SinGen.html 26 KB

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  132. <li class="toctree-l1"><a class="reference internal" href="LCG.html">Linear Congruential Generator</a></li>
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  136. <li class="toctree-l1"><a class="reference internal" href="RealTime.html">Realtime Simulation</a></li>
  137. <li class="toctree-l1"><a class="reference internal" href="LivePlot.html">Live Plotting of Data During the Simulation</a></li>
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  171. <div class="section" id="sine-generator">
  172. <h1>Sine Generator<a class="headerlink" href="#sine-generator" title="Permalink to this headline">¶</a></h1>
  173. <p>A very simple example usage of the framework is to create a CBD model
  174. that implements the equation <code class="code docutils literal notranslate"><span class="pre">y</span> <span class="pre">=</span> <span class="pre">sin(t)</span></code>, where <code class="code docutils literal notranslate"><span class="pre">t</span></code> is
  175. the simulation time and <code class="code docutils literal notranslate"><span class="pre">y</span></code> an output signal we’re interested in.</p>
  176. <p>Luckily, the standard library provides some functionalities to help us
  177. solve this problem. Let’s import two blocks:</p>
  178. <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">CBD.lib.std</span> <span class="kn">import</span> <span class="n">TimeBlock</span><span class="p">,</span> <span class="n">GenericBlock</span>
  179. </pre></div>
  180. </div>
  181. <p>The <a class="reference internal" href="../CBD.lib.std.html#CBD.lib.std.TimeBlock" title="CBD.lib.std.TimeBlock"><code class="xref py py-class docutils literal notranslate"><span class="pre">CBD.lib.std.TimeBlock</span></code></a> will output the current simulation time
  182. every delta timeunits. This block will be used to obtain the <code class="code docutils literal notranslate"><span class="pre">t</span></code>
  183. variable. The <a class="reference internal" href="../CBD.lib.std.html#CBD.lib.std.GenericBlock" title="CBD.lib.std.GenericBlock"><code class="xref py py-class docutils literal notranslate"><span class="pre">CBD.lib.std.GenericBlock</span></code></a> is a generic interface to
  184. Python’s <code class="xref py py-mod docutils literal notranslate"><span class="pre">math</span></code> module. We will use this block to implement the sine
  185. function itself.</p>
  186. <p>Next, we need a container to group these two blocks in. This is done in the
  187. hierarchical <a class="reference internal" href="../CBD.CBD.html#CBD.CBD.CBD" title="CBD.CBD.CBD"><code class="xref py py-class docutils literal notranslate"><span class="pre">CBD.CBD.CBD</span></code></a> class. Let’s call this “grouping” block
  188. <code class="code docutils literal notranslate"><span class="pre">SinGen</span></code> and give it a single output port, named <code class="code docutils literal notranslate"><span class="pre">OUT1</span></code>.</p>
  189. <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">CBD.CBD</span> <span class="kn">import</span> <span class="n">CBD</span>
  190. <span class="k">class</span> <span class="nc">SinGen</span><span class="p">(</span><span class="n">CBD</span><span class="p">):</span>
  191. <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">name</span><span class="o">=</span><span class="s2">&quot;SinGen&quot;</span><span class="p">):</span>
  192. <span class="n">CBD</span><span class="o">.</span><span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">name</span><span class="p">,</span> <span class="n">input_ports</span><span class="o">=</span><span class="p">[],</span> <span class="n">output_ports</span><span class="o">=</span><span class="p">[</span><span class="s2">&quot;OUT1&quot;</span><span class="p">])</span>
  193. <span class="c1"># Add the timer block and let&#39;s call it &#39;time&#39;</span>
  194. <span class="bp">self</span><span class="o">.</span><span class="n">addBlock</span><span class="p">(</span><span class="n">TimeBlock</span><span class="p">(</span><span class="s2">&quot;time&quot;</span><span class="p">))</span>
  195. <span class="c1"># Add the block that computes the actual sine function</span>
  196. <span class="c1"># Let&#39;s call it &#39;sin&#39;</span>
  197. <span class="bp">self</span><span class="o">.</span><span class="n">addBlock</span><span class="p">(</span><span class="n">GenericBlock</span><span class="p">(</span><span class="s2">&quot;sin&quot;</span><span class="p">,</span> <span class="n">block_operator</span><span class="o">=</span><span class="s2">&quot;sin&quot;</span><span class="p">))</span>
  198. <span class="c1"># Connect them together</span>
  199. <span class="bp">self</span><span class="o">.</span><span class="n">addConnection</span><span class="p">(</span><span class="s2">&quot;time&quot;</span><span class="p">,</span> <span class="s2">&quot;sin&quot;</span><span class="p">,</span> <span class="n">output_port_name</span><span class="o">=</span><span class="s1">&#39;OUT1&#39;</span><span class="p">,</span>
  200. <span class="n">input_port_name</span><span class="o">=</span><span class="s1">&#39;IN1&#39;</span><span class="p">)</span>
  201. <span class="c1"># Connect the output port</span>
  202. <span class="bp">self</span><span class="o">.</span><span class="n">addConnection</span><span class="p">(</span><span class="s2">&quot;sin&quot;</span><span class="p">,</span> <span class="s2">&quot;OUT1&quot;</span><span class="p">,</span> <span class="n">output_port_name</span><span class="o">=</span><span class="s1">&#39;OUT1&#39;</span><span class="p">)</span>
  203. <span class="n">sinGen</span> <span class="o">=</span> <span class="n">SinGen</span><span class="p">(</span><span class="s2">&quot;SinGen&quot;</span><span class="p">)</span>
  204. </pre></div>
  205. </div>
  206. <p>Notice how this is semantically equivelent to:</p>
  207. <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">CBD.CBD</span> <span class="kn">import</span> <span class="n">CBD</span>
  208. <span class="n">sinGen</span> <span class="o">=</span> <span class="n">CBD</span><span class="p">(</span><span class="s2">&quot;SinGen&quot;</span><span class="p">,</span> <span class="p">[],</span> <span class="p">[</span><span class="s2">&quot;OUT1&quot;</span><span class="p">])</span>
  209. <span class="n">sinGen</span><span class="o">.</span><span class="n">addBlock</span><span class="p">(</span><span class="n">TimeBlock</span><span class="p">(</span><span class="s2">&quot;time&quot;</span><span class="p">))</span>
  210. <span class="n">sinGen</span><span class="o">.</span><span class="n">addBlock</span><span class="p">(</span><span class="n">GenericBlock</span><span class="p">(</span><span class="s2">&quot;sin&quot;</span><span class="p">,</span> <span class="n">block_operator</span><span class="o">=</span><span class="s2">&quot;sin&quot;</span><span class="p">))</span>
  211. <span class="n">sinGen</span><span class="o">.</span><span class="n">addConnection</span><span class="p">(</span><span class="s2">&quot;time&quot;</span><span class="p">,</span> <span class="s2">&quot;sin&quot;</span><span class="p">,</span> <span class="n">output_port_name</span><span class="o">=</span><span class="s1">&#39;OUT1&#39;</span><span class="p">,</span>
  212. <span class="n">input_port_name</span><span class="o">=</span><span class="s1">&#39;IN1&#39;</span><span class="p">)</span>
  213. <span class="n">sinGen</span><span class="o">.</span><span class="n">addConnection</span><span class="p">(</span><span class="s2">&quot;sin&quot;</span><span class="p">,</span> <span class="s2">&quot;OUT1&quot;</span><span class="p">,</span> <span class="n">output_port_name</span><span class="o">=</span><span class="s1">&#39;OUT1&#39;</span><span class="p">)</span>
  214. </pre></div>
  215. </div>
  216. <p>If we now want to simulate our model for 20 seconds (of simulation-time), we can
  217. simply do:</p>
  218. <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">CBD.simulator</span> <span class="kn">import</span> <span class="n">Simulator</span>
  219. <span class="n">sim</span> <span class="o">=</span> <span class="n">Simulator</span><span class="p">(</span><span class="n">sinGen</span><span class="p">)</span>
  220. <span class="c1"># The termination time can be set as argument to the run call</span>
  221. <span class="n">sim</span><span class="o">.</span><span class="n">run</span><span class="p">(</span><span class="mf">20.0</span><span class="p">)</span>
  222. </pre></div>
  223. </div>
  224. <p>Next, we would like to obtain the accumulated simulation data on the <code class="code docutils literal notranslate"><span class="pre">OUT1</span></code>
  225. output port of the <code class="code docutils literal notranslate"><span class="pre">sinGen</span></code> block, which can be plotted against their iteration
  226. (which is equivalent to the time in this case).</p>
  227. <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">data</span> <span class="o">=</span> <span class="n">sinGen</span><span class="o">.</span><span class="n">getSignal</span><span class="p">(</span><span class="s1">&#39;OUT1&#39;</span><span class="p">)</span>
  228. <span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">=</span> <span class="p">[</span><span class="n">x</span> <span class="k">for</span> <span class="n">x</span><span class="p">,</span> <span class="n">_</span> <span class="ow">in</span> <span class="n">data</span><span class="p">],</span> <span class="p">[</span><span class="n">y</span> <span class="k">for</span> <span class="n">_</span><span class="p">,</span> <span class="n">y</span> <span class="ow">in</span> <span class="n">data</span><span class="p">]</span>
  229. </pre></div>
  230. </div>
  231. <div class="figure">
  232. <img alt="../_images/sin-disc.png" src="../_images/sin-disc.png" />
  233. </div>
  234. <p>Now, this is obviously not the sine wave we know and love. This is because our simulator
  235. only computes at 0, 1, 2, 3… seconds, but not in-between. Let’s change that.</p>
  236. <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">sim</span><span class="o">.</span><span class="n">setDeltaT</span><span class="p">(</span><span class="mf">0.1</span><span class="p">)</span>
  237. </pre></div>
  238. </div>
  239. <p>Now, we interpolate the sine-wave every 10th of a second, which looks much better:</p>
  240. <div class="figure">
  241. <img alt="../_images/sin-cont.png" src="../_images/sin-cont.png" />
  242. </div>
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  248. <a href="EvenNumberGen.html" class="btn btn-neutral float-right" title="Hierarchical Even Number Generator" accesskey="n" rel="next">Next <img src="../_static/images/chevron-right-orange.svg" class="next-page"></a>
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  253. <p>
  254. &copy; Copyright 2020, Randy Paredis.
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  263. <div class="catalyst-content-right" id="catalyst-content-right">
  264. <div class="catalyst-right-menu" id="catalyst-right-menu">
  265. <div class="catalyst-side-scroll" id="catalyst-side-scroll-right">
  266. <ul>
  267. <li><a class="reference internal" href="#">Sine Generator</a></li>
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  295. <div class="footer-links-col">
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  322. <div class="footer-links-col follow-us-col">
  323. <div class="footer-social-icons">
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  337. <div class="mobile-main-menu-header-container">
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  356. <!-- End Mobile Menu -->
  357. <script type="text/javascript" src="../_static/js/vendor/anchor.min.js"></script>
  358. <script type="text/javascript">
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  364. scrollToAnchor.bind();
  365. highlightNavigation.bind();
  366. mainMenuDropdown.bind();
  367. // Add class to links that have code blocks, since we cannot create links in code blocks
  368. $("article.catalyst-article a span.pre").each(function(e) {
  369. $(this).closest("a").addClass("has-code");
  370. });
  371. })
  372. </script>
  373. </body>
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