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 draw_pattern_rectangle(x, y, width, height, count, radius, color='red'):
    rotation = 360 / count

    turtle.goto(x, y)
    
    for _ in range(count):
        # move from center to circle
        turtle.pu()
        #turtle.color('black')
        turtle.forward(radius)
        turtle.right(90+rotation/2)
        
        draw_rectangle(width, height, color)

        # move from circle to center
        turtle.pu()
        #turtle.color('black')
        turtle.left(90+rotation/2)
        turtle.backward(radius)

        # rotate in circle
        turtle.right(rotation) 

def draw_pattern_circle(x, y, r, count, radius, color='red'):
    rotation = 360 / count

    turtle.goto(x, y)

    for _ in range(count):
        # move from center to circle
        #turtle.pu()
        turtle.color('black')
        turtle.forward(radius)
        turtle.right(90)

        draw_circle(r, color)

        # move from circle to center
        #turtle.pu()
        turtle.color('black')
        turtle.left(90)
        turtle.backward(radius)

        # rotate in circle
        turtle.right(rotation) 

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 draw_leaf(turtle):
    turtle.fillcolor("greenyellow")
    turtle.begin_fill()
    
    base = turtle.pos()
    turtle.circle(100,75)
    turtle.goto(base)
    turtle.circle(-100,75)
    turtle.goto(base)
    turtle.end_fill() 

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 draw_circle(x, y, radius, red=50, green=255, blue=10, width=7):
    """ Draw a circle at a specific x, y location.
    Then draw four smaller circles recursively"""
    colour = (red, green, blue)

    # Recursively drawn smaller circles
    if radius > 50:
        # Calculate colours and line width for smaller circles
        if red < 216:
            red = red + 33
            green = green - 42
            blue = blue + 10
            width -= 1
        else:
            red = 0
            green = 255
        # Calculate the radius for the smaller circles
        new_radius = int(radius / 1.3)
        # Drawn four circles
        draw_circle(int(x + new_radius), y, new_radius, red, green, blue, width)
        draw_circle(x - new_radius, y, new_radius, red, green, blue, width)
        draw_circle(x, int(y + new_radius), new_radius, red, green, blue, width)
        draw_circle(x, int(y - new_radius), new_radius, red, green, blue, width)

    # Draw the original circle
    turtle.goto(x, y)
    turtle.color(colour)
    turtle.width(width)
    turtle.pendown()
    turtle.circle(radius)
    turtle.penup()


# Run the program 

def head():
    '''
    头
    '''
    t.color((255, 155, 192), "pink")
    t.pu()
    t.seth(90)
    t.fd(41)
    t.seth(0)
    t.fd(0)
    t.pd()
    t.begin_fill()
    t.seth(180)
    t.circle(300, -30)  # 顺时针画一个半径为300,圆心角为30°的园
    t.circle(100, -60)
    t.circle(80, -100)
    t.circle(150, -20)
    t.circle(60, -95)
    t.seth(161)
    t.circle(-300, 15)
    t.pu()
    t.goto(-100, 100)
    t.pd()
    t.seth(-30)
    a = 0.4
    for i in range(60):
        if 0 <= i < 30 or 60 <= i < 90:
            a = a + 0.08
            t.lt(3)  # 向左转3度
            t.fd(a)  # 向前走a的步长
        else:
            a = a - 0.08
            t.lt(3)
            t.fd(a)
    t.end_fill() 

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 line(a, b, x, y):
    "Draw line from `(a, b)` to `(x, y)`."
    import turtle
    turtle.up()
    turtle.goto(a, b)
    turtle.down()
    turtle.goto(x, y) 

def square(x, y, size, name):
    """Draw square at `(x, y)` with side length `size` and fill color `name`.

    The square is oriented so the bottom left corner is at (x, y).

    """
    import turtle
    turtle.up()
    turtle.goto(x, y)
    turtle.down()
    turtle.color(name)
    turtle.begin_fill()

    for count in range(4):
        turtle.forward(size)
        turtle.left(90)

    turtle.end_fill() 

def hexagone(point, longueur,c):
   l = longueur

   x, y = point

   turtle.up()
   turtle.goto(point)
   turtle.color(c[0]) #black
   turtle.down()
   turtle.begin_fill() 
   turtle.goto(l * cos(4 / 3 * pi )+x, l * sin(4 / 3 * pi)+y)
   turtle.goto(l * cos(5 / 3 * pi)+x, l * sin(5 / 3 * pi)+y)
   turtle.goto(l * cos(0)+x, l * sin(0)+y) 
   turtle.goto(point) 
   turtle.end_fill()

   turtle.color(c[1])  #blue
   turtle.begin_fill()
   turtle.goto(l * cos(0)+x, l * sin(0)+y) 
   turtle.goto(l * cos(pi / 3)+x, l * sin(pi / 3)+y)
   turtle.goto(l * cos(pi * 2 / 3)+x, l * sin(pi * 2 / 3)+y)
   turtle.goto(point)  
   turtle.end_fill()

   turtle.color(c[2]) #red
   turtle.begin_fill()
   turtle.goto(l * cos(pi * 2 / 3)+x, l * sin(pi * 2 / 3)+y)
   turtle.goto(-l+x, 0+y)
   turtle.goto(l * cos(4 / 3 * pi)+x, l * sin(4 / 3 * pi)+y)
   turtle.goto(point)
   turtle.end_fill()
   turtle.up()

   return True 

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) 

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(dx, dy):  # 连接当前点和相对坐标（dx，dy）的点
    te.pendown()
    te.goto(te.xcor() + dx, te.ycor() - dy)
    te.penup() 

def polyline(x1, y1, x2, y2, x3, y3):  # 做svg坐标下的折线
    te.penup()
    te.goto(-Width / 2 + x1, Height / 2 - y1)
    te.pendown()
    te.goto(-Width / 2 + x2, Height / 2 - y2)
    te.goto(-Width / 2 + x3, Height / 2 - y3)
    te.penup() 

def norse():
    '''
    鼻子
    '''
    t.pu()  # 提笔
    t.goto(-100, 100)  # 画笔前往坐标(-100,100)
    t.pd()  # 下笔
    t.seth(-30)  # 笔的角度为-30°
    t.begin_fill()  # 外形填充的开始标志
    a = 0.4
    for i in range(120):
        if 0 <= i < 30 or 60 <= i < 90:
            a = a + 0.08
            t.lt(3)  # 向左转3度
            t.fd(a)  # 向前走a的步长
        else:
            a = a - 0.08
            t.lt(3)
            t.fd(a)
    t.end_fill()  # 依据轮廓填充
    t.pu()  # 提笔
    t.seth(90)  # 笔的角度为90度
    t.fd(25)  # 向前移动25
    t.seth(0)  # 转换画笔的角度为0
    t.fd(10)
    t.pd()
    t.pencolor(255, 155, 192)  # 设置画笔颜色
    t.seth(10)
    t.begin_fill()
    t.circle(5)  # 画一个半径为5的圆
    t.color(160, 82, 45)  # 设置画笔和填充颜色
    t.end_fill()
    t.pu()
    t.seth(0)
    t.fd(20)
    t.pd()
    t.pencolor(255, 155, 192)
    t.seth(10)
    t.begin_fill()
    t.circle(5)
    t.color(160, 82, 45)
    t.end_fill()