latex写A*算法的伪代码,其中需要经过一个必经点。
时间: 2023-05-12 18:04:13 浏览: 115
以下是一个简单的 A* 算法的伪代码,其中包括必经点的考虑:
```
function A_Star(start, goal, must_pass):
open_set = {start}
closed_set = {}
came_from = {}
g_score = defaultdict(lambda: float('inf'))
g_score[start] = 0
f_score = defaultdict(lambda: float('inf'))
f
相关问题
latex写A*算法的伪代码,其中需要经过起点,一个必经点,终点
以下是使用latex写A*算法的伪代码,其中需要经过起点,一个必经点,终点:
\begin{algorithmic}
\State $openSet \gets \{start\}$
\State $closedSet \gets \{\}$
\State $cameFrom \gets \{\}$
\State $gScore \gets \{start: 0\}$
\State $fScore \gets \{start: heuristic(start, goal)\}$
\While{$openSet$ is not empty}
\State $current \gets$ node in $openSet$ with lowest $fScore$
\If{$current = goal$}
\State \textbf{return} reconstructPath($cameFrom$, $current$)
\EndIf
\State remove $current$ from $openSet$
\State add $current$ to $closedSet$
\For{each neighbor $neighbor$ of $current$}
\If{$neighbor$ is in $closedSet$}
\State \textbf{continue}
\EndIf
\State $tentativeGScore \gets gScore[current] + dist(current, neighbor)$
\If{$neighbor$ is not in $openSet$}
\State add $neighbor$ to $openSet$
\ElsIf{$tentativeGScore \geq gScore[neighbor]$}
\State \textbf{continue}
\EndIf
\State $cameFrom[neighbor] \gets current$
\State $gScore[neighbor] \gets tentativeGScore$
\State $fScore[neighbor] \gets gScore[neighbor] + heuristic(neighbor, goal)$
\EndFor
\EndWhile
\State \textbf{return} failure
\end{algorithmic}
其中,$start$表示起点,$goal$表示终点,$heuristic(node1, node2)$表示从$node1$到$node2$的启发式估计函数,$dist(node1, node2)$表示从$node1$到$node2$的距离。$openSet$表示待处理的节点集合,$closedSet$表示已处理的节点集合,$cameFrom$表示每个节点的最佳前驱节点,$gScore$表示从起点到每个节点的最短距离,$fScore$表示从起点到每个节点的估价函数值。
latex写A*算法的伪代码
Sure, here's the pseudocode for the A* algorithm in LaTeX:
\begin{algorithm}[H]
\SetAlgoLined
\KwIn{start node, goal node}
\KwOut{path from start to goal}
openSet $\gets$ \{start\}\;
cameFrom $\gets$ empty map\;
gScore[start] $\gets$ 0\;
fScore[start] $\gets$ heuristic(start, goal)\;
\While{openSet is not empty}{
current $\gets$ node in openSet with lowest fScore\;
\If{current = goal}{
\Return reconstructPath(cameFrom, goal)\;
}
openSet $\gets$ openSet - \{current\}\;
\For{neighbor of current}{
tentativeGScore $\gets$ gScore[current] + dist(current, neighbor)\;
\If{tentativeGScore $<$ gScore[neighbor]}{
cameFrom[neighbor] $\gets$ current\;
gScore[neighbor] $\gets$ tentativeGScore\;
fScore[neighbor] $\gets$ gScore[neighbor] + heuristic(neighbor, goal)\;
\If{neighbor not in openSet}{
openSet $\gets$ openSet $\cup$ \{neighbor\}\;
}
}
}
}
\Return failure\;
\caption{A* algorithm}
\end{algorithm}
Hope this helps!
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