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PllTools.py
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PllTools.py
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from __future__ import annotations
import random
import time
from typing import Tuple, List, Union
import numpy as np
import pyglet
from numpy import ndarray
from pyglet import shapes
from pyglet.graphics import Batch
from pyglet.gl import *
def main():
window_width = 1600
window_height = 1600
viewer = PllViewer(window_width, window_height)
p10_14 = create_PLL_permutation(10, 14)
p10_22 = create_PLL_permutation(10, 22)
edge_cycle = p10_14 @ p10_22
table_size = 3
table_array = []
for row_idx in range(table_size):
row = []
for col_idx in range(table_size):
row.append(PllState())
table_array.append(row)
tile_size = 300
top_row_drawer = PllStateDrawer(tile_size=tile_size, position=(tile_size, 0))
left_col_drawer = PllStateDrawer(tile_size=tile_size, position=(0, tile_size))
table_drawer = PllStateDrawer(tile_size=tile_size, position=(tile_size, tile_size))
generated_state_list = generate_state_list(edge_cycle, 3)
top_row_drawer.prepare_pll_list(generated_state_list)
left_col_drawer.prepare_pll_list(generated_state_list, as_row=False)
table_drawer.prepare_pll_2d_array(table_array)
viewer.add_drawer(top_row_drawer)
viewer.add_drawer(left_col_drawer)
viewer.add_drawer(table_drawer)
viewer.start()
class PllViewer(pyglet.window.Window):
sim_dt: float
drawers: List[PllStateDrawer]
def __init__(self, width: int, height: int):
super(PllViewer, self).__init__(width, height)
self.sim_dt = 1.0 / 60.0
self.drawers = []
def start(self):
grey_shade = 0.25
glClearColor(grey_shade, grey_shade, grey_shade, 1.0)
pyglet.clock.schedule_interval(self.my_tick, self.sim_dt)
pyglet.app.run()
# Runs every frame at rate dt
def my_tick(self, dt):
self.render()
def render(self):
self.clear()
glPushMatrix()
glTranslated(0, self.height, 0)
glScaled(1, -1, 1)
for drawer in self.drawers:
drawer.draw()
glPopMatrix()
def add_drawer(self, drawer: PllStateDrawer):
self.drawers.append(drawer)
class PllState:
tiles: ndarray
permutation: ndarray
colors = {
"yellow": (255, 255, 0),
"red": (255, 0, 0),
"green": (0, 255, 0),
"blue": (0, 0, 255),
"white": (255, 255, 255),
"orange": (255, 100, 0)
}
color_names = list(colors.keys())
def __init__(self, tiles: ndarray = None, permutation: ndarray = None):
self.tiles = tiles
self.permutation = permutation
if self.tiles is None:
self.tiles = PllState.solved_pll_tiles()
if self.permutation is None:
self.permutation = np.eye(25)
def __mul__(self, other) -> PllState:
# self * other
rhs_permutation = None
if type(other) == self.__class__:
rhs_permutation = other.permutation
elif type(other) == ndarray:
rhs_permutation = other
assert (rhs_permutation is not None)
resultant_permutation = self.permutation @ rhs_permutation
resultant_tiles = get_permuted_tiles(self.tiles, rhs_permutation)
resultant_state = PllState(resultant_tiles, resultant_permutation)
return resultant_state
@staticmethod
def solved_pll_tiles() -> ndarray:
state_array = np.zeros((5, 5), dtype=np.int)
state_array[0, 1:4] = PllState.get_color_idx("green")
state_array[-1, 1:4] = PllState.get_color_idx("blue")
state_array[1:4, 0] = PllState.get_color_idx("orange")
state_array[1:4, -1] = PllState.get_color_idx("red")
return state_array
@staticmethod
def get_color_idx(color_name: str) -> int:
return PllState.color_names.index(color_name)
class PllStateDrawer:
batch: Batch
rects: List[shapes.Rectangle]
def __init__(self, batch: Batch = None, position: Tuple[float] = None, tile_size: float = 500):
if batch is not None:
self.batch = batch
else:
self.batch = Batch()
if position is not None:
self.position = position
else:
self.position = (0.0, 0.0)
self.state_size = tile_size
self.rects = []
def prepare_state(self, pll_state: PllState, state_position: Tuple[float]):
state_position = tuple(value - self.state_size / 2 for value in state_position)
r, c = pll_state.tiles.shape
assert (r == c)
num_rows = r
# Compute size of components
gap_portion = 0.2
gap_size = gap_portion * self.state_size / (num_rows + 1)
tile_portion = 1.0 - gap_portion
tile_size = tile_portion * self.state_size / num_rows
extremes = [0, num_rows - 1]
for row_idx in range(num_rows):
for col_idx in range(num_rows):
color_id = pll_state.tiles[row_idx][col_idx]
color = PllState.colors[PllState.color_names[color_id]]
tile_x = self.position[0] + state_position[0] + (col_idx + 1) * gap_size + col_idx * tile_size
tile_y = self.position[1] + state_position[1] + ((row_idx + 1) * (gap_size + tile_size))
# Set batch to None for corners
to_draw = (row_idx in extremes) and (col_idx in extremes)
batch = None if to_draw else self.batch
rect = shapes.Rectangle(
tile_x, tile_y,
tile_size, tile_size,
color=color, batch=batch
)
self.rects.append(rect)
def prepare_pll_list(self, pll_state_list: List[PllState], as_row: bool = True):
positions = self.__get_pll_list_positions(pll_state_list, as_row)
for state_idx, state in enumerate(pll_state_list):
self.prepare_state(state, positions[state_idx])
def __get_pll_list_positions(self, pll_state_list: List[PllState], row_vector: bool = True) -> List[Tuple[float]]:
positions = []
for state_idx, state in enumerate(pll_state_list):
x_i = self.state_size * (state_idx + 0.5)
y_i = self.state_size / 2.0
if row_vector:
position = tuple(map(float, (x_i, y_i)))
else:
position = tuple(map(float, (y_i, x_i)))
positions.append(position)
return positions
def prepare_pll_2d_array(self, pll_states_array: List[List[PllState]]):
positions = self.__get_pll_2d_array_positions(pll_states_array)
num_rows = len(pll_states_array)
num_cols = len(pll_states_array[0])
for row_idx in range(num_rows):
for col_idx in range(num_cols):
self.prepare_state(pll_states_array[row_idx][col_idx], positions[row_idx][col_idx])
def __get_pll_2d_array_positions(self, pll_states_array: List[List[PllState]]) -> List[List[Tuple[float]]]:
position_table = []
num_rows = len(pll_states_array)
num_cols = len(pll_states_array[0])
for row_idx in range(num_rows):
row = []
for col_idx in range(num_cols):
x_i = self.state_size * (row_idx + 0.5)
y_i = self.state_size * (col_idx + 0.5)
position = tuple(map(float, (x_i, y_i)))
row.append(position)
position_table.append(row)
return position_table
def draw(self):
self.batch.draw()
def tuple_cast(tup: Tuple, to_type: type):
return tuple(map(to_type, tup))
def generate_state_list(permutation: ndarray, list_size: int) -> List[PllState]:
state_list = [PllState()]
for state_idx in range(1, list_size):
state = state_list[-1] * permutation
state_list.append(state)
return state_list
def create_PLL_permutation(i: int, j: int) -> ndarray:
return create_permutation_matrix(i, j, 25)
def create_permutation_matrix(i: int, j: int, n: int) -> ndarray:
Pij = np.eye(n, dtype=np.int)
temp = Pij[i, :].copy()
Pij[i, :] = Pij[j, :]
Pij[j, :] = temp
return Pij
def get_permuted_tiles(state: ndarray, permutation: ndarray) -> ndarray:
state_shape = state.shape
return (state.reshape(-1) @ permutation).reshape(state_shape)
if __name__ == '__main__':
main()