Gnerates bitmap of tilted ellipse

ellipse.py

import math

from PIL import Image


def ellipse(major, minor, angle):
    ang_r = math.radians(angle)

    width = major * 2
    heigth = major * 3
    print((width, heigth))
    im = Image.new("RGB", (width, heigth), (255, 255, 255))

    for x in range(width):
        for y in range(heigth):
            xn = width / 2 - x
            yn = heigth / 2 - y
            eq1 = ((xn * math.cos(ang_r) + yn * math.sin(ang_r)) ** 2 / major ** 2)
            eq2 = ((yn * math.cos(ang_r) - xn * math.sin(ang_r)) ** 2 / minor ** 2)

            fin = eq1 + eq2

            col = round(255 * fin)

            if fin <= 1:
                im.putpixel((x, y), (col, col, col))
    # im.save("ellipse_"+str(major)+"_"+str(minor)+"_"+str(angle)+".png")
    im.show()

# ellipse(300, 200, 45)