Merge pull request #188 from rudrasohan/fix_name

Name change from A*.py to a_star.py
This commit is contained in:
Sachin Arora 2017-10-24 19:20:44 +05:30 committed by GitHub
commit 70c11da6e2

101
Graphs/a_star.py Normal file
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grid = [[0, 1, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0],#0 are free path whereas 1's are obstacles
[0, 1, 0, 0, 0, 0],
[0, 1, 0, 0, 1, 0],
[0, 0, 0, 0, 1, 0]]
'''
heuristic = [[9, 8, 7, 6, 5, 4],
[8, 7, 6, 5, 4, 3],
[7, 6, 5, 4, 3, 2],
[6, 5, 4, 3, 2, 1],
[5, 4, 3, 2, 1, 0]]'''
init = [0, 0]
goal = [len(grid)-1, len(grid[0])-1] #all coordinates are given in format [y,x]
cost = 1
#the cost map which pushes the path closer to the goal
heuristic = [[0 for row in range(len(grid[0]))] for col in range(len(grid))]
for i in range(len(grid)):
for j in range(len(grid[0])):
heuristic[i][j] = abs(i - goal[0]) + abs(j - goal[1])
if grid[i][j] == 1:
heuristic[i][j] = 99 #added extra penalty in the heuristic map
#the actions we can take
delta = [[-1, 0 ], # go up
[ 0, -1], # go left
[ 1, 0 ], # go down
[ 0, 1 ]] # go right
#function to search the path
def search(grid,init,goal,cost,heuristic):
closed = [[0 for col in range(len(grid[0]))] for row in range(len(grid))]# the referrence grid
closed[init[0]][init[1]] = 1
action = [[0 for col in range(len(grid[0]))] for row in range(len(grid))]#the action grid
x = init[0]
y = init[1]
g = 0
f = g + heuristic[init[0]][init[0]]
cell = [[f, g, x, y]]
found = False # flag that is set when search is complete
resign = False # flag set if we can't find expand
while not found and not resign:
if len(cell) == 0:
resign = True
return "FAIL"
else:
cell.sort()#to choose the least costliest action so as to move closer to the goal
cell.reverse()
next = cell.pop()
x = next[2]
y = next[3]
g = next[1]
f = next[0]
if x == goal[0] and y == goal[1]:
found = True
else:
for i in range(len(delta)):#to try out different valid actions
x2 = x + delta[i][0]
y2 = y + delta[i][1]
if x2 >= 0 and x2 < len(grid) and y2 >=0 and y2 < len(grid[0]):
if closed[x2][y2] == 0 and grid[x2][y2] == 0:
g2 = g + cost
f2 = g2 + heuristic[x2][y2]
cell.append([f2, g2, x2, y2])
closed[x2][y2] = 1
action[x2][y2] = i
invpath = []
x = goal[0]
y = goal[1]
invpath.append([x, y])#we get the reverse path from here
while x != init[0] or y != init[1]:
x2 = x - delta[action[x][y]][0]
y2 = y - delta[action[x][y]][1]
x = x2
y = y2
invpath.append([x, y])
path = []
for i in range(len(invpath)):
path.append(invpath[len(invpath) - 1 - i])
print "ACTION MAP"
for i in range(len(action)):
print action[i]
return path
a = search(grid,init,goal,cost,heuristic)
for i in range(len(a)):
print a[i]