def Bezier_3(x1, y1, x2, y2, x3, y3, x4, y4):  # 三阶贝塞尔函数
    x1 = -Width / 2 + x1
    y1 = Height / 2 - y1
    x2 = -Width / 2 + x2
    y2 = Height / 2 - y2
    x3 = -Width / 2 + x3
    y3 = Height / 2 - y3
    x4 = -Width / 2 + x4
    y4 = Height / 2 - y4  # 坐标变换
    te.goto(x1, y1)
    te.pendown()
    for t in range(0, WriteStep + 1):
        x = Bezier(Bezier(Bezier(x1, x2, t / WriteStep), Bezier(x2, x3, t / WriteStep), t / WriteStep),
                   Bezier(Bezier(x2, x3, t / WriteStep), Bezier(x3, x4, t / WriteStep), t / WriteStep), t / WriteStep)
        y = Bezier(Bezier(Bezier(y1, y2, t / WriteStep), Bezier(y2, y3, t / WriteStep), t / WriteStep),
                   Bezier(Bezier(y2, y3, t / WriteStep), Bezier(y3, y4, t / WriteStep), t / WriteStep), t / WriteStep)
        te.goto(x, y)
    te.penup() 

def setup_screen(title, background='white', screen_size_x=640, screen_size_y=320, tracer_size=200):
    print('Set up Screen')
    turtle.title(title)
    turtle.setup(screen_size_x, screen_size_y)
    turtle.hideturtle()
    turtle.penup()
    turtle.backward(240)
    turtle.tracer(tracer_size)
    turtle.bgcolor(background)  # Set the background colour of the screen 

def __init__(
                self,
                screen_width = 800,
                screen_height = 600,
                background_color = "black",
                title = "Simple Game Library by /u/wynand1004 AKA @TokyoEdTech",
                splash_time = 3):

        # Setup using Turtle module methods
        turtle.setup(width=screen_width, height=screen_height)
        turtle.bgcolor(background_color)
        turtle.title(title)
        turtle.tracer(0) # Stop automatic screen refresh
        turtle.listen() # Listen for keyboard input
        turtle.hideturtle() # Hides default turtle
        turtle.penup() # Puts pen up for defaut turtle
        turtle.setundobuffer(0) # Do not keep turtle history in memory
        turtle.onscreenclick(self.click)

        # Game Attributes
        self.SCREEN_WIDTH = screen_width
        self.SCREEN_HEIGHT = screen_height
        self.DATAFILE = "game.dat"
        self.SPLASHFILE = "splash.gif" # Must be in the same folder as game file

        self.fps = 30.0 # Lower this on slower computers or with large number of sprites
        self.title = title
        self.gravity = 0
        self.state = "showsplash"
        self.splash_time = splash_time

        self.time = time.time()

        # Clear the terminal and print the game title
        self.clear_terminal_screen()
        print (self.title)

        # Show splash
        self.show_splash(self.splash_time)

    # Pop ups 

def __init__(self,
                text,
                color,
                x = 0,
                y = 0,
                font_name = "Arial",
                font_size = 12,
                font_type = "normal",
                align = "left"):

        turtle.Turtle.__init__(self)
        self.hideturtle()
        self.penup()
        self.goto(x, y)
        self.color(color)
        self.font = (font_name, font_size, font_type)
        self.align = align

        # Attributes
        self.text = text


        # Append to master label list
        Game.labels.append(self) 

def item(lenght, level, color):
    if level <= 0:
        return
    
    for _ in range(5):    # 5
        turtle.color(colors[color])
        turtle.forward(lenght)
        
        item(lenght/4, level-1, color+1)
        
        turtle.penup() # there is no need to draw again the same line  (and it can use differnt color)
        turtle.backward(lenght)
        turtle.pendown()
        
        turtle.right(360/8) # 8
    
    turtle.right(360/8 * 3) # 3 = 8 - 5 

def Bezier_3(x1, y1, x2, y2, x3, y3, x4, y4):  # 三阶贝塞尔函数
    x1 = -Width / 2 + x1
    y1 = Height / 2 - y1
    x2 = -Width / 2 + x2
    y2 = Height / 2 - y2
    x3 = -Width / 2 + x3
    y3 = Height / 2 - y3
    x4 = -Width / 2 + x4
    y4 = Height / 2 - y4  # 坐标变换
    te.goto(x1, y1)
    te.pendown()
    for t in range(0, WriteStep + 1):
        x = Bezier(Bezier(Bezier(x1, x2, t / WriteStep), Bezier(x2, x3, t / WriteStep), t / WriteStep),
                   Bezier(Bezier(x2, x3, t / WriteStep), Bezier(x3, x4, t / WriteStep), t / WriteStep), t / WriteStep)
        y = Bezier(Bezier(Bezier(y1, y2, t / WriteStep), Bezier(y2, y3, t / WriteStep), t / WriteStep),
                   Bezier(Bezier(y2, y3, t / WriteStep), Bezier(y3, y4, t / WriteStep), t / WriteStep), t / WriteStep)
        te.goto(x, y)
    te.penup() 

def writetext(text,color,x,y):
   for i in range(1,10):
      turtle.penup()
      turtle.setx(x)
      turtle.sety(y)
      turtle.pendown
   
   turtle.pencolor(color)
   turtle.write(text,move=True, font=("Arial",16,"normal")) 

def Bezier_2(x1, y1, x2, y2, x3, y3):  # 二阶贝塞尔函数
    te.goto(x1, y1)
    te.pendown()
    for t in range(0, WriteStep + 1):
        x = Bezier(Bezier(x1, x2, t / WriteStep),
                   Bezier(x2, x3, t / WriteStep), t / WriteStep)
        y = Bezier(Bezier(y1, y2, t / WriteStep),
                   Bezier(y2, y3, t / WriteStep), t / WriteStep)
        te.goto(x, y)
    te.penup() 

def Moveto(x, y):  # 移动到svg坐标下（x，y）
    te.penup()
    te.goto(-Width / 2 + x, Height / 2 - y)
    te.pendown() 

def Moveto_r(dx, dy):
    te.penup()
    te.goto(te.xcor() + dx, te.ycor() - dy)
    te.pendown() 

def line(x1, y1, x2, y2):  # 连接svg坐标下两点
    te.penup()
    te.goto(-Width / 2 + x1, Height / 2 - y1)
    te.pendown()
    te.goto(-Width / 2 + x2, Height / 2 - y2)
    te.penup() 

def Lineto(x, y):  # 连接当前点和svg坐标下（x，y）
    te.pendown()
    te.goto(-Width / 2 + x, Height / 2 - y)
    te.penup() 

def Curveto(x1, y1, x2, y2, x, y):  # 三阶贝塞尔曲线到（x，y）
    te.penup()
    X_now = te.xcor() + Width / 2
    Y_now = Height / 2 - te.ycor()
    Bezier_3(X_now, Y_now, x1, y1, x2, y2, x, y)
    global Xh
    global Yh
    Xh = x - x2
    Yh = y - y2 

def Curveto_r(x1, y1, x2, y2, x, y):  # 三阶贝塞尔曲线到相对坐标（x，y）
    te.penup()
    X_now = te.xcor() + Width / 2
    Y_now = Height / 2 - te.ycor()
    Bezier_3(X_now, Y_now, X_now + x1, Y_now + y1,
             X_now + x2, Y_now + y2, X_now + x, Y_now + y)
    global Xh
    global Yh
    Xh = x - x2
    Yh = y - y2 

def move(distance):
	turtle.penup()
	turtle.forward(distance)
	turtle.pendown() 

def start():
	# 不显示绘制时钟的过程
	turtle.tracer(False)
	turtle.mode('logo')
	createHand('second_hand', 150)
	createHand('minute_hand', 125)
	createHand('hour_hand', 85)
	# 秒, 分, 时
	second_hand = turtle.Turtle()
	second_hand.shape('second_hand')
	minute_hand = turtle.Turtle()
	minute_hand.shape('minute_hand')
	hour_hand = turtle.Turtle()
	hour_hand.shape('hour_hand')
	for hand in [second_hand, minute_hand, hour_hand]:
		hand.shapesize(1, 1, 3)
		hand.speed(0)
	# 用于打印日期等文字
	printer = turtle.Turtle()
	printer.hideturtle()
	printer.penup()
	createClock(160)
	# 开始显示轨迹
	turtle.tracer(True)
	startTick(second_hand, minute_hand, hour_hand, printer)
	turtle.mainloop() 

def setup_screen(title, background='white', screen_size_x=640, screen_size_y=320, tracer_size=800):
    print('Set up Screen')
    turtle.title(title)
    turtle.setup(screen_size_x, screen_size_y)
    turtle.hideturtle()
    turtle.penup()
    turtle.backward(240)
    # Batch drawing to the screen for faster rendering
    turtle.tracer(tracer_size)
    turtle.bgcolor(background)  # Set the background colour of the screen 

def setup_screen(title, background = 'white'):
    print('Set up Screen')
    turtle.title(title)
    turtle.setup(640, 600)
    turtle.hideturtle()
    turtle.penup()
    turtle.tracer(200)
    turtle.bgcolor(background)  # Set the background colour of the screen 

def draw_snowflake(size):
    """ Draw a picture of a snowflake """
    turtle.penup()
    turtle.forward(10 * size)
    turtle.left(45)
    turtle.pendown()
    turtle.color(generate_random_colour())

    # draw branch 8 times to make a snowflake
    for _ in range(8):
        draw_branch(size)
        turtle.forward(size)
        turtle.left(45)

    turtle.penup() 

def setup_screen(title, background='white', screen_size_x=640, screen_size_y=320, tracer_size=200):
    """ Sets up Turtle screen with useful defaults """
    print('Set up Screen')
    turtle.title(title)
    turtle.setup(screen_size_x, screen_size_y)
    turtle.hideturtle()
    turtle.penup()
    turtle.backward(240)
    turtle.tracer(tracer_size)
    turtle.bgcolor(background)  # Set the background colour of the screen 

def arc(sa, ea, x, y, r):  # start angle,end angle,circle center,radius
    turtle.penup()
    turtle.goto(x, y)
    turtle.setheading(0)
    turtle.left(sa)
    turtle.fd(r)
    turtle.pendown()
    turtle.left(90)
    turtle.circle(r, (ea - sa))
    return turtle.position() 

def __init__(self,
                text,
                color,
                x = 0,
                y = 0,
                font_name = "Arial",
                font_size = 12,
                font_type = "normal",
                align = "left"):

        turtle.Turtle.__init__(self)
        self.hideturtle()
        self.penup()
        self.goto(x, y)
        self.color(color)
        self.font_name = font_name
        self.font_size = font_size
        self.font_type = font_type
        self.font = (font_name, font_size, font_type)
        self.align = align

        # Attributes
        self.text = text

        # Append to master label list
        Game.labels.append(self) 

def __init__(self,
                shape,
                color,
                x = 0,
                y = 0):

        turtle.Turtle.__init__(self)
        # self.hideturtle()
        self.penup()
        # Register shape if it is a .gif file
        if shape.endswith(".gif"):
            try:
                turtle.register_shape(shape)
            except:
                Game.logs.append("Warning: {} file missing from disk.".format(shape))

                # Set placeholder shape
                shape = "square"

        self.shape(shape)
        self.color(color)
        self.goto(x, y)

        #Set click binding
        self.onclick(self.click)

        # Append to master button list
        Game.buttons.append(self) 

def __init__(
                self,
                screen_width = 800,
                screen_height = 600,
                background_color = "black",
                title = "Simple Game Library by /u/wynand1004 AKA @TokyoEdTech",
                splash_time = 3):

        # Setup using Turtle module methods
        turtle.setup(width=screen_width, height=screen_height)
        turtle.bgcolor(background_color)
        turtle.title(title)
        turtle.tracer(0) # Stop automatic screen refresh
        turtle.listen() # Listen for keyboard input
        turtle.hideturtle() # Hides default turtle
        turtle.penup() # Puts pen up for defaut turtle
        turtle.setundobuffer(0) # Do not keep turtle history in memory
        turtle.onscreenclick(self.click)

        # Game Attributes
        self.FPS = 30.0 # Lower this on slower computers or with large number of sprites
        self.SCREEN_WIDTH = screen_width
        self.SCREEN_HEIGHT = screen_height
        self.DATAFILE = "game.dat"
        self.SPLASHFILE = "splash.gif" # Must be in the same folder as game file

        self.title = title
        self.gravity = 0
        self.state = "showsplash"
        self.splash_time = splash_time

        self.time = time.time()

        # Clear the terminal and print the game title
        self.clear_terminal_screen()
        print (self.title)

        # Show splash
        self.show_splash(self.splash_time)

    # Pop ups 

def __init__(self,
                shape,
                color,
                x = 0,
                y = 0):

        turtle.Turtle.__init__(self)
        # self.hideturtle()
        self.penup()
        # Register shape if it is a .gif file
        if shape.endswith(".gif"):
            try:
                turtle.register_shape(shape)
            except:
                Game.logs.append("Warning: {} file missing from disk.".format(shape))

                # Set placeholder shape
                shape = "square"

        self.shape(shape)
        self.color(color)
        self.goto(x, y)

        #Set click binding
        self.onclick(self.click)

        # Append to master button list
        Game.buttons.append(self) 

def __init__(
                self,
                screen_width = 800,
                screen_height = 600,
                background_color = "black",
                title = "Simple Game Library by /u/wynand1004 AKA @TokyoEdTech",
                splash_time = 3):

        # Setup using Turtle module methods
        turtle.setup(width=screen_width, height=screen_height)
        turtle.bgcolor(background_color)
        turtle.title(title)
        turtle.tracer(0) # Stop automatic screen refresh
        turtle.listen() # Listen for keyboard input
        turtle.hideturtle() # Hides default turtle
        turtle.penup() # Puts pen up for defaut turtle
        turtle.setundobuffer(0) # Do not keep turtle history in memory
        turtle.onscreenclick(self.click)

        # Game Attributes
        self.FPS = 30.0 # Lower this on slower computers or with large number of sprites
        self.SCREEN_WIDTH = screen_width
        self.SCREEN_HEIGHT = screen_height
        self.DATAFILE = "game.dat"
        self.SPLASHFILE = "splash.gif" # Must be in the same folder as game file

        self.title = title
        self.gravity = 0
        self.state = "showsplash"
        self.splash_time = splash_time

        self.time = time.time()

        # Clear the terminal and print the game title
        self.clear_terminal_screen()
        print (self.title)

        # Show splash
        self.show_splash(self.splash_time)

    # Pop ups 

def __init__(self,
                text,
                color,
                x = 0,
                y = 0,
                font_name = "Arial",
                font_size = 12,
                font_type = "normal",
                align = "left"):

        turtle.Turtle.__init__(self)
        self.hideturtle()
        self.penup()
        self.goto(x, y)
        self.color(color)
        self.font_name = font_name
        self.font_size = font_size
        self.font_type = font_type
        self.font = (font_name, font_size, font_type)
        self.align = align

        # Attributes
        self.text = text

        # Append to master label list
        Game.labels.append(self) 

def __init__(self,
                shape,
                color,
                x = 0,
                y = 0):

        turtle.Turtle.__init__(self)
        # self.hideturtle()
        self.penup()
        # Register shape if it is a .gif file
        if shape.endswith(".gif"):
            try:
                turtle.register_shape(shape)
            except:
                Game.logs.append("Warning: {} file missing from disk.".format(shape))

                # Set placeholder shape
                shape = "square"

        self.shape(shape)
        self.color(color)
        self.goto(x, y)

        #Set click binding
        self.onclick(self.click)

        # Append to master button list
        Game.buttons.append(self) 

def item(lenght, level, color):
    if level <= 0:
        return
    
    for _ in range(8):
        turtle.color(colors[color])
        turtle.forward(lenght)
        
        item(lenght/4, level-1, color+1)
        
        turtle.penup() # there is no need to draw again the same line (and it can use differnt color)
        turtle.backward(lenght)
        turtle.pendown()
        
        turtle.right(360/8) 

def Bezier_2(x1, y1, x2, y2, x3, y3):  # 二阶贝塞尔函数
    te.goto(x1, y1)
    te.pendown()
    for t in range(0, WriteStep + 1):
        x = Bezier(Bezier(x1, x2, t / WriteStep),
                   Bezier(x2, x3, t / WriteStep), t / WriteStep)
        y = Bezier(Bezier(y1, y2, t / WriteStep),
                   Bezier(y2, y3, t / WriteStep), t / WriteStep)
        te.goto(x, y)
    te.penup()