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import heapq
import math
import time
from collections import deque
from environment import Direction

class Node:
    def __init__(self, position, parent=None, direction=None):
        self.position = position
        self.parent = parent
        self.direction = direction  # This should be a Direction enum
        self.g = 0  # Cost from start to current node
        self.h = 0  # Heuristic cost from current node to goal
        self.f = 0  # Total cost (g + h)
    
    def __eq__(self, other):
        return self.position == other.position
    
    def __lt__(self, other):
        return self.f < other.f

class SearchAlgorithms:
    def __init__(self, environment, turn_cost_enabled=False):
        self.env = environment
        self.turn_cost_enabled = turn_cost_enabled
    
    def calculate_turn_cost(self, current_dir, new_dir):
        """Calculate turn cost between directions (0.5 for 90° turns)"""
        if not self.turn_cost_enabled or current_dir is None or new_dir is None:
            return 0
        
        if current_dir == new_dir:
            return 0
        
        # Calculate the absolute difference in direction values
        diff = abs(current_dir.value - new_dir.value)
        
        # For 4-direction system, handle wrap-around (UP=0, LEFT=3)
        if diff == 3:  # This means UP to LEFT or LEFT to UP
            diff = 1
        
        if diff == 1:  # 90° turn
            return 0.5
        elif diff == 2:  # 180° turn
            return 1.0
        return 0
    
    def get_neighbors(self, position, direction=None):
        row, col = position
        neighbors = []
        
        # Possible moves: up, right, down, left
        moves = [
            (-1, 0, Direction.UP), 
            (0, 1, Direction.RIGHT), 
            (1, 0, Direction.DOWN), 
            (0, -1, Direction.LEFT)
        ]
        
        for dr, dc, new_dir in moves:
            new_row, new_col = row + dr, col + dc
            if self.env.is_valid_position(new_row, new_col):
                turn_cost = self.calculate_turn_cost(direction, new_dir)
                move_cost = 1 + turn_cost
                neighbors.append(((new_row, new_col), new_dir, move_cost))
        
        return neighbors
    
    def get_diagonal_neighbors(self, position, direction=None):
        row, col = position
        neighbors = []
        
        # Possible moves including diagonals
        moves = [
            (-1, 0, Direction.UP, 1), 
            (0, 1, Direction.RIGHT, 1), 
            (1, 0, Direction.DOWN, 1), 
            (0, -1, Direction.LEFT, 1),
            (-1, -1, Direction.UP, math.sqrt(2)), 
            (-1, 1, Direction.UP, math.sqrt(2)),
            (1, -1, Direction.DOWN, math.sqrt(2)), 
            (1, 1, Direction.DOWN, math.sqrt(2))
        ]
        
        for dr, dc, new_dir, base_cost in moves:
            new_row, new_col = row + dr, col + dc
            if self.env.is_valid_position(new_row, new_col):
                turn_cost = self.calculate_turn_cost(direction, new_dir)
                move_cost = base_cost + turn_cost
                neighbors.append(((new_row, new_col), new_dir, move_cost))
        
        return neighbors
    
    def manhattan_distance(self, pos1, pos2):
        return abs(pos1[0] - pos2[0]) + abs(pos1[1] - pos2[1])
    
    def euclidean_distance(self, pos1, pos2):
        return math.sqrt((pos1[0] - pos2[0])**2 + (pos1[1] - pos2[1])**2)
    
    def chebyshev_distance(self, pos1, pos2):
        return max(abs(pos1[0] - pos2[0]), abs(pos1[1] - pos2[1]))
    
    def bfs(self, start, goals):
        """Breadth-First Search"""
        start_time = time.time()
        if not goals:
            return None, set(), 0, 0
            
        queue = deque([Node(start)])
        visited = set([start])
        explored = set([start])
        nodes_expanded = 0
        
        while queue:
            current_node = queue.popleft()
            nodes_expanded += 1
            
            # Check if we reached any goal
            if current_node.position in goals:
                path = []
                temp_node = current_node
                while temp_node:
                    path.append(temp_node.position)
                    temp_node = temp_node.parent
                computation_time = time.time() - start_time
                return path[::-1], explored, nodes_expanded, computation_time
            
            for neighbor_pos, new_dir, move_cost in self.get_neighbors(current_node.position):
                if neighbor_pos not in visited:
                    visited.add(neighbor_pos)
                    explored.add(neighbor_pos)
                    new_node = Node(neighbor_pos, current_node, new_dir)
                    queue.append(new_node)
        
        computation_time = time.time() - start_time
        return None, explored, nodes_expanded, computation_time
    
    def a_star(self, start, goals, heuristic_type="manhattan", allow_diagonals=False):
        """A* Search with different heuristics"""
        start_time = time.time()
        if not goals:
            return None, set(), 0, 0
            
        open_list = []
        start_node = Node(start)
        heapq.heappush(open_list, start_node)
        closed_list = set()
        explored = set([start])
        nodes_expanded = 0
        
        # Cost from start to node
        g_costs = {start: 0}
        # Keep track of directions for turn cost calculation
        directions = {start: None}
        
        while open_list:
            current_node = heapq.heappop(open_list)
            nodes_expanded += 1
            
            # Check if we reached any goal
            if current_node.position in goals:
                path = []
                temp_node = current_node
                while temp_node:
                    path.append(temp_node.position)
                    temp_node = temp_node.parent
                computation_time = time.time() - start_time
                return path[::-1], explored, nodes_expanded, computation_time
            
            closed_list.add(current_node.position)
            current_dir = directions[current_node.position]
            
            # Get neighbors based on whether diagonals are allowed
            if allow_diagonals:
                neighbors = self.get_diagonal_neighbors(current_node.position, current_dir)
            else:
                neighbors = self.get_neighbors(current_node.position, current_dir)
            
            for neighbor_pos, direction, move_cost in neighbors:
                if neighbor_pos in closed_list:
                    continue
                
                # Calculate new g cost
                new_g = g_costs[current_node.position] + move_cost
                
                if neighbor_pos not in g_costs or new_g < g_costs[neighbor_pos]:
                    # Calculate heuristic to the closest goal
                    min_h = float('inf')
                    for goal in goals:
                        if heuristic_type == "manhattan":
                            h = self.manhattan_distance(neighbor_pos, goal)
                        elif heuristic_type == "euclidean":
                            h = self.euclidean_distance(neighbor_pos, goal)
                        elif heuristic_type == "chebyshev":
                            h = self.chebyshev_distance(neighbor_pos, goal)
                        min_h = min(min_h, h)
                    
                    # Create new node
                    new_node = Node(neighbor_pos, current_node, direction)
                    new_node.g = new_g
                    new_node.h = min_h
                    new_node.f = new_g + min_h
                    
                    g_costs[neighbor_pos] = new_g
                    directions[neighbor_pos] = direction
                    explored.add(neighbor_pos)
                    heapq.heappush(open_list, new_node)
        
        computation_time = time.time() - start_time
        return None, explored, nodes_expanded, computation_time
    
    def find_path_to_nearest_dirty(self, vacuum_pos, algorithm="a_star", heuristic="manhattan"):
        """Find path to the nearest dirty cell"""
        dirty_cells = list(self.env.dirty_cells)
        
        if not dirty_cells:
            return None, set(), 0, 0
        
        if algorithm == "bfs":
            return self.bfs(vacuum_pos, dirty_cells)
        else:
            # For A*, we need to decide whether to allow diagonals based on heuristic
            allow_diagonals = heuristic in ["euclidean", "chebyshev"]
            return self.a_star(vacuum_pos, dirty_cells, heuristic, allow_diagonals)