diff --git a/Doc/library/hashlib.rst b/Doc/library/hashlib.rst
index b737d22..d644974 100644
--- a/Doc/library/hashlib.rst
+++ b/Doc/library/hashlib.rst
@@ -87,6 +87,8 @@
    that the hashing algorithm is not used in a security context, e.g. as a
    non-cryptographic one-way compression function.
 
+   Hashlib now uses SHA3 and SHAKE from OpenSSL 1.1.1 and newer.
+
 For example, to obtain the digest of the byte string ``b'Nobody inspects the
 spammish repetition'``::
 
diff --git a/Lib/hashlib.py b/Lib/hashlib.py
index 56873b7..0f81de0 100644
--- a/Lib/hashlib.py
+++ b/Lib/hashlib.py
@@ -71,8 +71,6 @@
 __builtin_constructor_cache = {}
 
 __block_openssl_constructor = {
-    'sha3_224', 'sha3_256', 'sha3_384', 'sha3_512',
-    'shake_128', 'shake_256',
     'blake2b', 'blake2s',
 }
 
@@ -125,6 +123,8 @@
         # Prefer our blake2 and sha3 implementation.
         return __get_builtin_constructor(name)
     try:
+        # MD5, SHA1, and SHA2 are in all supported OpenSSL versions
+        # SHA3/shake are available in OpenSSL 1.1.1+
         f = getattr(_hashlib, 'openssl_' + name)
         # Allow the C module to raise ValueError.  The function will be
         # defined but the hash not actually available thanks to OpenSSL.
diff --git a/Lib/test/test_hashlib.py b/Lib/test/test_hashlib.py
index f9fe7e3..b901468 100644
--- a/Lib/test/test_hashlib.py
+++ b/Lib/test/test_hashlib.py
@@ -27,9 +27,10 @@
 py_hashlib = import_fresh_module('hashlib', blocked=['_hashlib'])
 
 try:
-    from _hashlib import HASH
+    from _hashlib import HASH, HASHXOF
 except ImportError:
     HASH = None
+    HASHXOF = None
 
 try:
     import _blake2
@@ -254,6 +255,9 @@
             h = cons()
             if h.name not in self.shakes:
                 continue
+            if HASH is not None and isinstance(h, HASH):
+                # _hashopenssl's take a size_t
+                continue
             for digest in h.digest, h.hexdigest:
                 self.assertRaises(ValueError, digest, -10)
                 for length in large_sizes:
@@ -860,6 +864,18 @@
     def test_get_fips_mode(self):
         self.assertIsInstance(c_hashlib.get_fips_mode(), int)
 
+    @unittest.skipUnless(HASH is not None, 'need _hashlib')
+    def test_internal_types(self):
+        # internal types like _hashlib.HASH are not constructable
+        with self.assertRaisesRegex(
+            TypeError, "cannot create 'HASH' instance"
+        ):
+            HASH()
+        with self.assertRaisesRegex(
+            TypeError, "cannot create 'HASHXOF' instance"
+        ):
+            HASHXOF()
+
 
 class KDFTests(unittest.TestCase):
 
diff --git a/Misc/NEWS.d/next/Library/2020-05-15-19-53-18.bpo-37630.O5kgAw.rst b/Misc/NEWS.d/next/Library/2020-05-15-19-53-18.bpo-37630.O5kgAw.rst
new file mode 100644
index 0000000..78458e6
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2020-05-15-19-53-18.bpo-37630.O5kgAw.rst
@@ -0,0 +1,2 @@
+The :mod:`hashlib` module can now use SHA3 hashes and SHAKE XOF from OpenSSL
+when available.
diff --git a/Modules/_hashopenssl.c b/Modules/_hashopenssl.c
index b55ac93..936b515 100644
--- a/Modules/_hashopenssl.c
+++ b/Modules/_hashopenssl.c
@@ -55,6 +55,9 @@
 
 typedef struct {
     PyTypeObject *EVPtype;
+#ifdef PY_OPENSSL_HAS_SHAKE
+    PyTypeObject *EVPXOFtype;
+#endif
 } _hashlibstate;
 
 static inline _hashlibstate*
@@ -79,8 +82,9 @@
 /*[clinic input]
 module _hashlib
 class _hashlib.HASH "EVPobject *" "((_hashlibstate *)PyModule_GetState(module))->EVPtype"
+class _hashlib.HASHXOF "EVPobject *" "((_hashlibstate *)PyModule_GetState(module))->EVPXOFtype"
 [clinic start generated code]*/
-/*[clinic end generated code: output=da39a3ee5e6b4b0d input=1adf85e8eb2ab979]*/
+/*[clinic end generated code: output=da39a3ee5e6b4b0d input=813acc7b2d8f322c]*/
 
 
 /* LCOV_EXCL_START */
@@ -114,6 +118,15 @@
 }
 /* LCOV_EXCL_STOP */
 
+/* {Py_tp_new, NULL} doesn't block __new__ */
+static PyObject *
+_disabled_new(PyTypeObject *type, PyObject *args, PyObject *kwargs)
+{
+    PyErr_Format(PyExc_TypeError,
+        "cannot create '%.100s' instances", _PyType_Name(type));
+    return NULL;
+}
+
 static PyObject*
 py_digest_name(const EVP_MD *md)
 {
@@ -249,11 +262,9 @@
 }
 
 static EVPobject *
-newEVPobject(void)
+newEVPobject(PyTypeObject *type)
 {
-    EVPobject *retval = (EVPobject *)PyObject_New(
-        EVPobject, _hashlibstate_global->EVPtype
-    );
+    EVPobject *retval = (EVPobject *)PyObject_New(EVPobject, type);
     if (retval == NULL) {
         return NULL;
     }
@@ -327,7 +338,7 @@
 {
     EVPobject *newobj;
 
-    if ( (newobj = newEVPobject())==NULL)
+    if ((newobj = newEVPobject(Py_TYPE(self))) == NULL)
         return NULL;
 
     if (!locked_EVP_MD_CTX_copy(newobj->ctx, self)) {
@@ -502,7 +513,8 @@
     if (!name_obj) {
         return NULL;
     }
-    repr = PyUnicode_FromFormat("<%U HASH object @ %p>", name_obj, self);
+    repr = PyUnicode_FromFormat("<%U %s object @ %p>",
+                                name_obj, Py_TYPE(self)->tp_name, self);
     Py_DECREF(name_obj);
     return repr;
 }
@@ -531,6 +543,7 @@
     {Py_tp_doc, (char *)hashtype_doc},
     {Py_tp_methods, EVP_methods},
     {Py_tp_getset, EVP_getseters},
+    {Py_tp_new, _disabled_new},
     {0, 0},
 };
 
@@ -542,19 +555,179 @@
     EVPtype_slots
 };
 
+#ifdef PY_OPENSSL_HAS_SHAKE
+
+/*[clinic input]
+_hashlib.HASHXOF.digest as EVPXOF_digest
+
+  length: Py_ssize_t
+
+Return the digest value as a bytes object.
+[clinic start generated code]*/
+
 static PyObject *
-EVPnew(const EVP_MD *digest,
+EVPXOF_digest_impl(EVPobject *self, Py_ssize_t length)
+/*[clinic end generated code: output=ef9320c23280efad input=816a6537cea3d1db]*/
+{
+    EVP_MD_CTX *temp_ctx;
+    PyObject *retval = PyBytes_FromStringAndSize(NULL, length);
+
+    if (retval == NULL) {
+        return NULL;
+    }
+
+    temp_ctx = EVP_MD_CTX_new();
+    if (temp_ctx == NULL) {
+        Py_DECREF(retval);
+        PyErr_NoMemory();
+        return NULL;
+    }
+
+    if (!locked_EVP_MD_CTX_copy(temp_ctx, self)) {
+        Py_DECREF(retval);
+        EVP_MD_CTX_free(temp_ctx);
+        return _setException(PyExc_ValueError);
+    }
+    if (!EVP_DigestFinalXOF(temp_ctx,
+                            (unsigned char*)PyBytes_AS_STRING(retval),
+                            length)) {
+        Py_DECREF(retval);
+        EVP_MD_CTX_free(temp_ctx);
+        _setException(PyExc_ValueError);
+        return NULL;
+    }
+
+    EVP_MD_CTX_free(temp_ctx);
+    return retval;
+}
+
+/*[clinic input]
+_hashlib.HASHXOF.hexdigest as EVPXOF_hexdigest
+
+    length: Py_ssize_t
+
+Return the digest value as a string of hexadecimal digits.
+[clinic start generated code]*/
+
+static PyObject *
+EVPXOF_hexdigest_impl(EVPobject *self, Py_ssize_t length)
+/*[clinic end generated code: output=eb3e6ee7788bf5b2 input=5f9d6a8f269e34df]*/
+{
+    unsigned char *digest;
+    EVP_MD_CTX *temp_ctx;
+    PyObject *retval;
+
+    digest = (unsigned char*)PyMem_Malloc(length);
+    if (digest == NULL) {
+        PyErr_NoMemory();
+        return NULL;
+    }
+
+    temp_ctx = EVP_MD_CTX_new();
+    if (temp_ctx == NULL) {
+        PyMem_Free(digest);
+        PyErr_NoMemory();
+        return NULL;
+    }
+
+    /* Get the raw (binary) digest value */
+    if (!locked_EVP_MD_CTX_copy(temp_ctx, self)) {
+        PyMem_Free(digest);
+        EVP_MD_CTX_free(temp_ctx);
+        return _setException(PyExc_ValueError);
+    }
+    if (!EVP_DigestFinalXOF(temp_ctx, digest, length)) {
+        PyMem_Free(digest);
+        EVP_MD_CTX_free(temp_ctx);
+        _setException(PyExc_ValueError);
+        return NULL;
+    }
+
+    EVP_MD_CTX_free(temp_ctx);
+
+    retval = _Py_strhex((const char *)digest, length);
+    PyMem_Free(digest);
+    return retval;
+}
+
+static PyMethodDef EVPXOF_methods[] = {
+    EVPXOF_DIGEST_METHODDEF
+    EVPXOF_HEXDIGEST_METHODDEF
+    {NULL, NULL}  /* sentinel */
+};
+
+
+static PyObject *
+EVPXOF_get_digest_size(EVPobject *self, void *closure)
+{
+    return PyLong_FromLong(0);
+}
+
+static PyGetSetDef EVPXOF_getseters[] = {
+    {"digest_size",
+     (getter)EVPXOF_get_digest_size, NULL,
+     NULL,
+     NULL},
+    {NULL}  /* Sentinel */
+};
+
+PyDoc_STRVAR(hashxoftype_doc,
+"HASHXOF(name, string=b\'\')\n"
+"--\n"
+"\n"
+"A hash is an object used to calculate a checksum of a string of information.\n"
+"\n"
+"Methods:\n"
+"\n"
+"update() -- updates the current digest with an additional string\n"
+"digest(length) -- return the current digest value\n"
+"hexdigest(length) -- return the current digest as a string of hexadecimal digits\n"
+"copy() -- return a copy of the current hash object\n"
+"\n"
+"Attributes:\n"
+"\n"
+"name -- the hash algorithm being used by this object\n"
+"digest_size -- number of bytes in this hashes output");
+
+static PyType_Slot EVPXOFtype_slots[] = {
+    {Py_tp_doc, (char *)hashxoftype_doc},
+    {Py_tp_methods, EVPXOF_methods},
+    {Py_tp_getset, EVPXOF_getseters},
+    {Py_tp_new, _disabled_new},
+    {0, 0},
+};
+
+static PyType_Spec EVPXOFtype_spec = {
+    "_hashlib.HASHXOF",    /*tp_name*/
+    sizeof(EVPobject),  /*tp_basicsize*/
+    0,                  /*tp_itemsize*/
+    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE,
+    EVPXOFtype_slots
+};
+
+
+#endif
+
+static PyObject *
+EVPnew(PyObject *module, const EVP_MD *digest,
        const unsigned char *cp, Py_ssize_t len, int usedforsecurity)
 {
     int result = 0;
     EVPobject *self;
+    PyTypeObject *type = get_hashlib_state(module)->EVPtype;
 
     if (!digest) {
         PyErr_SetString(PyExc_ValueError, "unsupported hash type");
         return NULL;
     }
 
-    if ((self = newEVPobject()) == NULL)
+#ifdef PY_OPENSSL_HAS_SHAKE
+    if ((EVP_MD_flags(digest) & EVP_MD_FLAG_XOF) == EVP_MD_FLAG_XOF) {
+        type = get_hashlib_state(module)->EVPXOFtype;
+    }
+#endif
+
+    if ((self = newEVPobject(type)) == NULL)
         return NULL;
 
     if (!usedforsecurity) {
@@ -614,7 +787,7 @@
     Py_buffer view = { 0 };
     PyObject *ret_obj;
     char *name;
-    const EVP_MD *digest;
+    const EVP_MD *digest = NULL;
 
     if (!PyArg_Parse(name_obj, "s", &name)) {
         PyErr_SetString(PyExc_TypeError, "name must be a string");
@@ -626,7 +799,7 @@
 
     digest = py_digest_by_name(name);
 
-    ret_obj = EVPnew(digest,
+    ret_obj = EVPnew(module, digest,
                      (unsigned char*)view.buf, view.len,
                      usedforsecurity);
 
@@ -645,7 +818,7 @@
     if (data_obj)
         GET_BUFFER_VIEW_OR_ERROUT(data_obj, &view);
 
-    ret_obj = EVPnew(digest,
+    ret_obj = EVPnew(module, digest,
                      (unsigned char*)view.buf, view.len,
                      usedforsecurity);
 
@@ -775,6 +948,125 @@
 }
 
 
+#ifdef PY_OPENSSL_HAS_SHA3
+
+/*[clinic input]
+_hashlib.openssl_sha3_224
+
+    string as data_obj: object(py_default="b''") = NULL
+    *
+    usedforsecurity: bool = True
+
+Returns a sha3-224 hash object; optionally initialized with a string
+
+[clinic start generated code]*/
+
+static PyObject *
+_hashlib_openssl_sha3_224_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity)
+/*[clinic end generated code: output=144641c1d144b974 input=e3a01b2888916157]*/
+{
+    return EVP_fast_new(module, data_obj, EVP_sha3_224(), usedforsecurity);
+}
+
+/*[clinic input]
+_hashlib.openssl_sha3_256
+
+    string as data_obj: object(py_default="b''") = NULL
+    *
+    usedforsecurity: bool = True
+
+Returns a sha3-256 hash object; optionally initialized with a string
+
+[clinic start generated code]*/
+
+static PyObject *
+_hashlib_openssl_sha3_256_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity)
+/*[clinic end generated code: output=c61f1ab772d06668 input=e2908126c1b6deed]*/
+{
+    return EVP_fast_new(module, data_obj, EVP_sha3_256(), usedforsecurity);
+}
+
+/*[clinic input]
+_hashlib.openssl_sha3_384
+
+    string as data_obj: object(py_default="b''") = NULL
+    *
+    usedforsecurity: bool = True
+
+Returns a sha3-384 hash object; optionally initialized with a string
+
+[clinic start generated code]*/
+
+static PyObject *
+_hashlib_openssl_sha3_384_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity)
+/*[clinic end generated code: output=f68e4846858cf0ee input=ec0edf5c792f8252]*/
+{
+    return EVP_fast_new(module, data_obj, EVP_sha3_384(), usedforsecurity);
+}
+
+/*[clinic input]
+_hashlib.openssl_sha3_512
+
+    string as data_obj: object(py_default="b''") = NULL
+    *
+    usedforsecurity: bool = True
+
+Returns a sha3-512 hash object; optionally initialized with a string
+
+[clinic start generated code]*/
+
+static PyObject *
+_hashlib_openssl_sha3_512_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity)
+/*[clinic end generated code: output=2eede478c159354a input=64e2cc0c094d56f4]*/
+{
+    return EVP_fast_new(module, data_obj, EVP_sha3_512(), usedforsecurity);
+}
+#endif /* PY_OPENSSL_HAS_SHA3 */
+
+#ifdef PY_OPENSSL_HAS_SHAKE
+/*[clinic input]
+_hashlib.openssl_shake128
+
+    string as data_obj: object(py_default="b''") = NULL
+    *
+    usedforsecurity: bool = True
+
+Returns a shake128 variable hash object; optionally initialized with a string
+
+[clinic start generated code]*/
+
+static PyObject *
+_hashlib_openssl_shake128_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity)
+/*[clinic end generated code: output=c68a0e30b4c09e1a input=b6d1e9566bacbb64]*/
+{
+    return EVP_fast_new(module, data_obj, EVP_shake128(), usedforsecurity);
+}
+
+/*[clinic input]
+_hashlib.openssl_shake256
+
+    string as data_obj: object(py_default="b''") = NULL
+    *
+    usedforsecurity: bool = True
+
+Returns a shake256 variable hash object; optionally initialized with a string
+
+[clinic start generated code]*/
+
+static PyObject *
+_hashlib_openssl_shake256_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity)
+/*[clinic end generated code: output=d56387762dcad516 input=591b9b78c0498116]*/
+{
+    return EVP_fast_new(module, data_obj, EVP_shake256(), usedforsecurity);
+}
+#endif /* PY_OPENSSL_HAS_SHAKE */
+
 /*[clinic input]
 _hashlib.pbkdf2_hmac as pbkdf2_hmac
 
@@ -1163,6 +1455,12 @@
     _HASHLIB_OPENSSL_SHA256_METHODDEF
     _HASHLIB_OPENSSL_SHA384_METHODDEF
     _HASHLIB_OPENSSL_SHA512_METHODDEF
+    _HASHLIB_OPENSSL_SHA3_224_METHODDEF
+    _HASHLIB_OPENSSL_SHA3_256_METHODDEF
+    _HASHLIB_OPENSSL_SHA3_384_METHODDEF
+    _HASHLIB_OPENSSL_SHA3_512_METHODDEF
+    _HASHLIB_OPENSSL_SHAKE128_METHODDEF
+    _HASHLIB_OPENSSL_SHAKE256_METHODDEF
     {NULL,      NULL}            /* Sentinel */
 };
 
@@ -1174,6 +1472,9 @@
 {
     _hashlibstate *state = get_hashlib_state(m);
     Py_VISIT(state->EVPtype);
+#ifdef PY_OPENSSL_HAS_SHAKE
+    Py_VISIT(state->EVPXOFtype);
+#endif
     return 0;
 }
 
@@ -1182,6 +1483,9 @@
 {
     _hashlibstate *state = get_hashlib_state(m);
     Py_CLEAR(state->EVPtype);
+#ifdef PY_OPENSSL_HAS_SHAKE
+    Py_CLEAR(state->EVPXOFtype);
+#endif
     return 0;
 }
 
@@ -1208,6 +1512,10 @@
 PyInit__hashlib(void)
 {
     PyObject *m, *openssl_md_meth_names;
+    _hashlibstate *state = NULL;
+#ifdef PY_OPENSSL_HAS_SHAKE
+    PyObject *bases;
+#endif
 
 #if (OPENSSL_VERSION_NUMBER < 0x10100000L) || defined(LIBRESSL_VERSION_NUMBER)
     /* Load all digest algorithms and initialize cpuid */
@@ -1225,10 +1533,37 @@
     if (m == NULL)
         return NULL;
 
+    state = get_hashlib_state(m);
+
     PyTypeObject *EVPtype = (PyTypeObject *)PyType_FromSpec(&EVPtype_spec);
-    if (EVPtype == NULL)
+    if (EVPtype == NULL) {
+        Py_DECREF(m);
         return NULL;
-    get_hashlib_state(m)->EVPtype = EVPtype;
+    }
+    state->EVPtype = EVPtype;
+
+    Py_INCREF((PyObject *)state->EVPtype);
+    PyModule_AddObject(m, "HASH", (PyObject *)state->EVPtype);
+
+#ifdef PY_OPENSSL_HAS_SHAKE
+    bases = PyTuple_Pack(1, (PyObject *)EVPtype);
+    if (bases == NULL) {
+        Py_DECREF(m);
+        return NULL;
+    }
+    PyTypeObject *EVPXOFtype = (PyTypeObject *)PyType_FromSpecWithBases(
+        &EVPXOFtype_spec, bases
+    );
+    Py_DECREF(bases);
+    if (EVPXOFtype == NULL) {
+        Py_DECREF(m);
+        return NULL;
+    }
+    state->EVPXOFtype = EVPXOFtype;
+
+    Py_INCREF((PyObject *)state->EVPXOFtype);
+    PyModule_AddObject(m, "HASHXOF", (PyObject *)state->EVPXOFtype);
+#endif
 
     openssl_md_meth_names = generate_hash_name_list();
     if (openssl_md_meth_names == NULL) {
@@ -1240,9 +1575,6 @@
         return NULL;
     }
 
-    Py_INCREF((PyObject *)get_hashlib_state(m)->EVPtype);
-    PyModule_AddObject(m, "HASH", (PyObject *)get_hashlib_state(m)->EVPtype);
-
     PyState_AddModule(m, &_hashlibmodule);
     return m;
 }
diff --git a/Modules/clinic/_hashopenssl.c.h b/Modules/clinic/_hashopenssl.c.h
index 1b0c6d0..71c9246 100644
--- a/Modules/clinic/_hashopenssl.c.h
+++ b/Modules/clinic/_hashopenssl.c.h
@@ -65,6 +65,110 @@
 #define EVP_UPDATE_METHODDEF    \
     {"update", (PyCFunction)EVP_update, METH_O, EVP_update__doc__},
 
+#if defined(PY_OPENSSL_HAS_SHAKE)
+
+PyDoc_STRVAR(EVPXOF_digest__doc__,
+"digest($self, /, length)\n"
+"--\n"
+"\n"
+"Return the digest value as a bytes object.");
+
+#define EVPXOF_DIGEST_METHODDEF    \
+    {"digest", (PyCFunction)(void(*)(void))EVPXOF_digest, METH_FASTCALL|METH_KEYWORDS, EVPXOF_digest__doc__},
+
+static PyObject *
+EVPXOF_digest_impl(EVPobject *self, Py_ssize_t length);
+
+static PyObject *
+EVPXOF_digest(EVPobject *self, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames)
+{
+    PyObject *return_value = NULL;
+    static const char * const _keywords[] = {"length", NULL};
+    static _PyArg_Parser _parser = {NULL, _keywords, "digest", 0};
+    PyObject *argsbuf[1];
+    Py_ssize_t length;
+
+    args = _PyArg_UnpackKeywords(args, nargs, NULL, kwnames, &_parser, 1, 1, 0, argsbuf);
+    if (!args) {
+        goto exit;
+    }
+    if (PyFloat_Check(args[0])) {
+        PyErr_SetString(PyExc_TypeError,
+                        "integer argument expected, got float" );
+        goto exit;
+    }
+    {
+        Py_ssize_t ival = -1;
+        PyObject *iobj = PyNumber_Index(args[0]);
+        if (iobj != NULL) {
+            ival = PyLong_AsSsize_t(iobj);
+            Py_DECREF(iobj);
+        }
+        if (ival == -1 && PyErr_Occurred()) {
+            goto exit;
+        }
+        length = ival;
+    }
+    return_value = EVPXOF_digest_impl(self, length);
+
+exit:
+    return return_value;
+}
+
+#endif /* defined(PY_OPENSSL_HAS_SHAKE) */
+
+#if defined(PY_OPENSSL_HAS_SHAKE)
+
+PyDoc_STRVAR(EVPXOF_hexdigest__doc__,
+"hexdigest($self, /, length)\n"
+"--\n"
+"\n"
+"Return the digest value as a string of hexadecimal digits.");
+
+#define EVPXOF_HEXDIGEST_METHODDEF    \
+    {"hexdigest", (PyCFunction)(void(*)(void))EVPXOF_hexdigest, METH_FASTCALL|METH_KEYWORDS, EVPXOF_hexdigest__doc__},
+
+static PyObject *
+EVPXOF_hexdigest_impl(EVPobject *self, Py_ssize_t length);
+
+static PyObject *
+EVPXOF_hexdigest(EVPobject *self, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames)
+{
+    PyObject *return_value = NULL;
+    static const char * const _keywords[] = {"length", NULL};
+    static _PyArg_Parser _parser = {NULL, _keywords, "hexdigest", 0};
+    PyObject *argsbuf[1];
+    Py_ssize_t length;
+
+    args = _PyArg_UnpackKeywords(args, nargs, NULL, kwnames, &_parser, 1, 1, 0, argsbuf);
+    if (!args) {
+        goto exit;
+    }
+    if (PyFloat_Check(args[0])) {
+        PyErr_SetString(PyExc_TypeError,
+                        "integer argument expected, got float" );
+        goto exit;
+    }
+    {
+        Py_ssize_t ival = -1;
+        PyObject *iobj = PyNumber_Index(args[0]);
+        if (iobj != NULL) {
+            ival = PyLong_AsSsize_t(iobj);
+            Py_DECREF(iobj);
+        }
+        if (ival == -1 && PyErr_Occurred()) {
+            goto exit;
+        }
+        length = ival;
+    }
+    return_value = EVPXOF_hexdigest_impl(self, length);
+
+exit:
+    return return_value;
+}
+
+#endif /* defined(PY_OPENSSL_HAS_SHAKE) */
+
 PyDoc_STRVAR(EVP_new__doc__,
 "new($module, /, name, string=b\'\', *, usedforsecurity=True)\n"
 "--\n"
@@ -436,6 +540,342 @@
     return return_value;
 }
 
+#if defined(PY_OPENSSL_HAS_SHA3)
+
+PyDoc_STRVAR(_hashlib_openssl_sha3_224__doc__,
+"openssl_sha3_224($module, /, string=b\'\', *, usedforsecurity=True)\n"
+"--\n"
+"\n"
+"Returns a sha3-224 hash object; optionally initialized with a string");
+
+#define _HASHLIB_OPENSSL_SHA3_224_METHODDEF    \
+    {"openssl_sha3_224", (PyCFunction)(void(*)(void))_hashlib_openssl_sha3_224, METH_FASTCALL|METH_KEYWORDS, _hashlib_openssl_sha3_224__doc__},
+
+static PyObject *
+_hashlib_openssl_sha3_224_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity);
+
+static PyObject *
+_hashlib_openssl_sha3_224(PyObject *module, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames)
+{
+    PyObject *return_value = NULL;
+    static const char * const _keywords[] = {"string", "usedforsecurity", NULL};
+    static _PyArg_Parser _parser = {NULL, _keywords, "openssl_sha3_224", 0};
+    PyObject *argsbuf[2];
+    Py_ssize_t noptargs = nargs + (kwnames ? PyTuple_GET_SIZE(kwnames) : 0) - 0;
+    PyObject *data_obj = NULL;
+    int usedforsecurity = 1;
+
+    args = _PyArg_UnpackKeywords(args, nargs, NULL, kwnames, &_parser, 0, 1, 0, argsbuf);
+    if (!args) {
+        goto exit;
+    }
+    if (!noptargs) {
+        goto skip_optional_pos;
+    }
+    if (args[0]) {
+        data_obj = args[0];
+        if (!--noptargs) {
+            goto skip_optional_pos;
+        }
+    }
+skip_optional_pos:
+    if (!noptargs) {
+        goto skip_optional_kwonly;
+    }
+    usedforsecurity = PyObject_IsTrue(args[1]);
+    if (usedforsecurity < 0) {
+        goto exit;
+    }
+skip_optional_kwonly:
+    return_value = _hashlib_openssl_sha3_224_impl(module, data_obj, usedforsecurity);
+
+exit:
+    return return_value;
+}
+
+#endif /* defined(PY_OPENSSL_HAS_SHA3) */
+
+#if defined(PY_OPENSSL_HAS_SHA3)
+
+PyDoc_STRVAR(_hashlib_openssl_sha3_256__doc__,
+"openssl_sha3_256($module, /, string=b\'\', *, usedforsecurity=True)\n"
+"--\n"
+"\n"
+"Returns a sha3-256 hash object; optionally initialized with a string");
+
+#define _HASHLIB_OPENSSL_SHA3_256_METHODDEF    \
+    {"openssl_sha3_256", (PyCFunction)(void(*)(void))_hashlib_openssl_sha3_256, METH_FASTCALL|METH_KEYWORDS, _hashlib_openssl_sha3_256__doc__},
+
+static PyObject *
+_hashlib_openssl_sha3_256_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity);
+
+static PyObject *
+_hashlib_openssl_sha3_256(PyObject *module, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames)
+{
+    PyObject *return_value = NULL;
+    static const char * const _keywords[] = {"string", "usedforsecurity", NULL};
+    static _PyArg_Parser _parser = {NULL, _keywords, "openssl_sha3_256", 0};
+    PyObject *argsbuf[2];
+    Py_ssize_t noptargs = nargs + (kwnames ? PyTuple_GET_SIZE(kwnames) : 0) - 0;
+    PyObject *data_obj = NULL;
+    int usedforsecurity = 1;
+
+    args = _PyArg_UnpackKeywords(args, nargs, NULL, kwnames, &_parser, 0, 1, 0, argsbuf);
+    if (!args) {
+        goto exit;
+    }
+    if (!noptargs) {
+        goto skip_optional_pos;
+    }
+    if (args[0]) {
+        data_obj = args[0];
+        if (!--noptargs) {
+            goto skip_optional_pos;
+        }
+    }
+skip_optional_pos:
+    if (!noptargs) {
+        goto skip_optional_kwonly;
+    }
+    usedforsecurity = PyObject_IsTrue(args[1]);
+    if (usedforsecurity < 0) {
+        goto exit;
+    }
+skip_optional_kwonly:
+    return_value = _hashlib_openssl_sha3_256_impl(module, data_obj, usedforsecurity);
+
+exit:
+    return return_value;
+}
+
+#endif /* defined(PY_OPENSSL_HAS_SHA3) */
+
+#if defined(PY_OPENSSL_HAS_SHA3)
+
+PyDoc_STRVAR(_hashlib_openssl_sha3_384__doc__,
+"openssl_sha3_384($module, /, string=b\'\', *, usedforsecurity=True)\n"
+"--\n"
+"\n"
+"Returns a sha3-384 hash object; optionally initialized with a string");
+
+#define _HASHLIB_OPENSSL_SHA3_384_METHODDEF    \
+    {"openssl_sha3_384", (PyCFunction)(void(*)(void))_hashlib_openssl_sha3_384, METH_FASTCALL|METH_KEYWORDS, _hashlib_openssl_sha3_384__doc__},
+
+static PyObject *
+_hashlib_openssl_sha3_384_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity);
+
+static PyObject *
+_hashlib_openssl_sha3_384(PyObject *module, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames)
+{
+    PyObject *return_value = NULL;
+    static const char * const _keywords[] = {"string", "usedforsecurity", NULL};
+    static _PyArg_Parser _parser = {NULL, _keywords, "openssl_sha3_384", 0};
+    PyObject *argsbuf[2];
+    Py_ssize_t noptargs = nargs + (kwnames ? PyTuple_GET_SIZE(kwnames) : 0) - 0;
+    PyObject *data_obj = NULL;
+    int usedforsecurity = 1;
+
+    args = _PyArg_UnpackKeywords(args, nargs, NULL, kwnames, &_parser, 0, 1, 0, argsbuf);
+    if (!args) {
+        goto exit;
+    }
+    if (!noptargs) {
+        goto skip_optional_pos;
+    }
+    if (args[0]) {
+        data_obj = args[0];
+        if (!--noptargs) {
+            goto skip_optional_pos;
+        }
+    }
+skip_optional_pos:
+    if (!noptargs) {
+        goto skip_optional_kwonly;
+    }
+    usedforsecurity = PyObject_IsTrue(args[1]);
+    if (usedforsecurity < 0) {
+        goto exit;
+    }
+skip_optional_kwonly:
+    return_value = _hashlib_openssl_sha3_384_impl(module, data_obj, usedforsecurity);
+
+exit:
+    return return_value;
+}
+
+#endif /* defined(PY_OPENSSL_HAS_SHA3) */
+
+#if defined(PY_OPENSSL_HAS_SHA3)
+
+PyDoc_STRVAR(_hashlib_openssl_sha3_512__doc__,
+"openssl_sha3_512($module, /, string=b\'\', *, usedforsecurity=True)\n"
+"--\n"
+"\n"
+"Returns a sha3-512 hash object; optionally initialized with a string");
+
+#define _HASHLIB_OPENSSL_SHA3_512_METHODDEF    \
+    {"openssl_sha3_512", (PyCFunction)(void(*)(void))_hashlib_openssl_sha3_512, METH_FASTCALL|METH_KEYWORDS, _hashlib_openssl_sha3_512__doc__},
+
+static PyObject *
+_hashlib_openssl_sha3_512_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity);
+
+static PyObject *
+_hashlib_openssl_sha3_512(PyObject *module, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames)
+{
+    PyObject *return_value = NULL;
+    static const char * const _keywords[] = {"string", "usedforsecurity", NULL};
+    static _PyArg_Parser _parser = {NULL, _keywords, "openssl_sha3_512", 0};
+    PyObject *argsbuf[2];
+    Py_ssize_t noptargs = nargs + (kwnames ? PyTuple_GET_SIZE(kwnames) : 0) - 0;
+    PyObject *data_obj = NULL;
+    int usedforsecurity = 1;
+
+    args = _PyArg_UnpackKeywords(args, nargs, NULL, kwnames, &_parser, 0, 1, 0, argsbuf);
+    if (!args) {
+        goto exit;
+    }
+    if (!noptargs) {
+        goto skip_optional_pos;
+    }
+    if (args[0]) {
+        data_obj = args[0];
+        if (!--noptargs) {
+            goto skip_optional_pos;
+        }
+    }
+skip_optional_pos:
+    if (!noptargs) {
+        goto skip_optional_kwonly;
+    }
+    usedforsecurity = PyObject_IsTrue(args[1]);
+    if (usedforsecurity < 0) {
+        goto exit;
+    }
+skip_optional_kwonly:
+    return_value = _hashlib_openssl_sha3_512_impl(module, data_obj, usedforsecurity);
+
+exit:
+    return return_value;
+}
+
+#endif /* defined(PY_OPENSSL_HAS_SHA3) */
+
+#if defined(PY_OPENSSL_HAS_SHAKE)
+
+PyDoc_STRVAR(_hashlib_openssl_shake128__doc__,
+"openssl_shake128($module, /, string=b\'\', *, usedforsecurity=True)\n"
+"--\n"
+"\n"
+"Returns a shake128 variable hash object; optionally initialized with a string");
+
+#define _HASHLIB_OPENSSL_SHAKE128_METHODDEF    \
+    {"openssl_shake128", (PyCFunction)(void(*)(void))_hashlib_openssl_shake128, METH_FASTCALL|METH_KEYWORDS, _hashlib_openssl_shake128__doc__},
+
+static PyObject *
+_hashlib_openssl_shake128_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity);
+
+static PyObject *
+_hashlib_openssl_shake128(PyObject *module, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames)
+{
+    PyObject *return_value = NULL;
+    static const char * const _keywords[] = {"string", "usedforsecurity", NULL};
+    static _PyArg_Parser _parser = {NULL, _keywords, "openssl_shake128", 0};
+    PyObject *argsbuf[2];
+    Py_ssize_t noptargs = nargs + (kwnames ? PyTuple_GET_SIZE(kwnames) : 0) - 0;
+    PyObject *data_obj = NULL;
+    int usedforsecurity = 1;
+
+    args = _PyArg_UnpackKeywords(args, nargs, NULL, kwnames, &_parser, 0, 1, 0, argsbuf);
+    if (!args) {
+        goto exit;
+    }
+    if (!noptargs) {
+        goto skip_optional_pos;
+    }
+    if (args[0]) {
+        data_obj = args[0];
+        if (!--noptargs) {
+            goto skip_optional_pos;
+        }
+    }
+skip_optional_pos:
+    if (!noptargs) {
+        goto skip_optional_kwonly;
+    }
+    usedforsecurity = PyObject_IsTrue(args[1]);
+    if (usedforsecurity < 0) {
+        goto exit;
+    }
+skip_optional_kwonly:
+    return_value = _hashlib_openssl_shake128_impl(module, data_obj, usedforsecurity);
+
+exit:
+    return return_value;
+}
+
+#endif /* defined(PY_OPENSSL_HAS_SHAKE) */
+
+#if defined(PY_OPENSSL_HAS_SHAKE)
+
+PyDoc_STRVAR(_hashlib_openssl_shake256__doc__,
+"openssl_shake256($module, /, string=b\'\', *, usedforsecurity=True)\n"
+"--\n"
+"\n"
+"Returns a shake256 variable hash object; optionally initialized with a string");
+
+#define _HASHLIB_OPENSSL_SHAKE256_METHODDEF    \
+    {"openssl_shake256", (PyCFunction)(void(*)(void))_hashlib_openssl_shake256, METH_FASTCALL|METH_KEYWORDS, _hashlib_openssl_shake256__doc__},
+
+static PyObject *
+_hashlib_openssl_shake256_impl(PyObject *module, PyObject *data_obj,
+                               int usedforsecurity);
+
+static PyObject *
+_hashlib_openssl_shake256(PyObject *module, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames)
+{
+    PyObject *return_value = NULL;
+    static const char * const _keywords[] = {"string", "usedforsecurity", NULL};
+    static _PyArg_Parser _parser = {NULL, _keywords, "openssl_shake256", 0};
+    PyObject *argsbuf[2];
+    Py_ssize_t noptargs = nargs + (kwnames ? PyTuple_GET_SIZE(kwnames) : 0) - 0;
+    PyObject *data_obj = NULL;
+    int usedforsecurity = 1;
+
+    args = _PyArg_UnpackKeywords(args, nargs, NULL, kwnames, &_parser, 0, 1, 0, argsbuf);
+    if (!args) {
+        goto exit;
+    }
+    if (!noptargs) {
+        goto skip_optional_pos;
+    }
+    if (args[0]) {
+        data_obj = args[0];
+        if (!--noptargs) {
+            goto skip_optional_pos;
+        }
+    }
+skip_optional_pos:
+    if (!noptargs) {
+        goto skip_optional_kwonly;
+    }
+    usedforsecurity = PyObject_IsTrue(args[1]);
+    if (usedforsecurity < 0) {
+        goto exit;
+    }
+skip_optional_kwonly:
+    return_value = _hashlib_openssl_shake256_impl(module, data_obj, usedforsecurity);
+
+exit:
+    return return_value;
+}
+
+#endif /* defined(PY_OPENSSL_HAS_SHAKE) */
+
 PyDoc_STRVAR(pbkdf2_hmac__doc__,
 "pbkdf2_hmac($module, /, hash_name, password, salt, iterations,\n"
 "            dklen=None)\n"
@@ -764,6 +1204,38 @@
 
 #endif /* !defined(LIBRESSL_VERSION_NUMBER) */
 
+#ifndef EVPXOF_DIGEST_METHODDEF
+    #define EVPXOF_DIGEST_METHODDEF
+#endif /* !defined(EVPXOF_DIGEST_METHODDEF) */
+
+#ifndef EVPXOF_HEXDIGEST_METHODDEF
+    #define EVPXOF_HEXDIGEST_METHODDEF
+#endif /* !defined(EVPXOF_HEXDIGEST_METHODDEF) */
+
+#ifndef _HASHLIB_OPENSSL_SHA3_224_METHODDEF
+    #define _HASHLIB_OPENSSL_SHA3_224_METHODDEF
+#endif /* !defined(_HASHLIB_OPENSSL_SHA3_224_METHODDEF) */
+
+#ifndef _HASHLIB_OPENSSL_SHA3_256_METHODDEF
+    #define _HASHLIB_OPENSSL_SHA3_256_METHODDEF
+#endif /* !defined(_HASHLIB_OPENSSL_SHA3_256_METHODDEF) */
+
+#ifndef _HASHLIB_OPENSSL_SHA3_384_METHODDEF
+    #define _HASHLIB_OPENSSL_SHA3_384_METHODDEF
+#endif /* !defined(_HASHLIB_OPENSSL_SHA3_384_METHODDEF) */
+
+#ifndef _HASHLIB_OPENSSL_SHA3_512_METHODDEF
+    #define _HASHLIB_OPENSSL_SHA3_512_METHODDEF
+#endif /* !defined(_HASHLIB_OPENSSL_SHA3_512_METHODDEF) */
+
+#ifndef _HASHLIB_OPENSSL_SHAKE128_METHODDEF
+    #define _HASHLIB_OPENSSL_SHAKE128_METHODDEF
+#endif /* !defined(_HASHLIB_OPENSSL_SHAKE128_METHODDEF) */
+
+#ifndef _HASHLIB_OPENSSL_SHAKE256_METHODDEF
+    #define _HASHLIB_OPENSSL_SHAKE256_METHODDEF
+#endif /* !defined(_HASHLIB_OPENSSL_SHAKE256_METHODDEF) */
+
 #ifndef _HASHLIB_SCRYPT_METHODDEF
     #define _HASHLIB_SCRYPT_METHODDEF
 #endif /* !defined(_HASHLIB_SCRYPT_METHODDEF) */
@@ -771,4 +1243,4 @@
 #ifndef _HASHLIB_GET_FIPS_MODE_METHODDEF
     #define _HASHLIB_GET_FIPS_MODE_METHODDEF
 #endif /* !defined(_HASHLIB_GET_FIPS_MODE_METHODDEF) */
-/*[clinic end generated code: output=4babbd88389a196b input=a9049054013a1b77]*/
+/*[clinic end generated code: output=a39bf0a766d7cdf7 input=a9049054013a1b77]*/