确定点是否在椭圆内(Python和Pillow)

from PIL import Image, ImageDraw

def point_in_ellipse(x, y, h, k, a, b):
    # 计算点到椭圆中心的距离
    distance = ((x - h) / a) ** 2 + ((y - k) / b) ** 2
    
    # 判断点是否在椭圆内
    if distance <= 1:
        return True
    else:
        return False

# 创建一个空白图像
image = Image.new('RGB', (500, 500), 'white')
draw = ImageDraw.Draw(image)

# 定义椭圆参数
center_x = 250
center_y = 250
semi_major_axis = 200
semi_minor_axis = 100

# 绘制椭圆
draw.ellipse((center_x - semi_major_axis, center_y - semi_minor_axis,
              center_x + semi_major_axis, center_y + semi_minor_axis),
             outline='black')

# 定义一个测试点
test_x = 300
test_y = 300

# 判断测试点是否在椭圆内
if point_in_ellipse(test_x, test_y, center_x, center_y, semi_major_axis, semi_minor_axis):
    print("测试点在椭圆内")
else:
    print("测试点不在椭圆内")

# 保存图像
image.save('ellipse.png')