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@ -27,25 +27,19 @@ Arithmetic conversions
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.. index:: pair: arithmetic; conversion
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.. XXX no coercion rules are documented anymore
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When a description of an arithmetic operator below uses the phrase "the numeric
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arguments are converted to a common type," the arguments are coerced using the
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coercion rules. If both arguments are standard
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numeric types, the following coercions are applied:
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arguments are converted to a common type," this means that the operator
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implementation for built-in types works that way:
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* If either argument is a complex number, the other is converted to complex;
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* otherwise, if either argument is a floating point number, the other is
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converted to floating point;
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* otherwise, if either argument is a long integer, the other is converted to
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long integer;
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* otherwise, both must be plain integers and no conversion is necessary.
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* otherwise, both must be integers and no conversion is necessary.
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Some additional rules apply for certain operators (e.g., a string left argument
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to the '%' operator). Extensions can define their own coercions.
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to the '%' operator). Extensions must define their own conversion behavior.
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.. _atoms:
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@ -53,18 +47,16 @@ to the '%' operator). Extensions can define their own coercions.
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Atoms
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=====
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.. index:: single: atom
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.. index:: atom
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Atoms are the most basic elements of expressions. The simplest atoms are
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identifiers or literals. Forms enclosed in reverse quotes or in parentheses,
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brackets or braces are also categorized syntactically as atoms. The syntax for
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atoms is:
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identifiers or literals. Forms enclosed in parentheses, brackets or braces are
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also categorized syntactically as atoms. The syntax for atoms is:
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.. productionlist::
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atom: `identifier` | `literal` | `enclosure`
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enclosure: `parenth_form` | `list_display`
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: | `generator_expression` | `dict_display`
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: | `string_conversion` | `yield_atom`
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enclosure: `parenth_form` | `list_display` | `dict_display` | `set_display`
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: | `generator_expression` | `yield_atom`
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.. _atom-identifiers:
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@ -72,9 +64,7 @@ atoms is:
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Identifiers (Names)
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-------------------
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.. index::
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single: name
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single: identifier
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.. index:: name, identifier
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An identifier occurring as an atom is a name. See section :ref:`identifiers`
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for lexical definition and section :ref:`naming` for documentation of naming and
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@ -103,9 +93,6 @@ transformed name is extremely long (longer than 255 characters), implementation
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defined truncation may happen. If the class name consists only of underscores,
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no transformation is done.
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.. %
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.. %
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.. _atom-literals:
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@ -114,26 +101,26 @@ Literals
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.. index:: single: literal
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Python supports string literals and various numeric literals:
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Python supports string and bytes literals and various numeric literals:
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.. productionlist::
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literal: `stringliteral` | `integer` | `longinteger`
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: | `floatnumber` | `imagnumber`
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literal: `stringliteral` | `bytesliteral`
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: | `integer` | `floatnumber` | `imagnumber`
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Evaluation of a literal yields an object of the given type (string, integer,
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long integer, floating point number, complex number) with the given value. The
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value may be approximated in the case of floating point and imaginary (complex)
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Evaluation of a literal yields an object of the given type (string, bytes,
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integer, floating point number, complex number) with the given value. The value
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may be approximated in the case of floating point and imaginary (complex)
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literals. See section :ref:`literals` for details.
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.. index::
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triple: immutable; data; type
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pair: immutable; object
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All literals correspond to immutable data types, and hence the object's identity
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is less important than its value. Multiple evaluations of literals with the
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same value (either the same occurrence in the program text or a different
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occurrence) may obtain the same object or a different object with the same
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value.
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With the exception of bytes literals, these all correspond to immutable data
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types, and hence the object's identity is less important than its value.
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Multiple evaluations of literals with the same value (either the same occurrence
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in the program text or a different occurrence) may obtain the same object or a
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different object with the same value.
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.. _parenthesized:
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@ -168,6 +155,35 @@ required --- allowing unparenthesized "nothing" in expressions would cause
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ambiguities and allow common typos to pass uncaught.
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.. _comprehensions:
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Displays for lists, sets and dictionaries
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-----------------------------------------
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For constructing a list, a set or a dictionary Python provides special syntax
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called "displays", each of them in two flavors:
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* either the container contents are listed explicitly, or
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* they are computed via a set of looping and filtering instructions, called a
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:dfn:`comprehension`.
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Common syntax elements for comprehensions are:
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.. productionlist::
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comprehension: `expression` `comp_for`
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comp_for: "for" `target_list` "in" `or_test` [`comp_iter`]
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comp_iter: `comp_for` | `comp_if`
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comp_if: "if" `expression_nocond` [`comp_iter`]
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The comprehension consists of a single expression followed by at least one
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:keyword:`for` clause and zero or more :keyword:`for` or :keyword:`if` clauses.
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In this case, the elements of the new container are those that would be produced
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by considering each of the :keyword:`for` or :keyword:`if` clauses a block,
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nesting from left to right, and evaluating the expression to produce an element
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each time the innermost block is reached.
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.. _lists:
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List displays
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@ -176,71 +192,41 @@ List displays
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.. index::
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pair: list; display
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pair: list; comprehensions
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pair: empty; list
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object: list
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A list display is a possibly empty series of expressions enclosed in square
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brackets:
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.. productionlist::
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list_display: "[" [`expression_list` | `list_comprehension`] "]"
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list_comprehension: `expression` `list_for`
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list_for: "for" `target_list` "in" `old_expression_list` [`list_iter`]
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old_expression_list: `old_expression` [("," `old_expression`)+ [","]]
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list_iter: `list_for` | `list_if`
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list_if: "if" `old_expression` [`list_iter`]
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list_display: "[" [`expression_list` | `comprehension`] "]"
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.. index::
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pair: list; comprehensions
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object: list
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pair: empty; list
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A list display yields a new list object. Its contents are specified by
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providing either a list of expressions or a list comprehension. When a
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comma-separated list of expressions is supplied, its elements are evaluated from
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left to right and placed into the list object in that order. When a list
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comprehension is supplied, it consists of a single expression followed by at
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least one :keyword:`for` clause and zero or more :keyword:`for` or :keyword:`if`
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clauses. In this case, the elements of the new list are those that would be
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produced by considering each of the :keyword:`for` or :keyword:`if` clauses a
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block, nesting from left to right, and evaluating the expression to produce a
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list element each time the innermost block is reached [#]_.
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A list display yields a new list object, the contents being specified by either
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a list of expressions or a comprehension. When a comma-separated list of
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expressions is supplied, its elements are evaluated from left to right and
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placed into the list object in that order. When a comprehension is supplied,
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the list is constructed from the elements resulting from the comprehension.
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.. _genexpr:
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.. _set:
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Generator expressions
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---------------------
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Set displays
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------------
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.. index:: pair: generator; expression
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.. index:: pair: set; display
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object: set
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A generator expression is a compact generator notation in parentheses:
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A set display is denoted by curly braces and distinguishable from dictionary
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displays by the lack of colons separating keys and values:
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.. productionlist::
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generator_expression: "(" `expression` `genexpr_for` ")"
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genexpr_for: "for" `target_list` "in" `or_test` [`genexpr_iter`]
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genexpr_iter: `genexpr_for` | `genexpr_if`
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genexpr_if: "if" `old_expression` [`genexpr_iter`]
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set_display: "{" [`expression_list` | `comprehension`] "}"
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.. index:: object: generator
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A generator expression yields a new generator object. It consists of a single
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expression followed by at least one :keyword:`for` clause and zero or more
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:keyword:`for` or :keyword:`if` clauses. The iterating values of the new
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generator are those that would be produced by considering each of the
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:keyword:`for` or :keyword:`if` clauses a block, nesting from left to right, and
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evaluating the expression to yield a value that is reached the innermost block
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for each iteration.
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Variables used in the generator expression are evaluated lazily when the
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:meth:`__next__` method is called for generator object (in the same fashion as
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normal generators). However, the leftmost :keyword:`for` clause is immediately
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evaluated so that error produced by it can be seen before any other possible
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error in the code that handles the generator expression. Subsequent
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:keyword:`for` clauses cannot be evaluated immediately since they may depend on
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the previous :keyword:`for` loop. For example: ``(x*y for x in range(10) for y
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in bar(x))``.
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The parentheses can be omitted on calls with only one argument. See section
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:ref:`calls` for the detail.
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A set display yields a new mutable set object, the contents being specified by
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either a sequence of expressions or a comprehension. When a comma-separated
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list of expressions is supplied, its elements are evaluated from left to right
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and added to the set object. When a comprehension is supplied, the set is
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constructed from the elements resulting from the comprehension.
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.. _dict:
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@ -249,29 +235,33 @@ Dictionary displays
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-------------------
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.. index:: pair: dictionary; display
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.. index::
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single: key
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single: datum
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single: key/datum pair
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key, datum, key/datum pair
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object: dictionary
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A dictionary display is a possibly empty series of key/datum pairs enclosed in
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curly braces:
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.. productionlist::
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dict_display: "{" [`key_datum_list`] "}"
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dict_display: "{" [`key_datum_list` | `dict_comprehension`] "}"
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key_datum_list: `key_datum` ("," `key_datum`)* [","]
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key_datum: `expression` ":" `expression`
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.. index:: object: dictionary
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dict_comprehension: `expression` ":" `expression` `comp_for`
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A dictionary display yields a new dictionary object.
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The key/datum pairs are evaluated from left to right to define the entries of
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the dictionary: each key object is used as a key into the dictionary to store
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the corresponding datum.
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If a comma-separated sequence of key/datum pairs is given, they are evaluated
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from left to right to define the entries of the dictionary: each key object is
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used as a key into the dictionary to store the corresponding datum. This means
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that you can specify the same key multiple times in the key/datum list, and the
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final dictionary's value for that key will be the last one given.
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A dict comprehension, in contrast to list and set comprehensions, needs two
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expressions separated with a colon followed by the usual "for" and "if" clauses.
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When the comprehension is run, the resulting key and value elements are inserted
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in the new dictionary in the order they are produced.
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.. index:: pair: immutable; object
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hashable
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Restrictions on the types of the key values are listed earlier in section
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:ref:`types`. (To summarize, the key type should be hashable, which excludes
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@ -280,6 +270,36 @@ datum (textually rightmost in the display) stored for a given key value
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prevails.
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.. _genexpr:
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Generator expressions
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---------------------
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.. index:: pair: generator; expression
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object: generator
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A generator expression is a compact generator notation in parentheses:
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.. productionlist::
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generator_expression: "(" `expression` `comp_for` ")"
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A generator expression yields a new generator object. Its syntax is the same as
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for comprehensions, except that it is enclosed in parentheses instead of
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brackets or curly braces.
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Variables used in the generator expression are evaluated lazily when the
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:meth:`__next__` method is called for generator object (in the same fashion as
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normal generators). However, the leftmost :keyword:`for` clause is immediately
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evaluated, so that an error produced by it can be seen before any other possible
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|
error in the code that handles the generator expression. Subsequent
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|
:keyword:`for` clauses cannot be evaluated immediately since they may depend on
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|
the previous :keyword:`for` loop. For example: ``(x*y for x in range(10) for y
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|
in bar(x))``.
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|
The parentheses can be omitted on calls with only one argument. See section
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:ref:`calls` for the detail.
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.. _yieldexpr:
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Yield expressions
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@ -295,7 +315,7 @@ Yield expressions
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yield_expression: "yield" [`expression_list`]
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The :keyword:`yield` expression is only used when defining a generator function,
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and can only be used in the body of a function definition. Using a
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and can only be used in the body of a function definition. Using a
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:keyword:`yield` expression in a function definition is sufficient to cause that
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definition to create a generator function instead of a normal function.
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@ -308,7 +328,7 @@ generator's caller. By suspended we mean that all local state is retained,
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including the current bindings of local variables, the instruction pointer, and
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the internal evaluation stack. When the execution is resumed by calling one of
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the generator's methods, the function can proceed exactly as if the
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:keyword:`yield` expression was just another external call. The value of the
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:keyword:`yield` expression was just another external call. The value of the
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:keyword:`yield` expression after resuming depends on the method which resumed
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the execution.
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@ -328,16 +348,19 @@ generator function:
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.. index:: exception: StopIteration
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.. method:: generator.next()
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.. method:: generator.__next__()
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Starts the execution of a generator function or resumes it at the last executed
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:keyword:`yield` expression. When a generator function is resumed with a
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:meth:`next` method, the current :keyword:`yield` expression always evaluates to
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:const:`None`. The execution then continues to the next :keyword:`yield`
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expression, where the generator is suspended again, and the value of the
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:token:`expression_list` is returned to :meth:`next`'s caller. If the generator
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exits without yielding another value, a :exc:`StopIteration` exception is
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raised.
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Starts the execution of a generator function or resumes it at the last
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executed :keyword:`yield` expression. When a generator function is resumed
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with a :meth:`next` method, the current :keyword:`yield` expression always
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evaluates to :const:`None`. The execution then continues to the next
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:keyword:`yield` expression, where the generator is suspended again, and the
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value of the :token:`expression_list` is returned to :meth:`next`'s caller.
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If the generator exits without yielding another value, a :exc:`StopIteration`
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exception is raised.
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This method is normally called implicitly, e.g. by a :keyword:`for` loop, or
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by the built-in :func:`next` function.
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.. method:: generator.send(value)
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@ -346,8 +369,8 @@ generator function:
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``value`` argument becomes the result of the current :keyword:`yield`
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expression. The :meth:`send` method returns the next value yielded by the
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generator, or raises :exc:`StopIteration` if the generator exits without
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yielding another value. When :meth:`send` is called to start the generator, it
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must be called with :const:`None` as the argument, because there is no
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yielding another value. When :meth:`send` is called to start the generator,
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it must be called with :const:`None` as the argument, because there is no
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:keyword:`yield` expression that could receieve the value.
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@ -365,12 +388,12 @@ generator function:
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.. method:: generator.close()
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Raises a :exc:`GeneratorExit` at the point where the generator function was
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paused. If the generator function then raises :exc:`StopIteration` (by exiting
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normally, or due to already being closed) or :exc:`GeneratorExit` (by not
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catching the exception), close returns to its caller. If the generator yields a
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value, a :exc:`RuntimeError` is raised. If the generator raises any other
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exception, it is propagated to the caller. :meth:`close` does nothing if the
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generator has already exited due to an exception or normal exit.
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paused. If the generator function then raises :exc:`StopIteration` (by
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exiting normally, or due to already being closed) or :exc:`GeneratorExit` (by
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not catching the exception), close returns to its caller. If the generator
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yields a value, a :exc:`RuntimeError` is raised. If the generator raises any
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other exception, it is propagated to the caller. :meth:`close` does nothing
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if the generator has already exited due to an exception or normal exit.
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Here is a simple example that demonstrates the behavior of generators and
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generator functions::
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@ -390,10 +413,10 @@ generator functions::
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... print("Don't forget to clean up when 'close()' is called.")
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...
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>>> generator = echo(1)
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>>> print(generator.next())
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>>> print(next(generator))
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Execution starts when 'next()' is called for the first time.
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1
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>>> print(generator.next())
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>>> print(next(generator))
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None
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>>> print(generator.send(2))
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2
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@ -406,8 +429,8 @@ generator functions::
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.. seealso::
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:pep:`0342` - Coroutines via Enhanced Generators
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The proposal to enhance the API and syntax of generators, making them usable as
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simple coroutines.
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The proposal to enhance the API and syntax of generators, making them
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usable as simple coroutines.
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.. _primaries:
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@ -442,11 +465,12 @@ An attribute reference is a primary followed by a period and a name:
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object: list
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The primary must evaluate to an object of a type that supports attribute
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references, e.g., a module, list, or an instance. This object is then asked to
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produce the attribute whose name is the identifier. If this attribute is not
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available, the exception :exc:`AttributeError` is raised. Otherwise, the type
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and value of the object produced is determined by the object. Multiple
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evaluations of the same attribute reference may yield different objects.
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references, which most objects do. This object is then asked to produce the
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attribute whose name is the identifier (which can be customized by overriding
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the :meth:`__getattr__` method). If this attribute is not available, the
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exception :exc:`AttributeError` is raised. Otherwise, the type and value of the
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object produced is determined by the object. Multiple evaluations of the same
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attribute reference may yield different objects.
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.. _subscriptions:
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@ -471,19 +495,22 @@ A subscription selects an item of a sequence (string, tuple or list) or mapping
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.. productionlist::
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subscription: `primary` "[" `expression_list` "]"
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The primary must evaluate to an object of a sequence or mapping type.
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The primary must evaluate to an object that supports subscription, e.g. a list
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or dictionary. User-defined objects can support subscription by defining a
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:meth:`__getitem__` method.
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For built-in objects, there are two types of objects that support subscription:
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If the primary is a mapping, the expression list must evaluate to an object
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whose value is one of the keys of the mapping, and the subscription selects the
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value in the mapping that corresponds to that key. (The expression list is a
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tuple except if it has exactly one item.)
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If the primary is a sequence, the expression (list) must evaluate to a plain
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integer. If this value is negative, the length of the sequence is added to it
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(so that, e.g., ``x[-1]`` selects the last item of ``x``.) The resulting value
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must be a nonnegative integer less than the number of items in the sequence, and
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the subscription selects the item whose index is that value (counting from
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zero).
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If the primary is a sequence, the expression (list) must evaluate to an integer.
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If this value is negative, the length of the sequence is added to it (so that,
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e.g., ``x[-1]`` selects the last item of ``x``.) The resulting value must be a
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nonnegative integer less than the number of items in the sequence, and the
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subscription selects the item whose index is that value (counting from zero).
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.. index::
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|
single: character
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@ -534,15 +561,16 @@ slice list contains no proper slice).
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single: step (slice object attribute)
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The semantics for a slicing are as follows. The primary must evaluate to a
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mapping object, and it is indexed with a key that is constructed from the
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|
slice list, as follows. If the slice list contains at least one comma, the
|
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|
key is a tuple containing the conversion of the slice items; otherwise, the
|
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|
|
conversion of the lone slice item is the key. The conversion of a slice
|
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|
|
item that is an expression is that expression. The conversion of a proper
|
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|
|
slice is a slice object (see section :ref:`types`) whose :attr:`start`,
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|
|
:attr:`stop` and :attr:`step` attributes are the values of the expressions
|
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|
|
given as lower bound, upper bound and stride, respectively, substituting
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|
|
``None`` for missing expressions.
|
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|
mapping object, and it is indexed (using the same :meth:`__getitem__` method as
|
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|
|
normal subscription) with a key that is constructed from the slice list, as
|
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|
|
follows. If the slice list contains at least one comma, the key is a tuple
|
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|
|
containing the conversion of the slice items; otherwise, the conversion of the
|
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|
|
|
lone slice item is the key. The conversion of a slice item that is an
|
|
|
|
|
expression is that expression. The conversion of a proper slice is a slice
|
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|
|
object (see section :ref:`types`) whose :attr:`start`, :attr:`stop` and
|
|
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|
|
:attr:`step` attributes are the values of the expressions given as lower bound,
|
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|
|
upper bound and stride, respectively, substituting ``None`` for missing
|
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|
|
expressions.
|
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.. _calls:
|
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@ -576,10 +604,11 @@ does not affect the semantics.
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|
The primary must evaluate to a callable object (user-defined functions, built-in
|
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|
|
functions, methods of built-in objects, class objects, methods of class
|
|
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|
|
instances, and certain class instances themselves are callable; extensions may
|
|
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|
|
define additional callable object types). All argument expressions are
|
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|
|
evaluated before the call is attempted. Please refer to section :ref:`function`
|
|
|
|
|
for the syntax of formal parameter lists.
|
|
|
|
|
instances, and all objects having a :meth:`__call__` method are callable). All
|
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|
|
argument expressions are evaluated before the call is attempted. Please refer
|
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|
|
|
to section :ref:`function` for the syntax of formal parameter lists.
|
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|
|
.. XXX update with kwonly args PEP
|
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|
If keyword arguments are present, they are first converted to positional
|
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|
|
arguments, as follows. First, a list of unfilled slots is created for the
|
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|
@ -722,16 +751,12 @@ for the operands): ``-1**2`` results in ``-1``.
|
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|
|
The power operator has the same semantics as the built-in :func:`pow` function,
|
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|
|
when called with two arguments: it yields its left argument raised to the power
|
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|
|
of its right argument. The numeric arguments are first converted to a common
|
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|
|
type. The result type is that of the arguments after coercion.
|
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|
type, and the result is of that type.
|
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|
|
With mixed operand types, the coercion rules for binary arithmetic operators
|
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|
|
apply. For int and long int operands, the result has the same type as the
|
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|
|
operands (after coercion) unless the second argument is negative; in that case,
|
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|
|
all arguments are converted to float and a float result is delivered. For
|
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|
|
|
example, ``10**2`` returns ``100``, but ``10**-2`` returns ``0.01``. (This last
|
|
|
|
|
feature was added in Python 2.2. In Python 2.1 and before, if both arguments
|
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|
|
were of integer types and the second argument was negative, an exception was
|
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|
|
raised).
|
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|
|
For int operands, the result has the same type as the operands unless the second
|
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|
|
argument is negative; in that case, all arguments are converted to float and a
|
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|
|
float result is delivered. For example, ``10**2`` returns ``100``, but
|
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|
|
``10**-2`` returns ``0.01``.
|
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|
Raising ``0.0`` to a negative power results in a :exc:`ZeroDivisionError`.
|
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|
|
Raising a negative number to a fractional power results in a :exc:`ValueError`.
|
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|
|
@ -763,9 +788,9 @@ The unary ``+`` (plus) operator yields its numeric argument unchanged.
|
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|
.. index:: single: inversion
|
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|
|
The unary ``~`` (invert) operator yields the bit-wise inversion of its plain or
|
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|
|
|
long integer argument. The bit-wise inversion of ``x`` is defined as
|
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|
|
``-(x+1)``. It only applies to integral numbers.
|
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|
|
The unary ``~`` (invert) operator yields the bit-wise inversion of its integer
|
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|
|
argument. The bit-wise inversion of ``x`` is defined as ``-(x+1)``. It only
|
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|
|
applies to integral numbers.
|
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|
.. index:: exception: TypeError
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@ -793,11 +818,10 @@ operators and one for additive operators:
|
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|
.. index:: single: multiplication
|
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|
|
The ``*`` (multiplication) operator yields the product of its arguments. The
|
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|
|
arguments must either both be numbers, or one argument must be an integer (plain
|
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|
|
|
or long) and the other must be a sequence. In the former case, the numbers are
|
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|
|
converted to a common type and then multiplied together. In the latter case,
|
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|
|
sequence repetition is performed; a negative repetition factor yields an empty
|
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|
|
sequence.
|
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|
|
|
arguments must either both be numbers, or one argument must be an integer and
|
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|
|
the other must be a sequence. In the former case, the numbers are converted to a
|
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|
|
|
common type and then multiplied together. In the latter case, sequence
|
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|
|
|
repetition is performed; a negative repetition factor yields an empty sequence.
|
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|
|
|
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|
|
.. index::
|
|
|
|
|
exception: ZeroDivisionError
|
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|
@ -805,9 +829,10 @@ sequence.
|
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|
|
The ``/`` (division) and ``//`` (floor division) operators yield the quotient of
|
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|
|
their arguments. The numeric arguments are first converted to a common type.
|
|
|
|
|
Plain or long integer division yields an integer of the same type; the result is
|
|
|
|
|
that of mathematical division with the 'floor' function applied to the result.
|
|
|
|
|
Division by zero raises the :exc:`ZeroDivisionError` exception.
|
|
|
|
|
Integer division yields a float, while floor division of integers results in an
|
|
|
|
|
integer; the result is that of mathematical division with the 'floor' function
|
|
|
|
|
applied to the result. Division by zero raises the :exc:`ZeroDivisionError`
|
|
|
|
|
exception.
|
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|
|
|
|
|
|
|
.. index:: single: modulo
|
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|
|
|
|
|
|
|
@ -820,25 +845,23 @@ result with the same sign as its second operand (or zero); the absolute value of
|
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|
|
the result is strictly smaller than the absolute value of the second operand
|
|
|
|
|
[#]_.
|
|
|
|
|
|
|
|
|
|
The integer division and modulo operators are connected by the following
|
|
|
|
|
identity: ``x == (x/y)*y + (x%y)``. Integer division and modulo are also
|
|
|
|
|
connected with the built-in function :func:`divmod`: ``divmod(x, y) == (x/y,
|
|
|
|
|
x%y)``. These identities don't hold for floating point numbers; there similar
|
|
|
|
|
identities hold approximately where ``x/y`` is replaced by ``floor(x/y)`` or
|
|
|
|
|
``floor(x/y) - 1`` [#]_.
|
|
|
|
|
The floor division and modulo operators are connected by the following
|
|
|
|
|
identity: ``x == (x//y)*y + (x%y)``. Floor division and modulo are also
|
|
|
|
|
connected with the built-in function :func:`divmod`: ``divmod(x, y) == (x//y,
|
|
|
|
|
x%y)``. [#]_.
|
|
|
|
|
|
|
|
|
|
In addition to performing the modulo operation on numbers, the ``%`` operator is
|
|
|
|
|
also overloaded by string objects to perform string formatting (also
|
|
|
|
|
known as interpolation). The syntax for string formatting is described in the
|
|
|
|
|
also overloaded by string objects to perform old-style string formatting (also
|
|
|
|
|
known as interpolation). The syntax for string formatting is described in the
|
|
|
|
|
Python Library Reference, section :ref:`old-string-formatting`.
|
|
|
|
|
|
|
|
|
|
The floor division operator, the modulo operator, and the :func:`divmod`
|
|
|
|
|
function are not defined for complex numbers. Instead, convert to a
|
|
|
|
|
floating point number using the :func:`abs` function if appropriate.
|
|
|
|
|
function are not defined for complex numbers. Instead, convert to a floating
|
|
|
|
|
point number using the :func:`abs` function if appropriate.
|
|
|
|
|
|
|
|
|
|
.. index:: single: addition
|
|
|
|
|
|
|
|
|
|
The ``+`` (addition) operator yields the sum of its arguments. The arguments
|
|
|
|
|
The ``+`` (addition) operator yields the sum of its arguments. The arguments
|
|
|
|
|
must either both be numbers or both sequences of the same type. In the former
|
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|
|
|
case, the numbers are converted to a common type and then added together. In
|
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|
the latter case, the sequences are concatenated.
|
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@ -861,17 +884,13 @@ The shifting operations have lower priority than the arithmetic operations:
|
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|
.. productionlist::
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|
shift_expr: `a_expr` | `shift_expr` ( "<<" | ">>" ) `a_expr`
|
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These operators accept plain or long integers as arguments. The arguments are
|
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|
|
converted to a common type. They shift the first argument to the left or right
|
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|
|
by the number of bits given by the second argument.
|
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|
|
These operators accept integers as arguments. They shift the first argument to
|
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|
the left or right by the number of bits given by the second argument.
|
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.. index:: exception: ValueError
|
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A right shift by *n* bits is defined as division by ``pow(2,n)``. A left shift
|
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|
by *n* bits is defined as multiplication with ``pow(2,n)``; for plain integers
|
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|
there is no overflow check so in that case the operation drops bits and flips
|
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|
the sign if the result is not less than ``pow(2,31)`` in absolute value.
|
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|
Negative shift counts raise a :exc:`ValueError` exception.
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by *n* bits is defined as multiplication with ``pow(2,n)``.
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.. _bitwise:
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@ -890,22 +909,22 @@ Each of the three bitwise operations has a different priority level:
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.. index:: pair: bit-wise; and
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The ``&`` operator yields the bitwise AND of its arguments, which must be plain
|
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|
or long integers. The arguments are converted to a common type.
|
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|
The ``&`` operator yields the bitwise AND of its arguments, which must be
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|
integers.
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|
.. index::
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|
pair: bit-wise; xor
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pair: exclusive; or
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The ``^`` operator yields the bitwise XOR (exclusive OR) of its arguments, which
|
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|
must be plain or long integers. The arguments are converted to a common type.
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|
must be integers.
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|
.. index::
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|
pair: bit-wise; or
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|
pair: inclusive; or
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|
|
The ``|`` operator yields the bitwise (inclusive) OR of its arguments, which
|
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|
|
must be plain or long integers. The arguments are converted to a common type.
|
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|
|
|
must be integers.
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|
.. _comparisons:
|
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|
@ -949,8 +968,8 @@ values of two objects. The objects need not have the same type. If both are
|
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|
|
numbers, they are converted to a common type. Otherwise, objects of different
|
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|
|
|
types *always* compare unequal, and are ordered consistently but arbitrarily.
|
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|
|
|
You can control comparison behavior of objects of non-builtin types by defining
|
|
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|
|
a ``__cmp__`` method or rich comparison methods like ``__gt__``, described in
|
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|
|
|
section :ref:`specialnames`.
|
|
|
|
|
a :meth:`__cmp__` method or rich comparison methods like :meth:`__gt__`,
|
|
|
|
|
described in section :ref:`specialnames`.
|
|
|
|
|
|
|
|
|
|
(This unusual definition of comparison was used to simplify the definition of
|
|
|
|
|
operations like sorting and the :keyword:`in` and :keyword:`not in` operators.
|
|
|
|
@ -961,12 +980,12 @@ Comparison of objects of the same type depends on the type:
|
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|
|
|
|
|
|
|
|
* Numbers are compared arithmetically.
|
|
|
|
|
|
|
|
|
|
* Bytes objects are compared lexicographically using the numeric values of
|
|
|
|
|
their elements.
|
|
|
|
|
* Bytes objects are compared lexicographically using the numeric values of their
|
|
|
|
|
elements.
|
|
|
|
|
|
|
|
|
|
* Strings are compared lexicographically using the numeric equivalents (the
|
|
|
|
|
result of the built-in function :func:`ord`) of their characters. [#]_
|
|
|
|
|
String and bytes object can't be compared!
|
|
|
|
|
result of the built-in function :func:`ord`) of their characters. [#]_ String
|
|
|
|
|
and bytes object can't be compared!
|
|
|
|
|
|
|
|
|
|
* Tuples and lists are compared lexicographically using comparison of
|
|
|
|
|
corresponding elements. This means that to compare equal, each element must
|
|
|
|
@ -975,11 +994,11 @@ Comparison of objects of the same type depends on the type:
|
|
|
|
|
|
|
|
|
|
If not equal, the sequences are ordered the same as their first differing
|
|
|
|
|
elements. For example, ``cmp([1,2,x], [1,2,y])`` returns the same as
|
|
|
|
|
``cmp(x,y)``. If the corresponding element does not exist, the shorter sequence
|
|
|
|
|
is ordered first (for example, ``[1,2] < [1,2,3]``).
|
|
|
|
|
``cmp(x,y)``. If the corresponding element does not exist, the shorter
|
|
|
|
|
sequence is ordered first (for example, ``[1,2] < [1,2,3]``).
|
|
|
|
|
|
|
|
|
|
* Mappings (dictionaries) compare equal if and only if their sorted (key, value)
|
|
|
|
|
lists compare equal. [#]_ Outcomes other than equality are resolved
|
|
|
|
|
* Mappings (dictionaries) compare equal if and only if their sorted ``(key,
|
|
|
|
|
value)`` lists compare equal. [#]_ Outcomes other than equality are resolved
|
|
|
|
|
consistently, but are not otherwise defined. [#]_
|
|
|
|
|
|
|
|
|
|
* Most other objects of builtin types compare unequal unless they are the same
|
|
|
|
@ -987,14 +1006,11 @@ Comparison of objects of the same type depends on the type:
|
|
|
|
|
another one is made arbitrarily but consistently within one execution of a
|
|
|
|
|
program.
|
|
|
|
|
|
|
|
|
|
The operators :keyword:`in` and :keyword:`not in` test for set membership. ``x
|
|
|
|
|
in s`` evaluates to true if *x* is a member of the set *s*, and false otherwise.
|
|
|
|
|
``x not in s`` returns the negation of ``x in s``. The set membership test has
|
|
|
|
|
traditionally been bound to sequences; an object is a member of a set if the set
|
|
|
|
|
is a sequence and contains an element equal to that object. However, it is
|
|
|
|
|
possible for an object to support membership tests without being a sequence. In
|
|
|
|
|
particular, dictionaries support membership testing as a nicer way of spelling
|
|
|
|
|
``key in dict``; other mapping types may follow suit.
|
|
|
|
|
The operators :keyword:`in` and :keyword:`not in` test for membership. ``x in
|
|
|
|
|
s`` evaluates to true if *x* is a member of *s*, and false otherwise. ``x not
|
|
|
|
|
in s`` returns the negation of ``x in s``. All built-in sequences and set types
|
|
|
|
|
support this as well as dictionary, for which :keyword:`in` tests whether a the
|
|
|
|
|
dictionary has a given key.
|
|
|
|
|
|
|
|
|
|
For the list and tuple types, ``x in y`` is true if and only if there exists an
|
|
|
|
|
index *i* such that ``x == y[i]`` is true.
|
|
|
|
@ -1010,7 +1026,7 @@ y`` is true if and only if ``y.__contains__(x)`` is true.
|
|
|
|
|
For user-defined classes which do not define :meth:`__contains__` and do define
|
|
|
|
|
:meth:`__getitem__`, ``x in y`` is true if and only if there is a non-negative
|
|
|
|
|
integer index *i* such that ``x == y[i]``, and all lower integer indices do not
|
|
|
|
|
raise :exc:`IndexError` exception. (If any other exception is raised, it is as
|
|
|
|
|
raise :exc:`IndexError` exception. (If any other exception is raised, it is as
|
|
|
|
|
if :keyword:`in` raised that exception).
|
|
|
|
|
|
|
|
|
|
.. index::
|
|
|
|
@ -1045,7 +1061,7 @@ Boolean operations have the lowest priority of all Python operations:
|
|
|
|
|
|
|
|
|
|
.. productionlist::
|
|
|
|
|
expression: `conditional_expression` | `lambda_form`
|
|
|
|
|
old_expression: `or_test` | `old_lambda_form`
|
|
|
|
|
expression_nocond: `or_test` | `lambda_form_nocond`
|
|
|
|
|
conditional_expression: `or_test` ["if" `or_test` "else" `expression`]
|
|
|
|
|
or_test: `and_test` | `or_test` "or" `and_test`
|
|
|
|
|
and_test: `not_test` | `and_test` "and" `not_test`
|
|
|
|
@ -1055,7 +1071,8 @@ In the context of Boolean operations, and also when expressions are used by
|
|
|
|
|
control flow statements, the following values are interpreted as false:
|
|
|
|
|
``False``, ``None``, numeric zero of all types, and empty strings and containers
|
|
|
|
|
(including strings, tuples, lists, dictionaries, sets and frozensets). All
|
|
|
|
|
other values are interpreted as true.
|
|
|
|
|
other values are interpreted as true. User-defined objects can customize their
|
|
|
|
|
truth value by providing a :meth:`__bool__` method.
|
|
|
|
|
|
|
|
|
|
.. index:: operator: not
|
|
|
|
|
|
|
|
|
@ -1078,7 +1095,7 @@ returned; otherwise, *y* is evaluated and the resulting value is returned.
|
|
|
|
|
|
|
|
|
|
(Note that neither :keyword:`and` nor :keyword:`or` restrict the value and type
|
|
|
|
|
they return to ``False`` and ``True``, but rather return the last evaluated
|
|
|
|
|
argument. This is sometimes useful, e.g., if ``s`` is a string that should be
|
|
|
|
|
argument. This is sometimes useful, e.g., if ``s`` is a string that should be
|
|
|
|
|
replaced by a default value if it is empty, the expression ``s or 'foo'`` yields
|
|
|
|
|
the desired value. Because :keyword:`not` has to invent a value anyway, it does
|
|
|
|
|
not bother to return a value of the same type as its argument, so e.g., ``not
|
|
|
|
@ -1097,14 +1114,14 @@ Lambdas
|
|
|
|
|
|
|
|
|
|
.. productionlist::
|
|
|
|
|
lambda_form: "lambda" [`parameter_list`]: `expression`
|
|
|
|
|
old_lambda_form: "lambda" [`parameter_list`]: `old_expression`
|
|
|
|
|
lambda_form_nocond: "lambda" [`parameter_list`]: `expression_nocond`
|
|
|
|
|
|
|
|
|
|
Lambda forms (lambda expressions) have the same syntactic position as
|
|
|
|
|
expressions. They are a shorthand to create anonymous functions; the expression
|
|
|
|
|
``lambda arguments: expression`` yields a function object. The unnamed object
|
|
|
|
|
behaves like a function object defined with ::
|
|
|
|
|
|
|
|
|
|
def name(arguments):
|
|
|
|
|
def <lambda>(arguments):
|
|
|
|
|
return expression
|
|
|
|
|
|
|
|
|
|
See section :ref:`function` for the syntax of parameter lists. Note that
|
|
|
|
@ -1145,8 +1162,8 @@ Evaluation order
|
|
|
|
|
|
|
|
|
|
.. index:: pair: evaluation; order
|
|
|
|
|
|
|
|
|
|
Python evaluates expressions from left to right. Notice that while evaluating an
|
|
|
|
|
assignment, the right-hand side is evaluated before the left-hand side.
|
|
|
|
|
Python evaluates expressions from left to right. Notice that while evaluating
|
|
|
|
|
an assignment, the right-hand side is evaluated before the left-hand side.
|
|
|
|
|
|
|
|
|
|
In the following lines, expressions will be evaluated in the arithmetic order of
|
|
|
|
|
their suffixes::
|
|
|
|
@ -1167,7 +1184,7 @@ Summary
|
|
|
|
|
.. index:: pair: operator; precedence
|
|
|
|
|
|
|
|
|
|
The following table summarizes the operator precedences in Python, from lowest
|
|
|
|
|
precedence (least binding) to highest precedence (most binding). Operators in
|
|
|
|
|
precedence (least binding) to highest precedence (most binding). Operators in
|
|
|
|
|
the same box have the same precedence. Unless the syntax is explicitly given,
|
|
|
|
|
operators are binary. Operators in the same box group left to right (except for
|
|
|
|
|
comparisons, including tests, which all have the same precedence and chain from
|
|
|
|
@ -1201,7 +1218,7 @@ groups from right to left).
|
|
|
|
|
+----------------------------------------------+-------------------------------------+
|
|
|
|
|
| ``+``, ``-`` | Addition and subtraction |
|
|
|
|
|
+----------------------------------------------+-------------------------------------+
|
|
|
|
|
| ``*``, ``/``, ``%`` | Multiplication, division, remainder |
|
|
|
|
|
| ``*``, ``/``, ``//``, ``%`` | Multiplication, division, remainder |
|
|
|
|
|
+----------------------------------------------+-------------------------------------+
|
|
|
|
|
| ``+x``, ``-x`` | Positive, negative |
|
|
|
|
|
+----------------------------------------------+-------------------------------------+
|
|
|
|
@ -1217,20 +1234,16 @@ groups from right to left).
|
|
|
|
|
+----------------------------------------------+-------------------------------------+
|
|
|
|
|
| ``f(arguments...)`` | Function call |
|
|
|
|
|
+----------------------------------------------+-------------------------------------+
|
|
|
|
|
| ``(expressions...)`` | Binding or tuple display |
|
|
|
|
|
| ``(expressions...)`` | Binding, tuple display, generator |
|
|
|
|
|
| | expressions |
|
|
|
|
|
+----------------------------------------------+-------------------------------------+
|
|
|
|
|
| ``[expressions...]`` | List display |
|
|
|
|
|
+----------------------------------------------+-------------------------------------+
|
|
|
|
|
| ``{key:datum...}`` | Dictionary display |
|
|
|
|
|
| ``{expressions...}`` | Dictionary or set display |
|
|
|
|
|
+----------------------------------------------+-------------------------------------+
|
|
|
|
|
|
|
|
|
|
.. rubric:: Footnotes
|
|
|
|
|
|
|
|
|
|
.. [#] In Python 2.3, a list comprehension "leaks" the control variables of each
|
|
|
|
|
``for`` it contains into the containing scope. However, this behavior is
|
|
|
|
|
deprecated, and relying on it will not work once this bug is fixed in a future
|
|
|
|
|
release
|
|
|
|
|
|
|
|
|
|
.. [#] While ``abs(x%y) < abs(y)`` is true mathematically, for floats it may not be
|
|
|
|
|
true numerically due to roundoff. For example, and assuming a platform on which
|
|
|
|
|
a Python float is an IEEE 754 double-precision number, in order that ``-1e-100 %
|
|
|
|
@ -1241,22 +1254,21 @@ groups from right to left).
|
|
|
|
|
is more appropriate depends on the application.
|
|
|
|
|
|
|
|
|
|
.. [#] If x is very close to an exact integer multiple of y, it's possible for
|
|
|
|
|
``floor(x/y)`` to be one larger than ``(x-x%y)/y`` due to rounding. In such
|
|
|
|
|
``x//y`` to be one larger than ``(x-x%y)//y`` due to rounding. In such
|
|
|
|
|
cases, Python returns the latter result, in order to preserve that
|
|
|
|
|
``divmod(x,y)[0] * y + x % y`` be very close to ``x``.
|
|
|
|
|
|
|
|
|
|
.. [#] While comparisons between strings make sense at the byte
|
|
|
|
|
level, they may be counter-intuitive to users. For example, the
|
|
|
|
|
strings ``"\u00C7"`` and ``"\u0327\u0043"`` compare differently,
|
|
|
|
|
even though they both represent the same unicode character (LATIN
|
|
|
|
|
CAPTITAL LETTER C WITH CEDILLA).
|
|
|
|
|
.. [#] While comparisons between strings make sense at the byte level, they may
|
|
|
|
|
be counter-intuitive to users. For example, the strings ``"\u00C7"`` and
|
|
|
|
|
``"\u0327\u0043"`` compare differently, even though they both represent the
|
|
|
|
|
same unicode character (LATIN CAPTITAL LETTER C WITH CEDILLA).
|
|
|
|
|
|
|
|
|
|
.. [#] The implementation computes this efficiently, without constructing lists or
|
|
|
|
|
sorting.
|
|
|
|
|
.. [#] The implementation computes this efficiently, without constructing lists
|
|
|
|
|
or sorting.
|
|
|
|
|
|
|
|
|
|
.. [#] Earlier versions of Python used lexicographic comparison of the sorted (key,
|
|
|
|
|
value) lists, but this was very expensive for the common case of comparing for
|
|
|
|
|
equality. An even earlier version of Python compared dictionaries by identity
|
|
|
|
|
only, but this caused surprises because people expected to be able to test a
|
|
|
|
|
dictionary for emptiness by comparing it to ``{}``.
|
|
|
|
|
value) lists, but this was very expensive for the common case of comparing
|
|
|
|
|
for equality. An even earlier version of Python compared dictionaries by
|
|
|
|
|
identity only, but this caused surprises because people expected to be able
|
|
|
|
|
to test a dictionary for emptiness by comparing it to ``{}``.
|
|
|
|
|
|
|
|
|
|