1 \chapter{Data model
\label{datamodel
}}
3 \section{Objects, values and types
\label{objects
}}
5 \dfn{Objects
} are Python's abstraction for data. All data in a Python
6 program is represented by objects or by relations between objects.
7 (In a sense, and in conformance to Von Neumann's model of a
8 ``stored program computer,'' code is also represented by objects.)
12 Every object has an identity, a type and a value. An object's
13 \emph{identity
} never changes once it has been created; you may think
14 of it as the object's address in memory. The `
\code{is
}' operator
15 compares the identity of two objects; the
16 \function{id()
}\bifuncindex{id
} function returns an integer
17 representing its identity (currently implemented as its address).
18 An object's
\dfn{type
} is
19 also unchangeable. It determines the operations that an object
20 supports (e.g., ``does it have a length?'') and also defines the
21 possible values for objects of that type. The
22 \function{type()
}\bifuncindex{type
} function returns an object's type
23 (which is an object itself). The
\emph{value
} of some
24 objects can change. Objects whose value can change are said to be
25 \emph{mutable
}; objects whose value is unchangeable once they are
26 created are called
\emph{immutable
}.
27 (The value of an immutable container object that contains a reference
28 to a mutable object can change when the latter's value is changed;
29 however the container is still considered immutable, because the
30 collection of objects it contains cannot be changed. So, immutability
31 is not strictly the same as having an unchangeable value, it is more
33 An object's mutability is determined by its type; for instance,
34 numbers, strings and tuples are immutable, while dictionaries and
36 \index{identity of an object
}
37 \index{value of an object
}
38 \index{type of an object
}
39 \index{mutable object
}
40 \index{immutable object
}
42 Objects are never explicitly destroyed; however, when they become
43 unreachable they may be garbage-collected. An implementation is
44 allowed to postpone garbage collection or omit it altogether --- it is
45 a matter of implementation quality how garbage collection is
46 implemented, as long as no objects are collected that are still
47 reachable. (Implementation note: the current implementation uses a
48 reference-counting scheme which collects most objects as soon as they
49 become unreachable, but never collects garbage containing circular
51 \index{garbage collection
}
52 \index{reference counting
}
53 \index{unreachable object
}
55 Note that the use of the implementation's tracing or debugging
56 facilities may keep objects alive that would normally be collectable.
57 Also note that catching an exception with a
58 `
\keyword{try
}...
\keyword{except
}' statement may keep objects alive.
60 Some objects contain references to ``external'' resources such as open
61 files or windows. It is understood that these resources are freed
62 when the object is garbage-collected, but since garbage collection is
63 not guaranteed to happen, such objects also provide an explicit way to
64 release the external resource, usually a
\method{close()
} method.
65 Programs are strongly recommended to explicitly close such
66 objects. The `
\keyword{try
}...
\keyword{finally
}' statement provides
67 a convenient way to do this.
69 Some objects contain references to other objects; these are called
70 \emph{containers
}. Examples of containers are tuples, lists and
71 dictionaries. The references are part of a container's value. In
72 most cases, when we talk about the value of a container, we imply the
73 values, not the identities of the contained objects; however, when we
74 talk about the mutability of a container, only the identities of
75 the immediately contained objects are implied. So, if an immutable
76 container (like a tuple)
77 contains a reference to a mutable object, its value changes
78 if that mutable object is changed.
81 Types affect almost all aspects of object behavior. Even the importance
82 of object identity is affected in some sense: for immutable types,
83 operations that compute new values may actually return a reference to
84 any existing object with the same type and value, while for mutable
85 objects this is not allowed. E.g., after
87 \code{a
} and
\code{b
} may or may not refer to the same object with the
88 value one, depending on the implementation, but after
89 \samp{c =
[]; d =
[]},
\code{c
} and
\code{d
}
90 are guaranteed to refer to two different, unique, newly created empty
92 (Note that
\samp{c = d =
[]} assigns the same object to both
93 \code{c
} and
\code{d
}.)
95 \section{The standard type hierarchy
\label{types
}}
97 Below is a list of the types that are built into Python. Extension
98 modules written in
\C{} can define additional types. Future versions of
99 Python may add types to the type hierarchy (e.g., rational
100 numbers, efficiently stored arrays of integers, etc.).
103 \indexii{type
}{hierarchy
}
104 \indexii{extension
}{module
}
105 \indexii{C
}{language
}
107 Some of the type descriptions below contain a paragraph listing
108 `special attributes.' These are attributes that provide access to the
109 implementation and are not intended for general use. Their definition
110 may change in the future. There are also some `generic' special
111 attributes, not listed with the individual objects:
\member{__methods__
}
112 is a list of the method names of a built-in object, if it has any;
113 \member{__members__
} is a list of the data attribute names of a built-in
114 object, if it has any.
116 \indexii{special
}{attribute
}
117 \indexiii{generic
}{special
}{attribute
}
118 \withsubitem{(built-in object attribute)
}{
119 \ttindex{__methods__
}
120 \ttindex{__members__
}}
125 This type has a single value. There is a single object with this value.
126 This object is accessed through the built-in name
\code{None
}.
127 It is used to signify the absence of a value in many situations, e.g.,
128 it is returned from functions that don't explicitly return anything.
129 Its truth value is false.
131 \obindex{None@
{\texttt{None
}}}
134 This type has a single value. There is a single object with this value.
135 This object is accessed through the built-in name
\code{Ellipsis
}.
136 It is used to indicate the presence of the
\samp{...
} syntax in a
137 slice. Its truth value is true.
139 \obindex{Ellipsis@
{\texttt{Ellipsis
}}}
142 These are created by numeric literals and returned as results by
143 arithmetic operators and arithmetic built-in functions. Numeric
144 objects are immutable; once created their value never changes. Python
145 numbers are of course strongly related to mathematical numbers, but
146 subject to the limitations of numerical representation in computers.
150 Python distinguishes between integers and floating point numbers:
154 These represent elements from the mathematical set of whole numbers.
157 There are two types of integers:
161 \item[Plain integers
]
162 These represent numbers in the range -
2147483648 through
2147483647.
163 (The range may be larger on machines with a larger natural word
164 size, but not smaller.)
165 When the result of an operation falls outside this range, the
166 exception
\exception{OverflowError
} is raised.
167 For the purpose of shift and mask operations, integers are assumed to
168 have a binary,
2's complement notation using
32 or more bits, and
169 hiding no bits from the user (i.e., all
4294967296 different bit
170 patterns correspond to different values).
171 \obindex{plain integer
}
172 \withsubitem{(built-in exception)
}{\ttindex{OverflowError
}}
175 These represent numbers in an unlimited range, subject to available
176 (virtual) memory only. For the purpose of shift and mask operations,
177 a binary representation is assumed, and negative numbers are
178 represented in a variant of
2's complement which gives the illusion of
179 an infinite string of sign bits extending to the left.
180 \obindex{long integer
}
182 \end{description
} % Integers
184 The rules for integer representation are intended to give the most
185 meaningful interpretation of shift and mask operations involving
186 negative integers and the least surprises when switching between the
187 plain and long integer domains. For any operation except left shift,
188 if it yields a result in the plain integer domain without causing
189 overflow, it will yield the same result in the long integer domain or
190 when using mixed operands.
191 \indexii{integer
}{representation
}
193 \item[Floating point numbers
]
194 These represent machine-level double precision floating point numbers.
195 You are at the mercy of the underlying machine architecture and
196 \C{} implementation for the accepted range and handling of overflow.
197 Python does not support single-precision floating point numbers; the
198 savings in CPU and memory usage that are usually the reason for using
199 these is dwarfed by the overhead of using objects in Python, so there
200 is no reason to complicate the language with two kinds of floating
202 \obindex{floating point
}
203 \indexii{floating point
}{number
}
204 \indexii{C
}{language
}
206 \item[Complex numbers
]
207 These represent complex numbers as a pair of machine-level double
208 precision floating point numbers. The same caveats apply as for
209 floating point numbers. The real and imaginary value of a complex
210 number
\code{z
} can be retrieved through the attributes
\code{z.real
}
213 \indexii{complex
}{number
}
215 \end{description
} % Numbers
218 These represent finite ordered sets indexed by natural numbers.
219 The built-in function
\function{len()
}\bifuncindex{len
} returns the
220 number of items of a sequence.
221 When the lenth of a sequence is
\var{n
}, the
222 index set contains the numbers
0,
1,
\ldots,
\var{n
}-
1. Item
223 \var{i
} of sequence
\var{a
} is selected by
\code{\var{a
}[\var{i
}]}.
225 \index{index operation
}
226 \index{item selection
}
229 Sequences also support slicing:
\code{\var{a
}[\var{i
}:
\var{j
}]}
230 selects all items with index
\var{k
} such that
\var{i
} \code{<=
}
231 \var{k
} \code{<
} \var{j
}. When used as an expression, a slice is a
232 sequence of the same type. This implies that the index set is
233 renumbered so that it starts at
0.
236 Sequences are distinguished according to their mutability:
240 \item[Immutable sequences
]
241 An object of an immutable sequence type cannot change once it is
242 created. (If the object contains references to other objects,
243 these other objects may be mutable and may be changed; however,
244 the collection of objects directly referenced by an immutable object
246 \obindex{immutable sequence
}
249 The following types are immutable sequences:
254 The items of a string are characters. There is no separate
255 character type; a character is represented by a string of one item.
256 Characters represent (at least)
8-bit bytes. The built-in
257 functions
\function{chr()
}\bifuncindex{chr
} and
258 \function{ord()
}\bifuncindex{ord
} convert between characters and
259 nonnegative integers representing the byte values. Bytes with the
260 values
0-
127 usually represent the corresponding
\ASCII{} values, but
261 the interpretation of values is up to the program. The string
262 data type is also used to represent arrays of bytes, e.g., to hold data
267 \index{ASCII@
\ASCII{}}
269 (On systems whose native character set is not
\ASCII{}, strings may use
270 EBCDIC in their internal representation, provided the functions
271 \function{chr()
} and
\function{ord()
} implement a mapping between
\ASCII{} and
272 EBCDIC, and string comparison preserves the
\ASCII{} order.
273 Or perhaps someone can propose a better rule?)
274 \index{ASCII@
\ASCII{}}
276 \index{character set
}
277 \indexii{string
}{comparison
}
282 The items of a tuple are arbitrary Python objects.
283 Tuples of two or more items are formed by comma-separated lists
284 of expressions. A tuple of one item (a `singleton') can be formed
285 by affixing a comma to an expression (an expression by itself does
286 not create a tuple, since parentheses must be usable for grouping of
287 expressions). An empty tuple can be formed by an empty pair of
290 \indexii{singleton
}{tuple
}
291 \indexii{empty
}{tuple
}
293 \end{description
} % Immutable sequences
295 \item[Mutable sequences
]
296 Mutable sequences can be changed after they are created. The
297 subscription and slicing notations can be used as the target of
298 assignment and
\keyword{del
} (delete) statements.
299 \obindex{mutable sequece
}
301 \indexii{assignment
}{statement
}
307 There is currently a single mutable sequence type:
312 The items of a list are arbitrary Python objects. Lists are formed
313 by placing a comma-separated list of expressions in square brackets.
314 (Note that there are no special cases needed to form lists of length
0
318 \end{description
} % Mutable sequences
320 The extension module
\module{array
}\refstmodindex{array
} provides an
321 additional example of a mutable sequence type.
324 \end{description
} % Sequences
327 These represent finite sets of objects indexed by arbitrary index sets.
328 The subscript notation
\code{a
[k
]} selects the item indexed
329 by
\code{k
} from the mapping
\code{a
}; this can be used in
330 expressions and as the target of assignments or
\keyword{del
} statements.
331 The built-in function
\function{len()
} returns the number of items
337 There is currently a single intrinsic mapping type:
342 These
\obindex{dictionary
} represent finite sets of objects indexed by
343 nearly arbitrary values. The only types of values not acceptable as
344 keys are values containing lists or dictionaries or other mutable
345 types that are compared by value rather than by object identity, the
346 reason being that the efficient implementation of dictionaries
347 requires a key's hash value to remain constant.
348 Numeric types used for keys obey the normal rules for numeric
349 comparison: if two numbers compare equal (e.g.,
\code{1} and
350 \code{1.0}) then they can be used interchangeably to index the same
353 Dictionaries are
\obindex{mutable
}mutable; they are created by the
354 \code{\
{...\
}} notation (see section
\ref{dict
}, ``Dictionary
357 The extension modules
\module{dbm
}\refstmodindex{dbm
},
358 \module{gdbm
}\refstmodindex{gdbm
},
\module{bsddb
}\refstmodindex{bsddb
}
359 provide additional examples of mapping types.
361 \end{description
} % Mapping types
363 \item[Callable types
]
364 These
\obindex{callable
} are the types to which the function call
365 operation (see section
\ref{calls
}, ``Calls'') can be applied:
366 \indexii{function
}{call
}
368 \indexii{function
}{argument
}
372 \item[User-defined functions
]
373 A user-defined function object is created by a function definition
374 (see section
\ref{function
}, ``Function definitions''). It should be
375 called with an argument
376 list containing the same number of items as the function's formal
378 \indexii{user-defined
}{function
}
380 \obindex{user-defined function
}
382 Special attributes:
\member{func_doc
} or
\member{__doc__
} is the
383 function's documentation string, or None if unavailable;
384 \member{func_name
} or
\member{__name__
} is the function's name;
385 \member{func_defaults
} is a tuple containing default argument values for
386 those arguments that have defaults, or
\code{None
} if no arguments
387 have a default value;
\member{func_code
} is the code object representing
388 the compiled function body;
\member{func_globals
} is (a reference to)
389 the dictionary that holds the function's global variables --- it
390 defines the global namespace of the module in which the function was
392 Of these,
\member{func_code
},
\member{func_defaults
} and
393 \member{func_doc
} (and this
\member{__doc__
}) may be writable; the
394 others can never be changed.
395 Additional information about a function's definition can be
396 retrieved from its code object; see the description of internal types
398 \withsubitem{(function attribute)
}{
402 \ttindex{func_defaults
}
404 \ttindex{func_globals
}}
405 \indexii{global
}{namespace
}
407 \item[User-defined methods
]
408 A user-defined method object combines a class, a class instance (or
409 \code{None
}) and a user-defined function.
411 \obindex{user-defined method
}
412 \indexii{user-defined
}{method
}
414 Special read-only attributes:
\member{im_self
} is the class instance
415 object,
\member{im_func
} is the function object;
416 \member{im_class
} is the class that defined the method (which may be a
417 base class of the class of which
\member{im_self
} is an instance);
418 \member{__doc__
} is the method's documentation (same as
419 \code{im_func.__doc__
});
\member{__name__
} is the method name (same as
420 \code{im_func.__name__
}).
421 \withsubitem{(method attribute)
}{
425 User-defined method objects are created in two ways: when getting an
426 attribute of a class that is a user-defined function object, or when
427 getting an attributes of a class instance that is a user-defined
428 function object. In the former case (class attribute), the
429 \member{im_self
} attribute is
\code{None
}, and the method object is said
430 to be unbound; in the latter case (instance attribute),
\method{im_self
}
431 is the instance, and the method object is said to be bound. For
432 instance, when
\class{C
} is a class which contains a definition for a
433 function
\method{f()
},
\code{C.f
} does not yield the function object
434 \code{f
}; rather, it yields an unbound method object
\code{m
} where
435 \code{m.im_class
} is
\class{C
},
\code{m.im_func
} is
\method{f()
}, and
436 \code{m.im_self
} is
\code{None
}. When
\code{x
} is a
\class{C
}
437 instance,
\code{x.f
} yields a bound method object
\code{m
} where
438 \code{m.im_class
} is
\code{C
},
\code{m.im_func
} is
\method{f()
}, and
439 \code{m.im_self
} is
\code{x
}.
440 \withsubitem{(method attribute)
}{
445 When an unbound user-defined method object is called, the underlying
446 function (
\member{im_func
}) is called, with the restriction that the
447 first argument must be an instance of the proper class
448 (
\member{im_class
}) or of a derived class thereof.
450 When a bound user-defined method object is called, the underlying
451 function (
\member{im_func
}) is called, inserting the class instance
452 (
\member{im_self
}) in front of the argument list. For instance, when
453 \class{C
} is a class which contains a definition for a function
454 \method{f()
}, and
\code{x
} is an instance of
\class{C
}, calling
455 \code{x.f(
1)
} is equivalent to calling
\code{C.f(x,
1)
}.
457 Note that the transformation from function object to (unbound or
458 bound) method object happens each time the attribute is retrieved from
459 the class or instance. In some cases, a fruitful optimization is to
460 assign the attribute to a local variable and call that local variable.
461 Also notice that this transformation only happens for user-defined
462 functions; other callable objects (and all non-callable objects) are
463 retrieved without transformation.
465 \item[Built-in functions
]
466 A built-in function object is a wrapper around a
\C{} function. Examples
467 of built-in functions are
\function{len()
} and
\function{math.sin()
}
468 (
\module{math
} is a standard built-in module).
469 The number and type of the arguments are
470 determined by the C function.
471 Special read-only attributes:
\member{__doc__
} is the function's
472 documentation string, or
\code{None
} if unavailable;
\member{__name__
}
473 is the function's name;
\member{__self__
} is set to
\code{None
} (but see
475 \obindex{built-in function
}
477 \indexii{C
}{language
}
479 \item[Built-in methods
]
480 This is really a different disguise of a built-in function, this time
481 containing an object passed to the
\C{} function as an implicit extra
482 argument. An example of a built-in method is
483 \code{\var{list
}.append()
}, assuming
484 \var{list
} is a list object.
485 In this case, the special read-only attribute
\member{__self__
} is set
486 to the object denoted by
\code{list
}.
487 \obindex{built-in method
}
489 \indexii{built-in
}{method
}
492 Class objects are described below. When a class object is called,
493 a new class instance (also described below) is created and
494 returned. This implies a call to the class's
\method{__init__()
} method
495 if it has one. Any arguments are passed on to the
\method{__init__()
}
496 method. If there is no
\method{__init__()
} method, the class must be called
498 \withsubitem{(object method)
}{\ttindex{__init__()
}}
500 \obindex{class instance
}
502 \indexii{class object
}{call
}
504 \item[Class instances
]
505 Class instances are described below. Class instances are callable
506 only when the class has a
\method{__call__()
} method;
\code{x(arguments)
}
507 is a shorthand for
\code{x.__call__(arguments)
}.
512 Modules are imported by the
\keyword{import
} statement (see section
513 \ref{import
}, ``The
\keyword{import
} statement'').
514 A module object has a namespace implemented by a dictionary object
515 (this is the dictionary referenced by the func_globals attribute of
516 functions defined in the module). Attribute references are translated
517 to lookups in this dictionary, e.g.,
\code{m.x
} is equivalent to
518 \code{m.__dict__
["x"
]}.
519 A module object does not contain the code object used to
520 initialize the module (since it isn't needed once the initialization
525 Attribute assignment updates the module's namespace dictionary,
526 e.g.,
\samp{m.x =
1} is equivalent to
\samp{m.__dict__
["x"
] =
1}.
528 Special read-only attribute:
\member{__dict__
} is the module's
529 namespace as a dictionary object.
530 \withsubitem{(module attribute)
}{\ttindex{__dict__
}}
532 Predefined (writable) attributes:
\member{__name__
}
533 is the module's name;
\member{__doc__
} is the
534 module's documentation string, or
535 \code{None
} if unavailable;
\member{__file__
} is the pathname of the
536 file from which the module was loaded, if it was loaded from a file.
537 The
\member{__file__
} attribute is not present for C
{} modules that are
538 statically linked into the interpreter; for extension modules loaded
539 dynamically from a shared library, it is the pathname of the shared
541 \withsubitem{(module attribute)
}{
545 \indexii{module
}{namespace
}
548 Class objects are created by class definitions (see section
549 \ref{class
}, ``Class definitions'').
550 A class has a namespace implemented by a dictionary object.
551 Class attribute references are translated to
552 lookups in this dictionary,
553 e.g.,
\samp{C.x
} is translated to
\samp{C.__dict__
["x"
]}.
554 When the attribute name is not found
555 there, the attribute search continues in the base classes. The search
556 is depth-first, left-to-right in the order of occurrence in the
558 When a class attribute reference would yield a user-defined function
559 object, it is transformed into an unbound user-defined method object
560 (see above). The
\member{im_class
} attribute of this method object is the
561 class in which the function object was found, not necessarily the
562 class for which the attribute reference was initiated.
564 \obindex{class instance
}
566 \indexii{class object
}{call
}
569 \indexii{class
}{attribute
}
571 Class attribute assignments update the class's dictionary, never the
572 dictionary of a base class.
573 \indexiii{class
}{attribute
}{assignment
}
575 A class object can be called (see above) to yield a class instance (see
577 \indexii{class object
}{call
}
579 Special attributes:
\member{__name__
} is the class name;
580 \member{__module__
} is the module name in which the class was defined;
581 \member{__dict__
} is the dictionary containing the class's namespace;
582 \member{__bases__
} is a tuple (possibly empty or a singleton)
583 containing the base classes, in the order of their occurrence in the
584 base class list;
\member{__doc__
} is the class's documentation string,
585 or None if undefined.
586 \withsubitem{(class attribute)
}{
593 \item[Class instances
]
594 A class instance is created by calling a class object (see above).
595 A class instance has a namespace implemented as a dictionary which
596 is the first place in which
597 attribute references are searched. When an attribute is not found
598 there, and the instance's class has an attribute by that name,
599 the search continues with the class attributes. If a class attribute
600 is found that is a user-defined function object (and in no other
601 case), it is transformed into an unbound user-defined method object
602 (see above). The
\member{im_class
} attribute of this method object is
603 the class in which the function object was found, not necessarily the
604 class of the instance for which the attribute reference was initiated.
605 If no class attribute is found, and the object's class has a
606 \method{__getattr__()
} method, that is called to satisfy the lookup.
607 \obindex{class instance
}
609 \indexii{class
}{instance
}
610 \indexii{class instance
}{attribute
}
612 Attribute assignments and deletions update the instance's dictionary,
613 never a class's dictionary. If the class has a
\method{__setattr__()
} or
614 \method{__delattr__()
} method, this is called instead of updating the
615 instance dictionary directly.
616 \indexiii{class instance
}{attribute
}{assignment
}
618 Class instances can pretend to be numbers, sequences, or mappings if
619 they have methods with certain special names. See
620 section
\ref{specialnames
}, ``Special method names.''
625 Special attributes:
\member{__dict__
} is the attribute
626 dictionary;
\member{__class__
} is the instance's class.
627 \withsubitem{(instance attribute)
}{
632 A file object represents an open file. File objects are created by the
633 \function{open()
} built-in function, and also by
634 \function{os.popen()
},
\function{os.fdopen()
}, and the
635 \method{makefile()
} method of socket objects (and perhaps by other
636 functions or methods provided by extension modules). The objects
637 \code{sys.stdin
},
\code{sys.stdout
} and
\code{sys.stderr
} are
638 initialized to file objects corresponding to the interpreter's
639 standard input, output and error streams. See the
\emph{Python
640 Library Reference
} for complete documentation of file objects.
642 \indexii{C
}{language
}
645 \withsubitem{(in module os)
}{\ttindex{popen()
}}
646 \withsubitem{(socket method)
}{\ttindex{makefile()
}}
647 \withsubitem{(in module sys)
}{
655 \item[Internal types
]
656 A few types used internally by the interpreter are exposed to the user.
657 Their definitions may change with future versions of the interpreter,
658 but they are mentioned here for completeness.
659 \index{internal type
}
660 \index{types, internal
}
665 Code objects represent
\emph{byte-compiled
} executable Python code, or
667 The difference between a code
668 object and a function object is that the function object contains an
669 explicit reference to the function's globals (the module in which it
670 was defined), while a code object contains no context;
671 also the default argument values are stored in the function object,
672 not in the code object (because they represent values calculated at
673 run-time). Unlike function objects, code objects are immutable and
674 contain no references (directly or indirectly) to mutable objects.
678 Special read-only attributes:
\member{co_name
} gives the function
679 name;
\member{co_argcount
} is the number of positional arguments
680 (including arguments with default values);
\member{co_nlocals
} is the
681 number of local variables used by the function (including arguments);
682 \member{co_varnames
} is a tuple containing the names of the local
683 variables (starting with the argument names);
\member{co_code
} is a
684 string representing the sequence of bytecode instructions;
685 \member{co_consts
} is a tuple containing the literals used by the
686 bytecode;
\member{co_names
} is a tuple containing the names used by
687 the bytecode;
\member{co_filename
} is the filename from which the code
688 was compiled;
\member{co_firstlineno
} is the first line number of the
689 function;
\member{co_lnotab
} is a string encoding the mapping from
690 byte code offsets to line numbers (for detais see the source code of
691 the interpreter);
\member{co_stacksize
} is the required stack size
692 (including local variables);
\member{co_flags
} is an integer encoding
693 a number of flags for the interpreter.
694 \withsubitem{(code object attribute)
}{
695 \ttindex{co_argcount
}
698 \ttindex{co_filename
}
699 \ttindex{co_firstlineno
}
705 \ttindex{co_stacksize
}
706 \ttindex{co_varnames
}}
708 The following flag bits are defined for
\member{co_flags
}: bit
2 is set
709 if the function uses the
\samp{*arguments
} syntax to accept an
710 arbitrary number of positional arguments; bit
3 is set if the function
711 uses the
\samp{**keywords
} syntax to accept arbitrary keyword
712 arguments; other bits are used internally or reserved for future use.
713 If a code object represents a function, the first item in
714 \member{co_consts
} is the documentation string of the
715 function, or
\code{None
} if undefined.
716 \index{documentation string
}
719 Frame objects represent execution frames. They may occur in traceback
723 Special read-only attributes:
\member{f_back
} is to the previous
724 stack frame (towards the caller), or
\code{None
} if this is the bottom
725 stack frame;
\member{f_code
} is the code object being executed in this
726 frame;
\member{f_locals
} is the dictionary used to look up local
727 variables;
\member{f_globals
} is used for global variables;
728 \member{f_builtins
} is used for built-in (intrinsic) names;
729 \member{f_restricted
} is a flag indicating whether the function is
730 executing in restricted execution mode;
731 \member{f_lineno
} gives the line number and
\member{f_lasti
} gives the
732 precise instruction (this is an index into the bytecode string of
734 \withsubitem{(frame attribute)
}{
742 \ttindex{f_restricted
}}
744 Special writable attributes:
\member{f_trace
}, if not
\code{None
}, is a
745 function called at the start of each source code line (this is used by
746 the debugger);
\member{f_exc_type
},
\member{f_exc_value
},
747 \member{f_exc_traceback
} represent the most recent exception caught in
749 \withsubitem{(frame attribute)
}{
752 \ttindex{f_exc_value
}
753 \ttindex{f_exc_traceback
}}
755 \item[Traceback objects
] \label{traceback
}
756 Traceback objects represent a stack trace of an exception. A
757 traceback object is created when an exception occurs. When the search
758 for an exception handler unwinds the execution stack, at each unwound
759 level a traceback object is inserted in front of the current
760 traceback. When an exception handler is entered, the stack trace is
761 made available to the program.
762 (See section
\ref{try
}, ``The
\code{try
} statement.'')
763 It is accessible as
\code{sys.exc_traceback
}, and also as the third
764 item of the tuple returned by
\code{sys.exc_info()
}. The latter is
765 the preferred interface, since it works correctly when the program is
766 using multiple threads.
767 When the program contains no suitable handler, the stack trace is written
768 (nicely formatted) to the standard error stream; if the interpreter is
769 interactive, it is also made available to the user as
770 \code{sys.last_traceback
}.
772 \indexii{stack
}{trace
}
773 \indexii{exception
}{handler
}
774 \indexii{execution
}{stack
}
775 \withsubitem{(in module sys)
}{
777 \ttindex{exc_traceback
}
778 \ttindex{last_traceback
}}
779 \ttindex{sys.exc_info
}
780 \ttindex{sys.exc_traceback
}
781 \ttindex{sys.last_traceback
}
783 Special read-only attributes:
\member{tb_next
} is the next level in the
784 stack trace (towards the frame where the exception occurred), or
785 \code{None
} if there is no next level;
\member{tb_frame
} points to the
786 execution frame of the current level;
\member{tb_lineno
} gives the line
787 number where the exception occurred;
\member{tb_lasti
} indicates the
788 precise instruction. The line number and last instruction in the
789 traceback may differ from the line number of its frame object if the
790 exception occurred in a
\keyword{try
} statement with no matching
791 except clause or with a finally clause.
792 \withsubitem{(traceback attribute)
}{
800 Slice objects are used to represent slices when
\emph{extended slice
801 syntax
} is used. This is a slice using two colons, or multiple slices
802 or ellipses separated by commas, e.g.,
\code{a
[i:j:step
]},
\code{a
[i:j,
803 k:l
]}, or
\code{a
[..., i:j
])
}. They are also created by the built-in
804 \function{slice()
}\bifuncindex{slice
} function.
806 Special read-only attributes:
\member{start
} is the lowerbound;
807 \member{stop
} is the upperbound;
\member{step
} is the step value; each is
808 \code{None
} if omitted. These attributes can have any type.
809 \withsubitem{(slice object attribute)
}{
814 \end{description
} % Internal types
816 \end{description
} % Types
819 \section{Special method names
\label{specialnames
}}
821 A class can implement certain operations that are invoked by special
822 syntax (such as arithmetic operations or subscripting and slicing) by
823 defining methods with special names. For instance, if a class defines
824 a method named
\method{__getitem__()
}, and
\code{x
} is an instance of
825 this class, then
\code{x
[i
]} is equivalent to
826 \code{x.__getitem__(i)
}. (The reverse is not true --- if
\code{x
} is
827 a list object,
\code{x.__getitem__(i)
} is not equivalent to
828 \code{x
[i
]}.) Except where mentioned, attempts to execute an
829 operation raise an exception when no appropriate method is defined.
830 \withsubitem{(mapping object method)
}{\ttindex{__getitem__()
}}
833 \subsection{Basic customization
\label{customization
}}
835 \begin{methoddesc
}[object
]{__init__
}{self
\optional{, args...
}}
836 Called when the instance is created. The arguments are those passed
837 to the class constructor expression. If a base class has an
838 \method{__init__()
} method the derived class's
\method{__init__()
} method must
839 explicitly call it to ensure proper initialization of the base class
840 part of the instance, e.g.,
\samp{BaseClass.__init__(
\var{self
},
842 \indexii{class
}{constructor
}
846 \begin{methoddesc
}[object
]{__del__
}{self
}
847 Called when the instance is about to be destroyed. This is also
848 called a destructor
\index{destructor
}. If a base class
849 has a
\method{__del__()
} method, the derived class's
\method{__del__()
} method
850 must explicitly call it to ensure proper deletion of the base class
851 part of the instance. Note that it is possible (though not recommended!)
852 for the
\method{__del__()
}
853 method to postpone destruction of the instance by creating a new
854 reference to it. It may then be called at a later time when this new
855 reference is deleted. It is not guaranteed that
856 \method{__del__()
} methods are called for objects that still exist when
857 the interpreter exits.
860 \strong{Programmer's note:
} \samp{del x
} doesn't directly call
861 \code{x.__del__()
} --- the former decrements the reference count for
862 \code{x
} by one, and the latter is only called when its reference
863 count reaches zero. Some common situations that may prevent the
864 reference count of an object to go to zero include: circular
865 references between objects (e.g., a doubly-linked list or a tree data
866 structure with parent and child pointers); a reference to the object
867 on the stack frame of a function that caught an exception (the
868 traceback stored in
\code{sys.exc_traceback
} keeps the stack frame
869 alive); or a reference to the object on the stack frame that raised an
870 unhandled exception in interactive mode (the traceback stored in
871 \code{sys.last_traceback
} keeps the stack frame alive). The first
872 situation can only be remedied by explicitly breaking the cycles; the
873 latter two situations can be resolved by storing None in
874 \code{sys.exc_traceback
} or
\code{sys.last_traceback
}.
876 \strong{Warning:
} due to the precarious circumstances under which
877 \method{__del__()
} methods are invoked, exceptions that occur during their
878 execution are ignored, and a warning is printed to
\code{sys.stderr
}
879 instead. Also, when
\method{__del__()
} is invoked is response to a module
880 being deleted (e.g., when execution of the program is done), other
881 globals referenced by the
\method{__del__()
} method may already have been
882 deleted. For this reason,
\method{__del__()
} methods should do the
883 absolute minimum needed to maintain external invariants. Python
1.5
884 guarantees that globals whose name begins with a single underscore are
885 deleted from their module before other globals are deleted; if no
886 other references to such globals exist, this may help in assuring that
887 imported modules are still available at the time when the
888 \method{__del__()
} method is called.
891 \begin{methoddesc
}[object
]{__repr__
}{self
}
892 Called by the
\function{repr()
}\bifuncindex{repr
} built-in function
893 and by string conversions (reverse quotes) to compute the ``official''
894 string representation of an object. This should normally look like a
895 valid Python expression that can be used to recreate an object with
896 the same value. By convention, objects which cannot be trivially
897 converted to strings which can be used to create a similar object
898 produce a string of the form
\samp{<
\var{...some useful
900 \indexii{string
}{conversion
}
901 \indexii{reverse
}{quotes
}
902 \indexii{backward
}{quotes
}
906 \begin{methoddesc
}[object
]{__str__
}{self
}
907 Called by the
\function{str()
}\bifuncindex{str
} built-in function and
908 by the
\keyword{print
}\stindex{print
} statement to compute the
909 ``informal'' string representation of an object. This differs from
910 \method{__repr__()
} in that it does not have to be a valid Python
911 expression: a more convenient or concise representation may be used
915 \begin{methoddesc
}[object
]{__cmp__
}{self, other
}
916 Called by all comparison operations. Should return a negative integer if
917 \code{self < other
}, zero if
\code{self == other
}, a positive integer if
918 \code{self > other
}. If no
\method{__cmp__()
} operation is defined, class
919 instances are compared by object identity (``address'').
920 (Note: the restriction that exceptions are not propagated by
921 \method{__cmp__()
} has been removed in Python
1.5.)
926 \begin{methoddesc
}[object
]{__hash__
}{self
}
927 Called for the key object for dictionary
\obindex{dictionary
}
928 operations, and by the built-in function
929 \function{hash()
}\bifuncindex{hash
}. Should return a
32-bit integer
930 usable as a hash value
931 for dictionary operations. The only required property is that objects
932 which compare equal have the same hash value; it is advised to somehow
933 mix together (e.g., using exclusive or) the hash values for the
934 components of the object that also play a part in comparison of
935 objects. If a class does not define a
\method{__cmp__()
} method it should
936 not define a
\method{__hash__()
} operation either; if it defines
937 \method{__cmp__()
} but not
\method{__hash__()
} its instances will not be
938 usable as dictionary keys. If a class defines mutable objects and
939 implements a
\method{__cmp__()
} method it should not implement
940 \method{__hash__()
}, since the dictionary implementation requires that
941 a key's hash value is immutable (if the object's hash value changes, it
942 will be in the wrong hash bucket).
943 \withsubitem{(object method)
}{\ttindex{__cmp__()
}}
946 \begin{methoddesc
}[object
]{__nonzero__
}{self
}
947 Called to implement truth value testing; should return
\code{0} or
948 \code{1}. When this method is not defined,
\method{__len__()
} is
949 called, if it is defined (see below). If a class defines neither
950 \method{__len__()
} nor
\method{__nonzero__()
}, all its instances are
952 \withsubitem{(mapping object method)
}{\ttindex{__len__()
}}
956 \subsection{Customizing attribute access
\label{attribute-access
}}
958 The following methods can be defined to customize the meaning of
959 attribute access (use of, assignment to, or deletion of
\code{x.name
})
961 For performance reasons, these methods are cached in the class object
962 at class definition time; therefore, they cannot be changed after the
963 class definition is executed.
965 \begin{methoddesc
}[object
]{__getattr__
}{self, name
}
966 Called when an attribute lookup has not found the attribute in the
967 usual places (i.e. it is not an instance attribute nor is it found in
968 the class tree for
\code{self
}).
\code{name
} is the attribute name.
969 This method should return the (computed) attribute value or raise an
970 \exception{AttributeError
} exception.
972 Note that if the attribute is found through the normal mechanism,
973 \method{__getattr__()
} is not called. (This is an intentional
974 asymmetry between
\method{__getattr__()
} and
\method{__setattr__()
}.)
975 This is done both for efficiency reasons and because otherwise
976 \method{__setattr__()
} would have no way to access other attributes of
978 Note that at least for instance variables, you can fake
979 total control by not inserting any values in the instance
980 attribute dictionary (but instead inserting them in another object).
981 \withsubitem{(object method)
}{\ttindex{__setattr__()
}}
984 \begin{methoddesc
}[object
]{__setattr__
}{self, name, value
}
985 Called when an attribute assignment is attempted. This is called
986 instead of the normal mechanism (i.e.\ store the value in the instance
987 dictionary).
\var{name
} is the attribute name,
\var{value
} is the
988 value to be assigned to it.
990 If
\method{__setattr__()
} wants to assign to an instance attribute, it
991 should not simply execute
\samp{self.
\var{name
} = value
} --- this
992 would cause a recursive call to itself. Instead, it should insert the
993 value in the dictionary of instance attributes, e.g.,
994 \samp{self.__dict__
[\var{name
}] = value
}.
995 \withsubitem{(instance attribute)
}{\ttindex{__dict__
}}
998 \begin{methoddesc
}[object
]{__delattr__
}{self, name
}
999 Like
\method{__setattr__()
} but for attribute deletion instead of
1000 assignment. This should only be implemented if
\samp{del
1001 obj.
\var{name
}} is meaningful for the object.
1005 \subsection{Emulating callable objects
\label{callable-types
}}
1007 \begin{methoddesc
}[object
]{__call__
}{self
\optional{, args...
}}
1008 Called when the instance is ``called'' as a function; if this method
1009 is defined,
\code{\var{x
}(arg1, arg2, ...)
} is a shorthand for
1010 \code{\var{x
}.__call__(arg1, arg2, ...)
}.
1011 \indexii{call
}{instance
}
1015 \subsection{Emulating sequence and mapping types
\label{sequence-types
}}
1017 The following methods can be defined to emulate sequence or mapping
1018 objects. The first set of methods is used either to emulate a
1019 sequence or to emulate a mapping; the difference is that for a
1020 sequence, the allowable keys should be the integers
\var{k
} for which
1021 \code{0 <=
\var{k
} <
\var{N
}} where
\var{N
} is the length of the
1022 sequence, and the method
\method{__getslice__()
} (see below) should be
1023 defined. It is also recommended that mappings provide methods
1024 \method{keys()
},
\method{values()
},
\method{items()
},
1025 \method{has_key()
},
\method{get()
},
\method{clear()
},
\method{copy()
},
1026 and
\method{update()
} behaving similar to those for
1027 Python's standard dictionary objects; mutable sequences should provide
1028 methods
\method{append()
},
\method{count()
},
\method{index()
},
1029 \method{insert()
},
\method{pop()
},
\method{remove()
},
\method{reverse()
}
1030 and
\method{sort()
}, like Python standard list objects. Finally,
1031 sequence types should implement addition (meaning concatenation) and
1032 multiplication (meaning repetition) by defining the methods
1033 \method{__add__()
},
\method{__radd__()
},
\method{__mul__()
} and
1034 \method{__rmul__()
} described below; they should not define
1035 \method{__coerce__()
} or other numerical operators.
1036 \withsubitem{(mapping object method)
}{
1045 \withsubitem{(sequence object method)
}{
1055 \ttindex{__radd__()
}
1057 \ttindex{__rmul__()
}}
1058 \withsubitem{(numeric object method)
}{\ttindex{__coerce__()
}}
1060 \begin{methoddesc
}[mapping object
]{__len__
}{self
}
1061 Called to implement the built-in function
1062 \function{len()
}\bifuncindex{len
}. Should return the length of the
1063 object, an integer
\code{>=
} 0. Also, an object that doesn't define a
1064 \method{__nonzero__()
} method and whose
\method{__len__()
} method
1065 returns zero is considered to be false in a Boolean context.
1066 \withsubitem{(object method)
}{\ttindex{__nonzero__()
}}
1069 \begin{methoddesc
}[mapping object
]{__getitem__
}{self, key
}
1070 Called to implement evaluation of
\code{\var{self
}[\var{key
}]}.
1071 For a sequence types, the accepted keys should be integers. Note that the
1072 special interpretation of negative indices (if the class wishes to
1073 emulate a sequence type) is up to the
\method{__getitem__()
} method.
1076 \begin{methoddesc
}[mapping object
]{__setitem__
}{self, key, value
}
1077 Called to implement assignment to
\code{\var{self
}[\var{key
}]}. Same
1078 note as for
\method{__getitem__()
}. This should only be implemented
1079 for mappings if the objects support changes to the values for keys, or
1080 if new keys can be added, or for sequences if elements can be
1084 \begin{methoddesc
}[mapping object
]{__delitem__
}{self, key
}
1085 Called to implement deletion of
\code{\var{self
}[\var{key
}]}. Same
1086 note as for
\method{__getitem__()
}. This should only be implemented
1087 for mappings if the objects support removal of keys, or for sequences
1088 if elements can be removed from the sequence.
1092 \subsection{Additional methods for emulation of sequence types
1093 \label{sequence-methods
}}
1095 The following methods can be defined to further emulate sequence
1096 objects. Immutable sequences methods should only define
1097 \method{__getslice__()
}; mutable sequences, should define all three
1100 \begin{methoddesc
}[sequence object
]{__getslice__
}{self, i, j
}
1101 Called to implement evaluation of
\code{\var{self
}[\var{i
}:
\var{j
}]}.
1102 The returned object should be of the same type as
\var{self
}. Note
1103 that missing
\var{i
} or
\var{j
} in the slice expression are replaced
1104 by zero or
\code{sys.maxint
}, respectively, and no further
1105 transformations on the indices is performed. The interpretation of
1106 negative indices and indices larger than the length of the sequence is
1110 \begin{methoddesc
}[sequence object
]{__setslice__
}{self, i, j, sequence
}
1111 Called to implement assignment to
\code{\var{self
}[\var{i
}:
\var{j
}]}.
1112 Same notes for
\var{i
} and
\var{j
} as for
\method{__getslice__()
}.
1115 \begin{methoddesc
}[sequence object
]{__delslice__
}{self, i, j
}
1116 Called to implement deletion of
\code{\var{self
}[\var{i
}:
\var{j
}]}.
1117 Same notes for
\var{i
} and
\var{j
} as for
\method{__getslice__()
}.
1120 Notice that these methods are only invoked when a single slice with a
1121 single colon is used. For slice operations involving extended slice
1122 notation,
\method{__getitem__()
},
\method{__setitem__()
}
1123 or
\method{__delitem__()
} is called.
1126 \subsection{Emulating numeric types
\label{numeric-types
}}
1128 The following methods can be defined to emulate numeric objects.
1129 Methods corresponding to operations that are not supported by the
1130 particular kind of number implemented (e.g., bitwise operations for
1131 non-integral numbers) should be left undefined.
1133 \begin{methoddesc
}[numeric object
]{__add__
}{self, other
}
1134 \methodline[numeric object
]{__sub__
}{self, other
}
1135 \methodline[numeric object
]{__mul__
}{self, other
}
1136 \methodline[numeric object
]{__div__
}{self, other
}
1137 \methodline[numeric object
]{__mod__
}{self, other
}
1138 \methodline[numeric object
]{__divmod__
}{self, other
}
1139 \methodline[numeric object
]{__pow__
}{self, other
\optional{, modulo
}}
1140 \methodline[numeric object
]{__lshift__
}{self, other
}
1141 \methodline[numeric object
]{__rshift__
}{self, other
}
1142 \methodline[numeric object
]{__and__
}{self, other
}
1143 \methodline[numeric object
]{__xor__
}{self, other
}
1144 \methodline[numeric object
]{__or__
}{self, other
}
1146 called to implement the binary arithmetic operations (
\code{+
},
1147 \code{-
},
\code{*
},
\code{/
},
\code{\%
},
1148 \function{divmod()
}\bifuncindex{divmod
},
1149 \function{pow()
}\bifuncindex{pow
},
\code{**
},
\code{<<
},
\code{>>
},
1150 \code{\&
},
\code{\^
},
\code{|
}). For instance, to evaluate the
1151 expression
\var{x
}\code{+
}\var{y
}, where
\var{x
} is an instance of a
1152 class that has an
\method{__add__()
} method,
1153 \code{\var{x
}.__add__(
\var{y
})
} is called. Note that
1154 \method{__pow__()
} should be defined to accept an optional third
1155 argument if the ternary version of the built-in
1156 \function{pow()
}\bifuncindex{pow
} function is to be supported.
1159 \begin{methoddesc
}[numeric object
]{__radd__
}{self, other
}
1160 \methodline[numeric object
]{__rsub__
}{self, other
}
1161 \methodline[numeric object
]{__rmul__
}{self, other
}
1162 \methodline[numeric object
]{__rdiv__
}{self, other
}
1163 \methodline[numeric object
]{__rmod__
}{self, other
}
1164 \methodline[numeric object
]{__rdivmod__
}{self, other
}
1165 \methodline[numeric object
]{__rpow__
}{self, other
}
1166 \methodline[numeric object
]{__rlshift__
}{self, other
}
1167 \methodline[numeric object
]{__rrshift__
}{self, other
}
1168 \methodline[numeric object
]{__rand__
}{self, other
}
1169 \methodline[numeric object
]{__rxor__
}{self, other
}
1170 \methodline[numeric object
]{__ror__
}{self, other
}
1172 called to implement the binary arithmetic operations (
\code{+
},
1173 \code{-
},
\code{*
},
\code{/
},
\code{\%
},
1174 \function{divmod()
}\bifuncindex{divmod
},
1175 \function{pow()
}\bifuncindex{pow
},
\code{**
},
\code{<<
},
\code{>>
},
1176 \code{\&
},
\code{\^
},
\code{|
}) with reversed operands. These
1177 functions are only called if the left operand does not support the
1178 corresponding operation. For instance, to evaluate the expression
1179 \var{x
}\code{-
}\var{y
}, where
\var{y
} is an instance of a class that
1180 has an
\method{__rsub__()
} method,
\code{\var{y
}.__rsub__(
\var{x
})
} is
1181 called. Note that ternary
\function{pow()
}\bifuncindex{pow
} will not
1182 try calling
\method{__rpow__()
} (the coercion rules would become too
1186 \begin{methoddesc
}[numeric object
]{__neg__
}{self
}
1187 \methodline[numeric object
]{__pos__
}{self
}
1188 \methodline[numeric object
]{__abs__
}{self
}
1189 \methodline[numeric object
]{__invert__
}{self
}
1190 Called to implement the unary arithmetic operations (
\code{-
},
\code{+
},
1191 \function{abs()
}\bifuncindex{abs
} and
\code{~
}).
1194 \begin{methoddesc
}[numeric object
]{__complex__
}{self
}
1195 \methodline[numeric object
]{__int__
}{self
}
1196 \methodline[numeric object
]{__long__
}{self
}
1197 \methodline[numeric object
]{__float__
}{self
}
1198 Called to implement the built-in functions
1199 \function{complex()
}\bifuncindex{complex
},
1200 \function{int()
}\bifuncindex{int
},
\function{long()
}\bifuncindex{long
},
1201 and
\function{float()
}\bifuncindex{float
}. Should return a value of
1202 the appropriate type.
1205 \begin{methoddesc
}[numeric object
]{__oct__
}{self
}
1206 \methodline[numeric object
]{__hex__
}{self
}
1207 Called to implement the built-in functions
1208 \function{oct()
}\bifuncindex{oct
} and
1209 \function{hex()
}\bifuncindex{hex
}. Should return a string value.
1212 \begin{methoddesc
}[numeric object
]{__coerce__
}{self, other
}
1213 Called to implement ``mixed-mode'' numeric arithmetic. Should either
1214 return a
2-tuple containing
\var{self
} and
\var{other
} converted to
1215 a common numeric type, or
\code{None
} if conversion is impossible. When
1216 the common type would be the type of
\code{other
}, it is sufficient to
1217 return
\code{None
}, since the interpreter will also ask the other
1218 object to attempt a coercion (but sometimes, if the implementation of
1219 the other type cannot be changed, it is useful to do the conversion to
1220 the other type here).
1223 \strong{Coercion rules
}: to evaluate
\var{x
} \var{op
} \var{y
}, the
1224 following steps are taken (where
\method{__op__()
} and
1225 \method{__rop__()
} are the method names corresponding to
\var{op
},
1226 e.g., if var
{op
} is `
\code{+
}',
\method{__add__()
} and
1227 \method{__radd__()
} are used). If an exception occurs at any point,
1228 the evaluation is abandoned and exception handling takes over.
1232 \item[0.
] If
\var{x
} is a string object and op is the modulo operator (\%),
1233 the string formatting operation is invoked and the remaining steps are
1236 \item[1.
] If
\var{x
} is a class instance:
1240 \item[1a.
] If
\var{x
} has a
\method{__coerce__()
} method:
1241 replace
\var{x
} and
\var{y
} with the
2-tuple returned by
1242 \code{\var{x
}.__coerce__(
\var{y
})
}; skip to step
2 if the
1243 coercion returns
\code{None
}.
1245 \item[1b.
] If neither
\var{x
} nor
\var{y
} is a class instance
1246 after coercion, go to step
3.
1248 \item[1c.
] If
\var{x
} has a method
\method{__op__()
}, return
1249 \code{\var{x
}.__op__(
\var{y
})
}; otherwise, restore
\var{x
} and
1250 \var{y
} to their value before step
1a.
1254 \item[2.
] If
\var{y
} is a class instance:
1258 \item[2a.
] If
\var{y
} has a
\method{__coerce__()
} method:
1259 replace
\var{y
} and
\var{x
} with the
2-tuple returned by
1260 \code{\var{y
}.__coerce__(
\var{x
})
}; skip to step
3 if the
1261 coercion returns
\code{None
}.
1263 \item[2b.
] If neither
\var{x
} nor
\var{y
} is a class instance
1264 after coercion, go to step
3.
1266 \item[2b.
] If
\var{y
} has a method
\method{__rop__()
}, return
1267 \code{\var{y
}.__rop__(
\var{x
})
}; otherwise, restore
\var{x
}
1268 and
\var{y
} to their value before step
2a.
1272 \item[3.
] We only get here if neither
\var{x
} nor
\var{y
} is a class
1277 \item[3a.
] If op is `
\code{+
}' and
\var{x
} is a sequence,
1278 sequence concatenation is invoked.
1280 \item[3b.
] If op is `
\code{*
}' and one operand is a sequence
1281 and the other an integer, sequence repetition is invoked.
1283 \item[3c.
] Otherwise, both operands must be numbers; they are
1284 coerced to a common type if possible, and the numeric
1285 operation is invoked for that type.