(root)): hashlib.sha256(p.read_bytes()).hexdigest()
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for p in paths}}
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def save(name, value):
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(args.output / name).write_text(json.dumps(value, ensure_ascii=False, indent=2,
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allow_nan=False) + "\n", encoding="utf-8")
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save("run_metadata.json", metadata)
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log = SessionLog(path=args.output / "session.jsonl")
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client = SimulatorClient(args.robot_id, config=config, log=log)
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started = time.perf_counter()
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summary = SevenBatch(client, config).run()
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summary.update(robot_id=args.robot_id, strategy="seven_batch",
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real_wall_s=time.perf_counter()-started)
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save("summary.json", summary)
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print(json.dumps(summary, ensure_ascii=False, indent=2))
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return 0 if summary["completed"] and summary["exit_reason"] == "user_exit" else 1
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if __name__ == "__main__":
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raise SystemExit(main())
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@@ -0,0 +1,237 @@
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"""Offline audit of an official Q3 run; never connects to the simulator.
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Usage: python scripts/verify_q3_practice.py output/q3/practice/20260911-port2026
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Preserves session.jsonl and summary.json; writes derived audit artifacts only.
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"""
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from __future__ import annotations
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import argparse
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import csv
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from dataclasses import asdict
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from datetime import datetime
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import hashlib
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import json
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import math
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from pathlib import Path
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from urllib.parse import urlsplit
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from benchmark_q3_search import SevenBatch, seven_points
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from mcm26b.config import ProblemConfig
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from mcm26b.coverage import coverage_points
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from mcm26b.evaluation import recompute_virtual_time
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from mcm26b.planner import OmnidirectionalLoop
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from mcm26b.protocol.client import SimulatorClient
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from mcm26b.sim.playback import PlaybackTransport
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class StrictPlayback(PlaybackTransport):
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"""Check complete action content, not merely the sequence of API paths."""
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def post(self, url, body, headers, timeout):
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if self.index >= len(self.events):
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raise AssertionError("Replay attempted an extra action")
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expected = self.events[self.index]
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actual_request = json.loads(body)
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without_id = lambda value: {k: v for k, v in value.items() if k != "request_id"}
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if (urlsplit(url).path != expected["path"] or
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without_id(actual_request) != without_id(expected["request"])):
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raise AssertionError(f"Replay action differs at index {self.index}")
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return super().post(url, body, headers, timeout)
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class AuditMixin:
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def __init__(self, client, config):
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super().__init__(client, config)
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self.certificates = []
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def _attempt_clear(self, channel, target, cert):
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vertices = self.belief.candidate_set(channel).polygon
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self.certificates.append({**asdict(cert), "submitted_position": target,
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"submitted_max_vertex_distance_m":
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max(math.dist(target, v) for v in vertices)})
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return super()._attempt_clear(channel, target, cert)
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class AuditedLoop(AuditMixin, OmnidirectionalLoop):
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pass
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class AuditedSevenBatch(AuditMixin, SevenBatch):
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pass
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def save_json(path, value):
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path.write_text(json.dumps(value, ensure_ascii=False, indent=2,
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allow_nan=False) + "\n", encoding="utf-8")
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def audit(folder: Path) -> dict:
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records = [json.loads(line) for line in
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(folder / "session.jsonl").read_text(encoding="utf-8").splitlines()]
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events = [e for e in records if e.get("event") == "accepted"]
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original = json.loads((folder / "summary.json").read_text(encoding="utf-8-sig"))
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strategy = original.get("strategy", "grid49_immediate")
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if strategy not in ("grid49_immediate", "seven_batch"):
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raise ValueError(f"Unsupported strategy: {strategy}")
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official_paths = list(folder.glob("*.result.json"))
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if len(official_paths) != 1 or not events:
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raise ValueError("Expected one official result and nonempty session evidence")
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official_path = official_paths[0]
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official = json.loads(official_path.read_text(encoding="utf-8"))
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package = official_path.with_name(official_path.name.replace(".result.json", ".jlog"))
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checks = {}
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checks["official_problem_3_all_omnidirectional"] = (
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official["problem_no"] == 3 and official["directional_jammer_count"] == 0
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and 10 <= official["jammer_count"] <= 16
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and official["omnidirectional_jammer_count"] == official["jammer_count"])
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checks["official_package_sha256_matches"] = (
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hashlib.sha256(package.read_bytes()).hexdigest() == official["package_sha256"])
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checks["normal_enter_and_exit"] = (
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events[0]["path"] == "/enter" and events[-1]["path"] == "/exit"
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and events[-1]["response"].get("exit_reason") == "user_exit")
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start_ms = datetime.fromisoformat(official["window_started_at_utc"]).timestamp() * 1000
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end_ms = datetime.fromisoformat(official["ended_at_utc"]).timestamp() * 1000
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checks["responses_within_official_run_window"] = all(
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start_ms <= e["response"]["real_timestamp_ms"] <= end_ms + 1 for e in events)
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ids = [e["request"]["request_id"] for e in events]
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checks["unique_accepted_request_ids"] = len(ids) == len(set(ids))
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checks["no_rejections_or_retries"] = (
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len(records) == 2 * len(events)
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and all(e.get("attempts") == 1 for e in events)
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and all(records[2*i].get("event") == "attempt"
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and records[2*i]["request"] == e["request"]
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and records[2*i+1] == e for i, e in enumerate(events)))
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clears = [e for e in events if e["path"] == "/clear"]
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successes = [e for e in clears if e["response"].get("clear_result") == "success"]
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cleared = sorted({e["request"]["channel"] for e in successes})
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checks["all_official_sources_cleared"] = len(cleared) == official["jammer_count"]
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checks["every_clear_succeeded_once"] = len(clears) == len(successes) == len(cleared)
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checks["original_summary_completed"] = (
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original["completed"] and original["cleared_channels"] == cleared
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and original["unresolved_channels"] == [] and original["anomalies"] == [])
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grid = set(seven_points() if strategy == "seven_batch" else coverage_points())
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absent_coverage = {}
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for channel in sorted(set(range(1, 21)) - set(cleared)):
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channel_events = [e for e in events if e["path"] == "/measure"
|
||||
and e["request"]["channel"] == channel]
|
||||
points = {(e["request"]["position"]["x"], e["request"]["position"]["y"])
|
||||
for e in channel_events if e["response"]["measure_result"] == "no_signal"}
|
||||
absent_coverage[str(channel)] = {
|
||||
"grid_points_measured": len(points & grid), "required_grid_points": len(grid),
|
||||
"all_no_signal": all(e["response"]["measure_result"] == "no_signal"
|
||||
for e in channel_events),
|
||||
"complete": grid <= points,
|
||||
}
|
||||
checks["absent_channels_fully_covered"] = all(
|
||||
item["complete"] and item["all_no_signal"] for item in absent_coverage.values())
|
||||
|
||||
# Official attachment 2 section 4.1: accumulate virtual time in microseconds.
|
||||
# Round each move to the nearest microsecond, then add integer action costs.
|
||||
position, channel, virtual_us = (0.0, 0.0), 1, 0
|
||||
distance_total, switch_total, move_total_us = 0.0, 0, 0
|
||||
rows = []
|
||||
previous_recorded = 0.0
|
||||
max_local_gap = 0.0
|
||||
for i, event in enumerate(events):
|
||||
request, response, path = event["request"], event["response"], event["path"]
|
||||
distance, switches, action_s = 0.0, 0, 0
|
||||
if path in ("/measure", "/clear"):
|
||||
target = (request["position"]["x"], request["position"]["y"])
|
||||
distance = math.dist(position, target)
|
||||
position = target
|
||||
if path == "/measure":
|
||||
switches = int(channel != request["channel"])
|
||||
channel = request["channel"]
|
||||
action_s = 5
|
||||
else:
|
||||
action_s = 5 if response["clear_result"] == "success" else 3
|
||||
move_us = round(distance / 5 * 1_000_000)
|
||||
virtual_us += move_us + (switches + action_s) * 1_000_000
|
||||
distance_total += distance
|
||||
switch_total += switches
|
||||
move_total_us += move_us
|
||||
recorded = response["virtual_time_s"]
|
||||
gap_us = round(recorded * 1_000_000) - virtual_us
|
||||
max_local_gap = max(max_local_gap,
|
||||
abs(recorded - previous_recorded - distance/5 - switches - action_s))
|
||||
previous_recorded = recorded
|
||||
rows.append({"index": i, "path": path, "request_id": request["request_id"],
|
||||
"channel": request.get("channel", ""), "x": position[0], "y": position[1],
|
||||
"result": response.get("measure_result", response.get("clear_result", "")),
|
||||
"svd_deg": response.get("svd_deg", ""), "distance_m": distance,
|
||||
"move_us": move_us, "switch_s": switches, "action_s": action_s,
|
||||
"recomputed_us": virtual_us, "recorded_s": recorded, "gap_us": gap_us})
|
||||
checks["all_timestamps_match_microsecond_recomputation"] = all(r["gap_us"] == 0 for r in rows)
|
||||
real_s = (events[-1]["response"]["real_timestamp_ms"] -
|
||||
events[0]["response"]["real_timestamp_ms"]) / 1000
|
||||
checks["within_real_and_virtual_limits"] = (
|
||||
real_s < events[0]["response"]["remaining_real_duration_s"]
|
||||
and virtual_us / 1_000_000 < events[0]["response"]["max_virtual_duration_s"])
|
||||
|
||||
# Exact action replay independently checks decisions using only recorded responses.
|
||||
transport = StrictPlayback(events)
|
||||
config = ProblemConfig()
|
||||
client = SimulatorClient(original["robot_id"], transport=transport, config=config,
|
||||
clock=lambda: 0.0)
|
||||
loop = (AuditedSevenBatch if strategy == "seven_batch" else AuditedLoop)(client, config)
|
||||
replay_summary = loop.run()
|
||||
checks["deterministic_action_replay"] = (
|
||||
transport.index == len(events) and replay_summary["completed"]
|
||||
and all(replay_summary[k] == original[k] for k in
|
||||
("stop_reason", "cleared_channels", "absent_channels", "measures", "clears")))
|
||||
checks["all_clear_certificates_valid"] = (
|
||||
len(loop.certificates) == len(clears)
|
||||
and all(c["certified"] and c["radius_m"] <= c["limit_m"] < 20
|
||||
and c["submitted_max_vertex_distance_m"] <= c["limit_m"]
|
||||
for c in loop.certificates))
|
||||
raw_timing = recompute_virtual_time(events)
|
||||
report = {
|
||||
"passed": all(checks.values()), "source": "official_practice", "strategy": strategy,
|
||||
"case_code": official["case_code"], "checks": checks,
|
||||
"official_jammer_count": official["jammer_count"], "cleared_channels": cleared,
|
||||
"absent_channel_coverage": absent_coverage,
|
||||
"accepted_requests_including_enter_exit": len(events),
|
||||
"measures": len([e for e in events if e["path"] == "/measure"]),
|
||||
"clear_attempts": len(clears), "clear_successes": len(successes),
|
||||
"real_elapsed_server_s": real_s,
|
||||
"real_elapsed_local_s": events[-1]["logged_at_unix_s"] - events[0]["logged_at_unix_s"],
|
||||
"virtual_time_s": virtual_us / 1_000_000,
|
||||
"last_clear_virtual_time_s": successes[-1]["response"]["virtual_time_s"],
|
||||
"move_distance_m": distance_total, "move_time_s": move_total_us / 1_000_000,
|
||||
"switch_time_s": switch_total,
|
||||
"measurement_time_s": sum(r["action_s"] for r in rows if r["path"] == "/measure"),
|
||||
"clear_time_s": sum(r["action_s"] for r in rows if r["path"] == "/clear"),
|
||||
"timing_audit": {
|
||||
"original_unquantized_mismatch_count": len(raw_timing["mismatches"]),
|
||||
"original_unquantized_final_gap_s": previous_recorded - raw_timing["final_virtual_time_s"],
|
||||
"max_single_action_unquantized_gap_s": max_local_gap,
|
||||
"microsecond_mismatch_count": sum(r["gap_us"] != 0 for r in rows),
|
||||
"explanation": "原复算累计未量化浮点耗时;按动作移动耗时取最近整数微秒后,所有官方时刻完全一致。",
|
||||
},
|
||||
"clear_certificates": loop.certificates,
|
||||
"limits": "仅验证当前官方演练案例;不证明所有案例或时间最优性。官方加密日志保持原样,未解密。",
|
||||
}
|
||||
with (folder / "actions.csv").open("w", encoding="utf-8-sig", newline="") as handle:
|
||||
writer = csv.DictWriter(handle, fieldnames=list(rows[0]))
|
||||
writer.writeheader()
|
||||
writer.writerows(rows)
|
||||
save_json(folder / "verification.json", report)
|
||||
save_json(folder / "replay_summary.json", replay_summary)
|
||||
manifest = {p.name: {"bytes": p.stat().st_size,
|
||||
"sha256": hashlib.sha256(p.read_bytes()).hexdigest()}
|
||||
for p in sorted(folder.iterdir()) if p.is_file() and p.name != "manifest.json"}
|
||||
save_json(folder / "manifest.json", manifest)
|
||||
return report
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
parser = argparse.ArgumentParser(description=__doc__)
|
||||
parser.add_argument("folder", type=Path)
|
||||
args = parser.parse_args()
|
||||
result = audit(args.folder)
|
||||
print(json.dumps({"passed": result["passed"], "case_code": result["case_code"],
|
||||
"checks": result["checks"]}, ensure_ascii=False, indent=2))
|
||||
raise SystemExit(0 if result["passed"] else 1)
|
||||
Reference in New Issue
Block a user