using OpenNest.Geometry; using OpenNest.Math; using Xunit; using System.Linq; namespace OpenNest.Tests.Geometry; public class EllipseConverterTests { private const double Tol = 1e-10; [Fact] public void EvaluatePoint_AtZero_ReturnsMajorAxisEnd() { var p = EllipseConverter.EvaluatePoint(10, 5, 0, new Vector(0, 0), 0); Assert.InRange(p.X, 10 - Tol, 10 + Tol); Assert.InRange(p.Y, -Tol, Tol); } [Fact] public void EvaluatePoint_AtHalfPi_ReturnsMinorAxisEnd() { var p = EllipseConverter.EvaluatePoint(10, 5, 0, new Vector(0, 0), System.Math.PI / 2); Assert.InRange(p.X, -Tol, Tol); Assert.InRange(p.Y, 5 - Tol, 5 + Tol); } [Fact] public void EvaluatePoint_WithRotation_RotatesCorrectly() { var p = EllipseConverter.EvaluatePoint(10, 5, System.Math.PI / 2, new Vector(0, 0), 0); Assert.InRange(p.X, -Tol, Tol); Assert.InRange(p.Y, 10 - Tol, 10 + Tol); } [Fact] public void EvaluatePoint_WithCenter_TranslatesCorrectly() { var p = EllipseConverter.EvaluatePoint(10, 5, 0, new Vector(100, 200), 0); Assert.InRange(p.X, 110 - Tol, 110 + Tol); Assert.InRange(p.Y, 200 - Tol, 200 + Tol); } [Fact] public void EvaluateTangent_AtZero_PointsUp() { var t = EllipseConverter.EvaluateTangent(10, 5, 0, 0); Assert.InRange(t.X, -Tol, Tol); Assert.True(t.Y > 0); } [Fact] public void EvaluateNormal_AtZero_PointsInward() { var n = EllipseConverter.EvaluateNormal(10, 5, 0, 0); Assert.True(n.X < 0); Assert.InRange(n.Y, -Tol, Tol); } [Fact] public void IntersectNormals_PerpendicularNormals_FindsCenter() { var p1 = new Vector(5, 0); var n1 = new Vector(-1, 0); var p2 = new Vector(0, 5); var n2 = new Vector(0, -1); var center = EllipseConverter.IntersectNormals(p1, n1, p2, n2); Assert.InRange(center.X, -Tol, Tol); Assert.InRange(center.Y, -Tol, Tol); } [Fact] public void IntersectNormals_ParallelNormals_ReturnsInvalid() { var p1 = new Vector(0, 0); var n1 = new Vector(1, 0); var p2 = new Vector(0, 5); var n2 = new Vector(1, 0); var center = EllipseConverter.IntersectNormals(p1, n1, p2, n2); Assert.False(center.IsValid()); } [Fact] public void Convert_Circle_ProducesOneOrTwoArcs() { var result = EllipseConverter.Convert( new Vector(0, 0), semiMajor: 10, semiMinor: 10, rotation: 0, startParam: 0, endParam: Angle.TwoPI, tolerance: 0.001); Assert.All(result, e => Assert.IsType(e)); Assert.InRange(result.Count, 1, 4); } [Fact] public void Convert_ModerateEllipse_AllArcsWithinTolerance() { var a = 10.0; var b = 7.0; var tolerance = 0.001; var result = EllipseConverter.Convert( new Vector(0, 0), a, b, rotation: 0, startParam: 0, endParam: Angle.TwoPI, tolerance: tolerance); Assert.True(result.Count >= 4, $"Expected at least 4 arcs, got {result.Count}"); Assert.All(result, e => Assert.IsType(e)); foreach (var entity in result) { var arc = (Arc)entity; var maxDev = MaxDeviationFromEllipse(arc, new Vector(0, 0), a, b, 0, 50); Assert.True(maxDev <= tolerance, $"Arc at center ({arc.Center.X:F4},{arc.Center.Y:F4}) r={arc.Radius:F4} " + $"deviates {maxDev:F6} from ellipse (tolerance={tolerance})"); } } [Fact] public void Convert_HighlyEccentricEllipse_ProducesMoreArcs() { var a = 20.0; var b = 3.0; var tolerance = 0.001; var result = EllipseConverter.Convert( new Vector(0, 0), a, b, rotation: 0, startParam: 0, endParam: Angle.TwoPI, tolerance: tolerance); Assert.True(result.Count >= 8, $"Expected at least 8 arcs for eccentric ellipse, got {result.Count}"); Assert.All(result, e => Assert.IsType(e)); foreach (var entity in result) { var arc = (Arc)entity; var maxDev = MaxDeviationFromEllipse(arc, new Vector(0, 0), a, b, 0, 50); Assert.True(maxDev <= tolerance, $"Deviation {maxDev:F6} exceeds tolerance {tolerance}"); } } [Fact] public void Convert_PartialEllipse_CoversArcOnly() { var a = 10.0; var b = 5.0; var tolerance = 0.001; var result = EllipseConverter.Convert( new Vector(0, 0), a, b, rotation: 0, startParam: 0, endParam: System.Math.PI / 2, tolerance: tolerance); Assert.NotEmpty(result); Assert.All(result, e => Assert.IsType(e)); var firstArc = (Arc)result[0]; var sp = firstArc.StartPoint(); Assert.InRange(sp.X, a - 0.01, a + 0.01); Assert.InRange(sp.Y, -0.01, 0.01); var lastArc = (Arc)result[^1]; var ep = lastArc.EndPoint(); Assert.InRange(ep.X, -0.01, 0.01); Assert.InRange(ep.Y, b - 0.01, b + 0.01); } [Fact] public void Convert_EndpointContinuity_ArcsConnect() { var result = EllipseConverter.Convert( new Vector(5, 10), semiMajor: 15, semiMinor: 8, rotation: 0.5, startParam: 0, endParam: Angle.TwoPI, tolerance: 0.001); for (var i = 0; i < result.Count - 1; i++) { var current = (Arc)result[i]; var next = (Arc)result[i + 1]; var gap = current.EndPoint().DistanceTo(next.StartPoint()); Assert.True(gap < 1e-6, $"Gap of {gap:E4} between arc {i} and arc {i + 1}"); } var lastArc = (Arc)result[^1]; var firstArc = (Arc)result[0]; var closingGap = lastArc.EndPoint().DistanceTo(firstArc.StartPoint()); Assert.True(closingGap < 1e-6, $"Closing gap of {closingGap:E4}"); } [Fact] public void Convert_WithRotationAndOffset_ProducesValidArcs() { var center = new Vector(50, -30); var rotation = System.Math.PI / 3; var a = 12.0; var b = 6.0; var tolerance = 0.001; var result = EllipseConverter.Convert(center, a, b, rotation, startParam: 0, endParam: Angle.TwoPI, tolerance: tolerance); Assert.NotEmpty(result); foreach (var entity in result) { var arc = (Arc)entity; var maxDev = MaxDeviationFromEllipse(arc, center, a, b, rotation, 50); Assert.True(maxDev <= tolerance, $"Deviation {maxDev:F6} exceeds tolerance {tolerance}"); } } [Fact] public void DxfImporter_EllipseInDxf_ProducesArcsNotLines() { // Create a DXF in memory with an ellipse and verify import produces arcs var doc = new ACadSharp.CadDocument(); var ellipse = new ACadSharp.Entities.Ellipse { Center = new CSMath.XYZ(0, 0, 0), MajorAxisEndPoint = new CSMath.XYZ(10, 0, 0), RadiusRatio = 0.6, StartParameter = 0, EndParameter = System.Math.PI * 2 }; doc.Entities.Add(ellipse); // Write to temp file and re-import var tempPath = System.IO.Path.GetTempFileName() + ".dxf"; try { using (var stream = System.IO.File.Create(tempPath)) using (var writer = new ACadSharp.IO.DxfWriter(stream, doc, false)) writer.Write(); var importer = new OpenNest.IO.DxfImporter { SplinePrecision = 200 }; var result = importer.Import(tempPath); var arcCount = result.Entities.Count(e => e is Arc); var lineCount = result.Entities.Count(e => e is Line); // Should have arcs, not hundreds of lines Assert.True(arcCount >= 4, $"Expected at least 4 arcs, got {arcCount}"); Assert.Equal(0, lineCount); } finally { if (System.IO.File.Exists(tempPath)) System.IO.File.Delete(tempPath); } } private static double MaxDeviationFromEllipse(Arc arc, Vector ellipseCenter, double semiMajor, double semiMinor, double rotation, int samples) { var maxDev = 0.0; var sweep = arc.SweepAngle(); var startAngle = arc.StartAngle; if (arc.IsReversed) startAngle = arc.EndAngle; for (var i = 0; i <= samples; i++) { var frac = (double)i / samples; var angle = startAngle + frac * sweep; var px = arc.Center.X + arc.Radius * System.Math.Cos(angle); var py = arc.Center.Y + arc.Radius * System.Math.Sin(angle); var arcPoint = new Vector(px, py); // Coarse search over 1000 samples var bestT = 0.0; var minDist = double.MaxValue; for (var j = 0; j <= 1000; j++) { var t = (double)j / 1000 * Angle.TwoPI; var ep2 = EllipseConverter.EvaluatePoint(semiMajor, semiMinor, rotation, ellipseCenter, t); var dist = arcPoint.DistanceTo(ep2); if (dist < minDist) { minDist = dist; bestT = t; } } // Refine with local bisection around bestT var lo = bestT - Angle.TwoPI / 1000; var hi = bestT + Angle.TwoPI / 1000; for (var r = 0; r < 20; r++) { var t1 = lo + (hi - lo) / 3; var t2 = lo + 2 * (hi - lo) / 3; var d1 = arcPoint.DistanceTo(EllipseConverter.EvaluatePoint(semiMajor, semiMinor, rotation, ellipseCenter, t1)); var d2 = arcPoint.DistanceTo(EllipseConverter.EvaluatePoint(semiMajor, semiMinor, rotation, ellipseCenter, t2)); if (d1 < d2) hi = t2; else lo = t1; } var bestDist = arcPoint.DistanceTo(EllipseConverter.EvaluatePoint(semiMajor, semiMinor, rotation, ellipseCenter, (lo + hi) / 2)); if (bestDist > maxDev) maxDev = bestDist; } return maxDev; } }