[Python-3000] PEP 368: Standard image protocol and class (original) (raw)

Lino Mastrodomenico l.mastrodomenico at gmail.com
Sun Jul 1 03:00:29 CEST 2007


Here's the full text of the PEP's current draft, so you can comment directly on it (thanks to Collin Winter for the suggestion):

PEP: 368 Title: Standard image protocol and class Version: Revision:56133Revision: 56133 Revision:56133 Last-Modified: Date:2007−06−3021:07:03+0200(sab,30giu2007)Date: 2007-06-30 21:07:03 +0200 (sab, 30 giu 2007) Date:2007063021:07:03+0200(sab,30giu2007) Author: Lino Mastrodomenico <l.mastrodomenico at gmail.com> Status: Draft Type: Standards Track Content-Type: text/x-rst Created: 28-Jun-2007 Python-Version: 2.6, 3.0 Post-History:

Abstract

The current situation of image storage and manipulation in the Python world is extremely fragmented: almost every library that uses image objects has implemented its own image class, incompatible with everyone else's and often not very pythonic. A basic RGB image class exists in the standard library (Tkinter.PhotoImage), but is pretty much unusable, and unused, for anything except Tkinter programming.

This fragmentation not only takes up valuable space in the developers minds, but also makes the exchange of images between different libraries (needed in relatively common use cases) slower and more complex than it needs to be.

This PEP proposes to improve the situation by defining a simple and pythonic image protocol/interface that can be hopefully accepted and implemented by existing image classes inside and outside the standard library without breaking backward compatibility with their existing user bases. In practice this is a definition of how a minimal image-like object should look and act (in a similar way to the read() and write() methods in file-like objects).

The inclusion in the standard library of a class that provides basic image manipulation functionality and implements the new protocol is also proposed, together with a mixin class that helps adding support for the protocol to existing image classes.

Rationale

A good way to have high quality modules ready for inclusion in the Python standard library is to simply wait for natural selection among competing external libraries to provide a clear winner with useful functionality and a big user base. Then the de-facto standard can be officially sanctioned by including it in the standard library.

Unfortunately this approach hasn't worked well for the creation of a dominant image class in the Python world: almost every third-party library that requires an image object creates its own class incompatible with the ones from other libraries. This is a real problem because it's entirely reasonable for a program to create and manipulate an image using, e.g., PIL (the Python Imaging Library) and then display it using wxPython or pygame. But these libraries have different and incompatible image classes, and the usual solution is to manually "export" an image from the source to a (width, height, bytes_string) tuple and "import" it creating a new instance in the target format. This approach works, but is both uglier and slower than it needs to be.

Another "solution" that has been sometimes used is the creation of specific adapters and/or converters from a class to another (e.g. PIL offers the ImageTk module for converting PIL images to a class compatible with the Tkinter one). But this approach doesn't scale well with the number of libraries involved and it's still annoying for the user: if I have a perfectly good image object why should I convert before passing it to the next method, why can't it simply accept my image as-is?

The problem isn't by any stretch limited to the three mentioned libraries and has probably multiple causes, including two that IMO are very important to understand before solving it:

This PEP tries to improve this situation in four ways:

  1. It defines a simple and pythonic image protocol/interface (both on the Python and the C side) that can be hopefully accepted and implemented by existing image classes inside and outside the standard library without breaking backward compatibility with their existing user bases.

  2. It proposes the inclusion in the standard library of three new classes:

    • ImageMixin provides almost everything necessary to implement the new protocol; its main purpose is to make as simple as possible to support this interface for existing libraries, in some cases as simple as adding it to the list of base classes and doing minor additions to the constructor.

    • Image is a subclass of ImageMixin and will add a constructor that can resize and/or convert an image between different pixel formats. This is intended to provide a fast and efficient default implementation of the new protocol.

    • ImageSize is a minor helper class. See below for details.

  3. Tkinter.PhotoImage will implement the new protocol (mostly through the ImageMixin class) and all the Tkinter methods that can receive an image will be modified the accept any object that implements the interface. As an aside the author of this PEP will collaborate with the developers of the most common external libraries to achieve the same goal (supporting the protocol in their classes and accepting any class that implements it).

  4. New PyImage_* functions will be added to the CPython C API: they implement the C side of the protocol and accept as first parameter any object that supports it, even if it isn't an instance of the Image/ImageMixin classes.

The main effects for the end user will be a simplification of the interchange of images between different libraries (if everything goes well, any Python library will accept images from any other library) and the out-of-the-box availability of the new Image class. The new class is intended to cover simple but common use cases like cropping and/or resizing a photograph to the desired size and passing it an appropriate widget for displaying it on a window, or darkening a texture and passing it to a 3D library.

The Image class is not intended to replace or compete with PIL, Pythonmagick or NumPy, even if it provides a (very small) subset of the functionality of these three libraries. In particular PIL offers very rich image manipulation features with dozens of classes, filters, transformations and file formats. The inclusion of PIL (or something similar) in the standard library may, or may not, be a worthy goal but it's completely outside the scope of this PEP.

Specification

The imageop module is used as the default location for the new classes and objects because it has for a long time hosted functions that provided a somewhat similar functionality, but a new module may be created if preferred (e.g. a new "image" or "media" module; the latter may eventually include other multimedia classes).

MODES is a new module level constant: it is a set of the pixel formats supported by the Image class. Any image object that implements the new protocol is guaranteed to be formatted in one of these modes, but libraries that accept images are allowed to support only a subset of them.

These modes are in turn also available as module level constants (e.g. imageop.RGB).

The following table is a summary of the modes currently supported and their properties:

========= =============== ========= =========== ====================== Name Component Bits per Subsampling Valid names component intervals ========= =============== ========= =========== ====================== L l (lowercase L) 8 no full range L16 l 16 no full range L32 l 32 no full range LA l, a 8 no full range LA32 l, a 16 no full range RGB r, g, b 8 no full range RGB48 r, g, b 16 no full range RGBA r, g, b, a 8 no full range RGBA64 r, g, b, a 16 no full range YV12 y, cr, cb 8 1, 2, 2 16-235, 16-240, 16-240 JPEG_YV12 y, cr, cb 8 1, 2, 2 full range CMYK c, m, y, k 8 no full range CMYK64 c, m, y, k 16 no full range ========= =============== ========= =========== ======================

When the name of a mode ends with a number, it represents the average number of bits per pixel. All the other modes simply use a byte per component per pixel.

No palette modes or modes with less than 8 bits per component are supported. Welcome to the 21st century.

Here's a quick description of the modes and the rationale for their inclusion; there are four groups of modes:

  1. grayscale (L* modes): they are heavily used in scientific computing (those people may also need a very high dynamic range and precision, hence L32, the only mode with 32 bits per component) and sometimes it can be useful to consider a single component of a color image as a grayscale image (this is used by the individual planes of the planar images, see YV12 below); the name of the component ('l', lowercase letter L) stands for luminance, the second optional component ('a') is the alpha value and represents the opacity of the pixels: alpha = 0 means full transparency, alpha = 255/65535 represents a fully opaque pixel;

  2. RGB* modes: the garden variety color images. The optional alpha component has the same meaning as in grayscale modes;

  3. YCbCr, a.k.a. YUV (*YV12 modes). These modes are planar (i.e. the values of all the pixel for each component are stored in a consecutive memory area, instead of the usual arrangement where all the components of a pixel reside in consecutive bytes) and use a 1, 2, 2 (a.k.a. 4:2:0) subsampling (i.e. each pixel has its own Y value, but the Cb and Cr components are shared between groups of 2x2 adjacent pixels) because this is the format that's by far the most common for YCbCr images. Please note that the V (Cr) plane is stored before the U (Cb) plane.

    YV12 is commonly used for MPEG2 (including DVDs), MPEG4 (both ASP/DivX and AVC/H.264) and Theora video frames. Valid values for Y are in range(16, 236) (excluding 236), and valid values for Cb and Cr are in range(16, 241). JPEG_YV12 is similar to YV12, but the three components can have the full range of 256 values. It's the native format used by almost all JPEG/JFIF files and by MJPEG video frames. The "strangeness" of these two wrt all the other supported modes derives from the fact that they are widely used that way by a lot of existing libraries and applications; this is also the reason why they are included (and the fact that they can't losslessly converted to RGB because YCbCr is a bigger color space); the funny 4:2:0 planar arrangement of the pixel values is relatively easy to support because in most cases the three planes can be considered three separate grayscale images;

  4. CMYK* modes (cyan, magenta, yellow and black) are subtractive color modes, used for printing color images on dead trees. Professional designers love to pretend that they can't live without them, so here they are.

Python API

See the examples_ below.

In Python 2.x, all the new classes defined here are new-style classes.

Mode Objects ''''''''''''

The mode objects offer a number of attributes and methods that can be used for implementing generic algorithms that work on different types of images:

components

The number of components per pixel (e.g. 4 for an RGBA image).

component_names

A tuple of strings; see the column "Component names" in the above
table.

bits_per_component

8, 16 or 32; see "Bits per component" in the above table.

bytes_per_pixel

``components * bits_per_component // 8``, only available for non
planar modes (see below).

planar

Boolean; ``True`` if the image components reside each in a
separate plane.  Currently this happens if and only if the mode
uses subsampling.

subsampling

A tuple that for each component in the mode contains a tuple of
two integers that represent the amount of downsampling in the
horizontal and vertical direction, respectively.  In practice it's
``((1, 1), (2, 2), (2, 2))`` for ``YV12`` and ``JPEG_YV12`` and
``((1, 1),) * components`` for everything else.

x_divisor

``max(x for x, y in subsampling)``; the width of an image that
uses this mode must be divisible for this value.

y_divisor

``max(y for x, y in subsampling)``; the height of an image that
uses this mode must be divisible for this value.

intervals

A tuple that for each component in the mode contains a tuple of
two integers: the minimum and maximum valid value for the
component.  Its value is ``((16, 235), (16, 240), (16, 240))`` for
``YV12`` and ``((0, 2 ** bits_per_component - 1),) * components``
for everything else.

get_length(iterable[integer]) -> int

The parameter must be an iterable that contains two integers: the
width and height of an image; it returns the number of bytes
needed to store an image of these dimensions with this mode.

Implementation detail: the modes are instances of a subclass of str and have a value equal to their name (e.g. imageop.RGB == 'RGB') except for L32 that has value 'I'. This is only intended for backward compatibility with existing PIL users; new code that uses the image protocol proposed here should not rely on this detail.

Image Protocol ''''''''''''''

Any object that supports the image protocol must provide the following methods and attributes:

mode

The format and the arrangement of the pixels in this image; it's
one of the constants in the ``MODES`` set.

size

An instance of the `ImageSize class`_; it's a named tuple of two
integers: the width and the height of the image in pixels; both of
them must be >= 1 and can also be accessed as the ``width`` and
``height`` attributes of ``size``.

buffer

A sequence of integers between 0 and 255; they are the actual
bytes used for storing the image data (i.e. modifying their values
affects the image pixels and vice versa); the data has a
row-major/C-contiguous order without padding and without any
special memory alignment, even when there are more than 8 bits per
component.  The only supported methods are ``__len__``,
``__getitem__``/``__setitem__`` (with both integers and slice
indexes) and ``__iter__``; on the C side it implements the buffer
protocol.

This is a pretty low level interface to the image and the user is
responsible for using the correct (native) byte order for modes
with more than 8 bit per component and the correct value ranges
for ``YV12`` images.  A buffer may or may not keep a reference to
its image, but it's still safe (if useless) to use the buffer even
after the corresponding image has been destroyed by the garbage
collector (this will require changes to the image class of
wxPython and possibly other libraries).  Implementation detail:
this can be an ``array('B')``, a ``bytes()`` object or a
specialized fixed-length type.

info

A ``dict`` object that can contain arbitrary metadata associated
with the image (e.g. DPI, gamma, ICC profile, exposure time...);
the interpretation of this data is beyond the scope of this PEP
and probably depends on the library used to create and/or to save
the image; if a method of the image returns a new image, it can
copy or adapt metadata from its own ``info`` attribute (the
``ImageMixin`` implementation always creates a new image with an
empty ``info`` dictionary).

| bitspercomponent | bytesperpixel | componentnames | components | intervals | planar | subsampling

Shortcuts for the corresponding ``mode.*`` attributes.

map(function[, function...]) -> None

For every pixel in the image, maps each component through the
corresponding function.  If only one function is passed, it is
used repeatedly for each component.  This method modifies the
image **in place** and is usually very fast (most of the time the
functions are called only a small number of times, possibly only
once for simple functions without branches), but it imposes a
number of restrictions on the function(s) passed:

* it must accept a single integer argument and return a number
  (``map`` will round the result to the nearest integer and clip
  it to ``range(0, 2 ** bits_per_component)``, if necessary);

* it must *not* try to intercept any ``BaseException``,
  ``Exception`` or any unknown subclass of ``Exception`` raised by
  any operation on the argument (implementations may try to
  optimize the speed by passing funny objects, so even a simple
  ``"if n == 10:"`` may raise an exception: simply ignore it,
  ``map`` will take care of it); catching any other exception is
  fine;

* it should be side-effect free and its result should not depend
  on values (other than the argument) that may change during a
  single invocation of ``map``.

| rotate90() -> image | rotate180() -> image | rotate270() -> image

Return a copy of the image rotated 90, 180 or 270 degrees
counterclockwise around its center.

clip() -> None

Saturates invalid component values in ``YV12`` images to the
minimum or the maximum allowed (see ``mode.intervals``), for other
image modes this method does nothing, very fast; libraries that
save/export ``YV12`` images are encouraged to always call this
method, since intermediate operations (e.g. the ``map`` method)
may assign to pixels values outside the valid intervals.

split() -> tuple[image]

Returns a tuple of ``L``, ``L16`` or ``L32`` images corresponding
to the individual components in the image.

Planar images also supports attributes with the same names defined in component_names: they contain grayscale (mode L) images that offer a view on the pixel values for the corresponding component; any change to the subimages is immediately reflected on the parent image and vice versa (their buffers refer to the same memory location).

Non-planar images offer the following additional methods:

pixels() -> iterator[pixel]

Returns an iterator that iterates over all the pixels in the
image, starting from the top line and scanning each line from left
to right.  See below for a description of the `pixel objects`_.

__iter__() -> iterator[line]

Returns an iterator that iterates over all the lines in the image,
from top to bottom.  See below for a description of the `line
objects`_.

__len__() -> int

Returns the number of lines in the image (``size.height``).

__getitem__(integer) -> line

Returns the line at the specified (y) position.

__getitem__(tuple[integer]) -> pixel

The parameter must be a tuple of two integers; they are
interpreted respectively as x and y coordinates in the image (0, 0
is the top left corner) and a pixel object is returned.

__getitem__(slice | tuple[integer | slice]) -> image

The parameter must be a slice or a tuple that contains two slices
or an integer and a slice; the selected area of the image is
copied and a new image is returned; ``image[x:y:z]`` is equivalent
to ``image[:, x:y:z]``.

__setitem__(tuple[integer], integer | iterable[integer]) -> None

Modifies the pixel at specified position; ``image[x, y] =
integer`` is a shortcut for ``image[x, y] = (integer,)`` for
images with a single component.

__setitem__(slice | tuple[integer | slice], image) -> None

Selects an area in the same way as the corresponding form of the
``__getitem__`` method and assigns to it a copy of the pixels from
the image in the second argument, that must have exactly the same
mode as this image and the same size as the specified area; the
alpha component, if present, is simply copied and doesn't affect
the other components of the image (i.e. no alpha compositing is
performed).

The mode, size and buffer (including the address in memory of the buffer) never change after an image is created.

It is expected that, if PEP 3118 is accepted, all the image objects will support the new buffer protocol, however this is beyond the scope of this PEP.

Image and ImageMixin Classes ''''''''''''''''''''''''''''''''''''

The ImageMixin class implements all the methods and attributes described above except mode, size, buffer and info. Image is a subclass of ImageMixin that adds support for these four attributes and offers the following constructor (please note that the constructor is not part of the image protocol):

__init__(mode, size, color, source)

``mode`` must be one of the constants in the ``MODES`` set,
``size`` is a sequence of two integers (width and height of the
new image); ``color`` is a sequence of integers, one for each
component of the image, used to initialize all the pixels to the
same value; ``source`` can be a sequence of integers of the
appropriate size and format that is copied as-is in the buffer of
the new image or an existing image; in Python 2.x ``source`` can
also be an instance of ``str`` and is interpreted as a sequence of
bytes.  ``color`` and ``source`` are mutually exclusive and if
they are both omitted the image is initialized to transparent
black (all the bytes in the buffer have value 16 in the ``YV12``
mode, 255 in the ``CMYK*`` modes and 0 for everything else).  If
``source`` is present and is an image, ``mode`` and/or ``size``
can be omitted; if they are specified and are different from the
source mode and/or size, the source image is converted.

The exact algorithms used for resizing and doing color space
conversions may differ between Python versions and
implementations, but they always give high quality results (e.g.:
a cubic spline interpolation can be used for upsampling and an
antialias filter can be used for downsampling images); any
combination of mode conversion is supported, but the algorithm
used for conversions to and from the ``CMYK*`` modes is pretty
naïve: if you have the exact color profiles of your devices you
may want to use a good color management tool such as LittleCMS.
The new image has an empty ``info`` ``dict``.

Line Objects ''''''''''''

The line objects (returned, e.g., when iterating over an image) support the following attributes and methods:

mode

The mode of the image from where this line comes.

__iter__() -> iterator[pixel]

Returns an iterator that iterates over all the pixels in the line,
from left to right.  See below for a description of the `pixel
objects`_.

__len__() -> int

Returns the number of pixels in the line (the image width).

__getitem__(integer) -> pixel

Returns the pixel at the specified (x) position.

__getitem__(slice) -> image

The selected part of the line is copied and a new image is
returned; the new image will always have height 1.

__setitem__(integer, integer | iterable[integer]) -> None

Modifies the pixel at the specified position; ``line[x] =
integer`` is a shortcut for ``line[x] = (integer,)`` for images
with a single component.

__setitem__(slice, image) -> None

Selects a part of the line and assigns to it a copy of the pixels
from the image in the second argument, that must have height 1, a
width equal to the specified slice and the same mode as this line;
the alpha component, if present, is simply copied and doesn't
affect the other components of the image (i.e. no alpha
compositing is performed).

Pixel Objects '''''''''''''

The pixel objects (returned, e.g., when iterating over a line) support the following attributes and methods:

mode

The mode of the image from where this pixel comes.

value

A tuple of integers, one for each component.  Any iterable of the
correct length can be assigned to ``value`` (it will be
automagically converted to a tuple), but you can't assign to it an
integer, even if the mode has only a single component: use, e.g.,
``pixel.l = 123`` instead.

r, g, b, a, l, c, m, y, k

The integer values of each component; only those applicable for
the current mode (in ``mode.component_names``) will be available.

| _iter_() -> iterator[int] | _len_() -> int | _getitem_(integer | slice) -> int | tuple[int] | ``setitem(integer | slice, integer | iterable[integer]) -> None``

These four methods emulate a fixed length list of integers, one
for each pixel component.

ImageSize Class '''''''''''''''''''

ImageSize is a named tuple, a class identical to tuple except that:

ImageSize is not usually instantiated by end-users, but can be used when creating a new class that implements the image protocol, since the size attribute must be an ImageSize instance.

C API

The available image modes are visible at the C level as PyImage_* constants of type PyObject * (e.g.: PyImage_RGB is imageop.RGB).

The following functions offer a C-friendly interface to mode and image objects (all the functions return NULL or -1 on failure):

int PyImageMode_Check(PyObject *obj)

Returns true if the object ``obj`` is a valid image mode.

| int PyImageModeGetComponents(PyObject *mode) | PyObject* PyImageModeGetComponentNames(PyObject *mode) | int PyImageModeGetBitsPerComponent(PyObject *mode) | int PyImageModeGetBytesPerPixel(PyObject *mode) | int PyImageModeGetPlanar(PyObject *mode) | PyObject* PyImageModeGetSubsampling(PyObject *mode) | int PyImageModeGetXDivisor(PyObject *mode) | int PyImageModeGetYDivisor(PyObject *mode) | ``Pyssizet PyImageModeGetLength(PyObject *mode, Pyssizet width, Py_ssize_t height)``

These functions are equivalent to their corresponding Python
attributes or methods.

int PyImage_Check(PyObject *obj)

Returns true if the object ``obj`` is an ``Image`` object or an
instance of a subtype of the ``Image`` type; see also
``PyObject_CheckImage`` below.

int PyImage_CheckExact(PyObject *obj)

Returns true if the object ``obj`` is an ``Image`` object, but not
an instance of a subtype of the ``Image`` type.

| ``PyObject* PyImageNew(PyObject *mode, Pyssizet width, Py_ssize_t height)``

Returns a new ``Image`` instance, initialized to transparent black
(see ``Image.__init__`` above for the details).

| ``PyObject* PyImageFromImage(PyObject *image, PyObject *mode, Py_ssize_t width, Py_ssize_t height)``

Returns a new ``Image`` instance, initialized with the contents of
the ``image`` object rescaled and converted to the specified
``mode``, if necessary.

| ``PyObject* PyImageFromBuffer(PyObject *buffer, PyObject *mode, Py_ssize_t width, Py_ssize_t height)``

Returns a new ``Image`` instance, initialized with the contents of
the ``buffer`` object.

int PyObject_CheckImage(PyObject *obj)

Returns true if the object ``obj`` implements a sufficient subset
of the image protocol to be accepted by the functions defined
below, even if its class is not a subclass of ``ImageMixin``
and/or ``Image``.  Currently it simply checks for the existence
and correctness of the attributes ``mode``, ``size`` and
``buffer``.

| PyObject* PyImageGetMode(PyObject *image) | Pyssizet PyImageGetWidth(PyObject *image) | Pyssizet PyImageGetHeight(PyObject *image) | int PyImageClip(PyObject *image) | PyObject* PyImageSplit(PyObject *image) | PyObject* PyImageGetBuffer(PyObject *image) | ``int PyImageAsBuffer(PyObject *image, const void **buffer, Py_ssize_t *buffer_len)``

These functions are equivalent to their corresponding Python
attributes or methods; the image memory can be accessed only with
the GIL and a reference to the image or its buffer held, and extra
care should be taken for modes with more than 8 bits per
component: the data is stored in native byte order and it can be
**not** aligned on 2 or 4 byte boundaries.

Examples

A few examples of common operations with the new Image class and protocol::

# create a new black RGB image of 6x9 pixels
rgb_image = imageop.Image(imageop.RGB, (6, 9))

# same as above, but initialize the image to bright red
rgb_image = imageop.Image(imageop.RGB, (6, 9), color=(255, 0, 0))

# convert the image to YCbCr
yuv_image = imageop.Image(imageop.JPEG_YV12, source=rgb_image)

# read the value of a pixel and split it into three ints
r, g, b = rgb_image[x, y]

# modify the magenta component of a pixel in a CMYK image
cmyk_image[x, y].m = 13

# modify the Y (luma) component of a pixel in a *YV12 image and
# its corresponding subsampled Cr (red chroma)
yuv_image.y[x, y] = 42
yuv_image.cr[x // 2, y // 2] = 54

# iterate over an image
for line in rgb_image:
    for pixel in line:
        # swap red and blue, and set green to 0
        pixel.value = pixel.b, 0, pixel.r

# find the maximum value of the red component in the image
max_red = max(pixel.r for pixel in rgb_image.pixels())

# count the number of colors in the image
num_of_colors = len(set(tuple(pixel) for pixel in image.pixels()))

# copy a block of 4x2 pixels near the upper right corner of an
# image and paste it into the lower left corner of the same image
image[:4, -2:] = image[-6:-2, 1:3]

# create a copy of the image, except that the new image can have a
# different (usually empty) info dict
new_image = image[:]

# create a mirrored copy of the image, with the left and right
# sides flipped
flipped_image = image[::-1, :]

# downsample an image to half its original size using a fast, low
# quality operation and a slower, high quality one:
low_quality_image = image[::2, ::2]
new_size = image.size.width // 2, image.size.height // 2
high_quality_image = imageop.Image(size=new_size, source=image)

# direct buffer access
rgb_image[0, 0] = r, g, b
assert tuple(rgb_image.buffer[:3]) == (r, g, b)

Backwards Compatibility

There are three areas touched by this PEP where backwards compatibility should be considered:

Reference Implementation

If this PEP is accepted, the author will provide a reference implementation of the new classes in pure Python (that can run in CPython, PyPy, Jython and IronPython) and a second one optimized for speed in Python and C, suitable for inclusion in the CPython standard library. The author will also submit the required Tkinter patches. For all the code will be available a version for Python 2.x and a version for Python 3.0 (it is expected that the two version will be very similar and the Python 3.0 one will probably be generated almost completely automatically).

Acknowledgments

The implementation of this PEP, if accepted, is sponsored by Google through the Google Summer of Code program.

Copyright

This document has been placed in the public domain.

-- Lino Mastrodomenico E-mail: l.mastrodomenico at gmail.com



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