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Update astar.py (#6456)
* Update astar.py Improved comments added punctuations. * Update astar.py * Update machine_learning/astar.py Co-authored-by: Caeden <caedenperelliharris@gmail.com> * Update astar.py Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: Caeden <caedenperelliharris@gmail.com>
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@ -1,41 +1,38 @@
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"""
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The A* algorithm combines features of uniform-cost search and pure
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heuristic search to efficiently compute optimal solutions.
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A* algorithm is a best-first search algorithm in which the cost
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associated with a node is f(n) = g(n) + h(n),
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where g(n) is the cost of the path from the initial state to node n and
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h(n) is the heuristic estimate or the cost or a path
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from node n to a goal.A* algorithm introduces a heuristic into a
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regular graph-searching algorithm,
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essentially planning ahead at each step so a more optimal decision
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is made.A* also known as the algorithm with brains
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The A* algorithm combines features of uniform-cost search and pure heuristic search to
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efficiently compute optimal solutions.
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The A* algorithm is a best-first search algorithm in which the cost associated with a
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node is f(n) = g(n) + h(n), where g(n) is the cost of the path from the initial state to
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node n and h(n) is the heuristic estimate or the cost or a path from node n to a goal.
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The A* algorithm introduces a heuristic into a regular graph-searching algorithm,
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essentially planning ahead at each step so a more optimal decision is made. For this
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reason, A* is known as an algorithm with brains.
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https://en.wikipedia.org/wiki/A*_search_algorithm
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"""
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import numpy as np
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class Cell:
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"""
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Class cell represents a cell in the world which have the property
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position : The position of the represented by tupleof x and y
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coordinates initially set to (0,0)
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parent : This contains the parent cell object which we visited
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before arrinving this cell
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g,h,f : The parameters for constructing the heuristic function
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which can be any function. for simplicity used line
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distance
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Class cell represents a cell in the world which have the properties:
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position: represented by tuple of x and y coordinates initially set to (0,0).
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parent: Contains the parent cell object visited before we arrived at this cell.
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g, h, f: Parameters used when calling our heuristic function.
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"""
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def __init__(self):
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self.position = (0, 0)
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self.parent = None
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self.g = 0
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self.h = 0
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self.f = 0
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"""
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overrides equals method because otherwise cell assign will give
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wrong results
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Overrides equals method because otherwise cell assign will give
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wrong results.
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"""
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def __eq__(self, cell):
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@ -48,8 +45,8 @@ class Cell:
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class Gridworld:
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"""
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Gridworld class represents the external world here a grid M*M
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matrix
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world_size: create a numpy array with the given world_size default is 5
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matrix.
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world_size: create a numpy array with the given world_size default is 5.
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"""
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def __init__(self, world_size=(5, 5)):
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@ -90,10 +87,10 @@ class Gridworld:
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def astar(world, start, goal):
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"""
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Implementation of a start algorithm
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world : Object of the world object
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start : Object of the cell as start position
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stop : Object of the cell as goal position
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Implementation of a start algorithm.
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world : Object of the world object.
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start : Object of the cell as start position.
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stop : Object of the cell as goal position.
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>>> p = Gridworld()
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>>> start = Cell()
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@ -137,14 +134,14 @@ def astar(world, start, goal):
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if __name__ == "__main__":
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world = Gridworld()
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# stat position and Goal
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# Start position and goal
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start = Cell()
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start.position = (0, 0)
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goal = Cell()
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goal.position = (4, 4)
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print(f"path from {start.position} to {goal.position}")
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s = astar(world, start, goal)
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# Just for visual reasons
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# Just for visual reasons.
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for i in s:
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world.w[i] = 1
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print(world.w)
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