def mat_inter(box1,box2):
    # 判斷兩個矩形是否相交
    # box=(xA,yA,xB,yB)
    x01, y01, x02, y02 = box1
    x11, y11, x12, y12 = box2

    lx = abs((x01 + x02) / 2 - (x11 + x12) / 2)
    ly = abs((y01 + y02) / 2 - (y11 + y12) / 2)
    sax = abs(x01 - x02)
    sbx = abs(x11 - x12)
    say = abs(y01 - y02)
    sby = abs(y11 - y12)
    if lx <= (sax + sbx) / 2 and ly <= (say + sby) / 2:
        return True
    else:
        return False

def solve_coincide(box1,box2):
    # box=(xA,yA,xB,yB)
    # 計算兩個矩形框的重合度
    if mat_inter(box1,box2)==True:
        x01, y01, x02, y02 = box1
        x11, y11, x12, y12 = box2
        col=min(x02,x12)-max(x01,x11)
        row=min(y02,y12)-max(y01,y11)
        intersection=col*row
        area1=(x02-x01)*(y02-y01)
        area2=(x12-x11)*(y12-y11)
        coincide=intersection/(area1+area2-intersection)
        return coincide
    else:
        return False