43 lines
1.6 KiB
Python
43 lines
1.6 KiB
Python
"""问题二最优实现：保证接收盘内的最坏后验半径最小化选点（生产实现）。
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复用 ``mcm26b.planner.select_measurement_point``：
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1. 在"保证接收盘" B(mec_center, 1000-ρ) 内环形采样候选点；
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2. 对每个候选，用"目标边界点 × 读数区间端点（+near 分支）"估计
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最坏后验最小包围半径，并以移动时间同分决胜；
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3. 选定后按 1/4 间距加密复核，返回位置、后验半径与理由。
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采样是启发式（不是连续问题全局最优证明），但保证接收是严格的。
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"""
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from __future__ import annotations
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from mcm26b.config import ProblemConfig
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from mcm26b.planner import safe_disk_radius, select_measurement_point
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from project.common import Method, problem_config
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from project.q2.region import first_bearing_region
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METHOD = Method(
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key="optimal",
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name="保证接收盘内最小最坏后验半径",
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kind="optimal",
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note="生产实现 mcm26b.planner.select_measurement_point",
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)
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def candidate(case: dict, config: ProblemConfig | None = None) -> dict:
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config = config or problem_config()
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region = first_bearing_region(case, config)
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station = (case["station"][0], case["station"][1])
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plan = select_measurement_point(region, station, config)
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return {
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"method": METHOD.key,
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"position": [round(plan.position[0], 4), round(plan.position[1], 4)],
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"worst_posterior_radius_m": plan.worst_posterior_radius_m,
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"move_cost_s": plan.move_cost_s,
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"safe_disk_radius_m": safe_disk_radius(region, config),
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"initial_radius_m": region.mec()[1],
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"reason": plan.reason,
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}
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