Added Wilson's Alg

main.py

@@ -61,7 +61,7 @@ class MazeVisualizer:
                     if event.key == pygame.K_m:
                         for _ in range(10000):
                             if not self.maze.step(): break
-                    if event.key == pygame.K_o:
+                    if event.key == pygame.K_v:
                         self.maze = maze.VectorWrapper.convert(self.maze)
 
             # Only step through the algorithm if it's not finished
@@ -95,7 +95,8 @@ VEC_MAZE_SIZE = (MAZE_SIZE + 1) // 2
 # my_maze = maze.RecursiveDivision(MAZE_SIZE, uniform=False)
 # my_maze = maze.RecursiveDivision(MAZE_SIZE, depth_first=False)
 # my_maze = maze.RecursiveDivision(MAZE_SIZE, binary=True)
-my_maze = maze.VectorWrapper(maze.Prim(VEC_MAZE_SIZE))
+# my_maze = maze.VectorWrapper(maze.Prim(VEC_MAZE_SIZE))
+my_maze = maze.VectorWrapper(maze.Wilson(VEC_MAZE_SIZE))
 
 # for _ in range(512): my_maze.step()
 # for _ in range(2048): my_maze.step()

maze.py

@@ -159,10 +159,13 @@ class VectorWrapper(Maze):
         return ((i - 1) // 2)
 
     @classmethod
-    def convert(cls, maze: Maze) -> "VectorWrapper":
+    def convert(cls, maze: Maze, origin: tuple[int,int] | None = None) -> "VectorWrapper":
         width, height = cls.__to_vec(maze.width), cls.__to_vec(maze.height)
 
-        stack = [(random.randint(0,width-1),random.randint(0,height-1))]
+        if origin is None:
+            stack = [(random.randint(0,width-1),random.randint(0,height-1))]
+        else:
+            stack = [origin]
 
         cells = [list([VectorEnum.Null for _ in range(width)]) for _ in range(height)]
 
@@ -747,3 +750,94 @@ class Prim(VectorMaze):
                 neighbors.append((x,y + 1))
 
         return neighbors
+
+
+class Wilson(VectorMaze):
+
+    __cells: list[list[VectorEnum]]
+
+    __width: int
+    __height: int
+
+    __path: dict[tuple[int,int], VectorEnum]
+    __start: tuple[int,int] | None
+
+    def __init__(self, width: int, height: int | None = None, *, bias: int | None = None ):
+        self.__width = width
+        self.__height = height or width
+
+        self.__cells = [list([VectorEnum.Null for _ in range(self.width)]) for _ in range(self.height)]
+
+        x, y = random.randint(0,self.width-1), random.randint(0,self.height-1)
+        self.__cells[y][x] = VectorEnum.Zero
+
+        self.__start = self.__new_start()
+        if self.__start is not None:
+            self.__path = {self.__start: VectorEnum.Zero}
+        else:
+            self.__path = {}
+
+    @property
+    def width(self) -> int:
+        return self.__width
+
+    @property
+    def height(self) -> int:
+        return self.__height
+
+    @property
+    def highlighted(self) -> tuple[int,int] | None:
+        if self.__start is not None:
+            for key, value in self.__path.items():
+                if value == VectorEnum.Zero:
+                    return key
+        return None
+
+    def __getitem__(self, index: tuple[int,int]) -> VectorEnum:
+        x, y = index
+        return self.__cells[y][x]
+
+    def step(self) -> bool:
+        if self.highlighted:
+            highlighted = self.highlighted
+            neighbors = self._neighbors(highlighted)
+            cell = neighbors[random.randint(0, len(neighbors)-1)]
+            self.__path[highlighted] = self.__direction(highlighted, cell)
+            if self.__cells[cell[1]][cell[0]] == VectorEnum.Null:
+                self.__path[cell] = VectorEnum.Zero
+            else:
+                # if self.highlighted is not None, self.__start is not None
+                cell: tuple[int,int] = self.__start # type: ignore
+                while self.__path.get(cell, VectorEnum.Zero) != VectorEnum.Zero:
+                    self.__cells[cell[1]][cell[0]] = self.__path[cell]
+                    cell = self.__next(cell, self.__path[cell])
+                self.__start = self.__new_start()
+                if self.__start is not None:
+                    self.__path = {self.__start: VectorEnum.Zero}
+                else:
+                    self.__path = {}
+            return True
+        else: return False
+
+    def __new_start(self) -> tuple[int, int] | None:
+        empty = []
+        for x in range(self.width):
+            for y in range(self.height):
+                if self.__cells[y][x] == VectorEnum.Null:
+                    empty.append((x,y))
+        if empty: return empty[random.randint(0,len(empty)-1)]
+        else: return None
+
+    def __direction(self, start: tuple[int,int], end: tuple[int,int]) -> VectorEnum:
+        if start[0] > end[0]: return VectorEnum.Left
+        if start[0] < end[0]: return VectorEnum.Right
+        if start[1] > end[1]: return VectorEnum.Up
+        if start[1] < end[1]: return VectorEnum.Down
+        return VectorEnum.Zero
+
+    def __next(self, index: tuple[int,int], direction: VectorEnum) -> tuple[int,int]:
+        if direction == VectorEnum.Up: return index[0], index[1]-1
+        elif direction == VectorEnum.Down: return index[0], index[1]+1
+        elif direction == VectorEnum.Left: return index[0]-1, index[1]
+        elif direction == VectorEnum.Right: return index[0]+1, index[1]
+        else: return index[0], index[1]

notes/algs.txt

@@ -5,8 +5,8 @@
 + Recursive Division
 + Binary Division
 + Prim's Algorithm
++ Wilson's Algorithm
 - Aldous-Broder Algorithm
-- Wilson's Algorithm
 - Aldous-Broder-Wilson Algorithm
 - Kruskal's Algorithm
 - Eller's Algorithm