GCM support
diff --git a/tests/hazmat/primitives/test_aes.py b/tests/hazmat/primitives/test_aes.py
index d178da7..f7b0b9a 100644
--- a/tests/hazmat/primitives/test_aes.py
+++ b/tests/hazmat/primitives/test_aes.py
@@ -18,7 +18,7 @@
 
 from cryptography.hazmat.primitives.ciphers import algorithms, modes
 
-from .utils import generate_encrypt_test
+from .utils import generate_encrypt_test, generate_aead_test
 from ...utils import (
     load_nist_vectors, load_openssl_vectors,
 )
@@ -132,3 +132,22 @@
         ),
         skip_message="Does not support AES CTR",
     )
+
+    test_GCM = generate_aead_test(
+        load_nist_vectors,
+        os.path.join("ciphers", "AES", "GCM"),
+        [
+            "gcmDecrypt128.rsp",
+            "gcmDecrypt192.rsp",
+            "gcmDecrypt256.rsp",
+            "gcmEncryptExtIV128.rsp",
+            "gcmEncryptExtIV192.rsp",
+            "gcmEncryptExtIV256.rsp",
+        ],
+        lambda key: algorithms.AES(key),
+        lambda iv, tag: modes.GCM(iv, tag),
+        only_if=lambda backend: backend.cipher_supported(
+            algorithms.AES("\x00" * 16), modes.GCM("\x00" * 12)
+        ),
+        skip_message="Does not support AES GCM",
+    )
diff --git a/tests/hazmat/primitives/test_block.py b/tests/hazmat/primitives/test_block.py
index f6c44b4..296821a 100644
--- a/tests/hazmat/primitives/test_block.py
+++ b/tests/hazmat/primitives/test_block.py
@@ -18,12 +18,16 @@
 import pytest
 
 from cryptography import utils
-from cryptography.exceptions import UnsupportedAlgorithm, AlreadyFinalized
+from cryptography.exceptions import (
+    UnsupportedAlgorithm, AlreadyFinalized,
+)
 from cryptography.hazmat.primitives import interfaces
 from cryptography.hazmat.primitives.ciphers import (
     Cipher, algorithms, modes
 )
 
+from .utils import generate_aead_use_after_finalize_test
+
 
 @utils.register_interface(interfaces.CipherAlgorithm)
 class DummyCipher(object):
@@ -120,3 +124,14 @@
         decryptor.update(b"1")
         with pytest.raises(ValueError):
             decryptor.finalize()
+
+
+class TestAEADCipherContext(object):
+    test_use_after_finalize = generate_aead_use_after_finalize_test(
+        algorithms.AES,
+        modes.GCM,
+        only_if=lambda backend: backend.cipher_supported(
+            algorithms.AES("\x00" * 16), modes.GCM("\x00" * 12)
+        ),
+        skip_message="Does not support AES GCM",
+    )
diff --git a/tests/hazmat/primitives/test_utils.py b/tests/hazmat/primitives/test_utils.py
index cee0b20..f286e02 100644
--- a/tests/hazmat/primitives/test_utils.py
+++ b/tests/hazmat/primitives/test_utils.py
@@ -2,7 +2,8 @@
 
 from .utils import (
     base_hash_test, encrypt_test, hash_test, long_string_hash_test,
-    base_hmac_test, hmac_test, stream_encryption_test
+    base_hmac_test, hmac_test, stream_encryption_test, aead_test,
+    aead_use_after_finalize_test,
 )
 
 
@@ -17,6 +18,28 @@
         assert exc_info.value.args[0] == "message!"
 
 
+class TestAEADTest(object):
+    def test_skips_if_only_if_returns_false(self):
+        with pytest.raises(pytest.skip.Exception) as exc_info:
+            aead_test(
+                None, None, None, None,
+                only_if=lambda backend: False,
+                skip_message="message!"
+            )
+        assert exc_info.value.args[0] == "message!"
+
+
+class TestAEADFinalizeTest(object):
+    def test_skips_if_only_if_returns_false(self):
+        with pytest.raises(pytest.skip.Exception) as exc_info:
+            aead_use_after_finalize_test(
+                None, None, None,
+                only_if=lambda backend: False,
+                skip_message="message!"
+            )
+        assert exc_info.value.args[0] == "message!"
+
+
 class TestHashTest(object):
     def test_skips_if_only_if_returns_false(self):
         with pytest.raises(pytest.skip.Exception) as exc_info:
diff --git a/tests/hazmat/primitives/utils.py b/tests/hazmat/primitives/utils.py
index 6c67ddb..839ff82 100644
--- a/tests/hazmat/primitives/utils.py
+++ b/tests/hazmat/primitives/utils.py
@@ -4,9 +4,11 @@
 import pytest
 
 from cryptography.hazmat.bindings import _ALL_BACKENDS
-from cryptography.hazmat.primitives import hashes
-from cryptography.hazmat.primitives import hmac
+from cryptography.hazmat.primitives import hashes, hmac
 from cryptography.hazmat.primitives.ciphers import Cipher
+from cryptography.exceptions import (
+    AlreadyFinalized, NotFinalized,
+)
 
 from ...utils import load_vectors_from_file
 
@@ -54,6 +56,72 @@
     assert actual_plaintext == binascii.unhexlify(plaintext)
 
 
+def generate_aead_test(param_loader, path, file_names, cipher_factory,
+                       mode_factory, only_if, skip_message):
+    def test_aead(self):
+        for backend in _ALL_BACKENDS:
+            for file_name in file_names:
+                for params in load_vectors_from_file(
+                    os.path.join(path, file_name),
+                    param_loader
+                ):
+                    yield (
+                        aead_test,
+                        backend,
+                        cipher_factory,
+                        mode_factory,
+                        params,
+                        only_if,
+                        skip_message
+                    )
+    return test_aead
+
+
+def aead_test(backend, cipher_factory, mode_factory, params, only_if,
+              skip_message):
+    if not only_if(backend):
+        pytest.skip(skip_message)
+    if params.get("pt") is not None:
+        plaintext = params.pop("pt")
+    ciphertext = params.pop("ct")
+    aad = params.pop("aad")
+    if params.get("fail") is True:
+        cipher = Cipher(
+            cipher_factory(binascii.unhexlify(params["key"])),
+            mode_factory(binascii.unhexlify(params["iv"]),
+                         binascii.unhexlify(params["tag"])),
+            backend
+        )
+        decryptor = cipher.decryptor()
+        decryptor.add_data(binascii.unhexlify(aad))
+        actual_plaintext = decryptor.update(binascii.unhexlify(ciphertext))
+        with pytest.raises(AssertionError):
+            decryptor.finalize()
+    else:
+        cipher = Cipher(
+            cipher_factory(binascii.unhexlify(params["key"])),
+            mode_factory(binascii.unhexlify(params["iv"]), None),
+            backend
+        )
+        encryptor = cipher.encryptor()
+        encryptor.add_data(binascii.unhexlify(aad))
+        actual_ciphertext = encryptor.update(binascii.unhexlify(plaintext))
+        actual_ciphertext += encryptor.finalize()
+        tag_len = len(params["tag"])
+        assert binascii.hexlify(encryptor.tag)[:tag_len] == params["tag"]
+        cipher = Cipher(
+            cipher_factory(binascii.unhexlify(params["key"])),
+            mode_factory(binascii.unhexlify(params["iv"]),
+                         binascii.unhexlify(params["tag"])),
+            backend
+        )
+        decryptor = cipher.decryptor()
+        decryptor.add_data(binascii.unhexlify(aad))
+        actual_plaintext = decryptor.update(binascii.unhexlify(ciphertext))
+        actual_plaintext += decryptor.finalize()
+        assert actual_plaintext == binascii.unhexlify(plaintext)
+
+
 def generate_stream_encryption_test(param_loader, path, file_names,
                                     cipher_factory, only_if=None,
                                     skip_message=None):
@@ -237,3 +305,36 @@
     h_copy = h.copy()
     assert h != h_copy
     assert h._ctx != h_copy._ctx
+
+
+def generate_aead_use_after_finalize_test(cipher_factory, mode_factory,
+                                          only_if, skip_message):
+    def test_aead_use_after_finalize(self):
+        for backend in _ALL_BACKENDS:
+            yield (
+                aead_use_after_finalize_test,
+                backend,
+                cipher_factory,
+                mode_factory,
+                only_if,
+                skip_message
+            )
+    return test_aead_use_after_finalize
+
+
+def aead_use_after_finalize_test(backend, cipher_factory, mode_factory,
+                                 only_if, skip_message):
+    if not only_if(backend):
+        pytest.skip(skip_message)
+    cipher = Cipher(
+        cipher_factory(binascii.unhexlify(b"0" * 32)),
+        mode_factory(binascii.unhexlify(b"0" * 24)),
+        backend
+    )
+    encryptor = cipher.encryptor()
+    encryptor.update(b"a" * 16)
+    with pytest.raises(NotFinalized):
+        encryptor.tag
+    encryptor.finalize()
+    with pytest.raises(AlreadyFinalized):
+        encryptor.add_data(b"b" * 16)