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rubiks_operations.py
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rubiks_operations.py
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import numpy as np
import random
import matplotlib.pyplot as plt
import matplotlib
from mpl_toolkits.mplot3d import Axes3D
# matplotlib.use('tkagg')
from matplotlib.patches import Polygon
class Cube:
def __init__(self):
self.state = np.array(
[
[1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6],
[1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6],
[1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6]
# [1, 1, 1, 4, 4, 5, 1, 5, 5, 2, 2, 2, 3, 3, 3, 6, 6, 3],
# [1, 1, 1, 2, 2, 6, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 2],
# [1, 1, 4, 2, 2, 6, 2, 3, 4, 6, 3, 5, 6, 5, 5, 4, 6, 3]
]
)
self.solved = True
self.color_dict = {1: 'y', 2: 'b', 3: 'r', 4: 'g', 5: 'orange', 6: 'w'}
self.faces = {'U': 0, 'F': 3, 'R': 6, 'B': 9, 'L': 12, 'D': 15}
self.adj_faces = {'U': [('F', 0), ('R', 0), ('B', 0), ('L', 0)],
'F': [('U', 180), ('L', 270), ('D', 0), ('R', 90)],
'R': [('U', 270), ('F', 270), ('D', 270), ('B', 90)],
'B': [('U', 0), ('R', 270), ('D', 180), ('L', 90)],
'L': [('U', 90), ('F', 90), ('D', 90), ('B', 270)],
'D': [('L', 180), ('B', 180), ('R', 180), ('F', 180)],
}
self.fitness()
self.move_cache = {}
self.reverse_shuffle = []
self.initial_shuffle = []
def reset(self):
self.state = np.array(
[
[1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6],
[1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6],
[1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6]
]
)
def fitness(self):
# score = [np.sum(self.state[:, face:face + 3] == index + 1) for index, face in enumerate(self.faces.values())]
score = 0
for i in range(0, 18, 3):
face = self.state[:, i: i+3]
score += np.count_nonzero(face == face[1,1])
# print(score)
# score = [np.sum(self.state[:, i][])]
score -= 6
if score == 48:
self.solved = True
else:
self.solved = False
return score
def perform_moves(self, moves):
max_fitness = 0
# Check if moves have already been performed
cached_fitness, cached_state = self.move_cache.get("".join(moves), (False, False))
# cached_fitness = False
if cached_fitness:
# If pre-calculated fitness exists, set state and return fitness
self.state = cached_state
return cached_fitness
else:
# Ensure rubiks cube state is in the shuffled state
self.state = np.copy(self.move_cache['shuffle'])
acc_moves = ""
for move in moves:
acc_moves += move
# Check if moves so far exist in cache
cached_fitness, cached_state = self.move_cache.get(acc_moves, (False, False))
# cached_fitness = False
if cached_fitness:
# If these moves have been performed, fetch from dictionary
cur_fitness = cached_fitness
self.state = np.copy(cached_state)
else:
# Perform moves, calc fitness
self.perform_move(move)
cur_fitness = self.fitness()
if cur_fitness > max_fitness:
max_fitness = cur_fitness
self.move_cache[acc_moves] = max_fitness, np.copy(self.state)
if cur_fitness > max_fitness:
max_fitness = cur_fitness
if cur_fitness == 48:
print("Solved with:")
print(acc_moves)
filename = "".join(self.initial_shuffle) + "=solutions.txt"
with open(filename, 'a+') as solves:
solves.write(acc_moves+'\n')
print(self)
max_fitness = 48
self.solved = True
break
return max_fitness
def perform_move(self, move):
self.__getattribute__(move)()
def shuffle(self, rigor=100):
moves = rand_moves(rigor)
self.initial_shuffle = moves
for move in moves:
self.perform_move(move)
if self.fitness() == 48:
self.shuffle()
self.move_cache = {"shuffle": np.copy(self.state)}
self.solved = False
self.reverse_shuffle = reverse_moves(moves)
print(f"Shuffled with {rigor} moves: {moves}")
print(f"Reverse shuffle: {self.reverse_shuffle}")
def op(self, move, reverse=False):
self._rotate(move, reverse=reverse)
self._rotate_adj_faces(move, reverse)
# self.fitness()
def U(self):
self.op('U', reverse=False)
def U_(self):
self.op('U', reverse=True)
def D(self):
self.op('D', reverse=False)
def D_(self):
self.op('D', reverse=True)
def F(self):
self.op('F', reverse=False)
def F_(self):
self.op('F', reverse=True)
def B(self):
self.op('B', reverse=False)
def B_(self):
self.op('B', reverse=True)
def R(self):
self.op('R', reverse=False)
def R_(self):
self.op('R', reverse=True)
def L(self):
self.op('L', reverse=True)
def L_(self):
self.op('L', reverse=False)
def M(self):
# Rotates the layer between L and R
self.R()
self.L_()
def M_(self):
# # Rotates the layer between L and R
self.R_()
self.L()
def E(self):
# Rotates the layer between U and D
self.U()
self.D_()
def E_(self):
# Rotates the layer between U and D
self.U_()
self.D()
def S(self):
# Rotates the layer between F and B
self.F_()
self.B()
def S_(self):
# Rotates the layer between F and B
self.F()
self.B_()
def verify(self):
for n in range(1, 7):
if np.count_nonzero(self.state == n) != 9:
raise ValueError("The cube has an incorrect number of pieces, found {} {}'s instead of 9".format(
np.count_nonzero(self.state == n), n))
def get_color_rep(self):
return np.vectorize(self.color_dict.get)(self.state)
def _get_face(self, face):
index = self.faces[face]
return self.state[:, index:index + 3]
def _set_face(self, face, states):
index = self.faces[face]
self.state[:, index:index + 3] = states
def _rotate(self, face, degs=90, reverse=False):
if reverse:
degs = 360 - degs
k_vals = {0: 0, 90: 3, 180: 2, 270: 1, 360: 0}
index = self.faces[face]
states = self._get_face(face)
self.state[:, index:index + 3] = np.rot90(states, k=k_vals[degs])
def _rotate_states(self, states, degs=90):
"""
Given a 3x3 array, rotates it n degrees (clockwise)
:param states: The 3x3 array
:param degs: The +ve degrees to rotate the array (in multiples of 90)
:return: The rotated array
"""
k_vals = {0: 0, 90: 3, 180: 2, 270: 1, 360: 0}
return np.rot90(states, k=k_vals[degs])
def _rotate_adj_faces(self, cur_face, reverse=False):
adj_faces = self.adj_faces[cur_face].copy()
if reverse:
adj_faces.reverse()
f_0 = np.copy(self._get_face(adj_faces[0][0]))
i = 0
for face, rot_amount in adj_faces:
f = np.copy(self._get_face(face))
if i + 1 < len(adj_faces):
next_face, next_rot_amount = adj_faces[i + 1]
f_new = self._get_face(next_face)
f_new = self._rotate_states(f_new, degs=next_rot_amount)
else:
f_new = self._rotate_states(f_0, degs=adj_faces[0][1])
f = np.copy(self._rotate_states(f, degs=rot_amount))
f[0, :] = f_new[0, :]
f = np.copy(self._rotate_states(f, degs=360 - rot_amount))
self._set_face(face, f)
i += 1
def __repr__(self):
return f"Cube({str(self.state)})"
def __str__(self):
u = self._get_face('U')
f = self._get_face('F')
r = self._get_face('R')
b = self._get_face('B')
l = self._get_face('L')
d = self._get_face('D')
rep = f"""
{u[0,:]} {f[0,:]} {r[0,:]} {b[0,:]} {l[0,:]} {d[0,:]}
{u[1,:]} {f[1,:]} {r[1,:]} {b[1,:]} {l[1,:]} {d[1,:]}
{u[2,:]} {f[2,:]} {r[2,:]} {b[2,:]} {l[2,:]} {d[2,:]}
"""
return rep
def __call__(self):
return self.state
moveset = ['U', 'F', 'R', 'B', 'L', 'D', 'M', 'E', 'S', 'U_', 'F_', 'R_', 'B_', 'L_', 'D_', 'M_', 'E_', 'S_']
def rand_moves(N):
moves = []
n = 0
while len(moves) < N:
prev = moves[n - 1] if len(moves) > 0 else ''
moves.append(rand_move(prev))
return moves
def rand_move(prev="", next=""):
move_index = random.randint(0, len(moveset) - 1)
move = moveset[move_index]
while not (prev != move + '_' and prev + '_' != move) and (next != move + '_' and next + '_' != move):
move_index = random.randint(0, len(moveset) - 1)
move = moveset[move_index]
return move
def reverse_moves(moves):
moves = moves[::-1]
moves = [m[:-1] if m.endswith('_') else m + "_" for m in moves]
return moves
# reverse_moves(['F', 'U', 'U', 'D', 'B_'])
#
# cube = Cube()
# cube.shuffle()
# def display_cube():
#
# x, y, z = np.indices((3, 3, 3))
#
# # draw cuboids in the top left and bottom right corners
# cube_plot = (x < 3) & (y < 3) & (z < 3)
#
# colors = np.array([
# [
# ['r', 'y', 'b'], ['r', 'y', 'b'], ['r', 'y', 'b']
# ],
# [
# ['r', 'y', 'b'], ['r', 'y', 'b'], ['r', 'y', 'b']
# ],
# [
# ['r', 'y', 'b'], ['r', 'y', 'b'], ['r', 'y', 'b']
# ]
# ])
# print(colors)
# # colors = cube.get_color_rep()
#
# print(colors)
# fig = plt.figure()
# ax = fig.gca(projection='3d')
# ax.voxels(cube_plot, facecolors=colors, edgecolor='k')
#
# plt.show()
# cube.R_()
# cube.D_()
# cube.R()
# cube.D()
# cube.R_()
# cube.D_()
# cube.R()
# cube.D()
# cube.U()
# cube.U()
# [1, 1, 1, 4, 4, 5, 1, 5, 5, 2, 2, 2, 3, 3, 3, 6, 6, 3],
# [1, 1, 1, 2, 2, 6, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 2],
# [1, 1, 4, 2, 2, 6, 2, 3, 4, 6, 3, 5, 6, 5, 5, 4, 6, 3]