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author | Raymond Hettinger <python@rcn.com> | 2004-12-02 08:57:19 (GMT) |
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committer | Raymond Hettinger <python@rcn.com> | 2004-12-02 08:57:19 (GMT) |
commit | 5a5bbfb2d4049ae50349e0eda791c1161080c68d (patch) | |
tree | ec01594ace4d430c9d57b7f4965c551b5f809c65 /Doc | |
parent | bc5d74b291f8db40d11cac8e418373255d2408e9 (diff) | |
download | cpython-5a5bbfb2d4049ae50349e0eda791c1161080c68d.zip cpython-5a5bbfb2d4049ae50349e0eda791c1161080c68d.tar.gz cpython-5a5bbfb2d4049ae50349e0eda791c1161080c68d.tar.bz2 |
Backport minor documentation fixups.
Diffstat (limited to 'Doc')
-rw-r--r-- | Doc/lib/libstdtypes.tex | 2 | ||||
-rw-r--r-- | Doc/tut/glossary.tex | 33 | ||||
-rw-r--r-- | Doc/tut/tut.tex | 158 |
3 files changed, 104 insertions, 89 deletions
diff --git a/Doc/lib/libstdtypes.tex b/Doc/lib/libstdtypes.tex index 3cb2e5c..09ef2f2 100644 --- a/Doc/lib/libstdtypes.tex +++ b/Doc/lib/libstdtypes.tex @@ -1107,7 +1107,7 @@ Notes: \var{key} specifies a function of one argument that is used to extract a comparison key from each list element: - \samp{\var{cmp}=\function{str.lower}} + \samp{\var{key}=\function{str.lower}} \var{reverse} is a boolean value. If set to \code{True}, then the list elements are sorted as if each comparison were reversed. diff --git a/Doc/tut/glossary.tex b/Doc/tut/glossary.tex index 538c5ea..b0ac97f 100644 --- a/Doc/tut/glossary.tex +++ b/Doc/tut/glossary.tex @@ -40,7 +40,7 @@ Any class which does not inherit from \class{object}. See The implicit conversion of an instance of one type to another during an operation which involves two arguments of the same type. For example, -{}\code{int(3.15)} converts the floating point number to the integer, +{}\code{int(3.15)} converts the floating point number to the integer {}\code{3}, but in {}\code{3+4.5}, each argument is of a different type (one int, one float), and both must be converted to the same type before they can be added or it will raise a {}\code{TypeError}. Coercion between two @@ -169,7 +169,7 @@ sophisticated, multi-platform GUI application. An object with fixed value. Immutable objects are numbers, strings or tuples (and more). Such an object cannot be altered. A new object has to be created if a different value has to be stored. They play an -important role in places where a constant hash value is needed. For +important role in places where a constant hash value is needed, for example as a key in a dictionary. \index{integer division} @@ -189,7 +189,7 @@ operator. See also \emph{__future__}. \index{interactive} \item[interactive] Python has an interactive interpreter which means that you can try out -things and directly see its result. Just launch \code{python} with no +things and immediately see their results. Just launch \code{python} with no arguments (possibly by selecting it from your computer's main menu). It is a very powerful way to test out new ideas or inspect modules and packages (remember \code{help(x)}). @@ -235,7 +235,7 @@ code that attempts multiple iteration passes. A container object (such as a \class{list}) produces a fresh new iterator each time you pass it to the \function{iter()} function or use it in a {}\keyword{for} loop. Attempting this with an iterator will just -return the same exhausted iterator object from the second iteration +return the same exhausted iterator object used in the previous iteration pass, making it appear like an empty container. \index{list comprehension} @@ -245,7 +245,15 @@ return a list with the results. \code{result = ["0x\%02x" \% x for x in range(256) if x \% 2 == 0]} generates a list of strings containing hex numbers (0x..) that are even and in the range from 0 to 255. The \keyword{if} clause is optional. If omitted, all elements in -{}\code{range(256)} are processed in that case. +{}\code{range(256)} are processed. + + +\index{LBYL} +\item[LBYL] +Look before you leap. This coding style explicitly tests for +pre-conditions before making calls or lookups. This style contrasts +with the \emph{EAFP} approach and is characterized by the presence of +many \keyword{if} statements. \index{mapping} \item[mapping] @@ -265,13 +273,6 @@ have been used for logging attribute access, adding thread-safety, tracking object creation, implementing singletons, and many other tasks. -\index{LBYL} -\item[LBYL] -Look before you leap. This coding style explicitly tests for -pre-conditions before making calls or lookups. This style contrasts -with the \emph{EAFP} approach and is characterized the presence of -many \keyword{if} statements. - \index{mutable} \item[mutable] Mutable objects can change their value but keep their \function{id()}. @@ -280,8 +281,8 @@ See also \emph{immutable}. \index{namespace} \item[namespace] The place where a variable is stored. Namespaces are implemented as -dictionary. There is the local, global and builtins namespace and the -nested namespaces in objects (in methods). Namespaces support +dictionaries. There are the local, global and builtin namespaces +as well asnested namespaces in objects (in methods). Namespaces support modularity by preventing naming conflicts. For instance, the functions \function{__builtin__.open()} and \function{os.open()} are distinguished by their namespaces. Namespaces also aid readability @@ -312,7 +313,7 @@ classes can use Python's newer, versatile features like \index{Python3000} \item[Python3000] -A mythical python release, allowed not to be backward compatible, with +A mythical python release, not required be backward compatible, with telepathic interface. \index{__slots__} @@ -321,7 +322,7 @@ A declaration inside a \emph{new-style class} that saves memory by pre-declaring space for instance attributes and eliminating instance dictionaries. Though popular, the technique is somewhat tricky to get right and is best reserved for rare cases where there are large -numbers of instances in a memory critical application. +numbers of instances in a memory-critical application. \index{sequence} \item[sequence] diff --git a/Doc/tut/tut.tex b/Doc/tut/tut.tex index df798b4..aae2763 100644 --- a/Doc/tut/tut.tex +++ b/Doc/tut/tut.tex @@ -33,7 +33,7 @@ on most platforms. The Python interpreter and the extensive standard library are freely available in source or binary form for all major platforms from the -Python Web site, \url{http://www.python.org/}, and can be freely +Python Web site, \url{http://www.python.org/}, and may be freely distributed. The same site also contains distributions of and pointers to many free third party Python modules, programs and tools, and additional documentation. @@ -84,7 +84,7 @@ sufficiently familiar with C. 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 +need to develop software more quickly. Possibly you've written a program that could use an extension language, and you don't want to design a language, write and debug an interpreter for it, then tie it into your application. @@ -103,8 +103,8 @@ in Python as in those languages. 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 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, +as examples to start learning to program in Python. Some of these +modules provide things like file I/O, system calls, sockets, and even interfaces to graphical user interface toolkits like Tk. Python is an interpreted language, which can save you considerable time @@ -145,7 +145,7 @@ it is encouraged! Now that you are all excited about Python, you'll want to examine it in some more detail. Since the best way to learn a language is -using it, you are invited here to do so. +using it, you are invited to do so with this tutorial. In the next chapter, the mechanics of using the interpreter are explained. This is rather mundane information, but essential for @@ -603,7 +603,7 @@ several lines of text just as you would do in C.\n\ print hello \end{verbatim} -Note that newlines would still need to be embedded in the string using +Note that newlines still need to be embedded in the string using \code{\e n}; the newline following the trailing backslash is discarded. This example would print the following: @@ -847,7 +847,7 @@ The built-in function \function{len()} returns the length of a string: 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 +and integrates well with the existing string objects, providing auto-conversions where necessary. Unicode has the advantage of providing one ordinal for every character @@ -978,8 +978,8 @@ concatenated and so on: ['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!'] +>>> 3*a[:3] + ['Boo!'] +['spam', 'eggs', 100, 'spam', 'eggs', 100, 'spam', 'eggs', 100, 'Boo!'] \end{verbatim} Unlike strings, which are \emph{immutable}, it is possible to change @@ -1553,8 +1553,9 @@ TypeError: function() got multiple values for keyword argument 'a' \end{verbatim} When a final formal parameter of the form \code{**\var{name}} is -present, it receives a \ulink{dictionary}{../lib/typesmapping.html} containing all keyword arguments -whose keyword doesn't correspond to a formal parameter. This may be +present, it receives a \ulink{dictionary}{../lib/typesmapping.html} +containing all keyword arguments except for those corresponding 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 @@ -1883,8 +1884,8 @@ is shorter than another). For example: [0, 2, 4, 6, 8, 10, 12, 14] \end{verbatim} -\samp{reduce(\var{func}, \var{sequence})} returns a single value -constructed by calling the binary function \var{func} on the first two +\samp{reduce(\var{function}, \var{sequence})} returns a single value +constructed by calling the binary function \var{function} 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: @@ -2174,10 +2175,14 @@ pattern, list comprehensions can compactly specify the key-value list. \begin{verbatim} >>> dict([('sape', 4139), ('guido', 4127), ('jack', 4098)]) {'sape': 4139, 'jack': 4098, 'guido': 4127} ->>> dict([(x, x**2) for x in vec]) # use a list comprehension +>>> dict([(x, x**2) for x in (2, 4, 6)]) # use a list comprehension {2: 4, 4: 16, 6: 36} \end{verbatim} +Later in the tutorial, we will learn about Generator Expressions +which are even better suited for the task of supplying key-values pairs to +the \function{dict()} constructor. + \section{Looping Techniques \label{loopidioms}} @@ -2635,7 +2640,7 @@ currently: >>> import fibo, sys >>> fib = fibo.fib >>> dir() -['__name__', 'a', 'fib', 'fibo', 'sys'] +['__builtins__', '__doc__', '__file__', '__name__', 'fib', 'fib2'] \end{verbatim} Note that it lists all types of names: variables, modules, functions, etc. @@ -2647,27 +2652,29 @@ standard module \module{__builtin__}\refbimodindex{__builtin__}: \begin{verbatim} >>> import __builtin__ >>> dir(__builtin__) -['ArithmeticError', 'AssertionError', 'AttributeError', - 'DeprecationWarning', 'EOFError', 'Ellipsis', 'EnvironmentError', - 'Exception', 'False', 'FloatingPointError', 'IOError', 'ImportError', +['ArithmeticError', 'AssertionError', 'AttributeError', 'DeprecationWarning', + 'EOFError', 'Ellipsis', 'EnvironmentError', 'Exception', 'False', + 'FloatingPointError', 'FutureWarning', 'IOError', 'ImportError', 'IndentationError', 'IndexError', 'KeyError', 'KeyboardInterrupt', 'LookupError', 'MemoryError', 'NameError', 'None', 'NotImplemented', 'NotImplementedError', 'OSError', 'OverflowError', 'OverflowWarning', - 'PendingDeprecationWarning', 'ReferenceError', - 'RuntimeError', 'RuntimeWarning', 'StandardError', 'StopIteration', - 'SyntaxError', 'SyntaxWarning', 'SystemError', 'SystemExit', 'TabError', - 'True', 'TypeError', 'UnboundLocalError', 'UnicodeError', 'UserWarning', - 'ValueError', 'Warning', 'ZeroDivisionError', '__debug__', '__doc__', - '__import__', '__name__', 'abs', 'apply', 'bool', 'buffer', - 'callable', 'chr', 'classmethod', 'cmp', 'coerce', 'compile', 'complex', - 'copyright', 'credits', 'delattr', 'dict', 'dir', 'divmod', + 'PendingDeprecationWarning', 'ReferenceError', 'RuntimeError', + 'RuntimeWarning', 'StandardError', 'StopIteration', 'SyntaxError', + 'SyntaxWarning', 'SystemError', 'SystemExit', 'TabError', 'True', + 'TypeError', 'UnboundLocalError', 'UnicodeDecodeError', + 'UnicodeEncodeError', 'UnicodeError', 'UnicodeTranslateError', + 'UserWarning', 'ValueError', 'Warning', 'WindowsError', + 'ZeroDivisionError', '_', '__debug__', '__doc__', '__import__', + '__name__', 'abs', 'apply', 'basestring', 'bool', 'buffer', + 'callable', 'chr', 'classmethod', 'cmp', 'coerce', 'compile', + 'complex', 'copyright', 'credits', 'delattr', 'dict', 'dir', 'divmod', 'enumerate', 'eval', 'execfile', 'exit', 'file', 'filter', 'float', - 'getattr', 'globals', 'hasattr', 'hash', 'help', 'hex', 'id', - 'input', 'int', 'intern', 'isinstance', 'issubclass', 'iter', + 'frozenset', 'getattr', 'globals', 'hasattr', 'hash', 'help', 'hex', + 'id', 'input', 'int', 'intern', 'isinstance', 'issubclass', 'iter', 'len', 'license', 'list', 'locals', 'long', 'map', 'max', 'min', - 'object', 'oct', 'open', 'ord', 'pow', 'property', 'quit', - 'range', 'raw_input', 'reduce', 'reload', 'repr', 'round', - 'setattr', 'slice', 'staticmethod', 'str', 'string', 'sum', 'super', + 'object', 'oct', 'open', 'ord', 'pow', 'property', 'quit', 'range', + 'raw_input', 'reduce', 'reload', 'repr', 'reversed', 'round', 'set', + 'setattr', 'slice', 'sorted', 'staticmethod', 'str', 'sum', 'super', 'tuple', 'type', 'unichr', 'unicode', 'vars', 'xrange', 'zip'] \end{verbatim} @@ -2824,8 +2831,8 @@ 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 +package \module{Sound.Effects} has been imported (possibly running any +initialization code in \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 @@ -2907,7 +2914,7 @@ 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 +layout 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 @@ -3322,8 +3329,8 @@ 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 rest of the line provides detail based on the type of exception +and what caused it. The preceding part of the error message shows the context where the exception happened, in the form of a stack backtrace. @@ -3367,9 +3374,8 @@ 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. +after the \keyword{except} keyword, 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 @@ -3480,7 +3486,7 @@ For example: ... except ZeroDivisionError, detail: ... print 'Handling run-time error:', detail ... -Handling run-time error: integer division or modulo +Handling run-time error: integer division or modulo by zero \end{verbatim} @@ -3499,7 +3505,9 @@ NameError: HiThere The first argument to \keyword{raise} names the exception to be raised. The optional second argument specifies the exception's -argument. +argument. Alternatively, the above could be written as +\code{raise NameError('HiThere')}. Either form works fine, but there +seems to be a growing stylistic preference for the latter. If you need to determine whether an exception was raised but don't intend to handle it, a simpler form of the \keyword{raise} statement @@ -3545,10 +3553,14 @@ Traceback (most recent call last): __main__.MyError: 'oops!' \end{verbatim} +In this example, the default \method{__init__} of \class{Exception} has +been overriden. The new behavior simply creates the \var{value} attribute. +This replaces the default behavior of creating the \var{args} attribute. + Exception classes can be defined which do anything any other class can do, but are usually kept simple, often only offering a number of attributes that allow information about the error to be extracted by -handlers for the exception. When creating a module which can raise +handlers for the exception. When creating a module that can raise several distinct errors, a common practice is to create a base class for exceptions defined by that module, and subclass that to create specific exception classes for different error conditions: @@ -3623,7 +3635,8 @@ resources (such as files or network connections), regardless of whether or not the use of the resource was successful. A \keyword{try} statement must either have one or more except clauses -or one finally clause, but not both. +or one finally clause, but not both (because it would be unclear which +clause should be executed). \chapter{Classes \label{classes}} @@ -3825,7 +3838,7 @@ 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 +(the one in effect just before the class definitions were 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). @@ -3907,9 +3920,9 @@ example, 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. +two kinds of valid attribute names, data attributes and methods. -The first I'll call \emph{data attributes}. These correspond to +\emph{data attributes} 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 @@ -3925,16 +3938,16 @@ 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 +The other kind of instance attribute references is a \emph{method}. +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. For example, 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.) +in the following discussion, 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 +definition, all attributes of a class that are 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 @@ -4029,12 +4042,12 @@ 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 +Conventionally, the first argument of a method 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 +readable to other Python programmers, and it is also conceivable that +a \emph{class browser} program might be written that relies upon such a convention.) @@ -4180,6 +4193,7 @@ 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. +%% XXX Add rules for new-style MRO? \section{Private Variables \label{private}} @@ -4188,9 +4202,9 @@ identifiers. Any identifier of the form \code{__spam} (at least two leading underscores, at most one trailing underscore) is 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 +is done without regard to 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 +methods, variables stored in globals, and even variables stored in instances. 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, @@ -4219,7 +4233,7 @@ when referencing \code{__dict__} directly. \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 +``record'' or C ``struct'', bundling together a few named data items. An empty class definition will do nicely: \begin{verbatim} @@ -4238,7 +4252,7 @@ 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 +\method{read()} and \method{readline()} that get 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 @@ -4248,7 +4262,7 @@ buffer instead, and pass it as an argument.% (Unfortunately, this 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 +instance object with the method \method{m}, and \code{m.im_func} is the function object corresponding to the method. @@ -4413,7 +4427,7 @@ created automatically. Another key feature is that the local variables and execution state are automatically saved between calls. This made the function easier to write -and much more clear than an approach using class variables like +and much more clear than an approach using instance variables like \code{self.index} and \code{self.data}. In addition to automatic method creation and saving program state, when @@ -4517,7 +4531,7 @@ wildcard searches: \section{Command Line Arguments\label{command-line-arguments}} -Common utility scripts often invoke processing command line arguments. +Common utility scripts often need to process command line arguments. These arguments are stored in the \ulink{\module{sys}}{../lib/module-sys.html}\ module's \var{argv} attribute as a list. For instance the following output results from @@ -4544,7 +4558,7 @@ module also has attributes for \var{stdin}, \var{stdout}, and messages to make them visible even when \var{stdout} has been redirected: \begin{verbatim} ->>> sys.stderr.write('Warning, log file not found starting a new one') +>>> sys.stderr.write('Warning, log file not found starting a new one\n') Warning, log file not found starting a new one \end{verbatim} @@ -4623,7 +4637,7 @@ for sending mail: >>> import smtplib >>> server = smtplib.SMTP('localhost') >>> server.sendmail('soothsayer@example.org', 'jceasar@example.org', -"""To: jceasar@example.org +"""To: jcaesar@example.org From: soothsayer@example.org Beware the Ides of March. @@ -4647,8 +4661,8 @@ that are time zone aware. >>> now = date.today() >>> now datetime.date(2003, 12, 2) ->>> now.strftime("%m-%d-%y or %d%b %Y is a %A on the %d day of %B") -'12-02-03 or 02Dec 2003 is a Tuesday on the 02 day of December' +>>> now.strftime("%m-%d-%y. %d %b %Y is a %A on the %d day of %B.") +'12-02-03. 02 Dec 2003 is a Tuesday on the 02 day of December.' # dates support calendar arithmetic >>> birthday = date(1964, 7, 31) @@ -4678,8 +4692,8 @@ by modules including: 37 >>> zlib.decompress(t) 'witch which has which witches wrist watch' ->>> zlib.crc32(t) --1438085031 +>>> zlib.crc32(s) +226805979 \end{verbatim} @@ -5206,7 +5220,7 @@ Decimal("0.142857142857142857142857142857142857") \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 +Python --- you should be eager to apply Python to solving your real-world problems. Now what should you do? You should read, or at least page through, the @@ -5369,7 +5383,7 @@ A more capable startup file might look like this example. Note that this deletes the names it creates once they are no longer needed; this is done since the startup file is executed in the same namespace as the interactive commands, and removing the names avoids creating side -effects in the interactive environments. You may find it convenient +effects in the interactive environment. You may find it convenient to keep some of the imported modules, such as \ulink{\module{os}}{../lib/module-os.html}, which turn out to be needed in most sessions with the interpreter. @@ -5461,7 +5475,7 @@ or, better, 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. +approximation of 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 @@ -5507,7 +5521,7 @@ turns out that's enough (on most machines) so that \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 +not a bug in Python, it is not a bug in your code either. 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). @@ -5621,7 +5635,7 @@ 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 +>>> 2**52 4503599627370496L >>> 2L**53 9007199254740992L |