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  44. 

  45.     <div class="document">
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  50.   <div class="section" id="module-pypdevsbbl.generic.math">
    51. 

  51. <span id="pypdevsbbl-generic-math-module"></span><h1>pypdevsbbl.generic.math module<a class="headerlink" href="#module-pypdevsbbl.generic.math" title="Permalink to this headline">¶</a></h1>
    52. 

  52. <p>Set of PythonPDEVS building blocks for doing math.</p>
    53. 

  53. <p>The core of this module is the <a class="reference internal" href="#pypdevsbbl.generic.math.Equation" title="pypdevsbbl.generic.math.Equation"><code class="xref py py-class docutils literal notranslate"><span class="pre">Equation</span></code></a> block,
    54. 

  54. which allows a user to execute a function on a set of
    55. 

  55. inputs.</p>
    56. 

  56. <p>Additionally, some few blocks with a variable set of inputs
    57. 

  57. (like the sum and the product) will provide the remaining
    58. 

  58. functionality.</p>
    59. 

  59. <dl class="class">
    60. 

  60. <dt id="pypdevsbbl.generic.math._SP">
    61. 

  61. <em class="property">class </em><code class="descclassname">pypdevsbbl.generic.math.</code><code class="descname">_SP</code><span class="sig-paren">(</span><em>name</em>, <em>n</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_SP"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._SP" title="Permalink to this definition">¶</a></dt>
    62. 

  62. <dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">pypdevs.DEVS.AtomicDEVS</span></code></p>
    63. 

  63. <p>Superclass for the <a class="reference internal" href="#pypdevsbbl.generic.math.Adder" title="pypdevsbbl.generic.math.Adder"><code class="xref py py-class docutils literal notranslate"><span class="pre">Adder</span></code></a> and <a class="reference internal" href="#pypdevsbbl.generic.math.Multiplier" title="pypdevsbbl.generic.math.Multiplier"><code class="xref py py-class docutils literal notranslate"><span class="pre">Multiplier</span></code></a> blocks.</p>
    64. 

  64. <div class="admonition warning">
    65. 

  65. <p class="first admonition-title">Warning</p>
    66. 

  66. <p class="last">This class should not be used as a block by itself.</p>
    67. 

  67. </div>
    68. 

  68. <table class="docutils field-list" frame="void" rules="none">
    69. 

  69. <col class="field-name" />
    70. 

  70. <col class="field-body" />
    71. 

  71. <tbody valign="top">
    72. 

  72. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    73. 

  73. <li><strong>name</strong> (<em>str</em>) – The name of the block.</li>
    74. 

  74. <li><strong>n</strong> (<em>int</em>) – The amount of input ports the block must have.
    75. 

  75. These ports are accessible from the <code class="xref py py-attr docutils literal notranslate"><span class="pre">inputs</span></code>
    76. 

  76. list, using a 0-based index.</li>
    77. 

  77. </ul>
    78. 

  78. </td>
    79. 

  79. </tr>
    80. 

  80. <tr class="field-even field"><th class="field-name">State:</th><td class="field-body"><ul class="first simple">
    81. 

  81. <li><strong>result</strong> (<em>numeric</em>) – The computed result of the block.</li>
    82. 

  82. <li><strong>input-n</strong> (<em>numeric</em>) – The value of the <cite>n</cite> th input port.</li>
    83. 

  83. </ul>
    84. 

  84. </td>
    85. 

  85. </tr>
    86. 

  86. <tr class="field-odd field"><th class="field-name">Input Ports:</th><td class="field-body"><p class="first"><strong>inputs</strong> (<em>list</em>) – The list of all the input ports.</p>
    87. 

  87. </td>
    88. 

  88. </tr>
    89. 

  89. <tr class="field-even field"><th class="field-name">Output Ports:</th><td class="field-body"><p class="first last"><strong>result</strong> (<em>numeric</em>) – The result of the computation.</p>
    90. 

  90. </td>
    91. 

  91. </tr>
    92. 

  92. </tbody>
    93. 

  93. </table>
    94. 

  94. <dl class="method">
    95. 

  95. <dt id="pypdevsbbl.generic.math._SP.operation">
    96. 

  96. <code class="descname">operation</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_SP.operation"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._SP.operation" title="Permalink to this definition">¶</a></dt>
    97. 

  97. <dd><p>The operation that needs to be computed upon arrival of any value.</p>
    98. 

  98. </dd></dl>
    99. 

  99. 

  100. <dl class="method">
    101. 

  101. <dt id="pypdevsbbl.generic.math._SP.timeAdvance">
    102. 

  102. <code class="descname">timeAdvance</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_SP.timeAdvance"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._SP.timeAdvance" title="Permalink to this definition">¶</a></dt>
    103. 

  103. <dd></dd></dl>
    104. 

  104. 

  105. <dl class="method">
    106. 

  106. <dt id="pypdevsbbl.generic.math._SP.outputFnc">
    107. 

  107. <code class="descname">outputFnc</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_SP.outputFnc"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._SP.outputFnc" title="Permalink to this definition">¶</a></dt>
    108. 

  108. <dd></dd></dl>
    109. 

  109. 

  110. <dl class="method">
    111. 

  111. <dt id="pypdevsbbl.generic.math._SP.intTransition">
    112. 

  112. <code class="descname">intTransition</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_SP.intTransition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._SP.intTransition" title="Permalink to this definition">¶</a></dt>
    113. 

  113. <dd></dd></dl>
    114. 

  114. 

  115. <dl class="method">
    116. 

  116. <dt id="pypdevsbbl.generic.math._SP.extTransition">
    117. 

  117. <code class="descname">extTransition</code><span class="sig-paren">(</span><em>inputs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_SP.extTransition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._SP.extTransition" title="Permalink to this definition">¶</a></dt>
    118. 

  118. <dd></dd></dl>
    119. 

  119. 

  120. </dd></dl>
    121. 

  121. 

  122. <dl class="class">
    123. 

  123. <dt id="pypdevsbbl.generic.math.Adder">
    124. 

  124. <em class="property">class </em><code class="descclassname">pypdevsbbl.generic.math.</code><code class="descname">Adder</code><span class="sig-paren">(</span><em>name</em>, <em>n</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Adder"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Adder" title="Permalink to this definition">¶</a></dt>
    125. 

  125. <dd><p>Bases: <a class="reference internal" href="#pypdevsbbl.generic.math._SP" title="pypdevsbbl.generic.math._SP"><code class="xref py py-class docutils literal notranslate"><span class="pre">pypdevsbbl.generic.math._SP</span></code></a></p>
    126. 

  126. <p>Computes the sum of a set of inputs.</p>
    127. 

  127. <div align="center" class="align-center"><img alt="_images/adder.svg" src="_images/adder.svg" /></div>
    128. 

  128. <table class="docutils field-list" frame="void" rules="none">
    129. 

  129. <col class="field-name" />
    130. 

  130. <col class="field-body" />
    131. 

  131. <tbody valign="top">
    132. 

  132. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    133. 

  133. <li><strong>name</strong> (<em>str</em>) – The name of the block.</li>
    134. 

  134. <li><strong>n</strong> (<em>int</em>) – The amount of input ports the block must have.
    135. 

  135. These ports are accessible from the <code class="xref py py-attr docutils literal notranslate"><span class="pre">inputs</span></code>
    136. 

  136. list, using a 0-based index.</li>
    137. 

  137. </ul>
    138. 

  138. </td>
    139. 

  139. </tr>
    140. 

  140. <tr class="field-even field"><th class="field-name">State:</th><td class="field-body"><ul class="first simple">
    141. 

  141. <li><strong>result</strong> (<em>numeric</em>) – The computed result of the block.</li>
    142. 

  142. <li><strong>input-n</strong> (<em>numeric</em>) – The value of the <cite>n</cite> th input port.</li>
    143. 

  143. </ul>
    144. 

  144. </td>
    145. 

  145. </tr>
    146. 

  146. <tr class="field-odd field"><th class="field-name">Input Ports:</th><td class="field-body"><p class="first"><strong>inputs</strong> (<em>list</em>) – The list of all the input ports.</p>
    147. 

  147. </td>
    148. 

  148. </tr>
    149. 

  149. <tr class="field-even field"><th class="field-name">Output Ports:</th><td class="field-body"><p class="first last"><strong>result</strong> (<em>numeric</em>) – The result of the computation.</p>
    150. 

  150. </td>
    151. 

  151. </tr>
    152. 

  152. </tbody>
    153. 

  153. </table>
    154. 

  154. <dl class="method">
    155. 

  155. <dt id="pypdevsbbl.generic.math.Adder.operation">
    156. 

  156. <code class="descname">operation</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Adder.operation"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Adder.operation" title="Permalink to this definition">¶</a></dt>
    157. 

  157. <dd><p>The actual sum operation.</p>
    158. 

  158. </dd></dl>
    159. 

  159. 

  160. </dd></dl>
    161. 

  161. 

  162. <dl class="class">
    163. 

  163. <dt id="pypdevsbbl.generic.math.Multiplier">
    164. 

  164. <em class="property">class </em><code class="descclassname">pypdevsbbl.generic.math.</code><code class="descname">Multiplier</code><span class="sig-paren">(</span><em>name</em>, <em>n</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Multiplier"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Multiplier" title="Permalink to this definition">¶</a></dt>
    165. 

  165. <dd><p>Bases: <a class="reference internal" href="#pypdevsbbl.generic.math._SP" title="pypdevsbbl.generic.math._SP"><code class="xref py py-class docutils literal notranslate"><span class="pre">pypdevsbbl.generic.math._SP</span></code></a></p>
    166. 

  166. <p>Computes the product of a set of inputs.</p>
    167. 

  167. <div align="center" class="align-center"><img alt="_images/multiplier.svg" src="_images/multiplier.svg" /></div>
    168. 

  168. <table class="docutils field-list" frame="void" rules="none">
    169. 

  169. <col class="field-name" />
    170. 

  170. <col class="field-body" />
    171. 

  171. <tbody valign="top">
    172. 

  172. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    173. 

  173. <li><strong>name</strong> (<em>str</em>) – The name of the block.</li>
    174. 

  174. <li><strong>n</strong> (<em>int</em>) – The amount of input ports the block must have.
    175. 

  175. These ports are accessible from the <code class="xref py py-attr docutils literal notranslate"><span class="pre">inputs</span></code>
    176. 

  176. list, using a 0-based index.</li>
    177. 

  177. </ul>
    178. 

  178. </td>
    179. 

  179. </tr>
    180. 

  180. <tr class="field-even field"><th class="field-name">State:</th><td class="field-body"><ul class="first simple">
    181. 

  181. <li><strong>result</strong> (<em>numeric</em>) – The computed result of the block.</li>
    182. 

  182. <li><strong>input-n</strong> (<em>numeric</em>) – The value of the <cite>n</cite> th input port.</li>
    183. 

  183. </ul>
    184. 

  184. </td>
    185. 

  185. </tr>
    186. 

  186. <tr class="field-odd field"><th class="field-name">Input Ports:</th><td class="field-body"><p class="first"><strong>inputs</strong> (<em>list</em>) – The list of all the input ports.</p>
    187. 

  187. </td>
    188. 

  188. </tr>
    189. 

  189. <tr class="field-even field"><th class="field-name">Output Ports:</th><td class="field-body"><p class="first last"><strong>result</strong> (<em>numeric</em>) – The result of the computation.</p>
    190. 

  190. </td>
    191. 

  191. </tr>
    192. 

  192. </tbody>
    193. 

  193. </table>
    194. 

  194. <dl class="method">
    195. 

  195. <dt id="pypdevsbbl.generic.math.Multiplier.operation">
    196. 

  196. <code class="descname">operation</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Multiplier.operation"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Multiplier.operation" title="Permalink to this definition">¶</a></dt>
    197. 

  197. <dd><p>The actual product operation.</p>
    198. 

  198. </dd></dl>
    199. 

  199. 

  200. </dd></dl>
    201. 

  201. 

  202. <dl class="class">
    203. 

  203. <dt id="pypdevsbbl.generic.math.Equation">
    204. 

  204. <em class="property">class </em><code class="descclassname">pypdevsbbl.generic.math.</code><code class="descname">Equation</code><span class="sig-paren">(</span><em>name</em>, <em>function</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Equation"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Equation" title="Permalink to this definition">¶</a></dt>
    205. 

  205. <dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">pypdevs.DEVS.AtomicDEVS</span></code></p>
    206. 

  206. <p>Execute an equation on a set of inputs.</p>
    207. 

  207. <p>The input ports of this block are determined by the arguments of
    208. 

  208. the passed <code class="xref py py-attr docutils literal notranslate"><span class="pre">function</span></code>. Whenever a change happens on these
    209. 

  209. ports and both have values, their result is outputted on the
    210. 

  210. <cite>result</cite> port.</p>
    211. 

  211. <div class="admonition warning">
    212. 

  212. <p class="first admonition-title">Warning</p>
    213. 

  213. <ul class="last simple">
    214. 

  214. <li>The <code class="xref py py-attr docutils literal notranslate"><span class="pre">function</span></code> cannot have a <code class="docutils literal notranslate"><span class="pre">result</span></code> parameter to
    215. 

  215. prevent ambiguity with the output port.</li>
    216. 

  216. <li>The <code class="xref py py-attr docutils literal notranslate"><span class="pre">function</span></code> <strong>must not</strong> change the values of the
    217. 

  217. inputs.</li>
    218. 

  218. <li>This block is optimized for numerical equations, yet it is
    219. 

  219. (because of <em>Python</em>) perfectly possible to use some other
    220. 

  220. attributes.</li>
    221. 

  221. </ul>
    222. 

  222. </div>
    223. 

  223. <div class="admonition seealso">
    224. 

  224. <p class="first admonition-title">See also</p>
    225. 

  225. <p class="last"><a class="reference internal" href="pypdevsbbl.extra.equations.html#module-pypdevsbbl.extra.equations" title="pypdevsbbl.extra.equations"><code class="xref py py-mod docutils literal notranslate"><span class="pre">pypdevsbbl.extra.equations</span></code></a> for a set of predefined equations which
    226. 

  226. can be used as a function without too much thought.</p>
    227. 

  227. </div>
    228. 

  228. <div align="center" class="align-center"><img alt="_images/equation.svg" src="_images/equation.svg" /></div>
    229. 

  229. <table class="docutils field-list" frame="void" rules="none">
    230. 

  230. <col class="field-name" />
    231. 

  231. <col class="field-body" />
    232. 

  232. <tbody valign="top">
    233. 

  233. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    234. 

  234. <li><strong>name</strong> (<em>str</em>) – The name of the block.</li>
    235. 

  235. <li><strong>function</strong> (<em>def</em>) – The function that needs to be executed. Note that
    236. 

  236. defaults can be used, but the <code class="docutils literal notranslate"><span class="pre">*args</span></code> and
    237. 

  237. <code class="docutils literal notranslate"><span class="pre">**kwargs</span></code> information will be ignored.</li>
    238. 

  238. </ul>
    239. 

  239. </td>
    240. 

  240. </tr>
    241. 

  241. <tr class="field-even field"><th class="field-name">Input Ports:</th><td class="field-body"><p class="first">Depends on the <code class="xref py py-attr docutils literal notranslate"><span class="pre">function</span></code> that was passed.
    242. 

  242. Say the <code class="xref py py-attr docutils literal notranslate"><span class="pre">function</span></code> has two arguments: <code class="docutils literal notranslate"><span class="pre">a</span></code>
    243. 

  243. and <code class="docutils literal notranslate"><span class="pre">b</span></code>, the input ports are also <cite>a</cite> and <cite>b</cite>.</p>
    244. 

  244. </td>
    245. 

  245. </tr>
    246. 

  246. <tr class="field-odd field"><th class="field-name">Output Ports:</th><td class="field-body"><p class="first last"><strong>result</strong> (<em>any</em>) – The output of the provided equation.</p>
    247. 

  247. </td>
    248. 

  248. </tr>
    249. 

  249. </tbody>
    250. 

  250. </table>
    251. 

  251. <dl class="method">
    252. 

  252. <dt id="pypdevsbbl.generic.math.Equation.timeAdvance">
    253. 

  253. <code class="descname">timeAdvance</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Equation.timeAdvance"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Equation.timeAdvance" title="Permalink to this definition">¶</a></dt>
    254. 

  254. <dd></dd></dl>
    255. 

  255. 

  256. <dl class="method">
    257. 

  257. <dt id="pypdevsbbl.generic.math.Equation.outputFnc">
    258. 

  258. <code class="descname">outputFnc</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Equation.outputFnc"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Equation.outputFnc" title="Permalink to this definition">¶</a></dt>
    259. 

  259. <dd></dd></dl>
    260. 

  260. 

  261. <dl class="method">
    262. 

  262. <dt id="pypdevsbbl.generic.math.Equation.intTransition">
    263. 

  263. <code class="descname">intTransition</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Equation.intTransition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Equation.intTransition" title="Permalink to this definition">¶</a></dt>
    264. 

  264. <dd></dd></dl>
    265. 

  265. 

  266. <dl class="method">
    267. 

  267. <dt id="pypdevsbbl.generic.math.Equation.extTransition">
    268. 

  268. <code class="descname">extTransition</code><span class="sig-paren">(</span><em>inputs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Equation.extTransition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Equation.extTransition" title="Permalink to this definition">¶</a></dt>
    269. 

  269. <dd></dd></dl>
    270. 

  270. 

  271. </dd></dl>
    272. 

  272. 

  273. <dl class="class">
    274. 

  274. <dt id="pypdevsbbl.generic.math._DI">
    275. 

  275. <em class="property">class </em><code class="descclassname">pypdevsbbl.generic.math.</code><code class="descname">_DI</code><span class="sig-paren">(</span><em>name</em>, <em>ic=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_DI"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._DI" title="Permalink to this definition">¶</a></dt>
    276. 

  276. <dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">pypdevs.DEVS.AtomicDEVS</span></code></p>
    277. 

  277. <p>Superclass of the <a class="reference internal" href="#pypdevsbbl.generic.math.Differentiator" title="pypdevsbbl.generic.math.Differentiator"><code class="xref py py-class docutils literal notranslate"><span class="pre">Differentiator</span></code></a> and <a class="reference internal" href="#pypdevsbbl.generic.math.Integrator" title="pypdevsbbl.generic.math.Integrator"><code class="xref py py-class docutils literal notranslate"><span class="pre">Integrator</span></code></a> blocks.</p>
    278. 

  278. <div class="admonition warning">
    279. 

  279. <p class="first admonition-title">Warning</p>
    280. 

  280. <p class="last">This class should not be used as a block by itself.</p>
    281. 

  281. </div>
    282. 

  282. <table class="docutils field-list" frame="void" rules="none">
    283. 

  283. <col class="field-name" />
    284. 

  284. <col class="field-body" />
    285. 

  285. <tbody valign="top">
    286. 

  286. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    287. 

  287. <li><strong>name</strong> (<em>str</em>) – The name of the block.</li>
    288. 

  288. <li><strong>ic</strong> (<em>numeric</em>) – The initial condition of the block. Defaults to 0.</li>
    289. 

  289. </ul>
    290. 

  290. </td>
    291. 

  291. </tr>
    292. 

  292. <tr class="field-even field"><th class="field-name">State:</th><td class="field-body"><ul class="first simple">
    293. 

  293. <li><strong>prev</strong> (<em>numeric</em>) – The previous value. Defaults to the initial condition.</li>
    294. 

  294. <li><strong>v</strong> (<em>numeric</em>) – The current value.</li>
    295. 

  295. </ul>
    296. 

  296. </td>
    297. 

  297. </tr>
    298. 

  298. <tr class="field-odd field"><th class="field-name">Input Ports:</th><td class="field-body"><p class="first"><strong>input</strong> (<em>numeric</em>) – The new value.</p>
    299. 

  299. </td>
    300. 

  300. </tr>
    301. 

  301. <tr class="field-even field"><th class="field-name">Output Ports:</th><td class="field-body"><p class="first last"><strong>result</strong> (<em>numeric</em>) – The differential.</p>
    302. 

  302. </td>
    303. 

  303. </tr>
    304. 

  304. </tbody>
    305. 

  305. </table>
    306. 

  306. <dl class="method">
    307. 

  307. <dt id="pypdevsbbl.generic.math._DI.timeAdvance">
    308. 

  308. <code class="descname">timeAdvance</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_DI.timeAdvance"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._DI.timeAdvance" title="Permalink to this definition">¶</a></dt>
    309. 

  309. <dd></dd></dl>
    310. 

  310. 

  311. <dl class="method">
    312. 

  312. <dt id="pypdevsbbl.generic.math._DI.outputFnc">
    313. 

  313. <code class="descname">outputFnc</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_DI.outputFnc"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._DI.outputFnc" title="Permalink to this definition">¶</a></dt>
    314. 

  314. <dd></dd></dl>
    315. 

  315. 

  316. <dl class="method">
    317. 

  317. <dt id="pypdevsbbl.generic.math._DI.intTransition">
    318. 

  318. <code class="descname">intTransition</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_DI.intTransition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._DI.intTransition" title="Permalink to this definition">¶</a></dt>
    319. 

  319. <dd></dd></dl>
    320. 

  320. 

  321. <dl class="method">
    322. 

  322. <dt id="pypdevsbbl.generic.math._DI.extTransition">
    323. 

  323. <code class="descname">extTransition</code><span class="sig-paren">(</span><em>inputs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#_DI.extTransition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math._DI.extTransition" title="Permalink to this definition">¶</a></dt>
    324. 

  324. <dd></dd></dl>
    325. 

  325. 

  326. </dd></dl>
    327. 

  327. 

  328. <dl class="class">
    329. 

  329. <dt id="pypdevsbbl.generic.math.Differentiator">
    330. 

  330. <em class="property">class </em><code class="descclassname">pypdevsbbl.generic.math.</code><code class="descname">Differentiator</code><span class="sig-paren">(</span><em>name</em>, <em>ic=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Differentiator"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Differentiator" title="Permalink to this definition">¶</a></dt>
    331. 

  331. <dd><p>Bases: <a class="reference internal" href="#pypdevsbbl.generic.math._DI" title="pypdevsbbl.generic.math._DI"><code class="xref py py-class docutils literal notranslate"><span class="pre">pypdevsbbl.generic.math._DI</span></code></a></p>
    332. 

  332. <p>Differentiates the input over time.</p>
    333. 

  333. <p>This block will make use of the backwards difference:</p>
    334. 

  334. <p><span class="math notranslate nohighlight">\(\dfrac{d}{dt}f(t) = \lim_{\Delta t\to 0}\dfrac{f(t) - f(t - \Delta t)}{\Delta t}             = \dfrac{x_i - x_{i-1}}{\Delta t}\)</span></p>
    335. 

  335. <div align="center" class="align-center"><img alt="_images/differentiator.svg" src="_images/differentiator.svg" /></div>
    336. 

  336. <table class="docutils field-list" frame="void" rules="none">
    337. 

  337. <col class="field-name" />
    338. 

  338. <col class="field-body" />
    339. 

  339. <tbody valign="top">
    340. 

  340. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    341. 

  341. <li><strong>name</strong> (<em>str</em>) – The name of the block.</li>
    342. 

  342. <li><strong>ic</strong> (<em>numeric</em>) – The initial condition of the block. Defaults to 0.</li>
    343. 

  343. </ul>
    344. 

  344. </td>
    345. 

  345. </tr>
    346. 

  346. <tr class="field-even field"><th class="field-name">State:</th><td class="field-body"><ul class="first simple">
    347. 

  347. <li><strong>prev</strong> (<em>numeric</em>) – The previous value of the differential. Defaults to the initial condition.</li>
    348. 

  348. <li><strong>v</strong> (<em>numeric</em>) – The current differential.</li>
    349. 

  349. </ul>
    350. 

  350. </td>
    351. 

  351. </tr>
    352. 

  352. <tr class="field-odd field"><th class="field-name">Input Ports:</th><td class="field-body"><p class="first"><strong>input</strong> (<em>numeric</em>) – The new value.</p>
    353. 

  353. </td>
    354. 

  354. </tr>
    355. 

  355. <tr class="field-even field"><th class="field-name">Output Ports:</th><td class="field-body"><p class="first last"><strong>result</strong> (<em>numeric</em>) – The differential.</p>
    356. 

  356. </td>
    357. 

  357. </tr>
    358. 

  358. </tbody>
    359. 

  359. </table>
    360. 

  360. <dl class="method">
    361. 

  361. <dt id="pypdevsbbl.generic.math.Differentiator.extTransition">
    362. 

  362. <code class="descname">extTransition</code><span class="sig-paren">(</span><em>inputs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Differentiator.extTransition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Differentiator.extTransition" title="Permalink to this definition">¶</a></dt>
    363. 

  363. <dd></dd></dl>
    364. 

  364. 

  365. </dd></dl>
    366. 

  366. 

  367. <dl class="class">
    368. 

  368. <dt id="pypdevsbbl.generic.math.Integrator">
    369. 

  369. <em class="property">class </em><code class="descclassname">pypdevsbbl.generic.math.</code><code class="descname">Integrator</code><span class="sig-paren">(</span><em>name</em>, <em>ic=0</em>, <em>method=&lt;function Integrator.INTEGRAL_TRAPEZOID&gt;</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Integrator"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Integrator" title="Permalink to this definition">¶</a></dt>
    370. 

  370. <dd><p>Bases: <a class="reference internal" href="#pypdevsbbl.generic.math._DI" title="pypdevsbbl.generic.math._DI"><code class="xref py py-class docutils literal notranslate"><span class="pre">pypdevsbbl.generic.math._DI</span></code></a></p>
    371. 

  371. <p>Integrates the input over time.</p>
    372. 

  372. <p><span class="math notranslate nohighlight">\(v(t) = {\displaystyle \int} f(\tau)\ d\tau = ic + {\displaystyle \int_0^t} f(\tau)\ d\tau =             v(t - \Delta t) + {\displaystyle \int_{t - \Delta t}^t} f(\tau)\ d\tau\)</span></p>
    373. 

  373. <div align="center" class="align-center"><img alt="_images/integrator.svg" src="_images/integrator.svg" /></div>
    374. 

  374. <table class="docutils field-list" frame="void" rules="none">
    375. 

  375. <col class="field-name" />
    376. 

  376. <col class="field-body" />
    377. 

  377. <tbody valign="top">
    378. 

  378. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    379. 

  379. <li><strong>name</strong> (<em>str</em>) – The name of the block.</li>
    380. 

  380. <li><strong>ic</strong> (<em>numeric</em>) – The initial condition of the block. Defaults to 0.</li>
    381. 

  381. <li><strong>method</strong> (<em>def</em>) – A function to determine the computation of the integral.
    382. 

  382. It’s preferrably one of <a class="reference internal" href="#pypdevsbbl.generic.math.Integrator.INTEGRAL_LOWER" title="pypdevsbbl.generic.math.Integrator.INTEGRAL_LOWER"><code class="xref py py-meth docutils literal notranslate"><span class="pre">INTEGRAL_LOWER()</span></code></a>, <a class="reference internal" href="#pypdevsbbl.generic.math.Integrator.INTEGRAL_UPPER" title="pypdevsbbl.generic.math.Integrator.INTEGRAL_UPPER"><code class="xref py py-meth docutils literal notranslate"><span class="pre">INTEGRAL_UPPER()</span></code></a> or
    383. 

  383. <a class="reference internal" href="#pypdevsbbl.generic.math.Integrator.INTEGRAL_TRAPEZOID" title="pypdevsbbl.generic.math.Integrator.INTEGRAL_TRAPEZOID"><code class="xref py py-meth docutils literal notranslate"><span class="pre">INTEGRAL_TRAPEZOID()</span></code></a>. Defaults to <a class="reference internal" href="#pypdevsbbl.generic.math.Integrator.INTEGRAL_TRAPEZOID" title="pypdevsbbl.generic.math.Integrator.INTEGRAL_TRAPEZOID"><code class="xref py py-meth docutils literal notranslate"><span class="pre">INTEGRAL_TRAPEZOID()</span></code></a>.</li>
    384. 

  384. </ul>
    385. 

  385. </td>
    386. 

  386. </tr>
    387. 

  387. <tr class="field-even field"><th class="field-name">State:</th><td class="field-body"><ul class="first simple">
    388. 

  388. <li><strong>prev</strong> (<em>numeric</em>) – The previous value of the integral. Defaults to the initial condition.</li>
    389. 

  389. <li><strong>v</strong> (<em>numeric</em>) – The current integral.</li>
    390. 

  390. <li><strong>fprev</strong> (<em>numeric</em>) – The previous value of the function. When <code class="docutils literal notranslate"><span class="pre">None</span></code>, the <code class="xref py py-attr docutils literal notranslate"><span class="pre">method</span></code> is
    391. 

  391. ignored.</li>
    392. 

  392. </ul>
    393. 

  393. </td>
    394. 

  394. </tr>
    395. 

  395. <tr class="field-odd field"><th class="field-name">Input Ports:</th><td class="field-body"><p class="first"><strong>input</strong> (<em>numeric</em>) – The new value.</p>
    396. 

  396. </td>
    397. 

  397. </tr>
    398. 

  398. <tr class="field-even field"><th class="field-name">Output Ports:</th><td class="field-body"><p class="first last"><strong>result</strong> (<em>numeric</em>) – The differential.</p>
    399. 

  399. </td>
    400. 

  400. </tr>
    401. 

  401. </tbody>
    402. 

  402. </table>
    403. 

  403. <dl class="method">
    404. 

  404. <dt id="pypdevsbbl.generic.math.Integrator.INTEGRAL_LOWER">
    405. 

  405. <code class="descname">INTEGRAL_LOWER</code><span class="sig-paren">(</span><em>curr</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Integrator.INTEGRAL_LOWER"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Integrator.INTEGRAL_LOWER" title="Permalink to this definition">¶</a></dt>
    406. 

  406. <dd><p>Computes the integral from the lower-bound.</p>
    407. 

  407. <p><span class="math notranslate nohighlight">\({\displaystyle \int_{t - \Delta t}^t} f(\tau)\ d\tau = \Delta t\cdot f(t - \Delta t)\)</span></p>
    408. 

  408. <table class="docutils field-list" frame="void" rules="none">
    409. 

  409. <col class="field-name" />
    410. 

  410. <col class="field-body" />
    411. 

  411. <tbody valign="top">
    412. 

  412. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>curr</strong> (<em>numeric</em>) – Current input value.</td>
    413. 

  413. </tr>
    414. 

  414. </tbody>
    415. 

  415. </table>
    416. 

  416. </dd></dl>
    417. 

  417. 

  418. <dl class="method">
    419. 

  419. <dt id="pypdevsbbl.generic.math.Integrator.INTEGRAL_UPPER">
    420. 

  420. <code class="descname">INTEGRAL_UPPER</code><span class="sig-paren">(</span><em>curr</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Integrator.INTEGRAL_UPPER"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Integrator.INTEGRAL_UPPER" title="Permalink to this definition">¶</a></dt>
    421. 

  421. <dd><p>Computes the integral from the upper-bound.</p>
    422. 

  422. <p><span class="math notranslate nohighlight">\({\displaystyle \int_{t - \Delta t}^t} f(\tau)\ d\tau = \Delta t\cdot f(t)\)</span></p>
    423. 

  423. <table class="docutils field-list" frame="void" rules="none">
    424. 

  424. <col class="field-name" />
    425. 

  425. <col class="field-body" />
    426. 

  426. <tbody valign="top">
    427. 

  427. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>curr</strong> (<em>numeric</em>) – Current input value.</td>
    428. 

  428. </tr>
    429. 

  429. </tbody>
    430. 

  430. </table>
    431. 

  431. </dd></dl>
    432. 

  432. 

  433. <dl class="method">
    434. 

  434. <dt id="pypdevsbbl.generic.math.Integrator.INTEGRAL_TRAPEZOID">
    435. 

  435. <code class="descname">INTEGRAL_TRAPEZOID</code><span class="sig-paren">(</span><em>curr</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Integrator.INTEGRAL_TRAPEZOID"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Integrator.INTEGRAL_TRAPEZOID" title="Permalink to this definition">¶</a></dt>
    436. 

  436. <dd><p>Computes the integral with the trapezoidal rule.</p>
    437. 

  437. <p><span class="math notranslate nohighlight">\({\displaystyle \int_{t - \Delta t}^t} f(\tau)\ d\tau =             \dfrac{\Delta t\cdot\left(f(t - \Delta t) + f(t)\right)}{2}\)</span></p>
    438. 

  438. <table class="docutils field-list" frame="void" rules="none">
    439. 

  439. <col class="field-name" />
    440. 

  440. <col class="field-body" />
    441. 

  441. <tbody valign="top">
    442. 

  442. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>curr</strong> (<em>numeric</em>) – Current input value.</td>
    443. 

  443. </tr>
    444. 

  444. </tbody>
    445. 

  445. </table>
    446. 

  446. </dd></dl>
    447. 

  447. 

  448. <dl class="method">
    449. 

  449. <dt id="pypdevsbbl.generic.math.Integrator.extTransition">
    450. 

  450. <code class="descname">extTransition</code><span class="sig-paren">(</span><em>inputs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Integrator.extTransition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Integrator.extTransition" title="Permalink to this definition">¶</a></dt>
    451. 

  451. <dd></dd></dl>
    452. 

  452. 

  453. </dd></dl>
    454. 

  454. 

  455. <dl class="class">
    456. 

  456. <dt id="pypdevsbbl.generic.math.Random">
    457. 

  457. <em class="property">class </em><code class="descclassname">pypdevsbbl.generic.math.</code><code class="descname">Random</code><span class="sig-paren">(</span><em>name: str</em>, <em>seed=None</em>, <em>dist=&lt;function Random.&lt;lambda&gt;&gt;</em>, <em>args=()</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Random"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Random" title="Permalink to this definition">¶</a></dt>
    458. 

  458. <dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">pypdevs.DEVS.AtomicDEVS</span></code></p>
    459. 

  459. <p><code class="xref py py-class docutils literal notranslate"><span class="pre">AtomicDEVS</span></code> that generates a random number every time a message arrives.</p>
    460. 

  460. <p>It makes use of the RngStreams random number generator i.i.d. (0, 1).
    461. 

  461. Using the <code class="docutils literal notranslate"><span class="pre">dist</span></code> argument, one can simply change the distribution over which
    462. 

  462. numbers need to be generated. The <code class="xref py py-mod docutils literal notranslate"><span class="pre">pypdevsbbl.extra.rngstreams.distributions</span></code>
    463. 

  463. module provides an extensive implementation of a lot of distributions.</p>
    464. 

  464. <div class="admonition seealso">
    465. 

  465. <p class="first admonition-title">See also</p>
    466. 

  466. <ul class="last simple">
    467. 

  467. <li><a class="reference internal" href="pypdevsbbl.generic.generators.html#pypdevsbbl.generic.generators.RandomNumberGenerator" title="pypdevsbbl.generic.generators.RandomNumberGenerator"><code class="xref py py-class docutils literal notranslate"><span class="pre">pypdevsbbl.generic.generators.RandomNumberGenerator</span></code></a></li>
    468. 

  468. <li><a class="reference internal" href="pypdevsbbl.generic.generators.html#pypdevsbbl.generic.generators.RandomDelayGenerator" title="pypdevsbbl.generic.generators.RandomDelayGenerator"><code class="xref py py-class docutils literal notranslate"><span class="pre">pypdevsbbl.generic.generators.RandomDelayGenerator</span></code></a></li>
    469. 

  469. <li><a class="reference internal" href="pypdevsbbl.extra.rngstreams.html#module-pypdevsbbl.extra.rngstreams" title="pypdevsbbl.extra.rngstreams"><code class="xref py py-mod docutils literal notranslate"><span class="pre">pypdevsbbl.extra.rngstreams</span></code></a></li>
    470. 

  470. <li><code class="xref py py-mod docutils literal notranslate"><span class="pre">pypdevsbbl.extra.rngstreams.distributions</span></code></li>
    471. 

  471. </ul>
    472. 

  472. </div>
    473. 

  473. <div align="center" class="align-center"><img alt="_images/random.svg" src="_images/random.svg" /></div>
    474. 

  474. <table class="docutils field-list" frame="void" rules="none">
    475. 

  475. <col class="field-name" />
    476. 

  476. <col class="field-body" />
    477. 

  477. <tbody valign="top">
    478. 

  478. <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    479. 

  479. <li><strong>name</strong> (<em>str</em>) – The name of the block and the RNG.</li>
    480. 

  480. <li><strong>seed</strong> (<em>numeric</em>) – The seed for the generator. When <code class="docutils literal notranslate"><span class="pre">None</span></code>, no seed will be
    481. 

  481. set. Defaults to <code class="docutils literal notranslate"><span class="pre">None</span></code>.</li>
    482. 

  482. <li><strong>dist</strong> (<em>def</em>) – A stateless function that implements an inversive cumulative
    483. 

  483. distribution function. It takes at least a single argument,
    484. 

  484. which falls in (0, 1).
    485. 

  485. Defaults to a uniform distribution over (0, 1).</li>
    486. 

  486. <li><strong>args</strong> (<em>tuple</em>) – Optional additional arguments to add to the distribution.</li>
    487. 

  487. </ul>
    488. 

  488. </td>
    489. 

  489. </tr>
    490. 

  490. <tr class="field-even field"><th class="field-name">State:</th><td class="field-body"><ul class="first simple">
    491. 

  491. <li><strong>num</strong> (<em>numeric</em>) – The random number that’s being/needs to be outputted.</li>
    492. 

  492. <li><strong>item</strong> (<em>any</em>) – The item that’s passing through.</li>
    493. 

  493. </ul>
    494. 

  494. </td>
    495. 

  495. </tr>
    496. 

  496. <tr class="field-odd field"><th class="field-name">Input Ports:</th><td class="field-body"><p class="first"><strong>input</strong> (<em>any</em>) – A new input, indicative of an random number request.</p>
    497. 

  497. </td>
    498. 

  498. </tr>
    499. 

  499. <tr class="field-even field"><th class="field-name">Output Ports:</th><td class="field-body"><ul class="first last simple">
    500. 

  500. <li><strong>random</strong> (<em>numeric</em>) – The random number.</li>
    501. 

  501. <li><strong>value</strong> (<em>any</em>) – Outputs the input once more.</li>
    502. 

  502. </ul>
    503. 

  503. </td>
    504. 

  504. </tr>
    505. 

  505. </tbody>
    506. 

  506. </table>
    507. 

  507. <dl class="method">
    508. 

  508. <dt id="pypdevsbbl.generic.math.Random.timeAdvance">
    509. 

  509. <code class="descname">timeAdvance</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Random.timeAdvance"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Random.timeAdvance" title="Permalink to this definition">¶</a></dt>
    510. 

  510. <dd></dd></dl>
    511. 

  511. 

  512. <dl class="method">
    513. 

  513. <dt id="pypdevsbbl.generic.math.Random.extTransition">
    514. 

  514. <code class="descname">extTransition</code><span class="sig-paren">(</span><em>inputs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Random.extTransition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Random.extTransition" title="Permalink to this definition">¶</a></dt>
    515. 

  515. <dd></dd></dl>
    516. 

  516. 

  517. <dl class="method">
    518. 

  518. <dt id="pypdevsbbl.generic.math.Random.intTransition">
    519. 

  519. <code class="descname">intTransition</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Random.intTransition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Random.intTransition" title="Permalink to this definition">¶</a></dt>
    520. 

  520. <dd></dd></dl>
    521. 

  521. 

  522. <dl class="method">
    523. 

  523. <dt id="pypdevsbbl.generic.math.Random.outputFnc">
    524. 

  524. <code class="descname">outputFnc</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Random.outputFnc"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Random.outputFnc" title="Permalink to this definition">¶</a></dt>
    525. 

  525. <dd></dd></dl>
    526. 

  526. 

  527. <dl class="method">
    528. 

  528. <dt id="pypdevsbbl.generic.math.Random.next">
    529. 

  529. <code class="descname">next</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pypdevsbbl/generic/math.html#Random.next"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pypdevsbbl.generic.math.Random.next" title="Permalink to this definition">¶</a></dt>
    530. 

  530. <dd><p>Obtains a random variable w.r.t. this block’s config.</p>
    531. 

  531. <p>Do note that this updates the gen object, meaning it must only be called
    532. 

  532. in functions that may update the state.</p>
    533. 

  533. </dd></dl>
    534. 

  534. 

  535. </dd></dl>
    536. 

  536. 

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    538. 

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    547. 

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