Weakhashmap : When value depends on key

Consider the following code:

import java.util.Map;
import java.util.WeakHashMap;

public class TestWeakHeakHashMap
{
 private String name = new String("java");
 private Map cache = new WeakHashMap<String, DependentObject>();

 public void testMethod()
 {
     cache.put(name, new DependentObject("1", name));

     //Discard the strong reference to the key
     name = null;
     while (true) {
         System.gc();
         /**
          * Verify Full GC with the -verbose:gc option
            Since there is no strong reference to the key, it is assumed that the
            entry has been removed from the WeakHashMap
          */
         System.out.println(cache.size());
     }
 }

 private class DependentObject
 {
     private String id;
     private String name;

     public DependentObject(String id, String name)
     {
         this.id = id;
         this.name = name;
     }
 }
}

Now when the testMethod() is run what do you expect the output to be? Since the strong reference to key is discarded, we assume that the entry from the map would be removed, and map would be empty after a full GC.
But that does not happen though.

Let us see what was the put operation on the WeakHashMap.

cache.put(name, new DependentObject("1", name));


Here the value DependentObject was holding the key name. This would mean that the value always strongly refers to the key, and hence the key would never be garbage collected. The entry would always remain the map.

This is what WeakHashMap API says - "The value objects in a WeakHashMap are held by ordinary strong references. Thus care should be taken to ensure that value objects do not strongly refer to their own keys, either directly or indirectly, since that will prevent the keys from being discarded."