Kernel rig: inspect cases, the gap between two spheres, their lens where they overlap, none past the clearance

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

tests/kernel-cases/inspect/cov-clearance-gap-between-two-spheres/expected.json

@@ -0,0 +1,46 @@
+{
+ "sources": [],
+ "what": "the gap between two spheres",
+ "source": "analytic",
+ "method": "spheres r 5 on (0,0,0) and (20,0,0): 20 - 5 - 5 = 10 apart, from (5,0,0) to (15,0,0)",
+ "results": [
+  {
+   "command": 2,
+   "pointer": "/overlaps",
+   "value": []
+  },
+  {
+   "command": 2,
+   "pointer": "/near/0/a",
+   "value": "A"
+  },
+  {
+   "command": 2,
+   "pointer": "/near/0/b",
+   "value": "B"
+  },
+  {
+   "command": 2,
+   "pointer": "/near/0/distance_mm",
+   "value": 10.0
+  },
+  {
+   "command": 2,
+   "pointer": "/near/0/from",
+   "value": [
+    5,
+    0,
+    0
+   ]
+  },
+  {
+   "command": 2,
+   "pointer": "/near/0/to",
+   "value": [
+    15,
+    0,
+    0
+   ]
+  }
+ ]
+}

tests/kernel-cases/inspect/cov-clearance-gap-between-two-spheres/recipe.json

@@ -0,0 +1,36 @@
+{
+ "commands": [
+  {
+   "command": "solid.sphere",
+   "params": {
+    "center": [
+     0,
+     0,
+     0
+    ],
+    "radius": 5,
+    "body_name": "A",
+    "operation": "new"
+   }
+  },
+  {
+   "command": "solid.sphere",
+   "params": {
+    "center": [
+     20,
+     0,
+     0
+    ],
+    "radius": 5,
+    "body_name": "B",
+    "operation": "new"
+   }
+  },
+  {
+   "command": "inspect.clearance",
+   "params": {
+    "clearance": 15
+   }
+  }
+ ]
+}

tests/kernel-cases/inspect/cov-clearance-overlapping-spheres/expected.json

@@ -0,0 +1,22 @@
+{
+ "sources": [],
+ "what": "the shared volume of two overlapping spheres",
+ "source": "analytic",
+ "method": "spheres r 5 on (0,0,0) and (8,0,0): the lens pi (4r + d)(2r - d)^2 / 12 = pi 28 4 / 12 = 29.3215, centred on (4,0,0)",
+ "results": [
+  {
+   "command": 2,
+   "pointer": "/overlaps/0/volume_mm3",
+   "value": 29.321531433504735
+  },
+  {
+   "command": 2,
+   "pointer": "/overlaps/0/center",
+   "value": [
+    4,
+    0,
+    0
+   ]
+  }
+ ]
+}

tests/kernel-cases/inspect/cov-clearance-overlapping-spheres/recipe.json

@@ -0,0 +1,34 @@
+{
+ "commands": [
+  {
+   "command": "solid.sphere",
+   "params": {
+    "center": [
+     0,
+     0,
+     0
+    ],
+    "radius": 5,
+    "body_name": "A",
+    "operation": "new"
+   }
+  },
+  {
+   "command": "solid.sphere",
+   "params": {
+    "center": [
+     8,
+     0,
+     0
+    ],
+    "radius": 5,
+    "body_name": "B",
+    "operation": "new"
+   }
+  },
+  {
+   "command": "inspect.clearance",
+   "params": {}
+  }
+ ]
+}

tests/kernel-cases/inspect/cov-clearance-spheres-farther-than-the-clearance/expected.json

@@ -0,0 +1,18 @@
+{
+ "sources": [],
+ "what": "two spheres farther apart than the clearance asked",
+ "source": "analytic",
+ "method": "spheres r 5 on (0,0,0) and (20,0,0) are 10 apart; closer than 5 asked: none",
+ "results": [
+  {
+   "command": 2,
+   "pointer": "/overlaps",
+   "value": []
+  },
+  {
+   "command": 2,
+   "pointer": "/near",
+   "value": []
+  }
+ ]
+}

tests/kernel-cases/inspect/cov-clearance-spheres-farther-than-the-clearance/recipe.json

@@ -0,0 +1,36 @@
+{
+ "commands": [
+  {
+   "command": "solid.sphere",
+   "params": {
+    "center": [
+     0,
+     0,
+     0
+    ],
+    "radius": 5,
+    "body_name": "A",
+    "operation": "new"
+   }
+  },
+  {
+   "command": "solid.sphere",
+   "params": {
+    "center": [
+     20,
+     0,
+     0
+    ],
+    "radius": 5,
+    "body_name": "B",
+    "operation": "new"
+   }
+  },
+  {
+   "command": "inspect.clearance",
+   "params": {
+    "clearance": 5
+   }
+  }
+ ]
+}