public void Test_S2Cap_AddNonEmptyCapToEmptyCap()
{
S2Cap empty = S2Cap.Empty;
S2Cap non_empty_cap = new(new S2Point(1, 0, 0), S1Angle.FromDegrees(10));
empty = empty.AddCap(non_empty_cap);
Assert.Equal(non_empty_cap.Area(), empty.Area());
}
public void Test_S2Cap_GetCentroid()
{
// Empty and full caps.
Assert.Equal(new S2Point(), S2Cap.Empty.Centroid());
Assert.True(S2Cap.Full.Centroid().Norm() <= S2.DoubleError);
// Random caps.
for (int i = 0; i < 100; ++i)
{
S2Point center = S2Testing.RandomPoint();
double height = S2Testing.Random.UniformDouble(0.0, 2.0);
S2Cap cap = S2Cap.FromCenterHeight(center, height);
S2Point centroid = cap.Centroid();
S2Point expected = center * (1.0 - height / 2.0) * cap.Area();
Assert.True((expected - centroid).Norm() <= S2.DoubleError);
}
}
