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  <h1>Source code for pyFTS.partitioners.partitioner</h1><div class="highlight"><pre>
<span></span><span class="kn">from</span> <span class="nn">pyFTS.common</span> <span class="k">import</span> <span class="n">FuzzySet</span><span class="p">,</span> <span class="n">Membership</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">from</span> <span class="nn">scipy.spatial</span> <span class="k">import</span> <span class="n">KDTree</span>
<span class="kn">import</span> <span class="nn">matplotlib.pylab</span> <span class="k">as</span> <span class="nn">plt</span>


<div class="viewcode-block" id="Partitioner"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner">[docs]</a><span class="k">class</span> <span class="nc">Partitioner</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Universe of Discourse partitioner. Split data on several fuzzy sets</span>
<span class="sd">    &quot;&quot;&quot;</span>

    <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Universe of Discourse partitioner scheme. Split data on several fuzzy sets</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">name</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;name&#39;</span><span class="p">,</span><span class="s2">&quot;&quot;</span><span class="p">)</span>
        <span class="sd">&quot;&quot;&quot;partitioner name&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">partitions</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;npart&#39;</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span>
        <span class="sd">&quot;&quot;&quot;The number of universe of discourse partitions, i.e., the number of fuzzy sets that will be created&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">sets</span> <span class="o">=</span> <span class="p">{}</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">membership_function</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;func&#39;</span><span class="p">,</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trimf</span><span class="p">)</span>
        <span class="sd">&quot;&quot;&quot;Fuzzy membership function (pyFTS.common.Membership)&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">setnames</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;names&#39;</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
        <span class="sd">&quot;&quot;&quot;list of partitions names. If None is given the partitions will be auto named with prefix&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">prefix</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;prefix&#39;</span><span class="p">,</span> <span class="s1">&#39;A&#39;</span><span class="p">)</span>
        <span class="sd">&quot;&quot;&quot;prefix of auto generated partition names&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">transformation</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;transformation&#39;</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
        <span class="sd">&quot;&quot;&quot;data transformation to be applied on data&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">indexer</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;indexer&#39;</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">variable</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;variable&#39;</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
        <span class="sd">&quot;&quot;&quot;In a multivariate context, the variable that contains this partitioner&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">type</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;type&#39;</span><span class="p">,</span> <span class="s1">&#39;common&#39;</span><span class="p">)</span>
        <span class="sd">&quot;&quot;&quot;The type of fuzzy sets that are generated by this partitioner&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">extractor</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;extractor&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="p">)</span>
        <span class="sd">&quot;&quot;&quot;Anonymous function used to extract a single primitive type from an object instance&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span> <span class="o">=</span> <span class="kc">None</span>
        <span class="sd">&quot;&quot;&quot;A ordered list of the fuzzy sets names, sorted by their middle point&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">kdtree</span> <span class="o">=</span> <span class="kc">None</span>
        <span class="sd">&quot;&quot;&quot;A spatial index to help in fuzzyfication&quot;&quot;&quot;</span>

        <span class="k">if</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;preprocess&#39;</span><span class="p">,</span><span class="kc">True</span><span class="p">):</span>

            <span class="n">data</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;data&#39;</span><span class="p">,[</span><span class="kc">None</span><span class="p">])</span>

            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">indexer</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
                <span class="n">ndata</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">indexer</span><span class="o">.</span><span class="n">get_data</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
            <span class="k">else</span><span class="p">:</span>
                <span class="n">ndata</span> <span class="o">=</span> <span class="n">data</span>

            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">transformation</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
                <span class="n">ndata</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">transformation</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="n">ndata</span><span class="p">)</span>
            <span class="k">else</span><span class="p">:</span>
                <span class="n">ndata</span> <span class="o">=</span> <span class="n">data</span>

            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">indexer</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
                <span class="n">ndata</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">indexer</span><span class="o">.</span><span class="n">get_data</span><span class="p">(</span><span class="n">ndata</span><span class="p">)</span>

            <span class="n">_min</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">nanmin</span><span class="p">(</span><span class="n">ndata</span><span class="p">)</span>
            <span class="k">if</span> <span class="n">_min</span> <span class="o">==</span> <span class="o">-</span><span class="n">np</span><span class="o">.</span><span class="n">inf</span><span class="p">:</span>
                <span class="n">ndata</span><span class="p">[</span><span class="n">ndata</span> <span class="o">==</span> <span class="o">-</span><span class="n">np</span><span class="o">.</span><span class="n">inf</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
                <span class="n">_min</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">nanmin</span><span class="p">(</span><span class="n">ndata</span><span class="p">)</span>

            <span class="bp">self</span><span class="o">.</span><span class="n">min</span> <span class="o">=</span> <span class="nb">float</span><span class="p">(</span><span class="n">_min</span> <span class="o">*</span> <span class="mf">1.1</span> <span class="k">if</span> <span class="n">_min</span> <span class="o">&lt;</span> <span class="mi">0</span> <span class="k">else</span> <span class="n">_min</span> <span class="o">*</span> <span class="mf">0.9</span><span class="p">)</span>

            <span class="n">_max</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">nanmax</span><span class="p">(</span><span class="n">ndata</span><span class="p">)</span>
            <span class="bp">self</span><span class="o">.</span><span class="n">max</span> <span class="o">=</span> <span class="nb">float</span><span class="p">(</span><span class="n">_max</span> <span class="o">*</span> <span class="mf">1.1</span> <span class="k">if</span> <span class="n">_max</span> <span class="o">&gt;</span> <span class="mi">0</span> <span class="k">else</span> <span class="n">_max</span> <span class="o">*</span> <span class="mf">0.9</span><span class="p">)</span>

            <span class="bp">self</span><span class="o">.</span><span class="n">sets</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">build</span><span class="p">(</span><span class="n">ndata</span><span class="p">)</span>

            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span> <span class="ow">is</span> <span class="kc">None</span> <span class="ow">and</span> <span class="bp">self</span><span class="o">.</span><span class="n">setnames</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
                <span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">setnames</span><span class="p">[:</span><span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">)]</span>
            <span class="k">else</span><span class="p">:</span>
                <span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span> <span class="o">=</span> <span class="n">FuzzySet</span><span class="o">.</span><span class="n">set_ordered</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">)</span>

            <span class="k">del</span><span class="p">(</span><span class="n">ndata</span><span class="p">)</span>

<div class="viewcode-block" id="Partitioner.build"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner.build">[docs]</a>    <span class="k">def</span> <span class="nf">build</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">data</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Perform the partitioning of the Universe of Discourse</span>

<span class="sd">        :param data:  training data</span>
<span class="sd">        :return: </span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">pass</span></div>

<div class="viewcode-block" id="Partitioner.get_name"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner.get_name">[docs]</a>    <span class="k">def</span> <span class="nf">get_name</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">counter</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Find the name of the fuzzy set given its counter id.</span>

<span class="sd">        :param counter: The number of the fuzzy set</span>
<span class="sd">        :return: String</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">prefix</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">counter</span><span class="p">)</span> <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">setnames</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">else</span> <span class="bp">self</span><span class="o">.</span><span class="n">setnames</span><span class="p">[</span><span class="n">counter</span><span class="p">]</span></div>

<div class="viewcode-block" id="Partitioner.lower_set"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner.lower_set">[docs]</a>    <span class="k">def</span> <span class="nf">lower_set</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Return the fuzzy set on lower bound of the universe of discourse.</span>

<span class="sd">        :return: Fuzzy Set</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span></div>

<div class="viewcode-block" id="Partitioner.upper_set"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner.upper_set">[docs]</a>    <span class="k">def</span> <span class="nf">upper_set</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Return the fuzzy set on upper bound of the universe of discourse.</span>

<span class="sd">        :return: Fuzzy Set</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]]</span></div>

<div class="viewcode-block" id="Partitioner.build_index"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner.build_index">[docs]</a>    <span class="k">def</span> <span class="nf">build_index</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="n">points</span> <span class="o">=</span> <span class="p">[]</span>

        <span class="c1">#self.index = {}</span>

        <span class="k">for</span> <span class="n">ct</span><span class="p">,</span> <span class="n">key</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">):</span>
            <span class="n">fset</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">[</span><span class="n">key</span><span class="p">]</span>
            <span class="n">points</span><span class="o">.</span><span class="n">append</span><span class="p">([</span><span class="n">fset</span><span class="o">.</span><span class="n">lower</span><span class="p">,</span> <span class="n">fset</span><span class="o">.</span><span class="n">centroid</span><span class="p">,</span> <span class="n">fset</span><span class="o">.</span><span class="n">upper</span><span class="p">])</span>
            <span class="c1">#self.index[ct] = fset.name</span>

        <span class="kn">import</span> <span class="nn">sys</span>
        <span class="n">sys</span><span class="o">.</span><span class="n">setrecursionlimit</span><span class="p">(</span><span class="mi">100000</span><span class="p">)</span>

        <span class="bp">self</span><span class="o">.</span><span class="n">kdtree</span> <span class="o">=</span> <span class="n">KDTree</span><span class="p">(</span><span class="n">points</span><span class="p">)</span>

        <span class="n">sys</span><span class="o">.</span><span class="n">setrecursionlimit</span><span class="p">(</span><span class="mi">1000</span><span class="p">)</span></div>

<div class="viewcode-block" id="Partitioner.fuzzyfy"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner.fuzzyfy">[docs]</a>    <span class="k">def</span> <span class="nf">fuzzyfy</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">data</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Fuzzyfy the input data according to this partitioner fuzzy sets.</span>

<span class="sd">        :param data: input value to be fuzzyfied</span>
<span class="sd">        :keyword alpha_cut: the minimal membership value to be considered on fuzzyfication (only for mode=&#39;sets&#39;)</span>
<span class="sd">        :keyword method: the fuzzyfication method (fuzzy: all fuzzy memberships, maximum: only the maximum membership)</span>
<span class="sd">        :keyword mode: the fuzzyfication mode (sets: return the fuzzy sets names, vector: return a vector with the membership</span>
<span class="sd">        values for all fuzzy sets, both: return a list with tuples (fuzzy set, membership value) )</span>

<span class="sd">        :returns a list with the fuzzyfied values, depending on the mode</span>
<span class="sd">        &quot;&quot;&quot;</span>

        <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="p">(</span><span class="nb">list</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">ndarray</span><span class="p">)):</span>
            <span class="n">ret</span> <span class="o">=</span> <span class="p">[]</span>
            <span class="k">for</span> <span class="n">inst</span> <span class="ow">in</span> <span class="n">data</span><span class="p">:</span>
                <span class="n">mv</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">fuzzyfy</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
                <span class="n">ret</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">mv</span><span class="p">)</span>
            <span class="k">return</span> <span class="n">ret</span>

        <span class="n">alpha_cut</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;alpha_cut&#39;</span><span class="p">,</span> <span class="mf">0.</span><span class="p">)</span>
        <span class="n">mode</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;mode&#39;</span><span class="p">,</span> <span class="s1">&#39;sets&#39;</span><span class="p">)</span>
        <span class="n">method</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;method&#39;</span><span class="p">,</span> <span class="s1">&#39;fuzzy&#39;</span><span class="p">)</span>

        <span class="n">nearest</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">search</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="nb">type</span><span class="o">=</span><span class="s1">&#39;index&#39;</span><span class="p">)</span>

        <span class="n">mv</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">partitions</span><span class="p">)</span>

        <span class="k">for</span> <span class="n">ix</span> <span class="ow">in</span> <span class="n">nearest</span><span class="p">:</span>
            <span class="n">tmp</span> <span class="o">=</span> <span class="bp">self</span><span class="p">[</span><span class="n">ix</span><span class="p">]</span><span class="o">.</span><span class="n">membership</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
            <span class="n">mv</span><span class="p">[</span><span class="n">ix</span><span class="p">]</span> <span class="o">=</span> <span class="n">tmp</span> <span class="k">if</span> <span class="n">tmp</span> <span class="o">&gt;=</span> <span class="n">alpha_cut</span> <span class="k">else</span> <span class="mf">0.</span>

        <span class="n">ix</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ravel</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">argwhere</span><span class="p">(</span><span class="n">mv</span> <span class="o">&gt;</span> <span class="mf">0.</span><span class="p">))</span>

        <span class="k">if</span> <span class="n">ix</span><span class="o">.</span><span class="n">size</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
            <span class="n">mv</span><span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">check_bounds</span><span class="p">(</span><span class="n">data</span><span class="p">)]</span> <span class="o">=</span> <span class="mf">1.</span>

        <span class="k">if</span> <span class="n">method</span> <span class="o">==</span> <span class="s1">&#39;fuzzy&#39;</span> <span class="ow">and</span> <span class="n">mode</span> <span class="o">==</span> <span class="s1">&#39;vector&#39;</span><span class="p">:</span>
            <span class="k">return</span> <span class="n">mv</span>
        <span class="k">elif</span> <span class="n">method</span> <span class="o">==</span> <span class="s1">&#39;fuzzy&#39;</span> <span class="ow">and</span> <span class="n">mode</span> <span class="o">==</span> <span class="s1">&#39;sets&#39;</span><span class="p">:</span>
            <span class="n">ix</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ravel</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">argwhere</span><span class="p">(</span><span class="n">mv</span> <span class="o">&gt;</span> <span class="mf">0.</span><span class="p">))</span>
            <span class="n">sets</span> <span class="o">=</span> <span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">ix</span><span class="p">]</span>
            <span class="k">return</span> <span class="n">sets</span>
        <span class="k">elif</span> <span class="n">method</span> <span class="o">==</span> <span class="s1">&#39;maximum&#39;</span> <span class="ow">and</span> <span class="n">mode</span> <span class="o">==</span> <span class="s1">&#39;sets&#39;</span><span class="p">:</span>
            <span class="n">mx</span> <span class="o">=</span> <span class="nb">max</span><span class="p">(</span><span class="n">mv</span><span class="p">)</span>
            <span class="n">ix</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ravel</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">argwhere</span><span class="p">(</span><span class="n">mv</span> <span class="o">==</span> <span class="n">mx</span><span class="p">))</span>
            <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">ix</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span>
        <span class="k">elif</span> <span class="n">mode</span> <span class="o">==</span> <span class="s1">&#39;both&#39;</span><span class="p">:</span>
            <span class="n">ix</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ravel</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">argwhere</span><span class="p">(</span><span class="n">mv</span> <span class="o">&gt;</span> <span class="mf">0.</span><span class="p">))</span>
            <span class="n">sets</span> <span class="o">=</span> <span class="p">[(</span><span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">i</span><span class="p">],</span> <span class="n">mv</span><span class="p">[</span><span class="n">i</span><span class="p">])</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">ix</span><span class="p">]</span>
            <span class="k">return</span> <span class="n">sets</span></div>

<div class="viewcode-block" id="Partitioner.check_bounds"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner.check_bounds">[docs]</a>    <span class="k">def</span> <span class="nf">check_bounds</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">data</span><span class="p">):</span>
        <span class="sd">&#39;&#39;&#39;</span>
<span class="sd">        Check if the input data is outside the known Universe of Discourse and, if it is, round it to the closest</span>
<span class="sd">        fuzzy set.</span>

<span class="sd">        :param data: input data to be verified</span>
<span class="sd">        :return: the index of the closest fuzzy set when data is outside de universe of discourse or None if</span>
<span class="sd">        the data is inside the UoD.</span>
<span class="sd">        &#39;&#39;&#39;</span>
        <span class="k">if</span> <span class="n">data</span> <span class="o">&lt;</span> <span class="bp">self</span><span class="o">.</span><span class="n">min</span><span class="p">:</span>
            <span class="k">return</span> <span class="mi">0</span>
        <span class="k">elif</span> <span class="n">data</span> <span class="o">&gt;</span> <span class="bp">self</span><span class="o">.</span><span class="n">max</span><span class="p">:</span>
            <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">partitions</span><span class="o">-</span><span class="mi">1</span></div>

<div class="viewcode-block" id="Partitioner.search"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner.search">[docs]</a>    <span class="k">def</span> <span class="nf">search</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">data</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
        <span class="sd">&#39;&#39;&#39;</span>
<span class="sd">        Perform a search for the nearest fuzzy sets of the point &#39;data&#39;. This function were designed to work with several</span>
<span class="sd">        overlapped fuzzy sets.</span>

<span class="sd">        :param data: the value to search for the nearest fuzzy sets</span>
<span class="sd">        :param type: the return type: &#39;index&#39; for the fuzzy set indexes or &#39;name&#39; for fuzzy set names.</span>
<span class="sd">        :param results: the number of nearest fuzzy sets to return</span>
<span class="sd">        :return: a list with the nearest fuzzy sets</span>
<span class="sd">        &#39;&#39;&#39;</span>
        <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">kdtree</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
            <span class="bp">self</span><span class="o">.</span><span class="n">build_index</span><span class="p">()</span>

        <span class="nb">type</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;type&#39;</span><span class="p">,</span><span class="s1">&#39;index&#39;</span><span class="p">)</span>
        <span class="n">results</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">&#39;results&#39;</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span>

        <span class="n">_</span><span class="p">,</span> <span class="n">ix</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">kdtree</span><span class="o">.</span><span class="n">query</span><span class="p">([</span><span class="n">data</span><span class="p">,</span> <span class="n">data</span><span class="p">,</span> <span class="n">data</span><span class="p">],</span> <span class="n">results</span><span class="p">)</span>

        <span class="k">if</span> <span class="nb">type</span> <span class="o">==</span> <span class="s1">&#39;name&#39;</span><span class="p">:</span>
            <span class="k">return</span> <span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">ix</span><span class="p">)]</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="k">return</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">ix</span><span class="p">)</span></div>


<div class="viewcode-block" id="Partitioner.plot"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner.plot">[docs]</a>    <span class="k">def</span> <span class="nf">plot</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">ax</span><span class="p">,</span> <span class="n">rounding</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Plot the partitioning using the Matplotlib axis ax</span>

<span class="sd">        :param ax: Matplotlib axis</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="n">ax</span><span class="o">.</span><span class="n">set_title</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">name</span><span class="p">)</span>
        <span class="n">ax</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">([</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.1</span><span class="p">])</span>
        <span class="n">ax</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">([</span><span class="bp">self</span><span class="o">.</span><span class="n">min</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">max</span><span class="p">])</span>
        <span class="n">ticks</span> <span class="o">=</span> <span class="p">[]</span>
        <span class="n">x</span> <span class="o">=</span> <span class="p">[]</span>
        <span class="k">for</span> <span class="n">key</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="o">.</span><span class="n">keys</span><span class="p">():</span>
            <span class="n">s</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">[</span><span class="n">key</span><span class="p">]</span>
            <span class="k">if</span> <span class="n">s</span><span class="o">.</span><span class="n">type</span> <span class="o">==</span> <span class="s1">&#39;common&#39;</span><span class="p">:</span>
                <span class="bp">self</span><span class="o">.</span><span class="n">plot_set</span><span class="p">(</span><span class="n">ax</span><span class="p">,</span> <span class="n">s</span><span class="p">)</span>
            <span class="k">elif</span> <span class="n">s</span><span class="o">.</span><span class="n">type</span> <span class="o">==</span> <span class="s1">&#39;composite&#39;</span><span class="p">:</span>
                <span class="k">for</span> <span class="n">ss</span> <span class="ow">in</span> <span class="n">s</span><span class="o">.</span><span class="n">sets</span><span class="p">:</span>
                    <span class="bp">self</span><span class="o">.</span><span class="n">plot_set</span><span class="p">(</span><span class="n">ax</span><span class="p">,</span> <span class="n">ss</span><span class="p">)</span>
            <span class="n">ticks</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="n">s</span><span class="o">.</span><span class="n">centroid</span><span class="p">,</span><span class="n">rounding</span><span class="p">))</span><span class="o">+</span><span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span><span class="o">+</span><span class="n">s</span><span class="o">.</span><span class="n">name</span><span class="p">)</span>
            <span class="n">x</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">s</span><span class="o">.</span><span class="n">centroid</span><span class="p">)</span>
        <span class="n">ax</span><span class="o">.</span><span class="n">xaxis</span><span class="o">.</span><span class="n">set_ticklabels</span><span class="p">(</span><span class="n">ticks</span><span class="p">)</span>
        <span class="n">ax</span><span class="o">.</span><span class="n">xaxis</span><span class="o">.</span><span class="n">set_ticks</span><span class="p">(</span><span class="n">x</span><span class="p">)</span></div>

<div class="viewcode-block" id="Partitioner.plot_set"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.partitioner.Partitioner.plot_set">[docs]</a>    <span class="k">def</span> <span class="nf">plot_set</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">ax</span><span class="p">,</span> <span class="n">s</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Plot an isolate fuzzy set on Matplotlib axis</span>

<span class="sd">        :param ax: Matplotlib axis</span>
<span class="sd">        :param s: Fuzzy Set</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">if</span> <span class="n">s</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trimf</span><span class="p">:</span>
            <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="n">s</span><span class="o">.</span><span class="n">parameters</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">s</span><span class="o">.</span><span class="n">parameters</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">s</span><span class="o">.</span><span class="n">parameters</span><span class="p">[</span><span class="mi">2</span><span class="p">]],</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="n">s</span><span class="o">.</span><span class="n">alpha</span><span class="p">,</span> <span class="mi">0</span><span class="p">])</span>
        <span class="k">elif</span> <span class="n">s</span><span class="o">.</span><span class="n">mf</span> <span class="ow">in</span> <span class="p">(</span><span class="n">Membership</span><span class="o">.</span><span class="n">gaussmf</span><span class="p">,</span> <span class="n">Membership</span><span class="o">.</span><span class="n">bellmf</span><span class="p">,</span> <span class="n">Membership</span><span class="o">.</span><span class="n">sigmf</span><span class="p">):</span>
            <span class="n">tmpx</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="n">s</span><span class="o">.</span><span class="n">lower</span><span class="p">,</span> <span class="n">s</span><span class="o">.</span><span class="n">upper</span><span class="p">,</span> <span class="mi">100</span><span class="p">)</span>
            <span class="n">tmpy</span> <span class="o">=</span> <span class="p">[</span><span class="n">s</span><span class="o">.</span><span class="n">membership</span><span class="p">(</span><span class="n">kk</span><span class="p">)</span> <span class="k">for</span> <span class="n">kk</span> <span class="ow">in</span> <span class="n">tmpx</span><span class="p">]</span>
            <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tmpx</span><span class="p">,</span> <span class="n">tmpy</span><span class="p">)</span>
        <span class="k">elif</span> <span class="n">s</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trapmf</span><span class="p">:</span>
            <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">s</span><span class="o">.</span><span class="n">parameters</span><span class="p">,</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="n">s</span><span class="o">.</span><span class="n">alpha</span><span class="p">,</span> <span class="n">s</span><span class="o">.</span><span class="n">alpha</span><span class="p">,</span> <span class="mi">0</span><span class="p">])</span>
        <span class="k">elif</span> <span class="n">s</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">singleton</span><span class="p">:</span>
            <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="n">s</span><span class="o">.</span><span class="n">parameters</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">s</span><span class="o">.</span><span class="n">parameters</span><span class="p">[</span><span class="mi">0</span><span class="p">]],</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="n">s</span><span class="o">.</span><span class="n">alpha</span><span class="p">])</span></div>

    <span class="k">def</span> <span class="nf">__str__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Return a string representation of the partitioner, the list of fuzzy sets and their parameters</span>

<span class="sd">        :return:</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="n">tmp</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">name</span> <span class="o">+</span> <span class="s2">&quot;:</span><span class="se">\n</span><span class="s2">&quot;</span>
        <span class="k">for</span> <span class="n">key</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="o">.</span><span class="n">keys</span><span class="p">():</span>
            <span class="n">tmp</span> <span class="o">+=</span> <span class="nb">str</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">[</span><span class="n">key</span><span class="p">])</span><span class="o">+</span> <span class="s2">&quot;</span><span class="se">\n</span><span class="s2">&quot;</span>
        <span class="k">return</span> <span class="n">tmp</span>

    <span class="k">def</span> <span class="nf">__len__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Return the number of partitions</span>

<span class="sd">        :return: number of partitions</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">partitions</span>

    <span class="k">def</span> <span class="nf">__getitem__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">item</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Return a fuzzy set by its order or its name.</span>

<span class="sd">        :param item: If item is an integer then it represents the fuzzy set index (order), if it was a string then</span>
<span class="sd">        it represents the fuzzy set name.</span>
<span class="sd">        :return: the fuzzy set</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">item</span><span class="p">,</span> <span class="p">(</span><span class="nb">int</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">int</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">int8</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">int16</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">int32</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">int64</span><span class="p">)):</span>
            <span class="k">if</span> <span class="n">item</span> <span class="o">&lt;</span> <span class="mi">0</span> <span class="ow">or</span> <span class="n">item</span> <span class="o">&gt;=</span> <span class="bp">self</span><span class="o">.</span><span class="n">partitions</span><span class="p">:</span>
                <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span><span class="s2">&quot;The fuzzy set index must be between 0 and </span><span class="si">{}</span><span class="s2">.&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">partitions</span><span class="p">))</span>
            <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">item</span><span class="p">]]</span>
        <span class="k">elif</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">item</span><span class="p">,</span> <span class="nb">str</span><span class="p">):</span>
            <span class="k">if</span> <span class="n">item</span> <span class="ow">not</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">:</span>
                <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span><span class="s2">&quot;The fuzzy set with name </span><span class="si">{}</span><span class="s2"> does not exist.&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">item</span><span class="p">))</span>
            <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">[</span><span class="n">item</span><span class="p">]</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span><span class="s2">&quot;The parameter &#39;item&#39; must be an integer or a string and the value informed was </span><span class="si">{}</span><span class="s2"> of type </span><span class="si">{}</span><span class="s2">!&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">item</span><span class="p">,</span> <span class="nb">type</span><span class="p">(</span><span class="n">item</span><span class="p">)))</span>

    <span class="k">def</span> <span class="nf">__iter__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Iterate over the fuzzy sets, ordered by its midpoints.</span>

<span class="sd">        :return: An iterator over the fuzzy sets.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">for</span> <span class="n">key</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">:</span>
            <span class="k">yield</span> <span class="bp">self</span><span class="o">.</span><span class="n">sets</span><span class="p">[</span><span class="n">key</span><span class="p">]</span></div>

</pre></div>

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