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[/
Copyright (c) 2008-2010 Joachim Faulhaber
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
http://www.boost.org/LICENSE_1_0.txt)
]
[/ //= Symmetric Difference ===================================================]
[section Symmetric Difference]
[section Synopsis][/ Symmetric difference]
[table
[[Symmetric difference] [__ch_itv_sets__][__ch_itv_maps__][__ch_ele_sets__][__ch_ele_maps__] ]
[[`T& T::flip(const P&)`] [__ei] [__bp] [ ] [__b] ]
[[`T& flip(T&, const P&)`] [__ei] [__bp] [__e] [__b] ]
[[`T& operator ^=(T&, const P&)`] [__eiS] [__bpM] [__es] [__bm] ]
[[`T operator ^ (T, const P&)`\n
`T operator ^ (const P&, T)`] [__eiS] [__bpM] [__es] [__bm] ]
]
Functions and operators that implement ['*symmetric difference*] on *icl* objects
are given in the table above.
[table
[[] [Description of symmetric difference]]
[[`Sets`][`operator ^` implements ['*set symmetric difference*]]]
[[`Maps`][`operator ^` implements a ['*map symmetric difference*]
function similar to /set symmetric difference/.
All pairs that are common to both arguments are removed. All others unified.
]]
]
[endsect][/ Synopsis Symmetric difference]
[section Functions][/ Symmetric difference]
/Symmetric difference/ is implemented on interval containers
by the function `T& flip(T&, const P& operand)`.
``
flip(y,x)
``
deletes every element of `y`,
if it is contained in `x`. Elements of
`x` not contained in `y` are added.
For icl containers flip is also availabel as memeber function
`T& T::flip(const P& operand)`.
[/ paratract, surtract, symetract, topple, symmetric_subtract]
The admissible combinations of types for member function
`T& T::flip(const P&)` can be summarized in the
['*overload table*] below:
``
/* overload table for */ T\P| e i b p
T& T::flip(const P&) ---+--------
T& flip(T&, const P&) s | s
m | m
S | S S
M | M M
``
The next table contains complexity characteristics for functions `flip`.
[table Time Complexity for member functions flip on icl containers
[[`T& T::flip(const P&)`\n
`T& flip(T&, const P&)`] [__ch_dom_t__][__ch_itv_t__][__ch_dom_mp_t__][__ch_itv_mp_t__]]
[[__icl_set__] [__Olgn__] [] [] [] ]
[[__icl_map__] [] [] [__Olgn__][] ]
[[__itv_set__\n__sep_itv_set__][__Olgn__] [__On__] [] [] ]
[[__spl_itv_set__] [__Olgn__] [__On__] [] [] ]
[[__itv_map__\n__spl_itv_map__][] [] [__Olgn__][__On__] ]
]
[endsect][/ Member functions Symmetric difference]
[section Inplace operators][/ Symmetric Difference]
The overload tables below are giving admissible
type combinations for `operator ^=`
that implements ['*symmetric difference*].
``
// overload tables for element containers: interval containers:
T& operator ^= (T&, const P&) ^= | e b s m ^= | e i b p S M
---+-------- ---+------------
s | s s S | S S S
m | m m M | M M M
``
Complexity characteristics for inplace operators
that implement ['*symmetric difference*]
are given by the next tables where
``
n = iterative_size(y);
m = iterative_size(x); //if P is a container
``
[table Time Complexity for inplace symmetric difference on element containers
[[`T& operator &= (T& y, const P& x)`][__ch_dom_t__][__ch_dom_mp_t__][__ch_icl_set__][__ch_icl_map__]]
[[__icl_set__] [__Olgn__] [] [__Omlgn__] [] ]
[[__icl_map__] [__Olgn__] [__Olgn__] [__Omlgn__] [__Omlgn__] ]
]
[table Time Complexity for inplace symmetric difference on interval containers
[[`T& operator &= (T&, const P&)`][__ch_dom_t__][__ch_itv_t__][__ch_dom_mp_t__][__ch_itv_mp_t__][__ch_itv_sets__][__ch_itv_maps__]]
[[interval_sets] [__Olgn__] [__On__] [] [] [__Omlgnpm__] [] ]
[[interval_maps] [__Olgn__] [__On__] [__Olgn__] [__On__] [__Omlgnpm__] [__Omlgnpm__] ]
]
[endsect][/ Inplace operators Symmetric Difference]
[section Infix operators][/ Symmetric Difference]
For the infix version of symmetric difference the
following overloads are available:
``
// overload tables for element containers: interval containers:
T operator ^ (T, const P&) ^ | e b s m ^ | e i b p S1 S2 S3 M1 M3
T operator ^ (const P&, T) ---+-------- ---+---------------------------
e | s e | S1 S2 S3
b | m i | S1 S2 S3
s | s s b | M1 M3
m | m m p | M1 M3
S1 | S1 S1 S1 S2 S3
S2 | S2 S2 S2 S2 S3
S3 | S3 S3 S3 S3 S3
M1 | M1 M1 M1 M3
M3 | M3 M3 M3 M3
``
To resolve ambiguities among interval containers
the ['*finer*] container type is chosen as result type.
[endsect][/ Infix operators Symmetric Difference]
['*See also . . .*]
[table
[]
[[[link boost_icl.function_reference.intersection ['*Intersection*]] ]]
[[[link boost_icl.function_reference.subtraction ['*Subtraction*]] ]]
[[[link boost_icl.function_reference.addition ['*Addition*]] ]]
]
['*Back to section . . .*]
[table
[]
[[[link function_synopsis_table ['*Function Synopsis*]] ]]
[[[link boost_icl.interface ['*Interface*]] ]]
]
[endsect][/ Symmetric Difference]
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