baseline

2026-09-12 16:58:25 +08:00
parent 1fa2264a17
commit 892451dca9
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+"""问题一算例：官方示例目录 ``examples/q1`` + 随机交会算例。"""
+
+from __future__ import annotations
+
+import json
+import math
+import random
+
+from project.common import ROOT
+
+EXAMPLE_DIR = ROOT / "examples" / "q1"
+EXAMPLE_IDS = ("normal", "triangle", "poor", "segment", "empty")
+
+
+def load_examples() -> list[dict]:
+    """读取固定算例；缺文件时跳过，保证离线可跑。"""
+    cases = []
+    for key in EXAMPLE_IDS:
+        path = EXAMPLE_DIR / f"{key}.json"
+        if not path.exists():
+            continue
+        raw = json.loads(path.read_text(encoding="utf-8-sig"))
+        cases.append({
+            "id": raw.get("id", key),
+            "name": raw.get("name", key),
+            "source": "examples/q1",
+            "measurements": [
+                {"x": float(row["x"]), "y": float(row["y"]),
+                 "bearing_deg": float(row["bearing_deg"]),
+                 "half_angle_deg": float(row.get("half_angle_deg", 1.0))}
+                for row in raw["measurements"]
+            ],
+        })
+    return cases
+
+
+def random_case(seed: int) -> dict:
+    """随机三点/四点交会：目标在 Ω 内，测站分布在不同象限。
+
+    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；
+    生成后由 ``compare`` 再用最优实现复核状态。
+    """
+    rng = random.Random(seed)
+    target = (rng.uniform(-900, 900), rng.uniform(-900, 900))
+    count = rng.choice((3, 3, 4, 5))
+    stations = []
+    base_angle = rng.uniform(0, 360)
+    for index in range(count):
+        angle = base_angle + 360 * index / count + rng.uniform(-25, 25)
+        radius = rng.uniform(500, 1100)
+        stations.append((target[0] + radius * math.cos(math.radians(angle)),
+                         target[1] + radius * math.sin(math.radians(angle))))
+    measurements = []
+    for (sx, sy) in stations:
+        true_bearing = math.degrees(math.atan2(target[1] - sy, target[0] - sx)) % 360.0
+        # 观测误差固定在同一地点、落在 ±1° 内；读数保留两位小数
+        error = rng.uniform(-0.9, 0.9)
+        measurements.append({"x": round(sx, 2), "y": round(sy, 2),
+                             "bearing_deg": round((true_bearing + error) % 360.0, 2),
+                             "half_angle_deg": 1.0})
+    return {"id": f"rand-{seed}", "name": "随机交会", "source": "synthetic",
+            "target": [round(target[0], 2), round(target[1], 2)],
+            "measurements": measurements}
+
+
+def random_cases(count: int, base_seed: int = 7000) -> list[dict]:
+    return [random_case(base_seed + index) for index in range(count)]