mirror of https://github.com/python/cpython.git
4356 lines
153 KiB
TeX
4356 lines
153 KiB
TeX
\documentclass{manual}
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\usepackage[T1]{fontenc}
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|
||
% Things to do:
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% Add a section on file I/O
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% Write a chapter entitled ``Some Useful Modules''
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% --re, math+cmath
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% Should really move the Python startup file info to an appendix
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\title{Python Tutorial}
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\input{boilerplate}
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||
|
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\begin{document}
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||
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\maketitle
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||
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\ifhtml
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\chapter*{Front Matter\label{front}}
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\fi
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\input{copyright}
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\begin{abstract}
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\noindent
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Python is an easy to learn, powerful programming language. It has
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efficient high-level data structures and a simple but effective
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||
approach to object-oriented programming. Python's elegant syntax and
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||
dynamic typing, together with its interpreted nature, make it an ideal
|
||
language for scripting and rapid application development in many areas
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||
on most platforms.
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The Python interpreter and the extensive standard library are freely
|
||
available in source or binary form for all major platforms from the
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||
Python web site, \url{http://www.python.org}, and can be freely
|
||
distributed. The same site also contains distributions of and
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||
pointers to many free third party Python modules, programs and tools,
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and additional documentation.
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||
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The Python interpreter is easily extended with new functions and data
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types implemented in C or \Cpp{} (or other languages callable from C).
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Python is also suitable as an extension language for customizable
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applications.
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This tutorial introduces the reader informally to the basic concepts
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||
and features of the Python language and system. It helps to have a
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||
Python interpreter handy for hands-on experience, but all examples are
|
||
self-contained, so the tutorial can be read off-line as well.
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||
|
||
For a description of standard objects and modules, see the
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||
\citetitle[../lib/lib.html]{Python Library Reference} document. The
|
||
\citetitle[../ref/ref.html]{Python Reference Manual} gives a more
|
||
formal definition of the language. To write extensions in C or
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||
\Cpp{}, read \citetitle[../ext/ext.html]{Extending and Embedding the
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||
Python Interpreter} and \citetitle[../api/api.html]{Python/C API
|
||
Reference}. There are also several books covering Python in depth.
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||
|
||
This tutorial does not attempt to be comprehensive and cover every
|
||
single feature, or even every commonly used feature. Instead, it
|
||
introduces many of Python's most noteworthy features, and will give
|
||
you a good idea of the language's flavor and style. After reading it,
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||
you will be able to read and write Python modules and programs, and
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||
you will be ready to learn more about the various Python library
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||
modules described in the \citetitle[../lib/lib.html]{Python Library
|
||
Reference}.
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||
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||
\end{abstract}
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||
|
||
\tableofcontents
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||
|
||
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||
\chapter{Whetting Your Appetite \label{intro}}
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||
|
||
If you ever wrote a large shell script, you probably know this
|
||
feeling: you'd love to add yet another feature, but it's already so
|
||
slow, and so big, and so complicated; or the feature involves a system
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||
call or other function that is only accessible from C \ldots Usually
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||
the problem at hand isn't serious enough to warrant rewriting the
|
||
script in C; perhaps the problem requires variable-length strings or
|
||
other data types (like sorted lists of file names) that are easy in
|
||
the shell but lots of work to implement in C, or perhaps you're not
|
||
sufficiently familiar with C.
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||
|
||
Another situation: perhaps you have to work with several C libraries,
|
||
and the usual C write/compile/test/re-compile cycle is too slow. You
|
||
need to develop software more quickly. Possibly perhaps you've
|
||
written a program that could use an extension language, and you don't
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||
want to design a language, write and debug an interpreter for it, then
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||
tie it into your application.
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||
|
||
In such cases, Python may be just the language for you. Python is
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||
simple to use, but it is a real programming language, offering much
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||
more structure and support for large programs than the shell has. On
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||
the other hand, it also offers much more error checking than C, and,
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||
being a \emph{very-high-level language}, it has high-level data types
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||
built in, such as flexible arrays and dictionaries that would cost you
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||
days to implement efficiently in C. Because of its more general data
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||
types Python is applicable to a much larger problem domain than
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||
\emph{Awk} or even \emph{Perl}, yet many things are at least as easy
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||
in Python as in those languages.
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||
|
||
Python allows you to split up your program in modules that can be
|
||
reused in other Python programs. It comes with a large collection of
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||
standard modules that you can use as the basis of your programs --- or
|
||
as examples to start learning to program in Python. There are also
|
||
built-in modules that provide things like file I/O, system calls,
|
||
sockets, and even interfaces to GUI toolkits like Tk.
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||
|
||
Python is an interpreted language, which can save you considerable time
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||
during program development because no compilation and linking is
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||
necessary. The interpreter can be used interactively, which makes it
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||
easy to experiment with features of the language, to write throw-away
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||
programs, or to test functions during bottom-up program development.
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||
It is also a handy desk calculator.
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||
|
||
Python allows writing very compact and readable programs. Programs
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||
written in Python are typically much shorter than equivalent C or
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||
\Cpp{} programs, for several reasons:
|
||
\begin{itemize}
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||
\item
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||
the high-level data types allow you to express complex operations in a
|
||
single statement;
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||
\item
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||
statement grouping is done by indentation instead of begin/end
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||
brackets;
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||
\item
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||
no variable or argument declarations are necessary.
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||
\end{itemize}
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||
|
||
Python is \emph{extensible}: if you know how to program in C it is easy
|
||
to add a new built-in function or module to the interpreter, either to
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||
perform critical operations at maximum speed, or to link Python
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||
programs to libraries that may only be available in binary form (such
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||
as a vendor-specific graphics library). Once you are really hooked,
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||
you can link the Python interpreter into an application written in C
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||
and use it as an extension or command language for that application.
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||
|
||
By the way, the language is named after the BBC show ``Monty Python's
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||
Flying Circus'' and has nothing to do with nasty reptiles. Making
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||
references to Monty Python skits in documentation is not only allowed,
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||
it is encouraged!
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||
|
||
\section{Where From Here \label{where}}
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||
|
||
Now that you are all excited about Python, you'll want to examine it
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||
in some more detail. Since the best way to learn a language is
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||
using it, you are invited here to do so.
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||
|
||
In the next chapter, the mechanics of using the interpreter are
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||
explained. This is rather mundane information, but essential for
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||
trying out the examples shown later.
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||
|
||
The rest of the tutorial introduces various features of the Python
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||
language and system through examples, beginning with simple
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||
expressions, statements and data types, through functions and modules,
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||
and finally touching upon advanced concepts like exceptions
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||
and user-defined classes.
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||
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||
\chapter{Using the Python Interpreter \label{using}}
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||
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||
\section{Invoking the Interpreter \label{invoking}}
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||
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||
The Python interpreter is usually installed as
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||
\file{/usr/local/bin/python} on those machines where it is available;
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||
putting \file{/usr/local/bin} in your \UNIX{} shell's search path
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||
makes it possible to start it by typing the command
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||
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||
\begin{verbatim}
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||
python
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||
\end{verbatim}
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||
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to the shell. Since the choice of the directory where the interpreter
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||
lives is an installation option, other places are possible; check with
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||
your local Python guru or system administrator. (E.g.,
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||
\file{/usr/local/python} is a popular alternative location.)
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||
|
||
Typing an end-of-file character (\kbd{Control-D} on \UNIX,
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||
\kbd{Control-Z} on DOS or Windows) at the primary prompt causes the
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||
interpreter to exit with a zero exit status. If that doesn't work,
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||
you can exit the interpreter by typing the following commands:
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||
\samp{import sys; sys.exit()}.
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||
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||
The interpreter's line-editing features usually aren't very
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||
sophisticated. On \UNIX{}, whoever installed the interpreter may have
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||
enabled support for the GNU readline library, which adds more
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||
elaborate interactive editing and history features. Perhaps the
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||
quickest check to see whether command line editing is supported is
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||
typing Control-P to the first Python prompt you get. If it beeps, you
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||
have command line editing; see Appendix \ref{interacting} for an
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||
introduction to the keys. If nothing appears to happen, or if
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||
\code{\^P} is echoed, command line editing isn't available; you'll
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||
only be able to use backspace to remove characters from the current
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||
line.
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||
|
||
The interpreter operates somewhat like the \UNIX{} shell: when called
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||
with standard input connected to a tty device, it reads and executes
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||
commands interactively; when called with a file name argument or with
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||
a file as standard input, it reads and executes a \emph{script} from
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||
that file.
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||
|
||
A third way of starting the interpreter is
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||
\samp{\program{python} \programopt{-c} \var{command} [arg] ...}, which
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||
executes the statement(s) in \var{command}, analogous to the shell's
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||
\programopt{-c} option. Since Python statements often contain spaces
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||
or other characters that are special to the shell, it is best to quote
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||
\var{command} in its entirety with double quotes.
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||
|
||
Note that there is a difference between \samp{python file} and
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||
\samp{python <file}. In the latter case, input requests from the
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||
program, such as calls to \code{input()} and \code{raw_input()}, are
|
||
satisfied from \emph{file}. Since this file has already been read
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||
until the end by the parser before the program starts executing, the
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||
program will encounter end-of-file immediately. In the former case
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||
(which is usually what you want) they are satisfied from whatever file
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||
or device is connected to standard input of the Python interpreter.
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||
|
||
When a script file is used, it is sometimes useful to be able to run
|
||
the script and enter interactive mode afterwards. This can be done by
|
||
passing \programopt{-i} before the script. (This does not work if the
|
||
script is read from standard input, for the same reason as explained
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||
in the previous paragraph.)
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||
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||
\subsection{Argument Passing \label{argPassing}}
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||
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||
When known to the interpreter, the script name and additional
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||
arguments thereafter are passed to the script in the variable
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||
\code{sys.argv}, which is a list of strings. Its length is at least
|
||
one; when no script and no arguments are given, \code{sys.argv[0]} is
|
||
an empty string. When the script name is given as \code{'-'} (meaning
|
||
standard input), \code{sys.argv[0]} is set to \code{'-'}. When
|
||
\programopt{-c} \var{command} is used, \code{sys.argv[0]} is set to
|
||
\code{'-c'}. Options found after \programopt{-c} \var{command} are
|
||
not consumed by the Python interpreter's option processing but left in
|
||
\code{sys.argv} for the command to handle.
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||
|
||
\subsection{Interactive Mode \label{interactive}}
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||
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||
When commands are read from a tty, the interpreter is said to be in
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||
\emph{interactive mode}. In this mode it prompts for the next command
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||
with the \emph{primary prompt}, usually three greater-than signs
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||
(\samp{>\code{>}>~}); for continuation lines it prompts with the
|
||
\emph{secondary prompt}, by default three dots (\samp{...~}).
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||
The interpreter prints a welcome message stating its version number
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||
and a copyright notice before printing the first prompt, e.g.:
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||
|
||
\begin{verbatim}
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||
python
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||
Python 1.5.2b2 (#1, Feb 28 1999, 00:02:06) [GCC 2.8.1] on sunos5
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||
Copyright 1991-1995 Stichting Mathematisch Centrum, Amsterdam
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||
>>>
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||
\end{verbatim}
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||
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||
Continuation lines are needed when entering a multi-line construct.
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||
As an example, take a look at this \keyword{if} statement:
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||
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||
\begin{verbatim}
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||
>>> the_world_is_flat = 1
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||
>>> if the_world_is_flat:
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||
... print "Be careful not to fall off!"
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||
...
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||
Be careful not to fall off!
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||
\end{verbatim}
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||
|
||
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||
\section{The Interpreter and Its Environment \label{interp}}
|
||
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||
\subsection{Error Handling \label{error}}
|
||
|
||
When an error occurs, the interpreter prints an error
|
||
message and a stack trace. In interactive mode, it then returns to
|
||
the primary prompt; when input came from a file, it exits with a
|
||
nonzero exit status after printing
|
||
the stack trace. (Exceptions handled by an \code{except} clause in a
|
||
\code{try} statement are not errors in this context.) Some errors are
|
||
unconditionally fatal and cause an exit with a nonzero exit; this
|
||
applies to internal inconsistencies and some cases of running out of
|
||
memory. All error messages are written to the standard error stream;
|
||
normal output from the executed commands is written to standard
|
||
output.
|
||
|
||
Typing the interrupt character (usually Control-C or DEL) to the
|
||
primary or secondary prompt cancels the input and returns to the
|
||
primary prompt.\footnote{
|
||
A problem with the GNU Readline package may prevent this.
|
||
}
|
||
Typing an interrupt while a command is executing raises the
|
||
\code{KeyboardInterrupt} exception, which may be handled by a
|
||
\code{try} statement.
|
||
|
||
\subsection{Executable Python Scripts \label{scripts}}
|
||
|
||
On BSD'ish \UNIX{} systems, Python scripts can be made directly
|
||
executable, like shell scripts, by putting the line
|
||
|
||
\begin{verbatim}
|
||
#! /usr/bin/env python
|
||
\end{verbatim}
|
||
|
||
(assuming that the interpreter is on the user's \envvar{PATH}) at the
|
||
beginning of the script and giving the file an executable mode. The
|
||
\samp{\#!} must be the first two characters of the file. Note that
|
||
the hash, or pound, character, \character{\#}, is used to start a
|
||
comment in Python.
|
||
|
||
\subsection{The Interactive Startup File \label{startup}}
|
||
|
||
% XXX This should probably be dumped in an appendix, since most people
|
||
% don't use Python interactively in non-trivial ways.
|
||
|
||
When you use Python interactively, it is frequently handy to have some
|
||
standard commands executed every time the interpreter is started. You
|
||
can do this by setting an environment variable named
|
||
\envvar{PYTHONSTARTUP} to the name of a file containing your start-up
|
||
commands. This is similar to the \file{.profile} feature of the
|
||
\UNIX{} shells.
|
||
|
||
This file is only read in interactive sessions, not when Python reads
|
||
commands from a script, and not when \file{/dev/tty} is given as the
|
||
explicit source of commands (which otherwise behaves like an
|
||
interactive session). It is executed in the same namespace where
|
||
interactive commands are executed, so that objects that it defines or
|
||
imports can be used without qualification in the interactive session.
|
||
You can also change the prompts \code{sys.ps1} and \code{sys.ps2} in
|
||
this file.
|
||
|
||
If you want to read an additional start-up file from the current
|
||
directory, you can program this in the global start-up file,
|
||
e.g.\ \samp{if os.path.isfile('.pythonrc.py'):
|
||
execfile('.pythonrc.py')}. If you want to use the startup file in a
|
||
script, you must do this explicitly in the script:
|
||
|
||
\begin{verbatim}
|
||
import os
|
||
filename = os.environ.get('PYTHONSTARTUP')
|
||
if filename and os.path.isfile(filename):
|
||
execfile(filename)
|
||
\end{verbatim}
|
||
|
||
|
||
\chapter{An Informal Introduction to Python \label{informal}}
|
||
|
||
In the following examples, input and output are distinguished by the
|
||
presence or absence of prompts (\samp{>\code{>}>~} and \samp{...~}): to repeat
|
||
the example, you must type everything after the prompt, when the
|
||
prompt appears; lines that do not begin with a prompt are output from
|
||
the interpreter. %
|
||
%\footnote{
|
||
% I'd prefer to use different fonts to distinguish input
|
||
% from output, but the amount of LaTeX hacking that would require
|
||
% is currently beyond my ability.
|
||
%}
|
||
Note that a secondary prompt on a line by itself in an example means
|
||
you must type a blank line; this is used to end a multi-line command.
|
||
|
||
Many of the examples in this manual, even those entered at the
|
||
interactive prompt, include comments. Comments in Python start with
|
||
the hash character, \character{\#}, and extend to the end of the
|
||
physical line. A comment may appear at the start of a line or
|
||
following whitespace or code, but not within a string literal. A hash
|
||
character within a string literal is just a hash character.
|
||
|
||
Some examples:
|
||
|
||
\begin{verbatim}
|
||
# this is the first comment
|
||
SPAM = 1 # and this is the second comment
|
||
# ... and now a third!
|
||
STRING = "# This is not a comment."
|
||
\end{verbatim}
|
||
|
||
|
||
\section{Using Python as a Calculator \label{calculator}}
|
||
|
||
Let's try some simple Python commands. Start the interpreter and wait
|
||
for the primary prompt, \samp{>\code{>}>~}. (It shouldn't take long.)
|
||
|
||
\subsection{Numbers \label{numbers}}
|
||
|
||
The interpreter acts as a simple calculator: you can type an
|
||
expression at it and it will write the value. Expression syntax is
|
||
straightforward: the operators \code{+}, \code{-}, \code{*} and
|
||
\code{/} work just like in most other languages (for example, Pascal
|
||
or C); parentheses can be used for grouping. For example:
|
||
|
||
\begin{verbatim}
|
||
>>> 2+2
|
||
4
|
||
>>> # This is a comment
|
||
... 2+2
|
||
4
|
||
>>> 2+2 # and a comment on the same line as code
|
||
4
|
||
>>> (50-5*6)/4
|
||
5
|
||
>>> # Integer division returns the floor:
|
||
... 7/3
|
||
2
|
||
>>> 7/-3
|
||
-3
|
||
\end{verbatim}
|
||
|
||
Like in C, the equal sign (\character{=}) is used to assign a value to a
|
||
variable. The value of an assignment is not written:
|
||
|
||
\begin{verbatim}
|
||
>>> width = 20
|
||
>>> height = 5*9
|
||
>>> width * height
|
||
900
|
||
\end{verbatim}
|
||
|
||
A value can be assigned to several variables simultaneously:
|
||
|
||
\begin{verbatim}
|
||
>>> x = y = z = 0 # Zero x, y and z
|
||
>>> x
|
||
0
|
||
>>> y
|
||
0
|
||
>>> z
|
||
0
|
||
\end{verbatim}
|
||
|
||
There is full support for floating point; operators with mixed type
|
||
operands convert the integer operand to floating point:
|
||
|
||
\begin{verbatim}
|
||
>>> 3 * 3.75 / 1.5
|
||
7.5
|
||
>>> 7.0 / 2
|
||
3.5
|
||
\end{verbatim}
|
||
|
||
Complex numbers are also supported; imaginary numbers are written with
|
||
a suffix of \samp{j} or \samp{J}. Complex numbers with a nonzero
|
||
real component are written as \samp{(\var{real}+\var{imag}j)}, or can
|
||
be created with the \samp{complex(\var{real}, \var{imag})} function.
|
||
|
||
\begin{verbatim}
|
||
>>> 1j * 1J
|
||
(-1+0j)
|
||
>>> 1j * complex(0,1)
|
||
(-1+0j)
|
||
>>> 3+1j*3
|
||
(3+3j)
|
||
>>> (3+1j)*3
|
||
(9+3j)
|
||
>>> (1+2j)/(1+1j)
|
||
(1.5+0.5j)
|
||
\end{verbatim}
|
||
|
||
Complex numbers are always represented as two floating point numbers,
|
||
the real and imaginary part. To extract these parts from a complex
|
||
number \var{z}, use \code{\var{z}.real} and \code{\var{z}.imag}.
|
||
|
||
\begin{verbatim}
|
||
>>> a=1.5+0.5j
|
||
>>> a.real
|
||
1.5
|
||
>>> a.imag
|
||
0.5
|
||
\end{verbatim}
|
||
|
||
The conversion functions to floating point and integer
|
||
(\function{float()}, \function{int()} and \function{long()}) don't
|
||
work for complex numbers --- there is no one correct way to convert a
|
||
complex number to a real number. Use \code{abs(\var{z})} to get its
|
||
magnitude (as a float) or \code{z.real} to get its real part.
|
||
|
||
\begin{verbatim}
|
||
>>> a=3.0+4.0j
|
||
>>> float(a)
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1, in ?
|
||
TypeError: can't convert complex to float; use e.g. abs(z)
|
||
>>> a.real
|
||
3.0
|
||
>>> a.imag
|
||
4.0
|
||
>>> abs(a) # sqrt(a.real**2 + a.imag**2)
|
||
5.0
|
||
>>>
|
||
\end{verbatim}
|
||
|
||
In interactive mode, the last printed expression is assigned to the
|
||
variable \code{_}. This means that when you are using Python as a
|
||
desk calculator, it is somewhat easier to continue calculations, for
|
||
example:
|
||
|
||
\begin{verbatim}
|
||
>>> tax = 12.5 / 100
|
||
>>> price = 100.50
|
||
>>> price * tax
|
||
12.5625
|
||
>>> price + _
|
||
113.0625
|
||
>>> round(_, 2)
|
||
113.06
|
||
>>>
|
||
\end{verbatim}
|
||
|
||
This variable should be treated as read-only by the user. Don't
|
||
explicitly assign a value to it --- you would create an independent
|
||
local variable with the same name masking the built-in variable with
|
||
its magic behavior.
|
||
|
||
\subsection{Strings \label{strings}}
|
||
|
||
Besides numbers, Python can also manipulate strings, which can be
|
||
expressed in several ways. They can be enclosed in single quotes or
|
||
double quotes:
|
||
|
||
\begin{verbatim}
|
||
>>> 'spam eggs'
|
||
'spam eggs'
|
||
>>> 'doesn\'t'
|
||
"doesn't"
|
||
>>> "doesn't"
|
||
"doesn't"
|
||
>>> '"Yes," he said.'
|
||
'"Yes," he said.'
|
||
>>> "\"Yes,\" he said."
|
||
'"Yes," he said.'
|
||
>>> '"Isn\'t," she said.'
|
||
'"Isn\'t," she said.'
|
||
\end{verbatim}
|
||
|
||
String literals can span multiple lines in several ways. Newlines can
|
||
be escaped with backslashes, e.g.:
|
||
|
||
\begin{verbatim}
|
||
hello = "This is a rather long string containing\n\
|
||
several lines of text just as you would do in C.\n\
|
||
Note that whitespace at the beginning of the line is\
|
||
significant.\n"
|
||
print hello
|
||
\end{verbatim}
|
||
|
||
which would print the following:
|
||
|
||
\begin{verbatim}
|
||
This is a rather long string containing
|
||
several lines of text just as you would do in C.
|
||
Note that whitespace at the beginning of the line is significant.
|
||
\end{verbatim}
|
||
|
||
Or, strings can be surrounded in a pair of matching triple-quotes:
|
||
\code{"""} or \code {'''}. End of lines do not need to be escaped
|
||
when using triple-quotes, but they will be included in the string.
|
||
|
||
\begin{verbatim}
|
||
print """
|
||
Usage: thingy [OPTIONS]
|
||
-h Display this usage message
|
||
-H hostname Hostname to connect to
|
||
"""
|
||
\end{verbatim}
|
||
|
||
produces the following output:
|
||
|
||
\begin{verbatim}
|
||
Usage: thingy [OPTIONS]
|
||
-h Display this usage message
|
||
-H hostname Hostname to connect to
|
||
\end{verbatim}
|
||
|
||
The interpreter prints the result of string operations in the same way
|
||
as they are typed for input: inside quotes, and with quotes and other
|
||
funny characters escaped by backslashes, to show the precise
|
||
value. The string is enclosed in double quotes if the string contains
|
||
a single quote and no double quotes, else it's enclosed in single
|
||
quotes. (The \keyword{print} statement, described later, can be used
|
||
to write strings without quotes or escapes.)
|
||
|
||
Strings can be concatenated (glued together) with the
|
||
\code{+} operator, and repeated with \code{*}:
|
||
|
||
\begin{verbatim}
|
||
>>> word = 'Help' + 'A'
|
||
>>> word
|
||
'HelpA'
|
||
>>> '<' + word*5 + '>'
|
||
'<HelpAHelpAHelpAHelpAHelpA>'
|
||
\end{verbatim}
|
||
|
||
Two string literals next to each other are automatically concatenated;
|
||
the first line above could also have been written \samp{word = 'Help'
|
||
'A'}; this only works with two literals, not with arbitrary string
|
||
expressions:
|
||
|
||
\begin{verbatim}
|
||
>>> import string
|
||
>>> 'str' 'ing' # <- This is ok
|
||
'string'
|
||
>>> string.strip('str') + 'ing' # <- This is ok
|
||
'string'
|
||
>>> string.strip('str') 'ing' # <- This is invalid
|
||
File "<stdin>", line 1
|
||
string.strip('str') 'ing'
|
||
^
|
||
SyntaxError: invalid syntax
|
||
\end{verbatim}
|
||
|
||
Strings can be subscripted (indexed); like in C, the first character
|
||
of a string has subscript (index) 0. There is no separate character
|
||
type; a character is simply a string of size one. Like in Icon,
|
||
substrings can be specified with the \emph{slice notation}: two indices
|
||
separated by a colon.
|
||
|
||
\begin{verbatim}
|
||
>>> word[4]
|
||
'A'
|
||
>>> word[0:2]
|
||
'He'
|
||
>>> word[2:4]
|
||
'lp'
|
||
\end{verbatim}
|
||
|
||
Unlike a C string, Python strings cannot be changed. Assigning to an
|
||
indexed position in the string results in an error:
|
||
|
||
\begin{verbatim}
|
||
>>> word[0] = 'x'
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1, in ?
|
||
TypeError: object doesn't support item assignment
|
||
>>> word[:1] = 'Splat'
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1, in ?
|
||
TypeError: object doesn't support slice assignment
|
||
\end{verbatim}
|
||
|
||
However, creating a new string with the combined content is easy and
|
||
efficient:
|
||
|
||
\begin{verbatim}
|
||
>>> 'x' + word[1:]
|
||
'xelpA'
|
||
>>> 'Splat' + word[4]
|
||
'SplatA'
|
||
\end{verbatim}
|
||
|
||
Slice indices have useful defaults; an omitted first index defaults to
|
||
zero, an omitted second index defaults to the size of the string being
|
||
sliced.
|
||
|
||
\begin{verbatim}
|
||
>>> word[:2] # The first two characters
|
||
'He'
|
||
>>> word[2:] # All but the first two characters
|
||
'lpA'
|
||
\end{verbatim}
|
||
|
||
Here's a useful invariant of slice operations:
|
||
\code{s[:i] + s[i:]} equals \code{s}.
|
||
|
||
\begin{verbatim}
|
||
>>> word[:2] + word[2:]
|
||
'HelpA'
|
||
>>> word[:3] + word[3:]
|
||
'HelpA'
|
||
\end{verbatim}
|
||
|
||
Degenerate slice indices are handled gracefully: an index that is too
|
||
large is replaced by the string size, an upper bound smaller than the
|
||
lower bound returns an empty string.
|
||
|
||
\begin{verbatim}
|
||
>>> word[1:100]
|
||
'elpA'
|
||
>>> word[10:]
|
||
''
|
||
>>> word[2:1]
|
||
''
|
||
\end{verbatim}
|
||
|
||
Indices may be negative numbers, to start counting from the right.
|
||
For example:
|
||
|
||
\begin{verbatim}
|
||
>>> word[-1] # The last character
|
||
'A'
|
||
>>> word[-2] # The last-but-one character
|
||
'p'
|
||
>>> word[-2:] # The last two characters
|
||
'pA'
|
||
>>> word[:-2] # All but the last two characters
|
||
'Hel'
|
||
\end{verbatim}
|
||
|
||
But note that -0 is really the same as 0, so it does not count from
|
||
the right!
|
||
|
||
\begin{verbatim}
|
||
>>> word[-0] # (since -0 equals 0)
|
||
'H'
|
||
\end{verbatim}
|
||
|
||
Out-of-range negative slice indices are truncated, but don't try this
|
||
for single-element (non-slice) indices:
|
||
|
||
\begin{verbatim}
|
||
>>> word[-100:]
|
||
'HelpA'
|
||
>>> word[-10] # error
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1
|
||
IndexError: string index out of range
|
||
\end{verbatim}
|
||
|
||
The best way to remember how slices work is to think of the indices as
|
||
pointing \emph{between} characters, with the left edge of the first
|
||
character numbered 0. Then the right edge of the last character of a
|
||
string of \var{n} characters has index \var{n}, for example:
|
||
|
||
\begin{verbatim}
|
||
+---+---+---+---+---+
|
||
| H | e | l | p | A |
|
||
+---+---+---+---+---+
|
||
0 1 2 3 4 5
|
||
-5 -4 -3 -2 -1
|
||
\end{verbatim}
|
||
|
||
The first row of numbers gives the position of the indices 0...5 in
|
||
the string; the second row gives the corresponding negative indices.
|
||
The slice from \var{i} to \var{j} consists of all characters between
|
||
the edges labeled \var{i} and \var{j}, respectively.
|
||
|
||
For non-negative indices, the length of a slice is the difference of
|
||
the indices, if both are within bounds, e.g., the length of
|
||
\code{word[1:3]} is 2.
|
||
|
||
The built-in function \function{len()} returns the length of a string:
|
||
|
||
\begin{verbatim}
|
||
>>> s = 'supercalifragilisticexpialidocious'
|
||
>>> len(s)
|
||
34
|
||
\end{verbatim}
|
||
|
||
|
||
\subsection{Unicode Strings \label{unicodeStrings}}
|
||
\sectionauthor{Marc-Andre Lemburg}{mal@lemburg.com}
|
||
|
||
Starting with Python 2.0 a new data type for storing text data is
|
||
available to the programmer: the Unicode object. It can be used to
|
||
store and manipulate Unicode data (see \url{http://www.unicode.org})
|
||
and integrates well with the existing string objects providing
|
||
auto-conversions where necessary.
|
||
|
||
Unicode has the advantage of providing one ordinal for every character
|
||
in every script used in modern and ancient texts. Previously, there
|
||
were only 256 possible ordinals for script characters and texts were
|
||
typically bound to a code page which mapped the ordinals to script
|
||
characters. This lead to very much confusion especially with respect
|
||
to internationalization (usually written as \samp{i18n} ---
|
||
\character{i} + 18 characters + \character{n}) of software. Unicode
|
||
solves these problems by defining one code page for all scripts.
|
||
|
||
Creating Unicode strings in Python is just as simple as creating
|
||
normal strings:
|
||
|
||
\begin{verbatim}
|
||
>>> u'Hello World !'
|
||
u'Hello World !'
|
||
\end{verbatim}
|
||
|
||
The small \character{u} in front of the quote indicates that an
|
||
Unicode string is supposed to be created. If you want to include
|
||
special characters in the string, you can do so by using the Python
|
||
\emph{Unicode-Escape} encoding. The following example shows how:
|
||
|
||
\begin{verbatim}
|
||
>>> u'Hello\u0020World !'
|
||
u'Hello World !'
|
||
\end{verbatim}
|
||
|
||
The escape sequence \code{\e u0020} indicates to insert the Unicode
|
||
character with the ordinal value 0x0020 (the space character) at the
|
||
given position.
|
||
|
||
Other characters are interpreted by using their respective ordinal
|
||
values directly as Unicode ordinals. If you have literal strings
|
||
in the standard Latin-1 encoding that is used in many Western countries,
|
||
you will find it convenient that the lower 256 characters
|
||
of Unicode are the same as the 256 characters of Latin-1.
|
||
|
||
For experts, there is also a raw mode just like the one for normal
|
||
strings. You have to prefix the opening quote with 'ur' to have
|
||
Python use the \emph{Raw-Unicode-Escape} encoding. It will only apply
|
||
the above \code{\e uXXXX} conversion if there is an uneven number of
|
||
backslashes in front of the small 'u'.
|
||
|
||
\begin{verbatim}
|
||
>>> ur'Hello\u0020World !'
|
||
u'Hello World !'
|
||
>>> ur'Hello\\u0020World !'
|
||
u'Hello\\\\u0020World !'
|
||
\end{verbatim}
|
||
|
||
The raw mode is most useful when you have to enter lots of backslashes
|
||
e.g. in regular expressions.
|
||
|
||
Apart from these standard encodings, Python provides a whole set of
|
||
other ways of creating Unicode strings on the basis of a known
|
||
encoding.
|
||
|
||
The built-in function \function{unicode()}\bifuncindex{unicode} provides
|
||
access to all registered Unicode codecs (COders and DECoders). Some of
|
||
the more well known encodings which these codecs can convert are
|
||
\emph{Latin-1}, \emph{ASCII}, \emph{UTF-8}, and \emph{UTF-16}.
|
||
The latter two are variable-length encodings that store each Unicode
|
||
character in one or more bytes. The default encoding is
|
||
normally set to ASCII, which passes through characters in the range
|
||
0 to 127 and rejects any other characters with an error.
|
||
When a Unicode string is printed, written to a file, or converted
|
||
with \function{str()}, conversion takes place using this default encoding.
|
||
|
||
\begin{verbatim}
|
||
>>> u"abc"
|
||
u'abc'
|
||
>>> str(u"abc")
|
||
'abc'
|
||
>>> u"<22><><EFBFBD>"
|
||
u'\xe4\xf6\xfc'
|
||
>>> str(u"<22><><EFBFBD>")
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1, in ?
|
||
UnicodeError: ASCII encoding error: ordinal not in range(128)
|
||
\end{verbatim}
|
||
|
||
To convert a Unicode string into an 8-bit string using a specific
|
||
encoding, Unicode objects provide an \function{encode()} method
|
||
that takes one argument, the name of the encoding. Lowercase names
|
||
for encodings are preferred.
|
||
|
||
\begin{verbatim}
|
||
>>> u"<22><><EFBFBD>".encode('utf-8')
|
||
'\xc3\xa4\xc3\xb6\xc3\xbc'
|
||
\end{verbatim}
|
||
|
||
If you have data in a specific encoding and want to produce a
|
||
corresponding Unicode string from it, you can use the
|
||
\function{unicode()} function with the encoding name as the second
|
||
argument.
|
||
|
||
\begin{verbatim}
|
||
>>> unicode('\xc3\xa4\xc3\xb6\xc3\xbc', 'utf-8')
|
||
u'\xe4\xf6\xfc'
|
||
\end{verbatim}
|
||
|
||
\subsection{Lists \label{lists}}
|
||
|
||
Python knows a number of \emph{compound} data types, used to group
|
||
together other values. The most versatile is the \emph{list}, which
|
||
can be written as a list of comma-separated values (items) between
|
||
square brackets. List items need not all have the same type.
|
||
|
||
\begin{verbatim}
|
||
>>> a = ['spam', 'eggs', 100, 1234]
|
||
>>> a
|
||
['spam', 'eggs', 100, 1234]
|
||
\end{verbatim}
|
||
|
||
Like string indices, list indices start at 0, and lists can be sliced,
|
||
concatenated and so on:
|
||
|
||
\begin{verbatim}
|
||
>>> a[0]
|
||
'spam'
|
||
>>> a[3]
|
||
1234
|
||
>>> a[-2]
|
||
100
|
||
>>> a[1:-1]
|
||
['eggs', 100]
|
||
>>> a[:2] + ['bacon', 2*2]
|
||
['spam', 'eggs', 'bacon', 4]
|
||
>>> 3*a[:3] + ['Boe!']
|
||
['spam', 'eggs', 100, 'spam', 'eggs', 100, 'spam', 'eggs', 100, 'Boe!']
|
||
\end{verbatim}
|
||
|
||
Unlike strings, which are \emph{immutable}, it is possible to change
|
||
individual elements of a list:
|
||
|
||
\begin{verbatim}
|
||
>>> a
|
||
['spam', 'eggs', 100, 1234]
|
||
>>> a[2] = a[2] + 23
|
||
>>> a
|
||
['spam', 'eggs', 123, 1234]
|
||
\end{verbatim}
|
||
|
||
Assignment to slices is also possible, and this can even change the size
|
||
of the list:
|
||
|
||
\begin{verbatim}
|
||
>>> # Replace some items:
|
||
... a[0:2] = [1, 12]
|
||
>>> a
|
||
[1, 12, 123, 1234]
|
||
>>> # Remove some:
|
||
... a[0:2] = []
|
||
>>> a
|
||
[123, 1234]
|
||
>>> # Insert some:
|
||
... a[1:1] = ['bletch', 'xyzzy']
|
||
>>> a
|
||
[123, 'bletch', 'xyzzy', 1234]
|
||
>>> a[:0] = a # Insert (a copy of) itself at the beginning
|
||
>>> a
|
||
[123, 'bletch', 'xyzzy', 1234, 123, 'bletch', 'xyzzy', 1234]
|
||
\end{verbatim}
|
||
|
||
The built-in function \function{len()} also applies to lists:
|
||
|
||
\begin{verbatim}
|
||
>>> len(a)
|
||
8
|
||
\end{verbatim}
|
||
|
||
It is possible to nest lists (create lists containing other lists),
|
||
for example:
|
||
|
||
\begin{verbatim}
|
||
>>> q = [2, 3]
|
||
>>> p = [1, q, 4]
|
||
>>> len(p)
|
||
3
|
||
>>> p[1]
|
||
[2, 3]
|
||
>>> p[1][0]
|
||
2
|
||
>>> p[1].append('xtra') # See section 5.1
|
||
>>> p
|
||
[1, [2, 3, 'xtra'], 4]
|
||
>>> q
|
||
[2, 3, 'xtra']
|
||
\end{verbatim}
|
||
|
||
Note that in the last example, \code{p[1]} and \code{q} really refer to
|
||
the same object! We'll come back to \emph{object semantics} later.
|
||
|
||
\section{First Steps Towards Programming \label{firstSteps}}
|
||
|
||
Of course, we can use Python for more complicated tasks than adding
|
||
two and two together. For instance, we can write an initial
|
||
sub-sequence of the \emph{Fibonacci} series as follows:
|
||
|
||
\begin{verbatim}
|
||
>>> # Fibonacci series:
|
||
... # the sum of two elements defines the next
|
||
... a, b = 0, 1
|
||
>>> while b < 10:
|
||
... print b
|
||
... a, b = b, a+b
|
||
...
|
||
1
|
||
1
|
||
2
|
||
3
|
||
5
|
||
8
|
||
\end{verbatim}
|
||
|
||
This example introduces several new features.
|
||
|
||
\begin{itemize}
|
||
|
||
\item
|
||
The first line contains a \emph{multiple assignment}: the variables
|
||
\code{a} and \code{b} simultaneously get the new values 0 and 1. On the
|
||
last line this is used again, demonstrating that the expressions on
|
||
the right-hand side are all evaluated first before any of the
|
||
assignments take place. The right-hand side expressions are evaluated
|
||
from the left to the right.
|
||
|
||
\item
|
||
The \keyword{while} loop executes as long as the condition (here:
|
||
\code{b < 10}) remains true. In Python, like in C, any non-zero
|
||
integer value is true; zero is false. The condition may also be a
|
||
string or list value, in fact any sequence; anything with a non-zero
|
||
length is true, empty sequences are false. The test used in the
|
||
example is a simple comparison. The standard comparison operators are
|
||
written the same as in C: \code{<} (less than), \code{>} (greater than),
|
||
\code{==} (equal to), \code{<=} (less than or equal to),
|
||
\code{>=} (greater than or equal to) and \code{!=} (not equal to).
|
||
|
||
\item
|
||
The \emph{body} of the loop is \emph{indented}: indentation is Python's
|
||
way of grouping statements. Python does not (yet!) provide an
|
||
intelligent input line editing facility, so you have to type a tab or
|
||
space(s) for each indented line. In practice you will prepare more
|
||
complicated input for Python with a text editor; most text editors have
|
||
an auto-indent facility. When a compound statement is entered
|
||
interactively, it must be followed by a blank line to indicate
|
||
completion (since the parser cannot guess when you have typed the last
|
||
line). Note that each line within a basic block must be indented by
|
||
the same amount.
|
||
|
||
\item
|
||
The \keyword{print} statement writes the value of the expression(s) it is
|
||
given. It differs from just writing the expression you want to write
|
||
(as we did earlier in the calculator examples) in the way it handles
|
||
multiple expressions and strings. Strings are printed without quotes,
|
||
and a space is inserted between items, so you can format things nicely,
|
||
like this:
|
||
|
||
\begin{verbatim}
|
||
>>> i = 256*256
|
||
>>> print 'The value of i is', i
|
||
The value of i is 65536
|
||
\end{verbatim}
|
||
|
||
A trailing comma avoids the newline after the output:
|
||
|
||
\begin{verbatim}
|
||
>>> a, b = 0, 1
|
||
>>> while b < 1000:
|
||
... print b,
|
||
... a, b = b, a+b
|
||
...
|
||
1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987
|
||
\end{verbatim}
|
||
|
||
Note that the interpreter inserts a newline before it prints the next
|
||
prompt if the last line was not completed.
|
||
|
||
\end{itemize}
|
||
|
||
|
||
\chapter{More Control Flow Tools \label{moreControl}}
|
||
|
||
Besides the \keyword{while} statement just introduced, Python knows
|
||
the usual control flow statements known from other languages, with
|
||
some twists.
|
||
|
||
\section{\keyword{if} Statements \label{if}}
|
||
|
||
Perhaps the most well-known statement type is the
|
||
\keyword{if} statement. For example:
|
||
|
||
\begin{verbatim}
|
||
>>> x = int(raw_input("Please enter a number: "))
|
||
>>> if x < 0:
|
||
... x = 0
|
||
... print 'Negative changed to zero'
|
||
... elif x == 0:
|
||
... print 'Zero'
|
||
... elif x == 1:
|
||
... print 'Single'
|
||
... else:
|
||
... print 'More'
|
||
...
|
||
\end{verbatim}
|
||
|
||
There can be zero or more \keyword{elif} parts, and the
|
||
\keyword{else} part is optional. The keyword `\keyword{elif}' is
|
||
short for `else if', and is useful to avoid excessive indentation. An
|
||
\keyword{if} \ldots\ \keyword{elif} \ldots\ \keyword{elif} \ldots\ sequence
|
||
% Weird spacings happen here if the wrapping of the source text
|
||
% gets changed in the wrong way.
|
||
is a substitute for the \keyword{switch} or
|
||
\keyword{case} statements found in other languages.
|
||
|
||
|
||
\section{\keyword{for} Statements \label{for}}
|
||
|
||
The \keyword{for}\stindex{for} statement in Python differs a bit from
|
||
what you may be used to in C or Pascal. Rather than always
|
||
iterating over an arithmetic progression of numbers (like in Pascal),
|
||
or giving the user the ability to define both the iteration step and
|
||
halting condition (as C), Python's
|
||
\keyword{for}\stindex{for} statement iterates over the items of any
|
||
sequence (e.g., a list or a string), in the order that they appear in
|
||
the sequence. For example (no pun intended):
|
||
% One suggestion was to give a real C example here, but that may only
|
||
% serve to confuse non-C programmers.
|
||
|
||
\begin{verbatim}
|
||
>>> # Measure some strings:
|
||
... a = ['cat', 'window', 'defenestrate']
|
||
>>> for x in a:
|
||
... print x, len(x)
|
||
...
|
||
cat 3
|
||
window 6
|
||
defenestrate 12
|
||
\end{verbatim}
|
||
|
||
It is not safe to modify the sequence being iterated over in the loop
|
||
(this can only happen for mutable sequence types, i.e., lists). If
|
||
you need to modify the list you are iterating over, e.g., duplicate
|
||
selected items, you must iterate over a copy. The slice notation
|
||
makes this particularly convenient:
|
||
|
||
\begin{verbatim}
|
||
>>> for x in a[:]: # make a slice copy of the entire list
|
||
... if len(x) > 6: a.insert(0, x)
|
||
...
|
||
>>> a
|
||
['defenestrate', 'cat', 'window', 'defenestrate']
|
||
\end{verbatim}
|
||
|
||
|
||
\section{The \function{range()} Function \label{range}}
|
||
|
||
If you do need to iterate over a sequence of numbers, the built-in
|
||
function \function{range()} comes in handy. It generates lists
|
||
containing arithmetic progressions, e.g.:
|
||
|
||
\begin{verbatim}
|
||
>>> range(10)
|
||
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
|
||
\end{verbatim}
|
||
|
||
The given end point is never part of the generated list;
|
||
\code{range(10)} generates a list of 10 values, exactly the legal
|
||
indices for items of a sequence of length 10. It is possible to let
|
||
the range start at another number, or to specify a different increment
|
||
(even negative; sometimes this is called the `step'):
|
||
|
||
\begin{verbatim}
|
||
>>> range(5, 10)
|
||
[5, 6, 7, 8, 9]
|
||
>>> range(0, 10, 3)
|
||
[0, 3, 6, 9]
|
||
>>> range(-10, -100, -30)
|
||
[-10, -40, -70]
|
||
\end{verbatim}
|
||
|
||
To iterate over the indices of a sequence, combine
|
||
\function{range()} and \function{len()} as follows:
|
||
|
||
\begin{verbatim}
|
||
>>> a = ['Mary', 'had', 'a', 'little', 'lamb']
|
||
>>> for i in range(len(a)):
|
||
... print i, a[i]
|
||
...
|
||
0 Mary
|
||
1 had
|
||
2 a
|
||
3 little
|
||
4 lamb
|
||
\end{verbatim}
|
||
|
||
|
||
\section{\keyword{break} and \keyword{continue} Statements, and
|
||
\keyword{else} Clauses on Loops
|
||
\label{break}}
|
||
|
||
The \keyword{break} statement, like in C, breaks out of the smallest
|
||
enclosing \keyword{for} or \keyword{while} loop.
|
||
|
||
The \keyword{continue} statement, also borrowed from C, continues
|
||
with the next iteration of the loop.
|
||
|
||
Loop statements may have an \code{else} clause; it is executed when
|
||
the loop terminates through exhaustion of the list (with
|
||
\keyword{for}) or when the condition becomes false (with
|
||
\keyword{while}), but not when the loop is terminated by a
|
||
\keyword{break} statement. This is exemplified by the following loop,
|
||
which searches for prime numbers:
|
||
|
||
\begin{verbatim}
|
||
>>> for n in range(2, 10):
|
||
... for x in range(2, n):
|
||
... if n % x == 0:
|
||
... print n, 'equals', x, '*', n/x
|
||
... break
|
||
... else:
|
||
... # loop fell through without finding a factor
|
||
... print n, 'is a prime number'
|
||
...
|
||
2 is a prime number
|
||
3 is a prime number
|
||
4 equals 2 * 2
|
||
5 is a prime number
|
||
6 equals 2 * 3
|
||
7 is a prime number
|
||
8 equals 2 * 4
|
||
9 equals 3 * 3
|
||
\end{verbatim}
|
||
|
||
|
||
\section{\keyword{pass} Statements \label{pass}}
|
||
|
||
The \keyword{pass} statement does nothing.
|
||
It can be used when a statement is required syntactically but the
|
||
program requires no action.
|
||
For example:
|
||
|
||
\begin{verbatim}
|
||
>>> while 1:
|
||
... pass # Busy-wait for keyboard interrupt
|
||
...
|
||
\end{verbatim}
|
||
|
||
|
||
\section{Defining Functions \label{functions}}
|
||
|
||
We can create a function that writes the Fibonacci series to an
|
||
arbitrary boundary:
|
||
|
||
\begin{verbatim}
|
||
>>> def fib(n): # write Fibonacci series up to n
|
||
... "Print a Fibonacci series up to n"
|
||
... a, b = 0, 1
|
||
... while b < n:
|
||
... print b,
|
||
... a, b = b, a+b
|
||
...
|
||
>>> # Now call the function we just defined:
|
||
... fib(2000)
|
||
1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597
|
||
\end{verbatim}
|
||
|
||
The keyword \keyword{def} introduces a function \emph{definition}. It
|
||
must be followed by the function name and the parenthesized list of
|
||
formal parameters. The statements that form the body of the function
|
||
start at the next line, and must be indented. The first statement of
|
||
the function body can optionally be a string literal; this string
|
||
literal is the function's \index{documentation strings}documentation
|
||
string, or \dfn{docstring}.\index{docstrings}\index{strings, documentation}
|
||
|
||
There are tools which use docstrings to automatically produce online
|
||
or printed documentation, or to let the user interactively browse
|
||
through code; it's good practice to include docstrings in code that
|
||
you write, so try to make a habit of it.
|
||
|
||
The \emph{execution} of a function introduces a new symbol table used
|
||
for the local variables of the function. More precisely, all variable
|
||
assignments in a function store the value in the local symbol table;
|
||
whereas variable references first look in the local symbol table, then
|
||
in the global symbol table, and then in the table of built-in names.
|
||
Thus, global variables cannot be directly assigned a value within a
|
||
function (unless named in a \keyword{global} statement), although
|
||
they may be referenced.
|
||
|
||
The actual parameters (arguments) to a function call are introduced in
|
||
the local symbol table of the called function when it is called; thus,
|
||
arguments are passed using \emph{call by value} (where the
|
||
\emph{value} is always an object \emph{reference}, not the value of
|
||
the object).\footnote{
|
||
Actually, \emph{call by object reference} would be a better
|
||
description, since if a mutable object is passed, the caller
|
||
will see any changes the callee makes to it (e.g., items
|
||
inserted into a list).
|
||
} When a function calls another function, a new local symbol table is
|
||
created for that call.
|
||
|
||
A function definition introduces the function name in the current
|
||
symbol table. The value of the function name
|
||
has a type that is recognized by the interpreter as a user-defined
|
||
function. This value can be assigned to another name which can then
|
||
also be used as a function. This serves as a general renaming
|
||
mechanism:
|
||
|
||
\begin{verbatim}
|
||
>>> fib
|
||
<function object at 10042ed0>
|
||
>>> f = fib
|
||
>>> f(100)
|
||
1 1 2 3 5 8 13 21 34 55 89
|
||
\end{verbatim}
|
||
|
||
You might object that \code{fib} is not a function but a procedure. In
|
||
Python, like in C, procedures are just functions that don't return a
|
||
value. In fact, technically speaking, procedures do return a value,
|
||
albeit a rather boring one. This value is called \code{None} (it's a
|
||
built-in name). Writing the value \code{None} is normally suppressed by
|
||
the interpreter if it would be the only value written. You can see it
|
||
if you really want to:
|
||
|
||
\begin{verbatim}
|
||
>>> print fib(0)
|
||
None
|
||
\end{verbatim}
|
||
|
||
It is simple to write a function that returns a list of the numbers of
|
||
the Fibonacci series, instead of printing it:
|
||
|
||
\begin{verbatim}
|
||
>>> def fib2(n): # return Fibonacci series up to n
|
||
... "Return a list containing the Fibonacci series up to n"
|
||
... result = []
|
||
... a, b = 0, 1
|
||
... while b < n:
|
||
... result.append(b) # see below
|
||
... a, b = b, a+b
|
||
... return result
|
||
...
|
||
>>> f100 = fib2(100) # call it
|
||
>>> f100 # write the result
|
||
[1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89]
|
||
\end{verbatim}
|
||
|
||
This example, as usual, demonstrates some new Python features:
|
||
|
||
\begin{itemize}
|
||
|
||
\item
|
||
The \keyword{return} statement returns with a value from a function.
|
||
\keyword{return} without an expression argument returns \code{None}.
|
||
Falling off the end of a procedure also returns \code{None}.
|
||
|
||
\item
|
||
The statement \code{result.append(b)} calls a \emph{method} of the list
|
||
object \code{result}. A method is a function that `belongs' to an
|
||
object and is named \code{obj.methodname}, where \code{obj} is some
|
||
object (this may be an expression), and \code{methodname} is the name
|
||
of a method that is defined by the object's type. Different types
|
||
define different methods. Methods of different types may have the
|
||
same name without causing ambiguity. (It is possible to define your
|
||
own object types and methods, using \emph{classes}, as discussed later
|
||
in this tutorial.)
|
||
The method \method{append()} shown in the example, is defined for
|
||
list objects; it adds a new element at the end of the list. In this
|
||
example it is equivalent to \samp{result = result + [b]}, but more
|
||
efficient.
|
||
|
||
\end{itemize}
|
||
|
||
\section{More on Defining Functions \label{defining}}
|
||
|
||
It is also possible to define functions with a variable number of
|
||
arguments. There are three forms, which can be combined.
|
||
|
||
\subsection{Default Argument Values \label{defaultArgs}}
|
||
|
||
The most useful form is to specify a default value for one or more
|
||
arguments. This creates a function that can be called with fewer
|
||
arguments than it is defined, e.g.
|
||
|
||
\begin{verbatim}
|
||
def ask_ok(prompt, retries=4, complaint='Yes or no, please!'):
|
||
while 1:
|
||
ok = raw_input(prompt)
|
||
if ok in ('y', 'ye', 'yes'): return 1
|
||
if ok in ('n', 'no', 'nop', 'nope'): return 0
|
||
retries = retries - 1
|
||
if retries < 0: raise IOError, 'refusenik user'
|
||
print complaint
|
||
\end{verbatim}
|
||
|
||
This function can be called either like this:
|
||
\code{ask_ok('Do you really want to quit?')} or like this:
|
||
\code{ask_ok('OK to overwrite the file?', 2)}.
|
||
|
||
The default values are evaluated at the point of function definition
|
||
in the \emph{defining} scope, so that e.g.
|
||
|
||
\begin{verbatim}
|
||
i = 5
|
||
def f(arg = i): print arg
|
||
i = 6
|
||
f()
|
||
\end{verbatim}
|
||
|
||
will print \code{5}.
|
||
|
||
\strong{Important warning:} The default value is evaluated only once.
|
||
This makes a difference when the default is a mutable object such as a
|
||
list or dictionary. For example, the following function accumulates
|
||
the arguments passed to it on subsequent calls:
|
||
|
||
\begin{verbatim}
|
||
def f(a, l = []):
|
||
l.append(a)
|
||
return l
|
||
print f(1)
|
||
print f(2)
|
||
print f(3)
|
||
\end{verbatim}
|
||
|
||
This will print
|
||
|
||
\begin{verbatim}
|
||
[1]
|
||
[1, 2]
|
||
[1, 2, 3]
|
||
\end{verbatim}
|
||
|
||
If you don't want the default to be shared between subsequent calls,
|
||
you can write the function like this instead:
|
||
|
||
\begin{verbatim}
|
||
def f(a, l = None):
|
||
if l is None:
|
||
l = []
|
||
l.append(a)
|
||
return l
|
||
\end{verbatim}
|
||
|
||
\subsection{Keyword Arguments \label{keywordArgs}}
|
||
|
||
Functions can also be called using
|
||
keyword arguments of the form \samp{\var{keyword} = \var{value}}. For
|
||
instance, the following function:
|
||
|
||
\begin{verbatim}
|
||
def parrot(voltage, state='a stiff', action='voom', type='Norwegian Blue'):
|
||
print "-- This parrot wouldn't", action,
|
||
print "if you put", voltage, "Volts through it."
|
||
print "-- Lovely plumage, the", type
|
||
print "-- It's", state, "!"
|
||
\end{verbatim}
|
||
|
||
could be called in any of the following ways:
|
||
|
||
\begin{verbatim}
|
||
parrot(1000)
|
||
parrot(action = 'VOOOOOM', voltage = 1000000)
|
||
parrot('a thousand', state = 'pushing up the daisies')
|
||
parrot('a million', 'bereft of life', 'jump')
|
||
\end{verbatim}
|
||
|
||
but the following calls would all be invalid:
|
||
|
||
\begin{verbatim}
|
||
parrot() # required argument missing
|
||
parrot(voltage=5.0, 'dead') # non-keyword argument following keyword
|
||
parrot(110, voltage=220) # duplicate value for argument
|
||
parrot(actor='John Cleese') # unknown keyword
|
||
\end{verbatim}
|
||
|
||
In general, an argument list must have any positional arguments
|
||
followed by any keyword arguments, where the keywords must be chosen
|
||
from the formal parameter names. It's not important whether a formal
|
||
parameter has a default value or not. No argument may receive a
|
||
value more than once --- formal parameter names corresponding to
|
||
positional arguments cannot be used as keywords in the same calls.
|
||
Here's an example that fails due to this restriction:
|
||
|
||
\begin{verbatim}
|
||
>>> def function(a):
|
||
... pass
|
||
...
|
||
>>> function(0, a=0)
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1, in ?
|
||
TypeError: keyword parameter redefined
|
||
\end{verbatim}
|
||
|
||
When a final formal parameter of the form \code{**\var{name}} is
|
||
present, it receives a dictionary containing all keyword arguments
|
||
whose keyword doesn't correspond to a formal parameter. This may be
|
||
combined with a formal parameter of the form
|
||
\code{*\var{name}} (described in the next subsection) which receives a
|
||
tuple containing the positional arguments beyond the formal parameter
|
||
list. (\code{*\var{name}} must occur before \code{**\var{name}}.)
|
||
For example, if we define a function like this:
|
||
|
||
\begin{verbatim}
|
||
def cheeseshop(kind, *arguments, **keywords):
|
||
print "-- Do you have any", kind, '?'
|
||
print "-- I'm sorry, we're all out of", kind
|
||
for arg in arguments: print arg
|
||
print '-'*40
|
||
for kw in keywords.keys(): print kw, ':', keywords[kw]
|
||
\end{verbatim}
|
||
|
||
It could be called like this:
|
||
|
||
\begin{verbatim}
|
||
cheeseshop('Limburger', "It's very runny, sir.",
|
||
"It's really very, VERY runny, sir.",
|
||
client='John Cleese',
|
||
shopkeeper='Michael Palin',
|
||
sketch='Cheese Shop Sketch')
|
||
\end{verbatim}
|
||
|
||
and of course it would print:
|
||
|
||
\begin{verbatim}
|
||
-- Do you have any Limburger ?
|
||
-- I'm sorry, we're all out of Limburger
|
||
It's very runny, sir.
|
||
It's really very, VERY runny, sir.
|
||
----------------------------------------
|
||
client : John Cleese
|
||
shopkeeper : Michael Palin
|
||
sketch : Cheese Shop Sketch
|
||
\end{verbatim}
|
||
|
||
|
||
\subsection{Arbitrary Argument Lists \label{arbitraryArgs}}
|
||
|
||
Finally, the least frequently used option is to specify that a
|
||
function can be called with an arbitrary number of arguments. These
|
||
arguments will be wrapped up in a tuple. Before the variable number
|
||
of arguments, zero or more normal arguments may occur.
|
||
|
||
\begin{verbatim}
|
||
def fprintf(file, format, *args):
|
||
file.write(format % args)
|
||
\end{verbatim}
|
||
|
||
|
||
\subsection{Lambda Forms \label{lambda}}
|
||
|
||
By popular demand, a few features commonly found in functional
|
||
programming languages and Lisp have been added to Python. With the
|
||
\keyword{lambda} keyword, small anonymous functions can be created.
|
||
Here's a function that returns the sum of its two arguments:
|
||
\samp{lambda a, b: a+b}. Lambda forms can be used wherever function
|
||
objects are required. They are syntactically restricted to a single
|
||
expression. Semantically, they are just syntactic sugar for a normal
|
||
function definition. Like nested function definitions, lambda forms
|
||
cannot reference variables from the containing scope, but this can be
|
||
overcome through the judicious use of default argument values, e.g.
|
||
|
||
\begin{verbatim}
|
||
>>> def make_incrementor(n):
|
||
... return lambda x, incr=n: x+incr
|
||
...
|
||
>>> f = make_incrementor(42)
|
||
>>> f(0)
|
||
42
|
||
>>> f(1)
|
||
43
|
||
>>>
|
||
\end{verbatim}
|
||
|
||
|
||
\subsection{Documentation Strings \label{docstrings}}
|
||
|
||
There are emerging conventions about the content and formatting of
|
||
documentation strings.
|
||
\index{docstrings}\index{documentation strings}
|
||
\index{strings, documentation}
|
||
|
||
The first line should always be a short, concise summary of the
|
||
object's purpose. For brevity, it should not explicitly state the
|
||
object's name or type, since these are available by other means
|
||
(except if the name happens to be a verb describing a function's
|
||
operation). This line should begin with a capital letter and end with
|
||
a period.
|
||
|
||
If there are more lines in the documentation string, the second line
|
||
should be blank, visually separating the summary from the rest of the
|
||
description. The following lines should be one or more paragraphs
|
||
describing the object's calling conventions, its side effects, etc.
|
||
|
||
The Python parser does not strip indentation from multi-line string
|
||
literals in Python, so tools that process documentation have to strip
|
||
indentation if desired. This is done using the following convention.
|
||
The first non-blank line \emph{after} the first line of the string
|
||
determines the amount of indentation for the entire documentation
|
||
string. (We can't use the first line since it is generally adjacent
|
||
to the string's opening quotes so its indentation is not apparent in
|
||
the string literal.) Whitespace ``equivalent'' to this indentation is
|
||
then stripped from the start of all lines of the string. Lines that
|
||
are indented less should not occur, but if they occur all their
|
||
leading whitespace should be stripped. Equivalence of whitespace
|
||
should be tested after expansion of tabs (to 8 spaces, normally).
|
||
|
||
Here is an example of a multi-line docstring:
|
||
|
||
\begin{verbatim}
|
||
>>> def my_function():
|
||
... """Do nothing, but document it.
|
||
...
|
||
... No, really, it doesn't do anything.
|
||
... """
|
||
... pass
|
||
...
|
||
>>> print my_function.__doc__
|
||
Do nothing, but document it.
|
||
|
||
No, really, it doesn't do anything.
|
||
|
||
\end{verbatim}
|
||
|
||
|
||
|
||
\chapter{Data Structures \label{structures}}
|
||
|
||
This chapter describes some things you've learned about already in
|
||
more detail, and adds some new things as well.
|
||
|
||
|
||
\section{More on Lists \label{moreLists}}
|
||
|
||
The list data type has some more methods. Here are all of the methods
|
||
of list objects:
|
||
|
||
\begin{description}
|
||
|
||
\item[\code{append(x)}]
|
||
Add an item to the end of the list;
|
||
equivalent to \code{a[len(a):] = [x]}.
|
||
|
||
\item[\code{extend(L)}]
|
||
Extend the list by appending all the items in the given list;
|
||
equivalent to \code{a[len(a):] = L}.
|
||
|
||
\item[\code{insert(i, x)}]
|
||
Insert an item at a given position. The first argument is the index of
|
||
the element before which to insert, so \code{a.insert(0, x)} inserts at
|
||
the front of the list, and \code{a.insert(len(a), x)} is equivalent to
|
||
\code{a.append(x)}.
|
||
|
||
\item[\code{remove(x)}]
|
||
Remove the first item from the list whose value is \code{x}.
|
||
It is an error if there is no such item.
|
||
|
||
\item[\code{pop(\optional{i})}]
|
||
Remove the item at the given position in the list, and return it. If
|
||
no index is specified, \code{a.pop()} returns the last item in the
|
||
list. The item is also removed from the list.
|
||
|
||
\item[\code{index(x)}]
|
||
Return the index in the list of the first item whose value is \code{x}.
|
||
It is an error if there is no such item.
|
||
|
||
\item[\code{count(x)}]
|
||
Return the number of times \code{x} appears in the list.
|
||
|
||
\item[\code{sort()}]
|
||
Sort the items of the list, in place.
|
||
|
||
\item[\code{reverse()}]
|
||
Reverse the elements of the list, in place.
|
||
|
||
\end{description}
|
||
|
||
An example that uses most of the list methods:
|
||
|
||
\begin{verbatim}
|
||
>>> a = [66.6, 333, 333, 1, 1234.5]
|
||
>>> print a.count(333), a.count(66.6), a.count('x')
|
||
2 1 0
|
||
>>> a.insert(2, -1)
|
||
>>> a.append(333)
|
||
>>> a
|
||
[66.6, 333, -1, 333, 1, 1234.5, 333]
|
||
>>> a.index(333)
|
||
1
|
||
>>> a.remove(333)
|
||
>>> a
|
||
[66.6, -1, 333, 1, 1234.5, 333]
|
||
>>> a.reverse()
|
||
>>> a
|
||
[333, 1234.5, 1, 333, -1, 66.6]
|
||
>>> a.sort()
|
||
>>> a
|
||
[-1, 1, 66.6, 333, 333, 1234.5]
|
||
\end{verbatim}
|
||
|
||
|
||
\subsection{Using Lists as Stacks \label{lists-as-stacks}}
|
||
\sectionauthor{Ka-Ping Yee}{ping@lfw.org}
|
||
|
||
The list methods make it very easy to use a list as a stack, where the
|
||
last element added is the first element retrieved (``last-in,
|
||
first-out''). To add an item to the top of the stack, use
|
||
\method{append()}. To retrieve an item from the top of the stack, use
|
||
\method{pop()} without an explicit index. For example:
|
||
|
||
\begin{verbatim}
|
||
>>> stack = [3, 4, 5]
|
||
>>> stack.append(6)
|
||
>>> stack.append(7)
|
||
>>> stack
|
||
[3, 4, 5, 6, 7]
|
||
>>> stack.pop()
|
||
7
|
||
>>> stack
|
||
[3, 4, 5, 6]
|
||
>>> stack.pop()
|
||
6
|
||
>>> stack.pop()
|
||
5
|
||
>>> stack
|
||
[3, 4]
|
||
\end{verbatim}
|
||
|
||
|
||
\subsection{Using Lists as Queues \label{lists-as-queues}}
|
||
\sectionauthor{Ka-Ping Yee}{ping@lfw.org}
|
||
|
||
You can also use a list conveniently as a queue, where the first
|
||
element added is the first element retrieved (``first-in,
|
||
first-out''). To add an item to the back of the queue, use
|
||
\method{append()}. To retrieve an item from the front of the queue,
|
||
use \method{pop()} with \code{0} as the index. For example:
|
||
|
||
\begin{verbatim}
|
||
>>> queue = ["Eric", "John", "Michael"]
|
||
>>> queue.append("Terry") # Terry arrives
|
||
>>> queue.append("Graham") # Graham arrives
|
||
>>> queue.pop(0)
|
||
'Eric'
|
||
>>> queue.pop(0)
|
||
'John'
|
||
>>> queue
|
||
['Michael', 'Terry', 'Graham']
|
||
\end{verbatim}
|
||
|
||
|
||
\subsection{Functional Programming Tools \label{functional}}
|
||
|
||
There are three built-in functions that are very useful when used with
|
||
lists: \function{filter()}, \function{map()}, and \function{reduce()}.
|
||
|
||
\samp{filter(\var{function}, \var{sequence})} returns a sequence (of
|
||
the same type, if possible) consisting of those items from the
|
||
sequence for which \code{\var{function}(\var{item})} is true. For
|
||
example, to compute some primes:
|
||
|
||
\begin{verbatim}
|
||
>>> def f(x): return x % 2 != 0 and x % 3 != 0
|
||
...
|
||
>>> filter(f, range(2, 25))
|
||
[5, 7, 11, 13, 17, 19, 23]
|
||
\end{verbatim}
|
||
|
||
\samp{map(\var{function}, \var{sequence})} calls
|
||
\code{\var{function}(\var{item})} for each of the sequence's items and
|
||
returns a list of the return values. For example, to compute some
|
||
cubes:
|
||
|
||
\begin{verbatim}
|
||
>>> def cube(x): return x*x*x
|
||
...
|
||
>>> map(cube, range(1, 11))
|
||
[1, 8, 27, 64, 125, 216, 343, 512, 729, 1000]
|
||
\end{verbatim}
|
||
|
||
More than one sequence may be passed; the function must then have as
|
||
many arguments as there are sequences and is called with the
|
||
corresponding item from each sequence (or \code{None} if some sequence
|
||
is shorter than another). If \code{None} is passed for the function,
|
||
a function returning its argument(s) is substituted.
|
||
|
||
Combining these two special cases, we see that
|
||
\samp{map(None, \var{list1}, \var{list2})} is a convenient way of
|
||
turning a pair of lists into a list of pairs. For example:
|
||
|
||
\begin{verbatim}
|
||
>>> seq = range(8)
|
||
>>> def square(x): return x*x
|
||
...
|
||
>>> map(None, seq, map(square, seq))
|
||
[(0, 0), (1, 1), (2, 4), (3, 9), (4, 16), (5, 25), (6, 36), (7, 49)]
|
||
\end{verbatim}
|
||
|
||
\samp{reduce(\var{func}, \var{sequence})} returns a single value
|
||
constructed by calling the binary function \var{func} on the first two
|
||
items of the sequence, then on the result and the next item, and so
|
||
on. For example, to compute the sum of the numbers 1 through 10:
|
||
|
||
\begin{verbatim}
|
||
>>> def add(x,y): return x+y
|
||
...
|
||
>>> reduce(add, range(1, 11))
|
||
55
|
||
\end{verbatim}
|
||
|
||
If there's only one item in the sequence, its value is returned; if
|
||
the sequence is empty, an exception is raised.
|
||
|
||
A third argument can be passed to indicate the starting value. In this
|
||
case the starting value is returned for an empty sequence, and the
|
||
function is first applied to the starting value and the first sequence
|
||
item, then to the result and the next item, and so on. For example,
|
||
|
||
\begin{verbatim}
|
||
>>> def sum(seq):
|
||
... def add(x,y): return x+y
|
||
... return reduce(add, seq, 0)
|
||
...
|
||
>>> sum(range(1, 11))
|
||
55
|
||
>>> sum([])
|
||
0
|
||
\end{verbatim}
|
||
|
||
|
||
\subsection{List Comprehensions}
|
||
|
||
List comprehensions provide a concise way to create lists without resorting
|
||
to use of \function{map()}, \function{filter()} and/or \keyword{lambda}.
|
||
The resulting list definition tends often to be clearer than lists built
|
||
using those constructs. Each list comprehension consists of an expression
|
||
following by a \keyword{for} clause, then zero or more \keyword{for} or
|
||
\keyword{if} clauses. The result will be a list resulting from evaluating
|
||
the expression in the context of the \keyword{for} and \keyword{if} clauses
|
||
which follow it. If the expression would evaluate to a tuple, it must be
|
||
parenthesized.
|
||
|
||
\begin{verbatim}
|
||
>>> freshfruit = [' banana', ' loganberry ', 'passion fruit ']
|
||
>>> [weapon.strip() for weapon in freshfruit]
|
||
['banana', 'loganberry', 'passion fruit']
|
||
>>> vec = [2, 4, 6]
|
||
>>> [3*x for x in vec]
|
||
[6, 12, 18]
|
||
>>> [3*x for x in vec if x > 3]
|
||
[12, 18]
|
||
>>> [3*x for x in vec if x < 2]
|
||
[]
|
||
>>> [{x: x**2} for x in vec]
|
||
[{2: 4}, {4: 16}, {6: 36}]
|
||
>>> [[x,x**2] for x in vec]
|
||
[[2, 4], [4, 16], [6, 36]]
|
||
>>> [x, x**2 for x in vec] # error - parens required for tuples
|
||
File "<stdin>", line 1
|
||
[x, x**2 for x in vec]
|
||
^
|
||
SyntaxError: invalid syntax
|
||
>>> [(x, x**2) for x in vec]
|
||
[(2, 4), (4, 16), (6, 36)]
|
||
>>> vec1 = [2, 4, 6]
|
||
>>> vec2 = [4, 3, -9]
|
||
>>> [x*y for x in vec1 for y in vec2]
|
||
[8, 6, -18, 16, 12, -36, 24, 18, -54]
|
||
>>> [x+y for x in vec1 for y in vec2]
|
||
[6, 5, -7, 8, 7, -5, 10, 9, -3]
|
||
\end{verbatim}
|
||
|
||
|
||
\section{The \keyword{del} statement \label{del}}
|
||
|
||
There is a way to remove an item from a list given its index instead
|
||
of its value: the \keyword{del} statement. This can also be used to
|
||
remove slices from a list (which we did earlier by assignment of an
|
||
empty list to the slice). For example:
|
||
|
||
\begin{verbatim}
|
||
>>> a
|
||
[-1, 1, 66.6, 333, 333, 1234.5]
|
||
>>> del a[0]
|
||
>>> a
|
||
[1, 66.6, 333, 333, 1234.5]
|
||
>>> del a[2:4]
|
||
>>> a
|
||
[1, 66.6, 1234.5]
|
||
\end{verbatim}
|
||
|
||
\keyword{del} can also be used to delete entire variables:
|
||
|
||
\begin{verbatim}
|
||
>>> del a
|
||
\end{verbatim}
|
||
|
||
Referencing the name \code{a} hereafter is an error (at least until
|
||
another value is assigned to it). We'll find other uses for
|
||
\keyword{del} later.
|
||
|
||
|
||
\section{Tuples and Sequences \label{tuples}}
|
||
|
||
We saw that lists and strings have many common properties, e.g.,
|
||
indexing and slicing operations. They are two examples of
|
||
\emph{sequence} data types. Since Python is an evolving language,
|
||
other sequence data types may be added. There is also another
|
||
standard sequence data type: the \emph{tuple}.
|
||
|
||
A tuple consists of a number of values separated by commas, for
|
||
instance:
|
||
|
||
\begin{verbatim}
|
||
>>> t = 12345, 54321, 'hello!'
|
||
>>> t[0]
|
||
12345
|
||
>>> t
|
||
(12345, 54321, 'hello!')
|
||
>>> # Tuples may be nested:
|
||
... u = t, (1, 2, 3, 4, 5)
|
||
>>> u
|
||
((12345, 54321, 'hello!'), (1, 2, 3, 4, 5))
|
||
\end{verbatim}
|
||
|
||
As you see, on output tuples are alway enclosed in parentheses, so
|
||
that nested tuples are interpreted correctly; they may be input with
|
||
or without surrounding parentheses, although often parentheses are
|
||
necessary anyway (if the tuple is part of a larger expression).
|
||
|
||
Tuples have many uses, e.g., (x, y) coordinate pairs, employee records
|
||
from a database, etc. Tuples, like strings, are immutable: it is not
|
||
possible to assign to the individual items of a tuple (you can
|
||
simulate much of the same effect with slicing and concatenation,
|
||
though). It is also possible to create tuples which contain mutable
|
||
objects, such as lists.
|
||
|
||
A special problem is the construction of tuples containing 0 or 1
|
||
items: the syntax has some extra quirks to accommodate these. Empty
|
||
tuples are constructed by an empty pair of parentheses; a tuple with
|
||
one item is constructed by following a value with a comma
|
||
(it is not sufficient to enclose a single value in parentheses).
|
||
Ugly, but effective. For example:
|
||
|
||
\begin{verbatim}
|
||
>>> empty = ()
|
||
>>> singleton = 'hello', # <-- note trailing comma
|
||
>>> len(empty)
|
||
0
|
||
>>> len(singleton)
|
||
1
|
||
>>> singleton
|
||
('hello',)
|
||
\end{verbatim}
|
||
|
||
The statement \code{t = 12345, 54321, 'hello!'} is an example of
|
||
\emph{tuple packing}: the values \code{12345}, \code{54321} and
|
||
\code{'hello!'} are packed together in a tuple. The reverse operation
|
||
is also possible, e.g.:
|
||
|
||
\begin{verbatim}
|
||
>>> x, y, z = t
|
||
\end{verbatim}
|
||
|
||
This is called, appropriately enough, \emph{sequence unpacking}.
|
||
Sequence unpacking requires that the list of variables on the left
|
||
have the same number of elements as the length of the sequence. Note
|
||
that multiple assignment is really just a combination of tuple packing
|
||
and sequence unpacking!
|
||
|
||
There is a small bit of asymmetry here: packing multiple values
|
||
always creates a tuple, and unpacking works for any sequence.
|
||
|
||
% XXX Add a bit on the difference between tuples and lists.
|
||
|
||
|
||
\section{Dictionaries \label{dictionaries}}
|
||
|
||
Another useful data type built into Python is the \emph{dictionary}.
|
||
Dictionaries are sometimes found in other languages as ``associative
|
||
memories'' or ``associative arrays''. Unlike sequences, which are
|
||
indexed by a range of numbers, dictionaries are indexed by \emph{keys},
|
||
which can be any immutable type; strings and numbers can always be
|
||
keys. Tuples can be used as keys if they contain only strings,
|
||
numbers, or tuples; if a tuple contains any mutable object either
|
||
directly or indirectly, it cannot be used as a key. You can't use
|
||
lists as keys, since lists can be modified in place using their
|
||
\method{append()} and \method{extend()} methods, as well as slice and
|
||
indexed assignments.
|
||
|
||
It is best to think of a dictionary as an unordered set of
|
||
\emph{key: value} pairs, with the requirement that the keys are unique
|
||
(within one dictionary).
|
||
A pair of braces creates an empty dictionary: \code{\{\}}.
|
||
Placing a comma-separated list of key:value pairs within the
|
||
braces adds initial key:value pairs to the dictionary; this is also the
|
||
way dictionaries are written on output.
|
||
|
||
The main operations on a dictionary are storing a value with some key
|
||
and extracting the value given the key. It is also possible to delete
|
||
a key:value pair
|
||
with \code{del}.
|
||
If you store using a key that is already in use, the old value
|
||
associated with that key is forgotten. It is an error to extract a
|
||
value using a non-existent key.
|
||
|
||
The \code{keys()} method of a dictionary object returns a list of all
|
||
the keys used in the dictionary, in random order (if you want it
|
||
sorted, just apply the \code{sort()} method to the list of keys). To
|
||
check whether a single key is in the dictionary, use the
|
||
\code{has_key()} method of the dictionary.
|
||
|
||
Here is a small example using a dictionary:
|
||
|
||
\begin{verbatim}
|
||
>>> tel = {'jack': 4098, 'sape': 4139}
|
||
>>> tel['guido'] = 4127
|
||
>>> tel
|
||
{'sape': 4139, 'guido': 4127, 'jack': 4098}
|
||
>>> tel['jack']
|
||
4098
|
||
>>> del tel['sape']
|
||
>>> tel['irv'] = 4127
|
||
>>> tel
|
||
{'guido': 4127, 'irv': 4127, 'jack': 4098}
|
||
>>> tel.keys()
|
||
['guido', 'irv', 'jack']
|
||
>>> tel.has_key('guido')
|
||
1
|
||
\end{verbatim}
|
||
|
||
\section{More on Conditions \label{conditions}}
|
||
|
||
The conditions used in \code{while} and \code{if} statements above can
|
||
contain other operators besides comparisons.
|
||
|
||
The comparison operators \code{in} and \code{not in} check whether a value
|
||
occurs (does not occur) in a sequence. The operators \code{is} and
|
||
\code{is not} compare whether two objects are really the same object; this
|
||
only matters for mutable objects like lists. All comparison operators
|
||
have the same priority, which is lower than that of all numerical
|
||
operators.
|
||
|
||
Comparisons can be chained: e.g., \code{a < b == c} tests whether
|
||
\code{a} is less than \code{b} and moreover \code{b} equals \code{c}.
|
||
|
||
Comparisons may be combined by the Boolean operators \code{and} and
|
||
\code{or}, and the outcome of a comparison (or of any other Boolean
|
||
expression) may be negated with \code{not}. These all have lower
|
||
priorities than comparison operators again; between them, \code{not} has
|
||
the highest priority, and \code{or} the lowest, so that
|
||
\code{A and not B or C} is equivalent to \code{(A and (not B)) or C}. Of
|
||
course, parentheses can be used to express the desired composition.
|
||
|
||
The Boolean operators \code{and} and \code{or} are so-called
|
||
\emph{shortcut} operators: their arguments are evaluated from left to
|
||
right, and evaluation stops as soon as the outcome is determined.
|
||
E.g., if \code{A} and \code{C} are true but \code{B} is false, \code{A
|
||
and B and C} does not evaluate the expression C. In general, the
|
||
return value of a shortcut operator, when used as a general value and
|
||
not as a Boolean, is the last evaluated argument.
|
||
|
||
It is possible to assign the result of a comparison or other Boolean
|
||
expression to a variable. For example,
|
||
|
||
\begin{verbatim}
|
||
>>> string1, string2, string3 = '', 'Trondheim', 'Hammer Dance'
|
||
>>> non_null = string1 or string2 or string3
|
||
>>> non_null
|
||
'Trondheim'
|
||
\end{verbatim}
|
||
|
||
Note that in Python, unlike C, assignment cannot occur inside expressions.
|
||
C programmers may grumble about this, but it avoids a common class of
|
||
problems encountered in C programs: typing \code{=} in an expression when
|
||
\code{==} was intended.
|
||
|
||
|
||
\section{Comparing Sequences and Other Types \label{comparing}}
|
||
|
||
Sequence objects may be compared to other objects with the same
|
||
sequence type. The comparison uses \emph{lexicographical} ordering:
|
||
first the first two items are compared, and if they differ this
|
||
determines the outcome of the comparison; if they are equal, the next
|
||
two items are compared, and so on, until either sequence is exhausted.
|
||
If two items to be compared are themselves sequences of the same type,
|
||
the lexicographical comparison is carried out recursively. If all
|
||
items of two sequences compare equal, the sequences are considered
|
||
equal. If one sequence is an initial sub-sequence of the other, the
|
||
shorter sequence is the smaller one. Lexicographical ordering for
|
||
strings uses the \ASCII{} ordering for individual characters. Some
|
||
examples of comparisons between sequences with the same types:
|
||
|
||
\begin{verbatim}
|
||
(1, 2, 3) < (1, 2, 4)
|
||
[1, 2, 3] < [1, 2, 4]
|
||
'ABC' < 'C' < 'Pascal' < 'Python'
|
||
(1, 2, 3, 4) < (1, 2, 4)
|
||
(1, 2) < (1, 2, -1)
|
||
(1, 2, 3) == (1.0, 2.0, 3.0)
|
||
(1, 2, ('aa', 'ab')) < (1, 2, ('abc', 'a'), 4)
|
||
\end{verbatim}
|
||
|
||
Note that comparing objects of different types is legal. The outcome
|
||
is deterministic but arbitrary: the types are ordered by their name.
|
||
Thus, a list is always smaller than a string, a string is always
|
||
smaller than a tuple, etc. Mixed numeric types are compared according
|
||
to their numeric value, so 0 equals 0.0, etc.\footnote{
|
||
The rules for comparing objects of different types should
|
||
not be relied upon; they may change in a future version of
|
||
the language.
|
||
}
|
||
|
||
|
||
\chapter{Modules \label{modules}}
|
||
|
||
If you quit from the Python interpreter and enter it again, the
|
||
definitions you have made (functions and variables) are lost.
|
||
Therefore, if you want to write a somewhat longer program, you are
|
||
better off using a text editor to prepare the input for the interpreter
|
||
and running it with that file as input instead. This is known as creating a
|
||
\emph{script}. As your program gets longer, you may want to split it
|
||
into several files for easier maintenance. You may also want to use a
|
||
handy function that you've written in several programs without copying
|
||
its definition into each program.
|
||
|
||
To support this, Python has a way to put definitions in a file and use
|
||
them in a script or in an interactive instance of the interpreter.
|
||
Such a file is called a \emph{module}; definitions from a module can be
|
||
\emph{imported} into other modules or into the \emph{main} module (the
|
||
collection of variables that you have access to in a script
|
||
executed at the top level
|
||
and in calculator mode).
|
||
|
||
A module is a file containing Python definitions and statements. The
|
||
file name is the module name with the suffix \file{.py} appended. Within
|
||
a module, the module's name (as a string) is available as the value of
|
||
the global variable \code{__name__}. For instance, use your favorite text
|
||
editor to create a file called \file{fibo.py} in the current directory
|
||
with the following contents:
|
||
|
||
\begin{verbatim}
|
||
# Fibonacci numbers module
|
||
|
||
def fib(n): # write Fibonacci series up to n
|
||
a, b = 0, 1
|
||
while b < n:
|
||
print b,
|
||
a, b = b, a+b
|
||
|
||
def fib2(n): # return Fibonacci series up to n
|
||
result = []
|
||
a, b = 0, 1
|
||
while b < n:
|
||
result.append(b)
|
||
a, b = b, a+b
|
||
return result
|
||
\end{verbatim}
|
||
|
||
Now enter the Python interpreter and import this module with the
|
||
following command:
|
||
|
||
\begin{verbatim}
|
||
>>> import fibo
|
||
\end{verbatim}
|
||
|
||
This does not enter the names of the functions defined in \code{fibo}
|
||
directly in the current symbol table; it only enters the module name
|
||
\code{fibo} there.
|
||
Using the module name you can access the functions:
|
||
|
||
\begin{verbatim}
|
||
>>> fibo.fib(1000)
|
||
1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987
|
||
>>> fibo.fib2(100)
|
||
[1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89]
|
||
>>> fibo.__name__
|
||
'fibo'
|
||
\end{verbatim}
|
||
|
||
If you intend to use a function often you can assign it to a local name:
|
||
|
||
\begin{verbatim}
|
||
>>> fib = fibo.fib
|
||
>>> fib(500)
|
||
1 1 2 3 5 8 13 21 34 55 89 144 233 377
|
||
\end{verbatim}
|
||
|
||
|
||
\section{More on Modules \label{moreModules}}
|
||
|
||
A module can contain executable statements as well as function
|
||
definitions.
|
||
These statements are intended to initialize the module.
|
||
They are executed only the
|
||
\emph{first} time the module is imported somewhere.\footnote{
|
||
In fact function definitions are also `statements' that are
|
||
`executed'; the execution enters the function name in the
|
||
module's global symbol table.
|
||
}
|
||
|
||
Each module has its own private symbol table, which is used as the
|
||
global symbol table by all functions defined in the module.
|
||
Thus, the author of a module can use global variables in the module
|
||
without worrying about accidental clashes with a user's global
|
||
variables.
|
||
On the other hand, if you know what you are doing you can touch a
|
||
module's global variables with the same notation used to refer to its
|
||
functions,
|
||
\code{modname.itemname}.
|
||
|
||
Modules can import other modules. It is customary but not required to
|
||
place all \keyword{import} statements at the beginning of a module (or
|
||
script, for that matter). The imported module names are placed in the
|
||
importing module's global symbol table.
|
||
|
||
There is a variant of the \keyword{import} statement that imports
|
||
names from a module directly into the importing module's symbol
|
||
table. For example:
|
||
|
||
\begin{verbatim}
|
||
>>> from fibo import fib, fib2
|
||
>>> fib(500)
|
||
1 1 2 3 5 8 13 21 34 55 89 144 233 377
|
||
\end{verbatim}
|
||
|
||
This does not introduce the module name from which the imports are taken
|
||
in the local symbol table (so in the example, \code{fibo} is not
|
||
defined).
|
||
|
||
There is even a variant to import all names that a module defines:
|
||
|
||
\begin{verbatim}
|
||
>>> from fibo import *
|
||
>>> fib(500)
|
||
1 1 2 3 5 8 13 21 34 55 89 144 233 377
|
||
\end{verbatim}
|
||
|
||
This imports all names except those beginning with an underscore
|
||
(\code{_}).
|
||
|
||
|
||
\subsection{The Module Search Path \label{searchPath}}
|
||
|
||
\indexiii{module}{search}{path}
|
||
When a module named \module{spam} is imported, the interpreter searches
|
||
for a file named \file{spam.py} in the current directory,
|
||
and then in the list of directories specified by
|
||
the environment variable \envvar{PYTHONPATH}. This has the same syntax as
|
||
the shell variable \envvar{PATH}, i.e., a list of
|
||
directory names. When \envvar{PYTHONPATH} is not set, or when the file
|
||
is not found there, the search continues in an installation-dependent
|
||
default path; on \UNIX{}, this is usually \file{.:/usr/local/lib/python}.
|
||
|
||
Actually, modules are searched in the list of directories given by the
|
||
variable \code{sys.path} which is initialized from the directory
|
||
containing the input script (or the current directory),
|
||
\envvar{PYTHONPATH} and the installation-dependent default. This allows
|
||
Python programs that know what they're doing to modify or replace the
|
||
module search path. See the section on Standard Modules later.
|
||
|
||
\subsection{``Compiled'' Python files}
|
||
|
||
As an important speed-up of the start-up time for short programs that
|
||
use a lot of standard modules, if a file called \file{spam.pyc} exists
|
||
in the directory where \file{spam.py} is found, this is assumed to
|
||
contain an already-``byte-compiled'' version of the module \module{spam}.
|
||
The modification time of the version of \file{spam.py} used to create
|
||
\file{spam.pyc} is recorded in \file{spam.pyc}, and the
|
||
\file{.pyc} file is ignored if these don't match.
|
||
|
||
Normally, you don't need to do anything to create the
|
||
\file{spam.pyc} file. Whenever \file{spam.py} is successfully
|
||
compiled, an attempt is made to write the compiled version to
|
||
\file{spam.pyc}. It is not an error if this attempt fails; if for any
|
||
reason the file is not written completely, the resulting
|
||
\file{spam.pyc} file will be recognized as invalid and thus ignored
|
||
later. The contents of the \file{spam.pyc} file are platform
|
||
independent, so a Python module directory can be shared by machines of
|
||
different architectures.
|
||
|
||
Some tips for experts:
|
||
|
||
\begin{itemize}
|
||
|
||
\item
|
||
When the Python interpreter is invoked with the \programopt{-O} flag,
|
||
optimized code is generated and stored in \file{.pyo} files.
|
||
The optimizer currently doesn't help much; it only removes
|
||
\keyword{assert} statements and \code{SET_LINENO} instructions.
|
||
When \programopt{-O} is used, \emph{all} bytecode is optimized;
|
||
\code{.pyc} files are ignored and \code{.py} files are compiled to
|
||
optimized bytecode.
|
||
|
||
\item
|
||
Passing two \programopt{-O} flags to the Python interpreter
|
||
(\programopt{-OO}) will cause the bytecode compiler to perform
|
||
optimizations that could in some rare cases result in malfunctioning
|
||
programs. Currently only \code{__doc__} strings are removed from the
|
||
bytecode, resulting in more compact \file{.pyo} files. Since some
|
||
programs may rely on having these available, you should only use this
|
||
option if you know what you're doing.
|
||
|
||
\item
|
||
A program doesn't run any faster when it is read from a \file{.pyc} or
|
||
\file{.pyo} file than when it is read from a \file{.py} file; the only
|
||
thing that's faster about \file{.pyc} or \file{.pyo} files is the
|
||
speed with which they are loaded.
|
||
|
||
\item
|
||
When a script is run by giving its name on the command line, the
|
||
bytecode for the script is never written to a \file{.pyc} or
|
||
\file{.pyo} file. Thus, the startup time of a script may be reduced
|
||
by moving most of its code to a module and having a small bootstrap
|
||
script that imports that module. It is also possible to name a
|
||
\file{.pyc} or \file{.pyo} file directly on the command line.
|
||
|
||
\item
|
||
It is possible to have a file called \file{spam.pyc} (or
|
||
\file{spam.pyo} when \programopt{-O} is used) without a file
|
||
\file{spam.py} for the same module. This can be used to distribute a
|
||
library of Python code in a form that is moderately hard to reverse
|
||
engineer.
|
||
|
||
\item
|
||
The module \module{compileall}\refstmodindex{compileall} can create
|
||
\file{.pyc} files (or \file{.pyo} files when \programopt{-O} is used) for
|
||
all modules in a directory.
|
||
|
||
\end{itemize}
|
||
|
||
|
||
\section{Standard Modules \label{standardModules}}
|
||
|
||
Python comes with a library of standard modules, described in a separate
|
||
document, the \citetitle[../lib/lib.html]{Python Library Reference}
|
||
(``Library Reference'' hereafter). Some modules are built into the
|
||
interpreter; these provide access to operations that are not part of
|
||
the core of the language but are nevertheless built in, either for
|
||
efficiency or to provide access to operating system primitives such as
|
||
system calls. The set of such modules is a configuration option; e.g.,
|
||
the \module{amoeba} module is only provided on systems that somehow
|
||
support Amoeba primitives. One particular module deserves some
|
||
attention: \module{sys}\refstmodindex{sys}, which is built into every
|
||
Python interpreter. The variables \code{sys.ps1} and
|
||
\code{sys.ps2} define the strings used as primary and secondary
|
||
prompts:
|
||
|
||
\begin{verbatim}
|
||
>>> import sys
|
||
>>> sys.ps1
|
||
'>>> '
|
||
>>> sys.ps2
|
||
'... '
|
||
>>> sys.ps1 = 'C> '
|
||
C> print 'Yuck!'
|
||
Yuck!
|
||
C>
|
||
\end{verbatim}
|
||
|
||
These two variables are only defined if the interpreter is in
|
||
interactive mode.
|
||
|
||
The variable \code{sys.path} is a list of strings that determine the
|
||
interpreter's search path for modules. It is initialized to a default
|
||
path taken from the environment variable \envvar{PYTHONPATH}, or from
|
||
a built-in default if \envvar{PYTHONPATH} is not set. You can modify
|
||
it using standard list operations, e.g.:
|
||
|
||
\begin{verbatim}
|
||
>>> import sys
|
||
>>> sys.path.append('/ufs/guido/lib/python')
|
||
\end{verbatim}
|
||
|
||
\section{The \function{dir()} Function \label{dir}}
|
||
|
||
The built-in function \function{dir()} is used to find out which names
|
||
a module defines. It returns a sorted list of strings:
|
||
|
||
\begin{verbatim}
|
||
>>> import fibo, sys
|
||
>>> dir(fibo)
|
||
['__name__', 'fib', 'fib2']
|
||
>>> dir(sys)
|
||
['__name__', 'argv', 'builtin_module_names', 'copyright', 'exit',
|
||
'maxint', 'modules', 'path', 'ps1', 'ps2', 'setprofile', 'settrace',
|
||
'stderr', 'stdin', 'stdout', 'version']
|
||
\end{verbatim}
|
||
|
||
Without arguments, \function{dir()} lists the names you have defined
|
||
currently:
|
||
|
||
\begin{verbatim}
|
||
>>> a = [1, 2, 3, 4, 5]
|
||
>>> import fibo, sys
|
||
>>> fib = fibo.fib
|
||
>>> dir()
|
||
['__name__', 'a', 'fib', 'fibo', 'sys']
|
||
\end{verbatim}
|
||
|
||
Note that it lists all types of names: variables, modules, functions, etc.
|
||
|
||
\function{dir()} does not list the names of built-in functions and
|
||
variables. If you want a list of those, they are defined in the
|
||
standard module \module{__builtin__}\refbimodindex{__builtin__}:
|
||
|
||
\begin{verbatim}
|
||
>>> import __builtin__
|
||
>>> dir(__builtin__)
|
||
['AccessError', 'AttributeError', 'ConflictError', 'EOFError', 'IOError',
|
||
'ImportError', 'IndexError', 'KeyError', 'KeyboardInterrupt',
|
||
'MemoryError', 'NameError', 'None', 'OverflowError', 'RuntimeError',
|
||
'SyntaxError', 'SystemError', 'SystemExit', 'TypeError', 'ValueError',
|
||
'ZeroDivisionError', '__name__', 'abs', 'apply', 'chr', 'cmp', 'coerce',
|
||
'compile', 'dir', 'divmod', 'eval', 'execfile', 'filter', 'float',
|
||
'getattr', 'hasattr', 'hash', 'hex', 'id', 'input', 'int', 'len', 'long',
|
||
'map', 'max', 'min', 'oct', 'open', 'ord', 'pow', 'range', 'raw_input',
|
||
'reduce', 'reload', 'repr', 'round', 'setattr', 'str', 'type', 'xrange']
|
||
\end{verbatim}
|
||
|
||
|
||
\section{Packages \label{packages}}
|
||
|
||
Packages are a way of structuring Python's module namespace
|
||
by using ``dotted module names''. For example, the module name
|
||
\module{A.B} designates a submodule named \samp{B} in a package named
|
||
\samp{A}. Just like the use of modules saves the authors of different
|
||
modules from having to worry about each other's global variable names,
|
||
the use of dotted module names saves the authors of multi-module
|
||
packages like NumPy or the Python Imaging Library from having to worry
|
||
about each other's module names.
|
||
|
||
Suppose you want to design a collection of modules (a ``package'') for
|
||
the uniform handling of sound files and sound data. There are many
|
||
different sound file formats (usually recognized by their extension,
|
||
e.g. \file{.wav}, \file{.aiff}, \file{.au}), so you may need to create
|
||
and maintain a growing collection of modules for the conversion
|
||
between the various file formats. There are also many different
|
||
operations you might want to perform on sound data (e.g. mixing,
|
||
adding echo, applying an equalizer function, creating an artificial
|
||
stereo effect), so in addition you will be writing a never-ending
|
||
stream of modules to perform these operations. Here's a possible
|
||
structure for your package (expressed in terms of a hierarchical
|
||
filesystem):
|
||
|
||
\begin{verbatim}
|
||
Sound/ Top-level package
|
||
__init__.py Initialize the sound package
|
||
Formats/ Subpackage for file format conversions
|
||
__init__.py
|
||
wavread.py
|
||
wavwrite.py
|
||
aiffread.py
|
||
aiffwrite.py
|
||
auread.py
|
||
auwrite.py
|
||
...
|
||
Effects/ Subpackage for sound effects
|
||
__init__.py
|
||
echo.py
|
||
surround.py
|
||
reverse.py
|
||
...
|
||
Filters/ Subpackage for filters
|
||
__init__.py
|
||
equalizer.py
|
||
vocoder.py
|
||
karaoke.py
|
||
...
|
||
\end{verbatim}
|
||
|
||
The \file{__init__.py} files are required to make Python treat the
|
||
directories as containing packages; this is done to prevent
|
||
directories with a common name, such as \samp{string}, from
|
||
unintentionally hiding valid modules that occur later on the module
|
||
search path. In the simplest case, \file{__init__.py} can just be an
|
||
empty file, but it can also execute initialization code for the
|
||
package or set the \code{__all__} variable, described later.
|
||
|
||
Users of the package can import individual modules from the
|
||
package, for example:
|
||
|
||
\begin{verbatim}
|
||
import Sound.Effects.echo
|
||
\end{verbatim}
|
||
|
||
This loads the submodule \module{Sound.Effects.echo}. It must be referenced
|
||
with its full name, e.g.
|
||
|
||
\begin{verbatim}
|
||
Sound.Effects.echo.echofilter(input, output, delay=0.7, atten=4)
|
||
\end{verbatim}
|
||
|
||
An alternative way of importing the submodule is:
|
||
|
||
\begin{verbatim}
|
||
from Sound.Effects import echo
|
||
\end{verbatim}
|
||
|
||
This also loads the submodule \module{echo}, and makes it available without
|
||
its package prefix, so it can be used as follows:
|
||
|
||
\begin{verbatim}
|
||
echo.echofilter(input, output, delay=0.7, atten=4)
|
||
\end{verbatim}
|
||
|
||
Yet another variation is to import the desired function or variable directly:
|
||
|
||
\begin{verbatim}
|
||
from Sound.Effects.echo import echofilter
|
||
\end{verbatim}
|
||
|
||
Again, this loads the submodule \module{echo}, but this makes its function
|
||
\function{echofilter()} directly available:
|
||
|
||
\begin{verbatim}
|
||
echofilter(input, output, delay=0.7, atten=4)
|
||
\end{verbatim}
|
||
|
||
Note that when using \code{from \var{package} import \var{item}}, the
|
||
item can be either a submodule (or subpackage) of the package, or some
|
||
other name defined in the package, like a function, class or
|
||
variable. The \code{import} statement first tests whether the item is
|
||
defined in the package; if not, it assumes it is a module and attempts
|
||
to load it. If it fails to find it, an
|
||
\exception{ImportError} exception is raised.
|
||
|
||
Contrarily, when using syntax like \code{import
|
||
\var{item.subitem.subsubitem}}, each item except for the last must be
|
||
a package; the last item can be a module or a package but can't be a
|
||
class or function or variable defined in the previous item.
|
||
|
||
\subsection{Importing * From a Package \label{pkg-import-star}}
|
||
%The \code{__all__} Attribute
|
||
|
||
Now what happens when the user writes \code{from Sound.Effects import
|
||
*}? Ideally, one would hope that this somehow goes out to the
|
||
filesystem, finds which submodules are present in the package, and
|
||
imports them all. Unfortunately, this operation does not work very
|
||
well on Mac and Windows platforms, where the filesystem does not
|
||
always have accurate information about the case of a filename! On
|
||
these platforms, there is no guaranteed way to know whether a file
|
||
\file{ECHO.PY} should be imported as a module \module{echo},
|
||
\module{Echo} or \module{ECHO}. (For example, Windows 95 has the
|
||
annoying practice of showing all file names with a capitalized first
|
||
letter.) The DOS 8+3 filename restriction adds another interesting
|
||
problem for long module names.
|
||
|
||
The only solution is for the package author to provide an explicit
|
||
index of the package. The import statement uses the following
|
||
convention: if a package's \file{__init__.py} code defines a list
|
||
named \code{__all__}, it is taken to be the list of module names that
|
||
should be imported when \code{from \var{package} import *} is
|
||
encountered. It is up to the package author to keep this list
|
||
up-to-date when a new version of the package is released. Package
|
||
authors may also decide not to support it, if they don't see a use for
|
||
importing * from their package. For example, the file
|
||
\file{Sounds/Effects/__init__.py} could contain the following code:
|
||
|
||
\begin{verbatim}
|
||
__all__ = ["echo", "surround", "reverse"]
|
||
\end{verbatim}
|
||
|
||
This would mean that \code{from Sound.Effects import *} would
|
||
import the three named submodules of the \module{Sound} package.
|
||
|
||
If \code{__all__} is not defined, the statement \code{from Sound.Effects
|
||
import *} does \emph{not} import all submodules from the package
|
||
\module{Sound.Effects} into the current namespace; it only ensures that the
|
||
package \module{Sound.Effects} has been imported (possibly running its
|
||
initialization code, \file{__init__.py}) and then imports whatever names are
|
||
defined in the package. This includes any names defined (and
|
||
submodules explicitly loaded) by \file{__init__.py}. It also includes any
|
||
submodules of the package that were explicitly loaded by previous
|
||
import statements, e.g.
|
||
|
||
\begin{verbatim}
|
||
import Sound.Effects.echo
|
||
import Sound.Effects.surround
|
||
from Sound.Effects import *
|
||
\end{verbatim}
|
||
|
||
In this example, the echo and surround modules are imported in the
|
||
current namespace because they are defined in the
|
||
\module{Sound.Effects} package when the \code{from...import} statement
|
||
is executed. (This also works when \code{__all__} is defined.)
|
||
|
||
Note that in general the practicing of importing * from a module or
|
||
package is frowned upon, since it often causes poorly readable code.
|
||
However, it is okay to use it to save typing in interactive sessions,
|
||
and certain modules are designed to export only names that follow
|
||
certain patterns.
|
||
|
||
Remember, there is nothing wrong with using \code{from Package
|
||
import specific_submodule}! In fact, this is the
|
||
recommended notation unless the importing module needs to use
|
||
submodules with the same name from different packages.
|
||
|
||
|
||
\subsection{Intra-package References}
|
||
|
||
The submodules often need to refer to each other. For example, the
|
||
\module{surround} module might use the \module{echo} module. In fact, such references
|
||
are so common that the \code{import} statement first looks in the
|
||
containing package before looking in the standard module search path.
|
||
Thus, the surround module can simply use \code{import echo} or
|
||
\code{from echo import echofilter}. If the imported module is not
|
||
found in the current package (the package of which the current module
|
||
is a submodule), the \code{import} statement looks for a top-level module
|
||
with the given name.
|
||
|
||
When packages are structured into subpackages (as with the
|
||
\module{Sound} package in the example), there's no shortcut to refer
|
||
to submodules of sibling packages - the full name of the subpackage
|
||
must be used. For example, if the module
|
||
\module{Sound.Filters.vocoder} needs to use the \module{echo} module
|
||
in the \module{Sound.Effects} package, it can use \code{from
|
||
Sound.Effects import echo}.
|
||
|
||
%(One could design a notation to refer to parent packages, similar to
|
||
%the use of ".." to refer to the parent directory in Unix and Windows
|
||
%filesystems. In fact, the \module{ni} module, which was the
|
||
%ancestor of this package system, supported this using \code{__} for
|
||
%the package containing the current module,
|
||
%\code{__.__} for the parent package, and so on. This feature was dropped
|
||
%because of its awkwardness; since most packages will have a relative
|
||
%shallow substructure, this is no big loss.)
|
||
|
||
|
||
|
||
\chapter{Input and Output \label{io}}
|
||
|
||
There are several ways to present the output of a program; data can be
|
||
printed in a human-readable form, or written to a file for future use.
|
||
This chapter will discuss some of the possibilities.
|
||
|
||
|
||
\section{Fancier Output Formatting \label{formatting}}
|
||
|
||
So far we've encountered two ways of writing values: \emph{expression
|
||
statements} and the \keyword{print} statement. (A third way is using
|
||
the \method{write()} method of file objects; the standard output file
|
||
can be referenced as \code{sys.stdout}. See the Library Reference for
|
||
more information on this.)
|
||
|
||
Often you'll want more control over the formatting of your output than
|
||
simply printing space-separated values. There are two ways to format
|
||
your output; the first way is to do all the string handling yourself;
|
||
using string slicing and concatenation operations you can create any
|
||
lay-out you can imagine. The standard module
|
||
\module{string}\refstmodindex{string} contains some useful operations
|
||
for padding strings to a given column width; these will be discussed
|
||
shortly. The second way is to use the \code{\%} operator with a
|
||
string as the left argument. The \code{\%} operator interprets the
|
||
left argument much like a \cfunction{sprintf()}-style format
|
||
string to be applied to the right argument, and returns the string
|
||
resulting from this formatting operation.
|
||
|
||
One question remains, of course: how do you convert values to strings?
|
||
Luckily, Python has a way to convert any value to a string: pass it to
|
||
the \function{repr()} function, or just write the value between
|
||
reverse quotes (\code{``}). Some examples:
|
||
|
||
\begin{verbatim}
|
||
>>> x = 10 * 3.25
|
||
>>> y = 200 * 200
|
||
>>> s = 'The value of x is ' + `x` + ', and y is ' + `y` + '...'
|
||
>>> print s
|
||
The value of x is 32.5, and y is 40000...
|
||
>>> # Reverse quotes work on other types besides numbers:
|
||
... p = [x, y]
|
||
>>> ps = repr(p)
|
||
>>> ps
|
||
'[32.5, 40000]'
|
||
>>> # Converting a string adds string quotes and backslashes:
|
||
... hello = 'hello, world\n'
|
||
>>> hellos = `hello`
|
||
>>> print hellos
|
||
'hello, world\n'
|
||
>>> # The argument of reverse quotes may be a tuple:
|
||
... `x, y, ('spam', 'eggs')`
|
||
"(32.5, 40000, ('spam', 'eggs'))"
|
||
\end{verbatim}
|
||
|
||
Here are two ways to write a table of squares and cubes:
|
||
|
||
\begin{verbatim}
|
||
>>> import string
|
||
>>> for x in range(1, 11):
|
||
... print string.rjust(`x`, 2), string.rjust(`x*x`, 3),
|
||
... # Note trailing comma on previous line
|
||
... print string.rjust(`x*x*x`, 4)
|
||
...
|
||
1 1 1
|
||
2 4 8
|
||
3 9 27
|
||
4 16 64
|
||
5 25 125
|
||
6 36 216
|
||
7 49 343
|
||
8 64 512
|
||
9 81 729
|
||
10 100 1000
|
||
>>> for x in range(1,11):
|
||
... print '%2d %3d %4d' % (x, x*x, x*x*x)
|
||
...
|
||
1 1 1
|
||
2 4 8
|
||
3 9 27
|
||
4 16 64
|
||
5 25 125
|
||
6 36 216
|
||
7 49 343
|
||
8 64 512
|
||
9 81 729
|
||
10 100 1000
|
||
\end{verbatim}
|
||
|
||
(Note that one space between each column was added by the way
|
||
\keyword{print} works: it always adds spaces between its arguments.)
|
||
|
||
This example demonstrates the function \function{string.rjust()},
|
||
which right-justifies a string in a field of a given width by padding
|
||
it with spaces on the left. There are similar functions
|
||
\function{string.ljust()} and \function{string.center()}. These
|
||
functions do not write anything, they just return a new string. If
|
||
the input string is too long, they don't truncate it, but return it
|
||
unchanged; this will mess up your column lay-out but that's usually
|
||
better than the alternative, which would be lying about a value. (If
|
||
you really want truncation you can always add a slice operation, as in
|
||
\samp{string.ljust(x,~n)[0:n]}.)
|
||
|
||
There is another function, \function{string.zfill()}, which pads a
|
||
numeric string on the left with zeros. It understands about plus and
|
||
minus signs:
|
||
|
||
\begin{verbatim}
|
||
>>> import string
|
||
>>> string.zfill('12', 5)
|
||
'00012'
|
||
>>> string.zfill('-3.14', 7)
|
||
'-003.14'
|
||
>>> string.zfill('3.14159265359', 5)
|
||
'3.14159265359'
|
||
\end{verbatim}
|
||
|
||
Using the \code{\%} operator looks like this:
|
||
|
||
\begin{verbatim}
|
||
>>> import math
|
||
>>> print 'The value of PI is approximately %5.3f.' % math.pi
|
||
The value of PI is approximately 3.142.
|
||
\end{verbatim}
|
||
|
||
If there is more than one format in the string you pass a tuple as
|
||
right operand, e.g.
|
||
|
||
\begin{verbatim}
|
||
>>> table = {'Sjoerd': 4127, 'Jack': 4098, 'Dcab': 7678}
|
||
>>> for name, phone in table.items():
|
||
... print '%-10s ==> %10d' % (name, phone)
|
||
...
|
||
Jack ==> 4098
|
||
Dcab ==> 7678
|
||
Sjoerd ==> 4127
|
||
\end{verbatim}
|
||
|
||
Most formats work exactly as in C and require that you pass the proper
|
||
type; however, if you don't you get an exception, not a core dump.
|
||
The \code{\%s} format is more relaxed: if the corresponding argument is
|
||
not a string object, it is converted to string using the
|
||
\function{str()} built-in function. Using \code{*} to pass the width
|
||
or precision in as a separate (integer) argument is supported. The
|
||
C formats \code{\%n} and \code{\%p} are not supported.
|
||
|
||
If you have a really long format string that you don't want to split
|
||
up, it would be nice if you could reference the variables to be
|
||
formatted by name instead of by position. This can be done by using
|
||
an extension of C formats using the form \code{\%(name)format}, e.g.
|
||
|
||
\begin{verbatim}
|
||
>>> table = {'Sjoerd': 4127, 'Jack': 4098, 'Dcab': 8637678}
|
||
>>> print 'Jack: %(Jack)d; Sjoerd: %(Sjoerd)d; Dcab: %(Dcab)d' % table
|
||
Jack: 4098; Sjoerd: 4127; Dcab: 8637678
|
||
\end{verbatim}
|
||
|
||
This is particularly useful in combination with the new built-in
|
||
\function{vars()} function, which returns a dictionary containing all
|
||
local variables.
|
||
|
||
\section{Reading and Writing Files \label{files}}
|
||
|
||
% Opening files
|
||
\function{open()}\bifuncindex{open} returns a file
|
||
object\obindex{file}, and is most commonly used with two arguments:
|
||
\samp{open(\var{filename}, \var{mode})}.
|
||
|
||
\begin{verbatim}
|
||
>>> f=open('/tmp/workfile', 'w')
|
||
>>> print f
|
||
<open file '/tmp/workfile', mode 'w' at 80a0960>
|
||
\end{verbatim}
|
||
|
||
The first argument is a string containing the filename. The second
|
||
argument is another string containing a few characters describing the
|
||
way in which the file will be used. \var{mode} can be \code{'r'} when
|
||
the file will only be read, \code{'w'} for only writing (an existing
|
||
file with the same name will be erased), and \code{'a'} opens the file
|
||
for appending; any data written to the file is automatically added to
|
||
the end. \code{'r+'} opens the file for both reading and writing.
|
||
The \var{mode} argument is optional; \code{'r'} will be assumed if
|
||
it's omitted.
|
||
|
||
On Windows and the Macintosh, \code{'b'} appended to the
|
||
mode opens the file in binary mode, so there are also modes like
|
||
\code{'rb'}, \code{'wb'}, and \code{'r+b'}. Windows makes a
|
||
distinction between text and binary files; the end-of-line characters
|
||
in text files are automatically altered slightly when data is read or
|
||
written. This behind-the-scenes modification to file data is fine for
|
||
\ASCII{} text files, but it'll corrupt binary data like that in JPEGs or
|
||
\file{.EXE} files. Be very careful to use binary mode when reading and
|
||
writing such files. (Note that the precise semantics of text mode on
|
||
the Macintosh depends on the underlying C library being used.)
|
||
|
||
\subsection{Methods of File Objects \label{fileMethods}}
|
||
|
||
The rest of the examples in this section will assume that a file
|
||
object called \code{f} has already been created.
|
||
|
||
To read a file's contents, call \code{f.read(\var{size})}, which reads
|
||
some quantity of data and returns it as a string. \var{size} is an
|
||
optional numeric argument. When \var{size} is omitted or negative,
|
||
the entire contents of the file will be read and returned; it's your
|
||
problem if the file is twice as large as your machine's memory.
|
||
Otherwise, at most \var{size} bytes are read and returned. If the end
|
||
of the file has been reached, \code{f.read()} will return an empty
|
||
string (\code {""}).
|
||
\begin{verbatim}
|
||
>>> f.read()
|
||
'This is the entire file.\n'
|
||
>>> f.read()
|
||
''
|
||
\end{verbatim}
|
||
|
||
\code{f.readline()} reads a single line from the file; a newline
|
||
character (\code{\e n}) is left at the end of the string, and is only
|
||
omitted on the last line of the file if the file doesn't end in a
|
||
newline. This makes the return value unambiguous; if
|
||
\code{f.readline()} returns an empty string, the end of the file has
|
||
been reached, while a blank line is represented by \code{'\e n'}, a
|
||
string containing only a single newline.
|
||
|
||
\begin{verbatim}
|
||
>>> f.readline()
|
||
'This is the first line of the file.\n'
|
||
>>> f.readline()
|
||
'Second line of the file\n'
|
||
>>> f.readline()
|
||
''
|
||
\end{verbatim}
|
||
|
||
\code{f.readlines()} returns a list containing all the lines of data
|
||
in the file. If given an optional parameter \var{sizehint}, it reads
|
||
that many bytes from the file and enough more to complete a line, and
|
||
returns the lines from that. This is often used to allow efficient
|
||
reading of a large file by lines, but without having to load the
|
||
entire file in memory. Only complete lines will be returned.
|
||
|
||
\begin{verbatim}
|
||
>>> f.readlines()
|
||
['This is the first line of the file.\n', 'Second line of the file\n']
|
||
\end{verbatim}
|
||
|
||
\code{f.write(\var{string})} writes the contents of \var{string} to
|
||
the file, returning \code{None}.
|
||
|
||
\begin{verbatim}
|
||
>>> f.write('This is a test\n')
|
||
\end{verbatim}
|
||
|
||
\code{f.tell()} returns an integer giving the file object's current
|
||
position in the file, measured in bytes from the beginning of the
|
||
file. To change the file object's position, use
|
||
\samp{f.seek(\var{offset}, \var{from_what})}. The position is
|
||
computed from adding \var{offset} to a reference point; the reference
|
||
point is selected by the \var{from_what} argument. A
|
||
\var{from_what} value of 0 measures from the beginning of the file, 1
|
||
uses the current file position, and 2 uses the end of the file as the
|
||
reference point. \var{from_what} can be omitted and defaults to 0,
|
||
using the beginning of the file as the reference point.
|
||
|
||
\begin{verbatim}
|
||
>>> f=open('/tmp/workfile', 'r+')
|
||
>>> f.write('0123456789abcdef')
|
||
>>> f.seek(5) # Go to the 5th byte in the file
|
||
>>> f.read(1)
|
||
'5'
|
||
>>> f.seek(-3, 2) # Go to the 3rd byte before the end
|
||
>>> f.read(1)
|
||
'd'
|
||
\end{verbatim}
|
||
|
||
When you're done with a file, call \code{f.close()} to close it and
|
||
free up any system resources taken up by the open file. After calling
|
||
\code{f.close()}, attempts to use the file object will automatically fail.
|
||
|
||
\begin{verbatim}
|
||
>>> f.close()
|
||
>>> f.read()
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1, in ?
|
||
ValueError: I/O operation on closed file
|
||
\end{verbatim}
|
||
|
||
File objects have some additional methods, such as
|
||
\method{isatty()} and \method{truncate()} which are less frequently
|
||
used; consult the Library Reference for a complete guide to file
|
||
objects.
|
||
|
||
\subsection{The \module{pickle} Module \label{pickle}}
|
||
\refstmodindex{pickle}
|
||
|
||
Strings can easily be written to and read from a file. Numbers take a
|
||
bit more effort, since the \method{read()} method only returns
|
||
strings, which will have to be passed to a function like
|
||
\function{string.atoi()}, which takes a string like \code{'123'} and
|
||
returns its numeric value 123. However, when you want to save more
|
||
complex data types like lists, dictionaries, or class instances,
|
||
things get a lot more complicated.
|
||
|
||
Rather than have users be constantly writing and debugging code to
|
||
save complicated data types, Python provides a standard module called
|
||
\module{pickle}. This is an amazing module that can take almost
|
||
any Python object (even some forms of Python code!), and convert it to
|
||
a string representation; this process is called \dfn{pickling}.
|
||
Reconstructing the object from the string representation is called
|
||
\dfn{unpickling}. Between pickling and unpickling, the string
|
||
representing the object may have been stored in a file or data, or
|
||
sent over a network connection to some distant machine.
|
||
|
||
If you have an object \code{x}, and a file object \code{f} that's been
|
||
opened for writing, the simplest way to pickle the object takes only
|
||
one line of code:
|
||
|
||
\begin{verbatim}
|
||
pickle.dump(x, f)
|
||
\end{verbatim}
|
||
|
||
To unpickle the object again, if \code{f} is a file object which has
|
||
been opened for reading:
|
||
|
||
\begin{verbatim}
|
||
x = pickle.load(f)
|
||
\end{verbatim}
|
||
|
||
(There are other variants of this, used when pickling many objects or
|
||
when you don't want to write the pickled data to a file; consult the
|
||
complete documentation for \module{pickle} in the Library Reference.)
|
||
|
||
\module{pickle} is the standard way to make Python objects which can
|
||
be stored and reused by other programs or by a future invocation of
|
||
the same program; the technical term for this is a
|
||
\dfn{persistent} object. Because \module{pickle} is so widely used,
|
||
many authors who write Python extensions take care to ensure that new
|
||
data types such as matrices can be properly pickled and unpickled.
|
||
|
||
|
||
|
||
\chapter{Errors and Exceptions \label{errors}}
|
||
|
||
Until now error messages haven't been more than mentioned, but if you
|
||
have tried out the examples you have probably seen some. There are
|
||
(at least) two distinguishable kinds of errors:
|
||
\emph{syntax errors} and \emph{exceptions}.
|
||
|
||
\section{Syntax Errors \label{syntaxErrors}}
|
||
|
||
Syntax errors, also known as parsing errors, are perhaps the most common
|
||
kind of complaint you get while you are still learning Python:
|
||
|
||
\begin{verbatim}
|
||
>>> while 1 print 'Hello world'
|
||
File "<stdin>", line 1
|
||
while 1 print 'Hello world'
|
||
^
|
||
SyntaxError: invalid syntax
|
||
\end{verbatim}
|
||
|
||
The parser repeats the offending line and displays a little `arrow'
|
||
pointing at the earliest point in the line where the error was
|
||
detected. The error is caused by (or at least detected at) the token
|
||
\emph{preceding} the arrow: in the example, the error is detected at
|
||
the keyword \keyword{print}, since a colon (\character{:}) is missing
|
||
before it. File name and line number are printed so you know where to
|
||
look in case the input came from a script.
|
||
|
||
\section{Exceptions \label{exceptions}}
|
||
|
||
Even if a statement or expression is syntactically correct, it may
|
||
cause an error when an attempt is made to execute it.
|
||
Errors detected during execution are called \emph{exceptions} and are
|
||
not unconditionally fatal: you will soon learn how to handle them in
|
||
Python programs. Most exceptions are not handled by programs,
|
||
however, and result in error messages as shown here:
|
||
|
||
\begin{verbatim}
|
||
>>> 10 * (1/0)
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1
|
||
ZeroDivisionError: integer division or modulo
|
||
>>> 4 + spam*3
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1
|
||
NameError: spam
|
||
>>> '2' + 2
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1
|
||
TypeError: illegal argument type for built-in operation
|
||
\end{verbatim}
|
||
|
||
The last line of the error message indicates what happened.
|
||
Exceptions come in different types, and the type is printed as part of
|
||
the message: the types in the example are
|
||
\exception{ZeroDivisionError}, \exception{NameError} and
|
||
\exception{TypeError}.
|
||
The string printed as the exception type is the name of the built-in
|
||
name for the exception that occurred. This is true for all built-in
|
||
exceptions, but need not be true for user-defined exceptions (although
|
||
it is a useful convention).
|
||
Standard exception names are built-in identifiers (not reserved
|
||
keywords).
|
||
|
||
The rest of the line is a detail whose interpretation depends on the
|
||
exception type; its meaning is dependent on the exception type.
|
||
|
||
The preceding part of the error message shows the context where the
|
||
exception happened, in the form of a stack backtrace.
|
||
In general it contains a stack backtrace listing source lines; however,
|
||
it will not display lines read from standard input.
|
||
|
||
The \citetitle[../lib/module-exceptions.html]{Python Library
|
||
Reference} lists the built-in exceptions and their meanings.
|
||
|
||
|
||
\section{Handling Exceptions \label{handling}}
|
||
|
||
It is possible to write programs that handle selected exceptions.
|
||
Look at the following example, which asks the user for input until a
|
||
valid integer has been entered, but allows the user to interrupt the
|
||
program (using \kbd{Control-C} or whatever the operating system
|
||
supports); note that a user-generated interruption is signalled by
|
||
raising the \exception{KeyboardInterrupt} exception.
|
||
|
||
\begin{verbatim}
|
||
>>> while 1:
|
||
... try:
|
||
... x = int(raw_input("Please enter a number: "))
|
||
... break
|
||
... except ValueError:
|
||
... print "Oops! That was no valid number. Try again..."
|
||
...
|
||
\end{verbatim}
|
||
|
||
The \keyword{try} statement works as follows.
|
||
|
||
\begin{itemize}
|
||
\item
|
||
First, the \emph{try clause} (the statement(s) between the
|
||
\keyword{try} and \keyword{except} keywords) is executed.
|
||
|
||
\item
|
||
If no exception occurs, the \emph{except\ clause} is skipped and
|
||
execution of the \keyword{try} statement is finished.
|
||
|
||
\item
|
||
If an exception occurs during execution of the try clause, the rest of
|
||
the clause is skipped. Then if its type matches the exception named
|
||
after the \keyword{except} keyword, the rest of the try clause is
|
||
skipped, the except clause is executed, and then execution continues
|
||
after the \keyword{try} statement.
|
||
|
||
\item
|
||
If an exception occurs which does not match the exception named in the
|
||
except clause, it is passed on to outer \keyword{try} statements; if
|
||
no handler is found, it is an \emph{unhandled exception} and execution
|
||
stops with a message as shown above.
|
||
|
||
\end{itemize}
|
||
|
||
A \keyword{try} statement may have more than one except clause, to
|
||
specify handlers for different exceptions. At most one handler will
|
||
be executed. Handlers only handle exceptions that occur in the
|
||
corresponding try clause, not in other handlers of the same
|
||
\keyword{try} statement. An except clause may name multiple exceptions
|
||
as a parenthesized list, e.g.:
|
||
|
||
\begin{verbatim}
|
||
... except (RuntimeError, TypeError, NameError):
|
||
... pass
|
||
\end{verbatim}
|
||
|
||
The last except clause may omit the exception name(s), to serve as a
|
||
wildcard. Use this with extreme caution, since it is easy to mask a
|
||
real programming error in this way! It can also be used to print an
|
||
error message and then re-raise the exception (allowing a caller to
|
||
handle the exception as well):
|
||
|
||
\begin{verbatim}
|
||
import string, sys
|
||
|
||
try:
|
||
f = open('myfile.txt')
|
||
s = f.readline()
|
||
i = int(string.strip(s))
|
||
except IOError, (errno, strerror):
|
||
print "I/O error(%s): %s" % (errno, strerror)
|
||
except ValueError:
|
||
print "Could not convert data to an integer."
|
||
except:
|
||
print "Unexpected error:", sys.exc_info()[0]
|
||
raise
|
||
\end{verbatim}
|
||
|
||
The \keyword{try} \ldots\ \keyword{except} statement has an optional
|
||
\emph{else clause}, which, when present, must follow all except
|
||
clauses. It is useful for code that must be executed if the try
|
||
clause does not raise an exception. For example:
|
||
|
||
\begin{verbatim}
|
||
for arg in sys.argv[1:]:
|
||
try:
|
||
f = open(arg, 'r')
|
||
except IOError:
|
||
print 'cannot open', arg
|
||
else:
|
||
print arg, 'has', len(f.readlines()), 'lines'
|
||
f.close()
|
||
\end{verbatim}
|
||
|
||
The use of the \keyword{else} clause is better than adding additional
|
||
code to the \keyword{try} clause because it avoids accidentally
|
||
catching an exception that wasn't raised by the code being protected
|
||
by the \keyword{try} \ldots\ \keyword{except} statement.
|
||
|
||
|
||
When an exception occurs, it may have an associated value, also known as
|
||
the exception's \emph{argument}.
|
||
The presence and type of the argument depend on the exception type.
|
||
For exception types which have an argument, the except clause may
|
||
specify a variable after the exception name (or list) to receive the
|
||
argument's value, as follows:
|
||
|
||
\begin{verbatim}
|
||
>>> try:
|
||
... spam()
|
||
... except NameError, x:
|
||
... print 'name', x, 'undefined'
|
||
...
|
||
name spam undefined
|
||
\end{verbatim}
|
||
|
||
If an exception has an argument, it is printed as the last part
|
||
(`detail') of the message for unhandled exceptions.
|
||
|
||
Exception handlers don't just handle exceptions if they occur
|
||
immediately in the try clause, but also if they occur inside functions
|
||
that are called (even indirectly) in the try clause.
|
||
For example:
|
||
|
||
\begin{verbatim}
|
||
>>> def this_fails():
|
||
... x = 1/0
|
||
...
|
||
>>> try:
|
||
... this_fails()
|
||
... except ZeroDivisionError, detail:
|
||
... print 'Handling run-time error:', detail
|
||
...
|
||
Handling run-time error: integer division or modulo
|
||
\end{verbatim}
|
||
|
||
|
||
\section{Raising Exceptions \label{raising}}
|
||
|
||
The \keyword{raise} statement allows the programmer to force a
|
||
specified exception to occur.
|
||
For example:
|
||
|
||
\begin{verbatim}
|
||
>>> raise NameError, 'HiThere'
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1
|
||
NameError: HiThere
|
||
\end{verbatim}
|
||
|
||
The first argument to \keyword{raise} names the exception to be
|
||
raised. The optional second argument specifies the exception's
|
||
argument.
|
||
|
||
|
||
\section{User-defined Exceptions \label{userExceptions}}
|
||
|
||
Programs may name their own exceptions by assigning a string to a
|
||
variable or creating a new exception class. For example:
|
||
|
||
\begin{verbatim}
|
||
>>> class MyError:
|
||
... def __init__(self, value):
|
||
... self.value = value
|
||
... def __str__(self):
|
||
... return `self.value`
|
||
...
|
||
>>> try:
|
||
... raise MyError(2*2)
|
||
... except MyError, e:
|
||
... print 'My exception occurred, value:', e.value
|
||
...
|
||
My exception occurred, value: 4
|
||
>>> raise MyError, 1
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 1
|
||
__main__.MyError: 1
|
||
\end{verbatim}
|
||
|
||
Many standard modules use this to report errors that may occur in
|
||
functions they define.
|
||
|
||
More information on classes is presented in chapter \ref{classes},
|
||
``Classes.''
|
||
|
||
|
||
\section{Defining Clean-up Actions \label{cleanup}}
|
||
|
||
The \keyword{try} statement has another optional clause which is
|
||
intended to define clean-up actions that must be executed under all
|
||
circumstances. For example:
|
||
|
||
\begin{verbatim}
|
||
>>> try:
|
||
... raise KeyboardInterrupt
|
||
... finally:
|
||
... print 'Goodbye, world!'
|
||
...
|
||
Goodbye, world!
|
||
Traceback (most recent call last):
|
||
File "<stdin>", line 2
|
||
KeyboardInterrupt
|
||
\end{verbatim}
|
||
|
||
A \emph{finally clause} is executed whether or not an exception has
|
||
occurred in the try clause. When an exception has occurred, it is
|
||
re-raised after the finally clause is executed. The finally clause is
|
||
also executed ``on the way out'' when the \keyword{try} statement is
|
||
left via a \keyword{break} or \keyword{return} statement.
|
||
|
||
A \keyword{try} statement must either have one or more except clauses
|
||
or one finally clause, but not both.
|
||
|
||
\chapter{Classes \label{classes}}
|
||
|
||
Python's class mechanism adds classes to the language with a minimum
|
||
of new syntax and semantics. It is a mixture of the class mechanisms
|
||
found in \Cpp{} and Modula-3. As is true for modules, classes in Python
|
||
do not put an absolute barrier between definition and user, but rather
|
||
rely on the politeness of the user not to ``break into the
|
||
definition.'' The most important features of classes are retained
|
||
with full power, however: the class inheritance mechanism allows
|
||
multiple base classes, a derived class can override any methods of its
|
||
base class or classes, a method can call the method of a base class with the
|
||
same name. Objects can contain an arbitrary amount of private data.
|
||
|
||
In \Cpp{} terminology, all class members (including the data members) are
|
||
\emph{public}, and all member functions are \emph{virtual}. There are
|
||
no special constructors or destructors. As in Modula-3, there are no
|
||
shorthands for referencing the object's members from its methods: the
|
||
method function is declared with an explicit first argument
|
||
representing the object, which is provided implicitly by the call. As
|
||
in Smalltalk, classes themselves are objects, albeit in the wider
|
||
sense of the word: in Python, all data types are objects. This
|
||
provides semantics for importing and renaming. But, just like in
|
||
\Cpp{} or Modula-3, built-in types cannot be used as base classes for
|
||
extension by the user. Also, like in \Cpp{} but unlike in Modula-3, most
|
||
built-in operators with special syntax (arithmetic operators,
|
||
subscripting etc.) can be redefined for class instances.
|
||
|
||
\section{A Word About Terminology \label{terminology}}
|
||
|
||
Lacking universally accepted terminology to talk about classes, I will
|
||
make occasional use of Smalltalk and \Cpp{} terms. (I would use Modula-3
|
||
terms, since its object-oriented semantics are closer to those of
|
||
Python than \Cpp{}, but I expect that few readers have heard of it.)
|
||
|
||
I also have to warn you that there's a terminological pitfall for
|
||
object-oriented readers: the word ``object'' in Python does not
|
||
necessarily mean a class instance. Like \Cpp{} and Modula-3, and
|
||
unlike Smalltalk, not all types in Python are classes: the basic
|
||
built-in types like integers and lists are not, and even somewhat more
|
||
exotic types like files aren't. However, \emph{all} Python types
|
||
share a little bit of common semantics that is best described by using
|
||
the word object.
|
||
|
||
Objects have individuality, and multiple names (in multiple scopes)
|
||
can be bound to the same object. This is known as aliasing in other
|
||
languages. This is usually not appreciated on a first glance at
|
||
Python, and can be safely ignored when dealing with immutable basic
|
||
types (numbers, strings, tuples). However, aliasing has an
|
||
(intended!) effect on the semantics of Python code involving mutable
|
||
objects such as lists, dictionaries, and most types representing
|
||
entities outside the program (files, windows, etc.). This is usually
|
||
used to the benefit of the program, since aliases behave like pointers
|
||
in some respects. For example, passing an object is cheap since only
|
||
a pointer is passed by the implementation; and if a function modifies
|
||
an object passed as an argument, the caller will see the change --- this
|
||
obviates the need for two different argument passing mechanisms as in
|
||
Pascal.
|
||
|
||
|
||
\section{Python Scopes and Name Spaces \label{scopes}}
|
||
|
||
Before introducing classes, I first have to tell you something about
|
||
Python's scope rules. Class definitions play some neat tricks with
|
||
namespaces, and you need to know how scopes and namespaces work to
|
||
fully understand what's going on. Incidentally, knowledge about this
|
||
subject is useful for any advanced Python programmer.
|
||
|
||
Let's begin with some definitions.
|
||
|
||
A \emph{namespace} is a mapping from names to objects. Most
|
||
namespaces are currently implemented as Python dictionaries, but
|
||
that's normally not noticeable in any way (except for performance),
|
||
and it may change in the future. Examples of namespaces are: the set
|
||
of built-in names (functions such as \function{abs()}, and built-in
|
||
exception names); the global names in a module; and the local names in
|
||
a function invocation. In a sense the set of attributes of an object
|
||
also form a namespace. The important thing to know about namespaces
|
||
is that there is absolutely no relation between names in different
|
||
namespaces; for instance, two different modules may both define a
|
||
function ``maximize'' without confusion --- users of the modules must
|
||
prefix it with the module name.
|
||
|
||
By the way, I use the word \emph{attribute} for any name following a
|
||
dot --- for example, in the expression \code{z.real}, \code{real} is
|
||
an attribute of the object \code{z}. Strictly speaking, references to
|
||
names in modules are attribute references: in the expression
|
||
\code{modname.funcname}, \code{modname} is a module object and
|
||
\code{funcname} is an attribute of it. In this case there happens to
|
||
be a straightforward mapping between the module's attributes and the
|
||
global names defined in the module: they share the same namespace!
|
||
\footnote{
|
||
Except for one thing. Module objects have a secret read-only
|
||
attribute called \member{__dict__} which returns the dictionary
|
||
used to implement the module's namespace; the name
|
||
\member{__dict__} is an attribute but not a global name.
|
||
Obviously, using this violates the abstraction of namespace
|
||
implementation, and should be restricted to things like
|
||
post-mortem debuggers.
|
||
}
|
||
|
||
Attributes may be read-only or writable. In the latter case,
|
||
assignment to attributes is possible. Module attributes are writable:
|
||
you can write \samp{modname.the_answer = 42}. Writable attributes may
|
||
also be deleted with the \keyword{del} statement, e.g.
|
||
\samp{del modname.the_answer}.
|
||
|
||
Name spaces are created at different moments and have different
|
||
lifetimes. The namespace containing the built-in names is created
|
||
when the Python interpreter starts up, and is never deleted. The
|
||
global namespace for a module is created when the module definition
|
||
is read in; normally, module namespaces also last until the
|
||
interpreter quits. The statements executed by the top-level
|
||
invocation of the interpreter, either read from a script file or
|
||
interactively, are considered part of a module called
|
||
\module{__main__}, so they have their own global namespace. (The
|
||
built-in names actually also live in a module; this is called
|
||
\module{__builtin__}.)
|
||
|
||
The local namespace for a function is created when the function is
|
||
called, and deleted when the function returns or raises an exception
|
||
that is not handled within the function. (Actually, forgetting would
|
||
be a better way to describe what actually happens.) Of course,
|
||
recursive invocations each have their own local namespace.
|
||
|
||
A \emph{scope} is a textual region of a Python program where a
|
||
namespace is directly accessible. ``Directly accessible'' here means
|
||
that an unqualified reference to a name attempts to find the name in
|
||
the namespace.
|
||
|
||
Although scopes are determined statically, they are used dynamically.
|
||
At any time during execution, exactly three nested scopes are in use
|
||
(i.e., exactly three namespaces are directly accessible): the
|
||
innermost scope, which is searched first, contains the local names,
|
||
the middle scope, searched next, contains the current module's global
|
||
names, and the outermost scope (searched last) is the namespace
|
||
containing built-in names.
|
||
|
||
Usually, the local scope references the local names of the (textually)
|
||
current function. Outside of functions, the local scope references
|
||
the same namespace as the global scope: the module's namespace.
|
||
Class definitions place yet another namespace in the local scope.
|
||
|
||
It is important to realize that scopes are determined textually: the
|
||
global scope of a function defined in a module is that module's
|
||
namespace, no matter from where or by what alias the function is
|
||
called. On the other hand, the actual search for names is done
|
||
dynamically, at run time --- however, the language definition is
|
||
evolving towards static name resolution, at ``compile'' time, so don't
|
||
rely on dynamic name resolution! (In fact, local variables are
|
||
already determined statically.)
|
||
|
||
A special quirk of Python is that assignments always go into the
|
||
innermost scope. Assignments do not copy data --- they just
|
||
bind names to objects. The same is true for deletions: the statement
|
||
\samp{del x} removes the binding of \code{x} from the namespace
|
||
referenced by the local scope. In fact, all operations that introduce
|
||
new names use the local scope: in particular, import statements and
|
||
function definitions bind the module or function name in the local
|
||
scope. (The \keyword{global} statement can be used to indicate that
|
||
particular variables live in the global scope.)
|
||
|
||
|
||
\section{A First Look at Classes \label{firstClasses}}
|
||
|
||
Classes introduce a little bit of new syntax, three new object types,
|
||
and some new semantics.
|
||
|
||
|
||
\subsection{Class Definition Syntax \label{classDefinition}}
|
||
|
||
The simplest form of class definition looks like this:
|
||
|
||
\begin{verbatim}
|
||
class ClassName:
|
||
<statement-1>
|
||
.
|
||
.
|
||
.
|
||
<statement-N>
|
||
\end{verbatim}
|
||
|
||
Class definitions, like function definitions
|
||
(\keyword{def} statements) must be executed before they have any
|
||
effect. (You could conceivably place a class definition in a branch
|
||
of an \keyword{if} statement, or inside a function.)
|
||
|
||
In practice, the statements inside a class definition will usually be
|
||
function definitions, but other statements are allowed, and sometimes
|
||
useful --- we'll come back to this later. The function definitions
|
||
inside a class normally have a peculiar form of argument list,
|
||
dictated by the calling conventions for methods --- again, this is
|
||
explained later.
|
||
|
||
When a class definition is entered, a new namespace is created, and
|
||
used as the local scope --- thus, all assignments to local variables
|
||
go into this new namespace. In particular, function definitions bind
|
||
the name of the new function here.
|
||
|
||
When a class definition is left normally (via the end), a \emph{class
|
||
object} is created. This is basically a wrapper around the contents
|
||
of the namespace created by the class definition; we'll learn more
|
||
about class objects in the next section. The original local scope
|
||
(the one in effect just before the class definitions was entered) is
|
||
reinstated, and the class object is bound here to the class name given
|
||
in the class definition header (\class{ClassName} in the example).
|
||
|
||
|
||
\subsection{Class Objects \label{classObjects}}
|
||
|
||
Class objects support two kinds of operations: attribute references
|
||
and instantiation.
|
||
|
||
\emph{Attribute references} use the standard syntax used for all
|
||
attribute references in Python: \code{obj.name}. Valid attribute
|
||
names are all the names that were in the class's namespace when the
|
||
class object was created. So, if the class definition looked like
|
||
this:
|
||
|
||
\begin{verbatim}
|
||
class MyClass:
|
||
"A simple example class"
|
||
i = 12345
|
||
def f(x):
|
||
return 'hello world'
|
||
\end{verbatim}
|
||
|
||
then \code{MyClass.i} and \code{MyClass.f} are valid attribute
|
||
references, returning an integer and a method object, respectively.
|
||
Class attributes can also be assigned to, so you can change the value
|
||
of \code{MyClass.i} by assignment. \member{__doc__} is also a valid
|
||
attribute, returning the docstring belonging to the class: \code{"A
|
||
simple example class"}).
|
||
|
||
Class \emph{instantiation} uses function notation. Just pretend that
|
||
the class object is a parameterless function that returns a new
|
||
instance of the class. For example (assuming the above class):
|
||
|
||
\begin{verbatim}
|
||
x = MyClass()
|
||
\end{verbatim}
|
||
|
||
creates a new \emph{instance} of the class and assigns this object to
|
||
the local variable \code{x}.
|
||
|
||
The instantiation operation (``calling'' a class object) creates an
|
||
empty object. Many classes like to create objects in a known initial
|
||
state. Therefore a class may define a special method named
|
||
\method{__init__()}, like this:
|
||
|
||
\begin{verbatim}
|
||
def __init__(self):
|
||
self.data = []
|
||
\end{verbatim}
|
||
|
||
When a class defines an \method{__init__()} method, class
|
||
instantiation automatically invokes \method{__init__()} for the
|
||
newly-created class instance. So in this example, a new, initialized
|
||
instance can be obtained by:
|
||
|
||
\begin{verbatim}
|
||
x = MyClass()
|
||
\end{verbatim}
|
||
|
||
Of course, the \method{__init__()} method may have arguments for
|
||
greater flexibility. In that case, arguments given to the class
|
||
instantiation operator are passed on to \method{__init__()}. For
|
||
example,
|
||
|
||
\begin{verbatim}
|
||
>>> class Complex:
|
||
... def __init__(self, realpart, imagpart):
|
||
... self.r = realpart
|
||
... self.i = imagpart
|
||
...
|
||
>>> x = Complex(3.0, -4.5)
|
||
>>> x.r, x.i
|
||
(3.0, -4.5)
|
||
\end{verbatim}
|
||
|
||
|
||
\subsection{Instance Objects \label{instanceObjects}}
|
||
|
||
Now what can we do with instance objects? The only operations
|
||
understood by instance objects are attribute references. There are
|
||
two kinds of valid attribute names.
|
||
|
||
The first I'll call \emph{data attributes}. These correspond to
|
||
``instance variables'' in Smalltalk, and to ``data members'' in
|
||
\Cpp{}. Data attributes need not be declared; like local variables,
|
||
they spring into existence when they are first assigned to. For
|
||
example, if \code{x} is the instance of \class{MyClass} created above,
|
||
the following piece of code will print the value \code{16}, without
|
||
leaving a trace:
|
||
|
||
\begin{verbatim}
|
||
x.counter = 1
|
||
while x.counter < 10:
|
||
x.counter = x.counter * 2
|
||
print x.counter
|
||
del x.counter
|
||
\end{verbatim}
|
||
|
||
The second kind of attribute references understood by instance objects
|
||
are \emph{methods}. A method is a function that ``belongs to'' an
|
||
object. (In Python, the term method is not unique to class instances:
|
||
other object types can have methods as well, e.g., list objects have
|
||
methods called append, insert, remove, sort, and so on. However,
|
||
below, we'll use the term method exclusively to mean methods of class
|
||
instance objects, unless explicitly stated otherwise.)
|
||
|
||
Valid method names of an instance object depend on its class. By
|
||
definition, all attributes of a class that are (user-defined) function
|
||
objects define corresponding methods of its instances. So in our
|
||
example, \code{x.f} is a valid method reference, since
|
||
\code{MyClass.f} is a function, but \code{x.i} is not, since
|
||
\code{MyClass.i} is not. But \code{x.f} is not the same thing as
|
||
\code{MyClass.f} --- it is a \obindex{method}\emph{method object}, not
|
||
a function object.
|
||
|
||
|
||
\subsection{Method Objects \label{methodObjects}}
|
||
|
||
Usually, a method is called immediately, e.g.:
|
||
|
||
\begin{verbatim}
|
||
x.f()
|
||
\end{verbatim}
|
||
|
||
In our example, this will return the string \code{'hello world'}.
|
||
However, it is not necessary to call a method right away:
|
||
\code{x.f} is a method object, and can be stored away and called at a
|
||
later time. For example:
|
||
|
||
\begin{verbatim}
|
||
xf = x.f
|
||
while 1:
|
||
print xf()
|
||
\end{verbatim}
|
||
|
||
will continue to print \samp{hello world} until the end of time.
|
||
|
||
What exactly happens when a method is called? You may have noticed
|
||
that \code{x.f()} was called without an argument above, even though
|
||
the function definition for \method{f} specified an argument. What
|
||
happened to the argument? Surely Python raises an exception when a
|
||
function that requires an argument is called without any --- even if
|
||
the argument isn't actually used...
|
||
|
||
Actually, you may have guessed the answer: the special thing about
|
||
methods is that the object is passed as the first argument of the
|
||
function. In our example, the call \code{x.f()} is exactly equivalent
|
||
to \code{MyClass.f(x)}. In general, calling a method with a list of
|
||
\var{n} arguments is equivalent to calling the corresponding function
|
||
with an argument list that is created by inserting the method's object
|
||
before the first argument.
|
||
|
||
If you still don't understand how methods work, a look at the
|
||
implementation can perhaps clarify matters. When an instance
|
||
attribute is referenced that isn't a data attribute, its class is
|
||
searched. If the name denotes a valid class attribute that is a
|
||
function object, a method object is created by packing (pointers to)
|
||
the instance object and the function object just found together in an
|
||
abstract object: this is the method object. When the method object is
|
||
called with an argument list, it is unpacked again, a new argument
|
||
list is constructed from the instance object and the original argument
|
||
list, and the function object is called with this new argument list.
|
||
|
||
|
||
\section{Random Remarks \label{remarks}}
|
||
|
||
[These should perhaps be placed more carefully...]
|
||
|
||
|
||
Data attributes override method attributes with the same name; to
|
||
avoid accidental name conflicts, which may cause hard-to-find bugs in
|
||
large programs, it is wise to use some kind of convention that
|
||
minimizes the chance of conflicts, e.g., capitalize method names,
|
||
prefix data attribute names with a small unique string (perhaps just
|
||
an underscore), or use verbs for methods and nouns for data attributes.
|
||
|
||
|
||
Data attributes may be referenced by methods as well as by ordinary
|
||
users (``clients'') of an object. In other words, classes are not
|
||
usable to implement pure abstract data types. In fact, nothing in
|
||
Python makes it possible to enforce data hiding --- it is all based
|
||
upon convention. (On the other hand, the Python implementation,
|
||
written in C, can completely hide implementation details and control
|
||
access to an object if necessary; this can be used by extensions to
|
||
Python written in C.)
|
||
|
||
|
||
Clients should use data attributes with care --- clients may mess up
|
||
invariants maintained by the methods by stamping on their data
|
||
attributes. Note that clients may add data attributes of their own to
|
||
an instance object without affecting the validity of the methods, as
|
||
long as name conflicts are avoided --- again, a naming convention can
|
||
save a lot of headaches here.
|
||
|
||
|
||
There is no shorthand for referencing data attributes (or other
|
||
methods!) from within methods. I find that this actually increases
|
||
the readability of methods: there is no chance of confusing local
|
||
variables and instance variables when glancing through a method.
|
||
|
||
|
||
Conventionally, the first argument of methods is often called
|
||
\code{self}. This is nothing more than a convention: the name
|
||
\code{self} has absolutely no special meaning to Python. (Note,
|
||
however, that by not following the convention your code may be less
|
||
readable by other Python programmers, and it is also conceivable that
|
||
a \emph{class browser} program be written which relies upon such a
|
||
convention.)
|
||
|
||
|
||
Any function object that is a class attribute defines a method for
|
||
instances of that class. It is not necessary that the function
|
||
definition is textually enclosed in the class definition: assigning a
|
||
function object to a local variable in the class is also ok. For
|
||
example:
|
||
|
||
\begin{verbatim}
|
||
# Function defined outside the class
|
||
def f1(self, x, y):
|
||
return min(x, x+y)
|
||
|
||
class C:
|
||
f = f1
|
||
def g(self):
|
||
return 'hello world'
|
||
h = g
|
||
\end{verbatim}
|
||
|
||
Now \code{f}, \code{g} and \code{h} are all attributes of class
|
||
\class{C} that refer to function objects, and consequently they are all
|
||
methods of instances of \class{C} --- \code{h} being exactly equivalent
|
||
to \code{g}. Note that this practice usually only serves to confuse
|
||
the reader of a program.
|
||
|
||
|
||
Methods may call other methods by using method attributes of the
|
||
\code{self} argument, e.g.:
|
||
|
||
\begin{verbatim}
|
||
class Bag:
|
||
def __init__(self):
|
||
self.data = []
|
||
def add(self, x):
|
||
self.data.append(x)
|
||
def addtwice(self, x):
|
||
self.add(x)
|
||
self.add(x)
|
||
\end{verbatim}
|
||
|
||
Methods may reference global names in the same way as ordinary
|
||
functions. The global scope associated with a method is the module
|
||
containing the class definition. (The class itself is never used as a
|
||
global scope!) While one rarely encounters a good reason for using
|
||
global data in a method, there are many legitimate uses of the global
|
||
scope: for one thing, functions and modules imported into the global
|
||
scope can be used by methods, as well as functions and classes defined
|
||
in it. Usually, the class containing the method is itself defined in
|
||
this global scope, and in the next section we'll find some good
|
||
reasons why a method would want to reference its own class!
|
||
|
||
|
||
\section{Inheritance \label{inheritance}}
|
||
|
||
Of course, a language feature would not be worthy of the name ``class''
|
||
without supporting inheritance. The syntax for a derived class
|
||
definition looks as follows:
|
||
|
||
\begin{verbatim}
|
||
class DerivedClassName(BaseClassName):
|
||
<statement-1>
|
||
.
|
||
.
|
||
.
|
||
<statement-N>
|
||
\end{verbatim}
|
||
|
||
The name \class{BaseClassName} must be defined in a scope containing
|
||
the derived class definition. Instead of a base class name, an
|
||
expression is also allowed. This is useful when the base class is
|
||
defined in another module, e.g.,
|
||
|
||
\begin{verbatim}
|
||
class DerivedClassName(modname.BaseClassName):
|
||
\end{verbatim}
|
||
|
||
Execution of a derived class definition proceeds the same as for a
|
||
base class. When the class object is constructed, the base class is
|
||
remembered. This is used for resolving attribute references: if a
|
||
requested attribute is not found in the class, it is searched in the
|
||
base class. This rule is applied recursively if the base class itself
|
||
is derived from some other class.
|
||
|
||
There's nothing special about instantiation of derived classes:
|
||
\code{DerivedClassName()} creates a new instance of the class. Method
|
||
references are resolved as follows: the corresponding class attribute
|
||
is searched, descending down the chain of base classes if necessary,
|
||
and the method reference is valid if this yields a function object.
|
||
|
||
Derived classes may override methods of their base classes. Because
|
||
methods have no special privileges when calling other methods of the
|
||
same object, a method of a base class that calls another method
|
||
defined in the same base class, may in fact end up calling a method of
|
||
a derived class that overrides it. (For \Cpp{} programmers: all methods
|
||
in Python are effectively \keyword{virtual}.)
|
||
|
||
An overriding method in a derived class may in fact want to extend
|
||
rather than simply replace the base class method of the same name.
|
||
There is a simple way to call the base class method directly: just
|
||
call \samp{BaseClassName.methodname(self, arguments)}. This is
|
||
occasionally useful to clients as well. (Note that this only works if
|
||
the base class is defined or imported directly in the global scope.)
|
||
|
||
|
||
\subsection{Multiple Inheritance \label{multiple}}
|
||
|
||
Python supports a limited form of multiple inheritance as well. A
|
||
class definition with multiple base classes looks as follows:
|
||
|
||
\begin{verbatim}
|
||
class DerivedClassName(Base1, Base2, Base3):
|
||
<statement-1>
|
||
.
|
||
.
|
||
.
|
||
<statement-N>
|
||
\end{verbatim}
|
||
|
||
The only rule necessary to explain the semantics is the resolution
|
||
rule used for class attribute references. This is depth-first,
|
||
left-to-right. Thus, if an attribute is not found in
|
||
\class{DerivedClassName}, it is searched in \class{Base1}, then
|
||
(recursively) in the base classes of \class{Base1}, and only if it is
|
||
not found there, it is searched in \class{Base2}, and so on.
|
||
|
||
(To some people breadth first --- searching \class{Base2} and
|
||
\class{Base3} before the base classes of \class{Base1} --- looks more
|
||
natural. However, this would require you to know whether a particular
|
||
attribute of \class{Base1} is actually defined in \class{Base1} or in
|
||
one of its base classes before you can figure out the consequences of
|
||
a name conflict with an attribute of \class{Base2}. The depth-first
|
||
rule makes no differences between direct and inherited attributes of
|
||
\class{Base1}.)
|
||
|
||
It is clear that indiscriminate use of multiple inheritance is a
|
||
maintenance nightmare, given the reliance in Python on conventions to
|
||
avoid accidental name conflicts. A well-known problem with multiple
|
||
inheritance is a class derived from two classes that happen to have a
|
||
common base class. While it is easy enough to figure out what happens
|
||
in this case (the instance will have a single copy of ``instance
|
||
variables'' or data attributes used by the common base class), it is
|
||
not clear that these semantics are in any way useful.
|
||
|
||
|
||
\section{Private Variables \label{private}}
|
||
|
||
There is limited support for class-private
|
||
identifiers. Any identifier of the form \code{__spam} (at least two
|
||
leading underscores, at most one trailing underscore) is now textually
|
||
replaced with \code{_classname__spam}, where \code{classname} is the
|
||
current class name with leading underscore(s) stripped. This mangling
|
||
is done without regard of the syntactic position of the identifier, so
|
||
it can be used to define class-private instance and class variables,
|
||
methods, as well as globals, and even to store instance variables
|
||
private to this class on instances of \emph{other} classes. Truncation
|
||
may occur when the mangled name would be longer than 255 characters.
|
||
Outside classes, or when the class name consists of only underscores,
|
||
no mangling occurs.
|
||
|
||
Name mangling is intended to give classes an easy way to define
|
||
``private'' instance variables and methods, without having to worry
|
||
about instance variables defined by derived classes, or mucking with
|
||
instance variables by code outside the class. Note that the mangling
|
||
rules are designed mostly to avoid accidents; it still is possible for
|
||
a determined soul to access or modify a variable that is considered
|
||
private. This can even be useful, e.g. for the debugger, and that's
|
||
one reason why this loophole is not closed. (Buglet: derivation of a
|
||
class with the same name as the base class makes use of private
|
||
variables of the base class possible.)
|
||
|
||
Notice that code passed to \code{exec}, \code{eval()} or
|
||
\code{evalfile()} does not consider the classname of the invoking
|
||
class to be the current class; this is similar to the effect of the
|
||
\code{global} statement, the effect of which is likewise restricted to
|
||
code that is byte-compiled together. The same restriction applies to
|
||
\code{getattr()}, \code{setattr()} and \code{delattr()}, as well as
|
||
when referencing \code{__dict__} directly.
|
||
|
||
Here's an example of a class that implements its own
|
||
\method{__getattr__()} and \method{__setattr__()} methods and stores
|
||
all attributes in a private variable, in a way that works in all
|
||
versions of Python, including those available before this feature was
|
||
added:
|
||
|
||
\begin{verbatim}
|
||
class VirtualAttributes:
|
||
__vdict = None
|
||
__vdict_name = locals().keys()[0]
|
||
|
||
def __init__(self):
|
||
self.__dict__[self.__vdict_name] = {}
|
||
|
||
def __getattr__(self, name):
|
||
return self.__vdict[name]
|
||
|
||
def __setattr__(self, name, value):
|
||
self.__vdict[name] = value
|
||
\end{verbatim}
|
||
|
||
|
||
\section{Odds and Ends \label{odds}}
|
||
|
||
Sometimes it is useful to have a data type similar to the Pascal
|
||
``record'' or C ``struct'', bundling together a couple of named data
|
||
items. An empty class definition will do nicely, e.g.:
|
||
|
||
\begin{verbatim}
|
||
class Employee:
|
||
pass
|
||
|
||
john = Employee() # Create an empty employee record
|
||
|
||
# Fill the fields of the record
|
||
john.name = 'John Doe'
|
||
john.dept = 'computer lab'
|
||
john.salary = 1000
|
||
\end{verbatim}
|
||
|
||
A piece of Python code that expects a particular abstract data type
|
||
can often be passed a class that emulates the methods of that data
|
||
type instead. For instance, if you have a function that formats some
|
||
data from a file object, you can define a class with methods
|
||
\method{read()} and \method{readline()} that gets the data from a string
|
||
buffer instead, and pass it as an argument.% (Unfortunately, this
|
||
%technique has its limitations: a class can't define operations that
|
||
%are accessed by special syntax such as sequence subscripting or
|
||
%arithmetic operators, and assigning such a ``pseudo-file'' to
|
||
%\code{sys.stdin} will not cause the interpreter to read further input
|
||
%from it.)
|
||
|
||
|
||
Instance method objects have attributes, too: \code{m.im_self} is the
|
||
object of which the method is an instance, and \code{m.im_func} is the
|
||
function object corresponding to the method.
|
||
|
||
\subsection{Exceptions Can Be Classes \label{exceptionClasses}}
|
||
|
||
User-defined exceptions are no longer limited to being string objects
|
||
--- they can be identified by classes as well. Using this mechanism it
|
||
is possible to create extensible hierarchies of exceptions.
|
||
|
||
There are two new valid (semantic) forms for the raise statement:
|
||
|
||
\begin{verbatim}
|
||
raise Class, instance
|
||
|
||
raise instance
|
||
\end{verbatim}
|
||
|
||
In the first form, \code{instance} must be an instance of
|
||
\class{Class} or of a class derived from it. The second form is a
|
||
shorthand for:
|
||
|
||
\begin{verbatim}
|
||
raise instance.__class__, instance
|
||
\end{verbatim}
|
||
|
||
An except clause may list classes as well as string objects. A class
|
||
in an except clause is compatible with an exception if it is the same
|
||
class or a base class thereof (but not the other way around --- an
|
||
except clause listing a derived class is not compatible with a base
|
||
class). For example, the following code will print B, C, D in that
|
||
order:
|
||
|
||
\begin{verbatim}
|
||
class B:
|
||
pass
|
||
class C(B):
|
||
pass
|
||
class D(C):
|
||
pass
|
||
|
||
for c in [B, C, D]:
|
||
try:
|
||
raise c()
|
||
except D:
|
||
print "D"
|
||
except C:
|
||
print "C"
|
||
except B:
|
||
print "B"
|
||
\end{verbatim}
|
||
|
||
Note that if the except clauses were reversed (with
|
||
\samp{except B} first), it would have printed B, B, B --- the first
|
||
matching except clause is triggered.
|
||
|
||
When an error message is printed for an unhandled exception which is a
|
||
class, the class name is printed, then a colon and a space, and
|
||
finally the instance converted to a string using the built-in function
|
||
\function{str()}.
|
||
|
||
|
||
\chapter{What Now? \label{whatNow}}
|
||
|
||
Reading this tutorial has probably reinforced your interest in using
|
||
Python --- you should be eager to apply Python to solve your
|
||
real-world problems. Now what should you do?
|
||
|
||
You should read, or at least page through, the
|
||
\citetitle[../lib/lib.html]{Python Library Reference},
|
||
which gives complete (though terse) reference material about types,
|
||
functions, and modules that can save you a lot of time when writing
|
||
Python programs. The standard Python distribution includes a
|
||
\emph{lot} of code in both C and Python; there are modules to read
|
||
\UNIX{} mailboxes, retrieve documents via HTTP, generate random
|
||
numbers, parse command-line options, write CGI programs, compress
|
||
data, and a lot more; skimming through the Library Reference will give
|
||
you an idea of what's available.
|
||
|
||
The major Python Web site is \url{http://www.python.org/}; it contains
|
||
code, documentation, and pointers to Python-related pages around the
|
||
Web. This web site is mirrored in various places around the
|
||
world, such as Europe, Japan, and Australia; a mirror may be faster
|
||
than the main site, depending on your geographical location. A more
|
||
informal site is \url{http://starship.python.net/}, which contains a
|
||
bunch of Python-related personal home pages; many people have
|
||
downloadable software there.
|
||
|
||
For Python-related questions and problem reports, you can post to the
|
||
newsgroup \newsgroup{comp.lang.python}, or send them to the mailing
|
||
list at \email{python-list@python.org}. The newsgroup and mailing list
|
||
are gatewayed, so messages posted to one will automatically be
|
||
forwarded to the other. There are around 120 postings a day,
|
||
% Postings figure based on average of last six months activity as
|
||
% reported by www.egroups.com; Jan. 2000 - June 2000: 21272 msgs / 182
|
||
% days = 116.9 msgs / day and steadily increasing.
|
||
asking (and answering) questions, suggesting new features, and
|
||
announcing new modules. Before posting, be sure to check the list of
|
||
Frequently Asked Questions (also called the FAQ), at
|
||
\url{http://www.python.org/doc/FAQ.html}, or look for it in the
|
||
\file{Misc/} directory of the Python source distribution. Mailing
|
||
list archives are available at \url{http://www.python.org/pipermail/}.
|
||
The FAQ answers many of the questions that come up again and again,
|
||
and may already contain the solution for your problem.
|
||
|
||
|
||
\appendix
|
||
|
||
\chapter{Interactive Input Editing and History Substitution
|
||
\label{interacting}}
|
||
|
||
Some versions of the Python interpreter support editing of the current
|
||
input line and history substitution, similar to facilities found in
|
||
the Korn shell and the GNU Bash shell. This is implemented using the
|
||
\emph{GNU Readline} library, which supports Emacs-style and vi-style
|
||
editing. This library has its own documentation which I won't
|
||
duplicate here; however, the basics are easily explained. The
|
||
interactive editing and history described here are optionally
|
||
available in the \UNIX{} and CygWin versions of the interpreter.
|
||
|
||
This chapter does \emph{not} document the editing facilities of Mark
|
||
Hammond's PythonWin package or the Tk-based environment, IDLE,
|
||
distributed with Python. The command line history recall which
|
||
operates within DOS boxes on NT and some other DOS and Windows flavors
|
||
is yet another beast.
|
||
|
||
\section{Line Editing \label{lineEditing}}
|
||
|
||
If supported, input line editing is active whenever the interpreter
|
||
prints a primary or secondary prompt. The current line can be edited
|
||
using the conventional Emacs control characters. The most important
|
||
of these are: \kbd{C-A} (Control-A) moves the cursor to the beginning
|
||
of the line, \kbd{C-E} to the end, \kbd{C-B} moves it one position to
|
||
the left, \kbd{C-F} to the right. Backspace erases the character to
|
||
the left of the cursor, \kbd{C-D} the character to its right.
|
||
\kbd{C-K} kills (erases) the rest of the line to the right of the
|
||
cursor, \kbd{C-Y} yanks back the last killed string.
|
||
\kbd{C-underscore} undoes the last change you made; it can be repeated
|
||
for cumulative effect.
|
||
|
||
\section{History Substitution \label{history}}
|
||
|
||
History substitution works as follows. All non-empty input lines
|
||
issued are saved in a history buffer, and when a new prompt is given
|
||
you are positioned on a new line at the bottom of this buffer.
|
||
\kbd{C-P} moves one line up (back) in the history buffer,
|
||
\kbd{C-N} moves one down. Any line in the history buffer can be
|
||
edited; an asterisk appears in front of the prompt to mark a line as
|
||
modified. Pressing the \kbd{Return} key passes the current line to
|
||
the interpreter. \kbd{C-R} starts an incremental reverse search;
|
||
\kbd{C-S} starts a forward search.
|
||
|
||
\section{Key Bindings \label{keyBindings}}
|
||
|
||
The key bindings and some other parameters of the Readline library can
|
||
be customized by placing commands in an initialization file called
|
||
\file{\~{}/.inputrc}. Key bindings have the form
|
||
|
||
\begin{verbatim}
|
||
key-name: function-name
|
||
\end{verbatim}
|
||
|
||
or
|
||
|
||
\begin{verbatim}
|
||
"string": function-name
|
||
\end{verbatim}
|
||
|
||
and options can be set with
|
||
|
||
\begin{verbatim}
|
||
set option-name value
|
||
\end{verbatim}
|
||
|
||
For example:
|
||
|
||
\begin{verbatim}
|
||
# I prefer vi-style editing:
|
||
set editing-mode vi
|
||
|
||
# Edit using a single line:
|
||
set horizontal-scroll-mode On
|
||
|
||
# Rebind some keys:
|
||
Meta-h: backward-kill-word
|
||
"\C-u": universal-argument
|
||
"\C-x\C-r": re-read-init-file
|
||
\end{verbatim}
|
||
|
||
Note that the default binding for \kbd{Tab} in Python is to insert a
|
||
\kbd{Tab} character instead of Readline's default filename completion
|
||
function. If you insist, you can override this by putting
|
||
|
||
\begin{verbatim}
|
||
Tab: complete
|
||
\end{verbatim}
|
||
|
||
in your \file{\~{}/.inputrc}. (Of course, this makes it harder to
|
||
type indented continuation lines.)
|
||
|
||
Automatic completion of variable and module names is optionally
|
||
available. To enable it in the interpreter's interactive mode, add
|
||
the following to your startup file:\footnote{
|
||
Python will execute the contents of a file identified by the
|
||
\envvar{PYTHONSTARTUP} environment variable when you start an
|
||
interactive interpreter.}
|
||
\refstmodindex{rlcompleter}\refbimodindex{readline}
|
||
|
||
\begin{verbatim}
|
||
import rlcompleter, readline
|
||
readline.parse_and_bind('tab: complete')
|
||
\end{verbatim}
|
||
|
||
This binds the TAB key to the completion function, so hitting the TAB
|
||
key twice suggests completions; it looks at Python statement names,
|
||
the current local variables, and the available module names. For
|
||
dotted expressions such as \code{string.a}, it will evaluate the the
|
||
expression up to the final \character{.} and then suggest completions
|
||
from the attributes of the resulting object. Note that this may
|
||
execute application-defined code if an object with a
|
||
\method{__getattr__()} method is part of the expression.
|
||
|
||
|
||
\section{Commentary \label{commentary}}
|
||
|
||
This facility is an enormous step forward compared to earlier versions
|
||
of the interpreter; however, some wishes are left: It would be nice if
|
||
the proper indentation were suggested on continuation lines (the
|
||
parser knows if an indent token is required next). The completion
|
||
mechanism might use the interpreter's symbol table. A command to
|
||
check (or even suggest) matching parentheses, quotes, etc., would also
|
||
be useful.
|
||
|
||
|
||
\chapter{Floating Point Arithmetic: Issues and Limitations
|
||
\label{fp-issues}}
|
||
\sectionauthor{Tim Peters}{tim.one@home.com}
|
||
|
||
Floating-point numbers are represented in computer hardware as
|
||
base 2 (binary) fractions. For example, the decimal fraction
|
||
|
||
\begin{verbatim}
|
||
0.125
|
||
\end{verbatim}
|
||
|
||
has value 1/10 + 2/100 + 5/1000, and in the same way the binary fraction
|
||
|
||
\begin{verbatim}
|
||
0.001
|
||
\end{verbatim}
|
||
|
||
has value 0/2 + 0/4 + 1/8. These two fractions have identical values,
|
||
the only real difference being that the first is written in base 10
|
||
fractional notation, and the second in base 2.
|
||
|
||
Unfortunately, most decimal fractions cannot be represented exactly as
|
||
binary fractions. A consequence is that, in general, the decimal
|
||
floating-point numbers you enter are only approximated by the binary
|
||
floating-point numbers actually stored in the machine.
|
||
|
||
The problem is easier to understand at first in base 10. Consider the
|
||
fraction 1/3. You can approximate that as a base 10 fraction:
|
||
|
||
\begin{verbatim}
|
||
0.3
|
||
\end{verbatim}
|
||
|
||
or, better,
|
||
|
||
\begin{verbatim}
|
||
0.33
|
||
\end{verbatim}
|
||
|
||
or, better,
|
||
|
||
\begin{verbatim}
|
||
0.333
|
||
\end{verbatim}
|
||
|
||
and so on. No matter how many digits you're willing to write down, the
|
||
result will never be exactly 1/3, but will be an increasingly better
|
||
approximation to 1/3.
|
||
|
||
In the same way, no matter how many base 2 digits you're willing to
|
||
use, the decimal value 0.1 cannot be represented exactly as a base 2
|
||
fraction. In base 2, 1/10 is the infinitely repeating fraction
|
||
|
||
\begin{verbatim}
|
||
0.0001100110011001100110011001100110011001100110011...
|
||
\end{verbatim}
|
||
|
||
Stop at any finite number of bits, and you get an approximation. This
|
||
is why you see things like:
|
||
|
||
\begin{verbatim}
|
||
>>> 0.1
|
||
0.10000000000000001
|
||
\end{verbatim}
|
||
|
||
On most machines today, that is what you'll see if you enter 0.1 at
|
||
a Python prompt. You may not, though, because the number of bits
|
||
used by the hardware to store floating-point values can vary across
|
||
machines, and Python only prints a decimal approximation to the true
|
||
decimal value of the binary approximation stored by the machine. On
|
||
most machines, if Python were to print the true decimal value of
|
||
the binary approximation stored for 0.1, it would have to display
|
||
|
||
\begin{verbatim}
|
||
>>> 0.1
|
||
0.1000000000000000055511151231257827021181583404541015625
|
||
\end{verbatim}
|
||
|
||
instead! The Python prompt (implicitly) uses the builtin
|
||
\function{repr()} function to obtain a string version of everything it
|
||
displays. For floats, \code{repr(\var{float})} rounds the true
|
||
decimal value to 17 significant digits, giving
|
||
|
||
\begin{verbatim}
|
||
0.10000000000000001
|
||
\end{verbatim}
|
||
|
||
\code{repr(\var{float})} produces 17 significant digits because it
|
||
turns out that's enough (on most machines) so that
|
||
\code{eval(repr(\var{x})) == \var{x}} exactly for all finite floats
|
||
\var{x}, but rounding to 16 digits is not enough to make that true.
|
||
|
||
Note that this is in the very nature of binary floating-point: this is
|
||
not a bug in Python, it is not a bug in your code either, and you'll
|
||
see the same kind of thing in all languages that support your
|
||
hardware's floating-point arithmetic (although some languages may
|
||
not \emph{display} the difference by default, or in all output modes).
|
||
|
||
Python's builtin \function{str()} function produces only 12
|
||
significant digits, and you may wish to use that instead. It's
|
||
unusual for \code{eval(str(\var{x}))} to reproduce \var{x}, but the
|
||
output may be more pleasant to look at:
|
||
|
||
\begin{verbatim}
|
||
>>> print str(0.1)
|
||
0.1
|
||
\end{verbatim}
|
||
|
||
It's important to realize that this is, in a real sense, an illusion:
|
||
the value in the machine is not exactly 1/10, you're simply rounding
|
||
the \emph{display} of the true machine value.
|
||
|
||
Other surprises follow from this one. For example, after seeing
|
||
|
||
\begin{verbatim}
|
||
>>> 0.1
|
||
0.10000000000000001
|
||
\end{verbatim}
|
||
|
||
you may be tempted to use the \function{round()} function to chop it
|
||
back to the single digit you expect. But that makes no difference:
|
||
|
||
\begin{verbatim}
|
||
>>> round(0.1, 1)
|
||
0.10000000000000001
|
||
\end{verbatim}
|
||
|
||
The problem is that the binary floating-point value stored for "0.1"
|
||
was already the best possible binary approximation to 1/10, so trying
|
||
to round it again can't make it better: it was already as good as it
|
||
gets.
|
||
|
||
Another consequence is that since 0.1 is not exactly 1/10, adding 0.1
|
||
to itself 10 times may not yield exactly 1.0, either:
|
||
|
||
\begin{verbatim}
|
||
>>> sum = 0.0
|
||
>>> for i in range(10):
|
||
... sum += 0.1
|
||
...
|
||
>>> sum
|
||
0.99999999999999989
|
||
\end{verbatim}
|
||
|
||
Binary floating-point arithmetic holds many surprises like this. The
|
||
problem with "0.1" is explained in precise detail below, in the
|
||
"Representation Error" section. See
|
||
\citetitle[http://www.lahey.com/float.htm]{The Perils of Floating
|
||
Point} for a more complete account of other common surprises.
|
||
|
||
As that says near the end, ``there are no easy answers.'' Still,
|
||
don't be unduly wary of floating-point! The errors in Python float
|
||
operations are inherited from the floating-point hardware, and on most
|
||
machines are on the order of no more than 1 part in 2**53 per
|
||
operation. That's more than adequate for most tasks, but you do need
|
||
to keep in mind that it's not decimal arithmetic, and that every float
|
||
operation can suffer a new rounding error.
|
||
|
||
While pathological cases do exist, for most casual use of
|
||
floating-point arithmetic you'll see the result you expect in the end
|
||
if you simply round the display of your final results to the number of
|
||
decimal digits you expect. \function{str()} usually suffices, and for
|
||
finer control see the discussion of Pythons's \code{\%} format
|
||
operator: the \code{\%g}, \code{\%f} and \code{\%e} format codes
|
||
supply flexible and easy ways to round float results for display.
|
||
|
||
|
||
\section{Representation Error
|
||
\label{fp-error}}
|
||
|
||
This section explains the ``0.1'' example in detail, and shows how
|
||
you can perform an exact analysis of cases like this yourself. Basic
|
||
familiarity with binary floating-point representation is assumed.
|
||
|
||
\dfn{Representation error} refers to that some (most, actually)
|
||
decimal fractions cannot be represented exactly as binary (base 2)
|
||
fractions. This is the chief reason why Python (or Perl, C, \Cpp,
|
||
Java, Fortran, and many others) often won't display the exact decimal
|
||
number you expect:
|
||
|
||
\begin{verbatim}
|
||
>>> 0.1
|
||
0.10000000000000001
|
||
\end{verbatim}
|
||
|
||
Why is that? 1/10 is not exactly representable as a binary fraction.
|
||
Almost all machines today (November 2000) use IEEE-754 floating point
|
||
arithmetic, and almost all platforms map Python floats to IEEE-754
|
||
"double precision". 754 doubles contain 53 bits of precision, so on
|
||
input the computer strives to convert 0.1 to the closest fraction it can
|
||
of the form \var{J}/2**\var{N} where \var{J} is an integer containing
|
||
exactly 53 bits. Rewriting
|
||
|
||
\begin{verbatim}
|
||
1 / 10 ~= J / (2**N)
|
||
\end{verbatim}
|
||
|
||
as
|
||
|
||
\begin{verbatim}
|
||
J ~= 2**N / 10
|
||
\end{verbatim}
|
||
|
||
and recalling that \var{J} has exactly 53 bits (is \code{>= 2**52} but
|
||
\code{< 2**53}), the best value for \var{N} is 56:
|
||
|
||
\begin{verbatim}
|
||
>>> 2L**52
|
||
4503599627370496L
|
||
>>> 2L**53
|
||
9007199254740992L
|
||
>>> 2L**56/10
|
||
7205759403792793L
|
||
\end{verbatim}
|
||
|
||
That is, 56 is the only value for \var{N} that leaves \var{J} with
|
||
exactly 53 bits. The best possible value for \var{J} is then that
|
||
quotient rounded:
|
||
|
||
\begin{verbatim}
|
||
>>> q, r = divmod(2L**56, 10)
|
||
>>> r
|
||
6L
|
||
\end{verbatim}
|
||
|
||
Since the remainder is more than half of 10, the best approximation is
|
||
obtained by rounding up:
|
||
|
||
\begin{verbatim}
|
||
>>> q+1
|
||
7205759403792794L
|
||
\end{verbatim}
|
||
|
||
Therefore the best possible approximation to 1/10 in 754 double
|
||
precision is that over 2**56, or
|
||
|
||
\begin{verbatim}
|
||
7205759403792794 / 72057594037927936
|
||
\end{verbatim}
|
||
|
||
Note that since we rounded up, this is actually a little bit larger than
|
||
1/10; if we had not rounded up, the quotient would have been a little
|
||
bit smaller than 1/10. But in no case can it be \emph{exactly} 1/10!
|
||
|
||
So the computer never ``sees'' 1/10: what it sees is the exact
|
||
fraction given above, the best 754 double approximation it can get:
|
||
|
||
\begin{verbatim}
|
||
>>> .1 * 2L**56
|
||
7205759403792794.0
|
||
\end{verbatim}
|
||
|
||
If we multiply that fraction by 10**30, we can see the (truncated)
|
||
value of its 30 most significant decimal digits:
|
||
|
||
\begin{verbatim}
|
||
>>> 7205759403792794L * 10L**30 / 2L**56
|
||
100000000000000005551115123125L
|
||
\end{verbatim}
|
||
|
||
meaning that the exact number stored in the computer is approximately
|
||
equal to the decimal value 0.100000000000000005551115123125. Rounding
|
||
that to 17 significant digits gives the 0.10000000000000001 that Python
|
||
displays (well, will display on any 754-conforming platform that does
|
||
best-possible input and output conversions in its C library --- yours may
|
||
not!).
|
||
|
||
\end{document}
|