id
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value | question
stringclasses 1
value | sim_config
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m3x6_hex_socket_head
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Model an ISO 4762 M3×6 hex socket head cap screw.
Requirements:
- Units: millimeters.
- Axis: Z.
- Head underside seated on the XY plane at z=0.
- Entire geometry must lie in z<=0.
- Head: diameter ≈ 5.5 mm; height ≈ 3.0 mm.
- Hex socket: across flats = 2.5 mm; socket depth ≈ 1.6 mm.
- Thread: ISO coarse, pitch = 0.5 mm (approximate with a cylinder at major diameter if threading is unavailable).
- Under‑head threaded length: 6.0 mm.
- Major diameter ≈ 3.0 mm.
- Output: Build123D code that defines `result` as the final solid.
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{
"expected_length_mm": 6,
"expected_major_diameter_mm": 3,
"head_plane_target_mm": 0,
"pitch_mm": 0.5,
"sim_engine": "blender_gltf",
"sim_script_py": "import bpy\nimport sys, json, math, os\nfrom mathutils import Vector\n\n\ndef parse_args(argv):\n try:\n sep = argv.index('--')\n args = argv[sep+1:]\n except ValueError:\n args = []\n path = args[0] if len(args)>0 else ''\n out_json = args[1] if len(args)>1 else 'metrics.json'\n extras = args[2:]\n save_blend = None\n keep_open = False\n screenshot = None\n slowmo = False\n slowmo_seconds = 10\n for a in extras:\n if a.startswith('--save-blend='):\n save_blend = a.split('=',1)[1]\n elif a == '--keep-open':\n keep_open = True\n elif a.startswith('--screenshot='):\n screenshot = a.split('=',1)[1]\n elif a == '--slowmo':\n slowmo = True\n elif a.startswith('--slowmo-seconds='):\n try:\n slowmo_seconds = max(1, int(a.split('=',1)[1]))\n except Exception:\n pass\n return path, out_json, save_blend, keep_open, screenshot, slowmo, slowmo_seconds\n\n\ndef import_gltf(path):\n if not os.path.exists(path):\n raise FileNotFoundError(f'glTF not found: {path}')\n bpy.ops.preferences.addon_enable(module='io_scene_gltf2')\n bpy.ops.import_scene.gltf(filepath=path)\n for o in bpy.context.scene.objects:\n if o.type=='MESH':\n return o\n raise RuntimeError('No mesh after import')\n\n\ndef world_verts(obj):\n deps = bpy.context.evaluated_depsgraph_get()\n eo = obj.evaluated_get(deps)\n me = eo.to_mesh()\n try:\n mw = obj.matrix_world\n return [mw @ v.co for v in me.vertices]\n finally:\n eo.to_mesh_clear()\n\n\ndef compute_basics(verts):\n mm = 1000.0\n xs = [v.x for v in verts]; ys=[v.y for v in verts]; zs=[v.z for v in verts]\n min_z = min(zs)*mm; max_z = max(zs)*mm\n zs_sorted = sorted(zs)\n z0 = zs_sorted[int(0.25*(len(zs_sorted)-1))]\n z1 = zs_sorted[int(0.65*(len(zs_sorted)-1))]\n band = [v for v in verts if z0<=v.z<=z1]\n if len(band)<100:\n band = verts\n rs = [math.hypot(v.x, v.y) for v in band]\n rs.sort()\n major_d = 2.0*rs[int(0.95*(len(rs)-1))]*mm if rs else max(max(xs)-min(xs), max(ys)-min(ys))*mm\n length = max(0.0, -min_z)\n dz = (max(zs)-min(zs))*mm; dxy = max((max(xs)-min(xs))*mm, (max(ys)-min(ys))*mm)\n axis_dev = 0.0 if dz>dxy else 10.0\n return min_z, max_z, major_d, length, axis_dev\n\n\ndef head_metrics(verts, major_d_mm):\n mm=1000.0\n slice_pts = [v for v in verts if -0.6 <= v.z*mm <= -0.1]\n if not slice_pts:\n return None\n rs = sorted(math.hypot(v.x, v.y) for v in slice_pts)\n if not rs:\n return None\n head_radius_mm = rs[int(0.95*(len(rs)-1))]*mm\n shank_r_mm = max(0.01, major_d_mm/2.0)\n thresh = 1.25*shank_r_mm\n h=0.0; z=0.0; step=0.1\n zs=[v.z*mm for v in verts if v.z*mm<=0.0]\n zmin=min(zs) if zs else -6.0\n while z>=zmin:\n band=[v for v in verts if z-step<=v.z*mm<=z]\n if band:\n r95=sorted(math.hypot(v.x,v.y) for v in band)\n r95=r95[int(0.95*(len(r95)-1))]*mm\n if r95 < thresh:\n break\n h+=step; z-=step\n return {'head_present': h>0, 'head_radius_mm': head_radius_mm, 'head_height_mm': h}\n\n\ndef socket_metrics(verts, head_radius_mm):\n mm=1000.0\n ring = [v for v in verts if -0.6<=v.z*mm<=-0.1 and math.hypot(v.x,v.y)<=0.8*(head_radius_mm)]\n if len(ring)<60:\n return {}\n nb=72\n sums=[0.0]*nb; counts=[0]*nb; mins=[1e9]*nb\n for v in ring:\n th=math.atan2(v.y,v.x); th = th if th>=0 else th+2*math.pi\n i=int((th/(2*math.pi))*nb) % nb\n r=math.hypot(v.x,v.y)*mm\n sums[i]+=r; counts[i]+=1; mins[i]=min(mins[i], r)\n R=[(sums[i]/counts[i]) if counts[i]>0 else None for i in range(nb)]\n c=s=0.0; m=0.0; valid=0\n for i in range(nb):\n if R[i] is None: continue\n th=(i+0.5)/nb*2*math.pi\n r=R[i]; c+=r*math.cos(6*th); s+=r*math.sin(6*th); m+=r; valid+=1\n socket_hex_score=0.0\n if valid>0 and m>0:\n amp=(c*c+s*s)**0.5/m\n socket_hex_score=float(max(0.0, min(1.0, 6.0*amp)))\n min_r=min([mins[i] for i in range(nb) if mins[i]<1e9], default=None)\n socket_af_est_mm=2*min_r if min_r is not None else None\n depth_pts=[v for v in verts if math.hypot(v.x,v.y)*mm <= 0.6*(head_radius_mm)]\n socket_depth_mm=None\n if depth_pts:\n mz=min(v.z for v in depth_pts)*mm\n socket_depth_mm=0.0 - mz\n out={'socket_hex_score': socket_hex_score}\n if socket_af_est_mm is not None: out['socket_af_est_mm']=float(socket_af_est_mm)\n if socket_depth_mm is not None: out['socket_depth_mm']=float(socket_depth_mm)\n return out\n\n\ndef thread_metrics(verts, major_d_mm):\n mm=1000.0\n zs=[v.z for v in verts if v.z<=0]\n if not zs: return {}\n zs_sorted=sorted(zs)\n zlo=zs_sorted[int(0.2*(len(zs_sorted)-1))]; zhi=zs_sorted[int(0.8*(len(zs_sorted)-1))]\n band=[v for v in verts if zlo<=v.z<=zhi]\n if len(band)<200: band=[v for v in verts if v.z<=0]\n nb_theta=48; dz_mm=0.1\n zmin_mm=min(v.z for v in band)*mm; zmax_mm=max(v.z for v in band)*mm\n nb_z=max(1,int((zmax_mm - zmin_mm)/dz_mm))\n acc=[[[] for _ in range(nb_z)] for __ in range(nb_theta)]\n for v in band:\n th=math.atan2(v.y,v.x); th = th if th>=0 else th+2*math.pi\n ti=int((th/(2*math.pi))*nb_theta) % nb_theta\n zi=int(((v.z*mm - zmin_mm)/dz_mm)); zi=min(max(zi,0), nb_z-1)\n acc[ti][zi].append(math.hypot(v.x,v.y)*mm)\n rtz=[[ (sum(c)/len(c)) if c else None for c in row] for row in acc]\n for ti in range(nb_theta):\n vals=[x for x in rtz[ti] if x is not None]\n if not vals: continue\n mu=sum(vals)/len(vals)\n for zi in range(nb_z):\n if rtz[ti][zi] is not None:\n rtz[ti][zi]-=mu\n def amp_for_pitch(p):\n c=s=0.0; denom=1e-9\n for ti in range(nb_theta):\n cc=ss=0.0; dd=1e-9\n for zi in range(nb_z):\n r=rtz[ti][zi]\n if r is None: continue\n z=zmin_mm + (zi+0.5)*dz_mm\n ang=2*math.pi*z/p\n cc+=r*math.cos(ang); ss+=r*math.sin(ang); dd+=r*r\n denom+=dd; c+= (cc*cc+ss*ss)**0.5\n return (c/max(1.0, nb_theta))/ (denom**0.5)\n pitches=[0.45,0.5,0.55]\n amps=[amp_for_pitch(p) for p in pitches]\n bi=max(range(len(amps)), key=lambda i: amps[i]) if amps else 1\n thread_score=float(max(0.0, min(1.0, 4.0*amps[bi])))\n return {'thread_score': thread_score, 'thread_pitch_est_mm': pitches[bi]}\n\n\ndef ensure_screenshot(obj, screenshot_path):\n if not screenshot_path: return\n scn=bpy.context.scene\n if scn.camera is None:\n cd=bpy.data.cameras.new('AutoCam'); co=bpy.data.objects.new('AutoCam', cd)\n scn.collection.objects.link(co); scn.camera=co\n else:\n co=scn.camera; cd=co.data\n cd.type='ORTHO'\n bb=[obj.matrix_world @ Vector(c) for c in obj.bound_box]\n min_x=min(v.x for v in bb); max_x=max(v.x for v in bb)\n min_y=min(v.y for v in bb); max_y=max(v.y for v in bb)\n min_z=min(v.z for v in bb); max_z=max(v.z for v in bb)\n center=Vector(((min_x+max_x)/2,(min_y+max_y)/2,(min_z+max_z)/2))\n size=max(max_x-min_x, max_y-min_y, max_z-min_z)\n cd.ortho_scale=max(1e-3,size)*1.3\n dist=max(1.0,size*3.0)\n co.location=center+Vector((1,1,1)).normalized()*dist\n co.rotation_euler=(math.radians(54.7),0,math.radians(45))\n scn.render.image_settings.file_format='PNG'\n scn.render.filepath=screenshot_path\n for eng in ('BLENDER_EEVEE','BLENDER_EEVEE_NEXT','BLENDER_WORKBENCH','CYCLES'):\n try: scn.render.engine=eng; break\n except Exception: pass\n bpy.ops.render.render(write_still=True)\n\n\ndef add_slowmo(obj, seconds=10):\n if bpy.app.background: return\n scn=bpy.context.scene\n fps=int(scn.render.fps or 24); frames=seconds*fps\n bb=[obj.matrix_world @ Vector(c) for c in obj.bound_box]\n min_z=min(v.z for v in bb); max_z=max(v.z for v in bb)\n size=max(max(v.x for v in bb)-min(v.x for v in bb), max(v.y for v in bb)-min(v.y for v in bb))\n bpy.ops.mesh.primitive_cube_add(size=size*1.2, location=(0,0,max_z+size))\n slicer=bpy.context.active_object; slicer.name='Slicer'\n dup=obj.copy(); dup.data=obj.data.copy(); dup.name='CutTarget'\n bpy.context.collection.objects.link(dup)\n mod=dup.modifiers.new(name='Slice', type='BOOLEAN'); mod.operation='INTERSECT'; mod.solver='FAST'; mod.object=slicer\n scn.frame_start=1; scn.frame_end=frames\n slicer.keyframe_insert(data_path='location', frame=1)\n slicer.location.z=min_z - size\n slicer.keyframe_insert(data_path='location', frame=frames)\n try: bpy.ops.screen.animation_play()\n except Exception: pass\n\n\ndef main():\n path, out_json, save_blend, keep_open, screenshot, slowmo, slowmo_seconds = parse_args(sys.argv)\n try:\n bpy.ops.wm.read_factory_settings(use_empty=True)\n obj=import_gltf(path)\n verts=world_verts(obj)\n min_z, max_z, major_d, length, axis_dev = compute_basics(verts)\n head = head_metrics(verts, major_d)\n sock = socket_metrics(verts, head.get('head_radius_mm') if head else major_d/2.0)\n thr = thread_metrics(verts, major_d)\n data={'ok': True, 'engine':'blender', 'metrics':{\n 'min_z_mm': float(min_z), 'max_z_mm': float(max_z), 'head_plane_z_mm': float(max_z),\n 'length_under_head_mm': float(length), 'thread_major_diameter_mm': float(major_d),\n 'axis_deviation_deg': float(axis_dev), 'predicted_turns': float(length/0.5) if length>0 else 0.0}}\n if head: data['metrics'].update(head)\n if sock: data['metrics'].update(sock)\n if thr: data['metrics'].update(thr)\n ensure_screenshot(obj, screenshot)\n if save_blend:\n try: bpy.ops.wm.save_mainfile(filepath=save_blend)\n except Exception: pass\n with open(out_json,'w') as f: json.dump(data,f)\n if slowmo or keep_open: add_slowmo(obj, seconds=slowmo_seconds)\n if keep_open: return\n except Exception as e:\n with open(out_json,'w') as f:\n json.dump({'ok': False, 'engine':'blender', 'metrics':{}, 'log': f'{type(e).__name__}: {e}'}, f)\n\nif __name__=='__main__':\n main()\n"
}
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