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<section id="numpy-angle">
<h1>numpy.angle<a class="headerlink" href="#numpy-angle" title="Link to this heading">#</a></h1>
<dl class="py function">
<dt class="sig sig-object py" id="numpy.angle">
<span class="sig-prename descclassname"><span class="pre">numpy.</span></span><span class="sig-name descname"><span class="pre">angle</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">z</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">deg</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em><span class="sig-paren">)</span><a class="reference external" href="https://github.com/numpy/numpy/blob/main/numpy/lib/_function_base_impl.py#L1646-L1697"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#numpy.angle" title="Link to this definition">#</a></dt>
<dd><p>Return the angle of the complex argument.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><dl class="simple">
<dt><strong>z</strong><span class="classifier">array_like</span></dt><dd><p>A complex number or sequence of complex numbers.</p>
</dd>
<dt><strong>deg</strong><span class="classifier">bool, optional</span></dt><dd><p>Return angle in degrees if True, radians if False (default).</p>
</dd>
</dl>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><dl class="simple">
<dt><strong>angle</strong><span class="classifier">ndarray or scalar</span></dt><dd><p>The counterclockwise angle from the positive real axis on the complex
plane in the range <code class="docutils literal notranslate"><span class="pre">(-pi,</span> <span class="pre">pi]</span></code>, with dtype as numpy.float64.</p>
</dd>
</dl>
</dd>
</dl>
<div class="admonition seealso">
<p class="admonition-title">See also</p>
<dl class="simple">
<dt><a class="reference internal" href="numpy.arctan2.html#numpy.arctan2" title="numpy.arctan2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arctan2</span></code></a></dt><dd></dd>
<dt><a class="reference internal" href="numpy.absolute.html#numpy.absolute" title="numpy.absolute"><code class="xref py py-obj docutils literal notranslate"><span class="pre">absolute</span></code></a></dt><dd></dd>
</dl>
</div>
<p class="rubric">Notes</p>
<p>This function passes the imaginary and real parts of the argument to
<a class="reference internal" href="numpy.arctan2.html#numpy.arctan2" title="numpy.arctan2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arctan2</span></code></a> to compute the result; consequently, it follows the convention
of <a class="reference internal" href="numpy.arctan2.html#numpy.arctan2" title="numpy.arctan2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arctan2</span></code></a> when the magnitude of the argument is zero. See example.</p>
<p class="rubric">Examples</p>
<div class="try_examples_outer_container docutils container" id="b840a98c-8562-4dda-aab3-db53d7d1aaae">
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<div class="doctest highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="kn">import</span><span class="w"> </span><span class="nn">numpy</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="nn">np</span>
<span class="gp">>>> </span><span class="n">np</span><span class="o">.</span><span class="n">angle</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="n">j</span><span class="p">,</span> <span class="mi">1</span><span class="o">+</span><span class="mi">1</span><span class="n">j</span><span class="p">])</span> <span class="c1"># in radians</span>
<span class="go">array([ 0. , 1.57079633, 0.78539816]) # may vary</span>
<span class="gp">>>> </span><span class="n">np</span><span class="o">.</span><span class="n">angle</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="mi">1</span><span class="n">j</span><span class="p">,</span> <span class="n">deg</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span> <span class="c1"># in degrees</span>
<span class="go">45.0</span>
<span class="gp">>>> </span><span class="n">np</span><span class="o">.</span><span class="n">angle</span><span class="p">([</span><span class="mf">0.</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.</span><span class="p">,</span> <span class="nb">complex</span><span class="p">(</span><span class="mf">0.</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.</span><span class="p">),</span> <span class="nb">complex</span><span class="p">(</span><span class="o">-</span><span class="mf">0.</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.</span><span class="p">)])</span> <span class="c1"># convention</span>
<span class="go">array([ 0. , 3.14159265, -0. , -3.14159265])</span>
</pre></div>
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