,j|SrSSKrSSKrSSKJr SrSSjr\"S5SSj5rSr S r S r S r S r S rSrg)z4Unit tests for the sparsifier computation functions.N)py_random_statec0[UR55[UR55:XdeUR5H>upEURXE5(deU(dM&XUUXUU:XaM>e [ [ R "XS95n[ [ R "XS95nUR5H@nUR5H)nXF;dM XVU;dMXtUX&UU-::aM)e MB g)aTest whether a spanner is valid. This function tests whether the given spanner is a subgraph of the given graph G with the same node set. It also tests for all shortest paths whether they adhere to the given stretch. Parameters ---------- G : NetworkX graph The original graph for which the spanner was constructed. spanner : NetworkX graph The spanner to be tested. stretch : float The proclaimed stretch of the spanner. weight : object The edge attribute to use as distance. weightN)setnodesedgeshas_edgedictnxshortest_path_length)Gspannerstretchruvoriginal_lengthspanner_lengths ڸC:\Users\johnn\AppData\Local\Packages\PythonSoftwareFoundation.Python.3.13_qbz5n2kfra8p0\LocalCache\local-packages\Python313\site-packages\networkx/algorithms/tests/test_sparsifiers.py _test_spannerr s, qwwy>S1 11 1 zz! 6:a=(ADGFO; ;; 2221DEO"11'IJN WWYA#Q-?(?%(+w9KA9N/NNNNcfUR5Hup#UR5XUS'M g)a"Assigns random weights to the edges of a graph. Parameters ---------- G : NetworkX graph The original graph for which the spanner was constructed. seed : integer, random_state, or None (default) Indicator of random number generation state. See :ref:`Randomness`. rN)r random)rseedrrs r_assign_random_weightsr2s,  KKMQrc[R"S5n[R"US[S9nURHup#UR X#5(aMe g)z&Test a trivial spanner with stretch 1.rrN)r complete_graphr_seedr r )rrrrs rtest_spanner_trivialr#DsK "AjjAE*G%%%%rc[R"S5n[R"US[S9n[ XS5 [R"US[S9n[ XS5 g)z9Test spanner construction on a complete unweighted graph.rr N)r r!rr"rrrs r&test_spanner_unweighted_complete_graphr(MsJ "AjjAE*G!a jjBU+G!b!rc[R"S5n[U[S9 [R"USS[S9n[ XSSS9 [R"USS[S9n[ XSSS9 g) z7Test spanner construction on a complete weighted graph.rr r%rrrrr&N)r r!rr"rrr's r$test_spanner_weighted_complete_graphr+Xs\ "A15)jjAhU;G!a1jjBxer?sY: * $ON**"&" 3" 3"r