import math
import numpy as np

def calculate_angle(box):
    """
    Calculate the rotation angle of a bounding box.
    `box` is a list of 4 points: [[x1, y1], [x2, y2], [x3, y3], [x4, y4]]
    typically representing [top-left, top-right, bottom-right, bottom-left].
    """
    pt1, pt2 = box[0], box[1]
    dx = pt2[0] - pt1[0]
    dy = pt2[1] - pt1[1]
    angle_rad = math.atan2(dy, dx)
    angle_deg = math.degrees(angle_rad)
    return angle_deg

def get_bounding_box_dimensions(box):
    """
    Calculate width and height of the rotated bounding box.
    """
    pt1, pt2, pt3, pt4 = box
    width = math.dist(pt1, pt2)
    height = math.dist(pt2, pt3)
    return width, height

def get_center(box):
    """
    Calculate the center of the bounding box.
    """
    pts = np.array(box)
    center_x = np.mean(pts[:, 0])
    center_y = np.mean(pts[:, 1])
    return center_x, center_y