68 lines
2.6 KiB
Python
68 lines
2.6 KiB
Python
"""问题一算例：官方示例目录 ``examples/q1`` + 随机交会算例。"""
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from __future__ import annotations
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import json
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import math
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import random
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from project.common import ROOT
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EXAMPLE_DIR = ROOT / "examples" / "q1"
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EXAMPLE_IDS = ("normal", "triangle", "poor", "segment", "empty")
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def load_examples() -> list[dict]:
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"""读取固定算例；缺文件时跳过，保证离线可跑。"""
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cases = []
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for key in EXAMPLE_IDS:
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path = EXAMPLE_DIR / f"{key}.json"
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if not path.exists():
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continue
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raw = json.loads(path.read_text(encoding="utf-8-sig"))
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cases.append({
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"id": raw.get("id", key),
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"name": raw.get("name", key),
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"source": "examples/q1",
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"measurements": [
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{"x": float(row["x"]), "y": float(row["y"]),
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"bearing_deg": float(row["bearing_deg"]),
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"half_angle_deg": float(row.get("half_angle_deg", 1.0))}
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for row in raw["measurements"]
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],
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})
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return cases
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def random_case(seed: int) -> dict:
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"""随机三点/四点交会：目标在 Ω 内，测站分布在不同象限。
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仅生成"区域有界且非退化"的良态算例，避免参考网格因细长区域失效；
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生成后由 ``compare`` 再用最优实现复核状态。
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"""
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rng = random.Random(seed)
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target = (rng.uniform(-900, 900), rng.uniform(-900, 900))
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count = rng.choice((3, 3, 4, 5))
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stations = []
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base_angle = rng.uniform(0, 360)
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for index in range(count):
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angle = base_angle + 360 * index / count + rng.uniform(-25, 25)
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radius = rng.uniform(500, 1100)
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stations.append((target[0] + radius * math.cos(math.radians(angle)),
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target[1] + radius * math.sin(math.radians(angle))))
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measurements = []
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for (sx, sy) in stations:
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true_bearing = math.degrees(math.atan2(target[1] - sy, target[0] - sx)) % 360.0
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# 观测误差固定在同一地点、落在 ±1° 内；读数保留两位小数
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error = rng.uniform(-0.9, 0.9)
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measurements.append({"x": round(sx, 2), "y": round(sy, 2),
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"bearing_deg": round((true_bearing + error) % 360.0, 2),
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"half_angle_deg": 1.0})
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return {"id": f"rand-{seed}", "name": "随机交会", "source": "synthetic",
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"target": [round(target[0], 2), round(target[1], 2)],
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"measurements": measurements}
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def random_cases(count: int, base_seed: int = 7000) -> list[dict]:
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return [random_case(base_seed + index) for index in range(count)]
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