/**
 * A bimap (or "bidirectional map") is a map that preserves the uniqueness of its values as well as
 * that of its keys. This constraint enables bimaps to support an "inverse view", which is another
 * bimap containing the same entries as this bimap but with reversed keys and values.
 *
 * <h3>Implementations</h3>
 *
 * <ul>
 *   <li>{@link ImmutableBiMap}
 *   <li>{@link HashBiMap}
 *   <li>{@link EnumBiMap}

    // enclosed with same start
    assertEquals(range, range.span(Range.closed(4, 6)));

    // enclosed, interior
    assertEquals(range, range.span(Range.closed(5, 7)));

    // enclosed with same end
    assertEquals(range, range.span(Range.closed(6, 8)));

    // equal
    assertEquals(range, range.span(range));

    // enclosing with same start

   * same order. (It is guaranteed to return true for instances constructed from the same values in
   * the same order if {@code strictfp} is in effect, or if the system architecture guarantees
   * {@code strictfp}-like semantics.)
   */
  @Override
  public boolean equals(@Nullable Object obj) {
    if (obj == null) {
      return false;
    }
    if (getClass() != obj.getClass()) {
      return false;
    }

        HMACT64 clonedHmac = (HMACT64) originalHmac.clone();

        assertNotNull(clonedHmac);
        assertNotSame(originalHmac, clonedHmac);

        // Both should produce the same result when given the same remaining data
        originalHmac.engineUpdate(TEST_DATA, TEST_DATA.length / 2, TEST_DATA.length - TEST_DATA.length / 2);

@SuppressWarnings("JUnit4ClassUsedInJUnit3")
public class MapEqualsTester<K, V> extends AbstractMapTester<K, V> {
  public void testEquals_otherMapWithSameEntries() {
    assertTrue(
        "A Map should equal any other Map containing the same entries.",
        getMap().equals(newHashMap(getSampleEntries())));
  }

  @CollectionSize.Require(absent = CollectionSize.ZERO)
  public void testEquals_otherMapWithDifferentEntries() {

If you have a big application, you might end up accumulating **several tags**, and you would want to make sure you always use the **same tag** for related *path operations*.

In these cases, it could make sense to store the tags in an `Enum`.

**FastAPI** supports that the same way as with plain strings:

{* ../../docs_src/path_operation_configuration/tutorial002b.py hl[1,8:10,13,18] *}

        return new IllegalArgumentException(
            "Multiple entries with same key: " + key + "=" + value1 + " and " + key + "=" + value2);
      }
    }
  }

  /**
   * Returns an immutable map containing the same entries as {@code map}. The returned map iterates
   * over entries in the same order as the {@code entrySet} of the original map. If {@code map}

        StopwordsItem item2 = new StopwordsItem(1, "test");
        StopwordsItem item3 = new StopwordsItem(2, "test");
        StopwordsItem item4 = new StopwordsItem(1, "different");

        // Same input should have same hashCode regardless of id
        assertEquals(item1.hashCode(), item2.hashCode());
        assertEquals(item1.hashCode(), item3.hashCode());

        // Different input should have different hashCode

You can easily use the same Pydantic settings to configure your generated OpenAPI and the docs UIs.

For example:

{* ../../docs_src/conditional_openapi/tutorial001.py hl[6,11] *}

Here we declare the setting `openapi_url` with the same default of `"/openapi.json"`.

And then we use it when creating the `FastAPI` app.

### Multiple Applications { #multiple-applications }

In the same server (or servers), there could be **multiple applications**, for example, other API programs or a database.

Only one process can be handling the specific IP and port (the TLS Termination Proxy in our example) but the other applications/processes can be running on the server(s) too, as long as they don't try to use the same **combination of public IP and port**.