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<section id="batchnorm">
<h1>BatchNorm<a class="headerlink" href="#batchnorm" title="此标题的永久链接"></a></h1>
<p>对输入数组按通道执行批归一化Batch Normalization计算。
该算子使用给定的均值与方差对输入进行标准化,并通过 epsilon 保证数值稳定性。</p>
<div class="math notranslate nohighlight">
\[dst_{i,j} = \frac{src_{i,j} - mean_j}{\sqrt{variance_j + \epsilon}}\]</div>
<p>其中:</p>
<ul class="simple">
<li><p><span class="math notranslate nohighlight">\(i\)</span> 表示第 <code class="docutils literal notranslate"><span class="pre">unit</span></code> 个样本</p></li>
<li><p><span class="math notranslate nohighlight">\(j\)</span> 表示通道索引</p></li>
<li><p><span class="math notranslate nohighlight">\(mean_j\)</span><span class="math notranslate nohighlight">\(variance_j\)</span> 为第 <span class="math notranslate nohighlight">\(j\)</span> 个通道的统计量</p></li>
</ul>
<p>对于 <code class="docutils literal notranslate"><span class="pre">int8</span></code> 类型输入,内部以浮点方式计算,最终结果按实现规则取整并输出为 <code class="docutils literal notranslate"><span class="pre">int8</span></code></p>
<dl class="simple">
<dt>输入:</dt><dd><ul class="simple">
<li><p><strong>input</strong> - 输入数据地址,形状为 <code class="docutils literal notranslate"><span class="pre">[unit,</span> <span class="pre">channel]</span></code></p></li>
<li><p><strong>mean</strong> - 均值数组地址,长度为 <code class="docutils literal notranslate"><span class="pre">channel</span></code></p></li>
<li><p><strong>variance</strong> - 方差数组地址,长度为 <code class="docutils literal notranslate"><span class="pre">channel</span></code></p></li>
<li><p><strong>unit</strong> - 样本数(或展开后的空间维度)。</p></li>
<li><p><strong>channel</strong> - 通道数。</p></li>
<li><p><strong>epsilon</strong> - 数值稳定因子。</p></li>
<li><p><strong>core_mask</strong> - 核掩码(仅适用于共享存储版本)。</p></li>
</ul>
</dd>
<dt>输出:</dt><dd><ul class="simple">
<li><p><strong>output</strong> - 批归一化后的输出数据地址。</p></li>
</ul>
</dd>
<dt>支持平台:</dt><dd><p><code class="docutils literal notranslate"><span class="pre">FT78NE</span></code>
<code class="docutils literal notranslate"><span class="pre">MT7004</span></code></p>
</dd>
</dl>
<div class="admonition note">
<p class="admonition-title">备注</p>
<ul class="simple">
<li><p>FT78NE 支持 <code class="docutils literal notranslate"><span class="pre">int8</span></code><code class="docutils literal notranslate"><span class="pre">fp32</span></code> 类型</p></li>
<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>
<li><p>当前实现不包含 scale 与 bias仅执行标准化操作</p></li>
</ul>
</div>
<p><strong>共享存储版本:</strong></p>
<dl class="c function">
<dt class="sig sig-object c" id="c.i8_batch_norm_s">
<span class="kt"><span class="pre">void</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">i8_batch_norm_s</span></span></span><span class="sig-paren">(</span><span class="n"><span class="pre">int8_t</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">int8_t</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="p"><span class="pre">*</span></span><span class="n"><span class="pre">mean</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">variance</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">unit</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">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.i8_batch_norm_s" title="永久链接至目标"></a><br /></dt>
<dd></dd></dl>
<dl class="c function">
<dt class="sig sig-object c" id="c.fp_batch_norm_s">
<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_batch_norm_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">output</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">mean</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">variance</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">unit</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">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_batch_norm_s" title="永久链接至目标"></a><br /></dt>
<dd></dd></dl>
<dl class="c function">
<dt class="sig sig-object c" id="c.hp_batch_norm_s">
<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_batch_norm_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">output</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">mean</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">variance</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">unit</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">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_batch_norm_s" title="永久链接至目标"></a><br /></dt>
<dd></dd></dl>
<p><strong>C调用示例</strong></p>
<div class="highlight-c notranslate"><div class="highlight"><pre><span></span><span class="linenos"> 1</span><span class="c1">// FT78NE 示例</span>
<span class="linenos"> 2</span><span class="cp">#include</span><span class="w"> </span><span class="cpf">&lt;stdio.h&gt;</span>
<span class="linenos"> 3</span><span class="cp">#include</span><span class="w"> </span><span class="cpf">&lt;batchnorm.h&gt;</span>
<span class="linenos"> 4</span>
<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>
<span class="linenos"> 6</span><span class="w"> </span><span class="kt">int8_t</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">int8_t</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>
<span class="linenos"> 7</span><span class="w"> </span><span class="kt">int8_t</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">int8_t</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="mh">0xC0000000</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">mean</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>
<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">var</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>
<span class="linenos">10</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">unit</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">128</span><span class="p">;</span>
<span class="linenos">11</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">12</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-5f</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">core_mask</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mh">0xff</span><span class="p">;</span>
<span class="linenos">14</span>
<span class="hll"><span class="linenos">15</span><span class="w"> </span><span class="n">i8_batch_norm_s</span><span class="p">(</span><span class="n">input</span><span class="p">,</span><span class="w"> </span><span class="n">output</span><span class="p">,</span><span class="w"> </span><span class="n">mean</span><span class="p">,</span><span class="w"> </span><span class="n">var</span><span class="p">,</span><span class="w"> </span><span class="n">unit</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">epsilon</span><span class="p">,</span><span class="w"> </span><span class="n">core_mask</span><span class="p">);</span>
</span><span class="linenos">16</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">17</span><span class="p">}</span>
</pre></div>
</div>
<p><strong>私有存储版本:</strong></p>
<dl class="c function">
<dt class="sig sig-object c" id="c.i8_batch_norm_p">
<span class="kt"><span class="pre">void</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">i8_batch_norm_p</span></span></span><span class="sig-paren">(</span><span class="n"><span class="pre">int8_t</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">int8_t</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="p"><span class="pre">*</span></span><span class="n"><span class="pre">mean</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">variance</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">unit</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">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.i8_batch_norm_p" title="永久链接至目标"></a><br /></dt>
<dd></dd></dl>
<dl class="c function">
<dt class="sig sig-object c" id="c.fp_batch_norm_p">
<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_batch_norm_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">output</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">mean</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">variance</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">unit</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">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_batch_norm_p" title="永久链接至目标"></a><br /></dt>
<dd></dd></dl>
<dl class="c function">
<dt class="sig sig-object c" id="c.hp_batch_norm_p">
<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_batch_norm_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">output</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">mean</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">variance</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">unit</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">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_batch_norm_p" title="永久链接至目标"></a><br /></dt>
<dd></dd></dl>
<p><strong>C调用示例</strong></p>
<div class="highlight-c notranslate"><div class="highlight"><pre><span></span><span class="linenos"> 1</span><span class="c1">// FT78NE 示例</span>
<span class="linenos"> 2</span><span class="cp">#include</span><span class="w"> </span><span class="cpf">&lt;stdio.h&gt;</span>
<span class="linenos"> 3</span><span class="cp">#include</span><span class="w"> </span><span class="cpf">&lt;batchnorm.h&gt;</span>
<span class="linenos"> 4</span>
<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>
<span class="linenos"> 6</span><span class="w"> </span><span class="kt">int8_t</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">int8_t</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>
<span class="linenos"> 7</span><span class="w"> </span><span class="kt">int8_t</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">int8_t</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">mean</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">var</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="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">unit</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">128</span><span class="p">;</span>
<span class="linenos">11</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">12</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-5f</span><span class="p">;</span>
<span class="linenos">13</span>
<span class="hll"><span class="linenos">14</span><span class="w"> </span><span class="n">i8_batch_norm_p</span><span class="p">(</span><span class="n">input</span><span class="p">,</span><span class="w"> </span><span class="n">output</span><span class="p">,</span><span class="w"> </span><span class="n">mean</span><span class="p">,</span><span class="w"> </span><span class="n">var</span><span class="p">,</span><span class="w"> </span><span class="n">unit</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">epsilon</span><span class="p">);</span>
</span><span class="linenos">15</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">16</span><span class="p">}</span>
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