import math
import matplotlib.pyplot as plt

screen_x, screen_y = (500, 500)
middle_screen = (screen_x/2, screen_y/2)
# point behind the middle
point_behind = (middle_screen[0], -750)
# middle point to the left
middle_point_in_screen = (middle_screen[0]-50, middle_screen[1])
# y = mx + b, y-y1 = m(x-x1)

radius_midpoint = 1250
# find a the slice of the circle from the middle
min_range = math.pi/2 - math.sin((middle_screen[1] - point_behind[1])/radius_midpoint)
max_range = math.pi/2

# pi/4 => pi/2
def create_list_rad(min_range, max_range = math.pi/2):
    min_pi = min_range
    radian_list = []
    while min_pi< max_range:
        radian_list.append(min_pi)
        min_pi += .001
    return radian_list


def find_xy(r, theta):
    return (int(r*math.cos(theta)), int(r*math.sin(theta)))

x_y_list = []
for i in create_list_rad(min_range):
    x_y_list.append(find_xy(radius_midpoint, i))

print(x_y_list)

x, y = list(zip(*x_y_list))
print(x)
print(y)

plt.plot(x,y)
plt.show()