Compare URLs and check if they are same

compare_urls.py

from urllib.parse import urlparse
def check_url_similarity(url_1, url_2):
    '''Method to compare two URLs to identify if they are same or not.
    Returns bool: True/False based on comparison'''
    def check_path(path_1, path_2):
        # handles cases where paths differ because of trailing /
        if path_1 == path_2:
            return True
        if path_1 == path_2+'/' or \
               path_1+'/' == path_2:
            return True
        else:
            return False

    if len(url_2) == len(url_1):
        if url_1 == url_2:
            return True
    else:
        url_1_struct = urlparse(url_1)
        url_2_struct = urlparse(url_2)
        if url_1_struct.netloc == url_2_struct.netloc:
            if check_path(url_1_struct.path, url_2_struct.path):
                return True
        if url_1_struct.netloc == 'www.'+url_2_struct.netloc or \
           'www.'+url_1_struct.netloc == url_2_struct.netloc:
            if check_path(url_1_struct.path, url_2_struct.path):
                return True
    return False

test_url_similarity.py

import unittest
from compare_urls import check_url_similarity

class TestUrlSimilarity(unittest.TestCase):
    def test_trailing_slash(self):
        url_1 = "https://www.mygov.in/covid-19/"
        url_2 = "https://www.mygov.in/covid-19"
        self.assertTrue(check_url_similarity(url_1, url_2))

    def test_missing_www_subdomain(self):
        url_1 = "https://mygov.in/covid-19"
        url_2 = "https://www.mygov.in/covid-19"
        self.assertTrue(check_url_similarity(url_1, url_2))

    def test_missing_www_subdomain_and_trailing_slash(self):
        url_1 = "https://mygov.in/covid-19/"
        url_2 = "https://www.mygov.in/covid-19"
        self.assertTrue(check_url_similarity(url_1, url_2))

        url_1 = "https://mygov.in/covid-19"
        url_2 = "https://www.mygov.in/covid-19/"
        self.assertTrue(check_url_similarity(url_1, url_2))

    def test_http_difference(self):
        url_1 = "https://mygov.in/covid-19"
        url_2 = "http://www.mygov.in/covid-19"
        self.assertTrue(check_url_similarity(url_1, url_2))

    def test_different_url(self):
        url_1 = "https://mygov.in/covid-19"
        url_2 = "https://www.india.gov.in/"
        self.assertFalse(check_url_similarity(url_1, url_2))
        
if __name__ == '__main__':
    unittest.main()