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			62 lines
		
	
	
		
			4.7 KiB
		
	
	
	
		
			ReStructuredText
		
	
	
	
	
	
| .. Copyright David Abrahams 2006. Distributed under the Boost
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| .. Software License, Version 1.0. (See accompanying
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| .. file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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| 
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| Interoperable Iterator Concept
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| ..............................
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| 
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| A class or built-in type ``X`` that models Single Pass Iterator is
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| *interoperable with* a class or built-in type ``Y`` that also models
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| Single Pass Iterator if the following expressions are valid and
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| respect the stated semantics. In the tables below, ``x`` is an object
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| of type ``X``, ``y`` is an object of type ``Y``, ``Distance`` is
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| ``iterator_traits<Y>::difference_type``, and ``n`` represents a
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| constant object of type ``Distance``.
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| 
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| +-----------+-----------------------+---------------------------------------------------+
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| |Expression |Return Type            |Assertion/Precondition/Postcondition               |
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| +===========+=======================+===================================================+
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| |``y = x``  |``Y``                  |post: ``y == x``                                   |
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| +-----------+-----------------------+---------------------------------------------------+
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| |``Y(x)``   |``Y``                  |post: ``Y(x) == x``                                |
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| +-----------+-----------------------+---------------------------------------------------+
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| |``x == y`` |convertible to ``bool``|``==`` is an equivalence relation over its domain. |
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| +-----------+-----------------------+---------------------------------------------------+
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| |``y == x`` |convertible to ``bool``|``==`` is an equivalence relation over its domain. |
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| +-----------+-----------------------+---------------------------------------------------+
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| |``x != y`` |convertible to ``bool``|``bool(a==b) != bool(a!=b)`` over its domain.      |
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| +-----------+-----------------------+---------------------------------------------------+
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| |``y != x`` |convertible to ``bool``|``bool(a==b) != bool(a!=b)`` over its domain.      |
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| +-----------+-----------------------+---------------------------------------------------+
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| 
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| If ``X`` and ``Y`` both model Random Access Traversal Iterator then
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| the following additional requirements must be met.
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| 
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| +-----------+-----------------------+---------------------+--------------------------------------+
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| |Expression |Return Type            |Operational Semantics|Assertion/ Precondition               |
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| +===========+=======================+=====================+======================================+
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| |``x < y``  |convertible to ``bool``|``y - x > 0``        |``<`` is a total ordering relation    |
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| +-----------+-----------------------+---------------------+--------------------------------------+
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| |``y < x``  |convertible to ``bool``|``x - y > 0``        |``<`` is a total ordering relation    |
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| +-----------+-----------------------+---------------------+--------------------------------------+
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| |``x > y``  |convertible to ``bool``|``y < x``            |``>`` is a total ordering relation    |
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| +-----------+-----------------------+---------------------+--------------------------------------+
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| |``y > x``  |convertible to ``bool``|``x < y``            |``>`` is a total ordering relation    |
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| +-----------+-----------------------+---------------------+--------------------------------------+
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| |``x >= y`` |convertible to ``bool``|``!(x < y)``         |                                      |
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| +-----------+-----------------------+---------------------+--------------------------------------+
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| |``y >= x`` |convertible to ``bool``|``!(y < x)``         |                                      |
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| +-----------+-----------------------+---------------------+--------------------------------------+
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| |``x <= y`` |convertible to ``bool``|``!(x > y)``         |                                      |
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| +-----------+-----------------------+---------------------+--------------------------------------+
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| |``y <= x`` |convertible to ``bool``|``!(y > x)``         |                                      |
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| +-----------+-----------------------+---------------------+--------------------------------------+
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| |``y - x``  |``Distance``           |``distance(Y(x),y)`` |pre: there exists a value ``n`` of    |
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| |           |                       |                     |``Distance`` such that ``x + n == y``.|
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| |           |                       |                     |``y == x + (y - x)``.                 |
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| +-----------+-----------------------+---------------------+--------------------------------------+ 
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| |``x - y``  |``Distance``           |``distance(y,Y(x))`` |pre: there exists a value ``n`` of    |
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| |           |                       |                     |``Distance`` such that ``y + n == x``.|
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| |           |                       |                     |``x == y + (x - y)``.                 |
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| +-----------+-----------------------+---------------------+--------------------------------------+
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