public Colors this[CubieFace face]
{
get
{
return(this.GetF(face));
}
}
public static void Check(this CubieFace face)
{
face.Cubie.CheckNonZero();
face.Face.CheckUnit();
face.Cubie.CheckParallel(face.Face);
}
public static Arrow ReOrient(this CubieFace face, Arrow direction)
{
face.Check(direction);
if (face.Cubie.Dot(direction) > 0)
{
return(face.Face.Negate());
}
return(direction);
}
public static CubieFace Neighbour(this CubieFace face, Arrow direction)
{
face.Check(direction);
if (face.Cubie.Dot(direction) > 0)
{
return(new CubieFace(face.Cubie, direction));
}
var cubie = face.Cubie.Add(direction);
return(new CubieFace(cubie, face.Face));
}
public static CubieFace Follow(this CubieFace face, Arrow direction, params uint[] turns)
{
foreach (var turn in turns)
{
var neighbour = face.Neighbour(direction);
var next = face.ReOrient(direction);
var turned = neighbour.ReOrient(next, turn);
face = neighbour;
direction = turned;
}
return(face);
}
public static CubieFace FollowDirections(CubieFace result, Arrow direction)
{
foreach (var _ in Enumerable.Repeat <object>(null, 12))
{
var next = result.Neighbour(direction);
Console.WriteLine(string.Format("{0} : {1} -> {2} = {3} : {4}", result.Cubie, result.Face, direction, next.Cubie, next.Face));
direction = result.ReOrient(direction);
result = next;
}
Console.ReadLine();
return(result);
}
public static void Check(this CubieFace face, Arrow direction)
{
direction.CheckUnit();
face.Face.CheckPerpendicular(direction);
}
public static CubieFace Loop(this CubieFace face, Arrow direction)
{
return(face.Follow(direction, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0));
}
public static Arrow ReOrient(this CubieFace face, Arrow direction, uint turn)
{
return(face.Face.Rotate().Power(turn).Morph(direction));
}
public static void Main(string[] args)
{
//foreach (var matrix in Matrices())
//{
// Console.WriteLine(string.Format("{0}", matrix.Determinant()));
//}
//Console.ReadLine();
foreach (var cubie in Arrows())
{
foreach (var face in Basis().Where(_ => cubie.Dot(_) == 1))
{
foreach (var direction in Basis().Where(_ => face.Dot(_) == 0))
{
CubieFace result = new CubieFace(cubie, face);
Console.WriteLine(string.Format("{0} -> {1} = {2}", result, direction, result.Loop(direction)));
}
}
}
Console.ReadLine();
foreach (var first in Arrows())
{
foreach (var second in Basis())
{
var cross = second.Rotate().Morph(first);
Console.WriteLine(string.Format("{0} x {1} = {2}", first, second, cross));
if (first.Magnitude() * second.Magnitude() == cross.Magnitude())
{
Console.WriteLine(string.Format("{0} * {1} = {2} Ok", first.Magnitude(), second.Magnitude(), cross.Magnitude()));
}
else
{
Console.WriteLine(string.Format("{0} * {1} = {2}", first.Magnitude(), second.Magnitude(), cross.Magnitude()));
}
}
}
Console.ReadLine();
foreach (var face in Basis())
{
foreach (var cubie in Arrows())
{
var rotated = face.Rotate().Power(4).Morph(cubie);
Console.WriteLine(string.Format("{0} ~> {1} = {2}", cubie, face, rotated));
}
}
Console.ReadLine();
uint count = 0;
foreach (var cubie in Arrows())
{
foreach (var face in Basis().Where(_ => cubie.Dot(_) == 1))
{
Console.WriteLine(string.Format("{0} : {1}", cubie, face));
count++;
}
}
Console.WriteLine("Faces: " + count);
Console.ReadLine();
foreach (var cubie in Arrows())
{
foreach (var face in Basis().Where(_ => cubie.Dot(_) == 1))
{
foreach (var direction in Basis().Where(_ => face.Dot(_) == 0))
{
CubieFace result = new CubieFace(cubie, face);
FollowDirections(result, direction);
}
}
}
Console.ReadLine();
foreach (var arrow in Arrows())
{
Console.Write(arrow);
foreach (var direction in Basis().Where(_ => arrow.Dot(_) == 0))
{
Console.WriteLine(" -> " + arrow);
}
Console.WriteLine(arrow);
}
Console.ReadLine();
}