Reference case for a fillet with a B-spline radius (#810)

Adds oracle case 81 (a box edge rounded at a clamped cubic B-spline radius) with analytic expected values, and passes spline fillets through recipes.

Co-Authored-By: Claude Opus 5.5 <[email protected]>
This commit is contained in:
Irakli KourtisandClaude Opus 5.5 authored and GitHub committed 2026-10-13 14:28:49 -04:00
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commit 17b4b9a32c
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{
"source": "analytic",
"method": "box 40x30x20 with its top front edge (y=0, z=20) rounded at a radius that is a clamped cubic B-spline in u = x/40, knots 0,0,0,0,0.25,0.6,1,1,1,1, control radii 2, 5, 1.5, 4, 1, 3 (r(0) = 2, r(40) = 3). Sections are quarter rounds; V, moments and areas integrated along the edge, exactly per knot span",
"body_count": 1,
"volume_mm3": 23933.601078437176,
"area_mm2": 5150.5132169272065,
"center_of_mass": [
20.008680496725603,
15.039806270911098,
9.974065214901927
],
"bbox": {
"min": [
0.0,
0.0,
0.0
],
"max": [
40.0,
30.0,
20.0
]
},
"faces": 7
}
@@ -0,0 +1,204 @@
{
"id": "81-fillet-spline-radius",
"name": "Fillet with a B-spline radius",
"description": "40x30x20 box, the top front edge rounded with a radius following a clamped cubic B-spline along it: control radii 2, 5, 1.5, 4, 1, 3 mm from x = 0, knots 0, 0, 0, 0, 0.25, 0.6, 1, 1, 1, 1.",
"exercises": [
"extrude",
"fillet",
"spline radius"
],
"units": {
"length": "mm",
"angle": "deg",
"area": "mm2",
"volume": "mm3"
},
"conventions": {
"world": "right-handed; Z up. XY/XZ/YZ are the origin planes.",
"sketch_frame": "sketch-local 2D coords; world = plane.origin + x*plane.x_dir + y*plane.y_dir (origin in mm). Profile 'loops' list sketch entity ids.",
"point_refs": "'<id>.start' / '<id>.end' / '<id>.center' reuse (share) that existing sketch point; 'at' is its position when referenced.",
"extrude_direction": "positive = along sketch plane normal unless stated",
"selections": "selected faces/edges carry 'point': a world-space point on the face / the edge's parametric midpoint; pick the nearest face/edge to it."
},
"parameters": [],
"features": [
{
"op": "sketch",
"name": "Extrude1_sketch",
"plane": {
"ref": "XY",
"origin": [
0.0,
0.0,
0.0
],
"x_dir": [
1.0,
0.0,
0.0
],
"y_dir": [
0.0,
1.0,
0.0
],
"normal": [
0.0,
0.0,
1.0
]
},
"entities": [
{
"type": "line",
"start": {
"at": [
0,
0
]
},
"end": {
"at": [
40,
0
]
},
"id": "l1"
},
{
"type": "line",
"start": {
"ref": "l1.end",
"at": [
40.0,
0.0
]
},
"end": {
"at": [
40,
30
]
},
"id": "l2"
},
{
"type": "line",
"start": {
"ref": "l2.end",
"at": [
40.0,
30.0
]
},
"end": {
"at": [
0,
30
]
},
"id": "l3"
},
{
"type": "line",
"start": {
"ref": "l3.end",
"at": [
0.0,
30.0
]
},
"end": {
"ref": "l1.start",
"at": [
0.0,
0.0
]
},
"id": "l4"
}
],
"constraints": [],
"dimensions": []
},
{
"op": "extrude",
"name": "Extrude1",
"operation": "new",
"profiles": [
{
"sketch": "Extrude1_sketch",
"loops": [
{
"outer": true,
"curves": [
"l1",
"l2",
"l3",
"l4"
]
}
]
}
],
"extent": {
"type": "distance",
"distance": 20,
"direction": "positive"
},
"result_bodies": [
"Part"
]
},
{
"op": "fillet",
"name": "Fillet1",
"type": "spline_radius",
"radius": 2.0,
"radii": [
5.0,
1.5,
4.0,
1.0,
3.0
],
"knots": [
0.0,
0.0,
0.0,
0.0,
0.25,
0.6,
1.0,
1.0,
1.0,
1.0
],
"start": [
0.0,
0.0,
20.0
],
"edges": [
{
"type": "line",
"start": [
0.0,
0.0,
20.0
],
"end": [
40.0,
0.0,
20.0
],
"point": [
20.0,
0.0,
20.0
]
}
]
}
]
}