#1219: py3k cleanup in standard types docs.
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@ -10,13 +10,6 @@ Built-in Types
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The following sections describe the standard types that are built into the
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interpreter.
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.. note::
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Historically (until release 2.2), Python's built-in types have differed from
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user-defined types because it was not possible to use the built-in types as the
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basis for object-oriented inheritance. This limitation no longer
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exists.
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.. index:: pair: built-in; types
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The principal built-in types are numerics, sequences, mappings, files, classes,
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@ -129,8 +122,8 @@ Comparisons
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.. index:: pair: chaining; comparisons
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Comparison operations are supported by all objects. They all have the same
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priority (which is higher than that of the Boolean operations). Comparisons can
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There are eight comparison operations in Python. They all have the same
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priority (which is higher than that of the Boolean operations). Comparisons can
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be chained arbitrarily; for example, ``x < y <= z`` is equivalent to ``x < y and
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y <= z``, except that *y* is evaluated only once (but in both cases *z* is not
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evaluated at all when ``x < y`` is found to be false).
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@ -172,24 +165,35 @@ This table summarizes the comparison operations:
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pair: object; numeric
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pair: objects; comparing
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Objects of different types, except different numeric types and different string
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types, never compare equal; such objects are ordered consistently but
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arbitrarily (so that sorting a heterogeneous array yields a consistent result).
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Objects of different types, except different numeric types, never compare equal.
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Furthermore, some types (for example, file objects) support only a degenerate
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notion of comparison where any two objects of that type are unequal. Again,
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such objects are ordered arbitrarily but consistently. The ``<``, ``<=``, ``>``
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and ``>=`` operators will raise a :exc:`TypeError` exception when any operand is
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a complex number.
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notion of comparison where any two objects of that type are unequal. The ``<``,
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``<=``, ``>`` and ``>=`` operators will raise a :exc:`TypeError` exception when
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any operand is a complex number, the objects are of different types that cannot
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be compared, or other cases where there is no defined ordering.
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.. index:: single: __cmp__() (instance method)
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.. index::
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single: __cmp__() (instance method)
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single: __eq__() (instance method)
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single: __ne__() (instance method)
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single: __lt__() (instance method)
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single: __le__() (instance method)
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single: __gt__() (instance method)
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single: __ge__() (instance method)
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Instances of a class normally compare as non-equal unless the class defines the
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:meth:`__cmp__` method. Refer to :ref:`customization`) for information on the
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use of this method to effect object comparisons.
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:meth:`__eq__` or :meth:`__cmp__` method.
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**Implementation note:** Objects of different types except numbers are ordered
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by their type names; objects of the same types that don't support proper
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comparison are ordered by their address.
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Instances of a class cannot be ordered with respect to other instances of the
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same class, or other types of object, unless the class defines enough of the
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methods :meth:`__cmp__`, :meth:`__lt__`, :meth:`__le__`, :meth:`__gt__`, and
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:meth:`__ge__` (in general, either :meth:`__cmp__` or both :meth:`__lt__` and
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:meth:`__eq__` are sufficient, if you want the conventional meanings of the
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comparison operators).
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The behavior of the :keyword:`is` and :keyword:`is not` operators cannot be
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customized; also they can be applied to any two objects and never raise an
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exception.
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.. index::
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operator: in
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@ -201,27 +205,22 @@ supported only by sequence types (below).
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.. _typesnumeric:
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Numeric Types --- :class:`int`, :class:`float`, :class:`long`, :class:`complex`
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===============================================================================
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Numeric Types --- :class:`int`, :class:`float`, :class:`complex`
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================================================================
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.. index::
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object: numeric
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object: Boolean
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object: integer
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object: long integer
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object: floating point
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object: complex number
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pair: C; language
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There are four distinct numeric types: :dfn:`plain integers`, :dfn:`long
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integers`, :dfn:`floating point numbers`, and :dfn:`complex numbers`. In
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addition, Booleans are a subtype of plain integers. Plain integers (also just
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called :dfn:`integers`) are implemented using :ctype:`long` in C, which gives
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them at least 32 bits of precision (``sys.maxint`` is always set to the maximum
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plain integer value for the current platform, the minimum value is
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``-sys.maxint - 1``). Long integers have unlimited precision. Floating point
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numbers are implemented using :ctype:`double` in C. All bets on their precision
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are off unless you happen to know the machine you are working with.
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There are three distinct numeric types: :dfn:`integers`, :dfn:`floating point
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numbers`, and :dfn:`complex numbers`. In addition, Booleans are a subtype of
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plain integers. Integers have unlimited precision. loating point numbers are
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implemented using :ctype:`double` in C. All bets on their precision are off
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unless you happen to know the machine you are working with.
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Complex numbers have a real and imaginary part, which are each implemented using
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:ctype:`double` in C. To extract these parts from a complex number *z*, use
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@ -230,21 +229,19 @@ Complex numbers have a real and imaginary part, which are each implemented using
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.. index::
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pair: numeric; literals
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pair: integer; literals
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triple: long; integer; literals
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pair: floating point; literals
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pair: complex number; literals
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pair: hexadecimal; literals
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pair: octal; literals
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pair: binary: literals
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Numbers are created by numeric literals or as the result of built-in functions
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and operators. Unadorned integer literals (including hex and octal numbers)
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yield plain integers unless the value they denote is too large to be represented
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as a plain integer, in which case they yield a long integer. Integer literals
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with an ``'L'`` or ``'l'`` suffix yield long integers (``'L'`` is preferred
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because ``1l`` looks too much like eleven!). Numeric literals containing a
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decimal point or an exponent sign yield floating point numbers. Appending
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``'j'`` or ``'J'`` to a numeric literal yields a complex number with a zero real
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part. A complex numeric literal is the sum of a real and an imaginary part.
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and operators. Unadorned integer literals (including hex, octal and binary
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numbers) yield integers. Numeric literals containing a decimal point or an
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exponent sign yield floating point numbers. Appending ``'j'`` or ``'J'`` to a
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numeric literal yields an imaginary number (a complex number with a zero real
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part) which you can add to an integer or float to get a complex number with real
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and imaginary parts.
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.. index::
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single: arithmetic
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@ -255,58 +252,55 @@ part. A complex numeric literal is the sum of a real and an imaginary part.
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Python fully supports mixed arithmetic: when a binary arithmetic operator has
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operands of different numeric types, the operand with the "narrower" type is
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widened to that of the other, where plain integer is narrower than long integer
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is narrower than floating point is narrower than complex. Comparisons between
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numbers of mixed type use the same rule. [#]_ The constructors :func:`int`,
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:func:`long`, :func:`float`, and :func:`complex` can be used to produce numbers
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of a specific type.
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widened to that of the other, where integer is narrower than floating point,
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which is narrower than complex. Comparisons between numbers of mixed type use
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the same rule. [#]_ The constructors :func:`int`, :func:`float`, and
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:func:`complex` can be used to produce numbers of a specific type.
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All numeric types (except complex) support the following operations, sorted by
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ascending priority (operations in the same box have the same priority; all
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numeric operations have a higher priority than comparison operations):
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+--------------------+---------------------------------+--------+
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| Operation | Result | Notes |
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+====================+=================================+========+
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| ``x + y`` | sum of *x* and *y* | |
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+--------------------+---------------------------------+--------+
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| ``x - y`` | difference of *x* and *y* | |
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+--------------------+---------------------------------+--------+
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| ``x * y`` | product of *x* and *y* | |
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+--------------------+---------------------------------+--------+
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| ``x / y`` | quotient of *x* and *y* | \(1) |
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+--------------------+---------------------------------+--------+
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| ``x // y`` | (floored) quotient of *x* and | \(5) |
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| | *y* | |
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+--------------------+---------------------------------+--------+
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| ``x % y`` | remainder of ``x / y`` | \(4) |
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+--------------------+---------------------------------+--------+
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| ``-x`` | *x* negated | |
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+--------------------+---------------------------------+--------+
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| ``+x`` | *x* unchanged | |
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+--------------------+---------------------------------+--------+
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| ``abs(x)`` | absolute value or magnitude of | |
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| | *x* | |
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+--------------------+---------------------------------+--------+
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| ``int(x)`` | *x* converted to integer | \(2) |
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+--------------------+---------------------------------+--------+
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| ``long(x)`` | *x* converted to long integer | \(2) |
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+--------------------+---------------------------------+--------+
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| ``float(x)`` | *x* converted to floating point | |
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+--------------------+---------------------------------+--------+
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| ``complex(re,im)`` | a complex number with real part | |
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| | *re*, imaginary part *im*. | |
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| | *im* defaults to zero. | |
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+--------------------+---------------------------------+--------+
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| ``c.conjugate()`` | conjugate of the complex number | |
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| | *c* | |
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+--------------------+---------------------------------+--------+
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| ``divmod(x, y)`` | the pair ``(x // y, x % y)`` | (3)(4) |
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+--------------------+---------------------------------+--------+
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| ``pow(x, y)`` | *x* to the power *y* | |
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+--------------------+---------------------------------+--------+
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| ``x ** y`` | *x* to the power *y* | |
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+--------------------+---------------------------------+--------+
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+---------------------+---------------------------------+-------+--------------------+
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| Operation | Result | Notes | Full documentation |
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+==================== +=================================+=======+====================|
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| ``x + y`` | sum of *x* and *y* | | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``x - y`` | difference of *x* and *y* | | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``x * y`` | product of *x* and *y* | | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``x / y`` | quotient of *x* and *y* | | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``x // y`` | floored quotient of *x* and | \(1) | |
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| | *y* | | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``x % y`` | remainder of ``x / y`` | \(2) | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``-x`` | *x* negated | | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``+x`` | *x* unchanged | | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``abs(x)`` | absolute value or magnitude of | | :func:`abs` |
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| | *x* | | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``int(x)`` | *x* converted to integer | \(3) | :func:`int` |
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+---------------------+---------------------------------+-------+--------------------+
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| ``float(x)`` | *x* converted to floating point | | :func:`float` |
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+---------------------+---------------------------------+-------+--------------------+
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| ``complex(re, im)`` | a complex number with real part | | :func:`complex` |
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| | *re*, imaginary part *im*. | | |
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| | *im* defaults to zero. | | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``c.conjugate()`` | conjugate of the complex number | | |
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| | *c* | | |
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+---------------------+---------------------------------+-------+--------------------+
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| ``divmod(x, y)`` | the pair ``(x // y, x % y)`` | \(2) | :func:`divmod` |
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+---------------------+---------------------------------+-------+--------------------+
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| ``pow(x, y)`` | *x* to the power *y* | | :func:`pow` |
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+---------------------+---------------------------------+-------+--------------------+
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| ``x ** y`` | *x* to the power *y* | | |
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+---------------------+---------------------------------+-------+--------------------+
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.. index::
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triple: operations on; numeric; types
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@ -315,16 +309,16 @@ numeric operations have a higher priority than comparison operations):
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Notes:
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(1)
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.. index::
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pair: integer; division
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triple: long; integer; division
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For (plain or long) integer division, the result is an integer. The result is
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always rounded towards minus infinity: 1/2 is 0, (-1)/2 is -1, 1/(-2) is -1, and
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(-1)/(-2) is 0. Note that the result is a long integer if either operand is a
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long integer, regardless of the numeric value.
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Also referred to as integer division. The resultant value is a whole
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integer, though the result's type is not necessarily int. The result is
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always rounded towards minus infinity: ``1//2`` is ``0``, ``(-1)//2`` is
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``-1``, ``1//(-2)`` is ``-1``, and ``(-1)//(-2)`` is ``0``.
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(2)
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Not for complex numbers. Instead convert to floats using :func:`abs` if
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appropriate.
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(3)
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.. index::
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module: math
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single: floor() (in module math)
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@ -336,19 +330,6 @@ Notes:
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as in C; see functions :func:`floor` and :func:`ceil` in the :mod:`math` module
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for well-defined conversions.
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(3)
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See :ref:`built-in-funcs` for a full description.
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(4)
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Complex floor division operator, modulo operator, and :func:`divmod`.
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.. deprecated:: 2.3
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Instead convert to float using :func:`abs` if appropriate.
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(5)
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Also referred to as integer division. The resultant value is a whole integer,
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though the result's type is not necessarily int.
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.. % XXXJH exceptions: overflow (when? what operations?) zerodivision
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@ -359,10 +340,9 @@ Bit-string Operations on Integer Types
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.. _bit-string-operations:
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Plain and long integer types support additional operations that make sense only
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for bit-strings. Negative numbers are treated as their 2's complement value
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(for long integers, this assumes a sufficiently large number of bits that no
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overflow occurs during the operation).
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Integers support additional operations that make sense only for bit-strings.
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Negative numbers are treated as their 2's complement value (this assumes a
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sufficiently large number of bits that no overflow occurs during the operation).
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The priorities of the binary bit-wise operations are all lower than the numeric
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operations and higher than the comparisons; the unary operation ``~`` has the
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@ -453,7 +433,7 @@ methods, which together form the :dfn:`iterator protocol`:
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Python objects in the Python/C API.
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.. method:: iterator.next()
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.. method:: iterator.__next__()
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Return the next item from the container. If there are no further items, raise
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the :exc:`StopIteration` exception. This method corresponds to the
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@ -465,11 +445,9 @@ specific sequence types, dictionaries, and other more specialized forms. The
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specific types are not important beyond their implementation of the iterator
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protocol.
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The intention of the protocol is that once an iterator's :meth:`__next__` method
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raises :exc:`StopIteration`, it will continue to do so on subsequent calls.
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Implementations that do not obey this property are deemed broken. (This
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constraint was added in Python 2.3; in Python 2.2, various iterators are broken
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according to this rule.)
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Once an iterator's :meth:`__next__` method raises :exc:`StopIteration`, it must
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continue to do so on subsequent calls. Implementations that do not obey this
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property are deemed broken.
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Python's generators provide a convenient way to implement the iterator protocol.
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If a container object's :meth:`__iter__` method is implemented as a generator,
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@ -1140,13 +1118,9 @@ Notes:
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decimal point and defaults to 6.
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(5)
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The ``%r`` conversion was added in Python 2.0.
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The precision determines the maximal number of characters used.
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The precision determines the maximal number of characters used.
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Since Python strings have an explicit length, ``%s`` conversions do not assume
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that ``'\0'`` is the end of the string.
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@ -1164,8 +1138,8 @@ Additional string operations are defined in standard modules :mod:`string` and
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.. _typesseq-range:
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XRange Type
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-----------
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Range Type
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----------
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.. index:: object: range
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@ -1174,7 +1148,7 @@ looping. The advantage of the :class:`range` type is that an :class:`range`
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object will always take the same amount of memory, no matter the size of the
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range it represents. There are no consistent performance advantages.
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XRange objects have very little behavior: they only support indexing, iteration,
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Range objects have very little behavior: they only support indexing, iteration,
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and the :func:`len` function.
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