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<html><!-- Created using the cpp_pretty_printer from the dlib C++ library.  See http://dlib.net for updates. --><head><title>dlib C++ Library - disjoint_subsets_abstract.h</title></head><body bgcolor='white'><pre>
<font color='#009900'>// Copyright (C) 2011  Davis E. King (davis@dlib.net)
</font><font color='#009900'>// License: Boost Software License   See LICENSE.txt for the full license.
</font><font color='#0000FF'>#undef</font> DLIB_DISJOINT_SUBsETS_ABSTRACT_Hh_
<font color='#0000FF'>#ifdef</font> DLIB_DISJOINT_SUBsETS_ABSTRACT_Hh_

<font color='#0000FF'>#include</font> <font color='#5555FF'>&lt;</font>vector<font color='#5555FF'>&gt;</font>
<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='../algs.h.html'>../algs.h</a>"

<font color='#0000FF'>namespace</font> dlib
<b>{</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>class</font> <b><a name='disjoint_subsets'></a>disjoint_subsets</b>
    <b>{</b>
        <font color='#009900'>/*!
            INITIAL VALUE
                - size() == 0

            WHAT THIS OBJECT REPRESENTS
                This object represents a set of integers which is partitioned into
                a number of disjoint subsets.  It supports the two fundamental operations
                of finding which subset a particular integer belongs to as well as
                merging subsets.
        !*/</font>
    <font color='#0000FF'>public</font>:

        <font color='#0000FF'><u>void</u></font> <b><a name='clear'></a>clear</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> noexcept;
        <font color='#009900'>/*!
            ensures
                - #size() == 0
                - returns this object to its initial value
        !*/</font>

        <font color='#0000FF'><u>void</u></font> <b><a name='set_size'></a>set_size</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> new_size
        <font face='Lucida Console'>)</font>;
        <font color='#009900'>/*!
            ensures
                - #size() == new_size
                - for all valid i:
                    - #find_set(i) == i
                      (i.e. this object contains new_size subsets, each containing exactly one element)
        !*/</font>

        <font color='#0000FF'><u>size_t</u></font> <b><a name='size'></a>size</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> noexcept;
        <font color='#009900'>/*!
            ensures
                - returns the total number of integer elements represented
                  by this object.
        !*/</font>

        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> <b><a name='find_set'></a>find_set</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> item
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
        <font color='#009900'>/*!
            requires
                - item &lt; size()
            ensures
                - Each disjoint subset can be represented by any of its elements (since
                  the sets are all disjoint).  In particular, for each subset we define
                  a special "representative element" which is used to represent it.
                  Therefore, this function returns the representative element for the
                  set which contains item.
                - find_set(find_set(item)) == find_set(item)
                - Note that if A and B are both elements of the same subset then we always
                  have find_set(A) == find_set(B).
        !*/</font>

        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> <b><a name='merge_sets'></a>merge_sets</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> a,
            <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> b
        <font face='Lucida Console'>)</font>;
        <font color='#009900'>/*!
            requires
                - a != b
                - a &lt; size()
                - b &lt; size()
                - find_set(a) == a
                  (i.e. a is the representative element of some set)
                - find_set(b) == b
                  (i.e. b is the representative element of some set)
            ensures
                - #find_set(a) == #find_set(b)
                  (i.e. merges the set's containing a and b)
                - returns #find_set(a)
        !*/</font>
    <b>}</b>;

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
<b>}</b>

<font color='#0000FF'>#endif</font> <font color='#009900'>// DLIB_DISJOINT_SUBsETS_ABSTRACT_Hh_
</font>
</pre></body></html>