第一问建模完成

examples/q1/empty.json

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+{
+  "id": "empty",
+  "name": "不相容观测",
+  "source": "synthetic",
+  "target": null,
+  "measurements": [
+    {
+      "x": -100,
+      "y": 0,
+      "bearing_deg": 180,
+      "half_angle_deg": 1.0
+    },
+    {
+      "x": 100,
+      "y": 0,
+      "bearing_deg": 0,
+      "half_angle_deg": 1.0
+    }
+  ]
+}

examples/q1/normal.json

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+{
+  "id": "normal",
+  "name": "三点交会",
+  "source": "synthetic",
+  "target": [
+    80,
+    90
+  ],
+  "measurements": [
+    {
+      "x": -600,
+      "y": -250,
+      "bearing_deg": 27.21505117707799,
+      "half_angle_deg": 1.0
+    },
+    {
+      "x": 650,
+      "y": -100,
+      "bearing_deg": 161.015051177078,
+      "half_angle_deg": 1.0
+    },
+    {
+      "x": 100,
+      "y": 700,
+      "bearing_deg": 268.4721225527146,
+      "half_angle_deg": 1.0
+    }
+  ]
+}

examples/q1/poor.json

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+{
+  "id": "poor",
+  "name": "近共线检测点",
+  "source": "synthetic",
+  "target": [
+    900,
+    50
+  ],
+  "measurements": [
+    {
+      "x": 0,
+      "y": 0,
+      "bearing_deg": 3.1798301198642345,
+      "half_angle_deg": 1.0
+    },
+    {
+      "x": 100,
+      "y": 0,
+      "bearing_deg": 3.576334374997351,
+      "half_angle_deg": 1.0
+    },
+    {
+      "x": 200,
+      "y": 0,
+      "bearing_deg": 4.085616779974877,
+      "half_angle_deg": 1.0
+    }
+  ]
+}

examples/q1/segment.json

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+{
+  "id": "segment",
+  "name": "零误差退化线段",
+  "source": "synthetic",
+  "target": [
+    40,
+    0
+  ],
+  "measurements": [
+    {
+      "x": 0,
+      "y": 0,
+      "bearing_deg": 0,
+      "half_angle_deg": 0
+    },
+    {
+      "x": 100,
+      "y": 0,
+      "bearing_deg": 180,
+      "half_angle_deg": 0
+    }
+  ]
+}

examples/q1/triangle.json

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+{
+  "id": "triangle",
+  "name": "直径圆反例",
+  "source": "synthetic",
+  "target": [
+    20,
+    11.547005383792515
+  ],
+  "measurements": [
+    {
+      "x": -1000,
+      "y": 0,
+      "bearing_deg": 1,
+      "half_angle_deg": 1.0
+    },
+    {
+      "x": 540,
+      "y": -866.0254037844386,
+      "bearing_deg": 121,
+      "half_angle_deg": 1.0
+    },
+    {
+      "x": 520,
+      "y": 900.6664199358162,
+      "bearing_deg": 241,
+      "half_angle_deg": 1.0
+    }
+  ]
+}