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<div class="section" id="torch-allclose">
<h1>torch.allclose<a class="headerlink" href="#torch-allclose" title="Permalink to this headline">¶</a></h1>
<dl class="function">
<dt id="torch.allclose">
<code class="sig-prename descclassname">torch.</code><code class="sig-name descname">allclose</code><span class="sig-paren">(</span><em class="sig-param">input</em>, <em class="sig-param">other</em>, <em class="sig-param">rtol=1e-05</em>, <em class="sig-param">atol=1e-08</em>, <em class="sig-param">equal_nan=False</em><span class="sig-paren">)</span> → bool<a class="headerlink" href="#torch.allclose" title="Permalink to this definition">¶</a></dt>
<dd><p>This function checks if all <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code> satisfy the condition:</p>
<div class="math">
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mo stretchy="false">∣</mo><mtext>input</mtext><mo>−</mo><mtext>other</mtext><mo stretchy="false">∣</mo><mo>≤</mo><mtext mathvariant="monospace">atol</mtext><mo>+</mo><mtext mathvariant="monospace">rtol</mtext><mo>×</mo><mo stretchy="false">∣</mo><mtext>other</mtext><mo stretchy="false">∣</mo></mrow><annotation encoding="application/x-tex">\lvert \text{input} - \text{other} \rvert \leq \texttt{atol} + \texttt{rtol} \times \lvert \text{other} \rvert
</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">∣</span><span class="mord text"><span class="mord">input</span></span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">other</span></span><span class="mclose">∣</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">≤</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.6944400000000001em;vertical-align:-0.08333em;"></span><span class="mord text"><span class="mord texttt">atol</span></span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:0.6944400000000001em;vertical-align:-0.08333em;"></span><span class="mord text"><span class="mord texttt">rtol</span></span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">∣</span><span class="mord text"><span class="mord">other</span></span><span class="mclose">∣</span></span></span></span></span>
</div><p>elementwise, for all elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>. The behaviour of this function is analogous to
<a class="reference external" href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.allclose.html">numpy.allclose</a></p>
<dl class="field-list simple">
<dt class="field-odd">Parameters</dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>input</strong> (<a class="reference internal" href="../tensors.html#torch.Tensor" title="torch.Tensor"><em>Tensor</em></a>) – first tensor to compare</p></li>
<li><p><strong>other</strong> (<a class="reference internal" href="../tensors.html#torch.Tensor" title="torch.Tensor"><em>Tensor</em></a>) – second tensor to compare</p></li>
<li><p><strong>atol</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.9)"><em>float</em></a><em>, </em><em>optional</em>) – absolute tolerance. Default: 1e-08</p></li>
<li><p><strong>rtol</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.9)"><em>float</em></a><em>, </em><em>optional</em>) – relative tolerance. Default: 1e-05</p></li>
<li><p><strong>equal_nan</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.9)"><em>bool</em></a><em>, </em><em>optional</em>) – if <code class="docutils literal notranslate"><span class="pre">True</span></code>, then two <code class="docutils literal notranslate"><span class="pre">NaN</span></code> s will be considered equal. Default: <code class="docutils literal notranslate"><span class="pre">False</span></code></p></li>
</ul>
</dd>
</dl>
<p>Example:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="n">torch</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([</span><span class="mf">10000.</span><span class="p">,</span> <span class="mf">1e-07</span><span class="p">]),</span> <span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([</span><span class="mf">10000.1</span><span class="p">,</span> <span class="mf">1e-08</span><span class="p">]))</span>
<span class="go">False</span>
<span class="gp">>>> </span><span class="n">torch</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([</span><span class="mf">10000.</span><span class="p">,</span> <span class="mf">1e-08</span><span class="p">]),</span> <span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([</span><span class="mf">10000.1</span><span class="p">,</span> <span class="mf">1e-09</span><span class="p">]))</span>
<span class="go">True</span>
<span class="gp">>>> </span><span class="n">torch</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="nb">float</span><span class="p">(</span><span class="s1">'nan'</span><span class="p">)]),</span> <span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="nb">float</span><span class="p">(</span><span class="s1">'nan'</span><span class="p">)]))</span>
<span class="go">False</span>
<span class="gp">>>> </span><span class="n">torch</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="nb">float</span><span class="p">(</span><span class="s1">'nan'</span><span class="p">)]),</span> <span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="nb">float</span><span class="p">(</span><span class="s1">'nan'</span><span class="p">)]),</span> <span class="n">equal_nan</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
<span class="go">True</span>
</pre></div>
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