/Doc/reference/lexical_analysis.rst
http://unladen-swallow.googlecode.com/ · ReStructuredText · 764 lines · 569 code · 195 blank · 0 comment · 0 complexity · 2d2b082c3b7944d650aa47971f87d75c MD5 · raw file
- .. _lexical:
- ****************
- Lexical analysis
- ****************
- .. index::
- single: lexical analysis
- single: parser
- single: token
- A Python program is read by a *parser*. Input to the parser is a stream of
- *tokens*, generated by the *lexical analyzer*. This chapter describes how the
- lexical analyzer breaks a file into tokens.
- Python uses the 7-bit ASCII character set for program text.
- .. versionadded:: 2.3
- An encoding declaration can be used to indicate that string literals and
- comments use an encoding different from ASCII.
- For compatibility with older versions, Python only warns if it finds 8-bit
- characters; those warnings should be corrected by either declaring an explicit
- encoding, or using escape sequences if those bytes are binary data, instead of
- characters.
- The run-time character set depends on the I/O devices connected to the program
- but is generally a superset of ASCII.
- **Future compatibility note:** It may be tempting to assume that the character
- set for 8-bit characters is ISO Latin-1 (an ASCII superset that covers most
- western languages that use the Latin alphabet), but it is possible that in the
- future Unicode text editors will become common. These generally use the UTF-8
- encoding, which is also an ASCII superset, but with very different use for the
- characters with ordinals 128-255. While there is no consensus on this subject
- yet, it is unwise to assume either Latin-1 or UTF-8, even though the current
- implementation appears to favor Latin-1. This applies both to the source
- character set and the run-time character set.
- .. _line-structure:
- Line structure
- ==============
- .. index:: single: line structure
- A Python program is divided into a number of *logical lines*.
- .. _logical:
- Logical lines
- -------------
- .. index::
- single: logical line
- single: physical line
- single: line joining
- single: NEWLINE token
- The end of a logical line is represented by the token NEWLINE. Statements
- cannot cross logical line boundaries except where NEWLINE is allowed by the
- syntax (e.g., between statements in compound statements). A logical line is
- constructed from one or more *physical lines* by following the explicit or
- implicit *line joining* rules.
- .. _physical:
- Physical lines
- --------------
- A physical line is a sequence of characters terminated by an end-of-line
- sequence. In source files, any of the standard platform line termination
- sequences can be used - the Unix form using ASCII LF (linefeed), the Windows
- form using the ASCII sequence CR LF (return followed by linefeed), or the old
- Macintosh form using the ASCII CR (return) character. All of these forms can be
- used equally, regardless of platform.
- When embedding Python, source code strings should be passed to Python APIs using
- the standard C conventions for newline characters (the ``\n`` character,
- representing ASCII LF, is the line terminator).
- .. _comments:
- Comments
- --------
- .. index::
- single: comment
- single: hash character
- A comment starts with a hash character (``#``) that is not part of a string
- literal, and ends at the end of the physical line. A comment signifies the end
- of the logical line unless the implicit line joining rules are invoked. Comments
- are ignored by the syntax; they are not tokens.
- .. _encodings:
- Encoding declarations
- ---------------------
- .. index::
- single: source character set
- single: encodings
- If a comment in the first or second line of the Python script matches the
- regular expression ``coding[=:]\s*([-\w.]+)``, this comment is processed as an
- encoding declaration; the first group of this expression names the encoding of
- the source code file. The recommended forms of this expression are ::
- # -*- coding: <encoding-name> -*-
- which is recognized also by GNU Emacs, and ::
- # vim:fileencoding=<encoding-name>
- which is recognized by Bram Moolenaar's VIM. In addition, if the first bytes of
- the file are the UTF-8 byte-order mark (``'\xef\xbb\xbf'``), the declared file
- encoding is UTF-8 (this is supported, among others, by Microsoft's
- :program:`notepad`).
- If an encoding is declared, the encoding name must be recognized by Python. The
- encoding is used for all lexical analysis, in particular to find the end of a
- string, and to interpret the contents of Unicode literals. String literals are
- converted to Unicode for syntactical analysis, then converted back to their
- original encoding before interpretation starts. The encoding declaration must
- appear on a line of its own.
- .. XXX there should be a list of supported encodings.
- .. _explicit-joining:
- Explicit line joining
- ---------------------
- .. index::
- single: physical line
- single: line joining
- single: line continuation
- single: backslash character
- Two or more physical lines may be joined into logical lines using backslash
- characters (``\``), as follows: when a physical line ends in a backslash that is
- not part of a string literal or comment, it is joined with the following forming
- a single logical line, deleting the backslash and the following end-of-line
- character. For example::
- if 1900 < year < 2100 and 1 <= month <= 12 \
- and 1 <= day <= 31 and 0 <= hour < 24 \
- and 0 <= minute < 60 and 0 <= second < 60: # Looks like a valid date
- return 1
- A line ending in a backslash cannot carry a comment. A backslash does not
- continue a comment. A backslash does not continue a token except for string
- literals (i.e., tokens other than string literals cannot be split across
- physical lines using a backslash). A backslash is illegal elsewhere on a line
- outside a string literal.
- .. _implicit-joining:
- Implicit line joining
- ---------------------
- Expressions in parentheses, square brackets or curly braces can be split over
- more than one physical line without using backslashes. For example::
- month_names = ['Januari', 'Februari', 'Maart', # These are the
- 'April', 'Mei', 'Juni', # Dutch names
- 'Juli', 'Augustus', 'September', # for the months
- 'Oktober', 'November', 'December'] # of the year
- Implicitly continued lines can carry comments. The indentation of the
- continuation lines is not important. Blank continuation lines are allowed.
- There is no NEWLINE token between implicit continuation lines. Implicitly
- continued lines can also occur within triple-quoted strings (see below); in that
- case they cannot carry comments.
- .. _blank-lines:
- Blank lines
- -----------
- .. index:: single: blank line
- A logical line that contains only spaces, tabs, formfeeds and possibly a
- comment, is ignored (i.e., no NEWLINE token is generated). During interactive
- input of statements, handling of a blank line may differ depending on the
- implementation of the read-eval-print loop. In the standard implementation, an
- entirely blank logical line (i.e. one containing not even whitespace or a
- comment) terminates a multi-line statement.
- .. _indentation:
- Indentation
- -----------
- .. index::
- single: indentation
- single: whitespace
- single: leading whitespace
- single: space
- single: tab
- single: grouping
- single: statement grouping
- Leading whitespace (spaces and tabs) at the beginning of a logical line is used
- to compute the indentation level of the line, which in turn is used to determine
- the grouping of statements.
- First, tabs are replaced (from left to right) by one to eight spaces such that
- the total number of characters up to and including the replacement is a multiple
- of eight (this is intended to be the same rule as used by Unix). The total
- number of spaces preceding the first non-blank character then determines the
- line's indentation. Indentation cannot be split over multiple physical lines
- using backslashes; the whitespace up to the first backslash determines the
- indentation.
- **Cross-platform compatibility note:** because of the nature of text editors on
- non-UNIX platforms, it is unwise to use a mixture of spaces and tabs for the
- indentation in a single source file. It should also be noted that different
- platforms may explicitly limit the maximum indentation level.
- A formfeed character may be present at the start of the line; it will be ignored
- for the indentation calculations above. Formfeed characters occurring elsewhere
- in the leading whitespace have an undefined effect (for instance, they may reset
- the space count to zero).
- .. index::
- single: INDENT token
- single: DEDENT token
- The indentation levels of consecutive lines are used to generate INDENT and
- DEDENT tokens, using a stack, as follows.
- Before the first line of the file is read, a single zero is pushed on the stack;
- this will never be popped off again. The numbers pushed on the stack will
- always be strictly increasing from bottom to top. At the beginning of each
- logical line, the line's indentation level is compared to the top of the stack.
- If it is equal, nothing happens. If it is larger, it is pushed on the stack, and
- one INDENT token is generated. If it is smaller, it *must* be one of the
- numbers occurring on the stack; all numbers on the stack that are larger are
- popped off, and for each number popped off a DEDENT token is generated. At the
- end of the file, a DEDENT token is generated for each number remaining on the
- stack that is larger than zero.
- Here is an example of a correctly (though confusingly) indented piece of Python
- code::
- def perm(l):
- # Compute the list of all permutations of l
- if len(l) <= 1:
- return [l]
- r = []
- for i in range(len(l)):
- s = l[:i] + l[i+1:]
- p = perm(s)
- for x in p:
- r.append(l[i:i+1] + x)
- return r
- The following example shows various indentation errors::
- def perm(l): # error: first line indented
- for i in range(len(l)): # error: not indented
- s = l[:i] + l[i+1:]
- p = perm(l[:i] + l[i+1:]) # error: unexpected indent
- for x in p:
- r.append(l[i:i+1] + x)
- return r # error: inconsistent dedent
- (Actually, the first three errors are detected by the parser; only the last
- error is found by the lexical analyzer --- the indentation of ``return r`` does
- not match a level popped off the stack.)
- .. _whitespace:
- Whitespace between tokens
- -------------------------
- Except at the beginning of a logical line or in string literals, the whitespace
- characters space, tab and formfeed can be used interchangeably to separate
- tokens. Whitespace is needed between two tokens only if their concatenation
- could otherwise be interpreted as a different token (e.g., ab is one token, but
- a b is two tokens).
- .. _other-tokens:
- Other tokens
- ============
- Besides NEWLINE, INDENT and DEDENT, the following categories of tokens exist:
- *identifiers*, *keywords*, *literals*, *operators*, and *delimiters*. Whitespace
- characters (other than line terminators, discussed earlier) are not tokens, but
- serve to delimit tokens. Where ambiguity exists, a token comprises the longest
- possible string that forms a legal token, when read from left to right.
- .. _identifiers:
- Identifiers and keywords
- ========================
- .. index::
- single: identifier
- single: name
- Identifiers (also referred to as *names*) are described by the following lexical
- definitions:
- .. productionlist::
- identifier: (`letter`|"_") (`letter` | `digit` | "_")*
- letter: `lowercase` | `uppercase`
- lowercase: "a"..."z"
- uppercase: "A"..."Z"
- digit: "0"..."9"
- Identifiers are unlimited in length. Case is significant.
- .. _keywords:
- Keywords
- --------
- .. index::
- single: keyword
- single: reserved word
- The following identifiers are used as reserved words, or *keywords* of the
- language, and cannot be used as ordinary identifiers. They must be spelled
- exactly as written here:
- .. sourcecode:: text
- and del from not while
- as elif global or with
- assert else if pass yield
- break except import print
- class exec in raise
- continue finally is return
- def for lambda try
- .. versionchanged:: 2.4
- :const:`None` became a constant and is now recognized by the compiler as a name
- for the built-in object :const:`None`. Although it is not a keyword, you cannot
- assign a different object to it.
- .. versionchanged:: 2.5
- Both :keyword:`as` and :keyword:`with` are only recognized when the
- ``with_statement`` future feature has been enabled. It will always be enabled in
- Python 2.6. See section :ref:`with` for details. Note that using :keyword:`as`
- and :keyword:`with` as identifiers will always issue a warning, even when the
- ``with_statement`` future directive is not in effect.
- .. _id-classes:
- Reserved classes of identifiers
- -------------------------------
- Certain classes of identifiers (besides keywords) have special meanings. These
- classes are identified by the patterns of leading and trailing underscore
- characters:
- ``_*``
- Not imported by ``from module import *``. The special identifier ``_`` is used
- in the interactive interpreter to store the result of the last evaluation; it is
- stored in the :mod:`__builtin__` module. When not in interactive mode, ``_``
- has no special meaning and is not defined. See section :ref:`import`.
- .. note::
- The name ``_`` is often used in conjunction with internationalization;
- refer to the documentation for the :mod:`gettext` module for more
- information on this convention.
- ``__*__``
- System-defined names. These names are defined by the interpreter and its
- implementation (including the standard library); applications should not expect
- to define additional names using this convention. The set of names of this
- class defined by Python may be extended in future versions. See section
- :ref:`specialnames`.
- ``__*``
- Class-private names. Names in this category, when used within the context of a
- class definition, are re-written to use a mangled form to help avoid name
- clashes between "private" attributes of base and derived classes. See section
- :ref:`atom-identifiers`.
- .. _literals:
- Literals
- ========
- .. index::
- single: literal
- single: constant
- Literals are notations for constant values of some built-in types.
- .. _strings:
- String literals
- ---------------
- .. index:: single: string literal
- String literals are described by the following lexical definitions:
- .. index:: single: ASCII@ASCII
- .. productionlist::
- stringliteral: [`stringprefix`](`shortstring` | `longstring`)
- stringprefix: "r" | "u" | "ur" | "R" | "U" | "UR" | "Ur" | "uR"
- shortstring: "'" `shortstringitem`* "'" | '"' `shortstringitem`* '"'
- longstring: "'''" `longstringitem`* "'''"
- : | '"""' `longstringitem`* '"""'
- shortstringitem: `shortstringchar` | `escapeseq`
- longstringitem: `longstringchar` | `escapeseq`
- shortstringchar: <any source character except "\" or newline or the quote>
- longstringchar: <any source character except "\">
- escapeseq: "\" <any ASCII character>
- One syntactic restriction not indicated by these productions is that whitespace
- is not allowed between the :token:`stringprefix` and the rest of the string
- literal. The source character set is defined by the encoding declaration; it is
- ASCII if no encoding declaration is given in the source file; see section
- :ref:`encodings`.
- .. index::
- single: triple-quoted string
- single: Unicode Consortium
- single: string; Unicode
- single: raw string
- In plain English: String literals can be enclosed in matching single quotes
- (``'``) or double quotes (``"``). They can also be enclosed in matching groups
- of three single or double quotes (these are generally referred to as
- *triple-quoted strings*). The backslash (``\``) character is used to escape
- characters that otherwise have a special meaning, such as newline, backslash
- itself, or the quote character. String literals may optionally be prefixed with
- a letter ``'r'`` or ``'R'``; such strings are called :dfn:`raw strings` and use
- different rules for interpreting backslash escape sequences. A prefix of
- ``'u'`` or ``'U'`` makes the string a Unicode string. Unicode strings use the
- Unicode character set as defined by the Unicode Consortium and ISO 10646. Some
- additional escape sequences, described below, are available in Unicode strings.
- The two prefix characters may be combined; in this case, ``'u'`` must appear
- before ``'r'``.
- In triple-quoted strings, unescaped newlines and quotes are allowed (and are
- retained), except that three unescaped quotes in a row terminate the string. (A
- "quote" is the character used to open the string, i.e. either ``'`` or ``"``.)
- .. index::
- single: physical line
- single: escape sequence
- single: Standard C
- single: C
- Unless an ``'r'`` or ``'R'`` prefix is present, escape sequences in strings are
- interpreted according to rules similar to those used by Standard C. The
- recognized escape sequences are:
- +-----------------+---------------------------------+-------+
- | Escape Sequence | Meaning | Notes |
- +=================+=================================+=======+
- | ``\newline`` | Ignored | |
- +-----------------+---------------------------------+-------+
- | ``\\`` | Backslash (``\``) | |
- +-----------------+---------------------------------+-------+
- | ``\'`` | Single quote (``'``) | |
- +-----------------+---------------------------------+-------+
- | ``\"`` | Double quote (``"``) | |
- +-----------------+---------------------------------+-------+
- | ``\a`` | ASCII Bell (BEL) | |
- +-----------------+---------------------------------+-------+
- | ``\b`` | ASCII Backspace (BS) | |
- +-----------------+---------------------------------+-------+
- | ``\f`` | ASCII Formfeed (FF) | |
- +-----------------+---------------------------------+-------+
- | ``\n`` | ASCII Linefeed (LF) | |
- +-----------------+---------------------------------+-------+
- | ``\N{name}`` | Character named *name* in the | |
- | | Unicode database (Unicode only) | |
- +-----------------+---------------------------------+-------+
- | ``\r`` | ASCII Carriage Return (CR) | |
- +-----------------+---------------------------------+-------+
- | ``\t`` | ASCII Horizontal Tab (TAB) | |
- +-----------------+---------------------------------+-------+
- | ``\uxxxx`` | Character with 16-bit hex value | \(1) |
- | | *xxxx* (Unicode only) | |
- +-----------------+---------------------------------+-------+
- | ``\Uxxxxxxxx`` | Character with 32-bit hex value | \(2) |
- | | *xxxxxxxx* (Unicode only) | |
- +-----------------+---------------------------------+-------+
- | ``\v`` | ASCII Vertical Tab (VT) | |
- +-----------------+---------------------------------+-------+
- | ``\ooo`` | Character with octal value | (3,5) |
- | | *ooo* | |
- +-----------------+---------------------------------+-------+
- | ``\xhh`` | Character with hex value *hh* | (4,5) |
- +-----------------+---------------------------------+-------+
- .. index:: single: ASCII@ASCII
- Notes:
- (1)
- Individual code units which form parts of a surrogate pair can be encoded using
- this escape sequence.
- (2)
- Any Unicode character can be encoded this way, but characters outside the Basic
- Multilingual Plane (BMP) will be encoded using a surrogate pair if Python is
- compiled to use 16-bit code units (the default). Individual code units which
- form parts of a surrogate pair can be encoded using this escape sequence.
- (3)
- As in Standard C, up to three octal digits are accepted.
- (4)
- Unlike in Standard C, exactly two hex digits are required.
- (5)
- In a string literal, hexadecimal and octal escapes denote the byte with the
- given value; it is not necessary that the byte encodes a character in the source
- character set. In a Unicode literal, these escapes denote a Unicode character
- with the given value.
- .. index:: single: unrecognized escape sequence
- Unlike Standard C, all unrecognized escape sequences are left in the string
- unchanged, i.e., *the backslash is left in the string*. (This behavior is
- useful when debugging: if an escape sequence is mistyped, the resulting output
- is more easily recognized as broken.) It is also important to note that the
- escape sequences marked as "(Unicode only)" in the table above fall into the
- category of unrecognized escapes for non-Unicode string literals.
- When an ``'r'`` or ``'R'`` prefix is present, a character following a backslash
- is included in the string without change, and *all backslashes are left in the
- string*. For example, the string literal ``r"\n"`` consists of two characters:
- a backslash and a lowercase ``'n'``. String quotes can be escaped with a
- backslash, but the backslash remains in the string; for example, ``r"\""`` is a
- valid string literal consisting of two characters: a backslash and a double
- quote; ``r"\"`` is not a valid string literal (even a raw string cannot end in
- an odd number of backslashes). Specifically, *a raw string cannot end in a
- single backslash* (since the backslash would escape the following quote
- character). Note also that a single backslash followed by a newline is
- interpreted as those two characters as part of the string, *not* as a line
- continuation.
- When an ``'r'`` or ``'R'`` prefix is used in conjunction with a ``'u'`` or
- ``'U'`` prefix, then the ``\uXXXX`` and ``\UXXXXXXXX`` escape sequences are
- processed while *all other backslashes are left in the string*. For example,
- the string literal ``ur"\u0062\n"`` consists of three Unicode characters: 'LATIN
- SMALL LETTER B', 'REVERSE SOLIDUS', and 'LATIN SMALL LETTER N'. Backslashes can
- be escaped with a preceding backslash; however, both remain in the string. As a
- result, ``\uXXXX`` escape sequences are only recognized when there are an odd
- number of backslashes.
- .. _string-catenation:
- String literal concatenation
- ----------------------------
- Multiple adjacent string literals (delimited by whitespace), possibly using
- different quoting conventions, are allowed, and their meaning is the same as
- their concatenation. Thus, ``"hello" 'world'`` is equivalent to
- ``"helloworld"``. This feature can be used to reduce the number of backslashes
- needed, to split long strings conveniently across long lines, or even to add
- comments to parts of strings, for example::
- re.compile("[A-Za-z_]" # letter or underscore
- "[A-Za-z0-9_]*" # letter, digit or underscore
- )
- Note that this feature is defined at the syntactical level, but implemented at
- compile time. The '+' operator must be used to concatenate string expressions
- at run time. Also note that literal concatenation can use different quoting
- styles for each component (even mixing raw strings and triple quoted strings).
- .. _numbers:
- Numeric literals
- ----------------
- .. index::
- single: number
- single: numeric literal
- single: integer literal
- single: plain integer literal
- single: long integer literal
- single: floating point literal
- single: hexadecimal literal
- single: binary literal
- single: octal literal
- single: decimal literal
- single: imaginary literal
- single: complex; literal
- There are four types of numeric literals: plain integers, long integers,
- floating point numbers, and imaginary numbers. There are no complex literals
- (complex numbers can be formed by adding a real number and an imaginary number).
- Note that numeric literals do not include a sign; a phrase like ``-1`` is
- actually an expression composed of the unary operator '``-``' and the literal
- ``1``.
- .. _integers:
- Integer and long integer literals
- ---------------------------------
- Integer and long integer literals are described by the following lexical
- definitions:
- .. productionlist::
- longinteger: `integer` ("l" | "L")
- integer: `decimalinteger` | `octinteger` | `hexinteger` | `bininteger`
- decimalinteger: `nonzerodigit` `digit`* | "0"
- octinteger: "0" ("o" | "O") `octdigit`+ | "0" `octdigit`+
- hexinteger: "0" ("x" | "X") `hexdigit`+
- bininteger: "0" ("b" | "B") `bindigit`+
- nonzerodigit: "1"..."9"
- octdigit: "0"..."7"
- bindigit: "0" | "1"
- hexdigit: `digit` | "a"..."f" | "A"..."F"
- Although both lower case ``'l'`` and upper case ``'L'`` are allowed as suffix
- for long integers, it is strongly recommended to always use ``'L'``, since the
- letter ``'l'`` looks too much like the digit ``'1'``.
- Plain integer literals that are above the largest representable plain integer
- (e.g., 2147483647 when using 32-bit arithmetic) are accepted as if they were
- long integers instead. [#]_ There is no limit for long integer literals apart
- from what can be stored in available memory.
- Some examples of plain integer literals (first row) and long integer literals
- (second and third rows)::
- 7 2147483647 0177
- 3L 79228162514264337593543950336L 0377L 0x100000000L
- 79228162514264337593543950336 0xdeadbeef
- .. _floating:
- Floating point literals
- -----------------------
- Floating point literals are described by the following lexical definitions:
- .. productionlist::
- floatnumber: `pointfloat` | `exponentfloat`
- pointfloat: [`intpart`] `fraction` | `intpart` "."
- exponentfloat: (`intpart` | `pointfloat`) `exponent`
- intpart: `digit`+
- fraction: "." `digit`+
- exponent: ("e" | "E") ["+" | "-"] `digit`+
- Note that the integer and exponent parts of floating point numbers can look like
- octal integers, but are interpreted using radix 10. For example, ``077e010`` is
- legal, and denotes the same number as ``77e10``. The allowed range of floating
- point literals is implementation-dependent. Some examples of floating point
- literals::
- 3.14 10. .001 1e100 3.14e-10 0e0
- Note that numeric literals do not include a sign; a phrase like ``-1`` is
- actually an expression composed of the unary operator ``-`` and the literal
- ``1``.
- .. _imaginary:
- Imaginary literals
- ------------------
- Imaginary literals are described by the following lexical definitions:
- .. productionlist::
- imagnumber: (`floatnumber` | `intpart`) ("j" | "J")
- An imaginary literal yields a complex number with a real part of 0.0. Complex
- numbers are represented as a pair of floating point numbers and have the same
- restrictions on their range. To create a complex number with a nonzero real
- part, add a floating point number to it, e.g., ``(3+4j)``. Some examples of
- imaginary literals::
- 3.14j 10.j 10j .001j 1e100j 3.14e-10j
- .. _operators:
- Operators
- =========
- .. index:: single: operators
- The following tokens are operators::
- + - * ** / // %
- << >> & | ^ ~
- < > <= >= == != <>
- The comparison operators ``<>`` and ``!=`` are alternate spellings of the same
- operator. ``!=`` is the preferred spelling; ``<>`` is obsolescent.
- .. _delimiters:
- Delimiters
- ==========
- .. index:: single: delimiters
- The following tokens serve as delimiters in the grammar::
- ( ) [ ] { } @
- , : . ` = ;
- += -= *= /= //= %=
- &= |= ^= >>= <<= **=
- The period can also occur in floating-point and imaginary literals. A sequence
- of three periods has a special meaning as an ellipsis in slices. The second half
- of the list, the augmented assignment operators, serve lexically as delimiters,
- but also perform an operation.
- The following printing ASCII characters have special meaning as part of other
- tokens or are otherwise significant to the lexical analyzer::
- ' " # \
- .. index:: single: ASCII@ASCII
- The following printing ASCII characters are not used in Python. Their
- occurrence outside string literals and comments is an unconditional error::
- $ ?
- .. rubric:: Footnotes
- .. [#] In versions of Python prior to 2.4, octal and hexadecimal literals in the range
- just above the largest representable plain integer but below the largest
- unsigned 32-bit number (on a machine using 32-bit arithmetic), 4294967296, were
- taken as the negative plain integer obtained by subtracting 4294967296 from
- their unsigned value.