/// <summary>
/// Transforms us into a new macro based on a different click location.
/// </summary>
public Macro Transform(Cell clickedCell, Vector3D clickedPoint, Puzzle puzzle, bool mouseMotionReflected)
{
Macro m = this.CloneAllButTwists();
m.SetupMobius(clickedCell, clickedPoint, puzzle, mouseMotionReflected);
// Did we have an odd number of view reflections?
bool viewReflected = this.ViewReflected ^ m.ViewReflected;
Isometry iso1 = new Isometry(m.Mobius, null);
Isometry iso2 = new Isometry(this.Mobius, null);
if (viewReflected)
{
iso1 = Isometry.ReflectX() * iso1;
}
Isometry combined = iso1.Inverse() * iso2;
foreach (SingleTwist t in this.m_twists)
{
// Find the transformed twist data.
// NOTE: We choose the one which will be closest to the origin after transformation,
// which hopefully won't lead to performance problems.
// I initially just used the first TwistDataForStateCalcs list item,
// but that led to issues because sometimes it would get transformed
// to very near the disk boundary. We'd have run out of cells to
// find the correct closest, and the transformed macros got all messed up.
TwistData tdOriginal = t.IdentifiedTwistData.TwistDataForStateCalcs
.OrderBy(td => combined.Apply(td.Center).MagSquared())
.First();
Vector3D newCenter = combined.Apply(tdOriginal.Center);
TwistData tdNew = puzzle.ClosestTwistingCircles(newCenter);
SingleTwist tClone = t.Clone();
tClone.IdentifiedTwistData = tdNew.IdentifiedTwistData;
// If the reverse state of our transformed twist
// has changed, we may need to reverse the new twist.
bool reverse = tdOriginal.Reverse ^ tdNew.Reverse;
if (reverse ^ viewReflected) // NOTE: Very similar to code in Renderer.
{
tClone.ReverseTwist();
}
m.m_twists.Add(tClone);
}
return(m);
}
/// <summary>
/// Get a distribution of points on a sphere.
/// The points are the vertices of a geodesic dome.
/// </summary>
private static Vector3D[] SpherePoints()
{
List <Vector3D> spherePoints = new List <Vector3D>();
TilingConfig config = new TilingConfig(3, 5);
Tiling tiling = new Tiling();
tiling.GenerateInternal(config);
Tile baseTile = tiling.Tiles.First();
Vector3D[] templateTextureCoords = TextureHelper.TextureCoords(baseTile.Boundary, Geometry.Spherical, doGeodesicDome: true);
foreach (Tile tile in tiling.Tiles)
{
Isometry isom = new Isometry();
isom.CalculateFromTwoPolygons(baseTile, tile, Geometry.Spherical);
Vector3D[] textureCoords = Isometry.TransformVertices(templateTextureCoords, isom.Inverse());
spherePoints.AddRange(textureCoords);
}
return(spherePoints.Select(p => H3Models.UHSToBall(p)).Distinct().ToArray());
}