fix: improve arc-tangency fitting and add layered engrave/cut passes for GravographIS

GeometrySimplifier/ArcFit now fit arcs that pass exactly through run
endpoints while balancing tangency error between trusted and estimated
directions, fixing arcs that previously bulged or broke tangent
continuity at fillet/compound-curve junctions.

GravographIS post processor gains per-layer (engrave/cut) tool passes
via a new GravographISPostConfig, so ENGRAVE/ETCH-tagged geometry runs
as a separate scribe pass with its own feed/depth and an operator
pause before the cut pass (spring-floated spindle needs a tool swap).

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
This commit is contained in:
aj
2026-08-06 23:15:18 -04:00
co-authored by Claude Opus 4.6
parent e493d83899
commit a085339ba9
15 changed files with 1084 additions and 138 deletions
+164 -30
View File
@@ -374,11 +374,8 @@ public class GeometrySimplifier
var points = CollectPoints(entities, start, k);
if (points.Count < 3) return null;
var startTangent = chainedTangent.IsValid()
? chainedTangent
: new Vector(points[1].X - points[0].X, points[1].Y - points[0].Y);
var endTangent = GetExitDirection(entities[k]);
var startTangent = EstimateStartTangent(entities, start, points, chainedTangent);
var endTangent = EstimateEndTangent(entities, k, points);
var (center, radius, dev) = TryFit(points, startTangent, endTangent);
if (!center.IsValid()) return null;
@@ -386,8 +383,10 @@ public class GeometrySimplifier
while (k + 1 <= runEnd)
{
var extPoints = CollectPoints(entities, start, k + 1);
var extEndTangent = GetExitDirection(entities[k + 1]);
var (nc, nr, nd) = extPoints.Count >= 3 ? TryFit(extPoints, startTangent, extEndTangent) : (Vector.Invalid, 0, 0d);
if (extPoints.Count < 3) break;
var extEndTangent = EstimateEndTangent(entities, k + 1, extPoints);
var (nc, nr, nd) = TryFit(extPoints, startTangent, extEndTangent);
if (!nc.IsValid()) break;
k++;
@@ -407,37 +406,172 @@ public class GeometrySimplifier
return new ArcFitResult(center, radius, dev, points, k);
}
private (Vector center, double radius, double deviation) TryFit(List<Vector> points, Vector startTangent, Vector endTangent)
private (Vector center, double radius, double deviation) TryFit(
List<Vector> points, TangentEstimate start, TangentEstimate end)
{
// Try dual-tangent fit first (matches direction at both endpoints)
if (endTangent.IsValid())
foreach (var (center, radius, dev) in FitAttempts(points, start, end))
{
var (dc, dr, dd) = ArcFit.FitWithDualTangent(points, startTangent, endTangent);
if (dc.IsValid() && dd <= Tolerance)
if (!center.IsValid() || dev > Tolerance)
continue;
// Check that the arc doesn't bulge away from the original line segments
var isReversed = SumSignedAngles(center, points) < 0;
var arcDev = MaxArcToSegmentDeviation(points, center, radius, isReversed);
if (arcDev > Tolerance)
continue;
return (center, radius, System.Math.Max(dev, arcDev));
}
return (Vector.Invalid, 0, 0);
}
/// <summary>
/// Yields fit attempts in preference order. A trusted tangent (chained from the
/// previous arc, an adjacent original arc, or a long straight edge) is enforced
/// exactly on its side; otherwise the tangency error is balanced between both
/// endpoints. The unconstrained mirror-axis fit is the last resort. Every attempt
/// passes exactly through both endpoints, so no gaps are introduced.
/// </summary>
private IEnumerable<(Vector center, double radius, double deviation)> FitAttempts(
List<Vector> points, TangentEstimate start, TangentEstimate end)
{
if (start.Trusted && !end.Trusted)
{
yield return ArcFit.FitWithStartTangent(points, start.Direction);
yield return ArcFit.FitThroughEndpointsWithTangents(points, start.Direction, end.Direction);
yield return FitWithEndTangent(points, end.Direction);
}
else if (end.Trusted && !start.Trusted)
{
yield return FitWithEndTangent(points, end.Direction);
yield return ArcFit.FitThroughEndpointsWithTangents(points, start.Direction, end.Direction);
yield return ArcFit.FitWithStartTangent(points, start.Direction);
}
else
{
yield return ArcFit.FitThroughEndpointsWithTangents(points, start.Direction, end.Direction);
yield return ArcFit.FitWithStartTangent(points, start.Direction);
yield return FitWithEndTangent(points, end.Direction);
}
yield return FitMirrorAxis(points);
}
/// <summary>
/// Fits an arc through both endpoints with an exact tangent at the last point,
/// by running the start-tangent fit on the reversed point sequence.
/// </summary>
private static (Vector center, double radius, double deviation) FitWithEndTangent(
List<Vector> points, Vector endTangent)
{
var reversed = new List<Vector>(points);
reversed.Reverse();
return ArcFit.FitWithStartTangent(reversed, new Vector(-endTangent.X, -endTangent.Y));
}
/// <summary>
/// An estimated tangent direction at a fit endpoint. Trusted estimates come from
/// exact geometry (a chained arc, an adjacent original arc, or a long straight
/// edge) and are enforced exactly; untrusted ones are derived from the polyline
/// vertices and only guide the fit.
/// </summary>
private readonly record struct TangentEstimate(Vector Direction, bool Trusted);
/// <summary>Segment-length ratio above which a neighboring line counts as a true
/// straight edge (rather than another chord of the tessellated curve).</summary>
private const double NeighborEdgeFactor = 3.0;
private static TangentEstimate EstimateStartTangent(
List<Entity> entities, int start, List<Vector> points, Vector chainedTangent)
{
if (chainedTangent.IsValid())
return new TangentEstimate(chainedTangent, true);
if (entities[start] is Arc startArc)
return new TangentEstimate(GetEntryDirection(startArc), true);
var firstChordLen = points[0].DistanceTo(points[1]);
if (start > 0)
{
var prev = entities[start - 1];
var prevEnd = prev switch { Line l => l.EndPoint, Arc a => a.EndPoint(), _ => Vector.Invalid };
if (prevEnd.IsValid() && prevEnd.DistanceTo(points[0]) < 1e-6)
{
var isRev = SumSignedAngles(dc, points) < 0;
var aDev = MaxArcToSegmentDeviation(points, dc, dr, isRev);
if (aDev <= Tolerance)
return (dc, dr, System.Math.Max(dd, aDev));
if (prev is Arc)
return new TangentEstimate(GetExitDirection(prev), true);
if (prev is Line prevLine && prevLine.StartPoint.DistanceTo(prevLine.EndPoint) >= NeighborEdgeFactor * firstChordLen)
return new TangentEstimate(GetExitDirection(prevLine), true);
}
}
// Fall back to start-tangent-only, then mirror axis
var (center, radius, dev) = ArcFit.FitWithStartTangent(points, startTangent);
if (!center.IsValid() || dev > Tolerance)
(center, radius, dev) = FitMirrorAxis(points);
if (!center.IsValid() || dev > Tolerance)
return (Vector.Invalid, 0, 0);
// Check that the arc doesn't bulge away from the original line segments
var isReversed = SumSignedAngles(center, points) < 0;
var arcDev = MaxArcToSegmentDeviation(points, center, radius, isReversed);
if (arcDev > Tolerance)
return (Vector.Invalid, 0, 0);
return (center, radius, System.Math.Max(dev, arcDev));
var chord = new Vector(points[1].X - points[0].X, points[1].Y - points[0].Y);
if (points.Count >= 3)
return new TangentEstimate(EstimateVertexTangent(points[0], points[1], points[2], chord), false);
return new TangentEstimate(chord, false);
}
private static TangentEstimate EstimateEndTangent(List<Entity> entities, int k, List<Vector> points)
{
if (entities[k] is Arc endArc)
return new TangentEstimate(GetExitDirection(endArc), true);
var lastChordLen = points[^1].DistanceTo(points[^2]);
if (k + 1 < entities.Count)
{
var next = entities[k + 1];
var nextStart = next switch { Line l => l.StartPoint, Arc a => a.StartPoint(), _ => Vector.Invalid };
if (nextStart.IsValid() && nextStart.DistanceTo(points[^1]) < 1e-6)
{
if (next is Arc nextArc)
return new TangentEstimate(GetEntryDirection(nextArc), true);
if (next is Line nextLine && nextLine.StartPoint.DistanceTo(nextLine.EndPoint) >= NeighborEdgeFactor * lastChordLen)
return new TangentEstimate(GetExitDirection(nextLine), true);
}
}
var chord = new Vector(points[^1].X - points[^2].X, points[^1].Y - points[^2].Y);
if (points.Count >= 3)
return new TangentEstimate(EstimateVertexTangent(points[^1], points[^2], points[^3], chord), false);
return new TangentEstimate(chord, false);
}
/// <summary>
/// Estimates the curve tangent at a polyline vertex from the circle through it and
/// its two nearest neighbors. A raw chord direction is off from the true tangent by
/// half the chord's subtended angle; the circumcircle estimate removes that bias.
/// Falls back to the travel direction when the three points are collinear.
/// </summary>
private static Vector EstimateVertexTangent(Vector at, Vector b, Vector c, Vector travel)
{
var d = 2 * (at.X * (b.Y - c.Y) + b.X * (c.Y - at.Y) + c.X * (at.Y - b.Y));
if (System.Math.Abs(d) < 1e-14)
return travel;
var sqA = at.X * at.X + at.Y * at.Y;
var sqB = b.X * b.X + b.Y * b.Y;
var sqC = c.X * c.X + c.Y * c.Y;
var cx = (sqA * (b.Y - c.Y) + sqB * (c.Y - at.Y) + sqC * (at.Y - b.Y)) / d;
var cy = (sqA * (c.X - b.X) + sqB * (at.X - c.X) + sqC * (b.X - at.X)) / d;
var tangent = new Vector(-(at.Y - cy), at.X - cx);
if (tangent.X * travel.X + tangent.Y * travel.Y < 0)
tangent = new Vector(-tangent.X, -tangent.Y);
return tangent;
}
/// <summary>
/// Returns the entry direction (tangent at start point) of an entity.
/// </summary>
private static Vector GetEntryDirection(Entity entity) => entity switch
{
Line line => new Vector(line.EndPoint.X - line.StartPoint.X, line.EndPoint.Y - line.StartPoint.Y),
Arc arc => arc.IsReversed
? new Vector(System.Math.Sin(arc.StartAngle), -System.Math.Cos(arc.StartAngle))
: new Vector(-System.Math.Sin(arc.StartAngle), System.Math.Cos(arc.StartAngle)),
_ => Vector.Invalid,
};
/// <summary>
/// Computes the tangent direction at the last point of a fitted arc,
/// used to chain tangent continuity to the next arc.