adventofcode2022/lib/astar.py

91 lines
2.1 KiB
Python

from heapq import heappush, heappop
def search(start, goal, neighbors, heuristic=None):
if heuristic == None:
def heuristic(x):
return 0
# TODO: callable goal
if not isinstance(start, list):
start = [start]
i = 0 # tiebreaker
q = []
for s in start:
i += 1
heappush(q, (heuristic(s), i, s, None))
done = {}
while q:
z, _, this, prev = heappop(q)
if this in done:
continue
cost_so_far = z - heuristic(this)
#print(this,z, cost_so_far)
done[this] = (cost_so_far, prev)
if this == goal:
print("astar: visited", len(done), "nodes")
# reconsruct the path
n = this
path = []
while n is not None:
path.append(n)
_, n = done[n]
path.reverse()
return cost_so_far, this, path
for c, n in neighbors(this):
if n not in done:
# calculate the "reduced cost"
c = cost_so_far + c + heuristic(n)
i += 1
heappush(q, (c, i, n, this))
return float('inf'), None
def test():
data = [
"aabqponm",
"abcryxxl",
"accszzxk",
"acctuvwj",
"abdefghi",
]
#data = [
# "aabbaaba",
# "abcbaaba",
# "accabcbb",
# "accbbbba",
# "abbbabab",
#]
start = (0,0)
goal = (5,2)
def get(x,y):
return ord(data[y][x])
def neighbors(src):
x,y = src
here = get(x,y)
n = []
def push(x,y):
if 0 <= y < len(data):
if 0 <= x < len(data[y]):
if get(x,y) <= here+1:
n.append((1, (x,y)))
push(x-1, y)
push(x+1,y)
push(x, y-1)
push(x, y+1)
return n
def heuristic(n):
return abs(goal[0] - n[0]) + abs(goal[1] - n[1])
c, _, path = search(start, goal, neighbors, heuristic)
print(*data, sep="\n")
print(*path, sep="\n")
assert c == 31, c
if __name__ == '__main__':
test()