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<h1>Source code for de.benchmarks</h1><div class="highlight"><pre> | ||
<span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span> | ||
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<div class="viewcode-block" id="f_ackley"><a class="viewcode-back" href="../../de.benchmarks.html#de.benchmarks.f_ackley">[docs]</a><span class="k">def</span> <span class="nf">f_ackley</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span> | ||
<span class="sd">"""</span> | ||
<span class="sd"> Define the benchmark Ackley function.</span> | ||
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<span class="sd"> :param numpy.ndarray x:</span> | ||
<span class="sd"> The function's argument array.</span> | ||
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<span class="sd"> :param float a:</span> | ||
<span class="sd"> Function's constant.</span> | ||
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<span class="sd"> :param float b:</span> | ||
<span class="sd"> Function's constant.</span> | ||
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<span class="sd"> :param float c:</span> | ||
<span class="sd"> Function's constant.</span> | ||
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<span class="sd"> :return:</span> | ||
<span class="sd"> The evaluated function at the given input array.</span> | ||
<span class="sd"> :rtype: float</span> | ||
<span class="sd"> """</span> | ||
<span class="n">d</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> | ||
<span class="n">f</span> <span class="o">=</span> <span class="o">-</span> <span class="n">a</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="n">b</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">((</span><span class="mf">1.0</span> <span class="o">/</span> <span class="n">d</span><span class="p">)</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">x</span> <span class="o">*</span> <span class="n">x</span><span class="p">)))</span> \ | ||
<span class="o">-</span> <span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">((</span><span class="mf">1.0</span> <span class="o">/</span> <span class="n">d</span><span class="p">)</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">c</span> <span class="o">*</span> <span class="n">x</span><span class="p">)))</span> <span class="o">+</span> <span class="n">a</span> <span class="o">+</span> <span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="mi">1</span><span class="p">)</span> | ||
<span class="k">return</span> <span class="n">f</span></div> | ||
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<div class="viewcode-block" id="f_rosenbrock"><a class="viewcode-back" href="../../de.benchmarks.html#de.benchmarks.f_rosenbrock">[docs]</a><span class="k">def</span> <span class="nf">f_rosenbrock</span><span class="p">(</span><span class="n">x</span><span class="p">):</span> | ||
<span class="sd">"""</span> | ||
<span class="sd"> Define the benchmark Rosenbrock function.</span> | ||
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<span class="sd"> :param numpy.ndarray x:</span> | ||
<span class="sd"> The function's argument array.</span> | ||
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<span class="sd"> :return:</span> | ||
<span class="sd"> The evaluated function at the given input array.</span> | ||
<span class="sd"> :rtype: float</span> | ||
<span class="sd"> """</span> | ||
<span class="n">dim</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> | ||
<span class="n">f</span> <span class="o">=</span> <span class="mf">0.0</span> | ||
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">dim</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span> | ||
<span class="n">left_term</span> <span class="o">=</span> <span class="mf">100.</span> <span class="o">*</span> <span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">*</span> <span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">])</span> <span class="o">*</span> <span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">*</span> <span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">])</span> | ||
<span class="n">right_term</span> <span class="o">=</span> <span class="p">(</span><span class="mf">1.</span> <span class="o">-</span> <span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">])</span> <span class="o">*</span> <span class="p">(</span><span class="mf">1.</span> <span class="o">-</span> <span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">])</span> | ||
<span class="n">f</span> <span class="o">+=</span> <span class="n">left_term</span> <span class="o">+</span> <span class="n">right_term</span> | ||
<span class="k">return</span> <span class="n">f</span></div> | ||
</pre></div> | ||
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de.benchmarks | ||
====================== | ||
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Provides some benchmark problems to global optimization. | ||
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.. automodule:: de.benchmarks | ||
:members: | ||
:undoc-members: | ||
:show-inheritance: |
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