import math 2用法 Fclass Rect : def __ init __( self , left , right , top , bottom ): if left > right : left , right = right , left if top > bottom : top , bottom = bottom , top self . left = left ; self . right = right self . top = top ; self . bottom = bottom def __ str __( self ): return f ' Rect object : left ={ self . left }, right ={ self . right }, top ={ self . top }), bottom ={ self . bottom )}' def contains ( self , x , y ): return self . Left <= x < self . right and self . top <= ycself . bottom 1个用法 def area ( self ): 1个用法 def intersect ( self , other ): 1个用法 def distance ( self , other ): rect1= Rect (57,109,260,368)rect2= Rect (109,187,378,462) print (rect1) print (rect2) print (rect1.intersect(rect2)) print (rect1.area()) print (rect1.distance(rect2)) 依据以上代码,请完成intersect, area, distance 函数
时间: 2024-03-27 13:38:41 浏览: 13
好的,以下是三个函数的实现:
1. intersect(self, other)函数:
```
def intersect(self, other):
left = max(self.left, other.left)
right = min(self.right, other.right)
top = max(self.top, other.top)
bottom = min(self.bottom, other.bottom)
if left >= right or top >= bottom:
return None
else:
return Rect(left, right, top, bottom)
```
该函数的语义是获得两个矩形 self 与 other 的相交矩形。具体实现是计算两个矩形的左边界、右边界、上边界和下边界的最大值和最小值,从而得到相交矩形的左边界、右边界、上边界和下边界。如果两个矩形不相交,则返回 None。
2. area(self)函数:
```
def area(self):
return (self.right - self.left) * (self.bottom - self.top)
```
该函数的语义是获得矩形 self 的面积。具体实现是计算矩形 self 的宽度和高度,然后将两者相乘得到面积。
3. distance(self, other)函数:
```
def distance(self, other):
if self.intersect(other):
return 0
else:
left = max(self.left, other.left)
right = min(self.right, other.right)
top = max(self.top, other.top)
bottom = min(self.bottom, other.bottom)
if left >= right:
return top - bottom if top > other.bottom else other.top - self.bottom
elif top >= bottom:
return left - right if left > other.right else other.left - self.right
else:
dx = min(abs(left - self.right), abs(right - self.left))
dy = min(abs(top - other.bottom), abs(bottom - other.top))
return math.sqrt(dx ** 2 + dy ** 2)
```
该函数的语义是获得 self 矩形和 other 矩形之间的最短距离。具体实现是先判断两个矩形是否相交,如果相交则距离为 0;否则,计算两个矩形的左边界、右边界、上边界和下边界之间的水平距离和垂直距离,然后利用勾股定理计算出两个矩形之间的最短距离。