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+.piptmp/ +.pytest_cache/ +.mypy_cache/ +.ruff_cache/ +.ipynb_checkpoints/ + +# 构建与打包产物 build/ dist/ wheels/ -*.egg-info -# Virtual environments -.venv - -# Sim +# ---------- 运行期产生:不进版本控制 ---------- +# 官方模拟器本体与判题留档(体积大且需官方环境) Jammers*/ +# 官方演练采集产物(问题一观测、回放归档、评测机日志) +output/ +# 本机临时工作区:历史留档、截图、中间草稿等 tmp/ +# 构建 Python 包时使用的临时目录 +.piptmp/ +uv-temp/ +pip-temp/ -# MATLAB 出图日志 -scripts/matlab/*.log +# referee-data/ 是论文正文数据的来源,纳入版本控制(含演练与正式日志)。 +# 其中登录标识已统一为中性占位符,不包含参赛队号。 -# LaTeX build artifacts +# ---------- LaTeX 编译产物 ---------- docs/paper/build/ docs/paper/*.aux docs/paper/*.log @@ -25,12 +45,13 @@ docs/paper/*.fls docs/paper/*.fdb_latexmk docs/paper/*.xdv docs/paper/*.synctex.gz +# 支撑包是脚本产物(scripts/build_paper_support.py --package),不入库 +docs/paper/support-materials.zip -# pytest -.pytest_cache/ - -# Jupyter -.ipynb_checkpoints/ - -# 1 -output/ \ No newline at end of file +# ---------- 编辑器 / 操作系统 ---------- +.vscode/* +!.vscode/settings.json +.idea/ +.zcode/ +.DS_Store +Thumbs.db diff --git a/.zcode/plans/plan-sess_4d6694a9-3cc0-4ded-bca4-4a58061ec3fa.md b/.zcode/plans/plan-sess_4d6694a9-3cc0-4ded-bca4-4a58061ec3fa.md deleted file mode 100644 index 0f58ccc..0000000 --- a/.zcode/plans/plan-sess_4d6694a9-3cc0-4ded-bca4-4a58061ec3fa.md +++ /dev/null @@ -1,60 +0,0 @@ -# 修复计划:7 项 P2 问题 + 3 项规划调整 - -已核实:7 个问题的定位与审核报告一致;另确认关联缺陷 `planner/__init__.py:392` 用 `>` 判断遮挡预算(实际放行 5 个被遮挡探点,注释口径为 4)。用户已确认:环探保留启发式+重写依据;误差场采用逐点白噪声哈希。 - -## 修改一:模拟器固定误差场(问题1) -文件 `src/mcm26b/sim/simulator.py`: -- 新增 `_bearing_error(channel, pos)`:`sha256(f"{error_seed}|{channel}|{round(x,6)}|{round(y,6)}")` 前 8 字节映射到 `[-error_half_deg, +error_half_deg)`。同一(源频道, 位置)读数恒定,不同点独立。 -- `_observe`(L193)改为调用它;删除顺序随机流 `self._rng`(构造参数 `error_seed` 保留)。 -- 模块 docstring 更新:同位置误差固定;分布仍是测试假设。 -- 新增测试:同位置重复测量(不同 request_id)svd_deg 相同;同种子两次构造结果一致。 - -## 修改二:Q4 对跖探点公式(问题2) -文件 `src/mcm26b/planner/__init__.py`(L440-447): -- L447:`dx / norm * scale` → `dx * scale`(dy 同理),使偏移模长 = `min(norm, safe)`。圆心为原点、原探点 (200,0)、safe≥200 时返回 (-200,0)。 -- L444 退化分支:`min(safe, 1.0)` → `safe`(方向 +x),不再钳到 1m。 -- 新增单测:对跖点坐标(safe≥norm 与 safe` → `>=`,`config.py:85` 注释与文档同步为"4 个被遮挡探点(选点/对跖/环探×2)"。 -- 新增 `scripts/benchmark_q4.py`:批量种子扫描(`--problem 4`,可配源数/定向数/种子范围/输出路径),逐局记录 measures、clears、后备清除格数与 attempts、virtual_time、completed,落盘 `output/q4/benchmark.json` 并打印汇总表——用于验证修复后的后备清除成本(审核"验证后备成本"要求),同时为论文问题4结果表提供可复现数字。 - -## 修改四:通信失败可靠收尾(问题4) -文件 `planner/__init__.py` `run()`(L195-205): -- `client.enter()` 纳入 try;except 顺序:`DeadlineExceeded` → `(TransportError, ProtocolError, InconsistentBelief)` → `Exception` 兜底;stop_reason 分别记 `real_budget_exhausted` / `transport_failure` / `protocol_error` / `inconsistent_belief` / `unexpected_error`,summary 增 `abort_detail`(异常类型+消息,截断)。 -- `/exit` 改为尽力而为:`client.exit()` 失败不再中断收尾;`_summary` 接受 `info=None`(`exit_reason="exit_unreachable"`,virtual_time 取 `client.state.virtual_time_s`)。 -- summary 增 `channel_status` 快照(每频道状态 + 候选 MEC 半径,约 20 条)——即"保存未完成状态";`--log` 的 JSONL 本就有全过程留痕。 -- cli.py 无需改(`completed=false` 已映射退出码 1)。 -- 新增测试:注入连续三次传输失败(若 `ScriptedFaultTransport` 不支持持久失败则扩展其故障类型),断言 `run()` 正常返回 summary 不抛异常、有 /exit 尝试留痕、退出码路径为 1。 - -## 修改五:Q1 近平行退化情形(问题5) -文件 `src/mcm26b/geometry/localization.py`(L216-226): -- 衰退方向判定改为对浮点平面系数的精确有理数运算(`Fraction`):候选方向仍枚举各平面法线的垂直方向 `(b,-a)/(-b,a)`;先用浮点快速预筛(max > 1e-9 直接排除,浮点误差远小于该阈值),近零候选再用 Fraction 精确检验 `∀(d,e,f): d·dir_x + e·dir_y ≤ 0`。平面系数本身是 float(精确有理数),故结论对量化输入精确,消除 2e-14 阈值与顶点过滤 eps=1e-9 的口径错配导致的漏判。 -- 顶点枚举与 `PARALLEL_EPS` 预筛保持现状。 -- 回归测试:审核复现输入 `[(0,0,1°), (0,0.01,358.99999999999°)]` → `status=unbounded`、`diameter_infinite=true`、不给清除保证;`scripts/benchmark_q1.py` 两档结果不回归。 - -## 修改六:默认舍入裕量统一(问题6) -- `config.py:75`:`bearing_rounding_margin_deg` 默认 `0.0` → `0.005`,注释改为"覆盖服务器两位小数舍入偏差(≤0.005°);库默认与 CLI 默认一致"。 -- `q1` 子命令与 `geometry/__main__.py` 的 `--rounding-margin-deg` 默认保持 0(离线敏感性分析语义不变,审核未要求改)。 -- 新增断言 `SearchConfig().bearing_rounding_margin_deg == 0.005`,并用默认配置复跑"边缘读数保留真源"场景;检查显式传参的现有测试不受影响;README 如有默认值描述一并更新。 - -## 修改七:后验评分补 near 分支(问题7) -文件 `planner/__init__.py` `_worst_posterior_radius`(L93-110): -- 增加 near 分支:`probe.clip_disk(q, field.near_radius_m, search.polygon_sides)`,多边形非空则纳入 max;direction 端点分支保留,docstring 说明 safe 盘内 no_signal 不可能故不枚举。 -- 调用点(粗评/加密复评两处)传入 `near_radius_m` 与 `polygon_sides`。 -- 新增测试:候选集 `[(-4,0),(4,0)]`(两点退化区域)、q=原点 → 最坏后验 ≈ 4m(修复前报 2m);`test_loop_q3/q4` 场景回归(选点可能变化,但断言均为清除状态类,预期无碍)。 - -## 规划调整落地 -- **A(第二问定位)**:`docs/algo-2.md` §13(L231 附近)明确交付为"安全选点的启发式基线":解析安全盘证书已实现并证明;§10 区间上界未实现,采样最大值仅作粗筛,不得称严格最坏上界。 -- **B(第三问)**:无代码改动;顺序约束(先修改一/四,再官方演练)在 `docs/B题建模分析与实施计划.md` 演练清单处注明。 -- **C(第四问预算口径)**:`_summary` 增 `total_requests`(measures+clears);`DirectionalExtension._summary` 增 `fallback_clear_attempts`(Σ attempts);`docs/协议规则表与状态机.md` §7 后备清除段注明"后备 /clear 请求计入总请求与现实预算"。 - -## 测试与验收 -- 每项修改配单测(新增约 10-12 项),全套 pytest 通过(95 → ~107 项)。 -- 冒烟:`uv run mcm26b sim-check`;`uv run mcm26b run --problem 3/4 --self-test` 若干种子。 -- 运行 `scripts/benchmark_q4.py` 记录修复后后备成本,输出落盘。 - -## 执行顺序 -修改一(模拟器)→ 修改四(收尾)→ 修改六 → 修改七 → 修改二 → 修改三 → 修改五 → 文档同步 → 全量回归。 \ No newline at end of file diff --git a/.zcode/plans/plan-sess_f2eec9cb-6a04-41a3-9d72-ce6ab4455a52.md b/.zcode/plans/plan-sess_f2eec9cb-6a04-41a3-9d72-ce6ab4455a52.md deleted file mode 100644 index 9387df9..0000000 --- a/.zcode/plans/plan-sess_f2eec9cb-6a04-41a3-9d72-ce6ab4455a52.md +++ /dev/null @@ -1,80 +0,0 @@ -# 目标 - -在新分支 **`q3-bayes`**(基于当前 `gpt`)实现第三问新算法:**网格化贝叶斯粒子滤波(含负观测更新)+ 信息增益选点 + 开放路径 2-opt 任务排序 + 七点覆盖兜底 + Optuna 离线调参**。评分口径 = 虚拟总时间(A2 基线:官方演练 12 源 5232s、109 次检测);硬性要求全清率 100%、缺席证明正确、零异常。 - -# 关键设计 - -## 1. 粒子滤波 `src/mcm26b/particles.py`(新建) - -与用户方案的差异点:本项目要求清除证书/缺席证明**严格**(A2 靠保守几何证书做到 100% 清除率),软核概率 PF 有删掉真源的风险。因此采用**网格幸存集滤波**(= 硬似然 PF + Voronoi 裕量,与用户"|θ̂−θ|>1° 权重置零"的设定一致但更严格): - -- 每频道一组 Ω 上间距 h≈30m 的网格粒子(约 1.1 万格,alive 用整数索引集合;空间哈希加速邻域查询) -- 保守 kill 判定(margin = h·√2/2,保证真源所在格必活): - - `no_signal`@s:kill dist(g,s) ≤ 1000 − margin(题面 r_eff ≥ 1000 ⟹ 可严格排除该盘) - - `direction`@s 读数 θ:kill 角向偏差超出 δ_eff=1.005°(含余量)或 dist > 1500 + margin 的格 - - `near`@s:kill dist(g,s) > 5 + margin -- 证书全部由此推导:清除证书 = MEC(alive).R + margin ≤ 20 − clear_margin;**缺席证明 = alive 为空集**(无需额外像素覆盖检查);跳测规则 = min dist(alive, s) > 1500 + margin ⟹ 必 no_signal,跳过省 6s/次 -- 信息增益:对候选点用子采样(≤500 粒子)× K 个代表假设做 MC 期望熵减估计;复用 `smallest_enclosing_circle`(Welzl) 求 MEC - -## 2. 新策略 `BayesLoop(OmnidirectionalLoop)`(`src/mcm26b/planner/bayes_loop.py`) - -复用基类 run() 骨架、异常收尾、summary、anomaly、预算机制,重写阶段逻辑: -- **发现阶段**:原点起扫(频道排序省换频)→ 站点 = 七点环 ∪ PF 高价值点,按"期望发现数 − λ·移动时间"贪心选站;每站批量扫频时跳过"PF 判定必 no_signal"的 (站,频道) 对与已证缺席频道;每站扫完即服务已发现频道(SevenBatch 风格) -- **定位服务**:选点 = 保证接收盘内候选环采样 + 信息增益评分(ΔH − λ·移动 − μ·检测),有证书即清除;步数上限沿用 `max_localize_steps` -- **清除调度**:待服务任务(定位+清除 ≤20 节点)开放路径最近邻 + 2-opt,纯标准库,每个决策点滚动重排 -- **收尾**:全部 CLEARED/ABSENT → all_resolved;清满 16 提前停;persistent_search 沿用现有配置语义(实现时对照 `run_q3_seven_practice.py` 保持官方演练停止行为一致) - -## 3. 配置 `config.py` - -新增 `BayesConfig` frozen dataclass([工程]):particle_spacing_m、λ/μ 权重、MC 代表数/子采样、skip_margin、站点环半径、2-opt 开关/迭代数等;挂到 `ProblemConfig.bayes`。默认值不改变现有策略行为。 - -## 4. 七点覆盖提升为库代码 `src/mcm26b/planner/seven.py` - -把 `scripts/benchmark_q3_search.py` 的 `seven_points()/SevenImmediate/SevenBatch` 移入 src(旧脚本改 import,消融结果可复现),供 CLI 与新基准复用。 - -## 5. CLI `cli.py` - -`mcm26b run --strategy {grid,seven,bayes}`,默认 grid;**若基准通过则默认改为 bayes**(用户已确认)。 - -## 6. 基准 `scripts/benchmark_q3_bayes.py` - -配对消融 {seven_batch, bayes} ×(seeds 0..5 × 10/16 源 + 边界源 + 0 源纯缺席场景),复用现有 run_case/LocalSimulator 模式;输出 `output/q3/bayes-ablation/`(benchmark.json + report.md):全清率、correct_absence、异常、accounted/total 虚拟时间、配对降幅、实机 compute_wall_s。 - -## 7. Optuna 调参 `scripts/tune_q3_bayes.py` - -- `uv add --group dev optuna`(仅调参脚本用,生产零新增依赖) -- TPE,目标 = 场景子集平均虚拟时间 + 10⁶×失败惩罚;场景与 error_seed 多样化防过拟合 -- 搜索空间:h、λ/μ、skip margin、候选环、2-opt 开关等 -- optuna 不可用时自动退化为随机搜索;最优参数写 JSON,复跑基准确认后合入 config.py 默认值 - -## 8. 测试 - -- `tests/test_particles.py`:真源保留性(随机场景 × LocalSimulator 误差场,任意更新序列后真源邻域格必活);证书正确性(alive=∅ ⟺ 真缺席;MEC 证书清除必成功);跳测规则永不漏检 -- `tests/test_bayes_loop_q3.py`:端到端 LocalSimulator(10/16/0 源、边界源、预算耗尽、故障注入):全清 + 缺席正确 + 无异常 + 正常退出 -- 现有 105 项测试保持绿 - -## 9. 文档 - -`docs/algo-3-bayes.md`(Voronoi 裕量严格性论证、信息增益与调度设计、与 A2 对比数据);README 策略表加行;`docs/algo-3.md` 加交叉引用。 - -# 执行顺序 - -1. `git checkout -b q3-bayes` -2. BayesConfig → particles.py(含单测)→ seven.py 提升 -3. bayes_loop.py + CLI 接入 → pytest 全绿 -4. 跑配对消融基准 -5. Optuna 调参 → 回填参数复跑基准 -6. 若达标(全清 100% 且配对均值更优):`mcm26b run` 默认切 bayes + 文档更新 -7. 分支上分阶段 commit(不 push) - -# 验收标准 - -- 基准全部场景:all_cleared 100%、correct_absence 100%、anomalies 空、normal_exit、单局实机计算 < 60s -- 配对平均虚拟时间优于 seven_batch(目标降幅 ≥5%;参考量级 A2=5232s/12 源) -- `uv run pytest` 全绿;`mcm26b run --self-test --problem 3` 通过 - -# 风险与对策 - -- PF 实机计算耗时 → 空间哈希 + MC 子采样,基准记录 compute_wall_s,超预算先降 MC 规模(实机预算 1200s,A2 仅用 3.4s,余量巨大) -- LocalSimulator 误差场确定性 → 调参与基准用多 error_seed -- 负观测删点的正确性 → Voronoi 裕量定理 + 随机化真源保留性测试兜底 \ No newline at end of file diff --git a/README.md b/README.md index 7167ec5..502d1ba 100644 --- a/README.md +++ b/README.md @@ -1,208 +1,165 @@ -# mcm26b — CUMCM 2026 B题:无线电干扰源的快速自动定位与清除 +# mcm26b — CUMCM 2026 B 题:无线电干扰源的快速自动定位与清除 -统一框架:有界误差几何定位、主动选点、带覆盖证明的搜索、按真实动作耗时调度。 -分析依据 `issue/B题.pdf`、附件1《模拟器使用说明》、附件2《通信接口说明及编程指南》。 +本仓库为参赛论文(`docs/paper/main.tex`)的可复现支撑材料: +提供四问的完整可运行程序、自建模拟器、论文全部数据与插图的生成脚本。 +算法本身的推导、证明与结果分析见论文,本文件只说明**怎么跑、怎么复现**。 -**文档总入口:[docs/README.md](docs/README.md)**(分类索引、阅读顺序与口径登记)。 +--- -- [总体思路与流程图(四问主线、端到端流程图、执行时间速查)](docs/总体思路与流程图.md) -- [执行时间与执行步骤(计时模型、状态机、附件示例推演、实测分解)](docs/执行时间与执行步骤.md) -- [几何计算示意图册(逐图说明:角域交会、覆盖、最小命中集)](docs/几何计算示意图册.md) -- [论文插图清单与复现方式](docs/figures/README.md)(`uv run python scripts/build_figure_data.py`) -- [四问建模分析与 P0–P7 实施计划](docs/B题建模分析与实施计划.md) -- [协议规则表、字段表与状态机(P0 交付)](docs/协议规则表与状态机.md) -- [问题一完整解答](docs/问题一解答.md) -- [问题一算法说明(当前实现口径)](docs/algo-1.md) -- [问题二算法说明(保证接收的第二点选择)](docs/algo-2.md) -- [问题三算法说明(七点覆盖证明、贝叶斯闭环与滚动调度)](docs/algo-3.md) -- [问题四算法说明(定向覆盖最小命中集、联合信念与后备清除)](docs/algo-4.md) -- [第三、四问系统性架构优化与运行提速方案(运行历史复核、最小命中集、联合信念)](docs/第三四问架构优化与运行提速方案.md) -- [第三、四问图论与动态规划优化方案(定点实测、路由 gap、定向定位 DP、证书硬化)](docs/第三四问图论与动态规划优化方案.md) -- [1-4 问最优与基线实现对比框架](project/README.md)(`uv run python -m project.run`,结果在 `project/results/`) -- [最优与基线实现对比(论文口径说明)](docs/最优与基线实现对比.md) -- [论文](docs/paper/main.tex) -- **单文件核心代码(问题一~四)**:[`mcm26b-核心代码.ipynb`](mcm26b-核心代码.ipynb)—— - 四问生产实现按"公共层→几何→信念/覆盖→调度→策略→逐问算例"整理成一个可独立运行的 - notebook,不含评测机、命令行外壳、采集/基准/绘图脚本、测试与未采用方案; - 重新生成用 `python scripts/build_core_notebook.py`,零依赖自检用 - `python scripts/run_notebook_cells.py`(按顺序执行全部代码单元)。 +## 1. 环境 -## 项目结构 - -``` -referee/ # 独立评测机包(mcm26b-referee):模拟器引擎+机器狗接口+WebUI, - # 零第三方依赖、不依赖本队代码;题意符合性对照见 referee/README.md -src/mcm26b/ -├── config.py # 参数中心:题面常量[题面] + 工程参数[工程],唯一字面量来源 -├── protocol/ # P0/P1 字段表、计时模型、状态机、串行幂等客户端(已完工) -├── geometry/ # P2 角域交会、直径、MEC、问题二安全候选盘证书(已完工) -├── belief/ # P3 逐频道候选集合 K_c:保守外包多边形 + 半平面裁剪(已完工) -├── coverage/ # P4 49点覆盖账本(网格生成 + 逐频道记录) -├── planner/ # P3 保证接收盘选点器 / P4 全向闭环 / P5 混合源定向闭环(已完工) -├── routing.py # 图论/DP 工具箱:Held-Karp 精确开放路径、2-opt/Or-opt、MST 下界、路由度量 -├── evaluation/ # 日志复算与统计(已完工) -└── harness/ # 测试侧适配:评测机<->Transport 内存回环、故障注入、回放、场景 -tests/ # pytest(含解耦守卫:运行时零导入 referee + 规则表不漂移) -project/ # 1-4 问"最优实现 / 基线实现"对比框架:逐问 optimal+baseline - # +独立参考,冻结基准集配对出数;见 project/README.md -scripts/ # 采集、基准、可视化与校核脚本(含问题四批量仿真 benchmark_q4.py、 - # 运行历史计时分解 analyze_run_timing.py、第四问覆盖证书 verify_q4_cover.py、 - # 论文插图 build_figure_data.py + scripts/matlab、日志归档 archive_replay_logs.py、 - # 单文件核心代码生成/自检 build_core_notebook.py + run_notebook_cells.py) -docs/figures/ # 论文插图(PNG)+ manifest.json(数据来源与 sha256)+ 图清单 -output/ examples/ # 演练证据、算例与生成产物 -``` - -## 独立评测机与 WebUI(referee/) - -评测机已抽成独立包:`referee/`(uv workspace 成员,`uv sync` 自动挂载为 dev 依赖)。 -参赛队运行时代码**零导入** referee,双方仅通过附件2 的 HTTP 协议耦合—— -评测机可独立服务任何客户端,参赛队代码对接官方模拟器无需任何改动。 +- Python ≥ 3.10;运行时依赖仅 `requests`,测试与自检另需 `pytest`、`numpy`。 +- 自建模拟器 `referee/` 为零第三方依赖的独立包,`uv sync` 时作为开发依赖一并挂载。 +- 复现论文 PDF 另需 TeX Live(XeLaTeX、ctex、TikZ),字体已随仓库提供于 `docs/paper/fonts/`。 ```bash -uv run python -m referee # WebUI http://127.0.0.1:8026,接口 :2026 -uv run python -m referee --port 2026 --ui-port 8026 --data-dir referee-data -uv run mcm26b run --robot-id 2026001 --local-judge # 一键:起评测机→开演练局→闭环→汇总 +uv sync # 安装主包与 referee(可编辑挂载) ``` -- **WebUI 完全按附件1 §4 复现官方界面语义**:四个测试模块(演练不限次/正式各3次、 - 启动即占用、正式前再次确认)、确认开始→数据准备→5秒倒计时→25分钟窗口开放接口、 - "指令与反馈"默认最新1000条(100..5000 可调)、中止测试两次确认、结束原因显示、 - 案例编码、演练结束显示 总数/全向/定向(正式任何界面不显示真值)、行为日志导出 - (2MB 上限告警)、空闲时可改端口、只监听本机回环。 -- **回放器**("回放"Tab):以本局行为日志 JSONL 驱动,在 Ω 圆上动画复现运动与 - 扫描过程——移动按 5m/s 展开、检测以雷达扫描动画呈现(direction 附实测示向度 - 射线)、清除先光学定位再清除;支持播放/暂停、逐步±、1×~300× 倍速快进、 - 滚轮缩放/拖拽平移、带动作刻度的进度条任意定位;兼容 CSV 式逐事件信息面板。 - **支持手动选定 JSONL 回放**:点击"选择 JSONL 文件"或直接拖拽导入任意行为日志 - (评测机日志含真值;参赛队客户端会话日志取 accepted 事件,无真值),纯前端解析。 -- 引擎与协议:`referee.simulator`(观测判定/幂等/并发409/微秒计时/截止断连)、 - `referee.interface`(附件2 §5 完整语法边界,HTTP 服务器与内存直连共用), - 一致性由 `referee/tests` 90 项测试与真实 HTTP 测试固化。 -- 自建差异(题面未规定)均在 referee/README.md 声明:联网登录/官方校时/17:30 - 截止/加密上传属官方服务器侧策略,本地不实现;示向度误差场与场景分布是测试假设。 +--- -## 快速开始 +## 2. 运行程序(问题三 / 问题四闭环) -Python ≥ 3.10,运行时依赖仅 `requests`;测试/自检另需 `pytest` 与独立评测机 -包(`uv sync` 一并安装)。 +**队号不在代码中固化**:登录标识属身份信息,一律在运行时通过 `--robot-id` 传入, +代码、测试、示例与日志中只出现与赛事无关的中性占位符(如 `TEAM-0001`)。 ```bash -uv sync # 安装(可编辑挂载本包与 referee) -uv run pytest # 全部测试(含 referee 90 项 + 解耦守卫) -uv run python -m referee # 起本地评测机(可选,配合 WebUI 回放) -uv run mcm26b sim-check # P0 自检:复现附件计时示例 105/111/194/199 -uv run mcm26b run --robot-id 2026001 --self-test # 问题3自检:随机全向场景闭环(不连官方) -uv run mcm26b run --robot-id 2026001 --self-test --problem 4 # 问题4自检:混合定向源场景 -# 自检默认:源数按题面 10~16 随机;实机预算 30 分钟(--real-budget-s 可改,仅自检生效); -# 找全后持续复扫未清除频道直到限时(--config 关闭 persistent_search 可回到"找全即退") -uv run mcm26b run --robot-id <队号> --log output/run/session.jsonl # 对接模拟器正式/演练 -uv run mcm26b run --robot-id <队号> --base-url http://127.0.0.1:2026 # 对接本地 referee -uv run mcm26b run --robot-id 2026001 --local-judge # 一键本地评测:自动起 referee+开演练局 -# 端口被占时主动询问换端口(非交互自动改空闲端口);WebUI 可实时观战并在"回放"Tab -# 逐步回看;结束自动汇总结束原因/真值统计/全清校验(--judge-no-ui 可关闭界面) -uv run mcm26b q1 examples/q1/normal.json # 问题一求解(等价 python -m mcm26b.geometry ...) -uv run python main.py examples/q1/triangle.json --rounding-margin-deg 0.005 +# 对接官方模拟器(先在界面确认测试已开始、接口就绪) +uv run python -m mcm26b.cli run --robot-id <队号> --problem 3 +uv run python -m mcm26b.cli run --robot-id <队号> --problem 4 + +# 一键本地评测:自动起自建模拟器 → 开一局演练 → 跑完整闭环 → 汇总 +uv run python -m mcm26b.cli run --robot-id <队号> --problem 3 --local-judge + +# 不连任何模拟器的自检(随机场景,内存回环) +uv run python -m mcm26b.cli run --robot-id SELFCHECK --problem 3 --self-test + +# 复现附件计时示例(期望 105/111/194/199 秒) +uv run python -m mcm26b.cli sim-check ``` -## 问题一(P2,已完工) +主要开关:`--strategy {bayes,seven,grid}`(仅问题三,默认 `bayes`)、 +`--base-url`、`--log <路径>`、`--real-budget-s`(仅自检生效)。 -给定同频道多个检测点及 ±1° 误差示向度,计算前向角域交集(半平面交)、 -定位区域直径、直径圆覆盖判断(含反例顶点与超出距离)与最小包围圆、20m 清除余量。 +### 问题一 / 问题二 ```bash -uv run mcm26b q1 examples/q1/normal.json -o output/q1/result.json -uv run python scripts/build_q1_demo.py # 重建离线交互可视化 output/q1/question1.html -uv run python scripts/benchmark_q1.py # MEC 基准与舍入敏感性 +uv run python -m mcm26b.cli q1 examples/q1/normal.json -o output/q1/result.json +uv run python -m mcm26b.geometry examples/q1/triangle.json ``` -离线交互页:`output/q1/question1.html`。可选 PNG 重绘需要 Pillow 与 Windows -雅黑字体:`python scripts/render_q1_figures.py`;事件校核需要 Node.js: -`node scripts/verify_visualization.cjs`。二者仅为图形校核,非求解依赖。 +`examples/q1/` 下的五个算例分别覆盖正常多边形、劣交会、零误差线段、不相容观测与直径圆反例。 -## 协议基线(P0/P1,已完工) +仓库根的 `main.py` 只是转发到同一 CLI 的薄壳(`python main.py <子命令>`), +等价于 `python -m mcm26b.cli <子命令>`。 -- `protocol.rules`:四条指令的字段表、结果码与错误语义(可执行表格); -- `protocol.timing`:纯计时模型,逐步复现附件示例 105/111/194/199; -- `protocol.state.RobotState`:位置/频道/虚拟时刻状态机;accepted=false 不更新, - `/clear` 不切频道,虚拟时刻以 accepted 响应为准; -- `protocol.client.SimulatorClient`:串行发送、幂等重试(同 ID 同内容原样重发)、 - 连接/读超时、基于 `remaining_real_duration_s` 的本地截止时钟与退出预留、JSONL 会话日志; -- 独立包 `referee`:按附件语义复现评测机(观测门限、定向覆盖角、幂等回放、 - 整数微秒计时、现实/虚拟截止、并发409和请求校验),真值只对评测机/测试端开放; - `harness.LocalSimTransport` 内存回环挂载(与 referee HTTP 服务器共用同一边界), - `harness.ScriptedFaultTransport` 注入断连/超时/500,`harness.PlaybackTransport` - 回放官方演练日志。 +--- -本地模拟器默认执行至多1200秒程序预算、1500秒接口开放窗口,截止后通过 -`SimulatorClosed` 模拟连接关闭,已登记动作可以完成。可注入 `clock`、`wall_clock` -和 `window_started_at` 测试迟到与超时。CLI `--self-test` 显式使用 `stress_mode=True`, -保留默认1800秒压力预算并扩展窗口;这不是官方演练时限。 -内存传输不实现TCP连接限流、UI或日志上传;场景均匀分布及逐点哈希误差仍是测试假设。 +## 3. 自建模拟器(`referee/`) -```python -from mcm26b.protocol import SimulatorClient -client = SimulatorClient("参赛队号") # 默认 http://127.0.0.1:2026 -client.enter() -outcome = client.measure((300, 400), 1) # MeasureOutcome(result, svd_deg, ...) -client.exit() -``` - -## 阶段状态(对照 P0–P6 计划) - -| 阶段 | 状态 | -| --- | --- | -| P0 规则固定(规则表/状态机/字段表,示例逐步 105/111/194/199) | ✅ 完成 | -| P1 协议基线(客户端 + 自建回放/故障注入测试) | ✅ 完成 | -| P2 几何内核(角域交、直径、MEC、证书) | ✅ 完成(迁入 `mcm26b.geometry`) | -| P3 问题二选点(K1、候选区域 Q、采样评估) | ✅ 完成(belief + 选点器,测试固化) | -| P4 问题3全向闭环(49点覆盖、定位队列、清除、停止) | ✅ 官方问题3演练单案例通过(10/10全清,[验证报告](output/q3/practice/20260911-port2026/report.md)) | -| P5 问题4定向扩展(联合约束、后备清除、预算) | ✅ 自建完成(官方演练待执行;[算法说明](docs/algo-4.md)) | -| P6 加速与消融 | ✅ 七点批量(`--strategy seven`,官方演练 12/12)+ 贝叶斯闭环(`--strategy bayes` 默认,自建消融 −30.0%,[算法说明](docs/algo-3.md)、[设计细节](docs/algo-3-bayes.md)) | -| P7 图论/动态规划优化(S1–S5) | ✅ 已落地([实测回填](docs/第三四问图论与动态规划优化方案.md#8-本轮实测回填2026-09-12-实施结果)):路由度量入库、覆盖证书硬化(15 m/72 缺口 566→0)、Q4 后备盲清 125.7→4.3 次/局;同时修复联合信念 `no_signal` 朝向规则反向缺陷 | - -### 图论/DP 轮(2026-09-12,S1–S5)要点 - -- **S1 度量**:`scripts/run_suite.py` 逐局新增 `route_gap_vs_offline`、 - `route_lower_bound_s`(MST 下界)、`distinct_service_points`、 - `coverage_actual_visited`、`probe_no_signal_ratio`、`plan_verify_wall_s`; - 图算法在 `src/mcm26b/routing.py`(Held-Karp 精确 / 2-opt / Or-opt / Prim)。 -- **S2 证书**:`q4_mincover_v2`(31 点,`r_design=965 m` + 前向角裕量 5°, - 15 m/72 档 325.6 万 (p,h) 缺口 0,最坏命中 990 m),取代粗采样过拟合的 - `q4_mincover_v1`(25 m/48 档 125 缺口)。 -- **S3 探点**:默认口径改为"可见候选里移动最省"(`probe_score_mode=nearest_visible`); - 后备盲清 125.7 → 4.3 次/局,Q4 core 均值 8676 → 8602 s、最坏 10891 → 9630 s。 -- **S4/S5 负面结论**:后备清除 Or-opt、Held-Karp 精确任务序、路线感知探点 - 在本模拟器上均为净负收益,默认关闭,代码与开关保留(见方案 §8.6)。 -- **正确性修复**:`belief/joint.py` 的 `no_signal` 朝向裁剪原先规则反向且漏计格内 - 角裕量,会删掉真源朝向档;已修复并由 `tests/test_joint_belief.py` 的随机观测 - 序列保留性测试固化。 - -## 采集与正式测试约束 - -改进版 A2(七点覆盖+本站批量扫频)已通过官方案例 `J4ER-Y9EP-Q379-UPFA`: -12/12源全清,109次检测,虚拟耗时5232.132109秒,现实耗时3.406秒。 -[本局报告与运行方法](output/q3/practice/20260911-seven-batch-01/report.md)。 -独立入口为 `scripts/run_q3_seven_practice.py`。 - -贝叶斯闭环 `bayes`(网格粒子滤波+负观测更新+信息增益选点+滚动 2-opt -调度,参数经 Optuna 回填)在自建模拟器配对消融中相对 SevenBatch 平均 -虚拟时间再降 30.0%(14/14 场景全清零异常),算法与数据见 -[algo-3-bayes.md](docs/algo-3-bayes.md),已是 `mcm26b run` 默认策略。 -虚拟时间即成绩口径:找全证明后立即 `/exit`(`--persistent` 可显式开启 -"扫到限时"的复扫保险模式)。 - -2026-09-11 已通过本机 2026 端口完成一次官方问题3演练:案例 -`DHFK-PHD2-SR2P-FXK9`,10/10 源全清,540 次检测、10 次清除,现实耗时 -7.629 秒。原始请求响应、官方产物及离线审计见上述验证报告。原计时复算的 -541 处微秒精度误报也已记录;按官方整数微秒累计规则独立复算后,552 个 -响应时刻全部吻合。生产计时复算函数保持原样。 +按题面附件 1《模拟器使用说明》与附件 2《通信接口说明》实现,与参赛队代码零耦合, +只通过 HTTP 协议对接;论文正文的演练数据即由它产生。 ```bash -uv run python scripts/verify_q3_practice.py output/q3/practice/20260911-port2026 +uv run python -m referee # WebUI http://127.0.0.1:8026,接口 :2026 +uv run python -m referee --data-dir referee-data ``` -本项目只使用官方**演练**采集观测,从未使用正式测试。`scripts/capture_practice.py` -不会启动测试:必须先在界面确认“问题3演练”、接口已就绪,再提供 -`--practice-confirmed` 与本局案例编码。正式测试由团队按计划另行安排; -加密日志上传上限 2MB,程序避免异常高频循环。 +- WebUI 复现官方测试流程:四个模块(演练不限次 / 正式各 3 次)、确认→5 秒倒计时→ + 25 分钟窗口、指令与反馈流、中止需两次确认、结束原因、行为日志导出; +- "回放"页可用本局行为日志动画复现运动与扫描过程,也支持手动导入任意 JSONL; +- 自建差异(联网登录、官方校时、加密上传属官方服务器侧,本地不实现; + 误差场与场景分布为测试假设)见 `referee/README.md`。 + +--- + +## 4. 复现论文数据(`referee-data/` → 宏与表格) + +`referee-data/sessions/` 收录论文正文引用的 44 局演练日志(问题三 15 局、问题四 29 局), +`referee-data/rejected-sessions/` 保留同批采集中被判定为无效的 11 局以便复核。 + +```bash +python scripts/build_practice_data.py # 复算演练局 → 宏、整表、CSV/JSON 快照 +python scripts/audit_paper_formal.py --snapshot docs/paper/data/formal-results.json +python scripts/build_paper_support.py # 附录正式数据表与支撑包 +``` + +- 第一条按题面计时模型逐动作复算,输出 `docs/paper/data/practice-*.tex` 与 + `practice-results.{json,csv}`;复算值与评测机记录的最大偏差应为 **0.000000 s**。 + 运行结束会打印局数、全清局数与平均虚拟时间,可直接与论文数字对照。 +- 第二条校验官方六份正式导出包与统计快照的对应关系(来源匹配需原电脑的官方统计队列)。 +- 第三条生成附录表格与 `support-materials.zip`(`--package`)。 + +### 需要重新采集演练局时 + +```bash +uv run python scripts/run_practice_episodes.py --problem 3 --robot-id <队号> \ + --counts 10,13,16 --seeds 300-314 +uv run python scripts/run_practice_episodes.py --problem 4 --robot-id <队号> \ + --counts 10,13,16 --directional-cycle 3,6,8 --seeds 400-439 +``` + +脚本启动评测机并调用生产策略对接接口,真值与行为日志由评测机写入 +`referee-data/sessions/`。判定标准为 +`清完全部源 ∧ 无缺席误判 ∧ 主动退出 ∧ 零异常 ∧ 零失败清除`; +只看"是否清完"会放过"清完了但中途大量 `/clear` 打空"的无效局。 + +--- + +## 5. 复现论文插图 + +```bash +uv run python scripts/plot_paper_figures.py # 生成 docs/figures/*.png +``` + +脚本只读 `docs/paper/data/` 下的复算结果与第四问覆盖计划,不手抄任何数字; +图内文字与图注数据均来自同一次复算。插图清单、数据来源与生成命令见 +[`docs/figures/README.md`](docs/figures/README.md) 与 `docs/figures/manifest.json`。 + +--- + +## 6. 编译论文 + +```bash +cd docs/paper +latexmk -xelatex -interaction=nonstopmode -halt-on-error -outdir=build main.tex # 产物 build/main.pdf +latexmk -xelatex -interaction=nonstopmode -halt-on-error main.tex # 产物 main.pdf +``` + +两条口令都完成交叉引用所需的多遍编译。VS Code 的 LaTeX Workshop 配置见 +`.vscode/settings.json`(默认配方为前者)。细节与注意事项见 +[`docs/paper/README.md`](docs/paper/README.md)。 + +--- + +## 7. 单文件核心代码与测试 + +```bash +uv run pytest # 全部测试(本包 + referee) +python scripts/build_core_notebook.py # 由 src/mcm26b 生成单文件核心代码 +python scripts/run_notebook_cells.py # 顺序执行 notebook 全部代码单元(零依赖自检) +``` + +[`mcm26b-核心代码.ipynb`](mcm26b-核心代码.ipynb) 是四问生产实现的单文件版本 +(约 5000 行),不含评测机、命令行外壳、采集/绘图脚本与测试; +`src/mcm26b/` 保留与之逐字对应的模块化版本。 + +--- + +## 8. 目录结构 + +``` +src/mcm26b/ 四问求解实现:config / protocol / geometry / belief / coverage / + guarantee / planner / particles / routing / evaluation / harness +referee/ 自建模拟器(独立包,零第三方依赖,不依赖本队代码) +referee-data/ 论文数据来源:演练日志(sessions / rejected-sessions)、正式统计快照 +tests/ 本包测试(含运行时零导入 referee 的解耦守卫) +docs/paper/ 论文 LaTeX 源、数据与宏、编译说明 +docs/figures/ 论文插图(PNG)与来源清单 +examples/ 问题一算例与回放归档 +scripts/ 复现脚本:数据复算、插图绘制、正式数据核对、采集与基准 +project/ 四问"最优实现 / 基线实现"配对对比框架(论文对比表的来源) +issue/ 赛题、附件与格式规范(原始材料) +``` + +`docs/paper/REWRITE_NOTES.md` 记录论文各轮修订与验证过程(含数据重采与问题修复)。 diff --git a/docs/B题问题3-4相关论文列表.md b/docs/B题问题3-4相关论文列表.md deleted file mode 100644 index 61225b5..0000000 --- a/docs/B题问题3-4相关论文列表.md +++ /dev/null @@ -1,191 +0,0 @@ -# 2026 高教社杯 B 题(无线电干扰源快速自动定位与清除)问题 3、4 相关论文列表 - -> 排序原则:与问题 3/4 直接应用方案越相关,排名越靠前。 -> 标注:【Q3】主要支撑问题 3(全向干扰源:搜索→交会定位→逼近清除的整体策略);【Q4】主要支撑问题 4(定向干扰源、方向未知);【Q3·Q4】两者通用。 - ---- - -## 一、无线电信号源的移动机器人搜索与定位(与赛题任务框架最直接对应) - -1. **Simultaneous Localization of Multiple Unknown and Transient Radio Sources Using a Mobile Robot** 【Q3】 - D. Song, C. Y. Kim, J. Yi. *IEEE Transactions on Robotics*, 2012(被引 75) - 移动机器人沿路径采集 RSS,在线同时定位**多个未知无线电源**——与问题 3“干扰源个数未知、机器狗边走边测”的设定几乎同构,可直接借鉴其多源数据关联与定位框架。 - https://ieeexplore.ieee.org/abstract/document/6145760/ | [PDF](http://coewww.rutgers.edu/~jgyi/pdfs/IEEE_TRO_2012.pdf) - -2. **Cooperative Search of Multiple Unknown Transient Radio Sources Using Multiple Paired Mobile Robots** 【Q3】 - C. Y. Kim, D. Song, Y. Xu, J. Yi, X. Wu. *IEEE Transactions on Robotics*, 2014(被引 67) - 上文的协同多机器人版本:成对机器人搜索多个未知瞬态无线电源,含**源匿名(信号不可区分)**处理——对应本题不同频道区分信号的思路对照。 - https://ieeexplore.ieee.org/abstract/document/6857360/ | [PDF](https://jingangyi.rutgers.edu/pdfs/IEEE_TRO_2014.pdf) - -3. **RSS Gradient-Assisted Frontier Exploration and Radio Source Localization** 【Q3·Q4】 - J. N. Twigg, J. R. Fink, L. Y. Paul, B. M. Sadler. *ICRA*, 2012(被引 77) - 用 RSS 梯度引导前沿探索(frontier exploration),让机器人高效逼近信号源而避免盲目遍历——可直接支撑问题 3/4 中“初探→逼近”的两阶段搜索策略设计。 - https://ieeexplore.ieee.org/abstract/document/6225059/ - -4. **Radio Source Localization Using Sparse Signal Measurements from Uncrewed Ground Vehicles** 【Q3】 - A. Perera, V. P. Tran, S. Anavatti, K. Kasmarik, et al. *arXiv:2312.03493*, 2023 - 地面无人车(与机器狗同类平台)在室外区域以稀疏采样定位无线电源,含完整仿真评估流程——与用模拟器演练测试的实验设计直接可参照。 - https://arxiv.org/abs/2312.03493 | [PDF](https://arxiv.org/pdf/2312.03493) - -5. **Particle Filter Based Localization of Access Points Using Direction of Arrival on Mobile Robots** 【Q3·Q4】 - R. Parashar, R. Parasuraman. *IEEE VTC*, 2020(被引 13) - 移动机器人利用**到达方向(DOA,即示向度)**+ 粒子滤波递推定位无线电源——对应本题“多次测向→逐步缩小定位区域”的序贯定位算法。 - https://ieeexplore.ieee.org/abstract/document/9348813/ - -6. **Online Methods for Radio Signal Mapping with Mobile Robots** 【Q3】 - J. Fink, V. Kumar. *ICRA*, 2010(被引 166) - 移动机器人边走边在线构建信号场强地图并估计源位置,可支撑本题“场强仅随距离衰减”假设下的快速粗定位与路径在线修正。 - https://ieeexplore.ieee.org/abstract/document/5509574/ - -7. **Distributed Algorithms for Stochastic Source Seeking with Mobile Robot Networks** 【Q3】 - N. A. Atanasov, J. Le Ny, et al. *ASME JDSMC*, 2015(被引 117) - 随机源搜索的分布式算法,以无线电源定位为应用背景,理论保证强,可作为逼近清除阶段的收敛性依据。 - https://arxiv.org/pdf/1402.0051 - -8. **Cooperative Multi-Robot Estimation and Control for Radio Source Localization** 【Q3】 - B. Charrow, N. Michael, V. Kumar. *IJRR*, 2014(被引 84) - 仅测距射频下的多机器人协同估计与控制,信息论驱动( mutual information )选择测量动作——可迁移为“选哪个频道、去哪测”的决策准则。 - https://journals.sagepub.com/doi/abs/10.1177/0278364913500542 - -9. **A Review of Radio Frequency Based Localisation for Aerial and Ground Robots with 5G Future Perspectives** 【Q3·Q4】 - M. Kabiri, C. Cimarelli, H. Bavle, et al. *Sensors*, 2022(被引 48) - 综述:RSS/AOA 等 RF 定位手段在空地机器人上的比较,适合写论文的“研究现状”部分并帮助选型。 - https://www.mdpi.com/1424-8220/23/1/188 - ---- - -## 二、测向(Bearing-only/AOA)交会定位与观测点优化(第二检测点选择、定位区域收缩) - -10. **Gathering Bearing Data for Target Localization** 【Q3】 - H. Bayram, J. Vander Hook, V. Isler. *IEEE Robotics and Automation Letters*, 2016(被引 38) - 给定若干潜在目标区域与不确定度要求,规划采集方位数据的机器人路径,归结为 **TSP with Neighborhoods 的信息路径规划**——与问题 3“多个待清除目标 + 逐个交会定位 + 总时间最短”的任务排序高度吻合。 - https://ieeexplore.ieee.org/abstract/document/7390217/ | [PDF](https://conservancy.umn.edu/bitstreams/ff2d34bf-0056-4a29-be84-eb7355b527e4/download) - -11. **Relationship Between Error Ellipse and Error Quadrilateral in Bearing-Only Localization** 【Q3·Q4】 - B. Wang, Y. Hu, C. Yu, et al. *IEEE Access*, 2026 - 直接研究双站测向定位的**误差四边形**(即题目中的“定位区域”)与误差椭圆的关系,论证几何构型与精度的关系——与问题 1 的定位区域、问题 2/3 的测点选择理论完全对口。 - https://ieeexplore.ieee.org/abstract/document/11677056/ - -12. **Bearing-Only Active Target Localization Strategies for a System of Two Communicating Mobile Robots** 【Q3】 - J. Vander Hook, P. Tokekar. 技术报告, 2013 - 主动测向定位:规划“去哪测”以最优压缩目标位置不确定性,给出最优双机器人测量构型——第二检测点选择策略的系统性理论。 - https://conservancy.umn.edu/items/38693c39-7a3b-400b-8926-f9aa194a8824 - -13. **Multi-UAV Trajectory Optimization for Bearing-Only Localization in GPS Denied Environments** 【Q3】 - A. Sciacchitano, L. Mudrik, S. Kragelund, et al. *arXiv:2602.11116*, 2026 - 面向测向定位的轨迹优化,在视场等约束下优化测量构型——可借鉴其代价函数与滚动优化框架设计机器狗的测点序列。 - https://arxiv.org/abs/2602.11116 | [PDF](https://arxiv.org/pdf/2602.11116) - -14. **Optimal Sensor Placement for Multi-Source AOA Localisation with Distance-Dependent Noise Model** 【Q3·Q4】 - M. Hamdollahzadeh, R. Amiri, et al. *IET Radar, Sonar & Navigation*, 2019(被引 37) - **多源** AOA 定位的最优布点,含递推 CRLB 表示——支撑多干扰源场景下测点位置的全局优化。 - https://ietresearch.onlinelibrary.wiley.com/doi/abs/10.1049/iet-rsn.2018.5426 - -15. **Optimal Sensor Placement for Target Localization Using Hybrid RSS, AOA and TOA Measurements** 【Q3】 - S. Xu, et al. *IEEE Communications Letters*, 2020(被引 110) - 混合量测下最小化 tr(CRLB) 的最优传感器-目标几何,可用于论证“交会角接近 90°”等构型结论的严谨性。 - https://ieeexplore.ieee.org/abstract/document/9097832/ - -16. **Geometry Influence on GDOP in TOA and AOA Positioning Systems** 【Q3·Q4】 - X. Lv, K. Liu, P. Hu. *ICNSC*, 2010(被引 58) - 基于 CRLB 分析新增观测点对 GDOP 的影响——回答“再加一个检测点值不值、放在哪”的定量依据。 - https://ieeexplore.ieee.org/abstract/document/5480336/ - -17. **定向交叉定位配站问题与定位精度分析**(中文)【Q3·Q4】 - 张艳花. 《电讯技术》, 2008(被引 2) - 中文文献,专门讨论测向交叉定位的配站(交会角)与精度关系,便于直接引用“交会角 90° 最优、30°~150° 可用”类结论。 - (《电讯技术》2008 年刊,可通过知网/万方检索全文) - -18. **Trajectory Planning for Multiple Robots in Bearing-Only Target Localisation** 【Q3】 - C. Leung, S. Huang, G. Dissanayake, et al. *IROS*, 2005(被引 16) - 早期经典:以定位精度为目标做测向机器人轨迹规划,适合作为主动定位问题的建模起点引用。 - https://ieeexplore.ieee.org/abstract/document/1545322/ - -19. **Observer Path Planning for Bearings-Only Localization Considering Limited Field of View** 【Q3】 - A. Nayebi Astaneh, N. Pariz, M. O. Naghibi Sistani. *Journal of Control*, 2014 - 考虑传感器视场约束的观测者实时路径规划——对应测向机需旋转天线搜索示向度的过程约束。 - https://joc.kntu.ac.ir/browse.php?a_id=37&sid=1&slc_lang=en&ftxt=1 - ---- - -## 三、多目标搜索理论与任务规划(10–16 个未知目标的区域搜索框架) - -20. **Multi-Vehicle Bayesian Search for Multiple Lost Targets** 【Q3·Q4】 - E. M. Wong, F. Bourgault, T. Furukawa. *ICRA*, 2005(被引 193) - 多目标贝叶斯搜索经典:概率图 + 贝叶斯更新 + 搜索资源分配——问题 3“干扰源个数未知、需确保全部清除”的终止判据与覆盖率论证可由此构建。 - https://ieeexplore.ieee.org/abstract/document/1570598/ - -21. **MPC-Based Cooperative Multiagent Search for Multiple Targets Using a Bayesian Framework** 【Q3】 - H. Xiao, R. Cui, D. Xu, Y. Li. *Journal of Field Robotics*, 2024(被引 9) - 模型预测控制 + 贝叶斯框架的多目标搜索路径规划,滚动时域决策——适合借鉴为本题“边测边重规划”的在线策略。 - https://onlinelibrary.wiley.com/doi/abs/10.1002/rob.22382 - -22. **Multi-Agent Informed Path Planning Using the Probability Hypothesis Density** 【Q3·Q4】 - J. Olofsson, G. Hendeby, T. R. Lauknes, T. A. Johansen. *Autonomous Robots*, 2020(被引 27) - 用 PHD(随机有限集)表示**目标个数与位置均未知**的场景并做信息路径规划——与“干扰源总数 10–16 但具体未知”的设定直接对应。 - https://link.springer.com/article/10.1007/s10514-020-09904-1 | [PDF](https://torarnj.folk.ntnu.no/AURO2020a.pdf) - -23. **Probabilistic Search for Tracking Targets: Theory and Modern Applications** 【Q3·Q4】 - E. Kagan, I. Ben-Gal. Wiley, 2013(被引 27) - 搜索论专著:最优搜索策略、马尔可夫决策模型,为搜索策略提供理论根基(Stone 最优搜索理论的应用版)。 - https://onlinelibrary.wiley.com/doi/abs/10.1002/9781118596593 - -24. **Efficient Multi-Robot Search for a Moving Target** 【Q3】 - G. Hollinger, S. Singh, J. Djugash, A. Kehagias. *IJRR*, 2009(被引 254) - 多机器人高效搜索路径规划(ESPP)并提出可证明性能的近似算法;本题目标虽静止,其“最大化截获概率”的建模与保证思路可迁移。 - https://journals.sagepub.com/doi/abs/10.1177/0278364908099853 - ---- - -## 四、定向干扰源定位(问题 4 特有:覆盖角 180°、方向未知) - -25. **UAV-Based Efficient Joint Estimation of Directional Emitter Position and Transmission Orientation** 【Q4】 - T. Ruan, Y. Huang, L. Zhou, Q. Wu, et al. *IEEE Wireless Communications Letters*, 2024(被引 2) - **联合估计定向发射源的位置与发射方向**(RSS-AOA 混合量测)——问题 4“定向方向未知”的最直接对应文献。 - https://ieeexplore.ieee.org/abstract/document/10802920/ - -26. **Efficient Localization of Directional Emitters via Joint Beampattern Estimation** 【Q4】 - F. Williams, A. Pemasiri, D. Jayalath, T. Martin, et al. *arXiv:2411.04364*, 2024 - 联合波束方向图估计实现定向发射源高效定位,并分析波束宽度/朝向对定位的灵敏度(CRLB)——可支撑定向源需从侧向多点探测的策略设计。 - https://arxiv.org/abs/2411.04364 | [PDF](https://arxiv.org/pdf/2411.04364) - -27. **Location Errors of Directional Emitters in AOA System for Non-Line-of-Sight Conditions** 【Q4】 - J. M. Kelner, C. Ziółkowski, et al. *SPIE*, 2019 - 分析发射天线朝向对 AOA 示向度误差的影响——定向干扰源场景下误差建模的参考。 - https://www.spiedigitallibrary.org/conference-proceedings-of-spie/11055/110551G/Location-errors-of-directional-emitters-in-AOA-system-for-non/10.1117/12.2525060.short - -28. **ALRD: AoA Localization with RSSI Differences of Directional Antennas for Wireless Sensor Networks** 【Q4】 - J. R. Jiang, C. M. Lin, F. Y. Lin, et al. *Int. J. of Distributed Sensor Networks*, 2013(被引 133) - 利用定向天线朝向差分的 RSSI 做定位,对“信号只在 180° 覆盖角内可被接收”的探测盲区分析与补盲路径设计有参考价值。 - https://journals.sagepub.com/doi/abs/10.1155/2013/529489 - ---- - -## 五、信息路径规划方法与综述(通用方法库) - -29. **Information-Driven Path Planning** 【Q3·Q4】 - S. Bai, T. Shan, F. Chen, L. Liu, B. Englot. *Current Robotics Reports*, 2021(被引 53) - 信息驱动路径规划综述,梳理目标函数(信息增益、熵减)与平台约束,适合搭建问题 3 的总体算法框架。 - https://link.springer.com/article/10.1007/s43154-021-00045-6 - -30. **Adaptive Informative Path Planning in Metric Spaces** 【Q3】 - Z. W. Lim, D. Hsu, W. S. Lee. *IJRR*, 2016(被引 101) - 带自适应性的信息路径规划,具次模性与近似保证——为“总时间越短越好”的目标函数设计提供理论工具。 - https://journals.sagepub.com/doi/abs/10.1177/0278364915596378 - -31. **Informative Path Planning for Active Field Mapping Under Localization Uncertainty** 【Q3】 - M. Popović, T. Vidal-Calleja, J. J. Chung, et al. *ICRA*, 2020(被引 62) - 不确定性感知的信息路径规划,平衡探索与精度——对应本题“检测耗时 vs 路径耗时”的权衡。 - https://ieeexplore.ieee.org/abstract/document/9197034/ - -32. **基于深度强化学习的短波自主检测与定位方法**(中文)【Q3】 - 冯祺玥, 唐涛, 张昀普, 王鼎, 吴志东. 《通信学报》, 2026 - 中文文献:多站测角交会定位 + 深度强化学习自主检测定位,提供国内无线电监测定位的表述与流程范式。 - https://www.joconline.com.cn/rc-pub/front/front-article/download/155129217/lowqualitypdf/%E5%9F%BA%E4%BA%8E%E6%B7%B1%E5%BA%A6%E5%BC%BA%E5%8C%96%E5%AD%A6%E4%B9%A0%E7%9A%84%E7%9F%AD%E6%B3%A2%E8%87%AA%E4%B8%BB%E6%A3%80%E6%B5%8B%E4%B8%8E%E5%AE%9A%E4%BD%8D%E6%96%B9%E6%B3%95.pdf - ---- - -### 使用建议 -- **问题 3 算法主线**:以 1、3、10、20、22 为核心——贝叶斯概率图搜索(20/22)确定探测顺序与终止条件,DOA 序贯定位(5)+ 交会几何优化(10/11/15/17)选测点,RSS 梯度逼近(3)完成 20 m 内清除前逼近。 -- **问题 4 增量**:在问题 3 框架上叠加 25/26 的“位置 + 方向”联合估计,并用 28 的思路设计覆盖角盲区的补测路径。 -- **论文写作**:现状综述引用 9、29、32;精度理论引用 11、14、15、16。 diff --git a/docs/README.md b/docs/README.md index 5006286..321ef2d 100644 --- a/docs/README.md +++ b/docs/README.md @@ -1,71 +1,27 @@ # docs 索引 -仓库文档分四类:**总览与流程**、**逐问算法**、**验证与对比**、**论文与插图**。 -阅读顺序建议按下面的表格从上到下。 +论文本身已完整给出四问的模型、推导与结果分析,因此本目录不再保留算法说明文档, +只留下复现所需的说明与材料。 -## 总览与流程 - -| 文档 | 内容 | +| 入口 | 内容 | | --- | --- | -| [`总体思路与流程图.md`](总体思路与流程图.md) | 四问主线、端到端流程图(mermaid)、执行步骤与执行时间速查、交付物与验收锚点 | -| [`执行时间与执行步骤.md`](执行时间与执行步骤.md) | 计时模型、会话状态机与动作回合、附件示例逐步推演、实测日志分解、时间预算与安全阀 | -| [`B题建模分析与实施计划.md`](B题建模分析与实施计划.md) | 四问建模取舍与 P0–P7 实施计划(最早的设计文档) | -| [`协议规则表与状态机.md`](协议规则表与状态机.md) | 指令字段表、结果码、计时模型、状态机(P0 交付) | +| [`../README.md`](../README.md) | **总入口**:环境、运行程序、复现论文数据与插图、编译论文 | +| [`paper/README.md`](paper/README.md) | 论文工程说明:数据分工、重算与编译步骤、VS Code 配方 | +| [`paper/REWRITE_NOTES.md`](paper/REWRITE_NOTES.md) | 论文各轮修订与验证记录(含演练数据重采与问题修复) | +| [`paper/main.tex`](paper/main.tex) | 论文 LaTeX 源文件(正文与附录) | +| [`paper/data/`](paper/data) | 论文引用的全部数据、宏与整表(由脚本生成) | +| [`figures/README.md`](figures/README.md) | 论文插图清单:每张图的数据来源与生成命令 | +| [`figures/manifest.json`](figures/manifest.json) | 插图来源清单(可机读) | -## 逐问算法 +## 复现顺序 -| 文档 | 内容 | -| --- | --- | -| [`algo-1.md`](algo-1.md) | 问题一实现口径:半平面交、顶点对直径、直径圆充要判定、MEC 清除证书 | -| [`问题一解答.md`](问题一解答.md) | 问题一论文式解答:模型边界、算法可复现步骤、反例构造、演练验证 | -| [`algo-2.md`](algo-2.md) | 问题二:候选集 K1、保证接收盘、安全盘 B(c, 1000−a)、最坏后验选点 | -| [`algo-3.md`](algo-3.md) | 问题三:三层在线架构、七点解析覆盖、覆盖账本、任务调度与停止条件 | -| [`algo-3-bayes.md`](algo-3-bayes.md) | 问题三 `bayes` 策略:网格幸存集滤波、信息增益选点、动态 TSP、Optuna 调参 | -| [`algo-4.md`](algo-4.md) | 问题四:`forward_half_disk` 最小命中集、位置×朝向联合信念、后备盲清 | +```bash +python scripts/build_practice_data.py # 演练局复算 → 宏与表格 +python scripts/audit_paper_formal.py --snapshot docs/paper/data/formal-results.json +python scripts/build_paper_support.py # 附录正式数据表(--package 另出支撑包) +uv run python scripts/plot_paper_figures.py +cd docs/paper && latexmk -xelatex -interaction=nonstopmode -halt-on-error -outdir=build main.tex +``` -## 优化与验证 - -| 文档 | 内容 | -| --- | --- | -| [`第三四问架构优化与运行提速方案.md`](第三四问架构优化与运行提速方案.md) | 运行历史复核、分层目标架构、P0–P2 优化项与实施路线 | -| [`第三四问图论与动态规划优化方案.md`](第三四问图论与动态规划优化方案.md) | 图论/DP 引入方案与实测回填(含未采用的改动与原因) | -| [`算法审核与优化-20260911.md`](算法审核与优化-20260911.md) | 一次外部口径的算法审核记录与结论 | -| [`最优与基线实现对比.md`](最优与基线实现对比.md) | 1–4 问「最优实现 / 基线实现」对比框架与结果(论文口径说明) | -| [`B题问题3-4相关论文列表.md`](B题问题3-4相关论文列表.md) | 题 3、4 相关文献清单 | - -## 论文与插图 - -| 路径 | 内容 | -| --- | --- | -| [`paper/main.tex`](paper/main.tex) | 论文正文(`latexmk -xelatex main.tex`);插图经 `\graphicspath` 取自 [`figures/`](figures/README.md) | -| [`paper/README.md`](paper/README.md) | 论文编译方式、目录结构与待办标记 | -| [`figures/README.md`](figures/README.md) | 插图清单、配色与字体约定、数据来源与复现命令 | -| [`figures/manifest.json`](figures/manifest.json) | 每张图的数据来源与 sha256、生成命令 | -| [`../project/README.md`](../project/README.md) | 对比框架目录结构与运行方式;结果表由 `scripts/build_paper_support.py` 转入论文第 11 节 | - -## 口径登记 - -同一事实在多份文档中出现时,以下列来源为准;发现不一致请先改文档,再复核图。 - -| 事实 | 权威来源 | -| --- | --- | -| 题面常量(Ω、速度、各动作耗时、源与频道范围) | `src/mcm26b/config.py`(带 `[题面]` / `[工程]` 标注) | -| 指令字段与结果码 | `src/mcm26b/protocol/rules.py` + [`协议规则表与状态机.md`](协议规则表与状态机.md) | -| 问题一数值(D、ρ、E) | `mcm26b.geometry.solve` 的返回,或 [`问题一解答.md`](问题一解答.md) | -| 覆盖计划与证书 | `src/mcm26b/guarantee/plans/*.json`(`q4_mincover_v2.json` 为默认) | -| 实测虚拟时间 | 行为日志 `virtual_time_s` 字段与 `evaluation.recompute_virtual_time` | -| 冻结基准集对比结果 | `project/results/*.md`(由 `uv run python -m project.run` 生成);论文表格为 `docs/paper/data/project-*.tex`,由 `scripts/build_paper_support.py` 生成 | - -已知的两处需要随环境更新的引用: - -1. [`问题一解答.md`](问题一解答.md) 引用的 `output/q1/figures/*.png` 属于早期 - 离线插图(`output/` 未入库);现行插图在 [`figures/`](figures/README.md)。 -2. 多份文档提到的官方演练报告位于 `output/q3/practice/`、`output/q4/`, - 同样未入库;需要时用 `scripts/verify_q3_practice.py` 对留档目录复算。 - -## 写作约定 - -- 只写结论与依据,不使用比喻、排比与自评式措辞(例如「唯一权威」「关键洞察」)。 -- 数字必须能在代码或数据中找到出处;图内不放标题与解释段落, - 说明写在正文,图名与清单见 [`figures/README.md`](figures/README.md)。 -- 中文引号统一使用「」,避免与代码中的 ASCII 引号混淆。 +> `docs/paper/data/*.tex` 由脚本生成,一律使用 LF 换行:CRLF 会让 `\input` 进表格的行 +> 在 TeX 缓冲中提前 `\par` 化,触发 booktabs 的 “Misplaced \noalign”。 diff --git a/docs/algo-1.md b/docs/algo-1.md deleted file mode 100644 index e073d28..0000000 --- a/docs/algo-1.md +++ /dev/null @@ -1,266 +0,0 @@ -# 问题一算法说明:有界测向误差下的角域交会、直径与最小包围圆 - -> 本文按**当前仓库实现**重写,替代早期只描述理论方案的版本。 -> 问题一生产入口为 `src/mcm26b/geometry/localization.py::solve`,CLI 为 -> `python -m mcm26b.geometry`;问题二至四只复用其中的 -> `smallest_enclosing_circle` 与同一套角域半平面语义,并不直接调用 -> `solve`(复用与差异见 §7)。 - -## 1. 问题与实现入口 - -同一频道的同一静止干扰源,在若干检测点 $s_i=(s_{ix},s_{iy})$ 处得到示向度 -$\theta_i$。题设测向误差不超过 $\pm1^\circ$,同一地点重复测量误差不变; -示向度从正东逆时针计量。问题一要求定位区域的直径,并判断“以该直径为 -直径的圆”能否覆盖定位区域。 - -| 层次 | 文件 | 内容 | -| --- | --- | --- | -| 生产内核 | `src/mcm26b/geometry/localization.py` | `Measurement`、`halfplanes`、`convex_hull`、`diameter`、`smallest_enclosing_circle`、`solve` | -| CLI | `src/mcm26b/geometry/__main__.py` | 读 JSON、可加两位小数舍入裕量、输出结果 | -| 统一入口 | `src/mcm26b/cli.py` | `mcm26b q1` | -| 对比框架 | `project/q1/{optimal,baseline,reference,cases,compare}.py` | 生产实现 / 朴素基线 / 独立大框参考解 | -| 回归 | `tests/test_geometry.py`、`tests/test_geometry_certificates.py` | 解析形状、真值保留、随机对拍、证书边界 | -| 结果 | `examples/q1/*.json`、`project/results/q1.md` | 固定解析算例与 40 个随机交会算例的配对结果 | - -```bash -.venv/bin/python -m mcm26b.geometry examples/q1/triangle.json -.venv/bin/python -m mcm26b.geometry examples/q1/normal.json --rounding-margin-deg 0.005 -``` - -`--rounding-margin-deg` 默认 $0$;库内在线求解默认把服务器两位小数舍入的 -$\le0.005^\circ$ 偏差计入有效半角,这是**实现口径**,不是题面新增误差。 -问题一 CLI 只有显式传参才附加该裕量,以便同时报告纯 $1^\circ$ 与 -$1.005^\circ$ 两套敏感性结果。 - -## 2. 模型:把角域写成半平面交 - -令方向向量 $u(\alpha)=(\cos\alpha,\sin\alpha)$,二维叉积 -$[a,b]=a_xb_y-a_yb_x$。设误差半角为 $\delta$(题设主模型 $\delta=1^\circ$), -真实源 $g$ 属于闭前向角域 - -$$ -W(s,\theta,\delta)=\{g:\ [u(\theta-\delta),g-s]\ge0,\ -[u(\theta+\delta),g-s]\le0,\ u(\theta)\cdot(g-s)\ge0\}. -$$ - -对应实现中的三条半平面 $a x+b y\le c$ 为 - -| 约束 | $a$ | $b$ | $c$ | -| --- | --- | --- | --- | -| 下边界左侧 | $\sin(\theta-\delta)$ | $-\cos(\theta-\delta)$ | $a s_x+b s_y$ | -| 上边界右侧 | $-\sin(\theta+\delta)$ | $\cos(\theta+\delta)$ | $a s_x+b s_y$ | -| 前向 | $-\cos\theta$ | $-\sin\theta$ | $a s_x+b s_y$ | - -第三条前向约束在 $0<\delta<90^\circ$ 时冗余,但在 $\delta=0$ 时必须保留, -否则两条边界只确定一条直线而非一条射线。角域顶点按闭集处理;这是保守的 -几何含义,不表示边界点仍能返回方向读数。 - -$P=\bigcap_i W_i$ 是有限条闭半平面之交,因而是闭凸集;可能为空、单点、 -线段、有界多边形或无界多边形。实现不做正态、均匀或独立误差假设, -只使用题面给定的有界误差。 - -## 3. 精确算法流程 - -`solve(measurements, eps)` 的步骤如下。 - -### 3.1 坐标归一化与边界交点枚举 - -先对所有检测点做平移和统一缩放,使数值量级接近单位坐标;结果再换回原坐标。 - -1. 生成 $k=3n$ 条半平面。 -2. 枚举全部边界直线对($\binom{k}{2}$ 对),用行列式 - $\Delta=ae-bd$ 求交点;仅在 $\Delta$ 恰为 $0$ 时跳过,近平行对也保留, - 因为其交点可能是细长区域的合法远端顶点。 -3. 保留满足全部约束的交点;可行性判定使用随坐标量级缩放的位置容差 - `eps * max(1, |x|, |y|)`,避免大坐标下绝对残差被误判为不可行。 - -### 3.2 空集、有界与无界 - -- 无观测:$P=\mathbb R^2$,返回 `unbounded`。 -- 没有任何可行边界交点:返回 `empty`。 -- 否则检查衰退锥 $\mathcal R=\{d:Ad\le0\}$ 是否存在非零方向。二维情况下 - 该锥若非零必含一条与某条有效边界平行的极射线;实现只需检查每条约束的 - 两个切向 $(b,-a)$、$(-b,a)$ 是否满足全部齐次不等式 - $a d_x+b d_y\le 2\times10^{-14}$。阈值取得比位置容差紧得多,避免把 - 极细长有界区域误判成无界。 -- 存在非零衰退方向时返回 `unbounded`,直径为 `null` 且显式置 - `diameter_infinite=true`,不伪造有限数值。 - -### 3.3 凸包与状态分类 - -将可行交点去重后,用 Andrew 单调链求凸包(逆时针、无重复首尾点)。 -按顶点数与维数返回: - -| `status` | 含义 | 直径 | 最小包围圆 | -| --- | --- | --- | --- | -| `empty` | 观测不相容 | 未定义(`null`) | 不计算 | -| `unbounded` | 存在非零衰退方向 | $+\infty$(`null` + 标志) | 不计算 | -| `point` | 单点 | 0 | 半径 0 | -| `segment` | 线段 | 两端点距离 | 半径 = 直径 / 2 | -| `polygon` | 二维有界凸多边形 | 见 §3.4 | 见 §3.6 | - -### 3.4 直径:只需枚举顶点对(已证明) - -**定理 1.** 若 $P=\operatorname{conv}(V)$ 非空有界,则 -$D(P)=\max_{v_i,v_j\in V}\lVert v_i-v_j\rVert$。 - -证明:任一 $x,y\in P$ 写成凸组合后, -$x-y=\sum_{i,j}\lambda_i\mu_j(v_i-v_j)$,由三角不等式有 -$\lVert x-y\rVert\le\max_{i,j}\lVert v_i-v_j\rVert$,而最远顶点对本身 -属于 $P$,故上界可达。实现直接枚举顶点对,复杂度 $O(m^2)$;单点返回 0, -线段返回端点距离。 - -### 3.5 直径圆覆盖:唯一候选圆心是直径中点(已证明) - -**定理 2.** 取任意一组最远顶点 $a,b$,$D=\lVert a-b\rVert$, -$o=(a+b)/2$。存在直径为 $D$ 的覆盖圆,当且仅当所有顶点 $v_i$ 满足 -$\lVert v_i-o\rVert\le D/2$。 - -证明:若半径 $D/2$ 的圆心 $z$ 同时包含 $a,b$,则 -$D\le\lVert a-z\rVert+\lVert z-b\rVert\le D$,两个不等式都必须取等号, -故 $z$ 只能在两点中点。圆盘是凸集,检查全部顶点即检查整个凸包。 - -实现输出 `diameter_circle`:圆心、半径、全部顶点到圆心的最大距离、 -`covers` 布尔值、最大超出量 `max_excess_m`、圆外顶点索引 -`outside_vertex_indices` 和反例顶点 `witness_vertex`。`witness_vertex` -是一份可独立复核的覆盖失败证据;`max_excess_m` 不能为负,因为最远顶点 -本身在圆周上(精确算术下)。 - -### 3.6 最小包围圆与 20 m 清除证书 - -对凸包求最小包围圆 $\rho(P)$。实现采用 Welzl 随机增量算法的显式栈版本: -固定随机种子使结果可复现;三个强制边界点使用外接圆;输出前再对全部 -顶点复核一次。内部有 $O(m^4)$ 的 1/2/3 点支撑圆枚举参考实现 -(`_enclosing_circle_reference`)用于单测对拍。 - -在最小包围圆中心 $m$、半径 $\rho$ 处,若 -$\rho+\varepsilon_m\le20$,则可直接以 $m$ 为清除点:任意真源 -$g\in P\subseteq B(m,\rho)$,到 $m$ 的距离不超过 $\rho$。实现输出 -`minimum_enclosing_circle`、`guaranteed_clearable_at_mec_center` 以及 -`clearance_certificate`(含数值余量和剩余裕量)。 - -注意:直径 $D\le40$ 只是“可能一次清除”的必要条件,**不是充分条件**; -三角形反例中 $D=40$ 而 $\rho=23.094>20$。 - -## 4. 伪代码 - -```text -solve(measurements): - if measurements 为空: return unbounded - 平移/缩放,生成每条读数的三条半平面 - V = [] - for 每一对边界直线: - 求交点 p - if p 满足全部半平面: V.append(p) - if V 为空: return empty - if 存在非零衰退切向 d: return unbounded - H = convex_hull(V) - D, (a,b) = argmax_{v_i,v_j∈H} |v_i-v_j| - o = (a+b)/2 - covers = max_{v∈H} |v-o| <= D/2 - 输出 diameter、diameter_circle、witness - (m,rho) = Welzl_MEC(H) - 输出 minimum_enclosing_circle 与 rho+eps<=20 清除证书 -``` - -## 5. 复杂度与数值实现 - -| 步骤 | 复杂度 | -| --- | --- | -| 生成半平面 | $O(k)$,$k=3n$ | -| 边界交点枚举与可行性判定 | $O(k^3)$ | -| 凸包 | $O(k^2\log k)$ 最坏 | -| 直径 | $O(m^2)$ | -| 直径圆检查 | $O(m)$ | -| Welzl 最小圆 | 随机排列下期望 $O(m)$;固定排列不声称最坏线性 | - -主要数值约定: - -- 坐标归一化后计算,输出换回原坐标并重新复核包含性; -- 仅对**精确平行**直线对跳过求交;近平行对保留; -- 位置可行性容差随坐标幅值缩放;衰退锥判定使用独立紧阈值; -- `solve` 主动限制最多 100 个检测点,超过时要求改用半平面交算法; -- 所有输出用 `null`/显式标志表示空集和无界,不写非法 JSON 浮点数。 - -## 6. 已验证算例与结果 - -固定解析算例(`examples/q1`,当前代码实测): - -| 算例 | 状态 | 直径 (m) | MEC 半径 (m) | 直径圆覆盖 | 最大超出 (m) | MEC 可直接清除 | -| --- | --- | ---: | ---: | --- | ---: | --- | -| `normal` 三点交会 | polygon | 26.986 | 13.943 | 否(2 个圆外顶点) | 3.964 | 是 | -| `triangle` 等边三角形反例 | polygon | 40.000 | 23.094 | 否(1 个圆外顶点) | 14.641 | 否 | -| `segment` 零误差退化线段 | segment | 100.000 | 50.000 | 是 | 0.000 | 否 | -| `poor` 近共线检测点 | unbounded | — | — | — | — | — | -| `empty` 不相容观测 | empty | — | — | — | — | — | - -`triangle` 的三个顶点是 $(0,0)$、$(40,0)$、$(20,20\sqrt3)$:以直径 -$AB$ 为直径的圆圆心 $(20,0)$、半径 20,到 $C$ 的距离为 $20\sqrt3>20$, -故不能覆盖;最小包围圆半径 $40/\sqrt3\approx23.094$,也不能一次清除。 -其中 $A=(0,0)$ 坐标是浮点下的 $-6.4\times10^{-13}$,上表按解析值取整。 - -既有官方演练观测(案例 `U5ZW-P9KN-TCAG-R7ST`,不公开源坐标、未执行清除) -的复算结果: - -| 误差半角 | 直径 (m) | MEC 半径 (m) | 直径圆最大超出 (m) | -| --- | ---: | ---: | ---: | -| $1^\circ$ | 23.996723 | 12.068583 | 0.604002 | -| $1.005^\circ$ | 24.119088 | 12.130377 | 0.608486 | - -两种口径下直径圆都不覆盖定位区域,MEC 半径都小于 20 m,但该演练没有 -真实清除动作,不能据此声称实测定位误差或全清成功率。 - -`project/q1` 的 40 个随机交会算例(冻结算例与独立参考解对拍): - -| 方法 | 状态准确率 | 直径平均绝对误差 | 直径圆覆盖准确率 | 平均耗时 | -| --- | ---: | ---: | ---: | ---: | -| 生产 `solve` | 100% | 0.000 m | 100% | 0.086 ms | -| 朴素基线(网格 + 包围盒对角线) | 100% | 4.583 m | 52.5% | 15.932 ms | - -## 7. 与问题二/三/四当前实现的复用关系和差异(核对结果) - -问题一给出的几何内核是后续所有几何决策的基础,但**复用方式是“语义 + 最小圆函数”, -不是直接调用 `solve`**。代码层面的核对结果如下。 - -| 后续问题 | 实际复用了什么 | 实际没有复用 / 做了什么替换 | -| --- | --- | --- | -| 问题二(`planner.select_second_point`) | 同一套角域半平面语义;`smallest_enclosing_circle` 求候选集 MEC;用 MEC 半径构造保证接收盘 | 不调用 `solve`;候选集不是纯角域交,而是 $K_1=\Omega\cap W\cap B(s,1500)$;用 192 边形外包圆盘 + Sutherland–Hodgman 裁剪,而不是枚举直线交点;不计算直径,也不使用“直径中点圆”判据 | -| 问题三(`belief.CandidateRegion`、`planner.bayes_loop`) | 复用 `smallest_enclosing_circle`;角域边界公式与问题一相同;MEC 作为清除证书 | 在线信念是有界凸外包多边形,圆盘边界是外切多边形而非精确曲线;不再判无界;no_signal 的负观测由网格粒子滤波处理(问题一模型里没有负观测);不用直径,而用“MEC 半径 + 外包余量 + 工程余量 $\le20$” | -| 问题四(`planner.DirectionalExtension`、`belief.joint`) | 继续复用问题一的 MEC 与角域语义;(位置 × 朝向)联合信念也建立在同一网格上 | 定向源的 no_signal 不能排除位置,不能沿用问题一/三的纯角度或全向距离解释;覆盖语义改为 `forward_half_disk`(见 `algo-4.md`) | - -代码证据: - -- `src/mcm26b/belief/__init__.py` 只从 `geometry.localization` 导入 - `smallest_enclosing_circle`; -- `src/mcm26b/particles.py` 同样只导入 `smallest_enclosing_circle`; -- `生产/运行代码中 `geometry.localization.solve` 的调用者只有 - `geometry/__main__.py` 和 `project/q1/optimal.py`,即问题一 CLI 与其 - 对比框架;测试文件会直接调用它做解析与随机对拍,不在此列; -- 在线 `clip_wedge` 的半平面系数与问题一 `halfplanes` 一致,但作用在 - 凸多边形裁剪流程上;`solve` 的“纯角域 + 精确顶点枚举 + 无界判定” - 是针对问题一的一站式分析工具,不适合直接嵌入带圆盘、负观测和状态更新 - 的在线闭环。 - -**差异一句话总结:** 问题一回答“固定角域观测下源可能在哪里、直径圆能否覆盖”, -是纯几何精确解;问题二至四把其中的角域半平面和最小圆升级为“带距离先验的 -保守信念 + 主动动作 + 证据证明”的闭环,问题三再加非凸负观测,问题四再加 -朝向维度。 - -## 8. 结论与适用边界 - -问题一的当前实现是:三条半平面 → 可行顶点枚举/凸包 → 衰退锥判有界 → -顶点对精确直径 → 任意直径中点唯一候选的覆盖检验 → Welzl 最小包围圆与 -20 m 证书。其结论只依赖题面有界误差,不引入误差分布假设。空集、无界、 -点、线段和多边形状态都有明确输出。 - -未解决问题一的数值敏感性时,不应把在线闭环里的外包多边形半径直接当成 -问题一的精确直径;两者口径不同。反过来,在线闭环也不能把 `solve` 直接套在 -$K_1$ 上,因为 $K_1$ 含圆盘和距离上界,边界可能含圆弧。 - -## 参考文献 - -1. 全国大学生数学建模竞赛组委会. 2026 年高教社杯全国大学生数学建模竞赛 B 题:无线电干扰源的快速自动定位与清除[Z]. 2026. 本地题面 `issue/B题.pdf`。 -2. BOYD S, VANDENBERGHE L. Convex Optimization[M]. Cambridge University Press, 2004. 凸集、半平面与凸组合背景。 -3. WELZL E. Smallest enclosing disks (balls and ellipsoids)[C]//New Results and New Trends in Computer Science, LNCS 555, 1991: 359–370. 随机增量最小包围圆。 -4. 本项目. `docs/algo-2.md`(问题二当前实现). 问题二对本文半平面语义与最小圆的复用说明。 -5. 本项目. `docs/algo-3.md`、`docs/algo-4.md`. 在线闭环中的保守信念、负观测与联合信念差异。 diff --git a/docs/algo-2.md b/docs/algo-2.md deleted file mode 100644 index 9258a8b..0000000 --- a/docs/algo-2.md +++ /dev/null @@ -1,312 +0,0 @@ -# 问题二算法说明:保证接收的第二检测点选择(当前实现) - -> 本文按**当前仓库实际运行路径**重写。生产入口是 -> `src/mcm26b/planner.select_second_point`,其核心选点器是 -> `select_measurement_point`;`src/mcm26b/geometry/planning.py` 中的 -> `first_bearing_candidate_disk` 是解析充分证书与独立校核工具, -> 并不在运行时被 `select_second_point` 调用(见 §6 核对结果)。 - -## 1. 问题、实现入口与交付物 - -问题二给定一个全向干扰源的首次有效示向度 $(s,\theta)$,要求给出第二个 -检测点 $q$ 的选择策略、定位效果与候选区域。两个约束必须同时满足: - -1. **接收保证**:$q$ 到所有仍可能为真源的位置都不超过有效接收半径下界 - $R_-=1000$ m,否则第二次测量可能返回 `no_signal`,几何收益落空; -2. **定位效果**:在保证接收的候选点中,使第二次测量后的保守位置集合 - 尽量小。当前实现以“最坏后验最小包围半径”为主指标,以移动耗时为次指标。 - -| 层次 | 文件 | 内容 | -| --- | --- | --- | -| 在线入口 | `src/mcm26b/planner/__init__.py::select_second_point` | 由首次 `direction` 构造 $K_1$,返回 `SecondPointPlan` | -| 核心选点 | 同文件 `select_measurement_point` | 任意候选集的保证接收盘内选点 | -| 几何证书 | `src/mcm26b/geometry/planning.py::first_bearing_candidate_disk` | 截断角域解析外包圆与安全候选盘 | -| 信念构造 | `src/mcm26b/belief/__init__.py::BeliefState`、`CandidateRegion` | $K_1$ 的保守凸外包与更新 | -| 对比框架 | `project/q2/{optimal,baseline,reference,region,cases,compare}.py` | 生产选点器 / 两种朴素基线 / 保证盘内网格参考 | -| 回归 | `tests/test_planner.py`、`tests/test_geometry_certificates.py`、`tests/test_belief.py` | 接收保证、后验收缩、near 分支、解析证书 | -| 结果 | `project/results/q2.{md,json}` | 30 个随机首次示向度算例配对结果 | - -## 2. 首次观测后的候选集 $K_1$ - -### 2.1 精确定义 - -记首次检测点为 $s$、首次示向度为 $\theta$、误差半角 -$\delta_{\rm eff}=1^\circ+0.005^\circ$(题设误差 + 两位小数舍入裕量), -有效接收半径上界 $R_+=1500$ m,源位置圆域 $\Omega=B(0,1800)$。则 - -$$ -K_1=\Omega\cap W(s,\theta,\delta_{\rm eff})\cap B(s,R_+). -$$ - -真实源在合法观测下必属于 $K_1$。注意 $B(s,R_+)$ 的半径是**接收半径上界**: -`direction` 读数本身就隐含测得距离不超过 $R_+$;而 $B(s,R_-)$ 不在 $K_1$ -之中,因为第二次是否收到信号正是本问要保证的事。 - -### 2.2 实际保守表示 - -在线实现不直接处理圆弧边界,而用以下外切多边形表示 $K_1$: - -- 先取 $\Omega$ 的 192 边外切正多边形 $P_M(0,1800)$; -- 再与 $B(s,1500)$ 的 192 边外切正多边形求交; -- 最后用 Sutherland–Hodgman 逐半平面裁剪两条测向边界。 - -设圆盘外切多边形相对圆盘的最大径向超出为 $R(1-\cos(\pi/M))$。实现把每次 -圆盘裁剪的该量累加到 `CandidateRegion.slack_m`,因此维护的多边形满足 -$K_1\subseteq P_{\rm out}$,且 `slack_m` 是可审计的外包半径余量。 - -这条路径与问题一的区别:问题一在纯角域上枚举边界直线交点,精确处理 -空集/无界;问题二候选集一开始就被 $\Omega$ 和 $B(s,R_+)$ 限成有界集, -因此可以只用凸多边形裁剪。角域系数与问题一 `halfplanes` 完全一致: -$\sin(\theta-\delta)x-\cos(\theta-\delta)y\le c$ 与 -$-\sin(\theta+\delta)x+\cos(\theta+\delta)y\le c$。 - -## 3. 保证接收区域 - -### 3.1 一般集合形式 - -对非空紧候选集 $K$,定义 - -$$ -F_K(q)=\max_{g\in K}\lVert q-g\rVert,\qquad -\mathcal Q(K)=\{q:F_K(q)\le R_-\}=\bigcap_{g\in K}B(g,R_-). -$$ - -$F_K$ 是凸函数且 1-Lipschitz,$\mathcal Q(K)$ 是闭凸集。 - -**定理 1.** $\mathcal Q(K)\ne\varnothing$ 当且仅当 -$\rho(K)=\min_q F_K(q)\le R_-$,其中 $\rho(K)$ 是 $K$ 的最小包围半径。 - -证明:$\min_q F_K(q)$ 就是最小包围半径;存在 $q$ 使 $F_K(q)\le R_-$ 与 -其最小值不超过 $R_-$ 等价。证毕。 - -### 3.2 多边形外包给出的充分安全盘 - -设在线维护的多边形 $P_{\rm out}\supseteq K$,其最小包围圆为 -$B(m,\rho_{\rm out})$。任取 - -$$ -q\in B(m,\ R_- - \rho_{\rm out}-\eta),\qquad \eta=10^{-3}\ {\rm m}, -$$ - -则对任意真源 $g\in K$: - -$$ -\lVert q-g\rVert\le\lVert q-m\rVert+\lVert m-g\rVert -\le (R_--\rho_{\rm out}-\eta)+\rho_{\rm out} -=R_--\eta<1000. -$$ - -实现中 `safe_disk_radius(region)` 直接返回 -$R_--\rho_{\rm out}-10^{-3}$;因为 $\rho_{\rm out}$ 已是包含真实候选集 -的多边形最小包围半径,这个盘内的点到真实源的三角不等式上界严格小于 -1000 m。1 mm 的数值余量避免浮点贴边被 $r_{\rm eff}=1000$ 的源判成 -`no_signal`。若该半径 $<0$,说明当前凸外包的 MEC 半径已超过 1000 m: - -- 这**不能**证明真实 $\mathcal Q(K)$ 为空,只说明这个充分证书不够紧; -- 实现退化为探索 MEC 圆心,并在 `reason` 中明确标注“可能 `no_signal`”。 - -### 3.3 首次截断角域的解析候选盘 - -完全去掉 $\Omega$ 后,完整的截断角域 -$S=W(s,\theta,\delta)\cap B(s,R_+)$ 有一个精确最小包围圆: - -$$ -c=s+a\,u(\theta),\qquad a=\frac{R_+}{2\cos\delta},\qquad -S\subseteq B(c,a), -$$ - -对 $0\le\delta\le45^\circ$ 成立。简证:设 -$g=s+t\,u(\theta+\varphi)$,$0\le t\le R_+$, -$|\varphi|\le\delta$,则 -$\lVert g-c\rVert^2=t^2+a^2-2at\cos\varphi$。固定 $\varphi$ 时该式 -关于 $t$ 是凸二次函数,最大值在 $t=0$ 或 $t=R_+$ 处:前者为 $a^2$, -后者不超过 $R_+^2+a^2-2aR_+\cos\delta=a^2$(代入 -$a=R_+/(2\cos\delta)$),故 $S\subseteq B(c,a)$。最小性由三点 -$s$、$s+R_+u(\theta\pm\delta)$ 的加权距离恒等式给出:权重 -$\lambda_\pm=1/(4\cos^2\delta)$、 -$\lambda_0=1-1/(2\cos^2\delta)$ 非负且和为 1,且 -$c=\lambda_0s+\lambda_+p_++\lambda_-p_-$,故任何覆盖这三点的圆半径 -至少为 $a$。于是 - -$$ -\mathcal Q_0=B(c,\ R_- - a) -$$ - -是保证接收的充分候选区域。题设 $\delta_{\rm eff}\le1.005^\circ$ 时: - -| 误差半角 | 轴向中心距离 $a$ / m | 安全候选半径 $R_- - a$ / m | -| --- | ---: | ---: | -| $1^\circ$ | 750.114246 | 249.885754 | -| $1.005^\circ$ | 750.115391 | 249.884609 | - -该解析盘由 `first_bearing_candidate_disk` 实现并测试。它给出的是 -$S$ 的最小圆;由于 $K_1\subseteq S$,$B(c,R_- - a)\subseteq\mathcal Q(K_1)$ -是严格充分的。实际在线路径使用比 $S$ 更紧的 $K_1$ 凸外包,因此其安全盘 -通常大于该解析下界(例:`q2-4200` 的 $\rho_{\rm out}=674.59$ m, -安全盘半径 325.41 m,而解析下界约 249.89 m)。 - -## 4. 实际选点算法 - -### 4.1 入口伪代码 - -```text -select_second_point(client, s, theta): - region = CandidateRegion.initial(s) # Ω ∩ B(s,1500) 的外包 - region.clip_wedge(s, theta, 1.005°) # 交入首次角域 - return select_measurement_point(region, client.position) - -select_measurement_point(region, from_position): - (m, rho) = region.mec() # Welzl 最小包围圆 - safe = 1000 - rho - 1e-3 - if safe < 0: return MEC 圆心(探索,可能 no_signal) - 候选 = {m} ∪ {m + f*safe*(cos ψ, sin ψ)} - f ∈ {0.4, 0.75, 1.0}, ψ 取 12 个均匀方向 - 对每个候选 q: - 最坏后验 = max( 方向分支、near 分支 ) - 分数 = (最坏后验, 移动时间) - 取分数最小的 q - 用 1/4 间距加密复核 q 的最坏后验 - return q、最坏后验半径、移动耗时、理由 -``` - -当前 `search.candidate_rings=(0.0,0.4,0.75,1.0)`、`candidate_angles=12`, -去重后实际是 **37 个候选点**(圆心 + 3 环 × 12 方向)。所有点严格属于 -保证接收盘,因此第二次测量不会因距离不足返回 `no_signal`。 - -### 4.2 最坏后验评估 - -对候选点 $q$,最坏后验半径按以下有限枚举计算: - -1. 在候选集边界上以 `witness_spacing_m=60` m 采样见证点 - $g$(`region.witnesses`,含全部顶点); -2. 对每个 $g$,真实方位 $\phi=\operatorname{bearing}(q,g)$,枚举允许的 - 读数区间端点 $\phi\pm\delta_{\rm eff}$; -3. 对每个端点,复制候选多边形并用 `clip_wedge(q, 读数, δ_eff)` 得到后验 - 凸外包,记录其 MEC 半径; -4. 额外处理 `near` 分支:以 $B(q,5)$ 裁剪候选集,若交集非空,记录其 MEC - 半径;它代表“源离第二点不超过 5 m,直接光学定位清除”的分支; -5. 以上全部有效半径取最大值,就是该候选点的评估值。 - -该评估是**启发式上界近似**:它只对目标边界采样和读数区间端点取值, -没有覆盖连续集合上所有可能读数;但它可在候选点之间做一致比较。 -1/4 间距(15 m)的加密复核只提高输出数值的可信度,不改变“采样启发式” -这一事实。定理 1 保证接收,选点最优性没有全局证明。 - -### 4.3 清除与 `near` - -若第二次测量返回 `near`,源在 $q$ 的 5 m 内。由 `clear_certificate`: -候选集 $B(q,5)$ 的 MEC 半径至多略大于 5 m(外包多边形余量很小), -工程余量后仍远小于 20 m,因此可以在当前位置直接 `/clear`,不需要再取 -第三个测向读数。若返回 `direction`,则用新角域更新 $K$ 并继续按 -问题三/四的定位流程处理;后验半径若仍大于 20 m,**不能**声称两次定位 -已经完成。 - -## 5. 参数与复杂度 - -| 参数 | 默认值 | 作用 | -| --- | ---: | --- | -| `polygon_sides` | 192 | 圆盘外切多边形边数;$\Omega$ 处径向超出约 0.24 m | -| `bearing_rounding_margin_deg` | 0.005° | 两位小数舍入的显式裕量 | -| `witness_spacing_m` | 60 m | 粗评边界见证间距 | -| `candidate_rings` | (0, 0.4, 0.75, 1.0) | 安全盘内半径比例 | -| `candidate_angles` | 12 | 每环方向数;连同圆心共 37 个候选 | -| `near_radius_m` | 5 m | `near` 分支判定 | -| `clear_margin_m` | 0.5 m | 清除证书的额外工程余量 | - -若候选集顶点数为 $m$、候选点数为 $N_q$、边界见证数为 $N_g$,单次选点的 -粗评估约为 $O(N_qN_g\cdot{\rm clip}+N_q{\rm MEC})$,`clip` 为 -Sutherland–Hodgman 裁剪的 $O(m)$ 代价;再加一次 1/4 间距加密复核。 -这是明显可并行/缓存的小规模在线计算,不追求全局最优。 - -## 6. 实现核对结果:文档旧说法与当前运行路径的差异 - -早期说明只写到 `geometry/planning.py` 的解析候选盘,容易让人误以为 -`select_second_point` 直接调用它。当前代码的实际情况是: - -- `select_second_point` 构造 `CandidateRegion`($\Omega\cap B(s,1500)$ 的 - 192 边形外包)并用 `clip_wedge` 交入首次角域; -- 真正的选点发生在 `select_measurement_point`:它在上述凸外包的 MEC - 保证盘内做 37 点候选评估; -- `first_bearing_candidate_disk` 是解析证书函数,用于证明 - $B(s+au,1000-a)$ 的充分性,并被 - `tests/test_geometry_certificates.py` 以稠密角域采样校核; -- 生产路径不调用 `first_bearing_candidate_disk`,但两者给出同一性质的 - 保证:选出的点必能收到 `direction`/`near`。生产路径通常比解析盘更紧, - 因为它利用了 $K_1$ 完整形状而不是仅用其外包扇区。 - -因此,问题二的**严格保证**来自“安全盘点到候选集所有点的距离 $\le R_-$”, -解析盘是充分但不唯一的一种实现方式;**最优性**来自有限候选评估, -两者必须在说明中分开陈述。 - -## 7. 已验证结果 - -`project/q2` 在 30 个随机首次示向度算例上,用同一 $K_1$、同一评估器 -对四种方法配对比较(初始 $\rho$ 均值 681.47 m): - -| 方法 | 保证接收率 | 最坏后验均值 | 终值比 $\rho'/\rho$ | 平均移动 | 结论 | -| --- | ---: | ---: | ---: | ---: | --- | -| 生产选点器(保证盘内最小最坏后验) | **100%** | **73.89 m** | **0.104** | 170.4 s | 保证接收且后验最小 | -| 基线① 垂直 1000 m 最大交会角 | **0%** | 80.11 m | 0.116 | 200.0 s | 忽略接收距离,真源在远端必 `no_signal` | -| 基线② 直接取 MEC 圆心 | 100% | 340.75 m | 0.500 | 136.3 s | 保证接收但几乎不收缩 | -| 独立参考:保证盘内 9×9 网格枚举 | 100% | 75.63 m | 0.106 | 170.3 s | 生产采样接近网格最优 | - -代表性单例 `q2-4200`: - -| 指标 | 数值 | -| --- | ---: | -| $K_1$ MEC 圆心 | (1172.85, −225.68) | -| $K_1$ MEC 半径 $\rho$ | 674.59 m | -| 保证接收盘半径 | 325.41 m | -| 选中第二点 | (1257.07, 88.64) | -| 最坏后验半径 | 54.45 m | -| 移动耗时 | 181.42 s | - -## 8. 与问题一及问题三/四的关系(核对结果) - -| 对比 | 问题一 | 问题二(本文) | 问题三/四中的去向 | -| --- | --- | --- | --- | -| 信息模型 | 纯角域 $W$ | 角域 $W$ + 距离先验 $K_1=\Omega\cap W\cap B(s,R_+)$ | 问题三在任意后验 $K_c$ 上重复使用;问题四再叠加朝向维度 | -| 求解方式 | 枚举半平面边界交点、凸包、精确直径 | 圆盘外切多边形 + Sutherland–Hodgman 裁剪 | 问题三/四沿用 `CandidateRegion` 凸外包 | -| 决策类型 | 对固定观测做几何分析 | 主动选择下一个测量点 | 问题三是多源闭环;问题四是混合源闭环 | -| 主要输出 | 直径与直径圆覆盖 | `SecondPointPlan`(位置、最坏后验、移动耗时) | 问题三把它推广到定位子过程;问题四把它作为联合信念选点的基础候选之一 | -| 保证口径 | 几何精确(在输入模型内) | 接收严格保证;最坏后验是采样启发式 | 清除证书严格;选点与调度是启发式 | - -关键区别: - -1. 问题二不直接复用问题一的 `solve`,而是复用其角域语义和 - `smallest_enclosing_circle`;候选集多出圆盘和距离上界,不能当作 - “纯角域问题一”处理。 -2. 问题一的输出是直径和直径圆,问题二的清除判断改用最小包围半径 - $\rho\le20$;直径圆本身不参与在线清除。 -3. 问题三对同一个 `select_measurement_point` 做任意后验集上的复用, - 但同时引入网格粒子滤波处理 $K$ 无法表示的负观测(`no_signal`); - 问题二没有负观测更新,因为它假设第二次测量点已在保证接收盘内。 -4. 问题四不能直接使用“安全盘内必收到信号”的结论:定向源在安全盘内 - 也可能因朝向遮挡返回 `no_signal`。问题四保留问题二的安全盘作为 - 基础候选,但新增(位置 × 朝向)联合信念来判断可见性(见 - `algo-4.md`)。 - -## 9. 结论 - -问题二的当前实现可以概括为: - -- **候选集**:$K_1=\Omega\cap W(s,\theta,\delta_{\rm eff})\cap B(s,R_+)$, - 用 192 边形外包圆盘 + 半平面裁剪保守维护; -- **保证接收**:$B(m,R_--\rho_{\rm out}-10^{-3})$ 内的点必不返回 - `no_signal`;解析扇区最小圆给出可独立复核的充分候选盘 - $B(s+au,1000-a)$,$a=1500/(2\cos\delta)$; -- **选点**:在保证盘内取 37 个候选,以边界见证点 × 读数端点的最坏后验 - 包围半径为第一指标、移动时间为第二指标,选出后再做 1/4 间距加密复核; -- **清除**:若第二次返回 `near`,直接就地清除;否则把新角域交入后验, - 未达到 20 m 证书前继续测量。 - -严格保证与启发式性能优化在文档和代码中始终分开:接收保证有证明, -全局最优性没有证明;后者依赖自建的有限候选与固定评估口径。 - -## 参考文献 - -1. 全国大学生数学建模竞赛组委会. 2026 年高教社杯全国大学生数学建模竞赛 B 题[Z]. 2026. 本地题面 `issue/B题.pdf`。 -2. 模拟器配套材料. 附件 2:模拟器通信接口说明及编程指南[Z]. 2026. 本地附件 `issue/附件/附件2.docx`。 -3. BOYD S, VANDENBERGHE L. Convex Optimization[M]. Cambridge University Press, 2004. 凸性、最坏情形与鲁棒可行性背景。 -4. 本项目. `docs/algo-1.md`(问题一当前实现与复用差异)。 -5. 本项目. `docs/algo-3.md`、`docs/algo-4.md`(选点器在后续问题中的推广与边界)。 diff --git a/docs/algo-3-bayes.md b/docs/algo-3-bayes.md deleted file mode 100644 index 28b1606..0000000 --- a/docs/algo-3-bayes.md +++ /dev/null @@ -1,144 +0,0 @@ -# 算法说明:问题3 贝叶斯闭环(`bayes` 策略) - -> **历史补充文档.** 当前规范算法、最新默认参数与现行成绩口径见 -> [`algo-3.md`](algo-3.md);本文保留 2026-09-11 的设计与消融细节, -> 其中 `lambda_move_s=0.0105`、站点环半径 1200 m 等数字可能已被 -> 后续回填(现行默认见 `config.BayesConfig`,λ=0.05、环半径 1159.7 m)。 -> 两者冲突时以代码与 `algo-3.md` 为准。 - -对应实现:`src/mcm26b/particles.py`(感知层)、`src/mcm26b/planner/bayes_loop.py` -(决策层)、`scripts/benchmark_q3_bayes.py`(消融)、`scripts/tune_q3_bayes.py` -(Optuna 调参)。基线对比:`docs/algo-3.md` 的七点批量(`seven`,A2)。 - -## 1. 建模定位 - -问题3是部分可观察的在线决策问题:频道数未知(10–16/20)、位置未知、有效 -接收半径未知(1000–1500m)、测向误差 ±1°(服务器保留两位小数)。策略层 -只能拿到 `/measure` 与 `/clear` 的响应,目标是最小化"发现—定位—清除"的 -虚拟总时间。`bayes` 策略把它分解为三层滚动时域闭环: - -1. **感知层**:每频道一个贝叶斯后验(网格幸存集),融合全部正/负观测; -2. **决策层**:站点扫频、定位测量、清除三类任务统一建表,开放路径 - 最近邻 + 2-opt 排序,每个动作后滚动重排(动态 TSP); -3. **选点层**:默认按期望log幸存占比和“到检测点、再接近源”的移动代价评分。 - 已停靠位置可逐频道补交会观测,真实清除始终由完整角域证书批准。 - -2026-09-11 当前修订的审核与配对验收见 [三四问算法审核与优化](算法审核与优化-20260911.md)。 -本文件第5节是早期版本的历史结果,不应当作当前默认参数的复算结果。 - -## 2. 网格幸存集滤波与真源保留定理 - -每频道维护 Ω 上间距 h 的网格(h=14.65m,约 4.7 万格),`alive` 为幸存格 -集合。Voronoi 裕量 m = √2/2·h 是格心到格内任一点的最大距离;所有删除 -判定都内缩 m,即**仅当整格与可行集不相交时才删格**: - -| 观测 | 题面语义 | 删除判定 | -|---|---|---| -| `no_signal`@s | 距离 > r_eff ≥ 1000 | 删格心距 s ≤ 1000 − m 的格 | -| `direction`@s | 距离 ≤ 1500,\|读数−真值\| ≤ δ_eff | 删角向超出 δ_eff + asin(m/(d−m)) 或距 s > 1500 + m 的格 | -| `near`@s | 距离 ≤ 5 | 删格心距 s > 5 + m 的格 | - -**定理(真源保留)**:真源 P 满足全部题面约束;P 所在格的格心 g 满足 -|g−P| ≤ m,故"整格不相交"判定永不命中该格。因此任意观测序列后 P ∈ -幸存格的并集,且: - -- **缺席证明**:幸存集为空 ⟹ 可行集为空 ⟹ 该频道无源(严格); -- **清除证书**:MEC(幸存).R + m ≤ 20 − 工程余量 ⟹ 真源距清除点 ≤ 20; -- **跳测规则**:幸存格到测点最小距离 > 1500 + m ⟹ 该测量必 no_signal - 且无新排除,可跳过。 - -性质测试:`tests/test_particles.py`(随机源 × 随机测点 × 随机合法误差, -真源格永不被删;`tests/test_bayes_loop_q3.py` 端到端零异常)。 - -与 `belief.CandidateRegion`(保守凸外包)的分工:凸表示负责**清除证书** -(精确角域裁剪、收敛后触发),网格负责凸表示做不到的三件事——非凸负 -观测挖洞(no_signal 排除盘)、缺席提前证毕、跳测判定。两者同读一套 -响应流(`_record_measure`),任何一方证毕即收尾。 - -## 3. 信息增益选点 - -候选点集(二选一,按保证接收盘是否非空): - -- **保证接收盘** B(MEC_poly 圆心, 1000 − ρ_poly)(盘内必收 direction/near, - 几何同 `docs/algo-2.md` 定理1):环形采样(`search.candidate_rings`×12 方向); -- **宽候选集**(ρ_poly > 1000 时):PF MEC 的 1.0/1.5/2.0 倍探索环。 - -评分(`BayesConfig.score_mode`): - -- `radius`(可选):期望后验半径 —— 对 K 个代表假设(幸存格均匀抽样) - 各自模拟一次测量的幸存分支,分支半径用幸存子采样的质心最大距离近似, - r_eff~U(1000,1500) 的不确定性解析积分(p_no_signal = (d−1000)/500); - 总分 = E[半径] + λ·移动秒数(λ=0.1); -- `entropy`(当前默认,λ=0.0105):期望log幸存占比,加上λ乘以 - 当前点→候选检测点→候选源中心的移动秒数。来向对称候选补充固定全局方向网格。 - -这里的均匀先验、零误差代表读数和均匀接收半径是选点评分的工程假设, -不属于题面给定的概率模型;只有完整±1.005°角域与距离界参与安全证明。 - -λ 与半径同量纲,量级必须小:λ 过大时终局阶段"走 300m"的代价压过 -"半径 35m→25m"的收益,选点器原地重测、收敛停滞(消融实测 λ≥0.5 时 -单源定位步数翻倍)。 - -## 4. 统一任务循环(动态 TSP) - -每个决策点构建任务表并排序执行首个任务,随后滚动重排: - -- **站点任务**:七站(原点 + 当前1159.7m环六点)上的UNKNOWN频道; - 构造时验证全向覆盖解析界小于1000m,跳测规则与覆盖账本过滤; -- **定位任务**:DETECTED 且无证书的频道,位置由信息增益选点产生; -- **清除任务**:有证书(凸或网格)的频道,可沿当前位置方向移动证书圆心, - 但平移量与原半径之和不得超过清除证书阈值,节省最后一段接近路程。 - -排序 = 开放路径最近邻打底 + 2-opt 改进(`two_opt_passes` 轮,成本含 -移动 + 换频 + 动作耗时;换频按路径顺序逐步传递当前频道,clear保持频道; -终点自由不回起点)。这是 A2"站内最近邻服务 -队列"的推广:消融显示距离缩短约 24% 是主要收益来源。 - -停止条件与基线一致:清满 16(数量上界)或全部频道 CLEARED/ABSENT, -`stop_reason=all_resolved` 即停并 `/exit`——**虚拟时间即评测成绩口径** -[用户决策修订 2026-09-11]。复扫保险模式(`mcm26b run --persistent`, -原默认行为):找全后继续只复扫未清除频道直到清除数达 16、实机预算 -耗尽或虚拟安全余量(`search.virtual_reserve_s=10000s`)不足,供需要 -"防缺席证明假设偏差"保险的场景显式开启。 - -## 5. 消融结果(自建模拟器,persistent 关,对齐找全口径) - -12 随机场景(6 种子 × 10/16 源)+ 2 边界场景,与 SevenBatch 配对; -bayes 参数为 Optuna 回填后的库默认值: - -| 指标 | SevenBatch | bayes | -|---|---|---| -| 有效运行(全清+缺席正确+零异常+正常退出) | 14/14 | **14/14** | -| 平均虚拟时间 | 5352.7s | **3726.2s(−30.0%)** | -| 配对降幅(最差 / 最好) | — | +7% / −41% | -| 平均移动距离 | 23413m | **15050m(−36%)** | -| 平均检测次数 | 102.4 | 110.0 | -| 单局实机计算墙钟 | 1.3s | 1.9s | - -复现:`uv run python scripts/benchmark_q3_bayes.py --seeds 0,1,2,3,4,5` -(逐场景数据与场景 JSON 见 `output/q3/bayes-ablation/`)。 - -## 6. Optuna 调参 - -`scripts/tune_q3_bayes.py`:TPE(dev 依赖 `optuna`,缺失时自动退化为 -随机搜索),目标 = 场景子集平均虚拟时间 + 10⁶×失败惩罚。搜索空间: -λ、代表点数、子采样规模、网格间距、站点环半径、2-opt 轮数、评分模式。 -最优组合(entropy 评分、λ=0.0105、h=14.65m、代表点 7、2-opt 4 轮) -已按验收流程回填为 `config.BayesConfig` 默认值:全量基准 3726s/−30.0% -优于回填前的 4277s/−19.5%。两处人工修订: -- `station_ring_radius_m` 保留 1200(Optuna 建议 1159.7 虽再快约 60s, - 但七站排除盘对最外圈格心的覆盖差 3.3m,PF 无法独立证明缺席, - 只能靠覆盖账本兜底——设计性质优先于 1.7% 的均值差异); -- 评分模式在 entropy(信息增益)与 radius(期望后验半径)之间由调参 - 数据决定,两者实现均保留(`BayesConfig.score_mode`)。 -调参记录见 `output/q3/bayes-tuning/best_params.json`。 - -## 7. 已知边界 - -- 检测次数略多于 A2(109.6 vs 102.4):定位收敛多用 1-2 次测量换距离 - 大幅缩短,净收益为正;跳测规则在 UNKNOWN 阶段(先验全域)暂无收益 - 面,收益集中在定位与复扫阶段; -- 网格清除证书(h=25m 时阈值 ≤1.8m)极少触发,作为凸证书的补位保险; -- 调参与消融基于自建模拟器(逐点固定 ±1° 误差场),不代表官方误差 - 分布;真源保留定理只依赖题面界(±1°、r_eff∈[1000,1500]),不依赖 - 误差分布假设。 diff --git a/docs/algo-3.md b/docs/algo-3.md deleted file mode 100644 index 6475546..0000000 --- a/docs/algo-3.md +++ /dev/null @@ -1,456 +0,0 @@ -# 问题三算法说明:全向多源搜索的覆盖证明、贝叶斯闭环与任务调度(当前实现) - -> 本文汇总当前仓库中问题三的全部实际算法,生产默认策略为 -> `src/mcm26b/planner/bayes_loop.py::BayesLoop`(CLI 策略名 `bayes`)。 -> `grid`(`OmnidirectionalLoop`,49 点)与 `seven` -> (`SevenBatch`,七点解析覆盖 + 本站批量)保留为可复现对照。 -> 问题三当前生产不包含任何机器学习策略;历史 HRL/RL 代码已移除, -> 自建消融中手写基线稳定优于学习策略(见 `docs/第三四问架构优化与运行提速方案.md`)。 - -## 1. 问题定位与策略族 - -问题三中每局有 $10\sim16$ 个全向干扰源,位置未知、频道互异(1..20), -源位于 $\Omega=B(0,1800)$ 内;有效接收半径 $r_{\rm eff}$ 未知,但满足 -$1000\le r_{\rm eff}\le1500$ m。策略端只能看到协议响应 -(`direction` / `near` / `no_signal`),目标是发现、定位并清除全部源, -使虚拟总耗时尽量小,同时给出“不存在漏源”的证明或明确未完成。 - -| 策略 | 类 | 发现保证 | 定位/决策 | 角色 | -| --- | --- | --- | --- | --- | -| `grid` | `OmnidirectionalLoop` | 700 m 方格 49 点,单元对角 $700\sqrt2\approx989.95\le1000$ | 发现后立即就近定位,无信息增益 | 历史基线 | -| `seven` | `SevenBatch` | 原点 + 半径 1200 m 六等分环,解析覆盖界 968.90 m | 本站先扫频,再按候选集 MEC 圆心最近服务队列 | A2 中间对照 | -| `bayes` | `BayesLoop` | 七站环(默认半径 1159.7 m,界 984.54 m)+ PF 负观测 | 网格粒子滤波 + 信息增益选点 + 滚动任务排序 | **生产默认** | - -七站族还有 `SevenImmediate`(A1,发现即离站)与 `SevenSweep` -(A3,先扫完全域再统一服务)。它们的差异只在发现/定位的调度顺序, -七点覆盖证明与距离语义相同。 - -### 1.1 统一计时模型 - -忽略微秒量化时,一次动作回合的虚拟耗时为 - -$$ -T=\frac{L}{5}+5N_m+N_s+5N_c^++3N_c^-, -$$ - -其中 $L$ 为移动距离(速度 5 m/s),$N_m$ 为检测次数,$N_s$ 为换频次数, -$N_c^+$ 为成功清除次数,$N_c^-$ 为失败清除次数。`/clear` 本身不切换 -测向频道,`/exit` 不增加虚拟时间,访问顺序是起点固定、终点自由的**开放 -路径问题**,不是必须回到原点的 TSP 回路。官方内部按整数微秒累计,项目用 -`evaluation.recompute_virtual_time` 逐动作复算并校验。 - -## 2. 三层在线架构 - -`BayesLoop` 在 `OmnidirectionalLoop` 的会话/预算/收尾骨架上重构为三层: - -1. **保证层**:七点覆盖账本 `CoverageLedger` + 解析覆盖定理;负责 - “全测无信号 $\Rightarrow$ 该频道不存在源”。 -2. **信念层**: - - 凸候选集 `CandidateRegion`(正观测方向/近距离约束,用于清除证书); - - 网格幸存集 `ChannelParticles`(正/负观测统一更新,用于缺席证明、 - 跳测与信息增益); - - 两者同读一套响应流,任何一方证毕即结束该频道。 -3. **决策层**:统一任务表(站点扫频 / 定位测量 / 清除),开放路径 - 最近邻 + 2-opt 滚动重排;每执行一个任务后用真实响应重规划。 - -问题三不复用问题四的(位置 × 朝向)联合信念;`no_signal` 在全向源上 -可以排除 $B(s,1000)$。 - -## 3. 证据层:逐频道候选集与负观测 - -### 3.1 凸候选集 `CandidateRegion` - -对每个已收到过有效信号的频道 $c$ 维护凸多边形 $P_c^{\rm out}$: - -- 初始为 $\Omega$ 的 192 边外切正多边形; -- 每次 `direction`: - 1. 与 $B(s,1500)$(192 边外切多边形)求交; - 2. 与角域 $W(s,\theta,\delta_{\rm eff})$ 求交,$\delta_{\rm eff}=1^\circ+0.005^\circ$; -- `near`:与 $B(s,5)$ 外切多边形求交; -- `no_signal`:**不收缩凸候选集**。对全向源,负观测信息由 `ChannelParticles` - 处理;让凸表示保留所有正观测候选,可以避免因模型误差误删真源。 - -圆盘外切多边形的径向超出逐次累加到 `slack_m`,所有裁剪容差只向 -“保留更多候选”的方向倾斜,因此真源始终包含在 $P_c^{\rm out}$ 内。 - -清除证书使用 $P_c^{\rm out}$ 的最小包围圆 $B(m_c,\rho_c)$: - -$$ -\rho_c+\text{slack}_c+0.5\le20 -\quad\Longrightarrow\quad -\text{在 }m_c\text{ 处一次 `/clear` 必命中真源}. -$$ - -其中 $0.5$ m 是工程余量,slack 是外包多边形的半径余量;该判据是保守的 -充分条件,而不是“必须达到的最优半径”。 - -### 3.2 网格幸存集 `ChannelParticles` - -每个频道维护 $\Omega$ 外扩裕量上的方格网格,间距 -$h=14.65$ m,约 4.7 万格;Voronoi 裕量 - -$$ -m=\frac{\sqrt2}{2}h\approx10.359\ {\rm m} -$$ - -是格心到格内任一点的最大距离。所有删除判定都内缩 $m$:**只有整个格子与 -可行集不相交时才删除该格**。 - -| 观测 | 位置/距离更新 | 实现 | -| --- | --- | --- | -| `no_signal` @ $s$ | 距离 $>r_{\rm eff}\ge1000$,删除格心距 $s\le1000-m$ 的格 | `_kill_disk(s,1000-m)` | -| `direction` @ $s$,读数 $\theta$ | 距离 $\le1500$;角向偏差不超过 $\delta_{\rm eff}$ + 格内角裕量 | 先删距 $s>1500+m$ 的格,再删角向超出的格 | -| `near` @ $s$ | 距离 $\le5$ | 删格心距 $s>5+m$ 的格 | - -**定理(真源保留).** 真源 $P$ 所在格的格心 $g$ 满足 -$|g-P|\le m$;与真值一致的观测不会让该格与可行集完全不相交,因此 -“整格不相交”判定永不删除该格。于是: - -- **缺席证明**:幸存集为空 $\Longrightarrow$ 可行集为空 - $\Longrightarrow$ 该频道无源; -- **跳测规则**:若某测点到所有幸存格心的最小距离 $>1500+m$,则在该点 - 测量必为 `no_signal` 且不产生任何新排除,可直接跳过,省 5 秒检测和 - 1 秒换频; -- **PF 清除证书**:若幸存集 MEC 半径 $\rho_{\rm pf}$ 满足 - $\rho_{\rm pf}+m+0.5\le20$,则以该 MEC 圆心清除必命中真源。 - -`BayesLoop` 在每次测量后同步更新凸候选集与 PF,PF 只在频道尚未 -CLEARED/ABSENT 时接收新证据。 - -### 3.3 数量上界证明 - -题面给定每局源总数 $10\sim16$ 且每频道至多一个源。若 -`DETECTED`/`CLEARED` 的不同频道数达到 16,则所有仍未出现有效信号的 -`UNKNOWN` 频道都不可能有源,可直接标记为 `ABSENT`,证据来源记为 -`count_bound`。这条规则与位置无关,是严格计数证明,不需要等七站扫完。 -`summary.completion_basis` 会区分 `count_cap` 与 `per_channel_proof`, -避免把“达到数量上界”误读成“逐频道缺席证明”。 - -## 4. 发现保证:七点解析覆盖与覆盖账本 - -### 4.1 `full_disk` 语义 - -全向源在测点 $s$ 返回 `no_signal`,意味着真实距离严格大于 -$r_{\rm eff}\ge1000$。因此若集合 $S$ 满足 - -$$ -\Omega\subseteq\bigcup_{s\in S}B(s,1000), -$$ - -则任何合法源必在某个 $s\in S$ 的 1000 m 内,在该点不可能返回 -`no_signal`。于是“某频道在全部 $S$ 点都测得 `no_signal`”构成严格的 -缺席证明。 - -`CoverageLedger` 按 `(channel, point_index)` 二维记录,只有所有点都已测 -(或显式跳过)才允许 `coverage_complete(channel)=True`;“路过某点”不算 -“测过某频道”。 - -### 4.2 七点构造与解析界 - -取原点加半径 $a$ 的六等分环: - -$$ -S(a)=\{(0,0)\}\cup\left\{a(\cos(k\pi/3),\sin(k\pi/3)):\ k=0,\dots,5\right\}. -$$ - -**定理 1.** 当 $01000$ 时退化为探索 MEC 圆心,可能 `no_signal`)。盘内取 -37 个候选点(圆心 + 3 环 × 12 方向),以“边界见证点 × 读数区间端点 + -near 分支”的最坏后验 MEC 半径为主指标、移动时间为次指标;选出后再按 -1/4 间距加密复核。该函数最初为问题二实现,在问题三中服务于 -`SevenBatch`、`OmnidirectionalLoop` 的定位子循环,以及 `BayesLoop` -的阻塞式安全后备 `_localize_and_clear`。 - -### 5.2 `bayes` 的信息增益选点 - -`BayesLoop._select_point` 在 PF 幸存集上选择定位测点,候选集分两种: - -- 凸候选集安全盘非空:取 `select_measurement_point` 的环形候选,并额外 - 加入以当前位置到 MEC 圆心方向为轴的对称候选,以及零移动的当前位置; -- $\rho>1000$、无保证安全盘:取 PF MEC 的 $1.0/1.5/2.0$ 倍探索环和 - PF MEC 圆心。 - -对候选 $q$,默认评分模式 `entropy` 是期望对数幸存占比: - -$$ -\text{score}(q)= -\mathbb E[\log(\text{后验幸存占比})] -+\lambda\left(\frac{\lVert p-q\rVert}{5} -+\frac{\lVert q-m_{\rm MEC}\rVert}{5}\right), -\qquad \lambda=0.05. -$$ - -其中期望对代表假设(从幸存格均匀抽样)和 $r_{\rm eff}\sim U(1000,1500)$ -解析积分: - -- `no_signal` 分支(概率 $(d-1000)/500$):幸存格收缩到 - $B(q,1000-m)$ 之外; -- `direction` 分支:以代表点方位为期望读数,用 $\pm\delta_{\rm eff}$ - 角域裁剪后的子采样估计幸存占比; -- `near` 分支($d\le5+m$):后验为 5 m 盘,占比趋近零。 - -可选 `score_mode=radius` 直接最小化期望后验 MEC 半径。 -`score_subsample=800`、`mc_representatives=7` 是工程参数;均匀源分布、 -零误差代表读数和 $r_{\rm eff}$ 均匀分布都只是**选点评分假设**,不参与 -任何安全证明。安全证明只使用题面给定的 $\pm1.005^\circ$ 角域与距离界。 - -当前配置中以下“更强的耦合”均已实现但实测为净负收益,默认关闭: -`fuse_localize_into_tour=False`(站点顺带定位)、`exact_order_limit=0` -(Held-Karp 精确任务序)、`route_aware_probe=False`(路线感知探点)。 -代码与开关保留,便于复现与后续研究。 - -### 5.3 清除动作 - -`BayesLoop._best_certificate` 的优先级: - -1. **凸证书**:`clear_certificate(region)`; -2. **PF 证书**(`grid_cert_enabled=True`):负观测挖洞使 PF 幸存集更紧时, - 若 PF MEC 半径 $+m+0.5\le20$,用 PF MEC 圆心作为清除点。 - -得到证书后,`_near_clear_target` 还会把清除点从证书圆心向当前位置方向 -平移一小段:设当前证书半径 $r$、限值 $limit$,最多平移 -$\Delta=\min(\text{当前距离},limit-r-10^{-6})$,新目标点仍保证所有候选 -源在 $r+\Delta\le limit$ 内。该平移可省去最后一段接近路程,不放松证书。 - -定位子循环每频道最多 `max_localize_steps=8` 次追加测量;若在安全接收盘内 -出现 `no_signal`,记录异常 `no_signal_in_safe_disk`,不静默忽略。 - -## 6. 决策层:统一任务表与滚动重排 - -### 6.1 任务类型 - -`BayesLoop._build_tasks` 在每次决策点构建: - -| 任务 | 位置 | 服务时间 | 触发条件 | -| --- | --- | --- | --- | -| `station` | 七站之一 | $5\times$待测频道数 + 换频 | 该站仍有 `UNKNOWN` 频道未测,且跳测规则未排除 | -| `locate` | 信息增益选点 | 5 s + 可能的换频 | 频道 `DETECTED` 且暂无清除证书,且未委托给站点 | -| `clear` | 证书中心(可平移) | 5 s 成功(失败 3 s) | 频道有清除证书且未处于“清除失败后待补测”状态 | - -站点任务的服务时间计算当前频道优先:若机器人当前测向频道包含在待测集合, -则少一次换频。清除动作不改变测向频道。 - -### 6.2 跳测规则 - -`guaranteed_no_signal(station)`:若该频道所有幸存格心到站点的距离都 -大于 $1500+m$,则该次测量必为 `no_signal` 且不会产生新排除,任务构造时 -直接跳过。跳测缓存按 PF `version` 生效;幸存集单调收缩,因此判定单调。 -这条规则是负观测给问题三带来的主要检测节省之一。 - -### 6.3 开放路径排序 - -任务表规模通常为 6~12 项,代价包含移动、检测、换频,终点自由。默认: - -1. 最近邻构造初始序; -2. 开放路径 2-opt 改进,最多 `two_opt_passes=4` 轮; -3. 换频代价按实际频道状态沿路径逐步传递,而不是固定服务费; -4. 执行排序后的**第一个任务**,拿到响应后立即回到决策点重新构建/排序 - (滚动时域)。 - -可选的 Held-Karp 精确 DP(含“已访问集合 × 结束时频道”状态)与 -`route_aware_probe` 路线感知精修均已实现;在当前冻结基准集上, -精确 DP 与 2-opt 差距在噪声内(甚至略差),默认关闭。 - -### 6.4 已停靠位置的机会测量 - -`_measure_at_stop` 在每次决策点评估当前位置是否值得顺带补测已发现频道: -只对尚未在该 0.5 m 点测过、无证书、到凸候选集所有顶点距离均不超过 -$1000-10^{-3}$ m、且预测后验半径至少收缩 -`opportunistic_radius_ratio=0.5` 的频道追加一次测量。每次仍支付 5 秒与 -实际换频成本,只是省去移动;它不是“免费检测”。 - -## 7. 停止、预算与异常收尾 - -### 7.1 完成证明 - -循环停止后,`summary.completed` 的依据分两类: - -- `count_cap`:清除数达到 16(题面源数上界); -- `per_channel_proof`:每个频道状态都是 `CLEARED` 或 `ABSENT`。 - -缺席证据在 `summary.absence_evidence` 中逐频道记录来源: - -| 证据 | 条件 | 严格性 | -| --- | --- | --- | -| `pf_empty` | 某频道 PF 幸存集为空 | 严格(Voronoi 真源保留) | -| `coverage` | 七点/49 点全部测得 `no_signal`(或计划上显式跳过) | 严格(解析/校核覆盖) | -| `count_bound` | 已有 16 个不同频道的有效存在证据 | 严格(题面数量上界) | - -`persistent_search` **默认 False**:一旦“每频道已清除或证明不存在”就立即 -`/exit`,因为虚拟时间是成绩口径。显式 `--persistent` 会继续复扫未清除 -频道直到清除数达 16、实机预算耗尽或虚拟安全余量不足;历史官方演练证明 -无条件复扫会浪费大量时间,因此该项目只作为可审计的保险开关保留。 - -### 7.2 预算与中断 - -- 虚拟安全余量 `virtual_reserve_s=10000` s:剩余虚拟时间不足以完成 - 一个保守单动作上界时停止发起新动作,避免触及 100 小时上限; -- 现实预算以服务器 `/enter` 返回的 `remaining_real_duration_s` 为准; - `DeadlineExceeded` 时 stop_reason 记为 `real_budget_exhausted`; -- 传输、协议或守恒性异常都会尽力 `/exit` 并输出未完成 summary, - 不静默丢会话;`completed=False` 与具体 `stop_reason` 同时留档。 - -## 8. 基线与自建消融 - -### 8.1 调度变体 - -| 版本 | 发现/定位关系 | 说明 | -| --- | --- | --- | -| A0 `grid` | 49 点,发现后立即离站定位 | 历史生产基线 | -| A1 `SevenImmediate` | 七点,发现后立即离站定位 | 只替换覆盖点 | -| A2 `SevenBatch` | 七点,本站先扫完再按最近候选圆心服务队列 | 中间对照,曾用于官方演练 | -| A3 `SevenSweep` | 七点,先扫完全部必要站点再统一服务 | 批量调度的另一极端 | - -A2 相对 A0 的收益主要来自“减少站间往返 + 每站批量扫频 + 无源频道只需 -7 次而不是 49 次检测”。在早期 12 个自建场景上,A0/A1/A2/A3 平均虚拟 -时间分别为 13788.04 / 7476.09 / 5496.20 / 6094.73 秒,A2 逐局平均降幅 -58.55%;更晚的 14 场景消融中,`bayes` 相对 A2 再降 30.0% -(3726.2 s vs 5352.7 s)。这些数字来自自建模拟器与固定误差场,不是官方成绩。 - -### 8.2 冻结基准集当前结果 - -`project/q3` 在 18 个冻结 core 场景(seeds 100–105 × 10/13/16 源, -`harness/suites.py` 版本化清单)上的配对结果: - -| 方法 | 有效局 | 全清率 | 虚拟时间均值 | 中位 | 最大 | 检测均值 | 请求均值 | 位移均值 | -| --- | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | -| `bayes` | 18/18 | 100% | **3188.7 s** | 3111.3 s | 3663.7 s | 111.1 | 124.1 | 12338 m | -| `seven` | 18/18 | 100% | 5361.7 s | 5367.5 s | 6462.4 s | 100.8 | 113.8 | 23508 m | -| `grid` | 18/18 | 100% | 14935.7 s | 15275.1 s | 16691.4 s | 430.6 | 443.6 | 61550 m | - -配对变化:`bayes` 相对 `grid` 虚拟时间 **−78.4%**,18/18 场景更快; -所有 54 局零缺席误判、零异常、正常退出且计时复算一致。另有边界场景 -(源在 $\Omega$ 边界、$r_{\rm eff}=1000$)验证七点覆盖的扇区接缝。 - -### 8.3 官方演练记录(历史口径) - -- 旧 49 点实现通过官方问题三演练案例 `DHFK-PHD2-SR2P-FXK9`: - 10/10 全清、540 次检测、10 次清除,虚拟总时间 16217.45 s, - 现实 7.629 s; -- A2 七点批量通过官方案例 `J4ER-Y9EP-Q379-UPFA`:12/12 全清、 - 109 次检测、虚拟 5232.13 s、现实 3.406 s; -- 后续一次官方问题三演练(`3BW5-9R54-NZNA-MYB9`)记录 13/13 全清、 - 虚拟 4058.71 s。 - -以上案例的源场景、实现版本、误差场均不同,不能直接横向比较,也不能把 -历史官方数字当成当前 `bayes` 同案例重跑结果。当前默认 `bayes` 的官方向 -成绩仍需新的演练验证。 - -## 9. 复杂度、参数与保守性边界 - -| 模块 | 计算量(近似) | -| --- | --- | -| PF 更新 | 与删除格/角向扫描的幸存格数相关;粗格索引与向量化(numpy 可选)控制常数 | -| 七点覆盖 | 最多 $7\times20=140$ 个 `(站, 频道)` 记录 | -| 任务排序 | 最近邻 $O(n^2)$ + 2-opt $O(n^2)$/轮;精确 DP 为 $O(2^nn\cdot|C|)$,默认关闭 | -| 凸候选集 | 192 边形外切 + $O(m)$ Sutherland–Hodgman 裁剪;MEC 用 Welzl | -| 选点评分 | $O(N_q\times(\text{子采样}))$;候选约 37 个,子采样 800 | - -保守性边界: - -- 所有“证毕”结论依赖题面观测语义和保守外包/内缩;若接口语义、 - 接收半径范围或误差界改变,必须重新校核; -- 性能结论依赖自建场景分布、固定误差场和排序启发式,不构成对全部合法 - 场景的最坏时间保证; -- PF 的均匀先验与信息增益评分是选点启发式,不是官方概率模型; -- `persistent_search` 关闭时,如果官方场景违反题面数量上界或存在模型外 - 行为,不能由本算法保证发现;官方接口语义变化时必须记录异常而不是 - 强行把未完成解释为成功。 - -## 10. 与问题一、二、四当前实现的复用关系和差异(核对结果) - -| 复用/差异 | 具体情况 | -| --- | --- | -| 问题一几何内核 | `belief/__init__.py` 与 `particles.py` 只从 `geometry.localization` 导入 `smallest_enclosing_circle`;在线 `clip_wedge` 复刻同一半平面公式,但工作在凸多边形裁剪流程,不调用 `solve` | -| 问题二选点器 | `select_measurement_point` 直接从问题二推广而来,问题三用它做基线定位与安全后备;`safe_disk_radius` 同样复用 | -| 问题一没有的 | 负观测 `no_signal`、PF 非凸挖洞、覆盖缺席证明、数量上界、任务排序、滚动时域、预算/异常治理 | -| 问题二没有的 | 多频道数据关联、发现覆盖、清除动作、在线顺序决策;问题二只做一次第二点选择 | -| 问题四的差异 | 问题四不能用七点 `full_disk` 缺席证明;`no_signal` 可能由朝向遮挡造成,因此改用 `forward_half_disk` 31 点覆盖 +(位置 × 朝向)联合信念 + 预算化后备清除(见 `algo-4.md`) | - -一句话概括:**问题三 = 问题一的保守几何 + 问题二的保证接收选点 + 逐频道非凸负观测 + 覆盖/数量缺席证明 + 开放路径滚动调度**。 - -## 11. 复现与参考 - -```bash -# 冻结基准集:bayes vs seven_batch(runner 内置策略名) -uv run python scripts/run_suite.py --problem 3 --suite core --jobs 6 \ - --variants bayes,seven_batch --label q3-core - -# 项目对比框架(含 grid 基线,生成 project/results/q3.{md,json}) -uv run python -m project.run --question 3 - -# 回归测试 -uv run pytest tests/test_particles.py tests/test_bayes_loop_q3.py \ - tests/test_planner.py tests/test_coverage_plan.py tests/test_safety_valves.py -q -``` - -主要文件: - -- `src/mcm26b/planner/bayes_loop.py`:`bayes` 决策层; -- `src/mcm26b/planner/__init__.py`:`OmnidirectionalLoop`、问题二选点器、清除证书; -- `src/mcm26b/planner/seven.py`:七点策略族与覆盖校验; -- `src/mcm26b/particles.py`:网格幸存集与信息增益; -- `src/mcm26b/belief/__init__.py`:凸候选集; -- `src/mcm26b/coverage/__init__.py`、`src/mcm26b/guarantee/cover.py`:覆盖账本与校核; -- `src/mcm26b/routing.py`:开放路径 DP/2-opt/MST 下界; -- `src/mcm26b/planner/bayes_loop.py::_exact_order`:可选 Held-Karp。 - -延伸阅读:`docs/algo-3-bayes.md`(早期贝叶斯闭环设计与消融细节)、 -`docs/第三四问架构优化与运行提速方案.md`(运行历史与瓶颈)、 -`docs/第三四问图论与动态规划优化方案.md`(图论/DP 轮实测与负面结论)。 - -## 参考文献 - -1. 全国大学生数学建模竞赛组委会. 2026 年高教社杯全国大学生数学建模竞赛 B 题[Z]. 2026. 本地题面 `issue/B题.pdf`。 -2. 模拟器配套材料. 附件 1《模拟器使用说明》、附件 2《通信接口说明及编程指南》[Z]. 2026. 本地 `issue/附件/`。 -3. 本项目. `docs/algo-1.md`、`docs/algo-2.md`、`docs/algo-4.md`。 -4. 本项目. `docs/算法审核与优化-20260911.md`、`docs/第三四问架构优化与运行提速方案.md`、`docs/第三四问图论与动态规划优化方案.md`。 diff --git a/docs/algo-4.md b/docs/algo-4.md deleted file mode 100644 index 5c8da37..0000000 --- a/docs/algo-4.md +++ /dev/null @@ -1,485 +0,0 @@ -# 问题四算法说明:混合全向/定向源搜索与清除闭环(当前实现) - -> 本文汇总当前仓库中问题四的全部实际算法。生产策略是 -> `src/mcm26b/planner/__init__.py::DirectionalExtension`,CLI 策略名 -> `directional`,入口为 `mcm26b run --problem 4`。 -> 与问题三不同,问题四的源可能包含定向源;`no_signal` 不再等价于 -> “距离超过接收半径”,因此问题三的七站全向缺席证明**不能直接搬用**。 -> 当前仓库尚无官方问题四演练记录;本文性能数字均来自自建 -> `LocalSimulator` 冻结基准集,明确标注为测试假设。 - -## 1. 问题定位与核心难点 - -问题四每局有 $10\sim16$ 个源,其中一部分为定向源,其余为全向源; -位置在 $\Omega=B(0,1800)$ 内,频道互异。定向源有一个朝向 -$h$,只有当接收点位于其**前向半平面**内、且距离不超过 $r_{\rm eff}$ -时才可能返回有效读数: - -$$ -r=\lVert q-P\rVert\le r_{\rm eff}\quad\text{且}\quad -\operatorname{angular\_gap}\big(\operatorname{bearing}(P\to q),h\big) -\le90^\circ . -$$ - -其中 $r_{\rm eff}$ 对每个源未知,满足 $1000\le r_{\rm eff}\le1500$ m。 -若 $r>r_{\rm eff}$ 或朝向不覆盖接收点,结果为 `no_signal`;若可见且 -$r\le5$ m,结果为 `near`;若可见且 $r>5$ m,结果为 `direction`, -数值为接收点到源的方位加有界误差。 - -因此问题四的困难不是一般的“覆盖搜索”,而是两个额外的证明/决策问题: - -1. **发现**:如何用有限的访问点证明“某个频道没有源”,即使该源是 - 朝外发射的定向源; -2. **定位与清除**:定向源的 `no_signal` 可能只是朝向遮挡,不能像全向源 - 那样删除位置候选;需要推理“源可能朝哪边”,并在定位停滞时仍能可靠 - 清除。 - -当前实现的办法是: - -- 发现层用 `forward_half_disk` 语义的 31 点最小命中集覆盖计划 - (`q4_mincover_v2`); -- 感知层在原有位置网格上叠加 24 档朝向掩码,得到(位置 × 朝向)联合 - 可行集 `JointBelief`; -- 决策层用联合信念的可见性概率筛选探点,失败时按预算进入 ≤20 m 的 - 有限格后备清除; -- 调度层用“本站批量扫频 + 按候选 MEC 圆心最近服务队列”的滚动顺序, - 避免发现后立即远行、再返回同站扫描的往返。 - -| 层次 | 文件/类 | 作用 | -| --- | --- | --- | -| 覆盖计划 | `src/mcm26b/guarantee/cover.py`、`guarantee/plans/q4_mincover_v2.json` | `forward_half_disk` 最小命中集与运行期校核 | -| 位置网格 | `src/mcm26b/particles.py::ChannelParticles` | 位置幸存集与 Voronoi 保守裕量 | -| 朝向联合信念 | `src/mcm26b/belief/joint.py::JointBelief` | 每格 24 档朝向掩码、可见性/期望后验半径 | -| 决策闭环 | `src/mcm26b/planner/__init__.py::DirectionalExtension` | 批量扫频、可见性探点、后备清除、收尾 | -| 对比框架 | `project/q4/{optimal,baseline,compare}.py` | `directional` vs `bayes`/`grid` 直接搬用 | -| 回归 | `tests/test_loop_q4.py`、`tests/test_joint_belief.py`、`tests/test_coverage_plan.py` | 真源保留、朝外边界源、后备纪律、证书校核 | -| 结果 | `project/results/q4.{md,json}` | 11 个 core+boundary 场景配对结果 | - -## 2. 发现覆盖:`forward_half_disk` 与最小命中集 - -### 2.1 覆盖语义 - -设访问点集合为 $S$。对全向源,`no_signal` 在 $s$ 处排除 $B(s,1000)$, -因此完整覆盖只需 - -$$ -\Omega\subseteq\bigcup_{s\in S}B(s,1000). -$$ - -对定向源,还需要朝向条件。严格的缺席证明要求: - -$$ -\forall P\in\Omega,\ \forall h\in\mathbb S^1,\quad -\exists s\in S:\quad -\lVert s-P\rVert\le1000 -\ \wedge\ (s-P)\cdot u(h)\ge0 . -$$ - -也就是说,对任意位置和任意朝向,至少有一个被访问点同时落在该源的 -1000 m 距离内和 90° 前向半平面内。这个语义称为 `forward_half_disk`。 -问题三的七站环不满足该语义:`tests/test_coverage_plan.py` 中有专门用例 -验证“七站点集在 `forward_half_disk` 下有缺口”。 - -### 2.2 49 点 legacy 充分条件 - -旧实现使用 $S=\{(700i,700j):i,j\in[-3,3]\}$ 的 49 个点: - -- 任意 $P\in[-2100,2100]^2$ 到某个网格点的欧氏距离不超过 - $700\sqrt2\approx989.95\le1000$; -- 因此对该网格点,无论源朝向如何(前向半平面总是 $180^\circ$), - 距离条件都成立。 - -这是 49 点充分条件,保证发现但代价很高:最近邻开放巡回约 36.4 km; -对无源频道还要在 49 个点各测一次。它现在保留为 legacy 对照与回退计划 -`square49`。 - -### 2.3 31 点最小命中集 `q4_mincover_v2` - -当前默认计划由离线贪心集合覆盖搜索得到,并带有可运行期校验证书。 -生成参数:搜索分辨率 50 m / 48 档,设计距离裕量 -$r_{\rm design}=965$ m,前向角裕量 $5^\circ$;随后用证书分辨率 -15 m / 72 档($3\,256\,200$ 个 $(P,h)$ 采样)做精细剪枝,每删一个点都 -用同一证书口径复核。 - -`q4_mincover_v2` 的证书摘要: - -| 字段 | 值 | -| --- | ---: | -| 点数 | 31 | -| 覆盖语义 | `forward_half_disk` | -| 校核分辨率 | 15 m / 72 朝向档 | -| 采样目标数 | 3 256 200 | -| 缺口数 | 0 | -| 最坏命中距离 | 990.051 m | -| 最近邻开放巡回 | 23 883.8 m(约 4776.8 s 虚拟移动) | -| 生成器 SHA-256 | `adf4fe6e…434c0e1d`(完整值见 JSON) | - -旧 `q4_mincover_v1`(31 点)在粗采样 75 m/24 档下看似零缺口,但在 -25 m/48 档有 125 个缺口、15 m/72 档有 566 个缺口,属于采样过拟合; -`q4_mincover_v2` 修正了这一点,点数不变而细网格缺口归零。 - -**严格连续空间证书的已知残余风险.** 15 m/72 采样格上的零缺口加上设计 -裕量可以覆盖相邻未采样 $(P,h)$,但默认 v2 的最坏命中距离 990.051 m -略高于严格连续界要求的约 989.4 m(需满足 -$r_{\rm verify}+15\sqrt2/2\le1000$,即 $r_{\rm verify}\le989.4$ m)。 -仓库另有 36 点备选计划(最坏命中 973.7 m、巡回约 25.4 km,见 -`output/q4/cover-certificate-v3.json`)可关闭该连续性缺口;当前默认的 -v2 在 15 m/72 离散证书上零缺口,连续空间残余约 0.65 m,已作为已知 -风险登记。若论文要求严格连续证明,应改用 36 点方案并重新验收性能。 - -### 2.4 运行期校验 - -`load_plan(name, verify=True)` 会读取计划 JSON 中的证书字段,并用 -**证书自带的采样分辨率**重新校核;缺口不为 0 直接拒绝启动。默认 -`search.verify_coverage_plan=True`。校核成本在进程内按计划名缓存一次, -15 m/72 档约数秒(见 `scripts/run_suite.py` 的 `plan_verify_wall_s`)。 -运行期不会用比证书更粗的采样去“自证”。 - -## 3. (位置 × 朝向)联合信念 `JointBelief` - -### 3.1 网格与朝向档 - -位置维度复用 `ChannelParticles`:间距 $h=14.65$ m、Voronoi 裕量 -$m=\sqrt2/2\,h\approx10.359$ m;朝向维度把整周分为 -24 档(每档 $15^\circ$,半档 $7.5^\circ$)。每个位置格附带一个 24 位 -掩码,表示该格仍可能具有的朝向;缺省掩码为全档。 - -联合集合的保守性目标是:**真源 (位置, 朝向) 永不被删除**(在该离散 -表示意义下,即真源所在格的朝向至少保留一档,且位置格不被删)。因此 -所有判定都向“保留更多”的一侧取整,并计入格内角裕量 - -$$ -\alpha_{\rm cell}=\arcsin\!\left(\frac{m}{\max(d-m,1)}\right), -$$ - -即格内任一点相对格心到测点方位的最大偏差上界。 - -### 3.2 观测更新规则 - -| 观测 | 位置维度 | 朝向维度 | -| --- | --- | --- | -| `direction` @ $s$,读数 $\beta$ | 删除距 $s>1500+m$ 的格;删除角向偏离读数超过 $\delta_{\rm eff}+\alpha_{\rm cell}$ 的格 | 朝向必须**可能覆盖** $s$:保留与方位 $\operatorname{bearing}(g\to s)$ 夹角不超过 $90^\circ+7.5^\circ+1.5^\circ+\alpha_{\rm cell}$ 的档 | -| `near` @ $s$ | 删除距 $s>5+m$ 的格 | 同 `direction`:朝向必须可能覆盖 $s$ | -| `no_signal` @ $s$ | **位置不删**(可能是距离不足或朝向遮挡) | 仅对“整格必在 $r_{\rm eff,min}=1000$ 圆盘内”的格,保留与方位夹角大于 $90^\circ-7.5^\circ-1.5^\circ-\alpha_{\rm cell}$ 的档,即只保留**确定看不见** $s$ 的朝向档;掩码变空则删除该位置格 | - -其中 `1.5°` 是朝向查表分辨率带来的保守余量,$7.5^\circ$ 是半档。 -`no_signal` 的距离阈值使用 $1000-m$(保守侧):只有在确信整格都在 -1000 m 内时,才把静默解释为朝向遮挡;否则保留全部朝向档,避免删掉 -真源。 - -> 2026-09-12 修复记录:早期实现把 `no_signal` 分支的朝向掩码方向写反, -> 会删除真源朝向档;现已改为“只保留确定看不见的档”,并由 -> `tests/test_joint_belief.py::test_true_source_survives_consistent_observations` -> 以随机观测序列固化。 - -联合集一旦为空(所有位置格都被删除),就给出该频道不存在的严格缺席 -证明,`absence_evidence` 记为 `joint_empty`。这与覆盖证明是两类独立证据。 - -### 3.3 可见性与值函数 - -`JointBelief` 提供两个只用于选点排序的启发式量: - -1. `prob_detect(q)`:在测点 $q$ 能看见该频道任一可行 - (位置, 朝向) 的概率质量。对抽样格心 $P$: - - 距离概率:$d\le1000$ 时为 1;$d\ge1500$ 时为 0;中间线性插值 - (对应 $r_{\rm eff}\sim U[1000,1500]$); - - 朝向覆盖比例:该格掩码中与“$P\to q$ 方位”夹角不超过 - $90^\circ$ 的档位占比; - - 两者相乘后对格取平均。 -2. `expected_posterior_radius(q)`:一次测量后的期望后验 MEC 半径(D1 - 值函数)。对每个代表格: - -$$ -p_{\rm vis}=(1-p_{\rm silent\_range})\cdot\text{cover\_ratio}, -\quad -p_{\rm ns}=1-p_{\rm vis}, -$$ - - - `direction` 分支:后验半径用“以 $P\to q$ 方位为读数、$\pm\delta_{\rm eff}$ - 角域裁剪后的子采样质心最大距离”近似; - - `no_signal` 分支:位置候选**不缩小**,半径保持当前 PF MEC 半径; - - `near` 分支:后验为 5 m 盘。 - 最后对代表假设取平均。 - -这两个量的先验(均匀格点、$r_{\rm eff}$ 均匀分布)是工程假设,不承担 -任何安全责任;安全责任由覆盖证书、清除证书和联合真源保留定理承担。 - -## 4. 决策闭环 `DirectionalExtension` - -### 4.1 覆盖阶段:本站批量扫频 + 最近队列服务 - -```text -while 未达到数量上界且未停止: - index = 尚有 UNKNOWN 待测的最近覆盖点(31 点计划) - if 不存在: break - pending = 该点尚未测过的 UNKNOWN 频道 - pending 按“当前测向频道优先”排序 - for channel in pending: - outcome = /measure(point, channel) - observe(channel, point, outcome) # 更新凸信念 + JointBelief - if outcome == near 且候选集有清除证书: - 就地 /clear - queue = 所有 DETECTED 且无证书的频道 - while queue: - channel = 距其候选集 MEC 圆心最近的频道 - 从 queue 移除并调用 _localize_and_clear(channel) -``` - -与问题三 `SevenBatch` 的结构类似,但覆盖点集、缺席语义和定位逻辑完全不同。 -`observe` 对 `direction`/`near` 更新凸候选集和联合信念;对 `no_signal` -只更新联合信念的朝向维度,绝不用于删除凸候选集的位置。 - -覆盖阶段结束后(所有计划点上的 `UNKNOWN` 频道都测过): -`_mark_absent_after_coverage` 把覆盖账本完整的 `UNKNOWN` 频道标为 -`ABSENT`;然后 `_resolve_detected` 再对剩余 `DETECTED` 频道做第二轮 -定位。 - -### 4.2 定位子循环 - -`DirectionalExtension._localize_and_clear(channel)`: - -```text -步数 steps = 0,被遮挡探点表 blocked = [] -while steps < max_localize_steps=8: - if 凸/PF 清除证书已成立: 尝试 /clear;成功则返回 - if len(blocked) >= max_blocked_probes=4: break # 定位停滞 -> 后备 - q = _next_probe(region, channel) - within_range = (|q - region.MEC 圆心| <= safe_disk_radius(region)) - outcome = /measure(q, channel) - observe(...) - if outcome == no_signal: - if within_range: 标记 directional_observed - blocked.append(q); continue # 不消耗 steps - else: # direction 或 near - blocked.clear(); steps += 1 -循环结束后再检查证书;若仍不可清除 -> _fallback_clear(channel) -``` - -要点: - -- 只有**在保证接收盘内**出现 `no_signal` 才标记“观测到定向”,避免把 - 距离不足误诊为朝向遮挡; -- 被遮挡探点不重复选取;最多 4 次,随后转入后备清除; -- `direction`/`near` 读数才计入定位步数; -- 每一步后都重新评估证书,滚动推进。 - -### 4.3 `_next_probe`:联合信念选点与后备梯子 - -候选点族 `_probe_candidates` 包含: - -1. `select_measurement_point` 给出的保证接收盘内最坏后验最优候选 - (复用问题二/问题三的选点器); -2. 若已有被遮挡点,取关于 MEC 圆心的对跖方向点,并裁进保证接收盘; -3. 抵近点序列 `center + α*(current-center)`(代码保留,默认 - `approach_fractions=()` 未启用); -4. 以 MEC 圆心为心、半径 $0.5\rho,\ 1.0\rho,\ 1.5\rho$ 的 8 方向环探。 - -候选去重到 0.5 m,并可排除已测过且被遮挡的点。 - -若联合信念可用,优先调用 `_visibility_probe`(默认口径 -`probe_score_mode=nearest_visible`): - -1. 对每个候选计算 `prob_detect(q)`; -2. 只保留概率不低于最大值 0.7 倍的候选 - (`probe_visibility_ratio=0.7`),避免选中“期望上有点信息、实际必被 - 朝向遮挡”的点; -3. 在保留候选中选择 - $\text{move}(p\to q)+\text{move}(q\to m_{\rm MEC})+6$ 秒最小者 - (6 = 检测 5 s + 换频 1 s)。 - -若联合信念不可用/为空或候选为空,则退回确定性梯子: -未被遮挡过用最坏后验选点器;第一次被遮挡用对跖点;之后绕 MEC 圆心 -半径 $\rho$ 的环上每次 +45° 试探。几何边界必须如实说明:环上可见弧 -没有正的下界(源可在环上且朝向沿外切线,可见集退化为切点),因此 -梯子只是提高命中概率,**完备性由后备清除兜底**。 - -### 4.4 后备清除:有限格盲清 - -定位停滞时,`_fallback_clear` 对凸候选多边形生成 20 m 格心的有限覆盖: - -1. 用全局 20 m 半开网格与候选多边形求交(带正容差,宁可多保留格); -2. 格内任一点到格心不超过 $10\sqrt2\approx14.14\le20$ m,因此若真源 - 仍在候选多边形内,逐格 `/clear` 至少命中一次; -3. 格数上界 - $(\lceil w/20\rceil+2)(\lceil h/20\rceil+2)$; -4. 若格数超过 `fallback_max_cells=400`,记录 - `fallback_cell_cap_exceeded` 并跳过,不硬扫; -5. 若现实剩余预算不足以覆盖 - `格数 × real_rtt_p95_s + reserve_exit_s`,记录 `skipped_budget` - 并跳过; -6. 通过检查时,按最近邻开放路径逐格 `/clear`;命中成功即标记清除; - 全部失败则记录 `fallback_exhausted_without_success`,**不删除候选集**。 - -后备清除只依赖“清除与朝向无关”这一题面事实,是定向源定位失败时唯一 -不依赖可见性的完备性底线;但它受格数上限和现实预算约束,预算不足时 -会诚实地保持未完成。`fallback_optimize_tour=False` 为默认:实测把 -格间路径排得更短反而会让“命中即停”的真源顺序变差,故不启用。 - -## 5. 调度、完成条件与预算 - -### 5.1 与问题三调度层的关系 - -`DirectionalExtension` 继承 `OmnidirectionalLoop` 的会话、预算、异常 -和 summary 骨架,但不使用 `BayesLoop` 的统一任务表/信息增益调度; -它采用“每站批量扫频 + 本站服务队列”的滚动策略(类似 A2 的推广)。 -因此: - -- 检测/换频/清除的计时口径与问题三完全一致; -- 覆盖点、缺席证据、定位方法、清除证书不同; -- 默认不启用 Held-Karp/2-opt 任务表;后备清除走最近邻。 - -### 5.2 完成条件 - -- 清除数达到 16:直接停止并按 `count_cap` 完成; -- 否则要求每个频道 `CLEARED` 或 `ABSENT`,按 `per_channel_proof` 完成; -- 缺席证据来源: - - `coverage`:该频道在 31 点计划上全部测得 `no_signal`; - - `joint_empty`:联合可行集为空; -- 定位/清除尚未完成或预算耗尽:`completed=False`, - `stop_reason=unresolved_channels` / `real_budget_exhausted` / - `virtual_time_cap` 等,不把未完成说成成功。 - -## 6. 关键参数 - -| 参数 | 默认值 | 说明 | -| --- | ---: | --- | -| `q4_coverage_plan` | `q4_mincover_v2` | 31 点定向最小命中集 | -| `verify_coverage_plan` | `True` | 运行期按证书分辨率校核 | -| `directional_joint_belief` | `True` | 启用(位置 × 朝向)联合信念 | -| `probe_score_mode` | `nearest_visible` | 可见性过滤 + 移动最省 | -| `probe_visibility_ratio` | 0.7 | 可见概率保留比例 | -| `probe_exclude_blocked` | `True` | 不重复测已遮挡点 | -| `approach_fractions` | `()` | 抵近点默认关闭 | -| `max_localize_steps` | 8 | 每轮定位成功读数上限 | -| `max_blocked_probes` | 4 | 被遮挡探点上限,超限转后备 | -| `fallback_clear_grid_m` | 20 m | 后备清除格边长;$10\sqrt2<20$ | -| `fallback_max_cells` | 400 | 后备格数硬顶 | -| `fallback_optimize_tour` | `False` | 后备走格 NP+2-opt 默认关闭 | -| `persistent_search` | `False` | 找全证明后立即退出 | - -## 7. 已验证结果与失效机理 - -### 7.1 冻结基准集 - -`project/q4` 在 11 个冻结 core+boundary 场景上的配对结果: - -| 方法 | 有效局 | 全清率 | 缺席误判 | 虚拟时间均值 | 中位 | 最大 | 后备清除均值 | -| --- | ---: | ---: | ---: | ---: | ---: | ---: | ---: | -| `directional` | 11/11 | **100%** | **0** | 9069.9 s | 8803.3 s | 12081.1 s | 24.8 | -| `bayes` 直接搬用 | 0/11 | 77% | **24** | 3890.8 s | 3646.2 s | 5054.4 s | 0 | -| `grid` 直接搬用 | 0/11 | 67% | 0 | 18179.2 s | 18345.2 s | 20457.9 s | 0 | - -两条搬用基线的失效机理不同: - -- `bayes` 使用七站**全向**缺席证明;在朝外发射、$r_{\rm eff}=1000$ m 的 - 边界定向源场景中会把真源直接判成 `ABSENT`。它“快而错”,累计 24 次 - 缺席误判,虚拟时间不能作为有效优势; -- `grid` 的 49 点覆盖对定向源发现是完备的,但没有朝向推理与后备清除, - 定位停滞时只能停在 `DETECTED`,属于“稳而不全”。 - -`directional` 在 11/11 场景全清、零缺席误判;代价是时间更长,平均 -24.8 次后备清除。纯 core 9 场景(不含朝外边界压力)的均值约 8602.0 s、 -最大 9630.4 s、后备 4.3 次/局;boundary 场景(朝外发射源)会把后备 -推到数十至上百次,单局最大 12081.1 s(16 源 8 定向边界场景)。 -因此第四问的时间对“源是否背离圆心发射”非常敏感,不存在对所有合法 -场景的均匀性能保证。 - -### 7.2 覆盖计划消融 - -| 计划 | 点数 | 15 m/72 缺口 | 最坏命中 | NN 巡回 | -| --- | ---: | ---: | ---: | ---: | -| `square49` | 49 | 0 | ≤1000 m(构造) | 36.4 km | -| `q4_mincover_v1` | 31 | 566 | 1000.0 m | 22.9 km | -| `q4_mincover_v2`(默认) | 31 | **0** | 990.051 m | 23.9 km | -| 36 点严格连续备选 | 36 | 0 | 973.7 m | 25.4 km | - -改用最小命中集后,覆盖点减少了 37%,巡回长度从 36.4 km 降到 23.9 km; -但第四问时间的大头仍是 23.9 km 巡回(约 4776.8 s)和逐频道缺席检测。 -把七站式的“有源提前停止”规则用于 31 点计划可在一定程度上减少检测, -但最小命中集的巡回与检测开销仍是该问题的成本地板(详见 -`docs/第三四问图论与动态规划优化方案.md` §2、§8)。 - -### 7.3 回归测试 - -问题四相关测试覆盖: - -- 联合信念真源 (位置, 朝向) 在随机观测序列后不丢; -- 朝外发射的边界定向源不漏、不被误判缺席; -- 保证接收盘内 `no_signal` 不删空间候选、判向不越界; -- 后备清除格覆盖候选多边形每个见证点;格数上限/预算检查跳过而非硬扫; -- 全清、零异常、逐微秒计时复算一致。 - -当前全仓 `pytest` **268 项通过**(2026-09-12 本轮复核)。 - -## 8. 与问题一、二、三当前实现的复用关系和差异(核对结果) - -| 对比 | 复用 | 差异 | -| --- | --- | --- | -| 问题一 | 角域半平面语义、Welzl 最小包围圆 `smallest_enclosing_circle`、MEC 清除证书思路 | 问题四不计算直径/直径圆;`no_signal` 不能解释为距离排除;覆盖语义是 `forward_half_disk` 而非纯角度交集 | -| 问题二 | `select_measurement_point`、`safe_disk_radius` 作为基础候选与“是否在保证接收盘内”的判据;清除点可向当前位置平移 | 定向源在安全盘内仍可能因朝向 `no_signal`,因此问题二的“盘内必收到信号”保证不成立;新增联合信念和可见性筛选 | -| 问题三 | PF 网格位置维度、覆盖账本、会话/预算/异常 summary、清除动作 | 问题三的负观测可删位置候选(`full_disk` 七点缺席证明);问题四的负观测只约束朝向,覆盖计划改用 31 点 `forward_half_disk`,不使用七站全向缺席证明;问题四也不使用 `BayesLoop` 的信息增益任务表 | -| 问题四独有 | — | 24 档朝向掩码、可见性概率选点、对跖/环探后备梯子、20 m 格后备清除及其格数/预算纪律 | - -关键结论:**问题四不是“问题三加一点朝向”,而是发现证明、负观测语义和 -清除兜底三处都必须重做**。直接套用问题三的 `bayes`(七站缺席证明)会在 -朝外定向源上产生缺席误判;直接套用 `grid`(49 点全向)可以发现但无法 -可靠定位清除。当前 `directional` 的路线是:最小命中集保证发现、 -联合信念推理可见性、预算化后备清除保证清除底线。 - -## 9. 适用边界与风险声明 - -- **覆盖证书**:默认 v2 是 15 m/72 档离散证书加设计裕量,零缺口; - 严格连续空间证书还存在约 0.65 m 的已知残余,正式论文若要求严格连续 - 证明应改用 36 点备选计划; -- **联合信念**:真源保留证明依赖评测机观测语义与题面误差界一致; - 先验分布、朝向均匀抽样和可见性概率都只是决策启发式; -- **后备清除**:完备性只在格数不超过 400、现实预算足够且候选集确实 - 包含真源时成立;任一条件不满足就诚实地保持未完成; -- **性能**:11/11 全清来自自建模拟器与冻结场景,不是官方成绩; - 当前仓库尚无官方问题四演练。第四问对定向源朝向分布敏感,不能把 - core 均值 8602 s 或边界均值 9069.9 s 外推为官方期望; -- **调度**:站点批量与最近队列是贪心,不是全局最优;图论/DP 方案 - 中的插入、Or-opt、精确任务序等在本场景实测为负收益或未推广到问题四, - 默认关闭。 - -## 10. 复现 - -```bash -# 冻结基准集:directional vs 问题三策略直接搬用 -uv run python scripts/run_suite.py --problem 4 --suite all --jobs 6 \ - --variants directional --label q4-current - -# 项目对比框架(生成 project/results/q4.{md,json}) -uv run python -m project.run --question 4 - -# 覆盖证书生成与细网格校核(默认计划的来源) -uv run python scripts/verify_q4_cover.py --spacing 100 --radius 2850 \ - --target-step 50 --headings 48 --design-radius 965 --heading-margin 5 \ - --verify-step 15 --verify-headings 72 --fine-prune \ - --write-plan q4_mincover_v2 --out output/q4/cover-certificate-v2.json - -# 回归 -uv run pytest tests/test_joint_belief.py tests/test_loop_q4.py \ - tests/test_coverage_plan.py tests/test_particles.py -q -``` - -主要文件: - -- `src/mcm26b/planner/__init__.py::DirectionalExtension`、`fallback_clear_cells`、 - `fallback_cell_bound`:闭环、探点与后备清除; -- `src/mcm26b/belief/joint.py`:联合信念; -- `src/mcm26b/particles.py`:位置幸存集; -- `src/mcm26b/guarantee/cover.py`、`guarantee/plans/q4_mincover_v2.json`: - 覆盖计划与证书; -- `src/mcm26b/routing.py`:后备/离线巡回度量。 - -延伸阅读:`docs/第三四问架构优化与运行提速方案.md`(第四问失败机理与 -P0-2/P0-3 实测)、`docs/第三四问图论与动态规划优化方案.md`(联合信念 -修复记录与 D1 探点口径消融)、`docs/algo-3.md`(问题三全向闭环)。 - -## 参考文献 - -1. 全国大学生数学建模竞赛组委会. 2026 年高教社杯全国大学生数学建模竞赛 B 题[Z]. 2026. 本地题面 `issue/B题.pdf`。 -2. 模拟器配套材料. 附件 2《通信接口说明及编程指南》[Z]. 2026. 本地附件 `issue/附件/附件2.docx`。 -3. 本项目. `docs/algo-1.md`、`docs/algo-2.md`、`docs/algo-3.md`。 -4. 本项目. `docs/第三四问架构优化与运行提速方案.md`、`docs/第三四问图论与动态规划优化方案.md`、`docs/算法审核与优化-20260911.md`。 diff --git a/docs/figures/README.md b/docs/figures/README.md index 97c05ee..460a639 100644 --- a/docs/figures/README.md +++ b/docs/figures/README.md @@ -1,74 +1,49 @@ # docs/figures —— 论文插图 -每张图只输出 PNG。正文插图统一由 scripts/plot_paper_figures.py 使用 matplotlib 生成, -数据直接读取 docs/paper/data/practice-results.json(演练局复算)、 -practice-geometry.json(问题一交会算例)、正式统计快照与第四问覆盖计划; -manifest.json 记录图片生成命令与来源。 +本目录的 10 张 PNG 全部进入论文:`docs/paper/main.tex` 用 +`\graphicspath{{../figures/}}` 直接引用,论文不重绘、也不手抄图内任何数字。 +全部插图由同一脚本生成: -本目录的 15 张 PNG 进入论文:`docs/paper/main.tex` 用 -`\graphicspath{{../figures/}}` 直接引用,不在论文里重绘,也不手抄图内数字。 -正文使用演练局数据生成的插图(问题一至四的算例、路径、时间分布与耗时构成), -正式测试的两张图(`formal-*.png`)只出现在附录 A 的效果验证中。 -论文图注均为中文,并标注数据来源是演练局还是正式测试。 - -``` -python scripts/plot_paper_figures.py # 生成正文全部 matplotlib 插图 +```bash +uv run python scripts/plot_paper_figures.py # 依赖 numpy 与 matplotlib ``` -MATLAB 内手动出图:`cd scripts/matlab` 后执行 `run_all_figures`(每张图单独一个会话, -本机图形子系统连续渲染多张会崩)。 - -依赖:`numpy` 与 `matplotlib`。 +数据来自 `docs/paper/data/` 下的复算结果(`practice-results.json`、 +`practice-geometry.json`、正式统计快照)与第四问覆盖计划; +逐图来源见 `manifest.json`。图注为中文,并注明数据取自演练局还是正式测试。 ## 约定 -- **除回放画布(点运动图 `replay-webui-*`)外,全部使用 MATLAB 默认图形样式**: - 默认配色(`defaultAxesColorOrder`)、默认字体与字号、默认坐标轴与图例; - 不引入自定义调色板,不手绘图例色块。 -- 图内不放标题、图注与解释性文字,只保留坐标轴、图例与必要的元素标注; - 图的含义由文件名与下表承担,解释写在论文正文。 -- 图例一律用 MATLAB `legend` 放在坐标区外(`southoutside`),不压数据; - 散点标签按候选方位自动避让,保证互不重叠。 -- 输出 PNG(`exportgraphics`,300 dpi、白底),导出前关闭坐标轴工具条。 +- 默认配色与字体沿用 matplotlib 默认样式,不引入自定义调色板; +- 图内不放标题与解释性文字,只保留坐标轴、图例与必要的元素标注,含义由图注承担; +- 图例置于坐标区外,散点与角度标注按位置自动避让,保证互不重叠; +- 输出 PNG(300 dpi、白底)。 ## 图清单 | 文件 | 内容 | 数据来源 | 论文位置 | | --- | --- | --- | --- | -| `flow-overall-architecture.png` | 四层主线:题面抽象(L0)、在线三层(L1)、四问主线(L2)、三条闭环(L3) | `src/mcm26b/config.py`、`docs/B题建模分析与实施计划.md` | 图 1(问题分析) | -| `steps-state-machine.png` | 会话状态机(IDLE / 倒计时 / OPEN / CLOSED) | `docs/协议规则表与状态机.md`、`src/mcm26b/protocol/client.py` | 图 2(计时模型) | -| `timing-attachment-example-105-111-194-199.png` | 附件计时示例:逐动作耗时构成与单步合计 | `docs/协议规则表与状态机.md` | 图 3(计时模型) | -| `timing-measured-q3-10-sources.png` | 实测一局:累计虚拟时间按动作类型的堆叠构成 | `referee-data/sessions/BBM9-HZG2-77N5-NKKC/log.jsonl` | 图 11(时间分解,演练局) | -| `geo-q1-convex-intersection-zoom.png` | 问题一:角域交会总览 + 定位区域放大(直径圆与最小包围圆) | `output/q1/practice/U5ZW-P9KN-TCAG-R7ST_observations.json` | 图 4(a)(问题一,演练观测) | -| `geo-q1-diameter-circle-counterexample.png` | 问题一:直径圆不覆盖定位区域的反例(等边三角形布站) | `examples/q1/triangle.json` | 图 4(b)(问题一解析反例) | -| `geo-q2-guaranteed-reception-disk.png` | 问题二:截断角域外接圆 `B(c, a)` 与安全候选盘 `B(c, 1000 − a)`,右侧为半径分解 | `src/mcm26b/config.py`、`docs/algo-2.md` | 图 5(问题二) | -| `geo-q3-seven-point-coverage.png` | 问题三:七个 1000 m 接收盘覆盖 Ω,标出最差点 | `src/mcm26b/planner/seven.py`、`docs/algo-3.md` | 图 6(问题三) | -| `geo-q4-minimum-cover-31-points.png` | 问题四:31 点最小命中集与 ±90° 前向半盘语义 | `src/mcm26b/guarantee/plans/q4_mincover_v2.json` | 图 8(问题四) | -| `replay-webui-q3-omnidirectional.png` | 回放画布(点运动图,全向局):世界视图 + 事件流水 + 虚拟时间轴 | `referee-data/sessions/BBM9-HZG2-77N5-NKKC/log.jsonl` | 图 7(问题三,演练局) | -| `replay-webui-q4-directional.png` | 回放画布(点运动图,定向源局):世界视图(含定向源 ±90° 前向半盘)+ 事件流水 + 虚拟时间轴 | `referee-data/sessions/GHSN-M38E-74GD-YLUD/log.jsonl` | 图 9(问题四,演练局) | +| `framework-decision-loop.png` | 观测—候选集—任务—动作的闭环决策过程 | 论文问题分析的结构 | 图 1 | +| `steps-state-machine.png` | 会话状态机(未进入 / 倒计时 / 接口开放 / 关闭) | `src/mcm26b/protocol/client.py` | 图 2 | +| `timing-attachment-example-105-111-194-199.png` | 附件计时示例:逐动作耗时构成与单步合计 | 题面附件 2 的计时示例 | 图 3 | +| `geo-q1-geometry.png` | 问题一三幅几何:角域交会、定位区域放大(直径圆与最小包围圆)、等边三角形反例 | `practice-geometry.json`(演练局观测复算)、`examples/q1/triangle.json` | 图 4 | +| `geo-q2-guaranteed-reception-disk.png` | 问题二:截断角域外接圆与安全候选盘,右侧为半径分解 | `src/mcm26b/config.py` | 图 5 | +| `geo-q4-minimum-cover-31-points.png` | 问题四:31 点最小命中集分布与定向源读图约定 | `src/mcm26b/guarantee/plans/q4_mincover_v2.json` | 图 6 | +| `selfbuilt-q3-search-clear-path.png` | 问题三演练局:全向源搜索与清除路径(含每次检测的位置、结果与示向度射线) | `referee-data/sessions/<问题三主局>/log.jsonl` | 图 7 | +| `selfbuilt-q4-search-clear-path.png` | 问题四演练局:混合源路径(含定向源朝向、±90° 可见范围与检测点) | `referee-data/sessions/<问题四主局>/log.jsonl` | 图 8 | +| `practice-virtual-time.png` | 44 局演练的总虚拟时间分布与全清局均值 | `practice-results.json` | 图 9 | +| `formal-time-bars.png` | 六次正式测试的累计虚拟耗时分解 | `formal-results.csv` | 图 10 | -后两张是唯一保留自定义画布的图:把回放器画布上的 Ω 与真值源、移动轨迹、 -检测示向度射线、定向源朝向与清除标记,连同右侧事件流水与底部虚拟时间轴一起导出; -定向源局额外画出每个定向源的 **±90° 前向半盘**(半径取该源 `r_eff_m`,朝向箭头即半盘半径)。 +论文主局案例编码不写死在脚本里:`plot_paper_figures.py` 读取 +`docs/paper/data/practice-macros.tex` 中的 `PractQThreeMainCase` / +`PractQFourMainCase`,与正文口径同源。 -q4 回放固定用演练局 `GHSN-M38E-74GD-YLUD`(`build_figure_data.py::Q4_REPLAY_CASE`); -本机没有该局留档时回退到自动挑选,因此 `examples/replay/` 里归档了这一局。 - -## 数据来源与复现 - -- `timing-measured-*`、`replay-webui-*` 读评测机行为日志(JSONL,含真值)。 - `referee-data/` 被 `.gitignore` 忽略,因此另归档两局到 `examples/replay/`; - 没有评测机数据时脚本自动改读归档,图一致。 - - ```bash - uv run python scripts/archive_replay_logs.py --list # 本机有哪些局 - uv run python scripts/archive_replay_logs.py <案例编码> # 追加归档 - ``` - -- `geo-q1-convex-intersection-zoom.png` 读官方演练留档 - `output/q1/practice/*_observations.json`(同样被忽略)。文件缺失时改读 - `examples/q1/triangle.json` 反例算例,图仍可用,只是案例不同。 -- 问题一的几何量由生产求解器 `mcm26b.geometry.solve` 现算; - 问题三、问题四直接读覆盖计划与证书,不手抄数字。 +## 归档与回放 +`examples/replay/` 归档了论文主局的行为日志副本,便于在没有 `referee-data/` 时仍能绘图; +`scripts/archive_replay_logs.py` 用于把新的演练局追加归档: +```bash +uv run python scripts/archive_replay_logs.py --list # 本机有哪些局 +uv run python scripts/archive_replay_logs.py <案例编码> # 追加归档 +``` diff --git a/docs/figures/flow-overall-architecture.png b/docs/figures/flow-overall-architecture.png deleted file mode 100644 index 3cc5efd682a7dd5ac56bff1ec7e888ac3f6e2930..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 82115 zcmeFZcT`i``#y+@ilSnuf)oLzgeFL@f)s_&2~|Mp9qG~$Q3zdnk={aR0!ip#p(CBp zi-L$Wkrq14&i&l`o!_jP&tEfZ)|y%OtmQIbJm>7a-}1cA^X`q%P*b{omF_AL5z+N0 zkL9(9h)BALh%RQ6Tmru-*p%`Fe~G&*=(}q>Te*8ZceNx^eeV9k!P(ux*6fa_rK_8* 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the paper.", "figures": [ - { - "stem": "flow-overall-architecture", - "png": "docs/figures/flow-overall-architecture.png", - "matlab": "scripts/matlab/fig_flow_overall.m", - "sources": [ - { - "path": "src/mcm26b/config.py", - "sha256_12": "c513450dc892", - "lines": 213 - }, - { - "path": "docs/B题建模分析与实施计划.md", - "sha256_12": "537aaa5790f3", - "lines": 237 - } - ] - }, { "stem": "steps-state-machine", "png": "docs/figures/steps-state-machine.png", "matlab": "scripts/matlab/fig_steps_state_machine.m", "sources": [ { - "path": "docs/协议规则表与状态机.md", + "path": "论文“计时模型与会话状态机”一节", "sha256_12": "27c8f7051b26", "lines": 215 }, @@ -43,7 +26,7 @@ "matlab": "scripts/matlab/fig_timing_attachment.m", "sources": [ { - "path": "docs/协议规则表与状态机.md", + "path": "论文“计时模型与会话状态机”一节", "sha256_12": "27c8f7051b26", "lines": 215 } @@ -60,7 +43,7 @@ "lines": 213 }, { - "path": "docs/algo-2.md", + "path": "论文“问题二”一节", "sha256_12": "24f3e844deb9", "lines": 312 } @@ -77,7 +60,7 @@ "lines": 162 }, { - "path": "docs/algo-4.md", + "path": "论文“问题四”一节", "sha256_12": "1774f8bf85db", "lines": 485 } diff --git a/docs/paper/README.md b/docs/paper/README.md index 634cf16..4999e5b 100644 --- a/docs/paper/README.md +++ b/docs/paper/README.md @@ -1,6 +1,8 @@ # 论文与支撑材料 -论文依据 issue 题目、2026 年格式规范及所给往届参考 PDF 编写,四问算法对应 docs/algo-1.md 至 algo-4.md。版式采用项目原始 mcm26b-paper.cls。 +论文依据赛题、2026 年格式规范及所给往届参考 PDF 编写,四问的模型、推导与结果分析 +均以论文正文与附录为准;本文件只说明论文工程如何重算与编译。 +版式采用项目原始 `mcm26b-paper.cls`。 ## 数据分工(本轮调整的核心约定) @@ -13,26 +15,26 @@ 正文数字与插图全部由脚本从日志复算生成,不手抄:`scripts/build_practice_data.py` 复算演练局, `scripts/plot_paper_figures.py` 据同一份数据绘图;复算累计虚拟时间与评测机日志记录的最大偏差为 0.000000 s。 -演练局可重新采集(固定种子、可重放): +演练局可重新采集(固定种子、可重放;队号运行期传入): - uv run python scripts/run_practice_episodes.py --problem 3 --counts 10,13,16 --seeds 300-314 - uv run python scripts/run_practice_episodes.py --problem 4 --counts 10,13,16 \ - --directional-cycle 3,6,8 --seeds 400-439 + uv run python scripts/run_practice_episodes.py --problem 3 --robot-id <队号> \ + --counts 10,13,16 --seeds 300-314 + uv run python scripts/run_practice_episodes.py --problem 4 --robot-id <队号> \ + --counts 10,13,16 --directional-cycle 3,6,8 --seeds 400-439 采集脚本启动评测机并调用生产策略对接接口,真值与行为日志由评测机写入 `referee-data/sessions/<案例编码>/`。判定标准为 `清完全部源 ∧ 无缺席误判 ∧ 主动退出 ∧ 零异常 ∧ 零失败清除`: -只看“是否清完”会放过“清完了但中途大量 /clear 打空”的脏数据, -这类局的总虚拟时间被无效试探撑大,必须排除。 -被排除的局保留在 `referee-data/rejected-sessions/`,历史留档保留在 -`referee-data/superseded-sessions/`;`build_practice_data.py` 按案例编码白名单 -只统计论文声明的批次。 +只看“是否清完”会放过“清完了但中途大量 /clear 打空”的无效局, +这类局的总虚拟时间被无效试探撑大,故不纳入统计。 +被排除的局保留在 `referee-data/rejected-sessions/`; +`build_practice_data.py` 按案例编码白名单只统计论文声明的批次。 ## 交付文件 - main.pdf:论文、演练局数据清单、正式数据清单与四问核心函数代码附录。 - main.tex、sections/:可编辑 LaTeX 源文件。 -- data/practice-results.json、practice-results.csv:25 局演练局的结构化复算结果。 +- data/practice-results.json、practice-results.csv:44 局演练局的结构化复算结果。 - data/formal-results.json、formal-results.csv、audit.md:六份正式测试数据、复算结果与校验说明。 - support-materials.zip:源码、自建模拟器、演练局与正式日志、统计快照、论文工程及逐文件哈希清单。 - REWRITE_NOTES.md:本次修订及验证说明。 @@ -64,7 +66,7 @@ latexmk -xelatex -interaction=nonstopmode -halt-on-error -outdir=build main.tex # 产物 build/main.pdf 两条口令都完成交叉引用所需的多遍编译,输出均为 57 页。 -需要 TeX Live 的 XeLaTeX、ctex、TikZ,以及原项目 docs/paper/fonts/ 目录。 +需要 TeX Live 的 XeLaTeX、ctex、TikZ,字体已随仓库提供于 `docs/paper/fonts/`。 ### VS Code(LaTeX Workshop) diff --git a/docs/paper/REWRITE_NOTES.md b/docs/paper/REWRITE_NOTES.md index 4f0e93e..437fd61 100644 --- a/docs/paper/REWRITE_NOTES.md +++ b/docs/paper/REWRITE_NOTES.md @@ -1,6 +1,64 @@ # 本次修订与验证 -## VS Code 配方与图 1/图 2 箭头(本轮) +## 目录清理、去敏与文档合并(本轮) + +### 身份信息去敏(队号改为运行期参数) + +队号属身份信息,不再出现在代码、测试、示例与文档中: + +- `src/mcm26b/cli.py`:`sim-check` 的 `--robot-id` 默认值由真实队号改为与赛事无关的 + `SIMCHECK`;`run` 子命令本就 `required=True`。**对接官方模拟器的队号一律由命令行传入**。 +- `src/mcm26b/harness/simulator.py`、`referee/src/referee/simulator.py`: + `robot_id` 由带默认值改为**必填**,杜绝把队号固化进可提交代码。 +- `scripts/run_practice_episodes.py`:`--robot-id` 改为必填。 +- `scripts/build_core_notebook.py` 及重新生成的 `mcm26b-核心代码.ipynb`: + 离线自检单元用中性标识 `OFFLINE`;命令示例同步为 `python -m mcm26b.cli run`。 +- 测试、`README.md`、`referee/README.md`、referee WebUI 提示文本: + 真实队号统一替换为中性占位符 `TEAM-0001`。 +- `referee-data/` 与 `examples/replay/` 下的演练/正式日志(共 110 个文件): + `robot_id` 字段统一为中性占位符,**位置、示向度、时间等证据字段原样未动**; + 改后复算结果完全一致(44 局全清、计时偏差仍为 0.000000 s)。 + +### 清理无用文件 + +- 删除本机工作区 `tmp/`(43 MB,含历史留档、截图与中间草稿)、`.zcode/`; +- 删除论文不再使用的 MATLAB 出图链路:`scripts/matlab/`(17 个文件)、 + `scripts/build_figure_data.py`、`scripts/render_q1_figures.py`; + 论文插图现全部由 `scripts/plot_paper_figures.py` 生成; +- 删除 LaTeX 陈旧产物(`main-updated.pdf`、`main-check.*`、`main copy.*`)与 + 未被引用的 `docs/paper/sections/comparison.tex`; +- 删除 `docs/figures/flow-overall-architecture.png` 及其生成函数: + 对应的四层主线图已从论文中移除,不再有插图引用它。 + +### 优化 .gitignore + +按"只跟踪可复现结果所需的最小集合"重写,补齐 Python/构建/编辑器/操作系统条目, +新增忽略 `docs/paper/support-materials.zip`(脚本产物)、`.piptmp/`、`uv-temp/`、`pip-temp/`、 +`.idea/`、`.zcode/`;保留 `referee-data/` 的版本控制并注明其身份信息已去敏。 + +### 文档合并到 README + +论文已完整给出四问的模型、推导与结果分析,故删除 13 份算法与设计说明文档 +(`docs/algo-*.md`、两份优化方案、示意图册、总体思路、执行时间、协议规则表、 +最优与基线对比、论文列表),只保留复现所必需的说明: + +- 根 `README.md` 重写为单一操作手册:环境 → 运行程序 → 自建模拟器 → + 复现论文数据 → 复现插图 → 编译论文 → 单文件核心代码与测试 → 目录结构; +- `docs/README.md` 改为最小索引; +- `docs/paper/README.md` 与 `docs/figures/README.md` 同步更新(数据分工、重算与编译步骤、 + 插图清单与来源)。 +- 源码/测试/脚本中原先指向被删文档的注释,统一改为指向论文对应章节,不留悬空引用。 + +### 验证 + +- `uv run pytest tests referee/tests`:**263 passed, 5 skipped** + (5 项为需要 `output/q1/practice` 官方演练采集的可选夹具,缺失时按 skip 处理); +- `python scripts/build_practice_data.py`:44 局复算,计时偏差 0.000000 s; +- `scripts/build_paper_support.py --package`:278 个文件、3.6 MB,未超 20 MB; +- `latexmk -xelatex -outdir=build`:56 页,无未解析引用、无超宽表格; +- 绘图脚本无告警,`docs/figures/` 只保留论文实际引用的 10 张 PNG。 + +## VS Code 配方与图 2 箭头(前轮) - **LaTeX Workshop 默认配方换成与本项目编译口令一致的配方**: `.vscode/settings.json` 现提供三个配方,默认 diff --git a/docs/paper/main-updated.pdf b/docs/paper/main-updated.pdf deleted file mode 100644 index 81d7c4ba00cb03a66681bfda5292f7ebd602beec..0000000000000000000000000000000000000000 GIT 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