cal_dist_ang.py

import numpy as np
import math


# 计算两点距离
def cal_dist(point_1, point_2):
    dist = np.sqrt(np.sum(np.power((point_1-point_2), 2)))
    return dist


# 计算两条线的夹角
def cal_ang(point_1, point_2, point_3):
    """
    根据三点坐标计算夹角
    :param point_1: 点1坐标
    :param point_2: 点2坐标
    :param point_3: 点3坐标
    :return: 返回任意角的夹角值，这里只是返回点2的夹角
    """
    a=math.sqrt((point_2[0]-point_3[0])*(point_2[0]-point_3[0])+(point_2[1]-point_3[1])*(point_2[1] - point_3[1]))
    b=math.sqrt((point_1[0]-point_3[0])*(point_1[0]-point_3[0])+(point_1[1]-point_3[1])*(point_1[1] - point_3[1]))
    c=math.sqrt((point_1[0]-point_2[0])*(point_1[0]-point_2[0])+(point_1[1]-point_2[1])*(point_1[1]-point_2[1]))
    A=math.degrees(math.acos((a*a-b*b-c*c)/(-2*b*c)))
    B=math.degrees(math.acos((b*b-a*a-c*c)/(-2*a*c)))
    C=math.degrees(math.acos((c*c-a*a-b*b)/(-2*a*b)))
    return B


# 计算线条的方位角
def azimuthAngle(point_0, point_1):
    x1, y1 = point_0
    x2, y2 = point_1

    if x1 < x2:
        if y1 < y2:
            ang = math.atan((y2 - y1) / (x2 - x1))
            ang = ang * 180 / math.pi
            return ang
        elif y1 > y2:
            ang = math.atan((y1 - y2) / (x2 - x1))
            ang = ang * 180 / math.pi
            return 90 + (90 - ang)
        elif y1==y2:
            return 0
    elif x1 > x2:
        if y1 < y2:
            ang = math.atan((y2-y1)/(x1-x2))
            ang = ang*180/math.pi
            return 90+(90-ang)
        elif y1 > y2:
            ang = math.atan((y1-y2)/(x1-x2))
            ang = ang * 180 / math.pi
            return ang
        elif y1==y2:
            return 0

    elif x1==x2:
        return 90