- Issue #10181: New memoryview implementation fixes multiple ownership
  and lifetime issues of dynamically allocated Py_buffer members (#9990)
  as well as crashes (#8305, #7433). Many new features have been added
  (See whatsnew/3.3), and the documentation has been updated extensively.
  The ndarray test object from _testbuffer.c implements all aspects of
  PEP-3118, so further development towards the complete implementation
  of the PEP can proceed in a test-driven manner.

  Thanks to Nick Coghlan, Antoine Pitrou and Pauli Virtanen for review
  and many ideas.

- Issue #12834: Fix incorrect results of memoryview.tobytes() for
  non-contiguous arrays.

- Issue #5231: Introduce memoryview.cast() method that allows changing
  format and shape without making a copy of the underlying memory.
diff --git a/Doc/c-api/buffer.rst b/Doc/c-api/buffer.rst
index d98ece3..2d19992 100644
--- a/Doc/c-api/buffer.rst
+++ b/Doc/c-api/buffer.rst
@@ -7,6 +7,7 @@
 
 .. sectionauthor:: Greg Stein <gstein@lyra.org>
 .. sectionauthor:: Benjamin Peterson
+.. sectionauthor:: Stefan Krah
 
 
 .. index::
@@ -20,7 +21,7 @@
 
 While each of these types have their own semantics, they share the common
 characteristic of being backed by a possibly large memory buffer.  It is
-then desireable, in some situations, to access that buffer directly and
+then desirable, in some situations, to access that buffer directly and
 without intermediate copying.
 
 Python provides such a facility at the C level in the form of the *buffer
@@ -60,8 +61,10 @@
 resource leaks.
 
 
-The buffer structure
-====================
+.. _buffer-structure:
+
+Buffer structure
+================
 
 Buffer structures (or simply "buffers") are useful as a way to expose the
 binary data from another object to the Python programmer.  They can also be
@@ -81,93 +84,330 @@
 
 .. c:type:: Py_buffer
 
-   .. c:member:: void *buf
+   .. c:member:: void \*obj
 
-      A pointer to the start of the memory for the object.
+      A new reference to the exporting object or *NULL*. The reference is owned
+      by the consumer and automatically decremented and set to *NULL* by
+      :c:func:`PyBuffer_Release`.
+
+      For temporary buffers that are wrapped by :c:func:`PyMemoryView_FromBuffer`
+      this field must be *NULL*.
+
+   .. 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
+      block of the exporter. For example, with negative :c:member:`~Py_buffer.strides`
+      the value may point to the end of the memory block.
+
+      For contiguous arrays, the value points to the beginning of the memory
+      block.
 
    .. c:member:: Py_ssize_t len
-      :noindex:
 
-      The total length of the memory in bytes.
+      ``product(shape) * itemsize``. For contiguous arrays, this is the length
+      of the underlying memory block. For non-contiguous arrays, it is the length
+      that the logical structure would have if it were copied to a contiguous
+      representation.
+
+      Accessing ``((char *)buf)[0] up to ((char *)buf)[len-1]`` is only valid
+      if the buffer has been obtained by a request that guarantees contiguity. In
+      most cases such a request will be :c:macro:`PyBUF_SIMPLE` or :c:macro:`PyBUF_WRITABLE`.
 
    .. c:member:: int readonly
 
-      An indicator of whether the buffer is read only.
-
-   .. c:member:: const char *format
-      :noindex:
-
-      A *NULL* terminated string in :mod:`struct` module style syntax giving
-      the contents of the elements available through the buffer.  If this is
-      *NULL*, ``"B"`` (unsigned bytes) is assumed.
-
-   .. c:member:: int ndim
-
-      The number of dimensions the memory represents as a multi-dimensional
-      array.  If it is 0, :c:data:`strides` and :c:data:`suboffsets` must be
-      *NULL*.
-
-   .. c:member:: Py_ssize_t *shape
-
-      An array of :c:type:`Py_ssize_t`\s the length of :c:data:`ndim` giving the
-      shape of the memory as a multi-dimensional array.  Note that
-      ``((*shape)[0] * ... * (*shape)[ndims-1])*itemsize`` should be equal to
-      :c:data:`len`.
-
-   .. c:member:: Py_ssize_t *strides
-
-      An array of :c:type:`Py_ssize_t`\s the length of :c:data:`ndim` giving the
-      number of bytes to skip to get to a new element in each dimension.
-
-   .. c:member:: Py_ssize_t *suboffsets
-
-      An array of :c:type:`Py_ssize_t`\s the length of :c:data:`ndim`.  If these
-      suboffset numbers are greater than or equal to 0, then the value stored
-      along the indicated dimension is a pointer and the suboffset value
-      dictates how many bytes to add to the pointer after de-referencing. A
-      suboffset value that it negative indicates that no de-referencing should
-      occur (striding in a contiguous memory block).
-
-      Here is a function that returns a pointer to the element in an N-D array
-      pointed to by an N-dimensional index when there are both non-NULL strides
-      and suboffsets::
-
-          void *get_item_pointer(int ndim, void *buf, Py_ssize_t *strides,
-              Py_ssize_t *suboffsets, Py_ssize_t *indices) {
-              char *pointer = (char*)buf;
-              int i;
-              for (i = 0; i < ndim; i++) {
-                  pointer += strides[i] * indices[i];
-                  if (suboffsets[i] >=0 ) {
-                      pointer = *((char**)pointer) + suboffsets[i];
-                  }
-              }
-              return (void*)pointer;
-           }
-
+      An indicator of whether the buffer is read-only. This field is controlled
+      by the :c:macro:`PyBUF_WRITABLE` flag.
 
    .. c:member:: Py_ssize_t itemsize
 
-      This is a storage for the itemsize (in bytes) of each element of the
-      shared memory. It is technically un-necessary as it can be obtained
-      using :c:func:`PyBuffer_SizeFromFormat`, however an exporter may know
-      this information without parsing the format string and it is necessary
-      to know the itemsize for proper interpretation of striding. Therefore,
-      storing it is more convenient and faster.
+      Item size in bytes of a single element. Same as the value of :func:`struct.calcsize`
+      called on non-NULL :c:member:`~Py_buffer.format` values.
 
-   .. c:member:: void *internal
+      Important exception: If a consumer requests a buffer without the
+      :c:macro:`PyBUF_FORMAT` flag, :c:member:`~Py_Buffer.format` will
+      be set to  *NULL*,  but :c:member:`~Py_buffer.itemsize` still has
+      the value for the original format.
+
+      If :c:member:`~Py_Buffer.shape` is present, the equality
+      ``product(shape) * itemsize == len`` still holds and the consumer
+      can use :c:member:`~Py_buffer.itemsize` to navigate the buffer.
+
+      If :c:member:`~Py_Buffer.shape` is *NULL* as a result of a :c:macro:`PyBUF_SIMPLE`
+      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
+
+      A *NUL* terminated string in :mod:`struct` module style syntax describing
+      the contents of a single item. If this is *NULL*, ``"B"`` (unsigned bytes)
+      is assumed.
+
+      This field is controlled by the :c:macro:`PyBUF_FORMAT` flag.
+
+   .. c:member:: int ndim
+
+      The number of dimensions the memory represents as an n-dimensional array.
+      If it is 0, :c:member:`~Py_Buffer.buf` points to a single item representing
+      a scalar. In this case, :c:member:`~Py_buffer.shape`, :c:member:`~Py_buffer.strides`
+      and :c:member:`~Py_buffer.suboffsets` MUST be *NULL*.
+
+      The macro :c:macro:`PyBUF_MAX_NDIM` limits the maximum number of dimensions
+      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
+
+      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
+      ``shape[0] * ... * shape[ndim-1] * itemsize`` MUST be equal to
+      :c:member:`~Py_buffer.len`.
+
+      Shape values are restricted to ``shape[n] >= 0``. The case
+      ``shape[n] == 0`` requires special attention. See `complex arrays`_
+      for further information.
+
+      The shape array is read-only for the consumer.
+
+   .. 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
+      dimension.
+
+      Stride values can be any integer. For regular arrays, strides are
+      usually positive, but a consumer MUST be able to handle the case
+      ``strides[n] <= 0``. See `complex arrays`_ for further information.
+
+      The strides array is read-only for the consumer.
+
+   .. 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
+      pointers and the suboffset value dictates how many bytes to add to each
+      pointer after de-referencing. A suboffset value that is negative
+      indicates that no de-referencing should occur (striding in a contiguous
+      memory block).
+
+      This type of array representation is used by the Python Imaging Library
+      (PIL). See `complex arrays`_ for further information how to access elements
+      of such an array.
+
+      The suboffsets array is read-only for the consumer.
+
+   .. 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
       about whether or not the shape, strides, and suboffsets arrays must be
-      freed when the buffer is released. The consumer should never alter this
+      freed when the buffer is released. The consumer MUST NOT alter this
       value.
 
+.. _buffer-request-types:
+
+Buffer request types
+====================
+
+Buffers are usually obtained by sending a buffer request to an exporting
+object via :c:func:`PyObject_GetBuffer`. Since the complexity of the logical
+structure of the memory can vary drastically, the consumer uses the *flags*
+argument to specify the exact buffer type it can handle.
+
+All :c:data:`Py_buffer` fields are unambiguously defined by the request
+type.
+
+request-independent fields
+~~~~~~~~~~~~~~~~~~~~~~~~~~
+The following fields are not influenced by *flags* and must always be filled in
+with the correct values: :c:member:`~Py_buffer.obj`, :c:member:`~Py_buffer.buf`,
+:c:member:`~Py_buffer.len`, :c:member:`~Py_buffer.itemsize`, :c:member:`~Py_buffer.ndim`.
+
+
+readonly, format
+~~~~~~~~~~~~~~~~
+
+   .. c:macro:: PyBUF_WRITABLE
+
+      Controls the :c:member:`~Py_buffer.readonly` field. If set, the exporter
+      MUST provide a writable buffer or else report failure. Otherwise, the
+      exporter MAY provide either a read-only or writable buffer, but the choice
+      MUST be consistent for all consumers.
+
+   .. c:macro:: PyBUF_FORMAT
+
+      Controls the :c:member:`~Py_buffer.format` field. If set, this field MUST
+      be filled in correctly. Otherwise, this field MUST be *NULL*.
+
+
+:c:macro:`PyBUF_WRITABLE` can be \|'d to any of the flags in the next section.
+Since :c:macro:`PyBUF_SIMPLE` is defined as 0, :c:macro:`PyBUF_WRITABLE`
+can be used as a stand-alone flag to request a simple writable buffer.
+
+:c:macro:`PyBUF_FORMAT` can be \|'d to any of the flags except :c:macro:`PyBUF_SIMPLE`.
+The latter already implies format ``B`` (unsigned bytes).
+
+
+shape, strides, suboffsets
+~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+The flags that control the logical structure of the memory are listed
+in decreasing order of complexity. Note that each flag contains all bits
+of the flags below it.
+
+
++-----------------------------+-------+---------+------------+
+|  Request                    | shape | strides | suboffsets |
++=============================+=======+=========+============+
+| .. c:macro:: PyBUF_INDIRECT |  yes  |   yes   | if needed  |
++-----------------------------+-------+---------+------------+
+| .. c:macro:: PyBUF_STRIDES  |  yes  |   yes   |    NULL    |
++-----------------------------+-------+---------+------------+
+| .. c:macro:: PyBUF_ND       |  yes  |   NULL  |    NULL    |
++-----------------------------+-------+---------+------------+
+| .. c:macro:: PyBUF_SIMPLE   |  NULL |   NULL  |    NULL    |
++-----------------------------+-------+---------+------------+
+
+
+contiguity requests
+~~~~~~~~~~~~~~~~~~~
+
+C or Fortran contiguity can be explicitly requested, with and without stride
+information. Without stride information, the buffer must be C-contiguous.
+
++-----------------------------------+-------+---------+------------+--------+
+|  Request                          | shape | strides | suboffsets | contig |
++===================================+=======+=========+============+========+
+| .. c:macro:: PyBUF_C_CONTIGUOUS   |  yes  |   yes   |    NULL    |   C    |
++-----------------------------------+-------+---------+------------+--------+
+| .. c:macro:: PyBUF_F_CONTIGUOUS   |  yes  |   yes   |    NULL    |   F    |
++-----------------------------------+-------+---------+------------+--------+
+| .. c:macro:: PyBUF_ANY_CONTIGUOUS |  yes  |   yes   |    NULL    | C or F |
++-----------------------------------+-------+---------+------------+--------+
+| .. c:macro:: PyBUF_ND             |  yes  |   NULL  |    NULL    |   C    |
++-----------------------------------+-------+---------+------------+--------+
+
+
+compound requests
+~~~~~~~~~~~~~~~~~
+
+All possible requests are fully defined by some combination of the flags in
+the previous section. For convenience, the buffer protocol provides frequently
+used combinations as single flags.
+
+In the following table *U* stands for undefined contiguity. The consumer would
+have to call :c:func:`PyBuffer_IsContiguous` to determine contiguity.
+
+
+
++-------------------------------+-------+---------+------------+--------+----------+--------+
+|  Request                      | shape | strides | suboffsets | contig | readonly | format |
++===============================+=======+=========+============+========+==========+========+
+| .. c:macro:: PyBUF_FULL       |  yes  |   yes   | if needed  |   U    |     0    |  yes   |
++-------------------------------+-------+---------+------------+--------+----------+--------+
+| .. c:macro:: PyBUF_FULL_RO    |  yes  |   yes   | if needed  |   U    |  1 or 0  |  yes   |
++-------------------------------+-------+---------+------------+--------+----------+--------+
+| .. c:macro:: PyBUF_RECORDS    |  yes  |   yes   |    NULL    |   U    |     0    |  yes   |
++-------------------------------+-------+---------+------------+--------+----------+--------+
+| .. c:macro:: PyBUF_RECORDS_RO |  yes  |   yes   |    NULL    |   U    |  1 or 0  |  yes   |
++-------------------------------+-------+---------+------------+--------+----------+--------+
+| .. c:macro:: PyBUF_STRIDED    |  yes  |   yes   |    NULL    |   U    |     0    |  NULL  |
++-------------------------------+-------+---------+------------+--------+----------+--------+
+| .. c:macro:: PyBUF_STRIDED_RO |  yes  |   yes   |    NULL    |   U    |  1 or 0  |  NULL  |
++-------------------------------+-------+---------+------------+--------+----------+--------+
+| .. c:macro:: PyBUF_CONTIG     |  yes  |   NULL  |    NULL    |   C    |     0    |  NULL  |
++-------------------------------+-------+---------+------------+--------+----------+--------+
+| .. c:macro:: PyBUF_CONTIG_RO  |  yes  |   NULL  |    NULL    |   C    |  1 or 0  |  NULL  |
++-------------------------------+-------+---------+------------+--------+----------+--------+
+
+
+Complex arrays
+==============
+
+NumPy-style: shape and strides
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+The logical structure of NumPy-style arrays is defined by :c:member:`~Py_buffer.itemsize`,
+:c:member:`~Py_buffer.ndim`, :c:member:`~Py_buffer.shape` and :c:member:`~Py_buffer.strides`.
+
+If ``ndim == 0``, the memory location pointed to by :c:member:`~Py_buffer.buf` is
+interpreted as a scalar of size :c:member:`~Py_buffer.itemsize`. In that case,
+both :c:member:`~Py_buffer.shape` and :c:member:`~Py_buffer.strides` are *NULL*.
+
+If :c:member:`~Py_buffer.strides` is *NULL*, the array is interpreted as
+a standard n-dimensional C-array. Otherwise, the consumer must access an
+n-dimensional array as follows:
+
+   ``ptr = (char *)buf + indices[0] * strides[0] + ... + indices[n-1] * strides[n-1]``
+   ``item = *((typeof(item) *)ptr);``
+
+
+As noted above, :c:member:`~Py_buffer.buf` can point to any location within
+the actual memory block. An exporter can check the validity of a buffer with
+this function:
+
+.. code-block:: python
+
+   def verify_structure(memlen, itemsize, ndim, shape, strides, offset):
+       """Verify that the parameters represent a valid array within
+          the bounds of the allocated memory:
+              char *mem: start of the physical memory block
+              memlen: length of the physical memory block
+              offset: (char *)buf - mem
+       """
+       if offset % itemsize:
+           return False
+       if offset < 0 or offset+itemsize > memlen:
+           return False
+       if any(v % itemsize for v in strides):
+           return False
+
+       if ndim <= 0:
+           return ndim == 0 and not shape and not strides
+       if 0 in shape:
+           return True
+
+       imin = sum(strides[j]*(shape[j]-1) for j in range(ndim)
+                  if strides[j] <= 0)
+       imax = sum(strides[j]*(shape[j]-1) for j in range(ndim)
+                  if strides[j] > 0)
+
+       return 0 <= offset+imin and offset+imax+itemsize <= memlen
+
+
+PIL-style: shape, strides and suboffsets
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+In addition to the regular items, PIL-style arrays can contain pointers
+that must be followed in order to get to the next element in a dimension.
+For example, the regular three-dimensional C-array ``char v[2][2][3]`` can
+also be viewed as an array of 2 pointers to 2 two-dimensional arrays:
+``char (*v[2])[2][3]``. In suboffsets representation, those two pointers
+can be embedded at the start of :c:member:`~Py_buffer.buf`, pointing
+to two ``char x[2][3]`` arrays that can be located anywhere in memory.
+
+
+Here is a function that returns a pointer to the element in an N-D array
+pointed to by an N-dimensional index when there are both non-NULL strides
+and suboffsets::
+
+   void *get_item_pointer(int ndim, void *buf, Py_ssize_t *strides,
+                          Py_ssize_t *suboffsets, Py_ssize_t *indices) {
+       char *pointer = (char*)buf;
+       int i;
+       for (i = 0; i < ndim; i++) {
+           pointer += strides[i] * indices[i];
+           if (suboffsets[i] >=0 ) {
+               pointer = *((char**)pointer) + suboffsets[i];
+           }
+       }
+       return (void*)pointer;
+   }
+
 
 Buffer-related functions
 ========================
 
-
 .. c:function:: int PyObject_CheckBuffer(PyObject *obj)
 
    Return 1 if *obj* supports the buffer interface otherwise 0.  When 1 is
@@ -175,152 +415,69 @@
    succeed.
 
 
-.. c:function:: int PyObject_GetBuffer(PyObject *obj, Py_buffer *view, int flags)
+.. c:function:: int PyObject_GetBuffer(PyObject *exporter, Py_buffer *view, int flags)
 
-      Export a view over some internal data from the target object *obj*.
-      *obj* must not be NULL, and *view* must point to an existing
-      :c:type:`Py_buffer` structure allocated by the caller (most uses of
-      this function will simply declare a local variable of type
-      :c:type:`Py_buffer`).  The *flags* argument is a bit field indicating
-      what kind of buffer is requested.  The buffer interface allows
-      for complicated memory layout possibilities; however, some callers
-      won't want to handle all the complexity and instead request a simple
-      view of the target object (using :c:macro:`PyBUF_SIMPLE` for a read-only
-      view and :c:macro:`PyBUF_WRITABLE` for a read-write view).
+   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
+   return -1.
 
-      Some exporters may not be able to share memory in every possible way and
-      may need to raise errors to signal to some consumers that something is
-      just not possible. These errors should be a :exc:`BufferError` unless
-      there is another error that is actually causing the problem. The
-      exporter can use flags information to simplify how much of the
-      :c:data:`Py_buffer` structure is filled in with non-default values and/or
-      raise an error if the object can't support a simpler view of its memory.
+   On success, fill in *view*, set :c:member:`view->obj` to a new reference
+   to *exporter* and return 0.
 
-      On success, 0 is returned and the *view* structure is filled with useful
-      values.  On error, -1 is returned and an exception is raised; the *view*
-      is left in an undefined state.
-
-      The following are the possible values to the *flags* arguments.
-
-      .. c:macro:: PyBUF_SIMPLE
-
-         This is the default flag.  The returned buffer exposes a read-only
-         memory area.  The format of data is assumed to be raw unsigned bytes,
-         without any particular structure.  This is a "stand-alone" flag
-         constant.  It never needs to be '|'d to the others.  The exporter will
-         raise an error if it cannot provide such a contiguous buffer of bytes.
-
-      .. c:macro:: PyBUF_WRITABLE
-
-         Like :c:macro:`PyBUF_SIMPLE`, but the returned buffer is writable.  If
-         the exporter doesn't support writable buffers, an error is raised.
-
-      .. c:macro:: PyBUF_STRIDES
-
-         This implies :c:macro:`PyBUF_ND`.  The returned buffer must provide
-         strides information (i.e. the strides cannot be NULL).  This would be
-         used when the consumer can handle strided, discontiguous arrays.
-         Handling strides automatically assumes you can handle shape.  The
-         exporter can raise an error if a strided representation of the data is
-         not possible (i.e. without the suboffsets).
-
-      .. c:macro:: PyBUF_ND
-
-         The returned buffer must provide shape information.  The memory will be
-         assumed C-style contiguous (last dimension varies the fastest).  The
-         exporter may raise an error if it cannot provide this kind of
-         contiguous buffer.  If this is not given then shape will be *NULL*.
-
-      .. c:macro:: PyBUF_C_CONTIGUOUS
-                  PyBUF_F_CONTIGUOUS
-                  PyBUF_ANY_CONTIGUOUS
-
-         These flags indicate that the contiguity returned buffer must be
-         respectively, C-contiguous (last dimension varies the fastest), Fortran
-         contiguous (first dimension varies the fastest) or either one.  All of
-         these flags imply :c:macro:`PyBUF_STRIDES` and guarantee that the
-         strides buffer info structure will be filled in correctly.
-
-      .. c:macro:: PyBUF_INDIRECT
-
-         This flag indicates the returned buffer must have suboffsets
-         information (which can be NULL if no suboffsets are needed).  This can
-         be used when the consumer can handle indirect array referencing implied
-         by these suboffsets. This implies :c:macro:`PyBUF_STRIDES`.
-
-      .. c:macro:: PyBUF_FORMAT
-
-         The returned buffer must have true format information if this flag is
-         provided.  This would be used when the consumer is going to be checking
-         for what 'kind' of data is actually stored.  An exporter should always
-         be able to provide this information if requested.  If format is not
-         explicitly requested then the format must be returned as *NULL* (which
-         means ``'B'``, or unsigned bytes).
-
-      .. c:macro:: PyBUF_STRIDED
-
-         This is equivalent to ``(PyBUF_STRIDES | PyBUF_WRITABLE)``.
-
-      .. c:macro:: PyBUF_STRIDED_RO
-
-         This is equivalent to ``(PyBUF_STRIDES)``.
-
-      .. c:macro:: PyBUF_RECORDS
-
-         This is equivalent to ``(PyBUF_STRIDES | PyBUF_FORMAT |
-         PyBUF_WRITABLE)``.
-
-      .. c:macro:: PyBUF_RECORDS_RO
-
-         This is equivalent to ``(PyBUF_STRIDES | PyBUF_FORMAT)``.
-
-      .. c:macro:: PyBUF_FULL
-
-         This is equivalent to ``(PyBUF_INDIRECT | PyBUF_FORMAT |
-         PyBUF_WRITABLE)``.
-
-      .. c:macro:: PyBUF_FULL_RO
-
-         This is equivalent to ``(PyBUF_INDIRECT | PyBUF_FORMAT)``.
-
-      .. c:macro:: PyBUF_CONTIG
-
-         This is equivalent to ``(PyBUF_ND | PyBUF_WRITABLE)``.
-
-      .. c:macro:: PyBUF_CONTIG_RO
-
-         This is equivalent to ``(PyBUF_ND)``.
+   Successful calls to :c:func:`PyObject_GetBuffer` must be paired with calls
+   to :c:func:`PyBuffer_Release`, similar to :c:func:`malloc` and :c:func:`free`.
+   Thus, after the consumer is done with the buffer, :c:func:`PyBuffer_Release`
+   must be called exactly once.
 
 
 .. c:function:: void PyBuffer_Release(Py_buffer *view)
 
-   Release the buffer *view*.  This should be called when the buffer is no
-   longer being used as it may free memory from it.
+   Release the buffer *view* and decrement the reference count for
+   :c:member:`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
+   :c:func:`PyObject_GetBuffer`.
 
 
 .. c:function:: Py_ssize_t PyBuffer_SizeFromFormat(const char *)
 
-   Return the implied :c:data:`~Py_buffer.itemsize` from the struct-stype
-   :c:data:`~Py_buffer.format`.
+   Return the implied :c:data:`~Py_buffer.itemsize` from :c:data:`~Py_buffer.format`.
+   This function is not yet implemented.
 
 
-.. c:function:: int PyBuffer_IsContiguous(Py_buffer *view, char fortran)
+.. c:function:: int PyBuffer_IsContiguous(Py_buffer *view, char order)
 
-   Return 1 if the memory defined by the *view* is C-style (*fortran* is
-   ``'C'``) or Fortran-style (*fortran* is ``'F'``) contiguous or either one
-   (*fortran* is ``'A'``).  Return 0 otherwise.
+   Return 1 if the memory defined by the *view* is C-style (*order* is
+   ``'C'``) or Fortran-style (*order* is ``'F'``) contiguous or either one
+   (*order* is ``'A'``).  Return 0 otherwise.
 
 
-.. c:function:: void PyBuffer_FillContiguousStrides(int ndim, Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t itemsize, char fortran)
+.. c:function:: void PyBuffer_FillContiguousStrides(int ndim, Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t itemsize, char order)
 
    Fill the *strides* array with byte-strides of a contiguous (C-style if
-   *fortran* is ``'C'`` or Fortran-style if *fortran* is ``'F'``) array of the
+   *order* is ``'C'`` or Fortran-style if *order* is ``'F'``) array of the
    given shape with the given number of bytes per element.
 
 
-.. c:function:: int PyBuffer_FillInfo(Py_buffer *view, PyObject *obj, void *buf, Py_ssize_t len, int readonly, int infoflags)
+.. c:function:: int PyBuffer_FillInfo(Py_buffer *view, PyObject *exporter, void *buf, Py_ssize_t len, int readonly, int flags)
 
-   Fill in a buffer-info structure, *view*, correctly for an exporter that can
-   only share a contiguous chunk of memory of "unsigned bytes" of the given
-   length.  Return 0 on success and -1 (with raising an error) on error.
+   Handle buffer requests for an exporter that wants to expose *buf* of size *len*
+   with writability set according to *readonly*. *buf* is interpreted as a sequence
+   of unsigned bytes.
+
+   The *flags* argument indicates the request type. This function always fills in
+   *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
+   return 0. Otherwise, raise :c:data:`PyExc_BufferError`, set
+   :c:member:`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. Otherwise, *exporter* MUST
+   be NULL.
+
+