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cube.py
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cube.py
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from helper import parseFormula
import copy
class Cube:
"""
An object which models a Rubik's cube and can be moved using formulas that follow the standard cube representation.
Parameters
----------
faces : string, default="None"
Set the initial state of the cube to a specific cube faces matrix array.
Attributes
----------
cube : list of size (6, 3, 3)
The internal cube faces matrix array for the cube object.
Example
-------
>>> cb = Cube()
>>> cb.doMoves("RUR'U'")
>>> print(cb)
YYR
YYG
YYG
BRR GGW OOY BOO
RRR GGY BOO BBB
RRR GGG YOO BBB
WWO
WWW
WWW
"""
def __init__(self, faces = "None"):
self.orientation = [[5, 1, 4, 3], [5, 2, 4, 0], [5, 3, 4, 1], [5, 0, 4, 2], [0, 1, 2, 3], [2, 1, 0, 3]]
self.rotmap = [[[2, 0], [2, 1], [2, 2], [0, 0], [1, 0], [2, 0], [0, 2], [0, 1], [0, 0], [2, 2], [1, 2], [0, 2]], [[2, 2], [1, 2], [0, 2], [0, 0], [1, 0], [2, 0], [2, 2], [1, 2], [0, 2], [2, 2], [1, 2], [0, 2]], [[0, 2], [0, 1], [0, 0], [0, 0], [1, 0], [2, 0], [2, 0], [2, 1], [2, 2], [2, 2], [1, 2], [0, 2]], [[0, 0], [1, 0], [2, 0], [0, 0], [1, 0], [2, 0], [0, 0], [1, 0], [2, 0], [2, 2], [1, 2], [0, 2]], [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1], [2, 2], [2, 0], [2, 1], [2, 2], [2, 0], [2, 1], [2, 2]], [[0, 2], [0, 1], [0, 0], [0, 2], [0, 1], [0, 0], [0, 2], [0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]]
self.sideTocmap = ["G", "O", "B", "R", "W", "Y"]
if(faces == "None"):
self.cube = [[[self.sideTocmap[c]] * 3 for _ in range(3)] for c in range(6)]
else:
self.cube = faces
def __str__(self):
pstr = ""
for i in range(3):
pstr += " "
for j in range(3):
pstr += self.cube[5][i][j]
pstr += "\n"
for i in range(3):
for j in range(3):
pstr += self.cube[3][i][j]
pstr += " "
for j in range(3):
pstr += self.cube[0][i][j]
pstr += " "
for j in range(3):
pstr += self.cube[1][i][j]
pstr += " "
for j in range(3):
pstr += self.cube[2][i][j]
pstr += "\n"
for i in range(3):
pstr += " "
for j in range(3):
pstr += self.cube[4][i][j]
if(i != 2):
pstr += "\n"
return pstr
def __rotateClock(self, side):
temp = [self.cube[side][0][1], self.cube[side][0][2]]
self.cube[side][0][1] = self.cube[side][1][0]
self.cube[side][0][2] = self.cube[side][0][0]
self.cube[side][0][0] = self.cube[side][2][0]
self.cube[side][1][0] = self.cube[side][2][1]
self.cube[side][2][0] = self.cube[side][2][2]
self.cube[side][2][1] = self.cube[side][1][2]
self.cube[side][1][2] = temp[0]
self.cube[side][2][2] = temp[1]
temp = [self.cube[self.orientation[side][0]][self.rotmap[side][0][0]][self.rotmap[side][0][1]], self.cube[self.orientation[side][0]][self.rotmap[side][1][0]][self.rotmap[side][1][1]], self.cube[self.orientation[side][0]][self.rotmap[side][2][0]][self.rotmap[side][2][1]]]
for i in range(3):
self.cube[self.orientation[side][0]][self.rotmap[side][0 + i][0]][self.rotmap[side][0 + i][1]] = self.cube[self.orientation[side][3]][self.rotmap[side][9 + i][0]][self.rotmap[side][9 + i][1]]
self.cube[self.orientation[side][3]][self.rotmap[side][9 + i][0]][self.rotmap[side][9 + i][1]] = self.cube[self.orientation[side][2]][self.rotmap[side][6 + i][0]][self.rotmap[side][6 + i][1]]
self.cube[self.orientation[side][2]][self.rotmap[side][6 + i][0]][self.rotmap[side][6 + i][1]] = self.cube[self.orientation[side][1]][self.rotmap[side][3 + i][0]][self.rotmap[side][3 + i][1]]
self.cube[self.orientation[side][1]][self.rotmap[side][3 + i][0]][self.rotmap[side][3 + i][1]] = temp[0 + i]
def __rotateAntiClock(self, side):
temp = [self.cube[side][0][1], self.cube[side][0][2]]
self.cube[side][0][1] = self.cube[side][1][2]
self.cube[side][0][2] = self.cube[side][2][2]
self.cube[side][1][2] = self.cube[side][2][1]
self.cube[side][2][2] = self.cube[side][2][0]
self.cube[side][2][0] = self.cube[side][0][0]
self.cube[side][2][1] = self.cube[side][1][0]
self.cube[side][0][0] = temp[1]
self.cube[side][1][0] = temp[0]
temp = [self.cube[self.orientation[side][0]][self.rotmap[side][0][0]][self.rotmap[side][0][1]], self.cube[self.orientation[side][0]][self.rotmap[side][1][0]][self.rotmap[side][1][1]], self.cube[self.orientation[side][0]][self.rotmap[side][2][0]][self.rotmap[side][2][1]]]
for i in range(3):
self.cube[self.orientation[side][0]][self.rotmap[side][0 + i][0]][self.rotmap[side][0 + i][1]] = self.cube[self.orientation[side][1]][self.rotmap[side][3 + i][0]][self.rotmap[side][3 + i][1]]
self.cube[self.orientation[side][1]][self.rotmap[side][3 + i][0]][self.rotmap[side][3 + i][1]] = self.cube[self.orientation[side][2]][self.rotmap[side][6 + i][0]][self.rotmap[side][6 + i][1]]
self.cube[self.orientation[side][2]][self.rotmap[side][6 + i][0]][self.rotmap[side][6 + i][1]] = self.cube[self.orientation[side][3]][self.rotmap[side][9 + i][0]][self.rotmap[side][9 + i][1]]
self.cube[self.orientation[side][3]][self.rotmap[side][9 + i][0]][self.rotmap[side][9 + i][1]] = temp[0 + i]
def __rotateMidClock(self, type):
if(type == 'E'):
temp = [self.cube[0][1][0], self.cube[0][1][1], self.cube[0][1][2]]
for i in range(3):
self.cube[0][1][0 + i] = self.cube[3][1][0 + i]
self.cube[3][1][0 + i] = self.cube[2][1][0 + i]
self.cube[2][1][0 + i] = self.cube[1][1][0 + i]
self.cube[1][1][0 + i] = temp[0 + i]
elif(type == 'M'):
temp = [self.cube[0][0][1], self.cube[0][1][1], self.cube[0][2][1]]
for i in range(3):
self.cube[0][0 + i][1] = self.cube[5][0 + i][1]
self.cube[5][0 + i][1] = self.cube[2][2 - i][1]
self.cube[2][2 - i][1] = self.cube[4][0 + i][1]
self.cube[4][0 + i][1] = temp[0 + i]
elif(type == 'S'):
temp = [self.cube[5][1][0], self.cube[5][1][1], self.cube[5][1][2]]
for i in range(3):
self.cube[5][1][0 + i] = self.cube[3][2 - i][1]
self.cube[3][2 - i][1] = self.cube[4][1][2 - i]
self.cube[4][1][2 - i] = self.cube[1][0 + i][1]
self.cube[1][0 + i][1] = temp[0 + i]
def __rotateMidAntiClock(self, type):
if(type == 'E'):
temp = [self.cube[0][1][0], self.cube[0][1][1], self.cube[0][1][2]]
for i in range(3):
self.cube[0][1][0 + i] = self.cube[1][1][0 + i]
self.cube[1][1][0 + i] = self.cube[2][1][0 + i]
self.cube[2][1][0 + i] = self.cube[3][1][0 + i]
self.cube[3][1][0 + i] = temp[0 + i]
elif(type == 'M'):
temp = [self.cube[0][0][1], self.cube[0][1][1], self.cube[0][2][1]]
for i in range(3):
self.cube[0][0 + i][1] = self.cube[4][0 + i][1]
self.cube[4][0 + i][1] = self.cube[2][2 - i][1]
self.cube[2][2 - i][1] = self.cube[5][0 + i][1]
self.cube[5][0 + i][1] = temp[0 + i]
elif(type == 'S'):
temp = [self.cube[5][1][0], self.cube[5][1][1], self.cube[5][1][2]]
for i in range(3):
self.cube[5][1][0 + i] = self.cube[1][0 + i][1]
self.cube[1][0 + i][1] = self.cube[4][1][2 - i]
self.cube[4][1][2 - i] = self.cube[3][2 - i][1]
self.cube[3][2 - i][1] = temp[0 + i]
def __move(self, type):
if(type == 'U'):
self.__rotateClock(5)
elif(type == 'UP'):
self.__rotateAntiClock(5)
elif(type == 'D'):
self.__rotateClock(4)
elif(type == 'DP'):
self.__rotateAntiClock(4)
elif(type == 'R'):
self.__rotateClock(1)
elif(type == 'RP'):
self.__rotateAntiClock(1)
elif(type == 'L'):
self.__rotateClock(3)
elif(type == 'LP'):
self.__rotateAntiClock(3)
elif(type == 'F'):
self.__rotateClock(0)
elif(type == 'FP'):
self.__rotateAntiClock(0)
elif(type == 'B'):
self.__rotateClock(2)
elif(type == 'BP'):
self.__rotateAntiClock(2)
elif(type == 'E'):
self.__rotateMidClock('E')
elif(type == 'EP'):
self.__rotateMidAntiClock('E')
elif(type == 'M'):
self.__rotateMidClock('M')
elif(type == 'MP'):
self.__rotateMidAntiClock('M')
elif(type == 'S'):
self.__rotateMidClock('S')
elif(type == 'SP'):
self.__rotateMidAntiClock('S')
elif(type == 'x'):
self.__move('LP')
self.__move('MP')
self.__move('R')
elif(type == 'xP'):
self.__move('L')
self.__move('M')
self.__move('RP')
elif(type == 'y'):
self.__move('U')
self.__move('EP')
self.__move('DP')
elif(type == 'yP'):
self.__move('UP')
self.__move('E')
self.__move('D')
elif(type == 'z'):
self.__move('F')
self.__move('S')
self.__move('BP')
elif(type == 'zP'):
self.__move('FP')
self.__move('SP')
self.__move('B')
elif(type == 'u'):
self.__move('U')
self.__move('EP')
elif(type == 'uP'):
self.__move('UP')
self.__move('E')
elif(type == 'd'):
self.__move('D')
self.__move('E')
elif(type == 'dP'):
self.__move('DP')
self.__move('EP')
elif(type == 'r'):
self.__move('R')
self.__move('MP')
elif(type == 'rP'):
self.__move('RP')
self.__move('M')
elif(type == 'l'):
self.__move('L')
self.__move('M')
elif(type == 'lP'):
self.__move('LP')
self.__move('MP')
elif(type == 'f'):
self.__move('F')
self.__move('S')
elif(type == 'fP'):
self.__move('FP')
self.__move('SP')
elif(type == 'b'):
self.__move('B')
self.__move('SP')
elif(type == 'bP'):
self.__move('BP')
self.__move('S')
def doMoves(self, moves):
"""
Move or manipulate the cube using formulas.
"""
# moves is sent to parseFormula() to get the object understandable instructions
moves = parseFormula(moves)
for m in moves:
self.__move(m)
def getFaces(self):
"""
Deep copy the cube faces matrix array.
"""
return copy.deepcopy(self.cube)