Notes

from math import *

from tkinter import *

class Hexagon(object):
def __init__(self, parent, x, y, length, color, tags):
self.parent = parent
self.x = x
self.y = y
self.length = length
self.color = color
self.size = None
self.tags = tags
self.draw_hex()

def draw_hex(self):
start_x = self.x
start_y = self.y
angle = 60
coords = []
for i in range(6):
end_x = start_x + self.length * cos(radians(angle * i))
end_y = start_y + self.length * sin(radians(angle * i))
coords.append([start_x, start_y])
start_x = end_x
start_y = end_y
self.parent.create_polygon(coords[0][0],
coords[0][1],
coords[1][0],
coords[1][1],
coords[2][0],
coords[2][1],
coords[3][0],
coords[3][1],
coords[4][0],
coords[4][1],
coords[5][0],
coords[5][1],
fill=self.color,
outline="black",
tags=self.tags)

class FrequencyReuse(Tk):
CANVAS_WIDTH = 800
CANVAS_HEIGHT = 650
TOP_LEFT = (20, 20)
BOTTOM_LEFT = (790, 560)
TOP_RIGHT = (780, 20)
BOTTOM_RIGHT = (780, 560)

def __init__(self, cluster_size, columns=16, rows=10, edge_len=30):
Tk.__init__(self)
self.textbox = None
self.curr_angle = 330
self.first_click = True
self.reset = False
self.edge_len = edge_len
self.cluster_size = cluster_size
self.reuse_list = []
self.all_selected = False
self.curr_count = 0
self.hexagons = []
self.co_cell_endp = []
self.reuse_xy = []
self.canvas = Canvas(self,
width=self.CANVAS_WIDTH,
height=self.CANVAS_HEIGHT,
bg="#4dd0e1")
self.canvas.bind("<Button-1>", self.call_back)
self.canvas.focus_set()
self.canvas.bind('<Shift-R>', self.resets)
self.canvas.pack()
self.title("Frequency reuse and co-channel selection")
self.create_grid(16, 10)
self.create_textbox()
self.cluster_reuse_calc()

def show_lines(self):
approx_center = self.co_cell_endp[0]
self.line_ids = []
for k in range(1, len(self.co_cell_endp)):

end_xx = (self.co_cell_endp[k])[0]
end_yy = (self.co_cell_endp[k])[1]

l_id = self.canvas.create_line(approx_center[0], approx_center[1],
end_xx, end_yy)
if j == 0:
self.line_ids.append(l_id)
dist = 0
elif i >= j and j != 0:
self.line_ids.append(l_id)
dist = j
l_id = self.canvas.create_line(
end_xx, end_yy, end_xx + self.center_dist * dist *
cos(radians(self.curr_angle - 60)),
end_yy + self.center_dist * dist *
sin(radians(self.curr_angle - 60)))
self.line_ids.append(l_id)
self.curr_angle -= 60

def create_textbox(self):
txt = Text(self.canvas,
width=80,
height=1,
font=("Helvatica", 12),
padx=10,
pady=10)
txt.tag_configure("center", justify="center")
txt.insert("1.0", "Select a Hexagon")
txt.tag_add("center", "1.0", "end")
self.canvas.create_window((0, 600), anchor='w', window=txt)
txt.config(state=DISABLED)
self.textbox = txt

def resets(self, event):
if event.char == 'R':
self.reset_grid()

def reset_grid(self, button_reset=False):
self.first_click = True
self.curr_angle = 330
self.curr_count = 0
self.co_cell_endp = []
self.reuse_list = []
for i in self.hexagons:
self.canvas.itemconfigure(i.tags, fill=i.color)

try:
self.line_ids
except AttributeError:
pass
else:
for i in self.line_ids:
self.canvas.after(0, self.canvas.delete, i)
self.line_ids = []

if button_reset:
self.write_text("Select a Hexagon")

def create_grid(self, cols, rows):
size = self.edge_len
for c in range(cols):
if c % 2 == 0:
offset = 0
else:
offset = size * sqrt(3) / 2
for r in range(rows):
x = c * (self.edge_len * 1.5) + 50
y = (r * (self.edge_len * sqrt(3))) + offset + 15
hx = Hexagon(self.canvas, x, y, self.edge_len, "#fafafa",
"{},{}".format(r, c))
self.hexagons.append(hx)

def cluster_reuse_calc(self):
self.hex_radius = sqrt(3) / 2 * self.edge_len
self.center_dist = sqrt(3) * self.hex_radius
self.reuse_dist = self.hex_radius * sqrt(3 * self.cluster_size)

def write_text(self, text):
self.textbox.config(state=NORMAL)
self.textbox.delete('1.0', END)
self.textbox.insert('1.0', text, "center")
self.textbox.config(state=DISABLED)

def is_within_bound(self, coords):
if self.TOP_LEFT[0] < coords[0] < self.BOTTOM_RIGHT[0]
and self.TOP_RIGHT[1] < coords[1] < self.BOTTOM_RIGHT[1]:
return True
return False

def call_back(self, evt):

selected_hex_id = self.canvas.find_closest(evt.x, evt.y)[0]
hexagon = self.hexagons[int(selected_hex_id - 1)]
s_x, s_y = hexagon.x, hexagon.y
approx_center = (s_x + 15, s_y + 25)

if self.first_click:
self.first_click = False
self.write_text(
"""Now, select another hexagon such
that it should be a co-cell of
the original hexagon."""
)
self.co_cell_endp.append(approx_center)
self.canvas.itemconfigure(hexagon.tags, fill="green")

for _ in range(6):

end_xx = approx_center[0] + self.center_dist * i * cos(
radians(self.curr_angle))
end_yy = approx_center[1] + self.center_dist * i * sin(
radians(self.curr_angle))

reuse_x = end_xx + (self.center_dist * j) * cos(
radians(self.curr_angle - 60))
reuse_y = end_yy + (self.center_dist * j) * sin(
radians(self.curr_angle - 60))
print("end: ",end_xx,", ",end_yy)
if not self.is_within_bound((reuse_x, reuse_y)):
self.write_text(
"""co-cells are exceeding canvas boundary.
Select cell in the center"""
)
self.reset_grid()
break

if j == 0:
print(self.canvas.find_closest(end_xx,end_yy))
self.reuse_list.append(
self.canvas.find_closest(end_xx, end_yy)[0])
elif i >= j and j != 0:
print(self.canvas.find_closest(reuse_x,reuse_y))
self.reuse_list.append(
self.canvas.find_closest(reuse_x, reuse_y)[0])

self.co_cell_endp.append((end_xx, end_yy))
self.curr_angle -= 60

else:
print("Reuse: ",self.reuse_list)
curr = self.canvas.find_closest(s_x, s_y)[0]
if curr in self.reuse_list:
self.canvas.itemconfigure(hexagon.tags, fill="green")
self.write_text("Correct! Cell {} is a co-cell.".format(
hexagon.tags))
if self.curr_count == len(self.reuse_list) - 1:
self.write_text("Great! Press Shift-R to restart")
self.show_lines()
self.curr_count += 1

else:
self.write_text("Incorrect! Cell {} is not a co-cell.".format(
hexagon.tags))
self.canvas.itemconfigure(hexagon.tags, fill="red")

if __name__ == '__main__':
print("n(common values of (i,j)are: (1,0), (1,1), (2,0), (2,1), (3,0), (2,2).n")
i = int(input("Enter i: "))
j = int(input("Enter j: "))
if i == 0 and j == 0:
raise ValueError("i & j both cannot be zero")
elif j > i:
raise ValueError("value of j cannot be greater than i")
else:
N = (i**2 + i * j + j**2)
print("N is {}".format(N))
freqreuse = FrequencyReuse(cluster_size=N)
freqreuse.mainloop()