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<span class="n">d</span><span class="p">[</span><span class="n">d_idx</span><span class="p">]</span> <span class="o">=</span> <span class="n">grad_out</span><span class="o">.</span><span class="n">conjugate</span><span class="p">()</span> <span class="o">*</span> <span class="n">conj_w_d</span> <span class="o">+</span> <span class="n">grad_out</span> <span class="o">*</span> <span class="n">w_d</span><span class="o">.</span><span class="n">conj</span><span class="p">()</span>
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<span class="k">elif</span> <span class="n">ds_dx</span><span class="o">.</span><span class="n">is_complex</span><span class="p">():</span> <span class="c1"># R -&gt; C</span>
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<span class="n">dL_dz_conj</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="p">(</span><span class="n">grad_out</span><span class="o">.</span><span class="n">conjugate</span><span class="p">()</span> <span class="o">*</span> <span class="n">ds_dx</span> <span class="o">+</span> <span class="n">grad_out</span> <span class="o">*</span> <span class="n">ds_dx</span><span class="o">.</span><span class="n">conj</span><span class="p">())</span>
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<span class="c1"># The above formula is derived for a C -&gt; C function that&#39;s a part of</span>
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