Replace Visualizations.py to include correlation_check() function. I'm not...

Replace Visualizations.py to include correlation_check() function.  I'm not happy with it, but it at least gives a thumbs up/down check.

Multiplicative Algorithm/Visualizations.py

@@ -148,4 +148,23 @@ def map_links(link_list=None, link_file=None, out_file='Map'):
     geo_df = gpd.GeoDataFrame(df, crs=crs, geometry='geom')
     geo_df.to_file(out_file)
     
-    return None
\ No newline at end of file
+    return None
+
+
+def correlation_check(W1, W2, threshold):
+    assert W1.shape == W2.shape
+    assert threshold <= 1 and threshold>= -1, "Unreasonable threshold. Must be between -1 and 1"
+    
+    Ro = np.corrcoef(W1.T,W2.T)[len(W1.T):,:len(W2.T)]
+    Ro_geq_threshold = Ro > threshold
+    
+    if np.sum(Ro_geq_threshold, axis=0).min() > 0 and np.sum(Ro_geq_threshold, axis=1).min() > 0:
+        print('Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]')
+        possible_maps=[np.where(column >0) for column in Ro_geq_threshold.T]
+        return Ro, possible_maps
+    else:
+        print('No Good Permutation.  Try reducing threshold.')
+        possible_maps = list()
+        return Ro, possible_maps
+    
+    
\ No newline at end of file