public static ScalarField <Face> XDependentScalarField(IPolyhedron polyhedron, double average, double deviation)
{
var normals = FaceIndexedTableFactory.Normals(polyhedron);
var values = polyhedron.Faces.Select(face => average + deviation * normals[polyhedron.IndexOf(face)][0]).ToArray();
return(new ScalarField <Face>(polyhedron.IndexOf, values));
}
public void Areas_OnACube_ShouldCalculateTheCorrectAreas
(IPolyhedron polyhedron)
{
// Fixture setup
var correctArea = 4.0;
var expected = Enumerable.Repeat(correctArea, 6).ToList();
// Exercise system
var actual = FaceIndexedTableFactory.Areas(polyhedron);
// Verify outcome
TestUtilities.WriteExpectedAndActual(expected, actual);
Assert.True(TestUtilities.UnorderedEquals(expected, actual, TestUtilities.RelativeAccuracy));
// Teardown
}
public void EdgeLengths_OnACube_ShouldCreateSixListsOfFourElements
(IPolyhedron polyhedron)
{
// Fixture setup
var expected = Enumerable.Repeat(4, 6).ToList();
// Exercise system
var edgeLengths = FaceIndexedTableFactory.EdgeLengths(polyhedron);
var actual = edgeLengths.Select(list => list.Count()).ToList();
// Verify outcome
TestUtilities.WriteExpectedAndActual(expected, actual);
Assert.True(TestUtilities.UnorderedEquals(expected, actual));
// Teardown
}
public void AreasInEachVertex_OnACube_ShouldAllBeCorrect
(IPolyhedron polyhedron)
{
// Fixture setup
var expected = Enumerable.Repeat(1.0, 24).ToList();
// Exercise system
var areas = FaceIndexedTableFactory.AreaInEachVertex(polyhedron);
// Verify outcome
var actual = areas.SelectMany(listOfAreas => listOfAreas).ToList();
TestUtilities.WriteExpectedAndActual(expected, actual);
Assert.True(TestUtilities.UnorderedEquals(expected, actual, TestUtilities.RelativeAccuracy));
// Teardown
}
public void Neighbours_OnACube_ShouldHaveEachIndexAppearFourTimesTotal
(IPolyhedron polyhedron)
{
// Fixture setup
var expected = Enumerable.Repeat(Enumerable.Range(0, 6), 4).SelectMany(list => list).ToList();
// Exercise system
var neighbours = FaceIndexedTableFactory.Neighbours(polyhedron);
var actual = neighbours.SelectMany(list => list).ToList();
// Verify outcome
TestUtilities.WriteExpectedAndActual(expected, actual);
Assert.True(TestUtilities.UnorderedEquals(expected, actual));
// Teardown
}
public void EdgeLengths_OnACube_ShouldCalculateTheCorrectLengths
(IPolyhedron polyhedron)
{
// Fixture setup
var correctLength = Math.Sqrt(3) * Trig.InverseCosine(1.0 / 3.0);
var expected = Enumerable.Repeat(correctLength, 24).ToList();
// Exercise system
var edgeLengths = FaceIndexedTableFactory.EdgeLengths(polyhedron);
var actual = edgeLengths.SelectMany(list => list).ToList();
// Verify outcome
TestUtilities.WriteExpectedAndActual(expected, actual);
Assert.True(TestUtilities.UnorderedEquals(expected, actual, TestUtilities.RelativeAccuracy));
// Teardown
}
public void Distances_OnACube_ShouldCalculateTheCorrectDistances
(IPolyhedron polyhedron)
{
// Fixture setup
var correctDistance = Math.Sqrt(3) * Math.PI / 2;
var expected = Enumerable.Repeat(correctDistance, 24).ToList();
// Exercise system
var distances = FaceIndexedTableFactory.Distances(polyhedron);
var actual = distances.SelectMany(list => list).ToList();
// Verify outcome
TestUtilities.WriteExpectedAndActual(expected, actual);
Assert.True(TestUtilities.UnorderedEquals(expected, actual, TestUtilities.RelativeAccuracy));
// Teardown
}
public void Neighbours_OnACube_ShouldBeCommutative
(IPolyhedron polyhedron)
{
// Fixture setup
// Exercise system
var neighbourTable = FaceIndexedTableFactory.Neighbours(polyhedron);
// Verify outcome
for (int face = 0; face < neighbourTable.Length; face++)
{
foreach (var neighbour in neighbourTable[face])
{
Assert.Contains(face, neighbourTable[neighbour]);
}
}
// Teardown
}
public void Vertices_ShouldBeCorrectIndices
(IPolyhedron polyhedron)
{
// Fixture setup
// Exercise system
var vertexIndices = FaceIndexedTableFactory.Vertices(polyhedron);
// Verify outcome
for (int i = 0; i < polyhedron.Faces.Count; i++)
{
var face = polyhedron.Faces[i];
var expected = face.Vertices;
var actual = vertexIndices[i].Select(j => polyhedron.Vertices[j]).ToList();
TestUtilities.WriteExpectedAndActual(expected, actual);
Assert.True(Enumerable.SequenceEqual(expected, actual));
}
// Teardown
}
public void Directions_OfTheTopFaceOfACube_ShouldCalculateTheCorrectDirections
(IPolyhedron polyhedron)
{
// Fixture setup
var expected = new List <Vector>
{
VectorUtilities.NewVector(1, 0, 0),
VectorUtilities.NewVector(-1, 0, 0),
VectorUtilities.NewVector(0, 1, 0),
VectorUtilities.NewVector(0, -1, 0)
};
// Exercise system
var topFace = polyhedron.Faces.First(face => face.Vertices.All(vertex => vertex.Position[2] > 0.5));
var actual = FaceIndexedTableFactory.Directions(polyhedron)[polyhedron.Faces.IndexOf(topFace)];
// Verify outcome
TestUtilities.WriteExpectedAndActual(expected, actual);
Assert.True(TestUtilities.UnorderedEquals(expected, actual, TestUtilities.RelativeAccuracy));
// Teardown
}
public void Neighbours_OnACube_ShouldListNeighboursInAnticlockwiseOrder
(IPolyhedron polyhedron)
{
// Fixture setup
// Exercise system
var neighbourTable = FaceIndexedTableFactory.Neighbours(polyhedron);
// Verify outcome
for (int i = 0; i < neighbourTable.Length; i++)
{
var centerOfFace = polyhedron.Faces[i].SphericalCenter();
var viewVector = -centerOfFace.Normalize();
var neighbours = neighbourTable[i].Select(index => polyhedron.Faces[index]);
var centersOfNeighbours = neighbours.Select(neighbour => neighbour.SphericalCenter()).ToList();
Assert.True(TestUtilities.AreInAntiClockwiseOrder(centersOfNeighbours, centerOfFace, viewVector));
}
// Teardown
}
public void Normals_OnACube_ShouldCalculateTheCorrectNormals
(IPolyhedron polyhedron)
{
// Fixture setup
var expected = new List <Vector>
{
VectorUtilities.NewVector(1, 0, 0),
VectorUtilities.NewVector(-1, 0, 0),
VectorUtilities.NewVector(0, 1, 0),
VectorUtilities.NewVector(0, -1, 0),
VectorUtilities.NewVector(0, 0, 1),
VectorUtilities.NewVector(0, 0, -1)
};
// Exercise system
var actual = FaceIndexedTableFactory.Normals(polyhedron);
// Verify outcome
TestUtilities.WriteExpectedAndActual(expected, actual);
Assert.True(TestUtilities.UnorderedEquals(expected, actual, TestUtilities.RelativeAccuracy));
// Teardown
}