第一问建模完成

geometry/__main__.py

@@ -0,0 +1,38 @@
+"""python -m geometry observations.json [-o result.json]"""
+
+import argparse
+import json
+from dataclasses import replace
+from math import isfinite
+from pathlib import Path
+from .localization import Measurement, solve
+
+
+def main():
+    parser = argparse.ArgumentParser(description="B题问题一：角域交、直径与包围圆")
+    parser.add_argument("input", type=Path, help="包含measurements数组的JSON文件")
+    parser.add_argument("-o", "--output", type=Path)
+    parser.add_argument("--rounding-margin-deg", type=float, default=0,
+                        help="额外误差半角，默认0；可显式设0.005进行舍入敏感性分析")
+    args = parser.parse_args()
+    try:
+        source = json.loads(args.input.read_text(encoding="utf-8-sig"))
+        measurements = [Measurement(**row) for row in source["measurements"]]
+        if not isfinite(args.rounding_margin_deg) or args.rounding_margin_deg < 0:
+            raise ValueError("额外误差半角必须为有限非负数")
+        measurements = [replace(m, half_angle_deg=m.half_angle_deg+args.rounding_margin_deg)
+                        for m in measurements]
+        result = solve(measurements)
+        result["error_policy"] = {"additional_half_angle_deg": args.rounding_margin_deg,
+                                  "effective_half_angles_deg": [m.half_angle_deg for m in measurements]}
+    except (ValueError, TypeError, KeyError, OSError) as exc:
+        parser.error(str(exc))
+    text = json.dumps(result, ensure_ascii=False, indent=2, allow_nan=False)
+    if args.output:
+        args.output.parent.mkdir(parents=True, exist_ok=True)
+        args.output.write_text(text + "\n", encoding="utf-8")
+    print(text)
+
+
+if __name__ == "__main__":
+    main()