diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index d2f8f85..8939c94 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -41,6 +41,9 @@
 Changes:
 ^^^^^^^^
 
+- Fixed :meth:`OpenSSL.SSL.Context.set_session_id`, :meth:`OpenSSL.SSL.Connection.renegotiate`, :meth:`OpenSSL.SSL.Connection.renegotiate_pending`, and :meth:`OpenSSL.SSL.Context.load_client_ca`.
+  They were lacking an implementation since 0.14.
+  [`#422 <https://github.com/pyca/pyopenssl/pull/422>`_]
 - Fixed segmentation fault when using keys larger than 4096-bit to sign data.
   `#428 <https://github.com/pyca/pyopenssl/pull/428>`_
 - Fixed ``AttributeError`` when ``OpenSSL.SSL.Connection.get_app_data()`` was called before setting any app data.
diff --git a/doc/api/ssl.rst b/doc/api/ssl.rst
index d144cfd..0edf1ab 100644
--- a/doc/api/ssl.rst
+++ b/doc/api/ssl.rst
@@ -274,10 +274,7 @@
     Retrieve the Context object's verify mode, as set by :py:meth:`set_verify`.
 
 
-.. py:method:: Context.load_client_ca(pemfile)
-
-    Read a file with PEM-formatted certificates that will be sent to the client
-    when requesting a client certificate.
+.. automethod:: Context.load_client_ca
 
 
 .. py:method:: Context.set_client_ca_list(certificate_authorities)
@@ -387,12 +384,7 @@
     .. versionadded:: 0.14
 
 
-.. py:method:: Context.set_session_id(name)
-
-    Set the context *name* within which a session can be reused for this
-    Context object. This is needed when doing session resumption, because there is
-    no way for a stored session to know which Context object it is associated with.
-    *name* may be any binary data.
+.. automethod:: Context.set_session_id
 
 
 .. py:method:: Context.set_timeout(timeout)
@@ -684,11 +676,11 @@
     bytes (for example, in response to a call to :py:meth:`recv`).
 
 
-.. py:method:: Connection.renegotiate()
+.. automethod:: Connection.renegotiate
 
-    Renegotiate the SSL session. Call this if you wish to change cipher suites or
-    anything like that.
+.. automethod:: Connection.renegotiate_pending
 
+.. automethod:: Connection.total_renegotiations
 
 .. py:method:: Connection.send(string)
 
diff --git a/src/OpenSSL/SSL.py b/src/OpenSSL/SSL.py
index 160cfd8..800ae1e 100644
--- a/src/OpenSSL/SSL.py
+++ b/src/OpenSSL/SSL.py
@@ -689,23 +689,39 @@
 
     def load_client_ca(self, cafile):
         """
-        Load the trusted certificates that will be sent to the client
-        (basically telling the client "These are the guys I trust").  Does not
-        actually imply any of the certificates are trusted; that must be
+        Load the trusted certificates that will be sent to the client.  Does
+        not actually imply any of the certificates are trusted; that must be
         configured separately.
 
-        :param cafile: The name of the certificates file
+        :param bytes cafile: The path to a certificates file in PEM format.
         :return: None
         """
+        ca_list = _lib.SSL_load_client_CA_file(
+            _text_to_bytes_and_warn("cafile", cafile)
+        )
+        _openssl_assert(ca_list != _ffi.NULL)
+        # SSL_CTX_set_client_CA_list doesn't return anything.
+        _lib.SSL_CTX_set_client_CA_list(self._context, ca_list)
 
     def set_session_id(self, buf):
         """
-        Set the session identifier.  This is needed if you want to do session
-        resumption.
+        Set the session id to *buf* within which a session can be reused for
+        this Context object.  This is needed when doing session resumption,
+        because there is no way for a stored session to know which Context
+        object it is associated with.
 
-        :param buf: A Python object that can be safely converted to a string
+        :param bytes buf: The session id.
+
         :returns: None
         """
+        buf = _text_to_bytes_and_warn("buf", buf)
+        _openssl_assert(
+            _lib.SSL_CTX_set_session_id_context(
+                self._context,
+                buf,
+                len(buf),
+            ) == 1
+        )
 
     def set_session_cache_mode(self, mode):
         """
@@ -1406,10 +1422,15 @@
 
     def renegotiate(self):
         """
-        Renegotiate the session
+        Renegotiate the session.
 
-        :return: True if the renegotiation can be started, false otherwise
+        :return: True if the renegotiation can be started, False otherwise
+        :rtype: bool
         """
+        if not self.renegotiate_pending():
+            _openssl_assert(_lib.SSL_renegotiate(self._ssl) == 1)
+            return True
+        return False
 
     def do_handshake(self):
         """
@@ -1423,17 +1444,20 @@
 
     def renegotiate_pending(self):
         """
-        Check if there's a renegotiation in progress, it will return false once
+        Check if there's a renegotiation in progress, it will return False once
         a renegotiation is finished.
 
         :return: Whether there's a renegotiation in progress
+        :rtype: bool
         """
+        return _lib.SSL_renegotiate_pending(self._ssl) == 1
 
     def total_renegotiations(self):
         """
         Find out the total number of renegotiations.
 
         :return: The number of renegotiations.
+        :rtype: int
         """
         return _lib.SSL_total_renegotiations(self._ssl)
 
diff --git a/tests/test_ssl.py b/tests/test_ssl.py
index 8040c97..ab316fc 100644
--- a/tests/test_ssl.py
+++ b/tests/test_ssl.py
@@ -5,6 +5,9 @@
 Unit tests for :mod:`OpenSSL.SSL`.
 """
 
+import datetime
+import uuid
+
 from gc import collect, get_referrers
 from errno import ECONNREFUSED, EINPROGRESS, EWOULDBLOCK, EPIPE, ESHUTDOWN
 from sys import platform, getfilesystemencoding, version_info
@@ -19,6 +22,14 @@
 
 from six import PY3, text_type
 
+from cryptography import x509
+from cryptography.hazmat.backends import default_backend
+from cryptography.hazmat.primitives import hashes
+from cryptography.hazmat.primitives import serialization
+from cryptography.hazmat.primitives.asymmetric import rsa
+from cryptography.x509.oid import NameOID
+
+
 from OpenSSL.crypto import TYPE_RSA, FILETYPE_PEM
 from OpenSSL.crypto import PKey, X509, X509Extension, X509Store
 from OpenSSL.crypto import dump_privatekey, load_privatekey
@@ -348,6 +359,49 @@
 
 
 @pytest.fixture
+def ca_file(tmpdir):
+    """
+    Create a valid PEM file with CA certificates and return the path.
+    """
+    key = rsa.generate_private_key(
+        public_exponent=65537,
+        key_size=2048,
+        backend=default_backend()
+    )
+    public_key = key.public_key()
+
+    builder = x509.CertificateBuilder()
+    builder = builder.subject_name(x509.Name([
+        x509.NameAttribute(NameOID.COMMON_NAME, u"pyopenssl.org"),
+    ]))
+    builder = builder.issuer_name(x509.Name([
+        x509.NameAttribute(NameOID.COMMON_NAME, u"pyopenssl.org"),
+    ]))
+    one_day = datetime.timedelta(1, 0, 0)
+    builder = builder.not_valid_before(datetime.datetime.today() - one_day)
+    builder = builder.not_valid_after(datetime.datetime.today() + one_day)
+    builder = builder.serial_number(int(uuid.uuid4()))
+    builder = builder.public_key(public_key)
+    builder = builder.add_extension(
+        x509.BasicConstraints(ca=True, path_length=None), critical=True,
+    )
+
+    certificate = builder.sign(
+        private_key=key, algorithm=hashes.SHA256(),
+        backend=default_backend()
+    )
+
+    ca_file = tmpdir.join("test.pem")
+    ca_file.write_binary(
+        certificate.public_bytes(
+            encoding=serialization.Encoding.PEM,
+        )
+    )
+
+    return str(ca_file).encode("ascii")
+
+
+@pytest.fixture
 def context():
     """
     A simple TLS 1.0 context.
@@ -389,6 +443,59 @@
         with pytest.raises(error):
             context.set_cipher_list(cipher_list)
 
+    def test_load_client_ca(self, context, ca_file):
+        """
+        :meth:`Context.load_client_ca` works as far as we can tell.
+        """
+        context.load_client_ca(ca_file)
+
+    def test_load_client_ca_invalid(self, context, tmpdir):
+        """
+        :meth:`Context.load_client_ca` raises an Error if the ca file is
+        invalid.
+        """
+        ca_file = tmpdir.join("test.pem")
+        ca_file.write("")
+
+        with pytest.raises(Error) as e:
+            context.load_client_ca(str(ca_file).encode("ascii"))
+
+        assert "PEM routines" == e.value.args[0][0][0]
+
+    def test_load_client_ca_unicode(self, context, ca_file):
+        """
+        Passing the path as unicode raises a warning but works.
+        """
+        pytest.deprecated_call(
+            context.load_client_ca, ca_file.decode("ascii")
+        )
+
+    def test_set_session_id(self, context):
+        """
+        :meth:`Context.set_session_id` works as far as we can tell.
+        """
+        context.set_session_id(b"abc")
+
+    def test_set_session_id_fail(self, context):
+        """
+        :meth:`Context.set_session_id` errors are propagated.
+        """
+        with pytest.raises(Error) as e:
+            context.set_session_id(b"abc" * 1000)
+
+        assert [
+            ("SSL routines",
+             "SSL_CTX_set_session_id_context",
+             "ssl session id context too long")
+        ] == e.value.args[0]
+
+    def test_set_session_id_unicode(self, context):
+        """
+        :meth:`Context.set_session_id` raises a warning if a unicode string is
+        passed.
+        """
+        pytest.deprecated_call(context.set_session_id, u"abc")
+
 
 class ContextTests(TestCase, _LoopbackMixin):
     """
@@ -1210,9 +1317,10 @@
             raise Exception("silly verify failure")
         clientContext.set_verify(VERIFY_PEER, verify_callback)
 
-        exc = self.assertRaises(
-            Exception, self._handshake_test, serverContext, clientContext)
-        self.assertEqual("silly verify failure", str(exc))
+        with pytest.raises(Exception) as exc:
+            self._handshake_test(serverContext, clientContext)
+
+        self.assertEqual("silly verify failure", str(exc.value))
 
     def test_add_extra_chain_cert(self):
         """
@@ -1338,9 +1446,6 @@
             Error, context.use_certificate_chain_file, self.mktemp()
         )
 
-    # XXX load_client_ca
-    # XXX set_session_id
-
     def test_get_verify_mode_wrong_args(self):
         """
         :py:obj:`Context.get_verify_mode` raises :py:obj:`TypeError` if called
@@ -2033,7 +2138,6 @@
     # XXX connect_ex -> TypeError
     # XXX set_connect_state -> TypeError
     # XXX set_accept_state -> TypeError
-    # XXX renegotiate_pending
     # XXX do_handshake -> TypeError
     # XXX bio_read -> TypeError
     # XXX recv -> TypeError
@@ -3136,24 +3240,32 @@
         connection = Connection(Context(TLSv1_METHOD), None)
         self.assertEquals(connection.total_renegotiations(), 0)
 
-#     def test_renegotiate(self):
-#         """
-#         """
-#         server, client = self._loopback()
+    def test_renegotiate(self):
+        """
+        Go through a complete renegotiation cycle.
+        """
+        server, client = self._loopback()
 
-#         server.send("hello world")
-#         self.assertEquals(client.recv(len("hello world")), "hello world")
+        server.send(b"hello world")
 
-#         self.assertEquals(server.total_renegotiations(), 0)
-#         self.assertTrue(server.renegotiate())
+        assert b"hello world" == client.recv(len(b"hello world"))
 
-#         server.setblocking(False)
-#         client.setblocking(False)
-#         while server.renegotiate_pending():
-#             client.do_handshake()
-#             server.do_handshake()
+        assert 0 == server.total_renegotiations()
+        assert False is server.renegotiate_pending()
 
-#         self.assertEquals(server.total_renegotiations(), 1)
+        assert True is server.renegotiate()
+
+        assert True is server.renegotiate_pending()
+
+        server.setblocking(False)
+        client.setblocking(False)
+
+        client.do_handshake()
+        server.do_handshake()
+
+        assert 1 == server.total_renegotiations()
+        while False is server.renegotiate_pending():
+            pass
 
 
 class ErrorTests(TestCase):