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Kernel rig: a blend between coplanar sheets is flat, a step blend meets both sheets at the order asked, and unchained edges are refused

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Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
This commit is contained in:
jyviko
2026-10-29 17:03:27 -04:00
committed by Irakli Kourtis
parent 680f2ee5cb
commit 425c8ed421
10 changed files with 760 additions and 0 deletions
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tests/kernel-cases/surfaces/cov-blend-between-coplanar-sheets-is-flat/expected.json
+40
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{
"sources": [],
"what": "a G1 blend across the 10 mm gap between two coplanar sheets, stitched to both: flat, filling the gap exactly",
"source": "analytic",
"method": "both ends' tangent planes are z = 0 and the edges face each other along x: every cross-section's Hermite lies in z = 0 from x = 10 to x = 20, so the blend is the 10 x 20 strip; stitched: one body, area 200 + 200 + 200 = 600, 6 free edges round the 30 x 20 outline (the blend's own sides counted, [6, 8]); seams at x = 10 and 20 at least G1",
"valid": false,
"body_count": 1,
"area_mm2": 600.0,
"boundary_edges": [
6,
8
],
"bbox": {
"min": [
0,
0,
0
],
"max": [
30,
20,
0
]
},
"continuity": {
"order": "g1",
"edges": [
[
10,
10,
0
],
[
20,
10,
0
]
]
}
}
tests/kernel-cases/surfaces/cov-blend-between-coplanar-sheets-is-flat/recipe.json
+125
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{
"commands": [
{
"command": "sketch.create",
"params": {
"plane": {
"origin": [
0,
0,
0
],
"x_dir": [
1,
0,
0
],
"y_dir": [
0,
1,
0
]
},
"name": "A sketch"
}
},
{
"command": "sketch.rectangle.two_point",
"params": {
"p0": [
0,
0
],
"p1": [
10,
20
]
}
},
{
"command": "sketch.finish",
"params": {}
},
{
"command": "surface.patch",
"params": {
"sketch": "A sketch",
"body_name": "A"
}
},
{
"command": "sketch.create",
"params": {
"plane": {
"origin": [
0,
0,
0
],
"x_dir": [
1,
0,
0
],
"y_dir": [
0,
1,
0
]
},
"name": "B sketch"
}
},
{
"command": "sketch.rectangle.two_point",
"params": {
"p0": [
20,
0
],
"p1": [
30,
20
]
}
},
{
"command": "sketch.finish",
"params": {}
},
{
"command": "surface.patch",
"params": {
"sketch": "B sketch",
"body_name": "B"
}
},
{
"command": "surface.blend",
"params": {
"from": {
"body": "A",
"edges": [
[
10,
10,
0
]
]
},
"to": {
"body": "B",
"edges": [
[
20,
10,
0
]
]
},
"stitch": true,
"body_name": "Bridge"
}
}
]
}
tests/kernel-cases/surfaces/cov-blend-from-edges-that-do-not-chain-refused/expected.json
+8
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{
"sources": [],
"what": "a blend from two opposite sides of a sheet: they share no vertex, so they are no chain; refused",
"source": "invariants",
"method": "an end of a blend is one chain of edges, each running on from the last",
"outcome": "refused",
"refusal": "the picked edges do not run on from one another"
}
tests/kernel-cases/surfaces/cov-blend-from-edges-that-do-not-chain-refused/recipe.json
+128
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@@ -0,0 +1,128 @@
{
"commands": [
{
"command": "sketch.create",
"params": {
"plane": {
"origin": [
0,
0,
0
],
"x_dir": [
1,
0,
0
],
"y_dir": [
0,
1,
0
]
},
"name": "A sketch"
}
},
{
"command": "sketch.rectangle.two_point",
"params": {
"p0": [
0,
0
],
"p1": [
10,
20
]
}
},
{
"command": "sketch.finish",
"params": {}
},
{
"command": "surface.patch",
"params": {
"sketch": "A sketch",
"body_name": "A"
}
},
{
"command": "sketch.create",
"params": {
"plane": {
"origin": [
0,
0,
0
],
"x_dir": [
1,
0,
0
],
"y_dir": [
0,
1,
0
]
},
"name": "B sketch"
}
},
{
"command": "sketch.rectangle.two_point",
"params": {
"p0": [
20,
0
],
"p1": [
30,
20
]
}
},
{
"command": "sketch.finish",
"params": {}
},
{
"command": "surface.patch",
"params": {
"sketch": "B sketch",
"body_name": "B"
}
},
{
"command": "surface.blend",
"params": {
"from": {
"body": "A",
"edges": [
[
0,
10,
0
],
[
10,
10,
0
]
]
},
"to": {
"body": "B",
"edges": [
[
20,
10,
0
]
]
}
}
}
]
}
tests/kernel-cases/surfaces/cov-blend-step-between-offset-sheets-g1/expected.json
+24
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@@ -0,0 +1,24 @@
{
"sources": [],
"what": "a G1 blend bridging a 10 mm step between two parallel sheets (z = 0 and z = 10), stitched to both: it meets each at G1",
"source": "invariants",
"method": "sheets x 0..10 at z = 0 and x 20..30 at z = 10, 20 wide; the blend leaves each edge in its sheet's tangent plane (and curvature, rate) as asked. Graded: the order at both seams as Continuity Analysis measures it, one body of 3 faces (each a different surface, so none merge)",
"valid": false,
"body_count": 1,
"faces": 3,
"continuity": {
"order": "g1",
"edges": [
[
10,
10,
0
],
[
20,
10,
10
]
]
}
}
tests/kernel-cases/surfaces/cov-blend-step-between-offset-sheets-g1/recipe.json
+129
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@@ -0,0 +1,129 @@
{
"commands": [
{
"command": "sketch.create",
"params": {
"plane": {
"origin": [
0,
0,
0
],
"x_dir": [
1,
0,
0
],
"y_dir": [
0,
1,
0
]
},
"name": "A sketch"
}
},
{
"command": "sketch.rectangle.two_point",
"params": {
"p0": [
0,
0
],
"p1": [
10,
20
]
}
},
{
"command": "sketch.finish",
"params": {}
},
{
"command": "surface.patch",
"params": {
"sketch": "A sketch",
"body_name": "A"
}
},
{
"command": "sketch.create",
"params": {
"plane": {
"origin": [
0,
0,
10
],
"x_dir": [
1,
0,
0
],
"y_dir": [
0,
1,
0
]
},
"name": "Bs"
}
},
{
"command": "sketch.rectangle.two_point",
"params": {
"p0": [
20,
0
],
"p1": [
30,
20
]
}
},
{
"command": "sketch.finish",
"params": {}
},
{
"command": "surface.patch",
"params": {
"sketch": "Bs",
"body_name": "B"
}
},
{
"command": "surface.blend",
"params": {
"from": {
"body": "A",
"edges": [
[
10,
10,
0
]
]
},
"to": {
"body": "B",
"edges": [
[
20,
10,
10
]
]
},
"continuity": [
"g1",
"g1"
],
"stitch": true,
"body_name": "Bridge"
}
}
]
}
tests/kernel-cases/surfaces/cov-blend-step-between-offset-sheets-g2/expected.json
+24
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@@ -0,0 +1,24 @@
{
"sources": [],
"what": "a G2 blend bridging a 10 mm step between two parallel sheets (z = 0 and z = 10), stitched to both: it meets each at G2",
"source": "invariants",
"method": "sheets x 0..10 at z = 0 and x 20..30 at z = 10, 20 wide; the blend leaves each edge in its sheet's tangent plane (and curvature, rate) as asked. Graded: the order at both seams as Continuity Analysis measures it, one body of 3 faces (each a different surface, so none merge)",
"valid": false,
"body_count": 1,
"faces": 3,
"continuity": {
"order": "g2",
"edges": [
[
10,
10,
0
],
[
20,
10,
10
]
]
}
}
tests/kernel-cases/surfaces/cov-blend-step-between-offset-sheets-g2/recipe.json
+129
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@@ -0,0 +1,129 @@
{
"commands": [
{
"command": "sketch.create",
"params": {
"plane": {
"origin": [
0,
0,
0
],
"x_dir": [
1,
0,
0
],
"y_dir": [
0,
1,
0
]
},
"name": "A sketch"
}
},
{
"command": "sketch.rectangle.two_point",
"params": {
"p0": [
0,
0
],
"p1": [
10,
20
]
}
},
{
"command": "sketch.finish",
"params": {}
},
{
"command": "surface.patch",
"params": {
"sketch": "A sketch",
"body_name": "A"
}
},
{
"command": "sketch.create",
"params": {
"plane": {
"origin": [
0,
0,
10
],
"x_dir": [
1,
0,
0
],
"y_dir": [
0,
1,
0
]
},
"name": "Bs"
}
},
{
"command": "sketch.rectangle.two_point",
"params": {
"p0": [
20,
0
],
"p1": [
30,
20
]
}
},
{
"command": "sketch.finish",
"params": {}
},
{
"command": "surface.patch",
"params": {
"sketch": "Bs",
"body_name": "B"
}
},
{
"command": "surface.blend",
"params": {
"from": {
"body": "A",
"edges": [
[
10,
10,
0
]
]
},
"to": {
"body": "B",
"edges": [
[
20,
10,
10
]
]
},
"continuity": [
"g2",
"g2"
],
"stitch": true,
"body_name": "Bridge"
}
}
]
}
tests/kernel-cases/surfaces/cov-blend-step-between-offset-sheets-g3/expected.json
+24
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@@ -0,0 +1,24 @@
{
"sources": [],
"what": "a G3 blend bridging a 10 mm step between two parallel sheets (z = 0 and z = 10), stitched to both: it meets each at G3",
"source": "invariants",
"method": "sheets x 0..10 at z = 0 and x 20..30 at z = 10, 20 wide; the blend leaves each edge in its sheet's tangent plane (and curvature, rate) as asked. Graded: the order at both seams as Continuity Analysis measures it, one body of 3 faces (each a different surface, so none merge)",
"valid": false,
"body_count": 1,
"faces": 3,
"continuity": {
"order": "g3",
"edges": [
[
10,
10,
0
],
[
20,
10,
10
]
]
}
}
tests/kernel-cases/surfaces/cov-blend-step-between-offset-sheets-g3/recipe.json
+129
View File
@@ -0,0 +1,129 @@
{
"commands": [
{
"command": "sketch.create",
"params": {
"plane": {
"origin": [
0,
0,
0
],
"x_dir": [
1,
0,
0
],
"y_dir": [
0,
1,
0
]
},
"name": "A sketch"
}
},
{
"command": "sketch.rectangle.two_point",
"params": {
"p0": [
0,
0
],
"p1": [
10,
20
]
}
},
{
"command": "sketch.finish",
"params": {}
},
{
"command": "surface.patch",
"params": {
"sketch": "A sketch",
"body_name": "A"
}
},
{
"command": "sketch.create",
"params": {
"plane": {
"origin": [
0,
0,
10
],
"x_dir": [
1,
0,
0
],
"y_dir": [
0,
1,
0
]
},
"name": "Bs"
}
},
{
"command": "sketch.rectangle.two_point",
"params": {
"p0": [
20,
0
],
"p1": [
30,
20
]
}
},
{
"command": "sketch.finish",
"params": {}
},
{
"command": "surface.patch",
"params": {
"sketch": "Bs",
"body_name": "B"
}
},
{
"command": "surface.blend",
"params": {
"from": {
"body": "A",
"edges": [
[
10,
10,
0
]
]
},
"to": {
"body": "B",
"edges": [
[
20,
10,
10
]
]
},
"continuity": [
"g3",
"g3"
],
"stitch": true,
"body_name": "Bridge"
}
}
]
}