【数学】IoU_手写iou c++

IoU

 FZU - 2300 

Xzz need to calculate Intersection over Union(IoU) of two rectangles, can you help him?

rectangle (x, y, w, h) means a rectangle MNPQ, M(x,y), N(x, y+h), P(x+w, y+h), Q(x+w, y).

IoU = Area of overlap / Area of union.

Input

First line of the input file contains an integer T(0 < T <= 100) that indicates how many cases of inputs are there.

The description of each case is given below:

The first line of each input set contains integer x1, y1, w1, h1.

The second line of each input set contains integer x2, y2, w2, h2.

0 ≤ x, y, w, h ≤ 100000

Output

The description of output for each test case is given below:

The first line of the output for each test case contains num