public void Given_a_single_segment_Should_return_valid_dcel()
{
// Arrange
var a = new TestPoint(0, 0);
var b = new TestPoint(0, 1);
var segment = new TestSegment(a, b);
// Act
var dcelFactory = new DcelFactory <TestSegment, TestPoint>(new TestSegmentComparer());
var result = dcelFactory.FromShape(new[] { segment });
// Assert Vertices
result.Vertices.Should().HaveCount(2);
var firstVertex = result.Vertices[0];
var secondVertex = result.Vertices[1];
firstVertex.OriginalPoint.Should().Be(a);
secondVertex.OriginalPoint.Should().Be(b);
// Assert HalfEdges
result.HalfEdges.Should().HaveCount(2);
var firstHalfEdge = result.HalfEdges[0];
var secondHalfEdge = result.HalfEdges[1];
firstVertex.HalfEdges.Should().ContainSingle().Which.Should().Be(firstHalfEdge);
secondVertex.HalfEdges.Should().ContainSingle().Which.Should().Be(secondHalfEdge);
firstHalfEdge.Origin.Should().Be(firstVertex);
secondHalfEdge.Origin.Should().Be(secondVertex);
firstHalfEdge.OriginalSegment.Should().Be(segment);
secondHalfEdge.OriginalSegment.Should().Be(segment);
firstHalfEdge.Twin.Should().Be(secondHalfEdge);
secondHalfEdge.Twin.Should().Be(firstHalfEdge);
firstHalfEdge.Next.Should().Be(secondHalfEdge);
firstHalfEdge.Previous.Should().Be(secondHalfEdge);
secondHalfEdge.Next.Should().Be(firstHalfEdge);
secondHalfEdge.Previous.Should().Be(firstHalfEdge);
// Assert Faces
result.Faces.Should().HaveCount(1);
var face = result.Faces.Single();
firstHalfEdge.Face.Should().Be(face);
secondHalfEdge.Face.Should().Be(face);
face.HalfEdges.Should().HaveCount(2);
face.HalfEdges.Should().Contain(new[] { firstHalfEdge, secondHalfEdge });
}
public void Given_points_considered_equal_Should_return_same_vertices()
{
// Arrange
var a = new TestPoint(0, 0);
var b = new TestPoint(0, 1);
var veryCloseToB = new TestPoint(0 + 1e-11, 1 + 1e-11);
var c = new TestPoint(0, 2);
var segmentA = new TestSegment(a, b);
var segmentB = new TestSegment(veryCloseToB, c);
// Act
var dcelFactory = new DcelFactory <TestSegment, TestPoint>(new TestSegmentComparer());
var result = dcelFactory.FromShape(new[] { segmentA, segmentB });
// Assert Vertices
result.Vertices.Should().HaveCount(3);
var vertexA = result.FindVertex(a);
var vertexB = result.FindVertex(b);
var vertexBPrime = result.FindVertex(veryCloseToB);
var vertexC = result.FindVertex(c);
vertexA.Should().NotBeNull();
vertexA !.OriginalPoint.Should().Be(a);
vertexBPrime.Should().NotBeNull();
vertexBPrime.Should().BeSameAs(vertexB);
vertexBPrime !.OriginalPoint.Should().Be(b);
vertexC.Should().NotBeNull();
vertexC !.OriginalPoint.Should().Be(c);
// Assert HalfEdges
result.HalfEdges.Should().HaveCount(4);
var halfEdgeAB = result.FindHalfEdge(a, b);
var halfEdgeBA = result.FindHalfEdge(b, a);
var halfEdgeBC = result.FindHalfEdge(b, c);
var halfEdgeCB = result.FindHalfEdge(c, b);
result.HalfEdges.Should().Contain(new[] { halfEdgeAB, halfEdgeBC, halfEdgeCB, halfEdgeBA });
halfEdgeAB.Origin.Should().Be(vertexA);
halfEdgeBA.Origin.Should().Be(vertexB);
halfEdgeBC.Origin.Should().Be(vertexB);
halfEdgeCB.Origin.Should().Be(vertexC);
// Assert Vertices
vertexA.HalfEdges.Should().ContainSingle().Which.Should().Be(halfEdgeAB);
vertexB.HalfEdges.Should().HaveCount(2);
vertexB.HalfEdges.Should().Contain(new[] { halfEdgeBA, halfEdgeBC });
vertexC.HalfEdges.Should().ContainSingle().Which.Should().Be(halfEdgeCB);
// Assert HalfEdges
halfEdgeAB.Next.Should().Be(halfEdgeBC);
halfEdgeAB.Twin.Should().Be(halfEdgeBA);
halfEdgeAB.Previous.Should().Be(halfEdgeBA);
halfEdgeAB.OriginalSegment.Should().Be(segmentA);
halfEdgeBC.Next.Should().Be(halfEdgeCB);
halfEdgeBC.Twin.Should().Be(halfEdgeCB);
halfEdgeBC.Previous.Should().Be(halfEdgeAB);
halfEdgeBC.OriginalSegment.Should().Be(segmentB);
halfEdgeCB.Next.Should().Be(halfEdgeBA);
halfEdgeCB.Twin.Should().Be(halfEdgeBC);
halfEdgeCB.Previous.Should().Be(halfEdgeBC);
halfEdgeCB.OriginalSegment.Should().Be(segmentB);
halfEdgeBA.Next.Should().Be(halfEdgeAB);
halfEdgeBA.Twin.Should().Be(halfEdgeAB);
halfEdgeBA.Previous.Should().Be(halfEdgeCB);
halfEdgeBA.OriginalSegment.Should().Be(segmentA);
// Assert Faces
var face = result.Faces.Should().ContainSingle().Subject;
face.HalfEdges.Should().HaveCount(4);
face.HalfEdges.Should().Contain(new[] { halfEdgeAB, halfEdgeBA, halfEdgeBC, halfEdgeCB });
face.HalfEdges.All(he => he.Face == face).Should().BeTrue();
}
public void Given_two_segments_Should_return_valid_dcel()
{
// Arrange
var a = new TestPoint(0, 0);
var b = new TestPoint(0, 1);
var c = new TestPoint(0, 2);
var segmentA = new TestSegment(a, b);
var segmentB = new TestSegment(b, c);
// Act
var dcelFactory = new DcelFactory <TestSegment, TestPoint>(new TestSegmentComparer());
var result = dcelFactory.FromShape(new[] { segmentA, segmentB });
// Assert Vertices
result.Vertices.Should().HaveCount(3);
result.Vertices.Select(v => v.OriginalPoint).Should().Contain(new[] { a, b, c });
var vertexA = result.Vertices.Single(v => v.OriginalPoint == a);
var vertexB = result.Vertices.Single(v => v.OriginalPoint == b);
var vertexC = result.Vertices.Single(v => v.OriginalPoint == c);
// Assert HalfEdges
result.HalfEdges.Should().HaveCount(4);
var halfEdgeAB = result.FindHalfEdge(a, b);
var halfEdgeBA = result.FindHalfEdge(b, a);
var halfEdgeBC = result.FindHalfEdge(b, c);
var halfEdgeCB = result.FindHalfEdge(c, b);
result.HalfEdges.Should().Contain(new[] { halfEdgeAB, halfEdgeBC, halfEdgeCB, halfEdgeBA });
halfEdgeAB.Origin.Should().Be(vertexA);
halfEdgeBA.Origin.Should().Be(vertexB);
halfEdgeBC.Origin.Should().Be(vertexB);
halfEdgeCB.Origin.Should().Be(vertexC);
// Assert Vertices
vertexA.HalfEdges.Should().ContainSingle().Which.Should().Be(halfEdgeAB);
vertexB.HalfEdges.Should().HaveCount(2);
vertexB.HalfEdges.Should().Contain(new[] { halfEdgeBA, halfEdgeBC });
vertexC.HalfEdges.Should().ContainSingle().Which.Should().Be(halfEdgeCB);
// Assert HalfEdges
halfEdgeAB.Next.Should().Be(halfEdgeBC);
halfEdgeAB.Twin.Should().Be(halfEdgeBA);
halfEdgeAB.Previous.Should().Be(halfEdgeBA);
halfEdgeAB.OriginalSegment.Should().Be(segmentA);
halfEdgeBC.Next.Should().Be(halfEdgeCB);
halfEdgeBC.Twin.Should().Be(halfEdgeCB);
halfEdgeBC.Previous.Should().Be(halfEdgeAB);
halfEdgeBC.OriginalSegment.Should().Be(segmentB);
halfEdgeCB.Next.Should().Be(halfEdgeBA);
halfEdgeCB.Twin.Should().Be(halfEdgeBC);
halfEdgeCB.Previous.Should().Be(halfEdgeBC);
halfEdgeCB.OriginalSegment.Should().Be(segmentB);
halfEdgeBA.Next.Should().Be(halfEdgeAB);
halfEdgeBA.Twin.Should().Be(halfEdgeAB);
halfEdgeBA.Previous.Should().Be(halfEdgeCB);
halfEdgeBA.OriginalSegment.Should().Be(segmentA);
// Assert Faces
var face = result.Faces.Should().ContainSingle().Subject;
face.HalfEdges.Should().HaveCount(4);
face.HalfEdges.Should().Contain(new[] { halfEdgeAB, halfEdgeBA, halfEdgeBC, halfEdgeCB });
face.HalfEdges.All(he => he.Face == face).Should().BeTrue();
}
public void Given_a_complex_shape_Should_return_valid_dcel()
{
// Arrange
var a = new TestPoint(-60, 0);
var b = new TestPoint(60, 0);
var c = new TestPoint(40, 40);
var d = new TestPoint(20, 80);
var e = new TestPoint(0, 120);
var f = new TestPoint(-20, 80);
var g = new TestPoint(-40, 40);
var h = new TestPoint(0, 40);
var segmentA = new TestSegment(a, b);
var segmentB = new TestSegment(b, c);
var segmentC = new TestSegment(c, d);
var segmentD = new TestSegment(d, e);
var segmentE = new TestSegment(e, f);
var segmentF = new TestSegment(f, g);
var segmentG = new TestSegment(g, h);
var segmentH = new TestSegment(d, h);
var segmentI = new TestSegment(h, c);
var segmentJ = new TestSegment(f, d);
var segmentK = new TestSegment(h, f);
var segmentL = new TestSegment(g, a);
var shape = new[]
{
segmentA, segmentB, segmentC, segmentD, segmentE, segmentF,
segmentG, segmentH, segmentI, segmentJ, segmentK, segmentL
};
var dcelFactory = new DcelFactory <TestSegment, TestPoint>(new TestSegmentComparer());
// Act
var result = dcelFactory.FromShape(shape);
// Assert Vertices
result.Vertices.Should().HaveCount(8);
result.Vertices.Select(v => v.OriginalPoint).Should().BeEquivalentTo(a, b, c, d, e, f, g, h);
var vertexA = result.Vertices.Single(v => v.OriginalPoint == a);
var vertexB = result.Vertices.Single(v => v.OriginalPoint == b);
var vertexC = result.Vertices.Single(v => v.OriginalPoint == c);
var vertexD = result.Vertices.Single(v => v.OriginalPoint == d);
var vertexE = result.Vertices.Single(v => v.OriginalPoint == e);
var vertexF = result.Vertices.Single(v => v.OriginalPoint == f);
var vertexG = result.Vertices.Single(v => v.OriginalPoint == g);
var vertexH = result.Vertices.Single(v => v.OriginalPoint == h);
// Assert HalfEdges
result.HalfEdges.Should().HaveCount(24);
var halfEdgeAB = result.FindHalfEdge(a, b);
var halfEdgeBA = result.FindHalfEdge(b, a);
var halfEdgeBC = result.FindHalfEdge(b, c);
var halfEdgeCB = result.FindHalfEdge(c, b);
var halfEdgeCD = result.FindHalfEdge(c, d);
var halfEdgeDC = result.FindHalfEdge(d, c);
var halfEdgeDE = result.FindHalfEdge(d, e);
var halfEdgeED = result.FindHalfEdge(e, d);
var halfEdgeEF = result.FindHalfEdge(e, f);
var halfEdgeFE = result.FindHalfEdge(f, e);
var halfEdgeFG = result.FindHalfEdge(f, g);
var halfEdgeGF = result.FindHalfEdge(g, f);
var halfEdgeGH = result.FindHalfEdge(g, h);
var halfEdgeHG = result.FindHalfEdge(h, g);
var halfEdgeDH = result.FindHalfEdge(d, h);
var halfEdgeHD = result.FindHalfEdge(h, d);
var halfEdgeHC = result.FindHalfEdge(h, c);
var halfEdgeCH = result.FindHalfEdge(c, h);
var halfEdgeFD = result.FindHalfEdge(f, d);
var halfEdgeDF = result.FindHalfEdge(d, f);
var halfEdgeHF = result.FindHalfEdge(h, f);
var halfEdgeFH = result.FindHalfEdge(f, h);
var halfEdgeGA = result.FindHalfEdge(g, a);
var halfEdgeAG = result.FindHalfEdge(a, g);
result.HalfEdges.Should()
.Contain(
new[]
{
halfEdgeAB,
halfEdgeBA,
halfEdgeBC,
halfEdgeCB,
halfEdgeCD,
halfEdgeDC,
halfEdgeDE,
halfEdgeED,
halfEdgeEF,
halfEdgeFE,
halfEdgeFG,
halfEdgeGF,
halfEdgeGH,
halfEdgeHG,
halfEdgeDH,
halfEdgeHD,
halfEdgeHC,
halfEdgeCH,
halfEdgeFD,
halfEdgeDF,
halfEdgeHF,
halfEdgeFH,
halfEdgeGA,
halfEdgeAG
});
halfEdgeAB.Origin.Should().Be(vertexA);
halfEdgeBA.Origin.Should().Be(vertexB);
halfEdgeBC.Origin.Should().Be(vertexB);
halfEdgeCB.Origin.Should().Be(vertexC);
halfEdgeCD.Origin.Should().Be(vertexC);
halfEdgeDC.Origin.Should().Be(vertexD);
halfEdgeDE.Origin.Should().Be(vertexD);
halfEdgeED.Origin.Should().Be(vertexE);
halfEdgeEF.Origin.Should().Be(vertexE);
halfEdgeFE.Origin.Should().Be(vertexF);
halfEdgeFG.Origin.Should().Be(vertexF);
halfEdgeGF.Origin.Should().Be(vertexG);
halfEdgeGH.Origin.Should().Be(vertexG);
halfEdgeHG.Origin.Should().Be(vertexH);
halfEdgeDH.Origin.Should().Be(vertexD);
halfEdgeHD.Origin.Should().Be(vertexH);
halfEdgeHC.Origin.Should().Be(vertexH);
halfEdgeCH.Origin.Should().Be(vertexC);
halfEdgeFD.Origin.Should().Be(vertexF);
halfEdgeDF.Origin.Should().Be(vertexD);
halfEdgeHF.Origin.Should().Be(vertexH);
halfEdgeFH.Origin.Should().Be(vertexF);
halfEdgeGA.Origin.Should().Be(vertexG);
halfEdgeAG.Origin.Should().Be(vertexA);
// Assert Vertices
vertexA.HalfEdges.Should().Contain(new[] { halfEdgeAB, halfEdgeAG });
vertexB.HalfEdges.Should().Contain(new[] { halfEdgeBC, halfEdgeBA });
vertexC.HalfEdges.Should().Contain(new[] { halfEdgeCB, halfEdgeCH, halfEdgeCD });
vertexD.HalfEdges.Should().Contain(new[] { halfEdgeDC, halfEdgeDH, halfEdgeDF, halfEdgeDE });
vertexE.HalfEdges.Should().Contain(new[] { halfEdgeED, halfEdgeEF });
vertexF.HalfEdges.Should().Contain(new[] { halfEdgeFE, halfEdgeFH, halfEdgeFD, halfEdgeFG });
vertexG.HalfEdges.Should().Contain(new[] { halfEdgeGF, halfEdgeGH, halfEdgeGA });
vertexH.HalfEdges.Should().Contain(new[] { halfEdgeHG, halfEdgeHC, halfEdgeHF, halfEdgeHD });
halfEdgeAB.Next.Should().Be(halfEdgeBC);
halfEdgeAB.Twin.Should().Be(halfEdgeBA);
halfEdgeAB.Previous.Should().Be(halfEdgeGA);
halfEdgeAB.OriginalSegment.Should().Be(segmentA);
halfEdgeBA.Next.Should().Be(halfEdgeAG);
halfEdgeBA.Twin.Should().Be(halfEdgeAB);
halfEdgeBA.Previous.Should().Be(halfEdgeCB);
halfEdgeBA.OriginalSegment.Should().Be(segmentA);
halfEdgeBC.Next.Should().Be(halfEdgeCD);
halfEdgeBC.Twin.Should().Be(halfEdgeCB);
halfEdgeBC.Previous.Should().Be(halfEdgeAB);
halfEdgeBC.OriginalSegment.Should().Be(segmentB);
halfEdgeCB.Next.Should().Be(halfEdgeBA);
halfEdgeCB.Twin.Should().Be(halfEdgeBC);
halfEdgeCB.Previous.Should().Be(halfEdgeHC);
halfEdgeCB.OriginalSegment.Should().Be(segmentB);
halfEdgeCD.Next.Should().Be(halfEdgeDE);
halfEdgeCD.Twin.Should().Be(halfEdgeDC);
halfEdgeCD.Previous.Should().Be(halfEdgeBC);
halfEdgeCD.OriginalSegment.Should().Be(segmentC);
halfEdgeDC.Next.Should().Be(halfEdgeCH);
halfEdgeDC.Twin.Should().Be(halfEdgeCD);
halfEdgeDC.Previous.Should().Be(halfEdgeHD);
halfEdgeDC.OriginalSegment.Should().Be(segmentC);
halfEdgeDE.Next.Should().Be(halfEdgeEF);
halfEdgeDE.Twin.Should().Be(halfEdgeED);
halfEdgeDE.Previous.Should().Be(halfEdgeCD);
halfEdgeDE.OriginalSegment.Should().Be(segmentD);
halfEdgeED.Next.Should().Be(halfEdgeDF);
halfEdgeED.Twin.Should().Be(halfEdgeDE);
halfEdgeED.Previous.Should().Be(halfEdgeFE);
halfEdgeED.OriginalSegment.Should().Be(segmentD);
halfEdgeEF.Next.Should().Be(halfEdgeFG);
halfEdgeEF.Twin.Should().Be(halfEdgeFE);
halfEdgeEF.Previous.Should().Be(halfEdgeDE);
halfEdgeEF.OriginalSegment.Should().Be(segmentE);
halfEdgeFE.Next.Should().Be(halfEdgeED);
halfEdgeFE.Twin.Should().Be(halfEdgeEF);
halfEdgeFE.Previous.Should().Be(halfEdgeDF);
halfEdgeFE.OriginalSegment.Should().Be(segmentE);
halfEdgeFG.Next.Should().Be(halfEdgeGA);
halfEdgeFG.Twin.Should().Be(halfEdgeGF);
halfEdgeFG.Previous.Should().Be(halfEdgeEF);
halfEdgeFG.OriginalSegment.Should().Be(segmentF);
halfEdgeGF.Next.Should().Be(halfEdgeFH);
halfEdgeGF.Twin.Should().Be(halfEdgeFG);
halfEdgeGF.Previous.Should().Be(halfEdgeHG);
halfEdgeGF.OriginalSegment.Should().Be(segmentF);
halfEdgeGH.Next.Should().Be(halfEdgeHC);
halfEdgeGH.Twin.Should().Be(halfEdgeHG);
halfEdgeGH.Previous.Should().Be(halfEdgeAG);
halfEdgeGH.OriginalSegment.Should().Be(segmentG);
halfEdgeHG.Next.Should().Be(halfEdgeGF);
halfEdgeHG.Twin.Should().Be(halfEdgeGH);
halfEdgeHG.Previous.Should().Be(halfEdgeFH);
halfEdgeHG.OriginalSegment.Should().Be(segmentG);
halfEdgeDH.Next.Should().Be(halfEdgeHF);
halfEdgeDH.Twin.Should().Be(halfEdgeHD);
halfEdgeDH.Previous.Should().Be(halfEdgeFD);
halfEdgeDH.OriginalSegment.Should().Be(segmentH);
halfEdgeHD.Next.Should().Be(halfEdgeDC);
halfEdgeHD.Twin.Should().Be(halfEdgeDH);
halfEdgeHD.Previous.Should().Be(halfEdgeCH);
halfEdgeHD.OriginalSegment.Should().Be(segmentH);
halfEdgeHC.Next.Should().Be(halfEdgeCB);
halfEdgeHC.Twin.Should().Be(halfEdgeCH);
halfEdgeHC.Previous.Should().Be(halfEdgeGH);
halfEdgeHC.OriginalSegment.Should().Be(segmentI);
halfEdgeCH.Next.Should().Be(halfEdgeHD);
halfEdgeCH.Twin.Should().Be(halfEdgeHC);
halfEdgeCH.Previous.Should().Be(halfEdgeDC);
halfEdgeCH.OriginalSegment.Should().Be(segmentI);
halfEdgeFD.Next.Should().Be(halfEdgeDH);
halfEdgeFD.Twin.Should().Be(halfEdgeDF);
halfEdgeFD.Previous.Should().Be(halfEdgeHF);
halfEdgeFD.OriginalSegment.Should().Be(segmentJ);
halfEdgeDF.Next.Should().Be(halfEdgeFE);
halfEdgeDF.Twin.Should().Be(halfEdgeFD);
halfEdgeDF.Previous.Should().Be(halfEdgeED);
halfEdgeDF.OriginalSegment.Should().Be(segmentJ);
halfEdgeHF.Next.Should().Be(halfEdgeFD);
halfEdgeHF.Twin.Should().Be(halfEdgeFH);
halfEdgeHF.Previous.Should().Be(halfEdgeDH);
halfEdgeHF.OriginalSegment.Should().Be(segmentK);
halfEdgeFH.Next.Should().Be(halfEdgeHG);
halfEdgeFH.Twin.Should().Be(halfEdgeHF);
halfEdgeFH.Previous.Should().Be(halfEdgeGF);
halfEdgeFH.OriginalSegment.Should().Be(segmentK);
halfEdgeGA.Next.Should().Be(halfEdgeAB);
halfEdgeGA.Twin.Should().Be(halfEdgeAG);
halfEdgeGA.Previous.Should().Be(halfEdgeFG);
halfEdgeGA.OriginalSegment.Should().Be(segmentL);
halfEdgeAG.Next.Should().Be(halfEdgeGH);
halfEdgeAG.Twin.Should().Be(halfEdgeGA);
halfEdgeAG.Previous.Should().Be(halfEdgeBA);
halfEdgeAG.OriginalSegment.Should().Be(segmentL);
// Assert Faces
result.Faces.Should().HaveCount(6);
var face1 = result.Faces[0];
var face2 = result.Faces[1];
var face3 = result.Faces[2];
var face4 = result.Faces[3];
var face5 = result.Faces[4];
var face6 = result.Faces[5];
face1.HalfEdges.Should().HaveCount(7);
face1.HalfEdges.All(he => he.Face == face1).Should().BeTrue();
face1.HalfEdges.Should()
.Contain(new[] { halfEdgeAB, halfEdgeBC, halfEdgeCD, halfEdgeDE, halfEdgeEF, halfEdgeFG, halfEdgeGA });
face2.HalfEdges.Should().HaveCount(5);
face2.HalfEdges.All(he => he.Face == face2).Should().BeTrue();
face2.HalfEdges.Should()
.Contain(new[] { halfEdgeAG, halfEdgeGH, halfEdgeHC, halfEdgeCB, halfEdgeBA });
face3.HalfEdges.Should().HaveCount(3);
face3.HalfEdges.All(he => he.Face == face3).Should().BeTrue();
face3.HalfEdges.Should()
.Contain(new[] { halfEdgeCH, halfEdgeHD, halfEdgeDC });
face4.HalfEdges.Should().HaveCount(3);
face4.HalfEdges.All(he => he.Face == face4).Should().BeTrue();
face4.HalfEdges.Should()
.Contain(new[] { halfEdgeFE, halfEdgeED, halfEdgeDF });
face6.HalfEdges.Should().HaveCount(3);
face6.HalfEdges.All(he => he.Face == face6).Should().BeTrue();
face6.HalfEdges.Should()
.Contain(new[] { halfEdgeFD, halfEdgeDH, halfEdgeHF });
face5.HalfEdges.Should().HaveCount(3);
face5.HalfEdges.All(he => he.Face == face5).Should().BeTrue();
face5.HalfEdges.Should()
.Contain(new[] { halfEdgeHG, halfEdgeGF, halfEdgeFH });
}
public void Given_a_shape_with_hole_Should_return_valid_dcel()
{
// Arrange
var a = new TestPoint(-60, 0);
var b = new TestPoint(60, 0);
var c = new TestPoint(40, 40);
var d = new TestPoint(-40, 40);
var e = new TestPoint(30, 10);
var f = new TestPoint(-30, 10);
var g = new TestPoint(-30, 30);
var h = new TestPoint(30, 30);
var segmentA = new TestSegment(a, b);
var segmentB = new TestSegment(b, c);
var segmentC = new TestSegment(c, d);
var segmentD = new TestSegment(d, a);
var segmentE = new TestSegment(e, f);
var segmentF = new TestSegment(f, g);
var segmentG = new TestSegment(g, h);
var segmentH = new TestSegment(h, e);
var shape = new[] { segmentA, segmentB, segmentC, segmentD, segmentE, segmentF, segmentG, segmentH };
var dcelFactory = new DcelFactory <TestSegment, TestPoint>(new TestSegmentComparer());
// Act
var result = dcelFactory.FromShape(shape);
// Assert Vertices
result.Vertices.Should().HaveCount(8);
result.Vertices.Select(v => v.OriginalPoint).Should().Contain(new[] { a, b, c, d, e, f, g, h });
var vertexA = result.Vertices.Single(v => v.OriginalPoint == a);
var vertexB = result.Vertices.Single(v => v.OriginalPoint == b);
var vertexC = result.Vertices.Single(v => v.OriginalPoint == c);
var vertexD = result.Vertices.Single(v => v.OriginalPoint == d);
var vertexE = result.Vertices.Single(v => v.OriginalPoint == e);
var vertexF = result.Vertices.Single(v => v.OriginalPoint == f);
var vertexG = result.Vertices.Single(v => v.OriginalPoint == g);
var vertexH = result.Vertices.Single(v => v.OriginalPoint == h);
// Assert HalfEdges
result.HalfEdges.Should().HaveCount(16);
var halfEdgeAB = result.FindHalfEdge(a, b);
var halfEdgeBA = result.FindHalfEdge(b, a);
var halfEdgeBC = result.FindHalfEdge(b, c);
var halfEdgeCB = result.FindHalfEdge(c, b);
var halfEdgeCD = result.FindHalfEdge(c, d);
var halfEdgeDC = result.FindHalfEdge(d, c);
var halfEdgeDA = result.FindHalfEdge(d, a);
var halfEdgeAD = result.FindHalfEdge(a, d);
var halfEdgeEF = result.FindHalfEdge(e, f);
var halfEdgeFE = result.FindHalfEdge(f, e);
var halfEdgeFG = result.FindHalfEdge(f, g);
var halfEdgeGF = result.FindHalfEdge(g, f);
var halfEdgeGH = result.FindHalfEdge(g, h);
var halfEdgeHG = result.FindHalfEdge(h, g);
var halfEdgeHE = result.FindHalfEdge(h, e);
var halfEdgeEH = result.FindHalfEdge(e, h);
result.HalfEdges.Should()
.Contain(
new[]
{
halfEdgeAB,
halfEdgeBA,
halfEdgeBC,
halfEdgeCB,
halfEdgeCD,
halfEdgeDC,
halfEdgeDA,
halfEdgeAD,
halfEdgeEF,
halfEdgeFE,
halfEdgeFG,
halfEdgeGF,
halfEdgeGH,
halfEdgeHG,
halfEdgeHE,
halfEdgeEH
});
halfEdgeAB.Origin.Should().Be(vertexA);
halfEdgeBA.Origin.Should().Be(vertexB);
halfEdgeBC.Origin.Should().Be(vertexB);
halfEdgeCB.Origin.Should().Be(vertexC);
halfEdgeCD.Origin.Should().Be(vertexC);
halfEdgeDC.Origin.Should().Be(vertexD);
halfEdgeDA.Origin.Should().Be(vertexD);
halfEdgeAD.Origin.Should().Be(vertexA);
halfEdgeEF.Origin.Should().Be(vertexE);
halfEdgeFE.Origin.Should().Be(vertexF);
halfEdgeFG.Origin.Should().Be(vertexF);
halfEdgeGF.Origin.Should().Be(vertexG);
halfEdgeGH.Origin.Should().Be(vertexG);
halfEdgeHG.Origin.Should().Be(vertexH);
halfEdgeHE.Origin.Should().Be(vertexH);
halfEdgeEH.Origin.Should().Be(vertexE);
// Assert Vertices
foreach (var vertex in result.Vertices)
{
vertex.HalfEdges.Should().HaveCount(2);
}
vertexA.HalfEdges.Should().Contain(new[] { halfEdgeAB, halfEdgeAD });
vertexB.HalfEdges.Should().Contain(new[] { halfEdgeBA, halfEdgeBC });
vertexC.HalfEdges.Should().Contain(new[] { halfEdgeCD, halfEdgeCB });
vertexD.HalfEdges.Should().Contain(new[] { halfEdgeDC, halfEdgeDA });
vertexE.HalfEdges.Should().Contain(new[] { halfEdgeEF, halfEdgeEH });
vertexF.HalfEdges.Should().Contain(new[] { halfEdgeFG, halfEdgeFE });
vertexG.HalfEdges.Should().Contain(new[] { halfEdgeGH, halfEdgeGF });
vertexH.HalfEdges.Should().Contain(new[] { halfEdgeHG, halfEdgeHE });
// Assert HalfEdges
halfEdgeAB.Next.Should().Be(halfEdgeBC);
halfEdgeAB.Twin.Should().Be(halfEdgeBA);
halfEdgeAB.Previous.Should().Be(halfEdgeDA);
halfEdgeAB.OriginalSegment.Should().Be(segmentA);
halfEdgeBA.Next.Should().Be(halfEdgeAD);
halfEdgeBA.Twin.Should().Be(halfEdgeAB);
halfEdgeBA.Previous.Should().Be(halfEdgeCB);
halfEdgeBA.OriginalSegment.Should().Be(segmentA);
halfEdgeBC.Next.Should().Be(halfEdgeCD);
halfEdgeBC.Twin.Should().Be(halfEdgeCB);
halfEdgeBC.Previous.Should().Be(halfEdgeAB);
halfEdgeBC.OriginalSegment.Should().Be(segmentB);
halfEdgeCB.Next.Should().Be(halfEdgeBA);
halfEdgeCB.Twin.Should().Be(halfEdgeBC);
halfEdgeCB.Previous.Should().Be(halfEdgeDC);
halfEdgeCB.OriginalSegment.Should().Be(segmentB);
halfEdgeDA.Next.Should().Be(halfEdgeAB);
halfEdgeDA.Twin.Should().Be(halfEdgeAD);
halfEdgeDA.Previous.Should().Be(halfEdgeCD);
halfEdgeDA.OriginalSegment.Should().Be(segmentD);
halfEdgeEF.Next.Should().Be(halfEdgeFG);
halfEdgeEF.Twin.Should().Be(halfEdgeFE);
halfEdgeEF.Previous.Should().Be(halfEdgeHE);
halfEdgeEF.OriginalSegment.Should().Be(segmentE);
halfEdgeFE.Next.Should().Be(halfEdgeEH);
halfEdgeFE.Twin.Should().Be(halfEdgeEF);
halfEdgeFE.Previous.Should().Be(halfEdgeGF);
halfEdgeFE.OriginalSegment.Should().Be(segmentE);
halfEdgeFG.Next.Should().Be(halfEdgeGH);
halfEdgeFG.Twin.Should().Be(halfEdgeGF);
halfEdgeFG.Previous.Should().Be(halfEdgeEF);
halfEdgeFG.OriginalSegment.Should().Be(segmentF);
halfEdgeGF.Next.Should().Be(halfEdgeFE);
halfEdgeGF.Twin.Should().Be(halfEdgeFG);
halfEdgeGF.Previous.Should().Be(halfEdgeHG);
halfEdgeGF.OriginalSegment.Should().Be(segmentF);
halfEdgeGH.Next.Should().Be(halfEdgeHE);
halfEdgeGH.Twin.Should().Be(halfEdgeHG);
halfEdgeGH.Previous.Should().Be(halfEdgeFG);
halfEdgeGH.OriginalSegment.Should().Be(segmentG);
halfEdgeHG.Next.Should().Be(halfEdgeGF);
halfEdgeHG.Twin.Should().Be(halfEdgeGH);
halfEdgeHG.Previous.Should().Be(halfEdgeEH);
halfEdgeHG.OriginalSegment.Should().Be(segmentG);
halfEdgeHE.Next.Should().Be(halfEdgeEF);
halfEdgeHE.Twin.Should().Be(halfEdgeEH);
halfEdgeHE.Previous.Should().Be(halfEdgeGH);
halfEdgeHE.OriginalSegment.Should().Be(segmentH);
// Assert Faces
result.Faces.Should().HaveCount(4);
var face1 = result.Faces[0];
var face2 = result.Faces[1];
var face3 = result.Faces[2];
var face4 = result.Faces[3];
face1.HalfEdges.Should().HaveCount(4);
face1.HalfEdges.All(he => he.Face == face1).Should().BeTrue();
face1.HalfEdges.Should().Contain(new[] { halfEdgeAB, halfEdgeBC, halfEdgeCD, halfEdgeDA });
face3.HalfEdges.Should().HaveCount(4);
face3.HalfEdges.All(he => he.Face == face3).Should().BeTrue();
face3.HalfEdges.Should().Contain(new[] { halfEdgeEF, halfEdgeFG, halfEdgeGH, halfEdgeHE });
face2.HalfEdges.Should().HaveCount(4);
face2.HalfEdges.All(he => he.Face == face2).Should().BeTrue();
face2.HalfEdges.Should().Contain(new[] { halfEdgeBA, halfEdgeAD, halfEdgeDC, halfEdgeCB });
face4.HalfEdges.Should().HaveCount(4);
face4.HalfEdges.All(he => he.Face == face4).Should().BeTrue();
face4.HalfEdges.Should().Contain(new[] { halfEdgeFE, halfEdgeEH, halfEdgeHG, halfEdgeGF });
}
public void Given_a_right_triangle_Should_return_valid_dcel()
{
// Arrange
var a = new TestPoint(-1, 2);
var b = new TestPoint(4, 3);
var c = new TestPoint(5, -2);
var segmentA = new TestSegment(a, b);
var segmentB = new TestSegment(b, c);
var segmentC = new TestSegment(c, a);
var triangle = new[] { segmentA, segmentB, segmentC };
var dcelFactory = new DcelFactory <TestSegment, TestPoint>(new TestSegmentComparer());
// Act
var result = dcelFactory.FromShape(triangle);
// Assert Vertices
result.Vertices.Should().HaveCount(3);
result.Vertices.Select(v => v.OriginalPoint).Should().Contain(new[] { a, b, c });
var vertexA = result.Vertices.Single(v => v.OriginalPoint == a);
var vertexB = result.Vertices.Single(v => v.OriginalPoint == b);
var vertexC = result.Vertices.Single(v => v.OriginalPoint == c);
// Assert HalfEdges
result.HalfEdges.Should().HaveCount(6);
var halfEdgeAB = result.FindHalfEdge(a, b);
var halfEdgeBA = result.FindHalfEdge(b, a);
var halfEdgeBC = result.FindHalfEdge(b, c);
var halfEdgeCB = result.FindHalfEdge(c, b);
var halfEdgeCA = result.FindHalfEdge(c, a);
var halfEdgeAC = result.FindHalfEdge(a, c);
result.HalfEdges
.Should()
.Contain(new[] { halfEdgeAB, halfEdgeBA, halfEdgeBC, halfEdgeCB, halfEdgeCA, halfEdgeAC });
halfEdgeAB.Origin.Should().Be(vertexA);
halfEdgeBA.Origin.Should().Be(vertexB);
halfEdgeBC.Origin.Should().Be(vertexB);
halfEdgeCB.Origin.Should().Be(vertexC);
halfEdgeCA.Origin.Should().Be(vertexC);
halfEdgeAC.Origin.Should().Be(vertexA);
// Assert Vertices
foreach (var vertex in result.Vertices)
{
vertex.HalfEdges.Should().HaveCount(2);
}
vertexA.HalfEdges.Should().Contain(new[] { halfEdgeAB, halfEdgeAC });
vertexB.HalfEdges.Should().Contain(new[] { halfEdgeBA, halfEdgeBC });
vertexC.HalfEdges.Should().Contain(new[] { halfEdgeCB, halfEdgeCA });
// Assert HalfEdges
halfEdgeAB.Next.Should().Be(halfEdgeBC);
halfEdgeAB.Twin.Should().Be(halfEdgeBA);
halfEdgeAB.Previous.Should().Be(halfEdgeCA);
halfEdgeAB.OriginalSegment.Should().Be(segmentA);
halfEdgeBC.Next.Should().Be(halfEdgeCA);
halfEdgeBC.Twin.Should().Be(halfEdgeCB);
halfEdgeBC.Previous.Should().Be(halfEdgeAB);
halfEdgeBC.OriginalSegment.Should().Be(segmentB);
halfEdgeCA.Next.Should().Be(halfEdgeAB);
halfEdgeCA.Twin.Should().Be(halfEdgeAC);
halfEdgeCA.Previous.Should().Be(halfEdgeBC);
halfEdgeCA.OriginalSegment.Should().Be(segmentC);
// Assert Faces
result.Faces.Should().HaveCount(2);
var face1 = result.Faces[0];
var face2 = result.Faces[1];
face1.HalfEdges.Should().HaveCount(3);
face1.HalfEdges.All(he => he.Face == face1).Should().BeTrue();
face1.HalfEdges.Should().Contain(new[] { halfEdgeAB, halfEdgeBC, halfEdgeCA });
face2.HalfEdges.Should().HaveCount(3);
face2.HalfEdges.All(he => he.Face == face2).Should().BeTrue();
face2.HalfEdges.Should().Contain(new[] { halfEdgeAC, halfEdgeCB, halfEdgeBA });
}
public void Given_two_disjoint_segments_Should_return_valid_dcel()
{
// Arrange
var a = new TestPoint(-10, 5);
var b = new TestPoint(-2, 3);
var c = new TestPoint(2, 3);
var d = new TestPoint(10, 4);
var segmentA = new TestSegment(a, b);
var segmentB = new TestSegment(c, d);
var shape = new[] { segmentA, segmentB };
var dcelFactory = new DcelFactory <TestSegment, TestPoint>(new TestSegmentComparer());
// Act
var actualDcel = dcelFactory.FromShape(shape);
// Assert Vertices
actualDcel.Vertices.Should().HaveCount(4);
actualDcel.Vertices.Select(v => v.OriginalPoint).Should().Contain(new [] { a, b, c, d });
var vertexA = actualDcel.Vertices.Single(v => v.OriginalPoint == a);
var vertexB = actualDcel.Vertices.Single(v => v.OriginalPoint == b);
var vertexC = actualDcel.Vertices.Single(v => v.OriginalPoint == c);
var vertexD = actualDcel.Vertices.Single(v => v.OriginalPoint == d);
// Assert HalfEdges
actualDcel.HalfEdges.Should().HaveCount(4);
var halfEdgeAB = actualDcel.FindHalfEdge(a, b);
var halfEdgeBA = actualDcel.FindHalfEdge(b, a);
var halfEdgeCD = actualDcel.FindHalfEdge(c, d);
var halfEdgeDC = actualDcel.FindHalfEdge(d, c);
actualDcel.HalfEdges.Should().Contain(new[] { halfEdgeAB, halfEdgeBA, halfEdgeCD, halfEdgeDC });
halfEdgeAB.Origin.Should().Be(vertexA);
halfEdgeBA.Origin.Should().Be(vertexB);
halfEdgeCD.Origin.Should().Be(vertexC);
halfEdgeDC.Origin.Should().Be(vertexD);
// Assert Vertices
foreach (var vertex in actualDcel.Vertices)
{
vertex.HalfEdges.Should().HaveCount(1);
}
vertexA.HalfEdges.Should().ContainSingle().Which.Should().Be(halfEdgeAB);
vertexB.HalfEdges.Should().ContainSingle().Which.Should().Be(halfEdgeBA);
vertexC.HalfEdges.Should().ContainSingle().Which.Should().Be(halfEdgeCD);
vertexD.HalfEdges.Should().ContainSingle().Which.Should().Be(halfEdgeDC);
// Assert HalfEdges
halfEdgeAB.Next.Should().Be(halfEdgeBA);
halfEdgeAB.Twin.Should().Be(halfEdgeBA);
halfEdgeAB.Previous.Should().Be(halfEdgeBA);
halfEdgeAB.OriginalSegment.Should().Be(segmentA);
halfEdgeCD.Next.Should().Be(halfEdgeDC);
halfEdgeCD.Twin.Should().Be(halfEdgeDC);
halfEdgeCD.Previous.Should().Be(halfEdgeDC);
halfEdgeCD.OriginalSegment.Should().Be(segmentB);
// Assert Faces
actualDcel.Faces.Should().HaveCount(2);
var face1 = actualDcel.Faces[0];
var face2 = actualDcel.Faces[1];
face1.HalfEdges.Should().HaveCount(2);
face1.HalfEdges.All(he => he.Face == face1).Should().BeTrue();
face1.HalfEdges.Should().Contain(new [] { halfEdgeAB, halfEdgeBA });
face2.HalfEdges.Should().HaveCount(2);
face2.HalfEdges.All(he => he.Face == face2).Should().BeTrue();
face2.HalfEdges.Should().Contain(new[] { halfEdgeCD, halfEdgeDC });
}
