public void Test_UVWFace()
{
// Check that GetUVWFace is consistent with GetUVWAxis.
for (int face = 0; face < 6; ++face)
{
for (int axis = 0; axis < 3; ++axis)
{
Assert.Equal(S2.GetFace(-S2.GetUVWAxis(face, axis)),
S2.GetUVWFace(face, axis, 0));
Assert.Equal(S2.GetFace(S2.GetUVWAxis(face, axis)),
S2.GetUVWFace(face, axis, 1));
}
}
}
public void Test_GetCrossingCandidates_PerturbedCubeFaceAxes()
{
List <(S2Point, S2Point)> edges = new();
for (int iter = 0; iter < 5; ++iter)
{
int face = S2Testing.Random.Uniform(6);
double scale = Math.Pow(S2.DoubleError, S2Testing.Random.RandDouble());
S2Point axis = S2.GetUVWAxis(face, S2Testing.Random.Uniform(2));
S2Point a0 = scale * axis + S2.GetNorm(face);
S2Point b0 = scale * axis - S2.GetNorm(face);
GetPerturbedSubEdges(a0, b0, 30, edges);
TestAllCrossings(edges);
}
}
public void Test_UVWAxis()
{
for (int face = 0; face < 6; ++face)
{
// Check that axes are consistent with FaceUVtoXYZ.
Assert.Equal(S2.FaceUVtoXYZ(face, 1, 0) - S2.FaceUVtoXYZ(face, 0, 0),
S2.GetUAxis(face));
Assert.Equal(S2.FaceUVtoXYZ(face, 0, 1) - S2.FaceUVtoXYZ(face, 0, 0),
S2.GetVAxis(face));
Assert.Equal(S2.FaceUVtoXYZ(face, 0, 0), S2.GetNorm(face));
// Check that every face coordinate frame is right-handed.
Assert.Equal(1, S2.GetUAxis(face).CrossProd(S2.GetVAxis(face))
.DotProd(S2.GetNorm(face)));
// Check that GetUVWAxis is consistent with GetUAxis, GetVAxis, GetNorm.
Assert.Equal(S2.GetUAxis(face), S2.GetUVWAxis(face, 0));
Assert.Equal(S2.GetVAxis(face), S2.GetUVWAxis(face, 1));
Assert.Equal(S2.GetNorm(face), S2.GetUVWAxis(face, 2));
}
}
