feat(engine): add RotationPolicy.EnumerateAngles and RotationCandidates
All three plugin engines turned a RotationPolicy into trial angles by hand (fixed angle, stepped sweep, or right angles plus the minimum-bounding- rectangle angle for Automatic), each with its own normalization, dedup and sweep caps. EnumerateAngles gives one deterministic, Allows-checked list; RotationCandidates.ForShape adds the MBR-aligning angles via the existing Polygon.FindBestRotation, and DistinctOutlines drops angles where the part looks identical. A cap of one returns the sweep start rather than throwing, since engines request a single sample for small orientation budgets. Co-Authored-By: Codex <noreply@openai.com> Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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using OpenNest.Engine.Jobs;
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using OpenNest.Geometry;
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namespace OpenNest.Engine.Tests.Jobs;
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public class RotationCandidatesTests
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{
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[Fact]
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public void RectangleOnlyNeedsRightAngles()
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{
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Assert.Equal(RotationPolicy.Automatic.EnumerateAngles(),
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RotationCandidates.ForShape(RotationPolicy.Automatic, Rectangle()));
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}
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[Fact]
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public void RotatedRectangleAddsExistingCalipersAnglesWithoutMutatingShape()
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{
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var shape = Rectangle();
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shape.Rotate(0.3);
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var before = shape.ToPolygonWithTolerance(0.1).Vertices.ToArray();
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var angles = RotationCandidates.ForShape(RotationPolicy.Automatic, shape);
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Assert.Equal(8, angles.Count);
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var expected = -shape.ToPolygonWithTolerance(0.1).FindBestRotation().Angle;
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for (var turn = 0; turn < 4; turn++)
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{
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var normalized = (expected + turn * System.Math.PI / 2 + 2 * System.Math.PI)
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% (2 * System.Math.PI);
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Assert.Equal(normalized, angles[4 + turn], 10);
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}
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Assert.All(angles, angle => Assert.True(RotationPolicy.Automatic.Allows(angle)));
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Assert.Equal(before, shape.ToPolygonWithTolerance(0.1).Vertices);
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Assert.Equal(angles, RotationCandidates.ForShape(RotationPolicy.Automatic, shape));
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}
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[Theory]
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[InlineData(0)]
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[InlineData(1)]
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[InlineData(3)]
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[InlineData(4)]
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[InlineData(5)]
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public void LimitPreservesRightAnglesFirst(int limit)
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{
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var shape = Rectangle();
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shape.Rotate(0.3);
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var all = RotationCandidates.ForShape(RotationPolicy.Automatic, shape);
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Assert.Equal(all.Take(limit), RotationCandidates.ForShape(RotationPolicy.Automatic, shape, limit));
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Assert.Equal(RotationPolicy.Automatic.EnumerateAngles().Take(System.Math.Min(limit, 4)),
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all.Take(System.Math.Min(limit, 4)));
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}
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[Fact]
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public void RestrictedPoliciesDoNotAddShapeAngles()
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{
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var shape = Rectangle();
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shape.Rotate(0.3);
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foreach (var policy in new[] { RotationPolicy.Fixed(0.1, true),
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RotationPolicy.BoundedSweep(5, 7, 0.1, true) })
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{
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var angles = RotationCandidates.ForShape(policy, shape);
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Assert.Equal(policy.EnumerateAngles(), angles);
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Assert.All(angles, angle => Assert.True(policy.Allows(angle)));
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}
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}
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[Theory]
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[InlineData("empty")]
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[InlineData("open")]
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[InlineData("zero-area")]
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[InlineData("nan")]
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[InlineData("infinity")]
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[InlineData("invalid-circle")]
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public void InvalidPerimeterFallsBackToPolicyAngles(string kind)
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{
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var shape = new Shape();
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if (kind == "open")
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shape.Entities.Add(new Line(new Vector(0, 0), new Vector(1, 1)));
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if (kind == "zero-area")
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{
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shape.Entities.Add(new Line(new Vector(0, 0), new Vector(1, 1)));
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shape.Entities.Add(new Line(new Vector(1, 1), new Vector(0, 0)));
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}
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if (kind is "nan" or "infinity")
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{
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shape = Rectangle();
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((Line)shape.Entities[0]).StartPoint = new Vector(
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kind == "nan" ? double.NaN : double.PositiveInfinity, 0);
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}
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if (kind == "invalid-circle")
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shape.Entities.Add(new Circle(0, 0, -1));
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Assert.Equal(RotationPolicy.Automatic.EnumerateAngles(),
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RotationCandidates.ForShape(RotationPolicy.Automatic, shape));
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}
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[Fact]
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public void DiscCollapsesToFirstOrientationIncludingArbitraryAngles()
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{
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var shape = new Shape();
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shape.Entities.Add(new Circle(3, 7, 2));
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Assert.Equal(new[] { 0.3 }, RotationCandidates.DistinctOutlines(shape,
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new[] { 0.3, 0, 0.7, System.Math.PI / 2, System.Math.PI }));
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}
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[Fact]
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public void RectangleHasTwoOutlinesAndPreservesFirstOccurrence()
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{
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var shape = Rectangle();
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shape.Offset(12, -7);
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var before = shape.ToPolygon().Vertices.ToArray();
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Assert.Equal(new[] { 0.0, System.Math.PI / 2 }, RotationCandidates.DistinctOutlines(
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shape, RotationPolicy.Automatic.EnumerateAngles()));
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Assert.Equal(new[] { System.Math.PI, 3 * System.Math.PI / 2 },
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RotationCandidates.DistinctOutlines(shape,
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new[] { System.Math.PI, -System.Math.PI / 2, 0, System.Math.PI / 2 }));
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Assert.Equal(before, shape.ToPolygon().Vertices);
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}
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[Fact]
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public void AsymmetricOutlineDoesNotCollapseEvenWithSquareBounds()
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{
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var shape = Polygon(new Vector(0, 0), new Vector(4, 0), new Vector(1, 4));
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Assert.Equal(4, RotationCandidates.DistinctOutlines(shape,
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RotationPolicy.Automatic.EnumerateAngles()).Count);
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}
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[Fact]
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public void OutlineToleranceControlsNearSymmetry()
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{
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var shape = Polygon(new Vector(0, 0), new Vector(4, 0),
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new Vector(4, 4.000001), new Vector(0, 4.000001));
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Assert.Single(RotationCandidates.DistinctOutlines(shape,
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RotationPolicy.Automatic.EnumerateAngles(), 1e-5));
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Assert.Equal(2, RotationCandidates.DistinctOutlines(shape,
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RotationPolicy.Automatic.EnumerateAngles(), 1e-8).Count);
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}
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[Fact]
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public void NonFiniteAndDuplicateAnglesAreOmitted()
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{
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Assert.Equal(new[] { 0.0 }, RotationCandidates.DistinctOutlines(Rectangle(),
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new[] { double.NaN, 0, 1e-8, 2 * System.Math.PI, double.PositiveInfinity }));
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}
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[Fact]
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public void InvalidArgumentsThrow()
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{
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Assert.Throws<ArgumentOutOfRangeException>(() =>
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RotationCandidates.ForShape(RotationPolicy.Automatic, Rectangle(), -1));
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foreach (var tolerance in new[] { 0, -1, double.NaN, double.PositiveInfinity })
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Assert.Throws<ArgumentOutOfRangeException>(() =>
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RotationCandidates.DistinctOutlines(Rectangle(), new[] { 0.0 }, tolerance));
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Assert.Throws<ArgumentNullException>(() => RotationCandidates.ForShape(null!, Rectangle()));
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Assert.Throws<ArgumentNullException>(() => RotationCandidates.ForShape(RotationPolicy.Automatic, null!));
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Assert.Throws<ArgumentException>(() => RotationCandidates.DistinctOutlines(new Shape(), new[] { 0.0 }));
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}
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private static Shape Rectangle() => Polygon(new Vector(0, 0), new Vector(4, 0),
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new Vector(4, 2), new Vector(0, 2));
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private static Shape Polygon(params Vector[] points)
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{
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var shape = new Shape();
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for (var index = 0; index < points.Length; index++)
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shape.Entities.Add(new Line(points[index], points[(index + 1) % points.Length]));
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return shape;
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}
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}
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@@ -0,0 +1,116 @@
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using OpenNest.Engine.Jobs;
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namespace OpenNest.Engine.Tests.Jobs;
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public class RotationPolicyTests
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{
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[Fact]
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public void AutomaticReturnsRightAnglesInOrder()
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{
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Assert.Equal(new[] { 0, System.Math.PI / 2, System.Math.PI, 3 * System.Math.PI / 2 },
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RotationPolicy.Automatic.EnumerateAngles());
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}
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[Fact]
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public void FixedIncludesNormalizedHalfTurnEquivalent()
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{
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var policy = RotationPolicy.Fixed(-System.Math.PI / 2, true);
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Assert.Equal(new[] { 3 * System.Math.PI / 2, System.Math.PI / 2 }, policy.EnumerateAngles(1));
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AssertLegal(policy);
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}
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[Fact]
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public void OversizedSweepEvenlySamplesGridIncludingEndpoints()
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{
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var policy = RotationPolicy.BoundedSweep(0, 1, 0.01);
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Assert.Equal(new[] { 0, 0.25, 0.5, 0.75, 1 }, policy.EnumerateAngles(5));
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AssertLegal(policy, 5);
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}
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[Fact]
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public void SubsamplingRoundsToLegalGridPoints()
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{
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var policy = RotationPolicy.BoundedSweep(0, 1, 0.1);
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var angles = policy.EnumerateAngles(4);
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Assert.Equal(4, angles.Count);
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Assert.Equal(0.3, angles[1], 10);
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Assert.Equal(0.7, angles[2], 10);
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Assert.Equal(1, angles[3]);
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AssertLegal(policy, 4);
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}
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[Fact]
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public void OffGridEndUsesLastLegalGridPoint()
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{
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var policy = RotationPolicy.BoundedSweep(0, 1, 0.3);
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Assert.Equal(0.9, policy.EnumerateAngles(2)[1], 10);
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AssertLegal(policy, 2);
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}
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[Fact]
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public void SweepEquivalentsFollowEachBaseAngleAndAreDeduplicated()
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{
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var policy = RotationPolicy.BoundedSweep(0, System.Math.PI, System.Math.PI / 2, true);
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Assert.Equal(new[] { 0, System.Math.PI, System.Math.PI / 2, 3 * System.Math.PI / 2 },
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policy.EnumerateAngles());
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AssertLegal(policy);
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}
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[Fact]
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public void SweepCrossingFullTurnNormalizesWithoutSorting()
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{
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var policy = RotationPolicy.BoundedSweep(3 * System.Math.PI / 2,
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5 * System.Math.PI / 2, System.Math.PI / 2, true);
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Assert.Equal(new[] { 3 * System.Math.PI / 2, System.Math.PI / 2, 0, System.Math.PI },
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policy.EnumerateAngles());
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AssertLegal(policy);
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}
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[Fact]
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public void FullTurnAndNearDuplicateAnglesCollapse()
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{
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Assert.Equal(4, RotationPolicy.BoundedSweep(0, 2 * System.Math.PI,
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System.Math.PI / 2).EnumerateAngles().Count);
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Assert.Single(RotationPolicy.BoundedSweep(-1e-8, 1e-8, 1e-8).EnumerateAngles());
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}
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[Fact]
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public void OneSampleReturnsTheSweepStart()
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{
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Assert.Single(RotationPolicy.BoundedSweep(0.2, 0.3, 1).EnumerateAngles(1));
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Assert.Equal(new[] { 0.0 }, RotationPolicy.BoundedSweep(0, 1, 0.5).EnumerateAngles(1));
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Assert.Equal(new[] { 0.0, System.Math.PI },
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RotationPolicy.BoundedSweep(0, 1, 0.5, true).EnumerateAngles(1));
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Assert.Equal(4, RotationPolicy.Automatic.EnumerateAngles(1).Count);
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}
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[Theory]
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[InlineData(0)]
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[InlineData(-1)]
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public void InvalidSampleCapThrows(int maxSamples)
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{
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Assert.Throws<ArgumentOutOfRangeException>(() =>
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RotationPolicy.Fixed(0).EnumerateAngles(maxSamples));
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}
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[Fact]
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public void DefaultSweepCapIs720BaseSamples()
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{
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var policy = RotationPolicy.BoundedSweep(0, 1, 0.0001, true);
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var angles = policy.EnumerateAngles();
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Assert.Equal(1440, angles.Count);
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Assert.Equal(1, angles[^2]);
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AssertLegal(policy);
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}
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private static void AssertLegal(RotationPolicy policy, int maxSamples = 720)
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{
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var angles = policy.EnumerateAngles(maxSamples);
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Assert.Equal(angles, policy.EnumerateAngles(maxSamples));
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Assert.All(angles, angle =>
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{
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Assert.True(angle >= 0 && angle < 2 * System.Math.PI);
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Assert.True(policy.Allows(angle));
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});
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}
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}
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