*real* start to hex coordinates
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@ -13,7 +13,6 @@ class DistanceAlgorithm(Enum):
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CHEBYSHEV = 2
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CHESSBOARD = 2
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@dataclass(frozen=True)
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class Coordinate:
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x: int
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@ -154,25 +153,25 @@ class Coordinate:
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steps = gcd(diff.x, diff.y)
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step_x = diff.x // steps
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step_y = diff.y // steps
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return [Coordinate(self.x + step_x * i, self.y + step_y * i) for i in range(steps + 1)]
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return [self.__class__(self.x + step_x * i, self.y + step_y * i) for i in range(steps + 1)]
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else:
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steps = gcd(diff.x, diff.y, diff.z)
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step_x = diff.x // steps
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step_y = diff.y // steps
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step_z = diff.z // steps
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return [Coordinate(self.x + step_x * i, self.y + step_y * i, self.z + step_z * i) for i in range(steps + 1)]
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return [self.__class__(self.x + step_x * i, self.y + step_y * i, self.z + step_z * i) for i in range(steps + 1)]
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def __add__(self, other: Coordinate) -> Coordinate:
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if self.z is None:
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return Coordinate(self.x + other.x, self.y + other.y)
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return self.__class__(self.x + other.x, self.y + other.y)
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else:
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return Coordinate(self.x + other.x, self.y + other.y, self.z + other.z)
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return self.__class__(self.x + other.x, self.y + other.y, self.z + other.z)
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def __sub__(self, other: Coordinate) -> Coordinate:
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if self.z is None:
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return Coordinate(self.x - other.x, self.y - other.y)
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return self.__class__(self.x - other.x, self.y - other.y)
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else:
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return Coordinate(self.x - other.x, self.y - other.y, self.z - other.z)
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return self.__class__(self.x - other.x, self.y - other.y, self.z - other.z)
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def __eq__(self, other):
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return self.x == other.x and self.y == other.y and self.z == other.z
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@ -217,16 +216,80 @@ class Coordinate:
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def generate(from_x: int, to_x: int, from_y: int, to_y: int,
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from_z: int = None, to_z: int = None) -> List[Coordinate]:
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if from_z is None or to_z is None:
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return [Coordinate(x, y) for x in range(from_x, to_x + 1) for y in range(from_y, to_y + 1)]
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return [self.__class__(x, y) for x in range(from_x, to_x + 1) for y in range(from_y, to_y + 1)]
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else:
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return [
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Coordinate(x, y, z)
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self.__class__(x, y, z)
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for x in range(from_x, to_x + 1)
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for y in range(from_y, to_y + 1)
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for z in range(from_z, to_z + 1)
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]
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class HexCoordinate(Coordinate):
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"""
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https://www.redblobgames.com/grids/hexagons/#coordinates-cube
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Treat as 3d Coordinate
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+y -x +z
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y x z
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yxz
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z x y
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-z +x -y
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"""
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neighbour_vectors = {
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'ne': Coordinate(-1, 0, 1),
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'nw': Coordinate(-1, 1, 0),
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'e': Coordinate(0, -1, 1),
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'w': Coordinate(0, 1, -1),
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'sw': Coordinate(1, 0, -1),
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'se': Coordinate(1, -1, 0),
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}
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def __init__(self, x: int, y: int, z: int):
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assert (x + y + z) == 0
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super().__init__(x, y, z)
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def get_length(self) -> int:
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return (abs(self.x) + abs(self.y) + abs(self.z)) // 2
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def getDistanceTo(self, target: Coordinate, algorithm: DistanceAlgorithm = DistanceAlgorithm.EUCLIDEAN,
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includeDiagonals: bool = True) -> Union[int, float]:
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# includeDiagonals makes no sense in a hex grid, it's just here for signature reasons
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if algorithm == DistanceAlgorithm.MANHATTAN:
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return (self - target).get_length()
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def getNeighbours(self, includeDiagonal: bool = True, minX: int = -inf, minY: int = -inf,
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maxX: int = inf, maxY: int = inf, minZ: int = -inf, maxZ: int = inf) -> list[Coordinate]:
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# includeDiagonals makes no sense in a hex grid, it's just here for signature reasons
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return [
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self + x for x in self.neighbour_vectors.values()
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if minX <= (self + x).x <= maxX and minY <= (self + x).y <= maxY and minZ <= (self + x).z <= maxZ
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]
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HexCoordinateR = HexCoordinate
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class HexCoordinateF(HexCoordinate):
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"""
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https://www.redblobgames.com/grids/hexagons/#coordinates-cube
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Treat as 3d Coordinate
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+y -x
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y x
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-z z yxz z +z
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x y
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+x -y
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"""
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neighbour_vectors = {
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'ne': Coordinate(-1, 0, 1),
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'nw': Coordinate(0, 1, -1),
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'n': Coordinate(-1, 1, 0),
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's': Coordinate(1, -1, 0),
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'sw': Coordinate(1, 0, -1),
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'se': Coordinate(0, -1, 1),
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}
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def __init__(self, x: int, y: int, z: int):
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super().__init__(x, y, z)
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class Shape:
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def __init__(self, top_left: Coordinate, bottom_right: Coordinate):
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"""
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@ -326,33 +326,3 @@ class Grid:
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print(spacer, end="")
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print()
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class HexGrid(Grid):
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"""
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https://www.redblobgames.com/grids/hexagons/#coordinates-cube
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Treat as 3d Grid
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+y -x +z
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y x z
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yxz
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z x y
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-z +x -y
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"""
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def __init__(self, default=False):
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super().__init__(default=default)
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def getNeighboursOf(self, pos: Coordinate, includeDefault: bool = False, includeDiagonal: bool = None) \
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-> List[Coordinate]:
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"""
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includeDiagonal is just here because of signature reasons, makes no difference in a hex grid
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"""
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vectors = [
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Coordinate(-1, 1, 0), # nw
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Coordinate(-1, 0, 1), # ne
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Coordinate(0, -1, 1), # e
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Coordinate(1, -1, 0), # se
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Coordinate(1, 0, -1), # sw
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Coordinate(0, 1, -1), # w
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]
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return [pos + v for v in vectors if includeDefault or self.get(pos + v) != self.__default]
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