private static Isometry SetupIsometry(Cell clickedCell, Vector3D clickedPoint, Puzzle puzzle)
{
int p = puzzle.Config.P;
Geometry g = puzzle.Config.Geometry;
Isometry cellIsometry = clickedCell.Isometry.Clone();
// Take out reflections.
// ZZZ - Figuring out how to deal with these reflected isometries was a bit painful to figure out.
// I wish I had just taken more care to not have any cell isometries with reflections.
// Maybe I can rework that to be different at some point.
if (cellIsometry.Reflection != null)
{
cellIsometry = Isometry.ReflectX() * cellIsometry;
}
// Round to nearest vertex.
Vector3D centered = cellIsometry.Apply(clickedPoint);
double angle = Euclidean2D.AngleToCounterClock(centered, new Vector3D(1, 0));
double angleFromZeroToP = p * angle / (2 * Math.PI);
angleFromZeroToP = Math.Round(angleFromZeroToP, 0);
if (p == (int)angleFromZeroToP)
{
angleFromZeroToP = 0;
}
angle = 2 * Math.PI * angleFromZeroToP / p;
// This will take vertex to canonical position.
Mobius rotation = new Mobius();
rotation.Isometry(g, angle, new Complex());
Isometry rotIsometry = new Isometry(rotation, null);
return(rotIsometry * cellIsometry);
}
/// <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);
}