class ProblemMixing(Problem):
- def __init__(self, height=3, width=3, nb_time_steps=12, hard=False):
+ def __init__(self, height=4, width=4, nb_time_steps=9, hard=False):
self.height = height
self.width = width
self.nb_time_steps = nb_time_steps
self.hard = hard
- def start(self, nb):
- return (
- torch.arange(self.height * self.width)
- .reshape(1, 1, self.height, self.width)
- .expand(nb, -1, -1, -1)
+ def start_random(self, nb):
+ y = torch.arange(self.height * self.width).reshape(1, -1).expand(nb, -1)
+
+ # m = (torch.rand(y.size()).sort(dim=-1).indices < y.size(1) // 2).long()
+
+ i = torch.arange(self.height).reshape(1,-1,1).expand(nb,self.height,self.width)
+ j = torch.arange(self.width).reshape(1,1,-1).expand(nb,self.height,self.width)
+
+ ri = torch.randint(self.height, (nb,)).reshape(nb,1,1)
+ rj = torch.randint(self.width, (nb,)).reshape(nb,1,1)
+
+ m = 1 - torch.logical_or(i==ri,j==rj).long().flatten(1)
+
+ y = (y * m + self.height * self.width * (1 - m)).reshape(
+ nb, self.height, self.width
)
+ return y
+
+ def start_error(self, x):
+ i = torch.arange(self.height, device=x.device).reshape(1,-1,1).expand_as(x)
+ j = torch.arange(self.width, device=x.device).reshape(1,1,-1).expand_as(x)
+
+ ri = (x == self.height * self.width).long().sum(dim=-1).argmax(-1).view(-1,1,1)
+ rj = (x == self.height * self.width).long().sum(dim=-2).argmax(-1).view(-1,1,1)
+
+ m = 1 - torch.logical_or(i==ri,j==rj).long().flatten(1)
+
+ x = x.flatten(1)
+ u = torch.arange(self.height * self.width, device = x.device).reshape(1, -1)
+
+ d = (x - (m * u + (1 - m) * self.height * self.width)).abs().sum(-1)
+ return d
+
def moves(self, x):
y = (
x[:, None, :, :]
return y
def generate_sequences(self, nb):
- y = self.start(nb)
- x = y[torch.arange(nb), torch.randint(y.size(1), (nb,))]
+ x = self.start_random(nb)
seq = [x.flatten(1)]
x = a[0]
- y = self.start(result.size(0)).to(x.device)
- d = (x[:, None] - y).abs().sum((-1, -2)).min(dim=-1).values
+ d = self.start_error(x)
for t in range(self.nb_time_steps - 1):
x0, x = a[t], a[t + 1]
return " | ".join(
[
" ".join(
- ["-".join([f"{x:02d}" for x in s]) for s in r.split(self.width)]
+ ["-".join([f"{x:02d}" if x < self.height * self.width else "**" for x in s]) for s in r.split(self.width)]
)
for r in seq.split(self.height * self.width)
]
####################
if __name__ == "__main__":
- p = ProblemMixing(hard=True)
+ p = ProblemMixing()
s, m = p.generate_sequences(10000)
for x in s[:5]:
print(p.seq2str(x))