* their caseless domain and username fields are equal and either both hashes are external and they are equal or
     * both internally supplied passwords are equal. If one {@code NtlmPasswordAuthentication} object has external
     * hashes (meaning negotiated via NTLM HTTP Authentication) and the other does not they will not be equal. This is

		if err != tt.expectedErr {
			t.Errorf("Test %d: Expected %s, got %s", i+1, tt.expectedErr, err)
		}
		if !bytes.Equal(chunkSize, tt.chunkSize) {
			t.Errorf("Test %d: Expected %s, got %s", i+1, string(tt.chunkSize), string(chunkSize))
		}
		if !bytes.Equal(chunkSignature, tt.chunkSignature) {
			t.Errorf("Test %d: Expected %s, got %s", i+1, string(tt.chunkSignature), string(chunkSignature))
		}
	}
}

## Number validations: greater than or equal { #number-validations-greater-than-or-equal }

With `Query` and `Path` (and others you'll see later) you can declare number constraints.

Here, with `ge=1`, `item_id` will need to be an integer number "`g`reater than or `e`qual" to `1`.

{* ../../docs_src/path_params_numeric_validations/tutorial004_an_py39.py hl[10] *}

	for k, v := range m {
		switch {
		case equals(k, ReservedMetadataPrefixLower+ReplicationTimestamp):
			d.ReplicaTimeStamp, _ = amztime.ParseReplicationTS(v)
		case equals(k, ReservedMetadataPrefixLower+ReplicaTimestamp):
			d.ReplicaTimeStamp, _ = amztime.ParseReplicationTS(v)
		case equals(k, ReservedMetadataPrefixLower+ReplicaStatus):
			d.ReplicaStatus = replication.StatusType(v)
		case equals(k, ReservedMetadataPrefixLower+ReplicationStatus):

	modTime := commonTime(modTimes, expectedRQuorum)

	if modTime.IsZero() || modTime.Equal(timeSentinel) {
		return FileInfo{}, errErasureReadQuorum
	}

	// Iterate through all the modTimes and count the FileInfo(s) with latest time.
	for index, t := range modTimes {
		if partsMetadata[index].IsValid() && t.Equal(modTime) {
			latestFileInfo = partsMetadata[index]
			count++
		}
	}

            // Test null vs null
            assertTrue(auth1.equals(new NtlmPasswordAuthenticator("domain", "user", (String) null)));

            // Test null vs empty
            assertFalse(auth1.equals(auth2));

            // Test null vs password
            assertFalse(auth1.equals(auth3));

            // Test empty vs password
            assertFalse(auth2.equals(auth3));

	expirationStr := fmt.Sprintf(`"expiration": "%s"`, expiration.Format(iso8601TimeFormat))
	// Add the bucket condition, only accept buckets equal to the one passed.
	bucketConditionStr := fmt.Sprintf(`["eq", "$bucket", "%s"]`, bucketName)
	// Add the key condition, only accept keys equal to the one passed.
	keyConditionStr := fmt.Sprintf(`["eq", "$key", "%s/upload.txt"]`, objectKey)

        assertEquals(auth1, auth2, "Authenticators with same credentials should be equal");
        assertNotEquals(auth1, auth3, "Authenticators with different passwords should not be equal");
    }

    @Test
    public void testMultipleSecureWipes() {
        authenticator = new NtlmPasswordAuthenticator("DOMAIN", "username", "password");

        byte[] resp = NtlmUtil.getLMv2Response(key, server, client);

        // Assert: HMAC(16) only
        assertEquals(16, resp.length);
    }

    @Test
    @DisplayName("getNTLMResponse: overloads produce equal 24-byte response")
    void testGetNTLMResponse_overloads() throws GeneralSecurityException {
        // Arrange
        String password = "password";
        byte[] challenge = hex("1122334455667788");

         * created TypeVariable will not interoperate with any JDK TypeVariable. But this is OK: We
         * don't _want_ our new TypeVariable to be equal to the JDK TypeVariable because it has
         * _different bounds_ than the JDK TypeVariable. And it wouldn't make sense for our new
         * TypeVariable to be equal to any _other_ JDK TypeVariable, either, because any other JDK