第一问建模完成

2026-09-10 20:46:45 +08:00
parent 86ffc8ee65
commit abf21b2cbf
77 changed files with 3892 additions and 24 deletions
@@ -0,0 +1,67 @@
+{
+  "python": "3.12.14",
+  "timing_method": "median perf_counter; warm local process",
+  "timing_scope": "MEC only; not whole solver speedup or simulator/network performance",
+  "circle_benchmarks": [
+    {
+      "vertices": 4,
+      "reference_ms": 0.021899999410379678,
+      "incremental_ms": 0.028999995265621692,
+      "speedup": 0.7551725167466228,
+      "radius_difference_m": 0.0
+    },
+    {
+      "vertices": 20,
+      "reference_ms": 4.815899999812245,
+      "incremental_ms": 0.055900003644637764,
+      "speedup": 86.15205162467306,
+      "radius_difference_m": 3.552713678800501e-15
+    },
+    {
+      "vertices": 60,
+      "reference_ms": 306.5234000023338,
+      "incremental_ms": 0.09600000339560211,
+      "speedup": 3192.9519704202016,
+      "radius_difference_m": 0.0
+    }
+  ],
+  "practice_sensitivity": [
+    {
+      "additional_half_angle_deg": 0,
+      "solve_ms": 0.09890000364976004,
+      "diameter_m": 23.996723024535473,
+      "mec_radius_m": 12.068583013309823,
+      "diameter_circle_excess_m": 0.604002184966904,
+      "clearance_margin_m": 7.931415120023509
+    },
+    {
+      "additional_half_angle_deg": 0.005,
+      "solve_ms": 0.0962999984039925,
+      "diameter_m": 24.119088149560866,
+      "mec_radius_m": 12.130376957888465,
+      "diameter_circle_excess_m": 0.608486475900504,
+      "clearance_margin_m": 7.869621175444868
+    }
+  ],
+  "q2_first_bearing_certificate": {
+    "source_model": "first_bearing_sector_with_range_upper_bound",
+    "sector_enclosing_circle": {
+      "center": [
+        750.1153914962542,
+        0.0
+      ],
+      "radius_m": 750.1153914962542
+    },
+    "sufficient_candidate_disk": {
+      "center": [
+        750.1153914962542,
+        0.0
+      ],
+      "radius_m": 249.88460850374577
+    },
+    "candidate_nonempty_certified": true,
+    "distance_only": true,
+    "max_range_m": 1500,
+    "guaranteed_range_m": 1000
+  }
+}