feat(astra): add independent nesting engine and fix hole validation

Replace the Terra scaffold with an independent configuration-space contact placer and bounded stock-plan search. Include plugin tests, synthetic and DXF benchmark drivers, results, and deployment documentation.

Correct shared collision clipping and hole subtraction so curved-hole inserts validate consistently. Cover translated layouts, spacing violations, operand order, winding, and independent boolean-area comparisons.

Validation: 1,293 tests passed with 12 fixture skips; all 34 synthetic/generated and four DXF cases are valid and complete.
This commit is contained in:
aj
2026-09-24 00:14:36 -04:00
parent 87f7ddad1a
commit 22d21924b8
34 changed files with 1984 additions and 265 deletions
+84 -128
View File
@@ -184,73 +184,14 @@ namespace OpenNest.Geometry
/// </summary>
private static Polygon ClipConvex(Polygon subject, Polygon clip)
{
var output = new List<Vector>(subject.Vertices);
// Remove closing vertex if present
if (
output.Count > 1
&& output[0].X == output[output.Count - 1].X
&& output[0].Y == output[output.Count - 1].Y
)
output.RemoveAt(output.Count - 1);
var clipVerts = new List<Vector>(clip.Vertices);
if (
clipVerts.Count > 1
&& clipVerts[0].X == clipVerts[clipVerts.Count - 1].X
&& clipVerts[0].Y == clipVerts[clipVerts.Count - 1].Y
)
clipVerts.RemoveAt(clipVerts.Count - 1);
for (var i = 0; i < clipVerts.Count; i++)
var output = OpenVertices(subject);
var clipVerts = OpenVertices(clip);
for (var i = 0; i < clipVerts.Count && output.Count >= 3; i++)
{
if (output.Count == 0)
return null;
var edgeStart = clipVerts[i];
var edgeEnd = clipVerts[(i + 1) % clipVerts.Count];
var input = output;
output = new List<Vector>();
for (var j = 0; j < input.Count; j++)
{
var current = input[j];
var next = input[(j + 1) % input.Count];
var currentInside = Cross(edgeStart, edgeEnd, current) >= -Tolerance.Epsilon;
var nextInside = Cross(edgeStart, edgeEnd, next) >= -Tolerance.Epsilon;
if (currentInside)
{
output.Add(current);
if (!nextInside)
{
var ix = LineIntersection(edgeStart, edgeEnd, current, next);
if (ix.IsValid())
output.Add(ix);
}
}
else if (nextInside)
{
var ix = LineIntersection(edgeStart, edgeEnd, current, next);
if (ix.IsValid())
output.Add(ix);
}
}
output = ClipHalfSpace(output, clipVerts[i], clipVerts[(i + 1) % clipVerts.Count], true);
}
if (output.Count < 3)
return null;
var result = new Polygon();
result.Vertices.AddRange(output);
result.Close();
result.UpdateBounds();
// Reject degenerate slivers
if (result.Area() < Tolerance.Epsilon)
return null;
return result;
return PositiveAreaPolygon(output);
}
/// <summary>
@@ -263,24 +204,6 @@ namespace OpenNest.Geometry
- (edgeEnd.Y - edgeStart.Y) * (point.X - edgeStart.X);
}
/// <summary>
/// Intersection of lines (a1->a2) and (b1->b2). Returns Vector.Invalid if parallel.
/// </summary>
private static Vector LineIntersection(Vector a1, Vector a2, Vector b1, Vector b2)
{
var d1x = a2.X - a1.X;
var d1y = a2.Y - a1.Y;
var d2x = b2.X - b1.X;
var d2y = b2.Y - b1.Y;
var cross = d1x * d2y - d1y * d2x;
if (System.Math.Abs(cross) < Tolerance.Epsilon)
return Vector.Invalid;
var t = ((b1.X - a1.X) * d2y - (b1.Y - a1.Y) * d2x) / cross;
return new Vector(a1.X + t * d1x, a1.Y + t * d1y);
}
/// <summary>
/// Subtracts holes from overlap regions.
/// </summary>
@@ -320,10 +243,9 @@ namespace OpenNest.Geometry
}
/// <summary>
/// Subtracts hole triangles from a region. Exact: a piece outside a convex hole
/// triangle equals the union of its clips against each triangle edge's outside
/// half-space, so overlap confined to a cutout disappears while any material
/// sliver outside the hole survives.
/// Subtracts hole triangles from a convex region. At each edge, emit the outside
/// portion and carry only the inside remainder to the next edge. The emitted
/// pieces are disjoint and convex, so no repeated triangulation is needed.
/// </summary>
private static List<Polygon> SubtractTriangles(Polygon region, List<Polygon> holeTris)
{
@@ -335,79 +257,113 @@ namespace OpenNest.Geometry
foreach (var piece in current)
{
if (!BoundingBoxesOverlap(piece.BoundingBox, holeTri.BoundingBox))
// Subtraction must also remove thin fragments created by clipping.
// The pair-level length tolerance would skip some of these even
// when their area is large enough to count as an overlap.
var a = piece.BoundingBox;
var b = holeTri.BoundingBox;
if (a.Right <= b.Left || b.Right <= a.Left || a.Top <= b.Bottom || b.Top <= a.Bottom)
{
next.Add(piece);
continue;
}
foreach (var pieceTri in TriangulateWithBounds(piece))
var remainder = OpenVertices(piece);
var holeVerts = OpenVertices(holeTri);
for (var i = 0; i < holeVerts.Count && remainder.Count >= 3; i++)
{
var holeVerts = holeTri.Vertices;
var holeCount = holeTri.IsClosed() ? holeVerts.Count - 1 : holeVerts.Count;
var survived = false;
for (var i = 0; i < holeCount; i++)
survived |= AddIfPositiveArea(
next,
ClipOutsideHalfSpace(
pieceTri,
holeVerts[i],
holeVerts[(i + 1) % holeCount]
)
);
if (!survived)
continue; // piece lies entirely within the hole
var start = holeVerts[i];
var end = holeVerts[(i + 1) % holeVerts.Count];
var outside = PositiveAreaPolygon(ClipHalfSpace(remainder, start, end, false));
if (outside != null)
next.Add(outside);
remainder = ClipHalfSpace(remainder, start, end, true);
}
}
current = next;
if (current.Count == 0)
break;
}
return current;
}
/// <summary>
/// Sutherland-Hodgman clip of a convex polygon to the strict outside of the
/// infinite line edgeStart->edgeEnd of a CCW hole edge (Cross &lt; -Epsilon).
/// Clips an open vertex list against one half-space. Classification and
/// interpolation use the same signed cross products: intersections always
/// lie on the input segment. An epsilon-shifted inside test combined with
/// intersections on the unshifted line can extrapolate and create material.
/// Apply the area tolerance only to the resulting polygons, not to edge signs.
/// </summary>
private static List<Vector> ClipOutsideHalfSpace(
Polygon piece,
private static List<Vector> ClipHalfSpace(
List<Vector> vertices,
Vector edgeStart,
Vector edgeEnd
Vector edgeEnd,
bool inside
)
{
var verts = piece.Vertices;
var count = piece.IsClosed() ? verts.Count - 1 : verts.Count;
var kept = new List<Vector>();
for (var i = 0; i < count; i++)
for (var i = 0; i < vertices.Count; i++)
{
var current = verts[i];
var next = verts[(i + 1) % count];
var currentInside = Cross(edgeStart, edgeEnd, current) >= -Tolerance.Epsilon;
var nextInside = Cross(edgeStart, edgeEnd, next) >= -Tolerance.Epsilon;
if (!currentInside)
kept.Add(current);
if (currentInside == nextInside)
continue;
var intersection = LineIntersection(edgeStart, edgeEnd, current, next);
if (intersection.IsValid())
kept.Add(intersection);
var current = vertices[i];
var next = vertices[(i + 1) % vertices.Count];
var currentDistance = Cross(edgeStart, edgeEnd, current);
var nextDistance = Cross(edgeStart, edgeEnd, next);
if (inside ? currentDistance >= 0 : currentDistance <= 0)
AddDistinct(kept, current);
// Only strict opposite signs cross the line. Boundary endpoints
// are already kept, and near-parallel crossings need no cutoff.
if ((currentDistance < 0 && nextDistance > 0) || (currentDistance > 0 && nextDistance < 0))
{
var t = currentDistance / (currentDistance - nextDistance);
AddDistinct(kept, new Vector(
current.X + t * (next.X - current.X),
current.Y + t * (next.Y - current.Y)));
}
}
if (kept.Count > 1 && SamePoint(kept[0], kept[kept.Count - 1]))
kept.RemoveAt(kept.Count - 1);
return kept;
}
private static bool AddIfPositiveArea(List<Polygon> polygons, List<Vector> vertices)
private static bool SamePoint(Vector a, Vector b) => a.X == b.X && a.Y == b.Y;
private static void AddDistinct(List<Vector> vertices, Vector point)
{
if (vertices.Count == 0 || !SamePoint(vertices[vertices.Count - 1], point))
vertices.Add(point);
}
private static List<Vector> OpenVertices(Polygon polygon)
{
var vertices = new List<Vector>(polygon.Vertices);
if (vertices.Count > 1 && SamePoint(vertices[0], vertices[vertices.Count - 1]))
vertices.RemoveAt(vertices.Count - 1);
return vertices;
}
private static Polygon PositiveAreaPolygon(List<Vector> vertices)
{
if (vertices.Count < 3)
return false;
return null;
// Measure relative to a vertex to avoid cancellation of world-coordinate
// products when a small clipped fragment is far from the origin.
var twiceArea = 0.0;
for (var i = 1; i + 1 < vertices.Count; i++)
twiceArea += Cross(vertices[0], vertices[i], vertices[i + 1]);
if (System.Math.Abs(twiceArea) <= 2 * Tolerance.Epsilon)
return null;
var polygon = new Polygon();
polygon.Vertices.AddRange(vertices);
polygon.Close();
// Polygon.Close uses fuzzy Vector equality; clipping needs an exact
// closing vertex even when the last edge is shorter than Epsilon.
polygon.Vertices.Add(vertices[0]);
polygon.UpdateBounds();
if (polygon.Area() <= Tolerance.Epsilon)
return false;
polygons.Add(polygon);
return true;
return polygon;
}
}
}