# tk_star2circle_morph2.py

# tk_star2circle_morph2.py

import tkinter as tk
from math import sin, cos, pi

SZ = 600
center_x = center_y = SZ // 2
radius = 280
num_points = 10
vectors = 500
t = 0

root = tk.Tk()
root.geometry(f"{SZ}x{SZ}+0+0")
root.title("tk_star2circle_morph.py")
canvas = tk.Canvas(root, width=SZ, height=SZ, bg="blue")
canvas.pack(fill=tk.BOTH, expand=True)

def interpolate(percent, start, stop):
    return start + percent * (stop - start)

def get_star_shape():
    points = []
    for i in range(num_points):
        angle = i * 2 * pi / num_points - pi / 2
        r = radius if i % 2 == 0 else radius / 2.5
        x = center_x + r * cos(angle)
        y = center_y + r * sin(angle)
        points.append((x, y))

    vectors_list = []
    k = vectors // num_points
    p = 1 / k
    for i in range(vectors):
        j = (i * num_points) // vectors
        percent = (i % k) * p
        start = points[j]
        end = points[(j + 1) % num_points]
        x = interpolate(percent, start[0], end[0])
        y = interpolate(percent, start[1], end[1])
        vectors_list.extend((x, y))

    return vectors_list

circle_points = []
tmp = 2 * pi / vectors
for i in range(vectors):
    angle = i * tmp + pi
    x = center_x + radius * cos(angle)
    y = center_y + radius * sin(angle)
    circle_points.extend((x, y))

def plot():
    canvas.create_polygon(obj, outline="yellow", width=2, fill="yellow")

star_points = get_star_shape()
obj = star_points[:]
plot()

def morph_to_circle(target_points):
    factor = 0.5 * (1 + sin(t))  # Morphing factor between 0 and 1
    vectors_list = []
    for i in range(0, vectors * 2, 2):
        x = interpolate(factor, target_points[i], circle_points[i])
        y = interpolate(factor, target_points[i+1], circle_points[i+1])
        vectors_list.extend((x, y))
    return vectors_list

def update_animation():
    global t, obj
    canvas.delete("all")
    obj = morph_to_circle(star_points)

    plot()

    t += 0.05
    root.after(10, update_animation)

update_animation()
root.mainloop()