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<a href="../../_sources/functionlib/dsplib/lpnormalization.rst.txt" rel="nofollow"> 查看页面源码</a>
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<section id="lpnormalization">
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<h1>LpNormalization<a class="headerlink" href="#lpnormalization" title="Link to this heading"></a></h1>
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<p>对输入张量按 <strong>实例（Instance）+ 通道（Channel）</strong> 维度执行 Lp 归一化操作。
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该算子在每个样本的每个通道内，基于 <code class="docutils literal notranslate"><span class="pre">inner_size</span></code> 维度计算 Lp 范数，
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并结合可学习参数 <code class="docutils literal notranslate"><span class="pre">gamma</span></code> 与 <code class="docutils literal notranslate"><span class="pre">beta</span></code> 完成缩放与偏移。</p>
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<div class="math notranslate nohighlight">
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\[ \begin{align}\begin{aligned}\text{norm}_{b,c} = \left( \sum_{i=1}^{N} |x_{b,c,i}|^p + \epsilon \right)^{\frac{1}{p}}\\y_{b,c,i} = \frac{x_{b,c,i}}{\text{norm}_{b,c}} \cdot \gamma_c + \beta_c\end{aligned}\end{align} \]</div>
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<p>其中：</p>
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<ul class="simple">
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<li><p><span class="math notranslate nohighlight">\(b\)</span> 表示 batch 维度</p></li>
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<li><p><span class="math notranslate nohighlight">\(c\)</span> 表示通道维度</p></li>
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<li><p><span class="math notranslate nohighlight">\(i\)</span> 表示 <code class="docutils literal notranslate"><span class="pre">inner_size</span></code> 维度</p></li>
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<li><p><span class="math notranslate nohighlight">\(p\)</span> 为范数阶数</p></li>
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<li><p><span class="math notranslate nohighlight">\(\gamma_c\)</span>、<span class="math notranslate nohighlight">\(\beta_c\)</span> 为通道级缩放与偏移参数</p></li>
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</ul>
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<dl class="simple">
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<dt>输入：</dt><dd><ul class="simple">
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<li><p><strong>input</strong> - 输入数据地址，形状为 <code class="docutils literal notranslate"><span class="pre">[batch,</span> <span class="pre">channel,</span> <span class="pre">inner_size]</span></code>。</p></li>
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<li><p><strong>gamma</strong> - 缩放参数地址，长度为 <code class="docutils literal notranslate"><span class="pre">channel</span></code>。</p></li>
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<li><p><strong>beta</strong> - 偏移参数地址，长度为 <code class="docutils literal notranslate"><span class="pre">channel</span></code>。</p></li>
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<li><p><strong>p</strong> - Lp 范数阶数。</p></li>
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<li><p><strong>batch</strong> - batch 数。</p></li>
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<li><p><strong>channel</strong> - 通道数。</p></li>
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<li><p><strong>inner_size</strong> - 每个通道内的归一化长度。</p></li>
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<li><p><strong>epsilon</strong> - 数值稳定因子。</p></li>
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<li><p><strong>core_mask</strong> - 核掩码（仅适用于共享存储版本）。</p></li>
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</ul>
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</dd>
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<dt>输出：</dt><dd><ul class="simple">
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<li><p><strong>output</strong> - LpNormalization 计算结果地址。</p></li>
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</ul>
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</dd>
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<dt>支持平台：</dt><dd><p><code class="docutils literal notranslate"><span class="pre">FT78NE</span></code>
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<code class="docutils literal notranslate"><span class="pre">MT7004</span></code></p>
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</dd>
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</dl>
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<div class="admonition note">
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<p class="admonition-title">备注</p>
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<ul class="simple">
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<li><p>FT78NE 支持 <code class="docutils literal notranslate"><span class="pre">fp32</span></code> 类型</p></li>
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<li><p>MT7004 支持 <code class="docutils literal notranslate"><span class="pre">fp16</span></code>、<code class="docutils literal notranslate"><span class="pre">fp32</span></code> 类型</p></li>
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<li><p>归一化统计量仅在单个样本、单个通道内计算</p></li>
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<li><p><code class="docutils literal notranslate"><span class="pre">p</span></code> 为浮点数，可用于 L1、L2 等不同范数形式</p></li>
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</ul>
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</div>
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<p><strong>共享存储版本:</strong></p>
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<dl class="c function">
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<dt class="sig sig-object c" id="c.fp_lpnorm_s">
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<span class="kt"><span class="pre">void</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">fp_lpnorm_s</span></span></span><span class="sig-paren">(</span><span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">input</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">gamma</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">beta</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">output</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">p</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">batch</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">channel</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">inner_size</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">epsilon</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">core_mask</span></span><span class="sig-paren">)</span><a class="headerlink" href="#c.fp_lpnorm_s" title="Link to this definition"></a><br /></dt>
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<dd></dd></dl>
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<dl class="c function">
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<dt class="sig sig-object c" id="c.hp_lpnorm_s">
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<span class="kt"><span class="pre">void</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">hp_lpnorm_s</span></span></span><span class="sig-paren">(</span><span class="n"><span class="pre">half</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">input</span></span>, <span class="n"><span class="pre">half</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">gamma</span></span>, <span class="n"><span class="pre">half</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">beta</span></span>, <span class="n"><span class="pre">half</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">output</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">p</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">batch</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">channel</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">inner_size</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">epsilon</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">core_mask</span></span><span class="sig-paren">)</span><a class="headerlink" href="#c.hp_lpnorm_s" title="Link to this definition"></a><br /></dt>
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<dd></dd></dl>
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<p><strong>C调用示例：</strong></p>
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<div class="highlight-c notranslate"><div class="highlight"><pre><span></span><span class="linenos"> 1</span><span class="c1">// FT78NE 示例</span>
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<span class="linenos"> 2</span><span class="cp">#include</span><span class="w"> </span><span class="cpf"><stdio.h></span>
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<span class="linenos"> 3</span><span class="cp">#include</span><span class="w"> </span><span class="cpf"><lpnorm.h></span>
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<span class="linenos"> 4</span>
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<span class="linenos"> 5</span><span class="kt">int</span><span class="w"> </span><span class="nf">main</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">argc</span><span class="p">,</span><span class="w"> </span><span class="kt">char</span><span class="o">*</span><span class="w"> </span><span class="n">argv</span><span class="p">[])</span><span class="w"> </span><span class="p">{</span>
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<span class="linenos"> 6</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="n">input</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="mh">0xA0000000</span><span class="p">;</span><span class="w"> </span><span class="c1">// input 在 DDR 空间</span>
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<span class="linenos"> 7</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="n">output</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="mh">0xC0000000</span><span class="p">;</span>
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<span class="linenos"> 8</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="n">gamma</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="mh">0xA1000000</span><span class="p">;</span>
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<span class="linenos"> 9</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="n">beta</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="mh">0xA2000000</span><span class="p">;</span>
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<span class="linenos">10</span>
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<span class="linenos">11</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">batch</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">4</span><span class="p">;</span>
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<span class="linenos">12</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">channel</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">64</span><span class="p">;</span>
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<span class="linenos">13</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">inner_size</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">256</span><span class="p">;</span>
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<span class="linenos">14</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">p</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">2.0f</span><span class="p">;</span>
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<span class="linenos">15</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">epsilon</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1e-6f</span><span class="p">;</span>
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<span class="linenos">16</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">core_mask</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mh">0xff</span><span class="p">;</span>
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<span class="linenos">17</span>
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<span class="hll"><span class="linenos">18</span><span class="w"> </span><span class="n">fp_lpnorm_s</span><span class="p">(</span><span class="n">input</span><span class="p">,</span><span class="w"> </span><span class="n">gamma</span><span class="p">,</span><span class="w"> </span><span class="n">beta</span><span class="p">,</span><span class="w"> </span><span class="n">output</span><span class="p">,</span>
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</span><span class="hll"><span class="linenos">19</span><span class="w"> </span><span class="n">p</span><span class="p">,</span><span class="w"> </span><span class="n">batch</span><span class="p">,</span><span class="w"> </span><span class="n">channel</span><span class="p">,</span><span class="w"> </span><span class="n">inner_size</span><span class="p">,</span><span class="w"> </span><span class="n">epsilon</span><span class="p">,</span><span class="w"> </span><span class="n">core_mask</span><span class="p">);</span>
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</span><span class="linenos">20</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
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<span class="linenos">21</span><span class="p">}</span>
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</pre></div>
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</div>
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<p><strong>私有存储版本:</strong></p>
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<dl class="c function">
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<dt class="sig sig-object c" id="c.fp_lpnorm_p">
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<span class="kt"><span class="pre">void</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">fp_lpnorm_p</span></span></span><span class="sig-paren">(</span><span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">input</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">gamma</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">beta</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">output</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">p</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">batch</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">channel</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">inner_size</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">epsilon</span></span><span class="sig-paren">)</span><a class="headerlink" href="#c.fp_lpnorm_p" title="Link to this definition"></a><br /></dt>
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<dd></dd></dl>
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<dl class="c function">
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<dt class="sig sig-object c" id="c.hp_lpnorm_p">
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<span class="kt"><span class="pre">void</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">hp_lpnorm_p</span></span></span><span class="sig-paren">(</span><span class="n"><span class="pre">half</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">input</span></span>, <span class="n"><span class="pre">half</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">gamma</span></span>, <span class="n"><span class="pre">half</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">beta</span></span>, <span class="n"><span class="pre">half</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">output</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">p</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">batch</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">channel</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">inner_size</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">epsilon</span></span><span class="sig-paren">)</span><a class="headerlink" href="#c.hp_lpnorm_p" title="Link to this definition"></a><br /></dt>
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<dd></dd></dl>
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<p><strong>C调用示例：</strong></p>
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<div class="highlight-c notranslate"><div class="highlight"><pre><span></span><span class="linenos"> 1</span><span class="c1">// FT78NE 示例</span>
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<span class="linenos"> 2</span><span class="cp">#include</span><span class="w"> </span><span class="cpf"><stdio.h></span>
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<span class="linenos"> 3</span><span class="cp">#include</span><span class="w"> </span><span class="cpf"><lpnorm.h></span>
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<span class="linenos"> 4</span>
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||
<span class="linenos"> 5</span><span class="kt">int</span><span class="w"> </span><span class="nf">main</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">argc</span><span class="p">,</span><span class="w"> </span><span class="kt">char</span><span class="o">*</span><span class="w"> </span><span class="n">argv</span><span class="p">[])</span><span class="w"> </span><span class="p">{</span>
|
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<span class="linenos"> 6</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="n">input</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="mh">0x10810000</span><span class="p">;</span><span class="w"> </span><span class="c1">// input 在 L2 空间</span>
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||
<span class="linenos"> 7</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="n">output</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="mh">0x10820000</span><span class="p">;</span>
|
||
<span class="linenos"> 8</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="n">gamma</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="mh">0x10830000</span><span class="p">;</span>
|
||
<span class="linenos"> 9</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="n">beta</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="mh">0x10840000</span><span class="p">;</span>
|
||
<span class="linenos">10</span>
|
||
<span class="linenos">11</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">batch</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">4</span><span class="p">;</span>
|
||
<span class="linenos">12</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">channel</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">64</span><span class="p">;</span>
|
||
<span class="linenos">13</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">inner_size</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">256</span><span class="p">;</span>
|
||
<span class="linenos">14</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">p</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">2.0f</span><span class="p">;</span>
|
||
<span class="linenos">15</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">epsilon</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1e-6f</span><span class="p">;</span>
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||
<span class="linenos">16</span>
|
||
<span class="hll"><span class="linenos">17</span><span class="w"> </span><span class="n">fp_lpnorm_p</span><span class="p">(</span><span class="n">input</span><span class="p">,</span><span class="w"> </span><span class="n">gamma</span><span class="p">,</span><span class="w"> </span><span class="n">beta</span><span class="p">,</span><span class="w"> </span><span class="n">output</span><span class="p">,</span>
|
||
</span><span class="hll"><span class="linenos">18</span><span class="w"> </span><span class="n">p</span><span class="p">,</span><span class="w"> </span><span class="n">batch</span><span class="p">,</span><span class="w"> </span><span class="n">channel</span><span class="p">,</span><span class="w"> </span><span class="n">inner_size</span><span class="p">,</span><span class="w"> </span><span class="n">epsilon</span><span class="p">);</span>
|
||
</span><span class="linenos">19</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<span class="linenos">20</span><span class="p">}</span>
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</pre></div>
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