RectangularLove.py

def find_love(r1, r2):
    (x_start, x_end) = x_overlap(r1, r2)
    (y_start, y_end) = y_overlap(r1, r2)
    
    if x_start is None:
        return "x_start there can be no love!"
    if x_end is None:
        return "x_end there can be no love!"
    if y_start is None:
        return "y_start there can be no love!"
    if y_end is None:
        return "y_end there can be no love!"
    
    r3 = {
        # coordinates of bottom-left corner
        'left_x': x_start,
        'bottom_y': y_start,
        # width and height
        'width': x_end - x_start,
        'height': y_end - y_start,
    }
    
    return r3
    
def x_overlap(r1, r2):
    # TODO: Handle case where the coordinates are flipped
    r1_left  = r1['left_x']
    r1_right = r1['left_x'] + r1['width']
    r2_left  = r2['left_x']
    r2_right = r2['left_x'] + r2['width']
    
    overlaps = r1_right > r2_left
    start = None
    end = None
    if overlaps:
        start = max(r1_left,  r2_left)
        end   = min(r1_right, r2_right)
    
    return (start, end)

def y_overlap(r1, r2):
    # TODO: Handle case where the coordinates are flipped
    r1_bottom  = r1['bottom_y']            # 5
    r1_top = r1['bottom_y'] + r1['height'] # 15
    r2_bottom  = r2['bottom_y']            # 12
    r2_top = r2['bottom_y'] + r2['height'] # 22
    
    overlaps = r1_top > r2_bottom
    start = None
    end = None
    if overlaps:
        start = max(r1_bottom,  r2_bottom)
        end   = min(r1_top, r2_top)
    
    return (start, end)
    
r1 = {
    # coordinates of bottom-left corner
    'left_x': 1,
    'bottom_y': 5,
    # width and height
    'width': 10,
    'height': 10,
}
r2 = {
    # coordinates of bottom-left corner
    'left_x': 2,
    'bottom_y': 12,
    # width and height
    'width': 4,
    'height': 10,
}
r4 = {
    # coordinates of bottom-left corner
    'left_x': 2,
    'bottom_y': 6,
    # width and height
    'width': 4,
    'height': 2,
}
r5 = {
    # coordinates of bottom-left corner
    'left_x': 0,
    'bottom_y': 6,
    # width and height
    'width': 1,
    'height': 2,
}
print find_love(r1, r5)