bpo-40204, doc: Fix syntax of C variables (GH-21846)

For example, fix the following Sphinx 3 errors:

Doc/c-api/buffer.rst:102: WARNING: Error in declarator or parameters
Invalid C declaration: Expected identifier in nested name. [error at 5]
  void \*obj
  -----^

Doc/c-api/arg.rst:130: WARNING: Unparseable C cross-reference: 'PyObject*'
Invalid C declaration: Expected end of definition. [error at 8]
  PyObject*
  --------^

The modified documentation is compatible with Sphinx 2 and Sphinx 3.

18 files changed, 103 insertions, 103 deletions

diff --git a/Doc/c-api/arg.rst b/Doc/c-api/arg.rst
index 26e872c..bdaae44 100644
--- a/Doc/c-api/arg.rst
+++ b/Doc/c-api/arg.rst
@@ -129,12 +129,12 @@ which disallows mutable objects such as :class:`bytearray`.
 ``S`` (:class:`bytes`) [PyBytesObject \*]
    Requires that the Python object is a :class:`bytes` object, without
    attempting any conversion.  Raises :exc:`TypeError` if the object is not
-   a bytes object.  The C variable may also be declared as :c:type:`PyObject\*`.
+   a bytes object.  The C variable may also be declared as :c:type:`PyObject*`.
 
 ``Y`` (:class:`bytearray`) [PyByteArrayObject \*]
    Requires that the Python object is a :class:`bytearray` object, without
    attempting any conversion.  Raises :exc:`TypeError` if the object is not
-   a :class:`bytearray` object. The C variable may also be declared as :c:type:`PyObject\*`.
+   a :class:`bytearray` object. The C variable may also be declared as :c:type:`PyObject*`.
 
 ``u`` (:class:`str`) [const Py_UNICODE \*]
    Convert a Python Unicode object to a C pointer to a NUL-terminated buffer of
@@ -181,7 +181,7 @@ which disallows mutable objects such as :class:`bytearray`.
 ``U`` (:class:`str`) [PyObject \*]
    Requires that the Python object is a Unicode object, without attempting
    any conversion.  Raises :exc:`TypeError` if the object is not a Unicode
-   object.  The C variable may also be declared as :c:type:`PyObject\*`.
+   object.  The C variable may also be declared as :c:type:`PyObject*`.
 
 ``w*`` (read-write :term:`bytes-like object`) [Py_buffer]
    This format accepts any object which implements the read-write buffer
@@ -194,10 +194,10 @@ which disallows mutable objects such as :class:`bytearray`.
    It only works for encoded data without embedded NUL bytes.
 
    This format requires two arguments.  The first is only used as input, and
-   must be a :c:type:`const char\*` which points to the name of an encoding as a
+   must be a :c:type:`const char*` which points to the name of an encoding as a
    NUL-terminated string, or ``NULL``, in which case ``'utf-8'`` encoding is used.
    An exception is raised if the named encoding is not known to Python.  The
-   second argument must be a :c:type:`char\*\*`; the value of the pointer it
+   second argument must be a :c:type:`char**`; the value of the pointer it
    references will be set to a buffer with the contents of the argument text.
    The text will be encoded in the encoding specified by the first argument.
 
@@ -217,10 +217,10 @@ which disallows mutable objects such as :class:`bytearray`.
    characters.
 
    It requires three arguments.  The first is only used as input, and must be a
-   :c:type:`const char\*` which points to the name of an encoding as a
+   :c:type:`const char*` which points to the name of an encoding as a
    NUL-terminated string, or ``NULL``, in which case ``'utf-8'`` encoding is used.
    An exception is raised if the named encoding is not known to Python.  The
-   second argument must be a :c:type:`char\*\*`; the value of the pointer it
+   second argument must be a :c:type:`char**`; the value of the pointer it
    references will be set to a buffer with the contents of the argument text.
    The text will be encoded in the encoding specified by the first argument.
    The third argument must be a pointer to an integer; the referenced integer
@@ -320,7 +320,7 @@ Other objects
 ``O!`` (object) [*typeobject*, PyObject \*]
    Store a Python object in a C object pointer.  This is similar to ``O``, but
    takes two C arguments: the first is the address of a Python type object, the
-   second is the address of the C variable (of type :c:type:`PyObject\*`) into which
+   second is the address of the C variable (of type :c:type:`PyObject*`) into which
    the object pointer is stored.  If the Python object does not have the required
    type, :exc:`TypeError` is raised.
 
@@ -329,13 +329,13 @@ Other objects
 ``O&`` (object) [*converter*, *anything*]
    Convert a Python object to a C variable through a *converter* function.  This
    takes two arguments: the first is a function, the second is the address of a C
-   variable (of arbitrary type), converted to :c:type:`void \*`.  The *converter*
+   variable (of arbitrary type), converted to :c:type:`void *`.  The *converter*
    function in turn is called as follows::
 
       status = converter(object, address);
 
    where *object* is the Python object to be converted and *address* is the
-   :c:type:`void\*` argument that was passed to the :c:func:`PyArg_Parse\*` function.
+   :c:type:`void*` argument that was passed to the :c:func:`PyArg_Parse\*` function.
    The returned *status* should be ``1`` for a successful conversion and ``0`` if
    the conversion has failed.  When the conversion fails, the *converter* function
    should raise an exception and leave the content of *address* unmodified.
@@ -481,7 +481,7 @@ API Functions
    *args*; it must actually be a tuple.  The length of the tuple must be at least
    *min* and no more than *max*; *min* and *max* may be equal.  Additional
    arguments must be passed to the function, each of which should be a pointer to a
-   :c:type:`PyObject\*` variable; these will be filled in with the values from
+   :c:type:`PyObject*` variable; these will be filled in with the values from
    *args*; they will contain borrowed references.  The variables which correspond
    to optional parameters not given by *args* will not be filled in; these should
    be initialized by the caller. This function returns true on success and false if
@@ -650,8 +650,8 @@ Building values
 
    ``O&`` (object) [*converter*, *anything*]
       Convert *anything* to a Python object through a *converter* function.  The
-      function is called with *anything* (which should be compatible with :c:type:`void
-      \*`) as its argument and should return a "new" Python object, or ``NULL`` if an
+      function is called with *anything* (which should be compatible with :c:type:`void*`)
+      as its argument and should return a "new" Python object, or ``NULL`` if an
       error occurred.
 
    ``(items)`` (:class:`tuple`) [*matching-items*]
diff --git a/Doc/c-api/buffer.rst b/Doc/c-api/buffer.rst
index ddb28af..e327193 100644
--- a/Doc/c-api/buffer.rst
+++ b/Doc/c-api/buffer.rst
@@ -89,7 +89,7 @@ a buffer, see :c:func:`PyObject_GetBuffer`.
 
 .. c:type:: Py_buffer
 
-   .. c:member:: void \*buf
+   .. c:member:: void *buf
 
       A pointer to the start of the logical structure described by the buffer
       fields. This can be any location within the underlying physical memory
@@ -99,7 +99,7 @@ a buffer, see :c:func:`PyObject_GetBuffer`.
       For :term:`contiguous` arrays, the value points to the beginning of
       the memory block.
 
-   .. c:member:: void \*obj
+   .. c:member:: void *obj
 
       A new reference to the exporting object. The reference is owned by
       the consumer and automatically decremented and set to ``NULL`` by
@@ -145,7 +145,7 @@ a buffer, see :c:func:`PyObject_GetBuffer`.
       or a :c:macro:`PyBUF_WRITABLE` request, the consumer must disregard
       :c:member:`~Py_buffer.itemsize` and assume ``itemsize == 1``.
 
-   .. c:member:: const char \*format
+   .. c:member:: const char *format
 
       A *NUL* terminated string in :mod:`struct` module style syntax describing
       the contents of a single item. If this is ``NULL``, ``"B"`` (unsigned bytes)
@@ -164,7 +164,7 @@ a buffer, see :c:func:`PyObject_GetBuffer`.
       to 64. Exporters MUST respect this limit, consumers of multi-dimensional
       buffers SHOULD be able to handle up to :c:macro:`PyBUF_MAX_NDIM` dimensions.
 
-   .. c:member:: Py_ssize_t \*shape
+   .. c:member:: Py_ssize_t *shape
 
       An array of :c:type:`Py_ssize_t` of length :c:member:`~Py_buffer.ndim`
       indicating the shape of the memory as an n-dimensional array. Note that
@@ -177,7 +177,7 @@ a buffer, see :c:func:`PyObject_GetBuffer`.
 
       The shape array is read-only for the consumer.
 
-   .. c:member:: Py_ssize_t \*strides
+   .. c:member:: Py_ssize_t *strides
 
       An array of :c:type:`Py_ssize_t` of length :c:member:`~Py_buffer.ndim`
       giving the number of bytes to skip to get to a new element in each
@@ -189,7 +189,7 @@ a buffer, see :c:func:`PyObject_GetBuffer`.
 
       The strides array is read-only for the consumer.
 
-   .. c:member:: Py_ssize_t \*suboffsets
+   .. c:member:: Py_ssize_t *suboffsets
 
       An array of :c:type:`Py_ssize_t` of length :c:member:`~Py_buffer.ndim`.
       If ``suboffsets[n] >= 0``, the values stored along the nth dimension are
@@ -207,7 +207,7 @@ a buffer, see :c:func:`PyObject_GetBuffer`.
 
       The suboffsets array is read-only for the consumer.
 
-   .. c:member:: void \*internal
+   .. c:member:: void *internal
 
       This is for use internally by the exporting object. For example, this
       might be re-cast as an integer by the exporter and used to store flags
@@ -438,12 +438,12 @@ Buffer-related functions
 
    Send a request to *exporter* to fill in *view* as specified by  *flags*.
    If the exporter cannot provide a buffer of the exact type, it MUST raise
-   :c:data:`PyExc_BufferError`, set :c:member:`view->obj` to ``NULL`` and
+   :c:data:`PyExc_BufferError`, set ``view->obj`` to ``NULL`` and
    return ``-1``.
 
-   On success, fill in *view*, set :c:member:`view->obj` to a new reference
+   On success, fill in *view*, set ``view->obj`` to a new reference
    to *exporter* and return 0. In the case of chained buffer providers
-   that redirect requests to a single object, :c:member:`view->obj` MAY
+   that redirect requests to a single object, ``view->obj`` MAY
    refer to this object instead of *exporter* (See :ref:`Buffer Object Structures <buffer-structs>`).
 
    Successful calls to :c:func:`PyObject_GetBuffer` must be paired with calls
@@ -455,7 +455,7 @@ Buffer-related functions
 .. c:function:: void PyBuffer_Release(Py_buffer *view)
 
    Release the buffer *view* and decrement the reference count for
-   :c:member:`view->obj`. This function MUST be called when the buffer
+   ``view->obj``. This function MUST be called when the buffer
    is no longer being used, otherwise reference leaks may occur.
 
    It is an error to call this function on a buffer that was not obtained via
@@ -516,9 +516,9 @@ Buffer-related functions
    *view* as specified by flags, unless *buf* has been designated as read-only
    and :c:macro:`PyBUF_WRITABLE` is set in *flags*.
 
-   On success, set :c:member:`view->obj` to a new reference to *exporter* and
+   On success, set ``view->obj`` to a new reference to *exporter* and
    return 0. Otherwise, raise :c:data:`PyExc_BufferError`, set
-   :c:member:`view->obj` to ``NULL`` and return ``-1``;
+   ``view->obj`` to ``NULL`` and return ``-1``;
 
    If this function is used as part of a :ref:`getbufferproc <buffer-structs>`,
    *exporter* MUST be set to the exporting object and *flags* must be passed
diff --git a/Doc/c-api/call.rst b/Doc/c-api/call.rst
index 0832e7e..31dc9c8 100644
--- a/Doc/c-api/call.rst
+++ b/Doc/c-api/call.rst
@@ -84,7 +84,7 @@ This is a pointer to a function with the following signature:
    and they must be unique.
    If there are no keyword arguments, then *kwnames* can instead be *NULL*.
 
-.. c:var:: PY_VECTORCALL_ARGUMENTS_OFFSET
+.. c:macro:: PY_VECTORCALL_ARGUMENTS_OFFSET
 
    If this flag is set in a vectorcall *nargsf* argument, the callee is allowed
    to temporarily change ``args[-1]``. In other words, *args* points to
@@ -283,7 +283,7 @@ please see individual documentation for details.
 
    This is the equivalent of the Python expression: ``callable(*args)``.
 
-   Note that if you only pass :c:type:`PyObject \*` args,
+   Note that if you only pass :c:type:`PyObject *` args,
    :c:func:`PyObject_CallFunctionObjArgs` is a faster alternative.
 
    .. versionchanged:: 3.4
@@ -304,17 +304,17 @@ please see individual documentation for details.
    This is the equivalent of the Python expression:
    ``obj.name(arg1, arg2, ...)``.
 
-   Note that if you only pass :c:type:`PyObject \*` args,
+   Note that if you only pass :c:type:`PyObject *` args,
    :c:func:`PyObject_CallMethodObjArgs` is a faster alternative.
 
    .. versionchanged:: 3.4
       The types of *name* and *format* were changed from ``char *``.
 
 
-.. c:function:: PyObject* PyObject_CallFunctionObjArgs(PyObject *callable, ..., NULL)
+.. c:function:: PyObject* PyObject_CallFunctionObjArgs(PyObject *callable, ...)
 
    Call a callable Python object *callable*, with a variable number of
-   :c:type:`PyObject \*` arguments.  The arguments are provided as a variable number
+   :c:type:`PyObject *` arguments.  The arguments are provided as a variable number
    of parameters followed by *NULL*.
 
    Return the result of the call on success, or raise an exception and return
@@ -324,11 +324,11 @@ please see individual documentation for details.
    ``callable(arg1, arg2, ...)``.
 
 
-.. c:function:: PyObject* PyObject_CallMethodObjArgs(PyObject *obj, PyObject *name, ..., NULL)
+.. c:function:: PyObject* PyObject_CallMethodObjArgs(PyObject *obj, PyObject *name, ...)
 
    Call a method of the Python object *obj*, where the name of the method is given as a
    Python string object in *name*.  It is called with a variable number of
-   :c:type:`PyObject \*` arguments.  The arguments are provided as a variable number
+   :c:type:`PyObject *` arguments.  The arguments are provided as a variable number
    of parameters followed by *NULL*.
 
    Return the result of the call on success, or raise an exception and return
diff --git a/Doc/c-api/capsule.rst b/Doc/c-api/capsule.rst
index 78e2114..5eb313c 100644
--- a/Doc/c-api/capsule.rst
+++ b/Doc/c-api/capsule.rst
@@ -15,7 +15,7 @@ Refer to :ref:`using-capsules` for more information on using these objects.
 .. c:type:: PyCapsule
 
    This subtype of :c:type:`PyObject` represents an opaque value, useful for C
-   extension modules who need to pass an opaque value (as a :c:type:`void\*`
+   extension modules who need to pass an opaque value (as a :c:type:`void*`
    pointer) through Python code to other C code.  It is often used to make a C
    function pointer defined in one module available to other modules, so the
    regular import mechanism can be used to access C APIs defined in dynamically
diff --git a/Doc/c-api/dict.rst b/Doc/c-api/dict.rst
index 7493837..7694841 100644
--- a/Doc/c-api/dict.rst
+++ b/Doc/c-api/dict.rst
@@ -73,7 +73,7 @@ Dictionary Objects
    .. index:: single: PyUnicode_FromString()
 
    Insert *val* into the dictionary *p* using *key* as a key. *key* should
-   be a :c:type:`const char\*`.  The key object is created using
+   be a :c:type:`const char*`.  The key object is created using
    ``PyUnicode_FromString(key)``.  Return ``0`` on success or ``-1`` on
    failure.  This function *does not* steal a reference to *val*.
 
@@ -116,7 +116,7 @@ Dictionary Objects
 .. c:function:: PyObject* PyDict_GetItemString(PyObject *p, const char *key)
 
    This is the same as :c:func:`PyDict_GetItem`, but *key* is specified as a
-   :c:type:`const char\*`, rather than a :c:type:`PyObject\*`.
+   :c:type:`const char*`, rather than a :c:type:`PyObject*`.
 
    Note that exceptions which occur while calling :meth:`__hash__` and
    :meth:`__eq__` methods and creating a temporary string object
@@ -165,7 +165,7 @@ Dictionary Objects
    prior to the first call to this function to start the iteration; the
    function returns true for each pair in the dictionary, and false once all
    pairs have been reported.  The parameters *pkey* and *pvalue* should either
-   point to :c:type:`PyObject\*` variables that will be filled in with each key
+   point to :c:type:`PyObject*` variables that will be filled in with each key
    and value, respectively, or may be ``NULL``.  Any references returned through
    them are borrowed.  *ppos* should not be altered during iteration. Its
    value represents offsets within the internal dictionary structure, and
diff --git a/Doc/c-api/exceptions.rst b/Doc/c-api/exceptions.rst
index b4722ff..247b6d6 100644
--- a/Doc/c-api/exceptions.rst
+++ b/Doc/c-api/exceptions.rst
@@ -783,7 +783,7 @@ Standard Exceptions
 
 All standard Python exceptions are available as global variables whose names are
 ``PyExc_`` followed by the Python exception name.  These have the type
-:c:type:`PyObject\*`; they are all class objects.  For completeness, here are all
+:c:type:`PyObject*`; they are all class objects.  For completeness, here are all
 the variables:
 
 .. index::
@@ -1003,7 +1003,7 @@ Standard Warning Categories
 
 All standard Python warning categories are available as global variables whose
 names are ``PyExc_`` followed by the Python exception name. These have the type
-:c:type:`PyObject\*`; they are all class objects. For completeness, here are all
+:c:type:`PyObject*`; they are all class objects. For completeness, here are all
 the variables:
 
 .. index::
diff --git a/Doc/c-api/file.rst b/Doc/c-api/file.rst
index 5370c4e..ea027ee 100644
--- a/Doc/c-api/file.rst
+++ b/Doc/c-api/file.rst
@@ -8,7 +8,7 @@ File Objects
 .. index:: object: file
 
 These APIs are a minimal emulation of the Python 2 C API for built-in file
-objects, which used to rely on the buffered I/O (:c:type:`FILE\*`) support
+objects, which used to rely on the buffered I/O (:c:type:`FILE*`) support
 from the C standard library.  In Python 3, files and streams use the new
 :mod:`io` module, which defines several layers over the low-level unbuffered
 I/O of the operating system.  The functions described below are
@@ -17,7 +17,7 @@ error reporting in the interpreter; third-party code is advised to access
 the :mod:`io` APIs instead.
 
 
-.. c:function:: PyFile_FromFd(int fd, const char *name, const char *mode, int buffering, const char *encoding, const char *errors, const char *newline, int closefd)
+.. c:function:: PyObject* PyFile_FromFd(int fd, const char *name, const char *mode, int buffering, const char *encoding, const char *errors, const char *newline, int closefd)
 
    Create a Python file object from the file descriptor of an already
    opened file *fd*.  The arguments *name*, *encoding*, *errors* and *newline*
diff --git a/Doc/c-api/init.rst b/Doc/c-api/init.rst
index 68fed2a..7f06648 100644
--- a/Doc/c-api/init.rst
+++ b/Doc/c-api/init.rst
@@ -81,7 +81,7 @@ When a flag is set by an option, the value of the flag is the number of times
 that the option was set. For example, ``-b`` sets :c:data:`Py_BytesWarningFlag`
 to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
 
-.. c:var:: Py_BytesWarningFlag
+.. c:var:: int Py_BytesWarningFlag
 
    Issue a warning when comparing :class:`bytes` or :class:`bytearray` with
    :class:`str` or :class:`bytes` with :class:`int`.  Issue an error if greater
@@ -89,7 +89,7 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
 
    Set by the :option:`-b` option.
 
-.. c:var:: Py_DebugFlag
+.. c:var:: int Py_DebugFlag
 
    Turn on parser debugging output (for expert only, depending on compilation
    options).
@@ -97,7 +97,7 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
    Set by the :option:`-d` option and the :envvar:`PYTHONDEBUG` environment
    variable.
 
-.. c:var:: Py_DontWriteBytecodeFlag
+.. c:var:: int Py_DontWriteBytecodeFlag
 
    If set to non-zero, Python won't try to write ``.pyc`` files on the
    import of source modules.
@@ -105,14 +105,14 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
    Set by the :option:`-B` option and the :envvar:`PYTHONDONTWRITEBYTECODE`
    environment variable.
 
-.. c:var:: Py_FrozenFlag
+.. c:var:: int Py_FrozenFlag
 
    Suppress error messages when calculating the module search path in
    :c:func:`Py_GetPath`.
 
    Private flag used by ``_freeze_importlib`` and ``frozenmain`` programs.
 
-.. c:var:: Py_HashRandomizationFlag
+.. c:var:: int Py_HashRandomizationFlag
 
    Set to ``1`` if the :envvar:`PYTHONHASHSEED` environment variable is set to
    a non-empty string.
@@ -120,14 +120,14 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
    If the flag is non-zero, read the :envvar:`PYTHONHASHSEED` environment
    variable to initialize the secret hash seed.
 
-.. c:var:: Py_IgnoreEnvironmentFlag
+.. c:var:: int Py_IgnoreEnvironmentFlag
 
    Ignore all :envvar:`PYTHON*` environment variables, e.g.
    :envvar:`PYTHONPATH` and :envvar:`PYTHONHOME`, that might be set.
 
    Set by the :option:`-E` and :option:`-I` options.
 
-.. c:var:: Py_InspectFlag
+.. c:var:: int Py_InspectFlag
 
    When a script is passed as first argument or the :option:`-c` option is used,
    enter interactive mode after executing the script or the command, even when
@@ -136,11 +136,11 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
    Set by the :option:`-i` option and the :envvar:`PYTHONINSPECT` environment
    variable.
 
-.. c:var:: Py_InteractiveFlag
+.. c:var:: int Py_InteractiveFlag
 
    Set by the :option:`-i` option.
 
-.. c:var:: Py_IsolatedFlag
+.. c:var:: int Py_IsolatedFlag
 
    Run Python in isolated mode. In isolated mode :data:`sys.path` contains
    neither the script's directory nor the user's site-packages directory.
@@ -149,7 +149,7 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
 
    .. versionadded:: 3.4
 
-.. c:var:: Py_LegacyWindowsFSEncodingFlag
+.. c:var:: int Py_LegacyWindowsFSEncodingFlag
 
    If the flag is non-zero, use the ``mbcs`` encoding instead of the UTF-8
    encoding for the filesystem encoding.
@@ -161,7 +161,7 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
 
    .. availability:: Windows.
 
-.. c:var:: Py_LegacyWindowsStdioFlag
+.. c:var:: int Py_LegacyWindowsStdioFlag
 
    If the flag is non-zero, use :class:`io.FileIO` instead of
    :class:`WindowsConsoleIO` for :mod:`sys` standard streams.
@@ -173,7 +173,7 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
 
    .. availability:: Windows.
 
-.. c:var:: Py_NoSiteFlag
+.. c:var:: int Py_NoSiteFlag
 
    Disable the import of the module :mod:`site` and the site-dependent
    manipulations of :data:`sys.path` that it entails.  Also disable these
@@ -182,7 +182,7 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
 
    Set by the :option:`-S` option.
 
-.. c:var:: Py_NoUserSiteDirectory
+.. c:var:: int Py_NoUserSiteDirectory
 
    Don't add the :data:`user site-packages directory <site.USER_SITE>` to
    :data:`sys.path`.
@@ -190,12 +190,12 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
    Set by the :option:`-s` and :option:`-I` options, and the
    :envvar:`PYTHONNOUSERSITE` environment variable.
 
-.. c:var:: Py_OptimizeFlag
+.. c:var:: int Py_OptimizeFlag
 
    Set by the :option:`-O` option and the :envvar:`PYTHONOPTIMIZE` environment
    variable.
 
-.. c:var:: Py_QuietFlag
+.. c:var:: int Py_QuietFlag
 
    Don't display the copyright and version messages even in interactive mode.
 
@@ -203,14 +203,14 @@ to 1 and ``-bb`` sets :c:data:`Py_BytesWarningFlag` to 2.
 
    .. versionadded:: 3.2
 
-.. c:var:: Py_UnbufferedStdioFlag
+.. c:var:: int Py_UnbufferedStdioFlag
 
    Force the stdout and stderr streams to be unbuffered.
 
    Set by the :option:`-u` option and the :envvar:`PYTHONUNBUFFERED`
    environment variable.
 
-.. c:var:: Py_VerboseFlag
+.. c:var:: int Py_VerboseFlag
 
    Print a message each time a module is initialized, showing the place
    (filename or built-in module) from which it is loaded.  If greater or equal
@@ -830,7 +830,7 @@ code, or when embedding the Python interpreter:
 .. c:type:: PyThreadState
 
    This data structure represents the state of a single thread.  The only public
-   data member is :c:type:`PyInterpreterState \*`:attr:`interp`, which points to
+   data member is :attr:`interp` (:c:type:`PyInterpreterState *`), which points to
    this thread's interpreter state.
 
 
@@ -1619,7 +1619,7 @@ The Python interpreter provides low-level support for thread-local storage
 (TLS) which wraps the underlying native TLS implementation to support the
 Python-level thread local storage API (:class:`threading.local`).  The
 CPython C level APIs are similar to those offered by pthreads and Windows:
-use a thread key and functions to associate a :c:type:`void\*` value per
+use a thread key and functions to associate a :c:type:`void*` value per
 thread.
 
 The GIL does *not* need to be held when calling these functions; they supply
@@ -1630,8 +1630,8 @@ you need to include :file:`pythread.h` to use thread-local storage.
 
 .. note::
    None of these API functions handle memory management on behalf of the
-   :c:type:`void\*` values.  You need to allocate and deallocate them yourself.
-   If the :c:type:`void\*` values happen to be :c:type:`PyObject\*`, these
+   :c:type:`void*` values.  You need to allocate and deallocate them yourself.
+   If the :c:type:`void*` values happen to be :c:type:`PyObject*`, these
    functions don't do refcount operations on them either.
 
 .. _thread-specific-storage-api:
@@ -1727,14 +1727,14 @@ undefined if the given :c:type:`Py_tss_t` has not been initialized by
 
 .. c:function:: int PyThread_tss_set(Py_tss_t *key, void *value)
 
-   Return a zero value to indicate successfully associating a :c:type:`void\*`
+   Return a zero value to indicate successfully associating a :c:type:`void*`
    value with a TSS key in the current thread.  Each thread has a distinct
-   mapping of the key to a :c:type:`void\*` value.
+   mapping of the key to a :c:type:`void*` value.
 
 
 .. c:function:: void* PyThread_tss_get(Py_tss_t *key)
 
-   Return the :c:type:`void\*` value associated with a TSS key in the current
+   Return the :c:type:`void*` value associated with a TSS key in the current
    thread.  This returns ``NULL`` if no value is associated with the key in the
    current thread.
 
diff --git a/Doc/c-api/intro.rst b/Doc/c-api/intro.rst
index e89a788..7ca8693 100644
--- a/Doc/c-api/intro.rst
+++ b/Doc/c-api/intro.rst
@@ -229,13 +229,13 @@ Objects, Types and Reference Counts
 .. index:: object: type
 
 Most Python/C API functions have one or more arguments as well as a return value
-of type :c:type:`PyObject\*`.  This type is a pointer to an opaque data type
+of type :c:type:`PyObject*`.  This type is a pointer to an opaque data type
 representing an arbitrary Python object.  Since all Python object types are
 treated the same way by the Python language in most situations (e.g.,
 assignments, scope rules, and argument passing), it is only fitting that they
 should be represented by a single C type.  Almost all Python objects live on the
 heap: you never declare an automatic or static variable of type
-:c:type:`PyObject`, only pointer variables of type :c:type:`PyObject\*` can  be
+:c:type:`PyObject`, only pointer variables of type :c:type:`PyObject*` can  be
 declared.  The sole exception are the type objects; since these must never be
 deallocated, they are typically static :c:type:`PyTypeObject` objects.
 
@@ -496,7 +496,7 @@ Types
 
 There are few other data types that play a significant role in  the Python/C
 API; most are simple C types such as :c:type:`int`,  :c:type:`long`,
-:c:type:`double` and :c:type:`char\*`.  A few structure types  are used to
+:c:type:`double` and :c:type:`char*`.  A few structure types  are used to
 describe static tables used to list the functions exported  by a module or the
 data attributes of a new object type, and another is used to describe the value
 of a complex number.  These will  be discussed together with the functions that
diff --git a/Doc/c-api/marshal.rst b/Doc/c-api/marshal.rst
index 7b179e2..7bb0dad 100644
--- a/Doc/c-api/marshal.rst
+++ b/Doc/c-api/marshal.rst
@@ -43,7 +43,7 @@ The following functions allow marshalled values to be read back in.
 
 .. c:function:: long PyMarshal_ReadLongFromFile(FILE *file)
 
-   Return a C :c:type:`long` from the data stream in a :c:type:`FILE\*` opened
+   Return a C :c:type:`long` from the data stream in a :c:type:`FILE*` opened
    for reading.  Only a 32-bit value can be read in using this function,
    regardless of the native size of :c:type:`long`.
 
@@ -53,7 +53,7 @@ The following functions allow marshalled values to be read back in.
 
 .. c:function:: int PyMarshal_ReadShortFromFile(FILE *file)
 
-   Return a C :c:type:`short` from the data stream in a :c:type:`FILE\*` opened
+   Return a C :c:type:`short` from the data stream in a :c:type:`FILE*` opened
    for reading.  Only a 16-bit value can be read in using this function,
    regardless of the native size of :c:type:`short`.
 
@@ -63,7 +63,7 @@ The following functions allow marshalled values to be read back in.
 
 .. c:function:: PyObject* PyMarshal_ReadObjectFromFile(FILE *file)
 
-   Return a Python object from the data stream in a :c:type:`FILE\*` opened for
+   Return a Python object from the data stream in a :c:type:`FILE*` opened for
    reading.
 
    On error, sets the appropriate exception (:exc:`EOFError`, :exc:`ValueError`
@@ -72,7 +72,7 @@ The following functions allow marshalled values to be read back in.
 
 .. c:function:: PyObject* PyMarshal_ReadLastObjectFromFile(FILE *file)
 
-   Return a Python object from the data stream in a :c:type:`FILE\*` opened for
+   Return a Python object from the data stream in a :c:type:`FILE*` opened for
    reading.  Unlike :c:func:`PyMarshal_ReadObjectFromFile`, this function
    assumes that no further objects will be read from the file, allowing it to
    aggressively load file data into memory so that the de-serialization can
diff --git a/Doc/c-api/memory.rst b/Doc/c-api/memory.rst
index 8a8542f..87425bc 100644
--- a/Doc/c-api/memory.rst
+++ b/Doc/c-api/memory.rst
@@ -109,7 +109,7 @@ zero bytes.
 
 .. c:function:: void* PyMem_RawMalloc(size_t n)
 
-   Allocates *n* bytes and returns a pointer of type :c:type:`void\*` to the
+   Allocates *n* bytes and returns a pointer of type :c:type:`void*` to the
    allocated memory, or ``NULL`` if the request fails.
 
    Requesting zero bytes returns a distinct non-``NULL`` pointer if possible, as
@@ -120,7 +120,7 @@ zero bytes.
 .. c:function:: void* PyMem_RawCalloc(size_t nelem, size_t elsize)
 
    Allocates *nelem* elements each whose size in bytes is *elsize* and returns
-   a pointer of type :c:type:`void\*` to the allocated memory, or ``NULL`` if the
+   a pointer of type :c:type:`void*` to the allocated memory, or ``NULL`` if the
    request fails. The memory is initialized to zeros.
 
    Requesting zero elements or elements of size zero bytes returns a distinct
@@ -180,7 +180,7 @@ The :ref:`default memory allocator <default-memory-allocators>` uses the
 
 .. c:function:: void* PyMem_Malloc(size_t n)
 
-   Allocates *n* bytes and returns a pointer of type :c:type:`void\*` to the
+   Allocates *n* bytes and returns a pointer of type :c:type:`void*` to the
    allocated memory, or ``NULL`` if the request fails.
 
    Requesting zero bytes returns a distinct non-``NULL`` pointer if possible, as
@@ -191,7 +191,7 @@ The :ref:`default memory allocator <default-memory-allocators>` uses the
 .. c:function:: void* PyMem_Calloc(size_t nelem, size_t elsize)
 
    Allocates *nelem* elements each whose size in bytes is *elsize* and returns
-   a pointer of type :c:type:`void\*` to the allocated memory, or ``NULL`` if the
+   a pointer of type :c:type:`void*` to the allocated memory, or ``NULL`` if the
    request fails. The memory is initialized to zeros.
 
    Requesting zero elements or elements of size zero bytes returns a distinct
@@ -233,14 +233,14 @@ The following type-oriented macros are provided for convenience.  Note  that
 .. c:function:: TYPE* PyMem_New(TYPE, size_t n)
 
    Same as :c:func:`PyMem_Malloc`, but allocates ``(n * sizeof(TYPE))`` bytes of
-   memory.  Returns a pointer cast to :c:type:`TYPE\*`.  The memory will not have
+   memory.  Returns a pointer cast to :c:type:`TYPE*`.  The memory will not have
    been initialized in any way.
 
 
 .. c:function:: TYPE* PyMem_Resize(void *p, TYPE, size_t n)
 
    Same as :c:func:`PyMem_Realloc`, but the memory block is resized to ``(n *
-   sizeof(TYPE))`` bytes.  Returns a pointer cast to :c:type:`TYPE\*`. On return,
+   sizeof(TYPE))`` bytes.  Returns a pointer cast to :c:type:`TYPE*`. On return,
    *p* will be a pointer to the new memory area, or ``NULL`` in the event of
    failure.
 
@@ -282,7 +282,7 @@ The :ref:`default object allocator <default-memory-allocators>` uses the
 
 .. c:function:: void* PyObject_Malloc(size_t n)
 
-   Allocates *n* bytes and returns a pointer of type :c:type:`void\*` to the
+   Allocates *n* bytes and returns a pointer of type :c:type:`void*` to the
    allocated memory, or ``NULL`` if the request fails.
 
    Requesting zero bytes returns a distinct non-``NULL`` pointer if possible, as
@@ -293,7 +293,7 @@ The :ref:`default object allocator <default-memory-allocators>` uses the
 .. c:function:: void* PyObject_Calloc(size_t nelem, size_t elsize)
 
    Allocates *nelem* elements each whose size in bytes is *elsize* and returns
-   a pointer of type :c:type:`void\*` to the allocated memory, or ``NULL`` if the
+   a pointer of type :c:type:`void*` to the allocated memory, or ``NULL`` if the
    request fails. The memory is initialized to zeros.
 
    Requesting zero elements or elements of size zero bytes returns a distinct
@@ -388,7 +388,7 @@ Customize Memory Allocators
 
    Enum used to identify an allocator domain. Domains:
 
-   .. c:var:: PYMEM_DOMAIN_RAW
+   .. c:macro:: PYMEM_DOMAIN_RAW
 
       Functions:
 
@@ -397,7 +397,7 @@ Customize Memory Allocators
       * :c:func:`PyMem_RawCalloc`
       * :c:func:`PyMem_RawFree`
 
-   .. c:var:: PYMEM_DOMAIN_MEM
+   .. c:macro:: PYMEM_DOMAIN_MEM
 
       Functions:
 
@@ -406,7 +406,7 @@ Customize Memory Allocators
       * :c:func:`PyMem_Calloc`
       * :c:func:`PyMem_Free`
 
-   .. c:var:: PYMEM_DOMAIN_OBJ
+   .. c:macro:: PYMEM_DOMAIN_OBJ
 
       Functions:
 
@@ -519,11 +519,11 @@ Customize pymalloc Arena Allocator
    | ``void free(void *ctx, size_t size, void *ptr)`` | free an arena                         |
    +--------------------------------------------------+---------------------------------------+
 
-.. c:function:: PyObject_GetArenaAllocator(PyObjectArenaAllocator *allocator)
+.. c:function:: void PyObject_GetArenaAllocator(PyObjectArenaAllocator *allocator)
 
    Get the arena allocator.
 
-.. c:function:: PyObject_SetArenaAllocator(PyObjectArenaAllocator *allocator)
+.. c:function:: void PyObject_SetArenaAllocator(PyObjectArenaAllocator *allocator)
 
    Set the arena allocator.
 
diff --git a/Doc/c-api/module.rst b/Doc/c-api/module.rst
index 8a415df..6e9474b 100644
--- a/Doc/c-api/module.rst
+++ b/Doc/c-api/module.rst
@@ -325,7 +325,7 @@ The *m_slots* array must be terminated by a slot with id 0.
 
 The available slot types are:
 
-.. c:var:: Py_mod_create
+.. c:macro:: Py_mod_create
 
    Specifies a function that is called to create the module object itself.
    The *value* pointer of this slot must point to a function of the signature:
@@ -357,7 +357,7 @@ The available slot types are:
    ``PyModuleDef`` has non-``NULL`` ``m_traverse``, ``m_clear``,
    ``m_free``; non-zero ``m_size``; or slots other than ``Py_mod_create``.
 
-.. c:var:: Py_mod_exec
+.. c:macro:: Py_mod_exec
 
    Specifies a function that is called to *execute* the module.
    This is equivalent to executing the code of a Python module: typically,
diff --git a/Doc/c-api/object.rst b/Doc/c-api/object.rst
index b9c137e..a387b4a 100644
--- a/Doc/c-api/object.rst
+++ b/Doc/c-api/object.rst
@@ -291,7 +291,7 @@ Object Protocol
    is equivalent to the Python expression ``type(o)``. This function increments the
    reference count of the return value. There's really no reason to use this
    function instead of the common expression ``o->ob_type``, which returns a
-   pointer of type :c:type:`PyTypeObject\*`, except when the incremented reference
+   pointer of type :c:type:`PyTypeObject*`, except when the incremented reference
    count is needed.
 
 
diff --git a/Doc/c-api/structures.rst b/Doc/c-api/structures.rst
index b2392fa..a9e1c6f 100644
--- a/Doc/c-api/structures.rst
+++ b/Doc/c-api/structures.rst
@@ -145,7 +145,7 @@ Implementing functions and methods
 .. c:type:: PyCFunction
 
    Type of the functions used to implement most Python callables in C.
-   Functions of this type take two :c:type:`PyObject\*` parameters and return
+   Functions of this type take two :c:type:`PyObject*` parameters and return
    one such value.  If the return value is ``NULL``, an exception shall have
    been set.  If not ``NULL``, the return value is interpreted as the return
    value of the function as exposed in Python.  The function must return a new
@@ -224,10 +224,10 @@ Implementing functions and methods
    +------------------+---------------+-------------------------------+
 
 The :attr:`ml_meth` is a C function pointer.  The functions may be of different
-types, but they always return :c:type:`PyObject\*`.  If the function is not of
+types, but they always return :c:type:`PyObject*`.  If the function is not of
 the :c:type:`PyCFunction`, the compiler will require a cast in the method table.
 Even though :c:type:`PyCFunction` defines the first parameter as
-:c:type:`PyObject\*`, it is common that the method implementation uses the
+:c:type:`PyObject*`, it is common that the method implementation uses the
 specific C type of the *self* object.
 
 The :attr:`ml_flags` field is a bitfield which can include the following flags.
@@ -239,7 +239,7 @@ There are these calling conventions:
 .. data:: METH_VARARGS
 
    This is the typical calling convention, where the methods have the type
-   :c:type:`PyCFunction`. The function expects two :c:type:`PyObject\*` values.
+   :c:type:`PyCFunction`. The function expects two :c:type:`PyObject*` values.
    The first one is the *self* object for methods; for module functions, it is
    the module object.  The second parameter (often called *args*) is a tuple
    object representing all arguments. This parameter is typically processed
@@ -260,7 +260,7 @@ There are these calling conventions:
    Fast calling convention supporting only positional arguments.
    The methods have the type :c:type:`_PyCFunctionFast`.
    The first parameter is *self*, the second parameter is a C array
-   of :c:type:`PyObject\*` values indicating the arguments and the third
+   of :c:type:`PyObject*` values indicating the arguments and the third
    parameter is the number of arguments (the length of the array).
 
    This is not part of the :ref:`limited API <stable>`.
@@ -274,7 +274,7 @@ There are these calling conventions:
    with methods of type :c:type:`_PyCFunctionFastWithKeywords`.
    Keyword arguments are passed the same way as in the
    :ref:`vectorcall protocol <vectorcall>`:
-   there is an additional fourth :c:type:`PyObject\*` parameter
+   there is an additional fourth :c:type:`PyObject*` parameter
    which is a tuple representing the names of the keyword arguments
    (which are guaranteed to be strings)
    or possibly ``NULL`` if there are no keywords.  The values of the keyword
@@ -312,7 +312,7 @@ There are these calling conventions:
    Methods with a single object argument can be listed with the :const:`METH_O`
    flag, instead of invoking :c:func:`PyArg_ParseTuple` with a ``"O"`` argument.
    They have the type :c:type:`PyCFunction`, with the *self* parameter, and a
-   :c:type:`PyObject\*` parameter representing the single argument.
+   :c:type:`PyObject*` parameter representing the single argument.
 
 
 These two constants are not used to indicate the calling convention but the
@@ -463,7 +463,7 @@ Accessing attributes of extension types
    |             |                  | getter and setter                 |
    +-------------+------------------+-----------------------------------+
 
-   The ``get`` function takes one :c:type:`PyObject\*` parameter (the
+   The ``get`` function takes one :c:type:`PyObject*` parameter (the
    instance) and a function pointer (the associated ``closure``)::
 
       typedef PyObject *(*getter)(PyObject *, void *);
@@ -471,7 +471,7 @@ Accessing attributes of extension types
    It should return a new reference on success or ``NULL`` with a set exception
    on failure.
 
-   ``set`` functions take two :c:type:`PyObject\*` parameters (the instance and
+   ``set`` functions take two :c:type:`PyObject*` parameters (the instance and
    the value to be set) and a function pointer (the associated ``closure``)::
 
       typedef int (*setter)(PyObject *, PyObject *, void *);
diff --git a/Doc/c-api/tuple.rst b/Doc/c-api/tuple.rst
index c14cb2d..bf751e44 100644
--- a/Doc/c-api/tuple.rst
+++ b/Doc/c-api/tuple.rst
@@ -161,7 +161,7 @@ type.
 .. c:type:: PyStructSequence_Field
 
    Describes a field of a struct sequence. As a struct sequence is modeled as a
-   tuple, all fields are typed as :c:type:`PyObject\*`.  The index in the
+   tuple, all fields are typed as :c:type:`PyObject*`.  The index in the
    :attr:`fields` array of the :c:type:`PyStructSequence_Desc` determines which
    field of the struct sequence is described.
 
diff --git a/Doc/c-api/typeobj.rst b/Doc/c-api/typeobj.rst
index 385c7f9..ddcb8ae 100644
--- a/Doc/c-api/typeobj.rst
+++ b/Doc/c-api/typeobj.rst
@@ -1348,7 +1348,7 @@ and :c:type:`PyType_Type` effectively act as defaults.)
 
    The following macro is defined to ease writing rich comparison functions:
 
-   .. c:function:: PyObject \*Py_RETURN_RICHCOMPARE(VAL_A, VAL_B, int op)
+   .. c:macro:: Py_RETURN_RICHCOMPARE(VAL_A, VAL_B, op)
 
       Return ``Py_True`` or ``Py_False`` from the function, depending on the
       result of a comparison.
@@ -1386,7 +1386,7 @@ and :c:type:`PyType_Type` effectively act as defaults.)
    than zero and contains the offset in the instance structure of the weak
    reference list head (ignoring the GC header, if present); this offset is used by
    :c:func:`PyObject_ClearWeakRefs` and the :c:func:`PyWeakref_\*` functions.  The
-   instance structure needs to include a field of type :c:type:`PyObject\*` which is
+   instance structure needs to include a field of type :c:type:`PyObject*` which is
    initialized to ``NULL``.
 
    Do not confuse this field with :c:member:`~PyTypeObject.tp_weaklist`; that is the list head for
diff --git a/Doc/c-api/unicode.rst b/Doc/c-api/unicode.rst
index 577cdf2..5518214 100644
--- a/Doc/c-api/unicode.rst
+++ b/Doc/c-api/unicode.rst
@@ -199,7 +199,7 @@ access internal read-only data of Unicode objects:
    .. versionadded:: 3.3
 
 
-.. c:function:: PyUnicode_MAX_CHAR_VALUE(PyObject *o)
+.. c:macro:: PyUnicode_MAX_CHAR_VALUE(o)
 
    Return the maximum code point that is suitable for creating another string
    based on *o*, which must be in the "canonical" representation.  This is
diff --git a/Doc/c-api/veryhigh.rst b/Doc/c-api/veryhigh.rst
index d6aecc3..b908cb8 100644
--- a/Doc/c-api/veryhigh.rst
+++ b/Doc/c-api/veryhigh.rst
@@ -16,11 +16,11 @@ parameter.  The available start symbols are :const:`Py_eval_input`,
 :const:`Py_file_input`, and :const:`Py_single_input`.  These are described
 following the functions which accept them as parameters.
 
-Note also that several of these functions take :c:type:`FILE\*` parameters.  One
+Note also that several of these functions take :c:type:`FILE*` parameters.  One
 particular issue which needs to be handled carefully is that the :c:type:`FILE`
 structure for different C libraries can be different and incompatible.  Under
 Windows (at least), it is possible for dynamically linked extensions to actually
-use different libraries, so care should be taken that :c:type:`FILE\*` parameters
+use different libraries, so care should be taken that :c:type:`FILE*` parameters
 are only passed to these functions if it is certain that they were created by
 the same library that the Python runtime is using.