测量最近的距离

Question

我需要找到这两个椭圆之间最近的距离。 有没有什么方法可以通过代码找到

多谢各位。

这是我的密码

    #Elliptical orbits

import pygame
import math
import sys

pygame.init()
screen = pygame.display.set_mode((1000, 300))
pygame.display.set_caption("Elliptical orbit")
clock = pygame.time.Clock()

while(True):
    for event in pygame.event.get():
        if event.type == pygame.QUIT:
            sys.exit()

    xRadius = 250
    yRadius = 100
    x2Radius = 100
    y2Radius = 50

    for degree in range(0,360,10):
        x1 = int(math.cos(degree * 2 * math.pi / 360) * xRadius) + 300
        y1 = int(math.sin(degree * 2 * math.pi / 360) * yRadius) + 150
        x2 = int(math.cos(degree * 2 * math.pi / 360) * x2Radius) + 300
        y2 = int(math.sin(degree * 2 * math.pi / 360) * y2Radius) + 150
        screen.fill((0, 0, 0))
        pygame.draw.circle(screen, (255, 0, 0), [300, 150], 35)
        pygame.draw.ellipse(screen, (255, 255, 255), [50, 50, 500, 200], 1)
        pygame.draw.ellipse(screen, (255, 0, 255), [200, 100, 200, 100], 1)
        pygame.draw.circle(screen, (0, 0, 255), [x1, y1], 15)
        pygame.draw.circle(screen, (255, 0, 255), [x2, y2], 5)

        pygame.display.flip()
        clock.tick(5)

Answer 1

从（x1，y1）到（x2，y2）的Euclidean distance可以计算如下：

import math

dx = x2-x1
dy = y2-y1
distance = math.sqrt(dx*dx + dy*dy)

或

distance = math.hypot(x2-x1, y2-y1)