submit-job.html 23.8 KB
Newer Older
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64


<!DOCTYPE html>
<!--[if IE 8]><html class="no-js lt-ie9" lang="en" > <![endif]-->
<!--[if gt IE 8]><!--> <html class="no-js" lang="en" > <!--<![endif]-->
<head>
  <meta charset="utf-8">
  
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  
  <title>Submit a Distributed Training Job &mdash; PaddlePaddle  文档</title>
  

  
  

  

  
  
    

  

  
  
    <link rel="stylesheet" href="../../_static/css/theme.css" type="text/css" />
  

  
  
        <link rel="index" title="索引"
              href="../../genindex.html"/>
        <link rel="search" title="搜索" href="../../search.html"/>
    <link rel="top" title="PaddlePaddle  文档" href="../../index.html"/> 

  <link rel="stylesheet" href="https://cdn.jsdelivr.net/perfect-scrollbar/0.6.14/css/perfect-scrollbar.min.css" type="text/css" />
  <link rel="stylesheet" href="../../_static/css/override.css" type="text/css" />
  <script>
  var _hmt = _hmt || [];
  (function() {
    var hm = document.createElement("script");
    hm.src = "//hm.baidu.com/hm.js?b9a314ab40d04d805655aab1deee08ba";
    var s = document.getElementsByTagName("script")[0]; 
    s.parentNode.insertBefore(hm, s);
  })();
  </script>

  

  
  <script src="../../_static/js/modernizr.min.js"></script>

</head>

<body class="wy-body-for-nav" role="document">

  
  <header class="site-header">
    <div class="site-logo">
      <a href="/"><img src="../../_static/images/PP_w.png"></a>
    </div>
    <div class="site-nav-links">
      <div class="site-menu">
65
        <a class="fork-on-github" href="https://github.com/PaddlePaddle/Paddle" target="_blank"><i class="fa fa-github"></i>Fork me on Github</a>
66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87
        <div class="language-switcher dropdown">
          <a type="button" data-toggle="dropdown">
            <span>English</span>
            <i class="fa fa-angle-up"></i>
            <i class="fa fa-angle-down"></i>
          </a>
          <ul class="dropdown-menu">
            <li><a href="/doc_cn">中文</a></li>
            <li><a href="/doc">English</a></li>
          </ul>
        </div>
        <ul class="site-page-links">
          <li><a href="/">Home</a></li>
        </ul>
      </div>
      <div class="doc-module">
        
        <ul>
<li class="toctree-l1"><a class="reference internal" href="../../getstarted/index_cn.html">新手入门</a></li>
<li class="toctree-l1"><a class="reference internal" href="../../howto/index_cn.html">进阶指南</a></li>
<li class="toctree-l1"><a class="reference internal" href="../../api/index_cn.html">API</a></li>
<li class="toctree-l1"><a class="reference internal" href="../../faq/index_cn.html">FAQ</a></li>
88
<li class="toctree-l1"><a class="reference internal" href="../../mobile/index_cn.html">MOBILE</a></li>
89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111
</ul>

        
<div role="search">
  <form id="rtd-search-form" class="wy-form" action="../../search.html" method="get">
    <input type="text" name="q" placeholder="Search docs" />
    <input type="hidden" name="check_keywords" value="yes" />
    <input type="hidden" name="area" value="default" />
  </form>
</div>        
      </div>
    </div>
  </header>
  
  <div class="main-content-wrap">

    
    <nav class="doc-menu-vertical" role="navigation">
        
          
          <ul>
<li class="toctree-l1"><a class="reference internal" href="../../getstarted/index_cn.html">新手入门</a><ul>
<li class="toctree-l2"><a class="reference internal" href="../../getstarted/build_and_install/index_cn.html">安装与编译</a><ul>
112 113 114
<li class="toctree-l3"><a class="reference internal" href="../../getstarted/build_and_install/pip_install_cn.html">使用pip安装</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../getstarted/build_and_install/docker_install_cn.html">使用Docker安装运行</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../getstarted/build_and_install/build_from_source_cn.html">从源码编译</a></li>
115 116 117 118 119 120 121 122 123 124 125 126
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="../../getstarted/concepts/use_concepts_cn.html">基本使用概念</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="../../howto/index_cn.html">进阶指南</a><ul>
<li class="toctree-l2"><a class="reference internal" href="../../howto/usage/cmd_parameter/index_cn.html">设置命令行参数</a><ul>
<li class="toctree-l3"><a class="reference internal" href="../../howto/usage/cmd_parameter/use_case_cn.html">使用案例</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../howto/usage/cmd_parameter/arguments_cn.html">参数概述</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../howto/usage/cmd_parameter/detail_introduction_cn.html">细节描述</a></li>
</ul>
</li>
127
<li class="toctree-l2"><a class="reference internal" href="../../howto/usage/cluster/cluster_train_cn.html">PaddlePaddle分布式训练</a></li>
128 129 130 131 132
<li class="toctree-l2"><a class="reference internal" href="../../howto/usage/k8s/k8s_basis_cn.html">Kubernetes 简介</a></li>
<li class="toctree-l2"><a class="reference internal" href="../../howto/usage/k8s/k8s_cn.html">Kubernetes单机训练</a></li>
<li class="toctree-l2"><a class="reference internal" href="../../howto/usage/k8s/k8s_distributed_cn.html">Kubernetes分布式训练</a></li>
<li class="toctree-l2"><a class="reference internal" href="../../howto/dev/write_docs_cn.html">如何贡献/修改文档</a></li>
<li class="toctree-l2"><a class="reference internal" href="../../howto/deep_model/rnn/index_cn.html">RNN相关模型</a><ul>
133
<li class="toctree-l3"><a class="reference internal" href="../../howto/deep_model/rnn/rnn_config_cn.html">RNN配置</a></li>
134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152
<li class="toctree-l3"><a class="reference internal" href="../../howto/deep_model/rnn/recurrent_group_cn.html">Recurrent Group教程</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../howto/deep_model/rnn/hierarchical_layer_cn.html">支持双层序列作为输入的Layer</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../howto/deep_model/rnn/hrnn_rnn_api_compare_cn.html">单双层RNN API对比介绍</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="../../howto/optimization/gpu_profiling_cn.html">GPU性能分析与调优</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="../../api/index_cn.html">API</a><ul>
<li class="toctree-l2"><a class="reference internal" href="../../api/v2/model_configs.html">模型配置</a><ul>
<li class="toctree-l3"><a class="reference internal" href="../../api/v2/config/activation.html">Activation</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../api/v2/config/layer.html">Layers</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../api/v2/config/evaluators.html">Evaluators</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../api/v2/config/optimizer.html">Optimizer</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../api/v2/config/pooling.html">Pooling</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../api/v2/config/networks.html">Networks</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../api/v2/config/attr.html">Parameter Attribute</a></li>
</ul>
</li>
153 154 155 156 157 158
<li class="toctree-l2"><a class="reference internal" href="../../api/v2/data.html">数据访问</a><ul>
<li class="toctree-l3"><a class="reference internal" href="../../api/v2/data/data_reader.html">Data Reader Interface</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../api/v2/data/image.html">Image Interface</a></li>
<li class="toctree-l3"><a class="reference internal" href="../../api/v2/data/dataset.html">Dataset</a></li>
</ul>
</li>
159 160 161
<li class="toctree-l2"><a class="reference internal" href="../../api/v2/run_logic.html">训练与应用</a></li>
</ul>
</li>
162 163 164 165 166 167 168 169
<li class="toctree-l1"><a class="reference internal" href="../../faq/index_cn.html">FAQ</a><ul>
<li class="toctree-l2"><a class="reference internal" href="../../faq/build_and_install/index_cn.html">编译安装与单元测试</a></li>
<li class="toctree-l2"><a class="reference internal" href="../../faq/model/index_cn.html">模型配置</a></li>
<li class="toctree-l2"><a class="reference internal" href="../../faq/parameter/index_cn.html">参数设置</a></li>
<li class="toctree-l2"><a class="reference internal" href="../../faq/local/index_cn.html">本地训练与预测</a></li>
<li class="toctree-l2"><a class="reference internal" href="../../faq/cluster/index_cn.html">集群训练与预测</a></li>
</ul>
</li>
170
<li class="toctree-l1"><a class="reference internal" href="../../mobile/index_cn.html">MOBILE</a><ul>
171 172 173
<li class="toctree-l2"><a class="reference internal" href="../../mobile/cross_compiling_for_android_cn.html">Android平台编译指南</a></li>
<li class="toctree-l2"><a class="reference internal" href="../../mobile/cross_compiling_for_ios_cn.html">iOS平台编译指南</a></li>
<li class="toctree-l2"><a class="reference internal" href="../../mobile/cross_compiling_for_raspberry_cn.html">Raspberry Pi平台编译指南</a></li>
174 175
</ul>
</li>
176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
</ul>

        
    </nav>
    
    <section class="doc-content-wrap">

      

 







<div role="navigation" aria-label="breadcrumbs navigation">
  <ul class="wy-breadcrumbs">
      
    <li>Submit a Distributed Training Job</li>
  </ul>
</div>
      
      <div class="wy-nav-content" id="doc-content">
        <div class="rst-content">
          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
           <div itemprop="articleBody">
            
  <div class="section" id="submit-a-distributed-training-job">
<span id="submit-a-distributed-training-job"></span><h1>Submit a Distributed Training Job<a class="headerlink" href="#submit-a-distributed-training-job" title="永久链接至标题"></a></h1>
<p>The user can submit a distributed training job with Python code, rather than with a command-line interface.</p>
<div class="section" id="runtime-environment-on-kubernetes">
<span id="runtime-environment-on-kubernetes"></span><h2>Runtime Environment On Kubernetes<a class="headerlink" href="#runtime-environment-on-kubernetes" title="永久链接至标题"></a></h2>
<p>For a distributed training job, there is two Docker image called <em>runtime Docker image</em> and <em>base Docker image</em>. The runtime Docker image is the Docker image that gets scheduled by Kubernetes to run during training. The base Docker image is for building the runtime Docker image.</p>
<div class="section" id="base-docker-image">
<span id="base-docker-image"></span><h3>Base Docker Image<a class="headerlink" href="#base-docker-image" title="永久链接至标题"></a></h3>
<p>Usually, the base Docker image is PaddlePaddle product Docker image including paddle binary files and python package. And of course, users can specify any image name hosted on any docker registry which users have the access right.</p>
</div>
<div class="section" id="runtime-docker-image">
<span id="runtime-docker-image"></span><h3>Runtime Docker Image<a class="headerlink" href="#runtime-docker-image" title="永久链接至标题"></a></h3>
<p>The trainer package which user upload and some Python dependencies are packaged into a runtime Docker image based on base Docker image.</p>
<ul>
<li><p class="first">Handle Python Dependencies</p>
<p>You need to provide requirements.txt file in your <code class="docutils literal"><span class="pre">trainer-package</span></code> folder. Example:</p>
<div class="highlight-txt"><div class="highlight"><pre><span></span>pillow
protobuf==3.1.0
</pre></div>
</div>
<p>More <a class="reference external" href="https://pip.readthedocs.io/en/1.1/requirements.html">details</a> about requirements, an example project looks like:</p>
<div class="highlight-bash"><div class="highlight"><pre><span></span>  paddle_example
    <span class="p">|</span>-quick_start
      <span class="p">|</span>-trainer.py
      <span class="p">|</span>-dataset.py
      <span class="p">|</span>-requirements.txt
</pre></div>
</div>
</li>
</ul>
</div>
</div>
<div class="section" id="submit-distributed-training-job-with-python-code">
<span id="submit-distributed-training-job-with-python-code"></span><h2>Submit Distributed Training Job With Python Code<a class="headerlink" href="#submit-distributed-training-job-with-python-code" title="永久链接至标题"></a></h2>
<p><img src="./src/submit-job.png" width="800"></p>
<ul class="simple">
<li><code class="docutils literal"><span class="pre">paddle.job.dist_train()</span></code> will call the Job Server API <code class="docutils literal"><span class="pre">/v1/packages</span></code> to upload the trainer package and save them on CephFS, and then call <code class="docutils literal"><span class="pre">/v1/trainer/job</span></code> to submit the PaddlePaddle distributed job.</li>
<li><code class="docutils literal"><span class="pre">/v1/trainer/job</span></code> will start a building job for preparing the runtime Docker image. When the building job is finished, Job Server will submit the PaddlePaddle distributed job to Kubernetes.</li>
<li><em>NOTE</em>: For the first version, we will not prepare the runtime Docker image, instead, the package is uploaded to Paddle Cloud, and Paddle Cloud will mount the package in a temporary folder into the base Docker image. We will not support custom Python dependencies in the first version as well.</li>
</ul>
<p>You can call <code class="docutils literal"><span class="pre">paddle.job.dist_train</span></code> and provide distributed training configuration as the parameters:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">paddle</span><span class="o">.</span><span class="n">job</span><span class="o">.</span><span class="n">dist_train</span><span class="p">(</span>
  <span class="n">trainer</span><span class="o">=</span><span class="n">dist_trainer</span><span class="p">(),</span>
  <span class="n">paddle_job</span><span class="o">=</span><span class="n">PaddleJob</span><span class="p">(</span>
    <span class="n">job_name</span> <span class="o">=</span> <span class="s2">&quot;paddle-cloud&quot;</span><span class="p">,</span>
    <span class="n">entry_point</span> <span class="o">=</span> <span class="s2">&quot;python </span><span class="si">%s</span><span class="s2">&quot;</span><span class="o">%</span><span class="vm">__file__</span><span class="p">,</span>
    <span class="n">trainer_package</span> <span class="o">=</span> <span class="s2">&quot;/example/word2vec&quot;</span><span class="p">,</span>
    <span class="n">image</span> <span class="o">=</span> <span class="s2">&quot;yancey1989/paddle-job&quot;</span><span class="p">,</span>
    <span class="n">trainers</span> <span class="o">=</span> <span class="mi">10</span><span class="p">,</span>
    <span class="n">pservers</span> <span class="o">=</span> <span class="mi">3</span><span class="p">,</span>
    <span class="n">trainer_cpu</span> <span class="o">=</span> <span class="mi">1</span><span class="p">,</span>
    <span class="n">trainer_gpu</span> <span class="o">=</span> <span class="mi">1</span><span class="p">,</span>
    <span class="n">trainer_mem</span> <span class="o">=</span> <span class="s2">&quot;10G&quot;</span><span class="p">,</span>
    <span class="n">pserver_cpu</span> <span class="o">=</span> <span class="mi">1</span><span class="p">,</span>
    <span class="n">pserver_mem</span> <span class="o">=</span> <span class="s2">&quot;2G&quot;</span>
  <span class="p">))</span>
</pre></div>
</div>
<p>The parameter <code class="docutils literal"><span class="pre">trainer</span></code> of <code class="docutils literal"><span class="pre">paddle.job.dist_train</span></code> is a function and you can implement it as follows:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">dist_trainer</span><span class="p">():</span>
  <span class="k">def</span> <span class="nf">trainer_creator</span><span class="p">():</span>
    <span class="n">trainer</span> <span class="o">=</span> <span class="n">paddle</span><span class="o">.</span><span class="n">v2</span><span class="o">.</span><span class="n">trainer</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="o">...</span><span class="p">)</span>
    <span class="n">trainer</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="o">...</span><span class="p">)</span>
  <span class="k">return</span> <span class="n">trainer_creator</span>
</pre></div>
</div>
<p>The pseudo code of <code class="docutils literal"><span class="pre">paddle.job.dist_train</span></code> is as follows:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">dist_train</span><span class="p">(</span><span class="n">trainer</span><span class="p">,</span> <span class="n">paddle_job</span><span class="p">):</span>
  <span class="c1"># if the code is running on cloud, set PADDLE_ON_CLOUD=YES</span>
  <span class="k">if</span> <span class="n">os</span><span class="o">.</span><span class="n">getenv</span><span class="p">(</span><span class="s2">&quot;RUNNING_ON_CLOUD&quot;</span><span class="p">,</span> <span class="s2">&quot;NO&quot;</span><span class="p">)</span> <span class="o">==</span> <span class="s2">&quot;NO&quot;</span><span class="p">:</span>
    <span class="c1">#submit the paddle job</span>
    <span class="n">paddle_job</span><span class="o">.</span><span class="n">submit</span><span class="p">()</span>
  <span class="k">else</span><span class="p">:</span>
    <span class="c1">#start the training</span>
    <span class="n">trainer</span><span class="p">()</span>
</pre></div>
</div>
<div class="section" id="paddlejob-parameters">
<span id="paddlejob-parameters"></span><h3>PaddleJob Parameters<a class="headerlink" href="#paddlejob-parameters" title="永久链接至标题"></a></h3>
<p>parameter | type | explanation
&#8212; | &#8212; | &#8212;
job_name | str | the unique name for the training job
entry_point | str | entry point for startup trainer process
trainer_package | str | trainer package file path which user have the access right
image|str|the <a class="reference external" href="#base-docker-image">base image</a> for building the <a class="reference external" href="#runtime-docker-image">runtime image</a>
pservers|int| Parameter Server process count
trainers|int| Trainer process count
pserver_cpu|int| CPU count for each Parameter Server process
pserver_mem|str| memory allocated for each Parameter Server process, a plain integer using one of these suffixes: E, P, T, G, M, K
trainer_cpu|int| CPU count for each Trainer process
trainer_mem|str| memory allocated for each Trainer process, a plain integer using one of these suffixes: E, P, T, G, M, K
trainer_gpu|int| GPU count for each Trainer process, if you only want CPU, do not set this parameter</p>
</div>
<div class="section" id="deploy-parameter-server-trainer-and-master-process">
<span id="deploy-parameter-server-trainer-and-master-process"></span><h3>Deploy Parameter Server, Trainer and Master Process<a class="headerlink" href="#deploy-parameter-server-trainer-and-master-process" title="永久链接至标题"></a></h3>
<ul class="simple">
<li>Deploy PaddlePaddle Parameter Server processes, it&#8217;s a Kubernetes ReplicaSet.</li>
<li>Deploy PaddlePaddle Trainer processes, it&#8217;s a Kubernetes Job.</li>
<li>Deploy PaddlePaddle Master processes, it&#8217;s a Kubernetes ReplicaSet.</li>
</ul>
</div>
</div>
<div class="section" id="job-server">
<span id="job-server"></span><h2>Job Server<a class="headerlink" href="#job-server" title="永久链接至标题"></a></h2>
<ul>
<li><p class="first">RESTful API</p>
<p>Job server provides RESTful HTTP API for receiving the trainer package and displaying
PaddlePaddle job related informations.</p>
<ul class="simple">
<li><code class="docutils literal"><span class="pre">POST</span> <span class="pre">/v1/package</span></code> receive the trainer package and save them on CephFS</li>
<li><code class="docutils literal"><span class="pre">POST</span> <span class="pre">/v1/trainer/job</span></code> submit a trainer job</li>
<li><code class="docutils literal"><span class="pre">GET</span> <span class="pre">/v1/jobs/</span></code> list all jobs</li>
<li><code class="docutils literal"><span class="pre">GET</span> <span class="pre">/v1/jobs/&lt;job-name&gt;</span></code> the status of a job</li>
<li><code class="docutils literal"><span class="pre">DELETE</span> <span class="pre">/v1/jobs/&lt;job-name&gt;</span></code> delete a job</li>
<li><code class="docutils literal"><span class="pre">GET</span> <span class="pre">/v1/version</span></code> job server version</li>
</ul>
</li>
<li><p class="first">Build Runtime Docker Image on Kubernetes</p>
<p><code class="docutils literal"><span class="pre">paddle.job.dist_train</span></code> will upload the trainer package to Job Server, save them on the distributed filesystem, and then start up a job for building the runtime Docker image that gets scheduled by Kubernetes to run during training.</p>
<p>There are some benefits for building runtime Docker image on JobServer:</p>
<ul class="simple">
<li>On Paddle Cloud, users will run the trainer code in a Jupyter Notebook which is a Kubernetes Pod, if we want to execute <code class="docutils literal"><span class="pre">docker</span> <span class="pre">build</span></code> in the Pod, we should mount the host&#8217;s <code class="docutils literal"><span class="pre">docker.sock</span></code> to the Pod, user&#8217;s code will connect the host&#8217;s Docker Engine directly, it&#8217;s not safe.</li>
<li>Users only need to upload the training package files, does not need to install docker engine, docker registry as dependencies.</li>
<li>If we want to change another image type, such as RKT, users do not need to care about it.</li>
</ul>
</li>
<li><p class="first">Deploy Parameter Server, Trainer and Master Processes</p>
<p><code class="docutils literal"><span class="pre">POST</span> <span class="pre">/v1/trainer/job</span></code> receives the distributed training parameters, and deploy the job as follows:</p>
<ul class="simple">
<li>Deploy PaddlePaddle Parameter Server processes, it&#8217;s a Kubernetes ReplicaSet.</li>
<li>Deploy PaddlePaddle Trainer processes, it&#8217;s a Kubernetes Job.</li>
<li>Deploy PaddlePaddle Master processes, it&#8217;s a Kubernetes ReplicaSet.</li>
</ul>
</li>
</ul>
</div>
</div>


           </div>
          </div>
          <footer>
  

  <hr/>

  <div role="contentinfo">
    <p>
        &copy; Copyright 2016, PaddlePaddle developers.

    </p>
  </div>
  Built with <a href="http://sphinx-doc.org/">Sphinx</a> using a <a href="https://github.com/snide/sphinx_rtd_theme">theme</a> provided by <a href="https://readthedocs.org">Read the Docs</a>. 

</footer>

        </div>
      </div>

    </section>

  </div>
  


  

    <script type="text/javascript">
        var DOCUMENTATION_OPTIONS = {
            URL_ROOT:'../../',
            VERSION:'',
            COLLAPSE_INDEX:false,
            FILE_SUFFIX:'.html',
            HAS_SOURCE:  true,
            SOURCELINK_SUFFIX: ".txt",
        };
    </script>
      <script type="text/javascript" src="../../_static/jquery.js"></script>
      <script type="text/javascript" src="../../_static/underscore.js"></script>
      <script type="text/javascript" src="../../_static/doctools.js"></script>
      <script type="text/javascript" src="../../_static/translations.js"></script>
      <script type="text/javascript" src="https://cdn.bootcss.com/mathjax/2.7.0/MathJax.js"></script>
       
  

  
  
    <script type="text/javascript" src="../../_static/js/theme.js"></script>
  
  
  <script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha384-Tc5IQib027qvyjSMfHjOMaLkfuWVxZxUPnCJA7l2mCWNIpG9mGCD8wGNIcPD7Txa" crossorigin="anonymous"></script>
  <script src="https://cdn.jsdelivr.net/perfect-scrollbar/0.6.14/js/perfect-scrollbar.jquery.min.js"></script>
  <script src="../../_static/js/paddle_doc_init.js"></script> 

</body>
</html>